diff options
636 files changed, 154647 insertions, 0 deletions
diff --git a/Master/bin/aarch64-linux/ketcindy b/Master/bin/aarch64-linux/ketcindy new file mode 120000 index 00000000000..54a10e58693 --- /dev/null +++ b/Master/bin/aarch64-linux/ketcindy @@ -0,0 +1 @@ +../../texmf-dist/scripts/ketcindy/ketcindy.sh
\ No newline at end of file diff --git a/Master/bin/amd64-freebsd/ketcindy b/Master/bin/amd64-freebsd/ketcindy new file mode 120000 index 00000000000..54a10e58693 --- /dev/null +++ b/Master/bin/amd64-freebsd/ketcindy @@ -0,0 +1 @@ +../../texmf-dist/scripts/ketcindy/ketcindy.sh
\ No newline at end of file diff --git a/Master/bin/amd64-netbsd/ketcindy b/Master/bin/amd64-netbsd/ketcindy new file mode 120000 index 00000000000..54a10e58693 --- /dev/null +++ b/Master/bin/amd64-netbsd/ketcindy @@ -0,0 +1 @@ +../../texmf-dist/scripts/ketcindy/ketcindy.sh
\ No newline at end of file diff --git a/Master/bin/armhf-linux/ketcindy b/Master/bin/armhf-linux/ketcindy new file mode 120000 index 00000000000..54a10e58693 --- /dev/null +++ b/Master/bin/armhf-linux/ketcindy @@ -0,0 +1 @@ +../../texmf-dist/scripts/ketcindy/ketcindy.sh
\ No newline at end of file diff --git a/Master/bin/i386-cygwin/ketcindy b/Master/bin/i386-cygwin/ketcindy new file mode 120000 index 00000000000..54a10e58693 --- /dev/null +++ b/Master/bin/i386-cygwin/ketcindy @@ -0,0 +1 @@ +../../texmf-dist/scripts/ketcindy/ketcindy.sh
\ No newline at end of file diff --git a/Master/bin/i386-freebsd/ketcindy b/Master/bin/i386-freebsd/ketcindy new file mode 120000 index 00000000000..54a10e58693 --- /dev/null +++ b/Master/bin/i386-freebsd/ketcindy @@ -0,0 +1 @@ +../../texmf-dist/scripts/ketcindy/ketcindy.sh
\ No newline at end of file diff --git a/Master/bin/i386-linux/ketcindy b/Master/bin/i386-linux/ketcindy new file mode 120000 index 00000000000..54a10e58693 --- /dev/null +++ b/Master/bin/i386-linux/ketcindy @@ -0,0 +1 @@ +../../texmf-dist/scripts/ketcindy/ketcindy.sh
\ No newline at end of file diff --git a/Master/bin/i386-netbsd/ketcindy b/Master/bin/i386-netbsd/ketcindy new file mode 120000 index 00000000000..54a10e58693 --- /dev/null +++ b/Master/bin/i386-netbsd/ketcindy @@ -0,0 +1 @@ +../../texmf-dist/scripts/ketcindy/ketcindy.sh
\ No newline at end of file diff --git a/Master/bin/i386-solaris/ketcindy b/Master/bin/i386-solaris/ketcindy new file mode 120000 index 00000000000..54a10e58693 --- /dev/null +++ b/Master/bin/i386-solaris/ketcindy @@ -0,0 +1 @@ +../../texmf-dist/scripts/ketcindy/ketcindy.sh
\ No newline at end of file diff --git a/Master/bin/sparc-solaris/ketcindy b/Master/bin/sparc-solaris/ketcindy new file mode 120000 index 00000000000..54a10e58693 --- /dev/null +++ b/Master/bin/sparc-solaris/ketcindy @@ -0,0 +1 @@ +../../texmf-dist/scripts/ketcindy/ketcindy.sh
\ No newline at end of file diff --git a/Master/bin/x86_64-cygwin/ketcindy b/Master/bin/x86_64-cygwin/ketcindy new file mode 120000 index 00000000000..54a10e58693 --- /dev/null +++ b/Master/bin/x86_64-cygwin/ketcindy @@ -0,0 +1 @@ +../../texmf-dist/scripts/ketcindy/ketcindy.sh
\ No newline at end of file diff --git a/Master/bin/x86_64-darwin/ketcindy b/Master/bin/x86_64-darwin/ketcindy new file mode 120000 index 00000000000..54a10e58693 --- /dev/null +++ b/Master/bin/x86_64-darwin/ketcindy @@ -0,0 +1 @@ +../../texmf-dist/scripts/ketcindy/ketcindy.sh
\ No newline at end of file diff --git a/Master/bin/x86_64-darwinlegacy/ketcindy b/Master/bin/x86_64-darwinlegacy/ketcindy new file mode 120000 index 00000000000..54a10e58693 --- /dev/null +++ b/Master/bin/x86_64-darwinlegacy/ketcindy @@ -0,0 +1 @@ +../../texmf-dist/scripts/ketcindy/ketcindy.sh
\ No newline at end of file diff --git a/Master/bin/x86_64-linux/ketcindy b/Master/bin/x86_64-linux/ketcindy new file mode 120000 index 00000000000..54a10e58693 --- /dev/null +++ b/Master/bin/x86_64-linux/ketcindy @@ -0,0 +1 @@ +../../texmf-dist/scripts/ketcindy/ketcindy.sh
\ No newline at end of file diff --git a/Master/bin/x86_64-linuxmusl/ketcindy b/Master/bin/x86_64-linuxmusl/ketcindy new file mode 120000 index 00000000000..54a10e58693 --- /dev/null +++ b/Master/bin/x86_64-linuxmusl/ketcindy @@ -0,0 +1 @@ +../../texmf-dist/scripts/ketcindy/ketcindy.sh
\ No newline at end of file diff --git a/Master/bin/x86_64-solaris/ketcindy b/Master/bin/x86_64-solaris/ketcindy new file mode 120000 index 00000000000..54a10e58693 --- /dev/null +++ b/Master/bin/x86_64-solaris/ketcindy @@ -0,0 +1 @@ +../../texmf-dist/scripts/ketcindy/ketcindy.sh
\ No newline at end of file diff --git a/Master/texmf-dist/doc/support/ketcindy/CindyJS/Cindy.js b/Master/texmf-dist/doc/support/ketcindy/CindyJS/Cindy.js new file mode 100644 index 00000000000..04aa2fd9134 --- /dev/null +++ b/Master/texmf-dist/doc/support/ketcindy/CindyJS/Cindy.js @@ -0,0 +1,781 @@ +/* CindyJS - (C) 2014-2016 The CindyJS Project + * Mostly licensed under the Apache License 2.0, but subprojects may use different licensing. + * See https://github.com/CindyJS/CindyJS/tree/bb244cab7fdc8d4ea030751ec40c6d384c09f464 + * for corresponding sources and their respective licensing conditions. + */ +var enableInlineVideo=function(){function p(f,k,p,F){function E(p){ea=k(E,F);f(p-(K||p));K=p}var ea,K;return{start:function(){ea||E(0)},stop:function(){p(ea);ea=null;K=0}}}function E(f,k,p,F){function E(k){!!f[p]===!!F&&k.stopImmediatePropagation();delete f[p]}return f.addEventListener(k,E,!1),E}function ja(f,k,p,F){function E(f){p[k]=f}F&&E(f[k]);Object.defineProperty(f,k,{get:function(){return p[k]},set:E})}function Ca(f,k,p){p.addEventListener(k,function(){return f.dispatchEvent(new Event(k))})} +function pa(f,k){Promise.resolve().then(function(){f.dispatchEvent(new Event(k))})}function Da(f){var k=new Audio;return Ca(f,"play",k),Ca(f,"playing",k),Ca(f,"pause",k),k.crossOrigin=f.crossOrigin,k.src=f.src||f.currentSrc||"data:",k}function aa(k,p,F){(K||0)+200<Date.now()&&(k[Ea]=!0,K=Date.now());F||(k.currentTime=p);f[++nb%3]=100*p|0}function k(f){this.video.readyState>=this.video.HAVE_FUTURE_DATA?(this.hasAudio||(this.driver.currentTime=this.video.currentTime+f*this.video.playbackRate/1E3,this.video.loop&& +this.driver.currentTime>=this.video.duration&&(this.driver.currentTime=0)),aa(this.video,this.driver.currentTime)):this.video.networkState===this.video.NETWORK_IDLE&&0===this.video.buffered.length&&this.video.load();this.video.ended&&(delete this.video[Ea],this.video.pause(!0))}function Oa(){var f=this[W];return this.webkitDisplayingFullscreen?void this[ob]():("data:"!==f.driver.src&&f.driver.src!==this.src&&(aa(this,0,!0),f.driver.src=this.src),void(this.paused&&(f.paused=!1,0===this.buffered.length&& +this.load(),f.driver.play(),f.updater.start(),f.hasAudio||(pa(this,"play"),f.video.readyState>=f.video.HAVE_ENOUGH_DATA&&pa(this,"playing")))))}function F(f){var k=this[W];k.driver.pause();k.updater.stop();this.webkitDisplayingFullscreen&&this[sa]();k.paused&&!f||(k.paused=!0,k.hasAudio||pa(this,"pause"),this.ended&&(this[Ea]=!0,pa(this,"ended")))}function ea(F,E){var I=F[W]={};I.paused=!0;I.hasAudio=E;I.video=F;I.updater=p(k.bind(I),requestAnimationFrame,cancelAnimationFrame);E?I.driver=Da(F):(F.addEventListener("canplay", +function(){F.paused||pa(F,"playing")}),I.driver={src:F.src||F.currentSrc||"data:",muted:!0,paused:!0,pause:function(){I.driver.paused=!0},play:function(){I.driver.paused=!1;I.driver.currentTime>=I.video.duration&&aa(F,0)},get ended(){return I.driver.currentTime>=I.video.duration}});F.addEventListener("emptied",function(){var f=!I.driver.src||"data:"===I.driver.src;I.driver.src&&I.driver.src!==F.src&&(aa(F,0,!0),I.driver.src=F.src,f?I.driver.play():I.updater.stop())},!1);F.addEventListener("webkitbeginfullscreen", +function(){F.paused?E&&0===I.driver.buffered.length&&I.driver.load():(F.pause(),F[ob]())});E&&(F.addEventListener("webkitendfullscreen",function(){I.driver.currentTime=F.currentTime}),F.addEventListener("seeking",function(){0>f.indexOf(100*F.currentTime|0)&&(I.driver.currentTime=F.currentTime)}))}var K,U="object"==typeof document&&"object-fit"in document.head.style&&!matchMedia("(-webkit-video-playable-inline)").matches,W="bfred-it:iphone-inline-video",Ea="bfred-it:iphone-inline-video:event",ob="bfred-it:iphone-inline-video:nativeplay", +sa="bfred-it:iphone-inline-video:nativepause",f=[],nb=0;return function(f,k){if(void 0===k&&(k={}),!f[W])if(k.everywhere||U&&(k.iPad||k.ipad?/iPhone|iPod|iPad/:/iPhone|iPod/).test(navigator.userAgent)){!f.paused&&f.webkitDisplayingFullscreen&&f.pause();ea(f,!f.muted);var p=f[W];f[ob]=f.play;f[sa]=f.pause;f.play=Oa;f.pause=F;ja(f,"paused",p.driver);ja(f,"muted",p.driver,!0);ja(f,"playbackRate",p.driver,!0);ja(f,"ended",p.driver);ja(f,"loop",p.driver,!0);E(f,"seeking");E(f,"seeked");E(f,"timeupdate", +Ea,!1);E(f,"ended",Ea,!1);f.classList.add("IIV");f.muted&&f.autoplay&&f.play();/iPhone|iPod|iPad/.test(navigator.platform)||console.warn("iphone-inline-video is not guaranteed to work in emulated environments")}}}(); +(function(){function p(b,d,e){f.biginteger_used=1;null!=b&&("number"==typeof b&&"undefined"==typeof d?this.fromInt(b):"number"==typeof b?this.fromNumber(b,d,e):null==d&&"string"!=typeof b?this.fromString(b,256):this.fromString(b,d))}function E(){return new p(null,void 0,void 0)}function ja(b,d,e,q,f,k){for(;0<=--k;){var v=d*this[b++]+e[q]+f;f=Math.floor(v/67108864);e[q++]=v&67108863}return f}function Ca(b,d,e,q,f,k){var v=d&32767;for(d>>=15;0<=--k;){var C=this[b]&32767,p=this[b++]>>15,F=d*C+p*v,C= +v*C+((F&32767)<<15)+e[q]+(f&1073741823);f=(C>>>30)+(F>>>15)+d*p+(f>>>30);e[q++]=C&1073741823}return f}function pa(b,d,e,q,f,k){var v=d&16383;for(d>>=14;0<=--k;){var C=this[b]&16383,p=this[b++]>>14,F=d*C+p*v,C=v*C+((F&16383)<<14)+e[q]+f;f=(C>>28)+(F>>14)+d*p;e[q++]=C&268435455}return f}function Da(b,d){var e=cb[b.charCodeAt(d)];return null==e?-1:e}function aa(b){var d=E();d.fromInt(b);return d}function k(b){var d=1,e;0!=(e=b>>>16)&&(b=e,d+=16);0!=(e=b>>8)&&(b=e,d+=8);0!=(e=b>>4)&&(b=e,d+=4);0!=(e= +b>>2)&&(b=e,d+=2);0!=b>>1&&(d+=1);return d}function Oa(b){this.m=b}function F(b){this.m=b;this.mp=b.invDigit();this.mpl=this.mp&32767;this.mph=this.mp>>15;this.um=(1<<b.DB-15)-1;this.mt2=2*b.t}function ea(b,d){return b&d}function K(b,d){return b|d}function U(b,d){return b^d}function W(b,d){return b&~d}function Ea(){}function ob(b){return b}function sa(b){this.r2=E();this.q3=E();p.ONE.dlShiftTo(2*b.t,this.r2);this.mu=this.r2.divide(b);this.m=b}var f={use_lines:!0,use_xyz:!1},nb=!1;"undefined"!==typeof module&& +module.exports?(module.exports=f,nb=!0):"undefined"!==typeof document?window.ClipperLib=f:self.ClipperLib=f;var V;if(nb)Y="chrome",V="Netscape";else{var Y=navigator.userAgent.toString().toLowerCase();V=navigator.appName}var I,Xb,Jb,Qa,ab,xb;I=-1!=Y.indexOf("chrome")&&-1==Y.indexOf("chromium")?1:0;nb=-1!=Y.indexOf("chromium")?1:0;Xb=-1!=Y.indexOf("safari")&&-1==Y.indexOf("chrome")&&-1==Y.indexOf("chromium")?1:0;Jb=-1!=Y.indexOf("firefox")?1:0;Y.indexOf("firefox/17");Y.indexOf("firefox/15");Y.indexOf("firefox/3"); +Qa=-1!=Y.indexOf("opera")?1:0;Y.indexOf("msie 10");Y.indexOf("msie 9");ab=-1!=Y.indexOf("msie 8")?1:0;xb=-1!=Y.indexOf("msie 7")?1:0;Y=-1!=Y.indexOf("msie ")?1:0;f.biginteger_used=null;"Microsoft Internet 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d=0;d<this.m.t;++d){var e=b[d]&32767,q=e*this.mpl+((e*this.mph+(b[d]>>15)*this.mpl&this.um)<<15)&b.DM,e=d+this.m.t;for(b[e]+=this.m.am(0,q,b,d,0,this.m.t);b[e]>=b.DV;)b[e]-=b.DV,b[++e]++}b.clamp();b.drShiftTo(this.m.t,b);0<=b.compareTo(this.m)&&b.subTo(this.m,b)};F.prototype.mulTo=function(b,d,e){b.multiplyTo(d,e);this.reduce(e)}; +F.prototype.sqrTo=function(b,d){b.squareTo(d);this.reduce(d)};p.prototype.copyTo=function(b){for(var d=this.t-1;0<=d;--d)b[d]=this[d];b.t=this.t;b.s=this.s};p.prototype.fromInt=function(b){this.t=1;this.s=0>b?-1:0;0<b?this[0]=b:-1>b?this[0]=b+this.DV:this.t=0};p.prototype.fromString=function(b,d){var e;if(16==d)e=4;else if(8==d)e=3;else if(256==d)e=8;else if(2==d)e=1;else if(32==d)e=5;else if(4==d)e=2;else{this.fromRadix(b,d);return}this.s=this.t=0;for(var q=b.length,f=!1,k=0;0<=--q;){var v=8==e? +b[q]&255:Da(b,q);0>v?"-"==b.charAt(q)&&(f=!0):(f=!1,0==k?this[this.t++]=v:k+e>this.DB?(this[this.t-1]|=(v&(1<<this.DB-k)-1)<<k,this[this.t++]=v>>this.DB-k):this[this.t-1]|=v<<k,k+=e,k>=this.DB&&(k-=this.DB))}8==e&&0!=(b[0]&128)&&(this.s=-1,0<k&&(this[this.t-1]|=(1<<this.DB-k)-1<<k));this.clamp();f&&p.ZERO.subTo(this,this)};p.prototype.clamp=function(){for(var b=this.s&this.DM;0<this.t&&this[this.t-1]==b;)--this.t};p.prototype.dlShiftTo=function(b,d){var e;for(e=this.t-1;0<=e;--e)d[e+b]=this[e];for(e= +b-1;0<=e;--e)d[e]=0;d.t=this.t+b;d.s=this.s};p.prototype.drShiftTo=function(b,d){for(var e=b;e<this.t;++e)d[e-b]=this[e];d.t=Math.max(this.t-b,0);d.s=this.s};p.prototype.lShiftTo=function(b,d){var e=b%this.DB,q=this.DB-e,f=(1<<q)-1,k=Math.floor(b/this.DB),v=this.s<<e&this.DM,C;for(C=this.t-1;0<=C;--C)d[C+k+1]=this[C]>>q|v,v=(this[C]&f)<<e;for(C=k-1;0<=C;--C)d[C]=0;d[k]=v;d.t=this.t+k+1;d.s=this.s;d.clamp()};p.prototype.rShiftTo=function(b,d){d.s=this.s;var e=Math.floor(b/this.DB);if(e>=this.t)d.t= +0;else{var q=b%this.DB,f=this.DB-q,k=(1<<q)-1;d[0]=this[e]>>q;for(var v=e+1;v<this.t;++v)d[v-e-1]|=(this[v]&k)<<f,d[v-e]=this[v]>>q;0<q&&(d[this.t-e-1]|=(this.s&k)<<f);d.t=this.t-e;d.clamp()}};p.prototype.subTo=function(b,d){for(var e=0,f=0,n=Math.min(b.t,this.t);e<n;)f+=this[e]-b[e],d[e++]=f&this.DM,f>>=this.DB;if(b.t<this.t){for(f-=b.s;e<this.t;)f+=this[e],d[e++]=f&this.DM,f>>=this.DB;f+=this.s}else{for(f+=this.s;e<b.t;)f-=b[e],d[e++]=f&this.DM,f>>=this.DB;f-=b.s}d.s=0>f?-1:0;-1>f?d[e++]=this.DV+ +f:0<f&&(d[e++]=f);d.t=e;d.clamp()};p.prototype.multiplyTo=function(b,d){var e=this.abs(),f=b.abs(),n=e.t;for(d.t=n+f.t;0<=--n;)d[n]=0;for(n=0;n<f.t;++n)d[n+e.t]=e.am(0,f[n],d,n,0,e.t);d.s=0;d.clamp();this.s!=b.s&&p.ZERO.subTo(d,d)};p.prototype.squareTo=function(b){for(var d=this.abs(),e=b.t=2*d.t;0<=--e;)b[e]=0;for(e=0;e<d.t-1;++e){var f=d.am(e,d[e],b,2*e,0,1);(b[e+d.t]+=d.am(e+1,2*d[e],b,2*e+1,f,d.t-e-1))>=d.DV&&(b[e+d.t]-=d.DV,b[e+d.t+1]=1)}0<b.t&&(b[b.t-1]+=d.am(e,d[e],b,2*e,0,1));b.s=0;b.clamp()}; +p.prototype.divRemTo=function(b,d,e){var f=b.abs();if(!(0>=f.t)){var n=this.abs();if(n.t<f.t)null!=d&&d.fromInt(0),null!=e&&this.copyTo(e);else{null==e&&(e=E());var N=E(),v=this.s;b=b.s;var C=this.DB-k(f[f.t-1]);0<C?(f.lShiftTo(C,N),n.lShiftTo(C,e)):(f.copyTo(N),n.copyTo(e));f=N.t;n=N[f-1];if(0!=n){var F=n*(1<<this.F1)+(1<f?N[f-2]>>this.F2:0),bb=this.FV/F,F=(1<<this.F1)/F,pb=1<<this.F2,H=e.t,ea=H-f,K=null==d?E():d;N.dlShiftTo(ea,K);0<=e.compareTo(K)&&(e[e.t++]=1,e.subTo(K,e));p.ONE.dlShiftTo(f,K); +for(K.subTo(N,N);N.t<f;)N[N.t++]=0;for(;0<=--ea;){var I=e[--H]==n?this.DM:Math.floor(e[H]*bb+(e[H-1]+pb)*F);if((e[H]+=N.am(0,I,e,ea,0,f))<I)for(N.dlShiftTo(ea,K),e.subTo(K,e);e[H]<--I;)e.subTo(K,e)}null!=d&&(e.drShiftTo(f,d),v!=b&&p.ZERO.subTo(d,d));e.t=f;e.clamp();0<C&&e.rShiftTo(C,e);0>v&&p.ZERO.subTo(e,e)}}}};p.prototype.invDigit=function(){if(1>this.t)return 0;var b=this[0];if(0==(b&1))return 0;var d=b&3,d=d*(2-(b&15)*d)&15,d=d*(2-(b&255)*d)&255,d=d*(2-((b&65535)*d&65535))&65535,d=d*(2-b*d%this.DV)% +this.DV;return 0<d?this.DV-d:-d};p.prototype.isEven=function(){return 0==(0<this.t?this[0]&1:this.s)};p.prototype.exp=function(b,d){if(4294967295<b||1>b)return p.ONE;var e=E(),f=E(),n=d.convert(this),N=k(b)-1;for(n.copyTo(e);0<=--N;)if(d.sqrTo(e,f),0<(b&1<<N))d.mulTo(f,n,e);else var v=e,e=f,f=v;return d.revert(e)};p.prototype.toString=function(b){if(0>this.s)return"-"+this.negate().toString(b);if(16==b)b=4;else if(8==b)b=3;else if(2==b)b=1;else if(32==b)b=5;else if(4==b)b=2;else return this.toRadix(b); +var d=(1<<b)-1,e,f=!1,n="",k=this.t,v=this.DB-k*this.DB%b;if(0<k--)for(v<this.DB&&0<(e=this[k]>>v)&&(f=!0,n="0123456789abcdefghijklmnopqrstuvwxyz".charAt(e));0<=k;)v<b?(e=(this[k]&(1<<v)-1)<<b-v,e|=this[--k]>>(v+=this.DB-b)):(e=this[k]>>(v-=b)&d,0>=v&&(v+=this.DB,--k)),0<e&&(f=!0),f&&(n+="0123456789abcdefghijklmnopqrstuvwxyz".charAt(e));return f?n:"0"};p.prototype.negate=function(){var b=E();p.ZERO.subTo(this,b);return b};p.prototype.abs=function(){return 0>this.s?this.negate():this};p.prototype.compareTo= +function(b){var d=this.s-b.s;if(0!=d)return d;var e=this.t,d=e-b.t;if(0!=d)return 0>this.s?-d:d;for(;0<=--e;)if(0!=(d=this[e]-b[e]))return d;return 0};p.prototype.bitLength=function(){return 0>=this.t?0:this.DB*(this.t-1)+k(this[this.t-1]^this.s&this.DM)};p.prototype.mod=function(b){var d=E();this.abs().divRemTo(b,null,d);0>this.s&&0<d.compareTo(p.ZERO)&&b.subTo(d,d);return d};p.prototype.modPowInt=function(b,d){var e;e=256>b||d.isEven()?new Oa(d):new F(d);return this.exp(b,e)};p.ZERO=aa(0);p.ONE= +aa(1);Ea.prototype.convert=ob;Ea.prototype.revert=ob;Ea.prototype.mulTo=function(b,d,e){b.multiplyTo(d,e)};Ea.prototype.sqrTo=function(b,d){b.squareTo(d)};sa.prototype.convert=function(b){if(0>b.s||b.t>2*this.m.t)return b.mod(this.m);if(0>b.compareTo(this.m))return b;var d=E();b.copyTo(d);this.reduce(d);return d};sa.prototype.revert=function(b){return b};sa.prototype.reduce=function(b){b.drShiftTo(this.m.t-1,this.r2);b.t>this.m.t+1&&(b.t=this.m.t+1,b.clamp());this.mu.multiplyUpperTo(this.r2,this.m.t+ +1,this.q3);for(this.m.multiplyLowerTo(this.q3,this.m.t+1,this.r2);0>b.compareTo(this.r2);)b.dAddOffset(1,this.m.t+1);for(b.subTo(this.r2,b);0<=b.compareTo(this.m);)b.subTo(this.m,b)};sa.prototype.mulTo=function(b,d,e){b.multiplyTo(d,e);this.reduce(e)};sa.prototype.sqrTo=function(b,d){b.squareTo(d);this.reduce(d)};var H=[2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,53,59,61,67,71,73,79,83,89,97,101,103,107,109,113,127,131,137,139,149,151,157,163,167,173,179,181,191,193,197,199,211,223,227,229,233,239, +241,251,257,263,269,271,277,281,283,293,307,311,313,317,331,337,347,349,353,359,367,373,379,383,389,397,401,409,419,421,431,433,439,443,449,457,461,463,467,479,487,491,499,503,509,521,523,541,547,557,563,569,571,577,587,593,599,601,607,613,617,619,631,641,643,647,653,659,661,673,677,683,691,701,709,719,727,733,739,743,751,757,761,769,773,787,797,809,811,821,823,827,829,839,853,857,859,863,877,881,883,887,907,911,919,929,937,941,947,953,967,971,977,983,991,997],Zb=67108864/H[H.length-1];p.prototype.chunkSize= +function(b){return Math.floor(Math.LN2*this.DB/Math.log(b))};p.prototype.toRadix=function(b){null==b&&(b=10);if(0==this.signum()||2>b||36<b)return"0";var d=this.chunkSize(b),d=Math.pow(b,d),e=aa(d),f=E(),n=E(),k="";for(this.divRemTo(e,f,n);0<f.signum();)k=(d+n.intValue()).toString(b).substr(1)+k,f.divRemTo(e,f,n);return n.intValue().toString(b)+k};p.prototype.fromRadix=function(b,d){this.fromInt(0);null==d&&(d=10);for(var e=this.chunkSize(d),f=Math.pow(d,e),n=!1,k=0,v=0,C=0;C<b.length;++C){var F= +Da(b,C);0>F?"-"==b.charAt(C)&&0==this.signum()&&(n=!0):(v=d*v+F,++k>=e&&(this.dMultiply(f),this.dAddOffset(v,0),v=k=0))}0<k&&(this.dMultiply(Math.pow(d,k)),this.dAddOffset(v,0));n&&p.ZERO.subTo(this,this)};p.prototype.fromNumber=function(b,d,e){if("number"==typeof d)if(2>b)this.fromInt(1);else for(this.fromNumber(b,e),this.testBit(b-1)||this.bitwiseTo(p.ONE.shiftLeft(b-1),K,this),this.isEven()&&this.dAddOffset(1,0);!this.isProbablePrime(d);)this.dAddOffset(2,0),this.bitLength()>b&&this.subTo(p.ONE.shiftLeft(b- +1),this);else{e=[];var f=b&7;e.length=(b>>3)+1;d.nextBytes(e);e[0]=0<f?e[0]&(1<<f)-1:0;this.fromString(e,256)}};p.prototype.bitwiseTo=function(b,d,e){var f,n,k=Math.min(b.t,this.t);for(f=0;f<k;++f)e[f]=d(this[f],b[f]);if(b.t<this.t){n=b.s&this.DM;for(f=k;f<this.t;++f)e[f]=d(this[f],n);e.t=this.t}else{n=this.s&this.DM;for(f=k;f<b.t;++f)e[f]=d(n,b[f]);e.t=b.t}e.s=d(this.s,b.s);e.clamp()};p.prototype.changeBit=function(b,d){var e=p.ONE.shiftLeft(b);this.bitwiseTo(e,d,e);return e};p.prototype.addTo=function(b, +d){for(var e=0,f=0,n=Math.min(b.t,this.t);e<n;)f+=this[e]+b[e],d[e++]=f&this.DM,f>>=this.DB;if(b.t<this.t){for(f+=b.s;e<this.t;)f+=this[e],d[e++]=f&this.DM,f>>=this.DB;f+=this.s}else{for(f+=this.s;e<b.t;)f+=b[e],d[e++]=f&this.DM,f>>=this.DB;f+=b.s}d.s=0>f?-1:0;0<f?d[e++]=f:-1>f&&(d[e++]=this.DV+f);d.t=e;d.clamp()};p.prototype.dMultiply=function(b){this[this.t]=this.am(0,b-1,this,0,0,this.t);++this.t;this.clamp()};p.prototype.dAddOffset=function(b,d){if(0!=b){for(;this.t<=d;)this[this.t++]=0;for(this[d]+= +b;this[d]>=this.DV;)this[d]-=this.DV,++d>=this.t&&(this[this.t++]=0),++this[d]}};p.prototype.multiplyLowerTo=function(b,d,e){var f=Math.min(this.t+b.t,d);e.s=0;for(e.t=f;0<f;)e[--f]=0;var n;for(n=e.t-this.t;f<n;++f)e[f+this.t]=this.am(0,b[f],e,f,0,this.t);for(n=Math.min(b.t,d);f<n;++f)this.am(0,b[f],e,f,0,d-f);e.clamp()};p.prototype.multiplyUpperTo=function(b,d,e){--d;var f=e.t=this.t+b.t-d;for(e.s=0;0<=--f;)e[f]=0;for(f=Math.max(d-this.t,0);f<b.t;++f)e[this.t+f-d]=this.am(d-f,b[f],e,0,0,this.t+f- +d);e.clamp();e.drShiftTo(1,e)};p.prototype.modInt=function(b){if(0>=b)return 0;var d=this.DV%b,e=0>this.s?b-1:0;if(0<this.t)if(0==d)e=this[0]%b;else for(var f=this.t-1;0<=f;--f)e=(d*e+this[f])%b;return e};p.prototype.millerRabin=function(b){var d=this.subtract(p.ONE),e=d.getLowestSetBit();if(0>=e)return!1;var f=d.shiftRight(e);b=b+1>>1;b>H.length&&(b=H.length);for(var n=E(),k=0;k<b;++k){n.fromInt(H[Math.floor(Math.random()*H.length)]);var v=n.modPow(f,this);if(0!=v.compareTo(p.ONE)&&0!=v.compareTo(d)){for(var C= +1;C++<e&&0!=v.compareTo(d);)if(v=v.modPowInt(2,this),0==v.compareTo(p.ONE))return!1;if(0!=v.compareTo(d))return!1}}return!0};p.prototype.clone=function(){var b=E();this.copyTo(b);return b};p.prototype.intValue=function(){if(0>this.s){if(1==this.t)return this[0]-this.DV;if(0==this.t)return-1}else{if(1==this.t)return this[0];if(0==this.t)return 0}return(this[1]&(1<<32-this.DB)-1)<<this.DB|this[0]};p.prototype.byteValue=function(){return 0==this.t?this.s:this[0]<<24>>24};p.prototype.shortValue=function(){return 0== +this.t?this.s:this[0]<<16>>16};p.prototype.signum=function(){return 0>this.s?-1:0>=this.t||1==this.t&&0>=this[0]?0:1};p.prototype.toByteArray=function(){var b=this.t,d=[];d[0]=this.s;var e=this.DB-b*this.DB%8,f,n=0;if(0<b--)for(e<this.DB&&(f=this[b]>>e)!=(this.s&this.DM)>>e&&(d[n++]=f|this.s<<this.DB-e);0<=b;)if(8>e?(f=(this[b]&(1<<e)-1)<<8-e,f|=this[--b]>>(e+=this.DB-8)):(f=this[b]>>(e-=8)&255,0>=e&&(e+=this.DB,--b)),0!=(f&128)&&(f|=-256),0==n&&(this.s&128)!=(f&128)&&++n,0<n||f!=this.s)d[n++]=f; +return d};p.prototype.equals=function(b){return 0==this.compareTo(b)};p.prototype.min=function(b){return 0>this.compareTo(b)?this:b};p.prototype.max=function(b){return 0<this.compareTo(b)?this:b};p.prototype.and=function(b){var d=E();this.bitwiseTo(b,ea,d);return d};p.prototype.or=function(b){var d=E();this.bitwiseTo(b,K,d);return d};p.prototype.xor=function(b){var d=E();this.bitwiseTo(b,U,d);return d};p.prototype.andNot=function(b){var d=E();this.bitwiseTo(b,W,d);return d};p.prototype.not=function(){for(var b= +E(),d=0;d<this.t;++d)b[d]=this.DM&~this[d];b.t=this.t;b.s=~this.s;return b};p.prototype.shiftLeft=function(b){var d=E();0>b?this.rShiftTo(-b,d):this.lShiftTo(b,d);return d};p.prototype.shiftRight=function(b){var d=E();0>b?this.lShiftTo(-b,d):this.rShiftTo(b,d);return d};p.prototype.getLowestSetBit=function(){for(var b=0;b<this.t;++b)if(0!=this[b]){var d=b*this.DB,b=this[b];if(0==b)b=-1;else{var e=0;0==(b&65535)&&(b>>=16,e+=16);0==(b&255)&&(b>>=8,e+=8);0==(b&15)&&(b>>=4,e+=4);0==(b&3)&&(b>>=2,e+=2); +0==(b&1)&&++e;b=e}return d+b}return 0>this.s?this.t*this.DB:-1};p.prototype.bitCount=function(){for(var b=0,d=this.s&this.DM,e=0;e<this.t;++e){for(var f=this[e]^d,n=0;0!=f;)f&=f-1,++n;b+=n}return b};p.prototype.testBit=function(b){var d=Math.floor(b/this.DB);return d>=this.t?0!=this.s:0!=(this[d]&1<<b%this.DB)};p.prototype.setBit=function(b){return this.changeBit(b,K)};p.prototype.clearBit=function(b){return this.changeBit(b,W)};p.prototype.flipBit=function(b){return this.changeBit(b,U)};p.prototype.add= +function(b){var d=E();this.addTo(b,d);return d};p.prototype.subtract=function(b){var d=E();this.subTo(b,d);return d};p.prototype.multiply=function(b){var d=E();this.multiplyTo(b,d);return d};p.prototype.divide=function(b){var d=E();this.divRemTo(b,d,null);return d};p.prototype.remainder=function(b){var d=E();this.divRemTo(b,null,d);return d};p.prototype.divideAndRemainder=function(b){var d=E(),e=E();this.divRemTo(b,d,e);return[d,e]};p.prototype.modPow=function(b,d){var e=b.bitLength(),f,n=aa(1),N; +if(0>=e)return n;f=18>e?1:48>e?3:144>e?4:768>e?5:6;N=8>e?new Oa(d):d.isEven()?new sa(d):new F(d);var v=[],C=3,p=f-1,bb=(1<<f)-1;v[1]=N.convert(this);if(1<f)for(e=E(),N.sqrTo(v[1],e);C<=bb;)v[C]=E(),N.mulTo(e,v[C-2],v[C]),C+=2;for(var H=b.t-1,K,ea=!0,I=E(),e=k(b[H])-1;0<=H;){e>=p?K=b[H]>>e-p&bb:(K=(b[H]&(1<<e+1)-1)<<p-e,0<H&&(K|=b[H-1]>>this.DB+e-p));for(C=f;0==(K&1);)K>>=1,--C;0>(e-=C)&&(e+=this.DB,--H);if(ea)v[K].copyTo(n),ea=!1;else{for(;1<C;)N.sqrTo(n,I),N.sqrTo(I,n),C-=2;0<C?N.sqrTo(n,I):(C=n, +n=I,I=C);N.mulTo(I,v[K],n)}for(;0<=H&&0==(b[H]&1<<e);)N.sqrTo(n,I),C=n,n=I,I=C,0>--e&&(e=this.DB-1,--H)}return N.revert(n)};p.prototype.modInverse=function(b){var d=b.isEven();if(this.isEven()&&d||0==b.signum())return p.ZERO;for(var e=b.clone(),f=this.clone(),n=aa(1),k=aa(0),v=aa(0),C=aa(1);0!=e.signum();){for(;e.isEven();)e.rShiftTo(1,e),d?(n.isEven()&&k.isEven()||(n.addTo(this,n),k.subTo(b,k)),n.rShiftTo(1,n)):k.isEven()||k.subTo(b,k),k.rShiftTo(1,k);for(;f.isEven();)f.rShiftTo(1,f),d?(v.isEven()&& +C.isEven()||(v.addTo(this,v),C.subTo(b,C)),v.rShiftTo(1,v)):C.isEven()||C.subTo(b,C),C.rShiftTo(1,C);0<=e.compareTo(f)?(e.subTo(f,e),d&&n.subTo(v,n),k.subTo(C,k)):(f.subTo(e,f),d&&v.subTo(n,v),C.subTo(k,C))}if(0!=f.compareTo(p.ONE))return p.ZERO;if(0<=C.compareTo(b))return C.subtract(b);if(0>C.signum())C.addTo(b,C);else return C;return 0>C.signum()?C.add(b):C};p.prototype.pow=function(b){return this.exp(b,new Ea)};p.prototype.gcd=function(b){var d=0>this.s?this.negate():this.clone();b=0>b.s?b.negate(): +b.clone();if(0>d.compareTo(b)){var e=d,d=b;b=e}var e=d.getLowestSetBit(),f=b.getLowestSetBit();if(0>f)return d;e<f&&(f=e);for(0<f&&(d.rShiftTo(f,d),b.rShiftTo(f,b));0<d.signum();)0<(e=d.getLowestSetBit())&&d.rShiftTo(e,d),0<(e=b.getLowestSetBit())&&b.rShiftTo(e,b),0<=d.compareTo(b)?(d.subTo(b,d),d.rShiftTo(1,d)):(b.subTo(d,b),b.rShiftTo(1,b));0<f&&b.lShiftTo(f,b);return b};p.prototype.isProbablePrime=function(b){var d,e=this.abs();if(1==e.t&&e[0]<=H[H.length-1]){for(d=0;d<H.length;++d)if(e[0]==H[d])return!0; +return!1}if(e.isEven())return!1;for(d=1;d<H.length;){for(var f=H[d],n=d+1;n<H.length&&f<Zb;)f*=H[n++];for(f=e.modInt(f);d<n;)if(0==f%H[d++])return!1}return e.millerRabin(b)};p.prototype.square=function(){var b=E();this.squareTo(b);return b};p.prototype.IsNegative=function(){return-1==this.compareTo(p.ZERO)?!0:!1};p.op_Equality=function(b,d){return 0==b.compareTo(d)?!0:!1};p.op_Inequality=function(b,d){return 0!=b.compareTo(d)?!0:!1};p.op_GreaterThan=function(b,d){return 0<b.compareTo(d)?!0:!1};p.op_LessThan= +function(b,d){return 0>b.compareTo(d)?!0:!1};p.op_Addition=function(b,d){return(new p(b)).add(new p(d))};p.op_Subtraction=function(b,d){return(new p(b)).subtract(new p(d))};p.Int128Mul=function(b,d){return(new p(b)).multiply(new p(d))};p.op_Division=function(b,d){return b.divide(d)};p.prototype.ToDouble=function(){return parseFloat(this.toString())};V=function(b,d){var e;if("undefined"==typeof Object.getOwnPropertyNames)for(e in d.prototype){if("undefined"==typeof b.prototype[e]||b.prototype[e]== +Object.prototype[e])b.prototype[e]=d.prototype[e]}else for(var f=Object.getOwnPropertyNames(d.prototype),n=0;n<f.length;n++)"undefined"==typeof Object.getOwnPropertyDescriptor(b.prototype,f[n])&&Object.defineProperty(b.prototype,f[n],Object.getOwnPropertyDescriptor(d.prototype,f[n]));for(e in d)"undefined"==typeof b[e]&&(b[e]=d[e]);b.$baseCtor=d};f.Path=function(){return[]};f.Paths=function(){return[]};f.DoublePoint=function(){var b=arguments;this.Y=this.X=0;1==b.length?(this.X=b[0].X,this.Y=b[0].Y): +2==b.length&&(this.X=b[0],this.Y=b[1])};f.DoublePoint0=function(){this.Y=this.X=0};f.DoublePoint1=function(b){this.X=b.X;this.Y=b.Y};f.DoublePoint2=function(b,d){this.X=b;this.Y=d};f.PolyNode=function(){this.m_Parent=null;this.m_polygon=new f.Path;this.m_endtype=this.m_jointype=this.m_Index=0;this.m_Childs=[];this.IsOpen=!1};f.PolyNode.prototype.IsHoleNode=function(){for(var b=!0,d=this.m_Parent;null!==d;)b=!b,d=d.m_Parent;return b};f.PolyNode.prototype.ChildCount=function(){return this.m_Childs.length}; +f.PolyNode.prototype.Contour=function(){return this.m_polygon};f.PolyNode.prototype.AddChild=function(b){var d=this.m_Childs.length;this.m_Childs.push(b);b.m_Parent=this;b.m_Index=d};f.PolyNode.prototype.GetNext=function(){return 0<this.m_Childs.length?this.m_Childs[0]:this.GetNextSiblingUp()};f.PolyNode.prototype.GetNextSiblingUp=function(){return null===this.m_Parent?null:this.m_Index==this.m_Parent.m_Childs.length-1?this.m_Parent.GetNextSiblingUp():this.m_Parent.m_Childs[this.m_Index+1]};f.PolyNode.prototype.Childs= +function(){return this.m_Childs};f.PolyNode.prototype.Parent=function(){return this.m_Parent};f.PolyNode.prototype.IsHole=function(){return this.IsHoleNode()};f.PolyTree=function(){this.m_AllPolys=[];f.PolyNode.call(this)};f.PolyTree.prototype.Clear=function(){for(var b=0,d=this.m_AllPolys.length;b<d;b++)this.m_AllPolys[b]=null;this.m_AllPolys.length=0;this.m_Childs.length=0};f.PolyTree.prototype.GetFirst=function(){return 0<this.m_Childs.length?this.m_Childs[0]:null};f.PolyTree.prototype.Total=function(){var b= +this.m_AllPolys.length;0<b&&this.m_Childs[0]!=this.m_AllPolys[0]&&b--;return b};V(f.PolyTree,f.PolyNode);f.Math_Abs_Int64=f.Math_Abs_Int32=f.Math_Abs_Double=function(b){return Math.abs(b)};f.Math_Max_Int32_Int32=function(b,d){return Math.max(b,d)};f.Cast_Int32=Y||Qa||Xb?function(b){return b|0}:function(b){return~~b};f.Cast_Int64=I?function(b){return-2147483648>b||2147483647<b?0>b?Math.ceil(b):Math.floor(b):~~b}:Jb&&"function"==typeof Number.toInteger?function(b){return Number.toInteger(b)}:xb||ab? +function(b){return parseInt(b,10)}:Y?function(b){return-2147483648>b||2147483647<b?0>b?Math.ceil(b):Math.floor(b):b|0}:function(b){return 0>b?Math.ceil(b):Math.floor(b)};f.Clear=function(b){b.length=0};f.PI=3.141592653589793;f.PI2=6.283185307179586;f.IntPoint=function(){var b=arguments,d=b.length;this.Y=this.X=0;f.use_xyz?(this.Z=0,3==d?(this.X=b[0],this.Y=b[1],this.Z=b[2]):2==d?(this.X=b[0],this.Y=b[1],this.Z=0):1==d?b[0]instanceof f.DoublePoint?(b=b[0],this.X=f.Clipper.Round(b.X),this.Y=f.Clipper.Round(b.Y), +this.Z=0):(b=b[0],"undefined"==typeof b.Z&&(b.Z=0),this.X=b.X,this.Y=b.Y,this.Z=b.Z):this.Z=this.Y=this.X=0):2==d?(this.X=b[0],this.Y=b[1]):1==d?b[0]instanceof f.DoublePoint?(b=b[0],this.X=f.Clipper.Round(b.X),this.Y=f.Clipper.Round(b.Y)):(b=b[0],this.X=b.X,this.Y=b.Y):this.Y=this.X=0};f.IntPoint.op_Equality=function(b,d){return b.X==d.X&&b.Y==d.Y};f.IntPoint.op_Inequality=function(b,d){return b.X!=d.X||b.Y!=d.Y};f.use_xyz?(f.IntPoint0=function(){this.Z=this.Y=this.X=0},f.IntPoint1=function(b){this.X= +b.X;this.Y=b.Y;this.Z=b.Z},f.IntPoint1dp=function(b){this.X=f.Clipper.Round(b.X);this.Y=f.Clipper.Round(b.Y);this.Z=0},f.IntPoint2=function(b,d){this.X=b;this.Y=d;this.Z=0},f.IntPoint3=function(b,d,e){this.X=b;this.Y=d;this.Z=e}):(f.IntPoint0=function(){this.Y=this.X=0},f.IntPoint1=function(b){this.X=b.X;this.Y=b.Y},f.IntPoint1dp=function(b){this.X=f.Clipper.Round(b.X);this.Y=f.Clipper.Round(b.Y)},f.IntPoint2=function(b,d){this.X=b;this.Y=d});f.IntRect=function(){var b=arguments,d=b.length;4==d?(this.left= +b[0],this.top=b[1],this.right=b[2],this.bottom=b[3]):1==d?(this.left=b[0].left,this.top=b[0].top,this.right=b[0].right,this.bottom=b[0].bottom):this.bottom=this.right=this.top=this.left=0};f.IntRect0=function(){this.bottom=this.right=this.top=this.left=0};f.IntRect1=function(b){this.left=b.left;this.top=b.top;this.right=b.right;this.bottom=b.bottom};f.IntRect4=function(b,d,e,f){this.left=b;this.top=d;this.right=e;this.bottom=f};f.ClipType={ctIntersection:0,ctUnion:1,ctDifference:2,ctXor:3};f.PolyType= +{ptSubject:0,ptClip:1};f.PolyFillType={pftEvenOdd:0,pftNonZero:1,pftPositive:2,pftNegative:3};f.JoinType={jtSquare:0,jtRound:1,jtMiter:2};f.EndType={etOpenSquare:0,etOpenRound:1,etOpenButt:2,etClosedLine:3,etClosedPolygon:4};f.EdgeSide={esLeft:0,esRight:1};f.Direction={dRightToLeft:0,dLeftToRight:1};f.TEdge=function(){this.Bot=new f.IntPoint;this.Curr=new f.IntPoint;this.Top=new f.IntPoint;this.Delta=new f.IntPoint;this.Dx=0;this.PolyTyp=f.PolyType.ptSubject;this.Side=f.EdgeSide.esLeft;this.OutIdx= +this.WindCnt2=this.WindCnt=this.WindDelta=0;this.PrevInSEL=this.NextInSEL=this.PrevInAEL=this.NextInAEL=this.NextInLML=this.Prev=this.Next=null};f.IntersectNode=function(){this.Edge2=this.Edge1=null;this.Pt=new f.IntPoint};f.MyIntersectNodeSort=function(){};f.MyIntersectNodeSort.Compare=function(b,d){var e=d.Pt.Y-b.Pt.Y;return 0<e?1:0>e?-1:0};f.LocalMinima=function(){this.Y=0;this.Next=this.RightBound=this.LeftBound=null};f.Scanbeam=function(){this.Y=0;this.Next=null};f.OutRec=function(){this.Idx= +0;this.IsOpen=this.IsHole=!1;this.PolyNode=this.BottomPt=this.Pts=this.FirstLeft=null};f.OutPt=function(){this.Idx=0;this.Pt=new f.IntPoint;this.Prev=this.Next=null};f.Join=function(){this.OutPt2=this.OutPt1=null;this.OffPt=new f.IntPoint};f.ClipperBase=function(){this.m_CurrentLM=this.m_MinimaList=null;this.m_edges=[];this.PreserveCollinear=this.m_HasOpenPaths=this.m_UseFullRange=!1;this.m_CurrentLM=this.m_MinimaList=null;this.m_HasOpenPaths=this.m_UseFullRange=!1};f.ClipperBase.horizontal=-9007199254740992; +f.ClipperBase.Skip=-2;f.ClipperBase.Unassigned=-1;f.ClipperBase.tolerance=1E-20;f.ClipperBase.loRange=47453132;f.ClipperBase.hiRange=0xfffffffffffff;f.ClipperBase.near_zero=function(b){return b>-f.ClipperBase.tolerance&&b<f.ClipperBase.tolerance};f.ClipperBase.IsHorizontal=function(b){return 0===b.Delta.Y};f.ClipperBase.prototype.PointIsVertex=function(b,d){var e=d;do{if(f.IntPoint.op_Equality(e.Pt,b))return!0;e=e.Next}while(e!=d);return!1};f.ClipperBase.prototype.PointOnLineSegment=function(b,d, +e,f){return f?b.X==d.X&&b.Y==d.Y||b.X==e.X&&b.Y==e.Y||b.X>d.X==b.X<e.X&&b.Y>d.Y==b.Y<e.Y&&p.op_Equality(p.Int128Mul(b.X-d.X,e.Y-d.Y),p.Int128Mul(e.X-d.X,b.Y-d.Y)):b.X==d.X&&b.Y==d.Y||b.X==e.X&&b.Y==e.Y||b.X>d.X==b.X<e.X&&b.Y>d.Y==b.Y<e.Y&&(b.X-d.X)*(e.Y-d.Y)==(e.X-d.X)*(b.Y-d.Y)};f.ClipperBase.prototype.PointOnPolygon=function(b,d,e){for(var f=d;;){if(this.PointOnLineSegment(b,f.Pt,f.Next.Pt,e))return!0;f=f.Next;if(f==d)break}return!1};f.ClipperBase.prototype.SlopesEqual=f.ClipperBase.SlopesEqual= +function(){var b=arguments,d=b.length,e,q,n;if(3==d)return d=b[0],e=b[1],b[2]?p.op_Equality(p.Int128Mul(d.Delta.Y,e.Delta.X),p.Int128Mul(d.Delta.X,e.Delta.Y)):f.Cast_Int64(d.Delta.Y*e.Delta.X)==f.Cast_Int64(d.Delta.X*e.Delta.Y);if(4==d)return d=b[0],e=b[1],q=b[2],b[3]?p.op_Equality(p.Int128Mul(d.Y-e.Y,e.X-q.X),p.Int128Mul(d.X-e.X,e.Y-q.Y)):0===f.Cast_Int64((d.Y-e.Y)*(e.X-q.X))-f.Cast_Int64((d.X-e.X)*(e.Y-q.Y));d=b[0];e=b[1];q=b[2];n=b[3];return b[4]?p.op_Equality(p.Int128Mul(d.Y-e.Y,q.X-n.X),p.Int128Mul(d.X- +e.X,q.Y-n.Y)):0===f.Cast_Int64((d.Y-e.Y)*(q.X-n.X))-f.Cast_Int64((d.X-e.X)*(q.Y-n.Y))};f.ClipperBase.SlopesEqual3=function(b,d,e){return e?p.op_Equality(p.Int128Mul(b.Delta.Y,d.Delta.X),p.Int128Mul(b.Delta.X,d.Delta.Y)):f.Cast_Int64(b.Delta.Y*d.Delta.X)==f.Cast_Int64(b.Delta.X*d.Delta.Y)};f.ClipperBase.SlopesEqual4=function(b,d,e,q){return q?p.op_Equality(p.Int128Mul(b.Y-d.Y,d.X-e.X),p.Int128Mul(b.X-d.X,d.Y-e.Y)):0===f.Cast_Int64((b.Y-d.Y)*(d.X-e.X))-f.Cast_Int64((b.X-d.X)*(d.Y-e.Y))};f.ClipperBase.SlopesEqual5= +function(b,d,e,q,n){return n?p.op_Equality(p.Int128Mul(b.Y-d.Y,e.X-q.X),p.Int128Mul(b.X-d.X,e.Y-q.Y)):0===f.Cast_Int64((b.Y-d.Y)*(e.X-q.X))-f.Cast_Int64((b.X-d.X)*(e.Y-q.Y))};f.ClipperBase.prototype.Clear=function(){this.DisposeLocalMinimaList();for(var b=0,d=this.m_edges.length;b<d;++b){for(var e=0,q=this.m_edges[b].length;e<q;++e)this.m_edges[b][e]=null;f.Clear(this.m_edges[b])}f.Clear(this.m_edges);this.m_HasOpenPaths=this.m_UseFullRange=!1};f.ClipperBase.prototype.DisposeLocalMinimaList=function(){for(;null!== +this.m_MinimaList;){var b=this.m_MinimaList.Next;this.m_MinimaList=null;this.m_MinimaList=b}this.m_CurrentLM=null};f.ClipperBase.prototype.RangeTest=function(b,d){if(d.Value)(b.X>f.ClipperBase.hiRange||b.Y>f.ClipperBase.hiRange||-b.X>f.ClipperBase.hiRange||-b.Y>f.ClipperBase.hiRange)&&f.Error("Coordinate outside allowed range in RangeTest().");else if(b.X>f.ClipperBase.loRange||b.Y>f.ClipperBase.loRange||-b.X>f.ClipperBase.loRange||-b.Y>f.ClipperBase.loRange)d.Value=!0,this.RangeTest(b,d)};f.ClipperBase.prototype.InitEdge= +function(b,d,e,q){b.Next=d;b.Prev=e;b.Curr.X=q.X;b.Curr.Y=q.Y;f.use_xyz&&(b.Curr.Z=q.Z);b.OutIdx=-1};f.ClipperBase.prototype.InitEdge2=function(b,d){b.Curr.Y>=b.Next.Curr.Y?(b.Bot.X=b.Curr.X,b.Bot.Y=b.Curr.Y,f.use_xyz&&(b.Bot.Z=b.Curr.Z),b.Top.X=b.Next.Curr.X,b.Top.Y=b.Next.Curr.Y,f.use_xyz&&(b.Top.Z=b.Next.Curr.Z)):(b.Top.X=b.Curr.X,b.Top.Y=b.Curr.Y,f.use_xyz&&(b.Top.Z=b.Curr.Z),b.Bot.X=b.Next.Curr.X,b.Bot.Y=b.Next.Curr.Y,f.use_xyz&&(b.Bot.Z=b.Next.Curr.Z));this.SetDx(b);b.PolyTyp=d};f.ClipperBase.prototype.FindNextLocMin= +function(b){for(var d;;){for(;f.IntPoint.op_Inequality(b.Bot,b.Prev.Bot)||f.IntPoint.op_Equality(b.Curr,b.Top);)b=b.Next;if(b.Dx!=f.ClipperBase.horizontal&&b.Prev.Dx!=f.ClipperBase.horizontal)break;for(;b.Prev.Dx==f.ClipperBase.horizontal;)b=b.Prev;for(d=b;b.Dx==f.ClipperBase.horizontal;)b=b.Next;if(b.Top.Y!=b.Prev.Bot.Y){d.Prev.Bot.X<b.Bot.X&&(b=d);break}}return b};f.ClipperBase.prototype.ProcessBound=function(b,d){var e,q=b,n;if(q.OutIdx==f.ClipperBase.Skip){b=q;if(d){for(;b.Top.Y==b.Next.Bot.Y;)b= +b.Next;for(;b!=q&&b.Dx==f.ClipperBase.horizontal;)b=b.Prev}else{for(;b.Top.Y==b.Prev.Bot.Y;)b=b.Prev;for(;b!=q&&b.Dx==f.ClipperBase.horizontal;)b=b.Next}b==q?q=d?b.Next:b.Prev:(b=d?q.Next:q.Prev,e=new f.LocalMinima,e.Next=null,e.Y=b.Bot.Y,e.LeftBound=null,e.RightBound=b,b.WindDelta=0,q=this.ProcessBound(b,d),this.InsertLocalMinima(e));return q}b.Dx==f.ClipperBase.horizontal&&(e=d?b.Prev:b.Next,e.OutIdx!=f.ClipperBase.Skip&&(e.Dx==f.ClipperBase.horizontal?e.Bot.X!=b.Bot.X&&e.Top.X!=b.Bot.X&&this.ReverseHorizontal(b): +e.Bot.X!=b.Bot.X&&this.ReverseHorizontal(b)));e=b;if(d){for(;q.Top.Y==q.Next.Bot.Y&&q.Next.OutIdx!=f.ClipperBase.Skip;)q=q.Next;if(q.Dx==f.ClipperBase.horizontal&&q.Next.OutIdx!=f.ClipperBase.Skip){for(n=q;n.Prev.Dx==f.ClipperBase.horizontal;)n=n.Prev;n.Prev.Top.X==q.Next.Top.X?d||(q=n.Prev):n.Prev.Top.X>q.Next.Top.X&&(q=n.Prev)}for(;b!=q;)b.NextInLML=b.Next,b.Dx==f.ClipperBase.horizontal&&b!=e&&b.Bot.X!=b.Prev.Top.X&&this.ReverseHorizontal(b),b=b.Next;b.Dx==f.ClipperBase.horizontal&&b!=e&&b.Bot.X!= +b.Prev.Top.X&&this.ReverseHorizontal(b);q=q.Next}else{for(;q.Top.Y==q.Prev.Bot.Y&&q.Prev.OutIdx!=f.ClipperBase.Skip;)q=q.Prev;if(q.Dx==f.ClipperBase.horizontal&&q.Prev.OutIdx!=f.ClipperBase.Skip){for(n=q;n.Next.Dx==f.ClipperBase.horizontal;)n=n.Next;n.Next.Top.X==q.Prev.Top.X?d||(q=n.Next):n.Next.Top.X>q.Prev.Top.X&&(q=n.Next)}for(;b!=q;)b.NextInLML=b.Prev,b.Dx==f.ClipperBase.horizontal&&b!=e&&b.Bot.X!=b.Next.Top.X&&this.ReverseHorizontal(b),b=b.Prev;b.Dx==f.ClipperBase.horizontal&&b!=e&&b.Bot.X!= +b.Next.Top.X&&this.ReverseHorizontal(b);q=q.Prev}return q};f.ClipperBase.prototype.AddPath=function(b,d,e){f.use_lines?e||d!=f.PolyType.ptClip||f.Error("AddPath: Open paths must be subject."):e||f.Error("AddPath: Open paths have been disabled.");var q=b.length-1;if(e)for(;0<q&&f.IntPoint.op_Equality(b[q],b[0]);)--q;for(;0<q&&f.IntPoint.op_Equality(b[q],b[q-1]);)--q;if(e&&2>q||!e&&1>q)return!1;for(var n=[],k=0;k<=q;k++)n.push(new f.TEdge);var v=!0;n[1].Curr.X=b[1].X;n[1].Curr.Y=b[1].Y;f.use_xyz&&(n[1].Curr.Z= +b[1].Z);var C={Value:this.m_UseFullRange};this.RangeTest(b[0],C);this.m_UseFullRange=C.Value;C.Value=this.m_UseFullRange;this.RangeTest(b[q],C);this.m_UseFullRange=C.Value;this.InitEdge(n[0],n[1],n[q],b[0]);this.InitEdge(n[q],n[0],n[q-1],b[q]);for(k=q-1;1<=k;--k)C.Value=this.m_UseFullRange,this.RangeTest(b[k],C),this.m_UseFullRange=C.Value,this.InitEdge(n[k],n[k+1],n[k-1],b[k]);for(k=b=q=n[0];;)if(b.Curr!=b.Next.Curr||!e&&b.Next==q){if(b.Prev==b.Next)break;else if(e&&f.ClipperBase.SlopesEqual(b.Prev.Curr, +b.Curr,b.Next.Curr,this.m_UseFullRange)&&(!this.PreserveCollinear||!this.Pt2IsBetweenPt1AndPt3(b.Prev.Curr,b.Curr,b.Next.Curr))){b==q&&(q=b.Next);b=this.RemoveEdge(b);k=b=b.Prev;continue}b=b.Next;if(b==k||!e&&b.Next==q)break}else{if(b==b.Next)break;b==q&&(q=b.Next);k=b=this.RemoveEdge(b)}if(!e&&b==b.Next||e&&b.Prev==b.Next)return!1;e||(this.m_HasOpenPaths=!0,q.Prev.OutIdx=f.ClipperBase.Skip);b=q;do this.InitEdge2(b,d),b=b.Next,v&&b.Curr.Y!=q.Curr.Y&&(v=!1);while(b!=q);if(v){if(e)return!1;b.Prev.OutIdx= +f.ClipperBase.Skip;b.Prev.Bot.X<b.Prev.Top.X&&this.ReverseHorizontal(b.Prev);d=new f.LocalMinima;d.Next=null;d.Y=b.Bot.Y;d.LeftBound=null;d.RightBound=b;d.RightBound.Side=f.EdgeSide.esRight;for(d.RightBound.WindDelta=0;b.Next.OutIdx!=f.ClipperBase.Skip;)b.NextInLML=b.Next,b.Bot.X!=b.Prev.Top.X&&this.ReverseHorizontal(b),b=b.Next;this.InsertLocalMinima(d);this.m_edges.push(n);return!0}this.m_edges.push(n);v=null;for(f.IntPoint.op_Equality(b.Prev.Bot,b.Prev.Top)&&(b=b.Next);;){b=this.FindNextLocMin(b); +if(b==v)break;else null==v&&(v=b);d=new f.LocalMinima;d.Next=null;d.Y=b.Bot.Y;b.Dx<b.Prev.Dx?(d.LeftBound=b.Prev,d.RightBound=b,n=!1):(d.LeftBound=b,d.RightBound=b.Prev,n=!0);d.LeftBound.Side=f.EdgeSide.esLeft;d.RightBound.Side=f.EdgeSide.esRight;d.LeftBound.WindDelta=e?d.LeftBound.Next==d.RightBound?-1:1:0;d.RightBound.WindDelta=-d.LeftBound.WindDelta;b=this.ProcessBound(d.LeftBound,n);b.OutIdx==f.ClipperBase.Skip&&(b=this.ProcessBound(b,n));q=this.ProcessBound(d.RightBound,!n);q.OutIdx==f.ClipperBase.Skip&& +(q=this.ProcessBound(q,!n));d.LeftBound.OutIdx==f.ClipperBase.Skip?d.LeftBound=null:d.RightBound.OutIdx==f.ClipperBase.Skip&&(d.RightBound=null);this.InsertLocalMinima(d);n||(b=q)}return!0};f.ClipperBase.prototype.AddPaths=function(b,d,e){for(var f=!1,n=0,k=b.length;n<k;++n)this.AddPath(b[n],d,e)&&(f=!0);return f};f.ClipperBase.prototype.Pt2IsBetweenPt1AndPt3=function(b,d,e){return f.IntPoint.op_Equality(b,e)||f.IntPoint.op_Equality(b,d)||f.IntPoint.op_Equality(e,d)?!1:b.X!=e.X?d.X>b.X==d.X<e.X:d.Y> +b.Y==d.Y<e.Y};f.ClipperBase.prototype.RemoveEdge=function(b){b.Prev.Next=b.Next;b.Next.Prev=b.Prev;var d=b.Next;b.Prev=null;return d};f.ClipperBase.prototype.SetDx=function(b){b.Delta.X=b.Top.X-b.Bot.X;b.Delta.Y=b.Top.Y-b.Bot.Y;b.Dx=0===b.Delta.Y?f.ClipperBase.horizontal:b.Delta.X/b.Delta.Y};f.ClipperBase.prototype.InsertLocalMinima=function(b){if(null===this.m_MinimaList)this.m_MinimaList=b;else if(b.Y>=this.m_MinimaList.Y)b.Next=this.m_MinimaList,this.m_MinimaList=b;else{for(var d=this.m_MinimaList;null!== +d.Next&&b.Y<d.Next.Y;)d=d.Next;b.Next=d.Next;d.Next=b}};f.ClipperBase.prototype.PopLocalMinima=function(){null!==this.m_CurrentLM&&(this.m_CurrentLM=this.m_CurrentLM.Next)};f.ClipperBase.prototype.ReverseHorizontal=function(b){var d=b.Top.X;b.Top.X=b.Bot.X;b.Bot.X=d;f.use_xyz&&(d=b.Top.Z,b.Top.Z=b.Bot.Z,b.Bot.Z=d)};f.ClipperBase.prototype.Reset=function(){this.m_CurrentLM=this.m_MinimaList;if(null!=this.m_CurrentLM)for(var b=this.m_MinimaList;null!=b;){var d=b.LeftBound;null!=d&&(d.Curr.X=d.Bot.X, +d.Curr.Y=d.Bot.Y,f.use_xyz&&(d.Curr.Z=d.Bot.Z),d.Side=f.EdgeSide.esLeft,d.OutIdx=f.ClipperBase.Unassigned);d=b.RightBound;null!=d&&(d.Curr.X=d.Bot.X,d.Curr.Y=d.Bot.Y,f.use_xyz&&(d.Curr.Z=d.Bot.Z),d.Side=f.EdgeSide.esRight,d.OutIdx=f.ClipperBase.Unassigned);b=b.Next}};f.Clipper=function(b){"undefined"==typeof b&&(b=0);this.m_PolyOuts=null;this.m_ClipType=f.ClipType.ctIntersection;this.m_IntersectNodeComparer=this.m_IntersectList=this.m_SortedEdges=this.m_ActiveEdges=this.m_Scanbeam=null;this.m_ExecuteLocked= +!1;this.m_SubjFillType=this.m_ClipFillType=f.PolyFillType.pftEvenOdd;this.m_GhostJoins=this.m_Joins=null;this.StrictlySimple=this.ReverseSolution=this.m_UsingPolyTree=!1;f.ClipperBase.call(this);this.m_SortedEdges=this.m_ActiveEdges=this.m_Scanbeam=null;this.m_IntersectList=[];this.m_IntersectNodeComparer=f.MyIntersectNodeSort.Compare;this.m_UsingPolyTree=this.m_ExecuteLocked=!1;this.m_PolyOuts=[];this.m_Joins=[];this.m_GhostJoins=[];this.ReverseSolution=0!==(1&b);this.StrictlySimple=0!==(2&b);this.PreserveCollinear= +0!==(4&b);f.use_xyz&&(this.ZFillFunction=null)};f.Clipper.ioReverseSolution=1;f.Clipper.ioStrictlySimple=2;f.Clipper.ioPreserveCollinear=4;f.Clipper.prototype.Clear=function(){0!==this.m_edges.length&&(this.DisposeAllPolyPts(),f.ClipperBase.prototype.Clear.call(this))};f.Clipper.prototype.DisposeScanbeamList=function(){for(;null!==this.m_Scanbeam;){var b=this.m_Scanbeam.Next;this.m_Scanbeam=null;this.m_Scanbeam=b}};f.Clipper.prototype.Reset=function(){f.ClipperBase.prototype.Reset.call(this);this.m_SortedEdges= +this.m_ActiveEdges=this.m_Scanbeam=null;for(var b=this.m_MinimaList;null!==b;)this.InsertScanbeam(b.Y),b=b.Next};f.Clipper.prototype.InsertScanbeam=function(b){if(null===this.m_Scanbeam)this.m_Scanbeam=new f.Scanbeam,this.m_Scanbeam.Next=null,this.m_Scanbeam.Y=b;else if(b>this.m_Scanbeam.Y){var d=new f.Scanbeam;d.Y=b;d.Next=this.m_Scanbeam;this.m_Scanbeam=d}else{for(var e=this.m_Scanbeam;null!==e.Next&&b<=e.Next.Y;)e=e.Next;b!=e.Y&&(d=new f.Scanbeam,d.Y=b,d.Next=e.Next,e.Next=d)}};f.Clipper.prototype.Execute= +function(){var b=arguments,d=b.length,e=b[1]instanceof f.PolyTree;if(4!=d||e){if(4==d&&e){var d=b[0],q=b[1],e=b[2],b=b[3];if(this.m_ExecuteLocked)return!1;this.m_ExecuteLocked=!0;this.m_SubjFillType=e;this.m_ClipFillType=b;this.m_ClipType=d;this.m_UsingPolyTree=!0;try{(n=this.ExecuteInternal())&&this.BuildResult2(q)}finally{this.DisposeAllPolyPts(),this.m_ExecuteLocked=!1}return n}if(2==d&&!e||2==d&&e)return d=b[0],q=b[1],this.Execute(d,q,f.PolyFillType.pftEvenOdd,f.PolyFillType.pftEvenOdd)}else{d= +b[0];q=b[1];e=b[2];b=b[3];if(this.m_ExecuteLocked)return!1;this.m_HasOpenPaths&&f.Error("Error: PolyTree struct is need for open path clipping.");this.m_ExecuteLocked=!0;f.Clear(q);this.m_SubjFillType=e;this.m_ClipFillType=b;this.m_ClipType=d;this.m_UsingPolyTree=!1;try{var n=this.ExecuteInternal();n&&this.BuildResult(q)}finally{this.DisposeAllPolyPts(),this.m_ExecuteLocked=!1}return n}};f.Clipper.prototype.FixHoleLinkage=function(b){if(null!==b.FirstLeft&&(b.IsHole==b.FirstLeft.IsHole||null===b.FirstLeft.Pts)){for(var d= +b.FirstLeft;null!==d&&(d.IsHole==b.IsHole||null===d.Pts);)d=d.FirstLeft;b.FirstLeft=d}};f.Clipper.prototype.ExecuteInternal=function(){try{this.Reset();if(null===this.m_CurrentLM)return!1;var b=this.PopScanbeam();do{this.InsertLocalMinimaIntoAEL(b);f.Clear(this.m_GhostJoins);this.ProcessHorizontals(!1);if(null===this.m_Scanbeam)break;var d=this.PopScanbeam();if(!this.ProcessIntersections(d))return!1;this.ProcessEdgesAtTopOfScanbeam(d);b=d}while(null!==this.m_Scanbeam||null!==this.m_CurrentLM);for(var b= +0,e=this.m_PolyOuts.length;b<e;b++){var q=this.m_PolyOuts[b];null===q.Pts||q.IsOpen||(q.IsHole^this.ReverseSolution)==0<this.Area(q)&&this.ReversePolyPtLinks(q.Pts)}this.JoinCommonEdges();b=0;for(e=this.m_PolyOuts.length;b<e;b++)q=this.m_PolyOuts[b],null===q.Pts||q.IsOpen||this.FixupOutPolygon(q);this.StrictlySimple&&this.DoSimplePolygons();return!0}finally{f.Clear(this.m_Joins),f.Clear(this.m_GhostJoins)}};f.Clipper.prototype.PopScanbeam=function(){var b=this.m_Scanbeam.Y;this.m_Scanbeam=this.m_Scanbeam.Next; +return b};f.Clipper.prototype.DisposeAllPolyPts=function(){for(var b=0,d=this.m_PolyOuts.length;b<d;++b)this.DisposeOutRec(b);f.Clear(this.m_PolyOuts)};f.Clipper.prototype.DisposeOutRec=function(b){this.m_PolyOuts[b].Pts=null;this.m_PolyOuts[b]=null};f.Clipper.prototype.AddJoin=function(b,d,e){var q=new f.Join;q.OutPt1=b;q.OutPt2=d;q.OffPt.X=e.X;q.OffPt.Y=e.Y;f.use_xyz&&(q.OffPt.Z=e.Z);this.m_Joins.push(q)};f.Clipper.prototype.AddGhostJoin=function(b,d){var e=new f.Join;e.OutPt1=b;e.OffPt.X=d.X;e.OffPt.Y= +d.Y;f.use_xyz&&(e.OffPt.Z=d.Z);this.m_GhostJoins.push(e)};f.Clipper.prototype.SetZ=function(b,d,e){null!==this.ZFillFunction&&0==b.Z&&null!==this.ZFillFunction&&(f.IntPoint.op_Equality(b,d.Bot)?b.Z=d.Bot.Z:f.IntPoint.op_Equality(b,d.Top)?b.Z=d.Top.Z:f.IntPoint.op_Equality(b,e.Bot)?b.Z=e.Bot.Z:f.IntPoint.op_Equality(b,e.Top)?b.Z=e.Top.Z:this.ZFillFunction(d.Bot,d.Top,e.Bot,e.Top,b))};f.Clipper.prototype.InsertLocalMinimaIntoAEL=function(b){for(;null!==this.m_CurrentLM&&this.m_CurrentLM.Y==b;){var d= +this.m_CurrentLM.LeftBound,e=this.m_CurrentLM.RightBound;this.PopLocalMinima();var q=null;null===d?(this.InsertEdgeIntoAEL(e,null),this.SetWindingCount(e),this.IsContributing(e)&&(q=this.AddOutPt(e,e.Bot))):(null==e?(this.InsertEdgeIntoAEL(d,null),this.SetWindingCount(d),this.IsContributing(d)&&(q=this.AddOutPt(d,d.Bot))):(this.InsertEdgeIntoAEL(d,null),this.InsertEdgeIntoAEL(e,d),this.SetWindingCount(d),e.WindCnt=d.WindCnt,e.WindCnt2=d.WindCnt2,this.IsContributing(d)&&(q=this.AddLocalMinPoly(d,e, +d.Bot))),this.InsertScanbeam(d.Top.Y));null!=e&&(f.ClipperBase.IsHorizontal(e)?this.AddEdgeToSEL(e):this.InsertScanbeam(e.Top.Y));if(null!=d&&null!=e){if(null!==q&&f.ClipperBase.IsHorizontal(e)&&0<this.m_GhostJoins.length&&0!==e.WindDelta)for(var n=0,k=this.m_GhostJoins.length;n<k;n++){var v=this.m_GhostJoins[n];this.HorzSegmentsOverlap(v.OutPt1.Pt.X,v.OffPt.X,e.Bot.X,e.Top.X)&&this.AddJoin(v.OutPt1,q,v.OffPt)}0<=d.OutIdx&&null!==d.PrevInAEL&&d.PrevInAEL.Curr.X==d.Bot.X&&0<=d.PrevInAEL.OutIdx&&f.ClipperBase.SlopesEqual(d.PrevInAEL, +d,this.m_UseFullRange)&&0!==d.WindDelta&&0!==d.PrevInAEL.WindDelta&&(n=this.AddOutPt(d.PrevInAEL,d.Bot),this.AddJoin(q,n,d.Top));if(d.NextInAEL!=e&&(0<=e.OutIdx&&0<=e.PrevInAEL.OutIdx&&f.ClipperBase.SlopesEqual(e.PrevInAEL,e,this.m_UseFullRange)&&0!==e.WindDelta&&0!==e.PrevInAEL.WindDelta&&(n=this.AddOutPt(e.PrevInAEL,e.Bot),this.AddJoin(q,n,e.Top)),q=d.NextInAEL,null!==q))for(;q!=e;)this.IntersectEdges(e,q,d.Curr,!1),q=q.NextInAEL}}};f.Clipper.prototype.InsertEdgeIntoAEL=function(b,d){if(null=== +this.m_ActiveEdges)b.PrevInAEL=null,b.NextInAEL=null,this.m_ActiveEdges=b;else if(null===d&&this.E2InsertsBeforeE1(this.m_ActiveEdges,b))b.PrevInAEL=null,b.NextInAEL=this.m_ActiveEdges,this.m_ActiveEdges=this.m_ActiveEdges.PrevInAEL=b;else{for(null===d&&(d=this.m_ActiveEdges);null!==d.NextInAEL&&!this.E2InsertsBeforeE1(d.NextInAEL,b);)d=d.NextInAEL;b.NextInAEL=d.NextInAEL;null!==d.NextInAEL&&(d.NextInAEL.PrevInAEL=b);b.PrevInAEL=d;d.NextInAEL=b}};f.Clipper.prototype.E2InsertsBeforeE1=function(b,d){return d.Curr.X== +b.Curr.X?d.Top.Y>b.Top.Y?d.Top.X<f.Clipper.TopX(b,d.Top.Y):b.Top.X>f.Clipper.TopX(d,b.Top.Y):d.Curr.X<b.Curr.X};f.Clipper.prototype.IsEvenOddFillType=function(b){return b.PolyTyp==f.PolyType.ptSubject?this.m_SubjFillType==f.PolyFillType.pftEvenOdd:this.m_ClipFillType==f.PolyFillType.pftEvenOdd};f.Clipper.prototype.IsEvenOddAltFillType=function(b){return b.PolyTyp==f.PolyType.ptSubject?this.m_ClipFillType==f.PolyFillType.pftEvenOdd:this.m_SubjFillType==f.PolyFillType.pftEvenOdd};f.Clipper.prototype.IsContributing= +function(b){var d,e;b.PolyTyp==f.PolyType.ptSubject?(d=this.m_SubjFillType,e=this.m_ClipFillType):(d=this.m_ClipFillType,e=this.m_SubjFillType);switch(d){case f.PolyFillType.pftEvenOdd:if(0===b.WindDelta&&1!=b.WindCnt)return!1;break;case f.PolyFillType.pftNonZero:if(1!=Math.abs(b.WindCnt))return!1;break;case f.PolyFillType.pftPositive:if(1!=b.WindCnt)return!1;break;default:if(-1!=b.WindCnt)return!1}switch(this.m_ClipType){case f.ClipType.ctIntersection:switch(e){case f.PolyFillType.pftEvenOdd:case f.PolyFillType.pftNonZero:return 0!== +b.WindCnt2;case f.PolyFillType.pftPositive:return 0<b.WindCnt2;default:return 0>b.WindCnt2}case f.ClipType.ctUnion:switch(e){case f.PolyFillType.pftEvenOdd:case f.PolyFillType.pftNonZero:return 0===b.WindCnt2;case f.PolyFillType.pftPositive:return 0>=b.WindCnt2;default:return 0<=b.WindCnt2}case f.ClipType.ctDifference:if(b.PolyTyp==f.PolyType.ptSubject)switch(e){case f.PolyFillType.pftEvenOdd:case f.PolyFillType.pftNonZero:return 0===b.WindCnt2;case f.PolyFillType.pftPositive:return 0>=b.WindCnt2; +default:return 0<=b.WindCnt2}else switch(e){case f.PolyFillType.pftEvenOdd:case f.PolyFillType.pftNonZero:return 0!==b.WindCnt2;case f.PolyFillType.pftPositive:return 0<b.WindCnt2;default:return 0>b.WindCnt2}case f.ClipType.ctXor:if(0===b.WindDelta)switch(e){case f.PolyFillType.pftEvenOdd:case f.PolyFillType.pftNonZero:return 0===b.WindCnt2;case f.PolyFillType.pftPositive:return 0>=b.WindCnt2;default:return 0<=b.WindCnt2}}return!0};f.Clipper.prototype.SetWindingCount=function(b){for(var d=b.PrevInAEL;null!== +d&&(d.PolyTyp!=b.PolyTyp||0===d.WindDelta);)d=d.PrevInAEL;if(null===d)b.WindCnt=0===b.WindDelta?1:b.WindDelta,b.WindCnt2=0,d=this.m_ActiveEdges;else{if(0===b.WindDelta&&this.m_ClipType!=f.ClipType.ctUnion)b.WindCnt=1;else if(this.IsEvenOddFillType(b))if(0===b.WindDelta){for(var e=!0,q=d.PrevInAEL;null!==q;)q.PolyTyp==d.PolyTyp&&0!==q.WindDelta&&(e=!e),q=q.PrevInAEL;b.WindCnt=e?0:1}else b.WindCnt=b.WindDelta;else b.WindCnt=0>d.WindCnt*d.WindDelta?1<Math.abs(d.WindCnt)?0>d.WindDelta*b.WindDelta?d.WindCnt: +d.WindCnt+b.WindDelta:0===b.WindDelta?1:b.WindDelta:0===b.WindDelta?0>d.WindCnt?d.WindCnt-1:d.WindCnt+1:0>d.WindDelta*b.WindDelta?d.WindCnt:d.WindCnt+b.WindDelta;b.WindCnt2=d.WindCnt2;d=d.NextInAEL}if(this.IsEvenOddAltFillType(b))for(;d!=b;)0!==d.WindDelta&&(b.WindCnt2=0===b.WindCnt2?1:0),d=d.NextInAEL;else for(;d!=b;)b.WindCnt2+=d.WindDelta,d=d.NextInAEL};f.Clipper.prototype.AddEdgeToSEL=function(b){null===this.m_SortedEdges?(this.m_SortedEdges=b,b.PrevInSEL=null,b.NextInSEL=null):(b.NextInSEL=this.m_SortedEdges, +b.PrevInSEL=null,this.m_SortedEdges=this.m_SortedEdges.PrevInSEL=b)};f.Clipper.prototype.CopyAELToSEL=function(){var b=this.m_ActiveEdges;for(this.m_SortedEdges=b;null!==b;)b.PrevInSEL=b.PrevInAEL,b=b.NextInSEL=b.NextInAEL};f.Clipper.prototype.SwapPositionsInAEL=function(b,d){if(b.NextInAEL!=b.PrevInAEL&&d.NextInAEL!=d.PrevInAEL){if(b.NextInAEL==d){var e=d.NextInAEL;null!==e&&(e.PrevInAEL=b);var f=b.PrevInAEL;null!==f&&(f.NextInAEL=d);d.PrevInAEL=f;d.NextInAEL=b;b.PrevInAEL=d;b.NextInAEL=e}else d.NextInAEL== +b?(e=b.NextInAEL,null!==e&&(e.PrevInAEL=d),f=d.PrevInAEL,null!==f&&(f.NextInAEL=b),b.PrevInAEL=f,b.NextInAEL=d,d.PrevInAEL=b,d.NextInAEL=e):(e=b.NextInAEL,f=b.PrevInAEL,b.NextInAEL=d.NextInAEL,null!==b.NextInAEL&&(b.NextInAEL.PrevInAEL=b),b.PrevInAEL=d.PrevInAEL,null!==b.PrevInAEL&&(b.PrevInAEL.NextInAEL=b),d.NextInAEL=e,null!==d.NextInAEL&&(d.NextInAEL.PrevInAEL=d),d.PrevInAEL=f,null!==d.PrevInAEL&&(d.PrevInAEL.NextInAEL=d));null===b.PrevInAEL?this.m_ActiveEdges=b:null===d.PrevInAEL&&(this.m_ActiveEdges= +d)}};f.Clipper.prototype.SwapPositionsInSEL=function(b,d){if(null!==b.NextInSEL||null!==b.PrevInSEL)if(null!==d.NextInSEL||null!==d.PrevInSEL){if(b.NextInSEL==d){var e=d.NextInSEL;null!==e&&(e.PrevInSEL=b);var f=b.PrevInSEL;null!==f&&(f.NextInSEL=d);d.PrevInSEL=f;d.NextInSEL=b;b.PrevInSEL=d;b.NextInSEL=e}else d.NextInSEL==b?(e=b.NextInSEL,null!==e&&(e.PrevInSEL=d),f=d.PrevInSEL,null!==f&&(f.NextInSEL=b),b.PrevInSEL=f,b.NextInSEL=d,d.PrevInSEL=b,d.NextInSEL=e):(e=b.NextInSEL,f=b.PrevInSEL,b.NextInSEL= +d.NextInSEL,null!==b.NextInSEL&&(b.NextInSEL.PrevInSEL=b),b.PrevInSEL=d.PrevInSEL,null!==b.PrevInSEL&&(b.PrevInSEL.NextInSEL=b),d.NextInSEL=e,null!==d.NextInSEL&&(d.NextInSEL.PrevInSEL=d),d.PrevInSEL=f,null!==d.PrevInSEL&&(d.PrevInSEL.NextInSEL=d));null===b.PrevInSEL?this.m_SortedEdges=b:null===d.PrevInSEL&&(this.m_SortedEdges=d)}};f.Clipper.prototype.AddLocalMaxPoly=function(b,d,e){this.AddOutPt(b,e);0==d.WindDelta&&this.AddOutPt(d,e);b.OutIdx==d.OutIdx?(b.OutIdx=-1,d.OutIdx=-1):b.OutIdx<d.OutIdx? +this.AppendPolygon(b,d):this.AppendPolygon(d,b)};f.Clipper.prototype.AddLocalMinPoly=function(b,d,e){var q,n;f.ClipperBase.IsHorizontal(d)||b.Dx>d.Dx?(q=this.AddOutPt(b,e),d.OutIdx=b.OutIdx,b.Side=f.EdgeSide.esLeft,d.Side=f.EdgeSide.esRight,n=b,b=n.PrevInAEL==d?d.PrevInAEL:n.PrevInAEL):(q=this.AddOutPt(d,e),b.OutIdx=d.OutIdx,b.Side=f.EdgeSide.esRight,d.Side=f.EdgeSide.esLeft,n=d,b=n.PrevInAEL==b?b.PrevInAEL:n.PrevInAEL);null!==b&&0<=b.OutIdx&&f.Clipper.TopX(b,e.Y)==f.Clipper.TopX(n,e.Y)&&f.ClipperBase.SlopesEqual(n, +b,this.m_UseFullRange)&&0!==n.WindDelta&&0!==b.WindDelta&&(e=this.AddOutPt(b,e),this.AddJoin(q,e,n.Top));return q};f.Clipper.prototype.CreateOutRec=function(){var b=new f.OutRec;b.Idx=-1;b.IsHole=!1;b.IsOpen=!1;b.FirstLeft=null;b.Pts=null;b.BottomPt=null;b.PolyNode=null;this.m_PolyOuts.push(b);b.Idx=this.m_PolyOuts.length-1;return b};f.Clipper.prototype.AddOutPt=function(b,d){var e=b.Side==f.EdgeSide.esLeft;if(0>b.OutIdx){var q=this.CreateOutRec();q.IsOpen=0===b.WindDelta;var n=new f.OutPt;q.Pts= +n;n.Idx=q.Idx;n.Pt.X=d.X;n.Pt.Y=d.Y;f.use_xyz&&(n.Pt.Z=d.Z);n.Next=n;n.Prev=n;q.IsOpen||this.SetHoleState(b,q);b.OutIdx=q.Idx}else{var q=this.m_PolyOuts[b.OutIdx],k=q.Pts;if(e&&f.IntPoint.op_Equality(d,k.Pt))return k;if(!e&&f.IntPoint.op_Equality(d,k.Prev.Pt))return k.Prev;n=new f.OutPt;n.Idx=q.Idx;n.Pt.X=d.X;n.Pt.Y=d.Y;f.use_xyz&&(n.Pt.Z=d.Z);n.Next=k;n.Prev=k.Prev;n.Prev.Next=n;k.Prev=n;e&&(q.Pts=n)}return n};f.Clipper.prototype.SwapPoints=function(b,d){var e=new f.IntPoint(b.Value);b.Value.X=d.Value.X; +b.Value.Y=d.Value.Y;f.use_xyz&&(b.Value.Z=d.Value.Z);d.Value.X=e.X;d.Value.Y=e.Y;f.use_xyz&&(d.Value.Z=e.Z)};f.Clipper.prototype.HorzSegmentsOverlap=function(b,d,e,f){var n;b>d&&(n=b,b=d,d=n);e>f&&(n=e,e=f,f=n);return b<f&&e<d};f.Clipper.prototype.SetHoleState=function(b,d){for(var e=!1,f=b.PrevInAEL;null!==f;)0<=f.OutIdx&&0!=f.WindDelta&&(e=!e,null===d.FirstLeft&&(d.FirstLeft=this.m_PolyOuts[f.OutIdx])),f=f.PrevInAEL;e&&(d.IsHole=!0)};f.Clipper.prototype.GetDx=function(b,d){return b.Y==d.Y?f.ClipperBase.horizontal: +(d.X-b.X)/(d.Y-b.Y)};f.Clipper.prototype.FirstIsBottomPt=function(b,d){for(var e=b.Prev;f.IntPoint.op_Equality(e.Pt,b.Pt)&&e!=b;)e=e.Prev;for(var q=Math.abs(this.GetDx(b.Pt,e.Pt)),e=b.Next;f.IntPoint.op_Equality(e.Pt,b.Pt)&&e!=b;)e=e.Next;for(var n=Math.abs(this.GetDx(b.Pt,e.Pt)),e=d.Prev;f.IntPoint.op_Equality(e.Pt,d.Pt)&&e!=d;)e=e.Prev;for(var k=Math.abs(this.GetDx(d.Pt,e.Pt)),e=d.Next;f.IntPoint.op_Equality(e.Pt,d.Pt)&&e!=d;)e=e.Next;e=Math.abs(this.GetDx(d.Pt,e.Pt));return q>=k&&q>=e||n>=k&&n>= +e};f.Clipper.prototype.GetBottomPt=function(b){for(var d=null,e=b.Next;e!=b;)e.Pt.Y>b.Pt.Y?(b=e,d=null):e.Pt.Y==b.Pt.Y&&e.Pt.X<=b.Pt.X&&(e.Pt.X<b.Pt.X?(d=null,b=e):e.Next!=b&&e.Prev!=b&&(d=e)),e=e.Next;if(null!==d)for(;d!=e;)for(this.FirstIsBottomPt(e,d)||(b=d),d=d.Next;f.IntPoint.op_Inequality(d.Pt,b.Pt);)d=d.Next;return b};f.Clipper.prototype.GetLowermostRec=function(b,d){null===b.BottomPt&&(b.BottomPt=this.GetBottomPt(b.Pts));null===d.BottomPt&&(d.BottomPt=this.GetBottomPt(d.Pts));var e=b.BottomPt, +f=d.BottomPt;return e.Pt.Y>f.Pt.Y?b:e.Pt.Y<f.Pt.Y?d:e.Pt.X<f.Pt.X?b:e.Pt.X>f.Pt.X?d:e.Next==e?d:f.Next==f?b:this.FirstIsBottomPt(e,f)?b:d};f.Clipper.prototype.Param1RightOfParam2=function(b,d){do if(b=b.FirstLeft,b==d)return!0;while(null!==b);return!1};f.Clipper.prototype.GetOutRec=function(b){for(b=this.m_PolyOuts[b];b!=this.m_PolyOuts[b.Idx];)b=this.m_PolyOuts[b.Idx];return b};f.Clipper.prototype.AppendPolygon=function(b,d){var e=this.m_PolyOuts[b.OutIdx],q=this.m_PolyOuts[d.OutIdx],n;n=this.Param1RightOfParam2(e, +q)?q:this.Param1RightOfParam2(q,e)?e:this.GetLowermostRec(e,q);var k=e.Pts,v=k.Prev,C=q.Pts,p=C.Prev;b.Side==f.EdgeSide.esLeft?(d.Side==f.EdgeSide.esLeft?(this.ReversePolyPtLinks(C),C.Next=k,k.Prev=C,v.Next=p,p.Prev=v,e.Pts=p):(p.Next=k,k.Prev=p,C.Prev=v,v.Next=C,e.Pts=C),k=f.EdgeSide.esLeft):(d.Side==f.EdgeSide.esRight?(this.ReversePolyPtLinks(C),v.Next=p,p.Prev=v,C.Next=k,k.Prev=C):(v.Next=C,C.Prev=v,k.Prev=p,p.Next=k),k=f.EdgeSide.esRight);e.BottomPt=null;n==q&&(q.FirstLeft!=e&&(e.FirstLeft=q.FirstLeft), +e.IsHole=q.IsHole);q.Pts=null;q.BottomPt=null;q.FirstLeft=e;n=b.OutIdx;v=d.OutIdx;b.OutIdx=-1;d.OutIdx=-1;for(C=this.m_ActiveEdges;null!==C;){if(C.OutIdx==v){C.OutIdx=n;C.Side=k;break}C=C.NextInAEL}q.Idx=e.Idx};f.Clipper.prototype.ReversePolyPtLinks=function(b){if(null!==b){var d,e;d=b;do e=d.Next,d.Next=d.Prev,d=d.Prev=e;while(d!=b)}};f.Clipper.SwapSides=function(b,d){var e=b.Side;b.Side=d.Side;d.Side=e};f.Clipper.SwapPolyIndexes=function(b,d){var e=b.OutIdx;b.OutIdx=d.OutIdx;d.OutIdx=e};f.Clipper.prototype.IntersectEdges= +function(b,d,e){var q=0<=b.OutIdx,n=0<=d.OutIdx;f.use_xyz&&this.SetZ(e,b,d);if(!f.use_lines||0!==b.WindDelta&&0!==d.WindDelta){if(b.PolyTyp==d.PolyTyp)if(this.IsEvenOddFillType(b)){var k=b.WindCnt;b.WindCnt=d.WindCnt;d.WindCnt=k}else b.WindCnt=0===b.WindCnt+d.WindDelta?-b.WindCnt:b.WindCnt+d.WindDelta,d.WindCnt=0===d.WindCnt-b.WindDelta?-d.WindCnt:d.WindCnt-b.WindDelta;else this.IsEvenOddFillType(d)?b.WindCnt2=0===b.WindCnt2?1:0:b.WindCnt2+=d.WindDelta,this.IsEvenOddFillType(b)?d.WindCnt2=0===d.WindCnt2? +1:0:d.WindCnt2-=b.WindDelta;var v,C,p;b.PolyTyp==f.PolyType.ptSubject?(v=this.m_SubjFillType,p=this.m_ClipFillType):(v=this.m_ClipFillType,p=this.m_SubjFillType);d.PolyTyp==f.PolyType.ptSubject?(C=this.m_SubjFillType,k=this.m_ClipFillType):(C=this.m_ClipFillType,k=this.m_SubjFillType);switch(v){case f.PolyFillType.pftPositive:v=b.WindCnt;break;case f.PolyFillType.pftNegative:v=-b.WindCnt;break;default:v=Math.abs(b.WindCnt)}switch(C){case f.PolyFillType.pftPositive:C=d.WindCnt;break;case f.PolyFillType.pftNegative:C= +-d.WindCnt;break;default:C=Math.abs(d.WindCnt)}if(q&&n)0!=v&&1!=v||0!=C&&1!=C||b.PolyTyp!=d.PolyTyp&&this.m_ClipType!=f.ClipType.ctXor?this.AddLocalMaxPoly(b,d,e):(this.AddOutPt(b,e),this.AddOutPt(d,e),f.Clipper.SwapSides(b,d),f.Clipper.SwapPolyIndexes(b,d));else if(q){if(0===C||1==C)this.AddOutPt(b,e),f.Clipper.SwapSides(b,d),f.Clipper.SwapPolyIndexes(b,d)}else if(n){if(0===v||1==v)this.AddOutPt(d,e),f.Clipper.SwapSides(b,d),f.Clipper.SwapPolyIndexes(b,d)}else if(!(0!=v&&1!=v||0!=C&&1!=C)){switch(p){case f.PolyFillType.pftPositive:q= +b.WindCnt2;break;case f.PolyFillType.pftNegative:q=-b.WindCnt2;break;default:q=Math.abs(b.WindCnt2)}switch(k){case f.PolyFillType.pftPositive:n=d.WindCnt2;break;case f.PolyFillType.pftNegative:n=-d.WindCnt2;break;default:n=Math.abs(d.WindCnt2)}if(b.PolyTyp!=d.PolyTyp)this.AddLocalMinPoly(b,d,e);else if(1==v&&1==C)switch(this.m_ClipType){case f.ClipType.ctIntersection:0<q&&0<n&&this.AddLocalMinPoly(b,d,e);break;case f.ClipType.ctUnion:0>=q&&0>=n&&this.AddLocalMinPoly(b,d,e);break;case f.ClipType.ctDifference:(b.PolyTyp== +f.PolyType.ptClip&&0<q&&0<n||b.PolyTyp==f.PolyType.ptSubject&&0>=q&&0>=n)&&this.AddLocalMinPoly(b,d,e);break;case f.ClipType.ctXor:this.AddLocalMinPoly(b,d,e)}else f.Clipper.SwapSides(b,d)}}else if(0!=b.WindDelta||0!=d.WindDelta)b.PolyTyp==d.PolyTyp&&b.WindDelta!=d.WindDelta&&this.m_ClipType==f.ClipType.ctUnion?0===b.WindDelta?n&&(this.AddOutPt(b,e),q&&(b.OutIdx=-1)):q&&(this.AddOutPt(d,e),n&&(d.OutIdx=-1)):b.PolyTyp!=d.PolyTyp&&(0!==b.WindDelta||1!=Math.abs(d.WindCnt)||this.m_ClipType==f.ClipType.ctUnion&& +0!==d.WindCnt2?0!==d.WindDelta||1!=Math.abs(b.WindCnt)||this.m_ClipType==f.ClipType.ctUnion&&0!==b.WindCnt2||(this.AddOutPt(d,e),n&&(d.OutIdx=-1)):(this.AddOutPt(b,e),q&&(b.OutIdx=-1)))};f.Clipper.prototype.DeleteFromAEL=function(b){var d=b.PrevInAEL,e=b.NextInAEL;if(null!==d||null!==e||b==this.m_ActiveEdges)null!==d?d.NextInAEL=e:this.m_ActiveEdges=e,null!==e&&(e.PrevInAEL=d),b.NextInAEL=null,b.PrevInAEL=null};f.Clipper.prototype.DeleteFromSEL=function(b){var d=b.PrevInSEL,e=b.NextInSEL;if(null!== +d||null!==e||b==this.m_SortedEdges)null!==d?d.NextInSEL=e:this.m_SortedEdges=e,null!==e&&(e.PrevInSEL=d),b.NextInSEL=null,b.PrevInSEL=null};f.Clipper.prototype.UpdateEdgeIntoAEL=function(b){null===b.NextInLML&&f.Error("UpdateEdgeIntoAEL: invalid call");var d=b.PrevInAEL,e=b.NextInAEL;b.NextInLML.OutIdx=b.OutIdx;null!==d?d.NextInAEL=b.NextInLML:this.m_ActiveEdges=b.NextInLML;null!==e&&(e.PrevInAEL=b.NextInLML);b.NextInLML.Side=b.Side;b.NextInLML.WindDelta=b.WindDelta;b.NextInLML.WindCnt=b.WindCnt; +b.NextInLML.WindCnt2=b.WindCnt2;b=b.NextInLML;b.Curr.X=b.Bot.X;b.Curr.Y=b.Bot.Y;f.use_xyz&&(b.Curr.Z=b.Bot.Z);b.PrevInAEL=d;b.NextInAEL=e;f.ClipperBase.IsHorizontal(b)||this.InsertScanbeam(b.Top.Y);return b};f.Clipper.prototype.ProcessHorizontals=function(b){for(var d=this.m_SortedEdges;null!==d;)this.DeleteFromSEL(d),this.ProcessHorizontal(d,b),d=this.m_SortedEdges};f.Clipper.prototype.GetHorzDirection=function(b,d){b.Bot.X<b.Top.X?(d.Left=b.Bot.X,d.Right=b.Top.X,d.Dir=f.Direction.dLeftToRight): +(d.Left=b.Top.X,d.Right=b.Bot.X,d.Dir=f.Direction.dRightToLeft)};f.Clipper.prototype.ProcessHorizontal=function(b,d){var e={Dir:null,Left:null,Right:null};this.GetHorzDirection(b,e);for(var q=e.Dir,n=e.Left,k=e.Right,v=b,C=null;null!==v.NextInLML&&f.ClipperBase.IsHorizontal(v.NextInLML);)v=v.NextInLML;for(null===v.NextInLML&&(C=this.GetMaximaPair(v));;){for(var p=b==v,F=this.GetNextInAEL(b,q);null!==F&&!(F.Curr.X==b.Top.X&&null!==b.NextInLML&&F.Dx<b.NextInLML.Dx);){e=this.GetNextInAEL(F,q);if(q== +f.Direction.dLeftToRight&&F.Curr.X<=k||q==f.Direction.dRightToLeft&&F.Curr.X>=n){if(F==C&&p){if(0<=b.OutIdx){q=this.AddOutPt(b,b.Top);for(e=this.m_SortedEdges;null!==e;)0<=e.OutIdx&&this.HorzSegmentsOverlap(b.Bot.X,b.Top.X,e.Bot.X,e.Top.X)&&(n=this.AddOutPt(e,e.Bot),this.AddJoin(n,q,e.Top)),e=e.NextInSEL;this.AddGhostJoin(q,b.Bot);this.AddLocalMaxPoly(b,C,b.Top)}this.DeleteFromAEL(b);this.DeleteFromAEL(C);return}if(q==f.Direction.dLeftToRight){var E=new f.IntPoint(F.Curr.X,b.Curr.Y);this.IntersectEdges(b, +F,E)}else E=new f.IntPoint(F.Curr.X,b.Curr.Y),this.IntersectEdges(F,b,E);this.SwapPositionsInAEL(b,F)}else if(q==f.Direction.dLeftToRight&&F.Curr.X>=k||q==f.Direction.dRightToLeft&&F.Curr.X<=n)break;F=e}if(null!==b.NextInLML&&f.ClipperBase.IsHorizontal(b.NextInLML))b=this.UpdateEdgeIntoAEL(b),0<=b.OutIdx&&this.AddOutPt(b,b.Bot),e={Dir:q,Left:n,Right:k},this.GetHorzDirection(b,e),q=e.Dir,n=e.Left,k=e.Right;else break}null!==b.NextInLML?0<=b.OutIdx?(q=this.AddOutPt(b,b.Top),d&&this.AddGhostJoin(q,b.Bot), +b=this.UpdateEdgeIntoAEL(b),0!==b.WindDelta&&(C=b.PrevInAEL,e=b.NextInAEL,null!==C&&C.Curr.X==b.Bot.X&&C.Curr.Y==b.Bot.Y&&0!==C.WindDelta&&0<=C.OutIdx&&C.Curr.Y>C.Top.Y&&f.ClipperBase.SlopesEqual(b,C,this.m_UseFullRange)?(n=this.AddOutPt(C,b.Bot),this.AddJoin(q,n,b.Top)):null!==e&&e.Curr.X==b.Bot.X&&e.Curr.Y==b.Bot.Y&&0!==e.WindDelta&&0<=e.OutIdx&&e.Curr.Y>e.Top.Y&&f.ClipperBase.SlopesEqual(b,e,this.m_UseFullRange)&&(n=this.AddOutPt(e,b.Bot),this.AddJoin(q,n,b.Top)))):this.UpdateEdgeIntoAEL(b):(0<= +b.OutIdx&&this.AddOutPt(b,b.Top),this.DeleteFromAEL(b))};f.Clipper.prototype.GetNextInAEL=function(b,d){return d==f.Direction.dLeftToRight?b.NextInAEL:b.PrevInAEL};f.Clipper.prototype.IsMinima=function(b){return null!==b&&b.Prev.NextInLML!=b&&b.Next.NextInLML!=b};f.Clipper.prototype.IsMaxima=function(b,d){return null!==b&&b.Top.Y==d&&null===b.NextInLML};f.Clipper.prototype.IsIntermediate=function(b,d){return b.Top.Y==d&&null!==b.NextInLML};f.Clipper.prototype.GetMaximaPair=function(b){var d=null; +f.IntPoint.op_Equality(b.Next.Top,b.Top)&&null===b.Next.NextInLML?d=b.Next:f.IntPoint.op_Equality(b.Prev.Top,b.Top)&&null===b.Prev.NextInLML&&(d=b.Prev);return null===d||-2!=d.OutIdx&&(d.NextInAEL!=d.PrevInAEL||f.ClipperBase.IsHorizontal(d))?d:null};f.Clipper.prototype.ProcessIntersections=function(b){if(null==this.m_ActiveEdges)return!0;try{this.BuildIntersectList(b);if(0==this.m_IntersectList.length)return!0;if(1==this.m_IntersectList.length||this.FixupIntersectionOrder())this.ProcessIntersectList(); +else return!1}catch(d){this.m_SortedEdges=null,this.m_IntersectList.length=0,f.Error("ProcessIntersections error")}this.m_SortedEdges=null;return!0};f.Clipper.prototype.BuildIntersectList=function(b){if(null!==this.m_ActiveEdges){var d=this.m_ActiveEdges;for(this.m_SortedEdges=d;null!==d;)d.PrevInSEL=d.PrevInAEL,d.NextInSEL=d.NextInAEL,d.Curr.X=f.Clipper.TopX(d,b),d=d.NextInAEL;for(var e=!0;e&&null!==this.m_SortedEdges;){e=!1;for(d=this.m_SortedEdges;null!==d.NextInSEL;){b=d.NextInSEL;var q=new f.IntPoint; +d.Curr.X>b.Curr.X?(this.IntersectPoint(d,b,q),e=new f.IntersectNode,e.Edge1=d,e.Edge2=b,e.Pt.X=q.X,e.Pt.Y=q.Y,f.use_xyz&&(e.Pt.Z=q.Z),this.m_IntersectList.push(e),this.SwapPositionsInSEL(d,b),e=!0):d=b}if(null!==d.PrevInSEL)d.PrevInSEL.NextInSEL=null;else break}this.m_SortedEdges=null}};f.Clipper.prototype.EdgesAdjacent=function(b){return b.Edge1.NextInSEL==b.Edge2||b.Edge1.PrevInSEL==b.Edge2};f.Clipper.IntersectNodeSort=function(b,d){return d.Pt.Y-b.Pt.Y};f.Clipper.prototype.FixupIntersectionOrder= +function(){this.m_IntersectList.sort(this.m_IntersectNodeComparer);this.CopyAELToSEL();for(var b=this.m_IntersectList.length,d=0;d<b;d++){if(!this.EdgesAdjacent(this.m_IntersectList[d])){for(var e=d+1;e<b&&!this.EdgesAdjacent(this.m_IntersectList[e]);)e++;if(e==b)return!1;var f=this.m_IntersectList[d];this.m_IntersectList[d]=this.m_IntersectList[e];this.m_IntersectList[e]=f}this.SwapPositionsInSEL(this.m_IntersectList[d].Edge1,this.m_IntersectList[d].Edge2)}return!0};f.Clipper.prototype.ProcessIntersectList= +function(){for(var b=0,d=this.m_IntersectList.length;b<d;b++){var e=this.m_IntersectList[b];this.IntersectEdges(e.Edge1,e.Edge2,e.Pt);this.SwapPositionsInAEL(e.Edge1,e.Edge2)}this.m_IntersectList.length=0};I=function(b){return 0>b?Math.ceil(b-.5):Math.round(b)};Jb=function(b){return 0>b?Math.ceil(b-.5):Math.floor(b+.5)};Qa=function(b){return 0>b?-Math.round(Math.abs(b)):Math.round(b)};ab=function(b){if(0>b)return b-=.5,-2147483648>b?Math.ceil(b):b|0;b+=.5;return 2147483647<b?Math.floor(b):b|0};f.Clipper.Round= +Y?I:nb?Qa:Xb?ab:Jb;f.Clipper.TopX=function(b,d){return d==b.Top.Y?b.Top.X:b.Bot.X+f.Clipper.Round(b.Dx*(d-b.Bot.Y))};f.Clipper.prototype.IntersectPoint=function(b,d,e){e.X=0;e.Y=0;var q,n;if(b.Dx==d.Dx)e.Y=b.Curr.Y,e.X=f.Clipper.TopX(b,e.Y);else{if(0===b.Delta.X)e.X=b.Bot.X,f.ClipperBase.IsHorizontal(d)?e.Y=d.Bot.Y:(n=d.Bot.Y-d.Bot.X/d.Dx,e.Y=f.Clipper.Round(e.X/d.Dx+n));else if(0===d.Delta.X)e.X=d.Bot.X,f.ClipperBase.IsHorizontal(b)?e.Y=b.Bot.Y:(q=b.Bot.Y-b.Bot.X/b.Dx,e.Y=f.Clipper.Round(e.X/b.Dx+ +q));else{q=b.Bot.X-b.Bot.Y*b.Dx;n=d.Bot.X-d.Bot.Y*d.Dx;var k=(n-q)/(b.Dx-d.Dx);e.Y=f.Clipper.Round(k);e.X=Math.abs(b.Dx)<Math.abs(d.Dx)?f.Clipper.Round(b.Dx*k+q):f.Clipper.Round(d.Dx*k+n)}if(e.Y<b.Top.Y||e.Y<d.Top.Y){if(b.Top.Y>d.Top.Y)return e.Y=b.Top.Y,e.X=f.Clipper.TopX(d,b.Top.Y),e.X<b.Top.X;e.Y=d.Top.Y;e.X=Math.abs(b.Dx)<Math.abs(d.Dx)?f.Clipper.TopX(b,e.Y):f.Clipper.TopX(d,e.Y)}e.Y>b.Curr.Y&&(e.Y=b.Curr.Y,e.X=Math.abs(b.Dx)>Math.abs(d.Dx)?f.Clipper.TopX(d,e.Y):f.Clipper.TopX(b,e.Y))}};f.Clipper.prototype.ProcessEdgesAtTopOfScanbeam= +function(b){for(var d=this.m_ActiveEdges;null!==d;){var e=this.IsMaxima(d,b);e&&(e=this.GetMaximaPair(d),e=null===e||!f.ClipperBase.IsHorizontal(e));if(e){var q=d.PrevInAEL;this.DoMaxima(d);d=null===q?this.m_ActiveEdges:q.NextInAEL}else{this.IsIntermediate(d,b)&&f.ClipperBase.IsHorizontal(d.NextInLML)?(d=this.UpdateEdgeIntoAEL(d),0<=d.OutIdx&&this.AddOutPt(d,d.Bot),this.AddEdgeToSEL(d)):(d.Curr.X=f.Clipper.TopX(d,b),d.Curr.Y=b);if(this.StrictlySimple&&(q=d.PrevInAEL,0<=d.OutIdx&&0!==d.WindDelta&& +null!==q&&0<=q.OutIdx&&q.Curr.X==d.Curr.X&&0!==q.WindDelta)){var n=new f.IntPoint(d.Curr);f.use_xyz&&this.SetZ(n,q,d);e=this.AddOutPt(q,n);q=this.AddOutPt(d,n);this.AddJoin(e,q,n)}d=d.NextInAEL}}this.ProcessHorizontals(!0);for(d=this.m_ActiveEdges;null!==d;)this.IsIntermediate(d,b)&&(e=null,0<=d.OutIdx&&(e=this.AddOutPt(d,d.Top)),d=this.UpdateEdgeIntoAEL(d),q=d.PrevInAEL,n=d.NextInAEL,null!==q&&q.Curr.X==d.Bot.X&&q.Curr.Y==d.Bot.Y&&null!==e&&0<=q.OutIdx&&q.Curr.Y>q.Top.Y&&f.ClipperBase.SlopesEqual(d, +q,this.m_UseFullRange)&&0!==d.WindDelta&&0!==q.WindDelta?(q=this.AddOutPt(q,d.Bot),this.AddJoin(e,q,d.Top)):null!==n&&n.Curr.X==d.Bot.X&&n.Curr.Y==d.Bot.Y&&null!==e&&0<=n.OutIdx&&n.Curr.Y>n.Top.Y&&f.ClipperBase.SlopesEqual(d,n,this.m_UseFullRange)&&0!==d.WindDelta&&0!==n.WindDelta&&(q=this.AddOutPt(n,d.Bot),this.AddJoin(e,q,d.Top))),d=d.NextInAEL};f.Clipper.prototype.DoMaxima=function(b){var d=this.GetMaximaPair(b);if(null===d)0<=b.OutIdx&&this.AddOutPt(b,b.Top),this.DeleteFromAEL(b);else{for(var e= +b.NextInAEL;null!==e&&e!=d;)this.IntersectEdges(b,e,b.Top),this.SwapPositionsInAEL(b,e),e=b.NextInAEL;-1==b.OutIdx&&-1==d.OutIdx?(this.DeleteFromAEL(b),this.DeleteFromAEL(d)):0<=b.OutIdx&&0<=d.OutIdx?(0<=b.OutIdx&&this.AddLocalMaxPoly(b,d,b.Top),this.DeleteFromAEL(b),this.DeleteFromAEL(d)):f.use_lines&&0===b.WindDelta?(0<=b.OutIdx&&(this.AddOutPt(b,b.Top),b.OutIdx=-1),this.DeleteFromAEL(b),0<=d.OutIdx&&(this.AddOutPt(d,b.Top),d.OutIdx=-1),this.DeleteFromAEL(d)):f.Error("DoMaxima error")}};f.Clipper.ReversePaths= +function(b){for(var d=0,e=b.length;d<e;d++)b[d].reverse()};f.Clipper.Orientation=function(b){return 0<=f.Clipper.Area(b)};f.Clipper.prototype.PointCount=function(b){if(null===b)return 0;var d=0,e=b;do d++,e=e.Next;while(e!=b);return d};f.Clipper.prototype.BuildResult=function(b){f.Clear(b);for(var d=0,e=this.m_PolyOuts.length;d<e;d++){var q=this.m_PolyOuts[d];if(null!==q.Pts){var q=q.Pts.Prev,n=this.PointCount(q);if(!(2>n)){for(var k=Array(n),v=0;v<n;v++)k[v]=q.Pt,q=q.Prev;b.push(k)}}}};f.Clipper.prototype.BuildResult2= +function(b){b.Clear();for(var d=0,e=this.m_PolyOuts.length;d<e;d++){var q=this.m_PolyOuts[d],n=this.PointCount(q.Pts);if(!(q.IsOpen&&2>n||!q.IsOpen&&3>n)){this.FixHoleLinkage(q);var k=new f.PolyNode;b.m_AllPolys.push(k);q.PolyNode=k;k.m_polygon.length=n;for(var q=q.Pts.Prev,v=0;v<n;v++)k.m_polygon[v]=q.Pt,q=q.Prev}}d=0;for(e=this.m_PolyOuts.length;d<e;d++)q=this.m_PolyOuts[d],null!==q.PolyNode&&(q.IsOpen?(q.PolyNode.IsOpen=!0,b.AddChild(q.PolyNode)):null!==q.FirstLeft&&null!=q.FirstLeft.PolyNode? +q.FirstLeft.PolyNode.AddChild(q.PolyNode):b.AddChild(q.PolyNode))};f.Clipper.prototype.FixupOutPolygon=function(b){var d=null;b.BottomPt=null;for(var e=b.Pts;;){if(e.Prev==e||e.Prev==e.Next){b.Pts=null;return}if(f.IntPoint.op_Equality(e.Pt,e.Next.Pt)||f.IntPoint.op_Equality(e.Pt,e.Prev.Pt)||f.ClipperBase.SlopesEqual(e.Prev.Pt,e.Pt,e.Next.Pt,this.m_UseFullRange)&&(!this.PreserveCollinear||!this.Pt2IsBetweenPt1AndPt3(e.Prev.Pt,e.Pt,e.Next.Pt)))d=null,e.Prev.Next=e.Next,e=e.Next.Prev=e.Prev;else if(e== +d)break;else null===d&&(d=e),e=e.Next}b.Pts=e};f.Clipper.prototype.DupOutPt=function(b,d){var e=new f.OutPt;e.Pt.X=b.Pt.X;e.Pt.Y=b.Pt.Y;f.use_xyz&&(e.Pt.Z=b.Pt.Z);e.Idx=b.Idx;d?(e.Next=b.Next,e.Prev=b,b.Next.Prev=e,b.Next=e):(e.Prev=b.Prev,e.Next=b,b.Prev.Next=e,b.Prev=e);return e};f.Clipper.prototype.GetOverlap=function(b,d,e,f,n){b<d?e<f?(n.Left=Math.max(b,e),n.Right=Math.min(d,f)):(n.Left=Math.max(b,f),n.Right=Math.min(d,e)):e<f?(n.Left=Math.max(d,e),n.Right=Math.min(b,f)):(n.Left=Math.max(d,f), +n.Right=Math.min(b,e));return n.Left<n.Right};f.Clipper.prototype.JoinHorz=function(b,d,e,q,n,k){var v=b.Pt.X>d.Pt.X?f.Direction.dRightToLeft:f.Direction.dLeftToRight;q=e.Pt.X>q.Pt.X?f.Direction.dRightToLeft:f.Direction.dLeftToRight;if(v==q)return!1;if(v==f.Direction.dLeftToRight){for(;b.Next.Pt.X<=n.X&&b.Next.Pt.X>=b.Pt.X&&b.Next.Pt.Y==n.Y;)b=b.Next;k&&b.Pt.X!=n.X&&(b=b.Next);d=this.DupOutPt(b,!k);f.IntPoint.op_Inequality(d.Pt,n)&&(b=d,b.Pt.X=n.X,b.Pt.Y=n.Y,f.use_xyz&&(b.Pt.Z=n.Z),d=this.DupOutPt(b, +!k))}else{for(;b.Next.Pt.X>=n.X&&b.Next.Pt.X<=b.Pt.X&&b.Next.Pt.Y==n.Y;)b=b.Next;k||b.Pt.X==n.X||(b=b.Next);d=this.DupOutPt(b,k);f.IntPoint.op_Inequality(d.Pt,n)&&(b=d,b.Pt.X=n.X,b.Pt.Y=n.Y,f.use_xyz&&(b.Pt.Z=n.Z),d=this.DupOutPt(b,k))}if(q==f.Direction.dLeftToRight){for(;e.Next.Pt.X<=n.X&&e.Next.Pt.X>=e.Pt.X&&e.Next.Pt.Y==n.Y;)e=e.Next;k&&e.Pt.X!=n.X&&(e=e.Next);q=this.DupOutPt(e,!k);f.IntPoint.op_Inequality(q.Pt,n)&&(e=q,e.Pt.X=n.X,e.Pt.Y=n.Y,f.use_xyz&&(e.Pt.Z=n.Z),q=this.DupOutPt(e,!k))}else{for(;e.Next.Pt.X>= +n.X&&e.Next.Pt.X<=e.Pt.X&&e.Next.Pt.Y==n.Y;)e=e.Next;k||e.Pt.X==n.X||(e=e.Next);q=this.DupOutPt(e,k);f.IntPoint.op_Inequality(q.Pt,n)&&(e=q,e.Pt.X=n.X,e.Pt.Y=n.Y,f.use_xyz&&(e.Pt.Z=n.Z),q=this.DupOutPt(e,k))}v==f.Direction.dLeftToRight==k?(b.Prev=e,e.Next=b,d.Next=q,q.Prev=d):(b.Next=e,e.Prev=b,d.Prev=q,q.Next=d);return!0};f.Clipper.prototype.JoinPoints=function(b,d,e){var q=b.OutPt1,n;new f.OutPt;var k=b.OutPt2,v;new f.OutPt;if((v=b.OutPt1.Pt.Y==b.OffPt.Y)&&f.IntPoint.op_Equality(b.OffPt,b.OutPt1.Pt)&& +f.IntPoint.op_Equality(b.OffPt,b.OutPt2.Pt)){if(d!=e)return!1;for(n=b.OutPt1.Next;n!=q&&f.IntPoint.op_Equality(n.Pt,b.OffPt);)n=n.Next;n=n.Pt.Y>b.OffPt.Y;for(v=b.OutPt2.Next;v!=k&&f.IntPoint.op_Equality(v.Pt,b.OffPt);)v=v.Next;if(n==v.Pt.Y>b.OffPt.Y)return!1;n?(n=this.DupOutPt(q,!1),v=this.DupOutPt(k,!0),q.Prev=k,k.Next=q,n.Next=v,v.Prev=n):(n=this.DupOutPt(q,!0),v=this.DupOutPt(k,!1),q.Next=k,k.Prev=q,n.Prev=v,v.Next=n);b.OutPt1=q;b.OutPt2=n;return!0}if(v){for(n=q;q.Prev.Pt.Y==q.Pt.Y&&q.Prev!=n&& +q.Prev!=k;)q=q.Prev;for(;n.Next.Pt.Y==n.Pt.Y&&n.Next!=q&&n.Next!=k;)n=n.Next;if(n.Next==q||n.Next==k)return!1;for(v=k;k.Prev.Pt.Y==k.Pt.Y&&k.Prev!=v&&k.Prev!=n;)k=k.Prev;for(;v.Next.Pt.Y==v.Pt.Y&&v.Next!=k&&v.Next!=q;)v=v.Next;if(v.Next==k||v.Next==q)return!1;e={Left:null,Right:null};if(!this.GetOverlap(q.Pt.X,n.Pt.X,k.Pt.X,v.Pt.X,e))return!1;d=e.Left;var C=e.Right;e=new f.IntPoint;q.Pt.X>=d&&q.Pt.X<=C?(e.X=q.Pt.X,e.Y=q.Pt.Y,f.use_xyz&&(e.Z=q.Pt.Z),d=q.Pt.X>n.Pt.X):k.Pt.X>=d&&k.Pt.X<=C?(e.X=k.Pt.X, +e.Y=k.Pt.Y,f.use_xyz&&(e.Z=k.Pt.Z),d=k.Pt.X>v.Pt.X):n.Pt.X>=d&&n.Pt.X<=C?(e.X=n.Pt.X,e.Y=n.Pt.Y,f.use_xyz&&(e.Z=n.Pt.Z),d=n.Pt.X>q.Pt.X):(e.X=v.Pt.X,e.Y=v.Pt.Y,f.use_xyz&&(e.Z=v.Pt.Z),d=v.Pt.X>k.Pt.X);b.OutPt1=q;b.OutPt2=k;return this.JoinHorz(q,n,k,v,e,d)}for(n=q.Next;f.IntPoint.op_Equality(n.Pt,q.Pt)&&n!=q;)n=n.Next;if(C=n.Pt.Y>q.Pt.Y||!f.ClipperBase.SlopesEqual(q.Pt,n.Pt,b.OffPt,this.m_UseFullRange)){for(n=q.Prev;f.IntPoint.op_Equality(n.Pt,q.Pt)&&n!=q;)n=n.Prev;if(n.Pt.Y>q.Pt.Y||!f.ClipperBase.SlopesEqual(q.Pt, +n.Pt,b.OffPt,this.m_UseFullRange))return!1}for(v=k.Next;f.IntPoint.op_Equality(v.Pt,k.Pt)&&v!=k;)v=v.Next;var p=v.Pt.Y>k.Pt.Y||!f.ClipperBase.SlopesEqual(k.Pt,v.Pt,b.OffPt,this.m_UseFullRange);if(p){for(v=k.Prev;f.IntPoint.op_Equality(v.Pt,k.Pt)&&v!=k;)v=v.Prev;if(v.Pt.Y>k.Pt.Y||!f.ClipperBase.SlopesEqual(k.Pt,v.Pt,b.OffPt,this.m_UseFullRange))return!1}if(n==q||v==k||n==v||d==e&&C==p)return!1;C?(n=this.DupOutPt(q,!1),v=this.DupOutPt(k,!0),q.Prev=k,k.Next=q,n.Next=v,v.Prev=n):(n=this.DupOutPt(q,!0), +v=this.DupOutPt(k,!1),q.Next=k,k.Prev=q,n.Prev=v,v.Next=n);b.OutPt1=q;b.OutPt2=n;return!0};f.Clipper.GetBounds=function(b){for(var d=0,e=b.length;d<e&&0==b[d].length;)d++;if(d==e)return new f.IntRect(0,0,0,0);var q=new f.IntRect;q.left=b[d][0].X;q.right=q.left;q.top=b[d][0].Y;for(q.bottom=q.top;d<e;d++)for(var k=0,N=b[d].length;k<N;k++)b[d][k].X<q.left?q.left=b[d][k].X:b[d][k].X>q.right&&(q.right=b[d][k].X),b[d][k].Y<q.top?q.top=b[d][k].Y:b[d][k].Y>q.bottom&&(q.bottom=b[d][k].Y);return q};f.Clipper.prototype.GetBounds2= +function(b){var d=b,e=new f.IntRect;e.left=b.Pt.X;e.right=b.Pt.X;e.top=b.Pt.Y;e.bottom=b.Pt.Y;for(b=b.Next;b!=d;)b.Pt.X<e.left&&(e.left=b.Pt.X),b.Pt.X>e.right&&(e.right=b.Pt.X),b.Pt.Y<e.top&&(e.top=b.Pt.Y),b.Pt.Y>e.bottom&&(e.bottom=b.Pt.Y),b=b.Next;return e};f.Clipper.PointInPolygon=function(b,d){var e=0,f=d.length;if(3>f)return 0;for(var k=d[0],N=1;N<=f;++N){var v=N==f?d[0]:d[N];if(v.Y==b.Y&&(v.X==b.X||k.Y==b.Y&&v.X>b.X==k.X<b.X))return-1;if(k.Y<b.Y!=v.Y<b.Y)if(k.X>=b.X)if(v.X>b.X)e=1-e;else{var C= +(k.X-b.X)*(v.Y-b.Y)-(v.X-b.X)*(k.Y-b.Y);if(0==C)return-1;0<C==v.Y>k.Y&&(e=1-e)}else if(v.X>b.X){C=(k.X-b.X)*(v.Y-b.Y)-(v.X-b.X)*(k.Y-b.Y);if(0==C)return-1;0<C==v.Y>k.Y&&(e=1-e)}k=v}return e};f.Clipper.prototype.PointInPolygon=function(b,d){var e=0,f=d,k=b.X,N=b.Y,v=d.Pt.X,C=d.Pt.Y;do{d=d.Next;var p=d.Pt.X,F=d.Pt.Y;if(F==N&&(p==k||C==N&&p>k==v<k))return-1;if(C<N!=F<N)if(v>=k)if(p>k)e=1-e;else{v=(v-k)*(F-N)-(p-k)*(C-N);if(0==v)return-1;0<v==F>C&&(e=1-e)}else if(p>k){v=(v-k)*(F-N)-(p-k)*(C-N);if(0== +v)return-1;0<v==F>C&&(e=1-e)}v=p;C=F}while(f!=d);return e};f.Clipper.prototype.Poly2ContainsPoly1=function(b,d){var e=b;do{var f=this.PointInPolygon(e.Pt,d);if(0<=f)return 0<f;e=e.Next}while(e!=b);return!0};f.Clipper.prototype.FixupFirstLefts1=function(b,d){for(var e=0,f=this.m_PolyOuts.length;e<f;e++){var k=this.m_PolyOuts[e];null!=k.Pts&&null!=k.FirstLeft&&this.ParseFirstLeft(k.FirstLeft)==b&&this.Poly2ContainsPoly1(k.Pts,d.Pts)&&(k.FirstLeft=d)}};f.Clipper.prototype.FixupFirstLefts2=function(b, +d){for(var e=0,f=this.m_PolyOuts,k=f.length,p=f[e];e<k;e++,p=f[e])p.FirstLeft==b&&(p.FirstLeft=d)};f.Clipper.ParseFirstLeft=function(b){for(;null!=b&&null==b.Pts;)b=b.FirstLeft;return b};f.Clipper.prototype.JoinCommonEdges=function(){for(var b=0,d=this.m_Joins.length;b<d;b++){var e=this.m_Joins[b],k=this.GetOutRec(e.OutPt1.Idx),n=this.GetOutRec(e.OutPt2.Idx);if(null!=k.Pts&&null!=n.Pts){var p;p=k==n?k:this.Param1RightOfParam2(k,n)?n:this.Param1RightOfParam2(n,k)?k:this.GetLowermostRec(k,n);if(this.JoinPoints(e, +k,n))if(k==n){k.Pts=e.OutPt1;k.BottomPt=null;n=this.CreateOutRec();n.Pts=e.OutPt2;this.UpdateOutPtIdxs(n);if(this.m_UsingPolyTree){p=0;for(var v=this.m_PolyOuts.length;p<v-1;p++){var C=this.m_PolyOuts[p];null!=C.Pts&&f.Clipper.ParseFirstLeft(C.FirstLeft)==k&&C.IsHole!=k.IsHole&&this.Poly2ContainsPoly1(C.Pts,e.OutPt2)&&(C.FirstLeft=n)}}this.Poly2ContainsPoly1(n.Pts,k.Pts)?(n.IsHole=!k.IsHole,n.FirstLeft=k,this.m_UsingPolyTree&&this.FixupFirstLefts2(n,k),(n.IsHole^this.ReverseSolution)==0<this.Area(n)&& +this.ReversePolyPtLinks(n.Pts)):this.Poly2ContainsPoly1(k.Pts,n.Pts)?(n.IsHole=k.IsHole,k.IsHole=!n.IsHole,n.FirstLeft=k.FirstLeft,k.FirstLeft=n,this.m_UsingPolyTree&&this.FixupFirstLefts2(k,n),(k.IsHole^this.ReverseSolution)==0<this.Area(k)&&this.ReversePolyPtLinks(k.Pts)):(n.IsHole=k.IsHole,n.FirstLeft=k.FirstLeft,this.m_UsingPolyTree&&this.FixupFirstLefts1(k,n))}else n.Pts=null,n.BottomPt=null,n.Idx=k.Idx,k.IsHole=p.IsHole,p==n&&(k.FirstLeft=n.FirstLeft),n.FirstLeft=k,this.m_UsingPolyTree&&this.FixupFirstLefts2(n, +k)}}};f.Clipper.prototype.UpdateOutPtIdxs=function(b){var d=b.Pts;do d.Idx=b.Idx,d=d.Prev;while(d!=b.Pts)};f.Clipper.prototype.DoSimplePolygons=function(){for(var b=0;b<this.m_PolyOuts.length;){var d=this.m_PolyOuts[b++],e=d.Pts;if(null!=e&&!d.IsOpen){do{for(var k=e.Next;k!=d.Pts;){if(f.IntPoint.op_Equality(e.Pt,k.Pt)&&k.Next!=e&&k.Prev!=e){var n=e.Prev,p=k.Prev;e.Prev=p;p.Next=e;k.Prev=n;n.Next=k;d.Pts=e;n=this.CreateOutRec();n.Pts=k;this.UpdateOutPtIdxs(n);this.Poly2ContainsPoly1(n.Pts,d.Pts)?(n.IsHole= +!d.IsHole,n.FirstLeft=d,this.m_UsingPolyTree&&this.FixupFirstLefts2(n,d)):this.Poly2ContainsPoly1(d.Pts,n.Pts)?(n.IsHole=d.IsHole,d.IsHole=!n.IsHole,n.FirstLeft=d.FirstLeft,d.FirstLeft=n,this.m_UsingPolyTree&&this.FixupFirstLefts2(d,n)):(n.IsHole=d.IsHole,n.FirstLeft=d.FirstLeft,this.m_UsingPolyTree&&this.FixupFirstLefts1(d,n));k=e}k=k.Next}e=e.Next}while(e!=d.Pts)}}};f.Clipper.Area=function(b){var d=b.length;if(3>d)return 0;for(var e=0,f=0,k=d-1;f<d;++f)e+=(b[k].X+b[f].X)*(b[k].Y-b[f].Y),k=f;return.5* +-e};f.Clipper.prototype.Area=function(b){var d=b.Pts;if(null==d)return 0;var e=0;do e+=(d.Prev.Pt.X+d.Pt.X)*(d.Prev.Pt.Y-d.Pt.Y),d=d.Next;while(d!=b.Pts);return.5*e};f.Clipper.SimplifyPolygon=function(b,d){var e=[],k=new f.Clipper(0);k.StrictlySimple=!0;k.AddPath(b,f.PolyType.ptSubject,!0);k.Execute(f.ClipType.ctUnion,e,d,d);return e};f.Clipper.SimplifyPolygons=function(b,d){"undefined"==typeof d&&(d=f.PolyFillType.pftEvenOdd);var e=[],k=new f.Clipper(0);k.StrictlySimple=!0;k.AddPaths(b,f.PolyType.ptSubject, +!0);k.Execute(f.ClipType.ctUnion,e,d,d);return e};f.Clipper.DistanceSqrd=function(b,d){var e=b.X-d.X,f=b.Y-d.Y;return e*e+f*f};f.Clipper.DistanceFromLineSqrd=function(b,d,e){var f=d.Y-e.Y;e=e.X-d.X;d=f*d.X+e*d.Y;d=f*b.X+e*b.Y-d;return d*d/(f*f+e*e)};f.Clipper.SlopesNearCollinear=function(b,d,e,k){return Math.abs(b.X-d.X)>Math.abs(b.Y-d.Y)?b.X>d.X==b.X<e.X?f.Clipper.DistanceFromLineSqrd(b,d,e)<k:d.X>b.X==d.X<e.X?f.Clipper.DistanceFromLineSqrd(d,b,e)<k:f.Clipper.DistanceFromLineSqrd(e,b,d)<k:b.Y>d.Y== +b.Y<e.Y?f.Clipper.DistanceFromLineSqrd(b,d,e)<k:d.Y>b.Y==d.Y<e.Y?f.Clipper.DistanceFromLineSqrd(d,b,e)<k:f.Clipper.DistanceFromLineSqrd(e,b,d)<k};f.Clipper.PointsAreClose=function(b,d,e){var f=b.X-d.X;b=b.Y-d.Y;return f*f+b*b<=e};f.Clipper.ExcludeOp=function(b){var d=b.Prev;d.Next=b.Next;b.Next.Prev=d;d.Idx=0;return d};f.Clipper.CleanPolygon=function(b,d){"undefined"==typeof d&&(d=1.415);var e=b.length;if(0==e)return[];for(var k=Array(e),n=0;n<e;++n)k[n]=new f.OutPt;for(n=0;n<e;++n)k[n].Pt=b[n],k[n].Next= +k[(n+1)%e],k[n].Next.Prev=k[n],k[n].Idx=0;n=d*d;for(k=k[0];0==k.Idx&&k.Next!=k.Prev;)f.Clipper.PointsAreClose(k.Pt,k.Prev.Pt,n)?(k=f.Clipper.ExcludeOp(k),e--):f.Clipper.PointsAreClose(k.Prev.Pt,k.Next.Pt,n)?(f.Clipper.ExcludeOp(k.Next),k=f.Clipper.ExcludeOp(k),e-=2):f.Clipper.SlopesNearCollinear(k.Prev.Pt,k.Pt,k.Next.Pt,n)?(k=f.Clipper.ExcludeOp(k),e--):(k.Idx=1,k=k.Next);3>e&&(e=0);for(var p=Array(e),n=0;n<e;++n)p[n]=new f.IntPoint(k.Pt),k=k.Next;return p};f.Clipper.CleanPolygons=function(b,d){for(var e= +Array(b.length),k=0,n=b.length;k<n;k++)e[k]=f.Clipper.CleanPolygon(b[k],d);return e};f.Clipper.Minkowski=function(b,d,e,k){k=k?1:0;var n=b.length,p=d.length,v=[];if(e)for(e=0;e<p;e++){for(var C=Array(n),F=0,E=b.length,H=b[F];F<E;F++,H=b[F])C[F]=new f.IntPoint(d[e].X+H.X,d[e].Y+H.Y);v.push(C)}else for(e=0;e<p;e++){C=Array(n);F=0;E=b.length;for(H=b[F];F<E;F++,H=b[F])C[F]=new f.IntPoint(d[e].X-H.X,d[e].Y-H.Y);v.push(C)}b=[];for(e=0;e<p-1+k;e++)for(F=0;F<n;F++)d=[],d.push(v[e%p][F%n]),d.push(v[(e+1)% +p][F%n]),d.push(v[(e+1)%p][(F+1)%n]),d.push(v[e%p][(F+1)%n]),f.Clipper.Orientation(d)||d.reverse(),b.push(d);return b};f.Clipper.MinkowskiSum=function(b,d,e){if(d[0]instanceof Array){v=d;d=new f.Paths;for(var k=new f.Clipper,n=0;n<v.length;++n){var p=f.Clipper.Minkowski(b,v[n],!0,e);k.AddPaths(p,f.PolyType.ptSubject,!0);e&&(p=f.Clipper.TranslatePath(v[n],b[0]),k.AddPath(p,f.PolyType.ptClip,!0))}k.Execute(f.ClipType.ctUnion,d,f.PolyFillType.pftNonZero,f.PolyFillType.pftNonZero);return d}var v=f.Clipper.Minkowski(b, +d,!0,e),k=new f.Clipper;k.AddPaths(v,f.PolyType.ptSubject,!0);k.Execute(f.ClipType.ctUnion,v,f.PolyFillType.pftNonZero,f.PolyFillType.pftNonZero);return v};f.Clipper.TranslatePath=function(b,d){for(var e=new f.Path,k=0;k<b.length;k++)e.push(new f.IntPoint(b[k].X+d.X,b[k].Y+d.Y));return e};f.Clipper.MinkowskiDiff=function(b,d){var e=f.Clipper.Minkowski(b,d,!1,!0),k=new f.Clipper;k.AddPaths(e,f.PolyType.ptSubject,!0);k.Execute(f.ClipType.ctUnion,e,f.PolyFillType.pftNonZero,f.PolyFillType.pftNonZero); +return e};f.Clipper.PolyTreeToPaths=function(b){var d=[];f.Clipper.AddPolyNodeToPaths(b,f.Clipper.NodeType.ntAny,d);return d};f.Clipper.AddPolyNodeToPaths=function(b,d,e){var k=!0;switch(d){case f.Clipper.NodeType.ntOpen:return;case f.Clipper.NodeType.ntClosed:k=!b.IsOpen}0<b.m_polygon.length&&k&&e.push(b.m_polygon);k=0;b=b.Childs();for(var n=b.length,p=b[k];k<n;k++,p=b[k])f.Clipper.AddPolyNodeToPaths(p,d,e)};f.Clipper.OpenPathsFromPolyTree=function(b){for(var d=new f.Paths,e=0,k=b.ChildCount();e< +k;e++)b.Childs()[e].IsOpen&&d.push(b.Childs()[e].m_polygon);return d};f.Clipper.ClosedPathsFromPolyTree=function(b){var d=new f.Paths;f.Clipper.AddPolyNodeToPaths(b,f.Clipper.NodeType.ntClosed,d);return d};V(f.Clipper,f.ClipperBase);f.Clipper.NodeType={ntAny:0,ntOpen:1,ntClosed:2};f.ClipperOffset=function(b,d){"undefined"==typeof b&&(b=2);"undefined"==typeof d&&(d=f.ClipperOffset.def_arc_tolerance);this.m_destPolys=new f.Paths;this.m_srcPoly=new f.Path;this.m_destPoly=new f.Path;this.m_normals=[]; +this.m_StepsPerRad=this.m_miterLim=this.m_cos=this.m_sin=this.m_sinA=this.m_delta=0;this.m_lowest=new f.IntPoint;this.m_polyNodes=new f.PolyNode;this.MiterLimit=b;this.ArcTolerance=d;this.m_lowest.X=-1};f.ClipperOffset.two_pi=6.28318530717959;f.ClipperOffset.def_arc_tolerance=.25;f.ClipperOffset.prototype.Clear=function(){f.Clear(this.m_polyNodes.Childs());this.m_lowest.X=-1};f.ClipperOffset.Round=f.Clipper.Round;f.ClipperOffset.prototype.AddPath=function(b,d,e){var k=b.length-1;if(!(0>k)){var n= +new f.PolyNode;n.m_jointype=d;n.m_endtype=e;if(e==f.EndType.etClosedLine||e==f.EndType.etClosedPolygon)for(;0<k&&f.IntPoint.op_Equality(b[0],b[k]);)k--;n.m_polygon.push(b[0]);var p=0;d=0;for(var v=1;v<=k;v++)f.IntPoint.op_Inequality(n.m_polygon[p],b[v])&&(p++,n.m_polygon.push(b[v]),b[v].Y>n.m_polygon[d].Y||b[v].Y==n.m_polygon[d].Y&&b[v].X<n.m_polygon[d].X)&&(d=p);if(!(e==f.EndType.etClosedPolygon&&2>p)&&(this.m_polyNodes.AddChild(n),e==f.EndType.etClosedPolygon))if(0>this.m_lowest.X)this.m_lowest= +new f.IntPoint(this.m_polyNodes.ChildCount()-1,d);else if(b=this.m_polyNodes.Childs()[this.m_lowest.X].m_polygon[this.m_lowest.Y],n.m_polygon[d].Y>b.Y||n.m_polygon[d].Y==b.Y&&n.m_polygon[d].X<b.X)this.m_lowest=new f.IntPoint(this.m_polyNodes.ChildCount()-1,d)}};f.ClipperOffset.prototype.AddPaths=function(b,d,e){for(var f=0,k=b.length;f<k;f++)this.AddPath(b[f],d,e)};f.ClipperOffset.prototype.FixOrientations=function(){if(0<=this.m_lowest.X&&!f.Clipper.Orientation(this.m_polyNodes.Childs()[this.m_lowest.X].m_polygon))for(var b= +0;b<this.m_polyNodes.ChildCount();b++){var d=this.m_polyNodes.Childs()[b];(d.m_endtype==f.EndType.etClosedPolygon||d.m_endtype==f.EndType.etClosedLine&&f.Clipper.Orientation(d.m_polygon))&&d.m_polygon.reverse()}else for(b=0;b<this.m_polyNodes.ChildCount();b++)d=this.m_polyNodes.Childs()[b],d.m_endtype!=f.EndType.etClosedLine||f.Clipper.Orientation(d.m_polygon)||d.m_polygon.reverse()};f.ClipperOffset.GetUnitNormal=function(b,d){var e=d.X-b.X,k=d.Y-b.Y;if(0==e&&0==k)return new f.DoublePoint(0,0);var n= +1/Math.sqrt(e*e+k*k);return new f.DoublePoint(k*n,-(e*n))};f.ClipperOffset.prototype.DoOffset=function(b){this.m_destPolys=[];this.m_delta=b;if(f.ClipperBase.near_zero(b))for(var d=0;d<this.m_polyNodes.ChildCount();d++){var e=this.m_polyNodes.Childs()[d];e.m_endtype==f.EndType.etClosedPolygon&&this.m_destPolys.push(e.m_polygon)}else{this.m_miterLim=2<this.MiterLimit?2/(this.MiterLimit*this.MiterLimit):.5;var k=3.14159265358979/Math.acos(1-(0>=this.ArcTolerance?f.ClipperOffset.def_arc_tolerance:this.ArcTolerance> +Math.abs(b)*f.ClipperOffset.def_arc_tolerance?Math.abs(b)*f.ClipperOffset.def_arc_tolerance:this.ArcTolerance)/Math.abs(b));this.m_sin=Math.sin(f.ClipperOffset.two_pi/k);this.m_cos=Math.cos(f.ClipperOffset.two_pi/k);this.m_StepsPerRad=k/f.ClipperOffset.two_pi;0>b&&(this.m_sin=-this.m_sin);for(d=0;d<this.m_polyNodes.ChildCount();d++){e=this.m_polyNodes.Childs()[d];this.m_srcPoly=e.m_polygon;var n=this.m_srcPoly.length;if(!(0==n||0>=b&&(3>n||e.m_endtype!=f.EndType.etClosedPolygon))){this.m_destPoly= +[];if(1==n)if(e.m_jointype==f.JoinType.jtRound)for(var e=1,n=0,p=1;p<=k;p++){this.m_destPoly.push(new f.IntPoint(f.ClipperOffset.Round(this.m_srcPoly[0].X+e*b),f.ClipperOffset.Round(this.m_srcPoly[0].Y+n*b)));var v=e,e=e*this.m_cos-this.m_sin*n,n=v*this.m_sin+n*this.m_cos}else for(n=e=-1,p=0;4>p;++p)this.m_destPoly.push(new f.IntPoint(f.ClipperOffset.Round(this.m_srcPoly[0].X+e*b),f.ClipperOffset.Round(this.m_srcPoly[0].Y+n*b))),0>e?e=1:0>n?n=1:e=-1;else{for(p=this.m_normals.length=0;p<n-1;p++)this.m_normals.push(f.ClipperOffset.GetUnitNormal(this.m_srcPoly[p], +this.m_srcPoly[p+1]));e.m_endtype==f.EndType.etClosedLine||e.m_endtype==f.EndType.etClosedPolygon?this.m_normals.push(f.ClipperOffset.GetUnitNormal(this.m_srcPoly[n-1],this.m_srcPoly[0])):this.m_normals.push(new f.DoublePoint(this.m_normals[n-2]));if(e.m_endtype==f.EndType.etClosedPolygon)for(v=n-1,p=0;p<n;p++)v=this.OffsetPoint(p,v,e.m_jointype);else if(e.m_endtype==f.EndType.etClosedLine){v=n-1;for(p=0;p<n;p++)v=this.OffsetPoint(p,v,e.m_jointype);this.m_destPolys.push(this.m_destPoly);this.m_destPoly= +[];v=this.m_normals[n-1];for(p=n-1;0<p;p--)this.m_normals[p]=new f.DoublePoint(-this.m_normals[p-1].X,-this.m_normals[p-1].Y);this.m_normals[0]=new f.DoublePoint(-v.X,-v.Y);v=0;for(p=n-1;0<=p;p--)v=this.OffsetPoint(p,v,e.m_jointype)}else{v=0;for(p=1;p<n-1;++p)v=this.OffsetPoint(p,v,e.m_jointype);e.m_endtype==f.EndType.etOpenButt?(p=n-1,v=new f.IntPoint(f.ClipperOffset.Round(this.m_srcPoly[p].X+this.m_normals[p].X*b),f.ClipperOffset.Round(this.m_srcPoly[p].Y+this.m_normals[p].Y*b)),this.m_destPoly.push(v), +v=new f.IntPoint(f.ClipperOffset.Round(this.m_srcPoly[p].X-this.m_normals[p].X*b),f.ClipperOffset.Round(this.m_srcPoly[p].Y-this.m_normals[p].Y*b)),this.m_destPoly.push(v)):(p=n-1,v=n-2,this.m_sinA=0,this.m_normals[p]=new f.DoublePoint(-this.m_normals[p].X,-this.m_normals[p].Y),e.m_endtype==f.EndType.etOpenSquare?this.DoSquare(p,v):this.DoRound(p,v));for(p=n-1;0<p;p--)this.m_normals[p]=new f.DoublePoint(-this.m_normals[p-1].X,-this.m_normals[p-1].Y);this.m_normals[0]=new f.DoublePoint(-this.m_normals[1].X, +-this.m_normals[1].Y);v=n-1;for(p=v-1;0<p;--p)v=this.OffsetPoint(p,v,e.m_jointype);e.m_endtype==f.EndType.etOpenButt?(v=new f.IntPoint(f.ClipperOffset.Round(this.m_srcPoly[0].X-this.m_normals[0].X*b),f.ClipperOffset.Round(this.m_srcPoly[0].Y-this.m_normals[0].Y*b)),this.m_destPoly.push(v),v=new f.IntPoint(f.ClipperOffset.Round(this.m_srcPoly[0].X+this.m_normals[0].X*b),f.ClipperOffset.Round(this.m_srcPoly[0].Y+this.m_normals[0].Y*b)),this.m_destPoly.push(v)):(this.m_sinA=0,e.m_endtype==f.EndType.etOpenSquare? +this.DoSquare(0,1):this.DoRound(0,1))}}this.m_destPolys.push(this.m_destPoly)}}}};f.ClipperOffset.prototype.Execute=function(){var b=arguments;if(b[0]instanceof f.PolyTree)if(d=b[0],e=b[1],d.Clear(),this.FixOrientations(),this.DoOffset(e),b=new f.Clipper(0),b.AddPaths(this.m_destPolys,f.PolyType.ptSubject,!0),0<e)b.Execute(f.ClipType.ctUnion,d,f.PolyFillType.pftPositive,f.PolyFillType.pftPositive);else if(e=f.Clipper.GetBounds(this.m_destPolys),k=new f.Path,k.push(new f.IntPoint(e.left-10,e.bottom+ +10)),k.push(new f.IntPoint(e.right+10,e.bottom+10)),k.push(new f.IntPoint(e.right+10,e.top-10)),k.push(new f.IntPoint(e.left-10,e.top-10)),b.AddPath(k,f.PolyType.ptSubject,!0),b.ReverseSolution=!0,b.Execute(f.ClipType.ctUnion,d,f.PolyFillType.pftNegative,f.PolyFillType.pftNegative),1==d.ChildCount()&&0<d.Childs()[0].ChildCount())for(b=d.Childs()[0],d.Childs()[0]=b.Childs()[0],d.Childs()[0].m_Parent=d,e=1;e<b.ChildCount();e++)d.AddChild(b.Childs()[e]);else d.Clear();else{var d=b[0],e=b[1];f.Clear(d); +this.FixOrientations();this.DoOffset(e);b=new f.Clipper(0);b.AddPaths(this.m_destPolys,f.PolyType.ptSubject,!0);if(0<e)b.Execute(f.ClipType.ctUnion,d,f.PolyFillType.pftPositive,f.PolyFillType.pftPositive);else{var e=f.Clipper.GetBounds(this.m_destPolys),k=new f.Path;k.push(new f.IntPoint(e.left-10,e.bottom+10));k.push(new f.IntPoint(e.right+10,e.bottom+10));k.push(new f.IntPoint(e.right+10,e.top-10));k.push(new f.IntPoint(e.left-10,e.top-10));b.AddPath(k,f.PolyType.ptSubject,!0);b.ReverseSolution= +!0;b.Execute(f.ClipType.ctUnion,d,f.PolyFillType.pftNegative,f.PolyFillType.pftNegative);0<d.length&&d.splice(0,1)}}};f.ClipperOffset.prototype.OffsetPoint=function(b,d,e){this.m_sinA=this.m_normals[d].X*this.m_normals[b].Y-this.m_normals[b].X*this.m_normals[d].Y;if(1>Math.abs(this.m_sinA*this.m_delta)){if(0<this.m_normals[d].X*this.m_normals[b].X+this.m_normals[b].Y*this.m_normals[d].Y)return this.m_destPoly.push(new f.IntPoint(f.ClipperOffset.Round(this.m_srcPoly[b].X+this.m_normals[d].X*this.m_delta), +f.ClipperOffset.Round(this.m_srcPoly[b].Y+this.m_normals[d].Y*this.m_delta))),d}else 1<this.m_sinA?this.m_sinA=1:-1>this.m_sinA&&(this.m_sinA=-1);if(0>this.m_sinA*this.m_delta)this.m_destPoly.push(new f.IntPoint(f.ClipperOffset.Round(this.m_srcPoly[b].X+this.m_normals[d].X*this.m_delta),f.ClipperOffset.Round(this.m_srcPoly[b].Y+this.m_normals[d].Y*this.m_delta))),this.m_destPoly.push(new f.IntPoint(this.m_srcPoly[b])),this.m_destPoly.push(new f.IntPoint(f.ClipperOffset.Round(this.m_srcPoly[b].X+this.m_normals[b].X* +this.m_delta),f.ClipperOffset.Round(this.m_srcPoly[b].Y+this.m_normals[b].Y*this.m_delta)));else switch(e){case f.JoinType.jtMiter:e=1+(this.m_normals[b].X*this.m_normals[d].X+this.m_normals[b].Y*this.m_normals[d].Y);e>=this.m_miterLim?this.DoMiter(b,d,e):this.DoSquare(b,d);break;case f.JoinType.jtSquare:this.DoSquare(b,d);break;case f.JoinType.jtRound:this.DoRound(b,d)}return b};f.ClipperOffset.prototype.DoSquare=function(b,d){var e=Math.tan(Math.atan2(this.m_sinA,this.m_normals[d].X*this.m_normals[b].X+ +this.m_normals[d].Y*this.m_normals[b].Y)/4);this.m_destPoly.push(new f.IntPoint(f.ClipperOffset.Round(this.m_srcPoly[b].X+this.m_delta*(this.m_normals[d].X-this.m_normals[d].Y*e)),f.ClipperOffset.Round(this.m_srcPoly[b].Y+this.m_delta*(this.m_normals[d].Y+this.m_normals[d].X*e))));this.m_destPoly.push(new f.IntPoint(f.ClipperOffset.Round(this.m_srcPoly[b].X+this.m_delta*(this.m_normals[b].X+this.m_normals[b].Y*e)),f.ClipperOffset.Round(this.m_srcPoly[b].Y+this.m_delta*(this.m_normals[b].Y-this.m_normals[b].X* +e))))};f.ClipperOffset.prototype.DoMiter=function(b,d,e){e=this.m_delta/e;this.m_destPoly.push(new f.IntPoint(f.ClipperOffset.Round(this.m_srcPoly[b].X+(this.m_normals[d].X+this.m_normals[b].X)*e),f.ClipperOffset.Round(this.m_srcPoly[b].Y+(this.m_normals[d].Y+this.m_normals[b].Y)*e)))};f.ClipperOffset.prototype.DoRound=function(b,d){for(var e=Math.max(f.Cast_Int32(f.ClipperOffset.Round(this.m_StepsPerRad*Math.abs(Math.atan2(this.m_sinA,this.m_normals[d].X*this.m_normals[b].X+this.m_normals[d].Y*this.m_normals[b].Y)))), +1),k=this.m_normals[d].X,n=this.m_normals[d].Y,p,v=0;v<e;++v)this.m_destPoly.push(new f.IntPoint(f.ClipperOffset.Round(this.m_srcPoly[b].X+k*this.m_delta),f.ClipperOffset.Round(this.m_srcPoly[b].Y+n*this.m_delta))),p=k,k=k*this.m_cos-this.m_sin*n,n=p*this.m_sin+n*this.m_cos;this.m_destPoly.push(new f.IntPoint(f.ClipperOffset.Round(this.m_srcPoly[b].X+this.m_normals[b].X*this.m_delta),f.ClipperOffset.Round(this.m_srcPoly[b].Y+this.m_normals[b].Y*this.m_delta)))};f.Error=function(b){try{throw Error(b); +}catch(d){alert(d.message)}};f.JS={};f.JS.AreaOfPolygon=function(b,d){d||(d=1);return f.Clipper.Area(b)/(d*d)};f.JS.AreaOfPolygons=function(b,d){d||(d=1);for(var e=0,k=0;k<b.length;k++)e+=f.Clipper.Area(b[k]);return e/(d*d)};f.JS.BoundsOfPath=function(b,d){return f.JS.BoundsOfPaths([b],d)};f.JS.BoundsOfPaths=function(b,d){d||(d=1);var e=f.Clipper.GetBounds(b);e.left/=d;e.bottom/=d;e.right/=d;e.top/=d;return e};f.JS.Clean=function(b,d){if(!(b instanceof Array))return[];var e=b[0]instanceof Array;b= +f.JS.Clone(b);if("number"!=typeof d||null===d)return f.Error("Delta is not a number in Clean()."),b;if(0===b.length||1==b.length&&0===b[0].length||0>d)return b;e||(b=[b]);for(var k=b.length,n,p,v,F,E,H,K,I=[],ea=0;ea<k;ea++)if(p=b[ea],n=p.length,0!==n)if(3>n)v=p,I.push(v);else{v=p;F=d*d;E=p[0];for(K=H=1;K<n;K++)(p[K].X-E.X)*(p[K].X-E.X)+(p[K].Y-E.Y)*(p[K].Y-E.Y)<=F||(v[H]=p[K],E=p[K],H++);E=p[H-1];(p[0].X-E.X)*(p[0].X-E.X)+(p[0].Y-E.Y)*(p[0].Y-E.Y)<=F&&H--;H<n&&v.splice(H,n-H);v.length&&I.push(v)}!e&& +I.length?I=I[0]:e||0!==I.length?e&&0===I.length&&(I=[[]]):I=[];return I};f.JS.Clone=function(b){if(!(b instanceof Array)||0===b.length)return[];if(1==b.length&&0===b[0].length)return[[]];var d=b[0]instanceof Array;d||(b=[b]);var e=b.length,f,k,p,v,F=Array(e);for(k=0;k<e;k++){f=b[k].length;v=Array(f);for(p=0;p<f;p++)v[p]={X:b[k][p].X,Y:b[k][p].Y};F[k]=v}d||(F=F[0]);return F};f.JS.Lighten=function(b,d){if(!(b instanceof Array))return[];if("number"!=typeof 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g.turnIntoCSList([g.turnIntoCSList([l.zero,l.neg(a),c]),g.turnIntoCSList([a,l.zero,l.neg(h)]),g.turnIntoCSList([l.neg(c),h,l.zero])])};g.cross=function(a, +h){var c=l.sub(l.mult(a.value[1],h.value[2]),l.mult(a.value[2],h.value[1])),b=l.sub(l.mult(a.value[2],h.value[0]),l.mult(a.value[0],h.value[2])),d=l.sub(l.mult(a.value[0],h.value[1]),l.mult(a.value[1],h.value[0]));return g.turnIntoCSList([c,b,d])};g.crossratio3harm=function(a,h,c,b,d){var e=g.det3(a,c,d),f=g.det3(h,b,d);a=g.det3(a,b,d);h=g.det3(h,c,d);e=l.mult(e,f);f=l.mult(a,h);return g.turnIntoCSList([e,f])};g.crossratio3=function(a,h,c,b,d){a=g.crossratio3harm(a,h,c,b,d);return l.div(a.value[0], +a.value[1])};g.veronese=function(a){var h=l.mult(a.value[0],a.value[0]),c=l.mult(a.value[1],a.value[1]),b=l.mult(a.value[2],a.value[2]),d=l.mult(a.value[0],a.value[1]),e=l.mult(a.value[0],a.value[2]);a=l.mult(a.value[1],a.value[2]);return g.turnIntoSCList([h,c,b,d,e,a])};g.matrixFromVeronese=function(a){var h=a.value[0],c=a.value[1],b=a.value[2],d=l.realmult(.5,a.value[3]),e=l.realmult(.5,a.value[4]);a=l.realmult(.5,a.value[5]);return g.turnIntoCSList([g.turnIntoCSList([h,d,e]),g.turnIntoCSList([d, +c,a]),g.turnIntoCSList([e,a,b])])};g.det2=function(a,h){var c=l.mult(a.value[0],h.value[1]);return c=l.sub(c,l.mult(a.value[1],h.value[0]))};g.det3=function(a,h,c){return l.complex(a.value[0].value.real*h.value[1].value.real*c.value[2].value.real-a.value[0].value.imag*h.value[1].value.imag*c.value[2].value.real-a.value[0].value.imag*h.value[1].value.real*c.value[2].value.imag-a.value[0].value.real*h.value[1].value.imag*c.value[2].value.imag+a.value[2].value.real*h.value[0].value.real*c.value[1].value.real- 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h=a.value,c=h[0].value,b=c[0].value,d=+b.real,g=+b.imag,b=c[1].value,e=+b.real,f=+b.imag,b=c[2].value,k=+b.real,m=+b.imag,b=c[3].value,n=+b.real,p=+b.imag,c=h[1].value, +b=c[0].value,q=+b.real,t=+b.imag,b=c[1].value,u=+b.real,v=+b.imag,b=c[2].value,w=+b.real,x=+b.imag,b=c[3].value,c=+b.real,b=+b.imag;a=d*u-g*v-e*q+f*t;var y=d*v+g*u-e*t-f*q,z=d*w-g*x-k*q+m*t,A=d*x+g*w-k*t-m*q,B=d*c-g*b-n*q+p*t,C=d*b+g*c-n*t-p*q,D=e*w-f*x-k*u+m*v,E=e*x+f*w-k*v-m*u,F=e*c-f*b-n*u+p*v,G=e*b+f*c-n*v-p*u,H=k*c-m*b-n*w+p*x,L=k*b+m*c-n*x-p*w,c=h[2].value,b=c[0].value,d=+b.real,g=+b.imag,b=c[1].value,e=+b.real,f=+b.imag,b=c[2].value,k=+b.real,m=+b.imag,b=c[3].value,n=+b.real,p=+b.imag,c=h[3].value, +b=c[0].value,q=+b.real,t=+b.imag,b=c[1].value,u=+b.real,v=+b.imag,b=c[2].value,w=+b.real,x=+b.imag,b=c[3].value,c=+b.real,b=+b.imag,h=d*u-g*v-e*q+f*t,J=d*v+g*u-e*t-f*q,I=d*w-g*x-k*q+m*t,K=d*x+g*w-k*t-m*q,M=d*c-g*b-n*q+p*t,d=d*b+g*c-n*t-p*q,g=e*w-f*x-k*u+m*v,q=e*x+f*w-k*v-m*u,t=e*c-f*b-n*u+p*v,e=e*b+f*c-n*v-p*u,f=k*c-m*b-n*w+p*x,k=k*b+m*c-n*x-p*w;return l.complex(a*f-y*k-z*t+A*e+B*g-C*q+D*M-E*d-F*I+G*K+H*h-L*J,a*k+y*f-z*e-A*t+B*q+C*g+D*d+E*M-F*K-G*I+H*J+L*h)};g.eucangle=function(a,h){var c=g.cross(a, +g.linfty),b=g.cross(h,g.linfty),d=g.det3(g.ez,c,g.ii),c=g.det3(g.ez,c,g.jj),e=g.det3(g.ez,b,g.ii),b=g.det3(g.ez,b,g.jj),d=l.div(l.mult(d,b),l.mult(e,c)),d=l.log(d);return d=l.mult(d,l.complex(0,.5))};g.zerovector=function(a){a=Math.floor(a.value.real);for(var h=Array(a),c=0;c<a;c++)h[c]=0;return g.realVector(h)};g.zeromatrix=function(a,h){for(var c=Math.floor(a.value.real),b=Array(c),d=0;d<c;d++)b[d]=g.zerovector(h);return g.turnIntoCSList(b)};g.vandermonde=function(a){for(var h=a.value.length,c= +g.zeromatrix(h,h),b=0;b<h;b++)for(var d=0;d<h;d++)c.value[b].value[d]=l.pow(a.value[b],l.real(d-1));return c};g.transpose=function(a){for(var h=[],c=a.value[0].value.length,b=a.value.length,d=0;d<c;d++){for(var e=[],f=0;f<b;f++)e[f]=a.value[f].value[d];h[d]=g.turnIntoCSList(e)}return g.turnIntoCSList(h)};g.column=function(a,h){for(var c=[],b=a.value.length,d=Math.floor(h.value.real-1),e=0;e<b;e++)c[e]=a.value[e].value[d];return g.turnIntoCSList(c)};g.row=function(a,h){for(var c=[],b=a.value[0].value.length, +d=Math.floor(h.value.real-1),e=0;e<b;e++)c[e]=a.value[d].value[e];return g.turnIntoCSList(c)};g.adjoint2=function(a){var h=a.value[0].value[0],c=a.value[1].value[0],b=Array(2);b[0]=g.turnIntoCSList([a.value[1].value[1],l.neg(a.value[0].value[1])]);b[1]=g.turnIntoCSList([l.neg(c),h]);return b=g.turnIntoCSList(b)};g.adjoint3=function(a){var h,c,b,d,g,e,f,k,l,m,n,p,q,t,u,v,w;h=a.value[0].value;c=h[0].value;b=c.real;d=c.imag;c=h[1].value;g=c.real;e=c.imag;c=h[2].value;f=c.real;k=c.imag;h=a.value[1].value; +c=h[0].value;l=c.real;m=c.imag;c=h[1].value;n=c.real;p=c.imag;c=h[2].value;q=c.real;t=c.imag;h=a.value[2].value;c=h[0].value;a=c.real;u=c.imag;c=h[1].value;v=c.real;w=c.imag;c=h[2].value;h=c.real;c=c.imag;return{ctype:"list",value:[{ctype:"list",value:[{ctype:"number",value:{real:n*h-q*v-p*c+t*w,imag:n*c-q*w-v*t+h*p}},{ctype:"number",value:{real:-g*h+f*v+e*c-k*w,imag:-g*c+f*w+v*k-h*e}},{ctype:"number",value:{real:g*q-f*n-e*t+k*p,imag:g*t-f*p-n*k+q*e}}]},{ctype:"list",value:[{ctype:"number",value:{real:-l* +h+q*a+m*c-t*u,imag:-l*c+q*u+a*t-h*m}},{ctype:"number",value:{real:b*h-f*a-d*c+k*u,imag:b*c-f*u-a*k+h*d}},{ctype:"number",value:{real:-b*q+f*l+d*t-k*m,imag:-b*t+f*m+l*k-q*d}}]},{ctype:"list",value:[{ctype:"number",value:{real:l*v-n*a-m*w+p*u,imag:l*w-n*u-a*p+v*m}},{ctype:"number",value:{real:-b*v+g*a+d*w-e*u,imag:-b*w+g*u+a*e-v*d}},{ctype:"number",value:{real:b*n-g*l-d*p+e*m,imag:b*p-g*m-l*e+n*d}}]}]}};g.inverse=function(a){var h=a.value.length;if(h!==a.value[0].value.length)return console.log("Inverse works only for square matrices"), +k;if(2===h)return g.scaldiv(g.det(a),g.adjoint2(a));if(3===h)return g.scaldiv(g.det(a),g.adjoint3(a));h=g.LUdecomp(a);a=a.value.length;var c=l.real(0),b=l.real(1),d=g.zerovector(l.real(a));d.value[0]=b;for(var e=Array(a),f=0;f<a;f++)e[f]=g._helper.LUsolve(h,d),d.value[f]=c,d.value[f+1]=b;e=g.turnIntoCSList(e);return e=g.transpose(e)};g.linearsolve=function(a,h){return 2===a.value.length?g.linearsolveCramer2(a,h):3===a.value.length?g.linearsolveCramer3(a,h):g.LUsolve(a,h)};g.getDiag=function(a){if(a.value.length!== +a.value[0].value.length)return k;for(var h=Array(a.value.length),c=0;c<a.value.length;c++)h[c]=a.value[c].value[c];return g.turnIntoCSList(h)};g.getSubDiag=function(a){if(a.value.length!==a.value[0].value.length)return k;for(var h=Array(a.value.length-1),c=0;c<a.value.length-1;c++)h[c]=a.value[c+1].value[c];return g.turnIntoCSList(h)};g.eig2=function(a){var h=l.add(a.value[0].value[0],a.value[1].value[1]);a=g.det2(a.value[0],a.value[1]);var c=l.mult(h,h),b=h=l.mult(h,l.real(.5));a=l.sqrt(l.sub(l.div(c, +l.real(4)),a));h=l.add(h,a);b=l.sub(b,a);return g.turnIntoCSList([h,b])};g.eig=function(a,h){var c=h||!0,b=a,d=l.real(b.value.length),e=d.value.real;l.real(0);var b=g._helper.QRIteration(b)[0],b=g.getDiag(b),b=g.sort1(b),d=g.idMatrix(d,d),f=Array(e),f=g.turnIntoCSList(f);if(c){for(var k,m,n,p=0,q=!1,c=0;c<e;c++)q?m=k.value[p]:(k=b.value[c],k=g.sub(a,g.scalmult(k,d)),k=g.nullSpace(k),m=k.value[0],void 0!==m&&(n=m)),void 0===m&&(m=n),1E-8>g.abs(m).value.real&&0===p&&(m=g._helper.inverseIteration(a, +b.value[c])),f.value[c]=g._helper.isAlmostZeroVec(m)?m:g.scaldiv(g.abs(m),m),c<e-1&&((q=1E-6>l.abs(l.sub(b.value[c],b.value[c+1])).value.real)?p++:p=0);f=g.transpose(f)}return g.turnIntoCSList([b,f])};g._helper.isNormalMatrix=function(a){return 1E-10>g.abs(g.sub(a,g.transjugate(a))).value.real};g._helper.QRIteration=function(a,h){var c,b=a;c=l.real(b.value.length);var d=c.value.real,e=c.value.real;l.real(0);var f;g.idMatrix(c,c);var k=g.zeromatrix(c,c),m=g.idMatrix(c,c),n=h?h:2500,p,q,t,u=0,v=Array(e); +for(c=0;c<n;c++){f=g._helper.getBlock(b,[e-2,e-1],[e-2,e-1]);p=g.eig2(f);f=p.value[0];p=p.value[1];g.abs(f);g.abs(p);q=b.value[e-1].value[e-1];t=l.abs(l.sub(q,f)).value.real;q=l.abs(l.sub(q,p)).value.real;p=t<q?f:p;f=g.idMatrix(l.real(e),l.real(e));p=g.scalmult(p,f);f=g.QRdecomp(g.sub(b,p));b=w.mult(f.R,f.Q);b=g.add(b,p);f.Q=g._helper.buildBlockMatrix(f.Q,g.idMatrix(l.real(u),l.real(u)));m=w.mult(m,f.Q);if(1E-48>l.abs2(b.value[b.value.length-1].value[b.value[0].value.length-2]).value.real&&1<e){v[d- +u-1]=b.value[e-1].value[e-1];for(c=0;c<e;c++)k.value[e-1].value[c]=b.value[e-1].value[c],k.value[c].value[e-1]=b.value[c].value[e-1];b=g._helper.getBlock(b,[0,e-2],[0,e-2]);u++;e--}if(1===e){k.value[0].value[0]=b.value[0].value[0];break}if(g._helper.isUpperTriangular(b)){for(c=0;c<e;c++)k.value[c].value[c]=b.value[c].value[c];break}}return[k,m]};g.rank=function(a,h){return g.RRQRdecomp(a,h).rank};g._helper.isAlmostZeroVec=function(a){for(var h=a.value.length,c=0;c<h;c++)if(!l._helper.isAlmostZero(a.value[c]))return!1; +return!0};g._helper.isLowerTriangular=function(a){for(var h=a.value.length,c=a.value[0].value.length,b=0;b<h;b++)for(var d=b+1;d<c;d++)if(!l._helper.isAlmostZero(a.value[b].value[d]))return!1;return!0};g._helper.isUpperTriangular=function(a){return g._helper.isLowerTriangular(g.transpose(a))};g._helper.isAlmostId=function(a){var h=a.value.length,c=l.real(h);if(h!==a.value[0].value.length)return!1;a=g.sub(a,g.idMatrix(c),c);for(c=0;c<h;c++)for(var b=0;b<h;b++)if(1E-16<l.abs(a.value[c].value[b]).value.real)return!1; +return!0};g.nullSpace=function(a,h){var c=a.value.length,b=g.RRQRdecomp(g.transjugate(a),h),d=g.transpose(b.Q),b=c-b.rank.value.real,e=Array(b);d.value.reverse();for(var f,k=0;k<b;k++)f=d.value[k],e[k]=g.scaldiv(g.abs(f),f);e=g.turnIntoCSList(e);return 0<e.value.length?e:g.turnIntoCSList([g.zerovector(l.real(c))])};g._helper.isAlmostDiagonal=function(a){var h=a.value.length;l.real(h);l.real(0);if(h!==a.value[0].value.length)return!1;for(var c=0;c<h;c++)for(var b=0;b<h;b++)if(c!==b&&1E-16<l.abs(a.value[c].value[b]).value.real)return!1; +return!0};g._helper.inverseIteration=function(a,h){console.log("warning: code untested");for(var c=a.value.length,b=Array(c),d=0;d<c;d++)b[d]=2*Math.random()-.5;for(var b=g.realVector(b),c=g.idMatrix(l.real(c),l.real(c)),d=l.add(h,l.real(.1*Math.random()-.5)),e=0;100>e;e++)b=g.scaldiv(g.abs(b),b),b=g.LUsolve(g.sub(a,g.scalmult(d,c)),JSON.parse(JSON.stringify(b)));return g.scaldiv(g.abs(b),b)};g._helper.toHessenberg=function(a){var h=JSON.parse(JSON.stringify(a)),c=h.value.length,b=l.real(c-1),d=l.real(c); +l.real(1);if(g._helper.isUpperTriangular(h))return[g.idMatrix(b,b),a];var e;a=g.idMatrix(d,d);for(var f,d=1;d<c-1;d++)e=g.column(h,l.real(d)),e.value=e.value.splice(d),f=g.abs2(e).value.real,1E-16<f&&(e=g._helper.getHouseHolder(e),a=w.mult(a,e),h=w.mult(w.mult(e,h),e)),b.value.real--;return[a,h]};g._helper.swapEl=function(a,h,c){var b;"[object Array]"===Object.prototype.toString.call(a)?(b=a[h],a[h]=a[c],a[c]=b):"list"===a.ctype&&(b=a.value[h],a.value[h]=a.value[c],a.value[c]=b)};g.RRQRdecomp=function(a, +h){var c=Math.sqrt(l.eps);void 0!==h&&(c=.1*h.value.real);var c=c*c,b,d=a.value.length,e=l.real(d),f=l.real(1),k=g._helper.unitvector(l.real(a.value.length),f),m=g.idMatrix(e,e),n=JSON.parse(JSON.stringify(a)),p=g.transpose(a),q=Array(d);for(b=0;b<d;b++)q[b]=g.abs2(p.value[b]);q=g.turnIntoCSList(q);p=Array(d);for(b=0;b<d;b++)p[b]=b;b=g.maxIndex(q,l.abs);for(var t=q.value[b],u=0,v=0;1E-16<l.abs2(t).value.real;v++){u++;g._helper.swapColumn(n,v,b);g._helper.swapEl(q,v,b);g._helper.swapEl(p,v,b);b=g._helper.getBlock(n, +[v],[v]);b=g.column(b,f);t=g.abs2(b).value.real;1E-8<t&&(b=g._helper.getHouseHolder(b),b=g._helper.buildBlockMatrix(g.idMatrix(l.real(v),l.real(v)),b),m=w.mult(m,g.transjugate(b)),n=w.mult(b,n));for(b=v+1;b<d;b++)q.value[b]=l.sub(q.value[b],l.mult(n.value[v].value[b],l.conjugate(n.value[v].value[b])));b=g.maxIndex(q,l.abs2,v+1);t=q.value[b];if(v+2===d){l.abs(t).value.real>c&&u++;break}e=l.sub(e,f);k.value=k.value.splice(0,k.value.length-1)}return{Q:m,R:n,P:g.turnIntoCSList(p),rank:l.real(u)}};g._helper.getHouseHolder= +function(a){var h=l.real(a.value.length);if(1E-16>g.abs2(a))return g.idMatrix(h,h);var c,b=l.real(1),d=g._helper.unitvector(l.real(a.value.length),b);c=g._helper.QRgetAlpha(a,0);c=g.sub(a,g.scalmult(c,d));c=g.scaldiv(g.abs(c),c);a=l.div(g.sesquilinearproduct(a,c),g.sesquilinearproduct(c,a));h=g.idMatrix(h,h);return h=g.sub(h,g.scalmult(l.add(b,a),g._helper.transposeMult(c,g.conjugate(c))))};g._helper.reOrderbyPivots=function(a,h){for(var c=a.value.length.length,b=g.transpose(a),c=Array(c),d=0;d<h.length;d++)c[h[d]]= +b.value[d];c=g.turnIntoCSList(c);return g.transpose(c)};g.QRdecomp=function(a){var h,c=a.value.length,b=l.real(c);if(g._helper.isUpperTriangular(a))return{Q:g.idMatrix(b,b),R:a};var d=l.real(1),e=g._helper.unitvector(l.real(a.value.length),d),f,k=g.idMatrix(b,b);a=JSON.parse(JSON.stringify(a));for(var m=0;;m++){h=g._helper.getBlock(a,[m],[m]);h=g.column(h,d);f=g.abs2(h).value.real;1E-8<f&&(h=g._helper.getHouseHolder(h),h=g._helper.buildBlockMatrix(g.idMatrix(l.real(m),l.real(m)),h),k=w.mult(k,g.transjugate(h)), +a=w.mult(h,a));if(m+2===c)break;b=l.sub(b,d);e.value=e.value.splice(0,e.value.length-1)}return{Q:k,R:a}};g._helper.swapColumn=function(a,h,c){for(var b,d=0;d<a.value.length;d++)b=a.value[d].value[h],a.value[d].value[h]=a.value[d].value[c],a.value[d].value[c]=b};g._helper.buildBlockMatrix=function(a,h){if(0===a.value.length)return h;if(0===h.value.length)return a;for(var c=a.value.length,b=a.value[0].value.length,d=b+h.value[0].value.length,d=g.zeromatrix(l.real(c+h.value.length),l.real(d)),e=0;e< +a.value.length;e++)for(var f=0;f<a.value[0].value.length;f++)d.value[e].value[f]=a.value[e].value[f];for(e=0;e<h.value.length;e++)for(f=0;f<h.value[0].value.length;f++)d.value[c+e].value[b+f]=h.value[e].value[f];return d};g._helper.getBlock=function(a,h,c){a=JSON.parse(JSON.stringify(a));var b=h[0],d=c[0];h=void 0===h[1]?a.value.length:h[1];c=void 0===c[1]?a.value[0].value.length:c[1];h++;c++;a.value=a.value.slice(b,h);for(b=0;b<a.value.length;b++)a.value[b].value=a.value[b].value.slice(d,c);return a}; +g._helper.setBlock=function(a,h,c){a=JSON.parse(JSON.stringify(a));var b=c[0];c=c[1];for(var d=h.value.length,g=h.value[0].value.length,e=0;e<d;e++)for(var f=0;f<g;f++)a.value[b+e].value[c+f]=h.value[e].value[f];return a};g._helper.transposeMult=function(a,h){if(a.value.length!==h.value.length)return k;for(var c=a.value.length,b=Array(c),d=0;d<c;d++)b[d]=g.scalmult(a.value[d],h);return g.turnIntoCSList(b)};g._helper.QRgetAlpha=function(a,h){return 0>a.value[h].value.real?g.abs(a):l.neg(g.abs(a))}; +g.LUdecomp=function(a){a=JSON.parse(JSON.stringify(a));var h,c,b,d,g,e=0,f,k=a.value.length,m=k-1,n=Array(k);for(b=0;b<k;++b){g=b;d=a.value[b];f=l.abs(d.value[b]).value.real;for(c=b+1;c<k;++c)h=l.abs(a.value[c].value[b]),f<h.value.real&&(f=h.value.real,g=c);f<l.eps&&console.log("Warning: singular matrix!");n[b]=g;g!==b&&(a.value[b]=a.value[g],a.value[g]=d,d=a.value[b],e++);c=d.value[b];for(h=b+1;h<k;++h)a.value[h].value[b]=l.div(a.value[h].value[b],c);for(h=b+1;h<k;++h){g=a.value[h];for(c=b+1;c<m;++c)g.value[c]= +l.sub(g.value[c],l.mult(g.value[b],d.value[c])),++c,g.value[c]=l.sub(g.value[c],l.mult(g.value[b],d.value[c]));c===m&&(g.value[c]=l.sub(g.value[c],l.mult(g.value[b],d.value[c])))}}return{LU:a,P:n,TransPos:e}};g.LUsolve=function(a,h){var c=g.LUdecomp(a);return 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c=B(a[0]);if("list"===c.ctype&&2===c.value.length){if(c=c.value,"number"===c[0].ctype&& +"number"===c[1].ctype)return t.arctan2$2(c,h)}else if("number"===c.ctype)return l.arctan2(c);return k};t.log$1=function(a,h){var c=B(a[0]);return"number"===c.ctype?l.log(c):k};D.recursiveGen=function(a){var h=l[a],c=g[a];t[a+"$1"]=function(a,b){var d=B(a[0]);return"number"===d.ctype?h(d):"list"===d.ctype?c(d):k}};D.recursiveGen("im");D.recursiveGen("re");D.recursiveGen("conjugate");D.recursiveGen("round");D.recursiveGen("ceil");D.recursiveGen("floor");D.recursiveGen("abs");t.abs_infix=t.abs$1;t.random$0= +function(a,h){return l.real(l._helper.rand())};t.random$1=function(a,h){var c=B(a[0]);return"number"===c.ctype?l.complex(c.value.real*l._helper.rand(),c.value.imag*l._helper.rand()):k};t.seedrandom$1=function(a,h){var c=B(a[0]);"number"===c.ctype&&l._helper.seedrandom(c.value.real);return k};t.randomnormal$0=function(a,h){return l.real(l._helper.randnormal())};t.randominteger$1=function(a,h){var c=B(a[0]);if("number"===c.ctype){var b=c.value.real|0,c=c.value.imag|0,b=b*l._helper.rand()|0,c=c*l._helper.rand()| +0;return l.complex(b,c)}return k};t.randomint$1=t.randominteger$1;t.randombool$0=function(a,h){return.5<l._helper.rand()?{ctype:"boolean",value:!0}:{ctype:"boolean",value:!1}};t.isreal$1=function(a,h){var c=A(a[0]);return"number"===c.ctype&&l._helper.isAlmostReal(c)?{ctype:"boolean",value:!0}:{ctype:"boolean",value:!1}};t.isinteger$1=function(a,h){var c=A(a[0]);return"number"===c.ctype&&l._helper.isAlmostReal(c)&&c.value.real===Math.floor(c.value.real)?{ctype:"boolean",value:!0}:{ctype:"boolean", +value:!1}};t.iseven$1=function(a,h){var c=A(a[0]);return"number"===c.ctype&&l._helper.isAlmostReal(c)&&c.value.real/2===Math.floor(c.value.real/2)?{ctype:"boolean",value:!0}:{ctype:"boolean",value:!1}};t.isodd$1=function(a,h){var c=A(a[0]);return"number"===c.ctype&&l._helper.isAlmostReal(c)&&(c.value.real-1)/2===Math.floor((c.value.real-1)/2)?{ctype:"boolean",value:!0}:{ctype:"boolean",value:!1}};t.iscomplex$1=function(a,h){return"number"===A(a[0]).ctype?{ctype:"boolean",value:!0}:{ctype:"boolean", +value:!1}};t.isstring$1=function(a,h){return"string"===A(a[0]).ctype?{ctype:"boolean",value:!0}:{ctype:"boolean",value:!1}};t.islist$1=function(a,h){return"list"===A(a[0]).ctype?{ctype:"boolean",value:!0}:{ctype:"boolean",value:!1}};t.ismatrix$1=function(a,h){var c=A(a[0]);return-1!==g._helper.colNumb(c)?{ctype:"boolean",value:!0}:{ctype:"boolean",value:!1}};t.iscircle$1=function(a,h){var c=A(a[0]);return"geo"===c.ctype&&"C"===c.value.kind&&"Circle"===c.value.matrix.usage?{ctype:"boolean",value:!0}: +{ctype:"boolean",value:!1}};t.isconic$1=function(a,h){var c=A(a[0]);return"geo"===c.ctype&&"C"===c.value.kind?{ctype:"boolean",value:!0}:{ctype:"boolean",value:!1}};t.isline$1=function(a,h){var c=A(a[0]);return"geo"===c.ctype&&"L"===c.value.kind?{ctype:"boolean",value:!0}:{ctype:"boolean",value:!1}};t.ispoint$1=function(a,h){var c=A(a[0]);return"geo"===c.ctype&&"P"===c.value.kind?{ctype:"boolean",value:!0}:{ctype:"boolean",value:!1}};t.isgeometric$1=function(a,h){return"geo"===A(a[0]).ctype?{ctype:"boolean", +value:!0}:{ctype:"boolean",value:!1}};t.isnumbermatrix$1=function(a,h){var c=A(a[0]);return g.isNumberMatrix(c)};t.isnumbervector$1=function(a,h){var c=A(a[0]);return g.isNumberVector(c)};t.issun$1=function(a,h){var c=A(a[0]);return"geo"===c.ctype&&void 0!==c.value.behavior&&"Sun"===c.value.behavior.type?{ctype:"boolean",value:!0}:{ctype:"boolean",value:!1}};t.ismass$1=function(a,h){var c=A(a[0]);return"geo"===c.ctype&&void 0!==c.value.behavior&&"Mass"===c.value.behavior.type?{ctype:"boolean",value:!0}: +{ctype:"boolean",value:!1}};t.isspring$1=function(a,h){var c=A(a[0]);return"geo"===c.ctype&&void 0!==c.value.behavior&&"Spring"===c.value.behavior.type?{ctype:"boolean",value:!0}:{ctype:"boolean",value:!1}};t.isbouncer$1=function(a,h){var c=A(a[0]);return"geo"===c.ctype&&void 0!==c.value.behavior&&"Bouncer"===c.value.behavior.type?{ctype:"boolean",value:!0}:{ctype:"boolean",value:!1}};t.isundefined$1=function(a,h){return"undefined"===A(a[0]).ctype?{ctype:"boolean",value:!0}:{ctype:"boolean",value:!1}}; +var Hd={ArcBy3:"Arc",CenterOfConic:"Center",ConicBy1p4l:"Conic1P4L",ConicBy4p1l:"Conic4P1L",ConicBy5lines:"Conic5L",ConicBy2Foci1P:"ConicFoci",ConicFromPrincipalDirections:"ConicPrincipleDirs",Free:"FreePoint",PolarOfLine:"PolarLine",PolarOfPoint:"PolarPoint",PointOnSegment:"PointOnLine",Button:"Text",ToggleButton:"Text",TrReflectionL:"TrReflection",TrReflectionP:"TrReflection",TrReflectionC:"TrReflection",TrTranslation:"TrProjection",TrSimilarity:"TrProjection",TrAffine:"TrProjection",TransformP:"Transform", +TransformL:"Transform",TransformSegment:"Transform",TransformS:"Transform",TransformPolygon:"Transform",TransformArc:"Transform",TransformConic:"Transform",TransformC:"Transform",TrMoebiusP:"Transform",TrMoebiusL:"Transform",TrMoebiusSegment:"Transform",TrMoebiusS:"Transform",TrMoebiusPolygon:"Transform",TrMoebiusArc:"Transform",TrMoebiusCircle:"Transform",TrMoebiusC:"Transform",TrInverseMoebius:"TrInverse",Perp:"Orthogonal",Para:"Parallel",AngleBisector:"AngularBisector",IntersectLC:"IntersectionConicLine", +IntersectCirCir:"IntersectionCircleCircle",OtherPointOnCircle:"PointOnCircle"};t.algorithm$1=function(a,h){var c=A(a[0]);if("geo"===c.ctype){var c=c.value,b=c.type,d=B(h.compatibility);"string"===d.ctype&&/^cinderella$/i.test(d.value)&&(/^Select/.test(b)&&(c=u.csnames[c.args[0]],b=c.type),Hd.hasOwnProperty(b)?b=Hd[b]:"CircleMr"===b&&(b=c.pinned?"CircleByFixedRadius":"CircleByRadius"));return w.string(b)}return k};t.inputs$1=function(a,h){var c=A(a[0]);if("geo"===c.ctype){var c=c.value,b=c.type,d= +[];c.args&&(d=c.args.map(function(a){return{ctype:"geo",value:u.csnames[a]}}));if(/^Select/.test(b)||m[b].isMovable)switch(c.kind){case "P":case "L":d.push(c.homog);break;case "C":d.push(c.matrix)}return g.turnIntoCSList(d)}return k};t.moveto$2=function(a,h){var c=A(a[0]),b=B(a[1]);"geo"===c.ctype&&(c=c.value,g._helper.isNumberVecN(b,2)?ya.setField(c,"xy",b):g._helper.isNumberVecN(b,3)&&ya.setField(c,"homog",b));return k};t.continuefromhere$0=function(a,h){ub();return k};t.matrixrowcolumn$1=function(a, +h){var c=A(a[0]);return-1!==g._helper.colNumb(c)?g.realVector([c.value.length,c.value[0].value.length]):k};t.rowmatrix$1=function(a,h){var c=A(a[0]);return"list"===c.ctype?g.turnIntoCSList([c]):k};t.columnmatrix$1=function(a,h){var c=A(a[0]);return"list"===c.ctype?g.turnIntoCSList(c.value.map(function(a){return g.turnIntoCSList([a])})):k};t.submatrix$3=function(a,h){var c=A(a[0]),b=A(a[1]),d=A(a[2]);if("list"===c.ctype&&"number"===b.ctype&&"number"===d.ctype){var e=Math.round(b.value.real),b=Math.round(d.value.real), +c=c.value.slice();0<b&&b<=c.length&&c.splice(b-1,1);var f=!0,c=c.map(function(a){if("list"!==a.ctype)f=!1;else return a=a.value.slice(),0<e&&e<=a.length&&a.splice(e-1,1),g.turnIntoCSList(a)});return f?g.turnIntoCSList(c):k}return k};t.complex$1=function(a,h){var c,b,d;d=B(a[0]);if("list"===d.ctype&&g.isNumberVector(d)){if(2===d.value.length)return c=d.value[0],b=d.value[1],l.complex(c.value.real-b.value.imag,b.value.real+c.value.imag);if(3===d.value.length)return c=d.value[0],b=d.value[1],d=d.value[2], +c=l.div(c,d),b=l.div(b,d),l.complex(c.value.real-b.value.imag,b.value.real+c.value.imag)}return k};t.gauss$1=function(a,h){var c=B(a[0]);return"number"===c.ctype?g.realVector([c.value.real,c.value.imag]):k};t.cross$2=Sc;t.crossratio$4=function(a,h){var c=A(a[0]),b=A(a[1]),d=A(a[2]),e=A(a[3]),f=M(c),m=M(b),n=M(d),p=M(e);return f!==k&&m!==k&&n!==k&&p!==k?g.crossratio3(f,m,n,p,g.ii):"number"===c.ctype&&"number"===b.ctype&&"number"===d.ctype&&"number"===e.ctype?l.div(l.mult(l.sub(c,d),l.sub(b,e)),l.mult(l.sub(c, +e),l.sub(b,d))):k};t.para$2=function(a,h){var c=B(a[0]),b=B(a[1]),d=M(c),e=M(b);if(c!==k&&b!==k){var b=b.usage,f=d,l=e;if("Line"===c.usage||"Point"===b)f=e,l=d;c=g.cross(g.cross(g.linfty,l),f);return w.withUsage(c,"Line")}return k};t.perp$2=function(a,h){var c=B(a[0]),b=B(a[1]),d=M(c),e=M(b);if(c!==k&&b!==k){var f=b.usage||e.usage,b=d,m=e;if("Line"===(c.usage||d.usage)||"Point"===f)b=e,m=d;c=g.turnIntoCSList([m.value[0],m.value[1],l.zero]);c=g.cross(c,b);return w.withUsage(c,"Line")}return k};t.perp$1= +function(a,h){var c=B(a[0]);return g._helper.isNumberVecN(c,2)?g.turnIntoCSList([l.neg(c.value[1]),c.value[0]]):k};t.parallel$2=t.para$2;t.perpendicular$2=t.perp$2;t.perpendicular$1=t.perp$1;t.meet$2=function(a,h){var c=M(a[0]),b=M(a[1]);return c!==k&&b!==k?(c=g.cross(c,b),w.withUsage(c,"Point")):k};t.join$2=function(a,h){var c=M(a[0]),b=M(a[1]);return c!==k&&b!==k?(c=g.cross(c,b),w.withUsage(c,"Line")):k};t.dist$2=function(a,h){var c=B(a[0]),b=B(a[1]),c=$b([c,b],[]);return t.abs$1([c],[])};t.dist_infix= +t.dist$2;t.point$1=function(a,h){var c=A(a[0]);return g._helper.isNumberVecN(c,3)||g._helper.isNumberVecN(c,2)?w.withUsage(c,"Point"):c};t.line$1=function(a,h){var c=A(a[0]);return g._helper.isNumberVecN(c,3)?w.withUsage(c,"Line"):c};t.det$3=function(a,h){var c=M(a[0]),b=M(a[1]),d=M(a[2]);if(c!==k&&b!==k&&d!==k)return g.det3(c,b,d)};t.det$1=function(a,h){var c=B(a[0]);if("list"===c.ctype){var b=g._helper.colNumb(c);if(-1!==b&&b===c.value.length)return g.det(c)}return k};t.eig$1=function(a,h){var c= +B(a[0]);if("list"===c.ctype){var b=g._helper.colNumb(c);if(-1!==b&&b===c.value.length)return g.eig(c)}return k};t.eigenvalues$1=function(a,h){var c=B(a[0]);if("list"===c.ctype){var b=g._helper.colNumb(c);if(-1!==b&&b===c.value.length)return g.eig(c,!1).value[0]}return k};t.rank$1=function(a,h){var c=B(a[0]);if("list"===c.ctype){var b=g._helper.colNumb(c);if(-1!==b&&b===c.value.length)return g.rank(c,h.precision)}return k};t.kernel$1=function(a,h){var c=B(a[0]);if("list"===c.ctype){var b=g._helper.colNumb(c); +if(-1!==b&&b===c.value.length)return c=g.nullSpace(c,h.precision),g.transpose(c)}return k};t.eigenvectors$1=function(a,h){var c=B(a[0]);if("list"===c.ctype){var b=g._helper.colNumb(c);if(-1!==b&&b===c.value.length)return g.eig(c).value[1]}return k};t.area$3=function(a,h){var c=M(a[0]),b=M(a[1]),d=M(a[2]);if(c!==k&&b!==k&&d!==k){var e=c.value[2],f=b.value[2],m=d.value[2];if(!l._helper.isAlmostZero(e)&&!l._helper.isAlmostZero(f)&&!l._helper.isAlmostZero(m))return c=g.scaldiv(e,c),b=g.scaldiv(f,b),d= +g.scaldiv(m,d),c=g.det3(c,b,d),l.realmult(.5,c)}return k};t.inverse$1=function(a,h){var c=B(a[0]);if("list"===c.ctype){var b=g._helper.colNumb(c);if(-1!==b&&b===c.value.length)return g.inverse(c)}return k};t.linearsolve$2=function(a,h){var c=B(a[0]),b=B(a[1]);if("list"===c.ctype){var d=g._helper.colNumb(c);if(-1!==d&&d===c.value.length&&g._helper.isNumberVecN(b,d))return g.linearsolve(c,b)}return k};var Ud=[[[]],[[0]],[[0,1],[1,0]],[[0,1,2],[0,2,1],[1,0,2],[1,2,0],[2,0,1],[2,1,0]],[[0,1,2,3],[0,1, +3,2],[0,2,1,3],[0,2,3,1],[0,3,1,2],[0,3,2,1],[1,0,2,3],[1,0,3,2],[1,2,0,3],[1,2,3,0],[1,3,0,2],[1,3,2,0],[2,0,1,3],[2,0,3,1],[2,1,0,3],[2,1,3,0],[2,3,0,1],[2,3,1,0],[3,0,1,2],[3,0,2,1],[3,1,0,2],[3,1,2,0],[3,2,0,1],[3,2,1,0]]];t.mincostmatching$1=function(a,h){var c=A(a[0]);if(g.isNumberMatrix(c).value){var b=c.value.length,d=g._helper.colNumb(c),e=b<d?d:b,f,m,n=Array(e);for(f=0;f<e;++f)for(n[f]=Array(e),m=0;m<e;++m)n[f][m]=f<b&&m<d?c.value[f].value[m].value.real:0;c=nc(n);e=Array(b);for(f=0;f<b;++f)m= +c[f],e[f]=m<d?l.real(m+1):l.real(0);return g.turnIntoCSList(e)}return k};t.take$2=oc;t.length$1=function(a,h){var c=A(a[0]);return"list"===c.ctype||"string"===c.ctype?l.real(c.value.length):k};t.pairs$1=function(a,h){var c=A(a[0]);return"list"===c.ctype?g.pairs(c):k};t.triples$1=function(a,h){var c=A(a[0]);return"list"===c.ctype?g.triples(c):k};t.cycle$1=function(a,h){var c=A(a[0]);return"list"===c.ctype?g.cycle(c):k};t.consecutive$1=function(a,h){var c=A(a[0]);return"list"===c.ctype?g.consecutive(c): +k};t.reverse$1=function(a,h){var c=A(a[0]);return"list"===c.ctype?g.reverse(c):k};t.directproduct$2=function(a,h){var c=A(a[0]),b=A(a[1]);return"list"===c.ctype&&"list"===b.ctype?g.directproduct(c,b):k};t.concat$2=Tc;t.common$2=Uc;t.remove$2=Vc;t.append$2=Wc;t.prepend$2=Xc;t.contains$2=function(a,h){var c=A(a[0]),b=A(a[1]);return"list"===c.ctype?g.contains(c,b):k};t.sort$2=function(a,h){return t.sort$3([a[0],null,a[1]],h)};t.sort$3=function(a,h){var c=B(a[0]);if("list"!==c.ctype)return k;var b="#"; +null!==a[1]&&"variable"===a[1].ctype&&(b=a[1].name);var c=c.value,d=[];J.newvar(b);var e;for(e=0;e<c.length;e++)J.setvar(b,c[e]),d[e]={val:c[e],result:A(a[2])};J.removevar(b);d.sort(w.compareResults);b=[];for(e=0;e<c.length;e++)b[e]=d[e].val;return{ctype:"list",value:b}};t.sort$1=function(a,h){var c=A(a[0]);return"list"===c.ctype?g.sort1(c):k};t.set$1=function(a,h){var c=A(a[0]);return"list"===c.ctype?g.set(c):k};t.combinations$2=function(a,h){function c(a,h){a===f?n.push(g.turnIntoCSList(m.slice())): +h<e&&(m[a]=b.value[h],c(a+1,h+1),c(a,h+1))}var b=A(a[0]),d=A(a[1]),e,f,m,n;if("number"===d.ctype){f=d.value.real|0;if("number"===b.ctype){e=b.value.real|0;e-f<f&&(f=e-f);if(0>f)return l.real(0);if(0===f)return l.real(1);if(1===f)return b;for(var p=d=1,q=1;q<=f;++q)var t=e-f+q|0,v=q|0,u=pc(t,v)|0,t=t/u|0,v=v/u|0,u=pc(d,v)|0,d=d/u|0,v=v/u|0,u=pc(t,p)|0,t=t/u|0,p=p/u|0,d=d*t|0,p=p*v|0;return l.real(d/p)}if("list"===b.ctype){e=b.value.length;if(0>f||f>e)return g.turnIntoCSList([]);if(0===f)return g.turnIntoCSList([g.turnIntoCSList([])]); 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c=A(a[0]),b=A(a[1]);return"dict"===c.ctype?Ka.get(c,b,k):k};t.red$1=function(a, +h){var c=A(a[0]);return"number"===c.ctype?g.realVector([Math.min(1,Math.max(0,c.value.real)),0,0]):k};t.green$1=function(a,h){var c=A(a[0]);return"number"===c.ctype?g.realVector([0,Math.min(1,Math.max(0,c.value.real)),0]):k};t.blue$1=function(a,h){var c=A(a[0]);return"number"===c.ctype?g.realVector([0,0,Math.min(1,Math.max(0,c.value.real))]):k};t.gray$1=function(a,h){var c=A(a[0]);return"number"===c.ctype?(c=Math.min(1,Math.max(0,c.value.real)),g.realVector([c,c,c])):k};t.grey$1=t.gray$1;D.HSVtoRGB= +function(a,h,c){var b,d,e,f,k,l;a&&void 0===h&&void 0===c&&(h=a.s,c=a.v,a=a.h);f=Math.floor(6*a);k=6*a-f;a=c*(1-h);l=c*(1-k*h);h=c*(1-(1-k)*h);switch(f%6){case 0:b=c;d=h;e=a;break;case 1:b=l;d=c;e=a;break;case 2:b=a;d=c;e=h;break;case 3:b=a;d=l;e=c;break;case 4:b=h;d=a;e=c;break;case 5:b=c,d=a,e=l}return g.realVector([b,d,e])};t.hue$1=function(a,h){var 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b=u.csnames[a.args[0]];a=g.normalizeZ(m._helper.initializePoint(a));var c=g.normalizeZ(m._helper.CenterOfCircle(b.matrix)),d=g.sub(a,c),d=g.turnIntoCSList([d.value[1],l.neg(d.value[0]),l.zero]),c=g.cross(a,c),b=m._helper.IntersectLC(c,b.matrix), +c=g.projectiveDistMinScal(a,b[0]);g.projectiveDistMinScal(a,b[1])<c?(a=b[1],b=b[0]):(a=b[0],b=b[1]);T(d);T(a);T(b);fb=!1};m.PointOnCircle.putParamToState=function(a,b){T(b)};m.PointOnCircle.getParamFromState=function(a){return Z(3)};m.PointOnCircle.getParamForInput=function(a,b,c){c=g.normalizeZ(m._helper.CenterOfCircle(u.csnames[a.args[0]].matrix));b=g.sub(b,c);va=a.stateIdx;a=Z(3);var d=g.normalizeZ(Z(3));c=g.sub(d,c);0>l.sub(l.mult(a.value[0],c.value[1]),l.mult(a.value[1],c.value[0])).value.real&& +(b=g.neg(b));return g.turnIntoCSList([b.value[1],l.neg(b.value[0]),l.zero])};m.PointOnCircle.parameterPath=function(a,b,c,d,e){d=g.normalizeAbs(d);e=g.normalizeAbs(e);var f=g.scalproduct(d,e);if(0<=f.value.real)return xd(a,b,c,d,e);a=g.turnIntoCSList([l.sub(d.value[1],e.value[1]),l.sub(e.value[0],d.value[0]),l.zero]);f=g.scalproduct(d,a);0>f.value.real&&(a=g.neg(a));0>b?(b=2*b+1,c=b*b,f=.25/(1+c),c=l.complex(2*b*f+.25,(1-c)*f)):(b=2*b-1,c=b*b,f=.25/(1+c),c=l.complex(2*b*f+.75,(1-c)*f));var k=l.sub(l.real(1), +c);b=l.mult(c,c);f=l.mult(k,k);c=l.mult(c,k);d=g.scalmult(f,d);d=g.add(d,g.scalmult(c,a));return d=g.add(d,g.scalmult(b,e))};m.PointOnCircle.updatePosition=function(a){var b=Z(3);T(b);var c=u.csnames[a.args[0]],b=g.productMV(c.matrix,b),c=m._helper.IntersectLC(b,c.matrix),c=Na(c[0],c[1]),b=g.normalizeMax(c.value[0]);a.homog=w.withUsage(b,"Point");a.antipodalPoint=c.value[1]};m.PointOnCircle.stateSize=6+Na.stateSize;m.OtherPointOnCircle={};m.OtherPointOnCircle.kind="P";m.OtherPointOnCircle.signature= +["P"];m.OtherPointOnCircle.signatureConstraints=function(a){return"PointOnCircle"===u.csnames[a.args[0]].type};m.OtherPointOnCircle.updatePosition=function(a){var b=u.csnames[a.args[0]].antipodalPoint,b=g.normalizeMax(b);a.homog=w.withUsage(b,"Point")};m.PointOnSegment={};m.PointOnSegment.kind="P";m.PointOnSegment.signature=["S"];m.PointOnSegment.isMovable=!0;m.PointOnSegment.initialize=function(a){var b=m._helper.initializePoint(a);a=m.PointOnSegment.getParamForInput(a,b);Va(a)};m.PointOnSegment.getParamForInput= +function(a,b){var c=u.csnames[a.args[0]],d=c.homog,d=g.turnIntoCSList([d.value[0],d.value[1],l.zero]),e=g.sub(c.startpos,c.endpos),c=g.crossratio3(e,c.startpos,c.endpos,b,d);0>c.value.real&&(c=l.complex(0,c.value.imag));1<c.value.real&&(c=l.complex(1,c.value.imag));return c};m.PointOnSegment.getParamFromState=function(a){return wb()};m.PointOnSegment.putParamToState=function(a,b){Va(b)};m.PointOnSegment.updatePosition=function(a){var b=wb();Va(b);var c=u.csnames[a.args[0]],d=c.startpos,c=g.sub(c.endpos, +d),b=g.add(d,g.scalmult(b,c)),b=g.normalizeMax(b);a.homog=w.withUsage(b,"Point")};m.PointOnSegment.stateSize=2;m._helper.projectPointToCircle=function(a,b){var c=m._helper.CenterOfCircle(a.matrix),c=g.normalizeMax(c),c=g.normalizeMax(g.cross(b,c)),c=m._helper.IntersectLC(c,a.matrix),d=g.projectiveDistMinScal(b,c[0]),e=g.projectiveDistMinScal(b,c[1]);return d<e?c[0]:c[1]};m.PointOnArc={};m.PointOnArc.kind="P";m.PointOnArc.signature=["C"];m.PointOnArc.signatureConstraints=function(a){return u.csnames[a.args[0]].isArc}; +m.PointOnArc.isMovable=!0;m.PointOnArc.initialize=function(a){var b=m._helper.initializePoint(a);a=m.PointOnArc.getParamForInput(a,b);T(a)};m.PointOnArc.getParamForInput=function(a,b){var c=u.csnames[a.args[0]],d=m._helper.projectPointToCircle(c,b),c=g.normalizeMax(g.crossratio3harm(c.startPoint,c.endPoint,c.viaPoint,d,g.ii)),d=l.div(c.value[0],c.value[1]);0>d.value.real&&(c=-1>d.value.real?g.realVector([1,0]):g.realVector([0,1]));return c};m.PointOnArc.getParamFromState=function(a){return Z(2)}; +m.PointOnArc.putParamToState=function(a,b){T(b)};m.PointOnArc.updatePosition=function(a){var b=u.csnames[a.args[0]],c=b.startPoint,d=b.viaPoint,e=b.endPoint,f=g.ii,k=g.cross(c,f),d=g.cross(d,f),n=g.cross(e,f),n=g.turnIntoCSList([k,n]),k=g.transpose(n),n=g.conjugate(n),k=g.productMM(n,k),d=g.productMV(n,d),k=g.productMV(g.adjoint2(k),d),d=k.value[0],k=k.value[1],n=Z(2);T(n);c=g.normalizeMax(g.add(g.scalmult(l.mult(d,n.value[0]),c),g.scalmult(l.mult(k,n.value[1]),e)));b=m._helper.conicOtherIntersection(b.matrix, +f,c);a.homog=w.withUsage(b,"Point")};m.PointOnArc.stateSize=4;m._helper.CenterOfCircle=function(a){return g.turnIntoCSList([a.value[2].value[0],a.value[2].value[1],l.neg(a.value[0].value[0])])};m._helper.CenterOfConic=function(a){a=g.adjoint3(a);return{ctype:"list",value:[a.value[2].value[0],a.value[2].value[1],a.value[2].value[2]]}};m.CenterOfConic={};m.CenterOfConic.kind="P";m.CenterOfConic.signature=["C"];m.CenterOfConic.updatePosition=function(a){var b=m._helper.CenterOfConic(u.csnames[a.args[0]].matrix); +a.homog=b;a.homog=g.normalizeMax(a.homog);a.homog=w.withUsage(a.homog,"Point")};m._helper.CircleMP=function(a,b){var c=a.value[0],d=a.value[1],e=l.neg(a.value[2]),f=l.zero,c=g.turnIntoCSList([g.turnIntoCSList([e,f,c]),g.turnIntoCSList([f,e,d]),g.turnIntoCSList([c,d,f])]),e=w.mult(w.mult(b,c),b),d=w.mult(w.mult(b,g.fund),b),e=w.mult(e,g.fund),c=w.mult(d,c);return g.sub(e,c)};m.CircleMP={};m.CircleMP.kind="C";m.CircleMP.signature=["P","P"];m.CircleMP.updatePosition=function(a){a.matrix=m._helper.CircleMP(u.csnames[a.args[0]].homog, +u.csnames[a.args[1]].homog);a.matrix=g.normalizeMax(a.matrix);a.matrix=w.withUsage(a.matrix,"Circle")};m.CircleMr={};m.CircleMr.kind="C";m.CircleMr.signature=["P"];m.CircleMr.isMovable=!0;m.CircleMr.initialize=function(a){Va(l.real(a.radius))};m.CircleMr.getParamForInput=function(a,b,c){if("radius"===c)return b;a=u.csnames[a.args[0]].homog;a=g.normalizeZ(a);b=g.normalizeZ(b);b=g.sub(a,b);return b=g.abs(b)};m.CircleMr.getParamFromState=function(a){return wb()};m.CircleMr.putParamToState=function(a, +b){Va(b)};m.CircleMr.updatePosition=function(a){var b=wb();Va(b);var c=u.csnames[a.args[0]].homog,d=l.mult(c.value[2],b),d=l.mult(d,d);if(!l._helper.isFinite(d)&&!l._helper.isNaN(d))return g.fund;c=m._helper.ScaledCircleMrr(c,d);a.matrix=w.withUsage(c,"Circle");a.radius=b};m.CircleMr.stateSize=2;m.CircleMr.set_radius=function(a,b){"number"===b.ctype&&Ia(a,b,"radius")};m._helper.ScaledCircleMrr=function(a,b){var c=a.value[0],d=a.value[1],e=l.neg(a.value[2]),e=g.scalmult(e,g.turnIntoCSList([c,d,e])).value, +c=g.turnIntoCSList([c,d]),c=l.sub(g.scalproduct(c,c),b),e=m._helper.buildConicMatrix([e[2],l.zero,e[2],e[0],e[1],c]);return g.normalizeMax(e)};m.Compass={};m.Compass.kind="C";m.Compass.signature=["P","P","P"];m.Compass.updatePosition=function(a){var b=u.csnames[a.args[0]].homog,c=u.csnames[a.args[1]].homog,d=u.csnames[a.args[2]].homog,e=b.value[2],f=c.value[2],k=d.value[2],b=g.scalmult(l.mult(f,k),b),c=g.scalmult(l.mult(e,k),c),d=g.scalmult(l.mult(e,f),d),b=g.sub(c,b),d=m._helper.ScaledCircleMrr(d, +g.scalproduct(b,b));a.matrix=w.withUsage(d,"Circle")};m._helper.getConicType=function(a){if(1E-16>l.abs(g.det(a)).value.real)return"degenerate";var b=l.mult(a.value[0].value[0],a.value[1].value[1]),b=l.sub(b,l.pow(a.value[0].value[1],l.real(2))),b=b.value.real;return 1E-16>Math.abs(b)?"parabola":1E-16<b?"ellipsoid":"hyperbola"};m._helper.ConicBy5=function(a,b,c,d,e,f){a=g.turnIntoCSList([g.cross(c,d)]);var k=g.turnIntoCSList([g.cross(b,e)]);b=g.turnIntoCSList([g.cross(b,c)]);d=g.turnIntoCSList([g.cross(d, +e)]);return m._helper.conicFromTwoDegenerates(a,k,b,d,f)};m._helper.conicFromTwoDegenerates=function(a,b,c,d,e){a=w.mult(g.transpose(b),a);c=w.mult(g.transpose(d),c);a=g.add(a,g.transpose(a));c=g.add(c,g.transpose(c));d=w.mult(w.mult(e,a),e);e=w.mult(w.mult(e,c),e);c=w.mult(d,c);e=w.mult(e,a);return g.sub(c,e)};m.ConicBy5={};m.ConicBy5.kind="C";m.ConicBy5.signature=["P","P","P","P","P"];m.ConicBy5.updatePosition=function(a){var b=m._helper.ConicBy5(a,u.csnames[a.args[0]].homog,u.csnames[a.args[1]].homog, +u.csnames[a.args[2]].homog,u.csnames[a.args[3]].homog,u.csnames[a.args[4]].homog);a.matrix=b;a.matrix=g.normalizeMax(a.matrix);a.matrix=w.withUsage(a.matrix,"Conic")};m.FreeConic={};m.FreeConic.kind="C";m.FreeConic.signature=[];m.FreeConic.initialize=function(a){var b;b=a.pos?m._helper.inputConic(a.pos):g.zeromatrix(l.real(3),l.real(3));m.FreeConic.putParamToState(a,b)};m.FreeConic.getParamForInput=function(a,b,c){return g.normalizeMax(b)};m.FreeConic.getParamFromState=function(a){return m._helper.buildConicMatrix(Z(6).value)}; +m.FreeConic.putParamToState=function(a,b){for(var c=0;3>c;++c)for(var d=0;d<=c;++d)Va(b.value[c].value[d])};m.FreeConic.updatePosition=function(a){var b=Z(6);T(b);a.matrix=m._helper.buildConicMatrix(b.value);a.matrix=g.normalizeMax(a.matrix);a.matrix=w.withUsage(a.matrix,"Conic")};m.FreeConic.set_matrix=function(a,b){g._helper.isNumberMatrixMN(b,3,3)&&Ia(a,g.add(b,g.transpose(b)),"matrix")};m.FreeConic.stateSize=12;m._helper.buildConicMatrix=function(a){var b=a[1],c=a[2],d=a[3],e=a[4],f=a[5];return g.turnIntoCSList([g.turnIntoCSList([a[0], +b,d]),g.turnIntoCSList([b,c,e]),g.turnIntoCSList([d,e,f])])};m._helper.splitDegenConic=function(a){var b=g.adjoint3(a),c=0,d,e,f=l.abs2(b.value[0].value[0]).value.real;for(d=1;3>d;d++)e=l.abs2(b.value[d].value[d]).value.real,e>f&&(c=d,f=e);d=l.sqrt(l.mult(l.real(-1),b.value[c].value[c]));if(1E-16>l.abs2(d).value.real)return a=g.turnIntoCSList([l.zero,l.zero,l.zero]),[a,a];c=l.real(c+1);e=g.column(b,c);e=g.scaldiv(d,e);d=e.value[0];f=e.value[1];e=e.value[2];d=g.turnIntoCSList([g.turnIntoCSList([l.real(0), +e,l.mult(l.real(-1),f)]),g.turnIntoCSList([l.mult(l.real(-1),e),l.real(0),d]),g.turnIntoCSList([f,l.mult(l.real(-1),d),l.real(0)])]);a=g.add(a,d);var k=0;for(d=f=b=0;3>d;d++)for(c=0;3>c;c++)e=l.abs2(a.value[d].value[c]).value.real,e>f&&(k=d,b=c,f=e);d=a.value[k];a=g.transpose(a);a=a.value[b];d=g.normalizeMax(d);a=g.normalizeMax(a);d=w.withUsage(d,"Line");a=w.withUsage(a,"Line");return[d,a]};m._helper.inputConic=function(a){var b="xx xy yy xz yz zz".split(" ").map(function(b){var d=l._helper.input(a[b]); +b[0]!==b[1]&&(d=l.realmult(.5,d));return d});return m._helper.buildConicMatrix(b)};m.SelectConic={};m.SelectConic.kind="C";m.SelectConic.signature=["Cs"];m.SelectConic.initialize=function(a){if(void 0!==a.index)return a.index-1;var b=m._helper.inputConic(a.pos);a=u.csnames[a.args[0]].results;for(var c=g.conicDist(b,a[0]),d=0,e=1;e<a.length;++e){var f=g.conicDist(b,a[e]);f<c&&(c=f,d=e)}return d};m.SelectConic.updatePosition=function(a){a.matrix=u.csnames[a.args[0]].results[a.param];a.matrix=g.normalizeMax(a.matrix); +a.matrix=w.withUsage(a.matrix,"Conic")};m._helper.ConicBy4p1l=function(a,b,c,d,e,f){var k=g.scalproduct(b,f),n=g.scalproduct(c,f),p=g.scalproduct(d,f),q=g.scalproduct(e,f),t=g.det3(c,d,e),u=g.det3(b,c,e),v=g.det3(b,d,e),w=g.det3(b,c,d),x=l.mult,n=l.sqrt(x(x(n,q),x(t,u))),k=l.sqrt(x(x(k,p),x(v,w))),p=g.cross(g.cross(b,d),f);f=g.cross(g.cross(c,e),f);p=g.scalmult(n,p);k=g.scalmult(k,f);f=g.normalizeMax(g.add(p,k));k=g.normalizeMax(g.sub(p,k));k=Na(f,k);f=m._helper.ConicBy5(a,b,c,d,e,k.value[0]);a=m._helper.ConicBy5(a, +b,c,d,e,k.value[1]);return[g.normalizeMax(f),g.normalizeMax(a)]};m.ConicBy4p1l={};m.ConicBy4p1l.kind="Cs";m.ConicBy4p1l.signature=["P","P","P","P","L"];m.ConicBy4p1l.updatePosition=function(a){var b=m._helper.ConicBy4p1l(a,u.csnames[a.args[0]].homog,u.csnames[a.args[1]].homog,u.csnames[a.args[2]].homog,u.csnames[a.args[3]].homog,u.csnames[a.args[4]].homog);a.results=b};m.ConicBy4p1l.stateSize=Na.stateSize;m._helper.ConicBy3p2l=function(a,b,c,d,e){function f(a,b,c,d){return l.sub(l.mult(a,d),l.mult(b, +c))}var k=g.cross(a,b),m=g.cross(d,e);d=g.cross(d,k);e=g.cross(e,k);k=g.turnIntoCSList([d,e,m]);c=g.productVM(c,g.adjoint3(k));m=g.adjoint3(g.turnIntoCSList([g.scalmult(c.value[0],d),g.scalmult(c.value[1],e),g.scalmult(c.value[2],m)]));c=g.transpose(m);d=l.mult;e=g.productMV(c,a);a=e.value[0];e=e.value[1];k=g.productMV(c,b);b=k.value[0];var k=k.value[1],n=l.sqrt(d(a,e)),p=l.sqrt(d(b,k)),q,t=Array(4);for(q=0;4>q;++q){var u=(q&2)-1,v=d(l.real(((q&1)<<1)-1),n),w=d(l.real(u),p),x=f(e,v,k,w),y=f(b,w,a, +v),u=f(a,e,b,k),z=l.add(l.add(f(b,k,a,e),f(k,w,e,v)),f(w,b,v,a)),v=d(x,x),w=d(y,y),A=d(z,z),B=d(x,y),x=d(x,z),y=d(y,z),B=l.sub(B,d(l.real(.5),d(u,u))),u=g.turnIntoCSList([g.turnIntoCSList([v,B,x]),g.turnIntoCSList([B,w,y]),g.turnIntoCSList([x,y,A])]),u=g.productMM(m,g.productMM(u,c)),u=g.turnIntoCSList([u.value[0].value[0],u.value[0].value[1],u.value[0].value[2],u.value[1].value[1],u.value[1].value[2],u.value[2].value[2]]);t[q]=u}return t};m.ConicBy3p2l={};m.ConicBy3p2l.kind="Cs";m.ConicBy3p2l.signature= +["P","P","P","L","L"];m.ConicBy3p2l.updatePosition=function(a){for(var b=m._helper.ConicBy3p2l(u.csnames[a.args[0]].homog,u.csnames[a.args[1]].homog,u.csnames[a.args[2]].homog,u.csnames[a.args[3]].homog,u.csnames[a.args[4]].homog),b=Bd(b),c=Array(4),d=0;4>d;++d){var e=b[d].value;c[d]=g.turnIntoCSList([g.turnIntoCSList([e[0],e[1],e[2]]),g.turnIntoCSList([e[1],e[3],e[4]]),g.turnIntoCSList([e[2],e[4],e[5]])])}a.results=c};m.ConicBy3p2l.stateSize=48;m.ConicBy2p3l={};m.ConicBy2p3l.kind="Cs";m.ConicBy2p3l.signature= +["P","P","L","L","L"];m.ConicBy2p3l.updatePosition=function(a){for(var b=m._helper.ConicBy3p2l(u.csnames[a.args[2]].homog,u.csnames[a.args[3]].homog,u.csnames[a.args[4]].homog,u.csnames[a.args[0]].homog,u.csnames[a.args[1]].homog),b=Bd(b),c=Array(4),d=0;4>d;++d){var e=b[d].value,e=g.turnIntoCSList([g.turnIntoCSList([e[0],e[1],e[2]]),g.turnIntoCSList([e[1],e[3],e[4]]),g.turnIntoCSList([e[2],e[4],e[5]])]);c[d]=g.normalizeMax(g.adjoint3(e))}a.results=c};m.ConicBy2p3l.stateSize=48;m.ConicBy1p4l={};m.ConicBy1p4l.kind= +"Cs";m.ConicBy1p4l.signature=["P","L","L","L","L"];m.ConicBy1p4l.updatePosition=function(a){var b=m._helper.ConicBy4p1l(a,u.csnames[a.args[1]].homog,u.csnames[a.args[2]].homog,u.csnames[a.args[3]].homog,u.csnames[a.args[4]].homog,u.csnames[a.args[0]].homog),c=b[0],b=b[1],c=g.adjoint3(c),b=g.adjoint3(b),b=[c,b];a.results=b};m.ConicBy1p4l.stateSize=Na.stateSize;m.ConicParabolaPL={};m.ConicParabolaPL.kind="C";m.ConicParabolaPL.signature=["P","L"];m.ConicParabolaPL.updatePosition=function(a){var b=u.csnames[a.args[0]].homog.value, 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b=u.csnames[a.args[0]],c=u.csnames[a.args[1]].homog, +d=function(){var a=g.realVector([Math.random()-.5,Math.random()-.5,Math.random()-.5]);return g.normalizeMax(a)},e=g.cross(d(),c),f=g.cross(d(),c),c=g.cross(d(),c),e=m._helper.TrMoebiusP(e,b),f=m._helper.TrMoebiusP(f,b),b=m._helper.TrMoebiusP(c,b);a.matrix=g.normalizeMax(m._helper.ConicBy5(null,e,f,b,g.ii,g.jj));a.matrix=w.withUsage(a.matrix,"Circle")};m.TrMoebiusS={};m.TrMoebiusS.kind="C";m.TrMoebiusS.signature=["Mt","S"];m.TrMoebiusS.updatePosition=function(a){var b=u.csnames[a.args[0]],c=u.csnames[a.args[1]], 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b=u.csnames[a.args[0]].homog,c=u.csnames[a.args[1]].homog, +d=g.cross(b,c).value,b=l.mult(b.value[2],c.value[2]),c=g.turnIntoCSList,e=l.neg,f=l.zero,d=c([c([b,f,d[1]]),c([f,b,e(d[0])]),c([f,f,b])]),d=g.normalizeMax(d);a.matrix=d;b=e(d.value[0].value[0]);d=c([c([b,f,f]),c([f,b,f]),c([d.value[0].value[2],d.value[1].value[2],b])]);a.dualMatrix=d};m.TrReflectionP={};m.TrReflectionP.kind="Tr";m.TrReflectionP.signature=["P"];m.TrReflectionP.updatePosition=function(a){var b=u.csnames[a.args[0]].homog.value,c=l.realmult(-.5,b[2]),d=l.zero,b=g.turnIntoCSList([g.turnIntoCSList([c, +d,b[0]]),g.turnIntoCSList([d,c,b[1]]),g.turnIntoCSList([d,d,l.neg(c)])]),b=g.normalizeMax(b);a.matrix=b;a.dualMatrix=g.transpose(b)};m.TrReflectionL={};m.TrReflectionL.kind="Tr";m.TrReflectionL.signature=["L"];m.TrReflectionL.updatePosition=function(a){var 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implemented yet"); +return[]},TrReflection:function(a){var b="TrReflection"+u.csnames[a.args[0]].kind;if(m.hasOwnProperty(b))return a.type=b,[a];console.log(b+" not implemented yet");return[]}},le="align alpha angle args arrow arrowposition arrowshape arrowsides arrowsize clip color dashtype drawtrace fillalpha fillcolor filled labeled labelpos name overhang pinned printname radius size text text_fontfamily textbold textitalics textsize tracedim tracelength traceskip tracing type visible".split(" ");oa.saveState=function(){return{geometry:me()}}; +var ra={},Jd,Ib,Kd,Ld;Jd=[[],[.2],[.075,.225],[44/45,-56/15,32/9],[19372/6561,-25360/2187,64448/6561,-212/729],[9017/3168,-355/33,46732/5247,49/176,-5103/18656],[35/384,0,500/1113,125/192,-2187/6784,11/84]];Ib=[0,.2,.3,.8,8/9,1,1];Kd=[35/384,0,500/1113,125/192,-2187/6784,11/84,0];Ld=[5179/57600,0,7571/16695,.6140625,-92097/339200,187/2100,.025];var Ba,ga=[],zc=[],ic=!1;ra.tick=function(a){a/=Mb;for(var 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b=function(a){Ba.forEach(function(b){O[b.type].initRK(b,a);O[b.type].storePosition(b)})},c=function(a){Ba.forEach(function(b){O[b.type].setToTimestep(b,Ib[a])})},d=function(a){Ba.forEach(function(b){O[b.type].proceedMotion(b,Ib[a],a,Jd[a])})},e=function(){Ba.forEach(function(a){O[a.type].resetForces(a)})},f=function(a){Ba.forEach(function(b){O[b.type].calculateDelta(b,a)})},g=function(b){var c=0;Ba.forEach(function(a){O[a.type].proceedMotion(a,Ib[6],7,Kd);O[a.type].savePos(a,8); +O[a.type].proceedMotion(a,Ib[6],7,Ld);O[a.type].savePos(a,9);c+=O[a.type].sqDist(a,8,9)});return c=Math.sqrt(c)/a},k=function(a){Ba.forEach(function(a){O[a.type].recallPosition(a)})},l=!1;!l;){b(a);for(var m=0;7>m;m++)c(m),d(m),e(),ra.calculateForces(),f(m);g(a)>O.env.errorbound&&a>O.env.lowestdeltat?(a/=O.env.slowdownfactor,k()):l=!0}return a};var O={Mass:{reset:function(a,b){a.vel=[0,0,0];a.pos=[0,0,0,0];a.el=b;"undefined"===typeof a.mass&&(a.mass=1);"undefined"===typeof a.charge&&(a.charge=0); 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c=u.csnames[a.geo[1]];a=D.extractPoint(c.homog);c=c.behavior;a=g.realVector([a.x+c.vx,a.y+c.vy,1]); +Ia(b,a,"homog")}},proceedMotion:function(a,b,c,d){},calculateForces:function(a){},calculateDelta:function(a,b){},savePos:function(a,b){},restorePos:function(a,b){},sqDist:function(a,b,c){return 0},kineticEnergy:function(a){},storePosition:function(a){},recallPosition:function(a){},doCollisions:function(a){}},Gravity:{reset:function(a,b){a.vel=[0,0,0];a.pos=[0,0,0,0];a.el=b;"undefined"===typeof a.strength&&(a.strength=1);a.namea=b.args[0];a.nameb=b.args[1];a.ma=u.csnames[a.namea];a.mb=u.csnames[a.nameb]}, +resetForces:function(a){},getBlock:!1,setToTimestep:function(a,b,c){},initRK:function(a,b){},setVelocity:function(a,b,c,d){},move:function(a){},proceedMotion:function(a,b,c,d){},calculateDelta:function(a,b){},calculateForces:function(a){var 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a.springstrength&&(a.springstrength=1);"undefined"!==typeof a.accuracy&& +(Mb=a.accuracy);"undefined"!==typeof a.deltat&&sa(a.deltat/.6);"undefined"===typeof a.charges&&(a.charges=!1);"undefined"===typeof a.balls&&(a.balls=!1);"undefined"===typeof a.newton&&(a.newton=!1);"undefined"===typeof a.ballInteractionBoosting&&(a.ballInteractionBoosting=1);O.env=a;a.errorbound=.001;a.lowestdeltat=1E-7;a.slowdownfactor=2},reset:function(a){},resetForces:function(a){},getBlock:!1,setToTimestep:function(a,b,c){},initRK:function(a,b){},setVelocity:function(a,b,c,d){},move:function(a){}, +proceedMotion:function(a,b,c,d){},calculateForces:function(a){var b,c,d,e,f,g,k,l,m,n;if(a.newton)for(b=0;b<ga.length-1;b++)for(c=ga[b],d=c.behavior.x,e=c.behavior.y,f=b+1;f<ga.length;f++)g=ga[f],k=g.behavior.x,l=g.behavior.y,n=Math.sqrt((d-k)*(d-k)+(e-l)*(e-l)),k=(d-k)*c.behavior.mass*g.behavior.mass/(n*n*n),l=(e-l)*c.behavior.mass*g.behavior.mass/(n*n*n),c.behavior.fx-=k,c.behavior.fy-=l,g.behavior.fx+=k,g.behavior.fy+=l;if(a.charges)for(b=0;b<ga.length-1;b++)for(c=ga[b],d=c.behavior.x,e=c.behavior.y, +f=b+1;f<ga.length;f++)g=ga[f],k=g.behavior.x,l=g.behavior.y,n=Math.sqrt((d-k)*(d-k)+(e-l)*(e-l)),k=(d-k)*c.behavior.charge*g.behavior.charge/(n*n*n),l=(e-l)*c.behavior.charge*g.behavior.charge/(n*n*n),c.behavior.fx+=k,c.behavior.fy+=l,g.behavior.fx-=k,g.behavior.fy-=l;if(a.balls)for(b=0;b<ga.length-1;b++)if(c=ga[b],0!==c.behavior.radius)for(d=c.behavior.x,e=c.behavior.y,f=b+1;f<ga.length;f++)g=ga[f],0!==g.behavior.radius&&(k=g.behavior.x,l=g.behavior.y,m=c.behavior.radius+g.behavior.radius,n=Math.sqrt((d- +k)*(d-k)+(e-l)*(e-l)),0===a.ballInteractionBoosting?(k=(d-k)/(n*n*n)*(n>m?0:(n-m)*(n-m)),l=(e-l)/(n*n*n)*(n>m?0:(n-m)*(n-m))):1===a.ballInteractionBoosting?(k=(d-k)/(n*n*n*n)*(n>m?0:(n-m)*(n-m)),l=(e-l)/(n*n*n*n)*(n>m?0:(n-m)*(n-m))):(k=(d-k)/(n*n*n*n*n)*(n>m?0:(n-m)*(n-m)),l=(e-l)/(n*n*n*n*n)*(n>m?0:(n-m)*(n-m))),c.behavior.fx+=k,c.behavior.fy+=l,g.behavior.fx-=k,g.behavior.fy-=l);for(b=0;b<ga.length;b++)c=ga[b],c.behavior.fx+=0,c.behavior.fy+=-a.gravity*c.behavior.mass,c.behavior.fz+=0},calculateDelta:function(a, +b){},savePos:function(a,b){},restorePos:function(a,b){},sqDist:function(a,b,c){return 0},kineticEnergy:function(a){},storePosition:function(a){},recallPosition:function(a){},doCollisions:function(a){}}};return oa};return E}(),createCindy=CindyJS;"undefined"!==typeof process&&"undefined"!==typeof module&&"undefined"!==typeof module.exports&&"undefined"===typeof window&&(module.exports=CindyJS); +//# sourceMappingURL=Cindy.js.map diff --git a/Master/texmf-dist/doc/support/ketcindy/CindyJS/CindyJS.css b/Master/texmf-dist/doc/support/ketcindy/CindyJS/CindyJS.css new file mode 100644 index 00000000000..2fdefb34c40 --- /dev/null +++ b/Master/texmf-dist/doc/support/ketcindy/CindyJS/CindyJS.css @@ -0,0 +1,121 @@ +.CindyJS-toolbar button, .CindyJS-animbuttons button, .CindyJS-button button, .CindyJS-button label { + background-color: #bfc4d0; + border: 1px solid #d0d0d0; + box-shadow: inset 1px 1px 2px #fff, inset -1px -1px 2px #aaa; + outline: none; } + +.CindyJS-toolbar button:active, .CindyJS-animbuttons button:active, .CindyJS-toolbar button.CindyJS-active, .CindyJS-animbuttons button.CindyJS-active, .CindyJS-button button:active, .CindyJS-button label:active, .CindyJS-button input[type=checkbox]:checked + label { + background-color: #aaafbb; + box-shadow: inset 1px 1px 2px #999, inset -1px -1px 2px #ccc; } + +.CindyJS-toolbar, .CindyJS-animbuttons { + line-height: 0px; } + .CindyJS-toolbar button, .CindyJS-animbuttons button { + display: inline-block; + margin: 0px; + padding: 0px; } + .CindyJS-toolbar button:focus, .CindyJS-animbuttons button:focus { + border-color: #06f; } + .CindyJS-toolbar img, .CindyJS-animbuttons img { + margin: 0px; + border: none; + display: block; } + +.CindyJS-widget { + overflow: hidden; + z-index: 0; } + .CindyJS-widget canvas { + z-index: 1; } + .CindyJS-widget .CindyJS-baseline { + margin: 0px; + padding: 0px; + border: none; + position: absolute; + white-space: nowrap; + margin-top: -1000px; } + .CindyJS-widget .CindyJS-baseline > img { + margin: 0px; + padding: 0px; + border: none; + display: inline; + position: static; + vertical-align: baseline; + visibility: hidden; + margin-right: -1px; } + .CindyJS-widget .CindyJS-baseline .CindyJS-button { + display: inline-block; } + .CindyJS-widget .CindyJS-button { + position: relative; + z-index: 2; } + .CindyJS-widget .CindyJS-toolbar, .CindyJS-widget .CindyJS-animbuttons { + position: absolute; } + .CindyJS-widget .CindyJS-toolbar button, .CindyJS-widget .CindyJS-animbuttons button { + position: relative; + z-index: 3; } + .CindyJS-widget .CindyJS-animspeed { + position: relative; + z-index: 3; } + .CindyJS-widget .CindyJS-animcontrols { + bottom: 5px; + left: 5px; } + +.CindyJS-button input[type=checkbox] { + position: absolute; + left: -10000px; } + +.CindyJS-button button, .CindyJS-button label { + margin: -6px -7px; + padding: 5px 6px; + border-radius: 4px; } + +.CindyJS-button button:focus, .CindyJS-button input[type=checkbox]:focus + label { + box-shadow: 0px 0px 3px #06f, inset 1px 1px 2px #fff, inset -1px -1px 2px #aaa; } + +.CindyJS-button button:focus:active, .CindyJS-button input[type=checkbox]:focus:checked + label { + background-color: #aaafbb; + box-shadow: 0px 0px 3px #06f, inset 1px 1px 2px #999, inset -1px -1px 2px #ccc; } + +.CindyJS-editabletext { + border: 1px solid #000; + margin: -4px -4px -1px; + padding: 4px 4px 1px; } + .CindyJS-editabletext:focus { + box-shadow: 0px 0px 3px #06f; } + +.CindyJS-toolbar div { + line-height: 0px; } + +.CindyJS-toolbar span.CindyJS-spacer { + display: inline-block; + margin: 0px; + padding: 1px; + width: 32px; + height: 24px; } + +.CindyJS-animcontrols { + position: absolute; + background-color: #00f; + height: 36px; + width: 102px; } + .CindyJS-animcontrols .CindyJS-animspeed { + height: 10px; + width: 100%; + border-radius: 4px; + background-color: #ff7f7f; + box-shadow: inset 1px 1px 2px #999, inset -1px -1px 2px #ccc; } + .CindyJS-animcontrols .CindyJS-animspeed div { + width: 50%; + height: 100%; + border-radius: 4px; + background-color: #cc0000; + box-shadow: inset 1px 1px 2px #fff, inset -1px -1px 2px #aaa; } + .CindyJS-animcontrols .CindyJS-animbuttons { + white-space: nowrap; } + +.CindyJS-animbuttons button { + border-radius: 4px; + width: 34px; + height: 26px; + box-sizing: border-box; } + +/*# sourceMappingURL=CindyJS.css.map */
\ No newline at end of file diff --git a/Master/texmf-dist/doc/support/ketcindy/CindyJS/ketcindylib.txt b/Master/texmf-dist/doc/support/ketcindy/CindyJS/ketcindylib.txt new file mode 100644 index 00000000000..72469da831a --- /dev/null +++ b/Master/texmf-dist/doc/support/ketcindy/CindyJS/ketcindylib.txt @@ -0,0 +1,6419 @@ +// 17.08.26 Slider +// 16.11.27 +Ketinit():=Ketinit(1); +Ketinit(sy):=Ketinit(sy,[-5,5],[-5,5]); +Ketinit(sy,rangex,rangey):=( + regional(pt,tmp,tmp1,tmp2); + PenThickInit=8; + ULEN="1cm"; + KETPICLAYER=20; + MilliIn=1/2.54*1000; + PenThick=round(MilliIn*0.02); + PenThickInit=PenThick; + TenSizeInit=0.02; + TenSize=TenSizeInit; + YaSize=1; YaAngle=18; YaPosition=1; + YaThick=1; YaStyle='tf'; + KETPICCOUNT=1; + KCOLOR=[0,0,0]; + GLIST=[]; + GCLIST=[]; +// GDATALIST=[]; + GOUTLIST=[]; + POUTLIST=[]; + VLIST=[]; + FUNLIST=[]; + LETTERlist=[]; + COM0thlist=[]; + COM1stlist=[]; + COM2ndlist=[]; + SCIWRLIST=[]; + SCIRELIST=[]; + ADDAXES="1"; + LFmark=unicode("000a"); + Dq=unicode("0022"); + WaitUnit=10; + CONTINUED=0; + OutComList=[]; + OutFileLIst=[]; // 15.10.22 + FigPdfList=[]; // 16.04.08 + ADDPACK=[]; // 16.05.16 + ErrFlag=0; + setdirectory(Dirwork); + if(isstring(Fhead), // 15.04.06 + Fnametex=Fhead+".tex"; + Fnamesci=Fhead+".sce"; + Fnamescibody=Fhead+"body.sce"; + Fnameout=Fhead+".txt"; + ); + if(!isstring(Mackc),// 16.06.07 + Mackc="sh"; + ); + ArrowlineNumber=1; // 15.01.05 + ArrowheadNumber=1; + BezierNumber=1; //15.01.03 + SCALEX=1; + SCALEY=sy; +// Setscaling(sy); + XMIN=rangex_1/SCALEX; + XMAX=rangex_2/SCALEX; + YMIN=rangey_1/SCALEY; + YMAX=rangey_2/SCALEY; + Setwindow("Msg=n"); // 16.05.31 +); + +DqDq(str):=unicode("0022")+str+unicode("0022"); + +Tab2list(dtstr):=Tab2list(dtstr,[]); +Tab2list(dtstr,options):=( +//help:Tab2list(datastr); +//help:Tab2list(options=[0]); + regional(dtall,dt,rep,out,crm,lfm,htm,first,tmp,tmp1,tmp2); + crm=unicode("000d"); + lfm=unicode("000a"); + htm=unicode("0009"); + rep=0; + if(length(options)>0,rep=options_1); + first=lfm; // 16.09.05from + if(indexof(dtstr,crm)>0, + first=crm; + if(indexof(dtstr,crm+lfm)>0, + first=first+lfm; + ); // 16.09.05upto + ); + tmp1=Indexall(dtstr,first); + tmp1=prepend(0,tmp1); + tmp1=append(tmp1,length(dtstr)); + dtall=[]; + forall(1..(length(tmp1)-1), + tmp=substring(dtstr,tmp1_#,tmp1_(#+1)-1); + if(length(tmp)>0, + dtall=append(dtall,tmp); + ); + ); + out=[]; + forall(dtall,dt, + tmp1=tokenize(dt,unicode("0009")); + tmp2=[]; + forall(tmp1, + if(isstring(#),tmp=parse(#),tmp=#); + if(!isreal(tmp), + if(length(#)>0,tmp=#,tmp=rep); + ); + tmp2=append(tmp2,tmp); + ); + out=append(out,tmp2); + ); + out; +); + +Columnlist(dt,list):=( // 16.09.04 +//help:Columnlist(dt,1..3); + apply(dt,#_list); +); + +Dispmat(dt):=( // 16.09.16 +//help:Dispmat(dt); + regional(htm,crm,lfm,row,tmp,tmp1,tmp2); + htm=unicode("0009"); + crm=unicode("000d"); + lfm=unicode("000a"); + tmp2=""; + forall(dt,row, + tmp1=""; + forall(row, + if(isstring(#), + tmp1=tmp1+#+htm; + , + tmp1=tmp1+text(#)+htm; + ); + ); + tmp1=substring(tmp1,0,length(tmp1)-1); + tmp1=tmp1+lfm; + tmp2=tmp2+tmp1; + ); + print(tmp2); + println(); +); + +norm(v1):=( // 16.09.01 +//help:norm([2,1,3]); + regional(out,tmp,tmp1,tmp2); + out=0; + forall(1..length(v1), + out=out+(v1_#)^2; + ); + out=sqrt(out); + out; +); +norm(v1,v2):=( + norm(v2-v1); +); + +// 16.03.28 +Removespace(str):=( +//help:Removespace(" a b c "); + regional(tmp,flg,out); + tmp=length(str)+1; + flg=0; + forall(1..length(str), + if(flg==0, + if((str_#)!=" ", + tmp=#; + flg=1; + ); + ); + ); + out=substring(str,tmp-1,length(str)); + flg=0; + tmp=0; + forall(reverse(1..length(out)), + if(flg==0, + if((out_#)!=" ", + tmp=#; + flg=1; + ); + ); + ); + out=substring(out,0,tmp); +); + +Indexall(str,key):=( + regional(rest,out,flg,tmp,tmp1,); + out=[]; + rest=str; + flg=0; + forall(1..length(str), + if(flg==0, + tmp=indexof(rest,key); + if(tmp>0, + tmp1=tmp+length(str)-length(rest); + out=append(out,tmp1); + rest=substring(rest,tmp,length(rest)); + , + flg=1; + ); + ); + ); + out; +); + +Changestyle(nameL,style):=( +//help:Changestyle(["sgAB"],["da"]); + regional(nmL,name,Ltype,Ltypeorg,Noflg,opcindy,tmp); + tmp=Divoptions(style); + Ltypeorg=tmp_1; + Noflg=tmp_2; + opcindy=tmp_(length(tmp)); + if(islist(nameL),nmL=nameL,nmL=[nameL]); + forall(nmL,name, + Ltype=Ltypeorg; + GCLIST=select(GCLIST,#_1!=name); + COM2ndlist=select(COM2ndlist,indexof(#,"("+name)==0); // 15.05.23 + if(Noflg<2, + if(isstring(Ltype), + Ltype=GetLinestyle(text(Noflg)+Ltype,name); + , + if(Noflg==1,Ltype=0); + ); + GCLIST=append(GCLIST,[name,Ltype,opcindy]); + ); + ); +); + +Op(n,object):=( // 16.05.25 +//help:Op(4,[1,2,3,4]); +//help:Op(3,"abcd"); + regional(out); + if(islist(object), + out=object_n; + , + if(isstring(object), + out=substring(object,n-1,n); + ); + ); + out; +); + +Toupper(str):=( + regional(alphabet,out,tmp,tmp1); + alphabet="abcdefghijklmnopqrstuvwxyz"; + out=""; + forall(1..length(str), + tmp=substring(str,#-1,#); + tmp1=indexof(alphabet,tmp); + if(tmp1>0, + out=out+unicode(text(tmp1+64),base->10); + , + out=out+tmp; + ); + ); + out; +); + +Textformat(value,dig):=( +//help:Textformat(2/3,4); +//help:Textformat([gr1,gr2],5); + regional(vv,tmp,tmp1); + if(islist(value), + tmp1="["; + forall(value, + tmp1=tmp1+Textformat(#,dig)+","; + ); + tmp1=substring(tmp1,0,length(tmp1)-1)+"]"; + , + if(ispoint(value) % isstring(value), +// vv=Lcrd(value); +// tmp1=Textformat(vv,dig); +// tmp1=text(value); // 15.04.07 + if(isstring(value),tmp1=Dq+value+Dq,tmp1=text(value)); // 15.10.02 + , + tmp1=format(value,dig); + ); + ); + tmp1; +); + +Sprintf(value,dig):=( +//help:Sprintf(5.1,4); + regional(vv,tmp,tmp1); + if(!islist(value), + vv=Textformat(value,dig); + if(indexof(vv,".")==0,vv=vv+"."); + vv=vv+"0000000000000000"; + tmp=indexof(vv,".")+dig; + vv=substring(vv,0,tmp); + , + vv=apply(value,Sprintf(#,dig)); + ); + vv; +); + +Assign(funstr,vrL):=( + regional(nn,out,tmp,tmp1); + nn=length(vrL)/2; + out=funstr; + forall(1..nn, + out=Assign(out,vrL_(2*#-1),vrL_(2*#)); + ); + out; +); + +Assign(funstr,varname,rep):=( +//help:Assign("x^2+a*x","a",1.3); +//help:Assign("a*x^2+b*x",["a",1,"b",2]); + regional(repstr,ii,jj,tmp,tmp1,tmp2,Notvar,Flg); + if(isstring(rep),repstr=rep,repstr="("+Textformat(rep,5)+")"); // 15.02.09, 07.06 + tmp=[46]; // 12.20 + tmp=concat(tmp,48..57); + tmp=concat(tmp,65..90); + tmp=concat(tmp,97..122); + Notvar=apply(tmp,unicode(text(#),base->10)); + tmp2=""; + forall(1..100, + ii=indexof(funstr,varname); + if(ii>0, + Flg=0; + if(ii>1, + tmp=substring(funstr,ii-2,ii-1); + if(contains(Notvar,tmp), + tmp2=tmp2+substring(funstr,0,ii); + funstr=substring(funstr,ii,length(funstr)); + Flg=1; + ); + ); + if(Flg==0, + jj=ii-1+length(varname); + if(jj<length(funstr), + tmp=substring(funstr,jj,jj+1)); + if(contains(Notvar,tmp), + tmp2=tmp2+substring(funstr,0,jj); + funstr=substring(funstr,jj,length(funstr)); + Flg=1; + ); + ); + if(Flg==0, + tmp2=tmp2+substring(funstr,0,ii-1)+repstr; + funstr=substring(funstr,jj,length(funstr)); + ); + ); + ); + funstr=tmp2+funstr; + funstr; +); + +MeasureDepth(list):=( + regional(tmp,Depth,Flg); + Flg=0; + Depth=0; + if(ispoint(list), // 15.01.22 + Depth=0; + Flg=1; + , + tmp=list_1; + ); + repeat(4, + if(Flg==0, + if(islist(tmp), + tmp=tmp_1; + Depth=Depth+1; + , + if(ispoint(tmp),Depth=Depth+1); + Flg=1; + ); + ); + ); + Depth; +); + +Flattenlist(pltlist):=( +//help:Flattenlist([[2,3],[[1,2],[5,6]]]); + regional(Out,nn,Dt,ii,tmp,flg); + Out=[]; + if(MeasureDepth(pltlist)==1, + Out=[pltlist]; + , + forall(1..length(pltlist),nn, + Dt=pltlist_nn; + if(MeasureDepth(Dt)<2, + Out=append(Out,Dt); + , + forall(1..length(Dt),ii, + tmp=Flattenlist(Dt_ii); + Out=concat(Out,tmp); + ); + ); + ); + ); + Out; +); + +Divoptions(options):=( +//help:Divoptions(options); + regional(Ltype,Noflg,Inflg,Outflg,eqL,realL,strL,opstr,opcindy,flg,tmp,tmp1); + Ltype="dr"; // 2015.01.13 + Noflg=0; + Inflg=0; + Outflg=0; + eqL=[]; + realL=[]; + strL=[]; + opstr=""; + opcindy=""; + forall(options, + flg=0; + if(flg==0, + if(isreal(#) % ispoint(#) % islist(#), + realL=append(realL,#); + opstr=opstr+","+text(#); + flg=1; + ); + ); + if(flg==0, + if(indexof(#,"=")>0, + eqL=append(eqL,#); + flg=1; + ); + ); + if(flg==0, + if(indexof(#,"no")+indexof(#,"No")>0, + if(indexof(#,"tex")>0,Noflg=1); + if(indexof(#,"disp")>0,Noflg=2); + if(indexof(#,"data")>0,Noflg=3); + flg=1; + ); + ); + if(flg==0, + if(indexof(#,"->")>0, + opcindy=opcindy+","+#; + flg=1; + ); + ); + if(flg==0, + if(indexof(#,"out")+indexof(#,"Out")>0, + if(indexof(#,"-")==0, + Outflg=1; + , + Outflg=2; + ); + flg=1; + ); + ); + if(flg==0, + if(indexof(#,"in")+indexof(#,"In")>0, + if(indexof(#,"-")==0, + Inflg=1; + , + Inflg=2; + ); + flg=1; + ); + ); + if(flg==0, + tmp=substring(#,0,2); + tmp1=indexof(tmp,"dr")+indexof(tmp,"Dr"); + tmp1=tmp1+indexof(tmp,"da")+indexof(tmp,"Da"); + tmp1=tmp1+indexof(tmp,"id")+indexof(tmp,"Id"); + tmp1=tmp1+indexof(tmp,"do")+indexof(tmp,"Do"); + tmp1=tmp1+indexof(tmp,"dp")+indexof(tmp,"Dp"); + if(tmp1>0, + Ltype=#; + flg=1; + ); + if(flg==0, + strL=append(strL,#); + opstr=opstr+","+Dq+#+Dq; + ); + ); + ); + if(indexof(opcindy,"color->")==0,// 16.10.07from + opcindy=opcindy+",color->[0,0,0]"; + ); + [Ltype,Noflg,Inflg,Outflg,eqL,realL,strL,opstr,opcindy]; +); + +Dotprod(vec1,vec2):=( +//help:Dotprod(vec1,vec2); + regional(v1,v2,tmp); + if(ispoint(vec1),v1=vec1.xy,v1=vec1); + if(ispoint(vec2),v2=vec2.xy,v2=vec2); + v1*v2; +); + +Crossprod(a,b):=( +//help:Crossprod(vec1,vec2); + regional(tmp1,tmp2,tmp3,Out); + if(length(a)==3, + tmp1=a_2*b_3-a_3*b_2; + tmp2=a_3*b_1-a_1*b_3; + tmp3=a_1*b_2-a_2*b_1; + Out=[tmp1,tmp2,tmp3]; + , + Out=a_1*b_2-a_2*b_1; + ); + Out; +); + +Ptstart(Fig):=( +//help:Ptstart("gr1"); + regional(tmp); + if(isstring(Fig),tmp=parse(Fig),tmp=Fig); // 16.01.21 + tmp_1; +); + +Ptend(Fig):=( +//help:Ptend("gr1"); + regional(tmp); + if(isstring(Fig),tmp=parse(Fig),tmp=Fig); + tmp_(length(tmp)); // 15.04.12 +); + +Numptcrv(Fig):=( +//help:Numptcrv("gr1"); + regional(tmp); + if(isstring(Fig),tmp=parse(Fig),tmp=Fig); // 15.12.23 + length(tmp); +); + +Ptcrv(Num,Fig):=( +//help:Ptcrv(10,"gr1"); + regional(tmp); + if(isstring(Fig),tmp=parse(Fig),tmp=Fig); + tmp_Num; +); + +Invert(Fig):=( +//help:Invert("gr1"); + regional(tmp); + if(isstring(Fig),tmp=parse(Fig),tmp=Fig); // 16.01.27 + reverse(tmp); +); +Invert(nm,Fig):=Invert(nm,Fig,["nodisp"]); // from 16.01.27 +Invert(nm,Fig,options):=( +//help:Invert("1","gr1"); + regional(name,tmp); + name="-inv"+nm; + tmp=Invert(Fig); + Listplot(name,tmp,options); +);// upto 16.01.27 + +Paramoncrv(pP,Gdata):=( + regional(Tmp,PtL); +// Eps=10^(-8); + if(isstring(Gdata),PtL=parse(Gdata),PtL=Gdata); + Tmp=Nearestpt(pP,PtL); + Tmp_2; +); + +ParamonCurve(pP,nN,plist):=( +//help:ParamonCurve(A,10,"gr1"); + regional(PtL,Out,Pa,Pb,vV,vW,sS); + if(isstring(plist),PtL=parse(plist),PtL=plist); + PtL=apply(PtL,LLcrd(#));//16.10.16 + if(nN==length(PtL), + Out=nN; + , + Pa=PtL_nN; + Pb=PtL_(nN+1); + vV=Pb-Pa; + vW=pP-Pa; + sS=vV*vW/|vV|^2; + sS=min([max([sS,0]),1]); + Out=nN+sS; + ); + Out; +); + +Pointoncrv(tT,PtL):=PointonCurve(tT,PtL); +PointonCurve(tT,Gdata):=( +//help:PointonCurve(20.5,"gr1"); + regional(Out,Eps,nN,sS,Pa,Pb,PtL); + if(isstring(Gdata),PtL=parse(Gdata),PtL=Gdata); + if(length(PtL)==1,PtL=PtL_1); + Eps=10^(-4); + nN=floor(tT+Eps); + sS=max([tT-nN,0]); + if(nN==length(PtL), + Out=PtL_nN; + , + Pa=PtL_nN; + Pb=PtL_(nN+1); + Out=(1-sS)*Pa+sS*Pb; + ); + Out; +); + +Koutenseg(pA,pB,pC,pD):=Koutenseg(pA,pB,pC,pD,[]); +Koutenseg(pA,pB,pC,pD,options):=( + regional(Eps0,Eps,Eps2,pV,Sv2,Out,pP,pQ,Flg,p1,p2,q1,q2, + em1,eM1,em2,eM2,rT,Tmp1,Tmp2); + Eps0=10^(-4); + pV=pB-pA; + Sv2=|pV|; + pP=pC-pA; pQ=pD-pA; + Eps=10^(-3); + Eps2=0.2; + Tmp1=0; + forall(options, + if(Tmp1==0, + Eps=#; + Tmp1=1; + , + Eps2=#; + ); + ); + Flg=0; + if(Sv2<10^(-3), + Out=["inf","inf"]; + Flg=1; + ); + if(Flg==0, + Eps=min([Eps2,Eps/Sv2]); + p1=pP*pV/Sv2^2; + p2=[pP_2,-pP_1]*pV/Sv2^2; + q1=pQ*pV/Sv2^2; + q2=[pQ_2,-pQ_1]*pV/Sv2^2; + em1=-Eps; eM1=1+Eps; + em2=-Eps; eM2=Eps; + if(max([p1,q1])<em1 % min([p1,q1])>eM1, + Out=["inf","inf"]; + Flg=1; + ); + if(max([p2,q2])<em2 % min([p2,q2])>eM2, + Out=["inf","inf"]; + Flg=1; + ); + ); + if(Flg==0 & p2*q2<0, + rT=p1-(q1-p1)/(q2-p2)*p2; + if(rT>em1 & rT<eM1, + if(rT>-Eps0 & rT<1+Eps0, + Tmp1=pA+rT*pV; + Tmp2=min([max([rT,0]),1]); + Out=[Tmp1,Tmp2,0]; + , + Tmp1=pA+rT*pV; + Tmp2=min([max([rT,0]),1]); + Out=[Tmp1,Tmp2,1]; + ); + Flg=1; + ); + if(Flg==0 & (p1<em1 % p1>eM1 % p2<em2 % p2>eM2), + if(q1<em1 % q1>eM1 % q2<em2 % q2>eM2, + Out=["inf","inf"]; + Flg=1; + ); + if(Flg==0, + rT=min([max([p1,0]),1]); + Tmp1=pA+rT*pV; + Out=[Tmp1,rT,1]; + Flg=1; + ); + ); + ); + if(Flg==0 & (p1 > -Eps0 & p1 < 1 + Eps0 & p2 > -Eps0 & p2 < Eps0), + rT= p1; + Tmp1=pA+rT*pV; + Out= [Tmp1, rT, 0]; + Flg=1; + ); + if(Flg==0 & (q1 > -Eps0 & q1 < 1 + Eps0 & q2 > -Eps0 & q2 < Eps0), + rT= q1; + Tmp1=pA+rT*pV; + Out=[Tmp1,rT,0]; + Flg=1; + ); + if(Flg==0 & (p1<em1 % p1>eM1 % p2<em2 % p2>eM2), + if(q1<em1 % q1>eM1 % q2<em2 % q2>eM2, + Out=["inf","inf"]; + Flg=1; + ); + if(Flg==0, + rT=min([max([q1,0]),1]); + Tmp1=pA+rT*pV; + Out=[Tmp1,rT,1]; + Flg=1; + ); + ); + if(Flg==0 & (q1<em1 % q1>eM1% q2<em2 % q2>eM2), + rT=min([max([p1,0]),1]); + Tmp1=pA+rT*pV; + Out=[Tmp1,rT,1]; + Flg=1; + ); + if(Flg==0, + if(abs(p2)<abs(q2), + rT=min([max([p1,0]),1]); + , + rT=min([max([q1,0]),1]); + ); + Tmp1=pA+rT*pV; + Out=[Tmp1,rT,1]; + ); + Out; +); + +IntersectcrvsPp(Gr1,Gr2):=IntersectcrvsPp(Gr1,Gr2,[]); +IntersectcrvsPp(Gr1,Gr2,options):=( +//help:IntersectcrvsPp("gr1","pa1"); + regional(Out,Eps,Eps2,Eps0,Flg,Data1,Data2, + Tmp1,Tmp2,Tmp3,Tmp,KL1,KL2,pA,pB,Ni,Nj, + pP,pQ,rT,Flg,eqL,realL,opstr,Dif); + Eps=10^(-4); + Eps2=0.1; + Dif=0.05; // 2015.05.31 + Flg=0; + Tmp1=Divoptions(options); // + eqL=Tmp1_5; + realL=Tmp1_6; + opstr=Tmp1_(length(Tmp1)); + forall(eqL, + if(substring(#,0,1)=="D", + Tmp1=indexof(#,"="); + Dif=parse(substring(#,Tmp1,length(#))); + ); + ); + Tmp1=length(realL); + if(Tmp1>0, + Eps=realL_1; + if(Tmp1>1, + Eps2=realL_2; + ); + ); + Flg=0; + if(isstring(Gr1),Data1=parse(Gr1),Data1=Gr1); + if(isstring(Gr2),Data2=parse(Gr2),Data2=Gr2); + if(MeasureDepth(Data1)==2,Data1=Data1_1); + if(MeasureDepth(Data2)==2,Data2=Data2_1); + Data1=apply(Data1,LLcrd(#)); + Data2=apply(Data2,LLcrd(#)); + if(length(Data1)==length(Data2), + Tmp1=Reverse(Data2); + Eps0=10^(-6); + Tmp2=0; + forall(1..length(Data1), + Tmp2=Tmp2+abs(Data1_#-Data2_#); + ); + Tmp3=0; + forall(1..length(Data1), + Tmp3=Tmp3+abs(Data1_#-Tmp1_#); + ); + if(Tmp2<Eps0 % Tmp3<Eps0, + Out=[]; + Flg=1; + ); + ); + if(Flg==0, + KL1=[]; + KL2=[]; + forall(1..(length(Data1)-1),Ni, + pA=Data1_Ni; + pB=Data1_(Ni+1); + forall(1..(length(Data2)-1), + pP=Data2_#; pQ=Data2_(#+1); + Tmp=Koutenseg(pA,pB,pP,pQ,[Eps,Eps2]); + if(Tmp!=["inf","inf"], + if(Tmp_3==0, + Tmp1=[Tmp_1,Tmp_2,Ni,#]; + KL1=concat(KL1,[Tmp1]); + , + Tmp2=[Tmp_1,Tmp_2,Ni,#]; + KL2=concat(KL2,[Tmp2]); + ); + ); + ); + ); + Out=[]; + if(length(KL1)>0, + Tmp=KL1_1; + pP=Tmp_1; + rT=Tmp_2; + Ni=Tmp_3; + Nj=Tmp_4; + Tmp=[pP,Ni+rT,Nj]; + Out=[Tmp]; + ); + forall(2..length(KL1),Ni, + Tmp=KL1_Ni; + pP=Tmp_1; + Tmp2=0; + Flg=0; + forall(1..length(Out),Nj, + if(Flg==0, + Tmp=Out_Nj; + if(|pP-Tmp_1|<Eps, + Tmp2=1; + Flg=1; + ); + ); + ); + if(Tmp2==0, + Tmp=KL1_Ni; + pP=Tmp_1; + rT=Tmp_2; + Tmp1=Tmp_3; + Tmp2=Tmp_4; + Tmp=[pP,Tmp1+rT,Tmp2]; + Out=concat(Out,[Tmp]); + ); + ); + forall(1..length(KL2),Ni, + Tmp=KL2_Ni; // 15.11.21 Usui + pP=Tmp_1; + Tmp2=0; + Flg=0; + forall(1..length(Out),Nj, + if(Flg==0, + Tmp=Out_Nj; + if(|pP-Tmp_1|<Eps, + Tmp2=1; + Flg=1; + ); + ); + ); + if(Tmp2==0, + Tmp=KL2_Ni; + rT=Tmp_2; + rT=min([max([rT,0]),1]); // 15.11.21 Usui + Tmp=[pP,Tmp_3+rT,Tmp_4]; + Out=concat(Out,[Tmp]); + ); + ); + ); + Tmp1=Out; // 15.04.06 from + Out=[]; + forall(Tmp1,Tmp2, + Tmp3=select(1..(length(Out)),|Out_#_1-Tmp2_1|<Dif);//16.11.27 + if(length(Tmp3)==0, + Out=append(Out,Tmp2); + , + forall(Tmp3,//16.11.27 + Out_#=(Out_#+Tmp2)/2; + ); + ); + ); // 15.04.06 upto + Out; +); + +Intersectcrvs(Gr1,Gr2):=Intersectcrvs(Gr1,Gr2,[]); +//help:Intersectcrvs("gr1","pa1"); +Intersectcrvs(Gr1,Gr2,options):=( + regional(tmp,tmp1,tmp2); + tmp1=IntersectcrvsPp(Gr1,Gr2,options); + apply(tmp1,#_1); +); + +NearestptcrvPhy(point,PL):=( + regional(tmp,pP,plist); + pP=Pcrd(point); + if(isstring(PL),plist=parse(PL),plist=PL); + if(MeasureDepth(plist)==2,plist=plist_1); + plist=apply(plist,#); // 14.12.18 + tmp=Nearestpt(pP,plist); + tmp=tmp_1; + [tmp_1/SCALEX,tmp_2/SCALEY]; +); + +Nearestptcrv(point,plist):=( +//help:Nearestptcrv(A,"gr1"); + regional(tmp); + tmp=Nearestpt(point,plist); + tmp_1; +); + +Nearestpt(point,PL2):=( + regional(PL1,PL,Ans,Flg,Eps,pA,Pm,Im,Sm,Nn,Ni, + a1,b1,a2,b2,v1,v2,x1,x2,Tmp,rT,pP,sS,Lm,Pm,Sm,Flg); +//help:Nearestpt("gr1","gr2"); + if(isstring(point),PL1=parse(point),PL1=point); + if(MeasureDepth(PL1)==2,PL1=PL1_1); + if(!islist(PL1_1), + PL1=[PL1]; + Flg=0; + , + Flg=1; + ); + if(isstring(PL2),PL=parse(PL2),PL=PL2); + if(MeasureDepth(PL)==2,PL=PL_1); + Eps=10^(-6); + Ans=[PL1_1,1,PL_1,1,|PL1_1-PL_1|]; + forall(1..length(PL1),Nn, // 16.05.04 + pA=PL1_Nn; + Pm=PL_1; + Im=1; + Sm=|Pm-pA|; + forall(1..(length(PL)-1),Ni, + a1=PL_Ni_1; a2=PL_Ni_2; + b1=PL_(Ni+1)_1; b2=PL_(Ni+1)_2; + v1=b1-a1; v2=b2-a2; + x1=pA_1; x2=pA_2; + Tmp=v2^2+v1^2; + if(abs(Tmp)>Eps, + rT=(-a2*v2-v1*a1+v1*x1+x2*v2)/Tmp; + if(rT<-Eps, + pP=[a1,a2]; + , + if(rT>1+Eps, + pP=[b1,b2]; + , + pP=[a1+rT*v1,a2+rT*v2]; + ); + ); + sS=|pP-pA|; + if(sS<Sm-Eps, + Tmp=ParamonCurve(pP,Ni,PL); + Pm=pP; Lm=Tmp; Sm=sS; + ); + ); + if(Sm<Ans_5, // 16.05.03from + Ans=[pA,Nn,Pm,Lm,Sm]; + ); + ); // 16.05.03upto + ); + if(Flg==0, + Ans=Ans_(3..5); + ); + Ans; +); + +Derivative(fun,var,value):=( +//help:Derivative("x^3","x",2); + regional(str,tmp); + str="d("; + str=str+replace(fun,var,"#")+","; + str=str+value+")"; + tmp=Pcrd([1,parse(str)]); // 14.11.08 + tmp_2; +); + +Integrate(pltdata,range):=Integrate(pltdata,range,[]); +Intergrate(Arg1,Arg2,Arg3):=( + regional(pltdata,range,options,fnstr,vartr); + if(islist(Arg2), + pltdata=Arg1; + range=Arg2; + options=Arg3; + Integrate(pltdata,range,options); + , + fnstr=Arg1; + vastr=Arg2; + range=Arg3; + Integrate(fnstr,vastr,range,[]); + ); +); + +Integrate(pltdata,range,options):=( +//help:Integrate("gr1",[1,3]); +//help:Integrate("gr1",[1,3],["Rule=t"]); + regional(tmp,tmp1,eqL,Rule,pdata,Sm,ptP,ptQ,list,va1,va2); + tmp=Divoptions(options); + eqL=tmp_5; + Rule="o"; + forall(eqL, + if(Toupper(substring(#,0,1))=="R", + tmp=indexof(#,"="); + Rule=substring(#,tmp,tmp+1); + ); + ); + if(Rule=="o", + Sm= IntegrateO(pltdata,range); + , + if(isstring(pltdata),pdata=parse(pltdata),pdata=pltdata); + if(MeasureDepth(pdata)==2,pdata=pdata_1); + va1=MeetCurve(pdata,range_1,0); + va2=MeetCurve(pdata,range_2,0); + list=select(pdata,(#_1>range_1 & #_1<range_2)); + list=apply(list,LLcrd(#)); // 15.09.14 + list=concat([va1],list); + list=concat(list,[va2]); + Sm=0; + forall(1..(length(list)-1), + ptP=list_#; // 15.09.14 + ptQ=list_(#+1); + Sm=Sm+(ptP_2+ptQ_2)*(ptQ_1-ptP_1)/2; + ); + Sm; + ); +); + +Integrate(fnstr,vastr,range,options):=( +//help:Integrate("sin(x)","x",[0,pi],["Num=100","Rule=s"]); + regional(tmp,tmp1,Sm,Lx,Rx,va1,va2,Num,Waysx,ex,dx,xn,yn,x0,x1,x2,y0,y1,y2); + Num=100; + Way="t"; + forall(options, + if(indexof(#,"=")>0, + if(indexof(#,"N=")>0, + Num=parse(substring(#,indexof(#,"="),length(#))); + ); + if(indexof(#,"Num=")>0, + Num=parse(substring(#,indexof(#,"="),length(#))); + ); + if(Toupper(substring(#,0,1))=="R", + tmp=indexof(#,"="); + Way=substring(#,tmp,tmp+1); + ); + ); + ); + Sm=0; + if(Way=="t", + forall(1..Num, + Lx=range_1+(range_2-range_1)*(#-1)/Num; + Rx=range_1+(range_2-range_1)*#/Num; + va1=parse(replace(fnstr,vastr,textformat(Lx,5))); + va2=parse(replace(fnstr,vastr,textformat(Rx,5))); + Sm=Sm+(va1+va2)*(Rx-Lx)/2; + ); + , + sx=range_1; + ex=range_2; + dx=(ex-sx)/Num; + xn=apply(0..Num,sx+#*dx); + yn=apply(xn,parse(replace(fnstr,vastr,textformat(#,5)))); + dx=dx/2; + repeat(Num,s, + x0=xn_s; + x1=(xn_s+xn_(s+1))/2; + x2=xn_(s+1); + y0=yn_s; + y1=parse(replace(fnstr,vastr,textformat(x1,5))); + y2=yn_(s+1); + Sm=Sm+dx*(y0+4*y1+y2)/3; + ); + ); + Sm; +); + +IntegrateO(p0org,p1org,p2org,p3org):=( + regional(p0,p1,p2,p3,pQ,pR,cc,p01,p02, + p11,p12,p21,p22,p31,p32, tmp); + if(ispoint(p0org),p0=p0org.xy,p0=p0org); // 16.03.10 + if(ispoint(p1org),p1=p1org.xy,p1=p1org); // 16.03.16 + if(ispoint(p2org),p2=p2org.xy,p2=p2org); + if(ispoint(p3org),p3=p3org.xy,p3=p3org); + tmp=1+sqrt((1+Dotprod(p2-p0,p3-p1)/|p2-p0|/|p3-p1|)/2); + cc=4*|p2-p1|/3/(|p2-p0|+|p3-p1|)/tmp; + pQ=p1+cc*(p2-p0); + pR=p2+cc*(p1-p3); + p01=p1_1; p02=p1_2; + p31=p2_1; p32=p2_2; + p11=pQ_1; p12=pQ_2; + p21=pR_1; p22=pR_2; + tmp=-6*p12*p01+3*p12*p21+3*p12*p31+6*p02*p11- + 10*p02*p01+3*p02*p21+p02*p31-3*p22*p11- + 3*p22*p01+6*p22*p31-3*p32*p11-p32*p01- + 6*p32*p21+10*p32*p31; + tmp=tmp/20; +); +IntegrateO(pltdata,rangeorg):=( +//help:IntegrateO("gr1",[0,2]); + regional(tmp,tmp1,tmp2,pdata,va1,va2,list,Bzk,Bzc,range,pmflg, + Sm,p0,p1,p2,p3,pQ,pR,cc,p01,p02,p11,p12,p21,p22,p31,p32); + if(isstring(pltdata),pdata=parse(pltdata),pdata=pltdata); + if(MeasureDepth(pdata)==2,pdata=pdata_1); + range=rangeorg; + pmflg=1; + if(range_2<range_1, + range=reverse(range); + pmflg=-1; + ); + va1=MeetCurve(pdata,range_1,0); + va2=MeetCurve(pdata,range_2,0); + list=select(pdata,(#_1>range_1 & #_1<range_2)); + if((length(list)>0) & (list_1_1>list_(length(list))_1), + list=reverse(list); +// pmflg=pmflg*(-1); + ); + list=apply(list,LLcrd(#)); + list=concat([va1],list); + list=concat(list,[va2]); + Sm=0; + forall(1..(length(list)-1), + p1=list_#; + p2=list_(#+1); + if(#==1 % #==length(list)-1, + tmp1=(p1_2+p2_2)*(p2_1-p1_1)/2; + Sm=Sm+tmp1; + , + p0=list_(#-1); + p3=list_(#+2); + tmp=1+sqrt((1+Dotprod(p2-p0,p3-p1)/|p2-p0|/|p3-p1|)/2); + cc=4*|p2-p1|/3/(|p2-p0|+|p3-p1|)/tmp; + pQ=p1+cc*(p2-p0); + pR=p2+cc*(p1-p3); + p01=p1_1; p02=p1_2; + p31=p2_1; p32=p2_2; + p11=pQ_1; p12=pQ_2; + p21=pR_1; p22=pR_2; + tmp1=-6*p12*p01+3*p12*p21+3*p12*p31+6*p02*p11- + 10*p02*p01+3*p02*p21+p02*p31-3*p22*p11- + 3*p22*p01+6*p22*p31-3*p32*p11-p32*p01- + 6*p32*p21+10*p32*p31; + tmp1=tmp1/20; + Sm=Sm+tmp1; + ); + ); + if(pmflg==-1, + Sm=-Sm; + ); + Sm; +); + +Findarea(pdstr):=( +//help:Findarea("sgABCA"); + regional(pd,p1,p2,s,tmp); + if(isstring(pdstr),pd=parse(pdstr),pd=pdstr); + s=0; + forall(1..(length(pd)-1), + p1=Lcrd(pd_#); + p2=Lcrd(pd_(#+1)); + tmp=(p1_2+p2_2)*(p2_1-p1_1)/2; + s=s+tmp; + ); + if(s<0,s=-s); + s; +); + +Findarea(pdstr):=( // 15.11.27 +//help:Findarea("cr1"); + regional(pd,p0,p1,p2,p3,s,tmp); + if(isstring(pdstr),pd=parse(pdstr),pd=pdstr); + s=0; + forall(1..(length(pd)-1), + p1=pd_#; + p2=pd_(#+1); + if(#==1,p0=pd_(length(pd)-1),p0=pd_(#-1)); + if(#==length(pd)-1,p3=pd_2,p3=pd_(#+2)); + tmp=IntegrateO(p0,p1,p2,p3); + s=s+tmp; + ); + if(s<0,s=-s); + s; +); + +Findlength(pdstr):=( +//help:Findlength("gr1"); + regional(pd,p1,p2,s,tmp); + if(isstring(pdstr),pd=parse(pdstr),pd=pdstr); + s=0; + forall(1..(length(pd)-1), + p1=Lcrd(pd_#); + p2=Lcrd(pd_(#+1)); + tmp=|p2-p1|; + s=s+tmp; + ); + s; +); + +Inversefun(fnstr,rngstr,value):=( + regional(tmp,varstr,range,x1,x2,x3,va1,va2); + tmp=indexof(rngstr,"="); + varstr=substring(rngstr,0,tmp-1); + range=parse(substring(rngstr,tmp,length(rngstr))); + x1=range_1; x2=range_2; + repeat(15, + x3=(x1+x2)/2; + va1=parse(replace(fnstr,varstr,textformat(x1,5))); + va2=parse(replace(fnstr,varstr,textformat(x3,5))); + if((va1>value & va2>value) % (va1<value & va2<value), + x1=x3; + , + x2=x3; + ); + ); + va1=parse(replace(fnstr,varstr,textformat(x1,5)))-value; + va2=parse(replace(fnstr,varstr,textformat(x2,5)))-value; + if(x1==range_1 % x2==range_2, + println("not found in ("+textformat(range_1,5) + +","+textformat(range_2,5)+")"); + ); + if(abs(va1)<=abs(va2),x1,x2); +); + +Lcrd(pt):=( + regional(tmp); + if(ispoint(pt), + tmp=[pt.x/SCALEX,pt.y/SCALEY]; + , + tmp=pt; + ); + tmp; +); + +Pcrd(pt):=( + regional(tmp); + if(ispoint(pt), + tmp=re(pt.xy); // 15.07.24 + , + tmp=[pt_1*SCALEX,pt_2*SCALEY]; + ); + tmp; +); + +LLcrd(pt):=( + regional(tmp); + if(ispoint(pt), + tmp=pt.xy + , + tmp=pt; + ); + tmp=[tmp_1/SCALEX,tmp_2/SCALEY]; + tmp; +); + +Doscaling(pltdata):=( + regional(Level,Out,gL,gr,tmp); + if(ispoint(pltdata) % isreal(pltdata_1), + gL=[[pltdata]]; + Level=0; + , + if(ispoint(pltdata_1) % isreal(pltdata_1_1), + gL=[pltdata]; + Level=1; + , + gL=pltdata; + Level=2; + ); + ); + Out=[]; + forall(gL,gr, + tmp=apply(gr,Lcrd(#)); + tmp=apply(tmp,LLcrd(#)); + Out=concat(Out,[tmp]); + ); + if(Level==0, + Out=Out_1_1; + ); + if(Level==1, + Out=Out_1; + ); + Out; +); + +Unscaling(pltdata):=( + regional(Level,Out,gL,gr,tmp); + if(ispoint(pltdata) % isreal(pltdata_1), + gL=[[pltdata]]; + Level=0; + , + if(ispoint(pltdata_1) % isreal(pltdata_1_1), + gL=[pltdata]; + Level=1; + , + gL=pltdata; + Level=2; + ); + ); + Out=[]; + forall(gL,gr, + tmp=apply(gr,Lcrd(#)); + tmp=apply(tmp,LLcrd(#)); + Out=concat(Out,[tmp]); + ); + if(Level==0, + Out=Out_1_1; + ); + if(Level==1, + Out=Out_1; + ); + Out; +); + +Definecolor(name,data):=( +//help:Definecolor("mycolor",[1,1,1,0]); + regional(type,tmp); + if(length(data)>3,type="cmyk",type="rgb"); + tmp=text(data); + tmp=substring(tmp,1,length(tmp)-1); + tmp="\definecolor{"+name+"}{"+type+"}{"+tmp+"}"; + Texcom(tmp); +); + +Setcolor(Par):=( +//help:Setcolor([1,0,0,1]); +//help:Setcolor([1,1,0]); + if(islist(Par), + if(length(Par)==3, + Setcolorrgb(Par); // 2015.04.28 +// KCOLOR=Par; + ); + if(length(Par)==4, + Setcolor(Par,[]); + ); + , + Setcolor(Par,[]); + ); +); + +Setcolor(colorname,options):=( +//help:Setcolor("greenyellow",0.3); + regional(tmp); + if(isstring(colorname), + tmp="Setcolor("+Dq+colorname+Dq; + if(length(options)>0, + tmp=tmp+","+text(options_1); + ); + Com2nd(tmp+")"); + ); + if(islist(colorname), + tmp=text(colorname); + tmp=substring(tmp,1,length(tmp)-1); + tmp="Texcom("+Dq+"\color[cmyk]{"+tmp+"}"+Dq+")"; + Com2nd(tmp); + ); +); + +Setcolorrgb(colorlist):=( +// help:Setcolorrgb([0.5,0.3,0.4]); + regional(tmp); + tmp=text(colorlist); + tmp=substring(tmp,1,length(tmp)-1); + tmp="Texcom("+Dq+"\color[rgb]{"+tmp+"}"+Dq+")"; + Com2nd(tmp); +); + +ColorRgb2Cmyk(clr):=( +// help:ColorRgb([0.2,0.5,0.1]); + regional(clrnew,tmp,black); + tmp=apply(clr,1-#); + black=min(tmp); + tmp=apply(clr,(1-#-black)/(1-black)); + clrnew=append(tmp,black); + clrnew; +); + +ColorCmyk2Rgb(clr):=( +// help:ColorRgb([0.2,0.5,0.1,0.2]); + regional(clrnew,tmp,black); + black=clr_4; + tmp=apply(clr,1-min(1,#*(1-black)+black)); + clrnew=tmp_(1..3); + clrnew; +); + +Colorrgbhsv(rgb):=( + regional(varR,varG,varB,varMin,varMax,delMax,hh,ss,vv,delR,delG,delB); + varR = rgb_1; + varG = rgb_2; + varB = rgb_3; + varMin = min( [varR, varG, varB] ); + varMax = max( [varR, varG, varB] ); + delMax = varMax - varMin ; + vv = varMax; + if ( delMax == 0 , + hh = 0 ; + ss = 0 ; + , + ss = delMax / varMax; + delR = ( ( ( varMax - varR ) / 6 ) + ( delMax / 2 ) ) / delMax; + delG = ( ( ( varMax - varG ) / 6 ) + ( delMax / 2 ) ) / delMax; + delB = ( ( ( varMax - varB ) / 6 ) + ( delMax / 2 ) ) / delMax; + if( varR == varMax , + hh = delB - delG; + , + if ( varG == varMax, + hh = ( 1 / 3 ) + delR - delB; + , + if ( varB == varMax , + hh = ( 2 / 3 ) + delG - delR; + ); + ); + ); + if ( hh < 0 ,hh = hh+1); + if ( hh > 1 ,hh = hh-1); + ); + [hh*360,ss,vv]; +); + +Colorhsvrgb(sL):=( + regional(tmp,tmp1,tmp2,tmp3,hi,ff,dL); + tmp=[sL_1/60,sL_2,sL_3]; + hi=mod(floor(tmp_1),6); + ff=tmp_1-floor(tmp_1); + tmp2=tmp_3*[1-tmp_2,1-tmp_2*ff,1-tmp_2*(1-ff)]; + tmp2=append(tmp2,tmp_3); + if(hi==0,dL=tmp2_[4,3,1]); + if(hi==1,dL=tmp2_[2,4,1]); + if(hi==2,dL=tmp2_[1,4,3]); + if(hi==3,dL=tmp2_[1,2,4]); + if(hi==4,dL=tmp2_[3,1,4]); + if(hi==5,dL=tmp2_[4,1,2]); + dL; +); + +Colorrgbhsl(rgb):=( + regional(rr,gg,bb,mn,mx,delta,deltaR,deltaG,deltaB,hh,ss,ll); + rr = rgb_1 ; + gg = rgb_2 ; + bb = rgb_3 ; + mn = min([rr, gg, bb]); + mx = max([rr, gg, bb]); + delta = mx - mn; + ll = (mx + mn) / 2; + if (delta == 0, + hh=0; + ss=0; + , + if (ll < 0.5, + ss = delta/ (mx + mn); + , + ss = delta / (2 - mx - mn); + ); + deltaR = (((mx - rr) / 6) + (delta / 2)) / delta; + deltaG = (((mx - gg) / 6) + (delta / 2)) / delta; + deltaB = (((mx - bb) / 6) + (delta / 2)) / delta; + if (rr == mx, + hh = deltaB - deltaG; + , + if (gg == mx, + hh = (1 / 3) + deltaR - deltaB; + , + if (bb == mx, + hh = (2 / 3) + deltaG - deltaR; + ); + ); + ); + if ( hh < 0, hh = hh+1); + if ( hh > 1, hh = hh-1); + ); + [hh*360,ss,ll]; +); + +Colorhslrgb(hsl):=( + regional(hh,ss,ll,rr,gg,bb,var1,var2); + hh=hsl_1/360; + ss=hsl_2; + ll=hsl_3; + if ( ss == 0.0, + rr = ll ; + gg = ll ; + bb = ll ; + , + if ( ll < 0.5 , + var2 = ll * ( 1.0 + ss ); + , + var2 = ( ll + ss ) - ( ss * ll ); + ); + var1 = 2.0 * ll - var2; + rr = hue2rgb( var1, var2, hh + ( 1.0 / 3.0 ) ); + gg = hue2rgb( var1, var2, hh ); + bb = hue2rgb( var1, var2, hh - ( 1.0 / 3.0 ) ); + ); + [rr,gg,bb]; +); + +hue2rgb(vv1,vv2,vh):=( + regional(out); + if ( vh < 0.0 ,vh =vh+1); + if ( vh > 1.0 ,vh =vh-1); + if ( 6.0*vh < 1.0 , + out = vv1 + ( vv2 - vv1 ) * 6.0 * vh ; + , + if( 2.0*vh < 1.0 , + out = vv2; + , + if ( 3.0*vh < 2.0 , + out = vv1 + ( vv2 - vv1 ) * ( ( 2.0 / 3.0 ) - vh ) * 6.0 ; + , + out= vv1 ; + ); + ); + ); + out; +); + +Colorrgbhwb(sL):=( + regional(dl1,dl2,dl3); + dl1 = Colorrgbhsl(sL)_1;//Colorcode("rgb","hsl",sL)_1; + dl2 = min(sL); + dl3 = 1 - max(sL); + dL= [dl1, dl2 , dl3 ]; +); + +Colorhwbrgb(sLorg):=( + regional(sL,tmp,tmp1,tmp2,tmp3,ratio,ff,ii,vv,nn,dL,flg); + sL=sLorg; + sL=[sL_1/360,sL_2,sL_3]; + ratio = sL_2 + sL_3; + // sL_2 + sL_3 cant be > 1 + if (ratio > 1., + sL_2 =sL_2 / ratio; + sL_3 = sL_3 / ratio; + ); + ii = floor(6 * sL_1); + vv = 1 - sL_3; + ff = 6 * sL_1 - ii; + if(mod(ii,2)==1,ff = 1 - ff); + nn = sL_2 + ff * (vv - sL_2); // linear interpolation + tmp=[[vv,nn,sL_2],[nn,vv,sL_2],[sL_2,vv,nn], + [sL_2,nn,vv],[nn,sL_2,vv],[vv,sL_2,nn],[vv,nn,sL_2]]; + flg=0; + forall(0..6, + if(flg==0 & ii == # , + dL=tmp_(#+1); + flg=1; + ); + ); + dL; +); + +Colorhslhsv(sL):=( + regional(dl1,dl2,dl3,dL); + dl1=sL_1; + if(sL_3 == 0, + // no need to do calc on black + // also avoids divide by 0 error + dL= [0, 0, 0]; + , + sL_3 = sL_3 * 2; + if(sL_3 <= 1,sL_2 = sL_2 * sL_3,sL_2 = sL_2 * (2 - sL_3)); + dl3 = (sL_3 + sL_2) / 2; + dl2 = (2 * sL_2) / (sL_3 + sL_2); + dL = [dl1, dl2, dl3]; + ); + dL; +); + +Colorcode(src,dest,sL):=( +//help:Colorcode("rgb","cmyk",[1,0.5,0]); + regional(tmp,tmp1,tmp2,tmp3,mn,mx,delta,black,dL,flg); + regional(dl1,dl2,dl3); + if(src=="rgb" & dest=="hsv", dL=Colorrgbhsv(sL)); + if(src=="hsv" & dest=="rgb", dL=Colorhsvrgb(sL)); + if(src=="rgb" & dest=="hsl", dL=Colorrgbhsl(sL)); + if(src=="hsl" & dest=="rgb", dL=Colorhslrgb(sL)); + if(src=="rgb" & dest=="hwb", dL=Colorrgbhwb(sL)); + if(src=="hwb" & dest=="rgb", dL=Colorhwbrgb(sL)); + if(src=="hsl" & dest=="hsv", dL=Colorhslhsv(sL)); + if(src=="hsv" & dest=="hsl", + dl1 = sL_1; + dl3 = (2 - sL_2) * sL_3; + dl2 = sL_2 * sL_3; + if(dl3 <= 1,dl2 = dl2/dl3,dl2=dl2/(2 - dl3)); + dl3 =d l3/ 2; + dL = [dl1, dl2 , dl3 ]; + ); + + if(src=="rgb" & dest=="cmyk", + tmp=apply(sL,1-#); + black=min(tmp); + tmp=apply(sL,(1-#-black)/(1-black)); + dL=append(tmp,black); + ); + if(src=="cmyk" & dest=="rgb", + black=sL_4; + tmp=apply(sL,1-min(1,#*(1-black)+black)); + dL=tmp_(1..3); + ); + if(src=="hsv" & dest=="cmyk", + tmp=Colorcode("hsv","rgb",sL); + dL=Colorcode("rgb","cmyk",tmp); + ); + if(src=="cmyk" & dest=="hsv", + tmp=Colorcode("cmyk","rgb",sL); + dL=Colorcode("rgb","hsv",tmp); + ); + + if(src=="hsv" & dest=="hwb", + tmp = Colorcode("hsv","rgb",sL); + dL = Colorcode("rgb","hwb",tmp); + ); + if(src=="hwb" & dest=="hsv", + tmp = Colorcode("hwb","rgb",sL); + dL = Colorcode("rgb","hsv",tmp); + ); + if(src=="hsl" & dest=="hwb", + tmp = Colorcode("hsl","rgb",sL); + dL = Colorcode("rgb","hwb",tmp); + ); + if(src=="hwb" & dest=="hsl", + tmp = Colorcode("hwb","rgb",sL); + dL = Colorcode("rgb","hsl",tmp); + ); + if(src=="hsl" & dest=="cmyk", + tmp = Colorcode("hsl","rgb",sL); + dL = Colorcode("rgb","cmyk",tmp); + ); + if(src=="hwb" & dest=="cmyk", + tmp = Colorcode("hwb","rgb",sL); + dL = Colorcode("rgb","cmyk",tmp); + ); + if(src=="cmyk" & dest=="hsl", + tmp = Colorcode("cmyk","rgb",sL); + dL = Colorcode("rgb","hsl",tmp); + ); + if(src=="cmyk" & dest=="hwb", + tmp = Colorcode("cmyk","rgb",sL); + dL = Colorcode("rgb","hwb",tmp); + ); + if(src=="hsb" & dest=="rgb",dL=Colorcode("hsv","rgb",sL)); + if(src=="rgb" & dest=="hsb",dL=Colorcode("rgb","hsv",sL)); + + if(src=="hsb" & dest=="hsl",dL=Colorcode("hsv","hsl",sL)); + if(src=="hsl" & dest=="hsb",dL=Colorcode("hsl","hsv",sL)); + + if(src=="hsb" & dest=="hwb",dL=Colorcode("hsv","hwb",sL)); + if(src=="hwb" & dest=="hsb",dL=Colorcode("hwb","hsv",sL)); + + if(src=="hsb" & dest=="cmyk",dL=Colorcode("hsv","cmyk",sL)); + if(src=="cmyk" & dest=="hsb",dL=Colorcode("cmyk","hsv",sL)); + + dL; +); + +Addcolor(cmdorg,list):=( +//help:Addcolor("Plotdata('1','x^2','x',[])",[1,1,0]); + regional(rgb,cmyk,cmd,tmp,tmp1,tmp2,tmp3,tmp4); + cmd=replace(cmdorg,"'",Dq); + if(length(list)==3, + rgb=list; + cmyk=Colorcode("rgb","cmyk",list); + , + cmyk=list; + rgb=Colorcode("cmyk","rgb",list); + ); + tmp1="color->"+text(rgb); + tmp2="Setcolor("+text(cmyk)+");"; + tmp3=substring(cmd,0,length(cmd)-2); + tmp=substring(tmp3,length(tmp3)-1,length(tmp3)); + if(tmp!="[", + tmp3=tmp3+","; + ); + tmp3=tmp3+Dq+tmp1+Dq+"])"; + parse(tmp2); + parse(tmp3); + Setcolor("black"); +); + +Colorinfile(filename,clrf,clrt):=( + regional(tmp,tmp1,tmp2,head,cstrL,chstrL,head,body); + if(length(clrf_1)==3, + head="[rgb]{"; + , + head="[cmyk]{"; + ); + tmp=apply(clrf,text(#)); + cstrL=apply(tmp,head+substring(#,1,length(#)-1)+"}"); + if(length(clrt_1)==3, + head="[rgb]{"; + , + head="[cmyk]{"; + ); + tmp=apply(clrt,text(#)); + chstrL=apply(tmp,head+substring(#,1,length(#)-1)+"}"); + tmp1=load(filename); + tmp=tokenize(tmp1,"{\unitlength"); + head=tokenize(tmp_1,"%%%"); + head=head_(2..length(head)); + head=apply(head,"%%%"+#); + tmp2=tmp_2; + forall(1..5, + tmp2=replace(tmp2,cstrL_#,chstrL_#); + ); + body=tokenize(tmp2,"%"); + body_1="{\unitlength"+body_1; + body=apply(body,#+"%"); + body=body_(1..(length(body)-1)); + tmp=replace(filename,".tex","new.tex"); + SCEOUT=openfile(tmp); + forall(head, + println(SCEOUT,#); + ); + forall(1..length(body), + tmp=body_#; + if(#<length(body), + println(SCEOUT,tmp); + , + print(SCEOUT,tmp) + ); + ); + closefile(SCEOUT); +); + +GetLinestyle(str,name):=( + regional(noflg,tmp,tmp1,tmp2,Dop,Ltype,subflg); + Ltype=-1; + Dop=""; + tmp1=indexof(str,","); + if(tmp1>0, + Dop=","+substring(str,tmp1,length(str)); + ); + noflg=parse(substring(str,0,1)); + if(substring(name,0,3)=="sub",subflg=1,subflg=0); // 16.02.29 + tmp1=substring(str,1,3); + if(tmp1=="dr" % tmp1=="Dr", + Ltype=0; + if(noflg==0 & subflg==0, // 16.02.29 + Drwline(name+Dop); + ); + ); + if(tmp1=="da" % tmp1=="Da", + Ltype=1; + if(noflg==0 & subflg==0, // 16.02.29 + Dashline(name+Dop); + ); + ); + if(tmp1=="id" % tmp1=="Id", + Ltype=2; // 15.11.09 + if(noflg==0 & subflg==0, // 16.02.29 + Invdashline(name+Dop); + ); + ); + if(tmp1=="do" % tmp1=="Do", + Ltype=3; + if(noflg==0 & subflg==0, // 16.02.29 + Dottedline(name+Dop); + ); + ); + if(tmp1=="dp" % tmp1=="Dp", + Ltype=0; + tmp1=parse(name); + tmp2=""; + forall(tmp1, + tmp2=tmp2+textformat(#_1,5)+","; + ); + tmp2=substring(tmp2,0,length(tmp2)-1); + if(noflg==0, + Drwpt(tmp2+Dop); + ); + ); + if(tmp1=="no" % tmp1=="No", + Ltype=10; + ); + Ltype; +); + +Chunderscore(str):=( + regional(flg,tmp,tmp1,tmp2,tmp3); + if(indexof(str,"]")>0, + tmp1=replace(str,"]",",]"); + , + tmp1=str+","; + ); + flg=0; + tmp2=[]; + tmp3=0; + forall(1..length(tmp1), + if(flg==0, + tmp=substring(tmp1,tmp3,length(tmp1)); + tmp=indexof(tmp,"_"); + if(tmp==0, + flg=1; + , + tmp3=tmp3+tmp; + tmp=substring(tmp1,tmp3,length(tmp1)); + tmp=indexof(tmp,",")-1; + tmp=substring(tmp1,tmp3,tmp3+tmp); + tmp2=append(tmp2,tmp); + ); + ); + ); + forall(tmp2, + tmp1=replace(tmp1,"_"+#,"("+#+")"); + ); + if(indexof(str,"]")>0, + tmp1=replace(tmp1,",]",")"); + tmp1=replace(tmp1,"[","list("); + , + tmp1=substring(tmp1,0,length(tmp1)-1); + ); + tmp1; +); + +//AddGraph(pltdata):=AddGraph("-"+pltdata,pltdata,[]); +AddGraph(nm,pltdata):=AddGraph(nm,pltdata,[]); +// if(isstring(Arg2), +// AddGraph(Arg1,Arg2,[]); +// , +// if(MeasureDepth(Arg2)>0, +// Addgraph(Arg1,Arg2,[]); +// , +// Addgraph("-"+Arg1,Arg1,Arg2); +// ); +// ); +//); +AddGraph(nm,pltdata,options):=( +//help:AddGraph("1","imp1"); // 16.04.04 +//help:Addgraph("1",["[pt1]","gr1"],["nodisp"]); + regional(name,Ltype,Noflg,opcindy,pdata,fname,flg, + tmp,tmp1,tmp2,tmp3); + if(substring(nm,0,1)=="-", + name=substring(nm,1,length(nm)); + , + name="ad"+nm; + ); + tmp=Divoptions(options); + Ltype=tmp_1; + Noflg=tmp_2; + opcindy=tmp_9; + if(isstring(pltdata), + pdata=parse(pltdata) + , + if(!islist(pltdata),pdata=[pltdata],pdata=pltdata); + pdata=apply(pdata,parse(#)); + ); // 15.01.22 + pdata=Flattenlist(pdata); + tmp1=[]; + forall(pdata,tmp2, + tmp=apply(tmp2,Pcrd(#)); + tmp1=append(tmp1,tmp); + ); + if(length(tmp1)==1,tmp1=tmp1_1); + pdata=tmp1; + if(Noflg<3, + println("generate addgraph "+name); + tmp=name+"="+textformat(pdata,5); + parse(tmp); + if(isstring(pltdata), // 16.04.04 from + if(indexof(pltdata,"]")>0, + tmp1="list(Listplot("+substring(pltdata,1,length(pltdata)); + tmp1=replace(tmp1,"]",",]"); + , + tmp1="Listplot("+substring(pltdata,0,length(pltdata))+",]"; + ); + flg=0; + tmp2=[]; + tmp3=0; + forall(1..length(tmp1), + if(flg==0, + tmp=indexof(substring(tmp1,tmp3,length(tmp1)),"_"); + if(tmp==0, + flg=1; + , + tmp3=tmp3+tmp; + tmp=indexof(substring(tmp1,tmp3,length(tmp1)),",")-1; + tmp=substring(tmp1,tmp3,tmp3+tmp); + tmp2=append(tmp2,tmp); + ); + ); + ); + forall(tmp2, + tmp1=replace(tmp1,"_"+#,"("+#+")"); + ); + tmp1=replace(tmp1,",]",")"); + tmp1=replace(tmp1,",","),Listplot("); + if(indexof(pltdata,"[")>0, + tmp1=tmp1+")"; + ); + GLIST=append(GLIST,name+"="+tmp1); + , + if(MeasureDepth(pdata)==1, + tmp1=name+"=Listplot("+textformat(pdata,5)+")"; + , + tmp1="list("; + forall(1..length(pdata), + tmp=name+"p"+textformat(#,5)+"="; + if(length(pdata_#)>1, // 15.01.22 + tmp=tmp+"Listplot("+textformat(pdata_#,5)+")"; + , + tmp=tmp+"Pointdata("+textformat(pdata_#_1,5)+")"; + ); + GLIST=append(GLIST,tmp); + tmp1=tmp1+name+"p"+textformat(#,5)+","; + ); + tmp1=name+"="+substring(tmp1,0,length(tmp1)-1)+")"; + ); + GLIST=append(GLIST,tmp1); + ); + ); // 16.04.04 upto + if(Noflg<2, + if(isstring(Ltype), + Ltype=GetLinestyle(text(Noflg)+Ltype,name); + , + if(Noflg==1,Ltype=0); + ); + GCLIST=append(GCLIST,[name,Ltype,opcindy]); + ); +); + +Joincrvs(nm,plotstrL):=Joincrvs(nm,plotstrL,[]); +Joincrvs(nm,plotstrL,options):=( +//help:Joincrvs("1",["sgAB","sgDCB"]); + regional(plotlist,PtL,Eps,QdL,Flg,Ni,Qd,pP,pS,pQ,pR,rMN, + opcindy,tmp,tmp1,tmp2,str,name,Ltype,Noflg); + name="join"+nm; + plotlist=[]; + forall(plotstrL,str, + if(isstring(str), + tmp=parse(str); + tmp=apply(tmp,LLcrd(#)); + , + tmp=str; + ); + plotlist=append(plotlist,tmp); + ); + Eps=10^(-4); + tmp=Divoptions(options); + Ltype=tmp_1; + Noflg=tmp_2; + opcindy=tmp_(length(tmp)); + tmp1=tmp_6; + if(length(tmp1)>0,Eps=tmp1_1); + QdL=[]; + forall(plotlist,Qd, + if(ispoint(Qd_1) % !islist(Qd_1_1), + QdL=concat(QdL,[Qd]); + , + forall(Qd, + QdL=concat(QdL,[#]); + ); + ); + ); + Flg=0; + if(length(QdL)==0, + PtL=[]; + Flg=1; + ); + if(Flg==0, + PtL=QdL_1; + forall(2..length(QdL),Ni, + Qd=QdL_Ni; + if(Numptcrv(Qd)>1, + pP=Ptend(PtL); + pS=Ptstart(PtL); + pQ=Ptstart(Qd); + pR=Ptend(Qd); + rMN=min([|pP-pQ|,|pP-pR|,|pS-pQ|,|pS-pR|]); + if(rMN==|pP-pR|, + Qd=reverse(Qd); + , + if(rMN==|pS-pQ|, + PtL=reverse(PtL); + , + if(rMN==|pS-pR|, + PtL=reverse(PtL); + Qd=reverse(Qd); + ); + ); + ); + ); + if(rMN>Eps, + PtL=concat(PtL,Qd); + , + PtL=concat(PtL,Qd_(2..length(Qd))); + ); + ); + ); + if(Noflg<3, + println("generate joincurve "+name); + tmp1=apply(PtL,Pcrd(#)); + tmp=name+"="+textformat(tmp1,5); + parse(tmp); + tmp1=""; + forall(plotstrL, + tmp1=tmp1+#+","; + ); + tmp1=substring(tmp1,0,length(tmp1)-1); + GLIST=append(GLIST,name+"=Joincrvs("+tmp1+")"); + ); + if(Noflg<2, + if(isstring(Ltype), + Ltype=GetLinestyle(text(Noflg)+Ltype,name); + , + if(Noflg==1,Ltype=0); + ); + GCLIST=append(GCLIST,[name,Ltype,opcindy]); + ); + PtL; +); + +Partcrv(nm,pA,pB,PkLstr):=Partcrv(nm,pA,pB,PkLstr,[]); +Partcrv(nm,pA,pB,PkLstr,options):=( +//help:Partcrv("1",A,B,"sgABC"); +//help:Partcrv("1",1.3,2.5,"sgABC"); + regional(PkL,Ans,Eps,Npt,Out1,Out2,tmp,tmp1,Flg,nS,nE,PPL,pP, + opcindy,Ta,Tb,name,Ltype,Noflg,DepthFlg); + name="part"+nm; + if(isstring(PkLstr),PkL=parse(PkLstr),PkL=PkLstr); + DepthFlg=0; + if(MeasureDepth(PkL)==2, + PkL=PkL_1; + DepthFlg=1; + ); + PkL=apply(PkL,LLcrd(#)); + tmp=Divoptions(options); + Ltype=tmp_1; + Noflg=tmp_2; + opcindy=tmp_(length(tmp)); + Eps=10^(-3); + Flg=0; + if(isreal(pA), + if(pA>pB+Eps, + Npt=Numptcrv(PkL); + Out1=Partcrv("",pA,Npt,PkLstr,["nodata"]); + Out2=Partcrv("",1,pB,PkLstr,["nodata"]); + tmp=Ptstart(PkL)-Ptend(PkL); + if(|tmp|<Eps, + Ans=Joincrvs("",[Out1,Out2],["nodata"]); + , + Ans=[apply(Out1,Pcrd(#)),apply(Out2,Pcrd(#))]; + ); + Flg=1; + ); + if(Flg==0, + nS=ceil(pA); + nE=floor(pB); + PPL=[]; + if(pA<nS-Eps, + pP=(nS-pA)*PkL_(nS-1)+(1-nS+pA)*PkL_nS; + PPL=[pP]; + ); + PPL=concat(PPL,PkL_(nS..nE)); + if(pB>nE+Eps, + pP=(1-pB+nE)*PkL_nE+(pB-nE)*PkL_(nE+1); + PPL=concat(PPL,[pP]); + ); + Ans=PPL; + Flg=1; + ); + ); + if(Flg==0, + tmp=Nearestpt(LLcrd(Pcrd(pA)),PkL); + Ta=tmp_2; + tmp=Nearestpt(LLcrd(Pcrd(pB)),PkL); // 15.09.12 + Tb=tmp_2; + Ans=Partcrv("",Ta,Tb,PkL,["nodata"] ); + Ans=apply(Ans,Pcrd(#)); + ); + if(Noflg<3, + println("generate partcrv "+name); + tmp1=apply(Ans,Pcrd(#)); + tmp=name+"="+textformat(tmp1,5); + parse(tmp); +// GLIST=append(GLIST, // 16.04.03 + if(DepthFlg==0, + tmp=PkLstr; + , + tmp=PkLstr+"(1)"; + ); + tmp1=name+"=Partcrv("+textformat(Lcrd(pA),5) + +","+textformat(Lcrd(pB),5)+","+tmp+")"; // 16.04.03 + GLIST=append(GLIST,tmp1); + ); + if(Noflg<2, + if(isstring(Ltype), + Ltype=GetLinestyle(text(Noflg)+Ltype,name); + , + if(Noflg==1,Ltype=0); + ); + GCLIST=append(GCLIST,[name,Ltype,opcindy]); + ); + Ans; +); + +Opcrvs(num,Fig):=Opcrvs(num,Fig,["nodisp"]); +Opcrvs(num,Fig,options):=( + //help:Subgraph(2,"grfs"); + regional(name,tmp,tmp1); + name="-"+Fig+text(num); + tmp=Fig+"_"+text(num); + tmp1=parse(tmp); + Listplot(name,tmp1,options); +); + + +Pointdata(nm,list):=Pointdata(nm,list,[]); +Pointdata(nm,list,options):=( +//help:Pointdata("1",[2,4],["Size=5"]); +//help:Pointdata("2",[[2,3],[4,1]]); + regional(name,nameL,ptlist,opstr,opcindy, + eqL,size,thick,tmp,tmp1,tmp2,tmp3,Ltype,Noflg); + name="pt"+nm; + nameL=name+"L"; + println("generate pointdata "+name); + tmp=Divoptions(options); + Ltype=tmp_1; + Noflg=tmp_2; + opcindy=tmp_(length(tmp)); + opstr=tmp_(length(tmp)-1); + size=""; + eqL=tmp_5; + if(length(eqL)>0, + forall(eqL, + tmp=substring(#,0,1); + if(tmp=="s" % tmp=="S", + tmp=indexof(#,"="); + size=substring(#,tmp,length(#)); + ); + ); + ); + tmp=MeasureDepth(list); + if(tmp>0, // 2015.02.21 + if(tmp==1,ptlist=list,ptlist=list_1); + tmp=apply(ptlist,[textformat(Pcrd(#),5)]); + tmp1=text(tmp); + tmp2=substring(tmp1,1,length(tmp1)-1); + tmp3=tmp1; + , + ptlist=list; + tmp1=textformat(Pcrd(ptlist),5); + tmp2=tmp1; + tmp3="["+tmp1+"]"; + ); + tmp=name+"="+tmp1; + parse(tmp); + tmp=nameL+"="+tmp3; + parse(tmp); + if(Noflg<3, + GLIST=append(GLIST,name+"=Pointdata("+tmp2+")"); + ); + if(Noflg<2, + tmp=[nameL,0,opcindy]; + GCLIST=append(GCLIST,tmp); + if(Noflg==0, + if(length(size)>0, + Com2nd("Setpt("+size+")"); + ); + thick=PenThick/PenThickInit; // 16.04.09 from + if(length(size)>0,tmp1=parse(size),tmp1=1); + tmp1=max(tmp1,1)/8; + Setpen(tmp1); // 16.04.09 upto + Com2nd("Drwpt(list("+name+")"+opstr+")"); + Setpen(thick); // 16.04.09 + if(length(size)>0, + Com2nd("Setpt("+textformat(TenSize/TenSizeInit,1)+")"); + ); + ); + ); + ptlist; +); + +Listplot(nm,list,options):=( +//help:Listplot([A,B]); +// help:Listplot(["A","B"]); +//help:Listplot("1",[[2,1],[3,3]]); +//help:Listplot(options2=["Msg=yes"]); + regional(name,tmp,tmp1,ptlist,Ltype,opcindy,Noflg,eqL,Msg); + if(substring(nm,0,1)=="-", // 16.01.27 from + name=substring(nm,1,length(nm)); + , + name="sg"+nm; + ); // upto + tmp=Divoptions(options); + Ltype=tmp_1; + Noflg=tmp_2; + eqL=tmp_5; + opcindy=tmp_(length(tmp)); + Msg=1; // 15.09.17 + forall(eqL, + tmp=substring(#,0,1); + if(Toupper(tmp)=="M", + tmp=indexof(#,"="); + tmp1=substring(#,tmp,tmp+1); // 16.06.28 + if(Toupper(tmp1)=="N", // 16.06.28 + Msg=0; + ); + ); + ); + if(Noflg<3, + if(Msg==1, + println("generate Listplot "+name); + ); + if(isstring(list_1),tmp=apply(list,parse(#)),tmp=list); // 15.03.24 + ptlist=apply(tmp,Pcrd(#)); + tmp=name+"="+textformat(ptlist,5); + parse(tmp); + GLIST=append(GLIST,name+"=Listplot("+textformat(list,5)+")"); // 15.12.23 + ); + if(Noflg<2, + if(isstring(Ltype), + Ltype=GetLinestyle(text(Noflg)+Ltype,name); + , + if(Noflg==1,Ltype=0); + ); + GCLIST=append(GCLIST,[name,Ltype,opcindy]); + ); + tmp1=apply(list,Lcrd(#)); + tmp1; +); +Listplot(Arg1,Arg2):=( + regional(name,list,options,str); + if(isstring(Arg1), + name=Arg1; + list=Arg2; + Listplot(name,list,[]); + , + list=Arg1; + options=Arg2; + name=""; + forall(list, // 16.10.07from + name=name+#.name; + );// 16.10.07upto + Listplot(name,list,options); + ); +); +Listplot(list):=Listplot(list,[]); + +Lineplot(nm,list,options):=( +//help:Lineplot([A,B]); +//help:Lineplot("1",[[2,1],[3,3]]); + regional(name,Out,tmp,tmp1,opstr,opcindy,Mag,Semi, + Vec,pA,pB,Ltype,Noflg); + name="ln"+nm; + Mag=100; + Semi=""; + tmp=Divoptions(options); + Ltype=tmp_1; + Noflg=tmp_2; + opcindy=tmp_(length(tmp)); + opstr=tmp_(length(tmp)-1); + tmp1=tmp_6; + if(length(tmp1)>0,Mag=tmp1_1); + tmp1=tmp_7; + if(length(tmp1)>0,Semi=tmp1_1); + pA=Lcrd(list_1); pB=Lcrd(list_2); + Vec= Mag/dist(pA,pB)*(pB-pA); + if(length(Semi)==0, + Out=[pA-Vec,pA+Vec]; + , + if(Semi=="+", + Out=[pA,pA+Vec]; + , + Out=[pA-Vec,pA]; + ); + ); + if(Noflg<3, + println("generate Lineplot "+name); + tmp1=apply(Out,Pcrd(#)); + tmp=name+"="+textformat(tmp1,5); + parse(tmp); + GLIST=append(GLIST,name+"=Lineplot("+textformat(list,5)+opstr+")"); + ); + if(Noflg<2, + if(isstring(Ltype), + Ltype=GetLinestyle(text(Noflg)+Ltype,name); + , + if(Noflg==1,Ltype=0); + ); + GCLIST=append(GCLIST,[name,Ltype,opcindy]); + ); + Out; +); +Lineplot(Arg1,Arg2):=( + regional(name,list,options,str); + if(isstring(Arg1), + name=Arg1; + list=Arg2; + Lineplot(name,list,[]); + , + list=Arg1; + options=Arg2; + name=""; + forall(list, // 16.10.07from + name=name+#.name; + );// 16.10.07upto + Lineplot(name,list,options); + ); +); +Lineplot(list):=Lineplot(list,[]); + +Plotdata(name1,func,variable):=Plotdata(name1,func,variable,[]); +Plotdata(name1,func,variable,options):=( +//help:Plotdata("1","sin(x)","x",["Num=100"]); +//help:Plotdata("2","x^2","x=[-1,1]"); +//help:Plotdata("3","Fout(x)","x",["out"]); + regional(Fn,Va,tmp,tmp1,tmp2,eqL,name,Vname,x1,x2,dx, + PdL,QdL,Num,Ec,Dc,Fun,Exfun,x,Ke,Eps,Pa, + Ltype,Noflg,Inflg,Outflg,opstr,opcindy); + name="gr"+name1; + tmp=Divoptions(options); + Ltype=tmp_1; + Noflg=tmp_2; + Inflg=tmp_3; + Outflg=tmp_4; + opstr=tmp_(length(tmp)-1); + opcindy=tmp_(length(tmp)); + eqL=tmp_5; + Num=50; + Ec=[]; + Exfun=""; + Dc=1000; + forall(eqL, + tmp=indexof(#,"="); + tmp1=substring(#,tmp,length(#)); + opstr=opstr+",'"+#+"'"; + if(substring(#,0,1)=="N", + Num=parse(tmp1); + ); + if(substring(#,0,1)=="E", + if(substring(tmp1,0,1)=="[", + Ec=parse(tmp1); + , + Exfun=tmp1; + ); + ); + if(substring(#,0,1)=="D", + Dc=parse(tmp1); + ); + ); + if(Inflg==0 & Outflg==0, + Eps=10^(-3); + tmp=replace(func,LFmark,""); + tmp=tokenize(variable,"="); + Vname=tmp_1; + if(length(tmp)>1, + tmp=tmp_2; + tmp=parse(tmp); + x1=tmp_1; + x2=tmp_2; + , + x1=XMIN; + x2=XMAX; + ); + // dx=(x2-x2)/Num; + Ec=append(sort(Ec),10000); + Fun=Assign(func,Vname, "xx"); + Exfun=Assign(Exfun,Vname, "xx"); + PdL=[]; + Ke=1; + forall(0..Num, + xx=x1+#*(x2-x1)/Num; // differs from Scilab ( / Num-1) + if(length(Exfun)>0, + tmp=parse(Exfun); + if(abs(tmp)<Eps, + if(length(Pdt)>0, + PdL=concat(PdL,["inf"]); + ); + ); + , + Pa=[]; + if(xx-Ec_Ke<-Eps, + Pa=[xx,parse(Fun)]; + ); + if(abs(xx-Ec_Ke)<=Eps, + if(length(PdL)>0, + if(PdL_(length(PdL))_1!="inf", + Pa=["inf"]; + ); + ); + ); + if(xx-Ec_Ke>Eps, + Pa=[xx,parse(Fun)]; + Ke=Ke+1; + ); + if(length(Pa)>0, + if(Pa_1=="inf", + PdL=concat(PdL,[Pa]); + , + if(length(PdL)==0, + PdL=[Pa]; + , + tmp=PdL_(length(PdL)); + if(tmp_1=="inf", + PdL=concat(PdL,[Pa]); + , + if(dist(tmp,Pa)<Dc, + PdL=concat(PdL,[Pa]); + , + PdL=concat(PdL,[["inf"],Pa]); + ); + ); + ); + ); + ); + ); + ); + tmp1=[]; + tmp2=select(1..length(PdL),PdL_#==["inf"]); + tmp=1; + forall(tmp2, + if(#>tmp, + tmp1=concat(tmp1,[PdL_(tmp..(#-1))]) + ); + tmp=#+1; + ); + if(tmp<length(PdL), + tmp1=concat(tmp1,[PdL_(tmp..length(PdL))]); + ); + PdL=tmp1; + if(length(PdL)==1, + PdL=PdL_1; + ); + if(Noflg<3, + println("generate Plotdata "+name); + if(MeasureDepth(PdL)==1, + tmp1=apply(PdL,Pcrd(#)); + , + tmp1=[]; + forall(PdL,tmp2, + tmp1=append(tmp1,apply(tmp2,Pcrd(#))); + ); + ); + tmp=name+"="+textformat(tmp1,5); + parse(tmp); + tmp1=replace(func,LFmark,""); + tmp2=replace(variable,LFmark,""); + tmp=name+"=Plotdata('"+tmp1+"','"+tmp2+"'"+opstr+")"; + GLIST=append(GLIST,tmp); + ); + if(Noflg<2, + if(isstring(Ltype), + Ltype=GetLinestyle(text(Noflg)+Ltype,name); + , + if(Noflg==1,Ltype=0); + ); + GCLIST=append(GCLIST,[name,Ltype,opcindy]); + ); + PdL; + , + // Inflg or Outflg >0 15.05.15 + if(Noflg<3, + if(Outflg==1, + println("Output Plotdata "+name); + tmp=name+"=Plotdata('"+func+"','"+variable+"'"+opstr+")"; + GLIST=append(GLIST,tmp); + SCIWRLIST=append(SCIWRLIST,name); + if(Inflg==0,Inflg=1); // 15.05.17 + ); + if(Inflg==1, + println("Input Plotdata "+name); + if(length(SCIRELIST)==0, + ReadOutData(Fnameout); + ); + tmp=parse(name); + if(islist(tmp), + Extractdata(name,["nodisp"]); // 12.19 + ); + tmp="// "+name+"=Plotdata('"+func+"','"+variable+"'"+opstr+")"; + Com1st(tmp); + SCIRELIST=append(SCIRELIST,name); + ); + ); + if(Noflg<2, + if(isstring(Ltype), + Ltype=GetLinestyle(text(Noflg)+Ltype,name); + , + if(Noflg==1,Ltype=0); + ); + if(Inflg==1, + GCLIST=append(GCLIST,[name,Ltype,opcindy]); + ); + ); + ); +); + +Paramplot(name1,funstr,variable):=Paramplot(name1,funstr,variable,[]); +Paramplot(name1,funstr,variable,options):=( +//help:Paramplot("1","[2*cos(t),sin(t)]","t=[0,2*pi]"); + regional(name,Out,tmp,tmp1,tmp2,vname,func,str,Rng,Num, + Ec,Exfun,Dc,eqL,Fntmp,Vatmp,t1,t2,dt,tt,pa,ke, + Ltype,Noflg,Inflg,Outflg,opstr,opcindy); + name="gp"+name1; + Eps=10^(-4); + tmp=Divoptions(options); + Ltype=tmp_1; + Noflg=tmp_2; + Inflg=tmp_3; + Outflg=tmp_4; + opstr=tmp_(length(tmp)-1); + opcindy=tmp_(length(tmp)); + eqL=tmp_5; + Num=50; + Ec=[]; + Exfun=""; + Dc=1000; + forall(eqL, + tmp=indexof(#,"="); + tmp1=substring(#,tmp,length(#)); + opstr=opstr+",'"+#+"'"; + if(substring(#,0,1)=="N", + Num=parse(tmp1); + ); + if(substring(#,0,1)=="E", + if(substring(tmp1,0,1)=="[", + Ec=parse(tmp1); + , + Exfun=tmp1; + ); + ); + if(substring(#,0,1)=="D", + Dc=parse(tmp1); + ); + ); + if(Inflg==0 & Outflg==0, + tmp=indexof(variable,"="); + vname=substring(variable,0,tmp-1); + str=substring(variable,tmp,length(variable)); + Rng=parse(str); + t1=Rng_1; t2=Rng_2; + dt=(t2-t1)/Num;// differs from Scilab ( / Num-1) + func=Assign(funstr,vname,"tt"); + Out=[]; + Ec=append(sort(Ec),10000); + ke=1; + forall(0..Num, + pt=[]; + tt=Rng_1+#*dt; + if(tt-Ec_ke<-Eps, + pa=parse(func); + ); + if(abs(tt-Ec_ke)<=Eps, + if(length(Out)>0, + if(Out_(length(Out))_1!="inf", + pa=["inf"]; + ); + ); + ); + if(tt-Ec_ke>Eps, + pa=parse(func); + ke=ke+1; + ); + if(length(pa)>0, + if(pa_1=="inf", + Out=append(Out,pa); + , + if(length(Out)==0, + Out=[pa]; + , + tmp=Out_(length(Out)); + if(tmp_1=="inf", + Out=append(Out,pa); + , + if(|tmp-pa|<Dc, + Out=append(Out,pa); + , + Out=concat(Out,[["inf"],pa]); + ); + ); + ); + ); + ); + ); + tmp1=[]; + tmp2=select(1..length(Out),Out_#==["inf"]); + tmp=1; + forall(tmp2, + if(#>tmp, + tmp1=concat(tmp1,[Out_(tmp..(#-1))]) + ); + tmp=#+1; + ); + if(tmp<length(Out), + tmp1=concat(tmp1,[Out_(tmp..length(Out))]); + ); + Out=tmp1; + if(length(Out)==1, + Out=Out_1; + ); + if(Noflg<3, + println("generate Paramplot "+name); + if(MeasureDepth(Out)==1, + tmp1=apply(Out,Pcrd(#)); + , + tmp1=[]; + forall(Out,tmp2, + tmp1=append(tmp1,apply(tmp2,Pcrd(#))); + ); + ); + tmp=name+"="+textformat(tmp1,5); + parse(tmp); + tmp1=replace(funstr,LFmark,""); // 15.11.13 + tmp2=replace(variable,LFmark,""); + tmp=name+"=Paramplot('"+tmp1+"','"+tmp2+"'"+opstr+")"; + GLIST=append(GLIST,tmp); + ); + if(Noflg<2, + if(isstring(Ltype), + Ltype=GetLinestyle(text(Noflg)+Ltype,name); + , + if(Noflg==1,Ltype=0); + ); + GCLIST=append(GCLIST,[name,Ltype,opcindy]); + ); + Out; + , + // Inflg or Outflg >0 15.05.15 + if(Noflg<3, + if(Outflg==1, + println("Output Paramplot "+name); + tmp=name+"=Paramplot('"+funstr+"','"+variable+"'"+opstr+")"; + GLIST=append(GLIST,tmp); + SCIWRLIST=append(SCIWRLIST,name); + if(Inflg==0,Inflg=1); // 15.05.17 + ); + if(Inflg==1, + println("Input Paramplotdata "+name); + if(length(SCIRELIST)==0, + ReadOutData(Fnameout); + ); + tmp=parse(name); + if(islist(tmp), + Extractdata(name,["nodisp"]); // 12.19 + ); + tmp="// "+name+"=Paramplot('"+func+"','"+variable+"'"+opstr+")"; + Com1st(tmp); + SCIRELIST=append(SCIRELIST,name); + ); + ); + if(Noflg<2, + if(isstring(Ltype), + Ltype=GetLinestyle(text(Noflg)+Ltype,name); + , + if(Noflg==1,Ltype=0); + ); + if(Inflg==1, + GCLIST=append(GCLIST,[name,Ltype,opcindy]); + ); + ); + ); +); + +Circledata(cenrad):=Circledata(cenrad,[]); +Circledata(para1,para2):=( +//help:Circledata([A,B],["Rng=[0,pi/2]"]); +//help:Circledata([A,B,C]); + regional(name,cenrad,options,str,n); + if(isstring(para1), + name=para1; + cenrad=para2; + options=[]; + , + cenrad=para1; + options=para2; + name="";// 16.10.07from + forall(cenrad, + name=name+#.name; + );// 16.10.07upto + ); + Circledata(name,cenrad,options); +); +Circledata(nm,cenrad,options):=( + regional(name,Out,Ctr,Ptcir,ra,Num,Rg,opstr,opcindy, + tmp,tmp1,tmp1,Th,Ltype,Noflg,eqL,pA,pB,pC,d1,d2,Eps); + name="cr"+nm; + tmp=Divoptions(options); + Ltype=tmp_1; + Noflg=tmp_2; + opstr=tmp_(length(tmp)-1); + opcindy=tmp_(length(tmp)); + eqL=tmp_5; + Num=50; + Rg=[0,2*pi]; + forall(eqL, + tmp=indexof(#,"="); + tmp1=substring(#,tmp,length(#)); + opstr=opstr+",'"+#+"'"; + if(substring(#,0,1)=="N", + Num=parse(tmp1); + ); + if(substring(#,0,1)=="R", + Rg=parse(tmp1); + ); + ); + if(length(cenrad)==2, + Ctr=Lcrd(cenrad_1); + Ptcir=Lcrd(cenrad_2); + ra=dist(Ctr,Ptcir); + , + Eps=10^(-1); + pA=Lcrd(cenrad_1); + pB=Lcrd(cenrad_2); + pC=Lcrd(cenrad_3); + tmp=pB-pA; + tmp1=(tmp_2,-tmp_1); + tmp=pC-pB; + tmp2=(tmp_2,-tmp_1); + d1=det([tmp1,tmp2]); + d2=det([pC-pA,tmp2]); + if(abs(d1)<Eps & abs(d2)>10*Eps, + println("points are in a line"); + ra=0; + , + Ctr=1/2*(pA+pB)+1/2*d2/d1*tmp1; + ra=|pA-Ctr|; + tmp=name+"center="+Ctr; + parse(tmp); + Defvar(name+"center",Ctr); + ); + ); + if(ra>0, + Out=[]; + forall(0..Num, + Th=Rg_1+#*(Rg_2-Rg_1)/Num; + Out=append(Out,Ctr+ra*[cos(Th),sin(Th)]); + ); + , + Out=Lineplot("1",[pA,pB],["nodata"]); + ); + if(Noflg<3, + println("generate Circledata "+name); + tmp1=apply(Out,Pcrd(#)); + tmp=name+"="+textformat(tmp1,5); + parse(tmp); + if(length(cenrad)==2, + tmp=name+"=Circledata("+cenrad+opstr+")"; + , + if(ra>0, + tmp=name+"=Circledata(["+Ctr+","+cenrad_1+"]"+opstr+")"; + , + tmp=name+"=Lineplot("+cenrad_1+","+cenrad_2+")"; + ); + ); + GLIST=append(GLIST,tmp); + ); + if(Noflg<2, + if(isstring(Ltype), + Ltype=GetLinestyle(text(Noflg)+Ltype,name); + , + if(Noflg==1,Ltype=0); + ); + GCLIST=append(GCLIST,[name,Ltype,opcindy]); + ); + Out; +); + +Framedata():=( + regional(pA,pB); + pA=LLcrd((SW+NE)/2); // 15.09.17 + pB=LLcrd(NE); + Framedata("win",[pA,pB]); +); +Framedata(list):=Framedata(list,[]); +Framedata(Arg1,Arg2):=( + regional(name,list,options,str); + if(isstring(Arg1), + name=Arg1; + list=Arg2; + Framedata(name,list,[]); + , + list=Arg1; + options=Arg2; + name="";// 16.10.07from + forall(list, + name=name+#.name; + );// 16.10.07upto + Framedata(name,list,options); + ); +); + +Framedata(nm,list,options):=( +//help:Framedata(); +//help:Framedata([A,B]); +//help:Framedata("1",[A,B]); +//help:Framedata("1",[C,dx,dy]); + regional(name,Out,tmp,tmp1,pB,x1,x2,y1,y2,dx,dy, + opcindy,Ltype,Noflg,cent,dx,dy); + name="fr"+nm; + tmp=Divoptions(options); + Ltype=tmp_1; + Noflg=tmp_2; + opcindy=tmp_(length(tmp)); + if(length(list)==2, // 15.05.12 + pA=Lcrd(list_1); pB=Lcrd(list_2); + dx=abs(pB_1-pA_1); dy=abs(pB_2-pA_2); + , + pA=Lcrd(list_1); + dx=list_2; dy=list_3; + ); + x1=pA_1-dx; x2=pA_1+dx; + y1=pA_2-dy; y2=pA_2+dy; + Out=[[x1,y1],[x2,y1],[x2,y2],[x1,y2],[x1,y1]]; + if(Noflg<3, + println("generate Framedata "+name); + tmp1=apply(Out,Pcrd(#)); + tmp=name+"="+textformat(tmp1,5); + parse(tmp); + GLIST=append(GLIST,name+"=Framedata("+pA+","+dx+","+dy+")"); + ); + if(Noflg<2, + if(isstring(Ltype), + Ltype=GetLinestyle(text(Noflg)+Ltype,name); + , + if(Noflg==1,Ltype=0); + ); + GCLIST=append(GCLIST,[name,Ltype,opcindy]); + ); + Out; +); +Framedata(nm,cent,dx,dy):=Framedata(nm,cent,dx,dy,[]); +Framedata(nm,cent,dx,dy,options):=( + regional(name,Out,tmp,tmp1,x1,y1,x2,y2,Ltype,opcindy,Noflg); + name="fr"+nm; + tmp=Divoptions(options); + Ltype=tmp_1; + Noflg=tmp_2; + opcindy=tmp_(length(tmp)); + x1=cent.x-dx; x2=cent.x+dx; + y1=cent.y-dy; y2=cent.y+dy; + Out=[[x1,y1],[x2,y1],[x2,y2],[x1,y2],[x1,y1]]; + if(Noflg<3, + println("generate Framedata "+name); + tmp1=apply(Out,Pcrd(#)); + tmp=name+"="+textformat(tmp1,5); + parse(tmp); + GLIST=append(GLIST,name+"=Framedata("+cent.xy+","+dx+","+dy+")"); + ); + if(Noflg<2, + if(isstring(Ltype), + Ltype=GetLinestyle(text(Noflg)+Ltype,name); + , + if(Noflg==1,Ltype=0); + ); + GCLIST=append(GCLIST,[name,Ltype,opcindy]); + ); + Out; +); + +Framedata2(nm,list):=Framedata2(nm,list,[]); +Framedata2(nm,list,options):=( +//help:Framedata2("1",[A,B]); + regional(tmp,tmp1,pC,pB); + pC=(Lcrd(list_1)+Lcrd(list_2))/2; + pB=Lcrd(list_2); + Framedata(nm,[pC,pB],options); +); + +Ovaldata(nm,Pdata):=Ovaldata(nm,Pdata,[]); +Ovaldata(nm,Pdata,options):=( +//help:Ovaldata("1",[A,B]); +//help:Ovaldata(optios=[size]); + regional(name,Graph,Ctr,Dx,Dy,Rc,Out,Point,Graph, + opstr,opcindy,tmp,tmp1,tmp2,tmp3,Ltype,Noflg); + name="ov"+nm; + tmp=Divoptions(options); + Ltype=tmp_1; + Noflg=tmp_2; + opcindy=tmp_(length(tmp)); + opstr=tmp_(length(tmp)-1); + Rc=0.2; + tmp1=tmp_6; + if(length(tmp1)>0,Rc=tmp1_1*Rc); +// if(length(tmp1)>0,Rc=tmp1_1); //15.11.15 + Ctr=Lcrd(Pdata_1); + if(ispoint(Pdata_2) % islist(Pdata_2), + tmp1=Lcrd(Pdata_2); + Dx=abs(tmp1_1-Ctr_1); + Dy=abs(tmp1_2-Ctr_2); + , + Dx=Pdata_2; + Dy=Pdata_3; + ); + Point=Ctr+[Dx-Rc,Dy-Rc]; + tmp1=Circledata("1",[Point,Point+[Rc,0]], + ["Rng=[0,pi/2]","Num=10","nodata"]); + tmp2=Listplot("1",[Ctr+[Dx-Rc,Dy],Ctr+[0,Dy]], + ["nodata"]); + tmp3=Listplot("2",[Ctr+[Dx,0],Ctr+[Dx,Dy-Rc]], + ["nodata"]); + Graph=Joincrvs("1",[tmp3,tmp1,tmp2],["nodata"]); + tmp1=Reflectdata("1",[Graph],[Ctr,Ctr+[0,1]],["nodata"]); + Graph=Joincrvs("1",[Graph,tmp1],["nodata"]); + tmp2=Reflectdata("2",[Graph],[Ctr,Ctr+[1,0]], + ["nodata"]); + Graph=Joincrvs("2",[Graph,tmp2],["nodata"]); + if(Noflg<3, + println("generate Ovaldata "+name); + tmp1=apply(Graph,Pcrd(#)); + tmp=name+"="+textformat(tmp1,5); + parse(tmp); + GLIST=append(GLIST, + name+"=Ovaldata("+Ctr+","+Dx+","+Dy+opstr+")");//16.01.30 + ); + if(Noflg<2, + if(isstring(Ltype), + Ltype=GetLinestyle(text(Noflg)+Ltype,name); + , + if(Noflg==1,Ltype=0); + ); + GCLIST=append(GCLIST,[name,Ltype,opcindy]); + tmp1=apply(Graph,Pcrd(#)); + tmp=name+"="+textformat(tmp1,5); + parse(tmp); + tmp=textformat(Ctr,5)+","+textformat(Dx,5)+","+textformat(Dy,5); + GLIST=append(GLIST, + name+"=Ovaldata("+tmp+opstr+")"); + ); + Graph; +); + +Segmark(nm,ptlist):=Segmark(nm,ptlist,[]); +Segmark(nm,ptlist,options):=Drawsegmark(nm,ptlist,options); +Drawsegmark(nm,ptlist):=Drawsegmark(nm,ptlist,[]); +Drawsegmark(nm,ptlist,options):=( +//help:Segmark("1",[A,B]); +//help:Segmark(options=["Type=1","Width=1","Size=1"]); + regional(name,pA,pB,wid,mid,size,tp,dir,nor,eqL, + tmp,tmp1,tmp2); + name="mrk"+nm; + pA=ptlist_1; + pB=ptlist_2; + size=0.15; + wid=0.05; + tp=1; + tmp1=Divoptions(options); + eqL=tmp1_5; + forall(eqL, + tmp=indexof(#,"="); + tmp1=substring(#,tmp,length(#)); + tmp1=parse(tmp1); + tmp=substring(#,0,1); + if(tmp=="S" % tmp=="s", + size=size*tmp1; + ); + if(tmp=="W" % tmp=="w", + wid=wid*tmp1; + ); + if(tmp=="T" % tmp=="t", + tp=tmp1; + ); + ); + mid=(pA+pB)/2; + dir=(pB-pA)/|pB-pA|; + nor=[-dir_2,dir_1]; +// nor=nor/|nor|; + if(tp==1, + tmp1=mid+size*nor; + tmp2=mid-size*nor; + Listplot(name,[tmp1,tmp2]); + ); + if(tp==2, + tmp1=mid+wid*dir+size*nor; + tmp2=mid+wid*dir-size*nor; + Listplot(name+"r",[tmp1,tmp2]); + tmp1=mid-wid*dir+size*nor; + tmp2=mid-wid*dir-size*nor; + Listplot(name+"l",[tmp1,tmp2]); + ); + if(tp==3, + tmp1=mid; + tmp2=mid+size*dir; + Circledata(name,[tmp1,tmp2]); + ); + if(tp==4, + tmp=mid+size*2/sqrt(3)*nor; + tmp1=mid+size*dir-size/sqrt(3)*nor; + tmp2=mid-size*dir-size/sqrt(3)*nor; + Listplot(name,[tmp,tmp1,tmp2,tmp]); + ); +); + +Parabolaplot(nm,ptlist):=Parabolaplot(nm,ptlist,"[-5,5]",[]); +Parabolaplot(nm,ptlist,Arg):=( + regional(rng,options); + if(isstring(Arg), + rng=Arg; + options=[]; + , + rng="[-5,5]"; + options=Arg; + ); + Parabolaplot(nm,ptlist,rng,options); +); +Parabolaplot(nm,ptlist,rng,options):=( +//help:Parabolaplot("1",[A,B,C]): +//help:Parabolaplot("1",[A,B,C],"[-5,5]"); + regional(pA,pB,pC,angle,tmp,tmp1,tmp2); + tmp1=Lcrd(ptlist_1); + tmp2=Lcrd(ptlist_3); + pB=Lcrd(ptlist_2); + tmp=(tmp2-pB)/|tmp2-pB|; + if(tmp_2>=0, + angle=arccos(tmp_1); + , + if(tmp_1>=0, + angle=arcsin(tmp_2); + , + angle=-arccos(tmp_1); + ); + ); + pA=Rotatepoint(tmp1,-angle,pB); + pC=Rotatepoint(tmp2,-angle,pB); + tmp1=1/(2*(pA_2-pB_2)); + tmp2=1/2*(pA_2+pB_2); + tmp="("+format(tmp1,5)+")*(x-("+format(pA_1,5)+"))^2"; + tmp=tmp+"+("+format(tmp2,5)+")"; + tmp1=parse(rng); + tmp1=[pA_1-(tmp1_2-tmp1_1)/2,pA_1+(tmp1_2-tmp1_1)/2]; + tmp2="x="+textformat(tmp1,5); + Plotdata(nm+"para",tmp,tmp2,append(options,"nodisp")); + Rotatedata(nm+"para","gr"+nm+"para",angle,append(options,pB)); +); + +Ellipseplot(nm,ptlist):=Ellipseplot(nm,ptlist,"[0,2*pi]",[]); +Ellipseplot(nm,ptlist,Arg):=( + regional(rng,options); + if(isstring(Arg), + rng=Arg; + options=[]; + , + rng="[0,2*pi]"; + options=Arg; + ); + Ellipseplot(nm,ptlist,rng,options); +); +Ellipseplot(nm,ptlist,rng,options):=( +//help:Ellipseplot("1",[A,B,3]); +//help:Ellipseplot("1",[A,B,C],"[0,pi]",[options]); + regional(pA,pB,d,angle,f,a,b,pM,tmp,tmp1,tmp2); + pA=Lcrd(ptlist_1); + tmp1=Lcrd(ptlist_2); + if(ispoint(ptlist_3), + tmp2=Lcrd(ptlist_3); + d=|tmp2-pA|+|tmp2-tmp1|; + , + d=ptlist_3; + ); + tmp=(tmp1-pA)/|tmp1-pA|; + if(tmp_2>=0, + angle=arccos(tmp_1); + , + if(tmp_1>=0, + angle=arcsin(tmp_2); + , + angle=-arccos(tmp_1); + ); + ); + pB=Rotatepoint(tmp1,-angle,pA); + f=|pB_1-pA_1|/2; + a=d/2; + b=sqrt(d^2/4-f^2); + pM=(pA+pB)/2; + tmp="["+format(pM_1,5)+","+format(pM_2,5)+"]"; + tmp=tmp+"+["+format(a,5)+"*cos(t),"+format(b,5)+"*sin(t)]"; + Paramplot(nm+"elp",tmp,"t="+rng,append(options,"nodisp")); + Rotatedata(nm+"elp","gp"+nm+"elp",angle,append(options,pA)); +); + +Hyperbolaplot(nm,ptlist):=Hyperbolaplot(nm,ptlist,"[-5/2,5/2]",[]); +Hyperbolaplot(nm,ptlist,Arg):=( + regional(rng,options); + if(isstring(Arg), + rng=Arg; + options=[]; + , + rng="[-5/2,5/2]"; + options=Arg; + ); + Hyperbolaplot(nm,ptlist,rng,options); +); +Hyperbolaplot(nm,ptlist,rng,optionsorg):=( +//help:Hyperbolaplot("1",[A,B,C],["Num=200"]): +//help:Hyperbolaplot("1",[A,B,C],"[-5,5]",["Asy=do"]); + regional(pA,pB,d,angle,f,a,b,pM,eqL,options,opasy,tmp,tmp1,tmp2); + tmp=Divoptions(optionsorg); + eqL=tmp_5; + options=optionsorg; + opasy=[]; + forall(eqL, + if(Toupper(substring(#,0,1))=="A", + tmp=indexof(#,"="); + opasy=[substring(#,tmp,length(#))]; + options=remove(options,[#]); + ); + ); + pA=Lcrd(ptlist_1); + tmp1=Lcrd(ptlist_2); + if(ispoint(ptlist_3), + tmp2=Lcrd(ptlist_3); + d=abs(|tmp2-pA|-|tmp2-tmp1|); + , + d=ptlist_3; + ); + tmp=(tmp1-pA)/|tmp1-pA|; + if(tmp_2>=0, + angle=arccos(tmp_1); + , + if(tmp_1>=0, + angle=arcsin(tmp_2); + , + angle=-arccos(tmp_1); + ); + ); + pB=Rotatepoint(tmp1,-angle,pA); + f=|pB_1-pA_1|/2; + a=d/2; + b=sqrt(f^2-d^2/4); + pM=(pA+pB)/2; + tmp="["+format(pM_1,5)+"+"+format(a,5)+"*(exp(t)+exp(-t))/2,"; + tmp=tmp+format(pM_2,5)+"+"+format(b,5)+"*(exp(t)-exp(-t))/2]"; + Paramplot(nm+"hyp1",tmp,"t="+rng,append(options,"nodisp")); + tmp="["+format(pM_1,5)+"-"+format(a,5)+"*(exp(t)+exp(-t))/2,"; + tmp=tmp+format(pM_2,5)+"+"+format(b,5)+"*(exp(t)-exp(-t))/2]"; + Paramplot(nm+"hyp2",tmp,"t="+rng,append(options,"nodisp")); + tmp=["gp"+nm+"hyp1","gp"+nm+"hyp2"]; + Rotatedata(nm+"hyp",tmp,angle,append(options,pA)); + if(length(opasy)>0, + Lineplot(nm+"asy1",[pM+[a,b],pM+[-a,-b]],["nodisp"]); + Lineplot(nm+"asy2",[pM+[-a,b],pM+[a,-b]],["nodisp"]); + tmp=["ln"+nm+"asy1","ln"+nm+"asy2"]; + Rotatedata(nm+"asy",tmp,angle,append(opasy,pA)); + ); +); + +Polygonplot(nm,ptlist,number):=Polygonplot(nm,ptlist,number,[]); +Polygonplot(nm,ptlist,number,options):=( +//help:Polygonplot("1",[A,B],12); + regional(rr,pA,pB,ptL,angle,tmp,tmp1,tmp2); + pA=Lcrd(ptlist_1); + pB=Lcrd(ptlist_2); + rr=|pB-pA|; + tmp=(pB-pA)/rr; + if(tmp_2>=0, + angle=arccos(tmp_1); + , + if(tmp_1>=0, + angle=arcsin(tmp_2); + , + angle=-arccos(tmp_1); + ); + ); + ptL=[]; + forall(0..number, + tmp=angle+#*2*pi/number; + tmp1=pA+rr*[cos(tmp),sin(tmp)]; + if(#>0 & #<number, + Putpoint((ptlist_2).name+text(#),tmp1);//16.10.07 + //Pointdata(nm,ptL); + ); + tmp2=tmp1; + ptL=append(ptL,tmp1); + ); + Listplot(nm+"ply",ptL,options); +); + +Putintersect(nm,pdata1,pdata2):=( +//help:Putintersect("Q","gr1","gr2"); + regional(pd1,pd2,tmp); + if(isstring(pdata1),pd1=parse(pdata1),pd1=pdata1); + if(isstring(pdata2),pd2=parse(pdata2),pd2=pdata2); + tmp=Intersectcrvs(pd1,pd2); + if(length(tmp)==1, + Putpoint(nm,tmp_1); + , + if(length(tmp)==0, + err("No intersect point"); + , + err("Multiple intersect points"); + println(tmp); + err("Choose point number"); + ); + ); +); +Putintersect(nm,pdata1,pdata2,ptno):=( + regional(pd1,pd2,tmp); + if(isstring(pdata1),pd1=parse(pdata1),pd1=pdata1); + if(isstring(pdata2),pd2=parse(pdata2),pd2=pdata2); + tmp=Intersectcrvs(pd1,pd2); + if(length(tmp)>0, + Putpoint(nm,tmp_ptno); + , + err("No intersect point"); + ); +); + +Arrowheaddata(point,direction):=Arrowheaddata(point,direction,[]); +Arrowheaddata(point,direction,options):=( +//help:Arrowheaddata(A,B); + regional(list,Ookisa,Hiraki,Futosa,Houkou,Str,Flg,tmp,Ev,Nv,pA,pB, + pP,rF,gG,Flg,Nj,Eps,tmp1,scx,scy); + Eps=10^(-3); + pP=point; + Ookisa=0.2*YaSize; + Hiraki=YaAngle; + Futosa=0; + Str=YaStyle; + tmp=Divoptions(options); + tmp1=tmp_6; + if(length(tmp1)>0,Ookisa=Ookisa*tmp1_1); + if(length(tmp1)>1, + tmp=tmp1_2; + if(tmp<5, + Hiraki=Hiraki*tmp; + , + Hiraki=tmp; + ); + ); + Flg=0; + Hiraki=Hiraki*pi/180; + if(isstring(direction),Houkou=parse(direction),Houkou=direction); + if(MeasureDepth(Houkou)==2,Houkou=Houkou_1); + if(islist(Houkou_1), +// pP=Lcrd(pP); +// pP=Doscaling(pP); +// Houkou=Dosscaling(Houkou); + pP=Pcrd(pP); + scy=SCALEY; + SCALEY=1; + tmp=Nearestpt(pP,Houkou); + pA=tmp_1; + rF=floor(tmp_2); + if(rF==1, + if(|Ptend(Houkou)-Ptstart(Houkou)|<Eps, + rF=Numptcrv(Houkou); + ); + ); + gG=apply(0..10,pP+Ookisa*cos(Hiraki)*[cos(2*pi/10*#),sin(2*pi/10*#)]); + Flg=0; + forall(1..rF,Nj, + if(Flg==0, + pB=Ptcrv(rF+1-Nj,Houkou); + tmp=IntersectcrvsPp([pA,pB],gG); + if(length(tmp)>0, + Houkou=pP-tmp_1_1; + Flg=1; + ); + pA=pB; + ); + ); + SCALEY=scy; + if(Flg==0, + println("Arrowhead may be too large (no intersect)"); + Flg=2; + ); + if(Flg==1, + Houkou=Unscaling(Houkou); + pP=Unscaling(pP); + ); + ); + if(Flg<2, +// pP=Doscaling(pP); +// Houkou=Doscaling(Houkou); + pP=Pcrd(pP); + if(!ispoint(point), + Houkou=Pcrd(Houkou); + ); +// if(MeasureDepth(Houkou)==0,Houkou=Pcrd(Houkou)); + Ev=-1/|Houkou|*Houkou; + Ev=Lcrd(Ev); + Nv=[-Ev_2, Ev_1]; + if(indexof(Str,"c")>0, + pP=pP-0.5*Ookisa*cos(Hiraki)*Ev; + ); + if(indexof(Str,"b")>0, + pP=pP-Ookisa*cos(Hiraki)*Ev; + ); + pA=pP+Ookisa*cos(Hiraki)*Ev+Ookisa*sin(Hiraki)*Nv; + pB=pP+Ookisa*cos(Hiraki)*Ev-Ookisa*sin(Hiraki)*Nv; + list=[pA,pP,pB]; + list=apply(list,LLcrd(#)); +// Out=Unscaling(Out); + list; + ); +); + +Arrowhead(point,Houkou):=Arrowhead(point,Houkou,[]); +Arrowhead(point,Houkou,options):=( +//help:Arrowhead(B,B-A,[1.5,30]); +//help:Arrowhead(A,"gr1"); + // global ArrowheadNumber + regional(name,Ltype,Noflg,reL,opstr,opcindy,ptstr,hostr,tmp,tmp1,list); + name="arh"+text(ArrowheadNumber); + ArrowheadNumber=ArrowheadNumber+1; + ptstr=textformat(point,5); + if(isstring(Houkou), // 15.01.11 + tmp=parse(Houkou); + if(MeasureDepth(tmp)<2, + hostr=Houkou; + , + hostr=Houkou+"(1)"; + ); + , + if(ispoint(point), + hostr=textformat(LLcrd(Houkou),5); + , + hostr=textformat(Houkou,5); + ); + ); + tmp=Divoptions(options); + Ltype=tmp_1; + Noflg=tmp_2; + reL=tmp_6; + opstr=tmp_(length(tmp)-1); + opcindy=tmp_(length(tmp)); + list=Arrowheaddata(point,Houkou,options); + if(Noflg<3, +// println("generate Arrowhead "+name); + tmp1=apply(list,Pcrd(#)); + tmp=name+"="+textformat(tmp1,5); + parse(tmp); +// GLIST=append(GLIST,name+"=Listplot("+list+")"); + ); + if(Noflg<2, + if(isstring(Ltype), + Ltype=GetLinestyle(text(1)+Ltype,name); + , +// if(Noflg==1,Ltype=0); + Ltype=0; + ); + GCLIST=append(GCLIST,[name,Ltype,opcindy]); + ); + if(Noflg==0, + if(length(reL)<3, // 16.04.09 from + forall(1..(2-length(reL)), + opstr=opstr+",1"; + ); + tmp=PenThick/PenThickInit; + opstr=opstr+","+text(tmp); + ); // 16.04.09 upto + Com2nd("Arrowhead("+ptstr+","+hostr+opstr+")"); + ); +); + +Arrowdata(ptlist):=Arrowdata(ptlist,[]); +Arrowdata(Arg1,Arg2):=( + regional(tmp,nm,ptlist,flg,pA,pB,options); + flg=0; + if(isstring(Arg1), + nm=Arg1; + ptlist=Arg2; + Arrowdata(nm,ptlist,[]); + flg=1; + ); + if(flg==0, + tmp=MeasureDepth(Arg1); + if(tmp==0, + pA=Arg1; + pB=Arg2; + Arrowdata(pA,pB,[]); + , + ptlist=Arg1; + options=Arg2; + nm=text(ArrowlineNumber); + ArrowlineNumber=ArrowlineNumber+1; + Arrowdata(nm,ptlist,options); + ); + ); +); +Arrowdata(Arg1,Arg2,options):=( +//help:Arrowdata([A,B],[2,10]); + regional(Retflg,nm,ptlist,name,opstr,opcindy,realL,strL,size, + flg,Ltype,Noflg,lineflg,tmp,tmp1,tmp2,pA,pB,segpos); + Retflg=0; + Noflg=0; + Ltype=0; + if(!isstring(Arg1), + pA=Arg1; + pB=Arg2; + Arrowdata(pA,pB,options,"old"); + Retflg=1; + ptlist=[pA,pB]; + ); + if(Retflg==0, + nm=Arg1; + ptlist=Arg2; + name="ar"+nm; + tmp=Divoptions(options); + Ltype=tmp_1; + Noflg=tmp_2; + realL=tmp_6; + strL=tmp_7; + opstr=tmp_(length(tmp)-1); + opcindy=tmp_(length(tmp)); + size=1; // 15.06.11 + if(length(realL)>0, + size=realL_1; + ); + tmp2=select(strL,indexof(#,"l")>0); // 16.04.09 + if(length(tmp2)>0,lineflg=1,lineflg=0); // 16.04.09 + segpos=1; + tmp1=tmp_5; + if(length(tmp1)>2, + segpos=tmp1_3; + ); + if(Noflg<3, +// println("generate Arrowdata "+name); + tmp1=apply(ptlist,Pcrd(#)); + tmp=name+"="+textformat(tmp1,5); + parse(tmp); + tmp1=Pcrd(ptlist_1);//16.10.20 + tmp2=Pcrd(ptlist_2);//16.10.20 + if(lineflg==0, // 16.04.09 from + tmp=tmp2-0.2*size/2*(tmp2-tmp1)/|tmp2-tmp1|; // 15.06.11 + , + tmp=tmp2; + ); // 16.04.09 upto + tmp=[LLcrd(tmp1),LLcrd(tmp)];//16.10.20 + GLIST=append(GLIST,name+"=Listplot("+textformat(tmp,5)+")"); + ); + if(Noflg<2, + if(isstring(Ltype), + Ltype=GetLinestyle(text(Noflg)+Ltype,name); + , + if(Noflg==1,Ltype=0); + ); + tmp=textformat(ptlist,5); + tmp=substring(tmp,1,length(tmp)-1); + tmp1=indexof(tmp,"],["); + if(tmp1>0, + pA=substring(tmp,0,tmp1); + pB=substring(tmp,tmp1+1,length(tmp)); + , + tmp1=indexof(tmp,","); + pA=substring(tmp,0,tmp1-1); + pB=substring(tmp,tmp1,length(tmp)); + ); + tmp1="Lcrd("+pA+")+" + +textformat(segpos,5)+"*(Lcrd("+pB+")-"+"Lcrd("+pA+"))"; + tmp1=parse(tmp1); + tmp2="Lcrd("+pB+")-Lcrd("+pA+")"; + tmp2=parse(tmp2); + Arrowhead(tmp1,tmp2,options); + GCLIST=append(GCLIST,[name,Ltype,opcindy]); + ); + ); + ptlist; +); +Arrowdata(pA,pB,options,str):=( + regional(ptA,ptB,opstr,Astr,Bstr,name,tmp,opcindy); + Astr=textformat(pA,5); + Bstr=textformat(pB,5); + name="ar"+pA.name+pB.name; + println("generate Arrow "+name); + opstr=""; + opcindy=""; + forall(options, + if(isstring(#), + if(indexof(#,"->")>0, + opcindy=opcindy+","+#; + , + tmp="'"+#+"'"; + ); + , + tmp=text(#); + ); + opstr=opstr+","+tmp; + ); + ptA=Lcrd(pA); + ptB=Lcrd(pB); + Arrowheaddata(ptB,ptB-ptA,options); + tmp="connect("+textformat([ptA,ptB],5) + +",linecolor->"+text(KCOLOR)+opcindy+");"; + parse(tmp); // 14.11.17 + Com2nd("Arrowline("+Astr+","+Bstr+opstr+")"); // 14.10.04 +); + +Anglemark(plist):=Anglemark(plist,[]); +Anglemark(Arg1,Arg2):=( // 2015.04.28 from + regional(nm,plist,options,tmp); + if(isstring(Arg1), + nm=Arg1; + plist=Arg2; + Anglemark(nm,plist,[]); + , + plist=Arg1; + options=Arg2; + tmp=textformat(plist,5); + tmp=replace(tmp,",",""); + nm=substring(tmp,1,length(tmp)-1); + Anglemark(nm,plist,options); + ); +); // upto +Anglemark(nm,plist,options):=( +//help:Anglemark([A,B,C],["E=\theta",2]); +//help:Anglemark("1",[A,B,C],["E=1.2,\theta",2]); +//help:Anglemark(options=["E/L=(sep,)letter",size]); + regional(name,Out,pB,pA,pC,Ctr,ra,sab,sac,ratio,opstr,Bname,Bpos, + Brat,tmp,tmp1,tmp2,Num,opcindy,Ltype,eqL,realL,Rg,Th,Noflg); + name="ag"+nm; + ra=0.5; + tmp=Divoptions(options); + Ltype=tmp_1; + Noflg=tmp_2; + opstr=tmp_(length(tmp)-1); + opcindy=tmp_(length(tmp)); + eqL=tmp_5; + realL=tmp_6; + Bname=""; + Brat=1.5; + Num=20; + if(length(realL)>0, + ra=realL_1*ra; + opstr=opstr+","+text(realL_1); + ); + forall(eqL, + if(substring(#,0,1)=="L",Bname="Letter("); + if(substring(#,0,1)=="E",Bname="Expr("); + Bpos="md"+name; + Bname=Bname+Bpos+","+Dq+"c"+Dq+","+Dq;//16.10.29 + tmp=substring(#,indexof(#,"="),length(#)); + tmp1=indexof(tmp,","); + Bname=Bname+substring(tmp,tmp1,length(tmp))+Dq+")"; + if(tmp1>0, + Brat=parse(substring(tmp,0,tmp1-1)); + ); + ); + pB=Lcrd(plist_1); pA=Lcrd(plist_2); pC=Lcrd(plist_3); + Ctr=Lcrd(pA); + sab=pB-pA; + sac=pC-pA; + Rg=[arctan2(sab)+0,arctan2(sac)+0]; + if(Rg_2<Rg_1,Rg_2=Rg_2+2*pi); + Out=[]; + forall(0..Num, + Th=Rg_1+#*(Rg_2-Rg_1)/Num; + Out=append(Out,Ctr+ra*[cos(Th),sin(Th)]); + ); + if(length(Bname)>0, + Th=(Rg_1+Rg_2)/2; + tmp1=Ctr+Brat*ra*[cos(Th),sin(Th)]; + tmp="Defvar("+Dq+Bpos+"="; + tmp=tmp+textformat(tmp1,5)+Dq+");"; + parse(tmp); + parse(Bname); + ); + if(Noflg<3, + println("generate anglemark "+name); + tmp1=apply(Out,Pcrd(#)); + tmp=name+"="+textformat(tmp1,5); + parse(tmp); + tmp=textformat(plist,5); + tmp1=substring(tmp,1,length(tmp)-1); + tmp=name+"=Anglemark("+tmp1+opstr+")"; + GLIST=append(GLIST,tmp); + ); + if(Noflg<2, + if(isstring(Ltype), + Ltype=GetLinestyle(text(Noflg)+Ltype,name); + , + if(Noflg==1,Ltype=0); + ); + GCLIST=append(GCLIST,[name,Ltype,opcindy]); + ); + Out; +); + +Paramark(plist):=Paramark(plist,[]); +Paramark(plist,options):=( +//help:Paramark([A,B,C],["E=\theta"]); + regional(name,Out,pB,pA,pC,ra,sab,sac,ratio,opstr,Bname,Bpos, + Brat,tmp,tmp1,tmp2,Ltype,Noflg,eqL,realL,opcindy); + tmp=textformat(plist,5); + tmp=replace(tmp,",",""); + tmp=substring(tmp,1,length(tmp)-1); + name="pm"+tmp; + tmp=Divoptions(options); + Ltype=tmp_1; + Noflg=tmp_2; + opstr=tmp_(length(tmp)-1); + opcindy=tmp_(length(tmp)); + eqL=tmp_5; + realL=tmp_6; + ra=0.5; + Bname=""; + Brat=1.2; + if(length(realL)>0, + tmp=realL_1; + ra=tmp*ra; + opstr=opstr+","+text(tmp); + ); + forall(eqL, + if(substring(#,0,1)=="L",Bname="Letter("); + if(substring(#,0,1)=="E",Bname="Expr("); + Bpos="md"+name; + Bname=Bname+Dq+Bpos+Dq+","+Dq+"c"+Dq+","+Dq; + tmp=substring(#,indexof(#,"="),length(#)); + tmp1=indexof(tmp,","); + Bname=Bname+substring(tmp,tmp1,length(tmp))+Dq+")"; + if(tmp1>0, + Brat=parse(substring(tmp,0,tmp1-1)); + ); + ); + pB=Lcrd(plist_1); pA=Lcrd(plist_2); pC=Lcrd(plist_3); + Ctr=Lcrd(pA); + Out=[]; + Out=append(Out,pA+ra*(pB-pA)/|pB-pA|); + Out=append(Out,pA+ra*(pB-pA)/|pB-pA|+ra*(pC-pA)/|pC-pA|); + Out=append(Out,pA+ra*(pC-pA)/|pC-pA|); + if(length(Bname)>0, + tmp1=pA+Brat*ra*(pB-pA)/|pB-pA|+Brat*ra*(pC-pA)/|pC-pA|; + tmp="Defvar("+Dq+Bpos+"="+textformat(tmp1,5)+Dq+");"; + parse(tmp); + parse(Bname); + ); + if(Noflg<3, + println("generate paramark "+name); + tmp1=apply(Out,Pcrd(#)); + tmp=name+"="+textformat(tmp1,5); + parse(tmp); + tmp1=substring(textformat(plist,5),1,length(textformat(plist,5))-1); + tmp=name+"=Paramark("+tmp1+opstr+")"; + GLIST=append(GLIST,tmp); + ); + if(Noflg<2, + if(isstring(Ltype), + Ltype=GetLinestyle(text(Noflg)+Ltype,name); + , + if(Noflg==1,Ltype=0); + ); + GCLIST=append(GCLIST,[name,Ltype,opcindy]); + ); + Out; +); + +MakeBowdata(pA,pB,Hgt):=( + regional(angle,pB2,pH2,pC2,pC,tmp,Th1,Th2,ra,dMA); + angle=arctan2(pB-pA)+0; + pB2=Rotatepoint(pB,-angle,pA); + tmp=Lcrd(pA); + pH2=[(tmp_1+pB2_1)/2,tmp_2-Hgt]; + dMA=|tmp-pB2|/2; + ra=(dMA^2+Hgt^2)/(2*Hgt); + pC2=[pH2_1,pB2_2+(ra-Hgt)]; + pC=Rotatepoint(pC2,angle,pA); + Th1=arctan2(pA-pC2)+angle; + Th2=arctan2(pB2-pC2)+angle; + [pC,ra,Th1,Th2]; +); + +Bowdata(nm,plist,options):=( +//help:Bowdata([C,A],[2,1.2,"Expr=10","da"]); +//help:Bowdata([A,B],["Expr=t0n3,a"]); +//help:Bowdata([A,B],["Exprrot=t0n2r,a"]); + regional(name,Out,pB,pA,pC,ra,tmp,tmp1,tmp2,Ltype,eqL,realL, + Bname,Bpos,Th,Cut,Num,Hgt,opstr,opcindy,Ydata,pC, + Th1,Th2,Noflg,Bops,Bmov,Tmov,Nmov,rev); + name="bw"+nm; + tmp=Divoptions(options); + Ltype=tmp_1; + Noflg=tmp_2; + opstr=tmp_(length(tmp)-1); + opcindy=tmp_(length(tmp)); + eqL=tmp_5; + realL=tmp_6; + pA=Lcrd(plist_1); pB=Lcrd(plist_2); + Hgt=1/2*|pB-pA|*0.2; + Cut=0; + Num=24; + Bname=""; + Tmov=0;//16.11.01from + Nmov=0; + Bmov=""; + rev=0;//16.11.01upto + if(length(realL)>0, + Hgt=realL_1*Hgt; // 15.04.12 + if(length(realL)>1,Cut=realL_2); + ); + forall(eqL, + tmp=substring(#,0,1); + if(tmp=="L" % tmp=="l", + if(indexof(#,"rot")>0, + Bname="Letterrot("; + , + Bname="Letter("; + ); + ); + if(tmp=="E" % tmp=="e", + if(indexof(#,"rot")>0, + Bname="Exprrot("; + , + Bname="Expr("; + ); + ); + tmp=indexof(#,"="); + Bops=substring(#,tmp,length(#)); // 16.11.01 + ); + Ydata=MakeBowdata(pA,pB,Hgt); + pC=Ydata_1; + ra=Ydata_2; + Th=(Ydata_3+Ydata_4)*0.5; + BOWMIDDLE=[pC_1+ra*cos(Th),pC_2+ra*sin(Th)]; + Bpos="md"+name; // 16.10.31from(moved) + tmp="Defvar("+Dq+Bpos+"="+textformat(BOWMIDDLE,5)+Dq+");"; + parse(tmp);// 16.10.31upto(moved) + if(length(Bname)>0, //16.11.01from + tmp=indexof(Bops,","); + if(tmp>0, + tmp1=substring(Bops,0,tmp-1); + if(length(tmp1)>=4 & substring(tmp1,0,1)=="t" & indexof(tmp1,"n")>0, + Bmov=tmp1; + Bops=substring(Bops,tmp,length(Bops)); + ); + ); + if(length(Bmov)>0, + tmp=indexof(Bmov,"t"); + if(tmp>0, + tmp1=indexof(Bmov,"n"); + Tmov=parse(substring(Bmov,tmp,tmp1-1)); + tmp=indexof(Bmov,"r"); + if(tmp>0, + Nmov=parse(substring(Bmov,tmp1,tmp-1)); + rev=1; + , + Nmov=parse(substring(Bmov,tmp1,length(Bmov))); + ); + ); + ); + Bname=Bname+Bpos;//16.11.01 + if(abs(Tmov)+abs(Nmov)>0, + tmp=Pcrd(pA)-Pcrd(pB); + tmp1=1/norm(tmp)*tmp; + tmp2=[-tmp1_2,tmp1_1]; + tmp=MARKLEN*(Tmov*tmp1+Nmov*tmp2); + tmp=LLcrd(tmp); + Bname=Bname+"+"+text(tmp); + ); + Bname=Bname+","; + if(indexof(Bname,"rot")>0, + if(rev==1,tmp=pB-pA,tmp=pA-pB); + Bname=Bname+textformat(tmp,5)+","; + , + Bname=Bname+Dq+"c"+Dq+","; + ); + Bname=Bname+Dq+Bops+Dq+")"; + parse(Bname); + );//16.11.01upto + if(Cut==0, + Th1=Ydata_3; + Th2=Ydata_4; + Out=[]; + forall(0..Num, + tmp=Th1+#*(Th2-Th1)/Num; + Out=append(Out,pC+ra*[cos(tmp),sin(tmp)]); + ); + , + Th1=Ydata_3; + Th2=Th-Cut/(2*ra); + tmp1=[]; + forall(0..Num/2, + tmp=Th1+#*(Th2-Th1)/(Num/2); + tmp1=append(tmp1,pC+ra*[cos(tmp),sin(tmp)]); + ); + Th1=Th+Cut/(2*ra); + Th2=Ydata_4; + tmp2=[]; + forall(0..Num/2, + tmp=Th1+#*(Th2-Th1)/(Num/2); + tmp2=append(tmp2,pC+ra*[cos(tmp),sin(tmp)]); + ); + Out=[tmp1,tmp2]; + ); + if(Noflg<3, + println("generate bowdata "+name+" and "+Bpos);//16.10.31 + if(MeasureDepth(Out)==1,Out=[Out]); + tmp1=[]; + forall(Out,tmp2, + tmp=apply(tmp2,Pcrd(#)); + tmp1=append(tmp1,tmp); + ); + tmp=name+"="+textformat(tmp1,5); + parse(tmp); + tmp1=substring(textformat(plist,5),1,length(textformat(plist,5))-1); + tmp=name+"=Bowdata("+tmp1+opstr+")"; + GLIST=append(GLIST,tmp); + ); + if(Noflg<2, + if(isstring(Ltype), + Ltype=GetLinestyle(text(Noflg)+Ltype,name); + , + if(Noflg==1,Ltype=0); + ); + GCLIST=append(GCLIST,[name,Ltype,opcindy]); + ); +); + +Deqplot(nm,deq,rng,initf):=Deqplot(nm,deq,rng,Lcrd(initf)_1,initf,[]); +Deqplot(nm,deq,rng,Arg1,Arg2):=( + regional(initt,initf,options); + if(isreal(Arg1) & length(Arg1)==1, + initt=Arg1; + initf=Arg2; + options=[]; + , + initf=Lcrd(Arg1); + initt=initf_1; + options=Arg2; + ); + Deqplot(nm,deq,rng,initt,initf,options); +); +Deqplot(nm,deq,rng,initt,initf,options):=( + regional(name,Noflg,Ltype,eqL,opstr,opcindy,pdL,var2,deq2,rng2,initt2,initf2, + tmp,tmp1,tmp2,tmp3,tmp4); + tmp=tokenize(deq,"="); + tmp1=tmp_1; + tmp2=tmp_2; + tmp3=tokenize(tmp1,"`"); + if(length(tmp3)==2, + if(indexof(tmp1,"[")>0, + Deqplot(nm,deq,rng,initt,initf,options,[2,3]); + , + if(indexof(rng,"=")>0,rng2=rng,rng2=rng+"=[XMIN,XMAX]"); + tmp=tokenize(rng2,"="); + deq2="["+tmp_1+","+replace(tmp1,"`","]")+"`=[1,"+tmp2+"]"; + rng2="t="+tmp_2; + if(isreal(initf) & length(initf)==1, + initf2=[initt,initf]; + initt2=initt; + , + initf2=Lcrd(initf)); + initt2=initf2_1; + Deqplot(nm,deq2,rng2,initt2,initf2,options,[2,3]); + ); + , + name="de"+nm; + tmp=Divoptions(options); + Ltype=tmp_1; + Noflg=tmp_2; + eqL=tmp_5; + opcindy=tmp_9; + opstr=""; + forall(eqL, + if(Toupper(substring(#,0,1))=="N", + tmp=indexof(#,"="); + tmp1="N="+substring(#,tmp,length(#)); + opstr=opstr+",'"+tmp1+"'"; + ); + ); + if(Noflg<1, + if(indexof(rng,"=")>0,rng2=rng,rng2=rng+"=[XMIN,XMAX]"); + var2="d"+tmp3_1; + deq2="["+tmp3_1+","+var2+"]`=["; + tmp=replace(tmp2,tmp3_1+"`",var2); + deq2=deq2+var2+","+tmp+"]"; + Deqplot(nm,deq2,rng2,initt,initf,append(options,"nodisp"),[1,2]); + parse(tmp); + tmp=name+"=Deqplot(Assign("+Dq+deq+Dq+"),'"+rng+"',"; + tmp=tmp+initt+","+initf+opstr+")"; + GLIST=append(GLIST,tmp); + ); + if(Noflg<2, + if(isstring(Ltype), + Ltype=GetLinestyle(text(Noflg)+Ltype,name); + , + if(Noflg==1,Ltype=0); + ); + GCLIST=append(GCLIST,[name,Ltype,opcindy]); + parse("de"+nm); + ); + ); +); +Deqplot(nm,deq,rng,initt,initf,options,Sel):=( +//help:Deqplot("2","y`=y*(1-y)","x",0, 0.5,["Num=100"]); +//help:Deqplot("1","y``=-y","x",0, [1,0]); +//help:Deqplot("3","[x,y]`=[x*(1-y),0.3*y*(x-1)]","t=[0,20]",[1,0.5]); + regional(Ltype,Noflg,Inflg,Outflg,strL,opstr,opcindy,Num, + outstr,name,func,xf,yf,pdL,Eps,Inf,t1,t2,tt,Vname,dt,funP,funN,flg, + kl1,kl2,kl3,kl4,x0,y0,x1,y1,tmp,tmp1,tmp2); + name="de"+nm; + tmp=Divoptions(options); + Ltype=tmp_1; + Noflg=tmp_2; + Inflg=tmp_3; + Outflg=tmp_4; + eqL=tmp_5; + strL=tmp_7; +// opstr=tmp_(length(tmp)-1); + opstr=""; + opcindy=tmp_(length(tmp)); + outstr=""; + forall(strL, + tmp=Toupper(substring(#,0,1)); + if(tmp=="S", + outstr="Sci"; + ); + ); + Num=50; + forall(eqL, + tmp=indexof(#,"="); + tmp2=substring(#,0,1); + tmp2=Toupper(tmp2); + tmp1=substring(#,tmp,length(#)); + opstr=opstr+",'"+tmp2+"="+tmp1+"'"; + if(Toupper(substring(#,0,1))=="N", + Num=parse(tmp1); + ); + ); + if(outstr=="Sci", + if(Inflg==0 & Outflg==0,Outflg=1;Inflg=1); + ); + if(Noflg<3, + if(outstr=="Sci", + if(Outflg==1, + println("Output Deqplot "+name); + SCIWRLIST=append(SCIWRLIST,name); + ); + if(Inflg==1, + println("Input Deqplot "+name); + if(length(SCIRELIST)==0, + ReadOutData(Fnameout); + ); + tmp=parse(name); + if(islist(tmp), + Extractdata(name,["nodisp"]); // 12.19 + ); + SCIRELIST=append(SCIRELIST,name); + ); + , + Eps=10^(-3); + Inf=10^3; + tmp=tokenize(deq,"="); + tmp1=tmp_1; + func=tmp_2; + tmp=indexof(tmp1,","); + xf=substring(tmp1,1,tmp-1); + yf=substring(tmp1,tmp,length(tmp1)); + tmp=indexof(yf,"]"); + yf=substring(yf,0,tmp-1); + tmp=tokenize(rng,"="); + Vname=tmp_1; + tmp=parse(tmp_2); + t1=tmp_1; + t2=tmp_2; + tmp="funP("+Vname+","+xf+","+yf+"):="+func+";"; + parse(tmp); + tmp=tokenize(func,","); + tmp1="-("+substring(tmp_1,1,length(tmp_1))+")"; + tmp2="-("+substring(tmp_2,0,length(tmp_2)-1)+")"; + tmp="funN("+Vname+","+xf+","+yf+"):=["+tmp1+","+tmp2+"];"; + parse(tmp); + dt=(t2-t1)/Num; + tt=initt; + tmp=Lcrd(initf); + x0=tmp_1; + y0=tmp_2; + pdL=[[tt,x0,y0]]; + flg=0; + forall(1..floor((t2-initt)/dt), + if(flg==0, + kl1=dt*funP(tt,x0,y0); + kl2=dt*funP(tt+dt/2,x0+kl1_1/2,y0+kl1_2/2); + kl3=dt*funP(tt+dt/2,x0+kl2_1/2,y0+kl2_2/2); + kl4=dt*funP(tt+dt,x0+kl3_1,y0+kl3_2);//16.10.14 + tmp1=[x0,y0]+(kl1+2*kl2+2*kl3+kl4)/6; + x0=tmp1_1; + y0=tmp1_2; + tt=initt+#*dt; + pdL=append(pdL,[tt,x0,y0]); + if(|tmp1|>Inf,flg=1); + ); + ); + tt=initt; + tmp=Lcrd(initf); + x0=tmp_1; + y0=tmp_2; + flg=0; + forall(1..floor((initt-t1)/dt), + if(flg==0, + kl1=dt*funN(tt,x0,y0); + kl2=dt*funN(tt+dt/2,x0+kl1_1/2,y0+kl1_2/2); + kl3=dt*funN(tt+dt/2,x0+kl2_1/2,y0+kl2_2/2); + kl4=dt*funN(tt+dt/2,x0+kl3_1/2,y0+kl3_2/2); + tmp1=[x0,y0]+(kl1+2*kl2+2*kl3+kl4)/6; + x0=tmp1_1; + y0=tmp1_2; + tt=initt-#*dt; + pdL=prepend([tt,x0,y0],pdL); + if(|tmp1|>Inf,flg=1); + ); + ); + println("Generate Deqplot "+name); + pdL=apply(pdL,#_Sel); + tmp1=apply(pdL,Pcrd(#)); + tmp=name+"="+textformat(tmp1,5); + parse(tmp); + ); + if(Noflg<1, + tmp=name+"=Deqplot(Assign("+Dq+deq+Dq+"),'"+rng+"',"; + tmp=tmp+initt+","+initf+opstr+")"; + GLIST=append(GLIST,tmp); + ); + ); + if(Noflg<2, + if(isstring(Ltype), + Ltype=GetLinestyle(text(Noflg)+Ltype,name); + , + if(Noflg==1,Ltype=0); + ); + if(outstr=="Sci", + if(Inflg==1, + GCLIST=append(GCLIST,[name,Ltype,opcindy]); + ); + , + GCLIST=append(GCLIST,[name,Ltype,opcindy]); + pdL; + ); + ); +); + +Enclosing(nm,plist):=EnclosingS(nm,plist); +Enclosing(nm,plist,options):=EnclosingS(nm,plist,options); +EnclosingS(nm,plist):=EnclosingS(nm,plist,[]); +EnclosingS(nm,plist,options):=( +//help:Enclosing("1",["sc2","crAB","sc2","Invert(sc1)"],[pt,"dr"]); + regional(name,AnsL,Start,Eps,EEps,S,Flg,Fdata,Gdata,KL,pt,qt, + t1,t2,t3,ii,nn,tmp,tmp1,tmp2,Ltype,Noflg,realL,eqL,opstr,opcindy); + name="en"+nm; + tmp=Divoptions(options); + Ltype=tmp_1; + Noflg=tmp_2; + eqL=tmp_5; + realL=tmp_6; + opstr=tmp_(length(tmp)-1); + opcindy=tmp_(length(tmp)); + Eps=10^(-3); + EEps=0.1; + Start=[]; + Flg=0; + forall(realL, + if(isList(#) % ispoint(#), + Start=Lcrd(#); // 15.09.12 + , + Flg=Flg+1; + if(Flg==1,Eps=#); + if(Flg==2,EEps=#); + ); + ); +// tmp1=concat([Eps,EEps],eqL); // 15.04.06 + Fdata=plist_1; + Gdata=plist_(length(plist)); + KL=IntersectcrvsPp(Fdata,Gdata); + if(length(KL)==1, + pt=KL_1_1; + t1=KL_1_2; + ); + if(length(KL)==0, + if(Numptcrv(Fdata)>Numptcrv(Gdata), + tmp=Nearestpt(Fdata,Gdata); + pt=tmp_1; + t1=tmp_2; + , + tmp=Nearestpt(Gdata,Fdata); + pt=tmp_3; + t1=tmp_4; + ); + ); + if(length(KL)>1, + if(Start==[], + err("No Start Point"); + , + pt=KL_1_1; + t1=KL_1_2; + tmp=|pt-Start|; + forall(2..length(KL),ii, // 15.04.20 + tmp1=KL_ii_1; + tmp2=|tmp1-Start|; // 15.04.20 + if(tmp2<tmp, + pt=tmp1; + t1=KL_ii_2; + tmp=tmp2; + ); + ); + ); + ); +// pt=Pcrd(pt); // 15.09.12 + Start=pt; + AnsL=[]; + forall(1..length(plist),nn, + Fdata=plist_nn; + if(nn>1, pt=qt); + if(nn==length(plist), + qt=Start; + , + Flg=0; + Gdata=plist_(nn+1); +// tmp1=concat([Eps,EEps],eqL); // 15.04.06 + KL=IntersectcrvsPp(Gdata,Fdata); + if(length(KL)==1, + tmp=KL_1; + qt=KL_1_1; + t3=KL_1_2; + Flg=10; + ); + if(length(KL)==0,Flg=1); + if(length(KL)>1, + tmp1=KL_1_1; + tmp2=KL_2_1; + tmp=|tmp1-tmp2|; + if(tmp<Eps*10, Flg=1); + ); + if(Flg==1, + if(Numptcrv(Fdata)>Numptcrv(Gdata), + tmp=Nearestpt(Fdata,Gdata); + qt=tmp_1; + t3=tmp_4; + Flg=10; + , + tmp=Nearestpt(Gdata,Fdata); + qt=tmp_3; + t3=tmp_2; + Flg=10; + ); + ); + if(Flg<10, + t2=10^6; //%inf; + forall(1..length(KL),ii, + tmp1=KL_ii_1; + tmp=KL_ii_3; + tmp2=ParamonCurve(tmp1,tmp,Fdata); + tmp3=KL_ii_2; + if(tmp2>t1+Eps & tmp2<t2+Eps, + qt=tmp1; + t2=tmp2; + t3=tmp3; + ); + ); + ); + ); + tmp=Partcrv("",pt,qt,Fdata,["nodata"]); + t1=t3; + if(nn==1, + AnsL=tmp; + , + AnsL=concat(AnsL,tmp_(2..length(tmp))); + ); + ); + AnsL=apply(AnsL,Pcrd(#)); // 15.09.12 + AnsL_(length(AnsL))=AnsL_1;//16.10.20 + if(Noflg<3, + println("generate Enclosing "+name); + tmp=name+"="+textformat(AnsL,5); + parse(tmp); +// tmp=name+"=Enclosing(";//16.10.20from +// tmp1="list("; +// forall(plist, +// tmp1=tmp1+#+","; +// ); +// tmp=tmp+substring(tmp1,0,length(tmp1)-1)+")"+opstr+")"; + tmp=apply(AnsL,LLcrd(#)); + tmp=name+"=Listplot("+textformat(tmp,5)+")";//16.10.20upto + GLIST=append(GLIST,tmp); + ); + if(Noflg<2, + if(isstring(Ltype), + Ltype=GetLinestyle(text(Noflg)+Ltype,name); + , + if(Noflg==1,Ltype=0); + ); + GCLIST=append(GCLIST,[name,Ltype,opcindy]); + ); + tmp=apply(AnsL,LLcrd(#));//16.10.20 + tmp; +); + +Shade(plist):=Shade(plist,[]); +Shade(plist,options):=( +//help:Shade(["gr2","sg1"],[0.5]); +//help:Shade([pointlist],[0.5]); + regional(tmp,tmp1,tmp2,opstr,opcindy,Str,G2,flg); + if(isstring(plist_1), // 16.01.24 + println("output Shade of "+plist); + , + println("output Shade of lists"); + ); + tmp=Divoptions(options); + opstr=tmp_(length(tmp)-1); + opcindy=tmp_(length(tmp)); + flg=0; + forall(plist, + if(flg==0, + if(isstring(#),tmp=parse(#),tmp=#); // from 16.01.24 + if(!islist(tmp),flg=1); upto + ); + ); + if(flg==1, +// err("some data not defined yet"); + , + G2=Joincrvs("1",plist,["nodata"]); + G2=apply(G2,Pcrd(#)); + tmp1="fillpoly("+textformat(G2,5)+opcindy+");"; + parse(tmp1); + ); + Str="Shade("; + tmp1="list("; + forall(plist, + if(isstring(#), // from 16.01.24 + if(length(#)>1, + tmp1=tmp1+#+","; + , + tmp1=tmp1+Dq+#+Dq+","; + ); + , + tmp1=tmp1+"Listplot("+textformat(#,5)+"),"; + ); // upto 16.01.24 + ); + Str=Str+substring(tmp1,0,length(tmp1)-1)+")"+opstr+")"; + Com2nd(Str); +); + + +//help:start(); + +Rotatepoint(point,Theta,ctr):=( +//help:Rotatepoint(A,2*pi/3,B); + regional(X1,X2,Y1,Y2,Cx,Cy,tmp); + tmp=Lcrd(point); + X1=tmp_1; Y1=tmp_2; + tmp=Lcrd(ctr); + Cx=tmp_1; Cy=tmp_2; + X2=Cx+(X1-Cx)*cos(Theta)-(Y1-Cy)*sin(Theta); + Y2=Cy+(X1-Cx)*sin(Theta)+(Y1-Cy)*cos(Theta); + [X2,Y2]; +); + +Translatepoint(point,mov):=( +//help:Translatepoint(A,[2,3]); + regional(X1,X2,Y1,Y2,Cx,Cy,tmp); + tmp=Lcrd(point); + X1=tmp_1; Y1=tmp_2; + tmp=Lcrd(mov); + Cx=tmp_1; Cy=tmp_2; + X2=X1+Cx; + Y2=Y1+Cy; + [X2,Y2]; +); + +Scalepoint(point,ratio,center):=( +//help:Scalepoint(A,[3,2],[0,0]); + regional(X1,X2,Y1,Y2,Cx,Cy,tmp); + tmp=Lcrd(point); + X1=tmp_1; Y1=tmp_2; + tmp=Lcrd(center); + Cx=tmp_1; Cy=tmp_2; + X2=Cx+ratio_1*(X1-Cx); + Y2=Cy+ratio_2*(Y1-Cy); + [X2,Y2]; +); + +Reflectpoint(point,symL):=( +//help:Reflectpoint(A,B); +//help:Reflectpoint(A,[[2,3]]); +//help:Reflectpoint(A,[C,E]);\\ + regional(X1,X2,Y1,Y2,Us,Vs,Pt1,Pt2,Cx,Cy,tmp); + tmp=Lcrd(point); + X1=tmp_1; Y1=tmp_2; + Pt1=Lcrd(symL_1); + if(length(symL)==1, + Pt2=Pt1; + , + Pt2=Lcrd(symL_2); + ); + Us=Pt2_1-Pt1_1; + Vs=Pt2_2-Pt1_2; + if(Pt1==Pt2, + X2=2*Pt1_1-X1; + Y2=2*Pt1_2-Y1; + , + X2=(Us^2-Vs^2)/(Us^2+Vs^2)*X1+2*Us*Vs/(Us^2+Vs^2)*Y1 + -2*Vs*(Us*Pt1_2-Vs*Pt1_1)/(Us^2+Vs^2); + Y2=2*Us*Vs/(Us^2+Vs^2)*X1-(Us^2-Vs^2)/(Us^2+Vs^2)*Y1 + +2*Us*(Us*Pt1_2-Vs*Pt1_1)/(Us^2+Vs^2); + ); + [X2,Y2]; +); + +Rotatedata(nm,plist,Theta):=Rotatedata(nm,plist,Theta,[]); +Rotatedata(nm,plist,angle,options):=( +//help:Rotatedata("1","crAB",pi/3,[[1,5],"dr,2"]); + regional(tmp,tmp1,tmp2,pdata,Theta,Pt,Cx,Cy,PdLL,PdL, + opcindy,Nj,Njj,Kj,Mj,X1,Y1,X2,Y2,Ltype,Noflg,name); + name="rt"+nm; + Pt=[0,0]; + tmp=Divoptions(options); + Ltype=tmp_1; + Noflg=tmp_2; + opcindy=tmp_(length(tmp)); + tmp1=tmp_6; + if(length(tmp1)>0,Pt=Lcrd(tmp1_1)); + pdata=plist; + if(isstring(pdata),pdata=[pdata]); + if(!isstring(pdata_1) & MeasureDepth(pdata)==1, + pdata=[pdata]; + ); + if(isstring(angle),Theta=parse(angle),Theta=angle); + Cx=Pt_1; Cy=Pt_2; + PdL=[]; + forall(pdata,Njj, + if(isstring(Njj),Kj=parse(Njj),Kj=Njj); + if(MeasureDepth(Kj)==1,Kj=[Kj]); + tmp2=[]; + forall(Kj,Nj, + tmp1=[]; + forall(Nj, + tmp=LLcrd(#); + X1=tmp_1; + Y1=tmp_2; + X2=Cx+(X1-Cx)*cos(Theta)-(Y1-Cy)*sin(Theta); + Y2=Cy+(X1-Cx)*sin(Theta)+(Y1-Cy)*cos(Theta); + tmp1=concat(tmp1,[[X2,Y2]]); + ); + tmp2=concat(tmp2,[tmp1]); + ); + PdL=concat(PdL,tmp2); + ); + if(Noflg<3, + println("generate Rotatedata "+name); + tmp1=[]; + forall(PdL,tmp2, + tmp=apply(tmp2,Pcrd(#)); + tmp1=append(tmp1,tmp); + ); + if(length(tmp1)==1,tmp1=tmp1_1); + tmp=name+"="+textformat(tmp1,5); + parse(tmp); +// tmp1=textformat(plist,5); + tmp1=text(plist); // 15.10.15 + tmp1=replace(tmp1,"[","list("); + tmp1=replace(tmp1,"]",")"); + tmp=name+"=Rotatedata("+tmp1+"," + +textformat(angle,5)+","+textformat(Pt,5)+")"; + GLIST=append(GLIST,tmp); + ); + if(Noflg<2, + if(isstring(Ltype), + Ltype=GetLinestyle(text(Noflg)+Ltype,name); + , + if(Noflg==1,Ltype=0); + ); + GCLIST=append(GCLIST,[name,Ltype,opcindy]); + ); + PdL; +); + +translatedata(nm,plist,mov):=translatedata(nm,plist,mov,[]); +translatedata(nm,plist,mov,options):=( +//help:translatedata("1",["gr1"],[1,2]); + regional(tmp,tmp1,tmp2,pdata,Cx,Cy,PdL,Nj,Njj,Kj, + opcindy,X2,Y2,Ltype,Noflg,name); + name="tr"+nm; + tmp=Divoptions(options); + Ltype=tmp_1; + Noflg=tmp_2; + opcindy=tmp_(length(tmp)); + pdata=plist; + if(isstring(pdata),pdata=[pdata]); + if(!isstring(pdata_1) & MeasureDepth(pdata)==1, + pdata=[pdata]; + ); + tmp=Lcrd(mov); + Cx=tmp_1; Cy=tmp_2; + PdL=[]; + forall(pdata,Njj, + if(isstring(Njj),Kj=parse(Njj),Kj=Njj); + if(MeasureDepth(Kj)==1,Kj=[Kj]); + tmp2=[]; + forall(Kj,Nj, + tmp1=[]; + forall(Nj, + tmp=LLcrd(#); + X2=tmp_1+Cx; + Y2=tmp_2+Cy; + tmp1=concat(tmp1,[[X2,Y2]]); + ); + tmp2=concat(tmp2,[tmp1]); + ); + PdL=concat(PdL,tmp2); + ); + if(Noflg<3, + println("generate translatedata "+name); + tmp1=[]; + forall(PdL,tmp2, + tmp=apply(tmp2,Pcrd(#)); + tmp1=append(tmp1,tmp); + ); + if(length(tmp1)==1,tmp1=tmp1_1); + tmp=name+"="+textformat(tmp1,5); + parse(tmp); +// tmp1=textformat(plist,5); + tmp1=text(plist); // 15.10.15 + tmp1=replace(tmp1,"[","list("); + tmp1=replace(tmp1,"]",")"); + tmp=name+"=translatedata("+tmp1+","+textformat(mov,5)+")"; + GLIST=append(GLIST,tmp); + ); + if(Noflg<2, + if(isstring(Ltype), + Ltype=GetLinestyle(text(Noflg)+Ltype,name); + , + if(Noflg==1,Ltype=0); + ); + GCLIST=append(GCLIST,[name,Ltype,opcindy]); + ); + PdL; +); + +Scaledata(nm,plist,ratioV):=( + regional(tmp); + tmp=Lcrd(ratioV); + Scaledata(nm,plist,tmp_1,tmp_2,[]); +); +Scaledata(nm,plist,Arg1,Arg2):=( +//help:Scaledata("1","crAB",3,2,[[0,0]]); + regional(tmp,options); + if(islist(Arg2), + tmp=Lcrd(Arg1); + options=Arg2; + Scaledata(nm,plist,tmp_1,tmp_2,options); + , + Scaledata(nm,plist,Arg1,Arg2,[]); + ); +); +Scaledata(nm,plist,rx,ry,options):=( + regional(tmp,tmp1,tmp2,pdata,Theta,Pt,Cx,Cy,PdL, + opcindy,Nj,Njj,Kj,X2,Y2,Ltype,Noflg,name); + name="sc"+nm; + Pt=[0,0]; + tmp=Divoptions(options); + Ltype=tmp_1; + Noflg=tmp_2; + opcindy=tmp_(length(tmp)); + tmp1=tmp_6; + if(length(tmp1)>0, + Pt=Lcrd(tmp1_1); + ); + pdata=plist; + if(isstring(pdata),pdata=[pdata]); + if(!isstring(pdata_1) & MeasureDepth(pdata)==1, + pdata=[pdata]; + ); + Cx=Pt_1; Cy=Pt_2; + PdL=[]; + forall(pdata,Njj, + if(isstring(Njj),Kj=parse(Njj),Kj=Njj); + if(MeasureDepth(Kj)==1,Kj=[Kj]); + tmp2=[]; + forall(Kj,Nj, + tmp1=[]; + forall(Nj, + tmp=LLcrd(#); + X2=Cx+rx*(tmp_1-Cx); + Y2=Cy+ry*(tmp_2-Cy); + tmp1=concat(tmp1,[[X2,Y2]]); + ); + tmp2=concat(tmp2,[tmp1]); + ); + PdL=concat(PdL,tmp2); + ); + if(Noflg<3, + println("generate Scaledata "+name); + tmp1=[]; + forall(PdL,tmp2, + tmp=apply(tmp2,Pcrd(#)); + tmp1=append(tmp1,tmp); + ); + if(length(tmp1)==1,tmp1=tmp1_1); + tmp=name+"="+textformat(tmp1,5); + parse(tmp); + tmp1=text(plist); // 15.10.15 + tmp1=replace(tmp1,"[","list("); + tmp1=replace(tmp1,"]",")"); + tmp=name+"=Scaledata("+tmp1+"," + +textformat(rx,5)+","+textformat(ry,5)+","+textformat(Pt,5)+")"; + GLIST=append(GLIST,tmp); + ); + if(Noflg<2, + if(isstring(Ltype), + Ltype=GetLinestyle(text(Noflg)+Ltype,name); + , + if(Noflg==1,Ltype=0); + ); + GCLIST=append(GCLIST,[name,Ltype,opcindy]); + ); + PdL; +); + +Reflectdata(nm,plist,symL):=Reflectdata(nm,plist,symL,[]); +Reflectdata(nm,plist,symL,options):=( +//help:Reflectdata("1","crAB",[C]); + regional(tmp,tmp1,tmp2,pdata,Us,Vs,Pt1,Pt2,Cx,Cy,PdL, + opcindy,Nj,Njj,Kj,X1,Y1,X2,Y2,Ltype,Noflg,name); + name="re"+nm; + Pt=[0,0]; + tmp=Divoptions(options); + Ltype=tmp_1; + Noflg=tmp_2; + opcindy=tmp_(length(tmp)); + pdata=plist; + if(isstring(pdata),pdata=[pdata]); + if(!isstring(pdata_1) & MeasureDepth(pdata)==1, + pdata=[pdata]; + ); + Pt1=Lcrd(symL_1); + if(length(symL)==1, + Pt2=Pt1; + , + Pt2=Lcrd(symL_2); + ); + Us=Pt2_1-Pt1_1; + Vs=Pt2_2-Pt1_2; + PdL=[]; + forall(pdata,Njj, + if(isstring(Njj),Kj=parse(Njj),Kj=Njj); + if(MeasureDepth(Kj)==1,Kj=[Kj]); + tmp2=[]; + forall(Kj,Nj, + tmp1=[]; + forall(Nj, + tmp=LLcrd(#); + X1=tmp_1; + Y1=tmp_2; + if(Pt1==Pt2, + X2=2*Pt1_1-X1; + Y2=2*Pt1_2-Y1; + , + X2=(Us^2-Vs^2)/(Us^2+Vs^2)*X1+2*Us*Vs/(Us^2+Vs^2)*Y1 + -2*Vs*(Us*Pt1_2-Vs*Pt1_1)/(Us^2+Vs^2); + Y2=2*Us*Vs/(Us^2+Vs^2)*X1-(Us^2-Vs^2)/(Us^2+Vs^2)*Y1 + +2*Us*(Us*Pt1_2-Vs*Pt1_1)/(Us^2+Vs^2); + ); + tmp1=concat(tmp1,[[X2,Y2]]); + ); + tmp2=concat(tmp2,[tmp1]); + ); + PdL=concat(PdL,tmp2); + ); + if(Noflg<3, + println("generate Reflectdata "+name); + tmp1=[]; + forall(PdL,tmp2, + tmp=apply(tmp2,Pcrd(#)); + tmp1=append(tmp1,tmp); + ); + if(length(tmp1)==1,tmp1=tmp1_1); + tmp=name+"="+textformat(tmp1,5); + parse(tmp); +// tmp1=textformat(plist,5); + tmp1=text(plist); // 15.10.15 + tmp1=replace(tmp1,"[","list("); + tmp1=replace(tmp1,"]",")"); + tmp=name+"=Reflectdata("+tmp1+","+textformat(symL,5)+")"; + GLIST=append(GLIST,tmp); + ); + if(Noflg<2, + if(isstring(Ltype), + Ltype=GetLinestyle(text(Noflg)+Ltype,name); + , + if(Noflg==1,Ltype=0); + ); + GCLIST=append(GCLIST,[name,Ltype,opcindy]); + ); + PdL; +); + +Mksegments():=Mksegments([]); +Mksegments(options):=( +//help:Mksegments(); + regional(segstr,p,q,r,tmp1,tmp2,tmp3); + forall(allsegments(),seg, + str=text(inspect(seg,"definition")); + tmp1=indexof(str,"("); + tmp2=indexof(str,";"); + tmp3=indexof(str,")"); + p=substring(str,tmp1,tmp2-1); + q=substring(str,tmp2,tmp3-1); + Listplot([parse(p),parse(q)]); + ); +); + +Mkcircles():=Mkcircles([]); +Mkcircles(options):=( +//help:Mkcircles(): + regional(seg,cir,str,p,q,r,tmp1,tmp2,tmp3,tmp4); + forall(allcircles(),cir, + str=text(inspect(cir,"definition")); + tmp1=indexof(str,"("); + tmp2=indexof(str,";"); + tmp3=indexof(str,")"); + tmp4=indexof(str,";",tmp2+1); + if(tmp4==0, + p=substring(str,tmp1,tmp2-1); + q=substring(str,tmp2,tmp3-1); + Circledata([parse(p),parse(q)]); + , + p=substring(str,tmp1,tmp2-1); + q=substring(str,tmp2,tmp4-1); + r=substring(str,tmp4,tmp3-1); + Circledata([parse(p),parse(q),parse(r)]); + ); + ); +); + +Makesciarg(arglist):=( + regional(str,tmpstr); + str=""; + forall(arglist, + if(isstring(#), + tmpstr=Dq+#+Dq; + , + tmpstr=textformat(#,5); + ); + str=str+tmpstr+","; + ); + str=substring(str,0,length(str)-1); + str; +); + +Setax(arglist):=( +//help:Setax(["l","x","e","y","n","O","sw"]); +//help:Setax([7,"nw"]); + regional(tmp); + tmp=Makesciarg(arglist); + Com1st("Setax("+tmp+")"); +); + +Htickmark(arglist):=( +//help:Htickmark([1,"1",2,"sw","2"]); + regional(tmp); + tmp=""; + tmp=Makesciarg(arglist); + Com2nd("Htickmark("+tmp+")"); +); + +Vtickmark(arglist):=( +//help:Vtickmark([1,"1",2,"sw","2"]); + regional(tmp); + tmp=Makesciarg(arglist); + Com2nd("Vtickmark("+tmp+")"); +); + +Drwxy():=( +//help:Drwxy(); + Com2nd("Drwxy()"); + Addax(0); // 16.01.21 +); + +Drwpt(pstr):=Drawpoint(pstr); +Drwpt(ptlist,nn):=( // 16.03.05 from +//help:Drwpt(A); +//help:Drwpt("[1,1],0"); +//help:Drwpt(A,0); +//help:Drwpt([1,2],0); + Drawpoint(ptlist,nn); +); +Drawpoint(pstr):=( + if(isstring(pstr), + println("Drwpt : "+pstr); + Com2nd("Drwpt("+pstr+")"); + , + Drawpoint(pstr,1); + ); +); +Drawpoint(ptlistorg,nn):=( + regional(ptlist,thick,tmp,tmp1); + println("Drwpt : "+text(ptlistorg)); + if(islist(ptlistorg), + if(MeasureDepth(ptlistorg)==1, + ptlist=ptlistorg + , + ptlist=[ptlistorg] + ); + , + ptlist=[ptlistorg] + ); + thick=PenThick/PenThickInit;// 16.04.09 from + tmp1=max(TenSize/TenSizeInit,1)/8; + Setpen(tmp1); // 16.04.09 upto + forall(ptlist, + tmp=textformat(#,5)+","+text(nn); + Com2nd("Drwpt("+tmp+")"); // 16.04.09 + ); + Setpen(thick); // 16.04.09 +);// 16.03.05 upto + +Addax(param):=( +//help:Addax(0); + ADDAXES=text(param); +); + +Expr(Pt,Dr,St):=Expr([Pt,Dr,St]); +Expr(list):=Expr(list,[]); +Expr(listorg,options):=( //16.10.09 +//help:Expr([A,"e","f(x)=x^2"]); + regional(list,str,tmp,tmp1,tmp2); + list=listorg; + forall(1..round(length(list)/3), + str=list_(3*#); + if(!isstring(str),str=format(str,5)); + str="$"+str+"$"; + list_(3*#)=str; + ); + Letter(list,options); +); + +Letter(Pt,Dr,St):=Letter([Pt,Dr,St]); +Letter(list):=Letter(list,[]); +Letter(list,options):=( +//help:Letter([C,"c","Graph of f(x)"]); + regional(Nj,Pos,Dir,Str,Off,Dmv,Xmv,Ymv,Noflg,opcindy, + opL,aln,sz,clr,bld,ita,tmp,tmp1,tmp2); + tmp=Divoptions(options); + Noflg=tmp_2; + opL=select(options,indexof(#,"->")>0); //16.10.09from + tmp=select(opL,indexof(#,"color")); + size=12; + clr=[0,0,0]; + bld=false; + ita=false; + aln="left"; + forall(opL, + tmp=indexof(#,"->"); + tmp1=removespace(substring(#,0,tmp-1)); + tmp2=substring(#,tmp+1,length(#)); + if(tmp1=="size",sz=parse(tmp2)); + if(tmp1=="color",clr=parse(tmp2)); + if(tmp1=="bold",bld=parse(tmp2)); + if(tmp1=="ita",ita=parse(tmp2)); + );//16.10.09upto + Off=-4; + Dmv=8; + Nj=1; + while(Nj+2<=length(list), +// Pos=textformat(list_Nj,5); + Pos=list_Nj; + Dir=list_(Nj+1); + tmp=indexof(Dir,"s")+indexof(Dir,"n");//16.10.19from + if(tmp>0, + tmp=indexof(Dir,"w")+indexof(Dir,"e"); + if(tmp==0, + Dir="c"+Dir;//16.10.08 + ); + );//16.10.19upto + Str=list_(Nj+2); + if(!isstring(Str),Str=format(Str,5)); // 16.09.30,10.09 + tmp=replace(Str,".xy",""); + tmp=replace(tmp,".x","(1)"); + Str=replace(tmp,".y","(2)"); + if(indexof(Str,"`")>0, +// tmp=Dq+",Assign('"+Str+"','`',Prime()))"; + tmp=Dq+",Assign('"+Str+"'))"; // 15.02.22 + , + tmp=Dq+","+Dq+Str+Dq+")"; + ); + if(Noflg==0, + Com2nd("Letter("+Lcrd(Pos)+","+Dq+Dir+tmp);//16.10.10 + ); + if(Noflg<2, + Xmv=0;//16.10.13 + Ymv=-4; + if(indexof(Dir,"n")>0, + Ymv=Dmv/2; + ); + if(indexof(Dir,"s")>0, + Ymv=-Dmv*3/2;//16.10.13 + ); + if(indexof(Dir,"e")>0, + Xmv=Dmv/2; + Off=0; + aln="left"; + ); + if(indexof(Dir,"w")>0, + Xmv=-Dmv/2; + Off=0; // 16.09.30from + aln="right"; + ); + if(indexof(Dir,"c")>0, + Xmv=0;//16.10.13 + Off=0; + if(Ymv==0,Ymv=-4);//16.10.08 + aln="mid"; // 16.09.30upto + ); + drawtext(Pcrd(Pos),Str,offset->[Off+Xmv,Off+Ymv], + size->sz,color->clr,align->aln,bold->bld,italics->ita);//16.10.09 + ); + Nj=Nj+3; + ); +); + +Letterrot(pt,dir,str):=Letterrot(pt,dir,0,0,str); +Letterrot(pt,dir,movstr,str):=( +//help:Letterrot(C,B-A,"AB"): +//help:Letterrot(C,B-A,0,5,"AB"): +//help:Letterrot(C,B-A,"t0n5","AB"): + regional(tmov,nmov,tmp,tmp1,tmp2); + tmp1=indexof(movstr,"t"); + tmp2=indexof(movstr,"n"); + if(tmp1>0, + if(tmp2>0,tmp=tmp2-1,tmp=length(movstr)); + tmov=parse(substring(movstr,tmp1,tmp)); + , + tmov=0; + ); + if(tmp2>0, + nmov=parse(substring(movstr,tmp2,length(movstr))); + , + nmov=0; + ); + Letterrot(pt,dir,tmov,nmov,str); +); +Letterrot(pt,dir,tmov,nmov,str):=( + Letter([pt,"c",str],["notex"]); + Com2nd("Letterrot("+pt+","+dir+","+tmov+","+nmov+",'"+str+"')"); +); + +Exprrot(pt,dir,str):=Exprrot(pt,dir,0,0,str); +Exprrot(pt,dir,movstr,str):=( +//help:Exprrot(C,B-A,"d"): +//help:Exprrot(C,B-A,0,5,"d"): +//help:Exprrot(C,B-A,"t0n5","d"): + regional(tmov,nmov,tmp,tmp1,tmp2); + tmp1=indexof(movstr,"t"); + tmp2=indexof(movstr,"n"); + if(tmp1>0, + if(tmp2>0,tmp=tmp2-1,tmp=length(movstr)); + tmov=parse(substring(movstr,tmp1,tmp)); + , + tmov=0; + ); + if(tmp2>0, + nmov=parse(substring(movstr,tmp2,length(movstr))); + , + nmov=0; + ); + Exprrot(pt,dir,tmov,nmov,str); +); +Exprrot(pt,dir,tmov,nmov,str):=( + Expr([pt,"c",str],["notex"]); + Com2nd("Exprrot("+pt+","+dir+","+tmov+","+nmov+",'"+str+"')"); +); + +Slider(ptstr,p1,p2):=( //17.04.11 +//help:Slider("A-C-B",[-3,0],[3,0]); + regional(pA,pB,pC,seg,sname,Alpha,tmp,tmp1); + tmp=indexall(ptstr,"-"); + pA=substring(ptstr,0,tmp_1-1); + pC=substring(ptstr,tmp_1,tmp_2-1); + pB=substring(ptstr,tmp_2,length(ptstr)); + seg=pA+pB; + Alpha="ABCDEFGHIJKLMNOPQRSTUVWXYZ"; + sname=""; + forall(1..(length(seg)), + tmp=substring(seg,#-1,#); + tmp1=indexof(Alpha,tmp); + if(tmp1>0, + sname=sname+unicode(text(tmp1+96),base->10); + , + sname=sname+tmp; + ); + ); + Putpoint(pA,p1); + Putpoint(pB,p2); + Listplot([parse(pA),parse(pB)],["notex","color->[0,0.4,0.4]","size->2"]); +// create([sname],"Segment",[parse(pA),parse(pB)]); +// tmp2=Listplot("",[p1,p2],["nodata"]); + Putonseg(pC,parse("sg"+pA+pB)); +// create([pC],"PointOn",[parse(sname),0.5]); +); + +Putpoint(name,Pt):=Putpoint(name,Pt,Pt); +Putpoint(name,Ptinit,Pt):=( +//help:Putpoint("A",[1,2],[1,A.y]); + regional(ptstr); + ptstr=apply(allpoints(),#.name); + if(!contains(ptstr,name), + createpoint(name,Pcrd([Ptinit_1,Ptinit_2])); + , + ptstr=name+".xy="+textformat(Pcrd(Pt),5); + parse(ptstr); + ); +); + +Bezierpt(t,ptlist,ctrlist):=( + regional(flg3,p0,p1,p2,p3,p4,p5,p6,p7,p8,p9); + p0=ptlist_1; + p3=ptlist_2; + p1=ctrlist_1; + if(length(ctrlist)==1, + p2=p3; + flg3=0; + , + p2=ctrlist_2; + flg3=1; + ); + if(length(p0)<3, // 15.02.08 + p0=Lcrd(p0); + p3=Lcrd(p3); + p1=Lcrd(p1); + p2=Lcrd(p2); + ); + p4=(1-t)*p0+t*p1; + p5=(1-t)*p1+t*p2; + p6=(1-t)*p2+t*p3; + p7=(1-t)*p4+t*p5; + p8=(1-t)*p5+t*p6; + p9=(1-t)*p7+t*p8; + if(flg3==0,p7,p9); +); + +Bezier(ptctrlist):=BezierCurve(ptctrlist_3,ptctrlist_1,ptctrlist_2,[]); +Bezier(ptctrlist,options):=BezierCurve(ptctrlist_3,ptctrlist_1,ptctrlist_2,options); +Bezier(nm,ptlist,ctrlist):=BezierCurve(nm,ptlist,ctrlist,[]); +Bezier(nm,ptlist,ctrlist,options):=BezierCurve(nm,ptlist,ctrlist,options); +BezierCurve(nm,ptlist,ctrlist):=BezierCurve(nm,ptlist,ctrlist,[]); +BezierCurve(nm,ptlistorg,ctrlistorg,options):=( +//help:Bezier("1",[A,D],[B,C]); +//help:Bezier(options=["Num=10"]); + regional(name,Ltype,Noflg,opstr,opcindy,Num, + ptlist,ctrlist,tmp,tmp1,tmp2,ii,st,out,list); + name="bz"+nm; + tmp=Divoptions(options); + Ltype=tmp_1; + Noflg=tmp_2; + opstr=tmp_(length(tmp)-1); + opcindy=tmp_(length(tmp)); + Num=10; + tmp1=tmp_5; + forall(tmp1, // 14.12.31 + if(substring(#,0,1)=="N", + tmp2=indexof(#,"="); + Num=parse(substring(#,tmp2,length(#))); + opstr=opstr+","+Dq+#+Dq; + ); + ); + ptlist=apply(ptlistorg,Lcrd(#)); // 16.08.16 + ctrlist=[]; // 14.12.31 + if(length(ctrlistorg)==length(ptlist)-1, + forall(ctrlistorg,tmp1, + if(MeasureDepth(tmp1)==0,tmp=[tmp1],tmp=tmp1); + tmp=apply(tmp,Lcrd(#)); // 16.08.16 + ctrlist=append(ctrlist,tmp); + ); + , + forall(1..(length(ptlist)-1),ii, + tmp=ctrlistorg_((2*ii-1)..(2*ii)); + tmp=apply(tmp,Lcrd(#)); // 16.08.16 + ctrlist=append(ctrlist,tmp); + ); + ); + if(!islist(Num), + Num=apply(ctrlist,Num); + ); + list=[]; + forall(1..(length(ptlist)-1),ii, + tmp1=ptlist_(ii..(ii+1)); + tmp2=ctrlist_ii; + if(ii==1,st=0,st=1); + forall(st..Num_ii, + tmp=Bezierpt(#/Num_ii,tmp1,tmp2); + list=append(list,tmp); + ); + ); + if(Noflg<3, + println("generate Bezier "+name); + out=apply(list,Pcrd(#)); + tmp=name+"="+textformat(out,5); + parse(tmp); + tmp1=textformat(ptlist,5); + tmp1="list("+substring(tmp1,1,length(tmp1)-1)+")"; + tmp2=textformat(ctrlist,5); + tmp2="list("+substring(tmp2,1,length(tmp2)-1)+")"; + GLIST=append(GLIST,name+"=Bezier("+tmp1+","+tmp2+opstr+")"); + ); + if(Noflg<2, + if(isstring(Ltype), + Ltype=GetLinestyle(text(Noflg)+Ltype,name); + , + if(Noflg==1,Ltype=0); + ); + GCLIST=append(GCLIST,[name,Ltype,opcindy]); + ); + list; +); + +Readcsvsla(fname):=Readplotdigdata(fname,[]); +Readcsvsla(fname,options):=Readplotdigdata(fname,options); +Readplotdigdata(fname):=Readplotdigdata(fname,[]); +Readplotdigdata(fname,options):=( + regional(fsc,mv,cmdall,dataL,nd,npt,ptdata,ii,tmp,tmp1,tmp2,tmp3); + tmp=Divoptions(options); + tmp1=tmp_6; + sc=1;//10; + mv=[0,0];//[5,5]; + forall(tmp1, + if(!islist(#),sc=#,mv=#); + ); + if(indexof(fname,".")>0, + tmp=load(fname); + , + tmp=load(fname+".txt"); + ); + cmdall=tokenize(tmp,"//"); + dataL=[]; + forall(2..length(cmdall),ii, + tmp1=parse("["+cmdall_ii+"]"); + dataL=append(dataL,tmp1); + ); + if(length(dataL_(length(dataL)))<2, + dataL=dataL_(1..(length(dataL)-1)); + ); + nd=length(dataL_1)/2; + npt=length(dataL); + ptdata=[]; + forall(1..nd,ii, + tmp3=[]; + forall(1..npt, + tmp1=dataL_#_(2*ii-1); + tmp2=dataL_#_(2*ii); + if(isreal(tmp1), + tmp3=append(tmp3,[tmp1,tmp2]); + ); + ); + ptdata=append(ptdata,tmp3); + ); + tmp1=[]; + forall(ptdata, + tmp=#/sc; + tmp=translatedata("1",[tmp],-mv,["nodata"]); + tmp1=append(tmp1,tmp); + ); + ptdata=tmp1; + ptdata; +); + +Putbezierdata(name,ptL):=Putbezierdata(name,ptL,[]); +Putbezierdata(name,ptL,options):=( + regional(psize,Deg,tmp,tmp1,tmp2,p1,p2,pts,ctrs); + tmp=Divoptions(options); + psize=3; + Deg=3; + tmp1=tmp_5; + forall(tmp1, + if(substring(#,0,1)=="D", + tmp=indexof(#,"="); + Deg=parse(substring(#,tmp,length(#))); + ); + if(substring(#,0,1)=="S", + tmp=indexof(#,"="); + psize=parse(substring(#,tmp,length(#))); + ); + ); + pts=[]; + ctrs=[]; + forall(1..length(ptL), + p2=ptL_#; // 16.08.16 + if(ispoint(p2), + tmp1=text(p2); + , + tmp1=name+text(#); + Putpoint(tmp1,p2,Lcrd(parse(tmp1))); // 16.08.16 + ); + inspect(parse(tmp1),"ptsize",psize); + pts=append(pts,parse(tmp1)); + inspect(parse(tmp1),"color",4); + if(#>1, + p1=Lcrd(ptL_(#-1)); // 16.08.16 + p2=Lcrd(ptL_#); // 16.08.16 + if(Deg==3, + tmp=(2*p1+p2)/3; + tmp1=name+"p"+text(#-1); + Putpoint(tmp1,tmp,Lcrd(parse(tmp1))); // 16.08.16 + inspect(parse(tmp1),"labeled",false); //15.01.22 + Letter([parse(tmp1),"ne",tmp1],["notex"]); //15.01.22 + inspect(parse(tmp1),"ptsize",psize); + inspect(parse(tmp1),"color",3); + tmp=(p1+2*p2)/3; + tmp2=name+"q"+text(#-1); + Putpoint(tmp2,tmp,Lcrd(parse(tmp2))); // 16.08.16 + inspect(parse(tmp2),"labeled",false); //15.01.22 + Letter([parse(tmp2),"ne",tmp2],["notex"]); //15.01.22 + inspect(parse(tmp2),"ptsize",psize); + inspect(parse(tmp2),"color",3); + ctrs=append(ctrs,[parse(tmp1),parse(tmp2)]); + , + tmp=(p1+p2)/2; + tmp1=name+"p"+text(#-1); + Putpoint(tmp1,tmp,Lcrd(parse(tmp1))); // 16.08.16 + inspect(parse(tmp1),"labeled",false); //15.01.22 + Letter([parse(tmp1),"ne",tmp1],["notex"]); //15.01.22 + inspect(parse(tmp1),"ptsize",psize); + inspect(parse(tmp1),"color",3); + ctrs=append(ctrs,[parse(tmp1)]); + ); + ); + ); + [pts,ctrs,name]; +); + +Bezierstart(n):=( // 2016.02.26 + BezierNumber=n; +); + +Mkbezierptcrv(ptdata):=Mkbezierptcrv(ptdata,[]); +Mkbezierptcrv(ptdata,options):=( + //help:Mkbezierptcrv([A,B,C,D]); + //help:Mkbezierptcrv([[A,B],[C,D]]); + //help:Mkbezierptcrv(options=["Num=10"]); + // global BezierNumber + regional(ptlist,Out,tmp,tmp1,tmp2); + if(isstring(ptdata), + ptlist=Readcsvsla(ptdata,options); + , + ptlist=ptdata; + ); + if(MeasureDepth(ptlist)==1,ptlist=[ptlist]); + Out=[]; + forall(1..length(ptlist), + tmp=floor((BezierNumber-1)/26);// 15.02.23 + if(tmp==0,tmp="",tmp=text(tmp)); + tmp2=mod(BezierNumber,26); + if(tmp2==0,tmp2=26); + tmp1=unicode(text(96+tmp2),base->10)+tmp;// 15.03.11 + tmp2=Putbezierdata(tmp1,ptlist_#,options); + Bezier(tmp2,options); + BezierNumber=BezierNumber+1; + Out=append(Out,tmp2_(1..2)); + ); + Out; +); + +Mkbeziercrv(nm,ptctrL):=Mkbeziercrv(nm,ptctrL,[]); +Mkbeziercrv(nm,ptctrL,options):=( + //help:Mkbeziercrv("1",[[A,B,C,D],[[P,Q],[R,S],T]]); + regional(ptctrLL,name,ptlist,ctrlist,tmp,tmp1,tmp2); + if(MeasureDepth(ptctrL)==2,ptctrLL=[ptctrL],ptctrLL=ptctrL); + forall(1..length(ptctrLL), + name=nm+text(#); + ptlist=ptctrLL_#_1; + ctrlist=ptctrLL_#_2; + Bezier(name,ptlist,ctrlist,options); + ); +); + +Writebezier():=Writebezier(Fhead,"all"); +Writebezier(head):=Writebezier(head,"all"); +Writebezier(head,seL):=( +//help:Writebezier(file); +//help:Writebezier(file,"acd"); + regional(bz,dt,name,tmp,tmp1,tmp2); + bz=select(GLIST,indexof(#,"=Bezier")>0); + tmp1=[]; // 16.04.22from + if(seL!="all", + forall(1..length(seL), + tmp=substring(seL,#-1,#); + tmp=select(bz,indexof(#,"bz"+tmp)>0); + tmp1=concat(tmp1,tmp); + ); + bz=tmp1;// 16.04.22upto + ); + dt=[head+"n",[[length(bz),0]]]; + forall(1..length(bz), + tmp=indexof(bz_#,"="); + name=substring(bz_#,0,tmp-1); + tmp=indexof(bz_#,","+Dq); + if(tmp>0, + tmp1=substring(bz_#,0,tmp-1)+")"; + , + tmp1=bz_#; + ); + tmp1=replace(tmp1,"Bezier(","["); + tmp1=replace(tmp1,"list(","["); + tmp1=replace(tmp1,")","]"); + tmp1=replace(tmp1,",",".xy,"); + tmp1=replace(tmp1,"]",".xy]"); + tmp1=replace(tmp1,".xy,[",",["); + tmp1=replace(tmp1,"].xy","]"); + tmp1=replace(tmp1,name,head+text(#)); + parse(tmp1); + tmp=parse(head+text(#)+"_1"); + dt=concat(dt,[head+text(#)+"k",tmp]); + tmp=parse(head+text(#)+"_2"); + dt=concat(dt,[head+text(#)+"c",tmp]); + ); + WriteOutData(head+".txt",dt); + dt; +); + +Readbezier(file):=Readbezier(file,[]); +Readbezier(file,optionorg):=( +//help:Readbezier("xsr"); +//help:Readbezier(options=["Num=10","nogeo"]); + regional(nn,options,stL,geo,nc,alpha,out,tmp,tmp1,tmp2,tmp3); + options=optionorg; + tmp=Divoptions(options); + stL=tmp_7; + geo=0; + forall(stL, + tmp=Toupper(substring(#,0,1)); + if(tmp=="G",geo=1); + options=remove(options,[#]); + ); + ReadOutData(file); + tmp=file+"n_1_1"; + nn=parse(tmp); + out=[]; + forall(1..nn,nc, + tmp=file+text(nc); + tmp1=parse(tmp+"k"); + tmp2=parse(tmp+"c"); + if(MeasureDepth(tmp2)==1,tmp2=[tmp2]); // 16.04.22from + if(geo==1, + alpha="abcdefghijklmnopqrstuvwxyz"; + forall(1..length(tmp1), + tmp="k"+BezierNumber+"n"+text(nc)+substring(alpha,#-1,#); + Putpoint(tmp,tmp1_#,parse(tmp+".xy")); + inspect(parse(tmp),"labeled",false); + inspect(parse(tmp),"ptsize",3); + tmp1_#=parse(tmp+".xy"); + ); + forall(1..length(tmp2), + tmp="c"+BezierNumber+"n"+text(nc)+substring(alpha,#-1,#)+"1"; + Putpoint(tmp,tmp2_#_1,parse(tmp+".xy")); + inspect(parse(tmp),"labeled",false); + inspect(parse(tmp),"color",4); + inspect(parse(tmp),"ptsize",3); + tmp2_#_1=parse(tmp+".xy"); + tmp="c"+BezierNumber+"no"+text(nc)+substring(alpha,#-1,#)+"2"; + Putpoint(tmp,tmp2_#_2,parse(tmp+".xy")); + inspect(parse(tmp),"labeled",false); + inspect(parse(tmp),"color",4); + inspect(parse(tmp),"ptsize",3); + tmp2_#_2=parse(tmp+".xy"); + ); + BezierNumber=BezierNumber+1; + ); + Bezier(file+text(nc),tmp1,tmp2,options);// 16.04.22upto + out=append(out,"bz"+tmp); + ); + out; +); + +Ospline(nm,ptlist):=Ospline(nm,ptlist,[]); +Ospline(nm,ptlist,options):=( +//help:Ospline("1",ptlist,[options]); + regional(tmp,tmp1,tmp2,list,ptL,ctrL,name,closed,flg, + p0,p1,p2,p3,pQ,pR,cc,p01,p02,p11,p12,p21,p22,p31,p32); + name="o"+nm; + if(isstring(ptlist),list=parse(ptlist),list=ptlist); + if(|list_1-list_(length(list))|<10^(-6),closed=1,closed=0); +// list=apply(list,LLcrd(#)); + ctrL=[]; + forall(1..(length(list)-1), + flg=0; + p1=Lcrd(list_#); // 16.08.16 + p2=Lcrd(list_(#+1)); // 16.08.16 + if(#==1 % #==length(list)-1, + flg=1; + if(closed==0, + pQ=(p1+2*p2)/3; // 15.09.21 // 16.08.16 + pR=(2*p1+p2)/3; // 16.08.16 + ctrL=append(ctrL,[pQ,pR]); + flg=2; + , + if(#==1, + p0=Lcrd(list_(length(list)-1)); // 16.08.16 + p3=Lcrd(list_(#+2)); // 16.08.16 + , + p0=Lcrd(list_(#-1)); // 16.08.16 + p3=Lcrd(list_2); // 16.08.16 + ); + ); + ); + if(flg<=1, + if(flg==0, + p0=Lcrd(list_(#-1)); // 16.08.16 + p3=Lcrd(list_(#+2)); // 16.08.16 + ); + tmp=1+sqrt((1+Dotprod(p2-p0,p3-p1)/|p2-p0|/|p3-p1|)/2); + cc=4*|p2-p1|/3/(|p2-p0|+|p3-p1|)/tmp; + pQ=p1+cc*(p2-p0); // 15.09.21 // 16.08.16 + pR=p2+cc*(p1-p3); // 16.08.16 + ctrL=append(ctrL,[pQ,pR]); + ); + ); +// list=apply(list,LLcrd(#)); // 16.08.16 +// ctrL=apply(ctrL,LLcrd(#)); + if(closed==0, // 15.09.21 + p1=ctrL_2_1; + p2=Lcrd(list_2); // 16.08.16 + pQ=p2+(p2-p1); + ctrL_1=[pQ]; + tmp=length(ctrL); + tmp1=ctrL_(tmp-1); + p1=ctrL_(tmp-1)_2; + p2=Lcrd(list_(tmp)); // 16.08.16 + pQ=p2+(p2-p1); + ctrL_tmp=[pQ]; + ); + Bezier("o"+nm,list,ctrL,options); +); + +CRspline(nm,ptL):=CRspline(nm,ptL,[]); +CRspline(nm,ptL,options):=( + // Catmull-Rom spline +//help:CRspline("1",[A,B,C,A]); + regional(name,ptlist,ctrpts,eqL,opcindy,c,v,tmp,tmp1,tmp2,ctrlist,cflg); + name="crsp"+nm; + if(MeasureDepth(ptL)==1,tmp=[ptL],tmp=ptL); + ptlist=tmp_1; + if(length(tmp)==1, + cflg=1; + , + cflg=0; + ctrpts=tmp_2; + ); + c=1/6; + tmp=Divoptions(options); + eqL=tmp_5; + opcindy=tmp_(length(tmp)); // 15.03.05 + forall(eqL, + if(substring(#,0,1)=="R", + tmp2=indexof(#,"="); + c=parse(substring(#,tmp2,length(#))); + ); + ); + ptlist=apply(ptlist,Lcrd(#)); // 16.08.16 + ctrlist=[]; + forall(1..(length(ptlist)-1), + if(#==1, + if(cflg==0, + tmp1=ctrpts_1; + , + v=ptlist_2-ptlist_(length(ptlist)-1); + tmp1=ptlist_#+c*v; + ); + , + v=ptlist_(#+1)-ptlist_(#-1); + tmp1=ptlist_#+c*v; + ); + if(#==length(ptlist)-1, + if(cflg==0, + tmp2=ctrpts_2; + , + v=ptlist_2-ptlist_#; + tmp2=ptlist_(#+1)-c*v; + ); + , + v=ptlist_(#+2)-ptlist_#; + tmp2=ptlist_(#+1)-c*v; + ); + tmp=select(options,indexof(text(#),"->")>0); + tmp=append(tmp,"notex"); //15.03.05 + Pointdata(name+text(#),[tmp1,tmp2],tmp); + ctrlist=append(ctrlist,[tmp1,tmp2]); + ); + Bezier(nm,ptlist,ctrlist,options); +); + +Beziersmooth(nm,ptL):=Bzspline(nm,ptL,[]); +//help:Beziersmooth("1",[A,B,C,A]); +Beziersmooth(nm,ptL,options):=Bzspline(nm,ptL,options); +Bzspline(nm,ptL):=Bzspline(nm,ptL,[]); +Bzspline(nm,ptLorg,options):=( + // smooth bezier + regional(name,Eps,ptL,pt,pt1,pt2,pt3,npt,lstr, + tmp,tmp1,tmp2,cflg,ctrlist); + name="bzsp"+nm; + Eps=10^(-3); + ptL=apply(ptLorg,Lcrd(#)); // 16.08.16 + if(|ptL_1-ptL_(length(ptL))|<Eps,cflg=1,cflg=0); + forall(2..length(ptL), + pt=ptL_#; + pt1=ptL_(#-1); + tmp1="C"+text(#-1)+"q"; + Putpoint(tmp1,(pt1+4*pt)/5,Lcrd(parse(tmp1))); // 16.08.16 + ); + forall(2..(length(ptL)-1), + if(#<length(ptL) % cflg==1, + lstr="c"+text(#); + pt=ptLorg_#; // 16.08.16 + pt1=parse("C"+text(#-1)+"q"); + create([lstr],"Join",[pt1,pt]); + tmp2="C"+text(#)+"p"; + tmp=Append((2*pt.xy-pt1.xy),1); + create([tmp2],"PointOnLine",[parse(lstr),tmp]); + ); + ); + if(cflg==0, + pt=ptL_1; + pt1=ptL_2; + tmp1="C1p"; + Putpoint(tmp1,(4*pt+pt1)/5,Lcrd(parse(tmp1))); // 16.08.16 + ); + if(cflg==1, + lstr="c1"; + pt=ptLorg_1; // 16.08.16 + pt1=parse("C"+text(length(ptL)-1)+"q"); + create([lstr],"Join",[pt1,pt]); + tmp1="C1p"; + tmp=Append((2*pt.xy-pt1.xy),1); + create([tmp1],"PointOnLine",[parse(lstr),tmp]); + ); + ctrlist=[]; + forall(1..(length(ptL)-1), + if(#>1 % cflg==1, + tmp1="c"+text(#); + inspect(parse(tmp1),"alpha",0.3); + ); + tmp1="C"+text(#)+"p"; + tmp2="C"+text(#)+"q"; + inspect(parse(tmp1),"ptsize",3); + inspect(parse(tmp1),"color",3); + inspect(parse(tmp2),"ptsize",3); + inspect(parse(tmp2),"color",3); + tmp=[parse(tmp1),parse(tmp2)]; + ctrlist=append(ctrlist,tmp); + ); + Bezier(nm,ptL,ctrlist,options); + [ptL,ctrlist]; +); + +Beziersym(nm,ptL):=Bzsspline(nm,ptL,[]); +Beziersym(nm,ptL,options):=Bzsspline(nm,ptL,options); +Bzsspline(nm,ptL):=Bzsspline(nm,ptL,[]); +Bzsspline(nm,ptLorg,options):=( + // smooth bezier with symmetric control points + regional(name,Eps,ptL,pt,pt1,pt2,pt3,npt,lstr, + tmp,tmp1,tmp2,cflg,ctrlist); + name="bzssp"+nm; + Eps=10^(-3); + ptL=apply(ptLorg,Lcrd(#)); // 16.08.16 + if(|ptL_1-ptL_(length(ptL))|<Eps,cflg=1,cflg=0); + forall(2..length(ptL), + pt=ptL_#; + pt1=ptL_(#-1); + tmp1="C"+text(#-1)+"q"; + Putpoint(tmp1,(pt1+4*pt)/5,Lcrd(parse(tmp1))); + ); + forall(2..(length(ptL)-1), + if(#<length(ptL) % cflg==1, + pt=ptL_#; + pt1=parse("C"+text(#-1)+"q"); + tmp2="C"+text(#)+"p=2*pt-pt1"; + parse(tmp2); + ); + ); + if(cflg==0, + pt=ptL_1; + pt1=ptL_2; + Putpoint("C1p",(4*pt+pt1)/5,Lcrd(C1p)); // 16.08.16 + inspect(C1p,"ptsize",3); + inspect(C1p,"color",3); + ); + if(cflg==1, + pt=ptL_1; + pt1=Lcrd(parse("C"+text(length(ptL)-1)+"q")); // 16.08.16 + tmp1="Putpoint("+Dq+"C1p"+Dq+",2*pt-pt1)"; // 16.08.16 + parse(tmp1); + ); + ctrlist=[]; + forall(1..(length(ptL)-1), + tmp1="C"+text(#)+"p"; + tmp2="C"+text(#)+"q"; + inspect(parse(tmp2),"ptsize",3); + inspect(parse(tmp2),"color",3); + tmp=[parse(tmp1),parse(tmp2)]; + ctrlist=append(ctrlist,tmp); + ); + Bezier(nm,ptL,ctrlist,options); + [ptL,ctrlist]; +); + +Listbspline2bz(listorg):=( + regional(Eps,list,pcl,ptl,ctrl,k); + Eps=10^(-3); + list=apply(listorg,Lcrd(#)); // 16.08.16 + k=length(list); + if(|list_1-list_k|>Eps, + pcl=list; + pcl_1=2*list_1-list_2; + pcl_k=2*list_k-list_(k-1); + , + pcl=concat(list,[list_2]); + ); + ctrl=apply(2..(length(pcl)-1),[pcl_#]); + ptl=apply(1..(length(pcl)-1),(pcl_#+pcl_(#+1))/2); + [ptl,ctrl]; +); + +Bspline(nm,ctrL):=Bspline(nm,ctrL,[]); +Bspline(nm,ctrL,options):=( +//help:Bspline("",[A,B,C]); + regional(list,tmp); + list=Listbspline2bz(ctrL); + tmp=BezierCurve("b"+nm,list_1,list_2,options); + tmp; +); + +MeetCurve(Crv,Xorg,Yorg):=( + regional(Cv,tmp,tmp1,tmp2,X0,Y0,x1,x2,y1,y2,Ylist,Ban,Tate); + if(isstring(Crv),Cv=parse(Crv),Cv=Crv); + if(MeasureDepth(Cv)==2,Cv=Cv_1); + Cv=apply(Cv,LLcrd(#)); // 14.12.18 + while(length(Cv)==1, + Cv=Cv_1; + ); + Cv=apply(Cv,Lcrd(#)); + tmp1=min(apply(Cv,#_1)); + tmp2=max(apply(Cv,#_1)); + if(isstring(Xorg),X0=parse(Xorg),X0=Xorg); + if(isstring(Yorg),Y0=parse(Yorg),Y0=Yorg); + if(X0<tmp1, + X0=tmp1; + , + if(X0>tmp2, + X0=tmp2; + ); + ); + tmp1=select( + 1..(length(Cv)-1),Cv_#_1<=X0 & X0<=Cv_(#+1)_1); + tmp2=select( + 1..(length(Cv)-1),Cv_#_1>=X0 & X0>=Cv_(#+1)_1); + tmp2=remove(tmp2,common(tmp2,tmp1)); + Ban=concat(tmp1,tmp2); + Tate=select(Ban, + abs(Cv_#_1-Cv_(#+1)_1)<= + 10^(-2)*abs(Cv_#_2-Cv_(#+1)_2) + ); + Ban=remove(Ban,Tate); + Ylist=[]; + forall(Ban, + tmp=Cv_#; + x1=tmp_1; y1=tmp_2; + tmp=Cv_(#+1); + x2=tmp_1; y2=tmp_2; + tmp=((x2-X0)*y1+(X0-x1)*y2)/(x2-x1); + Ylist=append(Ylist,tmp); + ); + forall(Tate, + tmp=Cv_#; + x1=tmp_1; y1=tmp_2; + tmp=Cv_(#+1); + x2=tmp_1; y2=tmp_2; + tmp1=min([y1,y2]); + tmp2=max([y1,y2]); + if(Y0<tmp1, + tmp=tmp1; + , + if(Y0>tmp2, + tmp=tmp2; + , + tmp=Y0; + ); + ); + Ylist=append(Ylist,tmp); + ); + tmp=sort(Ylist,abs(#_1-Y0)); + [X0,tmp_1]; +); + +PutonLine(name,p1,p2):=PutonLine(name,p1,p2,[]); +PutonLine(name,p1org,p2org,options):=( +//help:PutonLine("C","sgAB"); +//help:PutonLine("C",pA,pB); + regional(par,p1,p2,dx,dy,tmp,tmp1,tmp2); + par=0.5; + tmp=Divoptions(options); + if(length(tmp_6)>0, + par=tmp_6_1; + ); + p1=Lcrd(p1org);//16.10.11from + p2=Lcrd(p2org); + dx=p2_1-p1_1; + dy=p2_2-p1_2; + tmp1=(1-par)*p1+par*p2; + if(abs(dx)>abs(dy), + tmp=name+".x"; + tmp2="["+tmp+",dy/dx*("+tmp+"-p1_1)+p1_2]";//16.10.11upto + Putpoint(name,tmp1,parse(tmp2)); + , + if(abs(dy)>0, + tmp=name+".y"; + tmp2="[dx/dy*("+tmp+"-p1.y)+p1_1,"+tmp+"]"; + Putpoint(name,tmp1,parse(tmp2)); + , + tmp2=p1;//16.10.11 + Putpoint(name,tmp1,tmp2); + ); + ); +); + +PutonSeg(name,sgstr):=( + regional(seg,p1,p2); + if(isstring(sgstr),seg=parse(sgstr),seg=sgstr); + PutonSeg(name,LLcrd(seg_1),LLcrd(seg_2)); +); +PutonSeg(name,p1,p2):=PutonSeg(name,p1,p2,[]); +PutonSeg(name,p1org,p2org,options):=( +//help:PutonSeg("C","sgAB"); +//help:PutonSeg("C",pA,pB); + regional(par,dx,dy,p,tmp,tmp1,tmp2); + par=0.5; + tmp=Divoptions(options); + if(length(tmp_6)>0, + par=tmp_6_1; + ); + p1=Lcrd(p1org);//16.10.11from + p2=Lcrd(p2org); + PutonLine(name,p1,p2,[par]); + dx=p2_1-p1_1; + dy=p2_2-p1_2; + p=parse(name+".xy"); + p=LLcrd(p); + if(abs(dx)>abs(dy) & (p_1-p1_1)*(p_1-p2_1)>0, + if(|p-p1|<|p-p2|, + parse(name+".xy=Pcrd(p1)"); + , + parse(name+".xy=Pcrd(p2)"); + ); + ); + if(abs(dx)<abs(dy) & (p_2-p1_2)*(p_2-p2_2)>0, + if(|p-p1|<|p-p2|, + parse(name+".xy=Pcrd(p1)"); + , + parse(name+".xy=Pcrd(p2)");//16.10.11upto + ); + ); +); + +PutonCurve(pn,crv):=PutonCurve(pn,crv,[]); +PutonCurve(pn,crv,options):=( +//help:PutonCurve("A","gr1"); + regional(Pmt,pstr,optionL,leftlim,rightlim,tmp,tmp1,Flg,Msg); + if(!islist(options),optionL=[options],optionL=options); + leftlim=XMIN; + rightlim=XMAX; + Flg=0; + Msg="y"; + forall(optionL, + if(isstring(#), // 16.02.10 from + tmp=indexof(#,"="); + tmp1=Toupper(substring(#,tmp,tmp+1)); + if(tmp1=="N", Msg="n"); // 16.02.10 upto + , + if(Flg==0, + leftlim=#; + Flg=Flg+1; + , + rightlim=#; + ); + ); + ); + Pmt=MeetCurve(crv,leftlim,0); + pstr=apply(allpoints(),textformat(#,5)); // 15.04.07 + if(!contains(pstr,pn), + createpoint(pn,Pcrd(Pmt)); + , + tmp1=parse(pn+".x"); + if(tmp1< leftlim % tmp1>rightlim, + if(tmp1< leftlim,tmp= leftlim, tmp=rightlim); + Pmt=MeetCurve(crv,textformat(tmp,5),pn+".y"); + , + Pmt=MeetCurve(crv,pn+".x",pn+".y"); + ); + ptstr=pn+".xy="+textformat(Pcrd(Pmt),5)+";"; + parse(ptstr); + ); + if(Msg=="y", + println("Put "+pn+" on Curve "+text(crv)); + ); +); + +CrossPoint(name,Crv1,Crv2,range):=( + regional(Mx1,Mx2,Mx3,tmp,Crs1,Crs2,Crs3,Crs4,df1,df2); + Mx1=range_1; Mx2=range_2; + repeat(15, + Mx3=(Mx1+Mx2)/2; + Crs1=MeetCurve(Crv1,Mx1,0); + Crs2=MeetCurve(Crv2,Mx1,0); + Crs3=MeetCurve(Crv1,Mx3,0); + Crs4=MeetCurve(Crv2,Mx3,0); + df1=Crs1_2-Crs2_2; + df2=Crs3_2-Crs4_2; + if((df1>0 & df2>0) % (df1<0 & df2<0), + Mx1=Mx3; + , + Mx2=Mx3; + ); + ); + Putpoint(name,Crs1); +); + +Setscaling(sc):=( +//help:Setscaling(3); + SCALEX=1; + SCALEY=sc; + Com0th("Setscaling("+sc+")"); + Setwindow("Msg=no"); +); + +Tabledatalight(nm,xLst,yLst,rmvL):=Tabledatalight(nm,xLst,yLst,rmvL,[]); +Tabledatalight(nm,xLst,yLst,rmvL,options):=( +//help:Tabledatalight("",xLst,yLst,rmvL,[2]); + regional(name,upleft,ul,flg,tick,n,m,xsize,ysize,rlist,clist,Tb, + tmp,tmp1,tmp2,tmp3,Eps); +// name="tb"+nm; + name="tb"; + println("Tabledatalight "+name+" generated"); + tmp=sum(yLst); + upleft=[0,tmp]; + tick=1; + tmp=Divoptions(options); + flg=0; + forall(tmp_6, + if(flg==0, + tick=#; + flg=flg+1; + , + upleft=tmp_6_1; + ); + ); + ul=upleft/10; + m=length(xLst); + n=length(yLst); + xsize=sum(xLst); + ysize=sum(yLst); + clist=[ul]; + rlist=[ul]; + forall(1..m, + tmp1=clist_(#)_1+xLst_#/10; + clist=append(clist,[tmp1,clist_1_2]); + ); + forall(1..n, + tmp1=rlist_(#)_2-yLst_#/10; + rlist=append(rlist,[0,tmp1]); + ); + Tb=[clist,rlist]; + tmp=name+"="+Tb; + parse(tmp); + forall(0..m, + tmp1="c"+text(#)+"r0"; + tmp2="c"+text(#)+"r"+text(n); + Tlistplot("c"+text(#)+"r0r"+text(n),[tmp1,tmp2],options); + if(mod(#,tick)==0 % #==m, + tmp=clist_(#+1); + drawtext(clist_(#+1)-[0.04,-0.1],"c"+text(#)); + ); + ); + forall(0..n, + tmp1="c0r"+text(#); + tmp2="c"+text(m)+"r"+text(#); + Tlistplot("r"+text(#)+"c0c"+text(m),[tmp1,tmp2],options); + if(mod(#,tick)==0 % #==n, + tmp=rlist_(#+1); + drawtext(rlist_(#+1)-[0.4,0.1],"r"+text(#)); + ); + ); + Tsegrmv(rmvL,options); + Addax(0); + Eps=10^(-3); + tmp1=clist_(length(clist)); + tmp2=rlist_1; + tmp3=rlist_(length(rlist)); + Setwindow([0-Eps,tmp1_1+Eps],[tmp3_2-Eps,tmp2_2+Eps]); + Tb; +); + +Tabledata(nm,n,m,xsize,ysize,rmvL):= + Tabledata(nm,n,m,xsize,ysize,rmvL,[]); +Tabledata(nm,n,m,xsize,ysize,rmvL,options):=( + regional(Tb,name,tmp,xLst,yLst); + name="tb"+nm; + xLst=apply(1..n,xsize/n); + yLst=apply(1..m,ysize/m); + Tabledata(nm,xLst,yLst,rmvL,options) +); +Tabledata(nm,xLst,yLst,rmvL):=Tabledata(nm,xLst,yLst,rmvL,[]); +Tabledata(nm,xLst,yLst,rmvL,options):=( +//help:Tabledata("",xLst,yLst,rmvL,[2]); + regional(name,upleft,ul,flg,tick,n,m,xsize,ysize,rlist,clist,Tb, + tmp,tmp1,tmp2,tmp3,Eps); +// name="tb"+nm; + name="tb"; + println("Tabledata "+name+" generated"); + tmp=sum(yLst); + upleft=[0,tmp]; + tick=1; + tmp=Divoptions(options); + flg=0; + forall(tmp_6, + if(flg==0, + tick=#; + flg=flg+1; + , + upleft=tmp_6_1; + ); + ); + ul=upleft/10; + m=length(xLst); + n=length(yLst); + xsize=sum(xLst); + ysize=sum(yLst); + clist=[ul]; + rlist=[ul]; + forall(1..m, + tmp1=clist_(#)_1+xLst_#/10; + clist=append(clist,[tmp1,clist_1_2]); + ); + forall(1..n, + tmp1=rlist_(#)_2-yLst_#/10; + rlist=append(rlist,[0,tmp1]); + ); + Tb=[clist,rlist]; + tmp=name+"="+Tb; + parse(tmp); + forall(0..m, + tmp="C"+text(#); + tmp1="c"+text(#)+"r0"; + if(#==0, + Putpoint(tmp,Tgrid(tmp1)); + , + Putpoint(tmp,Tgrid(tmp1),[parse(tmp+".x"),C0.y]); + clist_(#+1)=parse(tmp+".xy"); + ); + inspect(parse(tmp),"ptsize",3); + inspect(parse(tmp),"labeled",false); + if(mod(#,tick)==0 % #==m, + tmp=clist_(#+1); + drawtext(clist_(#+1)-[0.04,-0.1],"c"+text(#)); + ); + ); + forall(0..n, + tmp="R"+text(#); + tmp1="c0r"+text(#); + if(#==0, + Putpoint(tmp,Tgrid(tmp1)); + , + Putpoint(tmp,Tgrid(tmp1),[R0.x,parse(tmp+".y")]); + rlist_(#+1)=parse(tmp+".xy"); + ); + Putpoint(tmp,Tgrid(tmp1),[R0.x,parse(tmp+".y")]); + inspect(parse(tmp),"ptsize",3); + inspect(parse(tmp),"labeled",false); + if(mod(#,tick)==0 % #==n, + tmp=rlist_(#+1); + drawtext(rlist_(#+1)-[0.4,0.1],"r"+text(#)); + ); + ); + Tb=[clist,rlist]; + tmp=name+"="+Tb; + parse(tmp); + forall(0..m, + tmp1="c"+text(#)+"r0"; + tmp2="c"+text(#)+"r"+text(n); + Tlistplot("c"+text(#)+"r0r"+text(n),[tmp1,tmp2],options); + if(#<m, + tmp1=parse("C"+text(#)); + tmp2=parse("C"+text(#+1)); + tmp=(tmp1.xy+tmp2.xy)/2; + drawtext(tmp+[-0.2,0.5],text((tmp2.x-tmp1.x)*10)); + ); + ); + forall(0..n, + tmp1="c0r"+text(#); + tmp2="c"+text(m)+"r"+text(#); + Tlistplot("r"+text(#)+"c0c"+text(m),[tmp1,tmp2],options); + if(#<n, + tmp1=parse("R"+text(#)); + tmp2=parse("R"+text(#+1)); + tmp=(tmp1.xy+tmp2.xy)/2; + drawtext(tmp-[1.2,0.1],text(abs(tmp1.y-tmp2.y)*10)); + ); + ); + Tsegrmv(rmvL,options); + Addax(0); + Eps=10^(-3); + tmp1=clist_(length(clist)); + tmp2=rlist_1; + tmp3=rlist_(length(rlist)); // 15.06.11 + Setwindow([0-Eps,tmp1_1+Eps],[tmp3_2-Eps,tmp2_2+Eps]); + Tb; +); + +Tseginfo(seg):=( + regional(cr,tp,tpc,n1,n2,n3,tmp,tmp1,tmp2); + if(substring(seg,0,2)=="sg", + cr=substring(seg,2,length(seg)); + , + cr=seg; + ); + tp=substring(cr,0,1); + if(tp=="c", + tpc="r"; + , + tpc="c"; + ); + tmp1=indexof(cr,tpc); + tmp=substring(cr,tmp1,length(cr)); + tmp2=tmp1+indexof(tmp,tpc); + n1=substring(cr,1,tmp1-1); + n2=substring(cr,tmp1,tmp2-1); + n3=substring(cr,tmp2,length(cr)); + [tp+n1,tpc,parse(n2),parse(n3)]; +); + +Tsegrmv(rmvL):=Tsegrmv(rmvL,[]); +Tsegrmv(rmvL,options):=( + regional(cr,gcL,flg,gc,hd,tail,tpc,m1,m2,n1,n2,tmp,tmp1,tmp2); + forall(rmvL,cr, + tmp1=Tseginfo(cr); + hd=tmp1_1; + tpc=tmp1_2; + m1=tmp1_3; + m2=tmp1_4; + gcL=select(GCLIST,Tseginfo(#_1)_1==tmp1_1); + flg=0; + forall(gcL, + if(flg==0, + tmp=Tseginfo(#_1); + n1=tmp_3; + n2=tmp_4; + if(m1>=n1 & m2<=n2, + gc=#; + flg=1; + ); + ); + ); + if(flg==1, + Changestyle([gc_1],["nodisp"]); + tail=""; + if(indexof(hd,"r")>0, + tail=hd; hd=""; + ); + if(n1<m1, + tmp1=tpc+text(n1); + tmp2=tpc+text(m1); + tmp=hd+tail+tmp1+tmp2; + Tlistplot(tmp,[hd+tmp1+tail,hd+tmp2+tail],options); + ); + if(m2<n2, + tmp1=tpc+text(m2); + tmp2=tpc+text(n2); + tmp=hd+tail+tmp1+tmp2; + Tlistplot(tmp,[hd+tmp1+tail,hd+tmp2+tail],options); + ); + ); + ); +); + +Tgrid(ptstr):=( +//help:Tgrid("c2r5"); + regional(tmp,tmp1,tmp2); + tmp=parse(ptstr); + if(islist(tmp), + tmp; + , + tmp=indexof(ptstr,"r"); + tmp1=substring(ptstr,1,tmp-1); + tmp1=parse(tmp1); + tmp2=substring(ptstr,tmp,length(ptstr)); + tmp2=parse(tmp2); + [tb_1_(tmp1+1)_1,tb_2_(tmp2+1)_2]; + ); +); + +Tlistplot(ptL):=Tlistplot(ptL,[]); +Tlistplot(Ag1,Ag2):=( + regional(nm,ptL,options); + if(isstring(Ag1), + nm=Ag1; + ptL=Ag2; + options=[]; + , + ptL=Ag1; + options=Ag2; + nm=ptL_1+ptL_2; + ); + Tlistplot(nm,ptL,options); +); +Tlistplot(nm,ptL,options):=( +//help:Tlistplot(["c0r0","c0r4"]); +//help:Tlistplot("1",["c0r0","c0r4"]); + regional(tmp); + tmp=apply(ptL,Tgrid(#)); // 15.06.03 + Listplot(nm,tmp,append(options,"Msg=no")); +); + +ChangeTablestyle(nameL,style):=( +////help:ChangeTablestyle(["r0c0c3"],["da"]); + regional(nmL,tmp,tmp1,tmp2); + if(islist(nameL),nmL=nameL,nmL=[nameL]); + nmL=apply(nmL,"sg"+#); + nmL=select(nmL,islist(parse(#))); + Changestyle(nmL,style); +); + +Findcell(pos1,pos2):=Findcell("",pos1,pos2); +Findcell(Tbdata,pos1,pos2):=( +//help:Findcell("c0r0","c2r1"); + regional(tmp1,tmp2,posnw,posse,ctr,dx,dy); + if(isstring(pos1), + posnw=Tgrid(pos1); // 15.05.20 + posse=Tgrid(pos2); + //posnw=parse(pos1); + //posse=parse(pos2); + , + if(islist(pos1), + posnw=pos1; + posse=pos2; + , + tmp1="c"+text(pos1-1)+"r"+text(pos2-1); + tmp2="c"+text(pos1)+"r"+text(pos2); + posnw=Tgrid(tmp1); + posse=Tgrid(tmp2); +// posnw=parse(tmp1); +// posse=parse(tmp2); + ); + ); + ctr=(posnw+posse)/2; + dx=abs(posse_1-ctr_1); + dy=abs(posnw_2-ctr_2); + [ctr,dx,dy]; +); + +Putcell(pos1,pos2,dir,lttr):=Putcell("",pos1,pos2,dir,lttr); +Putcell(Tbdata,pos1,pos2,dir,lttr):=( +//help:Putcell("c0r0","c2r1","lt","abc"); +//help:Putcell(2,3,"c","xyz"); + regional(tmp,tmp1,tmp2,posnw,posse, + posdir,posstr,ctr,dx,dy); + tmp=Findcell(Tbdata,pos1,pos2); + ctr=tmp_1; dx=tmp_2; dy=tmp_3; + posdir=ctr; + posstr=dir; + if(indexof(dir,"b")>0, + posdir_2=posdir_2-dy; + posstr=replace(posstr,"b","n"); + ); + if(indexof(dir,"t")>0, + posdir_2=posdir_2+dy; + posstr=replace(posstr,"t","s"); + ); + if(indexof(dir,"l")>0, + posdir_1=posdir_1-dx; + posstr=replace(posstr,"l","e"); + ); + if(indexof(dir,"r")>0, + posdir_1=posdir_1+dx; + posstr=replace(posstr,"r","w"); + ); + Letter(posdir,posstr,text(lttr)); +); + +Putcellexpr(pos1,pos2,dir,ex):=Putcellexpr("",pos1,pos2,dir,ex); +Putcellexpr(Tbdata,pos1,pos2,dir,ex):=( +//help:Putcellexpr("c0r0","c2r1","lt","abc"); +//help:Putcellexpr(2,3,"c","\sin x"); + Putcell(Tbdata,pos1,pos2,dir,"$"+text(ex)+"$"); +); + +Putrow(nrow,dir,lttrL):=Putrow("",nrow,dir,lttrL); +Putrow(Tbdata,nrow,dir,lttrL):=( +//help:Putrow(1,"c",["x","y","z"]); + regional(tmp,tmp1,mcol); + mcol=length(lttrL); + forall(1..mcol, + Putcell(Tbdata,#,nrow,dir,lttrL_#); + ); +); + +Putrowexpr(nrow,dir,exL):=Putrowexpr("",nrow,dir,exL); +Putrowexpr(Tbdata,nrow,dir,exL):=( +//help:Putrowexpr(2,"r",["x","y","z"]); + regional(lttrL); + lttrL=apply(exL,"$"+#+"$"); + Putrow(Tbdata,nrow,dir,lttrL); +); + +PutcoL(mcol,dir,lttrL):=PutcoL("",mcol,dir,lttrL); +PutcoL(Tbdata,mcol,dir,lttrL):=( +//help:PutcoL(1,"c",["x","y","z"]); + regional(tmp,tmp1,nrow); + nrow=length(lttrL); + forall(1..nrow, + Putcell(Tbdata,mcol,#,dir,lttrL_#); + ); +); +PutcoLexpr(mcol,dir,exL):=PutcoLexpr("",mcol,dir,exL); +PutcoLexpr(Tbdata,mcol,dir,exL):=( +//help:PutcoLexpr(2,"r",["x","y","z"]); + regional(lttrL); + lttrL=apply(exL,"$"+#+"$"); + PutcoL(Tbdata,mcol,dir,lttrL); +); + +Setwindow():=Setwindow("Msg=yes"); +Setwindow(str):=( + regional(tmp,tmp1,tmp2,msg); + msg="y"; + tmp=indexof(str,"="); // 16.02.10 + tmp1=Toupper(substring(str,tmp,tmp+1)); + if(tmp1=="N",msg="n"); + if((ispoint(SW) & ispoint(NE)), + tmp1=Lcrd(SW); + tmp2=Lcrd(NE); + XMIN=tmp1_1; XMAX=tmp2_1; + YMIN=tmp1_2; YMAX=tmp2_2; + , +// XMIN=-5; XMAX=5; +// YMIN=Lcrdy(-5); YMAX=Lcrdy(5); + createpoint("SW",Pcrd([XMIN,YMIN])); + createpoint("NE", Pcrd([XMAX,YMAX])); + ); + if(msg=="y", + println("Setwindow(["+XMIN+","+XMAX+"],["+YMIN+","+YMAX+"])"); + ); + layer(KETPICLAYER); + autoclearlayer(KETPICLAYER,true); + drawpoly([Pcrd([XMIN,YMIN]), Pcrd([XMAX,YMIN]), + Pcrd([XMAX,YMAX]),Pcrd([XMIN,YMAX])],color->[1,1,1]); +); +Setwindow(xrange,yrange):=( +//help:Setwindow([2,3],[-1,1]); + XMIN=xrange_1; + XMAX=xrange_2; + YMIN=yrange_1; + YMAX=yrange_2; +// Setwindow(); +); + +Sciform(list):=( + regional(plotlist,comp,pos,out,out2,nn,strL,flg, + tmp,tmp1,tmp2,tmp3,Nj); + plotlist=Flatten([list]); + out=replace(plotlist_1,".xy",""); + out=replace(out,".x","(1)"); + out=replace(out,".y","(2)"); + if(length(plotlist)==1, + comp=[]; + forall(1..length(out), + comp=append(comp,substring(out,#-1,#)); + ); + out=""; + pos=0; + forall(comp, + if(#!="'", + out=out+#; + , + if(pos==0, + tmp=indexof(out,"Assign("); + if(substring(out,length(out)-7,length(out))=="Assign(", + out=out+"'"; + pos=1; + , + out=out+"Assign('"; + pos=2; + ); + , + if(pos==2, + out=out+"')"; + , + out=out+"'"; + ); + pos=0; + ); + ); + ); + , + forall(2..length(plotlist), + comp=plotlist_#; + if(isstring(comp), + pos=indexof(comp,"Assign("); + if(pos>0, + comp=substring(comp,6,length(comp)); + ); + out=out+"Assign("; + comp=replace(comp,".xy",""); + comp=replace(comp,".x","(1)"); + comp=replace(comp,".y","(2)"); + out=out+"'"+comp+"'"; + out=out+"),"; + ); + if(islist(comp), + forall(comp, + out=out+"'"+#+"',"; + ); + ); + ); + if(length(plotlist)>1, + out=substring(out,0,length(out)-1); + out=out+");"; + ); + ); + pos=[]; + forall(1..length(out), + tmp=indexof(substring(out,#-1,length(out)),"Assign"); + if(tmp>0, + tmp1=#-1+tmp; + if(length(pos)==0, + pos=[tmp1]; + , + if(pos_(length(pos))<tmp1, + pos=append(pos,tmp1); + ); + ); + ); + ); + if(length(pos)>0, + strL=[]; + Nj=0; + forall(pos, + tmp=substring(out,Nj,#-1); + strL=append(strL,tmp); + Nj=#-1; + ); + strL=append(strL,substring(out,Nj,length(out))); + out=""; + forall(strL, + if(indexof(#,"Assign")==0, + out=out+#; + , + tmp=indexof(#,"('"); + tmp1=indexof(#,"')"); + tmp2=substring(#,tmp+1,tmp1-2); + tmp3=substring(#,tmp1-2,length(#)); + if(indexof(tmp2,"=")==0, + out=out+#; + , + tmp=substring(tmp2,0,indexof(tmp2,"=")); + out=out+"'"+tmp+"'+"+"Assign('"; + tmp=substring(tmp2,indexof(tmp2,"="),length(tmp2)); + out=out+tmp+tmp3; + ); + ); + ); + ); + out2=""; // patched 16.01.21 from + nn=length(out); + flg=0; + forall(1..nn, + if(flg==0, + tmp=indexof(out,"='+Assign('"); + if(tmp==0, + out2=out2+out; + flg=1; + , + out2=out2+substring(out,0,tmp); + out=substring(out,tmp+10,length(out)); + tmp=indexof(out,"'"); // 16.04.19 from + tmp1=substring(out,0,tmp-1); + tmp2="1234567890"; + tmp=apply(1..length(tmp1), + indexof(tmp2,substring(tmp1,#-1,#))); + tmp=min(tmp); + if(tmp==0, // 16.04.19 upto + out2=out2+"'+Assign('"; + , + tmp=indexof(out,"'"); + out=substring(out,0,tmp)+substring(out,tmp+1,length(out)); // 16.04.18 upto + ); + ); + ); + ); + out2=replace(out2,"Dist=","D="); + out2=replace(out2,"Dis=","D="); + out2; +); + + +Rform(list):=( + regional(plotlist,comp,pos,out,strL,tmp,tmp1,tmp2,tmp3,Nj); + out=list; + out=replace(out,"[[[","list([["); + out=replace(out,"[","c("); + out=replace(out,"]",")"); + out=replace(out,".xy",""); + out=replace(out,".x","[1]"); + out=replace(out,".y","[2]"); + out; +); + +Defvar(varstr):=( + regional(name,value,tmp,tmp1); + parse(varstr); + tmp=indexof(varstr,"="); + name=substring(varstr,0,tmp-1); + value=substring(varstr,tmp,length(varstr)); + value=parse(value); + tmp1=select(1..length(VLIST),VLIST_#_1==name+"="); + if(length(tmp1)>0, + tmp=tmp1_1; + VLIST_tmp=[name+"=",value]; + , + VLIST=prepend([name+"=",value],VLIST); + ); +); + +Defvar(name,value):=( +//help:Defvar("a",0.3); + regional(tmp,tmp1); + if(islist(value), + tmp1="["; + forall(value, + tmp1=tmp1+format(#,5)+","; + ); + tmp1=substring(tmp1,0,length(tmp1)-1)+"]"; + , + tmp1=format(value,5); + ); + tmp=name+"="+tmp1; // 15.02.06 + parse(tmp); + VLIST=select(VLIST,#_1!=name+"="); // 15.02.08 + VLIST=prepend([name+"=",value],VLIST); +); + +Iftosci(strorg):=( // 16.06.10 + regional(str,ifL,ppL,cpL,kk,sL, + tmp,tmp1,tmp2,tmp3,tmp4); + str=replace(strorg,LFmark,""); + ifL=Indexall(str,"if("); + ppL=Bracket(str,"()"); + cpL=Indexall(str,","); + tmp1=Bracket(str,"[]"); + forall(1..(length(tmp1)/2),kk, + cpL=select(cpL,#<tmp1_(2*kk-1)_1%#_1>tmp1_(2*kk)_1); + ); + forall(1..length(ifL),kk, + tmp=select(ppL,#_1>ifL_kk); + tmp1=tmp_1; + tmp2=select(tmp,#_2==-tmp1_2); + tmp2=tmp2_1; + tmp3=select(cpL,#>tmp1_1 & #<tmp2_1); + ifL_kk=[tmp1_1,tmp2_1,tmp1_2,tmp3]; + ); + forall(1..length(cpL),kk, + tmp=select(1..length(ifL),contains(ifL_#_4,cpL_kk)); + tmp1=tmp_(length(tmp)); + cpL_kk=[cpL_kk,tmp1]; + ); + sL=apply(1..length(str),substring(str,#-1,#)); + forall(1..length(ifL),kk, + tmp1=ifL_kk_1; + tmp2=ifL_kk_2; + tmp=select(cpL,#_2==kk); + tmp3=apply(tmp,#_1); + sL_tmp1=" "; + sL_tmp2=";end;"; + sL_(tmp3_1)=" then,"; + if(length(tmp3)>1, + sL_(tmp3_2)=";else,"; + ); + ); + tmp=sum(sL); +); + +Fortosci(strorg):=( + regional(str,jj,var,tmp,tmp1,tmp2,tmp3,tmp4, + Out,repL,Pflg,Iflg,Cflg); + str=strorg; + repL=[]; + tmp1=Indexall(str,"forall"); + tmp2=Indexall(str,","); + forall(1..length(tmp1),jj, + tmp=select(tmp2,#>tmp1_jj); + var=substring(str,tmp_1,tmp_2-1); + tmp3=substring(str,tmp1_jj-1,tmp_2-1); + tmp=indexof(tmp3,"("); + tmp4=substring(tmp3,tmp,length(tmp3)); + tmp=indexof(tmp4,","); + tmp4=substring(tmp4,0,tmp-1); + tmp4="for "+var+"="+tmp4; + tmp4=replace(tmp4,"..",":"); + repL=concat(repL,[tmp3,tmp4]); + ); + forall(1..length(repL)/2, + str=replace(str,repL_(2*#-1),repL_(2*#)); + ); + tmp=Bracket(str); + tmp=select(tmp,#_2==0); + tmp=tmp_1_1; + tmp1=substring(str,tmp-1,length(str)); + tmp1=replace(tmp1,")",";end"); + str=substring(str,0,tmp-1)+tmp1; + str=replace(str,";;",";"); + str; +); + +Deffun(name,bodylist):=( +//help:Deffun("f(x)",["regional(y)","y=x^2*(x-3)","y"]); // 16.02.18 + regional(funstr,tmp,tmp1,str,Pos); + funstr=name+":=("; + forall(bodylist, + funstr=funstr+#+";"; + ); + funstr=funstr+");"; + parse(funstr); + tmp=bodylist_(length(bodylist)); + str="function "+tmp+"="+name+","; + forall(1..(length(bodylist)-1), + tmp1=bodylist_#; + tmp1=replace(tmp1,LFmark,"");// 16.05.26 + tmp1=replace(tmp1," ","");// 16.05.26 + Pos=indexof(tmp1,"regional")+indexof(tmp1,"local"); + if(Pos==0, + tmp=replace(tmp1,".xy",""); + tmp=replace(tmp,".x","(1)"); + tmp=replace(tmp,".y","(2)"); + if(indexof(tmp,"if(")>0, + tmp=iftosci(tmp); + ); + if(indexof(tmp,"forall(")>0, // 16.05.26from + tmp=Fortosci(tmp); + ); // 16.05.26upto + str=str+tmp+","; + ); + ); + str=str+"endfunction;"; + FUNLIST=append(FUNLIST,str); +); + +Windispg():=( + regional(Nj,Nk,Dt,Vj,tmp,tmp1,tmp2,tmp3,opcindy); + gsave(); + layer(KETPIClayer); + forall(GCLIST,Nj, + if(isstring(Nj_1),Dt=parse(Nj_1),Dt=Nj_1); // 11.17 + if(islist(Dt) & length(Dt)>0, // 12.19,12.22 + tmp=MeasureDepth(Dt); + if(tmp==1,Dt=[Dt]); + opcindy=Nj_3; + if(Nj_2<0,tmp1=0,tmp1=Nj_2); + if(tmp1<10, + forall(Dt,Nk, +// tmp2=apply(Nk,if(ispoint(#),Lcrd(#),#)); +// tmp2=apply(tmp2,Pcrd(#)); + tmp2=Nk; // 14.12.04 + if(length(Nk)>1, + forall(2..length(Nk), + tmp3=textformat(Nk_[#-1,#],5); + tmp3=substring(tmp3,1,length(tmp3)-1); + if(tmp1==1,opcindy=opcindy+",dashpattern->[2,2]"); + tmp="draw("+tmp3+ + ",dashtype->"+text(tmp1)+",linecolor->"+KCOLOR+opcindy+")"; + parse(tmp); + ); + , + if(length(Nk)==1, + tmp="draw("+text(tmp2_1)+opcindy+")"; // 14.12.31 + parse(tmp); + ); + ); + ); + ); + ); + ); +// if(ADDAXES=="1", // 16.10.08from +// draw([XMIN,0],[XMAX,0],color->[0,0.2,0]); +// draw([0,YMIIN],[0,YMAX],color->[0,0.2,0]); +// Letter([[XMAX,0],"e","x",[0,YMAX],"n","y"]); +// Letter([[0,0],"sw","O"]); +// ); // 16.10.08upto + grestore(); + layer(0); +); diff --git a/Master/texmf-dist/doc/support/ketcindy/LICENSE b/Master/texmf-dist/doc/support/ketcindy/LICENSE new file mode 100644 index 00000000000..6bdf89623f8 --- /dev/null +++ b/Master/texmf-dist/doc/support/ketcindy/LICENSE @@ -0,0 +1,14 @@ +// Copyright (C) 2014 Setsuo Takato, KETCindy Japan project team +// +//This program is free software: you can redistribute it and/or modify +// it under the terms of the GNU General Public License as published by +// the Free Software Foundation; either version 3 of the License, or +// (at your option) any later version. +// +// This program is distributed in the hope that it will be useful, +// but WITHOUT ANY WARRANTY; without even the implied warranty of +// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the +// GNU General Public License for more details. +// +// You should have received a copy of the GNU General Public License +// along with this program. If not, see <http://www.gnu.org/licenses/> diff --git a/Master/texmf-dist/doc/support/ketcindy/README.TeXLive b/Master/texmf-dist/doc/support/ketcindy/README.TeXLive new file mode 100644 index 00000000000..4c9b3009b6a --- /dev/null +++ b/Master/texmf-dist/doc/support/ketcindy/README.TeXLive @@ -0,0 +1,8 @@ +KETCindy for TeX Live +===================== +The files originally distributed by Prof. Takato have been adapted +by Norbert Preining to work within the framework of TeX Live. +At the moment only dirhead.txt was added to the main script location, +and a wrapper script ketcindy(.sh). + +2018-04-09 Norbert Preining diff --git a/Master/texmf-dist/doc/support/ketcindy/ScriptKeytyped.txt b/Master/texmf-dist/doc/support/ketcindy/ScriptKeytyped.txt new file mode 100644 index 00000000000..cbb97c47b3d --- /dev/null +++ b/Master/texmf-dist/doc/support/ketcindy/ScriptKeytyped.txt @@ -0,0 +1,134 @@ +if(key()=="?" % keydownlist()==[32],
+ if(!isreal(NumTyped),NumTyped=0);
+ if(NumTyped==0,
+ DispStr=
+ "Figure(1) Parent(2) Parapara(3) Movie(4) Surf(5)";
+ );
+ if(NumTyped==1,
+ DispStr=
+ "Shift+ Title(T) Para(P) AniF(A) Slide(S) Digest(D)";
+ );
+ if(NumTyped==2,
+ DispStr="Shift+ Meshlab(M) KeTCindyJS(J)";
+ );
+ if(NumTyped==3,
+ DispStr=
+ "Ch : disp(0) chg(9) N(+,-) add(<) rmv(>)";
+ );
+ drawtext(mouse().xy,DispStr,size->24);
+ NumTyped=mod(NumTyped+1,4);
+,
+ NumTyped=0;
+);
+if(key()=="1",//Mkfigure
+ Viewtex();
+ kc();
+);
+if(key()=="2",//Mkparent
+ Viewparent();
+);
+if(key()=="3",//Flipbook(Parapara)
+ Flipbook();
+);
+if(key()=="4",//Texmovie
+ Texmovie();
+ kc();
+);
+if(key()=="5",//Surface
+ Cheader();
+ Cmain();
+ kcC();
+ if(ChNum>0,
+ Ch=[ChNum];
+ ,
+ Ch=[1];
+ );
+ ChNum=0;
+);
+if(key()=="T",//Title
+ Maketitle();
+);
+if(key()=="P",//ParaF
+ Parafolder();
+);
+if(key()=="A",//Animatefile
+ Animatefile();
+);
+if(key()=="S",//Slide
+ Mkslides();
+);
+if(key()=="D",//Digest(Summary)
+ Mkslidesummary();
+);
+if(key()=="M",//Meshlab
+ Mkviewobj(OCNAME,OBJCMD,OCOPTION);
+);
+if(key()=="J",//KeTCindyJS
+ Mkketcindyjs();
+);
+
+if(key()=="0",
+ Dispchoice();
+);
+if(key()=="9",
+ if(length(Ch)==0,
+ Ch=[ChNum];
+ ,
+ if(!contains(Ch,ChNum),
+ Ch=append(Ch,ChNum);
+ ChNum=Ch_(length(Ch)-1);
+ Ch=remove(Ch,[ChNum]);
+ Ch=sort(Ch);
+ );
+ );
+ Dispchoice();
+);
+if(key()=="+",
+ ChNum=ChNum+1;
+ Dispchoice();
+);
+if(key()=="-",
+ ChNum=ChNum-1;
+ Dispchoice();
+);
+if(key()=="<",
+ if(length(select(Ch,#==ChNum))==0,
+ Ch=append(Ch,ChNum);
+ Ch=sort(Ch);
+ ChNum=ChNum+1;
+ );
+ Dispchoice();
+);
+if(key()=="^",
+ if(length(Ch)==0,
+ Ch=[ChNum];
+ ,
+ if(!contains(Ch,ChNum),
+ Ch=Ch_(1..(length(Ch)-1));
+ Ch=append(Ch,ChNum);
+ Ch=sort(Ch);
+ );
+ );
+ ChNum=ChNum+1;
+ Dispchoice();
+);
+if(key()=="~",
+ if(length(Ch)==0,
+ Ch=[ChNum];
+ ,
+ if(!contains(Ch,ChNum),
+ Ch=Ch_(1..(length(Ch)-1));
+ Ch=append(Ch,ChNum);
+ Ch=sort(Ch);
+ );
+ );
+ ChNum=max(ChNum-1,1);
+ Dispchoice();
+);
+if(key()==">",
+ if(length(Ch)>0,
+ ChNum=Ch_(length(Ch));
+ Ch=Remove(Ch,[ChNum]);
+ );
+ Dispchoice();
+);
diff --git a/Master/texmf-dist/doc/support/ketcindy/Scriptfigure.txt b/Master/texmf-dist/doc/support/ketcindy/Scriptfigure.txt new file mode 100644 index 00000000000..9a330d46491 --- /dev/null +++ b/Master/texmf-dist/doc/support/ketcindy/Scriptfigure.txt @@ -0,0 +1,16 @@ +Ketinit();
+Texparent="";
+
+Putpoint("A",[-4,0],A.xy);
+Putpoint("B",[4,0],B.xy);
+Putpoint("C",[1,4],C.xy);
+ // points can be put with Cindy button.
+
+Listplot([A,B,C,A]);
+Plotdata("1","sin(x)","x",["da"]);
+Paramplot("1","3*[cos(3*t),sin(2*t)]","t=[0,4*pi]",["Num=200","do"]);
+
+Windispg();
+
+//Help("Plotdata");
+//Help("Option");
diff --git a/Master/texmf-dist/doc/support/ketcindy/Scriptkelib.txt b/Master/texmf-dist/doc/support/ketcindy/Scriptkelib.txt new file mode 100644 index 00000000000..bd9197bac9d --- /dev/null +++ b/Master/texmf-dist/doc/support/ketcindy/Scriptkelib.txt @@ -0,0 +1,4 @@ +use("KetCindyPlugin");
+Dircdy=loaddirectory;
+setdirectory(plugindirectory);
+import("dirhead.txt");
diff --git a/Master/texmf-dist/doc/support/ketcindy/Scriptketlibsci.txt b/Master/texmf-dist/doc/support/ketcindy/Scriptketlibsci.txt new file mode 100644 index 00000000000..a703b64c79e --- /dev/null +++ b/Master/texmf-dist/doc/support/ketcindy/Scriptketlibsci.txt @@ -0,0 +1,8 @@ +use("KetCindyPlugin");
+Dircdy=loaddirectory;
+setdirectory(plugindirectory);
+import("dirheadsci.txt");
+//PathS=replace(PathS,"6.0.0","5.5.2");
+
+//Ketinit();
+//Ketinit3d();
diff --git a/Master/texmf-dist/doc/support/ketcindy/ketmanual/CindyJS/Cindy.js b/Master/texmf-dist/doc/support/ketcindy/ketmanual/CindyJS/Cindy.js new file mode 100644 index 00000000000..04aa2fd9134 --- /dev/null +++ b/Master/texmf-dist/doc/support/ketcindy/ketmanual/CindyJS/Cindy.js @@ -0,0 +1,781 @@ +/* CindyJS - (C) 2014-2016 The CindyJS Project + * Mostly licensed under the Apache License 2.0, but subprojects may use different licensing. + * See https://github.com/CindyJS/CindyJS/tree/bb244cab7fdc8d4ea030751ec40c6d384c09f464 + * for corresponding sources and their respective licensing conditions. + */ +var enableInlineVideo=function(){function p(f,k,p,F){function E(p){ea=k(E,F);f(p-(K||p));K=p}var ea,K;return{start:function(){ea||E(0)},stop:function(){p(ea);ea=null;K=0}}}function E(f,k,p,F){function E(k){!!f[p]===!!F&&k.stopImmediatePropagation();delete f[p]}return f.addEventListener(k,E,!1),E}function ja(f,k,p,F){function 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Ea(){}function ob(b){return b}function sa(b){this.r2=E();this.q3=E();p.ONE.dlShiftTo(2*b.t,this.r2);this.mu=this.r2.divide(b);this.m=b}var f={use_lines:!0,use_xyz:!1},nb=!1;"undefined"!==typeof module&& +module.exports?(module.exports=f,nb=!0):"undefined"!==typeof document?window.ClipperLib=f:self.ClipperLib=f;var V;if(nb)Y="chrome",V="Netscape";else{var Y=navigator.userAgent.toString().toLowerCase();V=navigator.appName}var I,Xb,Jb,Qa,ab,xb;I=-1!=Y.indexOf("chrome")&&-1==Y.indexOf("chromium")?1:0;nb=-1!=Y.indexOf("chromium")?1:0;Xb=-1!=Y.indexOf("safari")&&-1==Y.indexOf("chrome")&&-1==Y.indexOf("chromium")?1:0;Jb=-1!=Y.indexOf("firefox")?1:0;Y.indexOf("firefox/17");Y.indexOf("firefox/15");Y.indexOf("firefox/3"); +Qa=-1!=Y.indexOf("opera")?1:0;Y.indexOf("msie 10");Y.indexOf("msie 9");ab=-1!=Y.indexOf("msie 8")?1:0;xb=-1!=Y.indexOf("msie 7")?1:0;Y=-1!=Y.indexOf("msie ")?1:0;f.biginteger_used=null;"Microsoft Internet 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d=0;d<this.m.t;++d){var e=b[d]&32767,q=e*this.mpl+((e*this.mph+(b[d]>>15)*this.mpl&this.um)<<15)&b.DM,e=d+this.m.t;for(b[e]+=this.m.am(0,q,b,d,0,this.m.t);b[e]>=b.DV;)b[e]-=b.DV,b[++e]++}b.clamp();b.drShiftTo(this.m.t,b);0<=b.compareTo(this.m)&&b.subTo(this.m,b)};F.prototype.mulTo=function(b,d,e){b.multiplyTo(d,e);this.reduce(e)}; +F.prototype.sqrTo=function(b,d){b.squareTo(d);this.reduce(d)};p.prototype.copyTo=function(b){for(var d=this.t-1;0<=d;--d)b[d]=this[d];b.t=this.t;b.s=this.s};p.prototype.fromInt=function(b){this.t=1;this.s=0>b?-1:0;0<b?this[0]=b:-1>b?this[0]=b+this.DV:this.t=0};p.prototype.fromString=function(b,d){var e;if(16==d)e=4;else if(8==d)e=3;else if(256==d)e=8;else if(2==d)e=1;else if(32==d)e=5;else if(4==d)e=2;else{this.fromRadix(b,d);return}this.s=this.t=0;for(var q=b.length,f=!1,k=0;0<=--q;){var v=8==e? +b[q]&255:Da(b,q);0>v?"-"==b.charAt(q)&&(f=!0):(f=!1,0==k?this[this.t++]=v:k+e>this.DB?(this[this.t-1]|=(v&(1<<this.DB-k)-1)<<k,this[this.t++]=v>>this.DB-k):this[this.t-1]|=v<<k,k+=e,k>=this.DB&&(k-=this.DB))}8==e&&0!=(b[0]&128)&&(this.s=-1,0<k&&(this[this.t-1]|=(1<<this.DB-k)-1<<k));this.clamp();f&&p.ZERO.subTo(this,this)};p.prototype.clamp=function(){for(var b=this.s&this.DM;0<this.t&&this[this.t-1]==b;)--this.t};p.prototype.dlShiftTo=function(b,d){var e;for(e=this.t-1;0<=e;--e)d[e+b]=this[e];for(e= +b-1;0<=e;--e)d[e]=0;d.t=this.t+b;d.s=this.s};p.prototype.drShiftTo=function(b,d){for(var e=b;e<this.t;++e)d[e-b]=this[e];d.t=Math.max(this.t-b,0);d.s=this.s};p.prototype.lShiftTo=function(b,d){var e=b%this.DB,q=this.DB-e,f=(1<<q)-1,k=Math.floor(b/this.DB),v=this.s<<e&this.DM,C;for(C=this.t-1;0<=C;--C)d[C+k+1]=this[C]>>q|v,v=(this[C]&f)<<e;for(C=k-1;0<=C;--C)d[C]=0;d[k]=v;d.t=this.t+k+1;d.s=this.s;d.clamp()};p.prototype.rShiftTo=function(b,d){d.s=this.s;var e=Math.floor(b/this.DB);if(e>=this.t)d.t= +0;else{var q=b%this.DB,f=this.DB-q,k=(1<<q)-1;d[0]=this[e]>>q;for(var v=e+1;v<this.t;++v)d[v-e-1]|=(this[v]&k)<<f,d[v-e]=this[v]>>q;0<q&&(d[this.t-e-1]|=(this.s&k)<<f);d.t=this.t-e;d.clamp()}};p.prototype.subTo=function(b,d){for(var e=0,f=0,n=Math.min(b.t,this.t);e<n;)f+=this[e]-b[e],d[e++]=f&this.DM,f>>=this.DB;if(b.t<this.t){for(f-=b.s;e<this.t;)f+=this[e],d[e++]=f&this.DM,f>>=this.DB;f+=this.s}else{for(f+=this.s;e<b.t;)f-=b[e],d[e++]=f&this.DM,f>>=this.DB;f-=b.s}d.s=0>f?-1:0;-1>f?d[e++]=this.DV+ +f:0<f&&(d[e++]=f);d.t=e;d.clamp()};p.prototype.multiplyTo=function(b,d){var e=this.abs(),f=b.abs(),n=e.t;for(d.t=n+f.t;0<=--n;)d[n]=0;for(n=0;n<f.t;++n)d[n+e.t]=e.am(0,f[n],d,n,0,e.t);d.s=0;d.clamp();this.s!=b.s&&p.ZERO.subTo(d,d)};p.prototype.squareTo=function(b){for(var d=this.abs(),e=b.t=2*d.t;0<=--e;)b[e]=0;for(e=0;e<d.t-1;++e){var f=d.am(e,d[e],b,2*e,0,1);(b[e+d.t]+=d.am(e+1,2*d[e],b,2*e+1,f,d.t-e-1))>=d.DV&&(b[e+d.t]-=d.DV,b[e+d.t+1]=1)}0<b.t&&(b[b.t-1]+=d.am(e,d[e],b,2*e,0,1));b.s=0;b.clamp()}; +p.prototype.divRemTo=function(b,d,e){var f=b.abs();if(!(0>=f.t)){var n=this.abs();if(n.t<f.t)null!=d&&d.fromInt(0),null!=e&&this.copyTo(e);else{null==e&&(e=E());var N=E(),v=this.s;b=b.s;var C=this.DB-k(f[f.t-1]);0<C?(f.lShiftTo(C,N),n.lShiftTo(C,e)):(f.copyTo(N),n.copyTo(e));f=N.t;n=N[f-1];if(0!=n){var F=n*(1<<this.F1)+(1<f?N[f-2]>>this.F2:0),bb=this.FV/F,F=(1<<this.F1)/F,pb=1<<this.F2,H=e.t,ea=H-f,K=null==d?E():d;N.dlShiftTo(ea,K);0<=e.compareTo(K)&&(e[e.t++]=1,e.subTo(K,e));p.ONE.dlShiftTo(f,K); +for(K.subTo(N,N);N.t<f;)N[N.t++]=0;for(;0<=--ea;){var I=e[--H]==n?this.DM:Math.floor(e[H]*bb+(e[H-1]+pb)*F);if((e[H]+=N.am(0,I,e,ea,0,f))<I)for(N.dlShiftTo(ea,K),e.subTo(K,e);e[H]<--I;)e.subTo(K,e)}null!=d&&(e.drShiftTo(f,d),v!=b&&p.ZERO.subTo(d,d));e.t=f;e.clamp();0<C&&e.rShiftTo(C,e);0>v&&p.ZERO.subTo(e,e)}}}};p.prototype.invDigit=function(){if(1>this.t)return 0;var b=this[0];if(0==(b&1))return 0;var d=b&3,d=d*(2-(b&15)*d)&15,d=d*(2-(b&255)*d)&255,d=d*(2-((b&65535)*d&65535))&65535,d=d*(2-b*d%this.DV)% +this.DV;return 0<d?this.DV-d:-d};p.prototype.isEven=function(){return 0==(0<this.t?this[0]&1:this.s)};p.prototype.exp=function(b,d){if(4294967295<b||1>b)return p.ONE;var e=E(),f=E(),n=d.convert(this),N=k(b)-1;for(n.copyTo(e);0<=--N;)if(d.sqrTo(e,f),0<(b&1<<N))d.mulTo(f,n,e);else var v=e,e=f,f=v;return d.revert(e)};p.prototype.toString=function(b){if(0>this.s)return"-"+this.negate().toString(b);if(16==b)b=4;else if(8==b)b=3;else if(2==b)b=1;else if(32==b)b=5;else if(4==b)b=2;else return this.toRadix(b); +var d=(1<<b)-1,e,f=!1,n="",k=this.t,v=this.DB-k*this.DB%b;if(0<k--)for(v<this.DB&&0<(e=this[k]>>v)&&(f=!0,n="0123456789abcdefghijklmnopqrstuvwxyz".charAt(e));0<=k;)v<b?(e=(this[k]&(1<<v)-1)<<b-v,e|=this[--k]>>(v+=this.DB-b)):(e=this[k]>>(v-=b)&d,0>=v&&(v+=this.DB,--k)),0<e&&(f=!0),f&&(n+="0123456789abcdefghijklmnopqrstuvwxyz".charAt(e));return f?n:"0"};p.prototype.negate=function(){var b=E();p.ZERO.subTo(this,b);return b};p.prototype.abs=function(){return 0>this.s?this.negate():this};p.prototype.compareTo= +function(b){var d=this.s-b.s;if(0!=d)return d;var e=this.t,d=e-b.t;if(0!=d)return 0>this.s?-d:d;for(;0<=--e;)if(0!=(d=this[e]-b[e]))return d;return 0};p.prototype.bitLength=function(){return 0>=this.t?0:this.DB*(this.t-1)+k(this[this.t-1]^this.s&this.DM)};p.prototype.mod=function(b){var d=E();this.abs().divRemTo(b,null,d);0>this.s&&0<d.compareTo(p.ZERO)&&b.subTo(d,d);return d};p.prototype.modPowInt=function(b,d){var e;e=256>b||d.isEven()?new Oa(d):new F(d);return this.exp(b,e)};p.ZERO=aa(0);p.ONE= +aa(1);Ea.prototype.convert=ob;Ea.prototype.revert=ob;Ea.prototype.mulTo=function(b,d,e){b.multiplyTo(d,e)};Ea.prototype.sqrTo=function(b,d){b.squareTo(d)};sa.prototype.convert=function(b){if(0>b.s||b.t>2*this.m.t)return b.mod(this.m);if(0>b.compareTo(this.m))return b;var d=E();b.copyTo(d);this.reduce(d);return d};sa.prototype.revert=function(b){return b};sa.prototype.reduce=function(b){b.drShiftTo(this.m.t-1,this.r2);b.t>this.m.t+1&&(b.t=this.m.t+1,b.clamp());this.mu.multiplyUpperTo(this.r2,this.m.t+ +1,this.q3);for(this.m.multiplyLowerTo(this.q3,this.m.t+1,this.r2);0>b.compareTo(this.r2);)b.dAddOffset(1,this.m.t+1);for(b.subTo(this.r2,b);0<=b.compareTo(this.m);)b.subTo(this.m,b)};sa.prototype.mulTo=function(b,d,e){b.multiplyTo(d,e);this.reduce(e)};sa.prototype.sqrTo=function(b,d){b.squareTo(d);this.reduce(d)};var H=[2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,53,59,61,67,71,73,79,83,89,97,101,103,107,109,113,127,131,137,139,149,151,157,163,167,173,179,181,191,193,197,199,211,223,227,229,233,239, +241,251,257,263,269,271,277,281,283,293,307,311,313,317,331,337,347,349,353,359,367,373,379,383,389,397,401,409,419,421,431,433,439,443,449,457,461,463,467,479,487,491,499,503,509,521,523,541,547,557,563,569,571,577,587,593,599,601,607,613,617,619,631,641,643,647,653,659,661,673,677,683,691,701,709,719,727,733,739,743,751,757,761,769,773,787,797,809,811,821,823,827,829,839,853,857,859,863,877,881,883,887,907,911,919,929,937,941,947,953,967,971,977,983,991,997],Zb=67108864/H[H.length-1];p.prototype.chunkSize= +function(b){return Math.floor(Math.LN2*this.DB/Math.log(b))};p.prototype.toRadix=function(b){null==b&&(b=10);if(0==this.signum()||2>b||36<b)return"0";var d=this.chunkSize(b),d=Math.pow(b,d),e=aa(d),f=E(),n=E(),k="";for(this.divRemTo(e,f,n);0<f.signum();)k=(d+n.intValue()).toString(b).substr(1)+k,f.divRemTo(e,f,n);return n.intValue().toString(b)+k};p.prototype.fromRadix=function(b,d){this.fromInt(0);null==d&&(d=10);for(var e=this.chunkSize(d),f=Math.pow(d,e),n=!1,k=0,v=0,C=0;C<b.length;++C){var F= +Da(b,C);0>F?"-"==b.charAt(C)&&0==this.signum()&&(n=!0):(v=d*v+F,++k>=e&&(this.dMultiply(f),this.dAddOffset(v,0),v=k=0))}0<k&&(this.dMultiply(Math.pow(d,k)),this.dAddOffset(v,0));n&&p.ZERO.subTo(this,this)};p.prototype.fromNumber=function(b,d,e){if("number"==typeof d)if(2>b)this.fromInt(1);else for(this.fromNumber(b,e),this.testBit(b-1)||this.bitwiseTo(p.ONE.shiftLeft(b-1),K,this),this.isEven()&&this.dAddOffset(1,0);!this.isProbablePrime(d);)this.dAddOffset(2,0),this.bitLength()>b&&this.subTo(p.ONE.shiftLeft(b- +1),this);else{e=[];var f=b&7;e.length=(b>>3)+1;d.nextBytes(e);e[0]=0<f?e[0]&(1<<f)-1:0;this.fromString(e,256)}};p.prototype.bitwiseTo=function(b,d,e){var f,n,k=Math.min(b.t,this.t);for(f=0;f<k;++f)e[f]=d(this[f],b[f]);if(b.t<this.t){n=b.s&this.DM;for(f=k;f<this.t;++f)e[f]=d(this[f],n);e.t=this.t}else{n=this.s&this.DM;for(f=k;f<b.t;++f)e[f]=d(n,b[f]);e.t=b.t}e.s=d(this.s,b.s);e.clamp()};p.prototype.changeBit=function(b,d){var e=p.ONE.shiftLeft(b);this.bitwiseTo(e,d,e);return e};p.prototype.addTo=function(b, +d){for(var e=0,f=0,n=Math.min(b.t,this.t);e<n;)f+=this[e]+b[e],d[e++]=f&this.DM,f>>=this.DB;if(b.t<this.t){for(f+=b.s;e<this.t;)f+=this[e],d[e++]=f&this.DM,f>>=this.DB;f+=this.s}else{for(f+=this.s;e<b.t;)f+=b[e],d[e++]=f&this.DM,f>>=this.DB;f+=b.s}d.s=0>f?-1:0;0<f?d[e++]=f:-1>f&&(d[e++]=this.DV+f);d.t=e;d.clamp()};p.prototype.dMultiply=function(b){this[this.t]=this.am(0,b-1,this,0,0,this.t);++this.t;this.clamp()};p.prototype.dAddOffset=function(b,d){if(0!=b){for(;this.t<=d;)this[this.t++]=0;for(this[d]+= +b;this[d]>=this.DV;)this[d]-=this.DV,++d>=this.t&&(this[this.t++]=0),++this[d]}};p.prototype.multiplyLowerTo=function(b,d,e){var f=Math.min(this.t+b.t,d);e.s=0;for(e.t=f;0<f;)e[--f]=0;var n;for(n=e.t-this.t;f<n;++f)e[f+this.t]=this.am(0,b[f],e,f,0,this.t);for(n=Math.min(b.t,d);f<n;++f)this.am(0,b[f],e,f,0,d-f);e.clamp()};p.prototype.multiplyUpperTo=function(b,d,e){--d;var f=e.t=this.t+b.t-d;for(e.s=0;0<=--f;)e[f]=0;for(f=Math.max(d-this.t,0);f<b.t;++f)e[this.t+f-d]=this.am(d-f,b[f],e,0,0,this.t+f- +d);e.clamp();e.drShiftTo(1,e)};p.prototype.modInt=function(b){if(0>=b)return 0;var d=this.DV%b,e=0>this.s?b-1:0;if(0<this.t)if(0==d)e=this[0]%b;else for(var f=this.t-1;0<=f;--f)e=(d*e+this[f])%b;return e};p.prototype.millerRabin=function(b){var d=this.subtract(p.ONE),e=d.getLowestSetBit();if(0>=e)return!1;var f=d.shiftRight(e);b=b+1>>1;b>H.length&&(b=H.length);for(var n=E(),k=0;k<b;++k){n.fromInt(H[Math.floor(Math.random()*H.length)]);var v=n.modPow(f,this);if(0!=v.compareTo(p.ONE)&&0!=v.compareTo(d)){for(var C= +1;C++<e&&0!=v.compareTo(d);)if(v=v.modPowInt(2,this),0==v.compareTo(p.ONE))return!1;if(0!=v.compareTo(d))return!1}}return!0};p.prototype.clone=function(){var b=E();this.copyTo(b);return b};p.prototype.intValue=function(){if(0>this.s){if(1==this.t)return this[0]-this.DV;if(0==this.t)return-1}else{if(1==this.t)return this[0];if(0==this.t)return 0}return(this[1]&(1<<32-this.DB)-1)<<this.DB|this[0]};p.prototype.byteValue=function(){return 0==this.t?this.s:this[0]<<24>>24};p.prototype.shortValue=function(){return 0== +this.t?this.s:this[0]<<16>>16};p.prototype.signum=function(){return 0>this.s?-1:0>=this.t||1==this.t&&0>=this[0]?0:1};p.prototype.toByteArray=function(){var b=this.t,d=[];d[0]=this.s;var e=this.DB-b*this.DB%8,f,n=0;if(0<b--)for(e<this.DB&&(f=this[b]>>e)!=(this.s&this.DM)>>e&&(d[n++]=f|this.s<<this.DB-e);0<=b;)if(8>e?(f=(this[b]&(1<<e)-1)<<8-e,f|=this[--b]>>(e+=this.DB-8)):(f=this[b]>>(e-=8)&255,0>=e&&(e+=this.DB,--b)),0!=(f&128)&&(f|=-256),0==n&&(this.s&128)!=(f&128)&&++n,0<n||f!=this.s)d[n++]=f; +return d};p.prototype.equals=function(b){return 0==this.compareTo(b)};p.prototype.min=function(b){return 0>this.compareTo(b)?this:b};p.prototype.max=function(b){return 0<this.compareTo(b)?this:b};p.prototype.and=function(b){var d=E();this.bitwiseTo(b,ea,d);return d};p.prototype.or=function(b){var d=E();this.bitwiseTo(b,K,d);return d};p.prototype.xor=function(b){var d=E();this.bitwiseTo(b,U,d);return d};p.prototype.andNot=function(b){var d=E();this.bitwiseTo(b,W,d);return d};p.prototype.not=function(){for(var b= +E(),d=0;d<this.t;++d)b[d]=this.DM&~this[d];b.t=this.t;b.s=~this.s;return b};p.prototype.shiftLeft=function(b){var d=E();0>b?this.rShiftTo(-b,d):this.lShiftTo(b,d);return d};p.prototype.shiftRight=function(b){var d=E();0>b?this.lShiftTo(-b,d):this.rShiftTo(b,d);return d};p.prototype.getLowestSetBit=function(){for(var b=0;b<this.t;++b)if(0!=this[b]){var d=b*this.DB,b=this[b];if(0==b)b=-1;else{var e=0;0==(b&65535)&&(b>>=16,e+=16);0==(b&255)&&(b>>=8,e+=8);0==(b&15)&&(b>>=4,e+=4);0==(b&3)&&(b>>=2,e+=2); +0==(b&1)&&++e;b=e}return d+b}return 0>this.s?this.t*this.DB:-1};p.prototype.bitCount=function(){for(var b=0,d=this.s&this.DM,e=0;e<this.t;++e){for(var f=this[e]^d,n=0;0!=f;)f&=f-1,++n;b+=n}return b};p.prototype.testBit=function(b){var d=Math.floor(b/this.DB);return d>=this.t?0!=this.s:0!=(this[d]&1<<b%this.DB)};p.prototype.setBit=function(b){return this.changeBit(b,K)};p.prototype.clearBit=function(b){return this.changeBit(b,W)};p.prototype.flipBit=function(b){return this.changeBit(b,U)};p.prototype.add= +function(b){var d=E();this.addTo(b,d);return d};p.prototype.subtract=function(b){var d=E();this.subTo(b,d);return d};p.prototype.multiply=function(b){var d=E();this.multiplyTo(b,d);return d};p.prototype.divide=function(b){var d=E();this.divRemTo(b,d,null);return d};p.prototype.remainder=function(b){var d=E();this.divRemTo(b,null,d);return d};p.prototype.divideAndRemainder=function(b){var d=E(),e=E();this.divRemTo(b,d,e);return[d,e]};p.prototype.modPow=function(b,d){var e=b.bitLength(),f,n=aa(1),N; +if(0>=e)return n;f=18>e?1:48>e?3:144>e?4:768>e?5:6;N=8>e?new Oa(d):d.isEven()?new sa(d):new F(d);var v=[],C=3,p=f-1,bb=(1<<f)-1;v[1]=N.convert(this);if(1<f)for(e=E(),N.sqrTo(v[1],e);C<=bb;)v[C]=E(),N.mulTo(e,v[C-2],v[C]),C+=2;for(var H=b.t-1,K,ea=!0,I=E(),e=k(b[H])-1;0<=H;){e>=p?K=b[H]>>e-p&bb:(K=(b[H]&(1<<e+1)-1)<<p-e,0<H&&(K|=b[H-1]>>this.DB+e-p));for(C=f;0==(K&1);)K>>=1,--C;0>(e-=C)&&(e+=this.DB,--H);if(ea)v[K].copyTo(n),ea=!1;else{for(;1<C;)N.sqrTo(n,I),N.sqrTo(I,n),C-=2;0<C?N.sqrTo(n,I):(C=n, +n=I,I=C);N.mulTo(I,v[K],n)}for(;0<=H&&0==(b[H]&1<<e);)N.sqrTo(n,I),C=n,n=I,I=C,0>--e&&(e=this.DB-1,--H)}return N.revert(n)};p.prototype.modInverse=function(b){var d=b.isEven();if(this.isEven()&&d||0==b.signum())return p.ZERO;for(var e=b.clone(),f=this.clone(),n=aa(1),k=aa(0),v=aa(0),C=aa(1);0!=e.signum();){for(;e.isEven();)e.rShiftTo(1,e),d?(n.isEven()&&k.isEven()||(n.addTo(this,n),k.subTo(b,k)),n.rShiftTo(1,n)):k.isEven()||k.subTo(b,k),k.rShiftTo(1,k);for(;f.isEven();)f.rShiftTo(1,f),d?(v.isEven()&& +C.isEven()||(v.addTo(this,v),C.subTo(b,C)),v.rShiftTo(1,v)):C.isEven()||C.subTo(b,C),C.rShiftTo(1,C);0<=e.compareTo(f)?(e.subTo(f,e),d&&n.subTo(v,n),k.subTo(C,k)):(f.subTo(e,f),d&&v.subTo(n,v),C.subTo(k,C))}if(0!=f.compareTo(p.ONE))return p.ZERO;if(0<=C.compareTo(b))return C.subtract(b);if(0>C.signum())C.addTo(b,C);else return C;return 0>C.signum()?C.add(b):C};p.prototype.pow=function(b){return this.exp(b,new Ea)};p.prototype.gcd=function(b){var d=0>this.s?this.negate():this.clone();b=0>b.s?b.negate(): +b.clone();if(0>d.compareTo(b)){var e=d,d=b;b=e}var e=d.getLowestSetBit(),f=b.getLowestSetBit();if(0>f)return d;e<f&&(f=e);for(0<f&&(d.rShiftTo(f,d),b.rShiftTo(f,b));0<d.signum();)0<(e=d.getLowestSetBit())&&d.rShiftTo(e,d),0<(e=b.getLowestSetBit())&&b.rShiftTo(e,b),0<=d.compareTo(b)?(d.subTo(b,d),d.rShiftTo(1,d)):(b.subTo(d,b),b.rShiftTo(1,b));0<f&&b.lShiftTo(f,b);return b};p.prototype.isProbablePrime=function(b){var d,e=this.abs();if(1==e.t&&e[0]<=H[H.length-1]){for(d=0;d<H.length;++d)if(e[0]==H[d])return!0; +return!1}if(e.isEven())return!1;for(d=1;d<H.length;){for(var f=H[d],n=d+1;n<H.length&&f<Zb;)f*=H[n++];for(f=e.modInt(f);d<n;)if(0==f%H[d++])return!1}return e.millerRabin(b)};p.prototype.square=function(){var b=E();this.squareTo(b);return b};p.prototype.IsNegative=function(){return-1==this.compareTo(p.ZERO)?!0:!1};p.op_Equality=function(b,d){return 0==b.compareTo(d)?!0:!1};p.op_Inequality=function(b,d){return 0!=b.compareTo(d)?!0:!1};p.op_GreaterThan=function(b,d){return 0<b.compareTo(d)?!0:!1};p.op_LessThan= +function(b,d){return 0>b.compareTo(d)?!0:!1};p.op_Addition=function(b,d){return(new p(b)).add(new p(d))};p.op_Subtraction=function(b,d){return(new p(b)).subtract(new p(d))};p.Int128Mul=function(b,d){return(new p(b)).multiply(new p(d))};p.op_Division=function(b,d){return b.divide(d)};p.prototype.ToDouble=function(){return parseFloat(this.toString())};V=function(b,d){var e;if("undefined"==typeof Object.getOwnPropertyNames)for(e in d.prototype){if("undefined"==typeof b.prototype[e]||b.prototype[e]== +Object.prototype[e])b.prototype[e]=d.prototype[e]}else for(var f=Object.getOwnPropertyNames(d.prototype),n=0;n<f.length;n++)"undefined"==typeof Object.getOwnPropertyDescriptor(b.prototype,f[n])&&Object.defineProperty(b.prototype,f[n],Object.getOwnPropertyDescriptor(d.prototype,f[n]));for(e in d)"undefined"==typeof b[e]&&(b[e]=d[e]);b.$baseCtor=d};f.Path=function(){return[]};f.Paths=function(){return[]};f.DoublePoint=function(){var b=arguments;this.Y=this.X=0;1==b.length?(this.X=b[0].X,this.Y=b[0].Y): +2==b.length&&(this.X=b[0],this.Y=b[1])};f.DoublePoint0=function(){this.Y=this.X=0};f.DoublePoint1=function(b){this.X=b.X;this.Y=b.Y};f.DoublePoint2=function(b,d){this.X=b;this.Y=d};f.PolyNode=function(){this.m_Parent=null;this.m_polygon=new f.Path;this.m_endtype=this.m_jointype=this.m_Index=0;this.m_Childs=[];this.IsOpen=!1};f.PolyNode.prototype.IsHoleNode=function(){for(var b=!0,d=this.m_Parent;null!==d;)b=!b,d=d.m_Parent;return b};f.PolyNode.prototype.ChildCount=function(){return this.m_Childs.length}; +f.PolyNode.prototype.Contour=function(){return this.m_polygon};f.PolyNode.prototype.AddChild=function(b){var d=this.m_Childs.length;this.m_Childs.push(b);b.m_Parent=this;b.m_Index=d};f.PolyNode.prototype.GetNext=function(){return 0<this.m_Childs.length?this.m_Childs[0]:this.GetNextSiblingUp()};f.PolyNode.prototype.GetNextSiblingUp=function(){return null===this.m_Parent?null:this.m_Index==this.m_Parent.m_Childs.length-1?this.m_Parent.GetNextSiblingUp():this.m_Parent.m_Childs[this.m_Index+1]};f.PolyNode.prototype.Childs= +function(){return this.m_Childs};f.PolyNode.prototype.Parent=function(){return this.m_Parent};f.PolyNode.prototype.IsHole=function(){return this.IsHoleNode()};f.PolyTree=function(){this.m_AllPolys=[];f.PolyNode.call(this)};f.PolyTree.prototype.Clear=function(){for(var b=0,d=this.m_AllPolys.length;b<d;b++)this.m_AllPolys[b]=null;this.m_AllPolys.length=0;this.m_Childs.length=0};f.PolyTree.prototype.GetFirst=function(){return 0<this.m_Childs.length?this.m_Childs[0]:null};f.PolyTree.prototype.Total=function(){var b= +this.m_AllPolys.length;0<b&&this.m_Childs[0]!=this.m_AllPolys[0]&&b--;return b};V(f.PolyTree,f.PolyNode);f.Math_Abs_Int64=f.Math_Abs_Int32=f.Math_Abs_Double=function(b){return Math.abs(b)};f.Math_Max_Int32_Int32=function(b,d){return Math.max(b,d)};f.Cast_Int32=Y||Qa||Xb?function(b){return b|0}:function(b){return~~b};f.Cast_Int64=I?function(b){return-2147483648>b||2147483647<b?0>b?Math.ceil(b):Math.floor(b):~~b}:Jb&&"function"==typeof Number.toInteger?function(b){return Number.toInteger(b)}:xb||ab? +function(b){return parseInt(b,10)}:Y?function(b){return-2147483648>b||2147483647<b?0>b?Math.ceil(b):Math.floor(b):b|0}:function(b){return 0>b?Math.ceil(b):Math.floor(b)};f.Clear=function(b){b.length=0};f.PI=3.141592653589793;f.PI2=6.283185307179586;f.IntPoint=function(){var b=arguments,d=b.length;this.Y=this.X=0;f.use_xyz?(this.Z=0,3==d?(this.X=b[0],this.Y=b[1],this.Z=b[2]):2==d?(this.X=b[0],this.Y=b[1],this.Z=0):1==d?b[0]instanceof f.DoublePoint?(b=b[0],this.X=f.Clipper.Round(b.X),this.Y=f.Clipper.Round(b.Y), +this.Z=0):(b=b[0],"undefined"==typeof b.Z&&(b.Z=0),this.X=b.X,this.Y=b.Y,this.Z=b.Z):this.Z=this.Y=this.X=0):2==d?(this.X=b[0],this.Y=b[1]):1==d?b[0]instanceof f.DoublePoint?(b=b[0],this.X=f.Clipper.Round(b.X),this.Y=f.Clipper.Round(b.Y)):(b=b[0],this.X=b.X,this.Y=b.Y):this.Y=this.X=0};f.IntPoint.op_Equality=function(b,d){return b.X==d.X&&b.Y==d.Y};f.IntPoint.op_Inequality=function(b,d){return b.X!=d.X||b.Y!=d.Y};f.use_xyz?(f.IntPoint0=function(){this.Z=this.Y=this.X=0},f.IntPoint1=function(b){this.X= +b.X;this.Y=b.Y;this.Z=b.Z},f.IntPoint1dp=function(b){this.X=f.Clipper.Round(b.X);this.Y=f.Clipper.Round(b.Y);this.Z=0},f.IntPoint2=function(b,d){this.X=b;this.Y=d;this.Z=0},f.IntPoint3=function(b,d,e){this.X=b;this.Y=d;this.Z=e}):(f.IntPoint0=function(){this.Y=this.X=0},f.IntPoint1=function(b){this.X=b.X;this.Y=b.Y},f.IntPoint1dp=function(b){this.X=f.Clipper.Round(b.X);this.Y=f.Clipper.Round(b.Y)},f.IntPoint2=function(b,d){this.X=b;this.Y=d});f.IntRect=function(){var b=arguments,d=b.length;4==d?(this.left= +b[0],this.top=b[1],this.right=b[2],this.bottom=b[3]):1==d?(this.left=b[0].left,this.top=b[0].top,this.right=b[0].right,this.bottom=b[0].bottom):this.bottom=this.right=this.top=this.left=0};f.IntRect0=function(){this.bottom=this.right=this.top=this.left=0};f.IntRect1=function(b){this.left=b.left;this.top=b.top;this.right=b.right;this.bottom=b.bottom};f.IntRect4=function(b,d,e,f){this.left=b;this.top=d;this.right=e;this.bottom=f};f.ClipType={ctIntersection:0,ctUnion:1,ctDifference:2,ctXor:3};f.PolyType= +{ptSubject:0,ptClip:1};f.PolyFillType={pftEvenOdd:0,pftNonZero:1,pftPositive:2,pftNegative:3};f.JoinType={jtSquare:0,jtRound:1,jtMiter:2};f.EndType={etOpenSquare:0,etOpenRound:1,etOpenButt:2,etClosedLine:3,etClosedPolygon:4};f.EdgeSide={esLeft:0,esRight:1};f.Direction={dRightToLeft:0,dLeftToRight:1};f.TEdge=function(){this.Bot=new f.IntPoint;this.Curr=new f.IntPoint;this.Top=new f.IntPoint;this.Delta=new f.IntPoint;this.Dx=0;this.PolyTyp=f.PolyType.ptSubject;this.Side=f.EdgeSide.esLeft;this.OutIdx= +this.WindCnt2=this.WindCnt=this.WindDelta=0;this.PrevInSEL=this.NextInSEL=this.PrevInAEL=this.NextInAEL=this.NextInLML=this.Prev=this.Next=null};f.IntersectNode=function(){this.Edge2=this.Edge1=null;this.Pt=new f.IntPoint};f.MyIntersectNodeSort=function(){};f.MyIntersectNodeSort.Compare=function(b,d){var e=d.Pt.Y-b.Pt.Y;return 0<e?1:0>e?-1:0};f.LocalMinima=function(){this.Y=0;this.Next=this.RightBound=this.LeftBound=null};f.Scanbeam=function(){this.Y=0;this.Next=null};f.OutRec=function(){this.Idx= +0;this.IsOpen=this.IsHole=!1;this.PolyNode=this.BottomPt=this.Pts=this.FirstLeft=null};f.OutPt=function(){this.Idx=0;this.Pt=new f.IntPoint;this.Prev=this.Next=null};f.Join=function(){this.OutPt2=this.OutPt1=null;this.OffPt=new f.IntPoint};f.ClipperBase=function(){this.m_CurrentLM=this.m_MinimaList=null;this.m_edges=[];this.PreserveCollinear=this.m_HasOpenPaths=this.m_UseFullRange=!1;this.m_CurrentLM=this.m_MinimaList=null;this.m_HasOpenPaths=this.m_UseFullRange=!1};f.ClipperBase.horizontal=-9007199254740992; +f.ClipperBase.Skip=-2;f.ClipperBase.Unassigned=-1;f.ClipperBase.tolerance=1E-20;f.ClipperBase.loRange=47453132;f.ClipperBase.hiRange=0xfffffffffffff;f.ClipperBase.near_zero=function(b){return b>-f.ClipperBase.tolerance&&b<f.ClipperBase.tolerance};f.ClipperBase.IsHorizontal=function(b){return 0===b.Delta.Y};f.ClipperBase.prototype.PointIsVertex=function(b,d){var e=d;do{if(f.IntPoint.op_Equality(e.Pt,b))return!0;e=e.Next}while(e!=d);return!1};f.ClipperBase.prototype.PointOnLineSegment=function(b,d, +e,f){return f?b.X==d.X&&b.Y==d.Y||b.X==e.X&&b.Y==e.Y||b.X>d.X==b.X<e.X&&b.Y>d.Y==b.Y<e.Y&&p.op_Equality(p.Int128Mul(b.X-d.X,e.Y-d.Y),p.Int128Mul(e.X-d.X,b.Y-d.Y)):b.X==d.X&&b.Y==d.Y||b.X==e.X&&b.Y==e.Y||b.X>d.X==b.X<e.X&&b.Y>d.Y==b.Y<e.Y&&(b.X-d.X)*(e.Y-d.Y)==(e.X-d.X)*(b.Y-d.Y)};f.ClipperBase.prototype.PointOnPolygon=function(b,d,e){for(var f=d;;){if(this.PointOnLineSegment(b,f.Pt,f.Next.Pt,e))return!0;f=f.Next;if(f==d)break}return!1};f.ClipperBase.prototype.SlopesEqual=f.ClipperBase.SlopesEqual= +function(){var b=arguments,d=b.length,e,q,n;if(3==d)return d=b[0],e=b[1],b[2]?p.op_Equality(p.Int128Mul(d.Delta.Y,e.Delta.X),p.Int128Mul(d.Delta.X,e.Delta.Y)):f.Cast_Int64(d.Delta.Y*e.Delta.X)==f.Cast_Int64(d.Delta.X*e.Delta.Y);if(4==d)return d=b[0],e=b[1],q=b[2],b[3]?p.op_Equality(p.Int128Mul(d.Y-e.Y,e.X-q.X),p.Int128Mul(d.X-e.X,e.Y-q.Y)):0===f.Cast_Int64((d.Y-e.Y)*(e.X-q.X))-f.Cast_Int64((d.X-e.X)*(e.Y-q.Y));d=b[0];e=b[1];q=b[2];n=b[3];return b[4]?p.op_Equality(p.Int128Mul(d.Y-e.Y,q.X-n.X),p.Int128Mul(d.X- +e.X,q.Y-n.Y)):0===f.Cast_Int64((d.Y-e.Y)*(q.X-n.X))-f.Cast_Int64((d.X-e.X)*(q.Y-n.Y))};f.ClipperBase.SlopesEqual3=function(b,d,e){return e?p.op_Equality(p.Int128Mul(b.Delta.Y,d.Delta.X),p.Int128Mul(b.Delta.X,d.Delta.Y)):f.Cast_Int64(b.Delta.Y*d.Delta.X)==f.Cast_Int64(b.Delta.X*d.Delta.Y)};f.ClipperBase.SlopesEqual4=function(b,d,e,q){return q?p.op_Equality(p.Int128Mul(b.Y-d.Y,d.X-e.X),p.Int128Mul(b.X-d.X,d.Y-e.Y)):0===f.Cast_Int64((b.Y-d.Y)*(d.X-e.X))-f.Cast_Int64((b.X-d.X)*(d.Y-e.Y))};f.ClipperBase.SlopesEqual5= +function(b,d,e,q,n){return n?p.op_Equality(p.Int128Mul(b.Y-d.Y,e.X-q.X),p.Int128Mul(b.X-d.X,e.Y-q.Y)):0===f.Cast_Int64((b.Y-d.Y)*(e.X-q.X))-f.Cast_Int64((b.X-d.X)*(e.Y-q.Y))};f.ClipperBase.prototype.Clear=function(){this.DisposeLocalMinimaList();for(var b=0,d=this.m_edges.length;b<d;++b){for(var e=0,q=this.m_edges[b].length;e<q;++e)this.m_edges[b][e]=null;f.Clear(this.m_edges[b])}f.Clear(this.m_edges);this.m_HasOpenPaths=this.m_UseFullRange=!1};f.ClipperBase.prototype.DisposeLocalMinimaList=function(){for(;null!== +this.m_MinimaList;){var b=this.m_MinimaList.Next;this.m_MinimaList=null;this.m_MinimaList=b}this.m_CurrentLM=null};f.ClipperBase.prototype.RangeTest=function(b,d){if(d.Value)(b.X>f.ClipperBase.hiRange||b.Y>f.ClipperBase.hiRange||-b.X>f.ClipperBase.hiRange||-b.Y>f.ClipperBase.hiRange)&&f.Error("Coordinate outside allowed range in RangeTest().");else if(b.X>f.ClipperBase.loRange||b.Y>f.ClipperBase.loRange||-b.X>f.ClipperBase.loRange||-b.Y>f.ClipperBase.loRange)d.Value=!0,this.RangeTest(b,d)};f.ClipperBase.prototype.InitEdge= +function(b,d,e,q){b.Next=d;b.Prev=e;b.Curr.X=q.X;b.Curr.Y=q.Y;f.use_xyz&&(b.Curr.Z=q.Z);b.OutIdx=-1};f.ClipperBase.prototype.InitEdge2=function(b,d){b.Curr.Y>=b.Next.Curr.Y?(b.Bot.X=b.Curr.X,b.Bot.Y=b.Curr.Y,f.use_xyz&&(b.Bot.Z=b.Curr.Z),b.Top.X=b.Next.Curr.X,b.Top.Y=b.Next.Curr.Y,f.use_xyz&&(b.Top.Z=b.Next.Curr.Z)):(b.Top.X=b.Curr.X,b.Top.Y=b.Curr.Y,f.use_xyz&&(b.Top.Z=b.Curr.Z),b.Bot.X=b.Next.Curr.X,b.Bot.Y=b.Next.Curr.Y,f.use_xyz&&(b.Bot.Z=b.Next.Curr.Z));this.SetDx(b);b.PolyTyp=d};f.ClipperBase.prototype.FindNextLocMin= +function(b){for(var d;;){for(;f.IntPoint.op_Inequality(b.Bot,b.Prev.Bot)||f.IntPoint.op_Equality(b.Curr,b.Top);)b=b.Next;if(b.Dx!=f.ClipperBase.horizontal&&b.Prev.Dx!=f.ClipperBase.horizontal)break;for(;b.Prev.Dx==f.ClipperBase.horizontal;)b=b.Prev;for(d=b;b.Dx==f.ClipperBase.horizontal;)b=b.Next;if(b.Top.Y!=b.Prev.Bot.Y){d.Prev.Bot.X<b.Bot.X&&(b=d);break}}return b};f.ClipperBase.prototype.ProcessBound=function(b,d){var e,q=b,n;if(q.OutIdx==f.ClipperBase.Skip){b=q;if(d){for(;b.Top.Y==b.Next.Bot.Y;)b= +b.Next;for(;b!=q&&b.Dx==f.ClipperBase.horizontal;)b=b.Prev}else{for(;b.Top.Y==b.Prev.Bot.Y;)b=b.Prev;for(;b!=q&&b.Dx==f.ClipperBase.horizontal;)b=b.Next}b==q?q=d?b.Next:b.Prev:(b=d?q.Next:q.Prev,e=new f.LocalMinima,e.Next=null,e.Y=b.Bot.Y,e.LeftBound=null,e.RightBound=b,b.WindDelta=0,q=this.ProcessBound(b,d),this.InsertLocalMinima(e));return q}b.Dx==f.ClipperBase.horizontal&&(e=d?b.Prev:b.Next,e.OutIdx!=f.ClipperBase.Skip&&(e.Dx==f.ClipperBase.horizontal?e.Bot.X!=b.Bot.X&&e.Top.X!=b.Bot.X&&this.ReverseHorizontal(b): +e.Bot.X!=b.Bot.X&&this.ReverseHorizontal(b)));e=b;if(d){for(;q.Top.Y==q.Next.Bot.Y&&q.Next.OutIdx!=f.ClipperBase.Skip;)q=q.Next;if(q.Dx==f.ClipperBase.horizontal&&q.Next.OutIdx!=f.ClipperBase.Skip){for(n=q;n.Prev.Dx==f.ClipperBase.horizontal;)n=n.Prev;n.Prev.Top.X==q.Next.Top.X?d||(q=n.Prev):n.Prev.Top.X>q.Next.Top.X&&(q=n.Prev)}for(;b!=q;)b.NextInLML=b.Next,b.Dx==f.ClipperBase.horizontal&&b!=e&&b.Bot.X!=b.Prev.Top.X&&this.ReverseHorizontal(b),b=b.Next;b.Dx==f.ClipperBase.horizontal&&b!=e&&b.Bot.X!= +b.Prev.Top.X&&this.ReverseHorizontal(b);q=q.Next}else{for(;q.Top.Y==q.Prev.Bot.Y&&q.Prev.OutIdx!=f.ClipperBase.Skip;)q=q.Prev;if(q.Dx==f.ClipperBase.horizontal&&q.Prev.OutIdx!=f.ClipperBase.Skip){for(n=q;n.Next.Dx==f.ClipperBase.horizontal;)n=n.Next;n.Next.Top.X==q.Prev.Top.X?d||(q=n.Next):n.Next.Top.X>q.Prev.Top.X&&(q=n.Next)}for(;b!=q;)b.NextInLML=b.Prev,b.Dx==f.ClipperBase.horizontal&&b!=e&&b.Bot.X!=b.Next.Top.X&&this.ReverseHorizontal(b),b=b.Prev;b.Dx==f.ClipperBase.horizontal&&b!=e&&b.Bot.X!= +b.Next.Top.X&&this.ReverseHorizontal(b);q=q.Prev}return q};f.ClipperBase.prototype.AddPath=function(b,d,e){f.use_lines?e||d!=f.PolyType.ptClip||f.Error("AddPath: Open paths must be subject."):e||f.Error("AddPath: Open paths have been disabled.");var q=b.length-1;if(e)for(;0<q&&f.IntPoint.op_Equality(b[q],b[0]);)--q;for(;0<q&&f.IntPoint.op_Equality(b[q],b[q-1]);)--q;if(e&&2>q||!e&&1>q)return!1;for(var n=[],k=0;k<=q;k++)n.push(new f.TEdge);var v=!0;n[1].Curr.X=b[1].X;n[1].Curr.Y=b[1].Y;f.use_xyz&&(n[1].Curr.Z= +b[1].Z);var C={Value:this.m_UseFullRange};this.RangeTest(b[0],C);this.m_UseFullRange=C.Value;C.Value=this.m_UseFullRange;this.RangeTest(b[q],C);this.m_UseFullRange=C.Value;this.InitEdge(n[0],n[1],n[q],b[0]);this.InitEdge(n[q],n[0],n[q-1],b[q]);for(k=q-1;1<=k;--k)C.Value=this.m_UseFullRange,this.RangeTest(b[k],C),this.m_UseFullRange=C.Value,this.InitEdge(n[k],n[k+1],n[k-1],b[k]);for(k=b=q=n[0];;)if(b.Curr!=b.Next.Curr||!e&&b.Next==q){if(b.Prev==b.Next)break;else if(e&&f.ClipperBase.SlopesEqual(b.Prev.Curr, +b.Curr,b.Next.Curr,this.m_UseFullRange)&&(!this.PreserveCollinear||!this.Pt2IsBetweenPt1AndPt3(b.Prev.Curr,b.Curr,b.Next.Curr))){b==q&&(q=b.Next);b=this.RemoveEdge(b);k=b=b.Prev;continue}b=b.Next;if(b==k||!e&&b.Next==q)break}else{if(b==b.Next)break;b==q&&(q=b.Next);k=b=this.RemoveEdge(b)}if(!e&&b==b.Next||e&&b.Prev==b.Next)return!1;e||(this.m_HasOpenPaths=!0,q.Prev.OutIdx=f.ClipperBase.Skip);b=q;do this.InitEdge2(b,d),b=b.Next,v&&b.Curr.Y!=q.Curr.Y&&(v=!1);while(b!=q);if(v){if(e)return!1;b.Prev.OutIdx= +f.ClipperBase.Skip;b.Prev.Bot.X<b.Prev.Top.X&&this.ReverseHorizontal(b.Prev);d=new f.LocalMinima;d.Next=null;d.Y=b.Bot.Y;d.LeftBound=null;d.RightBound=b;d.RightBound.Side=f.EdgeSide.esRight;for(d.RightBound.WindDelta=0;b.Next.OutIdx!=f.ClipperBase.Skip;)b.NextInLML=b.Next,b.Bot.X!=b.Prev.Top.X&&this.ReverseHorizontal(b),b=b.Next;this.InsertLocalMinima(d);this.m_edges.push(n);return!0}this.m_edges.push(n);v=null;for(f.IntPoint.op_Equality(b.Prev.Bot,b.Prev.Top)&&(b=b.Next);;){b=this.FindNextLocMin(b); +if(b==v)break;else null==v&&(v=b);d=new f.LocalMinima;d.Next=null;d.Y=b.Bot.Y;b.Dx<b.Prev.Dx?(d.LeftBound=b.Prev,d.RightBound=b,n=!1):(d.LeftBound=b,d.RightBound=b.Prev,n=!0);d.LeftBound.Side=f.EdgeSide.esLeft;d.RightBound.Side=f.EdgeSide.esRight;d.LeftBound.WindDelta=e?d.LeftBound.Next==d.RightBound?-1:1:0;d.RightBound.WindDelta=-d.LeftBound.WindDelta;b=this.ProcessBound(d.LeftBound,n);b.OutIdx==f.ClipperBase.Skip&&(b=this.ProcessBound(b,n));q=this.ProcessBound(d.RightBound,!n);q.OutIdx==f.ClipperBase.Skip&& +(q=this.ProcessBound(q,!n));d.LeftBound.OutIdx==f.ClipperBase.Skip?d.LeftBound=null:d.RightBound.OutIdx==f.ClipperBase.Skip&&(d.RightBound=null);this.InsertLocalMinima(d);n||(b=q)}return!0};f.ClipperBase.prototype.AddPaths=function(b,d,e){for(var f=!1,n=0,k=b.length;n<k;++n)this.AddPath(b[n],d,e)&&(f=!0);return f};f.ClipperBase.prototype.Pt2IsBetweenPt1AndPt3=function(b,d,e){return f.IntPoint.op_Equality(b,e)||f.IntPoint.op_Equality(b,d)||f.IntPoint.op_Equality(e,d)?!1:b.X!=e.X?d.X>b.X==d.X<e.X:d.Y> +b.Y==d.Y<e.Y};f.ClipperBase.prototype.RemoveEdge=function(b){b.Prev.Next=b.Next;b.Next.Prev=b.Prev;var d=b.Next;b.Prev=null;return d};f.ClipperBase.prototype.SetDx=function(b){b.Delta.X=b.Top.X-b.Bot.X;b.Delta.Y=b.Top.Y-b.Bot.Y;b.Dx=0===b.Delta.Y?f.ClipperBase.horizontal:b.Delta.X/b.Delta.Y};f.ClipperBase.prototype.InsertLocalMinima=function(b){if(null===this.m_MinimaList)this.m_MinimaList=b;else if(b.Y>=this.m_MinimaList.Y)b.Next=this.m_MinimaList,this.m_MinimaList=b;else{for(var d=this.m_MinimaList;null!== +d.Next&&b.Y<d.Next.Y;)d=d.Next;b.Next=d.Next;d.Next=b}};f.ClipperBase.prototype.PopLocalMinima=function(){null!==this.m_CurrentLM&&(this.m_CurrentLM=this.m_CurrentLM.Next)};f.ClipperBase.prototype.ReverseHorizontal=function(b){var d=b.Top.X;b.Top.X=b.Bot.X;b.Bot.X=d;f.use_xyz&&(d=b.Top.Z,b.Top.Z=b.Bot.Z,b.Bot.Z=d)};f.ClipperBase.prototype.Reset=function(){this.m_CurrentLM=this.m_MinimaList;if(null!=this.m_CurrentLM)for(var b=this.m_MinimaList;null!=b;){var d=b.LeftBound;null!=d&&(d.Curr.X=d.Bot.X, +d.Curr.Y=d.Bot.Y,f.use_xyz&&(d.Curr.Z=d.Bot.Z),d.Side=f.EdgeSide.esLeft,d.OutIdx=f.ClipperBase.Unassigned);d=b.RightBound;null!=d&&(d.Curr.X=d.Bot.X,d.Curr.Y=d.Bot.Y,f.use_xyz&&(d.Curr.Z=d.Bot.Z),d.Side=f.EdgeSide.esRight,d.OutIdx=f.ClipperBase.Unassigned);b=b.Next}};f.Clipper=function(b){"undefined"==typeof b&&(b=0);this.m_PolyOuts=null;this.m_ClipType=f.ClipType.ctIntersection;this.m_IntersectNodeComparer=this.m_IntersectList=this.m_SortedEdges=this.m_ActiveEdges=this.m_Scanbeam=null;this.m_ExecuteLocked= +!1;this.m_SubjFillType=this.m_ClipFillType=f.PolyFillType.pftEvenOdd;this.m_GhostJoins=this.m_Joins=null;this.StrictlySimple=this.ReverseSolution=this.m_UsingPolyTree=!1;f.ClipperBase.call(this);this.m_SortedEdges=this.m_ActiveEdges=this.m_Scanbeam=null;this.m_IntersectList=[];this.m_IntersectNodeComparer=f.MyIntersectNodeSort.Compare;this.m_UsingPolyTree=this.m_ExecuteLocked=!1;this.m_PolyOuts=[];this.m_Joins=[];this.m_GhostJoins=[];this.ReverseSolution=0!==(1&b);this.StrictlySimple=0!==(2&b);this.PreserveCollinear= +0!==(4&b);f.use_xyz&&(this.ZFillFunction=null)};f.Clipper.ioReverseSolution=1;f.Clipper.ioStrictlySimple=2;f.Clipper.ioPreserveCollinear=4;f.Clipper.prototype.Clear=function(){0!==this.m_edges.length&&(this.DisposeAllPolyPts(),f.ClipperBase.prototype.Clear.call(this))};f.Clipper.prototype.DisposeScanbeamList=function(){for(;null!==this.m_Scanbeam;){var b=this.m_Scanbeam.Next;this.m_Scanbeam=null;this.m_Scanbeam=b}};f.Clipper.prototype.Reset=function(){f.ClipperBase.prototype.Reset.call(this);this.m_SortedEdges= +this.m_ActiveEdges=this.m_Scanbeam=null;for(var b=this.m_MinimaList;null!==b;)this.InsertScanbeam(b.Y),b=b.Next};f.Clipper.prototype.InsertScanbeam=function(b){if(null===this.m_Scanbeam)this.m_Scanbeam=new f.Scanbeam,this.m_Scanbeam.Next=null,this.m_Scanbeam.Y=b;else if(b>this.m_Scanbeam.Y){var d=new f.Scanbeam;d.Y=b;d.Next=this.m_Scanbeam;this.m_Scanbeam=d}else{for(var e=this.m_Scanbeam;null!==e.Next&&b<=e.Next.Y;)e=e.Next;b!=e.Y&&(d=new f.Scanbeam,d.Y=b,d.Next=e.Next,e.Next=d)}};f.Clipper.prototype.Execute= +function(){var b=arguments,d=b.length,e=b[1]instanceof f.PolyTree;if(4!=d||e){if(4==d&&e){var d=b[0],q=b[1],e=b[2],b=b[3];if(this.m_ExecuteLocked)return!1;this.m_ExecuteLocked=!0;this.m_SubjFillType=e;this.m_ClipFillType=b;this.m_ClipType=d;this.m_UsingPolyTree=!0;try{(n=this.ExecuteInternal())&&this.BuildResult2(q)}finally{this.DisposeAllPolyPts(),this.m_ExecuteLocked=!1}return n}if(2==d&&!e||2==d&&e)return d=b[0],q=b[1],this.Execute(d,q,f.PolyFillType.pftEvenOdd,f.PolyFillType.pftEvenOdd)}else{d= +b[0];q=b[1];e=b[2];b=b[3];if(this.m_ExecuteLocked)return!1;this.m_HasOpenPaths&&f.Error("Error: PolyTree struct is need for open path clipping.");this.m_ExecuteLocked=!0;f.Clear(q);this.m_SubjFillType=e;this.m_ClipFillType=b;this.m_ClipType=d;this.m_UsingPolyTree=!1;try{var n=this.ExecuteInternal();n&&this.BuildResult(q)}finally{this.DisposeAllPolyPts(),this.m_ExecuteLocked=!1}return n}};f.Clipper.prototype.FixHoleLinkage=function(b){if(null!==b.FirstLeft&&(b.IsHole==b.FirstLeft.IsHole||null===b.FirstLeft.Pts)){for(var d= +b.FirstLeft;null!==d&&(d.IsHole==b.IsHole||null===d.Pts);)d=d.FirstLeft;b.FirstLeft=d}};f.Clipper.prototype.ExecuteInternal=function(){try{this.Reset();if(null===this.m_CurrentLM)return!1;var b=this.PopScanbeam();do{this.InsertLocalMinimaIntoAEL(b);f.Clear(this.m_GhostJoins);this.ProcessHorizontals(!1);if(null===this.m_Scanbeam)break;var d=this.PopScanbeam();if(!this.ProcessIntersections(d))return!1;this.ProcessEdgesAtTopOfScanbeam(d);b=d}while(null!==this.m_Scanbeam||null!==this.m_CurrentLM);for(var b= +0,e=this.m_PolyOuts.length;b<e;b++){var q=this.m_PolyOuts[b];null===q.Pts||q.IsOpen||(q.IsHole^this.ReverseSolution)==0<this.Area(q)&&this.ReversePolyPtLinks(q.Pts)}this.JoinCommonEdges();b=0;for(e=this.m_PolyOuts.length;b<e;b++)q=this.m_PolyOuts[b],null===q.Pts||q.IsOpen||this.FixupOutPolygon(q);this.StrictlySimple&&this.DoSimplePolygons();return!0}finally{f.Clear(this.m_Joins),f.Clear(this.m_GhostJoins)}};f.Clipper.prototype.PopScanbeam=function(){var b=this.m_Scanbeam.Y;this.m_Scanbeam=this.m_Scanbeam.Next; +return b};f.Clipper.prototype.DisposeAllPolyPts=function(){for(var b=0,d=this.m_PolyOuts.length;b<d;++b)this.DisposeOutRec(b);f.Clear(this.m_PolyOuts)};f.Clipper.prototype.DisposeOutRec=function(b){this.m_PolyOuts[b].Pts=null;this.m_PolyOuts[b]=null};f.Clipper.prototype.AddJoin=function(b,d,e){var q=new f.Join;q.OutPt1=b;q.OutPt2=d;q.OffPt.X=e.X;q.OffPt.Y=e.Y;f.use_xyz&&(q.OffPt.Z=e.Z);this.m_Joins.push(q)};f.Clipper.prototype.AddGhostJoin=function(b,d){var e=new f.Join;e.OutPt1=b;e.OffPt.X=d.X;e.OffPt.Y= +d.Y;f.use_xyz&&(e.OffPt.Z=d.Z);this.m_GhostJoins.push(e)};f.Clipper.prototype.SetZ=function(b,d,e){null!==this.ZFillFunction&&0==b.Z&&null!==this.ZFillFunction&&(f.IntPoint.op_Equality(b,d.Bot)?b.Z=d.Bot.Z:f.IntPoint.op_Equality(b,d.Top)?b.Z=d.Top.Z:f.IntPoint.op_Equality(b,e.Bot)?b.Z=e.Bot.Z:f.IntPoint.op_Equality(b,e.Top)?b.Z=e.Top.Z:this.ZFillFunction(d.Bot,d.Top,e.Bot,e.Top,b))};f.Clipper.prototype.InsertLocalMinimaIntoAEL=function(b){for(;null!==this.m_CurrentLM&&this.m_CurrentLM.Y==b;){var d= +this.m_CurrentLM.LeftBound,e=this.m_CurrentLM.RightBound;this.PopLocalMinima();var q=null;null===d?(this.InsertEdgeIntoAEL(e,null),this.SetWindingCount(e),this.IsContributing(e)&&(q=this.AddOutPt(e,e.Bot))):(null==e?(this.InsertEdgeIntoAEL(d,null),this.SetWindingCount(d),this.IsContributing(d)&&(q=this.AddOutPt(d,d.Bot))):(this.InsertEdgeIntoAEL(d,null),this.InsertEdgeIntoAEL(e,d),this.SetWindingCount(d),e.WindCnt=d.WindCnt,e.WindCnt2=d.WindCnt2,this.IsContributing(d)&&(q=this.AddLocalMinPoly(d,e, +d.Bot))),this.InsertScanbeam(d.Top.Y));null!=e&&(f.ClipperBase.IsHorizontal(e)?this.AddEdgeToSEL(e):this.InsertScanbeam(e.Top.Y));if(null!=d&&null!=e){if(null!==q&&f.ClipperBase.IsHorizontal(e)&&0<this.m_GhostJoins.length&&0!==e.WindDelta)for(var n=0,k=this.m_GhostJoins.length;n<k;n++){var v=this.m_GhostJoins[n];this.HorzSegmentsOverlap(v.OutPt1.Pt.X,v.OffPt.X,e.Bot.X,e.Top.X)&&this.AddJoin(v.OutPt1,q,v.OffPt)}0<=d.OutIdx&&null!==d.PrevInAEL&&d.PrevInAEL.Curr.X==d.Bot.X&&0<=d.PrevInAEL.OutIdx&&f.ClipperBase.SlopesEqual(d.PrevInAEL, +d,this.m_UseFullRange)&&0!==d.WindDelta&&0!==d.PrevInAEL.WindDelta&&(n=this.AddOutPt(d.PrevInAEL,d.Bot),this.AddJoin(q,n,d.Top));if(d.NextInAEL!=e&&(0<=e.OutIdx&&0<=e.PrevInAEL.OutIdx&&f.ClipperBase.SlopesEqual(e.PrevInAEL,e,this.m_UseFullRange)&&0!==e.WindDelta&&0!==e.PrevInAEL.WindDelta&&(n=this.AddOutPt(e.PrevInAEL,e.Bot),this.AddJoin(q,n,e.Top)),q=d.NextInAEL,null!==q))for(;q!=e;)this.IntersectEdges(e,q,d.Curr,!1),q=q.NextInAEL}}};f.Clipper.prototype.InsertEdgeIntoAEL=function(b,d){if(null=== +this.m_ActiveEdges)b.PrevInAEL=null,b.NextInAEL=null,this.m_ActiveEdges=b;else if(null===d&&this.E2InsertsBeforeE1(this.m_ActiveEdges,b))b.PrevInAEL=null,b.NextInAEL=this.m_ActiveEdges,this.m_ActiveEdges=this.m_ActiveEdges.PrevInAEL=b;else{for(null===d&&(d=this.m_ActiveEdges);null!==d.NextInAEL&&!this.E2InsertsBeforeE1(d.NextInAEL,b);)d=d.NextInAEL;b.NextInAEL=d.NextInAEL;null!==d.NextInAEL&&(d.NextInAEL.PrevInAEL=b);b.PrevInAEL=d;d.NextInAEL=b}};f.Clipper.prototype.E2InsertsBeforeE1=function(b,d){return d.Curr.X== +b.Curr.X?d.Top.Y>b.Top.Y?d.Top.X<f.Clipper.TopX(b,d.Top.Y):b.Top.X>f.Clipper.TopX(d,b.Top.Y):d.Curr.X<b.Curr.X};f.Clipper.prototype.IsEvenOddFillType=function(b){return b.PolyTyp==f.PolyType.ptSubject?this.m_SubjFillType==f.PolyFillType.pftEvenOdd:this.m_ClipFillType==f.PolyFillType.pftEvenOdd};f.Clipper.prototype.IsEvenOddAltFillType=function(b){return b.PolyTyp==f.PolyType.ptSubject?this.m_ClipFillType==f.PolyFillType.pftEvenOdd:this.m_SubjFillType==f.PolyFillType.pftEvenOdd};f.Clipper.prototype.IsContributing= +function(b){var d,e;b.PolyTyp==f.PolyType.ptSubject?(d=this.m_SubjFillType,e=this.m_ClipFillType):(d=this.m_ClipFillType,e=this.m_SubjFillType);switch(d){case f.PolyFillType.pftEvenOdd:if(0===b.WindDelta&&1!=b.WindCnt)return!1;break;case f.PolyFillType.pftNonZero:if(1!=Math.abs(b.WindCnt))return!1;break;case f.PolyFillType.pftPositive:if(1!=b.WindCnt)return!1;break;default:if(-1!=b.WindCnt)return!1}switch(this.m_ClipType){case f.ClipType.ctIntersection:switch(e){case f.PolyFillType.pftEvenOdd:case f.PolyFillType.pftNonZero:return 0!== +b.WindCnt2;case f.PolyFillType.pftPositive:return 0<b.WindCnt2;default:return 0>b.WindCnt2}case f.ClipType.ctUnion:switch(e){case f.PolyFillType.pftEvenOdd:case f.PolyFillType.pftNonZero:return 0===b.WindCnt2;case f.PolyFillType.pftPositive:return 0>=b.WindCnt2;default:return 0<=b.WindCnt2}case f.ClipType.ctDifference:if(b.PolyTyp==f.PolyType.ptSubject)switch(e){case f.PolyFillType.pftEvenOdd:case f.PolyFillType.pftNonZero:return 0===b.WindCnt2;case f.PolyFillType.pftPositive:return 0>=b.WindCnt2; +default:return 0<=b.WindCnt2}else switch(e){case f.PolyFillType.pftEvenOdd:case f.PolyFillType.pftNonZero:return 0!==b.WindCnt2;case f.PolyFillType.pftPositive:return 0<b.WindCnt2;default:return 0>b.WindCnt2}case f.ClipType.ctXor:if(0===b.WindDelta)switch(e){case f.PolyFillType.pftEvenOdd:case f.PolyFillType.pftNonZero:return 0===b.WindCnt2;case f.PolyFillType.pftPositive:return 0>=b.WindCnt2;default:return 0<=b.WindCnt2}}return!0};f.Clipper.prototype.SetWindingCount=function(b){for(var d=b.PrevInAEL;null!== +d&&(d.PolyTyp!=b.PolyTyp||0===d.WindDelta);)d=d.PrevInAEL;if(null===d)b.WindCnt=0===b.WindDelta?1:b.WindDelta,b.WindCnt2=0,d=this.m_ActiveEdges;else{if(0===b.WindDelta&&this.m_ClipType!=f.ClipType.ctUnion)b.WindCnt=1;else if(this.IsEvenOddFillType(b))if(0===b.WindDelta){for(var e=!0,q=d.PrevInAEL;null!==q;)q.PolyTyp==d.PolyTyp&&0!==q.WindDelta&&(e=!e),q=q.PrevInAEL;b.WindCnt=e?0:1}else b.WindCnt=b.WindDelta;else b.WindCnt=0>d.WindCnt*d.WindDelta?1<Math.abs(d.WindCnt)?0>d.WindDelta*b.WindDelta?d.WindCnt: +d.WindCnt+b.WindDelta:0===b.WindDelta?1:b.WindDelta:0===b.WindDelta?0>d.WindCnt?d.WindCnt-1:d.WindCnt+1:0>d.WindDelta*b.WindDelta?d.WindCnt:d.WindCnt+b.WindDelta;b.WindCnt2=d.WindCnt2;d=d.NextInAEL}if(this.IsEvenOddAltFillType(b))for(;d!=b;)0!==d.WindDelta&&(b.WindCnt2=0===b.WindCnt2?1:0),d=d.NextInAEL;else for(;d!=b;)b.WindCnt2+=d.WindDelta,d=d.NextInAEL};f.Clipper.prototype.AddEdgeToSEL=function(b){null===this.m_SortedEdges?(this.m_SortedEdges=b,b.PrevInSEL=null,b.NextInSEL=null):(b.NextInSEL=this.m_SortedEdges, +b.PrevInSEL=null,this.m_SortedEdges=this.m_SortedEdges.PrevInSEL=b)};f.Clipper.prototype.CopyAELToSEL=function(){var b=this.m_ActiveEdges;for(this.m_SortedEdges=b;null!==b;)b.PrevInSEL=b.PrevInAEL,b=b.NextInSEL=b.NextInAEL};f.Clipper.prototype.SwapPositionsInAEL=function(b,d){if(b.NextInAEL!=b.PrevInAEL&&d.NextInAEL!=d.PrevInAEL){if(b.NextInAEL==d){var e=d.NextInAEL;null!==e&&(e.PrevInAEL=b);var f=b.PrevInAEL;null!==f&&(f.NextInAEL=d);d.PrevInAEL=f;d.NextInAEL=b;b.PrevInAEL=d;b.NextInAEL=e}else d.NextInAEL== +b?(e=b.NextInAEL,null!==e&&(e.PrevInAEL=d),f=d.PrevInAEL,null!==f&&(f.NextInAEL=b),b.PrevInAEL=f,b.NextInAEL=d,d.PrevInAEL=b,d.NextInAEL=e):(e=b.NextInAEL,f=b.PrevInAEL,b.NextInAEL=d.NextInAEL,null!==b.NextInAEL&&(b.NextInAEL.PrevInAEL=b),b.PrevInAEL=d.PrevInAEL,null!==b.PrevInAEL&&(b.PrevInAEL.NextInAEL=b),d.NextInAEL=e,null!==d.NextInAEL&&(d.NextInAEL.PrevInAEL=d),d.PrevInAEL=f,null!==d.PrevInAEL&&(d.PrevInAEL.NextInAEL=d));null===b.PrevInAEL?this.m_ActiveEdges=b:null===d.PrevInAEL&&(this.m_ActiveEdges= +d)}};f.Clipper.prototype.SwapPositionsInSEL=function(b,d){if(null!==b.NextInSEL||null!==b.PrevInSEL)if(null!==d.NextInSEL||null!==d.PrevInSEL){if(b.NextInSEL==d){var e=d.NextInSEL;null!==e&&(e.PrevInSEL=b);var f=b.PrevInSEL;null!==f&&(f.NextInSEL=d);d.PrevInSEL=f;d.NextInSEL=b;b.PrevInSEL=d;b.NextInSEL=e}else d.NextInSEL==b?(e=b.NextInSEL,null!==e&&(e.PrevInSEL=d),f=d.PrevInSEL,null!==f&&(f.NextInSEL=b),b.PrevInSEL=f,b.NextInSEL=d,d.PrevInSEL=b,d.NextInSEL=e):(e=b.NextInSEL,f=b.PrevInSEL,b.NextInSEL= +d.NextInSEL,null!==b.NextInSEL&&(b.NextInSEL.PrevInSEL=b),b.PrevInSEL=d.PrevInSEL,null!==b.PrevInSEL&&(b.PrevInSEL.NextInSEL=b),d.NextInSEL=e,null!==d.NextInSEL&&(d.NextInSEL.PrevInSEL=d),d.PrevInSEL=f,null!==d.PrevInSEL&&(d.PrevInSEL.NextInSEL=d));null===b.PrevInSEL?this.m_SortedEdges=b:null===d.PrevInSEL&&(this.m_SortedEdges=d)}};f.Clipper.prototype.AddLocalMaxPoly=function(b,d,e){this.AddOutPt(b,e);0==d.WindDelta&&this.AddOutPt(d,e);b.OutIdx==d.OutIdx?(b.OutIdx=-1,d.OutIdx=-1):b.OutIdx<d.OutIdx? +this.AppendPolygon(b,d):this.AppendPolygon(d,b)};f.Clipper.prototype.AddLocalMinPoly=function(b,d,e){var q,n;f.ClipperBase.IsHorizontal(d)||b.Dx>d.Dx?(q=this.AddOutPt(b,e),d.OutIdx=b.OutIdx,b.Side=f.EdgeSide.esLeft,d.Side=f.EdgeSide.esRight,n=b,b=n.PrevInAEL==d?d.PrevInAEL:n.PrevInAEL):(q=this.AddOutPt(d,e),b.OutIdx=d.OutIdx,b.Side=f.EdgeSide.esRight,d.Side=f.EdgeSide.esLeft,n=d,b=n.PrevInAEL==b?b.PrevInAEL:n.PrevInAEL);null!==b&&0<=b.OutIdx&&f.Clipper.TopX(b,e.Y)==f.Clipper.TopX(n,e.Y)&&f.ClipperBase.SlopesEqual(n, +b,this.m_UseFullRange)&&0!==n.WindDelta&&0!==b.WindDelta&&(e=this.AddOutPt(b,e),this.AddJoin(q,e,n.Top));return q};f.Clipper.prototype.CreateOutRec=function(){var b=new f.OutRec;b.Idx=-1;b.IsHole=!1;b.IsOpen=!1;b.FirstLeft=null;b.Pts=null;b.BottomPt=null;b.PolyNode=null;this.m_PolyOuts.push(b);b.Idx=this.m_PolyOuts.length-1;return b};f.Clipper.prototype.AddOutPt=function(b,d){var e=b.Side==f.EdgeSide.esLeft;if(0>b.OutIdx){var q=this.CreateOutRec();q.IsOpen=0===b.WindDelta;var n=new f.OutPt;q.Pts= +n;n.Idx=q.Idx;n.Pt.X=d.X;n.Pt.Y=d.Y;f.use_xyz&&(n.Pt.Z=d.Z);n.Next=n;n.Prev=n;q.IsOpen||this.SetHoleState(b,q);b.OutIdx=q.Idx}else{var q=this.m_PolyOuts[b.OutIdx],k=q.Pts;if(e&&f.IntPoint.op_Equality(d,k.Pt))return k;if(!e&&f.IntPoint.op_Equality(d,k.Prev.Pt))return k.Prev;n=new f.OutPt;n.Idx=q.Idx;n.Pt.X=d.X;n.Pt.Y=d.Y;f.use_xyz&&(n.Pt.Z=d.Z);n.Next=k;n.Prev=k.Prev;n.Prev.Next=n;k.Prev=n;e&&(q.Pts=n)}return n};f.Clipper.prototype.SwapPoints=function(b,d){var e=new f.IntPoint(b.Value);b.Value.X=d.Value.X; +b.Value.Y=d.Value.Y;f.use_xyz&&(b.Value.Z=d.Value.Z);d.Value.X=e.X;d.Value.Y=e.Y;f.use_xyz&&(d.Value.Z=e.Z)};f.Clipper.prototype.HorzSegmentsOverlap=function(b,d,e,f){var n;b>d&&(n=b,b=d,d=n);e>f&&(n=e,e=f,f=n);return b<f&&e<d};f.Clipper.prototype.SetHoleState=function(b,d){for(var e=!1,f=b.PrevInAEL;null!==f;)0<=f.OutIdx&&0!=f.WindDelta&&(e=!e,null===d.FirstLeft&&(d.FirstLeft=this.m_PolyOuts[f.OutIdx])),f=f.PrevInAEL;e&&(d.IsHole=!0)};f.Clipper.prototype.GetDx=function(b,d){return b.Y==d.Y?f.ClipperBase.horizontal: +(d.X-b.X)/(d.Y-b.Y)};f.Clipper.prototype.FirstIsBottomPt=function(b,d){for(var e=b.Prev;f.IntPoint.op_Equality(e.Pt,b.Pt)&&e!=b;)e=e.Prev;for(var q=Math.abs(this.GetDx(b.Pt,e.Pt)),e=b.Next;f.IntPoint.op_Equality(e.Pt,b.Pt)&&e!=b;)e=e.Next;for(var n=Math.abs(this.GetDx(b.Pt,e.Pt)),e=d.Prev;f.IntPoint.op_Equality(e.Pt,d.Pt)&&e!=d;)e=e.Prev;for(var k=Math.abs(this.GetDx(d.Pt,e.Pt)),e=d.Next;f.IntPoint.op_Equality(e.Pt,d.Pt)&&e!=d;)e=e.Next;e=Math.abs(this.GetDx(d.Pt,e.Pt));return q>=k&&q>=e||n>=k&&n>= +e};f.Clipper.prototype.GetBottomPt=function(b){for(var d=null,e=b.Next;e!=b;)e.Pt.Y>b.Pt.Y?(b=e,d=null):e.Pt.Y==b.Pt.Y&&e.Pt.X<=b.Pt.X&&(e.Pt.X<b.Pt.X?(d=null,b=e):e.Next!=b&&e.Prev!=b&&(d=e)),e=e.Next;if(null!==d)for(;d!=e;)for(this.FirstIsBottomPt(e,d)||(b=d),d=d.Next;f.IntPoint.op_Inequality(d.Pt,b.Pt);)d=d.Next;return b};f.Clipper.prototype.GetLowermostRec=function(b,d){null===b.BottomPt&&(b.BottomPt=this.GetBottomPt(b.Pts));null===d.BottomPt&&(d.BottomPt=this.GetBottomPt(d.Pts));var e=b.BottomPt, +f=d.BottomPt;return e.Pt.Y>f.Pt.Y?b:e.Pt.Y<f.Pt.Y?d:e.Pt.X<f.Pt.X?b:e.Pt.X>f.Pt.X?d:e.Next==e?d:f.Next==f?b:this.FirstIsBottomPt(e,f)?b:d};f.Clipper.prototype.Param1RightOfParam2=function(b,d){do if(b=b.FirstLeft,b==d)return!0;while(null!==b);return!1};f.Clipper.prototype.GetOutRec=function(b){for(b=this.m_PolyOuts[b];b!=this.m_PolyOuts[b.Idx];)b=this.m_PolyOuts[b.Idx];return b};f.Clipper.prototype.AppendPolygon=function(b,d){var e=this.m_PolyOuts[b.OutIdx],q=this.m_PolyOuts[d.OutIdx],n;n=this.Param1RightOfParam2(e, +q)?q:this.Param1RightOfParam2(q,e)?e:this.GetLowermostRec(e,q);var k=e.Pts,v=k.Prev,C=q.Pts,p=C.Prev;b.Side==f.EdgeSide.esLeft?(d.Side==f.EdgeSide.esLeft?(this.ReversePolyPtLinks(C),C.Next=k,k.Prev=C,v.Next=p,p.Prev=v,e.Pts=p):(p.Next=k,k.Prev=p,C.Prev=v,v.Next=C,e.Pts=C),k=f.EdgeSide.esLeft):(d.Side==f.EdgeSide.esRight?(this.ReversePolyPtLinks(C),v.Next=p,p.Prev=v,C.Next=k,k.Prev=C):(v.Next=C,C.Prev=v,k.Prev=p,p.Next=k),k=f.EdgeSide.esRight);e.BottomPt=null;n==q&&(q.FirstLeft!=e&&(e.FirstLeft=q.FirstLeft), +e.IsHole=q.IsHole);q.Pts=null;q.BottomPt=null;q.FirstLeft=e;n=b.OutIdx;v=d.OutIdx;b.OutIdx=-1;d.OutIdx=-1;for(C=this.m_ActiveEdges;null!==C;){if(C.OutIdx==v){C.OutIdx=n;C.Side=k;break}C=C.NextInAEL}q.Idx=e.Idx};f.Clipper.prototype.ReversePolyPtLinks=function(b){if(null!==b){var d,e;d=b;do e=d.Next,d.Next=d.Prev,d=d.Prev=e;while(d!=b)}};f.Clipper.SwapSides=function(b,d){var e=b.Side;b.Side=d.Side;d.Side=e};f.Clipper.SwapPolyIndexes=function(b,d){var e=b.OutIdx;b.OutIdx=d.OutIdx;d.OutIdx=e};f.Clipper.prototype.IntersectEdges= +function(b,d,e){var q=0<=b.OutIdx,n=0<=d.OutIdx;f.use_xyz&&this.SetZ(e,b,d);if(!f.use_lines||0!==b.WindDelta&&0!==d.WindDelta){if(b.PolyTyp==d.PolyTyp)if(this.IsEvenOddFillType(b)){var k=b.WindCnt;b.WindCnt=d.WindCnt;d.WindCnt=k}else b.WindCnt=0===b.WindCnt+d.WindDelta?-b.WindCnt:b.WindCnt+d.WindDelta,d.WindCnt=0===d.WindCnt-b.WindDelta?-d.WindCnt:d.WindCnt-b.WindDelta;else this.IsEvenOddFillType(d)?b.WindCnt2=0===b.WindCnt2?1:0:b.WindCnt2+=d.WindDelta,this.IsEvenOddFillType(b)?d.WindCnt2=0===d.WindCnt2? +1:0:d.WindCnt2-=b.WindDelta;var v,C,p;b.PolyTyp==f.PolyType.ptSubject?(v=this.m_SubjFillType,p=this.m_ClipFillType):(v=this.m_ClipFillType,p=this.m_SubjFillType);d.PolyTyp==f.PolyType.ptSubject?(C=this.m_SubjFillType,k=this.m_ClipFillType):(C=this.m_ClipFillType,k=this.m_SubjFillType);switch(v){case f.PolyFillType.pftPositive:v=b.WindCnt;break;case f.PolyFillType.pftNegative:v=-b.WindCnt;break;default:v=Math.abs(b.WindCnt)}switch(C){case f.PolyFillType.pftPositive:C=d.WindCnt;break;case f.PolyFillType.pftNegative:C= +-d.WindCnt;break;default:C=Math.abs(d.WindCnt)}if(q&&n)0!=v&&1!=v||0!=C&&1!=C||b.PolyTyp!=d.PolyTyp&&this.m_ClipType!=f.ClipType.ctXor?this.AddLocalMaxPoly(b,d,e):(this.AddOutPt(b,e),this.AddOutPt(d,e),f.Clipper.SwapSides(b,d),f.Clipper.SwapPolyIndexes(b,d));else if(q){if(0===C||1==C)this.AddOutPt(b,e),f.Clipper.SwapSides(b,d),f.Clipper.SwapPolyIndexes(b,d)}else if(n){if(0===v||1==v)this.AddOutPt(d,e),f.Clipper.SwapSides(b,d),f.Clipper.SwapPolyIndexes(b,d)}else if(!(0!=v&&1!=v||0!=C&&1!=C)){switch(p){case f.PolyFillType.pftPositive:q= +b.WindCnt2;break;case f.PolyFillType.pftNegative:q=-b.WindCnt2;break;default:q=Math.abs(b.WindCnt2)}switch(k){case f.PolyFillType.pftPositive:n=d.WindCnt2;break;case f.PolyFillType.pftNegative:n=-d.WindCnt2;break;default:n=Math.abs(d.WindCnt2)}if(b.PolyTyp!=d.PolyTyp)this.AddLocalMinPoly(b,d,e);else if(1==v&&1==C)switch(this.m_ClipType){case f.ClipType.ctIntersection:0<q&&0<n&&this.AddLocalMinPoly(b,d,e);break;case f.ClipType.ctUnion:0>=q&&0>=n&&this.AddLocalMinPoly(b,d,e);break;case f.ClipType.ctDifference:(b.PolyTyp== +f.PolyType.ptClip&&0<q&&0<n||b.PolyTyp==f.PolyType.ptSubject&&0>=q&&0>=n)&&this.AddLocalMinPoly(b,d,e);break;case f.ClipType.ctXor:this.AddLocalMinPoly(b,d,e)}else f.Clipper.SwapSides(b,d)}}else if(0!=b.WindDelta||0!=d.WindDelta)b.PolyTyp==d.PolyTyp&&b.WindDelta!=d.WindDelta&&this.m_ClipType==f.ClipType.ctUnion?0===b.WindDelta?n&&(this.AddOutPt(b,e),q&&(b.OutIdx=-1)):q&&(this.AddOutPt(d,e),n&&(d.OutIdx=-1)):b.PolyTyp!=d.PolyTyp&&(0!==b.WindDelta||1!=Math.abs(d.WindCnt)||this.m_ClipType==f.ClipType.ctUnion&& +0!==d.WindCnt2?0!==d.WindDelta||1!=Math.abs(b.WindCnt)||this.m_ClipType==f.ClipType.ctUnion&&0!==b.WindCnt2||(this.AddOutPt(d,e),n&&(d.OutIdx=-1)):(this.AddOutPt(b,e),q&&(b.OutIdx=-1)))};f.Clipper.prototype.DeleteFromAEL=function(b){var d=b.PrevInAEL,e=b.NextInAEL;if(null!==d||null!==e||b==this.m_ActiveEdges)null!==d?d.NextInAEL=e:this.m_ActiveEdges=e,null!==e&&(e.PrevInAEL=d),b.NextInAEL=null,b.PrevInAEL=null};f.Clipper.prototype.DeleteFromSEL=function(b){var d=b.PrevInSEL,e=b.NextInSEL;if(null!== +d||null!==e||b==this.m_SortedEdges)null!==d?d.NextInSEL=e:this.m_SortedEdges=e,null!==e&&(e.PrevInSEL=d),b.NextInSEL=null,b.PrevInSEL=null};f.Clipper.prototype.UpdateEdgeIntoAEL=function(b){null===b.NextInLML&&f.Error("UpdateEdgeIntoAEL: invalid call");var d=b.PrevInAEL,e=b.NextInAEL;b.NextInLML.OutIdx=b.OutIdx;null!==d?d.NextInAEL=b.NextInLML:this.m_ActiveEdges=b.NextInLML;null!==e&&(e.PrevInAEL=b.NextInLML);b.NextInLML.Side=b.Side;b.NextInLML.WindDelta=b.WindDelta;b.NextInLML.WindCnt=b.WindCnt; +b.NextInLML.WindCnt2=b.WindCnt2;b=b.NextInLML;b.Curr.X=b.Bot.X;b.Curr.Y=b.Bot.Y;f.use_xyz&&(b.Curr.Z=b.Bot.Z);b.PrevInAEL=d;b.NextInAEL=e;f.ClipperBase.IsHorizontal(b)||this.InsertScanbeam(b.Top.Y);return b};f.Clipper.prototype.ProcessHorizontals=function(b){for(var d=this.m_SortedEdges;null!==d;)this.DeleteFromSEL(d),this.ProcessHorizontal(d,b),d=this.m_SortedEdges};f.Clipper.prototype.GetHorzDirection=function(b,d){b.Bot.X<b.Top.X?(d.Left=b.Bot.X,d.Right=b.Top.X,d.Dir=f.Direction.dLeftToRight): +(d.Left=b.Top.X,d.Right=b.Bot.X,d.Dir=f.Direction.dRightToLeft)};f.Clipper.prototype.ProcessHorizontal=function(b,d){var e={Dir:null,Left:null,Right:null};this.GetHorzDirection(b,e);for(var q=e.Dir,n=e.Left,k=e.Right,v=b,C=null;null!==v.NextInLML&&f.ClipperBase.IsHorizontal(v.NextInLML);)v=v.NextInLML;for(null===v.NextInLML&&(C=this.GetMaximaPair(v));;){for(var p=b==v,F=this.GetNextInAEL(b,q);null!==F&&!(F.Curr.X==b.Top.X&&null!==b.NextInLML&&F.Dx<b.NextInLML.Dx);){e=this.GetNextInAEL(F,q);if(q== +f.Direction.dLeftToRight&&F.Curr.X<=k||q==f.Direction.dRightToLeft&&F.Curr.X>=n){if(F==C&&p){if(0<=b.OutIdx){q=this.AddOutPt(b,b.Top);for(e=this.m_SortedEdges;null!==e;)0<=e.OutIdx&&this.HorzSegmentsOverlap(b.Bot.X,b.Top.X,e.Bot.X,e.Top.X)&&(n=this.AddOutPt(e,e.Bot),this.AddJoin(n,q,e.Top)),e=e.NextInSEL;this.AddGhostJoin(q,b.Bot);this.AddLocalMaxPoly(b,C,b.Top)}this.DeleteFromAEL(b);this.DeleteFromAEL(C);return}if(q==f.Direction.dLeftToRight){var E=new f.IntPoint(F.Curr.X,b.Curr.Y);this.IntersectEdges(b, +F,E)}else E=new f.IntPoint(F.Curr.X,b.Curr.Y),this.IntersectEdges(F,b,E);this.SwapPositionsInAEL(b,F)}else if(q==f.Direction.dLeftToRight&&F.Curr.X>=k||q==f.Direction.dRightToLeft&&F.Curr.X<=n)break;F=e}if(null!==b.NextInLML&&f.ClipperBase.IsHorizontal(b.NextInLML))b=this.UpdateEdgeIntoAEL(b),0<=b.OutIdx&&this.AddOutPt(b,b.Bot),e={Dir:q,Left:n,Right:k},this.GetHorzDirection(b,e),q=e.Dir,n=e.Left,k=e.Right;else break}null!==b.NextInLML?0<=b.OutIdx?(q=this.AddOutPt(b,b.Top),d&&this.AddGhostJoin(q,b.Bot), +b=this.UpdateEdgeIntoAEL(b),0!==b.WindDelta&&(C=b.PrevInAEL,e=b.NextInAEL,null!==C&&C.Curr.X==b.Bot.X&&C.Curr.Y==b.Bot.Y&&0!==C.WindDelta&&0<=C.OutIdx&&C.Curr.Y>C.Top.Y&&f.ClipperBase.SlopesEqual(b,C,this.m_UseFullRange)?(n=this.AddOutPt(C,b.Bot),this.AddJoin(q,n,b.Top)):null!==e&&e.Curr.X==b.Bot.X&&e.Curr.Y==b.Bot.Y&&0!==e.WindDelta&&0<=e.OutIdx&&e.Curr.Y>e.Top.Y&&f.ClipperBase.SlopesEqual(b,e,this.m_UseFullRange)&&(n=this.AddOutPt(e,b.Bot),this.AddJoin(q,n,b.Top)))):this.UpdateEdgeIntoAEL(b):(0<= +b.OutIdx&&this.AddOutPt(b,b.Top),this.DeleteFromAEL(b))};f.Clipper.prototype.GetNextInAEL=function(b,d){return d==f.Direction.dLeftToRight?b.NextInAEL:b.PrevInAEL};f.Clipper.prototype.IsMinima=function(b){return null!==b&&b.Prev.NextInLML!=b&&b.Next.NextInLML!=b};f.Clipper.prototype.IsMaxima=function(b,d){return null!==b&&b.Top.Y==d&&null===b.NextInLML};f.Clipper.prototype.IsIntermediate=function(b,d){return b.Top.Y==d&&null!==b.NextInLML};f.Clipper.prototype.GetMaximaPair=function(b){var d=null; +f.IntPoint.op_Equality(b.Next.Top,b.Top)&&null===b.Next.NextInLML?d=b.Next:f.IntPoint.op_Equality(b.Prev.Top,b.Top)&&null===b.Prev.NextInLML&&(d=b.Prev);return null===d||-2!=d.OutIdx&&(d.NextInAEL!=d.PrevInAEL||f.ClipperBase.IsHorizontal(d))?d:null};f.Clipper.prototype.ProcessIntersections=function(b){if(null==this.m_ActiveEdges)return!0;try{this.BuildIntersectList(b);if(0==this.m_IntersectList.length)return!0;if(1==this.m_IntersectList.length||this.FixupIntersectionOrder())this.ProcessIntersectList(); +else return!1}catch(d){this.m_SortedEdges=null,this.m_IntersectList.length=0,f.Error("ProcessIntersections error")}this.m_SortedEdges=null;return!0};f.Clipper.prototype.BuildIntersectList=function(b){if(null!==this.m_ActiveEdges){var d=this.m_ActiveEdges;for(this.m_SortedEdges=d;null!==d;)d.PrevInSEL=d.PrevInAEL,d.NextInSEL=d.NextInAEL,d.Curr.X=f.Clipper.TopX(d,b),d=d.NextInAEL;for(var e=!0;e&&null!==this.m_SortedEdges;){e=!1;for(d=this.m_SortedEdges;null!==d.NextInSEL;){b=d.NextInSEL;var q=new f.IntPoint; +d.Curr.X>b.Curr.X?(this.IntersectPoint(d,b,q),e=new f.IntersectNode,e.Edge1=d,e.Edge2=b,e.Pt.X=q.X,e.Pt.Y=q.Y,f.use_xyz&&(e.Pt.Z=q.Z),this.m_IntersectList.push(e),this.SwapPositionsInSEL(d,b),e=!0):d=b}if(null!==d.PrevInSEL)d.PrevInSEL.NextInSEL=null;else break}this.m_SortedEdges=null}};f.Clipper.prototype.EdgesAdjacent=function(b){return b.Edge1.NextInSEL==b.Edge2||b.Edge1.PrevInSEL==b.Edge2};f.Clipper.IntersectNodeSort=function(b,d){return d.Pt.Y-b.Pt.Y};f.Clipper.prototype.FixupIntersectionOrder= +function(){this.m_IntersectList.sort(this.m_IntersectNodeComparer);this.CopyAELToSEL();for(var b=this.m_IntersectList.length,d=0;d<b;d++){if(!this.EdgesAdjacent(this.m_IntersectList[d])){for(var e=d+1;e<b&&!this.EdgesAdjacent(this.m_IntersectList[e]);)e++;if(e==b)return!1;var f=this.m_IntersectList[d];this.m_IntersectList[d]=this.m_IntersectList[e];this.m_IntersectList[e]=f}this.SwapPositionsInSEL(this.m_IntersectList[d].Edge1,this.m_IntersectList[d].Edge2)}return!0};f.Clipper.prototype.ProcessIntersectList= +function(){for(var b=0,d=this.m_IntersectList.length;b<d;b++){var e=this.m_IntersectList[b];this.IntersectEdges(e.Edge1,e.Edge2,e.Pt);this.SwapPositionsInAEL(e.Edge1,e.Edge2)}this.m_IntersectList.length=0};I=function(b){return 0>b?Math.ceil(b-.5):Math.round(b)};Jb=function(b){return 0>b?Math.ceil(b-.5):Math.floor(b+.5)};Qa=function(b){return 0>b?-Math.round(Math.abs(b)):Math.round(b)};ab=function(b){if(0>b)return b-=.5,-2147483648>b?Math.ceil(b):b|0;b+=.5;return 2147483647<b?Math.floor(b):b|0};f.Clipper.Round= +Y?I:nb?Qa:Xb?ab:Jb;f.Clipper.TopX=function(b,d){return d==b.Top.Y?b.Top.X:b.Bot.X+f.Clipper.Round(b.Dx*(d-b.Bot.Y))};f.Clipper.prototype.IntersectPoint=function(b,d,e){e.X=0;e.Y=0;var q,n;if(b.Dx==d.Dx)e.Y=b.Curr.Y,e.X=f.Clipper.TopX(b,e.Y);else{if(0===b.Delta.X)e.X=b.Bot.X,f.ClipperBase.IsHorizontal(d)?e.Y=d.Bot.Y:(n=d.Bot.Y-d.Bot.X/d.Dx,e.Y=f.Clipper.Round(e.X/d.Dx+n));else if(0===d.Delta.X)e.X=d.Bot.X,f.ClipperBase.IsHorizontal(b)?e.Y=b.Bot.Y:(q=b.Bot.Y-b.Bot.X/b.Dx,e.Y=f.Clipper.Round(e.X/b.Dx+ +q));else{q=b.Bot.X-b.Bot.Y*b.Dx;n=d.Bot.X-d.Bot.Y*d.Dx;var k=(n-q)/(b.Dx-d.Dx);e.Y=f.Clipper.Round(k);e.X=Math.abs(b.Dx)<Math.abs(d.Dx)?f.Clipper.Round(b.Dx*k+q):f.Clipper.Round(d.Dx*k+n)}if(e.Y<b.Top.Y||e.Y<d.Top.Y){if(b.Top.Y>d.Top.Y)return e.Y=b.Top.Y,e.X=f.Clipper.TopX(d,b.Top.Y),e.X<b.Top.X;e.Y=d.Top.Y;e.X=Math.abs(b.Dx)<Math.abs(d.Dx)?f.Clipper.TopX(b,e.Y):f.Clipper.TopX(d,e.Y)}e.Y>b.Curr.Y&&(e.Y=b.Curr.Y,e.X=Math.abs(b.Dx)>Math.abs(d.Dx)?f.Clipper.TopX(d,e.Y):f.Clipper.TopX(b,e.Y))}};f.Clipper.prototype.ProcessEdgesAtTopOfScanbeam= +function(b){for(var d=this.m_ActiveEdges;null!==d;){var e=this.IsMaxima(d,b);e&&(e=this.GetMaximaPair(d),e=null===e||!f.ClipperBase.IsHorizontal(e));if(e){var q=d.PrevInAEL;this.DoMaxima(d);d=null===q?this.m_ActiveEdges:q.NextInAEL}else{this.IsIntermediate(d,b)&&f.ClipperBase.IsHorizontal(d.NextInLML)?(d=this.UpdateEdgeIntoAEL(d),0<=d.OutIdx&&this.AddOutPt(d,d.Bot),this.AddEdgeToSEL(d)):(d.Curr.X=f.Clipper.TopX(d,b),d.Curr.Y=b);if(this.StrictlySimple&&(q=d.PrevInAEL,0<=d.OutIdx&&0!==d.WindDelta&& +null!==q&&0<=q.OutIdx&&q.Curr.X==d.Curr.X&&0!==q.WindDelta)){var n=new f.IntPoint(d.Curr);f.use_xyz&&this.SetZ(n,q,d);e=this.AddOutPt(q,n);q=this.AddOutPt(d,n);this.AddJoin(e,q,n)}d=d.NextInAEL}}this.ProcessHorizontals(!0);for(d=this.m_ActiveEdges;null!==d;)this.IsIntermediate(d,b)&&(e=null,0<=d.OutIdx&&(e=this.AddOutPt(d,d.Top)),d=this.UpdateEdgeIntoAEL(d),q=d.PrevInAEL,n=d.NextInAEL,null!==q&&q.Curr.X==d.Bot.X&&q.Curr.Y==d.Bot.Y&&null!==e&&0<=q.OutIdx&&q.Curr.Y>q.Top.Y&&f.ClipperBase.SlopesEqual(d, +q,this.m_UseFullRange)&&0!==d.WindDelta&&0!==q.WindDelta?(q=this.AddOutPt(q,d.Bot),this.AddJoin(e,q,d.Top)):null!==n&&n.Curr.X==d.Bot.X&&n.Curr.Y==d.Bot.Y&&null!==e&&0<=n.OutIdx&&n.Curr.Y>n.Top.Y&&f.ClipperBase.SlopesEqual(d,n,this.m_UseFullRange)&&0!==d.WindDelta&&0!==n.WindDelta&&(q=this.AddOutPt(n,d.Bot),this.AddJoin(e,q,d.Top))),d=d.NextInAEL};f.Clipper.prototype.DoMaxima=function(b){var d=this.GetMaximaPair(b);if(null===d)0<=b.OutIdx&&this.AddOutPt(b,b.Top),this.DeleteFromAEL(b);else{for(var e= +b.NextInAEL;null!==e&&e!=d;)this.IntersectEdges(b,e,b.Top),this.SwapPositionsInAEL(b,e),e=b.NextInAEL;-1==b.OutIdx&&-1==d.OutIdx?(this.DeleteFromAEL(b),this.DeleteFromAEL(d)):0<=b.OutIdx&&0<=d.OutIdx?(0<=b.OutIdx&&this.AddLocalMaxPoly(b,d,b.Top),this.DeleteFromAEL(b),this.DeleteFromAEL(d)):f.use_lines&&0===b.WindDelta?(0<=b.OutIdx&&(this.AddOutPt(b,b.Top),b.OutIdx=-1),this.DeleteFromAEL(b),0<=d.OutIdx&&(this.AddOutPt(d,b.Top),d.OutIdx=-1),this.DeleteFromAEL(d)):f.Error("DoMaxima error")}};f.Clipper.ReversePaths= +function(b){for(var d=0,e=b.length;d<e;d++)b[d].reverse()};f.Clipper.Orientation=function(b){return 0<=f.Clipper.Area(b)};f.Clipper.prototype.PointCount=function(b){if(null===b)return 0;var d=0,e=b;do d++,e=e.Next;while(e!=b);return d};f.Clipper.prototype.BuildResult=function(b){f.Clear(b);for(var d=0,e=this.m_PolyOuts.length;d<e;d++){var q=this.m_PolyOuts[d];if(null!==q.Pts){var q=q.Pts.Prev,n=this.PointCount(q);if(!(2>n)){for(var k=Array(n),v=0;v<n;v++)k[v]=q.Pt,q=q.Prev;b.push(k)}}}};f.Clipper.prototype.BuildResult2= +function(b){b.Clear();for(var d=0,e=this.m_PolyOuts.length;d<e;d++){var q=this.m_PolyOuts[d],n=this.PointCount(q.Pts);if(!(q.IsOpen&&2>n||!q.IsOpen&&3>n)){this.FixHoleLinkage(q);var k=new f.PolyNode;b.m_AllPolys.push(k);q.PolyNode=k;k.m_polygon.length=n;for(var q=q.Pts.Prev,v=0;v<n;v++)k.m_polygon[v]=q.Pt,q=q.Prev}}d=0;for(e=this.m_PolyOuts.length;d<e;d++)q=this.m_PolyOuts[d],null!==q.PolyNode&&(q.IsOpen?(q.PolyNode.IsOpen=!0,b.AddChild(q.PolyNode)):null!==q.FirstLeft&&null!=q.FirstLeft.PolyNode? +q.FirstLeft.PolyNode.AddChild(q.PolyNode):b.AddChild(q.PolyNode))};f.Clipper.prototype.FixupOutPolygon=function(b){var d=null;b.BottomPt=null;for(var e=b.Pts;;){if(e.Prev==e||e.Prev==e.Next){b.Pts=null;return}if(f.IntPoint.op_Equality(e.Pt,e.Next.Pt)||f.IntPoint.op_Equality(e.Pt,e.Prev.Pt)||f.ClipperBase.SlopesEqual(e.Prev.Pt,e.Pt,e.Next.Pt,this.m_UseFullRange)&&(!this.PreserveCollinear||!this.Pt2IsBetweenPt1AndPt3(e.Prev.Pt,e.Pt,e.Next.Pt)))d=null,e.Prev.Next=e.Next,e=e.Next.Prev=e.Prev;else if(e== +d)break;else null===d&&(d=e),e=e.Next}b.Pts=e};f.Clipper.prototype.DupOutPt=function(b,d){var e=new f.OutPt;e.Pt.X=b.Pt.X;e.Pt.Y=b.Pt.Y;f.use_xyz&&(e.Pt.Z=b.Pt.Z);e.Idx=b.Idx;d?(e.Next=b.Next,e.Prev=b,b.Next.Prev=e,b.Next=e):(e.Prev=b.Prev,e.Next=b,b.Prev.Next=e,b.Prev=e);return e};f.Clipper.prototype.GetOverlap=function(b,d,e,f,n){b<d?e<f?(n.Left=Math.max(b,e),n.Right=Math.min(d,f)):(n.Left=Math.max(b,f),n.Right=Math.min(d,e)):e<f?(n.Left=Math.max(d,e),n.Right=Math.min(b,f)):(n.Left=Math.max(d,f), +n.Right=Math.min(b,e));return n.Left<n.Right};f.Clipper.prototype.JoinHorz=function(b,d,e,q,n,k){var v=b.Pt.X>d.Pt.X?f.Direction.dRightToLeft:f.Direction.dLeftToRight;q=e.Pt.X>q.Pt.X?f.Direction.dRightToLeft:f.Direction.dLeftToRight;if(v==q)return!1;if(v==f.Direction.dLeftToRight){for(;b.Next.Pt.X<=n.X&&b.Next.Pt.X>=b.Pt.X&&b.Next.Pt.Y==n.Y;)b=b.Next;k&&b.Pt.X!=n.X&&(b=b.Next);d=this.DupOutPt(b,!k);f.IntPoint.op_Inequality(d.Pt,n)&&(b=d,b.Pt.X=n.X,b.Pt.Y=n.Y,f.use_xyz&&(b.Pt.Z=n.Z),d=this.DupOutPt(b, +!k))}else{for(;b.Next.Pt.X>=n.X&&b.Next.Pt.X<=b.Pt.X&&b.Next.Pt.Y==n.Y;)b=b.Next;k||b.Pt.X==n.X||(b=b.Next);d=this.DupOutPt(b,k);f.IntPoint.op_Inequality(d.Pt,n)&&(b=d,b.Pt.X=n.X,b.Pt.Y=n.Y,f.use_xyz&&(b.Pt.Z=n.Z),d=this.DupOutPt(b,k))}if(q==f.Direction.dLeftToRight){for(;e.Next.Pt.X<=n.X&&e.Next.Pt.X>=e.Pt.X&&e.Next.Pt.Y==n.Y;)e=e.Next;k&&e.Pt.X!=n.X&&(e=e.Next);q=this.DupOutPt(e,!k);f.IntPoint.op_Inequality(q.Pt,n)&&(e=q,e.Pt.X=n.X,e.Pt.Y=n.Y,f.use_xyz&&(e.Pt.Z=n.Z),q=this.DupOutPt(e,!k))}else{for(;e.Next.Pt.X>= +n.X&&e.Next.Pt.X<=e.Pt.X&&e.Next.Pt.Y==n.Y;)e=e.Next;k||e.Pt.X==n.X||(e=e.Next);q=this.DupOutPt(e,k);f.IntPoint.op_Inequality(q.Pt,n)&&(e=q,e.Pt.X=n.X,e.Pt.Y=n.Y,f.use_xyz&&(e.Pt.Z=n.Z),q=this.DupOutPt(e,k))}v==f.Direction.dLeftToRight==k?(b.Prev=e,e.Next=b,d.Next=q,q.Prev=d):(b.Next=e,e.Prev=b,d.Prev=q,q.Next=d);return!0};f.Clipper.prototype.JoinPoints=function(b,d,e){var q=b.OutPt1,n;new f.OutPt;var k=b.OutPt2,v;new f.OutPt;if((v=b.OutPt1.Pt.Y==b.OffPt.Y)&&f.IntPoint.op_Equality(b.OffPt,b.OutPt1.Pt)&& +f.IntPoint.op_Equality(b.OffPt,b.OutPt2.Pt)){if(d!=e)return!1;for(n=b.OutPt1.Next;n!=q&&f.IntPoint.op_Equality(n.Pt,b.OffPt);)n=n.Next;n=n.Pt.Y>b.OffPt.Y;for(v=b.OutPt2.Next;v!=k&&f.IntPoint.op_Equality(v.Pt,b.OffPt);)v=v.Next;if(n==v.Pt.Y>b.OffPt.Y)return!1;n?(n=this.DupOutPt(q,!1),v=this.DupOutPt(k,!0),q.Prev=k,k.Next=q,n.Next=v,v.Prev=n):(n=this.DupOutPt(q,!0),v=this.DupOutPt(k,!1),q.Next=k,k.Prev=q,n.Prev=v,v.Next=n);b.OutPt1=q;b.OutPt2=n;return!0}if(v){for(n=q;q.Prev.Pt.Y==q.Pt.Y&&q.Prev!=n&& +q.Prev!=k;)q=q.Prev;for(;n.Next.Pt.Y==n.Pt.Y&&n.Next!=q&&n.Next!=k;)n=n.Next;if(n.Next==q||n.Next==k)return!1;for(v=k;k.Prev.Pt.Y==k.Pt.Y&&k.Prev!=v&&k.Prev!=n;)k=k.Prev;for(;v.Next.Pt.Y==v.Pt.Y&&v.Next!=k&&v.Next!=q;)v=v.Next;if(v.Next==k||v.Next==q)return!1;e={Left:null,Right:null};if(!this.GetOverlap(q.Pt.X,n.Pt.X,k.Pt.X,v.Pt.X,e))return!1;d=e.Left;var C=e.Right;e=new f.IntPoint;q.Pt.X>=d&&q.Pt.X<=C?(e.X=q.Pt.X,e.Y=q.Pt.Y,f.use_xyz&&(e.Z=q.Pt.Z),d=q.Pt.X>n.Pt.X):k.Pt.X>=d&&k.Pt.X<=C?(e.X=k.Pt.X, +e.Y=k.Pt.Y,f.use_xyz&&(e.Z=k.Pt.Z),d=k.Pt.X>v.Pt.X):n.Pt.X>=d&&n.Pt.X<=C?(e.X=n.Pt.X,e.Y=n.Pt.Y,f.use_xyz&&(e.Z=n.Pt.Z),d=n.Pt.X>q.Pt.X):(e.X=v.Pt.X,e.Y=v.Pt.Y,f.use_xyz&&(e.Z=v.Pt.Z),d=v.Pt.X>k.Pt.X);b.OutPt1=q;b.OutPt2=k;return this.JoinHorz(q,n,k,v,e,d)}for(n=q.Next;f.IntPoint.op_Equality(n.Pt,q.Pt)&&n!=q;)n=n.Next;if(C=n.Pt.Y>q.Pt.Y||!f.ClipperBase.SlopesEqual(q.Pt,n.Pt,b.OffPt,this.m_UseFullRange)){for(n=q.Prev;f.IntPoint.op_Equality(n.Pt,q.Pt)&&n!=q;)n=n.Prev;if(n.Pt.Y>q.Pt.Y||!f.ClipperBase.SlopesEqual(q.Pt, +n.Pt,b.OffPt,this.m_UseFullRange))return!1}for(v=k.Next;f.IntPoint.op_Equality(v.Pt,k.Pt)&&v!=k;)v=v.Next;var p=v.Pt.Y>k.Pt.Y||!f.ClipperBase.SlopesEqual(k.Pt,v.Pt,b.OffPt,this.m_UseFullRange);if(p){for(v=k.Prev;f.IntPoint.op_Equality(v.Pt,k.Pt)&&v!=k;)v=v.Prev;if(v.Pt.Y>k.Pt.Y||!f.ClipperBase.SlopesEqual(k.Pt,v.Pt,b.OffPt,this.m_UseFullRange))return!1}if(n==q||v==k||n==v||d==e&&C==p)return!1;C?(n=this.DupOutPt(q,!1),v=this.DupOutPt(k,!0),q.Prev=k,k.Next=q,n.Next=v,v.Prev=n):(n=this.DupOutPt(q,!0), +v=this.DupOutPt(k,!1),q.Next=k,k.Prev=q,n.Prev=v,v.Next=n);b.OutPt1=q;b.OutPt2=n;return!0};f.Clipper.GetBounds=function(b){for(var d=0,e=b.length;d<e&&0==b[d].length;)d++;if(d==e)return new f.IntRect(0,0,0,0);var q=new f.IntRect;q.left=b[d][0].X;q.right=q.left;q.top=b[d][0].Y;for(q.bottom=q.top;d<e;d++)for(var k=0,N=b[d].length;k<N;k++)b[d][k].X<q.left?q.left=b[d][k].X:b[d][k].X>q.right&&(q.right=b[d][k].X),b[d][k].Y<q.top?q.top=b[d][k].Y:b[d][k].Y>q.bottom&&(q.bottom=b[d][k].Y);return q};f.Clipper.prototype.GetBounds2= +function(b){var d=b,e=new f.IntRect;e.left=b.Pt.X;e.right=b.Pt.X;e.top=b.Pt.Y;e.bottom=b.Pt.Y;for(b=b.Next;b!=d;)b.Pt.X<e.left&&(e.left=b.Pt.X),b.Pt.X>e.right&&(e.right=b.Pt.X),b.Pt.Y<e.top&&(e.top=b.Pt.Y),b.Pt.Y>e.bottom&&(e.bottom=b.Pt.Y),b=b.Next;return e};f.Clipper.PointInPolygon=function(b,d){var e=0,f=d.length;if(3>f)return 0;for(var k=d[0],N=1;N<=f;++N){var v=N==f?d[0]:d[N];if(v.Y==b.Y&&(v.X==b.X||k.Y==b.Y&&v.X>b.X==k.X<b.X))return-1;if(k.Y<b.Y!=v.Y<b.Y)if(k.X>=b.X)if(v.X>b.X)e=1-e;else{var C= +(k.X-b.X)*(v.Y-b.Y)-(v.X-b.X)*(k.Y-b.Y);if(0==C)return-1;0<C==v.Y>k.Y&&(e=1-e)}else if(v.X>b.X){C=(k.X-b.X)*(v.Y-b.Y)-(v.X-b.X)*(k.Y-b.Y);if(0==C)return-1;0<C==v.Y>k.Y&&(e=1-e)}k=v}return e};f.Clipper.prototype.PointInPolygon=function(b,d){var e=0,f=d,k=b.X,N=b.Y,v=d.Pt.X,C=d.Pt.Y;do{d=d.Next;var p=d.Pt.X,F=d.Pt.Y;if(F==N&&(p==k||C==N&&p>k==v<k))return-1;if(C<N!=F<N)if(v>=k)if(p>k)e=1-e;else{v=(v-k)*(F-N)-(p-k)*(C-N);if(0==v)return-1;0<v==F>C&&(e=1-e)}else if(p>k){v=(v-k)*(F-N)-(p-k)*(C-N);if(0== +v)return-1;0<v==F>C&&(e=1-e)}v=p;C=F}while(f!=d);return e};f.Clipper.prototype.Poly2ContainsPoly1=function(b,d){var e=b;do{var f=this.PointInPolygon(e.Pt,d);if(0<=f)return 0<f;e=e.Next}while(e!=b);return!0};f.Clipper.prototype.FixupFirstLefts1=function(b,d){for(var e=0,f=this.m_PolyOuts.length;e<f;e++){var k=this.m_PolyOuts[e];null!=k.Pts&&null!=k.FirstLeft&&this.ParseFirstLeft(k.FirstLeft)==b&&this.Poly2ContainsPoly1(k.Pts,d.Pts)&&(k.FirstLeft=d)}};f.Clipper.prototype.FixupFirstLefts2=function(b, +d){for(var e=0,f=this.m_PolyOuts,k=f.length,p=f[e];e<k;e++,p=f[e])p.FirstLeft==b&&(p.FirstLeft=d)};f.Clipper.ParseFirstLeft=function(b){for(;null!=b&&null==b.Pts;)b=b.FirstLeft;return b};f.Clipper.prototype.JoinCommonEdges=function(){for(var b=0,d=this.m_Joins.length;b<d;b++){var e=this.m_Joins[b],k=this.GetOutRec(e.OutPt1.Idx),n=this.GetOutRec(e.OutPt2.Idx);if(null!=k.Pts&&null!=n.Pts){var p;p=k==n?k:this.Param1RightOfParam2(k,n)?n:this.Param1RightOfParam2(n,k)?k:this.GetLowermostRec(k,n);if(this.JoinPoints(e, +k,n))if(k==n){k.Pts=e.OutPt1;k.BottomPt=null;n=this.CreateOutRec();n.Pts=e.OutPt2;this.UpdateOutPtIdxs(n);if(this.m_UsingPolyTree){p=0;for(var v=this.m_PolyOuts.length;p<v-1;p++){var C=this.m_PolyOuts[p];null!=C.Pts&&f.Clipper.ParseFirstLeft(C.FirstLeft)==k&&C.IsHole!=k.IsHole&&this.Poly2ContainsPoly1(C.Pts,e.OutPt2)&&(C.FirstLeft=n)}}this.Poly2ContainsPoly1(n.Pts,k.Pts)?(n.IsHole=!k.IsHole,n.FirstLeft=k,this.m_UsingPolyTree&&this.FixupFirstLefts2(n,k),(n.IsHole^this.ReverseSolution)==0<this.Area(n)&& +this.ReversePolyPtLinks(n.Pts)):this.Poly2ContainsPoly1(k.Pts,n.Pts)?(n.IsHole=k.IsHole,k.IsHole=!n.IsHole,n.FirstLeft=k.FirstLeft,k.FirstLeft=n,this.m_UsingPolyTree&&this.FixupFirstLefts2(k,n),(k.IsHole^this.ReverseSolution)==0<this.Area(k)&&this.ReversePolyPtLinks(k.Pts)):(n.IsHole=k.IsHole,n.FirstLeft=k.FirstLeft,this.m_UsingPolyTree&&this.FixupFirstLefts1(k,n))}else n.Pts=null,n.BottomPt=null,n.Idx=k.Idx,k.IsHole=p.IsHole,p==n&&(k.FirstLeft=n.FirstLeft),n.FirstLeft=k,this.m_UsingPolyTree&&this.FixupFirstLefts2(n, +k)}}};f.Clipper.prototype.UpdateOutPtIdxs=function(b){var d=b.Pts;do d.Idx=b.Idx,d=d.Prev;while(d!=b.Pts)};f.Clipper.prototype.DoSimplePolygons=function(){for(var b=0;b<this.m_PolyOuts.length;){var d=this.m_PolyOuts[b++],e=d.Pts;if(null!=e&&!d.IsOpen){do{for(var k=e.Next;k!=d.Pts;){if(f.IntPoint.op_Equality(e.Pt,k.Pt)&&k.Next!=e&&k.Prev!=e){var n=e.Prev,p=k.Prev;e.Prev=p;p.Next=e;k.Prev=n;n.Next=k;d.Pts=e;n=this.CreateOutRec();n.Pts=k;this.UpdateOutPtIdxs(n);this.Poly2ContainsPoly1(n.Pts,d.Pts)?(n.IsHole= +!d.IsHole,n.FirstLeft=d,this.m_UsingPolyTree&&this.FixupFirstLefts2(n,d)):this.Poly2ContainsPoly1(d.Pts,n.Pts)?(n.IsHole=d.IsHole,d.IsHole=!n.IsHole,n.FirstLeft=d.FirstLeft,d.FirstLeft=n,this.m_UsingPolyTree&&this.FixupFirstLefts2(d,n)):(n.IsHole=d.IsHole,n.FirstLeft=d.FirstLeft,this.m_UsingPolyTree&&this.FixupFirstLefts1(d,n));k=e}k=k.Next}e=e.Next}while(e!=d.Pts)}}};f.Clipper.Area=function(b){var d=b.length;if(3>d)return 0;for(var e=0,f=0,k=d-1;f<d;++f)e+=(b[k].X+b[f].X)*(b[k].Y-b[f].Y),k=f;return.5* +-e};f.Clipper.prototype.Area=function(b){var d=b.Pts;if(null==d)return 0;var e=0;do e+=(d.Prev.Pt.X+d.Pt.X)*(d.Prev.Pt.Y-d.Pt.Y),d=d.Next;while(d!=b.Pts);return.5*e};f.Clipper.SimplifyPolygon=function(b,d){var e=[],k=new f.Clipper(0);k.StrictlySimple=!0;k.AddPath(b,f.PolyType.ptSubject,!0);k.Execute(f.ClipType.ctUnion,e,d,d);return e};f.Clipper.SimplifyPolygons=function(b,d){"undefined"==typeof d&&(d=f.PolyFillType.pftEvenOdd);var e=[],k=new f.Clipper(0);k.StrictlySimple=!0;k.AddPaths(b,f.PolyType.ptSubject, +!0);k.Execute(f.ClipType.ctUnion,e,d,d);return e};f.Clipper.DistanceSqrd=function(b,d){var e=b.X-d.X,f=b.Y-d.Y;return e*e+f*f};f.Clipper.DistanceFromLineSqrd=function(b,d,e){var f=d.Y-e.Y;e=e.X-d.X;d=f*d.X+e*d.Y;d=f*b.X+e*b.Y-d;return d*d/(f*f+e*e)};f.Clipper.SlopesNearCollinear=function(b,d,e,k){return Math.abs(b.X-d.X)>Math.abs(b.Y-d.Y)?b.X>d.X==b.X<e.X?f.Clipper.DistanceFromLineSqrd(b,d,e)<k:d.X>b.X==d.X<e.X?f.Clipper.DistanceFromLineSqrd(d,b,e)<k:f.Clipper.DistanceFromLineSqrd(e,b,d)<k:b.Y>d.Y== +b.Y<e.Y?f.Clipper.DistanceFromLineSqrd(b,d,e)<k:d.Y>b.Y==d.Y<e.Y?f.Clipper.DistanceFromLineSqrd(d,b,e)<k:f.Clipper.DistanceFromLineSqrd(e,b,d)<k};f.Clipper.PointsAreClose=function(b,d,e){var f=b.X-d.X;b=b.Y-d.Y;return f*f+b*b<=e};f.Clipper.ExcludeOp=function(b){var d=b.Prev;d.Next=b.Next;b.Next.Prev=d;d.Idx=0;return d};f.Clipper.CleanPolygon=function(b,d){"undefined"==typeof d&&(d=1.415);var e=b.length;if(0==e)return[];for(var k=Array(e),n=0;n<e;++n)k[n]=new f.OutPt;for(n=0;n<e;++n)k[n].Pt=b[n],k[n].Next= +k[(n+1)%e],k[n].Next.Prev=k[n],k[n].Idx=0;n=d*d;for(k=k[0];0==k.Idx&&k.Next!=k.Prev;)f.Clipper.PointsAreClose(k.Pt,k.Prev.Pt,n)?(k=f.Clipper.ExcludeOp(k),e--):f.Clipper.PointsAreClose(k.Prev.Pt,k.Next.Pt,n)?(f.Clipper.ExcludeOp(k.Next),k=f.Clipper.ExcludeOp(k),e-=2):f.Clipper.SlopesNearCollinear(k.Prev.Pt,k.Pt,k.Next.Pt,n)?(k=f.Clipper.ExcludeOp(k),e--):(k.Idx=1,k=k.Next);3>e&&(e=0);for(var p=Array(e),n=0;n<e;++n)p[n]=new f.IntPoint(k.Pt),k=k.Next;return p};f.Clipper.CleanPolygons=function(b,d){for(var e= +Array(b.length),k=0,n=b.length;k<n;k++)e[k]=f.Clipper.CleanPolygon(b[k],d);return e};f.Clipper.Minkowski=function(b,d,e,k){k=k?1:0;var n=b.length,p=d.length,v=[];if(e)for(e=0;e<p;e++){for(var C=Array(n),F=0,E=b.length,H=b[F];F<E;F++,H=b[F])C[F]=new f.IntPoint(d[e].X+H.X,d[e].Y+H.Y);v.push(C)}else for(e=0;e<p;e++){C=Array(n);F=0;E=b.length;for(H=b[F];F<E;F++,H=b[F])C[F]=new f.IntPoint(d[e].X-H.X,d[e].Y-H.Y);v.push(C)}b=[];for(e=0;e<p-1+k;e++)for(F=0;F<n;F++)d=[],d.push(v[e%p][F%n]),d.push(v[(e+1)% +p][F%n]),d.push(v[(e+1)%p][(F+1)%n]),d.push(v[e%p][(F+1)%n]),f.Clipper.Orientation(d)||d.reverse(),b.push(d);return b};f.Clipper.MinkowskiSum=function(b,d,e){if(d[0]instanceof Array){v=d;d=new f.Paths;for(var k=new f.Clipper,n=0;n<v.length;++n){var p=f.Clipper.Minkowski(b,v[n],!0,e);k.AddPaths(p,f.PolyType.ptSubject,!0);e&&(p=f.Clipper.TranslatePath(v[n],b[0]),k.AddPath(p,f.PolyType.ptClip,!0))}k.Execute(f.ClipType.ctUnion,d,f.PolyFillType.pftNonZero,f.PolyFillType.pftNonZero);return d}var v=f.Clipper.Minkowski(b, +d,!0,e),k=new f.Clipper;k.AddPaths(v,f.PolyType.ptSubject,!0);k.Execute(f.ClipType.ctUnion,v,f.PolyFillType.pftNonZero,f.PolyFillType.pftNonZero);return v};f.Clipper.TranslatePath=function(b,d){for(var e=new f.Path,k=0;k<b.length;k++)e.push(new f.IntPoint(b[k].X+d.X,b[k].Y+d.Y));return e};f.Clipper.MinkowskiDiff=function(b,d){var e=f.Clipper.Minkowski(b,d,!1,!0),k=new f.Clipper;k.AddPaths(e,f.PolyType.ptSubject,!0);k.Execute(f.ClipType.ctUnion,e,f.PolyFillType.pftNonZero,f.PolyFillType.pftNonZero); +return e};f.Clipper.PolyTreeToPaths=function(b){var d=[];f.Clipper.AddPolyNodeToPaths(b,f.Clipper.NodeType.ntAny,d);return d};f.Clipper.AddPolyNodeToPaths=function(b,d,e){var k=!0;switch(d){case f.Clipper.NodeType.ntOpen:return;case f.Clipper.NodeType.ntClosed:k=!b.IsOpen}0<b.m_polygon.length&&k&&e.push(b.m_polygon);k=0;b=b.Childs();for(var n=b.length,p=b[k];k<n;k++,p=b[k])f.Clipper.AddPolyNodeToPaths(p,d,e)};f.Clipper.OpenPathsFromPolyTree=function(b){for(var d=new f.Paths,e=0,k=b.ChildCount();e< +k;e++)b.Childs()[e].IsOpen&&d.push(b.Childs()[e].m_polygon);return d};f.Clipper.ClosedPathsFromPolyTree=function(b){var d=new f.Paths;f.Clipper.AddPolyNodeToPaths(b,f.Clipper.NodeType.ntClosed,d);return d};V(f.Clipper,f.ClipperBase);f.Clipper.NodeType={ntAny:0,ntOpen:1,ntClosed:2};f.ClipperOffset=function(b,d){"undefined"==typeof b&&(b=2);"undefined"==typeof d&&(d=f.ClipperOffset.def_arc_tolerance);this.m_destPolys=new f.Paths;this.m_srcPoly=new f.Path;this.m_destPoly=new f.Path;this.m_normals=[]; +this.m_StepsPerRad=this.m_miterLim=this.m_cos=this.m_sin=this.m_sinA=this.m_delta=0;this.m_lowest=new f.IntPoint;this.m_polyNodes=new f.PolyNode;this.MiterLimit=b;this.ArcTolerance=d;this.m_lowest.X=-1};f.ClipperOffset.two_pi=6.28318530717959;f.ClipperOffset.def_arc_tolerance=.25;f.ClipperOffset.prototype.Clear=function(){f.Clear(this.m_polyNodes.Childs());this.m_lowest.X=-1};f.ClipperOffset.Round=f.Clipper.Round;f.ClipperOffset.prototype.AddPath=function(b,d,e){var k=b.length-1;if(!(0>k)){var n= +new f.PolyNode;n.m_jointype=d;n.m_endtype=e;if(e==f.EndType.etClosedLine||e==f.EndType.etClosedPolygon)for(;0<k&&f.IntPoint.op_Equality(b[0],b[k]);)k--;n.m_polygon.push(b[0]);var p=0;d=0;for(var v=1;v<=k;v++)f.IntPoint.op_Inequality(n.m_polygon[p],b[v])&&(p++,n.m_polygon.push(b[v]),b[v].Y>n.m_polygon[d].Y||b[v].Y==n.m_polygon[d].Y&&b[v].X<n.m_polygon[d].X)&&(d=p);if(!(e==f.EndType.etClosedPolygon&&2>p)&&(this.m_polyNodes.AddChild(n),e==f.EndType.etClosedPolygon))if(0>this.m_lowest.X)this.m_lowest= +new f.IntPoint(this.m_polyNodes.ChildCount()-1,d);else if(b=this.m_polyNodes.Childs()[this.m_lowest.X].m_polygon[this.m_lowest.Y],n.m_polygon[d].Y>b.Y||n.m_polygon[d].Y==b.Y&&n.m_polygon[d].X<b.X)this.m_lowest=new f.IntPoint(this.m_polyNodes.ChildCount()-1,d)}};f.ClipperOffset.prototype.AddPaths=function(b,d,e){for(var f=0,k=b.length;f<k;f++)this.AddPath(b[f],d,e)};f.ClipperOffset.prototype.FixOrientations=function(){if(0<=this.m_lowest.X&&!f.Clipper.Orientation(this.m_polyNodes.Childs()[this.m_lowest.X].m_polygon))for(var b= +0;b<this.m_polyNodes.ChildCount();b++){var d=this.m_polyNodes.Childs()[b];(d.m_endtype==f.EndType.etClosedPolygon||d.m_endtype==f.EndType.etClosedLine&&f.Clipper.Orientation(d.m_polygon))&&d.m_polygon.reverse()}else for(b=0;b<this.m_polyNodes.ChildCount();b++)d=this.m_polyNodes.Childs()[b],d.m_endtype!=f.EndType.etClosedLine||f.Clipper.Orientation(d.m_polygon)||d.m_polygon.reverse()};f.ClipperOffset.GetUnitNormal=function(b,d){var e=d.X-b.X,k=d.Y-b.Y;if(0==e&&0==k)return new f.DoublePoint(0,0);var n= +1/Math.sqrt(e*e+k*k);return new f.DoublePoint(k*n,-(e*n))};f.ClipperOffset.prototype.DoOffset=function(b){this.m_destPolys=[];this.m_delta=b;if(f.ClipperBase.near_zero(b))for(var d=0;d<this.m_polyNodes.ChildCount();d++){var e=this.m_polyNodes.Childs()[d];e.m_endtype==f.EndType.etClosedPolygon&&this.m_destPolys.push(e.m_polygon)}else{this.m_miterLim=2<this.MiterLimit?2/(this.MiterLimit*this.MiterLimit):.5;var k=3.14159265358979/Math.acos(1-(0>=this.ArcTolerance?f.ClipperOffset.def_arc_tolerance:this.ArcTolerance> +Math.abs(b)*f.ClipperOffset.def_arc_tolerance?Math.abs(b)*f.ClipperOffset.def_arc_tolerance:this.ArcTolerance)/Math.abs(b));this.m_sin=Math.sin(f.ClipperOffset.two_pi/k);this.m_cos=Math.cos(f.ClipperOffset.two_pi/k);this.m_StepsPerRad=k/f.ClipperOffset.two_pi;0>b&&(this.m_sin=-this.m_sin);for(d=0;d<this.m_polyNodes.ChildCount();d++){e=this.m_polyNodes.Childs()[d];this.m_srcPoly=e.m_polygon;var n=this.m_srcPoly.length;if(!(0==n||0>=b&&(3>n||e.m_endtype!=f.EndType.etClosedPolygon))){this.m_destPoly= +[];if(1==n)if(e.m_jointype==f.JoinType.jtRound)for(var e=1,n=0,p=1;p<=k;p++){this.m_destPoly.push(new f.IntPoint(f.ClipperOffset.Round(this.m_srcPoly[0].X+e*b),f.ClipperOffset.Round(this.m_srcPoly[0].Y+n*b)));var v=e,e=e*this.m_cos-this.m_sin*n,n=v*this.m_sin+n*this.m_cos}else for(n=e=-1,p=0;4>p;++p)this.m_destPoly.push(new f.IntPoint(f.ClipperOffset.Round(this.m_srcPoly[0].X+e*b),f.ClipperOffset.Round(this.m_srcPoly[0].Y+n*b))),0>e?e=1:0>n?n=1:e=-1;else{for(p=this.m_normals.length=0;p<n-1;p++)this.m_normals.push(f.ClipperOffset.GetUnitNormal(this.m_srcPoly[p], +this.m_srcPoly[p+1]));e.m_endtype==f.EndType.etClosedLine||e.m_endtype==f.EndType.etClosedPolygon?this.m_normals.push(f.ClipperOffset.GetUnitNormal(this.m_srcPoly[n-1],this.m_srcPoly[0])):this.m_normals.push(new f.DoublePoint(this.m_normals[n-2]));if(e.m_endtype==f.EndType.etClosedPolygon)for(v=n-1,p=0;p<n;p++)v=this.OffsetPoint(p,v,e.m_jointype);else if(e.m_endtype==f.EndType.etClosedLine){v=n-1;for(p=0;p<n;p++)v=this.OffsetPoint(p,v,e.m_jointype);this.m_destPolys.push(this.m_destPoly);this.m_destPoly= +[];v=this.m_normals[n-1];for(p=n-1;0<p;p--)this.m_normals[p]=new f.DoublePoint(-this.m_normals[p-1].X,-this.m_normals[p-1].Y);this.m_normals[0]=new f.DoublePoint(-v.X,-v.Y);v=0;for(p=n-1;0<=p;p--)v=this.OffsetPoint(p,v,e.m_jointype)}else{v=0;for(p=1;p<n-1;++p)v=this.OffsetPoint(p,v,e.m_jointype);e.m_endtype==f.EndType.etOpenButt?(p=n-1,v=new f.IntPoint(f.ClipperOffset.Round(this.m_srcPoly[p].X+this.m_normals[p].X*b),f.ClipperOffset.Round(this.m_srcPoly[p].Y+this.m_normals[p].Y*b)),this.m_destPoly.push(v), +v=new f.IntPoint(f.ClipperOffset.Round(this.m_srcPoly[p].X-this.m_normals[p].X*b),f.ClipperOffset.Round(this.m_srcPoly[p].Y-this.m_normals[p].Y*b)),this.m_destPoly.push(v)):(p=n-1,v=n-2,this.m_sinA=0,this.m_normals[p]=new f.DoublePoint(-this.m_normals[p].X,-this.m_normals[p].Y),e.m_endtype==f.EndType.etOpenSquare?this.DoSquare(p,v):this.DoRound(p,v));for(p=n-1;0<p;p--)this.m_normals[p]=new f.DoublePoint(-this.m_normals[p-1].X,-this.m_normals[p-1].Y);this.m_normals[0]=new f.DoublePoint(-this.m_normals[1].X, +-this.m_normals[1].Y);v=n-1;for(p=v-1;0<p;--p)v=this.OffsetPoint(p,v,e.m_jointype);e.m_endtype==f.EndType.etOpenButt?(v=new f.IntPoint(f.ClipperOffset.Round(this.m_srcPoly[0].X-this.m_normals[0].X*b),f.ClipperOffset.Round(this.m_srcPoly[0].Y-this.m_normals[0].Y*b)),this.m_destPoly.push(v),v=new f.IntPoint(f.ClipperOffset.Round(this.m_srcPoly[0].X+this.m_normals[0].X*b),f.ClipperOffset.Round(this.m_srcPoly[0].Y+this.m_normals[0].Y*b)),this.m_destPoly.push(v)):(this.m_sinA=0,e.m_endtype==f.EndType.etOpenSquare? +this.DoSquare(0,1):this.DoRound(0,1))}}this.m_destPolys.push(this.m_destPoly)}}}};f.ClipperOffset.prototype.Execute=function(){var b=arguments;if(b[0]instanceof f.PolyTree)if(d=b[0],e=b[1],d.Clear(),this.FixOrientations(),this.DoOffset(e),b=new f.Clipper(0),b.AddPaths(this.m_destPolys,f.PolyType.ptSubject,!0),0<e)b.Execute(f.ClipType.ctUnion,d,f.PolyFillType.pftPositive,f.PolyFillType.pftPositive);else 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f.IntPoint(e.right+10,e.top-10));k.push(new f.IntPoint(e.left-10,e.top-10));b.AddPath(k,f.PolyType.ptSubject,!0);b.ReverseSolution= +!0;b.Execute(f.ClipType.ctUnion,d,f.PolyFillType.pftNegative,f.PolyFillType.pftNegative);0<d.length&&d.splice(0,1)}}};f.ClipperOffset.prototype.OffsetPoint=function(b,d,e){this.m_sinA=this.m_normals[d].X*this.m_normals[b].Y-this.m_normals[b].X*this.m_normals[d].Y;if(1>Math.abs(this.m_sinA*this.m_delta)){if(0<this.m_normals[d].X*this.m_normals[b].X+this.m_normals[b].Y*this.m_normals[d].Y)return this.m_destPoly.push(new f.IntPoint(f.ClipperOffset.Round(this.m_srcPoly[b].X+this.m_normals[d].X*this.m_delta), +f.ClipperOffset.Round(this.m_srcPoly[b].Y+this.m_normals[d].Y*this.m_delta))),d}else 1<this.m_sinA?this.m_sinA=1:-1>this.m_sinA&&(this.m_sinA=-1);if(0>this.m_sinA*this.m_delta)this.m_destPoly.push(new f.IntPoint(f.ClipperOffset.Round(this.m_srcPoly[b].X+this.m_normals[d].X*this.m_delta),f.ClipperOffset.Round(this.m_srcPoly[b].Y+this.m_normals[d].Y*this.m_delta))),this.m_destPoly.push(new f.IntPoint(this.m_srcPoly[b])),this.m_destPoly.push(new f.IntPoint(f.ClipperOffset.Round(this.m_srcPoly[b].X+this.m_normals[b].X* +this.m_delta),f.ClipperOffset.Round(this.m_srcPoly[b].Y+this.m_normals[b].Y*this.m_delta)));else switch(e){case f.JoinType.jtMiter:e=1+(this.m_normals[b].X*this.m_normals[d].X+this.m_normals[b].Y*this.m_normals[d].Y);e>=this.m_miterLim?this.DoMiter(b,d,e):this.DoSquare(b,d);break;case f.JoinType.jtSquare:this.DoSquare(b,d);break;case f.JoinType.jtRound:this.DoRound(b,d)}return b};f.ClipperOffset.prototype.DoSquare=function(b,d){var e=Math.tan(Math.atan2(this.m_sinA,this.m_normals[d].X*this.m_normals[b].X+ +this.m_normals[d].Y*this.m_normals[b].Y)/4);this.m_destPoly.push(new f.IntPoint(f.ClipperOffset.Round(this.m_srcPoly[b].X+this.m_delta*(this.m_normals[d].X-this.m_normals[d].Y*e)),f.ClipperOffset.Round(this.m_srcPoly[b].Y+this.m_delta*(this.m_normals[d].Y+this.m_normals[d].X*e))));this.m_destPoly.push(new f.IntPoint(f.ClipperOffset.Round(this.m_srcPoly[b].X+this.m_delta*(this.m_normals[b].X+this.m_normals[b].Y*e)),f.ClipperOffset.Round(this.m_srcPoly[b].Y+this.m_delta*(this.m_normals[b].Y-this.m_normals[b].X* +e))))};f.ClipperOffset.prototype.DoMiter=function(b,d,e){e=this.m_delta/e;this.m_destPoly.push(new f.IntPoint(f.ClipperOffset.Round(this.m_srcPoly[b].X+(this.m_normals[d].X+this.m_normals[b].X)*e),f.ClipperOffset.Round(this.m_srcPoly[b].Y+(this.m_normals[d].Y+this.m_normals[b].Y)*e)))};f.ClipperOffset.prototype.DoRound=function(b,d){for(var e=Math.max(f.Cast_Int32(f.ClipperOffset.Round(this.m_StepsPerRad*Math.abs(Math.atan2(this.m_sinA,this.m_normals[d].X*this.m_normals[b].X+this.m_normals[d].Y*this.m_normals[b].Y)))), 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a<l.epsbig&&a>-l.epsbig};l._helper.z3a=l.complex(-.5,.5*Math.sqrt(3));l._helper.z3b=l.complex(-.5,-.5*Math.sqrt(3));l._helper.cub1={ctype:"list",value:[l.one,l.one,l.one]};l._helper.cub2={ctype:"list",value:[l._helper.z3a,l.one,l._helper.z3b]};l._helper.cub3={ctype:"list", +value:[l._helper.z3b,l.one,l._helper.z3a]};l.solveCubic=function(a,h,c,r){a=l._helper.solveCubicHelper(a,h,c,r);return[g.scalproduct(l._helper.cub1,a),g.scalproduct(l._helper.cub2,a),g.scalproduct(l._helper.cub3,a)]};l._helper.solveCubicHelper=function(a,h,c,r){var b=a.value.real;a=a.value.imag;var d=h.value.real;h=h.value.imag;var e=c.value.real,f=c.value.imag,k=r.value.real,m=r.value.imag,n=b*e-a*f;c=b*f+a*e;r=4*n-(d*d-h*h);var p=4*c-2*d*h,q=b*d-a*h,t=b*h+a*d,v=r*e-p*f-18*(q*k-t*m),p=r*f+p*e-18* +(q*m+t*k);r=27*(b*b-a*a);var u=54*a*b,w=r*k-u*m,x=r*m+u*k,z=d*d-h*h,y=2*d*h,A=z*d-y*h,B=z*h+y*d,C=w+4*A,u=x+4*B;r=27*(v*e-p*f+C*k-u*m);p=27*(v*f+p*e+C*m+u*k);C=Math.sqrt(Math.sqrt(r*r+p*p));u=Math.atan2(p,r);p=C*Math.sin(u/2);r=C*Math.cos(u/2);A=-2*A+9*(q*e-t*f)-w+(r*b-p*a);B=-2*B+9*(q*f+t*e)-x+(r*a+p*b);r=Math.exp(Math.log(Math.sqrt(A*A+B*B))/3);e=Math.atan2(B,A);u=r*Math.sin(e/3);p=r*Math.cos(e/3);r*=r;e*=2;n=2*z-6*n;c=2*y-6*c;y=-1.5874010519681996*(d*p-h*u);d=-1.5874010519681996*(d*u+h*p);h=1.2599210498948732* +r*Math.cos(e/3);e=1.2599210498948732*r*Math.sin(e/3);r=4.762203155904599*(p*b-u*a);p=4.762203155904599*(p*a+u*b);b=r*r+p*p;u=(-n*p+c*r)/b;n=(n*r+c*p)/b;c=u;u=(-y*p+d*r)/b;y=(y*r+d*p)/b;d=u;u=(-h*p+e*r)/b;h=(h*r+e*p)/b;e=u;return g.turnIntoCSList([l.complex(n,c),l.complex(y,d),l.complex(h,e)])};var g={_helper:{},turnIntoCSList:function(a){return{ctype:"list",value:a}}};g.EMPTY=g.turnIntoCSList([]);g.asList=function(a){return"list"===a.ctype?a:"number"===a.ctype||"boolean"===a.ctype||"geo"===a.ctype? 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g.turnIntoCSList(c)};g.ex=g.realVector([1,0,0]);g.ey=g.realVector([0,1,0]);g.ez= +g.realVector([0,0,1]);g.linfty=g.realVector([0,0,1]);g.ii=g.turnIntoCSList([l.complex(1,0),l.complex(0,1),l.complex(0,0)]);g.jj=g.turnIntoCSList([l.complex(1,0),l.complex(0,-1),l.complex(0,0)]);g.fundDual=g.realMatrix([[1,0,0],[0,1,0],[0,0,0]]);g.fund=g.realMatrix([[0,0,0],[0,0,0],[0,0,1]]);g.sequence=function(a,h){for(var c=[],r=0,b=Math.round(a.value.real);b<Math.round(h.value.real)+1;b++)c[r]={ctype:"number",value:{real:b,imag:0}},r++;return{ctype:"list",value:c}};g.pairs=function(a){for(var h= +[],c=0;c<a.value.length-1;c++)for(var r=c+1;r<a.value.length;r++)h.push({ctype:"list",value:[a.value[c],a.value[r]]});return{ctype:"list",value:h}};g.triples=function(a){for(var h=[],c=0;c<a.value.length-2;c++)for(var r=c+1;r<a.value.length-1;r++)for(var b=r+1;b<a.value.length;b++)h.push({ctype:"list",value:[a.value[c],a.value[r],a.value[b]]});return{ctype:"list",value:h}};g.cycle=function(a){for(var h=[],c=0;c<a.value.length-1;c++)h[c]={ctype:"list",value:[a.value[c],a.value[c+1]]};h.push({ctype:"list", +value:[a.value[a.value.length-1],a.value[0]]});return{ctype:"list",value:h}};g.consecutive=function(a){for(var h=[],c=0;c<a.value.length-1;c++)h[c]={ctype:"list",value:[a.value[c],a.value[c+1]]};return{ctype:"list",value:h}};g.reverse=function(a){for(var h=Array(a.value.length),c=a.value.length-1,r=0;0<=c;c--,r++)h[r]=a.value[c];return{ctype:"list",value:h}};g.directproduct=function(a,h){for(var c=[],r=0;r<a.value.length;r++)for(var b=0;b<h.value.length;b++)c.push({ctype:"list",value:[a.value[r], +h.value[b]]});return{ctype:"list",value:c}};g.concat=function(a,h){for(var c=[],r=0;r<a.value.length;r++)c.push(a.value[r]);for(r=0;r<h.value.length;r++)c.push(h.value[r]);return{ctype:"list",value:c}};g.prepend=function(a,h){var c=[];c[0]=a;for(var r=0;r<h.value.length;r++)c[r+1]=h.value[r];return{ctype:"list",value:c}};g.append=function(a,h){for(var c=[],r=0;r<a.value.length;r++)c[r]=a.value[r];c.push(h);return{ctype:"list",value:c}};g.contains=function(a,h){for(var c=0;c<a.value.length;c++)if(D.equals(a.value[c], +h).value)return{ctype:"boolean",value:!0};return{ctype:"boolean",value:!1}};g.common=function(a,h){for(var c=[],r=0,b=0;b<a.value.length;b++){for(var d=!1,g=a.value[b],e=0;e<h.value.length;e++)d=d||D.equals(g,h.value[e]).value;d&&(c[r]=a.value[b],r++)}return{ctype:"list",value:c}};g.remove=function(a,h){for(var c=[],r=0,b=0;b<a.value.length;b++){for(var d=!1,g=a.value[b],e=0;e<h.value.length;e++)d=d||D.equals(g,h.value[e]).value;d||(c[r]=a.value[b],r++)}return{ctype:"list",value:c}};g.sort1=function(a){a= +a.value.slice();a.sort(w.compare);return g.turnIntoCSList(a)};g._helper.isEqual=function(a,h){return g.equals(a,h).value};g._helper.isLessThan=function(a,h){for(var c=a.value.length,r=h.value.length,b=0;!(b>=c||b>=r)&&w.isEqual(a.value[b],h.value[b]);)b++;return b===c&&b<r?!0:b===r&&b<c||b===c&&b===r?!1:w.isLessThan(a.value[b],h.value[b])};g._helper.compare=function(a,h){return g._helper.isLessThan(a,h)?-1:g._helper.isEqual(a,h)?0:1};g.equals=function(a,h){if(a.value.length!==h.value.length)return{ctype:"boolean", +value:!1};for(var c=!0,r=0;r<a.value.length;r++)var b=a.value[r],d=h.value[r],c="list"===b.ctype&&"list"===d.ctype?c&&g.equals(b,d).value:c&&pb([b,d],[]).value;return{ctype:"boolean",value:c}};g.almostequals=function(a,h){if(a.value.length!==h.value.length)return{ctype:"boolean",value:!1};for(var c=!0,r=0;r<a.value.length;r++)var b=a.value[r],d=h.value[r],c="list"===b.ctype&&"list"===d.ctype?c&&g.almostequals(b,d).value:c&&Yb([b,d],[]).value;return{ctype:"boolean",value:c}};g._helper.isAlmostReal= +function(a){for(var h=!0,c=0;c<a.value.length;c++)var r=a.value[c],h="list"===r.ctype?h&&g._helper.isAlmostReal(r):h&&l._helper.isAlmostReal(r);return h};g._helper.isAlmostZero=function(a){for(var h=0;h<a.value.length;h++){var c=a.value[h];if("list"===c.ctype){if(!g._helper.isAlmostZero(c))return!1}else if(!l._helper.isAlmostZero(c))return!1}return!0};g._helper.isNaN=function(a){for(var h=!1,c=0;c<a.value.length;c++)var r=a.value[c],h="list"===r.ctype?h||g._helper.isNaN(r):h||l._helper.isNaN(r);return h}; +g.set=function(a){var h=[],c=0;a=a.value.slice();a.sort(w.compare);for(var r=0;r<a.length;r++)0!==r&&pb([h[h.length-1],a[r]],[]).value||(h[c]=a[r],c++);return{ctype:"list",value:h}};g.maxval=function(a){for(var h=l.zero,c=0;c<a.value.length;c++){var r=a.value[c];"number"===r.ctype&&(h=l.argmax(h,r));"list"===r.ctype&&(h=l.argmax(h,g.maxval(r)))}return h};g.maxIndex=function(a,h,c){var r=0;void 0!==c&&(r=c);c=r;for(var b=h(a.value[r]).value.real;r<a.value.length;++r){var d=h(a.value[r]).value.real; +d>b&&(c=r,b=d)}return c};g.normalizeMax=function(a){var h=l.inv(g.maxval(a));return l._helper.isFinite(h)?g.scalmult(h,a):a};g.normalizeZ=function(a){var h=l.inv(a.value[2]);return g.scalmult(h,a)};g.dehom=function(a){a=a.value.slice();var h=a.length-1,c=l.inv(a[h]);a.length=h;for(var r=0;r<h;++r)a[r]=l.mult(c,a[r]);return g.turnIntoCSList(a)};g.normalizeAbs=function(a){var h=l.inv(g.abs(a));return g.scalmult(h,a)};g.max=function(a,h){if(a.value.length!==h.value.length)return k;for(var c=[],r=0;r< +a.value.length;r++)c[r]=w.max(a.value[r],h.value[r]);return{ctype:"list",value:c}};g.min=function(a,h){if(a.value.length!==h.value.length)return k;for(var c=[],r=0;r<a.value.length;r++)c[r]=w.min(a.value[r],h.value[r]);return{ctype:"list",value:c}};g.scaldiv=function(a,h){if("number"!==a.ctype)return k;for(var c=[],r=0;r<h.value.length;r++){var b=h.value[r];c[r]="number"===b.ctype?w.div(b,a):"list"===b.ctype?g.scaldiv(a,b):k}return{ctype:"list",value:c}};g.scalmult=function(a,h){if("number"!==a.ctype)return k; +for(var c=[],r=0;r<h.value.length;r++){var b=h.value[r];c[r]="number"===b.ctype?w.mult(b,a):"list"===b.ctype?g.scalmult(a,b):k}return{ctype:"list",value:c}};g.add=function(a,h){if(a.value.length!==h.value.length)return k;for(var c=[],r=0;r<a.value.length;r++){var b=a.value[r],d=h.value[r];c[r]="number"===b.ctype&&"number"===d.ctype?w.add(b,d):"list"===b.ctype&&"list"===d.ctype?g.add(b,d):k}return{ctype:"list",value:c}};g.sub=function(a,h){if(a.value.length!==h.value.length)return k;for(var c=[],r= +0;r<a.value.length;r++){var b=a.value[r],d=h.value[r];c[r]="number"===b.ctype&&"number"===d.ctype?l.sub(b,d):"list"===b.ctype&&"list"===d.ctype?g.sub(b,d):k}return{ctype:"list",value:c}};g.abs2=function(a){for(var h=0,c=0;c<a.value.length;c++){var r=a.value[c];if("number"===r.ctype)h+=l.abs2(r).value.real;else if("list"===r.ctype)h+=g.abs2(r).value.real;else return k}return{ctype:"number",value:{real:h,imag:0}}};g.abs=function(a){return l.sqrt(g.abs2(a))};g.normalizeMaxXX=function(a){for(var h=-1E4, +c=l.real(1),r=0;r<a.value.length;r++){var b=l.abs(a.value[r]);b.value.real>h&&(c=a.value[r],h=b.value.real)}return g.scaldiv(c,a)};g.recursive=function(a,h){for(var c=[],r=0;r<a.value.length;r++){var b=B(a.value[r]);c[r]="number"===b.ctype?l[h](b):"list"===b.ctype?g[h](b):k}return{ctype:"list",value:c}};g.re=function(a){return g.recursive(a,"re")};g.neg=function(a){return g.recursive(a,"neg")};g.im=function(a){return g.recursive(a,"im")};g.conjugate=function(a){return g.recursive(a,"conjugate")}; +g.transjugate=function(a){return g.transpose(g.conjugate(a))};g.round=function(a){return g.recursive(a,"round")};g.ceil=function(a){return g.recursive(a,"ceil")};g.floor=function(a){return g.recursive(a,"floor")};g._helper.colNumb=function(a){if("list"!==a.ctype)return-1;for(var h=-1,c=0;c<a.value.length;c++){if("list"!==a.value[c].ctype)return-1;if(0===c)h=a.value[c].value.length;else if(h!==a.value[c].value.length)return-1}return h};g._helper.isNumberVecN=function(a,h){if("list"!==a.ctype||a.value.length!== +h)return!1;for(var c=0;c<a.value.length;c++)if("number"!==a.value[c].ctype)return!1;return!0};g.isNumberVector=function(a){if("list"!==a.ctype)return{ctype:"boolean",value:!1};for(var h=0;h<a.value.length;h++)if("number"!==a.value[h].ctype)return{ctype:"boolean",value:!1};return{ctype:"boolean",value:!0}};g.isNumberVectorN=function(a,h){if("list"!==a.ctype)return{ctype:"boolean",value:!1};if(a.value)for(var c=0;c<a.value.length;c++)if("number"!==a.value[c].ctype)return{ctype:"boolean",value:!1};return{ctype:"boolean", +value:!0}};g.isNumberMatrix=function(a){if(-1===g._helper.colNumb(a))return{ctype:"boolean",value:!1};for(var h=0;h<a.value.length;h++)if(!g.isNumberVector(a.value[h]).value)return{ctype:"boolean",value:!1};return{ctype:"boolean",value:!0}};g._helper.isNumberMatrixMN=function(a,h,c){return g.isNumberMatrix(a).value&&a.value.length===h&&a.value[0].value.length===c};g.scalproduct=function(a,h){if(a.value.length!==h.value.length)return k;for(var c={ctype:"number",value:{real:0,imag:0}},r=0;r<h.value.length;r++){var b= +a.value[r],d=h.value[r];if("number"===b.ctype&&"number"===d.ctype)c=l.add(l.mult(b,d),c);else return k}return c};g.sesquilinearproduct=function(a,h){if(a.value.length!==h.value.length)return k;for(var c=0,r=0,b=0;b<h.value.length;b++)var d=a.value[b].value,g=h.value[b].value,c=c+(d.real*g.real+d.imag*g.imag),r=r+(d.real*g.imag-d.imag*g.real);return l.complex(c,r)};g.normSquared=function(a){for(var h=0,c=0;c<a.value.length;c++)var r=a.value[c].value,h=h+(r.real*r.real+r.imag*r.imag);return l.real(h)}; +g.productMV=function(a,h){if(a.value[0].value.length!==h.value.length)return k;for(var c=[],r=0;r<a.value.length;r++){for(var b={ctype:"number",value:{real:0,imag:0}},d=a.value[r],e=0;e<h.value.length;e++){var f=d.value[e],m=h.value[e];if("number"===f.ctype&&"number"===m.ctype)b=l.add(l.mult(f,m),b);else return k}c[r]=b}return g.turnIntoCSList(c)};g.productVM=function(a,h){if(a.value.length!==h.value.length)return k;for(var c=[],b=0;b<h.value[0].value.length;b++){for(var d={ctype:"number",value:{real:0, +imag:0}},e=0;e<a.value.length;e++){var f=a.value[e],m=h.value[e].value[b];if("number"===f.ctype&&"number"===m.ctype)d=l.add(l.mult(f,m),d);else return k}c[b]=d}return g.turnIntoCSList(c)};g.productMM=function(a,h){if(a.value[0].value.length!==h.value.length)return k;for(var c=[],b=0;b<a.value.length;b++){var d=g.productVM(a.value[b],h);c[b]=d}return g.turnIntoCSList(c)};g.mult=function(a,h){return a.value.length===h.value.length&&g.isNumberVector(a).value&&g.isNumberVector(h).value?g.scalproduct(a, +h):g.isNumberMatrix(a).value&&h.value.length===a.value[0].value.length&&g.isNumberVector(h).value?g.productMV(a,h):g.isNumberMatrix(h).value&&a.value.length===h.value.length&&g.isNumberVector(a).value?g.productVM(a,h):g.isNumberMatrix(a).value&&g.isNumberMatrix(h).value&&h.value.length===a.value[0].value.length?g.productMM(a,h):k};g.projectiveDistMinScal=function(a,h){var c=g.abs(a),b=g.abs(h);if(0===c.value.real||0===b.value.real)return 0;var d=g.conjugate(h),d=g.scalproduct(a,d),d=l._helper.isAlmostZero(d)? +l.real(1):l.div(d,l.abs(d)),c=g.scaldiv(c,a),b=g.scaldiv(b,h),b=g.scalmult(d,b),d=g.abs(g.add(c,b)),b=g.abs(g.sub(c,b));return Math.min(d.value.real,b.value.real)};g.conicDist=function(a,h){var c=v(a),b=v(h);console.log(ba(c),ba(b));return g.projectiveDistMinScal(c,b)};g.crossOperator=function(a){var h=a.value[0],c=a.value[1];a=a.value[2];return g.turnIntoCSList([g.turnIntoCSList([l.zero,l.neg(a),c]),g.turnIntoCSList([a,l.zero,l.neg(h)]),g.turnIntoCSList([l.neg(c),h,l.zero])])};g.cross=function(a, +h){var c=l.sub(l.mult(a.value[1],h.value[2]),l.mult(a.value[2],h.value[1])),b=l.sub(l.mult(a.value[2],h.value[0]),l.mult(a.value[0],h.value[2])),d=l.sub(l.mult(a.value[0],h.value[1]),l.mult(a.value[1],h.value[0]));return g.turnIntoCSList([c,b,d])};g.crossratio3harm=function(a,h,c,b,d){var e=g.det3(a,c,d),f=g.det3(h,b,d);a=g.det3(a,b,d);h=g.det3(h,c,d);e=l.mult(e,f);f=l.mult(a,h);return g.turnIntoCSList([e,f])};g.crossratio3=function(a,h,c,b,d){a=g.crossratio3harm(a,h,c,b,d);return l.div(a.value[0], +a.value[1])};g.veronese=function(a){var h=l.mult(a.value[0],a.value[0]),c=l.mult(a.value[1],a.value[1]),b=l.mult(a.value[2],a.value[2]),d=l.mult(a.value[0],a.value[1]),e=l.mult(a.value[0],a.value[2]);a=l.mult(a.value[1],a.value[2]);return g.turnIntoSCList([h,c,b,d,e,a])};g.matrixFromVeronese=function(a){var h=a.value[0],c=a.value[1],b=a.value[2],d=l.realmult(.5,a.value[3]),e=l.realmult(.5,a.value[4]);a=l.realmult(.5,a.value[5]);return g.turnIntoCSList([g.turnIntoCSList([h,d,e]),g.turnIntoCSList([d, +c,a]),g.turnIntoCSList([e,a,b])])};g.det2=function(a,h){var c=l.mult(a.value[0],h.value[1]);return c=l.sub(c,l.mult(a.value[1],h.value[0]))};g.det3=function(a,h,c){return l.complex(a.value[0].value.real*h.value[1].value.real*c.value[2].value.real-a.value[0].value.imag*h.value[1].value.imag*c.value[2].value.real-a.value[0].value.imag*h.value[1].value.real*c.value[2].value.imag-a.value[0].value.real*h.value[1].value.imag*c.value[2].value.imag+a.value[2].value.real*h.value[0].value.real*c.value[1].value.real- +a.value[2].value.imag*h.value[0].value.imag*c.value[1].value.real-a.value[2].value.imag*h.value[0].value.real*c.value[1].value.imag-a.value[2].value.real*h.value[0].value.imag*c.value[1].value.imag+a.value[1].value.real*h.value[2].value.real*c.value[0].value.real-a.value[1].value.imag*h.value[2].value.imag*c.value[0].value.real-a.value[1].value.imag*h.value[2].value.real*c.value[0].value.imag-a.value[1].value.real*h.value[2].value.imag*c.value[0].value.imag-a.value[0].value.real*h.value[2].value.real* +c.value[1].value.real+a.value[0].value.imag*h.value[2].value.imag*c.value[1].value.real+a.value[0].value.imag*h.value[2].value.real*c.value[1].value.imag+a.value[0].value.real*h.value[2].value.imag*c.value[1].value.imag-a.value[2].value.real*h.value[1].value.real*c.value[0].value.real+a.value[2].value.imag*h.value[1].value.imag*c.value[0].value.real+a.value[2].value.imag*h.value[1].value.real*c.value[0].value.imag+a.value[2].value.real*h.value[1].value.imag*c.value[0].value.imag-a.value[1].value.real* +h.value[0].value.real*c.value[2].value.real+a.value[1].value.imag*h.value[0].value.imag*c.value[2].value.real+a.value[1].value.imag*h.value[0].value.real*c.value[2].value.imag+a.value[1].value.real*h.value[0].value.imag*c.value[2].value.imag,-a.value[0].value.imag*h.value[1].value.imag*c.value[2].value.imag+a.value[0].value.imag*h.value[1].value.real*c.value[2].value.real+a.value[0].value.real*h.value[1].value.real*c.value[2].value.imag+a.value[0].value.real*h.value[1].value.imag*c.value[2].value.real- +a.value[2].value.imag*h.value[0].value.imag*c.value[1].value.imag+a.value[2].value.imag*h.value[0].value.real*c.value[1].value.real+a.value[2].value.real*h.value[0].value.real*c.value[1].value.imag+a.value[2].value.real*h.value[0].value.imag*c.value[1].value.real-a.value[1].value.imag*h.value[2].value.imag*c.value[0].value.imag+a.value[1].value.imag*h.value[2].value.real*c.value[0].value.real+a.value[1].value.real*h.value[2].value.real*c.value[0].value.imag+a.value[1].value.real*h.value[2].value.imag* +c.value[0].value.real+a.value[0].value.imag*h.value[2].value.imag*c.value[1].value.imag-a.value[0].value.imag*h.value[2].value.real*c.value[1].value.real-a.value[0].value.real*h.value[2].value.real*c.value[1].value.imag-a.value[0].value.real*h.value[2].value.imag*c.value[1].value.real+a.value[2].value.imag*h.value[1].value.imag*c.value[0].value.imag-a.value[2].value.imag*h.value[1].value.real*c.value[0].value.real-a.value[2].value.real*h.value[1].value.real*c.value[0].value.imag-a.value[2].value.real* +h.value[1].value.imag*c.value[0].value.real+a.value[1].value.imag*h.value[0].value.imag*c.value[2].value.imag-a.value[1].value.imag*h.value[0].value.real*c.value[2].value.real-a.value[1].value.real*h.value[0].value.real*c.value[2].value.imag-a.value[1].value.real*h.value[0].value.imag*c.value[2].value.real)};g.det4m=function(a){var h=a.value,c=h[0].value,b=c[0].value,d=+b.real,g=+b.imag,b=c[1].value,e=+b.real,f=+b.imag,b=c[2].value,k=+b.real,m=+b.imag,b=c[3].value,n=+b.real,p=+b.imag,c=h[1].value, +b=c[0].value,q=+b.real,t=+b.imag,b=c[1].value,u=+b.real,v=+b.imag,b=c[2].value,w=+b.real,x=+b.imag,b=c[3].value,c=+b.real,b=+b.imag;a=d*u-g*v-e*q+f*t;var y=d*v+g*u-e*t-f*q,z=d*w-g*x-k*q+m*t,A=d*x+g*w-k*t-m*q,B=d*c-g*b-n*q+p*t,C=d*b+g*c-n*t-p*q,D=e*w-f*x-k*u+m*v,E=e*x+f*w-k*v-m*u,F=e*c-f*b-n*u+p*v,G=e*b+f*c-n*v-p*u,H=k*c-m*b-n*w+p*x,L=k*b+m*c-n*x-p*w,c=h[2].value,b=c[0].value,d=+b.real,g=+b.imag,b=c[1].value,e=+b.real,f=+b.imag,b=c[2].value,k=+b.real,m=+b.imag,b=c[3].value,n=+b.real,p=+b.imag,c=h[3].value, +b=c[0].value,q=+b.real,t=+b.imag,b=c[1].value,u=+b.real,v=+b.imag,b=c[2].value,w=+b.real,x=+b.imag,b=c[3].value,c=+b.real,b=+b.imag,h=d*u-g*v-e*q+f*t,J=d*v+g*u-e*t-f*q,I=d*w-g*x-k*q+m*t,K=d*x+g*w-k*t-m*q,M=d*c-g*b-n*q+p*t,d=d*b+g*c-n*t-p*q,g=e*w-f*x-k*u+m*v,q=e*x+f*w-k*v-m*u,t=e*c-f*b-n*u+p*v,e=e*b+f*c-n*v-p*u,f=k*c-m*b-n*w+p*x,k=k*b+m*c-n*x-p*w;return l.complex(a*f-y*k-z*t+A*e+B*g-C*q+D*M-E*d-F*I+G*K+H*h-L*J,a*k+y*f-z*e-A*t+B*q+C*g+D*d+E*M-F*K-G*I+H*J+L*h)};g.eucangle=function(a,h){var c=g.cross(a, +g.linfty),b=g.cross(h,g.linfty),d=g.det3(g.ez,c,g.ii),c=g.det3(g.ez,c,g.jj),e=g.det3(g.ez,b,g.ii),b=g.det3(g.ez,b,g.jj),d=l.div(l.mult(d,b),l.mult(e,c)),d=l.log(d);return d=l.mult(d,l.complex(0,.5))};g.zerovector=function(a){a=Math.floor(a.value.real);for(var h=Array(a),c=0;c<a;c++)h[c]=0;return g.realVector(h)};g.zeromatrix=function(a,h){for(var c=Math.floor(a.value.real),b=Array(c),d=0;d<c;d++)b[d]=g.zerovector(h);return g.turnIntoCSList(b)};g.vandermonde=function(a){for(var h=a.value.length,c= +g.zeromatrix(h,h),b=0;b<h;b++)for(var d=0;d<h;d++)c.value[b].value[d]=l.pow(a.value[b],l.real(d-1));return c};g.transpose=function(a){for(var h=[],c=a.value[0].value.length,b=a.value.length,d=0;d<c;d++){for(var e=[],f=0;f<b;f++)e[f]=a.value[f].value[d];h[d]=g.turnIntoCSList(e)}return g.turnIntoCSList(h)};g.column=function(a,h){for(var c=[],b=a.value.length,d=Math.floor(h.value.real-1),e=0;e<b;e++)c[e]=a.value[e].value[d];return g.turnIntoCSList(c)};g.row=function(a,h){for(var c=[],b=a.value[0].value.length, +d=Math.floor(h.value.real-1),e=0;e<b;e++)c[e]=a.value[d].value[e];return g.turnIntoCSList(c)};g.adjoint2=function(a){var h=a.value[0].value[0],c=a.value[1].value[0],b=Array(2);b[0]=g.turnIntoCSList([a.value[1].value[1],l.neg(a.value[0].value[1])]);b[1]=g.turnIntoCSList([l.neg(c),h]);return b=g.turnIntoCSList(b)};g.adjoint3=function(a){var h,c,b,d,g,e,f,k,l,m,n,p,q,t,u,v,w;h=a.value[0].value;c=h[0].value;b=c.real;d=c.imag;c=h[1].value;g=c.real;e=c.imag;c=h[2].value;f=c.real;k=c.imag;h=a.value[1].value; +c=h[0].value;l=c.real;m=c.imag;c=h[1].value;n=c.real;p=c.imag;c=h[2].value;q=c.real;t=c.imag;h=a.value[2].value;c=h[0].value;a=c.real;u=c.imag;c=h[1].value;v=c.real;w=c.imag;c=h[2].value;h=c.real;c=c.imag;return{ctype:"list",value:[{ctype:"list",value:[{ctype:"number",value:{real:n*h-q*v-p*c+t*w,imag:n*c-q*w-v*t+h*p}},{ctype:"number",value:{real:-g*h+f*v+e*c-k*w,imag:-g*c+f*w+v*k-h*e}},{ctype:"number",value:{real:g*q-f*n-e*t+k*p,imag:g*t-f*p-n*k+q*e}}]},{ctype:"list",value:[{ctype:"number",value:{real:-l* +h+q*a+m*c-t*u,imag:-l*c+q*u+a*t-h*m}},{ctype:"number",value:{real:b*h-f*a-d*c+k*u,imag:b*c-f*u-a*k+h*d}},{ctype:"number",value:{real:-b*q+f*l+d*t-k*m,imag:-b*t+f*m+l*k-q*d}}]},{ctype:"list",value:[{ctype:"number",value:{real:l*v-n*a-m*w+p*u,imag:l*w-n*u-a*p+v*m}},{ctype:"number",value:{real:-b*v+g*a+d*w-e*u,imag:-b*w+g*u+a*e-v*d}},{ctype:"number",value:{real:b*n-g*l-d*p+e*m,imag:b*p-g*m-l*e+n*d}}]}]}};g.inverse=function(a){var h=a.value.length;if(h!==a.value[0].value.length)return console.log("Inverse works only for square matrices"), +k;if(2===h)return g.scaldiv(g.det(a),g.adjoint2(a));if(3===h)return g.scaldiv(g.det(a),g.adjoint3(a));h=g.LUdecomp(a);a=a.value.length;var c=l.real(0),b=l.real(1),d=g.zerovector(l.real(a));d.value[0]=b;for(var e=Array(a),f=0;f<a;f++)e[f]=g._helper.LUsolve(h,d),d.value[f]=c,d.value[f+1]=b;e=g.turnIntoCSList(e);return e=g.transpose(e)};g.linearsolve=function(a,h){return 2===a.value.length?g.linearsolveCramer2(a,h):3===a.value.length?g.linearsolveCramer3(a,h):g.LUsolve(a,h)};g.getDiag=function(a){if(a.value.length!== +a.value[0].value.length)return k;for(var h=Array(a.value.length),c=0;c<a.value.length;c++)h[c]=a.value[c].value[c];return g.turnIntoCSList(h)};g.getSubDiag=function(a){if(a.value.length!==a.value[0].value.length)return k;for(var h=Array(a.value.length-1),c=0;c<a.value.length-1;c++)h[c]=a.value[c+1].value[c];return g.turnIntoCSList(h)};g.eig2=function(a){var h=l.add(a.value[0].value[0],a.value[1].value[1]);a=g.det2(a.value[0],a.value[1]);var c=l.mult(h,h),b=h=l.mult(h,l.real(.5));a=l.sqrt(l.sub(l.div(c, +l.real(4)),a));h=l.add(h,a);b=l.sub(b,a);return g.turnIntoCSList([h,b])};g.eig=function(a,h){var c=h||!0,b=a,d=l.real(b.value.length),e=d.value.real;l.real(0);var b=g._helper.QRIteration(b)[0],b=g.getDiag(b),b=g.sort1(b),d=g.idMatrix(d,d),f=Array(e),f=g.turnIntoCSList(f);if(c){for(var k,m,n,p=0,q=!1,c=0;c<e;c++)q?m=k.value[p]:(k=b.value[c],k=g.sub(a,g.scalmult(k,d)),k=g.nullSpace(k),m=k.value[0],void 0!==m&&(n=m)),void 0===m&&(m=n),1E-8>g.abs(m).value.real&&0===p&&(m=g._helper.inverseIteration(a, +b.value[c])),f.value[c]=g._helper.isAlmostZeroVec(m)?m:g.scaldiv(g.abs(m),m),c<e-1&&((q=1E-6>l.abs(l.sub(b.value[c],b.value[c+1])).value.real)?p++:p=0);f=g.transpose(f)}return g.turnIntoCSList([b,f])};g._helper.isNormalMatrix=function(a){return 1E-10>g.abs(g.sub(a,g.transjugate(a))).value.real};g._helper.QRIteration=function(a,h){var c,b=a;c=l.real(b.value.length);var d=c.value.real,e=c.value.real;l.real(0);var f;g.idMatrix(c,c);var k=g.zeromatrix(c,c),m=g.idMatrix(c,c),n=h?h:2500,p,q,t,u=0,v=Array(e); +for(c=0;c<n;c++){f=g._helper.getBlock(b,[e-2,e-1],[e-2,e-1]);p=g.eig2(f);f=p.value[0];p=p.value[1];g.abs(f);g.abs(p);q=b.value[e-1].value[e-1];t=l.abs(l.sub(q,f)).value.real;q=l.abs(l.sub(q,p)).value.real;p=t<q?f:p;f=g.idMatrix(l.real(e),l.real(e));p=g.scalmult(p,f);f=g.QRdecomp(g.sub(b,p));b=w.mult(f.R,f.Q);b=g.add(b,p);f.Q=g._helper.buildBlockMatrix(f.Q,g.idMatrix(l.real(u),l.real(u)));m=w.mult(m,f.Q);if(1E-48>l.abs2(b.value[b.value.length-1].value[b.value[0].value.length-2]).value.real&&1<e){v[d- +u-1]=b.value[e-1].value[e-1];for(c=0;c<e;c++)k.value[e-1].value[c]=b.value[e-1].value[c],k.value[c].value[e-1]=b.value[c].value[e-1];b=g._helper.getBlock(b,[0,e-2],[0,e-2]);u++;e--}if(1===e){k.value[0].value[0]=b.value[0].value[0];break}if(g._helper.isUpperTriangular(b)){for(c=0;c<e;c++)k.value[c].value[c]=b.value[c].value[c];break}}return[k,m]};g.rank=function(a,h){return g.RRQRdecomp(a,h).rank};g._helper.isAlmostZeroVec=function(a){for(var h=a.value.length,c=0;c<h;c++)if(!l._helper.isAlmostZero(a.value[c]))return!1; +return!0};g._helper.isLowerTriangular=function(a){for(var h=a.value.length,c=a.value[0].value.length,b=0;b<h;b++)for(var d=b+1;d<c;d++)if(!l._helper.isAlmostZero(a.value[b].value[d]))return!1;return!0};g._helper.isUpperTriangular=function(a){return g._helper.isLowerTriangular(g.transpose(a))};g._helper.isAlmostId=function(a){var h=a.value.length,c=l.real(h);if(h!==a.value[0].value.length)return!1;a=g.sub(a,g.idMatrix(c),c);for(c=0;c<h;c++)for(var b=0;b<h;b++)if(1E-16<l.abs(a.value[c].value[b]).value.real)return!1; +return!0};g.nullSpace=function(a,h){var c=a.value.length,b=g.RRQRdecomp(g.transjugate(a),h),d=g.transpose(b.Q),b=c-b.rank.value.real,e=Array(b);d.value.reverse();for(var f,k=0;k<b;k++)f=d.value[k],e[k]=g.scaldiv(g.abs(f),f);e=g.turnIntoCSList(e);return 0<e.value.length?e:g.turnIntoCSList([g.zerovector(l.real(c))])};g._helper.isAlmostDiagonal=function(a){var h=a.value.length;l.real(h);l.real(0);if(h!==a.value[0].value.length)return!1;for(var c=0;c<h;c++)for(var b=0;b<h;b++)if(c!==b&&1E-16<l.abs(a.value[c].value[b]).value.real)return!1; +return!0};g._helper.inverseIteration=function(a,h){console.log("warning: code untested");for(var c=a.value.length,b=Array(c),d=0;d<c;d++)b[d]=2*Math.random()-.5;for(var b=g.realVector(b),c=g.idMatrix(l.real(c),l.real(c)),d=l.add(h,l.real(.1*Math.random()-.5)),e=0;100>e;e++)b=g.scaldiv(g.abs(b),b),b=g.LUsolve(g.sub(a,g.scalmult(d,c)),JSON.parse(JSON.stringify(b)));return g.scaldiv(g.abs(b),b)};g._helper.toHessenberg=function(a){var h=JSON.parse(JSON.stringify(a)),c=h.value.length,b=l.real(c-1),d=l.real(c); +l.real(1);if(g._helper.isUpperTriangular(h))return[g.idMatrix(b,b),a];var e;a=g.idMatrix(d,d);for(var f,d=1;d<c-1;d++)e=g.column(h,l.real(d)),e.value=e.value.splice(d),f=g.abs2(e).value.real,1E-16<f&&(e=g._helper.getHouseHolder(e),a=w.mult(a,e),h=w.mult(w.mult(e,h),e)),b.value.real--;return[a,h]};g._helper.swapEl=function(a,h,c){var b;"[object Array]"===Object.prototype.toString.call(a)?(b=a[h],a[h]=a[c],a[c]=b):"list"===a.ctype&&(b=a.value[h],a.value[h]=a.value[c],a.value[c]=b)};g.RRQRdecomp=function(a, +h){var c=Math.sqrt(l.eps);void 0!==h&&(c=.1*h.value.real);var c=c*c,b,d=a.value.length,e=l.real(d),f=l.real(1),k=g._helper.unitvector(l.real(a.value.length),f),m=g.idMatrix(e,e),n=JSON.parse(JSON.stringify(a)),p=g.transpose(a),q=Array(d);for(b=0;b<d;b++)q[b]=g.abs2(p.value[b]);q=g.turnIntoCSList(q);p=Array(d);for(b=0;b<d;b++)p[b]=b;b=g.maxIndex(q,l.abs);for(var t=q.value[b],u=0,v=0;1E-16<l.abs2(t).value.real;v++){u++;g._helper.swapColumn(n,v,b);g._helper.swapEl(q,v,b);g._helper.swapEl(p,v,b);b=g._helper.getBlock(n, 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c=B(a[0]);return"number"===c.ctype?l.sqrt(c):k};D.laguerre=function(a,h,c){if("list"!==a.ctype)return k;var b=a.value.length-1,d;for(d=0;d<=b;d++)if("number"!==a.value[d].ctype)return k;if("number"!==h.ctype)return k;for(var e=[1,.3141,.5926,.5358,.9793,.2385,.6264,.3383,.2795,.0288],g,f,m,n=1;n<=c;n++){f=m=l.zero;g=a.value[b];for(d=b-1;0<=d;d--)m=l.add(f,l.mult(m,h)),f=l.add(g,l.mult(f,h)),g=l.add(a.value[d],l.mult(g, +h));if(l._helper.isLessThan(l.abs(g),l.real(1E-14)))break;d=l.div(f,g);f=l.mult(d,d);g=l.sub(f,l.div(l.mult(l.real(2),m),g));m=l.sqrt(l.mult(l.real(b-1),l.sub(l.mult(l.real(b),g),f)));g=l.add(d,m);d=l.sub(d,m);l._helper.isLessThan(l.abs(g),l.abs(d))&&(g=d);d=l._helper.isLessThan(l.real(1E-14),l.abs(g))?l.div(l.real(b),g):l.mult(l.add(l.abs(h),l.one),l.complex(Math.cos(n),Math.sin(n)));if(l._helper.isLessThan(l.abs(d),l.real(1E-14)))break;0===n%20&&n<c-19&&(d=l.mult(d,l.real(e[Math.floor(n/20)]))); +h=l.sub(h,d)}return h};D.quadratic_roots=function(a){if("list"!==a.ctype)return k;var h=a.value[2],c=a.value[1];a=a.value[0];if(l._helper.isZero(a))return[l.zero,l.neg(l.div(c,h))];var b=l.sqrt(l.sub(l.mult(c,c),l.mult(l.real(4),l.mult(h,a))));0<=l.re(c)&&(b=l.neg(b));return[l.div(l.sub(b,c),l.mult(l.real(2),h)),l.div(l.mult(l.real(2),a),l.sub(b,c))]};D.roots=function(a){var h=[],c=a,b=a.value.length-1;if(0>=b)return g.turnIntoCSList([]);if(l._helper.isZero(a.value[b]))return h=D.roots(g.turnIntoCSList(a.value.slice(0, +b))),g.append(h,l.infinity);if(1===b)h[0]=l.neg(l.div(a.value[0],a.value[1]));else if(2===b)h=D.quadratic_roots(a);else{for(var d=0;d<b-2;d++){h[d]=D.laguerre(a,l.zero,200);h[d]=D.laguerre(c,h[d],1);var e=[];e[b-d]=a.value[b-d];for(var f=b-d;0<f;f--)e[f-1]=l.add(a.value[f-1],l.mult(e[f],h[d]));e.shift();a=g.turnIntoCSList(e)}a=D.quadratic_roots(a);h[b-2]=a[0];h[b-1]=a[1]}return g.turnIntoCSList(h)};t.roots$1=function(a,h){var c=B(a[0]);if("list"===c.ctype){for(var b=0;b<c.value.length;b++)if("number"!== +c.value[b].ctype)return k;c=D.roots(c);return g.sort1(c)}return k};t.autodiff$3=function(a,h){var c="x",b;if("function"===a[0].ctype)b=Za[a[0].oper].body,c=a[0].args[0].name;else if("function"===typeof a[0].impl)b=a[0];else return console.log("could not parse function"),k;var d=B(a[1]),e=B(a[2]);if(1>e.value.real)return console.log("grade cant be < 1"),k;e=l.add(e,l.real(1));return P.autodiff(b,c,d,e)};t.cos$1=function(a,h){var c=B(a[0]);return"number"===c.ctype?l.cos(c):k};t.tan$1=function(a,h){var c= +B(a[0]);return"number"===c.ctype?l.tan(c):k};t.arccos$1=function(a,h){var c=B(a[0]);return"number"===c.ctype?l.arccos(c):k};t.arcsin$1=function(a,h){var c=B(a[0]);return"number"===c.ctype?l.arcsin(c):k};t.arctan$1=function(a,h){var c=B(a[0]);return"number"===c.ctype?l.arctan(c):k};t.arctan2$2=function(a,h){var c=B(a[0]),b=B(a[1]);return"number"===c.ctype&&"number"===b.ctype?l.arctan2(c,b):k};t.arctan2$1=function(a,h){var c=B(a[0]);if("list"===c.ctype&&2===c.value.length){if(c=c.value,"number"===c[0].ctype&& +"number"===c[1].ctype)return t.arctan2$2(c,h)}else if("number"===c.ctype)return l.arctan2(c);return k};t.log$1=function(a,h){var c=B(a[0]);return"number"===c.ctype?l.log(c):k};D.recursiveGen=function(a){var h=l[a],c=g[a];t[a+"$1"]=function(a,b){var d=B(a[0]);return"number"===d.ctype?h(d):"list"===d.ctype?c(d):k}};D.recursiveGen("im");D.recursiveGen("re");D.recursiveGen("conjugate");D.recursiveGen("round");D.recursiveGen("ceil");D.recursiveGen("floor");D.recursiveGen("abs");t.abs_infix=t.abs$1;t.random$0= +function(a,h){return l.real(l._helper.rand())};t.random$1=function(a,h){var c=B(a[0]);return"number"===c.ctype?l.complex(c.value.real*l._helper.rand(),c.value.imag*l._helper.rand()):k};t.seedrandom$1=function(a,h){var c=B(a[0]);"number"===c.ctype&&l._helper.seedrandom(c.value.real);return k};t.randomnormal$0=function(a,h){return l.real(l._helper.randnormal())};t.randominteger$1=function(a,h){var c=B(a[0]);if("number"===c.ctype){var b=c.value.real|0,c=c.value.imag|0,b=b*l._helper.rand()|0,c=c*l._helper.rand()| +0;return l.complex(b,c)}return k};t.randomint$1=t.randominteger$1;t.randombool$0=function(a,h){return.5<l._helper.rand()?{ctype:"boolean",value:!0}:{ctype:"boolean",value:!1}};t.isreal$1=function(a,h){var c=A(a[0]);return"number"===c.ctype&&l._helper.isAlmostReal(c)?{ctype:"boolean",value:!0}:{ctype:"boolean",value:!1}};t.isinteger$1=function(a,h){var c=A(a[0]);return"number"===c.ctype&&l._helper.isAlmostReal(c)&&c.value.real===Math.floor(c.value.real)?{ctype:"boolean",value:!0}:{ctype:"boolean", +value:!1}};t.iseven$1=function(a,h){var c=A(a[0]);return"number"===c.ctype&&l._helper.isAlmostReal(c)&&c.value.real/2===Math.floor(c.value.real/2)?{ctype:"boolean",value:!0}:{ctype:"boolean",value:!1}};t.isodd$1=function(a,h){var c=A(a[0]);return"number"===c.ctype&&l._helper.isAlmostReal(c)&&(c.value.real-1)/2===Math.floor((c.value.real-1)/2)?{ctype:"boolean",value:!0}:{ctype:"boolean",value:!1}};t.iscomplex$1=function(a,h){return"number"===A(a[0]).ctype?{ctype:"boolean",value:!0}:{ctype:"boolean", +value:!1}};t.isstring$1=function(a,h){return"string"===A(a[0]).ctype?{ctype:"boolean",value:!0}:{ctype:"boolean",value:!1}};t.islist$1=function(a,h){return"list"===A(a[0]).ctype?{ctype:"boolean",value:!0}:{ctype:"boolean",value:!1}};t.ismatrix$1=function(a,h){var c=A(a[0]);return-1!==g._helper.colNumb(c)?{ctype:"boolean",value:!0}:{ctype:"boolean",value:!1}};t.iscircle$1=function(a,h){var c=A(a[0]);return"geo"===c.ctype&&"C"===c.value.kind&&"Circle"===c.value.matrix.usage?{ctype:"boolean",value:!0}: +{ctype:"boolean",value:!1}};t.isconic$1=function(a,h){var c=A(a[0]);return"geo"===c.ctype&&"C"===c.value.kind?{ctype:"boolean",value:!0}:{ctype:"boolean",value:!1}};t.isline$1=function(a,h){var c=A(a[0]);return"geo"===c.ctype&&"L"===c.value.kind?{ctype:"boolean",value:!0}:{ctype:"boolean",value:!1}};t.ispoint$1=function(a,h){var c=A(a[0]);return"geo"===c.ctype&&"P"===c.value.kind?{ctype:"boolean",value:!0}:{ctype:"boolean",value:!1}};t.isgeometric$1=function(a,h){return"geo"===A(a[0]).ctype?{ctype:"boolean", +value:!0}:{ctype:"boolean",value:!1}};t.isnumbermatrix$1=function(a,h){var c=A(a[0]);return g.isNumberMatrix(c)};t.isnumbervector$1=function(a,h){var c=A(a[0]);return g.isNumberVector(c)};t.issun$1=function(a,h){var c=A(a[0]);return"geo"===c.ctype&&void 0!==c.value.behavior&&"Sun"===c.value.behavior.type?{ctype:"boolean",value:!0}:{ctype:"boolean",value:!1}};t.ismass$1=function(a,h){var c=A(a[0]);return"geo"===c.ctype&&void 0!==c.value.behavior&&"Mass"===c.value.behavior.type?{ctype:"boolean",value:!0}: +{ctype:"boolean",value:!1}};t.isspring$1=function(a,h){var c=A(a[0]);return"geo"===c.ctype&&void 0!==c.value.behavior&&"Spring"===c.value.behavior.type?{ctype:"boolean",value:!0}:{ctype:"boolean",value:!1}};t.isbouncer$1=function(a,h){var c=A(a[0]);return"geo"===c.ctype&&void 0!==c.value.behavior&&"Bouncer"===c.value.behavior.type?{ctype:"boolean",value:!0}:{ctype:"boolean",value:!1}};t.isundefined$1=function(a,h){return"undefined"===A(a[0]).ctype?{ctype:"boolean",value:!0}:{ctype:"boolean",value:!1}}; +var Hd={ArcBy3:"Arc",CenterOfConic:"Center",ConicBy1p4l:"Conic1P4L",ConicBy4p1l:"Conic4P1L",ConicBy5lines:"Conic5L",ConicBy2Foci1P:"ConicFoci",ConicFromPrincipalDirections:"ConicPrincipleDirs",Free:"FreePoint",PolarOfLine:"PolarLine",PolarOfPoint:"PolarPoint",PointOnSegment:"PointOnLine",Button:"Text",ToggleButton:"Text",TrReflectionL:"TrReflection",TrReflectionP:"TrReflection",TrReflectionC:"TrReflection",TrTranslation:"TrProjection",TrSimilarity:"TrProjection",TrAffine:"TrProjection",TransformP:"Transform", +TransformL:"Transform",TransformSegment:"Transform",TransformS:"Transform",TransformPolygon:"Transform",TransformArc:"Transform",TransformConic:"Transform",TransformC:"Transform",TrMoebiusP:"Transform",TrMoebiusL:"Transform",TrMoebiusSegment:"Transform",TrMoebiusS:"Transform",TrMoebiusPolygon:"Transform",TrMoebiusArc:"Transform",TrMoebiusCircle:"Transform",TrMoebiusC:"Transform",TrInverseMoebius:"TrInverse",Perp:"Orthogonal",Para:"Parallel",AngleBisector:"AngularBisector",IntersectLC:"IntersectionConicLine", +IntersectCirCir:"IntersectionCircleCircle",OtherPointOnCircle:"PointOnCircle"};t.algorithm$1=function(a,h){var c=A(a[0]);if("geo"===c.ctype){var c=c.value,b=c.type,d=B(h.compatibility);"string"===d.ctype&&/^cinderella$/i.test(d.value)&&(/^Select/.test(b)&&(c=u.csnames[c.args[0]],b=c.type),Hd.hasOwnProperty(b)?b=Hd[b]:"CircleMr"===b&&(b=c.pinned?"CircleByFixedRadius":"CircleByRadius"));return w.string(b)}return k};t.inputs$1=function(a,h){var c=A(a[0]);if("geo"===c.ctype){var c=c.value,b=c.type,d= +[];c.args&&(d=c.args.map(function(a){return{ctype:"geo",value:u.csnames[a]}}));if(/^Select/.test(b)||m[b].isMovable)switch(c.kind){case "P":case "L":d.push(c.homog);break;case "C":d.push(c.matrix)}return g.turnIntoCSList(d)}return k};t.moveto$2=function(a,h){var c=A(a[0]),b=B(a[1]);"geo"===c.ctype&&(c=c.value,g._helper.isNumberVecN(b,2)?ya.setField(c,"xy",b):g._helper.isNumberVecN(b,3)&&ya.setField(c,"homog",b));return k};t.continuefromhere$0=function(a,h){ub();return k};t.matrixrowcolumn$1=function(a, +h){var c=A(a[0]);return-1!==g._helper.colNumb(c)?g.realVector([c.value.length,c.value[0].value.length]):k};t.rowmatrix$1=function(a,h){var c=A(a[0]);return"list"===c.ctype?g.turnIntoCSList([c]):k};t.columnmatrix$1=function(a,h){var c=A(a[0]);return"list"===c.ctype?g.turnIntoCSList(c.value.map(function(a){return g.turnIntoCSList([a])})):k};t.submatrix$3=function(a,h){var c=A(a[0]),b=A(a[1]),d=A(a[2]);if("list"===c.ctype&&"number"===b.ctype&&"number"===d.ctype){var e=Math.round(b.value.real),b=Math.round(d.value.real), +c=c.value.slice();0<b&&b<=c.length&&c.splice(b-1,1);var f=!0,c=c.map(function(a){if("list"!==a.ctype)f=!1;else return a=a.value.slice(),0<e&&e<=a.length&&a.splice(e-1,1),g.turnIntoCSList(a)});return f?g.turnIntoCSList(c):k}return k};t.complex$1=function(a,h){var c,b,d;d=B(a[0]);if("list"===d.ctype&&g.isNumberVector(d)){if(2===d.value.length)return c=d.value[0],b=d.value[1],l.complex(c.value.real-b.value.imag,b.value.real+c.value.imag);if(3===d.value.length)return c=d.value[0],b=d.value[1],d=d.value[2], +c=l.div(c,d),b=l.div(b,d),l.complex(c.value.real-b.value.imag,b.value.real+c.value.imag)}return k};t.gauss$1=function(a,h){var c=B(a[0]);return"number"===c.ctype?g.realVector([c.value.real,c.value.imag]):k};t.cross$2=Sc;t.crossratio$4=function(a,h){var c=A(a[0]),b=A(a[1]),d=A(a[2]),e=A(a[3]),f=M(c),m=M(b),n=M(d),p=M(e);return f!==k&&m!==k&&n!==k&&p!==k?g.crossratio3(f,m,n,p,g.ii):"number"===c.ctype&&"number"===b.ctype&&"number"===d.ctype&&"number"===e.ctype?l.div(l.mult(l.sub(c,d),l.sub(b,e)),l.mult(l.sub(c, +e),l.sub(b,d))):k};t.para$2=function(a,h){var c=B(a[0]),b=B(a[1]),d=M(c),e=M(b);if(c!==k&&b!==k){var b=b.usage,f=d,l=e;if("Line"===c.usage||"Point"===b)f=e,l=d;c=g.cross(g.cross(g.linfty,l),f);return w.withUsage(c,"Line")}return k};t.perp$2=function(a,h){var c=B(a[0]),b=B(a[1]),d=M(c),e=M(b);if(c!==k&&b!==k){var f=b.usage||e.usage,b=d,m=e;if("Line"===(c.usage||d.usage)||"Point"===f)b=e,m=d;c=g.turnIntoCSList([m.value[0],m.value[1],l.zero]);c=g.cross(c,b);return w.withUsage(c,"Line")}return k};t.perp$1= +function(a,h){var c=B(a[0]);return g._helper.isNumberVecN(c,2)?g.turnIntoCSList([l.neg(c.value[1]),c.value[0]]):k};t.parallel$2=t.para$2;t.perpendicular$2=t.perp$2;t.perpendicular$1=t.perp$1;t.meet$2=function(a,h){var c=M(a[0]),b=M(a[1]);return c!==k&&b!==k?(c=g.cross(c,b),w.withUsage(c,"Point")):k};t.join$2=function(a,h){var c=M(a[0]),b=M(a[1]);return c!==k&&b!==k?(c=g.cross(c,b),w.withUsage(c,"Line")):k};t.dist$2=function(a,h){var c=B(a[0]),b=B(a[1]),c=$b([c,b],[]);return t.abs$1([c],[])};t.dist_infix= +t.dist$2;t.point$1=function(a,h){var c=A(a[0]);return g._helper.isNumberVecN(c,3)||g._helper.isNumberVecN(c,2)?w.withUsage(c,"Point"):c};t.line$1=function(a,h){var c=A(a[0]);return g._helper.isNumberVecN(c,3)?w.withUsage(c,"Line"):c};t.det$3=function(a,h){var c=M(a[0]),b=M(a[1]),d=M(a[2]);if(c!==k&&b!==k&&d!==k)return g.det3(c,b,d)};t.det$1=function(a,h){var c=B(a[0]);if("list"===c.ctype){var b=g._helper.colNumb(c);if(-1!==b&&b===c.value.length)return g.det(c)}return k};t.eig$1=function(a,h){var c= +B(a[0]);if("list"===c.ctype){var b=g._helper.colNumb(c);if(-1!==b&&b===c.value.length)return g.eig(c)}return k};t.eigenvalues$1=function(a,h){var c=B(a[0]);if("list"===c.ctype){var b=g._helper.colNumb(c);if(-1!==b&&b===c.value.length)return g.eig(c,!1).value[0]}return k};t.rank$1=function(a,h){var c=B(a[0]);if("list"===c.ctype){var b=g._helper.colNumb(c);if(-1!==b&&b===c.value.length)return g.rank(c,h.precision)}return k};t.kernel$1=function(a,h){var c=B(a[0]);if("list"===c.ctype){var b=g._helper.colNumb(c); +if(-1!==b&&b===c.value.length)return c=g.nullSpace(c,h.precision),g.transpose(c)}return k};t.eigenvectors$1=function(a,h){var c=B(a[0]);if("list"===c.ctype){var b=g._helper.colNumb(c);if(-1!==b&&b===c.value.length)return g.eig(c).value[1]}return k};t.area$3=function(a,h){var c=M(a[0]),b=M(a[1]),d=M(a[2]);if(c!==k&&b!==k&&d!==k){var e=c.value[2],f=b.value[2],m=d.value[2];if(!l._helper.isAlmostZero(e)&&!l._helper.isAlmostZero(f)&&!l._helper.isAlmostZero(m))return c=g.scaldiv(e,c),b=g.scaldiv(f,b),d= +g.scaldiv(m,d),c=g.det3(c,b,d),l.realmult(.5,c)}return k};t.inverse$1=function(a,h){var c=B(a[0]);if("list"===c.ctype){var b=g._helper.colNumb(c);if(-1!==b&&b===c.value.length)return g.inverse(c)}return k};t.linearsolve$2=function(a,h){var c=B(a[0]),b=B(a[1]);if("list"===c.ctype){var d=g._helper.colNumb(c);if(-1!==d&&d===c.value.length&&g._helper.isNumberVecN(b,d))return g.linearsolve(c,b)}return k};var Ud=[[[]],[[0]],[[0,1],[1,0]],[[0,1,2],[0,2,1],[1,0,2],[1,2,0],[2,0,1],[2,1,0]],[[0,1,2,3],[0,1, +3,2],[0,2,1,3],[0,2,3,1],[0,3,1,2],[0,3,2,1],[1,0,2,3],[1,0,3,2],[1,2,0,3],[1,2,3,0],[1,3,0,2],[1,3,2,0],[2,0,1,3],[2,0,3,1],[2,1,0,3],[2,1,3,0],[2,3,0,1],[2,3,1,0],[3,0,1,2],[3,0,2,1],[3,1,0,2],[3,1,2,0],[3,2,0,1],[3,2,1,0]]];t.mincostmatching$1=function(a,h){var c=A(a[0]);if(g.isNumberMatrix(c).value){var b=c.value.length,d=g._helper.colNumb(c),e=b<d?d:b,f,m,n=Array(e);for(f=0;f<e;++f)for(n[f]=Array(e),m=0;m<e;++m)n[f][m]=f<b&&m<d?c.value[f].value[m].value.real:0;c=nc(n);e=Array(b);for(f=0;f<b;++f)m= +c[f],e[f]=m<d?l.real(m+1):l.real(0);return g.turnIntoCSList(e)}return k};t.take$2=oc;t.length$1=function(a,h){var c=A(a[0]);return"list"===c.ctype||"string"===c.ctype?l.real(c.value.length):k};t.pairs$1=function(a,h){var c=A(a[0]);return"list"===c.ctype?g.pairs(c):k};t.triples$1=function(a,h){var c=A(a[0]);return"list"===c.ctype?g.triples(c):k};t.cycle$1=function(a,h){var c=A(a[0]);return"list"===c.ctype?g.cycle(c):k};t.consecutive$1=function(a,h){var c=A(a[0]);return"list"===c.ctype?g.consecutive(c): +k};t.reverse$1=function(a,h){var c=A(a[0]);return"list"===c.ctype?g.reverse(c):k};t.directproduct$2=function(a,h){var c=A(a[0]),b=A(a[1]);return"list"===c.ctype&&"list"===b.ctype?g.directproduct(c,b):k};t.concat$2=Tc;t.common$2=Uc;t.remove$2=Vc;t.append$2=Wc;t.prepend$2=Xc;t.contains$2=function(a,h){var c=A(a[0]),b=A(a[1]);return"list"===c.ctype?g.contains(c,b):k};t.sort$2=function(a,h){return t.sort$3([a[0],null,a[1]],h)};t.sort$3=function(a,h){var c=B(a[0]);if("list"!==c.ctype)return k;var b="#"; +null!==a[1]&&"variable"===a[1].ctype&&(b=a[1].name);var c=c.value,d=[];J.newvar(b);var e;for(e=0;e<c.length;e++)J.setvar(b,c[e]),d[e]={val:c[e],result:A(a[2])};J.removevar(b);d.sort(w.compareResults);b=[];for(e=0;e<c.length;e++)b[e]=d[e].val;return{ctype:"list",value:b}};t.sort$1=function(a,h){var c=A(a[0]);return"list"===c.ctype?g.sort1(c):k};t.set$1=function(a,h){var c=A(a[0]);return"list"===c.ctype?g.set(c):k};t.combinations$2=function(a,h){function c(a,h){a===f?n.push(g.turnIntoCSList(m.slice())): +h<e&&(m[a]=b.value[h],c(a+1,h+1),c(a,h+1))}var b=A(a[0]),d=A(a[1]),e,f,m,n;if("number"===d.ctype){f=d.value.real|0;if("number"===b.ctype){e=b.value.real|0;e-f<f&&(f=e-f);if(0>f)return l.real(0);if(0===f)return l.real(1);if(1===f)return b;for(var p=d=1,q=1;q<=f;++q)var t=e-f+q|0,v=q|0,u=pc(t,v)|0,t=t/u|0,v=v/u|0,u=pc(d,v)|0,d=d/u|0,v=v/u|0,u=pc(t,p)|0,t=t/u|0,p=p/u|0,d=d*t|0,p=p*v|0;return l.real(d/p)}if("list"===b.ctype){e=b.value.length;if(0>f||f>e)return g.turnIntoCSList([]);if(0===f)return g.turnIntoCSList([g.turnIntoCSList([])]); 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c=A(a[0]),b=A(a[1]);return"dict"===c.ctype?Ka.get(c,b,k):k};t.red$1=function(a, +h){var c=A(a[0]);return"number"===c.ctype?g.realVector([Math.min(1,Math.max(0,c.value.real)),0,0]):k};t.green$1=function(a,h){var c=A(a[0]);return"number"===c.ctype?g.realVector([0,Math.min(1,Math.max(0,c.value.real)),0]):k};t.blue$1=function(a,h){var c=A(a[0]);return"number"===c.ctype?g.realVector([0,0,Math.min(1,Math.max(0,c.value.real))]):k};t.gray$1=function(a,h){var c=A(a[0]);return"number"===c.ctype?(c=Math.min(1,Math.max(0,c.value.real)),g.realVector([c,c,c])):k};t.grey$1=t.gray$1;D.HSVtoRGB= +function(a,h,c){var b,d,e,f,k,l;a&&void 0===h&&void 0===c&&(h=a.s,c=a.v,a=a.h);f=Math.floor(6*a);k=6*a-f;a=c*(1-h);l=c*(1-k*h);h=c*(1-(1-k)*h);switch(f%6){case 0:b=c;d=h;e=a;break;case 1:b=l;d=c;e=a;break;case 2:b=a;d=c;e=h;break;case 3:b=a;d=l;e=c;break;case 4:b=h;d=a;e=c;break;case 5:b=c,d=a,e=l}return g.realVector([b,d,e])};t.hue$1=function(a,h){var c=A(a[0]);return"number"===c.ctype?(c=c.value.real,c-=Math.floor(c),D.HSVtoRGB(c,1,1)):k};D.shapeconvert=function(a){var h,c;if("circle"===a.type){h= +a.value.value[0];h=w.div(h,h.value[2]);var b=h.value[0].value.real,d=h.value[1].value.real;a=a.value.value[1].value.real;c=Array(125);var e=2*Math.PI/125;for(h=0;125>h;h++)c[h]={X:b+Math.cos(h*e)*a,Y:d+Math.sin(h*e)*a};return[c]}if("polygon"===a.type){b=[];for(h=0;h<a.value.length;h++){d=a.value[h];c=[];for(e=0;e<d.length;e++)c[e]={X:d[e].X,Y:d[e].Y};b[h]=c}return b}};D.shapeop=function(a,h,c){a=D.shapeconvert(a);var b=D.shapeconvert(h);ClipperLib.JS.ScaleUpPaths(a,1E3);ClipperLib.JS.ScaleUpPaths(b, +1E3);h=new ClipperLib.Clipper;h.AddPaths(a,ClipperLib.PolyType.ptSubject,!0);h.AddPaths(b,ClipperLib.PolyType.ptClip,!0);var b=a=ClipperLib.PolyFillType.pftNonZero,d=new ClipperLib.Paths;h.Execute(c,d,a,b);ClipperLib.JS.ScaleDownPaths(d,1E3);return{ctype:"shape",type:"polygon",value:d}};D.shapecommon=function(a,h){return D.shapeop(a,h,ClipperLib.ClipType.ctIntersection)};D.shaperemove=function(a,h){return D.shapeop(a,h,ClipperLib.ClipType.ctDifference)};D.shapeconcat=function(a,h){return D.shapeop(a, +h,ClipperLib.ClipType.ctUnion)};t.key$0=function(a,h){return{ctype:"string",value:Qc}};t.keycode$0=function(a,h){return l.real(Rc)};t.mouse$0=function(a,h){return g.realVector([ta[0],ta[1]])};t.mover$0=function(a,h){if(fa&&fa.mover)return{ctype:"geo",value:fa.mover};console.log("Not moving anything at the moment");return k};t.translate$1=function(a,h){var c=B(a[0]);"list"===c.ctype&&g.isNumberVector(c)&&2===c.value.length&&z.translate(c.value[0].value.real,c.value[1].value.real);return k};t.rotate$1= +function(a,h){var c=B(a[0]);"number"===c.ctype&&z.rotate(c.value.real);return k};t.scale$1=function(a,h){var c=B(a[0]);"number"===c.ctype&&z.scale(c.value.real);return k};t.greset$0=function(a,h){var c=$a.stack.length;z.greset();for(var b=0;b<c;b++)y.restore();return k};t.gsave$0=function(a,h){z.gsave();y.save();return k};t.grestore$0=function(a,h){z.grestore();y.restore();return k};t.color$1=function(a,h){var c=B(a[0]);"list"===c.ctype&&g.isNumberVector(c).value&&z.setcolor(c);return k};t.linecolor$1= +function(a,h){var c=B(a[0]);"list"===c.ctype&&g.isNumberVector(c).value&&z.setlinecolor(c);return k};t.pointcolor$1=function(a,h){var c=B(a[0]);"list"===c.ctype&&g.isNumberVector(c).value&&z.setpointcolor(c);return k};t.alpha$1=function(a,h){var c=B(a[0]);"number"===c.ctype&&z.setalpha(c);return k};t.pointsize$1=function(a,h){var c=B(a[0]);"number"===c.ctype&&z.setpointsize(c);return k};t.linesize$1=function(a,h){var c=B(a[0]);"number"===c.ctype&&z.setlinesize(c);return k};t.textsize$1=function(a, +h){var c=B(a[0]);"number"===c.ctype&&z.settextsize(c);return k};t.playanimation$0=function(a,h){I();return k};t.pauseanimation$0=function(a,h){Ca();return k};t.stopanimation$0=function(a,h){Da();return k};t.text$1=function(a,h){var c=B(a[0]);return w.string(ba(c))};t.replace$3=function(a,h){var c=A(a[0]),b=A(a[1]),d=A(a[2]);if("string"===c.ctype&&"string"===b.ctype&&"string"===d.ctype)return c=c.value,b=b.value.replace(/[^A-Za-z0-9]/g,"\\$&"),d=d.value.replace(/\$/g,"$$$$"),c=c.replace(new RegExp(b, +"g"),d),{ctype:"string",value:c}};t.replace$2=function(a,h){function c(a,c,h){var e="";d=b=-1;for(var g=0;g<c.length;g++){var f=c[g][0],k=a.indexOf(f,h);-1!==k&&(-1===b?(e=f,b=k,d=g):k<b&&(e=f,b=k,d=g))}return e}var b,d,e,g=A(a[0]);e=A(a[1]);if("string"===g.ctype&&"list"===e.ctype){for(var g=g.value,f=[],l=0;l<e.value.length;l++){var m=e.value[l];"list"===m.ctype&&2===m.value.length&&"string"===m.value[0].ctype&&"string"===m.value[1].ctype&&(f[f.length]=[m.value[0].value,m.value[1].value])}b=-1;for(e= +c(g,f,0);-1!==b;)g=g.substring(0,b)+f[d][1]+g.substring(b+e.length,g.length),e=b+f[d][1].length,e=c(g,f,e);return{ctype:"string",value:g}}return k};t.substring$3=function(a,h){var c=A(a[0]),b=B(a[1]),d=B(a[2]);return"string"===c.ctype&&"number"===b.ctype&&"number"===d.ctype?{ctype:"string",value:c.value.substring(Math.floor(b.value.real),Math.floor(d.value.real))}:k};t.tokenize$2=function(a,h){var c=A(a[0]),b=A(a[1]);if("string"===c.ctype&&"string"===b.ctype)return t.tokenize$2([c,g.turnIntoCSList([b])], +h);if("string"===c.ctype&&"list"===b.ctype){c=c.value;if(0===b.value.length){b=!0;if(void 0!==h.autoconvert){var d=A(h.autoconvert);"boolean"===d.ctype&&(b=d.value)}return b&&""!==c&&(b=Number(c),!isNaN(b))?l.real(b):w.string(c)}var d=b.value[0],e=g.turnIntoCSList(b.value.slice(1)),c=c.split(d.value);return g.turnIntoCSList(c.map(function(a){return t.tokenize$2([w.string(a),e],h)}))}return k};t.indexof$2=function(a,h){var c=A(a[0]),b=A(a[1]);return"string"===c.ctype&&"string"===b.ctype?(c=c.value.indexOf(b.value), +l.real(c+1)):k};t.indexof$3=function(a,h){var c=A(a[0]),b=A(a[1]),d=A(a[2]);return"string"===c.ctype&&"string"===b.ctype&&"number"===d.ctype?(c=c.value.indexOf(b.value,Math.round(d.value.real)-1),l.real(c+1)):k};t.parse$1=function(a,h){var c=A(a[0]);return"string"===c.ctype?(c=Ra(c.value),A(c)):k};t.unicode$1=function(a,h){var c;c=A(a[0]);var b=16;if(h.base){var d=A(h.base);"number"===d.ctype&&(b=d.value.real)}if("string"===c.ctype)c=parseInt(c.value,b);else if("number"===c.ctype)c=c.value.real;else return k; +"undefined"!==typeof String.fromCodePoint?c=String.fromCodePoint(c):65535>=c?c=String.fromCharCode(c):(c-=65536,c=String.fromCharCode((c>>10)+55296,(c&1023)+56320));return w.string(c)};t.international$1=function(a,h){return t.international$2([a[0],null],h)};t.international$2=function(a,h){var c=A(a[0]);if("string"!==c.ctype)return k;var b=(p.translations||{})[p.language||"en"]||{};if(!b.hasOwnProperty(c.value))return c;var d=b[c.value];if("string"===typeof d)return w.string(d);if(null===a[1])return c; +var e=A(a[1]),e="number"===e.ctype?e.value.real:0,b=(b._pluralFormFunction||Vd)(e);return b<d.length?w.string(d[b]):c};t.currentlanguage$0=function(a,h){return w.string(p.language||"en")};D.basismap=function(a,h,c,b){var d=g.turnIntoCSList([a,h,c]),d=g.adjoint3(g.transpose(d));b=w.mult(d,b);d=g.turnIntoCSList([w.mult(b.value[0],a),w.mult(b.value[1],h),w.mult(b.value[2],c)]);return g.transpose(d)};t.map$8=function(a,h){var c=M(a[0]),b=M(a[1]),d=M(a[2]),e=M(a[3]),f=M(a[4]),l=M(a[5]),m=M(a[6]),n=M(a[7]); +return f!==k&&l!==k&&m!==k&&n!==k&&c!==k&&b!==k&&d!==k&&e!==k?(f=D.basismap(f,l,m,n),c=D.basismap(c,b,d,e),c=w.mult(f,g.adjoint3(c)),g.normalizeMax(c)):k};t.map$6=function(a,h){var c=M(a[0]),b=M(a[1]),d=M(a[2]),e=g.realVector([0,0,1]),f=g.cross,l=f(f(d,f(e,f(c,b))),f(b,f(e,f(c,d)))),m=M(a[3]),n=M(a[4]),p=M(a[5]),e=f(f(p,f(e,f(m,n))),f(n,f(e,f(m,p))));return m!==k&&n!==k&&p!==k&&e!==k&&c!==k&&b!==k&&d!==k&&l!==k?(m=D.basismap(m,n,p,e),c=D.basismap(c,b,d,l),c=w.mult(m,g.adjoint3(c)),g.normalizeMax(c)): +k};t.map$4=function(a,h){var c=g.ii,b=g.jj,d=M(a[0]),e=M(a[1]),f=M(a[2]),l=M(a[3]);return f!==k&&l!==k&&d!==k&&e!==k?(f=D.basismap(f,l,c,b),c=D.basismap(d,e,c,b),c=w.mult(f,g.adjoint3(c)),g.normalizeMax(c)):k};t.map$2=function(a,h){var c=g.ii,b=g.jj,d=M(a[0]),e=w.add(g.realVector([1,0,0]),d),f=M(a[1]),l=w.add(g.realVector([1,0,0]),f);return f!==k&&l!==k&&d!==k&&e!==k?(f=D.basismap(f,l,c,b),c=D.basismap(d,e,c,b),c=w.mult(f,g.adjoint3(c)),g.normalizeMax(c)):k};t.pointreflect$1=function(a,h){var c=g.ii, +b=g.jj,d=M(a[0]),e=w.add(g.realVector([1,0,0]),d),f=w.add(g.realVector([-1,0,0]),d);return f!==k&&d!==k&&e!==k?(f=D.basismap(d,f,c,b),c=D.basismap(d,e,c,b),c=w.mult(f,g.adjoint3(c)),g.normalizeMax(c)):k};t.linereflect$1=function(a,h){var 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Z(3)};m.HorizontalLine.putParamToState=function(a,b){T(b)};m.HorizontalLine.updatePosition=function(a){var b= +Z(3);T(b);a.homog=w.withUsage(b,"Line")};m.HorizontalLine.stateSize=6;m.Vertical={};m.Vertical.kind="L";m.Vertical.signature=["P"];m.Vertical.updatePosition=function(a){a.homog=g.cross(g.ey,u.csnames[a.args[0]].homog);a.homog=g.normalizeMax(a.homog);a.homog=w.withUsage(a.homog,"Line")};m.VerticalLine={};m.VerticalLine.kind="L";m.VerticalLine.signature=[];m.VerticalLine.isMovable=!0;m.VerticalLine.initialize=function(a){a=m._helper.initializeLine(a);a=g.turnIntoCSList([a.value[0],l.zero,a.value[2]]); +a=g.normalizeMax(a);T(a)};m.VerticalLine.getParamForInput=function(a,b,c){if("mouse"===c)b=g.cross(b,g.ey);else if("homog"===c){if(0!==b.value[1].real||0!==b.value[1].imag)b=g.turnIntoCSList([b.value[0],l.zero,b.value[2]])}else b=g.turnIntoCSList([l.zero,l.zero,l.zero]);return g.normalizeMax(b)};m.VerticalLine.getParamFromState=function(a){return Z(3)};m.VerticalLine.putParamToState=function(a,b){T(b)};m.VerticalLine.updatePosition=function(a){var b=Z(3);T(b);a.homog=w.withUsage(b,"Line")};m.VerticalLine.stateSize= +6;m.LineByFixedAngle={};m.LineByFixedAngle.kind="L";m.LineByFixedAngle.signature=["L","P"];m.LineByFixedAngle.initialize=function(a){var b=l._helper.input(a.angle),c=l.cos(b),b=l.sin(b);a.rot=g.turnIntoCSList([g.turnIntoCSList([b,c,l.zero]),g.turnIntoCSList([l.neg(c),b,l.zero]),g.turnIntoCSList([l.zero,l.zero,l.zero])])};m.LineByFixedAngle.updatePosition=function(a){var b=u.csnames[a.args[1]],c=g.productMV(a.rot,u.csnames[a.args[0]].homog);a.homog=g.cross(b.homog,c);a.homog=g.normalizeMax(a.homog); 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c=g.turnIntoCSList([l.real(1),b,l.real(0)]);Ia(a,c,"dir")}};m.Free={};m.Free.kind="P";m.Free.signature=[];m.Free.isMovable= +!0;m.Free.initialize=function(a){a=m._helper.initializePoint(a);T(a)};m.Free.getParamForInput=function(a,b,c){if("mouse"===c&&cc&&0!==Wa){b=g.normalizeZ(b);a=b.value[0].value.real;c=b.value[1].value.real;var d=Math.round(a/Wa)*Wa,e=Math.round(c/Wa)*Wa;.2>Math.abs(d-a)&&.2>Math.abs(e-c)&&(b=g.realVector([d,e,1]))}return g.normalizeMax(b)};m.Free.getParamFromState=function(a){return Z(3)};m.Free.putParamToState=function(a,b){T(b)};m.Free.updatePosition=function(a){var b=Z(3);T(b);a.homog=w.withUsage(b, +"Point")};m.Free.stateSize=6;m._helper.projectPointToLine=function(a,b){var c=g.turnIntoCSList([b.value[0],b.value[1],l.zero]),c=g.cross(c,a);return g.normalizeMax(g.cross(c,b))};m.PointOnLine={};m.PointOnLine.kind="P";m.PointOnLine.signature=["L"];m.PointOnLine.isMovable=!0;m.PointOnLine.initialize=function(a){var b=m._helper.initializePoint(a);a=u.csnames[a.args[0]].homog;var b=m._helper.projectPointToLine(b,a),b=g.normalizeMax(b),c=g.cross(g.linfty,b);g.normalizeMax(c);T(b);T(a);fb=!1};m.PointOnLine.updatePosition= +function(a,b){var c,d=u.csnames[a.args[0]].homog;c=Z(3);Z(3);if(!b){va=a.stateIdx;var e=ma;ma=za;var f=Z(3),l=Z(3);ma=e;e=g.cross(l,d);g._helper.isAlmostZero(e)&&(e=g.cross(g.linfty,d));f=m._helper.CircleMP(e,f);f=m._helper.IntersectLC(d,f);e=m._helper.pointReflection(e,c);c=Ad(f[0],f[1],c,e)[0]}c=g.normalizeMax(c);T(c);T(d);a.homog=w.withUsage(c,"Point")};m.PointOnLine.getParamForInput=function(a,b,c){return b=m._helper.projectPointToLine(b,u.csnames[a.args[0]].homog)};m.PointOnLine.getParamFromState= +function(a){return Z(3)};m.PointOnLine.putParamToState=function(a,b){return T(b)};m.PointOnLine.stateSize=12;m.PointOnCircle={};m.PointOnCircle.kind="P";m.PointOnCircle.signature=["C"];m.PointOnCircle.isMovable=!0;m.PointOnCircle.initialize=function(a){var b=u.csnames[a.args[0]];a=g.normalizeZ(m._helper.initializePoint(a));var c=g.normalizeZ(m._helper.CenterOfCircle(b.matrix)),d=g.sub(a,c),d=g.turnIntoCSList([d.value[1],l.neg(d.value[0]),l.zero]),c=g.cross(a,c),b=m._helper.IntersectLC(c,b.matrix), +c=g.projectiveDistMinScal(a,b[0]);g.projectiveDistMinScal(a,b[1])<c?(a=b[1],b=b[0]):(a=b[0],b=b[1]);T(d);T(a);T(b);fb=!1};m.PointOnCircle.putParamToState=function(a,b){T(b)};m.PointOnCircle.getParamFromState=function(a){return Z(3)};m.PointOnCircle.getParamForInput=function(a,b,c){c=g.normalizeZ(m._helper.CenterOfCircle(u.csnames[a.args[0]].matrix));b=g.sub(b,c);va=a.stateIdx;a=Z(3);var d=g.normalizeZ(Z(3));c=g.sub(d,c);0>l.sub(l.mult(a.value[0],c.value[1]),l.mult(a.value[1],c.value[0])).value.real&& +(b=g.neg(b));return g.turnIntoCSList([b.value[1],l.neg(b.value[0]),l.zero])};m.PointOnCircle.parameterPath=function(a,b,c,d,e){d=g.normalizeAbs(d);e=g.normalizeAbs(e);var f=g.scalproduct(d,e);if(0<=f.value.real)return xd(a,b,c,d,e);a=g.turnIntoCSList([l.sub(d.value[1],e.value[1]),l.sub(e.value[0],d.value[0]),l.zero]);f=g.scalproduct(d,a);0>f.value.real&&(a=g.neg(a));0>b?(b=2*b+1,c=b*b,f=.25/(1+c),c=l.complex(2*b*f+.25,(1-c)*f)):(b=2*b-1,c=b*b,f=.25/(1+c),c=l.complex(2*b*f+.75,(1-c)*f));var k=l.sub(l.real(1), +c);b=l.mult(c,c);f=l.mult(k,k);c=l.mult(c,k);d=g.scalmult(f,d);d=g.add(d,g.scalmult(c,a));return d=g.add(d,g.scalmult(b,e))};m.PointOnCircle.updatePosition=function(a){var b=Z(3);T(b);var c=u.csnames[a.args[0]],b=g.productMV(c.matrix,b),c=m._helper.IntersectLC(b,c.matrix),c=Na(c[0],c[1]),b=g.normalizeMax(c.value[0]);a.homog=w.withUsage(b,"Point");a.antipodalPoint=c.value[1]};m.PointOnCircle.stateSize=6+Na.stateSize;m.OtherPointOnCircle={};m.OtherPointOnCircle.kind="P";m.OtherPointOnCircle.signature= +["P"];m.OtherPointOnCircle.signatureConstraints=function(a){return"PointOnCircle"===u.csnames[a.args[0]].type};m.OtherPointOnCircle.updatePosition=function(a){var b=u.csnames[a.args[0]].antipodalPoint,b=g.normalizeMax(b);a.homog=w.withUsage(b,"Point")};m.PointOnSegment={};m.PointOnSegment.kind="P";m.PointOnSegment.signature=["S"];m.PointOnSegment.isMovable=!0;m.PointOnSegment.initialize=function(a){var b=m._helper.initializePoint(a);a=m.PointOnSegment.getParamForInput(a,b);Va(a)};m.PointOnSegment.getParamForInput= +function(a,b){var c=u.csnames[a.args[0]],d=c.homog,d=g.turnIntoCSList([d.value[0],d.value[1],l.zero]),e=g.sub(c.startpos,c.endpos),c=g.crossratio3(e,c.startpos,c.endpos,b,d);0>c.value.real&&(c=l.complex(0,c.value.imag));1<c.value.real&&(c=l.complex(1,c.value.imag));return c};m.PointOnSegment.getParamFromState=function(a){return wb()};m.PointOnSegment.putParamToState=function(a,b){Va(b)};m.PointOnSegment.updatePosition=function(a){var b=wb();Va(b);var c=u.csnames[a.args[0]],d=c.startpos,c=g.sub(c.endpos, 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c};m.PointOnArc.getParamFromState=function(a){return Z(2)}; +m.PointOnArc.putParamToState=function(a,b){T(b)};m.PointOnArc.updatePosition=function(a){var b=u.csnames[a.args[0]],c=b.startPoint,d=b.viaPoint,e=b.endPoint,f=g.ii,k=g.cross(c,f),d=g.cross(d,f),n=g.cross(e,f),n=g.turnIntoCSList([k,n]),k=g.transpose(n),n=g.conjugate(n),k=g.productMM(n,k),d=g.productMV(n,d),k=g.productMV(g.adjoint2(k),d),d=k.value[0],k=k.value[1],n=Z(2);T(n);c=g.normalizeMax(g.add(g.scalmult(l.mult(d,n.value[0]),c),g.scalmult(l.mult(k,n.value[1]),e)));b=m._helper.conicOtherIntersection(b.matrix, +f,c);a.homog=w.withUsage(b,"Point")};m.PointOnArc.stateSize=4;m._helper.CenterOfCircle=function(a){return g.turnIntoCSList([a.value[2].value[0],a.value[2].value[1],l.neg(a.value[0].value[0])])};m._helper.CenterOfConic=function(a){a=g.adjoint3(a);return{ctype:"list",value:[a.value[2].value[0],a.value[2].value[1],a.value[2].value[2]]}};m.CenterOfConic={};m.CenterOfConic.kind="P";m.CenterOfConic.signature=["C"];m.CenterOfConic.updatePosition=function(a){var b=m._helper.CenterOfConic(u.csnames[a.args[0]].matrix); +a.homog=b;a.homog=g.normalizeMax(a.homog);a.homog=w.withUsage(a.homog,"Point")};m._helper.CircleMP=function(a,b){var c=a.value[0],d=a.value[1],e=l.neg(a.value[2]),f=l.zero,c=g.turnIntoCSList([g.turnIntoCSList([e,f,c]),g.turnIntoCSList([f,e,d]),g.turnIntoCSList([c,d,f])]),e=w.mult(w.mult(b,c),b),d=w.mult(w.mult(b,g.fund),b),e=w.mult(e,g.fund),c=w.mult(d,c);return g.sub(e,c)};m.CircleMP={};m.CircleMP.kind="C";m.CircleMP.signature=["P","P"];m.CircleMP.updatePosition=function(a){a.matrix=m._helper.CircleMP(u.csnames[a.args[0]].homog, +u.csnames[a.args[1]].homog);a.matrix=g.normalizeMax(a.matrix);a.matrix=w.withUsage(a.matrix,"Circle")};m.CircleMr={};m.CircleMr.kind="C";m.CircleMr.signature=["P"];m.CircleMr.isMovable=!0;m.CircleMr.initialize=function(a){Va(l.real(a.radius))};m.CircleMr.getParamForInput=function(a,b,c){if("radius"===c)return b;a=u.csnames[a.args[0]].homog;a=g.normalizeZ(a);b=g.normalizeZ(b);b=g.sub(a,b);return b=g.abs(b)};m.CircleMr.getParamFromState=function(a){return wb()};m.CircleMr.putParamToState=function(a, +b){Va(b)};m.CircleMr.updatePosition=function(a){var b=wb();Va(b);var c=u.csnames[a.args[0]].homog,d=l.mult(c.value[2],b),d=l.mult(d,d);if(!l._helper.isFinite(d)&&!l._helper.isNaN(d))return g.fund;c=m._helper.ScaledCircleMrr(c,d);a.matrix=w.withUsage(c,"Circle");a.radius=b};m.CircleMr.stateSize=2;m.CircleMr.set_radius=function(a,b){"number"===b.ctype&&Ia(a,b,"radius")};m._helper.ScaledCircleMrr=function(a,b){var c=a.value[0],d=a.value[1],e=l.neg(a.value[2]),e=g.scalmult(e,g.turnIntoCSList([c,d,e])).value, +c=g.turnIntoCSList([c,d]),c=l.sub(g.scalproduct(c,c),b),e=m._helper.buildConicMatrix([e[2],l.zero,e[2],e[0],e[1],c]);return g.normalizeMax(e)};m.Compass={};m.Compass.kind="C";m.Compass.signature=["P","P","P"];m.Compass.updatePosition=function(a){var b=u.csnames[a.args[0]].homog,c=u.csnames[a.args[1]].homog,d=u.csnames[a.args[2]].homog,e=b.value[2],f=c.value[2],k=d.value[2],b=g.scalmult(l.mult(f,k),b),c=g.scalmult(l.mult(e,k),c),d=g.scalmult(l.mult(e,f),d),b=g.sub(c,b),d=m._helper.ScaledCircleMrr(d, +g.scalproduct(b,b));a.matrix=w.withUsage(d,"Circle")};m._helper.getConicType=function(a){if(1E-16>l.abs(g.det(a)).value.real)return"degenerate";var b=l.mult(a.value[0].value[0],a.value[1].value[1]),b=l.sub(b,l.pow(a.value[0].value[1],l.real(2))),b=b.value.real;return 1E-16>Math.abs(b)?"parabola":1E-16<b?"ellipsoid":"hyperbola"};m._helper.ConicBy5=function(a,b,c,d,e,f){a=g.turnIntoCSList([g.cross(c,d)]);var k=g.turnIntoCSList([g.cross(b,e)]);b=g.turnIntoCSList([g.cross(b,c)]);d=g.turnIntoCSList([g.cross(d, +e)]);return m._helper.conicFromTwoDegenerates(a,k,b,d,f)};m._helper.conicFromTwoDegenerates=function(a,b,c,d,e){a=w.mult(g.transpose(b),a);c=w.mult(g.transpose(d),c);a=g.add(a,g.transpose(a));c=g.add(c,g.transpose(c));d=w.mult(w.mult(e,a),e);e=w.mult(w.mult(e,c),e);c=w.mult(d,c);e=w.mult(e,a);return g.sub(c,e)};m.ConicBy5={};m.ConicBy5.kind="C";m.ConicBy5.signature=["P","P","P","P","P"];m.ConicBy5.updatePosition=function(a){var b=m._helper.ConicBy5(a,u.csnames[a.args[0]].homog,u.csnames[a.args[1]].homog, +u.csnames[a.args[2]].homog,u.csnames[a.args[3]].homog,u.csnames[a.args[4]].homog);a.matrix=b;a.matrix=g.normalizeMax(a.matrix);a.matrix=w.withUsage(a.matrix,"Conic")};m.FreeConic={};m.FreeConic.kind="C";m.FreeConic.signature=[];m.FreeConic.initialize=function(a){var b;b=a.pos?m._helper.inputConic(a.pos):g.zeromatrix(l.real(3),l.real(3));m.FreeConic.putParamToState(a,b)};m.FreeConic.getParamForInput=function(a,b,c){return g.normalizeMax(b)};m.FreeConic.getParamFromState=function(a){return m._helper.buildConicMatrix(Z(6).value)}; +m.FreeConic.putParamToState=function(a,b){for(var c=0;3>c;++c)for(var d=0;d<=c;++d)Va(b.value[c].value[d])};m.FreeConic.updatePosition=function(a){var b=Z(6);T(b);a.matrix=m._helper.buildConicMatrix(b.value);a.matrix=g.normalizeMax(a.matrix);a.matrix=w.withUsage(a.matrix,"Conic")};m.FreeConic.set_matrix=function(a,b){g._helper.isNumberMatrixMN(b,3,3)&&Ia(a,g.add(b,g.transpose(b)),"matrix")};m.FreeConic.stateSize=12;m._helper.buildConicMatrix=function(a){var b=a[1],c=a[2],d=a[3],e=a[4],f=a[5];return g.turnIntoCSList([g.turnIntoCSList([a[0], +b,d]),g.turnIntoCSList([b,c,e]),g.turnIntoCSList([d,e,f])])};m._helper.splitDegenConic=function(a){var b=g.adjoint3(a),c=0,d,e,f=l.abs2(b.value[0].value[0]).value.real;for(d=1;3>d;d++)e=l.abs2(b.value[d].value[d]).value.real,e>f&&(c=d,f=e);d=l.sqrt(l.mult(l.real(-1),b.value[c].value[c]));if(1E-16>l.abs2(d).value.real)return a=g.turnIntoCSList([l.zero,l.zero,l.zero]),[a,a];c=l.real(c+1);e=g.column(b,c);e=g.scaldiv(d,e);d=e.value[0];f=e.value[1];e=e.value[2];d=g.turnIntoCSList([g.turnIntoCSList([l.real(0), +e,l.mult(l.real(-1),f)]),g.turnIntoCSList([l.mult(l.real(-1),e),l.real(0),d]),g.turnIntoCSList([f,l.mult(l.real(-1),d),l.real(0)])]);a=g.add(a,d);var k=0;for(d=f=b=0;3>d;d++)for(c=0;3>c;c++)e=l.abs2(a.value[d].value[c]).value.real,e>f&&(k=d,b=c,f=e);d=a.value[k];a=g.transpose(a);a=a.value[b];d=g.normalizeMax(d);a=g.normalizeMax(a);d=w.withUsage(d,"Line");a=w.withUsage(a,"Line");return[d,a]};m._helper.inputConic=function(a){var b="xx xy yy xz yz zz".split(" ").map(function(b){var d=l._helper.input(a[b]); +b[0]!==b[1]&&(d=l.realmult(.5,d));return d});return m._helper.buildConicMatrix(b)};m.SelectConic={};m.SelectConic.kind="C";m.SelectConic.signature=["Cs"];m.SelectConic.initialize=function(a){if(void 0!==a.index)return a.index-1;var b=m._helper.inputConic(a.pos);a=u.csnames[a.args[0]].results;for(var c=g.conicDist(b,a[0]),d=0,e=1;e<a.length;++e){var f=g.conicDist(b,a[e]);f<c&&(c=f,d=e)}return d};m.SelectConic.updatePosition=function(a){a.matrix=u.csnames[a.args[0]].results[a.param];a.matrix=g.normalizeMax(a.matrix); +a.matrix=w.withUsage(a.matrix,"Conic")};m._helper.ConicBy4p1l=function(a,b,c,d,e,f){var k=g.scalproduct(b,f),n=g.scalproduct(c,f),p=g.scalproduct(d,f),q=g.scalproduct(e,f),t=g.det3(c,d,e),u=g.det3(b,c,e),v=g.det3(b,d,e),w=g.det3(b,c,d),x=l.mult,n=l.sqrt(x(x(n,q),x(t,u))),k=l.sqrt(x(x(k,p),x(v,w))),p=g.cross(g.cross(b,d),f);f=g.cross(g.cross(c,e),f);p=g.scalmult(n,p);k=g.scalmult(k,f);f=g.normalizeMax(g.add(p,k));k=g.normalizeMax(g.sub(p,k));k=Na(f,k);f=m._helper.ConicBy5(a,b,c,d,e,k.value[0]);a=m._helper.ConicBy5(a, +b,c,d,e,k.value[1]);return[g.normalizeMax(f),g.normalizeMax(a)]};m.ConicBy4p1l={};m.ConicBy4p1l.kind="Cs";m.ConicBy4p1l.signature=["P","P","P","P","L"];m.ConicBy4p1l.updatePosition=function(a){var b=m._helper.ConicBy4p1l(a,u.csnames[a.args[0]].homog,u.csnames[a.args[1]].homog,u.csnames[a.args[2]].homog,u.csnames[a.args[3]].homog,u.csnames[a.args[4]].homog);a.results=b};m.ConicBy4p1l.stateSize=Na.stateSize;m._helper.ConicBy3p2l=function(a,b,c,d,e){function f(a,b,c,d){return l.sub(l.mult(a,d),l.mult(b, +c))}var k=g.cross(a,b),m=g.cross(d,e);d=g.cross(d,k);e=g.cross(e,k);k=g.turnIntoCSList([d,e,m]);c=g.productVM(c,g.adjoint3(k));m=g.adjoint3(g.turnIntoCSList([g.scalmult(c.value[0],d),g.scalmult(c.value[1],e),g.scalmult(c.value[2],m)]));c=g.transpose(m);d=l.mult;e=g.productMV(c,a);a=e.value[0];e=e.value[1];k=g.productMV(c,b);b=k.value[0];var k=k.value[1],n=l.sqrt(d(a,e)),p=l.sqrt(d(b,k)),q,t=Array(4);for(q=0;4>q;++q){var u=(q&2)-1,v=d(l.real(((q&1)<<1)-1),n),w=d(l.real(u),p),x=f(e,v,k,w),y=f(b,w,a, +v),u=f(a,e,b,k),z=l.add(l.add(f(b,k,a,e),f(k,w,e,v)),f(w,b,v,a)),v=d(x,x),w=d(y,y),A=d(z,z),B=d(x,y),x=d(x,z),y=d(y,z),B=l.sub(B,d(l.real(.5),d(u,u))),u=g.turnIntoCSList([g.turnIntoCSList([v,B,x]),g.turnIntoCSList([B,w,y]),g.turnIntoCSList([x,y,A])]),u=g.productMM(m,g.productMM(u,c)),u=g.turnIntoCSList([u.value[0].value[0],u.value[0].value[1],u.value[0].value[2],u.value[1].value[1],u.value[1].value[2],u.value[2].value[2]]);t[q]=u}return t};m.ConicBy3p2l={};m.ConicBy3p2l.kind="Cs";m.ConicBy3p2l.signature= +["P","P","P","L","L"];m.ConicBy3p2l.updatePosition=function(a){for(var b=m._helper.ConicBy3p2l(u.csnames[a.args[0]].homog,u.csnames[a.args[1]].homog,u.csnames[a.args[2]].homog,u.csnames[a.args[3]].homog,u.csnames[a.args[4]].homog),b=Bd(b),c=Array(4),d=0;4>d;++d){var e=b[d].value;c[d]=g.turnIntoCSList([g.turnIntoCSList([e[0],e[1],e[2]]),g.turnIntoCSList([e[1],e[3],e[4]]),g.turnIntoCSList([e[2],e[4],e[5]])])}a.results=c};m.ConicBy3p2l.stateSize=48;m.ConicBy2p3l={};m.ConicBy2p3l.kind="Cs";m.ConicBy2p3l.signature= +["P","P","L","L","L"];m.ConicBy2p3l.updatePosition=function(a){for(var b=m._helper.ConicBy3p2l(u.csnames[a.args[2]].homog,u.csnames[a.args[3]].homog,u.csnames[a.args[4]].homog,u.csnames[a.args[0]].homog,u.csnames[a.args[1]].homog),b=Bd(b),c=Array(4),d=0;4>d;++d){var e=b[d].value,e=g.turnIntoCSList([g.turnIntoCSList([e[0],e[1],e[2]]),g.turnIntoCSList([e[1],e[3],e[4]]),g.turnIntoCSList([e[2],e[4],e[5]])]);c[d]=g.normalizeMax(g.adjoint3(e))}a.results=c};m.ConicBy2p3l.stateSize=48;m.ConicBy1p4l={};m.ConicBy1p4l.kind= +"Cs";m.ConicBy1p4l.signature=["P","L","L","L","L"];m.ConicBy1p4l.updatePosition=function(a){var b=m._helper.ConicBy4p1l(a,u.csnames[a.args[1]].homog,u.csnames[a.args[2]].homog,u.csnames[a.args[3]].homog,u.csnames[a.args[4]].homog,u.csnames[a.args[0]].homog),c=b[0],b=b[1],c=g.adjoint3(c),b=g.adjoint3(b),b=[c,b];a.results=b};m.ConicBy1p4l.stateSize=Na.stateSize;m.ConicParabolaPL={};m.ConicParabolaPL.kind="C";m.ConicParabolaPL.signature=["P","L"];m.ConicParabolaPL.updatePosition=function(a){var b=u.csnames[a.args[0]].homog.value, +c=u.csnames[a.args[1]].homog.value,d=l.mult,e=l.neg,f=l.add,k=l.sub,n=b[0],p=b[1],q=b[2],t=c[0],b=c[1],c=c[2],v=d(q,q),x=d(t,t),y=d(b,b),z=d(q,c),A=e(q),q=f(x,y),y=d(v,y),x=d(v,x),e=d(e(v),d(t,b)),t=d(A,f(d(n,q),d(z,t))),b=d(A,f(d(p,q),d(z,b))),d=k(d(f(d(n,n),d(p,p)),q),d(v,d(c,c))),d=m._helper.buildConicMatrix([y,e,x,t,b,d]),d=g.normalizeMax(d);a.matrix=w.withUsage(d,"Conic")};m.ConicBy2Foci1P={};m.ConicBy2Foci1P.kind="Cs";m.ConicBy2Foci1P.signature=["P","P","P"];m.ConicBy2Foci1P.updatePosition= +function(a){var b=u.csnames[a.args[0]].homog,c=u.csnames[a.args[1]].homog,d=u.csnames[a.args[2]].homog,e=g.ii,f=g.jj,k=g.normalizeMax(g.cross(b,d)),n=g.normalizeMax(g.cross(c,d)),p=g.normalizeMax(g.cross(d,e)),d=g.normalizeMax(g.cross(d,f)),n=m._helper.coHarmonic(p,d,k,n),k=g.normalizeMax(n[0]),n=g.normalizeMax(n[1]),e=g.turnIntoCSList([e]),p=g.turnIntoCSList([f]),d=g.turnIntoCSList([b]),q=g.turnIntoCSList([c]),f=m._helper.conicFromTwoDegenerates(e,p,d,q,k),f=g.normalizeMax(f),e=m._helper.conicFromTwoDegenerates(e, +p,d,q,n),e=g.normalizeMax(e),f=g.normalizeMax(g.adjoint3(f)),e=g.normalizeMax(g.adjoint3(e));"ellipsoid"!==m._helper.getConicType(f)&&(k=f,f=e,e=k);g.almostequals(b,c).value&&(b=l.real(3),e=g.zeromatrix(b,b));a.results=[f,e]};m.ConicBy2Pol1P={};m.ConicBy2Pol1P.kind="C";m.ConicBy2Pol1P.signature=["P","L","P","L","P"];m.ConicBy2Pol1P.updatePosition=function(a){var b=u.csnames[a.args[0]].homog,c=u.csnames[a.args[1]].homog,d=u.csnames[a.args[2]].homog,e=u.csnames[a.args[3]].homog,f=u.csnames[a.args[4]].homog, +k=g.scalproduct,m=g.scalmult,n=g.sub,p=g.productMM,q=l.realmult,t=g.transpose,v=g.turnIntoCSList,x=n(m(k(c,b),f),m(q(2,k(c,f)),b)),y=n(m(k(e,d),f),m(q(2,k(e,f)),d)),z=v([g.cross(b,f)]),f=v([g.cross(d,f)]),y=p(t(z),v([g.cross(b,y)])),v=p(t(f),v([g.cross(d,x)])),p=p(t(z),f),b=k(b,e),c=k(d,c),d=g.add(m(c,y),m(b,v)),d=n(d,m(q(2,l.mult(b,c)),p)),d=g.add(d,t(d)),d=g.normalizeMax(d),d=w.withUsage(d,"Conic");a.matrix=d};m.ConicBy2Pol1L={};m.ConicBy2Pol1L.kind="C";m.ConicBy2Pol1L.signature=["P","L","P","L", +"L"];m.ConicBy2Pol1L.updatePosition=function(a){var b=u.csnames[a.args[0]].homog,c=u.csnames[a.args[1]].homog,d=u.csnames[a.args[2]].homog,e=u.csnames[a.args[3]].homog,f=u.csnames[a.args[4]].homog,k=g.scalproduct,m=g.scalmult,n=g.productMM,p=l.mult,q=g.transpose,t=g.turnIntoCSList,v=k(c,b),x=k(c,d),y=k(e,b),z=k(e,d),A=k(f,b),k=k(f,d),B=t([g.sub(m(p(y,k),c),m(p(x,A),e))]),b=g.add(n(q(t([m(p(y,x),f)])),t([g.sub(g.add(m(l.sub(p(v,k),p(x,A)),e),m(l.sub(p(z,A),p(y,k)),c)),m(g.det3(c,e,f),g.cross(b,d)))])), +n(q(B),B)),b=g.add(b,q(b)),b=g.normalizeMax(b),b=w.withUsage(b,"Conic");a.matrix=b};m._helper.conic1Pol3Inc=function(a,b,c,d,e){var f=g.scalproduct,k=g.scalmult,m=g.productMM,n=g.cross,p=l.realmult,q=l.mult,t=g.transpose,u=g.turnIntoCSList,v=g.det3,w=v(a,c,d),x=u([n(c,e)]),y=u([n(a,e)]),z=u([n(c,d)]),A=f(b,a),B=f(b,c);b=f(b,e);n=u([n(d,g.sub(k(A,e),k(p(2,b),a)))]);x=k(w,m(t(x),n));a=p(2,l.add(q(v(a,d,e),B),q(w,b)));a=l.sub(q(v(c,d,e),A),a);x=g.add(x,k(a,m(t(y),z)));x=g.add(x,t(x));return x=g.normalizeMax(x)}; +m.ConicBy1Pol3P={};m.ConicBy1Pol3P.kind="C";m.ConicBy1Pol3P.signature=["P","L","P","P","P"];m.ConicBy1Pol3P.updatePosition=function(a){var b=m._helper.conic1Pol3Inc(u.csnames[a.args[0]].homog,u.csnames[a.args[1]].homog,u.csnames[a.args[2]].homog,u.csnames[a.args[3]].homog,u.csnames[a.args[4]].homog),b=w.withUsage(b,"Conic");a.matrix=b};m.ConicBy1Pol3L={};m.ConicBy1Pol3L.kind="C";m.ConicBy1Pol3L.signature=["P","L","L","L","L"];m.ConicBy1Pol3L.updatePosition=function(a){var b=m._helper.conic1Pol3Inc(u.csnames[a.args[1]].homog, +u.csnames[a.args[0]].homog,u.csnames[a.args[2]].homog,u.csnames[a.args[3]].homog,u.csnames[a.args[4]].homog),b=g.normalizeMax(g.adjoint3(b)),b=w.withUsage(b,"Conic");a.matrix=b};m._helper.coHarmonic=function(a,b,c,d){var e=g.realVector([100*Math.random(),100*Math.random(),1]),f=g.det3(e,c,a),k=g.det3(e,c,b);c=g.det3(e,d,a);d=g.det3(e,d,b);d=l.sqrt(l.mult(d,k));f=l.sqrt(l.mult(c,f));a=w.mult(a,d);f=w.mult(b,f);b=g.add(a,f);a=g.sub(a,f);return[b,a]};m.ConicInSquare={};m.ConicInSquare.kind="C";m.ConicInSquare.signature= +["P","P","P","P"];m.ConicInSquare.updatePosition=function(a){var b=D.basismap(u.csnames[a.args[0]].homog,u.csnames[a.args[1]].homog,u.csnames[a.args[2]].homog,u.csnames[a.args[3]].homog),c=l.one,c=m._helper.buildConicMatrix([c,c,c,l.real(-3),c,c]),b=g.adjoint3(b),b=g.productMM(g.productMM(g.transpose(b),c),b),b=g.normalizeMax(b);a.matrix=w.withUsage(b,"Conic")};m.ConicBy5lines={};m.ConicBy5lines.kind="C";m.ConicBy5lines.signature=["L","L","L","L","L"];m.ConicBy5lines.updatePosition=function(a){var b= +m._helper.ConicBy5(a,u.csnames[a.args[0]].homog,u.csnames[a.args[1]].homog,u.csnames[a.args[2]].homog,u.csnames[a.args[3]].homog,u.csnames[a.args[4]].homog),b=g.adjoint3(b);a.matrix=b;a.matrix=g.normalizeMax(a.matrix);a.matrix=w.withUsage(a.matrix,"Conic")};m.ConicFromPrincipalDirections={};m.ConicFromPrincipalDirections.kind="C";m.ConicFromPrincipalDirections.signature=["P","P","P"];m.ConicFromPrincipalDirections.updatePosition=function(a){var b=u.csnames[a.args[0]].homog,c=u.csnames[a.args[1]].homog, +d=u.csnames[a.args[2]].homog,e=m._helper.pointReflection(b,c),f=g.cross(c,b),b=g.turnIntoCSList([f.value[0],f.value[1],l.zero]),f=g.turnIntoCSList([f]),c=g.turnIntoCSList([g.cross(c,b)]),e=g.turnIntoCSList([g.cross(e,b)]);a.matrix=m._helper.conicFromTwoDegenerates(f,f,c,e,d);a.matrix=g.normalizeMax(a.matrix);a.matrix=w.withUsage(a.matrix,"Conic")};m.CircleBy3={};m.CircleBy3.kind="C";m.CircleBy3.signature=["P","P","P"];m.CircleBy3.updatePosition=function(a){var b=m._helper.ConicBy5(a,u.csnames[a.args[0]].homog, +u.csnames[a.args[1]].homog,g.ii,g.jj,u.csnames[a.args[2]].homog);a.matrix=g.normalizeMax(b);a.matrix=w.withUsage(a.matrix,"Circle")};m.ArcBy3={};m.ArcBy3.kind="C";m.ArcBy3.signature=["P","P","P"];m.ArcBy3.updatePosition=function(a){m.CircleBy3.updatePosition(a);a.startPoint=u.csnames[a.args[0]].homog;a.viaPoint=u.csnames[a.args[1]].homog;a.endPoint=u.csnames[a.args[2]].homog};m.ArcBy3.initialize=function(a){a.startPoint=u.csnames[a.args[0]].homog;a.viaPoint=u.csnames[a.args[1]].homog;a.endPoint=u.csnames[a.args[2]].homog; +a.isArc=!0};m.PolarOfPoint={};m.PolarOfPoint.kind="L";m.PolarOfPoint.signature=["P","C"];m.PolarOfPoint.updatePosition=function(a){var b=w.mult(u.csnames[a.args[1]].matrix,u.csnames[a.args[0]].homog),b=g.normalizeMax(b);a.homog=w.withUsage(b,"Line")};m.PolarOfLine={};m.PolarOfLine.kind="P";m.PolarOfLine.signature=["L","C"];m.PolarOfLine.updatePosition=function(a){var b=u.csnames[a.args[0]],c=g.adjoint3(u.csnames[a.args[1]].matrix),b=w.mult(c,b.homog),b=g.normalizeMax(b);a.homog=w.withUsage(b,"Point")}; +m.AngleBisector={};m.AngleBisector.kind="Ls";m.AngleBisector.signature=["L","L","P"];m.AngleBisector.updatePosition=function(a){var b=u.csnames[a.args[0]].homog,c=u.csnames[a.args[1]].homog,d=u.csnames[a.args[2]].homog,e=g.add,f=g.sub,k=g.abs,l=g.cross,m=g.scalmult,n=g.normalizeMax,p=g._helper.isAlmostZero,q=g.linfty,t=m(k(l(l(q,c),q)),b),b=m(k(l(l(q,b),q)),c),f=f(t,b),e=e(t,b);p(f)&&(f=l(l(l(q,e),q),d));p(e)&&(e=l(l(l(q,f),q),d));a.results=Na(n(f),n(e))};m.AngleBisector.stateSize=Na.stateSize;m._helper.IntersectLC= +function(a,b){var c=l,d=g.crossOperator(a),e=g.transpose(d),e=w.mult(e,w.mult(b,d)),f=g.maxIndex(a,l.abs2),k,m,n,p;0===f?(f=e.value[1].value[1],k=e.value[1].value[2],m=e.value[2].value[1],n=e.value[2].value[2],p=a.value[0]):1===f?(f=e.value[0].value[0],k=e.value[0].value[2],m=e.value[2].value[0],n=e.value[2].value[2],p=a.value[1]):(f=e.value[0].value[0],k=e.value[0].value[1],m=e.value[1].value[0],n=e.value[1].value[1],p=a.value[2]);c=c.div(c.sqrt(c.sub(c.mult(k,m),c.mult(f,n))),p);c=g.add(e,g.scalmult(c, +d));f=g.maxIndex(c,g.abs2);d=c.value[f];d=g.normalizeMax(d);d=w.withUsage(d,"Point");c=g.transpose(c);f=g.maxIndex(c,g.abs2);c=c.value[f];c=g.normalizeMax(c);c=w.withUsage(c,"Point");return[d,c]};m.IntersectLC={};m.IntersectLC.kind="Ps";m.IntersectLC.signature=["L","C"];m.IntersectLC.updatePosition=function(a){var b=m._helper.IntersectLC(u.csnames[a.args[0]].homog,u.csnames[a.args[1]].matrix);a.results=Na(b[0],b[1])};m.IntersectLC.stateSize=Na.stateSize;m.OtherIntersectionCL={};m.OtherIntersectionCL.kind= +"P";m.OtherIntersectionCL.signature=["C","L","P"];m.OtherIntersectionCL.updatePosition=function(a){var b=u.csnames[a.args[2]].homog,c=m._helper.IntersectLC(u.csnames[a.args[1]].homog,u.csnames[a.args[0]].matrix),d=c[0],c=c[1],e=g.projectiveDistMinScal(d,b),b=g.projectiveDistMinScal(c,b);a.homog=e<b?c:d;a.homog=g.normalizeMax(a.homog);a.homog=w.withUsage(a.homog,"Point")};m.IntersectCirCir={};m.IntersectCirCir.kind="Ps";m.IntersectCirCir.signature=["C","C"];m.IntersectCirCir.updatePosition=function(a){var b= 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+n=-(d-e)*a.strength*(f-g)/f*a.env.springstrength;a.ma.behavior&&(a.ma.behavior.fx+=m,a.ma.behavior.fy+=n);a.mb.behavior&&(a.mb.behavior.fx-=m,a.mb.behavior.fy-=n)},calculateDelta:function(a,b){},savePos:function(a,b){},restorePos:function(a,b){},sqDist:function(a,b,c){return 0},kineticEnergy:function(a){},storePosition:function(a){},recallPosition:function(a){},doCollisions:function(a){}},det:function(a,b,c,d,e,f){return c*f-e*d+e*b-a*f+a*d-c*b},Bouncer:{reset:function(a,b){a.el=b;"undefined"===typeof a.xdamp&& +(a.xdamp=0);"undefined"===typeof a.ydamp&&(a.ydamp=0);"undefined"===typeof a.motorchanger&&(a.motorchanger=!0);a.namea=b.args[0];a.nameb=b.args[1];a.ma=u.csnames[a.namea];a.mb=u.csnames[a.nameb];var c=D.extractPoint(a.ma.homog),d=D.extractPoint(a.mb.homog);a.x1o=1.01*c.x-.01*d.x;a.y1o=1.01*c.y-.01*d.y;a.x2o=1.01*d.x-.01*c.x;a.y2o=1.01*d.y-.01*c.y;a.env=O.env},resetForces:function(a){},getBlock:!1,setToTimestep:function(a,b,c){},initRK:function(a,b){a.deltat=b},setVelocity:function(a,b,c,d){},move:function(a){}, +proceedMotion:function(a,b,c,d){},calculateForces:function(a){},calculateDelta:function(a,b){},savePos:function(a,b){},restorePos:function(a,b){},sqDist:function(a,b,c){return 0},kineticEnergy:function(a){},storePosition:function(a){},recallPosition:function(a){},doCollisions:function(a){for(var b=D.extractPoint(a.ma.homog),c=D.extractPoint(a.mb.homog),d=b.x,b=b.y,e=c.x,c=c.y,f=a.x1o,g=a.y1o,k=a.x2o,m=a.y2o,n=Math.sqrt((d-e)*(d-e)+(b-c)*(b-c)),p=(d-e)/n,n=(b-c)/n,q=0;q<ga.length;q++){var t=ga[q], +u=t.behavior.xo,v=t.behavior.yo,w=t.behavior.x,x=t.behavior.y,y=l.mult(l.complex(f,g),l.complex(e,c)),z=l.mult(l.complex(k,m),l.complex(d,b)),y=l.sub(y,z),z=l.mult(l.complex(u,v),l.complex(d,b)),y=l.add(y,z),z=l.mult(l.complex(u,v),l.complex(e,c)),y=l.sub(y,z),z=l.sub(l.complex(f,g),l.complex(k,m)),y=l.div(y,z);0>O.det(d,b,e,c,w,x)*O.det(d,b,e,c,y.value.real,y.value.imag)&&0>O.det(d,b,w,x,y.value.real,y.value.imag)*O.det(e,c,w,x,y.value.real,y.value.imag)&&(v=t.behavior.mvx+a.deltat*(-y.value.real+ +t.behavior.xo),w=t.behavior.mvy+a.deltat*(-y.value.imag+t.behavior.yo),u=p*v+n*w,v=n*v-p*w,t.behavior.x=y.value.real,t.behavior.y=y.value.imag,t.behavior.vx=p*u*(1-a.xdamp),t.behavior.vy=n*u*(1-a.xdamp),t.behavior.vx+=-n*v*(1-a.ydamp),t.behavior.vy+=p*v*(1-a.ydamp))}a.x1o=d;a.y1o=b;a.x2o=e;a.y2o=c}},Environment:{init:function(a){"undefined"===typeof a.gravity&&(a.gravity=0);"undefined"===typeof a.friction&&(a.friction=0);"undefined"===typeof a.springstrength&&(a.springstrength=1);"undefined"!==typeof a.accuracy&& +(Mb=a.accuracy);"undefined"!==typeof a.deltat&&sa(a.deltat/.6);"undefined"===typeof a.charges&&(a.charges=!1);"undefined"===typeof a.balls&&(a.balls=!1);"undefined"===typeof a.newton&&(a.newton=!1);"undefined"===typeof a.ballInteractionBoosting&&(a.ballInteractionBoosting=1);O.env=a;a.errorbound=.001;a.lowestdeltat=1E-7;a.slowdownfactor=2},reset:function(a){},resetForces:function(a){},getBlock:!1,setToTimestep:function(a,b,c){},initRK:function(a,b){},setVelocity:function(a,b,c,d){},move:function(a){}, +proceedMotion:function(a,b,c,d){},calculateForces:function(a){var b,c,d,e,f,g,k,l,m,n;if(a.newton)for(b=0;b<ga.length-1;b++)for(c=ga[b],d=c.behavior.x,e=c.behavior.y,f=b+1;f<ga.length;f++)g=ga[f],k=g.behavior.x,l=g.behavior.y,n=Math.sqrt((d-k)*(d-k)+(e-l)*(e-l)),k=(d-k)*c.behavior.mass*g.behavior.mass/(n*n*n),l=(e-l)*c.behavior.mass*g.behavior.mass/(n*n*n),c.behavior.fx-=k,c.behavior.fy-=l,g.behavior.fx+=k,g.behavior.fy+=l;if(a.charges)for(b=0;b<ga.length-1;b++)for(c=ga[b],d=c.behavior.x,e=c.behavior.y, +f=b+1;f<ga.length;f++)g=ga[f],k=g.behavior.x,l=g.behavior.y,n=Math.sqrt((d-k)*(d-k)+(e-l)*(e-l)),k=(d-k)*c.behavior.charge*g.behavior.charge/(n*n*n),l=(e-l)*c.behavior.charge*g.behavior.charge/(n*n*n),c.behavior.fx+=k,c.behavior.fy+=l,g.behavior.fx-=k,g.behavior.fy-=l;if(a.balls)for(b=0;b<ga.length-1;b++)if(c=ga[b],0!==c.behavior.radius)for(d=c.behavior.x,e=c.behavior.y,f=b+1;f<ga.length;f++)g=ga[f],0!==g.behavior.radius&&(k=g.behavior.x,l=g.behavior.y,m=c.behavior.radius+g.behavior.radius,n=Math.sqrt((d- +k)*(d-k)+(e-l)*(e-l)),0===a.ballInteractionBoosting?(k=(d-k)/(n*n*n)*(n>m?0:(n-m)*(n-m)),l=(e-l)/(n*n*n)*(n>m?0:(n-m)*(n-m))):1===a.ballInteractionBoosting?(k=(d-k)/(n*n*n*n)*(n>m?0:(n-m)*(n-m)),l=(e-l)/(n*n*n*n)*(n>m?0:(n-m)*(n-m))):(k=(d-k)/(n*n*n*n*n)*(n>m?0:(n-m)*(n-m)),l=(e-l)/(n*n*n*n*n)*(n>m?0:(n-m)*(n-m))),c.behavior.fx+=k,c.behavior.fy+=l,g.behavior.fx-=k,g.behavior.fy-=l);for(b=0;b<ga.length;b++)c=ga[b],c.behavior.fx+=0,c.behavior.fy+=-a.gravity*c.behavior.mass,c.behavior.fz+=0},calculateDelta:function(a, +b){},savePos:function(a,b){},restorePos:function(a,b){},sqDist:function(a,b,c){return 0},kineticEnergy:function(a){},storePosition:function(a){},recallPosition:function(a){},doCollisions:function(a){}}};return oa};return E}(),createCindy=CindyJS;"undefined"!==typeof process&&"undefined"!==typeof module&&"undefined"!==typeof module.exports&&"undefined"===typeof window&&(module.exports=CindyJS); +//# sourceMappingURL=Cindy.js.map diff --git a/Master/texmf-dist/doc/support/ketcindy/ketmanual/CindyJS/CindyJS.css b/Master/texmf-dist/doc/support/ketcindy/ketmanual/CindyJS/CindyJS.css new file mode 100644 index 00000000000..2fdefb34c40 --- /dev/null +++ b/Master/texmf-dist/doc/support/ketcindy/ketmanual/CindyJS/CindyJS.css @@ -0,0 +1,121 @@ +.CindyJS-toolbar button, .CindyJS-animbuttons button, .CindyJS-button button, .CindyJS-button label { + background-color: #bfc4d0; + border: 1px solid #d0d0d0; + box-shadow: inset 1px 1px 2px #fff, inset -1px -1px 2px #aaa; + outline: none; } + +.CindyJS-toolbar button:active, .CindyJS-animbuttons button:active, .CindyJS-toolbar button.CindyJS-active, .CindyJS-animbuttons button.CindyJS-active, .CindyJS-button button:active, .CindyJS-button label:active, .CindyJS-button input[type=checkbox]:checked + label { + background-color: #aaafbb; + box-shadow: inset 1px 1px 2px #999, inset -1px -1px 2px #ccc; } + +.CindyJS-toolbar, .CindyJS-animbuttons { + line-height: 0px; } + .CindyJS-toolbar button, .CindyJS-animbuttons button { + display: inline-block; + margin: 0px; + padding: 0px; } + .CindyJS-toolbar button:focus, .CindyJS-animbuttons button:focus { + border-color: #06f; } + .CindyJS-toolbar img, .CindyJS-animbuttons img { + margin: 0px; + border: none; + display: block; } + +.CindyJS-widget { + overflow: hidden; + z-index: 0; } + .CindyJS-widget canvas { + z-index: 1; } + .CindyJS-widget .CindyJS-baseline { + margin: 0px; + padding: 0px; + border: none; + position: absolute; + white-space: nowrap; + margin-top: -1000px; } + .CindyJS-widget .CindyJS-baseline > img { + margin: 0px; + padding: 0px; + border: none; + display: inline; + position: static; + vertical-align: baseline; + visibility: hidden; + margin-right: -1px; } + .CindyJS-widget .CindyJS-baseline .CindyJS-button { + display: inline-block; } + .CindyJS-widget .CindyJS-button { + position: relative; + z-index: 2; } + .CindyJS-widget .CindyJS-toolbar, .CindyJS-widget .CindyJS-animbuttons { + position: absolute; } + .CindyJS-widget .CindyJS-toolbar button, .CindyJS-widget .CindyJS-animbuttons button { + position: relative; + z-index: 3; } + .CindyJS-widget .CindyJS-animspeed { + position: relative; + z-index: 3; } + .CindyJS-widget .CindyJS-animcontrols { + bottom: 5px; + left: 5px; } + +.CindyJS-button input[type=checkbox] { + position: absolute; + left: -10000px; } + +.CindyJS-button button, .CindyJS-button label { + margin: -6px -7px; + padding: 5px 6px; + border-radius: 4px; } + +.CindyJS-button button:focus, .CindyJS-button input[type=checkbox]:focus + label { + box-shadow: 0px 0px 3px #06f, inset 1px 1px 2px #fff, inset -1px -1px 2px #aaa; } + +.CindyJS-button button:focus:active, .CindyJS-button input[type=checkbox]:focus:checked + label { + background-color: #aaafbb; + box-shadow: 0px 0px 3px #06f, inset 1px 1px 2px #999, inset -1px -1px 2px #ccc; } + +.CindyJS-editabletext { + border: 1px solid #000; + margin: -4px -4px -1px; + padding: 4px 4px 1px; } + .CindyJS-editabletext:focus { + box-shadow: 0px 0px 3px #06f; } + +.CindyJS-toolbar div { + line-height: 0px; } + +.CindyJS-toolbar span.CindyJS-spacer { + display: inline-block; + margin: 0px; + padding: 1px; + width: 32px; + height: 24px; } + +.CindyJS-animcontrols { + position: absolute; + background-color: #00f; + height: 36px; + width: 102px; } + .CindyJS-animcontrols .CindyJS-animspeed { + height: 10px; + width: 100%; + border-radius: 4px; + background-color: #ff7f7f; + box-shadow: inset 1px 1px 2px #999, inset -1px -1px 2px #ccc; } + .CindyJS-animcontrols .CindyJS-animspeed div { + width: 50%; + height: 100%; + border-radius: 4px; + background-color: #cc0000; + box-shadow: inset 1px 1px 2px #fff, inset -1px -1px 2px #aaa; } + .CindyJS-animcontrols .CindyJS-animbuttons { + white-space: nowrap; } + +.CindyJS-animbuttons button { + border-radius: 4px; + width: 34px; + height: 26px; + box-sizing: border-box; } + +/*# sourceMappingURL=CindyJS.css.map */
\ No newline at end of file diff --git a/Master/texmf-dist/doc/support/ketcindy/ketmanual/CindyJS/ketcindylib.txt b/Master/texmf-dist/doc/support/ketcindy/ketmanual/CindyJS/ketcindylib.txt new file mode 100644 index 00000000000..72469da831a --- /dev/null +++ b/Master/texmf-dist/doc/support/ketcindy/ketmanual/CindyJS/ketcindylib.txt @@ -0,0 +1,6419 @@ +// 17.08.26 Slider +// 16.11.27 +Ketinit():=Ketinit(1); +Ketinit(sy):=Ketinit(sy,[-5,5],[-5,5]); +Ketinit(sy,rangex,rangey):=( + regional(pt,tmp,tmp1,tmp2); + PenThickInit=8; + ULEN="1cm"; + KETPICLAYER=20; + MilliIn=1/2.54*1000; + PenThick=round(MilliIn*0.02); + PenThickInit=PenThick; + TenSizeInit=0.02; + TenSize=TenSizeInit; + YaSize=1; YaAngle=18; YaPosition=1; + YaThick=1; YaStyle='tf'; + KETPICCOUNT=1; + KCOLOR=[0,0,0]; + GLIST=[]; + GCLIST=[]; +// GDATALIST=[]; + GOUTLIST=[]; + POUTLIST=[]; + VLIST=[]; + FUNLIST=[]; + LETTERlist=[]; + COM0thlist=[]; + COM1stlist=[]; + COM2ndlist=[]; + SCIWRLIST=[]; + SCIRELIST=[]; + ADDAXES="1"; + LFmark=unicode("000a"); + Dq=unicode("0022"); + WaitUnit=10; + CONTINUED=0; + OutComList=[]; + OutFileLIst=[]; // 15.10.22 + FigPdfList=[]; // 16.04.08 + ADDPACK=[]; // 16.05.16 + ErrFlag=0; + setdirectory(Dirwork); + if(isstring(Fhead), // 15.04.06 + Fnametex=Fhead+".tex"; + Fnamesci=Fhead+".sce"; + Fnamescibody=Fhead+"body.sce"; + Fnameout=Fhead+".txt"; + ); + if(!isstring(Mackc),// 16.06.07 + Mackc="sh"; + ); + ArrowlineNumber=1; // 15.01.05 + ArrowheadNumber=1; + BezierNumber=1; //15.01.03 + SCALEX=1; + SCALEY=sy; +// Setscaling(sy); + XMIN=rangex_1/SCALEX; + XMAX=rangex_2/SCALEX; + YMIN=rangey_1/SCALEY; + YMAX=rangey_2/SCALEY; + Setwindow("Msg=n"); // 16.05.31 +); + +DqDq(str):=unicode("0022")+str+unicode("0022"); + +Tab2list(dtstr):=Tab2list(dtstr,[]); +Tab2list(dtstr,options):=( +//help:Tab2list(datastr); +//help:Tab2list(options=[0]); + regional(dtall,dt,rep,out,crm,lfm,htm,first,tmp,tmp1,tmp2); + crm=unicode("000d"); + lfm=unicode("000a"); + htm=unicode("0009"); + rep=0; + if(length(options)>0,rep=options_1); + first=lfm; // 16.09.05from + if(indexof(dtstr,crm)>0, + first=crm; + if(indexof(dtstr,crm+lfm)>0, + first=first+lfm; + ); // 16.09.05upto + ); + tmp1=Indexall(dtstr,first); + tmp1=prepend(0,tmp1); + tmp1=append(tmp1,length(dtstr)); + dtall=[]; + forall(1..(length(tmp1)-1), + tmp=substring(dtstr,tmp1_#,tmp1_(#+1)-1); + if(length(tmp)>0, + dtall=append(dtall,tmp); + ); + ); + out=[]; + forall(dtall,dt, + tmp1=tokenize(dt,unicode("0009")); + tmp2=[]; + forall(tmp1, + if(isstring(#),tmp=parse(#),tmp=#); + if(!isreal(tmp), + if(length(#)>0,tmp=#,tmp=rep); + ); + tmp2=append(tmp2,tmp); + ); + out=append(out,tmp2); + ); + out; +); + +Columnlist(dt,list):=( // 16.09.04 +//help:Columnlist(dt,1..3); + apply(dt,#_list); +); + +Dispmat(dt):=( // 16.09.16 +//help:Dispmat(dt); + regional(htm,crm,lfm,row,tmp,tmp1,tmp2); + htm=unicode("0009"); + crm=unicode("000d"); + lfm=unicode("000a"); + tmp2=""; + forall(dt,row, + tmp1=""; + forall(row, + if(isstring(#), + tmp1=tmp1+#+htm; + , + tmp1=tmp1+text(#)+htm; + ); + ); + tmp1=substring(tmp1,0,length(tmp1)-1); + tmp1=tmp1+lfm; + tmp2=tmp2+tmp1; + ); + print(tmp2); + println(); +); + +norm(v1):=( // 16.09.01 +//help:norm([2,1,3]); + regional(out,tmp,tmp1,tmp2); + out=0; + forall(1..length(v1), + out=out+(v1_#)^2; + ); + out=sqrt(out); + out; +); +norm(v1,v2):=( + norm(v2-v1); +); + +// 16.03.28 +Removespace(str):=( +//help:Removespace(" a b c "); + regional(tmp,flg,out); + tmp=length(str)+1; + flg=0; + forall(1..length(str), + if(flg==0, + if((str_#)!=" ", + tmp=#; + flg=1; + ); + ); + ); + out=substring(str,tmp-1,length(str)); + flg=0; + tmp=0; + forall(reverse(1..length(out)), + if(flg==0, + if((out_#)!=" ", + tmp=#; + flg=1; + ); + ); + ); + out=substring(out,0,tmp); +); + +Indexall(str,key):=( + regional(rest,out,flg,tmp,tmp1,); + out=[]; + rest=str; + flg=0; + forall(1..length(str), + if(flg==0, + tmp=indexof(rest,key); + if(tmp>0, + tmp1=tmp+length(str)-length(rest); + out=append(out,tmp1); + rest=substring(rest,tmp,length(rest)); + , + flg=1; + ); + ); + ); + out; +); + +Changestyle(nameL,style):=( +//help:Changestyle(["sgAB"],["da"]); + regional(nmL,name,Ltype,Ltypeorg,Noflg,opcindy,tmp); + tmp=Divoptions(style); + Ltypeorg=tmp_1; + Noflg=tmp_2; + opcindy=tmp_(length(tmp)); + if(islist(nameL),nmL=nameL,nmL=[nameL]); + forall(nmL,name, + Ltype=Ltypeorg; + GCLIST=select(GCLIST,#_1!=name); + COM2ndlist=select(COM2ndlist,indexof(#,"("+name)==0); // 15.05.23 + if(Noflg<2, + if(isstring(Ltype), + Ltype=GetLinestyle(text(Noflg)+Ltype,name); + , + if(Noflg==1,Ltype=0); + ); + GCLIST=append(GCLIST,[name,Ltype,opcindy]); + ); + ); +); + +Op(n,object):=( // 16.05.25 +//help:Op(4,[1,2,3,4]); +//help:Op(3,"abcd"); + regional(out); + if(islist(object), + out=object_n; + , + if(isstring(object), + out=substring(object,n-1,n); + ); + ); + out; +); + +Toupper(str):=( + regional(alphabet,out,tmp,tmp1); + alphabet="abcdefghijklmnopqrstuvwxyz"; + out=""; + forall(1..length(str), + tmp=substring(str,#-1,#); + tmp1=indexof(alphabet,tmp); + if(tmp1>0, + out=out+unicode(text(tmp1+64),base->10); + , + out=out+tmp; + ); + ); + out; +); + +Textformat(value,dig):=( +//help:Textformat(2/3,4); +//help:Textformat([gr1,gr2],5); + regional(vv,tmp,tmp1); + if(islist(value), + tmp1="["; + forall(value, + tmp1=tmp1+Textformat(#,dig)+","; + ); + tmp1=substring(tmp1,0,length(tmp1)-1)+"]"; + , + if(ispoint(value) % isstring(value), +// vv=Lcrd(value); +// tmp1=Textformat(vv,dig); +// tmp1=text(value); // 15.04.07 + if(isstring(value),tmp1=Dq+value+Dq,tmp1=text(value)); // 15.10.02 + , + tmp1=format(value,dig); + ); + ); + tmp1; +); + +Sprintf(value,dig):=( +//help:Sprintf(5.1,4); + regional(vv,tmp,tmp1); + if(!islist(value), + vv=Textformat(value,dig); + if(indexof(vv,".")==0,vv=vv+"."); + vv=vv+"0000000000000000"; + tmp=indexof(vv,".")+dig; + vv=substring(vv,0,tmp); + , + vv=apply(value,Sprintf(#,dig)); + ); + vv; +); + +Assign(funstr,vrL):=( + regional(nn,out,tmp,tmp1); + nn=length(vrL)/2; + out=funstr; + forall(1..nn, + out=Assign(out,vrL_(2*#-1),vrL_(2*#)); + ); + out; +); + +Assign(funstr,varname,rep):=( +//help:Assign("x^2+a*x","a",1.3); +//help:Assign("a*x^2+b*x",["a",1,"b",2]); + regional(repstr,ii,jj,tmp,tmp1,tmp2,Notvar,Flg); + if(isstring(rep),repstr=rep,repstr="("+Textformat(rep,5)+")"); // 15.02.09, 07.06 + tmp=[46]; // 12.20 + tmp=concat(tmp,48..57); + tmp=concat(tmp,65..90); + tmp=concat(tmp,97..122); + Notvar=apply(tmp,unicode(text(#),base->10)); + tmp2=""; + forall(1..100, + ii=indexof(funstr,varname); + if(ii>0, + Flg=0; + if(ii>1, + tmp=substring(funstr,ii-2,ii-1); + if(contains(Notvar,tmp), + tmp2=tmp2+substring(funstr,0,ii); + funstr=substring(funstr,ii,length(funstr)); + Flg=1; + ); + ); + if(Flg==0, + jj=ii-1+length(varname); + if(jj<length(funstr), + tmp=substring(funstr,jj,jj+1)); + if(contains(Notvar,tmp), + tmp2=tmp2+substring(funstr,0,jj); + funstr=substring(funstr,jj,length(funstr)); + Flg=1; + ); + ); + if(Flg==0, + tmp2=tmp2+substring(funstr,0,ii-1)+repstr; + funstr=substring(funstr,jj,length(funstr)); + ); + ); + ); + funstr=tmp2+funstr; + funstr; +); + +MeasureDepth(list):=( + regional(tmp,Depth,Flg); + Flg=0; + Depth=0; + if(ispoint(list), // 15.01.22 + Depth=0; + Flg=1; + , + tmp=list_1; + ); + repeat(4, + if(Flg==0, + if(islist(tmp), + tmp=tmp_1; + Depth=Depth+1; + , + if(ispoint(tmp),Depth=Depth+1); + Flg=1; + ); + ); + ); + Depth; +); + +Flattenlist(pltlist):=( +//help:Flattenlist([[2,3],[[1,2],[5,6]]]); + regional(Out,nn,Dt,ii,tmp,flg); + Out=[]; + if(MeasureDepth(pltlist)==1, + Out=[pltlist]; + , + forall(1..length(pltlist),nn, + Dt=pltlist_nn; + if(MeasureDepth(Dt)<2, + Out=append(Out,Dt); + , + forall(1..length(Dt),ii, + tmp=Flattenlist(Dt_ii); + Out=concat(Out,tmp); + ); + ); + ); + ); + Out; +); + +Divoptions(options):=( +//help:Divoptions(options); + regional(Ltype,Noflg,Inflg,Outflg,eqL,realL,strL,opstr,opcindy,flg,tmp,tmp1); + Ltype="dr"; // 2015.01.13 + Noflg=0; + Inflg=0; + Outflg=0; + eqL=[]; + realL=[]; + strL=[]; + opstr=""; + opcindy=""; + forall(options, + flg=0; + if(flg==0, + if(isreal(#) % ispoint(#) % islist(#), + realL=append(realL,#); + opstr=opstr+","+text(#); + flg=1; + ); + ); + if(flg==0, + if(indexof(#,"=")>0, + eqL=append(eqL,#); + flg=1; + ); + ); + if(flg==0, + if(indexof(#,"no")+indexof(#,"No")>0, + if(indexof(#,"tex")>0,Noflg=1); + if(indexof(#,"disp")>0,Noflg=2); + if(indexof(#,"data")>0,Noflg=3); + flg=1; + ); + ); + if(flg==0, + if(indexof(#,"->")>0, + opcindy=opcindy+","+#; + flg=1; + ); + ); + if(flg==0, + if(indexof(#,"out")+indexof(#,"Out")>0, + if(indexof(#,"-")==0, + Outflg=1; + , + Outflg=2; + ); + flg=1; + ); + ); + if(flg==0, + if(indexof(#,"in")+indexof(#,"In")>0, + if(indexof(#,"-")==0, + Inflg=1; + , + Inflg=2; + ); + flg=1; + ); + ); + if(flg==0, + tmp=substring(#,0,2); + tmp1=indexof(tmp,"dr")+indexof(tmp,"Dr"); + tmp1=tmp1+indexof(tmp,"da")+indexof(tmp,"Da"); + tmp1=tmp1+indexof(tmp,"id")+indexof(tmp,"Id"); + tmp1=tmp1+indexof(tmp,"do")+indexof(tmp,"Do"); + tmp1=tmp1+indexof(tmp,"dp")+indexof(tmp,"Dp"); + if(tmp1>0, + Ltype=#; + flg=1; + ); + if(flg==0, + strL=append(strL,#); + opstr=opstr+","+Dq+#+Dq; + ); + ); + ); + if(indexof(opcindy,"color->")==0,// 16.10.07from + opcindy=opcindy+",color->[0,0,0]"; + ); + [Ltype,Noflg,Inflg,Outflg,eqL,realL,strL,opstr,opcindy]; +); + +Dotprod(vec1,vec2):=( +//help:Dotprod(vec1,vec2); + regional(v1,v2,tmp); + if(ispoint(vec1),v1=vec1.xy,v1=vec1); + if(ispoint(vec2),v2=vec2.xy,v2=vec2); + v1*v2; +); + +Crossprod(a,b):=( +//help:Crossprod(vec1,vec2); + regional(tmp1,tmp2,tmp3,Out); + if(length(a)==3, + tmp1=a_2*b_3-a_3*b_2; + tmp2=a_3*b_1-a_1*b_3; + tmp3=a_1*b_2-a_2*b_1; + Out=[tmp1,tmp2,tmp3]; + , + Out=a_1*b_2-a_2*b_1; + ); + Out; +); + +Ptstart(Fig):=( +//help:Ptstart("gr1"); + regional(tmp); + if(isstring(Fig),tmp=parse(Fig),tmp=Fig); // 16.01.21 + tmp_1; +); + +Ptend(Fig):=( +//help:Ptend("gr1"); + regional(tmp); + if(isstring(Fig),tmp=parse(Fig),tmp=Fig); + tmp_(length(tmp)); // 15.04.12 +); + +Numptcrv(Fig):=( +//help:Numptcrv("gr1"); + regional(tmp); + if(isstring(Fig),tmp=parse(Fig),tmp=Fig); // 15.12.23 + length(tmp); +); + +Ptcrv(Num,Fig):=( +//help:Ptcrv(10,"gr1"); + regional(tmp); + if(isstring(Fig),tmp=parse(Fig),tmp=Fig); + tmp_Num; +); + +Invert(Fig):=( +//help:Invert("gr1"); + regional(tmp); + if(isstring(Fig),tmp=parse(Fig),tmp=Fig); // 16.01.27 + reverse(tmp); +); +Invert(nm,Fig):=Invert(nm,Fig,["nodisp"]); // from 16.01.27 +Invert(nm,Fig,options):=( +//help:Invert("1","gr1"); + regional(name,tmp); + name="-inv"+nm; + tmp=Invert(Fig); + Listplot(name,tmp,options); +);// upto 16.01.27 + +Paramoncrv(pP,Gdata):=( + regional(Tmp,PtL); +// Eps=10^(-8); + if(isstring(Gdata),PtL=parse(Gdata),PtL=Gdata); + Tmp=Nearestpt(pP,PtL); + Tmp_2; +); + +ParamonCurve(pP,nN,plist):=( +//help:ParamonCurve(A,10,"gr1"); + regional(PtL,Out,Pa,Pb,vV,vW,sS); + if(isstring(plist),PtL=parse(plist),PtL=plist); + PtL=apply(PtL,LLcrd(#));//16.10.16 + if(nN==length(PtL), + Out=nN; + , + Pa=PtL_nN; + Pb=PtL_(nN+1); + vV=Pb-Pa; + vW=pP-Pa; + sS=vV*vW/|vV|^2; + sS=min([max([sS,0]),1]); + Out=nN+sS; + ); + Out; +); + +Pointoncrv(tT,PtL):=PointonCurve(tT,PtL); +PointonCurve(tT,Gdata):=( +//help:PointonCurve(20.5,"gr1"); + regional(Out,Eps,nN,sS,Pa,Pb,PtL); + if(isstring(Gdata),PtL=parse(Gdata),PtL=Gdata); + if(length(PtL)==1,PtL=PtL_1); + Eps=10^(-4); + nN=floor(tT+Eps); + sS=max([tT-nN,0]); + if(nN==length(PtL), + Out=PtL_nN; + , + Pa=PtL_nN; + Pb=PtL_(nN+1); + Out=(1-sS)*Pa+sS*Pb; + ); + Out; +); + +Koutenseg(pA,pB,pC,pD):=Koutenseg(pA,pB,pC,pD,[]); +Koutenseg(pA,pB,pC,pD,options):=( + regional(Eps0,Eps,Eps2,pV,Sv2,Out,pP,pQ,Flg,p1,p2,q1,q2, + em1,eM1,em2,eM2,rT,Tmp1,Tmp2); + Eps0=10^(-4); + pV=pB-pA; + Sv2=|pV|; + pP=pC-pA; pQ=pD-pA; + Eps=10^(-3); + Eps2=0.2; + Tmp1=0; + forall(options, + if(Tmp1==0, + Eps=#; + Tmp1=1; + , + Eps2=#; + ); + ); + Flg=0; + if(Sv2<10^(-3), + Out=["inf","inf"]; + Flg=1; + ); + if(Flg==0, + Eps=min([Eps2,Eps/Sv2]); + p1=pP*pV/Sv2^2; + p2=[pP_2,-pP_1]*pV/Sv2^2; + q1=pQ*pV/Sv2^2; + q2=[pQ_2,-pQ_1]*pV/Sv2^2; + em1=-Eps; eM1=1+Eps; + em2=-Eps; eM2=Eps; + if(max([p1,q1])<em1 % min([p1,q1])>eM1, + Out=["inf","inf"]; + Flg=1; + ); + if(max([p2,q2])<em2 % min([p2,q2])>eM2, + Out=["inf","inf"]; + Flg=1; + ); + ); + if(Flg==0 & p2*q2<0, + rT=p1-(q1-p1)/(q2-p2)*p2; + if(rT>em1 & rT<eM1, + if(rT>-Eps0 & rT<1+Eps0, + Tmp1=pA+rT*pV; + Tmp2=min([max([rT,0]),1]); + Out=[Tmp1,Tmp2,0]; + , + Tmp1=pA+rT*pV; + Tmp2=min([max([rT,0]),1]); + Out=[Tmp1,Tmp2,1]; + ); + Flg=1; + ); + if(Flg==0 & (p1<em1 % p1>eM1 % p2<em2 % p2>eM2), + if(q1<em1 % q1>eM1 % q2<em2 % q2>eM2, + Out=["inf","inf"]; + Flg=1; + ); + if(Flg==0, + rT=min([max([p1,0]),1]); + Tmp1=pA+rT*pV; + Out=[Tmp1,rT,1]; + Flg=1; + ); + ); + ); + if(Flg==0 & (p1 > -Eps0 & p1 < 1 + Eps0 & p2 > -Eps0 & p2 < Eps0), + rT= p1; + Tmp1=pA+rT*pV; + Out= [Tmp1, rT, 0]; + Flg=1; + ); + if(Flg==0 & (q1 > -Eps0 & q1 < 1 + Eps0 & q2 > -Eps0 & q2 < Eps0), + rT= q1; + Tmp1=pA+rT*pV; + Out=[Tmp1,rT,0]; + Flg=1; + ); + if(Flg==0 & (p1<em1 % p1>eM1 % p2<em2 % p2>eM2), + if(q1<em1 % q1>eM1 % q2<em2 % q2>eM2, + Out=["inf","inf"]; + Flg=1; + ); + if(Flg==0, + rT=min([max([q1,0]),1]); + Tmp1=pA+rT*pV; + Out=[Tmp1,rT,1]; + Flg=1; + ); + ); + if(Flg==0 & (q1<em1 % q1>eM1% q2<em2 % q2>eM2), + rT=min([max([p1,0]),1]); + Tmp1=pA+rT*pV; + Out=[Tmp1,rT,1]; + Flg=1; + ); + if(Flg==0, + if(abs(p2)<abs(q2), + rT=min([max([p1,0]),1]); + , + rT=min([max([q1,0]),1]); + ); + Tmp1=pA+rT*pV; + Out=[Tmp1,rT,1]; + ); + Out; +); + +IntersectcrvsPp(Gr1,Gr2):=IntersectcrvsPp(Gr1,Gr2,[]); +IntersectcrvsPp(Gr1,Gr2,options):=( +//help:IntersectcrvsPp("gr1","pa1"); + regional(Out,Eps,Eps2,Eps0,Flg,Data1,Data2, + Tmp1,Tmp2,Tmp3,Tmp,KL1,KL2,pA,pB,Ni,Nj, + pP,pQ,rT,Flg,eqL,realL,opstr,Dif); + Eps=10^(-4); + Eps2=0.1; + Dif=0.05; // 2015.05.31 + Flg=0; + Tmp1=Divoptions(options); // + eqL=Tmp1_5; + realL=Tmp1_6; + opstr=Tmp1_(length(Tmp1)); + forall(eqL, + if(substring(#,0,1)=="D", + Tmp1=indexof(#,"="); + Dif=parse(substring(#,Tmp1,length(#))); + ); + ); + Tmp1=length(realL); + if(Tmp1>0, + Eps=realL_1; + if(Tmp1>1, + Eps2=realL_2; + ); + ); + Flg=0; + if(isstring(Gr1),Data1=parse(Gr1),Data1=Gr1); + if(isstring(Gr2),Data2=parse(Gr2),Data2=Gr2); + if(MeasureDepth(Data1)==2,Data1=Data1_1); + if(MeasureDepth(Data2)==2,Data2=Data2_1); + Data1=apply(Data1,LLcrd(#)); + Data2=apply(Data2,LLcrd(#)); + if(length(Data1)==length(Data2), + Tmp1=Reverse(Data2); + Eps0=10^(-6); + Tmp2=0; + forall(1..length(Data1), + Tmp2=Tmp2+abs(Data1_#-Data2_#); + ); + Tmp3=0; + forall(1..length(Data1), + Tmp3=Tmp3+abs(Data1_#-Tmp1_#); + ); + if(Tmp2<Eps0 % Tmp3<Eps0, + Out=[]; + Flg=1; + ); + ); + if(Flg==0, + KL1=[]; + KL2=[]; + forall(1..(length(Data1)-1),Ni, + pA=Data1_Ni; + pB=Data1_(Ni+1); + forall(1..(length(Data2)-1), + pP=Data2_#; pQ=Data2_(#+1); + Tmp=Koutenseg(pA,pB,pP,pQ,[Eps,Eps2]); + if(Tmp!=["inf","inf"], + if(Tmp_3==0, + Tmp1=[Tmp_1,Tmp_2,Ni,#]; + KL1=concat(KL1,[Tmp1]); + , + Tmp2=[Tmp_1,Tmp_2,Ni,#]; + KL2=concat(KL2,[Tmp2]); + ); + ); + ); + ); + Out=[]; + if(length(KL1)>0, + Tmp=KL1_1; + pP=Tmp_1; + rT=Tmp_2; + Ni=Tmp_3; + Nj=Tmp_4; + Tmp=[pP,Ni+rT,Nj]; + Out=[Tmp]; + ); + forall(2..length(KL1),Ni, + Tmp=KL1_Ni; + pP=Tmp_1; + Tmp2=0; + Flg=0; + forall(1..length(Out),Nj, + if(Flg==0, + Tmp=Out_Nj; + if(|pP-Tmp_1|<Eps, + Tmp2=1; + Flg=1; + ); + ); + ); + if(Tmp2==0, + Tmp=KL1_Ni; + pP=Tmp_1; + rT=Tmp_2; + Tmp1=Tmp_3; + Tmp2=Tmp_4; + Tmp=[pP,Tmp1+rT,Tmp2]; + Out=concat(Out,[Tmp]); + ); + ); + forall(1..length(KL2),Ni, + Tmp=KL2_Ni; // 15.11.21 Usui + pP=Tmp_1; + Tmp2=0; + Flg=0; + forall(1..length(Out),Nj, + if(Flg==0, + Tmp=Out_Nj; + if(|pP-Tmp_1|<Eps, + Tmp2=1; + Flg=1; + ); + ); + ); + if(Tmp2==0, + Tmp=KL2_Ni; + rT=Tmp_2; + rT=min([max([rT,0]),1]); // 15.11.21 Usui + Tmp=[pP,Tmp_3+rT,Tmp_4]; + Out=concat(Out,[Tmp]); + ); + ); + ); + Tmp1=Out; // 15.04.06 from + Out=[]; + forall(Tmp1,Tmp2, + Tmp3=select(1..(length(Out)),|Out_#_1-Tmp2_1|<Dif);//16.11.27 + if(length(Tmp3)==0, + Out=append(Out,Tmp2); + , + forall(Tmp3,//16.11.27 + Out_#=(Out_#+Tmp2)/2; + ); + ); + ); // 15.04.06 upto + Out; +); + +Intersectcrvs(Gr1,Gr2):=Intersectcrvs(Gr1,Gr2,[]); +//help:Intersectcrvs("gr1","pa1"); +Intersectcrvs(Gr1,Gr2,options):=( + regional(tmp,tmp1,tmp2); + tmp1=IntersectcrvsPp(Gr1,Gr2,options); + apply(tmp1,#_1); +); + +NearestptcrvPhy(point,PL):=( + regional(tmp,pP,plist); + pP=Pcrd(point); + if(isstring(PL),plist=parse(PL),plist=PL); + if(MeasureDepth(plist)==2,plist=plist_1); + plist=apply(plist,#); // 14.12.18 + tmp=Nearestpt(pP,plist); + tmp=tmp_1; + [tmp_1/SCALEX,tmp_2/SCALEY]; +); + +Nearestptcrv(point,plist):=( +//help:Nearestptcrv(A,"gr1"); + regional(tmp); + tmp=Nearestpt(point,plist); + tmp_1; +); + +Nearestpt(point,PL2):=( + regional(PL1,PL,Ans,Flg,Eps,pA,Pm,Im,Sm,Nn,Ni, + a1,b1,a2,b2,v1,v2,x1,x2,Tmp,rT,pP,sS,Lm,Pm,Sm,Flg); +//help:Nearestpt("gr1","gr2"); + if(isstring(point),PL1=parse(point),PL1=point); + if(MeasureDepth(PL1)==2,PL1=PL1_1); + if(!islist(PL1_1), + PL1=[PL1]; + Flg=0; + , + Flg=1; + ); + if(isstring(PL2),PL=parse(PL2),PL=PL2); + if(MeasureDepth(PL)==2,PL=PL_1); + Eps=10^(-6); + Ans=[PL1_1,1,PL_1,1,|PL1_1-PL_1|]; + forall(1..length(PL1),Nn, // 16.05.04 + pA=PL1_Nn; + Pm=PL_1; + Im=1; + Sm=|Pm-pA|; + forall(1..(length(PL)-1),Ni, + a1=PL_Ni_1; a2=PL_Ni_2; + b1=PL_(Ni+1)_1; b2=PL_(Ni+1)_2; + v1=b1-a1; v2=b2-a2; + x1=pA_1; x2=pA_2; + Tmp=v2^2+v1^2; + if(abs(Tmp)>Eps, + rT=(-a2*v2-v1*a1+v1*x1+x2*v2)/Tmp; + if(rT<-Eps, + pP=[a1,a2]; + , + if(rT>1+Eps, + pP=[b1,b2]; + , + pP=[a1+rT*v1,a2+rT*v2]; + ); + ); + sS=|pP-pA|; + if(sS<Sm-Eps, + Tmp=ParamonCurve(pP,Ni,PL); + Pm=pP; Lm=Tmp; Sm=sS; + ); + ); + if(Sm<Ans_5, // 16.05.03from + Ans=[pA,Nn,Pm,Lm,Sm]; + ); + ); // 16.05.03upto + ); + if(Flg==0, + Ans=Ans_(3..5); + ); + Ans; +); + +Derivative(fun,var,value):=( +//help:Derivative("x^3","x",2); + regional(str,tmp); + str="d("; + str=str+replace(fun,var,"#")+","; + str=str+value+")"; + tmp=Pcrd([1,parse(str)]); // 14.11.08 + tmp_2; +); + +Integrate(pltdata,range):=Integrate(pltdata,range,[]); +Intergrate(Arg1,Arg2,Arg3):=( + regional(pltdata,range,options,fnstr,vartr); + if(islist(Arg2), + pltdata=Arg1; + range=Arg2; + options=Arg3; + Integrate(pltdata,range,options); + , + fnstr=Arg1; + vastr=Arg2; + range=Arg3; + Integrate(fnstr,vastr,range,[]); + ); +); + +Integrate(pltdata,range,options):=( +//help:Integrate("gr1",[1,3]); +//help:Integrate("gr1",[1,3],["Rule=t"]); + regional(tmp,tmp1,eqL,Rule,pdata,Sm,ptP,ptQ,list,va1,va2); + tmp=Divoptions(options); + eqL=tmp_5; + Rule="o"; + forall(eqL, + if(Toupper(substring(#,0,1))=="R", + tmp=indexof(#,"="); + Rule=substring(#,tmp,tmp+1); + ); + ); + if(Rule=="o", + Sm= IntegrateO(pltdata,range); + , + if(isstring(pltdata),pdata=parse(pltdata),pdata=pltdata); + if(MeasureDepth(pdata)==2,pdata=pdata_1); + va1=MeetCurve(pdata,range_1,0); + va2=MeetCurve(pdata,range_2,0); + list=select(pdata,(#_1>range_1 & #_1<range_2)); + list=apply(list,LLcrd(#)); // 15.09.14 + list=concat([va1],list); + list=concat(list,[va2]); + Sm=0; + forall(1..(length(list)-1), + ptP=list_#; // 15.09.14 + ptQ=list_(#+1); + Sm=Sm+(ptP_2+ptQ_2)*(ptQ_1-ptP_1)/2; + ); + Sm; + ); +); + +Integrate(fnstr,vastr,range,options):=( +//help:Integrate("sin(x)","x",[0,pi],["Num=100","Rule=s"]); + regional(tmp,tmp1,Sm,Lx,Rx,va1,va2,Num,Waysx,ex,dx,xn,yn,x0,x1,x2,y0,y1,y2); + Num=100; + Way="t"; + forall(options, + if(indexof(#,"=")>0, + if(indexof(#,"N=")>0, + Num=parse(substring(#,indexof(#,"="),length(#))); + ); + if(indexof(#,"Num=")>0, + Num=parse(substring(#,indexof(#,"="),length(#))); + ); + if(Toupper(substring(#,0,1))=="R", + tmp=indexof(#,"="); + Way=substring(#,tmp,tmp+1); + ); + ); + ); + Sm=0; + if(Way=="t", + forall(1..Num, + Lx=range_1+(range_2-range_1)*(#-1)/Num; + Rx=range_1+(range_2-range_1)*#/Num; + va1=parse(replace(fnstr,vastr,textformat(Lx,5))); + va2=parse(replace(fnstr,vastr,textformat(Rx,5))); + Sm=Sm+(va1+va2)*(Rx-Lx)/2; + ); + , + sx=range_1; + ex=range_2; + dx=(ex-sx)/Num; + xn=apply(0..Num,sx+#*dx); + yn=apply(xn,parse(replace(fnstr,vastr,textformat(#,5)))); + dx=dx/2; + repeat(Num,s, + x0=xn_s; + x1=(xn_s+xn_(s+1))/2; + x2=xn_(s+1); + y0=yn_s; + y1=parse(replace(fnstr,vastr,textformat(x1,5))); + y2=yn_(s+1); + Sm=Sm+dx*(y0+4*y1+y2)/3; + ); + ); + Sm; +); + +IntegrateO(p0org,p1org,p2org,p3org):=( + regional(p0,p1,p2,p3,pQ,pR,cc,p01,p02, + p11,p12,p21,p22,p31,p32, tmp); + if(ispoint(p0org),p0=p0org.xy,p0=p0org); // 16.03.10 + if(ispoint(p1org),p1=p1org.xy,p1=p1org); // 16.03.16 + if(ispoint(p2org),p2=p2org.xy,p2=p2org); + if(ispoint(p3org),p3=p3org.xy,p3=p3org); + tmp=1+sqrt((1+Dotprod(p2-p0,p3-p1)/|p2-p0|/|p3-p1|)/2); + cc=4*|p2-p1|/3/(|p2-p0|+|p3-p1|)/tmp; + pQ=p1+cc*(p2-p0); + pR=p2+cc*(p1-p3); + p01=p1_1; p02=p1_2; + p31=p2_1; p32=p2_2; + p11=pQ_1; p12=pQ_2; + p21=pR_1; p22=pR_2; + tmp=-6*p12*p01+3*p12*p21+3*p12*p31+6*p02*p11- + 10*p02*p01+3*p02*p21+p02*p31-3*p22*p11- + 3*p22*p01+6*p22*p31-3*p32*p11-p32*p01- + 6*p32*p21+10*p32*p31; + tmp=tmp/20; +); +IntegrateO(pltdata,rangeorg):=( +//help:IntegrateO("gr1",[0,2]); + regional(tmp,tmp1,tmp2,pdata,va1,va2,list,Bzk,Bzc,range,pmflg, + Sm,p0,p1,p2,p3,pQ,pR,cc,p01,p02,p11,p12,p21,p22,p31,p32); + if(isstring(pltdata),pdata=parse(pltdata),pdata=pltdata); + if(MeasureDepth(pdata)==2,pdata=pdata_1); + range=rangeorg; + pmflg=1; + if(range_2<range_1, + range=reverse(range); + pmflg=-1; + ); + va1=MeetCurve(pdata,range_1,0); + va2=MeetCurve(pdata,range_2,0); + list=select(pdata,(#_1>range_1 & #_1<range_2)); + if((length(list)>0) & (list_1_1>list_(length(list))_1), + list=reverse(list); +// pmflg=pmflg*(-1); + ); + list=apply(list,LLcrd(#)); + list=concat([va1],list); + list=concat(list,[va2]); + Sm=0; + forall(1..(length(list)-1), + p1=list_#; + p2=list_(#+1); + if(#==1 % #==length(list)-1, + tmp1=(p1_2+p2_2)*(p2_1-p1_1)/2; + Sm=Sm+tmp1; + , + p0=list_(#-1); + p3=list_(#+2); + tmp=1+sqrt((1+Dotprod(p2-p0,p3-p1)/|p2-p0|/|p3-p1|)/2); + cc=4*|p2-p1|/3/(|p2-p0|+|p3-p1|)/tmp; + pQ=p1+cc*(p2-p0); + pR=p2+cc*(p1-p3); + p01=p1_1; p02=p1_2; + p31=p2_1; p32=p2_2; + p11=pQ_1; p12=pQ_2; + p21=pR_1; p22=pR_2; + tmp1=-6*p12*p01+3*p12*p21+3*p12*p31+6*p02*p11- + 10*p02*p01+3*p02*p21+p02*p31-3*p22*p11- + 3*p22*p01+6*p22*p31-3*p32*p11-p32*p01- + 6*p32*p21+10*p32*p31; + tmp1=tmp1/20; + Sm=Sm+tmp1; + ); + ); + if(pmflg==-1, + Sm=-Sm; + ); + Sm; +); + +Findarea(pdstr):=( +//help:Findarea("sgABCA"); + regional(pd,p1,p2,s,tmp); + if(isstring(pdstr),pd=parse(pdstr),pd=pdstr); + s=0; + forall(1..(length(pd)-1), + p1=Lcrd(pd_#); + p2=Lcrd(pd_(#+1)); + tmp=(p1_2+p2_2)*(p2_1-p1_1)/2; + s=s+tmp; + ); + if(s<0,s=-s); + s; +); + +Findarea(pdstr):=( // 15.11.27 +//help:Findarea("cr1"); + regional(pd,p0,p1,p2,p3,s,tmp); + if(isstring(pdstr),pd=parse(pdstr),pd=pdstr); + s=0; + forall(1..(length(pd)-1), + p1=pd_#; + p2=pd_(#+1); + if(#==1,p0=pd_(length(pd)-1),p0=pd_(#-1)); + if(#==length(pd)-1,p3=pd_2,p3=pd_(#+2)); + tmp=IntegrateO(p0,p1,p2,p3); + s=s+tmp; + ); + if(s<0,s=-s); + s; +); + +Findlength(pdstr):=( +//help:Findlength("gr1"); + regional(pd,p1,p2,s,tmp); + if(isstring(pdstr),pd=parse(pdstr),pd=pdstr); + s=0; + forall(1..(length(pd)-1), + p1=Lcrd(pd_#); + p2=Lcrd(pd_(#+1)); + tmp=|p2-p1|; + s=s+tmp; + ); + s; +); + +Inversefun(fnstr,rngstr,value):=( + regional(tmp,varstr,range,x1,x2,x3,va1,va2); + tmp=indexof(rngstr,"="); + varstr=substring(rngstr,0,tmp-1); + range=parse(substring(rngstr,tmp,length(rngstr))); + x1=range_1; x2=range_2; + repeat(15, + x3=(x1+x2)/2; + va1=parse(replace(fnstr,varstr,textformat(x1,5))); + va2=parse(replace(fnstr,varstr,textformat(x3,5))); + if((va1>value & va2>value) % (va1<value & va2<value), + x1=x3; + , + x2=x3; + ); + ); + va1=parse(replace(fnstr,varstr,textformat(x1,5)))-value; + va2=parse(replace(fnstr,varstr,textformat(x2,5)))-value; + if(x1==range_1 % x2==range_2, + println("not found in ("+textformat(range_1,5) + +","+textformat(range_2,5)+")"); + ); + if(abs(va1)<=abs(va2),x1,x2); +); + +Lcrd(pt):=( + regional(tmp); + if(ispoint(pt), + tmp=[pt.x/SCALEX,pt.y/SCALEY]; + , + tmp=pt; + ); + tmp; +); + +Pcrd(pt):=( + regional(tmp); + if(ispoint(pt), + tmp=re(pt.xy); // 15.07.24 + , + tmp=[pt_1*SCALEX,pt_2*SCALEY]; + ); + tmp; +); + +LLcrd(pt):=( + regional(tmp); + if(ispoint(pt), + tmp=pt.xy + , + tmp=pt; + ); + tmp=[tmp_1/SCALEX,tmp_2/SCALEY]; + tmp; +); + +Doscaling(pltdata):=( + regional(Level,Out,gL,gr,tmp); + if(ispoint(pltdata) % isreal(pltdata_1), + gL=[[pltdata]]; + Level=0; + , + if(ispoint(pltdata_1) % isreal(pltdata_1_1), + gL=[pltdata]; + Level=1; + , + gL=pltdata; + Level=2; + ); + ); + Out=[]; + forall(gL,gr, + tmp=apply(gr,Lcrd(#)); + tmp=apply(tmp,LLcrd(#)); + Out=concat(Out,[tmp]); + ); + if(Level==0, + Out=Out_1_1; + ); + if(Level==1, + Out=Out_1; + ); + Out; +); + +Unscaling(pltdata):=( + regional(Level,Out,gL,gr,tmp); + if(ispoint(pltdata) % isreal(pltdata_1), + gL=[[pltdata]]; + Level=0; + , + if(ispoint(pltdata_1) % isreal(pltdata_1_1), + gL=[pltdata]; + Level=1; + , + gL=pltdata; + Level=2; + ); + ); + Out=[]; + forall(gL,gr, + tmp=apply(gr,Lcrd(#)); + tmp=apply(tmp,LLcrd(#)); + Out=concat(Out,[tmp]); + ); + if(Level==0, + Out=Out_1_1; + ); + if(Level==1, + Out=Out_1; + ); + Out; +); + +Definecolor(name,data):=( +//help:Definecolor("mycolor",[1,1,1,0]); + regional(type,tmp); + if(length(data)>3,type="cmyk",type="rgb"); + tmp=text(data); + tmp=substring(tmp,1,length(tmp)-1); + tmp="\definecolor{"+name+"}{"+type+"}{"+tmp+"}"; + Texcom(tmp); +); + +Setcolor(Par):=( +//help:Setcolor([1,0,0,1]); +//help:Setcolor([1,1,0]); + if(islist(Par), + if(length(Par)==3, + Setcolorrgb(Par); // 2015.04.28 +// KCOLOR=Par; + ); + if(length(Par)==4, + Setcolor(Par,[]); + ); + , + Setcolor(Par,[]); + ); +); + +Setcolor(colorname,options):=( +//help:Setcolor("greenyellow",0.3); + regional(tmp); + if(isstring(colorname), + tmp="Setcolor("+Dq+colorname+Dq; + if(length(options)>0, + tmp=tmp+","+text(options_1); + ); + Com2nd(tmp+")"); + ); + if(islist(colorname), + tmp=text(colorname); + tmp=substring(tmp,1,length(tmp)-1); + tmp="Texcom("+Dq+"\color[cmyk]{"+tmp+"}"+Dq+")"; + Com2nd(tmp); + ); +); + +Setcolorrgb(colorlist):=( +// help:Setcolorrgb([0.5,0.3,0.4]); + regional(tmp); + tmp=text(colorlist); + tmp=substring(tmp,1,length(tmp)-1); + tmp="Texcom("+Dq+"\color[rgb]{"+tmp+"}"+Dq+")"; + Com2nd(tmp); +); + +ColorRgb2Cmyk(clr):=( +// help:ColorRgb([0.2,0.5,0.1]); + regional(clrnew,tmp,black); + tmp=apply(clr,1-#); + black=min(tmp); + tmp=apply(clr,(1-#-black)/(1-black)); + clrnew=append(tmp,black); + clrnew; +); + +ColorCmyk2Rgb(clr):=( +// help:ColorRgb([0.2,0.5,0.1,0.2]); + regional(clrnew,tmp,black); + black=clr_4; + tmp=apply(clr,1-min(1,#*(1-black)+black)); + clrnew=tmp_(1..3); + clrnew; +); + +Colorrgbhsv(rgb):=( + regional(varR,varG,varB,varMin,varMax,delMax,hh,ss,vv,delR,delG,delB); + varR = rgb_1; + varG = rgb_2; + varB = rgb_3; + varMin = min( [varR, varG, varB] ); + varMax = max( [varR, varG, varB] ); + delMax = varMax - varMin ; + vv = varMax; + if ( delMax == 0 , + hh = 0 ; + ss = 0 ; + , + ss = delMax / varMax; + delR = ( ( ( varMax - varR ) / 6 ) + ( delMax / 2 ) ) / delMax; + delG = ( ( ( varMax - varG ) / 6 ) + ( delMax / 2 ) ) / delMax; + delB = ( ( ( varMax - varB ) / 6 ) + ( delMax / 2 ) ) / delMax; + if( varR == varMax , + hh = delB - delG; + , + if ( varG == varMax, + hh = ( 1 / 3 ) + delR - delB; + , + if ( varB == varMax , + hh = ( 2 / 3 ) + delG - delR; + ); + ); + ); + if ( hh < 0 ,hh = hh+1); + if ( hh > 1 ,hh = hh-1); + ); + [hh*360,ss,vv]; +); + +Colorhsvrgb(sL):=( + regional(tmp,tmp1,tmp2,tmp3,hi,ff,dL); + tmp=[sL_1/60,sL_2,sL_3]; + hi=mod(floor(tmp_1),6); + ff=tmp_1-floor(tmp_1); + tmp2=tmp_3*[1-tmp_2,1-tmp_2*ff,1-tmp_2*(1-ff)]; + tmp2=append(tmp2,tmp_3); + if(hi==0,dL=tmp2_[4,3,1]); + if(hi==1,dL=tmp2_[2,4,1]); + if(hi==2,dL=tmp2_[1,4,3]); + if(hi==3,dL=tmp2_[1,2,4]); + if(hi==4,dL=tmp2_[3,1,4]); + if(hi==5,dL=tmp2_[4,1,2]); + dL; +); + +Colorrgbhsl(rgb):=( + regional(rr,gg,bb,mn,mx,delta,deltaR,deltaG,deltaB,hh,ss,ll); + rr = rgb_1 ; + gg = rgb_2 ; + bb = rgb_3 ; + mn = min([rr, gg, bb]); + mx = max([rr, gg, bb]); + delta = mx - mn; + ll = (mx + mn) / 2; + if (delta == 0, + hh=0; + ss=0; + , + if (ll < 0.5, + ss = delta/ (mx + mn); + , + ss = delta / (2 - mx - mn); + ); + deltaR = (((mx - rr) / 6) + (delta / 2)) / delta; + deltaG = (((mx - gg) / 6) + (delta / 2)) / delta; + deltaB = (((mx - bb) / 6) + (delta / 2)) / delta; + if (rr == mx, + hh = deltaB - deltaG; + , + if (gg == mx, + hh = (1 / 3) + deltaR - deltaB; + , + if (bb == mx, + hh = (2 / 3) + deltaG - deltaR; + ); + ); + ); + if ( hh < 0, hh = hh+1); + if ( hh > 1, hh = hh-1); + ); + [hh*360,ss,ll]; +); + +Colorhslrgb(hsl):=( + regional(hh,ss,ll,rr,gg,bb,var1,var2); + hh=hsl_1/360; + ss=hsl_2; + ll=hsl_3; + if ( ss == 0.0, + rr = ll ; + gg = ll ; + bb = ll ; + , + if ( ll < 0.5 , + var2 = ll * ( 1.0 + ss ); + , + var2 = ( ll + ss ) - ( ss * ll ); + ); + var1 = 2.0 * ll - var2; + rr = hue2rgb( var1, var2, hh + ( 1.0 / 3.0 ) ); + gg = hue2rgb( var1, var2, hh ); + bb = hue2rgb( var1, var2, hh - ( 1.0 / 3.0 ) ); + ); + [rr,gg,bb]; +); + +hue2rgb(vv1,vv2,vh):=( + regional(out); + if ( vh < 0.0 ,vh =vh+1); + if ( vh > 1.0 ,vh =vh-1); + if ( 6.0*vh < 1.0 , + out = vv1 + ( vv2 - vv1 ) * 6.0 * vh ; + , + if( 2.0*vh < 1.0 , + out = vv2; + , + if ( 3.0*vh < 2.0 , + out = vv1 + ( vv2 - vv1 ) * ( ( 2.0 / 3.0 ) - vh ) * 6.0 ; + , + out= vv1 ; + ); + ); + ); + out; +); + +Colorrgbhwb(sL):=( + regional(dl1,dl2,dl3); + dl1 = Colorrgbhsl(sL)_1;//Colorcode("rgb","hsl",sL)_1; + dl2 = min(sL); + dl3 = 1 - max(sL); + dL= [dl1, dl2 , dl3 ]; +); + +Colorhwbrgb(sLorg):=( + regional(sL,tmp,tmp1,tmp2,tmp3,ratio,ff,ii,vv,nn,dL,flg); + sL=sLorg; + sL=[sL_1/360,sL_2,sL_3]; + ratio = sL_2 + sL_3; + // sL_2 + sL_3 cant be > 1 + if (ratio > 1., + sL_2 =sL_2 / ratio; + sL_3 = sL_3 / ratio; + ); + ii = floor(6 * sL_1); + vv = 1 - sL_3; + ff = 6 * sL_1 - ii; + if(mod(ii,2)==1,ff = 1 - ff); + nn = sL_2 + ff * (vv - sL_2); // linear interpolation + tmp=[[vv,nn,sL_2],[nn,vv,sL_2],[sL_2,vv,nn], + [sL_2,nn,vv],[nn,sL_2,vv],[vv,sL_2,nn],[vv,nn,sL_2]]; + flg=0; + forall(0..6, + if(flg==0 & ii == # , + dL=tmp_(#+1); + flg=1; + ); + ); + dL; +); + +Colorhslhsv(sL):=( + regional(dl1,dl2,dl3,dL); + dl1=sL_1; + if(sL_3 == 0, + // no need to do calc on black + // also avoids divide by 0 error + dL= [0, 0, 0]; + , + sL_3 = sL_3 * 2; + if(sL_3 <= 1,sL_2 = sL_2 * sL_3,sL_2 = sL_2 * (2 - sL_3)); + dl3 = (sL_3 + sL_2) / 2; + dl2 = (2 * sL_2) / (sL_3 + sL_2); + dL = [dl1, dl2, dl3]; + ); + dL; +); + +Colorcode(src,dest,sL):=( +//help:Colorcode("rgb","cmyk",[1,0.5,0]); + regional(tmp,tmp1,tmp2,tmp3,mn,mx,delta,black,dL,flg); + regional(dl1,dl2,dl3); + if(src=="rgb" & dest=="hsv", dL=Colorrgbhsv(sL)); + if(src=="hsv" & dest=="rgb", dL=Colorhsvrgb(sL)); + if(src=="rgb" & dest=="hsl", dL=Colorrgbhsl(sL)); + if(src=="hsl" & dest=="rgb", dL=Colorhslrgb(sL)); + if(src=="rgb" & dest=="hwb", dL=Colorrgbhwb(sL)); + if(src=="hwb" & dest=="rgb", dL=Colorhwbrgb(sL)); + if(src=="hsl" & dest=="hsv", dL=Colorhslhsv(sL)); + if(src=="hsv" & dest=="hsl", + dl1 = sL_1; + dl3 = (2 - sL_2) * sL_3; + dl2 = sL_2 * sL_3; + if(dl3 <= 1,dl2 = dl2/dl3,dl2=dl2/(2 - dl3)); + dl3 =d l3/ 2; + dL = [dl1, dl2 , dl3 ]; + ); + + if(src=="rgb" & dest=="cmyk", + tmp=apply(sL,1-#); + black=min(tmp); + tmp=apply(sL,(1-#-black)/(1-black)); + dL=append(tmp,black); + ); + if(src=="cmyk" & dest=="rgb", + black=sL_4; + tmp=apply(sL,1-min(1,#*(1-black)+black)); + dL=tmp_(1..3); + ); + if(src=="hsv" & dest=="cmyk", + tmp=Colorcode("hsv","rgb",sL); + dL=Colorcode("rgb","cmyk",tmp); + ); + if(src=="cmyk" & dest=="hsv", + tmp=Colorcode("cmyk","rgb",sL); + dL=Colorcode("rgb","hsv",tmp); + ); + + if(src=="hsv" & dest=="hwb", + tmp = Colorcode("hsv","rgb",sL); + dL = Colorcode("rgb","hwb",tmp); + ); + if(src=="hwb" & dest=="hsv", + tmp = Colorcode("hwb","rgb",sL); + dL = Colorcode("rgb","hsv",tmp); + ); + if(src=="hsl" & dest=="hwb", + tmp = Colorcode("hsl","rgb",sL); + dL = Colorcode("rgb","hwb",tmp); + ); + if(src=="hwb" & dest=="hsl", + tmp = Colorcode("hwb","rgb",sL); + dL = Colorcode("rgb","hsl",tmp); + ); + if(src=="hsl" & dest=="cmyk", + tmp = Colorcode("hsl","rgb",sL); + dL = Colorcode("rgb","cmyk",tmp); + ); + if(src=="hwb" & dest=="cmyk", + tmp = Colorcode("hwb","rgb",sL); + dL = Colorcode("rgb","cmyk",tmp); + ); + if(src=="cmyk" & dest=="hsl", + tmp = Colorcode("cmyk","rgb",sL); + dL = Colorcode("rgb","hsl",tmp); + ); + if(src=="cmyk" & dest=="hwb", + tmp = Colorcode("cmyk","rgb",sL); + dL = Colorcode("rgb","hwb",tmp); + ); + if(src=="hsb" & dest=="rgb",dL=Colorcode("hsv","rgb",sL)); + if(src=="rgb" & dest=="hsb",dL=Colorcode("rgb","hsv",sL)); + + if(src=="hsb" & dest=="hsl",dL=Colorcode("hsv","hsl",sL)); + if(src=="hsl" & dest=="hsb",dL=Colorcode("hsl","hsv",sL)); + + if(src=="hsb" & dest=="hwb",dL=Colorcode("hsv","hwb",sL)); + if(src=="hwb" & dest=="hsb",dL=Colorcode("hwb","hsv",sL)); + + if(src=="hsb" & dest=="cmyk",dL=Colorcode("hsv","cmyk",sL)); + if(src=="cmyk" & dest=="hsb",dL=Colorcode("cmyk","hsv",sL)); + + dL; +); + +Addcolor(cmdorg,list):=( +//help:Addcolor("Plotdata('1','x^2','x',[])",[1,1,0]); + regional(rgb,cmyk,cmd,tmp,tmp1,tmp2,tmp3,tmp4); + cmd=replace(cmdorg,"'",Dq); + if(length(list)==3, + rgb=list; + cmyk=Colorcode("rgb","cmyk",list); + , + cmyk=list; + rgb=Colorcode("cmyk","rgb",list); + ); + tmp1="color->"+text(rgb); + tmp2="Setcolor("+text(cmyk)+");"; + tmp3=substring(cmd,0,length(cmd)-2); + tmp=substring(tmp3,length(tmp3)-1,length(tmp3)); + if(tmp!="[", + tmp3=tmp3+","; + ); + tmp3=tmp3+Dq+tmp1+Dq+"])"; + parse(tmp2); + parse(tmp3); + Setcolor("black"); +); + +Colorinfile(filename,clrf,clrt):=( + regional(tmp,tmp1,tmp2,head,cstrL,chstrL,head,body); + if(length(clrf_1)==3, + head="[rgb]{"; + , + head="[cmyk]{"; + ); + tmp=apply(clrf,text(#)); + cstrL=apply(tmp,head+substring(#,1,length(#)-1)+"}"); + if(length(clrt_1)==3, + head="[rgb]{"; + , + head="[cmyk]{"; + ); + tmp=apply(clrt,text(#)); + chstrL=apply(tmp,head+substring(#,1,length(#)-1)+"}"); + tmp1=load(filename); + tmp=tokenize(tmp1,"{\unitlength"); + head=tokenize(tmp_1,"%%%"); + head=head_(2..length(head)); + head=apply(head,"%%%"+#); + tmp2=tmp_2; + forall(1..5, + tmp2=replace(tmp2,cstrL_#,chstrL_#); + ); + body=tokenize(tmp2,"%"); + body_1="{\unitlength"+body_1; + body=apply(body,#+"%"); + body=body_(1..(length(body)-1)); + tmp=replace(filename,".tex","new.tex"); + SCEOUT=openfile(tmp); + forall(head, + println(SCEOUT,#); + ); + forall(1..length(body), + tmp=body_#; + if(#<length(body), + println(SCEOUT,tmp); + , + print(SCEOUT,tmp) + ); + ); + closefile(SCEOUT); +); + +GetLinestyle(str,name):=( + regional(noflg,tmp,tmp1,tmp2,Dop,Ltype,subflg); + Ltype=-1; + Dop=""; + tmp1=indexof(str,","); + if(tmp1>0, + Dop=","+substring(str,tmp1,length(str)); + ); + noflg=parse(substring(str,0,1)); + if(substring(name,0,3)=="sub",subflg=1,subflg=0); // 16.02.29 + tmp1=substring(str,1,3); + if(tmp1=="dr" % tmp1=="Dr", + Ltype=0; + if(noflg==0 & subflg==0, // 16.02.29 + Drwline(name+Dop); + ); + ); + if(tmp1=="da" % tmp1=="Da", + Ltype=1; + if(noflg==0 & subflg==0, // 16.02.29 + Dashline(name+Dop); + ); + ); + if(tmp1=="id" % tmp1=="Id", + Ltype=2; // 15.11.09 + if(noflg==0 & subflg==0, // 16.02.29 + Invdashline(name+Dop); + ); + ); + if(tmp1=="do" % tmp1=="Do", + Ltype=3; + if(noflg==0 & subflg==0, // 16.02.29 + Dottedline(name+Dop); + ); + ); + if(tmp1=="dp" % tmp1=="Dp", + Ltype=0; + tmp1=parse(name); + tmp2=""; + forall(tmp1, + tmp2=tmp2+textformat(#_1,5)+","; + ); + tmp2=substring(tmp2,0,length(tmp2)-1); + if(noflg==0, + Drwpt(tmp2+Dop); + ); + ); + if(tmp1=="no" % tmp1=="No", + Ltype=10; + ); + Ltype; +); + +Chunderscore(str):=( + regional(flg,tmp,tmp1,tmp2,tmp3); + if(indexof(str,"]")>0, + tmp1=replace(str,"]",",]"); + , + tmp1=str+","; + ); + flg=0; + tmp2=[]; + tmp3=0; + forall(1..length(tmp1), + if(flg==0, + tmp=substring(tmp1,tmp3,length(tmp1)); + tmp=indexof(tmp,"_"); + if(tmp==0, + flg=1; + , + tmp3=tmp3+tmp; + tmp=substring(tmp1,tmp3,length(tmp1)); + tmp=indexof(tmp,",")-1; + tmp=substring(tmp1,tmp3,tmp3+tmp); + tmp2=append(tmp2,tmp); + ); + ); + ); + forall(tmp2, + tmp1=replace(tmp1,"_"+#,"("+#+")"); + ); + if(indexof(str,"]")>0, + tmp1=replace(tmp1,",]",")"); + tmp1=replace(tmp1,"[","list("); + , + tmp1=substring(tmp1,0,length(tmp1)-1); + ); + tmp1; +); + +//AddGraph(pltdata):=AddGraph("-"+pltdata,pltdata,[]); +AddGraph(nm,pltdata):=AddGraph(nm,pltdata,[]); +// if(isstring(Arg2), +// AddGraph(Arg1,Arg2,[]); +// , +// if(MeasureDepth(Arg2)>0, +// Addgraph(Arg1,Arg2,[]); +// , +// Addgraph("-"+Arg1,Arg1,Arg2); +// ); +// ); +//); +AddGraph(nm,pltdata,options):=( +//help:AddGraph("1","imp1"); // 16.04.04 +//help:Addgraph("1",["[pt1]","gr1"],["nodisp"]); + regional(name,Ltype,Noflg,opcindy,pdata,fname,flg, + tmp,tmp1,tmp2,tmp3); + if(substring(nm,0,1)=="-", + name=substring(nm,1,length(nm)); + , + name="ad"+nm; + ); + tmp=Divoptions(options); + Ltype=tmp_1; + Noflg=tmp_2; + opcindy=tmp_9; + if(isstring(pltdata), + pdata=parse(pltdata) + , + if(!islist(pltdata),pdata=[pltdata],pdata=pltdata); + pdata=apply(pdata,parse(#)); + ); // 15.01.22 + pdata=Flattenlist(pdata); + tmp1=[]; + forall(pdata,tmp2, + tmp=apply(tmp2,Pcrd(#)); + tmp1=append(tmp1,tmp); + ); + if(length(tmp1)==1,tmp1=tmp1_1); + pdata=tmp1; + if(Noflg<3, + println("generate addgraph "+name); + tmp=name+"="+textformat(pdata,5); + parse(tmp); + if(isstring(pltdata), // 16.04.04 from + if(indexof(pltdata,"]")>0, + tmp1="list(Listplot("+substring(pltdata,1,length(pltdata)); + tmp1=replace(tmp1,"]",",]"); + , + tmp1="Listplot("+substring(pltdata,0,length(pltdata))+",]"; + ); + flg=0; + tmp2=[]; + tmp3=0; + forall(1..length(tmp1), + if(flg==0, + tmp=indexof(substring(tmp1,tmp3,length(tmp1)),"_"); + if(tmp==0, + flg=1; + , + tmp3=tmp3+tmp; + tmp=indexof(substring(tmp1,tmp3,length(tmp1)),",")-1; + tmp=substring(tmp1,tmp3,tmp3+tmp); + tmp2=append(tmp2,tmp); + ); + ); + ); + forall(tmp2, + tmp1=replace(tmp1,"_"+#,"("+#+")"); + ); + tmp1=replace(tmp1,",]",")"); + tmp1=replace(tmp1,",","),Listplot("); + if(indexof(pltdata,"[")>0, + tmp1=tmp1+")"; + ); + GLIST=append(GLIST,name+"="+tmp1); + , + if(MeasureDepth(pdata)==1, + tmp1=name+"=Listplot("+textformat(pdata,5)+")"; + , + tmp1="list("; + forall(1..length(pdata), + tmp=name+"p"+textformat(#,5)+"="; + if(length(pdata_#)>1, // 15.01.22 + tmp=tmp+"Listplot("+textformat(pdata_#,5)+")"; + , + tmp=tmp+"Pointdata("+textformat(pdata_#_1,5)+")"; + ); + GLIST=append(GLIST,tmp); + tmp1=tmp1+name+"p"+textformat(#,5)+","; + ); + tmp1=name+"="+substring(tmp1,0,length(tmp1)-1)+")"; + ); + GLIST=append(GLIST,tmp1); + ); + ); // 16.04.04 upto + if(Noflg<2, + if(isstring(Ltype), + Ltype=GetLinestyle(text(Noflg)+Ltype,name); + , + if(Noflg==1,Ltype=0); + ); + GCLIST=append(GCLIST,[name,Ltype,opcindy]); + ); +); + +Joincrvs(nm,plotstrL):=Joincrvs(nm,plotstrL,[]); +Joincrvs(nm,plotstrL,options):=( +//help:Joincrvs("1",["sgAB","sgDCB"]); + regional(plotlist,PtL,Eps,QdL,Flg,Ni,Qd,pP,pS,pQ,pR,rMN, + opcindy,tmp,tmp1,tmp2,str,name,Ltype,Noflg); + name="join"+nm; + plotlist=[]; + forall(plotstrL,str, + if(isstring(str), + tmp=parse(str); + tmp=apply(tmp,LLcrd(#)); + , + tmp=str; + ); + plotlist=append(plotlist,tmp); + ); + Eps=10^(-4); + tmp=Divoptions(options); + Ltype=tmp_1; + Noflg=tmp_2; + opcindy=tmp_(length(tmp)); + tmp1=tmp_6; + if(length(tmp1)>0,Eps=tmp1_1); + QdL=[]; + forall(plotlist,Qd, + if(ispoint(Qd_1) % !islist(Qd_1_1), + QdL=concat(QdL,[Qd]); + , + forall(Qd, + QdL=concat(QdL,[#]); + ); + ); + ); + Flg=0; + if(length(QdL)==0, + PtL=[]; + Flg=1; + ); + if(Flg==0, + PtL=QdL_1; + forall(2..length(QdL),Ni, + Qd=QdL_Ni; + if(Numptcrv(Qd)>1, + pP=Ptend(PtL); + pS=Ptstart(PtL); + pQ=Ptstart(Qd); + pR=Ptend(Qd); + rMN=min([|pP-pQ|,|pP-pR|,|pS-pQ|,|pS-pR|]); + if(rMN==|pP-pR|, + Qd=reverse(Qd); + , + if(rMN==|pS-pQ|, + PtL=reverse(PtL); + , + if(rMN==|pS-pR|, + PtL=reverse(PtL); + Qd=reverse(Qd); + ); + ); + ); + ); + if(rMN>Eps, + PtL=concat(PtL,Qd); + , + PtL=concat(PtL,Qd_(2..length(Qd))); + ); + ); + ); + if(Noflg<3, + println("generate joincurve "+name); + tmp1=apply(PtL,Pcrd(#)); + tmp=name+"="+textformat(tmp1,5); + parse(tmp); + tmp1=""; + forall(plotstrL, + tmp1=tmp1+#+","; + ); + tmp1=substring(tmp1,0,length(tmp1)-1); + GLIST=append(GLIST,name+"=Joincrvs("+tmp1+")"); + ); + if(Noflg<2, + if(isstring(Ltype), + Ltype=GetLinestyle(text(Noflg)+Ltype,name); + , + if(Noflg==1,Ltype=0); + ); + GCLIST=append(GCLIST,[name,Ltype,opcindy]); + ); + PtL; +); + +Partcrv(nm,pA,pB,PkLstr):=Partcrv(nm,pA,pB,PkLstr,[]); +Partcrv(nm,pA,pB,PkLstr,options):=( +//help:Partcrv("1",A,B,"sgABC"); +//help:Partcrv("1",1.3,2.5,"sgABC"); + regional(PkL,Ans,Eps,Npt,Out1,Out2,tmp,tmp1,Flg,nS,nE,PPL,pP, + opcindy,Ta,Tb,name,Ltype,Noflg,DepthFlg); + name="part"+nm; + if(isstring(PkLstr),PkL=parse(PkLstr),PkL=PkLstr); + DepthFlg=0; + if(MeasureDepth(PkL)==2, + PkL=PkL_1; + DepthFlg=1; + ); + PkL=apply(PkL,LLcrd(#)); + tmp=Divoptions(options); + Ltype=tmp_1; + Noflg=tmp_2; + opcindy=tmp_(length(tmp)); + Eps=10^(-3); + Flg=0; + if(isreal(pA), + if(pA>pB+Eps, + Npt=Numptcrv(PkL); + Out1=Partcrv("",pA,Npt,PkLstr,["nodata"]); + Out2=Partcrv("",1,pB,PkLstr,["nodata"]); + tmp=Ptstart(PkL)-Ptend(PkL); + if(|tmp|<Eps, + Ans=Joincrvs("",[Out1,Out2],["nodata"]); + , + Ans=[apply(Out1,Pcrd(#)),apply(Out2,Pcrd(#))]; + ); + Flg=1; + ); + if(Flg==0, + nS=ceil(pA); + nE=floor(pB); + PPL=[]; + if(pA<nS-Eps, + pP=(nS-pA)*PkL_(nS-1)+(1-nS+pA)*PkL_nS; + PPL=[pP]; + ); + PPL=concat(PPL,PkL_(nS..nE)); + if(pB>nE+Eps, + pP=(1-pB+nE)*PkL_nE+(pB-nE)*PkL_(nE+1); + PPL=concat(PPL,[pP]); + ); + Ans=PPL; + Flg=1; + ); + ); + if(Flg==0, + tmp=Nearestpt(LLcrd(Pcrd(pA)),PkL); + Ta=tmp_2; + tmp=Nearestpt(LLcrd(Pcrd(pB)),PkL); // 15.09.12 + Tb=tmp_2; + Ans=Partcrv("",Ta,Tb,PkL,["nodata"] ); + Ans=apply(Ans,Pcrd(#)); + ); + if(Noflg<3, + println("generate partcrv "+name); + tmp1=apply(Ans,Pcrd(#)); + tmp=name+"="+textformat(tmp1,5); + parse(tmp); +// GLIST=append(GLIST, // 16.04.03 + if(DepthFlg==0, + tmp=PkLstr; + , + tmp=PkLstr+"(1)"; + ); + tmp1=name+"=Partcrv("+textformat(Lcrd(pA),5) + +","+textformat(Lcrd(pB),5)+","+tmp+")"; // 16.04.03 + GLIST=append(GLIST,tmp1); + ); + if(Noflg<2, + if(isstring(Ltype), + Ltype=GetLinestyle(text(Noflg)+Ltype,name); + , + if(Noflg==1,Ltype=0); + ); + GCLIST=append(GCLIST,[name,Ltype,opcindy]); + ); + Ans; +); + +Opcrvs(num,Fig):=Opcrvs(num,Fig,["nodisp"]); +Opcrvs(num,Fig,options):=( + //help:Subgraph(2,"grfs"); + regional(name,tmp,tmp1); + name="-"+Fig+text(num); + tmp=Fig+"_"+text(num); + tmp1=parse(tmp); + Listplot(name,tmp1,options); +); + + +Pointdata(nm,list):=Pointdata(nm,list,[]); +Pointdata(nm,list,options):=( +//help:Pointdata("1",[2,4],["Size=5"]); +//help:Pointdata("2",[[2,3],[4,1]]); + regional(name,nameL,ptlist,opstr,opcindy, + eqL,size,thick,tmp,tmp1,tmp2,tmp3,Ltype,Noflg); + name="pt"+nm; + nameL=name+"L"; + println("generate pointdata "+name); + tmp=Divoptions(options); + Ltype=tmp_1; + Noflg=tmp_2; + opcindy=tmp_(length(tmp)); + opstr=tmp_(length(tmp)-1); + size=""; + eqL=tmp_5; + if(length(eqL)>0, + forall(eqL, + tmp=substring(#,0,1); + if(tmp=="s" % tmp=="S", + tmp=indexof(#,"="); + size=substring(#,tmp,length(#)); + ); + ); + ); + tmp=MeasureDepth(list); + if(tmp>0, // 2015.02.21 + if(tmp==1,ptlist=list,ptlist=list_1); + tmp=apply(ptlist,[textformat(Pcrd(#),5)]); + tmp1=text(tmp); + tmp2=substring(tmp1,1,length(tmp1)-1); + tmp3=tmp1; + , + ptlist=list; + tmp1=textformat(Pcrd(ptlist),5); + tmp2=tmp1; + tmp3="["+tmp1+"]"; + ); + tmp=name+"="+tmp1; + parse(tmp); + tmp=nameL+"="+tmp3; + parse(tmp); + if(Noflg<3, + GLIST=append(GLIST,name+"=Pointdata("+tmp2+")"); + ); + if(Noflg<2, + tmp=[nameL,0,opcindy]; + GCLIST=append(GCLIST,tmp); + if(Noflg==0, + if(length(size)>0, + Com2nd("Setpt("+size+")"); + ); + thick=PenThick/PenThickInit; // 16.04.09 from + if(length(size)>0,tmp1=parse(size),tmp1=1); + tmp1=max(tmp1,1)/8; + Setpen(tmp1); // 16.04.09 upto + Com2nd("Drwpt(list("+name+")"+opstr+")"); + Setpen(thick); // 16.04.09 + if(length(size)>0, + Com2nd("Setpt("+textformat(TenSize/TenSizeInit,1)+")"); + ); + ); + ); + ptlist; +); + +Listplot(nm,list,options):=( +//help:Listplot([A,B]); +// help:Listplot(["A","B"]); +//help:Listplot("1",[[2,1],[3,3]]); +//help:Listplot(options2=["Msg=yes"]); + regional(name,tmp,tmp1,ptlist,Ltype,opcindy,Noflg,eqL,Msg); + if(substring(nm,0,1)=="-", // 16.01.27 from + name=substring(nm,1,length(nm)); + , + name="sg"+nm; + ); // upto + tmp=Divoptions(options); + Ltype=tmp_1; + Noflg=tmp_2; + eqL=tmp_5; + opcindy=tmp_(length(tmp)); + Msg=1; // 15.09.17 + forall(eqL, + tmp=substring(#,0,1); + if(Toupper(tmp)=="M", + tmp=indexof(#,"="); + tmp1=substring(#,tmp,tmp+1); // 16.06.28 + if(Toupper(tmp1)=="N", // 16.06.28 + Msg=0; + ); + ); + ); + if(Noflg<3, + if(Msg==1, + println("generate Listplot "+name); + ); + if(isstring(list_1),tmp=apply(list,parse(#)),tmp=list); // 15.03.24 + ptlist=apply(tmp,Pcrd(#)); + tmp=name+"="+textformat(ptlist,5); + parse(tmp); + GLIST=append(GLIST,name+"=Listplot("+textformat(list,5)+")"); // 15.12.23 + ); + if(Noflg<2, + if(isstring(Ltype), + Ltype=GetLinestyle(text(Noflg)+Ltype,name); + , + if(Noflg==1,Ltype=0); + ); + GCLIST=append(GCLIST,[name,Ltype,opcindy]); + ); + tmp1=apply(list,Lcrd(#)); + tmp1; +); +Listplot(Arg1,Arg2):=( + regional(name,list,options,str); + if(isstring(Arg1), + name=Arg1; + list=Arg2; + Listplot(name,list,[]); + , + list=Arg1; + options=Arg2; + name=""; + forall(list, // 16.10.07from + name=name+#.name; + );// 16.10.07upto + Listplot(name,list,options); + ); +); +Listplot(list):=Listplot(list,[]); + +Lineplot(nm,list,options):=( +//help:Lineplot([A,B]); +//help:Lineplot("1",[[2,1],[3,3]]); + regional(name,Out,tmp,tmp1,opstr,opcindy,Mag,Semi, + Vec,pA,pB,Ltype,Noflg); + name="ln"+nm; + Mag=100; + Semi=""; + tmp=Divoptions(options); + Ltype=tmp_1; + Noflg=tmp_2; + opcindy=tmp_(length(tmp)); + opstr=tmp_(length(tmp)-1); + tmp1=tmp_6; + if(length(tmp1)>0,Mag=tmp1_1); + tmp1=tmp_7; + if(length(tmp1)>0,Semi=tmp1_1); + pA=Lcrd(list_1); pB=Lcrd(list_2); + Vec= Mag/dist(pA,pB)*(pB-pA); + if(length(Semi)==0, + Out=[pA-Vec,pA+Vec]; + , + if(Semi=="+", + Out=[pA,pA+Vec]; + , + Out=[pA-Vec,pA]; + ); + ); + if(Noflg<3, + println("generate Lineplot "+name); + tmp1=apply(Out,Pcrd(#)); + tmp=name+"="+textformat(tmp1,5); + parse(tmp); + GLIST=append(GLIST,name+"=Lineplot("+textformat(list,5)+opstr+")"); + ); + if(Noflg<2, + if(isstring(Ltype), + Ltype=GetLinestyle(text(Noflg)+Ltype,name); + , + if(Noflg==1,Ltype=0); + ); + GCLIST=append(GCLIST,[name,Ltype,opcindy]); + ); + Out; +); +Lineplot(Arg1,Arg2):=( + regional(name,list,options,str); + if(isstring(Arg1), + name=Arg1; + list=Arg2; + Lineplot(name,list,[]); + , + list=Arg1; + options=Arg2; + name=""; + forall(list, // 16.10.07from + name=name+#.name; + );// 16.10.07upto + Lineplot(name,list,options); + ); +); +Lineplot(list):=Lineplot(list,[]); + +Plotdata(name1,func,variable):=Plotdata(name1,func,variable,[]); +Plotdata(name1,func,variable,options):=( +//help:Plotdata("1","sin(x)","x",["Num=100"]); +//help:Plotdata("2","x^2","x=[-1,1]"); +//help:Plotdata("3","Fout(x)","x",["out"]); + regional(Fn,Va,tmp,tmp1,tmp2,eqL,name,Vname,x1,x2,dx, + PdL,QdL,Num,Ec,Dc,Fun,Exfun,x,Ke,Eps,Pa, + Ltype,Noflg,Inflg,Outflg,opstr,opcindy); + name="gr"+name1; + tmp=Divoptions(options); + Ltype=tmp_1; + Noflg=tmp_2; + Inflg=tmp_3; + Outflg=tmp_4; + opstr=tmp_(length(tmp)-1); + opcindy=tmp_(length(tmp)); + eqL=tmp_5; + Num=50; + Ec=[]; + Exfun=""; + Dc=1000; + forall(eqL, + tmp=indexof(#,"="); + tmp1=substring(#,tmp,length(#)); + opstr=opstr+",'"+#+"'"; + if(substring(#,0,1)=="N", + Num=parse(tmp1); + ); + if(substring(#,0,1)=="E", + if(substring(tmp1,0,1)=="[", + Ec=parse(tmp1); + , + Exfun=tmp1; + ); + ); + if(substring(#,0,1)=="D", + Dc=parse(tmp1); + ); + ); + if(Inflg==0 & Outflg==0, + Eps=10^(-3); + tmp=replace(func,LFmark,""); + tmp=tokenize(variable,"="); + Vname=tmp_1; + if(length(tmp)>1, + tmp=tmp_2; + tmp=parse(tmp); + x1=tmp_1; + x2=tmp_2; + , + x1=XMIN; + x2=XMAX; + ); + // dx=(x2-x2)/Num; + Ec=append(sort(Ec),10000); + Fun=Assign(func,Vname, "xx"); + Exfun=Assign(Exfun,Vname, "xx"); + PdL=[]; + Ke=1; + forall(0..Num, + xx=x1+#*(x2-x1)/Num; // differs from Scilab ( / Num-1) + if(length(Exfun)>0, + tmp=parse(Exfun); + if(abs(tmp)<Eps, + if(length(Pdt)>0, + PdL=concat(PdL,["inf"]); + ); + ); + , + Pa=[]; + if(xx-Ec_Ke<-Eps, + Pa=[xx,parse(Fun)]; + ); + if(abs(xx-Ec_Ke)<=Eps, + if(length(PdL)>0, + if(PdL_(length(PdL))_1!="inf", + Pa=["inf"]; + ); + ); + ); + if(xx-Ec_Ke>Eps, + Pa=[xx,parse(Fun)]; + Ke=Ke+1; + ); + if(length(Pa)>0, + if(Pa_1=="inf", + PdL=concat(PdL,[Pa]); + , + if(length(PdL)==0, + PdL=[Pa]; + , + tmp=PdL_(length(PdL)); + if(tmp_1=="inf", + PdL=concat(PdL,[Pa]); + , + if(dist(tmp,Pa)<Dc, + PdL=concat(PdL,[Pa]); + , + PdL=concat(PdL,[["inf"],Pa]); + ); + ); + ); + ); + ); + ); + ); + tmp1=[]; + tmp2=select(1..length(PdL),PdL_#==["inf"]); + tmp=1; + forall(tmp2, + if(#>tmp, + tmp1=concat(tmp1,[PdL_(tmp..(#-1))]) + ); + tmp=#+1; + ); + if(tmp<length(PdL), + tmp1=concat(tmp1,[PdL_(tmp..length(PdL))]); + ); + PdL=tmp1; + if(length(PdL)==1, + PdL=PdL_1; + ); + if(Noflg<3, + println("generate Plotdata "+name); + if(MeasureDepth(PdL)==1, + tmp1=apply(PdL,Pcrd(#)); + , + tmp1=[]; + forall(PdL,tmp2, + tmp1=append(tmp1,apply(tmp2,Pcrd(#))); + ); + ); + tmp=name+"="+textformat(tmp1,5); + parse(tmp); + tmp1=replace(func,LFmark,""); + tmp2=replace(variable,LFmark,""); + tmp=name+"=Plotdata('"+tmp1+"','"+tmp2+"'"+opstr+")"; + GLIST=append(GLIST,tmp); + ); + if(Noflg<2, + if(isstring(Ltype), + Ltype=GetLinestyle(text(Noflg)+Ltype,name); + , + if(Noflg==1,Ltype=0); + ); + GCLIST=append(GCLIST,[name,Ltype,opcindy]); + ); + PdL; + , + // Inflg or Outflg >0 15.05.15 + if(Noflg<3, + if(Outflg==1, + println("Output Plotdata "+name); + tmp=name+"=Plotdata('"+func+"','"+variable+"'"+opstr+")"; + GLIST=append(GLIST,tmp); + SCIWRLIST=append(SCIWRLIST,name); + if(Inflg==0,Inflg=1); // 15.05.17 + ); + if(Inflg==1, + println("Input Plotdata "+name); + if(length(SCIRELIST)==0, + ReadOutData(Fnameout); + ); + tmp=parse(name); + if(islist(tmp), + Extractdata(name,["nodisp"]); // 12.19 + ); + tmp="// "+name+"=Plotdata('"+func+"','"+variable+"'"+opstr+")"; + Com1st(tmp); + SCIRELIST=append(SCIRELIST,name); + ); + ); + if(Noflg<2, + if(isstring(Ltype), + Ltype=GetLinestyle(text(Noflg)+Ltype,name); + , + if(Noflg==1,Ltype=0); + ); + if(Inflg==1, + GCLIST=append(GCLIST,[name,Ltype,opcindy]); + ); + ); + ); +); + +Paramplot(name1,funstr,variable):=Paramplot(name1,funstr,variable,[]); +Paramplot(name1,funstr,variable,options):=( +//help:Paramplot("1","[2*cos(t),sin(t)]","t=[0,2*pi]"); + regional(name,Out,tmp,tmp1,tmp2,vname,func,str,Rng,Num, + Ec,Exfun,Dc,eqL,Fntmp,Vatmp,t1,t2,dt,tt,pa,ke, + Ltype,Noflg,Inflg,Outflg,opstr,opcindy); + name="gp"+name1; + Eps=10^(-4); + tmp=Divoptions(options); + Ltype=tmp_1; + Noflg=tmp_2; + Inflg=tmp_3; + Outflg=tmp_4; + opstr=tmp_(length(tmp)-1); + opcindy=tmp_(length(tmp)); + eqL=tmp_5; + Num=50; + Ec=[]; + Exfun=""; + Dc=1000; + forall(eqL, + tmp=indexof(#,"="); + tmp1=substring(#,tmp,length(#)); + opstr=opstr+",'"+#+"'"; + if(substring(#,0,1)=="N", + Num=parse(tmp1); + ); + if(substring(#,0,1)=="E", + if(substring(tmp1,0,1)=="[", + Ec=parse(tmp1); + , + Exfun=tmp1; + ); + ); + if(substring(#,0,1)=="D", + Dc=parse(tmp1); + ); + ); + if(Inflg==0 & Outflg==0, + tmp=indexof(variable,"="); + vname=substring(variable,0,tmp-1); + str=substring(variable,tmp,length(variable)); + Rng=parse(str); + t1=Rng_1; t2=Rng_2; + dt=(t2-t1)/Num;// differs from Scilab ( / Num-1) + func=Assign(funstr,vname,"tt"); + Out=[]; + Ec=append(sort(Ec),10000); + ke=1; + forall(0..Num, + pt=[]; + tt=Rng_1+#*dt; + if(tt-Ec_ke<-Eps, + pa=parse(func); + ); + if(abs(tt-Ec_ke)<=Eps, + if(length(Out)>0, + if(Out_(length(Out))_1!="inf", + pa=["inf"]; + ); + ); + ); + if(tt-Ec_ke>Eps, + pa=parse(func); + ke=ke+1; + ); + if(length(pa)>0, + if(pa_1=="inf", + Out=append(Out,pa); + , + if(length(Out)==0, + Out=[pa]; + , + tmp=Out_(length(Out)); + if(tmp_1=="inf", + Out=append(Out,pa); + , + if(|tmp-pa|<Dc, + Out=append(Out,pa); + , + Out=concat(Out,[["inf"],pa]); + ); + ); + ); + ); + ); + ); + tmp1=[]; + tmp2=select(1..length(Out),Out_#==["inf"]); + tmp=1; + forall(tmp2, + if(#>tmp, + tmp1=concat(tmp1,[Out_(tmp..(#-1))]) + ); + tmp=#+1; + ); + if(tmp<length(Out), + tmp1=concat(tmp1,[Out_(tmp..length(Out))]); + ); + Out=tmp1; + if(length(Out)==1, + Out=Out_1; + ); + if(Noflg<3, + println("generate Paramplot "+name); + if(MeasureDepth(Out)==1, + tmp1=apply(Out,Pcrd(#)); + , + tmp1=[]; + forall(Out,tmp2, + tmp1=append(tmp1,apply(tmp2,Pcrd(#))); + ); + ); + tmp=name+"="+textformat(tmp1,5); + parse(tmp); + tmp1=replace(funstr,LFmark,""); // 15.11.13 + tmp2=replace(variable,LFmark,""); + tmp=name+"=Paramplot('"+tmp1+"','"+tmp2+"'"+opstr+")"; + GLIST=append(GLIST,tmp); + ); + if(Noflg<2, + if(isstring(Ltype), + Ltype=GetLinestyle(text(Noflg)+Ltype,name); + , + if(Noflg==1,Ltype=0); + ); + GCLIST=append(GCLIST,[name,Ltype,opcindy]); + ); + Out; + , + // Inflg or Outflg >0 15.05.15 + if(Noflg<3, + if(Outflg==1, + println("Output Paramplot "+name); + tmp=name+"=Paramplot('"+funstr+"','"+variable+"'"+opstr+")"; + GLIST=append(GLIST,tmp); + SCIWRLIST=append(SCIWRLIST,name); + if(Inflg==0,Inflg=1); // 15.05.17 + ); + if(Inflg==1, + println("Input Paramplotdata "+name); + if(length(SCIRELIST)==0, + ReadOutData(Fnameout); + ); + tmp=parse(name); + if(islist(tmp), + Extractdata(name,["nodisp"]); // 12.19 + ); + tmp="// "+name+"=Paramplot('"+func+"','"+variable+"'"+opstr+")"; + Com1st(tmp); + SCIRELIST=append(SCIRELIST,name); + ); + ); + if(Noflg<2, + if(isstring(Ltype), + Ltype=GetLinestyle(text(Noflg)+Ltype,name); + , + if(Noflg==1,Ltype=0); + ); + if(Inflg==1, + GCLIST=append(GCLIST,[name,Ltype,opcindy]); + ); + ); + ); +); + +Circledata(cenrad):=Circledata(cenrad,[]); +Circledata(para1,para2):=( +//help:Circledata([A,B],["Rng=[0,pi/2]"]); +//help:Circledata([A,B,C]); + regional(name,cenrad,options,str,n); + if(isstring(para1), + name=para1; + cenrad=para2; + options=[]; + , + cenrad=para1; + options=para2; + name="";// 16.10.07from + forall(cenrad, + name=name+#.name; + );// 16.10.07upto + ); + Circledata(name,cenrad,options); +); +Circledata(nm,cenrad,options):=( + regional(name,Out,Ctr,Ptcir,ra,Num,Rg,opstr,opcindy, + tmp,tmp1,tmp1,Th,Ltype,Noflg,eqL,pA,pB,pC,d1,d2,Eps); + name="cr"+nm; + tmp=Divoptions(options); + Ltype=tmp_1; + Noflg=tmp_2; + opstr=tmp_(length(tmp)-1); + opcindy=tmp_(length(tmp)); + eqL=tmp_5; + Num=50; + Rg=[0,2*pi]; + forall(eqL, + tmp=indexof(#,"="); + tmp1=substring(#,tmp,length(#)); + opstr=opstr+",'"+#+"'"; + if(substring(#,0,1)=="N", + Num=parse(tmp1); + ); + if(substring(#,0,1)=="R", + Rg=parse(tmp1); + ); + ); + if(length(cenrad)==2, + Ctr=Lcrd(cenrad_1); + Ptcir=Lcrd(cenrad_2); + ra=dist(Ctr,Ptcir); + , + Eps=10^(-1); + pA=Lcrd(cenrad_1); + pB=Lcrd(cenrad_2); + pC=Lcrd(cenrad_3); + tmp=pB-pA; + tmp1=(tmp_2,-tmp_1); + tmp=pC-pB; + tmp2=(tmp_2,-tmp_1); + d1=det([tmp1,tmp2]); + d2=det([pC-pA,tmp2]); + if(abs(d1)<Eps & abs(d2)>10*Eps, + println("points are in a line"); + ra=0; + , + Ctr=1/2*(pA+pB)+1/2*d2/d1*tmp1; + ra=|pA-Ctr|; + tmp=name+"center="+Ctr; + parse(tmp); + Defvar(name+"center",Ctr); + ); + ); + if(ra>0, + Out=[]; + forall(0..Num, + Th=Rg_1+#*(Rg_2-Rg_1)/Num; + Out=append(Out,Ctr+ra*[cos(Th),sin(Th)]); + ); + , + Out=Lineplot("1",[pA,pB],["nodata"]); + ); + if(Noflg<3, + println("generate Circledata "+name); + tmp1=apply(Out,Pcrd(#)); + tmp=name+"="+textformat(tmp1,5); + parse(tmp); + if(length(cenrad)==2, + tmp=name+"=Circledata("+cenrad+opstr+")"; + , + if(ra>0, + tmp=name+"=Circledata(["+Ctr+","+cenrad_1+"]"+opstr+")"; + , + tmp=name+"=Lineplot("+cenrad_1+","+cenrad_2+")"; + ); + ); + GLIST=append(GLIST,tmp); + ); + if(Noflg<2, + if(isstring(Ltype), + Ltype=GetLinestyle(text(Noflg)+Ltype,name); + , + if(Noflg==1,Ltype=0); + ); + GCLIST=append(GCLIST,[name,Ltype,opcindy]); + ); + Out; +); + +Framedata():=( + regional(pA,pB); + pA=LLcrd((SW+NE)/2); // 15.09.17 + pB=LLcrd(NE); + Framedata("win",[pA,pB]); +); +Framedata(list):=Framedata(list,[]); +Framedata(Arg1,Arg2):=( + regional(name,list,options,str); + if(isstring(Arg1), + name=Arg1; + list=Arg2; + Framedata(name,list,[]); + , + list=Arg1; + options=Arg2; + name="";// 16.10.07from + forall(list, + name=name+#.name; + );// 16.10.07upto + Framedata(name,list,options); + ); +); + +Framedata(nm,list,options):=( +//help:Framedata(); +//help:Framedata([A,B]); +//help:Framedata("1",[A,B]); +//help:Framedata("1",[C,dx,dy]); + regional(name,Out,tmp,tmp1,pB,x1,x2,y1,y2,dx,dy, + opcindy,Ltype,Noflg,cent,dx,dy); + name="fr"+nm; + tmp=Divoptions(options); + Ltype=tmp_1; + Noflg=tmp_2; + opcindy=tmp_(length(tmp)); + if(length(list)==2, // 15.05.12 + pA=Lcrd(list_1); pB=Lcrd(list_2); + dx=abs(pB_1-pA_1); dy=abs(pB_2-pA_2); + , + pA=Lcrd(list_1); + dx=list_2; dy=list_3; + ); + x1=pA_1-dx; x2=pA_1+dx; + y1=pA_2-dy; y2=pA_2+dy; + Out=[[x1,y1],[x2,y1],[x2,y2],[x1,y2],[x1,y1]]; + if(Noflg<3, + println("generate Framedata "+name); + tmp1=apply(Out,Pcrd(#)); + tmp=name+"="+textformat(tmp1,5); + parse(tmp); + GLIST=append(GLIST,name+"=Framedata("+pA+","+dx+","+dy+")"); + ); + if(Noflg<2, + if(isstring(Ltype), + Ltype=GetLinestyle(text(Noflg)+Ltype,name); + , + if(Noflg==1,Ltype=0); + ); + GCLIST=append(GCLIST,[name,Ltype,opcindy]); + ); + Out; +); +Framedata(nm,cent,dx,dy):=Framedata(nm,cent,dx,dy,[]); +Framedata(nm,cent,dx,dy,options):=( + regional(name,Out,tmp,tmp1,x1,y1,x2,y2,Ltype,opcindy,Noflg); + name="fr"+nm; + tmp=Divoptions(options); + Ltype=tmp_1; + Noflg=tmp_2; + opcindy=tmp_(length(tmp)); + x1=cent.x-dx; x2=cent.x+dx; + y1=cent.y-dy; y2=cent.y+dy; + Out=[[x1,y1],[x2,y1],[x2,y2],[x1,y2],[x1,y1]]; + if(Noflg<3, + println("generate Framedata "+name); + tmp1=apply(Out,Pcrd(#)); + tmp=name+"="+textformat(tmp1,5); + parse(tmp); + GLIST=append(GLIST,name+"=Framedata("+cent.xy+","+dx+","+dy+")"); + ); + if(Noflg<2, + if(isstring(Ltype), + Ltype=GetLinestyle(text(Noflg)+Ltype,name); + , + if(Noflg==1,Ltype=0); + ); + GCLIST=append(GCLIST,[name,Ltype,opcindy]); + ); + Out; +); + +Framedata2(nm,list):=Framedata2(nm,list,[]); +Framedata2(nm,list,options):=( +//help:Framedata2("1",[A,B]); + regional(tmp,tmp1,pC,pB); + pC=(Lcrd(list_1)+Lcrd(list_2))/2; + pB=Lcrd(list_2); + Framedata(nm,[pC,pB],options); +); + +Ovaldata(nm,Pdata):=Ovaldata(nm,Pdata,[]); +Ovaldata(nm,Pdata,options):=( +//help:Ovaldata("1",[A,B]); +//help:Ovaldata(optios=[size]); + regional(name,Graph,Ctr,Dx,Dy,Rc,Out,Point,Graph, + opstr,opcindy,tmp,tmp1,tmp2,tmp3,Ltype,Noflg); + name="ov"+nm; + tmp=Divoptions(options); + Ltype=tmp_1; + Noflg=tmp_2; + opcindy=tmp_(length(tmp)); + opstr=tmp_(length(tmp)-1); + Rc=0.2; + tmp1=tmp_6; + if(length(tmp1)>0,Rc=tmp1_1*Rc); +// if(length(tmp1)>0,Rc=tmp1_1); //15.11.15 + Ctr=Lcrd(Pdata_1); + if(ispoint(Pdata_2) % islist(Pdata_2), + tmp1=Lcrd(Pdata_2); + Dx=abs(tmp1_1-Ctr_1); + Dy=abs(tmp1_2-Ctr_2); + , + Dx=Pdata_2; + Dy=Pdata_3; + ); + Point=Ctr+[Dx-Rc,Dy-Rc]; + tmp1=Circledata("1",[Point,Point+[Rc,0]], + ["Rng=[0,pi/2]","Num=10","nodata"]); + tmp2=Listplot("1",[Ctr+[Dx-Rc,Dy],Ctr+[0,Dy]], + ["nodata"]); + tmp3=Listplot("2",[Ctr+[Dx,0],Ctr+[Dx,Dy-Rc]], + ["nodata"]); + Graph=Joincrvs("1",[tmp3,tmp1,tmp2],["nodata"]); + tmp1=Reflectdata("1",[Graph],[Ctr,Ctr+[0,1]],["nodata"]); + Graph=Joincrvs("1",[Graph,tmp1],["nodata"]); + tmp2=Reflectdata("2",[Graph],[Ctr,Ctr+[1,0]], + ["nodata"]); + Graph=Joincrvs("2",[Graph,tmp2],["nodata"]); + if(Noflg<3, + println("generate Ovaldata "+name); + tmp1=apply(Graph,Pcrd(#)); + tmp=name+"="+textformat(tmp1,5); + parse(tmp); + GLIST=append(GLIST, + name+"=Ovaldata("+Ctr+","+Dx+","+Dy+opstr+")");//16.01.30 + ); + if(Noflg<2, + if(isstring(Ltype), + Ltype=GetLinestyle(text(Noflg)+Ltype,name); + , + if(Noflg==1,Ltype=0); + ); + GCLIST=append(GCLIST,[name,Ltype,opcindy]); + tmp1=apply(Graph,Pcrd(#)); + tmp=name+"="+textformat(tmp1,5); + parse(tmp); + tmp=textformat(Ctr,5)+","+textformat(Dx,5)+","+textformat(Dy,5); + GLIST=append(GLIST, + name+"=Ovaldata("+tmp+opstr+")"); + ); + Graph; +); + +Segmark(nm,ptlist):=Segmark(nm,ptlist,[]); +Segmark(nm,ptlist,options):=Drawsegmark(nm,ptlist,options); +Drawsegmark(nm,ptlist):=Drawsegmark(nm,ptlist,[]); +Drawsegmark(nm,ptlist,options):=( +//help:Segmark("1",[A,B]); +//help:Segmark(options=["Type=1","Width=1","Size=1"]); + regional(name,pA,pB,wid,mid,size,tp,dir,nor,eqL, + tmp,tmp1,tmp2); + name="mrk"+nm; + pA=ptlist_1; + pB=ptlist_2; + size=0.15; + wid=0.05; + tp=1; + tmp1=Divoptions(options); + eqL=tmp1_5; + forall(eqL, + tmp=indexof(#,"="); + tmp1=substring(#,tmp,length(#)); + tmp1=parse(tmp1); + tmp=substring(#,0,1); + if(tmp=="S" % tmp=="s", + size=size*tmp1; + ); + if(tmp=="W" % tmp=="w", + wid=wid*tmp1; + ); + if(tmp=="T" % tmp=="t", + tp=tmp1; + ); + ); + mid=(pA+pB)/2; + dir=(pB-pA)/|pB-pA|; + nor=[-dir_2,dir_1]; +// nor=nor/|nor|; + if(tp==1, + tmp1=mid+size*nor; + tmp2=mid-size*nor; + Listplot(name,[tmp1,tmp2]); + ); + if(tp==2, + tmp1=mid+wid*dir+size*nor; + tmp2=mid+wid*dir-size*nor; + Listplot(name+"r",[tmp1,tmp2]); + tmp1=mid-wid*dir+size*nor; + tmp2=mid-wid*dir-size*nor; + Listplot(name+"l",[tmp1,tmp2]); + ); + if(tp==3, + tmp1=mid; + tmp2=mid+size*dir; + Circledata(name,[tmp1,tmp2]); + ); + if(tp==4, + tmp=mid+size*2/sqrt(3)*nor; + tmp1=mid+size*dir-size/sqrt(3)*nor; + tmp2=mid-size*dir-size/sqrt(3)*nor; + Listplot(name,[tmp,tmp1,tmp2,tmp]); + ); +); + +Parabolaplot(nm,ptlist):=Parabolaplot(nm,ptlist,"[-5,5]",[]); +Parabolaplot(nm,ptlist,Arg):=( + regional(rng,options); + if(isstring(Arg), + rng=Arg; + options=[]; + , + rng="[-5,5]"; + options=Arg; + ); + Parabolaplot(nm,ptlist,rng,options); +); +Parabolaplot(nm,ptlist,rng,options):=( +//help:Parabolaplot("1",[A,B,C]): +//help:Parabolaplot("1",[A,B,C],"[-5,5]"); + regional(pA,pB,pC,angle,tmp,tmp1,tmp2); + tmp1=Lcrd(ptlist_1); + tmp2=Lcrd(ptlist_3); + pB=Lcrd(ptlist_2); + tmp=(tmp2-pB)/|tmp2-pB|; + if(tmp_2>=0, + angle=arccos(tmp_1); + , + if(tmp_1>=0, + angle=arcsin(tmp_2); + , + angle=-arccos(tmp_1); + ); + ); + pA=Rotatepoint(tmp1,-angle,pB); + pC=Rotatepoint(tmp2,-angle,pB); + tmp1=1/(2*(pA_2-pB_2)); + tmp2=1/2*(pA_2+pB_2); + tmp="("+format(tmp1,5)+")*(x-("+format(pA_1,5)+"))^2"; + tmp=tmp+"+("+format(tmp2,5)+")"; + tmp1=parse(rng); + tmp1=[pA_1-(tmp1_2-tmp1_1)/2,pA_1+(tmp1_2-tmp1_1)/2]; + tmp2="x="+textformat(tmp1,5); + Plotdata(nm+"para",tmp,tmp2,append(options,"nodisp")); + Rotatedata(nm+"para","gr"+nm+"para",angle,append(options,pB)); +); + +Ellipseplot(nm,ptlist):=Ellipseplot(nm,ptlist,"[0,2*pi]",[]); +Ellipseplot(nm,ptlist,Arg):=( + regional(rng,options); + if(isstring(Arg), + rng=Arg; + options=[]; + , + rng="[0,2*pi]"; + options=Arg; + ); + Ellipseplot(nm,ptlist,rng,options); +); +Ellipseplot(nm,ptlist,rng,options):=( +//help:Ellipseplot("1",[A,B,3]); +//help:Ellipseplot("1",[A,B,C],"[0,pi]",[options]); + regional(pA,pB,d,angle,f,a,b,pM,tmp,tmp1,tmp2); + pA=Lcrd(ptlist_1); + tmp1=Lcrd(ptlist_2); + if(ispoint(ptlist_3), + tmp2=Lcrd(ptlist_3); + d=|tmp2-pA|+|tmp2-tmp1|; + , + d=ptlist_3; + ); + tmp=(tmp1-pA)/|tmp1-pA|; + if(tmp_2>=0, + angle=arccos(tmp_1); + , + if(tmp_1>=0, + angle=arcsin(tmp_2); + , + angle=-arccos(tmp_1); + ); + ); + pB=Rotatepoint(tmp1,-angle,pA); + f=|pB_1-pA_1|/2; + a=d/2; + b=sqrt(d^2/4-f^2); + pM=(pA+pB)/2; + tmp="["+format(pM_1,5)+","+format(pM_2,5)+"]"; + tmp=tmp+"+["+format(a,5)+"*cos(t),"+format(b,5)+"*sin(t)]"; + Paramplot(nm+"elp",tmp,"t="+rng,append(options,"nodisp")); + Rotatedata(nm+"elp","gp"+nm+"elp",angle,append(options,pA)); +); + +Hyperbolaplot(nm,ptlist):=Hyperbolaplot(nm,ptlist,"[-5/2,5/2]",[]); +Hyperbolaplot(nm,ptlist,Arg):=( + regional(rng,options); + if(isstring(Arg), + rng=Arg; + options=[]; + , + rng="[-5/2,5/2]"; + options=Arg; + ); + Hyperbolaplot(nm,ptlist,rng,options); +); +Hyperbolaplot(nm,ptlist,rng,optionsorg):=( +//help:Hyperbolaplot("1",[A,B,C],["Num=200"]): +//help:Hyperbolaplot("1",[A,B,C],"[-5,5]",["Asy=do"]); + regional(pA,pB,d,angle,f,a,b,pM,eqL,options,opasy,tmp,tmp1,tmp2); + tmp=Divoptions(optionsorg); + eqL=tmp_5; + options=optionsorg; + opasy=[]; + forall(eqL, + if(Toupper(substring(#,0,1))=="A", + tmp=indexof(#,"="); + opasy=[substring(#,tmp,length(#))]; + options=remove(options,[#]); + ); + ); + pA=Lcrd(ptlist_1); + tmp1=Lcrd(ptlist_2); + if(ispoint(ptlist_3), + tmp2=Lcrd(ptlist_3); + d=abs(|tmp2-pA|-|tmp2-tmp1|); + , + d=ptlist_3; + ); + tmp=(tmp1-pA)/|tmp1-pA|; + if(tmp_2>=0, + angle=arccos(tmp_1); + , + if(tmp_1>=0, + angle=arcsin(tmp_2); + , + angle=-arccos(tmp_1); + ); + ); + pB=Rotatepoint(tmp1,-angle,pA); + f=|pB_1-pA_1|/2; + a=d/2; + b=sqrt(f^2-d^2/4); + pM=(pA+pB)/2; + tmp="["+format(pM_1,5)+"+"+format(a,5)+"*(exp(t)+exp(-t))/2,"; + tmp=tmp+format(pM_2,5)+"+"+format(b,5)+"*(exp(t)-exp(-t))/2]"; + Paramplot(nm+"hyp1",tmp,"t="+rng,append(options,"nodisp")); + tmp="["+format(pM_1,5)+"-"+format(a,5)+"*(exp(t)+exp(-t))/2,"; + tmp=tmp+format(pM_2,5)+"+"+format(b,5)+"*(exp(t)-exp(-t))/2]"; + Paramplot(nm+"hyp2",tmp,"t="+rng,append(options,"nodisp")); + tmp=["gp"+nm+"hyp1","gp"+nm+"hyp2"]; + Rotatedata(nm+"hyp",tmp,angle,append(options,pA)); + if(length(opasy)>0, + Lineplot(nm+"asy1",[pM+[a,b],pM+[-a,-b]],["nodisp"]); + Lineplot(nm+"asy2",[pM+[-a,b],pM+[a,-b]],["nodisp"]); + tmp=["ln"+nm+"asy1","ln"+nm+"asy2"]; + Rotatedata(nm+"asy",tmp,angle,append(opasy,pA)); + ); +); + +Polygonplot(nm,ptlist,number):=Polygonplot(nm,ptlist,number,[]); +Polygonplot(nm,ptlist,number,options):=( +//help:Polygonplot("1",[A,B],12); + regional(rr,pA,pB,ptL,angle,tmp,tmp1,tmp2); + pA=Lcrd(ptlist_1); + pB=Lcrd(ptlist_2); + rr=|pB-pA|; + tmp=(pB-pA)/rr; + if(tmp_2>=0, + angle=arccos(tmp_1); + , + if(tmp_1>=0, + angle=arcsin(tmp_2); + , + angle=-arccos(tmp_1); + ); + ); + ptL=[]; + forall(0..number, + tmp=angle+#*2*pi/number; + tmp1=pA+rr*[cos(tmp),sin(tmp)]; + if(#>0 & #<number, + Putpoint((ptlist_2).name+text(#),tmp1);//16.10.07 + //Pointdata(nm,ptL); + ); + tmp2=tmp1; + ptL=append(ptL,tmp1); + ); + Listplot(nm+"ply",ptL,options); +); + +Putintersect(nm,pdata1,pdata2):=( +//help:Putintersect("Q","gr1","gr2"); + regional(pd1,pd2,tmp); + if(isstring(pdata1),pd1=parse(pdata1),pd1=pdata1); + if(isstring(pdata2),pd2=parse(pdata2),pd2=pdata2); + tmp=Intersectcrvs(pd1,pd2); + if(length(tmp)==1, + Putpoint(nm,tmp_1); + , + if(length(tmp)==0, + err("No intersect point"); + , + err("Multiple intersect points"); + println(tmp); + err("Choose point number"); + ); + ); +); +Putintersect(nm,pdata1,pdata2,ptno):=( + regional(pd1,pd2,tmp); + if(isstring(pdata1),pd1=parse(pdata1),pd1=pdata1); + if(isstring(pdata2),pd2=parse(pdata2),pd2=pdata2); + tmp=Intersectcrvs(pd1,pd2); + if(length(tmp)>0, + Putpoint(nm,tmp_ptno); + , + err("No intersect point"); + ); +); + +Arrowheaddata(point,direction):=Arrowheaddata(point,direction,[]); +Arrowheaddata(point,direction,options):=( +//help:Arrowheaddata(A,B); + regional(list,Ookisa,Hiraki,Futosa,Houkou,Str,Flg,tmp,Ev,Nv,pA,pB, + pP,rF,gG,Flg,Nj,Eps,tmp1,scx,scy); + Eps=10^(-3); + pP=point; + Ookisa=0.2*YaSize; + Hiraki=YaAngle; + Futosa=0; + Str=YaStyle; + tmp=Divoptions(options); + tmp1=tmp_6; + if(length(tmp1)>0,Ookisa=Ookisa*tmp1_1); + if(length(tmp1)>1, + tmp=tmp1_2; + if(tmp<5, + Hiraki=Hiraki*tmp; + , + Hiraki=tmp; + ); + ); + Flg=0; + Hiraki=Hiraki*pi/180; + if(isstring(direction),Houkou=parse(direction),Houkou=direction); + if(MeasureDepth(Houkou)==2,Houkou=Houkou_1); + if(islist(Houkou_1), +// pP=Lcrd(pP); +// pP=Doscaling(pP); +// Houkou=Dosscaling(Houkou); + pP=Pcrd(pP); + scy=SCALEY; + SCALEY=1; + tmp=Nearestpt(pP,Houkou); + pA=tmp_1; + rF=floor(tmp_2); + if(rF==1, + if(|Ptend(Houkou)-Ptstart(Houkou)|<Eps, + rF=Numptcrv(Houkou); + ); + ); + gG=apply(0..10,pP+Ookisa*cos(Hiraki)*[cos(2*pi/10*#),sin(2*pi/10*#)]); + Flg=0; + forall(1..rF,Nj, + if(Flg==0, + pB=Ptcrv(rF+1-Nj,Houkou); + tmp=IntersectcrvsPp([pA,pB],gG); + if(length(tmp)>0, + Houkou=pP-tmp_1_1; + Flg=1; + ); + pA=pB; + ); + ); + SCALEY=scy; + if(Flg==0, + println("Arrowhead may be too large (no intersect)"); + Flg=2; + ); + if(Flg==1, + Houkou=Unscaling(Houkou); + pP=Unscaling(pP); + ); + ); + if(Flg<2, +// pP=Doscaling(pP); +// Houkou=Doscaling(Houkou); + pP=Pcrd(pP); + if(!ispoint(point), + Houkou=Pcrd(Houkou); + ); +// if(MeasureDepth(Houkou)==0,Houkou=Pcrd(Houkou)); + Ev=-1/|Houkou|*Houkou; + Ev=Lcrd(Ev); + Nv=[-Ev_2, Ev_1]; + if(indexof(Str,"c")>0, + pP=pP-0.5*Ookisa*cos(Hiraki)*Ev; + ); + if(indexof(Str,"b")>0, + pP=pP-Ookisa*cos(Hiraki)*Ev; + ); + pA=pP+Ookisa*cos(Hiraki)*Ev+Ookisa*sin(Hiraki)*Nv; + pB=pP+Ookisa*cos(Hiraki)*Ev-Ookisa*sin(Hiraki)*Nv; + list=[pA,pP,pB]; + list=apply(list,LLcrd(#)); +// Out=Unscaling(Out); + list; + ); +); + +Arrowhead(point,Houkou):=Arrowhead(point,Houkou,[]); +Arrowhead(point,Houkou,options):=( +//help:Arrowhead(B,B-A,[1.5,30]); +//help:Arrowhead(A,"gr1"); + // global ArrowheadNumber + regional(name,Ltype,Noflg,reL,opstr,opcindy,ptstr,hostr,tmp,tmp1,list); + name="arh"+text(ArrowheadNumber); + ArrowheadNumber=ArrowheadNumber+1; + ptstr=textformat(point,5); + if(isstring(Houkou), // 15.01.11 + tmp=parse(Houkou); + if(MeasureDepth(tmp)<2, + hostr=Houkou; + , + hostr=Houkou+"(1)"; + ); + , + if(ispoint(point), + hostr=textformat(LLcrd(Houkou),5); + , + hostr=textformat(Houkou,5); + ); + ); + tmp=Divoptions(options); + Ltype=tmp_1; + Noflg=tmp_2; + reL=tmp_6; + opstr=tmp_(length(tmp)-1); + opcindy=tmp_(length(tmp)); + list=Arrowheaddata(point,Houkou,options); + if(Noflg<3, +// println("generate Arrowhead "+name); + tmp1=apply(list,Pcrd(#)); + tmp=name+"="+textformat(tmp1,5); + parse(tmp); +// GLIST=append(GLIST,name+"=Listplot("+list+")"); + ); + if(Noflg<2, + if(isstring(Ltype), + Ltype=GetLinestyle(text(1)+Ltype,name); + , +// if(Noflg==1,Ltype=0); + Ltype=0; + ); + GCLIST=append(GCLIST,[name,Ltype,opcindy]); + ); + if(Noflg==0, + if(length(reL)<3, // 16.04.09 from + forall(1..(2-length(reL)), + opstr=opstr+",1"; + ); + tmp=PenThick/PenThickInit; + opstr=opstr+","+text(tmp); + ); // 16.04.09 upto + Com2nd("Arrowhead("+ptstr+","+hostr+opstr+")"); + ); +); + +Arrowdata(ptlist):=Arrowdata(ptlist,[]); +Arrowdata(Arg1,Arg2):=( + regional(tmp,nm,ptlist,flg,pA,pB,options); + flg=0; + if(isstring(Arg1), + nm=Arg1; + ptlist=Arg2; + Arrowdata(nm,ptlist,[]); + flg=1; + ); + if(flg==0, + tmp=MeasureDepth(Arg1); + if(tmp==0, + pA=Arg1; + pB=Arg2; + Arrowdata(pA,pB,[]); + , + ptlist=Arg1; + options=Arg2; + nm=text(ArrowlineNumber); + ArrowlineNumber=ArrowlineNumber+1; + Arrowdata(nm,ptlist,options); + ); + ); +); +Arrowdata(Arg1,Arg2,options):=( +//help:Arrowdata([A,B],[2,10]); + regional(Retflg,nm,ptlist,name,opstr,opcindy,realL,strL,size, + flg,Ltype,Noflg,lineflg,tmp,tmp1,tmp2,pA,pB,segpos); + Retflg=0; + Noflg=0; + Ltype=0; + if(!isstring(Arg1), + pA=Arg1; + pB=Arg2; + Arrowdata(pA,pB,options,"old"); + Retflg=1; + ptlist=[pA,pB]; + ); + if(Retflg==0, + nm=Arg1; + ptlist=Arg2; + name="ar"+nm; + tmp=Divoptions(options); + Ltype=tmp_1; + Noflg=tmp_2; + realL=tmp_6; + strL=tmp_7; + opstr=tmp_(length(tmp)-1); + opcindy=tmp_(length(tmp)); + size=1; // 15.06.11 + if(length(realL)>0, + size=realL_1; + ); + tmp2=select(strL,indexof(#,"l")>0); // 16.04.09 + if(length(tmp2)>0,lineflg=1,lineflg=0); // 16.04.09 + segpos=1; + tmp1=tmp_5; + if(length(tmp1)>2, + segpos=tmp1_3; + ); + if(Noflg<3, +// println("generate Arrowdata "+name); + tmp1=apply(ptlist,Pcrd(#)); + tmp=name+"="+textformat(tmp1,5); + parse(tmp); + tmp1=Pcrd(ptlist_1);//16.10.20 + tmp2=Pcrd(ptlist_2);//16.10.20 + if(lineflg==0, // 16.04.09 from + tmp=tmp2-0.2*size/2*(tmp2-tmp1)/|tmp2-tmp1|; // 15.06.11 + , + tmp=tmp2; + ); // 16.04.09 upto + tmp=[LLcrd(tmp1),LLcrd(tmp)];//16.10.20 + GLIST=append(GLIST,name+"=Listplot("+textformat(tmp,5)+")"); + ); + if(Noflg<2, + if(isstring(Ltype), + Ltype=GetLinestyle(text(Noflg)+Ltype,name); + , + if(Noflg==1,Ltype=0); + ); + tmp=textformat(ptlist,5); + tmp=substring(tmp,1,length(tmp)-1); + tmp1=indexof(tmp,"],["); + if(tmp1>0, + pA=substring(tmp,0,tmp1); + pB=substring(tmp,tmp1+1,length(tmp)); + , + tmp1=indexof(tmp,","); + pA=substring(tmp,0,tmp1-1); + pB=substring(tmp,tmp1,length(tmp)); + ); + tmp1="Lcrd("+pA+")+" + +textformat(segpos,5)+"*(Lcrd("+pB+")-"+"Lcrd("+pA+"))"; + tmp1=parse(tmp1); + tmp2="Lcrd("+pB+")-Lcrd("+pA+")"; + tmp2=parse(tmp2); + Arrowhead(tmp1,tmp2,options); + GCLIST=append(GCLIST,[name,Ltype,opcindy]); + ); + ); + ptlist; +); +Arrowdata(pA,pB,options,str):=( + regional(ptA,ptB,opstr,Astr,Bstr,name,tmp,opcindy); + Astr=textformat(pA,5); + Bstr=textformat(pB,5); + name="ar"+pA.name+pB.name; + println("generate Arrow "+name); + opstr=""; + opcindy=""; + forall(options, + if(isstring(#), + if(indexof(#,"->")>0, + opcindy=opcindy+","+#; + , + tmp="'"+#+"'"; + ); + , + tmp=text(#); + ); + opstr=opstr+","+tmp; + ); + ptA=Lcrd(pA); + ptB=Lcrd(pB); + Arrowheaddata(ptB,ptB-ptA,options); + tmp="connect("+textformat([ptA,ptB],5) + +",linecolor->"+text(KCOLOR)+opcindy+");"; + parse(tmp); // 14.11.17 + Com2nd("Arrowline("+Astr+","+Bstr+opstr+")"); // 14.10.04 +); + +Anglemark(plist):=Anglemark(plist,[]); +Anglemark(Arg1,Arg2):=( // 2015.04.28 from + regional(nm,plist,options,tmp); + if(isstring(Arg1), + nm=Arg1; + plist=Arg2; + Anglemark(nm,plist,[]); + , + plist=Arg1; + options=Arg2; + tmp=textformat(plist,5); + tmp=replace(tmp,",",""); + nm=substring(tmp,1,length(tmp)-1); + Anglemark(nm,plist,options); + ); +); // upto +Anglemark(nm,plist,options):=( +//help:Anglemark([A,B,C],["E=\theta",2]); +//help:Anglemark("1",[A,B,C],["E=1.2,\theta",2]); +//help:Anglemark(options=["E/L=(sep,)letter",size]); + regional(name,Out,pB,pA,pC,Ctr,ra,sab,sac,ratio,opstr,Bname,Bpos, + Brat,tmp,tmp1,tmp2,Num,opcindy,Ltype,eqL,realL,Rg,Th,Noflg); + name="ag"+nm; + ra=0.5; + tmp=Divoptions(options); + Ltype=tmp_1; + Noflg=tmp_2; + opstr=tmp_(length(tmp)-1); + opcindy=tmp_(length(tmp)); + eqL=tmp_5; + realL=tmp_6; + Bname=""; + Brat=1.5; + Num=20; + if(length(realL)>0, + ra=realL_1*ra; + opstr=opstr+","+text(realL_1); + ); + forall(eqL, + if(substring(#,0,1)=="L",Bname="Letter("); + if(substring(#,0,1)=="E",Bname="Expr("); + Bpos="md"+name; + Bname=Bname+Bpos+","+Dq+"c"+Dq+","+Dq;//16.10.29 + tmp=substring(#,indexof(#,"="),length(#)); + tmp1=indexof(tmp,","); + Bname=Bname+substring(tmp,tmp1,length(tmp))+Dq+")"; + if(tmp1>0, + Brat=parse(substring(tmp,0,tmp1-1)); + ); + ); + pB=Lcrd(plist_1); pA=Lcrd(plist_2); pC=Lcrd(plist_3); + Ctr=Lcrd(pA); + sab=pB-pA; + sac=pC-pA; + Rg=[arctan2(sab)+0,arctan2(sac)+0]; + if(Rg_2<Rg_1,Rg_2=Rg_2+2*pi); + Out=[]; + forall(0..Num, + Th=Rg_1+#*(Rg_2-Rg_1)/Num; + Out=append(Out,Ctr+ra*[cos(Th),sin(Th)]); + ); + if(length(Bname)>0, + Th=(Rg_1+Rg_2)/2; + tmp1=Ctr+Brat*ra*[cos(Th),sin(Th)]; + tmp="Defvar("+Dq+Bpos+"="; + tmp=tmp+textformat(tmp1,5)+Dq+");"; + parse(tmp); + parse(Bname); + ); + if(Noflg<3, + println("generate anglemark "+name); + tmp1=apply(Out,Pcrd(#)); + tmp=name+"="+textformat(tmp1,5); + parse(tmp); + tmp=textformat(plist,5); + tmp1=substring(tmp,1,length(tmp)-1); + tmp=name+"=Anglemark("+tmp1+opstr+")"; + GLIST=append(GLIST,tmp); + ); + if(Noflg<2, + if(isstring(Ltype), + Ltype=GetLinestyle(text(Noflg)+Ltype,name); + , + if(Noflg==1,Ltype=0); + ); + GCLIST=append(GCLIST,[name,Ltype,opcindy]); + ); + Out; +); + +Paramark(plist):=Paramark(plist,[]); +Paramark(plist,options):=( +//help:Paramark([A,B,C],["E=\theta"]); + regional(name,Out,pB,pA,pC,ra,sab,sac,ratio,opstr,Bname,Bpos, + Brat,tmp,tmp1,tmp2,Ltype,Noflg,eqL,realL,opcindy); + tmp=textformat(plist,5); + tmp=replace(tmp,",",""); + tmp=substring(tmp,1,length(tmp)-1); + name="pm"+tmp; + tmp=Divoptions(options); + Ltype=tmp_1; + Noflg=tmp_2; + opstr=tmp_(length(tmp)-1); + opcindy=tmp_(length(tmp)); + eqL=tmp_5; + realL=tmp_6; + ra=0.5; + Bname=""; + Brat=1.2; + if(length(realL)>0, + tmp=realL_1; + ra=tmp*ra; + opstr=opstr+","+text(tmp); + ); + forall(eqL, + if(substring(#,0,1)=="L",Bname="Letter("); + if(substring(#,0,1)=="E",Bname="Expr("); + Bpos="md"+name; + Bname=Bname+Dq+Bpos+Dq+","+Dq+"c"+Dq+","+Dq; + tmp=substring(#,indexof(#,"="),length(#)); + tmp1=indexof(tmp,","); + Bname=Bname+substring(tmp,tmp1,length(tmp))+Dq+")"; + if(tmp1>0, + Brat=parse(substring(tmp,0,tmp1-1)); + ); + ); + pB=Lcrd(plist_1); pA=Lcrd(plist_2); pC=Lcrd(plist_3); + Ctr=Lcrd(pA); + Out=[]; + Out=append(Out,pA+ra*(pB-pA)/|pB-pA|); + Out=append(Out,pA+ra*(pB-pA)/|pB-pA|+ra*(pC-pA)/|pC-pA|); + Out=append(Out,pA+ra*(pC-pA)/|pC-pA|); + if(length(Bname)>0, + tmp1=pA+Brat*ra*(pB-pA)/|pB-pA|+Brat*ra*(pC-pA)/|pC-pA|; + tmp="Defvar("+Dq+Bpos+"="+textformat(tmp1,5)+Dq+");"; + parse(tmp); + parse(Bname); + ); + if(Noflg<3, + println("generate paramark "+name); + tmp1=apply(Out,Pcrd(#)); + tmp=name+"="+textformat(tmp1,5); + parse(tmp); + tmp1=substring(textformat(plist,5),1,length(textformat(plist,5))-1); + tmp=name+"=Paramark("+tmp1+opstr+")"; + GLIST=append(GLIST,tmp); + ); + if(Noflg<2, + if(isstring(Ltype), + Ltype=GetLinestyle(text(Noflg)+Ltype,name); + , + if(Noflg==1,Ltype=0); + ); + GCLIST=append(GCLIST,[name,Ltype,opcindy]); + ); + Out; +); + +MakeBowdata(pA,pB,Hgt):=( + regional(angle,pB2,pH2,pC2,pC,tmp,Th1,Th2,ra,dMA); + angle=arctan2(pB-pA)+0; + pB2=Rotatepoint(pB,-angle,pA); + tmp=Lcrd(pA); + pH2=[(tmp_1+pB2_1)/2,tmp_2-Hgt]; + dMA=|tmp-pB2|/2; + ra=(dMA^2+Hgt^2)/(2*Hgt); + pC2=[pH2_1,pB2_2+(ra-Hgt)]; + pC=Rotatepoint(pC2,angle,pA); + Th1=arctan2(pA-pC2)+angle; + Th2=arctan2(pB2-pC2)+angle; + [pC,ra,Th1,Th2]; +); + +Bowdata(nm,plist,options):=( +//help:Bowdata([C,A],[2,1.2,"Expr=10","da"]); +//help:Bowdata([A,B],["Expr=t0n3,a"]); +//help:Bowdata([A,B],["Exprrot=t0n2r,a"]); + regional(name,Out,pB,pA,pC,ra,tmp,tmp1,tmp2,Ltype,eqL,realL, + Bname,Bpos,Th,Cut,Num,Hgt,opstr,opcindy,Ydata,pC, + Th1,Th2,Noflg,Bops,Bmov,Tmov,Nmov,rev); + name="bw"+nm; + tmp=Divoptions(options); + Ltype=tmp_1; + Noflg=tmp_2; + opstr=tmp_(length(tmp)-1); + opcindy=tmp_(length(tmp)); + eqL=tmp_5; + realL=tmp_6; + pA=Lcrd(plist_1); pB=Lcrd(plist_2); + Hgt=1/2*|pB-pA|*0.2; + Cut=0; + Num=24; + Bname=""; + Tmov=0;//16.11.01from + Nmov=0; + Bmov=""; + rev=0;//16.11.01upto + if(length(realL)>0, + Hgt=realL_1*Hgt; // 15.04.12 + if(length(realL)>1,Cut=realL_2); + ); + forall(eqL, + tmp=substring(#,0,1); + if(tmp=="L" % tmp=="l", + if(indexof(#,"rot")>0, + Bname="Letterrot("; + , + Bname="Letter("; + ); + ); + if(tmp=="E" % tmp=="e", + if(indexof(#,"rot")>0, + Bname="Exprrot("; + , + Bname="Expr("; + ); + ); + tmp=indexof(#,"="); + Bops=substring(#,tmp,length(#)); // 16.11.01 + ); + Ydata=MakeBowdata(pA,pB,Hgt); + pC=Ydata_1; + ra=Ydata_2; + Th=(Ydata_3+Ydata_4)*0.5; + BOWMIDDLE=[pC_1+ra*cos(Th),pC_2+ra*sin(Th)]; + Bpos="md"+name; // 16.10.31from(moved) + tmp="Defvar("+Dq+Bpos+"="+textformat(BOWMIDDLE,5)+Dq+");"; + parse(tmp);// 16.10.31upto(moved) + if(length(Bname)>0, //16.11.01from + tmp=indexof(Bops,","); + if(tmp>0, + tmp1=substring(Bops,0,tmp-1); + if(length(tmp1)>=4 & substring(tmp1,0,1)=="t" & indexof(tmp1,"n")>0, + Bmov=tmp1; + Bops=substring(Bops,tmp,length(Bops)); + ); + ); + if(length(Bmov)>0, + tmp=indexof(Bmov,"t"); + if(tmp>0, + tmp1=indexof(Bmov,"n"); + Tmov=parse(substring(Bmov,tmp,tmp1-1)); + tmp=indexof(Bmov,"r"); + if(tmp>0, + Nmov=parse(substring(Bmov,tmp1,tmp-1)); + rev=1; + , + Nmov=parse(substring(Bmov,tmp1,length(Bmov))); + ); + ); + ); + Bname=Bname+Bpos;//16.11.01 + if(abs(Tmov)+abs(Nmov)>0, + tmp=Pcrd(pA)-Pcrd(pB); + tmp1=1/norm(tmp)*tmp; + tmp2=[-tmp1_2,tmp1_1]; + tmp=MARKLEN*(Tmov*tmp1+Nmov*tmp2); + tmp=LLcrd(tmp); + Bname=Bname+"+"+text(tmp); + ); + Bname=Bname+","; + if(indexof(Bname,"rot")>0, + if(rev==1,tmp=pB-pA,tmp=pA-pB); + Bname=Bname+textformat(tmp,5)+","; + , + Bname=Bname+Dq+"c"+Dq+","; + ); + Bname=Bname+Dq+Bops+Dq+")"; + parse(Bname); + );//16.11.01upto + if(Cut==0, + Th1=Ydata_3; + Th2=Ydata_4; + Out=[]; + forall(0..Num, + tmp=Th1+#*(Th2-Th1)/Num; + Out=append(Out,pC+ra*[cos(tmp),sin(tmp)]); + ); + , + Th1=Ydata_3; + Th2=Th-Cut/(2*ra); + tmp1=[]; + forall(0..Num/2, + tmp=Th1+#*(Th2-Th1)/(Num/2); + tmp1=append(tmp1,pC+ra*[cos(tmp),sin(tmp)]); + ); + Th1=Th+Cut/(2*ra); + Th2=Ydata_4; + tmp2=[]; + forall(0..Num/2, + tmp=Th1+#*(Th2-Th1)/(Num/2); + tmp2=append(tmp2,pC+ra*[cos(tmp),sin(tmp)]); + ); + Out=[tmp1,tmp2]; + ); + if(Noflg<3, + println("generate bowdata "+name+" and "+Bpos);//16.10.31 + if(MeasureDepth(Out)==1,Out=[Out]); + tmp1=[]; + forall(Out,tmp2, + tmp=apply(tmp2,Pcrd(#)); + tmp1=append(tmp1,tmp); + ); + tmp=name+"="+textformat(tmp1,5); + parse(tmp); + tmp1=substring(textformat(plist,5),1,length(textformat(plist,5))-1); + tmp=name+"=Bowdata("+tmp1+opstr+")"; + GLIST=append(GLIST,tmp); + ); + if(Noflg<2, + if(isstring(Ltype), + Ltype=GetLinestyle(text(Noflg)+Ltype,name); + , + if(Noflg==1,Ltype=0); + ); + GCLIST=append(GCLIST,[name,Ltype,opcindy]); + ); +); + +Deqplot(nm,deq,rng,initf):=Deqplot(nm,deq,rng,Lcrd(initf)_1,initf,[]); +Deqplot(nm,deq,rng,Arg1,Arg2):=( + regional(initt,initf,options); + if(isreal(Arg1) & length(Arg1)==1, + initt=Arg1; + initf=Arg2; + options=[]; + , + initf=Lcrd(Arg1); + initt=initf_1; + options=Arg2; + ); + Deqplot(nm,deq,rng,initt,initf,options); +); +Deqplot(nm,deq,rng,initt,initf,options):=( + regional(name,Noflg,Ltype,eqL,opstr,opcindy,pdL,var2,deq2,rng2,initt2,initf2, + tmp,tmp1,tmp2,tmp3,tmp4); + tmp=tokenize(deq,"="); + tmp1=tmp_1; + tmp2=tmp_2; + tmp3=tokenize(tmp1,"`"); + if(length(tmp3)==2, + if(indexof(tmp1,"[")>0, + Deqplot(nm,deq,rng,initt,initf,options,[2,3]); + , + if(indexof(rng,"=")>0,rng2=rng,rng2=rng+"=[XMIN,XMAX]"); + tmp=tokenize(rng2,"="); + deq2="["+tmp_1+","+replace(tmp1,"`","]")+"`=[1,"+tmp2+"]"; + rng2="t="+tmp_2; + if(isreal(initf) & length(initf)==1, + initf2=[initt,initf]; + initt2=initt; + , + initf2=Lcrd(initf)); + initt2=initf2_1; + Deqplot(nm,deq2,rng2,initt2,initf2,options,[2,3]); + ); + , + name="de"+nm; + tmp=Divoptions(options); + Ltype=tmp_1; + Noflg=tmp_2; + eqL=tmp_5; + opcindy=tmp_9; + opstr=""; + forall(eqL, + if(Toupper(substring(#,0,1))=="N", + tmp=indexof(#,"="); + tmp1="N="+substring(#,tmp,length(#)); + opstr=opstr+",'"+tmp1+"'"; + ); + ); + if(Noflg<1, + if(indexof(rng,"=")>0,rng2=rng,rng2=rng+"=[XMIN,XMAX]"); + var2="d"+tmp3_1; + deq2="["+tmp3_1+","+var2+"]`=["; + tmp=replace(tmp2,tmp3_1+"`",var2); + deq2=deq2+var2+","+tmp+"]"; + Deqplot(nm,deq2,rng2,initt,initf,append(options,"nodisp"),[1,2]); + parse(tmp); + tmp=name+"=Deqplot(Assign("+Dq+deq+Dq+"),'"+rng+"',"; + tmp=tmp+initt+","+initf+opstr+")"; + GLIST=append(GLIST,tmp); + ); + if(Noflg<2, + if(isstring(Ltype), + Ltype=GetLinestyle(text(Noflg)+Ltype,name); + , + if(Noflg==1,Ltype=0); + ); + GCLIST=append(GCLIST,[name,Ltype,opcindy]); + parse("de"+nm); + ); + ); +); +Deqplot(nm,deq,rng,initt,initf,options,Sel):=( +//help:Deqplot("2","y`=y*(1-y)","x",0, 0.5,["Num=100"]); +//help:Deqplot("1","y``=-y","x",0, [1,0]); +//help:Deqplot("3","[x,y]`=[x*(1-y),0.3*y*(x-1)]","t=[0,20]",[1,0.5]); + regional(Ltype,Noflg,Inflg,Outflg,strL,opstr,opcindy,Num, + outstr,name,func,xf,yf,pdL,Eps,Inf,t1,t2,tt,Vname,dt,funP,funN,flg, + kl1,kl2,kl3,kl4,x0,y0,x1,y1,tmp,tmp1,tmp2); + name="de"+nm; + tmp=Divoptions(options); + Ltype=tmp_1; + Noflg=tmp_2; + Inflg=tmp_3; + Outflg=tmp_4; + eqL=tmp_5; + strL=tmp_7; +// opstr=tmp_(length(tmp)-1); + opstr=""; + opcindy=tmp_(length(tmp)); + outstr=""; + forall(strL, + tmp=Toupper(substring(#,0,1)); + if(tmp=="S", + outstr="Sci"; + ); + ); + Num=50; + forall(eqL, + tmp=indexof(#,"="); + tmp2=substring(#,0,1); + tmp2=Toupper(tmp2); + tmp1=substring(#,tmp,length(#)); + opstr=opstr+",'"+tmp2+"="+tmp1+"'"; + if(Toupper(substring(#,0,1))=="N", + Num=parse(tmp1); + ); + ); + if(outstr=="Sci", + if(Inflg==0 & Outflg==0,Outflg=1;Inflg=1); + ); + if(Noflg<3, + if(outstr=="Sci", + if(Outflg==1, + println("Output Deqplot "+name); + SCIWRLIST=append(SCIWRLIST,name); + ); + if(Inflg==1, + println("Input Deqplot "+name); + if(length(SCIRELIST)==0, + ReadOutData(Fnameout); + ); + tmp=parse(name); + if(islist(tmp), + Extractdata(name,["nodisp"]); // 12.19 + ); + SCIRELIST=append(SCIRELIST,name); + ); + , + Eps=10^(-3); + Inf=10^3; + tmp=tokenize(deq,"="); + tmp1=tmp_1; + func=tmp_2; + tmp=indexof(tmp1,","); + xf=substring(tmp1,1,tmp-1); + yf=substring(tmp1,tmp,length(tmp1)); + tmp=indexof(yf,"]"); + yf=substring(yf,0,tmp-1); + tmp=tokenize(rng,"="); + Vname=tmp_1; + tmp=parse(tmp_2); + t1=tmp_1; + t2=tmp_2; + tmp="funP("+Vname+","+xf+","+yf+"):="+func+";"; + parse(tmp); + tmp=tokenize(func,","); + tmp1="-("+substring(tmp_1,1,length(tmp_1))+")"; + tmp2="-("+substring(tmp_2,0,length(tmp_2)-1)+")"; + tmp="funN("+Vname+","+xf+","+yf+"):=["+tmp1+","+tmp2+"];"; + parse(tmp); + dt=(t2-t1)/Num; + tt=initt; + tmp=Lcrd(initf); + x0=tmp_1; + y0=tmp_2; + pdL=[[tt,x0,y0]]; + flg=0; + forall(1..floor((t2-initt)/dt), + if(flg==0, + kl1=dt*funP(tt,x0,y0); + kl2=dt*funP(tt+dt/2,x0+kl1_1/2,y0+kl1_2/2); + kl3=dt*funP(tt+dt/2,x0+kl2_1/2,y0+kl2_2/2); + kl4=dt*funP(tt+dt,x0+kl3_1,y0+kl3_2);//16.10.14 + tmp1=[x0,y0]+(kl1+2*kl2+2*kl3+kl4)/6; + x0=tmp1_1; + y0=tmp1_2; + tt=initt+#*dt; + pdL=append(pdL,[tt,x0,y0]); + if(|tmp1|>Inf,flg=1); + ); + ); + tt=initt; + tmp=Lcrd(initf); + x0=tmp_1; + y0=tmp_2; + flg=0; + forall(1..floor((initt-t1)/dt), + if(flg==0, + kl1=dt*funN(tt,x0,y0); + kl2=dt*funN(tt+dt/2,x0+kl1_1/2,y0+kl1_2/2); + kl3=dt*funN(tt+dt/2,x0+kl2_1/2,y0+kl2_2/2); + kl4=dt*funN(tt+dt/2,x0+kl3_1/2,y0+kl3_2/2); + tmp1=[x0,y0]+(kl1+2*kl2+2*kl3+kl4)/6; + x0=tmp1_1; + y0=tmp1_2; + tt=initt-#*dt; + pdL=prepend([tt,x0,y0],pdL); + if(|tmp1|>Inf,flg=1); + ); + ); + println("Generate Deqplot "+name); + pdL=apply(pdL,#_Sel); + tmp1=apply(pdL,Pcrd(#)); + tmp=name+"="+textformat(tmp1,5); + parse(tmp); + ); + if(Noflg<1, + tmp=name+"=Deqplot(Assign("+Dq+deq+Dq+"),'"+rng+"',"; + tmp=tmp+initt+","+initf+opstr+")"; + GLIST=append(GLIST,tmp); + ); + ); + if(Noflg<2, + if(isstring(Ltype), + Ltype=GetLinestyle(text(Noflg)+Ltype,name); + , + if(Noflg==1,Ltype=0); + ); + if(outstr=="Sci", + if(Inflg==1, + GCLIST=append(GCLIST,[name,Ltype,opcindy]); + ); + , + GCLIST=append(GCLIST,[name,Ltype,opcindy]); + pdL; + ); + ); +); + +Enclosing(nm,plist):=EnclosingS(nm,plist); +Enclosing(nm,plist,options):=EnclosingS(nm,plist,options); +EnclosingS(nm,plist):=EnclosingS(nm,plist,[]); +EnclosingS(nm,plist,options):=( +//help:Enclosing("1",["sc2","crAB","sc2","Invert(sc1)"],[pt,"dr"]); + regional(name,AnsL,Start,Eps,EEps,S,Flg,Fdata,Gdata,KL,pt,qt, + t1,t2,t3,ii,nn,tmp,tmp1,tmp2,Ltype,Noflg,realL,eqL,opstr,opcindy); + name="en"+nm; + tmp=Divoptions(options); + Ltype=tmp_1; + Noflg=tmp_2; + eqL=tmp_5; + realL=tmp_6; + opstr=tmp_(length(tmp)-1); + opcindy=tmp_(length(tmp)); + Eps=10^(-3); + EEps=0.1; + Start=[]; + Flg=0; + forall(realL, + if(isList(#) % ispoint(#), + Start=Lcrd(#); // 15.09.12 + , + Flg=Flg+1; + if(Flg==1,Eps=#); + if(Flg==2,EEps=#); + ); + ); +// tmp1=concat([Eps,EEps],eqL); // 15.04.06 + Fdata=plist_1; + Gdata=plist_(length(plist)); + KL=IntersectcrvsPp(Fdata,Gdata); + if(length(KL)==1, + pt=KL_1_1; + t1=KL_1_2; + ); + if(length(KL)==0, + if(Numptcrv(Fdata)>Numptcrv(Gdata), + tmp=Nearestpt(Fdata,Gdata); + pt=tmp_1; + t1=tmp_2; + , + tmp=Nearestpt(Gdata,Fdata); + pt=tmp_3; + t1=tmp_4; + ); + ); + if(length(KL)>1, + if(Start==[], + err("No Start Point"); + , + pt=KL_1_1; + t1=KL_1_2; + tmp=|pt-Start|; + forall(2..length(KL),ii, // 15.04.20 + tmp1=KL_ii_1; + tmp2=|tmp1-Start|; // 15.04.20 + if(tmp2<tmp, + pt=tmp1; + t1=KL_ii_2; + tmp=tmp2; + ); + ); + ); + ); +// pt=Pcrd(pt); // 15.09.12 + Start=pt; + AnsL=[]; + forall(1..length(plist),nn, + Fdata=plist_nn; + if(nn>1, pt=qt); + if(nn==length(plist), + qt=Start; + , + Flg=0; + Gdata=plist_(nn+1); +// tmp1=concat([Eps,EEps],eqL); // 15.04.06 + KL=IntersectcrvsPp(Gdata,Fdata); + if(length(KL)==1, + tmp=KL_1; + qt=KL_1_1; + t3=KL_1_2; + Flg=10; + ); + if(length(KL)==0,Flg=1); + if(length(KL)>1, + tmp1=KL_1_1; + tmp2=KL_2_1; + tmp=|tmp1-tmp2|; + if(tmp<Eps*10, Flg=1); + ); + if(Flg==1, + if(Numptcrv(Fdata)>Numptcrv(Gdata), + tmp=Nearestpt(Fdata,Gdata); + qt=tmp_1; + t3=tmp_4; + Flg=10; + , + tmp=Nearestpt(Gdata,Fdata); + qt=tmp_3; + t3=tmp_2; + Flg=10; + ); + ); + if(Flg<10, + t2=10^6; //%inf; + forall(1..length(KL),ii, + tmp1=KL_ii_1; + tmp=KL_ii_3; + tmp2=ParamonCurve(tmp1,tmp,Fdata); + tmp3=KL_ii_2; + if(tmp2>t1+Eps & tmp2<t2+Eps, + qt=tmp1; + t2=tmp2; + t3=tmp3; + ); + ); + ); + ); + tmp=Partcrv("",pt,qt,Fdata,["nodata"]); + t1=t3; + if(nn==1, + AnsL=tmp; + , + AnsL=concat(AnsL,tmp_(2..length(tmp))); + ); + ); + AnsL=apply(AnsL,Pcrd(#)); // 15.09.12 + AnsL_(length(AnsL))=AnsL_1;//16.10.20 + if(Noflg<3, + println("generate Enclosing "+name); + tmp=name+"="+textformat(AnsL,5); + parse(tmp); +// tmp=name+"=Enclosing(";//16.10.20from +// tmp1="list("; +// forall(plist, +// tmp1=tmp1+#+","; +// ); +// tmp=tmp+substring(tmp1,0,length(tmp1)-1)+")"+opstr+")"; + tmp=apply(AnsL,LLcrd(#)); + tmp=name+"=Listplot("+textformat(tmp,5)+")";//16.10.20upto + GLIST=append(GLIST,tmp); + ); + if(Noflg<2, + if(isstring(Ltype), + Ltype=GetLinestyle(text(Noflg)+Ltype,name); + , + if(Noflg==1,Ltype=0); + ); + GCLIST=append(GCLIST,[name,Ltype,opcindy]); + ); + tmp=apply(AnsL,LLcrd(#));//16.10.20 + tmp; +); + +Shade(plist):=Shade(plist,[]); +Shade(plist,options):=( +//help:Shade(["gr2","sg1"],[0.5]); +//help:Shade([pointlist],[0.5]); + regional(tmp,tmp1,tmp2,opstr,opcindy,Str,G2,flg); + if(isstring(plist_1), // 16.01.24 + println("output Shade of "+plist); + , + println("output Shade of lists"); + ); + tmp=Divoptions(options); + opstr=tmp_(length(tmp)-1); + opcindy=tmp_(length(tmp)); + flg=0; + forall(plist, + if(flg==0, + if(isstring(#),tmp=parse(#),tmp=#); // from 16.01.24 + if(!islist(tmp),flg=1); upto + ); + ); + if(flg==1, +// err("some data not defined yet"); + , + G2=Joincrvs("1",plist,["nodata"]); + G2=apply(G2,Pcrd(#)); + tmp1="fillpoly("+textformat(G2,5)+opcindy+");"; + parse(tmp1); + ); + Str="Shade("; + tmp1="list("; + forall(plist, + if(isstring(#), // from 16.01.24 + if(length(#)>1, + tmp1=tmp1+#+","; + , + tmp1=tmp1+Dq+#+Dq+","; + ); + , + tmp1=tmp1+"Listplot("+textformat(#,5)+"),"; + ); // upto 16.01.24 + ); + Str=Str+substring(tmp1,0,length(tmp1)-1)+")"+opstr+")"; + Com2nd(Str); +); + + +//help:start(); + +Rotatepoint(point,Theta,ctr):=( +//help:Rotatepoint(A,2*pi/3,B); + regional(X1,X2,Y1,Y2,Cx,Cy,tmp); + tmp=Lcrd(point); + X1=tmp_1; Y1=tmp_2; + tmp=Lcrd(ctr); + Cx=tmp_1; Cy=tmp_2; + X2=Cx+(X1-Cx)*cos(Theta)-(Y1-Cy)*sin(Theta); + Y2=Cy+(X1-Cx)*sin(Theta)+(Y1-Cy)*cos(Theta); + [X2,Y2]; +); + +Translatepoint(point,mov):=( +//help:Translatepoint(A,[2,3]); + regional(X1,X2,Y1,Y2,Cx,Cy,tmp); + tmp=Lcrd(point); + X1=tmp_1; Y1=tmp_2; + tmp=Lcrd(mov); + Cx=tmp_1; Cy=tmp_2; + X2=X1+Cx; + Y2=Y1+Cy; + [X2,Y2]; +); + +Scalepoint(point,ratio,center):=( +//help:Scalepoint(A,[3,2],[0,0]); + regional(X1,X2,Y1,Y2,Cx,Cy,tmp); + tmp=Lcrd(point); + X1=tmp_1; Y1=tmp_2; + tmp=Lcrd(center); + Cx=tmp_1; Cy=tmp_2; + X2=Cx+ratio_1*(X1-Cx); + Y2=Cy+ratio_2*(Y1-Cy); + [X2,Y2]; +); + +Reflectpoint(point,symL):=( +//help:Reflectpoint(A,B); +//help:Reflectpoint(A,[[2,3]]); +//help:Reflectpoint(A,[C,E]);\\ + regional(X1,X2,Y1,Y2,Us,Vs,Pt1,Pt2,Cx,Cy,tmp); + tmp=Lcrd(point); + X1=tmp_1; Y1=tmp_2; + Pt1=Lcrd(symL_1); + if(length(symL)==1, + Pt2=Pt1; + , + Pt2=Lcrd(symL_2); + ); + Us=Pt2_1-Pt1_1; + Vs=Pt2_2-Pt1_2; + if(Pt1==Pt2, + X2=2*Pt1_1-X1; + Y2=2*Pt1_2-Y1; + , + X2=(Us^2-Vs^2)/(Us^2+Vs^2)*X1+2*Us*Vs/(Us^2+Vs^2)*Y1 + -2*Vs*(Us*Pt1_2-Vs*Pt1_1)/(Us^2+Vs^2); + Y2=2*Us*Vs/(Us^2+Vs^2)*X1-(Us^2-Vs^2)/(Us^2+Vs^2)*Y1 + +2*Us*(Us*Pt1_2-Vs*Pt1_1)/(Us^2+Vs^2); + ); + [X2,Y2]; +); + +Rotatedata(nm,plist,Theta):=Rotatedata(nm,plist,Theta,[]); +Rotatedata(nm,plist,angle,options):=( +//help:Rotatedata("1","crAB",pi/3,[[1,5],"dr,2"]); + regional(tmp,tmp1,tmp2,pdata,Theta,Pt,Cx,Cy,PdLL,PdL, + opcindy,Nj,Njj,Kj,Mj,X1,Y1,X2,Y2,Ltype,Noflg,name); + name="rt"+nm; + Pt=[0,0]; + tmp=Divoptions(options); + Ltype=tmp_1; + Noflg=tmp_2; + opcindy=tmp_(length(tmp)); + tmp1=tmp_6; + if(length(tmp1)>0,Pt=Lcrd(tmp1_1)); + pdata=plist; + if(isstring(pdata),pdata=[pdata]); + if(!isstring(pdata_1) & MeasureDepth(pdata)==1, + pdata=[pdata]; + ); + if(isstring(angle),Theta=parse(angle),Theta=angle); + Cx=Pt_1; Cy=Pt_2; + PdL=[]; + forall(pdata,Njj, + if(isstring(Njj),Kj=parse(Njj),Kj=Njj); + if(MeasureDepth(Kj)==1,Kj=[Kj]); + tmp2=[]; + forall(Kj,Nj, + tmp1=[]; + forall(Nj, + tmp=LLcrd(#); + X1=tmp_1; + Y1=tmp_2; + X2=Cx+(X1-Cx)*cos(Theta)-(Y1-Cy)*sin(Theta); + Y2=Cy+(X1-Cx)*sin(Theta)+(Y1-Cy)*cos(Theta); + tmp1=concat(tmp1,[[X2,Y2]]); + ); + tmp2=concat(tmp2,[tmp1]); + ); + PdL=concat(PdL,tmp2); + ); + if(Noflg<3, + println("generate Rotatedata "+name); + tmp1=[]; + forall(PdL,tmp2, + tmp=apply(tmp2,Pcrd(#)); + tmp1=append(tmp1,tmp); + ); + if(length(tmp1)==1,tmp1=tmp1_1); + tmp=name+"="+textformat(tmp1,5); + parse(tmp); +// tmp1=textformat(plist,5); + tmp1=text(plist); // 15.10.15 + tmp1=replace(tmp1,"[","list("); + tmp1=replace(tmp1,"]",")"); + tmp=name+"=Rotatedata("+tmp1+"," + +textformat(angle,5)+","+textformat(Pt,5)+")"; + GLIST=append(GLIST,tmp); + ); + if(Noflg<2, + if(isstring(Ltype), + Ltype=GetLinestyle(text(Noflg)+Ltype,name); + , + if(Noflg==1,Ltype=0); + ); + GCLIST=append(GCLIST,[name,Ltype,opcindy]); + ); + PdL; +); + +translatedata(nm,plist,mov):=translatedata(nm,plist,mov,[]); +translatedata(nm,plist,mov,options):=( +//help:translatedata("1",["gr1"],[1,2]); + regional(tmp,tmp1,tmp2,pdata,Cx,Cy,PdL,Nj,Njj,Kj, + opcindy,X2,Y2,Ltype,Noflg,name); + name="tr"+nm; + tmp=Divoptions(options); + Ltype=tmp_1; + Noflg=tmp_2; + opcindy=tmp_(length(tmp)); + pdata=plist; + if(isstring(pdata),pdata=[pdata]); + if(!isstring(pdata_1) & MeasureDepth(pdata)==1, + pdata=[pdata]; + ); + tmp=Lcrd(mov); + Cx=tmp_1; Cy=tmp_2; + PdL=[]; + forall(pdata,Njj, + if(isstring(Njj),Kj=parse(Njj),Kj=Njj); + if(MeasureDepth(Kj)==1,Kj=[Kj]); + tmp2=[]; + forall(Kj,Nj, + tmp1=[]; + forall(Nj, + tmp=LLcrd(#); + X2=tmp_1+Cx; + Y2=tmp_2+Cy; + tmp1=concat(tmp1,[[X2,Y2]]); + ); + tmp2=concat(tmp2,[tmp1]); + ); + PdL=concat(PdL,tmp2); + ); + if(Noflg<3, + println("generate translatedata "+name); + tmp1=[]; + forall(PdL,tmp2, + tmp=apply(tmp2,Pcrd(#)); + tmp1=append(tmp1,tmp); + ); + if(length(tmp1)==1,tmp1=tmp1_1); + tmp=name+"="+textformat(tmp1,5); + parse(tmp); +// tmp1=textformat(plist,5); + tmp1=text(plist); // 15.10.15 + tmp1=replace(tmp1,"[","list("); + tmp1=replace(tmp1,"]",")"); + tmp=name+"=translatedata("+tmp1+","+textformat(mov,5)+")"; + GLIST=append(GLIST,tmp); + ); + if(Noflg<2, + if(isstring(Ltype), + Ltype=GetLinestyle(text(Noflg)+Ltype,name); + , + if(Noflg==1,Ltype=0); + ); + GCLIST=append(GCLIST,[name,Ltype,opcindy]); + ); + PdL; +); + +Scaledata(nm,plist,ratioV):=( + regional(tmp); + tmp=Lcrd(ratioV); + Scaledata(nm,plist,tmp_1,tmp_2,[]); +); +Scaledata(nm,plist,Arg1,Arg2):=( +//help:Scaledata("1","crAB",3,2,[[0,0]]); + regional(tmp,options); + if(islist(Arg2), + tmp=Lcrd(Arg1); + options=Arg2; + Scaledata(nm,plist,tmp_1,tmp_2,options); + , + Scaledata(nm,plist,Arg1,Arg2,[]); + ); +); +Scaledata(nm,plist,rx,ry,options):=( + regional(tmp,tmp1,tmp2,pdata,Theta,Pt,Cx,Cy,PdL, + opcindy,Nj,Njj,Kj,X2,Y2,Ltype,Noflg,name); + name="sc"+nm; + Pt=[0,0]; + tmp=Divoptions(options); + Ltype=tmp_1; + Noflg=tmp_2; + opcindy=tmp_(length(tmp)); + tmp1=tmp_6; + if(length(tmp1)>0, + Pt=Lcrd(tmp1_1); + ); + pdata=plist; + if(isstring(pdata),pdata=[pdata]); + if(!isstring(pdata_1) & MeasureDepth(pdata)==1, + pdata=[pdata]; + ); + Cx=Pt_1; Cy=Pt_2; + PdL=[]; + forall(pdata,Njj, + if(isstring(Njj),Kj=parse(Njj),Kj=Njj); + if(MeasureDepth(Kj)==1,Kj=[Kj]); + tmp2=[]; + forall(Kj,Nj, + tmp1=[]; + forall(Nj, + tmp=LLcrd(#); + X2=Cx+rx*(tmp_1-Cx); + Y2=Cy+ry*(tmp_2-Cy); + tmp1=concat(tmp1,[[X2,Y2]]); + ); + tmp2=concat(tmp2,[tmp1]); + ); + PdL=concat(PdL,tmp2); + ); + if(Noflg<3, + println("generate Scaledata "+name); + tmp1=[]; + forall(PdL,tmp2, + tmp=apply(tmp2,Pcrd(#)); + tmp1=append(tmp1,tmp); + ); + if(length(tmp1)==1,tmp1=tmp1_1); + tmp=name+"="+textformat(tmp1,5); + parse(tmp); + tmp1=text(plist); // 15.10.15 + tmp1=replace(tmp1,"[","list("); + tmp1=replace(tmp1,"]",")"); + tmp=name+"=Scaledata("+tmp1+"," + +textformat(rx,5)+","+textformat(ry,5)+","+textformat(Pt,5)+")"; + GLIST=append(GLIST,tmp); + ); + if(Noflg<2, + if(isstring(Ltype), + Ltype=GetLinestyle(text(Noflg)+Ltype,name); + , + if(Noflg==1,Ltype=0); + ); + GCLIST=append(GCLIST,[name,Ltype,opcindy]); + ); + PdL; +); + +Reflectdata(nm,plist,symL):=Reflectdata(nm,plist,symL,[]); +Reflectdata(nm,plist,symL,options):=( +//help:Reflectdata("1","crAB",[C]); + regional(tmp,tmp1,tmp2,pdata,Us,Vs,Pt1,Pt2,Cx,Cy,PdL, + opcindy,Nj,Njj,Kj,X1,Y1,X2,Y2,Ltype,Noflg,name); + name="re"+nm; + Pt=[0,0]; + tmp=Divoptions(options); + Ltype=tmp_1; + Noflg=tmp_2; + opcindy=tmp_(length(tmp)); + pdata=plist; + if(isstring(pdata),pdata=[pdata]); + if(!isstring(pdata_1) & MeasureDepth(pdata)==1, + pdata=[pdata]; + ); + Pt1=Lcrd(symL_1); + if(length(symL)==1, + Pt2=Pt1; + , + Pt2=Lcrd(symL_2); + ); + Us=Pt2_1-Pt1_1; + Vs=Pt2_2-Pt1_2; + PdL=[]; + forall(pdata,Njj, + if(isstring(Njj),Kj=parse(Njj),Kj=Njj); + if(MeasureDepth(Kj)==1,Kj=[Kj]); + tmp2=[]; + forall(Kj,Nj, + tmp1=[]; + forall(Nj, + tmp=LLcrd(#); + X1=tmp_1; + Y1=tmp_2; + if(Pt1==Pt2, + X2=2*Pt1_1-X1; + Y2=2*Pt1_2-Y1; + , + X2=(Us^2-Vs^2)/(Us^2+Vs^2)*X1+2*Us*Vs/(Us^2+Vs^2)*Y1 + -2*Vs*(Us*Pt1_2-Vs*Pt1_1)/(Us^2+Vs^2); + Y2=2*Us*Vs/(Us^2+Vs^2)*X1-(Us^2-Vs^2)/(Us^2+Vs^2)*Y1 + +2*Us*(Us*Pt1_2-Vs*Pt1_1)/(Us^2+Vs^2); + ); + tmp1=concat(tmp1,[[X2,Y2]]); + ); + tmp2=concat(tmp2,[tmp1]); + ); + PdL=concat(PdL,tmp2); + ); + if(Noflg<3, + println("generate Reflectdata "+name); + tmp1=[]; + forall(PdL,tmp2, + tmp=apply(tmp2,Pcrd(#)); + tmp1=append(tmp1,tmp); + ); + if(length(tmp1)==1,tmp1=tmp1_1); + tmp=name+"="+textformat(tmp1,5); + parse(tmp); +// tmp1=textformat(plist,5); + tmp1=text(plist); // 15.10.15 + tmp1=replace(tmp1,"[","list("); + tmp1=replace(tmp1,"]",")"); + tmp=name+"=Reflectdata("+tmp1+","+textformat(symL,5)+")"; + GLIST=append(GLIST,tmp); + ); + if(Noflg<2, + if(isstring(Ltype), + Ltype=GetLinestyle(text(Noflg)+Ltype,name); + , + if(Noflg==1,Ltype=0); + ); + GCLIST=append(GCLIST,[name,Ltype,opcindy]); + ); + PdL; +); + +Mksegments():=Mksegments([]); +Mksegments(options):=( +//help:Mksegments(); + regional(segstr,p,q,r,tmp1,tmp2,tmp3); + forall(allsegments(),seg, + str=text(inspect(seg,"definition")); + tmp1=indexof(str,"("); + tmp2=indexof(str,";"); + tmp3=indexof(str,")"); + p=substring(str,tmp1,tmp2-1); + q=substring(str,tmp2,tmp3-1); + Listplot([parse(p),parse(q)]); + ); +); + +Mkcircles():=Mkcircles([]); +Mkcircles(options):=( +//help:Mkcircles(): + regional(seg,cir,str,p,q,r,tmp1,tmp2,tmp3,tmp4); + forall(allcircles(),cir, + str=text(inspect(cir,"definition")); + tmp1=indexof(str,"("); + tmp2=indexof(str,";"); + tmp3=indexof(str,")"); + tmp4=indexof(str,";",tmp2+1); + if(tmp4==0, + p=substring(str,tmp1,tmp2-1); + q=substring(str,tmp2,tmp3-1); + Circledata([parse(p),parse(q)]); + , + p=substring(str,tmp1,tmp2-1); + q=substring(str,tmp2,tmp4-1); + r=substring(str,tmp4,tmp3-1); + Circledata([parse(p),parse(q),parse(r)]); + ); + ); +); + +Makesciarg(arglist):=( + regional(str,tmpstr); + str=""; + forall(arglist, + if(isstring(#), + tmpstr=Dq+#+Dq; + , + tmpstr=textformat(#,5); + ); + str=str+tmpstr+","; + ); + str=substring(str,0,length(str)-1); + str; +); + +Setax(arglist):=( +//help:Setax(["l","x","e","y","n","O","sw"]); +//help:Setax([7,"nw"]); + regional(tmp); + tmp=Makesciarg(arglist); + Com1st("Setax("+tmp+")"); +); + +Htickmark(arglist):=( +//help:Htickmark([1,"1",2,"sw","2"]); + regional(tmp); + tmp=""; + tmp=Makesciarg(arglist); + Com2nd("Htickmark("+tmp+")"); +); + +Vtickmark(arglist):=( +//help:Vtickmark([1,"1",2,"sw","2"]); + regional(tmp); + tmp=Makesciarg(arglist); + Com2nd("Vtickmark("+tmp+")"); +); + +Drwxy():=( +//help:Drwxy(); + Com2nd("Drwxy()"); + Addax(0); // 16.01.21 +); + +Drwpt(pstr):=Drawpoint(pstr); +Drwpt(ptlist,nn):=( // 16.03.05 from +//help:Drwpt(A); +//help:Drwpt("[1,1],0"); +//help:Drwpt(A,0); +//help:Drwpt([1,2],0); + Drawpoint(ptlist,nn); +); +Drawpoint(pstr):=( + if(isstring(pstr), + println("Drwpt : "+pstr); + Com2nd("Drwpt("+pstr+")"); + , + Drawpoint(pstr,1); + ); +); +Drawpoint(ptlistorg,nn):=( + regional(ptlist,thick,tmp,tmp1); + println("Drwpt : "+text(ptlistorg)); + if(islist(ptlistorg), + if(MeasureDepth(ptlistorg)==1, + ptlist=ptlistorg + , + ptlist=[ptlistorg] + ); + , + ptlist=[ptlistorg] + ); + thick=PenThick/PenThickInit;// 16.04.09 from + tmp1=max(TenSize/TenSizeInit,1)/8; + Setpen(tmp1); // 16.04.09 upto + forall(ptlist, + tmp=textformat(#,5)+","+text(nn); + Com2nd("Drwpt("+tmp+")"); // 16.04.09 + ); + Setpen(thick); // 16.04.09 +);// 16.03.05 upto + +Addax(param):=( +//help:Addax(0); + ADDAXES=text(param); +); + +Expr(Pt,Dr,St):=Expr([Pt,Dr,St]); +Expr(list):=Expr(list,[]); +Expr(listorg,options):=( //16.10.09 +//help:Expr([A,"e","f(x)=x^2"]); + regional(list,str,tmp,tmp1,tmp2); + list=listorg; + forall(1..round(length(list)/3), + str=list_(3*#); + if(!isstring(str),str=format(str,5)); + str="$"+str+"$"; + list_(3*#)=str; + ); + Letter(list,options); +); + +Letter(Pt,Dr,St):=Letter([Pt,Dr,St]); +Letter(list):=Letter(list,[]); +Letter(list,options):=( +//help:Letter([C,"c","Graph of f(x)"]); + regional(Nj,Pos,Dir,Str,Off,Dmv,Xmv,Ymv,Noflg,opcindy, + opL,aln,sz,clr,bld,ita,tmp,tmp1,tmp2); + tmp=Divoptions(options); + Noflg=tmp_2; + opL=select(options,indexof(#,"->")>0); //16.10.09from + tmp=select(opL,indexof(#,"color")); + size=12; + clr=[0,0,0]; + bld=false; + ita=false; + aln="left"; + forall(opL, + tmp=indexof(#,"->"); + tmp1=removespace(substring(#,0,tmp-1)); + tmp2=substring(#,tmp+1,length(#)); + if(tmp1=="size",sz=parse(tmp2)); + if(tmp1=="color",clr=parse(tmp2)); + if(tmp1=="bold",bld=parse(tmp2)); + if(tmp1=="ita",ita=parse(tmp2)); + );//16.10.09upto + Off=-4; + Dmv=8; + Nj=1; + while(Nj+2<=length(list), +// Pos=textformat(list_Nj,5); + Pos=list_Nj; + Dir=list_(Nj+1); + tmp=indexof(Dir,"s")+indexof(Dir,"n");//16.10.19from + if(tmp>0, + tmp=indexof(Dir,"w")+indexof(Dir,"e"); + if(tmp==0, + Dir="c"+Dir;//16.10.08 + ); + );//16.10.19upto + Str=list_(Nj+2); + if(!isstring(Str),Str=format(Str,5)); // 16.09.30,10.09 + tmp=replace(Str,".xy",""); + tmp=replace(tmp,".x","(1)"); + Str=replace(tmp,".y","(2)"); + if(indexof(Str,"`")>0, +// tmp=Dq+",Assign('"+Str+"','`',Prime()))"; + tmp=Dq+",Assign('"+Str+"'))"; // 15.02.22 + , + tmp=Dq+","+Dq+Str+Dq+")"; + ); + if(Noflg==0, + Com2nd("Letter("+Lcrd(Pos)+","+Dq+Dir+tmp);//16.10.10 + ); + if(Noflg<2, + Xmv=0;//16.10.13 + Ymv=-4; + if(indexof(Dir,"n")>0, + Ymv=Dmv/2; + ); + if(indexof(Dir,"s")>0, + Ymv=-Dmv*3/2;//16.10.13 + ); + if(indexof(Dir,"e")>0, + Xmv=Dmv/2; + Off=0; + aln="left"; + ); + if(indexof(Dir,"w")>0, + Xmv=-Dmv/2; + Off=0; // 16.09.30from + aln="right"; + ); + if(indexof(Dir,"c")>0, + Xmv=0;//16.10.13 + Off=0; + if(Ymv==0,Ymv=-4);//16.10.08 + aln="mid"; // 16.09.30upto + ); + drawtext(Pcrd(Pos),Str,offset->[Off+Xmv,Off+Ymv], + size->sz,color->clr,align->aln,bold->bld,italics->ita);//16.10.09 + ); + Nj=Nj+3; + ); +); + +Letterrot(pt,dir,str):=Letterrot(pt,dir,0,0,str); +Letterrot(pt,dir,movstr,str):=( +//help:Letterrot(C,B-A,"AB"): +//help:Letterrot(C,B-A,0,5,"AB"): +//help:Letterrot(C,B-A,"t0n5","AB"): + regional(tmov,nmov,tmp,tmp1,tmp2); + tmp1=indexof(movstr,"t"); + tmp2=indexof(movstr,"n"); + if(tmp1>0, + if(tmp2>0,tmp=tmp2-1,tmp=length(movstr)); + tmov=parse(substring(movstr,tmp1,tmp)); + , + tmov=0; + ); + if(tmp2>0, + nmov=parse(substring(movstr,tmp2,length(movstr))); + , + nmov=0; + ); + Letterrot(pt,dir,tmov,nmov,str); +); +Letterrot(pt,dir,tmov,nmov,str):=( + Letter([pt,"c",str],["notex"]); + Com2nd("Letterrot("+pt+","+dir+","+tmov+","+nmov+",'"+str+"')"); +); + +Exprrot(pt,dir,str):=Exprrot(pt,dir,0,0,str); +Exprrot(pt,dir,movstr,str):=( +//help:Exprrot(C,B-A,"d"): +//help:Exprrot(C,B-A,0,5,"d"): +//help:Exprrot(C,B-A,"t0n5","d"): + regional(tmov,nmov,tmp,tmp1,tmp2); + tmp1=indexof(movstr,"t"); + tmp2=indexof(movstr,"n"); + if(tmp1>0, + if(tmp2>0,tmp=tmp2-1,tmp=length(movstr)); + tmov=parse(substring(movstr,tmp1,tmp)); + , + tmov=0; + ); + if(tmp2>0, + nmov=parse(substring(movstr,tmp2,length(movstr))); + , + nmov=0; + ); + Exprrot(pt,dir,tmov,nmov,str); +); +Exprrot(pt,dir,tmov,nmov,str):=( + Expr([pt,"c",str],["notex"]); + Com2nd("Exprrot("+pt+","+dir+","+tmov+","+nmov+",'"+str+"')"); +); + +Slider(ptstr,p1,p2):=( //17.04.11 +//help:Slider("A-C-B",[-3,0],[3,0]); + regional(pA,pB,pC,seg,sname,Alpha,tmp,tmp1); + tmp=indexall(ptstr,"-"); + pA=substring(ptstr,0,tmp_1-1); + pC=substring(ptstr,tmp_1,tmp_2-1); + pB=substring(ptstr,tmp_2,length(ptstr)); + seg=pA+pB; + Alpha="ABCDEFGHIJKLMNOPQRSTUVWXYZ"; + sname=""; + forall(1..(length(seg)), + tmp=substring(seg,#-1,#); + tmp1=indexof(Alpha,tmp); + if(tmp1>0, + sname=sname+unicode(text(tmp1+96),base->10); + , + sname=sname+tmp; + ); + ); + Putpoint(pA,p1); + Putpoint(pB,p2); + Listplot([parse(pA),parse(pB)],["notex","color->[0,0.4,0.4]","size->2"]); +// create([sname],"Segment",[parse(pA),parse(pB)]); +// tmp2=Listplot("",[p1,p2],["nodata"]); + Putonseg(pC,parse("sg"+pA+pB)); +// create([pC],"PointOn",[parse(sname),0.5]); +); + +Putpoint(name,Pt):=Putpoint(name,Pt,Pt); +Putpoint(name,Ptinit,Pt):=( +//help:Putpoint("A",[1,2],[1,A.y]); + regional(ptstr); + ptstr=apply(allpoints(),#.name); + if(!contains(ptstr,name), + createpoint(name,Pcrd([Ptinit_1,Ptinit_2])); + , + ptstr=name+".xy="+textformat(Pcrd(Pt),5); + parse(ptstr); + ); +); + +Bezierpt(t,ptlist,ctrlist):=( + regional(flg3,p0,p1,p2,p3,p4,p5,p6,p7,p8,p9); + p0=ptlist_1; + p3=ptlist_2; + p1=ctrlist_1; + if(length(ctrlist)==1, + p2=p3; + flg3=0; + , + p2=ctrlist_2; + flg3=1; + ); + if(length(p0)<3, // 15.02.08 + p0=Lcrd(p0); + p3=Lcrd(p3); + p1=Lcrd(p1); + p2=Lcrd(p2); + ); + p4=(1-t)*p0+t*p1; + p5=(1-t)*p1+t*p2; + p6=(1-t)*p2+t*p3; + p7=(1-t)*p4+t*p5; + p8=(1-t)*p5+t*p6; + p9=(1-t)*p7+t*p8; + if(flg3==0,p7,p9); +); + +Bezier(ptctrlist):=BezierCurve(ptctrlist_3,ptctrlist_1,ptctrlist_2,[]); +Bezier(ptctrlist,options):=BezierCurve(ptctrlist_3,ptctrlist_1,ptctrlist_2,options); +Bezier(nm,ptlist,ctrlist):=BezierCurve(nm,ptlist,ctrlist,[]); +Bezier(nm,ptlist,ctrlist,options):=BezierCurve(nm,ptlist,ctrlist,options); +BezierCurve(nm,ptlist,ctrlist):=BezierCurve(nm,ptlist,ctrlist,[]); +BezierCurve(nm,ptlistorg,ctrlistorg,options):=( +//help:Bezier("1",[A,D],[B,C]); +//help:Bezier(options=["Num=10"]); + regional(name,Ltype,Noflg,opstr,opcindy,Num, + ptlist,ctrlist,tmp,tmp1,tmp2,ii,st,out,list); + name="bz"+nm; + tmp=Divoptions(options); + Ltype=tmp_1; + Noflg=tmp_2; + opstr=tmp_(length(tmp)-1); + opcindy=tmp_(length(tmp)); + Num=10; + tmp1=tmp_5; + forall(tmp1, // 14.12.31 + if(substring(#,0,1)=="N", + tmp2=indexof(#,"="); + Num=parse(substring(#,tmp2,length(#))); + opstr=opstr+","+Dq+#+Dq; + ); + ); + ptlist=apply(ptlistorg,Lcrd(#)); // 16.08.16 + ctrlist=[]; // 14.12.31 + if(length(ctrlistorg)==length(ptlist)-1, + forall(ctrlistorg,tmp1, + if(MeasureDepth(tmp1)==0,tmp=[tmp1],tmp=tmp1); + tmp=apply(tmp,Lcrd(#)); // 16.08.16 + ctrlist=append(ctrlist,tmp); + ); + , + forall(1..(length(ptlist)-1),ii, + tmp=ctrlistorg_((2*ii-1)..(2*ii)); + tmp=apply(tmp,Lcrd(#)); // 16.08.16 + ctrlist=append(ctrlist,tmp); + ); + ); + if(!islist(Num), + Num=apply(ctrlist,Num); + ); + list=[]; + forall(1..(length(ptlist)-1),ii, + tmp1=ptlist_(ii..(ii+1)); + tmp2=ctrlist_ii; + if(ii==1,st=0,st=1); + forall(st..Num_ii, + tmp=Bezierpt(#/Num_ii,tmp1,tmp2); + list=append(list,tmp); + ); + ); + if(Noflg<3, + println("generate Bezier "+name); + out=apply(list,Pcrd(#)); + tmp=name+"="+textformat(out,5); + parse(tmp); + tmp1=textformat(ptlist,5); + tmp1="list("+substring(tmp1,1,length(tmp1)-1)+")"; + tmp2=textformat(ctrlist,5); + tmp2="list("+substring(tmp2,1,length(tmp2)-1)+")"; + GLIST=append(GLIST,name+"=Bezier("+tmp1+","+tmp2+opstr+")"); + ); + if(Noflg<2, + if(isstring(Ltype), + Ltype=GetLinestyle(text(Noflg)+Ltype,name); + , + if(Noflg==1,Ltype=0); + ); + GCLIST=append(GCLIST,[name,Ltype,opcindy]); + ); + list; +); + +Readcsvsla(fname):=Readplotdigdata(fname,[]); +Readcsvsla(fname,options):=Readplotdigdata(fname,options); +Readplotdigdata(fname):=Readplotdigdata(fname,[]); +Readplotdigdata(fname,options):=( + regional(fsc,mv,cmdall,dataL,nd,npt,ptdata,ii,tmp,tmp1,tmp2,tmp3); + tmp=Divoptions(options); + tmp1=tmp_6; + sc=1;//10; + mv=[0,0];//[5,5]; + forall(tmp1, + if(!islist(#),sc=#,mv=#); + ); + if(indexof(fname,".")>0, + tmp=load(fname); + , + tmp=load(fname+".txt"); + ); + cmdall=tokenize(tmp,"//"); + dataL=[]; + forall(2..length(cmdall),ii, + tmp1=parse("["+cmdall_ii+"]"); + dataL=append(dataL,tmp1); + ); + if(length(dataL_(length(dataL)))<2, + dataL=dataL_(1..(length(dataL)-1)); + ); + nd=length(dataL_1)/2; + npt=length(dataL); + ptdata=[]; + forall(1..nd,ii, + tmp3=[]; + forall(1..npt, + tmp1=dataL_#_(2*ii-1); + tmp2=dataL_#_(2*ii); + if(isreal(tmp1), + tmp3=append(tmp3,[tmp1,tmp2]); + ); + ); + ptdata=append(ptdata,tmp3); + ); + tmp1=[]; + forall(ptdata, + tmp=#/sc; + tmp=translatedata("1",[tmp],-mv,["nodata"]); + tmp1=append(tmp1,tmp); + ); + ptdata=tmp1; + ptdata; +); + +Putbezierdata(name,ptL):=Putbezierdata(name,ptL,[]); +Putbezierdata(name,ptL,options):=( + regional(psize,Deg,tmp,tmp1,tmp2,p1,p2,pts,ctrs); + tmp=Divoptions(options); + psize=3; + Deg=3; + tmp1=tmp_5; + forall(tmp1, + if(substring(#,0,1)=="D", + tmp=indexof(#,"="); + Deg=parse(substring(#,tmp,length(#))); + ); + if(substring(#,0,1)=="S", + tmp=indexof(#,"="); + psize=parse(substring(#,tmp,length(#))); + ); + ); + pts=[]; + ctrs=[]; + forall(1..length(ptL), + p2=ptL_#; // 16.08.16 + if(ispoint(p2), + tmp1=text(p2); + , + tmp1=name+text(#); + Putpoint(tmp1,p2,Lcrd(parse(tmp1))); // 16.08.16 + ); + inspect(parse(tmp1),"ptsize",psize); + pts=append(pts,parse(tmp1)); + inspect(parse(tmp1),"color",4); + if(#>1, + p1=Lcrd(ptL_(#-1)); // 16.08.16 + p2=Lcrd(ptL_#); // 16.08.16 + if(Deg==3, + tmp=(2*p1+p2)/3; + tmp1=name+"p"+text(#-1); + Putpoint(tmp1,tmp,Lcrd(parse(tmp1))); // 16.08.16 + inspect(parse(tmp1),"labeled",false); //15.01.22 + Letter([parse(tmp1),"ne",tmp1],["notex"]); //15.01.22 + inspect(parse(tmp1),"ptsize",psize); + inspect(parse(tmp1),"color",3); + tmp=(p1+2*p2)/3; + tmp2=name+"q"+text(#-1); + Putpoint(tmp2,tmp,Lcrd(parse(tmp2))); // 16.08.16 + inspect(parse(tmp2),"labeled",false); //15.01.22 + Letter([parse(tmp2),"ne",tmp2],["notex"]); //15.01.22 + inspect(parse(tmp2),"ptsize",psize); + inspect(parse(tmp2),"color",3); + ctrs=append(ctrs,[parse(tmp1),parse(tmp2)]); + , + tmp=(p1+p2)/2; + tmp1=name+"p"+text(#-1); + Putpoint(tmp1,tmp,Lcrd(parse(tmp1))); // 16.08.16 + inspect(parse(tmp1),"labeled",false); //15.01.22 + Letter([parse(tmp1),"ne",tmp1],["notex"]); //15.01.22 + inspect(parse(tmp1),"ptsize",psize); + inspect(parse(tmp1),"color",3); + ctrs=append(ctrs,[parse(tmp1)]); + ); + ); + ); + [pts,ctrs,name]; +); + +Bezierstart(n):=( // 2016.02.26 + BezierNumber=n; +); + +Mkbezierptcrv(ptdata):=Mkbezierptcrv(ptdata,[]); +Mkbezierptcrv(ptdata,options):=( + //help:Mkbezierptcrv([A,B,C,D]); + //help:Mkbezierptcrv([[A,B],[C,D]]); + //help:Mkbezierptcrv(options=["Num=10"]); + // global BezierNumber + regional(ptlist,Out,tmp,tmp1,tmp2); + if(isstring(ptdata), + ptlist=Readcsvsla(ptdata,options); + , + ptlist=ptdata; + ); + if(MeasureDepth(ptlist)==1,ptlist=[ptlist]); + Out=[]; + forall(1..length(ptlist), + tmp=floor((BezierNumber-1)/26);// 15.02.23 + if(tmp==0,tmp="",tmp=text(tmp)); + tmp2=mod(BezierNumber,26); + if(tmp2==0,tmp2=26); + tmp1=unicode(text(96+tmp2),base->10)+tmp;// 15.03.11 + tmp2=Putbezierdata(tmp1,ptlist_#,options); + Bezier(tmp2,options); + BezierNumber=BezierNumber+1; + Out=append(Out,tmp2_(1..2)); + ); + Out; +); + +Mkbeziercrv(nm,ptctrL):=Mkbeziercrv(nm,ptctrL,[]); +Mkbeziercrv(nm,ptctrL,options):=( + //help:Mkbeziercrv("1",[[A,B,C,D],[[P,Q],[R,S],T]]); + regional(ptctrLL,name,ptlist,ctrlist,tmp,tmp1,tmp2); + if(MeasureDepth(ptctrL)==2,ptctrLL=[ptctrL],ptctrLL=ptctrL); + forall(1..length(ptctrLL), + name=nm+text(#); + ptlist=ptctrLL_#_1; + ctrlist=ptctrLL_#_2; + Bezier(name,ptlist,ctrlist,options); + ); +); + +Writebezier():=Writebezier(Fhead,"all"); +Writebezier(head):=Writebezier(head,"all"); +Writebezier(head,seL):=( +//help:Writebezier(file); +//help:Writebezier(file,"acd"); + regional(bz,dt,name,tmp,tmp1,tmp2); + bz=select(GLIST,indexof(#,"=Bezier")>0); + tmp1=[]; // 16.04.22from + if(seL!="all", + forall(1..length(seL), + tmp=substring(seL,#-1,#); + tmp=select(bz,indexof(#,"bz"+tmp)>0); + tmp1=concat(tmp1,tmp); + ); + bz=tmp1;// 16.04.22upto + ); + dt=[head+"n",[[length(bz),0]]]; + forall(1..length(bz), + tmp=indexof(bz_#,"="); + name=substring(bz_#,0,tmp-1); + tmp=indexof(bz_#,","+Dq); + if(tmp>0, + tmp1=substring(bz_#,0,tmp-1)+")"; + , + tmp1=bz_#; + ); + tmp1=replace(tmp1,"Bezier(","["); + tmp1=replace(tmp1,"list(","["); + tmp1=replace(tmp1,")","]"); + tmp1=replace(tmp1,",",".xy,"); + tmp1=replace(tmp1,"]",".xy]"); + tmp1=replace(tmp1,".xy,[",",["); + tmp1=replace(tmp1,"].xy","]"); + tmp1=replace(tmp1,name,head+text(#)); + parse(tmp1); + tmp=parse(head+text(#)+"_1"); + dt=concat(dt,[head+text(#)+"k",tmp]); + tmp=parse(head+text(#)+"_2"); + dt=concat(dt,[head+text(#)+"c",tmp]); + ); + WriteOutData(head+".txt",dt); + dt; +); + +Readbezier(file):=Readbezier(file,[]); +Readbezier(file,optionorg):=( +//help:Readbezier("xsr"); +//help:Readbezier(options=["Num=10","nogeo"]); + regional(nn,options,stL,geo,nc,alpha,out,tmp,tmp1,tmp2,tmp3); + options=optionorg; + tmp=Divoptions(options); + stL=tmp_7; + geo=0; + forall(stL, + tmp=Toupper(substring(#,0,1)); + if(tmp=="G",geo=1); + options=remove(options,[#]); + ); + ReadOutData(file); + tmp=file+"n_1_1"; + nn=parse(tmp); + out=[]; + forall(1..nn,nc, + tmp=file+text(nc); + tmp1=parse(tmp+"k"); + tmp2=parse(tmp+"c"); + if(MeasureDepth(tmp2)==1,tmp2=[tmp2]); // 16.04.22from + if(geo==1, + alpha="abcdefghijklmnopqrstuvwxyz"; + forall(1..length(tmp1), + tmp="k"+BezierNumber+"n"+text(nc)+substring(alpha,#-1,#); + Putpoint(tmp,tmp1_#,parse(tmp+".xy")); + inspect(parse(tmp),"labeled",false); + inspect(parse(tmp),"ptsize",3); + tmp1_#=parse(tmp+".xy"); + ); + forall(1..length(tmp2), + tmp="c"+BezierNumber+"n"+text(nc)+substring(alpha,#-1,#)+"1"; + Putpoint(tmp,tmp2_#_1,parse(tmp+".xy")); + inspect(parse(tmp),"labeled",false); + inspect(parse(tmp),"color",4); + inspect(parse(tmp),"ptsize",3); + tmp2_#_1=parse(tmp+".xy"); + tmp="c"+BezierNumber+"no"+text(nc)+substring(alpha,#-1,#)+"2"; + Putpoint(tmp,tmp2_#_2,parse(tmp+".xy")); + inspect(parse(tmp),"labeled",false); + inspect(parse(tmp),"color",4); + inspect(parse(tmp),"ptsize",3); + tmp2_#_2=parse(tmp+".xy"); + ); + BezierNumber=BezierNumber+1; + ); + Bezier(file+text(nc),tmp1,tmp2,options);// 16.04.22upto + out=append(out,"bz"+tmp); + ); + out; +); + +Ospline(nm,ptlist):=Ospline(nm,ptlist,[]); +Ospline(nm,ptlist,options):=( +//help:Ospline("1",ptlist,[options]); + regional(tmp,tmp1,tmp2,list,ptL,ctrL,name,closed,flg, + p0,p1,p2,p3,pQ,pR,cc,p01,p02,p11,p12,p21,p22,p31,p32); + name="o"+nm; + if(isstring(ptlist),list=parse(ptlist),list=ptlist); + if(|list_1-list_(length(list))|<10^(-6),closed=1,closed=0); +// list=apply(list,LLcrd(#)); + ctrL=[]; + forall(1..(length(list)-1), + flg=0; + p1=Lcrd(list_#); // 16.08.16 + p2=Lcrd(list_(#+1)); // 16.08.16 + if(#==1 % #==length(list)-1, + flg=1; + if(closed==0, + pQ=(p1+2*p2)/3; // 15.09.21 // 16.08.16 + pR=(2*p1+p2)/3; // 16.08.16 + ctrL=append(ctrL,[pQ,pR]); + flg=2; + , + if(#==1, + p0=Lcrd(list_(length(list)-1)); // 16.08.16 + p3=Lcrd(list_(#+2)); // 16.08.16 + , + p0=Lcrd(list_(#-1)); // 16.08.16 + p3=Lcrd(list_2); // 16.08.16 + ); + ); + ); + if(flg<=1, + if(flg==0, + p0=Lcrd(list_(#-1)); // 16.08.16 + p3=Lcrd(list_(#+2)); // 16.08.16 + ); + tmp=1+sqrt((1+Dotprod(p2-p0,p3-p1)/|p2-p0|/|p3-p1|)/2); + cc=4*|p2-p1|/3/(|p2-p0|+|p3-p1|)/tmp; + pQ=p1+cc*(p2-p0); // 15.09.21 // 16.08.16 + pR=p2+cc*(p1-p3); // 16.08.16 + ctrL=append(ctrL,[pQ,pR]); + ); + ); +// list=apply(list,LLcrd(#)); // 16.08.16 +// ctrL=apply(ctrL,LLcrd(#)); + if(closed==0, // 15.09.21 + p1=ctrL_2_1; + p2=Lcrd(list_2); // 16.08.16 + pQ=p2+(p2-p1); + ctrL_1=[pQ]; + tmp=length(ctrL); + tmp1=ctrL_(tmp-1); + p1=ctrL_(tmp-1)_2; + p2=Lcrd(list_(tmp)); // 16.08.16 + pQ=p2+(p2-p1); + ctrL_tmp=[pQ]; + ); + Bezier("o"+nm,list,ctrL,options); +); + +CRspline(nm,ptL):=CRspline(nm,ptL,[]); +CRspline(nm,ptL,options):=( + // Catmull-Rom spline +//help:CRspline("1",[A,B,C,A]); + regional(name,ptlist,ctrpts,eqL,opcindy,c,v,tmp,tmp1,tmp2,ctrlist,cflg); + name="crsp"+nm; + if(MeasureDepth(ptL)==1,tmp=[ptL],tmp=ptL); + ptlist=tmp_1; + if(length(tmp)==1, + cflg=1; + , + cflg=0; + ctrpts=tmp_2; + ); + c=1/6; + tmp=Divoptions(options); + eqL=tmp_5; + opcindy=tmp_(length(tmp)); // 15.03.05 + forall(eqL, + if(substring(#,0,1)=="R", + tmp2=indexof(#,"="); + c=parse(substring(#,tmp2,length(#))); + ); + ); + ptlist=apply(ptlist,Lcrd(#)); // 16.08.16 + ctrlist=[]; + forall(1..(length(ptlist)-1), + if(#==1, + if(cflg==0, + tmp1=ctrpts_1; + , + v=ptlist_2-ptlist_(length(ptlist)-1); + tmp1=ptlist_#+c*v; + ); + , + v=ptlist_(#+1)-ptlist_(#-1); + tmp1=ptlist_#+c*v; + ); + if(#==length(ptlist)-1, + if(cflg==0, + tmp2=ctrpts_2; + , + v=ptlist_2-ptlist_#; + tmp2=ptlist_(#+1)-c*v; + ); + , + v=ptlist_(#+2)-ptlist_#; + tmp2=ptlist_(#+1)-c*v; + ); + tmp=select(options,indexof(text(#),"->")>0); + tmp=append(tmp,"notex"); //15.03.05 + Pointdata(name+text(#),[tmp1,tmp2],tmp); + ctrlist=append(ctrlist,[tmp1,tmp2]); + ); + Bezier(nm,ptlist,ctrlist,options); +); + +Beziersmooth(nm,ptL):=Bzspline(nm,ptL,[]); +//help:Beziersmooth("1",[A,B,C,A]); +Beziersmooth(nm,ptL,options):=Bzspline(nm,ptL,options); +Bzspline(nm,ptL):=Bzspline(nm,ptL,[]); +Bzspline(nm,ptLorg,options):=( + // smooth bezier + regional(name,Eps,ptL,pt,pt1,pt2,pt3,npt,lstr, + tmp,tmp1,tmp2,cflg,ctrlist); + name="bzsp"+nm; + Eps=10^(-3); + ptL=apply(ptLorg,Lcrd(#)); // 16.08.16 + if(|ptL_1-ptL_(length(ptL))|<Eps,cflg=1,cflg=0); + forall(2..length(ptL), + pt=ptL_#; + pt1=ptL_(#-1); + tmp1="C"+text(#-1)+"q"; + Putpoint(tmp1,(pt1+4*pt)/5,Lcrd(parse(tmp1))); // 16.08.16 + ); + forall(2..(length(ptL)-1), + if(#<length(ptL) % cflg==1, + lstr="c"+text(#); + pt=ptLorg_#; // 16.08.16 + pt1=parse("C"+text(#-1)+"q"); + create([lstr],"Join",[pt1,pt]); + tmp2="C"+text(#)+"p"; + tmp=Append((2*pt.xy-pt1.xy),1); + create([tmp2],"PointOnLine",[parse(lstr),tmp]); + ); + ); + if(cflg==0, + pt=ptL_1; + pt1=ptL_2; + tmp1="C1p"; + Putpoint(tmp1,(4*pt+pt1)/5,Lcrd(parse(tmp1))); // 16.08.16 + ); + if(cflg==1, + lstr="c1"; + pt=ptLorg_1; // 16.08.16 + pt1=parse("C"+text(length(ptL)-1)+"q"); + create([lstr],"Join",[pt1,pt]); + tmp1="C1p"; + tmp=Append((2*pt.xy-pt1.xy),1); + create([tmp1],"PointOnLine",[parse(lstr),tmp]); + ); + ctrlist=[]; + forall(1..(length(ptL)-1), + if(#>1 % cflg==1, + tmp1="c"+text(#); + inspect(parse(tmp1),"alpha",0.3); + ); + tmp1="C"+text(#)+"p"; + tmp2="C"+text(#)+"q"; + inspect(parse(tmp1),"ptsize",3); + inspect(parse(tmp1),"color",3); + inspect(parse(tmp2),"ptsize",3); + inspect(parse(tmp2),"color",3); + tmp=[parse(tmp1),parse(tmp2)]; + ctrlist=append(ctrlist,tmp); + ); + Bezier(nm,ptL,ctrlist,options); + [ptL,ctrlist]; +); + +Beziersym(nm,ptL):=Bzsspline(nm,ptL,[]); +Beziersym(nm,ptL,options):=Bzsspline(nm,ptL,options); +Bzsspline(nm,ptL):=Bzsspline(nm,ptL,[]); +Bzsspline(nm,ptLorg,options):=( + // smooth bezier with symmetric control points + regional(name,Eps,ptL,pt,pt1,pt2,pt3,npt,lstr, + tmp,tmp1,tmp2,cflg,ctrlist); + name="bzssp"+nm; + Eps=10^(-3); + ptL=apply(ptLorg,Lcrd(#)); // 16.08.16 + if(|ptL_1-ptL_(length(ptL))|<Eps,cflg=1,cflg=0); + forall(2..length(ptL), + pt=ptL_#; + pt1=ptL_(#-1); + tmp1="C"+text(#-1)+"q"; + Putpoint(tmp1,(pt1+4*pt)/5,Lcrd(parse(tmp1))); + ); + forall(2..(length(ptL)-1), + if(#<length(ptL) % cflg==1, + pt=ptL_#; + pt1=parse("C"+text(#-1)+"q"); + tmp2="C"+text(#)+"p=2*pt-pt1"; + parse(tmp2); + ); + ); + if(cflg==0, + pt=ptL_1; + pt1=ptL_2; + Putpoint("C1p",(4*pt+pt1)/5,Lcrd(C1p)); // 16.08.16 + inspect(C1p,"ptsize",3); + inspect(C1p,"color",3); + ); + if(cflg==1, + pt=ptL_1; + pt1=Lcrd(parse("C"+text(length(ptL)-1)+"q")); // 16.08.16 + tmp1="Putpoint("+Dq+"C1p"+Dq+",2*pt-pt1)"; // 16.08.16 + parse(tmp1); + ); + ctrlist=[]; + forall(1..(length(ptL)-1), + tmp1="C"+text(#)+"p"; + tmp2="C"+text(#)+"q"; + inspect(parse(tmp2),"ptsize",3); + inspect(parse(tmp2),"color",3); + tmp=[parse(tmp1),parse(tmp2)]; + ctrlist=append(ctrlist,tmp); + ); + Bezier(nm,ptL,ctrlist,options); + [ptL,ctrlist]; +); + +Listbspline2bz(listorg):=( + regional(Eps,list,pcl,ptl,ctrl,k); + Eps=10^(-3); + list=apply(listorg,Lcrd(#)); // 16.08.16 + k=length(list); + if(|list_1-list_k|>Eps, + pcl=list; + pcl_1=2*list_1-list_2; + pcl_k=2*list_k-list_(k-1); + , + pcl=concat(list,[list_2]); + ); + ctrl=apply(2..(length(pcl)-1),[pcl_#]); + ptl=apply(1..(length(pcl)-1),(pcl_#+pcl_(#+1))/2); + [ptl,ctrl]; +); + +Bspline(nm,ctrL):=Bspline(nm,ctrL,[]); +Bspline(nm,ctrL,options):=( +//help:Bspline("",[A,B,C]); + regional(list,tmp); + list=Listbspline2bz(ctrL); + tmp=BezierCurve("b"+nm,list_1,list_2,options); + tmp; +); + +MeetCurve(Crv,Xorg,Yorg):=( + regional(Cv,tmp,tmp1,tmp2,X0,Y0,x1,x2,y1,y2,Ylist,Ban,Tate); + if(isstring(Crv),Cv=parse(Crv),Cv=Crv); + if(MeasureDepth(Cv)==2,Cv=Cv_1); + Cv=apply(Cv,LLcrd(#)); // 14.12.18 + while(length(Cv)==1, + Cv=Cv_1; + ); + Cv=apply(Cv,Lcrd(#)); + tmp1=min(apply(Cv,#_1)); + tmp2=max(apply(Cv,#_1)); + if(isstring(Xorg),X0=parse(Xorg),X0=Xorg); + if(isstring(Yorg),Y0=parse(Yorg),Y0=Yorg); + if(X0<tmp1, + X0=tmp1; + , + if(X0>tmp2, + X0=tmp2; + ); + ); + tmp1=select( + 1..(length(Cv)-1),Cv_#_1<=X0 & X0<=Cv_(#+1)_1); + tmp2=select( + 1..(length(Cv)-1),Cv_#_1>=X0 & X0>=Cv_(#+1)_1); + tmp2=remove(tmp2,common(tmp2,tmp1)); + Ban=concat(tmp1,tmp2); + Tate=select(Ban, + abs(Cv_#_1-Cv_(#+1)_1)<= + 10^(-2)*abs(Cv_#_2-Cv_(#+1)_2) + ); + Ban=remove(Ban,Tate); + Ylist=[]; + forall(Ban, + tmp=Cv_#; + x1=tmp_1; y1=tmp_2; + tmp=Cv_(#+1); + x2=tmp_1; y2=tmp_2; + tmp=((x2-X0)*y1+(X0-x1)*y2)/(x2-x1); + Ylist=append(Ylist,tmp); + ); + forall(Tate, + tmp=Cv_#; + x1=tmp_1; y1=tmp_2; + tmp=Cv_(#+1); + x2=tmp_1; y2=tmp_2; + tmp1=min([y1,y2]); + tmp2=max([y1,y2]); + if(Y0<tmp1, + tmp=tmp1; + , + if(Y0>tmp2, + tmp=tmp2; + , + tmp=Y0; + ); + ); + Ylist=append(Ylist,tmp); + ); + tmp=sort(Ylist,abs(#_1-Y0)); + [X0,tmp_1]; +); + +PutonLine(name,p1,p2):=PutonLine(name,p1,p2,[]); +PutonLine(name,p1org,p2org,options):=( +//help:PutonLine("C","sgAB"); +//help:PutonLine("C",pA,pB); + regional(par,p1,p2,dx,dy,tmp,tmp1,tmp2); + par=0.5; + tmp=Divoptions(options); + if(length(tmp_6)>0, + par=tmp_6_1; + ); + p1=Lcrd(p1org);//16.10.11from + p2=Lcrd(p2org); + dx=p2_1-p1_1; + dy=p2_2-p1_2; + tmp1=(1-par)*p1+par*p2; + if(abs(dx)>abs(dy), + tmp=name+".x"; + tmp2="["+tmp+",dy/dx*("+tmp+"-p1_1)+p1_2]";//16.10.11upto + Putpoint(name,tmp1,parse(tmp2)); + , + if(abs(dy)>0, + tmp=name+".y"; + tmp2="[dx/dy*("+tmp+"-p1.y)+p1_1,"+tmp+"]"; + Putpoint(name,tmp1,parse(tmp2)); + , + tmp2=p1;//16.10.11 + Putpoint(name,tmp1,tmp2); + ); + ); +); + +PutonSeg(name,sgstr):=( + regional(seg,p1,p2); + if(isstring(sgstr),seg=parse(sgstr),seg=sgstr); + PutonSeg(name,LLcrd(seg_1),LLcrd(seg_2)); +); +PutonSeg(name,p1,p2):=PutonSeg(name,p1,p2,[]); +PutonSeg(name,p1org,p2org,options):=( +//help:PutonSeg("C","sgAB"); +//help:PutonSeg("C",pA,pB); + regional(par,dx,dy,p,tmp,tmp1,tmp2); + par=0.5; + tmp=Divoptions(options); + if(length(tmp_6)>0, + par=tmp_6_1; + ); + p1=Lcrd(p1org);//16.10.11from + p2=Lcrd(p2org); + PutonLine(name,p1,p2,[par]); + dx=p2_1-p1_1; + dy=p2_2-p1_2; + p=parse(name+".xy"); + p=LLcrd(p); + if(abs(dx)>abs(dy) & (p_1-p1_1)*(p_1-p2_1)>0, + if(|p-p1|<|p-p2|, + parse(name+".xy=Pcrd(p1)"); + , + parse(name+".xy=Pcrd(p2)"); + ); + ); + if(abs(dx)<abs(dy) & (p_2-p1_2)*(p_2-p2_2)>0, + if(|p-p1|<|p-p2|, + parse(name+".xy=Pcrd(p1)"); + , + parse(name+".xy=Pcrd(p2)");//16.10.11upto + ); + ); +); + +PutonCurve(pn,crv):=PutonCurve(pn,crv,[]); +PutonCurve(pn,crv,options):=( +//help:PutonCurve("A","gr1"); + regional(Pmt,pstr,optionL,leftlim,rightlim,tmp,tmp1,Flg,Msg); + if(!islist(options),optionL=[options],optionL=options); + leftlim=XMIN; + rightlim=XMAX; + Flg=0; + Msg="y"; + forall(optionL, + if(isstring(#), // 16.02.10 from + tmp=indexof(#,"="); + tmp1=Toupper(substring(#,tmp,tmp+1)); + if(tmp1=="N", Msg="n"); // 16.02.10 upto + , + if(Flg==0, + leftlim=#; + Flg=Flg+1; + , + rightlim=#; + ); + ); + ); + Pmt=MeetCurve(crv,leftlim,0); + pstr=apply(allpoints(),textformat(#,5)); // 15.04.07 + if(!contains(pstr,pn), + createpoint(pn,Pcrd(Pmt)); + , + tmp1=parse(pn+".x"); + if(tmp1< leftlim % tmp1>rightlim, + if(tmp1< leftlim,tmp= leftlim, tmp=rightlim); + Pmt=MeetCurve(crv,textformat(tmp,5),pn+".y"); + , + Pmt=MeetCurve(crv,pn+".x",pn+".y"); + ); + ptstr=pn+".xy="+textformat(Pcrd(Pmt),5)+";"; + parse(ptstr); + ); + if(Msg=="y", + println("Put "+pn+" on Curve "+text(crv)); + ); +); + +CrossPoint(name,Crv1,Crv2,range):=( + regional(Mx1,Mx2,Mx3,tmp,Crs1,Crs2,Crs3,Crs4,df1,df2); + Mx1=range_1; Mx2=range_2; + repeat(15, + Mx3=(Mx1+Mx2)/2; + Crs1=MeetCurve(Crv1,Mx1,0); + Crs2=MeetCurve(Crv2,Mx1,0); + Crs3=MeetCurve(Crv1,Mx3,0); + Crs4=MeetCurve(Crv2,Mx3,0); + df1=Crs1_2-Crs2_2; + df2=Crs3_2-Crs4_2; + if((df1>0 & df2>0) % (df1<0 & df2<0), + Mx1=Mx3; + , + Mx2=Mx3; + ); + ); + Putpoint(name,Crs1); +); + +Setscaling(sc):=( +//help:Setscaling(3); + SCALEX=1; + SCALEY=sc; + Com0th("Setscaling("+sc+")"); + Setwindow("Msg=no"); +); + +Tabledatalight(nm,xLst,yLst,rmvL):=Tabledatalight(nm,xLst,yLst,rmvL,[]); +Tabledatalight(nm,xLst,yLst,rmvL,options):=( +//help:Tabledatalight("",xLst,yLst,rmvL,[2]); + regional(name,upleft,ul,flg,tick,n,m,xsize,ysize,rlist,clist,Tb, + tmp,tmp1,tmp2,tmp3,Eps); +// name="tb"+nm; + name="tb"; + println("Tabledatalight "+name+" generated"); + tmp=sum(yLst); + upleft=[0,tmp]; + tick=1; + tmp=Divoptions(options); + flg=0; + forall(tmp_6, + if(flg==0, + tick=#; + flg=flg+1; + , + upleft=tmp_6_1; + ); + ); + ul=upleft/10; + m=length(xLst); + n=length(yLst); + xsize=sum(xLst); + ysize=sum(yLst); + clist=[ul]; + rlist=[ul]; + forall(1..m, + tmp1=clist_(#)_1+xLst_#/10; + clist=append(clist,[tmp1,clist_1_2]); + ); + forall(1..n, + tmp1=rlist_(#)_2-yLst_#/10; + rlist=append(rlist,[0,tmp1]); + ); + Tb=[clist,rlist]; + tmp=name+"="+Tb; + parse(tmp); + forall(0..m, + tmp1="c"+text(#)+"r0"; + tmp2="c"+text(#)+"r"+text(n); + Tlistplot("c"+text(#)+"r0r"+text(n),[tmp1,tmp2],options); + if(mod(#,tick)==0 % #==m, + tmp=clist_(#+1); + drawtext(clist_(#+1)-[0.04,-0.1],"c"+text(#)); + ); + ); + forall(0..n, + tmp1="c0r"+text(#); + tmp2="c"+text(m)+"r"+text(#); + Tlistplot("r"+text(#)+"c0c"+text(m),[tmp1,tmp2],options); + if(mod(#,tick)==0 % #==n, + tmp=rlist_(#+1); + drawtext(rlist_(#+1)-[0.4,0.1],"r"+text(#)); + ); + ); + Tsegrmv(rmvL,options); + Addax(0); + Eps=10^(-3); + tmp1=clist_(length(clist)); + tmp2=rlist_1; + tmp3=rlist_(length(rlist)); + Setwindow([0-Eps,tmp1_1+Eps],[tmp3_2-Eps,tmp2_2+Eps]); + Tb; +); + +Tabledata(nm,n,m,xsize,ysize,rmvL):= + Tabledata(nm,n,m,xsize,ysize,rmvL,[]); +Tabledata(nm,n,m,xsize,ysize,rmvL,options):=( + regional(Tb,name,tmp,xLst,yLst); + name="tb"+nm; + xLst=apply(1..n,xsize/n); + yLst=apply(1..m,ysize/m); + Tabledata(nm,xLst,yLst,rmvL,options) +); +Tabledata(nm,xLst,yLst,rmvL):=Tabledata(nm,xLst,yLst,rmvL,[]); +Tabledata(nm,xLst,yLst,rmvL,options):=( +//help:Tabledata("",xLst,yLst,rmvL,[2]); + regional(name,upleft,ul,flg,tick,n,m,xsize,ysize,rlist,clist,Tb, + tmp,tmp1,tmp2,tmp3,Eps); +// name="tb"+nm; + name="tb"; + println("Tabledata "+name+" generated"); + tmp=sum(yLst); + upleft=[0,tmp]; + tick=1; + tmp=Divoptions(options); + flg=0; + forall(tmp_6, + if(flg==0, + tick=#; + flg=flg+1; + , + upleft=tmp_6_1; + ); + ); + ul=upleft/10; + m=length(xLst); + n=length(yLst); + xsize=sum(xLst); + ysize=sum(yLst); + clist=[ul]; + rlist=[ul]; + forall(1..m, + tmp1=clist_(#)_1+xLst_#/10; + clist=append(clist,[tmp1,clist_1_2]); + ); + forall(1..n, + tmp1=rlist_(#)_2-yLst_#/10; + rlist=append(rlist,[0,tmp1]); + ); + Tb=[clist,rlist]; + tmp=name+"="+Tb; + parse(tmp); + forall(0..m, + tmp="C"+text(#); + tmp1="c"+text(#)+"r0"; + if(#==0, + Putpoint(tmp,Tgrid(tmp1)); + , + Putpoint(tmp,Tgrid(tmp1),[parse(tmp+".x"),C0.y]); + clist_(#+1)=parse(tmp+".xy"); + ); + inspect(parse(tmp),"ptsize",3); + inspect(parse(tmp),"labeled",false); + if(mod(#,tick)==0 % #==m, + tmp=clist_(#+1); + drawtext(clist_(#+1)-[0.04,-0.1],"c"+text(#)); + ); + ); + forall(0..n, + tmp="R"+text(#); + tmp1="c0r"+text(#); + if(#==0, + Putpoint(tmp,Tgrid(tmp1)); + , + Putpoint(tmp,Tgrid(tmp1),[R0.x,parse(tmp+".y")]); + rlist_(#+1)=parse(tmp+".xy"); + ); + Putpoint(tmp,Tgrid(tmp1),[R0.x,parse(tmp+".y")]); + inspect(parse(tmp),"ptsize",3); + inspect(parse(tmp),"labeled",false); + if(mod(#,tick)==0 % #==n, + tmp=rlist_(#+1); + drawtext(rlist_(#+1)-[0.4,0.1],"r"+text(#)); + ); + ); + Tb=[clist,rlist]; + tmp=name+"="+Tb; + parse(tmp); + forall(0..m, + tmp1="c"+text(#)+"r0"; + tmp2="c"+text(#)+"r"+text(n); + Tlistplot("c"+text(#)+"r0r"+text(n),[tmp1,tmp2],options); + if(#<m, + tmp1=parse("C"+text(#)); + tmp2=parse("C"+text(#+1)); + tmp=(tmp1.xy+tmp2.xy)/2; + drawtext(tmp+[-0.2,0.5],text((tmp2.x-tmp1.x)*10)); + ); + ); + forall(0..n, + tmp1="c0r"+text(#); + tmp2="c"+text(m)+"r"+text(#); + Tlistplot("r"+text(#)+"c0c"+text(m),[tmp1,tmp2],options); + if(#<n, + tmp1=parse("R"+text(#)); + tmp2=parse("R"+text(#+1)); + tmp=(tmp1.xy+tmp2.xy)/2; + drawtext(tmp-[1.2,0.1],text(abs(tmp1.y-tmp2.y)*10)); + ); + ); + Tsegrmv(rmvL,options); + Addax(0); + Eps=10^(-3); + tmp1=clist_(length(clist)); + tmp2=rlist_1; + tmp3=rlist_(length(rlist)); // 15.06.11 + Setwindow([0-Eps,tmp1_1+Eps],[tmp3_2-Eps,tmp2_2+Eps]); + Tb; +); + +Tseginfo(seg):=( + regional(cr,tp,tpc,n1,n2,n3,tmp,tmp1,tmp2); + if(substring(seg,0,2)=="sg", + cr=substring(seg,2,length(seg)); + , + cr=seg; + ); + tp=substring(cr,0,1); + if(tp=="c", + tpc="r"; + , + tpc="c"; + ); + tmp1=indexof(cr,tpc); + tmp=substring(cr,tmp1,length(cr)); + tmp2=tmp1+indexof(tmp,tpc); + n1=substring(cr,1,tmp1-1); + n2=substring(cr,tmp1,tmp2-1); + n3=substring(cr,tmp2,length(cr)); + [tp+n1,tpc,parse(n2),parse(n3)]; +); + +Tsegrmv(rmvL):=Tsegrmv(rmvL,[]); +Tsegrmv(rmvL,options):=( + regional(cr,gcL,flg,gc,hd,tail,tpc,m1,m2,n1,n2,tmp,tmp1,tmp2); + forall(rmvL,cr, + tmp1=Tseginfo(cr); + hd=tmp1_1; + tpc=tmp1_2; + m1=tmp1_3; + m2=tmp1_4; + gcL=select(GCLIST,Tseginfo(#_1)_1==tmp1_1); + flg=0; + forall(gcL, + if(flg==0, + tmp=Tseginfo(#_1); + n1=tmp_3; + n2=tmp_4; + if(m1>=n1 & m2<=n2, + gc=#; + flg=1; + ); + ); + ); + if(flg==1, + Changestyle([gc_1],["nodisp"]); + tail=""; + if(indexof(hd,"r")>0, + tail=hd; hd=""; + ); + if(n1<m1, + tmp1=tpc+text(n1); + tmp2=tpc+text(m1); + tmp=hd+tail+tmp1+tmp2; + Tlistplot(tmp,[hd+tmp1+tail,hd+tmp2+tail],options); + ); + if(m2<n2, + tmp1=tpc+text(m2); + tmp2=tpc+text(n2); + tmp=hd+tail+tmp1+tmp2; + Tlistplot(tmp,[hd+tmp1+tail,hd+tmp2+tail],options); + ); + ); + ); +); + +Tgrid(ptstr):=( +//help:Tgrid("c2r5"); + regional(tmp,tmp1,tmp2); + tmp=parse(ptstr); + if(islist(tmp), + tmp; + , + tmp=indexof(ptstr,"r"); + tmp1=substring(ptstr,1,tmp-1); + tmp1=parse(tmp1); + tmp2=substring(ptstr,tmp,length(ptstr)); + tmp2=parse(tmp2); + [tb_1_(tmp1+1)_1,tb_2_(tmp2+1)_2]; + ); +); + +Tlistplot(ptL):=Tlistplot(ptL,[]); +Tlistplot(Ag1,Ag2):=( + regional(nm,ptL,options); + if(isstring(Ag1), + nm=Ag1; + ptL=Ag2; + options=[]; + , + ptL=Ag1; + options=Ag2; + nm=ptL_1+ptL_2; + ); + Tlistplot(nm,ptL,options); +); +Tlistplot(nm,ptL,options):=( +//help:Tlistplot(["c0r0","c0r4"]); +//help:Tlistplot("1",["c0r0","c0r4"]); + regional(tmp); + tmp=apply(ptL,Tgrid(#)); // 15.06.03 + Listplot(nm,tmp,append(options,"Msg=no")); +); + +ChangeTablestyle(nameL,style):=( +////help:ChangeTablestyle(["r0c0c3"],["da"]); + regional(nmL,tmp,tmp1,tmp2); + if(islist(nameL),nmL=nameL,nmL=[nameL]); + nmL=apply(nmL,"sg"+#); + nmL=select(nmL,islist(parse(#))); + Changestyle(nmL,style); +); + +Findcell(pos1,pos2):=Findcell("",pos1,pos2); +Findcell(Tbdata,pos1,pos2):=( +//help:Findcell("c0r0","c2r1"); + regional(tmp1,tmp2,posnw,posse,ctr,dx,dy); + if(isstring(pos1), + posnw=Tgrid(pos1); // 15.05.20 + posse=Tgrid(pos2); + //posnw=parse(pos1); + //posse=parse(pos2); + , + if(islist(pos1), + posnw=pos1; + posse=pos2; + , + tmp1="c"+text(pos1-1)+"r"+text(pos2-1); + tmp2="c"+text(pos1)+"r"+text(pos2); + posnw=Tgrid(tmp1); + posse=Tgrid(tmp2); +// posnw=parse(tmp1); +// posse=parse(tmp2); + ); + ); + ctr=(posnw+posse)/2; + dx=abs(posse_1-ctr_1); + dy=abs(posnw_2-ctr_2); + [ctr,dx,dy]; +); + +Putcell(pos1,pos2,dir,lttr):=Putcell("",pos1,pos2,dir,lttr); +Putcell(Tbdata,pos1,pos2,dir,lttr):=( +//help:Putcell("c0r0","c2r1","lt","abc"); +//help:Putcell(2,3,"c","xyz"); + regional(tmp,tmp1,tmp2,posnw,posse, + posdir,posstr,ctr,dx,dy); + tmp=Findcell(Tbdata,pos1,pos2); + ctr=tmp_1; dx=tmp_2; dy=tmp_3; + posdir=ctr; + posstr=dir; + if(indexof(dir,"b")>0, + posdir_2=posdir_2-dy; + posstr=replace(posstr,"b","n"); + ); + if(indexof(dir,"t")>0, + posdir_2=posdir_2+dy; + posstr=replace(posstr,"t","s"); + ); + if(indexof(dir,"l")>0, + posdir_1=posdir_1-dx; + posstr=replace(posstr,"l","e"); + ); + if(indexof(dir,"r")>0, + posdir_1=posdir_1+dx; + posstr=replace(posstr,"r","w"); + ); + Letter(posdir,posstr,text(lttr)); +); + +Putcellexpr(pos1,pos2,dir,ex):=Putcellexpr("",pos1,pos2,dir,ex); +Putcellexpr(Tbdata,pos1,pos2,dir,ex):=( +//help:Putcellexpr("c0r0","c2r1","lt","abc"); +//help:Putcellexpr(2,3,"c","\sin x"); + Putcell(Tbdata,pos1,pos2,dir,"$"+text(ex)+"$"); +); + +Putrow(nrow,dir,lttrL):=Putrow("",nrow,dir,lttrL); +Putrow(Tbdata,nrow,dir,lttrL):=( +//help:Putrow(1,"c",["x","y","z"]); + regional(tmp,tmp1,mcol); + mcol=length(lttrL); + forall(1..mcol, + Putcell(Tbdata,#,nrow,dir,lttrL_#); + ); +); + +Putrowexpr(nrow,dir,exL):=Putrowexpr("",nrow,dir,exL); +Putrowexpr(Tbdata,nrow,dir,exL):=( +//help:Putrowexpr(2,"r",["x","y","z"]); + regional(lttrL); + lttrL=apply(exL,"$"+#+"$"); + Putrow(Tbdata,nrow,dir,lttrL); +); + +PutcoL(mcol,dir,lttrL):=PutcoL("",mcol,dir,lttrL); +PutcoL(Tbdata,mcol,dir,lttrL):=( +//help:PutcoL(1,"c",["x","y","z"]); + regional(tmp,tmp1,nrow); + nrow=length(lttrL); + forall(1..nrow, + Putcell(Tbdata,mcol,#,dir,lttrL_#); + ); +); +PutcoLexpr(mcol,dir,exL):=PutcoLexpr("",mcol,dir,exL); +PutcoLexpr(Tbdata,mcol,dir,exL):=( +//help:PutcoLexpr(2,"r",["x","y","z"]); + regional(lttrL); + lttrL=apply(exL,"$"+#+"$"); + PutcoL(Tbdata,mcol,dir,lttrL); +); + +Setwindow():=Setwindow("Msg=yes"); +Setwindow(str):=( + regional(tmp,tmp1,tmp2,msg); + msg="y"; + tmp=indexof(str,"="); // 16.02.10 + tmp1=Toupper(substring(str,tmp,tmp+1)); + if(tmp1=="N",msg="n"); + if((ispoint(SW) & ispoint(NE)), + tmp1=Lcrd(SW); + tmp2=Lcrd(NE); + XMIN=tmp1_1; XMAX=tmp2_1; + YMIN=tmp1_2; YMAX=tmp2_2; + , +// XMIN=-5; XMAX=5; +// YMIN=Lcrdy(-5); YMAX=Lcrdy(5); + createpoint("SW",Pcrd([XMIN,YMIN])); + createpoint("NE", Pcrd([XMAX,YMAX])); + ); + if(msg=="y", + println("Setwindow(["+XMIN+","+XMAX+"],["+YMIN+","+YMAX+"])"); + ); + layer(KETPICLAYER); + autoclearlayer(KETPICLAYER,true); + drawpoly([Pcrd([XMIN,YMIN]), Pcrd([XMAX,YMIN]), + Pcrd([XMAX,YMAX]),Pcrd([XMIN,YMAX])],color->[1,1,1]); +); +Setwindow(xrange,yrange):=( +//help:Setwindow([2,3],[-1,1]); + XMIN=xrange_1; + XMAX=xrange_2; + YMIN=yrange_1; + YMAX=yrange_2; +// Setwindow(); +); + +Sciform(list):=( + regional(plotlist,comp,pos,out,out2,nn,strL,flg, + tmp,tmp1,tmp2,tmp3,Nj); + plotlist=Flatten([list]); + out=replace(plotlist_1,".xy",""); + out=replace(out,".x","(1)"); + out=replace(out,".y","(2)"); + if(length(plotlist)==1, + comp=[]; + forall(1..length(out), + comp=append(comp,substring(out,#-1,#)); + ); + out=""; + pos=0; + forall(comp, + if(#!="'", + out=out+#; + , + if(pos==0, + tmp=indexof(out,"Assign("); + if(substring(out,length(out)-7,length(out))=="Assign(", + out=out+"'"; + pos=1; + , + out=out+"Assign('"; + pos=2; + ); + , + if(pos==2, + out=out+"')"; + , + out=out+"'"; + ); + pos=0; + ); + ); + ); + , + forall(2..length(plotlist), + comp=plotlist_#; + if(isstring(comp), + pos=indexof(comp,"Assign("); + if(pos>0, + comp=substring(comp,6,length(comp)); + ); + out=out+"Assign("; + comp=replace(comp,".xy",""); + comp=replace(comp,".x","(1)"); + comp=replace(comp,".y","(2)"); + out=out+"'"+comp+"'"; + out=out+"),"; + ); + if(islist(comp), + forall(comp, + out=out+"'"+#+"',"; + ); + ); + ); + if(length(plotlist)>1, + out=substring(out,0,length(out)-1); + out=out+");"; + ); + ); + pos=[]; + forall(1..length(out), + tmp=indexof(substring(out,#-1,length(out)),"Assign"); + if(tmp>0, + tmp1=#-1+tmp; + if(length(pos)==0, + pos=[tmp1]; + , + if(pos_(length(pos))<tmp1, + pos=append(pos,tmp1); + ); + ); + ); + ); + if(length(pos)>0, + strL=[]; + Nj=0; + forall(pos, + tmp=substring(out,Nj,#-1); + strL=append(strL,tmp); + Nj=#-1; + ); + strL=append(strL,substring(out,Nj,length(out))); + out=""; + forall(strL, + if(indexof(#,"Assign")==0, + out=out+#; + , + tmp=indexof(#,"('"); + tmp1=indexof(#,"')"); + tmp2=substring(#,tmp+1,tmp1-2); + tmp3=substring(#,tmp1-2,length(#)); + if(indexof(tmp2,"=")==0, + out=out+#; + , + tmp=substring(tmp2,0,indexof(tmp2,"=")); + out=out+"'"+tmp+"'+"+"Assign('"; + tmp=substring(tmp2,indexof(tmp2,"="),length(tmp2)); + out=out+tmp+tmp3; + ); + ); + ); + ); + out2=""; // patched 16.01.21 from + nn=length(out); + flg=0; + forall(1..nn, + if(flg==0, + tmp=indexof(out,"='+Assign('"); + if(tmp==0, + out2=out2+out; + flg=1; + , + out2=out2+substring(out,0,tmp); + out=substring(out,tmp+10,length(out)); + tmp=indexof(out,"'"); // 16.04.19 from + tmp1=substring(out,0,tmp-1); + tmp2="1234567890"; + tmp=apply(1..length(tmp1), + indexof(tmp2,substring(tmp1,#-1,#))); + tmp=min(tmp); + if(tmp==0, // 16.04.19 upto + out2=out2+"'+Assign('"; + , + tmp=indexof(out,"'"); + out=substring(out,0,tmp)+substring(out,tmp+1,length(out)); // 16.04.18 upto + ); + ); + ); + ); + out2=replace(out2,"Dist=","D="); + out2=replace(out2,"Dis=","D="); + out2; +); + + +Rform(list):=( + regional(plotlist,comp,pos,out,strL,tmp,tmp1,tmp2,tmp3,Nj); + out=list; + out=replace(out,"[[[","list([["); + out=replace(out,"[","c("); + out=replace(out,"]",")"); + out=replace(out,".xy",""); + out=replace(out,".x","[1]"); + out=replace(out,".y","[2]"); + out; +); + +Defvar(varstr):=( + regional(name,value,tmp,tmp1); + parse(varstr); + tmp=indexof(varstr,"="); + name=substring(varstr,0,tmp-1); + value=substring(varstr,tmp,length(varstr)); + value=parse(value); + tmp1=select(1..length(VLIST),VLIST_#_1==name+"="); + if(length(tmp1)>0, + tmp=tmp1_1; + VLIST_tmp=[name+"=",value]; + , + VLIST=prepend([name+"=",value],VLIST); + ); +); + +Defvar(name,value):=( +//help:Defvar("a",0.3); + regional(tmp,tmp1); + if(islist(value), + tmp1="["; + forall(value, + tmp1=tmp1+format(#,5)+","; + ); + tmp1=substring(tmp1,0,length(tmp1)-1)+"]"; + , + tmp1=format(value,5); + ); + tmp=name+"="+tmp1; // 15.02.06 + parse(tmp); + VLIST=select(VLIST,#_1!=name+"="); // 15.02.08 + VLIST=prepend([name+"=",value],VLIST); +); + +Iftosci(strorg):=( // 16.06.10 + regional(str,ifL,ppL,cpL,kk,sL, + tmp,tmp1,tmp2,tmp3,tmp4); + str=replace(strorg,LFmark,""); + ifL=Indexall(str,"if("); + ppL=Bracket(str,"()"); + cpL=Indexall(str,","); + tmp1=Bracket(str,"[]"); + forall(1..(length(tmp1)/2),kk, + cpL=select(cpL,#<tmp1_(2*kk-1)_1%#_1>tmp1_(2*kk)_1); + ); + forall(1..length(ifL),kk, + tmp=select(ppL,#_1>ifL_kk); + tmp1=tmp_1; + tmp2=select(tmp,#_2==-tmp1_2); + tmp2=tmp2_1; + tmp3=select(cpL,#>tmp1_1 & #<tmp2_1); + ifL_kk=[tmp1_1,tmp2_1,tmp1_2,tmp3]; + ); + forall(1..length(cpL),kk, + tmp=select(1..length(ifL),contains(ifL_#_4,cpL_kk)); + tmp1=tmp_(length(tmp)); + cpL_kk=[cpL_kk,tmp1]; + ); + sL=apply(1..length(str),substring(str,#-1,#)); + forall(1..length(ifL),kk, + tmp1=ifL_kk_1; + tmp2=ifL_kk_2; + tmp=select(cpL,#_2==kk); + tmp3=apply(tmp,#_1); + sL_tmp1=" "; + sL_tmp2=";end;"; + sL_(tmp3_1)=" then,"; + if(length(tmp3)>1, + sL_(tmp3_2)=";else,"; + ); + ); + tmp=sum(sL); +); + +Fortosci(strorg):=( + regional(str,jj,var,tmp,tmp1,tmp2,tmp3,tmp4, + Out,repL,Pflg,Iflg,Cflg); + str=strorg; + repL=[]; + tmp1=Indexall(str,"forall"); + tmp2=Indexall(str,","); + forall(1..length(tmp1),jj, + tmp=select(tmp2,#>tmp1_jj); + var=substring(str,tmp_1,tmp_2-1); + tmp3=substring(str,tmp1_jj-1,tmp_2-1); + tmp=indexof(tmp3,"("); + tmp4=substring(tmp3,tmp,length(tmp3)); + tmp=indexof(tmp4,","); + tmp4=substring(tmp4,0,tmp-1); + tmp4="for "+var+"="+tmp4; + tmp4=replace(tmp4,"..",":"); + repL=concat(repL,[tmp3,tmp4]); + ); + forall(1..length(repL)/2, + str=replace(str,repL_(2*#-1),repL_(2*#)); + ); + tmp=Bracket(str); + tmp=select(tmp,#_2==0); + tmp=tmp_1_1; + tmp1=substring(str,tmp-1,length(str)); + tmp1=replace(tmp1,")",";end"); + str=substring(str,0,tmp-1)+tmp1; + str=replace(str,";;",";"); + str; +); + +Deffun(name,bodylist):=( +//help:Deffun("f(x)",["regional(y)","y=x^2*(x-3)","y"]); // 16.02.18 + regional(funstr,tmp,tmp1,str,Pos); + funstr=name+":=("; + forall(bodylist, + funstr=funstr+#+";"; + ); + funstr=funstr+");"; + parse(funstr); + tmp=bodylist_(length(bodylist)); + str="function "+tmp+"="+name+","; + forall(1..(length(bodylist)-1), + tmp1=bodylist_#; + tmp1=replace(tmp1,LFmark,"");// 16.05.26 + tmp1=replace(tmp1," ","");// 16.05.26 + Pos=indexof(tmp1,"regional")+indexof(tmp1,"local"); + if(Pos==0, + tmp=replace(tmp1,".xy",""); + tmp=replace(tmp,".x","(1)"); + tmp=replace(tmp,".y","(2)"); + if(indexof(tmp,"if(")>0, + tmp=iftosci(tmp); + ); + if(indexof(tmp,"forall(")>0, // 16.05.26from + tmp=Fortosci(tmp); + ); // 16.05.26upto + str=str+tmp+","; + ); + ); + str=str+"endfunction;"; + FUNLIST=append(FUNLIST,str); +); + +Windispg():=( + regional(Nj,Nk,Dt,Vj,tmp,tmp1,tmp2,tmp3,opcindy); + gsave(); + layer(KETPIClayer); + forall(GCLIST,Nj, + if(isstring(Nj_1),Dt=parse(Nj_1),Dt=Nj_1); // 11.17 + if(islist(Dt) & length(Dt)>0, // 12.19,12.22 + tmp=MeasureDepth(Dt); + if(tmp==1,Dt=[Dt]); + opcindy=Nj_3; + if(Nj_2<0,tmp1=0,tmp1=Nj_2); + if(tmp1<10, + forall(Dt,Nk, +// tmp2=apply(Nk,if(ispoint(#),Lcrd(#),#)); +// tmp2=apply(tmp2,Pcrd(#)); + tmp2=Nk; // 14.12.04 + if(length(Nk)>1, + forall(2..length(Nk), + tmp3=textformat(Nk_[#-1,#],5); + tmp3=substring(tmp3,1,length(tmp3)-1); + if(tmp1==1,opcindy=opcindy+",dashpattern->[2,2]"); + tmp="draw("+tmp3+ + ",dashtype->"+text(tmp1)+",linecolor->"+KCOLOR+opcindy+")"; + parse(tmp); + ); + , + if(length(Nk)==1, + tmp="draw("+text(tmp2_1)+opcindy+")"; // 14.12.31 + parse(tmp); + ); + ); + ); + ); + ); + ); +// if(ADDAXES=="1", // 16.10.08from +// draw([XMIN,0],[XMAX,0],color->[0,0.2,0]); +// draw([0,YMIIN],[0,YMAX],color->[0,0.2,0]); +// Letter([[XMAX,0],"e","x",[0,YMAX],"n","y"]); +// Letter([[0,0],"sw","O"]); +// ); // 16.10.08upto + grestore(); + layer(0); +); diff --git a/Master/texmf-dist/doc/support/ketcindy/ketmanual/KeTCindyReferenceJ.pdf b/Master/texmf-dist/doc/support/ketcindy/ketmanual/KeTCindyReferenceJ.pdf Binary files differnew file mode 100644 index 00000000000..0edfbc97a64 --- /dev/null +++ b/Master/texmf-dist/doc/support/ketcindy/ketmanual/KeTCindyReferenceJ.pdf diff --git a/Master/texmf-dist/doc/support/ketcindy/ketmanual/helpbuttonJ.pdf b/Master/texmf-dist/doc/support/ketcindy/ketmanual/helpbuttonJ.pdf Binary files differnew file mode 100644 index 00000000000..a05f7ab6f93 --- /dev/null +++ b/Master/texmf-dist/doc/support/ketcindy/ketmanual/helpbuttonJ.pdf diff --git a/Master/texmf-dist/doc/support/ketcindy/ketmanual/helpbuttonsE.pdf b/Master/texmf-dist/doc/support/ketcindy/ketmanual/helpbuttonsE.pdf Binary files differnew file mode 100644 index 00000000000..c2f6c833612 --- /dev/null +++ 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b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s06animation/s0607hypotrochoid.cdy Binary files differnew file mode 100644 index 00000000000..b49ee406be6 --- /dev/null +++ b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s06animation/s0607hypotrochoid.cdy diff --git a/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/fig/slide0.tex b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/fig/slide0.tex new file mode 100644 index 00000000000..3ff4376514f --- /dev/null +++ b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/fig/slide0.tex @@ -0,0 +1,11 @@ +{\Large\bf +\color[cmyk]{1,1,0,0} + +\begin{layer}{120}{0} +{\Huge \putnotes{60}{20}{メインタイトル}} +\putnotes{60}{50}{åå‰} +\putnotes{60}{60}{所属} +\putnotes{60}{70}{æƒ…å ±} +\end{layer} + +} diff --git a/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/fig/wallpaper.tex b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/fig/wallpaper.tex new file mode 100644 index 00000000000..5c08113b42c --- /dev/null +++ b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/fig/wallpaper.tex @@ -0,0 +1,12 @@ +{\color[cmyk]{0.6,0.2,0.8,0}\huge\rm\normalsize + +\newpage + +\begin{layer}{120}{0} +\lineseg{0}{2}{125}{0} +\lineseg{0}{88}{125}{0} +\putnotese{0}{90}{\ketcindy} +\putnotesw{115}{90}{Mar. 31 2018} +\end{layer} + +} diff --git a/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/howtouseslideE.txt b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/howtouseslideE.txt new file mode 100644 index 00000000000..b7fc171bbc5 --- /dev/null +++ b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/howtouseslideE.txt @@ -0,0 +1,79 @@ +Presentation with ketslide 2018.03.30
+
+0. Flow of making slides.
+
+ 1) Copy ketsample/s07slideã®s0701basic.cdy to your work directory and rename it.
+ Ex) s0701basic.cdy , s0701basic.txt
+ Rem) Rename both files.
+ Here, let files sample.cdy and sample.txt.
+ 2) Double-click sample.cdy, edit Settitle.
+ 3) Press Gear mark on the top.
+ 4) Press button "Title" on the screen.
+ 5) Press button "Slide".
+
+1. Editing the .txt file.
+
+ 1) Put // at the last of every lines.
+ Rm) Use |||| for //.
+ http::||||.... //
+ 2) Use :: for separators of each command.
+ 3) Commands
+ title::titleslidename(::wallpaper)//
+ Rm) Put the first line.
+ main::mainttitlename//
+ new::pagetitlename//
+ enumerate//
+ =\begin{enumerate}
+ itemize//
+ =\begin{itemize}
+ layer::{xsize}{ysize}//
+ =\begin{layer}{xsize}{ysize}
+ item::sentence//
+ =\item sentence
+ putnote::dir{xpos}{ypos}::filename(,scale)//
+ =putnotedir{xpos}{ypos}{\input{fig/filename}}
+ end//
+ =\end{itemize,enumerate,layer}
+ Rm) Any other TeX command is available.
+ 4) Use ...// for inserting a blank line.
+ 5) To display a page step by step
+ Put just after new,
+ %repeat=number of steps//
+ Put at the head of each line as
+ %[2,-]::sentence
+ display at all steps from 2
+ %[-,2]::sentence
+ display at all steps until 2
+ %[1..3,5]::sentence
+ display at steps of 1,2,3 and 5
+ Use %thin to display with thin letters.
+ %thin::[2,-]::sentence
+ Rm) the dencity can be changed with Setslidebody.
+ 6) To display all figures in the sub folder in folder "fig"
+ %repeat=//
+ %para=subfig:{0}:s{60}{10}:input(:scale)//
+
+2. Setting commands described in the cdy file.
+ Setslidemain([letterc,boxc,boxd,framec,xpos,size]);
+ Setslidepage([letterc,boxc,boxd,framec,shadowc,shadowd,xpos,size]);
+ Setslidebody(bodycolor,bodystyle,density);
+ Setslidehyper("dvipdfmx",["cl=true,lc=blue,fc=blue",90,70,1]);
+
+3. Making flip animation
+
+ 1) Define Mf(s) the state at s.
+ 2) Add Setpara as
+ Setpara(foldername,funcitonstr,range,options);
+ options=["m/r", "Div=25"];
+ 3) Press button Flip
+ 4) Describe in the .txt file as 1. 6).
+ 5) Press button Slide.
+
+4. Making animation.
+
+ 1) Add in the .cdy file
+ Addpackage(["[dvipdfmx]{animate}"]);
+ 2) Add in the option of Setpara,
+ "Frate=num of frame in the second, "Scale=scale, "OpA=optin of animation"
+ 3) Define mf(s), Press button Anime.
+ 4) Use \input, not layer.
diff --git a/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/howtouseslideJ.txt b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/howtouseslideJ.txt new file mode 100644 index 00000000000..440fefea4f1 --- /dev/null +++ b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/howtouseslideJ.txt @@ -0,0 +1,132 @@ +ketslideã«ã‚ˆã‚‹ãƒ—レゼンテーション  2018.03.30
+
+ï¼ï¼Žä½œæˆã®æµã‚Œ
+
+ 1)ketsample/s07slideã®ä¸ã®2ã¤ã®ãƒ•ã‚¡ã‚¤ãƒ«ã‚’作æ¥ãƒ‡ã‚£ãƒ¬ã‚¯ãƒˆãƒªã«ã‚³ãƒ”ーã—ã¦å称変更
+    例)s0701basic.cdy , s0701basic.txt
+    注)å称変更ã™ã‚‹ã¨ãã¯ï¼Œcdyã¨txtã‚’åŒåã«ã™ã‚‹ï¼Ž
+   ã“ã“ã§ã¯ï¼Œãƒ•ã‚¡ã‚¤ãƒ«åã‚’sample.cdyã¨sample.txtã¨ã™ã‚‹ï¼Ž
+ 2)sample.cdyをダブルクリックã§ç«‹ã¡ä¸Šã’,1をå‚考ã«Settitleã®ä¸èº«ã‚’ä¿®æ£ã™ã‚‹ï¼Ž
+    注)Settitleã®ã‚ªãƒ—ション(=ã®å³ã¯ãƒ‡ãƒ•ã‚©ãƒ«ãƒˆå€¤ï¼‰
+         ["Title=slide0","Layery=0","Color=blue"]
+ 3)å³ä¸Šã®æ¯è»Šãƒžãƒ¼ã‚¯ã‚’押ã™ï¼Ž
+ 4)画é¢ä¸Šã®Titleボタンを押ã™ï¼Ž
+    タイトルスライドãŒä½œæˆã•ã‚Œï¼Œç”»é¢ãŒè¡¨ç¤ºã•ã‚Œã‚‹ï¼Ž
+    必è¦ãªã‚‰ï¼ŒSettitleã‚’ä¿®æ£ã™ã‚‹ï¼Ž
+ 5)Slideボタンを押ã™ã¨ï¼Œsample.pdfãŒä½œæˆã•ã‚Œã‚‹ï¼Ž
+
+1.txtファイルã®ç·¨é›†
+
+ 1)ã™ã¹ã¦ã®è¡Œã®æœ€å¾Œã¯å¿…ãš // ã‚’ã¤ã‘る.
+    注)urlã®æŒ‡å®šã§//を用ã„ã‚‹ã¨ã,||||ã¨ã™ã‚‹ã¨//ã«å¤‰æ›ã•ã‚Œã‚‹ï¼Ž
+ 2)å„ブãƒãƒƒã‚¯ã®å¼•æ•°ã®åŒºåˆ‡ã‚Šã¯ ::
+ 3)コマンド
+    ・タイトル::èªè¾¼ãƒ•ã‚¡ã‚¤ãƒ«å(::å£ç´™ãƒ•ã‚¡ã‚¤ãƒ«)//
+       タイトルページを作æˆï¼ˆï¼‘行目ã«ãŠã)
+      注)å£ç´™(例ãˆã°wallpaperã¨ã™ã‚‹ï¼‰ã‚’背景ã«å…¥ã‚Œã‚‹ã¨ã
+        ・例ãˆã°wallpaper.texを作æˆã—ã¦figフォルダã«å…¥ã‚Œã‚‹ï¼Ž
+          (figã«ã‚るサンプルwallpaper.texã‚’å‚照)
+        ・sample.txtã§ã®æŒ‡å®šã¯
+           タイトル::slide0::wallpaper//
+        ・å£ç´™ã‚’一時的ã«å¤–ã™ã¨ãã¯
+           タイトル::slide0::%wallpaper//
+      注)preambleã«è¿½åŠ ã™ã‚‹ã¨ã
+         1行目ã®//を外ã™ï¼Ž
+         次ã®è¡Œã‹ã‚‰ï¼Œ::区切りã§æ›¸ãåŠ ãˆï¼Œæœ€å¾Œã«//ã‚’ãŠã.
+      注)タイトル画é¢ãŒä¸è¦ã®å ´åˆã¯ï¼Œ
+         タイトル(ã¾ãŸã¯title)::notitle//
+    ・main::段è½ã‚¿ã‚¤ãƒˆãƒ«å//
+    ・new(::行下ã’)::タイトル((::ä½ç½®)::èªã¿è¾¼ã¿ãƒ•ã‚¡ã‚¤ãƒ«)//
+      mainslide
+      例)new::[10]::最åˆã«::{50}{20}::figure//
+      注)èªã¿è¾¼ã¿ãƒ•ã‚¡ã‚¤ãƒ«ã®ã‚µã‚¤ã‚ºå¤‰æ›´ã™ã‚‹ã¨ã
+         new::[10]::最åˆã«::{50}{20}::figure,0.8//
+        他もåŒæ§˜
+    ・enumerate/
+      enumerate環境ã®å§‹ã¾ã‚Š
+    ・itemize//
+      itemize環境ã®å§‹ã¾ã‚Š
+    ・layer(::範囲)//
+      layer環境ã®å§‹ã¾ã‚Š
+    ・item::文//
+      itemを追åŠ
+    ・putnote::æ–¹å‘ã¨ä½ç½®::èªã¿è¾¼ã¿ãƒ•ã‚¡ã‚¤ãƒ«//
+      layer環境ã®ä¸ã«å›³ã‚’入れる
+      例)putonote::se{30}{10}::figure( , å€çŽ‡)//(inputã®ã¨ã)
+          figã®ä¸ã®figure.texを表示
+      例)putonote::se{30}{10}::include[width=5cm]::figure.pdf//
+          (includegraphicsã®ã¨ã)
+      注)図ã¯ã™ã¹ã¦figã«å…¥ã‚Œã‚‹ï¼Ž
+    ・end//
+      enumerate,itemize,layer環境ã®çµ‚ã‚ã‚Š
+    ・上記以外//
+      ãã®ã¾ã¾TeXã«æ›¸ã出ã™ï¼Ž
+    ・コマンドをコメントアウトã™ã‚‹ã¨ãã¯ï¼Œ%%ã¨ã™ã‚‹ï¼Ž
+
+ 4)空白行を入れãŸã„ã¨ãã¯ï¼Œ...// ã¨ã™ã‚‹ï¼Ž
+
+ 5)newã®å¾Œï¼Œãƒšãƒ¼ã‚¸ã‚’段階的ã«è¡¨ç¤ºã™ã‚‹ã¨ã,
+   ・newã®æ¬¡ã®è¡Œã«
+     %repeat=(newã‚’å«ã‚€ã‚¹ãƒ©ã‚¤ãƒ‰ã®æžšæ•°ï¼‰,para//
+   ・表示ã—ãŸã„ページã¯
+      %[2,-]::本文//
+    ã®ã‚ˆã†ã«æ›¸ã.
+     注)[2,- ]ã¯2ページ以é™å…¨éƒ¨
+       [-, 2]ã¯2ページã¾ã§è¡¨ç¤º
+       [1..3,5 ]ã¯1ページã‹ã‚‰3ページã¨5ページ
+   ・repeat=...ã®å¾Œã«ã€Œ,paraã€ã‚’è¿½åŠ ã™ã‚‹ã¨ãƒªãƒ³ã‚¯ã‚’作æˆ
+   ・指定以外ã®ãƒšãƒ¼ã‚¸ã§è–„æ–‡å—ã«ã—ãŸã„ã¨ãã¯ã€€%thin[2]::本文
+     注)薄文å—ã®æ¿ƒã•ã®ãƒ‡ãƒ•ã‚©ãƒ«ãƒˆã¯0.1ã ãŒï¼ŒSetslidebodyã§å¤‰æ›´å¯èƒ½
+     注)txtファイルã«ä»¥ä¸‹ã‚’記述ã™ã‚Œã°ï¼Œä»¥é™ã®æ¿ƒã•ãŒå¤‰ã‚る.
+          \setthin{濃ã•}//
+
+ 6)figã®ä¸ã«ã‚るサブフォルダ(例ãˆã°subfig)ã®å›³ãƒ•ã‚¡ã‚¤ãƒ«ã™ã¹ã¦ã‚’é †ã«è¡¨ç¤ºã™ã‚‹ã¨ã
+   ・newã®æ¬¡ã®è¡Œã«
+     %repeat=//
+     %para=subfig:{0}:s{60}{10}:input(:å€çŽ‡)//
+       ï¼ï¼ž layer{120}{0}, \putnotes{60}{10}{\input...}
+    注)%repeat=,para=...ã¨ç¶šã‘ã¦æ›¸ã„ã¦ã‚‚よã„.
+    注)一時的ã«ç„¡åŠ¹ã«ã™ã‚‹ã¨ãã¯ï¼Œ%%ã¨ã™ã‚‹ï¼Ž
+
+2.スライドã®è¨å®š
+
+ 1)cdyã®figureã«è¨˜è¿°ã™ã‚‹ï¼Ž
+ 2)コマンド
+   ・Setslidemain([letterc,boxc,boxd,framec,xpos,size]);
+     メイン(段è½åŒºåˆ‡ã‚Šï¼‰ã®è¨å®š
+     注)一部をデフォルト値ã¨ã™ã‚‹å ´åˆã¯ [,,]ãªã©ã¨ã™ã‚‹ï¼Žä»¥ä¸‹åŒæ§˜
+   ・Setslidepage([letterc,boxc,boxd,framec,shadowc,shadowd,xpos,size]);
+     ページã®è¨å®š
+   ・Setslidebody(bodycolor,bodystyle,density);
+     全体ã®æ–‡å—色ã¨è–„æ–‡å—ã®æ¿ƒã•(0-1)ã®è¨å®š
+     bodystyleã®ãƒ‡ãƒ•ã‚©ãƒ«ãƒˆã¯ã€€"\Large\bf\boldmath"
+   ・Setslidehyper("dvipdfmx",["cl=true,lc=blue,fc=blue",90,70,1]);
+     hyperrefを利用ã™ã‚‹ï¼Œ
+     注)Setslidehyper();ã¨ã™ã‚‹ã¨ï¼Œhyperref.styã‚’èªã¿è¾¼ã¿ï¼Œ
+      ã‹ã¤ï¼Œä¸Šã®ãƒ‡ãƒ•ã‚©ãƒ«ãƒˆå€¤ãŒä¸Žãˆã‚‰ã‚Œã‚‹ï¼Ž
+     注)数å—ã¯ï¼Œãƒšãƒ¼ã‚¸ç§»å‹•ãƒœã‚¿ãƒ³åˆ—ã«ã¤ã„ã¦ï¼Œå³ç«¯ã®æ°´å¹³ä½ç½®ï¼Œåž‚直サイズ,å€çŽ‡
+
+3.パラパラ動画ã®ä½œæˆ
+
+  (1)mf(s)ã«ãƒ‘ラメータ値sã®ã¨ãã®å›³ã‚’記述ã™ã‚‹ï¼Ž
+  (2)パラパラã®è¨å®š
+    Setpara(foldername,funcitonstr,range,options);
+       options=["m/r", "Div=25"];
+    注)rangeã®è¨˜è¿°
+     i) "s=[0,1]" 区間をDivã§åˆ†å‰²
+     ii) [0.2, 0.6] リストã®å„値をsã«ä»£å…¥
+  (3)ParaFボタンを押ã™ã¨ï¼Œfoldernameã®ä¸ã«ãƒ‘ラパラã®å›³ãŒç”Ÿæˆã•ã‚Œã‚‹ï¼Ž
+  (4)txtファイルã«ï¼Œï¼‘ã®ï¼–)ã®ã‚ˆã†ã«è¨˜è¿°ã™ã‚‹ï¼Ž
+  (5)Slideボタンを押ã™ï¼Ž
+
+4.animationã®ä½œæˆ
+
+   注)PathAdã«AdobeReaderã®ãƒ‡ãƒ•ã‚©ãƒ«ãƒˆã®ãƒ‘スãŒè¨å®šã•ã‚Œã¦ã„る.
+      println(PathAd)ã«ã‚ˆã‚Šï¼Œãƒ‘スãŒç¢ºèªã§ãる.
+     変更ã™ã‚‹ã¨ãã¯ï¼Œchangesetting.txtã«ãƒ‘スを記述ã™ã‚‹ï¼Ž
+        PathAd="....";
+  (1)Addpackage(["[dvipdfmx]{animate}"]);ã‚’è¿½åŠ ã™ã‚‹ï¼Ž
+  (2)Setparaã®ã‚ªãƒ—ション
+      "Frate="(1秒間ã®ãƒ•ãƒ¬ãƒ¼ãƒ æ•°), "Scale="(スケールå€çŽ‡), "OpA=[loop]"
+  (3)mf(s)を定義ã—ã¦ï¼ŒAnimeボタンを押ã™ï¼Ž
+  (4)èªã¿è¾¼ã¿å ´æ‰€ã«ï¼Œ\inputを使ã£ã¦å…¥ã‚Œã‚‹ï¼Ž(layerã¯ä½¿ãˆãªã„)
diff --git a/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0701basic.cdy b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0701basic.cdy Binary files differnew file mode 100644 index 00000000000..886b5bc01ce --- /dev/null +++ b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0701basic.cdy diff --git a/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0701basic.txt b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0701basic.txt new file mode 100644 index 00000000000..9650b53ce76 --- /dev/null +++ b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0701basic.txt @@ -0,0 +1,21 @@ +タイトル::slide0::%wallpaper//
+
+%%%%%%%%%%%%%%%%//
+main::メインスライド1//
+
+%%%%%%%%%%%%%%%%//
+new::itemize環境ã®ä½¿ã„æ–¹//
+
+itemize//
+item::内容//
+item::çµè«–//
+end//
+
+%%%%%%%%%%%%%%%%//
+new::enumerate環境ã®ä½¿ã„æ–¹//
+
+enumerate::[(1)]//
+item::番å·ã‚’変ãˆã‚‹ã«ã¯ï¼Œä¾‹ãˆã° [(1)]//
+item::後ã¯åŒã˜//
+end//
+
diff --git a/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0701basicE.cdy b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0701basicE.cdy Binary files differnew file mode 100644 index 00000000000..0025ed37400 --- /dev/null +++ b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0701basicE.cdy diff --git a/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0701basicE.txt b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0701basicE.txt new file mode 100644 index 00000000000..a6c607e7f83 --- /dev/null +++ b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0701basicE.txt @@ -0,0 +1,21 @@ +title::slide0::%wallpaper//
+
+%%%%%%%%%%%%%%%%//
+main::Main Slide//
+
+%%%%%%%%%%%%%%%%//
+new::How to use itemize//
+
+itemize//
+item::Contents//
+item::Conclusion//
+end//
+
+%%%%%%%%%%%%%%%%//
+new::How to use enumerate//
+
+enumerate::[(1)]//
+item::Change the style of number adding, for example, [(1)]//
+item::Same as usual//
+end//
+
diff --git a/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0702graph.cdy b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0702graph.cdy Binary files differnew file mode 100644 index 00000000000..6ce49ec73b7 --- /dev/null +++ b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0702graph.cdy diff --git a/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0702graphE.cdy b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0702graphE.cdy Binary files differnew file mode 100644 index 00000000000..4b59de6c9ad --- /dev/null +++ b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0702graphE.cdy diff --git a/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0702graphE.txt b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0702graphE.txt new file mode 100644 index 00000000000..295050c5615 --- /dev/null +++ b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0702graphE.txt @@ -0,0 +1,19 @@ +title::slideE::%wallpaper//
+
+%%%%%%%%%%%%%%%%//
+main::Main Slide//
+
+%%%%%%%%%%%%%%%%//
+new::input and layer//
+
+layer::{100}{0}//
+putnote::s{65}{10}::figsin,1.2//
+end//
+
+%%%%%%%%%%%%%%%%//
+new::includegrpahics and layer//
+
+layer::{100}{0}//
+putnote::s{60}{5}
+::include[bb=0.00 0.00 803.00 285.00,width=100mm]::cindyscreen.pdf//
+end//
diff --git a/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0703repeat.cdy b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0703repeat.cdy Binary files differnew file mode 100644 index 00000000000..fa5099527fc --- /dev/null +++ b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0703repeat.cdy diff --git a/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0703repeat.txt b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0703repeat.txt new file mode 100644 index 00000000000..3f29c04c3ef --- /dev/null +++ b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0703repeat.txt @@ -0,0 +1,32 @@ +タイトル::slide0::%wallpaper//
+
+%%%%%%%%%%%%%%%%//
+main::メインスライド1//
+
+%%%%%%%%%%%%%%%%//
+new::itemize環境ã®ä½¿ã„æ–¹//
+%repeat=2//
+
+itemize//
+item::内容//
+%[2,-]::item::çµè«–//
+end//
+
+%%%%%%%%%%%%%%%%//
+new::enumerate環境ã®ä½¿ã„æ–¹//
+%repeat=3//
+
+enumerate::[(1)]//
+%thin[2,-]::item::番å·ã‚’変ãˆã‚‹ã«ã¯ï¼Œä¾‹ãˆã° [(1)]//
+%thin[3,-]::item::後ã¯åŒã˜//
+end//
+
+%%%%%%%%%%%%%%%%//
+new::グラフã¨repeat//
+%repeat=2//
+
+layer::{100}{0}//
+%[1]::putnote::se{10}{15}::figsin,0.8//
+%[2]::putnote::se{30}{40}::figsin,0.8//
+end//
+
diff --git a/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0703repeatE.cdy b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0703repeatE.cdy Binary files differnew file mode 100644 index 00000000000..1da10768bd9 --- /dev/null +++ b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0703repeatE.cdy diff --git a/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0703repeatE.txt b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0703repeatE.txt new file mode 100644 index 00000000000..6ae811a162e --- /dev/null +++ b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0703repeatE.txt @@ -0,0 +1,32 @@ +title::slideE::%wallpaper//
+
+%%%%%%%%%%%%%%%%//
+main::Main Slide//
+
+%%%%%%%%%%%%%%%%//
+new::itemize and repeat//
+%repeat=2//
+
+itemize//
+item::Contents//
+%[2,-]::item::Conclusions//
+end//
+
+%%%%%%%%%%%%%%%%//
+new::enumerate and repeat//
+%repeat=3//
+
+enumerate::[(1)]//
+%thin[2,-]::item::Contents//
+%thin[3,-]::item::Conclusions//
+end//
+
+%%%%%%%%%%%%%%%%//
+new::Graph and repeat//
+%repeat=2//
+
+layer::{100}{0}//
+%[1]::putnote::se{10}{15}::figsin,0.8//
+%[2]::putnote::se{30}{40}::figsin,0.8//
+end//
+
diff --git a/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0704thin.cdy b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0704thin.cdy Binary files differnew file mode 100644 index 00000000000..012e8971df5 --- /dev/null +++ b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0704thin.cdy diff --git a/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0704thin.txt b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0704thin.txt new file mode 100644 index 00000000000..7c97865ebab --- /dev/null +++ b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0704thin.txt @@ -0,0 +1,53 @@ +タイトル::slide0::%wallpaper/
+
+%%%%%%%%%%%%%%%%//
+main::メインスライド1//
+
+%%%%%%%%%%%%%%%%//
+new::ç”»é¢ä¸Šã®ãƒœã‚¿ãƒ³//
+
+itemize//
+item::\Ltab{20mm}{Figure}é™æ¢ç”»ï¼ˆFhead+".tex")をfigã«ä½œæˆ//
+item::\Ltab{20mm}{Title}タイトル(default : slide0)ã‚’figã«ä½œæˆ//
+item::\Ltab{20mm}{ParaF}パラパラ動画フォルダを作æˆ\\//
+\Ltab{25mm}{}Setparaã§å¼•æ•°ã‚’書ã„ã¦ãŠã//
+item::\Ltab{20mm}{Slide}Texparent+".txt"ã‹ã‚‰ã‚¹ãƒ©ã‚¤ãƒ‰ã‚’作æˆ//
+item::\Ltab{20mm}{Sum}Summaryã®PDFを作æˆ//
+end//
+
+%%%%%%%%%%%%%%%%//
+new::enumerate環境ã®ä½¿ã„æ–¹//
+%repeat=3//
+
+%[2,-]::enumerate::[(1)]//
+%[2,-]::item::番å·ã‚’変ãˆã‚‹ã«ã¯ï¼Œä¾‹ãˆã° [(1)]//
+%[3,-]::item::表示ページã¯ãƒªã‚¹ãƒˆã§ä¸Žãˆã‚‹\\//
+%[3,-]::\hspace*{10mm}[1],\ [1,-],\ [1..3],\ [1..3,6]ãªã©//
+%[2,- ]::end//
+
+%%%%%%%%%%%%%%%%//
+new::è–„æ–‡å—ã®ä½¿ã„æ–¹//
+%repeat=4//
+
+itemize//
+%thin[2,-]::item::Setslidebodyã®3番目ã®å¼•æ•°ã§æ¿ƒã•ã‚’変更\\//
+%thin[2,-]::\hspace*{10mm}\verb|Setslidebody(["","",0.2]);|//
+%thin[3,-]::item::デフォルトã¯$0.1$//
+%thin[4]::item::リストã®ãƒšãƒ¼ã‚¸ä»¥å¤–ãŒè–„æ–‡å—ã«ãªã‚‹//
+end//
+
+%%%%%%%%%%%%%%%%//
+new::layerã®ä½¿ã„æ–¹//
+%repeat=5//
+
+\setthin{0}//
+
+itemize//
+%thin[1,-]::item::layerã®å§‹ã¾ã‚Šã¯\verb+layer+{:}{:}\verb+{120}{0}+//
+%thin[2,-]::item::layerã®çµ‚ã‚ã‚Šã¯\verb|end|//
+%thin[3,-]::item::図ã¯\verb+putnote+{:}{:}\verb+se{80}{5}+{:}{:}\verb+grf+//
+%thin[4,-]::item::図ã®ã‚µã‚¤ã‚ºã‚’変ãˆã‚‹ã¨ãã¯\\//
+%thin[4,-]::\hspace*{10mm}{:}{:}\verb+grf,0.8+//
+%thin[5]::item::通常ã®\verb|\putnote|文も使ãˆã‚‹//
+end//
+
diff --git a/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0705para.cdy b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0705para.cdy Binary files differnew file mode 100644 index 00000000000..ffc2f5de4f9 --- /dev/null +++ b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0705para.cdy diff --git a/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0705paraE.cdy b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0705paraE.cdy Binary files differnew file mode 100644 index 00000000000..2b898539f33 --- /dev/null +++ b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0705paraE.cdy diff --git a/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0705paraE.txt b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0705paraE.txt new file mode 100644 index 00000000000..b3ff212af74 --- /dev/null +++ b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0705paraE.txt @@ -0,0 +1,9 @@ +title::slideE::%wallpaperi//
+
+%%%%%%%%%%%%%%%%//
+new::parapara//
+%repeat=,para=sinemove:{0}:s{65}{10}:input:1.2//
+
+%%%%%%%%%%%%%%%%//
+%new::parapara2//
+%%repeat=,para=sinemove2:{0}:s{65}{10}:input:1.2//
diff --git a/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0706animate.cdy b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0706animate.cdy Binary files differnew file mode 100644 index 00000000000..d87de868f3d --- /dev/null +++ b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0706animate.cdy diff --git a/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0706animate.txt b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0706animate.txt new file mode 100644 index 00000000000..3793cad5698 --- /dev/null +++ b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0706animate.txt @@ -0,0 +1,18 @@ +タイトル::slide0::%wallpaper//
+
+%%%%%%%%%%%%%%%%//
+main::メインスライド1//
+
+%%%%%%%%%%%%%%%%//
+new::Animation1//
+
+\begin{center}//
+\input{fig/animsinemove}//
+\end{center}//
+
+%%%%%%%%%%%%%%%%//
+%new::Animation2//
+
+%\begin{center}//
+%\input{fig/animsinemove2}//
+%\end{center}//
diff --git a/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0706animateE.cdy b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0706animateE.cdy Binary files differnew file mode 100644 index 00000000000..5cb1238a727 --- /dev/null +++ b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0706animateE.cdy diff --git a/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0706animateE.txt b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0706animateE.txt new file mode 100644 index 00000000000..c0c985642e6 --- /dev/null +++ b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0706animateE.txt @@ -0,0 +1,18 @@ +Title::slideE::%wallpaper//
+
+%%%%%%%%%%%%%%%%//
+main::Main Slide//
+
+%%%%%%%%%%%%%%%%//
+new::Animation1//
+
+\begin{center}//
+\input{fig/animsinemove}//
+\end{center}//
+
+%%%%%%%%%%%%%%%%//
+%new::Animation2//
+
+%\begin{center}//
+%\input{fig/animsinemove2}//
+%\end{center}//
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--git a/Master/texmf-dist/doc/support/ketcindy/ketsample/samplesJS/js03gamow.cdy b/Master/texmf-dist/doc/support/ketcindy/ketsample/samplesJS/js03gamow.cdy Binary files differnew file mode 100755 index 00000000000..1305329e437 --- /dev/null +++ b/Master/texmf-dist/doc/support/ketcindy/ketsample/samplesJS/js03gamow.cdy diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketjava/KetCindyPlugin.java b/Master/texmf-dist/doc/support/ketcindy/source/ketjava/KetCindyPlugin.java new file mode 100644 index 00000000000..4aa74435807 --- /dev/null +++ b/Master/texmf-dist/doc/support/ketcindy/source/ketjava/KetCindyPlugin.java @@ -0,0 +1,430 @@ +import de.cinderella.api.cs.CindyScript; +import de.cinderella.api.cs.CindyScriptPlugin; +import org.apache.commons.math.linear.MatrixUtils; +import org.apache.commons.math.linear.RealMatrix; + +import java.awt.*; +import java.util.ArrayList; +import java.util.Arrays; +import java.io.*; +import java.util.Date; + +public class KetCindyPlugin extends CindyScriptPlugin { + + @CindyScript("ketjavaversion") + public String ketjavaversion() { + return "Ketjava 20180408"; + } + + public String getName() { + return "KetCindy Plugin"; + } + + public String getAuthor() { + return "The KetCindy Project Team"; + } + + @CindyScript("systemproperty") + public String getUserID(String s) { + return System.getProperty(s); + } + + @CindyScript("square") + public double quadrieren(double x) { + return x * x; + } + + @CindyScript("grayvalue") + public double getGray(Color c) { + return (c.getBlue() + c.getRed() + c.getGreen()) / 3.; + } + + @CindyScript("isincludefull")//180331 + public static boolean isincludefull(String str){ + char[] chars = str.toCharArray(); + for (int i = 0; i < chars.length; i++) { + if (String.valueOf(chars[i]).getBytes().length==2) { + return true; + } + } + return false; + } + + @CindyScript("getdir") + public String getdir() { + return System.getProperty("user.dir"); + } + + @CindyScript("gethome") + public String gethome() { + return System.getProperty("user.home"); + } + + @CindyScript("getname") + // 17.10.08 + public String getname() { + return System.getProperty("user.name"); + } + + @CindyScript("iswindows") + public static boolean iswindows(){ + String os=System.getProperty("os.name").toLowerCase(); + if(os!=null && os.startsWith("windows")){ + return true; + } + else{ + return false; + } + } + + @CindyScript("ismacosx") + public static boolean ismacosx(){ + String os=System.getProperty("os.name").toLowerCase(); + if(os!=null && os.startsWith("mac")){ + return true; + } + else{ + return false; + } + } + @CindyScript("islinux") + public static boolean islinux(){ + String os=System.getProperty("os.name").toLowerCase(); + if(os!=null && os.startsWith("linux")){ + return true; + } + else{ + return false; + } + } + + @CindyScript("iswin") + public static boolean iswin() { + String OS_NAME = System.getProperty("os.name").toLowerCase(); + return OS_NAME.startsWith("windows"); + } + + @CindyScript("kc") + public static String kc(String args){ + return "Improper call"; + } + + @CindyScript("nkfwin") //180408 + public static String nkfwin(String path,String dir,String fn1,String fn2) + throws IOException { + String src="\""+dir+"\\"+fn1+"\""; + String out="\""+dir+"\\"+fn2+"\""; + ProcessBuilder pb = new ProcessBuilder(); + pb.command("cmd","/c","\""+path+"\\nkf32\"","-s","<"+src,">"+out); + Process process = pb.start(); + return out+" generated"; + } + + @CindyScript("kc") + public static String kc(String args,String args2,String args3) throws IOException { + ProcessBuilder pb = new ProcessBuilder(); + File f = new File(args); + int flg=0; + int pos=0; + String kst=""; + BufferedReader br = new BufferedReader(new FileReader(f)); + String str; + while((str = br.readLine()) != null){ + if(str.indexOf("*")>-1|| str.indexOf("?")>-1){ + flg=1; + } + else{ + str=str.toUpperCase(); + str=str.replaceAll("\""," "); /* 16.06.08 */ + if(str.indexOf("RM ")>-1 || str.indexOf("DEL ")>-1){ + //16.07.21from + if(str.indexOf(".DVI")==-1 && str.indexOf(".TXT")==-1){ + flg=2; + } + // 16.07.21upto + } + if(str.indexOf("MV ")>-1 || str.indexOf("MOVE ")>-1){ + flg=3; + } + if(str.indexOf("RD ")>-1 || str.indexOf("RMDIR ")>-1){ + flg=4; + } + // 16.04.09from + if(str.indexOf("SHUTDOWN ")>-1 || str.indexOf("SLEEP ")>-1){ + flg=5; + } + if(str.indexOf("CLEAR ")>-1 || str.indexOf("CLS ")>-1){ + flg=6; + } + if(str.indexOf("FTP ")>-1|| str.indexOf("TELNET ")>-1){ + flg=7; + } + if(str.indexOf("USERMOD ")>-1 || str.indexOf("USERDEL ")>-1){ + flg=8; + } + if(str.indexOf("USERADD ")>-1 || str.indexOf("USERMOD ")>-1){ + flg=9; + } + if(str.indexOf("CHMOD ")>-1){ + if(str.indexOf("CHMOD +")==-1){ + flg=10; + } + } + if(str.indexOf("CRONTAB ")>-1 || str.indexOf("KILL ")>-1){ + flg=11; + } + if(str.indexOf("AT ")>-1){ + pos=str.indexOf("AT "); + if(pos==0){ + flg=12; + } + else{ + kst=str.substring(pos-1,pos); + if(!kst.equals("B")){ + flg=12; + } + } + // 16.04.09upto + } +// if(str.indexOf("PATH ")>-1 || str.indexOf("PAUSE ")>-1 || str.indexOf("ARP ")>-1){ + if(str.indexOf("PAUSE ")>-1 || str.indexOf("ARP ")>-1){ + flg=13; + } + if(str.indexOf("RENAME ")>-1 || str.indexOf("START ")>-1){ + flg=14; + } + // 16.07.21 + if(str.indexOf(".SH")>-1 || str.indexOf(".BAT")>-1){ + if(str.indexOf("MAXIMA.")==-1 && str.indexOf("KC.")==-1){ /* 2016.07.22 */ + flg=15; + } + } + } + if(flg>0){ + br.close(); + return "Improper file "+String.valueOf(flg)+" "+str; + } + } + br.close(); + // 16.06.05from + Long tm=System.currentTimeMillis()-f.lastModified(); + if(tm>10000 || tm<0){ /* 16.06.08 */ + flg=50; + return "Time expired"; + } + if((args.indexOf("kc.")==-1|| args2.indexOf("ketlib")==-1) || args3.indexOf(".t")==-1){ + flg=60; + return "Improper form"; + } + if(flg==0){ + if(iswindows()){ + if((args.indexOf(" ")==-1)&&(args.indexOf("-")==-1) + &&(args.indexOf(" ")==-1)){ //180405 + pb.command("cmd.exe","/c","start",args); + }else{ + pb.command("cmd.exe","/c","","\""+args+"\"");//180331to + } + } + else{ + if(ismacosx()){ + if(args2.indexOf("open")>-1){ /* 2016.06.07from */ + pb.command("open",args); + } + else{ + pb.command("sh",args); + } /* 2016.06.07upto */ + } + else{ + pb.command("sh",args); + } + } + } + Process process = pb.start(); + return "Normal end"; + // 16.06.05upto + } + + @CindyScript("ispaulvisiting") + public static boolean ispaulvisiting() { + return true; + } + + @CindyScript("texv") + public static void texv( String s, String d, String sf, String tf) throws Exception{ + ProcessBuilder pb = new ProcessBuilder(); + String[] cmd = {s,d,sf,tf}; + pb.command(cmd); + Process process = pb.start(); + return ; + } + + @CindyScript("givemeamatrix2") + public static Object givemeamatrix2() { + try { + return "the Matrix: " + theGiveMeAMatrix().toString(); + } catch (Throwable e) { + e.printStackTrace(); + return "no Matrix: " + e.toString(); + } + } + + public static Object theGiveMeAMatrix() { + double[][] matrixData = { {1d,2d,3d}, {2d,5d,3d}}; + RealMatrix m = MatrixUtils.createRealMatrix(matrixData); + return m; + } + + @CindyScript("getdirhead") + public static String getdirhead(){ + if(iswindows()){ + return System.getProperty("user.home")+"\\ketcindy"; + } + else if(ismacosx()){ + return System.getProperty("user.home")+"/ketcindy"; + } + else if(islinux()){ + return System.getProperty("user.home")+"/ketcindy"; + // "/usr/share/ketcindy"; + } + else{ + return "unknown"; + } + } + + @CindyScript("getdirhead") + public static String getdirhead(String dir){ + if(iswindows()){ + return dir+"\\ketcindy"; + } + else if(ismacosx()){ + return dir+"/ketcindy"; + } + else if(islinux()){ + return dir+"/ketcindy"; + } + else{ + return "unknown"; + } + } + + @CindyScript("iskcexists") + public static boolean iskcexists(String dir){ + File file = new File(dir+"/kc.sh"); + if(file.exists()){ + file.setExecutable(true,false); + //16.10.19 + return true; + } + else{ + return false; + } + } + + @CindyScript("pathsep") + // 17.09.06 + public static String pathsep(){ + return File.separator; + } + + @CindyScript("isexists") + // 16.10.02 + public static boolean isexists(String dir,String fname){ + File file = new File(dir+File.separator+fname); + if(file.exists()){ + return true; + } + else{ + return false; + } + } + + @CindyScript("filepath") + // 18.03.29 + public static String isexists(String fname){ + File file = new File(fname); + String path = file.getAbsolutePath(); + return path; + } + + @CindyScript("makedir") + // 17.09.06 + public static String makedir(String dir,String dirname){ + File newfile = new File(dir+File.separator+dirname); + if (newfile.mkdir()){ + return dirname+" created"; + }else{ + return dirname+" already exists"; + } + } + + @CindyScript("fileslength") + // 16.12.09 + public static int fileslength(String dirname){ + File dir=new File(dirname); + File[] files=dir.listFiles(); + String str; + String head; + int ctr=0; + if(dir.exists()){ + for(int i=0;i<files.length;i++){ + str=files[i].getName(); + head=str.substring(0,1); + if(head.equals(".")){ctr=ctr+1;} + } + return files.length-ctr; + } + else{ + return -1; + } + } + + @CindyScript("fileslist") + // 16.12.09 + public static String fileslist(String dirname){ + File dir=new File(dirname); + File[] files=dir.listFiles(); + String str; + String head; + String strall=""; + if(dir.exists()){ + for(int i=0;i<files.length;i++){ + str=files[i].getName(); + head=str.substring(0,1); + if(!head.equals(".")){strall=strall+","+str;} + } + return strall.substring(1); + } + else{ + return ""; + } + } + + @CindyScript("setexec") + // 16.10.19 + public static String setexec(String dir,String fname){ + File file = new File(dir+File.separator+fname); + File path = new File(dir); + if(path.exists()){ + if(file.exists()){ + file.setExecutable(true,false); + return fname+" executable"; + } + else{ +// file.createNewFile(); +// file.setExecutable(true,false); + return fname+" not exists"; + } + } + else{ + return dir+" not exists"; + } + } + + @CindyScript("getdatetime") + // 16.10.21 + public static String getdatetime(){ + Date date=new Date(); + return date.toString(); + } + +} diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/ForRef-Arrowhead-1.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/ForRef-Arrowhead-1.tex new file mode 100644 index 00000000000..a3b0f91db15 --- /dev/null +++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/ForRef-Arrowhead-1.tex @@ -0,0 +1,64 @@ +%%% ForRef-Arrowhead-1.tex 2014-11-10 7:14
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-28}\special{pa 2461 -22}\special{pa 2468 -18}\special{pa 2475 -19}% +\special{pa 2480 -25}\special{pa 2481 -32}\special{pa 2478 -38}\special{sh 1}\special{fp}% +\special{pa 2683 -544}\special{pa 2661 -589}\special{pa 2634 -630}\special{pa 2602 -668}% +\special{pa 2565 -701}\special{pa 2525 -729}\special{pa 2481 -753}\special{pa 2435 -770}% +\special{pa 2387 -782}\special{pa 2338 -787}\special{pa 2288 -786}\special{pa 2239 -779}% +\special{pa 2192 -766}\special{pa 2146 -747}\special{pa 2103 -723}\special{pa 2063 -693}% +\special{pa 2028 -659}\special{pa 1997 -620}\special{pa 1971 -578}\special{pa 1951 -533}% +\special{pa 1936 -486}\special{pa 1928 -437}\special{pa 1925 -388}\special{pa 1929 -338}% +\special{pa 1939 -290}\special{pa 1955 -243}\special{pa 1977 -199}\special{pa 2004 -157}% +\special{pa 2036 -120}\special{pa 2073 -86}\special{pa 2113 -58}\special{pa 2157 -35}% +\special{pa 2203 -17}\special{pa 2251 -6}\special{pa 2301 0}\special{pa 2350 -1}\special{pa 2399 -8}% +\special{pa 2447 -21}\special{pa 2492 -40}\special{pa 2535 -65}\special{pa 2575 -94}% +\special{pa 2610 -129}\special{pa 2641 -167}\special{pa 2667 -209}\special{pa 2687 -255}% +\special{pa 2702 -302}\special{pa 2710 -350}\special{pa 2713 -400}\special{pa 2709 -449}% +\special{pa 2699 -498}\special{pa 2683 -544}% +\special{fp}% +\special{pn 8}% +\special{pn 2}% +\special{pa 2482 -16}\special{pa 2475 -19}\special{pa 2468 -18}\special{pa 2463 -13}% +\special{pa 2462 -6}\special{pa 2465 1}\special{pa 2471 4}\special{pa 2479 3}\special{pa 2484 -2}% +\special{pa 2485 -9}\special{pa 2482 -16}\special{sh 1}\special{fp}% +\special{pa 2783 -471}\special{pa 2770 -518}\special{pa 2751 -564}\special{pa 2727 -607}% +\special{pa 2698 -647}\special{pa 2664 -683}\special{pa 2625 -714}\special{pa 2583 -740}% +\special{pa 2538 -761}\special{pa 2491 -776}\special{pa 2443 -785}\special{pa 2393 -787}% +\special{pa 2344 -784}\special{pa 2295 -774}\special{pa 2249 -759}\special{pa 2204 -737}% +\special{pa 2162 -710}\special{pa 2125 -679}\special{pa 2091 -642}\special{pa 2062 -602}% +\special{pa 2039 -559}\special{pa 2021 -512}\special{pa 2009 -464}\special{pa 2003 -415}% +\special{pa 2004 -366}\special{pa 2010 -317}\special{pa 2023 -269}\special{pa 2041 -223}% +\special{pa 2066 -180}\special{pa 2095 -140}\special{pa 2129 -105}\special{pa 2167 -73}% +\special{pa 2209 -47}\special{pa 2254 -27}\special{pa 2301 -12}\special{pa 2350 -3}% +\special{pa 2399 0}\special{pa 2449 -4}\special{pa 2497 -13}\special{pa 2544 -29}% +\special{pa 2589 -50}\special{pa 2630 -77}\special{pa 2668 -109}\special{pa 2702 -145}% +\special{pa 2730 -185}\special{pa 2754 -229}\special{pa 2772 -275}\special{pa 2784 -323}% +\special{pa 2789 -372}\special{pa 2789 -422}\special{pa 2783 -471}% +\special{fp}% +\special{pn 8}% +\special{pn 2}% +\special{pa 2482 -8}\special{pa 2476 -12}\special{pa 2468 -11}\special{pa 2463 -5}% +\special{pa 2462 2}\special{pa 2465 8}\special{pa 2472 12}\special{pa 2479 11}\special{pa 2484 5}% +\special{pa 2485 -2}\special{pa 2482 -8}\special{sh 1}\special{fp}% +\special{pa 2867 -394}\special{pa 2864 -443}\special{pa 2855 -492}\special{pa 2840 -539}% +\special{pa 2819 -583}\special{pa 2792 -625}\special{pa 2761 -663}\special{pa 2725 -697}% +\special{pa 2685 -726}\special{pa 2641 -750}\special{pa 2595 -768}\special{pa 2547 -780}% +\special{pa 2498 -787}\special{pa 2449 -787}\special{pa 2400 -780}\special{pa 2352 -768}% +\special{pa 2306 -750}\special{pa 2263 -726}\special{pa 2223 -697}\special{pa 2187 -663}% +\special{pa 2155 -625}\special{pa 2129 -583}\special{pa 2108 -539}\special{pa 2092 -492}% +\special{pa 2083 -443}\special{pa 2080 -394}\special{pa 2083 -344}\special{pa 2092 -296}% +\special{pa 2108 -249}\special{pa 2129 -204}\special{pa 2155 -162}\special{pa 2187 -124}% +\special{pa 2223 -90}\special{pa 2263 -61}\special{pa 2306 -37}\special{pa 2352 -19}% +\special{pa 2400 -7}\special{pa 2449 -1}\special{pa 2498 -1}\special{pa 2547 -7}\special{pa 2595 -19}% +\special{pa 2641 -37}\special{pa 2685 -61}\special{pa 2725 -90}\special{pa 2761 -124}% +\special{pa 2792 -162}\special{pa 2819 -204}\special{pa 2840 -249}\special{pa 2855 -296}% +\special{pa 2864 -344}\special{pa 2867 -394}% +\special{fp}% +\special{pn 8}% +\special{pa -594 0}\special{pa 3134 0}% +\special{fp}% +\special{pa 0 220}\special{pa 0 -1020}% +\special{fp}% +\settowidth{\Width}{$x$}\setlength{\Width}{0\Width}% +\settoheight{\Height}{$x$}\settodepth{\Depth}{$x$}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(8.0100,0.0000){\hspace*{\Width}\raisebox{\Height}{$x$}}% +% +% +\settowidth{\Width}{$y$}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{$y$}\settodepth{\Depth}{$y$}\setlength{\Height}{\Depth}% +\put(0.0000,2.6400){\hspace*{\Width}\raisebox{\Height}{$y$}}% +% +% +\settowidth{\Width}{O}\setlength{\Width}{-1\Width}% +\settoheight{\Height}{O}\settodepth{\Depth}{O}\setlength{\Height}{-\Height}% +\put(-0.0500,-0.0500){\hspace*{\Width}\raisebox{\Height}{O}}% +% +% +\end{picture}}%
\ No newline at end of file diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/anglemark.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/anglemark.tex new file mode 100644 index 00000000000..15cf0ed7d60 --- /dev/null +++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/anglemark.tex @@ -0,0 +1,48 @@ +%%% anglemark.tex 2014-11-10 8:47
+%%% anglemark.sce 2014-11-10 8:36
+{\unitlength=1cm%
+\begin{picture}%
+( 6.00000, 5.00000)( -3.00000, -2.00000)%
+\special{pn 8}%
+%
+\settowidth{\Width}{A}\setlength{\Width}{-0.5\Width}%
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+\put(-0.4600,2.1100){\hspace*{\Width}\raisebox{\Height}{A}}%
+%
+%
+\settowidth{\Width}{B}\setlength{\Width}{-1\Width}%
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+\put(-2.1000,-1.0000){\hspace*{\Width}\raisebox{\Height}{B}}%
+%
+%
+\settowidth{\Width}{C}\setlength{\Width}{0\Width}%
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+\put(2.1000,-1.0000){\hspace*{\Width}\raisebox{\Height}{C}}%
+%
+%
+\settowidth{\Width}{$\theta$}\setlength{\Width}{-0.5\Width}%
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+\put(-1.3600,-0.6100){\hspace*{\Width}\raisebox{\Height}{$\theta$}}%
+%
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+\put(0.1900,-0.1400){\hspace*{\Width}\raisebox{\Height}{$\alpha$}}%
+%
+%
+\special{pn 24}%
+\special{pa 538 89}\special{pa 536 90}\special{pa 500 124}\special{pa 469 162}\special{pa 442 204}%
+\special{pa 421 249}\special{pa 406 296}\special{pa 397 344}\special{pa 394 394}%
+\special{fp}%
+\special{pn 8}%
+\special{pa -181 -791}\special{pa -787 394}\special{pa 787 394}\special{pa -181 -791}%
+\special{fp}%
+\special{pa -271 -616}\special{pa -265 -613}\special{pa -242 -604}\special{pa -218 -598}%
+\special{pa -193 -595}\special{pa -169 -595}\special{pa -144 -598}\special{pa -120 -604}%
+\special{pa -97 -613}\special{pa -76 -625}\special{pa -57 -639}%
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\ No newline at end of file diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/arrowdata.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/arrowdata.tex new file mode 100644 index 00000000000..52ab681b820 --- /dev/null +++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/arrowdata.tex @@ -0,0 +1,72 @@ +%%% test.tex 2014-11-30 20:20 +%%% test.sce 2014-11-30 20:20 +{\unitlength=6mm% +\begin{picture}% +( 12.56000, 5.04000)( -1.00000, -1.00000)% +\special{pn 8}% +% +\special{pa 451 -633}\special{pa 472 -709}\special{pa 411 -660}\special{pa 431 -646}% +\special{pa 451 -633}\special{sh 1}\special{ip}% +\special{pn 8}% +\special{pa 451 -633}\special{pa 472 -709}\special{pa 411 -660}\special{pa 431 -646}% +\special{pa 451 -633}% +\special{fp}% +\special{pn 8}% +\special{pa 724 -277}\special{pa 709 -354}\special{pa 631 -339}\special{pa 678 -308}% +\special{pa 724 -277}\special{sh 1}\special{ip}% +\special{pn 8}% +\special{pa 724 -277}\special{pa 709 -354}\special{pa 631 -339}\special{pa 678 -308}% +\special{pa 724 -277}% +\special{fp}% +\special{pn 8}% +\special{pn 16}% +\special{pa 945 0}\special{pa 1417 -709}% +\special{fp}% +\special{pn 8}% +\special{pa 1375 -557}\special{pa 1417 -709}\special{pa 1294 -611}\special{pa 1334 -584}% +\special{pa 1375 -557}\special{sh 1}\special{ip}% +\special{pn 8}% +\special{pa 1375 -557}\special{pa 1417 -709}\special{pa 1294 -611}\special{pa 1334 -584}% +\special{pa 1375 -557}% +\special{fp}% +\special{pn 8}% +\special{pa 1417 0}\special{pa 1428 -16}\special{fp}\special{pa 1438 -31}\special{pa 1449 -47}\special{fp}% +\special{pa 1459 -63}\special{pa 1470 -79}\special{fp}\special{pa 1480 -94}\special{pa 1491 -110}\special{fp}% +\special{pa 1501 -126}\special{pa 1512 -142}\special{fp}\special{pa 1522 -157}\special{pa 1533 -173}\special{fp}% +\special{pa 1543 -189}\special{pa 1554 -205}\special{fp}\special{pa 1564 -220}\special{pa 1575 -236}\special{fp}% +\special{pa 1585 -252}\special{pa 1596 -268}\special{fp}\special{pa 1606 -283}\special{pa 1617 -299}\special{fp}% +\special{pa 1627 -315}\special{pa 1638 -331}\special{fp}\special{pa 1648 -346}\special{pa 1659 -362}\special{fp}% +\special{pa 1669 -378}\special{pa 1680 -394}\special{fp}\special{pa 1690 -409}\special{pa 1701 -425}\special{fp}% +\special{pa 1711 -441}\special{pa 1722 -457}\special{fp}\special{pa 1732 -472}\special{pa 1743 -488}\special{fp}% +\special{pa 1753 -504}\special{pa 1764 -520}\special{fp}\special{pa 1774 -535}\special{pa 1785 -551}\special{fp}% +\special{pa 1795 -567}\special{pa 1806 -583}\special{fp}\special{pa 1816 -598}\special{pa 1827 -614}\special{fp}% +\special{pa 1837 -630}\special{pa 1848 -646}\special{fp}\special{pa 1858 -661}\special{pa 1869 -677}\special{fp}% +\special{pa 1879 -693}\special{pa 1890 -709}\special{fp}% +% +\special{pa 1868 -633}\special{pa 1890 -709}\special{pa 1828 -660}\special{pa 1848 -646}% +\special{pa 1868 -633}\special{sh 1}\special{ip}% +\special{pn 8}% +\special{pa 1868 -633}\special{pa 1890 -709}\special{pa 1828 -660}\special{pa 1848 -646}% +\special{pa 1868 -633}% +\special{fp}% +\special{pn 8}% +\special{pn 24}% +\special{pa 1883 10}\special{pa 1896 -10}\special{fp}\special{pa 1926 -54}\special{pa 1939 -74}\special{fp}% +\special{pa 1969 -119}\special{pa 1982 -139}\special{fp}\special{pa 2012 -183}\special{pa 2025 -203}\special{fp}% +\special{pa 2055 -248}\special{pa 2068 -268}\special{fp}\special{pa 2098 -312}\special{pa 2111 -332}\special{fp}% +\special{pa 2141 -377}\special{pa 2154 -397}\special{fp}\special{pa 2184 -441}\special{pa 2197 -461}\special{fp}% +\special{pa 2227 -505}\special{pa 2240 -525}\special{fp}\special{pa 2270 -570}\special{pa 2283 -590}\special{fp}% +\special{pa 2313 -634}\special{pa 2326 -654}\special{fp}\special{pa 2356 -699}\special{pa 2369 -719}\special{fp}% +\special{pn 8}% +\special{pa 2320 -557}\special{pa 2362 -709}\special{pa 2239 -611}\special{pa 2279 -584}% +\special{pa 2320 -557}\special{sh 1}\special{ip}% +\special{pn 8}% +\special{pa 2320 -557}\special{pa 2362 -709}\special{pa 2239 -611}\special{pa 2279 -584}% +\special{pa 2320 -557}% +\special{fp}% +\special{pn 8}% +\special{pa 0 0}\special{pa 472 -709}% +\special{fp}% +\special{pa 472 0}\special{pa 945 -709}% +\special{fp}% +\end{picture}}%
\ No newline at end of file diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/arrowhead.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/arrowhead.tex new file mode 100644 index 00000000000..d61b5ee62d9 --- /dev/null +++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/arrowhead.tex @@ -0,0 +1,38 @@ +%%% test.tex 2014-10-16 20:32 +%%% test.sce 2014-10-16 20:32 +{\unitlength=1cm% +\begin{picture}% +( 4.00000, 3.00000)( -1.00000, -0.50000)% +\special{pn 8}% +% +\special{pa 271 -315}\special{pa 197 -343}\special{pa 240 -277}\special{pa 255 -296}% +\special{pa 271 -315}\special{sh 1}\special{ip}% +\special{pn 8}% +\special{pa 271 -315}\special{pa 197 -343}\special{pa 240 -277}\special{pa 255 -296}% +\special{pa 271 -315}% +\special{fp}% +\special{pn 8}% +\settowidth{\Width}{θ}\setlength{\Width}{0\Width}% +\settoheight{\Height}{θ}\settodepth{\Depth}{θ}\setlength{\Height}{\Depth}% +\put(1.0500,0.5500){\hspace*{\Width}\raisebox{\Height}{θ}}% +% +% +\special{pa 394 0}\special{pa 394 -8}\special{pa 393 -16}\special{pa 393 -25}\special{pa 392 -33}% +\special{pa 392 -41}\special{pa 391 -49}\special{pa 389 -58}\special{pa 388 -66}\special{pa 387 -74}% +\special{pa 385 -82}\special{pa 383 -90}\special{pa 381 -98}\special{pa 379 -106}% +\special{pa 377 -114}\special{pa 374 -122}\special{pa 372 -129}\special{pa 369 -137}% +\special{pa 366 -145}\special{pa 363 -153}\special{pa 360 -160}\special{pa 356 -168}% +\special{pa 353 -175}\special{pa 349 -182}\special{pa 345 -190}\special{pa 341 -197}% +\special{pa 337 -204}\special{pa 332 -211}\special{pa 328 -218}\special{pa 323 -225}% +\special{pa 319 -231}\special{pa 314 -238}\special{pa 309 -245}\special{pa 303 -251}% +\special{pa 298 -257}\special{pa 293 -263}\special{pa 287 -270}\special{pa 281 -275}% +\special{pa 275 -281}\special{pa 270 -287}\special{pa 263 -293}\special{pa 257 -298}% +\special{pa 251 -303}\special{pa 245 -309}\special{pa 238 -314}\special{pa 231 -319}% +\special{pa 225 -323}\special{pa 218 -328}\special{pa 211 -332}\special{pa 204 -337}% +\special{pa 197 -341}% +\special{fp}% +\special{pa 0 0}\special{pa 787 0}% +\special{fp}% +\special{pa 0 0}\special{pa 394 -681}% +\special{fp}% +\end{picture}}%
\ No newline at end of file diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/assign.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/assign.tex new file mode 100644 index 00000000000..ab6bcf7d32d --- /dev/null +++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/assign.tex @@ -0,0 +1,361 @@ +%%% fig.tex 2016-4-28 10:9 +%%% fig.sce 2016-4-28 10:9 +{\unitlength=4mm% +\begin{picture}% +( 10.00000, 10.00000)( -5.00000, -2.00000)% +\special{pn 8}% +% +\special{pa -787 -151}\special{pa -756 0}\special{pa -724 151}\special{pa -693 302}% +\special{pa -690 315}% +\special{fp}% +\special{pa -787 -290}\special{pa -756 -145}\special{pa -724 0}\special{pa -693 145}% +\special{pa -661 290}\special{pa -656 315}% +\special{fp}% +\special{pa -787 -416}\special{pa -756 -277}\special{pa -724 -139}\special{pa -693 0}% +\special{pa -661 139}\special{pa -630 277}\special{pa -621 315}% +\special{fp}% +\special{pa -787 -529}\special{pa -756 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\ No newline at end of file diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/binvsnormal.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/binvsnormal.tex new file mode 100644 index 00000000000..3b5a66a1c6e --- /dev/null +++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/binvsnormal.tex @@ -0,0 +1,94 @@ +%%% fig.tex 2016-4-23 11:39 +%%% fig.sce 2016-4-23 11:39 +{\unitlength=8mm% +\begin{picture}% +( 11.02000, 6.60000)( -0.82000, -0.80000)% +\special{pn 8}% +% +\special{pa 0 -38}\special{pa 315 -254}\special{pa 630 -762}\special{pa 945 -1354}% +\special{pa 1260 -1580}\special{pa 1575 -1264}\special{pa 1890 -702}\special{pa 2205 -268}% +\special{pa 2520 -67}\special{pa 2835 -10}\special{pa 3150 -1}% +\special{fp}% +\special{pn 8}% +\special{pa -4 -57}\special{pa 4 -59}\special{fp}\special{pa 33 -70}\special{pa 41 -72}\special{fp}% +\special{pa 70 -84}\special{pa 78 -87}\special{fp}\special{pa 106 -100}\special{pa 114 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\ No newline at end of file diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/bowdata.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/bowdata.tex new file mode 100644 index 00000000000..fce1a011048 --- /dev/null +++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/bowdata.tex @@ -0,0 +1,74 @@ +%%% fig.tex 2016-5-1 19:10 +%%% fig.sce 2016-5-1 19:10 +{\unitlength=8mm% +\begin{picture}% +( 4.50000, 5.00000)( -1.00000, -1.00000)% +\special{pn 8}% +% +\special{pa 414 -922}\special{pa 0 0}\special{pa 787 0}\special{pa 414 -922}% +\special{fp}% +\settowidth{\Width}{A}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{A}\settodepth{\Depth}{A}\setlength{\Height}{\Depth}% +\put(1.3150,3.0277){\hspace*{\Width}\raisebox{\Height}{A}}% +% +% +\settowidth{\Width}{B}\setlength{\Width}{-1\Width}% +\settoheight{\Height}{B}\settodepth{\Depth}{B}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% 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\ No newline at end of file diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/boxplot.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/boxplot.tex new file mode 100644 index 00000000000..4960d1a6527 --- /dev/null +++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/boxplot.tex @@ -0,0 +1,115 @@ +%%% t4boxplot2.tex 2016-4-23 9:27 +%%% t4boxplot2.sce 2016-4-23 9:27 +{\unitlength=1cm% +\begin{picture}% +( 8.00000, 6.00000)( -1.00000, -1.00000)% +\special{pn 8}% +% +\special{pa 394 -295}\special{pa 394 -492}% +\special{fp}% +\special{pa 1181 -197}\special{pa 1181 -591}\special{pa 1713 -591}\special{pa 1713 -197}% +\special{pa 1181 -197}% +\special{fp}% +\special{pa 1949 -295}\special{pa 1949 -492}% +\special{fp}% +\special{pn 16}% +\special{pa 1378 -197}\special{pa 1378 -591}% +\special{fp}% +\special{pn 8}% +\special{pa 394 -394}\special{pa 431 -394}\special{fp}\special{pa 469 -394}\special{pa 506 -394}\special{fp}% +\special{pa 544 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\ No newline at end of file diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/checkCR.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/checkCR.tex new file mode 100644 index 00000000000..9a938af705d --- /dev/null +++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/checkCR.tex @@ -0,0 +1,52 @@ +%%% checkb.tex 2015-1-13 16:15
+%%% checkb.sce 2015-1-13 13:55
+{\unitlength=1cm%
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\ No newline at end of file diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/checkbmain.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/checkbmain.tex new file mode 100644 index 00000000000..239605d30db --- /dev/null +++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/checkbmain.tex @@ -0,0 +1,17 @@ +\documentclass{article}
+\usepackage{ketpic,ketlayer}
+\usepackage{amsmath,amssymb}
+\usepackage{graphicx,color}
+
+\def\ketcindy{{K\kern-.20em%
+\lower.5ex\hbox{E}\kern-.125em{TCindy}}}
+
+\setmargin{20}{20}{20}{20}
+
+\begin{document}
+checkb
+\vspace{5mm}
+
+\input{checkb.tex}
+
+\end{document}
diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/checkbs1.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/checkbs1.tex new file mode 100644 index 00000000000..c9c2972d3d1 --- /dev/null +++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/checkbs1.tex @@ -0,0 +1,61 @@ +%%% checkb.tex 2015-1-13 17:48
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\ No newline at end of file diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/colortable35-68.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/colortable35-68.tex new file mode 100644 index 00000000000..c89b555d804 --- /dev/null +++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/colortable35-68.tex @@ -0,0 +1,1934 @@ +%%% colortable35-68.tex 2015-2-6 18:34 +%%% colortable35-68.sce 2015-2-6 18:29 +{\unitlength=1cm% +\begin{picture}% +( 15.00000, 17.50000)( -0.00000, -0.00000)% +\special{pn 8}% +% +\color[cmyk]{0.75,0.9,0,0}% +\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(10.7500,16.7500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% +% +% +\special{pa 4626 -6693}\special{pa 4626 -6496}\special{pa 5906 -6496}\special{pa 5906 -6693}% +\special{pa 4626 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+\color[cmyk]{0.62,0.57,0.23,0}% +\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(10.7500,15.2500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% +% +% +\special{pa 4626 -6102}\special{pa 4626 -5906}\special{pa 5906 -5906}\special{pa 5906 -6102}% +\special{pa 4626 -6102}\special{sh 1}\special{ip}% +\color[cmyk]{0.65,0.13,0,0}% +\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(10.7500,14.7500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% +% +% +\special{pa 4626 -5906}\special{pa 4626 -5709}\special{pa 5906 -5709}\special{pa 5906 -5906}% +\special{pa 4626 -5906}\special{sh 1}\special{ip}% +\color[cmyk]{0.98,0.13,0,0.43}% +\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(10.7500,14.2500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% +% +% +\special{pa 4626 -5709}\special{pa 4626 -5512}\special{pa 5906 -5512}\special{pa 5906 -5709}% +\special{pa 4626 -5709}\special{sh 1}\special{ip}% +\color[cmyk]{0.94,0.54,0,0}% +\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(10.7500,13.7500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% +% +% +\special{pa 4626 -5512}\special{pa 4626 -5315}\special{pa 5906 -5315}\special{pa 5906 -5512}% +\special{pa 4626 -5512}\special{sh 1}\special{ip}% +\color[cmyk]{1,0.5,0,0}% +\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(10.7500,13.2500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% +% +% +\special{pa 4626 -5315}\special{pa 4626 -5118}\special{pa 5906 -5118}\special{pa 5906 -5315}% +\special{pa 4626 -5315}\special{sh 1}\special{ip}% +\color[cmyk]{1,1,0,0}% +\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(10.7500,12.7500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% +% +% +\special{pa 4626 -5118}\special{pa 4626 -4921}\special{pa 5906 -4921}\special{pa 5906 -5118}% +\special{pa 4626 -5118}\special{sh 1}\special{ip}% +\color[cmyk]{0.94,0.11,0,0}% +\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(10.7500,12.2500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% +% +% +\special{pa 4626 -4921}\special{pa 4626 -4724}\special{pa 5906 -4724}\special{pa 5906 -4921}% +\special{pa 4626 -4921}\special{sh 1}\special{ip}% +\color[cmyk]{1,0,0,0}% +\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(10.7500,11.7500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% +% +% +\special{pa 4626 -4724}\special{pa 4626 -4528}\special{pa 5906 -4528}\special{pa 5906 -4724}% +\special{pa 4626 -4724}\special{sh 1}\special{ip}% +\color[cmyk]{0.96,0,0,0}% 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+\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(10.7500,10.2500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% +% +% +\special{pa 4626 -4134}\special{pa 4626 -3937}\special{pa 5906 -3937}\special{pa 5906 -4134}% +\special{pa 4626 -4134}\special{sh 1}\special{ip}% +\color[cmyk]{0.86,0,0.34,0.02}% +\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(10.7500,9.7500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% +% +% +\special{pa 4626 -3937}\special{pa 4626 -3740}\special{pa 5906 -3740}\special{pa 5906 -3937}% +\special{pa 4626 -3937}\special{sh 1}\special{ip}% +\color[cmyk]{0.82,0,0.3,0}% +\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(10.7500,9.2500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% +% +% +\special{pa 4626 -3740}\special{pa 4626 -3543}\special{pa 5906 -3543}\special{pa 5906 -3740}% +\special{pa 4626 -3740}\special{sh 1}\special{ip}% +\color[cmyk]{0.85,0,0.33,0}% +\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(10.7500,8.7500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% +% +% +\special{pa 4626 -3543}\special{pa 4626 -3346}\special{pa 5906 -3346}\special{pa 5906 -3543}% +\special{pa 4626 -3543}\special{sh 1}\special{ip}% +\color[cmyk]{1,0,0.5,0}% +\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(10.7500,8.2500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% +% +% +\special{pa 4626 -3346}\special{pa 4626 -3150}\special{pa 5906 -3150}\special{pa 5906 -3346}% +\special{pa 4626 -3346}\special{sh 1}\special{ip}% +\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(10.7500,7.7500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% +% +% +\special{pa 4626 -3150}\special{pa 4626 -2953}\special{pa 5906 -2953}\special{pa 5906 -3150}% +\special{pa 4626 -3150}\special{sh 1}\special{ip}% +\color[cmyk]{0.69,0,0.5,0}% +\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(10.7500,7.2500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% +% +% +\special{pa 4626 -2953}\special{pa 4626 -2756}\special{pa 5906 -2756}\special{pa 5906 -2953}% +\special{pa 4626 -2953}\special{sh 1}\special{ip}% +\color[cmyk]{1,0,1,0}% +\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(10.7500,6.7500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% +% +% +\special{pa 4626 -2756}\special{pa 4626 -2559}\special{pa 5906 -2559}\special{pa 5906 -2756}% +\special{pa 4626 -2756}\special{sh 1}\special{ip}% +\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% 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+% +% +\settowidth{\Width}{white}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{white}\settodepth{\Depth}{white}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(4.5000,0.2500){\hspace*{\Width}\raisebox{\Height}{white}}% +% +% +\settowidth{\Width}{[0,0,0,0]}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{[0,0,0,0]}\settodepth{\Depth}{[0,0,0,0]}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(8.0000,0.2500){\hspace*{\Width}\raisebox{\Height}{[0,0,0,0]}}% +% +% +\settowidth{\Width}{}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{}\settodepth{\Depth}{}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(10.7500,0.2500){\hspace*{\Width}\raisebox{\Height}{}}% +% +% +\settowidth{\Width}{}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{}\settodepth{\Depth}{}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(13.3800,0.2500){\hspace*{\Width}\raisebox{\Height}{}}% +% +% +\end{picture}}%
\ No newline at end of file diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/colortablee1-34.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/colortablee1-34.tex new file mode 100644 index 00000000000..0ee3653ac34 --- /dev/null +++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/colortablee1-34.tex @@ -0,0 +1,1936 @@ +%%% colortable1-34.tex 2015-2-8 17:25 +%%% colortable1-34.sce 2015-2-8 17:25 +{\unitlength=1cm% +\begin{picture}% +( 15.00000, 17.50000)( -0.00000, -0.00000)% +\special{pn 8}% +% +\color[cmyk]{0.15,0,0.69,0}% +\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(10.7500,16.7500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% +% +% +\special{pa 4626 -6693}\special{pa 4626 -6496}\special{pa 5906 -6496}\special{pa 5906 -6693}% +\special{pa 4626 -6693}\special{sh 1}\special{ip}% +\color[cmyk]{0,0,1,0}% +\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(10.7500,16.2500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% +% +% +\special{pa 4626 -6496}\special{pa 4626 -6299}\special{pa 5906 -6299}\special{pa 5906 -6496}% +\special{pa 4626 -6496}\special{sh 1}\special{ip}% +\color[cmyk]{0,0.1,0.84,0}% +\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(10.7500,15.7500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% +% +% +\special{pa 4626 -6299}\special{pa 4626 -6102}\special{pa 5906 -6102}\special{pa 5906 -6299}% +\special{pa 4626 -6299}\special{sh 1}\special{ip}% +\color[cmyk]{0,0.29,0.84,0}% +\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(10.7500,15.2500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% +% +% +\special{pa 4626 -6102}\special{pa 4626 -5906}\special{pa 5906 -5906}\special{pa 5906 -6102}% +\special{pa 4626 -6102}\special{sh 1}\special{ip}% +\color[cmyk]{0,0.32,0.52,0}% +\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(10.7500,14.7500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% +% +% +\special{pa 4626 -5906}\special{pa 4626 -5709}\special{pa 5906 -5709}\special{pa 5906 -5906}% +\special{pa 4626 -5906}\special{sh 1}\special{ip}% +\color[cmyk]{0,0.5,0.7,0}% +\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(10.7500,14.2500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% +% +% +\special{pa 4626 -5709}\special{pa 4626 -5512}\special{pa 5906 -5512}\special{pa 5906 -5709}% +\special{pa 4626 -5709}\special{sh 1}\special{ip}% +\color[cmyk]{0,0.46,0.5,0}% +\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(10.7500,13.7500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% +% +% +\special{pa 4626 -5512}\special{pa 4626 -5315}\special{pa 5906 -5315}\special{pa 5906 -5512}% +\special{pa 4626 -5512}\special{sh 1}\special{ip}% +\color[cmyk]{0,0.42,1,0}% +\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(10.7500,13.2500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% +% +% +\special{pa 4626 -5315}\special{pa 4626 -5118}\special{pa 5906 -5118}\special{pa 5906 -5315}% +\special{pa 4626 -5315}\special{sh 1}\special{ip}% +\color[cmyk]{0,0.61,0.87,0}% +\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(10.7500,12.7500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% +% +% +\special{pa 4626 -5118}\special{pa 4626 -4921}\special{pa 5906 -4921}\special{pa 5906 -5118}% +\special{pa 4626 -5118}\special{sh 1}\special{ip}% +\color[cmyk]{0,0.51,1,0}% +\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(10.7500,12.2500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% +% +% +\special{pa 4626 -4921}\special{pa 4626 -4724}\special{pa 5906 -4724}\special{pa 5906 -4921}% +\special{pa 4626 -4921}\special{sh 1}\special{ip}% +\color[cmyk]{0,0.75,1,0.24}% +\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(10.7500,11.7500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% +% +% +\special{pa 4626 -4724}\special{pa 4626 -4528}\special{pa 5906 -4528}\special{pa 5906 -4724}% +\special{pa 4626 -4724}\special{sh 1}\special{ip}% +\color[cmyk]{0,0.77,0.87,0}% +\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(10.7500,11.2500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% +% +% +\special{pa 4626 -4528}\special{pa 4626 -4331}\special{pa 5906 -4331}\special{pa 5906 -4528}% +\special{pa 4626 -4528}\special{sh 1}\special{ip}% +\color[cmyk]{0,0.85,0.87,0.35}% +\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(10.7500,10.7500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% +% +% +\special{pa 4626 -4331}\special{pa 4626 -4134}\special{pa 5906 -4134}\special{pa 5906 -4331}% +\special{pa 4626 -4331}\special{sh 1}\special{ip}% +\color[cmyk]{0,0.87,0.68,0.32}% +\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(10.7500,10.2500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% +% +% +\special{pa 4626 -4134}\special{pa 4626 -3937}\special{pa 5906 -3937}\special{pa 5906 -4134}% +\special{pa 4626 -4134}\special{sh 1}\special{ip}% +\color[cmyk]{0,0.89,0.94,0.28}% +\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(10.7500,9.7500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% +% +% +\special{pa 4626 -3937}\special{pa 4626 -3740}\special{pa 5906 -3740}\special{pa 5906 -3937}% +\special{pa 4626 -3937}\special{sh 1}\special{ip}% +\color[cmyk]{0,1,1,0}% +\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(10.7500,9.2500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% +% +% +\special{pa 4626 -3740}\special{pa 4626 -3543}\special{pa 5906 -3543}\special{pa 5906 -3740}% +\special{pa 4626 -3740}\special{sh 1}\special{ip}% +\color[cmyk]{0,1,0.5,0}% +\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(10.7500,8.7500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% +% +% +\special{pa 4626 -3543}\special{pa 4626 -3346}\special{pa 5906 -3346}\special{pa 5906 -3543}% +\special{pa 4626 -3543}\special{sh 1}\special{ip}% +\color[cmyk]{0,1,0.13,0}% +\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(10.7500,8.2500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% +% +% +\special{pa 4626 -3346}\special{pa 4626 -3150}\special{pa 5906 -3150}\special{pa 5906 -3346}% +\special{pa 4626 -3346}\special{sh 1}\special{ip}% +\color[cmyk]{0,0.96,0.39,0}% +\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(10.7500,7.7500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% +% +% +\special{pa 4626 -3150}\special{pa 4626 -2953}\special{pa 5906 -2953}\special{pa 5906 -3150}% +\special{pa 4626 -3150}\special{sh 1}\special{ip}% +\color[cmyk]{0,0.53,0.38,0}% +\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(10.7500,7.2500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% +% +% +\special{pa 4626 -2953}\special{pa 4626 -2756}\special{pa 5906 -2756}\special{pa 5906 -2953}% +\special{pa 4626 -2953}\special{sh 1}\special{ip}% +\color[cmyk]{0,0.63,0,0}% +\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(10.7500,6.7500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% +% +% +\special{pa 4626 -2756}\special{pa 4626 -2559}\special{pa 5906 -2559}\special{pa 5906 -2756}% +\special{pa 4626 -2756}\special{sh 1}\special{ip}% +\color[cmyk]{0,1,0,0}% +\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(10.7500,6.2500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% +% +% +\special{pa 4626 -2559}\special{pa 4626 -2362}\special{pa 5906 -2362}\special{pa 5906 -2559}% +\special{pa 4626 -2559}\special{sh 1}\special{ip}% +\color[cmyk]{0,0.81,0,0}% +\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(10.7500,5.7500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% +% +% +\special{pa 4626 -2362}\special{pa 4626 -2165}\special{pa 5906 -2165}\special{pa 5906 -2362}% +\special{pa 4626 -2362}\special{sh 1}\special{ip}% +\color[cmyk]{0,0.82,0,0}% +\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(10.7500,5.2500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% +% +% +\special{pa 4626 -2165}\special{pa 4626 -1969}\special{pa 5906 -1969}\special{pa 5906 -2165}% +\special{pa 4626 -2165}\special{sh 1}\special{ip}% +\color[cmyk]{0.34,0.9,0,0.02}% +\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(10.7500,4.7500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% +% +% +\special{pa 4626 -1969}\special{pa 4626 -1772}\special{pa 5906 -1772}\special{pa 5906 -1969}% +\special{pa 4626 -1969}\special{sh 1}\special{ip}% +\color[cmyk]{0.07,0.9,0,0.34}% 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\ No newline at end of file diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/colortablee35-68.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/colortablee35-68.tex new file mode 100644 index 00000000000..017807da8fd --- /dev/null +++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/colortablee35-68.tex @@ -0,0 +1,1934 @@ +%%% colortable35-68.tex 2015-2-6 18:34 +%%% colortable35-68.sce 2015-2-6 18:29 +{\unitlength=1cm% +\begin{picture}% +( 15.00000, 17.50000)( -0.00000, -0.00000)% +\special{pn 8}% +% +\color[cmyk]{0.75,0.9,0,0}% +\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(10.7500,16.7500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% +% +% +\special{pa 4626 -6693}\special{pa 4626 -6496}\special{pa 5906 -6496}\special{pa 5906 -6693}% +\special{pa 4626 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+\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(10.7500,13.2500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% +% +% +\special{pa 4626 -5315}\special{pa 4626 -5118}\special{pa 5906 -5118}\special{pa 5906 -5315}% +\special{pa 4626 -5315}\special{sh 1}\special{ip}% +\color[cmyk]{1,1,0,0}% +\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(10.7500,12.7500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% +% +% +\special{pa 4626 -5118}\special{pa 4626 -4921}\special{pa 5906 -4921}\special{pa 5906 -5118}% +\special{pa 4626 -5118}\special{sh 1}\special{ip}% +\color[cmyk]{0.94,0.11,0,0}% +\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(10.7500,12.2500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% +% +% +\special{pa 4626 -4921}\special{pa 4626 -4724}\special{pa 5906 -4724}\special{pa 5906 -4921}% +\special{pa 4626 -4921}\special{sh 1}\special{ip}% +\color[cmyk]{1,0,0,0}% +\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(10.7500,11.7500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% +% +% +\special{pa 4626 -4724}\special{pa 4626 -4528}\special{pa 5906 -4528}\special{pa 5906 -4724}% +\special{pa 4626 -4724}\special{sh 1}\special{ip}% +\color[cmyk]{0.96,0,0,0}% +\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(10.7500,11.2500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% +% +% +\special{pa 4626 -4528}\special{pa 4626 -4331}\special{pa 5906 -4331}\special{pa 5906 -4528}% +\special{pa 4626 -4528}\special{sh 1}\special{ip}% +\color[cmyk]{0.62,0,0.12,0}% +\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(10.7500,10.7500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% +% +% +\special{pa 4626 -4331}\special{pa 4626 -4134}\special{pa 5906 -4134}\special{pa 5906 -4331}% +\special{pa 4626 -4331}\special{sh 1}\special{ip}% +\color[cmyk]{0.85,0,0.2,0}% +\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(10.7500,10.2500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% +% +% +\special{pa 4626 -4134}\special{pa 4626 -3937}\special{pa 5906 -3937}\special{pa 5906 -4134}% +\special{pa 4626 -4134}\special{sh 1}\special{ip}% +\color[cmyk]{0.86,0,0.34,0.02}% +\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(10.7500,9.7500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% +% +% +\special{pa 4626 -3937}\special{pa 4626 -3740}\special{pa 5906 -3740}\special{pa 5906 -3937}% +\special{pa 4626 -3937}\special{sh 1}\special{ip}% +\color[cmyk]{0.82,0,0.3,0}% +\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(10.7500,9.2500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% +% +% +\special{pa 4626 -3740}\special{pa 4626 -3543}\special{pa 5906 -3543}\special{pa 5906 -3740}% +\special{pa 4626 -3740}\special{sh 1}\special{ip}% +\color[cmyk]{0.85,0,0.33,0}% +\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(10.7500,8.7500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% +% +% +\special{pa 4626 -3543}\special{pa 4626 -3346}\special{pa 5906 -3346}\special{pa 5906 -3543}% +\special{pa 4626 -3543}\special{sh 1}\special{ip}% +\color[cmyk]{1,0,0.5,0}% +\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(10.7500,8.2500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% +% +% +\special{pa 4626 -3346}\special{pa 4626 -3150}\special{pa 5906 -3150}\special{pa 5906 -3346}% +\special{pa 4626 -3346}\special{sh 1}\special{ip}% +\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(10.7500,7.7500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% +% +% +\special{pa 4626 -3150}\special{pa 4626 -2953}\special{pa 5906 -2953}\special{pa 5906 -3150}% +\special{pa 4626 -3150}\special{sh 1}\special{ip}% +\color[cmyk]{0.69,0,0.5,0}% +\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(10.7500,7.2500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% +% +% +\special{pa 4626 -2953}\special{pa 4626 -2756}\special{pa 5906 -2756}\special{pa 5906 -2953}% +\special{pa 4626 -2953}\special{sh 1}\special{ip}% +\color[cmyk]{1,0,1,0}% +\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(10.7500,6.7500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% +% +% +\special{pa 4626 -2756}\special{pa 4626 -2559}\special{pa 5906 -2559}\special{pa 5906 -2756}% +\special{pa 4626 -2756}\special{sh 1}\special{ip}% +\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(10.7500,6.2500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% +% +% +\special{pa 4626 -2559}\special{pa 4626 -2362}\special{pa 5906 -2362}\special{pa 5906 -2559}% +\special{pa 4626 -2559}\special{sh 1}\special{ip}% +\color[cmyk]{0.92,0,0.59,0.25}% +\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(10.7500,5.7500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% +% +% +\special{pa 4626 -2362}\special{pa 4626 -2165}\special{pa 5906 -2165}\special{pa 5906 -2362}% +\special{pa 4626 -2362}\special{sh 1}\special{ip}% +\color[cmyk]{0.5,0,1,0}% +\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(10.7500,5.2500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% +% +% +\special{pa 4626 -2165}\special{pa 4626 -1969}\special{pa 5906 -1969}\special{pa 5906 -2165}% +\special{pa 4626 -2165}\special{sh 1}\special{ip}% +\color[cmyk]{0.44,0,0.74,0}% +\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(10.7500,4.7500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% +% +% +\special{pa 4626 -1969}\special{pa 4626 -1772}\special{pa 5906 -1772}\special{pa 5906 -1969}% +\special{pa 4626 -1969}\special{sh 1}\special{ip}% +\color[cmyk]{0.26,0,0.76,0}% +\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(10.7500,4.2500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% +% +% +\special{pa 4626 -1772}\special{pa 4626 -1575}\special{pa 5906 -1575}\special{pa 5906 -1772}% +\special{pa 4626 -1772}\special{sh 1}\special{ip}% +\color[cmyk]{0.64,0,0.95,0.4}% +\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(10.7500,3.7500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% +% +% +\special{pa 4626 -1575}\special{pa 4626 -1378}\special{pa 5906 -1378}\special{pa 5906 -1575}% +\special{pa 4626 -1575}\special{sh 1}\special{ip}% +\color[cmyk]{0,0.72,1,0.45}% +\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(10.7500,3.2500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% +% +% +\special{pa 4626 -1378}\special{pa 4626 -1181}\special{pa 5906 -1181}\special{pa 5906 -1378}% +\special{pa 4626 -1378}\special{sh 1}\special{ip}% +\color[cmyk]{0,0.83,1,0.7}% +\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(10.7500,2.7500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% +% +% +\special{pa 4626 -1181}\special{pa 4626 -984}\special{pa 5906 -984}\special{pa 5906 -1181}% +\special{pa 4626 -1181}\special{sh 1}\special{ip}% +\color[cmyk]{0,0.81,1,0.6}% +\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(10.7500,2.2500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% +% +% +\special{pa 4626 -984}\special{pa 4626 -787}\special{pa 5906 -787}\special{pa 5906 -984}% +\special{pa 4626 -984}\special{sh 1}\special{ip}% +\color[cmyk]{0.14,0.42,0.56,0}% +\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{ã‚ã„ã†ãˆãŠ}\settodepth{\Depth}{ã‚ã„ã†ãˆãŠ}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(10.7500,1.7500){\hspace*{\Width}\raisebox{\Height}{ã‚ã„ã†ãˆãŠ}}% +% +% +\special{pa 4626 -787}\special{pa 4626 -591}\special{pa 5906 -591}\special{pa 5906 -787}% +\special{pa 4626 -787}\special{sh 1}\special{ip}% +\color[cmyk]{0,0,0,0.5}% +\settowidth{\Width}{ã‚ã„ã†ãˆãŠ}\setlength{\Width}{-0.5\Width}% 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\ No newline at end of file diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/hatch5.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/hatch5.tex new file mode 100644 index 00000000000..975d9848e8b --- /dev/null +++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/hatch5.tex @@ -0,0 +1,136 @@ +%%% hatch6.tex 2014-11-9 5:13
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\ No newline at end of file diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/histgram.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/histgram.tex new file mode 100644 index 00000000000..42c8635477c --- /dev/null +++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/histgram.tex @@ -0,0 +1,137 @@ +%%% t5histplot.tex 2016-4-23 11:21 +%%% t5histplot.sce 2016-4-23 11:21 +{\unitlength=0.6mm% +\begin{picture}% +( 132.11000, 89.65000)( -18.31000, -8.10000)% +\special{pn 8}% +% +\special{pa 472 0}\special{pa 472 -709}\special{pa 709 -709}\special{pa 709 0}\special{pa 472 0}% +\special{fp}% +\special{pa 709 0}\special{pa 709 -236}\special{pa 945 -236}\special{pa 945 0}\special{pa 709 0}% +\special{fp}% +\special{pa 945 0}\special{pa 1181 0}\special{pa 945 0}% +\special{fp}% +\special{pa 1181 0}\special{pa 1181 -1654}\special{pa 1417 -1654}\special{pa 1417 0}% +\special{pa 1181 0}% +\special{fp}% +\special{pa 1417 0}\special{pa 1417 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+\special{pa 362 0}\special{pa 327 0}\special{pa 295 0}\special{pa 264 0}\special{pa 228 0}% +\special{pa 197 0}\special{pa 165 0}\special{pa 130 0}\special{pa 98 0}\special{pa 67 0}% +\special{pa 31 0}\special{pa 0 0}% +\special{fp}% +\end{picture}}%
\ No newline at end of file diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/listplot3.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/listplot3.tex new file mode 100644 index 00000000000..34b2c24661d --- /dev/null +++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/listplot3.tex @@ -0,0 +1,61 @@ +%%% test.tex 2014-10-29 19:53 +%%% test.sce 2014-10-29 19:53 +{\unitlength=1cm% +\begin{picture}% +( 8.50000, 3.50000)( -1.50000, 0.50000)% +\special{pn 8}% +% +\special{pn 16}% +\special{pa 0 -394}\special{pa 197 -1378}% +\special{fp}% +\special{pn 8}% +\special{pa 394 -394}\special{pa 401 -430}\special{fp}\special{pa 408 -467}\special{pa 416 -503}\special{fp}% +\special{pa 423 -540}\special{pa 430 -576}\special{fp}\special{pa 437 -612}\special{pa 445 -649}\special{fp}% +\special{pa 452 -685}\special{pa 459 -722}\special{fp}\special{pa 467 -758}\special{pa 474 -795}\special{fp}% +\special{pa 481 -831}\special{pa 488 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1662 -831}\special{fp}% +\special{pa 1669 -862}\special{pa 1670 -870}\special{fp}\special{pa 1676 -902}\special{pa 1678 -909}\special{fp}% +\special{pa 1684 -941}\special{pa 1686 -949}\special{fp}\special{pa 1692 -980}\special{pa 1694 -988}\special{fp}% +\special{pa 1700 -1020}\special{pa 1702 -1028}\special{fp}\special{pa 1708 -1059}\special{pa 1709 -1067}\special{fp}% +\special{pa 1716 -1098}\special{pa 1717 -1106}\special{fp}\special{pa 1724 -1138}\special{pa 1725 -1146}\special{fp}% +\special{pa 1731 -1177}\special{pa 1733 -1185}\special{fp}\special{pa 1739 -1217}\special{pa 1741 -1224}\special{fp}% +\special{pa 1747 -1256}\special{pa 1749 -1264}\special{fp}\special{pa 1755 -1295}\special{pa 1757 -1303}\special{fp}% +\special{pa 1763 -1335}\special{pa 1765 -1343}\special{fp}\special{pa 1771 -1374}\special{pa 1772 -1382}\special{fp}% +\special{pn 8}% +\special{pn 8}% +\special{pa 1968 -390}\special{pa 1969 -398}\special{fp}\special{pa 1992 -513}\special{pa 1994 -521}\special{fp}% 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-394 -394}\special{pa -197 -1378}% +\special{fp}% +\end{picture}}%
\ No newline at end of file diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/maxfun01.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/maxfun01.tex new file mode 100644 index 00000000000..535573a015b --- /dev/null +++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/maxfun01.tex @@ -0,0 +1,43 @@ +%%% maxfun01.tex 2016-4-29 15:38
+%%% maxfun01.sce 2016-4-29 15:31
+{\unitlength=1cm%
+\begin{picture}%
+( 4.21000, 4.72000)( -2.13000, -0.47000)%
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+%
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\ No newline at end of file diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/paramplot1.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/paramplot1.tex new file mode 100644 index 00000000000..075d6fd7dce --- /dev/null +++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/paramplot1.tex @@ -0,0 +1,40 @@ +%%% test.tex 2014-10-18 20:24 +%%% test.sce 2014-10-18 20:24 +{\unitlength=5mm% +\begin{picture}% +( 7.50000, 3.50000)( -0.50000, -0.50000)% +\special{pn 8}% +% +\special{pa 0 0}\special{pa 0 -2}\special{pa 1 -6}\special{pa 2 -14}\special{pa 4 -25}% +\special{pa 8 -39}\special{pa 15 -55}\special{pa 23 -74}\special{pa 34 -95}\special{pa 47 -117}% +\special{pa 64 -141}\special{pa 83 -165}\special{pa 106 -191}\special{pa 132 -216}% +\special{pa 161 -241}\special{pa 194 -265}\special{pa 229 -288}\special{pa 268 -309}% +\special{pa 309 -329}\special{pa 352 -347}\special{pa 397 -362}\special{pa 445 -374}% +\special{pa 493 -384}\special{pa 543 -390}\special{pa 593 -393}\special{pa 644 -393}% +\special{pa 694 -390}\special{pa 744 -384}\special{pa 792 -374}\special{pa 839 -362}% +\special{pa 885 -347}\special{pa 928 -329}\special{pa 969 -309}\special{pa 1008 -288}% +\special{pa 1043 -265}\special{pa 1075 -241}\special{pa 1105 -216}\special{pa 1131 -191}% +\special{pa 1154 -165}\special{pa 1173 -141}\special{pa 1190 -117}\special{pa 1203 -95}% +\special{pa 1214 -74}\special{pa 1222 -55}\special{pa 1228 -39}\special{pa 1232 -25}% +\special{pa 1235 -14}\special{pa 1236 -6}\special{pa 1237 -2}\special{pa 1237 0}% +\special{fp}% +\special{pa -98 0}\special{pa 1378 0}% +\special{fp}% +\special{pa 0 98}\special{pa 0 -591}% +\special{fp}% +\settowidth{\Width}{$x$}\setlength{\Width}{0\Width}% +\settoheight{\Height}{$x$}\settodepth{\Depth}{$x$}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(7.0500,0.0000){\hspace*{\Width}\raisebox{\Height}{$x$}}% +% +% +\settowidth{\Width}{$y$}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{$y$}\settodepth{\Depth}{$y$}\setlength{\Height}{\Depth}% +\put(0.0000,3.0500){\hspace*{\Width}\raisebox{\Height}{$y$}}% +% +% +\settowidth{\Width}{O}\setlength{\Width}{-1\Width}% +\settoheight{\Height}{O}\settodepth{\Depth}{O}\setlength{\Height}{-\Height}% +\put(-0.0500,-0.0500){\hspace*{\Width}\raisebox{\Height}{O}}% +% +% +\end{picture}}%
\ No newline at end of file diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/paramplot2.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/paramplot2.tex new file mode 100644 index 00000000000..0769ae89279 --- /dev/null +++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/paramplot2.tex @@ -0,0 +1,77 @@ +%%% test.tex 2014-10-18 18:55 +%%% test.sce 2014-10-18 18:55 +{\unitlength=5mm% +\begin{picture}% +( 20.00000, 3.00000)( -7.50000, -1.50000)% +\special{pn 8}% +% +\special{pn 16}% +\special{pa 394 0}\special{pa 390 -25}\special{pa 381 -50}\special{pa 365 -74}\special{pa 343 -97}% +\special{pa 316 -118}\special{pa 283 -137}\special{pa 245 -154}\special{pa 204 -168}% +\special{pa 159 -180}\special{pa 112 -189}\special{pa 63 -194}\special{pa 13 -197}% +\special{pa -38 -196}\special{pa -88 -192}\special{pa -136 -185}\special{pa -182 -175}% +\special{pa -225 -161}\special{pa -265 -146}\special{pa -300 -128}\special{pa -330 -107}% 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\ No newline at end of file diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/partcrv.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/partcrv.tex new file mode 100644 index 00000000000..bb080fe9f37 --- /dev/null +++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/partcrv.tex @@ -0,0 +1,111 @@ +%%% partcrv.tex 2014-11-10 14:36
+%%% partcrv.sce 2014-11-10 13:44
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\ No newline at end of file diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/partcrv1.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/partcrv1.tex new file mode 100644 index 00000000000..9467e8d9109 --- /dev/null +++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/partcrv1.tex @@ -0,0 +1,63 @@ +%%% partcrv1.tex 2014-11-9 0:37
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\ No newline at end of file diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/ptstart.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/ptstart.tex new file mode 100644 index 00000000000..bd07b245bae --- /dev/null +++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/ptstart.tex @@ -0,0 +1,147 @@ +%%% ptstart.tex 2014-11-13 9:50
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\ No newline at end of file diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/putcell.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/putcell.tex new file mode 100644 index 00000000000..c7b13ef0573 --- /dev/null +++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/putcell.tex @@ -0,0 +1,143 @@ +%%% test.tex 2014-11-25 22:19 +%%% test.sce 2014-11-25 22:19 +{\unitlength=6mm% +\begin{picture}% +( 10.00000, 4.00000)( 0.00000, 0.00000)% +\special{pn 8}% +% +\settowidth{\Width}{A}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{A}\settodepth{\Depth}{A}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(1.0000,3.0000){\hspace*{\Width}\raisebox{\Height}{A}}% +% +% +\settowidth{\Width}{B}\setlength{\Width}{-1\Width}% +\settoheight{\Height}{B}\settodepth{\Depth}{B}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% 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\ No newline at end of file diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/putcol.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/putcol.tex new file mode 100644 index 00000000000..380edea4167 --- /dev/null +++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/putcol.tex @@ -0,0 +1,188 @@ +%%% test.tex 2014-11-26 11:26 +%%% test.sce 2014-11-26 11:26 +{\unitlength=6mm% +\begin{picture}% +( 10.00000, 4.50000)( 0.00000, 0.00000)% +\special{pn 8}% +% +\settowidth{\Width}{A}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{A}\settodepth{\Depth}{A}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(5.0000,3.7500){\hspace*{\Width}\raisebox{\Height}{A}}% +% +% +\settowidth{\Width}{B}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{B}\settodepth{\Depth}{B}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(5.0000,2.2500){\hspace*{\Width}\raisebox{\Height}{B}}% +% +% +\settowidth{\Width}{C}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{C}\settodepth{\Depth}{C}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(5.0000,0.7500){\hspace*{\Width}\raisebox{\Height}{C}}% +% +% +\settowidth{\Width}{$x^2$}\setlength{\Width}{0\Width}% +\settoheight{\Height}{$x^2$}\settodepth{\Depth}{$x^2$}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(6.0500,3.7500){\hspace*{\Width}\raisebox{\Height}{$x^2$}}% +% +% +\settowidth{\Width}{$y=\sqrt{x^3}$}\setlength{\Width}{0\Width}% +\settoheight{\Height}{$y=\sqrt{x^3}$}\settodepth{\Depth}{$y=\sqrt{x^3}$}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(6.0500,2.2500){\hspace*{\Width}\raisebox{\Height}{$y=\sqrt{x^3}$}}% +% +% +\settowidth{\Width}{1}\setlength{\Width}{-0.5\Width}% 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+\settoheight{\Height}{R0}\settodepth{\Depth}{R0}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(-0.1500,4.5000){\hspace*{\Width}\raisebox{\Height}{R0}}% +% +% +\settowidth{\Width}{R1}\setlength{\Width}{-1\Width}% +\settoheight{\Height}{R1}\settodepth{\Depth}{R1}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(-0.1500,3.0000){\hspace*{\Width}\raisebox{\Height}{R1}}% +% +% +\settowidth{\Width}{R2}\setlength{\Width}{-1\Width}% +\settoheight{\Height}{R2}\settodepth{\Depth}{R2}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(-0.1500,1.5000){\hspace*{\Width}\raisebox{\Height}{R2}}% +% +% +\settowidth{\Width}{R3}\setlength{\Width}{-1\Width}% +\settoheight{\Height}{R3}\settodepth{\Depth}{R3}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(-0.1500,0.0000){\hspace*{\Width}\raisebox{\Height}{R3}}% +% 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+\put(8.4000,-0.1500){\hspace*{\Width}\raisebox{\Height}{C4}}% +% +% +\settowidth{\Width}{C5}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{C5}\settodepth{\Depth}{C5}\setlength{\Height}{-\Height}% +\put(10.0000,-0.1500){\hspace*{\Width}\raisebox{\Height}{C5}}% +% +% +\special{pa 0 -1063}\special{pa 472 -1063}% +\special{fp}% +\special{pa 472 -1063}\special{pa 945 -1063}% +\special{fp}% +\special{pa 945 -1063}\special{pa 1417 -1063}% +\special{fp}% +\special{pa 1417 -1063}\special{pa 1984 -1063}% +\special{fp}% +\special{pa 1984 -1063}\special{pa 2362 -1063}% +\special{fp}% +\special{pa 0 -709}\special{pa 472 -709}% +\special{fp}% +\special{pa 472 -709}\special{pa 945 -709}% +\special{fp}% +\special{pa 1417 -709}\special{pa 1984 -709}% +\special{fp}% +\special{pa 1984 -709}\special{pa 2362 -709}% +\special{fp}% +\special{pa 0 -354}\special{pa 472 -354}% +\special{fp}% +\special{pa 472 -354}\special{pa 945 -354}% +\special{fp}% +\special{pa 1417 -354}\special{pa 1984 -354}% +\special{fp}% +\special{pa 1984 -354}\special{pa 2362 -354}% +\special{fp}% +\special{pa 0 0}\special{pa 472 0}% +\special{fp}% +\special{pa 472 0}\special{pa 945 0}% +\special{fp}% +\special{pa 945 0}\special{pa 1417 0}% +\special{fp}% +\special{pa 1417 0}\special{pa 1984 0}% +\special{fp}% +\special{pa 1984 0}\special{pa 2362 0}% +\special{fp}% +\special{pa 0 -1063}\special{pa 0 -709}% +\special{fp}% +\special{pa 0 -709}\special{pa 0 -354}% +\special{fp}% +\special{pa 0 -354}\special{pa 0 0}% +\special{fp}% +\special{pa 472 -1063}\special{pa 472 -709}% +\special{fp}% +\special{pa 472 -354}\special{pa 472 0}% +\special{fp}% +\special{pa 945 -1063}\special{pa 945 -709}% +\special{fp}% +\special{pa 945 -709}\special{pa 945 -354}% +\special{fp}% +\special{pa 945 -354}\special{pa 945 0}% +\special{fp}% +\special{pa 1417 -1063}\special{pa 1417 -709}% +\special{fp}% +\special{pa 1417 -709}\special{pa 1417 -354}% +\special{fp}% +\special{pa 1417 -354}\special{pa 1417 0}% +\special{fp}% +\special{pa 1984 -1063}\special{pa 1984 -709}% +\special{fp}% +\special{pa 1984 -709}\special{pa 1984 -354}% +\special{fp}% +\special{pa 1984 -354}\special{pa 1984 0}% +\special{fp}% +\special{pa 2362 -1063}\special{pa 2362 -709}% +\special{fp}% +\special{pa 2362 -709}\special{pa 2362 -354}% +\special{fp}% +\special{pa 2362 -354}\special{pa 2362 0}% +\special{fp}% +\end{picture}}%
\ No newline at end of file diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/putintersect.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/putintersect.tex new file mode 100644 index 00000000000..81f6302dce0 --- /dev/null +++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/putintersect.tex @@ -0,0 +1,99 @@ +%%% fig.tex 2015-8-3 21:32 +%%% fig.sce 2015-8-3 21:32 +{\unitlength=4mm% +\begin{picture}% +( 7.06000, 7.34000)( -3.06000, -3.34000)% +\special{pn 8}% +% +\special{pa -367 526}\special{pa -365 495}\special{pa -359 429}\special{pa -353 366}% +\special{pa -348 305}\special{pa -342 247}\special{pa -337 192}\special{pa -331 139}% +\special{pa -325 88}\special{pa -320 40}\special{pa -314 -5}\special{pa -309 -49}% +\special{pa -303 -90}\special{pa -298 -128}\special{pa -292 -165}\special{pa -286 -199}% +\special{pa -281 -231}\special{pa -275 -261}\special{pa -270 -288}\special{pa -264 -314}% +\special{pa -258 -338}\special{pa -253 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-6}\special{pa 4 17}\special{pa 10 39}% +\special{pa 15 61}\special{pa 21 83}\special{pa 27 105}\special{pa 32 127}\special{pa 38 149}% +\special{pa 43 170}\special{pa 49 191}\special{pa 54 211}\special{pa 60 231}\special{pa 66 251}% +\special{pa 71 270}\special{pa 77 289}\special{pa 82 307}\special{pa 88 324}\special{pa 94 341}% +\special{pa 99 357}\special{pa 105 373}\special{pa 110 387}\special{pa 116 401}\special{pa 122 414}% +\special{pa 127 426}\special{pa 133 437}\special{pa 138 446}\special{pa 144 455}\special{pa 149 463}% +\special{pa 155 470}\special{pa 161 475}\special{pa 166 480}\special{pa 172 483}\special{pa 177 484}% +\special{pa 183 485}\special{pa 189 484}\special{pa 194 482}\special{pa 200 478}\special{pa 205 472}% +\special{pa 211 465}\special{pa 216 457}\special{pa 222 447}\special{pa 228 435}\special{pa 233 421}% +\special{pa 239 406}\special{pa 244 389}\special{pa 250 370}\special{pa 256 349}\special{pa 261 326}% +\special{pa 267 302}\special{pa 272 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-31 -125}\special{pa -24 -129}\special{pa -20 -136}\special{pa -20 -144}% +\special{pa -24 -151}\special{sh 1}\special{fp}% +\special{pa 361 -344}\special{pa 354 -348}\special{pa 346 -348}\special{pa 339 -344}% +\special{pa 335 -337}\special{pa 335 -329}\special{pa 339 -322}\special{pa 346 -317}% +\special{pa 354 -317}\special{pa 361 -322}\special{pa 366 -329}\special{pa 366 -337}% +\special{pa 361 -344}\special{sh 1}\special{fp}% +\special{pn 8}% +\special{pa -482 0}\special{pa 630 0}% +\special{fp}% +\special{pn 8}% +\special{pa 555 24}\special{pa 630 0}\special{pa 555 -24}\special{pa 555 0}\special{pa 555 24}% +\special{sh 1}\special{ip}% +\special{pn 8}% +\special{pa 555 24}\special{pa 630 0}\special{pa 555 -24}\special{pa 555 0}\special{pa 555 24}% +\special{fp}% +\special{pn 8}% +\special{pn 8}% +\special{pa 0 526}\special{pa 0 -630}% +\special{fp}% +\special{pn 8}% +\special{pa 24 -555}\special{pa 0 -630}\special{pa -24 -555}\special{pa 0 -555}\special{pa 24 -555}% +\special{sh 1}\special{ip}% +\special{pn 8}% +\special{pa 24 -555}\special{pa 0 -630}\special{pa -24 -555}\special{pa 0 -555}\special{pa 24 -555}% +\special{fp}% +\special{pn 8}% +\settowidth{\Width}{$x$}\setlength{\Width}{0\Width}% +\settoheight{\Height}{$x$}\settodepth{\Depth}{$x$}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(4.0500,0.0000){\hspace*{\Width}\raisebox{\Height}{$x$}}% +% +% +\settowidth{\Width}{$y$}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{$y$}\settodepth{\Depth}{$y$}\setlength{\Height}{\Depth}% +\put(0.0000,4.0500){\hspace*{\Width}\raisebox{\Height}{$y$}}% +% +% +\settowidth{\Width}{O}\setlength{\Width}{-1\Width}% +\settoheight{\Height}{O}\settodepth{\Depth}{O}\setlength{\Height}{-\Height}% +\put(-0.0500,-0.0500){\hspace*{\Width}\raisebox{\Height}{O}}% +% +% +\end{picture}}%
\ No newline at end of file diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/putoncurve.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/putoncurve.tex new file mode 100644 index 00000000000..0cfce6b3d4b --- /dev/null +++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/putoncurve.tex @@ -0,0 +1,48 @@ +%%% putoncurve.tex 2014-11-10 16:31
+%%% partcrv.sce 2014-11-10 13:44
+{\unitlength=1cm%
+\begin{picture}%
+( 6.00000, 6.00000)( -3.00000, -3.00000)%
+\special{pn 8}%
+%
+\special{pa -383 -188}\special{pa -390 -192}\special{pa -398 -192}\special{pa -405 -188}%
+\special{pa -409 -181}\special{pa -409 -173}\special{pa -405 -166}\special{pa -398 -162}%
+\special{pa -390 -162}\special{pa -383 -166}\special{pa -378 -173}\special{pa -378 -181}%
+\special{pa -383 -188}\special{sh 1}\special{fp}%
+\settowidth{\Width}{P}\setlength{\Width}{-1\Width}%
+\settoheight{\Height}{P}\settodepth{\Depth}{P}\setlength{\Height}{\Depth}%
+\put(-1.0500,0.5000){\hspace*{\Width}\raisebox{\Height}{P}}%
+%
+%
+\special{pa 787 0}\special{pa 768 -2}\special{pa 713 -13}\special{pa 627 -42}\special{pa 521 -93}%
+\special{pa 405 -168}\special{pa 292 -265}\special{pa 191 -376}\special{pa 110 -492}%
+\special{pa 52 -602}\special{pa 18 -694}\special{pa 3 -758}\special{pa 0 -786}\special{pa -1 -777}%
+\special{pa -9 -730}\special{pa -32 -651}\special{pa -78 -549}\special{pa -147 -434}%
+\special{pa -239 -319}\special{pa -348 -214}\special{pa -464 -128}\special{pa -576 -64}%
+\special{pa -673 -25}\special{pa -745 -6}\special{pa -783 0}\special{pa -783 0}\special{pa -745 6}%
+\special{pa -673 25}\special{pa -576 64}\special{pa -464 128}\special{pa -348 214}%
+\special{pa -239 319}\special{pa -147 434}\special{pa -78 549}\special{pa -32 651}%
+\special{pa -9 730}\special{pa -1 777}\special{pa 0 786}\special{pa 3 758}\special{pa 18 694}%
+\special{pa 52 602}\special{pa 110 492}\special{pa 191 376}\special{pa 292 265}\special{pa 405 168}%
+\special{pa 521 93}\special{pa 627 42}\special{pa 713 13}\special{pa 768 2}\special{pa 787 0}%
+\special{fp}%
+\special{pa -1181 0}\special{pa 1181 0}%
+\special{fp}%
+\special{pa 0 1181}\special{pa 0 -1181}%
+\special{fp}%
+\settowidth{\Width}{$x$}\setlength{\Width}{0\Width}%
+\settoheight{\Height}{$x$}\settodepth{\Depth}{$x$}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}%
+\put(3.0500,0.0000){\hspace*{\Width}\raisebox{\Height}{$x$}}%
+%
+%
+\settowidth{\Width}{$y$}\setlength{\Width}{-0.5\Width}%
+\settoheight{\Height}{$y$}\settodepth{\Depth}{$y$}\setlength{\Height}{\Depth}%
+\put(0.0000,3.0500){\hspace*{\Width}\raisebox{\Height}{$y$}}%
+%
+%
+\settowidth{\Width}{O}\setlength{\Width}{-1\Width}%
+\settoheight{\Height}{O}\settodepth{\Depth}{O}\setlength{\Height}{-\Height}%
+\put(-0.0500,-0.0500){\hspace*{\Width}\raisebox{\Height}{O}}%
+%
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751 -574}\special{pa 771 -537}\special{pa 795 -503}\special{pa 823 -472}% +\special{pa 855 -444}\special{pa 890 -421}\special{pa 927 -403}\special{pa 967 -389}% +\special{pa 1008 -380}\special{pa 1050 -377}\special{pa 1092 -379}\special{pa 1133 -386}% +\special{pa 1173 -398}\special{pa 1211 -415}\special{pa 1247 -437}\special{pa 1280 -463}% +\special{pa 1309 -493}\special{pa 1335 -527}\special{pa 1355 -563}\special{pa 1372 -602}% +\special{pa 1383 -642}\special{pa 1389 -684}\special{pa 1390 -726}\special{pa 1385 -768}% +\special{pa 1375 -808}\special{pa 1361 -848}\special{pa 1341 -885}\special{pa 1317 -919}% +\special{pa 1289 -950}\special{pa 1257 -978}\special{pa 1222 -1001}% +\special{fp}% +\special{pn 8}% +\special{pa -773 194}\special{pa -741 172}\special{fp}\special{pa -711 147}\special{pa -706 143}\special{pa -684 119}\special{fp}% +\special{pa -661 88}\special{pa -654 78}\special{pa -642 54}\special{fp}\special{pa -626 19}\special{pa -620 1}\special{pa -615 -18}\special{fp}% 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\ No newline at end of file diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/rotatepoint.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/rotatepoint.tex new file mode 100644 index 00000000000..882a741c164 --- /dev/null +++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/rotatepoint.tex @@ -0,0 +1,140 @@ +%%% test.tex 2014-12-3 8:22 +%%% test.sce 2014-12-3 8:22 +{\unitlength=6mm% +\begin{picture}% +( 8.04000, 8.12000)( -1.20000, -1.96000)% +\special{pn 8}% +% +\special{pa 1189 -481}\special{pa 1183 -484}\special{pa 1176 -483}\special{pa 1171 -478}% +\special{pa 1169 -471}\special{pa 1173 -464}\special{pa 1179 -461}\special{pa 1186 -462}% +\special{pa 1192 -467}\special{pa 1193 -474}\special{pa 1189 -481}\special{sh 1}\special{fp}% +\special{pa 245 -245}\special{pa 238 -248}\special{pa 231 -247}\special{pa 226 -242}% +\special{pa 225 -234}\special{pa 228 -228}\special{pa 234 -225}\special{pa 242 -226}% +\special{pa 247 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\ No newline at end of file diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/KeTCindyReferenceJ.pdf b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/KeTCindyReferenceJ.pdf Binary files differnew file mode 100644 index 00000000000..9915d80d6fa --- /dev/null +++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/KeTCindyReferenceJ.pdf diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/KeTCindyReferenceJ.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/KeTCindyReferenceJ.tex new file mode 100644 index 00000000000..7c2eb7564fc --- /dev/null +++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/KeTCindyReferenceJ.tex @@ -0,0 +1,5842 @@ +\documentclass[papersize,a4paper,12pt,uplatex]{jsarticle} +\usepackage{ketpic,ketlayer} +\usepackage{amsmath} +\usepackage{newtxmath} +\usepackage[dvipdfmx]{graphicx,color} +\usepackage{wrapfig} +\usepackage[dvipdfmx,bookmarks=false,colorlinks=true,linkcolor=blue]{hyperref} +\setmargin{20}{20}{15}{25} +\usepackage{setspace} + + +\begin{document} +\title{\ketcindy リファレンスマニュアル} +\author{\ketcindy\ Project Team} +\maketitle + + +\tableofcontents + +\newpage + + +\section{\ketcindy ã«ã¤ã„ã¦} +\subsection{システムã®æ§‹æˆ} +\ketcindy ã¯ï¼ŒCinderella ã§ã®ä½œå›³ãƒ‡ãƒ¼ã‚¿ã‚’Scilab版 \ketpic ã«æ¸¡ã—,\LaTeX ファイルを作æˆã™ã‚‹ãŸã‚ã®ã‚¹ã‚¯ãƒªãƒ—トライブラリã§ã‚る。Cinderella ã«ã‚ˆã‚‹ã‚¤ãƒ³ã‚¿ãƒ©ã‚¯ãƒ†ã‚£ãƒ–ãªä½œå›³æ©Ÿèƒ½ã¨ï¼ŒCindyScript ã«ã‚ˆã‚‹ãƒ—ãƒã‚°ãƒ©ãƒŸãƒ³ã‚°ã«ã‚ˆã‚Šï¼Œ\LaTeX 文書ã®æŒ¿å…¥å›³ã‚’効率よã作æˆã™ã‚‹ã“ã¨ãŒã§ãる。ã¾ãŸï¼ŒR,Maxima,Risa/Asirãªã©ã®æ•°å¼å‡¦ç†ã‚½ãƒ•ãƒˆã¨é€£æºã—ã¦è¨ˆç®—ã‚’è¡Œã†ã“ã¨ãŒã§ãる。 + +\input{Fig/concept} + + Cinderellaã§ä½œå›³ã—ãŸå›³ã®ãƒ‡ãƒ¼ã‚¿ã¯ï¼ŒScilabã®ãƒ•ã‚¡ã‚¤ãƒ«ï¼ˆæ‹¡å¼µå sci)ã«æ›¸ã出ã•ã‚Œã‚‹ã€‚ã“れをScilabã§å‡¦ç†ã—ã¦\TeX ファイルを作æˆã™ã‚‹ï¼ˆ Scilab版 \ketpic)。ã§ããŸ\TeX ファイルを,本文ä¸ã« inputコマンド ã§æŒ¿å…¥ã™ã‚Œã°å›³ãŒè¡¨ç¤ºã•ã‚Œã‚‹ã€‚\\ + Cinderellaã¨Scilabã‚„ãã®ä»–ã®ã‚½ãƒ•ãƒˆã‚¦ã‚§ã‚¢ã¨ã®é€£æºã«ã¯ï¼Œãƒãƒƒãƒãƒ•ã‚¡ã‚¤ãƒ«ï¼ˆMacã§ã¯ã‚·ã‚§ãƒ«ãƒ•ã‚¡ã‚¤ãƒ«ï¼‰ã‚’用ã„ã¦ã„る。(概念図ã®ä¸¡æ–¹å‘矢å°) ãƒãƒƒãƒãƒ•ã‚¡ã‚¤ãƒ«ã¯ kc.bat,シェルファイル㯠kc.sh ã§ï¼ŒKeTCindy ãŒç›®çš„ã«å¿œã˜ã¦ã“れらã®ãƒ•ã‚¡ã‚¤ãƒ«ã‚’書ã出ã—,プラグイン KetCindyPlugin.jar ã§ãれらを実行ã™ã‚‹æ‰‹é †ã«ãªã£ã¦ã„る。\\ + \\ +\subsection{Cindyscriptã®ã‚¹ãƒãƒƒãƒˆã®æ¦‚念} +Cindyscriptã¯Cinderellaã®ãƒ—ãƒã‚°ãƒ©ãƒŸãƒ³ã‚°è¨€èªžã§ï¼Œã‚¹ã‚¯ãƒªãƒ—トエディタã§è¨˜è¿°ã™ã‚‹ã€‚スクリプトエディタã¯ï¼Œã€Œã‚¹ã‚¯ãƒªãƒ—トã€ãƒ¡ãƒ‹ãƒ¥ãƒ¼ã®ã€ŒCindyscriptã€ã‚’é¸æŠžã—ã¦é–‹ãã‹ï¼ŒCtrl+9 (Windows) / ⌘+9 (Mac) ã§é–‹ã。\\ + スクリプトエディタã®å·¦æ–¹ã«ä¸¦ã‚“ã§ã„るフォルダアイコンã®ãƒ¡ãƒ‹ãƒ¥ãƒ¼é¢¨ã®ã‚‚ã®ã‚’「スãƒãƒƒãƒˆã€ã¨ã„ã„,Cindyscriptã®å®Ÿè¡Œã‚¿ã‚¤ãƒŸãƒ³ã‚°ã«ã‚ˆã‚Šã‚¹ã‚¯ãƒªãƒ—トを書ã分ã‘ã‚‹ã“ã¨ãŒã§ãる。通常㯠Initialzation スãƒãƒƒãƒˆã¨ Draw スãƒãƒƒãƒˆã‚’使ã†ã€‚\\ + Initialzation スãƒãƒƒãƒˆã¯ï¼Œã‚¹ã‚¯ãƒªãƒ—トを実行ã™ã‚‹ã¨æœ€åˆã«ä¸€åº¦ã ã‘実行ã•ã‚Œã‚‹ã€‚従ã£ã¦ï¼Œé–¢æ•°å®šç¾©ã‚„変数ã®åˆæœŸè¨å®šãªã©ã‚’書ã。ã²ãªå½¢ã‚„サンプル㮠cdy ファイルã§ã¯ã“ã“ã« KETlib ã¨ã„ã†ãƒšãƒ¼ã‚¸ãŒã‚り,パスåã®è¨å®šã‚„ライブラリã®èªã¿è¾¼ã¿ãªã©ï¼ŒKeTCindyã®åˆæœŸè¨å®šã«é–¢ã™ã‚‹è¨˜è¿°ãŒã‚る。\\ + Draw スãƒãƒƒãƒˆã¯ï¼ŒCinderellaã®ç”»é¢ä¸Šã§ãªã«ã‹æ“作ãŒè¡Œã‚れるãŸã³ã«å®Ÿè¡Œã•ã‚Œã‚‹ã€‚通常ã¯ã“ã“ã«ã‚¹ã‚¯ãƒªãƒ—トを書ã。ã²ãªå½¢ã®cdyファイルã§ã¯ï¼ŒKetinit() ãªã©ãŒè¨˜è¿°ã•ã‚ŒãŸ figures ページãŒç”¨æ„ã•ã‚Œã¦ã„る。\\ + \\ +    \includegraphics[bb=0 0 1076 392 , width=10cm]{Fig/slot.png}\\ + \\ + 1ã¤ã®ã‚¹ãƒãƒƒãƒˆã«è¤‡æ•°ã®ãƒšãƒ¼ã‚¸ã‚’作るã“ã¨ãŒã§ãる。KETlib以外ã«åˆæœŸè¨å®šã®ã‚¹ã‚¯ãƒªãƒ—トを書ãå ´åˆã¯ï¼ŒInitialzation スãƒãƒƒãƒˆã«æ–°ã—ã„ページを作るã®ãŒã‚ˆã„。\\ + + +\subsection{プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿} +プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿(Plot Data) ã¨ã¯ï¼Œé–¢æ•°ã®ã‚°ãƒ©ãƒ•ã‚„幾何è¦ç´ ã‚’æãデータã®ã“ã¨ã§ã‚り,KeTCindyã®å‡¦ç†ã®ä¸æ ¸ã‚’ãªã—ã¦ã„る。本マニュアルã§ã¯ PD ã¨ç•¥ã™ã“ã¨ãŒã‚る。ãŸã¨ãˆã°æ›²ç·šã¯ï¼Œæ画範囲を分割ã—ã¦ç·šåˆ†ã®é›†ã¾ã‚Šã¨ã—ã¦æç”»ã—ã¦ãŠã‚Šï¼Œã“ã®ã¨ãã®ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã¯ãれらã®ç·šåˆ†ã®ç«¯ç‚¹ã®ãƒªã‚¹ãƒˆã§ã‚る。\\ + プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã®å称ã¯KeTCindyãŒè‡ªå‹•çš„ã«å‘½åã™ã‚‹ã€‚ãã®å‘½åè¦å‰‡ã¯æ¬¡ã®é€šã‚Šã§ã‚る。\\ +\\ +・å称ã®é 部ã¯ï¼Œãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã‚’作æˆã™ã‚‹é–¢æ•°ã”ã¨ã«æ±ºã¾ã£ã¦ã„る。\\ +・第1引数㫠name ãŒä¸Žãˆã‚‰ã‚Œã‚‹å ´åˆï¼Œname ã‚’é 部ã«ä»˜åŠ ã™ã‚‹ã€‚\\ +   例:\verb|Listplot("1",[[0,0],[1,2]]);| ã®ã¨ã,sg1\\ +・関数ã«ã‚ˆã£ã¦ã¯ï¼Œç¬¬ï¼‘引数㮠name ã‚’ç•¥ã™ã“ã¨ãŒã§ãる。ã“ã®å ´åˆï¼Œå¼•æ•°ã§ç”¨ã„られãŸç‚¹ã®åå‰ã‚’é 部ã«ä»˜åŠ ã™ã‚‹ã€‚\\ +   例:\verb|Listplot([A,B,C]);|    ã®ã¨ã,sgABC\\ + \\ + プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã‚’生æˆã—ãŸã¨ãã¯ï¼ŒCindyscriptエディタã®ã‚³ãƒ³ã‚½ãƒ¼ãƒ«ã«ãã®å称を表示ã™ã‚‹ã€‚上ã®ä¾‹ã§ã¯ï¼Œ\\ +    \verb|generate Listplot sgABC|\\ +ã¨è¡¨ç¤ºã•ã‚Œã‚‹ã€‚プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã‚’æ“作ã™ã‚‹é–¢æ•°ã§ã¯ï¼Œã“ã®PDã®å称を用ã„る。\\ + プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã®å†…容を知りãŸã„å ´åˆã¯ï¼ŒCindyscriptã®\\ +    println(プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿å)\\ +ã§ã‚³ãƒ³ã‚½ãƒ¼ãƒ«ã«è¡¨ç¤ºã™ã‚‹ã“ã¨ãŒã§ãる。\\ + プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã¯ï¼ŒCindyscriptã«ã‚ˆã‚‹ãƒ—ãƒã‚°ãƒ©ãƒ ã§ä½œæˆã—ã¦ãれをKeTCindyã§åˆ©ç”¨ã™ã‚‹ã“ã¨ã‚‚ã§ãる。Listplot()ã®ä¾‹ã‚’å‚ç…§ã®ã“ã¨ã€‚ãŸã ã—,è¦ç´ ã®æ•°ãŒå¤§ãã„ã¨Scilabã§ã‚¨ãƒ©ãƒ¼ã¨ãªã‚‹ã®ã§ï¼Œï¼‘ã¤ã®ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã®è¦ç´ ã¯200程度ã¨ã™ã‚‹ã®ãŒã‚ˆã„。ã“れより多ã„å ´åˆã¯åˆ†å‰²ã™ã‚‹ã€‚\\ + +\subsection{Cinderellaã®ä½œå›³ãƒ„ール} +  \\ +\includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/move.png}  動ã‹ã™ãƒ¢ãƒ¼ãƒ‰ï¼ˆé¸æŠžãƒ¢ãƒ¼ãƒ‰ï¼‰ã«ã™ã‚‹ï¼šæ¨™æº–状態\\ +\includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/single-add.png}ã€€ã€€ç‚¹ã‚’åŠ ãˆã‚‹\\ +\includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/multi-add-line.png}ã€€ã€€ç›´ç·šã‚’åŠ ãˆã‚‹\\ +\includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/segment.png}ã€€ã€€ç·šåˆ†ã‚’åŠ ãˆã‚‹\\ +\includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/middle.png}  ä¸ç‚¹ã‚’åŠ ãˆã‚‹\\ +\includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/intersection.png}ã€€ã€€äº¤ç‚¹ã‚’åŠ ãˆã‚‹\\ +\includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/multi-add-parallel.png}ã€€ã€€å¹³è¡Œç·šã‚’åŠ ãˆã‚‹\\ +\includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/multi-add-perp.png}ã€€ã€€åž‚ç·šã‚’åŠ ãˆã‚‹\\ +\includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/bisector.png}  角ã®äºŒç‰åˆ†ç·šã‚’åŠ ãˆã‚‹\\ +\includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/multi-add-circle.png}ã€€ã€€å††ã‚’åŠ ãˆã‚‹\\ +\includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/circle-by-radius.png}  åŠå¾„ã¤ãå††ã‚’åŠ ãˆã‚‹\\ +\includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/ellipse-by-foci.png}  焦点ã¨é€šã‚‹ç‚¹ã§æ±ºã¾ã‚‹æ¥•å††\\ +\includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/hyperbola-by-foci.png}  焦点ã¨é€šã‚‹ç‚¹ã§æ±ºã¾ã‚‹åŒæ›²ç·š\\ +\includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/parabola-by-foci.png}  焦点ã¨æº–ç·šã§æ±ºã¾ã‚‹æ”¾ç‰©ç·š\\ +\includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/polygon.png}ã€€ã€€å¤šè§’å½¢ã‚’åŠ ãˆã‚‹\\ +\includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/angle-mark.png}  角ã«å°ã‚’ã¤ã‘ã‚‹\\ +\includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/angle.png}  角度を測る\\ +\includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/delete.png}  é¸æŠžã—ãŸè¦ç´ を消去ã™ã‚‹\\ +\includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/select-points.png}  点をã¾ã¨ã‚ã¦é¸æŠžã™ã‚‹\\ +\includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/select-lines.png}  線分をã¾ã¨ã‚ã¦é¸æŠžã™ã‚‹\\ + \\ +è¨å®šãƒ¡ãƒ‹ãƒ¥ãƒ¼ã‹ã‚‰ã€Œä¸Šã®ãƒ„ールãƒãƒ¼ã®ã‚«ã‚¹ã‚¿ãƒžã‚¤ã‚ºã€ã‚’é¸ã³ï¼Œã€Œã™ã¹ã¦è¡¨ç¤ºã€ã«ã™ã‚‹ã¨ç¾ã‚Œã‚‹ãƒ„ール\\ +\includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/mirror.png}  é¡æ˜ \\ +\includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/polar-of-point.png}  点ã®æ¥µç·šã‚’æã\\ + \\ +ç”»é¢ãƒ„ール(下ã®ãƒ„ールãƒãƒ¼ï¼‰\\ +\includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/translate-view.png}  原点を移動ã™ã‚‹\\ +\includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/zoom-in.png}ã€€ã€€çŸ©å½¢é ˜åŸŸã‚’ç”»é¢ã‚µã‚¤ã‚ºã«æ‹¡å¤§\\ +\includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/zoom-out.png}  画é¢ã‚’çŸ©å½¢é ˜åŸŸã‚µã‚¤ã‚ºã«ç¸®å°\\ +\includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/snap.png}  軸ã¨æ–¹çœ¼ã‚’表示ã—æ ¼å点ã«ã‚¹ãƒŠãƒƒãƒ—ã™ã‚‹\\ + +\subsection{用語解説} +インシデント\\ + 点ãŒæ›²ç·šä¸Šã«ä¹—ã£ã¦ã„る状態を表ã™ã€‚\\ +インスペクタ\\ + 幾何è¦ç´ ã®å±žæ€§ãªã©ã‚’管ç†ã™ã‚‹ã‚¦ã‚£ãƒ³ãƒ‰ã‚¦ã€‚\\ +幾何è¦ç´   \\ + Cinderellaã®ä½œå›³ãƒ„ールã§ä½œå›³ã—ãŸç‚¹ã‚„ç›´ç·šãªã©ã®è¦ç´ \\ +幾何点 \\ + 幾何è¦ç´ ã¨ã—ã¦ã®ç‚¹ã€‚マウスドラッグã§å‹•ã‹ã™ã“ã¨ãŒã§ãる。\\ +固定点\\ + マウスドラッグã§ç§»å‹•ã™ã‚‹ã“ã¨ã®ã§ããªã„点\\ +コンソール\\ + スクリプトエディタã®å³ä¸‹ã®ã‚¨ãƒªã‚¢ã€‚\\ +自由点\\ + マウスドラッグã§ä»»æ„ã«å‹•ã‹ã™ã“ã¨ã®ã§ãる点。\\ +スãƒãƒƒãƒˆã€€ã€€\\ + Cindyscriptã§ï¼Œã‚¹ã‚¯ãƒªãƒ—トを書ãã¨ã,実行タイミングã«ã‚ˆã‚Šã«åˆ†é¡žã™ã‚‹ã‚‚ã®\\ +スナップ \\ + マウスãƒã‚¤ãƒ³ãƒˆãŒæ ¼å点ã®è¿‘ãã«æ¥ã‚‹ã¨æ ¼å点上ã«ã´ã£ãŸã‚Šç§»å‹•ã™ã‚‹ã€‚\\ + Cinderellaã®ç”»é¢ã®ä¸‹æ–¹ãƒ„ールã®ã†ã¡ï¼Œç£çŸ³ã‚¢ã‚¤ã‚³ãƒ³ã«ã‚ˆã‚Šã“ã®ãƒ¢ãƒ¼ãƒ‰ã«ãªã‚‹ã€‚\\ + +\newpage +%======================= +\section{定数ã¨å¤‰æ•°} +KeTCindy 㯠Cindyscript ã§è¨˜è¿°ã•ã‚Œã¦ã„る。CindyScriptã§ã¯ï¼Œå¤‰æ•°åã¯å¤§æ–‡å—ã¨å°æ–‡å—を区別ã™ã‚‹ãŒï¼Œé–¢æ•°åã¯å¤§æ–‡å—å°æ–‡å—を区別ã—ãªã„。Cindyscriptã®ãƒžãƒ‹ãƒ¥ã‚¢ãƒ«ã§ã¯çµ„ã¿è¾¼ã¿é–¢æ•°åã¯ã™ã¹ã¦å°æ–‡å—ã§è¡¨è¨˜ã•ã‚Œã¦ã„る。例示ã•ã‚ŒãŸã‚¹ã‚¯ãƒªãƒ—トã§ã¯ï¼Œå¤‰æ•°ã‚‚å°æ–‡å—ã§ã‚る。ãã“ã§ï¼ŒKeTCindyã§ã¯ï¼Œçµ„ã¿è¾¼ã¿ã®å¤‰æ•°å・関数åã¨åŒºåˆ¥ã—ã‚„ã™ã„よã†ã«ï¼Œæ¬¡ã®è¦å‰‡ã«ã‚ˆã‚Šåå‰ã‚’付ã‘ã¦ã„る。\\ + \\ + ・グãƒãƒ¼ãƒãƒ«ãªå¤‰æ•°ã¯ã™ã¹ã¦å¤§æ–‡å—ã‹ï¼Œå¤§æ–‡å—ã§å§‹ã¾ã‚‹ã‚‚ã®ã¨ã™ã‚‹ã€‚\\ + ・局所変数ã¯å°æ–‡å—ã§ï¼Œé–¢æ•°å®šç¾©ã®å†’é 㧠regional() ã«ã‚ˆã‚Šå±€æ‰€å¤‰æ•°ã¨ã—ã¦å®£è¨€ã™ã‚‹ã€‚\\ + ・関数åã¯å¤§æ–‡å—ã§å§‹ã¾ã‚‹ã€‚\\ + \\ + ãªãŠï¼ŒCindyScriptã¯é–¢æ•°åž‹ãƒ—ãƒã‚°ãƒ©ãƒŸãƒ³ã‚°è¨€èªžã§ã‚り,命令ã¯ã™ã¹ã¦é–¢æ•°ã‚’用ã„ã¦è¡Œã‚れるãŒï¼Œæœ¬ãƒžãƒ‹ãƒ¥ã‚¢ãƒ«ã§ã¯ï¼Œæ–‡è„ˆã«ã‚ˆã‚Šã€Œã‚³ãƒžãƒ³ãƒ‰ã€ã¨ã„ã†è¡¨ç¾ã‚‚用ã„る。\\ + \\ +{\bf 定数} \\ + ã¤ãŽã®ã‚‚ã®ãŒCindyScriptã«äºˆç´„ã•ã‚Œã¦ãŠã‚Šï¼Œå°æ–‡å—ã§è¡¨ã•ã‚Œã¦ã„る。\\ + +\begin{tabbing} +12345678\=\kill +  pi  \>:円周率。Scilabã«ã¯ \% pi ã§æ›¸ã出ã•ã‚Œã‚‹ã€‚\\ +  i  \> :虚数å˜ä½ã€‚Scilabã«ã¯ \% i ã§æ›¸ã出ã•ã‚Œã‚‹ã€‚\\ +\end{tabbing} + 一般ã®ãƒ—ãƒã‚°ãƒ©ãƒŸãƒ³ã‚°ã§ã¯å¤‰æ•° i をループ変数ã¨ã—ã¦ã‚ˆã使ã†ãŒï¼ŒCindyScript ã§ã¯ i ã¯äºˆç´„定数ã¨è€ƒãˆï¼Œå¤‰æ•°ã¨ã—ã¦ç”¨ã„ãªã„ã“ã¨ã‚’勧ã‚る。ãŸã ã—,変数ã¨ã—ã¦ã¾ã£ãŸã使ãˆãªã„ã‚ã‘ã§ã¯ãªã,変数ã¨ã—ã¦ç”¨ã„ãŸå¾Œï¼Œå¿…è¦ãŒã‚ã‚Œã°ã€€\verb|i=complex([0,1])|  を実行ã™ã‚‹ã“ã¨ã«ã‚ˆã‚Šè™šæ•°å˜ä½ã¨ã—ã¦å†å®šç¾©ã™ã‚‹ã“ã¨ãŒã§ãる。\\ + \\ +{\bf 予約変数}\\ + KeTCindy ãŒå†…部的ã«ä½¿ç”¨ã™ã‚‹äºˆç´„変数ãŒã‚る。ãã®ã†ã¡æ¬¡ã®ã‚‚ã®ã¯ãƒ¦ãƒ¼ã‚¶ãƒ¼ãŒå€¤ã‚’変更ã¾ãŸã¯è¨å®šã™ã‚‹ã“ã¨ãŒã§ãる。è¨å®šã¯ Initalization スãƒãƒƒãƒˆã®ã€ŒKETlibã€ãƒšãƒ¼ã‚¸ã§ãŠã“ãªã†ãŒï¼ŒFhead ã¨Texparent 㯠Draw スãƒãƒƒãƒˆã§ã‚‚よã„。\\ +\begin{tabbing} +1234567890123\=45678989012345678901234567890123\=\kill + Fhead \>書ã出ã•ã‚Œã‚‹ãƒ•ã‚¡ã‚¤ãƒ«åã®é 部\\ + Texparent \>親プãƒã‚»ã‚¹ã®ãƒ•ã‚¡ã‚¤ãƒ«å\\ + Dirhead \>パスã®é 部\\ + Dirlib \>ライブラリ ketlib ã®ãƒ‘ス\\ + Dirbin \>ketbin ã®ãƒ‘ス\\ + Dirwork \>作æ¥ãƒ‡ã‚£ãƒ¬ã‚¯ãƒˆãƒªã®ãƒ‘ス\\ + Shellfile \>シェルファイルå\\ +\end{tabbing} + 以下ã®äºˆç´„変数ã¯ï¼Œãƒ©ã‚¤ãƒ–ラリãŒä½¿ç”¨ã™ã‚‹ã‚°ãƒãƒ¼ãƒãƒ«å¤‰æ•°ã§ã‚ã‚‹ã®ã§ï¼Œãƒ¦ãƒ¼ã‚¶ãƒ¼ã¯ã“れらã®å¤‰æ•°åを使ã£ã¦ã¯ã„ã‘ãªã„。ãªãŠï¼Œå¤‰æ•°ã¯å¤§æ–‡å—å°æ–‡å—を区別ã™ã‚‹ã®ã§ï¼Œå°æ–‡å—ã§æ›¸ã分ã«ã¯æ”¯éšœã¯ãªã„。ã—ãŸãŒã£ã¦ï¼Œãƒ¦ãƒ¼ã‚¶ãƒ¼ãŒä½œã‚‹ãƒ—ãƒã‚°ãƒ©ãƒ ã§ã¯ï¼Œã™ã¹ã¦å°æ–‡å—ã‹ï¼Œå…ˆé ã ã‘ãŒå¤§æ–‡å—ã®å¤‰æ•°ã‚’使ã†ã“ã¨ã‚’勧ã‚る。\\ + \\ +ADDAXES, ArrowlineNumber, ArrowheadNumber, BezierNumber,\\ +COM0thlist, COM1stlist, COM2ndlist, Dq, FUNLIST,\\ +Fnamesc ,Fnamescibody,Fnameout,Fnametex,GDATALIST,\\ +GLIST, GCLIST, GOUTLIST, KCOLOR, KETPICCOUNT, \\ +KETPICLAYER, LETTERlist, LFmark, MilliIn, PenThick, \\ +PenThickInit, POUTLIST, SCALEX, SCALEY, SCIRELIST, \\ +SCIWRLIST, TenSize, TenSizeInit, ULEN, XMAX, XMIN, YaSize,\\ +YaThick, YMAX, YMIN, VLIST + +\newpage + +%è¨å®šãƒ»å®šç¾© ================================== +\section{関数リファレンス} +\subsection{è¨å®šãƒ»å®šç¾©} + +\begin{description} + +\hypertarget{addax}{} +\item[関数] Addax(0ã¾ãŸã¯1) +\item[機能] 座標軸を書ãã‹ã©ã†ã‹ã‚’定ã‚ã‚‹ +\item[説明] Scilabã®Closefile() ã®å¼•æ•°ã«å¯¾å¿œã™ã‚‹ã€‚\\ + 引数ãŒ0ã®ã¨ã座標軸を書ã‹ãªã„(デフォルトã¯1) +\begin{verbatim} + Listplot([B,A,C]); + Letter([A,"ne","A",B,"se","B",C,"se","C"]); +\end{verbatim} + \\ + \input{Fig/addax1} +\begin{verbatim} + Listplot([B,A,C,B]); + Letter([A,"ne","A",B,"sw","B",C,"se","C"]); + Addax(0); +\end{verbatim} + \input{Fig/addax2}\\ +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} + \\ +\hypertarget{addcolor}{} +\item[関数] Addcolor(æ画コマンド , カラーコード) +\item[機能] æ画コマンドã§æã‹ã‚Œã‚‹ç·šã‚’指定色ã§æã +\item[説明] æ画コマンドã¯ãƒ€ãƒ–ルクウォートã§ããã£ã¦æ–‡å—列ã¨ã™ã‚‹ã€‚æ画コマンド内ã«ãƒ€ãƒ–ルクウォートãŒã‚ã‚‹å ´åˆã¯ï¼Œã‚·ãƒ³ã‚°ãƒ«ã‚¯ã‚¦ã‚©ãƒ¼ãƒˆã«ã™ã‚‹ã€‚optionã®ã‚ã‚‹æ画コマンドã§optionを指定ã—ãªã„å ´åˆã¯ï¼Œå¿…ãšç©ºãƒªã‚¹ãƒˆã‚’optionã¨ã—ã¦æ›¸ã。æ画色ã¯ï¼ŒRGBã¾ãŸã¯CMYK。æ画色ã¯ç”»é¢ã¨å›³ç‰ˆã®ä¸¡æ–¹ã«æœ‰åŠ¹ã€‚\\ + \\ + 例:\verb|Addcolor("Plotdata('2','x^2','x',[])",[1,1,0]);|\\ + \\ + \\ +\hypertarget{colorcode}{} +\item[関数] Colorcode(æ–‡å—1,æ–‡å—2, カラーコード) +\item[機能] 文å—1ã‹ã‚‰æ–‡å—ï¼’ã¸ã‚«ãƒ©ãƒ¼ã‚³ãƒ¼ãƒ‰ã‚’変æ›ã™ã‚‹ã€‚戻り値ã¯å¤‰æ›ã•ã‚ŒãŸã‚³ãƒ¼ãƒ‰ã€‚ +\item[説明] 文å—ã¯ï¼Œ"rgb","cmyk","hsv"ã®ã„ãšã‚Œã‹ã€‚\\ + \\ +例:\verb|Colorcode("rgb","cmyk",[1,0,0]); |\\ +     RGBコードã®[1,0,0]ã‚’CMYKã«å¤‰æ›ã—ãŸã‚³ãƒ¼ãƒ‰ã‚’è¿”ã™\\ +  \verb|Colorcode("cmyk","rgb",[0,1,1,0]);|\\ +    CMYKコードã®[0,1,1,0]ã‚’RGBã«å¤‰æ›ã—ãŸã‚³ãƒ¼ãƒ‰ã‚’è¿”ã™\\ +  \verb|Colorcode("rgb","hsv",[1,0,0]);|\\ +    RGBコードã®[1,0,0]ã‚’HSVã«å¤‰æ›ã—ãŸã‚³ãƒ¼ãƒ‰ã‚’è¿”ã™\\ + \\ + \\ +\hypertarget{deffun}{} +\item[関数] Deffun(関数å , 定義ã®ãƒªã‚¹ãƒˆ) +\item[機能] 関数を定義ã™ã‚‹ +\item[説明] 関数定義ã¯ï¼ŒCindyScript ã®é–¢æ•°å®šç¾© f(x):=å¼ ã§ã‚‚ã§ãã‚‹ãŒï¼ŒDeffun()を使ã†ã“ã¨ã«ã‚ˆã‚Šï¼ŒScilab å´ã«æ¸¡ã™ãƒ•ã‚¡ã‚¤ãƒ«ã«\\ + function 定義å¼ã€€endfunction;\\ + ãŒè¨˜è¿°ã•ã‚Œã‚‹ã®ã§ï¼ŒScilabå´ã§ã“ã®é–¢æ•°ã‚’利用ã™ã‚‹ã“ã¨ãŒã§ãる。目的ã«å¿œã˜ã¦ä½¿ã„分ã‘ã‚‹ã¨ã‚ˆã„。\\ + å¼ã®ãƒªã‚¹ãƒˆã«ã¯ if文を用ã„ãŸå ´åˆåˆ†ã‘ã®é–¢æ•°å¼ã‚’記述ã™ã‚‹ã“ã¨ã‚‚ã§ãる。\\ + \\ +例:$f(x)=\dfrac{1}{x^2+1}$ を定義ã—,グラフをæã„ã¦x=1 ã«ãŠã‘る微分係数を求ã‚る。 +\begin{verbatim} +   Deffun("f(x)",["regional(y)","y=1/(x\verb|^|2+1)","y"]); +   Plotdata("1","f(x)","x"); +   coeff=Derivative("f(x)","x",1); +\end{verbatim} +  点Aを作図ã—ã¦ãŠãã¨ï¼Œç‚¹Aをドラッグã—ãŸã¨ã常ã«æ›²ç·šä¸Šã«ä¹—ã›ï¼Œãã®ç‚¹ã§ã®\\ +  接線を引ãã“ã¨ãŒã§ãる。 +\begin{verbatim} +   A.xy=[A.x,f(A.x)]; +   coeff=Derivative("f(x)","x",A.x); +   Lineplot("1",[A,[A.x+1,A.y+coeff]]); +\end{verbatim} +     \input{Fig/deffun}\\ + + 例:$f(x)=\left\{\begin{array}{l}1  (x\geqq 0)\\ -1  (x<0)\\ \end{array}\right.$   を定義ã™ã‚‹ã€‚ +\begin{verbatim} +  Deffun("f(x)",["regional(y)","if(x>=0,y=1,y=-1)","y"]); +\end{verbatim} + if æ–‡ã¯ãƒã‚¹ãƒˆã™ã‚‹ã“ã¨ãŒã§ãる。 +\begin{verbatim} +  Deffun("f(x)",["regional y","if(x>1,y=1, +        if(x>-1,y=x,y=-1))","y"]); +\end{verbatim} + \\ + + +\hypertarget{defvar}{} +\item[関数] Defvar(æ–‡å—列) +\item[機能] 変数を定義ã™ã‚‹ +\item[説明] 変数ã®å®šç¾©ã‚’Scilabã¨å…±æœ‰ã™ã‚‹ã€‚ã¾ãŸï¼ŒScilabã®Assignリストã«è¿½åŠ ã™ã‚‹ã€‚\\ + \\ +   例:\verb|Defvar("const=3");| + \\ +\hypertarget{drwxy}{} +\item[関数] Drwxy() +\item[機能] 座標軸をæã +\item[説明] 座標軸ã¯ãƒ‡ãƒ•ã‚©ãƒ«ãƒˆã§ã¯æœ€å¾Œã«æã‹ã‚Œã‚‹ãŒï¼Œåº§æ¨™è»¸ä¸Šã«ç™½æŠœãã®ç‚¹ã‚’表示ã™ã‚‹ãªã©ï¼Œå…ˆã«æãã“ã¨ãŒå¿…è¦ãªå ´åˆã«ç”¨ã„る。\\ + +例:点$(-\pi,\ 0)$ã¨$(\pi,\ 0)$を白抜ãã®ç‚¹ã§è¡¨ç¤ºã™ã‚‹ã€‚ +\begin{verbatim} +  Setax([7,"se"]); +  Setpt(8); +  Drwpt([-pi,0],0); +  Drwxy(); +  Plotdata("1","sin(x)","x",["dr","Num=300"]); +  Drwpt([[pi,0],0]); +\end{verbatim} + + ã“ã®ã‚¹ã‚¯ãƒªãƒ—トã§ã¯ï¼ŒDrwpt([-pi,0],0); を実行ã—ãŸã®ã¡åº§æ¨™è»¸ã‚’æã,次ã«ï¼Œ$y=\sin x$ ã®ã‚°ãƒ©ãƒ•ã‚’æã„ã¦ã‹ã‚‰ Drwpt([pi,0],0);を実行ã™ã‚‹ã®ã§ï¼Œç‚¹($-\pi$,0) ã®ä¸Šã‚’座標軸ãŒé€šã‚Šï¼Œç‚¹($\pi$,0)ã¯åº§æ¨™è»¸ã¨ã‚°ãƒ©ãƒ•ã®ä¸Šã‚’通るã®ã§ç™½æŠœãã«ãªã‚‹ã€‚\\ + +\input{Fig/drwxy} + \\ + \\ +\hypertarget{fontsize}{} +\item[関数] Fontsize(記å·) +\item[機能] フォントサイズをè¨å®šã™ã‚‹ +\item[説明] 次㫠Fontsize() を実行ã™ã‚‹ã¾ã§æœ‰åŠ¹\\ + 記å·ã¯ï¼Œ"t" , "ss" , "f", "s" , "n" , "la", "La", "LA", "h" , "H"\\ + +例:å°ã•ã„æ–¹ã‹ã‚‰ã„ãã¤ã‹è¡¨ç¤ºã™ã‚‹ã€‚ +\begin{verbatim} +  Ptsize(2); +  Drawpoint([A,B,C,D,E,F,G]); +  Fontsize("t"); Letter([A,"s2","A"]); +  Fontsize("ss"); Letter([B,"s2","B"]); +  Fontsize("s"); Letter([C,"s2","C"]); +  Fontsize("la"); Letter([D,"s2","D"]); +  Fontsize("La"); Letter([E,"s2","E"]); +  Fontsize("h"); Letter([F,"s2","F"]); +  Fontsize("H"); Letter([G,"s2","G"]); +\end{verbatim} +  \input{Fig/fontsize} + +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} +\newpage +\hypertarget{ketinit}{} +\item[関数] Ketinit(options) +\item[機能] \ketcindy ã‚’åˆæœŸåŒ–ã™ã‚‹ +\item[説明] opution 縦方å‘ã®å€çŽ‡ã¨æç”»é ˜åŸŸã‚’è¨å®š\\ + + 例:\verb|Ketinit()| :å€çŽ‡ï¼‘,æç”»é ˜åŸŸ $-5 \leqq x \leqq 5 , -5 \leqq y \leqq 5$(デフォルト)\\ +   \verb|Ketinit(2)| : å€çŽ‡ï¼’,æç”»é ˜åŸŸ $-5 \leqq x \leqq 5 , -5 \leqq y \leqq 5$\\ +   \verb|Ketinit(2,[-2,3],[-2,4])| : å€çŽ‡ï¼’,æç”»é ˜åŸŸ $-2 \leqq x \leqq 3 , -2 \leqq y \leqq 4$\\ + + æç”»é ˜åŸŸ(TeXã«å‡ºåŠ›ã™ã‚‹é ˜åŸŸ)ã¯åˆ¶å¾¡ç‚¹SW(左下)ã¨NE(å³ä¸Šï¼‰ã‚’対角ã¨ã™ã‚‹çŸ©å½¢é ˜åŸŸã€‚æç”»é ˜åŸŸã‚’æŒ‡å®šã™ã‚‹ã¨ï¼Œåˆ¶å¾¡ç‚¹ãŒãªã‘ã‚Œã°ãã®ä½ç½®ã«ä½œã‚Šï¼Œã™ã§ã«å˜åœ¨ã™ã‚‹å ´åˆã¯ä½•ã‚‚ã—ãªã„。作æˆã•ã‚ŒãŸåˆ¶å¾¡ç‚¹ã¯ãƒ‰ãƒ©ãƒƒã‚°ã—ã¦æç”»é ˜åŸŸã‚’å¤‰æ›´ã™ã‚‹ã“ã¨ãŒã§ãる。\\ + å€çŽ‡ã¯ï¼ŒSetscaling(å€çŽ‡)を実行ã™ã‚‹ã®ã¨åŒã˜ã€‚ãŸã ã—,Cinderellaã§ä½œå›³ã—ãŸå¹¾ä½•è¦ç´ ã«å¯¾ã—ã¦ã¯ç„¡åŠ¹ã€‚(Setscaling()ã®é …å‚ç…§)\\ + +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} + +\hypertarget{ptsie}{} +\item[関数] Ptsize(n) , Setpt(n) +\item[機能] 表示ã™ã‚‹ç‚¹ã®å¤§ãã•ã‚’è¨å®šã™ã‚‹ã€‚ +\item[説明] Ptsize() 㨠Setpt() ã¯åŒã˜ã§ã‚る。デフォルトã¯ï¼‘\\ + Ptsize()ã¯CindyScript風ã®èªžæ³•ï¼ŒSetpt() 㯠\ketpic 風ã®èªžæ³•\\ + 全体ã®ç‚¹ã®å¤§ãã•ã‚’è¨å®šã™ã‚‹ã€‚点ã®å¤§ãã•ã‚’個々ã«å¤‰ãˆãŸã„å ´åˆã¯ï¼Œsizeオプションを用ã„る。\\ + +例:1ã‹ã‚‰ï¼”ã¾ã§ã®ç‚¹ã®å¤§ãã•\\ + ã‚らã‹ã˜ã‚,Cinderellaã®ä½œå›³ãƒ„ールã§ç‚¹A,B,C,Dを作図ã—ã¦ãŠã。 +\begin{verbatim} +  Pointdata("1",A,["size=1"]); +  Pointdata("2",B,["size=2"]); +  Pointdata("3",C,["size=3"]); +  Pointdata("4",D,["size=4"]); +\end{verbatim} + +\input{Fig/pointsize}\\ + +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} +\newpage +\hypertarget{setax}{} +\item[関数] Setax() +\item[機能] 座標軸ã®æ›¸å¼ã‚’è¨å®šã™ã‚‹ã€‚ +\item[説明] Scilabã®ã¿ã§å®Ÿè¡Œã™ã‚‹ã€‚Cinderellaã®æç”»é¢ã«åæ˜ ã•ã‚Œãªã„。\\ +引数ã¯é †ç•ªã«\\ + 1. 軸ã®å½¢çŠ¶ï¼ˆç›´ç·šã¯ "l" ,矢å°ã¯ "a")デフォルトã¯ç›´ç·š\\ + 2. 横軸å デフォルト㯠$x$ \\ + 3. 横軸åã®ä½ç½®\\ + 4. 縦軸å デフォルトã¯$y$\\ + 5. 縦軸åã®ä½ç½®\\ + 6. 原点å デフォルトã¯O\\ + 7. 原点åã®ä½ç½®\\ +ãã‚Œãžã‚Œãƒ€ãƒ–ルクウォートã§ããる。\\ +ï¼—ã¤ã®å¼•æ•°ã®ã†ã¡n番目ã ã‘を指定ã™ã‚‹å ´åˆã¯ï¼Œ[n,"内容"]ã§æŒ‡å®šã§ãる。\\ +ã¾ãŸï¼Œå¾Œæ–¹ã¯ãƒ‡ãƒ•ã‚©ãƒ«ãƒˆãªã‚‰çœç•¥ã§ãる。\\ + +  例:座標軸ã®å…ˆç«¯ã‚’矢å°ã«ã—,原点ã®åŒ—西ã«Oを書ã。\\ +    \verb|Setax(["a","","","","","","nw"]);|\\ + +  例:原点ã®åŒ—西ã«Oを書ã。\\ +    \verb|Setax([7,"nw"]);|\\ + +  例:先端を矢å°ã«ã—,横軸をθ,縦軸を$x$ã«ã—ã¦çŸ¢ã˜ã‚Šã®å·¦å´ã«æ›¸ã。\\ +    \verb|Setax(["a","θ","","x","w"]);|\\ + \\ +     \input{Fig/setax(theta)} + \\ + +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} +\newpage +\hypertarget{definecolor}{} +\item[関数] Definecolor(色å , 定義ã®ãƒªã‚¹ãƒˆ) +\item[機能] 色åを定義ã™ã‚‹ +\item[説明] ユーザー命åã®è‰²åを定義ã™ã‚‹ã€‚定義リスト㯠RGBã¾ãŸã¯CMYKã®ãƒªã‚¹ãƒˆ\\ + å„色ï¼ã€œï¼‘ã®ç¯„囲ã§æŒ‡å®šã™ã‚‹ã€‚定義ã—ãŸè‰²åã¯ï¼ŒSetcolor(color,options) ã§ä½¿ã†ã“ã¨ãŒã§ãる。ãªãŠï¼ŒKeTCindyã§ã¯ï¼Œ68色を色åã§ä½¿ã†ã“ã¨ãŒã§ãる。次㮠Setcolor(color,options) å‚照)\\ + \\ + 例:暗ã„紫色を darkmaz ã®å称ã§å®šç¾©ã—ã¦ä½¿ã†ã€‚ +\begin{verbatim} +   Definecolor("darkmaz",[0.8,0,0.8]); +   Setcolor("darkmaz"); +\end{verbatim} +\hypertarget{setcolor}{} + \\ + \\ +\item[関数] Setcolor(color,options) +\item[機能] æ画色ã®è¨å®š +\item[説明] 引数colorã¯ã‚«ãƒ©ãƒ¼ã‚³ãƒ¼ãƒ‰ã¾ãŸã¯è‰²ã®å称。\\ + カラーコードã¯RGBã¾ãŸã¯CMYKをリストã§ä¸Žãˆã‚‹ã€‚å„色ï¼ã€œï¼‘。\\ + 色ã®å称ã¯æ¬¡é ã®68色ãŒæŒ‡å®šã§ãる。ãŸã ã—,Cinderellaã®ç”»é¢ã«ã¯è‰²ã¯åæ˜ ã•ã‚Œãªã„。\\ + colorã«è‰²ã®å称を用ã„ãŸå ´åˆã¯ï¼Œoption ã¨ã—ã¦ï¼Œé€æ˜Žåº¦ã‚’ï¼ã€œï¼‘ã®æ•°ã§æŒ‡å®šã§ãる。1ãŒæœ€ã‚‚濃ã,ï¼ã¯çµæžœã¨ã—ã¦è‰²å¡—ã‚Šã‚’ã—ãªã„。\\ + \\ +例 Cinderellaã®æ画ツールã¨CindyScriptã§ç·šåˆ†AB,ACã‚’60°ã®è§’ã‚’ãªã™ã‚ˆã†ã«æã„ã¦ãŠã,点Dã¨Eを弧ã®ä¸¡ç«¯ã«ãªã‚‹ã‚ˆã†ã«è¨å®šã—㦠+\begin{verbatim} +   Setcolor([1,0,0]); +   Circledata([A,D],["Rng=[0,pi/3]"]); +   Arrowhead(E,[-1,0.8],[2,1]); +\end{verbatim} + を実行ã™ã‚‹ã¨ï¼ŒçŸ¢ã˜ã‚Šã¤ãã®å¼§ã‚’赤ã§è¡¨ç¤ºã™ã‚‹ã“ã¨ãŒã§ãる。\\ + 1行目ã¯ï¼Œ\verb|Setcolor("red");| ã§ã‚‚よã„。\\ + ãŸã ã—,Cinderellaã®æç”»é¢ã§ã¯ç€è‰²ã•ã‚Œãªã„。\\ + æç”»é¢ã§ã‚‚ç€è‰²ã—ãŸã„å ´åˆã¯ï¼Œã‚ªãƒ—ション \verb|"color->[R,G,B]"| を用ã„る。\\ + 上ã®ä¾‹ã®å ´åˆï¼Œ +\begin{verbatim} +  Circledata([A,D],["Rng=[0,pi/3]","color->[1,0,0]"]); +  Arrowhead(E,[-1,0.8],[2,1,"color->[1,0,0]"]); +\end{verbatim} + ã¨ã™ã‚Œã°ï¼Œæç”»é¢ã§ã‚‚赤ã§è¡¨ç¤ºã•ã‚Œã‚‹ã€‚\\ + +      \includegraphics[width=3.5cm,bb=0 0 161 134]{Fig/setcolor.pdf} + \\ + \\ +\scalebox{0.9}{\input{Fig/colortable1-34}} + +\newpage + \\ + \\ + \\ +\scalebox{0.9}{\input{Fig/colortable35-68}} + \\ + \\ +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} +\newpage +\hypertarget{setmarklen}{} +\item[関数] Setmarklen(æ•°)  +\item[機能] 座標軸ã®ç›®ç››ã®é•·ã•ã‚’è¨å®šã™ã‚‹ +\item[説明] Htickmark() , Vtickmark() ã§åº§æ¨™è»¸ã«ç›®ç››ã‚’入れるã¨ã,ãã®é•·ã•ã‚’è¨å®šã™ã‚‹ã€‚ \\ +    ⇒ \hyperlink{htickmark}{Htickmark([横座標 , æ–¹å‘ , æ–‡å—])}\\ + +\hypertarget{setorigin}{} +\item[関数] Setorigin(座標)    +\item[機能] æç”»ã™ã‚‹åº§æ¨™è»¸ã®åŽŸç‚¹ã‚’è¨å®šï¼ˆç§»å‹•ï¼‰ã™ã‚‹ +\item[説明] æç”»ã™ã‚‹åº§æ¨™è»¸ã®åŽŸç‚¹ã‚’引数ã®åº§æ¨™ã¨ã™ã‚‹ã€‚座標ã¯ç‚¹ã®è˜åˆ¥åã§ã‚‚よã„。\\ + + 例:原点を (3,2) ã¨ã—ã¦åº§æ¨™è»¸ã‚’æã。\\ +    \verb|Setorigin([3,2]);|\\ +   原点を点Aã®ä½ç½®ã«ã—ã¦åº§æ¨™è»¸ã‚’æã。\\ +    \verb|Setorigin(A);| \\ + + 注æ„:座標軸ã¨ã¨ã‚‚ã«ï¼ŒåŽŸç‚¹ã®O,軸åãªã©ã‚‚移動ã™ã‚‹ãŒï¼Œåº§æ¨™ç³»ãŒå¤‰æ›´ã•ã‚Œã‚‹\\ +    ã‚ã‘ã§ã¯ãªã„。\\ + + 例:原点ã¯(3,2)ã«ç§»å‹•ã™ã‚‹ãŒï¼Œã‚¹ã‚¯ãƒªãƒ—トã§ã¯ã‚‚ã¨ã®åº§æ¨™ç³»ã‚’使ã†ã€‚ +\begin{verbatim} +   Setorigin([3,2]); +   Listplot([A,B,C,A]); +   Ptsize(3); +   Drawpoint([1,1]); +   Letter([[1,1],"s2","P"]); +\end{verbatim} + 左ãŒå®Ÿè¡Œæ™‚ã®Cinderellaã®ç”»é¢ï¼Œå³ãŒ\TeX ã®çµæžœã€‚\\ + +   \includegraphics[bb=0 0 227 205 , width=4cm]{Fig/setorigin.png}  \input{Fig/setorigin}\\ + \\ +\hypertarget{setpen}{} +\item[関数] Setpen(数)    +\item[機能] 線ã®å¤ªã•ã‚’è¨å®šã™ã‚‹\\ + \\[-5mm] +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} + \\ +\hypertarget{setpt}{} +\item[関数] Setpt(æ•°)     +\item[機能] 表示ã™ã‚‹ç‚¹ã®å¤§ãã•ã‚’è¨å®šã™ã‚‹\\ + +\hypertarget{setscaling}{} +\item[関数] Setscaling(å€çŽ‡) +\item[機能] 縦方å‘ã®å€çŽ‡ã‚’è¨å®šã™ã‚‹ +\item[説明] 2次関数ã®å¿œç”¨å•é¡Œãªã©ã§ã¯ï¼Œã‚°ãƒ©ãƒ•ãŒç¸¦ã«å¤§ãããªã‚‹å ´åˆãŒã‚り,$y$軸方å‘ã®ã‚¹ã‚±ãƒ¼ãƒªãƒ³ã‚°ã‚’変ãˆã‚‹ã“ã¨ãŒã‚ˆãã‚る。次ã®ã‚¹ã‚¯ãƒªãƒ—トã¯ï¼Œ$f(x)=-x^2+10x$ ã®ã‚°ãƒ©ãƒ•ã‚’縦軸方å‘ã‚’åŠåˆ†ã«ã—ã¦æãã‚‚ã®ã§ã‚る。\\ +\begin{layer}{150}{0} +\putnotese{80}{0}{\input{Fig/setscaling}} +\end{layer} + \\ +\begin{verbatim} + Setscaling(0.5); + A.xy=[0,25/4]; + B.xy=[5/2,25/4]; + C.xy=[5/2,0]; + Listplot([A,B],["do"]); + Listplot([C,B],["do"]); + Plotdata("1","-2*x^2+10*x","x"); + Letter([[5,0],"s2w","5",[0,25/2],"w2", +    "$\frac{25}{2}$",C,"s4","$\frac{5}{2}$"]); +\end{verbatim} +%          \input{Fig/setscaling}\\ + ã“ã“ã§ï¼Œç‚¹A,Bã®åº§æ¨™ãŒ +\begin{verbatim} +  A.xy=[0,25/4]; +  B.xy=[5/2,25/4]; +\end{verbatim} +ã¨ãªã£ã¦ã„ã‚‹ã“ã¨ã«æ³¨æ„ã•ã‚ŒãŸã„。$y$座標をã‚らã‹ã˜ã‚åŠåˆ†ã«ã—ã¦ã„る。ã™ãªã‚ã¡ï¼ŒCinderellaã§ä½œå›³ã—ãŸå¹¾ä½•è¦ç´ ã«å¯¾ã—ã¦ã¯Setscalingã¯ç„¡åŠ¹ã§ã‚る。ã“ã‚Œã¯ï¼ŒPutpoint関数を用ã„ã¦ç‚¹ã®ä½ç½®ã‚’決ã‚ã¦ã‚‚åŒã˜ã§ã‚る。\\ + ãŸã¨ãˆã°ï¼Œæ¬¡ã®ã‚¹ã‚¯ãƒªãƒ—トã§ã¯ï¼ŒCinderellaã®ç”»é¢ä¸Šã§ã¯ï¼’本ã®ç·šåˆ†ãŒç‚¹Bã§ã¤ãªãŒã‚‹ãŒï¼Œæ›¸ã出ã•ã‚ŒãŸ\TeX ã®å›³ã§ã¯é›¢ã‚Œã¦ã—ã¾ã†ã€‚ +\begin{verbatim} +  Setscaling(0.5); +  Putpoint("A",[0,2]); +  Putpoint("B",[2,2]); +  Listplot([A,B]); +  Listplot("1",[[0,0],[2,2]]); +\end{verbatim} + \\ + \\ +%\newpage +\hypertarget{setunitlen}{} +\item[関数] Setunitlen(æ–‡å—列) +\item[機能] å˜ä½é•·ã‚’è¨å®šã™ã‚‹ã€‚デフォルト㯠1cm\\ + \\ + \\ +\hypertarget{setwindow}{} +\item[関数] Setwindow() +\item[機能] 出力ã™ã‚‹æç”»é ˜åŸŸã‚’è¨å®šã™ã‚‹\\ +\item[説明] 出力ã™ã‚‹æç”»é ˜åŸŸã¯ï¼Œé€šå¸¸ã¯ï¼’点SWã¨NEを対角ã¨ã™ã‚‹çŸ©å½¢é ˜åŸŸã§ã‚る。 +ã“ã®ï¼’点をドラッグã™ã‚‹ã“ã¨ã«ã‚ˆã‚Šãƒ“ジュアルã«æç”»é ˜åŸŸã‚’æ±ºã‚られる。\\ +ã—ã‹ã—,ã“ã‚Œã¨ã¯åˆ¥ã«å‡ºåŠ›ç¯„囲をè¨å®šã—ãŸã„å ´åˆã«ã“ã®é–¢æ•°ã‚’用ã„る。\\ +ã¾ãŸï¼Œè¡¨ã‚’作æˆã—ãŸã¨ãã¯ï¼Œè¡¨ã®ç¯„囲ãŒå‡ºåŠ›ç¯„囲ã¨ã—ã¦å„ªå…ˆã•ã‚Œã‚‹ï¼ˆTabledata()を実行ã—ãŸã¨ã)ã®ã§ï¼Œè¡¨å¤–ã«å›³ã‚’æã„ãŸå ´åˆã¯ï¼Œæœ€å¾Œã«ã“ã®é–¢æ•°ã§å‡ºåŠ›ç¯„囲を指定ã—ã¦æ›¸ã出ã™ã€‚\\ + \\ +\end{description} + +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} +\newpage +%第5節ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ +\subsection{æç”»} + +æ画関数ã¯æ›²ç·šãªã©ã‚’作図ã™ã‚‹é–¢æ•°ã§ã‚る。\\ + 基本的ãªæ›¸å¼ã¯\\ +   関数å(name , 点リストãªã© , options);\\ +ã§ã‚ã‚‹ãŒï¼Œnameã®ä¸è¦ãªã‚‚ã®ã‚‚ã‚る。\\ + nameã¯ï¼Œãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã®å称を指定ã™ã‚‹ã‚‚ã®ã§ï¼Œé–¢æ•°ã”ã¨ã«æ±ºã‚られãŸé 部ã®ã‚ã¨ã«ä»˜ã‘られる。nameãŒä¸è¦ã®å ´åˆã¯ \ketcindy ãŒè‡ªå‹•çš„ã«å称を作æˆã™ã‚‹ã€‚\\ + 点リストãªã©ã¯ï¼Œç‚¹ã®åº§æ¨™ï¼Œç‚¹ã®è˜åˆ¥å,複数ã®ç‚¹ã®ãƒªã‚¹ãƒˆï¼Œè¤‡æ•°ã®ç‚¹ã‚’示ã™æ–‡å—列ãªã©ãŒã‚り,関数ã«ã‚ˆã£ã¦ç•°ãªã‚‹ã€‚点ã¯Cinderellaã§ä½œå›³ã—ãŸå¹¾ä½•è¦ç´ ã®ç‚¹ã‚’利用ã§ãる。\\ + \\ + optionsã¯ï¼Œç·šç¨®ãƒ»è¡¨ç¤ºã™ã‚‹æ–‡å—列・解åƒåº¦ãƒ»å‡ºåŠ›ã®æœ‰ç„¡ãªã©ã‚’指定ã™ã‚‹ã‚ªãƒ—ション群。 +\begin{tabbing} +1234567890123\=\kill + 線種ã¯ã¤ãŽã®ï¼”通り。デフォルトã¯å®Ÿç·šã€‚\\ +  "dr, n"   \>太ã•nã®å®Ÿç·šã§æã。Scilab ã®ãƒ•ã‚¡ã‚¤ãƒ«ã« Drwline() を出力ã™ã‚‹ã€‚\\ +  "da,m,n" \>ç ´ç·šã‚’æã。Scilab ã®ãƒ•ã‚¡ã‚¤ãƒ«ã« Dashline() を出力ã™ã‚‹ã€‚\\ +        \> mã¯ç ´ç·šã®é•·ã•ï¼Œnã¯ç ´ç·šã®é–“隔 (m,nã¯çœç•¥å¯)\\ +        \>m,n オプションã¯Cinderellaã®æç”»é¢ã«ã¯åæ˜ ã•ã‚Œãªã„。\\ +  "id,m,n" \>ギャップã‹ã‚‰ã¯ã˜ã¾ã‚‹ç ´ç·šã‚’æã。Scilab ã®ãƒ•ã‚¡ã‚¤ãƒ«ã« Invdashline() を出力ã™ã‚‹ã€‚\\ +  "do,m,n" \>点線ã§æã。Scilab ã®ãƒ•ã‚¡ã‚¤ãƒ«ã« Dottedline() を出力ã™ã‚‹ã€‚\\ +        \>mã¯ç‚¹ã®é–“隔,nã¯å¤ªã•ã€€(m,nã¯çœç•¥å¯)\\ + æ画色指定ã¯ï¼ŒCindyscriptã®è¡¨è¨˜ã¨åŒæ§˜ã§ï¼ŒRGBã®ãƒªã‚¹ãƒˆã§æŒ‡å®šã™ã‚‹ã‹ï¼Œè‰²åを用ã„る。\\ +  例:\verb|"color->[0,0.7,0]"| ã§æš—ã„ç·‘ã«ãªã‚‹ã€‚\\ + 出力ã®æœ‰ç„¡ã¯\\ +  "notex" \>Cinderellaç”»é¢ä¸Šã§è£œåŠ©ç·šã¨ã—ã¦ç”¨ã„ãŸå›³å½¢ã‚’Scilabã«å‡ºåŠ›ã—ãªã„\\ +  "nodisp" \>Cinderellaç”»é¢ä¸Šã«ã‚‚出力ã—ãªã„\\ + +   "nodisp"ã¯ç”»é¢ä¸Šã«ã‚‚,Scilabã¸ã®ãƒ‡ãƒ¼ã‚¿ã«ã‚‚出力ã•ã‚Œãªã„ãŒï¼Œãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã¯ä½œæˆã•ã‚Œï¼Œ\\ +   ãれを戻り値ã¨ã™ã‚‹ã®ã§ï¼Œãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã ã‘を利用ã—ãŸã„å ´åˆã«æœ‰åŠ¹ã§ã‚る。\\ +   例 \verb|pdata=Circledata([A,B],["nodisp"]);|\\ +    ã¨ã—ã¦ï¼Œãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ pdata を処ç†ã™ã‚‹ã€‚\\ +\end{tabbing} + +\newpage +\begin{description} + +\hypertarget{anglemark}{} +\item[関数] Anglemark(点リスト , options) +\item[機能] 点リスト[A,B,C]ã§ç¤ºã•ã‚ŒãŸè§’ã«å¼§ã®å½¢çŠ¶ã®è§’ã®å°ã‚’ã¤ã‘る。 +\item[説明] optionsã¯æ¬¡ã®é€šã‚Šã€‚\\ +  数値   角ã®å°ã®å¤§ãã•ã€‚デフォルトã¯ï¼‘\\ +  線種   "dr, n" , "da,m,n" , "do,m,n"\\ +  "Expr=æ–‡å—" : æ–‡å—を入れる\\ +  "Expr=ä½ç½® , æ–‡å—" : ä½ç½®ã‚’指定ã—ã¦æ–‡å—を入れる。ä½ç½®ã¯é ‚点ã‹ã‚‰ã®è·é›¢ã€‚\\ + +例:三角形ã®å†…角ã«å°ã‚’ã„れ,文å—を書ã込む。 +\begin{verbatim} +   Listplot([A,B,C,A]); +   Letter([A,"n1","A",B,"w1","B",C,"e1","C"]); +   Anglemark([B,A,C]); +   Anglemark([C,B,A],["Expr=\theta"]); +   Anglemark([A,C,B],[2,"dr,3","Expr=2,\alpha"]); +\end{verbatim} + \input{Fig/anglemark} + +※角ã®å°ã«ã¯å¹³è¡Œå››è¾ºå½¢ã®å½¢çŠ¶ã®ã‚‚ã®ã‚‚ã‚る。Paramark() ã‚’å‚ç…§ã®ã“ã¨ã€‚\\ + +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} + +\hypertarget{arrowdata}{} +\item[関数] Arrowdata(name,[始点 , 終点] , options) +\item[機能] 2点間をçµã¶çŸ¢ç·šã‚’æã。プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿åã®é 部㯠ar +\item[説明] name ã¯ï¼Œåº§æ¨™ã‚’数値ã§ä¸Žãˆã‚‹ã¨ãã«å¿…è¦ã€‚幾何è¦ç´ ã®è˜åˆ¥åã§ä¸Žãˆã‚‹ã¨ãã¯ãªãã¦ã‚‚よã„。\\ + optionsã¯çŸ¢ã˜ã‚Šã®å½¢çŠ¶ãªã©ã®æŒ‡å®šã§\\ +  [ 矢ã˜ã‚Šã®å¤§ãã•, é–‹ã角, 矢ã˜ã‚Šä½ç½®, 線種,ç·šã®è¡¨ç¤ºè‰²] + ã®ãƒªã‚¹ãƒˆã§ä¸Žãˆã‚‹ã€‚\\ + 開ã角ã¯60分法ã§ä¸Žãˆã‚‹ã€‚ãŸã ã—,° ã¯ã¤ã‘ãªã„。5未満ã®æ™‚ã¯18°ã®å€æ•°æŒ‡å®šã¨ã™ã‚‹ã€‚\\ + 矢ã˜ã‚Šä½ç½®ã¯ï¼Œç·šåˆ†ã®é•·ã•ã‚’1ã¨ã—ãŸå§‹ç‚¹ã‹ã‚‰ã®è·é›¢ã€‚\\ + ãŸã ã—,Cinderellaã®ç”»é¢ä¸Šã«ã¯å…¨ã¦ã¯åæ˜ ã•ã‚Œãªã„。ãŸã¨ãˆã°ï¼Œå¤ªã•æŒ‡å®šã‚’ã—ã¦ã‚‚太ã•ã¯åŒã˜ã€‚\\ + + 例:線分ABを矢線ã«ã™ã‚‹ã€‚\\ +    \verb|Arrowdata([A,B]);|\\ +   始点ãŒ(2,0) , 終点ãŒ(4,3) ,開ã角45°,EFã®ä¸ç‚¹ã«çŸ¢ã˜ã‚Šã®å…ˆç«¯\\ +    \verb|Arrowdata("1",[[2,0],[4,3]],[1,45,0.5]);|\\ +   大ãã•ï¼’,太ã•ï¼’\\ +    \verb|Arrowdata([C,D],[2,1,1,"dr,2"]);|\\ +ã€€ã€€ã€€ç ´ç·šã§å¤ªã•0.5\\ +    \verb|Arrowdata([E,F],["da,0.5"]);|\\ +   少ã—é–“ãŒç©ºã„ã¦å¤ªã„点線ã§ï¼ŒCinderellaã®ç”»é¢ä¸Šã§ã¯èµ¤ã§è¡¨ç¤ºã™ã‚‹ã€‚\\ +    \verb|Arrowdata([G,H],[2,1,"do,2,3","color-$>$[1,0,0]"]);| \\ + +   \input{Fig/arrowdata}\\ +\\ + +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} + +\hypertarget{arrowhead}{} +\item[関数] Arrowhead(点 , æ–¹å‘ , options) , Arrowhead(点 , プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿,options) +\item[機能] 点ã«çŸ¢ã˜ã‚Šã ã‘ã‚’æã +\item[説明] 指定ã•ã‚ŒãŸä½ç½®ã«ï¼ŒæŒ‡å®šã•ã‚ŒãŸæ–¹å‘ã‚’å‘ã„ãŸçŸ¢ã˜ã‚Šã ã‘ã‚’æã。\\ + 点ã¯åº§æ¨™ã¾ãŸã¯å¹¾ä½•è¦ç´ å。方å‘ã¯åŽŸç‚¹ã‹ã‚‰è¦‹ã¦åº§æ¨™[a,b]ã®æ–¹å‘。\\ + options㯠[大ãã•ï¼ŒçŸ¢ã˜ã‚Šã®é–‹ã角,形状ã¨ä½ç½®] ã®ãƒªã‚¹ãƒˆã€‚\\ + 矢ã˜ã‚Šã®é–‹ã角ã¯60分法ã§ç‰‡å´åŠåˆ†ã®è§’。\\ + 形状ã¯ï¼Œ "f" :塗りã¤ã¶ã—ã®ä¸‰è§’形(デフォルト)ã¾ãŸã¯ã€€" l " : ラインã®ã¿ã€‚\\ + ä½ç½®ã¯ï¼Œ"t"(デフォルト)ã¾ãŸã¯ "c" , "b"\\ +   "t" ã¯çŸ¢ã˜ã‚Šã®å…ˆç«¯ãŒçµ‚点ã«ä¸€è‡´ï¼Œ"c" ã¯ä¸‰è§’å½¢ã®ä¸å¿ƒãŒçµ‚点ã¨ä¸€è‡´ï¼Œ"b" ã¯çµ‚点ãŒçŸ¢ã˜ã‚Šã®åº•è¾ºã«ã®ã‚‹ã€‚\\ + プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã‚’指定ã—ãŸã¨ãã¯ï¼Œæ›²ç·šä¸Šã®ç‚¹ã«çŸ¢ã˜ã‚Šã‚’ã¤ã‘る。\\ + 曲線ã«ã¯å‘ããŒã‚り,ãã‚Œã«ã‚ˆã£ã¦çŸ¢ã˜ã‚Šã®å‘ããŒæ±ºã¾ã‚‹ã€‚" Invert(プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿) " ã¨ã™ã‚‹ã¨å対å‘ãã®çŸ¢ã˜ã‚Šã«ãªã‚‹ã€‚\\ + 曲線ã®å‘ãã¨ã¯ï¼Œæ›²ç·šã‚’æãã¨ãã®é †åºã§ï¼Œãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã®é †åºã§ã‚‚ã‚る。invert() ã¯ã“ã®ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã‚’é€†é †ã«ã™ã‚‹ã‚‚ã®ã§ã‚る。\\ + +例: + +\vspace{-8mm} +\hspace{6mm} +\begin{layer}{150}{0} +\putnotese{0}{0}{点 A ãŒä¸‹å›³ã®ä½ç½®ã®ã¨ã} +\putnotese{0}{8}{\input{Fig/ForRef-Arrowhead-1}} +\putnotese{40}{0}{(ã‚¢) Arrowhead(A,[-1,1]);} +\putnotese{40}{7}{(イ) Arrowhead([1,1],[-1,1],[2,60]);} +\putnotese{40}{14}{(ウ) Arrowhead(A,[-1,1],[2,30,"b"]);} +\putnotese{40}{21}{(エ) Arrowhead([1,1],[-1,1],[2,20,"lc"]);} +\end{layer} + +\vspace{2mm} +\hspace{6mm} +\begin{layer}{150}{0} +\putnotese{0}{0}{\input{Fig/ForRef-Arrowhead-ya1}} +\putnotese{95}{55}{D ã®åº§æ¨™ãŒã‚ã‹ã‚Œ} +\putnotese{95}{60}{ã°ï¼Œãã‚Œã§ã‚‚よã„} +\putnotese{12}{27}{(ã‚¢)} +\putnotese{42}{27}{(イ)} +\putnotese{72}{27}{(ウ)} +\putnotese{102}{27}{(エ)} +\putnotese{0}{30}{\input{Fig/ForRef-Arrowhead-2}} +\putnotese{30}{30}{\input{Fig/ForRef-Arrowhead-3}} +\putnotese{60}{30}{\input{Fig/ForRef-Arrowhead-4}} +\putnotese{90}{30}{\input{Fig/ForRef-Arrowhead-5}} +\end{layer} + +\vspace{56mm} +\hspace{6mm} +\begin{layer}{150}{0} +\putnotese{0}{0}{曲線 crBC 上ã®ç‚¹ D ãŒ} +\putnotese{0}{5}{下図ã®ã‚ˆã†ãªã¨ã} +\putnotese{0}{7}{\input{Fig/ForRef-Arrowhead-6}} +\putnotese{16}{22}{crBC} +\putnotese{40}{0}{(オ) Arrowhead(D,"crBC");} +\putnotese{40}{7}{(ã‚«) Arrowhead(D,"crBC",[2]);} +\putnotese{40}{14}{(ã‚) Arrowhead(D,"crBC",[2,30,"l"]);} +\putnotese{40}{21}{(ク) Arrowhead(D,"Invert(crBC)");} +\end{layer} + +\vspace{3mm} +\hspace{6mm} +\begin{layer}{150}{0} +\putnotese{12}{27}{(オ)} +\putnotese{42}{27}{(ã‚«)} +\putnotese{72}{27}{(ã‚)} +\putnotese{102}{27}{(ク)} +\putnotese{0}{28}{\input{Fig/ForRef-Arrowhead-7}} +\putnotese{30}{28}{\input{Fig/ForRef-Arrowhead-8}} +\putnotese{60}{28}{\input{Fig/ForRef-Arrowhead-9}} +\putnotese{90}{28}{\input{Fig/ForRef-Arrowhead-10}} +\end{layer} + +\vspace{70mm} +\hypertarget{bezier}{} +\item[関数] Bezier(åå‰ï¼Œç¯€ç‚¹ãƒªã‚¹ãƒˆï¼Œåˆ¶å¾¡ç‚¹ãƒªã‚¹ãƒˆï¼Œ[オプション] ) +\item[機能] å˜ç‹¬ã®ãƒ™ã‚¸ã‚¨æ›²ç·šã‚’æã +\item[説明] 制御点ã¯ï¼Œå„区間ã«å¯¾ã—ã¦ï¼Œï¼“次ã®å ´åˆï¼’個,2次ã®å ´åˆï¼‘個ã®ãƒªã‚¹ãƒˆã§ä¸Žãˆã‚‹ã€‚ + + [ [F,G] , [H], ... ] + +オプション + +"Num=..." : 節点間ã®åˆ†å‰²æ•°ï¼ˆåˆ†ç‚¹æ•° $-1$)を指定ã§ãる。(デフォルトã¯10) + +\vspace{5mm} + +例: + +\begin{layer}{150}{0} +\putnotese{50}{15}{bz1} +\putnotese{60}{-15}{\input{Fig/checkbe1}} +\end{layer} + +2次ベジエ曲線 + +Bezier("1",[A,B],[C]); + +\vspace{20mm} + +\begin{layer}{150}{0} +\putnotese{50}{20}{bzc} +\putnotese{60}{-10}{\input{Fig/checkbe2}} +\end{layer} + +3次ベジエ曲線 + +Bezier("c",[A,B],[C,D]); + +\vspace{20mm} + +\begin{layer}{150}{0} +\putnotese{50}{20}{bz3} +\putnotese{60}{-10}{\input{Fig/checkbe3}} +\end{layer} + +ã¤ãªã’ã‚‹ + +Bezier("3",[A,B,C],[[D],[E,F]]); + +\vspace{20mm} + +\begin{layer}{150}{0} +\putnotese{50}{20}{bzS} +\putnotese{60}{5}{\input{Fig/checkbe4}} +\end{layer} + +D,B,E を1直線上ã«ã¨ã‚‹ã¨ï¼Œæ»‘らã‹ã«ã¤ãªãŒã‚‹ + +Bezier("S",[A,B,C],[[D],[E,F]]); + +\vspace{25mm} + + +\begin{layer}{150}{0} +\putnotese{16}{27}{bzname} +\putnotese{15}{10}{\input{Fig/checkbe7}} +\end{layer} + +å…¨ã¦åŒã˜æ¬¡æ•°ã®å ´åˆï¼Œæ¬¡ã®ã‚ˆã†ã«ã—ã¦ã‚‚よã„. + +Bezier("name", [A,B,C,D], [E,F,G,H,K,L] ); + +\vspace{30mm} + +\begin{layer}{150}{0} +\putnotese{50}{20}{bz1a} +\putnotese{60}{5}{\input{Fig/checkbe5}} +\end{layer} + +オプション + +Bezier("1a",[A,B,C],[[D],[E,F]],["Num=3"]); + +\vspace{30mm} + +\begin{layer}{150}{0} +\putnotese{50}{20}{bzd5e} +\putnotese{60}{5}{\input{Fig/checkbe6}} +\end{layer} + +Bezier("d5e",[A,B,C],[[D],[E,F]],["Num=200","da"]); + +\vspace{35mm} + + +\begin{layer}{150}{0} +\putnotese{20}{32}{bz1} +\putnotese{15}{15}{\input{Fig/checkbe8}} +\end{layer} + +Numを(ベクトルã¨ã—ã¦ï¼‰åŒºé–“ã”ã¨ã«ä¸Žãˆã‚‹ã“ã¨ã‚‚ã§ãる。 + +Bezier("1", [A,B,C,D], [E,F,G,H,K,L] , [ "Num=[2,3,4]"]); + +\vspace{30mm} + +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} + + +\hypertarget{beziersmooth}{} +\item[関数] Beziersmooth(åå‰ï¼Œç¯€ç‚¹ãƒªã‚¹ãƒˆï¼Œ[オプション] ) +\item[機能] 節点間を3次ベジエ曲線ã§ã‚¹ãƒ ーズã«çµã‚“ã 曲線をæã +\item[説明] 節点をã¯ã•ã‚€åˆ¶å¾¡ç‚¹ã¯ï¼‘直線上ã«ã¨ã‚‹ï¼ˆã—ãŸãŒã£ã¦ï¼Œï¼‘ã¤ã¯åŠè‡ªç”±ç‚¹ã§ï¼Œç›´ç·šä¸Šã—ã‹å‹•ã‘ãªã„)。 +制御点ã¯è‡ªå‹•çš„ã«é…ç½®ã•ã‚Œã‚‹ã€‚ãã®å¾Œï¼Œç¯€ç‚¹ã‚„制御点を動ã‹ã—ã¦ï¼ŒæããŸã„ã‚‚ã®ã«ã™ã‚‹ã€‚ + +例: + +\begin{layer}{150}{0} +\putnotese{70}{25}{bz1} +\putnotese{40}{-5}{\input{Fig/checksm1}} +\end{layer} + +Beziersmooth("1",[A,B,C,D]); + +\vspace{20mm} + +\begin{layer}{150}{0} +\putnotese{70}{35}{bz1} +\putnotese{40}{10}{\input{Fig/checksm2}} +\end{layer} + +ãã®å¾Œï¼Œç¯€ç‚¹ã‚„制御点\\ +ã‚’å‹•ã‹ã—ã¦ï¼ŒæããŸã„\\ +ã‚‚ã®ã«ã™ã‚‹ã€‚ãŸã ã—,\\ +C2p 㯠C1q 㨠B を通\\ +る直線上ã—ã‹å‹•ã‘ãªã„。\\ +C3p 㯠C2q 㨠C を通\\ +る直線上ã—ã‹å‹•ã‘ãªã„。 + +\vspace{10mm} + + +\hypertarget{beziersym}{} +\item[関数] Beziersym(åå‰ï¼Œç¯€ç‚¹ãƒªã‚¹ãƒˆï¼Œ[オプション] ) +\item[機能] 節点間を3次ベジエ曲線ã§ã‚¹ãƒ ーズã«çµã‚“ã 曲線をæã +\item[説明] 節点をã¯ã•ã‚€åˆ¶å¾¡ç‚¹ã¯ç¯€ç‚¹ã«é–¢ã—対称(片方ã¯è¡¨ç¤ºã•ã‚Œãšï¼Œå‹•ã‹ã›ãªã„)。 +制御点ã¯è‡ªå‹•çš„ã«é…ç½®ã•ã‚Œã‚‹ã€‚ãã®å¾Œï¼Œç¯€ç‚¹ã‚„制御点を動ã‹ã—ã¦æããŸã„ã‚‚ã®ã«ã™ã‚‹ã€‚ + +例: + +\begin{layer}{150}{0} +\putnotese{70}{20}{bz1} +\putnotese{40}{-5}{\input{Fig/checksy1}} +\end{layer} + +Beziersym("1",[A,B,C,D]);\\ +C2p 㨠C3p ã¯è¡¨ç¤ºã•ã‚Œ\\ +ãªã„。 + +\vspace{10mm} + +\begin{layer}{150}{0} +\putnotese{70}{30}{bz1} +\putnotese{40}{0}{\input{Fig/checksy2}} +\end{layer} + +ãã®å¾Œï¼Œç¯€ç‚¹ã‚„制御点\\ +ã‚’å‹•ã‹ã—ã¦ï¼ŒæããŸã„\\ +ã‚‚ã®ã«ã™ã‚‹ã€‚\\ +C2p 㨠C3p ã¯è¡¨ç¤ºã•\\ã‚Œãšï¼Œå‹•ã‹ã›ãªã„。 + \\ +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} + +\hypertarget{bowdata}{} +\item[関数] Bowdata(点リスト , options) +\item[機能] 弓形をæã +\item[説明] 点リストã§ä¸Žãˆã‚‰ã‚ŒãŸï¼’点をçµã¶å¼“形をæã。\\ + 2点をå時計回りã«å›žã‚‹æ–¹å‘ã«å¼“形をæã。\\ + optionsã¯ï¼Œ[曲ãŒã‚Š , 空白サイズ , æ–‡å—, 線種]\\ +  曲ãŒã‚Šã€€ã¯å¼§ã®æ›²ãŒã‚Šå…·åˆã®æŒ‡å®šã€‚デフォルトã¯ï¼‘\\ +  空白サイズ ã¯ä¸å¤®ã«ã‚ã‘る空白ã®å¤§ãã•\\ +  文å—ã¯ï¼Œ"Expr=æ–‡å—" \\ +  ã¾ãŸï¼Œ"Expr=ä½ç½® , æ–‡å—" ã§ä½ç½®ã‚’指定ã—ã¦æ–‡å—を入れる。ä½ç½®ã¯e,w,n,s,c\\ + +例 三角形ABCã®å„辺ã«å¼“形マークをã¤ã‘記å·ã‚’入れる。 +\begin{verbatim} +   Listplot([A,B,C,A]); +   Letter([A,"n1","A",B,"w1","B",C,"e1","C"]); +   Bowdata([A,B]); +   Bowdata([B,C],[1,"Expr=s3,a"]); +   Bowdata([C,A],[2,1.2,"Expr=10","da"]); +\end{verbatim} +   \input{Fig/bowdata}\\ + + 以上ãŒåŸºæœ¬ã€‚ã“ã‚Œã«åŠ ãˆï¼Œæ–‡å—を回転ã—ã¦è¡¨ç¤ºã™ã‚‹æ–¹æ³•ãŒã‚る。\\ + ãŸã ã—,Cinderellaã®ç”»é¢ã«ã¯åæ˜ ã•ã‚Œãªã„。\\ + 文å—をを回転ã™ã‚‹ã«ã¯æ¬¡ã®ã‚ˆã†ã«æ›¸ã。\\ + "Exprrot=å¾®å°ç§»å‹• , æ–‡å—"\\ +   微å°ç§»å‹•ã¯ t , n ,u \\ +     t ã¯ç·šåˆ†æ–¹å‘ã®å¾®å°ç§»å‹•ã€‚移動é‡ã¯æ•°å—ã‚’ã¤ã‘る。æ£è² ãŒå¯ã€‚\\ +     n ã¯ç·šåˆ†ã¨åž‚ç›´æ–¹å‘ã®å¾®å°ç§»å‹•\\ +     u ã¯ä¸Šä¸‹å転\\ + t , n , u ã¯çµ„ã¿åˆã‚ã›ã‚‹ã“ã¨ãŒã§ãる。 + 以下ã«ã„ãã¤ã‹ä¾‹ã‚’示ã™ã€‚ +\begin{verbatim} +  Bowdata([B,A],[1,1,"Exprrot=a"]); +  Bowdata([D,C],[1,1,"Exprrot=t3,a"]); +  Bowdata([F,E],[1,1,"Exprrot=t-3,a"]); +  Bowdata([H,G],[1,1,"Exprrot=n3,a"]); +  Bowdata([L,K],[1,1,"Exprrot=u,a"]); +  Bowdata([N,M],[1,1,"Exprrot=t3u,a"]); +\end{verbatim} + \input{Fig/bowdata2}\\ + +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} + +\hypertarget{bspline}{} +\item[関数] Bspline(åå‰ï¼Œåˆ¶å¾¡ç‚¹ãƒªã‚¹ãƒˆï¼Œ[オプション] ) +\item[機能] 2次B-spline曲線をæã +\item[説明] 節点ã¯è‡ªå‹•çš„ã«è¨ˆç®—ã•ã‚Œï¼Œè¡¨ç¤ºã•ã‚Œãªã„\\ + + +例:\verb|Bspline("1",[A,B,C,D,E]);|\\ +  \verb|Bezier("1",[A,(B+C)/2,(C+D)/2,E],[B,C,D]);|\\ +  ã¨åŒã˜ã€‚曲線ã®åå‰ãŒ bz1 ã§ã¯ãªãbzb1 ã¨ãªã‚‹ã€‚\\ +  通常ã®B-spline曲線ã®ç«¯ã®åˆ¶å¾¡ç‚¹ã®ä»£ã‚ã‚Šã«ï¼Œç«¯ç‚¹ã‚’å‹•ã‹ã›ã‚‹ã‚ˆã†ã«ã—ã¦ã„る。\\ +    \input{Fig/checkbs1} + + +例:\verb|Bspline("1",[A,B,C,D,A]);|\\ + リストã®æœ€åˆã¨æœ€å¾ŒãŒåŒã˜å ´åˆã¯é–‰æ›²ç·šã«ãªã‚‹ã€‚\\ + \verb|Bezier("1",[(D+A)/2,(A+B)/2,(B+C)/2,(C+D)/2,(D+A)/2],[A,B,C,D]);| ã¨åŒã˜ã€‚\\ + \\ +    \input{Fig/checkbs2} + \\ +\hypertarget{crspline}{} +\item[関数] CRspline(åå‰ï¼Œç¯€ç‚¹ãƒªã‚¹ãƒˆï¼Œ[オプション] ) +\item[機能] å˜ç‹¬ã®Catmull-Rom スプライン曲線をæã +\item[説明] + 自由点ã¯ï¼Œç¯€ç‚¹ã®ã¿ã§ï¼Œåˆ¶å¾¡ç‚¹ã¯ç¯€ç‚¹ã‹ã‚‰ä½œã‚‰ã‚Œç§»å‹•ã¯ã§ããªã„。\\ + オプションã«ï¼Œé€šå¸¸ã®ã‚ªãƒ—ションã®ã»ã‹ï¼Œæ¬¡ã®ï¼’ã¤ãŒä½¿ãˆã‚‹ã€‚\\ +  "size-$>$n"     画é¢ä¸Šã§ã®ç·šã®å¤ªã•ã‚’指定ã™ã‚‹ã€‚\\ +  "pointsize-$>$n"  制御点ã®å¤§ãã•ã‚’指定ã™ã‚‹ã€‚0ã®ã¨ãéžè¡¨ç¤ºã¨ãªã‚‹ã€‚\\ + +例:\verb|CRspline("3",[A,B,C,D]);|\\ +   \input{Fig/checkCR} + \\ +\hypertarget{circledata}{} +\item[関数] Circledata(name,リスト,options)  +\item[機能] 円ã¾ãŸã¯å¤šè§’形をæã。 +\item[説明] ä¸å¿ƒã®ç‚¹ã¨ï¼Œå††å‘¨ä¸Šã®1点,ã¾ãŸã¯ï¼“点をリストã§ä¸Žãˆã¦å††ã‚’æã。\\ + プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã®åå‰ã¯ï¼Œ"cr" ã«å¼•æ•°ã® name ã‚’ä»˜åŠ ã—ãŸã‚‚ã®ã¨ãªã‚‹ã€‚\\ + ä¸å¿ƒã¨å††å‘¨ä¸Šã®ç‚¹ã‚’,座標ã§ã¯ãªã幾何è¦ç´ åã§æŒ‡å®šã™ã‚‹å ´åˆã¯ name ã¯çœç•¥å¯ã€‚\\ + optionsã¯ä»¥ä¸‹ã®ã‚‚ã®ã‚’リストã§ä¸Žãˆã‚‹ã€‚çœç•¥ã—ãŸå ´åˆã¯å®Ÿç·šã§å††ãŒæã‹ã‚Œã‚‹ã€‚ +\begin{tabbing} +1234567890123456789012\=\kill +  "Rng=[$θ_1,θ_2$]" \>角$θ_1$ã‹ã‚‰$θ_2$ã®ç¯„囲ã®å¼§ã‚’æã。角ã¯å¼§åº¦æ³•ã§ä¸Žãˆã‚‹ã€‚\\ +  "Num=分割数"  \>円をæãã¨ãã®åˆ†å‰²æ•°ã€‚値ãŒå°ã•ã„å ´åˆã¯å¤šè§’å½¢ã«ãªã‚‹ã€‚\\ +  線種  \>"dr, n" , "da,m,n" , "do,m,n"\\ + +\end{tabbing} +例:原点ä¸å¿ƒï¼ŒåŠå¾„ï¼’ã®å††ã‚’æã \verb|Circledata("1",[[0,0],[2,0]]);|\\ +  Aä¸å¿ƒï¼ŒåŠå¾„ABã®å†† ã‚’æã \verb|Circledata([A,B]);|\\ +  Aä¸å¿ƒï¼ŒåŠå¾„ï¼’ã®å†† ã‚’æã \verb|Circledata([A,A+[2,0]]);|\\ +  3点A,B,Cを通る円をæã  \verb|Circledata([A,B,C]);|\\ +   ã“ã®å ´åˆï¼Œã§ããŸå††ã®ä¸å¿ƒã‚’ \verb|Pointdata("1",[crABCcenter]);| ã§\\ +   作図ã§ãる。\\ +  下図左より,Aä¸å¿ƒï¼ŒåŠå¾„ABã®å†† ã‚’\\ +   太ã•ï¼’ã®å®Ÿç·šã§æã \verb|Circledata([A,B],["dr,2"]);|\\ +ã€€ã€€ã€€ç ´ç·šã§æã     \verb|Circledata([A,B],["da"]);|\\ +   点線ã§æã     \verb|Circledata([A,B],["do"]);|\\ + \\ +\input{Fig/circledata1} + \\ +例:Aä¸å¿ƒï¼ŒåŠå¾„AB,ä¸å¿ƒè§’60°ã®å¼§ã‚’æã。\\ +  \verb|Circledata([A,B],["Rng=[0,pi/3]"]); |\\ + ã“ã®ã¨ã,扇型をæãã®ã§ã‚ã‚Œã°ï¼Œ2本ã®åŠå¾„を引ãå¿…è¦ãŒã‚る。ãã®ãŸã‚ã«ã¯ï¼ŒAãŒåŽŸç‚¹ï¼ŒBãŒx軸上ã«ã‚ã‚Œã°ï¼Œç‚¹A,B以外ã«ã‚‚ã†ã²ã¨ã¤ç‚¹Cã‚’ã¨ã‚Šï¼Œãã®ä½ç½®ã‚’ CindyScript を用ã„㦠+\begin{verbatim} +  C.xy=|A,B|*[cos(pi/3),sin(pi/3)] +\end{verbatim} + ã§æŒ‡å®šã—,扇型ãŒã§ããŸã®ã‚’確ã‹ã‚ã¦ã‹ã‚‰ï¼Œ\verb|Listplot([B,A,C])| ã‚’ä»˜åŠ ã™ã‚Œã°ã‚ˆã„。\\ +\\ +       \input{Fig/circledata2}\\ +\\ + 辺ABãŒ$x$軸ã¨å¹³è¡Œã§ãªã„å ´åˆã¯ï¼Œè§’ã®ç¯„囲ã¯ï¼ã‹ã‚‰ã§ã¯ãªã,ABãŒ$x$軸ã¨ãªã™è§’ã‹ã‚‰å§‹ã‚ã‚‹å¿…è¦ãŒã‚り,ã¡ã‚‡ã£ã¨ã—ãŸå·¥å¤«ãŒå¿…è¦ã§ã‚る。ä¸å¿ƒAãŒåŽŸç‚¹ã§ãªã„å ´åˆã‚‚å«ã‚,次ã®ã‚ˆã†ãªã‚¹ã‚¯ãƒªãƒ—トã§å®Ÿç¾ã§ãる。\begin{verbatim} +  th=arctan2(B.xy-A.xy); +  str="Rng=["+text(th+0)+","+text(th+pi/3)+"]"; +  C.xy=A.xy+|A,B|*[cos(th+pi/3),sin(th+pi/3)]; +  Circledata([A,B],[str]); +  Listplot([B,A,C]); +\end{verbatim} +1行目ã¯ï¼ŒABãŒ$x$軸ã¨ãªã™è§’ã‚’ arctan2 関数 ã«ã‚ˆã£ã¦æ±‚ã‚ã¦ã„る。\\ +2行目ã¯å¼•æ•°ã®æ–‡å—列を作ã£ã¦ã„る。th+0 , th+pi/3 ã«ã‚ˆã‚Šå¼§åº¦æ³•ã«ã—ã¦ã„る。ã“ã“ã§ï¼Œ+0 ãŒå¿…è¦ã§ã‚る。\\ +\\ +       \input{Fig/circledata3}\\ +\\ + +複数ã®ã‚ªãƒ—ションをリストã§ä¸Žãˆã‚‹ã“ã¨ã‚‚ã§ãる。\\ + +例:弧を太ãæã\\ +  \verb|Circledata([C,D],["dr,3","Rng=[0,pi/3]"]);|\\ + + 円ã¯NãŒå¤§ããªå€¤ã®æ£N多角形ã¨ã—ã¦æã„ã¦ã„る。optionã® ["Num=数値"] ã«ã‚ˆã£ã¦ãã®ç´°ã‹ã•ã‚’指定ã§ãる。Nã®å€¤ãŒå°ã•ã‘ã‚Œã°æ£å¤šè§’å½¢ãŒæã‘ã‚‹ã“ã¨ã«ãªã‚‹ã€‚\\ +例:Aä¸å¿ƒï¼ŒåŠå¾„ABã®å††ã¨ï¼Œãã®å††ã«å†…接ã™ã‚‹æ£å…角形 +\begin{verbatim} +  Circledata("1",[A,B]); +  Circledata("2",[A,B],["Num=6"]); +\end{verbatim} +        \input{Fig/circledata4}\\ +ã“ã“ã§ï¼ŒåŒã˜[A,B]を使ã†ãŸã‚,nameを付与ã—ã¦åŒºåˆ¥ã™ã‚‹å¿…è¦ãŒã‚る。\\ +ã¾ãŸï¼Œé ‚点ã®ä½ç½®ã‚’変ãˆã‚‹ã®ã§ã‚ã‚Œã°ï¼ŒRng= オプションを使ã†ã€‚\\ +  \verb|Circledata("2",[A,B],["Num=6","Rng=[pi/6,13/6*pi]"]);|\\ +        \input{Fig/circledata5}\\ +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} + +\hypertarget{crosspoint}{} +\item[関数] Crosspoint(name , PD1 ,PD2 , 範囲) +\item[機能] 2曲線ã®äº¤ç‚¹ã‚’作る +\item[説明] 曲線1ã¨æ›²ç·š2ã®ç¯„囲ã«ã‚る交点を作る。曲線1ã¨æ›²ç·šï¼’ã¯ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã®å称。\\ +範囲ã¯ï¼Œäº¤ç‚¹ãŒå˜åœ¨ã™ã‚‹ç¯„囲を指定ã™ã‚‹ã€‚\\ + +例:3次曲線ã®æŽ¥ç·šãŒãã®æ›²ç·šã¨äº¤ã‚る点を求ã‚る。\\ +2点A,Bを作図ツールã§é©å½“ãªã¨ã“ã‚ã«ã¨ã‚Šï¼Œæ¬¡ã®ã‚¹ã‚¯ãƒªãƒ—トã§3次曲線をæã。 +\begin{verbatim} +  f(x):=x^3-4*x; +  g(x):=d(f(#),A.x)*(x-A.x)+A.y; +  A.y=f(A.x); +  B.y=g(B.x); +  Plotdata("1","f(x)","x"); +  Lineplot([A,B]); +\end{verbatim} +1行目ã¨ï¼’行目ã§3次曲線ã¨ãã®æŽ¥ç·šã‚’定義ã—,点A,Bã‚’ãã®ä¸Šã«ä¹—ã›ã¦ã„る。\\ +Plotdata() 㨠Lineplot() ã«ã‚ˆã‚Šï¼Œ3次曲線ã¨æŽ¥ç·šã®ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ãŒã§ãる。\\ +ãã‚Œãžã‚Œã®å称ã¯ã‚³ãƒ³ã‚½ãƒ¼ãƒ«ã«å‡ºåŠ›ã•ã‚Œã‚‹ã€‚3次曲線㯠gr1 , 接線㯠lnAB ã§ã‚る。\\ +ã¾ãŸï¼Œå›³ã‚’見ã¦ï¼Œäº¤ç‚¹ã®ã‚ã‚‹å ´æ‰€ã‚’ç¢ºèªã—ã¦ç¯„囲を決ã‚る。\\ +プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿åã¨ç¯„囲を用ã„ã¦æ¬¡ã®ã‚¹ã‚¯ãƒªãƒ—ãƒˆã‚’è¿½åŠ ã™ã‚‹ã€‚\\ + +  \verb|Crosspoint("C",gr1,lnAB,[1,2]);|\\ + +ã“ã‚Œã§ï¼Œäº¤ç‚¹ï¼£ãŒæ–°ãŸã«ä½œã‚‰ã‚Œã‚‹ã€‚\\ +å¿…è¦ã«å¿œã˜ï¼ŒLetter関数ã§ç‚¹ã®åå‰ã‚’表示ã™ã‚‹ã¨æ¬¡ã®ã‚ˆã†ã«ãªã‚‹ã€‚\\ +\\ +        \input{Fig/crosspoint}\\ + \\ +交点ãŒå˜åœ¨ã—ãªã„å ´åˆï¼ŒPD1ã®ç«¯ç‚¹ã«ç‚¹ãŒä½œã‚‰ã‚Œã‚‹ã€‚\\ +2曲線ã®äº¤ç‚¹ã‚’作るã®ã«ï¼Œ\hyperlink{putintersect}{Putintersect(点å,PD1,PD2)} 関数を用ã„ã‚‹ã“ã¨ã‚‚ã§ãる。\\ +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} +\hypertarget{deqplot}{} +\item[関数] Deqplot(name,å¼ï¼Œå¤‰æ•°å,åˆæœŸå€¤ï¼Œoptions) +\item[機能] 微分方程å¼ã®è§£æ›²ç·šã‚’æã +\item[説明] 微分方程å¼ã¨åˆæœŸå€¤ã‚’与ãˆã¦è§£æ›²ç·šã‚’æã。\\ + \\ +例:$y''=-y$ã§ï¼ŒåˆæœŸå€¤ãŒ$x=0$ã®ã¨ã$y=1,y'=0$ ã®è§£æ›²ç·š\\ + +  \verb|Deqplot("1","y``=-y","x",0, [1,0]); |\\ + +       \input{Fig/deqplot1}\\ + +例:$y'=y*(1-y)$ã§ï¼Œ$x=0$ã®ã¨ã,$y=0.5$ã®è§£æ›²ç·š\\ + +  \verb|Deqplot("2","y`=y*(1-y)","x",0, 0.5,["Num=100"]);| \\ + +       \input{Fig/deqplot2}\\ + +例:$[x,y]'=[x(1-y),0.3y(x-1)]$ã§ï¼Œå¤‰æ•°ã¯$t$,$t=0$(区間ã®å·¦ç«¯ï¼‰ã®ã¨ãã®$x, y$ã®å€¤ãŒ1ã¨0.5 ã§ã‚ã‚‹ã¨ãã®è§£æ›²ç·š +\begin{verbatim} +   Deqplot("3","[x,y]`=[x*(1-y),0.3*y*(x-1)]","t=[0,20]", +                 [1,0.5],["Num=200"]); +\end{verbatim} + \\ +       \input{Fig/deqplot3}\\ + \\ + ãªãŠï¼Œã“ã®ä¾‹ã§ã¯ï¼ŒCinderellaã®ç”»é¢ä¸Šã®å›³ã¯èª¤å·®ãŒå¤§ããã¦æ£ç¢ºãªå›³ã«ã¯ãªã‚‰ãªã„ãŒï¼Œ\TeX ã«å‡ºåŠ›ã™ã‚‹å›³ã¯æ£ç¢ºãªå›³ã«ãªã‚‹ã€‚解åƒåº¦ã‚’上ã’ã‚‹(Numã®æ•°ã‚’大ããã™ã‚‹)ã“ã¨ã«ã‚ˆã‚Šï¼ŒCinderellaã®ç”»é¢ä¸Šã®å›³ã‚‚æ£ç¢ºãªå›³ã«è¿‘ã¥ã。\\ + +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} + +\hypertarget{drwpt}{} +\item[関数] Drwpt(点,option), Drawpoint(点,options) +\item[機能] 点を表示ã™ã‚‹ +\item[説明] 座標ã¾ãŸã¯å¹¾ä½•ç‚¹ã®è˜åˆ¥åを与ãˆã¦ç‚¹ã‚’表示ã™ã‚‹ã€‚ã“ã‚Œã ã‘ã§ã¯Cinderellaã®æç”»é¢ã«ã¯æã‹ã‚Œãªã„ã®ã§ï¼Œæç”»é¢ã«ã‚‚表示ã™ã‚‹ã«ã¯Cinderellaã®ä½œå›³ãƒ„ールã§ä½œå›³ã™ã‚‹ã‹ï¼ŒPointdata() ã¾ãŸã¯ Putpoint() を用ã„る。\\ + 複数ã®ç‚¹ã®å ´åˆã¯åº§æ¨™ã¾ãŸã¯è˜åˆ¥åã¯ãƒªã‚¹ãƒˆã§ä¸Žãˆã‚‹ã€‚\\ + optionã«æ•°å— 0 を入れるã¨ï¼Œç™½æŠœãã§è¡¨ç¤ºã™ã‚‹ã€‚ãªãŠç™½æŠœãã®å ´åˆã¯ï¼ŒPtsize()ã§ç‚¹ã®å¤§ãã•ã‚’å°‘ã—大ãã‚ã«ã¨ã‚‹ã¨ã‚ˆã„。\\ + å¯èªæ€§ã‚’高ã‚ã‚‹ã¨ãã¯Drawpointを推奨ã™ã‚‹ã€‚\\ + +例:座標(1,1)ã¨(4,3)ã«ç‚¹ã‚’表示ã™ã‚‹ã€‚Cinderellaã®æç”»é¢ã«ã¯æã‹ã‚Œãªã„。\\ +   \verb|Drwpt([[1,1],[4,3]]);|\\ + +例:Cinderellaã§ç‚¹A,B,Cを作図ã—ã¦ãŠã,\TeX ã§è¡¨ç¤ºã™ã‚‹ã€‚\\ +   \verb|Drwpt([A,B,C]); |\\ + +例:線分ABã®å³ç«¯ï¼ˆB)を白抜ãã§è¡¨ç¤ºã™ã‚‹ +\begin{verbatim} +   Ptsize(5); +   Listplot([A,B]); +   Drawpoint(B,0); +\end{verbatim} + \\ +    \input{Fig/drawpoint}\\ +※ Drawpoint([A,B],0); ã¨ã™ã‚Œã°ï¼Œä¸¡ç«¯ãŒç™½æŠœãã«ãªã‚‹ã€‚\\ +\\ +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} + +\hypertarget{drawsegmark}{} +\item[関数] Drawsegmark(name,リスト,options)ã¾ãŸã¯ Segmark(name,リスト,options) +\item[機能] 線分ã«å°ã‚’ã¤ã‘ã‚‹ +\item[説明] リストã§ä¸Žãˆã‚‰ã‚ŒãŸï¼’点を端点ã¨ã™ã‚‹ç·šåˆ†ã«å°ã‚’ã¤ã‘る。å°ã«ã¯ï¼”種類ãŒã‚る。\\ + optionsã¯ï¼Œ\\ +  Type=n:n=1〜4:å°ã®ç¨®é¡ž\\ +  Width:二本線ã®ã¨ãã®ç·šã®å¹…\\ + 例:Listplot()ã§å››è§’å½¢ABCDã‚’æã線分ã«å°ã‚’ã¤ã‘ãŸã€‚ +\begin{verbatim} +   Segmark("1",[A,B],["Type=1"]); +   Segmark("2",[B,C],["Type=2","Width=1.5"]); +   Segmark("3",[C,D],["Type=3"]); +   Segmark("4",[D,A],["Type=4"]); +\end{verbatim} +    \input{Fig/segmark} + +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} + +\hypertarget{expr}{} +\item[関数] Expr([座標 , ä½ç½® , æ–‡å—列]) +\item[機能] \TeX 記法ã®æ–‡å—列を与ãˆã¦æ•°å¼ã‚’書ã。 +\item[説明] Letterã§æ–‡å—列ã®å‰å¾Œã«\$ \$ã‚’ãŠãã®ã¨åŒã˜ã€‚\\ + 導関数ã®è¨˜å·ï¼ˆã‚·ãƒ³ã‚°ãƒ«ã‚¯ã‚¦ã‚©ãƒ¼ãƒˆï¼‰$'$ã¯ï¼ŒScilab ã§ã®ã‚·ãƒ³ã‚°ãƒ«ã‚¯ã‚¦ã‚©ãƒ¼ãƒˆã®ä½¿ç”¨ã¨ã¶ã¤ã‹ã‚‹ã®ã§ï¼Œ$`$(ãƒãƒƒã‚¯ã‚¯ã‚¦ã‚©ãƒ¼ãƒˆï¼‰ã‚’用ã„る。\\ + 複数ã®ç®‡æ‰€ã«æ–‡å—を書ãå ´åˆã¯ï¼ŒLetter() ã¨åŒæ§˜ï¼Œå¼•æ•°ã‚’リストã«ã—ã¦ä¸Žãˆã‚‹ã€‚\\ + +例 $f(x)=\dfrac{1}{4} x^2$ ã¨ãã®å°Žé–¢æ•° $f'(x)=\dfrac{1}{2} x$ ã®å¼ï¼Œè»¸ä¸Šã«å¿…è¦ãªæ•°ã‚’入れる。 +\begin{verbatim} +   Expr([[-3,3],"e","f(x)=\frac{1}{4} x^2",[3,1.5],"s2e2", +      "f‘(x)=\frac{1}{2}x",[2,0],"s","2",[0,1],"w","1"]); +\end{verbatim} + \\ +     \input{Fig/expr}\\ + +  ※原点OãŒç·šã¨é‡ãªã£ã¦ã„る。ä½ç½®ã‚’ãšã‚‰ã™ã«ã¯ï¼ŒSetax() ã®é …ã‚’å‚ç…§ã®ã“ã¨ã€‚\\ + +例 対数関数ã®å®šç©åˆ†ã®è¨˜å·ãŠã‚ˆã³ç©åˆ†å€¤ã‚’図ã«æ›¸ã込む。\\ +  下図ã§ï¼Œå®šç©åˆ†ã®è¡¨ç¤ºã®éƒ¨åˆ†ã¯çŸ¢ç·šã‚’PQã¨ã—ã¦ï¼Œ +\begin{verbatim} +   Arrowdata(Q,P); +   Expr([Q+[0.2,0],"ne","\displaystyle \int_a^b \log x\,dx="+ +      text(L.x*(log(L.x)-1)-G.x*(log(G.x)-1)) ]); +\end{verbatim} +  ã§è¡¨ç¤ºã—ã¦ã„る。\\ +  \verb|L.x*(log(L.x)-1)-G.x*(log(G.x)-1)| ã¯ï¼Œç‚¹L,G(図ã®$a,b$)をドラッグã—ã¦\\ +  ç©åˆ†ç¯„囲を決ã‚るよã†ã«ã—ã¦ã„ã‚‹ã®ã§ï¼Œãã“ã‹ã‚‰è¨ˆç®—ã—ãŸå€¤ã€‚\\ +\\ + +     \input{Fig/intlog} + +\hypertarget{exprrot}{} +\item[関数] Exprrot([座標 , å‘ã , æ–‡å—列]) +\item[機能] \TeX 記法ã®æ–‡å—列を与ãˆã¦å‚¾ã„ãŸæ•°å¼ã‚’書ã。 +\item[説明] 「座標ã€ã®ä½ç½®ã«ï¼ŒæŒ‡å®šã•ã‚ŒãŸå‘ãã§æ•°å¼ã‚’書ã。\\ + å‘ãã¯ãƒ™ã‚¯ãƒˆãƒ«ã§ä¸Žãˆã‚‹ã€‚\\ + 座標,å‘ãã¨ã‚‚,Cinderellaã§ä½œå›³ã—ãŸå¹¾ä½•ç‚¹ã‚’用ã„ã‚‹ã“ã¨ãŒã§ãる。\\ + A(1,1),B(3,2),C(0,2) ã®ã¨ã,次ã®ï¼’ã¤ã®ã‚¹ã‚¯ãƒªãƒ—トã¯åŒã˜çµæžœã«ãªã‚‹ã€‚ +\begin{verbatim} +   Exprrot(C,B-A,"\sqrt{3}"); +   Exprrot([0,2],[2,1],"\sqrt{3}"); +\end{verbatim} + \\ + +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} + +\hypertarget{ellipseplot}{} +\item[関数] Ellipseplot(name,点リスト ,定義域, options) +\item[機能] 焦点ã¨é€šã‚‹ç‚¹ã‚’与ãˆã¦æ¥•å††ã‚’æã。 +\item[説明] 点リストã§ï¼’ã¤ã®ç„¦ç‚¹ã¨é€šã‚‹ç‚¹ã‚’与ãˆã‚‹ã€‚点ã¯Cinderellaã®å¹¾ä½•ç‚¹ãŒä½¿ãˆã‚‹ã€‚\\ + ã¾ãŸï¼Œé€šã‚‹ç‚¹ã®ã‹ã‚ã‚Šã«ï¼Œç„¦ç‚¹ã‹ã‚‰ã®è·é›¢ã®å’Œã‚’実数ã§ä¸Žãˆã‚‹ã“ã¨ã‚‚ã§ãる。\\ + 実際ã«ã¯ï¼Œåª’介変数表示$x=a \cos \theta,x=b \sin \theta$ を,回転・平行移動ã—ã¦æã„ã¦ã„る。定義域ã¯ã“ã®ã¨ãã®$t$ã®å®šç¾©åŸŸã§ï¼Œçœç•¥ã‚‚å¯èƒ½ã€‚çœç•¥ã—ãŸã¨ãã®åˆæœŸå€¤ã¯[-5,5]\\ + +例:点A,Bを焦点ã¨ã™ã‚‹æ¥•å††ã‚’æã。\\ +  \verb|Ellipseplot("1",[A,B,C]);|  点Cを通る楕円をæã。\\ +  \verb|Ellipseplot("1",[A,B,4]);|  焦点ã‹ã‚‰ã®è·é›¢ã®å’ŒãŒï¼”ã§ã‚る楕円をæã。\\ +  \verb|Ellipseplot("1",[A,B,C],"[0,pi]");|  楕円ã®åŠåˆ†ã‚’æã。\\ + \\ +例:Cinderellaã®ä½œå›³ãƒ„ールã«ï¼Œç„¦ç‚¹ã¨é€šã‚‹ç‚¹ã§æ¥•å††ã‚’æãã‚‚ã®ãŒã‚る。ã¾ãŸï¼Œç‚¹ã®æ¥µç·šã‚’æãツールãŒã‚る。ã“れを利用ã™ã‚‹ã¨ï¼Œæ¥•å††ä¸Šã«ã¨ã£ãŸç‚¹ã‚’インシデントã«ã§ãã‚‹ã®ã§ï¼Œã‚¤ãƒ³ã‚¿ãƒ©ã‚¯ãƒ†ã‚£ãƒ–ã«å›³ã‚’変更ã™ã‚‹ã“ã¨ãŒã§ãる。ã“ã®Cinderellaã®ä½œå›³æ©Ÿèƒ½ã¨åˆã‚ã›ã¦ï¼Œä¸€æ–¹ã®ç„¦ç‚¹ã‹ã‚‰å‡ºãŸå…‰ãŒæ¥•å††ä¸Šã§åå°„ã—ã¦ä»–æ–¹ã®ç„¦ç‚¹ã«è‡³ã‚‹ï¼Œã¨ã„ã†å›³ã‚’次ã®ã‚ˆã†ã«ã—ã¦æãã“ã¨ãŒã§ãる。\\ + ã¾ãšï¼Œï¼“ã¤ã®ç‚¹A,B,Cを作図ã™ã‚‹ã€‚次ã«ã€Œç„¦ç‚¹ã¨é€šã‚‹ç‚¹ã§æ±ºã¾ã‚‹æ¥•å††ã€ãƒ„ールをé¸ã³ï¼Œç‚¹A,B,Cã‚’é †ã«æŒ‡å®šã™ã‚‹ã¨ï¼Œæ¥•å††ãŒæã‹ã‚Œã‚‹ã€‚\\ + + モードメニューã®ã€Œç›´ç·šã€ã‹ã‚‰ã€Œç‚¹ã®æ¥µç·šã€ã‚’é¸ã³ï¼Œç‚¹Cã¨æ¥•å††ã‚’é †ã«æŒ‡å®šã™ã‚‹ã¨æŽ¥ç·šãŒå¼•ã‹ã‚Œã‚‹ã€‚\\ +ã€€ã€Œåž‚ç·šã‚’åŠ ãˆã‚‹ã€ãƒ„ールを用ã„ã¦ï¼Œç‚¹Cã§åž‚線,ã™ãªã‚ã¡æ³•ç·šã‚’引ã。\\ +ã€€ã€Œç‚¹ã‚’åŠ ãˆã‚‹ã€ãƒ„ールを用ã„ã¦ï¼ŒæŽ¥ç·šï¼Œæ³•ç·šä¸Šã«é©å½“ã«ç‚¹ã‚’å–る。(D,Eã¨ãªã£ãŸã¨ã™ã‚‹)\\ + 次ã®ã‚¹ã‚¯ãƒªãƒ—トを書ã„ã¦å®Ÿè¡Œã™ã‚‹ã¨ï¼Œæ¥•å††ã«é–¢ã—ã¦å…¥å°„角ã¨å射角ãŒç‰ã—ããªã‚‹ã‚ˆã†ã«å…‰ãŒåå°„ã™ã‚‹æ§˜åを図ã«ã™ã‚‹ã“ã¨ãŒã§ãる。 +\begin{verbatim} +  Ellipseplot("1",[A,B,C]); +  Lineplot([C,D]); +  Lineplot([C,E]); +  Arrowdata([A,C]); +  Arrowdata([C,B]); +  Anglemark([A,C,B]); +  Expr([A,"s2","F_1",B,"s2","F_2"]); +\end{verbatim} + \\ +  \input{Fig/ellipseplot1}\\ + + ã¾ãŸï¼ŒæŽ¥ç·šï¼Œæ³•ç·šã‚’æã‹ãšï¼Œã“ã®æ¥•å††ä¸Šã«ç‚¹D,E,・・をã¨ã‚Šï¼ˆå€‹æ•°ã¯ä»»æ„)次ã®ã‚¹ã‚¯ãƒªãƒ—トを書ã‘ã°ï¼Œä½•æœ¬ã‹ã®å…‰ç·šãŒä¸€æ–¹ã®ç„¦ç‚¹ã‚’出ã¦ä»–æ–¹ã®ç„¦ç‚¹ã«é›†ã¾ã‚‹æ§˜åã‚’æãã“ã¨ãŒã§ãる。 +\begin{verbatim} +  Ellipseplot("1",[A,B,C]); +  Listplot([A,C,B]); +  Listplot([A,D,B]); +  Listplot([A,E,B]); +  Expr([A,"s2","F_1",B,"s2","F_2"]); +\end{verbatim} + \\ +  \input{Fig/ellipseplot2}\\ + \\ + +\hypertarget{framedata}{} +\item[関数] Framedata(name , リスト) +\item[関数] Framedata2(name ,[P1,P2]) +\item[機能] 矩形をæã +\item[説明] ä¸å¿ƒã®åº§æ¨™ï¼Œæ¨ªï¼Œç¸¦ã‚’リスト[ä¸å¿ƒ ,横 , 縦]ã§ä¸Žãˆï¼ŒçŸ©å½¢ã‚’æã。横,縦ã¯ä¸å¿ƒã‹ã‚‰ã®è·é›¢ã€‚\\ + ä¸å¿ƒã®åº§æ¨™ã¯ç‚¹ã®åå‰ã§ã‚‚よã„。\\ + ä¸å¿ƒã‚’座標ã§ä¸Žãˆã‚‹å ´åˆã¯nameã¯çœç•¥ã§ããªã„。\\ + 横,縦ã¯ï¼ŒçŸ©å½¢ã®é ‚点を示ã™ç‚¹ã«ã™ã‚‹ã“ã¨ã‚‚ã§ãる。\\ + ä¸å¿ƒï¼Œæ¨ªï¼Œç¸¦ã‚’çœç•¥ã—ãŸå ´åˆã¯ï¼Œæ画範囲ã¨åŒä¸€ã®çŸ©å½¢ã‚’æã\\ + Framedata2() ã§ã¯ï¼Œå¯¾è§’点(左下P1ã¨å³ä¸ŠP2)をリストã§ä¸Žãˆã‚‹ã€‚\\ + 以下ã«ã„ãã¤ã‹ä¾‹ã‚’示ã™\\ + \verb|Framedata("1");|      æ画範囲ã¨åŒä¸€ã®çŸ©å½¢ã‚’æã\\ + \verb|Framedata("2",[[0,0],2,2]);|  原点をä¸å¿ƒã¨ã™ã‚‹ç¸¦æ¨ªå¹…ï¼”ã®æ£æ–¹å½¢ã‚’æã\\ + \verb|Framedata("3",[A,3,2]);|    点Aã‚’ä¸å¿ƒã¨ã™ã‚‹æ¨ªï¼–,縦4ã®çŸ©å½¢ã‚’æã\\ + \verb|Framedata([A,3,2]);|  ä¸å¿ƒãŒç‚¹ã®å称ã®å ´åˆã¯nameã¯çœç•¥ã§ãる。\\ + \verb|Framedata([A,B]);|   点Aã‚’ä¸å¿ƒï¼Œç‚¹Bã‚’é ‚ç‚¹ã®ã²ã¨ã¤ã¨ã™ã‚‹çŸ©å½¢ã‚’æã\\ +    矩形ã®è§’を丸ã‚ãŸã„å ´åˆã¯ï¼ŒOvaldata(name, 点リスト,options)を使ã†ã€‚\\ + \verb|Framedata2("1",[A,B]);|  点A,Bを対角点ã¨ã™ã‚‹çŸ©å½¢ã‚’æã\\ + \\ + +\hypertarget{hyperbolaplot}{} +\item[関数] Hyperbolaplot(name,点リスト ,定義域, options) +\item[機能] 焦点ã¨é€šã‚‹ç‚¹ã‚’与ãˆã¦åŒæ›²ç·šã‚’æã。 +\item[説明] 点リストã§ï¼’ã¤ã®ç„¦ç‚¹ã¨é€šã‚‹ç‚¹ã‚’与ãˆã‚‹ã€‚点ã¯Cinderellaã®å¹¾ä½•ç‚¹ãŒä½¿ãˆã‚‹ã€‚ã¾ãŸï¼Œé€šã‚‹ç‚¹ã®ã‹ã‚ã‚Šã«ï¼Œç„¦ç‚¹ã‹ã‚‰ã®è·é›¢ã®å·®ã‚’実数ã§ä¸Žãˆã‚‹ã“ã¨ã‚‚ã§ãる。\\ + 実際ã«ã¯ï¼Œãƒã‚¤ãƒ‘ボリック関数を用ã„ãŸåª’介変数表示 $x=\cosh t,y=\sinh t$を回転・平行移動ã—ã¦ã„る。 + optionã¨ã—ã¦ï¼Œ"Asy=線種" を与ãˆã‚‹ã¨ï¼Œæ¼¸è¿‘線を指定ã—ãŸç·šç¨®ã§è¡¨ç¤ºã™ã‚‹ã€‚デフォルトã§ã¯æ¼¸è¿‘ç·šã¯éžè¡¨ç¤ºã€‚\\ + +例:点A,Bを焦点ã¨ã™ã‚‹åŒæ›²ç·šã‚’æã。\\ +  \verb|Hyperbolaplot("1",[A,B,C]);|   点Cを通るåŒæ›²ç·šã‚’æã。\\ +  \verb|Hyperbolaplot("1",[A,B,2]);|   焦点ã‹ã‚‰ã®è·é›¢ã®å·®ãŒ2ã®åŒæ›²ç·šã‚’æã。\\ +  \verb|Hyperbolaplot("1",[A,B,C],["Asy=do"]);|  漸近線を点線ã§æã。\\ + +     \input{Fig/hyper1}\\ + +\hypertarget{parabolaplot}{} +\item[関数] Parabolaplot(name,点リスト ,定義域, options) +\item[機能] 点リスト[A,B,C]ã§ç¤ºã•ã‚ŒãŸç„¦ç‚¹ï¼Œæº–ç·šã§æ±ºã¾ã‚‹æ”¾ç‰©ç·šã‚’æã。 +\item[説明] 焦点Aã¨æº–ç·šBCã§æ±ºå®šã™ã‚‹æ”¾ç‰©ç·šã‚’æã。\\ + 実際ã«ã¯ï¼Œï¼’次関数 $y=x^2$ã®ã‚°ãƒ©ãƒ•ã‚’回転・平行移動ã—ã¦æã„ã¦ãŠã‚Šï¼Œå®šç¾©åŸŸã¯ï¼Œ$y=x^2$ã§ã®å®šç¾©åŸŸã¨è€ƒãˆã¦ã‚ˆã„。定義域ã¯çœç•¥ã™ã‚‹ã“ã¨ã‚‚ã§ãる。çœç•¥ã—ãŸã¨ãã®åˆæœŸå€¤ã¯[-5,5]\\ + +例:点Aを焦点,直線BCを準線ã¨ã™ã‚‹æ”¾ç‰©ç·šã‚’æã\\ +   \verb|Parabolaplot("1",[A,B,C]); |\\ +   \verb|Parabolaplot("1",[A,B,C],"[-5,5]");|  定義域を $-5 \leqq x \leqq 5$ ã¨ã™ã‚‹ã€‚\\ +  点(0,1)を焦点,直線$y=-1$を準線ã¨ã™ã‚‹æ”¾ç‰©ç·šã‚’æã\\ +   \verb|Parabolaplot("1",[[0,1],[-1,-1],[1,-1]]);|\\ + \\ +例:放物線上ã®ï¼’点ã§å¼•ã‹ã‚ŒãŸæŽ¥ç·šã¨æ”¾ç‰©ç·šã§å›²ã¾ã‚ŒãŸé ˜åŸŸã‚’斜線ã§æã。\\ + Cinderellaã®ä½œå›³ãƒ„ールã«ï¼Œç„¦ç‚¹ã¨æº–ç·šã§æ”¾ç‰©ç·šã‚’æãã‚‚ã®ãŒã‚る。ã¾ãŸï¼Œç‚¹ã®æ¥µç·šã‚’æãツールãŒã‚る。ã“れを利用ã™ã‚‹ã¨ï¼Œæ”¾ç‰©ç·šä¸Šã«ã¨ã£ãŸç‚¹ã‚’インシデントã«ã§ãã‚‹ã®ã§ï¼Œã‚¤ãƒ³ã‚¿ãƒ©ã‚¯ãƒ†ã‚£ãƒ–ã«å›³ã‚’変更ã™ã‚‹ã“ã¨ãŒã§ãる。ã“ã®Cinderellaã®ä½œå›³æ©Ÿèƒ½ã¨åˆã‚ã›ã¦ï¼Œæ¬¡ã®æ‰‹é †ã§å›³ã‚’æã。\\ + ã¾ãšï¼Œç„¦ç‚¹A(0,1)ã¨æº–ç·š$y=1$:BCを作図ã™ã‚‹ã€‚次ã«ã€Œç„¦ç‚¹ã¨æº–ç·šã§æ±ºã¾ã‚‹æ”¾ç‰©ç·šã€ãƒ„ールをé¸ã³ï¼Œç‚¹Aã¨ç›´ç·šBCを指定ã™ã‚‹ã¨ï¼Œæ”¾ç‰©ç·šãŒæã‹ã‚Œã‚‹ã€‚方程å¼ã§ã¯$y=\dfrac{1}{4}x^2$ã®æ”¾ç‰©ç·šã§ã‚る。\\ + 次ã«ï¼Œæ”¾ç‰©ç·šä¸Šã«ç‚¹D,Eã‚’ã¨ã‚‹ã€‚Cinderellaã®ä½œå›³æ©Ÿèƒ½ã‚’用ã„ã¦ã„ã‚‹ã®ã§ï¼Œã“ã®ï¼’点ã¯æ”¾ç‰©ç·šä¸Šã ã‘ã‚’å‹•ã‹ã™ã“ã¨ãŒã§ãる。(インシデント)\\ + モードメニューã®ã€Œç›´ç·šã€ã‹ã‚‰ã€Œç‚¹ã®æ¥µç·šã€ã‚’é¸ã³ï¼Œç‚¹Dã¨æ”¾ç‰©ç·šï¼Œç‚¹Eã¨æ”¾ç‰©ç·šã‚’é †ã«æŒ‡å®šã™ã‚‹ã¨æŽ¥ç·šãŒå¼•ã‹ã‚Œã‚‹ã€‚ãã®äº¤ç‚¹ã«ç‚¹ã‚’å–る。\\ + \\ +      \includegraphics[bb=0 0 964 826 , width=6cm]{Fig/parabolaplot.png}\\ + \\ + 以上ã§ä½œå›³ãŒã§ããŸã®ã§ï¼Œæ¬¡ã®ã‚¹ã‚¯ãƒªãƒ—トを書ã„ã¦å®Ÿè¡Œã™ã‚‹ã€‚ +\begin{verbatim} +  Parabolaplot("1",[A,B,C]); +  Lineplot([D,F]); +  Lineplot([E,F]); +  Listplot([E,F,D]); +  Hatchdata("1",["ii"],[["gr1para","s"],["sgEFD","n"]]); +\end{verbatim} + \\ + ã“ã‚Œã§ï¼Œæ¬¡å›³ãŒã§ãる。ã“ã®ã‚ã¨ï¼Œæ–‡å—ãªã©ã¯é©å½“ã«è¿½åŠ ã™ã‚‹ã€‚\\ + \\ +           \input{Fig/parabolaplot} + \\ +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} + \\ +\hypertarget{ovaldata}{} +\item[関数] Ovaldata(name, 点リスト,options) +\item[機能] 角を丸ãã—ãŸçŸ©å½¢ã‚’æã +\item[説明] ä¸å¿ƒã¨å¯¾è§’ã®ï¼‘点を指定ã—,角を丸ãã—ãŸçŸ©å½¢ã‚’æã\\ + optionsã¯ï¼Œè§’ã®è½ã¨ã—å…·åˆã¨ç·šç¨®ãªã©ã€‚デフォルトã¯0.2 \\ + +例:ã„ãã¤ã‹ã®ä¾‹ã‚’示ã™ã€‚ +\begin{verbatim} +  Ovaldata("1", [A,B]); +  Ovaldata("2", [C,D],[0]); +  Ovaldata("3", [E,F],[1,"dr,3"]); +  Ovaldata("4", [G,H],[1.5,"da"]); +\end{verbatim} + \input{Fig/ovaldata}\\ + \\ +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} + +\hypertarget{htickmark}{} +\item[関数] Htickmark([横座標 , æ–¹å‘ , æ–‡å—]) +\item[機能] 横軸ã«ç›®ç››ã‚’書ã。 +\item[説明] Scilabã®ã¿ã§å®Ÿè¡Œã™ã‚‹ã€‚Cinderellaã®æç”»é¢ã«ã¯åæ˜ ã•ã‚Œãªã„。引数ã¯ä½ç½®ï¼ˆæ¨ªåº§æ¨™ï¼‰ï¼Œæ–¹å‘,文å—。複数点ã®æƒ…å ±ã‚’[ ]内ã«ã¾ã¨ã‚ã¦è¨˜å…¥ã§ãる。\\ + +例 点$(2,\ 0)$ã®å—西å´ã«$2$を表示ã™ã‚‹ã€‚\\ +  \verb|Htickmark([2,"sw","2"]);|\\ + +例 -5ã‹ã‚‰5ã¾ã§ã®ç›®ç››ã‚’打ã¤ã€‚\\ + Cindyscriptã®ãƒªã‚¹ãƒˆå‡¦ç†ã‚’使ã£ã¦ï¼Œæ¬¡ã®ã‚ˆã†ã«å¼•æ•°ã®ãƒªã‚¹ãƒˆã‚’作ã£ã¦æ¸¡ã™ã€‚ +\begin{verbatim} +  memori=apply(-5..5,x,[x,"s",text(x)]); +  memori=flatten(remove(memori,[[0,"s","0"]])); +  Htickmark(memori); +\end{verbatim} + 1行目,apply ã®ã‚«ãƒƒã‚³å†…ã® -5..5 ã§ãƒªã‚¹ãƒˆ[-5,-4,-3,-2,-1,0,1,2,3,4,5] ãŒã§ãる。\\ + ãれを用ã„ã¦ï¼Œapplyã§[æ•°, "s",æ•°ã®æ–‡å—] ã‹ã‚‰ãªã‚‹ãƒªã‚¹ãƒˆãŒã§ãる。text(x) ã¯xã‚’æ–‡å—ã«ã™ã‚‹é–¢æ•°ã€‚\\ + 2行目ã§ï¼Œã“ã®ãƒªã‚¹ãƒˆã‹ã‚‰ï¼Œ[0,"s","0"]を除ã,リストを平滑化ã™ã‚‹ã€‚\\ + çµæžœã¯æ¬¡ã®ã‚ˆã†ã«ãªã‚‹ã€‚\\ + +\input{Fig/htickmark}\\ + +\hypertarget{vtickmark}{} +\item[関数] Vtickmark([横座標 , æ–¹å‘ , æ–‡å—]) +\item[機能] 縦軸ã«ç›®ç››ã‚’書ã。 +\item[説明] Htickmarkã¨åŒæ§˜ã€‚縦軸ã«ç›®ç››ã‚’書ã。\\ + +例:点$(0,\ 1),\ (0,\ 2)$ã®è¥¿å´ã«$1,\ 2$を表示ã™ã‚‹ã€‚\\ +  \verb|Htickmark([1,"w","1",2,"w","2"]);|\\ +\\ + +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} + +\hypertarget{implicitplot}{} +\item[関数] Implicitplot(name,å¼,xã®å®šç¾©åŸŸ,yã®å®šç¾©åŸŸ, options) +\item[機能] 陰関数ã®ã‚°ãƒ©ãƒ•ã‚’æã。 +\item[説明] 陰関数ã®å¼ã‚’与ãˆã¦ã‚°ãƒ©ãƒ•ã‚’æã。å¼ï¼Œå®šç¾©åŸŸã¨ã‚‚æ–‡å—列。\\ + options ã¯ï¼Œ"r","m","Wait=n" ãŒæŒ‡å®šã§ãる。Wait ã®åˆæœŸå€¤ã¯10。\\ + "r","m"ã«é–¢ã—ã¦ã¯ï¼Œã‚ªãƒ—ションãªã—ã¾ãŸã¯ï¼Œâ€â€ ã®ã¨ã\\ +  i) データファイルãŒãªã‘ã‚Œã°ï¼Œæ–°ã—ã作る\\ +  ii) データファイルãŒæ—¢ã«ã‚ã‚Œã°ãれをèªã¿è¾¼ã‚€\\ + "m" ã®ã¨ã,強制的ã«ãƒ‡ãƒ¼ã‚¿ãƒ•ã‚¡ã‚¤ãƒ«ã‚’作り直ã™ã€‚\\ + "r" ã®ã¨ã,ã™ã§ã«ã‚るデータファイルをèªã¿è¾¼ã‚€ã€‚\\ + +例:楕円をæã„ã¦ï¼Œä¸ã«ãƒãƒƒãƒã‚’ã‹ã‘る。 +\begin{verbatim} +  Implicitplot("1","x^2+2*y^2=4","x=[-2,2]","y=[-2,2]"); +  Hatchdata("1","i",["imp1"]); +\end{verbatim} + 注)ã“ã“ã§ï¼Œyã®å®šç¾©åŸŸã¯å®Ÿéš›ã‚ˆã‚Šåºƒãã¨ã£ã¦ã‚る。"y=[-1,1]" ã¨ã™ã‚‹ã¨ï¼Œä¸Šä¸‹ãŒæ¬ ã‘ãŸæ¥•å††ã«ãªã‚‹ã€‚曲線ã ã‘ãªã‚‰ãã‚Œã§ã‚ˆã„ãŒï¼Œãã®å ´åˆï¼Œé–‰æ›²ç·šã§ã¯ãªã„ã®ã§Hatchdata() ã§ç„¡ç”¨ã«æ™‚é–“ãŒã‹ã‹ã£ã¦ã—ã¾ã†ã®ã§è¦æ³¨æ„。\\ + \\ + +\hypertarget{letter}{}\item[関数] Letter([ä½ç½®, æ–¹å‘, æ–‡å—列]) +\item[機能] 文å—列を表示ã™ã‚‹ +\item[説明] 「ä½ç½®ï¼ˆåº§æ¨™ï¼‰ã€ã¨æ–¹å‘ã§æŒ‡å®šã•ã‚ŒãŸå ´æ‰€ã«æ–‡å—を書ã込む。\\ + ä½ç½®ï¼ˆåº§æ¨™ï¼‰ã¯ç‚¹ã®åå‰ã§æŒ‡å®šã™ã‚‹ã“ã¨ã‚‚ã§ãã‚‹ã€‚å ´æ‰€ã¯ä¸Šä¸‹å·¦å³ä¸å¤®ï¼ˆ n/s/w/e/c )ã®æ–¹å‘ã§è¡¨ã™ã€‚(n/s/w/e ã¯æ±è¥¿å—北ã®è¨˜å·ï¼‰\\ + \\ +       \input{Fig/letter4}\\ + 指定ä½ç½®ã‹ã‚‰ã®è·é›¢ã‚’,数値ã§ä¸Žãˆã‚‹ã“ã¨ã‚‚ã§ã,e2, e3 㯠e より少ã—離ã—ã¦ç½®ã。\\ + 複数ã®æ–‡å—列をリストã®å½¢ã«ã—ã¦æ¸¡ã™ã“ã¨ãŒã§ãる。\\ + 注)導関数ã®è¨˜å·$'$ã¯ï¼Œæ•°å¼ãƒ¢ãƒ¼ãƒ‰ï¼ˆ\$ ã§ã¯ã•ã‚€ï¼‰ã§$`$(ãƒãƒƒã‚¯ã‚¯ã‚¦ã‚©ãƒ¼ãƒˆï¼‰ã‚’用ã„る。\\ + +例:座標 (2,1) ã®å—æ±ã«ï¼°ã‚’表示\\ +    \verb|Letter([2,1] ,"se","P");|\\ +  点Cをä¸å¤®ã¨ã—ã¦ï¼£ã‚’表示\\ +    \verb|Letter(C ,"c", "C");|\\ +  点Aã®å—西ã«A,Eã®å—ã«æ•°å¼ã‚’表示\\ +    \verb|Letter([A,"sw","A",E,"s","$ f(x)=\frac{1}{4} x^2 $"]);| \\ + \\ +%\input{Fig/letter3} + +\hypertarget{letterrot}{}\item[関数] Letterrot(座標, æ–¹å‘ベクトル,移動é‡, æ–‡å—列) +\item[機能] 文å—列を回転ã—ã¦è¡¨ç¤ºã™ã‚‹ +\item[説明] 座標ã§ç¤ºã•ã‚ŒãŸä½ç½®ã«ï¼Œæ–¹å‘ベクトルã§æŒ‡å®šã•ã‚ŒãŸå‘ãã«å›žè»¢ã—ã¦æ–‡å—を書ã込む。\\ + 第3引数ã¯å¾®å°ç§»å‹•é‡ã§ï¼Œç•¥ã™ã“ã¨ã‚‚ã§ãる。\\ + A(1,1),B(3,2),C(0,2) ã®ã¨ã,次ã®ã‚¹ã‚¯ãƒªãƒ—トã¯åŒã˜çµæžœã«ãªã‚‹ã€‚ +\begin{verbatim} +   Letterrot([0,2],[2,1],2,5,"AB"); +   Letterrot([0,2],B-A,2,5,"AB"); +   Letterrot(C,B-A,2,5,"AB"); +   Letterrot(C,B-A,"t2n5","AB"); +\end{verbatim} + 移動é‡ã‚’ç•¥ã—ã¦\\ +   \verb|Letterrot(C,B-A,"AB");|\\ + ã¨ã™ã‚‹ã“ã¨ã‚‚ã§ãる。ã“ã®å ´åˆã¯ï¼Œå¾®å°ãªç§»å‹•ã¯ã•ã‚Œãªã„。\\ + + +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} + +\hypertarget{lineplot}{} +\item[関数] Lineplot(name , 2点ã®ãƒªã‚¹ãƒˆ , options) +\item[機能] 2点ã®ãƒªã‚¹ãƒˆã§ç¤ºã•ã‚ŒãŸç‚¹ã‚’çµã¶ç›´ç·šã‚’æã。プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿åã®é 部㯠ln +\item[説明] 2点ã®ãƒªã‚¹ãƒˆã¯åº§æ¨™ã¾ãŸã¯å¹¾ä½•è¦ç´ ã®åå‰ã§ä¸Žãˆã‚‹ã€‚\\ +  options ã¯æ¬¡ã®é€šã‚Šã€‚\\ +   線種   "dr, n" , "da,m,n" , "do,m,n"\\ +   "+"   åŠç›´ç·šã‚’æã。\\ +  "dr" , "da" , "do" 㨠"+" ã¯ãƒªã‚¹ãƒˆã«ã—ã¦ä¸¡æ–¹æŒ‡å®šã™ã‚‹ã“ã¨ãŒã§ãる。\\ + 点ã®ãƒªã‚¹ãƒˆãŒï¼Œåº§æ¨™ã§ã¯ãªã幾何è¦ç´ åã®ãƒªã‚¹ãƒˆã®å ´åˆã¯ï¼Œnameã¯çœç•¥ã§ãる。\\ + ã„ãã¤ã‹ä¾‹ã‚’示ã™ã€‚\\ +   å„座標をçµã¶ç›´ç·šã‚’引ã\\ +      \verb|Lineplot("1",[[0,0],[1,2]])| \\ +   Cinderellaã®æ画ツールã§ï¼’点A,Bã‚’ã¨ã£ã¦ãŠã,直線ABを引ã\\ +     \verb|Lineplot([A,B]);| \\ + optionã®åƒãã®ä¾‹\\ +   \verb|Lineplot([A,B],["dr,0.5","+"]);|  Aを端点ã¨ã™ã‚‹åŠç›´ç·šã‚’引ã\\ +   \verb|Lineplot([C,D],["dr,2"]);|    直線CDを太ã•2ã§æã\\ +   \verb|Lineplot([E,F],["da"]);|     直線EFã‚’ç ´ç·šã§æã\\ +   \verb|Lineplot([G,H],["do"]);|     直線GHを点線ã§æã\\ + çµæžœã¯ï¼Œæ¬¡å›³å·¦ä¸Šã‹ã‚‰ã€‚\\ + +      \input{Fig/lineplot}\\ + +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} +\newpage + +\hypertarget{listplot}{} +\item[関数] Listplot(name , 点ã®ãƒªã‚¹ãƒˆ , options) +\item[機能] 点ã®ãƒªã‚¹ãƒˆã§ç¤ºã•ã‚ŒãŸç‚¹ã‚’çµã¶ã€‚プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿åã®é 部㯠sg +\item[説明] 点ã®ãƒªã‚¹ãƒˆã¯åº§æ¨™ã¾ãŸã¯å¹¾ä½•è¦ç´ åã®ãƒªã‚¹ãƒˆã§ä¸Žãˆã‚‹ã€‚点ãŒï¼Œåº§æ¨™ã§ã¯ãªã幾何è¦ç´ åã®å ´åˆã¯ï¼Œnameã¯çœç•¥å¯ \\ + プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã®åå‰ã¯ï¼Œ"sg" ã«å¼•æ•°ã® name ã‚’ä»˜åŠ ã—ãŸã‚‚ã®ã¨ãªã‚‹ã€‚\\ + options ã¯æ¬¡ã®é€šã‚Šã€‚\\ +  線種   "dr, n" , "da,m,n" , "do,m,n" +\begin{tabbing} +1234567890123456789012345678901234\=\kill + optionsã®ä½¿ç”¨ä¾‹\\ +  \verb|Listplot([A,B]);|      \>線分ABã‚’æã。太ã•ã¯ãƒ‡ãƒ•ã‚©ãƒ«ãƒˆã€‚\\ +  \verb|Listplot([C,D],["dr,2"]);|   \>線分ABã‚’æã。太ã•ï¼’\\ +  \verb|Listplot([E,F],["da"]);|    \>線分ABã‚’ç ´ç·šã§æã\\ +  \verb|Listplot([G,H],["da,3,1"]);|  \>線分ABã‚’ç ´ç·šã§æã。線を長ã\\ +  \verb|Listplot([K,L],["da,1,3"]);|   \>線分ABã‚’ç ´ç·šã§æã。間隔を空ã‘ã‚‹\\ +  \verb|Listplot([M,N],["do"]);|   \>線分ABを点線ã§æã。\\ +  \verb|Listplot([O,P],["do,3"]);|   \>線分ABを点線ã§æã。間隔を空ã‘ã‚‹\\ +  \verb|Listplot([Q,R],["do,3,3"]);|  \>線分ABを点線ã§æã。間隔を空ã‘ã¦å¤ªã\\ + çµæžœã¯æ¬¡å›³å·¦ã‹ã‚‰ã€‚ +\end{tabbing} +  \input{Fig/listplot3} + + 例 : Cinderellaã®ä½œå›³ãƒ„ールã§ä¸‰è§’å½¢ABCã‚’æã„ã¦ãŠã。 +\begin{verbatim} +     Listplot([A,B,C,A]); +     Addax(0); +\end{verbatim} +    \input{Fig/listplot1}\\ +   å„åº§æ¨™ã‚’é ‚ç‚¹ã¨ã™ã‚‹ä¸‰è§’形をæã\\ +    \verb|Listplot("1",[[0,0],[2,0],[1,2],[0,0]]);| +\\ + プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã¯ç‚¹ã®åº§æ¨™ã®ãƒªã‚¹ãƒˆã§ã‚る。ã—ãŸãŒã£ã¦ï¼Œãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã‚’自作ã—ã¦Listplot()ã§è¡¨ç¤ºã™ã‚‹ã“ã¨ãŒã§ãる。\\ + \\ +例:有é™ãƒ•ãƒ¼ãƒªã‚¨ç´šæ•°å±•é–‹\\ +         \[\cfrac{\pi}{2}+\sum_{n=0}^{30} \cfrac{1-(-1)^n}{n}\sin nx\] +次ã®ã‚ˆã†ã«Cindyscriptã§é–¢æ•°ã‚’定義ã—,プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿pd を作ã£ã¦å¼•æ•°ã«æ¸¡ã™ã€‚ +\begin{verbatim} + f(x):=( +  s=pi/2; +  repeat(30,n,s=s+(1-(-1)|^n)/n*sin(n*x)); + ); + pd=apply(0..200,t, +  x=-2*pi+t*4*pi/200; +  [x,f(x)]; + ); + Listplot("1",pd); + Expr([[-2*pi,-0.5],"s","-2\pi",[-pi,-0.5],"s","-\pi",[pi,-0.5],"s", +   "\pi",[2*pi,-0.5],"s","2\pi",[0,pi],"w2","\pi"]); +\end{verbatim} + \\ +\begin{center} +\input{Fig/fourier} +\end{center} + \\ + リストã®é•·ã•ã«ã¯åˆ¶é™ãŒã‚ã‚‹ãŸã‚,ã‚ã¾ã‚Šé•·ã„リストを用ã„ãŸã‚Šï¼Œä½•åº¦ã‚‚用ã„ãŸã‚Šã™ã‚‹ã“ã¨ãŒã§ããªã„。ãŸã¨ãˆã°ï¼Œã‚¿ãƒ¼ãƒˆãƒ«ã‚°ãƒ©ãƒ•ã‚£ã‚¯ã‚¹ã‚’用ã„ãŸã‚·ã‚§ãƒ«ãƒ”ンスã‚ーã®ã‚®ãƒ£ã‚¹ã‚±ãƒƒãƒˆã§ã¯ï¼Œæ¬¡ã®ã‚µã‚¤ã‚ºãらã„ã¯å¯èƒ½ã ãŒï¼Œæ¤ç‰©ã®æˆé•·ãƒ¢ãƒ‡ãƒ«ã§ã¯åˆ†å²ãŒå¤šã„ãŸã‚ã‚ã¾ã‚Šå¤§ããªå›³ã¯ã§ããªã„。スクリプトを工夫ã—ã¦ï¼Œ200ãらã„ãšã¤ã®ãƒªã‚¹ãƒˆã«åˆ†å‰²ã™ã‚‹ã€‚\\ +      \input{Fig/listplot2} + \\ + \\ +\hypertarget{mesegmets}{} +\item[関数] Mksegments() +\item[機能] 幾何線分ã®ã™ã¹ã¦ã®PD ã‚’ä½œæˆ +\item[説明] Ketinit() ã®ç›´å¾Œã«ç½®ãã“ã¨ã«ã‚ˆã‚Šï¼ŒCinderellaã®ä½œå›³ãƒ„ールã§æã„ãŸã™ã¹ã¦ã®ç·šåˆ†ã‚’ãã®ã¾ã¾ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã¨ã™ã‚‹ã€‚ãŸã¨ãˆã°ï¼Œç·šåˆ†ABを作るã¨ï¼Œãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿sgABãŒä½œæˆã•ã‚Œã‚‹ã€‚ãã®å¾Œï¼Œã‚¤ãƒ³ã‚¹ãƒšã‚¯ã‚¿ã§ç‚¹Bã®è˜åˆ¥åを変更(ãŸã¨ãˆã°Qã«ï¼‰ã™ã‚‹ã¨ï¼Œãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿åも変更ã•ã‚Œã‚‹ã€‚線分ã¯ã™ã§ã«æã‹ã‚Œã¦ã„ã¦ã‚‚よã„。\\ + +\hypertarget{mkcircle}{} +\item[関数] Mkcircles() +\item[機能] 幾何円ã®ã™ã¹ã¦ã®PD ã‚’ä½œæˆ +\item[説明] Ketinit() ã®ç›´å¾Œã«ç½®ãã“ã¨ã«ã‚ˆã‚Šï¼ŒCinderellaã®ä½œå›³ãƒ„ールã®ã€Œå††ã‚’åŠ ãˆã‚‹ã€ã§æã„ãŸã™ã¹ã¦ã®å††ã‚’ãã®ã¾ã¾ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã¨ã™ã‚‹ã€‚ãŸã¨ãˆã°ï¼Œä¸å¿ƒA,円周上ã®ç‚¹ã‚’Bã¨ã—ãŸå††ã‚’作るã¨ï¼Œãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿crABãŒä½œæˆã•ã‚Œã‚‹ã€‚ãã®å¾Œï¼Œã‚¤ãƒ³ã‚¹ãƒšã‚¯ã‚¿ã§ç‚¹Bã®è˜åˆ¥åを変更(ãŸã¨ãˆã°Qã«ï¼‰ã™ã‚‹ã¨ï¼Œãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿åも変更ã•ã‚Œã‚‹ã€‚円ã¯ã™ã§ã«æã‹ã‚Œã¦ã„ã¦ã‚‚よã„。\\ +\\ + +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} + +\hypertarget{mkbeziercrv}{} +\item[関数] Mkbeziercrv(åå‰,[[節点リスト,制御点リスト],[節点リスト,制御点リスト],...],\\ +\hfill[オプション] ) +\item[機能] 複数ã®ãƒ™ã‚¸ã‚¨æ›²ç·šã‚’æã +\item[説明] å˜ç‹¬ã®ãƒ™ã‚¸ã‚¨æ›²ç·šã®å ´åˆã¯ãƒªã‚¹ãƒˆã®å¤–å´ã®[ ]ã¯ãªãã¦ã‚‚よã„。\\ +Mkbeziercrv|(åå‰ï¼Œ[節点リスト,制御点リスト],[オプション] ) ã¯\\ +Bezier(åå‰ï¼Œç¯€ç‚¹ãƒªã‚¹ãƒˆï¼Œåˆ¶å¾¡ç‚¹ãƒªã‚¹ãƒˆï¼Œ[オプション] ) ã¨åŒã˜ã€‚ + + +\vspace{2mm} + +例:\verb|Mkbeziercrv("n",[[A,B,C],[[D],[E,F]]]);| ã¯\\ +  \verb|Bezier("n",[A,B,C],[[D],[E,F]]);| ã¨åŒã˜ã€‚\\ +  曲線ã®åå‰ãŒ bzn ã§ã¯ãªã bzn1 ã¨ãªã‚‹ã€‚ + +\vspace{2mm} + +\begin{layer}{150}{0} +\putnotese{30}{45}{bz51} +\putnotese{90}{45}{bz52} +\putnotese{0}{5}{\input{Fig/checkmc1}} +\end{layer} + +複数ã®å ´åˆã¯ï¼Œ\verb|[ [ptlist1,ctrlist1], [ptlist2,ctrlist2],... ]| + +\verb|Mkbeziercrv("5",[[[A,B,C],[[D],[E,F]]],[[G,H,K,L],[[M],[N,O],[P]]]]);| + +\vspace{40mm} +\begin{verbatim} +ptlist1=[A,B,C];ctrlist1=[[D],[E,F]];list1=[ptlist1,ctrlist1]; +ptlist2=[G,H,K,L];ctrlist2=[[M],[N,O],[P]];list2=[ptlist2,ctrlist2]; +list=[list1,list2]; +Mkbeziercrv("5",list); +\end{verbatim} +ãªã©ã¨ã—ã¦ã‚‚åŒã˜ã€‚ + \\ + \\ +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} + +\hypertarget{mkbezierptcrv}{} +\item[関数] Mkbezierptcrv(節点リストptlist,[オプション] ) +\item[機能] ベジエ曲線をæã +\item[説明] 制御点ã¯ï¼Œè‡ªå‹•çš„ã«é…ç½®ã•ã‚Œã‚‹ã€‚ãã®å¾Œï¼Œç¯€ç‚¹ã‚„制御点を動ã‹ã—ã¦ï¼Œ +æããŸã„ã‚‚ã®ã«ã™ã‚‹ã€‚ + +複数ã®å ´åˆã¯ã€€[ ptlist1, ptlist2.... ] + +åå‰ã¯ï¼ŒA ã‹ã‚‰é †ã«è‡ªå‹•çš„ã«ã¤ã‘る。 + +オプション + +"Deg=...â€ã€€æ¬¡æ•°æŒ‡å®šãŒã§ãる。(デフォルトã¯ï¼“次) + +"Num=..." å„区間ã®åŒºé–“数(分点数ー1)を指定ã§ãる。(デフォルトã¯10) + +\vspace{5mm} + +例: + +\begin{layer}{150}{0} +\putnotese{50}{15}{bzA} +\putnotese{50}{-5}{\input{Fig/checkb8}} +\end{layer} + +\verb|Mkbezierptcrv([A,B,C]);| + + +\vspace{25mm} + +\begin{layer}{150}{0} +\putnotese{50}{15}{bzA} +\putnotese{60}{-10}{\input{Fig/checkb11}} +\end{layer} + +ãã®å¾Œï¼Œç¯€ç‚¹ã‚„制御点を動ã‹ã—ã¦ï¼Œ + +æããŸã„ã‚‚ã®ã«ã™ã‚‹ã€‚ + +\vspace{30mm} + +\begin{layer}{150}{0} +\putnotese{80}{25}{bzA} +\putnotese{50}{-5}{\input{Fig/checkb9}} +\end{layer} + +\verb|Mkbezierptcrv([A,B,C],["Deg=2"]);| + +Deg=2 ã¨ã™ã‚‹ã¨ï¼’次ã«ãªã‚‹ã€‚ + +制御点ã¯å„区間ã«ï¼‘個ãšã¤ã§ãる。 + +\vspace{20mm} + +\begin{layer}{150}{0} +\putnotese{20}{45}{bzA} +\putnotese{80}{45}{bzB} +\putnotese{0}{10}{\input{Fig/checkb10}} +\end{layer} + +複数ã®å ´åˆã¯ã€€[ ptlist1, ptlist2.... ] + +\verb|Mkbezierptcrv([[A,B,C],[D,E,F,G]]);| + +\vspace{25mm} + \\ + + +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} +\hypertarget{paramark}{} +\item[関数] Paramark(点リスト , options) +\item[機能] 点リスト[A,B,C]ã§ç¤ºã•ã‚ŒãŸè§’ã«å¹³è¡Œå››è¾ºå½¢ã®å½¢çŠ¶ã®è§’ã®å°ã‚’ã¤ã‘る。 +\item[説明] optionsã¯æ¬¡ã®é€šã‚Šã€‚\\ +  数値   角ã®å°ã®å¤§ãã•ã€‚デフォルトã¯ï¼‘\\ +  線種   "dr, n" , "da,m,n" , "do,m,n"\\ +  "Expr=æ–‡å—" : æ–‡å—を入れる\\ +  "Expr=ä½ç½® , æ–‡å—" : ä½ç½®ã‚’指定ã—ã¦æ–‡å—を入れる。ä½ç½®ã¯é ‚点ã‹ã‚‰ã®è·é›¢ã€‚\\ + +例:三角形ã®å†…角ã«å°ã‚’ã„れ,文å—を書ã込む。 +\begin{verbatim} +   Paramark([B,A,C]); +   Paramark([C,B,A],[3,"Expr=B"]); +   Paramark([A,C,B],["dr,2","Expr=2,C"]); +\end{verbatim} + \input{Fig/paramark}\\ + +※角ã®å°ã«ã¯å¼§ã®å½¢çŠ¶ã®ã‚‚ã®ã‚‚ã‚る。Anglemark() ã‚’å‚ç…§ã®ã“ã¨ã€‚\\ + +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} + +\hypertarget{paramplot}{} +\item[関数] Paramplot(name , å¼ , 変数ã¨å®šç¾©åŸŸ,options) +\item[機能] 媒介変数表示ã®æ›²ç·šã‚’æã。プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã®é 部㯠gp +\item[説明] å¼ã¯""ã§ããã£ãŸåª’介変数表示ã®ãƒªã‚¹ãƒˆã§ä¸Žãˆã‚‹ã€‚\\ + 定義域も " " ã§ããã£ã¦æ–‡å—列ã¨ã—,t=ã«ç¶šã„ã¦ãƒªã‚¹ãƒˆã§æŒ‡å®šã™ã‚‹ã€‚\\ + options ã¯ç·šç¨®ãŒæœ‰åŠ¹\\ + +例:サイクãƒã‚¤ãƒ‰æ›²ç·šã‚’æã。\\ +  \verb|Paramplot("1","[t-sin(t),1-cos(t)]","t=[0,2*pi]");|\\ + +\input{Fig/paramplot1}\\ +\begin{verbatim} + Deffun("fx(t)", ["regional(x)","x=t-sin(t)","x"]); + Deffun("fy(t)", ["regional(y)","y=1-cos(t)","y"]); + Paramplot("1","[fx(t),fy(t)]","t=[0,2*pi]"); +\end{verbatim} +ã¨ã™ã‚Œã°ï¼Œé–¢æ•°å®šç¾©ã‚‚ Scilab ã«å¼•ã継ãŒã‚Œã‚‹ã€‚\\ + \\ +optionsã®ä½¿ç”¨ä¾‹ã€‚å·¦ã‹ã‚‰ï¼Œãƒ‡ãƒ•ã‚©ãƒ«ãƒˆï¼Œå¤ªç·šï¼Œç ´ç·šï¼Œç‚¹ç·šã®æ¥•å†† +\begin{verbatim} + Paramplot("1","[2*cos(t),sin(t)]","t=[0,2*pi]"); + Paramplot("2","[2*cos(t)+5,sin(t)]","t=[0,2*pi]",["dr,2"]); + Paramplot("3","[2*cos(t),sin(t)+3]","t=[0,2*pi]",["da"]); + Paramplot("4","[2*cos(t)+5,sin(t)+3]","t=[0,2*pi]",["do"]); +\end{verbatim} +\input{Fig/paramplot2} +\\ + +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} + +\hypertarget{plotdata}{} +\item[関数] Plotdata(name , å¼ , 変数ã¨å®šç¾©åŸŸ , options) +\item[機能] 関数ã®ã‚°ãƒ©ãƒ•ã‚’æã。プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã®åå‰ã¯ï¼Œgr +\item[説明] å¼ã§è¡¨ã•ã‚ŒãŸé–¢æ•°ã®ã‚°ãƒ©ãƒ•ã‚’,指定ã•ã‚ŒãŸå®šç¾©åŸŸã§æã。\\ + å¼ï¼Œå®šç¾©åŸŸã¯ " " ã§ããã£ã¦æ–‡å—列ã¨ã™ã‚‹ã€‚定義域ã¯x=ã«ç¶šã„ã¦ãƒªã‚¹ãƒˆã§æŒ‡å®šã€‚\\ + options ã¯æ¬¡ã®é€šã‚Šã€‚ +\begin{tabbing} +12345678901234567890123\=\kill +  線種   \>"dr, n" , "da,m,n" , "do,m,n"\\ +  "Num=数値"    \>æ画時ã®åˆ†å‰²æ•°\\ +  "Dis=数値"    \>値ãŒæŒ‡å®šæ•°å€¤ä»¥ä¸Šã‚¸ãƒ£ãƒ³ãƒ—ã™ã‚‹å ´åˆã¯ä¸é€£ç¶šç‚¹ã¨ã¿ãªã™ã€‚\\ +  "Exc=数値リスト \>リストã§ç¤ºã•ã‚ŒãŸç‚¹ã¯é™¤å¤–ã™ã‚‹ã€‚\\ +  "Exc=関数"   \>関数ã®é›¶ç‚¹ã¯é™¤å¤–ã™ã‚‹ã€‚\\ +\end{tabbing} + 例:2次関数 $f(x)=x^2-2x$ ã®ã‚°ãƒ©ãƒ•ã‚’定義域指定ãªã—ã§æã。\\ +   \verb|Plotdata("1","x^2-2*x","x");|\\ + \\ +  \input{Fig/plotdata1} + \\ + \\ + 例:三角関数 $2\sin \left(2x-\dfrac{\pi}{4} \right)$  ã®ã‚°ãƒ©ãƒ•ã‚’,定義域 $0 \leqq x \leqq 2 \pi$ã§æã。\\ +    \verb|Plotdata("3","2*sin(2*x-pi/4)","x=[0,2*pi]");|\\ + \\ +    \input{Fig/plotdata2} + \\ + CindyScript ã§ã¯ï¼Œplot( å¼ , 定義域 ); ã§æããŒï¼Œ \ketcindy を用ã„ã‚‹ã¨ãã¯ï¼ŒCindyScript ã®plot 関数ã®ã‹ã‚ã‚Šã«ï¼Œã“ã®Plotdata を使ãˆã°ã‚ˆã„。\\ + 軸ã«æ•°å—を入れるã®ã§ã‚ã‚Œã°ï¼ŒLetter() を用ã„る。\\ + +optionsã®ä½¿ç”¨ä¾‹\\ + \verb|Plotdata("1","sin(x)","x");| $f(x)=$sin$x$ ã®ã‚°ãƒ©ãƒ•ã‚’æã(デフォルト)\\ + \verb|Plotdata("2","sin(x)+1","x",["dr,2"]);| åŒã˜ã,太ã•ï¼’ã§æã\\ + \verb|Plotdata("3","sin(x)+2","x",["da"]);|  åŒã˜ãï¼Œç ´ç·šã§æã\\ + \verb|Plotdata("4","sin(x)+3","x",["do"]);|  åŒã˜ã,点線ã§æã\\ +çµæžœã¯æ¬¡å›³ä¸Šã‹ã‚‰ã€‚\\ + \\ +     \input{Fig/plotdata3}\\ + + Num=分割数ã®æŒ‡å®š\\ + グラフã®æç”»ã¯ï¼ŒåŒºé–“を分割ã—ã¦é–¢æ•°å€¤ã‚’ã¨ã‚Šï¼Œå„点をçµã¶ã¨ã„ã†é€šå¸¸ã®æ–¹æ³•ã«ã‚ˆã£ã¦ã„る。Nã®æŒ‡å®šã¯ã“ã®åˆ†å‰²æ•°ã®æŒ‡å®šã§ã‚る。デフォルトã¯50。æ€ã†ã‚ˆã†ãªçµæžœãŒå¾—られãªã„å ´åˆã¯ã“ã®å€¤ã‚’大ãã指定ã™ã‚‹ã¨ã‚ˆã„。\\ + 下図左ã¯ãƒ‡ãƒ•ã‚©ãƒ«ãƒˆï¼Œå³ã¯ Num=200 ã¨ã—ãŸã€‚\\ + +    \input{Fig/plotdata4}\\ + + ä¸é€£ç¶šç‚¹ã®æŒ‡å®š\\ + Dis オプションã«ã‚ˆã‚Šï¼Œå€¤ãŒã‚¸ãƒ£ãƒ³ãƒ—ã™ã‚‹ä¸é€£ç¶šç‚¹ã‚’ç·šã§çµã°ãªã„よã†ã«ã™ã‚‹ã€‚Numオプションã¨åˆã‚ã›ã¦ä½¿ã†ã¨åŠ¹æžœãŒä¸ŠãŒã‚‹ã€‚\\ + + 例:$f(x)=$tan$x$ ã®ã‚°ãƒ©ãƒ•ã¯ï¼Œãã®ã¾ã¾ã§ã¯ã‚ãŸã‹ã‚‚漸近線ãŒæã‹ã‚ŒãŸã‚ˆã†ã«ãªã‚‹ãŒï¼Œã“ã‚Œã¯ï¼Œä¸é€£ç¶šç‚¹ã‚’ãã®ã¾ã¾çµã‚“ã§ã„ã‚‹ãŸã‚ã§ã‚る。 +\begin{verbatim} + Deffun("f(x)", ["regional(y)","y=tan(x)","y"]); + Plotdata("1","f(x)","x",["Num=200","Dis=50"]); +\end{verbatim} +ã§æ¼¸è¿‘ç·šãŒæã‹ã‚Œãªããªã‚‹ã€‚\\ + +ã€€ä¾‹ï¼šã‚¬ã‚¦ã‚¹è¨˜å· [$x$] ã§è¡¨ã•ã‚Œã‚‹é–¢æ•°ã®ã‚°ãƒ©ãƒ•ã¯ï¼Œä¸é€£ç¶šãªéšŽæ®µçŠ¶ã«ãªã‚‹ã€‚ã“ã®é–¢æ•°ã¯å¤©äº•é–¢æ•° floor()ã§ã‚ã‚‹ã®ã§ï¼Œ +\begin{verbatim} + Deffun("f(x)", ["regional(y)","y=floor(x)","y"]); + Plotdata("1","f(x)","x",["Num=100","Dis=0.9"]); +\end{verbatim} +ã§ãã‚Œã„ã«æã‘る。\\ + +       \input{Fig/plotdata5}\\ + + 関数ã«æ–‡å—ä¿‚æ•°ãŒã¤ã„ã¦ãŠã‚Šï¼Œæ–‡å—ä¿‚æ•°ã®å€¤ã‚’変化ã•ã›ãªãŒã‚‰ã‚°ãƒ©ãƒ•ã‚’æãã«ã¯ï¼ŒAssign を使ã†ã€‚\\ + \\ + 例:直線 $y=bx-b^2$ ã®ä¿‚æ•°$b$を変化ã•ã›ã¦æã,包絡線をã†ã‹ã³ã‚ãŒã‚‰ã›ã‚‹ã€‚ +\begin{verbatim} +    repeat(50,t, +      cb=t/5-5; +      Plotdata(text(t),Assign("b*x-b\verb|^|2","b",cb),"x");\\ +    ); +\end{verbatim} + \\ +      \input{Fig/assign}\\ + +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} + +\hypertarget{pointdata}{} +\item[関数] Pointdata(name , 点リスト , optionss) +\item[機能] 点を作ã£ã¦Scilabã«ç‚¹ã®ãƒªã‚¹ãƒˆ Pointdata(list)を出力ã™ã‚‹ã€‚ +\item[説明] 点データを作æˆã™ã‚‹ã€‚ã“ã®ç‚¹ã¯ï¼Œå¹¾ä½•è¦ç´ ã§ã¯ãªã„。プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã®é 部㯠pt\\ + 例:\verb|Pointdata("1",[[1,2],[-2,3]]);|\\ +    2ã¤ã®ç‚¹ãƒ‡ãƒ¼ã‚¿ã‚’作る。Cinderellaã®æç”»é¢ã§ã¯ç·‘ã®ç‚¹ã§è¡¨ç¤ºã•ã‚Œã‚‹ã€‚\\ +   \verb|Pointdata("1",[A,B]);|\\ +    作図ã—ãŸç‚¹A,Bã«ã¤ã„ã¦ï¼Œç‚¹ãƒ‡ãƒ¼ã‚¿ã‚’作る。\\ +    Cinderellaã®æç”»é¢ä¸Šã§ã¯æ—¢å˜ã®ç‚¹A,Bã«ç·‘ã®ç‚¹ãŒé‡ãªã£ã¦è¡¨ç¤ºã•ã‚Œã‚‹ã€‚\\ +   \verb|Pointdata("1",A,["size=4"]);|\\ +    Aã®ä½ç½®ã«å¤§ãã•ï¼”ã§ç‚¹ã‚’作る。Ptsize(Setpt) ã®é …ã‚’å‚ç…§ã®ã“ã¨ã€‚\\ +   \verb|Pointdata("1",[A,B],[0]);|\\ +    点データを作り,TeXã«ã‚ªãƒ—ション0(白抜ã)ã§æã\\ +   \verb|Pointdata("1",[[3,4],[5,6]],["notex"]);|\\ +    点データを作るãŒï¼ŒTeXã«ã¯æã‹ãªã„\\ +   \verb|Pointdata("1",[A,B],["nodisp"]);|\\ +    点データを作らãªã„.(戻り値ã¨ã—ã¦è¿”ã™ï¼‰\\ + +  生æˆã•ã‚Œã‚‹ãƒªã‚¹ãƒˆã¯ï¼Œåº§æ¨™ã®ãƒªã‚¹ãƒˆãŒãƒã‚¹ãƒˆã—ãŸå½¢ã«ãªã£ã¦ã„る。\\ +  ãã®å†…容ã¯ï¼Œprintln()を用ã„ã¦ã‚³ãƒ³ã‚½ãƒ¼ãƒ«ã«è¡¨ç¤ºã™ã‚‹ã“ã¨ãŒã§ãる。ãŸã¨ãˆã° + \begin{verbatim} +   Pointdata("1",[[1,2],[3,4],[6,2]]); +   println(pt1); +\end{verbatim} +  ã§ï¼Œã‚³ãƒ³ã‚½ãƒ¼ãƒ«ã«æ¬¡ã®ã‚ˆã†ã«è¡¨ç¤ºã•ã‚Œã‚‹ã€‚ +\begin{verbatim} +   generate pointdata pt1 +   [[[1,2]],[[3,4]],[[6,2]]] +\end{verbatim} + ãƒã‚¹ãƒˆã•ã‚ŒãŸãƒªã‚¹ãƒˆã¯ï¼ŒCindyscriptã® flatten() 関数を利用ã—ã¦å¹³æ»‘化(ãƒã‚¹ãƒˆã‚’解除)ã™ã‚‹ã“ã¨ã«ã‚ˆã‚Šï¼ŒListplot()ã§åˆ©ç”¨ã™ã‚‹ã“ã¨ãŒã§ãる。\\ + \\ + 例:\verb|Ptsize(3);|\\ +   \verb|Pointdata("1",[[1,2],[3,4],[6,2]]);|\\ +   \verb|Listplot("1",flatten(pt1));|\\ +  ã“ã‚Œã§ï¼Œç¯€ç‚¹ã‚’明示ã—ãŸæŠ˜ã‚Œç·šãŒæã‘る。(下図左)\\ +    \verb|Listplot("1",[[1,2],[3,4],[6,2]]);|\\ +   ã§ã¯ç·šåˆ†ã®ã¿ãŒæã‹ã‚Œã‚‹ã€‚(下図å³ï¼‰\\ +    \input{Fig/pointdata}\\ +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} + +\hypertarget{polygonplot}{} +\item[関数] Polygonplot(name , 点リスト , æ•´æ•°,optionss) +\item[機能] 2点を指定ã—ã¦æ£å¤šè§’形をæã。 +\item[説明] 円ã«å†…接ã™ã‚‹æ£å¤šè§’形をæãï¼Œé ‚ç‚¹ã®å¹¾ä½•ç‚¹ã‚’作る。\\ + 例:\verb|Polygonplot("1",[A,B],12);|\\ + 点Aã‚’ä¸å¿ƒã¨ã—,åŠå¾„ABã®å††å‘¨ä¸Šã«ï¼Œç‚¹Bã‹ã‚‰ã‚¹ã‚¿ãƒ¼ãƒˆã—ã¦æ£å二角形ã®é ‚点B1〜B11ã‚’å時計回りã«ä½œã‚Šï¼Œã“れをçµã‚“ã æ£å¤šè§’形をæãã€‚é ‚ç‚¹ã¯å¹¾ä½•ç‚¹ã€‚\\ + 整数ã§ãªã„数を指定ã—ãŸå ´åˆã¯ï¼Œãã¡ã‚“ã¨é–‰ã˜ãªã„折れ線ãŒæã‹ã‚Œã‚‹ã€‚\\ + + +\hypertarget{putintersect}{} +\item[関数] Putintersect(点å , PD1 ,PD2,[No] ) +\item[機能] 2曲線ã®äº¤ç‚¹ã‚’作る +\item[説明] 2曲線ã¯ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿åã§æŒ‡å®šã™ã‚‹ã€‚指定ã—ãŸç‚¹åã§äº¤ç‚¹ã‚’作る。ã“ã®ç‚¹ã¯å¹¾ä½•ç‚¹ã€‚\\ + 交点ãŒï¼’ã¤ä»¥ä¸Šã‚ã‚‹å ´åˆã§ã‚‚,æ画範囲ã«ãã®ã†ã¡ï¼‘ã¤ã ã‘ãŒå˜åœ¨ã™ã‚‹ãªã‚‰ï¼Œãã®ç‚¹ã¨ãªã‚‹ã€‚æ画範囲ã«ï¼’ã¤ä»¥ä¸Šã®äº¤ç‚¹ãŒã‚ã‚‹å ´åˆã¯ï¼Œãれらã®ã†ã¡ã„ãšã‚Œã‹ã«ãªã‚‹ã€‚ã“ã®ã¨ã,コンソールã«äº¤ç‚¹ã®åº§æ¨™ã®ãƒªã‚¹ãƒˆã¨ï¼Œã€ŒChoose point number ã€ã¨ã„ã†ã‚¬ã‚¤ãƒ‰ãŒè¡¨ç¤ºã•ã‚Œã‚‹ã€‚引数ã®Noã¨ã—ã¦ï¼Œãã®ç•ªå·ã‚’指定ã™ã‚‹ã¨ï¼Œãã®ç‚¹ãŒæŽ¡ç”¨ã•ã‚Œã‚‹ã€‚\\ + ã“ã®é–¢æ•°ã§ä½œæˆã•ã‚Œã‚‹ã®ã¯å¹¾ä½•ç‚¹ã ã‘ãªã®ã§ï¼Œ\TeX ã®å›³ã«ç‚¹ã¨ã—ã¦æ˜Žç¤ºã™ã‚‹ãŸã‚ã«ã¯Pointdata()ã§æ›¸ã出ã™å¿…è¦ãŒã‚る。\\ + 次ã®ä¾‹ã¯ï¼Œï¼“次曲線ã¨ç›´ç·šã®äº¤ç‚¹ã‚’3ã¤ã¨ã‚‚å–ã£ãŸã‚‚ã®ã§ã‚る。 +\begin{verbatim} +  Plotdata("1","x^3-4*x","x",["Num=200"]); +  Plotdata("2","1/2*x+1","x"); +  Putintersect("P","gr1","gr2",1); +  Putintersect("Q","gr1","gr2",2); +  Putintersect("R","gr1","gr2",3); +  Pointdata("1",[P,Q,R],["size=4"]); +\end{verbatim} + \\ +           \input{Fig/putintersect}\\ +  \\ +  交点ãŒå˜åœ¨ã—ãªã„å ´åˆã¯ï¼Œã€ŒNo intersect pointã€ãŒã‚³ãƒ³ã‚½ãƒ¼ãƒ«ã«è¡¨ç¤ºã•ã‚Œã‚‹ã€‚\\ + 2曲線ã®äº¤ç‚¹ã‚’作るã®ã«ï¼Œ\hyperlink{crosspoint}{Crosspoint()} 関数を用ã„ã‚‹ã“ã¨ã‚‚ã§ãる。\\ +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} + + +\hypertarget{putpoint}{} +\item[関数] Putpoint(点å , 座標1 ,座標2 ) +\item[機能] 点を作る +\item[説明] è˜åˆ¥åãŒç‚¹åã®ç‚¹ã‚’,既å˜ã§ãªã‘ã‚Œã°åº§æ¨™ï¼‘ã«ä½œã‚‹ã€‚æ—¢å˜ãªã‚‰ã°åº§æ¨™ï¼’ã«ç§»å‹•ã™ã‚‹ã€‚Texã«ã¯å‡ºåŠ›ã•ã‚Œãªã„。\\ + +例:(1,1) ã«å›ºå®šç‚¹Aを作る。 ã“ã®ç‚¹ã¯å‹•ã‹ã™ã“ã¨ãŒã§ããªã„。\\ +   \verb|Putpoint("A",[1,1]);|\\ +  (1,1)ã«è‡ªç”±ç‚¹ã‚’作る。\\ +   \verb|Putpoint("A",[1,1],[A.x,A.y]);|\\ +  ã“ã®ç‚¹ã¯åº§æ¨™ï¼’ã®åŠ¹æžœã«ã‚ˆã‚Šï¼Œè‡ªç”±ç‚¹ã¨ãªã‚Šï¼Œãƒ‰ãƒ©ãƒƒã‚°ã—ã¦å‹•ã‹ã™ã“ã¨ãŒã§ãる。\\ + +実際ã«ã¯ï¼ŒCinderellaã®ä½œå›³ãƒ„ールã§ç‚¹ã‚’å–り,インスペクタã§åå‰ã‚’変更ã™ã‚Œã°ã‚ˆã„ã‚ã‘ã ãŒï¼Œã“ã®å½¢ã§ã¨ã‚Œã°ã‚¹ã‚¯ãƒªãƒ—トã®å¯èªæ€§ãŒå¢—ã™æ„味ãŒã‚る。\\ +注)点åã¯åŠè§’アルファベットã¨ã™ã‚‹ã€‚æ•°å—ã‚„æ¼¢å—ã§ã‚‚Cinderellaã§ã¯ç‚¹ãŒã§ãã‚‹ãŒï¼ŒScilabã§ã‚¨ãƒ©ãƒ¼ã¨ãªã‚‹ã€‚\\ + +\hypertarget{putonline}{} +\item[関数] PutonLine(点å , 座標1 ,座標2 ) +\item[機能] 直線上ã«ç‚¹ã‚’作る +\item[説明] 座標1,座標2を通る直線上ã«ç‚¹åã®ç‚¹ã‚’作る。ã§ããŸç‚¹ã¯ç›´ç·šã«å¯¾ã—ã¦ã‚¤ãƒ³ã‚·ãƒ‡ãƒ³ãƒˆã¨ãªã‚‹ã€‚\\ +例 点A,Bを通る直線上ã«ç‚¹Pã‚’ã¨ã‚‹ã€‚\\ +  \verb|PutonSeg("P",A,P);|\\ + +\hypertarget{putonseg}{} +\item[関数] PutonSeg(点å , 座標1 ,座標2 ) +\item[機能] 線分上ã«ç‚¹ã‚’作る +\item[説明] 座標1,座標2を通る線分上ã«ç‚¹åã®ç‚¹ã‚’作る。ã§ããŸç‚¹ã¯ç·šåˆ†ã«å¯¾ã—ã¦ã‚¤ãƒ³ã‚·ãƒ‡ãƒ³ãƒˆã¨ãªã‚‹ã€‚\\ +例 点A,Bを通る線分上ã«ç‚¹Pã‚’ã¨ã‚‹ã€‚\\ +  \verb|PutonSeg("P",A,P);|\\ + +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} + +\hypertarget{reflextpoint}{} +\item[関数] Reflectpoint(点,対称点ã¾ãŸã¯å¯¾ç§°è»¸) +\item[機能] 点ã®é¡æ˜ ã‚’ä½œæˆ +\item[説明] 点を指定ã•ã‚ŒãŸç‚¹ã¾ãŸã¯è»¸ã«é–¢ã—ã¦å¯¾ç§°ç§»å‹•ã™ã‚‹ã€‚対称軸ã¯[ 点1, 点2 ]ã§æŒ‡å®š\\ + \\ +例:Cã¯Bã«é–¢ã—ã¦Aã¨å¯¾ç§°ãªç‚¹\\ +  Dã¯ç‚¹(2,3)ã«é–¢ã—ã¦Aã¨å¯¾ç§°ãªç‚¹\\ +  Eã¯ç‚¹(1,0) ã«é–¢ã—㦠(-1,1) ã¨å¯¾ç§°ãªç‚¹\\ +  Fã¯ç›´ç·šCEã«é–¢ã—ã¦Aã¨å¯¾ç§°ãªç‚¹\\ +\begin{verbatim} +   C.xy=Reflectpoint(A,B); +   D.xy=Reflectpoint(A,[[2,3]]); +   E.xy=Reflectpoint([-1,1],[[1,0]]); +   F.xy=Reflectpoint(A,[C,E]); +   Lineplot([C,E],["do"]); +\end{verbatim} + \\ +     \input{Fig/reflectpoint}\\ +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} + +\hypertarget{rotatepoint}{} +\item[関数] Rotatepoint(点 ,角度 , ä¸å¿ƒ) +\item[機能] 点ã®ä½ç½®ã‚’回転ã™ã‚‹ +\item[説明] 点を,ä¸å¿ƒã§ç¤ºã•ã‚ŒãŸç‚¹ã®å‘¨ã‚Šã«å›žè»¢ã™ã‚‹ã€‚角度ã¯å¼§åº¦æ³•ã§ä¸Žãˆã‚‹\\ +\begin{spacing}{1.5} +例:点Cã¯Aを,Bã«é–¢ã—ã¦$\dfrac{2}{3}\pi $ã ã‘回転ã—ãŸç‚¹\\ +  点Dã¯ç‚¹(5,2)を,Bã«é–¢ã—ã¦$\dfrac{\pi}{3}$ ã ã‘回転ã—ãŸç‚¹\\ +  点Eã¯ç‚¹(3,0)ã‚’Aã«é–¢ã—㦠$-\dfrac{\pi}{4} $ã ã‘回転ã—ãŸç‚¹ +\end{spacing} +\begin{verbatim} +   C.xy=Rotatepoint(A,2*pi/3,B); +   D.xy=Rotatepoint((5,2),pi/3,B); +   E.xy=Rotatepoint([3,0],-pi/4,A); +\end{verbatim} + \\ +   \input{Fig/rotatepoint}\\ + \\ +%\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} + +\hypertarget{rulerscale}{} +\item[関数] Rulerscale(始点 ,横軸目盛 , 縦軸目盛) +\item[機能] 目盛を打㤠+\item[説明] 始点ã®ä½ç½®ã‚’縦横ã®èµ·ç‚¹ã¨ã—ã¦ç›®ç››ã‚Šã‚’打ã¤ã€‚\\ + 目盛ã¯ãƒªã‚¹ãƒˆã§ä¸Žãˆã‚‹ã€‚\\ + ["r",a,b,c] ã®å½¢å¼ã§ã¯ï¼Œaã‹ã‚‰bã¾ã§cé–“éš”ã§ç›®ç››ã‚’打ã¤ã€‚\\ + ["f",n1,"str",n2,"str",・・] ã®å½¢å¼ã§ã¯ï¼Œnã¨"str"ãŒã‚»ãƒƒãƒˆã§ï¼Œnã®ä½ç½®ã«"str"を書ã。ãŸã ã—,ä½ç½®ã¯Cinderellaã®æç”»é¢ã®åŽŸç‚¹ã‚’0ã¨ã™ã‚‹ã€‚\\ + Framedata() ã¾ãŸã¯ Framedata2() ã¨ã¨ã‚‚ã«ç”¨ã„ã‚‹ã¨çŸ©å½¢ã«ç›®ç››ã‚’打ã¤ã“ã¨ãŒã§ãる。\\ + \\ +例:Aを原点ã«ç½®ã„ãŸçŸ©å½¢æž ã‚’æã,横ã«0,1,2,3,4,5,縦㫠d1,d2 ã®ç›®ç››ã‚’打ã¤ã€‚ +\begin{verbatim} +  Framedata2("1",[A,B]); +  Rulerscale(A,["r",0,5,1],["f",1,"d1",3,"d2"]); +\end{verbatim}  +   \input{Fig/ruler}\\ + \\ + +\hypertarget{scalepoint}{} +\item[関数] Scalepoint(点,比率ベクトル,ä¸å¿ƒ) +\item[機能] 点ã®ä½ç½®ã‚’拡大・縮å°ã™ã‚‹ +\item[説明] 点を,指定ã•ã‚ŒãŸä¸å¿ƒã‚’原点ã¨ã™ã‚‹åº§æ¨™ç³»ã§ï¼Œæ¯”率ベクトルã®åˆ†ã ã‘拡大・縮å°ã—ãŸä½ç½®ã«ç½®ã。\\ + +例:点Cを,点Aを原点ä¸å¿ƒã«æ¨ªã«ï¼“å€ï¼Œç¸¦ã«ï¼’å€ã—ãŸä½ç½®ã«ç½®ã。\\ +  点Dを,点Aを点Bä¸å¿ƒã«æ¨ªã«ï¼“å€ï¼Œç¸¦ã«ï¼’å€ã—ãŸä½ç½®ã«ç½®ã。\\ +  点Fを,点Aを原点ä¸å¿ƒã«ãƒ™ã‚¯ãƒˆãƒ«$\overrightarrow{OE} $ã§ç¤ºã•ã‚ŒãŸæ¯”率ã®ä½ç½®ã«ç½®ã。 +\begin{verbatim} +   C.xy=Scalepoint(A,[3,2],[0,0]); +   D.xy=Scalepoint(A,[3,2],B); +   F.xy=Scalepoint(A,E.xy,[0,0]); +\end{verbatim} +     \input{Fig/scalepoint}\\ + \\ + +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} + +\hypertarget{translatepoint}{} +\item[関数] Translatepoint(点 , 移動ベクトル) +\item[機能] 点を平行移動ã™ã‚‹ +\item[説明] 点を移動ベクトルã§ç¤ºã•ã‚ŒãŸåˆ†ã ã‘平行移動ã™ã‚‹ã€‚\\ +\\ +例:点Cã¯ç‚¹Aã‚’$x$軸方å‘ã«2 , $y$軸方å‘ã«ï¼“ã ã‘平行移動ã—ãŸç‚¹\\ +  点Dã¯ç‚¹Aをベクトル$\overrightarrow{OB} $ã ã‘平行移動ã—ãŸç‚¹ +\begin{verbatim} +   C.xy=Translatepoint(A,[2,3]); +   D.xy=Translatepoint(A,B.xy); +\end{verbatim} + \\ +     \input{Fig/translatepoint} +\end{description} + \\ + +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} +\newpage +% ï¼ï¼ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã®æ“作ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ +\subsection{プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã®æ“作} + +% æ画関数ã§ä½œæˆã•ã‚ŒãŸãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã‚’用ã„ã¦æ画をãŠã“ãªã†ã€‚ãªãŠï¼Œæœ¬ç¯€ã§ã¯ï¼Œè©²å½“ã™ã‚‹å›³å½¢ã®ã“ã¨ã‚’「プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã€ã¨è¡¨è¨˜ã™ã‚‹å ´åˆãŒã‚る。\\ + +\begin{description} + +\hypertarget{changestyple}{} +\item[関数] Changestyle(PDリスト, optionss) +\item[機能] æ画オプションを変更ã™ã‚‹ +\item[説明] 複数ã®å›³å½¢ã®æ画オプションを一括ã—ã¦å¤‰æ›´ã™ã‚‹ã€‚\\ + +例:線分AB,円ABã®ç·šã‚’ç ´ç·šã«ã—ã¦\TeX ã«æ›¸ã出ã•ãªã„よã†ã«ã™ã‚‹ã€‚\\ +  \verb|Changestyle(["sgAB","crAB"],["da","notex"]);|\\ + \\ + +\hypertarget{enclosing}{} +\item[関数] Enclosing(name , PDリスト , [ä½ç½®ï¼Œæ–¹å‘,数å¼]) +\item[機能] 複数ã®æ›²ç·šã‹ã‚‰é–‰æ›²ç·šã‚’æã。 +\item[説明] 引数ã®ä½ç½®ï¼Œæ–¹å‘,数å¼ã¯ï¼Œè¤‡æ•°ç‚¹ã®æƒ…å ±ã‚’[ ]内ã«ã¾ã¨ã‚㦠+記入ã§ãる。以下ã¯ä¸€ä¾‹ã€‚ +\begin{verbatim} +  Circledata([A,B],["do"]); +  Scaledata("1","crAB",1.5,1/1.5,["do"]); +  Scaledata("2","crAB",1/1.5,1.5,["do"]); +  Tmp1=Intersectcrvs(sc2,crAB); +  Putpoint("C",Tmp1\_1); +  Enclosing("1",["sc2","crAB","sc2","Invert(sc1)"],[C]); +  Hatchdata("1","i",[["en1"]],["dr,0.5"]); +\end{verbatim} +         \input{Fig/enclosing} + +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} + \\ + +\hypertarget{addgraph}{} +\item[関数] AddGraph(name ,プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã®ãƒªã‚¹ãƒˆ,option) +\item[機能] 複数ã®ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã‚’ã¾ã¨ã‚ã‚‹ +\item[説明] 複数ã®ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã‚’ã¾ã¨ã‚ã¦æ‰±ã†ã€‚ãŸã¨ãˆã°ï¼Œå††ã¨ï¼Œå††å‘¨ä¸Šã®ç‚¹ã®ï¼’ã¤ã®ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã‚’ã¾ã¨ã‚ã¦æ‰±ãˆã°ï¼Œã‚¹ãƒ©ã‚¤ãƒ€ã‚’用ã„ãŸã‚Šå‹•ç”»ã«ã™ã‚‹ã¨ãã«ï¼Œå€‹ã€…ã«ç§»å‹•ã‚„回転をã—ãªãã¦ã™ã‚€ã€‚Joincrvs()ã§ã¯ï¼Œãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã‚’ã¤ãªã’ã¦ï¼‘ã¤ã®ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã«ã™ã‚‹ãŒï¼ŒAddGraph()ã§ã¯ï¼Œãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã‚’リスト化ã—ã¦æ‰±ã†ã¨ã„ã†é•ã„ãŒã‚る。\\ + プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã®ãƒªã‚¹ãƒˆã¯ï¼Œãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿åã‚’æ–‡å—列化ã—ã¦æ¸¡ã™ã€‚ãŸã¨ãˆã°ï¼Œå††ã®ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ãŒ cr1 ã®ã¨ã,"cr1" ã¨ã™ã‚‹ã€‚\\ + \\ +例:サイクãƒã‚¤ãƒ‰ã®å›³ã‚’æã。 +\begin{verbatim} +  Setpt(3); +  Circledata("1",[[0,1],[0,0]]); +  Pointdata("1",[0,0]); +  AddGraph("1",["[pt1]","cr1"],["nodisp"]); +  nn=32; +  forall(1..nn, +   t=2*pi/nn*#; +   Rotatedata(text(#),"ad1",-t,[[0,1],"nodisp"]); +   Translatedata(text(#),"rt"+text(#),[t,0],["dr,0.3"]); +  ); +\end{verbatim} + +\begin{center} +\input{Fig/addgraph} +\end{center} + ã“ã“ã§ï¼ŒAddGraph()ã®å¼•æ•°ã§ä¸Žãˆã‚‹ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã®ãƒªã‚¹ãƒˆã§ï¼Œç‚¹ã®ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ pt1 ã‚’"[pt1]" ã¨ã—ã¦ã„ã‚‹ã“ã¨ã«æ³¨æ„。円ã®ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ãŒï¼Œç‚¹ã®åº§æ¨™ã®ãƒªã‚¹ãƒˆã§ã‚ã‚‹ã®ã«å¯¾ã—,点ã®ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã¯ä¸€ã¤ã®åº§æ¨™ã ã‘ãªã®ã§ï¼Œã“ã®ã‚ˆã†ã«ã—ã¦ãƒªã‚¹ãƒˆåŒ–ã—ã¦æ¸¡ã™ã€‚\\ + \\ +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} + \\ + +\hypertarget{hatchdata}{} +\item[関数] Hatchdata(name , æ–¹å‘リスト , プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ , optionss) +\item[機能] 閉曲線ã®å†…部ã«æ–œç·šã‚’引ã。 +\item[説明] 引数ã¯ï¼Œæ›²ç·šå,内部外部ã®ãƒ‘ターンを与ãˆã‚‹''i'',''o''ã®æ–‡å—列,閉曲線を与ãˆã‚‹æ›²ç·šåˆ†ã¨é ˜åŸŸã®å†…部を定ã‚ã‚‹æ–¹å‘ã®ãƒªã‚¹ãƒˆã¨ã‚ªãƒ—ション。\\ + Scilabã§ãƒãƒƒãƒãƒ‡ãƒ¼ã‚¿ã‚’作æˆã—ã¦èªã¿è¾¼ã‚€ã€‚åŒã˜åå‰ã®ãƒãƒƒãƒãƒ‡ãƒ¼ã‚¿ãŒã™ã§ã«ã‚ã‚‹å ´åˆï¼Œ"m"ã‚’ã¤ã‘ã‚‹ã¨ãƒãƒƒãƒãƒ‡ãƒ¼ã‚¿ã‚’強制的ã«æ›´æ–°ã™ã‚‹ã“ã¨ãŒã§ãる。\\ + \\ +例:円ã®å†…部。(下図左) +\begin{verbatim} +  Circledata([A,B],["dr"]); +  Hatchdata("1",["i"],[["crAB"]],["dr,0.7","out"]); +\end{verbatim} + +例:3ã¤ã®é–‰æ›²ç·šã®å†…å´ãƒ»å¤–å´ã®ãƒ‘ターンãŒåŒä¸€ã§ã‚ã‚‹é ˜åŸŸï¼ˆä¸‹å›³å³ï¼‰ +\begin{verbatim} +  Circledata([A,B],["dr"]); +  Paramplot("1","[4*cos(t),2*sin(t)]","t=[0,2*pi]"); +  Paramplot("2","[2*cos(t),4*sin(t)]","t=[0,2*pi]"); +  Hatchdata("1",["ioi"],[["crAB"],["gp1"],["gp2"]],["dr,0.7","out"]); +  Hatchdata("2",["iio"],[["crAB"],["gp1"],["gp2"]],["dr,0.7","out"]); +\end{verbatim} + \\ +  \input{Fig/hatch1}   \input{Fig/hatch2} +\newpage + +例:複数ã®ãƒ‘ターンã«åˆ†ã‹ã‚ŒãŸé ˜åŸŸã€‚ +\begin{verbatim} +  Plotdata("1","2*sin(x)","x=[-pi,3*pi]",["Num=100"]); +  Listplot([A,B]); +  Listplot([A,C]); +  io="out"; +  Hatchdata("1",["ii"],[["sAB","n"],["gr1","s"]],["dr,0.7",io]); +  Hatchdata("2",["ii"],[["sAC","s"],["gr1","n"]],["dr,0.7",io]); +\end{verbatim} +\begin{center} +\input{Fig/hatch3} +\end{center} + +è¤‡æ•°é ˜åŸŸã®æ–œç·šå¡—ã®å ´åˆï¼Œãれらã®é ˜åŸŸã‚’ã¾ã¨ã‚ã¦å‡ºåŠ›ã™ã‚‹ã‹ï¼Œ +ã¾ã¨ã‚ã¦Cinderellaã«èªã¿è¾¼ã‚€å ´åˆãŒå¤šã,ãã®ã‚ˆã†ãªå ´åˆã«ã¯ +4行目ã®ã‚ˆã†ãªæŒ‡å®šã®ä»•æ–¹ã‚‚ã‚る。\\ + +例:æ画範囲ã¨ã‚ã‚ã›ã¦é–‰é ˜åŸŸã¨ãªã‚‹å ´åˆã€‚ +\begin{verbatim} +  Plotdata("1","2*sin(x)","x=[-pi,3*pi]",["Num=100"]) +  Listplot([A,B]); +  Listplot([A,C]); +  Hatchdata("1",["iio"],[["sAB","s"],["sAC","n"],["gr1","[0,2]"]], +                     ["dr,0.7","out"]); +\end{verbatim} +\begin{center} +\input{Fig/hatch4} +\end{center} + +\newpage + +例:接線ã§å›²ã¾ã‚ŒãŸé ˜åŸŸã®å ´åˆã€‚ +\begin{verbatim} +  Deffun("f(x)",["regional(y)","y=xï¼¾2*(x-3)","y"]); +  Plotdata("1","f(x)","x"); +  PutonCurve("A",gr1,-1); +  coef=Derivative("f(x)","x","A.x"); +  Defvar("DC=coef"); +  Deffun("g(x)",["regional(y)","y=DC*(x-A.x)+A.y","y"]); +  Plotdata("2","g(x)","x"); +  Tmp=Intersectcrvs(gr1,gr2); +  Partcrv("1",A,Tmp_3,"gr1"); +  Partcrv("2",A,Tmp_3,"gr2"); +  Hatchdata("1",["ii"],[["part1","n"],["part2","s"]],["dr,0.7","out"]); +\end{verbatim} +\begin{center} +\input{Fig/hatch5} +\end{center} + \\ +斜線ã®å‘ãや間隔を変ãˆã‚‹ã“ã¨ã‚‚ã§ãる。\\ + +\noindent +%ï¿¥Ltab{10mm}{æ–‡} +例:円ã®å†…部ã¾ãŸã¯å††ã¨ç›´ç·šã§åŒºåˆ‡ã‚‰ã‚ŒãŸå›³å½¢\\ +\verb|Circledata([A,B]);| ã§å††ãƒ‡ãƒ¼ã‚¿ã®åå‰ãŒ crABã¨ãªã‚‹ã€‚ã“れを用ã„ã¦\\ +\verb|Hatchdata("1",["i"],[["crAB"]]);| +円内ã«å‚¾ã$45^{\circ}$ã®æ–œç·šã‚’引ã(下図ha1)\\ +\verb|Hatchdata("2",["i"],[["crAB"]],[-40,2]);| 傾ã$-40^{\circ}$,間隔を2å€ã«ï¼ˆha2)\\ +                     (間隔ã¯å®Ÿæ•°ã§æŒ‡å®šã§ãる)\\ +\verb|Hatchdata("3",["i"],[["crAB"]],["dr,0.5"]);| 線ã®å¤ªã•ã‚’0.5å€ã«ï¼ˆha3)\\ +\verb|Hatchdata("4",["i"],[["crAB"]],[-45,2,"dr,0.5"]);| (ha4)\\ + +  \input{Fig/HatchZuKita1.tex} \input{Fig/HatchZuKita2.tex}\\ +       図ha1           図ha2\\ +  \input{Fig/HatchZuKita3.tex} \input{Fig/HatchZuKita4.tex}\\ +       図ha3           図ha4\\ + \\ + +ã“ã®å††ã«ç›´ç·šã‚’åŠ ãˆé ˜åŸŸã‚’分ã‘る。\\ + \verb|Lineplot("1",[A,B]);|  直線データã®åå‰ã¯ ln1\\ + \verb|Lineplot("2",[A,C]);| 直線データã®åå‰ã¯ ln2\\ +円ã®å†…部ã§å³ä¸Šï¼ˆln1ã¨ln2ã®åŒ—å´ï¼‰ï¼ˆä¸‹å›³ha5)\\ + \verb|Hatchdata("5",["iii"],[["crAB"],["ln1","n"],["ln2","n"]]);|\\ +円ã®å†…部ã§å³ä¸Šã¨å·¦ä¸‹ï¼ˆä¸‹å›³ha6)\\ +\verb|Hatchdata("6",["iii","ioo"],[["crAB"],["ln1","n"],["ln2","n"]]);|\\ + +  \input{Fig/HatchZuKita5.tex} \input{Fig/HatchZuKita6.tex}\\ +       図ha5          図ha6\\ + \\ +円データcrABを作るãŒæã‹ãªã‘ã‚Œã°å¢ƒç•Œç·šãŒå«ã¾ã‚Œãªã„。(下図ha7)\\ + \verb|Circledata([A,B],["notex"]);|\\ + \verb|Hatchdata("7",["i"],[["crAB"]]);|\\ +å¢ƒç•Œç·šã‚’ç ´ç·šã§æãã¨é–‹é›†åˆã®ã‚ˆã†ã«ãªã‚‹ï¼ˆä¸‹å›³ha8)\\ + \verb|Circledata([A,B],["da"]);|\\ + \verb|Hatchdata("8",["i"],[["crAB"]]);|\\ + +  \input{Fig/HatchZuKita7.tex} \input{Fig/HatchZuKita8.tex}\\ +       図ha7          図ha8\\ + +å•é¡Œï¼šæ¬¡å›³ã®ã‚ˆã†ã«ä¸Šã¨ä¸‹ã§æ–œç·šã®æã分ã‘ã‚’ã™ã‚‹ã«ã¯ï¼Ÿã€€ã€€ã€€ç”ã¯å›³ã®å¾Œã«\\ + +         \input{Fig/HatchZuKita9.tex}\\ + \\ +å•é¡Œã®ç”:次ã®ã‚ˆã†ã«2ã¤ã®ãƒ‡ãƒ¼ã‚¿ã‚’作り両方æã +\begin{verbatim} +  Hatchdata("9a",["iii"],[["crAB"],["ln1","n"],["ln2","n"]]); +  Hatchdata("9b",["ioo"],[["crAB"],["ln1","n"],["ln2","n"]],[90,2]); +\end{verbatim} +    (ã“ã®ç”ã¯å›³ha7ã¨å›³ha8ã¨ã®é–¢ä¿‚ã¨åŒã˜ï¼‰ã€€ + \\ +\hypertarget{dotfilldata}{} +\item[関数] Dotfilldata(name , æ–¹å‘リスト , プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ , optionss) +\item[機能]ã€€é ˜åŸŸã‚’ç‚¹ã§æ•·ãè©°ã‚る。 +\item[説明] Scilabã¨ãƒ‡ãƒ¼ã‚¿ã®æŽˆå—ã‚’ãŠã“ãªã£ã¦æç”»ã™ã‚‹ã€‚書å¼ã¯Hatchdata()ã¨åŒã˜\\ +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} + \\ + +\hypertarget{joincrvs}{} +\item[関数] Joincrvs(name, プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã®ãƒªã‚¹ãƒˆ, options) +\item[機能] 隣接ã™ã‚‹æ›²ç·šãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ ã®ãƒªã‚¹ãƒˆã‚’繋ã„ã§1本ã®æ›²ç·šã‚’作る。 +\item[説明] 曲線ã®ãƒªã‚¹ãƒˆã¯éš£æŽ¥ã™ã‚‹é †ç•ªã§æŒ‡å®šã™ã‚‹ã€‚プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿åã®é 部ã¯join。\\ +optionsã¯ç·šç¨®ã€€ã€€ã€€"dr, n" , "da,m,n" , "do,m,n"\\ + \\ +例:線分$y=x\ (-\sqrt{2} \leqq x \leqq \sqrt{2})$ã¨åŠå††ã‚’繋ã„ã§å¾—られる閉曲線をæã。\\ +\begin{verbatim} +  Plotdata("1","x","x=[-sqrt(2),sqrt(2)]"); +  Putpoint("B",[sqrt(2),sqrt(2)]); +  Circledata("2",[A,B],["Rng=[pi/4,pi/4*5]"]); +  Joincrvs("3",["gr1","cr2"]); +\end{verbatim} + \\ +        \input{Fig/joincrvs.tex} + +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} + \\ +\hypertarget{partcrv}{} +\item[関数] Partcrv(name, A, B, プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿, options) +\item[機能] 曲線プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ä¸Šã®ç‚¹A, B ã®é–“ã®éƒ¨åˆ†æ›²ç·šã‚’æã。 +\item[説明] プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿åã®é 部ã¯part。\\ +optionsã¯ç·šç¨®ã€€ã€€ã€€"dr, n" , "da,m,n" , "do,m,n"\\ + +例1:2点A, Bã®é †åºã¨æ›²ç·šã®å‘ãã«ã‚ˆã£ã¦éƒ¨åˆ†æ›²ç·šãŒæ±ºã¾ã‚‹ã€‚ +曲線ã®å‘ãã¯ï¼Œ$y=f(x)$ã®ã‚°ãƒ©ãƒ•ã§ã¯x座標ãŒå¢—åŠ ã™ã‚‹å‘ã。ã“ã“ã§ï¼ŒPDname="gr1"ã®ã‚ˆã†ã«""ã§å›²ã‚€ã“ã¨ãŒå¿…è¦ã€‚\\ + \verb|Plotdata("1", "x^2", "x", ["do"]);| (放物線ã®åå‰ã¯gr1)\\ + \verb|Partcrv("1", [0,0], [1,1], "gr1");| (部分曲線ã®åå‰ã¯part1)\\ + \verb|Partcrv("2", [1,1], [0,0], "gr1");| (部分曲線ã®åå‰ã¯part2)\\ + +\begin{minipage}{35mm} +\begin{center} +\input{Fig/partcrv1}\\ +part1 ã®å›³ +\end{center} +\end{minipage} +\hspace{10mm} +\begin{minipage}{35mm} +\begin{center} +\input{Fig/partcrv2}\\ +part2 ã®å›³ +\end{center} +\end{minipage} +\vspace{5mm} + +例2:閉曲線ã®ä¾‹ï¼Žãƒ‘ラメータ表示曲線ã¯ãƒ‘ラメータã®å¢—ãˆã‚‹å‘ãã‚’ã‚‚ã¤ã€‚ +\begin{verbatim} +  Circledata([A,B], ["do"]); +   Plotdata("1", "x^2", "x", ["do"]); +  tmp=Intersectcrvs(crAB, gr1); +  P.xy=tmp_1; +  Q.xy=tmp_2; +  Partcrv("1", P, Q, "crAB"); +  Partcrv("2", Q, P, "crAB"); +\end{verbatim} +\vspace{5mm} + +\begin{minipage}{45mm} +\begin{center} +\input{Fig/partcrv3}\\ +part1 ã®å›³ +\end{center} +\end{minipage} +\hspace{10mm} +\begin{minipage}{45mm} +\begin{center} +\input{Fig/partcrv4}\\ +part2 ã®å›³ +\end{center} +\end{minipage} +\\ +\\ + +例3:放物線$y=x^2$ãŒå††ã§åˆ‡ã‚Šå–られる部分をæã。 +\begin{verbatim} +  Circledata([A,B]); +  Deffun("f(x)",["regional(y)","y=x^2","y"]); +  Plotdata("1","f(x)","x",["do"]); +  tmp3=Intersectcrvs("crAB","gr1"); +  Partcrv("2",tmp3_2,tmp3_1,"gr1",["dr,2"]); +\end{verbatim} +\input{Fig/partcrv} + +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} + + +\hypertarget{putoncurve}{} +\item[関数] PutonCurve(点ã®åå‰, プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿, options) +\item[機能] 曲線上ã«ç‚¹ã‚’ä¹—ã›ã‚‹ã€‚ +\item[説明] 点ãŒå˜åœ¨ã—ãªã„å ´åˆã¯æ–°ãŸã«ä½œã‚‹ã€‚ã™ã§ã«ãã®ç‚¹ãŒå˜åœ¨ã™ã‚‹å ´åˆã¯ï¼Œãã®ç‚¹ã®$x$座標を使ã†ã€‚åˆæœŸå€¤ã®$x$座標ã®ãƒ‡ãƒ•ã‚©ãƒ«ãƒˆã¯ 0。\\ +optionsã¯[$x$座標ã®ç¯„囲]。\\ + +例:アステãƒã‚¤ãƒ‰ä¸Šã®å‹•ç‚¹P ã‚’ã¨ã‚‹ã€‚ +\begin{verbatim} +  Deffun("fx(t)", ["local(x)","x=2*cos(t)^3","x"]); +  Deffun("fy(t)", ["local(y)","y=2*sin(t)^3","y"]); +\end{verbatim} +ã§é–¢æ•°ã‚’定義ã—,\\ +  \verb|Paramplot("1","[fx(t),fy(t)]","t=[0,2*pi]");|\\ +ã§ã‚¢ã‚¹ãƒ†ãƒã‚¤ãƒ‰ã‚’表示ã™ã‚‹ã€‚プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã¯ gp1 ã¨ãªã‚‹ã€‚\\ +ãã“ã§\\ +  \verb|PutonCurve("P","gp1",[-1,1]); |\\ +ã§$x$座標㌠$-1$ ã§ã‚る点PãŒã‚¢ã‚¹ãƒ†ãƒã‚¤ãƒ‰ä¸Šã«ã§ã,ã“ã®ç‚¹ã¯ãƒ‰ãƒ©ãƒƒã‚°ã™ã‚‹ã¨ã‚¢ã‚¹ãƒ†ãƒã‚¤ãƒ‰ä¸Šã‚’ $-1 \leqq x\leqq 1$ ã®ç¯„囲ã§å‹•ã‹ã™ã“ã¨ãŒã§ãる。\\ + +        \input{Fig/putoncurve.tex} + +ãªãŠ\\ +  \verb|fx(t):=2*cos(t)^3;|\\ +ã§é–¢æ•°ã‚’定義ã™ã‚‹ã¨ Scilab ã«é–¢æ•°å®šç¾©æƒ…å ±ãŒæ¸¡ã•ã‚Œãªã„ã®ã§\\ +  \verb|Deffun("fx(t)", ["local(x)","x=2*cos(t)^3","x"]);|\\ +㧠f(x) を定義ã™ã‚‹å¿…è¦ãŒã‚る。 + \\ + \\ +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} + +\hypertarget{reflextdata}{} +\item[関数] Reflectdata(name , プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ , 対称点ã¾ãŸã¯å¯¾ç§°è»¸,options) +\item[機能] プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã®é¡æ˜ ã‚’ä½œæˆ +\item[説明] プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã‚’指定ã•ã‚ŒãŸç‚¹ã¾ãŸã¯è»¸ã«é–¢ã—ã¦å¯¾ç§°ç§»å‹•ã™ã‚‹ã€‚\\ + 対称点ã¯åº§æ¨™ã¾ãŸã¯ï¼Œç‚¹ã®è˜åˆ¥å。ãŸã ã—,対称点を座標ã§ç¤ºã™ã¨ãã¯è¦ç´ ãŒã²ã¨ã¤ã®ãƒªã‚¹ãƒˆã«ã™ã‚‹ã€‚\\ + 対称軸ã¯ãƒªã‚¹ãƒˆ[ 点1, 点2 ] ã§æŒ‡å®š\\ + optionsã¯ç·šç¨®\\ +\\ +例:ä¸å¿ƒA , åŠå¾„ABã®å††ã‚’æã,ãã®ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã‚’用ã„ã¦ï¼Œ\\ +  点Cã«é–¢ã—ã¦å¯¾ç§°ãªå††ã‚’\\ +   点(-1,2)ã«é–¢ã—ã¦å¯¾ç§°ãªå††ã‚’太ã„実線ã§\\ +   直線DEã«é–¢ã—ã¦å¯¾ç§°ãªå††ã‚’ç ´ç·šã§\\ +  ãã‚Œãžã‚Œæã。\\ +  作æˆã•ã‚Œã‚‹ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã®å称を rf1 ,rf2 ,rf3 ã¨ã™ã‚‹ã€‚ +\begin{verbatim} +   Circledata([A,B]);\\ +   Reflectdata("1","crAB",[C]);\\ +   Reflectdata("2","crAB",[[-1,2]],["dr,2"]);\\ +   Reflectdata("3","crAB",[D,E],["da"]);\\ +\end{verbatim} + \\ +   \input{Fig/reflectdata} + +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} + +\hypertarget{rotatedata}{} +\item[関数] Rotatedata(name , プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ ,角度 , [ä¸å¿ƒ , options]) +\item[機能] プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã®ä½ç½®ã‚’回転ã™ã‚‹ +\item[説明] 図形を,ä¸å¿ƒã§ç¤ºã•ã‚ŒãŸç‚¹ã®å‘¨ã‚Šã«å›žè»¢ã™ã‚‹ã€‚角度ã¯å¼§åº¦æ³•ã§ä¸Žãˆã‚‹\\ + ä¸å¿ƒã¨optionsã¯ã¾ã¨ã‚ã¦ãƒªã‚¹ãƒˆã§ä¸Žãˆã‚‹ã€‚optionsã¯ç·šç¨®\\ + +\begin{spacing}{1.5} +例:ä¸å¿ƒA , åŠå¾„ABã®å††ã®ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã‚’æã,\\ +   点Cã‚’ä¸å¿ƒã«$\dfrac{\pi}{2} $ã ã‘回転ã—ãŸå††\\ +   点(1,5)ã‚’ä¸å¿ƒã«$\dfrac{\pi}{3}$ ã ã‘回転ã—,線を太ãã—ãŸå††\\ +   点Dã‚’ä¸å¿ƒã« $-\dfrac{\pi}{3} $ã ã‘回転ã—ï¼Œç ´ç·šã«ã—ãŸå††\\ +  をãã‚Œãžã‚Œæã。\\ +  作æˆã•ã‚Œã‚‹ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã®å称を rt1 ,rt2 ,rt3 ã¨ã™ã‚‹ã€‚ +\end{spacing} +\begin{verbatim} +   Circledata([A,B]);\\ +   Rotatedata("1","crAB",pi/2,[C]);\\ +   Rotatedata("2","crAB",pi/3,[[1,5],"dr,2"]);\\ +   Rotatedata("3","crAB",-pi/3,[D,"da"]);\\ +\end{verbatim} + \\ +      \input{Fig/rotatedata} + +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} + +\hypertarget{scaledata}{} +\item[関数] Scaledata(name , プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ï¼Œxæ–¹å‘比率 , yæ–¹å‘比率 , [ä¸å¿ƒ , options]) +\item[機能] 図形ã®ä½ç½®ã‚’拡大・縮å°ã™ã‚‹ +\item[説明] 図形ã®ä½ç½®ã‚’プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã‚’用ã„ã¦æŒ‡å®šã•ã‚ŒãŸæ¯”率ã§æ‹¡å¤§ãƒ»ç¸®å°ã™ã‚‹\\ + ä¸å¿ƒã¨optionsã¯ã¾ã¨ã‚ã¦ãƒªã‚¹ãƒˆã§ä¸Žãˆã‚‹ã€‚optionsã¯ç·šç¨®\\ + +例:ä¸å¿ƒA,åŠå¾„ABã®å††ã‚’æã„ã¦ãŠã。プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿å㯠crABã¨ãªã‚‹ã€‚\\ +  ã“ã®å††ã‚’\\ +   原点ä¸å¿ƒã«$x$軸方å‘ã«ï¼“,$y$軸方å‘ã«ï¼’ã ã‘平行移動ã™ã‚‹ã€‚\\ +   Cをä¸å¿ƒã«$x$軸方å‘ã«ï¼“,$y$軸方å‘ã«ï¼’ã ã‘平行移動ã—,実線ã§å¤ªãæã。\\ +   原点ä¸å¿ƒã«ãƒ™ã‚¯ãƒˆãƒ«$\overrightarrow{OD} $ã ã‘平行移動ã—ï¼Œç ´ç·šã§æã。 +\begin{verbatim} +   Circledata([A,B]); +   Scaledata("1","crAB",3,2,[[0,0]]); +   Scaledata("2","crAB",3,2,[C,"dr,2"]); +   Scaledata("3","crAB",D.x,D.y,[[0,0],"da"]); +\end{verbatim} +       \input{Fig/scaledata}\\ + \\ +%\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} +\hypertarget{shade}{} +\item[関数] Shade(プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã®ãƒªã‚¹ãƒˆ , optionss) +\item[機能] 閉曲線ã§å›²ã¾ã‚ŒãŸé ˜åŸŸã‚’å¡—ã‚Šã¤ã¶ã™ã€‚ +\item[説明] 第1引数ã«ã¯ï¼Œé–‰æ›²ç·šã‚’与ãˆã‚‹æ›²ç·šåˆ†ã®ãƒªã‚¹ãƒˆã‚’並ã¹ã‚‹ã€‚\\ + optionssã¯ï¼ŒCinderellaã®ç”»é¢ä¸Šã§ã®æ画色,濃ã•ã‚’リストã§ä¸Žãˆã‚‹ã€‚\\ + +例:$y=2\sin x$ã®ã‚°ãƒ©ãƒ•ã¨ç›´ç·š$y=1$(直線ABã®ä¸€éƒ¨ï¼‰ã¨ã§å›²ã¾ã‚ŒãŸéƒ¨åˆ†ã«0.5ã®æ¿ƒã•ã§è‰²ã‚’塗る。 +\begin{verbatim} +  Setax([7,"nw"]); +  Plotdata("1","2*sin(x)","x",["Num=100"]); +  Plotdata("2","2*sin(x)","x=[5*pi/6,13*pi/6]",["Num=100"]); +  Lineplot("1",[[0,1],[1,1]]); +  Listplot("1",[[5*pi/6,1],[13*pi/6,1]]); +  Shade(["gr2","sg1"],[0.5]); +\end{verbatim} +\begin{center} +\input{Fig/shade} +\end{center} + +例:2ã¤ã®æ”¾ç‰©ç·šã§å›²ã¾ã‚ŒãŸéƒ¨åˆ†ã«0.2ã®æ¿ƒã•ã§è‰²ã‚’塗る。Cinderellaã®ç”»é¢ã§ã¯èµ¤ã§å°‘ã—è–„ã塗る。 +\begin{verbatim} +  Plotdata("1","x^2-1","x=[-sqrt(2),sqrt(2)]",["Num=100"]); +  Plotdata("2","x^2/2","x=[-sqrt(2),sqrt(2)]",["Num=100"]); +  Shade(["gr2","gr1"],[0.2,"color->[1,0,0]","alpha->0.4"]); +\end{verbatim} +\begin{center} +\input{Fig/shade01} +\end{center} + + +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} +\newpage +\hypertarget{translatedata}{} +\item[関数] Translatedata(name , プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ , 移動ベクトル , options) +\item[機能] プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã‚’平行移動ã™ã‚‹ +\item[説明] プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã‚’移動ベクトルã§ç¤ºã•ã‚ŒãŸåˆ†ã ã‘平行移動ã™ã‚‹ã€‚\\ + nameã¯ã“ã‚Œã«ã‚ˆã£ã¦ã¤ãるプãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã®å称をè¨å®šã€‚å˜ãªã‚‹ç•ªå·ã¯ä¸å¯ã€‚\\ + optionsã¯ç·šç¨®\\ +\\ +例:ä¸å¿ƒA,åŠå¾„ABã®å††ã‚’æã„ã¦ãŠã。プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿å㯠crABã¨ãªã‚‹ã€‚\\ +  ã“ã®å††ã‚’\\ +  x軸方å‘ã«ï¼’,y軸方å‘ã«ï¼“ã ã‘平行移動ã™ã‚‹ã€‚\\ +  ベクトル$\overrightarrow{OC} $ã ã‘平行移動ã—,実線ã§å¤ªãæã。\\ +  ベクトル$\overrightarrow{OD} $ã ã‘平行移動ã—ï¼Œç ´ç·šã§æã。\\ +  作æˆã•ã‚Œã‚‹ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã®å称を tr1 , tr2 , tr3 ã¨ã™ã‚‹ã€‚ +\begin{verbatim} +  Circledata([A,B]); +  Translatedata("tr1","crAB",[2,3]); +  Translatedata("tr2","crAB",C,["dr,2"]); +  Translatedata("tr3","crAB",D,["da"]); +\end{verbatim} + \\ +       \input{Fig/translatedata} + +\end{description} + +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} +\newpage +% =============================== +\subsection{å¾®ç©åˆ†ãªã©} + +\begin{description} + +\hypertarget{derivative}{} +\item[関数] Derivative(é–¢æ•°å¼ , 変数 , 値) +\item[機能] 関数ã®å¾®åˆ†ä¿‚数を求ã‚ã‚‹ +\item[説明] 関数å¼ã§ä¸Žãˆã‚‰ã‚ŒãŸé–¢æ•°ã®ï¼Œã€Œå¤‰æ•°ï¼å€¤ã€ã«ãŠã‘る微分係数を求ã‚る。\\ +値ã¯ï¼Œç‚¹ã®åº§æ¨™ã‚’用ã„ã‚‹ã“ã¨ãŒã§ãる。点Aã®x座標ã§ã‚ã‚Œã°ï¼Œ A.x ã¨ã™ã‚‹ã€‚\\ + +例:3次曲線上ã®ç‚¹Aã§æŽ¥ç·šã‚’引ã。点A,Bã¯ä½œå›³ãƒ„ールã§ã¨ã£ã¦ãŠã。 +\begin{verbatim} +  Deffun("f(x)",["regional(y)","y=x^3-4*x","y"]); +  coef=Derivative("f(x)","x",A.x); +  A.y=f(A.x); +  B.y=coef*(B.x-A.x)+A.y; +  Plotdata("1","f(x)","x",["Num=200"]); +  Lineplot([A,B]); +  Letter([A,"ne","A"]); +\end{verbatim} + \\ +  \input{Fig/derivative}\\ + \\ +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} + +\hypertarget{integrate}{} +\item[関数] integrate(é–¢æ•°å¼ , 変数 , 範囲 , options) +\item[関数] integrate(PD , 範囲 , options) +\item[機能] 関数å¼ã¾ãŸã¯ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã§ä¸Žãˆã‚‰ã‚ŒãŸæ›²ç·šã®ç©åˆ†å€¤ã‚’求ã‚ã‚‹ +\item[説明] 関数å¼ã¾ãŸã¯ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã§ä¸Žãˆã‚‰ã‚ŒãŸæ›²ç·šã®ï¼ŒæŒ‡å®šã•ã‚ŒãŸç¯„囲ã®å®šç©åˆ†ã®å€¤ã‚’求ã‚る。\\ +関数を与ãˆãŸã¨ãã®optionsã¯æ¬¡ã®é€šã‚Šã€‚\\ + "Rule=s"  : シンプソン法ã«ã‚ˆã‚‹ã€‚デフォルトã¯å°å½¢å…¬å¼ã€‚\\ +         "R=s"ã¨ç•¥è¨˜ã§ãる。\\ + "Num=数値" : 分割数ã®æŒ‡å®šã€‚åˆæœŸå€¤ã¯ 100 \\ + 一般ã«ã¯ã‚·ãƒ³ãƒ—ソン法ã®æ–¹ãŒç²¾åº¦ãŒã‚ˆã„ãŒï¼Œãã†ã§ã¯ãªã„å ´åˆã‚‚ã‚る。\\ + \\ +例:$f(x)=x^3-2x^2+2$ ã«ã¤ã„ã¦ï¼Œ0ã‹ã‚‰3ã¾ã§ã®å®šç©åˆ†ã®å€¤ã‚’求ã‚る。\\ + CindyScriptã§ã¯ï¼Œguess()関数を用ã„ã‚‹ã¨ï¼Œå¯èƒ½ãªå ´åˆã¯å€¤ã‚’分数表記ã«ã™ã‚‹ã€‚ +\begin{verbatim} +  f(x):=x^3-2*x^2+2; +  println(guess(Integrate("f(x)","x",[0,3],["Num=200"]))); +  println(guess(Integrate("f(x)","x",[0,3],["Num=5","Rule=s"]))); +\end{verbatim} +を実行ã™ã‚‹ã¨ï¼Œã‚³ãƒ³ã‚½ãƒ¼ãƒ«ã«çµæžœãŒè¡¨ç¤ºã•ã‚Œã‚‹ã€‚シンプソン法ã§ã¯ 33/4 ã¨è¡¨ç¤ºã•ã‚Œã‚‹ã€‚ +整関数ã®å ´åˆï¼Œã‚·ãƒ³ãƒ—ソン法ã§ã¯åˆ†å‰²æ•°ãŒã‹ãªã‚Šå°‘ãªãã¦ã‚‚高ã„精度ãŒå¾—られる。\\ +整関数ã§ãªã„å ´åˆï¼Œåˆ†å‰²æ•°ã‚’区間幅ã®10ã®æ•´æ•°å€ã«ã™ã‚‹ã¨ã‚ˆã„精度ã«ãªã‚‹ã€‚\\ +ãŸã¨ãˆã°ï¼Œ$f(x)=\sqrt{x} $ã®å ´åˆï¼ŒåŒºé–“㌠[2,9] ã§ã‚ã‚Œã°ï¼ŒNum=100 よりも Num=70 ã®æ–¹ãŒç²¾åº¦ãŒã‚ˆã„。\\ + \\ + プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã‚’与ãˆãŸã¨ãã¯ï¼Œã‚¢ãƒ«ã‚´ãƒªã‚ºãƒ ãŒç•°ãªã‚‹ã®ã§ä¸Šè¨˜ã‚ªãƒ—ションã¯ç„¡åŠ¹ã€‚\\ +例:上ã®ä¾‹ã¨åŒã˜é–¢æ•°ã‚’プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã§æŒ‡å®šã™ã‚‹ã€‚ +\begin{verbatim} +  plotdata("1","x^3-2*x^2+2","x"); +  println(Integrate("gr1",[0,3])); +\end{verbatim} + \\ + プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã§ä¸Žãˆã‚‹æ–¹æ³•ã¯ï¼ŒRを利用ã—ã¦æ£è¦åˆ†å¸ƒæ›²ç·šã‚’æã„ãŸã¨ããªã©ã«è¨˜è¿°ãŒæ¥½ã«ãªã‚‹ã€‚\hyperlink{plotdatar}{PlotdataR()} ã®é …ã‚’å‚ç…§ã®ã“ã¨ã€‚\\ + \\ + +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} +\newpage +\hypertarget{invesefun}{} +\item[関数] Inversefun(関数 , 範囲 , 値) +\item[機能] 関数ã®é€†é–¢æ•°å€¤ã‚’求ã‚ã‚‹ +\item[説明] 関数ã¯æ–‡å—列ã§ï¼Œé–¢æ•°å¼ã‚‚ã—ãã¯å®šç¾©ã•ã‚ŒãŸé–¢æ•°åã¨ã™ã‚‹ã€‚\\ + 指定ã•ã‚ŒãŸç¯„囲ã®ä¸ã§é€†é–¢æ•°å€¤ã‚’求ã‚る。å˜åœ¨ã—ãªã„å ´åˆã¯ä¸€æ–¹ã®ç«¯ç‚¹ã‚’戻り値ã¨ã—,コンソールã«ã€Œnot foundã€ã¨è¡¨ç¤ºã•ã‚Œã‚‹ã€‚\\ + 数å¼å‡¦ç†ã§ã¯ãªã数値探索ã®ã‚¢ãƒ«ã‚´ãƒªã‚ºãƒ を使ã£ã¦ã„ã‚‹ã®ã§ï¼Œå˜èª¿é–¢æ•°ã§ãªã„å ´åˆã¯ç¯„囲をã§ãã‚‹ã ã‘ç‹ãã¨ã‚‹ã¨ã‚ˆã„。値ãŒè¤‡æ•°ã‚ã‚‹å ´åˆã¯ï¼Œå°ã•ã„ã»ã†ãŒè¿”ã•ã‚Œã‚‹ã€‚\\ + +例:\verb|x=Inversefun("sin(x)","x=[0,pi/2]",0.5);|\\ +  実行ã™ã‚‹ã¨ $x=\dfrac{\pi}{6}$ ã¨ãªã‚‹ã€‚ +\begin{verbatim} +   Deffun("f(x)", ["regional(y)","y=sin(x)","y"]); +   x=Inversefun("f(x)","x=[0,pi/2]",0.5); +\end{verbatim} +  ã§ã‚‚åŒã˜çµæžœãŒè¿”ã•ã‚Œã‚‹ã€‚\\ +   \verb|x=Inversefun("f(x)","x=[pi/3,pi]",0.97);|\\ +  ã¯åŒºé–“è¨å®šãŒä¸é©åˆ‡ã§æ£ã—ã„çµæžœãŒå¾—られãªã„。\\ + \\ +例:アステãƒã‚¤ãƒ‰ä¸Šã«ç‚¹Pã‚’ã¨ã‚Šï¼ŒPã®$x$座標ã‹ã‚‰ï¼Œé€†é–¢æ•°å€¤$t$を求ã‚ã¦æŽ¥ç·šã‚’引ã。\\ +  ã§ããŸç‚¹Pã¯ãƒ‰ãƒ©ãƒƒã‚°ã—ã¦ã‚¢ã‚¹ãƒ†ãƒã‚¤ãƒ‰ä¸Šã‚’å‹•ã‹ã™ã“ã¨ãŒã§ãる。 +\begin{verbatim} +   Deffun("fx(t)", ["regional(x)","x=2*cos(t)^3","x"]); +   Deffun("fy(t)", ["regional(y)","y=2*sin(t)^3","y"]); +   Paramplot("1","[fx(t),fy(t)]","t=[0,2*pi]"); +   PutonCurve("P",gp1,1); +   if(P.y>=0,range="t=[0,pi]",range="t=[pi,2*pi]"); +   t0=Inversefun("fx(t)",range,P.x); +   dx=Derivative("fx(t)","t",t0); dy=Derivative("fy(t)","t",t0); +   Putpoint("Q",[0,0],P.xy+[dx,dy]); +   Lineplot([P,Q]); +   Drawpoint(P); +   Letter(P,"ne","P"); +\end{verbatim} +            \input{Fig/inversefun} + +\end{description} +\newpage +%=================================== +\subsection{作表} + +\begin{description} + +\hypertarget{tabledata}{} +\item[関数] Tabledata(name , 縦横データ, 除外線 , options) +\item[機能] 表ã®æž を作æˆã—,表ã®ãƒ‡ãƒ¼ã‚¿list を返㙠+\item[説明] Cinderellaã®æç”»é¢ä¸Šã«å·¦ä¸‹ã‚’原点ã¨ã™ã‚‹è¡¨ã‚’作æˆã™ã‚‹ã€‚\\ + 他ã®é–¢æ•°ã¨ã®å¼•æ•°ã®æ•´åˆæ€§ï¼Œ\ketpic ã®ã‚³ãƒžãƒ³ãƒ‰ã¨ã®æ•´åˆæ€§ãªã©ã‹ã‚‰ï¼Œå…ˆé ã«nameã®å¼•æ•°ã‚’ã¤ã‘ã‚‹ãŒï¼Œå®Ÿéš›ã«ã¯ã‚ã¾ã‚Šåˆ©ç”¨ã—ãªã„ã®ã§ï¼Œç©ºæ–‡å—""ã§ã‚‚よã„。\\ + optionsã¯ç·šç¨®ã¨"notex"ãªã©ã€‚\\ + 縦横データã«ã¯ï¼Œæ¬¡ã®ï¼’通りã®æ›¸å¼ãŒã‚る。\\ + \\ +(1) 横ã®ã‚»ãƒ«æ•° , 縦ã®ã‚»ãƒ«æ•° , 表ã®æ¨ªå¹… , 表ã®ç¸¦å¹… を指定ã™ã‚‹ã€‚\\ + 例: \verb|Tabledata("",4,5,80,50,[]);|\\ +(2) 横ã¨ç¸¦ã®å¹…を指定ã—ãŸãƒªã‚¹ãƒˆã‚’使ã†\\ + 例: \verb|Yoko=[20,20,20,20];|\\ +    \verb|Tate=[10,10,10,10,10];|\\ +    \verb|Tabledata("",Yoko,Tate,[]);|\\ + 上ã®ï¼’ã¤ã®ã‚¹ã‚¯ãƒªãƒ—トã¯åŒã˜è¡¨ã‚’作æˆã™ã‚‹ã€‚å¹…ã¯Cinderellaã®æç”»é¢ã®0.1ã‚’å˜ä½ã¨ã™ã‚‹ã€‚\\ + 作æˆã•ã‚ŒãŸè¡¨ã«ã¯ï¼Œè¡Œï¼Œåˆ—ã®åˆ¶å¾¡ç‚¹ãŒã¤ã。画é¢ä¸Šã§ã¯ï¼Œæ¨ªç½«ç·šã®ç•ªå· r0,r1,・・・ 縦罫線ã®ç•ªå· c1,c2,・・・ã¨è¦‹ã‚‹ã“ã¨ã‚‚ã§ãる。ã¾ãŸï¼Œç¸¦å¹…,横幅ãŒæ•°å—ã§ç¤ºã•ã‚Œã‚‹ã€‚ãŸã ã—,ã“れらã¯\TeX ã«ã¯å‡ºåŠ›ã•ã‚Œãªã„。\\ + ã¾ãŸï¼Œä½œè¡¨ã¯Cinderellaã®æç”»é¢ä¸Šã§ã¯åº§æ¨™å¹³é¢ä¸Šã«ç½®ã‹ã‚Œã‚‹ãŒï¼Œ\TeX ã¸ã®å‡ºåŠ›ã¯åº§æ¨™å¹³é¢ä¸Šã«ã¯ç½®ã‹ãªã„ã“ã¨ãŒå¤šã„ã®ã§ï¼Œåº§æ¨™è»¸ã¯éžè¡¨ç¤ºã¨ã—ã¦ã„る。\\ + +\includegraphics[bb=0 0 807 499 , width=6cm]{Fig/table01.png} →  +\input{Fig/table02}\\ + + 表ã®ã‚µã‚¤ã‚ºï¼Œè¡Œå¹…,列幅ã¯ï¼Œä½œæˆå¾Œã«ãã‚Œãžã‚Œã®åˆ¶å¾¡ç‚¹ã‚’ドラッグã™ã‚‹ã“ã¨ã«ã‚ˆã‚Šä»»æ„ã«å¤‰ãˆã‚‹ã“ã¨ãŒã§ãる。\\ + + 除外線ã¯ï¼Œé™¤å¤–ã™ã‚‹ã‚»ãƒ«ã®ç½«ç·šã‚’,rã¨c ã§ä½ç½®æŒ‡å®šã™ã‚‹ã€‚\\ +  横罫線ã®å ´åˆï¼Œæ¨ªç½«ç·šã®ç•ªå·ï¼Œç¯„囲(ã‹ã‚‰ï¼Œã¾ã§ï¼‰\\ +  縦罫線ã®å ´åˆï¼Œç¸¦ç½«ç·šã®ç•ªå·ï¼Œç¯„囲(ã‹ã‚‰ï¼Œã¾ã§ï¼‰\\ +ã¨ã™ã‚‹ã€‚\\ + + 例:\verb|Rmv=["r1c0c1","c3r0r1","c3r3r5","r4c2c4"];|\\ +   \verb|Tabledata("",4,5,80,50,Rmv);|\\ + ã§ï¼Œæ¬¡ã®è¡¨ãŒã§ãる。\\ + \\ +     \includegraphics[bb=0 0 784 503 , width=6cm]{Fig/table03.png}\\ + 除外ã™ã‚‹ç½«ç·šãŒãªã„å ´åˆã¯ï¼Œç©ºãƒªã‚¹ãƒˆã¨ã™ã‚‹ã€‚\\ + + 例:\verb|Tabledata("",Yoko,Tate,[]);|\\ +\\ + Tabledata()関数ã¯ï¼Œåˆ¶å¾¡ç‚¹r0,r1,・・・,c0,c1,・・・ ãŒãªã‘ã‚Œã°æ–°ã—ã作り,ã™ã§ã«å˜åœ¨ã™ã‚‹å ´åˆã¯ãã®ã¾ã¾ã¨ã™ã‚‹ã€‚ã—ãŸãŒã£ã¦ï¼Œä¸€åº¦è¡¨ã‚’作æˆã—ãŸã®ã¡ï¼Œè¡Œæ•°ãƒ»åˆ—æ•°ã‚’ä¿®æ£ã—ã¦ä½œã‚Šç›´ã™å ´åˆã¯ï¼Œä¸€åº¦æ—¢å˜ã®ç‚¹ã‚’消去ã™ã‚‹å¿…è¦ãŒã‚る。ãã®ãŸã‚ã«ã¯ï¼Œã€Œã™ã¹ã¦ã®ç‚¹ã‚’é¸æŠžã™ã‚‹ã€ãƒ„ールをクリックã—ã¦ç‚¹ã‚’消去ã™ã‚‹ã®ãŒã‚ˆã„。クリックã™ã‚‹ã¨ï¼Œæ¶ˆåŽ»å¾Œã™ãã«æ–°è¦ä½œæˆã•ã‚Œã‚‹ã€‚\\ + ã™ã§ã«ä»–ã®ç‚¹ã‚’æç”»ã—ã¦ã—ã¾ã£ãŸå ´åˆã¯ï¼Œè¡¨ç¤ºãƒ¡ãƒ‹ãƒ¥ãƒ¼ã®ã€Œå¼ã«ã‚ˆã‚‹è¡¨ç¤ºã€ã§ä¸€è¦§è¡¨ã‚’出ã—ã¦ï¼Œåˆ¶å¾¡ç‚¹ã‚’é¸æŠžã—ã¦æ¶ˆåŽ»ã™ã‚‹ã€‚\\ + ãŸã ã—,行数,列数ãŒå¤šã™ãŽãŸå ´åˆã¯ï¼Œå¿…ãšã—も作り直ã™å¿…è¦ã¯ãªã„。Settable() 関数ã«ã‚ˆã‚Šï¼Œå®Ÿéš›ã«æ›¸ã出ã™è¡¨ã®ç¯„囲を指定ã§ãã‚‹ã‹ã‚‰ã§ã‚る。\\ + + ãªãŠï¼Œè¡¨ã‚’作æˆã—ãŸã¨ãã¯ï¼Œè¡¨ã®ç¯„囲ãŒå‡ºåŠ›ç¯„囲ã¨ã—ã¦å„ªå…ˆã•ã‚Œã‚‹ï¼ˆTabledata()を実行ã—ãŸã¨ã)ã®ã§ï¼Œè¡¨å¤–ã«å›³ã‚’æã„ãŸå ´åˆã¯ï¼Œæœ€å¾Œã«ã“ã®é–¢æ•°ã§å‡ºåŠ›ç¯„囲を指定ã—ã¦æ›¸ã出ã™ã€‚\\ + +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} + +\hypertarget{tabledatalight}{} +\item[関数] Tabledatalight(name , 縦横データ, 除外線 , options) +\item[機能] 幾何点をæŒãŸãªã„表ã®æž を作æˆã—,表ã®ãƒ‡ãƒ¼ã‚¿list を返㙠+\item[説明] Tabledata()ãŒCinderellaã®å¹¾ä½•ç‚¹ã‚’生æˆã™ã‚‹ã®ã«å¯¾ã—,ã“ã¡ã‚‰ã¯å¹¾ä½•ç‚¹ã‚’生æˆã—ãªã„。\\ + 幾何点を作æˆã—ãªã„メリットã¯ï¼Œã‚¹ã‚¯ãƒªãƒ—トã ã‘ã§ç¸¦æ¨ªå¹…を変更ã§ãã‚‹ã“ã¨ã€‚デメリットã¯ã‚¤ãƒ³ã‚¿ãƒ©ã‚¯ãƒ†ã‚£ãƒ–ãªå¾®èª¿æ•´ãŒã§ããªã„ã“ã¨ã€‚\\ + optionã¨ã—ã¦ï¼Œãƒ©ãƒ™ãƒ«ã®ã‚¹ã‚ップ値(スã‚ップã™ã‚‹ã¨ã“ã‚ã¯è¡¨ç¤ºã•ã‚Œãªã„)を指定ã™ã‚‹ã“ã¨ãŒã§ãる。ãŸã ã—,ラベルã¯Cinderellaã®ç”»é¢ä¸Šã ã‘ã®å•é¡Œã€‚\\ + \\ + 例: \verb|Yoko=[20,20,20,20];|\\ +   \verb|Tate=[10,10,10,10,10];|\\ +   \verb|Tabledatalight("",Yoko,Tate,[],[2]);|\\ + ã¨ã™ã‚‹ã¨ï¼Œr1,r3,c1,c2 ãŒéžè¡¨ç¤ºã¨ãªã‚‹ã€‚\\ + + +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} + +\hypertarget{tableseg}{} +\item[関数] Tableseg( 罫線リスト, 線種) +\item[機能] 罫線ã®ç·šç¨®ã‚’指定ã™ã‚‹ +\item[説明] 罫線リストを与ãˆã¦ç·šç¨®ã‚’指定ã™ã‚‹\\ + 罫線リストã¯ï¼Œ["r1c0c1","r4c2c4"] ã®ã‚ˆã†ã«ä¸Žãˆã‚‹ã€‚\\ +ã€€ç ´ç·šãƒ»ç‚¹ç·šã«ã™ã‚‹å ´åˆã¯ï¼ŒTabledata()ã§ã‚らã‹ã˜ã‚除外ã—ã¦ãŠã。\\ + + 例: \verb|Rmv=["r1c0c1","c3r0r1","c3r3r5","r4c2c4"];|\\ +   \verb|Tabledata("",4,5,80,50,Rmv);|\\ +   \verb|Tableseg(["r1c0c1","r4c2c4"],["da"]);|\\ + +     \input{Fig/tableseg}\\ + + 注)R0,C0,・・ã¯å®Ÿéš›ã«ã¯è¡¨ç¤ºã•ã‚Œãªã„\\ + \\ +\hypertarget{changetablestyle}{} +\item[関数] ChangeTablestyle(罫線リスト, 変更オプション) +\item[機能] Table ã®ç½«ç·šã®æ画オプションを変更 +\item[説明] 罫線を部分的ã«æŒ‡å®šã—ã¦æ画オプションを変更ã§ãる。\\ + \\ +例:\verb|ChangeTablestyle(["r0c0c3"],["da"]);| + \\ + \\ +\hypertarget{findcell}{} +\item[関数] Findcell(列番å·, 行番å·) +\item[機能] セルã®æƒ…å ±list(ä¸å¿ƒï¼Œæ¨ªå¹…ï¼ï¼’,縦幅ï¼ï¼’)を返㙠+\item[説明] 列番å·ï¼Œè¡Œç•ªå·ã¯å·¦ä¸Šã®ã‚»ãƒ«ã‚’1列1行ã¨ã—ã¦æ•°ãˆã‚‹ã€‚ \\ + +例:\verb|Tabledata(4,5,80,50,[]);|\\ +  \verb|println(Findcell(tb,2,1));|\\ +  ã¨ã™ã‚‹ã¨ï¼Œï¼’列1行ã®ã‚»ãƒ«ã®ä¸å¿ƒã®åº§æ¨™ã¨æ¨ªå¹…ã®åŠåˆ†ï¼Œç¸¦å¹…ã®åŠåˆ†ã®å€¤ãŒãƒªã‚¹ãƒˆã¨ã—ã¦ã‚³ãƒ³ã‚½ãƒ¼ãƒ«ã«è¡¨ç¤ºã•ã‚Œã‚‹ã€‚çµæžœã¯ [[3,4.5],1,0.5]\\ + +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} + +\hypertarget{putcell}{} +\item[関数] Putcell (列番å·, 行番å·, ä½ç½®, æ–‡å—データ) +\item[機能] セルã«æ–‡å—列を入れる +\item[説明] 複数ã®ã‚»ãƒ«ã«ã¾ãŸãä½ç½®æŒ‡å®šã®å ´åˆï¼Œåˆ—番å·ï¼Œè¡Œç•ªå·ã¯ï¼Œã‚»ãƒ«å·¦ä¸Šã¨å³ä¸‹ã®åˆ¶å¾¡ç‚¹ã®å称ã§æŒ‡å®šã™ã‚‹ã€‚\\ + ä½ç½®ã¯ã€€c, r, l, t, b (ä¸å¤®center , å³right , å·¦left , 上top , 下bottom )\\ + ä½ç½®ã®ä¾‹ã‚’以下ã«ç¤ºã™ã€‚ +\begin{verbatim} +  Tabledata("",5,2,100,40,["c1r1r2","c4r1r2"]); +  Putcell(1,1,"c","A"); +  Putcell(2,1,"r","B"); +  Putcell(3,1,"l","C"); +  Putcell(4,1,"t","D"); +  Putcell(5,1,"b","E"); +  Putcell(c0r1,c2r2,"c","F"); +  Putcell(c2r1,c3r2,"lb","G"); +  Putcell(c3r1,c5r2,"rt","H"); +\end{verbatim} + \\ +   \input{Fig/putcell}\\ + ※R0,C0,・・ã¯å®Ÿéš›ã«ã¯è¡¨ç¤ºã•ã‚Œãªã„\\ + +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} + +\hypertarget{putcol}{} +\item[関数] PutcoL (列番å·, æ–‡å—ä½ç½®ï¼Œæ–‡å—列リスト) +\item[機能] 1列ã«é †ã«æ–‡å—を書ã入れる +\item[説明] 列番å·ã§æŒ‡å®šã—ãŸåˆ—ã«ï¼Œç¬¬ï¼‘è¡Œã‹ã‚‰é †ã«æ–‡å—列リストã®æ–‡å—を書ã入れる\\ + 数ã®å ´åˆã¯ãƒ€ãƒ–ルクウォートã§ããらãªãã¦ã‚‚よã„。\\ + セルを飛ã°ã™å ´åˆã¯ï¼ŒãƒŒãƒ«æ–‡å—列 "" を書ã。\\ + + +\hypertarget{putcolexpr}{} +\item[関数] PutcoLexpr (列番å·, æ–‡å—ä½ç½®ï¼Œæ–‡å—列リスト) +\item[機能] 1列ã«é †ã«æ–‡å—を書ã入れる +\item[説明] 文å—列ã«\TeX 書å¼ã‚’使ã†ã“ã¨ãŒã§ãã‚‹\\ + +\hypertarget{putrow}{} +\item[関数] Putrow (行番å·, æ–‡å—ä½ç½®ï¼Œæ–‡å—列リスト) +\item[機能] 1行ã«é †ã«æ–‡å—を書ã入れる +\item[説明] 行番å·ã§æŒ‡å®šã—ãŸè¡Œã«ï¼Œç¬¬ï¼‘列ã‹ã‚‰é †ã«æ–‡å—列リストã®æ–‡å—を書ã入れる。\\ + + +\hypertarget{putrowexpr}{} +\item[関数] Putrowexpr (行番å·, æ–‡å—ä½ç½®ï¼Œæ–‡å—列リスト) +\item[機能] 1行ã«é †ã«æ–‡å—を書ã入れる +\item[説明] 文å—列ã«\TeX 書å¼ã‚’使ã†ã“ã¨ãŒã§ãã‚‹\\ + +æ–‡å—を入れる例を示ã™ã€‚ +\begin{verbatim} +  Tabledata("",5,3,100,45,["c1r1r2","r1c2c3","r2c2c3"]); +  PutcoL(3,"c",["A","B","C"]); +  PutcoLexpr(4,"l",["x^2","y=\sqrt{x^3}"]); +  Putrow(1,"c",[1,"二"]); +  Putrowexpr(3,"c",["","\frac{\pi}{2}","","","\sum{x^2}"]); +\end{verbatim} + +     \input{Fig/putcol}\\ + + ※ R0,C0,・・ã¯å®Ÿéš›ã«ã¯è¡¨ç¤ºã•ã‚Œãªã„\\ +  ã¾ãŸï¼Œã“ã®ä¾‹ã§ã¯ï¼ŒC4列ã®ç½«ç·šã‚’,制御点C4をドラッグã™ã‚‹ã“ã¨ã«ã‚ˆã‚Š\\ +  å³ã«ãšã‚‰ã—ã¦ã„る。\\ +\\ + +グラフや文を入れãŸè¡¨ã®ä½œæˆä¾‹\\ + + PutcoLexpr(),Putrowexpr() ã§ã¯ï¼Œæ•°å¼ã ã‘ã§ãªã,一般ã®\TeX ã®æ–‡ã‚’入れるã“ã¨ãŒã§ãる。\\ + ã¾ãŸï¼Œã‚°ãƒ©ãƒ•ã®ä½ç½®ã‚’é©å½“ã«åˆã‚ã›ã¦æç”»ã™ã‚‹ã“ã¨ã«ã‚ˆã‚Šï¼Œè¡¨ã®ã‚»ãƒ«ã®ä¸ã«ã‚°ãƒ©ãƒ•ã‚’入れるã“ã¨ãŒã§ãる。\\ + + 例:2次関数ã®ã‚°ãƒ©ãƒ•ã¨ï¼’次方程å¼ã®åˆ¤åˆ¥å¼ã®é–¢ä¿‚\\ +  セルã®ä¸ã«ã‚°ãƒ©ãƒ•ã‚’æã例。実際ã«ã¯ï¼Œã‚»ãƒ«ã®ä½ç½®ã«ã‚°ãƒ©ãƒ•ã‚’æã„ã¦ã„ã‚‹ã ã‘。 +\begin{verbatim} +  Tabledata("",3,3,120,90,["r1c0c3","r2c0c3"],["dr,2"]); +  Tableseg(["r1c0c3"],["dr"]); +  Tableseg(["r2c0c3"],["da"]); +  Plotdata("1","(x-2)^2+1.5","x=[0.5,3.5]"); +  Plotdata("2","(x-6)^2+2","x=[4.5,7.5]"); +  Plotdata("3","(x-10)^2+2.5","x=[8.5,11.5]"); +  Listplot([A,B]); +  Listplot([C,D]); +  Listplot([E,F]); +  Putrowexpr(1,"c",["D>0","D=0","D<0"]); +  Putrow(2,"c",["2点ã§äº¤ã‚ã‚‹","接ã™ã‚‹","共有点ãªã—"]); +  Letter(G,"c","判別å¼ã¨$x$軸ã®äº¤ç‚¹"); +\end{verbatim} + \\ +       \input{Fig/tablesample1}\\ +\\ +注æ„:ã“ã®ä¾‹ã‚’実行ã™ã‚‹ã¨ã‚ã‹ã‚‹ãŒï¼Œã‚»ãƒ«ã®ã‚µã‚¤ã‚ºã¨æ–‡å—サイズã®é–¢ä¿‚ãªã©ã«ã‚ˆã‚Šï¼ŒCinderellaã®ç”»é¢ä¸Šã¨\TeX ã¸ã®æ›¸ã出ã—ã¯å¿…ãšã—ã‚‚åŒä¸€ã«ã¯ãªã‚‰ãªã„。\\ + +\newpage + 例:増減表ã¨ã‚°ãƒ©ãƒ•\\ + + 関数ã®å¢—減表ã¨ã‚°ãƒ©ãƒ•ã‚’1ã¤ã®è¡¨ã®ä¸ã«å…¥ã‚ŒãŸä¾‹ã€‚ +\begin{verbatim} +  Tate=[6,6,10,6,10,6,40]; +  Yoko=[30,6,6,6]; +  Rmv=["c1r0r1","c2r0r1","c3r0r1","c4r0r1","c5r0r1", "r1c6c7","r2c6c7","r3c6c7"]; +  Tabledata("",Tate,Yoko,Rmv,["dr"]); +  Tlistplot("23d",["c1r2","c2r3"]); +  Tlistplot("23u",["c1r3","c2r2"]); +  Putrowexpr(2,"c",["x",0,"\cdots","\tfrac{1}{4}","\cdots",4]); +  Putrowexpr(3,"c",["y`","","-",0,"+"]); +  Putrowexpr(4,"c",["y",0,"\searrow","-\tfrac{1}{4}","\nearrow",2]); +  Putcell(1,1,"l2t2","{\small\begin{minipage}{44mm}$y=x-\sqrt{x}$\\$y`= +  \dfrac{2\sqrt{x}-1}{2\sqrt{x}}=0$|より\vspace{1mm}\\\hspace*{2zw}$x= +  \dfrac{1}{4}$\vspace{1mm}\\増減表ã¯æ¬¡ã®ã‚ˆã†ã«ãªã‚‹\end{minipage}}" ); +  Plotdata("1","x-sqrt(x)","x=[0,3]",["do","notex"]); +  Listplot("2",[[0,0],[3,0]],["do","notex"]); +  Listplot("3",[[0,-0.5],[0,3]],["do","notex"]); +  Translatedata("1","gr1",[4.9,1],["dr"]); +  Translatedata("2","sg2",[4.9,1],["dr"]); +  Translatedata("3","sg3",[4.9,1],["dr"]); +  Letter(Ptend(tr2),"e1","\small{$x$}"); +  Letter(Ptend(tr3),"n1","\small{$y$}"); +  Letter(Ptstart(tr2),"w1","\small O"); +  Expr(Ptend(tr1),"nw-2","y=x-\sqrt{x}"); +\end{verbatim} +       \input{Fig/tablesample2} +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} + +\hypertarget{settable}{} +\item[関数] Settable((左上) , å³ä¸‹) +\item[機能] 表データを書ã出㙠+\item[説明] 指定ã•ã‚ŒãŸç¯„囲ã§è¡¨ã®æž 線を書ã出ã™ã€‚指定ã—ãªã‘ã‚Œã°å…¨ä½“ãŒæ›¸ã出ã•ã‚Œã‚‹ã€‚\\ + 表ã®å‡ºåŠ›ç¯„囲ã¯ï¼ŒNE,SWã«ã‚ˆã‚‹æ画範囲ã«ã‹ã‹ã‚‰ã‚ãšï¼Œå…¨ä½“ã‚‚ã—ãã¯Settable()ã§æŒ‡å®šã—ãŸç¯„囲ã¨ãªã‚‹ã€‚\\ + ä½ç½®ã¯ï¼Œåˆ¶å¾¡ç‚¹ã«ã‚ˆã‚‹ä½ç½®è¡¨ç¤ºã§ï¼Œc2r3 ã®ã‚ˆã†ã«æŒ‡å®šã™ã‚‹ã€‚\\ + c,rã¯å°æ–‡å—㧠c,r ã®é †ã€‚\\ + 左上をçœç•¥ã™ã‚‹ã¨ï¼Œãƒ‡ãƒ•ã‚©ãƒ«ãƒˆã® c0r0 ã¨è§£é‡ˆã•ã‚Œã‚‹ã€‚\\ + +例:\verb|Tabledata("",4,5,80,50,[]);|\\ +  \verb|repeat(5,s, Putrow(s,"c",[s*4-3,s*4-2,s*4-1,s*4]));|\\ +  \verb|Settable(c4r5);|\\ + + 2行目ã§å„セルã«æ•°å—を入れã¦ã„る。\\ + 左上ã¨å³ä¸‹ï¼ˆç½«ç·šC4ã¨R5ã®äº¤ç‚¹ï¼‰ã‚’対角ã¨ã™ã‚‹ç¯„囲,ã™ãªã‚ã¡å…¨ä½“を書ã出ã™ã€‚\\ +  \verb|Settable(c3r4);|\\ + ã¨ã™ã‚‹ã¨ï¼Œå·¦ä¸Šã¨å³ä¸‹ï¼ˆç½«ç·šC3ã¨R4ã®äº¤ç‚¹ï¼‰ã‚’対角ã¨ã™ã‚‹ç¯„囲。\\ + 出力ã™ã‚‹ã®ã¯ç½«ç·šã ã‘ãªã®ã§ï¼Œã‚»ãƒ«ã®ä¸èº«ã¯ãã®ã¾ã¾è¡¨ç¤ºã•ã‚Œã‚‹ã€‚(下図左)\\ +  \verb|Settable(c1r1,c3r4);|\\ + ã¨ã™ã‚‹ã¨ï¼Œå·¦ä¸Šï¼ˆç½«ç·šC1ã¨R1ã®äº¤ç‚¹ï¼‰ã¨å³ä¸‹ï¼ˆç½«ç·šC3ã¨R4ã®äº¤ç‚¹ï¼‰ã‚’対角ã¨ã™ã‚‹ç¯„囲。\\ + 罫線ã ã‘ãªã®ã§ï¼Œã‚»ãƒ«ã®ä¸èº«ã¯ãã®ã¾ã¾è¡¨ç¤ºã•ã‚Œã‚‹ã€‚(下図å³ï¼‰\\ +\\ +  \input{Fig/settable1}        \input{Fig/settable2}\\ + \\ + \\ +\hypertarget{tgrid}{} +\item[関数] Tgrid(セルラベル) +\item[機能] 表ã®ã‚»ãƒ«ã®åº§æ¨™ã‚’返㙠+\item[説明] 指定ã•ã‚ŒãŸã‚»ãƒ«ã®å·¦ä¸Šã®åº§æ¨™ã‚’è¿”ã™ã€‚実際ã«ã¯ï¼Œã‚»ãƒ«ãƒ©ãƒ™ãƒ«ã¯ç½«ç·šã‚’示ã—ã¦ã„ã‚‹ã®ã§ï¼ŒæŒ‡å®šã—ãŸç½«ç·šã®äº¤ç‚¹ï¼ˆæ ¼å点)ã¨ã„ã†ã“ã¨ã‚‚ã§ãる。\\ + \\ +\hypertarget{tlistplot}{} +\item[関数] Tlistplot(セルラベル1,セルラベル2) +\item[機能] 指定ã•ã‚ŒãŸï¼’ã¤ã®æ ¼å点を線分ã§çµã¶ +\item[説明] セルã«æ–œç·šã‚’引ãã®ã«ç”¨ã„る。\\ +  例:\verb|Tlistplot(["c0r1","c1r2"]);| + \\ +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} + +\end{description} + +\newpage + +%=================================== +\subsection{値ã®å–å¾—ã¨å…¥å‡ºåŠ›} + + 計算値やプãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã®å€¤ã‚’å–å¾—ã—ãŸã‚Šï¼ŒScilab用ã¨ã®ãƒ‡ãƒ¼ã‚¿ã®ã‚„ã‚Šã¨ã‚Šã‚’ã™ã‚‹ã€‚\\ +\begin{description} + +\hypertarget{crossprod}{} +\item[関数] Crossprod(リスト,リスト) +\item[機能] 2ã¤ã®ãƒ™ã‚¯ãƒˆãƒ«ã®å¤–ç©ã‚’求ã‚る。 +\item[説明] Cindyscriptã®çµ„ã¿è¾¼ã¿é–¢æ•° cross(リスト,リスト)ã¨åŒã˜ã€‚\\ + 例:\verb|Crossprod([1,0,0],[1,1,1]);|\\ +   çµæžœã¯ã€€[0,-1,1]\\ + +\hypertarget{dotprod}{} +\item[関数] Dotprod(リスト,リスト) +\item[機能] 2ã¤ã®ãƒ™ã‚¯ãƒˆãƒ«ã®å†…ç©ã‚’求ã‚る。 +\item[説明] Cindyscriptã§ã¯ï¼Œç©ã®æ¼”ç®—ã§å†…ç©ãŒæ±‚ã‚られる。\\ + 例:\verb|Dotprod([1,2,3],[1,-1,1]);|\\ +   çµæžœã¯ã€€ï¼’\\ +   [1,2,3]*[1,-1,1] ã§ã‚‚åŒã˜çµæžœã‚’得る。\\ + +\hypertarget{findarea}{} +\item[関数] Findarea(プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿) +\item[機能] プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã§å›²ã¾ã‚Œã‚‹éƒ¨åˆ†ã®é¢ç©ã‚’求ã‚る。 +\item[説明] 閉曲線をãªã™ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã§å›²ã¾ã‚Œã‚‹éƒ¨åˆ†ã®é¢ç©ã‚’求ã‚る。\\ +例:ベジェ曲線ã§å›²ã¾ã‚ŒãŸéƒ¨åˆ†ã®é¢ç©ã‚’求ã‚ã¦è¡¨ç¤ºã™ã‚‹ã€‚\\ +  \verb|Bezier("1",[A,B,C],[[D],[E,F]]);|\\ +  \verb|drawtext([2,1],Findarea("bz1"));|\\ + +\hypertarget{findlength}{} +\item[関数] Findlength(プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿) +\item[機能] プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã®æ›²ç·šã®é•·ã•ã‚’求ã‚る。 +\item[説明] プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ãŒæã曲線ã®é•·ã•ã‚’求ã‚る。\\ +例:ベジェ曲線ã§æã„ãŸæ›²ç·šã®é•·ã•ã‚’求ã‚ã¦è¡¨ç¤ºã™ã‚‹ã€‚\\ +  \verb|Bezier("1",[A,B,C],[[D],[E,F]]);|\\ +  \verb|drawtext([2,1],Findlength("bz1"));|\\ + + +\hypertarget{intersectcrvs}{} +\item[関数] Intersectcrvs(プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿1, プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿2, optionss) +\item[機能] 2曲線ã®äº¤ç‚¹ãƒªã‚¹ãƒˆã‚’å–å¾—ã™ã‚‹ã€‚ +\item[説明] オプションã¯å…±æœ‰ç‚¹ãŒã‚ã‚‹ã‹ã©ã†ã‹ã‚’判æ–ã™ã‚‹ãŸã‚ã®é™ç•Œå€¤\\ +ãŸã ã—,オプションã¯é€šå¸¸ã¯ä½¿ã‚ãªã„ã®ã§æ°—ã«ã—ãªãã¦ã‚ˆã„。\\ + \\ +例:円ã¨æ›²ç·šã®äº¤ç‚¹ã‚’P,Qã¨ã™ã‚‹ã€‚ +\begin{verbatim} +   Plotdata("1", "sin(x)", "x", ["Num=100"]); +   Circledata([A, B]); +   tmp=Intersectcrvs(gr1, crAB); +   P.xy=tmp_1; +   Q.xy=tmp_2; + \end{verbatim} + + リスト内ã«2交点ã®ãƒ‡ãƒ¼ã‚¿ãŒ tmpï¼[ [ $-0.37$, $-0.36$ ], [ 2.13, 0.85 ] ] ã®ã‚ˆã†ã«å…¥ã£ã¦ã„る。交点ã®é †åºã¯ PD1, PD2 ã®é †åºã¨æ›²ç·šã®å‘ãã«ã‚ˆã£ã¦æ±ºã¾ã‚‹ã€‚曲線ã®å‘ãã¯ï¼Œ$y=f(x)$ã®ã‚°ãƒ©ãƒ•ã§ã¯x座標ãŒå¢—åŠ ã™ã‚‹å‘ãã§ï¼Œãƒ‘ラメーター表示曲線ã§ã¯ãƒ‘ラメータã®å¢—åŠ ã™ã‚‹å‘ã。ã¾ãŸï¼ŒPD1 上ã‹ã‚‰æŽ¢ã—始ã‚㦠PD2 ã¨ã®äº¤ç‚¹ã‚’拾ã£ã¦ã‚†ã。\\ + 交点ãŒã²ã¨ã¤ã®å ´åˆã‚‚ tmpï¼[ [ 2.45, 0.63 ] ] ã¨2é‡ã®ãƒªã‚¹ãƒˆã«å…¥ã£ã¦ã„ã‚‹ã®ã§ï¼Œç‚¹ã¨ã—ã¦å–出ã™ã«ã¯ P=tmp\verb|_|1; ã¨ã™ã‚‹ã€‚\\ +\begin{center} +\input{Fig/Intersectcrvs1}\\ +\end{center} + +\hypertarget{invert}{} +\item[関数] Invert(PD) +\item[機能] プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã®ç‚¹ã‚’é€†é †ã«ã™ã‚‹ï¼ˆreverseã¨åŒã˜ï¼‰ +\\ + +\hypertarget{meetcurve}{} +\item[関数] MeetCurve(曲線,x0, y0) +\item[機能] 曲線上ã®ç‚¹ã‚’è¿”ã™ã€‚ +\item[説明] x座標ãŒx0ã§ï¼Œç‚¹(x0, y0)ã«è¿‘ã„曲線上ã®ç‚¹ã‚’è¿”ã™ã€‚\\ +注)x0, y0 ã¯æ–‡å—列ã§ã‚‚よã„。\\ + +\hypertarget{lcrd}{} +\item[関数] Lcrd() +\item[機能] 幾何点,リスト点ã®è«–ç†åº§æ¨™ã‚’å–å¾—ã™ã‚‹ã€‚ +\\ + +\hypertarget{pcrd}{} +\item[関数] Pcrd() +\item[機能] 幾何点,リスト点ã®ç‰©ç†ï¼ˆè¡¨ç¤ºï¼‰åº§æ¨™ã‚’å–å¾—ã™ã‚‹ã€‚ +\\ + + +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} + +\hypertarget{nearestpt}{} +\item[関数] Nearestpt(PD1,PD2) +\item[機能] 2曲線ã«å¯¾ã—,最も近ã„点ã¨ãã®ãƒ‘ラメータ,è·é›¢ã®ãƒªã‚¹ãƒˆã‚’返㙠+\item[説明] 戻り値ã¯ï¼Œãã‚Œãžã‚Œã®æ›²ç·šä¸Šã®ç‚¹ã®åº§æ¨™ã¨ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ä¸ã®ä½ç½®ï¼Œãã®è·é›¢ã‹ã‚‰ãªã‚‹ãƒªã‚¹ãƒˆã€‚\\ +例:2ã¤ã®æ”¾ç‰©ç·šä¸Šã®ç‚¹ã®æœ€çŸè·é›¢ã¨ãã®ä½ç½®ã‚’求ã‚る。点A,Bを作図ツールã§ã¨ã£ã¦ãŠã。 +\begin{verbatim} +  Plotdata("1", "x^2+2", "x=[-2,2]"); +  Plotdata("2", "-(x-2)^2","x=[0,3]"); +  plist=Nearestpt("gr2","gr1"); +  B.xy=plist_1; +  A.xy=plist_3; +  Listplot([A,B],["do"]); +  Ptsize(4); +  Drwpt([A,B]); +  Letter([A,"nw","A",B,"n2e","B",(A+B)/2,"e",text(plist_5)]); +\end{verbatim} +      \input{Fig/Nearestpt}\\ +\\ +ã“ã“㧠plistã«ä»£å…¥ã•ã‚ŒãŸãƒªã‚¹ãƒˆã¯æ¬¡ã®å½¢ã§ã‚る。5番目ã®è¦ç´ ãŒï¼’点間ã®è·é›¢ï¼Œã™ãªã‚ã¡æœ€çŸè·é›¢ã€‚\\ +  [[1.68,-0.1],29,[0.32,2.1],30,2.59] \\ + \\ +\hypertarget{nearestptcrv}{} +\item[関数] Nearestptcrv(座標, プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿) +\item[機能] 第1引数ã®åº§æ¨™ã«æœ€ã‚‚è¿‘ã„曲線プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ä¸Šã®ç‚¹åº§æ¨™ã‚’返㙠+\item[説明] 次ã«ä¾‹ç¤ºã™ã‚‹ã€‚ä¸å¿ƒA,åŠå¾„ABã®å††ã¨ç‚¹C,Dã¯Cinderellaã§ä½œå›³ã—ã¦ãŠã。 +\begin{verbatim} +  Circledata([A, B]); +  Plotdata("1", "x^2", "x"); +  pCr=Nearestptcrv(C.xy, "crAB") +  pC1=Nearestptcrv(C.xy, "gr1") +  pDr=Nearestptcrv(D.xy, "crAB"); +  pD1=Nearestptcrv(D.xy, "gr1"); +\end{verbatim} +ãžã‚Œãžã‚Œï¼Œç‚¹C,点D ã‹ã‚‰æœ€ã‚‚è¿‘ã„曲線上ã®ç‚¹ã‚’表ã™ã€‚\\ + \\ +      \input{Fig/Nearestpt1}\\ + + \\ +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} + +\hypertarget{numptcrv}{} +\item[関数] Numptcrv (プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿) +\item[機能] 曲線ã®ç¯€ç‚¹ã®å€‹æ•°ã‚’返㙠+\item[説明] Cindyscript ã® length(PD)ã¨åŒã˜\\ + +例: 曲線上ã®ã„ãã¤ã‹ã®ç‚¹ã§åˆ†å‰²ã—ç ´ç·šã§å›³ç¤ºã™ã‚‹ã€‚\\ +区間$[-1, 2]$ã«å¯¾ã™ã‚‹2次関数ã®ã‚°ãƒ©ãƒ•ã‚’æã\\ +  \verb|Deffun("f(x)",["regional(y)","y=-x^2+4","y"]);|\\ +  \verb|Plotdata("1","f(x)","x=[-1,2]",["Num=200"]);|\\ +曲線ã®ç«¯ç‚¹ã‚’çµã¶ç›´ç·šã‚’æã\\ +  \verb|Lineplot("3",[Ptstart(gr1),Ptend(gr1)],["do"]);|\\ +節点ã®4分ã®ï¼‘ã§æ›²ç·šã‚’分割ã—ã¦ç ´ç·šã‚’æã\\ +  \verb|Lineplot("4",[Ptstart(gr1),Ptcrv(0.25*Numptcrv(gr1),gr1)],["da"]); |\\ +節点ã®2ç‰åˆ†ã§æ›²ç·šã‚’分割ã—ã¦ç ´ç·šã‚’æã\\ +  \verb|Lineplot("5",[Ptstart(gr1),Ptcrv(0.5*Numptcrv(gr1),gr1)],["da"]); |\\ +節点ã®4分ã®3ã§æ›²ç·šã‚’分割ã—ã¦ç ´ç·šã‚’æã\\ +  \verb|Lineplot("6",[Ptstart(gr1),Ptcrv(0.75*Numptcrv(gr1),gr1)],["da"]);| \\ +曲線上ã®ç‚¹Aã®æŽ¥ç·šã‚’引ã。 +\begin{verbatim} +  coef=Derivative("f(x)","x",G.x); +  Defvar("DC=coef"); +  Deffun("g(x)",["regional(y)","y=DC*(x-G.x)+G.y","y"]); +  Plotdata("2","g(x)","x",["dr,2"]); +\end{verbatim} +  \\ +\input{Fig/numptcrv}\\ + +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} + +\hypertarget{paramoncrv}{} +\item[関数] Paramoncrv(点ã®åº§æ¨™, 曲線ã®åå‰) +\item[機能] 曲線上ã®ç‚¹ã®ãƒ‘ラメータ値を返ã™ã€‚ +\item[説明] 曲線ã¯æŠ˜ã‚Œç·šã¨ã—ã¦æã‹ã‚Œã‚‹ãŒï¼Œæ›²ç·šä¸Šã®å„点ã¯ã“ã®æŠ˜ã‚Œç·šã®ç¯€ç‚¹ã‚’基準ã¨ã—ãŸãƒ‘ラメータ値をæŒã¤ã€‚パラメータ値ã¯æ•´æ•°éƒ¨åˆ†ãŒç¯€ç‚¹ã®ç•ªå·ï¼Œå°æ•°éƒ¨åˆ†ãŒç¯€é–“ã®ä½ç½®ã‚’表ã™ã€‚\\ + +例:図ã®ã‚ˆã†ãªç‚¹Pã‹ã‚‰Qã«è‡³ã‚‹å††å‘¨ä¸Šã®5ç‰åˆ†ç‚¹ã‚’節点ã¨ã™ã‚‹æŠ˜ã‚Œç·šsg1ã«ãŠã„ã¦ï¼Œ +$n$番目ã®ç·šåˆ†ä¸Šã®ç‚¹ã¯$n\leqq t\leqq n+1$ã®ç¯„囲ã®ãƒ‘ラメータ値をæŒã¤ã€‚\\ +図ã®ç‚¹$\mathrm{A}$ã¯2番目ã®ç·šåˆ†ä¸Šã«ã‚り,パラメータ値ã¯2.45ã§ã‚る。ã“ã®å€¤ã¯\\ +  \verb|Paramoncrv(A.xy,"sg1");|\\ +ã«ã‚ˆã£ã¦å¾—られる。\\ + \\ +       \input{Fig/paramoncrv}\\ + +\hypertarget{pointcrv}{} +\item[関数] Pointoncrv(点ã®ãƒ‘ラメータ値, PD) +\item[機能] 曲線上ã®ãƒ‘ラメータ値をæŒã¤ç‚¹ã®åº§æ¨™ã‚’è¿”ã™ã€‚ +\item[説明] 曲線(折れ線)上ã®ç¯€ç‚¹ã‚’基準ã¨ã—ãŸãƒ‘ラメータ値ã«ã‚ˆã‚Šç‚¹ã®ä½ç½®ãŒå®šã¾ã‚‹ã€‚\\ + +例:図ã®ã‚ˆã†ãªç‚¹$\mathrm{P}$ã‹ã‚‰$\mathrm{Q}$ã«è‡³ã‚‹åŠå††å‘¨ä¸Šã®5ç‰åˆ†ç‚¹ã‚’節点ã¨ã™ã‚‹æŠ˜ã‚Œç·šsg1ã«ãŠã„ã¦ï¼Œãƒ‘ラメータ値$4.5$ã‚’æŒã¤ç‚¹$\mathrm{A}$ã¯4番目ã®ç·šåˆ†ã®ä¸ç‚¹ã§ã‚る。ã—ãŸãŒã£ã¦\\ +  \verb|A.xy=Pointoncrv(4.5,"cr1");|\\ +ã«ã‚ˆã£ã¦ï¼Œç‚¹Aã‚’ä¸ç‚¹ã«ç½®ãã“ã¨ãŒã§ãる。\\ + \\ +        \input{Fig/pointoncrv} + +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} +\newpage +\hypertarget{ptcrv}{} +\item[関数] Ptcrv(n,プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿) +\item[機能] 曲線プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã®n 番目ã®ç¯€ç‚¹ã‚’返㙠+\item[説明] Cindyscript ã® PD\_n ã¨åŒã˜\\ + +例:楕円上ã®ç‚¹ã§åˆ†å‰²ã™ã‚‹ã€‚ã‚ã‹ã‚‰ã˜ã‚å¿…è¦ãªç‚¹ã‚’作図ã—ã¦ãŠã。 +\begin{verbatim} +   Circledata([O,P],["do","Num=100","notex"]); +   Scaledata("1","crOP",4/3,1); +   F.xy=[-sqrt(7),0]; +   A=Ptcrv(9,sc1); +   B=Ptcrv(16,sc1); +   Listplot("1",[A,F,B],["da"]); +   Partcrv("1",A,B,"sc1",["dr,3"]); +   Shade(["part1","sg1"],0.1); +   Arrowhead(B,"sc1",[1.5]); +   Letter([A,"ne","A",B,"ne","B",F,"s2","F"]); +\end{verbatim} +        \input{Fig/ptcrv} + +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} + +\hypertarget{ptstart}{} +\item[関数] Ptstart(プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿) , Ptend(プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿) +\item[機能] プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã®æœ€åˆã®ç‚¹ï¼Œæœ€å¾Œã®ç‚¹ã‚’å–å¾—ã™ã‚‹ã€‚ +\item[説明] プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã®æœ€åˆã®ç‚¹ï¼Œæœ€å¾Œã®ç‚¹ã®åº§æ¨™ã‚’è¿”ã™ã€‚\\ + \\ +例:定義域をé™å®šã—ãŸã‚°ãƒ©ãƒ•ã®ä¸¡ç«¯ã®ç‚¹ã‚’å–å¾—ã—線分ABを引ã。\\ +\begin{verbatim} +   Deffun("f(x)",["regional(y)","y=x^2","y"]); +   Plotdata("1","f(x)","x=[-1,2]",["dr"]); +   Lineplot("2",[Ptstart(gr1),Ptend(gr1)]); +\end{verbatim} +     \input{Fig/ptstart}\\ +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} + + \\ + +\hypertarget{readoutdata}{} +\item[関数] ReadOutData(ファイルå) +\item[機能] 外部データをèªã¿è¾¼ã‚€ +\item[説明] Scilabã®WriteOutDataã§ä½œã£ãŸãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿åˆ—ã®ãƒ‡ãƒ¼ã‚¿ãƒ•ã‚¡ã‚¤ãƒ«ã‚’èªã¿è¾¼ã‚€ã€‚\\ +引数をçœç•¥ã—ãŸå ´åˆã¯ï¼ŒFheadã§å®šç¾©ã—ãŸãƒ•ã‚¡ã‚¤ãƒ«åã®ãƒ†ã‚ストファイルã‹ã‚‰èªã¿è¾¼ã‚€ã€‚ +ファイルåã«ã¯ã‚³ãƒ³ãƒžã§åŒºåˆ‡ã£ã¦ãƒ‘スを与ãˆã‚‹ã“ã¨ãŒã§ãる。ãŸã¨ãˆã°ï¼Œ\\ +   \verb|ReadOutData("/datafolder","file.txt"); |\\ + \\ + \\ +\hypertarget{sprintf}{} +\item[関数] Sprintf(実数,é•·ã•) +\item[機能] å°æ•°ç‚¹ä»¥ä¸‹ã®é•·ã•ã‚’固定ã—ãŸæ–‡å—列ã«å¤‰æ› +\item[説明] 実数を,å°æ•°ç‚¹nä½ã¾ã§ã®æ•°ã¨ã—ãŸæ–‡å—列ã«å¤‰æ›ã™ã‚‹\\ + \\ +例 Sprintf(pi,2) 㯠3.14 ã‚’è¿”ã™\\ +  Sprintf(pi,7) 㯠3.1415927 ã‚’è¿”ã™\\ +注)pi 㯠Cindyscriptã®äºˆç´„変数ã§ï¼Œå††å‘¨çŽ‡ã‚’表ã™ã€‚ \\ + +\hypertarget{writetosci}{} +\item[関数] WritetoSci(引数) ,WritetoScibody(引数) +\item[機能] Scilab用ã®ã‚½ãƒ¼ã‚¹ãƒ•ã‚¡ã‚¤ãƒ«ã«æ›¸ã出㙠+\item[説明] ソースファイルã¸ã®æ›¸ã出ã—æ–¹ã«ï¼“ã¤ã®ã‚¿ã‚¤ãƒ—ãŒã‚ã‚‹\\ + +・引数ãªã—ã®å ´åˆ\\ +  Fheadã§å®šç¾©ã—ãŸãƒ•ã‚¡ã‚¤ãƒ«åã«æ‹¡å¼µå .sci ã‚’ä»˜åŠ ã—ã¦å…¨ä½“を書ã出ã™ã€‚\\ +  末尾ã«ã‚³ãƒ¡ãƒ³ãƒˆã‚¢ã‚¦ãƒˆã—㟠quit() ã‚’ä»˜åŠ ã™ã‚‹ã€‚\\ +・WritetoSciã®å¼•æ•°ã«æ¬¡ã®æ•°ã‚’渡㙠\\ + \verb|WritetoSci(1)|: WritetoSci() ã¨åŒã˜\\ + \verb|WritetoSci(2)|: 全体を書ã出ã—,末尾㫠quit() ã‚’ä»˜åŠ ã™ã‚‹ã€‚\\ + \verb|WritetoSci(3)|: WritetoScibody() ã¨åŒã˜ã€‚body部分ã®ã¿ã‚’書ã出ã™ã€‚\\ +・ファイルåを引数ã¨ã™ã‚‹\\ +  引数ã®ãƒ•ã‚¡ã‚¤ãƒ«åã§æ›¸ã出ã™ã€‚ãŸã ã—,拡張å .sci ã‚’ã¤ã‘ã‚‹å¿…è¦ãŒã‚る。\\ +・引数を "sh" ã¨ã™ã‚‹\\ +  WritetoSci(2) ã¨åŒã˜ã€‚\\ +・\verb|WritetoSci(filename,"sh")|\\ +  引数ã®ãƒ•ã‚¡ã‚¤ãƒ«åã§shell(bat)コマンド用ã®ãƒ•ã‚¡ã‚¤ãƒ«ã‚’書ã出ã™ã€‚\\ +・\verb|WritetoSci(æ•°å— ,filename)| ã¯ä¸å¯ï¼ˆã‚¨ãƒ©ãƒ¼ã¨ãªã‚‹ï¼‰\\ +\\ + +\hypertarget{makeshell}{} +\item[関数] Makeshell(ファイルå) / Makebat(ファイルå) +\item[機能] Macã®å ´åˆã¯ã‚·ã‚§ãƒ«ãƒ•ã‚¡ã‚¤ãƒ«ï¼ŒWindowsã®å ´åˆã¯ãƒãƒƒãƒãƒ•ã‚¡ã‚¤ãƒ«ã‚’書ã出ã™ã€‚ +\item[説明] 書ã出ã•ã‚Œã‚‹ãƒ•ã‚¡ã‚¤ãƒ«ã¯æ¬¡ã®é€šã‚Šã€‚\\ +・書ã出ã•ã‚Œã‚‹å ´æ‰€ã¨ãƒ•ã‚¡ã‚¤ãƒ«åã¯ï¼Œ Shellparent / Batparent ã§æŒ‡å®šã—ãŸã‚‚ã®ã€‚\\ +・内容ã¯ï¼ŒShellchild / Batchild ã«ï¼Œåプãƒã‚»ã‚¹ã®å¼•æ•°ã¨ã—㦠Fhead ã¨å¼•æ•°ã®ãƒ•ã‚¡ã‚¤ãƒ«åã‚’ä»˜åŠ ã—ãŸã‚‚ã®ã€‚ãŸã¨ãˆã°ï¼ŒShellchild="sh ketcindy.sh" ã§ï¼ŒFhead="fig" , 引数㌠"fig2tex" ã§ã‚れ㰠+\begin{verbatim} +  #!/bin/sh +  cd /Users/Hoge/Desktop/KeTCindy +  sh ketcindy.sh fig fig2tex +  exit 0 +\end{verbatim} +ãŒæ›¸ã出ã•ã‚Œã‚‹ã€‚2行目ã®ãƒ‡ã‚£ãƒ¬ã‚¯ãƒˆãƒªï¼ˆãƒ•ã‚©ãƒ«ãƒ€ï¼‰åã¯ï¼ŒDirwork ã§æŒ‡å®šã—ãŸã‚‚ã®ã€‚\\ +ãŸã ã—,上記㮠fig 㯠fig.sci ã®ã“ã¨ã ãŒï¼Œfig.sci ã¯å‡ºåŠ›ã•ã‚Œãªã„ã®ã§ï¼Œåˆ¥é€” WritetoSci(2) ã§æ›¸ã出ã™å¿…è¦ãŒã‚る。\\ + \\ + +\hypertarget{textformat}{} +\item[関数] Textformat(数,æ¡æ•°) +\item[機能] å°æ•°ç‚¹ä»¥ä¸‹ã®æ¡æ•°ã‚’指定ã—ã¦æ•°ã‚’æ–‡å—列化ã™ã‚‹ã€‚ +\item[説明] Cindyscriptã®çµ„ã¿è¾¼ã¿é–¢æ•°ã«ã‚‚,format()ã¨ã„ã†åŒæ§˜ã®é–¢æ•°ãŒã‚ã‚‹ãŒï¼Œã“ã¡ã‚‰ã¯ï¼Œæ•°ã®ãƒªã‚¹ãƒˆã«ã‚‚対応ã™ã‚‹ã€‚\\ + +例:円周率をå°æ•°ç‚¹ä»¥ä¸‹ï¼•ä½ã¾ã§ã§æ–‡å—列化ã™ã‚‹ã€‚\\ + \\ +  \verb|Textformat(pi,5);|\\ + \\ +  戻り値ã¯ï¼Œ3.14159\\ + \\ +例:円周率ã¨ï¼Œãƒãƒ”ア数をリストã«ã—ã¦ï¼Œå…±ã«å°æ•°ç‚¹ä»¥ä¸‹ï¼•ä½ã¾ã§ã§æ–‡å—列化ã—ãŸãƒªã‚¹ãƒˆã‚’è¿”ã™ã€‚\\ + \\ +  \verb|Textformat([pi,exp(1)],5);|\\ + \\ +  戻り値ã¯ï¼Œ[3.14159,2.71828] \\ +  \\ + +\hypertarget{viewtex}{} +\item[関数] Viewtex() +\item[機能] \TeX ã®ã‚½ãƒ¼ã‚¹ãƒ•ã‚¡ã‚¤ãƒ«ã‚’書ã出ã™ã€‚引数ãªã—。 +\item[説明] グãƒãƒ¼ãƒãƒ«å¤‰æ•°Fheadã§å®šç¾©ã—ãŸãƒ•ã‚¡ã‚¤ãƒ«åã« "main" ã‚’ä»˜åŠ ã—ãŸ\TeX ã®ã‚½ãƒ¼ã‚¹ãƒ•ã‚¡ã‚¤ãƒ«ã¨ãƒãƒƒãƒãƒ•ã‚¡ã‚¤ãƒ«ï¼ˆMacã®å ´åˆã¯ã‚·ã‚§ãƒ«ãƒ•ã‚¡ã‚¤ãƒ«ï¼‰ã‚’作æˆã™ã‚‹ã€‚\\ +Fhead ã®ã»ã‹ï¼Œãƒ‡ã‚£ãƒ¬ã‚¯ãƒˆãƒªæŒ‡å®šãªã©ã®ãŸã‚,次ã®ã‚°ãƒãƒ¼ãƒãƒ«å¤‰æ•°ã«å¿…è¦äº‹é …ãŒä»£å…¥ã•ã‚Œã¦ã„ã‚‹ã“ã¨ãŒæ¡ä»¶ã§ã‚る。\\ + \\ +  Dirwork=作æ¥ãƒ•ã‚©ãƒ«ãƒ€ã®ãƒ‘ス\\ +  Shellparent=親プãƒã‚»ã‚¹ (kc.sh / kc.bat )ã‚’ç½®ãディレクトリã®ãƒ‘ス\\ +  Shellchild=åプãƒã‚»ã‚¹å\\ +  Libname=Scilabã®ãƒ©ã‚¤ãƒ–ラリ ketpicsciL5 ã¸ã®ãƒ‘ス\\ + \\ +ãŸã¨ãˆã°ï¼ŒFhead="fig" ã¨ã™ã‚‹ã¨\\ +・図を表示ã™ã‚‹ fig.sci ã‚’ Dirwork ã§æŒ‡å®šã—ãŸãƒ•ã‚©ãƒ«ãƒ€ã«ã‚’生æˆã™ã‚‹ã€‚(ã™ã§ã«ã‚ã‚‹å ´åˆã¯ä¸Šæ›¸ã)\\ +・Dirwork ã§æŒ‡å®šã—ãŸãƒ•ã‚©ãƒ«ãƒ€ã« figmain.tex を生æˆã™ã‚‹ã€‚(ã™ã§ã«ã‚ã‚‹å ´åˆã¯ä¸Šæ›¸ã)\\ + figmain.tex 㯠\TeX ã®ãƒ—リアンブル㨠\verb|begin{document}| ã‚’è¨å®šã—ãŸã‚½ãƒ¼ã‚¹ãƒ•ã‚¡ã‚¤ãƒ«ã§ï¼Œä¸ã«ã¯ \verb|input{"fig.tex"}| ãŒæ›¸ã‹ã‚Œã¦ãŠã‚Šï¼Œã“れをコンパイルã™ã‚Œã°ä½œæˆã—ãŸå›³ã‚’表示ã™ã‚‹ã“ã¨ãŒã§ãる。\\ +・親プãƒã‚»ã‚¹ã®ç”Ÿæˆï¼ˆã™ã§ã«ã‚ã‚‹å ´åˆã¯ä¸Šæ›¸ã)\\ + ketcindy.sh (Mac) ketcindy.bat(Windows) ã‚’åプãƒã‚»ã‚¹ã¨ã—㦠figmain.tex 㨠fig.tex を引数ã¨ã—ã¦å®Ÿè¡Œã™ã‚‹ãƒ—ãƒã‚»ã‚¹ kc.sh(Mac) kc.bat (Windows) を作æ¥ãƒ‡ã‚£ãƒ¬ã‚¯ãƒˆãƒªã«ç”Ÿæˆã™ã‚‹ã€‚ã“れを実行ã™ã‚‹ã¨å›³ã‚’表示ã™ã‚‹PDFファイルãŒä½œã‚‰ã‚Œã‚‹ã€‚\\ + 以上ã®æ‰‹ç¶šãã«ã‚ˆã‚Šï¼ŒViewtex() を実行ã™ã‚Œã°ï¼Œãƒ‡ã‚¹ã‚¯ãƒˆãƒƒãƒ—上ã«ç”Ÿæˆã•ã‚ŒãŸ kc.sh / kc.bat を使ã£ã¦ï¼Œfig.sci ã®ç”Ÿæˆã‹ã‚‰ï¼Œfig.tex ã®ä½œæˆï¼Œ\TeX ã®ã‚³ãƒ³ãƒ‘イルã¾ã§ã®ä¸€é€£ã®æ“作を自動実行ã—ã¦ï¼Œå›³ã‚’表示ã™ã‚‹ã“ã¨ãŒã§ãã‚‹ã“ã¨ã«ãªã‚‹ã€‚kc.sh / kc.bat ã®å®Ÿè¡Œã¯ï¼Œkc() ã§è¡Œã†ã“ã¨ãŒã§ãる。\\ + \\ + + \hypertarget{workprocess}{} +\item[関数] Workprocess() +\item[機能] 作図ã®çµŒéŽã‚’å–å¾—ã™ã‚‹ +\item[説明] 作図ツールを用ã„ãŸä½œå›³ã®çµŒéŽã‚’å–å¾—ã™ã‚‹ã€‚\\ + \verb|println(Workproccess());|\\ + ã¨ã™ã‚‹ã¨ï¼Œã‚³ãƒ³ã‚½ãƒ¼ãƒ«ã«ä½œå›³æ‰‹é †ãŒè¡¨ç¤ºã•ã‚Œã‚‹ã€‚\\ + +\end{description} + +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} +\newpage + +%=================================================== +\subsection{ãã®ä»–} +\begin{description} + +\hypertarget{assign}{} +\item[関数] Assign(æ–‡å—列,文å—,文å—) +\item[機能] 文å—列ã®ä¸ã®ã‚ã‚‹æ–‡å—ã‚’ä»–ã®æ–‡å—ã§ç½®ãæ›ãˆã‚‹ +\item[説明] 第1引数ã®æ–‡å—列ä¸ã®ç¬¬ï¼’引数ã®æ–‡å—を,第3引数ã®æ–‡å—ã§ç½®ãæ›ãˆã‚‹ã€‚\\ + 第3引数ãŒæ•°å€¤ã®å ´åˆï¼Œæ–‡å—列ã«å¤‰æ›ã•ã‚Œã‚‹ã€‚\\ + 第2引数ã¨ï¼Œç¬¬ï¼“引数をリストã«ã—ã¦ï¼Œè¤‡æ•°ã®ç½®ãæ›ãˆã‚’ã™ã‚‹ã“ã¨ãŒã§ãる。\\ + \\ + 例:a*x ã‚’1.3*x ã¨ã—ãŸæ–‡å—列を返ã™ã€‚次ã®ã„ãšã‚Œã‚‚åŒã˜çµæžœã«ãªã‚‹ã€‚ +\begin{verbatim} +   Assign("x^2+a*x","a","1.3"); +   Assign("x^2+a*x","a",1.3); +\end{verbatim} + \\ + 例:直線 $y=bx-b^2$ ã®ä¿‚æ•°$b$を変化ã•ã›ã¦æã,包絡線をã†ã‹ã³ã‚ãŒã‚‰ã›ã‚‹ã€‚ +\begin{verbatim} +    repeat(50,t, +      cb=t/5-5; +      Plotdata(text(t),Assign("b*x-b^2","b",cb),"x"); +    ); +\end{verbatim} +  \\ +     \input{Fig/assign}\\ + \\ + 例:文å—ã§è¡¨ã•ã‚ŒãŸ $x$ 㨠$y$ ã®ä¿‚æ•°ã‚’ã¾ã¨ã‚ã¦æ•°å€¤ã§ç½®ãæ›ãˆã‚‹ã€‚\\ +   \verb|Assign("a*x^2+b*x",["a",1,"b",2]);|\\ + \\ +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} + +\hypertarget{bbdata}{} +\item[関数] BBdata(ファイルå,option) +\item[機能] 画åƒãƒ•ã‚¡ã‚¤ãƒ«ã®ã‚µã‚¤ã‚ºã‚’求ã‚ã‚‹ +\item[説明] TeX文書ã«ãŠã„ã¦ï¼Œinputgraphics コマンドã§ç”»åƒã‚’貼り込むã¨ãã®BBサイズを求ã‚る。\\ + TeX処ç†ç³»ã® extractbb を用ã„ã¦ç”»åƒãƒ•ã‚¡ã‚¤ãƒ«ã‹ã‚‰BBデータを作り,テã‚ストファイルã¨ã—ã¦ä½œæ¥ãƒ‡ã‚£ãƒ¬ã‚¯ãƒˆãƒªã«æ›¸ã出ã™ã€‚ã“れをèªã‚“ã§ï¼Œã‚³ãƒ³ã‚½ãƒ¼ãƒ«ã« ingludegarphics ã®ã‚³ãƒžãƒ³ãƒ‰ã‚’書ã出ã™ã€‚\\ + optionã¯ï¼Œå¹…ã¾ãŸã¯é«˜ã•ã®æŒ‡å®šã€‚\\ + "w=40mm" 㧠width=40mm ãŒï¼Œ"h=40mm" 㧠height=40mm ãŒä»˜åŠ ã•ã‚Œã‚‹ã€‚\\ + \\ +例:pic.pdf ã®ã‚µã‚¤ã‚ºã‚’求ã‚る。\\ +  \verb|BBdata("pic.pdf")|\\ + を実行ã™ã‚‹ã¨ï¼Œã‚³ãƒ³ã‚½ãƒ¼ãƒ«ã« ingludegarphics ã®ã‚³ãƒžãƒ³ãƒ‰æ–‡\\ +   \verb|\includegraphics[bb=・・・・]{pic.pdf} |\\ + ãŒè¡¨ç¤ºã•ã‚Œã‚‹ã€‚ã“れをãã®ã¾ã¾ã‚³ãƒ”ーã™ã‚Œã°ã‚ˆã„。\\ + ãªãŠï¼Œbbã®å€¤ã¯æ•´æ•°å€¤ã§ã¯ãªã,高精細ã®å€¤ã‚’å°æ•°ç‚¹ä»¥ä¸‹2æ¡ã«å››æ¨äº”å…¥ã—ã¦ç¤ºã•ã‚Œã‚‹ã€‚\\ + 画åƒãƒ•ã‚¡ã‚¤ãƒ«ã¯ï¼ŒPDFã«é™ã‚‰ãšï¼ŒPNG,JPGãªã©ã§ã‚‚よã„。\\ + \\ +例:\verb|BBdata("fig.jpg",["h=40mm"]);|\\ +  ã§\\ +  \verb|\includegraphics[bb=0.00 0.00 578.16 592.56,height=40mm]{fig.jpg} |\\ +  ãŒè¡¨ç¤ºã•ã‚Œã‚‹ã€‚\\ + \\ + +\hypertarget{changework}{} +\item[関数] Changework(パスå) +\item[機能] 作æ¥ãƒ‡ã‚£ãƒ¬ã‚¯ãƒˆãƒªã‚’指定(変更)ã™ã‚‹ +\item[説明] 作æ¥ãƒ‡ã‚£ãƒ¬ã‚¯ãƒˆãƒªã¯ï¼ŒInitializationスãƒãƒƒãƒˆã®KETlibページ㫠Dirwork= ã§æŒ‡å®šã•ã‚Œã¦ã„ã‚‹ãŒï¼Œã“れを変更ã™ã‚‹ã€‚Drawスãƒãƒƒãƒˆã®ï¼ŒKetinit() ã®å‰ã«è¨˜è¿°ã™ã‚‹ã“ã¨ã«ã‚ˆã‚Šï¼ŒKetlibページã®è¨˜è¿°ã‚’変更ã—ãªãã¦ã™ã‚€ã€‚\\ + ã“ã‚Œã«ã‚ˆã‚Šï¼Œä½œæˆã—ãŸãƒ•ã‚¡ã‚¤ãƒ«ã‚’ä»–ã®äººã¨ã‚„ã‚Šå–ã‚Šã—ã‚„ã™ããªã‚‹ã€‚\\ + +\hypertarget{com0th}{} +\item[関数] Com0th(æ–‡å—列) +\item[機能] Scilabã®Openfileã®å‰ã«ç½®ãコマンド(文å—列)を定義ã™ã‚‹ã€‚ +\item[説明] 例:\verb|Com0th("Setax('a')");|\\ + Openfileã®å‰ã®éƒ¨åˆ†ã®å…ˆé ã«æ›¸ã出ã™ã€‚ã“ã‚Œã«ã‚ˆã‚Šï¼Œ \ketcindy ã§ã‚µãƒãƒ¼ãƒˆã•ã‚Œã¦ã„ãªã„Scilab版\ketpic ã®ã‚³ãƒžãƒ³ãƒ‰ã‚’利用ã™ã‚‹ã“ã¨ãŒã§ãる。\\ + \\ +\hypertarget{com1st}{} +\item[関数] Com1st(æ–‡å—列) +\item[機能] Scilabã®Openfileã®å‰ã«ç½®ãコマンド(文å—列)を定義ã™ã‚‹ã€‚ +\item[説明] 例:\verb|Com1st("Setax('a')");|\\ + ã“ã‚Œã«ã‚ˆã‚Šï¼Œ \ketcindy ã§ã‚µãƒãƒ¼ãƒˆã•ã‚Œã¦ã„ãªã„Scilab版\ketpic ã®ã‚³ãƒžãƒ³ãƒ‰ã‚’利用ã™ã‚‹ã“ã¨ãŒã§ãる。 +\\ +\hypertarget{com2nd}{} +\item[関数] Com2nd(æ–‡å—列) +\item[機能] Scilabã®Openfileã®ã‚ã¨ã«ç½®ãコマンド(文å—列)を定義ã™ã‚‹ã€‚ +\\ + +\hypertarget{com2ndpre}{} +\item[関数] Com2ndpre(æ–‡å—列) +\item[機能] Scilabã®Openfileã®ã‚ã¨ã«ç½®ãコマンド(文å—列)を定義ã™ã‚‹ã€‚ + Openfileã®ç›´å¾Œï¼ˆã‚°ãƒ«ãƒ¼ãƒ—ã®å…ˆé ã«ï¼‰æ›¸ã出ã™ã€‚\\ + +\hypertarget{figpdf}{} +\item[関数] Figpdf(option) +\item[機能]ã€€å‡ºåŠ›æž ã‚µã‚¤ã‚ºã®PDFを作る。 +\item[説明] KeTCindyã§ã¯ï¼Œé€šå¸¸ï¼Œå‡ºåŠ›ã•ã‚ŒãŸ fig.tex ファイルを閲覧ã™ã‚‹PDFã‚’A4サイズã§ä½œæˆã™ã‚‹ã€‚ã“ã‚Œã«å¯¾ã—,Figpdf()を実行ã™ã‚‹ã¨ï¼Œå‡ºåŠ›ã‚µã‚¤ã‚ºã®PDFを作æˆã™ã‚‹ã€‚閲覧用ã ã‘ã§ã¯ãªãワープãƒãªã©ã«ã«è²¼ã‚Šè¾¼ã‚€ã¨ãã«ãã®ã¾ã¾ä½¿ç”¨ã§ãã‚‹ã®ã§ä¾¿åˆ©ã§ã‚る。ãŸã ã—,ãã®ãŸã‚ã®è¦ªåプãƒã‚»ã‚¹ã‚’生æˆã—ã¦å®Ÿè¡Œã™ã‚‹ãŸã‚,次ã®æ‰‹ç¶šã(1)(2)ãŒå¿…è¦ã¨ãªã‚‹ã€‚\\ +(1) 変数 Texparent をè¨å®šã™ã‚‹ã€‚\\ + ã“ã‚Œã¯ï¼Œå‡ºåŠ›ã™ã‚‹PDFã®ãƒ•ã‚¡ã‚¤ãƒ«åã®æŒ‡å®šã§ã‚る。ãŸã¨ãˆã°ï¼Œ +\begin{verbatim} +  Fhead="fig"; +  Texparent="pic"; +\end{verbatim} + ã¨ã™ã‚‹ã¨ï¼Œfig.tex を表示ã—㟠pic.pdf ãŒä½œæˆã•ã‚Œã‚‹ã€‚pic.pdf ãŒç›®çš„ã®PDF。\\ + Texparent 㯠Fhead ã¨ã¯ç•°ãªã‚‹ã‚‚ã®ã«ã™ã‚‹ã€‚\\ +(2) 出力ã¯ï¼Œã€ŒParentã€ã€ŒExekcã€ã®é †ã«ãƒœã‚¿ãƒ³ã‚’押ã™ã€‚「Texviewã€ã¯æŠ¼ã•ãªã„。\\ + ãªãŠï¼Œã“れらã®ãƒœã‚¿ãƒ³ã‚’使ã‚ãšã«ã‚¹ã‚¯ãƒªãƒ—トã§å®Ÿè¡Œã™ã‚‹ã‹ï¼Œã‚ªãƒªã‚¸ãƒŠãƒ«ã®ãƒœã‚¿ãƒ³ã‚’ä½œã‚‹å ´åˆã¯ï¼Œæ¬¡ã®ã‚³ãƒžãƒ³ãƒ‰ã‚’実行ã™ã‚‹ã€‚ +\begin{verbatim} +   Writetosci(2); +   Makeshell(); +   kc(); +\end{verbatim} + Writetosci(2); 㨠Makeshell(); 㧠fig.sce ã¨pic.tex ãŒä½œæˆã•ã‚Œã‚‹ã€‚\\ + Windowsã®å ´åˆã¯ Makebat(); ã¨ã™ã‚‹ã€‚\\  + \verb|kc();| ã«ã‚ˆã‚Š kc.sh ãŒå®Ÿè¡Œã•ã‚Œï¼ŒScilab㧠fig.sceã‹ã‚‰fig.tex を作るã¨ã“ã‚ã‹ã‚‰PDF作æˆã¾ã§ã®ä¸€é€£ã®ä½œæ¥ãŒè¡Œã‚れる。\\ + \\ +optionã¯ï¼Œãƒžãƒ¼ã‚¸ãƒ³ï¼ˆä½™ç™½ï¼‰ã¨å¹³è¡Œç§»å‹•é‡ã€‚指定ã—ãªã„å ´åˆã¯ãƒ‡ãƒ•ã‚©ãƒ«ãƒˆå€¤ã€‚\\ +引数ãŒï¼‘ã¤ã®å®Ÿæ•°ã®å ´åˆã¯ï¼Œå·¦å³ä¸Šä¸‹åŒä¸€ã®æŒ‡å®šã—ãŸä½™ç™½ã¨ãªã‚‹ã€‚\\ +引数ãŒï¼”ã¤ã®æ•°ã‚’コンマã§åŒºåˆ‡ã£ãŸæ–‡å—列をè¦ç´ ã¨ã™ã‚‹ãƒªã‚¹ãƒˆã®å ´åˆï¼Œå·¦å³ä¸Šä¸‹ã®ä½™ç™½æŒ‡å®šã¨ãªã‚‹ã€‚\\ +引数ãŒï¼’ã¤ã®æ•°ã‚’コンマã§åŒºåˆ‡ã£ãŸæ–‡å—列をè¦ç´ ã¨ã™ã‚‹ãƒªã‚¹ãƒˆã®å ´åˆï¼Œå³ï¼Œä¸‹æ–¹å‘ã¸ã®å¹³è¡Œç§»å‹•æŒ‡å®šã¨ãªã‚‹ã€‚\\ +余白指定ã¨å¹³è¡Œç§»å‹•æŒ‡å®šã¯åŒæ™‚ã«è¡Œã†ã“ã¨ãŒã§ãる。\\ +例: \verb|Figpdf(10);|        上下左å³10mmã®ä½™ç™½\\ +  \verb|Figpdf(["5,5,10,10"]);|    左å³ã«5mm,上下10mmã®ä½™ç™½\\ +  \verb|Figpdf(["5,10"]);|      å³ã«5mm,下ã«10mm平行移動ã—ã¦è¡¨ç¤º\\ +  \verb|Figpdf(["5,8,10,10","5,-5"]);| 左5mm,å³8mm,上下10mmã®ä½™ç™½ï¼Œ\\ +                  å³ã«5mm,上ã«5mm平行移動ã—ã¦è¡¨ç¤º\\ +ãªãŠï¼Œåº§æ¨™è»¸ã‚’表示ã™ã‚‹å ´åˆï¼Œå³å´ã¯æœ€ä½Ž3mmã®ä½™ç™½ã‚’è¨å®šã—ãªã„ã¨è»¸ã®æ–‡å—ãŒå…¥ã‚‰ãªã„。\\ + +\hypertarget{texcom}{} +\item[関数] Texcom(\TeX コード) +\item[機能] \TeX ã®ã‚³ãƒ¼ãƒ‰ã‚’書ã出㙠+\item[説明] 任æ„ã®\TeX ã®ã‚³ãƒ¼ãƒ‰ã‚’書ã出ã™\\ + Scilabã®TeXcomã«ãã®ã¾ã¾å¼•ã渡ã—ã¦ã„ã‚‹ã ã‘。\\ + +\hypertarget{windispg}{} +\item[関数] Windispg() ã¾ãŸã¯ã€€Windisp(データã®ãƒªã‚¹ãƒˆï¼‰ +\item[機能] 定義ã•ã‚Œã¦ã„るプãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã‚’Cinderellaç”»é¢ã«é»’ç·šã§æã +\item[説明] Windispg()ã¯ï¼Œã‚¹ã‚¯ãƒªãƒ—トã®æœ€å¾Œã«ç½®ãã“ã¨ã§ï¼Œå‡ºåŠ›ã•ã‚Œã‚‹éƒ¨åˆ†ã ã‘ãŒé»’ã§æã‹ã‚Œã‚‹ã®ã§ï¼Œå‡ºåŠ›å›³ã‚’確èªã™ã‚‹ã“ã¨ãŒã§ãる。ãŸã ã—,Letter()関数ã§è¡¨ç¤ºã—ãŸç‚¹ã®å称ãªã©ãŒCinderellaã§ä½œå›³ã—ãŸãƒ©ãƒ™ãƒ«ã¨é‡ãªã£ã¦è¡¨ç¤ºã•ã‚Œã¦è¦‹ã«ãããªã‚‹ã“ã¨ã‚‚ã‚る。ã“ã®é–¢æ•°ã‚’実行ã—ãªãã¦ã‚‚出力ã«ã¯å½±éŸ¿ã—ãªã„。\\ + Windisp(データã®ãƒªã‚¹ãƒˆï¼‰ã¯ï¼ŒScilabã‹ã‚‰ \ketcindy 用ã«å‡ºåŠ›ã•ã‚ŒãŸãƒ•ã‚¡ã‚¤ãƒ«ã‚’ ReadOutData()関数ã§èªã¿è¾¼ã‚“ã ã¨ãã«ï¼Œå¿…è¦ãªãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿åˆ—ã ã‘を表示ã™ã‚‹ã®ã«ç”¨ã„る。\\ + ReadOutData("filename.txt") ã§ãƒ‡ãƒ¼ã‚¿ã‚’èªã¿è¾¼ã‚€ã¨ï¼Œãã®ãƒ‡ãƒ¼ã‚¿ã«å«ã¾ã‚Œã‚‹ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿åˆ—ãŒï¼Œã‚³ãƒ³ã‚½ãƒ¼ãƒ«ã«\\ +Outdata of filename.txt : [Gfn,Gdfn,Gh] \\ +ã®ã‚ˆã†ã«è¡¨ç¤ºã•ã‚Œã‚‹ã€‚\\ +ã“ã®ã†ã¡ï¼ŒGfnã¨Ghã ã‘を表示ã™ã‚‹ã®ã§ã‚ã‚Œã°\\ +Windispg([Gfn,Gh]);\\ + ã¨ã™ã‚‹ã€‚引数ãªã—ã§\\ +Windispg();\\ +ã¨ã™ã‚Œã°ã™ã¹ã¦ã®ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿åˆ—ãŒè¡¨ç¤ºã•ã‚Œã‚‹ã€‚\\ +ãªãŠï¼Œã„ãšã‚Œã®å ´åˆã‚‚,作図ã—ãŸãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã‚‚åŒæ™‚ã«è¡¨ç¤ºã•ã‚Œã‚‹ã€‚\\ + 作図ã—ãŸå›³ã‚’å…¨ã¦ã§ã¯ãªãé¸æŠžã—ã¦è¡¨ç¤ºã™ã‚‹å ´åˆã¯ï¼Œãれらã®ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿åをリストã«ã—ã¦å¼•æ•°ã¨ã™ã‚‹ã€‚\\ + ãŸã¨ãˆã°ï¼Œsg1, gr1, crABãŒå®šç¾©ã•ã‚Œã¦ã„ã‚‹ã¨ã,\\ +    \verb|Windispg(["sg1","gr1"]);| +ã¨ã™ã‚Œã°ï¼Œsg1,gr1ã®ã¿ãŒè¡¨ç¤ºã•ã‚Œã‚‹ã€‚ + 次ã®ï¼“ã¤ã®é–¢æ•°ã¯ï¼Œãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã®æ“作ã§ï¼Œå˜ç‹¬ã§ç”¨ã„ã‚‹ã“ã¨ã‚‚ã§ãã‚‹ãŒï¼Œæ画関数,プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã®æ“作関数ã®ã‚ªãƒ—ションã«çµ„ã¿è¾¼ã¾ã‚Œã¦ã„ã‚‹ã®ã§ï¼Œç‰¹æ®Šãªå ´åˆã‚’除ã„ã¦ã¯ã»ã¨ã‚“ã©åˆ©ç”¨ã—ãªã„ã¨æ€ã‚れる。\\ + +\hypertarget{drwline}{} +\item[関数] Drwline(プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ï¼‰ +\item[機能] プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ï¼ˆæ–‡å—列)を実線ã§æã +\item[説明] Scilabã®Drwlineを書ã出ã™\\ + 例:\verb|Drwline("sABCA,1");|\\ +\\ + +\hypertarget{dashline}{} +\item[関数] Dashline(プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ï¼‰ +\item[機能] プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ï¼ˆæ–‡å—åˆ—ï¼‰ã‚’ç ´ç·šã§æã +\item[説明] Scilabã®Dashlineを書ã出ã™\\ + 例:\verb|Dashline("sABCA");|\\ +\\ +\hypertarget{dottedline}{} +\item[関数] Dottedline(プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ï¼‰ +\item[機能] プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ï¼ˆæ–‡å—列)を点線ã§æã +\item[説明] Scilabã®Dottedlineを書ã出ã™\\ + 例:\verb|Dottedline("sABCA");|\\ + +\hypertarget{helplist}{} +\item[関数] helplist() +\item[機能] ヘルプデータを作æˆã™ã‚‹ +\item[説明] 関数ã®ç°¡å˜ãªèª¬æ˜Žãƒ‡ãƒ¼ã‚¿ã‚’作æˆã™ã‚‹ã€‚\\ + ã“ã®é–¢æ•°ã¯ï¼ŒInitialization スãƒãƒƒãƒˆã«æ›¸ã。\\ + \\ + +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} +\hypertarget{help}{} +\item[関数] Help(æ–‡å—列) +\item[機能] 関数ã®ä½¿ç”¨ä¾‹ã‚’å–å¾—ã™ã‚‹ +\item[説明] 文å—列ã§å§‹ã¾ã‚‹é–¢æ•°ã®ä½¿ç”¨ä¾‹ã‚’コンソールã«è¡¨ç¤ºã™ã‚‹ã€‚\\ +  \verb|println(Help("C"));|\\ + ã®ã‚ˆã†ã«ã™ã‚‹ã¨ï¼Œã‚³ãƒ³ã‚½ãƒ¼ãƒ«ã«ï¼Œæ¬¡ã®ã‚ˆã†ã«ã€ŒCã€ã§å§‹ã¾ã‚‹é–¢æ•°ã®ä½¿ç”¨ä¾‹ãŒè¡¨ç¤ºã•ã‚Œã‚‹ã€‚ +\begin{verbatim} +  CRspline("1",[A,B,C,A]); +  ChangeTablestyle(["r0c0c3"],["da"]);\ +  Changestyle("sgAB",["da"]); +  Changstyle("geoseg3","ax3d"],["notex"]);\ +  Circledata([A,B,C]); +  Circledata([A,B],["Rng=[0,pi/2]"]);\ +  Com2nd("\color[cmyk]{0,0,0,0.5}");\ +  Crossprod(vec1,vec2); \\ +\end{verbatim} + + ã•ã‚‰ã«ï¼Œ\\ +  \verb|println(Help("Ci"));| ã¨ã™ã‚‹ã¨ +\begin{verbatim} +  Circledata([A,B,C]); +  Circledata([A,B],["Rng=[0,pi/2]"]); +\end{verbatim} + ã ã‘ãŒè¡¨ç¤ºã•ã‚Œã‚‹ã€‚\\ +  \verb|println(Help("*"));| +  ã¨ã™ã‚‹ã¨ï¼Œã™ã¹ã¦ã®é–¢æ•°ã®ä½¿ç”¨ä¾‹ãŒè¡¨ç¤ºã•ã‚Œã‚‹ã€‚\\ + 引数ãŒãªã„å ´åˆã¯ï¼Œ\verb|Helplist(Dirlib,["+","+3d"],"helpJâ€);| ã¨ã¿ãªã•ã‚Œã‚‹ã€‚+ã¯ketcindylibã®æ„味。\\ +\\ + +\hypertarget{helpkey}{} +\item[関数] Helpkey(æ–‡å—列) +\item[機能] 関数ã®ä½¿ç”¨ä¾‹ã‚’ã‚ーワードã§æ¤œç´¢ã™ã‚‹ +\item[説明] 文å—列ã«ä¸ŽãˆãŸã‚ーワードã§é–¢æ•°ã®ä½¿ç”¨ä¾‹ã‚’検索ã—,コンソールã«è¡¨ç¤ºã™ã‚‹ã€‚\\ + 例:\verb|Helpkey("ç›´ç·š");| ã¨ã™ã‚‹ã¨ï¼Œã‚³ãƒ³ã‚½ãƒ¼ãƒ«ã«æ¬¡ã®ã‚ˆã†ã«è¡¨ç¤ºã•ã‚Œã‚‹ã€‚ +\begin{verbatim} +   IntersectsgpL("",[p1,p2],[p3,p4,p5],"draw"); +   IntersectsgpL("R","P-Q","A-B-C"); +   IntersectsgpL("R","P-Q","A-B-C","put"); +    空間ã®ç›´ç·šã¨å¹³é¢ã®äº¤ç‚¹ +   Lineplot("1",[[2,1],[3,3]]); +   Lineplot([A,B]); + ã€€ã€€ã€€ç›´ç·šãƒ‡ãƒ¼ã‚¿ã‚’ä½œæˆ +   PtonLine("C",pA,pB); +    直線上ã«ç‚¹ã‚’ã¨ã‚‹ +\end{verbatim} + \\ +\hypertarget{indexall}{} +\item[関数] Indexall(str1,str2); +\item[機能] 文å—列 str1 ã‹ã‚‰ str2 を検索ã—ãã®ä½ç½®ã‚’ã™ã¹ã¦è¿”ã™ +\item[説明] Cindyscriptã® indexof() ã®æ‹¡å¼µç‰ˆã€‚indexof() ãŒæœ€åˆã«è¦‹ã¤ã‹ã£ãŸä½ç½®ã‚’è¿”ã™ã®ã«å¯¾ã—,Indexall()ã¯å˜åœ¨ã™ã‚‹ä½ç½®ã‚’ã™ã¹ã¦ãƒªã‚¹ãƒˆã«ã—ã¦è¿”ã™ã€‚\\ + \\ +例:str="abcabcabc" ã‹ã‚‰ "b"を検索ã™ã‚‹ã€‚\\ +  \verb|indexof(str,"b")| ã§ã¯ï¼Œ2 ãŒè¿”る。\\ +  \verb|Indexall(str,"b")| ã§ã¯ï¼Œ[2,5,8]ãŒè¿”る。\\ + \\ + +\hypertarget{ketcindylogo}{} +\item[関数] Ketcindylogo() +\item[機能] \ketcindy ã®ãƒã‚´ã‚’書ã出㙠+\item[説明] \ketcindy ã®ãƒã‚´ã‚’表示ã™ã‚‹\TeX ã®ã‚³ãƒžãƒ³ãƒ‰è¡Œã‚’書ã出ã™ã€‚\\ + 内容ã¯\\ +\verb|\|def\verb|\|ketcindy\{\{K\verb|\|kern-.20em \verb|\|lower.5ex\verb|\|hbox\{E\}\verb|\|kern-.125em\{TCindy\}\}\}" + \\ +\hypertarget{op}{} +\item[関数] Op(n,list or str) +\item[機能] リストã¾ãŸã¯æ–‡å—列ã‹ã‚‰è¦ç´ を抜ã出㙠+\item[説明] 第2引数ã®ãƒªã‚¹ãƒˆã¾ãŸã¯æ–‡å—列ã®n番目ã®è¦ç´ (文å—)を返ã™ã€‚\\ +Cindyscript㮠アンダーãƒãƒ¼ã®æ¼”ç®—å (list\_n , str\_n) ã¨åŒæ§˜ã€‚Silabã¨ã®æ•´åˆæ€§ã®ãŸã‚è¿½åŠ \\ + \\ +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} +\newpage + +\end{description} +\newpage + +%第11節 ä»–ã®æ•°å¼å‡¦ç†ã‚½ãƒ•ãƒˆã¨ã®é€£æºã€€============================= +\section{ä»–ã®æ•°å¼å‡¦ç†ã‚½ãƒ•ãƒˆãªã©ã¨ã®é€£æº} +\subsection{Rã¨ã®é€£æº} +Rã¯ä¸»ã«çµ±è¨ˆè§£æžã®ãŸã‚ã®ã‚½ãƒ•ãƒˆã‚¦ã‚§ã‚¢ã§ï¼Œã€€binormï¼ˆäºŒé …åˆ†å¸ƒï¼‰ï¼Œpois(ãƒã‚¢ã‚½ãƒ³ï¼‰ï¼Œunif(一様分布),chisq(カイ2乗),f(F分布),t(t分布)ãªã©ï¼Œå¤šãã®ç¢ºçŽ‡åˆ†å¸ƒã‚’サãƒãƒ¼ãƒˆã—ã¦ã„る。\\ +æ£è¦åˆ†å¸ƒï¼ˆnormal distribution)ã§ã¯\\ + dnorm 確率密度関数\\ + pnorm 分布関数\\ + qnorm 分布関数ã®é€†é–¢æ•°\\ + rnorm 乱数発生\\ +ã¨ã„ã†ã‚ˆã†ã«ï¼Œåˆ†å¸ƒåã®é ã«d, p, q, r ã‚’ã¤ã‘ã‚‹ã¨ä¸Šè¨˜ï¼”ã¤ã®é–¢æ•°ãŒå¾—られる。\\ + å„分布ã«ã¯ï¼Œè‡ªç”±åº¦ãªã©ã®å¼•æ•°ãŒã‚り,ãŸã¨ãˆã°ï¼Œå¹³å‡m, 標準åå·®sã®æ£è¦åˆ†å¸ƒï¼ˆã®å¯†åº¦é–¢æ•°ï¼‰ã¯ã€€ã€€dnorm(x, m ,s ) ã¨ãªã‚‹ã€‚\\ + \\ + KeTCindyã§ã¯ï¼Œkc.bat/shã«ã‚ˆã£ã¦ã‚³ãƒžãƒ³ãƒ‰ã‚’Rã«æ¸¡ã—,çµæžœã‚’テã‚ストファイルã§å—ã‘å–る。ã“ã®ã¨ã,Rã¨ã®ã‚„ã‚Šã¨ã‚Šã§ï¼Œæ¬¡ã®ã‚ˆã†ãªãƒ•ã‚¡ã‚¤ãƒ«ãŒä½œæ¥ãƒ‡ã‚£ãƒ¬ã‚¯ãƒˆãƒªã«ä½œæˆã•ã‚Œã‚‹ã€‚\\ +æ‹¡å¼µå r :r用ã®ãƒ•ã‚¡ã‚¤ãƒ«\\ +æ‹¡å¼µå dat,拡張å txt:データファイル\\ +ã“ã®ãƒ‡ãƒ¼ã‚¿ã®ã‚„ã‚Šå–ã‚Šã«é–¢ã™ã‚‹æ¬¡ã®ã‚ªãƒ—ションãŒã‚る。\\ + オプションãªã—ã¾ãŸã¯ï¼Œâ€â€ ã®ã¨ã\\ +  i) データファイルãŒãªã‘ã‚Œã°ï¼Œæ–°ã—ã作る\\ +  ii) データファイルãŒæ—¢ã«ã‚ã‚Œã°ãれをèªã¿è¾¼ã‚€\\ + "m" ã®ã¨ã,強制的ã«ãƒ‡ãƒ¼ã‚¿ãƒ•ã‚¡ã‚¤ãƒ«ã‚’作り直ã™ã€‚\\ + "r" ã®ã¨ã,ã™ã§ã«ã‚るデータファイルをèªã¿è¾¼ã‚€ã€‚\\ + ã“ã®ã¨ã,ファイルã®èªã¿æ›¸ãã§ä¸å…·åˆãŒã‚ã‚‹ã¨ï¼Œæ•°ç§’ã®å¾Œã€Œ==$>$ file.txt not generated (5 s ) ã€ã®ã‚ˆã†ãªã‚¨ãƒ©ãƒ¼ãƒ¡ãƒƒã‚»ãƒ¼ã‚¸ãŒã‚³ãƒ³ã‚½ãƒ¼ãƒ«ã«è¡¨ç¤ºã•ã‚Œã‚‹ã€‚ã“ã®ã‚ˆã†ãªå ´åˆã¯ä½œæ¥ãƒ‡ã‚£ãƒ¬ã‚¯ãƒˆãƒªã®è¨å®šãªã©ã‚’確èªã—ã¦ã„ãŸã ããŸã„。ã“ã®å¾…ã¡æ™‚é–“ã«ã¤ã„ã¦ã¯ï¼ŒWaitオプションã§è¨å®šã™ã‚‹ã“ã¨ã‚‚ã§ãる。\\ + \\ + +\begin{description} +\hypertarget{boxplot}{} +\item[関数] Boxplot(åå‰,データ,åž‚ç›´ä½ç½®,高ã•,option) +\item[機能] 箱ã²ã’図をæã +\item[説明] データã¯ï¼Œç›´æŽ¥çš„ã«å¤‰æ•°ã§æ¸¡ã™å ´åˆã¨ãƒ•ã‚¡ã‚¤ãƒ«ã‹ã‚‰èªã¿è¾¼ã‚€å ´åˆãŒã‚る。\\ +例:乱数ã§ä½œæˆã—ãŸï¼•æœªæº€ã®å®Ÿæ•°ã®ãƒ‡ãƒ¼ã‚¿ã‚’ç®±ã²ã’図ã«ã™ã‚‹ã€‚\\ +\begin{verbatim} +  dt1=apply(1..100,5*random()); +  Boxplot("1",dt1,1,1/2); +\end{verbatim} + \\ +例:外部ファイルã¨ã—ã¦ç”¨æ„ã—ãŸãƒ‡ãƒ¼ã‚¿ã‚’èªã¿è¾¼ã‚“ã§ç®±ã²ã’図ã«ã™ã‚‹ã€‚データファイルã¯csvå½¢å¼ã¨ã™ã‚‹ã€‚\\ +\begin{verbatim} +  Boxplot("2","datafile.csv",3,1/2); +  Boxplot("1",dt1,1,1/2); +\end{verbatim} + \\ + 複数列ã‹ã‚‰æˆã‚‹csvファイルをèªã¿è¾¼ã‚€ã«ã¯ï¼ŒReadcsvを使ã†ã€‚èªã¿è¾¼ã‚“ã ファイルã¯ï¼ŒReadcsv()ã§æŒ‡å®šã—ãŸåå‰ã®ãƒªã‚¹ãƒˆã«å…¥ã‚‹ã€‚(é 部ã¯rc)\\ + データã®å€¤ã‚’ç”»é¢ã«å…¥ã‚‹ã‚ˆã†ã«èª¿ç¯€ã™ã‚‹ã«ã¯ï¼Œæ¬¡ã®ã‚ˆã†ã«ãƒªã‚¹ãƒˆã®è¨ˆç®—を利用ã™ã‚Œã°ã‚ˆã„。\\ +  ã¾ãŸï¼ŒFramedata2(),Rulerscale() を併用ã™ã‚‹ã“ã¨ã§ç›®ç››ã‚’入れるã“ã¨ãŒã§ãる。Framedata2() ã®ãŸã‚ã«ï¼Œè¡¨ç¤ºé ˜åŸŸã®å¯¾è§’点A,Bã‚’Cinderellaã®ä½œå›³ãƒ„ールã§ä½œå›³ã—ã¦ãŠã。\\ +\begin{verbatim} +  Readcsv("1","datafile.csv"); +  dt1=apply(rc1,#_1); +  dt2=apply(rc1,#_2); +  Boxplot("1",dt1/20,1,1/2); +  Boxplot("2",dt2/20,3,1/2); +  Framedata2("1",[A,B]); +  Rulerscale(A,["r",0,6,1],["f",1,"\mbox{dt1}",3,"\mbox{dt2}"]); +\end{verbatim} + \\ +     \input{Fig/boxplot}\\ + +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} + +\hypertarget{calcbyr}{} +\item[関数] CalcbyR(変数å,コマンド列,option) +\item[機能] Rã®ã‚³ãƒžãƒ³ãƒ‰ã‚’実行ã—ã¦çµæžœã‚’返㙠+\item[説明] ãƒãƒƒãƒãƒ•ã‚¡ã‚¤ãƒ« kc.bat / シェルファイル kc.sh を利用ã—ã¦Rã¨ãƒ‡ãƒ¼ã‚¿ã‚’ã‚„ã‚Šå–ã‚Šã—,計算çµæžœã‚’å–å¾—ã™ã‚‹ã€‚\\ + \\ +例:Rを用ã„ã¦æ¨™æº–æ£è¦åˆ†å¸ƒã‹ã‚‰10個ã®ä¹±æ•°ã‚’発生ã—,平å‡å€¤ã¨æ¨™æº–å差を求ã‚ã¦ã‚³ãƒ³ã‚½ãƒ¼ãƒ«ã«è¡¨ç¤ºã™ã‚‹ã€‚ +\begin{verbatim} +  cmdL=[ "=rnorm",[10] ]; +  CalcbyR("dt",cmdL); +  nx=length(dt); +  mx=sum(dt)/nx; +  sx=sqrt(dt*dt/nx-mx^2); +  println("データ:"+dt); +  println("å¹³å‡ï¼š"+format(mx,4)+"  標準å差:"+format(sx,4)); +\end{verbatim} +1行目ã®ã€€cmdL=[ "=rnorm",[10] ] ã§ï¼Œæ¨™æº–æ£è¦åˆ†å¸ƒã‹ã‚‰10個ã®ä¹±æ•°ã‚’発生ã™ã‚‹ã‚³ãƒžãƒ³ãƒ‰åˆ—を定義。\\ +2行目ã§ï¼ŒRã§è¨ˆç®—ã—ãŸçµæžœãŒãƒªã‚¹ãƒˆ dt ã«å…¥ã‚‹ã€‚\\ + \\ +例:Rを用ã„ã¦N(50,$5^2$)ã‹ã‚‰10個ã®ä¹±æ•°ã‚’発生ã—,平å‡ã¨ä¸å分散もRã§è¨ˆç®—ã—ã¦ãã®çµæžœã‚’コンソールã«è¡¨ç¤ºã™ã‚‹ã€‚ +\begin{verbatim} +  cmdL=[ +    "tmp1=rnorm",[10,50,5], +    "tmp2=mean",["tmp1"], +    "tmp3=var",["tmp1"], +    "=c(tmp1,tmp2,tmp3)",[] +  ]; +  CalcbyR("rd",cmdL); +  dt=rd_(1..(length(rd)-2)); +  mx=rd_(-2); +  vx=rd_(-1); +  println("データ:"+dt); +  println("å¹³å‡ï¼š"+format(mx,4)+"  ä¸å分散:"+format(vx,4)); +\end{verbatim} + CalcbyR()ã«ã‚ˆã£ã¦ï¼Œãƒ‡ãƒ¼ã‚¿ã¨å¹³å‡ï¼Œä¸å分散ã‹ã‚‰ãªã‚‹ãƒªã‚¹ãƒˆãŒä½œæˆã•ã‚Œã‚‹ã®ã§ï¼Œmxã«å¹³å‡ï¼Œvxã«ä¸å分散を代入ã—ã¦ã„る。\verb|rd_(-1)| ã¯ï¼Œãƒªã‚¹ãƒˆ rd ã®æœ«å°¾ã®è¦ç´ 。\\ + \\ +例:Rã§ãƒã‚¢ã‚½ãƒ³åˆ†å¸ƒã‹ã‚‰200個ã®ä¹±æ•°ã‚’ã¨ã‚Šï¼Œæ¨™æœ¬å¹³å‡ã®åˆ†å¸ƒã®æ§˜åï¼åˆ†æ•£ãŒå°ã•ããªã£ã¦ï¼Œæ£è¦åˆ†å¸ƒã«è¿‘ã¥ã„ã¦ã„る様åï¼ã‚’ヒストグラムã§è¦‹ã‚‹ã€‚ +\begin{verbatim} +  cmdL=[ +   "tmp1=rpois",[200,5], +   "tmp2=mean",["tmp1"], +   "tmp3=var",["tmp1"], +    "=c(tmp2,tmp3,tmp1)",[] +  ]; +  CalcbyR("rd",cmdL); +  dt=rd_(3..length(rd)); +  nn=length(dt); +  mx=rd_1; +  vx=rd_2*(nn-1)/nn; +  sx=sqrt(vx); +  println(dt); +  println(["m="+format(mx,4),"v="+format(vx,4)]); +  Setscaling(1/5); +  Histplot("1",dt,["Breaks=seq(0,14,1)","dr,0.5"]); +\end{verbatim} + \\ +     \input{Fig/poison01}\\ + \\ +例:ãƒã‚¢ã‚½ãƒ³åˆ†å¸ƒã§ä¹±æ•°ã‚’2000個発生ã•ã›ï¼Œ10個ãšã¤ã®å¹³å‡ã‚’ï¼²ã§è¨ˆç®—ã—, +\begin{verbatim} +  cmdL=[ +   "tmp1=rpois",[2000,5], +   "tmp2=c()",[], +   "for(k in 1:200){",[], +   " tmp=tmp1[(10*(k-1)+1):(10*k)]",[], +   " tmp2=c(tmp2,mean(tmp))",[], +   "}",[], +   "=tmp2",[] +  ]; +  CalcbyR("rd2",cmdL); +  Setscaling(1/10); +  Histplot("2",rd2); +\end{verbatim} + +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} +\hypertarget{histplot}{} +\item[関数] Histplot(name,data,option) +\item[機能] Rを利用ã—ã¦ãƒ’ストグラムをæã +\item[説明] dataã¯ãƒªã‚¹ãƒˆã«ã—ã¦ä½œæˆã™ã‚‹ã‹ï¼Œå¤–部ファイルã‹ã‚‰Readcsv()ã§èªã¿è¾¼ã‚€ã€‚\\ +階級範囲(ブレークãƒã‚¤ãƒ³ãƒˆï¼‰ã¯ï¼Œé€šå¸¸ã‚¹ã‚¿ãƒ¼ã‚¸ã‚§ã‚¹ã®å…¬å¼ã«ã‚ˆã‚‹ãŒï¼Œã‚ªãƒ—ションã§ï¼Œ\\ +   "breaks=[0,10,20,30,40,50,60,70,80,90,100]"\\ +ãªã©ã¨æŒ‡å®šã™ã‚‹ã“ã¨ã‚‚ã§ãる。\\ + ã“ã®ä»–ã®ã‚ªãƒ—ションã¯\\ +  "Den=yes/no":密度ã®æŒ‡å®šï¼ˆåˆæœŸå€¤ã¯ no)\\ +  "Rel=yes/no":相対度数ã«ã™ã‚‹/ã—ãªã„(åˆæœŸå€¤ã¯ no)\\ + \\ +例:csvファイル(datafile.csv)をèªã¿è¾¼ã¿ï¼Œãƒ’ストグラムを作る。Framedata2() 㨠Rulerscale()を併用ã—ã¦ï¼Œç›®ç››ä»˜ãã®æž ã®ä¸ã«è¡¨ç¤ºã™ã‚‹ã€‚è¡¨ç¤ºæž ã®å¯¾è§’点A,Bã¯Cinderellaã®ä½œå›³ãƒ„ールã§ä½œå›³ã—ã¦ãŠã。 +\begin{verbatim} +  Addax(0); +  Setscaling(5); +  Setunitlen("0.6mm"); +  Readcsv("1","datafile.csv",[""]); +  Histplot("1",dt1,[""]); +  Framedata2("1",[A,B]); +  Rulerscale(A,["r",0,100,10],["r",0,15,5]); +\end{verbatim} +  \input{Fig/histgram}\\ + +2行目ã¨ï¼“行目ã¯ï¼Œãƒ‡ãƒ¼ã‚¿ã«åˆã‚ã›ã¦ç¸¦æ–¹å‘を5å€ã«ã—,TeXã®å˜ä½é•·ã‚’0.6mmã«ã—ã¦ã„る。\\ +Den,Rel オプションをyes ã«ã—ãŸã¨ãã¯ï¼ŒSetscaling(100)ãら ã„ã«ã™ã‚‹ã®ãŒã‚ˆã„。\\ +csvファイルãŒè¤‡æ•°ã®ãƒ‡ãƒ¼ã‚¿ã‹ã‚‰ãªã‚‹å ´åˆã¯ï¼Œ\\ +  \verb|dt1=apply(rc1,#_1);| +ã¨ã—ã¦ï¼Œãƒªã‚¹ãƒˆã®ç¬¬ï¼‘è¦ç´ ã‚’å–å¾—ã™ã‚‹ã€‚第2è¦ç´ ã®ãƒ’ストグラムã§ã‚れ㰠\verb|#_2| ã¨ã™ã‚‹ã€‚\\ + \\ +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} + +\hypertarget{plotdatar}{} +\item[関数] PlotdataR(name,å¼,変数) +\item[機能] Rã®é–¢æ•°ã®ã‚°ãƒ©ãƒ•ã‚’æã +\item[説明] Cindyscriptã®çµ„ã¿è¾¼ã¿é–¢æ•°ã«ã¯ãªã„関数ã®ã‚°ãƒ©ãƒ•ã‚’Rを利用ã—ã¦æã。\\ + +例:平å‡5, 標準åå·®2ã®æ£è¦åˆ†å¸ƒã®å¯†åº¦é–¢æ•°ã¨åˆ†å¸ƒé–¢æ•°ã®ã‚°ãƒ©ãƒ•ã‚’æã。 +\begin{verbatim} +  PlotdataR(“1â€, “dnorm(x,5,2)â€, â€x=[0,10]â€); +  PlotdataR(“2â€, â€pnorm(x,5,2)â€, â€x=[0,10]â€); +\end{verbatim} + +例:標準æ£è¦åˆ†å¸ƒã®ã‚°ãƒ©ãƒ•ä¸Šã®ç‚¹ã¨x軸をçµã‚“ã 線分をæã。\\ +点A,Bã¯Cinderellaã®ä½œå›³ãƒ„ールã§ä½œå›³ã—ã¦ãŠã,点Aをグラフ上ã®ãŠã‚ˆãã®ä½ç½®ã«ç½®ã„ã¦ã‹ã‚‰å®Ÿè¡Œã™ã‚‹ã€‚ +\begin{verbatim} +  PlotdataR("1","dnorm(x)","x=[-5,5]"); +  Putoncurve("A","grR1",[-3,3]); +  Putpoint("B",[A.x,0]); +  Listplot("1",[A,B]); +\end{verbatim} +2行目ã®æœ€å¾Œã®å¼•æ•°ã®[-3,3]ã¯ï¼Œãã®ç¯„囲を動ã‹ã™ã“ã¨ã‚’æ„味ã™ã‚‹ã€‚\\ +Aã¯ã‚°ãƒ©ãƒ•ä¸Šã‚’å‹•ã‹ã™ã“ã¨ãŒã§ãã¦ï¼ŒBã¯ãã‚Œã«ä¼´ã£ã¦å‹•ã。ãŸã ã—,少ã—å‹•ã‹ã™åº¦ã« ãƒãƒƒãƒ/シェル ファイルを実行ã™ã‚‹ã®ã§ï¼Œç…©é›‘ãªå ´åˆã¯ï¼ŒPlotdata() ã®è¡Œã‚’コメント化ã—ã¦ã‹ã‚‰ç‚¹Aã‚’å‹•ã‹ã—ãŸã‚ã¨å†å®Ÿè¡Œã™ã‚‹ã¨ã‚ˆã„。\\ + \\ +例:上ã¨åŒæ§˜ã§ï¼Œx軸上ã®ç‚¹ã‚’自由点Aã¨ã—,曲線上ã«Bã‚’ç½®ã。 +\begin{verbatim} +  PlotdataR("1","dnorm(x)","x=[-5,5]"); +  PlotdataR("1","dnorm(x)","x=[-5,5]"); +  A.xy=[A.x,0]; +  Lineplot("1",[A,A+[0,1]],["nodisp"]); +  Putintersect("B","grR1","ln1"); +  Listplot("1",[A,B]); +\end{verbatim} + \\ +例:å‰ã®ä¾‹ã®ã‚°ãƒ©ãƒ•ã§ï¼ŒABã®å·¦å´ã«Shadeã‚’ã‹ã‘,Shadeã®éƒ¨åˆ†ã®é¢ç©ã‚’求ã‚る。Pã®å€¤ã‚’表示ã™ã‚‹ä½ç½®ã«ï¼ŒCinderellaã®ä½œå›³ãƒ„ールã§ç‚¹Cã‚’ã¨ã£ã¦ãŠã。 +\begin{verbatim} +  tmp1=[0.2,0,0,0]; +  tmp2=Colorcmyk2rgb(tmp1); +  Setcolor(tmp1); +  Setcolor([0.2,0,0,0]); +  Shade(["en1"],["color->"+text(tmp2)]); +  Setcolor("black"); +  PlotdataR("1","dnorm(x)","x=[-5,5]",["Num=100"]); +  Putpoint("A",[0,0],[A.x,0]); +  Lineplot("1",[A,A+[0,1]],["nodisp"]); +  Putintersect("B","grR1","ln1"); +  Listplot("1",[A,B]); +  Listplot("2",[[-5,0],[5,0]],"nodisp"); +  Enclosing("1",["Invert(grR1)","sg2","sg1"],[B,"notex"]); +  tmp=0.5+Integrate("grR1",[0,A.x]); +  Expr([A,"s",text(A.x),C,"e","P="+text(tmp)]); +\end{verbatim} + \\ +  \input{Fig/rshade}\\ + \\ +Shade() ã¯ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã‚’定義ã—ãªã„ã®ã§ï¼Œå…ˆã«æ›¸ã„ã¦ãŠãã¨å¡—ã£ã¦ã‹ã‚‰ç·šã‚’æãã®ã§ï¼Œã«ã˜ã¿ãŒãªããã‚Œã„ã«ä»•ä¸ŠãŒã‚‹ã€‚("en1"ã¯Enclosing("1"・・)ã§ã§ãるプãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ï¼‰\\ + \\ +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} + +\hypertarget{plotdiscr}{} +\item[関数] PlotdiscR(name,å¼,変数) +\item[機能] Rを利用ã—ã¦é›¢æ•£åž‹ã®ã‚°ãƒ©ãƒ•ã‚’æã +\item[説明] dbinom ï¼ˆäºŒé …åˆ†å¸ƒï¼‰ï¼Œdpois(ãƒã‚¢ã‚½ãƒ³åˆ†å¸ƒï¼‰ï¼Œdgeom(幾何分布)ãªã©é›¢æ•£åž‹ç¢ºçŽ‡åˆ†å¸ƒã®ã‚°ãƒ©ãƒ•ã‚’æã。\\ + \\ +ä¾‹ï¼šäºŒé …åˆ†å¸ƒã®ã‚°ãƒ©ãƒ•ã¨æ£è¦åˆ†å¸ƒã®ã‚°ãƒ©ãƒ•ã‚’比較ã™ã‚‹ã€‚ +\begin{verbatim} +  Setscaling(20); +  PlotdiscR("1","dbinom(k,10,0.4)","k=[0,10]"); +  PlotdataR("1","dnorm(x,10*0.4,sqrt(10*0.4*0.6))","x=[0,10]",["do"]); +\end{verbatim} + \\ +  \input{Fig/binvsnormal}\\ + \\ +関数部分ãŒé•·ããªã‚‹ã¨ãã¯ï¼ŒAssign()を利用ã—ã¦æ¬¡ã®ã‚ˆã†ã«æ›¸ãã“ã¨ã‚‚ã§ãる。 +\begin{verbatim} +  tmp="dnorm(x,n*p,sqrt(n*p*(1-p)))"; +  tmp=Assign(tmp,["n",10,"p",0.4]); +  PlotdataR("2",tmp,"x=[0,10]",["do"]); +\end{verbatim} + +次ã¯ï¼Œãƒã‚¢ã‚½ãƒ³åˆ†å¸ƒãŠã‚ˆã³å¹¾ä½•åˆ†å¸ƒã®ã‚°ãƒ©ãƒ•ã€‚ +\begin{verbatim} +PlotdiscR("2","dpois(k,4)","k=[0,10]"); +PlotdiscR("3","dgeom(k,0.3)","k=[0,10]"); +\end{verbatim} + \\ +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} + +\hypertarget{readcsv}{} +\item[関数] Readcsv(name,filename,option) +\item[機能] Rを利用ã—ã¦csvファイルをèªã‚€ã€‚ +\item[説明] Rを使ã£ã¦csvファイルをèªã¿ï¼ŒKeTCindyã«å¼•ã渡ã™ã€‚\\ +利用例㯠Boxplot() ãªã©ã®ä¾‹ã‚’å‚ç…§ã®ã“ã¨ã€‚\\ + \\ + +\hypertarget{scatterplot}{} +\item[関数] Scatterplot(name,filename,option) +\item[機能] 2次元データをèªã¿è¾¼ã¿ï¼Œæ•£å¸ƒå›³ã‚’æã +\item[説明] 外部ファイル filename(csvå½¢å¼ï¼‰ã‚’èªã¿ï¼Œæ•£å¸ƒå›³ã‚’æã。\\ +オプションã¯ã€€"Reg=no" : 回帰直線をæãã‹ã©ã†ã‹ï¼ˆyes/no) åˆæœŸå€¤ã¯ yes\\ +        A, Bã€€è¡¨ç¤ºæž ã®å¯¾è§’点(左下ã¨å³ä¸Šã®ç‚¹ï¼‰ï¼ˆCinderellaã§ä½œå›³ï¼‰\\ +        C  相関係数ã¨å›žå¸°ç›´ç·šã®å¼ã‚’表示ã™ã‚‹ç‚¹\\ +       "Size=n" :点ã®å¤§ãã•ã€‚Cinderellaã®æç”»é¢ã«ã¯åæ˜ ã•ã‚Œãªã„。\\ +           æç”»é¢ã®ç‚¹ã‚‚大ããã™ã‚‹å ´åˆã¯ï¼Œ"size-$>$n"ã‚ªãƒ—ã‚·ãƒ§ãƒ³ã‚’è¿½åŠ ã™ã‚‹ã€‚\\ +例:data.csv ã‚’èªã‚“ã§æ•£å¸ƒå›³ã‚’æã,回帰直線を引ã。 +\begin{verbatim} +  Scatterplot("1","data.csv",["Reg=yes",A,B,C,"Size=5"]); +  Rulerscale(A,["r",0,10,1],["r",1,10,1]); +\end{verbatim} + optionã®ç‚¹A,Bã¯Cinderellaã®ä½œå›³ãƒ„ールã§ã¨ã£ãŸè¡¨ç¤ºé ˜åŸŸã®å¯¾è§’点。( AãŒå·¦ä¸‹ã€‚ãªãŠï¼Œå¯¾è§’点ã®å称ã¯A,Bã«ã¯é™ã‚‰ãªã„。)\\ + 回帰直線をæãå ´åˆ("Reg=yes")ã¯ï¼Œå›žå¸°ç›´ç·šãŒæž ã‹ã‚‰ã¯ã¿å‡ºã™ã®ã§ï¼ŒAã‚’SW,Bã‚’NEã«ä¸€è‡´ã•ã›ã‚‹ã¨ã‚ˆã„。\\ + Cã¯ç›¸é–¢ä¿‚æ•°ã¨å›žå¸°ç›´ç·šã®å¼ã‚’表示ã™ã‚‹ç‚¹ã¨ã—ã¦Cinderellaã®ä½œå›³ãƒ„ールã§å–る。ã“れも,å称ã¯ï¼£ã«ã¯é™ã‚‰ãªã„。\\ +   \verb|Rulerscale(A,["r",0,10,1],["r",1,10,1]);|\\ + ã§è¡¨ç¤ºæž ã«ç›®ç››ã‚’打ã£ã¦ã„る。"r" ã¯ç‰å¹…,"f"㯠Tickmark ã¨åŒã˜æŒ‡å®šã€‚\\ + \\ +     \input{Fig/scatter}\\ +\end{description} +\newpage + +% Maximaã¨ã®é€£æºã€€================================== +\subsection{Maximaã¨ã®é€£æº} +Maximaã¯æ•°å¼å‡¦ç†ã‚½ãƒ•ãƒˆã§ï¼ŒKeTCindyã«ãŠã„ã¦ã¯å¾®ç©åˆ†ã®è¨ˆç®—ãªã©ï¼ŒCindyscriptã§ã¯ä¸å分ãªç‚¹ã‚’補ã†ã“ã¨ãŒã§ãる。\\ + KeTCindyã§ã¯ï¼Œkc.bat/shã«ã‚ˆã£ã¦ã‚³ãƒžãƒ³ãƒ‰ã‚’Maximaã«æ¸¡ã—,çµæžœã‚’テã‚ストファイルã§å—ã‘å–る。ã“ã®ã¨ã,Maximaã¨ã®ã‚„ã‚Šã¨ã‚Šã§ï¼Œæ¬¡ã®ã‚ˆã†ãªãƒ•ã‚¡ã‚¤ãƒ«ãŒä½œæ¥ãƒ‡ã‚£ãƒ¬ã‚¯ãƒˆãƒªã«ä½œæˆã•ã‚Œã‚‹ã€‚\\ +æ‹¡å¼µå max :Maxima用ã®ãƒ•ã‚¡ã‚¤ãƒ«\\ +æ‹¡å¼µå txt:データファイル\\ +ã“ã®ãƒ‡ãƒ¼ã‚¿ã®ã‚„ã‚Šå–ã‚Šã«é–¢ã™ã‚‹æ¬¡ã®ã‚ªãƒ—ションãŒã‚る。\\ + オプションãªã—ã¾ãŸã¯ï¼Œâ€â€ ã®ã¨ã\\ +  i) データファイルãŒãªã‘ã‚Œã°ï¼Œæ–°ã—ã作る\\ +  ii) データファイルãŒæ—¢ã«ã‚ã‚Œã°ãれをèªã¿è¾¼ã‚€\\ + "m" ã®ã¨ã,強制的ã«ãƒ‡ãƒ¼ã‚¿ãƒ•ã‚¡ã‚¤ãƒ«ã‚’作り直ã™ã€‚\\ + "r" ã®ã¨ã,ã™ã§ã«ã‚るデータファイルをèªã¿è¾¼ã‚€ã€‚\\ + ã“ã®ã¨ã,ファイルã®èªã¿æ›¸ãã§ä¸å…·åˆãŒã‚ã‚‹ã¨ï¼Œæ•°ç§’ã®å¾Œã€Œ==$>$ file.txt not generated (5 s ) ã€ã®ã‚ˆã†ãªã‚¨ãƒ©ãƒ¼ãƒ¡ãƒƒã‚»ãƒ¼ã‚¸ãŒã‚³ãƒ³ã‚½ãƒ¼ãƒ«ã«è¡¨ç¤ºã•ã‚Œã‚‹ã€‚ã“ã®ã‚ˆã†ãªå ´åˆã¯ä½œæ¥ãƒ‡ã‚£ãƒ¬ã‚¯ãƒˆãƒªã®è¨å®šãªã©ã‚’確èªã—ã¦ã„ãŸã ããŸã„。ã“ã®å¾…ã¡æ™‚é–“ã«ã¤ã„ã¦ã¯ï¼ŒWaitオプションã§è¨å®šã™ã‚‹ã“ã¨ã‚‚ã§ãる。\\ + +\begin{description} + +\hypertarget{calcbyM}{} +\item[関数] CalcbyM(name,コマンド,option) +\item[機能] Maximaã®ã‚¹ã‚¯ãƒªãƒ—トを実行ã™ã‚‹ +\item[説明] 第2引数ã¯Maximaã§å®Ÿè¡Œã™ã‚‹ã‚³ãƒžãƒ³ãƒ‰ã€‚\\ + コマンドã¨å¼•æ•°ãƒªã‚¹ãƒˆã®ç¹°ã‚Šè¿”ã—ã‹ã‚‰ãªã‚‹ãƒªã‚¹ãƒˆï¼ˆä¾‹ãˆã°cmdL)を作ã£ã¦ï¼Œä¸€åº¦ã«å®Ÿè¡Œã™ã‚‹ã€‚\\ + 戻り値ã¯ãªã„。(未定義値) çµæžœã¯ï¼Œã‚³ãƒžãƒ³ãƒ‰ãƒªã‚¹ãƒˆã®æœ€å¾Œã«è¨˜è¿°ã—ãŸå¤‰æ•°ï¼ˆå¼•æ•°ã¯ç©ºãƒªã‚¹ãƒˆï¼‰ã®å€¤ãŒname ã§æŒ‡å®šã•ã‚ŒãŸå¤‰æ•°ã«ä»£å…¥ã•ã‚Œã‚‹ã€‚複数ã®çµæžœã‚’戻ã™ã¨ãã¯ï¼Œ:: ã§åŒºåˆ‡ã£ã¦è¨˜è¿°ã™ã‚‹ã¨ãƒªã‚¹ãƒˆã«ã—ã¦ä»£å…¥ã•ã‚Œã‚‹ã€‚\\ + \\ +例:$\sin x$ ã¨ãã®å°Žé–¢æ•°ã‚’表示ã™ã‚‹ã€‚çµæžœã¯ 変数 fdf ã« f ã¨df ã®ãƒªã‚¹ãƒˆãŒä»£å…¥ã•ã‚Œã‚‹ã€‚ +\begin{verbatim} +  cmdL=[ +   "f:sin(x)", [], +   "df:diff",["sin(x)","x"], +   "f::df",[] +  ]; +  CalcbyM("fdf",cmdL); +  println(fdf); +\end{verbatim} + \\ + 実行ã™ã‚‹ã¨ï¼Œã‚³ãƒ³ã‚½ãƒ¼ãƒ«ã«ï¼Œ[sin(x),cos(x)] ã¨è¡¨ç¤ºã•ã‚Œã‚‹ã€‚\\ + \\ +ä¾‹ï¼šï¼’æ¬¡æ–¹ç¨‹å¼ $x^2-x-4=0$ã®è§£ã‚’求ã‚る。 +\begin{verbatim} +  cmdL=[ +   "ans:solve",["x^2-x-4","x"], +   "ans",[] +  ]; +  CalcbyM("ans",cmdL); +  println("ans="+ans); +\end{verbatim} + コンソールã«ã¯\\ +  ans=[x = -(sqrt(17)-1)/2,x = (sqrt(17)+1)/2] \\ + ãŒè¡¨ç¤ºã•ã‚Œã‚‹ã€‚\\ + \\ +{\bf 応用例1:曲線ã®æŽ¥ç·šã‚’引ã}\\ + \\ + $f(x)=\dfrac{e^x+e^{-x}}{2}$ ã®ï¼Œ$x=a$ã«ãŠã‘る接線ã®æ–¹ç¨‹å¼ã‚’作る。\\ +Maximaã§ãã®å‡¦ç†ã‚’è¡Œã†ã‚³ãƒžãƒ³ãƒ‰ã‚’定義ã—,CalbyMã§å®Ÿè¡Œã™ã‚‹ã€‚ +\begin{verbatim} +  fx="(exp(x)+exp(-x))/2"; +  cmdL=[ +   "df:diff",[fx,"x"], +   "c:ev",["df","x=a"], +   "b:ev",[fx,"x=a"], +   "eq:c*(x-a)+b",[], +    "eq",[] +  ]; +  CalcbyM("tn1",cmdL); +  println(tn1); +\end{verbatim} + コンソールã«ã¯ +\begin{verbatim} +  (%e^a-%e^-a)*(x-a))/2+(%e^a+%e^-a)/2 +\end{verbatim} +ãŒè¡¨ç¤ºã•ã‚Œã‚‹ã€‚\\ + ã“ã®ï¼ŒCalbyMã®æˆ»ã‚Šå€¤ tn1 を用ã„ã¦ï¼Œæ›²ç·šä¸Šã®ï¼‘点Aã«ãŠã‘る接線ã®ã‚°ãƒ©ãƒ•ã‚’æã。以下ã®ã‚¹ã‚¯ãƒªãƒ—ãƒˆã‚’è¿½åŠ ã™ã‚‹ã€‚ãªãŠï¼Œç‚¹Aã‚’Cinderellaã®ä½œå›³ãƒ„ールã§é©å½“ãªã¨ã“ã‚ã«ã¨ã£ã¦ãŠã。 +\begin{verbatim} +  tn1=Assign(tn1,["%e^a","exp(a)","%e^-a","exp(-a)"]); +  Plotdata("1",fx,"x"); +  Putoncurve("A","gr1"); +  tmp=Assign(tn1,["a",A.x]); +  plotdata("2",tmp,"x",["Num=2"]); +\end{verbatim} +1行目ã§ã¯Maximaã§ä½œæˆã—ãŸå¼ã‚’,Cindyscriptã§ãƒ—ãƒãƒƒãƒˆã§ãã‚‹å¼ã«ã—ã¦ã„る。\\ + \\ +      \input{Fig/maxfun01}\\ + \\ + ãªãŠï¼ŒæŽ¥ç·šã®æ–¹ç¨‹å¼ã‚’求ã‚ã‚‹ã ã‘ã§ã‚ã‚Œã°ï¼ŒMxfun()を使ã†ã“ã¨ã‚‚ã§ãる。Mxfun()ã®è§£èª¬ã‚’å‚ç…§ã®ã“ã¨ã€‚\\ + \\ +{\bf 応用例2:パラメトリックã®å ´åˆã®æŽ¥ç·š}\\ + \\ + 媒介変数ã®å€¤ã‚’決ã‚ã‚‹ãŸã‚ã«ï¼Œç‚¹Aã‚’Cinderellaã®æç”»é¢ã®x軸上ã«ã¨ã£ã¦ãŠã,ãã®$x$座標を媒介変数$t$ã®å€¤ã¨ã™ã‚‹ã€‚スライダを作ã£ã¦ã‚‚よã„。 +\begin{verbatim} +  fn="3*cos(t)^2*[cos(t),sin(t)]"; +  cmdL=[ +   "f:",[fn], +   "df:diff",["f","t"], +   "df:trigsimp",["df"], +   "tn:f+s*df",[], +   "tn",[] +  ]; +  CalcbyM("tn2",cmdL); +  Paramplot("1",fn,"t=[0,2*pi]",["Num=100"]); +  gn=Assign(tn2,["t",A.x]); +  Paramplot("2",gn,"s=[-3,3]"); +\end{verbatim} + \\ +      \input{Fig/maxfun02}\\ + \\ + cmdLã§å®šç¾©ã—ã¦ã„ã‚‹Maximaã®ã‚³ãƒžãƒ³ãƒ‰ï¼ˆtrigsimp ãªã©ï¼‰ã«ã¤ã„ã¦ã¯ï¼ŒMaximaã®è§£èª¬æ›¸ãªã©ã‚’å‚ç…§ã•ã‚ŒãŸã„。\\ + \\ +\hypertarget{example}{} +\item[関数] Example("Mxfun",æ–‡å—) +\item[機能] Mxfunã®ä½¿ç”¨ä¾‹ã‚’表示。文å—㯠"a","b",ãªã©ã€‚ +\item[説明] ãŸã¨ãˆã°ï¼Œ\verb|Example("Mxfun","a")| ã¨ã™ã‚‹ã¨ï¼ŒMxfunã®ä½¿ç”¨ä¾‹ãŒã‚³ãƒ³ã‚½ãƒ¼ãƒ«ã«è¡¨ç¤ºã•ã‚Œã‚‹ã€‚\\ + \\ + +\hypertarget{mxbatch}{} +\item[関数] Mxbatch(ファイルå) +\item[機能] Maximaã®ãƒ•ã‚¡ã‚¤ãƒ«ã‚’実行ã™ã‚‹ã‚³ãƒžãƒ³ãƒ‰ä½œã‚‹ +\item[説明] Dirlibã§æŒ‡å®šã•ã‚ŒãŸãƒ•ã‚©ãƒ«ãƒ€ã®ä¸ã® maximaL フォルダã«ã‚るファイルを実行ã™ã‚‹ãŸã‚ã®ï¼ŒCalcbyM用ã®ã‚³ãƒžãƒ³ãƒ‰ã‚’作æˆã™ã‚‹ã€‚\\ +例:\verb|cmd=Mxbatch("fourier_sec")|\\ + を実行ã™ã‚‹ã¨ï¼Œcmdã«\\ +  \verb|[batch,["/Applications/ketcindy/ketlib/maximaL/fourier_sec.max"]] |\\ + ãŒä»£å…¥ã•ã‚Œã‚‹ã€‚ãã“ã§ï¼Œ\\ +  \verb|CalcbyM("ret",cmd,[]);|\\ + を実行ã™ã‚Œã°ï¼Œfourier\_sec.max ãŒå®Ÿè¡Œã•ã‚Œã¦ï¼Œçµæžœã‚’ ret ã«å–å¾—ã§ãる。\\ + fourier\_sec.max ã«ç¶šã‘ã¦ï¼Œã‚³ãƒžãƒ³ãƒ‰åˆ— cmd2 を実行ã™ã‚‹ã“ã¨ã‚‚ã§ã,ãã®å ´åˆã¯ +\begin{verbatim} +  cmdL=Concat(Mxbatch("fourier_sec"),cmd2); +  CalcbyM("ret",cmdL,[]); +\end{verbatim} +ã¨ã™ã‚‹ã€‚(Concat() ã¯ãƒªã‚¹ãƒˆã‚’çµåˆã™ã‚‹Cindyscriptã®é–¢æ•°ï¼‰\\ + \\ + +\hypertarget{mxfun}{} +\item[関数] Mxfun(name,å¼ï¼Œãƒªã‚¹ãƒˆï¼Œoption) +\item[機能] Maximaã®é–¢æ•°ã‚’実行ã™ã‚‹ +\item[説明] 第2引数ã®ã€Œå¼ã€ã¯Maximaã®é–¢æ•°å。第3引数ã®ãƒªã‚¹ãƒˆã¯é–¢æ•°ã«æ¸¡ã™å¼•æ•°ã®ãƒªã‚¹ãƒˆã€‚\\ + 戻り値ã¯ï¼Œç¬¬ï¼‘引数ã®å¼ã«ï¼‘ã¤ã§ã‚‚æ–‡å—ãŒã‚ã‚‹ã¨æ–‡å—列ã¨ãªã‚‹ã€‚ã™ã¹ã¦æ•°å—(+,-, . ã‚’å«ã‚€ï¼‰ã®å ´åˆã¯ +16æ¡ä»¥ä¸‹ã§ã‚ã‚Œã°æ•°ï¼Œãれ以上ã®å ´åˆã¯æ–‡å—列ã¨ãªã‚‹ã€‚ã¾ãŸï¼Œæˆ»ã‚Šå€¤ã¯ï¼Œå¤‰æ•° mxname ã«ã‚‚代入ã•ã‚Œã‚‹ã€‚\\ +オプション㫠"Disp=no" ã‚’ã¤ã‘ã‚‹ã¨ï¼Œçµæžœã‚’コンソールã«è¡¨ç¤ºã—ãªã„。\\ + \\ +例:$10!$を求ã‚る。\\ +  \verb|Mxfun("1","10!",[],[""]);|\\ + を実行ã™ã‚‹ã¨ï¼Œã‚³ãƒ³ã‚½ãƒ¼ãƒ«ã«ã€€mx1 is 362880 ã¨è¡¨ç¤ºã•ã‚Œã‚‹ã€‚ã“ã®å€¤ã¯å¤‰æ•° mx1 ã«ä»£å…¥ã•ã‚Œã¦ã„ã‚‹ã®ã§ï¼Œ\\ +  \verb|drawtext([0,1],mx1);|\\ +ã¨ã™ã‚Œã°Cinderellaã®æç”»é¢ä¸Šã«è¡¨ç¤ºã•ã‚Œã‚‹ã€‚\\ + ã¾ãŸï¼Œæˆ»ã‚Šå€¤ã‚’別ã®å¤‰æ•°ã«ä»£å…¥ã—ã¦ä½¿ã†ã“ã¨ã‚‚ã§ãる。 +\begin{verbatim} +  fact10=Mxfun("1","10!",[],[""]); +  drawtext([0,1],fact10); +\end{verbatim} + \\ +例:$f(x)=\sin x$ を微分ã™ã‚‹\\ +   \verb|Mxfun("1", "diff",["sin(x)","x"])|\\ + ã¨ã™ã‚‹ã¨\\ +  diff(sin(x),x)\\ + ã¨ã„ã†ã‚³ãƒžãƒ³ãƒ‰ã‚’Maximaã«æ¸¡ã—ã¦ï¼Œæˆ»ã‚Šå€¤ã‚’Cindyã®å¤‰æ•°mx1ã«ä»£å…¥ã™ã‚‹ã€‚\\ +   \verb|Mxfun("1", "diff(sin(x),x)",[]])|\\ + ã¨ï¼Œç¬¬ï¼‘引数ã«ã¾ã¨ã‚ã¦ã‚‚åŒã˜çµæžœã«ãªã‚‹ã€‚ãŸã ã—,ã“ã®å ´åˆï¼Œç¬¬ï¼’引数ã¯ç©ºãƒªã‚¹ãƒˆã¨ã™ã‚‹ã€‚\\ + 文å—列を引数ã¨ã™ã‚‹å ´åˆï¼Œä¾‹ãˆã°ï¼Œæ–‡å—列を連çµã™ã‚‹ã‚³ãƒžãƒ³ãƒ‰concatã§ã¯ï¼Œ\\ +   concat("a","b")\\ + ã¨ã™ã‚‹ãŒï¼ŒCindyscriptã®æ–‡å—列ã®å‡¦ç†ã®é–¢ä¿‚ã§ï¼Œç¬¬ï¼‘引数ã§ã¯ã“ã®å½¢ã§è¨˜è¿°ã§ããªã„。\\ + ã—ãŸãŒã£ã¦ï¼Œã“ã®ã‚ˆã†ãªå ´åˆã¯ï¼Œç¬¬ï¼’引数を使ã£ã¦\\ +   \verb|Mxfun("1","concat",["a","b"])| + ã¨ã™ã‚Œã°ã‚ˆã„。\\ + \\ +{\bf Cindyscriptã®å¾®åˆ†ã¨ã®é•ã„}\\ + Cindyscriptã§ã‚‚微分ã¯ã§ãる。ãŸã¨ãˆã°ï¼Œ +\begin{verbatim} +  f(x):=sin(x); +  g(x):=d(f(#),x); +  plot(g(#)); +\end{verbatim} + ã¨ã™ã‚‹ã¨ï¼Œcos(x)ã®ã‚°ãƒ©ãƒ•ãŒæã‹ã‚Œã‚‹ã€‚\\ + ã—ã‹ã—,Cindyscriptã®å¾®åˆ†ãŒï¼Œå¾®åˆ†ã®å®šç¾©ã«ã‚ˆã‚‹æ•°å€¤è¨ˆç®—ã§ã‚ã‚‹ã®ã«å¯¾ã—,Maximaã§ã¯æ•°å¼å‡¦ç†ã¨ã—ã¦å¾®åˆ†ãŒã§ãる。\\ + ãã®æ„味ã®é•ã„ã¯ï¼Œæ¬¡ã®ã‚¹ã‚¯ãƒªãƒ—トã§ç¢ºã‹ã‚られる。 +\begin{verbatim} +  f(x):=sin(x); +  g(x):=d(f(#),x); +  println(g(x)); +\end{verbatim} + ã§ã¯ï¼Œã‚³ãƒ³ã‚½ãƒ¼ãƒ«ã«è¡¨ç¤ºã•ã‚Œã‚‹ã®ã¯æœªå®šç¾©å€¤ï¼ˆ\_ \_ \_) ã§ã‚る。\\ +一方, +\begin{verbatim} +  Mxfun("1", "diff",["sin(x)","x"]); +  println(mx1); +\end{verbatim} +ã§ã¯ï¼Œã‚³ãƒ³ã‚½ãƒ¼ãƒ«ã« \verb|cos(x)| ã¨è¡¨ç¤ºã•ã‚Œã‚‹ã€‚\\ +mx1ã¯æ–‡å—列ã§ã‚ã‚‹ã®ã§ï¼Œ +\begin{verbatim} +  g(x):=parse(mx1); +\end{verbatim} +ã¨ã™ã‚Œã°ï¼Œg(x)を導関数ã¨ã™ã‚‹ã“ã¨ãŒã§ã,\verb|plot(g(#))| ã§ã‚°ãƒ©ãƒ•ã‚’æãã“ã¨ãŒã§ãる。\\ + ã¾ãŸï¼ŒCindyscriptã®å¾®åˆ†ã§ã¯ï¼Œï¼“階ã‹ï¼”階ã¾ã§ã®å°Žé–¢æ•°ãŒè¨ˆç®—上ã®é™åº¦ã§ã‚ã‚‹ã®ã«å¯¾ã—,Maximaãªã‚‰ä½•éšŽã§ã‚‚微分ãŒã§ãã‚‹ã®ã§ï¼Œãƒ†ã‚¤ãƒ©ãƒ¼å±•é–‹ãªã©ã§æœ‰åˆ©ã§ã‚る。\\ + \\ + \\ +例 $\sin x$ 㮠テイラー展開を行ã„,グラフを表示ã™ã‚‹ã€‚ +\begin{verbatim} +  Mxfun("1","taylor",["sin(x)","x",0,7],[""]); +  Plotdata("1","sin(x)","x",["da"]); +  Plotdata("2",mx1,"x"); +\end{verbatim} + \\ +    \input{Fig/taylor} + \\ +Mxtex() を用ã„ã¦ï¼ŒMxfun()ã®çµæžœã® mx1ã‚’TeX書å¼ã«ã—ã¦è¡¨ç¤ºã™ã‚‹ã“ã¨ã‚‚ã§ãる。\\ +  \verb|Expr([[1,2],"e",Mxtex("1",mx1)]);|\\ +ã‚’è¿½åŠ ã™ã‚Œã°[1,2]ã®ä½ç½®ã«å¼ãŒè¡¨ç¤ºã•ã‚Œã‚‹ã€‚\\ + \\ + \\ +{\bf 応用例:接線ã®æ–¹ç¨‹å¼ã‚’作る}\\ + \\ + $f(x)=\dfrac{e^x+e^{-x}}{2}$ ã®ï¼Œ$x=a$ã«ãŠã‘る接線ã®æ–¹ç¨‹å¼ã‚’作る。\\ + 関数å¼ã‚’æ–‡å—列ã«ã—ã¦ãŠã,Assign() を用ã„ã¦å¤‰æ•°$x$ã‚’$a$ã«å¤‰ãˆã‚Œã°ï¼Œ$f(a)$ã®å¼ã‚’作るã“ã¨ãŒã§ãる。導関数ã«ã¤ã„ã¦ã‚‚åŒæ§˜ã«ã™ã‚‹ã€‚\\ +\begin{verbatim} +  fx="(exp(x)+exp(-x))/2"; +  gx=Mxfun("1","diff",[fx,"x"]); +  fa=Assign(fx,["x","a"]); +  ga=Assign(gx,["x","a"]); +  tf=ga+"*(x-a)+("+fa+")"; +  println(tf); +\end{verbatim} + コンソールã«ã¯ +\begin{verbatim} +  (%e^a-%e^-a)/2*(x-a)+((exp(a)+exp(-a))/2) +\end{verbatim} +ãŒè¡¨ç¤ºã•ã‚Œã‚‹ã€‚\\ + \\ + +\hypertarget{mxtex}{} +\item[関数] Mxtex(name,å¼) +\item[機能] å¼ã‚’TeX書å¼ã«ã™ã‚‹ +\item[説明] 第2引数ã®å¼ã¯ï¼Œç›´æŽ¥æ›¸ã„ãŸå¼ã‚‚ã—ãã¯Mxfunã®æˆ»ã‚Šå€¤ã€‚ã“れをTeXã®æ›¸å¼ã«ã™ã‚‹ã€‚\\ +戻り値ã¯ï¼Œå¤‰æ•° txname ã«ã‚‚代入ã•ã‚Œã‚‹ã€‚\\ + \\ +例:部分分数ã¸ã®åˆ†è§£ +\begin{spacing}{1.5} + 部分分数$\dfrac{x^3}{(x+1)(x+2)}$ã®åˆ†è§£ã‚’Maximaã§è¡Œã„,ãã®çµæžœã‚’TeX書å¼ã«ã—ã¦ç”»é¢ã«è¡¨ç¤ºã™ã‚‹ã€‚ç”»é¢ã«è¡¨ç¤ºã•ã‚ŒãŸçµæžœã¯ãã®ã¾ã¾KeTCindyã§å‡ºåŠ›ã§ãる。 +\end{spacing} + +\begin{verbatim} +  Mxfun("1","partfrac",["x^3/((x+1)*(x+2))","x"]); +  Mxtex("1",mx1); +  Expr([0,1],"e",tx1); +\end{verbatim} + ã“ã“ã§ï¼Œmx1,tx1ã¯ãã‚Œãžã‚ŒMxfun("1",・・) , Mxtex"1",・・) ã®çµæžœï¼ˆæˆ»ã‚Šå€¤ï¼‰ã§ã‚る。mx1,tx1 ã¯ã‚³ãƒ³ã‚½ãƒ¼ãƒ«ã«ã‚‚表示ã•ã‚Œï¼Œtx1ã¯æ¬¡ã®ã‚ˆã†ã«ãªã£ã¦ã„る。 +\begin{verbatim} +  \frac{8}{x+2}-\frac{1}{x+1}+x-3 +\end{verbatim} + Cindyscriptã¯TeX書å¼ã‚’サãƒãƒ¼ãƒˆã—ã¦ã„ã‚‹ã®ã§ã“ã‚Œã§æç”»é¢ã«åˆ†æ•°å¼ãŒè¡¨ç¤ºã•ã‚Œã‚‹ãŒï¼ŒTexã®æ–‡æ›¸ã§ã¯ï¼Œ\verb|\frac{}{}| ã§ã¯ãªã,\verb|\dfrac{}{}|を使ã†ã“ã¨ãŒå¤šã„。ãã“ã§ï¼ŒAssign()を用ã„ã¦ï¼Œ"frac" ã‚’ "dfrac" ã«å¤‰ãˆã‚Œã°ï¼Œãã®ã¾ã¾Tex文書ã§ä½¿ãˆã‚‹ã€‚ãŸã ã—,Cindyscript㯠\verb|\dfrac{}{}| をサãƒãƒ¼ãƒˆã—ã¦ã„ãªã„ã®ã§ï¼Œç”»é¢ä¸Šã§ã¯åˆ†æ•°è¡¨è¨˜ã«ãªã‚‰ãªã„。ãã®ã‚ãŸã‚Šã®äº‹æƒ…を次ã®ã‚¹ã‚¯ãƒªãƒ—トã§ç¤ºã™ã€‚ +\begin{verbatim} +  fx="x^3/((x+1)*(x+2))"; +  pfx=Mxfun("1","partfrac",[fx,"x"]); +  form=Mxtex("1",fx)+"="+Mxtex("2",pfx); +  dform=Assign(form,["frac","dfrac"]); +  Letter([0,5],"e","部分分数ã¸ã®åˆ†è§£ã€€$"+form+"$"); +  Letter([0,3],"e","部分分数ã¸ã®åˆ†è§£ã€€$"+dform+"$"); +\end{verbatim} +Cinderellaã®æç”»é¢ã§ã¯æ¬¡ã®ã‚ˆã†ã«è¡¨ç¤ºã•ã‚Œã‚‹ã€‚\\ + \\ +    \includegraphics[bb=0 0 694 232 , width=8cm]{Fig/mxtex01.png}\\ + \\ +出力ã—ãŸTeX挿入図ã§ã¯æ¬¡ã®ã‚ˆã†ã«ãªã‚‹ã€‚\\ + \\ +  \input{Fig/mxtex02}\\ + \\ +ãªãŠï¼Œæ–‡å—列を置æ›ã™ã‚‹ã®ã«ï¼Œ\verb|Assign(form,["frac","dfrac"])| ã§ã¯ãªã,\\ +Cindyscriptã®æ–‡å—列ã®é–¢æ•° replace を用ã„ã¦ï¼Œ\\ +   \verb|dform=replace(form,"frac","dfrac");| \\ +ã¨ã—ã¦ã‚‚よã„。\\ + \\ +例:2次関数ã®ã‚°ãƒ©ãƒ•ã‚’表示ã—,$x$軸ã¨ã®äº¤ç‚¹ã®$x$座標を表示ã™ã‚‹ã€‚ +\begin{verbatim} +  fx="x^2-x-3"; +  cmdL=[ +   "ans:solve",[fx,"x"], +   "ans",[] +  ]; +  CalcbyM("ans",cmdL); +  p1=indexof(ans,"["); +  p2=indexof(ans,","); +  p3=indexof(ans,"]"); +  s1=substring(ans,p1,p2-1); +  s2=substring(ans,p2,p3-1); +  s1=replace(s1,"x =",""); +  s2=replace(s2,"x =",""); +  Mxtex("1",s1); +  Mxtex("2",s2); +  Plotdata("1",fx,"x"); +  Expr([-2,-0.5],"e",tx1); +  Expr([2,-0.5],"e",tx2); +\end{verbatim} + \\ +       \input{Fig/mxtex03}\\ + \\ + ã“ã“ã§ï¼Œ\verb|CalcbyM("ans",cmdL);| ã§å¾—られるansã¯ï¼Œæ¬¡ã®ã‚ˆã†ãªæ–‡å—列ã§ã‚る。\\ +    \verb|"[x = -(sqrt(13)-1)/2,x = (sqrt(13)+1)/2] "|\\ +ãã“ã§ï¼Œã“ã“ã‹ã‚‰ï¼’ã¤ã®å¼ã ã‘を抽出ã™ã‚‹ä½œæ¥ã‚’è¡Œã£ãŸã®ã¡ï¼ŒMxtex() ã§TeXã®å¼ã‚’å¾—ã¦ã„る。\\ + ã•ã‚‰ã«å¿œç”¨ã¨ã—ã¦ï¼Œç‚¹Aã‚’Cinderellaã®ä½œå›³ãƒ„ールã§ä½œå›³ã—, +\begin{verbatim} +  if(A.y<0, +   fx="(x-"+text(A.x)+")^2"+guess(A.y), +   fx="(x-"+text(A.x)+")^2+"+guess(A.y); +  ); +\end{verbatim} +ã¨ã™ã‚‹ã¨ï¼Œç‚¹Aã‚’é ‚ç‚¹ã¨ã™ã‚‹æ”¾ç‰©ç·šã¨è»¸ã¨ã®äº¤ç‚¹ã®åº§æ¨™ãŒæã‹ã‚Œã‚‹ã€‚Maximaã¨ã®ãƒ‡ãƒ¼ã‚¿ã®ã‚„ã‚Šå–ã‚Šã‚’ã™ã‚‹ãŸã‚ã®ã‚¿ã‚¤ãƒ ラグãŒã‚ã‚‹ãŒï¼Œã‚¤ãƒ³ã‚¿ãƒ©ã‚¯ãƒ†ã‚£ãƒ–ã«æ”¾ç‰©ç·šã®ä½ç½®ã‚’変ãˆã‚‹ã“ã¨ãŒã§ãる。\\ + \\ +<å‚考>\\ + 2次関数ã®ã‚ˆã†ãªç°¡å˜ãªé–¢æ•°ã§ã‚ã‚Œã°ï¼ŒCindyscriptã® roots() 関数を用ã„ã¦ï¼’次方程å¼ãŒè§£ã‘ã‚‹ã®ã§ï¼Œæ¬¡ã®ã‚¹ã‚¯ãƒªãƒ—トã§ã»ã¼åŒã˜å‹•ä½œã‚’ã™ã‚‹ã‚‚ã®ã‚’作るã“ã¨ãŒã§ãる。「ã»ã¼ã€ã¨ã„ã†ã®ã¯ç‚¹Aã®ä½ç½®ã«ã‚ˆã£ã¦ã¯ï¼Œguess()ã§è§£é‡ˆã—ãã‚Œãªã„ã“ã¨ãŒã‚ã‚‹ãŸã‚ã§ã‚る。Maximaを使ãˆã°æ•°å¼å‡¦ç†ã§è§£ã‚’求ã‚ã‚‹ã®ã§ï¼ŒAãŒã©ã“ã«ã‚ã£ã¦ã‚‚ãã‚Œã„ã«è¡¨ç¤ºã§ãる。 +\begin{verbatim} +  fx="x^2-2*A.x*x+A.x^2+A.y"; +  cf=[A.x^2+A.y,-2*A.x,1]; +  sol=roots(cf); +  s1=guess(sol_2); +  s2=guess(sol_1); +  Mxtex("1",s1); +  Mxtex("2",s2); +  Plotdata("1",fx,"x"); +  Expr([-2,-0.5],"e",tx1); +  Expr([2,-0.5],"e",tx2); +\end{verbatim} + +\end{description} + +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} +\newpage + + +% Scilabã¨ã®é€£æºã€€================================== +\subsection{Scilabã¨ã®é€£æº} + KeTCindyã¯ï¼Œã‚‚ã¨ã‚‚㨠Scilab ã¨é€£æºã—ã¦ï¼ŒCinderellaã‹ã‚‰ã®å‡ºåŠ›ã‚’TeXã®ãƒ†ã‚ストã¨ã™ã‚‹ã‚·ã‚¹ãƒ†ãƒ ã§ã‚る。ã—ã‹ã—,ãã‚Œã ã‘ã§ãªã,Maximaãªã©ã¨ã®é€£æºã¨åŒæ§˜ï¼ŒScilab ã®é–¢æ•°ã‚’実行ã—ã¦ï¼Œãƒ‡ãƒ¼ã‚¿ã‚’ã‚„ã‚Šã¨ã‚Šã™ã‚‹ã“ã¨ãŒã§ãる。\\ + KeTCindyã§ã¯ï¼Œkc.bat/shã«ã‚ˆã£ã¦ã‚³ãƒžãƒ³ãƒ‰ã‚’Scilabã«æ¸¡ã—,çµæžœã‚’テã‚ストファイルã§å—ã‘å–る。ã“ã®ã¨ã,Scilabã¨ã®ã‚„ã‚Šã¨ã‚Šã§ï¼Œæ¬¡ã®ã‚ˆã†ãªãƒ•ã‚¡ã‚¤ãƒ«ãŒä½œæ¥ãƒ‡ã‚£ãƒ¬ã‚¯ãƒˆãƒªã«ä½œæˆã•ã‚Œã‚‹ã€‚\\ +æ‹¡å¼µå sci :Scilab用ã®ãƒ•ã‚¡ã‚¤ãƒ«\\ +æ‹¡å¼µå txt:データファイル\\ +ã“ã®ãƒ‡ãƒ¼ã‚¿ã®ã‚„ã‚Šå–ã‚Šã«é–¢ã™ã‚‹æ¬¡ã®ã‚ªãƒ—ションãŒã‚る。\\ + オプションãªã—ã¾ãŸã¯ï¼Œâ€â€ ã®ã¨ã\\ +  i) データファイルãŒãªã‘ã‚Œã°ï¼Œæ–°ã—ã作る\\ +  ii) データファイルãŒæ—¢ã«ã‚ã‚Œã°ãれをèªã¿è¾¼ã‚€\\ + "m" ã®ã¨ã,強制的ã«ãƒ‡ãƒ¼ã‚¿ãƒ•ã‚¡ã‚¤ãƒ«ã‚’作り直ã™ã€‚\\ + "r" ã®ã¨ã,ã™ã§ã«ã‚るデータファイルをèªã¿è¾¼ã‚€ã€‚\\ + ã“ã®ã¨ã,ファイルã®èªã¿æ›¸ãã§ä¸å…·åˆãŒã‚ã‚‹ã¨ï¼Œæ•°ç§’ã®å¾Œã€Œ==$>$ file.txt not generated (5 s ) ã€ã®ã‚ˆã†ãªã‚¨ãƒ©ãƒ¼ãƒ¡ãƒƒã‚»ãƒ¼ã‚¸ãŒã‚³ãƒ³ã‚½ãƒ¼ãƒ«ã«è¡¨ç¤ºã•ã‚Œã‚‹ã€‚ã“ã®ã‚ˆã†ãªå ´åˆã¯ä½œæ¥ãƒ‡ã‚£ãƒ¬ã‚¯ãƒˆãƒªã®è¨å®šãªã©ã‚’確èªã—ã¦ã„ãŸã ããŸã„。ã“ã®å¾…ã¡æ™‚é–“ã«ã¤ã„ã¦ã¯ï¼ŒWaitオプションã§è¨å®šã™ã‚‹ã“ã¨ã‚‚ã§ãる。\\ + +\begin{description} + +\hypertarget{calcbyS}{} +\item[関数] CalcbyS(name,コマンド,option) +\item[機能] Scilabã®ã‚³ãƒžãƒ³ãƒ‰ã‚¹ã‚¯ãƒªãƒ—トを実行ã™ã‚‹ +\item[説明] 第2引数ã¯Scilabã§å®Ÿè¡Œã™ã‚‹ã‚³ãƒžãƒ³ãƒ‰ã®ãƒªã‚¹ãƒˆã€‚\\ + \\ +\hypertarget{plotdataS}{} +\item[関数] PlotdataS(name,関数,変数) +\item[機能] Plotdataã¨åŒæ§˜ã®æ›¸å¼ã§ï¼ŒScilabã®é–¢æ•°ã‚’実行ã™ã‚‹ +\item[説明] Cindyscriptã®çµ„込関数ã«ãªã„関数ã®ã‚°ãƒ©ãƒ•ã‚’æãã“ã¨ãŒã§ãる。\\ + \\ +例:ベッセル関数ã®ã‚°ãƒ©ãƒ•ã‚’æã +\begin{verbatim} +  PlotdataS("1","besselj(1,x)","x"); +\end{verbatim} + +\end{description} +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} +\newpage +% Risa/Asirã¨ã®é€£æºã€€================================== +\subsection{Risa/Asirã¨ã®é€£æº} + +\begin{description} + +\hypertarget{calcbyA}{} +\item[関数] CalcbyA(name,コマンド,option) +\item[機能] Risa/Asirã®ã‚¹ã‚¯ãƒªãƒ—トを実行ã™ã‚‹ +\item[説明] 第2引数ã¯Risa/Asirã§å®Ÿè¡Œã™ã‚‹ã‚³ãƒžãƒ³ãƒ‰ã€‚\\ + コマンドã¨å¼•æ•°ãƒªã‚¹ãƒˆã®ç¹°ã‚Šè¿”ã—ã‹ã‚‰ãªã‚‹ãƒªã‚¹ãƒˆï¼ˆä¾‹ãˆã°cmdL)を作ã£ã¦ï¼Œä¸€åº¦ã«å®Ÿè¡Œã™ã‚‹ã€‚\\ + 戻り値ã¯ãªã„。(未定義値) çµæžœã¯ï¼Œã‚³ãƒžãƒ³ãƒ‰ãƒªã‚¹ãƒˆã®æœ€å¾Œã«è¨˜è¿°ã—ãŸå¤‰æ•°ï¼ˆå¼•æ•°ã¯ç©ºãƒªã‚¹ãƒˆï¼‰ã®å€¤ãŒname ã§æŒ‡å®šã•ã‚ŒãŸå¤‰æ•°ã«ä»£å…¥ã•ã‚Œã‚‹ã€‚複数ã®çµæžœã‚’戻ã™ã¨ãã¯ï¼Œ:: ã§åŒºåˆ‡ã£ã¦è¨˜è¿°ã™ã‚‹ã¨ãƒªã‚¹ãƒˆã«ã—ã¦ä»£å…¥ã•ã‚Œã‚‹ã€‚\\ + +\hypertarget{asirfun}{} +\item[関数] Asirfun(name,å¼ï¼Œãƒªã‚¹ãƒˆï¼Œoption) +\item[機能] Risa/Asirã®é–¢æ•°ã‚’実行ã™ã‚‹ +\item[説明] 第2引数ã®ã€Œå¼ã€ã¯Risa/Asirã®é–¢æ•°å。第3引数ã®ãƒªã‚¹ãƒˆã¯é–¢æ•°ã«æ¸¡ã™å¼•æ•°ã®ãƒªã‚¹ãƒˆã€‚\\ + 戻り値ã¯ï¼Œç¬¬ï¼‘引数ã®å¼ã«ï¼‘ã¤ã§ã‚‚æ–‡å—ãŒã‚ã‚‹ã¨æ–‡å—列ã¨ãªã‚‹ã€‚ã™ã¹ã¦æ•°å—(+,-, . ã‚’å«ã‚€ï¼‰ã®å ´åˆã¯ +16æ¡ä»¥ä¸‹ã§ã‚ã‚Œã°æ•°ï¼Œãれ以上ã®å ´åˆã¯æ–‡å—列ã¨ãªã‚‹ã€‚ã¾ãŸï¼Œæˆ»ã‚Šå€¤ã¯ï¼Œå¤‰æ•° asname ã«ã‚‚代入ã•ã‚Œã‚‹ã€‚\\ +オプション㫠"Disp=no" ã‚’ã¤ã‘ã‚‹ã¨ï¼Œçµæžœã‚’コンソールã«è¡¨ç¤ºã—ãªã„。\\ + +\end{description} +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} +\newpage +% FriCASã¨ã®é€£æºã€€================================== +\subsection{FriCAS(Axiom)ã¨ã®é€£æº} + +\begin{description} + +\hypertarget{calcbyF}{} +\item[関数] CalcbyF(name,コマンド,option) +\item[機能] FriCASã®ã‚¹ã‚¯ãƒªãƒ—トを実行ã™ã‚‹ +\item[説明] 第2引数ã¯FriCASã§å®Ÿè¡Œã™ã‚‹ã‚³ãƒžãƒ³ãƒ‰ã€‚\\ + コマンドã¨å¼•æ•°ãƒªã‚¹ãƒˆã®ç¹°ã‚Šè¿”ã—ã‹ã‚‰ãªã‚‹ãƒªã‚¹ãƒˆï¼ˆä¾‹ãˆã°cmdL)を作ã£ã¦ï¼Œä¸€åº¦ã«å®Ÿè¡Œã™ã‚‹ã€‚\\ + 戻り値ã¯ãªã„。(未定義値) çµæžœã¯ï¼Œã‚³ãƒžãƒ³ãƒ‰ãƒªã‚¹ãƒˆã®æœ€å¾Œã«è¨˜è¿°ã—ãŸå¤‰æ•°ï¼ˆå¼•æ•°ã¯ç©ºãƒªã‚¹ãƒˆï¼‰ã®å€¤ãŒname ã§æŒ‡å®šã•ã‚ŒãŸå¤‰æ•°ã«ä»£å…¥ã•ã‚Œã‚‹ã€‚複数ã®çµæžœã‚’戻ã™ã¨ãã¯ï¼Œ:: ã§åŒºåˆ‡ã£ã¦è¨˜è¿°ã™ã‚‹ã¨ãƒªã‚¹ãƒˆã«ã—ã¦ä»£å…¥ã•ã‚Œã‚‹ã€‚\\ + +\hypertarget{frfun}{} +\item[関数] Frfun(name,å¼ï¼Œãƒªã‚¹ãƒˆï¼Œoption) +\item[機能] FriCASã®é–¢æ•°ã‚’実行ã™ã‚‹ +\item[説明] 第2引数ã®ã€Œå¼ã€ã¯FriCASã®é–¢æ•°å。第3引数ã®ãƒªã‚¹ãƒˆã¯é–¢æ•°ã«æ¸¡ã™å¼•æ•°ã®ãƒªã‚¹ãƒˆã€‚\\ + 戻り値ã¯ï¼Œç¬¬ï¼‘引数ã®å¼ã«ï¼‘ã¤ã§ã‚‚æ–‡å—ãŒã‚ã‚‹ã¨æ–‡å—列ã¨ãªã‚‹ã€‚ã™ã¹ã¦æ•°å—(+,-, . ã‚’å«ã‚€ï¼‰ã®å ´åˆã¯ +16æ¡ä»¥ä¸‹ã§ã‚ã‚Œã°æ•°ï¼Œãれ以上ã®å ´åˆã¯æ–‡å—列ã¨ãªã‚‹ã€‚ã¾ãŸï¼Œæˆ»ã‚Šå€¤ã¯ï¼Œå¤‰æ•° friname ã«ã‚‚代入ã•ã‚Œã‚‹ã€‚\\ +オプション㫠"Disp=no" ã‚’ã¤ã‘ã‚‹ã¨ï¼Œçµæžœã‚’コンソールã«è¡¨ç¤ºã—ãªã„。\\ + +\end{description} +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} + +\newpage +% 表計算ソフトã¨ã®é€£æºã€€================================== +\subsection{表計算ソフトã¨ã®é€£æº} + 表計算ソフトã§ã¯ï¼Œè¤‡æ•°ã®ã‚»ãƒ«ã‚’é¸æŠžã—ã¦ã‚³ãƒ”ー(Windowsã§ã¯ Crtl+ C ,Macã§ã¯ Command+C)ã™ã‚‹ã¨ï¼Œã‚»ãƒ«ã®å†…容ã¯tab区切りã®ãƒ†ã‚ストデータã¨ã—ã¦ã‚¯ãƒªãƒƒãƒ—ボードã«ã‚³ãƒ”ーã•ã‚Œã‚‹ã€‚ã“れをCindyscriptエディタã«ãƒšãƒ¼ã‚¹ãƒˆã™ã‚‹ã“ã¨ã§è¡¨è¨ˆç®—ソフトã®ãƒ‡ãƒ¼ã‚¿ã‚’KeTCindyã§åˆ©ç”¨ã§ãる。逆ã«ï¼ŒCindyscriptã®ã‚³ãƒ³ã‚½ãƒ¼ãƒ«ã¸ã®å‡ºåŠ›ã‚’表計算ソフトã®ã‚·ãƒ¼ãƒˆã«ã‚³ãƒ”ーã™ã‚‹ã“ã¨ã‚‚ã§ãる。 + +\begin{description} +\hypertarget{tab2list}{} +\item[関数] Tab2list(str,option) +\item[機能] str ã®å†…容をリストã«å¤‰æ›ã™ã‚‹ +\item[説明] tab区切りã«ãªã£ã¦ã„ã‚‹æ–‡å—列 str をリストã«å¤‰æ›ã™ã‚‹ã€‚\\ + optionã¯ï¼ŒNULLã®ã‚»ãƒ«ã®ç½®ãæ›ãˆã€‚リストã§è¡¨ã™ã€‚デフォルトã¯[0]。\\ +次ã®ã‚ˆã†ãªæ‰‹é †ã§è¡¨è¨ˆç®—ソフトã‹ã‚‰ãƒ‡ãƒ¼ã‚¿ã‚’KeTCindyã«å†™ã™ã“ã¨ãŒã§ãる。\\ + \\ +(1) 表計算ソフトã§ï¼Œé©å½“ãªç¯„囲を指定ã—クリップボードã«ã‚³ãƒ”ーã™ã‚‹ã€‚\\ + Windowsãªã‚‰ Ctrl+C,Macãªã‚‰ Command+C\\ + \\ +\includegraphics[bb=0 0 742 308 , width=8cm]{Fig/tab2list01.png}\\ + \\ +(2) Cindyscriptエディタã§ï¼Œé©å½“ãªæ–‡å—変数を用æ„ã™ã‚‹ã€‚\\ + ãŸã¨ãˆã°ï¼Œdata="";\\ + \\ +\includegraphics[bb=0 0 858 298 , width=10cm]{Fig/tab2list02.png}\\ + \\ +(3) ã“ã“ã«ãƒšãƒ¼ã‚¹ãƒˆã™ã‚‹ã¨ï¼Œæ–‡å—列ã«ã‚³ãƒ”ーã•ã‚Œã‚‹ã€‚\\ + もã—,å³ã®ã‚ˆã†ã«ãªã£ãŸã‚‰ï¼ˆè¡¨è¨ˆç®—ソフトã«ã‚ˆã‚Šã¾ã™ï¼‰å·¦ã®ã‚ˆã†ã«ï¼Œæœ€å¾Œã® "" ã®å‰ã§æ”¹è¡Œã—ã¦ãŠã。\\ + \\ +\includegraphics[bb=0 0 748 276 , width=6cm]{Fig/tab2list001.png} \includegraphics[bb=0 0 738 236 , width=6cm]{Fig/tab2list00.png}\\ + + \\ +(4) ã“ã®æ–‡å—変数 data ã«å¯¾ã—,Tab2list(data) を実行ã™ã‚‹ã¨ï¼Œè¡Œåˆ—を表ã™ãƒªã‚¹ãƒˆãŒè¿”ã•ã‚Œã‚‹ã€‚\\ + ã“れをé©å½“ãªå¤‰æ•°ã«ä»£å…¥ã—,作表コマンドã§è¡¨ã«ã™ã‚‹ãªã©ï¼Œç›®çš„ã«å¿œã˜ã¦åˆ©ç”¨ã™ã‚‹ã€‚\\ + 数値ã ã‘ãªã‚‰è¡Œåˆ—ã¨ã—ã¦è¨ˆç®—ã‚‚ã§ãる。\\ + \\ +\includegraphics[bb=0 0 1245 457 , width=10cm]{Fig/tab2list03.png} + +\hypertarget{dispmat}{} +\item[関数] Dispmat(list) +\item[機能] リストを行列ã®å½¢ã§tab区切りã«ã—ã¦ã‚³ãƒ³ã‚½ãƒ¼ãƒ«ã«è¡¨ç¤ºã™ã‚‹ã€‚ +\item[説明] 行列を表ã™ãƒªã‚¹ãƒˆ (ãŸã¨ãˆã° dlist) を引数ã¨ã—ã¦Dispmat(dlist) を実行ã™ã‚‹ã¨ï¼Œã‚³ãƒ³ã‚½ãƒ¼ãƒ«ã«è¡Œåˆ—åž‹ã§å†…容ãŒè¡¨ç¤ºã•ã‚Œã‚‹ã€‚\\ + 実際ã«ã¯TAB区切りã®æ–‡å—列。(println ã¨ã—ãªãã¦ã‚‚直接コンソールã«è¡¨ç¤ºã•ã‚Œã‚‹ï¼‰\\ + ã“れを表計算ソフトã®ã‚·ãƒ¼ãƒˆã«ã‚³ãƒ”ーã™ã‚‹ã€‚\\ + \\ +\includegraphics[bb=0 0 855 395 , width=8cm]{Fig/tab2list04.png}\ + +\end{description} +\newpage +% MeshLabã¨ã®é€£æºã€€================================== +%\subsection{MeshLabã¨ã®é€£æº} + +% アニメーション ================================== +\section{アニメーションPDF:KeTCindymv} +\subsection{概è¦} +アニメーションã®ã§ãã‚‹PDFを作る。 + +Cinderellaã®ä½œå›³æ©Ÿèƒ½ã¨Cindyscriptを用ã„ã¦ã‚¢ãƒ‹ãƒ¡ãƒ¼ã‚·ãƒ§ãƒ³ãŒã§ãã‚‹ãŒï¼ŒPDFã«ã™ã‚‹ã“ã¨ã§CinderellaãŒãªãã¦ã‚‚PDFビュアーãŒã‚ã‚Œã°ã‚¢ãƒ‹ãƒ¡ãƒ¼ã‚·ãƒ§ãƒ³ã‚’実行ã§ãã‚‹ã®ã§ï¼Œãƒ—レゼンテーションや教æã®å—ã‘渡ã—ãªã©ã«ä¾¿åˆ©ã§ã‚る。 + +KeTCindymvã®ç”»é¢ã¯æ¬¡ã®ã‚ˆã†ã«ãªã£ã¦ã„る。(templatemv.cdy)\\ + \\ +  \includegraphics[bb=0 0 1594 710 , width=12cm]{Figmv/mvgaiyou01.png} + +ç”»é¢ä¸Šæ–¹ã®ãƒœã‚¿ãƒ³ã«ã¯ï¼Œæ¬¡ã®ã‚ˆã†ãªã‚¹ã‚¯ãƒªãƒ—トãŒå‰²ã‚Šå½“ã¦ã‚‰ã‚Œã¦ã„ã‚‹ã®ã§ï¼Œãƒœã‚¿ãƒ³ã‚’自作ã™ã‚‹ã“ã¨ã‚‚ã§ãる。 + +\begin{tabbing} + 12345678978\=1234567897890123\=\kill + Texview \>: Viewtex(); \>ç¾åœ¨ã®ç”»é¢ã®PDFデータを作る\\ + TexMv  \>: Texmovie(); \>アニメーションPDFデータを作る\\ + Texpara \>: Texpara(); \>フレームã«åˆ†å‰²ã—ãŸPDFデータを作る\\ + Exekc  \>: kc(); \>ãƒãƒƒãƒãƒ•ã‚¡ã‚¤ãƒ«ã‚’実行ã™ã‚‹ +\end{tabbing} + +アニメーションã®ä½œæˆã¯ï¼Œãƒ•ãƒ¬ãƒ¼ãƒ を定義ã™ã‚‹é–¢æ•°ã‚’作æˆã—,Moviedata() 関数を実行ã™ã‚‹ã€‚実行後,TexMv,Exekc ã®ãƒœã‚¿ãƒ³ã‚’é †ã«æŠ¼ã™ã“ã¨ã§ï¼ŒFhead+"moviefigs.tex" 㨠Fhead+"moviemain.tex",Fhead+"moviemain.pdf" ãŒç”Ÿæˆã•ã‚Œã¦è¡¨ç¤ºã•ã‚Œã‚‹ã€‚ãŸã¨ãˆã°ï¼ŒFhead ㌠"abc" ã®å ´åˆï¼ŒTeX ã®æ–‡æ›¸ã«ã¯\\ +     \verb|\input{abcmoviefigs.tex}|\\ +ã§å‹•ç”»ã‚’挿入ã™ã‚‹ã“ã¨ãŒã§ãる。 + +ãŸã ã—,動画ã®ã§ãã‚‹PDFを作æˆã™ã‚‹ã«ã¯ï¼Œãƒ‰ã‚ュメントクラスã¨ä½¿ç”¨ãƒ‘ッケージã«ã¤ã„ã¦æ³¨æ„ãŒå¿…è¦ã§ã‚る。 + +ドã‚ュメントクラスã¯ï¼Œarticle ã¾ãŸã¯ jarticle ã¨ã™ã‚‹ã€‚jsarticle ã¯ä½¿ãˆãªã„。 + +パッケージ㯠animate ã« dvipdfmx オプションをã¤ã‘る。\\ +      \verb|\usepackage[dvipdfmx]{animate}| + +ã¾ãŸï¼Œã‚¢ãƒ‹ãƒ¡ãƒ¼ã‚·ãƒ§ãƒ³PDFã§ã‚¢ãƒ‹ãƒ¡ãƒ¼ã‚·ãƒ§ãƒ³ã‚’è¡Œã†ã«ã¯Adobe Acrobat Reader ãªã©ï¼Œã‚¢ãƒ‹ãƒ¡ãƒ¼ã‚·ãƒ§ãƒ³ã«å¯¾å¿œã—ãŸPDFリーダーãŒå¿…è¦ã§ã‚る。Windowsã®SumatraPDF,Mac㮠プレビューã§ã¯å‹•ã‹ãªã„。\\ + +次ã«ï¼ŒTexpara,Exekc ã®ãƒœã‚¿ãƒ³ã‚’é †ã«æŠ¼ã™ã“ã¨ã§ï¼Œãƒ•ãƒ¬ãƒ¼ãƒ ã«åˆ†å‰²ã—㟠Fhead+"parafigs.tex" 㨠Fhead+"paramain.tex" ,Fhead+"paramain.pdf" ãŒç”Ÿæˆã•ã‚Œã¦è¡¨ç¤ºã•ã‚Œã‚‹ã€‚ã“ã®å›³ã‚’利用ã™ã‚‹ã«ã¯ãƒ‘ッケージã®æŒ‡å®šãŒã‚„ã‚„é¢å€’ã§ã‚る。 Fhead+"mvparamain.tex" ã‚’å‚ç…§ã•ã‚ŒãŸã„。 \\ + +ç”»é¢ä¸‹æ–¹ã®ã‚¹ãƒ©ã‚¤ãƒ€ã«ã‚ˆã‚Šã‚¢ãƒ‹ãƒ¡ãƒ¼ã‚·ãƒ§ãƒ³ã®é€”ä¸å›³ã‚’æãã“ã¨ãŒã§ãる。Texview 㨠Exekc ボタンã«ã‚ˆã‚Šãã®å›³ã®ãƒ•ã‚¡ã‚¤ãƒ«ãŒä½œæˆã•ã‚Œã‚‹ã€‚ + + +\subsection{è¨å®š} +KeTCindymvã§ã¯ï¼ŒKeTCindyã¨è‹¥å¹²ç•°ãªã‚‹è¨å®šãŒå¿…è¦ã§ã‚る。 + +ã¾ãšï¼ŒInitialization スãƒãƒƒãƒˆã§ã¯ï¼ŒKeTCindy ã§\\ +  \verb|Shellfile="";|\\ +ã«ãªã£ã¦ã„ã‚‹ã®ã‚’\\ +  \verb| Shellfile="mv";|\\ +ã¨ã™ã‚‹ã€‚ + +次ã«ï¼ŒDraw スãƒãƒƒãƒˆã§ã¯ï¼Œæ¬¡ã®ã‚ˆã†ã« \verb|Ketinit();| ã«åŠ ãˆï¼Œ\verb|Ketinitmv();| ãŒå¿…è¦ã§ã‚る。ã¾ãŸï¼Œç”»é¢è¡¨ç¤ºã®ãŸã‚ã«ï¼Œ\verb|Windispg();| ã®ã‹ã‚ã‚Šã« \verb|Mvdispg();| を用ã„る。 +\begin{verbatim} + Fhead="templatemv"; + Texparent=""; + Ketinit(); + Ketinitmv(); + +  ã“ã“ã«ã‚¹ã‚¯ãƒªãƒ—トを書ã + + Mvdispg(); +\end{verbatim} +ãªãŠï¼Œã²ãªãŒãŸã® templatemv.cdy ã§ã¯ã“ã®è¨å®šãŒã™ã§ã«ã—ã¦ã‚る。 + +\newpage +\subsection{æç”»} +\begin{description} + +\hypertarget{moviedata}{} +\item[関数] Moviedata(str1,str2,options) +\item[機能] アニメーションデータを作る +\item[説明] str1 ã¯ã‚¢ãƒ‹ãƒ¡ãƒ¼ã‚·ãƒ§ãƒ³ã‚’定義ã™ã‚‹é–¢æ•°åã‚’æ–‡å—列ã¨ã™ã‚‹ã€‚str2 ã¯å®šç¾©åŸŸã€‚\\ + optionsã¯ï¼ŒCut 㨠Div \\ + Cut : 1秒ã®ãƒ•ãƒ¬ãƒ¼ãƒ 数。åˆæœŸå€¤ã¯20。\\ + Civ : 全体ã®ãƒ•ãƒ¬ãƒ¼ãƒ 数。åˆæœŸå€¤ã¯80。\\ + ã—ãŸãŒã£ã¦ï¼ŒåˆæœŸå€¤ã§ã¯4秒間ã®ã‚¢ãƒ‹ãƒ¡ãƒ¼ã‚·ãƒ§ãƒ³ã¨ãªã‚‹ã€‚\\ + \\ +ã€ä¾‹ã€‘定円上を動ã点Pã¨ï¼Œå®šç‚¹Aã‚’çµã¶ç·šåˆ†ã®ä¸ç‚¹ã‚’Qã¨ã—ã¦å‹•ãを見る。\\ +ã¾ãšï¼Œå®šå††ã‚’,原点ä¸å¿ƒã€åŠå¾„ï¼’ã¨ã—ã¦æã„ã¦ãŠã。\\ +アニメーションを定義ã™ã‚‹é–¢æ•°ã¯ï¼Œæ™‚é–“ã‚’ $t$ ã¨ã™ã‚Œã°ï¼Œæ™‚刻 $t$ ã«ãŠã‘る図(動ãã‚‚ã®ã ã‘)を定義ã™ã‚‹ã€‚時刻ã¯å˜ãªã‚‹åª’介変数ã§ã‚ã‚‹ã®ã§ï¼Œ$t$ ã§ãªã $s$ ãªã©ã§ã‚‚よã„。 +\begin{verbatim} + Mf(t):=( +  pt=2*[cos(t),sin(t)]; +  Listplot("2",[[4,0],pt]); +  Pointdata("2",mid(pt,[4,0])); +  Letter([[4,0],"s","A",pt,"en","P",mid(pt,[4,0]),"ne","Q"]); + ); +\end{verbatim} +ã“ã“ã§ï¼Œ\verb|Mf(t)| ã®ä¸ã§ä½¿ã£ã¦ã„るユーザー定義関数\verb|mid()| ã¯ï¼Œç«¯ç‚¹ã‚’引数ã¨ã—ã¦ç·šåˆ†ã®ä¸ç‚¹ã‚’è¿”ã™ã‚‚ã®ã§ï¼Œ\\ +  \verb|mid(p1,p2):=(p1+p2)/2;|\\ +ã¨ã—ã¦å®šç¾©ã—ã¦ãŠã。\\ +ã¾ãŸï¼Œç‚¹ã®å¤§ãã•ã‚’é©å®œè¨å®šã—ã¦ãŠã。\\ +以上ã®æº–å‚™ã®å¾Œï¼Œ\\ +  \verb|Moviedata("Mf(t)","t=[0,2*pi]");|\\ +を実行ã™ã‚‹ã€‚\\ +ã“ã“ã§ã¯ï¼Œè§’度を媒介変数ã¨ã—ã¦ã„ã‚‹ã®ã§ï¼Œæ™‚é–“ã®$t$ ã§ãªã$s$ ã¨ã—ã¦\\ +  \verb|Moviedata("Mf(s)","s=[0,2*pi]");|\\ +ã¨ã—ã¦ã‚‚よã„。\\ +次ã®ã‚ˆã†ã«ã‚ªãƒ—ションを指定ã™ã‚‹ã¨ï¼Œ5秒間ã®ã‚¢ãƒ‹ãƒ¡ãƒ¼ã‚·ãƒ§ãƒ³ã¨ãªã‚‹ã€‚\\ +  \verb|Moviedata("Mf(s)","s=[0,2*pi]",["Div=50","Cut=10"]);|\\ +\verb|["Div=150","Cut=30"]|ã¨ã™ã‚‹ã¨ï¼Œã‚„ã¯ã‚Š5秒間ã®ã‚¢ãƒ‹ãƒ¡ãƒ¼ã‚·ãƒ§ãƒ³ã¨ãªã‚‹ãŒï¼Œ1秒間ã®ãƒ•ãƒ¬ãƒ¼ãƒ æ•°ãŒå¤šã„ãŸã‚ãªã‚らã‹ãªå‹•ãã¨ãªã‚‹ã€‚ビデオã®ãƒ•ãƒ¬ãƒ¼ãƒ レートã§ã‚る。ãŸã ã—,ファイルサイズã¯ç´„3å€ã¨ãªã‚‹ã€‚\\ +Cinderellaã®ç”»é¢ã¯æ¬¡ã®ã‚ˆã†ã«ãªã‚‹ã€‚\\ + \\ +  \includegraphics[bb=0 0 1054 706 , width=8cm]{Figmv/moviedata01.png}\\ + \\ +TexMvボタン ã¾ãŸã¯ TexParaボタンを押ã™ã¨ç”»é¢ä¸Šã§ã‚‚アニメーションãŒå®Ÿè¡Œã•ã‚Œã‚‹ã€‚ãã®å¾Œ Exekc ボタンを押ã™ã¨ãƒ•ã‚¡ã‚¤ãƒ«ãŒä½œæˆã•ã‚Œã‚‹ã€‚ + +ã“ã®å›³ã§ã¯ï¼Œç‚¹ãŒæ˜Žç¤ºã•ã‚Œã‚‹ã®ã¯ Q ã ã‘ã§ã‚る。A,Pã¨ã‚‚点を明示ã™ã‚‹å ´åˆã®ã‚¹ã‚¯ãƒªãƒ—トã®å…¨ä½“を示ã—ã¦ãŠã。 +\begin{verbatim} + Fhead="mid"; + Texparent=""; + Ketinit(); + Ketinitmv(); + mid(p1,p2):=(p1+p2)/2; + Circledata("1",[[0,0],[2,0]]); + Ptsize(4); + Pointdata("1",[4,0]); + Mf(t):=( +  pt=2*[cos(t),sin(t)]; +  Listplot("2",[[4,0],pt]); +  Pointdata("2",pt); +  Pointdata("3",mid(pt,[4,0])); +  Letter([[4,0],"s","A",pt,"en","P",mid(pt,[4,0]),"ne","Q"]); + ); + Moviedata("Mf(s)","s=[0,2*pi]",["Div=30","Cut=10"]); + Mvdispg(); +\end{verbatim} +\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} + +\end{description} + +\newpage + + +%== 3D =============== +\section{\ketcindy 3D} +\subsection{概è¦} +\ketcindy 3Dã®ç”»é¢ã¯æ¬¡ã®ã‚ˆã†ã«æ§‹æˆã•ã‚Œã‚‹ã€‚ + +Cinderellaã®æç”»é¢ã«ï¼Œç™½ã®çŸ©å½¢ã§å›²ã‚“ã é ˜åŸŸãŒï¼’ã¤ã§ãる。NE,SWを対角ã¨ã™ã‚‹å·¦å´ã®é ˜åŸŸã‚’主画é¢ï¼Œå³å´ã®é ˜åŸŸã‚’副画é¢ã¨ã„ã†ã€‚\\ + +      \includegraphics[bb=0 0 1776 998 , width=8cm]{Fig3d/3dstart.png}\\ + +主画é¢ã¯å¹³é¢ã®å ´åˆã¨åŒæ§˜ï¼ŒTeXã«å‡ºåŠ›ã•ã‚Œã‚‹ç¯„囲を示ã—,NE,SWã®ï¼’点をドラッグã™ã‚‹ã“ã¨ã«ã‚ˆã‚Šå¤‰æ›´ã§ãる。 + +副画é¢ã¯ï¼ŒStart3d() 関数ã«ã‚ˆã‚Šä½œæˆã•ã‚Œã‚‹ã€‚座標軸ã¯ï¼ŒXyzax3data() 関数ã«ã‚ˆã£ã¦æãã“ã¨ãŒã§ãる。主画é¢ã®ä¸‹æ–¹ã®ã‚¹ãƒ©ã‚¤ãƒ€ã§è¦–点ãŒç§»å‹•ã§ã,主画é¢ä¸Šã§ã¯è»¸ãŒå›žè»¢ã™ã‚‹ã€‚副画é¢ã¯ï¼Œxyå¹³é¢ä¸Šã«è¦–点を置ã„ãŸã‚‚ã®ã¨è€ƒãˆã‚Œã°ã‚ˆã„。 + +主画é¢ä¸Šã«Cinderellaã®ä½œå›³ãƒ„ールã§ç‚¹ã‚„線分を作図ã™ã‚‹ã¨ï¼ŒStart3d() 関数ã«ã‚ˆã‚Šå‰¯ç”»é¢ã«å¯¾å¿œã™ã‚‹ç‚¹ãŒä½œå›³ã•ã‚Œã‚‹ã€‚主画é¢ä¸Šã®ç‚¹ã‚’ドラッグã™ã‚‹ã¨x,y座標を変更ã§ã,副画é¢ä¸Šã®ç‚¹ã‚’ドラッグã™ã‚‹ã¨z座標を変更ã§ãる。空間内ã®ç‚¹ã¯ï¼ŒPutpoint3d()関数ã«ã‚ˆã£ã¦åº§æ¨™ã‚’指定ã—ã¦ä½œæˆã™ã‚‹ã“ã¨ã‚‚ã§ãる。次ã®ã‚ˆã†ãªå›³ã¯Cinderellaã®ä½œå›³ãƒ„ールã ã‘ã§ã‚‚作るã“ã¨ãŒã§ãã‚‹ã—,Putpoint3d()関数を用ã„ã¦ã‚‚作るã“ã¨ãŒã§ãる。\\ + +  \includegraphics[bb=0 0 1892 840 , width=10cm]{Fig3d/3dscreen.png}\\ + +主画é¢ã¨å‰¯ç”»é¢ã®å¯¾å¿œã™ã‚‹ç‚¹ã‚’ドラッグã™ã‚‹ã“ã¨ã«ã‚ˆã‚Šï¼Œã‚¤ãƒ³ã‚¿ãƒ©ã‚¯ãƒ†ã‚£ãƒ–ã«å›³å½¢ã‚’æãã“ã¨ãŒã§ãã‚‹ãŒã€å®Ÿéš›ã«ã¯æ画関数を用ã„ã¦å›³å½¢ã‚’æã,スライダã§è¦–点を変ãˆã¦è¦‹ã‚„ã™ã„図をTeXã«å‡ºåŠ›ã™ã‚‹ã“ã¨ã«ãªã‚‹ã ã‚ã†ã€‚ + +KeTCindy3Dã§ã¯ï¼Œç‚¹ãƒ»ç›´ç·šãƒ»æ›²ç·šãƒ»é¢ã®æ画をæ画関数を用ã„ã¦è¡Œã†ã“ã¨ãŒã§ãる。線やé¢ã«ã¤ã„ã¦ã¯é™°ç·šå‡¦ç†ã‚’è¡Œã„,立体的ãªå›³ã‚’作æˆã™ã‚‹ã“ã¨ãŒã§ãる。ã—ã‹ã—,陰線処ç†ã¯å‡¦ç†ã«ã‹ãªã‚Šã®æ™‚é–“ãŒã‹ã‹ã‚‹ã®ã§ï¼ŒCindyscriptã§ã¯ãªãScilabã§è¡Œã£ã¦ã„ã‚‹ãŒï¼Œãã‚Œã§ã‚‚相当時間ãŒã‹ã‹ã‚‹ã“ã¨ã‚’覚悟ã—ãªã‘ã‚Œã°ãªã‚‰ãªã„。Scilabã§ã®è¨ˆç®—ã¯ï¼Œãƒãƒƒãƒãƒ•ã‚¡ã‚¤ãƒ«/シェルファイルã§è¡Œã£ã¦ã„ã‚‹ãŒï¼ŒCindyscriptã§ã¯ãã®è¨ˆç®—çµæžœãŒå‡ºã‚‹ã®ã‚’å¾…ã¤ãŸã‚一時的ã«åå¿œãŒãªããªã‚‹ã€‚ã—ãŸãŒã£ã¦ï¼Œåå¿œãŒãªããªã£ã¦ã‚‚ãƒãƒ³ã‚°ã‚¢ãƒƒãƒ—ã§ã¯ãªã„ã®ã§ï¼ŒCinderellaを強制終了ã—ãªã„よã†ã«ã€‚ + +一例を示ã™ã¨ï¼Œçƒé¢ã‚’メッシュ入りã§åº§æ¨™è»¸ã¨ã¨ã‚‚ã«é™°ç·šå‡¦ç†ã—ã¦æã„ãŸå ´åˆï¼Œæ¬¡ã®ã‚ˆã†ãªå›³ãŒç”»é¢ã«è¡¨ç¤ºã•ã‚Œã‚‹ã¾ã§ã®æ™‚é–“ã¯ï¼ŒMacBookPro13' (Late 2013) Core i7 2.8GHz 8GB (OSX 10.11.6) ã®å ´åˆã§ç´„124秒ã§ã‚ã£ãŸã€‚スクリプト㯠\hyperlink{wireparadata}{Wireparadata() } ã®ä¾‹ã‚’å‚ç…§ã•ã‚ŒãŸã„。\\ +            \input{Fig3d/wirepara4}  + +\newpage +\subsection{è¨å®šãƒ»å®šç¾©} + +\begin{description} + +\hypertarget{ketinit3d}{} +\item[関数] Ketinit3d() +\item[機能] KeTCindy3Dã®ä½¿ç”¨å®£è¨€ +\item[説明] Cinderellaã®ç”»é¢ã‚’3Dモードã«ã™ã‚‹ã€‚\\ + Cinderellaã®æç”»é¢ã«ï¼Œè¦–点移動ã®ãŸã‚ã®ï¼’ã¤ã®ã‚¹ãƒ©ã‚¤ãƒ€ã‚’作る。スライダã¯åˆæœŸä½ç½®ãŒå·¦ç«¯ã«ãªã‚‹ã€‚\\ + KeTCindyã®ä½¿ç”¨å®£è¨€ Ketinit() ã¨ã¨ã‚‚ã«ç”¨ã„ã‚‹ãŒï¼Œã“ã®é–¢æ•°ã¯ä¸€åº¦ã ã‘実行ã™ã‚Œã°ã‚ˆã„ã®ã§ï¼Œé€šå¸¸ã¯ Initialization スãƒãƒƒãƒˆã«ç½®ã。Ketinit() も,平é¢ã®å ´åˆã¨ç•°ãªã‚Š Initialization スãƒãƒƒãƒˆã«ç½®ã‘ã°ã‚ˆã„。ãŸã ã—,平é¢ã®é–¢æ•°ã‚’多用ã™ã‚‹å ´åˆã¯ï¼ŒKetinit() 㯠Drawスãƒãƒƒãƒˆã«æ›¸ã„ã¦ãŠãã€‚å ´åˆã«ã‚ˆã£ã¦å¤‰æ•°ã®åˆæœŸåŒ–ãªã©ãŒå¿…è¦ãªãŸã‚ã§ã‚る。KeTCindy3Dã«ãŠã‘る変数ã®åˆæœŸåŒ–ãªã©ã¯ï¼ŒStart3d()ã§è¡Œã‚れる。\\ + \\ + +\hypertarget{start3d}{} +\item[関数] Start3d() +\item[機能] 3Dã®ç”»é¢è¨å®šã¨ç©ºé–“点ã®èªè˜ +\item[説明] 副画é¢ã‚’作り,幾何点を3Dã®ç‚¹ã¨ã—ã¦èªè˜ã™ã‚‹ã€‚ã“ã®é–¢æ•°ã¯å¿…é ˆã§ï¼ŒDrawスãƒãƒƒãƒˆã®ã¯ã˜ã‚ã®æ–¹ã«ç½®ã。\\ + Cinderellaã®ä½œå›³ãƒ„ールã§ï¼Œç‚¹ãƒ»ç·šåˆ†ã‚’作図ã™ã‚‹ã¨ï¼Œå†…部関数㮠Ptseg3data() ã«ã‚ˆã£ã¦ãれらを空間ã®ç‚¹ã¨ã—ã¦èªè˜ã—,副画é¢ä¸Šã«å¯¾å¿œã™ã‚‹ç‚¹ã‚’ã¨ã‚‹ã€‚ãŸã ã—,始ã‚ã¯z座標をï¼ã¨ã™ã‚‹ã€‚点ã®åå‰ãŒAã§ã‚ã‚Œã°ï¼Œå‰¯ç”»é¢ä¸Šã®ç‚¹ã¯Azã¨ãªã‚‹ã€‚点をãƒã‚¤ãƒ³ãƒˆã—ã¦é¸æŠžã™ã‚‹ã¨å‰¯ç”»é¢ã®ä¸Šã«åº§æ¨™ãŒè¡¨ç¤ºã•ã‚Œã‚‹ã€‚\\ + 作図ã—ãŸç‚¹ã®å称をインスペクタã§å¤‰æ›´ã—ãŸå ´åˆï¼Œæ–°ã—ã„å称ã«å¯¾å¿œã™ã‚‹ç‚¹ã‚’副画é¢ä¸Šã«ä½œæˆã™ã‚‹ãŒï¼Œä»¥å‰ã®ç‚¹ã¯æ¶ˆãˆãªã„ã®ã§è¦æ³¨æ„。ãŸã¨ãˆã°ï¼Œç‚¹Aを作図ã—ãŸå¾Œï¼Œä¸»ç”»é¢ä¸Šã®ç‚¹Aをインスペクタã§ç‚¹Dã«å¤‰ãˆãŸå ´åˆï¼Œå‰¯ç”»é¢ä¸Šã«æ–°ãŸã«DzãŒã§ãã‚‹ãŒï¼Œä»¥å‰ã®Azも残る。残ã£ãŸAzã¯ï¼Œé¸æŠžã—ã¦ãŠã„ã¦ä½œå›³ãƒ„ールã®æ¶ˆåŽ»ãƒœã‚¿ãƒ³ \includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/delete.png}ã§æ¶ˆã™ã“ã¨ãŒã§ãる。\\ +\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} + +\end{description} +\newpage +\subsection{æç”»} +\begin{description} + +\hypertarget{bezier3d}{} +\item[関数] Bezier3d(name,リスト1,リスト2) +\item[機能] 空間ベジェ曲線をæã +\item[説明] 引数ã¯ãƒªã‚¹ãƒˆ1ãŒç«¯ç‚¹ãƒªã‚¹ãƒˆï¼Œãƒªã‚¹ãƒˆ2ãŒåˆ¶å¾¡ç‚¹ãƒªã‚¹ãƒˆ\\ + 1組ã®ç«¯ç‚¹ã«ã¤ã,2ã¤ã®åˆ¶å¾¡ç‚¹ã‚’使ã†ã€‚\\ + \\ +ã€ä¾‹ã€‘ã„ãã¤ã‹ã®ç‚¹ã‚’ベジェ曲線ã§çµã¶\\ + 端点A,Bã«å¯¾ã—,制御点をD,Eã¨ã™ã‚‹ã€‚\\ +  \verb|Bezier3d("1",["A","B"],["D","E"]);|  \\ + 端点A,Bã«å¯¾ã—,制御点をD,Eã¨ã—,端点BCã«å¯¾ã—制御点をE,Fã¨ã™ã‚‹ã€‚\\ +  \verb|Bezier3d("1",["A","B","C"],["D","E","E","F"]);|\\ + 端点A,Bã«å¯¾ã—,制御点をD,Eã¨ã—,端点BCã«å¯¾ã—制御点をF,Gã¨ã™ã‚‹ã€‚(図)\\ +  \verb|Bezier3d("1",["A","B","C"],["D","E","F","G"]);|\\ +  \input{Fig3d/bezier3d1} + +\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} + +\hypertarget{changstyle3d}{} +\item[関数] Changstyle3d(リスト,リスト) +\item[機能] 3Dプãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã®å±žæ€§ã‚’変更 +\item[説明] 第1引数ã®ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã®å±žæ€§ã‚’,第2引数ã«å¤‰æ›´ã™ã‚‹ã€‚\\ +ãŸã¨ãˆã°ï¼Œè£œåŠ©ç·šãªã©ï¼Œç”»é¢ã«ã¯æã„ã¦ã‚‚TeXã«æ›¸ã出ã•ãªã„ç·šã‚’æç”»ã™ã‚‹ã¨ãã¯ï¼Œoptionã«["notex"] ã‚’ã¤ã‘ã‚‹ãŒï¼Œã“れをã‚ã¨ã‹ã‚‰ä»˜åŠ ã—ãŸã„å ´åˆã«åˆ©ç”¨ã™ã‚‹ã€‚プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã¯ãƒªã‚¹ãƒˆã«ã§ãã‚‹ã®ã§ï¼Œè¤‡æ•°ã®ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã®å±žæ€§ã‚’ã¾ã¨ã‚ã¦å¤‰æ›´ã™ã‚‹ã“ã¨ãŒã§ãã¦ä¾¿åˆ©ã§ã‚る。\\ + \\ +ã€ä¾‹ã€‘ï¼”ã¤ã®ç‚¹ã§å››é¢ä½“ã®è¾ºã‚’æã,ã¾ã¨ã‚㦠notex ã«ã™ã‚‹ã€‚点A,B,C,Dã¯ã¨ã£ã¦ã‚ã‚‹ã‚‚ã®ã¨ã™ã‚‹ã€‚ +\begin{verbatim} + Spaceline("1",[A,B]); + Spaceline("2",[A,C]); + Spaceline("3",[B,C]); + Spaceline("4",[A,D]); + Spaceline("5",[B,D]); + Spaceline("6",[C,D]); + edges=apply(1..6,"sl3d"+text(#)); + Changestyle3d(edges,["notex"]); +\end{verbatim} + +\hypertarget{concatobj}{}   +\item[関数] Concatobj(リスト,option) +\item[機能] ã„ãã¤ã‹ã®objデータをçµåˆã™ã‚‹ +\item[説明] 多é¢ä½“ã®å„é¢ã®é ‚点リストã‹ã‚‰é¢ãƒ‡ãƒ¼ã‚¿ï¼ˆé ‚点リストã¨é¢ãƒªã‚¹ãƒˆï¼‰ã‚’作る。\\ + \\ +ã€ä¾‹ã€‘4点A,B,C,Dã‚’é ‚ç‚¹ã¨ã™ã‚‹å››é¢ä½“ã‚’æã。\\ + 四é¢ä½“ã¯ï¼”ã¤ã®é¢ã‹ã‚‰ãªã£ã¦ã„ã‚‹ã€‚é ‚ç‚¹ã‚’A,B,C,Dã¨ã™ã‚‹ã¨ï¼Œï¼”ã¤ã®é¢ã¯\\ +       △ABC,△ABD,△ACD,△BCD\\ + ã§ã‚る。\\ +    \input{Fig3d/concatobj}\\ + ãã“ã§\\ +  \verb|Concatobj([[A,B,C],[A,B,D],[A,C,D],[B,C,D]]);|\\ + ã¨ã™ã‚‹ã¨ï¼Œé¢ãƒ‡ãƒ¼ã‚¿ã€€[[A,B,C,D],[[1,2,3],[1,2,4],[1,3,4],[2,3,4]]]  ãŒè¿”ã•ã‚Œã‚‹ã€‚\\ + ã“ã®é¢ãƒ‡ãƒ¼ã‚¿ã‚’使ã£ã¦å››é¢ä½“ã‚’æãã“ã¨ãŒã§ãる。コード例ã¯ï¼Œ\hyperlink{vertexedgeface}{VertexEdgeFace()} ã‚’å‚ç…§ã®ã“ã¨ã€‚ + +\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} + +\hypertarget{crvsfparadata}{} +\item[関数] Crvsfparadata(name,PD1,PD2,å¼,options1,options2) +\item[機能] 曲線ã®æ›²é¢ã«ã‚ˆã‚‹é™°ç·šå‡¦ç† +\item[説明] 曲線PD1を表示ã™ã‚‹ã«ã‚ãŸã‚Šï¼Œæ›²é¢PD2ã«ã‚ˆã£ã¦éš れる部分をéžè¡¨ç¤ºã«ã™ã‚‹ã€‚\\ +通常ã¯æ›²é¢PD2も表示ã™ã‚‹ã®ã§ï¼ŒSfbdparadata() ã‚‚åŒæ™‚ã«ç”¨ã„ã‚‹ã“ã¨ã«ãªã‚‹ã€‚曲é¢ã‚’表示ã—ãªã‘ã‚Œã°ï¼Œæ›²ç·šã ã‘ãŒé™°ç·šå‡¦ç†ã•ã‚ŒãŸçŠ¶æ…‹ã§è¡¨ç¤ºã•ã‚Œã‚‹ã€‚\\ +第4引数ã®å¼ã¯ï¼ŒPD2ã‚’æããŸã‚ã®å¼ã€‚\\ +options1 ã«ã¯"r","m", "Wait=n" ãŒæŒ‡å®šã§ãる。Wait ã®åˆæœŸå€¤ã¯20\\ + "r","m"ã«é–¢ã—ã¦ã¯ï¼Œã‚ªãƒ—ションãªã—ã¾ãŸã¯ï¼Œâ€â€ ã®ã¨ã\\ +  i) データファイルãŒãªã‘ã‚Œã°ï¼Œæ–°ã—ã作る\\ +  ii) データファイルãŒæ—¢ã«ã‚ã‚Œã°ãれをèªã¿è¾¼ã‚€\\ + "m" ã®ã¨ã,強制的ã«ãƒ‡ãƒ¼ã‚¿ãƒ•ã‚¡ã‚¤ãƒ«ã‚’作り直ã™ã€‚\\ + "r" ã®ã¨ã,ã™ã§ã«ã‚るデータファイルをèªã¿è¾¼ã‚€ã€‚\\ +options2 ã«ã¯ 軸ã®é™°ç·šã®è¡¨ç¤ºã«ã¤ã„㦠"nodisp" ã¾ãŸã¯ç·šç¨®ãŒæŒ‡å®šã§ãる。デフォルト㯠"nodisp"。\\ +options2ã ã‘を指定ã—ãŸã„å ´åˆã¯ï¼Œoptions1 を空リスト [ ] ã«ã™ã‚‹ã€‚\\ + \\ +ã€ä¾‹ã€‘回転放物é¢ã¨åº§æ¨™è»¸ï¼Œç·šåˆ†ã‚’æã。\\ +デフォルトã§ã¯é™°ç·šã¯éžè¡¨ç¤ºã§ã‚る。(下図左) +\begin{verbatim} + Xyzax3data("","x=[-5,5]","y=[-5,5]","z=[-5,5]"); + Putpoint3d(["A",[0,-3,0],"B",[0,3,3]],"fix"); + Spaceline([A,B]); + fd=["z=4-(x^2+y^2)","x=R*cos(T)","y=R*sin(T)","R=[0,2]","T=[0,2*pi]","e"]; + Sfbdparadata("1",fd); + Crvsfparadata("1","AB3d","sfbd3d1",fd); + Crvsfparadata("2","ax3d","sfbd3d1",fd); +\end{verbatim} +options2ã«ç·šç¨®æŒ‡å®š ["do"] ã‚’ã¤ã‘ã‚‹ã¨ï¼Œé™°ç·šã¯ç‚¹ç·šã§è¡¨ç¤ºã•ã‚Œã‚‹ã€‚(下図å³ï¼‰ +\begin{verbatim} +Sfbdparadata("1",fd,[],["do"]); +Crvsfparadata("1","AB3d","sfbd3d1",fd,[],["do"]); +Crvsfparadata("2","ax3d","sfbd3d1",fd,[],["do"]); +\end{verbatim} + +    \input{Fig3d/crvsfparadata1}   \input{Fig3d/crvsfparadata2} + \\ +\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} + +\hypertarget{datalist}{}   +\item[関数] Datalist2d() +\item[機能] 画é¢ä¸Šã®ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã®ãƒªã‚¹ãƒˆã‚’å–å¾—ã™ã‚‹ +\item[説明] 画é¢ã«æã‹ã‚Œã¦ã„ã‚‹ã™ã¹ã¦ã®ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã®ãƒªã‚¹ãƒˆã‚’è¿”ã™ã€‚\\ +空間図形ã¯ï¼ŒCinderellaã®ç”»é¢ä¸Šã«å°„å½±ã—表示ã™ã‚‹ã€‚ãã®ãŸã‚,KeTCindy3Dã¯ï¼Œç©ºé–“ã«ãŠã‘るプãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã¨ï¼Œç”»é¢ä¸Šã«è¡¨ç¤ºã™ã‚‹ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã®ï¼’ã¤ã‚’作ã£ã¦ã„る。Datalist2d()ã§ã¯ï¼Œç”»é¢ä¸Šã«è¡¨ç¤ºã™ã‚‹ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã®ãƒªã‚¹ãƒˆã‚’è¿”ã™ã€‚\\ + \\ +ã€ä¾‹ã€‘ +\begin{verbatim} + Xyzax3data("","x=[-5,5]","y=[-5,5]","z=[-5,5]"); + Putpoint3d(["A",[0,-3,0],"B",[0,3,3]],"fix"); + Spaceline([A,B]); + println("PD="+Datalist2d()); +\end{verbatim} +ã¨ã™ã‚‹ã¨ï¼Œã‚³ãƒ³ã‚½ãƒ¼ãƒ«ã«ã€€PD=[ax2d,AB2d]  ã¨è¡¨ç¤ºã•ã‚Œã‚‹ã€‚ax2dã¯åº§æ¨™è»¸ã®ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ ax3d ã«ï¼ŒAB2d ã¯ç·šåˆ†ABã®ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ AB3d ã«å¯¾å¿œã—ã¦ã„る。\\ + \\ + +\hypertarget{datalist}{} +\item[関数] Datalist3d() +\item[機能] 空間ã®ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã®ãƒªã‚¹ãƒˆã‚’å–å¾—ã™ã‚‹ +\item[説明] 空間ã«æã‹ã‚Œã¦ã„ã‚‹ã™ã¹ã¦ã®ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã®ãƒªã‚¹ãƒˆã‚’è¿”ã™\\ + \\ +ã€ä¾‹ã€‘ +\begin{verbatim} + Xyzax3data("","x=[-5,5]","y=[-5,5]","z=[-5,5]"); + Putpoint3d(["A",[0,-3,0],"B",[0,3,3]],"fix"); + Spaceline([A,B]); + println("PD="+Datalist3d()); +\end{verbatim} +ã¨ã™ã‚‹ã¨ï¼Œã‚³ãƒ³ã‚½ãƒ¼ãƒ«ã«ã€€PD=[ax3d,AB3d]  ã¨è¡¨ç¤ºã•ã‚Œã‚‹ã€‚\\ + +\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} + +\hypertarget{dist3d}{} +\item[関数] Dist3d(a1,a2) +\item[機能] 空間ã®ï¼’点間ã®è·é›¢ã‚’返㙠+\item[説明] 引数a1,a2 ã¯ä½œå›³ç‚¹ã®å称,空間点ã®å称ã®ã„ãšã‚Œã§ã‚‚よã„。\\ +次ã®ï¼“通りã®è¨˜æ³•ã¯åŒã˜çµæžœã‚’è¿”ã™ã€‚æ··åœ¨ã‚‚å¯ +\begin{verbatim} + Dist3d("A","B"); + Dist3d(A,B); + Dist3d(A3d,B3d); +\end{verbatim} + \\ + +\hypertarget{drawpoint3d}{} +\item[関数] Drawpoint3d(座標) +\item[機能] 空間点をæã +\item[説明] 引数ã§ä¸ŽãˆãŸç©ºé–“座標ã®ç‚¹ã‚’æã。ã“ã®ç‚¹ã¯å¹¾ä½•ç‚¹ã§ã¯ãªã„。ã¾ãŸï¼ŒTeX ã«ã‚‚出力ã•ã‚Œãªã„。幾何点ã«ã™ã‚‹ã«ã¯ \hyperlink{putpoint3d}{Putpoint3d()} ã¨ç”¨ã„る。TeXã«ç‚¹ã‚’出力ã™ã‚‹ã«ã¯ï¼Œ\hyperlink{pointdata}{Pointdata()} ã¾ãŸã¯ \hyperlink{drwpt}{Drawpoint()} を用ã„る。\\ +引数ã¯ï¼Œåº§æ¨™ã®ãƒªã‚¹ãƒˆã«ã™ã‚‹ã“ã¨ã‚‚ã§ãる。\\ + \\ +ã€ä¾‹ã€‘ +\begin{verbatim} + Drawpoint3d([1,1,1]); + Drawpoint3d([[1,1,1],[0,1,0]]); +\end{verbatim} + \\ + +\hypertarget{embed}{} +\item[関数] Embed(name,PDリスト,å¼,変数リスト) +\item[機能] 2D図形ã®ç©ºé–“内平é¢ã¸åŸ‹ã‚込む +\item[説明] 第2引数ã¯ï¼’Dã®å›³å½¢ã®ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã®ãƒªã‚¹ãƒˆï¼Œå¼ã¨å¤‰æ•°ã¯å¹³é¢ã‚’記述ã™ã‚‹å¼ã¨å¤‰æ•°ã€‚å¹³é¢ã¯åŽŸç‚¹$vo$ã¨ï¼’ã¤ã®åŸºæœ¬ãƒ™ã‚¯ãƒˆãƒ« $\overrightarrow{vx},\overrightarrow{vy}$を用ã„ã¦ï¼Œ$vo+x \cdot \overrightarrow{vx}+y \cdot \overrightarrow{vy}$ ã®å½¢ã§è¡¨ã™ã“ã¨ãŒã§ãる。変数(基本ベクトルã®ä¿‚数)ã¯$x,y$ ã§ãªã,$s,t$ ã§ã‚‚よã„。å¼ï¼Œå¤‰æ•°ãƒªã‚¹ãƒˆã¨ã‚‚ã«æ–‡å—列ã«ã™ã‚‹ã€‚ã¾ãŸï¼ŒåŸºæœ¬ãƒ™ã‚¯ãƒˆãƒ«ã¯ç›´äº¤ã—ã¦ã„ãªãã¦ã‚‚よã„ã—,長ã•ãŒç•°ãªã£ã¦ã‚‚よã„ãŒï¼Œç¸¦æ¨ªåŒã˜ã‚¹ã‚±ãƒ¼ãƒ«ã®ç›´äº¤åº§æ¨™ç³»ã«ã™ã‚‹ã®ãŒã‚ã‹ã‚Šã‚„ã™ã„ã ã‚ã†ã€‚\\ + \\ +ã€ä¾‹ã€‘æ£ä¸‰è§’å½¢ã¨å¤–接円を空間内ã®å¹³é¢ã«åŸ‹ã‚込む +\begin{verbatim} + Xyzax3data("","x=[-5,4]","y=[-10,4]","z=[-5,5]",["a","O"]); + Spaceline("1",[[3,0,0],[3,6,0],[3,6,6],[3,0,6],[3,0,0]]); + Defvar("vo=[3,3,3]"); + Defvar("vx=[0,1,0]"); + Defvar("vy=[0,0,1]"); + Putpoint3d(["A",[3,3,3]],"fix"); + Circledata("1",[[0,0],[2,0]],["nodisp"]); + Listplot("1",[[0,2],[-sqrt(3),-1],[sqrt(3),-1],[0,2]],["nodisp"]); + Embed("1",["cr1","sg1"],"vo+x*vx+y*vy","[x,y]"); + Ptsize(3); + Drawpoint(A); +\end{verbatim} +     \input{Fig3d/embed01} + + ã“ã“ã§ï¼ŒEmbed()ã§å¼•ã渡㙠vo,vx,vy ã«ã¤ã„ã¦ã¯ï¼ŒScilabã§ã®å¤‰æ•°å®šç¾©ãŒå¿…è¦ãªã®ã§ï¼ˆKeTCindyã§ã¯è¡Œã‚ãªã„)Defvar() ã«ã‚ˆã£ã¦å®šç¾©ã‚’ã—ã¦ã„る。 +原点,基本ベクトルを,点を作図ã—ã¦æ¬¡ã®ã‚ˆã†ã«ã™ã‚‹ã“ã¨ã‚‚ã§ãる。ã“ã®å ´åˆã¯ Defvar() ã¯ä¸è¦ã€‚ +\begin{verbatim} + Putpoint3d(["A",[3,3,3],"B",[0,1,0],"C",[0,0,1]],"fix"); + Embed("1",["cr1","sg1"],"A3d+x*B3d+y*C3d","[x,y]"); +\end{verbatim} +        \includegraphics[bb=0 0 954 766 , width=6cm]{Fig3d/embed03.png}\\ + +ã“ã®å ´åˆï¼Œç‚¹B,Cã®åº§æ¨™ãŒãã®ã¾ã¾åŸºæœ¬ãƒ™ã‚¯ãƒˆãƒ«ã¨ãªã£ã¦ã„ã‚‹ãŒï¼ŒåŽŸç‚¹Aã«å¯¾ã—ã¦æ画平é¢ä¸Šã«ã¯B,CãŒãªã„ã®ã§å›³ãŒã‚ã‹ã‚Šã«ãã„。図をã‚ã‹ã‚Šã‚„ã™ãã™ã‚‹ãªã‚‰ã°æ¬¡ã®ã‚ˆã†ã«ã™ã‚‹ã€‚ +\begin{verbatim} + Putpoint3d(["A",[3,3,3],"B",[3,4,3],"C",[3,3,4]],"fix"); + Embed("1",["cr1","sg1"],"A3d+x*(B3d-A3d)+y*(C3d-A3d)","[x,y]"); +\end{verbatim} + + ã¾ãŸï¼Œå¹³é¢ã‚’記述ã™ã‚‹ã®ã«ï¼Œå¹³é¢ã®åŽŸç‚¹ã¨æ³•ç·šãƒ™ã‚¯ãƒˆãƒ«ã‚’用ã„㦠Perpplane() を用ã„ã‚‹ã¨ï¼ŒåŸºæœ¬ãƒ™ã‚¯ãƒˆãƒ«ãŒç”Ÿæˆã•ã‚Œã‚‹ã®ã§ã€ã“れを利用ã™ã‚‹ã“ã¨ãŒã§ãる。次ã®ã‚¹ã‚¯ãƒªãƒ—トã§ã¯ï¼ŒSkeletonparadata() を用ã„ã¦é™°ç·šå‡¦ç†ã‚‚ã—ã¦ã„る。 +\begin{verbatim} + Xyzax3data("","x=[-5,5]","y=[-8,5]","z=[-5,5]"); + Putpoint3d(["O",[0,0,0],"P",[1,1,2]],"fix"); + Perpplane("E-F","P",P3d-O3d,"put"); + vec1=3*(E3d-P3d); + vec2=3*(F3d-P3d); + Putpoint3d(["A",P3d+vec1+vec2],"fix"); + Putpoint3d(["B",P3d+vec1-vec2],"fix"); + Putpoint3d(["C",P3d-vec1-vec2],"fix"); + Putpoint3d(["D",P3d-vec1+vec2],"fix"); + Spaceline([A,B,C,D,A]); + Circledata("1",[[0,0],[2,0]],["nodisp"]); + Listplot("1",[[0,2],[-sqrt(3),-1],[sqrt(3),-1],[0,2]],["nodisp"]); + Embed("1",["cr1","sg1"],"P3d+x*(E3d-P3d)+y*(F3d-P3d)","[x,y]"); + Ptsize(3); + Drawpoint(P); + Skeletonparadata("1"); +\end{verbatim} +     \input{Fig3d/embed02} + +\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} + + +\hypertarget{intersectcrvsf}{} +\item[関数] Intersectcrvsf(name,PD,å¼) +\item[機能] 曲線ã¨æ›²é¢ã®äº¤ç‚¹ã®åº§æ¨™ã‚’求ã‚ã‚‹ +\item[説明] PDã¯æ›²ç·šã®ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã€‚å¼ã¯æ›²é¢ã®å¼ã€‚\\ + \\ +ã€ä¾‹ã€‘回転放物é¢ã¨ç·šåˆ†ã®äº¤ç‚¹ã®åº§æ¨™ã‚’表示ã™ã‚‹ã€‚曲é¢ã¯è¡¨ç¤ºã•ã‚Œã¦ã„ãªãã¦ã‚‚よã„。 +\begin{verbatim} +Putpoint3d(["A",[0,-3,0],"B",[0,3,2]],"fix"); +Spaceline([A,B]); +fd=["z=4-(x^2+y^2)","x=R*cos(T)","y=R*sin(T)","R=[0,2]","T=[0,2*pi]","e"]; +println("Intersect="+Intersectcrvsf("1","AB3d",fd)); +\end{verbatim} +実行ã™ã‚‹ã¨ï¼Œã‚³ãƒ³ã‚½ãƒ¼ãƒ«ã«\\ +  \verb|Intersect=[[0,-1.91,0.36,1.18],[0,1.57,1.52,1.76]] | +ã¨è¡¨ç¤ºã•ã‚Œã‚‹ã€‚\\ + +\hypertarget{intersectsgpL}{} +\item[関数] IntersectsgpL(点å,線分,é¢ï¼Œæ画方法) +\item[機能] 空間ã®ç·šåˆ†ã¨å¹³é¢ã®äº¤ç‚¹ã‚’作図ã™ã‚‹ +\item[説明] 引数ã®ç·šåˆ†ã¯ç·šåˆ†ã®ç«¯ç‚¹ã‚’ "A-B" ã®å½¢ã‚‚ã—ãã¯åº§æ¨™ã®ãƒªã‚¹ãƒˆå½¢ã§ä¸Žãˆã‚‹ã€‚\\ + 引数ã®é¢ã¯ï¼Œé¢å†…ã®ï¼“点を "C-D-E" ã®å½¢ã‚‚ã—ãã¯åº§æ¨™ã®ãƒªã‚¹ãƒˆã§ä¸Žãˆã‚‹ã€‚\\ + æ画方法ã¯ï¼Œ"put" ã¾ãŸã¯ "draw" ã§ï¼Œæ画方法を指定ã—ãªã„å ´åˆã¯ "draw" ã¨åŒã˜ã€‚"draw"ã§ã¯äº¤ç‚¹ãŒç·‘ã®ç‚¹ã§è¡¨ç¤ºã•ã‚Œã‚‹ã ã‘ã§ï¼Œå¹¾ä½•ç‚¹ã¯ã§ããªã„。"put" ã§ã¯å¹¾ä½•ç‚¹ã‚’作る。\\ + \\ +ã€ä¾‹ã€‘座標ã®ãƒªã‚¹ãƒˆã§ä¸Žãˆã‚‹è¨˜è¿°ä¾‹\\ + \verb|IntersectsgpL("P",[p1,p2],[p3,p4,p5],"draw");| \\ + \\ +ã€ä¾‹ã€‘立方体を平é¢ã§åˆ‡ã£ãŸå›³ã‚’æã。\\ +  ã„ã‚ã„ã‚ãªæ‰‹é †ãŒè€ƒãˆã‚‰ã‚Œã‚‹ãŒï¼Œã“ã“ã§ã¯æ¬¡ã®æ‰‹é †ã§æã。\\ + (1) 立方体ã®é ‚点をã¨ã‚‹ã€‚1辺ã®é•·ã•ã‚’Hnã¨ã™ã‚‹ã€‚\\ +  ã“ã“ã§ã¯è»¸ä¸Šã®ç‚¹ã¯Putaxes3d()ã§ã¨ã‚‹ã€‚\\ +(2) 切æ–é¢ã‚’決ã‚る点E,F,Gを辺上ã®è‡ªç”±ç‚¹ã¨ã—ã¦Putonseg3d()ã§ã¨ã‚‹ã€‚\\ +(3) E,F,Gを通る平é¢ã¨ï¼Œè¾ºAC,DYã¨ã®äº¤ç‚¹ã‚’ã¨ã‚Šï¼ŒM,Nã¨ã™ã‚‹ã€‚\\ +(4) 全体を多é¢ä½“ã¨ã—ã¦é¢ãƒ‡ãƒ¼ã‚¿ã‚’作ã£ã¦æç”»ã™ã‚‹ã€‚ +\begin{verbatim} + Hn=3; + Putaxes3d(Hn); + Putpoint3d("A",[Hn,Hn,0],"fix"); + Putpoint3d("B",[Hn,0,Hn],"fix"); + Putpoint3d("C",[Hn,Hn,Hn],"fix"); + Putpoint3d("D",[0,Hn,Hn],"fix"); + Putonseg3d("E",X,B); + Putonseg3d("F",Z,B); + Putonseg3d("G",Z,D); + IntersectsgpL("M","A-C","E-F-G","put"); + IntersectsgpL("N","D-Y","E-F-G","put"); + phd=Concatobj([[O,X,A,Y],[X,A,M,E],[A,Y,N,M],[Y,N,G,Z,O], +   [O,Z,F,E,X],[Z,F,G],[E,M,N,G,F]]); + VertexEdgeFace("1",phd,["Edg=nogeo"]); + Nohiddenbyfaces("1","phf3d1"); +\end{verbatim} +Cinderellaã®æç”»é¢ã¯ã¤ãŽã®ã‚ˆã†ã«ãªã‚‹ã€‚点E,F,Gをドラッグã—ã¦ï¼Œé©å½“ãªä½ç½®ã®æ–é¢ã«ã§ãる。ãŸã ã—,M,Nã¯è¾ºä¸Šã«ã‚ã‚‹ã“ã¨ãŒæ¡ä»¶ã§ã‚る。 +\\ + \\ +\includegraphics[bb=0 0 1426 654 , width=12cm]{Fig3d/IntersectsgpL0.png}\\ + +ã§ããŸå›³ã¯ä¸‹å›³å·¦ã€‚ã“ã‚Œã«ï¼Œæ¬¡ã®ã‚¹ã‚¯ãƒªãƒ—ãƒˆã‚’è¿½åŠ ã™ã‚Œã°ï¼Œæ–é¢ä¸Šæ–¹ã®ç«‹æ–¹ä½“ã®å„辺も点線ã§æã‹ã‚Œã‚‹ã€‚(下図å³ï¼‰ +\begin{verbatim} + Spaceline([E,B,F],["do"]); + Spaceline([B,C,M],["do"]); + Spaceline([C,D,N],["do"]); + Spaceline([D,G],["do"]); +\end{verbatim} +\input{Fig3d/IntersectsgpL1}   \input{Fig3d/IntersectsgpL2} + +\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} + +\hypertarget{invparapt}{} +\item[関数] Invparapt(座標,PD) +\item[機能] æç”»é¢ä¸Šã®åº§æ¨™ã«å¯¾å¿œã™ã‚‹æ›²ç·šä¸Šã®ç‚¹ã®åº§æ¨™ã‚’返㙠+\item[説明] Cinderellaã®æç”»é¢ä¸Šã®åº§æ¨™ã‚’与ãˆã¦ï¼Œãã‚Œã«å¯¾å¿œã™ã‚‹æ›²ç·šä¸Šã®ï¼“次元座標を返ã™ã€‚ +\\ +空間内ã®æ›²ç·šã‚’作図ã™ã‚‹ã¨ï¼Œæ›²ç·šã®ç©ºé–“内ã®ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã¨ã¨ã‚‚ã«ï¼Œæç”»é¢ä¸Šã«æããŸã‚ã®ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã‚‚作られる。ã“れを利用ã™ã‚‹ã¨ï¼Œæç”»é¢ä¸Šã®ä½ç½®ã‹ã‚‰æ›²ç·šä¸Šã®åº§æ¨™ã‚’求ã‚ã‚‹ã“ã¨ãŒã§ãる。\\ + \\ +ã€ä¾‹ã€‘螺旋ã¨ç·šåˆ†ã‚’æã„ãŸã¨ã,æç”»é¢ä¸Šã§ã®äº¤ç‚¹ï¼ˆç©ºé–“内ã®äº¤ç‚¹ã§ã¯ãªã„)ã«å¯¾å¿œã™ã‚‹èžºæ—‹ä¸Šã®ç‚¹ã®åº§æ¨™ã‚’求ã‚部分曲線をæã。\\ +\begin{verbatim} + Spaceline("1",[[-1,-1,-1],[1,2,3]]); + Spacecurve("1","[2*cos(t),2*sin(t),0.2*t]","t=[0,4*pi]",["do"]); + tmp=Intersectcrvs("sl2d1","sc2d1"); + p1=Invparapt(tmp_1,"sc3d1"); + p2=Invparapt(tmp_2,"sc3d1"); + Partcrv3d("1",p1,p2,"sc3d1"); +\end{verbatim} +        \input{Fig3d/invparapt}\\ +ã“ã“ã§ï¼Œsl2d1,sc2d1 ã¯ç·šåˆ†ã¨èžºæ—‹ã®æç”»é¢ä¸Šã§ã®ï¼ˆå¹³é¢ã®ï¼‰ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã§ã‚る。Intersectcrvs() ã§å¹³é¢ä¸Šã®äº¤ç‚¹ã®åº§æ¨™ï¼ˆè¤‡æ•°ã‚ã‚‹ã®ã§ãƒªã‚¹ãƒˆãŒè¿”る)を求ã‚,Invparapt() ã§å¯¾å¿œã™ã‚‹èžºæ—‹ä¸Šã®ç‚¹ã®åº§æ¨™ã‚’求ã‚ã¦éƒ¨åˆ†æ›²ç·šã‚’æã„ã¦ã„る。実際ã«äº¤ã‚る点ã§ã®éƒ¨åˆ†æ›²ç·šã§ã¯ãªã„ã“ã¨ã«æ³¨æ„。\\ + \\ + +\hypertarget{mkbezierptcrv3d}{} +\item[関数] Mkbezierptcrv3d(点リスト) +\item[機能] 制御点を自動的ã«ã¨ã‚‹ç©ºé–“ベジェ曲線 +\item[説明] リストã§ä¸ŽãˆãŸç‚¹ã«å¯¾ã—,制御点を自動的ã«ç”Ÿæˆã—ã¦ãƒ™ã‚¸ã‚§æ›²ç·šã‚’æã。\\ + 制御点ã¯ï¼Œï¼’ã¤ã®ç‚¹ã«å¯¾ã—ã¦ï¼Œãã®ç‚¹ã‚’端点ã¨ã™ã‚‹ç·šåˆ†ä¸Šã«ï¼’ã¤ä½œã‚‰ã‚Œã‚‹ã€‚ã“れをé©å®œç§»å‹•ã—ã¦ä»»æ„ã®æ›²ç·šã«ã™ã‚‹ã“ã¨ãŒã§ãる。\hyperlink{bezier3d}{空間ベジェ曲線 Bezier3d()} ã‚’å‚ç…§ã®ã“ã¨ã€‚\\ + \\ +ã€ä¾‹ã€‘\verb|Mkbezierptcrv3d(["A","B","C","D"]);|\\ +  線分AB上ã«ï¼’点a1p,a2p,線分BC上ã«ï¼’点a2p,a2q,線分CD上ã«ï¼’点a3p,a3qãŒã§ãる。\\ + +\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} + +\hypertarget{nohiddenbyfaces}{} +\item[関数] Nohiddenbyfaces(name,PD1,PD2,option1,option2) +\item[機能] é¢ã«å¯¾ã—曲線を陰線処ç†ã™ã‚‹ +\item[説明] PD2ã§ä¸Žãˆã‚‰ã‚ŒãŸé¢ã«å¯¾ã—,曲線PD1ã®é¢ã«éš ã‚Œã¦ã„る部分を陰線処ç†ã™ã‚‹ã€‚\\ +引数PD1ã‚’çœç•¥ã™ã‚‹ã¨ã™ã¹ã¦ã®æ›²ç·šãŒå¯¾è±¡ã¨ãªã‚‹ã€‚陰線処ç†ã•ã‚ŒãŸç·šã¯åˆæœŸè¨å®šã§ã¯ç‚¹ç·šã§è¡¨ã•ã‚Œã‚‹ã€‚ã“ã®ç·šç¨®ã¯option2ã§å¤‰æ›´ã§ãる。ãŸã¨ãˆã°ï¼Œ["da"] ã¨ã™ã‚‹ã¨ç ´ç·šã«ãªã‚‹ã€‚option1ã¯æ›²ç·šå…¨ä½“ã®optionã§ã‚ã‚‹ã®ã§ï¼Œoption2 ã ã‘を指定ã™ã‚‹å ´åˆã¯ï¼Œoption1 ã¨ã—ã¦ç©ºãƒªã‚¹ãƒˆ[ ] ãŒå¿…è¦ã§ã‚る。\\ + \\ +ã€ä¾‹ã€‘座標平é¢ä¸Šã«æ£å››é¢ä½“ã‚’æã,å„軸ã¨æ£å››é¢ä½“ã®è¾ºã‚’陰線処ç†ã™ã‚‹ã€‚(下図左) +\begin{verbatim} +Xyzax3data("","x=[-5,5]","y=[-5,5]","z=[-5,4]"); +Putpoint3d("A",2*[-1,-1/sqrt(3),0],"fix"); +Putpoint3d("B",2*[1,-1/sqrt(3),0],"fix"); +Putpoint3d("C",2*[0,sqrt(3)-1/sqrt(3),0],"fix"); +Putpoint3d("D",2*[0,0,sqrt(3)],"fix"); +phd=Concatobj([[A,B,C],[A,B,D],[A,C,D],[B,C,D]]); +VertexEdgeFace("1",phd,["Edg=nogeo"]); +Nohiddenbyfaces("1","phf3d1"); +\end{verbatim} + + \verb|VertexEdgeFace("1",phd,["Edg=nogeo"]);| ã«ã‚ˆã£ã¦ï¼Œè¾ºï¼Œé ‚点,é¢ã®ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ãŒä½œã‚‰ã‚Œã‚‹ã€‚\verb|phf3d1| ã¯ï¼Œé¢ã®ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã§ã‚る。\\ + ã“ã“ã§ï¼Œ\verb|Nohiddenbyfaces("1","phe3d1","phf3d1",["dr,2"],["da"]); | ã¨ã™ã‚‹ã¨ï¼Œåº§æ¨™è»¸ã¯é™°ç·šå‡¦ç†ã•ã‚Œãšï¼Œæ£å››é¢ä½“ã®è¾ºï¼ˆ\verb|phe3d1|)ã ã‘ãŒé™°ç·šå‡¦ç†ã•ã‚Œã¦ç ´ç·šã§æã‹ã‚Œã‚‹ã€‚å››é¢ä½“ã¯å¤ªãæã‹ã‚Œã‚‹ã€‚(下図å³ï¼‰\\ + \\ + \input{Fig3d/nohiddenbyfaces1}   \input{Fig3d/nohiddenbyfaces2}\\ +åŒæ§˜ã«ï¼Œ\\ + \verb|Nohiddenbyfaces("1","ax3d","phf3d1",[],["da"]);|\\ +ã¨ã™ã‚Œã°ï¼Œåº§æ¨™è»¸ã ã‘ãŒé™°ç·šå‡¦ç†ã•ã‚Œã¦ç ´ç·šã§æã‹ã‚Œã‚‹ã€‚\\ +\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} + +\hypertarget{parapt}{} +\item[関数] Parapt(座標) +\item[機能] 点ã®æŠ•å½±é¢ã§ã®åº§æ¨™ +\item[説明] 引数ã®ç©ºé–“座標ã«å¯¾å¿œã™ã‚‹Cinderellaã®æç”»é¢ã®åº§æ¨™ã‚’è¿”ã™ã€‚\\ + \\ +ã€ä¾‹ã€‘\verb|Parapt([2,1,5]);| ã«ã‚ˆã‚Šï¼Œç‚¹(2,1,5) ãŒè¡¨ç¤ºã•ã‚Œã¦ã„ã‚‹æç”»é¢ã®åº§æ¨™ï¼ŒãŸã¨ãˆã° [-0.52,3.27] ãŒè¿”ã•ã‚Œã‚‹ã€‚\\ +\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} + +\hypertarget{perpplane}{} +\item[関数] Perpplane(点å,点,ベクトル,option) +\item[機能] 点を通り線分ã«åž‚ç›´ãªå¹³é¢ä¸Šã«åŸºæº–点を2ã¤ã¨ã‚‹ +\item[説明] 引数ã®ç‚¹åã¯ï¼Œä½œæˆã™ã‚‹ï¼’点㧠"A-B" ã®å½¢\\ + 第2引数ã¯é€šã‚‹ç‚¹ã®å称ã¾ãŸã¯åº§æ¨™\\ + 第3引数ã¯æ³•ç·šãƒ™ã‚¯ãƒˆãƒ«\\ + option㯠"put" ã§ï¼Œï¼’ã¤ã®å¹¾ä½•ç‚¹ã‚’作図ã™ã‚‹ã€‚optionãŒãªã„å ´åˆã¯å¹¾ä½•ç‚¹ã¯ä½œã‚‰ãšï¼Œç„¡åã®ç‚¹ã®ã¿ã‚’表示ã™ã‚‹ã€‚put以外ã®æ–‡å—列を書ã„ãŸã¨ãã¯ç„¡åŠ¹ãªå‘½ä»¤ã¨ã—,何も作æˆã•ã‚Œãªã„。\\ + 記述例を示ã™ã¨\\ +  \verb|Perpplane("A-B","P",[1,1,1],"put");|\\ +    点Pを通り,法線ベクトル(1,1,1)ã«åž‚ç›´ãªå¹³é¢ä¸Šã«ç‚¹A,Bã‚’ã¨ã‚‹ã€‚\\ +  \verb|Perpplane("A-B","P",P3d-O3d);|\\ +    点Pを通り,線分OPã«åž‚ç›´ãªå¹³é¢ä¸Šã«ç‚¹A,Bã‚’ã¨ã‚‹ã€‚\\ + ã“れらã«ãŠã„ã¦ï¼ŒPAã¨PBã¯åž‚ç›´ã§ï¼ŒPA=PB=1 ã¨ãªã‚‹ã€‚\\ + \\ +ã€ä¾‹ã€‘ベクトル $\vec{p}=(1,1,1)$ ã«åž‚ç›´ã§ç‚¹$(1,1,1)$を通る平é¢ã‚’æã。 +\begin{verbatim} + Putaxes3d(2); + Putpoint3d(["P",[1,1,1]],"fix"); + Ptseg3data(); + Perpplane("E-F","P",P3d-O3d,"put"); + vec1=2*(E3d-P3d); + vec2=2*(F3d-P3d); + Putpoint3d(["A",P3d+vec1+vec2],"fix"); + Putpoint3d(["B",P3d+vec1-vec2],"fix"); + Putpoint3d(["C",P3d-vec1-vec2],"fix"); + Putpoint3d(["D",P3d-vec1+vec2],"fix"); + Spaceline([A,B,C,D,A]); + Letter([P,"w","P",A,"ne","A",B,"e","B",C,"ws","C",D,"nw","D",]); + Skeletonparadata("1"); +\end{verbatim} +         \input{Fig3d/perpplane} +\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} + \\ + +\hypertarget{perppt}{} +\item[関数] Perppt(点å,点,点リスト,option) +\item[機能] 平é¢ã«ä¸‹ã‚ã—ãŸåž‚ç·šã®è¶³ã‚’求ã‚ã‚‹ +\item[説明] 第2引数ã®ç‚¹ã‹ã‚‰ï¼Œç¬¬ï¼“引数ã®ç‚¹ãƒªã‚¹ãƒˆã§æ±ºã¾ã‚‹å¹³é¢ã«ä¸‹ã—ãŸåž‚ç·šã®è¶³ã‚’,第1引数ã®åå‰ã®ç‚¹ã¨ã™ã‚‹ã€‚\\ +オプションã¯æ¬¡ã®é€šã‚Šã€‚デフォルト㯠"draw"\\ + draw:点を打ã¤ã€‚幾何点ã¯ä½œã‚‰ãªã„\\ + put :幾何点を作る\\ + none:計算ã ã‘è¡Œã„,点ã¯ä½œå›³ã—ãªã„。\\ + \\ +ã€ä¾‹ã€‘原点ã‹ã‚‰ç‚¹ABCを通る平é¢ã«ä¸‹ã—ãŸåž‚ç·šã®è¶³Hã®åº§æ¨™ã‚’求ã‚る。\\ +  \verb|Perppt("H","O","A-B-C","none");| 表示ã¯ã•ã‚Œãªã„。\\ +  \verb|Perppt("N","O","A-B-C");| Hã®ä½ç½®ã«ç·‘色ã®ç‚¹ãŒè¡¨ç¤ºã•ã‚Œã‚‹ã€‚\\ +  \verb|Perppt("N","O","A-B-C","put");| 幾何点HãŒä½œå›³ã•ã‚Œã‚‹ã€‚\\ + ã„ãšã‚Œã®å ´åˆã‚‚,Hã®åº§æ¨™ã¯å¤‰æ•°H3d ã«ä»£å…¥ã•ã‚Œã‚‹\\ + \\ +作図例 +\begin{verbatim} + Xyzax3data("","x=[-5,5]","y=[-5,5]","z=[-5,4]"); + Putpoint3d("O",[0,0,0],"fix"); + Putpoint3d("A",[3,0,0],"fix"); + Putpoint3d("B",[0,3,0],"fix"); + Putpoint3d("C",[0,0,3],"fix"); + Perppt("H","O","A-B-C","put"); + Spaceline([A,B,C,A]); + Spaceline([O,H]); + Letter([A,"nw","A",B,"ne","B",C,"ne","C",O,"nw","O",H,"ne","H"]); +\end{verbatim} + \\ +     \input{Fig3d/perppt} + \\ + +\hypertarget{partcrv3d}{} +\item[関数] Partcrv3d(name,始点,終点,PD) +\item[機能] 部分曲線ã®ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã‚’作æˆã™ã‚‹ +\item[説明] 曲線PDã«ãŠã„ã¦ï¼Œå§‹ç‚¹ã‹ã‚‰çµ‚点ã¾ã§ã®ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã‚’作æˆã™ã‚‹ã€‚\\ +始点ã¨çµ‚点ã¯ï¼Œãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã®ç•ªå·ã‚‚ã—ãã¯æ›²ç·šä¸Šã«ã¨ã£ãŸç‚¹ã®è˜åˆ¥åã§ç¤ºã™ã€‚\\ + +ã€ä¾‹ã€‘螺旋をæã,Cã‹ã‚‰Dã¾ã§ã®éƒ¨åˆ†ã‚’太ãã™ã‚‹ã€‚PutonCurve3d() ã§èžºæ—‹ä¸Šã«ç‚¹C,Dã‚’ã¨ã‚Šï¼Œãƒ‰ãƒ©ãƒƒã‚°ã—ã¦é©å½“ãªä½ç½®ã«ç§»å‹•ã™ã‚‹ã€‚ +\begin{verbatim} + Xyzax3data("","x=[-5,5]","y=[-5,5]","z=[-5,4]"); + Spacecurve("1","[2*cos(t),2*sin(t),0.2*t]","t=[0,4*pi]",["Num=100"]); + PutonCurve3d("C","sc3d1"); + PutonCurve3d("D","sc3d1"); + Partcrv3d("1",C,D,"sc3d1",["dr,3"]); + Letter([C,"n2","C",D,"n2","D"]); +\end{verbatim} + ã“ã“ã§ï¼Œ\verb|"sc3d1"| ã¯ï¼Œèžºæ—‹ã®ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ï¼Œ\verb|"part3d1"| ã¯ï¼Œéƒ¨åˆ†æ›²ç·šã®ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã§ã‚る。\\ +       \input{Fig3d/partcrv3d1}\\ + \\ +ã€ä¾‹ã€‘稲妻状ã®èžºæ—‹ã‚’点線ã§æã,ãã®ä¸€éƒ¨ã‚’実線ã«ã™ã‚‹ã€‚ä½ç½®ã¯ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã®ç•ªå·ã§ç¤ºã™ã€‚å°æ•°ã«ã™ã‚‹ã¨æ›²ç·šã‚’分割ã—ã¦ã„る線分ã®é€”ä¸ã®ä½ç½®ã«ãªã‚‹ã€‚ +\begin{verbatim} +Spacecurve("1","[2*cos(t),2*sin(t),0.2*t]","t=[0,4*pi]",["Num=10","do"]); +Partcrv3d("1",3.3,8.5,"sc3d1"); +\end{verbatim} +       \input{Fig3d/partcrv3d2}\\ + +\hypertarget{phparadata}{} +\item[関数] Phparadata(name,name2,options) +\item[機能] 多é¢ä½“を陰線処ç†ã—ã¦æã +\item[説明] 多é¢ä½“を陰線処ç†ã—ã¦æã。多é¢ä½“ã¯é¢ãƒ‡ãƒ¼ã‚¿ï¼ˆé ‚点リストã¨é¢ãƒªã‚¹ãƒˆï¼‰ã‚’与ãˆã¦ï¼ŒVertexEdgeFace() ã§ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã‚’作る。ã“ã®ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã«å¯¾ã—ï¼Œéš ã‚Œã¦ã„ã‚‹é¢ï¼ˆè¾ºï¼‰ã‚’éžè¡¨ç¤ºã«ã—ã¦è¡¨ç¤ºã™ã‚‹ã€‚第1引数ã¯é€šå¸¸ã®name,第2引数ã®name2ã¯ï¼ŒVertexEdgeFace() ã§ä¸ŽãˆãŸnameã¨åŒã˜ã‚‚ã®ã¨ã™ã‚‹ã€‚\\ + optionsã¯ï¼Œå…¨ä½“ã®ç·šç¨®ï¼ˆ"dr,2"ãªã©ï¼‰ã¨ï¼Œé™°ç·šã®ç·šç¨®ã‚’"Hidden=線種" ã§æŒ‡å®šã§ãる。デフォルトã§ã¯é™°ç·šã¯è¡¨ç¤ºã—ãªã„。\\ + \\ +ã€ä¾‹ã€‘å°æž—・鈴木・三谷ã«ã‚ˆã‚‹å¤šé¢ä½“データ polyhedrons obj ã‹ã‚‰ï¼Œs06ã®åˆ‡é ‚二åé¢ä½“(サッカーボール型)をæã。 +\begin{verbatim} + Setdirectory( Dirhead+"/data/polyhedrons_obj"); + phd=Readobj("s06.obj",["size=3"]); + Setdirectory(Dirwork); + VertexEdgeFace("s06",phd,["Edg=nogeo"]); + Phparadata("1","s06"); +\end{verbatim} + VertexEdgeFace() ã® name ã¯é€šå¸¸ã® "1" ã§ã‚‚よã„。ãã®å ´åˆã¯ï¼Œ\verb|Phparadata("1","1");| ã¨ã™ã‚‹ãŒï¼Œã‚ã‹ã‚Šã«ãã„ã®ã§ä¸Šã®ã‚ˆã†ã«ã—ãŸã€‚\\ + 実行ã™ã‚‹ã¨ï¼ŒCinderellaã®æç”»é¢ã¯æ¬¡ã®ã‚ˆã†ã«é ‚点ã ã‘ãŒæã‹ã‚Œã‚‹ã€‚\\ + \\ + \includegraphics[bb=0 0 1452 730 , width=12cm]{Fig3d/phparadata01.png}\\ + \\ +「Texviewã€ã€ŒExekcã€ãƒœã‚¿ãƒ³ã‚’押ã™ã¨é™°ç·šå‡¦ç†ã—ãŸãƒ‡ãƒ¼ã‚¿ãŒFhead.txt ã«æ›¸ã出ã•ã‚Œï¼Œã“れを用ã„ã¦Fhead.texãŒä½œæˆã•ã‚Œã‚‹ã€‚ãã®ãŸã‚,Exekcボタンを押ã—ã¦ã‹ã‚‰å‡¦ç†ãŒå®Œäº†ã™ã‚‹ã¾ã§ã«ã‹ãªã‚Šæ™‚é–“ãŒã‹ã‹ã‚‹ã€‚(下図左)\\ + ãªãŠï¼Œã‚‚ã†ä¸€åº¦å®Ÿè¡Œã™ã‚‹ã¨ï¼Œã“ã‚“ã©ã¯ï¼ŒFhead.txt ãŒã§ãã¦ã„ã‚‹ãŸã‚ã«ï¼Œã“れをèªã¿è¾¼ã‚“ã§Cinderellaã®ç”»é¢ã§ã‚‚陰線処ç†ã•ã‚ŒãŸå›³ãŒæã‹ã‚Œã‚‹ã€‚\\ + 全体ã®ç·šç¨®ã¨ï¼Œé™°ç·šã®ç·šç¨®ã‚’\\ +  \verb|Phparadata("1","s05",["dr,2","Hidden=do"]);|\\ +ã§æŒ‡å®šã—ãŸã®ãŒä¸‹å›³å³ã§ã‚る。\\ + +  \input{Fig3d/phparadata02}    \input{Fig3d/phparadata03}\\ + +ã€æ³¨æ„】\\ + polyhedrons obj ã®ãƒ‡ãƒ¼ã‚¿ã‚’使ã£ã¦ï¼Œç¶šã‘ã¦ç•°ãªã‚‹å¤šé¢ä½“ã‚’æããŸã„å ´åˆã¯æ³¨æ„ãŒå¿…è¦ã§ã‚る。Readobj()ã ã‘を変更ã—ã¦åˆ¥ã®ãƒ‡ãƒ¼ã‚¿ã‚’èªã‚ã°ã‚ˆã•ãã†ã§ã‚ã‚‹ãŒï¼ŒVertexEdgeFace() ã®name も(ã—ãŸãŒã£ã¦ï¼ŒPhparadata()ã®ç¬¬2引数も)書ãæ›ãˆãªã„ã¨ï¼Œå‰ã®ãƒ‡ãƒ¼ã‚¿ãŒæ®‹ã£ã¦ã„ã¦ã†ã¾ãã„ã‹ãªã„。ãŸã¨ãˆã°ï¼Œä¸Šã®ã‚³ãƒ¼ãƒ‰ã§åˆ‡é ‚å二é¢ä½“ã‚’æã„ãŸå¾Œï¼Œæ£å…«é¢ä½“(r02)をæã“ã†ã¨ã™ã‚‹ãªã‚‰ã°ï¼Œ +\begin{verbatim} + Setdirectory( Dirhead+"/data/polyhedrons_obj"); + phd=Readobj("r02.obj",["size=3"]); + Setdirectory(Dirwork); + VertexEdgeFace("2",phd,["Edg=nogeo"]); + Phparadata("1","2"); +\end{verbatim} + ã®ã‚ˆã†ã«ã™ã‚‹ã€‚\\ + +\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} + +\hypertarget{projcoordpara}{} +\item[関数] Projcoordpara(座標) +\item[機能] 投影座標を求ã‚ã‚‹ +\item[説明] 空間座標を投影ã—ãŸåº§æ¨™ã‚’求ã‚る。\\ + 戻り値ã®ç¬¬ï¼‘,第2è¦ç´ ã¯Cinderellaã®æç”»é¢ã®x,y座標。第3è¦ç´ ã¯xyå¹³é¢ã«åž‚ç›´ãªzã®åº§æ¨™ã§ï¼ŽæŠ•å½±é¢ã‹ã‚‰ã®ï¼ˆç¬¦å·ä»˜ï¼‰è·é›¢ã‚’表ã™ã€‚\\ + \\ +ã€ä¾‹ã€‘\verb|Projcoordpara([3,1,2]);|\\ +  戻り値ã¯ã€€[-0.65,1.7,3.27]  ã¨ãªã‚‹ã€‚\\ + + +\hypertarget{putaxes3d}{} +\item[関数] Putaxes3d([x,y,z]) +\item[機能] 軸上ã«å¹¾ä½•ç‚¹ã‚’作る。 +\item[説明] 引数ã®ãƒªã‚¹ãƒˆ [x,y,z] ã«å¯¾ã—,点X(x,0,0) ,Y(0,y,0) , Z(0,0,z) ãŠã‚ˆã³ 原点Oを主画é¢ä¸Šã«ã¨ã‚Šï¼Œå‰¯ç”»é¢ä¸Šã«å¯¾å¿œã™ã‚‹ç‚¹Xz,Yz,Zz,Oz を作る。ã™ã§ã«åŒã˜å称ã®ç‚¹ãŒã‚ã‚‹å ´åˆã¯ï¼ŒæŒ‡å®šã•ã‚ŒãŸä½ç½®ã«ç§»å‹•ã™ã‚‹ã€‚\\ + 引数ã¯ï¼Œå®Ÿæ•°ã«ã™ã‚‹ã“ã¨ã‚‚ã§ã,Putaxes3d(a) ã¯ï¼ŒPutaxes3d([a,a,a]) ã¨åŒã˜ã«ãªã‚‹ã€‚\\ +ã€ä¾‹ã€‘Putaxes3d(5); 原点ã¨ï¼Œ$x(5,0,0),y(0,5,0),z(0,0,5)$ を作る。\\ +  Putaxes3d([1,2,3]); 原点ã¨ï¼Œ$x(1,0,0),y(0,2,0),z(0,0,3)$ を作る。\\ + +\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} + +\hypertarget{putonCurve3d}{} +\item[関数] PutonCurve3d(点å,PD) +\item[機能] 空間曲線上ã«ç‚¹ã‚’ã¨ã‚‹ +\item[説明] プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿PDã®æ›²ç·šä¸Šã«ï¼Œç‚¹åã®ç‚¹ã‚’ã¨ã‚‹ã€‚\\ + ã¨ã£ãŸç‚¹ã¯å›ºå®šç‚¹ã§ã¯ãªã,曲線上ã«ã‚¤ãƒ³ã‚·ãƒ‡ãƒ³ãƒˆã¨ãªã‚‹ã€‚ã—ãŸãŒã£ã¦ï¼Œãƒ‰ãƒ©ãƒƒã‚°ã—ã¦æ›²ç·šä¸Šã‚’å‹•ã‹ã™ã“ã¨ãŒã§ãる。例㯠\hyperlink{partcrv3d}{Partcrv3d()} ã‚’å‚ç…§ã®ã“ã¨ã€‚\\ + \\ + +\hypertarget{putonseg3d}{} +\item[関数] Putonseg3d(点å,点1,点2) +\item[機能] 線分上ã«ç‚¹ã‚’å–ã‚‹ +\item[説明] 点1ã¨ç‚¹ï¼’ã®ä¸ç‚¹ã«ï¼ŒæŒ‡å®šã•ã‚ŒãŸåå‰ã®ç‚¹ã‚’å–る。点1ã¨ç‚¹ï¼’ãŒç·šåˆ†ã¨ã—ã¦çµã°ã‚Œã¦ã„ãªãã¦ã‚‚よã„。ã¨ã£ãŸç‚¹ã¯ç·šåˆ†ã«ã‚¤ãƒ³ã‚·ãƒ‡ãƒ³ãƒˆã¨ãªã‚‹ï¼ˆç·šåˆ†ãŒæã‹ã‚Œã¦ã„ãªãã¦ã‚‚)。点1ã¨ç‚¹ï¼’ã¯ãƒªã‚¹ãƒˆã«ã™ã‚‹ã“ã¨ã‚‚ã§ãる。\\ + \\ +ã€ä¾‹ã€‘Aã¨Bã®ä¸ç‚¹ã«ç‚¹Cã‚’ã¨ã‚‹ã€‚ã¤ãŽã®ã„ãšã‚Œã§ã‚‚よã„。\\ +  \verb|Putonseg3d("C",A,B);|\\ +  \verb|Putonseg3d("C",[A,B]);|\\ + \\ + +\hypertarget{putpoint3d}{} +\item[関数] Putpoint3d(リスト,option) +\item[機能] 空間ã«å¹¾ä½•ç‚¹ã‚’作図ã™ã‚‹ +\item[説明] 点ã®å称ã¨åº§æ¨™ã‚’与ãˆã¦ç‚¹ã‚’作図ã™ã‚‹ã€‚複数ã®ç‚¹ã‚’一度ã«ä½œå›³ã§ãる。\\ + optionã¯ï¼Œ"fix" ã¾ãŸã¯ "free" (デフォルト)。\\ + "fix" ã‚’ã¤ã‘ã‚‹ã¨ï¼Œå›ºå®šç‚¹ï¼ˆãƒ‰ãƒ©ãƒƒã‚°ã§ç§»å‹•ã§ããªã„点)ã¨ã™ã‚‹ã€‚åŒã˜å称ã®ç‚¹ãŒã™ã§ã«å˜åœ¨ã™ã‚‹å ´åˆã¯ï¼ŒæŒ‡å®šã—ãŸä½ç½®ã«ç§»å‹•ã—ã¦å›ºå®šç‚¹ã¨ã™ã‚‹ã€‚\\ + "free" ã‚’ã¤ã‘ã‚‹ã¨ï¼Œè‡ªç”±ç‚¹ï¼ˆãƒ‰ãƒ©ãƒƒã‚°ã§ç§»å‹•ã§ãる)ã¨ã™ã‚‹ã€‚åŒã˜å称ã®ç‚¹ãŒã™ã§ã«å˜åœ¨ã™ã‚‹å ´åˆã¯ãªã«ã‚‚ã—ãªã„。\\ + \\ +ã€ä¾‹ã€‘ã„ãã¤ã‹è¨˜è¿°ä¾‹ã‚’示ã™ã€‚\\ +  \verb|Putpoint3d(["A",[2,1,3]]);|\\ +  \verb|Putpoint3d(["A",[1,1,1],"C",[1,0,1]],"fix");|\\ +  \verb|Putpoint3d(["A",[2,1,3]],"free");|\\ + \\ + ãªãŠï¼Œã“ã®é–¢æ•°ã¯å¹¾ä½•ç‚¹ã‚’作るもã®ã§ã‚り,TeXã«ã¯å‡ºåŠ›ã•ã‚Œãªã„。TeXã«ç‚¹ã‚’出力ã™ã‚‹ã«ã¯ï¼Œ\hyperlink{pointdata}{Pointdata()} ã¾ãŸã¯ \hyperlink{drwpt}{Drawpoint()}を併用ã™ã‚‹ã€‚\\ + 空間ã«ãŠã‘る点ã®åº§æ¨™ã¯ï¼Œç‚¹åã«"3d"ã‚’ä»˜åŠ ã—ãŸåå‰ã®å¤‰æ•°ã«ä»£å…¥ã•ã‚Œã‚‹ã€‚ãŸã¨ãˆã°ï¼Œç‚¹Aã®åº§æ¨™ã¯A3dã§ã‚る。ã“ã‚Œã«ã‚ˆã‚Šï¼Œç‚¹ã®åº§æ¨™ã‚’å–å¾—ã§ãる。 + +\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} + +\hypertarget{readobj}{} +\item[関数] Readobj(ファイルå) +\item[機能] objファイルをèªã¿è¾¼ã‚€ï¼Ž +\item[説明] å°æž—・鈴木・三谷ã«ã‚ˆã‚‹å¤šé¢ä½“データ polyhedrons\_obj  をèªã¿è¾¼ã‚€ã€‚\\ +オプション㯠["size=n"] ã§ï¼Œnå€ã—ãŸãƒ‡ãƒ¼ã‚¿ã«ã™ã‚‹ã€‚è² ã®æ•°ã«ã™ã‚‹ã¨ä¸Šä¸‹ãŒå転ã•ã‚Œã‚‹ã€‚\\ +データã¯KeTCindyã®dataフォルダã®ä¸ã«ã‚る。ã—ãŸãŒã£ã¦ï¼Œæ¬¡ã®ã‚ˆã†ãªã‚¹ã‚¯ãƒªãƒ—トを書ã。èªã¿è¾¼ã‚€ã®ã¯ä¸€åº¦ã ã‘ãªã®ã§ï¼Œ Draw スãƒãƒƒãƒˆã§ã¯ãªãInitialization スãƒãƒƒãƒˆã«ç½®ã‘ã°ã‚ˆã„ãŒï¼Œã‚³ãƒ¼ãƒ‰ã®å¯èªæ€§ã‚’高ã‚ã‚‹ã«ã¯ Draw スãƒãƒƒãƒˆã§ã‚‚よã„。 +\begin{verbatim} + Setdirectory( Dirhead+"/data/polyhedrons_obj"); + polydt=Readobj("r02.obj"); + Setdirectory(Dirwork); +\end{verbatim} +ã“ã‚Œã§ï¼Œr02.obj データãŒï¼Œå¤‰æ•° polydt ã«ä»£å…¥ã•ã‚Œã‚‹ã€‚\\ +ã“ã®å¤šé¢ä½“データã¯ï¼Œé ‚点リストã¨é¢ãƒªã‚¹ãƒˆã‹ã‚‰ãªã£ã¦ã„ã‚‹ãŒï¼Œé ‚点リストã¯åº§æ¨™ã®ãƒªã‚¹ãƒˆãªã®ã§ï¼Œèªã¿è¾¼ã‚“ã§è¡¨ç¤ºã™ã‚‹ã¨ãã«ã¯ï¼Œç‚¹ã®å称を v1,v2,・・・ ã¨ã™ã‚‹ã€‚\\ +èªã¿è¾¼ã‚“ã ã‚ã¨ã®ä½¿ã„方をå«ã‚ã¦ä¾‹ã‚’示ã™ã€‚\\ + +ã€ä¾‹ã€‘æ£å…«é¢ä½“ã‚’æã +\begin{verbatim} + Setdirectory( Dirhead+"/data/polyhedrons_obj"); + polydt=Readobj("r02.obj",["size=2"]); + Setdirectory(Dirwork); + VertexEdgeFace("1",polydt,["Edg=nogeo"]); + Nohiddenbyfaces("1","phf3d1"); +\end{verbatim} +   \input{Fig3d/readobj} + +\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} + +\hypertarget{reflectpoint3d}{} +\item[関数] Reflectpoint3d(座標,リスト) +\item[機能] 点ã®é¡æ˜ 点を求ã‚ã‚‹ +\item[説明] 第2引数ã®ã‚¿ã‚¤ãƒ—ã«ã‚ˆã‚Šï¼Œç‚¹ã«é–¢ã™ã‚‹é¡æ˜ ,直線ã«é–¢ã™ã‚‹é¡æ˜ ,é¢ã«é–¢ã™ã‚‹é¡æ˜ ã®ãã‚Œãžã‚Œã®ç‚¹ã®åº§æ¨™ã‚’è¿”ã™ã€‚\\ + \\ +ã€ä¾‹ã€‘点A,B,C,Dを空間ã«ã¨ã‚Šï¼Œç‚¹Aã®é¡æ˜ 点ã®åº§æ¨™ã‚’求ã‚る。\\ +  点Bã«é–¢ã™ã‚‹é¡æ˜ 点   \verb|Reflectpoint3d(A3d,[B3d]);|\\ +  直線BCã«é–¢ã™ã‚‹é¡æ˜ 点 \verb|Reflectpoint3d(A3d,[B3d,C3d]);|\\ +  平é¢BCDã«é–¢ã™ã‚‹é¡æ˜ 点 \verb|Reflectpoint3d(A3d,[B3d,C3d,D3d]);|\\ + +\hypertarget{rotate3pt}{} +\item[関数] Rotate3pt(座標,vec,角度,ä¸å¿ƒç‚¹) +\item[機能] 点を回転ã™ã‚‹ +\item[説明] 第1引数ã®åº§æ¨™ã®ç‚¹ã‚’回転ã™ã‚‹ã€‚vecã¯å›žè»¢è»¸ã®æ–¹å‘ベクトル。ä¸å¿ƒç‚¹ã¯æ–¹å‘ベクトルã®å§‹ç‚¹ã€‚第4引数をçœç•¥ã—ãŸå ´åˆã¯åŽŸç‚¹ã¨ã™ã‚‹ã€‚\\ + \\ +ã€ä¾‹ã€‘点Aã‚’(0,-1,0) ã«ç½®ã„ãŸã¨ãã®è¨˜è¿°ä¾‹ã¨çµæžœï¼ˆæˆ»ã‚Šå€¤ï¼‰\\ +  \verb|Rotate3pt(A3d,[0,0,1],pi/2)|;     戻り値㯠[1,0,0]\\ +  \verb|Rotate3pt(A3d,[0,0,1],pi/2,[1,1,1]);| 戻り値ã¯[3,0,0]\\ + \\ + +\hypertarget{rotatedata3d}{} +\item[関数] Rotatedata3d(name,PDリスト,vec,角度,options) +\item[機能] プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã‚’回転 +\item[説明] プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã‚’,原点を始点ã¨ã™ã‚‹ãƒ™ã‚¯ãƒˆãƒ«vec 周りã«å›žè»¢ã™ã‚‹ã€‚複数ã®ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã‚’ã¾ã¨ã‚ã¦å›žè»¢ã™ã‚‹ã“ã¨ãŒã§ãる。\\ +options ã¨ã—ã¦ï¼Œä¸å¿ƒç‚¹ï¼ˆvecã®å§‹ç‚¹ï¼‰ï¼Œç·šç¨®ã‚’指定ã™ã‚‹ã“ã¨ãŒã§ãる。\\ + \\ +ã€ä¾‹ã€‘コード例ã¨çµæžœã‚’示ã™ã€‚ +\begin{verbatim} + Xyzax3data("","x=[-5,4]","y=[-5,5]","z=[-5,4]",["a","O"]); + Putpoint3d(["A",[0,-2,0],"B",[2,-2,0],"C",[1,-2,2],"D",[1,-2,3]],"fix"); + Spaceline("1",[A,B,C,A]); + Spaceline([C,D]); + Rotatedata3d("1",["sl3d1","CD3d"],[0,0,1],pi/2,["dr,2"]); + Letter([A,"s","A",B,"w","B",C,"ne","C",D,"ne","D"]); +\end{verbatim} +ã“れを\\ + \verb|Rotatedata3d("1",["sl3d1","CD3d"],[0,0,1],pi/2,[[1,0,0],"dr,2"]);|\\ +ã¨ã—ãŸå ´åˆãŒå³å›³ã§ã‚る。\\ + + \input{Fig3d/rotatedata3d01} \input{Fig3d/rotatedata3d02}\\ + +\hypertarget{sf3data}{} +\item[関数] Sf3data(name,リスト,options) +\item[機能] 陰線処ç†ãªã—ã®æ›²é¢ã‚’ワイヤーフレームモデルã§æã +\item[説明] リストã¯ï¼Œé–¢æ•°å¼ã¨å®šç¾©åŸŸï¼Œå¢ƒç•ŒæŒ‡å®šã‚’ãã‚Œãžã‚Œæ–‡å—列ã«ã—ãŸã‚‚ã®ã®ãƒªã‚¹ãƒˆã€‚\\ +optionsã¯ï¼Œè§£åƒåº¦ï¼ˆå„変数ã«å¯¾å¿œã™ã‚‹åˆ†å‰²æ•°ï¼‰ã¨ãƒ¡ãƒƒã‚·ãƒ¥ã®å¯†åº¦ï¼ˆç¸¦æ¨ªï¼‰ã€‚\\ +解åƒåº¦ã¯ï¼Œ"Num=[a,b]" ã§æŒ‡å®šã€‚åˆæœŸå€¤ã¯a,bã¨ã‚‚25\\ +メッシュ密度ã¯ï¼Œ"Wire=[a,b]" ã§æŒ‡å®šã€‚åˆæœŸå€¤ã¯a,bã¨ã‚‚20\\ +境界ã®æŒ‡å®šã¯"ewsn"ã§è¡Œã†ã€‚\\ +関数å¼ã®ãƒ‘ターンã¯ã¤ãŽã®3通り。\\ + \\ +(1) $z=f(x,y)$\\ + ã€ä¾‹ã€‘:$z=x^2-y^2$を定義域$x=[-2,2],y=[-2,2]$ ã§æç”»ã™ã‚‹ã€‚\\ +   \verb|Sf3data("1",["z=x^2-y^2","x=[-2,2]","y=[-2,2]"])|;\\ +       \input{Fig3d/saddle1}\\ + ã€ä¾‹ã€‘:åŒã˜ã,解åƒåº¦ã‚’x,yã¨ã‚‚10,メッシュã®æ•°ã‚’縦横ã¨ã‚‚10ã«ã™ã‚‹ã€‚\\ +   解åƒåº¦ï¼Œãƒ¡ãƒƒã‚·ãƒ¥å¯†åº¦ã¨ã‚‚下ã’ã‚‹ã®ã§ç²—ã„æç”»ã¨ãªã‚‹ã€‚\\ +   \verb|Sf3data("1",["z=x^2-y^2","x=[-2,2]","y=[-2,2]"],|\\ +      \verb|["Num=[10,10]","Wire=[10,10]"]);|\\ + \\ +(2) $z=f(x,y),x=g(R,T),y=h(R,T)$\\ +  x,y ã®åª’介変数 r,t ã¯å¤§æ–‡å—ã«ã™ã‚‹ã€‚\\ + ã€ä¾‹ã€‘:次図左\\ +   \verb|fd=["z=4-(x^2+y^2)","x=R*cos(T)","y=R*sin(T)","R=[0,2]","T=[0,2*pi]"];|\\ +   \verb|Sf3data("1",fd);|\\ + ã€ä¾‹ã€‘:次図å³\\ +   \verb|fd=["z=sin(sqrt(abs(x^2+y^2)))","x=r*cos(t)","y=r*sin(t)",|\\ +         \verb|"r=[0,3]","t=[0,2*pi]"];|\\ +   \verb|Sf3data("1",fd);|\\ +\\ + \input{Fig3d/parabola}  \input{Fig3d/sf3ddata3}\\ +\\ +(3) $x=f(u,v),y=g(u,v),z=h(u,v),$\\ + ã“ã®å ´åˆï¼Œ(2)ã¨åŒºåˆ¥ã™ã‚‹ãŸã‚ã«ï¼Œ"p" ã‚’å…ˆé ã«ã¤ã‘ã¦ãŠã。\\ + ã€ä¾‹ã€‘çƒé¢\\ +  \verb|fd=["p","x=2*sin(u)*cos(v)","y=2*sin(u)*sin(v)","z=2*cos(u)",|\\ +     \verb|"u=[0,pi]","v=[0,2*pi]"];|\\ +  \verb|Sf3data("1",fd);|\\ + +      \input{Fig3d/sf3ddata4}\\ + +\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} + +\hypertarget{sfbdparadata}{} +\item[関数] Sfbdparadata(name,å¼,options1,options2) +\item[機能] 空間曲é¢ã®é™°ç·šå‡¦ç† +\item[説明] 曲é¢ã«ã¤ã„ã¦é™°ç·šå‡¦ç†ã‚’è¡Œã†ã€‚ + 曲é¢ã®å¼ã¯Sf3data()ã®å ´åˆã¨åŒã˜ã€‚ãŸã ã—,(2) ã¨(3)ã®ãƒ‘ターンã§ã¯å¼ã®æœ€å¾Œã«å¢ƒç•Œã®æŒ‡å®š ewns を明示ã™ã‚‹å¿…è¦ãŒã‚る。(3)ã§ã¯å¢ƒç•Œã®æŒ‡å®šã‚’" "(ä¸ã¯åŠè§’スペース)ã¨ã™ã‚‹ã€‚çœç•¥ã™ã‚‹ã¨ä¸è¦ãªå¢ƒç•Œç·šãŒè¡¨ç¤ºã•ã‚Œã‚‹ã“ã¨ãŒã‚る。\\ +options1ã¯ï¼Œ"Wait=n","r","m",線種。Wait ã®åˆæœŸå€¤ã¯30。\\ + "r","m"ã«é–¢ã—ã¦ã¯ï¼Œã‚ªãƒ—ションãªã—ã¾ãŸã¯ï¼Œâ€â€ ã®ã¨ã\\ +  i) データファイルãŒãªã‘ã‚Œã°ï¼Œæ–°ã—ã作る\\ +  ii) データファイルãŒæ—¢ã«ã‚ã‚Œã°ãれをèªã¿è¾¼ã‚€\\ + "m" ã®ã¨ã,強制的ã«ãƒ‡ãƒ¼ã‚¿ãƒ•ã‚¡ã‚¤ãƒ«ã‚’作り直ã™ã€‚\\ + "r" ã®ã¨ã,ã™ã§ã«ã‚るデータファイルをèªã¿è¾¼ã‚€ã€‚\\ +options2ã¯ï¼Œé™°ç·šã«é–¢ã™ã‚‹optionã§ï¼Œ"nodisp" ã¾ãŸã¯ 線種。"nodisp" ã«ã™ã‚‹ã¨é™°ç·šã¯æ¶ˆåŽ»ã•ã‚Œã‚‹ãŸã‚,輪éƒç·šã ã‘ãŒæã‹ã‚Œã‚‹ã“ã¨ã«ãªã‚‹ï¼ˆãƒ‡ãƒ•ã‚©ãƒ«ãƒˆï¼‰ã€‚options2 ã ã‘を指定ã™ã‚‹å ´åˆã¯ï¼Œoptions1 を空リストã«ã—ã¦ã¤ã‘ã‚‹å¿…è¦ãŒã‚る。\\ + + \textcolor{red}{ã€æ³¨æ„】} ã“ã®å‡¦ç†ã¯Scilabã§è¡Œã†ãŒï¼Œéžå¸¸ã«æ™‚é–“ãŒã‹ã‹ã‚‹ãŸã‚,ã“ã®é–¢æ•°ã‚’実行ã—ãŸçŠ¶æ…‹ã§ç”»é¢ä¸Šã®ã‚¹ãƒ©ã‚¤ãƒ€ã‚’å‹•ã‹ã—ãŸã‚Šã—ãªã„ã“ã¨ã€‚何ã‹æ“作を行ã†å ´åˆã¯ï¼Œã„ã£ãŸã‚“è¡Œé ã«//を書ã„ã¦ã‚³ãƒ¡ãƒ³ãƒˆåŒ–ã—ã¦ã‹ã‚‰è¡Œã†ã€‚\\ + +ã€ä¾‹ã€‘サドルé¢\\ +陰線を消去ã—ã¦è¡¨ç¤ºï¼ˆãƒ‡ãƒ•ã‚©ãƒ«ãƒˆï¼‰ï¼ˆä¸‹å›³å·¦ï¼‰ +\begin{verbatim} + fd=["x=x^2-y^2","x=[-2,2]","y=[-2,2]"]; + Sfbdparadata("1",fd); +\end{verbatim} +全体を実線ã§å¤ªã‚ã«ã—ã¦ï¼Œé™°ç·šã‚’点線ã§è¡¨ç¤ºï¼ˆä¸‹å›³å³ï¼‰ +\begin{verbatim} + fd=["x=x^2-y^2","x=[-2,2]","y=[-2,2]"]; + Sfbdparadata("1",fd,["dr,2"],["do"]); +\end{verbatim} +   \input{Fig3d/sfbdpara01}  \input{Fig3d/sfbdpara02} + +ã€ä¾‹ã€‘放物é¢\\ +デフォルト(下図左) +\begin{verbatim} + fd=["z=4-(x^2+y^2)","x=R*cos(T)","y=R*sin(T)","R=[0,2]","T=[0,2*pi]","e"]; + Sfbdparadata("1",fd); +\end{verbatim} +é™°ç·šã‚’ç ´ç·šã§è¡¨ç¤ºï¼ˆä¸‹å›³å³ï¼‰ +\begin{verbatim} + fd=["z=4-(x^2+y^2)","x=R*cos(T)","y=R*sin(T)","R=[0,2]","T=[0,2*pi]","e"]; + Sfbdparadata("1",fd,[],["da"]); +\end{verbatim} +   \input{Fig3d/sfbdpara03}  \input{Fig3d/sfbdpara04 +} + +\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} + +\hypertarget{skeletonparadata}{} +\item[関数] Skeletonparadata(name,PDリスト,PDリスト,option) +\item[機能] 陰線処ç†ï¼ˆã‚¹ã‚±ãƒ«ãƒˆãƒ³å‡¦ç†ï¼‰ã‚’ãŠã“ãªã† +\item[説明] æç”»ã•ã‚Œã¦ã„ã‚‹ç·šã¨è»¸ã«ã¤ã„ã¦é™°ç·šå‡¦ç†ã‚’ãŠã“ãªã†ã€‚\\ +第2引数ã®ç·šï¼ˆãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ï¼‰ãŒï¼Œç¬¬ï¼“引数ã®ç·šï¼ˆãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ï¼‰ã«ã‚ˆã£ã¦éš ã•ã‚Œã‚‹éƒ¨åˆ†ã‚’消去ã™ã‚‹ã€‚第2,第3引数をçœç•¥ã—ãŸå ´åˆã¯ï¼Œã™ã¹ã¦ã®ç·šã«ã¤ã„ã¦ï¼Œäº’ã„ã®é™°ç·šå‡¦ç†ã‚’ãŠã“ãªã†ã€‚optionã§æ¶ˆåŽ»ã™ã‚‹éƒ¨åˆ†ã®é•·ã•ã‚’指定ã§ãる。\\ + \\ +ã€ä¾‹ã€‘螺旋ã¨ç·šåˆ†ï¼Œåº§æ¨™è»¸ã®é™°ç·šå‡¦ç†\\ +次ã®ã‚ˆã†ã«èžºæ—‹ã¨ç·šåˆ†ï¼Œåº§æ¨™è»¸ã‚’æã„ã¦ãŠã。 +\begin{verbatim} + Xyzax3data("","x=[-5,5]","y=[-5,4]","z=[-5,3]"); + Putpoint3d(["A",[0,-2,-2]],"fix"); + Putpoint3d(["B",[-1,1,3]],"fix"); + Spaceline([A,B]); + Spacecurve("1","[2*cos(t),2*sin(t),0.2*t]","t=[0,4*pi]",["Num=100"]); +\end{verbatim} +座標軸ã®ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã¯ ax3d,線分㯠AB3d,螺旋㯠sc3d1 ã§ã‚る。ã“ã‚Œã«å¯¾ã—,\\ + \verb|Skeletonparadata("1");|\\ +   æç”»ã•ã‚Œã¦ã„ã‚‹ç·šã¨è»¸ã«ã¤ã„ã¦é™°ç·šå‡¦ç†ã‚’ãŠã“ãªã†ã€‚(図左)\\ + \verb|Skeletonparadata("1",[2]);|\\ +   é‡ãªã£ãŸéƒ¨åˆ†ã®ç©ºãã‚’2ã«ã™ã‚‹ã€‚(図ä¸å¤®ï¼‰\\ + \verb|Skeletonparadata("1",["AB3d","ax3d"],["sc3d1"]);|\\ +   螺旋ã«ã‚ˆã£ã¦éš れる部分ã ã‘消去ã™ã‚‹ã€‚(図å³ï¼‰\\ + +\input{Fig3d/skeletonparadata01}  \input{Fig3d/skeletonparadata02} +  \input{Fig3d/skeletonparadata03} + +ã“ã®ã»ã‹ï¼Œ\\ + \verb|Skeletonparadata("1",["AB3d","ax3d"],["sc3d1"],[2]);|\\ + \verb|Skeletonparadata("1",["AB3d"],["ax3d","sc3d1"]);|\\ +ã‚‚å¯èƒ½ã§ã‚る。 + +\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} + +\hypertarget{spacecurve}{} +\item[関数] Spacecurve(name,å¼,定義域,options) +\item[機能] 空間曲線をæã +\item[説明] 媒介変数ã§è¡¨ã•ã‚ŒãŸæ›²ç·šã‚’æã。optionã¯è§£åƒåº¦ Num\\ + \\ +ã€ä¾‹ã€‘螺旋をæã\\ +  \verb|Spacecurve("1","[2*cos(t),2*sin(t),0.2*t]","t=[0,4*pi]",["Num=100"]);|\\ + \\ +     \input{Fig3d/rasen}\\ + +\hypertarget{spaceline}{} +\item[関数] Spaceline(リスト) +\item[機能] 折れ線をæã +\item[説明] 点ã®å称ã¾ãŸã¯åº§æ¨™ã®ãƒªã‚¹ãƒˆã‚’与ãˆã¦æŠ˜ã‚Œç·šã‚’æã。平é¢ã§ã® Listplot() ã«ã‚ãŸã‚‹ã€‚\\ +ã€ä¾‹ã€‘Spaceline("1",[[2,5,1],[4,2,3]]);  指定ã•ã‚ŒãŸï¼’点をçµã‚“ã 線分をæã。\\ +  Spaceline([A,B,C,A]); 作図ã•ã‚Œã¦ã„る2点A,B,Cã‚’çµã‚“ã 三角形をæã。\\ +  options ã¯ç·šç¨®ï¼ˆdr,da,do)\\ + \\ + +\hypertarget{translatedata3d}{} +\item[関数] Translatedata3d(name,PD,平行移動é‡) +\item[機能] 空間プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã‚’平行移動 +\item[説明] PDã§è¡¨ã•ã‚Œã‚‹å›³å½¢ã‚’,平行移動ã™ã‚‹ã€‚\\ + \\ +ã€ä¾‹ã€‘曲線 sc3d1 ã‚’y軸方å‘ã«ï¼’ã ã‘平行移動ã™ã‚‹ã€‚\\ +  \verb|Translatedata3d("1",["sc3d1"],[0,2,0]);|\\ +  çµæžœã¨ã—ã¦ï¼Œã‚‚ã¨ã®æ›²ç·šã¨å¹³è¡Œç§»å‹•ã—ãŸæ›²ç·šã®ï¼’ã¤ãŒæã‹ã‚Œã‚‹ã€‚\\ + \\ +ã€ä¾‹ã€‘多é¢ä½“ã®å¹³è¡Œç§»å‹•\\ + VertexEdgeFace() ã§æã„ãŸå¤šè§’å½¢ã¯ã“ã®é–¢æ•°ã§ã¯å¹³è¡Œç§»å‹•ã§ããªã„ã®ã§ï¼Œé¢ãƒ‡ãƒ¼ã‚¿ã‚’直接æ“作ã—ã¦å¹³è¡Œç§»å‹•ã‚’è¡Œã†ã€‚\\ + ãŸã¨ãˆã°ï¼Œå°æž—・鈴木・三谷ã«ã‚ˆã‚‹å¤šé¢ä½“データ polyhedrons obj を用ã„ã¦æ£å…«é¢ä½“ã‚’æãå ´åˆï¼Œæ¬¡ã®ã‚ˆã†ã«ã™ã‚‹ã€‚$y$軸方å‘ã«ï¼’ã ã‘平行移動ã™ã‚‹å ´åˆã§ã‚る。\\ +\begin{verbatim} + Setdirectory( Dirhead+"/data/polyhedrons_obj"); + phd=Readobj("r02.obj",["size=2"]); + Setdirectory(Dirwork); + dn=length(phd_1); + repeat(dn,s,phd_1_s=phd_1_s+[0,2,0]); + VertexEdgeFace("1",phd,["Edg=nogeo"]); +\end{verbatim} +   \input{Fig3d/translate01} + +\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} + +\hypertarget{translatept3d}{} +\item[関数] Translatept3d(座標,平行移動é‡) +\item[機能] 空間点を平行移動 +\item[説明] 点を平行移動ã™ã‚‹ã€‚\\ + \\ +ã€ä¾‹ã€‘点A(1,0,0) ã‚’(-1,1,1)ã ã‘平行移動ã—ãŸç‚¹ã‚’Bã¨ã™ã‚‹ã€‚点Aã®ç©ºé–“座標㯠A3d ã§è¡¨ã•ã‚Œã‚‹ã€‚ +\begin{verbatim} + Putpoint3d(["A",[1,0,0]],"fix"); + pt=Translatept3d(A3d,[-1,1,1]); + Putpoint3d(["B",pt],"fix"); +\end{verbatim} + \\ +\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} + +\hypertarget{vertexedgeface}{} +\item[関数] VertexEdgeFace(é¢ãƒ‡ãƒ¼ã‚¿,options) +\item[機能] 多é¢ä½“ã®é¢ãƒ‡ãƒ¼ã‚¿ã‚’用ã„ã¦å¤šé¢ä½“ã‚’æã +\item[説明] é¢ãƒ‡ãƒ¼ã‚¿ã¯ï¼Œé ‚点リストã¨ï¼Œé¢ãƒªã‚¹ãƒˆã‹ã‚‰ãªã‚‹ã€‚é¢ãƒªã‚¹ãƒˆã¯ï¼Œå„é¢ã‚’構æˆã™ã‚‹é ‚点を,外å´ã‹ã‚‰è¦‹ã¦å時計回り(左回り)ã«ä¸¦ã¹ãŸãƒªã‚¹ãƒˆã§ã‚る。\\ +ãŸã¨ãˆã°ï¼Œå››é¢ä½“ABCDã®é¢ãƒ‡ãƒ¼ã‚¿ã¯ï¼Œ[[A,B,C,D],[[1,2,3],[1,2,4],[1,3,4],[2,3,4]]] ã¨ãªã‚‹ã€‚\\ +4点A,B,C,Dã‚’ã¨ã£ã¦ãŠã,ã“ã®ãƒªã‚¹ãƒˆã‚’引数ã«ä¸Žãˆã‚‹ã¨ï¼Œå››é¢ä½“ã®è¾ºãŒæã‹ã‚Œã‚‹ã€‚\\ +ã“ã®ã¨ã,option ãŒãªã‘ã‚Œã°ï¼ŒCinderellaã®å¹¾ä½•è¦ç´ ã¨ã—ã¦è¾ºãŒæã‹ã‚Œã‚‹ãŒï¼Œãã‚Œã ã‘ã§ã¯TeXã«ã¯æ›¸ã出ã•ã‚Œãªã„ã®ã§æ³¨æ„ãŒå¿…è¦ã§ã‚る。(変数未定義ã®ã‚¨ãƒ©ãƒ¼ã«ãªã‚‹) TeXã«æ›¸ã出ã™ã«ã¯ï¼Œoptionã¨ã—㦠["Edg=nogeo"] ã‚’ã¤ã‘る。ã“ã®ã¨ãã¯å„辺ã¯å¹¾ä½•è¦ç´ ã«ãªã‚‰ãªã„。\\ +ã¾ãŸï¼Œ"Pt=free" optionã‚’ã¤ã‘ã‚‹ã¨ï¼Œé ‚点ã¯è‡ªç”±ç‚¹ã¨ãªã‚Šï¼Œãƒžã‚¦ã‚¹ãƒ‰ãƒ©ãƒƒã‚°ã§å‹•ã‹ã™ã“ã¨ãŒã§ãる。\\ +生æˆã•ã‚Œã‚‹ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã¯ï¼Œ\\ +phv3dï¼šé ‚ç‚¹ã®ãƒªã‚¹ãƒˆ\\ +phe3d:辺ã®ãƒªã‚¹ãƒˆ\\ +phf3d:é¢ãƒªã‚¹ãƒˆ\\ +ãªãŠï¼Œãã‚Œãžã‚Œæœ«å°¾ã«nameãŒä»˜åŠ ã•ã‚Œã‚‹ã€‚\\ + \\ +ã€ä¾‹ã€‘:æ£å››é¢ä½“ã‚’æã +\begin{verbatim} + Putpoint3d("A",2*[-1,-1/sqrt(3),0],"fix"); + Putpoint3d("B",2*[1,-1/sqrt(3),0],"fix"); + Putpoint3d("C",2*[0,sqrt(3)-1/sqrt(3),0],"fix"); + Putpoint3d("D",2*[0,0,sqrt(3)],"fix"); + phd=Concatobj([[A,B,C],[A,B,D],[A,C,D],[B,C,D]]); + VertexEdgeFace("1",phd,["Edg=nogeo"]); +\end{verbatim} +    \input{Fig3d/vertex01} + +\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} + +\hypertarget{wireparadata}{} +\item[関数] Wireparadata(name,PD,å¼,æ•´æ•°,æ•´æ•°,optons1,options2) +\item[機能] 曲é¢ã®ãƒ¯ã‚¤ãƒ¤ãƒ•ãƒ¬ãƒ¼ãƒ を陰線処ç†ã—ã¦æã +\item[説明] PDã¯ï¼Œç¬¬ï¼“引数ã®å¼ã§æã„ãŸãƒ¯ã‚¤ãƒ¤ãƒ•ãƒ¬ãƒ¼ãƒ モデルã®ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿å。第4,第5引数ã¯åˆ†å‰²ç·šã®æ•°ã€‚\\ +options1 ã«ã¯ "r","m","Wait=n" ãŒæŒ‡å®šã§ãる。Wait ã®åˆæœŸå€¤ã¯30。\\ + "r","m"ã«é–¢ã—ã¦ã¯ï¼Œã‚ªãƒ—ションãªã—ã¾ãŸã¯ï¼Œâ€â€ ã®ã¨ã\\ +  i) データファイルãŒãªã‘ã‚Œã°ï¼Œæ–°ã—ã作る\\ +  ii) データファイルãŒæ—¢ã«ã‚ã‚Œã°ãれをèªã¿è¾¼ã‚€\\ + "m" ã®ã¨ã,強制的ã«ãƒ‡ãƒ¼ã‚¿ãƒ•ã‚¡ã‚¤ãƒ«ã‚’作り直ã™ã€‚\\ + "r" ã®ã¨ã,ã™ã§ã«ã‚るデータファイルをèªã¿è¾¼ã‚€ã€‚\\ +optons2 ã«ã¯é™°ç·šã®è¡¨ç¤ºæ–¹æ³•ã«ã¤ã„㦠"nodisp" ã¾ãŸã¯ç·šç¨® ãŒã‚る。デフォルトã¯"nodisp" 。何も指定ã—ãªã„ã¨ãã¯ï¼Œ[""] (空文å—)を書ã„ã¦ãŠã。\\ +曲é¢ã®é™°ç·šå‡¦ç†ã‚’è¡Œã†ã®ã§ï¼ŒSfbdparadata() ã¨ãƒšã‚¢ã§ä½¿ã†ã€‚\\ + \\ + \textcolor{red}{ã€æ³¨æ„】} \\ + ã“ã®å‡¦ç†ã¯Scilabã§è¡Œã†ãŒï¼ŒSfbdparadata() ã¨ãƒšã‚¢ã§ä½¿ã†ãŸã‚ã«éžå¸¸ã«æ™‚é–“ãŒã‹ã‹ã‚‹ã€‚コンピュータã®æ€§èƒ½ã«ã‚‚よるãŒï¼’分以上ã‹ã‹ã“ã¨ã‚‚ã‚る。ã—ãŸãŒã£ã¦ï¼Œã“ã®é–¢æ•°ã‚’実行ã—ãŸçŠ¶æ…‹ã§ç”»é¢ä¸Šã®ã‚¹ãƒ©ã‚¤ãƒ€ã‚’å‹•ã‹ã—ãŸã‚Šã—ãªã„ã“ã¨ã€‚何ã‹æ“作を行ã†å ´åˆã¯ï¼Œã„ã£ãŸã‚“è¡Œé ã«//を書ã„ã¦ã‚³ãƒ¡ãƒ³ãƒˆåŒ–ã—ã¦ã‹ã‚‰è¡Œã†ã€‚çƒé¢ã‚„トーラスã®ã‚¿ã‚¤ãƒ—ã§ã¯ï¼ŒTexview ã‚„ Exekc ボタンã®å応もéˆããªã‚‹ã€‚Exekc ãŒå‹•ä½œã—ãªã„ï¼ˆã‚¿ã‚¤ãƒ ã‚¢ã‚¦ãƒˆï¼‰å ´åˆã¯ï¼Œkc.sh(Mac) / kc.bat(Windows)を直接起動ã™ã‚Œã° TeX ã®å›³ãŒã§ãる。\\ + \\ +ã€ä¾‹ã€‘å¼ã®ã‚¿ã‚¤ãƒ—別ã«ä¾‹ã‚’示ã™ã€‚\\ + \\ +サドルé¢ï¼šä¸‹å›³å·¦ +\begin{verbatim} + fd=["z=x^2-y^2","x=[-2,2]","y=[-2,2]"]; + Sfbdparadata("1",fd); + Wireparadata("1","sfbd3d1",fd,4,5,[""]); +\end{verbatim} + \\ +回転放物é¢ï¼šä¸‹å›³ä¸å¤® +\begin{verbatim} + fd=["z=4-(x^2+y^2)","x=r*cos(t)","y=r*sin(t)","r=[0,2]","t=[0,2*pi]","e"]; + Sfbdparadata("1",fd); + Wireparadata("1","sfbd3d1",fd,5,7,[""]); +\end{verbatim} + \\ +çƒé¢ï¼šä¸‹å›³å³\\ + ã“ã®ã‚¿ã‚¤ãƒ—ã§ã¯ï¼Œåª’介変数形å¼ã®è˜åˆ¥ã®ãŸã‚,先é ã« "p" ã‚’ã¤ã‘ã¦ãŠãã¨ã‚ˆã„。 +\begin{verbatim} + fd=["p","x=2*sin(u)*cos(v)","y=2*sin(u)*sin(v)","z=2*cos(u)","u=[0,pi]", +   "v=[0,2*pi]","s"]; + Sfbdparadata("1",fd); +  Wireparadata("1","sfbd3d1",fd,12,12,[""]); +\end{verbatim} + \\ +\input{Fig3d/wirepara1} \input{Fig3d/wirepara2} \input{Fig3d/wirepara3}\\ + \\ +ã€ä¾‹ã€‘çƒé¢ã§åº§æ¨™è»¸ã‚’陰線処ç†ã—ã¦ç‚¹ç·šã§è¡¨ã™ã€‚(次図左) +\begin{verbatim} + fd=["p","x=2*sin(u)*cos(v)","y=2*sin(u)*sin(v)","z=2*cos(u)","u=[0,pi]", +   "v=[0,2*pi]","s"]; + Sfbdparadata("1",fd); + Wireparadata("1","sfbd3d1",fd,12,12,[""]); + Crvsfparadata("1","ax3d","sfbd3d1",fd,[],["do"]); +\end{verbatim} +ã€ä¾‹ã€‘トーラスをæã(次図å³ï¼‰ +\begin{verbatim} + fd=["p","x=(2+cos(u))*cos(v)","y=(2+cos(u))*sin(v)","z=sin(u)", +   "u=[0,2*pi]","v=[0,2*pi]","s"]; + Sfbdparadata("1",fd); + Wireparadata("1","sfbd3d1",fd,12,12,[""]); +\end{verbatim} + \\ +  \input{Fig3d/wirepara4}  \input{Fig3d/wirepara5}\\ + +\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} + \\ +\hypertarget{xyzax3data}{} +\item[関数] Xyzax3data(name,xã®ç¯„囲,yã®ç¯„囲,zã®ç¯„囲,options) +\item[機能] 座標軸をæã +\item[説明] æç”»é¢ã«åº§æ¨™è»¸ã‚’æã。nameã¯ç©ºæ–‡å—列ã§ã‚ˆã„。プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ ax3d ãŒä½œæˆã•ã‚Œã‚‹ã€‚option ã¯æ¬¡ã®2ã¤ã€‚\\ +矢ã˜ã‚Šï¼š"an":nã¯æ•°å—ã§çŸ¢ã˜ã‚Šã®å¤§ãã•ã€‚nã¯ãªãã¦ã‚‚よã„。\\ +原点O:"Onesw":neswã¯å¾®å°ä½ç½®ã€‚æ•°å—も付ã‘られる。neswã‚’ã¤ã‘ãªã„å ´åˆã®åˆæœŸå€¤ã¯sw。\\ +ã€ä¾‹ã€‘デフォルトã®åº§æ¨™è»¸\\ +    \verb|Xyzax3data("","x=[-5,5]","y=[-5,5]","z=[-5,5]");|\\ +   矢ã˜ã‚Šã‚’ã¤ã‘ã‚‹\\ +    \verb|Xyzax3data("","x=[-5,5]","y=[-5,5]","z=[-5,5]","a");|\\ +   矢ã˜ã‚Šã‚’大ããã™ã‚‹\\ +    \verb|Xyzax3data("","x=[-5,5]","y=[-5,5]","z=[-5,5]",["a2"]);|\\ +   原点ã®Oを表示ã™ã‚‹ã€‚\\ +    \verb|Xyzax3data("","x=[-5,5]","y=[-5,5]","z=[-5,5]",["O"]);|\\ +   原点ã®Oã®ä½ç½®ã‚’調整ã—ã¦å³ä¸Šã«è¡¨ç¤ºã™ã‚‹ã€‚ã‚„ã˜ã‚Šã‚‚ã¤ã‘る。\\ +    \verb|Xyzax3data("","x=[-5,5]","y=[-5,5]","z=[-5,5]",["a","Oe2n2"]);|\\ + +ã€æ³¨æ„】Putaxes3d() ã§ç‚¹ã‚’å–ã‚‹ã¨åŽŸç‚¹ã«ç‚¹OãŒä½œæˆã•ã‚Œã‚‹ã€‚ã“ã®ç‚¹åOã¨è¡¨ç¤ºãŒé‡è¤‡ã™ã‚‹ã®ãŒç…©ã‚ã—ã„å ´åˆã¯ï¼Œä½œå›³å¾Œã«ã“ã®optionã‚’ã¤ã‘ã¦ã‹ã‚‰å‡ºåŠ›ã™ã‚‹ã¨ã‚ˆã„。\\ + + +\hypertarget{xyzcoord}{} +\item[関数] Xyzcoord(P.x,P.y,Pz.y) +\item[機能] 主副画é¢ã§æ±ºã¾ã‚‹ç‚¹ã®åº§æ¨™ +\item[説明] Cinderellaã®æç”»é¢ä¸Šã®ç‚¹ãŒè¡¨ã™ç©ºé–“座標を求ã‚ã‚‹\\ + 点Pã«ã¤ã„ã¦ï¼Œä¸»ç”»é¢ã®ç‚¹ï¼°ã«å¯¾å¿œã™ã‚‹ã®ãŒå‰¯ç”»é¢ã®Pzã§ã‚る。点Pã®ï¼’次元座標ã¯P.x,P.yã§ï¼ŒPzã®y座標ã¯Pz.yã§è¡¨ã•ã‚Œã‚‹ã€‚ã“れを引数ã¨ã—ã¦ä¸Žãˆã‚‹ã¨ï¼Œç‚¹ï¼°ã®ç©ºé–“座標ãŒè¿”ã•ã‚Œã‚‹ã€‚\\ + \\ +ã€ä¾‹ã€‘点Aをドラッグã—ã¦å‹•ã‹ã—ãŸã¨ã,Aã®åº§æ¨™ã‚’求ã‚る。\\ + \verb|println(Xyzcoord(A.x,A.y,Az.y));|\\ + ã«ã‚ˆã‚Šï¼Œã‚³ãƒ³ã‚½ãƒ¼ãƒ«ã«åº§æ¨™ãŒè¡¨ç¤ºã•ã‚Œã‚‹ã€‚\\ + +\end{description} +\newpage +% 逆引辞典 ================================== +\section{逆引辞典} + +幾何ã®ä½œå›³ã¯ï¼Œè£œåŠ©ç·šãªã©ã¯Cinderellaã®ä½œå›³ãƒ„ールã‹Cindyscriptを用ã„ã¦æã,TeXã«å‡ºåŠ›ã™ã‚‹ç·šã‚’KeTCindyã§æãã¨ï¼ŒåŠ¹çŽ‡ã®ã‚ˆã„作図ãŒã§ãる。 + +関数ã®ã‚°ãƒ©ãƒ•ã‚‚,Cindyscriptã§æãã‚‚ã®ã¨ï¼ŒTeXã«å‡ºåŠ›ã™ã‚‹KeTCindyã§æãã‚‚ã®ã‚’使ã„分ã‘ã‚‹ã¨ã‚ˆã„。 + +以下ã§ï¼Œã€Cinderella】ã¯ï¼ŒCinderellaã®ä½œå›³ãƒ„ールを用ã„ãŸæ画,ã€Cindyscript】ã¯Cindyscriptã®é–¢æ•°ï¼Œã€KeTCindy】ãŠã‚ˆã³ã€KeTCindy3D】ã¯KeTCindyã®é–¢æ•°ã‚’示ã™ã€‚\\ + +\subsection{点ã®ä½œå›³} +\subsubsection{点をã¨ã‚‹} + +\begin{tabbing} +12\=34567890123456789\=\kill\\ + +\>ã€Cinderella】 \>ã€Œç‚¹ã‚’åŠ ãˆã‚‹ã€ãƒ„ール \includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/single-add.png} を用ã„ã‚‹\\ + \>ã€KeTCindy】  \>Drwpt(点),Drawpoint(点),Pointdata(name,リスト),Putpoint(name,座標),\\ + \>ã€KeTCindy3D】\>Drawpoint3d(座標),Putpoint3d(リスト),\\ +\end{tabbing} + +点をã¨ã‚‹é–¢æ•°ã¯ã„ãã¤ã‹ã‚る。Cinderellaã®æç”»é¢ä¸Šã«å˜ã«ç‚¹ã‚’表示ã™ã‚‹ã‚‚ã®ï¼Œå¹¾ä½•ç‚¹ã‚’作るもã®ï¼ŒTeXã«å‡ºåŠ›ã™ã‚‹ãŸã‚ã®ã‚‚ã®ï¼Œã¨ç”¨é€”ãŒç•°ãªã‚‹ã€‚ +Putpoint(),Putpoint3d()ã¯åº§æ¨™ã‚’与ãˆã¦å¹¾ä½•ç‚¹ã‚’作るãŒï¼Œä½œå›³ãƒ„ールã®ã€Œç‚¹ã‚’åŠ ãˆã‚‹ã€ã§ä½œå›³ã—ã¦ãŠã„ã¦ã‚¹ã‚¯ãƒªãƒ—トã§åº§æ¨™ã‚’指定ã—ã¦ã‚‚よã„。 + + \\ +ã€ä¾‹ã€‘座標(1,1) ã«ç‚¹Aã‚’ã¨ã‚‹ã€‚\\ +  (方法1) ç£çŸ³ãƒ„ール \includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/snap.png} ã§ã‚¹ãƒŠãƒƒãƒ—モードã«ã—ã¦ãŠã,作図ツールã§ç‚¹ã‚’ã¨ã‚‹ã€‚\\ +  (方法2)KeTCindyã®é–¢æ•°ã§ \verb|Putpoint("A,[1,1])| ã¨ã™ã‚‹ã€‚ + +(方法1)ã§ã¯ï¼Œã“ã®ç‚¹ã¯è‡ªç”±ç‚¹ã¨ãªã‚‹ã€‚固定点ã«ã™ã‚‹ã«ã¯ï¼Œã‚¤ãƒ³ã‚¹ãƒšã‚¯ã‚¿ã§ã€Œãƒ”ンã§ç•™ã‚ã‚‹ã€ã«ã™ã‚‹ã€‚ã¾ãŸï¼Œç‚¹åã¯CinderellaãŒè‡ªå‹•çš„ã«ã¤ã‘ã‚‹ã®ã§ï¼Œå¤‰æ›´ã™ã‚‹ã«ã¯ï¼Œç‚¹ã‚’é¸æŠžã—ã¦ãŠã,インスペクタを開ã„ã¦ã€Œè¦ç´ ã®æƒ…å ±ã€ã§å¤‰æ›´ã™ã‚‹ã€‚ + +[1,1] ã®ã‚ˆã†ãªæ ¼å点ã§ãªã„å ´åˆã¯ï¼Œä½œå›³ãƒ„ールã§é©å½“ãªä½ç½®ã«ç‚¹ã‚’ã¨ã£ãŸã®ã¡ï¼ŒCindyscript㧠\verb|A.xy=[2,sqrt(3)]| ã®ã‚ˆã†ã«ã—ã¦åº§æ¨™ã‚’指定ã™ã‚‹ã€‚ + +(方法2)ã§ã¯ï¼Œã“ã®ç‚¹ã¯å›ºå®šç‚¹ã¨ãªã‚‹ã€‚自由点ã¨ã™ã‚‹ã«ã¯ \verb|Putpoint("A",[1,1],[A.x,A.y])| ã¨ã™ã‚‹å¿…è¦ãŒã‚る。 + +ã“れらã®æ–¹æ³•ã§ç‚¹ã‚’å–ã£ãŸã¨ã,画é¢ä¸Šã«ã¯ç‚¹ãŒè¡¨ç¤ºã•ã‚Œã‚‹ãŒTeXã®å›³ã«ã¯å‡ºåŠ›ã•ã‚Œãªã„。TeXã®å›³ã«å‡ºåŠ›ã™ã‚‹ã«ã¯ï¼ŒKeTCindyã®Drwpt()ã¾ãŸã¯ï¼ŒDrawpoint()を用ã„ã‚‹å¿…è¦ãŒã‚る。\\ + + 以下ã¯ï¼Œãã‚Œãžã‚Œã®é–¢æ•°ã«ã¤ã„ã¦ã®æ¯”較表ã§ã‚る。「æç”»ã€ã¯ç·‘色ã®ç‚¹ã§æç”»ã™ã‚‹ãŒå¹¾ä½•ç‚¹ã¯ä½œã‚‰ãªã„。\\ + \\ +     \input{Fig/poiintable} +\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} + +\subsubsection{点ã®å¤§ãã•ã‚’変ãˆã‚‹} + +\begin{tabbing} +12\=34567890123456\=\kill\\ + +\>ã€Cinderella】 \>インスペクタã®ã€Œè¡¨ç¤ºæ–¹æ³•ã€ã‚’使ã†\\ +\>ã€Cindyscript】 \>A.size=n\\ + \>ã€KeTCindy】 \>Ptsize(n),Setpt(n)\\ +\end{tabbing} + +インスペクタ,Cindyscriptã«ã‚ˆã‚‹ç‚¹ã®å¤§ãã•ã®è¨å®šã¯ç”»é¢ä¸Šã«ã¯åæ˜ ã•ã‚Œã‚‹ãŒï¼ŒTeXã«ã¯æ›¸ã出ã•ã‚Œãªã„。逆ã«ï¼ŒKeTCindyã§è¨å®šã—ãŸç‚¹ã®å¤§ãã•ã¯ï¼ŒCinderellaã®ç”»é¢ä¸Šã«ã¯åæ˜ ã•ã‚Œãªã„。ãã®ã“ã¨ã‚’考慮ã®ä¸Šï¼Œé©å®œä½¿ã„分ã‘ã‚‹å¿…è¦ãŒã‚る。画é¢ä¸Šã®ç‚¹ã®å¤§ãã•ã¨ï¼ŒTeXã®å›³ã®ç‚¹ã®å¤§ãã•ã¯é€£å‹•ã—ãªã„ã®ã§æ³¨æ„ãŒå¿…è¦ã§ã‚る。 + +KeTCindyã®æ画関数を使ã£ã¦ç‚¹ã‚’ã¨ã‚‹ã¨ãã¯ï¼Œ["size=n"]オプションをã¤ã‘ã¦å¤§ãã•ã‚’è¨å®šã™ã‚‹ã“ã¨ã‚‚ã§ãる。 + +KeTCindyã§ã¯ï¼ŒDrwpt() ã¾ãŸã¯ Drawpoint() ã«ï¼ã‚ªãƒ—ションをã¤ã‘ã‚‹ã“ã¨ã§ç™½æŠœãã®ç‚¹ã‚’æãã“ã¨ãŒã§ãる。ãŸã ã—,ã“ã®å ´åˆï¼Œã“れよりã‚ã¨ã«æ›¸ã‹ã‚ŒãŸç·šã¯ç™½ã§æŠœã„ãŸã‚ã¨ã«æ›¸ã‹ã‚Œã¦ã—ã¾ã†ã®ã§ï¼Œè¨˜è¿°ã®é †ç•ªã‚’考慮ã™ã‚‹å¿…è¦ãŒã‚る。\\ +\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} + +\subsubsection{曲線上ã«ç‚¹ã‚’ã¨ã‚‹} + +\begin{tabbing} +12\=34567890123456789\=\kill\\ + +\>ã€Cinderella】 \>ã€Œç‚¹ã‚’åŠ ãˆã‚‹ã€ãƒ„ールを用ã„ã‚‹\\ +\>ã€KeTCindy】  \>PutonCurve(name,PD,åˆæœŸå€¤)\\ +\>ã€KeTCindy3d】 \>PutonCurve3d(点å,PD)\\ +\end{tabbing} + +Cinderellaã®ä½œå›³ãƒ„ールã§æã„ãŸæ›²ç·šä¸Šã«ã¯ï¼Œã€Œç‚¹ã‚’åŠ ãˆã‚‹ã€ãƒ„ールã§ç‚¹ã‚’ã¨ã‚‹ã“ã¨ã§ï¼Œãã®ç‚¹ã¯æ›²ç·šä¸Šã ã‘ã‚’å‹•ã‹ã™ã“ã¨ãŒã§ãるよã†ã«ãªã‚‹ï¼ˆã‚¤ãƒ³ã‚·ãƒ‡ãƒ³ãƒˆï¼‰ã€‚作図ツールã§æã„ãŸæ›²ç·šã§ãªã‘ã‚Œã°ã“ã®æ–¹æ³•ã§ã¯æ›²ç·šä¸Šã«ç‚¹ã¯å–ã‚Œãªã„。 + +Cindyscriptã§æã„ãŸæ›²ç·šã®å ´åˆï¼ŒãŸã¨ãˆã°ï¼Œé–¢æ•°$f(x)$ã®ã‚°ãƒ©ãƒ•ä¸Šã«ç‚¹ã‚’ç½®ãã«ã¯ï¼ŒA.y=[A.x,f(A.x)] ã®ã‚ˆã†ã«ã™ã‚Œã°ã‚ˆã„。(ã‚らã‹ã˜ã‚点を作図ã—ã¦ãŠã) + +KeTCindyã®PutonCurve()を使ã†ã¨ï¼Œãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã‚’用ã„ã¦æ›²ç·šä¸Šã«ç‚¹ã‚’ã¨ã‚‹ã“ã¨ãŒã§ãる。ã¾ãŸï¼Œ +KeTCindyã§ç›´ç·šï¼Œç·šåˆ†ä¸Šã«å–ã‚ŠãŸã„å ´åˆã¯ï¼ŒPutonLine( ),PutonSeg( )を用ã„ã‚‹ã“ã¨ã‚‚ã§ãる。\\ +\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} + +\subsubsection{交点をã¨ã‚‹} +\begin{tabbing} +12\=34567890123456789\=\kill\\ + +\>ã€Cinderella】 \>「2ã¤ã®æ›²ç·šã®äº¤ç‚¹ã‚’求ã‚ã‚‹ã€ãƒ„ール \includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/intersection.png} を用ã„ã‚‹\\ + \>ã€KeTCindy】  \>Intersectcrvs(PD,PD), Crosspoint(name,PD,PD,リスト),\\ + \>        \> Putintersect(点å,PD,PD)\\ + \>ã€KeTCindy3D】  \>Intersectcrvsf(name,PD,å¼), IntersectsgpL(点å,線分,é¢,方法)\\ +\end{tabbing} + +Cinderellaã®ä½œå›³æ©Ÿèƒ½ã§ä½œå›³ã—ãŸå¹¾ä½•è¦ç´ ã®äº¤ç‚¹ã¯Cinderellaã®ã€Œï¼’ã¤ã®æ›²ç·šã®äº¤ç‚¹ã‚’求ã‚ã‚‹ã€ãƒ„ールを用ã„ã‚‹ã®ãŒç°¡ä¾¿ã§ã‚ã‚‹ãŒï¼Œé–¢æ•°ã®ã‚°ãƒ©ãƒ•ã‚„方程å¼ã«ã‚ˆã‚‹æ›²ç·šã®å ´åˆã¯ï¼ŒCinderellaã®ä½œå›³æ©Ÿèƒ½ã¯ä½¿ãˆãªã„ã®ã§ï¼ŒKeTCindyã®é–¢æ•°ã‚’使ã†ã“ã¨ã«ãªã‚‹ã€‚ + +KeTCindyã®é–¢æ•°ã¯ï¼“通りã‚ã‚‹ãŒï¼Œintersectcrvs() ã¯ï¼’曲線ã®äº¤ç‚¹ã®ãƒªã‚¹ãƒˆã‚’å–å¾—ã™ã‚‹é–¢æ•°ãªã®ã§ï¼Œæ—¢å˜ã®ç‚¹ã‚’交点ã«æŒã£ã¦ããŸã„å ´åˆã¯ +\begin{verbatim} +   tmp=Intersectcrvs(gr1, crAB); +   P.xy=tmp_1; +\end{verbatim} +ã®ã‚ˆã†ã«ã™ã‚Œã°ã‚ˆã„。 + +Crosspoint(),Putintersect()ã§ã¯äº¤ç‚¹ã«æ–°ãŸãªå¹¾ä½•ç‚¹ã‚’作るã“ã¨ãŒã§ãる。 + +Intersectcrvsf() ã¯æ›²ç·šã¨æ›²é¢ã®äº¤ç‚¹ï¼Œ IntersectsgpL() ã¯ç›´ç·šã¨å¹³é¢ã®äº¤ç‚¹ã‚’求ã‚る。 + +\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} + +\subsection{ç·šã®ä½œå›³} +\subsubsection{線分を引ã} + +\begin{tabbing} +12\=34567890123456789\=\kill\\ + +\>ã€Cinderella】 \>ã€Œç·šåˆ†ã‚’åŠ ãˆã‚‹ã€ãƒ„ール \includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/segment.png} を用ã„る \\ +\>ã€Cindyscript】 \>draw([A,B]) \\ + \>ã€KeTCindy】  \>Listplot([A,B]) \\ + \>ã€KeTCindy3D】 \>Spaceline([A,B]) \\ +\end{tabbing} + Cinderellaã®æ画ツールを使ã†ã¨ï¼Œæã‹ã‚ŒãŸç·šåˆ†ã¯å¹¾ä½•è¦ç´ ã¨ãªã‚Šï¼Œã‚¤ãƒ³ã‚¹ãƒšã‚¯ã‚¿ã§ãã®å±žæ€§ï¼ˆè‰²ãƒ»å¤ªã•ãªã©ï¼‰ã‚’変ãˆã‚‹ã“ã¨ãŒã§ãる。ã¾ãŸï¼Œç‚¹ã‚’線分上ã«ã‚¤ãƒ³ã‚·ãƒ‡ãƒ³ãƒˆã•ã›ã‚‹ã“ã¨ãŒã§ãる。Scilabã«å‡ºåŠ›ã—ãªã„線分をæãã¨ãã¯ã“ã‚Œã§å分ã§ï¼Œã‚¹ã‚¯ãƒªãƒ—ãƒˆã‚‚ç°¡ç´ ã«ãªã‚‹ã€‚\\ + Cindyscript ã®draw関数ã¨KeTCindyã®Listplot関数ã§ã¯ï¼Œç·šã®è‰²ï¼Œå¤ªã•ï¼Œç·šç¨®ã‚’指定ã§ãる。ã¾ãŸï¼Œç‚¹ã®è˜åˆ¥åã§ã¯ãªã座標を引数ã«ã™ã‚‹ã“ã¨ã‚‚ã§ãる。\\ + 推奨ã™ã‚‹ã®ã¯ï¼Œè£œåŠ©ç·šãªã©ã¯Cinderellaã®æ画ツールã§æã,最終的ã«å¿…è¦ãªç·šã ã‘Listplot()ã§å‡ºåŠ›ã™ã‚‹æ–¹æ³•ã€‚\\ +\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} + + +\subsubsection{折れ線をæã} + +\begin{tabbing} +12\=34567890123456789\=\kill\\ + +\>ã€Cindyscript】 \>connect(点ã®ãƒªã‚¹ãƒˆ)\\ +\>ã€KeTCindy】  \>Listplot(点ã®ãƒªã‚¹ãƒˆ)\\ +\>ã€KeTCindy3D】 \>Spaceline(点ã®ãƒªã‚¹ãƒˆ)\\ +\end{tabbing} + +Cinderellaã®æ画ツールã§æŠ˜ã‚Œç·šã‚’æãã®ã¯ã‚¤ãƒ³ã‚¿ãƒ©ã‚¯ãƒ†ã‚£ãƒ–ã§ã¯ã‚ã‚‹ãŒæœ¬æ•°ãŒå¤šããªã‚‹ã¨ç¾å®Ÿçš„ã§ã¯ãªã„。ãŸã ,æã‹ã‚ŒãŸç·šåˆ†ã¯å¹¾ä½•è¦ç´ ã¨ãªã‚Šï¼Œã‚¤ãƒ³ã‚¹ãƒšã‚¯ã‚¿ã§ãã®å±žæ€§ï¼ˆè‰²ãƒ»å¤ªã•ãªã©ï¼‰ã‚’変ãˆã‚‹ã“ã¨ãŒã§ãる。折れ線全体ã®å±žæ€§ã‚’変ãˆã‚‹ã«ã¯ï¼Œã™ã¹ã¦ã®æŠ˜ã‚Œç·šã‚’åŒæ™‚ã«é¸æŠžã™ã‚‹ã€‚(Shift+クリック) + +Cindyscript ã®connect() 㨠KeTCindyã® Listplot() ,Spaceline()ã§ã¯ï¼Œå¼•æ•°ã«ç‚¹ã®ãƒªã‚¹ãƒˆã‚’与ãˆã‚Œã°æŠ˜ã‚Œç·šãŒæã‘る。 + +節点を明示ã—ãŸæŠ˜ã‚Œç·šã‚’æãã«ã¯ï¼ŒListplot()ã¨Drawpoint()を組ã¿åˆã‚ã›ã‚‹ã“ã¨ãŒè€ƒãˆã‚‰ã‚Œã‚‹ãŒï¼Œã‚らã‹ã˜ã‚点ã®ãƒªã‚¹ãƒˆã‚’作ã£ã¦ãŠãã®ãŒç°¡ä¾¿ã§ã‚る。 +\begin{verbatim} + Ptsize(3); + pd=[[1,2],[3,4],[6,2]]; + Pointdata("1",pd); + Listplot("1",pd); +\end{verbatim} + +KeTCindy3Dã®å ´åˆã¯ç©ºé–“座標ã§ç‚¹ã‚’TeXã«æ›¸ã出ã™ã“ã¨ãŒã§ããªã„ã®ã§ï¼Œæ¬¡ã®ã‚ˆã†ã«ç‚¹ã‚’作ã£ã¦æ›¸ã出ã™ã€‚ +\begin{verbatim} + Putpoint3d(["A",[2,0,0],"B",[2,0,2],"C",[2,2,2]],"fix"); + Spaceline([A,B,C]); + Ptsize(3); + Drawpoint([A,B,C]); +\end{verbatim} +節点ãŒå¤šã„å ´åˆã¯ï¼Œç©ºé–“ã®ç‚¹ã®ãƒªã‚¹ãƒˆã¨ï¼ŒæŠ•å½±ã—ãŸç‚¹ã®ãƒªã‚¹ãƒˆã‚’作ã£ã¦æç”»ã™ã‚‹ã€‚ +\begin{verbatim} + pt=[[2,0,0],[2,0,2],[2,2,2],[0,2,2],[0,4,2],[0,4,4]]; + pt2d=apply(pt,[Projcoordpara(#)_1,Projcoordpara(#)_2]); + Spaceline("1",pt); + Ptsize(4); + Drawpoint(pt2d); +\end{verbatim} +       \input{Gfig/oresenex01}\\ + +点ã®åå‰ãŒå¿…è¦ã§ã‚ã‚Œã°\\ +  \verb|pname=apply(1..6,"P"+text(#));|\\ +ã®ã‚ˆã†ã«ã—ã¦ï¼Œåå‰ãƒªã‚¹ãƒˆã‚’作る。\\ +\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} + + +\subsubsection{直線を引ã} + +\begin{tabbing} +12\=34567890123456789\=\kill\\ + \\ +\>ã€Cinderella】 \>ã€Œç›´ç·šã‚’åŠ ãˆã‚‹ã€ãƒ„ール \includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/multi-add-line.png} を用ã„る \\ +\>ã€Cindyscript】 \>draw(join([1,2],[2,-1]))\\ + \>ã€KeTCindy】  \>Lineplot([A,B]) \\ +\end{tabbing} + Cinderellaã®æ画ツールを使ã†ã¨ï¼Œæã‹ã‚ŒãŸç·šåˆ†ã¯å¹¾ä½•è¦ç´ ã¨ãªã‚Šï¼Œã‚¤ãƒ³ã‚¹ãƒšã‚¯ã‚¿ã§ãã®å±žæ€§ï¼ˆè‰²ãƒ»å¤ªã•ãƒ»ç·šç¨®ãªã©ï¼‰ã‚’変ãˆã‚‹ã“ã¨ãŒã§ãる。ã¾ãŸï¼Œç‚¹ã‚’直線上ã«ã‚¤ãƒ³ã‚·ãƒ‡ãƒ³ãƒˆã•ã›ã‚‹ã“ã¨ãŒã§ãる。Scilabã«å‡ºåŠ›ã—ãªã„ç›´ç·šã‚’æãã¨ãã¯ã“ã‚Œã§å分ã§ï¼Œã‚¹ã‚¯ãƒªãƒ—ãƒˆã‚‚ç°¡ç´ ã«ãªã‚‹ã€‚åŠç›´ç·šã«ã—ãŸã„å ´åˆã¯ï¼Œç·šåˆ†ã‚’æã„ã¦ä¸€æ–¹ã®ç«¯ç‚¹ã‚’æç”»é ˜åŸŸï¼ˆSW,NE)ã®å¤–ã«å‡ºã—ã¦è¦‹ã‹ã‘上åŠç›´ç·šã«ã™ã‚Œã°ã‚ˆã„。 + +Cindyscript ã®draw関数ã¨KeTCindyã®Lineplot関数ã§ã¯ï¼Œç·šã®è‰²ï¼Œå¤ªã•ï¼Œç·šç¨®ã‚’指定ã™ã‚‹ã“ã¨ãŒã§ãる。点ã®è˜åˆ¥åã§ã¯ãªã座標を引数ã«ã™ã‚‹ã“ã¨ã‚‚ã§ãる。 + +TeXã¸ã®å‡ºåŠ›ã¯ï¼ŒLineplot()ã« "+" オプションをã¤ã‘ã‚‹ã¨åŠç›´ç·šã«ãªã‚‹ã€‚ + +KeTCindy3Dã«ã¯ç›´ç·šã‚’æã関数ã¯ãªã„ãŒï¼Œç·šåˆ†ã®å¤–分点をé©å½“ã«ã¨ã£ã¦ç·šåˆ†ã¨ã—ã¦æã‘ã°ï¼Œã»ã¨ã‚“ã©ç›´ç·šã¨ã—ã¦æ‰±ã†ã“ã¨ãŒã§ãる。 +\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} + + + +\subsubsection{ç‚¹ç·šã‚„ç ´ç·šã‚’æã} + +\begin{tabbing} +12\=34567890123456789\=\kill\\ + +\>ã€Cinderella】 \>インスペクタã®ã€Œç‰¹åˆ¥ãªè¡¨ç¤ºæ–¹æ³•ã€ã§ç·šç¨®ã‚’変ãˆã‚‹ã€€\\ +\>ã€Cindyscript】 \>修飾å dashtype を使ã†ã€€\\ + \>ã€KeTCindy】  \>do ,da オプションをã¤ã‘ã‚‹\\ + \>ã€KeTCindy3D】 \>do ,da オプションをã¤ã‘ã‚‹\\ +\end{tabbing} + Cinderellaã®æ画ツールã§å¼•ã„ãŸç·šåˆ†ãƒ»ç›´ç·šã®ç·šç¨®ã¯ï¼Œãã®è¦ç´ ã‚’é¸ã‚“ã§ã€ŒCtrl+iã€(Mac㯠⌘+i) ã§è¡¨ç¤ºã•ã‚Œã‚‹ã‚¤ãƒ³ã‚¹ãƒšã‚¯ã‚¿ã‚’用ã„ã¦ï¼Œã€Œç‰¹åˆ¥ãªè¡¨ç¤ºæ–¹æ³•ã€ã§å¤‰ãˆã‚‹ã“ã¨ãŒã§ãã‚‹ã€‚ç‚¹ç·šï¼Œç ´ç·šã ã‘ã§ãªã,一点鎖線もã‚る。\\ + Cindyscriptã® draw() ã§å¼•ã„ãŸç·šåˆ†ãƒ»åŠç›´ç·šã¯ï¼Œä¿®é£¾åを用ã„ã¦ï¼Œ draw([A,B],dashtype-$>$2) ã®ã‚ˆã†ã«ã—ã¦æã。\\ + KeTCindyã§ã¯ï¼Œã‚ªãƒ—ションã«ï¼Œ["do"] (点線:dotline) ["da"]ï¼ˆç ´ç·šï¼šdashline)をã¤ã‘る。 +\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} + + + +\subsubsection{ç·šã®å¤ªã•ã‚’変ãˆã‚‹} +\begin{tabbing} +12\=34567890123456\=\kill\\ + +\>ã€Cinderella】 \>インスペクタã®ã€Œè¡¨ç¤ºæ–¹æ³•ã€ã‚’使ã†\\ +\>ã€Cindyscript】 \>size オプションをã¤ã‘ã‚‹\\ + \>ã€KeTCindy】  \>Setpen(n) \\ +\end{tabbing} + インスペクタ,Cindyscriptã«ã‚ˆã‚‹ç‚¹ã®å¤§ãã•ã®è¨å®šã¯ç”»é¢ä¸Šã«ã¯åæ˜ ã•ã‚Œã‚‹ãŒï¼ŒTeXã«ã¯æ›¸ã出ã•ã‚Œãªã„。逆ã«ï¼ŒKeTCindyã§è¨å®šã—ãŸç‚¹ã®å¤§ãã•ã¯ï¼ŒCinderellaã®ç”»é¢ä¸Šã«ã¯åæ˜ ã•ã‚Œãªã„。ãã®ã“ã¨ã‚’考慮ã®ä¸Šï¼Œé©å®œä½¿ã„分ã‘ã‚‹å¿…è¦ãŒã‚る。画é¢ä¸Šã®ç‚¹ã®å¤§ãã•ã¨ï¼ŒTeXã®å›³ã®ç‚¹ã®å¤§ãã•ã¯é€£å‹•ã—ãªã„ã®ã§æ³¨æ„ãŒå¿…è¦ã§ã‚る。\\ + KeTCindynã®æ画関数を使ã†ã¨ãã¯ï¼Œ"size=n" オプションをã¤ã‘ã¦å¤§ãã•ã‚’è¨å®šã§ãã‚‹ã‚‚ã®ã‚‚ã‚る。 +\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} + + +\subsubsection{垂線を引ã} + +\begin{tabbing} +12\=34567890123456789\=\kill\\ + +\>ã€Cinderella】 \>ã€Œåž‚ç·šã‚’åŠ ãˆã‚‹ã€ãƒ„ール \includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/multi-add-perp.png} を用ã„る \\ +\>ã€Cindyscript】 \>perpendicular(A,a)\\ + \>ã€KeTCindy】  \>作図後,Listplot()ã§ç·šåˆ†ã‚’引ã\\ + \>ã€KeTCindy3D】 \>Perppt()ã§åž‚ç·šã®è¶³ã‚’求ã‚ã¦ç·šåˆ†ã‚’引ã\\ + +\end{tabbing} + Cinderellaã®ã€Œåž‚ç·šã‚’æãã€ãƒ„ールを用ã„ã¦ä½œå›³ã™ã‚‹ã®ãŒç°¡ä¾¿ã ãŒï¼Œä½•ã‹æ¡ä»¶ã‚’与ãˆã¦åž‚線を引ãよã†ãªå ´åˆã¯Cindyscriptを使ã†ã“ã¨ã«ãªã‚‹ã€‚ãŸã ã—,点ã¨ç›´ç·šï¼ˆç·šåˆ†ï¼‰ãŒå¹¾ä½•è¦ç´ ã«ãªã£ã¦ã„ãªã„ã¨åž‚ç·šã¯å¼•ã‘ãªã„。perpendicular(A,a) ã§ï¼ŒAã¯ç‚¹ã®è˜åˆ¥å,aã¯ç›´ç·šï¼ˆç·šåˆ†ï¼‰ã®è˜åˆ¥å。TeXã«ã¯ï¼Œé©å½“ãªå›³ãŒæã‘ãŸã¨ã“ã‚ã§Lineplot()ã‚‚ã—ãã¯Listplot()ã§å‡ºåŠ›ã™ã‚Œã°ã‚ˆã„。 + +対象ãŒå¹¾ä½•è¦ç´ ã§ãªã„å ´åˆã¯ï¼ŒCindyscriptã§æ–¹ç¨‹å¼ã‚’求ã‚ã¦å¼•ãã“ã¨ã«ãªã‚‹ã€‚ + +KeTCindy3D ã® Perppt() 関数ã¯ï¼Œã‚る点ã‹ã‚‰å¹³é¢ã«ä¸‹ã—ãŸåž‚ç·šã®è¶³ã‚’求ã‚る。Perppt() ã®é …ã«ã‚る例をå‚ç…§ã®ã“ã¨ã€‚ +\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} + + +\subsubsection{平行線を引ã} + +\begin{tabbing} +12\=34567890123456\=\kill\\ + +\>ã€Cinderella】 \>ã€Œå¹³è¡Œç·šã‚’åŠ ãˆã‚‹ã€ãƒ„ール \includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/multi-add-parallel.png} を用ã„る \\ +\>ã€Cindyscript】 \>parallel(B,a)\\ + \>ã€KeTCindy】  \>作図後,Listplot()ã§ç·šåˆ†ã‚’引ã\\ +\end{tabbing} + Cinderellaã®ã€Œå¹³è¡Œç·šã‚’æãã€ãƒ„ールを用ã„ã¦ä½œå›³ã™ã‚‹ã®ãŒç°¡ä¾¿ã ãŒï¼Œãªã«ã‹æ¡ä»¶ã‚’与ãˆã¦å¹³è¡Œç·šã‚’引ãよã†ãªå ´åˆã¯Cindyscriptを使ã†ã“ã¨ã«ãªã‚‹ã€‚ãŸã ã—,点ã¨ç›´ç·šï¼ˆç·šåˆ†ï¼‰ãŒå¹¾ä½•è¦ç´ ã«ãªã£ã¦ã„ãªã„ã¨å¹³è¡Œç·šã¯å¼•ã‘ãªã„。parallel(B,a) ã§ï¼ŒBã¯ç‚¹ã®è˜åˆ¥å,aã¯ç›´ç·šï¼ˆç·šåˆ†ï¼‰ã®è˜åˆ¥å。 + +TeXã«ã¯ï¼Œé©å½“ãªå›³ãŒæã‘ãŸã¨ã“ã‚ã§Lineplot()ã‚‚ã—ãã¯Listplot() ã§å‡ºåŠ›ã™ã‚Œã°ã‚ˆã„。 + +対象ãŒå¹¾ä½•è¦ç´ ã§ãªã„å ´åˆã¯ï¼ŒCindyscriptã§æ–¹ç¨‹å¼ã‚’求ã‚ã¦å¼•ãã“ã¨ã«ãªã‚‹ã€‚ +\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} + +\subsection{多角形をæã} + +\subsubsection{é ‚ç‚¹ã‚’ä¸Žãˆã¦å¤šè§’形をæã} + +\begin{tabbing} +12\=34567890123456789\=\kill\\ + + \>ã€Cinderella】 \>多角形ツール \includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/polygon.png} を用ã„る \\ + \>ã€Cindyscript】 \>drawpoly(点リスト)\\ + \>ã€KeTCindy】  \>Listplot(点リスト)\\ + \>ã€KeTCindy3D】 \>Spaceline(点リスト)\\ +\end{tabbing} + + Cinderellaã®æ画ツールã®å¤šè§’形ツールã¯ï¼Œæ—¢å˜ã®ç‚¹ã‚’çµã‚“ã§å¤šè§’形を作り色塗りをã™ã‚‹ã‚‚ã®ã€‚色塗りをã—ãªã„ã®ã§ã‚ã‚Œã°ï¼Œå˜ã«ç·šåˆ†ã§ã¤ãªã„ã§ã„ã。 + + Cindyscriptã®drawpoly() ,ãŠã‚ˆã³KeTCindyã®Listplot(),Spaceline() ã§ã®ç‚¹ãƒªã‚¹ãƒˆã¯ï¼Œæ—¢å˜ã®å¹¾ä½•ç‚¹ã§ãªã座標ã§ã‚‚よã„。Listplot() ,Spaceline() ã®ç‚¹ãƒªã‚¹ãƒˆãŒå¿…ãšé–‰ã˜ãŸãƒªã‚¹ãƒˆï¼ˆ[A,B,C,D,A])ã§ãªã‘ã‚Œã°ãªã‚‰ãªã„ã®ã«å¯¾ã—,Cindyscriptã®drawplory()ã§ã¯é–‰ã˜ã¦ã„ã‚‹å¿…è¦ã¯ãªã„。drawpoly([A,B,C,D])ã§ã‚ˆã„。 +\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} + + +\subsubsection{1辺を与ãˆã¦æ£å¤šè§’形をæã} + \\ + 平é¢ä¸Šã§ï¼Œä¸Žãˆã‚‰ã‚ŒãŸç·šåˆ†ABを1辺ã¨ã™ã‚‹æ£å¤šè§’形をæã。 + +線分ABã¯ï¼ŒCinderellaã®ä½œå›³ãƒ„ールãªã©ã§æã‹ã‚Œã¦ã„ã‚‹ã‚‚ã®ã¨ã™ã‚‹ã€‚ãŸã ã—,線分ã§ãªã,両端ã®ç‚¹ãŒä¸Žãˆã‚‰ã‚Œã¦ã„ã‚‹ã ã‘ã§ã‚‚よã„。点A,BãŒè¤‡ç´ å¹³é¢ä¸Šã«ã‚ã‚‹ã‚‚ã®ã¨ã—ã¦ï¼Œå¤šè§’å½¢ã®é ‚点ã®ä½ç½®ã‚’計算ã™ã‚Œã°ã‚ˆã„。 + +Cindyscriptã®Drawスãƒãƒƒãƒˆã«ï¼Œæ¬¡ã®ã‚¹ã‚¯ãƒªãƒ—トを書ã。(n=5ã§æ£äº”角形をæã) +\begin{verbatim} + n=5; + pti=[complex(A),complex(B)]; + th=2*pi/n; + repeat(n-2,s, +  z1=pti_s; +  z2=pti_(s+1); +  z=z2+(z2-z1)*(cos(th)+i*sin(th)); +  pti=append(pti,z); + ); + pt=apply(pti,gauss(#)); + pt=append(pt,A.xy); + Listplot("1",pt); +\end{verbatim} +ptiã¯ï¼Œå„é ‚ç‚¹ã«å¯¾å¿œã™ã‚‹è¤‡ç´ æ•°ã®ãƒªã‚¹ãƒˆï¼ŒptãŒå„é ‚ç‚¹ã®åº§æ¨™ã®ãƒªã‚¹ãƒˆã§ã‚る。 +\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} + + +\subsubsection{接線を引ã} + \\ +曲線上ã®ç‚¹ã«ãŠã‘る接線を引ã +\begin{tabbing} +12\=34567890123456789\=\kill\\ + +\>ã€Cinderella】 \>幾何è¦ç´ ã®ï¼’次曲線ã®å ´åˆï¼Œã€Œç‚¹ã®æ¥µç·šã‚’åŠ ãˆã‚‹ã€ãƒ„ール \includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/polar-of-point.png}   を用ã„ã‚‹\\ +\>ã€Cindyscript】 \>微分ã—ã¦æŽ¥ç·šã®æ–¹ç¨‹å¼ã‚’求ã‚ã¦ç›´ç·šã‚’引ã\\ + \>ã€KeTCindy】  \>åŒä¸Šã€€\\ +\end{tabbing} + Cinderellaã®ä½œå›³ãƒ„ールã§æã„ãŸï¼’次曲線ã®å ´åˆã¯ï¼Œæ›²ç·šä¸Šã®ç‚¹ã«ãŠã„ã¦ã€Œç‚¹ã®æ¥µç·šã‚’åŠ ãˆã‚‹ã€ãƒ„ールã§æŽ¥ç·šãŒå¼•ã‘る。ã“ã®ãƒ„ールã¯ï¼ŒåˆæœŸçŠ¶æ…‹ã§ã¯ç”»é¢ã«å‡ºã¦ã„ãªã„ã®ã§ï¼Œãƒ¢ãƒ¼ãƒ‰ãƒ¡ãƒ‹ãƒ¥ãƒ¼ã®ã€Œç›´ç·šã€ã‹ã‚‰é¸ã¶ã€‚ã¾ãŸï¼Œã€Œè¨å®šã€ãƒ¡ãƒ‹ãƒ¥ãƒ¼ã®ã€Œä¸Šã®ãƒ„ールãƒãƒ¼ã‚’カスタマイズã™ã‚‹ã€ã§ï¼Œã™ã¹ã¦ã®ãƒ„ールを表示ã™ã‚Œã°ç”»é¢ä¸Šã«å‡ºã‚‹ã€‚ + + Cinderellaã®ä½œå›³ãƒ„ールã§æã‘ãªã„曲線ã®å ´åˆã¯æ–¹ç¨‹å¼ã‚’求ã‚ã¦ç›´ç·šã‚’引ãã“ã¨ã«ãªã‚‹ã€‚微分をã™ã‚‹é–¢æ•°ã¯ï¼ŒCindyscriptã§ã¯ d(関数,変数),KeTCindyã§ã¯Derivative(関数, 変数,値) を用ã„る。\\ + +例:3次関数 $f(x)=x^3-4x$ 上ã®ç‚¹$(1,-3)$ã«ãŠã‘る接線を引ãCindyscriptã¨KeTCindyã®çµ„ã¿åˆã‚ã›\\ +  f(x):=x\verb|^| 3-4*x;\\ +  g(x0,x):=d(f(\#),x0)*(x-x0)+f(x0);\\ +  p1=[1,-3];\\ +  p2=[2,g(1,2)];\\ +  plotdata("1","x\verb|^| 3-4*x","x");\\ +  Lineplot("1",[p1,p2]);\\ + \\ + ã“ã®ã‚¹ã‚¯ãƒªãƒ—トã§ã¯ï¼Œg(x0,x)を点$(x_0,f(x_0))$ã«ãŠã‘る接線ã®æ–¹ç¨‹å¼ã¨ã—ã¦ã„る。\\ + ã¾ãŸï¼ŒæŽ¥ç‚¹ã‚’インタラクティブã«æ±ºã‚ã‚‹ã«ã¯ï¼Œï¼’点A,Bを作図ã—ã¦ãŠã\\ + \\ +  Deffun("f(x)",["regional(y)","y=x\verb|^|3-4*x","y"]);\\ +  coef=Derivative("f(x)","x",A.x);\\ +  A.y=f(A.x);\\ +  B.y=coef*(B.x-A.x)+A.y;\\ +  Plotdata("1","f(x)","x");\\ +  Lineplot([A,B]);\\ + + ã¨ã—ã¦ï¼ŒæŽ¥ç‚¹Aをドラッグã—ã¦ä½ç½®æ±ºã‚ã‚’ã™ã‚‹ã“ã¨ãŒã§ãる。\\ + \\ + <注>\\ +    Deffun("f(x)",["regional(y)","y=x\verb|^|3-4*x","y"]);\\ +  ã¯\\ +    f(x):=x\verb|^| 3-4*x;\\ +  ã§ã‚‚よã„。\\ +\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} +\subsection{円ã®ä½œå›³} +\subsubsection{円をæã} + +\begin{tabbing} +12\=34567890123456789\=\kill\\ + +\>ã€Cinderella】 \>ã€Œå††ã‚’åŠ ãˆã‚‹ã€ãƒ„ール \includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/multi-add-circle.png} を用ã„ã‚‹\\ +\>ã€Cindyscript】 \>drawcircle([a,b],r)\\ + \>ã€KeTCindy】  \>Circledata([A,B]),Circledata(name,[[a,b],[c,d]])\\ +\end{tabbing} + Cinderellaã®å††ã‚’æãツールã¯ï¼“種類ã‚ã‚‹ãŒï¼Œã‚ã¨ã§TeXã«æ›¸ã出ã™ãªã‚‰ã°ã€Œå††ã‚’åŠ ãˆã‚‹ã€ãƒ„ールãŒã‚ˆã„。ä¸å¿ƒã‹ã‚‰ãƒ‰ãƒ©ãƒƒã‚°ã™ã‚‹ã¨å††å‘¨ä¸Šã«ç‚¹ãŒã§ãる。ã“ã®ï¼’点を使ã£ã¦Circledata([A,B]) ã§æ›¸ã出ã™ã“ã¨ãŒã§ãる。TeXã«æ›¸ã出ã™å¿…è¦ãŒãªã„補助円ãªã©ã§ã‚ã‚Œã°ï¼Œã€ŒåŠå¾„付ãå††ã‚’åŠ ãˆã‚‹ã€ \includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/circle-by-radius.png} ãŒç°¡ä¾¿ã€‚åŠå¾„を一定ã«ã™ã‚‹ï¼ˆå††å‘¨ãƒ‰ãƒ©ãƒƒã‚°ã§å¤§ãã•ãŒå¤‰ã‚らãªã„よã†ã«ã™ã‚‹ï¼‰ã®ã§ã‚ã‚Œã°ï¼Œã€Œå›ºå®šã—ãŸåŠå¾„ã®å††ã‚’æãã€ãƒ„ールを用ã„る。Cinderellaã®å††ã‚’æãツールã§æã„ãŸå††ã¯ï¼Œã‚¤ãƒ³ã‚¹ãƒšã‚¯ã‚¿ã®ã€Œç‰¹åˆ¥ãªè¡¨ç¤ºæ–¹æ³•ã€ã§ç·šç¨®ã‚’è¨å®šã§ãる。 + +Cindyscript ã§ã¯ï¼Œä¸å¿ƒã¨åŠå¾„を指定ã—ã¦å††ã‚’æã。drawcircle([a,b],r) 㯠[a,b] ãŒä¸å¿ƒã®åº§æ¨™ï¼Œr ãŒåŠå¾„(実数)。ä¸å¿ƒã¯ï¼ŒCinderellaã®ä½œå›³ãƒ„ールã§ã¨ã£ãŸç‚¹Aã‚’ä¸å¿ƒã¨ã™ã‚‹å ´åˆã¯ï¼Œdrawcircle(A,r)。 + +KeTCindyã®Circledata([A,B])ã¯ï¼Œä¸å¿ƒAã§ç‚¹Bを通る円をæã。A,Bを座標ã«ã™ã‚‹å ´åˆã¯ï¼ŒnameãŒå¿…è¦ã€‚ä¸å¿ƒAã§åŠå¾„rã®å††ã‚’æãã®ã§ã‚ã‚Œã°ï¼Œåº§æ¨™æŒ‡å®šã«ãªã‚‹ã®ã§ï¼ŒCircledata("1",[A,A+[3,0]]) ã¾ãŸã¯ Circledata("1",[A.xy,A.xy+[3,0]]) ã¨ã™ã‚‹ã€‚ +\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} + +\subsection{é ˜åŸŸã‚’å¡—ã‚‹} +\subsubsection{円ã®å†…部を塗る} +\begin{tabbing} +12\=34567890123456789\=\kill\\ + +\>ã€Cinderella】 \>ã€Œå††ã‚’åŠ ãˆã‚‹ã€ãƒ„ールを用ã„ãŸã®ã¡ï¼Œã‚¤ãƒ³ã‚¹ãƒšã‚¯ã‚¿ã§è¨å®š\\ +\>ã€Cindyscript】 \>fillcircle(A,r) \\ + \>ã€KeTCindy】  \>Shade(PD)\\ +\end{tabbing} + 画é¢ä¸Šã§è‰²ã‚’å¡—ã‚‹ã ã‘ãªã‚‰ã‚¤ãƒ³ã‚¹ãƒšã‚¯ã‚¿ã®ã€Œè¡¨ç¤ºæ–¹æ³•ã€ã§è‰²å¡—ã‚Šã‚’ã™ã‚‹ã®ãŒç°¡ä¾¿ã€‚é€æ˜Žåº¦ã‚‚è¨å®šã§ãる。TeXã®å›³ç‰ˆã§ã‚‚é ˜åŸŸã‚’å¡—ã‚‹ã®ã§ã‚ã‚Œã°ï¼ŒCircledata()ã§å††ã‚’æã„ãŸï¼ˆãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã‚’作æˆï¼‰ã®ã¡ï¼ŒShade()ã§è‰²ã‚’塗る。ã“ã“ã§è‰²æŒ‡å®šã‚’ã™ã‚Œã°ç”»é¢ã«ã‚‚åæ˜ ã•ã‚Œã‚‹ã€‚\\ +\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} + + +\subsubsection{多角形ã®å†…部を塗る} + +\begin{tabbing} +12\=34567890123456789\=\kill\\ + +\>ã€Cinderella】 \>ã€Œå¤šè§’å½¢ã‚’åŠ ãˆã‚‹ã€ãƒ„ール \includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/polygon.png} を用ã„る \\ +\>ã€Cindyscript】 \>fillpoly(点リスト)\\ + \>ã€KeTCindy】  \>Shade(PD)\\ +\end{tabbing} + Cinderellaã®æ画ツールã®å¤šè§’形ツールã¯ï¼Œæ—¢å˜ã®ç‚¹ã‚’çµã‚“ã§å¤šè§’形を作り色塗りをã™ã‚‹ã€‚ + +Cindyscriptã§ã®ç‚¹ãƒªã‚¹ãƒˆã¯ï¼Œæ—¢å˜ã®å¹¾ä½•ç‚¹ã§ãªã座標ã§ã‚‚よã„。点リストã¯ï¼Œå§‹ç‚¹ã¨çµ‚点をçµã¶ã®ã§é–‰ã˜ã¦ã„ã‚‹å¿…è¦ã¯ãªã„。([A,B,C,D]) + + TeXã«æ›¸ã出ã™ã®ã§ã‚れ㰠Shade()を用ã„る。\\ +\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} + + +\subsubsection{曲線ã§å›²ã¾ã‚ŒãŸé ˜åŸŸã‚’å¡—ã‚‹} +\begin{tabbing} +12\=34567890123456789\=\kill\\ + + \>ã€KeTCindy】  \>Shade(PD)\\ +\end{tabbing} +  Shade()を用ã„ã¦é ˜åŸŸã‚’塗る。Cinderellaã®ç”»é¢ã«ã‚‚åæ˜ ã•ã‚Œã‚‹ã€‚\\ +\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} + + +\subsubsection{é ˜åŸŸã‚’æ–œç·šã§ç¤ºã™} + +\begin{tabbing} +12\=34567890123456\=\kill\\ + \>ã€KeTCindy】  \>Hatchdata(name,æ–¹å‘,PD)\\ +\end{tabbing} +  é ˜åŸŸã‚’æ–œç·šã§å¡—る。Cinderellaã®ç”»é¢ã«ã‚‚åæ˜ ã•ã‚Œã‚‹ã€‚Scilabã¨ãƒ‡ãƒ¼ã‚¿ã‚’ã‚„ã‚Šå–ã‚Šã—ã¦ãƒãƒƒãƒãƒ‡ãƒ¼ã‚¿ã‚’作るã®ã§ï¼Œãƒãƒƒãƒãƒ•ã‚¡ã‚¤ãƒ«ï¼ˆã‚·ã‚§ãƒ«ãƒ•ã‚¡ã‚¤ãƒ«ï¼‰ãŒè£ã§å®Ÿè¡Œã•ã‚Œã‚‹ã€‚\\\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} + + +\subsubsection{é ˜åŸŸã‚’ç´°ã‹ã„点ã§åŸ‹ã‚ã‚‹} + +\begin{tabbing} +12\=34567890123456\=\kill\\ + + \>ã€KeTCindy】  \>Dotfilldata(name,æ–¹å‘,PD)\\ +\end{tabbing} + 曲線ã§å›²ã¾ã‚ŒãŸé ˜åŸŸã‚’斜線ã§å¡—ã‚‹ã‹ã‚ã‚Šã«ç´°ã‹ã„点ã§åŸ‹ã‚る。 使ã„æ–¹ã¯Hatchdata() ã¨åŒæ§˜ã€‚\\ +\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} + + +\subsection{関数ã®ã‚°ãƒ©ãƒ•ãƒ»æ›²ç·š} + +\subsubsection{関数ã®ã‚°ãƒ©ãƒ•ã‚’æã} +\begin{tabbing} +12\=34567890123456789\=\kill\\ + +\>ã€Cindyscript】 \>関数を定義ã—ã¦ï¼Œplot()ã§è¡¨ç¤ºã™ã‚‹ã€€\\ + \>ã€KeTCindy】  \>(関数を定義ã—ã¦ï¼‰Plotdata()ã§è¡¨ç¤ºã™ã‚‹ã€€\\ +\end{tabbing} + + Cindyscriptã§ã¯ï¼Œf(x):=å¼ ã®æ›¸å¼ã§é–¢æ•°ã‚’定義ã—,plot(fx)) ã§ã‚°ãƒ©ãƒ•ã‚’æãã“ã¨ãŒã§ãる。関数ã¯ï¼Œif関数ã«ã‚ˆã‚‹å ´åˆåˆ†ã‘ã‚‚å¯èƒ½ã€‚ã¾ãŸï¼Œã“ã®é–¢æ•°æ¦‚念ã¯æ•°å¦é–¢æ•°ã§ã¯ãªã, プãƒã‚°ãƒ©ãƒŸãƒ³ã‚°ã«ãŠã‘る関数ãªã®ã§ï¼Œä¸€é€£ã®æ“作を関数ã¨ã—ã¦å®šç¾©ã—ã¦å®Ÿè¡Œã™ã‚‹ã“ã¨ã‚‚ã§ãる。\\ + KeTCindyã§ã¯ï¼ŒDeffun() ã§é–¢æ•°ã‚’定義ã—ã¦ï¼ŒPlotdata()ã§ã‚°ãƒ©ãƒ•ã‚’æã。Deffunã§ã¯ï¼Œifæ–‡ã«ã‚ˆã‚‹æ¡ä»¶åˆ†å²ã‚‚å¯èƒ½ã ãŒï¼Œifã®ãƒã‚¹ãƒˆã¯ã§ããªã„。\\ + 三角関数ãªã©ã®çµ„ã¿è¾¼ã¿é–¢æ•°ã«ã¤ã„ã¦ã¯ï¼Œå®šç¾©ã¯ä¸è¦ã§ï¼Œãã®ã¾ã¾ plot() ã‚‚ã—ã㯠Plotdata()ã§ã‚°ãƒ©ãƒ•ã‚’æãã“ã¨ãŒã§ãる。ãŸã ã—,Cindyscriptã«ã‚ã£ã¦ã‚‚KeTCindyã«ã¯ãªã„逆三角関数(arctanãªã©)ã¯Cindyscriptã§ç”»é¢ã«ã¯è¡¨ç¤ºã§ãã‚‹ãŒTeXã«ã¯ã§ããªã„。\\ + +\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} + +\subsubsection{媒介変数表示ã®æ›²ç·šã‚’æã} + +\begin{tabbing} +12\=34567890123456789\=\kill\\ + +\>ã€Cindyscript】 \>plot([f(t),g(t)])\\ + \>ã€KeTCindy】  \>Paramplot(name,å¼,定義域) \\ + \>ã€KeTCindy3D】 \>Spacecurve(name,å¼,定義域) \\ +\end{tabbing} + ã„ãšã‚Œã‚‚optionã§ç·šç¨®ãªã©ã®æŒ‡å®šãŒã§ãる。\\ + 平é¢ã«ãŠã‘る曲線ã§ï¼ŒTimer Tickスãƒãƒƒãƒˆã«æ›¸ã„ã¦ã‚¢ãƒ‹ãƒ¡ãƒ¼ã‚·ãƒ§ãƒ³ã‚’è¡Œã†å ´åˆã¯ï¼ŒCindyscriptã® plot()ã®æ–¹ã‚’勧ã‚る。シンプルãªåˆ†ï¼Œå®Ÿè¡Œé€Ÿåº¦ã«ãŠã„ã¦æœ‰åˆ©ã§ã‚る。\\ +\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} + + +\subsubsection{2次曲線をæã} + 放物線,楕円,åŒæ›²ç·šã‚’æã。 +\begin{tabbing} +12\=34567890123456789\=\kill\\ + +\>ã€Cinderella】 \>焦点ãªã©ã‚’作図ã—ã¦ãã‚Œãžã‚Œã®ä½œå›³ãƒ„ールを用ã„ã‚‹\\ +\>ã€Cindyscript】 \>関数もã—ãã¯åª’介変数ã§è¡¨ã—ã¦plot()ã§æã\\ + \>ã€KeTCindy】  \>Plotdata() ã‚‚ã—ã㯠Paramplot() ,Parabolaplot() ãªã©ã§æã\\ +\end{tabbing} + ã“れらã®æ›²ç·šã‚’æã方法ã¯ä½•é€šã‚Šã‹ã‚る。全体ã§ã¯ãªã一部分をæãå ´åˆã¯Cinderellaã®ä½œå›³ãƒ„ールã§ã¯ã§ããªã„ã®ã§plot()ã¾ãŸã¯ Paramplot()ã§æã。 + + ã“れらã®æ›²ç·šä¸Šã«ç‚¹ã‚’ã¨ã‚Šï¼ŒæŽ¥ç·šã‚’引ã„ã¦ã‚¤ãƒ³ã‚¿ãƒ©ã‚¯ãƒ†ã‚£ãƒ–ã«å‹•ã‹ã™ã‚ˆã†ãªå ´åˆã¯ï¼ŒCinderellaã®ä½œå›³ãƒ„ールã§æãã¨ã‚ˆã„。点をインシデントã«ã™ã‚‹ã®ãŒå®¹æ˜“ã§ã‚り,接線も簡å˜ã«å¼•ã‘,ã•ã‚‰ã«ãã®æŽ¥ç·šã‚‚幾何è¦ç´ ã¨ãªã‚‹ã®ã§éƒ½åˆãŒã‚ˆã„。 + +KeTCindyã§ã¯ï¼ŒPlotdata() ã§åª’介変数表示ã®å¼ã‚’与ãˆã‚‹ã‹ï¼ŒParabolaplot(),Ellipsplot(),Hyperbolaplot() ã§ç„¦ç‚¹ãªã©ã‚’与ãˆã¦æã。 + +\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} + + +\subsubsection{陰関数ã®ã‚°ãƒ©ãƒ•ã‚’æã} + +\begin{tabbing} +12\=34567890123456\=\kill\\ + + \>ã€KeTCindy】  \>Implicitplot()\\ +\end{tabbing} + 陰関数ã§ä¸Žãˆã‚‰ã‚ŒãŸæ›²ç·šã‚’æã方法ã¯Cinderella,Cindyscriptã«ã¯ãªã„。 +\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} + + +\subsubsection{プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã‚’自作ã—ã¦è¡¨ç¤ºã™ã‚‹} + \\ + 組ã¿è¾¼ã¿é–¢æ•°ã«ãªã„関数ãªã©ã‚’使ã£ã¦ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã‚’自作ã—ã¦è¡¨ç¤ºã™ã‚‹ã«ã¯ï¼ŒCindyscriptã§ä½œæˆã—ãŸãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã‚’Listplot() ã¾ãŸã¯ AddGraph()ã«æ¸¡ã—ã¦æç”»ã™ã‚‹ã€‚ãã‚Œãžã‚Œã®é …ã®ä¾‹ã‚’å‚ç…§ã®ã“ã¨ã€‚ + +\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} + +\subsection{ãã®ä»–} + +\subsubsection{幾何è¦ç´ ã‚’éžè¡¨ç¤ºã«ã™ã‚‹} +æã„ãŸç‚¹ã‚„ç·šã‚’éžè¡¨ç¤ºã«ã™ã‚‹ã€‚ +\begin{tabbing} +12\=34567890123456\=\kill\\ + +\>ã€Cinderella】 \>インスペクタã®ã€Œè¡¨ç¤ºæ–¹æ³•ã€ã§ã€Œè¡¨ç¤ºã™ã‚‹ã€ã®ãƒã‚§ãƒƒã‚¯ã‚’切る \\ +\>ã€Cindyscript】 \>幾何è¦ç´ ã®visibleプãƒãƒ‘ティをfalseã«ã™ã‚‹ã€€\\ + \>ã€KeTCindy】  \>"notex" ã¾ãŸã¯ "nodisp" オプションをã¤ã‘ã‚‹  \\ +\end{tabbing} + インスペクタã®è¡¨ç¤ºæ–¹æ³•ã€ã§ã€Œè¡¨ç¤ºã™ã‚‹ã€ã®ãƒã‚§ãƒƒã‚¯ã‚’切ã£ãŸå ´åˆï¼Œã€Œè¡¨ç¤ºã€ã«æˆ»ã™ã«ã¯ï¼Œã€Œè¡¨ç¤ºã€ãƒ¡ãƒ‹ãƒ¥ãƒ¼ã®ã€Œå¼ã«ã‚ˆã‚‹è¡¨ç¤ºã€ã‚’é–‹ã„ã¦ï¼Œè©²å½“ã®å¹¾ä½•è¦ç´ ã‚’é¸æŠžã—,インスペクタã§ã€Œè¡¨ç¤ºã™ã‚‹ã€ã®ãƒã‚§ãƒƒã‚¯ã‚’ã¤ã‘る。\\ + 幾何è¦ç´ ã‚’Cindyscriptã§éžè¡¨ç¤º/表示ã«ã™ã‚‹ã«ã¯ï¼ŒA.visible=false / true ã¨ã™ã‚‹ã€‚幾何è¦ç´ ã§ã¯ãªã„関数ã®ã‚°ãƒ©ãƒ•ãªã©ã¯ã‚¤ãƒ³ã‚¹ãƒšã‚¯ã‚¿ã§ã¯éžè¡¨ç¤ºã«ã§ããªã„。\\ + KeTCindy ã® "notex" オプションã¯TeXã«å‡ºåŠ›ã—ãªã„。"nodisp"オプションã§ã¯ï¼Œç”»é¢ã«ã‚‚表示ã•ã‚Œãªã„。プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã‚’作æˆã™ã‚‹ãŸã‚ã«ä½¿ã†ã€‚\\ +\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} + + +\subsubsection{角ã«å°ã‚’ã¤ã‘ã‚‹} +角ã«å¼§ã¾ãŸã¯å¹³è¡Œå››è¾ºå½¢ã®è§’ã®å°ã‚’ã¤ã‘る。 +\begin{tabbing} +12\=34567890123456\=\kill\\ + +\>ã€Cinderella】 \>「角ã«å°ã‚’ã¤ã‘ã‚‹ã€ãƒ„ール \includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/angle-mark.png} を用ã„る(弧ã®å½¢çŠ¶ã®ã¿ï¼‰\\ +\>ã€Cindyscript】 \>ãªã—\\ + \>ã€KeTCindy】  \>Anglemark() , Paramark() を用ã„る \\ +\end{tabbing} + TeXã«å‡ºåŠ›ã—ãªã„ã®ã§ã‚ã‚Œã°ï¼Œã€Œè§’ã«å°ã‚’ã¤ã‘ã‚‹ã€ãƒ„ールを用ã„ã‚‹ã®ãŒç°¡ä¾¿ã€‚ãŸã ã—,平行四辺形ã®å°ã¯ã¤ã‘られãªã„。\\ + 角ã«å‘ãを示ã™çŸ¢å°ã‚’ä»˜åŠ ã™ã‚‹å ´åˆã¯ï¼ŒAnglemark()ã§æã„ã¦ãŠã,Arrowhead()ã§çŸ¢ã˜ã‚Šã‚’ã¤ã‘る。\\ +\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} + + +\subsection{値ã®å–得・変æ›} +\subsubsection{角度を測る} + +\begin{tabbing} +12\=34567890123456789\=\kill\\ + +\>ã€Cinderella】 \>「角度を測るã€ãƒ„ール \includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/angle.png}を用ã„る。\\ +\>ã€Cindyscript】 \>arctan2(ベクトル)を用ã„ã‚‹\\ +\end{tabbing} + Cinderellaã®ã€Œè§’度を測るã€ãƒ„ールã§ã¯ï¼Œç”»é¢ä¸Šã«è§’度ãŒè¡¨ç¤ºã•ã‚Œã‚‹ã€‚ã“ã®å€¤ã‚’スクリプトã§åˆ©ç”¨ã™ã‚‹ãŸã‚ã«ã¯ï¼Œãã®è˜åˆ¥åを用ã„る。è˜åˆ¥åã¯ï¼Œè¡¨ç¤ºãƒ¡ãƒ‹ãƒ¥ãƒ¼ã‹ã‚‰ã€Œå¼ã«ã‚ˆã‚‹è¡¨ç¤ºã€ã§å‡ºã‚‹å¹¾ä½•è¦ç´ ã®ä¸€è¦§è¡¨ã§åˆ¤æ–ã™ã‚‹ã€‚è˜åˆ¥åãŒÎ±0ã§ã‚ã‚Œã°ï¼Œå¤‰æ•°Î±0ã«è§’ã®å€¤ãŒå…¥ã£ã¦ã„ã‚‹ã¨è€ƒãˆã¦ã‚ˆã„。αã¯æ—¥æœ¬èªžå…¥åŠ›ãƒ¢ãƒ¼ãƒ‰ã§ã€Œã‚ã‚‹ãµãã€ã§å…¥åŠ›ã™ã‚‹ã€‚ãŸã¨ãˆã°ï¼Œdrawtext([1,1],α0) ã¨ã™ã‚Œã°ï¼Œ(1,1) ã®ä½ç½®ã«è§’度ãŒè¡¨ç¤ºã•ã‚Œã‚‹ã€‚ã“ã®ã¨ãã®è§’ã¯ä¸€èˆ¬è§’ã§ã‚り,点をドラッグã™ã‚‹ã¨360°以上ã®è§’ã‚„è² ã®è§’ã§è¡¨ç¤ºã•ã‚Œã‚‹ã€‚ã¾ãŸï¼Œè¡¨ç¤ºã¯åº¦æ•°æ³•ã§è¡Œã‚れるãŒï¼Œå‡¦ç†ã«ã‚ˆã£ã¦ã¯å¼§åº¦æ³•ã§ã®è¡¨ç¤ºã¨ãªã‚‹ã€‚\\ + Cindyscriptã§è§’度をå–å¾—ã™ã‚‹ã«ã¯ï¼Œarctan2()を用ã„ã‚‹ã®ãŒã‚ˆã„。引数ã¯ãƒ™ã‚¯ãƒˆãƒ«ã§ï¼Œx軸ã®æ£ã®æ–¹å‘ã¨ã®ãªã™è§’ã‚’ −π 〜 Ï€ ã®ç¯„囲ã§å¼§åº¦æ³•ã§è¿”ã™ã€‚角ABCã®å ´åˆï¼Œth=arctan2(C.xy-B.xy)-arctan2(A.xy-B.xy) ã§å–å¾—ã§ãる。\\ +\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} + +\subsubsection{2点間ã®è·é›¢ã‚’測る} + +\begin{tabbing} +12\=34567890123456\=\kill\\ + +\>ã€Cindyscript】 \>dist(A,B) ã¾ãŸã¯ $|$A,B$|$ \\ + \>ã€KeTCindy3D】 \>dist3d(点,点)\\ +\end{tabbing} +\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} + +\subsubsection{数値を文å—ã«å¤‰æ›ã™ã‚‹} +関数ã®å¼•æ•°ã«æ–‡å—列ã¨ã—ã¦ä¸Žãˆã‚‹ãŸã‚ã«æ•°å€¤ã‚’æ–‡å—列ã«å¤‰æ›ã—ãŸã„å ´åˆãŒã‚る。ã“ã®ã‚ˆã†ãªå ´åˆã¯ï¼Œtext() 関数を用ã„る。引数ã¯å®Ÿæ•°ãƒ»è¤‡ç´ æ•°ã„ãšã‚Œã§ã‚‚å¯ã€‚\\ + +subsubsection{å°æ•°ç‚¹ã®æ¡æ•°ã‚’指定ã—ã¦è¡¨ç¤º} +\begin{tabbing} +12\=34567890123456\=\kill\\ + +\>ã€Cinderella】 \>ãªã— \\ +\>ã€Cindyscript】 \>format()関数を用ã„る \\ + \>ã€KeTCindy】  \>Textformat() 関数を用ã„ã‚‹\\ +\end{tabbing} + Cinderellaã§ã¯ï¼Œå°æ•°ç‚¹ä»¥ä¸‹ã®æ¡æ•°ã¯ç¬¬ï¼•ä½ã‚’å››æ¨äº”å…¥ã—ã¦è¡¨ç¤ºã™ã‚‹ã®ãŒãƒ‡ãƒ•ã‚©ãƒ«ãƒˆã§ã‚る。å°æ•°ç‚¹ä»¥ä¸‹ã®æ¡æ•°ã‚’指定ã™ã‚‹ã«ã¯ï¼ŒCindyscriptã§ã¯ format()関数,KeTCindydã§ã¯ Textformat()関数を用ã„る。Textformat()関数ã¯ï¼Œãƒªã‚¹ãƒˆã§ä¸ŽãˆãŸæ•°ã§ã‚‚処ç†ã§ãる。\\ +\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} + +\subsection{スライダを作る} +\subsubsection{線分スライダを作る} +変数ã®å€¤ã‚’インタラクティブã«æ±ºã‚るスライダを作る。 + +ã¾ãšï¼ŒCinderellaã®ä½œå›³ãƒ„ールã§ï¼Œé©å½“ãªç·šåˆ†ï¼ˆã¾ãŸã¯ç›´ç·šï¼‰ã¨ï¼Œãã®ä¸Šã®ç‚¹ã‚’ã¨ã‚‹ã€‚ã“ã®ã¨ã,点ãŒç·šåˆ†ä¸Šã«ã‚¤ãƒ³ã‚·ãƒ‡ãƒ³ãƒˆã«ãªã‚‹ã‚ˆã†ã«ï¼Œç‚¹ã‚’線分上ã«ãƒ‰ãƒ©ãƒƒã‚°ã—ã¦ç·šåˆ†ãŒãƒã‚¤ãƒ©ã‚¤ãƒˆã—ãŸã¨ãã«ãƒžã‚¦ã‚¹ãƒœã‚¿ãƒ³ã‚’離ã™ã€‚ + +線分をAB,AB上ã®ç‚¹ã‚’Cã¨ã—ã¦ï¼ŒAã¨Cã®è·é›¢ $|$A,C$|$ を用ã„ã¦å¤‰æ•°ã®å€¤ã‚’決ã‚ã‚Œã°ã‚ˆã„。 + +  例:x=$|$A,C$|$-5; + +æ•´æ•°ã‚’å–å¾—ã—ãŸã„å ´åˆã¯ï¼Œå¤©äº•é–¢æ•°ceil()ã¾ãŸã¯ï¼ŒåºŠé–¢æ•° floor()を用ã„ã¦æ•´æ•°åŒ–ã™ã‚‹ã€‚ + +  例:n=ceil($|$A,C$|$) + +点Cを端点ã¾ã§ãƒ‰ãƒ©ãƒƒã‚°ã—ãŸå¾Œï¼Œã•ã‚‰ã«ç‚¹Cをドラッグã—よã†ã¨ã™ã‚‹ã¨ç«¯ç‚¹ã‚‚åŒæ™‚ã«å‹•ã„ã¦ã—ã¾ã†ã“ã¨ãŒã‚る。ãã“ã§ï¼Œç«¯ç‚¹ã‚’é¸æŠžã—ã¦ã‚¤ãƒ³ã‚¹ãƒšã‚¯ã‚¿ã§ã€Œãƒ”ンã§ç•™ã‚ã‚‹ã€ã«ãƒã‚§ãƒƒã‚¯ã‚’入れã¦ãŠãã¨ã‚ˆã„。 +\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} + +\subsubsection{円形スライダを作る} +角ã®å€¤ã‚’インタラクティブã«æ±ºã‚るスライダを作る。 + +ã¾ãšï¼ŒCinderellaã®ä½œå›³ãƒ„ールã§ï¼Œé©å½“ãªå††ã‚’æã,ãã®ä¸Šã«ç‚¹ã‚’ã¨ã‚‹ã€‚ã“ã®ã¨ã,点ãŒå††å‘¨ä¸Šã«ã‚¤ãƒ³ã‚·ãƒ‡ãƒ³ãƒˆã«ãªã‚‹ã‚ˆã†ã«ï¼Œç‚¹ã‚’円周上ã«ãƒ‰ãƒ©ãƒƒã‚°ã—ã¦å††å‘¨ãŒãƒã‚¤ãƒ©ã‚¤ãƒˆã—ãŸã¨ãã«ãƒžã‚¦ã‚¹ãƒœã‚¿ãƒ³ã‚’離ã™ã€‚ + +円ã®ä¸å¿ƒã‚’A,円周上ã®ç‚¹ã‚’Bã¨ã—ãŸã¨ã,B.angleã§è§’度をå–å¾—ã§ãる。ãŸã ã—,戻り値ã¯$0^\circ 〜 360^\circ$ + +arctan2(B.xy-A.xy) ã§è§’ã‚’å–å¾—ã™ã‚‹ã“ã¨ã‚‚ã§ãる。ã“ã®å ´åˆã®æˆ»ã‚Šå€¤ã¯ï¼Œ$-180^\circ 〜 180^\circ$\\ +\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} + + + +% 関数一覧 ================================== +\hypertarget{functionlist}{} +\section{関数一覧} +\begin{tabbing} +12345678901234567890123456789012345678\=\kill +ã€è¨å®šãƒ»å®šç¾©ã€‘\\ +\hyperlink{addax}{Addax(0/1)} \>座標軸をæãã‹ã©ã†ã‹ã‚’定ã‚ã‚‹\\ +\hyperlink{addcolor}{Addcolor(com,color)} \>æ画色をè¨å®šã™ã‚‹\\ +\hyperlink{colorcode}{Colorcode(æ–‡å—1,文å—2,color)} \>カラーコードã®å¤‰æ›\\ +\hyperlink{deffun}{Deffun(関数å , 定義リスト )} \>関数を定義ã™ã‚‹\\ +\hyperlink{definecolor}{Definecolor(色å , 定義リスト )} \>ユーザー定義色ã®è¨å®š\\ +\hyperlink{defvar}{Defvar(æ–‡å—列)}  \>変数を定義ã™ã‚‹\\ +\hyperlink{drwxy}{Drwxy()}   \>座標軸を先ã«æã\\ +\hyperlink{fontsize}{Fontsize(記å·)}   \>フォントサイズをè¨å®šã™ã‚‹\\ +\hyperlink{ketint}{Ketinit(options)}   \>\ketcindy ã‚’åˆæœŸåŒ–ã™ã‚‹\\ +\hyperlink{ptsie}{Ptsize(æ•°)}   \>表示ã™ã‚‹ç‚¹ã®å¤§ãã•ã‚’è¨å®šã™ã‚‹\\ +\hyperlink{setax}{Setax(リスト)}  \>座標軸ã®æ›¸å¼ã‚’è¨å®šã™ã‚‹\\ +\hyperlink{setcolor}{Setcolor(color,options)}  \>Windispgã§ã®æ画色をè¨å®šã™ã‚‹\\ +\hyperlink{setmarklen}{Setmarklen(æ•°)} \>軸ã®ç›®ç››ã®é•·ã•ã‚’è¨å®šã™ã‚‹\\ +\hyperlink{setorigin}{Setorigin(座標)} \>表示ã™ã‚‹åº§æ¨™è»¸ã®åŽŸç‚¹ã®ä½ç½®ã‚’è¨å®šã™ã‚‹\\ +\hyperlink{setpen}{Setpen(æ•°)}   \>ç·šã®å¤ªã•ã‚’è¨å®šã™ã‚‹\\ +\hyperlink{setpt}{Setpt(æ•°)}    \>表示ã™ã‚‹ç‚¹ã®å¤§ãã•ã‚’è¨å®šã™ã‚‹\\ +\hyperlink{setscaling}{Setscaling(æ•°)}  \>縦方å‘ã®å€çŽ‡ã‚’è¨å®šã™ã‚‹\\ +\hyperlink{setunitlen}{Setunitlen(æ•°)}  \>å˜ä½é•·ã‚’è¨å®šã™ã‚‹\\ +\hyperlink{setwindow}{Setwindow()} \>æç”»é ˜åŸŸã‚’è¨å®šã™ã‚‹\\ +\\ +ã€æ画】\\ +\hyperlink{anglemark}{Anglemark(点リスト, options)} \>角ã®å°ã‚’入れる\\ +\hyperlink{addgraph}{AddGraph(name ,プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿)} \>ユーザー定義ã®ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã‚’æç”»ã™ã‚‹\\ +\hyperlink{arrowdata}{Arrowdata(始点,終点,options)} \>2点間をçµã¶çŸ¢ç·šã‚’æã\\ +\hyperlink{arrowhead}{Arrowhead(点,æ–¹å‘,options)} \>点ã«çŸ¢ã˜ã‚Šã ã‘ã‚’æã\\ +\hyperlink{bezier}{Bezier(name, リスト,リスト,options )} \>å˜ç‹¬ã®ãƒ™ã‚¸ã‚§æ›²ç·šã‚’æã\\ +\hyperlink{beziersmooth}{Beziersmooth(name , リスト,options )} \>ãªã‚らã‹ãªãƒ™ã‚¸ã‚§æ›²ç·šã‚’æã。ãã®ï¼‘\\ +\hyperlink{beziersym}{Beziersym(name , リスト,options )} \>ãªã‚らã‹ãªãƒ™ã‚¸ã‚§æ›²ç·šã‚’æã。ãã®ï¼’\\ +\hyperlink{bowdata}{Bowdata(点リスト,options)} \>弓形をæã\\ +\hyperlink{bspline}{Bspline(name,リスト,options )} \>2次 Bスプライン曲線をæã\\ +\hyperlink{changestyle}{Changestyle(PD リスト, options)} \>æ画オプションを変更ã™ã‚‹\\ +\hyperlink{circledata}{Circledata(name,点リスト,options)} \>円ã¾ãŸã¯å¤šè§’形をæã\\ +\hyperlink{crosspoint}{Crosspoint(name,PD,PD,範囲リスト)} \>2曲線ã®äº¤ç‚¹ã‚’作る\\ +\hyperlink{cspline}{CRspline(name,リスト,options )} \>å˜ç‹¬ã®Catmull-Rom スプライン曲線をæã\\ +\hyperlink{deqplot}{Deqplot(name,å¼,変数å,åˆæœŸå€¤,options])} \>微分方程å¼ã®è§£æ›²ç·šã‚’æã\\ +\hyperlink{dotfilldata}{Dotfilldata(name , æ–¹å‘, PD , optionss)}  \>é ˜åŸŸã«ç‚¹ã‚’æ•·ãè©°ã‚ã‚‹\\ +\hyperlink{drawsegmark}{Drawsegmark(name,リスト,options)} \>線分ã«å°ã‚’ã¤ã‘ã‚‹\\ +\hyperlink{drawsegmark}{Segmark(name,リスト,options)} \>線分ã«å°ã‚’ã¤ã‘ã‚‹\\ +\hyperlink{drwpt}{Drawpoint([点,options])} \>点を表示ã™ã‚‹\\ +\hyperlink{drwpt}{Drwpt([点,options])}   \>点を表示ã™ã‚‹\\ +\hyperlink{ellipseplot}{Ellipseplot(name,list,str,options)} \>楕円をæã\\ +\hyperlink{enclosing}{Enclosing(name , [ä½ç½®ï¼Œæ–¹å‘,数å¼])} \>複数ã®æ›²ç·šã‹ã‚‰é–‰æ›²ç·šã‚’æã\\ +\hyperlink{expr}{Expr(æ–‡å—列)}    \>\TeX æ•°å¼ã‚’書ã\\ +\hyperlink{exprrot}{Exprrot(ä½ç½®ï¼Œå‘ã,文å—列)}    \>傾ã„ãŸ\TeX æ•°å¼ã‚’書ã\\ +\hyperlink{framedata}{Framedata(name , リスト)} \>矩形をæã\\ +\hyperlink{framedata}{Framedata2(name , リスト)} \>矩形をæã\\ +\hyperlink{hatchdata}{Hatchdata(name , æ–¹å‘, PD , optionss)}  \>é ˜åŸŸã«æ–œç·šã‚’引ã\\ +\hyperlink{htickmark}{Htickmark([横座標 , æ–¹å‘ , æ–‡å—])}  \>横軸ã«ç›®ç››ã‚Šã‚’æã\\ +\hyperlink{hyperbolaplot}{Hyperbolaplot(name,list,str,options)} \>åŒæ›²ç·šã‚’æã\\ +\hyperlink{implicitplot}{Implicitplot(name,str,,str,str,options)} \>陰関数ã®ã‚°ãƒ©ãƒ•ã‚’æã\\ +\hyperlink{joincrvs}{Joincrvs(name, PDリスト, options)} \>2ã¤ã®ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã‚’ã¤ãªã’ãŸãƒ‡ãƒ¼ã‚¿ã‚’作る\\ +\hyperlink{letter}{Letter(「座標,ä½ç½®,æ–‡å—列]ã®ãƒªã‚¹ãƒˆã€)}   \>æ–‡å—列を表示ã™ã‚‹\\ +\hyperlink{letterrot}{Letterrot(「座標,æ–¹å‘,移動é‡,æ–‡å—列])}   \>æ–‡å—列を回転ã—ã¦è¡¨ç¤ºã™ã‚‹\\ +\hyperlink{lineplot}{Lineplot(name,2点ã®ãƒªã‚¹ãƒˆ,options)}  \>2点をçµã¶ç›´ç·šã‚’æã\\ +\hyperlink{listplot}{Listplot(name,点ã®ãƒªã‚¹ãƒˆ,options)}  \>点を線分ã§çµã¶\\ +\hyperlink{mkbeziercrv}{Mkbeziercrv(name,リスト,options)} \>作図ã—ãŸç‚¹ã‚’使ã£ã¦ãƒ™ã‚¸ã‚¨æ›²ç·šã‚’æã\\ +\hyperlink{mkbezierptcrv}{Mkbezierptcrv(リスト,options ) } \>制御点を自動é…ç½®ã—ã¦ãƒ™ã‚¸ã‚¨æ›²ç·šã‚’æã\\ 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\>曲線PDã®éƒ¨åˆ†æ›²ç·šã‚’作る\\ +\hyperlink{perpplane}{Perpplane(点å, 点, ベクトル,option)} \>点を通り垂直ãªå¹³é¢ä¸Šã®åŸºæº–点\\ +\hyperlink{perppt}{Perppt(点å,点,点リスト,option)} \>å¹³é¢ã«ä¸‹ã‚ã—ãŸåž‚ç·šã®è¶³\\ +\hyperlink{phparadata}{Phparadata(name,name2,options)} \>多é¢ä½“を陰線処ç†ã—ã¦æã\\ +\hyperlink{projcoordpara}{Projcoordpara()} \>投影座標を求ã‚ã‚‹\\ +\hyperlink{putaxes3d}{Putaxes3d([x,y,z])} \>軸上ã«å¹¾ä½•ç‚¹ã‚’ã¨ã‚‹\\ +\hyperlink{putonCurve3d}{PutonCurve3d(点å,PD)} \>空間曲線上ã«ç‚¹ã‚’ã¨ã‚‹\\ +\hyperlink{putonseg3d}{Putonseg3d(点å,点1,点2)} \>線分上ã«ç‚¹ã‚’ã¨ã‚‹\\ +\hyperlink{putpoint3d}{Putpoint3d(リスト,option)} \>空間点をã¨ã‚‹\\ +\hyperlink{readobj}{Readobj(ファイルå)} \>objファイルをèªã¿è¾¼ã‚€\\ +\hyperlink{reflectpoint3d}{Reflectpoint3d(点,リスト)} \>点をé¡æ˜ \\ +\hyperlink{rotate3pt}{Rotate3pt( 点,vec,角度,点)} \>空間点を回転\\ +\hyperlink{rotatedata3d}{Rotatedatat3d(name,PD,vec,角度,点)} \>プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã‚’回転\\ +\hyperlink{sf3data}{Sf3data(name, リスト,options)} \>陰線処ç†ãªã—ã®ç©ºé–“曲é¢ã‚’æã\\ +\hyperlink{sfbdparadata}{Sfbdparadata(name, å¼,options)} \>曲é¢ã‚’陰線処ç†ã—ã¦æã\\ +\hyperlink{skeletonparadata}{Skeletonparadata(name,options)} \>スケルトン処ç†ã®ãƒ‡ãƒ¼ã‚¿ä½œæˆ\\ +\hyperlink{spacecurve}{Spacecurve(name, å¼, 定義域,options)} \>空間曲線ã®ãƒ‡ãƒ¼ã‚¿ä½œæˆ\\ +\hyperlink{spaceline}{Spaceline(リスト)} \>空間ã®æŠ˜ç·šãƒ‡ãƒ¼ã‚¿ä½œæˆ\\ +\hyperlink{translatedata3d}{Translatedata3d(name,PD, 平行移動é‡)} \>空間プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã‚’平行移動\\ +\hyperlink{translatept3d}{Translatept3d(座標,平行移動é‡)} \>空間点を平行移動\\ +\hyperlink{vertexedgeface}{VertexEdgeFace(é¢ãƒ‡ãƒ¼ã‚¿,option)} \>é ‚ç‚¹ã¨é¢ã‹ã‚‰è¾ºã‚’求ã‚,辺をæã\\ +\hyperlink{wireparadata}{Wireparadata(name,PD,å¼,int,int,opt,opt)} \>曲é¢ã®ãƒ¯ã‚¤ãƒ¤ãƒ•ãƒ¬ãƒ¼ãƒ を陰線処ç†\\ +\hyperlink{xyzax3data}{Xyzax3data(name,æ–‡å—,æ–‡å—,æ–‡å—,options)} \>座標軸ã®è¡¨ç¤º\\ +\hyperlink{xyzcoord}{Xyzcoord(P.x,P.y,Pz.y)} \>主副画é¢ã§æ±ºã¾ã‚‹ç‚¹ã®åº§æ¨™\\ + \\ +ã€KeTCindymv】\\ +\hyperlink{moviedata}{Moviedata(str1,str2,options)} \>動画データã®ä½œæˆ\\ +\end{tabbing} + + +%3D第3節 +\end{document}
\ No newline at end of file diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/referenceR4_2_2_ltd.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/referenceR4_2_2_ltd.tex new file mode 100644 index 00000000000..f77574b88f4 --- /dev/null +++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/referenceR4_2_2_ltd.tex @@ -0,0 +1,1422 @@ +\documentclass[a4j]{jarticle} + +\usepackage{ketpic,ketlayer} +\usepackage{amsmath,amssymb} +\usepackage{enumerate} +%\usepackage{emathE} + +\newcommand{\tab}[2][12zw]{% +\noindent +\hspace*{2zw}\Ltab{#1 }{#2}% +} + +\newcommand{\chuu}[1][15zw]{% +\Ltab{#1}{}※ % +} + +\newcommand{\rei}[1][18zw]{% +\Rtab{#1}{例)\ }}% + +\newcommand{\reicr}[1][18zw]{% +\Rtab{#1}{  }}% + +\newcommand{\prompt}[1][+]{% +$>$ \verb#1} + +\newcommand{\dq}[1]{ +{\unitlength$<$- 0.0012in% +\begin{picture}% +(26.30,94.50)(2.40,0.00)% +\special{pn 8}% +\special{pa 3 -113}\special{pa 6 -78}\special{pa 12 -78}\special{pa 15 -113}\special{pa 3 -113}% +\special{sh 1}\special{ip}% +\special{pa 22 -113}\special{pa 25 -78}\special{pa 31 -78}\special{pa 34 -113}\special{pa 22 -113}% +\special{sh 1}\special{ip}% +\end{picture}}% +\,#1\,% +{\unitlength$<$- 0.0012in% +\begin{picture}% +(26.30,94.50)(2.40,0.00)% +\special{pn 8}% +\special{pa 3 -113}\special{pa 6 -78}\special{pa 12 -78}\special{pa 15 -113}\special{pa 3 -113}% +\special{sh 1}\special{ip}% +\special{pa 22 -113}\special{pa 25 -78}\special{pa 31 -78}\special{pa 34 -113}\special{pa 22 -113}% +\special{sh 1}\special{ip}% +\end{picture}}% +} + +\newcommand{\bq}{ +\hspace*{-2pt}% +{\unitlength=1pt% +\begin{picture}% +(1.80,7.00)(-0.90,0.00)% +\special{pn 8}% +% +\special{pn 12}% +\special{pa -11 -94}\special{pa 11 -72}% +\special{fp}% +\special{pn 8}% +\end{picture}}% +} + +\newenvironment{mini}[1]% +{\begin{minipage}[t]{#1}}% +{\end{minipage}% +} + + +%\enumSep{\narrowenumsep} + +\setmargin{15}{15}{15}{20} + +\begin{document} + +\begin{flushright} +2013å¹´10月6æ—¥ +\end{flushright} + +\begin{center} +{\bf \huge \ketpic\ v4.2.2 ltd コマンド一覧}\vspace{3mm}\\ +{\bf \huge for R} +\end{center} + +\hfill +\begin{minipage}{4cm} +\Ltab{1.5cm}{PD}プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿\\ +\end{minipage} + +%\vspace*{-2zw} + +\section{R ã«ã¤ã„ã¦ã®æ³¨æ„} + +\begin{enumerate}[1.] + +\item KETpicã®èªè¾¼ã¿ã«ã¯æ¬¡ã‚’実行ã™ã‚‹ï¼Ž\\ +\hspace*{2zw}load("C:/work/ketpic.Rdata") (C:/work/ã¯ä½œæ¥ãƒ•ã‚©ãƒ«ãƒ€å)\\\hspace*{-12zw}\chuu ディレクトリã®å¤‰æ›´ã¯ setwd("c:/work") + +\item æ–‡å—列ã¯ã€€ "(ダブル)ã§å›²ã‚€\\ +\chuu æ–‡å—列ã®ä¸ã«æ–‡å—列を入れるã¨ã㯠' 㨠" を入れåã«ä½¿ã†ï¼Ž + +\item 関数ãªã©ã‚’引数ã¨ã™ã‚‹ã¨ãã¯ï¼Œæ–‡å—列ã¨ã™ã‚‹ï¼Ž\\ +\hspace*{2zw}例)G$<$- Plotdata( "x\verb|^|2", "x=c(0,1)") +%\hspace*{2zw}注)プãƒã‚°ãƒ©ãƒŸãƒ³ã‚°ã§ã¯æ–‡å—列を実行ã™ã‚‹ã‚³ãƒžãƒ³ãƒ‰ evstr, execstr ãŒé‡è¦ã§ã‚る. +%\item +%数リスト,文å—列,行列ãŒæ··ã–ã£ãŸãƒ‡ãƒ¼ã‚¿ï¼ˆåŸºæœ¬ãƒ‡ãƒ¼ã‚¿ï¼‰ã®ãƒªã‚¹ãƒˆã¯ã§ããªã„. +%Mixã¯æ··åˆãƒªã‚¹ãƒˆã‚’扱ã†ï¼Ž +%\hspace*{3zw}基本データ$\longrightarrow$æ··åˆåˆ—$\longrightarrow$æ··åˆãƒªã‚¹ãƒˆ% +%$\longrightarrow$æ··åˆãƒªã‚¹ãƒˆ$\longrightarrow\cdots$ + +\item \verb|\|(ãƒãƒƒã‚¯ã‚¹ãƒ©ãƒƒã‚·ãƒ¥ï¼‰ã‚’出力ã™ã‚‹ã«ã¯ï¼’ã¤ä¸¦ã¹ã¦ã‹ã. + + +\item 注釈㯠\verb|#| + +%\item 実行ã®ä¸æ–ã¯ã€€abort + + +%\item 数値微分㯠derivative, 数値ç©åˆ†ã¯ integrate(ã¾ãŸã¯intg) + +%\chuu Derivative, Integrate å‚ç…§ + +\item æ•°ã¨æ–‡å—列ã®å¤‰æ›\\ +\hspace*{2zw}as.character(æ•°)\\ +\hspace*{2zw}as.numeric(æ–‡å—列)\\ +\hspace*{2zw}eval(parse(text=æ–‡å—列)))\\ +\hspace*{2zw}sprintf(書å¼,\ æ•°) 書å¼ä»˜ãæ–‡å—列 + +\item ç•°ãªã‚‹åž‹ã®ãƒ‡ãƒ¼ã‚¿ã‹ã‚‰ãƒªã‚¹ãƒˆã‚’作るã«ã¯listを用ã„る.\\ +\hspace*{2zw}作æˆã€€ã€€ã€€L\verb|<-| list(... , ... );\\ +\hspace*{2zw}å–り出ã— A\verb|<-| L[[i]]\\ +\hspace*{2zw}部分リスト L[V]\ (V ã¯ãƒ™ã‚¯ãƒˆãƒ«)\\ +\hspace*{2zw}ç½®ãæ›ãˆã€€L[[i]]\verb|<-| ...\\ +%\hspace*{2zw}消去   L[[i]]<- NULL\\ +\hspace*{2zw}é•·ã•ã€€ã€€ã€€length(L)\\ +\hspace*{2zw}è¿½åŠ ã€€ã€€ã€€L\verb|<-| c(L1, L2)\\ +\hspace*{2zw}çµåˆã€€ã€€ã€€c(L1,L2,...)\\ +\hspace*{2zw}空リスト list()\\ +\hspace*{2zw}タイプを見る is.list(L)(論ç†å€¤ï¼‰ã¾ãŸã¯ mode(L) + +\end{enumerate} + +\section{Rã®ãŸã‚ã®è¿½åŠ コマンド} + +\tab{Member(D, L)}DãŒLã®è¦ç´ ã§ã‚ã‚Œã°true,ãã†ã§ãªã‘ã‚Œã°falseã‚’è¿”ã™ï¼Ž\\ +\chuu Lã¯ãƒ™ã‚¯ãƒˆãƒ«ã¾ãŸã¯ list + +\tab{Flattenlist(L)}Lを平準化ã—ã¦å˜å±¤ã®ãƒªã‚¹ãƒˆã‚’作る + +%\tab{Mix(D1, D2, $\cdots$)}FD列,MS,MLã‹ã‚‰ï¼ˆï¼‘段上ã®ï¼‰MSã¾ãŸã¯MLã‚’ä½œæˆ + +%\tab{Mixadd(L, D)}L(MSã¾ãŸã¯ML)ã«Dã‚’è¦ç´ ã¨ã—ã¦åŠ ãˆã‚‹ + +\tab{Mixdisp({\it list})}listã®è¦ç´ ã‚’ç”»é¢ã«ç°¡æ˜“表示 + +%\tab{Mixjoin(L1, L2, ...)}è¦ç´ ã‚’åˆä½µã—ãŸlistを作る\\ +%\rei L1$<$- list(G1,G2,3); L2$<$- list(G3, "a")\\ +%\reicr L$<$- Mixjoin(L1,L2, c(3,6))\\ +%\reicr \hspace{2cm}Lã¯G1, G2, 3, G3, "a", c(3, 6)ã®list\\ +%\chuu \verb|c() , list()| ã¯ç„¡è¦–ã•ã‚Œã‚‹ + +%\tab{MixL(D1,D2, $\cdots$)}MS, MLã‹ã‚‰ï¼ˆï¼‘段上ã®ï¼‰MLã‚’ä½œæˆ + +%\tab{Mixlength(L)}L(MSã¾ãŸã¯ML)ã®è¦ç´ ã®å€‹æ•° + +%\tab{Mixop(N, Data)}Dataã®N番目ã®è¦ç´ (Dataã¯MS, ML) + +%\tab{MixS(D1,D2, $\cdots$)}基本データ列ã‹ã‚‰MSã‚’ä½œæˆ + +%\tab{Mixsub(範囲,L)}Lã®ç¯„囲(リスト)ã®è¦ç´ ã‹ã‚‰ãªã‚‹éƒ¨åˆ†MSã¾ãŸã¯ML\\ +%\rei S$<$- Mixsub( 2; 5, L); + +%\tab{Mixtype(Data)}DataãŒåŸºæœ¬ãƒ‡ãƒ¼ã‚¿ãªã‚‰ï¼‘,MSãªã‚‰ï¼’,MLãªã‚‰ï¼“を返㙠+ +\tab{Op(N,\ Data)}Dataã®N番目ã®è¦ç´ (Dataã¯æ–‡å—列,ベクトル,list) + +\tab{Assign(å¼, 変数å, 値, ・・・)}\\ +\tab{}変数å(文å—列)ã«å€¤ã‚’割り当ã¦ãŸæ–‡å—列を返ã™\\ +\chuu 値ã¯ï¼Œæ•°ï¼Œæ–‡å—列,数行列,Scilablist\\ +\rei A$<$- 0.4; B$<$- c(2,1)\\ +\reicr Fn$<$- Assign("A*x\^{}2+B(1)*y\^{}2","A", A, "B", B) + +\tab{Assignset(変数å, 値, ・・・)}% +割り当ã¦å¤‰æ•°ãƒ†ãƒ¼ãƒ–ルをセットã™ã‚‹\\ +\rei Assignset("A", 0.4, "B", c(2,1), "C", list(...), "D", "string") + +%\tab{Assign(å¼)}å¼æ–‡å—列ã®å¤‰æ•°ã«å‰²ã‚Šå½“ã¦å¤‰æ•°ãƒªã‚¹ãƒˆã‚’割り当ã¦ãŸæ–‡å—列を返ã™\\ +%\rei Assign("A", 0.4, "B", c(2,1))\\ +%\reicr Fn$<$- Assign("A*x\^{}2+B(1)*y\^{}2") + +\tab{Assignset("?"+変数å)}変数åã®å€¤ã‚’è¿”ã™\\ +\rei Assignset("?A") + +\tab{Assignset()}割り当ã¦å¤‰æ•°ãƒ†ãƒ¼ãƒ–ルをåˆæœŸåŒ–\\ +%\rei Assign("A", 0.4, "B", c(2,1))\\ +%\reicr Assign() + +\tab{Assignadd(変数å, 値, ・・・)}\\ +\tab{}割り当ã¦å¤‰æ•°ãƒ†ãƒ¼ãƒ–ルã«è¿½åŠ ã™ã‚‹\\ +\rei Assignadd("C", 0.4, "D", c(2,1)) + +\tab{Assignrep(変数å, 値, ・・・)}\\ +\tab{}割り当ã¦å¤‰æ•°ãƒ†ãƒ¼ãƒ–ルを置ãæ›ãˆã‚‹\\ +\rei Assignrep("C", 0.8) + +\tab{Prime(æ–‡å—列)}æ–‡å—列ã®æœ€å¾Œã« " ã‚’ã¤ã‘ã‚‹\\ +\rei Prime("A")\\ +\rei Prime() (" ã ã‘を出力)\\ +\chuu Assign("A\bq ") ã¨ã—ã¦ã‚‚よã„. + + +%\tab{Strop(N,\ æ–‡å—列)}æ–‡å—列ã®N番目ã®æ–‡å— + +%\tab{Subs(代入å¼,\ 有ç†å¼)}有ç†å¼ã«ä»£å…¥å¼ã§ä¸Žãˆã‚‰ã‚Œã‚‹æ•°å€¤ã‚’代入ã—ãŸå€¤ã‚’è¿”ã™\\ +%\rei X$<$- poly(0,"X")\\ +%\reicr F$<$- X\verb|^|2+3\verb|*|X+3\\ +%\reicr V$<$- Subs("X$<$- 5",\ F) + +\tab{XMIN, XMAX, YMIN, YMAX}\\ +\tab{}ウィンドウ範囲 +(デフォルト$-5\leqq x\leqq 5,\ -5\leqq y\leqq 5$) + +\tab{Ptne(),Ptnw(),Ptsw(),Ptse()}\\ +\tab{}ãƒ•ãƒ¬ãƒ¼ãƒ æž ã®å„点 + +\tab{ThisVersion}Ketpicã®ãƒãƒ¼ã‚¸ãƒ§ãƒ³ + +\tab{Fracform(x\{, 分æ¯ã®æœ€å¤§å€¤\})}\\ +\tab{}xã«è¿‘ã„分数(文å—列)を返ã™\\ +\chuu 分æ¯ã®æœ€å¤§å€¤ã®ãƒ‡ãƒ•ã‚©ãƒ«ãƒˆã¯100000\\\ +\rei Fracform(c(2.36)) + +\tab{Dotprod(v1,v2)}å†…ç© + +\tab{Crossprod(v1,v2)}å¤–ç© + +\tab{Derivative(関数文å—列,変数å,\{値ベクトル\}}\\ +\tab{}関数ã®å¾®åˆ†ä¿‚数を求ã‚る.\\ +\rei Derivative("x\verb|^|2+y", c("x","y"),c(2, 3))\\ +%\rei Assign("A", 3)\\ +%\reicr Derivative(Assign("x\verb|^|2+A*y"), "c(x,y)", c(2, 3), 2)\\ +%\chuu 変数ã®ç•ªå·ã‚’指定ã—ãªã„ã¨ãã¯ï¼Œåˆ—ベクトルã§è¿”ã™ï¼Ž + +\tab{Integrate(関数文å—列,変数文å—列,ç©åˆ†åŒºé–“(数リスト))}\\ +\tab{}関数ã®å®šç©åˆ†ã‚’求ã‚る.\\ +\rei Integrate("sin(x)","x",c(0,pi))\\ +\chuu 区間(リスト)ã¯ç©åˆ†ã‚’分ã‘ã¦è¨ˆç®—ã™ã‚‹ã¨ãã«æŒ‡å®š\\ +%\reicr Fn(x)","if x>0,Y$<$- 1,else,Y$<$- -1,end")|\\ +\reicr \verb|Integrate("Fn(x)","x",c(-2,0,3))|\\ + +%\tab{Thetadegree()}平行投影ã§$\theta$(度) + +%\tab{Phidegree()}平行投影ã§$\varphi$(度) + +%\vspace{-2zw} + +\section{è¨å®šã‚³ãƒžãƒ³ãƒ‰} + +\subsection{基本} + +\tab{Setwindow(c(xmin, xmax), c(ymin, ymax))}\\ +\tab{}ウィンドウ範囲をè¨å®š\\ +\rei Setwindow(c(-pi, pi),\ $c(-1.5,1.5)$\,)\\ +\chuu XMIN , XMAX , YMIN , YMAX ã§å€¤ã‚’得られる. + +\tab{Setscaling({\it ratio})}\\ +\tab{}縦ã®æ¨ªã«å¯¾ã™ã‚‹æ¯”ã‚’{\it ratio}ã«è¨å®šï¼ˆãƒ‡ãƒ•ã‚©ãƒ«ãƒˆã¯ 1)\\ +\rei Setscaling(2)\\ +\chuu ウィンドウも連動 + +\tab{Setax(線種, 横軸å, ä½ç½®, 縦軸å, ä½ç½®, 原点å, ä½ç½®)}\\ +\tab{}座標軸をè¨å®šï¼ˆå¼•æ•° 7 個)\\ +\rei Setax("a", "t", "s", "u", "w", "O", "nw")\\ +\chuu 線種ã¯ã€€d : line , a : arrow\\ +\chuu arrowã®ã¨ã "a0.5" ã®ã‚ˆã†ã«ï¼ŒçŸ¢å°ã®å¤§ãã•ã‚’指定ã§ãる.\\ +\chuu ""ã¨ã™ã‚‹ã¨ï¼Œç¾åœ¨ã®è¨å®šã‚’変更ã—ãªã„.\\ +\chuu 以é™ãŒ "" ã®ã¨ãçœç•¥ã§ãる.ã¾ãŸé€”ä¸ã‹ã‚‰ã‚‚指定ã§ãã‚‹\\ +\rei Setax("a"\,)\\ +\rei Setax(6, "O", "se"\,) (6番目ã‹ã‚‰æŒ‡å®šï¼‰\\ +\chuu ä½ç½®ã¯"n", "s", "e", "w", "ne", "nw", "se", "sw"\\ +\chuu "s2w3"ã®ã‚ˆã†ã«å¾®å°ç§»å‹•é‡ã‚’ä»˜åŠ ã—ã¦ã‚ˆã„.\\ +\chuu 空引数ã®ã¨ã,ç¾åœ¨ã®è¨å®šå€¤ã‚’表示 + +\tab{Setorigin(\,点\,)}座標軸ã®åŽŸç‚¹ã‚’指定(デフォルトã¯$(0,\ 0)$)\\ +\chuu 空引数ã®ã¨ã,ç¾åœ¨ã®è¨å®šå€¤ã‚’表示 + +\tab{Setpen( å€çŽ‡ )}ç·šã®å¤ªã•ã‚’指定(標準ã‹ã‚‰ã®å€çŽ‡ã§ï¼‰\\ +\rei Setpen(1.5)\\ +\chuu 空引数ã®ã¨ã,ç¾åœ¨ã®è¨å®šå€¤ã‚’表示 + +\tab{Setpt( å€çŽ‡ )}Drwptã®ç‚¹ã®å¤§ãã•ã‚’指定(標準ã‹ã‚‰ã®å€çŽ‡ã§ï¼‰\\ +\chuu 空引数ã®ã¨ã,ç¾åœ¨ã®è¨å®šå€¤ã‚’表示 + +\tab{Setmarklen( å€çŽ‡ )}目盛りã®å¤§ãã•ã‚’指定(標準ã‹ã‚‰ã®å€çŽ‡ã§ï¼‰\\ +\chuu 目盛りã®å¤§ãã•ã¯å¾®å°ç§»å‹•é‡ã®å˜ä½ã¨ã—ã¦ã‚‚用ã„られる.\\ +\chuu 空引数ã®ã¨ã,ç¾åœ¨ã®è¨å®šå€¤ã‚’表示 + +\tab{Setunitlen("å˜ä½é•·")}å˜ä½é•·ã‚’指定ã™ã‚‹\\ +\chuu Beginpicture("")ã¨ã™ã‚‹ã¨æŒ‡å®šã•ã‚ŒãŸå˜ä½é•·ãŒä½¿ã‚れる.\\ +\chuu 空引数ã®ã¨ã,ç¾åœ¨ã®è¨å®šå€¤ã‚’表示 +%\tab(13zw){resetunitlen()}コード書ã出ã—を終ãˆã‚‹ + +\tab{Setarrow(éƒã®å¤§ãã• \{, é–‹ã角 \{, éƒä½ç½® \{, 太ã•\}\}\} \{, å½¢ã¨ä½ç½®\})}\\ +\tab{}矢å°ã®å½¢çŠ¶ã‚’指定ã™ã‚‹\\ +\rei Setarrow(0.5, 1, 1, 0.7, "tf"\,)\\ +\chuu デフォルト 大ãã•ï¼‘ ,角度 18°,ä½ç½®ã¯çµ‚点\\ +\chuu 5以下ã®é–‹ã角を指定ã—ãŸã¨ãã¯ï¼Œ18°ã‹ã‚‰ã®å€çŽ‡ã¨ã™ã‚‹\\ +\chuu 形状\ "l" :ライン "f" :塗り(デフォルト)\\ +\chuu ä½ç½®å¾®èª¿æ•´\ "c":ä¸å¤®ã€€"b":下 "t":トップ(〃)\\ +\chuu 空引数ã®ã¨ã,ç¾åœ¨ã®è¨å®šå€¤ã‚’表示 + +\tab{Ketinit(\,)}定数をデフォルトã«åˆæœŸåŒ– + +\subsection{空間(平行投影)} + +\tab{Setangle(\,$\theta, \varphi$\,)}角度(°)を指定\\ +\chuu デフォルト値㯠$\theta$<$- 60,\ \varphi$<$- 30$\\ +\chuu 空引数ã®ã¨ã,ç¾åœ¨ã®è¨å®šå€¤ã‚’表示 + +\tab{Initangle(\,)}デフォルト値ã«æˆ»ã™ + +\subsection{空間(一点投影)} + +\tab{Setpers(\,注視点,視点\,)}一点投影ã®FocusPoint,\ EyePoint を指定\\ +\chuu デフォルト値㯠FocusPoint$<$- c(0,0,0),\ EyePoint$<$- c(5,5,5) + +\tab{Setpers()}ç¾åœ¨ã®FocusPoint,\ EyePoint を表示\\ +\chuu 空引数ã®ã¨ã,ç¾åœ¨ã®è¨å®šå€¤ã‚’表示 + +\tab{SetstereoL(\,$R,\ \theta,\ \varphi,\ \varDelta$\,)}% +原点を注視点ã¨ã—ã¦ï¼Œç©ºé–“極座標ã«ã‚ˆã‚Šå®šã¾ã‚‹å·¦ç›®ã®ä½ç½®ã‚’\\ +\tab{}視点ã«ã‚»ãƒƒãƒˆï¼ˆ$\varDelta$ã¯ç›®ã®é–“隔) + +\tab{SetstereoR(\,$R,\ \theta,\ \varphi,\ \varDelta$\,)}% +原点を注視点ã¨ã—ã¦ï¼Œç©ºé–“極座標ã«ã‚ˆã‚Šå®šã¾ã‚‹å³ç›®ã®ä½ç½®ã‚’\\ +\tab{}視点ã«ã‚»ãƒƒãƒˆï¼ˆ$\varDelta$ã¯ç›®ã®é–“隔) + +\section{プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã®ä½œæˆ} + +\subsection{å¹³é¢å›³å½¢} + +\tab{Plotdata(関数,範囲,オプション)}\\ +\tab{}関数ã®ã‚°ãƒ©ãƒ•ã®PDを作æˆ\\ +\rei G1$<$- Plotdata(\,"sin(x)",\ "x= c($-2$*pi,\ 2*pi)")\\ +\chuu 範囲を "x" ã¨ã™ã‚‹ã¨ï¼ŒXMINã‹ã‚‰XMAXã«ã¨ã‚‹ï¼Ž\\ +\chuu x 以外ã®å¤‰æ•°ã‚’使ã†ã¨ãã¯é–¢æ•°ã«ä½¿ã‚ã‚Œã¦ã„ãªã„ã‹ã‚’注æ„.\\ +\chuu オプション\\ +\hspace*{16zw}\tab[6zw]{"N=$\cdots$"}点ã®å€‹æ•°\\ +\hspace*{16zw}\tab[6zw]{"E=c($\cdots$)"}除外点ã®ãƒªã‚¹ãƒˆ\\ +\hspace*{16zw}\tab[6zw]{"E=関数"}関数ã®ï¼ç‚¹ã¯é™¤å¤–\\ +\hspace*{16zw}\tab[6zw]{"D=$\cdots$"}連続é™ç•Œå€¤ï¼ˆã“れ以上離れãŸã‚‰çµã°ãªã„)\\ +\chuu デフォルトã¯N=50, D=Inf \\ +%\chuu 関数㯠function ã§ä¸Žãˆã¦ã‚‚よã„.\\ +\rei G1$<$- Plotdata("1/x", "x","N=200", "E=c(0)", "D=1")\\ +\rei G2$<$- Plotdata("1/((x-1)*(x+2))", "x", "E=(x-1)*(x+2)")\\ + +\tab{Listplot(点ã®ãƒ™ã‚¯ãƒˆãƒ«ã¾ãŸã¯åˆ—ã¾ãŸã¯list)}\\ +\tab{}折れ線ã®PDを作æˆ. ãŸã ã—ã€ç‚¹ã¯ç·šåˆ†ã§çµã¶. \\ +\rei G2$<$- Listplot(c(c(3,2),c(5,4)))\\ +\rei G2$<$- Listplot(c(3,2),c(5,4)) + +\tab{Lineplot(点A, 点B\{ , é•·ã•ï¼ŒåŠç›´ç·š\})}\\ +\tab{}線分ABを延長ã—ãŸç·šåˆ†ã®PDã‚’ä½œæˆ \\ +\rei G3$<$- Lineplot(c(3,2),c(5,4))\\ +\rei G4$<$- Lineplot(A, B, "+")\\ +\reicr åŠç›´ç·šAB(Bå´ã«å»¶é•·ï¼‰\\ +\chuu é•·ã•ã®ãƒ‡ãƒ•ã‚©ãƒ«ãƒˆã¯ç‰‡å´100 + +\tab{Paramplot(パラメトリック関数,範囲,オプション)}\\ +\tab{}パラメトリック関数ã®ã‚°ãƒ©ãƒ•ã®PDを作æˆ\\ +\chuu t 以外ã®å¤‰æ•°ã‚’使ã†ã¨ãã¯é–¢æ•°ã«ä½¿ã‚ã‚Œã¦ã„ãªã„ã‹ã‚’注æ„\\ +%\chuu 関数㯠function ã§ä¸Žãˆã¦ã‚‚よã„.\\ +\rei G3$<$- Paramplot(\,"c(cos(t),\ sin(t))",\ "t=c(0, 2*\%pi)")\\ +%\rei G4$<$- Paramplot(Fnx, Fny, "t=c(0, 1)") + +\tab{Rotatedata(PDã¾ãŸã¯ç‚¹,角度\{,ä¸å¿ƒ\})}\\ +\tab{}å¹³é¢ã®PDを回転ã—ãŸPDã‚’ä½œæˆ \\ +\rei G4$<$- Rotatedata(G1,pi/4) + +\tab{Translatedata(PD,\ xæ–¹å‘ yæ–¹å‘)}\\ +\tab{}PDを平行移動ã—ãŸPDã‚’ä½œæˆ \\ +\rei G5$<$- Translatedata(\,G1,\ 3,\ $-1$\,) + +\tab{Scaledata(PD, xæ–¹å‘, yæ–¹å‘\{,ä¸å¿ƒ\})}\\ +\tab{}PDを拡大(縮å°)ã—ãŸPDã‚’ä½œæˆ \\ +\rei G6$<$- Scaledata(\,G1,\ 2,\ 1/3\,) + +\tab{Reflectdata(PD,点)}点対称移動ã—ãŸPDを作æˆ\\ +\tab{Reflectdata(PD, c(\,点1,点2\,))}\\ +\tab{}線対称移動ã—ãŸPDを作æˆ\\ +\rei G7$<$- Reflectdata(\,G1,\ c(0,0)\,)\\ +\rei G8$<$- Reflectdata(\,G1,\ c(\,c(0,0),\ c(0,1)\,)\,) + +\tab{Pointdata(PD,\ $\cdots$)}PDã®ç¯€ç‚¹ã®listを作æˆ\\ +\rei G9=Pointdata(G1)\\ +\chuu Drwpt(G9)ãªã©ã§ï¼Œç‚¹ã®ãƒ—ãƒãƒƒãƒˆãŒã§ãる. + +\tab[21zw]{Circledata(ä¸å¿ƒ,\ åŠå¾„\ \{,\ オプション\}\})}円ã®PDを作æˆ\\ +\rei G10$<$- Circledata(\,c(3,1),\ 2\,) \\ +\chuu オプション\\ +\hspace*{16zw}\tab[5zw]{"R=..."}$\theta$ã®ç¯„囲\\ +\hspace*{16zw}\tab[5zw]{"N=..."}点ã®å€‹æ•°\\ +\rei G10a$<$- Circledata(\,c(3,1),\ 2,\ "R=c(0,\ pi/2)"\,)\\ +\rei G10b$<$- Circledata(\,c(3,1),\ 2,\ "N=100"\,) + +\tab{\,Framedata(P,\ dx\{,\ dy\})\,}% +点Pã‚’ä¸å¿ƒã«$\pm$dx,\ $\pm$dyã®çŸ©å½¢ï¼ˆdyã‚’çœç•¥ã™ã‚‹ã¨dy$<$- dx)\\ +\rei G3$<$- Framedata(c(3,\ 1),\ 0.5\,) + +\tab[12zw]{\,Framedata(${\rm c}(x_1,\ x_2),\ {\rm c}(y_1,\ y_2)$)\,\\}% +\tab{}$x_1 \leqq x \leqq x_2,\ y_1 \leqq y \leqq y_2$ã®çŸ©å½¢ã®PDを作æˆï¼ˆå³ä¸Šã‹ã‚‰å時計)\\ +\chuu 引数ãŒç©ºã®ã¨ã,Setwindowã§æŒ‡å®šã—ãŸæž \\ +\rei G1$<$- Framedata(${\rm c}(-2,\ 3)$,\ ${\rm c}(1,\ 4)$\,) \\ +\rei G2$<$- Framedata() + +\tab{Hatchdata( パターン文å—(list)\{, 開始点\}, (é–‰)曲線ã®åˆ—\{,kaku\{,haba\}\,\}\,)}\\ +\tab{}パターンã¨ä¸€è‡´ã™ã‚‹é ˜åŸŸã‚’斜線塗りã™ã‚‹PDを作æˆ\\ +\rei G1$<$- Hatchdata(list("io"),\ list(g1,g2),\ list(g3)\,)\\ +\mbox{}\hfill(i : 内部,o: 外部)\\ +\chuu 開始点ãŒæŒ‡å®šã•ã‚ŒãŸã¨ã\\ +\hfill(仮想的ã«ï¼‰ãã®ç‚¹ã‚’通る斜線ã‹ã‚‰æã始ã‚ã‚‹\\ +%\chuu パターンãŒãƒªã‚¹ãƒˆã®ã¨ã,ã©ã‚Œã‹ã¨ä¸€è‡´ã™ã‚‹é ˜åŸŸã‚’斜線塗り\\ +\chuu% +\begin{mini}{23zw} +kakuã¯æ–œç·šã®å‚¾ã(def=45),habaã¯é–“隔(def=1) +\end{mini}\vspace{1mm}\\ +\rei G2$<$- Hatchdata(\,list("ii"),\ O,\ list(G1),\ $-45$,\ 1.5\,)\\ +\chuu 曲線リスト内ã®PDã¯éš£æŽ¥ã®é †ã«æŒ‡å®š\\ +\chuu é–‰ã˜ã¦ã„ãªã„ã¨ã\\ +\hspace*{18zw}(1)æ–¹å‘ "s","n","w","e" を指定ã™ã‚‹\\ +\hspace*{18zw}(2)çª“æž ã¨ã¡ã‚‡ã†ã©2点ã§äº¤ã‚ã‚‹å ´åˆã€é ˜åŸŸã®ç‚¹ã‚’指定\\ +\hspace*{18zw}(3)指定ã—ãªã‘ã‚Œã°ç«¯ç‚¹ã‚’ç›´ç·šã§çµã¶.\\ +\rei G3$<$- Hatchdata(list("ii),\ list(g1,"s"),\ list(g2,\ c(3,0))\,) + +\tab{Hatchdata( é ˜åŸŸã®ç‚¹ï¼‰\{, 開始点\}, (é–‰)曲線listã®åˆ—\{,kaku\{,haba\}\,\}\,)}\\ +\tab{}点(ã®ã©ã‚Œã‹ï¼‰ãŒå«ã¾ã‚Œã‚‹é ˜åŸŸã‚’斜線塗り\\ +\rei F4$<$- Hatchdata(list(A,B,C),\ \ list(G1),\ list(G2,G3)\,)\\ +\hspace*{4zw}\chuu % +\begin{mini}{23zw} +包å«ãƒ‘ターンãŒç‚¹A, B, Cã®ã©ã‚Œã‹ã¨ä¸€è‡´ã™ã‚‹é ˜åŸŸã‚’æ–œç·šå¡—ã‚Šï¼ˆé ˜åŸŸã¯éš£æŽ¥ã™ã‚‹ã‚‚ã®ã¨ã™ã‚‹ï¼‰ +\end{mini}\vspace{2mm} + +%\tab{enclosing( P, PDリスト )}PD列ã‹ã‚‰Pを囲む閉曲線ã¨ãªã‚‹éƒ¨åˆ†æ›²ç·šã®PD列を作æˆ\\ +%\rei G1$<$- enclosing(\,c(1,0),\ c(g1,\ g2,\ invert(g3))\,)\\ +%\chuu PD列ã¯éš£æŽ¥é †ã«æŒ‡å®šã™ã‚‹ï¼ˆå‘ããŒä¸€è‡´ã™ã‚‹ã‚ˆã†ã«ã™ã‚‹ï¼‰ + +%\tab{enclosing( n, PDリスト )}% +%PD列ã‹ã‚‰ã§ãる閉曲線ã®ã†ã¡n番目ã®PD列を作æˆ\\ +%\rei G2$<$- enclosing(\,1,\ c(g1,\,g2,\,invert(g3))\,)\\ +%\chuu 0を指定ã™ã‚‹ã¨ï¼Œå…¨ã¦ã®é–‰æ›²ç·šã®ãƒªã‚¹ãƒˆã‚’è¿”ã™ï¼Ž + +\tab{Enclosing( PDリスト\{, 始点ã®è¿‘ãã®ç‚¹\} )}\\ +\tab{}PD列ã®ç›´è¿‘ã®äº¤ç‚¹ã‚’çµã‚“ã§é–‰æ›²ç·šã‚’作æˆ\\ +\rei G2$<$- Enclosing(list(G1,\,invert(G2),\,G3),\,c(2,1)\,)\\ +\tab[14zw]{}G1㨠(最後ã®)G3ã®äº¤ç‚¹ã®ã†ã¡ï¼Œc(2,1)ã«è¿‘ã„点ã‹ã‚‰å§‹ã‚ã‚‹\\ +\chuu 交点ãŒï¼‘個ã®å ´åˆã¯ï¼Œç‚¹ã‚’çœç•¥ã—ã¦ã‚ˆã„. + +\tab{Dotfilldata( パターン文å—列(リスト)\{, é–‹ 始点\}, +(é–‰)曲線PDリストã®åˆ—\{,濃ã•\})}\\ +\tab{}パターンã¨ä¸€è‡´ã™ã‚‹é ˜åŸŸã‚’点æã™ã‚‹PDを作æˆ\\ +\rei Fd$<$- Dotfilldata("ii",list(G1),list(G2),0.7)\\ +\chuu 濃ã•$d$ã¯ã€€$0< d \leqq 1$(デフォルトã¯$0.5$)\\ +\chuu 書ã出ã—ã¯ï¼ŒDrwptを用ã„る. + +\tab{Arrowdata}矢å°ã®PDを作æˆï¼ˆArrowlineå‚照)\\ +\chuu ã‚„ã˜ã‚Šã¯å¡—ã‚Šã¤ã¶ã•ãšï¼Œç·šãƒ‡ãƒ¼ã‚¿ã®ã¿ + +\tab{Arrowheaddata}ã‚„ã˜ã‚Šã ã‘ã®PDを作æˆï¼ˆArrowheadå‚照) + +\tab[20zw]{Bowdata(\,$\mbox{点A},\ \mbox{点B}$\{,\ 曲ãŒã‚Š\{,\ 切り\}\,\}\,)}\\ +\tab{}弓形ã®PDを作æˆ\\ +\chuu 曲ãŒã‚Šï¼šå¼§ã®æ›²ãŒã‚Šï¼ˆãƒ‡ãƒ•ã‚©ãƒ«ãƒˆã¯1)\\ +\chuu 切り:ä¸å¤®ã«å…¥ã‚Œã‚‹åˆ‡ã‚Šã®é•·ã•ï¼ˆãƒ‡ãƒ•ã‚©ãƒ«ãƒˆã¯0)\\ +\chuu 点Aã‹ã‚‰Bã«å時計ã¾ã‚ã‚Šã«å¼§ã‚’ã‹ã\\ +\rei G$<$- Bowdata(\,c(2,\ 1),\ c(3,\ 4),\ 0.8,\ 0.5\,) + +%\tab{Bowmiddle(\,$\mbox{点A},\ \mbox{点B}$\{,\ 曲ãŒã‚Š\})}\\ +%\tab{}弓形ã®ä¸ç‚¹ã¨è§’ã®listを返㙠+ +\tab{Bowmiddle(\,弧データ\ )}弓形ã®ä¸ç‚¹ã‚’返㙠+ +\tab{Splinedata(点データ\{, オプション\}\})}\\ +\tab{}spline曲線ã®PDを作æˆ\\ +%\chuu ファイルã¯ï¼Œspace, comma, tab 区切りã®textファイル\\ +%\chuu 開始ä½ç½®ï¼šãƒ•ã‚¡ã‚¤ãƒ«ã®èªè¾¼ã¿é–‹å§‹è¡Œã¨åˆ—.defaultã¯c(2,\ 1)\\ +\chuu 点データã¯ãƒªã‚¹ãƒˆã¾ãŸã¯PD\\ +\chuu オプション:\\ +\hspace*{18zw}"N$<$- 点ã®å€‹æ•°" (デフォルトã¯50)\\ +\hspace*{18zw}"C" (閉曲線ã§ã‚¹ãƒ ーズã«ã¤ãªã)\\ +%\rei Fs$<$- Splinedata("c:/data.txt",\ c(2,4),\ "N$<$- 100")\\ +\rei Fs$<$- Splinedata(PL, "N$<$- 200", "C")(PLã¯ç‚¹ãƒ‡ãƒ¼ã‚¿ï¼‰ + +%\tab{Skeleton2data(\,å¹³é¢æ›²ç·šlist1,平é¢æ›²ç·šlist2\{,大ãã•% +%\{,\ é è¿‘ã®é–¾å€¤\}\}\,)}\\ +%\tab{}list2ã§éš ã•ã‚Œã‚‹list1ã®ã‚¹ã‚±ãƒ«ãƒˆãƒ³ãƒ‡ãƒ¼ã‚¿ã‚’ä½œæˆ + +\tab{Anglemark(A, B, C \{, サイズ \})}\\ +\tab{}$\angle \mathrm{ABC}$ã®é–“ã®è§’度記å·ã‚’作æˆ\\ +\chuu BAã‹ã‚‰BCã¸å時計回りã«æã\\ +\chuu サイズã®ãƒ‡ãƒ•ã‚©ãƒ«ãƒˆã¯0.5 + +\tab{Paramark(A, B, C \{, サイズ\})}\\ +\tab{}$\angle \mathrm{ABC}$ã®é–“ã®è§’度記å·ï¼ˆå¹³è¡Œå››è¾ºå½¢ï¼‰ã‚’ä½œæˆ + +%\tab{Sumfun(\{ å®šæ•°é …, \}ä¸€èˆ¬é …, æ·»å—ã®ãƒªã‚¹ãƒˆï¼Œå¤‰æ•°ã®ç¯„囲,\{ 点ã®å€‹æ•° \})}\\ +%\tab{} $\displaystyle c+\sum_{k= a}^{b}f(x,\ k)$ã®PDを作æˆï¼ˆ{\bf Scilabã«è¿½åŠ })\\ +%\chuu å®šæ•°é …ãŒ0ã®ã¨ãã¯çœç•¥ã§ãる.\\ +%\chuu 点ã®å€‹æ•°ã¯ "N$<$- 個数" ã§æŒ‡å®šï¼ˆãƒ‡ãƒ•ã‚©ãƒ«ãƒˆã¯çµ‚ã‚ã‚Šã¾ã§ï¼‰\\ +%\rei G1$<$- Sumfun(1, "x\verb|^|n/factorial(n)", "n$<$- 1:5", "x$<$- c($-2,\ 2)$") + +%\tab{Implicitplot(関数,x範囲,y範囲\{, 分割数\})}\\ +%\tab{Implicitplot(Zvalue, Xvalue, Yvalue) }\\ +%\tab{}陰関数ã®PDを作æˆ\\ +%\chuu 分割数ã®ãƒ‡ãƒ•ã‚©ãƒ«ãƒˆã¯ã€€c(50, 50)\\ +%\rei \verb|G1$<$- Implicitplot("x^2+y^2-1","x$<$- c(-1,1)","y$<$- c(-1,1)")| + +%\tab{Deqplot(方程å¼ï¼Œx範囲,x0,y0\{, 分割数\})}\\ +%\tab{}微分方程å¼ã®è§£æ›²ç·šã®PDを作æˆ\\ +%\chuu $y"$㯠y\bq ã¨æ›¸ã.\\ +%\chuu xã®ç¯„囲をçœç•¥ã™ã‚‹ã¨ï¼Œæ画範囲全体\\ +%\rei \verb|G1$<$- Deqplot("y|\bq \verb|$<$- y*(1-y)","x",0,0.2,"N$<$- 100")|\\ +%\rei \verb|G2$<$- Deqplot"("y|\bq\bq \verb|$<$- -0.4*y`-3*y","x$<$- c(0,5)",0,c(0,2))| +%\rei \verb|G3$<$- Deqplot("c(x,y)|\bq \verb|$<$- c(x*(1-y),0.3*y*(x-1))",...|\\ +%\reicr \verb| "t$<$- c(0,20)",0,c(1,0.5),"N$<$- 200")| + +% + +\subsection{空間図形} + +\tab{Spaceline(\,空間点ã®ãƒ™ã‚¯ãƒˆãƒ«ã¾ãŸã¯list\,)}\\ +\tab{}空間点をçµã¶ç·šåˆ†ã®PD3dを作æˆ\\ +\rei G1$<$- Spaceline(\,c(c(3,\ 2,\ 1),\ c(5,\ 6,\ 6))\,) + +\tab{Spacecurve(\,関数,範囲,オプション\,)}\\ +\tab{}空間曲線ã®PD3dを作æˆ\\ +\rei G2$<$- Spacecurve( "c(cos(t),\ sin(t),\ t)",\ "t$<$- c(0, 2*\%pi)" ) + +\tab{Rotate3data(PD3, v1, v2\ \{, ä¸å¿ƒ\})}\\ +\tab{}PD3ã‚’v1ãŒv2ã«é‡ãªã‚‹ã‚ˆã†ã«å›žè»¢ã—ãŸPD3dを作æˆ\\ +\rei G2$<$- Rotate3data(\,G1, c(1, 0, 0), c(1, 2, 3)\,)\\ +\chuu PD3ã¯listã§ã‚‚よã„(ã“ã®å ´åˆã¯listã‚’è¿”ã™ï¼‰ + +\tab{Rotate3datac(PD3, 回転軸, 角度\ \{, ä¸å¿ƒ\})}\\ +\tab{}PD3を回転軸ã®ã¾ã‚ã‚Šã«å›žè»¢ã—ãŸPD3dを作æˆ\\ +\rei G2$<$- Rotate3datac(\,G1, c(0, 0, 1), \%pi/4\,)\\ +\chuu PD3ã¯listã§ã‚‚よã„(ã“ã®å ´åˆã¯listã‚’è¿”ã™ï¼‰ + +\tab{Translata3data(PD3, 移動ベクトルv)}\\ +\tab{}PD3ã‚’vã ã‘移動ã—ãŸPD3dを作æˆ\\ +\rei G2$<$- Translate3datac(\,G1, c(3, 2, 1)\,)\\ +\rei G2$<$- Translate3datac(\,G1, 3, 2, 1\,)\\ +\chuu PD3ã¯listã§ã‚‚よã„(ã“ã®å ´åˆã¯listã‚’è¿”ã™ï¼‰ + +\tab{Xyzax3data(\,$x$範囲, $y$範囲, $z$範囲\,)}\\ +\tab{}座標軸ã®PD3dã®listã‚’ä½œæˆ + +\tab{Projpara(\,PD3列ã¾ãŸã¯list\,)}\\ +\tab{}空間曲線ã®å¹³è¡ŒæŠ•å½±ã«ã‚ˆã‚‹å°„å½±PD( 2d )ã‚’ä½œæˆ + +\tab{Projpers(\,PD3列ã¾ãŸã¯list\,)}\\ +\tab{}空間曲線ã®ä¸€ç‚¹æŠ•å½±ã«ã‚ˆã‚‹å°„å½±PD( 2d )ã‚’ä½œæˆ + +\tab{Skeletonparadata(\,空間曲線list1,空間曲線list2\{,大ãã•% +\{,\ é è¿‘ã®é–¾å€¤\}\}\,)}\\ +\tab{}\begin{mini}{30zw} +平行投影ã§list1ã‹ã‚‰list2ã«ã‚ˆã‚Šéš ã•ã‚Œã‚‹éƒ¨åˆ†ã‚’除ã„ãŸæ®‹ã‚Šã®å¹³é¢PD列 +(スケルトンデータ)を作æˆ\vspace*{2mm} +\end{mini} + +\tab{Skeletonpara3data(\,空間曲線list1,空間曲線list2\{,大ãã•% +\{,\ é è¿‘ã®é–¾å€¤\}\}\,)}\\ +\tab{}\begin{mini}{30zw} +平行投影ã§list1ã‹ã‚‰list2ã«ã‚ˆã‚Šéš ã•ã‚Œã‚‹éƒ¨åˆ†ã‚’除ã„ãŸæ®‹ã‚Šã®ç©ºé–“PD列 +(スケルトンデータ)を作æˆ\vspace*{2mm} +\end{mini} + +\tab{Skeletonpersdata(\,空間曲線list1,空間曲線list2\{,大ãã•% +\{,\ é è¿‘ã®é–¾å€¤\}\}\,)}\\ +\tab{}一点投影ã§list2ã«ã‚ˆã‚‹list1ã®ã‚¹ã‚±ãƒ«ãƒˆãƒ³ãƒ‡ãƒ¼ã‚¿(2D)ã‚’ä½œæˆ + +\tab{Skeletonpers3data(\,空間曲線list1,空間曲線list2\{,大ãã•% +\{,\ é è¿‘ã®é–¾å€¤\}\}\,)}\\ +\tab{}一点投影ã§list2ã«ã‚ˆã‚‹list1ã®ã‚¹ã‚±ãƒ«ãƒˆãƒ³ãƒ‡ãƒ¼ã‚¿(3D)ã‚’ä½œæˆ + +\tab{Embed(\,å¹³é¢æ›²ç·šï¼ˆãƒªã‚¹ãƒˆï¼‰ï¼ŒåŸ‹ã‚è¾¼ã¿é–¢æ•°\,)}\\ +\tab{}埋ã‚è¾¼ã¿é–¢æ•°ã«ã‚ˆã‚Šç©ºé–“曲線を作æˆ\\ +\rei \verb|deff("Out$<$- Fun(x,y)","Out$<$- c(x,y,0)")|\\ +\reicr \verb|G1$<$- Listplot(c(0,0),c(3,2))|\\ +\reicr \verb|G1_3d$<$- Embed(G1,Fun)| + +% +\subsection{多é¢ä½“ã®æç”»} + +\tab{Phcutdata(é ‚ç‚¹ãƒªã‚¹ãƒˆVL, é¢æ·»å—リストFL, å¹³é¢ãƒ‡ãƒ¼ã‚¿PlaneD)}\\ +\tab{}多é¢ä½“ã‚’å¹³é¢ã§åˆ‡ã£ãŸã¨ãã®å¤šé¢ä½“ã¨åˆ‡æ–é¢ã®3dリストを作æˆ\\ +\chuu PlaneD(平é¢ï¼‰ã®å½¢å¼\\% +\hspace*{18zw}\begin{mini}{20zw} +"a*x+b*y+c*z-d",\ "a*x+b*y+c*z$<$- d"\\ +\hspace*{2zw}(x,\ y,\ zをクリアã—ã¦ãŠã)\\ +ã¾ãŸã¯ã€€"c(a, b, c, d)"\\ +\hspace*{4zw} "list(a, b, c, P)"(点Pを通る) +\end{mini}\vspace{2mm}\\ +\chuu 切æ–é¢ã¯ãƒªã‚¹ãƒˆã®æœ€å¾Œã®è¦ç´ \\ +\rei VL$<$- list(c(0, 0, 0), c(1, 0, 0), c(0, 1, 0), c(0, 0, 1))\\ +\reicr FL$<$- list(c(1, 2, 3), c(1, 2, 4), c(1, 3, 4), c(2, 3, 4))\\ +\reicr PL$<$- Phcutdata(VL, FL, "c(1, 1, 1, 3)")\\ +\reicr Windisp(PL) + +\tab{Phcutoffdata(VL, FL, PlaneD, 符å·)}\\ +\tab{}PlaneDã§åˆ‡æ–ã•ã‚ŒãŸéƒ¨åˆ†å¤šé¢ä½“ã®3dデータリストを作æˆ\\ +\chuu 符å·ã¯ã€€\verb|"+"| ã¾ãŸã¯ \verb|"-"|\\ +\rei PL$<$- Phpcutoffdata(VL, FL, "x+y+(z-1/2)", "+")\\ +\chuu PhVertexL(), PhFaceL()ã§é ‚点,é¢ãƒªã‚¹ãƒˆã‚’å–り出ã›ã‚‹ï¼Ž + +\tab{Phparadata(VL, FL)}陰線処ç†ã‚’ã—ãŸå¤šé¢ä½“ã®PD3d(平行投影)を作æˆ\\ +\tab{Phpersdata(VL, FL)}陰線処ç†ã‚’ã—ãŸå¤šé¢ä½“ã®PD3d(一点投影)を作æˆ\\ +\chuu PhHiddenData()ã§é™°ç·šã®PDã‚’å–り出ã›ã‚‹ï¼Ž + +\tab{Phsparadata(é¢datalist)}複数ã®å¤šé¢ä½“ã®PD3d(平行投影)を作æˆï¼ˆé™°ç·šå‡¦ç†ï¼‰\\ +\tab{Phspersdata(é¢datalists)}複数多é¢ä½“ã®PD3d(一点投影)を作æˆï¼ˆé™°ç·šå‡¦ç†ï¼‰\\ +\chuu é¢datalistã¯list(VL, FL),ã¾ãŸã¯ï¼Œãã®list\\ +\chuu é¢ã‚’点ã§ç›´æŽ¥æŒ‡å®šã™ã‚‹ã¨ãã«ã¯ VL$<$- list()ã¨ã™ã‚‹ï¼Ž\\ +\rei Fd$<$- list(list(),list(c(3,2,1),c(0,0,0),c(c(1,2,4)))\\ +\chuu PhHiddenData()ã§é™°ç·šã®PDã‚’å–り出ã›ã‚‹ï¼Ž + +\tab{Phsrawparadata(é¢datalist), Phsrawpersdata(é¢datalist)}\\ +\tab{}複数ã®å¤šé¢ä½“ã®PD3dを作æˆï¼ˆé™°ç·šå‡¦ç†ã‚’ã—ãªã„) + +\tab{Facesdata(é¢datalist \{ ,è¿½åŠ æ›²ç·šPDlist \}, å°„å½±ã®ã‚¿ã‚¤ãƒ—)}\\ +\tab{}é¢ã®è¾ºï¼ˆã¨è¿½åŠ 曲線)をé¢ã«ã‚ˆã‚Šé™°ç·šå‡¦ç†\\ +\chuu å°„å½±ã®ã‚¿ã‚¤ãƒ—㯠"para","pers","rawpara’,"rawpers" + +\tab{Faceremovaldata(é¢datalist,曲線PDlist, å°„å½±ã®ã‚¿ã‚¤ãƒ—)}\\ +\tab{}曲線をé¢ã«ã‚ˆã‚Šé™°ç·šå‡¦ç† + +\section{データã®æ›¸ã出ã—} + +\subsection{基本コマンド} + +\tab{Windisp( PD列ã¾ãŸã¯list )}\\ +\tab{}ç”»é¢ã‚’é–‹ã,PD列を表示(確èªã®ãŸã‚)\\ +\rei Windisp(\,G1,\ G2\,)\\ +\rei Windisp(list(G1,G2)) + +\tab{WindispT( PD列ã¾ãŸã¯list \{, オプション\} )}\\ +\tab{}ç”»é¢ã‚’é–‹ã,PD列を表示(確èªã®ãŸã‚)図をé‡ãã¦è¡¨ç¤ºã™ã‚‹ï¼Žäº‹å‰ã«WindispT()\\ +\rei WindispT(\,G1,\ G2\,color="red",width=1,new=TRUE\,)\\ +\rei WindispT(list(col="blue",border="white",G1),new=TRUE) \\ +\hspace*{18zw}(閉曲線G1ã‚’å¡—ã‚‹)\\ +\rei WindispT(list(col="blue",border="white",density=200,G1,G2),new=TRUE)\\ +\hspace*{18zw} (閉曲線G1,G2ã‚’å¡—ã‚‹.densityã¯å†…å´ã‚’線分ã§å¡—ã‚Šã¤ã¶ã™å ´åˆã®ãƒ‘ラメータ) + +\tab{Openfile('ファイルå'\,\{ソースファイルå\}) }\\ +\tab{}書ã出ã—用ファイルを開ã(デフォルトã¯ç”»é¢ï¼‰\\ +\rei setwd("C:/TeXF") \\ +\reicr Openfile(\, "fig.tex"\,)\\ +\reicr Openfile(\,'fig.tex',\,'fig.r'\,)\\ +\chuu ソースãŒåŒä¸€ãƒ•ã‚©ãƒ«ãƒ€ã«ã‚ã‚‹ã¨ãã¯ï¼Œç¬¬ï¼’引数ã¯ä¸è¦ + +\tab{Beginpicture("å˜ä½é•·"\,)}picture 環境を始ã‚る.\\ +\rei Beginpicture("1cm"\,)\\ +\rei Beginpicture("2*10/12cm"\,) + +\tab{Endpicture(\,1\,)}picture 環境を終ãˆã‚‹ï¼ˆåº§æ¨™è»¸ã‚’ã‹ã)\\ +\tab{Endpicture(\,0\,)}picture 環境を終ãˆã‚‹ï¼ˆåº§æ¨™è»¸ã‚’ã‹ã‹ãªã„) + +\tab{Closefile(\,)\,}書ã出ã—用ファイルを閉ã˜ã‚‹ï¼ˆãƒ‡ãƒ•ã‚©ãƒ«ãƒˆï¼ç”»é¢ã«æˆ»ã™ï¼‰ + +\subsection{プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿} + +\tab{Drwline(\,PD列ã¾ãŸã¯list\{, 太ã•\}\,)}\\ +\tab{}PD列ã¾ãŸã¯ã‚’実線ã§æ›¸ã出ã™\\ +\rei Drwline(\,G1,\ G2\,)\\ +\rei Drwline(\,G3,\ 0.5\.) + +\tab{Dashline(\,PD列ã¾ãŸã¯list\{, len \{, gap\}\,\}\,)}\\ +\tab{}PD列ã¾ãŸã¯listã‚’ç ´ç·šã§æ›¸ã出ã™ï¼ˆå®Ÿç·šéƒ¨ã‹ã‚‰å§‹ã¾ã‚‹ï¼‰\\ +\rei Dashline(\,G1,\ G2\,)\\ +\rei Dashline(\,G1,\ 1.5\,)\hfill(実線部,ギャップã¨ã‚‚ 1.5å€ï¼‰\\ +\rei Dashline(\,G1,\ G2,\ 1.5,\ 0.5\,)\\ +\hfill(実線部 1.5å€ï¼Œã‚®ãƒ£ãƒƒãƒ— 0.5å€ï¼‰ + +\tab{Invdashline(\,PD列ã¾ãŸã¯list\{, len\{, gap\}\,\}\ )}\\ +\tab{}ç ´ç·šã‚’æ›¸ã出ã™ï¼ˆã‚®ãƒ£ãƒƒãƒ—ã‹ã‚‰å§‹ã¾ã‚‹ï¼‰ + +\tab{Dottedline(\,PD列ã¾ãŸã¯list\{, len \{, size\}\,\}\,)}\\ +\tab{}点線を書ã出ã™\\ +\rei Dottedline(\,G1,\ G2\,)\\ +\rei Dottedline(\,G1,\ 1.5\,) (間隔 1.5å€ï¼‰\\ +\rei Dottedline(\,G1,\ G2,\ 1,\ 0.5\,)(点ã®å¤§ãã• 0.5å€ï¼‰ + +\tab{Arrowline(\,A, B \{, éƒã®å¤§ãã• \{, é–‹ã角 \{, éƒä½ç½® \{, 太ã•\}\,\}\,\} \{, \\ +\hspace*{20zw}å½¢ã¨ä½ç½® +,\ "Cut=切り込ã¿çŽ‡"\}\,\}\,)}\\ + +\tab{}点Aã‹ã‚‰Bã«å‘ã‘ã¦çŸ¢å°ã‚’ã‹ãコードを書ã出ã™\\ +\rei Arrowline(\,A,\ B\,)\\ +\rei Arrowline(\,A,\ B,\ 2,\ 10,"l"\,)\\ +\rei Arrowline(\,A,\ B,\ 1,\ 18,\ 0.5,\ 2,"lc"\,)\\ +\hspace*{6zw}\chuu ABã®ä¸ç‚¹ã®ä½ç½®ã«éƒã‚’ã‹ã + + +\tab{Arrowhead(\,ä½ç½®,\ æ–¹å‘\{,\ 大ãã•\{,\ 角度\},\ 形状ã¨ä½ç½®,\ "Cut=切り込ã¿çŽ‡"\}\,)} + +\tab{}éƒã ã‘を書ã出ã™\\ +\rei Arrowhead(\,c(0,\ 0),\ c(2,\ 1),\ "cl"\,) + +\tab{Arrowhead(\,P,\ PD\{,\ 大ãã•\{,\ 角度\},\ 形状ã¨ä½ç½®\}\,)}\\ +\tab{}PD上ã®ç‚¹Pã«çŸ¢å°ã‚’æã\\ +\rei Arrowhead(\,c(1,\ 1),\ Plotdata("x\^{}2","x"\,))\\ +\chuu éƒã¯ãƒ©ã‚¤ãƒ³ + +\tab{Drwpt(点ã®åˆ— \{, å¡—ã‚Š\})}点を書ã出ã™ï¼ˆå¤§ãã•ã¯ Setptã§æŒ‡å®šï¼Œå¡—ã‚Šã®ãƒ‡ãƒ•ã‚©ãƒ«ãƒˆã¯1)\\ +\rei Drwpt(\,c(2,\ 3),\ c(5,\ 7)\,) + +\tab{Drwxy(\,)}座標軸を書ã出㙠+ +\tab{Htickmark( 座標, æ–¹å‘, æ•°å¼ , $\cdots$ )}\\ +\tab{}横軸上ã«ç›®ç››ã‚Šã‚’ã¤ã‘る(方å‘ã®ãƒ‡ãƒ•ã‚©ãƒ«ãƒˆã¯"s"\,) + +\tab{Vtickmark( 座標, æ–¹å‘, æ•°å¼ , $\cdots$ )}\\ +\tab{}縦軸上ã«ç›®ç››ã‚Šã‚’ã¤ã‘る(方å‘ã®ãƒ‡ãƒ•ã‚©ãƒ«ãƒˆã¯"w"\,)\\ +\rei Htickmark(\,$-1$,"$-1$",\ 1,"1",\ pi,"$\backslash$pi"\,)\\ +\rei Vtickmark(\ $-1$,"e","$-1$",\ 1,"ne","1"\,)\\ +\rei Htickmark(c(2,1),\ "a"\,)\\ +\chuu æ•°å¼ã‚’çœç•¥ã™ã‚‹ã¨ç›®ç››ã‚Šã ã‘ã‚’ã¤ã‘ã‚‹ + +\tab{Htickmark("m..n..r..")}横軸全体ã«ç›®ç››ã‚Šã‚’ã¤ã‘ã‚‹ + +\tab{Vtickmark("m..n..r.."\,)}縦軸全体ã«ç›®ç››ã‚Šã‚’ã¤ã‘ã‚‹\\ +\chuu m(目盛りã®é–“隔),n(文å—を何目盛り毎ã«ï¼‰ï¼Œr(数ã®å€çŽ‡ï¼‰\\ +\rei Htickmark("mn")(目盛りã¨æ•°ã‚’1間隔ã§ã¤ã‘る)\\ +\rei Vtickmark("m1n2r1.5")(1.5å€ã—ãŸæ•°ã‚’1ã¤ã¨ã³ã«ï¼‰ + +\tab[13zw]{Shade(\,PD列ã¾ãŸã¯list\{, 濃ã•\}\,)\mbox{}}\\ +\tab{}閉曲線ã®å†…部を塗りã¤ã¶ã— 濃ã•: 0 〜 1(デフォルトã¯ï¼‘) + +\subsection{æ–‡å—ã®æ›¸ã入れ} + +\tab{Letter(\ 点, æ–¹å‘, æ–‡å—列 ,・・・)}\\ +\tab{}点ã®ä½ç½®ã®ã€Œæ–¹å‘ã€ã«æ–‡å—列をã‹ã(複数å¯ï¼‰\\ +\rei Letter(\,c(4,\ 3),"n","æ–‡å—")\\ +\chuu ä½ç½®ã¯"n", "s", "e", "w", "ne", "nw", "se", "sw", "c"\\ +\chuu "n1" nã®æ–¹å‘ã«ã•ã‚‰ã«1目盛長ã ã‘離ã™ï¼Ž\\ +\chuu "s-1w2" sæ–¹å‘ã«-1目盛長,wæ–¹å‘ã«2目盛長ã ã‘離ã™ï¼Ž + +\tab{Expr(\ 点, æ–¹å‘, æ•°å¼ï¼Œãƒ»ãƒ»ãƒ»)}点ã®ä½ç½®ã®ã€Œæ–¹å‘ã€ã«æ•°å¼ã‚’ã‹ã(\$\$ã¯ä¸è¦ï¼‰\\ +\rei Expr(c(4, 3),"s","y=f(x)") + +\tab{Letterrot(\ 点, æ–¹å‘\ \{, 接線方å‘\ \{, 法線方å‘\}\}, æ–‡å—列)}\\ +\tab{Exprrot(\ 点, æ–¹å‘\ \{, 接線方å‘\ \{, 法線方å‘\}\}, æ–‡å—列)}\\ +\tab{}「点ã€ã®ä½ç½®ã«ã€Œæ–¹å‘ã€ã‚’å³æ¨ªæ–¹å‘ã«ã™ã‚‹ã‚ˆã†ã«æ–‡å—を傾ã‘ã¦æ›¸ã\\ +\chuu 「接線方å‘ã€ï¼Œã€Œæ³•ç·šæ–¹å‘ã€ã¯ãã‚Œãžã‚Œã®å¾®å°‘移動é‡\\ +\chuu graphicxパッケージãŒå¿…è¦ + +\tab{Texletter(\ 点(listå½¢å¼), æ–¹å‘, æ–‡å—列 ,・・・)}\\ +\tab{}点ã®ä½ç½®ã®ã€Œæ–¹å‘ã€ã«æ–‡å—列をã‹ã(複数å¯ï¼‰\\ +\rei Texletter(\,list(4,,\ "\#1"),"n","æ–‡å—")\\ +\chuu ä½ç½®ã¯"n", "s", "e", "w", "ne", "nw", "se", "sw", "c"\\ +\chuu 点ã®ä½ç½®ã¯ãƒªã‚¹ãƒˆå½¢å¼ã§ï¼Œ\TeX ã®æ–‡å—列を渡ã™ã“ã¨ãŒã§ãる. + +\tab{Openphr(\,ユーザーコマンドå\,),Closephr(\,)}\\ +\tab{}$\backslash$defã®ã‚³ãƒžãƒ³ãƒ‰å®šç¾©\\ +\rei Openphr("$\backslash$p"\,)\\ +\reicr  Texcom("$\backslash$begin\{array\}\{cc\}"\,)\\ +\reicr  Texcom("5 \& 3$\backslash\backslash$"\,)\\ +\reicr  Texcom("8 \& 7"\,)\\ +\reicr  Texcom("$\backslash$end\{array\}\$"\,)\\ +\reicr Closephr(\,) + +\tab{Openpar(\,ユーザーコマンドå,幅 \{ ç¸¦æ–¹å‘ \}\,), Closepar(\,)}\\ +\tab{}minipage環境をå«ã‚€$\backslash$def コマンド定義\\ +\rei Openpar("$\backslash$s","5cm", "t"\,)\\ +\reicr  Texcom("$\backslash$input\{rei\}"\,)\\ +\reicr Closepar(\,)\\ +\reicr Letter(\,c(2,\ 3),"se","$\backslash$s"\,)\\ +\chuu 縦方å‘ã®ãƒ‡ãƒ•ã‚©ãƒ«ãƒˆã¯ c + +\tab{Fontsize("記å·"\,)}æ–‡å—サイズã®å¤‰æ›´ã‚³ãƒžãƒ³ãƒ‰ã‚’書ã出ã™\\ +\tab[13zw]{}"n", "s", "f",% + "ss", "t", \\ +\tab[13zw]{}"la", "La", % +"LA", "h", "H"(""\,ã®ã¨ã"n"\,)\\ +\rei Fontsize("s") + +\tab{Texcom("コマンド"\,)}\TeX コマンドã®ã‚³ãƒ¼ãƒ‰ã‚’書ã出ã™\\ +\rei Texcom("$\backslash$newcounter\{tmpct\}")\\ +\chuu "newline" ã®ã¨ã,空白行を挿入 + +\tab{Bowname(å¼“å½¢ï¼Œæ•°å¼ )}弓形PDã®ä¸å¤®ã«å¼ã‚’書ã入れる\\ +\rei Gb$<$- Bowdata( A, B, 1, 0.5)\\ +\reicr Bowname(Gb, "d") + +\tab{Bownamerot( 弓形,数å¼\{,å‘ã\} )}\\ +\tab{}弓形PDã®ä¸å¤®ã«å¼ã‚’傾ã‘ã¦æ›¸ã入れる\\ +\chuu graphicxパッケージãŒå¿…è¦\\ +\chuu å‘ãã« $-1$を指定ã™ã‚‹ã¨å‘ããŒå対ã«ãªã‚‹ + +\tab{Xyzaxparaname(\,軸データ \{, å„軸ã®ãƒ©ãƒ™ãƒ«å \}\{,離れ\}\,)}\\ +\tab{}平行投影ã§ï¼Œå„軸ã®ãƒ©ãƒ™ãƒ«ã‚’書ã入れる\\ +\rei Gax$<$- Xyzax3data( "x$<$- c(0,1)", "y$<$- c(0,1)", "z$<$- c(0,2)" )\\% ($x,y,z$を書ã)\\ +\reicr Xyzaxparaname(Gax)\\% ($x,y,z$を書ã)\\ +\chuu "\yen sin x" ãªã©æ–‡å—列ã§æŒ‡å®šã™ã‚‹ã“ã¨ã‚‚ã§ãã‚‹ + +\tab{Xyzaxpersname(\,軸データ \{, å„軸ã®ãƒ©ãƒ™ãƒ«å \}\{,離れ\}\,)}\\ +\tab{}一点投影ã§ï¼Œå„軸ã®ãƒ©ãƒ™ãƒ«ã‚’書ã入れる\\ +\rei Xyzaxpersname(Gax, "", "", "w") + +%\vspace*{-0.5zw} + +%\vspace*{-2zw} + +\section{プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã®æ“作} + +\subsection{å¹³é¢} + +\tab{Joingraphics(PD1,PD2,・・・\{ , "L" \})}\\ +\tab{}複数ã®PDを1ã¤ã®PDã«åˆä½µ \\ +\reicr G11$<$- Joingraphics(\,F9,\ G10\,)\\ +\chuu "L"を指定ã—ãŸã¨ãã¯ï¼Œçµæžœã‚’リストã§è¿”ã™ + +\tab{Dividegraphics(PD)}PDã‚’è¦ç´ ã«åˆ†ã‘ãŸlistを作æˆ\\ +\rei FL$<$- Dividegraphics(G1)\\ +\rei G1$<$- Op(1, FL) + +\tab{Joincrvs(\,PD列\,)}複数ã®æ›²ç·šã‚’ã¤ãªã’ãŸPDを作æˆï¼ˆ2D, 3D共通)\\ +\rei G3$<$- Joincrvs(\,G1,\ Invert(G2)\,)\\ +\chuu 曲線ã¯éš£æŽ¥ã™ã‚‹é †ç•ªã§æŒ‡å®šã™ã‚‹ + +\tab{Invert( PD )}PDã®ç‚¹åˆ—ã‚’é€†é †ã«ã—ãŸPDを作æˆï¼ˆ2D, 3D共通) + +%\tab{connectseg(PD)}細切れã®ç·šåˆ†ã‚’çµã¶PDリストを作æˆ\\ +%\hspace*{-4zw}\rei connectseg(implicitplot(x\textasciicircum 2+y\textasciicircum 2$<$- 1,x$<$- -2..2,y$<$- -2..2)) + +\tab{Partcrv(\,s1,\ s2, PD\,)}曲線PD上ã®ãƒ‘ラメータ値s1, s2を両端ã¨ã™ã‚‹PDを作æˆ\\ +\chuu s1 $>$ s2 ã®å ´åˆ\\ +\hspace*{180pt}s2ã‹ã‚‰çµ‚点,始点ã‹ã‚‰s1ã¾ã§ã®PDã®ãƒªã‚¹ãƒˆã‚’出力\\ +\hspace*{180pt}PDãŒé–‰æ›²ç·šã®ã¨ãã¯ä¸Šã®ï¼’ã¤ã®PDã‚’ã¤ãªã’る. + +\tab{Partcrv(\,A, B, PD\,)}曲線PD上ã®ç‚¹A, Bã®é–“ã®éƒ¨åˆ†æ›²ç·šã®PDを作æˆ\\ +\chuu +\begin{mini}{23zw}% +A, Bã®é †åºãŒé€†è»¢ã—ã¦ã„ã‚‹ã¨ã,Bã‹ã‚‰çµ‚点,始点ã‹ã‚‰Aã¾ã§ã®PDã®ãƒªã‚¹ãƒˆï¼ˆé–‰ã®ã¨ã接続)を出力 +\end{mini}\vspace{2mm}\\ +\rei G1$<$- Plotdata(\,"x\textasciicircum 2",\ "x=c(XMIN, XMAX)"\,)\\ +\reicr G2$<$- Partcrv(\,c(0,0),\ c(1,1),\ G1)\\ +\reicr G3$<$- Partcrv(\,c(1,1),\ c(0,0),\ G1) + + +\tab{Intersectcrvs(PD1, PD2)}2曲線PD1, PD2ã®äº¤ç‚¹ãƒªã‚¹ãƒˆã‚’作æˆ\\ +\rei G1$<$- Paramplot("c(cos(t),\ sin(t))",\ "t=c(0, 2*\%pi)")\\ +\reicr G2$<$- Plotdata("x+1/2",\ "x")\\ +\reicr PL$<$- Intersectcrvs(\,G1,G2\,) + +\tab{IntersectcrvsPp(PD1, PD2)}\\ +\tab{}2曲線PD1, PD2ã®äº¤ç‚¹ã¨ãƒ‘ラメータã®ãƒªã‚¹ãƒˆã‚’ä½œæˆ + +\tab{Intersectlines(L1, L2)}ï¼’ç›´ç·šã®äº¤ç‚¹ã‚’è¿”ã™\\ +\rei L1$<$- Lineplot(A, B)\\ +\reicr L2$<$- Lineplot(C, D)\\ +\reicr P$<$- Intersectcrvs(\,L1,L2\,) + +\tab{Nearestpt(\ P, PD\ )}点Pã«æœ€ã‚‚è¿‘ã„曲線PD上ã®ç‚¹ã¨ãƒ‘ラメータ値ã®ãƒªã‚¹ãƒˆã‚’è¿”ã™\\ +\rei Pp$<$- Nearestpt(\,c(0,\ 1),\ G1\,)\\ +\reicr A$<$- Op(1,Pp) + +\tab{Nearestpt(\,PD1,\ PD2\,)}% +PD1ã®ç¯€ç‚¹ã®ã†ã¡ã€PD2ã«æœ€ã‚‚è¿‘ã„点データã®ãƒªã‚¹ãƒˆã‚’è¿”ã™\\ +\rei Pp$<$- Nearestpt(\,G1,\ G2)\\ +\reicr A$<$- Op(1,Pp) + +\tab{Ptstart(\,PD\,), Ptend(\,PD)\,}曲線PDã®å§‹ç‚¹ï¼ˆçµ‚点)を返㙠+ + +%\tab{Ptlistcrv(\,PD)\,}曲線PDã®ç¯€ç‚¹ãƒ‡ãƒ¼ã‚¿ãƒªã‚¹ãƒˆã‚’返㙠+ +\tab{Numptcrv(\,PD)\,}曲線PDã®ç¯€ç‚¹ãƒ‡ãƒ¼ã‚¿ã®å€‹æ•°ã‚’返㙠+ +\tab{Ptcrv(\,n,\,PD)\,}曲線PDã®n番目ã®ç¯€ç‚¹ã‚’返㙠+ +\tab{Pointoncrv(\,s,\ PD\,)}PD上ã®ç‚¹ã§ãƒ‘ラメータ値sã‚’ã‚‚ã¤ç‚¹ã‚’è¿”ã™\\ +\rei Pointoncrv(5.3,\ G1)\\ +\reicr  (5番目ã®ç·šåˆ†ä¸Šã§0.3ã®ä½ç½®ã«ã‚る点) + +\tab[13zw]{Paramoncrv(P \{,\ n \},\ PD)}% +PD(ã®n番目ã®ç·šåˆ†ï¼‰ä¸Šã«ã‚る点Pã®ãƒ‘ラメータを返ã™\\ +\rei Paramoncrv( c(3,\ 2), G1)\\ +\rei Paramoncrv(c(2,\ 4), 5, G1) + +%\tab[13zw]{Droppoint(PD \{, é™ç•Œå€¤\})} é™ç•Œå€¤ä»¥ä¸‹ã®éš£æŽ¥ç‚¹ã‚’è½ã¨ã—ã¦ç‚¹ã‚’å°‘ãªãã™ã‚‹ï¼Ž\\ +%\chuu é™ç•Œå€¤ã®ãƒ‡ãƒ•ã‚©ãƒ«ãƒˆå€¤ã¯0.02 + +%\tab{Powersum(\,係数リスト(list), 変数値x \{, ä¸å¿ƒc\} \,)}\\ +%\tab{}$\displaystyle \sum_{k= 0}^n a_n (x-c)^k$ã®å€¤ã‚’è¿”ã™ï¼Žï¼ˆPlotdataã§ä½¿ç”¨ï¼‰\\ +%\chuu 係数リスト㯠list( æ·»å—リスト,係数リスト)ã®å½¢\\ +%\rei Tmp1$<$- 0:20\\ +%\reicr Tmp2$<$- ones(length(Tmp1))./factorial(Tmp1)\\ +%\reicr CL$<$- list(Tmp1, Tmp2)\\ +%\reicr G1$<$- Plotdata( "Powersum( CL, x)", "x") + +%\tab{FouriercoeffL(関数F, 周期T, é …æ•°N )}\\ +%\tab{}Fã®Né …ã¾ã§ã®ãƒ•ãƒ¼ãƒªã‚¨ä¿‚数リスト(list)を求ã‚る.\\ +%\chuu list( å®šæ•°é …, 余弦係数(行), æ£å¼¦ä¿‚数(行), 周期 ) ã®å½¢\\ +%\chuu Fouriersumã§ç”¨ã„る. + +%\tab{Fouriersum( フーリエ係数リスト, 変数値)}\\ +%\tab{}フーリエ級数ã®å€¤ã‚’è¿”ã™ï¼Žï¼ˆPlotdataã§ä½¿ç”¨ï¼‰\\ +%\rei deff( "Out$<$- Fun(x)", "Out$<$- abs(x)")\\ +%\reicr CL$<$- FouriercoeffL(Fun, 2, 30)\\ +%\reicr G2$<$- Plotdata("Fouriersum(CL, x)", "x", "N$<$- 300" ) + +\subsection{空間} + +\tab{Partcrv3(\,S1,\ S2, PD\,)}曲線PD上ã®ãƒ‘ラメータ値S1,S2を両端ã¨ã™ã‚‹PDã‚’ä½œæˆ + +\tab{Rotate3pt(点, V1, V2\{, C\})}\\ +\tab{}回転移動ã—ãŸç‚¹ã‚’è¿”ã™ï¼ˆRotate3dataå‚照) + +\tab{Rotate3ptc(点, 軸, 角度\{, C\})}\\ +\tab{}回転移動ã—ãŸç‚¹ã‚’è¿”ã™ï¼ˆRotate3dataå‚照) + + +\tab{Parapt(\,点\,)\ ,\ \ Perspt(\,点\,)}\\ +\tab{}空間ã®ç‚¹ã‚’投影ã—ãŸç‚¹ã‚’返㙠+ +\tab{Zparapt(\,点\,)\ ,\ \ Zperspt(\,点\,)}\\ +\tab{}投影ã—ãŸå¹³é¢ã‚’$X,\ Y$ã¨ã—ãŸã¨ãã®$Z$座標 + +\tab{Invparapt(\,P,\ PD3d\,)\ ,\ \ Invperspt(\,P,\ PD3d\,)}\\ +\tab{}PD3dを投影ã—ãŸPD上ã®ç‚¹Pã«å¯¾å¿œã™ã‚‹PD3d上ã®ç‚¹\\ +\chuu Pd3dãŒç·šåˆ†ã®ã¨ãã¯ï¼Œå»¶é•·ç·šä¸Šã®ç‚¹ã§ã‚‚よã„. + +\tab{Invperspt(\,s,\ PD2d,\ PD3d\,)\ ,\ \ Invperspt(\,s,\ PD2d,\ PD3d\,)}\\ +\tab{}PD2d上ã®ãƒ‘ラメータ値sã®ç‚¹ã«å¯¾å¿œã™ã‚‹PD3d上ã®ç‚¹ + +\tab{Cancoordpers(\,投影座標\,)}平行投影ã§ã€ŒæŠ•å½±åº§æ¨™ã€ã§è¡¨ã•ã‚Œã‚‹ç‚¹ã®æ¨™æº–座標 + +\tab{Cancoordpers(\,投影座標\,)}一点投影ã§ã€ŒæŠ•å½±åº§æ¨™ã€ã§è¡¨ã•ã‚Œã‚‹ç‚¹ã®æ¨™æº–座標 + +\tab{Viewfrom(Vec, 曲線3D \{, éžè¡¨ç¤ºã‚ªãƒ—ション\})}\\ +\tab{}一時的ã«Vecæ–¹å‘ã‹ã‚‰ã¿ãŸå°„影データを返ã™\\ +\rei Out1$<$- Viewfrom(c(0,0,1), G1) (表示ã—ã¦ãƒ‡ãƒ¼ã‚¿ã‚’作æˆï¼‰\\ +\rei Out1$<$- Viewfrom(c(0,0,1), G1, 0) (データã®ã¿ã‚’作æˆï¼‰ + + +%\section{曲é¢ã®æç”»} + +%% +%\subsection{関数データリストã®å®šç¾©} + +%\begin{enumerate}[\hspace*{1zw}(1)] +%\item +%$z$<$- f(x,\ y)\ \ (a \leqq x \leqq b,\ c \leqq y \leqq d)$ã®ã¨ã\vspace{1mm}\\ +%\hspace*{4zw}list(\,関数,\ xã®ç¯„囲,\ yã®ç¯„囲\,)\\ +%\hspace*{-6zw}\reicr \verb|Fd$<$- list("z$<$- x^2+y","x$<$- c(-1,2)","y$<$- c(-2,1)")|\\ +%\hspace*{-4zw}\chuu 変数å x, y ãŒé–¢æ•°åã«ã‚ã‚‹æ–‡å—ã¨é‡ãªã‚‰ãªã„よã†ã«ã™ã‚‹ï¼Ž + +%\item +%$z$<$- f(x,\ y)\ ,x$<$- x(u,\ v),\ ,y$<$- y(u,\ v)\ \ (a \leqq u \leqq b,\ c \leqq v \leqq d)$ã®ã¨ã\vspace{1mm}\\ +%\hspace*{4zw}list(\,関数z,\ 関数x,\ 関数y,\ uã®ç¯„囲,\ vã®ç¯„囲\{,\ 境界ã®æŒ‡å®š\}\,)\\ +%\hspace*{-6zw}\rei \verb|Fd$<$- list("z$<$- sin(2*sqrt(abs(x^2+y^2))","x$<$- R*cos(T)",|\\ +%\hspace*{-6zw}\reicr \verb| "y$<$- R*sin(T)","R$<$- c(0,4)","T$<$- c(0,2*%pi)","e")|\\ +%\hspace*{-4zw}\chuu "e"ã¯$r$<$- 1,\ 0\leqq t\leqq 2\pi$ã§å®šã¾ã‚‹é–‰æ›²ç·šã‚’表ã™ï¼Ž\\ +%\hspace*{-4zw}\chuu sqrtã®ä¸ã¯absã‚’ã¤ã‘る(計算誤差ã®ãŸã‚). + +%\item +%$x$<$- x(u,\ v),\ y$<$- y(u,\ v),\ z$<$- z(u,\ v)\ (a \leqq u \leqq b,\ c \leqq v \leqq d)$ã®ã¨ã\\ +%\hspace*{4zw}list(\,"p",\ 関数x\ 関数y,\ 関数z,\ Uã®ç¯„囲,\ Vã®ç¯„囲\{,\ 境界ã®æŒ‡å®š\}\,)\\ +%\hspace*{-6zw}\rei \verb|Fd$<$- list("p","x$<$- sin(U)*cos(V)","y$<$- sin(U)*sin(V)",|\\ +%\hspace*{-6zw}\reicr \verb| "z$<$- cos(U)","U$<$- c(0,%pi)","V$<$- c(0,2*%pi),"")| + +%\end{enumerate} + +%\subsection{曲é¢ã®ãƒ¯ã‚¤ãƒ¤ãƒ¼ãƒ•ãƒ¬ãƒ¼ãƒ 図} + +%\tab{Sf3data(FD,\ \{,曲線ã®ç‚¹ã®å€‹æ•°(リスト)\{,横方å‘ã®åˆ†å‰²æ•°,縦方å‘ã®åˆ†å‰²æ•°\}\})}\\ +%\tab{}曲é¢ãƒ‡ãƒ¼ã‚¿ãƒªã‚¹ãƒˆFDã®ï¼“次元ワイヤフレームデータを生æˆ\\ +%\chuu デフォルトã¯ã€€ç‚¹ã®å€‹æ•°ï¼c(50,\ 50),分割数$<$- 25\\ +%\chuu 点ã®å€‹æ•°ã‚’æ•°nã§æŒ‡å®šã—ãŸã¨ãã¯ï¼’æ–¹å‘ã¨ã‚‚nã«ãªã‚‹\\ +%\rei Out$<$- Sf3data(Fd) + +%\tab{Sfparadata(〃)}FDã®ãƒ¯ã‚¤ãƒ¤ãƒ•ãƒ¬ãƒ¼ãƒ データを平行投影ã—ãŸï¼’次元データ + +%\tab{Sfpersdata(〃)}FDã®ãƒ¯ã‚¤ãƒ¤ãƒ•ãƒ¬ãƒ¼ãƒ データを平行投影ã—ãŸï¼’次元データ + +%\subsection{輪éƒç·šãƒ‡ãƒ¼ã‚¿ã®ä½œæˆ} + +%\tab{Sfbdparadata(関数データ\{,å„æ–¹å‘ã®åˆ†å‰²æ•°,é™ç•Œå€¤1,é™ç•Œå€¤2\})}\\ +%\tab{Sfbdpersdata(関数データ\{,å„æ–¹å‘ã®åˆ†å‰²æ•°,é™ç•Œå€¤1,é™ç•Œå€¤2\})} + +%\noindent +%\hspace*{3zw}\Ltab{10zw}{å„æ–¹å‘ã®åˆ†å‰²æ•°}曲線,陰関数ã®ã‚°ãƒªãƒƒãƒ‰æ•°\\ +%\hspace*{3zw}\Ltab{14zw}{}デフォルトã¯50\\ +%\hspace*{3zw}\Ltab{10zw}{}リストã‹å˜ç‹¬ã®æ•°ã§ä¸Žãˆã‚‹\\ +%\hspace*{3zw}\Ltab{10zw}{é™ç•Œå€¤1}åŒä¸€ç‚¹ã¨è¦‹ãªã™é™ç•Œï¼ˆãƒ‡ãƒ•ã‚©ãƒ«ãƒˆã¯0.05)\\ +%\hspace*{3zw}\Ltab{10zw}{é™ç•Œå€¤2}交点ã®ä½™è£•å¹…(デフォルトã¯0.2) + +% +%\rei \verb|Out1$<$- Sfbdparadata(Fd,c(50,50))|\\ +%\reicr \verb| Windisp(Projpara(Out1))| + +%\noindent +%\chuu 曲é¢ä¸Šã®ï¼“次元データã¨ã—ã¦å¾—られる.\\ +%\chuu BorderHiddenData()㧠+%é™°ç·šã®ï¼“次元データãŒå¾—られる.\\ +%\chuu CuspData()ã§è¼ªéƒç·šã®ï¼“次元データ㌠+%得られる.\\ +%\chuu CuspPt()ã§cusp点ã®ï¼’次元データ㌠+%得られる.\\ +%\chuu BorderPt()ã§è¼ªéƒç·šã®äº¤ç‚¹ã®ï¼’次元データ㌠+%得られる. + +%\subsection{ワイヤーデータã®ä½œæˆ} + +%\tab{Wireparadata(輪éƒã®ãƒªã‚¹ãƒˆ,関数データ,横ã®ç·šæ•°,縦ã®ç·šæ•°\{.分割数, é™ç•Œå€¤1.é™ç•Œå€¤2\})} + +%\tab{Wirepersdata(輪éƒ,関数データ \{ ,横ã®ç·šæ•°,縦ã®ç·šæ•°\{.分割数, é™ç•Œå€¤1.é™ç•Œå€¤2\}\})} + +%\noindent +%\hspace*{3zw}\Ltab{10zw}{輪éƒ}Sfbdpersdata( Sfbdparadata ) ã§ä½œæˆã—ãŸãƒ‡ãƒ¼ã‚¿\\ +%\hspace*{3zw}\Ltab{10zw}{ç·š}個数ã‹å€¤ã®ãƒªã‚¹ãƒˆã§ä¸Žãˆã‚‹\\ +%\hspace*{3zw}\Ltab{10zw}{é™ç•Œå€¤1}デフォルトã¯0.05\\ +%\hspace*{3zw}\Ltab{10zw}{é™ç•Œå€¤2}デフォルトã¯0.2 + +% +%\rei \verb|Out2$<$- Wireparadata(Out1,Fd1,5,5)|\\ +%\reicr \verb| Windisp(Projpara(Out1,Out2))|\\ +%\chuu WireHiddenData()㧠+%é™°ç·šã®ï¼“次元データãŒå¾—られる.\\ +%\chuu WirePt()ã§è¼ªéƒç·šã¨ã®äº¤ç‚¹ã®ï¼’次元データ㌠+%得られる. + +%\subsection{曲é¢ã¨æ›²ç·š} + +%\subsubsection{パラメータ平é¢ä¸Šã®æ›²ç·š} + +%\tab{Crvonsfparadata(å¹³é¢ä¸Šã®æ›²ç·š2Dデータ,輪éƒ,関数データ \{,オプション\})} + +%\tab{Crvonsfpersdata(å¹³é¢ä¸Šã®æ›²ç·š2Dデータ,輪éƒ,関数データ \{,オプション\})} + +%\rei \verb|Fg$<$- Parametricplot("c(T, 0)","T$<$- c(0,2*\%pi)")|\\ +%\reicr \verb| Out4$<$- Crvonsfpersdata(Fg,Out1,Fd)|\\ +%\chuu CrvonsfHiddenData()ã§é™°ç·šã®ï¼“次元データãŒå¾—られる. + +% +%\subsubsection{曲é¢ä¸Šã®æ›²ç·š} + +%\tab{Crv3onsfparadata(曲é¢ä¸Šã®æ›²ç·š3Dデータ,輪éƒ,関数データ\{,オプション\})} + +%\tab{Crv3onsfpersdata(曲é¢ä¸Šã®æ›²ç·š3Dデータ,輪éƒ,関数データ \{,オプション\})} + +%\rei \verb|Out5$<$- Crv3onsfparadata(Fg,Out1,Fd)|\\ +%\chuu Crv3onsfHiddenData()ã§é™°ç·šã®ï¼“次元データãŒå¾—られる. + +%\subsubsection{曲é¢å¤–ã®æ›²ç·š} + +%\tab{Crvsfparadata(曲線3D,輪éƒ,関数データ\{,オプション\})} + +%\tab{Crvsfpersdata(曲線3D,輪éƒ,関数データ \{,オプション\})} + +%\rei \verb|G2$<$- Xyzax3data("x$<$- c(-5,5)","y$<$- c(-5,5)",...|\\ +%\reicr \verb| "z$<$- c(-5,5)")|\\ +%\reicr \verb| Out2$<$- Crvsfparadata(G2,Out1,Fd)|\\ +%\chuu CrvsfHiddenData()ã§é™°ç·šã®ï¼“次元データãŒå¾—られる.\\ +%\chuu 曲線ã¨æ›²é¢ãŒäº¤ã‚らãªã„ã¨ãã¯ï¼Œå¼•æ•°ã®æœ€å¾Œã« $-1$ã‚’ã¤ã‘る. + +%\subsubsection{ãã®ä»–ã®ã‚³ãƒžãƒ³ãƒ‰} + +%\tab{Intersectcrvsf(曲線3D, 関数データ\{,分割数\{,é™ç•Œå€¤\}\})}\\ +%\tab{}曲線ã¨æ›²é¢ã¨ã®äº¤ç‚¹ï¼ˆMD)を求ã‚る. + +%\subsection{曲é¢ã®åˆ‡æ–} + +%%\tab{polarcoordx()}極座標$r,\ t$ã®$x$座標を与ãˆã‚‹é–¢æ•°ã‚’返㙠+ +%%\tab{polarcoordx()}極座標$r,\ t$ã®$x$座標を与ãˆã‚‹é–¢æ•°ã‚’返㙠+ +%\tab{Sfcutdata(曲é¢ãƒ‡ãƒ¼ã‚¿, 切æ–é¢ãƒ‡ãƒ¼ã‚¿ \{, 分割数\} )}\\ +%\tab{}曲é¢ã‚’切ã£ãŸã¨ãã®åˆ‡ã‚Šå£ã®3dデータを作æˆ\\ +%\chuu 切æ–é¢ã¯ï¼Œ$x,\ y,\ z$ãªã©ã®æ–¹ç¨‹å¼ã§ä¸Žãˆã‚‹ï¼Ž\\ +%\hspace*{15zw}(平é¢ã®å ´åˆã¯ï¼ŒPhcutdataã®ã‚ˆã†ã«ä¸Žãˆã¦ã‚‚よã„)\\ +%\rei \verb|Fd$<$- c("p","R*cos(T)","R*sin(T)","2*(1-R)",|\\ +%\reicr \verb| "R$<$- c(0,1)","T$<$- c(0,2*%pi)","se")|\\ +%\reicr \verb|Out$<$- Sfcutdata(Fd,"x^2+(z-1/2)^2$<$- 1/4")| + +%\tab{Sfcutoffparadata(関数データ, 切æ–é¢, ç¬¦å· \{ , 分割数\} )} + +%\tab{Sfcutoffrawparadata(関数データ, 切æ–é¢, ç¬¦å· \{ , 分割数\} )} + +%\tab{Sfcutoffpersdata(関数データ, 切æ–é¢, ç¬¦å· \{ , 分割数\} )} + +%\tab{Sfcutoffrawpersdata(関数データ, 切æ–é¢, ç¬¦å· \{ , 分割数\} )} + +%\tab{}切æ–é¢ã§åˆ‡ã£ãŸæ›²é¢ã‚’リッジライン法ã§è¿”ã™ + +% +%\rei \verb|Fd$<$- list("z$<$- 2*(1-sqrt(abs(x^2+y^2)))","x$<$- R*cos(T)",|\\ +%\reicr \verb| "y$<$- R*sin(T)","R$<$- c(0,1)","T$<$- c(0,2*%pi)","e")|\\ +%\reicr \verb| Out$<$- Sfcutoffparadata(Fd,"z$<$- 1+2*x","-")| + + +\section{ãã®ä»–} + +%\tab{bksl("コマンド}\,)}コマンドã«$\backslash$ã‚’ã¤ã‘ãŸæ–‡å—列を作る\\ +%\rei str$<$- bksl("sin x}\,) + +\tab{Readtextdata(ファイルå,\{開始ä½ç½®\{,オプション\}\})}\\ +\tab{}% +\begin{mini}{30zw} +ファイルã‹ã‚‰ã‚³ãƒ³ãƒžï¼Œã‚¹ãƒšãƒ¼ã‚¹ï¼Œã‚¿ãƒ–区切りã®ãƒ†ã‚ストをèªè¾¼ã¿ï¼Œ +データ行列を返ã™\vspace{2mm} +\end{mini}\\ +\chuu オプション:\\ +\hspace*{18zw}"R=èªã¿è¾¼ã¿è¡Œæ•°" (デフォルトã¯ã™ã¹ã¦ï¼‰\\ +\hspace*{18zw}"C=èªã¿è¾¼ã¿åˆ—æ•°"(デフォルトã¯ã™ã¹ã¦ï¼‰ \\ +\hspace*{18zw}"Cna=è«–ç†å€¤" 1行を列åã«ã™ã‚‹ã‹ï¼ˆãƒ‡ãƒ•ã‚©ãƒ«ãƒˆTRUE) \\ +\hspace*{18zw}"Rna=è«–ç†å€¤" 1列を行åã«ã™ã‚‹ã‹ï¼ˆãƒ‡ãƒ•ã‚©ãƒ«ãƒˆFALSE) \\ +\rei DL$<$- Readtextdata("dt.csv",\ c(2,\ 1),\ "R=1000",\ "C=2") + +\tab{Writetextdata(データフレーム,ファイルå)}\\ +\tab{}データフレームを .csvファイルã«æ›¸ã出ã™\\ +\chuu 列åã¯ï¼‘行目ã«ãŠã,NAã¯blankã«ã™ã‚‹\\ +\rei Writetextdata(Df, "ex.csv") + +\tab{Tonumeric(\,æ–‡å—列ã‹ã‚‰ãªã‚‹ãƒ‡ãƒ¼ã‚¿è¡Œåˆ— \{, 開始ä½ç½® \{ , 終了ä½ç½®\}\}\.)}\\ +\tab{}行列ã®æˆåˆ†ã‚’数値ã«å¤‰æ›ï¼ˆå¤‰æ›ã§ãã‚‹è¡Œã¨åˆ—ã‹ã‚‰ãªã‚‹éƒ¨åˆ†è¡Œåˆ—)\\ +\rei Dn$<$- Tonumeric(DL) + +%\tab{Newlength(\,)}% +%\begin{mini}{30zw} +%è·é›¢å¤‰æ•° \verb+ \Width, \Height, \Depth +を定義ã™ã‚‹\TeX コマンドを画é¢ã«è¡¨ç¤º +%\end{mini} +%\\ +%\rei \prompt newlength()+\\ +%\hspace*{6zw}\reicr \verb+\newlength{\Width}+\\% +%\hspace*{6zw}\reicr \verb+\newlength{\Height}+\\% +%\hspace*{6zw}\reicr \verb+\newlength{\Depth}+% + +%\tab{Mawarikomi("å¹…"\,)}% +%\begin{mini}{28zw} +%emathã®mawarikomi環境ã®ã‚³ãƒ¼ãƒ‰ã‚’生æˆè¡¨ç¤º +%\end{mini}\\ +%\rei Mawarikomi("5cm"\,) + +\subsection{作表} + +\tab{Tabledata(\{大ãã•,\}\ 縦線相対幅,\ 横線相対高ã•\,)}\\% +\tab{}表ã®ãƒ‡ãƒ¼ã‚¿listã‚’è¿”ã™\\ +\tab{}\hspace{-2zw}戻り値:PD,縦線添å—,横線添å—ï¼Œæž ç¸¦PDï¼Œæž æ¨ªPDï¼Œå¤–æž PD\\ +\hspace*{10zw}大ãã•ã¯æ¬¡ã®ãƒ™ã‚¯ãƒˆãƒ«\\ +\hspace*{12zw}横,縦(,\ å·¦margin,\ å³margin(,\ 上margin,\ 下margin))\\ +\chuu 横(縦)を -1 ã¨ã—ãŸã¨ãã¯ï¼Œç¸¦ï¼ˆæ¨ªï¼‰ç·šã®ãƒ‡ãƒ¼ã‚¿ã‹ã‚‰\\ +\hspace*{16.3zw}自動的ã«è¨ˆç®—ã•ã‚Œã‚‹ï¼ˆãƒ‡ãƒ•ã‚©ãƒ«ãƒˆï¼‰\\ +\hspace*{10zw}縦線相対ä½ç½®ã¯å·¦ã®ç½«ç·šã‹ã‚‰ã®å¹…list(縦方å‘ã®å§‹ç‚¹ï¼Œçµ‚点)\\ +\hspace*{10zw}横線相対ä½ç½®ã¯ä¸Šã®ç½«ç·šã‹ã‚‰ã®å¹…list(横方å‘ã®å§‹ç‚¹ï¼Œçµ‚点)\\ +\chuu æç”»é ˜åŸŸã¯è‡ªå‹•çš„ã«è¨å®šã•ã‚Œã‚‹ + +\rei Tmp1$<$- list(20, 30,list(30,0,10), list(0,15,20), 40)\\ +\reicr Tmp2$<$- list(15)\\ +\reicr Out$<$- Tabledata(c(150,20),Tmp1,Tmp)\\ +\reicr Tb$<$- Tabledata(Tmp1,Tmp2) + +\tab{Dividetable(表データ)}æž ï¼Œç¸¦ç½«ç·šï¼Œæ¨ªç½«ç·šã‚’æˆåˆ†ã¨ã™ã‚‹ãƒªã‚¹ãƒˆã‚’è¿”ã™\\ +\rei G$<$- Dividetable(Tb)(G[[1]],G[[2]],G[[3]]ãŒæž ,縦,横) + +\tab{Partframe(表データ,\ 開始ä½ç½®ï¼Œçµ‚了ä½ç½®)}\\ +\tab{}æž ã®ä¸€éƒ¨ã®PD\\ +\chuu ä½ç½®ã¯ãã‚Œãžã‚Œï¼Œc(列番å·,\ 行番å·)\\ +\chuu 開始ä½ç½®ã‹ã‚‰çµ‚了ä½ç½®ã¾ã§ã®å時計回りã®PD\\ +\rei G$<$- Parframe(Tb,\ c(4,1),c(1,2)) + +\tab{Findcell(表データ,\ 列番å·,\ 行番å·\,)}\\% +\tab{}セルã®æƒ…å ±list(ä¸å¿ƒï¼Œæ¨ªå¹…ï¼ï¼’,縦幅ï¼ï¼’)を返ã™\\ +\chuu 番å·ã¯å·¦ä¸Šã®ä½ç½®\\ +\rei Out$<$- Findcell(Out,2,1)\\ +\chuu 番å·ãŒãƒ™ã‚¯ãƒˆãƒ«ã®ã¨ãã¯ï¼Œãã®ç¯„囲ã®ã‚»ãƒ«\\ +\rei Out$<$- Findcell(Out,c(2,4),1)\\ +\chuu 番å·ãŒãƒ™ã‚¯ãƒˆãƒ«ã®ã¨ãã¯ï¼Œãã®ç¯„囲ã®ã‚»ãƒ«\\ +\rei Out$<$- Findcell(Out,c(2,4),1)\\ +\tab{Findcell(表データ,\ 左セル,\{ å³ã‚»ãƒ«\} )}\\ +\rei Out$<$- Findcell(Out,"A2") + +\tab{Diagcelldata(表データ,列番å·ï¼Œè¡Œç•ªå·)}\\ +\tab{}セルã®å¯¾è§’ç·šPDã®ãƒªã‚¹ãƒˆã‚’返㙠+ +\tab{Putcell(表データ,\ 列番å·,\ 行番å·,\ ä½ç½®,\ æ–‡å—データ)}\\% +\tab{}セルã«æ–‡å—列を入れるコードを出力\\ +\chuu ä½ç½®ã¯"c", "r", "l", "u", "d", "b" \\ +\chuu u : up , d : down, b : baseline (微å°ç§»å‹•é‡ã‚’ä»˜åŠ ã§ãる)\\ +\rei Putcell(Out,2,1,"c","221")\\ +\rei Putcell(Out,"B3","l","\$ab\$") + +\tab{Putrow(表データ,\ 行番å·,\ æ–‡å—データã®åˆ—)}\\% +\tab{}1行ã«é †ã«æ–‡å—を書ã入れる\\ +\rei Putrow(TbL, 2, "a", "b", "c" )\\ +\chuu デフォルトä½ç½®ã¯ "c" ãれ以外ã®ã¨ãã¯list内ã§æŒ‡å®š\\ +\chuu 複数列ã«ã‚ãŸã‚‹ã¨ãã¯ï¼Œåˆ—æ•°ã‚’ list 内ã§æŒ‡å®š\\ +\rei Putrow(TbL, 2, list("r","a"), list(2, "b"), "c")\\ +\hspace*{20zw}(rã®ä½ç½®ã«a,2列ã¨ã£ã¦bã‚’ãŠã) + +\tab{Putrowexpr(表データ,\ 行番å·,\ æ–‡å—ä½ç½®,\ æ–‡å—データã®åˆ—)}\\% +\tab{}1行ã«é †ã«æ•°å¼ã‚’書ã入れる + +\tab{PutcoL(表データ,\ 列番å·ï¼ˆåå‰ï¼‰ï¼ˆ,\ æ–‡å—データã®åˆ—)}\\% +\tab{}1列ã«é †ã«æ–‡å—を書ã入れる\\ +\rei PutcoL(TbL, "C", "a", "b", "c" ) + +\tab{PutcoLexpr(表データ,\ 列番å·(åå‰),\ æ–‡å—ä½ç½®ï¼Œæ–‡å—データã®åˆ—}\\% +\tab{}1列ã«é †ã«æ•°å¼ã‚’書ã入れる + +\tab{Putrowstr(表データ,\ 行番å·ï¼Œæ–‡å—ä½ç½®ï¼Œæ–‡å—列}\\% +\tab{}1行ã«æ–‡å—列ã®æ–‡å—を1ã¤ãšã¤æ›¸ã入れる\\ +\rei Putrowstr(TbL, 1, "c", "xyz" ) + +\tab{PutcoL(表データ,\ 列番å·ï¼ˆåå‰ï¼‰ï¼Œæ–‡å—ä½ç½®ï¼Œæ–‡å—列}\\% +\tab{}1列ã«æ–‡å—列ã®æ–‡å—を1ã¤ãšã¤æ›¸ã入れる + +\subsection{\TeX ã®ã‚³ãƒžãƒ³ãƒ‰æ›¸ã出ã—(メタコマンド)} + +\tab{Texcom("コマンド"\,)}\TeX コマンドã®ã‚³ãƒ¼ãƒ‰ã‚’書ã出ã™\\ +\rei Texcom("$\backslash\backslash$begin\{minipage\}\{3cm\}")\\ +\chuu "newline" ã®ã¨ã,空白行を挿入 + + +\tab{Openphr(\,ユーザーコマンドå\,),Closephr(\,)}\\ +\tab{}$\backslash$defã®ã‚³ãƒžãƒ³ãƒ‰å®šç¾©ã‚’始ã‚ã‚‹\\ +\rei Openphr("$\backslash\backslash$p"\,)\\ +\reicr Texcom("$\backslash\backslash$begin\{array\}\{cc\}"\,)\\ +\reicr Texcom("5 \& 3$\backslash\backslash\backslash\backslash$"\,)\\ +\reicr Texcom("8 \& 7"\,)\\ +\reicr Texcom("$\backslash$end\{array\}\$"\,)\\ +\reicr Closephr(\,) + +\tab{Openpar(\,ユーザーコマンドå,幅\ \{,\ ä½ç½® \}\,), Closepar(\,)}\\ +\tab{}minipage環境をå«ã‚€$\backslash$def コマンド定義を始ã‚ã‚‹\\ +\chuu ä½ç½®ã®ãƒ‡ãƒ•ã‚©ãƒ«ãƒˆã¯ "c"\\ +\rei Openpar("$\backslash\backslash$s","5cm"\,)\\ +\reicr Texcom("$\backslash\backslash$input\{rei\}"\,)\\ +\reicr Closepar(\,)\\ +\reicr Letter(\,c([2,3),"se","$\backslash\backslash$s"\,) + +\tab{Texletter(\ 点(listå½¢å¼), æ–¹å‘, æ–‡å—列 ,・・・)}\\ +\tab{}点ã®ä½ç½®ã®ã€Œæ–¹å‘ã€ã«æ–‡å—列をã‹ã(複数å¯ï¼‰\\ +\rei Texletter(\,list(4,"\#1"),"n","æ–‡å—")\\ +\chuu ä½ç½®ã¯"n", s", "e", "w", "ne", "nw", "se", "sw", "c"\\ +\chuu 点ã®ä½ç½®ã¯ãƒªã‚¹ãƒˆå½¢å¼ã§ï¼Œ\TeX ã®å½¢å¼ã§æ¸¡ã™ã“ã¨ãŒã§ãる. + +\tab{Texnewctr(番å·ã¾ãŸã¯ç•ªå·ã®ãƒ™ã‚¯ãƒˆãƒ«)}\\ +\tab{}\ketpic ã§ä½¿ã†ã‚«ã‚¦ãƒ³ã‚¿(ketpicctra,...)を定義 + +\tab{Texctr(番å·ã¾ãŸã¯ã‚«ã‚¦ãƒ³ã‚¿å)}\\ +\tab{}番å·ã®ã‚«ã‚¦ãƒ³ã‚¿åã¾ãŸã¯ã‚«ã‚¦ãƒ³ã‚¿åを返㙠+ +\tab{Texthectr(番å·)} \verb|\|the+カウンタåã®æ–‡å—列を返㙠+ +\tab{Texvalctr(番å·)} \verb|\|value\{カウンタå\}ã®æ–‡å—列を返㙠+ +\tab{Texsetctr(番å·ï¼Œæ–‡å—列)}カウンタã«å€¤ã‚’セットã™ã‚‹\TeX コマンド列を出力\\ +\rei Texsetctr(2, "1*2/3");\\ +\rei Texsetctr(2, "(-\verb|#|1)+2"); + +\tab{Texletter(ä½ç½®ï¼ˆlist),方å‘,文å—列)}\\ +\tab{}ä½ç½®listã§è¡¨ã•ã‚Œã‚‹ç‚¹ã«æ–‡å—列をã‹ã\TeX コマンド列を出力\\ +\rei Texletter(list(10,paste("-",Texvctr(2),sep="")),"ne","\verb|\|content");\\ +\rei Texletter(list(0, "\verb|#|1"), "c", "A"); + +\tab{Texnewcmd(コマンドå,引数ã®å€‹æ•°ï¼Œã‚ªãƒ—ション値)}\\ +\tab{}\verb|\|newcommand を始ã‚ã‚‹\TeX コマンドを出力 + +\tab{Texrenewcmd(コマンドå,引数ã®å€‹æ•°ï¼Œã‚ªãƒ—ション値)}\\ +\tab{}\verb|\|renewcommand を始ã‚ã‚‹\TeX コマンドを出力 + +\tab{Texend()}\TeX ã®ã‚³ãƒžãƒ³ãƒ‰å®šç¾©ã‚’終ã‚ã‚‹\TeX コマンドを出力 + +\tab{Texfor(カウンタ番å·ï¼ŒåˆæœŸå€¤ï¼Œçµ‚了値)}\\ +\tab{}\TeX ã®ãƒ«ãƒ¼ãƒ—æ§‹é€ ã‚’å§‹ã‚る.\\ +\chuu åˆæœŸå€¤ï¼Œçµ‚了値ã¯æ–‡å—列ã§ä¸Žãˆã‚‹ï¼Ž\\ +\rei Texfor(1,"1","\verb|#|1"); + +\tab{Texendfor(カウンタ番å·)}\TeX ã®ãƒ«ãƒ¼ãƒ—æ§‹é€ ã‚’çµ‚ãˆã‚‹ï¼Ž\\ +\rei Texendfor(1); + +\tab{Texforinit()}\TeX ã®ãƒ«ãƒ¼ãƒ—æ§‹é€ ã‚’åˆæœŸåŒ– + +\tab{Texif(数値æ¡ä»¶\ \{ ,1 \})}\TeX ã®ifæ§‹é€ ã‚’å§‹ã‚る.(ifnumã¾ãŸã¯ ifdim)\\ +\chuu æ¡ä»¶ã¯æ–‡å—列ã§ä¸Žãˆã‚‹ï¼Ž\\ +\chuu 1ã‚’è¿½åŠ ã—ãŸã¨ãã¯ã€€ifdim\\ +\rei Texif("Texctr(1)\verb|<#|2"); + +\tab{Texelse()}\TeX ã®elseブãƒãƒƒã‚¯ï¼Ž + +\tab{Texendif()}\TeX ã®ifæ§‹é€ ã‚’çµ‚ãˆã‚‹ï¼Ž +%\tab{Setmark()}マークシート用マークã®ã‚³ãƒ¼ãƒ‰ã‚’出力 + +%\tab{Putdashmark(表データ,\ 列番å·,\ 行番å·,æ–‡å—列or番å·)}\\ +%\rei Putdashmark(Out,2,1,0:9); + +%\tab{Putcirmark(表データ,\ 列番å·,\ 行番å·)} + +%\tab{Putrecmark(表データ,\ 列番å·,\ 行番å·} + +\subsection{カラーè¨å®š} + +\tab{Setcolor(色 \{, 濃ã•\})}色をè¨å®š\\ +\chuu colorパッケージ必è¦\\ +\hspace*{2zw} 色ã¯ï¼Œæ¬¡ã®æ–‡å—列ã¾ãŸã¯ [c,m,y,k]ã®ãƒ™ã‚¯ãƒˆãƒ«\\ +\hspace*{2.5zw}"greenyellow"[0.15,0,0.69,0], +"yellow"[0,0,1,0], +"goldenrod"[0,0.1,0.84,0], +"dandelion"[0,0.29,0.84,0]\\ +\hspace*{2.5zw}"apricot"[0,0.32,0.52,0], +"peach"[0,0.5,0.7,0], +"melon"[0,0.46,0.5,0], +"yelloworange"[0,0.42,1,0]\\ +\hspace*{2.5zw}""orange"[0,0.61,0.87,0], +"burntorange"[0,0.51,1,0], +"bittersweet"[0,0.75,1,0.24],\\ +\hspace*{2.5zw}"redorange"[0,0.77,0.87,0]\\ +\hspace*{2.5zw}"mahogany"[0,0.85,0.87,0.35], +"maroon"[0,0.87,0.68,0.32], +"brickred"[0,0.89,0.94,0.28], +"red"[0,1,1,0]\\ +\hspace*{2.5zw}"orangered"[0,1,0.5,0], +"rubinered"[0,1,0.13,0], +"wildstrawberry"[0,0.96,0.39,0],\\ +\hspace*{2.5zw}"salmon"[0,0.53,0.38,0]\\ +\hspace*{2.5zw}"carnationpink"[0,0.63,0,0], +"magenta"[0,1,0,0], +"violetred"[0,0.81,0,0], +"rhodamine"[0,0.82,0,0]\\ +\hspace*{2.5zw}"mulberry"[0.34,0.9,0,0.02], +"redviolet"[0.07,0.9,0,0.34], +"fuchsia"[0.47,0.91,0,0.08],\\ +\hspace*{2.5zw}"lavender"[0,0.48,0,0]\\ +\hspace*{2.5zw}"thistle"[0.12,0.59,0,0], +"orchid"[0.32,0.64,0,0], +"darkorchid"[0.4,0.8,0.2,0], +"purple"[0.45,0.86,0,0]\\ +\hspace*{2.5zw}"plum"[0.5,1,0,0], +"violet"[0.79,0.88,0,0], +"royalpurple"[0.75,0.9,0,0], +"blueviolet"[0.86,0.91,0,0.04]\\ +\hspace*{2.5zw}"periwinkle"[0.57,0.55,0,0], +"cadetblue"[0.62,0.57,0.23,0], +"cornflowerblue"[0.65,0.13,0,0],\\ +\hspace*{2.5zw}"midnightblue"[0.98,0.13,0,0.43]\\ +\hspace*{2.5zw}"navyblue"[0.94,0.54,0,0], +"royalblue"[1,0.5,0,0], +"blue"[1,1,0,0], +"cerulean"[0.94,0.11,0,0]\\ +\hspace*{2.5zw}"cyan"[1,0,0,0], +"processblue"[0.96,0,0,0], +"skyblue"[0.62,0,0.12,0], +"turquoise"[0.85,0,0.2,0]\\ +\hspace*{2.5zw}"tealblue"[0.86,0,0.34,0.02], +"aquamarine"[0.82,0,0.3,0], +"bluegreen"[0.85,0,0.33,0],\\ +\hspace*{2.5zw}"emerald"[1,0,0.5,0]\\ +\hspace*{2.5zw}"junglegreen"[0.99,0,0.52,0], +"seagreen"[0.69,0,0.5,0], +"green"[1,0,1,0], +"forestgreen"[0.91,0,0.88,0.12]\\ +\hspace*{2.5zw}"pinegreen"[0.92,0,0.59,0.25], +"limegreen"[0.5,0,1,0], +"yellowgreen"[0.44,0,0.74,0],\\ +\hspace*{2.5zw}"springgreen"[0.26,0,0.76,0]\\ +\hspace*{2.5zw}"olivegreen"[0.64,0,0.95,0.4], +"rawsienna"[0,0.72,1,0.45], +"sepia"[0,0.83,1,0.7], +"brown"[0,0.81,1,0.6]\\ +\hspace*{2.5zw}"tan"[0.14,0.42,0.56,0], +"gray"[0,0,0,0.5], +"black"[0,0,0,1], +"white"[0,0,0,0] + +\end{document} + +\newpage + +\section{内部コマンド} + +\tab{CalcHeight} + +\tab{CalcWidth} + +\tab{Dataindex} + +\tab{Gaiseki} + +\tab{InWindow} + +\tab{Kouten} + +\tab{KoutenList} + +\tab{Koutenseg} + +\tab{Kyoukai} + +\tab{MakeBowdata} + +\tab{MakeCurves} + +\tab{Makehasen} + +\tab{Makeshasen} + +\tab{MeetWindow} + +\tab{Mixmake} + +\tab{Naigai} + +\tab{Naiseki} + +\tab{Vecnagasa(A, B)}$<$- norm(B-A) + +\tab{Makevaltable} + +\tab{Connectseg} + + + +\end{document} diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/refketlayer20161211J.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/refketlayer20161211J.tex new file mode 100644 index 00000000000..630e19f2a9f --- /dev/null +++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/refketlayer20161211J.tex @@ -0,0 +1,273 @@ +\documentclass[a4j]{jarticle} + +\usepackage{ketpic,ketlayer} + +\usepack + +\input{refstyle} + +\setmargin{20}{20}{15}{25} + +\begin{document} + +\begin{flushright} +2016.12.11 +\end{flushright} + + +\begin{center} +{\bf \huge \ketpic\ style ---ketlayer---}\vspace{3mm}\\ +\end{center} + +\section{スタイルå} +\tab{ketlayer.sty,\ ketlayer2e.sty(pict2eå¿…è¦)} + +\section{概è¦} +追記(コメント,メモ,挿絵)用ã®ç’°å¢ƒï¼Œãƒžã‚¯ãƒã‚’定義.\\ +\hspace*{5zw}ketpic.sty ã‚‚èªã‚“ã§ãŠã.\\ +\hspace*{5zw}graphicx,\ color ã‚‚å¿…è¦ + +\section{環境} + +\tab{\bs begin\br{layer}[方眼ã®æ°´å¹³ç§»å‹•]\br{W}\br{H}---\bs end\br{layer}}\\ +\tab{}メモを書ããŸã‚ã®picture環境を定義ã—ã¦ï¼Œæ–¹çœ¼ã‚’æã.\\ +\chuu 方眼ã®æ°´å¹³ç§»å‹•ã®ãƒ‡ãƒ•ã‚©ãƒ«ãƒˆã¯ 0\\ +\chuu $\mathrm{H}=0$ã®ã¨ãã¯ï¼Œæ–¹çœ¼ã‚’æã‹ãªã„.\\ +\chuu $\mathrm{H}<0$ã®ã¨ãã¯ï¼Œä¸Šå´ã«æ–¹çœ¼ã‚’æã.\\ +\rei \bs begin\br{layer}\br{170}\br{30} + +\vspace{0.5\baselineskip} + +\begin{layerv}{0}{30} + +\end{layerv} + +\vspace{7\baselineskip} + +%\tab{\bs begin\br{layerv}[方眼ã®æ°´å¹³ç§»å‹•]\br{縦方å‘ã®ç§»å‹•}\br{H}---\bs end\br{layerv}}\\ +%\tab{}縦方å‘ã®ç§»å‹•ã‚’ã—,水平方å‘ã¯ç´™å¹…ã‹ã‚‰è‡ªå‹•è¨ˆç®—.縦方å‘ã¯ä¸‹ãŒï¼‹\\ +%\chuu 該当部分ã®ä¸‹ã«ãŠã,$-$ã§æŒ‡å®šã™ã‚‹ã®ãŒæ™®é€š + +\tab{\bs begin\br{layerg}[1 or 0]\br{C}---\bs end\br{layerg}} + +\tab{}C(図ãªã©ï¼‰ã®ä¸‹ã«ãŠã,Cã®ç¸¦å¹…ã ã‘方眼をãŠã\\ +\chuu オプション引数(def=1):1ã®ã¨ã方眼をæã,ï¼ã®ã¨ãæã‹ãªã„ + +\section{シンボル} + + +\begin{layer}{170}{0} + +\putnotec{30}{35}{\cirscoremark{0.8}} + +\putnotec{60}{35}{\scirscoremark{0.8}} + +\putnotec{90}{35}{\triscoremark{0.8}} + +\putnotec{120}{35}{\crosscoremark{0.8}} + +\end{layer} + + +%\tab[6cm]{\bs circlemark[thickness]\br{size}}円\\ +%\chuu サイズã¯ç›´å¾„10mmã‹ã‚‰ã®å€çŽ‡ã§ä¸Žãˆã‚‹ï¼Ž\\ +%\chuu thicknessã®ãƒ‡ãƒ•ã‚©ãƒ«ãƒˆã¯ã€€8 ( milli inch) + +%\tab[6cm]{\bs remarkmark[thickness]\br{size}}注æ„マーク + +\tab[6cm]{\bs cirscoremark[thickness]\br{size}}手ãŒãã®2é‡ä¸¸ + +\tab[6cm]{\bs scirscoremark[thickness]\br{size}}手ãŒãã®å˜ä¸¸ + +\tab[6cm]{\bs triscoremark[thickness]\br{size}}手ãŒãã®ä¸‰è§’ + +\tab[6cm]{\bs crosscoremark[thickness]\br{size}}手ãŒãã®ãƒãƒ„ + +\vspace{6\baselineskip} + +\section{マクãƒä¸€è¦§} + +\begin{layer}{160}{0} + +\putnotee{120}{20}{\fbox{$\dfrac{1}{2}$}} + +\end{layer} + +\tab[14zw]{\bs putnotec\br{x}\br{y}\br{Char}}(x,\ y)ã‚’ä¸å¿ƒã«Charを書ã + +\tab[14zw]{\bs putnotee\br{x}\br{y}\br{Char}}(x,\ y)ã®å³ã«Charを書ã + +\tab[14zw]{\bs putnotew\br{x}\br{y}\br{Char}}(x,\ y)ã®å·¦ã«Charを書ã + +\tab[14zw]{\bs putnotes\br{x}\br{y}\br{Char}}(x,\ y)ã®ä¸‹ã«Charを書ã + +\tab[14zw]{\bs putnoten\br{x}\br{y}\br{Char}}(x,\ y)ã®ä¸Šã«Charを書ã + +\tab{\bs putnotene\br{x}\br{y}\br{Char}\ ,\ +\bs putnotenw\br{x}\br{y}\br{Char}} + +\tab{\bs putnotese\br{x}\br{y}\br{Char}\ ,\ +\bs putnotesw\br{x}\br{y}\br{Char}} + +\noindent +\rei putnotee\br{20}\br{5}\br{\bs fbox\br{\$\bs dfrac\br{1}\br{2}\$}} + +\mbox{} + +\begin{layer}{160}{0} + +\lineseg[16]{135}{25}{30}{25} + +\arrowlineseg[16]{130}{50}{10}{45} + +\end{layer} + +\tab{\bs lineseg[thickness]\br{$x$}\br{$y$}\br{$L$}\br{$\theta$}}\\ +\tab{}点$(x, \ y)$ã‹ã‚‰é•·ã•$L$ã®ç·šåˆ†ã‚’$\theta^{\circ}$ +æ–¹å‘ã«æã(å˜ä½ã¯mm)\\ +\rei \bs lineseg[16]\br{130}\br{20}\br{30}\br{25}\\ +\chuu thicknessã®å˜ä½ã¯ã€€milli inch(デフォルト=12)\\ +\chuu $x,\ y,\ \theta$ ã¯å°æ•°ã§ã‚‚よã„. + +\tab{\bs dashlineseg[thickness]\br{$x$}\br{$y$}\br{$L$}\br{$\theta$}}\\ +\tab{}点$(x, \ y)$ã‹ã‚‰é•·ã•$L$ã®ç ´ç·šã‚’$\theta^{\circ}$ +æ–¹å‘ã«æã(å˜ä½ã¯mm) + +\tab{\bs arrowlineseg[thickness]\br{$x$}\br{$y$}\br{$L$}\br{$\theta$}}\\ +\tab{}矢å°ã‚’æã(éƒã¯å§‹ç‚¹ã«æã)\\ +\rei \bs arrowlineseg[16]\br{30}\br{20}\br{10}\br{45} + +\tab[13zw]{\bs arrowhead[size]\br{$x$}\br{$y$}\br{$\theta$}}éƒã ã‘ã‚’æã + +\mbox{} + +%\tab{\bs boxline[ç·šå¹…]\br{x}\br{y}\br{W}\br{H}}\\ +%\tab{}(x,\ y)ã®å³ä¸Š(ne)ã«å¹…W,高ã•Hã®çŸ©å½¢ã‚’æã.\\ +%\chuu ç·šå¹…ã®ãƒ‡ãƒ•ã‚©ãƒ«ãƒˆã¯8 (milli inch)\\ +%\chuu n,\ s ãªã©8æ–¹å‘+c ã‚’ä»˜åŠ ã™ã‚Œã°ï¼Œãã‚Œãžã‚Œã®æ–¹å‘ã«æã\\ +%\rei \bs boxlinen\br{30}\br{20}\br{50}\br{5} + +\tab{\bs boxframe+dir[thickness]\br{x}\br{y}\br{W}\br{H}\br{æ–‡å—}}\\ +\tab{}(x,\ y)ã®diræ–¹å‘ã«å¹…W,高ã•Hã®çŸ©å½¢ã‚’æã,ä¸ã«æ–‡å—を入れる\\ +\chuu dir=n,\ s,\ e,\ w,\ ne,\ nw,\ se,\ sw,\ c \\ +\rei \bs boxframen\br{30}\br{20}\br{50}\br{5}\br{} + +%\tab{\bs dashboxline[ç·šå¹…]\br{x}\br{y}\br{W}\br{H}}\\ +%\tab{}(x,\ y)ã®å³ä¸Š(ne)ã«å¹…W,高ã•Hã®ç‚¹ç·šã®çŸ©å½¢ã‚’æã.\\ +%\chuu ç·šå¹…ã®ãƒ‡ãƒ•ã‚©ãƒ«ãƒˆã¯8 (milli inch)\\ +%\chuu 8æ–¹å‘+c ã«ã¤ã„ã¦ã¯ï¼Œ\bs boxlineã¨åŒã˜ + +\tab{\bs dashboxframe+dir[thickness]\br{x}\br{y}\br{W}\br{H}\br{æ–‡å—}}\\ +\tab{}(x,\ y)ã®diræ–¹å‘ã«ã‚®ã‚¶ã®çŸ©å½¢ã‚’æã,ä¸ã«æ–‡å—を入れる\\ +\chuu dir=n,\ s,\ e,\ w,\ ne,\ nw,\ se,\ sw,\ c + +\tab{\bs jaggyboxframe+dir[thickness]\br{x}\br{y}\br{W}\br{H}\br{æ–‡å—}}\\ +\tab{}(x,\ y)ã®diræ–¹å‘ã«ã‚®ã‚¶å››è§’形をæã,ä¸ã«æ–‡å—を入れる\\ +\chuu dir=n,\ s,\ e,\ w,\ ne,\ nw,\ se,\ sw,\ c + +\tab{\bs dialboxframe+dir[thickness]\br{x}\br{y}\br{W}\br{H}\br{æ–‡å—}}\\ +\tab{}(x,\ y)ã®diræ–¹å‘ã«ãƒ€ã‚¤ãƒ¤åž‹ã‹ã‚‰ãªã‚‹çŸ©å½¢ã‚’æã,ä¸ã«æ–‡å—を入れる\\ +\chuu dir=n,\ s,\ e,\ w,\ ne,\ nw,\ se,\ sw,\ c + +\tab{\bs eraser+dir[æž ]\br{$x$}\br{$y$}\br{W}\br{H}}\\ +\tab{}$(x,\ y)$ã®diræ–¹å‘ã®é•·æ–¹å½¢ã®å†…部を消ã™\\ +\chuu æž =0 ã¨ã™ã‚‹ã¨æž ç·šã‚’æã‹ãªã„(デフォルト㯠1)\\ +\chuu dir=n,\ s,\ e,\ w,\ ne,\ nw,\ se,\ sw,\ c + +\tab{\bs shadebox+dir[æž æç”»]\br{$x$}\br{$y$}\br{W}\br{H}\br{D}\br{色}}\\ +\tab{}$(x,\ y)$ã®diræ–¹å‘ã«å¹…W,高ã•Hã®çŸ©å½¢ã®å†…部を濃ã•Dã§å¡—ã‚‹\\ +\chuu æž æç”»ã®ãƒ‡ãƒ•ã‚©ãƒ«ãƒˆã¯ 0ï¼ˆæž ç·šã‚’æã‹ãªã„)\\ +\chuu dir=n,\ s,\ e,\ w,\ ne,\ nw,\ se,\ sw,\ c + +\vspace{\baselineskip} + +\begin{layer}{160}{0} + +\boxframese[24]{10}{0}{30}{16}{boxframe} +\dashboxframese{50}{0}{30}{16}{dashboxframe} +\jaggyboxframese{90}{0}{30}{16}{jaggyboxframe} +\diaboxframese{130}{0}{30}{16}{diaboxframe} +\shadeboxse{10}{0}{30}{16}{0.5}{green} + +\end{layer} + +\newpage + +\tab{\bs popframe[thickness]\br{x}\br{y}\br{Ds}\br{色s}\br{Dp}\br{色p}\br{色f}\br{æ–‡å—}}\\ +\tab{}(x,\ y)ã®å³ä¸‹(se)ã«æ–‡å—入り矩形をæã,濃ã•Dsã®é™°ã‚’ã¤ã‘ã‚‹\\ +\chuu 色p : 背景色,色f : æž ã®è‰²\\ +\chuu 矩形ã®å¤§ãã•ã¯æ–‡å—ã‹ã‚‰è‡ªå‹•è¨ˆç®—ã™ã‚‹\\ +\chuu ç·šã®å¤ªã•(thickness)ã®ãƒ‡ãƒ•ã‚©ãƒ«ãƒˆã¯8\\ +\chuu æ–‡å—列ã®å¹…$\leqq 200mm$,高ã•$\leqq 100mm$\\ +\rei \bs popframe\br{0}\br{5}\br{0.5}\br{black}\br{1}\br{yellow}\br{yellow}\br{タイトル} + +\tab{\bs colorframe[thickness]\br{x}\br{y}\br{Dp}\br{色p}\br{色f}\br{æ–‡å—}}\\ +\tab{}(x,\ y)ã®å³ä¸‹(se)ã«æ–‡å—入り矩形をæã,背景を色pã§å¡—ã‚‹\\ +\chuu 矩形ã®å¤§ãã•ã¯æ–‡å—ã‹ã‚‰è‡ªå‹•è¨ˆç®—ã™ã‚‹\\ +\chuu ç·šã®å¤ªã•(thickness)ã®ãƒ‡ãƒ•ã‚©ãƒ«ãƒˆã¯8\\ +\chuu æ–‡å—列ã®å¹…$\leqq 200$mm,高ã•$\leqq 100$mm\\ +\rei \bs colorframe\br{100}\br{5}\br{0.3}\br{green}\br{blue}\br{æ–‡å—列} + +\begin{layer}{160}{0} +\popframe{60}{5}{0.3}{black}{1}{yellow}{yellow}{\Large タイトル} +\colorframe{100}{5}{0.3}{green}{blue}{\Large\bf 強調文å—} +\end{layer} + +\vspace{15mm} + +\begin{layer}{160}{0} + +\hjaggyline{130}{10}{25} + +\vjaggyline{140}{20}{15} + +\end{layer} + +%\vspace{6\baselineskip} + +\tab{\bs hjaggyline[thickness]\br{x}\br{y}\br{W}}\\ +\tab{}(x,\ y)ã‹ã‚‰å·¦ã«å¹…Wã®ã‚®ã‚¶ç·šã‚’æã.\\ +\chuu bã‚’ä»˜åŠ ã™ã‚‹ã¨ï¼Œç·šã®å‡ºæ–¹ãŒé€†ã«ãªã‚‹ï¼Ž + +\tab{\bs vjaggyline[thickness]\br{x}\br{y}\br{W}}\\ +\tab{}(x,\ y)ã‹ã‚‰ä¸‹ã«å¹…Wã®ã‚®ã‚¶ç·šã‚’æã.\\ +\chuu bã‚’ä»˜åŠ ã™ã‚‹ã¨ï¼Œç·šã®å‡ºæ–¹ãŒé€†ã«ãªã‚‹ï¼Ž + +\tab{\bs circleline[thickness]\br{x}\br{y}\br{size}}\\ +\tab{}(x,\ y)ã‚’ä¸å¿ƒã« +円をæã + +\tab{\bs ballonr[thickness]\br{x}\br{y}\br{size}\br{Char}}\\ +\tab{}(x,\ y)ã‹ã‚‰å³ä¸Šã«å¹ã出ã—ã¨Charã‚’æã + +\tab{\bs ballonl[thickness]\br{x}\br{y}\br{size}\br{Char}}\\ +\tab{}(x,\ y)ã‹ã‚‰å·¦ä¸Šã«å¹ã出ã—ã¨Charã‚’æã + + +\tab[14zw]{\bs lefthand[thickness]\br{x}\br{y}}(x,\ y)ã«æŒ‡å…ˆã‚’æã + +\tab[14zw]{\bs righthand[thickness]\br{x}\br{y}}(x,\ y)ã«æŒ‡å…ˆã‚’æã + +\tab[16zw]{\bs leftdownhand[thickness]\br{x}\br{y}}(x,\ y)ã«æŒ‡å…ˆã‚’æã + +\tab[16zw]{\bs rightdownhand[thickness]\br{x}\br{y}}(x,\ y)ã«æŒ‡å…ˆã‚’æã + +\begin{layer}{180}{0} + +\ballonr{30}{40}{1}{Example1} + +\ballonl{90}{40}{1}{Example2} + +\lefthand{120}{30} + +\righthand{140}{30} + +\leftdownhand{120}{25} + +\rightdownhand{140}{25} + +\end{layer} + + + +\end{document} diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/refketpic161211J.pdf b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/refketpic161211J.pdf Binary files differnew file mode 100644 index 00000000000..ba47aa36835 --- /dev/null +++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/refketpic161211J.pdf diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/refketpic161211J.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/refketpic161211J.tex new file mode 100644 index 00000000000..c7755b1340b --- /dev/null +++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/refketpic161211J.tex @@ -0,0 +1,90 @@ +\documentclass[a4j]{jarticle} +%ã‚ã„ㆠ+ +\usepackage{ketpic,ketlayer} +\usepack + +\input{/tools/reference/refstyle} + +\setmargin{20}{20}{15}{25} + +\begin{document} + +\begin{flushright} +2016.12.11 +\end{flushright} + + +\begin{center} +{\bf \huge \ketpic\ --ketpic--}\vspace{3mm}\\ +\end{center} + +\section{スタイルå} +\tab{ketpic.sty,\ ketpic2e.sty(pict2eå¿…è¦)} + +\section{概è¦} + +\bs Width,\ \bs Height,\ \bs Depthを定義ã™ã‚‹ï¼Ž + +ã¾ãŸï¼Œ10個ã®ä¸€æ™‚カウンタ ketpicctra,\ $\cdots$,\ ketpicctrj を定義ã™ã‚‹ï¼Ž + +\section{マクãƒä¸€è¦§} + +\subsection{プリアンブル用} + +%\tab{\bs usepack}amsmath, amssymb,graphicx,colorã‚’èªã¿è¾¼ã‚€ + +\tab{\bs setmargin\br{left}\br{right}\br{top}\br{bottom}}\\ +\tab{}マージンè¨å®šï¼ˆå˜ä½ã¯mm)\\ +\rei \bs setmargin\br{20}\br{20}\br{15}\br{25} + +\subsection{本文用} + +\tab{\bs ketpic}ãƒã‚´ \ketpic + +\tab{\bs Ltab\br{W}\br{S}}Wã®å¹…を確ä¿ã—ã¦å·¦å¯„ã›ã§Sを書ã\\ +\rei \bs Ltab\br{5cm}\br{abc}xyz + +\tab{\bs Rtab\br{W}\br{S}}Wã®å¹…を確ä¿ã—ã¦å³å¯„ã›ã§Sを書ã + +\tab{\bs Ctab\br{W}\br{S}}Wã®å¹…を確ä¿ã—ã¦ä¸å¤®å¯„ã›ã§Sを書ã + +%\tab{\bs vbackward\br{C}}æ–‡å—Cã®é«˜ã•åˆ†ã ã‘上ã«æˆ»ã‚‹\\ +%\rei \bs vbackward\br{\bs includegraphics\br{ex.eps}} + +%\tab{\bs vforward\br{C}}æ–‡å—Cã®é«˜ã•åˆ†ã ã‘下ã«é€²ã‚€ + +\tab{\bs ketcalcwidth[0]\br{C}}æ–‡å—Cã®å¹…ã‚’å˜ä½é•·ã§è¨ˆã£ã¦ã‚«ã‚¦ãƒ³ã‚¿ï¼‘ã«è¿”ã™\\ +\chuu オプションãŒï¼‘ã®ã¨ãã¯ï¼Œå€¤ã‚’表示 + +\tab{\bs ketcalcheight[0]\br{C}}æ–‡å—Cã®é«˜ã•ã‚’å˜ä½é•·ã§è¨ˆã£ã¦ã‚’カウンタ1ã«è¿”ã™\\ +\chuu オプションãŒï¼‘ã®ã¨ãã¯ï¼Œå€¤ã‚’表示 + +\tab{\bs ketcalcdepth[0]\br{C}}æ–‡å—Cã®æ·±ã•ã‚’å˜ä½é•·ã§è¨ˆã£ã¦ã‚«ã‚¦ãƒ³ã‚¿ï¼‘ã«è¿”ã™\\ +\chuu オプションãŒï¼‘ã®ã¨ãã¯ï¼Œå€¤ã‚’表示 + +\tab{\bs ketcalcwh\br{C}}æ–‡å—Cã®æ¨ªå¹…ã¨ç¸¦å¹…ã‚’mmå˜ä½ã§è¿”ã™\\ +\chuu \{横幅\}\{縦幅\}ã®å½¢å¼ã§ + +\subsection{シンボル} + +\begin{layer}[120]{120}{0} +\putnotee{5}{5}{\dangerbendmark} +\putnotee{10}{10}{\cautionmark} +\putnotee{15}{15}{\circlemark{1}} +\putnotee{20}{25}{\circleshade{1}{0.5}} +\putnotee{5}{30}{\NEarrow,\ \NELarrow,\ \NERarrow} +\end{layer} + +\tab[6cm]{\bs dangerbendmark[size]}ブルãƒã‚ã®ã€Œå±é™ºãªæ›²ãŒã‚Šè§’〠+ +\tab[6cm]{\bs cautionmark[size]}注æ„書ãã®ãƒžãƒ¼ã‚¯ + +\tab[6cm]{\bs circlemark[thickness]\br{size}} 円\\ +\chuu サイズ1= 4mm(直径) + +\tab[6cm]{\bs circleshade[thickness]\br{size}\br{density}}ä¸å¡—ã‚Šã®å†† + +\tab[6cm]{\bs NEarrow[å€çŽ‡],\bs NELarrow[å€çŽ‡]ãªã©} å¢—æ¸›çŸ¢å° + +\end{document} diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/refketslide161211.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/refketslide161211.tex new file mode 100644 index 00000000000..31990d96dab --- /dev/null +++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/refketslide161211.tex @@ -0,0 +1,72 @@ +\documentclass[a4j]{jarticle} + +\usepackage{/tools/ketpic,/tools/ketlayer} +\usepack + +\input{/tools/reference/refstyle} + +\setmargin{20}{20}{15}{25} + +\begin{document} + +\begin{flushright} +2016.12.11 +\end{flushright} + + +\begin{center} +{\bf \huge \ketpic スタイル\ --ketslide--}\vspace{3mm}\\ +\end{center} + +\section{スタイルå} +\tab{ketslide.sty} + +\section{概è¦} + +プレゼン用スライドを作æˆã™ã‚‹ï¼Ž\\ +\hspace*{2zw}\bs documentclass[landscape,10pt]\{jarticle ã¾ãŸã¯ article\}\\ +\hspace*{2zw}スライドã®å¤§ãã•ã¯ã€€ç´„130 $\times$ 85 (mm) + + +\section{マクãƒä¸€è¦§} + +\subsection{プリアンブル用} + +\tab{\bs ketmarginJ}jarticleã®ã¨ãã®ãƒžãƒ¼ã‚¸ãƒ³è¨å®š + +\tab{\bs ketmarginE}articleã®ã¨ãã®ãƒžãƒ¼ã‚¸ãƒ³è¨å®š + +\tab{\bs ketslideinit}パラメータ指定マクãƒã¸ã®default値è¨å®š + +\noindent +\hspace*{2zw}\tab{\bs ketcletter}タイトルã®æ–‡å—色(black\\ +\hspace*{2zw}\tab{\bs ketcbox}ボックス内ã®è‰²ï¼ˆwhite\\ +\hspace*{2zw}\tab{\bs ketdbox}ボックス内ã®è‰²ã®æ¿ƒã•ï¼ˆ1)\\ +\hspace*{2zw}\tab{\bs ketcframe}æž ã®è‰²ï¼ˆblack)\\ +\hspace*{2zw}\tab{\bs ketcshadow}é™°ã®è‰²ï¼ˆblack)\\ +\hspace*{2zw}\tab{\bs ketdshadow}é™°ã®è‰²ã®æ¿ƒã•ï¼ˆ0.5)\\ +\hspace*{2zw}\tab{\bs slidetitlex}タイトルã®æ¨ªä½ç½®ï¼ˆ6)\\ +%\hspace*{2zw}\tab{\bs slidetitley}タイトルã®ç¸¦ä½ç½®ï¼ˆ7)\\ +\hspace*{2zw}\tab{\bs slidetitlesize}タイトルã®æ–‡å—サイズ(2)\\ +\hspace*{2zw}\tab{\bs mketcletter}メインタイトルã®æ–‡å—色(black)\\ +\hspace*{2zw}\tab{\bs mketcbox}メインタイトルã®ãƒœãƒƒã‚¯ã‚¹å†…ã®è‰²ï¼ˆwhite)\\ +\hspace*{2zw}\tab{\bs mketdbox}メインタイトルã®ãƒœãƒƒã‚¯ã‚¹å†…ã®è‰²ã®æ¿ƒã•ï¼ˆ1)\\ +\hspace*{2zw}\tab{\bs mketcframe}メインタイトルã®æž ã®è‰²ï¼ˆwhite)\\ +\hspace*{2zw}\tab{\bs mslidetitlex}メインタイトルã®æ¨ªä½ç½®ï¼ˆ62)\\ +%\hspace*{2zw}\tab{\bs mslidetitley}メインタイトルã®ç«‹ã¦ä½ç½®ï¼ˆ35)\\ +\hspace*{2zw}\tab{\bs mslidetitlesize}メインタイトルã®æ–‡å—サイズ(3)\\ +\hspace{6zw}注) ã“れらã®ãƒ‘ラメータã¯æœ¬æ–‡ä¸ã§ \bs def を使ã£ã¦å¤‰æ›´ã§ãる. + + +\subsection{本文用} + +\tab[15zw]{\bs newslide[縦ä½ç½®]\{タイトル\}}æ–°ã—ã„スライドを始ã‚る.(縦ä½ç½®ã®default=6) + +\tab[15zw]{\bs sameslide}[縦ä½ç½®]åŒã˜ãƒšãƒ¼ã‚¸ã¨ã—ã¦ï¼Œè¿½åŠ ã™ã‚‹ï¼Ž + +\tab[15zw]{\bs mainslide[縦ä½ç½®]\{タイトル\}}æ–°ã—ã„メインスライドを始ã‚る.(縦ä½ç½®ã®default=35) + +\tab[15zw]{\bs mainsameslide[縦ä½ç½®]}åŒã˜ãƒšãƒ¼ã‚¸ã¨ã—ã¦ï¼Œè¿½åŠ ã™ã‚‹ï¼Ž + + +\end{document}
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b/Master/texmf-dist/scripts/ketcindy/data/fontF/qcr.txt @@ -0,0 +1,23 @@ +qcrn// +start// +[[2,0]]// +end// +qcr1k// +start// +[[0,0.1212],[0,4.5347],[0,0.1212]]// +end// +qcr1c// +start// +[[2.5616,0.1904],[2.527,4.5347]]// +end// +start// +[[-2.527,4.4828],[-2.527,0.1731]]// +end// +qcr2k// +start// +[[0,1],[2.1808,-0.1904]]// +end// +qcr2c// +start// +[[0.9866,0.9692],[1.402,-0.1731]]// +end//// diff --git a/Master/texmf-dist/scripts/ketcindy/data/fontF/rcr.cdy b/Master/texmf-dist/scripts/ketcindy/data/fontF/rcr.cdy Binary files differnew file mode 100644 index 00000000000..e5a02dd9f07 --- /dev/null +++ b/Master/texmf-dist/scripts/ketcindy/data/fontF/rcr.cdy diff --git a/Master/texmf-dist/scripts/ketcindy/data/fontF/rcr.txt b/Master/texmf-dist/scripts/ketcindy/data/fontF/rcr.txt new file mode 100644 index 00000000000..f668aba45a4 --- /dev/null +++ b/Master/texmf-dist/scripts/ketcindy/data/fontF/rcr.txt @@ -0,0 +1,34 @@ +rcrn// +start// +[[3,0]]// +end// +rcr1k// +start// +[[-1.5231,4.4135],[-1.5231,0]]// +end// +rcr1c// +start// +[[-1.5231,2.9424],[-1.5231,1.4712]]// +end// +rcr2k// +start// +[[-1.7827,4.4135],[0.6231,4.4135],[0.5885,2.3366],[-1.5231,2.3366]]// +end// +rcr2c// +start// +[[-0.9808,4.4135],[-0.1788,4.4135]]// +end// +start// +[[2.0943,4.4135],[2.025,2.3539]]// +end// +start// +[[-0.1038,2.3366],[-0.75,2.3366]]// +end// +rcr3k// +start// +[[-0.3981,2.3366],[1.8866,-0]]// +end// +rcr3c// +start// +[[1.2808,2.3193],[1.0731,1.2462]]// +end//// diff --git a/Master/texmf-dist/scripts/ketcindy/data/fontF/tsi.cdy b/Master/texmf-dist/scripts/ketcindy/data/fontF/tsi.cdy Binary files differnew file mode 100644 index 00000000000..2fa6231c70e --- /dev/null +++ b/Master/texmf-dist/scripts/ketcindy/data/fontF/tsi.cdy diff --git a/Master/texmf-dist/scripts/ketcindy/data/fontF/tsi.txt b/Master/texmf-dist/scripts/ketcindy/data/fontF/tsi.txt new file mode 100644 index 00000000000..6a51e1904b5 --- /dev/null +++ b/Master/texmf-dist/scripts/ketcindy/data/fontF/tsi.txt @@ -0,0 +1,23 @@ +tsin// +start// +[[2,0]]// +end// +tsi1k// +start// +[[-0.9341,2.8483],[0.9494,2.879]]// +end// +tsi1c// +start// +[[-0.3063,2.8585],[0.3216,2.8687]]// +end// +tsi2k// +start// +[[0.3828,4.2112],[-0.49,0.6125],[0.8422,0.9801]]// +end// +tsi2c// +start// +[[0.0919,3.0117],[-0.1991,1.8121]]// +end// +start// +[[-0.7044,-0.2144],[0.4594,-0.1072]]// +end//// diff --git a/Master/texmf-dist/scripts/ketcindy/data/fontF/xsi.cdy b/Master/texmf-dist/scripts/ketcindy/data/fontF/xsi.cdy Binary files differnew file mode 100644 index 00000000000..428c783d420 --- /dev/null +++ b/Master/texmf-dist/scripts/ketcindy/data/fontF/xsi.cdy diff --git a/Master/texmf-dist/scripts/ketcindy/data/fontF/xsi.txt b/Master/texmf-dist/scripts/ketcindy/data/fontF/xsi.txt new file mode 100644 index 00000000000..f16d04f0cb1 --- /dev/null +++ b/Master/texmf-dist/scripts/ketcindy/data/fontF/xsi.txt @@ -0,0 +1,26 @@ +xsin// +start// +[[2,0]]// +end// +xsi1k// +start// +[[-1.2134,2.2311],[0.027,1.3889],[1.2521,0.6232]]// +end// +xsi1c// +start// +[[-0.9837,3.0734],[0.6855,3.4869]]// +end// +start// +[[-0.6468,-0.5866],[0.9765,-0.1118]]// +end// +xsi2k// +start// +[[1.6043,2.5527],[0.027,1.3889],[-1.5503,0.3935]]// +end// +xsi2c// +start// +[[1.4818,3.1193],[0.4864,3.2265]]// +end// +start// +[[-0.4324,-0.3722],[-1.489,-0.2037]]// +end//// diff --git a/Master/texmf-dist/scripts/ketcindy/data/fontF/ysi.cdy b/Master/texmf-dist/scripts/ketcindy/data/fontF/ysi.cdy Binary files differnew file mode 100644 index 00000000000..ff075329b35 --- /dev/null +++ b/Master/texmf-dist/scripts/ketcindy/data/fontF/ysi.cdy diff --git a/Master/texmf-dist/scripts/ketcindy/data/fontF/ysi.txt b/Master/texmf-dist/scripts/ketcindy/data/fontF/ysi.txt new file mode 100644 index 00000000000..83f6b3298e3 --- /dev/null +++ b/Master/texmf-dist/scripts/ketcindy/data/fontF/ysi.txt @@ -0,0 +1,26 @@ +ysin// +start// +[[2,0]]// +end// +ysi1k// +start// +[[-1.3052,2.1239],[-0.5549,1.4042],[1.0684,1.3889]]// +end// +ysi1c// +start// +[[-0.8458,3.2418],[0.2567,3.2572]]// +end// +start// +[[-1.198,-0.1272],[0.4099,-0.8316]]// +end// +ysi2k// +start// +[[1.4665,2.8284],[0.7008,-0.0506],[-1.244,-0.8316]]// +end// +ysi2c// +start// +[[1.1756,1.7462],[0.9152,0.7406]]// +end// +start// +[[0.2721,-1.6738],[-1.1981,-1.5666]]// +end//// diff --git a/Master/texmf-dist/scripts/ketcindy/data/fontF/zsi.cdy b/Master/texmf-dist/scripts/ketcindy/data/fontF/zsi.cdy Binary files differnew file mode 100644 index 00000000000..3326d6add7d --- /dev/null +++ b/Master/texmf-dist/scripts/ketcindy/data/fontF/zsi.cdy diff --git a/Master/texmf-dist/scripts/ketcindy/data/fontF/zsi.txt b/Master/texmf-dist/scripts/ketcindy/data/fontF/zsi.txt new file mode 100644 index 00000000000..f62925cd75d --- /dev/null +++ b/Master/texmf-dist/scripts/ketcindy/data/fontF/zsi.txt @@ -0,0 +1,28 @@ +zsin// +start// +[[3,0]]// +end// +zsi1k// +start// +[[-0.8152,2.2618],[1.1756,2.6752]]// +end// +zsi1c// +start// +[[0.1802,3.7319],[0.2874,1.7564]]// +end// +zsi2k// +start// +[[1.3287,2.8896],[-1.3818,-0.02]]// +end// +zsi2c// +start// +[[0.5783,1.7564],[-0.7846,1.052]]// +end// +zsi3k// +start// +[[-1.1215,0.3629],[1.0684,0.8835]]// +end// +zsi3c// +start// +[[-0.5549,0.9754],[0.2108,-0.9388]]// +end//// diff --git a/Master/texmf-dist/scripts/ketcindy/data/polyhedrons_obj/READMEj(kobayashi-suzuki).txt b/Master/texmf-dist/scripts/ketcindy/data/polyhedrons_obj/READMEj(kobayashi-suzuki).txt new file mode 100644 index 00000000000..897ac82f260 --- /dev/null +++ b/Master/texmf-dist/scripts/ketcindy/data/polyhedrons_obj/READMEj(kobayashi-suzuki).txt @@ -0,0 +1,116 @@ +®–Ê“Ê‘½–Ê‘Ìi‚y-‘½–Ê‘Ìj‚ÌÀ•Wƒf[ƒ^‚ɂ‚¢‚Ä 1994”N6ŒŽ22“ú
+
+‚PD‚Í‚¶‚ß‚É
+
+ ‚RŽŸŒ³ƒ†[ƒNƒŠƒbƒh‹óŠÔ‚Ì‘½–Ê‘Ì‚Ì’†‚ÅCg•Ó‚Ì’·‚³‚Ì“™‚µ‚¢³‘½ŠpŒ`‚ð–Ê
+‚É‚à‚“ʑ½ŠpŒ`h‚ÍC®–Ê“Ê‘½–Ê‘Ì(regular-faced convex polyhedron)‚ÆŒÄ
+‚΂ê‚Ä‚¢‚Ü‚·D®–Ê“Ê‘½–Ê‘Ì‚ÍC³‘½–Ê‘ÌC€³‘½–Ê‘ÌC³‘½Šp’ŒC³‘½Šp”½
+’Œ‚ðœ‚‚Æ 92 Ží—Þ‚µ‚©‘¶Ý‚µ‚Ü‚¹‚ñD‚±‚Ì‚±‚Æ‚ðØ–¾‚µ‚½Victor A.
+Zalgaller(1) ‚É‚¿‚È‚ñ‚ÅC®–Ê“Ê‘½–Ê‘Ì‚Í‚y-‘½–Ê‘Ì(Z-polyhedron)‚Æ‚àŒÄ‚Î
+‚ê‚Ä‚¢‚Ü‚·D
+
+ ®–Ê“Ê‘½–Ê‘Ì‚Ì–ÍŒ^‚ÍCŽ†‚È‚Ç‚ÅŠÈ’P‚Éì‚邱‚Æ‚ª‚Å‚«‚Ü‚·‚ªC’¸“_‚ÌÀ•W
+‚ðŒvŽZ‚·‚邱‚Æ‚ª“‚C‚±‚ê‚܂ŃRƒ“ƒsƒ…[ƒ^‚É‚æ‚é•\Ž¦‚Í¢“ï‚Å‚µ‚½DŽ„
+‚½‚¿‚ÍC‘½–ʑ̂̃Oƒ‰ƒt•\Œ»‚ð—˜—p‚µ‚½ŒvŽZƒAƒ‹ƒSƒŠƒYƒ€‚ðlˆÄ‚µC’Tõ‚Æ”
+’lŒvŽZ‚É‚æ‚Á‚Ä‚·‚ׂĂ̮–Ê“Ê‘½ŠpŒ`‚Ì’¸“_‚̈ʒuÀ•W‚ð‹‚ß‚Ü‚µ‚½(2)D‚±
+‚ÌÀ•Wƒf[ƒ^‚Í‚³‚Ü‚´‚Ü‚È—p“r‚É—˜—p‚Å‚«‚é‚ÆŽv‚í‚ê‚Ü‚·‚Ì‚ÅC‚±‚±‚ÉŒöŠJ‚¢
+‚½‚µ‚Ü‚·D‚Ç‚¤‚¼‚¨–𗧂ĉº‚³‚¢D
+
+ À•Wƒf[ƒ^‚ÍŽ©—R‚É”z•z‚µ‚Ä‚¢‚½‚¾‚¢‚Ä‚©‚Ü‚¢‚Ü‚¹‚ñD‚½‚¾‚µCƒf[ƒ^‚É‚Í
+•K‚¸‚±‚̃hƒLƒ…ƒƒ“ƒg‚ð“Y‚¦‚ĉº‚³‚¢D‚È‚¨CÀ•Wƒf[ƒ^‚Ì—˜—p‚ÉŠÖ‚µ‚Ä”¶
+‚µ‚½ˆêØ‚ÌáŠQ‚ɂ‚¢‚ÄÓ”C‚𕉂¢‚©‚Ë‚Ü‚·‚Ì‚ÅCŒä—¹³‰º‚³‚¢D
+
+ “d‹C’ÊM‘åŠw î•ñHŠw‰È ¬—Ñ Œõ•v
+ §182 “Œ‹ž“s’²•zŽs’²•zƒ–‹u1-5-1
+ ‘—§—ðŽj–¯‘”Ž•¨ŠÙ î•ñŽ‘—¿Œ¤‹†•” —é–Ø ‘쎡
+ §285 ç—tŒ§²‘qŽsé“à’¬117
+ E-mail: suzuki@alp0.cs.uec.ac.jp
+ suz-tak@tansei.cc.u-tokyo.ac.jp
+
+’F
+(1) Zalgaller,V.A.: Convex Polyhedra with Regular Faces(‰p–ó”Å),
+Consultants Bureau, 1969. (Œ´’˜‚Í Zalgaller,B.A.: Vypuklye
+Mnogogranniki c Pravil'nymi Granyami, Nauka Press, 1966.)
+(2) ¬—ÑŒõ•v, —é–ؑ쎡: ³‘½ŠpŒ`‚ð–Ê‚É‚à‚‚·‚ׂĂ̓ʑ½–Ê‘Ì‚Ì’¸“_À•W
+‚ÌŒvŽZ, “d‹C’ÊM‘åŠw‹I—v, Vol.5, No.2, pp.147-184(1992).
+
+
+‚QDƒf[ƒ^ƒtƒ@ƒCƒ‹‚ÌŽí—Þ
+
+‘½–ʑ̃f[ƒ^‚̓fƒBƒŒƒNƒgƒŠ data/ ‚É‚ ‚éD
+
+‚P‚‚̑½–ʑ̂ɂ‚«‚P‚‚̃tƒ@ƒCƒ‹‚ª‘Ήž‚·‚éDŠe‘½–ʑ̂̃tƒ@ƒCƒ‹–¼‚ðˆÈ‰º
+‚ÉŽ¦‚·Dƒtƒ@ƒCƒ‹–¼‚Æ‘½–Ê‘Ì‚Ì–¼Ì‚Ƃ̑Ήž‚ÍCƒtƒ@ƒCƒ‹ dnamej.tex ‚Ì•\‚P
+‚©‚ç•\‚R‚ðŽQÆ‚Ì‚±‚ÆD
+
+³‘½–Ê‘Ì(regular polyhedron): r01, r02, r03, r04, r05.
+(r02 = a03, r03 = p04)
+
+€³‘½–Ê‘Ì(semiregular polyhedron): s01, s02, s03, s04, s05, s06, s07,
+s08, s09, s10, s11, s12L, s12R, s13L, s13R.
+(s12 ‚Æ s13 ‚Í‚»‚ꂼ‚ꋾ‘œŠÖŒW‚É‚ ‚鑽–Ê‘Ì‚ª‘¶Ý‚·‚é‚Ì‚ÅC¶ŽèŒn‚ƉEŽè
+Œn‚ð‚»‚ê‚¼‚ê L, R ‚Å‹æ•Ê‚µ‚Ä‚¢‚éD)
+(n37 ‚Í s08 ‚Ì”P‚ꂽ‚à‚ÌDƒ~ƒ‰[‚Ì‘½–ʑ̂ƌĂ΂ê‚éD‚±‚ê‚ð s14 ‚Æ‚Ý‚È
+‚·ê‡‚ª‚ ‚éD)
+
+³‘½Šp’Œ(prism): p03, p04, p05, p06, p07, p08, p09, p10.
+
+³‘½Šp”½’Œ(antiprism): a03, a04, a05, a06, a07, a08, a09, a10.
+
+®–Ê“Ê‘½–Ê‘Ì(regular-faced convex polyhedron):
+ iœ‚³‘½–Ê‘ÌC€³‘½–Ê‘ÌC³‘½Šp’ŒC³‘½Šp”½’Œj
+n01, n02, n03, n04, n05, n06, n07, n08, n09, n10, n11, n12, n13, n14,
+n15, n16, n17, n18, n19, n20, n21, n22, n23, n24, n25, n26, n27, n28,
+n29, n30, n31, n32, n33, n34, n35, n36, n37, n38, n39, n40, n41, n42,
+n43, n44L, n44R, n45L, n45R, n46L, n46R, n47L, n47R, n48L, n48R, n49,
+n50, n51, n52, n53, n54, n55, n56, n57, n58, n59, n60, n61, n62, n63,
+n64, n65, n66, n67, n68, n69, n70, n71, n72, n73, n74, n75, n76, n77,
+n78, n79, n80, n81, n82, n83, n84, n85, n86, n87, n88, n89, n90, n91,
+n92.
+(n44, n45, n46, n47, n48 ‚É‚Í‹¾‘œŠÖŒW‚É‚ ‚鑽–Ê‘Ì‚ª‘¶Ý‚·‚é‚Ì‚ÅC¶Žè
+Œn‚ƉEŽèŒn‚ð‚»‚ê‚¼‚ê L, R ‚Å‹æ•Ê‚µ‚Ä‚¢‚éD)
+
+
+‚RDƒf[ƒ^‚̃tƒH[ƒ}ƒbƒg
+
+ ƒf[ƒ^‚͂‚¬‚Ì‚SŽí—ނ̃f[ƒ^‚©‚ç‚È‚éD
+ E’¸“_‚É—×Ú‚·‚é’¸“_‚̃f[ƒ^
+ E’¸“_‚ðˆÍ‚ޖʂ̃f[ƒ^
+ E–Ê‚ð\¬‚·‚é’¸“_‚̃f[ƒ^
+ E’¸“_‚ÌÀ•Wƒf[ƒ^
+
+ ’¸“_C–ʂ͔Ԇ‚ÅŽ¯•Ê‚·‚éDn ŒÂ‚Ì’¸“_‚ª‚ ‚é‚Æ‚«‚Ì’¸“_”Ô†‚͈̔͂Í
+1 ”Ô‚©‚ç n ”Ô‚Ü‚Å‚Æ‚È‚éDm ŒÂ‚Ì–Ê‚ª‚ ‚é‚Æ‚«‚̖ʔԆ‚͈̔͂Í
+1 ”Ô‚©‚ç m ”Ô‚Ü‚Å‚Æ‚È‚éD
+
+ ‹ï‘Ì“I‚É‚ÍC‚‚¬‚̂悤‚Ƀf[ƒ^‚ª‚È‚ç‚ñ‚Å‚¢‚éDƒf[ƒ^‚Í’¸“_À•W
+‚̃f[ƒ^‚¾‚¯ŽÀ”‚ÅC‚ ‚Æ‚Í®”‚Å‚ ‚é
+
+ ’¸“_‚Ì”
+ ’¸“_”Ô† ’¸“_‚É—×Ú‚·‚é’¸“_‚Ì” —×Ú‚·‚é’¸“_‚̔ԆDDD
+ DDD
+ i’¸“_‚Ì”‚¾‚¯‘±‚j
+ DDD
+ ’¸“_‚Ì”
+ ’¸“_”Ô† ’¸“_‚É—×Ú‚·‚é–Ê‚Ì” —×Ú‚·‚é–ʂ̔ԆDDD
+ DDD
+ i’¸“_‚Ì”‚¾‚¯‘±‚j
+ DDD
+ –Ê‚Ì”
+ –ʔԆ –Ê‚ð\¬‚·‚é’¸“_‚Ì” –Ê‚ð\¬‚·‚é’¸“_‚̔ԆDDD
+ DDD
+ i–Ê‚Ì”‚¾‚¯‘±‚j
+ DDD
+ ’¸“_‚Ì”
+ ’¸“_”Ô† ’¸“_‚Ì‚wÀ•W ’¸“_‚Ì‚xÀ•W ’¸“_‚Ì‚yÀ•W
+ DDD
+ i’¸“_‚Ì”‚¾‚¯‘±‚j
+ DDD
+
+
+‚SD‘½–ʑ̂̃n[ƒhƒRƒs[‚ɂ‚¢‚Ä
+
+Še‘½–ʑ̂̃n[ƒhƒRƒs[‚ð PBM Œ`Ž®‚Å‹L˜^‚µ‚½‚à‚Ì‚ªCƒfƒBƒŒƒNƒgƒŠ
+hardcopy/ ‚É‚ ‚éDƒtƒ@ƒCƒ‹–¼‚̑Ήž‚ÍÀ•Wƒf[ƒ^‚Æ“¯‚¶‚Å‚ ‚éD
+
+ˆÈãD
diff --git a/Master/texmf-dist/scripts/ketcindy/data/polyhedrons_obj/READMEj(mitani).txt b/Master/texmf-dist/scripts/ketcindy/data/polyhedrons_obj/READMEj(mitani).txt new file mode 100644 index 00000000000..262fff5b365 --- /dev/null +++ b/Master/texmf-dist/scripts/ketcindy/data/polyhedrons_obj/READMEj(mitani).txt @@ -0,0 +1,7 @@ +OBJŒ`Ž®‚ÌÀ•Wƒf[ƒ^‚ɂ‚¢‚Ä
+
+¬—ÑŽA—é–ØŽ‚ª¶¬‚µ‚½®–Ê“Ê‘½–Ê‘Ìi‚y-‘½–Ê‘Ìj‚ÌÀ•Wƒf[ƒ^‚ðOBJŒ`Ž®‚É•ÏX‚µ‚½‚à‚Ì‚Å‚·B
+ƒf[ƒ^‚Ì“à—e‚ɂ‚¢‚Ä‚ÍA‚±‚̃tƒ@ƒCƒ‹‚Æ“¯«‚³‚ê‚Ä‚¢‚éREADMEj(kobayashi-suzuki).txt‚ð‚²——‚‚¾‚³‚¢B
+
+2007”N8ŒŽ27“ú
+ŽO’Jƒ jmitani@gmail.com
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37 +f 22 37 23 +f 23 37 38 +f 23 38 24 +f 24 38 25 +f 25 38 48 49 39 +f 25 39 26 +f 26 39 40 +f 26 40 27 +f 27 40 28 +f 28 41 29 +f 28 40 50 51 41 +f 29 42 30 +f 29 41 42 +f 30 42 31 +f 31 42 52 53 43 +f 31 43 32 +f 32 43 44 +f 32 44 33 +f 33 44 34 +f 34 44 54 55 45 +f 34 45 35 +f 35 45 36 +f 36 45 46 +f 37 47 48 +f 37 48 38 +f 39 49 50 +f 39 50 40 +f 41 52 42 +f 41 51 52 +f 43 53 54 +f 43 54 44 +f 45 55 46 +f 46 56 47 +f 46 55 56 +f 47 56 57 +f 47 57 48 +f 48 57 49 +f 49 58 50 +f 49 57 58 +f 50 58 51 +f 51 58 59 +f 51 59 52 +f 52 59 53 +f 53 59 60 +f 53 60 54 +f 54 60 55 +f 55 60 56 +f 56 60 59 58 57 diff --git a/Master/texmf-dist/scripts/ketcindy/dirhead.txt b/Master/texmf-dist/scripts/ketcindy/dirhead.txt new file mode 100644 index 00000000000..e87a8005629 --- /dev/null +++ b/Master/texmf-dist/scripts/ketcindy/dirhead.txt @@ -0,0 +1,7 @@ +Dirhead=Dircdy; +Dirwork=gethome()+pathsep()+"ketcindy"; +Dircdy=Dirwork; +setdirectory(Dirhead); +import("setketcindy.txt"); +import("ketoutset.txt"); +setdirectory(Dirwork); diff --git a/Master/texmf-dist/scripts/ketcindy/ketcindy.sh b/Master/texmf-dist/scripts/ketcindy/ketcindy.sh new file mode 100755 index 00000000000..23465f4b927 --- /dev/null +++ b/Master/texmf-dist/scripts/ketcindy/ketcindy.sh @@ -0,0 +1,100 @@ +#!/bin/sh +# +# KETCindy starter script +# +# (C) 2017 Norbert Preining +# Licensed under the same license terms as ketpic itself, that is GPLv3+ +# + +BinaryName=Cinderella2 +TemplateFile=template1basic.cdy +systype=`uname` + +if [ "$1" = "-c" ] +then + shift + cinderella="$1" +else + cinderella=`which $BinaryName 2>/dev/null` +fi + +if [ -z "$cinderella" ] +then + case $systype in + Darwin) + if [ -r /Applications/Cinderella2.app/Contents/MacOS/Cinderella2 ] + then + cinderella=/Applications/Cinderella2.app/Contents/MacOS/Cinderella2 + else + echo "Cannot find $BinaryName!" >&2 + exit 1 + fi + ;; + *) + echo "Cannot find $BinaryName!" >&2 + exit 1 + ;; + esac +fi + +if [ ! -x "$cinderella" ] ; then + echo "Program $cinderella is not executable!" >&2 + exit 1 +fi +# find real path +realcind=`realpath "$cinderella"` +cinddir=`dirname "$realcind"` +case $systype in + Darwin) + plugindir="$cinddir/../PlugIns";; + *) + plugindir="$cinddir/Plugins";; +esac + +plugin="$plugindir/KetCindyPlugin.jar" + +# find Jar +KetCdyJar=`kpsewhich -format=texmfscripts KetCindyPlugin.jar` +# search for template.cdy +TempCdy=`kpsewhich -format=texmfscripts $TemplateFile` + +if [ -z "$TempCdy" -o -z "$KetCdyJar" ] +then + echo "Cannot find $TemplateFile via kpsewhich, is ketpic installed?" >&2 + exit 1 +fi + + +if [ ! -r "$plugin" ] ; then + echo "Cinderella is *NOT* set up for KETCindy!" + echo "You need to copy" + echo " $KetCdyJar" + echo "into" + echo " $plugindir" + echo "" + exit 1 +fi + +# check whether the .jar md5sum is fine, but don't make this an error +case $systype in + Darwin) + __md5sum=md5;; + *) + __md5sum=md5sum;; +esac +myjarmd=`cat "$KetCdyJar" | $__md5sum` +sysjarmd=`cat "$plugin" | $__md5sum` +if [ ! "$myjarmd" = "$sysjarmd" ] +then + echo "The installed version of the plugin in" + echo " $plugin" + echo "differs from the version shipped in" + echo " $KetCdyJar" + echo "You might need to update the former one with the later one!" +fi + + +mkdir -p ~/ketcindy + +exec "$cinderella" "$TempCdy" + diff --git a/Master/texmf-dist/scripts/ketcindy/ketjava/KetCindyPlugin.jar b/Master/texmf-dist/scripts/ketcindy/ketjava/KetCindyPlugin.jar Binary files differnew file mode 100644 index 00000000000..2ae7ceda3f5 --- /dev/null +++ b/Master/texmf-dist/scripts/ketcindy/ketjava/KetCindyPlugin.jar diff --git a/Master/texmf-dist/scripts/ketcindy/ketlib/ketcindylib3dhelpE.txt b/Master/texmf-dist/scripts/ketcindy/ketlib/ketcindylib3dhelpE.txt new file mode 100644 index 00000000000..27b40955e62 --- /dev/null +++ b/Master/texmf-dist/scripts/ketcindy/ketlib/ketcindylib3dhelpE.txt @@ -0,0 +1,29 @@ +//help:start(); +//help:Changstyle3d*(change the attribute of 3d plot data); +//help:Findangle*(specify the angles theta and phi); +//help:Cancoordpara*(specify the coordinate with respect to canonical coordinate); +//help:Projcoordpara*(specify the coordinate of projected image); +//help:Parapt*(the coordinate of the point in the projected plane); +//help:Spaceline*(generate the plot data of 3d segments); +//help:Spacecurve*(generate the plot data of 3d curve); +//help:Xyzax3data*(generate the plot data of coordinate axes); +//help:Datalist3d*(list of plot data of the all objects on the screen. Both 2d and 3d values are returned); +//help:Skeletonparadata*(generate the plot data of the objects with hidden line elimination); +//help:Embed*(generate the embedded plot data); +//help:Rotate3pt*(rotate the point); +//help:Rotate3data*(rotate 3d plot data); +//help:Translate3pt*(parallelly transport the point); +//help:Translate3data*(parallelly transport the plot data); +//help:Reflect3point*(reflect the point); +//help:Xyzcoord*(coordinate of a point determined with respect to main screen and sub screen); +//help:PutonCurve3d*(put a point on the 3d curve); +//help:Ptsegdata*(generate the 3d plot data of point and segment derived from those on 2d screen); +//help:Putpoint3d*(put a specific point); +//help:Perppt*(the foot of the perpendicular on the plane); +//help:Perpplane*(a fiducial point of a plane with specific point on it and with specific normal vector); +//help:Drawpoint3d*(draw a specific point); +//help:Putaxes3d*(take a point with specific coordinates as geometric one); +//help:IntersectsgpL*(intersection between line and plane); +//help:Bezier3*(draw 3d Bezier curve); +//help:Mkbezierptcrv3*(draw 3d Bezier curve by automatically taking controll points); +//help:end(); diff --git a/Master/texmf-dist/scripts/ketcindy/ketlib/ketcindylib3dhelpJ.txt b/Master/texmf-dist/scripts/ketcindy/ketlib/ketcindylib3dhelpJ.txt new file mode 100644 index 00000000000..bd29d25ff24 --- /dev/null +++ b/Master/texmf-dist/scripts/ketcindy/ketlib/ketcindylib3dhelpJ.txt @@ -0,0 +1,45 @@ +//help:start(); +//help:Changstyle3d*(3dプãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã®å±žæ€§ã‚’変更); +//help:Findangle*(theta,phiを求ã‚ã‚‹); +//help:Cancoordpara*(標準座標を求ã‚ã‚‹); +//help:Projcoordpara*(投影座標を求ã‚ã‚‹); +//help:Parapt*(点ã®æŠ•å½±é¢ã§ã®åº§æ¨™); +//help:Spaceline*(空間ã®æŠ˜ç·šãƒ‡ãƒ¼ã‚¿ä½œæˆ); +//help:Spacecurve*(空間曲線ã®ãƒ‡ãƒ¼ã‚¿ä½œæˆ); +//help:Xyzax3data*(座標軸ã®ãƒ‡ãƒ¼ã‚¿ä½œæˆ); +//help:Datalist3d*(ç”»é¢ã«æã‹ã‚Œã¦ã„ã‚‹ã™ã¹ã¦ã®ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ï¼Žæˆ»ã‚Šå€¤ã¯3d,2d); +//help:Skeletonparadata*(スケルトン処ç†ã®ãƒ‡ãƒ¼ã‚¿ä½œæˆ); +//help:Embed*(埋ã‚è¾¼ã¿ãƒ‡ãƒ¼ã‚¿ä½œæˆ); +//help:Rotatept3d*(空間点を回転); +//help:Rotatedata3d*(プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã‚’回転); +//help:Translatept3d*(空間点を平行移動); +//help:Translatedata3d*(空間プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã‚’平行移動); +//help:Reflectpoint3d*(点をé¡æ˜ ); +//help:Xyzcoord*(主副画é¢ã§æ±ºã¾ã‚‹ç‚¹ã®åº§æ¨™); +//help:PutonCurve3d*(空間曲線上ã«ç‚¹ã‚’ã¨ã‚‹); +//help:Ptsegdata*(ç”»é¢ã«ã¨ã£ãŸç‚¹ã¨ç·šåˆ†ã‹ã‚‰ç©ºé–“ã®ç‚¹ã¨ç·šåˆ†ã‚’作æˆ); +//help:Putpoint3d*(空間点をã¨ã‚‹); +//help:Perppt*(å¹³é¢ã«ä¸‹ã‚ã—ãŸåž‚ç·šã®è¶³); +//help:Perpplane*(点を通り垂直ãªå¹³é¢ä¸Šã®åŸºæº–点); +//help:Drawpoint3d*(空間点をæã); +//help:Putaxes3d*(座標点を幾何点ã¨ã—ã¦ã¨ã‚‹); +//help:IntersectsgpL*(空間ã®ç›´ç·šã¨å¹³é¢ã®äº¤ç‚¹); +//help:Bezier3d*(空間ベジェ曲線); +//help:Mkbezierptcrv3d*(制御点を自動的ã«ã¨ã‚‹ç©ºé–“ベジェ曲線); +//help:Readobj*(objファイルをèªã¿è¾¼ã‚€ï¼Žã‚ªãƒ—ションã¯ä¸Šä¸‹å転(符å·ï¼‰ã¨å€çŽ‡); +//help:VertexandEdge*(é ‚ç‚¹ã¨é¢ã‹ã‚‰è¾ºã‚’求ã‚,辺をæã); +//help:Phparadata*(多é¢ä½“を陰線処ç†ã—ã¦æã +//è¿½åŠ ã‚ªãƒ—ã‚·ãƒ§ãƒ³ : "Hidden=線種"); +//help:Nohiddenbyfaces*(多é¢ä½“ã¨ç©ºé–“曲線を陰線処ç†); +//help:Fixpoint3d*(空間ã®å›ºå®šç‚¹ã‚’ã¨ã‚‹); +//help:Sf3data*(陰線処ç†ãªã—ã®ç©ºé–“曲é¢ã‚’æã); +//help:Concatobj*(ã„ãã¤ã‹ã®objデータをçµåˆ); +//help:Crvsfparadata*(曲線ã®æ›²é¢ã«ã‚ˆã‚‹é™°ç·šå‡¦ç†); +//help:Intersectcrvsf*(曲線ã¨æ›²é¢ã®äº¤ç‚¹ã‚’求ã‚ã‚‹); +//help:Intersectcrvsf*(曲線ã¨æ›²é¢ã®äº¤ç‚¹ã‚’求ã‚ã‚‹); +//help:Sfbdparaparadata*(空間曲é¢ã®é™°ç·šå‡¦ç†); +//help:Wireparadata*(曲é¢ã®ãƒ¯ã‚¤ãƒ¤ãƒ•ãƒ¬ãƒ¼ãƒ を陰線処ç†); +//help:Dist3d*(空間ã®ï¼’点ã®è·é›¢); + + +//help:end(); diff --git a/Master/texmf-dist/scripts/ketcindy/ketlib/ketcindylib3dlogr.txt b/Master/texmf-dist/scripts/ketcindy/ketlib/ketcindylib3dlogr.txt new file mode 100644 index 00000000000..55b2fc71c23 --- /dev/null +++ b/Master/texmf-dist/scripts/ketcindy/ketlib/ketcindylib3dlogr.txt @@ -0,0 +1,34 @@ +// 2018.03.27 +// Start3d changed (for C) +// 2018.02.27 +// Sfbdpara,... changed ("Res=" made from fname) +// 2018.02.26 +// Sfcutparadata (renamed from Sfcutdata) changed +// 2018.02.24 +// Sfcutdata added +// 2018.02.23 +// Crvonsfparadata added +// Wireparadata added +// Skeletonparadata rechanged to old version +// 2018.02.22 +// Intersectcrvsf added (changed to R) +// Sdbdpradata,Crvsfparadata,Intersectcrvsf changed (title printing) +// 2018.02.20 +// Addpoints added +// PthiddenQ,Meetpoints debugged +// 2018.02.18 +// Sfbdparadata debuggded (OTHERPARTITION ) +// 2018.02.11 +// Sfbdparadata added +// 2018.01.04 +// Skeletonparadata(Skeletondatacindy) majorly changed +// 2017.10.23 +// Rotatedata3d, Translatedata3d debugged ([]) +// 2017.10.08 +// Bezier3,Putbezier3data,Mkbezierptcrv3d greatly changed +// 2017.10.07 +// Mkpointlist debugged +// Start3d,Ptseg3d, Setangle, Mkpointlist, Mkseq3d, Putpoint3d Skeleton..,Putbezier.. +// changed ( "=" removed from VLIST) +// 2017.09.18 +// SCIWR,SCIRE removed diff --git a/Master/texmf-dist/scripts/ketcindy/ketlib/ketcindylib3dr.cs b/Master/texmf-dist/scripts/ketcindy/ketlib/ketcindylib3dr.cs new file mode 100644 index 00000000000..ce7a65f1074 --- /dev/null +++ b/Master/texmf-dist/scripts/ketcindy/ketlib/ketcindylib3dr.cs @@ -0,0 +1,4503 @@ +// Copyright (C) 2014 Setsuo Takato, KETCindy Japan project team +// +//This program is free software: you can redistribute it and/or modify +// it under the terms of the GNU General Public License as published by +// the Free Software Foundation; either version 3 of the License, or +// (at your option) any later version. +// +// This program is distributed in the hope that it will be useful, +// but WITHOUT ANY WARRANTY; without even the implied warranty of +// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the +// GNU General Public License for more details. +// +// You should have received a copy of the GNU General Public License +// along with this program. If not, see <http://www.gnu.org/licenses/> +// + +println("ketcindylib3d(20180327) loaded"); + +//help:start(); + +Ketinit3d():=Ketinit3d(1); +Ketinit3d(sf):=( + regional(tmp); + tmp=round(4*SW.y)/4; +// Ketinit3d(sf,[round(SW.x)+1,tmp-0.5,tmp-1]); + Ketinit3d(sf,[-5,tmp-0.5,tmp-1]); +); +Ketinit3d(subflg,position):=( +//help:Ketinit3d(subflg=1) + regional(ctr,tmp,tmp1,tmp2,tmp3,tmp4,xPos,yTh,yPh); +// println("KETCindy3d V.2.3.5(2016.02.03)"); + BezierNumber3=1; //15.02.28 + if(!islist(BZLIST3), + BZLIST3=[]; //15.02.28 + , + tmp=apply(allpoints(),text(#)); + tmp1=select(tmp,substring(#,length(#)-1,length(#))=="p"); + tmp2=[]; + forall(tmp1,ctr, + tmp=substring(ctr,0,length(ctr)-1); + tmp=select(BZLIST3,#_1==tmp); + if(length(tmp)>0, + tmp2=append(tmp2,tmp_1); + ); + ); + BZLIST3=tmp2; + ); + SUBSCR=subflg; + Setwindow("Msg=no"); + if(length(position)>2, + xPos=position_1; + yTh=position_2; + yPh=position_3; + , + xPos=0; + yTh=position_1; + yPh=position_2; + ); +// THETA=60*pi/180; +// PHI=30*pi/180; + FocusPoint=[0,0,0]; + EyePoint=[5,5,5]; + Listplot("th",[[xPos,yTh],[xPos+9,yTh]],["notex","linecolor->[0,1,0]","Msg=no"]); + Listplot("ph",[[xPos,yPh],[xPos+9,yPh]],["notex","linecolor->[0,1,0]","Msg=no"]); + //16.02.10 + PutonCurve("TH",sgth,[xPos,xPos+9,"Msg=no"]); + PutonCurve("FI",sgph,[xPos,xPos+9,"Msg=no"]); + THETA=(TH.x-xPos)*20*pi/180; + PHI=(FI.x-xPos)*40*pi/180; +// Defvar("THETA",THETA); // 16.06.20 +// Defvar("PHI",PHI); // 16.06.20 + drawtext([xPos-0.8,yTh-0.1],Sprintf((TH.x-xPos)*20,2),align->"right"); //17.05.02 + drawtext([xPos-0.8,yPh-0.1],Sprintf((FI.x-xPos)*40,2),align->"right"); //17.05.02 + tmp="Setangle("+text((TH.x-xPos)*20)+","+text((FI.x-xPos)*40)+")"; + GLIST=append(GLIST,tmp); + Addax(0); + TSIZE=10; + TSIZEZ=10; + ErrFlg=0; +); + +Start3d():=Start3d([]); +Start3d(ptexception):=( +//help:Start3d(); +//help:Start3d(execptionptlist); + regional(xmn,xMx,ymn,yMx,pt,pt3,pt2, + xPos,yTh,yPh,Eps,tmp,tmp1,tmp2,tmp3,tmp4); + ConstantListC=[[50,50],[5000,1500,500,200],[0.00001,0.01,0.1]]; + FuncListC=[]; + CommandListC=[]; + GCLIST=[]; + GLIST=[]; + FUNLIST=[]; + COM0thlist=[]; + COM1stlist=[]; + COM2ndlist=[]; + SEG3dlist=[]; + OutFileList=[]; + FigPdfList=[]; // 16.04.08 + ErrFlag=0; + OBJCMD=[]; // 16.11.29from + OCNAME=Fhead; + OCOPTION=["m","v"];// 16.11.29until + ArrowlineNumber=1; // 16.01.31 + ArrowheadNumber=1; + BezierNumber=1; //16.01.31 + BezierNumber3=1; //16.08.19 + Fnametex=Fhead+".tex"; // 15.04.06 + FnameR=Fhead+".r"; + FnameRbody=Fhead+"body.r"; + Fnameout=Fhead+".txt"; +// Ketinit3d(SUBSCR); // 16.06.20 + Setwindow("Msg=no"); // 16.06.20from + tmp=round(4*SW.y)/4; + xPos=-5;yTh=tmp-0.5;yPh=tmp-1; + Listplot("th",[[xPos,yTh],[xPos+9,yTh]], + ["notex","linecolor->[0,1,0]","Msg=no"]); + Listplot("ph",[[xPos,yPh],[xPos+9,yPh]], + ["notex","linecolor->[0,1,0]","Msg=no"]); + //16.02.10 + PutonCurve("TH",sgth,[xPos,xPos+9,"Msg=no"]); + PutonCurve("FI",sgph,[xPos,xPos+9,"Msg=no"]); + drawtext([xPos-0.8,yTh-0.1],Sprintf((TH.x-xPos)*20,2),align->"right"); //17.05.02 + drawtext([xPos-0.8,yPh-0.1],Sprintf((FI.x-xPos)*40,2),align->"right"); //17.05.02 + tmp="Setangle(" + +format((TH.x-xPos)*20,5)+"," + +format((FI.x-xPos)*40,5)+")"; + GLIST=append(GLIST,tmp); + THETA=(TH.x-xPos)*20*pi/180; + PHI=(FI.x-xPos)*40*pi/180; // 16.06.20until + if(isselected(TH) % isselected(FI), // 17.05.18from + if(length(Ch)>0, + ChNum=Ch_(length(Ch)); + if(ChNum==0, ChNum=1); + , + ChNum=1; + ); + Ch=[0]; + );// 17.05.18until + if(length(VLIST)==0, // 16.06.20 + tmp=remove(allpoints(),[NE,SW,TH,FI,O,X,Y,Z]);//17.06.02 + tmp4=remove(tmp,ptexception); + forall(tmp4,pt, + tmp1=text(pt); + tmp=substring(tmp1,length(tmp1)-1,length(tmp1)); + if(tmp!="z", + tmp=parse(tmp1+"z.y"); + pt3=Xyzcoord(pt.x,pt.y,tmp); + Defvar(tmp1+"3d",pt3); + pt2=Parapt(pt3); // 16.05.28from + Defvar(tmp1+"2d",pt2); // 16.05.28until + ); + ); + , + if(isselected(NE) % isselected(SW), + tmp=remove(allpoints(),[NE,SW,TH,FI]); + tmp4=remove(tmp,ptexception); + forall(tmp4,pt, + tmp1=text(pt); + tmp=substring(tmp1,length(tmp1)-1,length(tmp1)); + if(tmp!="z", + tmp=select(VLIST,#_1==tmp1+"3d"); //17.10.07 + pt3=tmp_1_2; + tmp=tmp1+".xy=Parapt("+pt3+")_[1,2];"; + parse(tmp); +// if(SUBSCR==1, +// tmp=tmp1+"z"+".x=NE.x-SW.x+"+tmp1+".x"; +// parse(tmp); +// ); + ); + ); + , + tmp=remove(allpoints(),[NE,SW,TH,FI]); + tmp4=remove(tmp,ptexception); + forall(tmp4,pt, + tmp1=text(pt); + tmp=substring(tmp1,length(tmp1)-1,length(tmp1)); + if(tmp!="z", + tmp2=parse(tmp1+"z"); + if(isselected(pt) % isselected(tmp2), + Defvar(tmp1+"2d",pt.xy); + tmp=parse(tmp1+"z.y"); + tmp=Xyzcoord(pt.x,pt.y,tmp); + Defvar(tmp1+"3d",tmp); + ); + ); + ); + ); + ); + if(SUBSCR==1, + xmn=SW.x+NE.x-SW.x; + xMx=NE.x+NE.x-SW.x; + ymn=SW.y; + yMx=NE.y; + drawpoly([[xMx,yMx],[xmn,yMx], + [xmn,ymn],[xMx,ymn]],color->[1,1,1]); + connect([[NE.x-SW.x,yMx],[NE.x-SW.x,ymn]], + color->[0.5,0.5,0.5]); + ); + // for Presentation //17.07.01from + letterc=[0.98,0.13,0,0.43]; boxc=[0,0.32,0.52,0]; + shadowc=[0,0,0,0.5]; mboxc="yellow"; //17.03.02 regional debugged + SlideColorList=[letterc,boxc,boxc,boxc,shadowc,shadowc,6,1.3, + letterc,mboxc,mboxc,mboxc,62,2,letterc]; + ThinDense=0.1; //17.07.01until + Ptseg3data(ptexception); //16.08.23 +); + +Setangle(theta,phi):=( //16.12.24 +//help:Setangle(60,30); + regional(xmn,xMx,ymn,yMx,pt,pt3,pt2, + xPos,yTh,yPh,Eps,tmp,tmp1,tmp2,tmp3,tmp4); + tmp=round(4*SW.y)/4; + xPos=-5;yTh=tmp-0.5;yPh=tmp-1; + if(theta=="",theta=THETA*180/pi); // 17.01.19 + if(phi=="",phi=PHI*180/pi); + THETA=theta*pi/180; + TH.x=theta/20+xPos; + PHI=phi*pi/180; + FI.x=phi/40+xPos; +// drawtext([xPos-0.8,yTh-0.1],text(theta)); //17.05.05 +// drawtext([xPos-0.8,yPh-0.1],text(phi)); + tmp="Setangle(" + +format(theta,5)+","+format(phi,5)+")"; + GLIST=append(GLIST,tmp); + if(length(VLIST)==0, // 16.06.20 + tmp=remove(allpoints(),[NE,SW,TH,FI]); + tmp4=remove(tmp,ptexception); + forall(tmp4,pt, + tmp1=text(pt); + tmp=substring(tmp1,length(tmp1)-1,length(tmp1)); + if(tmp!="z", + tmp=parse(tmp1+"z.y"); + pt3=Xyzcoord(pt.x,pt.y,tmp); + Defvar(tmp1+"3d",pt3); + pt2=Parapt(pt3); // 16.05.28from + Defvar(tmp1+"2d",pt2); // 16.05.28until + ); + ); + , + if(isselected(NE) % isselected(SW), + tmp=remove(allpoints(),[NE,SW,TH,FI]); + tmp4=remove(tmp,ptexception); + forall(tmp4,pt, + tmp1=text(pt); + tmp=substring(tmp1,length(tmp1)-1,length(tmp1)); + if(tmp!="z", + tmp=select(VLIST,#_1==tmp1+"3d"); + pt3=tmp_1_2; + tmp=tmp1+".xy=Parapt("+pt3+")_[1,2];"; + parse(tmp); + ); + ); + , + tmp=remove(allpoints(),[NE,SW,TH,FI]); + tmp4=remove(tmp,ptexception); + forall(tmp4,pt, + tmp1=text(pt); + tmp=substring(tmp1,length(tmp1)-1,length(tmp1)); + if(tmp!="z", + tmp2=parse(tmp1+"z"); + if(isselected(pt) % isselected(tmp2), + Defvar(tmp1+"2d",pt.xy); + tmp=parse(tmp1+"z.y"); + tmp=Xyzcoord(pt.x,pt.y,tmp); + Defvar(tmp1+"3d",tmp); + ); + ); + ); + ); + ); + forall(Datalist3d(),#, + tmp1=replace(#,"3d","2d"); + tmp2=Projpara(#,["nodata"]); + tmp=tmp1+"="+textformat(tmp2,5); + parse(tmp); + ); + Ptseg3data(ptexception); +); + +Changestyle3d(nameL,style):=( +//help:Changestyle3d(["geoseg3d","ax3d"],["notex"]); + regional(nmL,name,tmp,tmp1,tmp2); + if(islist(nameL),nmL=nameL,nmL=[nameL]); + tmp1=[]; + forall(nmL,name, + tmp=parse(name); + if(isstring(tmp_1), + tmp1=concat(tmp1,tmp); + , + tmp1=append(tmp1,name); + ); + tmp=apply(tmp1,replace(#,"3d","2d")); + Changestyle(tmp,style); + tmp=apply(tmp,"sub"+#); // 15.05.24 + Changestyle(tmp,style); + ); +); + +Dist3d(pt1):=Dist3d(pt1,[0,0,0]); +Dist3d(pt1,pt2):=( +//help:Dist3d(A3d,B3d); +//help:Dist3d(A,B); +//help:Dist3d("A","B"); + regional(p1,p2); + if(islist(pt1), + p1=pt1; + , + if(ispoint(pt1),p1=text(pt1),p1=pt1); + p1=parse(p1+"3d"); + ); + if(islist(pt2), + p2=pt2; + , + if(ispoint(pt2),p2=text(pt2),p2=pt2); + p2=parse(p2+"3d"); + ); + sqrt((p2-p1)*(p2-p1)); +); + +Findangle(vec):=( +//help:Findangle([2,1,4]); +//help:Findangle([0,0,1,0]); + regional(vec3,vec2,Eps,th,ph,tmp); + Eps=10^(-4); + vec3=vec_(1..3); + vec2=vec_(1..2); + th=arccos(vec_3/|vec3|); + if(|vec2|>Eps, + ph=arccos(vec_1/|vec2|); + if(vec_2<0, + ph=2*pi-ph; // 15.03.28 + ); + , + if(length(vec)>3,ph=vec_4*pi/180,ph=PHI); + ); + [th,ph]; +); + +Cancoordpara(pc):=( +//help:Cancoordpara([1,2,0]); + regional(Xz,Yz,Zz,tmp1,tmp2,tmp3); + Xz=pc_1; Yz=pc_2; Zz=pc_3; + tmp1=-Xz*sin(PHI)-Yz*cos(PHI)*cos(THETA)+Zz*cos(PHI)*sin(THETA); + tmp2=Xz*cos(PHI)-Yz*sin(PHI)*cos(THETA)+Zz*sin(PHI)*sin(THETA); + tmp3=Yz*sin(THETA)+Zz*cos(THETA); + [tmp1,tmp2,tmp3]; +); + +Zparapt(cc):=( + regional(x,y,z); + x=cc_1; y=cc_2; z=cc_3; + x*cos(PHI)*sin(THETA)+y*sin(PHI)*sin(THETA)+z*cos(THETA); +); + +Projcoordpara(cc):=( +//help:Projcoordpara([3,1,2]); + regional(tmp); + tmp=Parapt(cc); + [tmp_1,tmp_2,Zparapt(cc)]; +); + +Parapt(pt):=( +//help:Parapt([2,1,5]); + regional(Xz,Yz); + Xz=-pt_1*sin(PHI)+pt_2*cos(PHI); + Yz=-pt_1*cos(PHI)*cos(THETA)-pt_2*sin(PHI)*cos(THETA)+pt_3*sin(THETA); + [Xz,Yz]; +); + +ProjCurve(crv):=( +//help:Projcurve("sl3d1"); + regional(CurveL,Curve,Eps,AnsL,Out,sp,cp,st,,ct,ii,pt, + Xz,Yz,tmp,tmp1,tmp2); + Eps=10^(-6); + sp=sin(PHI); cp=cos(PHI); + st=sin(THETA); ct=cos(THETA); + if(isstring(crv),CurveL=parse(crv),CurveL=crv); + if(MeasureDepth(CurveL)==1,CurveL=[CurveL]); + Out=[]; + forall(CurveL,Curve, + AnsL=[]; + forall(1..length(Curve),ii, + pt=Curve_ii; + if(pt_1!="inf", + Xz=-pt_1*sp+pt_2*cp; + Yz=-pt_1*cp*ct-pt_2*sp*ct+pt_3*st; + tmp=[Xz,Yz]; + if(ii==1, + AnsL=[tmp]; + , + tmp1=AnsL_(length(AnsL)); + if(tmp1_1=="inf" % |tmp-tmp1|>Eps, + AnsL=append(AnsL,tmp); + ); + ); + , + AnsL=append(AnsL,["inf"]); + ); + ); + tmp1=[]; + tmp2=select(1..length(AnsL),AnsL_#==["inf"]); + tmp=1; + forall(tmp2, + if(#>tmp, + tmp1=concat(tmp1,[AnsL_(tmp..(#-1))]) + ); + tmp=#+1; + ); + if(tmp<length(AnsL), + tmp1=concat(tmp1,[AnsL_(tmp..length(AnsL))]); + ); + AnsL=tmp1; + if(length(AnsL)==1,AnsL=AnsL_1); + Out=append(Out,AnsL); + ); + if(length(Out)==1, + Out=Out_1; + ); + Out; +); + +Projpara(ptdata):=Projpara(ptdata,[]); +Projpara(ptdata,options):=( + regional(name2,name3,Ltype,Noflg,opcindy,dtL,ptL,tmp,Out); + tmp=Divoptions(options); + Ltype=tmp_1; + Noflg=tmp_2; + opcindy=tmp_(length(tmp)); + if(islist(ptdata),dtL=ptdata,dtL=[ptdata]); + Out=[]; + forall(dtL,name3, +// name3=#; + if(indexof(name3,"3d")>0, //17.05.24 + name2=replace(name3,"3d","2d"); + , + name2="para"+name3; + ); + ptL=Projcurve(name3); + ptL=select(ptL,length(#)>1);//17.06.02 + if(length(ptL)==1, + ptL=ptL_1; + ); + Out=append(Out,ptL); + if(Noflg<3, + println("generate projparadata "+name2); + tmp=name2+"="+textformat(ptL,5); + parse(tmp); + tmp=name2+"=Projpara("+name3+")"; + GLIST=append(GLIST,tmp); + ); + if(Noflg<2, + if(isstring(Ltype), + Ltype=GetLinestyle(text(Noflg)+Ltype,name2); + , + if(Noflg==1,Ltype=0); + ); + GCLIST=append(GCLIST,[name2,Ltype,opcindy]); + ); + ); + if(length(Out)==1,Out=Out_1); +// Out=Flattenlist(Out); + if(length(Out)==1,Out=Out_1); // 15.02.24 + tmp=[]; + forall(Out, + if(length(#)>0,tmp=append(tmp,#)); + ); + Out=tmp; + Out; +); + +InvparaptPp(pt,pd):=( + regional(Eps,fk,nfk,ph,fh,ah,bh,ak,bk,v1,v2, + nn,s0,t2,out,tmp,tmp1,tmp2,flg); + Eps=10^(-4); + if(isstring(pd), + fk=pd; + , + fk=textformat(pd,5); + ); + nfk=Numptcrv(parse(fk)); + flg=0; + tmp=pt; + if(length(tmp)==1, + ph=tmp; + fh=pd; + , + fh=Projpara(fk,["nodata"]); + if(nfk>2, + tmp1=Nearestpt(tmp,fh); + ph=tmp1_2; + , + ah=Ptcrv(1,fh); bh=Ptcrv(2,fh); + v1=tmp-ah; v2=bh-ah; + tmp1=Crossprod(v1,v2); + if(abs(tmp1)>Eps, + println(" Not on the line"); + out=[]; + flg=1; + , + ph=Dotprod(v1,v2)/|v2|^2+1; + ); + ); + ); + if(flg==0, + if(nfk>2, + nn=floor(ph); + s0=ph-nn; + if(ph>Numptcrv(fh)-Eps, + out=[Ptend(fk),Numptcrv(fh)]; + flg=1; + ); + , + nn=1; + s0=ph-1; + ); + ); + if(flg==0, + ak=Ptcrv(nn,fk); bk=Ptcrv(nn+1,fk); + ah=Ptcrv(nn,fh); bh=Ptcrv(nn+1,fh); + ph=(1-s0)*ah+a0*bh; + t2=s0; + pk=(1-t2)*ak+t2*bk; + out=[pk,nn+t2]; + ); + out; +); + +Invparapt(pt,pd):=( + regional(tmp); + tmp=InvparaptPp(pt,pd); + tmp_1; +); + +Subgraph(name,opcindy):=( + regional(tht,tmp,tmp1); + tht=THETA; THETA=pi/2; + tmp=Projpara(name3,["nodata"]); + if(length(tmp)>0, //15.08.17 + tmp=Translatedata("",[tmp],[NE.x-SW.x,0],["nodata"]); + tmp1=replace("sub"+name,"3d","2d"); + tmp=tmp1+"="+Textformat(tmp,5); + parse(tmp); + GCLIST=append(GCLIST,[tmp1,0,opcindy]); + ); + THETA=tht; // 15.11.03 +); + +Spaceline(ptlist):=Spaceline(ptlist,[]); // 16.02.22 from +Spaceline(Arg1,Arg2):=( + regional(name,tmp,tmp1,tmp2); + if(isstring(Arg1), + Spaceline(Arg1,Arg2,[]); + , + tmp=text(Arg1); + tmp=substring(tmp,1,length(tmp)-1); + name="-"+replace(tmp,",",""); + Spaceline(name,Arg1,Arg2); + ); +); // 16.02.22 until +Spaceline(nm,ptlistorg,optionorg):=( +//help:Spaceline("1",[[2,5,1],[4,2,3]]); +//help:Spaceline([A,B]); + regional(name2,name3,options,Out,tmp,tmp1,tmp2, + opstr,opcindy,Ltype,Noflg,eqL,ptlist, Msg); + ptlist=apply(ptlistorg,if(ispoint(#),parse(text(#)+"3d"),#)); // 16.02.10 + if(substring(nm,0,2)=="bz", + name2=replace(nm,"bz","bz2d"); + name3=replace(nm,"bz","bz3d"); + , + if(substring(nm,0,1)=="-", + tmp=substring(nm,1,length(nm)); + if(indexof(tmp,"3d")>0,name3=tmp,name3=tmp+"3d"); + name2=replace(name3,"3d","2d"); + , + name2="sl2d"+nm; + name3="sl3d"+nm; + ); + ); + options=select(optionorg,length(#)>0); // 160415 + tmp=Divoptions(options); + Ltype=tmp_1; + Noflg=tmp_2; + eqL=tmp_5; + opcindy=tmp_(length(tmp)); + Msg=1; + forall(eqL, + tmp=substring(#,0,1); + if(Toupper(tmp)=="M", + tmp=indexof(#,"="); + tmp1=substring(#,tmp,tmp+1); + if(Toupper(tmp1)=="N", + Msg=0; + ); + ); + ); + if(Noflg<3, + if(Msg==1, + println("generate Spaceline "+name3); + ); + tmp=name3+"="+ptlist; + parse(tmp); + tmp1=Projpara(name3,["nodata"]); + tmp=name2+"="+textformat(tmp1,5); + parse(tmp); + tmp="["; + forall(ptlist, //17.07.13from + if(isstring(#), + tmp=tmp+#+","; + , + tmp=tmp+textformat(#,5)+","; + ); + ); + tmp=substring(tmp,0,length(tmp)-1)+"]"; + tmp=name3+"=Spaceline("+tmp+")"; //17.07.13until +// tmp=name3+"=Spaceline("+textformat(ptlist,5)+")"; //17.05.24 + GLIST=append(GLIST,tmp); + tmp=name2+"=Projpara("+name3+")"; + GLIST=append(GLIST,tmp); + ); + if(Noflg<2, + if(isstring(Ltype), + Ltype=GetLinestyle(text(Noflg)+Ltype,name2); + , + if(Noflg==1,Ltype=0); + ); + GCLIST=append(GCLIST,[name2,Ltype,opcindy]); + if(SUBSCR==1, // 15.02.11 + Subgraph(name3,opcindy); + ); + ); + ptlist; +); + +Spacecurve(nm,funstr,variable):=Spacecurve(nm,funstr,variable,[]); +Spacecurve(nm,funstr,variable,optionorg):=( +//help:Spacecurve("1","[cos(t),sin(t),0.5*t]","t=[0,4*pi]",["Num=200"]); + regional(name2,name3,options,Out,tmp,tmp1,tmp2,vname,tmpfn,str,Rng,Num,Msg, + Ec,Exfun,Dc,opstr,opcindy,Fntmp,Vatmp,Ltype,Noflg,eqL,t1,t2,dt,tt,pa,ke); + if(substring(nm,0,2)=="bz", + name2=replace(nm,"bz","bz2d"); + name3=replace(nm,"bz","bz3d"); + , + name2="sc2d"+nm; + name3="sc3d"+nm; + ); + Eps=10^(-4); + Num=50; + Ec=[]; + Exfun=""; + Dc=1000; + options=select(optionorg,length(#)>0); // 160415 + tmp=Divoptions(options); + Ltype=tmp_1; + Noflg=tmp_2; + eqL=tmp_5; + opstr=tmp_(length(tmp)-1); + opcindy=tmp_(length(tmp)); + Msg=1; + forall(eqL, + tmp=substring(#,0,1); + if(Toupper(tmp)=="M", + tmp=indexof(#,"="); + tmp1=substring(#,tmp,tmp+2); + if(Toupper(tmp1)=="NO", + Msg=0; + ); + ); + tmp=indexof(#,"N="); + if(tmp>0, + tmp1=substring(#,tmp+1,length(#)); + Num=parse(tmp1); + opstr=opstr+",'"+#+"'"; + ); + tmp=indexof(#,"Num="); + if(tmp>0, + tmp1=substring(#,tmp+3,length(#)); + Num=parse(tmp1); + opstr=opstr+",'"+#+"'"; + ); + tmp=indexof(#,"E="); + if(tmp>0, + tmp1=substring(#,tmp+1,length(#)); + if(substring(tmp1,0,1)=="[", + Ec=parse(tmp1); + , + Exfun=tmp1; + ); + opstr=opstr+",'"+#+"'"; + ); + tmp=indexof(#,"Exc="); + if(tmp>0, + tmp1=substring(#,tmp+3,length(#)); + if(substring(tmp1,0,1)=="[", + Ec=parse(tmp1); + , + Exfun=tmp1; + ); + ); + ); + tmp=indexof(variable,"="); + vname=substring(variable,0,tmp-1); + str=substring(variable,tmp,length(variable)); + Rng=parse(str); + t1=Rng_1; t2=Rng_2; + dt=(t2-t1)/Num; // differ from Scilab + tmp="tmpfn("+vname+"):="+funstr+";"; + parse(tmp); + Out=[]; + Ec=append(sort(Ec),10000); + ke=1; + forall(0..Num, + pt=[]; + tt=Rng_1+#*dt; + if(tt-Ec_ke<-Eps, + pa=tmpfn(tt); + ); + if(abs(tt-Ec_ke)<=Eps, + if(length(Out)>0, + if(Out_(length(Out))_1!="inf", + pa=["inf"]; + ); + ); + ); + if(tt-Ec_ke>Eps, + pa=tmpfn(tt); + ke=ke+1; + ); + if(length(pa)>0, + if(pa_1=="inf", + Out=append(Out,pa); + , + if(length(Out)==0, + Out=[pa]; + , + tmp=Out_(length(Out)); + if(tmp_1=="inf", + Out=append(Out,pa); + , + if(|tmp-pa|<Dc, + Out=append(Out,pa); + , + Out=concat(Out,[["inf"],pa]); + ); + ); + ); + ); + ); + ); + tmp1=[]; + tmp2=select(1..length(Out),Out_#==["inf"]); + tmp=1; + forall(tmp2, + if(#>tmp, + tmp1=concat(tmp1,[Out_(tmp..(#-1))]) + ); + tmp=#+1; + ); + if(tmp<length(Out), + tmp1=concat(tmp1,[Out_(tmp..length(Out))]); + ); + if(length(Out)==1, + Out=Out_1; + ); + if(Noflg<3, + if(Msg==1, + println("generate Spacecurve "+name3); + ); + tmp=name3+"="+textformat(Out,5); + parse(tmp); + tmp1=Projpara(name3,["nodata"]); + tmp=name2+"="+textformat(tmp1,5); + parse(tmp); + tmp=name3+"=Spacecurve(Assign('"+funstr+"'),'"+variable+"'"+opstr+")"; + GLIST=append(GLIST,tmp); + tmp=name2+"=Projpara("+name3+")"; + GLIST=append(GLIST,tmp); + ); + if(Noflg<2, + if(isstring(Ltype), + Ltype=GetLinestyle(text(Noflg)+Ltype,name2); + , + if(Noflg==1,Ltype=0); + ); + GCLIST=append(GCLIST,[name2,Ltype,opcindy]); + if(SUBSCR==1, // 15.02.11 + tmp=parse(name2); // 15.08.17 + if(length(tmp)>0, + Subgraph(name3,opcindy); + ); // 15.08.17 + ); + ); + Out; +); + +Partcrv3d(nm,pA,pB,PkLstr):=Partcrv3d(nm,pA,pB,PkLstr,[]); +Partcrv3d(nm,pA,pB,PkLstr,options):=( +//help:Partcrv3d("1",A,B,"sl3d1"); +//help:Partcrv3d("1",1.3,2.5,"sl3d1"); + regional(p1,p2,q1,q2,dt1,dts,dt3,tmp,tmp1,tmp2); + if(isreal(pA), + p1=pA; q1=pA; + , + if(islist(pA), + tmp=pA; + , + if(ispoint(pA),tmp=text(pA),tmp=pA); + tmp=parse(tmp+"3d"); + ); + p1=parapt(tmp); + q1=[p1_1,tmp_3]+[NE.x-SW.x,0]; + ); + if(isreal(pB), + p2=pB; q2=pB; + , + if(islist(pB), + tmp=pB; + , + if(ispoint(pB),tmp=text(pB),tmp=pB); + tmp=parse(tmp+"3d"); + ); + p2=parapt(tmp); + q2=[p2_1,tmp_3]+[NE.x-SW.x,0]; + ); + tmp=replace(PkLstr,"3d","2d"); + dt1=partcrv("",p1,p2,tmp,["nodata"]); + dts=partcrv("",q1,q2,"sub"+tmp,["nodata"]); + dt=apply(1..length(dt1), + Xyzcoord(dt1_#_1,dt1_#_2,dts_#_2)); + Spaceline("-part3d"+nm,dt,options); +); + +Joincrvs3d(nm,plotstrL):=Joincrvs3d(nm,plotstrL,[]);//16.10.06 +Joincrvs3d(nm,plotstrL,options):=( +//help:Joincrvs3d("1",["bz3da1","bz3da1"]); + regional(PtL,Eps,QdL,Flg,Ni,Qd,pP,pS,pQ,pR,rMN, + opcindy,tmp,tmp1,tmp2,str,name2,name3,Ltype,Noflg); + name2="join2d"+nm; + name3="join3d"+nm; + QdL=[]; + forall(plotstrL,str, + if(isstring(str), + tmp=parse(str); + , + tmp=str; + ); + QdL=append(QdL,tmp); + ); + Eps=10^(-4); + tmp=Divoptions(options); + Ltype=tmp_1; + Noflg=tmp_2; + opcindy=tmp_(length(tmp)); + tmp1=tmp_6; + if(length(tmp1)>0,Eps=tmp1_1); + Flg=0; + if(length(QdL)==0, + PtL=[]; + Flg=1; + ); + if(Flg==0, + PtL=QdL_1; + forall(2..length(QdL),Ni, + Qd=QdL_Ni; + if(length(Qd)>1, + pP=PtL_1; + pS=PtL_(length(PtL)); + pQ=Qd_1; + pR=Qd_(length(Qd)); + rMN=min([norm(pP-pQ),norm(pP-pR), + norm(pS-pQ),norm(pS-pR)]); + if(rMN==norm(pP-pR), + Qd=reverse(Qd); + , + if(rMN==norm(pS-pQ), + PtL=reverse(PtL); + , + if(rMN==norm(pS-pR), + PtL=reverse(PtL); + Qd=reverse(Qd); + ); + ); + ); + ); + if(rMN>Eps, + PtL=concat(PtL,Qd); + , + PtL=concat(PtL,Qd_(2..length(Qd))); + ); + ); + ); + if(Noflg<3, + println("generate Joincurves3d "+name3); + tmp=name3+"="+textformat(PtL,5); + parse(tmp); + tmp1=Projpara(name3,["nodata"]); + tmp=name2+"="+textformat(tmp1,5); + parse(tmp); + tmp=text(plotstrL); + tmp=substring(tmp,1,length(tmp)-1); + tmp=name3+"=Joincrvs("+tmp+")"; + GLIST=append(GLIST,tmp); + tmp=name2+"=Projpara("+name3+")"; + GLIST=append(GLIST,tmp); + ); + if(Noflg<2, + if(isstring(Ltype), + Ltype=GetLinestyle(text(Noflg)+Ltype,name2); + , + if(Noflg==1,Ltype=0); + ); + GCLIST=append(GCLIST,[name2,Ltype,opcindy]); + if(SUBSCR==1, // 15.02.11 + tmp=parse(name2); // 15.08.17 + if(length(tmp)>0, + Subgraph(name3,opcindy); + ); // 15.08.17 + ); + ); + PtL; +); + +Xyzax3data(nm,Xrange,Yrange,Zrange):= + Xyzax3data(nm,Xrange,Yrange,Zrange,[]); +Xyzax3data(nm,Xrange,Yrange,Zrange,options):=( +//help:Xyzax3data("","x=[-5,5]","y=[-5,5]","z=[-5,5]"); +//help:Xyzax3data(Options2=["a1","Osw"]); + regional(name2,name3,Out,tmp,tmp1,tmp2,eqL,reL,strL, + opstr,opcindy,Ltype,Noflg,Axname,Arrow,Origin); + name2="ax2d"+nm; + name3="ax3d"+nm; + tmp=Divoptions(options); + Ltype=tmp_1; + Noflg=tmp_2; + eqL=tmp_5; + reL=tmp_6; + strL=tmp_7; + opcindy=tmp_(length(tmp)); + Axname=1; + Arrow=0; // 16.08.14 + Origin=""; // 16.08.14 + if(length(reL)>0, + Axname=reL_1; + ); + forall(strL, // 16.08.14from + tmp1=Toupper(substring(#,0,1)); + if(tmp1=="A", + tmp=substring(#,1,length(#)); + if(length(tmp)>0, + Arrow=parse(tmp); + , + Arrow=1; + ); + ); + if(tmp1=="O", + tmp=indexof(#,","); + if(tmp>0, + Origin=substring(#,tmp,length(#)); + , + tmp=substring(#,1,length(#)); + if(length(tmp)>0, + Origin=tmp; + , + Origin="sw"; + ); + ); + ); + ); // 16.08.14until + tmp1=indexof(Xrange,"="); + tmp=parse(substring(Xrange,tmp1,length(Xrange))); + Px=[tmp_1,0,0]; Qx=[tmp_2,0,0]; + tmp1=indexof(Yrange,"="); + tmp=parse(substring(Yrange,tmp1,length(Yrange))); + Py=[0,tmp_1,0]; Qy=[0,tmp_2,0]; + tmp1=indexof(Zrange,"="); + tmp=parse(substring(Zrange,tmp1,length(Zrange))); + Pz=[0,0,tmp_1]; Qz=[0,0,tmp_2]; + Out=[[Px,Qx],[Py,Qy],[Pz,Qz]]; + if(Axname>0, + Xyzaxparaname(Xrange,Yrange,Zrange,[Axname]); + ); + if(Noflg<3, + println("generate axes "+name3); + tmp=name3+"="+textformat(Out,5); + parse(tmp); + tmp1=Projpara([name3],["nodata"]); + tmp=name2+"="+textformat(tmp1,5); + parse(tmp); + tmp=name3+"=Xyzax3data("+ + Dq+Xrange+Dq+","+Dq+Yrange+Dq+","+Dq+Zrange+Dq+")"; + GLIST=append(GLIST,tmp); + tmp=name2+"=Projpara("+name3+")"; + GLIST=append(GLIST,tmp); + ); + if(Noflg<2, + if(isstring(Ltype), + Ltype=GetLinestyle(text(Noflg)+Ltype,name2); + , + if(Noflg==1,Ltype=0); + ); + GCLIST=append(GCLIST,[name2,Ltype,opcindy]); + if(Noflg<1, // 16.08.14from + if(Arrow>0, + tmp1=Parapt(Px); tmp2=Parapt(Qx); + Arrowhead(tmp2,tmp2-tmp1,[Arrow]); + tmp1=Parapt(Py); tmp2=Parapt(Qy); + Arrowhead(tmp2,tmp2-tmp1,[Arrow]); + tmp1=Parapt(Pz); tmp2=Parapt(Qz); + Arrowhead(tmp2,tmp2-tmp1,[Arrow]); + ); + if(length(Origin)>0, + Letter([Parapt([0,0,0]),Origin,"O"]); + ); + ); // 16.08.14until + if(SUBSCR==1, // 15.02.11 + Subgraph(name3,opcindy); + ); + ); + Out; +); + +Xyzaxparaname(Xrange,Yrange,Zrange):= + Xyzaxparaname(Xrange,Yrange,Zrange,[]); +Xyzaxparaname(Xrange,Yrange,Zrange,options):=( + regional(tmp,tmp1,tmp2,Eps,Dr,Noflg,Xname,Yname,Zname, + px,qx,py,qy,pz,qz,ph,qh,rr,ch); + Eps=10.0^(-6); + Dr=0.19*1000/2.54/MilliIn; + Noflg=0; + forall(options, + if(isreal(#),Dr=Dr*#); + ); + tmp=indexof(Xrange,"="); + Xname=substring(Xrange,0,tmp-1); + tmp=parse(substring(Xrange,tmp,length(Xrange))); + px=[tmp_1,0,0]; qx=[tmp_2,0,0]; + tmp=indexof(Yrange,"="); + Yname=substring(Yrange,0,tmp-1); + tmp=parse(substring(Yrange,tmp,length(Yrange))); + py=[0,tmp_1,0]; qy=[0,tmp_2,0]; + tmp=indexof(Zrange,"="); + Zname=substring(Zrange,0,tmp-1); + tmp=parse(substring(Zrange,tmp,length(Zrange))); + pz=[0,0,tmp_1]; qz=[0,0,tmp_2]; + ph=Parapt(px); qh=Parapt(qx); rr=|ph-qh|; + if(rr>Eps, + ch=qh+Dr/rr*(qh-ph); + Expr(ch,"c",Xname); + ); + ph=Parapt(py); qh=Parapt(qy); rr=|ph-qh|; + if(rr>Eps, + ch=qh+Dr/rr*(qh-ph); + Expr(ch,"c",Yname); + ); + ph=Parapt(pz); qh=Parapt(qz); rr=|ph-qh|; + if(rr>Eps, + ch=qh+Dr/rr*(qh-ph); + Expr(ch,"c",Zname); + ); +); + +Datalist3d():=( +//help:Datalist3d(); + regional(out,tmp,tmp2,tmp3); + tmp=apply(GCLIST,#_1); + tmp=select(tmp,indexof(#,"2d")>0); + tmp2=select(tmp,indexof(#,"sub")==0); + tmp3=apply(tmp2,replace(#,"2d","3d")); + out=tmp3; +); + +Datalist2d():=( +//help:Datalist2d(); + regional(out,tmp,tmp2,tmp3); + tmp=apply(GCLIST,#_1); + tmp=select(tmp,indexof(#,"2d")>0); + tmp2=select(tmp,indexof(#,"sub")==0); +// tmp3=apply(tmp2,replace(#,"2d","3d")); + out=tmp2; +); + +Embed(nm,Pd2str,funstr,varstr):= + Embed(nm,Pd2str,funstr,varstr,[]); +Embed(nm,Pd2str,funstr,varstr,options):=( +//help:Embed("1",["gr1"],"A3d+x*(B3d-A3d)+y*(C3d-A3d)","[x,y]"); + regional(name2,name3,Pd2L,Pd2,tmp,tmp1,xstr,ystr, + Ltype,Noflg,opstr,opcindy,Out); + name2="em2d"+nm; + name3="em3d"+nm; + if(!islist(Pd2str),Pd2L=[Pd2str],Pd2L=Pd2str); // 15.03.06 + tmp1=[]; // 15.10.31 + forall(Pd2L, + if(isstring(#),tmp=parse(#),tmp=#); + if(MeasureDepth(tmp)==2, + tmp1=concat(tmp1,tmp); + ); + if(MeasureDepth(tmp)==1, + tmp1=append(tmp1,tmp); + ); + ); + Pd2L=tmp1; + tmp=substring(varstr,0,1); + if(tmp=="[" % tmp=="(", + tmp1=substring(varstr,1,length(varstr)-1); + , + tmp1=varstr; + ); + tmp=indexof(tmp1,","); + xstr=substring(tmp1,0,tmp-1); + ystr=substring(tmp1,tmp,length(tmp1)); + tmp=Divoptions(options); + Ltype=tmp_1; + Noflg=tmp_2; + opcindy=tmp_(length(tmp)); + Out=[]; + forall(Pd2L,Pd2, + tmp1=[]; + forall(Pd2, + tmp=Assign(funstr,xstr,"("+textformat(#_1,5)+")"); + tmp=Assign(tmp,ystr,"("+textformat(#_2,5)+")"); + tmp=parse(tmp); + tmp1=append(tmp1,tmp); + ); + Out=append(Out,tmp1); + ); + if(length(Out)==1, + Out=Out_1; + ); + if(Noflg<3, + println("generate Embed "+name3); + if(length(Out)>0, + tmp=name3+"="+textformat(Out,5); + parse(tmp); + tmp1=Projpara(name3,["nodata"]); + tmp=name2+"="+textformat(tmp1,5); + parse(tmp); + ); + if(!islist(Pd2str), + tmp=Pd2str; + , + tmp=text(Pd2str); + tmp="list("+substring(tmp,1,length(tmp)-1)+")"; + ); + tmp=name3+"=Embed("+tmp+",'"+funstr+"','"+varstr+"'"+")"; + GLIST=append(GLIST,tmp); + tmp=name2+"=Projpara("+name3+")"; + GLIST=append(GLIST,tmp); + ); + if(Noflg<2, + if(isstring(Ltype), + Ltype=GetLinestyle(text(Noflg)+Ltype,name2); + , + if(Noflg==1,Ltype=0); + ); + if(length(Out)>0, + GCLIST=append(GCLIST,[name2,Ltype,opcindy]); + if(SUBSCR==1, // 15.02.11 + Subgraph(name3,opcindy); + ); + ); + ); + Out; +); + +Rotatept3d(point,w1,w2):=Rotate3pt(point,w1,w2); +Rotatept3d(point,w1,w2,center):=Rotate3pt(point,w1,w2,center); +//help:Rotatept3d(pt3d,[0,0,1],pi/2); +//help:Rotatept3d(pt3d,[0,0,1],pi/2,[1,1,1]); +Rotate3pt(point,w1,w2):=Rotate3pt(point,w1,w2,[0,0,0]); +Rotate3pt(point,w1,w2,center):=( +//help:Rotate3pt(pt3d,[0,0,1],pi/2); +//help:Rotate3pt(pt3d,[0,0,1],pi/2,[1,1,1]); + regional(Eps,ct,st,v3,v1,v2,Ans,ns,PtL,num, + pt,tmp,tmp1,tmp2,Retflg,x,y,z,xx,yy,zz,flg); + Eps=10^(-4); + Retflg=0; + if(length(w2)==1, + ct=cos(w2); + st=sin(w2); + v3=1/|w1|*w1; + if(v3_1==0, + tmp=[1,0,0]; + , + tmp=[0,1,0]; + ); + w1=[tmp_2*v3_3-tmp_3*v3_2, + tmp_3*v3_1-tmp_1*v3_3, + tmp_1*v3_2-tmp_2*v3_1]; + v1=1/|w1|*w1; + v2=[v3_2*v1_3-v3_3*v1_2, + v3_3*v1_1-v3_1*v1_3, + v3_1*v1_2-v3_2*v1_1]; + , + tmp=[w1_2*w2_3-w1_3*w2_2, + w1_3*w2_1-w1_1*w2_3, + w1_1*w2_2-w1_2*w2_1]; + if(|tmp|<Eps, + Ans=point; + Retflg=1; + ); + if(Retflg==0, + v1=1/|w1|*w1; + ns=v1_1*w2_1+v1_2*w2_2+v1_3*w2_3; + tmp=w2-ns*v1; + v2=1/|tmp|*tmp; + tmp=[v1_2*v2_3-v1_3*v2_2, + v1_3*v2_1-v1_1*v2_3, + v1_1*v2_2-v1_2*v2_1]; + v3=1/|tmp|*tmp; + ct=ns/|w2|; + st=sqrt(1-ct^2); + ); + ); + if(Retflg==0, + if(|tmp|<Eps, + Ans=point; + Retflg=1; + ); + ); + if(Retflg==0, + if(MeasureDepth(point)>0, + PtL=point; + , + PtL=[point]; + ); + Ans=[]; + flg=0; + forall(1..length(PtL),num, + pt=PtL_num; + if(pt_1=="inf", + Ans=append(Ans,["inf"]); + flg=1; + ); + if(flg==0, + x=pt_1-center_1; y=pt_2-center_2; z=pt_3-center_3; + xx=((v1_1*ct+v2_1*st)*v1_1+ (-v1_1*st+v2_1*ct)*v2_1+v3_1^2)*x + +((v1_1*ct+v2_1*st)*v1_2+(-v1_1*st+v2_1*ct)*v2_2+v3_1*v3_2)*y + +((v1_1*ct+v2_1*st)*v1_3+(-v1_1*st+v2_1*ct)*v2_3+v3_1*v3_3)*z; + yy=((v1_2*ct+v2_2*st)*v1_1+(-v1_2*st+v2_2*ct)*v2_1+v3_1*v3_2)*x + +((v1_2*ct+v2_2*st)*v1_2+(-v1_2*st+v2_2*ct)*v2_2+v3_2^2)*y + +((v1_2*ct+v2_2*st)*v1_3+(-v1_2*st+v2_2*ct)*v2_3+v3_2*v3_3)*z; + zz=((v1_3*ct+v2_3*st)*v1_1+(-v1_3*st+v2_3*ct)*v2_1+v3_1*v3_3)*x + +((v1_3*ct+v2_3*st)*v1_2+(-v1_3*st+v2_3*ct)*v2_2+v3_2*v3_3)*y + +((v1_3*ct+v2_3*st)*v1_3+(-v1_3*st+v2_3*ct)*v2_3+v3_3^2)*z; + Ans=append(Ans,center+[xx,yy,zz]); + ); + ); + if(length(Ans)==1, + Ans=Ans_1; + ); + ); + Ans; +); + +Rotatedata3d(nm,P3data,w1,w2):=Rotate3data(nm,P3data,w1,w2); +Rotatedata3d(nm,P3data,w1,w2,options):= + Rotate3data(nm,P3data,w1,w2,options); +//help:Rotatedata3d("1",["sl3d1","sc3d2"],[0,0,1],pi/3); +Rotate3data(nm,P3data,w1,w2):=Rotate3data(nm,P3data,w1,w2,[]); +Rotate3data(nm,P3data,w1,w2,options):=( + regional(name3,name2,center,pdata,Pd3,Pd,Out,tmp,tmp1, + Ltype,Noflg,opcindy,opstr); + name3="rot3d"+nm; + name2="rot2d"+nm; + center=[0,0,0]; + tmp=Divoptions(options); + Ltype=tmp_1; + Noflg=tmp_2; + opstr=tmp_(length(tmp)-1); + opcindy=tmp_(length(tmp)); + tmp1=tmp_6; + if(length(tmp1)>0, + center=tmp1_1; + ); + if(islist(P3data) & isstring(P3data_1),Pd3=P3data,Pd3=[P3data]); + Out=[]; + forall(Pd3,Pd, + if(isstring(Pd),Pd=parse(Pd)); + if(MeasureDepth(Pd)==1,Pd=[Pd]); + Ans=[]; + forall(Pd, + tmp=Rotate3pt(#,w1,w2,center); + Ans=append(Ans,tmp); + ); + Out=append(Out,Ans); + ); + Out=Flattenlist(Out); + if(length(Out)==1,Out=Out_1); + if(Noflg<3, + println("generate Rotate3data "+name3); + tmp=name3+"="+textformat(Out,5); + parse(tmp); + tmp1=Projpara(name3,["nodata"]); + tmp=name2+"="+textformat(tmp1,5); + parse(tmp); + tmp=textformat(P3data,5); // 17.12.23 + tmp=RSform(tmp); // 17.12.23 +// tmp=replace(tmp,"[","list("); +// tmp=replace(tmp,"]",")"); + tmp=name3+"=Rotate3data("+tmp+"," + +textformat(w1,5)+","+textformat(w2,5)+opstr+")"; + GLIST=append(GLIST,tmp); + tmp=name2+"=Projpara("+name3+")"; + GLIST=append(GLIST,tmp); + ); + if(Noflg<2, + if(isstring(Ltype), + Ltype=GetLinestyle(text(Noflg)+Ltype,name2); + , + if(Noflg==1,Ltype=0); + ); + GCLIST=append(GCLIST,[name2,Ltype,opcindy]); + if(SUBSCR==1, // 15.02.11 + Subgraph(name3,opcindy); + ); + ); + Out; +); + +Translatept3d(point,w1):=Translate3pt(point,w1); +//help:Translatept3d(pt3d,[1,2,3]); +Translate3pt(point,w1):=( + regional(Eps,Ans,PtL,pt,num,xx,yy,zz,flg); + Eps=10^(-4); + if(MeasureDepth(point)>0, + PtL=point; + , + PtL=[point]; + ); + Ans=[]; + flg=0; + forall(1..length(PtL),num, + pt=PtL_num; + if(pt_1=="inf", + Ans=append(Ans,["inf"]); + flg=1; + ); + if(flg==0, + xx=pt_1+w1_1; yy=pt_2+w1_2; zz=pt_3+w1_3; + Ans=append(Ans,[xx,yy,zz]); + ); + ); + if(length(Ans)==1, + Ans=Ans_1; + ); + Ans; +); + +Translatedata3d(nm,P3data,w1):=Translate3data(nm,P3data,w1); +Translatedata3d(nm,P3data,w1,options):= + Translate3data(nm,P3data,w1,options); +//help:Translatedata3d("1",["sl3d1"],[1,2,3]); +Translate3data(nm,P3data,w1):=Translate3data(nm,P3data,w1,[]); +Translate3data(nm,P3data,w1,options):=( + regional(name3,name2,pdata,Pd3,Pd,Out,tmp,tmp1, + Ltype,Noflg,opcindy); + name3="tra3d"+nm; + name2="tra2d"+nm; + tmp=Divoptions(options); + Ltype=tmp_1; + Noflg=tmp_2; + opcindy=tmp_(length(tmp)); + if(islist(P3data) & isstring(P3data_1),Pd3=P3data,Pd3=[P3data]); + Out=[]; + forall(Pd3,Pd, + if(isstring(Pd),Pd=parse(Pd)); + if(MeasureDepth(Pd)==1,Pd=[Pd]); + Ans=[]; + forall(Pd, + tmp=Translate3pt(#,w1); + Ans=append(Ans,tmp); + ); + Out=append(Out,Ans); + ); + Out=Flattenlist(Out); + if(length(Out)==1,Out=Out_1); + if(Noflg<3, + println("generate Translate3data "+name3); + tmp=name3+"="+textformat(Out,5); + parse(tmp); + tmp1=Projpara(name3,["nodata"]); + tmp=name2+"="+textformat(tmp1,5); + parse(tmp); + tmp=textformat(P3data,5); // 17.12.23 + tmp=RSform(tmp); // 17.12.23 +// tmp=text(P3data); +// tmp=replace(tmp,"[","list("); +// tmp=replace(tmp,"]",")"); + tmp=name3+"=Translate3data("+tmp+","+textformat(w1,5)+")"; + GLIST=append(GLIST,tmp); + tmp=name2+"=Projpara("+name3+")"; + GLIST=append(GLIST,tmp); + ); + if(Noflg<2, + if(isstring(Ltype), + Ltype=GetLinestyle(text(Noflg)+Ltype,name2); + , + if(Noflg==1,Ltype=0); + ); + GCLIST=append(GCLIST,[name2,Ltype,opcindy]); + if(SUBSCR==1, // 15.02.11 + Subgraph(name3,opcindy); + ); + ); + Out; +); + +Reflectpoint3d(point,vecL):=Reflect3point(point,vecL); +Reflectpt3d(point,vecL):=Reflect3pt(point,vecL); +//help:Reflectpoint3d(pt3d,[v1,v2,v3]); +Reflect3point(point,vecL):=Reflect3pt(point,vecL); +Reflect3pt(point,vecL):=( + regional(ans,v1,v2,v3,tmp,tmp1); + if(length(vecL)==1, + v1=vecL_1; + ans=2*v1-point; + ); + if(length(vecL)==2, + v1=vecL_1; + v2=vecL_2; + v3=(v2-v1)/|v2-v1|; + tmp=v1+Dotprod(point-v1,v3)*v3; + ans=2*tmp-point; + ); + if(length(vecL)==3, + v1=vecL_1; + v2=vecL_2; + v3=vecL_3; + tmp=Crossprod(v2-v1,v3-v1); + tmp1=point-Dotprod(tmp,point-v1)/|tmp|^2*tmp; + ans=2*tmp1-point; + ); + ans; +); + +Xyzcoord(X,Y,z):=( +//help:Xyzcoord(A.x,A.y,Az.y); + regional(Eps,x3d,y3d,z3d); + x3d=(-X*sin(PHI)*cos(THETA)-Y*cos(PHI)+z*cos(PHI)*sin(THETA))/cos(THETA); + y3d=(X*cos(PHI)*cos(THETA)-Y*sin(PHI)+z*sin(PHI)*sin(THETA))/cos(THETA); + z3d=z; + [x3d,y3d,z3d]; +); + +PutonCurve3d(name,pdstr):=( +//help:PutonCurve3d("T","sc3d1"); + regional(pt,pd2str,tmp,tmp1,tmp2); + pd2str=replace(pdstr,"3d","2d"); + PutonCurve(name,pd2str); + pt=parse(name+".xy"); + tmp=Nearestpt(pt,pd2str); // 15.03.13 + tmp1=ParamonCurve(tmp_1,tmp_2,pd2str); + tmp="sub"+pd2str; + tmp2=PointonCurve(tmp1,tmp); + pt=append(pt,tmp2_2); + pt=Xyzcoord(pt_1,pt_2,pt_3); // 15.03.13 + tmp=name+"z.xy="+textformat(tmp2,5); + parse(tmp); + VLIST=select(VLIST,#_1!=name+"3d"); + Defvar(name+"3d",pt); +); + +Mkpointlist():=Mkpointlist([]); //16.11.12 +Mkpointlist(options):=( //16.11.12 + regional(Eps,pos,ptL,plist,ilist,plistrest, + inforest,free,pt,pt3,ptz,par,vlistpre, + tmp,tmp1,tmp2,tmp3,tmp4,p1,p2,flg); + Eps=10^(-4); + tmp=Finddef(NE); + free=tmp_1; + pos=[NE.x+1,NE.y]; + tmp=remove(allpoints(),[NE,SW,TH,FI]); + tmp=remove(tmp,options); //16.11.12 + plist=select(tmp, + substring(text(#),length(text(#))-1,length(text(#)))!="z" + ); + if(SUBSCR==0,plist=[]); + ptL=[]; + plistrest=[]; + inforest=[]; + forall(plist,pt, + inspect(pt,"ptsize",3); + inspect(pt,"color",2); + inspect(pt,"textsize",TSIZE); + ptz=text(pt)+"z"; + tmp=Finddef(pt); + if(indexof(tmp_1,free)>0, // free point + tmp=select(VLIST,#_1==text(pt)+"3d"); + if(length(tmp)==0, + tmp=pt.x+NE.x-SW.x; + Putpoint(ptz,[tmp,0],[tmp,parse(ptz+".y")]); + pt3=Xyzcoord(pt.x,pt.y,parse(text(ptz)+".y")); + Defvar(text(pt)+"3d",pt3); + Defvar(text(pt)+"fix",0); + vlistpre=VLIST; //16.08.20 + ); + flg=0; + if(isselected(pt), + if(parse(text(pt)+"fix")!=1, // 15.03.01 + tmp=pt.x+NE.x-SW.x; + Putpoint(ptz,[tmp,0],[tmp,parse(ptz+".y")]); + pt3=Xyzcoord(pt.x,pt.y,parse(text(ptz)+".y")); + VLIST=select(VLIST,#_1!=text(pt)+"3d"); + Defvar(text(pt)+"3d",pt3); + vlistpre=VLIST; //16.08.20 + flg=1; + ); + ); + inspect(parse(ptz),"ptsize",3); + inspect(parse(ptz),"color",3); + inspect(parse(ptz),"textsize",TSIZEZ); + if(isselected(parse(ptz)), + if(parse(ptz+"fix")!=1, // 15.03.01 + tmp=select(vlistpre,#_1==text(pt)+"3d"); //16.08.20 + pt3=tmp_1_2; + pt3_3=parse(ptz+".y"); + pt.xy=Parapt(pt3); + tmp=ptz+".x=pt.x+NE.x-SW.x"; + parse(tmp); + VLIST=select(VLIST,#_1!=text(pt)+"3d"); + Defvar(text(pt)+"3d",pt3); + flg=2; + ); + ); + if(flg==0, + tmp=select(VLIST,#_1==text(pt)+"3d"); + if(length(tmp)>0, //17.10.07 + pt3=tmp_1_2; + pt.xy=Parapt(pt3); + tmp=ptz+".x=pt.x+NE.x-SW.x"; + parse(tmp); + ); //17.10.07 + ); + if(isselected(pt) % isselected(parse(ptz)), + drawtext(pos,text(pt3)); + ); + if(!contains(["p","q"],text(pt)), + ptL=append(ptL,pt); + ); + , + tmp=Findgeoinfo(pt); + tmp1=[parse(tmp_1),parse(tmp_2),parse(tmp_3)]; + plistrest=append(plistrest,pt); + inforest=append(inforest,tmp); + ); + ); + if(length(plistrest)>0, + tmp=Sortpointlist([plistrest,inforest]); + plist=tmp_1; + ilist=tmp_2; + forall(1..length(plist), + pt=plist_#; + ptz=text(pt)+"z"; + tmp=ilist_#; + p1=parse(tmp_3); + p2=p1+parse(tmp_2)-parse(tmp_1); + tmp1=p2-p1; + tmp2=pt-p1; + if(abs(tmp1_1)>abs(tmp1_2), + par=tmp2_1/tmp1_1; + , + par=tmp2_2/tmp1_2; + ); + tmp=ilist_#; + tmp1=parse(tmp_1+"3d"); + tmp2=parse(tmp_2+"3d"); + tmp3=parse(tmp_3+"3d"); + tmp1=(1-par)*tmp3+par*(tmp3+tmp2-tmp1); + Putpoint(ptz,[pt.x+NE.x-SW.x,tmp1_3]); + inspect(parse(ptz),"ptsize",3); + inspect(parse(ptz),"color",3); + inspect(parse(ptz),"textsize",TSIZEZ); + pt3=Xyzcoord(pt.x,pt.y,parse(text(ptz)+".y")); + VLIST=select(VLIST,#_1!=tmp1+"3d"); + Defvar(text(pt)+"3d",pt3); + vlistpre=VLIST; //16.08.20 + if(isselected(pt) % isselected(parse(ptz)), + drawtext(pos,text(pt3)); + ); + if(!contains(["p","q"],text(pt)), + ptL=append(ptL,pt); + ); + ); + ); + ptL; +); + +Mkseg3d():=Mkseg3d([]); +Mkseg3d(options):=( + regional(seg,nmseg,def,ptA,ptB,segL,opstr,opcindy, + name,strg,Ltype,Noflg,tht,tmp,tmp1,tmp2,tmp3); + name="geoseg3d"; + strg=name+"=list("; + tmp=Divoptions(options); + Ltype=tmp_1; + Noflg=tmp_2; + opcindy=tmp_(length(tmp)); + segL=[]; + forall(allsegments(),seg, + inspect(seg,"labeled",false); + tmp=Finddef(seg); + def=tmp_1; + ptA=tmp_2; + ptB=tmp_3; + if(ispoint(parse(ptA)) & ispoint(parse(ptB)), + tmp1=select(VLIST,indexof(#_1,ptA+"3d")>0); + tmp2=select(VLIST,indexof(#_1,ptB+"3d")>0); + if(length(tmp1)>0 & length(tmp2)>0, + tmp1="["+ptA+"3d,"+ptB+"3d]"; + nmseg=ptA+ptB; +// Spaceline(nmseg,parse(tmp1),append(options,"Msg=nodisp")); //15.06.15 + Spaceline("-"+nmseg+"3d",[ptA+"3d",ptB+"3d"], // 16.04.07 + append(options,"Msg=nodisp")); //15.06.15 + segL=append(segL,nmseg+"3d");// 16.04.07 + strg=strg+nmseg+"3d,";// 16.04.07 + ); + ); + ); + println("generate totally "+name); + if(length(segL)>0, // 15.03.06 + strg=substring(strg,0,length(strg)-1)+")"; + if(Noflg<3, + GLIST=append(GLIST,strg); + ); + tmp1=apply(segL,Dq+#+Dq); //15.03.02 + tmp=name+"="+text(tmp1); + parse(tmp); + ); + segL; +); + +Ptseg3data():=Ptseg3data([]); +//help:Ptseg3data(); +//help:Ptseg3data([A,B]); +Ptseg3data(options):=( + regional(pt,pt3,plist,tmp,tmp1,tmp2); + if(isselected(TH) % isselected(FI), + tmp=remove(allpoints(),[NE,SW,TH,FI]); + tmp=remove(tmp,options); //16.11.12 + tmp=apply(tmp,text(#)); + plist=select(tmp,substring(#,length(#)-1,length(#))!="z"); + forall(plist,pt, + tmp1=text(pt); + tmp=select(VLIST,#_1==tmp1+"3d"); //17.10.07 + if(length(tmp)>0, + pt3=tmp_1_2; + tmp=tmp1+".xy=Parapt("+pt3+")_[1,2];"; + parse(tmp); + if(SUBSCR==1, + tmp=tmp1+"z"+".x=NE.x-SW.x+"+tmp1+".x"; + parse(tmp); + ); + ); + ); + , + Mkpointlist(options); // 16.12.18 + ); + forall(alllines(), + #.color=[0.5,0.5,1]; + ); + SEG3dlist=Mkseg3d(options); + SEG3dlist; +); + +Putonseg3d(name,ptL):=Putonseg3d(name,ptL_1,ptL_2,[]); +Putonseg3d(name,Arg1,Arg2):=( + if(islist(Arg1), + Putonseg3d(name,Arg1_1,Arg1_2,Arg2); + , + Putonseg3d(name,Arg1,Arg2,[]); + ); +); +Putonseg3d(name,pt1,pt2,options):=( +//help:Putonseg3d("C",[A,B]); +//help:Putonseg3d("C",A,B); + regional(par,pn1,pn2,tmp,tmp1,tmp2,tmp3); + par=0.5; + tmp=divoptions(options); + if(length(tmp_6)>0, + par=tmp_6_1; + ); + Putonseg(name,pt1,pt2,[par]); + inspect(parse(name),"ptsize",3); + inspect(parse(name),"color",2); + inspect(parse(name),"textsize",TSIZEZ); + Putpoint(name+"z",[parse(name+".x"),0]); + inspect(parse(name+"z"),"ptsize",3); + inspect(parse(name+"z"),"color",3); + inspect(parse(name+"z"),"textsize",TSIZEZ); + pn1=text(pt1); + pn2=text(pt2); + tmp1=replace("PTCz.y=PTAz.y+|PTC-PTA|/|PTB-PTA|*(PTBz.y-PTAz.y)","PTC",name); + tmp1=replace(tmp1,"PTA",pn1); + tmp1=replace(tmp1,"PTB",pn2); + tmp2=replace("PTCz.x=PTAz.x+|PTC-PTA|/|PTB-PTA|*(PTBz.x-PTAz.x)","PTC",name); + tmp2=replace(tmp2,"PTA",pn1); + tmp2=replace(tmp2,"PTB",pn2); + parse(tmp2); + parse(tmp1); + tmp1=parse(name+".x"); + tmp2=parse(name+".y"); + tmp3=parse(name+"z.y"); + tmp=Xyzcoord(tmp1,tmp2,tmp3); + Defvar(name+"3d",tmp); +); + +Putpoint3d(ptslist):=Putpoint3d(ptslist,"",0); +Putpoint3d(Arg1,Arg2):=( // 16.03.02 from + if(islist(Arg1), + Putpoint3d(Arg1,Arg2,0); + , + Putpoint3d(Arg1,Arg2,"fix"); + ); +); +Putpoint3d(Arg1,Arg2,Arg3):=( +//help:Putpoint3d(["A",[2,1,3]]); +//help:Putpoint3d(["A",[2,1,3]],"fix"); +//help:Putpoint3d("A",[2,1,3]); +//help:Putpoint3d(["A",[2,1,3]],["fix"]); + regional(nn,kk,pt,pt3,ptslist,fixstr,tmp,tmp1,tmp2,tmp3); //16.08.19 + if(isstring(Arg1), + ptslist=[Arg1,Arg2]; + fixstr=Arg3; + , + ptslist=Arg1; + fixstr=Arg2; + ); + if(islist(fixstr),fixstr=fixstr_1);// 16.03.02 until + nn=length(ptslist)/2; + forall(1..nn,kk, // 16.08.19from + tmp1=ptslist_(2*kk-1); + pt3=ptslist_(2*kk); // 16.08.19until + VLIST=select(VLIST,#_1!=tmp1+"3d"); + tmp2=parse(tmp1); + if(ispoint(tmp2), // 16.05.26from + if(islist(fixstr),tmp=fixstr_1,tmp=fixstr); + tmp=Toupper(tmp); + if(tmp!="FIX", + tmp=Xyzcoord(tmp2.x,tmp2.y,parse(tmp1+"z").y); + , + tmp=pt3; + ); + Defvar(tmp1+"3d",tmp); + , + Defvar(tmp1+"3d",pt3); + ); // 16.05.26until + Defvar(tmp1+"fix",0); + pt=Parapt(pt3); + Putpoint(tmp1,pt,parse(tmp1+".xy")); + inspect(parse(tmp1),"ptsize",3); + inspect(parse(tmp1),"color",2); + inspect(parse(tmp1),"textsize",TSIZE); + if(SUBSCR==1, + tmp2=tmp1+"z"; + tmp=[pt.x+NE.x-SW.x,pt3_3]; + tmp1="[NE.x-SW.x+"+tmp1+".x,"+tmp2+"y]"; + Putpoint(tmp2,tmp,parse(tmp1)); + inspect(parse(tmp2),"ptsize",3); + inspect(parse(tmp2),"color",3); + inspect(parse(tmp2),"textsize",TSIZEZ); + ); + ); + if(islist(fixstr),tmp=fixstr_1,tmp=fixstr); + if(tmp=="fix" % tmp=="Fix", + Fixpoint3d(ptslist); + ); +); + +Fixpoint3d(ptlist):=( +// help:Fixpoint3d(["O",[0,0,0],"X",[1,0,0]]); + regional(name,pt3,pt2,tmp,tmp1,tmp2); + forall(1..(length(ptlist)/2), + name=ptlist_(2*#-1); + Defvar(name+"fix",1); + pt3=ptlist_(2*#); + pt2=Parapt(pt3); + tmp1=textformat(pt2_1,5); + tmp2=textformat(pt2_2,5); + tmp=name+".xy=["+tmp1+","+tmp2+"]"; + parse(tmp); + tmp1=name+".x+NE.x-SW.x"; + tmp2=textformat(pt3_3,5); + tmp=name+"z.xy=["+tmp1+","+tmp2+"];"; + parse(tmp); + ); +); + +Perppt(name,ptstr,pLstr):=Putperp(name,ptstr,pLstr,"draw"); +Perppt(name,ptstr,pLstr,option):=Putperp(name,ptstr,pLstr,option); +Putperp(name,ptstr,pLstr):=Putperp(name,ptstr,pLstr,"put"); +Putperp(name,ptstr,pLstr,option):=( +//help:Perppt("N","O","A-B-C"); +//help:Perppt("N","O","A-B-C","put"); +//help:Perppt("N","O","A-B","none"); + regional(out,Eps,N3d,sgstr,pP,pA,pB,pC,tmp,tmp1,flgpL); + Eps=10^(-4); + pP=parse(ptstr+"3d"); + tmp=indexof(pLstr,"-"); + pA=parse(substring(pLstr,0,tmp-1)+"3d"); + tmp1=substring(pLstr,tmp,length(pLstr)); + tmp=indexof(tmp1,"-"); + if(tmp>0, + pB=parse(substring(tmp1,0,tmp-1)+"3d"); + pC=parse(substring(tmp1,tmp,length(tmp1))+"3d"); + flgpL=1; + , + pB=parse(tmp1+"3d"); + flgpL=0; + ); + if(flgpL==1, + tmp=Crossprod(pB-pA,pC-pA); + if(abs(tmp)<Eps, + err("not a plane"); + , + tmp=tmp/|tmp|; + N3d=pP+tmp; + Defvar("tmp3d",N3d); // temporary + sgstr=ptstr+"-tmp"; + tmp=IntersectsgpL(name,sgstr,pLstr,"none"); + VLIST=select(VLIST,#_1!="tmp3d"); + out=tmp_1; + Defvar(name+"3d",tmp_1); + ); + , + if(|pB-pA|<Eps, + err("on the line"); + , + tmp1=(pB-pA)/|pB-pA|; + tmp=Dotprod(pP-pA,tmp1); + out=pA+tmp*tmp1; + Defvar(name+"3d",out); + ); + ); + if(islist(option),tmp=option_1,tmp=option); + tmp=substring(tmp,0,1); + if(tmp=="P" % tmp=="p", + Putpoint3d([name,out]); + Fixpoint3d([name,out]); + ); + if(tmp=="D" % tmp=="d", + Drawpoint3d(out); + ); + out; +); + +Perpplane(name,ptstr,nvec):= + Perpplane(name,ptstr,nvec,"draw"); +Perpplane(name,ptstr,nstr,option):=( +//help:Perpplane("A-B","P",[1,3,2]); +//help:Perpplane("A-B","P",[0,0,1,0]); + regional(Eps,nvec,sgstr,pP,v1,v2,v3, + th,ph,pA,pB,tmp,tmp1,tmp2); + Eps=10^(-4); + if(isstring(nstr),nvec=parse(nstr+"3d"),nvec=nstr); + pP=parse(ptstr+"3d"); + v3=nvec/|nvec|; + th=THETA; ph=PHI; + tmp=findangle(v3); + THETA=tmp_1; PHI=tmp_2; + v1=Cancoordpara([1,0,0]); + v2=Cancoordpara([0,1,0]); + THETA=th; PHI=ph; + tmp=indexof(pLstr,"-"); + pA=pP+v1; + pB=pP+v2; + if(islist(option),tmp=option_1,tmp=option); + tmp=Toupper(substring(tmp,0,1)); // 16.06.19 + if(tmp=="P", + tmp=indexof(name,"-"); + tmp1=substring(name,0,tmp-1); + tmp2=substring(name,tmp,length(name)); + Putpoint3d([tmp1,pA,tmp2,pB],["fix"]); + ); + if(tmp=="D", + Drawpoint3d(pA); + Drawpoint3d(pB); + ); + [pA,pB]; +); + +Drawpoint3d(pt3):=( +//help:Drawpoint3d(pt3d); + regional(ptL,tmp,tmp1,tmp2); + if(MeasureDepth(pt3)==0,ptL=[pt3],ptL=pt3); + forall(ptL, + tmp=parapt(#); + draw(tmp_(1..2)); + if(SUBSCR==1, + draw([tmp_1+NE.x-SW.x, #_3]); + ); + ); +); + +Putaxes3d(size):=( +//help:Putaxes3d(5); +//help:Putaxes3d([1,2,3]); + regional(sL); + if(islist(size),sL=size,sL=[size,size,size]); + Putpoint3d(["O",[0,0,0]],"fix"); //17.06.02from + Putpoint3d(["X",[sL_1,0,0]],"fix"); + Putpoint3d(["Y",[0,sL_2,0]],"fix"); + Putpoint3d(["Z",[0,0,sL_3]],"fix"); +// Fixpoint3d(["O",[0,0,0]]); +// Fixpoint3d(["X",[sL_1,0,0],"Y",[0,sL_2,0],"Z",[0,0,sL_3]]);//17.06.02funtil +); + +IntersectsgpL(name,sgstr,pLstr):= + IntersectsgpL(name,sgstr,pLstr,"draw"); +IntersectsgpL(name,sgstr,pLstr,option):=( +//help:IntersectsgpL("R","P-Q","A-B-C"); +//help:IntersectsgpL("R","P-Q","A-B-C","put"); +//// help:IntersectsgpL("","P-Q","A-B-C","none"); +//help:IntersectsgpL("",[p1,p2],[p3,p4,p5],"draw"); + regional(opstr,out,pP,pQ,pA,pB,pC,pH,pK,pR,tseg,tt,ss,Eps,flg, + nvec,tmp,tmp1,tmp2,tmp3,tmp4); + if(islist(option),opstr=option_1,opstr=option); + Eps=10^(-4); + flg=0; + if(!isstring(sgstr), // 15.05.29 + pP=sgstr_1; + pQ=sgstr_2; + , + tmp=indexof(sgstr,"-"); + if(tmp>0, // 15.05.28 + pP=parse(substring(sgstr,0,tmp-1)+"3d"); + pQ=parse(substring(sgstr,tmp,length(sgstr))+"3d"); + , + tmp1=parse(sgstr); + pP=tmp1_1; + pQ=tmp1_2; + ); + ); + if(!isstring(pLstr), // 16.02.02 + pA=pLstr_1; + pB=pLstr_2; + pC=pLstr_3; + , + tmp=indexof(pLstr,"-"); + pA=parse(substring(pLstr,0,tmp-1)+"3d"); + tmp1=substring(pLstr,tmp,length(pLstr)); + tmp=indexof(tmp1,"-"); + pB=parse(substring(tmp1,0,tmp-1)+"3d"); + pC=parse(substring(tmp1,tmp,length(tmp1))+"3d"); + ); + nvec=Crossprod(pB-pA,pC-pA); + if(abs(Dotprod(nvec,pQ-pP))>Eps, + pH=(Reflect3point(pP,[pA,pB,pC])+pP)/2; + pK=(Reflect3point(pQ,[pA,pB,pC])+pQ)/2; + tmp1=pP-pH; + tmp2=tmp1+pK-pQ; + tmp=select(tmp2,abs(#)==max(apply(tmp2,abs(#)))); + tmp=select(1..3,tmp2_#==tmp_1); + tmp=tmp_1; + tseg=tmp1_tmp/tmp2_tmp; + pR=(1-tseg)*pH+tseg*pK; + tmp=substring(opstr,0,1); + if(Toupper(tmp)=="P", + Putpoint3d([name,pR]); + Fixpoint3d([name,pR]); + ); + if(Toupper(tmp)=="D", + Drawpoint3d(pR); + ); + tmp=Dotprod(pB-pA,pC-pA); + tmp1=Dotprod(pB-pA,pB-pA); + tmp2=Dotprod(pC-pA,pC-pA); + tmp3=Dotprod(pR-pA,pB-pA); + tmp4=Dotprod(pR-pA,pC-pA); + ss=-(tmp*tmp4-tmp3*tmp2)/(tmp1*tmp2-tmp^2); + tt=(tmp1*tmp4-tmp*tmp3)/(tmp1*tmp2-tmp^2); + out=[pR,tseg,ss,tt]; + , + if(Toupper(substring(opstr,0,1))!="N", + println(" "+sgstr+","+pLstr+" are parallel"); + ); + out=[]; + ); + out; +); + +Bezier3d(nm,ptctrlist):=Bezier3(nm,ptctrlist); +Bezier3d(nm,Ag1,Ag2):=Bezier3(nm,Ag1,Ag2); +Bezier3d(nm,ptlistorg,ctrlistorg,options):= + Bezier3(nm,ptlistorg,ctrlistorg,options); +//help:Bezier3d("1",["A","B","C"],["D","E","F","G"]); +Bezier3(nm,ptctrlist):=Bezier3(nm,ptctrlist_1,ptctrlist_2,[]); +Bezier3(nm,Ag1,Ag2):=( + if(MeasureDepth(Ag1)==0, + Bezier3(nm,Ag1,Ag2,[]); + , + if(MeasureDepth(Ag1)>1, + Bezier3(nm,Ag1_1,Ag1_2,Ag2); + , + if(isstring(Ag_1_1), + Bezier3(nm,Ag1,Ag2,[]); + , + Bezier3(nm,Ag1_1,Ag1_2,Ag2); + ); + ); + ); +); +Bezier3(nm,ptlistorg,ctrlistorg,options):=( //17.10.08 greatly changed + regional(name,name3,name2,tmp,tmp1,tmp2, + Ltype,Noflg,opstr,eqL,Num,ii,knt,ctr,out); + name="bz"+nm; + name3="bz3d"+nm; + name2="bz2d"+nm; + tmp=Divoptions(options); + Ltype=tmp_1; + Noflg=tmp_2; + eqL=tmp_5; + opcindy=tmp_(length(tmp)); + Num=20; + forall(eqL, + tmp=indexof(#,"="); + tmp1=Toupper(substring(#,0,1)); + tmp2=substring(#,tmp,length(#)); + if(tmp1=="N", + Num=parse(tmp2); + ); + ); + ptlist=ptlistorg; + if(isstring(ptlistorg_1),ptlist=apply(ptlistorg,parse(#+"3d"))); + ctrlist=ctrlistorg; + if(isstring(ctrlistorg_1),ctrlist=apply(ctrlistorg,parse(#+"3d"))); + out=[]; + forall(1..(length(ptlist)-1),ii, + knt=[ptlist_ii,ptlist_(ii+1)]; + ctr=[ctrlist_(2*ii-1),ctrlist_(2*ii)]; + tmp="Bezierpt(T,ptlist,ctrlist)";//17.01.04 + tmp=Assign(tmp,"ptlist",knt); + tmp=Assign(tmp,"ctrlist",ctr); + Spacecurve(name+text(ii),tmp,"T=[0,1]",append(eqL,"nodisp")); + GLIST=GLIST_(1..(length(GLIST)-2)); + out=append(out,name3+text(ii)); + ); + tmp1=[]; + forall(1..length(out), + tmp=parse(out_#); + if(#==1,tmp1=tmp,tmp1=concat(tmp1,tmp_(2..length(tmp)))); + ); + if(Noflg<3, + println("generate Beziercurve "+name3); + tmp=name3+"="+tmp1; + parse(tmp); + tmp1=Projpara(name3,["nodata"]); + tmp=name2+"="+textformat(tmp1,5); + parse(tmp); + ptlist=apply(ptlistorg,#+"3d"); + ptlist=RSform(text(ptlist),1); + ctrlist=[]; + forall(1..(length(ctrlistorg)/2), + tmp=[ctrlistorg_(2*#-1),ctrlistorg_(2*#)]; + tmp=apply(tmp,#+"3d"); + ctrlist=append(ctrlist,tmp); + ); + ctrlist=RSform(text(ctrlist),0); + tmp=name3+"=Bezier("+ptlist+","+ctrlist+","+Dq+"Num="+text(Num)+Dq+")"; + GLIST=append(GLIST,tmp); + tmp=name2+"=Projpara("+name3+")"; + GLIST=append(GLIST,tmp); + ); + if(Noflg<2, + if(isstring(Ltype), + Ltype=GetLinestyle(text(Noflg)+Ltype,name2); + , + if(Noflg==1,Ltype=0); + ); + GCLIST=append(GCLIST,[name2,Ltype,opcindy]); + if(SUBSCR==1, // 15.02.11 + Subgraph(name3,opcindy); + ); + ); + out; +); + +Putbezier3data(name,pt3Lorg):=Putbezier3data(name,pt3Lorg,[]); +Putbezier3data(name,pt3Lorg,options):=( // 17.10.08 greatly changed + regional(pt3L,psize,Deg,nn,numstr, + tmp,tmp1,tmp2,tmp3,pts,ctrpts); + tmp=Divoptions(options); + Deg=3; + tmp1=tmp_5; + forall(tmp1, + if(substring(#,0,1)=="D", + tmp=indexof(#,"="); + Deg=parse(substring(#,tmp,length(#))); + ); + ); + pt3L=pt3Lorg; + if(isstring(pt3L_1),pt3L=apply(pt3L,parse(#+"3d"))); + ctrpts=[]; + forall(2..length(pt3L),nn, // 16.08.19from + numstr=text(nn-1); // 16.08.19 + if(Deg==3, + tmp1=name+numstr+"p"; + tmp2=(2*pt3L_(nn-1)+pt3L_(nn))/3; + VLIST=select(VLIST,#_1!=tmp1+"3d"); // 16.08.19from + Putpoint3d([tmp1,tmp2]); + ctrpts=append(ctrpts,tmp1); + tmp1=name+numstr+"q"; + tmp3=(pt3L_(nn-1)+2*pt3L_nn)/3; + VLIST=select(VLIST,#_1!=tmp1+"3d"); + Putpoint3d([tmp1,tmp3]); + ctrpts=append(ctrpts,tmp1); + , + tmp1=name+numstr+"p"; + tmp2=(pt3L_(nn-1)+pt3L_nn)/2; + VLIST=select(VLIST,#_1!=tmp1+"3d"); // 16.08.19until + Putpoint3d([tmp1,tmp2]); + ctrpts=append(ctrpts,tmp1); + ); + ); + ctrpts; +); + +Mkbezierptcrv3d(ptdata):=Mkbezierptcrv3(ptdata); +Mkbezierptcrv3d(ptdata,options):=Mkbezierptcrv3(ptdata,options); +//help:Mkbezierptcrv3d(["A","B","C","D"]); +Mkbezierptcrv3(ptdata):=Mkbezierptcrv3(ptdata,[]); +Mkbezierptcrv3(ptdata,options):=( //17.10.08 greatly changed + regional(Eps,name,bz,pt,p1,p2,p13d,p23d,pt3, + Out,tt,pos,tmp,tmp1,tmp2); + Eps=10^(-4); + pos=[NE.x+1,NE.y]; + Out=[]; + tmp=floor((BezierNumber3-1)/26);// 15.02.23 from + if(tmp==0,tmp="",tmp=text(tmp)); + tmp2=mod(BezierNumber3,26); + if(tmp2==0,tmp2=26); + name=unicode(text(96+tmp2),base->10)+tmp; + tmp2=Putbezier3data(name,ptdata,options); + Bezier3(name,ptdata,tmp2,options); + Out=append(Out,tmp2); + BezierNumber3=BezierNumber3+1; + Out; +); + +/////////////////////////////////////////// + +Readobj(filename):=Readobj(filename,[]); +Readobj(filename,options):=( +//help:Readobj("file.obj",["size=-3"]); + regional(eqL,size,vL,fnL,tmp,tmp1,tmp2); + size=1; + tmp=Divoptions(options); + eqL=tmp_5; + forall(eqL, + if(Toupper(substring(#,0,1))=="S", + tmp=indexof(#,"="); + size=parse(substring(#,tmp,length(#))); + ); + ); + tmp=load(filename); + tmp=tokenize(tmp,"v"); + tmp1=tmp_(2..(length(tmp)-1)); + tmp2=tmp_(length(tmp)); + tmp2=tokenize(tmp2,"f"); + tmp1=append(tmp1,tmp2_1); + tmp1=apply(tmp1,Removespace(#)); + tmp1=apply(tmp1,replace(#," "," ")); + tmp1=apply(tmp1,"["+replace(#," ",",")+"]"); + vL=apply(tmp1,size*parse(#)); + tmp2=tmp2_(2..(length(tmp2))); + tmp2=apply(tmp2,Removespace(#)); + tmp2=apply(tmp2,replace(#," "," ")); + tmp2=apply(tmp2,"["+replace(#," ",",")+"]"); + fnL=apply(tmp2,parse(#)); + [vL,fnL]; +); + +///////////////////////////////////////// + +Readobj(filename,options):=( +//help:Readobj("file.obj",["size=-3"]); + regional(eqL,size,vL,fnL,dtL,numer,flg,flg2, + tmp,tmp1,tmp2,tmp3,tmp4,tmp5); + size=1; + tmp=Divoptions(options); + eqL=tmp_5; + forall(eqL, + if(Toupper(substring(#,0,1))=="S", + tmp=indexof(#,"="); + size=parse(substring(#,tmp,length(#))); + ); + ); + numer="-0123456789"; + tmp=load(filename); + dtL=tokenize(tmp,"v "); + vL=[]; + fnL=[]; + flg=0; + flg2=0; + forall(dtL,dt, + tmp1=Removespace(dt); + if(indexof(numer,substring(tmp1,0,1))>0, + tmp2=""; + tmp=indexof(tmp1,"f"); + if(tmp>0, + tmp2=substring(tmp1,tmp-1,length(tmp1)); + tmp1=substring(tmp1,0,tmp-1); + if(substring(tmp1,length(tmp1)-1,length(tmp1))=="#", + tmp2="#"+tmp2; + tmp1=substring(tmp1,0,length(tmp1)-1); + ); +// tmp=indexof(tmp2,"#"); +// if(tmp>0, +// tmp2=substring(tmp2,0,tmp-1); +// ); + ); + if(flg==1, + tmp1=""; + flg=0; + ); + if(length(tmp1)>0, + tmp=indexof(tmp1,"#"); + if(tmp>0, + tmp1=substring(tmp1,0,tmp-1); + flg=1; + ); + tmp=indexof(tmp1,"vt"); + if(tmp>0, + tmp1=substring(tmp1,0,tmp-1); + ); + tmp1=replace(tmp1," ",","); + tmp1=replace(tmp1," ",","); + tmp1="["+tmp1+"]"; + tmp1=size*parse(tmp1); + vL=append(vL,tmp1); + ); + if(length(tmp2)>0, + tmp2=tokenize(tmp2,"f"); + if(length(tmp2_1)==0, + tmp2=tmp2_(2..length(tmp2)); + // , + // if(tmp2_1=="#", +// tmp2=tmp2_(2..length(tmp2)); +// tmp2_1="#"+tmp2_1; +// ); + ); + forall(1..length(tmp2),tmp3, + tmp=tmp2_tmp3; + if(substring(tmp,length(tmp)-1,length(tmp))=="#", + tmp2_(tmp3+1)="#"+Removespace(tmp2_(tmp3+1)); + tmp2_tmp3=substring(tmp,0,length(tmp)-1); + ); + tmp5=""; + if(length(tmp2_tmp3)>0, + tmp4=tokenize(tmp2_tmp3," "); + forall(tmp4, + if(length(text(#))>0, + if(indexof(text(#),"/")==0, + tmp=text(#); + , + tmp=tokenize(text(#),"/"); + tmp=tmp_1; + ); + if(length(tmp)>0, + tmp5=tmp5+tmp+","; + ); + ); + ); + tmp5=substring(tmp5,0,length(tmp5)-1); + if(length(tmp5)>0, + if(substring(tmp5,0,1)!="#", + tmp5="["+tmp5+"]"; + fnL=append(fnL,parse(tmp5)); + ); + ); + ); + ); + ); + ); + ); + [vL,fnL]; +); + +Concatobj(objL):=Concatobj(objL,[]); +Concatobj(objL,options):=( +//help:Concatobj([polyhed,triangle]); +//help:Concatobj([polyhed,triangle],["Rmf=no"]); +//help:Concatobj([[A,B,C],[A,C,D]]); + regional(obj,vL,fL,vadd,vtx,faces,fnew,face,jj,kk,vctr,eps, + tmp,tmp1,tmp2,tmp3,eqL,rmf); + tmp=divoptions(options); + eqL=tmp_5; + rmf="y"; // 16.08.19 + forall(eqL, + tmp=indexof(#,"="); + tmp1=Toupper(substring(#,0,1)); + tmp2=Toupper(substring(#,tmp,tmp+1)); + if(tmp1=="R", + if(tmp2=="Y",rmf="y"); // 16.08.14 + ); + ); + eps=10^(-4); + vL=[]; + fL=[]; + vctr=0; + forall(objL,obj, + if(isstring(obj), + tmp1=parse(obj); + , + tmp1=obj; + ); + if(length(tmp1)>2, // 16.02.28 + tmp=1..length(tmp1); + tmp1=[tmp1,[tmp]]; + ); + vtx=tmp1_1; // 16.02.11 from + faces=tmp1_2; + fnew=faces; + vctr=0; + vadd=[]; + forall(1..length(vtx),jj, + tmp1=vtx_jj; + tmp=select(1..length(vL),dist3d(vL_#,tmp1)<eps); + if(length(tmp)==0, + vadd=append(vadd,tmp1); + vctr=vctr+1; + tmp2=length(vL)+vctr; + , + tmp2=tmp_1; + ); + forall(1..length(faces),kk, + face=faces_kk; + tmp=select(1..length(face),face_#==jj); + if(length(tmp)>0, + tmp1=tmp_1; + fnew_kk_tmp1=tmp2; + ); + ); + ); + vL=concat(vL,vadd); + fL=concat(fL,fnew); // 16.02.11 until + ); + tmp2=apply(1..length(fL),1); + if(rmf=="y", + forall(1..length(fL),jj, + tmp=fL_jj; + tmp1=select((jj+1)..length(fL),fL_#==tmp); + forall(tmp1,tmp2_#=0); + ); + tmp=select(1..length(tmp2),tmp2_#==1); + fL=fL_tmp; + ); + [vL,fL]; +); + +if(1==0, + +Mkobjfile(fname,objL):=Mkobjfile(Dirwork,fname,objL); +Mkobjfile(path,fnameorg,objL):=( +//help:Mkobj(filename,objlist); + regional(fname,obj,vtx,face,tmp,tmp1,tmp2); + fname=fnameorg; + if(indexof(fname,".")==0,fname=fname+".obj"); + vtx=objL_1; + face=objL_2; + setdirectory(path); + SCEOUTPUT = openfile(fname); + forall(vtx,tmp1, + tmp2=tmp1; + if(ispoint(tmp1), + tmp2=parse(text(tmp1)+"3d"); + ); + tmp="v "+format(tmp2_1,5)+" "+format(tmp2_2,5)+" "+format(tmp2_3,5); + println(SCEOUTPUT,tmp); + ); + forall(face,tmp1, + tmp="f"; + forall(tmp1, + tmp=tmp+" "+text(#); + ); + println(SCEOUTPUT,tmp); + ); + closefile(SCEOUTPUT); + setdirectory(Dirwork); +); + +); + +VertexandEdge(nm,vfnL):=VertexEdgeFace(nm,vfnL,[]); +VertexandEdge(nm,vfnL,options):=VertexEdgeFace(nm,vfnL,options); +VertexEdgeFace(nm,vfnL):=VertexEdgeFace(nm,vfnL,[]); // 16.02.10 +//help:VertexEdgeFace("1",[vL,fnL]); +//help:VertexEdgeFace("1",["A","B","C"]); +//help:VertexEdgeFace(options=["Pt=fix","Edg=geo"]); +VertexEdgeFace(nm,vfnLorg,optionorg):=( + regional(name3,namev,namee,namef,vfnL,options,Noflg,eqL,strL, + vL,eL,enL,face,edge,vtx,vname,fixflg,edgflg,tmp,tmp1,tmp2); + name3="phvef"+nm; + namev="phv3d"+nm; + namee="phe3d"+nm; + namef="phf3d"+nm; + options=optionorg; + vfnL=vfnLorg; // 16.06.19from + if(length(vfnL)>2, + vfnL=[vfnL,[1..length(vfnL)]]; + ); + if(length(vfnL)==1, + vfnL=[vfnL_1,[1..length(vfnL_1)]]; + ); // 16.06.19until + tmp=Divoptions(options); + Noflg=tmp_2; + eqL=tmp_5; + strL=tmp_7; + fixflg=1; + edgflg=1; + forall(eqL, + tmp1=Toupper(substring(#,0,1)); + tmp=indexof(#,"="); + tmp2=Toupper(substring(#,tmp,length(#))); + if(tmp1=="P", + if(tmp2=="FREE", fixflg=0); + options=remove(options,[#]); + ); + if(tmp1=="E", + if(substring(tmp2,0,1)=="N", edgflg=0); + options=remove(options,[#]); + ); + ); + forall(strL, + if(Toupper(#)=="FREE", + fixflg=0; + options=remove(options,[#]); + ); + ); + vL=[]; + forall(1..length(vfnL_1), + vtx=vfnL_1_#; // 16.02.10 from + if(isstring(vtx),vtx=parse(vtx)); // 16.06.19 + if(ispoint(vtx), + tmp=parse(text(vtx)+"3d"); + vname=text(vtx); +// tmp=parse(text(vtx)+"3d"); +// tmp="v"+text(#)+"3d="+textformat(tmp,5); +// parse(tmp); + , + vname="v"+text(#); + if(fixflg==1, + Putpoint3d(["v"+text(#),vtx],"fix"); + ); + ); + vL=append(vL,vname); // 16.02.10 until + ); + eL=[]; + forall(vfnL_2,face, + forall(1..length(face), + tmp1=face_#; + if(#<length(face), + tmp2=face_(#+1); + , + tmp2=face_1; + ); + if(tmp2<tmp1, + tmp=tmp2; tmp2=tmp1; tmp1=tmp; + ); +// tmp1="v"+text(tmp1)+"3d"; +// tmp2="v"+text(tmp2)+"3d"; + tmp1=vL_tmp1+"3d"; + tmp2=vL_tmp2+"3d"; + tmp=select(eL,#==[tmp1,tmp2] % #==[tmp2,tmp1]); + if(length(tmp)==0, + eL=append(eL,[tmp1,tmp2]); + ); + ); + ); + if(Noflg<3, + enL=[]; + forall(eL,edge, + if(edgflg==0, + if(Noflg<2, + tmp1=edge_1;//parse(edge_1); + tmp2=edge_2;//parse(edge_2); + tmp="sl3d"+edge_1+edge_2; + if(islist(parse(tmp)), + Changestyle3d([tmp],["nodisp"]); + ); + tmp="sl3d"+edge_2+edge_1; + if(islist(parse(tmp)), + Changestyle3d([tmp],["nodisp"]); + ); + tmp=replace(edge_1+edge_2,"3d",""); + options=append(options,"Msg=no"); + Spaceline("-"+tmp,[tmp1,tmp2],options); //16.02.28 + ); + enL=append(enL,tmp+"3d"); //16.02.29 + , + tmp1=replace(edge_1,"3d",""); + tmp2=replace(edge_2,"3d",""); + tmp=tmp1+tmp2; + create([tmp],"Segment",[parse(tmp1),parse(tmp2)]); + enL=append(enL,tmp+"3d");//16.02.29 + ); + ); + if(Noflg<2, + println("generate "+name3); + println(" generate totally "+namee); + println(" generate vertexes "+namev); + println(" generate faces "+namef); + ); + tmp1=""; + forall(enL, + tmp1=tmp1+Dq+#+Dq+","; + ); + tmp1=substring(tmp1,0,length(tmp1)-1); + tmp=namee+"=["+tmp1+"]"; + parse(tmp); + tmp=namee+"=list("+tmp1+")"; + tmp=replace(tmp,Dq,""); + GLIST=append(GLIST,tmp); + tmp1=apply(vL,Dq+#+"3d"+Dq); + tmp1=text(tmp1); + tmp1=substring(tmp1,1,length(tmp1)-1); + tmp=namev+"=["+tmp1+"]"; + parse(tmp); + tmp1=replace(tmp1,Dq,""); + tmp=namev+"=list("+tmp1+")"; + GLIST=append(GLIST,tmp); + tmp1=text(vfnL_2); + tmp1=substring(tmp1,1,length(tmp1)-1); + tmp=namef+"=["+tmp1+"]"; + parse(tmp); + tmp=namef+"=list("+tmp1+")"; + GLIST=append(GLIST,tmp); + ); + [namev,namee,namef]; +); + +Phparadata(nm,nmvf):=( + regional(tmp1,tmp2); + tmp1=parse("phv3d"+nmvf); + tmp2=parse("phf3d"+nmvf); + Phparadata(nm,nmvf,[tmp1,tmp2]); +); +Phparadata(nm,nmvf,Arg1):=( + regional(vfL,options,tmp1,tmp2); + if(islist(Arg1) & !islist(Arg1_1), + tmp1=parse("phv3d"+nmvf); + tmp2=parse("phf3d"+nmvf); + vfL=[tmp1,tmp2]; + options=Arg1; + , + vfL=Arg1; + options=[]; + ); + Phparadata(nm,nmvf,vfL,options); +); +Phparadata(nm,nmvf,vfL,options):=( +//help:Phparadata("1","1",["do"]); + regional(name2,name3,nameh2,nameh3,Ltype,Noflg,eqL,Hidden, + opstr,opcindy,Outflg,Inflg,pdata1,tmp,tmp1,tmp2); + name2="php2d"+nm; + name3="php3d"+nm; + nameh2="phh2d"+nm; + nameh3="phh3d"+nm; + tmp=Divoptions(options); + Ltype=tmp_1; + Noflg=tmp_2; + Inflg=tmp_3; + Outflg=tmp_4; + if(Inflg==0 & Outflg==0, Inflg=1;Outflg=1); // 15.05.15 + eqL=tmp_5; + opstr=tmp_(length(tmp)-1); + opcindy=tmp_(length(tmp)); + Hidden=""; + forall(eqL, + tmp=indexof(#,"="); + tmp1=Toupper(substring(#,0,1)); + tmp2=substring(#,tmp,length(#)); + if(tmp1=="H", + Hidden=tmp2; + ); + ); + if(Noflg<3, + if(Outflg>=1, + println("Output Phparadata "+name3); + if(isstring(vfL_1), // 2015.05.27 from + tmp1=vfL_1; + , + tmp1="list("; + forall(vfL_1, + tmp1=tmp1+#+","; + ); + tmp1=substring(tmp1,0,length(tmp1)-1)+")"; + ); + if(isstring(vfL_2), + tmp2=vfL_2; + , + tmp2="list("; + forall(vfL_2, + tmp2=tmp2+text(#)+","; + ); + tmp2=substring(tmp2,0,length(tmp2)-1)+")"; + ); // 2015.05.27 until + tmp=name3+"=Phparadata("+tmp1+","+tmp2+opstr+")"; + GLIST=append(GLIST,tmp); + tmp=name2+"=Projpara("+name3+")"; + GLIST=append(GLIST,tmp); + tmp=nameh3+"=PhHiddenData()"; + GLIST=append(GLIST,tmp); + tmp=nameh2+"=Projpara("+nameh3+")"; + GLIST=append(GLIST,tmp); + ); + ); + if(Noflg<2, + if(isstring(Ltype), + Ltype=GetLinestyle(text(Noflg)+Ltype,name2); + , + if(Noflg==1,Ltype=0); + ); + if(Inflg==1, +// tmp=apply(pltdata1,replace(#,"3d","2d")); // 15.05.18 from + Changestyle3d("phe3d"+nmvf,["nodisp"]); + GCLIST=append(GCLIST,[name2,Ltype,opcindy]); + ); + ); + if(Hidden!="", + Drawlinetype(nameh2,Hidden); + if(Inflg==1, + tmp1=Toupper(substring(Hidden,0,2)); + if(tmp1=="DR",Ltype=0); + if(tmp1=="DA",Ltype=1); + if(tmp1=="DO",Ltype=3); + if(tmp1=="ID",Ltype=1); + GCLIST=append(GCLIST,[nameh2,Ltype,opcindy]); + ); + ); +); + +Nohiddenseg(seg,rng,triang):=( +// help:Nohiddenseg("1",seg1,[0,1],["v1","v2","v3"]); + regional(Eps,pA3,pB3,pC3,pA,pB,pC,sg1,sg2,ss1,ss2,parL,flgL,flg1,flg2, + veB,veC,sgnoh,sghid,added,tristr,tmp,tmp1,tmp2,tmp3,tmp4,tmp5); + Eps=10^(-4); + sgnoh=[0,1]; + pA3=if(isstring(triang_1),parse(triang_1+"3d"),triang_1); //16.06.19 + pA=Parapt(pA3); + pB3=if(isstring(triang_2),parse(triang_2+"3d"),triang_2); //16.06.19 + pB=Parapt(pB3); + pC3=if(isstring(triang_3),parse(triang_3+"3d"),triang_3); //16.06.19 + pC=Parapt(pC3); + sg1=seg_1+rng_1*(seg_2-seg_1); + sg2=seg_1+rng_2*(seg_2-seg_1); + ss1=Parapt(sg1); + ss2=Parapt(sg2); + tristr=replace(text(triang),",","-"); + tristr=substring(tristr,1,length(tristr)-1); + if(|ss2-ss1|>Eps & abs(Crossprod(pB-pA,pC-pA))>Eps, + tmp=IntersectcrvsPp([ss1,ss2],[pA,pB,pC,pA]); + parL=apply(tmp,#_2-1); + parL=sort(parL); + if(length(parL)==0, + parL=[0,1]; + , + if(parL_1>Eps,parL=prepend(0,parL)); + if(parL_(length(parL))<1-Eps,parL=append(parL,1)); + ); + tmp1=Crossprod(pB3-pA3,pC3-pA3); + if(abs(Dotprod(tmp1,sg2-sg1))>Eps, + tmp=IntersectsgpL("",[sg1,sg2],tristr,["nodisp"]); + if(tmp_2>-Eps & tmp_2<1+Eps, + if(tmp_3>-Eps & tmp_4>-Eps & tmp_3+tmp_4<1+Eps, + tmp1=select(parL,abs(tmp_2-#)<Eps); + if(length(tmp1)==0, + parL=sort(append(parL,tmp_2)); + ); + ); + ); + ); + flgL=[]; + forall(parL, + tmp1=sg1+#*(sg2-sg1); + tmp=Projcoordpara(tmp1); + tmp_3=tmp_3+1; + tmp2=Cancoordpara(tmp); + tmp=IntersectsgpL("",[tmp1,tmp2],tristr,["nodisp"]); + tmp1=Projcoordpara(tmp1); + tmp2=Projcoordpara(tmp_1); + flg1=0; + if(tmp1_3<tmp2_3-Eps,flg1=-1); + if(tmp1_3>tmp2_3+Eps,flg1=1); + flgL=append(flgL,flg1); + ); + sgnoh=[]; + forall(2..length(flgL), + added=[]; + flg1=flgL_(#-1); + flg2=flgL_#; + if(max([flg1,flg2])==1 % flg1+flg2==0, + added=[parL_(#-1),parL_#]; + , + sghid=[parL_(#-1),parL_#]; + tmp1=ss1+sghid_1*(ss2-ss1); + tmp2=ss1+sghid_2*(ss2-ss1); + tmp=IntersectcrvsPp([tmp1,tmp2],[pA,pB,pC,pA]); + if(length(tmp)<2, + veB=pB-pA; + veC=pC-pA; + tmp3=tmp1-pA; + tmp4=tmp2-pA; + tmp5=Crossprod(veB,veC); + tmp1=(tmp3_1*veC_2-tmp3_2*veC_1)/tmp5; + tmp2=(-tmp3_1*veB_2+tmp3_2*veB_1)/tmp5; + if(tmp1>-Eps & tmp2>-Eps & tmp1+tmp2<1+Eps,flg1=1,flg1=0); + tmp1=(tmp4_1*veC_2-tmp4_2*veC_1)/tmp5; + tmp2=(-tmp4_1*veB_2+tmp4_2*veB_1)/tmp5; + if(tmp1>-Eps & tmp2>-Eps & tmp1+tmp2<1+Eps,flg2=1,flg2=0); + if(flg1==1 & flg2==0, + if(length(tmp)>0, + tmp1=tmp_1_2-1; + tmp1=sghid_1+(sghid_2-sghid_1)*tmp1; + , + tmp1=sghid_1; + ); + added=[tmp1,sghid_2]; +// added=[tmp1+Eps,sghid_2]; // <--- USUI 2016.02.27 + ); + if(flg1==0 & flg2==1, + if(length(tmp)>0, + tmp1=tmp_1_2-1; + tmp1=sghid_1+(sghid_2-sghid_1)*tmp1; + , + tmp1=sghid_2; + ); + added=[sghid_1,tmp1]; + ); + if(flg1+flg2==0, + added=sghid; + ); + ); + if(length(tmp)==2, + if(min([flg1,flg2])>=0,added=sghid,added=[]); + ); + ); + if(length(added)>0, + if(length(sgnoh)==0, + sgnoh=added; + , + if(sgnoh_(length(sgnoh))<added_1-Eps, + sgnoh=concat(sgnoh,added); + , + sgnoh=sgnoh_(1..(length(sgnoh)-1)); + sgnoh=concat(sgnoh,added_(2..length(added))); + ); + ); + ); + ); + ); + sgnoh=apply(sgnoh,rng_1+#*(rng_2-rng_1)); + sgnoh; +); + +Nohiddensegs(seg,range,faceno,vtxL):=( + regional(Eps,rng,face,vtx,out,ra,rb,tmp,tmp1,tmp2); + Eps=10^(-4); + face=apply(faceno,vtxL_#); // 16.02.10 + rng=range; + out=rng; + forall(2..(length(face)-1),vtx, + tmp1=[face_1,face_vtx,face_(vtx+1)]; + forall(1..(length(rng)/2), + tmp=[rng_(2*#-1),rng_(2*#)]; + out=remove(out,tmp); + tmp2=Nohiddenseg(seg,tmp,tmp1); + if(length(tmp2)>0, + out=remove(out,tmp); + out=concat(out,tmp2); + ); + ); + tmp=sort(out); + out=[]; + forall(1..(length(tmp)/2), + ra=tmp_(2*#-1); + rb=tmp_(2*#); + if(ra<rb-Eps, + if(length(out)==0, + out=[ra,rb]; + , + if(out_(length(out))<ra-Eps, + out=concat(out,[ra,rb]); + , + out_(length(out))=rb; + ); + ); + ); + ); + rng=out; + ); + rng; +); + +Nohiddenbyfaces(nm,facestr):= + Nohiddenbyfaces(nm,Datalist3d(),facestr,[],["do"]); +Nohiddenbyfaces(nm,Arg1,Arg2):=( + regional(segstr,facestr,options); + if(islist(Arg2), + segstr=Datalist3d(); + facestr=Arg1; + options=Arg2; + , + segstr=Arg1; + facestr=Arg2; + options=[]; + ); + Nohiddenbyfaces(nm,segstr,facestr,options,["do"]); +); +Nohiddenbyfaces(nm,Arg1,Arg2,Arg3):=( + regional(segstr,facestr,options,optionsh); + if(islist(Arg2), + segstr=Datalist3d(); + facestr=Arg1; + options=Arg2; + optionsh=Arg3; + , + segstr=Arg1; + facestr=Arg2; + options=Arg3; + optionsh=["do"]; + ); + Nohiddenbyfaces(nm,segstr,facestr,options,optionsh); // 16.02.21 +); +Nohiddenbyfaces(nm,segstr,facestr,optionorg,optionsh):=( +//help:Nohiddenbyfaces("1","phf3d1"); +//help:Nohiddenbyfaces("1","ax3d","phf3d1"); +//help:Nohiddenbyfaces(options1=["dr"]); +//help:Nohiddenbyfaces(options2=["do"]); + regional(Eps,namen,nameh,options,segL,faceL,vtxL,rng,seg,face, + flg,ctr,tmp,tmp1,tmp2,Ltype,Noflg,eqL,opstr,opcindy,frnL,frhL); + Eps=10^(-4); + namen="frn"+nm; + nameh="frh"+nm; + if(isstring(segstr), +// segL=parse(segstr); + segL=[segstr]; // 16.08.19 + , + segL=segstr; + ); + tmp2=[]; // 16.02.29 from + forall(segL,seg, + tmp=replace(seg,"3d","2d"); + tmp1=select(GCLIST,#_1==tmp); + tmp1=tmp1_1; + if(tmp1_2==0, + tmp2=append(tmp2,seg); + ); + ); + segL=tmp2; + Changestyle3d(segL,["nodisp"]); // 16.02.29 until + if(islist(segL), + if(isstring(segL_1), + segL=apply(segL,parse(#)); + ); + ); + segL=Flattenlist(segL); + flg=0; + if(isstring(facestr), + if(substring(facestr,0,3)=="phf", // 16.08.19from + faceL=parse(facestr); + tmp=replace(facestr,"phf","phv"); // 16.02.10 from + tmp=parse(tmp); + vtxL=apply(tmp,replace(#,"3d","")); // 16.02.10 until + flg=1; + , + faceL=parse(facestr); + ); + ); + if(flg==0, + if(length(faceL)==2, // 16.08.19until + vtxL=facestr_1; + faceL=facestr_2; + , + vtxL=facestr; + faceL=[1..length(vtxL)]; + ); + ); +// Hidden=""; + options=optionorg; + tmp=Divoptions(options); + Ltype=tmp_1; + Noflg=tmp_2; + eqL=tmp_5; + opstr=tmp_(length(tmp)-1); + opcindy=tmp_(length(tmp)); +// forall(eqL, +// tmp=indexof(#,"="); +// tmp1=Toupper(substring(#,0,1)); +// tmp2=substring(#,tmp,length(#)); +// if(tmp1=="H", +// Hidden=tmp2; +// ); +// ); + + ctr=1; + frnL=[]; + frhL=[]; + forall(segL,seg, + rng=[0,1]; + forall(faceL,face, + rng=Nohiddensegs(seg,rng,face,vtxL); + ); + forall(1..length(rng)/2, + tmp=rng_(2*#-1); + tmp1=seg_1+tmp*(seg_2-seg_1); + tmp=rng_(2*#); + tmp2=seg_1+tmp*(seg_2-seg_1); +// tmp=remove(options,eqL); + tmp=append(options,"Msg=nodisp"); // 15.06.22 + Spaceline("-"+namen+"n"+text(ctr),[tmp1,tmp2],tmp); + frnL=append(frnL,namen+"n"+text(ctr)+"3d"); + ctr=ctr+1; + ); + if(length(rng)==0, + rng=[0,1]; + , + if(rng_1>0+Eps, + rng=prepend(0,rng); + , + rng=rng_(2..length(rng)); + ); + if(rng_(length(rng))<1-Eps, + rng=append(rng,1); + , + rng=rng_(1..(length(rng)-1)); + ); + ); + forall(1..length(rng)/2, + tmp=rng_(2*#-1); + tmp1=seg_1+tmp*(seg_2-seg_1); + tmp=rng_(2*#); + tmp2=seg_1+tmp*(seg_2-seg_1); + if(length(optionsh)>0,tmp=optionsh,tmp=["do"]); + tmp=append(tmp,"Msg=nodisp"); // 15.06.22 + Spaceline("-"+nameh+"n"+text(ctr),[tmp1,tmp2],tmp); + frhL=append(frhL,nameh+"n"+text(ctr)+"3d"); + ctr=ctr+1; + ); + ); + tmp1=apply(frnL,Dq+#+Dq); + tmp="frn3d"+nm+"="+text(tmp1); + parse(tmp); + println(" generate totally "+"frn3d"+nm); + tmp1=apply(frhL,Dq+#+Dq); + tmp="frh3d"+nm+"="+text(tmp1); + parse(tmp); + println(" generate totally "+"frh3d"+nm); +); + +Faceremovaldata(nm,vfdata,crvdata):=Faceremovaldata(nm,vfdata,crvdata,[]); +Faceremovaldata(nm,vfdata,crvdata,options):=( + regional(name2,name3,nameh2,nameh3,Ltype,Noflg,eqL,Hidden, + opstr,opcindy,Outflg,Inflg,tmp,tmp1,tmp2); + name2="frc2d"+nm; + name3="frc3d"+nm; + nameh2="frch2d"+nm; + nameh3="frch3d"+nm; + tmp=Divoptions(options); + Ltype=tmp_1; + Noflg=tmp_2; + Inflg=tmp_3; + Outflg=tmp_4; + if(Inflg==0 & Outflg==0, Inflg=1;Outflg=1); // 15.05.15 + eqL=tmp_5; + opstr=tmp_(length(tmp)-1); + opcindy=tmp_(length(tmp)); + Hidden=""; + forall(eqL, + tmp=indexof(#,"="); + tmp1=Toupper(substring(#,0,1)); + tmp2=substring(#,tmp,length(#)); + if(tmp1=="H", + Hidden=tmp2; + ); + ); + if(Noflg<3, + if(Outflg>=1, + println("Output Faceremovaldata "+name3); + if(MeasureDepth(vfdata)==1, + tmp1=text(apply(vfdata,#_[1,3])); + , + tmp1=text([vfdata_[1,3]]); + ); + tmp1=replace(tmp1,"[","list("); + tmp1=replace(tmp1,"]",")"); + tmp2=text(crvdata); + tmp2=replace(tmp2,"[","list("); + tmp2=replace(tmp2,"]",")"); +// tmp2="Flattenlist("+tmp2+")"; + tmp=name3+"=Faceremovaldata("+tmp1+","+tmp2+opstr+","+Dq+"para"+Dq+")"; + GLIST=append(GLIST,tmp); + tmp=name2+"=Projpara("+name3+")"; + GLIST=append(GLIST,tmp); + tmp=nameh3+"=PhHiddenData()"; + GLIST=append(GLIST,tmp); + tmp=nameh2+"=Projpara("+nameh3+")"; + GLIST=append(GLIST,tmp); + ); + ); + if(Noflg<2, + if(isstring(Ltype), + Ltype=GetLinestyle(text(Noflg)+Ltype,name2); + , + if(Noflg==1,Ltype=0); + ); + if(Inflg==1, + if(MeasureDepth(vfdata)==1, + tmp1=apply(vfdata,parse(#_2)); + , + tmp1=[parse(vfdata_2)]; + ); + forall(tmp1, + Changestyle3d(#,["nodisp"]); + ); + Changestyle3d(crvdata,["nodisp"]); + GCLIST=append(GCLIST,[name2,Ltype,opcindy]); + ); + ); + if(Hidden!="", + Drawlinetype(nameh2,Hidden); + if(Inflg==1, + tmp1=Toupper(substring(Hidden,0,2)); + if(tmp1=="DR",Ltype=0); + if(tmp1=="DA",Ltype=1); + if(tmp1=="DO",Ltype=3); + if(tmp1=="ID",Ltype=1); + GCLIST=append(GCLIST,[nameh2,Ltype,opcindy]); + ); + ); +); + +Fullformfunc(FdL):=( + regional(Out,nn,ii,Jrg,flg,Urg,Vrg,kk,Uname, + Zf,Xname,Xf,Yname,Yf,tmp,tmp1,tmp2); + Out=[FdL_1]; + nn=length(FdL); + flg=0; + forall(1..nn, + if(flg==0, + tmp=FdL_#; + if(substring(tmp,length(tmp)-1,length(tmp))=="]", + Jrg=#; + Urg=FdL_Jrg; + flg=1; + ); + ); + ); + kk=indexof(Urg,"="); + Uname=Removespace(substring(Urg,0,kk-1)); + tmp=substring(Urg,kk,length(Urg)); + Urg=Uname+"="+tmp; +// tmp1=parse(tmp); +// Urg=Uname+"="+textformat(tmp1,5); + Vrg=FdL_(Jrg+1); + kk=indexof(Vrg,"="); + Vname=Removespace(substring(Vrg,0,kk-1)); + tmp=substring(Vrg,kk,length(Vrg)); + Vrg=Vname+"="+tmp; +// tmp1=parse(tmp); +// Vrg=Vname+"="+textformat(tmp1,5); + if(Jrg==2, + tmp=FdL_1; + kk=indexof(tmp,"="); + Zf=substring(tmp,kk,length(tmp)); + tmp=[Uname,Vname,Zf,Urg,Vrg]; + Out=concat(Out,tmp); + , + if(Jrg==4, + tmp=FdL_1; + kk=indexof(tmp,"="); + Zf=substring(tmp,kk,length(tmp)); + tmp=FdL_2; + kk=indexof(tmp,"="); + Xname=Removespace(substring(tmp,0,kk-1)); + Xf=substring(tmp,kk,length(tmp)); + tmp=FdL_3; + kk=indexof(tmp,"="); + Yname=Removespace(substring(tmp,0,kk-1)); + Yf=substring(tmp,kk,length(tmp)); + tmp=replace(Zf,Xname,"("+Xf+")"); + Zf=replace(tmp,Yname,"("+Yf+")"); + Tmp=[Xf,Yf,Zf,Urg,Vrg]; + Out=concat(Out,Tmp); + , + tmp=FdL_2; + kk=indexof(tmp,"="); + Xf=substring(tmp,kk,length(tmp)); + tmp=FdL_3; + kk=indexof(tmp,"="); + Yf=substring(tmp,kk,length(tmp)); + tmp=FdL_4; + kk=indexof(tmp,"="); + Zf=substring(tmp,kk,length(tmp)); + tmp=[Xf,Yf,Zf,Urg,Vrg]; + Out=concat(Out,tmp); + ); + ); + DrwS="enws"; + BdyL=[]; + forall((Jrg+2)..length(FdL),ii, + tmp=FdL_ii; + if(isstring(tmp), + if(length(tmp)==0, + tmp=" "; + ); + DrwS=tmp; + ); + if(islist(tmp) & length(tmp_1)>1, + BdyL=tmp; + ); + ); + tmp=[DrwS,BdyL]; + Out=concat(Out,tmp); +); + +Surffun(nm,Fd):=( + regional(name,coord,var1,var2,rng1,rng2,bdy,tmp,tmp1,tmp2); + tmp=Fullformfunc(Fd); + rng1=tmp_5; + rng2=tmp_6; + bdy=tmp_7; + coord="["+tmp_2+","+tmp_3+","+tmp_4+"]"; + tmp=indexof(rng1,"="); + var1=substring(rng1,0,tmp-1); + rng1=substring(rng1,tmp,length(rng1)); + tmp=indexof(rng2,"="); + var2=substring(rng2,0,tmp-1); + rng2=substring(rng2,tmp,length(rng2)); + name="Sfn"+nm+"("+var1+","+var2+")"; + Deffun(name,["regional(tmp)","tmp="+coord,"tmp"]); + [name,var1,rng1,var2,rng2,bdy]; +); + +Sf3data(nm,fdata):=Sf3data(nm,fdata,[]); +Sf3data(nm,fdata,optionorg):=( + regional(tmp,tmp1,tmp2); + tmp=Surffun(nm,fdata); + tmp1=tmp_2+"="+tmp_3; + tmp2=tmp_4+"="+tmp_5; + Sf3data(nm,tmp_1,tmp1,tmp2,optionorg); +); +Sf3data(nm,funstr,var1,var2):=Sf3data(nm,funstr,var1,var2,[]); +Sf3data(nm,funstr,var1org,var2org,optionorg):=( +//help:Sf3data("1",Fd); +//help:Sf3data(options=["Num=[25,25]","Wire=[20,20]"]); + regional(name2,name3,var1,var2,Ltype,Noflg,opstr,opcindy,eqL,Num, + Wire,varu,varv,rngu,rngv,sfdtuL,sfdtvL,options, + tmp,tmp1,tmp2,tmp3); + var1=replace(var1org,"%pi","pi"); + var2=replace(var2org,"%pi","pi"); + tmp=Divoptions(optionorg); + Ltype=tmp_1; + Noflg=tmp_2; + eqL=tmp_5; + opstr=tmp_(length(tmp)-1); + opcindy=tmp_(length(tmp)); + options=optionorg; + Num=[25,25]; + Wire=[20,20]; + forall(eqL, + tmp=indexof(#,"="); + tmp1=substring(#,0,tmp-1); + tmp2=substring(#,tmp,length(#)); // 16.05.25 + tmp=Toupper(substring(tmp1,0,1)); + if(tmp=="N", + tmp2=parse(tmp2); + if(!islist(tmp2),tmp2=[tmp2,tmp2]); + Num=tmp2; + options=remove(options,[#]); + ); + if(tmp=="W", + tmp2=parse(tmp2); + if(!islist(tmp2),tmp2=[tmp2,tmp2]); + Wire=tmp2; + options=remove(options,[#]); + ); + ); + tmp=indexof(var1,"="); + varu=substring(var1,0,tmp-1); + rngu=parse(substring(var1,tmp,length(var1))); + tmp=indexof(var2,"="); + varv=substring(var2,0,tmp-1); + rngv=parse(substring(var2,tmp,length(var2))); + sfdtuL=[]; + forall(0..Wire_2, + tmp=rngv_1+#/Wire_2*(rngv_2-rngv_1); + tmp1=replace(funstr,varv,textformat(tmp,5)); + tmp="Num="+text(Num_2); + tmp2=concat(options,["Msg=no",tmp]); + Spacecurve(nm+"u"+#,tmp1,var1,tmp2); + sfdtuL=append(sfdtuL,"sc3d"+nm+"u"+#); + ); + sfdtvL=[]; + forall(0..Wire_1, + tmp=rngu_1+#/Wire_1*(rngu_2-rngu_1); + tmp1=replace(funstr,varu,textformat(tmp,5)); + tmp="Num="+text(Num_1); + tmp2=concat(options,["Msg=no",tmp]); + Spacecurve(nm+"v"+#,tmp1,var2,tmp2); + sfdtvL=append(sfdtvL,"sc3d"+nm+"v"+#); + ); + if(Noflg<3, + println(" generate totally "+"sf3d"+nm); + tmp1=""; + forall(sfdtuL, + tmp1=tmp1+Dq+#+Dq+","; + ); + tmp1=substring(tmp1,0,length(tmp1)-1); + tmp2=""; + forall(sfdtvL, + tmp2=tmp2+Dq+#+Dq+","; + ); + tmp2=substring(tmp2,0,length(tmp2)-1); + tmp="sf3d"+nm+"=[["+tmp1+"],["+tmp2+"]]"; + parse(tmp); + ); + [sfdtuL,sfdtvL]; +); + +Sfbdparadata(nm,fd):= + Sfbdparadata(nm,fd,[],["nodisp"]); +Sfbdparadata(nm,fd,options):= + Sfbdparadata(nm,fd,options,["nodisp"]); +Sfbdparadata(nm,fdorg,optionorg,optionsh):=( +//help:Sfbdparadata("1",Fd); +//help:Sfbdparadata(options2=["Wait=60",division(c(50,50)),Eps1(c(0.01,1)), Eps2(0.05)]); + regional(fd,options,name2,name3,name2h,name3h,waiting, + eqL,reL,strL,fname,tmp,tmp1,tmp2,flg,wflg); + name2="sfbd2d"+nm; + name3="sfbd3d"+nm; + name2h="sfbdh2d"+nm; + name3h="sfbdh3d"+nm; + fname=Fhead+"sfbd"+nm+".txt"; + tmp=apply(fdorg,if(isstring(#),"'"+#+"'",#)); + tmp=text(tmp); + fd=RSform(tmp,2); + options=optionorg; + tmp=Divoptions(options); + eqL=tmp_5; + reL=tmp_6; + strL=tmp_7; + waiting=120; + forall(eqL, + tmp=indexof(#,"="); + tmp1=Toupper(substring(#,0,1)); + tmp2=substring(#,tmp,length(#)); + if(tmp1=="W", + waiting=parse(tmp2); + options=remove(options,[#]); + ); + ); + options=remove(options,reL); + wflg=0; + forall(strL, + tmp=Toupper(substring(#,0,1)); + if(tmp=="M", + wflg=1; + options=remove(options,[#]); + ); + if(tmp=="R", + wflg=-1; + options=remove(options,[#]); + ); + ); + tmp=["fd"+nm]; + if(length(reL)>0, + reL=textformat(reL,4); + reL=substring(reL,1,length(reL)-1); + reL=Rsform(reL); + tmp=append(tmp,reL); + ); + tmp1=[Dqq(fname),Dqq(name3),name3,Dqq(name2),name2]; + tmp1=concat(tmp1,[Dqq(name3h),name3h,Dqq(name2h),name2h]); +// tmp1=concat(tmp1,[Dqq("CUSPPT"),"CUSPPT"]); +// tmp1=concat(tmp1,[Dqq("OTHERPARTITION"),"OTHERPARTITION"]); + tmp2=replace(fname,".txt",".dat"); //18.02.18 + cmdL=[ + "print",[Dqq("fd"+nm)], //18.02.22 + "fd"+nm+"="+fd,[], + name3+"=Sfbdparadata",tmp, + name2+"=Projpara",[name3], + name3h+"=HIDDENDATA",[], + name2h+"=Projpara",[name3h], + "WriteOutData",tmp1, + "save",["CUSPPT","OTHERPARTITION","file='"+tmp2+"'"] + ]; + tmp=replace(fname,".txt","end.txt"); + options=concat(options,["Out=no","Wait="+text(waiting),"Res="+tmp]); + if(wflg==1,options=append(options,"m")); + if(wflg==-1,options=append(options,"r")); + if(ErrFlag==0, + CalcbyR("sfbd"+nm,cmdL,options); + ); + if(ErrFlag==1, + err("Sfbdparadata not completed"); + , + ReadOutData(fname); + if(islist(parse(name2)), + Extractdata(name2,options); + if(length(optionsh)>0,tmp=optionsh,tmp=["nodisp"]); + Extractdata(name2h,tmp); + , + ErrFlag=1; + ); + ); +); + +Addpoints():=(//18.02.20 + if(isstring(ADDPOINT), + ADDPOINT; + , + "list()"; + ); +); +Addpoints(ptlist):=( +//help:Addpoints(list of 3d points); + if(length(ptlist)==0, + ADDPOINT="list()"; + , + ADDPOINT=Rsform(textformat(ptlist,6),2); + ); + ADDPOINT; +); + +Wireparadata(nm,sf,wr1,wr2,fd):= + Wireparadata(nm,sf,fd,wr1,wr2,[],["nodisp"]); +Wireparadata(nm,sf,fd,wr1,wr2,options):= + Wireparadata(nm,sf,fd,wr1,wr2,options,["nodisp"]); +Wireparadata(nm,sfstr,fdorg,wr1,wr2,optionorg,optionsh):=( +//help:Wireparadata("1","sfbd3d1",fd,5,5); +//help:Wireparadata(options2=[division(c(50,50)),Eps1(0.01), Eps2(0.05)]); + regional(fd,options,name2,name3,name2h,name3h,outreg, + eqL,reL,strL,fname,rfname,waiting,tmp,tmp1,tmp2,flg,wflg); + name2="wire2d"+nm; + name3="wiref3d"+nm; + name2h="wireh2d"+nm; + name3h="wireh3d"+nm; + fname=Fhead+"wire"+nm+".txt"; + rfname=Fhead+sfstr+".txt"; + rfname=replace(rfname,"3d",""); + tmp=apply(fdorg,if(isstring(#),"'"+#+"'",#)); + tmp=text(tmp); + fd=RSform(tmp,2); + options=optionorg; + tmp=Divoptions(options); + eqL=tmp_5; + reL=tmp_6; + strL=tmp_7; + waiting=600; + forall(eqL, + tmp=indexof(#,"="); + tmp1=Toupper(substring(#,0,1)); + tmp2=substring(#,tmp,length(#)); + if(tmp1=="W", + waiting=parse(tmp2); + options=remove(options,[#]); + ); + ); + options=remove(options,reL); + wflg=0; + forall(strL, + tmp=Toupper(substring(#,0,1)); + if(tmp=="M", + wflg=1; + options=remove(options,[#]); + ); + if(tmp=="R", + wflg=-1; + options=remove(options,[#]); + ); + ); + tmp1=textformat(wr1,6); + tmp1=Rsform(tmp1,1); + tmp2=textformat(wr2,6); + tmp2=Rsform(tmp2,1); + tmp=[sfstr,"fd"+nm,tmp1,tmp2]; + reL=RSform(text(reL),2); + reL=substring(reL,5,length(reL)-1); + if(length(reL)>0, + reL=textformat(reL,4); + reL=substring(reL,1,length(reL)-1); + reL=Rsform(reL); + tmp=append(tmp,reL); + ); + tmp1=[Dqq(fname),Dqq(name3),name3,Dqq(name2),name2]; + tmp1=concat(tmp1,[Dqq(name3h),name3h,Dqq(name2h),name2h]); + tmp2=replace(rfname,".txt",".dat"); + cmdL=[ + "print",[Dqq("wire"+nm)], //18.02.22 + "fd"+nm+"="+fd,[], + "ReadOutData",[Dqq(rfname)], + "load",[Dqq(tmp2)], + "Addpoints",[Addpoints()], + name3+"=Wireparadata",tmp, + name2+"=Projpara",[name3], + name3h+"=WIREHIDDENDATA",[], + name2h+"=Projpara",[name3h], + "WriteOutData",tmp1 + ]; + tmp=replace(fname,".txt","end.txt"); + options=concat(options,["Out=no","Wait="+text(waiting),"Res="+tmp]); + if(wflg==1,options=concat(options,["m"])); + if(wflg==-1,options=concat(options,["r"])); + if(ErrFlag==0, + CalcbyR("wire"+nm,cmdL,options); + ); + if(ErrFlag==1, + err("Wireparadata not completed"); + , + ReadOutData(fname); + if(islist(parse(name2)), + Extractdata(name2,options); + if(length(optionsh)>0,tmp=optionsh,tmp=["nodisp"]); + Extractdata(name2h,tmp); + , + ErrFlag=1; + ); + ); +); + +Crvsfparadata(nm,crv,sf,fd):= + Crvsfparadata(nm,crv,sf,fd,[],["nodisp"]); +Crvsfparadata(nm,crv,sf,fd,options):= + Crvsfparadata(nm,crv,sf,fd,options,["nodisp"]); +Crvsfparadata(nm,crvstr,sfstr,fdorg,optionorg,optionsh):=( +//help:Crvsfparadata("1","ax3d","sfbd3d1",fd); +//help:Crvsfparadata(options2=[division(c(50,50)),Eps1(0.01), Eps2(0.05)]); + regional(gd,out,fd,options,name2,name3,name2h,name3h, + eqL,reL,strL,fname,rfname,waiting,tmp,tmp1,tmp2,tmp3,flg,wflg); + tmp=replace(crvstr,"3d","2d"); + Changestyle(tmp,["nodisp"]); + name2="crvsf2d"+nm; + name3="crvsf3d"+nm; + name2h="crvsfh2d"+nm; + name3h="crvsfh3d"+nm; + fname=Fhead+"crvsf"+nm+".txt"; + rfname=Fhead+sfstr+".txt"; + rfname=replace(rfname,"3d",""); + tmp=apply(fdorg,if(isstring(#),"'"+#+"'",#)); + tmp=text(tmp); + fd=RSform(tmp,2); + options=optionorg; + tmp=Divoptions(options); + eqL=tmp_5; + reL=tmp_6; + strL=tmp_7; + waiting=120; + forall(eqL, + tmp=indexof(#,"="); + tmp1=Toupper(substring(#,0,1)); + tmp2=substring(#,tmp,length(#)); + if(tmp1=="W", + waiting=parse(tmp2); + options=remove(options,[#]); + ); + ); + options=remove(options,reL); + wflg=0; + forall(strL, + tmp=Toupper(substring(#,0,1)); + if(tmp=="M", + wflg=1; + options=remove(options,[#]); + ); + if(tmp=="R", + wflg=-1; + options=remove(options,[#]); + ); + ); + reL=RSform(text(reL),2); + reL=substring(reL,5,length(reL)-1); + tmp=[crvstr,sfstr,"fd"+nm]; + if(length(reL)>0, + reL=textformat(reL,4); + reL=substring(reL,1,length(reL)-1); + reL=Rsform(reL); + tmp=append(tmp,reL); + ); + tmp1=[DqDq(fname),DqDq(name3),name3,DqDq(name2),name2]; + tmp1=concat(tmp1,[DqDq(name3h),name3h,DqDq(name2h),name2h]); + tmp2=replace(rfname,".txt",".dat"); + cmdL=[ + "print",[Dqq("crv"+nm)], //18.02.22 + "fd"+nm+"="+fd,[], + "ReadOutData",[Dqq(rfname)], + "load",[Dqq(tmp2)], + "Addpoints",[Addpoints()] + ]; + tmp3=select(GLIST,indexof(#,crvstr+"=")>0); //18.02.22from + if(length(tmp3)==0, + tmp3=Fhead+crvstr+".txt"; + tmp3=replace(tmp3,"3d",""); + cmdL=concat(cmdL,[ + "ReadOutData",[Dqq(tmp3)] + ]); + ); //18.02.22until + cmdL=concat(cmdL,[ + name3+"=Crvsfparadata",tmp, + name2+"=Projpara",[name3], + name3h+"=CRVSFHIDDENDATA",[], + name2h+"=Projpara",[name3h], + "WriteOutData",tmp1 + ]); + tmp=replace(fname,".txt","end.txt"); + options=concat(options,["Out=no","Wait="+text(waiting),"Res="+tmp]); + if(wflg==1,options=append(options,"m")); + if(wflg==-1,options=append(options,"r")); + if(ErrFlag==0, + CalcbyR("crvsf"+nm,cmdL,options); + ); + if(ErrFlag==1, + err("Crvsfparadata not completed"); + , + ReadOutData(fname); + if(islist(parse(name2)), + Extractdata(name2,options); + if(length(optionsh)>0,tmp=optionsh,tmp=["nodisp"]); + Extractdata(name2h,tmp); + , + ErrFlag=1; + ); + ); +); + +Crvonsfparadata(nm,crv2d,sf,fd):= + Crvsonfparadata(nm,crv2d,sf,fd,[],["nodisp"]); +Crvonsfparadata(nm,crv2d,sf,fd,options):= + Crvonsfparadata(nm,crv2d,sf,fd,options,["nodisp"]); +Crvonsfparadata(nm,crv2dstr,sfstr,fdorg,optionorg,optionsh):=( +//help:Crvonsfparadata("1",["[1,t]","t=[0,2*pi]","Num=50"],"sfbd3d1",fd); +//help:Crvonsfparadata(options2=[division(c(50,50)),Eps1(0.01), Eps2(0.05)]); + regional(gd,out,fd,options,name2,name3,name2h,name3h, + eqL,reL,strL,fname,rfname,waiting,tmp,tmp1,tmp2,tmp3,flg,wflg); + name2="crvonsf2d"+nm; + name3="crvonsf3d"+nm; + name2h="crvonsfh2d"+nm; + name3h="crvonsfh3d"+nm; + fname=Fhead+"crvonsf"+nm+".txt"; + rfname=Fhead+sfstr+".txt"; + rfname=replace(rfname,"3d",""); + tmp=apply(fdorg,if(isstring(#),Dqq(#),#)); + tmp=text(tmp); + fd=RSform(tmp,2); + options=optionorg; + tmp=Divoptions(options); + eqL=tmp_5; + reL=tmp_6; + strL=tmp_7; + waiting=120; + forall(eqL, + tmp=indexof(#,"="); + tmp1=Toupper(substring(#,0,1)); + tmp2=substring(#,tmp,length(#)); + if(tmp1=="W", + waiting=parse(tmp2); + options=remove(options,[#]); + ); + ); + options=remove(options,reL); + wflg=0; + forall(strL, + tmp=Toupper(substring(#,0,1)); + if(tmp=="M", + wflg=1; + options=remove(options,[#]); + ); + if(tmp=="R", + wflg=-1; + options=remove(options,[#]); + ); + ); + if(isstring(crv2dstr), + crv=Rsform(crv2dstr); + , + crv=apply(crv2dstr,Dqq(#)); + crv=Rsform(text(crv)); + crv="Paramplot"+substring(crv,1,length(crv)); + ); + reL=RSform(text(reL),2); + reL=substring(reL,5,length(reL)-1); + tmp=["crv",sfstr,"fd"+nm]; + if(length(reL)>0, + reL=textformat(reL,4); + reL=substring(reL,1,length(reL)-1); + reL=Rsform(reL); + tmp=append(tmp,reL); + ); + tmp1=[Dqq(fname),Dqq(name3),name3,Dqq(name2),name2]; + tmp1=concat(tmp1,[Dqq(name3h),name3h,Dqq(name2h),name2h]); + tmp2=replace(rfname,".txt",".dat"); + cmdL=[ + "print",[Dqq("crvonsf"+nm)], //18.02.22 + "fd"+nm+"="+fd,[], + "ReadOutData",[Dqq(rfname)], + "load",[Dqq(tmp2)], + "Addpoints",[Addpoints()], + "crv="+crv,[], + name3+"=Crvonsfparadata",tmp, + name2+"=Projpara",[name3], + name3h+"=HIDDENDATA",[], + name2h+"=Projpara",[name3h], + "WriteOutData",tmp1 + ]; + tmp=replace(fname,".txt","end.txt"); + options=concat(options,["Out=no","Wait="+text(waiting),"Res="+tmp]); + if(wflg==1,options=append(options,"m")); + if(wflg==-1,options=append(options,"r")); + if(ErrFlag==0, + CalcbyR("crvonsf"+nm,cmdL,options); + ); + if(ErrFlag==1, + err("Crvonsfparadata not completed"); + , + ReadOutData(fname); + if(islist(parse(name2)), + Extractdata(name2,options); + if(length(optionsh)>0,tmp=optionsh,tmp=["nodisp"]); + Extractdata(name2h,tmp); + , + ErrFlag=1; + ); + ); +); + +Intersectcrvsf(nm,crv,fd):=Intersectcrvsf(nm,crv,fd,"",[]); +Intersectcrvsf(nm,crv,fd,Arg):=( + if(isstring(Arg), + Intersectcrvsf(nm,crv,fd,Arg,[]); + , + Intersectcrvsf(nm,crv,fd,"",Arg); + ); +); +Intersectcrvsf(nm,crvstr,fdorg,bdyeq,optionorg):=( +//help:Intersectcrvsf("1",curve,fd); +//help:Intersectcrvsf("1",curve,fd,curveequation); +//help:Intersectcrvsf(options=[Np([50,50]),Eps(0.01)]); + regional(name,crv,fd,options,reL,fname,crvfname,argR, + waiting,tmp,tmp1,tmp2,flg,wflg,pts); name="crvsf"+nm; + name="crvsf"+nm; + fname=Fhead+name+".txt"; + crvfname=Fhead+"crv"+nm+".txt"; +// crv=parse(crvstr); +// crv=textformat(crv,6); +// crv=Rsform(crv,2); + fd=apply(fdorg,if(isstring(#),Dqq(#),#)); + options=optionorg; + tmp=Divoptions(options); + eqL=tmp_5; + reL=tmp_6; + strL=tmp_7; + waiting=120; + forall(eqL, + tmp=indexof(#,"="); + tmp1=Toupper(substring(#,0,1)); + tmp2=substring(#,tmp,length(#)); + if(tmp1=="W", + waiting=parse(tmp2); + options=remove(options,[#]); + ); + ); + options=remove(options,reL); + wflg=0; + forall(strL, + tmp=Toupper(substring(#,0,1)); + if(tmp=="M", + wflg=1; + options=remove(options,[#]); + ); + if(tmp=="R", + wflg=-1; + options=remove(options,[#]); + ); + ); + tmp=apply(fdorg,if(isstring(#),"'"+#+"'",#)); + tmp=text(tmp); + fd=RSform(tmp,2); + tmp=textformat(reL,4); + tmp=substring(tmp,1,length(tmp)-1); + tmp=Rsform(tmp); + if(length(bdyeq)>0, + argR=","+Dqq(bdyeq); + , + argR=""; + ); + if(length(tmp)>0, + argR=argR+","+tmp; + ); + tmp1=[Dqq(fname),Dqq(name),"tmp"]; + cmdL=[ + "print",[Dqq("crvsf"+nm)], //18.02.22 + "crv="+crvstr,[], + "fd="+fd,[], + "tmp1=Intersectcrvsf(crv,fd"+argR+")",[], + "tmp=c()",[], + "for(j in Looprange(1,length(tmp1))){",[], + " tmp=Appendrow(tmp,tmp1[[j]])",[], + "}",[], + "WriteOutData",tmp1, + "tmp",[] + ]; + tmp=replace(fname,".txt","end.txt"); + options=concat(options,["Out=no","Wait="+text(waiting),"Res="+tmp]); + if(wflg==1,options=append(options,"m")); + if(wflg==-1,options=append(options,"r")); + if(ErrFlag==1, + err("Crvsfparadata not completed"); + , + CalcbyR("ans",cmdL,options); + ReadOutData(fname); + ); + println("generate "+name); + parse(name); +); + +Sfcutparadata(nm,eqstr,sf,fd):= + Sfcutparadata(nm,eqstr,sf,fd,[]); +Sfcutparadata(nm,eqstr,sf,fd,options):= + Sfcutparadata(nm,eqstr,sf,fd,options,["nodisp"]); +Sfcutparadata(nm,eqstr,sf,fdorg,optionorg,optionsh):=( +//help:Sfcutparadata("1","x+y+z=1","sfbd3d1",fd,"x+y+z=1"); +//help:Sfcutparadata(options2=[division(c(50,50)),Eps1(0.01), Eps2(0.05)]); + regional(gd,out,fd,options,name2,name3,name2h,name3h, + eqL,reL,strL,fname,rfname,waiting,tmp,tmp1,tmp2,tmp3,flg,wflg); + tmp=replace(sfcut,"3d","2d"); + Changestyle(tmp,["nodisp"]); + name2="sfcut2d"+nm; + name3="sfcut3d"+nm; + name2h="sfcuth2d"+nm; + name3h="sfcuth3d"+nm; + fname=Fhead+"sfcut"+nm+".txt"; + rfname=Fhead+sf+".txt"; + rfname=replace(rfname,"3d",""); + tmp=apply(fdorg,if(isstring(#),"'"+#+"'",#)); + tmp=text(tmp); + fd=RSform(tmp,2); + options=optionorg; + tmp=Divoptions(options); + eqL=tmp_5; + reL=tmp_6; + strL=tmp_7; + waiting=120; + forall(eqL, + tmp=indexof(#,"="); + tmp1=Toupper(substring(#,0,1)); + tmp2=substring(#,tmp,length(#)); + if(tmp1=="W", + waiting=parse(tmp2); + options=remove(options,[#]); + ); + ); + options=remove(options,reL); + wflg=0; + forall(strL, + tmp=Toupper(substring(#,0,1)); + if(tmp=="M", + wflg=1; + options=remove(options,[#]); + ); + if(tmp=="R", + wflg=-1; + options=remove(options,[#]); + ); + ); + reL=RSform(text(reL),2); + reL=substring(reL,5,length(reL)-1); + tmp=[Dqq(eqstr),sf,"fd"+nm]; + if(length(reL)>0, + reL=textformat(reL,4); + reL=substring(reL,1,length(reL)-1); + reL=Rsform(reL); + tmp=append(tmp,reL); + ); + tmp1=[DqDq(fname),DqDq(name3),name3,DqDq(name2),name2]; + tmp1=concat(tmp1,[DqDq(name3h),name3h,DqDq(name2h),name2h]); + tmp2=replace(rfname,".txt",".dat"); + cmdL=[ + "print",[Dqq("sfcut"+nm)], //18.02.22 + "fd"+nm+"="+fd,[], + "ReadOutData",[Dqq(rfname)], + "load",[Dqq(tmp2)], + name3+"=Sfcutparadata",tmp, + name2+"=Projpara",[name3], + name3h+"=CRVONSFHIDDENDATA",[], + name2h+"=Projpara",[name3h], + "WriteOutData",tmp1 + ]; + tmp=replace(fname,".txt","end.txt"); + options=concat(options,["Out=no","Wait="+text(waiting),"Res="+tmp]); + if(wflg==1,options=append(options,"m")); + if(wflg==-1,options=append(options,"r")); + if(ErrFlag==0, + CalcbyR("sfcut"+nm,cmdL,options); + ); + if(ErrFlag==1, + err("Sfcutparadata not completed"); + , + ReadOutData(fname); + if(islist(parse(name2)), + Extractdata(name2,options); + if(length(optionsh)>0,tmp=optionsh,tmp=["nodisp"]); + Extractdata(name2h,tmp); + , + ErrFlag=1; + ); + ); +); + +Skeletonparadata(nm):=Skeletondatacindy(nm,[]); +Skeletonparadata(nm,options):=Skeletondatacindy(nm,options); +Skeletonparadata(nm,pltdata1,pltdata2):=Skeletondatacindy(nm,pltdata1,pltdata2); +Skeletonparadata(nm,pltdata1org,pltdata2org,options):= + Skeletondatacindy(nm,pltdata1org,pltdata2org,options); + + +////////////// new skeleton 2018.01.04 not completed and slow//////////////// + +Skeletondatacindy(nm):=Skeletondatacindy(nm,[]); +Skeletondatacindy(nm,options):=( + regional(tmp); + tmp=Datalist3d(); + Skeletondatacindy(nm,tmp,tmp,options); +); +Skeletondatacindy(nm,pltdata1,pltdata2):= + Skeletondatacindy(nm,pltdata1,pltdata2,[]); +Skeletondatacindy(nm,pltdata1org,pltdata2org,options):=( +//help:Skeletonparadata("1"); +//help:Skeletonparadata("1",[pdata1,pdata2],[pdata3]); +//help:Skeletondata(options2=[1(width)]); + regional(Eps,Eps2,name2,name3,Ltype,Noflg,reL,opcindy, + Data,Out,ObjL,Plt3L,Rr,pltdata1,pltdata2,Plt2L,ObjL,ii,Data, + Obj3,jj,Gd,PtD,size,tmp,tmp1,tmp2); + name2="sk2d"+nm; + name3="sk3d"+nm; + pltdata1=[];// 16.01.31 + forall(pltdata1org,tmp1, + tmp=parse(tmp1); + pltdata1=append(pltdata1,tmp); + ); + pltdata2=[];// 16.01.31 + forall(pltdata2org,tmp1, + tmp=parse(tmp1); + pltdata2=append(pltdata2,tmp); + ); + tmp=Divoptions(options); + Ltype=tmp_1; + Noflg=tmp_2; + reL=tmp_6; //16.02.28 + opcindy=tmp_9; + Rr=0.15*1000/2.54/MilliIn; + size=1; + Eps2=0.05; + if(length(reL)>0, //16.02.28 + size=reL_1; + Rr=size*Rr; + if(length(reL)>1,Eps2=reL_2); + ); + Eps=10^(-4); + ObjL=Flattenlist(pltdata1); + PltL=Flattenlist(pltdata2); + Data=Makeskeletondata(ObjL,PltL,Rr); + Out=select(Data,length(Projcurve(#))>0); + Out=Flattenlist(Out); + tmp1=apply(Out,textformat(#,5)); + tmp=name3+"="+tmp1; + parse(tmp); + tmp=name2+"=Projcurve("+name3+");"; + parse(tmp); + Changestyle3d(pltdata1org,["nodisp"]); + if(Noflg<3, + println("generate skeleton :"+name3); + tmp1=text(pltdata1org); + tmp1="list("+substring(tmp1,1,length(tmp1)-1)+")"; + tmp2=text(pltdata2org); + tmp2="list("+substring(tmp2,1,length(tmp2)-1)+")"; + tmp=name3+"=Skeletonpara3data("+tmp1+","+tmp2+","; + tmp=tmp+text(size)+")"; + GLIST=append(GLIST,tmp); + tmp=name2+"=Projpara("+name3+")"; + GLIST=append(GLIST,tmp); + ); + if(Noflg<2, + if(isstring(Ltype), + Ltype=GetLinestyle(text(Noflg)+Ltype,name2); + , + if(Noflg==1,Ltype=0); + ); + GCLIST=append(GCLIST,[name2,Ltype,opcindy]); + if(SUBSCR==1, + Subgraph(name3,opcindy); + ); + ); + Out; +); + +Makeskeletondata(ObjL,PltL,R0):=( + regional(Allres,res,Eps1,obj,plt,obj2,remov,flg,koc,z1,z2,Rr,str, + mm,nn,kk,ptk,pL,pt,ptL,tmp,tmp1,tmp2,tmp3,tmp3d); + Eps1=10.0^(-2); + Allres=[]; + forall(1..(length(ObjL)),mm, + obj=ObjL_mm; + remov=[]; + obj2=Projcurve(obj); + forall(1..(length(PltL)),nn, + plt=PltL_nn; + tmp=Projcurve(plt); + koc=IntersectcurvesPp(obj2,tmp); + forall(1..(length(koc)),kk, + ptk=koc_kk; + tmp=PointonCurve(ptk_2,obj); + z1=Zparapt(tmp); + tmp=PointonCurve(ptk_3,plt); + z2=Zparapt(tmp); + if(z1<z2-Eps1, + tmp=max([sqrt(1-(ptk_5)^2),0.75]); + Rr=R0/tmp; + tmp2=[]; + flg=0; + tmp=reverse(1..(floor(ptk_2))); + forall(tmp, + if(flg==0, + if(|obj2_#-ptk_1|>Rr, + tmp2=[#]; + flg=1; + ); + ); + ); + if(length(tmp2)==0,tmp2=[1]); + flg=0; + tmp=(ceil(ptk_2))..(length(obj2)); + forall(tmp, + if(flg==0, + if(|obj2_#-ptk_1|>Rr, + tmp2=append(tmp2,#); + flg=1; + ); + ); + ); + if(length(tmp2)==1,tmp2=append(tmp2,length(obj2))); + tmp=obj2_((tmp2_1)..(tmp2_2)); + tmp1=Circledata("",[ptk_1,ptk_1+[Rr,0]],["Num=8","nodata"]); + tmp1=Intersectcurves(tmp,tmp1); + if(length(tmp1)==2, + tmp=sort([tmp1_1_2,tmp1_2_2]); + tmp=[[tmp2_1-1+tmp_1,1],[tmp2_1-1+tmp_2,-1]]; + remov=concat(remov,tmp); + ); + if(length(tmp1)==1, + if(tmp2_1==1, + tmp=[[1,1],[tmp2_1-1+tmp1_1_2,-1]]; + , + tmp=[[tmp2_1-1+tmp1_1_2,1],[length(obj2),-1]]; + ); + remov=concat(remov,tmp); + ); + ); + ); + ); + if(length(remov)==0, + res=obj; + , + res=[]; + remov=sort(remov,[#_1,#_2]); + tmp=select(remov,#_1<1-Eps1); + if(length(tmp)==0, + flg=0; + res=[1]; + , + flg=length(tmp); + res=[]; + ); + forall(remov, + tmp=flg; + if(#_2==-1, + flg=flg-1; + if(flg==0,res=append(res,#_1)); + ); + if(#_2==1, + flg=flg+1; + if(tmp==0,res=append(res,#_1)); + ); + ); + if((flg==0)&(res_(length(res))<length(obj)), + res=append(res,length(obj)); + ); + tmp=res; + res=[]; + forall(1..(length(tmp)/2),nn, + tmp1=tmp_(2*nn-1); + tmp2=tmp_(2*nn); + pL=(ceil(tmp1))..(floor(tmp2)); + if(tmp1<ceil(tmp1)-Eps1,pL=prepend(tmp1,pL)); + if(tmp2>floor(tmp2)+Eps1,pL=append(pL,tmp2)); + ptL=[]; + forall(pL, + pt=PointonCurve(#,obj); + ptL=append(ptL,pt); + ); + res=append(res,ptL); + ); + ); + Allres=append(Allres,res); + ); + Allres; +); + +////////////// current skeleton 2018.01.04 //////////////// + +Skeletondatacindy(nm):=Skeletondatacindy(nm,[]); +Skeletondatacindy(nm,options):=( + regional(tmp); + tmp=Datalist3d(); + Skeletondatacindy(nm,tmp,tmp,options); +); +Skeletondatacindy(nm,pltdata1,pltdata2):= + Skeletondatacindy(nm,pltdata1,pltdata2,[]); +Skeletondatacindy(nm,pltdata1org,pltdata2org,options):=( +//help:Skeletondatacindy("1"); +//help:Skeletondatacindy("1",[pdata1,pdata2],[pdata3]); +//help:Skeletondatacindy(options2=[1(width)]); + regional(Eps,Eps2,name2,name3,Ltype,Noflg,reL,opcindy, + Out,ObjL,Plt3L,Rr,pltdata1,pltdata2,Plt2L,ObjL,ii,Data, + Obj3,jj,Gd,PtD,size,tmp,tmp1,tmp2); + name2="sk2d"+nm; + name3="sk3d"+nm; + pltdata1=[];// 16.01.31 + forall(pltdata1org,tmp1, + tmp=parse(tmp1); + pltdata1=append(pltdata1,tmp); + ); + pltdata2=[];// 16.01.31 + forall(pltdata2org,tmp1, + tmp=parse(tmp1); + pltdata2=append(pltdata2,tmp); + ); + tmp=Divoptions(options); + Ltype=tmp_1; + Noflg=tmp_2; + reL=tmp_6; //16.02.28 + opcindy=tmp_9; + Rr=0.075*1000/2.54/MilliIn; + size=1; + Eps2=0.05; + if(length(reL)>0, //16.02.28 + size=reL_1; + Rr=size*Rr; + if(length(reL)>1,Eps2=reL_2); + ); + Eps=10^(-4); + ObjL=Flattenlist(pltdata1); + Plt3L=Flattenlist(pltdata2); + tmp=apply(Plt3L,ProjcoordCurve(#)); + Plt2L=Flattenlist(tmp); +/////////// tmp=apply(pltdata1,replace(#,"3d","2d")); + Out=[]; + forall(1..(length(ObjL)),ii, + Obj3=ObjL_ii; + tmp=ProjcoordCurve(Obj3); + Data=Makeskeletondata([tmp],Plt2L,Rr,Eps2); + forall(1..(length(Data)),jj, + Gd=Data_jj; + if((length(Gd)>1) + & (norm(Ptcrv(1,Gd)-Ptcrv(2,Gd))>Eps), + PtD=[]; + forall(1..(length(Gd)), + tmp=Gd_#; + tmp1=Invparapt(tmp,Obj3); + PtD=append(PtD,tmp1); + ); + Out=append(Out,PtD); + ); + ); + ); + Out=select(Out,length(Projcurve(#))>0); // 16.12.19 + tmp1=apply(Out,textformat(#,5)); + tmp=name3+"="+tmp1; + parse(tmp); + tmp=name2+"=Projcurve("+tmp1+");"; + parse(tmp); + Changestyle3d(pltdata1org,["nodisp"]); + if(Noflg<3, + println("generate skeleton :"+name3); + tmp1=text(pltdata1org); + tmp1="list("+substring(tmp1,1,length(tmp1)-1)+")"; + tmp2=text(pltdata2org); + tmp2="list("+substring(tmp2,1,length(tmp2)-1)+")"; + tmp=name3+"=Skeletonpara3data("+tmp1+","+tmp2+","; + tmp=tmp+text(size)+")"; + GLIST=append(GLIST,tmp); + tmp=name2+"=Projpara("+name3+")"; + GLIST=append(GLIST,tmp); + ); + if(Noflg<2, + if(isstring(Ltype), + Ltype=GetLinestyle(text(Noflg)+Ltype,name2); + , + if(Noflg==1,Ltype=0); + ); + GCLIST=append(GCLIST,[name2,Ltype,opcindy]); + if(SUBSCR==1, + Subgraph(name3,opcindy); + ); + ); + Out; +); + +Makeskeletondata(Obj2L,Plt2L,R0,Eps2):=( + regional(Allres,Eps,Dmat,Dind,ii,Dt,nn1,nn2,Nind,Nobj, + Plt2,PhL,ClipL,ns,pt1,pt2,pt,pta,ptb,za,zb,z1,z2,t1,t2,te, + koc,KukanL,nn,tt,Rr,Flg,ii,jj,ptq,hh,Ku,Res,contflg,breakflg); + Eps=10.0^(-4); + Dmat=[]; + Dind=[]; + forall(1..(length(Plt2L)),ii, + Dt=Plt2L_ii; + nn1=length(Dmat)+1; + Dmat=concat(Dmat,Dt); + nn2=length(Dmat); + Dind=append(Dind,[nn1,nn2]); + ); + Nind=length(Dind); + Allres=[]; + forall(1..(length(Obj2L)),Nobj, + Plt2=Obj2L_Nobj; + PhL=Columnlist(Plt2,1..2); + ClipL=[]; + forall(1..(length(PhL)-1),ns, + pt1=PhL_(ns..(ns+1)); + forall(1..(length(Dind)),ii, + tmp=Dind_ii; + tmp=Dmat_(Dind_ii_1..Dind_ii_2); + pt2=Columnlist(tmp,1..2); + koc=IntersectcrvsPp(pt1,pt2,[Eps]); + if(length(koc)>0, + breakflg=0; + forall(1..(length(koc)),jj, + contflg=0; + if(breakflg==0, + pt=Op(1,Op(jj,koc)); + tmp=Op(2,Op(jj,koc)); + if((tmp<1+Eps) & (ns==1), + contflg=1; + ); + if(contflg==0, + if((tmp>length(pt1)-Eps) + & (ns==length(PhL)-1), + contflg=1; + ); + ); + if(contflg==0, + nn1=ns; + nn2=Op(3,Op(jj,koc)); + tmp=Plt2_nn1; + pta=tmp_(1..2); + za=tmp_3; + tmp=Plt2_(nn1+1); + ptb=tmp_(1..2); + zb=tmp_3; + if(norm(pta-ptb)<Eps, + contflg=1; + ); + ); + if(contflg==0, + t1=norm(pta-pt)/norm(pta-ptb); + z1=(1-t1)*za+t1*zb; + tmp=Dmat_(Dind_ii_1..Dind_ii_2); + tmp1=tmp_nn2; + pta=tmp1_(1..2); + za=tmp1_3; + tmp2=tmp_(nn2+1); + ptb=tmp2_(1..2); + zb=tmp2_3; + if(norm(pta-ptb)<Eps, + contflg=1; + ); + ); + if(contflg==0, + t2=norm(pta-pt)/norm(pta-ptb); + z2=(1-t2)*za+t2*zb; + if(z1<z2-Eps2, + if(length(ClipL)==0, + tmp=1; + , + tmp1=column(ClipL,1); + tmp1=apply(tmp1,#-pt_1); + tmp2=column(ClipL,2); + tmp2=apply(tmp2,#-pt_2); + tmp3=apply(tmp1,#^2)+apply(tmp2,#^2); + tmp=min(tmp3); + ); + if(tmp>Eps^2, + tmp1=pt1_2-pt1_1; + tmp2=ptb-pta; + tmp3=Dotprod(tmp1,tmp2); + tmp3=tmp3/norm(tmp1)/norm(tmp2); + tmp=1-0.5*tmp3^2; + tmp1=concat(pt,[nn1,t1,R0/tmp]); + ClipL=append(ClipL,tmp1); + ); + ); + ); + ); + ); + ); + ); + ); + te=length(Plt2); + KukanL=[[1.0,te]]; + pt1=PhL; + if(length(ClipL)>0, + forall(1..(length(ClipL)),ii, + tmp=ClipL_ii; + pt=tmp_(1..2); + nn=tmp_3; + tt=nn+tmp_4; + Rr=tmp_5; + Flg=0; + breakflg=0; + forall(reverse(1..nn),jj, + contflg=0; + if(breakflg==0, + ptq=PointonCurve(jj,pt1); + if(norm(pt-ptq)<Rr, + contflg=1; + ); + if(contflg==0, + Flg=jj; + breakflg=1; + contflg=1; + ); + ); + ); + if(Flg==0, + t1=1; + , + t1=Flg; t2=tt; + hh=t2-t1; + forall(1..10, + hh=hh*0.5; + ptq=PointonCurve(t1+hh,pt1); + if(norm(pt-ptq)<Rr, + t2=t2-hh; + , + t1=t1+hh; + ); + ); + ); + Ku=[t1]; + Flg=0; + breakflg=0; + forall((nn+1)..te,jj, + contflg=0; + if(breakflg==0, + ptq=PointonCurve(jj,pt1); + if(norm(pt-ptq)<Rr, + contflg=1; + ); + if(contflg==0, + Flg=jj; + breakflg=1; + contflg=1; + ); + ); + ); + if(Flg==0, + t2=te; + , + t1=tt; t2=Flg; + hh=t2-t1; + forall(1..10, + hh=hh*0.5; + ptq=PointonCurve(t1+hh,pt1); + if(norm(pt-ptq)<Rr, + t1=t1+hh; + , + t2=t2-hh; + ); + ); + ); + Ku=append(Ku,t2); + KukanL=Kukannozoku(Ku,KukanL); + ); + ); + Res=[]; + forall(1..(length(KukanL)),ii, + tmp=KukanL_ii; + t1=tmp_1; nn1=floor(t1); + t2=tmp_2; nn2=floor(t2); + PtL=[]; + if(t1-nn1<1-Eps, + tmp=PointonCurve(t1,pt1); + PtL=[tmp]; + ); + forall((nn1+1)..nn2,jj, + tmp=PointonCurve(jj,pt1); + PtL=append(PtL,tmp); + ); + if(t2-nn2>Eps, + tmp=PointonCurve(t2,pt1); + PtL=append(PtL,tmp); + ); + tmp=Listplot("",PtL,["nodata"]); + Res=append(Res,tmp); + ); + Allres=concat(Allres,Res); + ); + Allres; +); + +Kukannozoku(Jokyo,KukanL):=( + regional(Res,Eps,nn,ii,t1,t2,Ku,Flg,contflg,tmp,tmp1); + Eps=10^(-6); + nn=length(KukanL); + t1=Jokyo_1; t2=Jokyo_2; + tmp=KukanL_1; + t1=max(t1,tmp_1); + tmp=KukanL_nn; + t2=min(t2,tmp_2); + Res=[]; + Flg=0; + contflg=0; + forall(1..nn,ii, + if(contflg==0, + Ku=KukanL_ii; + if(Flg==0, + if(Ku_2<t1, + Res=append(Res,Ku); + , + Flg=1; + if(Ku_1<t1-Eps, + tmp=[Ku_1,t1]; + Res=append(Res,tmp); + ); + if(Ku_2>t2+Eps, + tmp=[t2,Ku_2]; + Res=append(Res,tmp); + ); + ); + , + if(Flg==1, + if(Ku_2<t2, + contflg=1; + , + if(contflg==0, + Flg=2; + if(Ku_1<t2-Eps, + Ku=[t2,Ku_2]; + ); + Res=append(Res,Ku); + ); + ); + , + if(contflg==0, + Res=append(Res,Ku); + ); + ); + ); + ); + ); + Res; +); + +////////////////// end of current skeleton////////////// + +ProjcoordCurve(Curve):=( + regional(SP,CP,ST,CT,Out,jj,pt,x,y,z,xz,yz,zz); + SP=sin(PHI); CP=cos(PHI); + ST=sin(THETA); CT=cos(THETA); + Out=[]; + forall(1..(length(Curve)),jj, + pt=Curve_jj; + x=pt_1; y=pt_2; z=pt_3; + xz=-x*SP+y*CP; + yz=-x*CP*CT-y*SP*CT+z*ST; + zz=x*CP*ST+y*SP*ST+z*CT; + Out=append(Out,[xz,yz,zz]); + ); + Out; +); + +Divnohidhid(nm,dt3dorg,nvec):=Divnohidhid(nm,dt3dorg,nvec,[],["do"]); +Divnohidhid(nm,dt3dorg,nvec,optionorg,options2):=( +//help:Divnohidhid("1","sc3d1",nvec,["Num=100"],["Num=100","do"]); + regional(name,dt3d,options,pvec,disp,nohid,hid,flg,tmp,tmp1,eqL); + name="nh"+nm; + options=optionorg; + tmp=Divoptions(options); + eqL=tmp_5; + disp="Y"; + forall(eqL, + tmp=Toupper(substring(#,0,1)); + if(tmp=="D", + tmp=indexof(#,"="); + disp=Toupper(substring(#,tmp,tmp+1)); + options=remove(options,[#]); + ); + ); + if(isstring(dt3dorg),dt3d=parse(dt3dorg),dt3d=dt3dorg); + pvec=[sin(THETA)*cos(PHI),sin(THETA)*sin(PHI),cos(THETA)]; + nohid=[]; + hid=[]; + flg=0; + forall(1..(length(dt3d)-1), + p1=dt3d_#; + p2=dt3d_(#+1); + tmp=assign(nvec,["x",p1_1,"y",p1_2,"z",p1_3]); + tmp=parse(tmp); + if(Dotprod(tmp,pvec)>0, + if(flg==0 % flg==-1, + nohid=append(nohid,[p1,p2]); + flg=1; + ); + if(flg==1, + nohid_(length(nohid))=append(nohid_(length(nohid)),p2); + ); + , + if(flg==0 % flg==1, + hid=append(hid,[p1,p2]); + flg=-1; + ); + if(flg==-1, + hid_(length(hid))=append(hid_(length(hid)),p2); + ); + ); + ); + if(disp=="Y", + Changestyle3d([dt3dorg],["nodisp"]); + forall(1..length(nohid), + Spaceline(name+"nh"+text(#),nohid_#,options); + ); + forall(1..length(hid), + Spaceline(name+"h"+text(#),hid_#,options2); + ); + ); + tmp1="["; + forall(nohid,tmp1=tmp1+textformat(#,5)+","); + tmp1=substring(tmp1,0,length(tmp1)-1)+"]"; + parse(name+"nh="+tmp1); + tmp1="["; + forall(hid,tmp1=tmp1+textformat(#,5)+","); + tmp1=substring(tmp1,0,length(tmp1)-1)+"]"; + parse(name+"h="+tmp1); + [nohid,hid]; +); + +Beziersurf(nm,m,n,pL):=( +//help:Beziersurf("pt",2,2,pL); + regional(p3dL,ptlistx,ptlilsty,ptlistz); + factorial(n):=( + regional(out); + out=1; + forall(1..n, + out=out*#; + ); + out; + ); + Deffun("Comb(n,r)",[ + "regional(y)", + "y=factorial(n)/(factorial(r)*factorial(n-r))", + "y" + ]); + Deffun("Bterm(u,v,m,n,i,j)",[ + "regional(y)", + "y=Comb(m,i)*u^i*(1-u)^(m-i)", + "y=y*Comb(n,j)*v^j*(1-v)^(n-j)", + "y" + ]); + Deffun("Ball(u,v,m,n,pL)",[ + "regional(y,ii,jj,tmp,tmp1)", + "y=0", + "forall(0..m,ii, + forall(0..n,jj, + tmp=(n+1)*ii+jj+1; + tmp1=Op(tmp,pL); + tmp1=tmp1*Bterm(u,v,m,n,ii,jj); + y=y+tmp1; + ) + )", + "y" + ]); + if(ispoint(pL_1), + p3dL=apply(pL,parse(text(#)+"3d")); + , + p3dL=apply(pL,parse(#+"3d")); + ); + ptlistx=apply(p3dL,#_1); + ptlisty=apply(p3dL,#_2); + ptlistz=apply(p3dL,#_3); + Defvar(nm+"x",ptlistx); + Defvar(nm+"y",ptlisty); + Defvar(nm+"z",ptlistz); + tmp=[ + "p", + "x=Ball(U,V,2,2,"+nm+"x)", + "y=Ball(U,V,2,2,"+nm+"y)", + "z=Ball(U,V,2,2,"+nm+"z)", + "U=[0,1]", + "V=[0,1]" + ]; + tmp; +); + +//help:end(); diff --git a/Master/texmf-dist/scripts/ketcindy/ketlib/ketcindylibbasic1logr.txt b/Master/texmf-dist/scripts/ketcindy/ketlib/ketcindylibbasic1logr.txt new file mode 100644 index 00000000000..d815618a97a --- /dev/null +++ b/Master/texmf-dist/scripts/ketcindy/ketlib/ketcindylibbasic1logr.txt @@ -0,0 +1,90 @@ +//20180408 +// Divoptions changed ( to remove null string ) +// Changework changed (nkfwin) +// Hyperbolaplot debugged +// Derivative debugged +//20180405 +// Ketinit changed (order of changesettiing, Dircdy) +//20180402 +// Implicitplot, Connectseg added +//20180329 +// Ketinit changed (changing of Dircdy) +// Changesetting added +// Derivative changed ( Numerical method supportted ) +//20180328 +// Cindyname (=Cdyname ) added +// Cindyfile,Cindypath deleted +//20180317 +// IntersectcurvesPp changed +// Collectsameseg added, Collectnear commented out +// 2018.02.11 +// Dqq added ( = DqDq) +// 2018.02.06 +// Intersectpartseg debugged +// 2018.02.02 +// Enclosing2 changed (for distanted curves, startpt option removed ) +// 2018.02.01 +// Makehatch changed ( in accordance with Intersectseg ) +// 2018.01.30 +// Intersectseg changed ( for the case of no intersect ) +// 2018.01.29 +// Intersectpartseg changed ( for the case curves are strings ) +// Textformat changed ( for null list ) +// 2018.01.26 +// Enclosing2 (new enclosing ), Makehatch, Hatchdatacindy added +// 2018.01.15 +// Setunitlen changed ( as R ) +// Ketinit changed (Marklennow,... added as R ) +// 2018.01.07 +// Collectnear added +// Intersectcurves changed (Collectnear used) +// 2018.01.05 +// Intersectcurves changed (LLcrd) +// Intersectcurvespt added +// Intersectpartseg debugged +// Intersectline changed +// s:2018.01.04 +// PointonCurve debugged ( t >=1, t<=length(g) ) +// Intersectcurves.... added +// s:2017.12.27 +// Getcdyname(Cdyname) changed +// s:2017.12.03 +// Ketinit changed (definition of LibnameS ) +// s:2017.12.01 +// Ketinit changed (to modify Dircdy ) +// s:2017.11.27 +// Setparent added ( for Texparent) +// Getcdyname added ( name of the current cdy file) +// s:2017.11.24 +// Changework changed ( for the case of double pathsep() in dir, subdir ) +// s:2017.11.20 +// Changework changed ( for the case of (ex) dir=".../" ) +// s:2017.11.12 +// Ketinit debugged (Fhead) +// s:2017.10.24 +// Ketinit changed (Slidename added) +// s:2017.10.23 +// Pointdata changed (for string ) +// s:2017.10.14 +// Ketinit() changed (Fhead) +// s:2017.10.13 +// Ketinit() changed (definition of Shellparent,Shellchild) +// s:2017.10.07 +// Pointdata debugged +// s:2017.10.07 +// Setcolor debugged ( \ => \\ ) +// s:2017.10.06 +// Deqplot changed +// s:2017.08.29 +// Ketinit changed (LibnameS) +//2017.09.22 +// Texcom debugged +// Setcolor changed ( Texcom used ) +//2017.09.18 +// SCIWR,SCIRE removed +// 2017.09.17 +// Ketinit changed ( PathS=6... removed ) +// 2017.09.13 +// Changed to FnameR + + diff --git a/Master/texmf-dist/scripts/ketcindy/ketlib/ketcindylibbasic1r.cs b/Master/texmf-dist/scripts/ketcindy/ketlib/ketcindylibbasic1r.cs new file mode 100644 index 00000000000..f45ffee8d7a --- /dev/null +++ b/Master/texmf-dist/scripts/ketcindy/ketlib/ketcindylibbasic1r.cs @@ -0,0 +1,5932 @@ +// Copyright (C) 2014 Setsuo Takato, KETCindy Japan project team +// +//This program is free software: you can redistribute it and/or modify +// it under the terms of the GNU General Public License as published by +// the Free Software Foundation; either version 3 of the License, or +// (at your option) any later version. +// +// This program is distributed in the hope that it will be useful, +// but WITHOUT ANY WARRANTY; without even the implied warranty of +// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the +// GNU General Public License for more details. +// +// You should have received a copy of the GNU General Public License +// along with this program. If not, see <http://www.gnu.org/licenses/> +// + +println("KETCindy V.3.2.0(20180409)"); +println(ketjavaversion());//17.06.05 +println("ketcindylibbasic1(20180408) loaded"); + +//help:start(); + +//help:drawimage([0,0],"picture.png",scale->2,alpha->0.4); +//help:drawtext((2,1),"Text",size->2); +//help:system(list=append(list,"a");); +//help:system(list=concat(list,["a","b"]);); +//help:system(arccos,arcsin,arctan); +//help:system(abs,round,floor,ceil); + +//help:Option1(["dr","dr,2","da","da,2,1","do","do,1,2"]); +//help:Option2(["notex","nodisp","nodata"]); + +//help:getdirhead(); +//help:gedirhead("/Applications"); +//help:gedirhead("C:\Users\(username)"); +//help:setpath(); + +Ch=[0]; ChNum=1; + +Ketinit():=Ketinit(1); +//help:Ketinit(); +Ketinit(sy):=Ketinit(sy,[-5,5],[-5,5]); +Ketinit(sy,rangex,rangey):=( + regional(pt,tmp,tmp1,tmp2,letterc,boxc,shadowc,mboxc); + PenThickInit=8; + ULEN="1cm"; + MEMORI=0.05;//18.01.15from + MEMORIInit=MEMORI; + MEMORINow=MEMORI; + MARKLEN=0.05; + MARKLENInit=MARKLEN: + MARKLENNow= MARKLEN; + GENTEN=[0,0];//18.01.15until + KETPICLAYER=20; + MilliIn=1/2.54*1000; + PenThick=round(MilliIn*0.02); + PenThickInit=PenThick; + TenSizeInit=0.02; + TenSize=TenSizeInit; + YaSize=1; YaAngle=18; YaPosition=1; + YaThick=1; YaStyle='tf'; + KETPICCOUNT=1; + KCOLOR=[0,0,0]; + GLIST=[]; + GCLIST=[]; +// GDATALIST=[]; + GOUTLIST=[]; + POUTLIST=[]; + VLIST=[]; + FUNLIST=[]; + LETTERlist=[]; + COM0thlist=[]; + COM1stlist=[]; + COM2ndlist=[]; + ADDAXES="1"; + LFmark=unicode("000a"); + CRmark=unicode("000d");//16.12.13 + Dq=unicode("0022"); + WaitUnit=10; + CONTINUED=0; + OutComList=[]; + OutFileLIst=[]; // 15.10.22 + FigPdfList=[]; // 16.04.08 + ADDPACK=[]; // 16.05.16 + ErrFlag=0; + setdirectory(Dirwork); + if(!isstring(Fhead), // 17.10.13from, 17.11.12 + Fhead=text(curkernel()); + Fhead=replace(Fhead,".cdy",""); + Slidename=Fhead; //17.10.24 + );//17.11.12 + Dircdy=replace(Dircdy,"%E3%80%80"," ");//180405 + tmp1=Indexall(Dircdy,"%"); //180329from + if(length(tmp1)>0, + tmp1=append(tmp1,length(Dircdy)); + tmp2=substring(Dircdy,0,tmp1_1-1); + forall(1..(length(tmp1)-1), + tmp=substring(Dircdy,tmp1_#,tmp1_#+2); + tmp2=tmp2+unicode(tmp); + tmp2=tmp2+substring(Dircdy,tmp1_#+2,tmp1_(#+1)-1); + ); + Dircdy=tmp2; + ); //180329to + if(iswindows(), //17.12.01 + Dircdy=replace(Dircdy,"/",pathsep()); + if(substring(Dircdy,0,1)==pathsep(), + Dircdy=substring(Dircdy,1,length(Dircdy)); + ); + Changesetting([gethome(), gethome()+"\Desktop","C:"]); //180405 + , + Changesetting([gethome(),gethome()+"/Desktop"]); + ); + Changework(Dircdy+pathsep()+"fig"); //180329to + Fnametex=Fhead+".tex"; + FnameR=Fhead+".r"; + FnamebodyR=Fhead+"body.r"; + Fnameout=Fhead+".txt"; // 17.10.13until + if(!isstring(Mackc),// 16.06.07 + Mackc="sh"; + ); + if(iswindows(), + Batparent="\kc.bat"; + , + Shellparent="/kc.sh"; + if(!isexists(Dirwork,""), + println(Dirwork+" not exists"); + , + if(!iskcexists(Dirwork), + setdirectory(Dirwork); + SCEOUTPUT = openfile(Shellparent); + closefile(SCEOUTPUT); + println(Shellparent+" generated"); + ); + println(setexec(Dirwork,Shellparent)); + ); + ); + ArrowlineNumber=1; // 15.01.05 + ArrowheadNumber=1; + BezierNumber=1; //15.01.03 + SCALEX=1; + SCALEY=sy; +// Setscaling(sy); + XMIN=rangex_1/SCALEX; + XMAX=rangex_2/SCALEX; + YMIN=rangey_1/SCALEY; + YMAX=rangey_2/SCALEY; + Setwindow("Msg=n"); // 16.05.31 + // for Presentation + letterc=[0.98,0.13,0,0.43]; boxc=[0,0.32,0.52,0]; + shadowc=[0,0,0,0.5]; mboxc="yellow"; //17.03.02 regional debugged + SlideColorList=[letterc,boxc,boxc,boxc,shadowc,shadowc,6,1.3, + letterc,mboxc,mboxc,mboxc,62,2,letterc]; + ThinDense=0.1;//17.01.08 + if(indexof(PathS,"-5.")>0,//17.12.03from + LibnameS=Dirlib+pathsep()+"ketpicsciL5"; + , + LibnameS=Dirlib+pathsep()+"ketpicscifiles6"; + ); + if(indexof(PathT,"pdflatex")+indexof(PathT,"lualatex")>0, + LibnameS=replace(LibnameS,"ketpic","ketpic2e"); + );//17.12.03until +); + +Changesetting(dirL):=( //180329 + regional(fname,tmp1,flg); + fname="changesetting.txt"; + tmp1=apply(dirL,#+pathsep()+"ketcindy"); + tmp1=prepend(Dircdy,tmp1); + flg=0; + forall(tmp1, + if(flg==0, + if(isexists(#,fname), + setdirectory(#); + import(fname); + println(fname+" imported from "+#); + flg=1; + ); + ); + ); + if(flg==0, + println(fname+" not exists in "+text(tmp1)); + println(" Put "+fname+" in one of folders above"); + ); +); + +Cindyname():=Getcdyname(); +Cdyname():=Getcdyname(); +Getcdyname():=( //17.12.27 +//help:Cdyname(); + regional(out); + out=text(curkernel()); + out=replace(out,".cdy",""); +); + +Setwindow():=Setwindow("Msg=yes"); +Setwindow(str):=( + regional(tmp,tmp1,tmp2,msg); + msg="y"; + tmp=indexof(str,"="); // 16.02.10 + tmp1=Toupper(substring(str,tmp,tmp+1)); + if(tmp1=="N",msg="n"); + if((ispoint(SW) & ispoint(NE)), + tmp1=Lcrd(SW); + tmp2=Lcrd(NE); + XMIN=tmp1_1; XMAX=tmp2_1; + YMIN=tmp1_2; YMAX=tmp2_2; + , +// XMIN=-5; XMAX=5; +// YMIN=Lcrdy(-5); YMAX=Lcrdy(5); +// createpoint("SW",Pcrd([XMIN,YMIN])); +// createpoint("NE", Pcrd([XMAX,YMAX])); + Putpoint("SW",Pcrd([XMIN,YMIN])); + Putpoint("NE", Pcrd([XMAX,YMAX])); + ); + if(msg=="y", + println("Setwindow(["+XMIN+","+XMAX+"],["+YMIN+","+YMAX+"])"); + ); + layer(KETPICLAYER); + autoclearlayer(KETPICLAYER,true); + drawpoly([Pcrd([XMIN,YMIN]), Pcrd([XMAX,YMIN]), + Pcrd([XMAX,YMAX]),Pcrd([XMIN,YMAX])],color->[1,1,1]); +); +Setwindow(xrange,yrange):=( +//help:Setwindow([2,3],[-1,1]); + XMIN=xrange_1; + XMAX=xrange_2; + YMIN=yrange_1; + YMAX=yrange_2; + Putpoint("SW",Pcrd([XMIN,YMIN]));//17.05.30 + Putpoint("NE",Pcrd([XMAX,YMAX]));//17.05.30 +// Ketinit(); +); + +Setfiles(file):=( // 17.01.16 +//help:Setfiles(file); + Fhead=file; + Fnametex=Fhead+".tex"; + FnameR=Fhead+".r"; //17.10.14 + FnamebodyR=Fhead+"body.sce"; + Fnameout=Fhead+".txt"; +); + +Setparent(file):=( // 17.11.27 +//help:Setparent(file); + Texparent=file; +); + +Dqq(str):=DqDq(str); //18.02.11 +DqDq(str):=( +//help(Dqq("ab"); => Dq+"ab"+Dq) + unicode("0022")+str+unicode("0022"); +); + +Tab2list(dtstr):=Tab2list(dtstr,[]); +Tab2list(dtstrorg,options):=( +//help:Tab2list(datastr); +//help:Tab2list(options=["Blank=(null)","Sep=tab"]); + regional(dtstr,dtall,dt,rep,out,crm,lfm,htm,first,eqL,sep, + tmp,tmp1,tmp2); + crm=unicode("000d"); + lfm=unicode("000a"); + htm=unicode("0009"); + tmp=Divoptions(options); + eqL=tmp_5; + rep=""; + sep=htm; + forall(eqL, + tmp=indexof(#,"="); + tmp1=Toupper(substring(#,0,1)); + tmp2=substring(#,tmp,length(#)); + if(tmp1=="B", + tmp1="0123456789+-."; // 16.09.28from + tmp=substring(tmp2,0,1); + if(indexof(tmp1,tmp)>0,rep=parse(tmp2),rep=tmp2); // 16.09.28until + ); + if(tmp1=="S", // 16.12.04 + if(tmp2!="tab",sep=tmp2); + ); + ); + first=lfm; // 16.09.05from + if(indexof(dtstr,crm)>0, + first=crm; + if(indexof(dtstr,crm+lfm)>0, + first=first+lfm; + ); // 16.09.05until + ); + dtstr=dtstrorg;// 16.09.19from + tmp=substring(dtstr,length( dtstr)-1,length(dtstr)); + if(tmp!=lfm, + dtstr=dtstr+first; + );// 16.09.19until + tmp1=Indexall(dtstr,first); + tmp1=prepend(0,tmp1); + tmp1=append(tmp1,length(dtstr)); + dtall=[]; + forall(1..(length(tmp1)-1), + tmp=substring(dtstr,tmp1_#,tmp1_(#+1)-1); + if(length(tmp)>0, + dtall=append(dtall,tmp); + ); + ); + out=[]; + forall(dtall,dt, + tmp1=tokenize(dt,sep); //16.12.04 + tmp2=[]; + forall(tmp1, + if(isstring(#),tmp=parse(#),tmp=#); + if(!isreal(tmp), + if(length(#)>0,tmp=#,tmp=rep); + ); + tmp2=append(tmp2,tmp); + ); + out=append(out,tmp2); + ); + out; +); + +Columnlist(dt,list):=( // 16.09.04 +//help:Columnlist(dt,1..3); + apply(dt,#_list); +); + +Dispmat(dt):=( // 16.09.16 +//help:Dispmat(dt); + regional(htm,crm,lfm,row,tmp,tmp1,tmp2); + htm=unicode("0009"); + crm=unicode("000d"); + lfm=unicode("000a"); + tmp2=""; + forall(dt,row, + tmp1=""; + forall(row, + if(isstring(#), + tmp1=tmp1+#+htm; + , + tmp1=tmp1+text(#)+htm; + ); + ); + tmp1=substring(tmp1,0,length(tmp1)-1); + tmp1=tmp1+lfm; + tmp2=tmp2+tmp1; + ); + print(tmp2); + println(); +); + +Sep1000(va):=( //17.07.18 +//help:Sep1000(1344555); +//help:Sep1000([12456,55567]); + regional(str,nall,out); + if(islist(va), + out=apply(va,Sep1000(#)); + , + str=text(va); + nall=length(str); + out=""; + forall(1..nall, + out=str_(nall+1-#)+out; + if((#<nall)&(mod(#,3)==0), + out=","+out; + ); + ); + ); + out; +); + +factorial(n):=( +//help:factorial(5); + regional(out); + out=1; + forall(1..n, + out=out*#; + ); + out; +); + +norm(v1):=( // 16.09.01 +//help:norm([2,1,3]); + regional(out,tmp,tmp1,tmp2); + out=0; + forall(1..(length(v1)), + out=out+(v1_#)^2; + ); + out=sqrt(out); + out; +); +norm(v1,v2):=( + norm(v2-v1); +); + +// 16.03.28 +Removespace(str):=( +//help:Removespace(" a b c "); + regional(tmp,flg,out); + tmp=length(str)+1; + flg=0; + forall(1..(length(str)), + if(flg==0, + if((str_#)!=" ", + tmp=#; + flg=1; + ); + ); + ); + out=substring(str,tmp-1,length(str)); + flg=0; + tmp=0; + forall(reverse(1..(length(out))), + if(flg==0, + if((out_#)!=" ", + tmp=#; + flg=1; + ); + ); + ); + out=substring(out,0,tmp); +); + +Indexall(str,key):=( + regional(rest,out,flg,tmp,tmp1,); + out=[]; + rest=str; + flg=0; + forall(1..(length(str)), + if(flg==0, + tmp=indexof(rest,key); + if(tmp>0, + tmp1=tmp+length(str)-length(rest); + out=append(out,tmp1); + rest=substring(rest,tmp,length(rest)); + , + flg=1; + ); + ); + ); + out; +); + +Parlevel(str):=Bracket(str); // 16.05.22from +Bracket(str):=Bracket(str,"()"); +Bracket(str,br):=( +//help:Bracket(string,"()"); + regional(ph,pt,out,noL,ncL,nall,level,tmp); + ph=substring(br,0,1); + pt=substring(br,1,2); + noL=Indexall(str,ph); + ncL=Indexall(str,pt); // 16.05.22until + nall=sort(concat(noL,ncL)); + level=0; + out=[]; + forall(nall, + if(contains(noL,#), + level=level+1; + tmp=[#,level]; + , + tmp=[#,-level]; + level=level-1; + ); + out=append(out,tmp); + ); + out; +); + +Pardiagram(str):=Pardiagram(str,[20]); +Pardiagram(str,options):=( +//help:Pardiagram(exprstr); +//help:Pardiagram(options=[20,"Disp=y","Fig=y"]); + regional(reL,eqL,len,disp,scheme,bra,nn,sta,out, + opos,cpos,all,dx,dh,mxh,start,nn,p1,p2,p3,p4,tmp,tmp1,tmp2,tmp3); + len=20; + disp=1; + scheme=1; + tmp=Divoptions(options); + eqL=tmp_5; + reL=tmp_6; + forall(eqL, + tmp=indexof(#,"="); + tmp1=Toupper(substring(#,0,1)); + tmp2=Toupper(substring(#,tmp,tmp+1)); + if(tmp1=="D", + if(tmp2=="N" % tmp2=="F",disp=0); + ); + if(tmp1=="F", + if(tmp2=="N" % tmp2=="F",scheme=0); + ); + ); + forall(reL, + len=#; + ); + bra=Bracket(str); + tmp1=select(bra,#_2>0); + tmp2=select(bra,#_2<0); + out=[]; + forall(1..(length(tmp1)),nn, + sta=tmp1_nn; + tmp=select(tmp2,#_2==-sta_2 & #_1>sta_1); + tmp=tmp_1; + out=append(out, [substring(str,sta_1-1,tmp_1), + nn,sta_2,sta_1,tmp_1, + substring(str,sta_1-1,sta_1+len-1), + substring(str,tmp_1-len,tmp_1)] ); + ); + if(disp==1, + println("Printing from 2 to 7. (Extract full string using _1)"); + apply(out,println(#_(2..7))); + ); + if(scheme==1, + opos=sort(apply(out,#_4)); + cpos=sort(apply(out,#_5)); + tmp=concat(opos,cpos); + all=sort(tmp); + mxh=max(apply(out,#_3)); + dx=1; + dh=1; + start=[-5,5]; + forall(1..(length(all)),nn, + tmp=select(out,#_4==all_nn); + if(length(tmp)>0, + tmp1=tmp_1_3; + tmp2=tmp_1_4; + tmp3=tmp_1_5; + tmp=select(1..(length(all)),all_#==tmp3); + tmp4=tmp_1; + p1=start+[(nn-1)*dx,-0.5]; + p2=p1+[0,(tmp1-mxh-1)*dh]; + p3=p2+[(tmp4-nn)*dx,0]; + p4=p3+[0,(mxh+1-tmp1)*dh]; + Listplot("ch"+text(nn),[p1,p2,p3,p4],["Message=n"]); + Letter([p2,"s",text(tmp2),p3,"s",text(tmp3)]); + tmp=select(1..(length(opos)),opos_#==tmp2); + tmp=tmp_1; + if(tmp==1, + tmp=substring(str,tmp2-1,tmp2); + , + if(opos_(tmp-1)==opos_tmp-1, + tmp=substring(str,tmp2-1,tmp2); + , + tmp=substring(str,tmp2-2,tmp2); + ); + ); + tmp=replace(tmp,"^","**"); + Expr(p1,"n",tmp); + tmp=select(1..(length(cpos)),cpos_#==tmp3); + tmp=tmp_1; + if(tmp==length(cpos), + tmp=substring(str,tmp3-1,tmp3); + , + if(cpos_(tmp+1)==cpos_tmp+1, + tmp=substring(str,tmp3-1,tmp3); + , + tmp=substring(str,tmp3-1,tmp3+1); + ); + ); + tmp=replace(tmp,"^","**"); + Expr(p4,"n",tmp); + ); + ); + ); + out; +); + +Changework(dirorg):=( //16.10.21 +//help:Changework(directory); + regional(dir,subdir,tmp); + dir=replace(dirorg,"/",pathsep());//17.11.20from + dir=replace(dir,"\",pathsep()); + dir=replace(dir,pathsep()+pathsep(),pathsep());//17.11.24 + tmp=length(dir); + if(substring(dir,tmp-1,tmp)==pathsep(), + dir=substring(dir,0,tmp-1); + );//17.11.20until + tmp=Indexall(dir,pathsep()); //17.11.24from + subdir=""; + if(length(tmp)>0, + tmp=tmp_(length(tmp)); + subdir=substring(dir,tmp,length(dir)); + dir=substring(dir,0,tmp-1); + ); //17.11.24until + if(dir=="" % !isexists(dir,""), + println("Directory "+dir+" not exist, so set to "+Dirwork); + ErrFlag=-1; + , + if(length(subdir)>0, //17.11.24from + println(makedir(dir,subdir)); + Dirwork=dir+pathsep()+subdir; + , + Dirwork=dir; + ); //17.11.24until + setdirectory(Dirwork); + if(!iswindows(), //17.04.11 + if(!iskcexists(Dirwork), + SCEOUTPUT = openfile("/kc.sh"); + closefile(SCEOUTPUT); + println(setexec(Dirwork,"/kc.sh")); + ); + , + if(isincludefull(Dirwork),//180408from + SCEOUTPUT = openfile("utf8.txt"); + println(SCEOUTPUT,"tmp="+Dqq(Dirwork)+";"); + closefile(SCEOUTPUT); + nkfwin("C:",Dirwork,"utf8.txt","sjis.txt");//180408to + ); + ); + ); +); + +Changestyle(nameL,style):=( +//help:Changestyle(["sgAB"],["da"]); + regional(nmL,name,Ltype,Ltypeorg,Noflg,opcindy,tmp); + tmp=Divoptions(style); + Ltypeorg=tmp_1; + Noflg=tmp_2; + opcindy=tmp_(length(tmp)); + if(islist(nameL),nmL=nameL,nmL=[nameL]); + forall(nmL,name, + Ltype=Ltypeorg; + GCLIST=select(GCLIST,#_1!=name); + COM2ndlist=select(COM2ndlist, + (indexof(#,"("+name)==0)%(indexof(#,"Shade")>0)); // 15.05.23,16.12.13 + if(Noflg<2, + if(isstring(Ltype), + Ltype=GetLinestyle(text(Noflg)+Ltype,name); + , + if(Noflg==1,Ltype=0); + ); + GCLIST=append(GCLIST,[name,Ltype,opcindy]); + ); + ); +); + +Op(n,object):=( // 16.05.25 +//help:Op(4,[1,2,3,4]); +//help:Op(3,"abcd"); + regional(out); + if(islist(object), + out=object_n; + , + if(isstring(object), + out=substring(object,n-1,n); + ); + ); + out; +); + +Finddef(G):=( + regional(def,tmp,tmp1,tmp2,tmp3); + if(isstring(G),tmp=parse(G),tmp=G); + def=text(inspect(tmp,"definition")); + tmp1=indexof(def,"("); + tmp2=indexof(def,";"); + tmp3=indexof(def,")"); + tmp=[substring(def,0,tmp1-1)]; + if(tmp2>0, + tmp=append(tmp,substring(def,tmp1,tmp2-1)); + if(indexof(def,")",tmp3+1)==0, + tmp=append(tmp,substring(def,tmp2,tmp3-1)); + , + tmp=append(tmp,substring(def,tmp2,tmp3)); + ); + , + tmp=append(tmp,substring(def,tmp1-1,tmp3)); + ); + tmp; +); + +Findgeoinfo(geo):=( + regional(out,tmp,tmp1,tmp2); + tmp=Finddef(geo); + if(ispoint(parse(tmp_2)), + out=[tmp_2,tmp_3]; + , + tmp1=Findgeoinfo(parse(tmp_2)); + if(ispoint(parse(tmp1_1)), + out=[tmp1_1,tmp1_2]; + , + tmp2=Findgeoinfo(parse(tmp1_2)); + out=[tmp2_1,tmp2_2]; + ); + ); + if(ispoint(geo), + if(!ispoint(parse(tmp_2)), + tmp1=Finddef(parse(tmp_2)); + , + tmp1=tmp; + ); + out=append(out,tmp1_3); + , + out=append(out,tmp_3); + ); + out; +); + +Dependgeo(geo):=( + regional(tmp,tmp1,tmp2,out); + tmp=Finddef(geo); + if(!iscircle(geo), + out=[text(geo)]; + , + out=[geo]; + ); + if(length(tmp)<3, + out=concat(out,[tmp_1,[]]); + , + out=concat(out,[tmp_1]); + tmp1=[tmp_2,tmp_3]; + tmp=parse(tmp1_2); + if(islist(tmp) % isreal(tmp), + tmp1=[tmp1_1]; + ); + out=append(out,tmp1); + ); + out; +); + +Workprocess():=Workprocess(300); +Workprocess(nn):=Drawprocess(nn); +Drawprocess():=Drawprocess(300); +Drawprocess(nn):=( +//help:Workprocess(); + regional(All,added,remain,out,flg,tmp,tmp1,tmp2); + tmp=remove(allpoints(),[NE,SW,TH,FI]); + tmp1=select(tmp, + substring(text(#),length(text(#))-1,length(text(#)))!="z"); + tmp1=concat(tmp1,alllines()); +// tmp1=concat(tmp1,allcircles()); + All=apply(tmp1,Dependgeo(#)); + added=select(All,length(#_3)==0); + out=sort(apply(added,#_1)); + remain=remove(All,added); + flg=0; + repeat(nn, + if(flg==0, + tmp1=select(remain,remove(#_3,out)==[]); + tmp2=sort(apply(tmp1,#_1)); + out=concat(out,tmp2); + remain=remove(remain,tmp1); + if(length(remain)==0,flg=1); + ); + ); + println("Process of drawing"); + forall(out, + println(Dependgeo(parse(#))); + ); + out; +); + +Sortpointlist(list):=( + regional(plist,ilist,jj,kk,flg,p1,p2,in1,in2, + tmp,tmp1,tmp2,out); + out=list; + plist=list_1; + ilist=list_2; + flg=0; + forall(1..(length(plist)),jj, + p1=plist_jj; + in1=ilist_jj; + forall((jj+1)..(length(plist)),kk, + if(flg==0, + p2=plist_kk; + in2=ilist_kk; + if(contains(in1,p2), + tmp1=plist_(1..(jj-1)); + tmp1=append(tmp1,p2); + tmp1=concat(tmp1,plist_((jj+1)..(kk-1))); + tmp1=append(tmp1,p1); + tmp1=concat(tmp1,plist_((kk+1)..(length(plist)))); + tmp2=ilist_(1..(jj-1)); + tmp2=append(tmp2,in2); + tmp2=concat(tmp2,ilist_((jj+1)..(kk-1))); + tmp2=append(tmp2,in1); + tmp2=concat(tmp2,ilist_((kk+1)..(length(plist)))); + out=Sortpointlist([tmp1,tmp2]); + flg=1; + ); + ); + ); + ); + out; +); + +Toupper(str):=( +//help:Toupper("Abc"); + regional(alphabet,out,tmp,tmp1); + alphabet="abcdefghijklmnopqrstuvwxyz"; + out=""; + forall(1..(length(str)), + tmp=substring(str,#-1,#); + tmp1=indexof(alphabet,tmp); + if(tmp1>0, + out=out+unicode(text(tmp1+64),base->10); + , + out=out+tmp; + ); + ); + out; +); + +Textformat(value,dig):=( +//help:Textformat(2/3,4); +//help:Textformat([gr1,gr2],5); + regional(vv,tmp,tmp1); + if(islist(value), + tmp1="["; + forall(value, + tmp1=tmp1+Textformat(#,dig)+","; + ); + if(length(tmp1)>1, //18.01.29from + tmp1=substring(tmp1,0,length(tmp1)-1); + ); + tmp1=tmp1+"]"; //18.01.29until + , + if(ispoint(value) % isstring(value), +// vv=Lcrd(value); +// tmp1=Textformat(vv,dig); +// tmp1=text(value); // 15.04.07 + if(isstring(value),tmp1=Dq+value+Dq,tmp1=text(value)); // 15.10.02 + , + tmp1=format(value,dig); + ); + ); + tmp1; +); + +Sprintf(value,dig):=( +//help:Sprintf(5.1,4); + regional(vv,tmp,tmp1); + if(!islist(value), // 17.03.12from + if(isstring(value), + vv=value; + , + vv=Textformat(value,dig); + ); // 17.03.12from + if(indexof(vv,".")==0,vv=vv+"."); + vv=vv+"0000000000000000"; + tmp=indexof(vv,".")+dig; + vv=substring(vv,0,tmp); + , + vv=apply(value,Sprintf(#,dig)); + ); + vv; +); + +Assign(str):=( // old + regional(out); + out=str; + forall(VLIST, + tmp=substring(#_1,0,length(#_1)-1); + out=replace(out,tmp,"("+#_2+")"); + ); + out; +); + +Assign(funstr,vrL):=( + regional(nn,out,tmp,tmp1); + nn=length(vrL)/2; + out=funstr; + forall(1..nn, + out=Assign(out,vrL_(2*#-1),vrL_(2*#)); + ); + out; +); + +Assign(funstr,varname,rep):=( +//help:Assign("x^2+a*x","a",1.3); +//help:Assign("a*x^2+b*x",["a",1,"b",2]); + regional(repstr,ii,jj,tmp,tmp1,tmp2,Notvar,Flg); + if(isstring(rep),repstr=rep,repstr="("+Textformat(rep,6)+")"); + // 15.02.09, 07.06,17.08.24 + tmp=[46]; // 12.20 + tmp=concat(tmp,48..57); + tmp=concat(tmp,65..90); + tmp=concat(tmp,97..122); + Notvar=apply(tmp,unicode(text(#),base->10)); + tmp2=""; + forall(1..100, + ii=indexof(funstr,varname); + if(ii>0, + Flg=0; + if(ii>1, + tmp=substring(funstr,ii-2,ii-1); + if(contains(Notvar,tmp), + tmp2=tmp2+substring(funstr,0,ii); + funstr=substring(funstr,ii,length(funstr)); + Flg=1; + ); + ); + if(Flg==0, + jj=ii-1+length(varname); + if(jj<length(funstr), + tmp=substring(funstr,jj,jj+1)); + if(contains(Notvar,tmp), + tmp2=tmp2+substring(funstr,0,jj); + funstr=substring(funstr,jj,length(funstr)); + Flg=1; + ); + ); + if(Flg==0, + tmp2=tmp2+substring(funstr,0,ii-1)+repstr; + funstr=substring(funstr,jj,length(funstr)); + ); + ); + ); + funstr=tmp2+funstr; + funstr; +); + +MeasureDepth(list):=( + regional(tmp,tmp1,Depth,Flg); + Flg=0; + Depth=0; + if(ispoint(list), // 15.01.22 + Depth=0; + Flg=1; + , + tmp1=select(1..(length(list)),length(list_#)>0);//17.05.21from + tmp=list_(tmp1_1);//17.05.21until + ); + repeat(4, + if(Flg==0, + if(islist(tmp), + tmp=tmp_1; + Depth=Depth+1; + , + if(ispoint(tmp),Depth=Depth+1); + Flg=1; + ); + ); + ); + Depth; +); + +Flattenlist(pltlist):=( +//help:Flattenlist([[2,3],[[1,2],[5,6]]]); + regional(Out,nn,Dt,ii,tmp,flg); + Out=[]; + if(MeasureDepth(pltlist)==1, + Out=[pltlist]; + , + forall(1..(length(pltlist)),nn, + Dt=pltlist_nn; + if(MeasureDepth(Dt)<2, + Out=append(Out,Dt); + , + forall(1..(length(Dt)),ii, + tmp=Flattenlist(Dt_ii); + Out=concat(Out,tmp); + ); + ); + ); + ); + Out; +); + +Divoptions(options):=( +//help:Divoptions(options); + regional(Ltype,Noflg,Inflg,Outflg,eqL,realL,strL,opstr,opcindy,flg,tmp,tmp1); + Ltype="dr"; // 2015.01.13 + Noflg=0; + Inflg=0; + Outflg=0; + eqL=[]; + realL=[]; + strL=[]; + opstr=""; + opcindy=""; + forall(options, + flg=0; + if(flg==0, + if(isreal(#) % ispoint(#) % islist(#), + realL=append(realL,#); + opstr=opstr+","+text(#); + flg=1; + ); + ); + if(flg==0, + if(indexof(#,"=")>0, + eqL=append(eqL,#); + flg=1; + ); + ); + if(flg==0, + if(indexof(#,"no")+indexof(#,"No")>0, + if(indexof(#,"tex")>0,Noflg=1); + if(indexof(#,"disp")>0,Noflg=2); + if(indexof(#,"data")>0,Noflg=3); + flg=1; + ); + ); + if(flg==0, + if(indexof(#,"->")>0, + opcindy=opcindy+","+#; + flg=1; + ); + ); + if(flg==0, + if(indexof(#,"out")+indexof(#,"Out")>0, + if(indexof(#,"-")==0, + Outflg=1; + , + Outflg=2; + ); + flg=1; + ); + ); + if(flg==0, + if(indexof(#,"in")+indexof(#,"In")>0, + if(indexof(#,"-")==0, + Inflg=1; + , + Inflg=2; + ); + flg=1; + ); + ); + if(flg==0, + tmp=substring(#,0,2); + tmp1=indexof(tmp,"dr")+indexof(tmp,"Dr"); + tmp1=tmp1+indexof(tmp,"da")+indexof(tmp,"Da"); + tmp1=tmp1+indexof(tmp,"id")+indexof(tmp,"Id"); + tmp1=tmp1+indexof(tmp,"do")+indexof(tmp,"Do"); + tmp1=tmp1+indexof(tmp,"dp")+indexof(tmp,"Dp"); + if(tmp1>0, + Ltype=#; + flg=1; + ); + if(flg==0, + if(length(#)>0, //180408 + strL=append(strL,#); + opstr=opstr+","+Dq+#+Dq; + ); + ); + ); + ); + if(indexof(opcindy,"color->")==0,// 16.10.07from + opcindy=opcindy+",color->[0,0,0]"; + ); + [Ltype,Noflg,Inflg,Outflg,eqL,realL,strL,opstr,opcindy]; +); + +Dotprod(vec1,vec2):=( +//help:Dotprod(vec1,vec2); + regional(v1,v2,tmp); + if(ispoint(vec1),v1=vec1.xy,v1=vec1); + if(ispoint(vec2),v2=vec2.xy,v2=vec2); + v1*v2; +); + +Crossprod(a,b):=( +//help:Crossprod(vec1,vec2); + regional(tmp1,tmp2,tmp3,Out); + if(length(a)==3, + tmp1=a_2*b_3-a_3*b_2; + tmp2=a_3*b_1-a_1*b_3; + tmp3=a_1*b_2-a_2*b_1; + Out=[tmp1,tmp2,tmp3]; + , + Out=a_1*b_2-a_2*b_1; + ); + Out; +); + +Ptstart(Fig):=( +//help:Ptstart("gr1"); + regional(tmp); + if(isstring(Fig),tmp=parse(Fig),tmp=Fig); // 16.01.21 + tmp_1; +); + +Ptend(Fig):=( +//help:Ptend("gr1"); + regional(tmp); + if(isstring(Fig),tmp=parse(Fig),tmp=Fig); + tmp_(length(tmp)); // 15.04.12 +); + +Numptcrv(Fig):=( +//help:Numptcrv("gr1"); + regional(tmp); + if(isstring(Fig),tmp=parse(Fig),tmp=Fig); // 15.12.23 + length(tmp); +); + +Ptcrv(Num,Fig):=( +//help:Ptcrv(10,"gr1"); + regional(tmp); + if(isstring(Fig),tmp=parse(Fig),tmp=Fig); + tmp_Num; +); + +Invert(Fig):=( +//help:Invert("gr1"); + regional(tmp); + if(isstring(Fig),tmp=parse(Fig),tmp=Fig); // 16.01.27 + reverse(tmp); +); +Invert(nm,Fig):=Invert(nm,Fig,["nodisp"]); // from 16.01.27 +Invert(nm,Fig,options):=( +//help:Invert("1","gr1"); + regional(name,tmp); + name="-inv"+nm; + tmp=Invert(Fig); + Listplot(name,tmp,options); +);// until 16.01.27 + +Paramoncrv(pP,Gdata):=( + regional(Tmp,PtL); +// Eps=10^(-8); + if(isstring(Gdata),PtL=parse(Gdata),PtL=Gdata); + Tmp=Nearestpt(pP,PtL); + Tmp_2; +); + +ParamonCurve(pP,nN,plist):=( +//help:ParamonCurve(A,10,"gr1"); + regional(PtL,Out,Pa,Pb,vV,vW,sS); + if(isstring(plist),PtL=parse(plist),PtL=plist); + PtL=apply(PtL,LLcrd(#));//16.10.16 + if(nN==length(PtL), + Out=nN; + , + Pa=PtL_nN; + Pb=PtL_(nN+1); + vV=Pb-Pa; + vW=pP-Pa; + sS=vV*vW/|vV|^2; + sS=min([max([sS,0]),1]); + Out=nN+sS; + ); + Out; +); + +Pointoncrv(tT,PtL):=PointonCurve(tT,PtL); +PointonCurve(tTorg,Gdata):=( +//help:PointonCurve(20.5,"gr1"); + regional(tT,Out,Eps,nN,sS,Pa,Pb,PtL); + if(isstring(Gdata),PtL=parse(Gdata),PtL=Gdata); + if(length(PtL)==1,PtL=PtL_1); + tT=max([tTorg,1]); //18.01.04 + tT=min([tT,length(PtL)]); //18.01.04 + Eps=10^(-5); //18.01.04 + nN=floor(tT+Eps); + sS=max([tT-nN,0]); + if(nN==length(PtL), + Out=PtL_nN; + , + Pa=PtL_nN; + Pb=PtL_(nN+1); + Out=(1-sS)*Pa+sS*Pb; + ); + Out; +); + +Koutenseg(pA,pB,pC,pD):=Koutenseg(pA,pB,pC,pD,[]); +Koutenseg(pA,pB,pC,pD,options):=( + regional(Eps0,Eps,Eps2,pV,Sv2,Out,pP,pQ,Flg,p1,p2,q1,q2, + em1,eM1,em2,eM2,rT,Tmp1,Tmp2); + Eps0=10^(-4); + pV=pB-pA; + Sv2=|pV|; + pP=pC-pA; pQ=pD-pA; + Eps=10^(-3); + Eps2=0.2; + Tmp1=0; + forall(options, + if(Tmp1==0, + Eps=#; + Tmp1=1; + , + Eps2=#; + ); + ); + Flg=0; + if(Sv2<10^(-3), + Out=["inf","inf"]; + Flg=1; + ); + if(Flg==0, + Eps=min([Eps2,Eps/Sv2]); + p1=pP*pV/Sv2^2; + p2=[pP_2,-pP_1]*pV/Sv2^2; + q1=pQ*pV/Sv2^2; + q2=[pQ_2,-pQ_1]*pV/Sv2^2; + em1=-Eps; eM1=1+Eps; + em2=-Eps; eM2=Eps; + if(max([p1,q1])<em1 % min([p1,q1])>eM1, + Out=["inf","inf"]; + Flg=1; + ); + if(max([p2,q2])<em2 % min([p2,q2])>eM2, + Out=["inf","inf"]; + Flg=1; + ); + ); + if(Flg==0 & p2*q2<0, + rT=p1-(q1-p1)/(q2-p2)*p2; + if(rT>em1 & rT<eM1, + if(rT>-Eps0 & rT<1+Eps0, + Tmp1=pA+rT*pV; + Tmp2=min([max([rT,0]),1]); + Out=[Tmp1,Tmp2,0]; + , + Tmp1=pA+rT*pV; + Tmp2=min([max([rT,0]),1]); + Out=[Tmp1,Tmp2,1]; + ); + Flg=1; + ); + if(Flg==0 & (p1<em1 % p1>eM1 % p2<em2 % p2>eM2), + if(q1<em1 % q1>eM1 % q2<em2 % q2>eM2, + Out=["inf","inf"]; + Flg=1; + ); + if(Flg==0, + rT=min([max([p1,0]),1]); + Tmp1=pA+rT*pV; + Out=[Tmp1,rT,1]; + Flg=1; + ); + ); + ); + if(Flg==0 & (p1 > -Eps0 & p1 < 1 + Eps0 & p2 > -Eps0 & p2 < Eps0), + rT= p1; + Tmp1=pA+rT*pV; + Out= [Tmp1, rT, 0]; + Flg=1; + ); + if(Flg==0 & (q1 > -Eps0 & q1 < 1 + Eps0 & q2 > -Eps0 & q2 < Eps0), + rT= q1; + Tmp1=pA+rT*pV; + Out=[Tmp1,rT,0]; + Flg=1; + ); + if(Flg==0 & (p1<em1 % p1>eM1 % p2<em2 % p2>eM2), + if(q1<em1 % q1>eM1 % q2<em2 % q2>eM2, + Out=["inf","inf"]; + Flg=1; + ); + if(Flg==0, + rT=min([max([q1,0]),1]); + Tmp1=pA+rT*pV; + Out=[Tmp1,rT,1]; + Flg=1; + ); + ); + if(Flg==0 & (q1<em1 % q1>eM1% q2<em2 % q2>eM2), + rT=min([max([p1,0]),1]); + Tmp1=pA+rT*pV; + Out=[Tmp1,rT,1]; + Flg=1; + ); + if(Flg==0, + if(abs(p2)<abs(q2), + rT=min([max([p1,0]),1]); + , + rT=min([max([q1,0]),1]); + ); + Tmp1=pA+rT*pV; + Out=[Tmp1,rT,1]; + ); + Out; +); + +///////// Start of old Intersect //////////// + +IntersectcrvsPp(Gr1,Gr2):=IntersectcrvsPp(Gr1,Gr2,[]); +IntersectcrvsPp(Gr1,Gr2,options):=( +//help:IntersectcrvsPp("gr1","pa1"); +//help:IntersectcrvsPp(options=[Eps2(0.1),"Dif=0.05"]); + regional(Out,Eps,Eps2,Eps0,Flg,Data1,Data2, + Tmp1,Tmp2,Tmp3,Tmp,KL1,KL2,pA,pB,Ni,Nj, + pP,pQ,rT,Flg,eqL,realL,opstr,Dif); + Eps=10^(-4); + Eps2=0.1; + Dif=0.05; // 2015.05.31 + Flg=0; + Tmp1=Divoptions(options); // + eqL=Tmp1_5; + realL=Tmp1_6; + opstr=Tmp1_(length(Tmp1)); + forall(eqL, + if(substring(#,0,1)=="D", + Tmp1=indexof(#,"="); + Dif=parse(substring(#,Tmp1,length(#))); + ); + ); + Tmp1=length(realL); + if(Tmp1>0, + Eps=realL_1; + if(Tmp1>1, + Eps2=realL_2; + ); + ); + Flg=0; + if(isstring(Gr1),Data1=parse(Gr1),Data1=Gr1); + if(isstring(Gr2),Data2=parse(Gr2),Data2=Gr2); + if(MeasureDepth(Data1)==2,Data1=Data1_1); + if(MeasureDepth(Data2)==2,Data2=Data2_1); + Data1=apply(Data1,LLcrd(#)); + Data2=apply(Data2,LLcrd(#)); + if(length(Data1)==length(Data2), + Tmp1=Reverse(Data2); + Eps0=10^(-6); + Tmp2=0; + forall(1..(length(Data1)), + Tmp2=Tmp2+abs(Data1_#-Data2_#); + ); + Tmp3=0; + forall(1..(length(Data1)), + Tmp3=Tmp3+abs(Data1_#-Tmp1_#); + ); + if(Tmp2<Eps0 % Tmp3<Eps0, + Out=[]; + Flg=1; + ); + ); + if(Flg==0, + KL1=[]; + KL2=[]; + forall(1..(length(Data1)-1),Ni, + pA=Data1_Ni; + pB=Data1_(Ni+1); + forall(1..(length(Data2)-1), + pP=Data2_#; pQ=Data2_(#+1); + Tmp=Koutenseg(pA,pB,pP,pQ,[Eps,Eps2]); + if(Tmp!=["inf","inf"], + if(Tmp_3==0, + Tmp1=[Tmp_1,Tmp_2,Ni,#]; + KL1=concat(KL1,[Tmp1]); + , + Tmp2=[Tmp_1,Tmp_2,Ni,#]; + KL2=concat(KL2,[Tmp2]); + ); + ); + ); + ); + Out=[]; + if(length(KL1)>0, + Tmp=KL1_1; + pP=Tmp_1; + rT=Tmp_2; + Ni=Tmp_3; + Nj=Tmp_4; + Tmp=[pP,Ni+rT,Nj]; + Out=[Tmp]; + ); + forall(2..(length(KL1)),Ni, + Tmp=KL1_Ni; + pP=Tmp_1; + Tmp2=0; + Flg=0; + forall(1..(length(Out)),Nj, + if(Flg==0, + Tmp=Out_Nj; + if(|pP-Tmp_1|<Eps, + Tmp2=1; + Flg=1; + ); + ); + ); + if(Tmp2==0, + Tmp=KL1_Ni; + pP=Tmp_1; + rT=Tmp_2; + Tmp1=Tmp_3; + Tmp2=Tmp_4; + Tmp=[pP,Tmp1+rT,Tmp2]; + Out=concat(Out,[Tmp]); + ); + ); + forall(1..(length(KL2)),Ni, + Tmp=KL2_Ni; // 15.11.21 Usui + pP=Tmp_1; + Tmp2=0; + Flg=0; + forall(1..(length(Out)),Nj, + if(Flg==0, + Tmp=Out_Nj; + if(|pP-Tmp_1|<Eps, + Tmp2=1; + Flg=1; + ); + ); + ); + if(Tmp2==0, + Tmp=KL2_Ni; + rT=Tmp_2; + rT=min([max([rT,0]),1]); // 15.11.21 Usui + Tmp=[pP,Tmp_3+rT,Tmp_4]; + Out=concat(Out,[Tmp]); + ); + ); + ); + Tmp1=Out; // 15.04.06 from + Out=[]; + forall(Tmp1,Tmp2, + Tmp3=select(1..(length(Out)),//16.11.27, + |Out_#_1-Tmp2_1|<Dif & |Out_#_2-Tmp2_2|<=1& |Out_#_3-Tmp2_3|<=1); + //17.04.13 + if(length(Tmp3)==0, + Out=append(Out,Tmp2); + , + forall(Tmp3, //16.11.27 + Out_#_1=(Out_#_1+Tmp2_1)/2;//17.04.14 + ); + ); + ); // 15.04.06 until + Out; +); + +Intersectcrvs(Gr1,Gr2):=Intersectcrvs(Gr1,Gr2,[]); +//help:Intersectcrvs("gr1","pa1"); +Intersectcrvs(Gr1,Gr2,options):=( + regional(tmp,tmp1,tmp2); + tmp1=IntersectcrvsPp(Gr1,Gr2,options); + apply(tmp1,#_1); +); +///////// End of old Intersect //////////// + +/////////// Start of new Intersect ////////////// + +Intersectline(p1,v1,p2,v2):=( + regional(Eps,d,dt,ds,t,s,pt,out,tmp,tmp1,tmp2,tmp3); + Eps=10^(-5); + out=[]; + tmp=Dotprod(v1,v2); + tmp1=[tmp,|v1|^2]; + tmp2=[-|v2|^2,-tmp]; + tmp3=[Dotprod(p2-p1,v2),Dotprod(p2-p1,v1)]; + d=Crossprod(tmp1,tmp2); + tmp=abs(Crossprod(v1,v2)); + if(tmp>Eps, + dt=Crossprod(tmp3,tmp2); + ds=Crossprod(tmp1,tmp3); + t=dt/d; + s=ds/d; + pt=p1+v1*t; + out=[pt,t,s]; + , + tmp1=Crossprod(p2-p1,v1)/|v1|; //18.01.05 + out=[abs(tmp1)]; //18.01.05 + ); + out; +); + +Intersectseg(seg1,seg2):=Intersectseg(seg1,seg2,0.01); +Intersectseg(seg1org,seg2org,Eps1):=( + regional(Eps,seg1,seg2,p1,p2,q1,q2,t,s,pt,n,pts,out,dist, + tmp,tmp1,tmp2,tmp3); + Eps=10^(-4); + //Eps1=0.01; + seg1=seg1org; + seg2=seg2org; + if(isstring(seg1),seg1=parse(seg1)); + if(isstring(seg2),seg2=parse(seg2)); + out=[]; + p1=seg1_1; q1=seg1_2; + p2=seg2_1; q2=seg2_2; + if((|q1-p1|<Eps)%(|q2-p2|<Eps), + out=[-1]; + , + tmp=Intersectline(p1,q1-p1,p2,q2-p2); + if(islist(tmp_1), + pt=tmp_1; t=tmp_2; s=tmp_3; + if((t*(t-1)<Eps)&(s*(s-1)<Eps), + out=[0,pt,t,s]; + , + t=min([max([t,0]),1]); + s=min([max([s,0]),1]); + tmp3=[|p1-p2|,|p1-q2|,|q1-p2|,|q1-q2|]; //18.01.30from + tmp1=[Op(2,q2-p2),-Op(1,q2-p2)]; + tmp=Intersectline(p1,tmp1,p2,q2-p2); + if(islist(tmp_1), + if(tmp_3*(tmp_3-1)<Eps, + tmp3=append(tmp3,|tmp_1-p1|); + ); + ); + tmp=Intersectline(q1,tmp1,p2,q2-p2); + if(islist(tmp_1), + if(tmp_3*(tmp_3-1)<Eps, + tmp3=append(tmp3,|tmp_1-q1|); + ); + ); + tmp1=[Op(2,q1-p1),-Op(1,q1-p1)]; + tmp=Intersectline(p2,tmp1,p1,q1-p1); + if(islist(tmp_1), + if(tmp_3*(tmp_3-1)<Eps, + tmp3=append(tmp3,|tmp_1-p2|); + ); + ); + tmp=Intersectline(q2,tmp1,p1,q1-p1); + if(islist(tmp_1), + if(tmp_3*(tmp_3-1)<Eps, + tmp3=append(tmp3,|tmp_1-q2|); + ); + ); + out=[min(tmp3),pt,t,s]; //18.01.30until + ); + , + dist=tmp_1; + tmp1=q1-p1; + n=[tmp1_2,-tmp1_1]/|tmp1|; + pts=[]; + tmp=Intersectline(p1,n,p2,q2-p2); + if(tmp_3*(tmp_3-1)<Eps, + tmp1=(1-tmp_3)*p2+tmp_3*q2; + pts=append(pts,[tmp1,0,tmp_3]); + ); + tmp=Intersectline(q1,n,p2,q2-p2); + if(tmp_3*(tmp_3-1)<Eps, + tmp1=(1-tmp_3)*p2+tmp_3*q2; + pts=append(pts,[tmp1,1,tmp_3]); + ); + tmp=Intersectline(p2,n,p1,q1-p1); + if(tmp_3*(tmp_3-1)<Eps, + tmp1=(1-tmp_3)*p1+tmp_3*q1; + pts=append(pts,[tmp1,tmp_3,0]); + ); + tmp=Intersectline(q2,n,p1,q1-p1); + if(tmp_3*(tmp_3-1)<Eps, + tmp1=(1-tmp_3)*p1+tmp_3*q1; + pts=append(pts,[tmp1,tmp_3,2]); + ); + if(length(pts)==0, + tmp1=min([|p2-p1|,|q2-p1|,|p2-q1|,|q2-q1|]); + out=[tmp1]; + , + if(dist>Eps1, + out=[dist]; + , + tmp=apply(pts,#_1_1); + tmp1=sum(tmp)/(length(pts)); + tmp=apply(pts,#_1_2); + tmp2=sum(tmp)/(length(pts)); + tmp3=[tmp1,tmp2]; + tmp=Nearestpt(tmp3,seg1); + tmp1=tmp_2; + tmp=Nearestpt(tmp3,seg2); + tmp2=tmp_2; + out=[dist,tmp3,tmp1,tmp2]; + ); + ); + ); + ); + out; +); + +Osplineseg(list):=Osplineseg(list,[]); +Osplineseg(ptlist,optionsorg):=( + regional(tmp,tmp1,tmp2,list,ptL,ctrL,Eps,Eps0, + p0,p1,p2,p3,pQ,pR,cc,p01,p02,p11,p12,p21,p22,p31,p32,out); + Eps=10^(-2); + Eps0=10^(-6); + if(isstring(ptlist),list=parse(ptlist),list=ptlist); + p0=list_1; p1=list_2; p2=list_3; p3=list_4; + tmp=1+sqrt((1+Dotprod(p2-p0,p3-p1)/|p2-p0|/|p3-p1|)/2); + cc=4*|p2-p1|/3/(|p2-p0|+|p3-p1|)/tmp; + pQ=p1+cc*(p2-p0); // 15.09.21 // 16.08.16 + pR=p2+cc*(p1-p3); // 16.08.16 + ctrL=[pQ,pR]; + options=optionorg; + options=concat(options,["Num=20","nodata"]); + out=Bezier("",[p1,p2],ctrL,options); + out; +); + +Intersectpartseg(crv1,crv2,ii,jj,Eps1,Eps2):=( + Intersectpartseg(crv1,crv2,ii,jj,Eps1,Eps2,10*Eps2); +); +Intersectpartseg(crv1org,crv2org,ii,jj,Eps1,Eps2,Dist):=( + regional(crv1,crv2,Eps,dst,kk,ll,seg1,seg2,snang, + p0,p1,p2,p3,os1,os2,out,tmp,tmp1,tmp2,flg); + crv1=crv1org; crv2=crv2org; + if(isstring(crv1),crv1=parse(crv1)); + if(isstring(crv2),crv2=parse(crv2)); + Eps=10^(-4); +// Eps1=0.01; +// Eps2=0.1; +// Dist=10*Eps2; + out=[]; + seg1=[crv1_ii,crv1_(ii+1)]; + seg2=[crv2_jj,crv2_(jj+1)]; + tmp1=seg1_2-seg1_1; + tmp2=seg2_2-seg2_1; + snang=abs(Crossprod(tmp1,tmp2))/(norm(tmp1)*norm(tmp2)); + tmp=Intersectseg(seg1,seg2,Eps1); + dst=tmp_1; + if(dst<Eps, + out=[tmp_2,ii+tmp_3,jj+tmp_4,dst,snang]; + , + if(dst<Eps2, + if((length(crv1)==2)%(|seg1_2-seg1_1|>Dist-Eps), + os1=seg1; + , + p1=seg1_1; p2=seg1_2; + if(ii==1, + p3=crv1_3; + tmp=p2-p1; + tmp=(p1+p2)/2+[tmp_2,-tmp_1]; + p0=Reflectpoint(p3,[(p1+p2)/2,tmp]); + , + if(ii==length(crv1)-1, + p0=crv1_(ii-1); + tmp=p2-p1; + tmp=(p1+p2)/2+[tmp_2,-tmp_1]; + p3=Reflectpoint(p0,[(p1+p2)/2,tmp]); + , + p0=crv1_(ii-1); p3=crv1_(ii+2); + ); + ); + os1=Osplineseg([p0,p1,p2,p3]); + ); + if((length(crv2)==2)%(|seg2_2-seg2_1|>Dist-Eps), //18.01.05 + os2=seg2; + , + p1=seg2_1; p2=seg2_2; + if(jj==1, + p3=crv2_3; + tmp=p2-p1; + tmp=(p1+p2)/2+[tmp_2,-tmp_1]; + p0=Reflectpoint(p3,[(p1+p2)/2,tmp]); + , + if(jj==length(crv2)-1, + p0=crv2_(jj-1); + tmp=p2-p1; + tmp=(p1+p2)/2+[tmp_2,-tmp_1]; + p3=Reflectpoint(p0,[(p1+p2)/2,tmp]); + , + p0=crv2_(jj-1); p3=crv2_(jj+2); + ); + ); + os2=Osplineseg([p0,p1,p2,p3]); + ); + tmp2=[]; + forall(1..(length(os1)-1),kk, + forall(1..(length(os2)-1),ll, + seg1=[os1_kk,os1_(kk+1)]; + seg2=[os2_ll,os2_(ll+1)]; + tmp=Intersectseg(seg1,seg2,Eps1); + if((tmp_1<Eps1)&(length(tmp)>1), //18.02.06 + if(tmp_1<dst+Eps, + dst=tmp_1; + tmp2=select(tmp2,#_1<dst); + tmp2=append(tmp2,[dst,tmp_2]); + ); + ); + ); + ); + if(length(tmp2)>0, + tmp=apply(tmp2,#_2_1); + tmp1=[sum(tmp)/length(tmp2)]; + tmp=apply(tmp2,#_2_2); + tmp1=append(tmp1,sum(tmp)/length(tmp2)); + out=[tmp1]; + p1=crv1_ii; p2=crv1_(ii+1); + tmp=[Op(2,p2-p1),-Op(1,p2-p1)]; + tmp=Intersectline(out_1,tmp,p1,p2-p1); + tmp=min([max([tmp_3,0]),1]); + out=[tmp1,ii+tmp]; + p1=crv2_jj; p2=crv2_(jj+1); + tmp=[Op(2,p2-p1),-Op(1,p2-p1)]; + tmp=Intersectline(out_1,tmp,p1,p2-p1); + tmp=min([max([tmp_3,0]),1]); + out=concat(out,[jj+tmp,dst,snang]); + ); + ); + ); + out; +); + +if(1==0, + +Collectnear(ptdL,Eps2):=( + regional(Eps,gL,rL,numL,ii,jj,flg,tmp,tmp1); + Eps=10^(-4); + gL=[ptdL_1]; + rL=ptdL_(2..(length(ptdL))); + flg=0; + forall(1..(length(ptdL)-1),ii, + if(flg==0, + numL=[]; + forall(1..(length(rL)),jj, + tmp1=100; + forall(gL, + tmp=|#_1-rL_jj_1|; + if(tmp<tmp1,tmp1=tmp); + ); + if(tmp1<Eps2,numL=append(numL,jj)); + ); + if(length(numL)==0, + flg=1; + , + gL=concat(gL,rL_(numL)); + rL=remove(rL,rL_(numL)); + ); + ); + ); + [gL,rL]; +); + +); + +Collectsameseg(ptdL):=( + regional(Eps,gL,rL,numL,ii,jj,flg,tmp,tmp1,tmp2,tmp1md, + dst,kk,s1,e1,s2,e2); + Eps00=10^(-8); + if(length(ptdL)==0, + gL=[];rL=[]; + , + tmp1md=[ptdL_1]; + rL=ptdL_(2..(length(ptdL))); + tmp1=tmp1md_1; + kk=floor(tmp1_2); + if(tmp1_2<kk+Eps00, + s1=kk-1-Eps00; e1=s1+2+2*Eps00; + , + s1=kk-Eps00; e1=s1+1+2*Eps00; + ); + kk=floor(tmp1_3); + if(tmp1_3<kk+Eps00, + s2=kk-1-Eps00; e2=s2+2+2*Eps00; + , + s2=kk-Eps00; e2=s2+1+2*Eps00; + ); + numL=[]; + forall(1..(length(rL)),ii, + tmp=rL_ii; + tmp1=tmp_2;tmp2=tmp_3; + if((tmp1>s1)&(tmp1<e1)&(tmp2>s2)&(tmp2<e2), + tmp1md=append(tmp1md,tmp); + numL=append(numL,ii); + ); + ); + gL=[]; + tmp=apply(tmp1md,#_4); + dst=min(tmp); + forall(tmp1md, + if(#_4<dst+Eps00, + gL=append(gL,#); + ); + ); + rL=remove(rL,rL_(numL)); + ); + [gL,rL]; +); + +IntersectcurvesPp(crv1org,crv2org):=IntersectcurvesPp(crv1org,crv2org,[]); +IntersectcurvesPp(crv1org,crv2org,options):=( +//help:IntersectcurvesPp(crv1,crv2); +//help:IntersectcurvesPp(options=[Eps1(0.01),Eps2(0.1),Dist(2)]) + regional(Eps,Eps1,Eps2,Dist,crv1,crv2,ii,jj,seg1,seg2,self,loopL,out, + flg,tmp,tmp1,tmp2); + Eps=10^(-4); + Eps1=0.01; + Eps2=0.1; + Dist=10*Eps2; + if(length(options)>0, + Eps1=options_1; + if(length(options)>1, + Eps2=options_2; + Dist=10*Eps2; + if(length(options)>2, + Dist=options_3; + ); + ); + ); + if(isstring(crv1org),tmp1=parse(crv1org),tmp1=crv1org);//18.01.05from + if(isstring(crv2org),tmp2=parse(crv2org),tmp2=crv2org); + tmp1=apply(tmp1,LLcrd(#)); + tmp2=apply(tmp2,LLcrd(#)); + crv1=[tmp1_1]; + forall(tmp1, + tmp=crv1_(length(crv1)); + if(|tmp-#|>Eps, + crv1=append(crv1,#); + ); + ); + crv2=[tmp2_1]; + forall(tmp2, + tmp=crv2_(length(crv2)); + if(|tmp-#|>Eps, + crv2=append(crv2,#); + ); + );//18.01.05until + if(crv1==crv2, + self=1; + , + self=0; + ); + out=[]; + forall(1..(length(crv1)-1),ii, + if(self==0, + loopL=1..(length(crv2)-1); + , + loopL=(ii+2)..(length(crv2)-1); + ); + forall(loopL,jj, + tmp=Intersectpartseg(crv1,crv2,ii,jj,Eps1,Eps2,Dist); + if(length(tmp)>0, + if(length(out)==0, + out=[tmp]; + , + tmp1=out_(length(out)); + if(|tmp1_1-tmp_1|>Eps1, + out=append(out,tmp); + ); + ); + if(self==1, + tmp=[tmp_1,tmp_3,tmp_2,tmp_4,tmp_5]; + out=append(out,tmp); + ); + ); + ); + ); + tmp2=out; + out=[]; + tmp1=tmp2; + flg=0; + forall(1..(length(tmp2)), + if(flg==0, + tmp=Collectsameseg(tmp1); + out=append(out,tmp_1); + if(length(tmp_2)==0, + flg=1; + , + tmp1=tmp_2; + ); + ); + ); + forall(1..(length(out)),ii, + tmp1=out_ii; + if(length(tmp1)==1, + out_ii=tmp1_1; + , + tmp=apply(tmp1,#_4); + dst=min(tmp); + tmp1=select(tmp1,#_4<dst+Eps); + tmp=apply(tmp1,#_1); + tmp=sum(tmp)/length(tmp); + tmp2=[tmp]; + tmp=Nearestpt(tmp2_1,crv1org); + tmp2=append(tmp2,tmp_2); + tmp=Nearestpt(tmp2_1,crv2org); + tmp2=append(tmp2,tmp_2); + tmp2=concat(tmp2,[dst,tmp1_1_5]); + out_ii=tmp2; + ); + ); + out; +); + +Intersectcurves(crv1org,crv2org):=Intersectcurves(crv1org,crv2org,[]); +Intersectcurves(crv1org,crv2org,options):=( +//help:Intersectcurves(crv1,crv2); +//help:Intersectcurves(options=[Eps1(0.1),Dist(2)]) + regional(tmp); + tmp=IntersectcurvesPp(crv1org,crv2org,options); + tmp=apply(tmp,#_1); +); + +///////////End of new Intersect ////////////// + +NearestptcrvPhy(point,PL):=( + regional(tmp,pP,plist); + pP=Pcrd(point); + if(isstring(PL),plist=parse(PL),plist=PL); + if(MeasureDepth(plist)==2,plist=plist_1); + plist=apply(plist,#); // 14.12.18 + tmp=Nearestpt(pP,plist); + tmp=tmp_1; + [tmp_1/SCALEX,tmp_2/SCALEY]; +); + +Nearestptcrv(point,plist):=( +//help:Nearestptcrv(A,"gr1"); + regional(tmp); + tmp=Nearestpt(point,plist); + tmp_1; +); + +Nearestpt(point,PL2):=( + regional(PL1,PL,Ans,Flg,Eps,pA,Pm,Im,Sm,Nn,Ni, + a1,b1,a2,b2,v1,v2,x1,x2,Tmp,rT,pP,sS,Lm,Pm,Sm,Flg); +//help:Nearestpt("gr1","gr2"); + if(isstring(point),PL1=parse(point),PL1=point); + if(MeasureDepth(PL1)==2,PL1=PL1_1); + if(!islist(PL1_1), + PL1=[PL1]; + Flg=0; + , + Flg=1; + ); + if(isstring(PL2),PL=parse(PL2),PL=PL2); + if(MeasureDepth(PL)==2,PL=PL_1); + Eps=10^(-6); + Ans=[PL1_1,1,PL_1,1,|PL1_1-PL_1|]; + forall(1..(length(PL1)),Nn, // 16.05.04 + pA=PL1_Nn; + Pm=PL_1; + Im=1; + Sm=|Pm-pA|; + forall(1..(length(PL)-1),Ni, + a1=PL_Ni_1; a2=PL_Ni_2; + b1=PL_(Ni+1)_1; b2=PL_(Ni+1)_2; + v1=b1-a1; v2=b2-a2; + x1=pA_1; x2=pA_2; + Tmp=v2^2+v1^2; + if(abs(Tmp)>Eps, + rT=(-a2*v2-v1*a1+v1*x1+x2*v2)/Tmp; + if(rT<-Eps, + pP=[a1,a2]; + , + if(rT>1+Eps, + pP=[b1,b2]; + , + pP=[a1+rT*v1,a2+rT*v2]; + ); + ); + sS=|pP-pA|; + if(sS<Sm-Eps, + Tmp=ParamonCurve(pP,Ni,PL); + Pm=pP; Lm=Tmp; Sm=sS; + ); + ); + if(Sm<Ans_5, // 16.05.03from + Ans=[pA,Nn,Pm,Lm,Sm]; + ); + ); // 16.05.03until + ); + if(Flg==0, + Ans=Ans_(3..5); + ); + Ans; +); + +Derivative(fun,var,value):=Derivative(fun,var,value,[]); +Derivative(fun,var,value,options):=( +//help:Derivative("x^3","x",2); + regional(eqL,method,eps,str,x1,x2,y1,y2,tmp,tmp1,tmp2); + method="N"; + tmp=Divoptions(options); + eqL=tmp_5; + forall(eqL, + tmp=substring(#,"="); + tmp1=Toupper(substring(#,0,1)); + tmp2=substring(#,tmp,tmp+1); + if(tmp1=="M", + method=Toupper(tmp2); + ); + ); + if(method=="D", + str="d("; + str=str+replace(fun,var,"#")+","; + str=str+value+")"; + tmp=Pcrd([1,parse(str)]); // 14.11.08 + tmp_2; + ); + if(method=="N", + eps=10^(-6); + x1=max(XMIN,value-eps); + x2=min(XMAX,value+eps); + tmp=Assign(fun,[var,"("+format(x1,6)+")"]);//180408 + y1=parse(tmp); + tmp=Assign(fun,[var,"("+format(x2,6)+")"]);//180408 + y2=parse(tmp); + (y2-y1)/(x2-x1); + ); +); + +Integrate(pltdata,range):=Integrate(pltdata,range,[]); +Intergrate(Arg1,Arg2,Arg3):=( + regional(pltdata,range,options,fnstr,vartr); + if(islist(Arg2), + pltdata=Arg1; + range=Arg2; + options=Arg3; + Integrate(pltdata,range,options); + , + fnstr=Arg1; + vastr=Arg2; + range=Arg3; + Integrate(fnstr,vastr,range,[]); + ); +); + +Integrate(pltdata,range,options):=( +//help:Integrate("gr1",[1,3]); +//help:Integrate(options=["Rule=o"]); + regional(tmp,tmp1,eqL,Rule,pdata,Sm,ptP,ptQ,list,va1,va2); + tmp=Divoptions(options); + eqL=tmp_5; + Rule="o"; + forall(eqL, + if(Toupper(substring(#,0,1))=="R", + tmp=indexof(#,"="); + Rule=substring(#,tmp,tmp+1); + ); + ); + if(Rule=="o", + Sm= IntegrateO(pltdata,range); + , + if(isstring(pltdata),pdata=parse(pltdata),pdata=pltdata); + if(MeasureDepth(pdata)==2,pdata=pdata_1); + va1=MeetCurve(pdata,range_1,0); + va2=MeetCurve(pdata,range_2,0); + list=select(pdata,(#_1>range_1 & #_1<range_2)); + list=apply(list,LLcrd(#)); // 15.09.14 + list=concat([va1],list); + list=concat(list,[va2]); + Sm=0; + forall(1..(length(list)-1), + ptP=list_#; // 15.09.14 + ptQ=list_(#+1); + Sm=Sm+(ptP_2+ptQ_2)*(ptQ_1-ptP_1)/2; + ); + Sm; + ); +); + +Integrate(fnstr,vastr,range,options):=( +//help:Integrate("sin(x)","x",[0,pi],["Num=100","Rule=s"]); + regional(tmp,tmp1,Sm,Lx,Rx,va1,va2,Num,Waysx,ex,dx,xn,yn,x0,x1,x2,y0,y1,y2); + Num=100; + Way="t"; + forall(options, + if(indexof(#,"=")>0, + if(indexof(#,"N=")>0, + Num=parse(substring(#,indexof(#,"="),length(#))); + ); + if(indexof(#,"Num=")>0, + Num=parse(substring(#,indexof(#,"="),length(#))); + ); + if(Toupper(substring(#,0,1))=="R", + tmp=indexof(#,"="); + Way=substring(#,tmp,tmp+1); + ); + ); + ); + Sm=0; + if(Way=="t", + forall(1..Num, + Lx=range_1+(range_2-range_1)*(#-1)/Num; + Rx=range_1+(range_2-range_1)*#/Num; + va1=parse(replace(fnstr,vastr,textformat(Lx,5))); + va2=parse(replace(fnstr,vastr,textformat(Rx,5))); + Sm=Sm+(va1+va2)*(Rx-Lx)/2; + ); + , + sx=range_1; + ex=range_2; + dx=(ex-sx)/Num; + xn=apply(0..Num,sx+#*dx); + yn=apply(xn,parse(replace(fnstr,vastr,textformat(#,5)))); + dx=dx/2; + repeat(Num,s, + x0=xn_s; + x1=(xn_s+xn_(s+1))/2; + x2=xn_(s+1); + y0=yn_s; + y1=parse(replace(fnstr,vastr,textformat(x1,5))); + y2=yn_(s+1); + Sm=Sm+dx*(y0+4*y1+y2)/3; + ); + ); + Sm; +); + +IntegrateO(p0org,p1org,p2org,p3org):=( + regional(p0,p1,p2,p3,pQ,pR,cc,p01,p02, + p11,p12,p21,p22,p31,p32, tmp); + if(ispoint(p0org),p0=p0org.xy,p0=p0org); // 16.03.10 + if(ispoint(p1org),p1=p1org.xy,p1=p1org); // 16.03.16 + if(ispoint(p2org),p2=p2org.xy,p2=p2org); + if(ispoint(p3org),p3=p3org.xy,p3=p3org); + tmp=1+sqrt((1+Dotprod(p2-p0,p3-p1)/|p2-p0|/|p3-p1|)/2); + cc=4*|p2-p1|/3/(|p2-p0|+|p3-p1|)/tmp; + pQ=p1+cc*(p2-p0); + pR=p2+cc*(p1-p3); + p01=p1_1; p02=p1_2; + p31=p2_1; p32=p2_2; + p11=pQ_1; p12=pQ_2; + p21=pR_1; p22=pR_2; + tmp=-6*p12*p01+3*p12*p21+3*p12*p31+6*p02*p11- + 10*p02*p01+3*p02*p21+p02*p31-3*p22*p11- + 3*p22*p01+6*p22*p31-3*p32*p11-p32*p01- + 6*p32*p21+10*p32*p31; + tmp=tmp/20; +); +IntegrateO(pltdata,rangeorg):=( +//help:IntegrateO("gr1",[0,2]); + regional(tmp,tmp1,tmp2,pdata,va1,va2,list,Bzk,Bzc,range,pmflg, + Sm,p0,p1,p2,p3,pQ,pR,cc,p01,p02,p11,p12,p21,p22,p31,p32); + if(isstring(pltdata), + pdata=parse(pltdata); + , + pdata=pltdata; + ); + if(MeasureDepth(pdata)==2,pdata=pdata_1); + range=rangeorg; + pmflg=1; + if(range_2<range_1, + range=reverse(range); + pmflg=-1; + ); + va1=MeetCurve(pdata,range_1,0); + va2=MeetCurve(pdata,range_2,0); + list=select(pdata,(#_1>range_1 & #_1<range_2)); + if(length(list)>0, // 16.09.25 + if(list_1_1>list_(length(list))_1, //16.11.03 + list=reverse(list); +// pmflg=pmflg*(-1); + ); + ); + list=apply(list,LLcrd(#)); + list=concat([va1],list); + list=concat(list,[va2]); + Sm=0; + forall(1..(length(list)-1), + p1=list_#; + p2=list_(#+1); + if(#==1 % #==length(list)-1, + tmp1=(p1_2+p2_2)*(p2_1-p1_1)/2; + Sm=Sm+tmp1; + , + p0=list_(#-1); + p3=list_(#+2); + tmp=1+sqrt((1+Dotprod(p2-p0,p3-p1)/|p2-p0|/|p3-p1|)/2); + cc=4*|p2-p1|/3/(|p2-p0|+|p3-p1|)/tmp; + pQ=p1+cc*(p2-p0); + pR=p2+cc*(p1-p3); + p01=p1_1; p02=p1_2; + p31=p2_1; p32=p2_2; + p11=pQ_1; p12=pQ_2; + p21=pR_1; p22=pR_2; + tmp1=-6*p12*p01+3*p12*p21+3*p12*p31+6*p02*p11- + 10*p02*p01+3*p02*p21+p02*p31-3*p22*p11- + 3*p22*p01+6*p22*p31-3*p32*p11-p32*p01- + 6*p32*p21+10*p32*p31; + tmp1=tmp1/20; + Sm=Sm+tmp1; + ); + ); + if(pmflg==-1, + Sm=-Sm; + ); + Sm; +); + +Findarea(pdstr):=( +//help:Findarea("sgABCA"); + regional(pd,p1,p2,s,tmp); + if(isstring(pdstr),pd=parse(pdstr),pd=pdstr); + s=0; + forall(1..(length(pd)-1), + p1=Lcrd(pd_#); + p2=Lcrd(pd_(#+1)); + tmp=(p1_2+p2_2)*(p2_1-p1_1)/2; + s=s+tmp; + ); + if(s<0,s=-s); + s; +); + +Findarea(pdstr):=( // 15.11.27 +//help:Findarea("cr1"); + regional(pd,p0,p1,p2,p3,s,tmp); + if(isstring(pdstr),pd=parse(pdstr),pd=pdstr); + s=0; + forall(1..(length(pd)-1), + p1=pd_#; + p2=pd_(#+1); + if(#==1,p0=pd_(length(pd)-1),p0=pd_(#-1)); + if(#==length(pd)-1,p3=pd_2,p3=pd_(#+2)); + tmp=IntegrateO(p0,p1,p2,p3); + s=s+tmp; + ); + if(s<0,s=-s); + s; +); + +Findlength(pdstr):=( +//help:Findlength("gr1"); + regional(pd,p1,p2,s,tmp); + if(isstring(pdstr),pd=parse(pdstr),pd=pdstr); + s=0; + forall(1..(length(pd)-1), + p1=Lcrd(pd_#); + p2=Lcrd(pd_(#+1)); + tmp=|p2-p1|; + s=s+tmp; + ); + s; +); + +Inversefun(fnstr,rngstr,value):=( + regional(tmp,varstr,range,x1,x2,x3,va1,va2); + tmp=indexof(rngstr,"="); + varstr=substring(rngstr,0,tmp-1); + range=parse(substring(rngstr,tmp,length(rngstr))); + x1=range_1; x2=range_2; + repeat(15, + x3=(x1+x2)/2; + va1=parse(replace(fnstr,varstr,textformat(x1,5))); + va2=parse(replace(fnstr,varstr,textformat(x3,5))); + if((va1>value & va2>value) % (va1<value & va2<value), + x1=x3; + , + x2=x3; + ); + ); + va1=parse(replace(fnstr,varstr,textformat(x1,5)))-value; + va2=parse(replace(fnstr,varstr,textformat(x2,5)))-value; + if(x1==range_1 % x2==range_2, + println("not found in ("+textformat(range_1,5) + +","+textformat(range_2,5)+")"); + ); + if(abs(va1)<=abs(va2),x1,x2); +); + +Com0th(String):=( + regional(str); + str=replace(String,LFmark,""); + COM0thlist=append(COM0thlist,str); +); + +Com1st(String):=( + regional(str); + str=replace(String,LFmark,""); + GLIST=append(GLIST,str); // 15.05.27 +// COM1stlist=append(COM1stlist,str); +); + +Com2nd(String):=( +// help:Com2nd(""); + regional(str); + str=replace(String,LFmark,""); + COM2ndlist=append(COM2ndlist,str); +); + +Com2ndpre(String):=( + regional(str); + str=replace(String,LFmark,""); + COM2ndlist=prepend(str,COM2ndlist); +); + +Texcom(strorg):=( //17.09.22 +//help:Texcom("\color[cmyk]{0,0,0,0.5}"); + regional(str); + str=replace(strorg,"\","\\"); + str=replace(str,"\\\\","\\"); + str="Texcom("+Dq+str+Dq+")"; + Com2nd(str); +); + +Ketcindylogo():=( +//help:Ketcindylogo(); + Com2nd("Texcom("+Dq+"\def\ketcindy{{K\kern-.20em + \lower.5ex\hbox{E}\kern-.125em{TCindy}}}"+Dq+")"); +); + +Drwline():=Drwline(textformat(GrL,5)); +Drwline(gstr):=( + Com2nd("Drwline("+gstr+")"); +); + +Dashline(gstr):=( + Com2nd("Dashline("+gstr+")"); +); + +Invdashline(gstr):=( + Com2nd("Invdashline("+gstr+")"); +); + +Dottedline(gstr):=( + Com2nd("Dottedline("+gstr+")"); +); + +SetEnglish():=( +//help:SetEnglish(); + Com0th("setlanguage('en')"); +); + +Drawlinetype(name,type):=( +//help:Drawlinetype("gr1","da,1"); + regional(Dop,tmp,tmp1,tmp2); + Dop=""; + tmp1=indexof(type,","); + if(tmp1>0, + Dop=","+substring(type,tmp1,length(type)); + ); + tmp1=Toupper(substring(type,0,3)); + if(tmp1=="DR", + Drwline(name+Dop); + ); + if(tmp1=="DA", + Dashline(name+Dop); + ); + if(tmp1=="ID", + Invdashline(name+Dop); + ); + if(tmp1=="DO", + Dottedline(name+Dop); + ); +); + +Setunitlen():=( + println(ULEN); +); +Setunitlen(UI):=( + regional(Dx,Dy,Sym,SL,OL,Is,VL,Ucode,ii,cha, + str,Unit,Valu,flg,tmp); + Dx=XMAX-XMIN; + Dy=YMAX-YMIN; + Sym=".0123456789 +-*/"; + SL=Sym; + OL="+-*/"; + if(length(UI)>0, + ULEN=UI; + GLIST=append(GLIST,"Setunitlen("+Dq+string+Dq+")"); + ); + Is=1; + VL=""; + Ucode=ULEN; + flg=0; + forall(1..(length(Ucode)),ii, + if(flg==0, + cha=substring(Ucode,ii-1,ii); + if(indexof(SL,cha)>0, + if(indexof(OL,cha)>0, + tmp=substring(Ucode,Is-1,ii); + str=VL+tmp+cha; + VL=str; + Is=ii+1; + ); + , + Unit=substring(Ucode,ii-1,ii+1); + str=substring(Ucode,Is-1,ii-1); + VL=VL+str; + flg=1; + ); + ); + ); + Valu=parse(VL); + str=format(Valu,6); + ULEN=str+Unit; + if(Unit=="cm",MilliIn=1000/2.54*Valu); + if(Unit=="mm",MilliIn=1000/2.54*Valu/10); + if(Unit=="in",MilliIn=1000*Valu); + if(Unit=="pt",MilliIn=1000/72.27*Valu); + if(Unit=="pc",MilliIn=000/6.022*Valu); + if(Unit=="bp",MilliIn=1000/72*Valu); + if(Unit=="dd2",MilliIn=1000/1238/1157/72.27*Valu); + if(Unit=="cc",MilliIn=1000/1238/1157/72.27*12*Valu); + if(Unit=="sp",MilliIn=1000/72.27/65536*Valu/10); + MARKLEN=MARKLENNow*1000/2.54/MilliIn; + MEMORI=MEMORINow*1000/2.54/MilliIn; +); + +Setmarklen(ratio):=( +//help:Setmarklen(0.2); + MARKLEN=ratio*0.2;//16.11.01 + Com2nd("Setmarklen("+textformat(ratio,5)+")"); +); + +Setorigin(point):=( +//help:Setorigin([1,2]); + Com2nd("Setorigin("+textformat(point,5)+")"); +); + +Fontsize(sizestr):=( +//help:Fontsize("s"); + Com2nd("Fontsize('"+sizestr+"')"); +); + +Setpen(width):=( +//help:Setpen(2); + PenThick=PenThickInit*width; // 16.04.09 + Com2nd("Setpen("+text(width)+")"); +); + +Lcrd(pt):=( + regional(tmp); + if(ispoint(pt), + tmp=[pt.x/SCALEX,pt.y/SCALEY]; + , + tmp=pt; + ); + tmp; +); + +Pcrd(pt):=( + regional(tmp); + if(ispoint(pt), + tmp=re(pt.xy); // 15.07.24 + , + tmp=[pt_1*SCALEX,pt_2*SCALEY]; + ); + tmp; +); + +LLcrd(pt):=( + regional(tmp); + if(ispoint(pt), + tmp=pt.xy + , + tmp=pt; + ); + tmp=[tmp_1/SCALEX,tmp_2/SCALEY]; + tmp; +); + +Doscaling(pltdata):=( + regional(Level,Out,gL,gr,tmp); + if(ispoint(pltdata) % isreal(pltdata_1), + gL=[[pltdata]]; + Level=0; + , + if(ispoint(pltdata_1) % isreal(pltdata_1_1), + gL=[pltdata]; + Level=1; + , + gL=pltdata; + Level=2; + ); + ); + Out=[]; + forall(gL,gr, + tmp=apply(gr,Lcrd(#)); + tmp=apply(tmp,LLcrd(#)); + Out=concat(Out,[tmp]); + ); + if(Level==0, + Out=Out_1_1; + ); + if(Level==1, + Out=Out_1; + ); + Out; +); + +Unscaling(pltdata):=( + regional(Level,Out,gL,gr,tmp); + if(ispoint(pltdata) % isreal(pltdata_1), + gL=[[pltdata]]; + Level=0; + , + if(ispoint(pltdata_1) % isreal(pltdata_1_1), + gL=[pltdata]; + Level=1; + , + gL=pltdata; + Level=2; + ); + ); + Out=[]; + forall(gL,gr, + tmp=apply(gr,Lcrd(#)); + tmp=apply(tmp,LLcrd(#)); + Out=concat(Out,[tmp]); + ); + if(Level==0, + Out=Out_1_1; + ); + if(Level==1, + Out=Out_1; + ); + Out; +); + +Setpt(n):=Ptsize(n); +//help:Setpt(5); +Ptsize(n):=( + println("Setpt("+text(n)+")"); + TenSize=TenSizeInit*n; + Com2nd("Setpt("+text(n)+")"); // 14.01.19 +); + +Definecolor(name,data):=( +//help:Definecolor("mycolor",[1,1,1,0]); + regional(type,tmp); + if(length(data)>3,type="cmyk",type="rgb"); + tmp=text(data); + tmp=substring(tmp,1,length(tmp)-1); + tmp="\definecolor{"+name+"}{"+type+"}{"+tmp+"}"; + Texcom(tmp); +); + +Setcolor(Par):=( +//help:Setcolor([1,0,0,1]); +//help:Setcolor([1,1,0]); + if(islist(Par), + if(length(Par)==3, + Setcolorrgb(Par); // 2015.04.28 +// KCOLOR=Par; + ); + if(length(Par)==4, + Setcolor(Par,[]); + ); + , + Setcolor(Par,[]); + ); +); + +Setcolor(colorname,options):=( +//help:Setcolor("greenyellow",0.3); + regional(tmp); + if(isstring(colorname), + tmp="Setcolor("+Dq+colorname+Dq; + if(length(options)>0, + tmp=tmp+","+text(options_1); + ); + Com2nd(tmp+")"); + ); + if(islist(colorname), + tmp=text(colorname); + tmp=substring(tmp,1,length(tmp)-1); + Texcom("\color[cmyk]{"+tmp+"}"); //17.09.22 + ); +); + +Setcolorrgb(colorlist):=( +// help:Setcolorrgb([0.5,0.3,0.4]); + regional(tmp); + tmp=text(colorlist); + tmp=substring(tmp,1,length(tmp)-1); + tmp="Texcom("+Dq+"\\color[rgb]{"+tmp+"}"+Dq+")"; //17.10.07 + Com2nd(tmp); +); + +ColorRgb2Cmyk(clr):=( +// help:ColorRgb([0.2,0.5,0.1]); + regional(clrnew,tmp,black); + tmp=apply(clr,1-#); + black=min(tmp); + tmp=apply(clr,(1-#-black)/(1-black)); + clrnew=append(tmp,black); + clrnew; +); + +ColorCmyk2Rgb(clr):=( +// help:ColorRgb([0.2,0.5,0.1,0.2]); + regional(clrnew,tmp,black); + black=clr_4; + tmp=apply(clr,1-min(1,#*(1-black)+black)); + clrnew=tmp_(1..3); + clrnew; +); + +Colorrgbhsv(rgb):=( + regional(varR,varG,varB,varMin,varMax,delMax,hh,ss,vv,delR,delG,delB); + varR = rgb_1; + varG = rgb_2; + varB = rgb_3; + varMin = min( [varR, varG, varB] ); + varMax = max( [varR, varG, varB] ); + delMax = varMax - varMin ; + vv = varMax; + if ( delMax == 0 , + hh = 0 ; + ss = 0 ; + , + ss = delMax / varMax; + delR = ( ( ( varMax - varR ) / 6 ) + ( delMax / 2 ) ) / delMax; + delG = ( ( ( varMax - varG ) / 6 ) + ( delMax / 2 ) ) / delMax; + delB = ( ( ( varMax - varB ) / 6 ) + ( delMax / 2 ) ) / delMax; + if( varR == varMax , + hh = delB - delG; + , + if ( varG == varMax, + hh = ( 1 / 3 ) + delR - delB; + , + if ( varB == varMax , + hh = ( 2 / 3 ) + delG - delR; + ); + ); + ); + if ( hh < 0 ,hh = hh+1); + if ( hh > 1 ,hh = hh-1); + ); + [hh*360,ss,vv]; +); + +Colorhsvrgb(sL):=( + regional(tmp,tmp1,tmp2,tmp3,hi,ff,dL); + tmp=[sL_1/60,sL_2,sL_3]; + hi=mod(floor(tmp_1),6); + ff=tmp_1-floor(tmp_1); + tmp2=tmp_3*[1-tmp_2,1-tmp_2*ff,1-tmp_2*(1-ff)]; + tmp2=append(tmp2,tmp_3); + if(hi==0,dL=tmp2_[4,3,1]); + if(hi==1,dL=tmp2_[2,4,1]); + if(hi==2,dL=tmp2_[1,4,3]); + if(hi==3,dL=tmp2_[1,2,4]); + if(hi==4,dL=tmp2_[3,1,4]); + if(hi==5,dL=tmp2_[4,1,2]); + dL; +); + +Colorrgbhsl(rgb):=( + regional(rr,gg,bb,mn,mx,delta,deltaR,deltaG,deltaB,hh,ss,ll); + rr = rgb_1 ; + gg = rgb_2 ; + bb = rgb_3 ; + mn = min([rr, gg, bb]); + mx = max([rr, gg, bb]); + delta = mx - mn; + ll = (mx + mn) / 2; + if (delta == 0, + hh=0; + ss=0; + , + if (ll < 0.5, + ss = delta/ (mx + mn); + , + ss = delta / (2 - mx - mn); + ); + deltaR = (((mx - rr) / 6) + (delta / 2)) / delta; + deltaG = (((mx - gg) / 6) + (delta / 2)) / delta; + deltaB = (((mx - bb) / 6) + (delta / 2)) / delta; + if (rr == mx, + hh = deltaB - deltaG; + , + if (gg == mx, + hh = (1 / 3) + deltaR - deltaB; + , + if (bb == mx, + hh = (2 / 3) + deltaG - deltaR; + ); + ); + ); + if ( hh < 0, hh = hh+1); + if ( hh > 1, hh = hh-1); + ); + [hh*360,ss,ll]; +); + +Colorhslrgb(hsl):=( + regional(hh,ss,ll,rr,gg,bb,var1,var2); + hh=hsl_1/360; + ss=hsl_2; + ll=hsl_3; + if ( ss == 0.0, + rr = ll ; + gg = ll ; + bb = ll ; + , + if ( ll < 0.5 , + var2 = ll * ( 1.0 + ss ); + , + var2 = ( ll + ss ) - ( ss * ll ); + ); + var1 = 2.0 * ll - var2; + rr = hue2rgb( var1, var2, hh + ( 1.0 / 3.0 ) ); + gg = hue2rgb( var1, var2, hh ); + bb = hue2rgb( var1, var2, hh - ( 1.0 / 3.0 ) ); + ); + [rr,gg,bb]; +); + +hue2rgb(vv1,vv2,vh):=( + regional(out); + if ( vh < 0.0 ,vh =vh+1); + if ( vh > 1.0 ,vh =vh-1); + if ( 6.0*vh < 1.0 , + out = vv1 + ( vv2 - vv1 ) * 6.0 * vh ; + , + if( 2.0*vh < 1.0 , + out = vv2; + , + if ( 3.0*vh < 2.0 , + out = vv1 + ( vv2 - vv1 ) * ( ( 2.0 / 3.0 ) - vh ) * 6.0 ; + , + out= vv1 ; + ); + ); + ); + out; +); + +Colorrgbhwb(sL):=( + regional(dl1,dl2,dl3); + dl1 = Colorrgbhsl(sL)_1;//Colorcode("rgb","hsl",sL)_1; + dl2 = min(sL); + dl3 = 1 - max(sL); + dL= [dl1, dl2 , dl3 ]; +); + +Colorhwbrgb(sLorg):=( + regional(sL,tmp,tmp1,tmp2,tmp3,ratio,ff,ii,vv,nn,dL,flg); + sL=sLorg; + sL=[sL_1/360,sL_2,sL_3]; + ratio = sL_2 + sL_3; + // sL_2 + sL_3 cant be > 1 + if (ratio > 1., + sL_2 =sL_2 / ratio; + sL_3 = sL_3 / ratio; + ); + ii = floor(6 * sL_1); + vv = 1 - sL_3; + ff = 6 * sL_1 - ii; + if(mod(ii,2)==1,ff = 1 - ff); + nn = sL_2 + ff * (vv - sL_2); // linear interpolation + tmp=[[vv,nn,sL_2],[nn,vv,sL_2],[sL_2,vv,nn], + [sL_2,nn,vv],[nn,sL_2,vv],[vv,sL_2,nn],[vv,nn,sL_2]]; + flg=0; + forall(0..6, + if(flg==0 & ii == # , + dL=tmp_(#+1); + flg=1; + ); + ); + dL; +); + +Colorhslhsv(sL):=( + regional(dl1,dl2,dl3,dL); + dl1=sL_1; + if(sL_3 == 0, + // no need to do calc on black + // also avoids divide by 0 error + dL= [0, 0, 0]; + , + sL_3 = sL_3 * 2; + if(sL_3 <= 1,sL_2 = sL_2 * sL_3,sL_2 = sL_2 * (2 - sL_3)); + dl3 = (sL_3 + sL_2) / 2; + dl2 = (2 * sL_2) / (sL_3 + sL_2); + dL = [dl1, dl2, dl3]; + ); + dL; +); + +Colorcode(src,dest,sL):=( +//help:Colorcode("rgb","cmyk",[1,0.5,0]); + regional(tmp,tmp1,tmp2,tmp3,mn,mx,delta,black,dL,flg); + regional(dl1,dl2,dl3); + if(src=="rgb" & dest=="hsv", dL=Colorrgbhsv(sL)); + if(src=="hsv" & dest=="rgb", dL=Colorhsvrgb(sL)); + if(src=="rgb" & dest=="hsl", dL=Colorrgbhsl(sL)); + if(src=="hsl" & dest=="rgb", dL=Colorhslrgb(sL)); + if(src=="rgb" & dest=="hwb", dL=Colorrgbhwb(sL)); + if(src=="hwb" & dest=="rgb", dL=Colorhwbrgb(sL)); + if(src=="hsl" & dest=="hsv", dL=Colorhslhsv(sL)); + if(src=="hsv" & dest=="hsl", + dl1 = sL_1; + dl3 = (2 - sL_2) * sL_3; + dl2 = sL_2 * sL_3; + if(dl3 <= 1,dl2 = dl2/dl3,dl2=dl2/(2 - dl3)); + dl3 =d l3/ 2; + dL = [dl1, dl2 , dl3 ]; + ); + + if(src=="rgb" & dest=="cmyk", + tmp=apply(sL,1-#); + black=min(tmp); + tmp=apply(sL,(1-#-black)/(1-black)); + dL=append(tmp,black); + ); + if(src=="cmyk" & dest=="rgb", + black=sL_4; + tmp=apply(sL,1-min(1,#*(1-black)+black)); + dL=tmp_(1..3); + ); + if(src=="hsv" & dest=="cmyk", + tmp=Colorcode("hsv","rgb",sL); + dL=Colorcode("rgb","cmyk",tmp); + ); + if(src=="cmyk" & dest=="hsv", + tmp=Colorcode("cmyk","rgb",sL); + dL=Colorcode("rgb","hsv",tmp); + ); + + if(src=="hsv" & dest=="hwb", + tmp = Colorcode("hsv","rgb",sL); + dL = Colorcode("rgb","hwb",tmp); + ); + if(src=="hwb" & dest=="hsv", + tmp = Colorcode("hwb","rgb",sL); + dL = Colorcode("rgb","hsv",tmp); + ); + if(src=="hsl" & dest=="hwb", + tmp = Colorcode("hsl","rgb",sL); + dL = Colorcode("rgb","hwb",tmp); + ); + if(src=="hwb" & dest=="hsl", + tmp = Colorcode("hwb","rgb",sL); + dL = Colorcode("rgb","hsl",tmp); + ); + if(src=="hsl" & dest=="cmyk", + tmp = Colorcode("hsl","rgb",sL); + dL = Colorcode("rgb","cmyk",tmp); + ); + if(src=="hwb" & dest=="cmyk", + tmp = Colorcode("hwb","rgb",sL); + dL = Colorcode("rgb","cmyk",tmp); + ); + if(src=="cmyk" & dest=="hsl", + tmp = Colorcode("cmyk","rgb",sL); + dL = Colorcode("rgb","hsl",tmp); + ); + if(src=="cmyk" & dest=="hwb", + tmp = Colorcode("cmyk","rgb",sL); + dL = Colorcode("rgb","hwb",tmp); + ); + if(src=="hsb" & dest=="rgb",dL=Colorcode("hsv","rgb",sL)); + if(src=="rgb" & dest=="hsb",dL=Colorcode("rgb","hsv",sL)); + + if(src=="hsb" & dest=="hsl",dL=Colorcode("hsv","hsl",sL)); + if(src=="hsl" & dest=="hsb",dL=Colorcode("hsl","hsv",sL)); + + if(src=="hsb" & dest=="hwb",dL=Colorcode("hsv","hwb",sL)); + if(src=="hwb" & dest=="hsb",dL=Colorcode("hwb","hsv",sL)); + + if(src=="hsb" & dest=="cmyk",dL=Colorcode("hsv","cmyk",sL)); + if(src=="cmyk" & dest=="hsb",dL=Colorcode("cmyk","hsv",sL)); + + dL; +); + +Addcolor(cmdorg,list):=( +//help:Addcolor("Plotdata('1','x^2','x',[])",[1,1,0]); + regional(rgb,cmyk,cmd,tmp,tmp1,tmp2,tmp3,tmp4); + cmd=replace(cmdorg,"'",Dq); + if(length(list)==3, + rgb=list; + cmyk=Colorcode("rgb","cmyk",list); + , + cmyk=list; + rgb=Colorcode("cmyk","rgb",list); + ); + tmp1="color->"+text(rgb); + tmp2="Setcolor("+text(cmyk)+");"; + tmp3=substring(cmd,0,length(cmd)-2); + tmp=substring(tmp3,length(tmp3)-1,length(tmp3)); + if(tmp!="[", + tmp3=tmp3+","; + ); + tmp3=tmp3+Dq+tmp1+Dq+"])"; + parse(tmp2); + parse(tmp3); + Setcolor("black"); +); + +Colorinfile(filename,clrf,clrt):=( + regional(tmp,tmp1,tmp2,head,cstrL,chstrL,head,body); + if(length(clrf_1)==3, + head="[rgb]{"; + , + head="[cmyk]{"; + ); + tmp=apply(clrf,text(#)); + cstrL=apply(tmp,head+substring(#,1,length(#)-1)+"}"); + if(length(clrt_1)==3, + head="[rgb]{"; + , + head="[cmyk]{"; + ); + tmp=apply(clrt,text(#)); + chstrL=apply(tmp,head+substring(#,1,length(#)-1)+"}"); + tmp1=load(filename); + tmp=tokenize(tmp1,"{\unitlength"); + head=tokenize(tmp_1,"%%%"); + head=head_(2..(length(head))); + head=apply(head,"%%%"+#); + tmp2=tmp_2; + forall(1..5, + tmp2=replace(tmp2,cstrL_#,chstrL_#); + ); + body=tokenize(tmp2,"%"); + body_1="{\unitlength"+body_1; + body=apply(body,#+"%"); + body=body_(1..(length(body)-1)); + tmp=replace(filename,".tex","new.tex"); + SCEOUT=openfile(tmp); + forall(head, + println(SCEOUT,#); + ); + forall(1..(length(body)), + tmp=body_#; + if(#<length(body), + println(SCEOUT,tmp); + , + print(SCEOUT,tmp) + ); + ); + closefile(SCEOUT); +); + +GetLinestyle(str,name):=( + regional(noflg,tmp,tmp1,tmp2,Dop,Ltype,subflg); + Ltype=-1; + Dop=""; + tmp1=indexof(str,","); + if(tmp1>0, + Dop=","+substring(str,tmp1,length(str)); + ); + noflg=parse(substring(str,0,1)); + if(substring(name,0,3)=="sub",subflg=1,subflg=0); // 16.02.29 + tmp1=substring(str,1,3); + if(tmp1=="dr" % tmp1=="Dr", + Ltype=0; + if(noflg==0 & subflg==0, // 16.02.29 + Drwline(name+Dop); + ); + ); + if(tmp1=="da" % tmp1=="Da", + Ltype=1; + if(noflg==0 & subflg==0, // 16.02.29 + Dashline(name+Dop); + ); + ); + if(tmp1=="id" % tmp1=="Id", + Ltype=2; // 15.11.09 + if(noflg==0 & subflg==0, // 16.02.29 + Invdashline(name+Dop); + ); + ); + if(tmp1=="do" % tmp1=="Do", + Ltype=3; + if(noflg==0 & subflg==0, // 16.02.29 + Dottedline(name+Dop); + ); + ); + if(tmp1=="dp" % tmp1=="Dp", + Ltype=0; + tmp1=parse(name); + tmp2=""; + forall(tmp1, + tmp2=tmp2+textformat(#_1,5)+","; + ); + tmp2=substring(tmp2,0,length(tmp2)-1); + if(noflg==0, + Drwpt(tmp2+Dop); + ); + ); + if(tmp1=="no" % tmp1=="No", + Ltype=10; + ); + Ltype; +); + +Chunderscore(str):=( + regional(flg,tmp,tmp1,tmp2,tmp3); + if(indexof(str,"]")>0, + tmp1=replace(str,"]",",]"); + , + tmp1=str+","; + ); + flg=0; + tmp2=[]; + tmp3=0; + forall(1..(length(tmp1)), + if(flg==0, + tmp=substring(tmp1,tmp3,length(tmp1)); + tmp=indexof(tmp,"_"); + if(tmp==0, + flg=1; + , + tmp3=tmp3+tmp; + tmp=substring(tmp1,tmp3,length(tmp1)); + tmp=indexof(tmp,",")-1; + tmp=substring(tmp1,tmp3,tmp3+tmp); + tmp2=append(tmp2,tmp); + ); + ); + ); + forall(tmp2, + tmp1=replace(tmp1,"_"+#,"("+#+")"); + ); + if(indexof(str,"]")>0, + tmp1=replace(tmp1,",]",")"); + tmp1=replace(tmp1,"[","list("); + , + tmp1=substring(tmp1,0,length(tmp1)-1); + ); + tmp1; +); + +//AddGraph(pltdata):=AddGraph("-"+pltdata,pltdata,[]); +AddGraph(nm,pltdata):=AddGraph(nm,pltdata,[]); +// if(isstring(Arg2), +// AddGraph(Arg1,Arg2,[]); +// , +// if(MeasureDepth(Arg2)>0, +// Addgraph(Arg1,Arg2,[]); +// , +// Addgraph("-"+Arg1,Arg1,Arg2); +// ); +// ); +//); +AddGraph(nm,pltdata,options):=( +//help:AddGraph("1","imp1"); // 16.04.04 +//help:Addgraph("1",["[pt1]","gr1"],["nodisp"]); + regional(name,Ltype,Noflg,opcindy,pdata,fname,flg, + tmp,tmp1,tmp2,tmp3); + if(substring(nm,0,1)=="-", + name=substring(nm,1,length(nm)); + , + name="ad"+nm; + ); + tmp=Divoptions(options); + Ltype=tmp_1; + Noflg=tmp_2; + opcindy=tmp_9; + if(isstring(pltdata), + pdata=parse(pltdata) + , + if(!islist(pltdata),pdata=[pltdata],pdata=pltdata); + pdata=apply(pdata,parse(#)); + ); // 15.01.22 + pdata=Flattenlist(pdata); + tmp1=[]; + forall(pdata,tmp2, + tmp=apply(tmp2,Pcrd(#)); + tmp1=append(tmp1,tmp); + ); + if(length(tmp1)==1,tmp1=tmp1_1); + pdata=tmp1; + if(Noflg<3, + println("generate addgraph "+name); + tmp=name+"="+textformat(pdata,5); + parse(tmp); + if(isstring(pltdata), // 16.04.04 from + if(indexof(pltdata,"]")>0, + tmp1="list(Listplot("+substring(pltdata,1,length(pltdata)); + tmp1=replace(tmp1,"]",",]"); + , + tmp1="Listplot("+substring(pltdata,0,length(pltdata))+",]"; + ); + flg=0; + tmp2=[]; + tmp3=0; + forall(1..(length(tmp1)), + if(flg==0, + tmp=indexof(substring(tmp1,tmp3,length(tmp1)),"_"); + if(tmp==0, + flg=1; + , + tmp3=tmp3+tmp; + tmp=indexof(substring(tmp1,tmp3,length(tmp1)),",")-1; + tmp=substring(tmp1,tmp3,tmp3+tmp); + tmp2=append(tmp2,tmp); + ); + ); + ); + forall(tmp2, + tmp1=replace(tmp1,"_"+#,"("+#+")"); + ); + tmp1=replace(tmp1,",]",")"); + tmp1=replace(tmp1,",","),Listplot("); + if(indexof(pltdata,"[")>0, + tmp1=tmp1+")"; + ); + GLIST=append(GLIST,name+"="+tmp1); + , + if(MeasureDepth(pdata)==1, + tmp1=name+"=Listplot("+textformat(pdata,5)+")"; + , + tmp1="list("; + forall(1..(length(pdata)), + tmp=name+"p"+textformat(#,5)+"="; + if(length(pdata_#)>1, // 15.01.22 + tmp=tmp+"Listplot("+textformat(pdata_#,5)+")"; + , + tmp=tmp+"Pointdata("+textformat(pdata_#_1,5)+")"; + ); + GLIST=append(GLIST,tmp); + tmp1=tmp1+name+"p"+textformat(#,5)+","; + ); + tmp1=name+"="+substring(tmp1,0,length(tmp1)-1)+")"; + ); + GLIST=append(GLIST,tmp1); + ); + ); // 16.04.04 until + if(Noflg<2, + if(isstring(Ltype), + Ltype=GetLinestyle(text(Noflg)+Ltype,name); + , + if(Noflg==1,Ltype=0); + ); + GCLIST=append(GCLIST,[name,Ltype,opcindy]); + ); +); + +Joincrvs(nm,plotstrL):=Joincrvs(nm,plotstrL,[]); +Joincrvs(nm,plotstrL,options):=( +//help:Joincrvs("1",["sgAB","sgDCB"]); + regional(plotlist,PtL,Eps,QdL,Flg,Ni,Qd,pP,pS,pQ,pR,rMN, + opcindy,tmp,tmp1,tmp2,str,name,Ltype,Noflg); + name="join"+nm; + plotlist=[]; + forall(plotstrL,str, + if(isstring(str), + tmp=parse(str); + tmp=apply(tmp,LLcrd(#)); + , + tmp=str; + ); + plotlist=append(plotlist,tmp); + ); + Eps=10^(-4); + tmp=Divoptions(options); + Ltype=tmp_1; + Noflg=tmp_2; + opcindy=tmp_(length(tmp)); + tmp1=tmp_6; + if(length(tmp1)>0,Eps=tmp1_1); + QdL=[]; + forall(plotlist,Qd, + if(ispoint(Qd_1) % !islist(Qd_1_1), + QdL=concat(QdL,[Qd]); + , + forall(Qd, + QdL=concat(QdL,[#]); + ); + ); + ); + Flg=0; + if(length(QdL)==0, + PtL=[]; + Flg=1; + ); + if(Flg==0, + PtL=QdL_1; + forall(2..(length(QdL)),Ni, + Qd=QdL_Ni; + if(Numptcrv(Qd)>1, + pP=Ptend(PtL); + pS=Ptstart(PtL); + pQ=Ptstart(Qd); + pR=Ptend(Qd); + rMN=min([|pP-pQ|,|pP-pR|,|pS-pQ|,|pS-pR|]); + if(rMN==|pP-pR|, + Qd=reverse(Qd); + , + if(rMN==|pS-pQ|, + PtL=reverse(PtL); + , + if(rMN==|pS-pR|, + PtL=reverse(PtL); + Qd=reverse(Qd); + ); + ); + ); + ); + if(rMN>Eps, + PtL=concat(PtL,Qd); + , + PtL=concat(PtL,Qd_(2..(length(Qd)))); + ); + ); + ); + if(Noflg<3, + println("generate joincurve "+name); + tmp1=apply(PtL,Pcrd(#)); + tmp=name+"="+textformat(tmp1,5); + parse(tmp); + tmp1=""; + forall(plotstrL, + tmp1=tmp1+#+","; + ); + tmp1=substring(tmp1,0,length(tmp1)-1); + GLIST=append(GLIST,name+"=Joincrvs("+tmp1+")"); + ); + if(Noflg<2, + if(isstring(Ltype), + Ltype=GetLinestyle(text(Noflg)+Ltype,name); + , + if(Noflg==1,Ltype=0); + ); + GCLIST=append(GCLIST,[name,Ltype,opcindy]); + ); + PtL; +); + +Partcrv(nm,pA,pB,PkLstr):=Partcrv(nm,pA,pB,PkLstr,[]); +Partcrv(nm,pA,pB,PkLstr,options):=( +//help:Partcrv("1",A,B,"sgABC"); +//help:Partcrv("1",1.3,2.5,"sgABC"); + regional(PkL,Ans,Eps,Npt,Out1,Out2,tmp,tmp1,Flg,nS,nE,PPL,pP, + opcindy,Ta,Tb,name,Ltype,Noflg,DepthFlg); + name="part"+nm; + if(isstring(PkLstr),PkL=parse(PkLstr),PkL=PkLstr); + DepthFlg=0; + if(MeasureDepth(PkL)==2, + PkL=PkL_1; + DepthFlg=1; + ); + PkL=apply(PkL,LLcrd(#)); + tmp=Divoptions(options); + Ltype=tmp_1; + Noflg=tmp_2; + opcindy=tmp_(length(tmp)); + Eps=10^(-3); + Flg=0; + if(isreal(pA), + if(pA>pB+Eps, + Npt=Numptcrv(PkL); + Out1=Partcrv("",pA,Npt,PkLstr,["nodata"]); + Out2=Partcrv("",1,pB,PkLstr,["nodata"]); + tmp=Ptstart(PkL)-Ptend(PkL); + if(|tmp|<Eps, + Ans=Joincrvs("",[Out1,Out2],["nodata"]); + , + Ans=[apply(Out1,Pcrd(#)),apply(Out2,Pcrd(#))]; + ); + Flg=1; + ); + if(Flg==0, + nS=ceil(pA); + nE=floor(pB); + PPL=[]; + if(pA<nS-Eps, + pP=(nS-pA)*PkL_(nS-1)+(1-nS+pA)*PkL_nS; + PPL=[pP]; + ); + PPL=concat(PPL,PkL_(nS..nE)); + if(pB>nE+Eps, + pP=(1-pB+nE)*PkL_nE+(pB-nE)*PkL_(nE+1); + PPL=concat(PPL,[pP]); + ); + Ans=PPL; + Flg=1; + ); + ); + if(Flg==0, + tmp=Nearestpt(LLcrd(Pcrd(pA)),PkL); + Ta=tmp_2; + tmp=Nearestpt(LLcrd(Pcrd(pB)),PkL); // 15.09.12 + Tb=tmp_2; + Ans=Partcrv("",Ta,Tb,PkL,["nodata"] ); + Ans=apply(Ans,Pcrd(#)); + ); + if(Noflg<3, + println("generate partcrv "+name); + tmp1=apply(Ans,Pcrd(#)); + tmp=name+"="+textformat(tmp1,5); + parse(tmp); +// GLIST=append(GLIST, // 16.04.03 + if(DepthFlg==0, + tmp=PkLstr; + , + tmp=PkLstr+"(1)"; + ); + tmp1=name+"=Partcrv("+textformat(Lcrd(pA),5) + +","+textformat(Lcrd(pB),5)+","+tmp+")"; // 16.04.03 + GLIST=append(GLIST,tmp1); + ); + if(Noflg<2, + if(isstring(Ltype), + Ltype=GetLinestyle(text(Noflg)+Ltype,name); + , + if(Noflg==1,Ltype=0); + ); + GCLIST=append(GCLIST,[name,Ltype,opcindy]); + ); + Ans; +); + +Opcrvs(num,Fig):=Opcrvs(num,Fig,["nodisp"]); +Opcrvs(num,Fig,options):=( + //help:Subgraph(2,"grfs"); + regional(name,tmp,tmp1); + name="-"+Fig+text(num); + tmp=Fig+"_"+text(num); + tmp1=parse(tmp); + Listplot(name,tmp1,options); +); + + +Pointdata(nm,list):=Pointdata(nm,list,[]); +Pointdata(nm,listorg,options):=( +//help:Pointdata("1",[2,4],["Size=5"]); +//help:Pointdata("2",[[2,3],[4,1]]); + regional(list,name,nameL,ptlist,opstr,opcindy, + eqL,size,thick,tmp,tmp1,tmp2,tmp3,Ltype,Noflg); + name="pt"+nm; + nameL=name+"L"; + println("generate pointdata "+name); + tmp=Divoptions(options); + Ltype=tmp_1; + Noflg=tmp_2; + opcindy=tmp_(length(tmp)); + opstr=tmp_(length(tmp)-1); + size=""; + eqL=tmp_5; + if(length(eqL)>0, + forall(eqL, + tmp=substring(#,0,1); + if(tmp=="s" % tmp=="S", + tmp=indexof(#,"="); + size=substring(#,tmp,length(#)); + ); + ); + ); + if(isstring(listorg),list=parse(listorg),list=listorg); //17.10.23 + tmp=MeasureDepth(list); + if(tmp>0, // 2015.02.21 + if(tmp==1,ptlist=list,ptlist=list_1); + tmp=apply(ptlist,[textformat(Pcrd(#),5)]); + tmp1=text(tmp); + tmp2=substring(tmp1,1,length(tmp1)-1); + tmp3=tmp1; + , + ptlist=list; + tmp1=textformat(Pcrd(ptlist),5); + tmp2=tmp1; + tmp3="["+tmp1+"]"; + ); + tmp=name+"="+tmp1; + parse(tmp); + tmp=nameL+"="+tmp3; + parse(tmp); + if(Noflg<3, + if(isstring(listorg), //17.10.23 + tmp2=listorg; + , + tmp2="list("; //17.10.10from + forall(list, + if(isstring(#), + tmp=#; + , + if(ispoint(#),tmp=text(#),tmp=textformat(#,6)); + ); + tmp2=tmp2+tmp+","; + ); + tmp2=substring(tmp2,0,length(tmp2)-1)+")"; //17.10.10until + ); + GLIST=append(GLIST,name+"=Pointdata("+tmp2+")"); + ); + if(Noflg<2, + tmp=[nameL,0,opcindy]; + GCLIST=append(GCLIST,tmp); + if(Noflg==0, + if(length(size)>0, + Com2nd("Setpt("+size+")"); + ); + thick=PenThick/PenThickInit; // 16.04.09 from + if(length(size)>0,tmp1=parse(size),tmp1=1); + tmp1=max(tmp1,1)/8; + Setpen(tmp1); // 16.04.09 until + Com2nd("Drwpt(list("+name+")"+opstr+")"); + Setpen(thick); // 16.04.09 + if(length(size)>0, + Com2nd("Setpt("+textformat(TenSize/TenSizeInit,1)+")"); + ); + ); + ); + ptlist; +); + +Listplot(nm,list,options):=( +//help:Listplot([A,B]); +// help:Listplot(["A","B"]); +//help:Listplot("1",[[2,1],[3,3]]); +//help:Listplot(options2=["Msg=yes"]); + regional(name,tmp,tmp1,ptlist,Ltype,opcindy,Noflg,eqL,Msg); + if(substring(nm,0,1)=="-", // 16.01.27 from + name=substring(nm,1,length(nm)); + , + name="sg"+nm; + ); // until + tmp=Divoptions(options); + Ltype=tmp_1; + Noflg=tmp_2; + eqL=tmp_5; + opcindy=tmp_(length(tmp)); + Msg=1; // 15.09.17 + forall(eqL, + tmp=substring(#,0,1); + if(Toupper(tmp)=="M", + tmp=indexof(#,"="); + tmp1=substring(#,tmp,tmp+1); // 16.06.28 + if(Toupper(tmp1)=="N", // 16.06.28 + Msg=0; + ); + ); + ); + if(Noflg<3, + if(Msg==1, + println("generate Listplot "+name); + ); + if(isstring(list_1),tmp=apply(list,parse(#)),tmp=list); // 15.03.24 + ptlist=apply(tmp,Pcrd(#)); + tmp=name+"="+textformat(ptlist,5); + parse(tmp); + GLIST=append(GLIST,name+"=Listplot("+textformat(list,5)+")"); // 15.12.23 + ); + if(Noflg<2, + if(isstring(Ltype), + Ltype=GetLinestyle(text(Noflg)+Ltype,name); + , + if(Noflg==1,Ltype=0); + ); + GCLIST=append(GCLIST,[name,Ltype,opcindy]); + ); + tmp1=apply(list,Lcrd(#)); + tmp1; +); +Listplot(Arg1,Arg2):=( + regional(name,list,options,str); + if(isstring(Arg1), + name=Arg1; + list=Arg2; + Listplot(name,list,[]); + , + list=Arg1; + options=Arg2; + name=""; + forall(list, // 16.10.07from + name=name+#.name; + );// 16.10.07until + Listplot(name,list,options); + ); +); +Listplot(list):=Listplot(list,[]); + +Lineplot(nm,list,options):=( +//help:Lineplot([A,B]); +//help:Lineplot("1",[[2,1],[3,3]]); + regional(name,Out,tmp,tmp1,opstr,opcindy,Mag,Semi, + Vec,pA,pB,Ltype,Noflg); + name="ln"+nm; + Mag=100; + Semi=""; + tmp=Divoptions(options); + Ltype=tmp_1; + Noflg=tmp_2; + opcindy=tmp_(length(tmp)); + opstr=tmp_(length(tmp)-1); + tmp1=tmp_6; + if(length(tmp1)>0,Mag=tmp1_1); + tmp1=tmp_7; + if(length(tmp1)>0,Semi=tmp1_1); + pA=Lcrd(list_1); pB=Lcrd(list_2); + Vec= Mag/dist(pA,pB)*(pB-pA); + if(length(Semi)==0, + Out=[pA-Vec,pA+Vec]; + , + if(Semi=="+", + Out=[pA,pA+Vec]; + , + Out=[pA-Vec,pA]; + ); + ); + if(Noflg<3, + println("generate Lineplot "+name); + tmp1=apply(Out,Pcrd(#)); + tmp=name+"="+textformat(tmp1,5); + parse(tmp); + GLIST=append(GLIST,name+"=Lineplot("+textformat(list,5)+opstr+")"); + ); + if(Noflg<2, + if(isstring(Ltype), + Ltype=GetLinestyle(text(Noflg)+Ltype,name); + , + if(Noflg==1,Ltype=0); + ); + GCLIST=append(GCLIST,[name,Ltype,opcindy]); + ); + Out; +); +Lineplot(Arg1,Arg2):=( + regional(name,list,options,str); + if(isstring(Arg1), + name=Arg1; + list=Arg2; + Lineplot(name,list,[]); + , + list=Arg1; + options=Arg2; + name=""; + forall(list, // 16.10.07from + name=name+#.name; + );// 16.10.07until + Lineplot(name,list,options); + ); +); +Lineplot(list):=Lineplot(list,[]); + +Plotdata(name1,func,variable):=Plotdata(name1,func,variable,[]); +Plotdata(name1,func,variable,options):=( +//help:Plotdata("1","sin(x)","x",["Num=100"]); +//help:Plotdata("2","x^2","x=[-1,1]"); +//help:Plotdata("3","Fout(x)","x",["out"]); + regional(Fn,Va,tmp,tmp1,tmp2,eqL,name,Vname,x1,x2,dx, + PdL,QdL,Num,Ec,Dc,Fun,Exfun,x,Ke,Eps,Pa, + Ltype,Noflg,Inflg,Outflg,opstr,opcindy); + name="gr"+name1; + tmp=Divoptions(options); + Ltype=tmp_1; + Noflg=tmp_2; + Inflg=tmp_3; + Outflg=tmp_4; + opstr=tmp_(length(tmp)-1); + opcindy=tmp_(length(tmp)); + eqL=tmp_5; + Num=50; + Ec=[]; + Exfun=""; + Dc=1000; + forall(eqL, + tmp=indexof(#,"="); + tmp1=substring(#,tmp,length(#)); + opstr=opstr+",'"+#+"'"; + if(substring(#,0,1)=="N", + Num=parse(tmp1); + ); + if(substring(#,0,1)=="E", + if(substring(tmp1,0,1)=="[", + Ec=parse(tmp1); + , + Exfun=tmp1; + ); + ); + if(substring(#,0,1)=="D", + Dc=parse(tmp1); + ); + ); + if(Inflg==0 & Outflg==0, + Eps=10^(-3); + tmp=replace(func,LFmark,""); + tmp=tokenize(variable,"="); + Vname=tmp_1; + if(length(tmp)>1, + tmp=tmp_2; + tmp=parse(tmp); + x1=tmp_1; + x2=tmp_2; + , + x1=XMIN; + x2=XMAX; + ); + // dx=(x2-x2)/Num; + Ec=append(sort(Ec),10000); + Fun=Assign(func,Vname, "xx"); + Exfun=Assign(Exfun,Vname, "xx"); + PdL=[]; + Ke=1; + forall(0..Num, + xx=x1+#*(x2-x1)/Num; // differs from Scilab ( / Num-1) + if(length(Exfun)>0, + tmp=parse(Exfun); + if(abs(tmp)<Eps, + if(length(Pdt)>0, + PdL=concat(PdL,["inf"]); + ); + ); + , + Pa=[]; + if(xx-Ec_Ke<-Eps, + Pa=[xx,parse(Fun)]; + ); + if(abs(xx-Ec_Ke)<=Eps, + if(length(PdL)>0, + if(PdL_(length(PdL))_1!="inf", + Pa=["inf"]; + ); + ); + ); + if(xx-Ec_Ke>Eps, + Pa=[xx,parse(Fun)]; + Ke=Ke+1; + ); + if(length(Pa)>0, + if(Pa_1=="inf", + PdL=concat(PdL,[Pa]); + , + if(length(PdL)==0, + PdL=[Pa]; + , + tmp=PdL_(length(PdL)); + if(tmp_1=="inf", + PdL=concat(PdL,[Pa]); + , + if(dist(tmp,Pa)<Dc, + PdL=concat(PdL,[Pa]); + , + PdL=concat(PdL,[["inf"],Pa]); + ); + ); + ); + ); + ); + ); + ); + tmp1=[]; + tmp2=select(1..(length(PdL)),PdL_#==["inf"]); + tmp=1; + forall(tmp2, + if(#>tmp, + tmp1=concat(tmp1,[PdL_(tmp..(#-1))]) + ); + tmp=#+1; + ); + if(tmp<length(PdL), + tmp1=concat(tmp1,[PdL_(tmp..(length(PdL)))]); + ); + PdL=tmp1; + if(length(PdL)==1, + PdL=PdL_1; + ); + if(Noflg<3, + println("generate Plotdata "+name); + if(MeasureDepth(PdL)==1, + tmp1=apply(PdL,Pcrd(#)); + , + tmp1=[]; + forall(PdL,tmp2, + tmp1=append(tmp1,apply(tmp2,Pcrd(#))); + ); + ); + tmp=name+"="+textformat(tmp1,5); + parse(tmp); + tmp1=replace(func,LFmark,""); + tmp2=replace(variable,LFmark,""); + tmp=name+"=Plotdata('"+tmp1+"','"+tmp2+"'"+opstr+")"; + GLIST=append(GLIST,tmp); + ); + if(Noflg<2, + if(isstring(Ltype), + Ltype=GetLinestyle(text(Noflg)+Ltype,name); + , + if(Noflg==1,Ltype=0); + ); + GCLIST=append(GCLIST,[name,Ltype,opcindy]); + ); + PdL; + , + if(Noflg<2, + if(isstring(Ltype), + Ltype=GetLinestyle(text(Noflg)+Ltype,name); + , + if(Noflg==1,Ltype=0); + ); + if(Inflg==1, + GCLIST=append(GCLIST,[name,Ltype,opcindy]); + ); + ); + ); +); + +Paramplot(name1,funstr,variable):=Paramplot(name1,funstr,variable,[]); +Paramplot(name1,funstr,variable,options):=( +//help:Paramplot("1","[2*cos(t),sin(t)]","t=[0,2*pi]"); + regional(name,Out,tmp,tmp1,tmp2,vname,func,str,Rng,Num, + Ec,Exfun,Dc,eqL,Fntmp,Vatmp,t1,t2,dt,tt,pa,ke, + Ltype,Noflg,Inflg,Outflg,opstr,opcindy); + name="gp"+name1; + Eps=10^(-4); + tmp=Divoptions(options); + Ltype=tmp_1; + Noflg=tmp_2; + Inflg=tmp_3; + Outflg=tmp_4; + opstr=tmp_(length(tmp)-1); + opcindy=tmp_(length(tmp)); + eqL=tmp_5; + Num=50; + Ec=[]; + Exfun=""; + Dc=1000; + forall(eqL, + tmp=indexof(#,"="); + tmp1=substring(#,tmp,length(#)); + opstr=opstr+",'"+#+"'"; + if(substring(#,0,1)=="N", + Num=parse(tmp1); + ); + if(substring(#,0,1)=="E", + if(substring(tmp1,0,1)=="[", + Ec=parse(tmp1); + , + Exfun=tmp1; + ); + ); + if(substring(#,0,1)=="D", + Dc=parse(tmp1); + ); + ); + if(Inflg==0 & Outflg==0, + tmp=indexof(variable,"="); + vname=substring(variable,0,tmp-1); + str=substring(variable,tmp,length(variable)); + Rng=parse(str); + t1=Rng_1; t2=Rng_2; + dt=(t2-t1)/Num;// differs from Scilab ( / Num-1) + func=Assign(funstr,vname,"tt"); + Out=[]; + Ec=append(sort(Ec),10000); + ke=1; + forall(0..Num, + pt=[]; + tt=Rng_1+#*dt; + if(tt-Ec_ke<-Eps, + pa=parse(func); + ); + if(abs(tt-Ec_ke)<=Eps, + if(length(Out)>0, + if(Out_(length(Out))_1!="inf", + pa=["inf"]; + ); + ); + ); + if(tt-Ec_ke>Eps, + pa=parse(func); + ke=ke+1; + ); + if(length(pa)>0, + if(pa_1=="inf", + Out=append(Out,pa); + , + if(length(Out)==0, + Out=[pa]; + , + tmp=Out_(length(Out)); + if(tmp_1=="inf", + Out=append(Out,pa); + , + if(|tmp-pa|<Dc, + Out=append(Out,pa); + , + Out=concat(Out,[["inf"],pa]); + ); + ); + ); + ); + ); + ); + tmp1=[]; + tmp2=select(1..(length(Out)),Out_#==["inf"]); + tmp=1; + forall(tmp2, + if(#>tmp, + tmp1=concat(tmp1,[Out_(tmp..(#-1))]) + ); + tmp=#+1; + ); + if(tmp<length(Out), + tmp1=concat(tmp1,[Out_(tmp..(length(Out)))]); + ); + Out=tmp1; + if(length(Out)==1, + Out=Out_1; + ); + if(Noflg<3, + println("generate Paramplot "+name); + if(MeasureDepth(Out)==1, + tmp1=apply(Out,Pcrd(#)); + , + tmp1=[]; + forall(Out,tmp2, + tmp1=append(tmp1,apply(tmp2,Pcrd(#))); + ); + ); + tmp=name+"="+textformat(tmp1,5); + parse(tmp); + tmp1=replace(funstr,LFmark,""); // 15.11.13 + tmp2=replace(variable,LFmark,""); + tmp=name+"=Paramplot('"+tmp1+"','"+tmp2+"'"+opstr+")"; + GLIST=append(GLIST,tmp); + ); + if(Noflg<2, + if(isstring(Ltype), + Ltype=GetLinestyle(text(Noflg)+Ltype,name); + , + if(Noflg==1,Ltype=0); + ); + GCLIST=append(GCLIST,[name,Ltype,opcindy]); + ); + Out; + , + if(Noflg<2, + if(isstring(Ltype), + Ltype=GetLinestyle(text(Noflg)+Ltype,name); + , + if(Noflg==1,Ltype=0); + ); + if(Inflg==1, + GCLIST=append(GCLIST,[name,Ltype,opcindy]); + ); + ); + ); +); + +Connectseg(Pdata):=( + regional(Eps,PlotL,vL,ctr,qd,ah,ao,flg,jj, + pp,qq,tmp,tmp1,tmp2); + Eps=10^(-4); + PlotL=[Pdata_1]; + vL=2..(length(Pdata)); + ctr=0; + while((length(vL)>0)&(ctr<1000), + ctr=ctr+1; + qd=PlotL_(length(PlotL)); + ah=qd_1; ao=qd_(length(qd)); + flg=0; + forall(1..(length(vL)),jj, + if(flg==0, + tmp1=Pdata_(vL_jj); + pp=tmp1_1; qq=tmp1_(length(tmp1)); + if(Norm(pp-ao)<Eps, + tmp=tmp1_(2..(length(tmp1))); + if(length(tmp)>0, + qd=concat(qd,tmp); + ); + PlotL_(length(PlotL))=qd; + vL=remove(vL,[vL_jj]); + flg=1; + ); + ); + if(flg==0, + if(Norm(qq-ao)<Eps, + tmp=tmp1_(1..(length(tmp1)-1)); + tmp=reverse(tmp); + qd=concat(qd,tmp); + PlotL_(length(PlotL))=qd; + vL=remove(vL,[vL_jj]); + flg=1; + ); + ); + if(flg==0, + if(Norm(pp-ah)<Eps, + tmp=tmp1_(2..(length(tmp1))); + qd=concat(tmp,qd); + PlotL_(length(PlotL))=qd; + vL=remove(vL,[vL_jj]); + flg=1; + ); + ); + if(flg==0, + if(Norm(qq-ah)<Eps, + tmp=tmp1_(1..(length(tmp1)-1)); + tmp=reverse(tmp); + qd=concat(tmp,qd); + PlotL_(length(PlotL))=qd; + vL=remove(vL,[vL_jj]); + flg=1; + ); + ); + ); + if(flg==0, + PlotL=concat(PlotL,Pdata_(vL_1)); + vL=remove(vL,[vL_1]); + ); + ); + PlotL; +); + +Implicitplot(name1,func,xrng,yrng):=Implicitplot(name1,func,xrng,yrng,[]); +Implicitplot(name1,func,xrng,yrng,options):=( +//help:Implicitplot("1","x^2+x*y+y^2=1","x=[-3,3]","y=[-3,3]"); +//help:Implicitplot(options=["Num=[50,50]"]); + regional(name,Fn,varx,vary,rngx,rngy,Mdv,Ndv,tmp,tmp1,tmp2, + Eps,Ltype,Noflg,eqL,opsr,opcindy,dx,dy,out,jj,ii,kk, + yval1,yval2,xval1,xval2,eval11,eva12,eval21,eval22,pL,vL,qL); + name="imp"+name1; + Eps=10^(-4); + tmp=Divoptions(options); + Ltype=tmp_1; + Noflg=tmp_2; + eqL=tmp_5; + opstr=tmp_(length(tmp)-1); + opcindy=tmp_(length(tmp)); + Mdv=50;Ndv=50; + forall(eqL, + tmp=indexof(#,"="); + tmp1=Toupper(substring(#,0,tmp-1)); + tmp2=substring(#,tmp,length(#)); + opstr=opstr+",'"+#+"'"; + if(substring(#,0,1)=="N", + Mdv=parse(tmp2); + if(!islist(Mdv), + Ndv=Mdv; + , + Ndv=Mdv_2; + Mdv=Mdv_1; + ); + ); + ); + tmp=indexof(func,"="); + if(tmp==0, + Fn=func; + , + tmp1=substring(func,0,tmp-1); + tmp2=substring(func,tmp,length(func)); + Fn=tmp1+"-("+tmp2+")"; + ); + tmp=indexof(xrng,"="); + varx=substring(xrng,0,tmp-1); + rngx=parse(substring(xrng,tmp,length(xrng))); + tmp=indexof(yrng,"="); + vary=substring(yrng,0,tmp-1); + rngy=parse(substring(yrng,tmp,length(yrng))); + tmp="Impfun("+varx+","+vary+"):="+Fn; + parse(tmp); + dx=(rngx_2-rngx_1)/Mdv; + dy=(rngy_2-rngy_1)/Ndv; + out=[]; + forall(1..Ndv,jj, + yval1=rngy_1+(jj-1)*dy; + yval2=rngy_1+jj*dy; + xval1=rngx_1; + eval11=Impfun(xval1,yval1); + eval12=Impfun(xval1,yval2); + forall(1..Mdv,ii, + xval2=rngx_1+ii*dx; + eval21=Impfun(xval2,yval1); + eval22=Impfun(xval2,yval2); + pL=[[xval1,yval1]];vL=[eval11]; + pL=append(pL,[xval2,yval1]);vL=append(vL,eval21); + pL=append(pL,[xval2,yval2]);vL=append(vL,eval22); + pL=append(pL,[xval1,yval2]);vL=append(vL,eval12); + pL=append(pL,[xval1,yval1]);vL=append(vL,eval11); + qL=[]; + forall(1..4,kk, + if(abs(vL_kk)<=Eps, + qL=append(qL,pL_kk); + , + if(vL_kk>Eps, + if(vL_(kk+1)< -Eps, + tmp=1/(vL_kk-vL_(kk+1))* + (-vL_(kk+1)*pL_kk+vL_kk*pL_(kk+1)); + qL=append(qL,tmp); + ); + , + if(vL_(kk+1)>Eps, + tmp=1/(-vL_kk+vL_(kk+1))* + (vL_(kk+1)*pL_kk-vL_kk*pL_(kk+1)); + qL=append(qL,tmp); + ); + ); + ); + ); + xval1=xval2; + eval11=eval21; + eval12=eval22; + if(length(qL)==2, + out=append(out,qL); + ); + ); + ); + if(length(out)>0, + out=Connectseg(out); + ); + if(length(out)==1, + out=out_1; + ); + if(Noflg<3, + println("generate Implicitplotdata "+name); + if(MeasureDepth(out)==1, + tmp1=apply(out,Pcrd(#)); + , + tmp1=[]; + forall(out,tmp2, + tmp1=append(tmp1,apply(tmp2,Pcrd(#))); + ); + ); + tmp=name+"="+textformat(tmp1,5); + parse(tmp); + tmp=name+"=Implicitplot('"+func+"','"+xrng+"','"+yrng+"'"+opstr+")"; + GLIST=append(GLIST,tmp); + ); + if(Noflg<2, + if(isstring(Ltype), + Ltype=GetLinestyle(text(Noflg)+Ltype,name); + , + if(Noflg==1,Ltype=0); + ); + GCLIST=append(GCLIST,[name,Ltype,opcindy]); + ); + out; +); + +Circledata(cenrad):=Circledata(cenrad,[]); +Circledata(para1,para2):=( +//help:Circledata([A,B],["Rng=[0,pi/2]"]); +//help:Circledata([A,B,C]); + regional(name,cenrad,options,str,n); + if(isstring(para1), + name=para1; + cenrad=para2; + options=[]; + , + cenrad=para1; + options=para2; + name="";// 16.10.07from + forall(cenrad, + name=name+#.name; + );// 16.10.07until + ); + Circledata(name,cenrad,options); +); +Circledata(nm,cenrad,options):=( + regional(name,Out,Ctr,Ptcir,ra,Num,Rg,opstr,opcindy, + tmp,tmp1,tmp1,Th,Ltype,Noflg,eqL,pA,pB,pC,d1,d2,Eps); + name="cr"+nm; + tmp=Divoptions(options); + Ltype=tmp_1; + Noflg=tmp_2; + opstr=tmp_(length(tmp)-1); + opcindy=tmp_(length(tmp)); + eqL=tmp_5; + Num=50; + Rg=[0,2*pi]; + forall(eqL, + tmp=indexof(#,"="); + tmp1=substring(#,tmp,length(#)); + opstr=opstr+",'"+#+"'"; + if(substring(#,0,1)=="N", + Num=parse(tmp1); + ); + if(substring(#,0,1)=="R", + Rg=parse(tmp1); + ); + ); + if(length(cenrad)==2, + Ctr=Lcrd(cenrad_1); + Ptcir=Lcrd(cenrad_2); + ra=dist(Ctr,Ptcir); + , + Eps=10^(-1); + pA=Lcrd(cenrad_1); + pB=Lcrd(cenrad_2); + pC=Lcrd(cenrad_3); + tmp=pB-pA; + tmp1=(tmp_2,-tmp_1); + tmp=pC-pB; + tmp2=(tmp_2,-tmp_1); + d1=det([tmp1,tmp2]); + d2=det([pC-pA,tmp2]); + if(abs(d1)<Eps & abs(d2)>10*Eps, + println("points are in a line"); + ra=0; + , + Ctr=1/2*(pA+pB)+1/2*d2/d1*tmp1; + ra=|pA-Ctr|; + tmp=name+"center="+Ctr; + parse(tmp); + Defvar(name+"center",Ctr); + ); + ); + if(ra>0, + Out=[]; + forall(0..Num, + Th=Rg_1+#*(Rg_2-Rg_1)/Num; + Out=append(Out,Ctr+ra*[cos(Th),sin(Th)]); + ); + , + Out=Lineplot("1",[pA,pB],["nodata"]); + ); + if(Noflg<3, + println("generate Circledata "+name); + tmp1=apply(Out,Pcrd(#)); + tmp=name+"="+textformat(tmp1,5); + parse(tmp); + if(length(cenrad)==2, + tmp=name+"=Circledata("+cenrad+opstr+")"; + , + if(ra>0, + tmp=name+"=Circledata(["+Ctr+","+cenrad_1+"]"+opstr+")"; + , + tmp=name+"=Lineplot("+cenrad_1+","+cenrad_2+")"; + ); + ); + GLIST=append(GLIST,tmp); + ); + if(Noflg<2, + if(isstring(Ltype), + Ltype=GetLinestyle(text(Noflg)+Ltype,name); + , + if(Noflg==1,Ltype=0); + ); + GCLIST=append(GCLIST,[name,Ltype,opcindy]); + ); + Out; +); + +Framedata():=Framedata(["dr"]);//16.10.29from +Framedata(list):=( + regional(pA,pB); + if(MeasureDepth(list)==0, + pA=LLcrd((SW+NE)/2); // 15.09.17 + pB=LLcrd(NE); + Framedata("win",[pA,pB],list); + , + Framedata(list,[]); + ); +);//16.10.29until +Framedata(Arg1,Arg2):=( + regional(name,list,options,str); + if(isstring(Arg1), + name=Arg1; + list=Arg2; + Framedata(name,list,[]); + , + list=Arg1; + options=Arg2; + name="";// 16.10.07from + forall(list, + name=name+#.name; + );// 16.10.07until + Framedata(name,list,options); + ); +); +Framedata(nm,list,options):=( +//help:Framedata(); +//help:Framedata([C,A]); +//help:Framedata("1",[C,A]); +//help:Framedata("1",[C,dx,dy]); + regional(name,Out,tmp,tmp1,pB,x1,x2,y1,y2,dx,dy, + opcindy,Ltype,Noflg,cent,dx,dy); + name="fr"+nm; + tmp=Divoptions(options); + Ltype=tmp_1; + Noflg=tmp_2; + opcindy=tmp_(length(tmp)); + if(length(list)==2, // 15.05.12 + pA=Lcrd(list_1); pB=Lcrd(list_2); + dx=abs(pB_1-pA_1); dy=abs(pB_2-pA_2); + , + pA=Lcrd(list_1); + dx=list_2; dy=list_3; + ); + x1=pA_1-dx; x2=pA_1+dx; + y1=pA_2-dy; y2=pA_2+dy; + Out=[[x1,y1],[x2,y1],[x2,y2],[x1,y2],[x1,y1]]; + if(Noflg<3, + println("generate Framedata "+name); + tmp1=apply(Out,Pcrd(#)); + tmp=name+"="+textformat(tmp1,5); + parse(tmp); + GLIST=append(GLIST,name+"=Framedata("+pA+","+dx+","+dy+")"); + ); + if(Noflg<2, + if(isstring(Ltype), + Ltype=GetLinestyle(text(Noflg)+Ltype,name); + , + if(Noflg==1,Ltype=0); + ); + GCLIST=append(GCLIST,[name,Ltype,opcindy]); + ); + Out; +); +Framedata(nm,cent,dx,dy):=Framedata(nm,cent,dx,dy,[]); +Framedata(nm,cent,dx,dy,options):=( + regional(name,Out,tmp,tmp1,x1,y1,x2,y2,Ltype,opcindy,Noflg); + name="fr"+nm; + tmp=Divoptions(options); + Ltype=tmp_1; + Noflg=tmp_2; + opcindy=tmp_(length(tmp)); + x1=cent.x-dx; x2=cent.x+dx; + y1=cent.y-dy; y2=cent.y+dy; + Out=[[x1,y1],[x2,y1],[x2,y2],[x1,y2],[x1,y1]]; + if(Noflg<3, + println("generate Framedata "+name); + tmp1=apply(Out,Pcrd(#)); + tmp=name+"="+textformat(tmp1,5); + parse(tmp); + GLIST=append(GLIST,name+"=Framedata("+cent.xy+","+dx+","+dy+")"); + ); + if(Noflg<2, + if(isstring(Ltype), + Ltype=GetLinestyle(text(Noflg)+Ltype,name); + , + if(Noflg==1,Ltype=0); + ); + GCLIST=append(GCLIST,[name,Ltype,opcindy]); + ); + Out; +); + +Framedata2(nm,list):=Framedata2(nm,list,[]); +Framedata2(nm,list,options):=( +//help:Framedata2("1",[A,B]); + regional(tmp,tmp1,pC,pB); + pC=(Lcrd(list_1)+Lcrd(list_2))/2; + pB=Lcrd(list_2); + Framedata(nm,[pC,pB],options); +); + +Ovaldata(nm,Pdata):=Ovaldata(nm,Pdata,[]); +Ovaldata(nm,Pdata,options):=( +//help:Ovaldata("1",[A,B]); +//help:Ovaldata(optios=[size]); + regional(name,Graph,Ctr,Dx,Dy,Rc,Out,Point,Graph, + opstr,opcindy,tmp,tmp1,tmp2,tmp3,Ltype,Noflg); + name="ov"+nm; + tmp=Divoptions(options); + Ltype=tmp_1; + Noflg=tmp_2; + opcindy=tmp_(length(tmp)); + opstr=tmp_(length(tmp)-1); + Rc=0.2; + tmp1=tmp_6; + if(length(tmp1)>0,Rc=tmp1_1*Rc); +// if(length(tmp1)>0,Rc=tmp1_1); //15.11.15 + Ctr=Lcrd(Pdata_1); + if(ispoint(Pdata_2) % islist(Pdata_2), + tmp1=Lcrd(Pdata_2); + Dx=abs(tmp1_1-Ctr_1); + Dy=abs(tmp1_2-Ctr_2); + , + Dx=Pdata_2; + Dy=Pdata_3; + ); + Point=Ctr+[Dx-Rc,Dy-Rc]; + tmp1=Circledata("1",[Point,Point+[Rc,0]], + ["Rng=[0,pi/2]","Num=10","nodata"]); + tmp2=Listplot("1",[Ctr+[Dx-Rc,Dy],Ctr+[0,Dy]], + ["nodata"]); + tmp3=Listplot("2",[Ctr+[Dx,0],Ctr+[Dx,Dy-Rc]], + ["nodata"]); + Graph=Joincrvs("1",[tmp3,tmp1,tmp2],["nodata"]); + tmp1=Reflectdata("1",[Graph],[Ctr,Ctr+[0,1]],["nodata"]); + Graph=Joincrvs("1",[Graph,tmp1],["nodata"]); + tmp2=Reflectdata("2",[Graph],[Ctr,Ctr+[1,0]], + ["nodata"]); + Graph=Joincrvs("2",[Graph,tmp2],["nodata"]); + if(Noflg<3, + println("generate Ovaldata "+name); + tmp1=apply(Graph,Pcrd(#)); + tmp=name+"="+textformat(tmp1,5); + parse(tmp); + GLIST=append(GLIST, + name+"=Ovaldata("+Ctr+","+Dx+","+Dy+opstr+")");//16.01.30 + ); + if(Noflg<2, + if(isstring(Ltype), + Ltype=GetLinestyle(text(Noflg)+Ltype,name); + , + if(Noflg==1,Ltype=0); + ); + GCLIST=append(GCLIST,[name,Ltype,opcindy]); + tmp1=apply(Graph,Pcrd(#)); + tmp=name+"="+textformat(tmp1,5); + parse(tmp); + tmp=textformat(Ctr,5)+","+textformat(Dx,5)+","+textformat(Dy,5); + ); + Graph; +); + +Segmark(nm,ptlist):=Segmark(nm,ptlist,[]); +Segmark(nm,ptlist,options):=Drawsegmark(nm,ptlist,options); +Drawsegmark(nm,ptlist):=Drawsegmark(nm,ptlist,[]); +Drawsegmark(nm,ptlist,options):=( +//help:Segmark("1",[A,B]); +//help:Segmark(options=["Type=1","Width=1","Size=1"]); + regional(name,pA,pB,wid,mid,size,tp,dir,nor,eqL, + tmp,tmp1,tmp2); + name="mrk"+nm; + pA=ptlist_1; + pB=ptlist_2; + size=0.15; + wid=0.05; + tp=1; + tmp1=Divoptions(options); + eqL=tmp1_5; + forall(eqL, + tmp=indexof(#,"="); + tmp1=substring(#,tmp,length(#)); + tmp1=parse(tmp1); + tmp=substring(#,0,1); + if(tmp=="S" % tmp=="s", + size=size*tmp1; + ); + if(tmp=="W" % tmp=="w", + wid=wid*tmp1; + ); + if(tmp=="T" % tmp=="t", + tp=tmp1; + ); + ); + mid=(pA+pB)/2; + dir=(pB-pA)/|pB-pA|; + nor=[-dir_2,dir_1]; +// nor=nor/|nor|; + if(tp==1, + tmp1=mid+size*nor; + tmp2=mid-size*nor; + Listplot(name,[tmp1,tmp2]); + ); + if(tp==2, + tmp1=mid+wid*dir+size*nor; + tmp2=mid+wid*dir-size*nor; + Listplot(name+"r",[tmp1,tmp2]); + tmp1=mid-wid*dir+size*nor; + tmp2=mid-wid*dir-size*nor; + Listplot(name+"l",[tmp1,tmp2]); + ); + if(tp==3, + tmp1=mid; + tmp2=mid+size*dir; + Circledata(name,[tmp1,tmp2]); + ); + if(tp==4, + tmp=mid+size*2/sqrt(3)*nor; + tmp1=mid+size*dir-size/sqrt(3)*nor; + tmp2=mid-size*dir-size/sqrt(3)*nor; + Listplot(name,[tmp,tmp1,tmp2,tmp]); + ); +); + +Parabolaplot(nm,ptlist):=Parabolaplot(nm,ptlist,"[-5,5]",[]); +Parabolaplot(nm,ptlist,Arg):=( + regional(rng,options); + if(isstring(Arg), + rng=Arg; + options=[]; + , + rng="[-5,5]"; + options=Arg; + ); + Parabolaplot(nm,ptlist,rng,options); +); +Parabolaplot(nm,ptlist,rng,options):=( +//help:Parabolaplot("1",[A,B,C]): +//help:Parabolaplot("1",[A,B,C],"[-5,5]"); + regional(pA,pB,pC,angle,tmp,tmp1,tmp2); + tmp1=Lcrd(ptlist_1); + tmp2=Lcrd(ptlist_3); + pB=Lcrd(ptlist_2); + tmp=(tmp2-pB)/|tmp2-pB|; + if(tmp_2>=0, + angle=arccos(tmp_1); + , + if(tmp_1>=0, + angle=arcsin(tmp_2); + , + angle=-arccos(tmp_1); + ); + ); + pA=Rotatepoint(tmp1,-angle,pB); + pC=Rotatepoint(tmp2,-angle,pB); + tmp1=1/(2*(pA_2-pB_2)); + tmp2=1/2*(pA_2+pB_2); + tmp="("+format(tmp1,5)+")*(x-("+format(pA_1,5)+"))^2"; + tmp=tmp+"+("+format(tmp2,5)+")"; + tmp1=parse(rng); + tmp1=[pA_1-(tmp1_2-tmp1_1)/2,pA_1+(tmp1_2-tmp1_1)/2]; + tmp2="x="+textformat(tmp1,5); + Plotdata(nm+"para",tmp,tmp2,append(options,"nodisp")); + Rotatedata(nm+"para","gr"+nm+"para",angle,append(options,pB)); +); + +Ellipseplot(nm,ptlist):=Ellipseplot(nm,ptlist,"[0,2*pi]",[]); +Ellipseplot(nm,ptlist,Arg):=( + regional(rng,options); + if(isstring(Arg), + rng=Arg; + options=[]; + , + rng="[0,2*pi]"; + options=Arg; + ); + Ellipseplot(nm,ptlist,rng,options); +); +Ellipseplot(nm,ptlist,rng,options):=( +//help:Ellipseplot("1",[A,B,3]); +//help:Ellipseplot("1",[A,B,C],"[0,pi]",[options]); + regional(pA,pB,d,angle,f,a,b,pM,tmp,tmp1,tmp2); + pA=Lcrd(ptlist_1); + tmp1=Lcrd(ptlist_2); + if(ispoint(ptlist_3), + tmp2=Lcrd(ptlist_3); + d=|tmp2-pA|+|tmp2-tmp1|; + , + d=ptlist_3; + ); + tmp=(tmp1-pA)/|tmp1-pA|; + if(tmp_2>=0, + angle=arccos(tmp_1); + , + if(tmp_1>=0, + angle=arcsin(tmp_2); + , + angle=-arccos(tmp_1); + ); + ); + pB=Rotatepoint(tmp1,-angle,pA); + f=|pB_1-pA_1|/2; + a=d/2; + b=sqrt(d^2/4-f^2); + pM=(pA+pB)/2; + tmp="["+format(pM_1,5)+","+format(pM_2,5)+"]"; + tmp=tmp+"+["+format(a,5)+"*cos(t),"+format(b,5)+"*sin(t)]"; + Paramplot(nm+"elp",tmp,"t="+rng,append(options,"nodisp")); + Rotatedata(nm+"elp","gp"+nm+"elp",angle,append(options,pA)); +); + +Hyperbolaplot(nm,ptlist):=Hyperbolaplot(nm,ptlist,"[-5/2,5/2]",[]); +Hyperbolaplot(nm,ptlist,Arg):=( + regional(rng,options); + if(isstring(Arg), + rng=Arg; + options=[]; + , + rng="[-5/2,5/2]"; + options=Arg; + ); + Hyperbolaplot(nm,ptlist,rng,options); +); +Hyperbolaplot(nm,ptlist,rng,optionsorg):=( +//help:Hyperbolaplot("1",[A,B,C],["Num=200"]): +//help:Hyperbolaplot("1",[A,B,C],"[-5,5]",["Asy=do"]); + regional(pA,pB,d,angle,f,a,b,pM,eqL,options,opasy,tmp,tmp1,tmp2); + tmp=Divoptions(optionsorg); + eqL=tmp_5; + options=optionsorg; + opasy=[]; + forall(eqL, + if(Toupper(substring(#,0,1))=="A", + tmp=indexof(#,"="); + opasy=[substring(#,tmp,length(#))]; + options=remove(options,[#]); + ); + ); + pA=Lcrd(ptlist_1); + tmp1=Lcrd(ptlist_2); + if(ispoint(ptlist_3), + tmp2=Lcrd(ptlist_3); + d=abs(|tmp2-pA|-|tmp2-tmp1|); + , + d=ptlist_3; + ); + tmp=(tmp1-pA)/|tmp1-pA|; + if(tmp_2>=0, + angle=arccos(tmp_1); + , + if(tmp_1>=0, + angle=arcsin(tmp_2); + , + angle=-arccos(tmp_1); + ); + ); + pB=Rotatepoint(tmp1,-angle,pA); + f=|pB_1-pA_1|/2; + a=d/2; + b=sqrt(f^2-d^2/4); + pM=(pA+pB)/2; + tmp="["+format(pM_1,5)+"+"+format(a,5)+"*(exp(t)+exp(-t))/2,"; + tmp=tmp+format(pM_2,5)+"+"+format(b,5)+"*(exp(t)-exp(-t))/2]"; + Paramplot(nm+"hyp1",tmp,"t="+rng,append(options,"nodisp")); + tmp="["+format(pM_1,5)+"-"+format(a,5)+"*(exp(t)+exp(-t))/2,"; + tmp=tmp+format(pM_2,5)+"+"+format(b,5)+"*(exp(t)-exp(-t))/2]"; + Paramplot(nm+"hyp2",tmp,"t="+rng,append(options,"nodisp")); + Rotatedata(nm+"hyp1","gp"+nm+"hyp1",angle,append(options,pA));//180408 + Rotatedata(nm+"hyp2","gp"+nm+"hyp2",angle,append(options,pA));//180408 + if(length(opasy)>0, + Lineplot(nm+"asy1",[pM+[a,b],pM+[-a,-b]],["nodisp"]); + Lineplot(nm+"asy2",[pM+[-a,b],pM+[a,-b]],["nodisp"]); + Rotatedata(nm+"asy1","ln"+nm+"asy1",angle,append(opasy,pA));//180408 + Rotatedata(nm+"asy2","ln"+nm+"asy2",angle,append(opasy,pA));//180408 + ); +); + +Polygonplot(nm,ptlist,number):=Polygonplot(nm,ptlist,number,[]); +Polygonplot(nm,ptlist,number,options):=( +//help:Polygonplot("1",[A,B],12); + regional(rr,pA,pB,ptL,angle,tmp,tmp1,tmp2); + pA=Lcrd(ptlist_1); + pB=Lcrd(ptlist_2); + rr=|pB-pA|; + tmp=(pB-pA)/rr; + if(tmp_2>=0, + angle=arccos(tmp_1); + , + if(tmp_1>=0, + angle=arcsin(tmp_2); + , + angle=-arccos(tmp_1); + ); + ); + ptL=[]; + forall(0..number, + tmp=angle+#*2*pi/number; + tmp1=pA+rr*[cos(tmp),sin(tmp)]; + if(#>0 & #<number, + Putpoint((ptlist_2).name+text(#),tmp1);//16.10.07 + //Pointdata(nm,ptL); + ); + tmp2=tmp1; + ptL=append(ptL,tmp1); + ); + Listplot(nm+"ply",ptL,options); +); + +Putintersect(nm,pdata1,pdata2):=( +//help:Putintersect("Q","gr1","gr2"); + regional(pd1,pd2,tmp); + if(isstring(pdata1),pd1=parse(pdata1),pd1=pdata1); + if(isstring(pdata2),pd2=parse(pdata2),pd2=pdata2); + tmp=Intersectcrvs(pd1,pd2); + if(length(tmp)==1, + Putpoint(nm,tmp_1); + , + if(length(tmp)==0, + err("No intersect point"); + , + err("Multiple intersect points"); + println(tmp); + err("Choose point number"); + ); + ); +); +Putintersect(nm,pdata1,pdata2,ptno):=( + regional(pd1,pd2,tmp); + if(isstring(pdata1),pd1=parse(pdata1),pd1=pdata1); + if(isstring(pdata2),pd2=parse(pdata2),pd2=pdata2); + tmp=Intersectcrvs(pd1,pd2); + if(length(tmp)>0, + Putpoint(nm,tmp_ptno); + , + err("No intersect point"); + ); +); + +Arrowheaddata(point,direction):=Arrowheaddata(point,direction,[]); +Arrowheaddata(point,direction,options):=( +//help:Arrowheaddata(A,B); + regional(list,Ookisa,Hiraki,Futosa,Houkou,Str,Flg,tmp,Ev,Nv,pA,pB, + pP,rF,gG,Flg,Nj,Eps,tmp1,scx,scy); + Eps=10^(-3); + pP=point; + Ookisa=0.2*YaSize; + Hiraki=YaAngle; + Futosa=0; + Str=YaStyle; + tmp=Divoptions(options); + tmp1=tmp_6; + if(length(tmp1)>0,Ookisa=Ookisa*tmp1_1); + if(length(tmp1)>1, + tmp=tmp1_2; + if(tmp<5, + Hiraki=Hiraki*tmp; + , + Hiraki=tmp; + ); + ); + Flg=0; + Hiraki=Hiraki*pi/180; + if(isstring(direction),Houkou=parse(direction),Houkou=direction); + if(MeasureDepth(Houkou)==2,Houkou=Houkou_1); + if(islist(Houkou_1), +// pP=Lcrd(pP); +// pP=Doscaling(pP); +// Houkou=Dosscaling(Houkou); + pP=Pcrd(pP); + scy=SCALEY; + SCALEY=1; + tmp=Nearestpt(pP,Houkou); + pA=tmp_1; + rF=floor(tmp_2); + if(rF==1, + if(|Ptend(Houkou)-Ptstart(Houkou)|<Eps, + rF=Numptcrv(Houkou); + ); + ); + gG=apply(0..10,pP+Ookisa*cos(Hiraki)*[cos(2*pi/10*#),sin(2*pi/10*#)]); + Flg=0; + forall(1..rF,Nj, + if(Flg==0, + pB=Ptcrv(rF+1-Nj,Houkou); + tmp=IntersectcrvsPp([pA,pB],gG); + if(length(tmp)>0, + Houkou=pP-tmp_1_1; + Flg=1; + ); + pA=pB; + ); + ); + SCALEY=scy; + if(Flg==0, + println("Arrowhead may be too large (no intersect)"); + Flg=2; + ); + if(Flg==1, + Houkou=Unscaling(Houkou); + pP=Unscaling(pP); + ); + ); + if(Flg<2, +// pP=Doscaling(pP); +// Houkou=Doscaling(Houkou); + pP=Pcrd(pP); + if(!ispoint(point), + Houkou=Pcrd(Houkou); + ); +// if(MeasureDepth(Houkou)==0,Houkou=Pcrd(Houkou)); + Ev=-1/|Houkou|*Houkou; + Ev=Lcrd(Ev); + Nv=[-Ev_2, Ev_1]; + if(indexof(Str,"c")>0, + pP=pP-0.5*Ookisa*cos(Hiraki)*Ev; + ); + if(indexof(Str,"b")>0, + pP=pP-Ookisa*cos(Hiraki)*Ev; + ); + pA=pP+Ookisa*cos(Hiraki)*Ev+Ookisa*sin(Hiraki)*Nv; + pB=pP+Ookisa*cos(Hiraki)*Ev-Ookisa*sin(Hiraki)*Nv; + list=[pA,pP,pB]; + list=apply(list,LLcrd(#)); +// Out=Unscaling(Out); + list; + ); +); + +Arrowhead(point,Houkou):=Arrowhead(point,Houkou,[]); +Arrowhead(point,Houkou,options):=( +//help:Arrowhead(B,B-A,[1.5,30]); +//help:Arrowhead(A,"gr1"); + // global ArrowheadNumber + regional(name,Ltype,Noflg,reL,opstr,opcindy,ptstr,hostr,tmp,tmp1,list); + name="arh"+text(ArrowheadNumber); + ArrowheadNumber=ArrowheadNumber+1; + ptstr=textformat(point,5); + if(isstring(Houkou), // 15.01.11 + tmp=parse(Houkou); + if(MeasureDepth(tmp)<2, + hostr=Houkou; + , + hostr=Houkou+"(1)"; + ); + , + if(ispoint(point), + hostr=textformat(LLcrd(Houkou),5); + , + hostr=textformat(Houkou,5); + ); + ); + tmp=Divoptions(options); + Ltype=tmp_1; + Noflg=tmp_2; + reL=tmp_6; + opstr=tmp_(length(tmp)-1); + opcindy=tmp_(length(tmp)); + list=Arrowheaddata(point,Houkou,options); + if(Noflg<3, +// println("generate Arrowhead "+name); + tmp1=apply(list,Pcrd(#)); + tmp=name+"="+textformat(tmp1,5); + parse(tmp); +// GLIST=append(GLIST,name+"=Listplot("+list+")"); + ); + if(Noflg<2, + if(isstring(Ltype), + Ltype=GetLinestyle(text(1)+Ltype,name); + , +// if(Noflg==1,Ltype=0); + Ltype=0; + ); + GCLIST=append(GCLIST,[name,Ltype,opcindy]); + ); + if(Noflg==0, + if(length(reL)<3, // 16.04.09 from + forall(1..(2-length(reL)), + opstr=opstr+",1"; + ); + tmp=PenThick/PenThickInit; + opstr=opstr+","+text(tmp); + ); // 16.04.09 until + Com2nd("Arrowhead("+ptstr+","+hostr+opstr+")"); + ); +); + +Arrowdata(ptlist):=Arrowdata(ptlist,[]); +Arrowdata(Arg1,Arg2):=( + regional(tmp,nm,ptlist,flg,pA,pB,options); + flg=0; + if(isstring(Arg1), + nm=Arg1; + ptlist=Arg2; + Arrowdata(nm,ptlist,[]); + flg=1; + ); + if(flg==0, + tmp=MeasureDepth(Arg1); + if(tmp==0, + pA=Arg1; + pB=Arg2; + Arrowdata(pA,pB,[]); + , + ptlist=Arg1; + options=Arg2; + nm=text(ArrowlineNumber); + ArrowlineNumber=ArrowlineNumber+1; + Arrowdata(nm,ptlist,options); + ); + ); +); +Arrowdata(Arg1,Arg2,options):=( +//help:Arrowdata([A,B],[2,10]); +//help:Arrowdata("1",[p1,p2]); + regional(Retflg,nm,ptlist,name,opstr,opcindy,realL,strL,size, + flg,Ltype,Noflg,lineflg,tmp,tmp1,tmp2,pA,pB,segpos); + Retflg=0; + Noflg=0; + Ltype=0; + if(!isstring(Arg1), + pA=Arg1; + pB=Arg2; + Arrowdata(pA,pB,options,"old"); + Retflg=1; + ptlist=[pA,pB]; + ); + if(Retflg==0, + nm=Arg1; + ptlist=Arg2; + name="ar"+nm; + tmp=Divoptions(options); + Ltype=tmp_1; + Noflg=tmp_2; + realL=tmp_6; + strL=tmp_7; + opstr=tmp_(length(tmp)-1); + opcindy=tmp_(length(tmp)); + size=1; // 15.06.11 + if(length(realL)>0, + size=realL_1; + ); + tmp2=select(strL,indexof(#,"l")>0); // 16.04.09 + if(length(tmp2)>0,lineflg=1,lineflg=0); // 16.04.09 + segpos=1; + tmp1=tmp_5; + if(length(tmp1)>2, + segpos=tmp1_3; + ); + if(Noflg<3, +// println("generate Arrowdata "+name); + tmp1=apply(ptlist,Pcrd(#)); + tmp=name+"="+textformat(tmp1,5); + parse(tmp); + tmp1=Pcrd(ptlist_1);//16.10.20 + tmp2=Pcrd(ptlist_2);//16.10.20 + if(lineflg==0, // 16.04.09 from + tmp=tmp2-0.2*size/2*(tmp2-tmp1)/|tmp2-tmp1|; // 15.06.11 + , + tmp=tmp2; + ); // 16.04.09 until + tmp=[LLcrd(tmp1),LLcrd(tmp)];//16.10.20 + GLIST=append(GLIST,name+"=Listplot("+textformat(tmp,5)+")"); + ); + if(Noflg<2, + if(isstring(Ltype), + Ltype=GetLinestyle(text(Noflg)+Ltype,name); + , + if(Noflg==1,Ltype=0); + ); + tmp=textformat(ptlist,5); + tmp=substring(tmp,1,length(tmp)-1); + tmp1=indexof(tmp,"],["); + if(tmp1>0, + pA=substring(tmp,0,tmp1); + pB=substring(tmp,tmp1+1,length(tmp)); + , + tmp1=indexof(tmp,","); + pA=substring(tmp,0,tmp1-1); + pB=substring(tmp,tmp1,length(tmp)); + ); + tmp1="Lcrd("+pA+")+" + +textformat(segpos,5)+"*(Lcrd("+pB+")-"+"Lcrd("+pA+"))"; + tmp1=parse(tmp1); + tmp2="Lcrd("+pB+")-Lcrd("+pA+")"; + tmp2=parse(tmp2); + Arrowhead(tmp1,tmp2,options); + GCLIST=append(GCLIST,[name,Ltype,opcindy]); + ); + ); + ptlist; +); +Arrowdata(pA,pB,options,str):=( + regional(ptA,ptB,opstr,Astr,Bstr,name,tmp,opcindy); + Astr=textformat(pA,5); + Bstr=textformat(pB,5); + name="ar"+pA.name+pB.name; + println("generate Arrow "+name); + opstr=""; + opcindy=""; + forall(options, + if(isstring(#), + if(indexof(#,"->")>0, + opcindy=opcindy+","+#; + , + tmp="'"+#+"'"; + ); + , + tmp=text(#); + ); + opstr=opstr+","+tmp; + ); + ptA=Lcrd(pA); + ptB=Lcrd(pB); + Arrowheaddata(ptB,ptB-ptA,options); + tmp="connect("+textformat([ptA,ptB],5) + +",linecolor->"+text(KCOLOR)+opcindy+");"; + parse(tmp); // 14.11.17 + Com2nd("Arrowline("+Astr+","+Bstr+opstr+")"); // 14.10.04 +); + +Anglemark(plist):=Anglemark(plist,[]); +Anglemark(Arg1,Arg2):=( // 2015.04.28 from + regional(nm,plist,options,tmp); + if(isstring(Arg1), + nm=Arg1; + plist=Arg2; + Anglemark(nm,plist,[]); + , + plist=Arg1; + options=Arg2; + tmp=textformat(plist,5); + tmp=replace(tmp,",",""); + nm=substring(tmp,1,length(tmp)-1); + Anglemark(nm,plist,options); + ); +); // until +Anglemark(nm,plist,options):=( +//help:Anglemark([A,B,C],["E=\theta",2]); +//help:Anglemark("1",[A,B,C],["E=1.2,\theta",2]); +//help:Anglemark(options=["E/L=(sep,)letter",size]); + regional(name,Out,pB,pA,pC,Ctr,ra,sab,sac,ratio,opstr,Bname,Bpos, + Brat,tmp,tmp1,tmp2,Num,opcindy,Ltype,eqL,realL,Rg,Th,Noflg); + name="ag"+nm; + Bpos="md"+name; + ra=0.5; + tmp=Divoptions(options); + Ltype=tmp_1; + Noflg=tmp_2; + opstr=tmp_(length(tmp)-1); + opcindy=tmp_(length(tmp)); + eqL=tmp_5; + realL=tmp_6; + Bname=""; + Brat=1.5; + Num=20; + if(length(realL)>0, + ra=realL_1*ra; + opstr=opstr+","+text(realL_1); + ); + forall(eqL, + if(substring(#,0,1)=="L",Bname="Letter("); + if(substring(#,0,1)=="E",Bname="Expr("); + Bname=Bname+Bpos+","+Dq+"c"+Dq+","+Dq;//16.10.29 + tmp=substring(#,indexof(#,"="),length(#)); + tmp1=indexof(tmp,","); + Bname=Bname+substring(tmp,tmp1,length(tmp))+Dq+")"; + if(tmp1>0, + Brat=parse(substring(tmp,0,tmp1-1)); + ); + ); + pB=Lcrd(plist_1); pA=Lcrd(plist_2); pC=Lcrd(plist_3); + Ctr=Lcrd(pA); + sab=pB-pA; + sac=pC-pA; + Rg=[arctan2(sab)+0,arctan2(sac)+0]; + if(Rg_2<Rg_1,Rg_2=Rg_2+2*pi); + Out=[]; + if(ra>min(|sab|,|sac|), // 16.12.29 + println(" segments too short"); + , + forall(0..Num, + Th=Rg_1+#*(Rg_2-Rg_1)/Num; + Out=append(Out,Ctr+ra*[cos(Th),sin(Th)]); + ); + Th=(Rg_1+Rg_2)/2; //16.10.31from(moved) + tmp1=Ctr+Brat*ra*[cos(Th),sin(Th)]; + tmp="Defvar("+Dq+Bpos+"="; + tmp=tmp+textformat(tmp1,5)+Dq+");"; + parse(tmp);//16.10.31until(moved) + if(length(Bname)>0, + parse(Bname); + ); + if(Noflg<3, + println("generate anglemark "+name+" and "+Bpos); + tmp1=apply(Out,Pcrd(#)); + tmp=name+"="+textformat(tmp1,5); + parse(tmp); + tmp=textformat(plist,5); + tmp1=substring(tmp,1,length(tmp)-1); + tmp=name+"=Anglemark("+tmp1+opstr+")"; + GLIST=append(GLIST,tmp); + ); + if(Noflg<2, + if(isstring(Ltype), + Ltype=GetLinestyle(text(Noflg)+Ltype,name); + , + if(Noflg==1,Ltype=0); + ); + GCLIST=append(GCLIST,[name,Ltype,opcindy]); + ); + ); + Out; +); + +Paramark(plist):=Paramark(plist,[]); +Paramark(Arg1,Arg2):=( // 17.03.27 from + regional(nm,plist,options,tmp); + if(isstring(Arg1), + nm=Arg1; + plist=Arg2; + Paramark(nm,plist,[]); + , + plist=Arg1; + options=Arg2; + tmp=textformat(plist,5); + tmp=replace(tmp,",",""); + nm=substring(tmp,1,length(tmp)-1); + Paramark(nm,plist,options); + ); +);// until +Paramark(nm,plist,options):=( +//help:Paramark([A,B,C],["E=\theta"]); +//help:Paramark("1",[p1,p2,p3],["E=\theta"]); + regional(name,Out,pB,pA,pC,ra,sab,sac,ratio,opstr,Bname,Bpos, + Brat,tmp,tmp1,tmp2,Ltype,Noflg,eqL,realL,opcindy); + name="pm"+nm; + tmp=Divoptions(options); + Ltype=tmp_1; + Noflg=tmp_2; + opstr=tmp_(length(tmp)-1); + opcindy=tmp_(length(tmp)); + eqL=tmp_5; + realL=tmp_6; + ra=0.5; + Bname=""; + Brat=1.2; + if(length(realL)>0, + tmp=realL_1; + ra=tmp*ra; + opstr=opstr+","+text(tmp); + ); + forall(eqL, + if(substring(#,0,1)=="L",Bname="Letter("); + if(substring(#,0,1)=="E",Bname="Expr("); + Bpos="md"+name; + Bname=Bname+Dq+Bpos+Dq+","+Dq+"c"+Dq+","+Dq; + tmp=substring(#,indexof(#,"="),length(#)); + tmp1=indexof(tmp,","); + Bname=Bname+substring(tmp,tmp1,length(tmp))+Dq+")"; + if(tmp1>0, + Brat=parse(substring(tmp,0,tmp1-1)); + ); + ); + pB=Lcrd(plist_1); pA=Lcrd(plist_2); pC=Lcrd(plist_3); + Ctr=Lcrd(pA); + Out=[]; + Out=append(Out,pA+ra*(pB-pA)/|pB-pA|); + Out=append(Out,pA+ra*(pB-pA)/|pB-pA|+ra*(pC-pA)/|pC-pA|); + Out=append(Out,pA+ra*(pC-pA)/|pC-pA|); + if(length(Bname)>0, + tmp1=pA+Brat*ra*(pB-pA)/|pB-pA|+Brat*ra*(pC-pA)/|pC-pA|; + tmp="Defvar("+Dq+Bpos+"="+textformat(tmp1,5)+Dq+");"; + parse(tmp); + parse(Bname); + ); + if(Noflg<3, + println("generate paramark "+name); + tmp1=apply(Out,Pcrd(#)); + tmp=name+"="+textformat(tmp1,5); + parse(tmp); + tmp1=substring(textformat(plist,5),1,length(textformat(plist,5))-1); + tmp=name+"=Paramark("+tmp1+opstr+")"; + GLIST=append(GLIST,tmp); + ); + if(Noflg<2, + if(isstring(Ltype), + Ltype=GetLinestyle(text(Noflg)+Ltype,name); + , + if(Noflg==1,Ltype=0); + ); + GCLIST=append(GCLIST,[name,Ltype,opcindy]); + ); + Out; +); + +MakeBowdata(pA,pB,Hgt):=( + regional(angle,pB2,pH2,pC2,pC,tmp,Th1,Th2,ra,dMA); + angle=arctan2(pB-pA)+0; + pB2=Rotatepoint(pB,-angle,pA); + tmp=Lcrd(pA); + pH2=[(tmp_1+pB2_1)/2,tmp_2-Hgt]; + dMA=|tmp-pB2|/2; + ra=(dMA^2+Hgt^2)/(2*Hgt); + pC2=[pH2_1,pB2_2+(ra-Hgt)]; + pC=Rotatepoint(pC2,angle,pA); + Th1=arctan2(pA-pC2)+angle; + Th2=arctan2(pB2-pC2)+angle; + [pC,ra,Th1,Th2]; +); + +Bowdata(plist):=Bowdata(plist,[]); +Bowdata(plist,options):=( + regional(nm,tmp); + if(islist(plist), // 16.12.04from + tmp=textformat(plist,5); + tmp=replace(tmp,",",""); + nm=substring(tmp,1,length(tmp)-1); + Bowdata(nm,plist,options); + , + nm=plist; + tmp=options; + Bowdata(nm,tmp,[]); + ); // 16.12.04until +); +Bowdata(nm,plist,options):=( +//help:Bowdata([C,A],[2,1.2,"Expr=10","da"]); +//help:Bowdata([A,B],["Expr=t0n3,a"]); +//help:Bowdata([A,B],["Exprrot=t0n2r,a"]); + regional(name,Out,pB,pA,pC,ra,tmp,tmp1,tmp2,Ltype,eqL,realL, + Bname,Bpos,Th,Cut,Num,Hgt,opstr,opcindy,Ydata,pC, + Th1,Th2,Noflg,Bops,Bmov,Tmov,Nmov,rev); + name="bw"+nm; + tmp=Divoptions(options); + Ltype=tmp_1; + Noflg=tmp_2; + opstr=tmp_(length(tmp)-1); + opcindy=tmp_(length(tmp)); + eqL=tmp_5; + realL=tmp_6; + pA=Lcrd(plist_1); pB=Lcrd(plist_2); + Hgt=1/2*|pB-pA|*0.2; + Cut=0; + Num=24; + Bname=""; + Tmov=0;//16.11.01from + Nmov=0; + Bmov=""; + rev=0;//16.11.01until + if(length(realL)>0, + Hgt=realL_1*Hgt; // 15.04.12 + if(length(realL)>1,Cut=realL_2); + ); + forall(eqL, + tmp=substring(#,0,1); + if(tmp=="L" % tmp=="l", + if(indexof(#,"rot")>0, + Bname="Letterrot("; + , + Bname="Letter("; + ); + ); + if(tmp=="E" % tmp=="e", + if(indexof(#,"rot")>0, + Bname="Exprrot("; + , + Bname="Expr("; + ); + ); + tmp=indexof(#,"="); + Bops=substring(#,tmp,length(#)); // 16.11.01 + ); + Ydata=MakeBowdata(pA,pB,Hgt); + pC=Ydata_1; + ra=Ydata_2; + Th=(Ydata_3+Ydata_4)*0.5; + BOWMIDDLE=[pC_1+ra*cos(Th),pC_2+ra*sin(Th)]; + Bpos="md"+name; // 16.10.31from(moved) + tmp="Defvar("+Dq+Bpos+"="+textformat(BOWMIDDLE,5)+Dq+");"; + parse(tmp);// 16.10.31until(moved) + if(length(Bname)>0, //16.11.01from + tmp=indexof(Bops,","); + if(tmp>0, + tmp1=substring(Bops,0,tmp-1); + if(length(tmp1)>=4 & substring(tmp1,0,1)=="t" & indexof(tmp1,"n")>0, + Bmov=tmp1; + Bops=substring(Bops,tmp,length(Bops)); + ); + ); + if(length(Bmov)>0, + tmp=indexof(Bmov,"t"); + if(tmp>0, + tmp1=indexof(Bmov,"n"); + Tmov=parse(substring(Bmov,tmp,tmp1-1)); + tmp=indexof(Bmov,"r"); + if(tmp>0, + Nmov=parse(substring(Bmov,tmp1,tmp-1)); + rev=1; + , + Nmov=parse(substring(Bmov,tmp1,length(Bmov))); + ); + ); + ); + Bname=Bname+Bpos;//16.11.01 + if(abs(Tmov)+abs(Nmov)>0, + tmp=Pcrd(pA)-Pcrd(pB); + tmp1=1/norm(tmp)*tmp; + tmp2=[-tmp1_2,tmp1_1]; + tmp=MARKLEN*(Tmov*tmp1+Nmov*tmp2); + tmp=LLcrd(tmp); + Bname=Bname+"+"+text(tmp); + ); + Bname=Bname+","; + if(indexof(Bname,"rot")>0, + if(rev==1,tmp=pB-pA,tmp=pA-pB); + Bname=Bname+textformat(tmp,5)+","; + , + Bname=Bname+Dq+"c"+Dq+","; + ); + Bname=Bname+Dq+Bops+Dq+")"; + parse(Bname); + );//16.11.01until + if(Cut==0, + Th1=Ydata_3; + Th2=Ydata_4; + Out=[]; + forall(0..Num, + tmp=Th1+#*(Th2-Th1)/Num; + Out=append(Out,pC+ra*[cos(tmp),sin(tmp)]); + ); + , + Th1=Ydata_3; + Th2=Th-Cut/(2*ra); + tmp1=[]; + forall(0..Num/2, + tmp=Th1+#*(Th2-Th1)/(Num/2); + tmp1=append(tmp1,pC+ra*[cos(tmp),sin(tmp)]); + ); + Th1=Th+Cut/(2*ra); + Th2=Ydata_4; + tmp2=[]; + forall(0..Num/2, + tmp=Th1+#*(Th2-Th1)/(Num/2); + tmp2=append(tmp2,pC+ra*[cos(tmp),sin(tmp)]); + ); + Out=[tmp1,tmp2]; + ); + if(Noflg<3, + println("generate bowdata "+name+" and "+Bpos);//16.10.31 + if(MeasureDepth(Out)==1,Out=[Out]); + tmp1=[]; + forall(Out,tmp2, + tmp=apply(tmp2,Pcrd(#)); + tmp1=append(tmp1,tmp); + ); + tmp=name+"="+textformat(tmp1,5); + parse(tmp); + tmp1=substring(textformat(plist,5),1,length(textformat(plist,5))-1); + tmp=name+"=Bowdata("+tmp1+opstr+")"; + GLIST=append(GLIST,tmp); + ); + if(Noflg<2, + if(isstring(Ltype), + Ltype=GetLinestyle(text(Noflg)+Ltype,name); + , + if(Noflg==1,Ltype=0); + ); + GCLIST=append(GCLIST,[name,Ltype,opcindy]); + ); +); + +Bowname(str):=Bowname("c",str); +Bowname(dir,str):=( + Expr([BOWMIDDLE,dir,str]); +); + +Bownamerot(bwdata,str):=Bownamerot(bwdata,0,0,str,1); +Bownamerot(bwdata,str,updown):=Bownamerot(bwdata,0,0,str,updown); +Bownamerot(bwdata,tmov,nmov,str):=Bownamerot(bwdata,tmov,nmov,str,1); +Bownamerot(bwdata,tmov,nmov,str,updown):=( + regional(bdata,tmp); + tmp=MeasureDepth(bwdata); + if(tmp==1,bdata=[bwdata],bdata=bwdata); + if(length(bdata)>1, + tmp=Ptend(bdata_2)-Ptstart(bdata_1); + , + tmp=Ptend(bdata_1)-Ptstart(bdata_1); + ); + if(updown<0,tmp=-tmp); + Exprrot(BOWMIDDLE,tmp,tmov,nmov,str); +); + +Deqdata(deq,rng,initt,initf,Num):=( //17.10.04 +// Deqdata("[x1,...xn]`=[f1,...fn]","t=[0,20]",0,[...],50); + regional(Eps,Inf,tname,Xname,func,t1,t2,dt,tt,X0,flg, + kl1,kl2,kl3,kl4,pdL,tmp,tmp1,tmp2); + Eps=10^(-3); + Inf=10^3; + tmp=tokenize(deq,"="); + tmp1=replace(tmp_1,"`",""); + tmp1=substring(tmp1,1,length(tmp1)-1); + Xname=tokenize(tmp1,","); + func=tmp_2; + forall(1..(length(Xname)), + func=replace(func,Xname_#,"X_"+text(#)); + ); + tmp=tokenize(rng,"="); + tname=tmp_1; + tmp=parse(tmp_2); + t1=tmp_1; + t2=tmp_2; + tmp="funP("+tname+",X):="+func+";"; + parse(tmp); + tmp="funN("+tname+",X):=-"+func+";"; + parse(tmp); + dt=(t2-t1)/Num; + tt=initt; + X0=Lcrd(initf); + pdL=[flatten([tt,X0])]; + flg=0; + forall(1..floor((t2-initt)/dt), + if(flg==0, + kl1=dt*funP(tt,X0); + kl2=dt*funP(tt+dt/2,X0+kl1/2); + kl3=dt*funP(tt+dt/2,X0+kl2/2); + kl4=dt*funP(tt+dt,X0+kl3); + X0=X0+(kl1+2*kl2+2*kl3+kl4)/6; + tt=initt+#*dt; + tmp=flatten([tt,X0]); + pdL=append(pdL,tmp); + if(|tmp|>Inf,flg=1); + ); + ); + tt=initt; + X0=Lcrd(initf); + flg=0; + forall(1..floor((initt-t1)/dt), + if(flg==0, + kl1=dt*funN(tt,X0); + kl2=dt*funN(tt+dt/2,X0+kl1/2); + kl3=dt*funN(tt+dt/2,X0+kl2/2); + kl4=dt*funN(tt+dt,X0+kl3); + X0=X0+(kl1+2*kl2+2*kl3+kl4)/6; + tt=initt-#*dt; + tmp=flatten([tt,X0]); + pdL=prepend(tmp,pdL); + if(|tmp1|>Inf,flg=1); + ); + ); + pdL; +); + +Deqplot(nm,deq,rng,initf):=Deqplot(nm,deq,rng,Lcrd(initf)_1,initf,[]); +Deqplot(nm,deq,rng,Arg1,Arg2):=( + regional(initt,initf,options); + if(isreal(Arg1) & !islist(Arg1), + initt=Arg1; + initf=Arg2; + options=[]; + , + initf=Lcrd(Arg1); + initt=initf_1; + options=Arg2; + ); + Deqplot(nm,deq,rng,initt,initf,options); +); +Deqplot(nm,deqorg,rngorg,initt,initf,options):=( //17.10.06 +//help:Deqplot("2","y`=y*(1-y)","x",0, 0.5,["Num=100"]); +//help:Deqplot("1","y``=-y","x",0, [1,0]); +//help:Deqplot("3","[x,y]`=[x*(1-y),0.3*y*(x-1)]","t=[0,20]",0,[1,0.5]); + regional(deq,rng,Ltype,Noflg,eqL,opcindy,Num,name,nn,pdL,phase, + sel,tmp,tmp1,tmp2); + name="de"+nm; + tmp=Divoptions(options); + Ltype=tmp_1; + Noflg=tmp_2; + eqL=tmp_5; + opcindy=tmp_(length(tmp)); + Num=50; + forall(eqL, + tmp=indexof(#,"="); + tmp2=substring(#,0,1); + tmp2=Toupper(tmp2); + tmp1=substring(#,tmp,length(#)); + if(Toupper(substring(#,0,1))=="N", + Num=parse(tmp1); + ); + ); + rng=rngorg; + if(indexof(rng,"=")==0, + rng=rng+"="+textformat([XMIN,XMAX],6); + ); + deq=deqorg; + tmp=indexof(deq,"="); + tmp1=substring(deq,0,tmp-1); + if(indexof(tmp1,"[")==0, + phase=0; + sel=[1,2]; + , + phase=1; + sel=[2,3]; + ); + tmp2=substring(deq,tmp,length(deq)); + nn=length(Indexall(tmp1,"`")); + if(nn==1, + if(indexof(tmp1,"[")==0, + tmp1="["+replace(tmp1,"`","]`"); + deq=tmp1+"="+tmp2; + ); + , + tmp=indexof(tmp1,"`"); + tmp1=substring(tmp1,0,tmp-1); + deq="["; + forall(1..nn, + deq=deq+tmp1+"N"+text(#)+","; + ); + deq=substring(deq,0,length(deq)-1)+"]`=["; + forall(1..(nn-1), + deq=deq+tmp1+"N"+text(#+1)+","; + ); + forall(reverse(1..(nn)),jj, + tmp=tmp1; + forall(1..jj, + tmp=tmp+"`"; + tmp2=replace(tmp2,tmp,tmp1+"N"+text(#+1)); + ); + ); + tmp2=tmp2+"]"; + forall(1..(length(tmp2)-1), + tmp=substring(tmp2,#-1,#); + if(tmp!=tmp1, + deq=deq+tmp; + , + tmp=substring(tmp2,#,#+1); + if(tmp=="N", + deq=deq+tmp1; + , + deq=deq+tmp1+"N1" + ); + ); + ); + deq=deq+"]"; + ); + if(Noflg<3, + pdL=deqdata(deq,rng,initt,initf,Num); + if(phase==1, + pdL=apply(pdL,#_(2..3)); + ); + tmp1=apply(pdL,Pcrd(#)); + tmp=name+"="+textformat(tmp1,5); + parse(tmp); + ); + if(Noflg<1, + tmp=Assign(deq); + tmp=replace(deq,"'","`"); + tmp=name+"=Deqplot('"+tmp+"','"+rng+"',"; + tmp=tmp+format(initt,6)+","+textformat(initf,6); + tmp=tmp+","+text(sel)+",'Num="+text(Num)+"')"; + tmp=RSform(tmp); + GLIST=append(GLIST,tmp); + ); + if(Noflg<2, + if(isstring(Ltype), + Ltype=GetLinestyle(text(Noflg)+Ltype,name); + , + if(Noflg==1,Ltype=0); + ); + GCLIST=append(GCLIST,[name,Ltype,opcindy]); + ); +); + +////////// old enclosing /////////////// + +Enclosing(nm,plist):=EnclosingS(nm,plist); +Enclosing(nm,plist,options):=EnclosingS(nm,plist,options); +EnclosingS(nm,plist):=EnclosingS(nm,plist,[]); +EnclosingS(nm,plist,options):=( +//help:Enclosing("1",["sc2","crAB","sc2","Invert(sc1)"],[pt,"dr"]); + regional(name,AnsL,Start,Eps,EEps,S,Flg,Fdata,Gdata,KL,pt,qt, + t1,t2,t3,ii,nn,tmp,tmp1,tmp2,Ltype,Noflg,realL,eqL,opstr,opcindy); + name="en"+nm; + tmp=Divoptions(options); + Ltype=tmp_1; + Noflg=tmp_2; + eqL=tmp_5; + realL=tmp_6; + opstr=tmp_(length(tmp)-1); + opcindy=tmp_(length(tmp)); + Eps=10^(-5); // 16.12.05 + EEps=0.05; + Start=[]; + Flg=0; + forall(realL, + if(isList(#) % ispoint(#), + Start=Lcrd(#); // 15.09.12 + , + Flg=Flg+1; + if(Flg==1,Eps=#); + if(Flg==2,EEps=#); + ); + ); +// tmp1=concat([Eps,EEps],eqL); // 15.04.06 + Fdata=plist_1; + Gdata=plist_(length(plist)); + KL=IntersectcrvsPp(Fdata,Gdata); + if(length(KL)==1, + pt=KL_1_1; + t1=KL_1_2; + ); + if(length(KL)==0, + if(Numptcrv(Fdata)>Numptcrv(Gdata), + tmp=Nearestpt(Fdata,Gdata); + pt=tmp_1; + t1=tmp_2; + , + tmp=Nearestpt(Gdata,Fdata); + pt=tmp_3; + t1=tmp_4; + ); + ); + if(length(KL)>1, + if(Start==[], + err("No Start Point"); + , + pt=KL_1_1; + t1=KL_1_2; + tmp=|pt-Start|; + forall(2..(length(KL)),ii, // 15.04.20 + tmp1=KL_ii_1; + tmp2=|tmp1-Start|; // 15.04.20 + if(tmp2<tmp, + pt=tmp1; + t1=KL_ii_2; + tmp=tmp2; + ); + ); + ); + ); +// pt=Pcrd(pt); // 15.09.12 + Start=pt; + AnsL=[]; + forall(1..(length(plist)),nn, + Fdata=plist_nn; + if(nn>1, pt=qt); + if(nn==length(plist), + qt=Start; + , + Flg=0; + Gdata=plist_(nn+1); +// tmp1=concat([Eps,EEps],eqL); // 15.04.06 + KL=IntersectcrvsPp(Gdata,Fdata); + if(length(KL)==1, + tmp=KL_1; + qt=KL_1_1; + t3=KL_1_2; + Flg=10; + ); + if(length(KL)==0,Flg=1); + if(length(KL)>1, + tmp1=KL_1_1; + tmp2=KL_2_1; + tmp=|tmp1-tmp2|; + if(tmp<Eps*10, Flg=1); + ); + if(Flg==1, + if(Numptcrv(Fdata)>Numptcrv(Gdata), + tmp=Nearestpt(Fdata,Gdata); + qt=tmp_1; + t3=tmp_4; + Flg=10; + , + tmp=Nearestpt(Gdata,Fdata); + qt=tmp_3; + t3=tmp_2; + Flg=10; + ); + ); + if(Flg<10, + t2=10^6; //%inf; + forall(1..(length(KL)),ii, + tmp1=KL_ii_1; + tmp=KL_ii_3; + tmp2=ParamonCurve(tmp1,tmp,Fdata); + tmp3=KL_ii_2; + if(tmp2>t1+Eps & tmp2<t2+Eps, + qt=tmp1; + t2=tmp2; + t3=tmp3; + ); + ); + ); + ); + tmp=Partcrv("",pt,qt,Fdata,["nodata"]); + t1=t3; + if(nn==1, + AnsL=tmp; + , + AnsL=concat(AnsL,tmp_(2..(length(tmp)))); + ); + ); + AnsL=apply(AnsL,Pcrd(#)); // 15.09.12 + AnsL_(length(AnsL))=AnsL_1;//16.10.20 + if(Noflg<3, + println("generate Enclosing "+name); + tmp=name+"="+textformat(AnsL,5); + parse(tmp); + tmp=name+"=Enclosing(";//16.11.07from + tmp1="list("; + forall(plist, + tmp1=tmp1+#+","; + ); + tmp=tmp+substring(tmp1,0,length(tmp1)-1)+")"+opstr+")"; + GLIST=append(GLIST,tmp);//16.11.07until + // GLIST=append(GLIST,"Tmp=[]"); // 16.11.05from +// nn=floor(length(AnsL)/20); +// forall(1..nn,ii, +// tmp=AnsL_(((ii-1)*20+1)..(ii*20)); +// tmp=apply(tmp,LLcrd(#)); +// tmp="Tmp=[Tmp,"+textformat(tmp,5)+"]"; +// GLIST=append(GLIST,tmp); +// ); +// if(length(AnsL)>nn*20, +// tmp=AnsL_((nn*20+1)..(length(AnsL))); +// tmp=apply(tmp,LLcrd(#)); +// tmp="Tmp=[Tmp,"+textformat(tmp,5)+"]"; +// GLIST=append(GLIST,tmp); +// ); +// GLIST=append(GLIST,name+"=Listplot(Tmp)"); // 16.11.05until + ); + if(Noflg<2, + if(isstring(Ltype), + Ltype=GetLinestyle(text(Noflg)+Ltype,name); + , + if(Noflg==1,Ltype=0); + ); + GCLIST=append(GCLIST,[name,Ltype,opcindy]); + ); + tmp=apply(AnsL,LLcrd(#));//16.10.20 + tmp; +); + +/////////// new enclosing /////////// + +Enclosing2(nm,plist):=Enclosing2(nm,plist,[]); +Enclosing2(nm,plistorg,options):=( +//help:Enclosing2("1",["sc2","crAB","sc2","Invert(sc1)"]); +//help:Enclosing2(options=[Eps1(0.01),Eps2(0.1)]); + regional(name,plist,AnsL,Start,Eps,Eps1,Eps2,flg,Fdata,Gdata,KL, + t1,t2,tst,ss,ii,nn,nxtno,Ltype,Noflg,realL,eqL,opstr,opcindy, + tmp,tmp1,tmp2); + name="en"+nm; + plist=plistorg; + tmp=Divoptions(options); + Ltype=tmp_1; + Noflg=tmp_2; + eqL=tmp_5; + realL=tmp_6; + opstr=tmp_(length(tmp)-1); + opcindy=tmp_(length(tmp)); + Eps=10^(-5); // 16.12.05 + Eps1=0.01; + Eps2=0.1; + Start=[]; + flg=0; + forall(realL, + if(isList(#) % ispoint(#), +// Start=Lcrd(#); // 18.02.02 + , + if(flg==0,Eps1=#); + if(flg==1,Eps2=#); + flg=flg+1; + ); + ); + flg=0; + AnsL=[]; + if(length(plist)==1, + Fdata=parse(plist_1); + tmp1=Fdata_1; + tmp2=Fdata_(length(Fdata)); + if(|tmp1-tmp2|<Eps, + AnsL=Fdata; + , + AnsL=append(Fdata,tmp1); + ); + flg=1; + ); + if(flg==0, + Fdata=plist_1; + Gdata=plist_(length(plist)); + KL=IntersectcurvesPp(Fdata,Gdata); + if(length(KL)==0, + tmp=parse(Gdata); + tmp1=LLcrd(Op(length(tmp),tmp)); //18.02.02from + tmp=parse(Fdata); + tmp2=LLcrd(Op(1,tmp)); + tmp=Listplot(name,[tmp1,tmp2],["nodisp"]); + plist=append(plist,"sg"+name); + Start=tmp2; + tst=1; //18.02.02until + , + if(length(KL)==1, + tst=KL_1_2; + Start=Pointoncurve(tst,Fdata); + ); + if(length(KL)>1, + KL=sort(KL,[#_2]); + if(Start==[], + tst=KL_1_2; + Start=Pointoncurve(tst,Fdata); + , + tmp=apply(KL,|#_1-Start|); + tmp=min(tmp); + tmp1=select(KL,|#_1-Start|==tmp); + tst=tmp1_1_2; + Start=Pointoncurve(tst,Fdata); + ); + ); + ); + ); + if(flg==0, + t1=tst; + println("Start point of enclosing is "+text(Start)); + forall(1..(length(plist)),nn, + Fdata=plist_nn; + if(nn==length(plist),nxtno=1,nxtno=nn+1); + Gdata=plist_nxtno; + KL=IntersectcurvesPp(Fdata,Gdata); + if(length(KL)==0, + tmp1=parse(Fdata); //18.02.02from + tmp2=parse(Gdata); + tmp2=Prepend(Op(length(tmp1),tmp),tmp2); + Gdata=replace(Gdata,"(",""); + Gdata=replace(Gdata,")",""); + tmp=Gdata+"="+textformat(tmp2,6); + parse(tmp); + plist_nxtno=Gdata; + t2=Length(tmp1); + ss=1; //18.02.02until + , + t2=KL_1_2; + ss=KL_1_3; + if(abs(t2-t1)<Eps, + if(length(KL)>1, + t2=KL_2_2; + ss=KL_2_3; + , + println(text(nn)+" and "+text(nxtno)+" not intersect"); + flg=1; + ); + ); + ); + if(flg==0, + tmp=Partcrv("",t1,t2,Fdata,["nodata"]); + if(nn==1, + AnsL=tmp; + , + AnsL=concat(AnsL,tmp_(2..(length(tmp)))); + ); + t1=ss; + ); + ); + ); + if(flg==0, + AnsL=apply(AnsL,Pcrd(#)); + ); + if(Noflg<3, + println("generate Enclosing "+name); + tmp=name+"="+textformat(AnsL,5); + parse(tmp); + tmp=name+"=Enclosing2(";//16.11.07from + tmp1="list("; + forall(plistorg, //18.02.02 + tmp1=tmp1+#+","; + ); + tmp=tmp+substring(tmp1,0,length(tmp1)-1)+"))";//18.02.02 + GLIST=append(GLIST,tmp);//16.11.07until + ); + if(Noflg<2, + if(isstring(Ltype), + Ltype=GetLinestyle(text(Noflg)+Ltype,name); + , + if(Noflg==1,Ltype=0); + ); + GCLIST=append(GCLIST,[name,Ltype,opcindy]); + ); + tmp=apply(AnsL,LLcrd(#));//16.10.20 + tmp; +); + +/////////// end of new enclosing /////////// + +/////////// new Hatchdata(cindy) /////////// + +Makehatch(iolistorg,pt,vec,bdylist):=( + regional(Eps,iolist,sg,bdy,out,nb,tenL,ns,ne,ioL, + ii,jj,kk,nvec,nbdy,sgn1,sgn2,flg,rmL,p0,p1,p2,pL, + Scalebkup,tmp,tmp1,tmp2); + Eps=10^(-6); + nvec=[-vec_2,vec_1]; + nvec=nvec/|nvec|; + if(!islist(iolistorg),iolist=[iolistorg],iolist=iolistorg); + forall(1..(length(iolist)), + tmp=replace(iolist_#,"i","1,"); + tmp=replace(tmp,"o","0,"); + tmp="["+substring(tmp,0,length(tmp)-1)+"]"; + iolist_#=parse(tmp); + ); + Scalebkup=SCALEY; + SCALEY=1; + sg=Lineplot("",[pt,pt+vec],["nodata"]); + nb=length(bdylist); + if(nb>0, + tenL=[]; + forall(1..nb,ii, + rmL=[]; + bdy=bdylist_ii; + nbdy=length(bdy)-1; + pL=[]; + forall(1..nbdy,jj, + p1=bdy_jj; + p2=bdy_(mod(jj+1-1,nbdy)+1); + tmp=Intersectseg(sg,[p1,p2],Eps); + if(abs(tmp_1)<Eps, //18.02.01 + p0=tmp_2; t=tmp_3; s=tmp_4; + pL=append(pL,[p0,t,s,ii]); + ); + ); + if(length(pL)>0, + pL=sort(pL,[#_2]); + pL=apply(1..(length(pL)),append(pL_#,mod(#,2))); + tenL=concat(tenL,pL); + ); + ); + tenL=sort(tenL,[#_2]); + ioL=apply(1..nb,0); + ns=1; + ne=length(tenL); + if(ne>0,tmp=tenL_1_1,tmp=sg_2); + if(|sg_1-tmp|>Eps, + tmp=[sg_1,-1,1,ioL]; + tenL=prepend(tmp,tenL); + ns=ns+1; + ne=ne+1; + ); + if(|sg_2-tenL_(length(tenL))_1|>Eps, + tmp=[sg_2,-1,2,ioL]; + tenL=append(tenL,tmp); + ); + forall(ns..ne,ii, + tmp=tenL_ii; + tmp1=tmp_4; + tmp2=tmp_5; + ioL_tmp1=tmp2; + tmp=[tmp_1,tmp_2,tmp_4,ioL]; + tenL_ii=tmp; + ); + out=[]; + forall(1..(length(tenL)-1),ii, + tmp1=tenL_ii; + if(contains(iolist,tmp1_4), + tmp2=tenL_(ii+1); + tmp=Listplot("",[tmp1_1,tmp2_1],["nodata"]); + out=append(out,tmp); + ); + ); + ); + SCALEY=Scalebkup; + out; +); + +Hatchdatacindy(nm,iostr,bdylist):=Hatchdatacindy(nm,iostr,bdylist,[]); +Hatchdatacindy(nm,iostr,bdylistorg,options):=( +//help:Hatchdatacindy("1",["ii"],[["ln1","Invert(gr1)"],["gr2","n"]]); +//help:Hatchdatacindy(options=[angle,width]); + regional(name,bdylist,bdynameL,bname,Ltype,Noflg,opstr,opcindy,reL,startP,angle, + interval,vec,nvec,flg,pt,kk,delta,sha,AnsL,tmp,tmp1,tmp2); + name="ha"+nm; + bdylist=[]; + bdynameL=[]; + forall(1..(length(bdylistorg)),kk, + tmp1=bdylistorg_kk; + if(length(tmp1)==1, + bname=tmp1_1; + , + tmp=tmp1_(length(tmp1)); + if(contains(["n","s","e","w"],tmp), + tmp2=parse(tmp1_1); + if(tmp=="s", + Listplot(name,[LLcrd(tmp2_1),[tmp2_1_1,YMIN], + [tmp2_(length(tmp2))_1,YMIN],LLcrd(tmp2_(length(tmp2)))],["nodisp"]); + Joincrvs(text(kk)+name,[tmp1_1,"sg"+name],["nodisp"]); + bname="join"+text(kk)+name; + ); + if(tmp=="n", + Listplot(name,[LLcrd(tmp2_1),[tmp2_1_1,YMAX], + [tmp2_(length(tmp2))_1,YMAX],LLcrd(tmp2_(length(tmp2)))],["nodisp"]); + Joincrvs(text(kk)+name,[tmp1_1,"sg"+name],["nodisp"]); + bname="join"+text(kk)+name; + ); + if(tmp=="e", + Listplot(name,apply([tmp2_1,[XMAX,tmp2_1_2], + [XMAX,tmp2_(length(tmp2))_2],tmp2_(length(tmp2))],LLcrd(#)),["nodisp"]); + Joincrvs(text(kk)+name,[tmp1_1,"sg"+name],["nodisp"]); + bname="join"+text(kk)+name; + ); + if(tmp=="w", + Listplot(name,apply( [tmp2_1,[XMIN,tmp2_1_2], + [XMIN,tmp2_(length(tmp2))_2],tmp2_(length(tmp2))],LLcrd(#)),["nodisp"]); + Joincrvs(text(kk)+name,[tmp1_1,"sg"+name],["nodisp"]); + bname="join"+text(kk)+name; + ); + , + Enclosing2(text(#)+name,tmp,["nodisp"]); + bname="en"+text(#)+name; + ); + ); + bdylist=append(bdylist,parse(bname)); + bdynameL=append(bdynameL,bname); + ); + tmp=Divoptions(options); + Ltype=tmp_1; + Noflg=tmp_2; + opstr=tmp_(length(tmp)-1); + opcindy=tmp_(length(tmp)); + reL=tmp_6; + angle=45; + interval=0.125*1000/2.54/MilliIn; + startP=[(XMIN+XMAX)/2, (YMIN+YMAX)/2]; + tmp1=1; + forall(reL, + if(islist(#), + startP=#; + , + if(tmp1==1, + angle=#; + tmp1=tmp1+1; + , + interval= interval*#; + ); + ); + ); + angle=angle*pi/180; + vec=[cos(angle),sin(angle)]; + nvec=[-sin(angle),cos(angle)]; + AnsL=[]; + flg=0; + forall(0..100,kk, + pt=startP+kk*interval*nvec; + if(flg==0, + sha=Makehatch(iostr,pt,vec,bdylist); + if((sha==-1)%(length(sha)==0), +// flg=1; + , + AnsL=concat(AnsL,sha); + ); + ); + ); + flg=0; + forall(1..100,kk, + pt=startP-kk*interval*nvec; + if(flg==0, + sha=Makehatch(iostr,pt,vec,bdylist); + if((sha==-1)%(length(sha)==0), +// flg=1; + , + AnsL=concat(AnsL,sha); + ); + ); + ); + if(Noflg<3, + println("generate Hatchdata "+name); + tmp=name+"="+textformat(AnsL,5); + parse(tmp); + if(!islist(iostr),tmp1=[iostr],tmp1=iostr); + tmp="c("; + forall(tmp1, + tmp=tmp+Dq+#+Dq+","; + ); + tmp=substring(tmp,0,length(tmp)-1)+")"; + tmp2=name+"=Hatchdata("+tmp; + forall(bdynameL, + tmp2=tmp2+",list("+#+")"; + ); + tmp2=tmp2+opstr+")"; + GLIST=append(GLIST,tmp2); + ); + if(Noflg<2, + if(isstring(Ltype), + Ltype=GetLinestyle(text(Noflg)+Ltype,name); + , + if(Noflg==1,Ltype=0); + ); + GCLIST=append(GCLIST,[name,Ltype,opcindy]); + ); + tmp2=[]; + forall(AnsL,tmp1, + tmp=apply(tmp1,LLcrd(#)); + tmp2=append(tmp2,tmp); + ); + tmp2; +); + +/////////// end of new Hatchdata(cindy) /////////// + + +Shade(plist):=Shade(plist,[]); +Shade(plist,options):=( +//help:Shade(["gr2","sg1"],[0.5]); +//help:Shade(["gr2","sg1"],["red" /pict2e]); +//help:Shade(["gr2","sg1"],[[0,0,0,0.5] /pict2e]); +//help:Shade(["gr2","sg1"],[[1,0,0] /pict2e]); +//help:Shade([pointlist]); + regional(tmp,tmp1,tmp2,opstr,opcindy,Str,G2,flg); + if(isstring(plist_1), // 16.01.24 + println("output Shade of "+plist); + , + println("output Shade of lists"); + ); + tmp=Divoptions(options); + opstr=tmp_(length(tmp)-1); + opcindy=tmp_(length(tmp)); + flg=0; + forall(plist, + if(flg==0, + if(isstring(#),tmp=parse(#),tmp=#); // from 16.01.24 + if(!islist(tmp),flg=1); until + ); + ); + if(flg==1, +// err("some data not defined yet"); + , + G2=Joincrvs("1",plist,["nodata"]); + G2=apply(G2,Pcrd(#)); + tmp1="fillpoly("+textformat(G2,5)+opcindy+");"; + parse(tmp1); + ); + Str="Shade("; + tmp1="list("; + forall(plist, + if(isstring(#), // from 16.01.24 + if(length(#)>1, + tmp1=tmp1+#+","; + , + tmp1=tmp1+Dq+#+Dq+","; + ); + , + tmp1=tmp1+"Listplot("+textformat(#,5)+"),"; + ); // until 16.01.24 + ); + Str=Str+substring(tmp1,0,length(tmp1)-1)+")"+opstr+")"; + Com2nd(Str); +); + +//help:end(); + diff --git a/Master/texmf-dist/scripts/ketcindy/ketlib/ketcindylibbasic2logr.txt b/Master/texmf-dist/scripts/ketcindy/ketlib/ketcindylibbasic2logr.txt new file mode 100644 index 00000000000..6510040a896 --- /dev/null +++ b/Master/texmf-dist/scripts/ketcindy/ketlib/ketcindylibbasic2logr.txt @@ -0,0 +1,87 @@ +//20180409 +// WritetoRS,Makebat changed ( "shell" used ) +//20180408 +// WritetoRS debugged ( setwd ) +// WriteoRS,Makebat changed ( use "sjis.txt") +//20180405 +// Makebat debugged +//20180404 +// Tlistplot changed ("Msg"); +// WritetoRS debugged ( openfie(..,Cdy= )) +//20180403 +// WritetoRS, Makebat changed (for Zenkaku) +// Convsjiswin removed +// Mkslidesummary debugged +//20180401 +// Convsjiswin added +// Makebat changed (for convsjis ) +//20180330 +// Presentation changed (for wallpaper ) +// Settitle changed (Title option ) +//20180303 +// Letter debugged (for ` ) +//2017.12.24 +// IftoR, FortoR,Deffun rewritten +//2017.12.23 +// Bezier, Translatedata,Rotatedata,Reflectdata debugged ( [ ] ) +// RSform : help added +//2017.12.19 +// WritetoSci() added (=WritetoR(), for old Parent button ) +//2017.12.16 +// Setslidehyper changed ("Size=","Pos=[]") +//2017.12.09 +// Mkslides changed (for animation) +// MakeRarg (from Makesciarg ) added ( RSslash ) +// Setax, Htickmark, Vtickmark changed ( MakeRarg ) +//2017.11.24 +// Slidework changed ( makedir) +// Rotatedata debugged ( MeasureDepth) +//2017.11.20 +// Slidework changed ( for the case of (ex) dir="...../") +//2017.11.05 +// Figpdf debugged +//2017.11.01 +// Presentation debugged ( usepackage{ketpic} etc. ) +//2017.10.30 +// Viewtex changed ( path of ketpicstyle ) +//2017.10.28 +// WritetoRS changed ( generator is written ) +//2017.10.26 +// Mksummary changed for R +//2017.10.18 +// Letter,Letterrot,Exprrot debugged (\ and \\) +//2017.10.17 +// Viewtex debugged ($ removed for xelatex) +//2017.10.16 +// Mkslides debugged ( line4 from last,path) +//2017.10.14 +// Makebat,Makeshell changed(flow="tt" supported) +//2017.10.13 +// Makebat,Makeshell,Mkslides debugged (Shellfile,Sehllchild removed ) +// Makeshell debugged ( Case of no "/" ) +//2017.10.08 +// Mkslides debugged (Sheslide=>Shellslide ) +//2017.10.07 +// WritetoRS changed (for pict2e) +// Helplist debugged ( for r ) +//2017.10.06 +// RSform debugged +//2017.09.29 +// Viewparent debugged (WritetoRS) +//2017.09.24 +// WritetoRS debugged ("\" => "/") +// RSslash added +// Letter changed (RSslash used) +//2017.09.22 +// Defvar changed ("=" removed) +// WritetoRS changed (Com1st,..., VLIST ) +//2017.09.18 +// Extractdata changed +// SCIWR,SCIRE removed +//2017.09.17 +// WritetoRS added +// Viewtex changed ( Writetosci => WritetoR ) +//2017.09.16 +// RSform, Deffun, IftoR, FortoR changed( added ) +//2017.09.14 +// Makeshell, Makebat changed
\ No newline at end of file diff --git a/Master/texmf-dist/scripts/ketcindy/ketlib/ketcindylibbasic2r.cs b/Master/texmf-dist/scripts/ketcindy/ketlib/ketcindylibbasic2r.cs new file mode 100644 index 00000000000..ae40d147f9b --- /dev/null +++ b/Master/texmf-dist/scripts/ketcindy/ketlib/ketcindylibbasic2r.cs @@ -0,0 +1,5073 @@ +// Copyright (C) 2014 Setsuo Takato, KETCindy Japan project team
+//
+//This program is free software: you can redistribute it and/or modify
+// it under the terms of the GNU General Public License as published by
+// the Free Software Foundation; either version 3 of the License, or
+// (at your option) any later version.
+//
+// This program is distributed in the hope that it will be useful,
+// but WITHOUT ANY WARRANTY; without even the implied warranty of
+// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+// GNU General Public License for more details.
+//
+// You should have received a copy of the GNU General Public License
+// along with this program. If not, see <http://www.gnu.org/licenses/>
+//
+
+println("ketcindybasic2(20180409) loaded");
+
+//help:start();
+
+Dispchoice():=(
+ if(islist(Ch),
+ if(!isreal(ChNum),ChNum=1);
+ drawtext(mouse().xy,"Ch="+text(Ch)+" N="+text(ChNum),size->24,color->[0,0,1]);
+ );
+);
+
+Datetime():=(
+//help:Datetime();
+ regional(names,dt,tmp);
+ tmp=getdatetime();
+ dt=tokenize(tmp," ");
+ dt=apply(dt,if(!isstring(#),text(#),#));
+ names=["Jan","Feb","Mar","Apr","May","Jun",
+ "Jul","Aug","Sep","Oct","Nov","Dec"];
+ tmp=select(1..12,names_#==dt_2);
+ tmp=text(tmp_1);
+ tmp=[dt_6+"/"+tmp+"/"+dt_3,dt_4];
+);
+
+Rotatepoint(point,Theta,ctr):=(
+//help:Rotatepoint(A,2*pi/3,B);
+ regional(X1,X2,Y1,Y2,Cx,Cy,tmp);
+ tmp=Lcrd(point);
+ X1=tmp_1; Y1=tmp_2;
+ tmp=Lcrd(ctr);
+ Cx=tmp_1; Cy=tmp_2;
+ X2=Cx+(X1-Cx)*cos(Theta)-(Y1-Cy)*sin(Theta);
+ Y2=Cy+(X1-Cx)*sin(Theta)+(Y1-Cy)*cos(Theta);
+ [X2,Y2];
+);
+
+Translatepoint(point,mov):=(
+//help:Translatepoint(A,[2,3]);
+ regional(X1,X2,Y1,Y2,Cx,Cy,tmp);
+ tmp=Lcrd(point);
+ X1=tmp_1; Y1=tmp_2;
+ tmp=Lcrd(mov);
+ Cx=tmp_1; Cy=tmp_2;
+ X2=X1+Cx;
+ Y2=Y1+Cy;
+ [X2,Y2];
+);
+
+Scalepoint(point,ratio,center):=(
+//help:Scalepoint(A,[3,2],[0,0]);
+ regional(X1,X2,Y1,Y2,Cx,Cy,tmp);
+ tmp=Lcrd(point);
+ X1=tmp_1; Y1=tmp_2;
+ tmp=Lcrd(center);
+ Cx=tmp_1; Cy=tmp_2;
+ X2=Cx+ratio_1*(X1-Cx);
+ Y2=Cy+ratio_2*(Y1-Cy);
+ [X2,Y2];
+);
+
+Reflectpoint(point,symL):=(
+//help:Reflectpoint(A,B);
+//help:Reflectpoint(A,[[2,3]]);
+//help:Reflectpoint(A,[C,E]);
+ regional(X1,X2,Y1,Y2,Us,Vs,Pt1,Pt2,Cx,Cy,tmp);
+ tmp=Lcrd(point);
+ X1=tmp_1; Y1=tmp_2;
+ Pt1=Lcrd(symL_1);
+ if(length(symL)==1,
+ Pt2=Pt1;
+ ,
+ Pt2=Lcrd(symL_2);
+ );
+ Us=Pt2_1-Pt1_1;
+ Vs=Pt2_2-Pt1_2;
+ if(Pt1==Pt2,
+ X2=2*Pt1_1-X1;
+ Y2=2*Pt1_2-Y1;
+ ,
+ X2=(Us^2-Vs^2)/(Us^2+Vs^2)*X1+2*Us*Vs/(Us^2+Vs^2)*Y1
+ -2*Vs*(Us*Pt1_2-Vs*Pt1_1)/(Us^2+Vs^2);
+ Y2=2*Us*Vs/(Us^2+Vs^2)*X1-(Us^2-Vs^2)/(Us^2+Vs^2)*Y1
+ +2*Us*(Us*Pt1_2-Vs*Pt1_1)/(Us^2+Vs^2);
+ );
+ [X2,Y2];
+);
+
+Rotatedata(nm,plist,Theta):=Rotatedata(nm,plist,Theta,[]);
+Rotatedata(nm,plist,angle,options):=(
+//help:Rotatedata("1","crAB",pi/3,[[1,5],"dr,2"]);
+ regional(tmp,tmp1,tmp2,pdata,Theta,Pt,Cx,Cy,PdLL,PdL,
+ opcindy,Nj,Njj,Kj,Mj,X1,Y1,X2,Y2,Ltype,Noflg,name);
+ name="rt"+nm;
+ Pt=[0,0];
+ tmp=Divoptions(options);
+ Ltype=tmp_1;
+ Noflg=tmp_2;
+ opcindy=tmp_(length(tmp));
+ tmp1=tmp_6;
+ if(length(tmp1)>0,Pt=Lcrd(tmp1_1));
+ pdata=plist;
+ if(isstring(pdata),pdata=[pdata]);
+ if(!isstring(pdata_1) & MeasureDepth(pdata)==1,
+ pdata=[pdata];
+ );
+ if(isstring(angle),Theta=parse(angle),Theta=angle);
+ Cx=Pt_1; Cy=Pt_2;
+ PdL=[];
+ forall(pdata,Njj,
+ if(isstring(Njj),Kj=parse(Njj),Kj=Njj);
+ if(MeasureDepth(Kj)==0,Kj=[Kj]); //17.11.24
+ if(MeasureDepth(Kj)==1,Kj=[Kj]);
+ tmp2=[];
+ forall(Kj,Nj,
+ tmp1=[];
+ forall(Nj,
+ tmp=LLcrd(#);
+ X1=tmp_1;
+ Y1=tmp_2;
+ X2=Cx+(X1-Cx)*cos(Theta)-(Y1-Cy)*sin(Theta);
+ Y2=Cy+(X1-Cx)*sin(Theta)+(Y1-Cy)*cos(Theta);
+ tmp1=concat(tmp1,[[X2,Y2]]);
+ );
+ tmp2=concat(tmp2,[tmp1]);
+ );
+ PdL=concat(PdL,tmp2);
+ );
+ if(Noflg<3,
+ println("generate Rotatedata "+name);
+ tmp1=[];
+ forall(PdL,tmp2,
+ tmp=apply(tmp2,Pcrd(#));
+ tmp1=append(tmp1,tmp);
+ );
+ if(length(tmp1)==1,tmp1=tmp1_1);
+ tmp=name+"="+textformat(tmp1,5);
+ parse(tmp);
+ tmp1=text(plist);
+ tmp1=RSform(tmp1);// 17.12.23(2lines)
+ tmp=name+"=Rotatedata("+tmp1+","
+ +textformat(angle,5)+","+RSform(textformat(Pt,5))+")"; //17.12.23
+ GLIST=append(GLIST,tmp);
+ );
+ if(Noflg<2,
+ if(isstring(Ltype),
+ Ltype=GetLinestyle(text(Noflg)+Ltype,name);
+ ,
+ if(Noflg==1,Ltype=0);
+ );
+ GCLIST=append(GCLIST,[name,Ltype,opcindy]);
+ );
+ PdL;
+);
+
+Translatedata(nm,plist,mov):=Translatedata(nm,plist,mov,[]);
+Translatedata(nm,plist,mov,options):=(
+//help:Translatedata("1",["gr1"],[1,2]);
+ regional(tmp,tmp1,tmp2,pdata,Cx,Cy,PdL,Nj,Njj,Kj,
+ opcindy,X2,Y2,Ltype,Noflg,name);
+ name="tr"+nm;
+ tmp=Divoptions(options);
+ Ltype=tmp_1;
+ Noflg=tmp_2;
+ opcindy=tmp_(length(tmp));
+ pdata=plist;
+ if(isstring(pdata),pdata=[pdata]);
+ if(!isstring(pdata_1) & MeasureDepth(pdata)==1,
+ pdata=[pdata];
+ );
+ tmp=Lcrd(mov);
+ Cx=tmp_1; Cy=tmp_2;
+ PdL=[];
+ forall(pdata,Njj,
+ if(isstring(Njj),Kj=parse(Njj),Kj=Njj);
+ if(MeasureDepth(Kj)==1,Kj=[Kj]);
+ tmp2=[];
+ forall(Kj,Nj,
+ tmp1=[];
+ forall(Nj,
+ tmp=LLcrd(#);
+ X2=tmp_1+Cx;
+ Y2=tmp_2+Cy;
+ tmp1=concat(tmp1,[[X2,Y2]]);
+ );
+ tmp2=concat(tmp2,[tmp1]);
+ );
+ PdL=concat(PdL,tmp2);
+ );
+ if(Noflg<3,
+ println("generate Translatedata "+name);
+ tmp1=[];
+ forall(PdL,tmp2,
+ tmp=apply(tmp2,Pcrd(#));
+ tmp1=append(tmp1,tmp);
+ );
+ if(length(tmp1)==1,tmp1=tmp1_1);
+ tmp=name+"="+textformat(tmp1,5);
+ parse(tmp);
+ tmp1=text(plist);
+ tmp1=RSform(tmp1);// 17.12.23
+ tmp=name+"=Translatedata("+tmp1+","+RSform(textformat(mov,5))+")";
+ GLIST=append(GLIST,tmp);
+ );
+ if(Noflg<2,
+ if(isstring(Ltype),
+ Ltype=GetLinestyle(text(Noflg)+Ltype,name);
+ ,
+ if(Noflg==1,Ltype=0);
+ );
+ GCLIST=append(GCLIST,[name,Ltype,opcindy]);
+ );
+ PdL;
+);
+
+Scaledata(nm,plist,ratioV):=(
+ regional(tmp);
+ tmp=Lcrd(ratioV);
+ Scaledata(nm,plist,tmp_1,tmp_2,[]);
+);
+Scaledata(nm,plist,Arg1,Arg2):=(
+//help:Scaledata("1","crAB",3,2,[[0,0]]);
+ regional(tmp,options);
+ if(islist(Arg2),
+ tmp=Lcrd(Arg1);
+ options=Arg2;
+ Scaledata(nm,plist,tmp_1,tmp_2,options);
+ ,
+ Scaledata(nm,plist,Arg1,Arg2,[]);
+ );
+);
+Scaledata(nm,plist,rx,ry,options):=(
+ regional(tmp,tmp1,tmp2,pdata,Theta,Pt,Cx,Cy,PdL,
+ opcindy,Nj,Njj,Kj,X2,Y2,Ltype,Noflg,name);
+ name="sc"+nm;
+ Pt=[0,0];
+ tmp=Divoptions(options);
+ Ltype=tmp_1;
+ Noflg=tmp_2;
+ opcindy=tmp_(length(tmp));
+ tmp1=tmp_6;
+ if(length(tmp1)>0,
+ Pt=Lcrd(tmp1_1);
+ );
+ pdata=plist;
+ if(isstring(pdata),pdata=[pdata]);
+ if(!isstring(pdata_1) & MeasureDepth(pdata)==1,
+ pdata=[pdata];
+ );
+ Cx=Pt_1; Cy=Pt_2;
+ PdL=[];
+ forall(pdata,Njj,
+ if(isstring(Njj),Kj=parse(Njj),Kj=Njj);
+ if(MeasureDepth(Kj)==1,Kj=[Kj]);
+ tmp2=[];
+ forall(Kj,Nj,
+ tmp1=[];
+ forall(Nj,
+ tmp=LLcrd(#);
+ X2=Cx+rx*(tmp_1-Cx);
+ Y2=Cy+ry*(tmp_2-Cy);
+ tmp1=concat(tmp1,[[X2,Y2]]);
+ );
+ tmp2=concat(tmp2,[tmp1]);
+ );
+ PdL=concat(PdL,tmp2);
+ );
+ if(Noflg<3,
+ println("generate Scaledata "+name);
+ tmp1=[];
+ forall(PdL,tmp2,
+ tmp=apply(tmp2,Pcrd(#));
+ tmp1=append(tmp1,tmp);
+ );
+ if(length(tmp1)==1,tmp1=tmp1_1);
+ tmp=name+"="+textformat(tmp1,5);
+ parse(tmp);
+ tmp1=text(plist);
+ tmp1=RSform(tmp1); // 17.12.23
+ tmp=name+"=Scaledata("+tmp1+","
+ +textformat(rx,5)+","+textformat(ry,5)+","+RSform(textformat(Pt,5))+")";
+ GLIST=append(GLIST,tmp);
+ );
+ if(Noflg<2,
+ if(isstring(Ltype),
+ Ltype=GetLinestyle(text(Noflg)+Ltype,name);
+ ,
+ if(Noflg==1,Ltype=0);
+ );
+ GCLIST=append(GCLIST,[name,Ltype,opcindy]);
+ );
+ PdL;
+);
+
+Reflectdata(nm,plist,symL):=Reflectdata(nm,plist,symL,[]);
+Reflectdata(nm,plist,symL,options):=(
+//help:Reflectdata("1","crAB",[C]);
+ regional(tmp,tmp1,tmp2,pdata,Us,Vs,Pt1,Pt2,Cx,Cy,PdL,
+ opcindy,Nj,Njj,Kj,X1,Y1,X2,Y2,Ltype,Noflg,name);
+ name="re"+nm;
+ Pt=[0,0];
+ tmp=Divoptions(options);
+ Ltype=tmp_1;
+ Noflg=tmp_2;
+ opcindy=tmp_(length(tmp));
+ pdata=plist;
+ if(isstring(pdata),pdata=[pdata]);
+ if(!isstring(pdata_1) & MeasureDepth(pdata)==1,
+ pdata=[pdata];
+ );
+ Pt1=Lcrd(symL_1);
+ if(length(symL)==1,
+ Pt2=Pt1;
+ ,
+ Pt2=Lcrd(symL_2);
+ );
+ Us=Pt2_1-Pt1_1;
+ Vs=Pt2_2-Pt1_2;
+ PdL=[];
+ forall(pdata,Njj,
+ if(isstring(Njj),Kj=parse(Njj),Kj=Njj);
+ if(MeasureDepth(Kj)==1,Kj=[Kj]);
+ tmp2=[];
+ forall(Kj,Nj,
+ tmp1=[];
+ forall(Nj,
+ tmp=LLcrd(#);
+ X1=tmp_1;
+ Y1=tmp_2;
+ if(Pt1==Pt2,
+ X2=2*Pt1_1-X1;
+ Y2=2*Pt1_2-Y1;
+ ,
+ X2=(Us^2-Vs^2)/(Us^2+Vs^2)*X1+2*Us*Vs/(Us^2+Vs^2)*Y1
+ -2*Vs*(Us*Pt1_2-Vs*Pt1_1)/(Us^2+Vs^2);
+ Y2=2*Us*Vs/(Us^2+Vs^2)*X1-(Us^2-Vs^2)/(Us^2+Vs^2)*Y1
+ +2*Us*(Us*Pt1_2-Vs*Pt1_1)/(Us^2+Vs^2);
+ );
+ tmp1=concat(tmp1,[[X2,Y2]]);
+ );
+ tmp2=concat(tmp2,[tmp1]);
+ );
+ PdL=concat(PdL,tmp2);
+ );
+ if(Noflg<3,
+ println("generate Reflectdata "+name);
+ tmp1=[];
+ forall(PdL,tmp2,
+ tmp=apply(tmp2,Pcrd(#));
+ tmp1=append(tmp1,tmp);
+ );
+ if(length(tmp1)==1,tmp1=tmp1_1);
+ tmp=name+"="+textformat(tmp1,5);
+ parse(tmp);
+ tmp1=text(plist);
+ tmp1=RSform(tmp1);// 17.12.23
+ tmp=name+"=Reflectdata("+tmp1+","+RSform(textformat(symL,5))+")";//17.12.23
+ GLIST=append(GLIST,tmp);
+ );
+ if(Noflg<2,
+ if(isstring(Ltype),
+ Ltype=GetLinestyle(text(Noflg)+Ltype,name);
+ ,
+ if(Noflg==1,Ltype=0);
+ );
+ GCLIST=append(GCLIST,[name,Ltype,opcindy]);
+ );
+ PdL;
+);
+
+Mksegments():=Mksegments([]);
+Mksegments(options):=(
+//help:Mksegments();
+ regional(segstr,p,q,r,tmp1,tmp2,tmp3);
+ forall(allsegments(),seg,
+ str=text(inspect(seg,"definition"));
+ tmp1=indexof(str,"(");
+ tmp2=indexof(str,";");
+ tmp3=indexof(str,")");
+ p=substring(str,tmp1,tmp2-1);
+ q=substring(str,tmp2,tmp3-1);
+ Listplot([parse(p),parse(q)]);
+ );
+);
+
+Mkcircles():=Mkcircles([]);
+Mkcircles(options):=(
+//help:Mkcircles():
+ regional(seg,cir,str,p,q,r,tmp1,tmp2,tmp3,tmp4);
+ forall(allcircles(),cir,
+ str=text(inspect(cir,"definition"));
+ tmp1=indexof(str,"(");
+ tmp2=indexof(str,";");
+ tmp3=indexof(str,")");
+ tmp4=indexof(str,";",tmp2+1);
+ if(tmp4==0,
+ p=substring(str,tmp1,tmp2-1);
+ q=substring(str,tmp2,tmp3-1);
+ Circledata([parse(p),parse(q)]);
+ ,
+ p=substring(str,tmp1,tmp2-1);
+ q=substring(str,tmp2,tmp4-1);
+ r=substring(str,tmp4,tmp3-1);
+ Circledata([parse(p),parse(q),parse(r)]);
+ );
+ );
+);
+
+MakeRarg(arglist):=(
+ regional(str,tmpstr);
+ str="";
+ forall(arglist,
+ if(isstring(#),
+ tmpstr=Dq+RSslash(#)+Dq;
+ ,
+ tmpstr=textformat(#,6);
+ );
+ str=str+tmpstr+",";
+ );
+ str=substring(str,0,length(str)-1);
+ str;
+);
+
+Setax(arglist):=(
+//help:Setax(["l","x","e","y","n","O","sw"]);
+//help:Setax([7,"nw"]);
+ regional(tmp);
+ tmp=MakeRarg(arglist);
+ Com1st("Setax("+tmp+")");
+);
+
+Htickmark(arglist):=(
+//help:Htickmark([1,"1",2,"sw","2"]);
+ regional(tmp);
+ tmp="";
+ tmp=MakeRarg(arglist);
+ Com2nd("Htickmark("+tmp+")");
+);
+
+Vtickmark(arglist):=(
+//help:Vtickmark([1,"1",2,"sw","2"]);
+ regional(tmp);
+ tmp=MakeRarg(arglist);
+ Com2nd("Vtickmark("+tmp+")");
+);
+
+Vtick(py):=Vtick(py,MARKLEN,[]);
+Vtick(py,len):=Vtick(py,len,[]);
+Vtick(py,len,options):=(
+//help:Vtick(1,0.1,options);
+ regional(tmp,tmp1,tmp2);
+ tmp="v"+text(round(py*100));
+ tmp=replace(tmp,"-","m");
+ tmp1=[0-len/2,py];
+ tmp2=[0+len/2,py];
+ Listplot(tmp,[tmp1,tmp2],options);
+);
+
+Htick(px):=Htick(px,MARKLEN,[]);
+Htick(px,len):=Htick(px,len,[]);
+Htick(px,lenorg,options):=(
+//help:Htick(-1,0.1,options);
+ regional(len,tmp,tmp1,tmp2);
+ tmp=LLcrd([0,lenorg]);
+ len=tmp_2;
+ tmp="h"+text(round(px*100));
+ tmp=replace(tmp,"-","m");
+ tmp1=[px,0-len/2];
+ tmp2=[px,0+len/2];
+ Listplot(tmp,[tmp1,tmp2],options);
+);
+
+Drwxy():=(
+//help:Drwxy();
+ Com2nd("Drwxy()");
+ Addax(0); // 16.01.21
+);
+
+Drwpt(pstr):=Drawpoint(pstr);
+Drwpt(ptlist,nn):=( // 16.03.05 from
+//help:Drwpt(A);
+//help:Drwpt("[1,1],0");
+//help:Drwpt(A,0);
+//help:Drwpt([1,2],0);
+ Drawpoint(ptlist,nn);
+);
+Drawpoint(pstr):=(
+ if(isstring(pstr),
+ println("Drwpt : "+pstr);
+ Com2nd("Drwpt("+pstr+")");
+ ,
+ Drawpoint(pstr,1);
+ );
+);
+Drawpoint(ptlistorg,nn):=(
+ regional(ptlist,thick,tmp,tmp1);
+ println("Drwpt : "+text(ptlistorg));
+ if(islist(ptlistorg),
+ if(MeasureDepth(ptlistorg)==1,
+ ptlist=ptlistorg
+ ,
+ ptlist=[ptlistorg]
+ );
+ ,
+ ptlist=[ptlistorg]
+ );
+ thick=PenThick/PenThickInit;// 16.04.09 from
+ tmp1=max(TenSize/TenSizeInit,1)/8;
+ Setpen(tmp1); // 16.04.09 until
+ forall(ptlist,
+ tmp=textformat(#,5)+","+text(nn);
+ Com2nd("Drwpt("+tmp+")"); // 16.04.09
+ );
+ Setpen(thick); // 16.04.09
+);// 16.03.05 until
+
+Addax(param):=(
+//help:Addax(0);
+ ADDAXES=textformat(param,5);
+);
+
+Expr(Pt,Dr,St):=Expr([Pt,Dr,St]);
+Expr(list):=Expr(list,[]);
+Expr(listorg,options):=( //16.10.09
+//help:Expr([A,"e","f(x)=x^2"]);
+ regional(list,str,tmp,tmp1,tmp2);
+ list=listorg;
+ forall(1..round(length(list)/3),
+ str=list_(3*#);
+ if(!isstring(str),str=format(str,5));
+ str="$"+str+"$";
+ list_(3*#)=str;
+ );
+ Letter(list,options);
+);
+
+Letter(Pt,Dr,St):=Letter([Pt,Dr,St]);
+Letter(list):=Letter(list,[]);
+Letter(list,options):=(
+//help:Letter([C,"c","Graph of f(x)"]);
+ regional(Nj,Pos,Dir,Str,Off,Dmv,Xmv,Ymv,Noflg,opcindy,
+ opL,aln,sz,clr,bld,ita,tmp,tmp1,tmp2);
+ tmp=Divoptions(options);
+ Noflg=tmp_2;
+ opL=select(options,indexof(#,"->")>0); //16.10.09from
+ tmp=select(opL,indexof(#,"color"));
+ size=12;
+ clr=[0,0,0];
+ bld=false;
+ ita=false;
+ aln="left";
+ forall(opL,
+ tmp=indexof(#,"->");
+ tmp1=removespace(substring(#,0,tmp-1));
+ tmp2=substring(#,tmp+1,length(#));
+ if(tmp1=="size",sz=parse(tmp2));
+ if(tmp1=="color",clr=parse(tmp2));
+ if(tmp1=="bold",bld=parse(tmp2));
+ if(tmp1=="ita",ita=parse(tmp2));
+ );//16.10.09until
+ Off=-4;
+ Dmv=8;
+ Nj=1;
+ while(Nj+2<=length(list),
+// Pos=textformat(list_Nj,5);
+ Pos=list_Nj;
+ Dir=list_(Nj+1);
+ tmp=indexof(Dir,"s")+indexof(Dir,"n");//16.10.19from
+ if(tmp>0,
+ tmp=indexof(Dir,"w")+indexof(Dir,"e");
+ if(tmp==0,
+ Dir="c"+Dir;//16.10.08
+ );
+ );//16.10.19until
+ Str=list_(Nj+2);
+ if(!isstring(Str),Str=format(Str,5)); // 16.09.30,10.09
+ tmp=replace(Str,".xy","");
+ tmp=replace(tmp,".x","(1)");
+ Str=replace(tmp,".y","(2)");
+ Str=RSslash(Str); // 17.09.24
+ Str=replace(Str,"`","'");//180303
+ tmp=Dq+","+Dq+Str+Dq+")";
+ if(Noflg==0,
+ Com2nd("Letter("+Lcrd(Pos)+","+Dq+Dir+tmp);//16.10.10
+ );
+ if(Noflg<2,
+ Xmv=0;//16.10.13
+ Ymv=-4;
+ if(indexof(Dir,"n")>0,
+ Ymv=Dmv/2;
+ );
+ if(indexof(Dir,"s")>0,
+ Ymv=-Dmv*3/2;//16.10.13
+ );
+ if(indexof(Dir,"e")>0,
+ Xmv=Dmv/2;
+ Off=0;
+ aln="left";
+ );
+ if(indexof(Dir,"w")>0,
+ Xmv=-Dmv/2;
+ Off=0; // 16.09.30from
+ aln="right";
+ );
+ if(indexof(Dir,"c")>0,
+ Xmv=0;//16.10.13
+ Off=0;
+ if(Ymv==0,Ymv=-4);//16.10.08
+ aln="mid"; // 16.09.30until
+ );
+ Str=list_(Nj+2); //17.10.17
+ drawtext(Pcrd(Pos),Str,offset->[Off+Xmv,Off+Ymv],
+ size->sz,color->clr,align->aln,bold->bld,italics->ita);//16.10.09
+ );
+ Nj=Nj+3;
+ );
+);
+
+Letterrot(pt,dir,str):=Letterrot(pt,dir,0,0,str);
+Letterrot(pt,dir,movstr,str):=(
+//help:Letterrot(C,B-A,"AB"):
+//help:Letterrot(C,B-A,0,5,"AB"):
+//help:Letterrot(C,B-A,"t0n5","AB"):
+ regional(tmov,nmov,tmp,tmp1,tmp2);
+ tmp1=indexof(movstr,"t");
+ tmp2=indexof(movstr,"n");
+ if(tmp1>0,
+ if(tmp2>0,tmp=tmp2-1,tmp=length(movstr));
+ tmov=parse(substring(movstr,tmp1,tmp));
+ ,
+ tmov=0;
+ );
+ if(tmp2>0,
+ nmov=parse(substring(movstr,tmp2,length(movstr)));
+ ,
+ nmov=0;
+ );
+ Letterrot(pt,dir,tmov,nmov,str);
+);
+Letterrot(pt,dir,tmov,nmov,str):=(
+ regional(tmp);
+ Letter([pt,"c",str],["notex"]);
+ tmp=replace(str,"\","\\"); //17.10.18
+ Com2nd("Letterrot("+pt+","+dir+","+tmov+","+nmov+",'"+tmp+"')");
+);
+
+Exprrot(pt,dir,str):=Exprrot(pt,dir,0,0,str);
+Exprrot(pt,dir,movstr,str):=(
+//help:Exprrot(C,B-A,"d"):
+//help:Exprrot(C,B-A,0,5,"d"):
+//help:Exprrot(C,B-A,"t0n5","d"):
+ regional(tmov,nmov,tmp,tmp1,tmp2);
+ tmp1=indexof(movstr,"t");
+ tmp2=indexof(movstr,"n");
+ if(tmp1>0,
+ if(tmp2>0,tmp=tmp2-1,tmp=length(movstr));
+ tmov=parse(substring(movstr,tmp1,tmp));
+ ,
+ tmov=0;
+ );
+ if(tmp2>0,
+ nmov=parse(substring(movstr,tmp2,length(movstr)));
+ ,
+ nmov=0;
+ );
+ Exprrot(pt,dir,tmov,nmov,str);
+);
+Exprrot(pt,dir,tmov,nmov,str):=(
+ regional(tmp);
+ Expr([pt,"c",str],["notex"]);
+ tmp=replace(str,"\","\\"); //17.10.18
+ Com2nd("Exprrot("+pt+","+dir+","+tmov+","+nmov+",'"+tmp+"')");
+);
+
+Putslider(ptstr,p1,p2):=Slider(ptstr,p1,p2);
+Slider(ptstr,p1,p2):=( //17.04.11
+//help:Slider("A-C-B",[-3,0],[3,0]);
+ regional(pA,pB,pC,seg,sname,Alpha,tmp,tmp1);
+ tmp=indexall(ptstr,"-");
+ pA=substring(ptstr,0,tmp_1-1);
+ pC=substring(ptstr,tmp_1,tmp_2-1);
+ pB=substring(ptstr,tmp_2,length(ptstr));
+ seg=pA+pB;
+ Alpha="ABCDEFGHIJKLMNOPQRSTUVWXYZ";
+ sname="";
+ forall(1..(length(seg)),
+ tmp=substring(seg,#-1,#);
+ tmp1=indexof(Alpha,tmp);
+ if(tmp1>0,
+ sname=sname+unicode(text(tmp1+96),base->10);
+ ,
+ sname=sname+tmp;
+ );
+ );
+ Putpoint(pA,p1);
+ Putpoint(pB,p2);
+ Listplot([parse(pA),parse(pB)],["notex","color->[0,0.4,0.4]","size->2"]);
+// create([sname],"Segment",[parse(pA),parse(pB)]);
+// tmp2=Listplot("",[p1,p2],["nodata"]);
+ Putonseg(pC,parse("sg"+pA+pB));
+// create([pC],"PointOn",[parse(sname),0.5]);
+);
+
+Putpoint(name,Pt):=Putpoint(name,Pt,Pt);
+Putpoint(name,Ptinit,Pt):=(
+//help:Putpoint("A",[1,2],[1,A.y]);
+ regional(ptstr);
+ ptstr=apply(allpoints(),#.name);//16.10.06
+ if(!contains(ptstr,name),
+ createpoint(name,Pcrd([Ptinit_1,Ptinit_2]));
+ ,
+ ptstr=name+".xy="+textformat(Pcrd(Pt),5);
+ parse(ptstr);
+ );
+);
+
+Bezierpt(t,ptlist,ctrlist):=(
+ regional(flg3,p0,p1,p2,p3,p4,p5,p6,p7,p8,p9);
+ p0=ptlist_1;
+ p3=ptlist_2;
+ p1=ctrlist_1;
+ if(length(ctrlist)==1,
+ p2=p3;
+ flg3=0;
+ ,
+ p2=ctrlist_2;
+ flg3=1;
+ );
+ if(length(p0)<3, // 15.02.08
+ p0=Lcrd(p0);
+ p3=Lcrd(p3);
+ p1=Lcrd(p1);
+ p2=Lcrd(p2);
+ );
+ p4=(1-t)*p0+t*p1;
+ p5=(1-t)*p1+t*p2;
+ p6=(1-t)*p2+t*p3;
+ p7=(1-t)*p4+t*p5;
+ p8=(1-t)*p5+t*p6;
+ p9=(1-t)*p7+t*p8;
+ if(flg3==0,p7,p9);
+);
+
+Bezier(ptctrlist):=BezierCurve(ptctrlist_3,ptctrlist_1,ptctrlist_2,[]);
+Bezier(ptctrlist,options):=BezierCurve(ptctrlist_3,ptctrlist_1,ptctrlist_2,options);
+Bezier(nm,ptlist,ctrlist):=BezierCurve(nm,ptlist,ctrlist,[]);
+Bezier(nm,ptlist,ctrlist,options):=BezierCurve(nm,ptlist,ctrlist,options);
+BezierCurve(nm,ptlist,ctrlist):=BezierCurve(nm,ptlist,ctrlist,[]);
+BezierCurve(nm,ptlistorg,ctrlistorg,options):=(
+//help:Bezier("1",[A,D],[B,C]);
+//help:Bezier(options=["Num=10"]);
+ regional(name,Ltype,Noflg,opstr,opcindy,Num,
+ ptlist,ctrlist,tmp,tmp1,tmp2,ii,st,out,list);
+ name="bz"+nm;
+ tmp=Divoptions(options);
+ Ltype=tmp_1;
+ Noflg=tmp_2;
+ opstr=tmp_(length(tmp)-1);
+ opcindy=tmp_(length(tmp));
+ Num=10;
+ tmp1=tmp_5;
+ forall(tmp1, // 14.12.31
+ if(substring(#,0,1)=="N",
+ tmp2=indexof(#,"=");
+ Num=parse(substring(#,tmp2,length(#)));
+ opstr=opstr+","+Dq+#+Dq;
+ );
+ );
+ ptlist=apply(ptlistorg,Lcrd(#)); // 16.08.16
+ ctrlist=[]; // 14.12.31
+ if(length(ctrlistorg)==length(ptlist)-1,
+ forall(ctrlistorg,tmp1,
+ if(MeasureDepth(tmp1)==0,tmp=[tmp1],tmp=tmp1);
+ tmp=apply(tmp,Lcrd(#)); // 16.08.16
+ ctrlist=append(ctrlist,tmp);
+ );
+ ,
+ forall(1..(length(ptlist)-1),ii,
+ tmp=ctrlistorg_((2*ii-1)..(2*ii));
+ tmp=apply(tmp,Lcrd(#)); // 16.08.16
+ ctrlist=append(ctrlist,tmp);
+ );
+ );
+ if(!islist(Num),
+ Num=apply(ctrlist,Num);
+ );
+ list=[];
+ forall(1..(length(ptlist)-1),ii,
+ tmp1=ptlist_(ii..(ii+1));
+ tmp2=ctrlist_ii;
+ if(ii==1,st=0,st=1);
+ forall(st..Num_ii,
+ tmp=Bezierpt(#/Num_ii,tmp1,tmp2);
+ list=append(list,tmp);
+ );
+ );
+ if(Noflg<3,
+ println("generate Bezier "+name);
+ out=apply(list,Pcrd(#));
+ tmp=name+"="+textformat(out,5);
+ parse(tmp);
+ tmp1=textformat(ptlist,5);
+ tmp1=RSform(tmp1,2); //17.12.23
+ tmp2=textformat(ctrlist,5);
+ tmp2=RSform(tmp2,3); //17.12.23
+ GLIST=append(GLIST,name+"=Bezier("+tmp1+","+tmp2+opstr+")");
+ );
+ if(Noflg<2,
+ if(isstring(Ltype),
+ Ltype=GetLinestyle(text(Noflg)+Ltype,name);
+ ,
+ if(Noflg==1,Ltype=0);
+ );
+ GCLIST=append(GCLIST,[name,Ltype,opcindy]);
+ );
+ list;
+);
+
+Readcsvsla(fname):=Readplotdigdata(fname,[]);
+Readcsvsla(fname,options):=Readplotdigdata(fname,options);
+Readplotdigdata(fname):=Readplotdigdata(fname,[]);
+Readplotdigdata(fname,options):=(
+ regional(fsc,mv,cmdall,dataL,nd,npt,ptdata,ii,tmp,tmp1,tmp2,tmp3);
+ tmp=Divoptions(options);
+ tmp1=tmp_6;
+ sc=1;//10;
+ mv=[0,0];//[5,5];
+ forall(tmp1,
+ if(!islist(#),sc=#,mv=#);
+ );
+ if(indexof(fname,".")>0,
+ tmp=load(fname);
+ ,
+ tmp=load(fname+".txt");
+ );
+ cmdall=tokenize(tmp,"//");
+ dataL=[];
+ forall(2..length(cmdall),ii,
+ tmp1=parse("["+cmdall_ii+"]");
+ dataL=append(dataL,tmp1);
+ );
+ if(length(dataL_(length(dataL)))<2,
+ dataL=dataL_(1..(length(dataL)-1));
+ );
+ nd=length(dataL_1)/2;
+ npt=length(dataL);
+ ptdata=[];
+ forall(1..nd,ii,
+ tmp3=[];
+ forall(1..npt,
+ tmp1=dataL_#_(2*ii-1);
+ tmp2=dataL_#_(2*ii);
+ if(isreal(tmp1),
+ tmp3=append(tmp3,[tmp1,tmp2]);
+ );
+ );
+ ptdata=append(ptdata,tmp3);
+ );
+ tmp1=[];
+ forall(ptdata,
+ tmp=#/sc;
+ tmp=Translatedata("1",[tmp],-mv,["nodata"]);
+ tmp1=append(tmp1,tmp);
+ );
+ ptdata=tmp1;
+ ptdata;
+);
+
+Putbezierdata(name,ptL):=Putbezierdata(name,ptL,[]);
+Putbezierdata(name,ptL,options):=(
+ regional(psize,Deg,tmp,tmp1,tmp2,p1,p2,pts,ctrs);
+ tmp=Divoptions(options);
+ psize=3;
+ Deg=3;
+ tmp1=tmp_5;
+ forall(tmp1,
+ if(substring(#,0,1)=="D",
+ tmp=indexof(#,"=");
+ Deg=parse(substring(#,tmp,length(#)));
+ );
+ if(substring(#,0,1)=="S",
+ tmp=indexof(#,"=");
+ psize=parse(substring(#,tmp,length(#)));
+ );
+ );
+ pts=[];
+ ctrs=[];
+ forall(1..length(ptL),
+ p2=ptL_#; // 16.08.16
+ if(ispoint(p2),
+ tmp1=text(p2);
+ ,
+ tmp1=name+text(#);
+ Putpoint(tmp1,p2,Lcrd(parse(tmp1))); // 16.08.16
+ );
+ inspect(parse(tmp1),"ptsize",psize);
+ pts=append(pts,parse(tmp1));
+ inspect(parse(tmp1),"color",4);
+ if(#>1,
+ p1=Lcrd(ptL_(#-1)); // 16.08.16
+ p2=Lcrd(ptL_#); // 16.08.16
+ if(Deg==3,
+ tmp=(2*p1+p2)/3;
+ tmp1=name+"p"+text(#-1);
+ Putpoint(tmp1,tmp,Lcrd(parse(tmp1))); // 16.08.16
+ inspect(parse(tmp1),"labeled",false); //15.01.22
+ Letter([parse(tmp1),"ne",tmp1],["notex"]); //15.01.22
+ inspect(parse(tmp1),"ptsize",psize);
+ inspect(parse(tmp1),"color",3);
+ tmp=(p1+2*p2)/3;
+ tmp2=name+"q"+text(#-1);
+ Putpoint(tmp2,tmp,Lcrd(parse(tmp2))); // 16.08.16
+ inspect(parse(tmp2),"labeled",false); //15.01.22
+ Letter([parse(tmp2),"ne",tmp2],["notex"]); //15.01.22
+ inspect(parse(tmp2),"ptsize",psize);
+ inspect(parse(tmp2),"color",3);
+ ctrs=append(ctrs,[parse(tmp1),parse(tmp2)]);
+ ,
+ tmp=(p1+p2)/2;
+ tmp1=name+"p"+text(#-1);
+ Putpoint(tmp1,tmp,Lcrd(parse(tmp1))); // 16.08.16
+ inspect(parse(tmp1),"labeled",false); //15.01.22
+ Letter([parse(tmp1),"ne",tmp1],["notex"]); //15.01.22
+ inspect(parse(tmp1),"ptsize",psize);
+ inspect(parse(tmp1),"color",3);
+ ctrs=append(ctrs,[parse(tmp1)]);
+ );
+ );
+ );
+ [pts,ctrs,name];
+);
+
+Bezierstart(n):=( // 2016.02.26
+ BezierNumber=n;
+);
+
+Mkbezierptcrv(ptdata):=Mkbezierptcrv(ptdata,[]);
+Mkbezierptcrv(ptdata,options):=(
+ //help:Mkbezierptcrv([A,B,C,D]);
+ //help:Mkbezierptcrv([[A,B],[C,D]]);
+ //help:Mkbezierptcrv(options=["Num=10"]);
+ // global BezierNumber
+ regional(ptlist,Out,tmp,tmp1,tmp2);
+ if(isstring(ptdata),
+ ptlist=Readcsvsla(ptdata,options);
+ ,
+ ptlist=ptdata;
+ );
+ if(MeasureDepth(ptlist)==1,ptlist=[ptlist]);
+ Out=[];
+ forall(1..length(ptlist),
+ tmp=floor((BezierNumber-1)/26);// 15.02.23
+ if(tmp==0,tmp="",tmp=text(tmp));
+ tmp2=mod(BezierNumber,26);
+ if(tmp2==0,tmp2=26);
+ tmp1=unicode(text(96+tmp2),base->10)+tmp;// 15.03.11
+ tmp2=Putbezierdata(tmp1,ptlist_#,options);
+ Bezier(tmp2,options);
+ BezierNumber=BezierNumber+1;
+ Out=append(Out,tmp2_(1..2));
+ );
+ Out;
+);
+
+Mkbeziercrv(nm,ptctrL):=Mkbeziercrv(nm,ptctrL,[]);
+Mkbeziercrv(nm,ptctrL,options):=(
+ //help:Mkbeziercrv("1",[[A,B,C,D],[[P,Q],[R,S],T]]);
+ regional(ptctrLL,name,ptlist,ctrlist,tmp,tmp1,tmp2);
+ if(MeasureDepth(ptctrL)==2,ptctrLL=[ptctrL],ptctrLL=ptctrL);
+ forall(1..length(ptctrLL),
+ name=nm+text(#);
+ ptlist=ptctrLL_#_1;
+ ctrlist=ptctrLL_#_2;
+ Bezier(nm,ptlist,ctrlist,options); // 17.01.06
+ );
+);
+
+Writebezier():=Writebezier(Fhead,"all");
+Writebezier(head):=Writebezier(head,"all");
+Writebezier(head,seL):=(
+//help:Writebezier(file);
+//help:Writebezier(file,"acd");
+ regional(bz,dt,name,tmp,tmp1,tmp2);
+ bz=select(GLIST,indexof(#,"=Bezier")>0);
+ tmp1=[]; // 16.04.22from
+ if(seL!="all",
+ forall(1..length(seL),
+ tmp=substring(seL,#-1,#);
+ tmp=select(bz,indexof(#,"bz"+tmp)>0);
+ tmp1=concat(tmp1,tmp);
+ );
+ bz=tmp1;// 16.04.22until
+ );
+ dt=[head+"n",[[length(bz),0]]];
+ forall(1..length(bz),
+ tmp=indexof(bz_#,"=");
+ name=substring(bz_#,0,tmp-1);
+ tmp=indexof(bz_#,","+Dq);
+ if(tmp>0,
+ tmp1=substring(bz_#,0,tmp-1)+")";
+ ,
+ tmp1=bz_#;
+ );
+ tmp1=replace(tmp1,"Bezier(","[");
+ tmp1=replace(tmp1,"list(","[");
+ tmp1=replace(tmp1,")","]");
+ tmp1=replace(tmp1,",",".xy,");
+ tmp1=replace(tmp1,"]",".xy]");
+ tmp1=replace(tmp1,".xy,[",",[");
+ tmp1=replace(tmp1,"].xy","]");
+ tmp1=replace(tmp1,name,head+text(#));
+ parse(tmp1);
+ tmp=parse(head+text(#)+"_1");
+ dt=concat(dt,[head+text(#)+"k",tmp]);
+ tmp=parse(head+text(#)+"_2");
+ dt=concat(dt,[head+text(#)+"c",tmp]);
+ );
+ WriteOutData(head+".txt",dt);
+ dt;
+);
+
+Readbezier(file):=Readbezier(file,[]);
+Readbezier(file,optionorg):=(
+//help:Readbezier("xsr");
+//help:Readbezier(options=["Num=10","nogeo"]);
+ regional(nn,options,stL,geo,nc,alpha,out,tmp,tmp1,tmp2,tmp3);
+ options=optionorg;
+ tmp=Divoptions(options);
+ stL=tmp_7;
+ geo=0;
+ forall(stL,
+ tmp=Toupper(substring(#,0,1));
+ if(tmp=="G",geo=1);
+ options=remove(options,[#]);
+ );
+ ReadOutData(file);
+ tmp=file+"n_1_1";
+ nn=parse(tmp);
+ out=[];
+ forall(1..nn,nc,
+ tmp=file+text(nc);
+ tmp1=parse(tmp+"k");
+ tmp2=parse(tmp+"c");
+ if(MeasureDepth(tmp2)==1,tmp2=[tmp2]); // 16.04.22from
+ if(geo==1,
+ alpha="abcdefghijklmnopqrstuvwxyz";
+ forall(1..length(tmp1),
+ tmp="k"+BezierNumber+"n"+text(nc)+substring(alpha,#-1,#);
+ Putpoint(tmp,tmp1_#,parse(tmp+".xy"));
+ inspect(parse(tmp),"labeled",false);
+ inspect(parse(tmp),"ptsize",3);
+ tmp1_#=parse(tmp+".xy");
+ );
+ forall(1..length(tmp2),
+ tmp="c"+BezierNumber+"n"+text(nc)+substring(alpha,#-1,#)+"1";
+ Putpoint(tmp,tmp2_#_1,parse(tmp+".xy"));
+ inspect(parse(tmp),"labeled",false);
+ inspect(parse(tmp),"color",4);
+ inspect(parse(tmp),"ptsize",3);
+ tmp2_#_1=parse(tmp+".xy");
+ tmp="c"+BezierNumber+"no"+text(nc)+substring(alpha,#-1,#)+"2";
+ Putpoint(tmp,tmp2_#_2,parse(tmp+".xy"));
+ inspect(parse(tmp),"labeled",false);
+ inspect(parse(tmp),"color",4);
+ inspect(parse(tmp),"ptsize",3);
+ tmp2_#_2=parse(tmp+".xy");
+ );
+ BezierNumber=BezierNumber+1;
+ );
+ Bezier(file+text(nc),tmp1,tmp2,options);// 16.04.22until
+ out=append(out,"bz"+tmp);
+ );
+ out;
+);
+
+Ospline(nm,ptlist):=Ospline(nm,ptlist,[]);
+Ospline(nm,ptlist,options):=(
+//help:Ospline("1",ptlist,[options]);
+ regional(tmp,tmp1,tmp2,list,ptL,ctrL,name,closed,flg,
+ p0,p1,p2,p3,pQ,pR,cc,p01,p02,p11,p12,p21,p22,p31,p32);
+ name="o"+nm;
+ if(isstring(ptlist),list=parse(ptlist),list=ptlist);
+ if(|list_1-list_(length(list))|<10^(-6),closed=1,closed=0);
+// list=apply(list,LLcrd(#));
+ ctrL=[];
+ forall(1..(length(list)-1),
+ flg=0;
+ p1=Lcrd(list_#); // 16.08.16
+ p2=Lcrd(list_(#+1)); // 16.08.16
+ if(#==1 % #==length(list)-1,
+ flg=1;
+ if(closed==0,
+ pQ=(p1+2*p2)/3; // 15.09.21 // 16.08.16
+ pR=(2*p1+p2)/3; // 16.08.16
+ ctrL=append(ctrL,[pQ,pR]);
+ flg=2;
+ ,
+ if(#==1,
+ p0=Lcrd(list_(length(list)-1)); // 16.08.16
+ p3=Lcrd(list_(#+2)); // 16.08.16
+ ,
+ p0=Lcrd(list_(#-1)); // 16.08.16
+ p3=Lcrd(list_2); // 16.08.16
+ );
+ );
+ );
+ if(flg<=1,
+ if(flg==0,
+ p0=Lcrd(list_(#-1)); // 16.08.16
+ p3=Lcrd(list_(#+2)); // 16.08.16
+ );
+ tmp=1+sqrt((1+Dotprod(p2-p0,p3-p1)/|p2-p0|/|p3-p1|)/2);
+ cc=4*|p2-p1|/3/(|p2-p0|+|p3-p1|)/tmp;
+ pQ=p1+cc*(p2-p0); // 15.09.21 // 16.08.16
+ pR=p2+cc*(p1-p3); // 16.08.16
+ ctrL=append(ctrL,[pQ,pR]);
+ );
+ );
+// list=apply(list,LLcrd(#)); // 16.08.16
+// ctrL=apply(ctrL,LLcrd(#));
+ if(closed==0, // 15.09.21
+ p1=ctrL_2_1;
+ p2=Lcrd(list_2); // 16.08.16
+ pQ=p2+(p2-p1);
+ ctrL_1=[pQ];
+ tmp=length(ctrL);
+ tmp1=ctrL_(tmp-1);
+ p1=ctrL_(tmp-1)_2;
+ p2=Lcrd(list_(tmp)); // 16.08.16
+ pQ=p2+(p2-p1);
+ ctrL_tmp=[pQ];
+ );
+ Bezier("o"+nm,list,ctrL,options);
+);
+
+CRspline(nm,ptL):=CRspline(nm,ptL,[]);
+CRspline(nm,ptL,options):=(
+ // Catmull-Rom spline
+//help:CRspline("1",[A,B,C,A]);
+ regional(name,ptlist,ctrpts,eqL,opcindy,c,v,tmp,tmp1,tmp2,ctrlist,cflg);
+ name="crsp"+nm;
+ if(MeasureDepth(ptL)==1,tmp=[ptL],tmp=ptL);
+ ptlist=tmp_1;
+ if(length(tmp)==1,
+ cflg=1;
+ ,
+ cflg=0;
+ ctrpts=tmp_2;
+ );
+ c=1/6;
+ tmp=Divoptions(options);
+ eqL=tmp_5;
+ opcindy=tmp_(length(tmp)); // 15.03.05
+ forall(eqL,
+ if(substring(#,0,1)=="R",
+ tmp2=indexof(#,"=");
+ c=parse(substring(#,tmp2,length(#)));
+ );
+ );
+ ptlist=apply(ptlist,Lcrd(#)); // 16.08.16
+ ctrlist=[];
+ forall(1..(length(ptlist)-1),
+ if(#==1,
+ if(cflg==0,
+ tmp1=ctrpts_1;
+ ,
+ v=ptlist_2-ptlist_(length(ptlist)-1);
+ tmp1=ptlist_#+c*v;
+ );
+ ,
+ v=ptlist_(#+1)-ptlist_(#-1);
+ tmp1=ptlist_#+c*v;
+ );
+ if(#==length(ptlist)-1,
+ if(cflg==0,
+ tmp2=ctrpts_2;
+ ,
+ v=ptlist_2-ptlist_#;
+ tmp2=ptlist_(#+1)-c*v;
+ );
+ ,
+ v=ptlist_(#+2)-ptlist_#;
+ tmp2=ptlist_(#+1)-c*v;
+ );
+ tmp=select(options,indexof(text(#),"->")>0);
+ tmp=append(tmp,"notex"); //15.03.05
+ Pointdata(name+text(#),[tmp1,tmp2],tmp);
+ ctrlist=append(ctrlist,[tmp1,tmp2]);
+ );
+ Bezier(nm,ptlist,ctrlist,options);
+);
+
+Beziersmooth(nm,ptL):=Bzspline(nm,ptL,[]);
+//help:Beziersmooth("1",[A,B,C,A]);
+Beziersmooth(nm,ptL,options):=Bzspline(nm,ptL,options);
+Bzspline(nm,ptL):=Bzspline(nm,ptL,[]);
+Bzspline(nm,ptLorg,options):=(
+ // smooth bezier
+ regional(name,Eps,ptL,pt,pt1,pt2,pt3,npt,lstr,
+ tmp,tmp1,tmp2,cflg,ctrlist);
+ name="bzsp"+nm;
+ Eps=10^(-3);
+ ptL=apply(ptLorg,Lcrd(#)); // 16.08.16
+ if(|ptL_1-ptL_(length(ptL))|<Eps,cflg=1,cflg=0);
+ forall(2..length(ptL),
+ pt=ptL_#;
+ pt1=ptL_(#-1);
+ tmp1="C"+text(#-1)+"q";// 16.10.07
+ Putpoint(tmp1,(pt1+4*pt)/5,Lcrd(parse(tmp1))); // 16.08.16
+ );
+ forall(2..(length(ptL)-1),
+ if(#<length(ptL) % cflg==1,
+ lstr="c"+text(#);
+ pt=ptLorg_#; // 16.08.16
+ pt1=parse("C"+text(#-1)+"q");
+ create([lstr],"Join",[pt1,pt]);
+ tmp2="C"+text(#)+"p";
+ tmp=Append((2*pt.xy-pt1.xy),1);
+ create([tmp2],"PointOnLine",[parse(lstr),tmp]);
+ );
+ );
+ if(cflg==0,
+ pt=ptL_1;
+ pt1=ptL_2;
+ tmp1="C1p";
+ Putpoint(tmp1,(4*pt+pt1)/5,Lcrd(parse(tmp1))); // 16.08.16
+ );
+ if(cflg==1,
+ lstr="c1";
+ pt=ptLorg_1; // 16.08.16
+ pt1=parse("C"+text(length(ptL)-1)+"q");
+ create([lstr],"Join",[pt1,pt]);
+ tmp1="C1p";
+ tmp=Append((2*pt.xy-pt1.xy),1);
+ create([tmp1],"PointOnLine",[parse(lstr),tmp]);
+ );
+ ctrlist=[];
+ forall(1..(length(ptL)-1),
+ if(#>1 % cflg==1,
+ tmp1="c"+text(#);
+ inspect(parse(tmp1),"alpha",0.3);
+ );
+ tmp1="C"+text(#)+"p";
+ tmp2="C"+text(#)+"q";
+ inspect(parse(tmp1),"ptsize",3);
+ inspect(parse(tmp1),"color",3);
+ inspect(parse(tmp2),"ptsize",3);
+ inspect(parse(tmp2),"color",3);
+ tmp=[parse(tmp1),parse(tmp2)];
+ ctrlist=append(ctrlist,tmp);
+ );
+ Bezier(nm,ptL,ctrlist,options);
+ [ptL,ctrlist];
+);
+
+Beziersym(nm,ptL):=Bzsspline(nm,ptL,[]);
+Beziersym(nm,ptL,options):=Bzsspline(nm,ptL,options);
+Bzsspline(nm,ptL):=Bzsspline(nm,ptL,[]);
+Bzsspline(nm,ptLorg,options):=(
+ // smooth bezier with symmetric control points
+ regional(name,Eps,ptL,pt,pt1,pt2,pt3,npt,lstr,
+ tmp,tmp1,tmp2,cflg,ctrlist);
+ name="bzssp"+nm;
+ Eps=10^(-3);
+ ptL=apply(ptLorg,Lcrd(#)); // 16.08.16
+ if(|ptL_1-ptL_(length(ptL))|<Eps,cflg=1,cflg=0);
+ forall(2..length(ptL),
+ pt=ptL_#;
+ pt1=ptL_(#-1);
+ tmp1="C"+text(#-1)+"q";
+ Putpoint(tmp1,(pt1+4*pt)/5,Lcrd(parse(tmp1)));
+ );
+ forall(2..(length(ptL)-1),
+ if(#<length(ptL) % cflg==1,
+ pt=ptL_#;
+ pt1=parse("C"+text(#-1)+"q");
+ tmp2="C"+text(#)+"p=2*pt-pt1";
+ parse(tmp2);
+ );
+ );
+ if(cflg==0,
+ pt=ptL_1;
+ pt1=ptL_2;
+ Putpoint("C1p",(4*pt+pt1)/5,Lcrd(C1p)); // 16.08.16
+ inspect(C1p,"ptsize",3);
+ inspect(C1p,"color",3);
+ );
+ if(cflg==1,
+ pt=ptL_1;
+ pt1=Lcrd(parse("C"+text(length(ptL)-1)+"q")); // 16.08.16
+ tmp1="Putpoint("+Dq+"C1p"+Dq+",2*pt-pt1)"; // 16.08.16
+ parse(tmp1);
+ );
+ ctrlist=[];
+ forall(1..(length(ptL)-1),
+ tmp1="C"+text(#)+"p";
+ tmp2="C"+text(#)+"q";
+ inspect(parse(tmp2),"ptsize",3);
+ inspect(parse(tmp2),"color",3);
+ tmp=[parse(tmp1),parse(tmp2)];
+ ctrlist=append(ctrlist,tmp);
+ );
+ Bezier(nm,ptL,ctrlist,options);
+ [ptL,ctrlist];
+);
+
+Listbspline2bz(listorg):=(
+ regional(Eps,list,pcl,ptl,ctrl,k);
+ Eps=10^(-3);
+ list=apply(listorg,Lcrd(#)); // 16.08.16
+ k=length(list);
+ if(|list_1-list_k|>Eps,
+ pcl=list;
+ pcl_1=2*list_1-list_2;
+ pcl_k=2*list_k-list_(k-1);
+ ,
+ pcl=concat(list,[list_2]);
+ );
+ ctrl=apply(2..(length(pcl)-1),[pcl_#]);
+ ptl=apply(1..(length(pcl)-1),(pcl_#+pcl_(#+1))/2);
+ [ptl,ctrl];
+);
+
+Bspline(nm,ctrL):=Bspline(nm,ctrL,[]);
+Bspline(nm,ctrL,options):=(
+//help:Bspline("",[A,B,C]);
+ regional(list,tmp);
+ list=Listbspline2bz(ctrL);
+ tmp=BezierCurve("b"+nm,list_1,list_2,options);
+ tmp;
+);
+
+MeetCurve(Crv,Xorg,Yorg):=(
+ regional(Cv,tmp,tmp1,tmp2,X0,Y0,x1,x2,y1,y2,Ylist,Ban,Tate);
+ if(isstring(Crv),Cv=parse(Crv),Cv=Crv);
+ if(MeasureDepth(Cv)==2,Cv=Cv_1);
+ Cv=apply(Cv,LLcrd(#)); // 14.12.18
+ while(length(Cv)==1,
+ Cv=Cv_1;
+ );
+ Cv=apply(Cv,Lcrd(#));
+ tmp1=min(apply(Cv,#_1));
+ tmp2=max(apply(Cv,#_1));
+ if(isstring(Xorg),X0=parse(Xorg),X0=Xorg);
+ if(isstring(Yorg),Y0=parse(Yorg),Y0=Yorg);
+ if(X0<tmp1,
+ X0=tmp1;
+ ,
+ if(X0>tmp2,
+ X0=tmp2;
+ );
+ );
+ tmp1=select(
+ 1..(length(Cv)-1),Cv_#_1<=X0 & X0<=Cv_(#+1)_1);
+ tmp2=select(
+ 1..(length(Cv)-1),Cv_#_1>=X0 & X0>=Cv_(#+1)_1);
+ tmp2=remove(tmp2,common(tmp2,tmp1));
+ Ban=concat(tmp1,tmp2);
+ Tate=select(Ban,
+ abs(Cv_#_1-Cv_(#+1)_1)<=
+ 10^(-2)*abs(Cv_#_2-Cv_(#+1)_2)
+ );
+ Ban=remove(Ban,Tate);
+ Ylist=[];
+ forall(Ban,
+ tmp=Cv_#;
+ x1=tmp_1; y1=tmp_2;
+ tmp=Cv_(#+1);
+ x2=tmp_1; y2=tmp_2;
+ tmp=((x2-X0)*y1+(X0-x1)*y2)/(x2-x1);
+ Ylist=append(Ylist,tmp);
+ );
+ forall(Tate,
+ tmp=Cv_#;
+ x1=tmp_1; y1=tmp_2;
+ tmp=Cv_(#+1);
+ x2=tmp_1; y2=tmp_2;
+ tmp1=min([y1,y2]);
+ tmp2=max([y1,y2]);
+ if(Y0<tmp1,
+ tmp=tmp1;
+ ,
+ if(Y0>tmp2,
+ tmp=tmp2;
+ ,
+ tmp=Y0;
+ );
+ );
+ Ylist=append(Ylist,tmp);
+ );
+ tmp=sort(Ylist,abs(#_1-Y0));
+ [X0,tmp_1];
+);
+
+PutonLine(name,p1,p2):=PutonLine(name,p1,p2,[]);
+PutonLine(name,p1org,p2org,options):=(
+//help:PutonLine("C","sgAB");
+//help:PutonLine("C",pA,pB);
+ regional(par,p1,p2,dx,dy,tmp,tmp1,tmp2);
+ par=0.5;
+ tmp=Divoptions(options);
+ if(length(tmp_6)>0,
+ par=tmp_6_1;
+ );
+ p1=Lcrd(p1org);//16.10.11from
+ p2=Lcrd(p2org);
+ dx=p2_1-p1_1;
+ dy=p2_2-p1_2;
+ tmp1=(1-par)*p1+par*p2;
+ if(abs(dx)>abs(dy),
+ tmp=name+".x";
+ tmp2="["+tmp+",dy/dx*("+tmp+"-p1_1)+p1_2]";//16.10.11until
+ Putpoint(name,tmp1,parse(tmp2));
+ ,
+ if(abs(dy)>0,
+ tmp=name+".y";
+ tmp2="[dx/dy*("+tmp+"-p1.y)+p1_1,"+tmp+"]";
+ Putpoint(name,tmp1,parse(tmp2));
+ ,
+ tmp2=p1;//16.10.11
+ Putpoint(name,tmp1,tmp2);
+ );
+ );
+);
+
+PutonSeg(name,sgstr):=(
+ regional(seg,p1,p2);
+ if(isstring(sgstr),seg=parse(sgstr),seg=sgstr);
+ PutonSeg(name,LLcrd(seg_1),LLcrd(seg_2));
+);
+PutonSeg(name,p1,p2):=PutonSeg(name,p1,p2,[]);
+PutonSeg(name,p1org,p2org,options):=(
+//help:PutonSeg("C","sgAB");
+//help:PutonSeg("C",pA,pB);
+ regional(par,dx,dy,p,tmp,tmp1,tmp2);
+ par=0.5;
+ tmp=Divoptions(options);
+ if(length(tmp_6)>0,
+ par=tmp_6_1;
+ );
+ p1=Lcrd(p1org);//16.10.11from
+ p2=Lcrd(p2org);
+ PutonLine(name,p1,p2,[par]);
+ dx=p2_1-p1_1;
+ dy=p2_2-p1_2;
+ p=parse(name+".xy");
+ p=LLcrd(p);
+ if(abs(dx)>abs(dy) & (p_1-p1_1)*(p_1-p2_1)>0,
+ if(|p-p1|<|p-p2|,
+ parse(name+".xy=Pcrd(p1)");
+ ,
+ parse(name+".xy=Pcrd(p2)");
+ );
+ );
+ if(abs(dx)<abs(dy) & (p_2-p1_2)*(p_2-p2_2)>0,
+ if(|p-p1|<|p-p2|,
+ parse(name+".xy=Pcrd(p1)");
+ ,
+ parse(name+".xy=Pcrd(p2)");//16.10.11until
+ );
+ );
+);
+
+PutonCurve(pn,crv):=PutonCurve(pn,crv,[]);
+PutonCurve(pn,crv,options):=(
+//help:PutonCurve("A","gr1");
+ regional(Pmt,pstr,optionL,leftlim,rightlim,tmp,tmp1,Flg,Msg);
+ if(!islist(options),optionL=[options],optionL=options);
+ leftlim=XMIN;
+ rightlim=XMAX;
+ Flg=0;
+ Msg="y";
+ forall(optionL,
+ if(isstring(#), // 16.02.10 from
+ tmp=indexof(#,"=");
+ tmp1=Toupper(substring(#,tmp,tmp+1));
+ if(tmp1=="N", Msg="n"); // 16.02.10 until
+ ,
+ if(Flg==0,
+ leftlim=#;
+ Flg=Flg+1;
+ ,
+ rightlim=#;
+ );
+ );
+ );
+ Pmt=MeetCurve(crv,leftlim,0);
+ pstr=apply(allpoints(),textformat(#,5)); // 15.04.07
+ if(!contains(pstr,pn),
+ createpoint(pn,Pcrd(Pmt));
+ ,
+ tmp1=parse(pn+".x");
+ if(tmp1< leftlim % tmp1>rightlim,
+ if(tmp1< leftlim,tmp= leftlim, tmp=rightlim);
+ Pmt=MeetCurve(crv,textformat(tmp,5),pn+".y");
+ ,
+ Pmt=MeetCurve(crv,pn+".x",pn+".y");
+ );
+ ptstr=pn+".xy="+textformat(Pcrd(Pmt),5)+";";
+ parse(ptstr);
+ );
+ if(Msg=="y",
+ println("Put "+pn+" on Curve "+text(crv));
+ );
+);
+
+CrossPoint(name,Crv1,Crv2,range):=(
+ regional(Mx1,Mx2,Mx3,tmp,Crs1,Crs2,Crs3,Crs4,df1,df2);
+ Mx1=range_1; Mx2=range_2;
+ repeat(15,
+ Mx3=(Mx1+Mx2)/2;
+ Crs1=MeetCurve(Crv1,Mx1,0);
+ Crs2=MeetCurve(Crv2,Mx1,0);
+ Crs3=MeetCurve(Crv1,Mx3,0);
+ Crs4=MeetCurve(Crv2,Mx3,0);
+ df1=Crs1_2-Crs2_2;
+ df2=Crs3_2-Crs4_2;
+ if((df1>0 & df2>0) % (df1<0 & df2<0),
+ Mx1=Mx3;
+ ,
+ Mx2=Mx3;
+ );
+ );
+ Putpoint(name,Crs1);
+);
+
+Setscaling(sc):=(
+//help:Setscaling(3);
+ SCALEX=1;
+ SCALEY=sc;
+ Com0th("Setscaling("+sc+")");
+ Setwindow("Msg=no");
+);
+
+Periodfun(defL,rep):=Periodfun(defL,rep,[]);
+Periodfun(defL,rep,optionorg):=( // 16.11.24
+//help:Periodfun(["0",[-1,0],"1",1,[0,1],1],2(num of repetition),options);
+//help:Periodfun(options=["Con=y"]);
+//help:Periodfun(defL=[function string, range, devision number,...]);
+ regional(nn,fun,range,num,options,nr,maxfun,
+ tmp,tmp1,tmp2,eqL,connect,minx,maxx,pdata,Eps,prept);
+ options=optionorg;
+ tmp=Divoptions(options);
+ eqL=tmp_5;
+ connect="Y";
+ forall(eqL,
+ tmp=indexof(#,"=");
+ tmp2=substring(#,tmp,tmp+1);
+ tmp=substring(#,0,3);
+ if(Toupper(tmp)=="CON",
+ connect=Toupper(tmp2);
+ options=remove(options,[#]);
+ );
+ );
+ minx=10000;
+ maxx=-10000;
+ mxfun="";
+ pdata=[];
+ forall(1..(length(defL)/3),nn,
+ fun=defL_(3*nn-2);
+ range=defL_(3*nn-1);
+ tmp1=if(isstring(range_1),parse(range_1),range_1); //17.06.11(2lines)
+ tmp2=if(isstring(range_2),parse(range_2),range_2);
+ minx=min(minx,tmp1);
+ maxx=max(maxx,tmp2);
+ num=defL_(3*nn);
+ options=append(options,"Num="+text(num));
+ Plotdata("pe"+text(nn),fun,
+ "x="+textformat([tmp1,tmp2],5),options);
+ pdata=append(pdata,"grpe"+text(nn));
+ tmp1=range_1; //17.06.11(4lines)
+ if(isstring(tmp1),tmp1=replace(tmp1,"pi","%pi"),tmp1=format(tmp1,5));
+ tmp2=range_2;
+ if(isstring(tmp2),tmp2=replace(tmp2,"pi","%pi"),tmp2=format(tmp2,5));
+ mxfun=mxfun+"elseif ("+tmp1+
+ "<=x and x<"+tmp2+") then "+fun+" ";
+ );
+ per=maxx-minx;
+ forall(1..rep,nr,
+ tmp1=[];
+ forall(pdata,
+ Translatedata("p"+#+text(nr),#,[per*nr,0],options);
+ Translatedata("m"+#+text(nr),#,[-per*nr,0],options);
+ tmp1=concat(tmp1,["trp"+#+text(nr),"trm"+#+text(nr)]);
+ );
+ );
+ pdata=concat(pdata,tmp1);
+ if(connect=="Y",
+ Eps=10^(-5);
+ pdata=sort(pdata,[parse(#)_1_1]);
+ prept=parse(pdata_1)_1;
+ forall(1..(length(pdata)),
+ tmp=parse(pdata_#);
+ tmp1=tmp_1;
+ tmp2=tmp_(length(tmp));
+ if(|prept-tmp1|>Eps,
+ Listplot("con"+text(#),[prept,tmp1],append(options,"da"));
+ );
+ prept=tmp_(length(tmp));
+ );
+ );
+ mxfun=substring(mxfun,4,length(mxfun)-1);
+ [mxfun,per];
+);
+
+Fourierseries(nm,coeff,per,nterm):=
+ Fourierseries(nm,coeff,per,nterm,[]); // 16.11.24
+Fourierseries(nm,coeff,per,nterm,options):=(
+//help:Fourierseries("1",[c0,cn,sn],period,numterm,options);
+ regional(c0,cn,sn,fs,tmp,tmp1,tmp2);
+ c0=coeff_1;
+ if(!isstring(c0),c0=format(c0,5));
+ c0=replace(c0,"%pi","pi");
+ cn=coeff_2;
+ if(!isstring(cn),cn=format(cn,5));
+ cn=replace(cn,"%pi","pi");
+ sn=coeff_3;
+ if(!isstring(sn),sn=format(sn,5));
+ sn=replace(sn,"%pi","pi");
+ fs=c0;
+ forall(1..nterm,
+ tmp=parse(Assign(cn,["n",#]));
+ tmp1=Assign("("+format(tmp,5)+")*cos(n*2*pi/per*x)",
+ ["n",#,"per",per]);
+ tmp=parse(Assign(sn,["n",#]));
+ tmp2=Assign("("+format(tmp,5)+")*sin(n*2*pi/per*x)",
+ ["n",#,"per",per]);
+ fs=fs+"+"+tmp1+"+"+tmp2;
+ );
+ Plotdata("four"+nm,fs,"x",options);
+);
+
+Tabledatalight(nm,xLst,yLst,rmvL):=Tabledatalight(nm,xLst,yLst,rmvL,[]);
+Tabledatalight(nm,xLst,yLst,rmvL,optionorg):=(
+//help:Tabledatalight("",xLst,yLst,rmvL,[2,"Rng=y"]);
+ regional(options,rng,name,upleft,ul,flg,tick,eqL,reL,n,m,xsize,ysize,
+ rlist,clist,Tb,tmp,tmp1,tmp2,tmp3,Eps);
+// name="tb"+nm;
+ name="tb";
+ options=optionorg;
+ tmp=Divoptions(options);
+ eqL=tmp_5; //16.12.16from
+ reL=tmp_6;
+ rng="Y";
+ forall(eqL,
+ tmp=indexof(#,"=");
+ tmp1=Toupper(substring(#,0,2));
+ tmp2=Toupper(substring(#,tmp,tmp+1));
+ if(tmp1=="RN",
+ rng=tmp2;
+ options=remove(options,[#]);
+ );
+ );//16.12.16until
+ tick=1;
+ flg=0;
+ forall(reL,
+ if(flg==0,
+ tick=#;
+ flg=flg+1;
+ ,
+ upleft=tmp_6_1;
+ );
+ );
+ tmp=sum(yLst);
+ upleft=[0,tmp];
+ TableOptions=options; // 16.11.28
+ println("Tabledatalight "+name+" generated");
+ ul=upleft/10;
+ m=length(xLst);
+ n=length(yLst);
+ xsize=sum(xLst);
+ ysize=sum(yLst);
+ clist=[ul];
+ rlist=[ul];
+ forall(1..m,
+ tmp1=clist_(#)_1+xLst_#/10;
+ clist=append(clist,[tmp1,clist_1_2]);
+ );
+ forall(1..n,
+ tmp1=rlist_(#)_2-yLst_#/10;
+ rlist=append(rlist,[0,tmp1]);
+ );
+ Tb=[clist,rlist];
+ tmp=name+"="+Tb;
+ parse(tmp);
+ forall(0..m,
+ tmp1="c"+text(#)+"r0";
+ tmp2="c"+text(#)+"r"+text(n);
+ Tlistplot("c"+text(#)+"r0r"+text(n),[tmp1,tmp2],options);
+ if(mod(#,tick)==0 % #==m,
+ tmp=clist_(#+1);
+ drawtext(clist_(#+1)-[0.04,-0.1],"c"+text(#));
+ );
+ );
+ forall(0..n,
+ tmp1="c0r"+text(#);
+ tmp2="c"+text(m)+"r"+text(#);
+ Tlistplot("r"+text(#)+"c0c"+text(m),[tmp1,tmp2],options);
+ if(mod(#,tick)==0 % #==n,
+ tmp=rlist_(#+1);
+ drawtext(rlist_(#+1)-[0.4,0.1],"r"+text(#));
+ );
+ );
+ Tsegrmv(rmvL,options);
+ Addax(0);
+ Eps=10^(-3);
+ tmp1=clist_(length(clist));
+ tmp2=rlist_1;
+ tmp3=rlist_(length(rlist));
+ if(rng=="Y", // 16.12.16
+ Setwindow([0-Eps,tmp1_1+Eps],[tmp3_2-Eps,tmp2_2+Eps]);
+ );
+ Tb;
+);
+
+Tabledata(nm,n,m,xsize,ysize,rmvL):=
+ Tabledata(nm,n,m,xsize,ysize,rmvL,[]);
+Tabledata(nm,n,m,xsize,ysize,rmvL,options):=(
+//help:Tabledata("",xLst,yLst,rmvL,[2,"Rng=y"]);
+ regional(Tb,name,tmp,xLst,yLst);
+ name="tb"+nm;
+ xLst=apply(1..n,xsize/n);
+ yLst=apply(1..m,ysize/m);
+ Tabledata(nm,xLst,yLst,rmvL,options)
+);
+Tabledata(nm,xLst,yLst,rmvL):=Tabledata(nm,xLst,yLst,rmvL,[]);
+Tabledata(nm,xLst,yLst,rmvL,optionorg):=(
+//help:Tabledata("",xLst,yLst,rmvL,[2,"Rng=y"]);
+ regional(name,options,eqL,reL,rng,upleft,ul,flg,tick,n,m,xsize,ysize,
+ rlist,clist,Tb,tmp,tmp1,tmp2,tmp3,Eps);
+// name="tb"+nm;
+ name="tb";
+ tmp=sum(yLst);
+ upleft=[0,tmp];
+ options=optionorg;
+ tmp=Divoptions(options);
+ eqL=tmp_5; //16.12.16from
+ reL=tmp_6;
+ rng="Y";
+ forall(eqL,
+ tmp=indexof(#,"=");
+ tmp1=Toupper(substring(#,0,2));
+ tmp2=Toupper(substring(#,tmp,tmp+1));
+ if(tmp1=="RN",
+ rng=tmp2;
+ options=remove(options,[#]);
+ );
+ );//16.12.16until
+ tick=1;
+ flg=0;
+ forall(reL,
+ if(flg==0,
+ tick=#;
+ flg=flg+1;
+ ,
+ upleft=tmp_6_1;
+ );
+ );
+ TableOptions=options; // 16.11.28
+ println("Tabledata "+name+" generated");
+ ul=upleft/10;
+ m=length(xLst);
+ n=length(yLst);
+ xsize=sum(xLst);
+ ysize=sum(yLst);
+ clist=[ul];
+ rlist=[ul];
+ forall(1..m,
+ tmp1=clist_(#)_1+xLst_#/10;
+ clist=append(clist,[tmp1,clist_1_2]);
+ );
+ forall(1..n,
+ tmp1=rlist_(#)_2-yLst_#/10;
+ rlist=append(rlist,[0,tmp1]);
+ );
+ Tb=[clist,rlist];
+ tmp=name+"="+Tb;
+ parse(tmp);
+ forall(0..m,
+ tmp="C"+text(#);
+ tmp1="c"+text(#)+"r0";
+ if(#==0,
+ Putpoint(tmp,Tgrid(tmp1));
+ ,
+ Putpoint(tmp,Tgrid(tmp1),[parse(tmp+".x"),C0.y]);
+ clist_(#+1)=parse(tmp+".xy");
+ );
+ inspect(parse(tmp),"ptsize",3);
+ inspect(parse(tmp),"labeled",false);
+ if(mod(#,tick)==0 % #==m,
+ tmp=clist_(#+1);
+ drawtext(clist_(#+1)-[0.04,-0.1],"c"+text(#));
+ );
+ );
+ forall(0..n,
+ tmp="R"+text(#);
+ tmp1="c0r"+text(#);
+ if(#==0,
+ Putpoint(tmp,Tgrid(tmp1));
+ ,
+ Putpoint(tmp,Tgrid(tmp1),[R0.x,parse(tmp+".y")]);
+ rlist_(#+1)=parse(tmp+".xy");
+ );
+ Putpoint(tmp,Tgrid(tmp1),[R0.x,parse(tmp+".y")]);
+ inspect(parse(tmp),"ptsize",3);
+ inspect(parse(tmp),"labeled",false);
+ if(mod(#,tick)==0 % #==n,
+ tmp=rlist_(#+1);
+ drawtext(rlist_(#+1)-[0.4,0.1],"r"+text(#));
+ );
+ );
+ Tb=[clist,rlist];
+ tmp=name+"="+Tb;
+ parse(tmp);
+ forall(0..m,
+ tmp1="c"+text(#)+"r0";
+ tmp2="c"+text(#)+"r"+text(n);
+ Tlistplot("c"+text(#)+"r0r"+text(n),[tmp1,tmp2],options);
+ if(#<m,
+ tmp1=parse("C"+text(#));
+ tmp2=parse("C"+text(#+1));
+ tmp=(tmp1.xy+tmp2.xy)/2;
+ drawtext(tmp+[-0.2,0.5],text((tmp2.x-tmp1.x)*10));
+ );
+ );
+ forall(0..n,
+ tmp1="c0r"+text(#);
+ tmp2="c"+text(m)+"r"+text(#);
+ Tlistplot("r"+text(#)+"c0c"+text(m),[tmp1,tmp2],options);
+ if(#<n,
+ tmp1=parse("R"+text(#));
+ tmp2=parse("R"+text(#+1));
+ tmp=(tmp1.xy+tmp2.xy)/2;
+ drawtext(tmp-[1.2,0.1],text(abs(tmp1.y-tmp2.y)*10));
+ );
+ );
+ Tsegrmv(rmvL,options);
+ Addax(0);
+ Eps=10^(-3);
+ tmp1=clist_(length(clist));
+ tmp2=rlist_1;
+ tmp3=rlist_(length(rlist)); // 15.06.11
+ if(rng=="Y", // 16.12.16
+ Setwindow([0-Eps,tmp1_1+Eps],[tmp3_2-Eps,tmp2_2+Eps]);
+ );
+ Tb;
+);
+
+Tseginfo(seg):=(
+ regional(cr,tp,tpc,n1,n2,n3,tmp,tmp1,tmp2);
+ if(substring(seg,0,2)=="sg",
+ cr=substring(seg,2,length(seg));
+ ,
+ cr=seg;
+ );
+ tp=substring(cr,0,1);
+ if(tp=="c",
+ tpc="r";
+ ,
+ tpc="c";
+ );
+ tmp1=indexof(cr,tpc);
+ tmp=substring(cr,tmp1,length(cr));
+ tmp2=tmp1+indexof(tmp,tpc);
+ n1=substring(cr,1,tmp1-1);
+ n2=substring(cr,tmp1,tmp2-1);
+ n3=substring(cr,tmp2,length(cr));
+ [tp+n1,tpc,parse(n2),parse(n3)];
+);
+
+Tsegrmv(rmvL):=Tsegrmv(rmvL,[]);
+Tsegrmv(rmvL,options):=(
+ regional(cr,gcL,flg,gc,hd,tail,tpc,m1,m2,n1,n2,tmp,tmp1,tmp2);
+ forall(rmvL,cr,
+ tmp1=Tseginfo(cr);
+ hd=tmp1_1;
+ tpc=tmp1_2;
+ m1=tmp1_3;
+ m2=tmp1_4;
+ gcL=select(GCLIST,Tseginfo(#_1)_1==tmp1_1);
+ flg=0;
+ forall(gcL,
+ if(flg==0,
+ tmp=Tseginfo(#_1);
+ n1=tmp_3;
+ n2=tmp_4;
+ if(m1>=n1 & m2<=n2,
+ gc=#;
+ flg=1;
+ );
+ );
+ );
+ if(flg==1,
+ Changestyle([gc_1],["nodisp"]);
+ tail="";
+ if(indexof(hd,"r")>0,
+ tail=hd; hd="";
+ );
+ if(n1<m1,
+ tmp1=tpc+text(n1);
+ tmp2=tpc+text(m1);
+ tmp=hd+tail+tmp1+tmp2;
+ Tlistplot(tmp,[hd+tmp1+tail,hd+tmp2+tail],options);
+ );
+ if(m2<n2,
+ tmp1=tpc+text(m2);
+ tmp2=tpc+text(n2);
+ tmp=hd+tail+tmp1+tmp2;
+ Tlistplot(tmp,[hd+tmp1+tail,hd+tmp2+tail],options);
+ );
+ );
+ );
+);
+
+Tgrid(ptstr):=(
+//help:Tgrid("c2r5");
+ regional(tmp,tmp1,tmp2);
+ tmp=parse(ptstr);
+ if(islist(tmp),
+ tmp;
+ ,
+ tmp=indexof(ptstr,"r");
+ tmp1=substring(ptstr,1,tmp-1);
+ tmp1=parse(tmp1);
+ tmp2=substring(ptstr,tmp,length(ptstr));
+ tmp2=parse(tmp2);
+ [tb_1_(tmp1+1)_1,tb_2_(tmp2+1)_2];
+ );
+);
+
+Tlistplot(ptL):=Tlistplot(ptL,[]);
+Tlistplot(Ag1,Ag2):=(
+ regional(nm,ptL,options);
+ if(isstring(Ag1),
+ nm=Ag1;
+ ptL=Ag2;
+ options=[];
+ ,
+ ptL=Ag1;
+ options=Ag2;
+ nm=ptL_1+ptL_2;
+ );
+ Tlistplot(nm,ptL,options);
+);
+Tlistplot(nm,ptL,options):=(
+//help:Tlistplot(["c0r0","c0r4"]);
+//help:Tlistplot("1",["c0r0","c0r4"]);
+//help:Tlistplot([options2="Msg=y"]);
+ regional(tmp,tmp1);
+ tmp1=divoptions(options);//180404from
+ tmp1=tmp1_5;
+ tmp1=apply(tmp1,Toupper(substring(#,0,1)));
+ if(contains(tmp1,"M"),
+ tmp1=options;
+ ,
+ tmp1=append(options,"Msg=n");
+ );//180404to
+ tmp=apply(ptL,Tgrid(#)); // 15.06.03
+ Listplot(nm,tmp,tmp1);
+);
+
+ChangeTablestyle(nameL,style):=(
+////help:ChangeTablestyle(["r0c0c3"],["da"]);
+ regional(nmL,grid,head,sb,tmp,tmp1,tmp2,
+ tsg,segall,sg,str);
+ if(islist(nameL),nmL=nameL,nmL=[nameL]);
+ forall(nmL,grid,
+ if(substring(grid,0,1)=="r",sb="c",sb="r");
+ tmp=Indexall(grid,sb);
+ head=substring(grid,0,tmp_1-1);
+ tmp1=substring(grid,tmp_1,tmp_2-1);
+ tmp2=substring(grid,tmp_2,length(grid));
+ tsg=apply([tmp1,tmp2],parse(#));
+ tmp1=apply(GCLIST,#_1); // 16.12.06from
+ segall=[];
+ forall(tmp1,
+ tmp2=substring(#,2,length(#));
+ tmp=indexof(tmp2,sb);
+ tmp2=substring(tmp2,0,tmp-1);
+ if(head==tmp2,segall=append(segall,#));
+ );// 16.12.06until
+ sg=[];
+ forall(segall,
+ tmp=Indexall(#,sb);
+ tmp1=substring(#,tmp_1,tmp_2-1);
+ tmp2=substring(#,tmp_2,length(#));
+ tmp=apply([tmp1,tmp2],parse(#));
+ if((tsg_1>=tmp_1) & (tsg_2<=tmp_2),
+ sg=tmp;
+ Changestyle(#,["nodisp"]);
+ );
+ );
+ if(length(sg)==0,
+ println("No segment includes "+grid);
+ ,
+ if(sb=="c",str=sb+"no"+head,str=head+sb+"no");
+ if(sg_1<tsg_1,
+ tmp1=replace(str,"no",text(sg_1));
+ tmp2=replace(str,"no",text(tsg_1));
+ tmp=head+sb+text(sg_1)+"c"+text(tsg_1);
+ Tlistplot(tmp,[tmp1,tmp2],TableOptions);
+ );
+ tmp1=replace(str,"no",text(tsg_1));
+ tmp2=replace(str,"no",text(tsg_2));
+ tmp=head+"c"+text(tsg_1)+"c"+text(tsg_2);
+ Tlistplot(tmp,[tmp1,tmp2],style);
+ if(tsg_2<sg_2,
+ tmp1=replace(str,"no",text(tsg_2));
+ tmp2=replace(str,"no",text(sg_2));
+ tmp=head+"c"+text(tsg_2)+"c"+text(sg_2);
+ Tlistplot(tmp,[tmp1,tmp2],TableOptions);
+ );
+ );
+ );
+);
+
+Findcell(pos1,pos2):=Findcell("",pos1,pos2);
+Findcell(Tbdata,pos1,pos2):=(
+//help:Findcell("c0r0","c2r1");
+ regional(tmp1,tmp2,posnw,posse,ctr,dx,dy);
+ if(isstring(pos1),
+ posnw=Tgrid(pos1); // 15.05.20
+ posse=Tgrid(pos2);
+ //posnw=parse(pos1);
+ //posse=parse(pos2);
+ ,
+ if(islist(pos1),
+ posnw=pos1;
+ posse=pos2;
+ ,
+ tmp1="c"+text(pos1-1)+"r"+text(pos2-1);
+ tmp2="c"+text(pos1)+"r"+text(pos2);
+ posnw=Tgrid(tmp1);
+ posse=Tgrid(tmp2);
+// posnw=parse(tmp1);
+// posse=parse(tmp2);
+ );
+ );
+ ctr=(posnw+posse)/2;
+ dx=abs(posse_1-ctr_1);
+ dy=abs(posnw_2-ctr_2);
+ [ctr,dx,dy];
+);
+
+Putcell(pos1,pos2,dir,lttr):=Putcell("",pos1,pos2,dir,lttr);
+Putcell(Tbdata,pos1,pos2,dir,lttr):=(
+//help:Putcell("c0r0","c2r1","lt","abc");
+//help:Putcell(2,3,"c","xyz");
+ regional(tmp,tmp1,tmp2,posnw,posse,
+ posdir,posstr,ctr,dx,dy);
+ tmp=Findcell(Tbdata,pos1,pos2);
+ ctr=tmp_1; dx=tmp_2; dy=tmp_3;
+ posdir=ctr;
+ posstr=dir;
+ if(indexof(dir,"b")>0,
+ posdir_2=posdir_2-dy;
+ posstr=replace(posstr,"b","n");
+ );
+ if(indexof(dir,"t")>0,
+ posdir_2=posdir_2+dy;
+ posstr=replace(posstr,"t","s");
+ );
+ if(indexof(dir,"l")>0,
+ posdir_1=posdir_1-dx;
+ posstr=replace(posstr,"l","e");
+ );
+ if(indexof(dir,"r")>0,
+ posdir_1=posdir_1+dx;
+ posstr=replace(posstr,"r","w");
+ );
+ Letter(posdir,posstr,text(lttr));
+);
+
+Putcellexpr(pos1,pos2,dir,ex):=Putcellexpr("",pos1,pos2,dir,ex);
+Putcellexpr(Tbdata,pos1,pos2,dir,ex):=(
+//help:Putcellexpr("c0r0","c2r1","lt","abc");
+//help:Putcellexpr(2,3,"c","\sin x");
+ Putcell(Tbdata,pos1,pos2,dir,"$"+text(ex)+"$");
+);
+
+Putrow(nrow,dir,lttrL):=Putrow("",nrow,dir,lttrL);
+Putrow(Tbdata,nrow,dir,lttrL):=(
+//help:Putrow(1,"c",["x","y","z"]);
+ regional(tmp,tmp1,mcol);
+ mcol=length(lttrL);
+ forall(1..mcol,
+ Putcell(Tbdata,#,nrow,dir,lttrL_#);
+ );
+);
+
+Putrowexpr(nrow,dir,exL):=Putrowexpr("",nrow,dir,exL);
+Putrowexpr(Tbdata,nrow,dir,exL):=(
+//help:Putrowexpr(2,"r",["x","y","z"]);
+ regional(lttrL);
+ lttrL=apply(exL,"$"+#+"$");
+ Putrow(Tbdata,nrow,dir,lttrL);
+);
+
+PutcoL(mcol,dir,lttrL):=PutcoL("",mcol,dir,lttrL);
+PutcoL(Tbdata,mcol,dir,lttrL):=(
+//help:PutcoL(1,"c",["x","y","z"]);
+ regional(tmp,tmp1,nrow);
+ nrow=length(lttrL);
+ forall(1..nrow,
+ Putcell(Tbdata,mcol,#,dir,lttrL_#);
+ );
+);
+PutcoLexpr(mcol,dir,exL):=PutcoLexpr("",mcol,dir,exL);
+PutcoLexpr(Tbdata,mcol,dir,exL):=(
+//help:PutcoLexpr(2,"r",["x","y","z"]);
+ regional(lttrL);
+ lttrL=apply(exL,"$"+#+"$");
+ PutcoL(Tbdata,mcol,dir,lttrL);
+);
+
+Setrange():=(
+//help:Setrange();
+ SW.xy=Pcrd([XMIN,YMIN]);
+ NE.xy=Pcrd([XMAX,YMAX]);
+ drawpoly([Pcrd([XMIN,YMIN]), Pcrd([XMAX,YMIN]),
+ Pcrd([XMAX,YMAX]),Pcrd([XMIN,YMAX])],color->[1,1,1]);
+);
+
+Sciform(list):=(
+ regional(plotlist,comp,pos,out,out2,nn,strL,flg,
+ tmp,tmp1,tmp2,tmp3,Nj);
+ plotlist=Flatten([list]);
+ out=replace(plotlist_1,".xy","");
+ out=replace(out,".x","(1)");
+ out=replace(out,".y","(2)");
+ if(length(plotlist)==1,
+ comp=[];
+ forall(1..length(out),
+ comp=append(comp,substring(out,#-1,#));
+ );
+ out="";
+ pos=0;
+ forall(comp,
+ if(#!="'",
+ out=out+#;
+ ,
+ if(pos==0,
+ tmp=indexof(out,"Assign(");
+ if(substring(out,length(out)-7,length(out))=="Assign(",
+ out=out+"'";
+ pos=1;
+ ,
+ out=out+"Assign('";
+ pos=2;
+ );
+ ,
+ if(pos==2,
+ out=out+"')";
+ ,
+ out=out+"'";
+ );
+ pos=0;
+ );
+ );
+ );
+ ,
+ forall(2..length(plotlist),
+ comp=plotlist_#;
+ if(isstring(comp),
+ pos=indexof(comp,"Assign(");
+ if(pos>0,
+ comp=substring(comp,6,length(comp));
+ );
+ out=out+"Assign(";
+ comp=replace(comp,".xy","");
+ comp=replace(comp,".x","(1)");
+ comp=replace(comp,".y","(2)");
+ out=out+"'"+comp+"'";
+ out=out+"),";
+ );
+ if(islist(comp),
+ forall(comp,
+ out=out+"'"+#+"',";
+ );
+ );
+ );
+ if(length(plotlist)>1,
+ out=substring(out,0,length(out)-1);
+ out=out+");";
+ );
+ );
+ pos=[];
+ forall(1..length(out),
+ tmp=indexof(substring(out,#-1,length(out)),"Assign");
+ if(tmp>0,
+ tmp1=#-1+tmp;
+ if(length(pos)==0,
+ pos=[tmp1];
+ ,
+ if(pos_(length(pos))<tmp1,
+ pos=append(pos,tmp1);
+ );
+ );
+ );
+ );
+ if(length(pos)>0,
+ strL=[];
+ Nj=0;
+ forall(pos,
+ tmp=substring(out,Nj,#-1);
+ strL=append(strL,tmp);
+ Nj=#-1;
+ );
+ strL=append(strL,substring(out,Nj,length(out)));
+ out="";
+ forall(strL,
+ if(indexof(#,"Assign")==0,
+ out=out+#;
+ ,
+ tmp=indexof(#,"('");
+ tmp1=indexof(#,"')");
+ tmp2=substring(#,tmp+1,tmp1-2);
+ tmp3=substring(#,tmp1-2,length(#));
+ if(indexof(tmp2,"=")==0,
+ out=out+#;
+ ,
+ tmp=substring(tmp2,0,indexof(tmp2,"="));
+ out=out+"'"+tmp+"'+"+"Assign('";
+ tmp=substring(tmp2,indexof(tmp2,"="),length(tmp2));
+ out=out+tmp+tmp3;
+ );
+ );
+ );
+ );
+ out2=""; // patched 16.01.21 from
+ nn=length(out);
+ flg=0;
+ forall(1..nn,
+ if(flg==0,
+ tmp=indexof(out,"='+Assign('");
+ if(tmp==0,
+ out2=out2+out;
+ flg=1;
+ ,
+ out2=out2+substring(out,0,tmp);
+ out=substring(out,tmp+10,length(out));
+ tmp=indexof(out,"'"); // 16.04.19 from
+ tmp1=substring(out,0,tmp-1);
+ tmp2="1234567890";
+ tmp=apply(1..length(tmp1),
+ indexof(tmp2,substring(tmp1,#-1,#)));
+ tmp=min(tmp);
+ if(tmp==0, // 16.04.19 until
+ out2=out2+"'+Assign('";
+ ,
+ tmp=indexof(out,"'");
+ out=substring(out,0,tmp)+substring(out,tmp+1,length(out));
+ // 16.04.18 until
+ );
+ );
+ );
+ );
+ out2=replace(out2,"Dist=","D=");
+ out2=replace(out2,"Dis=","D=");
+ out2;
+);
+
+RSform(str):=RSform(str,3);
+RSform(str,listfrom):=(
+//help:RSform(string,listfrom);
+ regional(posL,mxlv,rep1,rep2,rep3,prev,out,
+ tmp,tmp1,tmp2);
+ rep1="c("; rep2="c("; rep3="list(";
+ if(listfrom<3,rep2="list(");
+ if(listfrom==1,rep1="list(");
+ posL=Bracket(str,"[]");
+ tmp=apply(posL,#_2);
+ mxlv=max(tmp);
+ out="";
+ prev=0;
+ forall(posL,
+ out=out+substring(str,prev,#_1-1);
+ prev=#_1;
+ if(#_2>0,
+ tmp1=select(posL,tmp,(tmp_2<0)&(tmp_1>#_1));
+ tmp1=tmp1_1_1;
+ tmp=substring(str,#_1,tmp1);
+ if(#_2==mxlv,out=out+rep1);
+ if(#_2==mxlv-1,out=out+rep2);
+ if(#_2<=mxlv-2,out=out+rep3);
+ ,
+ out=out+")";
+ );
+ );
+ out=out+substring(str,prev,length(str));
+ out=replace(out,".xy","");
+ out=replace(out,".x","[1]");
+ out=replace(out,".y","[2]");
+ out=replace(out,"c(1)","[1]");//17.10.06(2lines)
+ out=replace(out,"c(2)","[2]");
+ out;
+);
+
+RSslash(str):=( //17.09.24
+ regional(tmp);
+ tmp=replace(str,"\","\\");
+// tmp=replace(tmp,"\\\\","\\");
+ tmp;
+);
+
+Rform(list):=(
+ regional(plotlist,comp,pos,out,strL,tmp,tmp1,tmp2,tmp3,Nj);
+ out=list;
+ out=replace(out,"[[[","list([[");
+ out=replace(out,"[","c(");
+ out=replace(out,"]",")");
+ out=replace(out,".xy","");
+ out=replace(out,".x","[1]");
+ out=replace(out,".y","[2]");
+ out;
+);
+
+Defvar(varstr):=(
+ regional(name,value,tmp,tmp1);
+ if(isstring(varstr),
+ parse(varstr);
+ tmp=indexof(varstr,"=");
+ name=substring(varstr,0,tmp-1);
+ value=substring(varstr,tmp,length(varstr));
+ value=parse(value);
+ tmp1=select(1..length(VLIST),VLIST_#_1==name);
+ if(length(tmp1)>0,
+ tmp=tmp1_1;
+ VLIST_tmp=[name,value];
+ ,
+ VLIST=prepend([name,value],VLIST);
+ );
+ ,
+ forall(1..(length(varstr)/2), // 16.11.16from
+ name=varstr_(2*#-1);
+ value=varstr_(2*#);
+ Defvar(name,value);
+ ); // 16.11.16until
+ );
+);
+
+Defvar(name,value):=(
+//help:Defvar("a",0.3);
+//help:Defvar(["a",0.3,"b",2]);
+ regional(tmp,tmp1);
+ if(islist(value),
+ tmp1="[";
+ forall(value,
+ if(isstring(#), // 16.11.14
+ tmp1=tmp1+Dq+#+Dq+","; // 16.11.14
+ ,
+ tmp1=tmp1+format(#,5)+",";
+ );
+ );
+ tmp1=substring(tmp1,0,length(tmp1)-1)+"]";
+ ,
+ tmp1=format(value,5);
+ );
+ tmp=name+"="+tmp1; // 15.02.06
+ parse(tmp);
+ VLIST=select(VLIST,#_1!=name); // 15.02.08
+ VLIST=prepend([name,value],VLIST);
+);
+
+IftoR(strorg):=(
+ regional(str,pre,post,sub,ppL,ifstr,out,tmp,tmp1,tmp2);
+ str=strorg;
+ ifstr=indexof(str,"if(");
+ if(ifstr==0,
+ out=replace(str,",","}else{");
+ ,
+ pre=substring(str,0,ifstr-1)+"if(";
+ ppL=Bracket(str,"()");
+ tmp1=ifstr+2;
+ tmp=select(ppL,#_1==tmp1);
+ tmp=select(ppL,#_2==-tmp_1_2);
+ tmp2=tmp_1_1;
+ sub=substring(str,tmp1,tmp2-1);
+ post="}"+substring(str,tmp2,length(str));
+ tmp=indexof(sub,",");
+ tmp1=substring(sub,0,tmp-1);
+ tmp2=substring(sub,tmp,length(sub));
+ sub=tmp1+"){"+tmp2;
+ tmp=IftoR(sub);
+ out=pre+tmp+"}";
+ );
+ out;
+);
+
+FortoR(strorg):=(
+ regional(str,pre,post,sub,ppL,forstr,out,tmp,tmp1,tmp2);
+ str=strorg;
+ forstr=indexof(str,"forall(");
+ if(forstr==0,
+ out=str;
+ ,
+ pre=substring(str,0,forstr-1)+"for(";
+ ppL=Bracket(str,"()");
+ tmp1=forstr+6;
+ tmp=select(ppL,#_1==tmp1);
+ tmp=select(ppL,#_2==-tmp_1_2);
+ tmp2=tmp_1_1;
+ sub=substring(str,tmp1,tmp2-1);
+ post="}"+substring(str,tmp2,length(str));
+ tmp=indexof(sub,",");
+ tmp1=substring(sub,0,tmp-1);
+ tmp2=substring(sub,tmp,length(sub));
+ sub=tmp1+"){"+tmp2;
+ tmp1=indexof(sub,"{");
+ tmp2=indexof(sub,",");
+ tmp=substring(sub,tmp1,tmp2-1);
+ pre=pre+tmp+" in "+substring(sub,0,tmp1-1)+"{";
+ sub=substring(sub,tmp2,length(sub));
+ tmp=FortoR(sub);
+ out=pre+tmp+"}";
+ );
+ out=replace(out,"..",":");
+ out;
+);
+
+Deffun(name,bodylist):=(
+//help:Deffun("f(x)",["regional(y)","y=x^2*(x-3)","y"]);
+ regional(funstr,str,Pos,nbody,bdy,ppL,bpL,excma,tmp,tmp1,tmp2);
+ funstr=name+":=(";
+ forall(bodylist,
+ funstr=funstr+#+";";
+ );
+ funstr=funstr+");";
+ parse(funstr);
+ tmp=indexof(name,"(");
+ str=substring(name,0,tmp-1)+"<-function(";
+ str=str+substring(name,tmp,length(name))+"{";
+ forall(1..(length(bodylist)-1),nbody,
+ bdy=bodylist_nbody;
+ Pos=indexof(bdy,"regional")+indexof(bdy,"local");
+ if(Pos==0,
+ bdy=replace(bdy,LFmark,"");
+ bdy=replace(bdy," ","");
+ ppL=Bracket(bdy,"()");
+ bpL=Bracket(bdy,"[]");
+ tmp1=select(bpL,#_2==1);
+ tmp2=select(bpL,#_2==-1);
+ excma=[];
+ forall(1..(length(tmp1)),
+ excma=append(excma,[tmp1_#_1,tmp2_#_1]);
+ );
+ tmp1=Indexall(bdy,",");
+ forall(tmp1,cma,
+ tmp=select(excma,(#_1<cma)&(cma<#_2));
+ if(length(tmp)>0,
+ bdy=substring(bdy,0,cma-1)+"'"+substring(bdy,cma,length(bdy));
+ );
+ );
+ tmp=indexof(bdy,"forall");
+ if(tmp>0,
+ bdy=FortoR(bdy);
+ );
+ tmp=indexof(bdy,"if(");
+ if(tmp>0,
+ bdy=IftoR(bdy);
+ );
+ bdy=RSform(replace(bdy,"'",","));
+ str=str+bdy+";";
+ );
+ );
+ str=str+"return("+bodylist_(length(bodylist))+")}";
+ FUNLIST=append(FUNLIST,str);
+);
+
+Windispg():=(
+ regional(Nj,Nk,Dt,Vj,tmp,tmp1,tmp2,opcindy);
+ gsave();
+ layer(KETPIClayer);
+ forall(GCLIST,Nj,
+ if(isstring(Nj_1),Dt=parse(Nj_1),Dt=Nj_1); // 11.17
+ if(islist(Dt) & length(Dt)>0, // 12.19,12.22
+ tmp=MeasureDepth(Dt);
+ if(tmp==1,Dt=[Dt]);
+ opcindy=Nj_3;
+ if(Nj_2<0,tmp1=0,tmp1=Nj_2);
+ if(tmp1<10,
+ forall(Dt,Nk,
+// tmp2=apply(Nk,if(ispoint(#),Lcrd(#),#));
+// tmp2=apply(tmp2,Pcrd(#));
+ tmp2=Nk; // 14.12.04
+ if(length(Nk)>1,
+ tmp="connect("+textformat(tmp2,5)+
+ ",dashtype->"+text(tmp1)+",linecolor->"+KCOLOR+opcindy+")";
+ parse(tmp);
+ ,
+ if(length(Nk)==1,
+ tmp="draw("+text(tmp2_1)+opcindy+")"; // 14.12.31
+ parse(tmp);
+ );
+ );
+ );
+ );
+ );
+ );
+// if(ADDAXES=="1", // 16.10.08from
+// draw([XMIN,0],[XMAX,0],color->[0,0.2,0]);
+// draw([0,YMIIN],[0,YMAX],color->[0,0.2,0]);
+// Letter([[XMAX,0],"e","x",[0,YMAX],"n","y"]);
+// Letter([[0,0],"sw","O"]);
+// ); // 16.10.08until
+ grestore();
+ layer(0);
+);
+
+Windispg(pltdata):=(
+ regional(pdata,Nj,Nk,Dt,tmp,tmp1,tmp2,opcindy);
+ gsave();
+ layer(KETPIClayer);
+ if(!islist(pltdata),tmp=[pltdata],tmp=pltdata);
+ pdata=select(GCLIST,contains(tmp,#_1));
+ forall(pdata,Nj,
+ if(isstring(Nj_1),Dt=parse(Nj_1),Dt=Nj_1); // 11.17
+ if(islist(Dt) & length(Dt)>0, // 12.19,12.22
+ tmp=MeasureDepth(Dt);
+ if(tmp==1,Dt=[Dt]);
+ opcindy=Nj_3;
+ if(Nj_2<0,tmp1=0,tmp1=Nj_2);
+ if(tmp1<10,
+ forall(Dt,Nk,
+ tmp2=Nk; // 14.12.04
+ if(length(Nk)>1,
+ tmp="connect("+textformat(tmp2,5)+ // 15.05.11
+ ",dashtype->"+text(tmp1)+
+ ",linecolor->"+KCOLOR+opcindy+")";
+ parse(tmp);
+ ,
+ if(length(Nk)==1,
+ tmp="draw("+text(tmp2_1)+opcindy+")"; // 14.12.31
+ parse(tmp);
+ );
+ );
+ );
+ );
+ );
+ );
+ grestore();
+ layer(0);
+);
+
+WritetoSci():=WritetoRS(); //17.12.19
+WritetoRS():=WritetoRS(FnameR);// 17.09.17from
+WritetoRS(Arg):=(
+ regional(string,filename,shch,tmp1,tmp2);
+ if(isstring(Arg),
+ string=Arg;
+ if(indexof(string,".r")>0,
+ filename=string;
+ shch="";
+ ,
+ filename=FnameR;
+ shch=string;
+ );
+ WritetoRS(filename,shch);
+ ,
+ if(Arg<=1,WritetoRS(FnameR,"all"));
+ if(Arg==2,WritetoRS(FnameR,"sh"));
+ );
+);
+WritetoRS(filename,shchoice):=(
+ regional(Plist,Pos,GrL,str,tmp,tmp1,tmp2,cmd);
+ println("Write to R "+filename);
+ Plist=[];
+ Pnamelist=[];
+ forall(remove(allpoints(),[SW,NE]),
+ tmp=Lcrd(#);
+ tmp1=format(re(tmp_1),6);// 15.02.05
+ tmp2=format(re(tmp_2),6);
+ tmp=#.name+"="+"c("+tmp1+","+tmp2+");";
+ tmp=tmp+"Assignadd('"+#.name+"',"+#.name+")";
+ Plist=append(Plist,tmp);
+ );
+ SCEOUTPUT = openfile(filename);
+ tmp=Datetime();
+ println(SCEOUTPUT,"# date time="+tmp_1+" "+tmp_2);
+ if(isstring(CindyPathName), // 16.12.25from
+ if(length(CindyPathName)>0,
+ println(SCEOUTPUT,
+ "# path file="+CindyPathName+" "+CindyFileName+".cdy");
+ ,
+ println(SCEOUTPUT,"");
+ );
+ ,
+ println(SCEOUTPUT,"");
+ );
+ tmp1=replace(Dirwork,"\","/");
+ if((iswindows())&(indexof(tmp1,"Users")>0),
+ tmp=Indexall(tmp1,"/");
+ tmp2=substring(tmp1,tmp_3-1,length(tmp1));
+ tmp1=substring(tmp1,0,tmp_3-1);
+ println(SCEOUTPUT,"Drv=shell('echo %HOMEDRIVE%',intern=TRUE)");
+ println(SCEOUTPUT,"Drv=Drv[length(Drv)]");
+ println(SCEOUTPUT,"Hpath=shell('echo %HOMEPATH%',intern=TRUE)");
+ println(SCEOUTPUT,"Hpath=Hpath[length(Hpath)]");
+ println(SCEOUTPUT,"Rest="+Dqq(tmp2));
+ println(SCEOUTPUT,"Path=paste(Drv,Hpath,Rest,sep='')");
+ println(SCEOUTPUT,"setwd(Path)");
+ ,
+ println(SCEOUTPUT,"setwd('"+tmp1+"')");
+ );//180409to
+ tmp=replace(Libname,"\","/"); //17.09.24from
+ println(SCEOUTPUT,"source('"+tmp+".r')");//temporary
+ if((indexof(PathT,"pdflatex")>0)%(indexof(PathT,"lualatex")>0),
+ // 17.10.07added
+ tmp=replace(tmp+"_rep2e","\","/");
+ println(SCEOUTPUT,"source('"+tmp+".r')");
+ );
+ println(SCEOUTPUT,"Ketinit()");
+ println(SCEOUTPUT,"cat(ThisVersion,'\n')");
+ println(SCEOUTPUT,"Fnametex='"+Fnametex+"'");
+ println(SCEOUTPUT,"FnameR='"+FnameR+"'");
+ println(SCEOUTPUT,"Fnameout='"+Fnameout+"'");
+ println(SCEOUTPUT,"arccos=acos; arcsin=asin; arctan=atan");
+ println(SCEOUTPUT,"");
+ forall(COM0thlist,
+ if(indexof(#,"Texcom")==0, //17.09.22
+ println(SCEOUTPUT,RSform(#));
+ ,
+ println(SCEOUTPUT,#);
+ );
+ );
+ println(SCEOUTPUT,
+ "Setwindow(c("+XMIN+","+XMAX+"), c("+YMIN+","+YMAX+"))");
+ forall(Plist,
+ println(SCEOUTPUT,#);
+ );
+ forall(VLIST,
+ tmp=#_1;
+ tmp1=#_2;
+ if(!isstring(tmp1),
+ if(islist(tmp1),
+ tmp2="[";
+ forall(tmp1,
+ tmp2=tmp2+textformat(#,6)+",";
+ );
+ tmp1=substring(tmp2,0,length(tmp2)-1)+"]";
+ ,
+ tmp1=format(tmp1,6);
+ );
+ );
+ tmp1=RSform(tmp1);
+ print(SCEOUTPUT,tmp+"="+tmp1+";"); //17.09.22
+// tmp=substring(tmp,0,length(tmp)-1);
+ println(SCEOUTPUT,"Assignadd('"+tmp+"',"+tmp+")");
+ );
+ forall(FUNLIST,
+ println(SCEOUTPUT,#);
+ );
+ forall(GLIST,
+ println(SCEOUTPUT,RSform(#));
+ );
+ tmp=text(Pnamelist);
+ tmp=replace(tmp,"[","list(");
+ Pnamelist=replace(tmp,"]",")");
+ println(SCEOUTPUT,"PtL="+Pnamelist);
+ tmp=select(GCLIST,#_2==-1);
+ GrL=apply(tmp,#_1);
+ tmp=text(GrL);
+ tmp=replace(tmp,"[","list(");
+ tmp=replace(tmp,"]",")");
+ println(SCEOUTPUT,"GrL="+tmp);
+ tmp1="";
+ if(length(tmp1)>0,
+ tmp1="WriteOutData(Fnameout"+tmp1+");";
+ println(SCEOUTPUT,tmp1);
+ );
+ forall(COM1stlist,
+ if(indexof(#,"Texcom")==0, //17.09.22
+ println(SCEOUTPUT,RSform(#));
+ ,
+ println(SCEOUTPUT,#);
+ );
+ );
+ println(SCEOUTPUT,"");
+ println(SCEOUTPUT,"# Windisp(GrL)");
+ println(SCEOUTPUT,"");
+ println(SCEOUTPUT,"if(1==1){");
+ println(SCEOUTPUT,"");
+ tmp1=replace(Dirwork,"\","/"); //180408to
+ if((iswindows())&(indexof(tmp1,"Users")>0),
+ println(SCEOUTPUT,"Path=paste(Path,"+Dqq("/"+Fnametex)+",sep='')");
+ tmp="Openfile(Path,'"+ULEN+"'";
+ ,
+ tmp="Openfile('"+tmp1+"/"+Fnametex+"','"+ULEN+"'";
+ );
+ tmp=tmp+",'Cdy="+Cindyname()+".cdy"; //180404
+ tmp=replace(tmp,"\","\\");
+ println(SCEOUTPUT,tmp+"')");
+ forall(COM2ndlist,
+ if(indexof(#,"Texcom")==0, //17.09.22
+ println(SCEOUTPUT,RSform(#));
+ ,
+ println(SCEOUTPUT,#);
+ );
+ );
+ if(length(GrL)>0,
+ println(SCEOUTPUT," Drwline(GrL)");
+ );
+ println(SCEOUTPUT,"Closefile('"+ADDAXES+"')");
+ println(SCEOUTPUT,"");
+ println(SCEOUTPUT,"}");
+ if(shchoice=="sh",
+ println(SCEOUTPUT,"");
+ println(SCEOUTPUT,"quit()");
+ ,
+ println(SCEOUTPUT,"");
+ println(SCEOUTPUT,"#quit()");
+ );
+ closefile(SCEOUTPUT);
+); //17.09.17to
+
+Extractdata(name):=Extractdata(1,name,[]);
+Extractdata(Arg1,Arg2):=(
+ if(isstring(Arg1),
+ Extractdata(1,Arg1,Arg2);
+ ,
+ Extractdata(Arg1,Arg2,[]);
+ );
+);
+Extractdata(number,name,options):=(
+//help:ExtractData("ha1");
+//help:ExtractData(1,"ha1");
+ regional(dlist,tmp,tmp1,tmp2,tmp3,File,Ltype,Noflg,opstr,opcindy);
+ tmp=Divoptions(options);
+ Ltype=tmp_1;
+ Noflg=tmp_2;
+ opstr=tmp_(length(tmp)-1);
+ opcindy=tmp_(length(tmp));
+ tmp1=[];
+ forall(1..length(GOUTLIST),
+ if(contains(GOUTLIST_#_2,name),
+ tmp1=append(tmp1,#);
+ );
+ );
+ if(length(tmp1)==0,
+ println(name+" not found");
+ ,
+ tmp1=tmp1_number;
+ tmp2=GOUTLIST_tmp1;
+ tmp=remove(tmp2_2,[name]);
+ GOUTLIST_tmp1=[tmp2_1,tmp];
+ File=tmp2_1;
+ );
+ if(Noflg<3,
+ println("extract outdata "+name);
+ tmp1=parse(name);
+ tmp3=[ //17.09.18
+ "Tmpout=ReadOutData("+Dq+File+Dq+")"
+ ];
+ GLIST=concat(GLIST,tmp3);
+ );
+ if(Noflg<2,
+ if(isstring(Ltype),
+ Ltype=GetLinestyle(text(Noflg)+Ltype,name);
+ ,
+ if(Noflg==1,Ltype=0);
+ );
+ GCLIST=append(GCLIST,[name,Ltype,opcindy]);
+ );
+ tmp2;
+);
+
+RemoveOut(pltlist):=(
+ regional(name,tmp,tmp1,tmp2);
+ forall(pltlist,name,
+ tmp1=[];
+ forall(GOUTLIST,
+ tmp=remove(#_2,[name]);
+ tmp1=append(tmp1,[#_1,tmp]);
+ );
+ GOUTLIST=tmp1;
+ );
+);
+
+ReadOutData():=ReadOutData(Fnameout);
+ReadOutData(filename):=ReadOutData("",filename); //16.03.07
+ReadOutData(pathorg,filenameorg):=(
+//help:ReadOutData();
+//help:Readoutdata();
+//help:ReadOutData("file.txt");
+//help:Readoutdata("file.txt");
+//help:ReadOutData("/datafolder","file.txt");
+//help:Readoutdata("/datafolder","file.txt");
+ regional(path,filename,varname,varL,ptL,pts,tmp,tmp1,tmp2,tmp3,tmp4,
+ nmbr,cmdall,cmd,cmdorg,outdt,goutdt);
+ path=pathorg; //16.03.07 from
+ if(length(path)>0,
+ setdirectory(path);
+ if(indexof(path,"\")>0,tmp1="\",tmp1="/");
+ tmp=substring(path,length(path)-1,length(path));
+ if(tmp!=tmp1,path=path+tmp1);
+ ); //16.03.07 until
+ filename=filenameorg; // 16.04.17
+ if(indexof(filename,".")==0,filename=filename+".txt");
+ tmp=load(filename);
+ cmdall=tokenize(tmp,"//");
+ varname=cmdall_1;
+ cmdall=cmdall_(2..length(cmdall));
+ outdt=[];
+ varL=[varname];
+ ptL=[];
+ forall(cmdall,cmdorg,
+ cmd=replace(cmdorg,LFmark,"");
+ if(length(cmd)>0,
+ if(cmd=="start" % cmd=="end" % substring(cmd,0,1)=="[",
+ if(cmd=="start",
+ pts=[];
+ );
+ if(cmd=="end",
+ ptL=append(ptL,pts);
+ );
+ if(substring(cmd,0,1)=="[",
+ tmp1=parse(cmd);
+ if(length(tmp1_1)==2,
+ tmp1=apply(tmp1,Pcrd(#));
+ );
+ pts=concat(pts,tmp1);
+ );
+ ,
+ if(length(ptL)>0,
+ if(length(ptL)==1,
+ ptL=ptL_1;
+ tmp=apply(ptL,textformat(#,6));
+ ,
+ tmp="[";
+ forall(ptL,tmp1,
+ tmp=tmp+apply(tmp1,textformat(#,6))+",";
+ );
+ tmp=substring(tmp,0,length(tmp)-1)+"]";
+ );
+ ,
+ tmp="[]";
+ );
+ parse(varname+"="+tmp);
+ outdt=append(outdt,ptL);
+ ptL=[];
+ varname=cmd;
+ varL=append(varL,varname);
+ );
+ );
+ );
+ if(length(ptL)>0,
+ if(length(ptL)==1,
+ ptL=ptL_1;
+ tmp=apply(ptL,textformat(#,6));
+ ,
+ tmp="[";
+ forall(ptL,tmp1,
+ tmp=tmp+apply(tmp1,textformat(#,6))+",";
+ );
+ tmp=substring(tmp,0,length(tmp)-1)+"]";
+ );
+ ,
+ tmp="[]";
+ );
+ parse(varname+"="+tmp);
+ outdt=append(outdt,ptL);
+ if(path=="",tmp=filename,tmp=path+filename); //16.03.07
+ GOUTLIST=append(GOUTLIST,[tmp,varL]);
+ if(length(path)>0, // 16.03.09
+ setdirectory(Dirwork); // 16.03.07
+ );
+ print("readoutdata from "+tmp+" : ");
+ println(varL);
+ varL;
+);
+
+WriteOutData(filename,ptlist):=(
+//help:WriteOutData("file.txt",["g1",gr1,"sg",sgAB]);
+//help:Writeoutdata("file.txt",["g1",gr1,"sg",sgAB]);
+ regional(nn,Gname,Gdata,Str,Gstr,Gj,Pt,Flg,tmp,tmp1,loopend);
+ Flg=0;
+ if(isstring(ptlist_(length(ptlist))),
+ Flg=1;
+ );
+ SCEOUTPUT = openfile(filename);
+ if(Flg==0,
+ loopend=length(ptlist)/2;
+ ,
+ loopend=length(ptlist);
+ );
+ Gstr="[";
+ forall(1..loopend,nn,
+ if(Flg==0,
+ Gname=ptlist_(2*nn-1);
+ ,
+ Gname=ptlist_nn;
+ );
+ Gstr=Gstr+Gname+",";
+ println(SCEOUTPUT,Gname+"//");
+ if(Flg==0,
+ Gdata=ptlist_(2*nn);
+ ,
+ Gdata=parse(Gname);
+ );
+ Gdata=Flattenlist(Gdata);
+ if(MeasureDepth(Gdata)==1,Gdata=[Gdata]);
+ forall(Gdata,Gj,
+ println(SCEOUTPUT,"start//");
+ Str="";
+ forall(Gj,Pt,
+ if(length(Str)>0,
+ Str=Str+","
+ );
+ Str=Str+"["+format(Pt_1,5)+",";
+ Str=Str+format(Pt_2,5);
+ if(length(Pt)<3,
+ Str=Str+"]";
+ ,
+ Str=Str+","+format(Pt_3,5)+"]";
+ );
+ if(length(Str)>80,
+ println(SCEOUTPUT,"["+Str+"]//");
+ Str="";
+ );
+ );
+ if(length(Str)>0,
+ println(SCEOUTPUT,"["+Str+"]//");
+ );
+ if((nn==loopend) & (Gj==Gdata_(length(Gdata))),
+ println(SCEOUTPUT,"end////");
+ ,
+ println(SCEOUTPUT,"end//");
+ );
+ );
+ );
+ closefile(SCEOUTPUT);
+ Gstr=substring(Gstr,0,length(Gstr)-1)+"]";
+ println("writeoutdata "+filename+":"+Gstr);
+);
+
+Makeshell():=(
+ if(length(Texmain)>0,
+ Texparent=Texmain;
+ );
+ if(length(Texparent)>0,
+ Makeshell(Texparent);
+ if(length(FigPdfList)>0,
+ SCEOUTPUT=openfile(Texparent+".tex");
+ forall(FigPdfList,println(SCEOUTPUT,#));
+ closefile(SCEOUTPUT);
+ );
+ ,
+ Makeshell(Fhead+"main");
+ );
+);
+Makeshell(texmainfile):=Makeshell(texmainfile,"rtv");
+Makeshell(texmainfile,flow):=(
+ regional(parent,tmp,tmp1,tmp2,tmp3,flg,tex,path,shnm);
+ parent=Dirwork+Shellparent; // 16.05.29
+ kc():=(
+ println("kc : "+kc(Dirwork+Shellparent,Mackc+Dirlib,Fnametex)); // 16.06.04,06.07
+ );
+ tmp1="";
+// tmp2=parent;
+ flg=0;
+ forall(reverse(1..length(parent)),
+ if(flg==0,
+ tmp=substring(parent,#-1,#);
+ if(tmp=="/" % tmp=="\", // 14.01.15
+ tmp1=substring(parent,0,#-1);
+ tmp2=substring(parent,#,length(parent));
+ flg=1;
+ );
+ );
+ );
+ if(length(tmp1)>0,
+ setdirectory(tmp1);
+ );
+ SCEOUTPUT = openfile(tmp2);
+ println(SCEOUTPUT,"#!/bin/sh");
+ println(SCEOUTPUT,"cd "+Dq+Dirwork+Dq); // 15.07.16
+ tmp1=" "+Dq+Fhead+Dq+" "+Dq+texmainfile+Dq; // 15.12.11
+ flg=0;
+ forall(reverse(1..length(PathT)),
+ if(flg==0,
+ if(substring(PathT,#-1,#)=="/",
+ tex=substring(PathT,#,length(PathT));
+ path=substring(PathT,0,#-1);
+ flg=1;
+ );
+ );
+ );
+ if(flg==0, // 17.10.13(Norbert)
+ tex=PathT;
+ path="";
+ );
+ if(indexof(flow,"r")>0,
+ tmp=Dq+PathR+Dq+" --vanilla --slave < "+Fhead+".r";
+ // 17.09.14
+ println(SCEOUTPUT,tmp);
+ );
+ if(tex=="latex" % tex=="platex" % tex=="uplatex", //17.08.13
+ tmp=Dq+PathT+Dq+" "+texmainfile+".tex";
+ println(SCEOUTPUT,tmp);
+ if(indexof(flow,"tt")>0,println(SCEOUTPUT,tmp)); //17.10.14
+ tmp=replace(Dq+PathT+Dq,tex,"dvipdfmx")+" "+texmainfile+".dvi";
+ println(SCEOUTPUT,tmp);
+ tmp="rm "+texmainfile+".dvi";
+ println(SCEOUTPUT,tmp);
+ );
+ if(tex=="xelatex",
+ tmp="export PATH="+path+":${PATH}";
+ println(SCEOUTPUT,tmp);
+ tmp="xelatex"+" "+texmainfile+".tex";
+ println(SCEOUTPUT,tmp);
+ if(indexof(flow,"tt")>0,println(SCEOUTPUT,tmp)); //17.10.14
+ tmp="rm "+texmainfile+".dvi";
+ println(SCEOUTPUT,tmp);
+ );
+ if(tex=="pdflatex" % tex=="pdftex",//16.11.22from
+ tmp=Dq+PathT+Dq+" "+texmainfile+".tex";
+ println(SCEOUTPUT,tmp);
+ if(indexof(flow,"tt")>0,println(SCEOUTPUT,tmp)); //17.10.14
+ );//16.11.22until
+ if(tex=="lualatex",//16.12.16
+ tmp=Dq+PathT+Dq+" "+texmainfile+".tex";
+ println(SCEOUTPUT,tmp);
+ if(indexof(flow,"tt")>0,println(SCEOUTPUT,tmp)); //17.10.14
+ );//16.12.16
+ if(!isstring(Pathpdf),
+ tmp="preview";
+ ,
+ tmp=Pathpdf;
+ );
+ if(tmp=="preview" % tmp=="skim", // 16.09.09from,16.10.20
+ tmp="open -a "+Dq+tmp+Dq+" "+texmainfile+".pdf";
+ ,
+ tmp=Dq+tmp+Dq+" "+texmainfile+".pdf";
+ );// 16.09.09until
+ println(SCEOUTPUT,tmp); // 16.07.21until
+ println(SCEOUTPUT,"exit 0");
+ closefile(SCEOUTPUT);
+ setdirectory(Dirwork);
+);
+
+Convsjiswin(dir,fname,ext):=( //180401
+ regional(ctr,flg,mx,tmp);
+ mx=200;
+ ctr=0;flg=0;
+ nkfwin(dir,fname,ext);
+ while((!isexists(dir,fname+".out"))&(ctr<mx),
+ wait(100);ctr=ctr+1;
+ );
+ if(ctr==mx,flg=1);
+ if(flg==0,
+ wait(100);ctr=0;
+ nkfcpdel(dir,fname,ext);
+ while((isexists(dir,fname+".out"))&(ctr<mx),
+ wait(100);ctr=ctr+1;
+ );
+ if(ctr==mx,flg=2);
+ );
+ tmp=dir+pathsep()+fname+"."+ext;
+ if(flg==0,
+ tmp=
+ println(tmp+" converted");
+ ,
+ println(tmp+" not converted "+text(flg));
+ );
+);
+
+Makebat():=(
+ if(length(Texmain)>0,
+ Texparent=Texmain;
+ );
+ if(length(Texparent)>0,
+ Makebat(Texparent);
+ if(length(FigPdfList)>0,
+ SCEOUTPUT=openfile(Texparent+".tex");
+ forall(FigPdfList,println(SCEOUTPUT,#));
+ closefile(SCEOUTPUT);
+ );
+ ,
+ Makebat(Fhead+"main");
+ );
+);
+Makebat(texmainfile):=Makebat(texmainfile,"rtv");
+Makebat(texmainfile,flow):=(
+ regional(drive,fname,tmp,tmp1,tmp2,tmp3,flg,tex,path,batnm);
+ drive="C:";
+ fname=Dirwork+Batparent;
+ kc():=(
+ println("kc : "+kc(Dirwork+Batparent,Dirlib,Fnametex)); // 16.06.04
+ );
+ tmp=indexof(fname,":");
+ if(tmp>0,
+ drive=substring(fname,0,tmp);
+ fname=substring(fname,tmp,length(fname));
+ );
+ tmp1="";
+ tmp2=fname;
+ flg=0;
+ forall(reverse(1..length(fname)),
+ if(flg==0,
+ tmp=substring(fname,#-1,#);
+ if(tmp=="/" % tmp=="\" % tmp=="\", // 14.01.15
+ tmp1=substring(fname,0,#-1);
+ tmp2=substring(fname,#,length(fname));
+ flg=1;
+ );
+ );
+ );
+ if(length(tmp1)>0,
+ setdirectory(drive+tmp1);
+ );
+ SCEOUTPUT = openfile(tmp2);
+ fname=replace(Dirwork,"/","\");
+ tmp=indexof(fname,":");
+ if(tmp>0,
+ drive=substring(Dirwork,0,tmp);
+ fname=substring(Dirwork,tmp,length(Dirwork));
+ println(SCEOUTPUT,drive);
+ );
+ tmp=Dirwork;//180408form
+ if(iswindows(),
+ if((isincludefull(Dirwork))&(isexists(Dirwork,"sjis.txt")),
+ import("sjis.txt");
+ );
+ );
+// tmp=replace(tmp,"\","/"); //180408
+// println(SCEOUTPUT,"cd "+Dq+tmp+Dq); //180408
+ tmp1=indexof(fname,"Users");//180409from
+ tmp2=indexof(fname,Homehead);
+ if((tmp1>0)%(tmp2>0),
+ if(tmp1>0,
+ fname=substring(fname,tmp1+length("Users")-1,length(fname));
+ ,
+ fname=substring(fname,tmp2+length(Homehead)-1,length(fname));
+ );
+ tmp=Indexall(fname,"\");//180403from
+ fname=substring(fname,tmp_2,length(fname));
+ fname="%HOMEPATH%\"+fname;
+ );//180403to
+ println(SCEOUTPUT,"cd "+Dq+fname+Dq);//180409to
+ flg=0;
+ tmp=replace(PathT,"\","/");
+ forall(reverse(1..length(PathT)),
+ if(flg==0,
+ if(substring(tmp,#-1,#)=="/",
+ tex=substring(PathT,#,length(PathT));
+ path=substring(PathT,0,#-1);
+ flg=1;
+ );
+ );
+ );
+ if(flg==0, // 17.10.13(Norbert)
+ tex=PathT;
+ path="";
+ );
+ if(indexof(flow,"r")>0,
+ tmp=Dq+PathR+"\R"+Dq+" --vanilla --slave < "+Fhead+".r";
+ // 17.09.14
+ println(SCEOUTPUT,tmp);
+ );
+ if(tex=="latex" % tex=="platex" % tex=="uplatex", //17.08.13
+ tmp=Dq+PathT+Dq+" "+texmainfile+".tex";
+ println(SCEOUTPUT,tmp);
+ if(indexof(flow,"tt")>0,println(SCEOUTPUT,tmp)); //17.10.14
+ tmp=replace(Dq+PathT+Dq,tex,"dvipdfmx")+" "+texmainfile+".dvi";
+ println(SCEOUTPUT,tmp);
+ tmp="del "+texmainfile+".dvi";
+ println(SCEOUTPUT,tmp);
+ );
+ if(tex=="xelatex",
+ tmp="set Path = %Path%;"+Dq+path+Dq;
+ println(SCEOUTPUT,tmp);
+ if(indexof(flow,"tt")>0,println(SCEOUTPUT,tmp)); //17.10.14
+ tmp="xelatex"+" "+texmainfile+".tex";
+ println(SCEOUTPUT,tmp);
+ tmp="del "+texmainfile+".dvi";
+ println(SCEOUTPUT,tmp);
+ );
+ if(tex=="pdflatex" % tex=="pdftex",//16.11.22from
+ tmp=Dq+PathT+Dq+" "+texmainfile+".tex";
+ println(SCEOUTPUT,tmp);
+ if(indexof(flow,"tt")>0,println(SCEOUTPUT,tmp)); //17.10.14
+ );//16.11.22until
+ if(tex=="lualatex",//16.12.16
+ tmp=Dq+PathT+Dq+" "+texmainfile+".tex";
+ println(SCEOUTPUT,tmp);
+ if(indexof(flow,"tt")>0,println(SCEOUTPUT,tmp)); //17.10.14
+ );//16.12.16
+ if(!isstring(Pathpdf),
+ tmp=indexof(PathS,"\scilab");// 15.12.12
+ tmp=substring(PathS,0,tmp-1)+"\SumatraPDF\SumatraPDF.exe";
+ ,
+ tmp=Pathpdf;
+ );
+ tmp=Dq+tmp+Dq+" "+texmainfile+".pdf";
+ println(SCEOUTPUT,tmp);
+ println(SCEOUTPUT,"exit 0");
+ closefile(SCEOUTPUT);
+ if(indexof(Dirwork,":")==0, // 14.01.15
+ drive="C:";
+ ,
+ drive="";
+ );
+ setdirectory(drive+Dirwork);
+);
+
+Addpackage(packorg):=(
+//help:Addpackage("bm");
+//help:Addpackage(["bm","enumerate"]);
+//help:Addpackage(["bm","[c]{somepackage}"]);
+ regional(packL,tmp);
+ packL=packorg; //17.06.25from
+ if(!islist(packL),packL=[packL]);
+ packL=apply(packL,replace(#,"\","/"));
+ forall(1..(length(packL)),
+ tmp=packL_#;
+ if(substring(tmp,0,11)=="ketpicstyle",
+ tmp=replace(Dirhead+"/"+tmp,"\","/");
+ );
+ if(indexof(tmp,"[")==0,
+ packL_#="{"+tmp+"}";
+ );
+ );
+ ADDPACK=concat(ADDPACK,packL); //17.06.25until
+);
+
+Viewtex():=(
+ regional(texfile,tmp,tmp1,sep);
+ texfile=Fhead+"main";
+// if(iswindows(),sep="\",sep="/"); // 17.04.07
+// sep="/";
+ SCEOUTPUT=openfile(texfile+".tex");
+ tmp="\documentclass{article}"; // 16.06.09from
+ if(indexof(PathT,"platex")>0,
+ tmp=replace(tmp,"article","jarticle");
+ if(indexof(PathT,"uplatex")>0, //17.08.13from
+ tmp=replace(tmp,"jarticle","ujarticle");
+ );//17.08.13until
+ ); // 16.06.09until
+ println(SCEOUTPUT,tmp);
+ if((indexof(PathT,"pdflatex")>0)%(indexof(PathT,"lualatex")>0) ,
+ //16.11.23,12.16
+ if(indexof(PathT,"pdflatex")>0,
+ println(SCEOUTPUT,"\usepackage[pdftex]{pict2e}");//16.11.24
+ ,
+ println(SCEOUTPUT,"\usepackage{pict2e}");//16.12.16
+ println(SCEOUTPUT,"\usepackage{luatexja}");//16.12.18
+ );
+ tmp=replace(Dirhead,"\","/"); //17.10.30from
+ tmp=replace(tmp,"scripts","tex/latex");
+ if(isexists(tmp,""),
+ println(SCEOUTPUT,"\usepackage{ketpic2e,ketlayer2e}");
+ ,
+ tmp=replace(Dirhead+"/ketpicstyle","\","/");
+ println(SCEOUTPUT,"\usepackage{"+tmp+"/ketpic2e}");
+ println(SCEOUTPUT,"\usepackage{"+tmp+"/ketlayer2e}");
+ );
+ ,
+ tmp=replace(Dirhead,"\","/");
+ tmp=replace(tmp,"scripts","tex/latex");
+ if(isexists(tmp,""),
+ println(SCEOUTPUT,"\usepackage{ketpic,ketlayer}");
+ ,
+ tmp=replace(Dirhead+"/ketpicstyle","\","/");
+ println(SCEOUTPUT,"\usepackage{"+tmp+"/ketpic}");
+ println(SCEOUTPUT,"\usepackage{"+tmp+"/ketlayer}");
+ );
+ );//17.10.30until
+ println(SCEOUTPUT,"\usepackage{amsmath,amssymb}");
+ println(SCEOUTPUT,"\usepackage{graphicx}");
+ println(SCEOUTPUT,"\usepackage{color}");
+ forall(ADDPACK, // 16.05.16from
+ println(SCEOUTPUT,"\usepackage"+#); //17.05.25
+ );// 16.05.16until
+ println(SCEOUTPUT,"");
+// println(SCEOUTPUT,"\def\ketcindy{{K\kern-.20em%"); // deleted 16.11.27,recovered11.29 redeleted17.04.07
+// println(SCEOUTPUT,"\lower.5ex\hbox{E}\kern-.125em{TCindy}}}");
+// println(SCEOUTPUT,"");
+ println(SCEOUTPUT,"\setmargin{20}{20}{20}{20}");
+ println(SCEOUTPUT,"");
+ println(SCEOUTPUT,"\begin{document}");
+ println(SCEOUTPUT,"");
+ println(SCEOUTPUT,"\verb|"+Fhead+"| by \ketcindy");// 16.01.12, 18, 16.04.08
+// println(SCEOUTPUT,"\verb|"+Fhead+"| by KeTCindy");// 16.11.29 temporarily
+ println(SCEOUTPUT,"\vspace{5mm}");
+ println(SCEOUTPUT,"");
+ println(SCEOUTPUT,"\input{"+Fhead+".tex}");
+ println(SCEOUTPUT,"");
+ println(SCEOUTPUT,"\end{document}");
+ closefile(SCEOUTPUT);
+ if(iswindows(),
+ kc():=(
+ println("kc : "+kc(Dirwork+Batparent,Dirlib,Fnametex)); // 16.06.04
+ );
+ Makebat(texfile);
+ ,
+ kc():=(
+ println("kc : "+kc(Dirwork+Shellparent,Mackc+Dirlib,Fnametex)); // 16.06.04
+ );
+ Makeshell(texfile);
+ );
+ WritetoRS(2); //17.09.19
+);
+
+Viewparent():=( //17.04.13
+ if(!isexists(Dirwork,Texparent+".tex"),
+ if(isstring(Texparent),
+ drawtext(mouse().xy,Texparent+".tex not exist",
+ size->24,color->[1,0,0]);
+ ,
+ drawtext(mouse().xy,"Texparent not defined",
+ size->24,color->[1,0,0]);
+ );
+ ,
+ if(iswindows(),
+ Makebat();
+ ,
+ Makeshell();
+ );
+ WritetoRS(2); //17.09.29
+ kc();
+ );
+);
+
+Makecmdlist(libname):=(
+//help:Makecmdlist("ketcindylib");
+ regional(cmdall,cmd,flg,tmp,tmp1,tmp2,out);
+ setdirectory(Dirlib);
+ tmp=load(libname+".cs");
+ cmdall=tokenize(tmp,":=");
+ out=[];
+ forall(cmdall,cmd,
+ tmp=max([0,length(cmd)-50]);
+ tmp1=";"+substring(cmd,tmp,length(cmd));
+ flg=0;
+ forall(reverse(1..length(tmp1)),
+ if(flg==0,
+ if(substring(tmp1,#-1,#)==";",
+ tmp=substring(tmp1,#,length(tmp1));
+ tmp2=substring(tmp,0,1);
+ if(length(tmp)>0,
+ if(!contains([" ","/"],tmp2),
+ out=append(out,tmp);
+ flg=1;
+ );
+ );
+ );
+ );
+ );
+ );
+ setdirectory(Dirwork);
+ tmp=length(out)-1;
+ out=out_(2..tmp);
+ out=sort(out);
+);
+
+Savecmdlist(cmdlist,cmdfile):=(
+ SCEOUTPUT=openfile(cmdfile+".cs");
+ forall(cmdlist,
+ println(SCEOUTPUT,#);
+ );
+ closefile(SCEOUTPUT);
+);
+
+Quicksort(seq):=(
+ regional(pivot,left,right,out);
+ if(length(seq)<2,
+ out=seq;
+ ,
+ pivot = max(seq_1,seq_2);
+ left = [];
+ right = [];
+ forall(seq,
+ if(#< pivot,
+ left=append(left,#);
+ ,
+ right=append(right,#);
+ );
+ );
+ left = Quicksort(left);
+ right = Quicksort(right);
+ out=concat(left,right);
+ );
+ out;
+);
+
+Lessstr(st1,st2):=(
+ regional(tmp,tmp1,tmp2,out);
+ tmp=min(length(st1),length(st2));
+ flg=0;
+ forall(1..tmp,
+ if(flg==0,
+ tmp1=substring(st1,#-1,#);
+ tmp2=substring(st2,#-1,#);
+ if(tmp1<tmp2,
+ out=(1<2);
+ flg=1;
+ ,
+ if(tmp1>tmp2,
+ out=(1>2);
+ flg=1;
+ );
+ );
+ );
+ );
+ if(flg==0,
+ if(length(st1)<length(str2),
+ out=(1<2);
+ ,
+ out=(1>2);
+ );
+ );
+ out;
+);
+
+Figpdf():=Figpdf(Texparent,[]);
+Figpdf(Arg1):=(
+ if(isstring(Arg1),
+ Figpdf(Arg1,[]);
+ ,
+ Figpdf(Texparent,Arg1);
+ );
+);
+Figpdf(fnameorg,optionorg):=(
+//help:Figpdf();
+//help:Figpdf([10,,10,,[0,2] ]);(margin(4),move)
+//help:Figpdf([[0,0]]);(move)
+//help:Figpdf(options=[5,5,5,5,[0,0]]]);
+ regional(options,fname,mar,pos,dp,sc,tmp,tmp1,tmp2,sep);
+ fname=fnameorg;
+ if(indexof(fnameorg,".")==0,
+ fname=fnameorg+".tex";
+ );
+ tmp=apply(optionorg,if(isstring(#),parse("["+#+"]"),#)); // 16.04.07
+ tmp=select(tmp,#!=[]);
+ options=optionorg;//16.11.08from
+// mar=[5,5,5,5];
+ dp=[0,-3];
+ tmp=select(options,islist(#));
+ if(length(tmp)>0,
+ dp=tmp_1;
+ options=remove(options,tmp);
+ );
+ tmp=4-length(options);
+ tmp1=apply(1..tmp,5);
+ mar=concat(options,tmp1);
+ mar=apply(mar,if(length(#)==0,5,#));//16.11.08until
+ pos=[mar_1+dp_1,mar_3+dp_2];
+ sc=10;
+ tmp=indexof(ULEN,"cm");
+ if(tmp>0,
+ tmp1=Removespace(substring(ULEN,0,tmp-1));
+ sc=parse(tmp1)*10;
+ );
+ tmp=indexof(ULEN,"mm");
+ if(tmp>0,
+ tmp1=Removespace(substring(ULEN,0,tmp-1));
+ sc=parse(tmp1);
+ );
+ tmp="\documentclass{article}"; // 16.06.09from
+ if(indexof(PathT,"platex")>0,
+ tmp=replace(tmp,"article","jarticle");
+ if(indexof(PathT,"uplatex")>0, //17.08.13from
+ tmp=replace(tmp,"jarticle","ujarticle");
+ );//17.08.13until
+ );
+ FigPdfList=append(FigPdfList,tmp); // 16.06.09until
+ tmp1="\special{papersize=W mm,H mm}";
+ tmp=(XMAX-XMIN)*sc+(mar_1+mar_2);
+ tmp1=replace(tmp1,"W",text(tmp));
+ tmp=(YMAX-YMIN)*sc+(mar_3+mar_4);
+ tmp1=replace(tmp1,"H",text(tmp));
+// if(iswindows(),sep="\",sep="/");//17.04.08
+// sep="/";
+ FigPdfList=append(FigPdfList,tmp1);
+ if(indexof(PathT,"pdflatex")+indexof(PathT,"lualatex")>0, //17.11.05from
+ FigPdfList=append(FigPdfList,
+ "\usepackage{pict2e}");
+ tmp=replace(Dirhead,"\","/");
+ tmp=replace(tmp,"scripts","tex/latex");
+ if(isexists(tmp,""),
+ FigPdfList=append(FigPdfList,
+ "\usepackage{ketpic2e,ketlayer2e}");
+ ,
+ tmp=replace(Dirhead+"/ketpicstyle","\","/");
+ FigPdfList=concat(FigPdfList,
+ ["\usepackage{"+tmp+"/ketpic2e}",
+ "\usepackage{"+tmp+"/ketlayer2e}"]);
+ );
+ ,
+ tmp=replace(Dirhead,"\","/");
+ tmp=replace(tmp,"scripts","tex/latex");
+ if(isexists(tmp,""),
+ FigPdfList=append(FigPdfList,
+ "\usepackage{ketpic,ketlayer}");
+ ,
+ tmp=replace(Dirhead+"/ketpicstyle","\","/");
+ FigPdfList=concat(FigPdfList,
+ ["\usepackage{"+tmp+"/ketpic}",
+ "\usepackage{"+tmp+"/ketlayer}"]);
+ );
+ );//17.11.05until
+ FigPdfList=append(FigPdfList,
+ "\usepackage{amsmath,amssymb}");
+ FigPdfList=append(FigPdfList,
+ "\usepackage{graphicx,color}");
+ forall(ADDPACK, // 16.05.16from
+ tmp1="\usepackage"+#; //17.07.10
+ FigPdfList=append(FigPdfList,tmp1); // 16.09.05until
+ );
+ FigPdfList=append(FigPdfList,"");
+ FigPdfList=append(FigPdfList,
+ "\setmargin{0}{0}{0}{0}");
+ FigPdfList=append(FigPdfList,"");
+ FigPdfList=append(FigPdfList,"\begin{document}");
+ FigPdfList=append(FigPdfList,"");
+ FigPdfList=append(FigPdfList,
+ "\begin{layer}{50}{0}");
+ tmp1="\putnotese{X}{Y}{\input{";
+ tmp1=replace(tmp1,"X",text(pos_1));
+ tmp1=replace(tmp1,"Y",text(pos_2));
+ FigPdfList=append(FigPdfList,tmp1+Fhead+".tex}}");
+ FigPdfList=append(FigPdfList,"");
+ FigPdfList=append(FigPdfList,"\end{layer}");
+ FigPdfList=append(FigPdfList,"");
+ FigPdfList=append(FigPdfList,"\end{document}");
+ if(fnameorg!=Texparent,
+ SCEOUTPUT=openfile(fname);
+ forall(FigPdfList,println(SCEOUTPUT,#));
+ closefile(SCEOUTPUT);
+ );
+ FigPdfList;
+);
+
+Makehelplist(libname):=(
+ regional(cmdall,cmd,flg,lev,tmp,tmp1,out);
+ tmp=load(libname);
+ cmdall=tokenize(tmp,"//help:");
+ cmdall=select(cmdall,substring(#,1,3)!=");");
+ flg=0;
+ forall(1..3,
+ if(flg==0,
+ if(substring(cmdall_#,0,7)=="start()",
+ cmdall=cmdall_((#+1)..length(cmdall));
+ flg=1;
+ );
+ );
+ );
+ flg=0;
+ tmp=length(cmdall);
+ forall(0..2,
+ if(flg==0,
+ if(substring(cmdall_(tmp-#),0,5)=="end()",
+ cmdall=cmdall_(1..(tmp-#-1));
+ flg=1;
+ );
+ );
+ );
+ out=[];
+ forall(cmdall,cmd,
+ tmp1=indexof(cmd,"(");
+ lev=1;
+ flg=0;
+ forall((tmp1+1)..length(cmd),
+ if(flg==0,
+ tmp=substring(cmd,#-1,#);
+ if(tmp=="(",lev=lev+1);
+ if(tmp==")",
+ lev=lev-1;
+ if(lev==0,
+ flg=1;
+ out=append(out,substring(cmd,0,#)+";");
+ );
+ );
+ );
+ );
+ );
+ sort(out);
+);
+
+Helplist():=Helplist(Dirlib,["+","+3d"],"helpJ");
+// 15.05.22
+Helplist(Arg):=(
+ if(islist(Arg),
+ Helplist(Dirlib,Arg,"helpJ"); // 15.06.20
+ ,
+ if(indexof(Arg,"help")>0,
+ Helplist(Dirlib,["+","+3d"],Arg);
+ ,
+ Helplist(Arg,["+","+3d"],"helpJ");
+ );
+ );
+);
+Helplist(Arg1,Arg2):=(
+ if(islist(Arg1),
+ Helplist(Dirlib,Arg1,Arg2);
+ ,
+ if(indexof(Arg2,"help")>0,
+ Helplist(Dirlib,Arg1,Arg2);
+ ,
+ Helplist(Arg,["+","+3d"],Arg2);
+ );
+ );
+);
+Helplist(dir,files,help):=(
+//help:Helplist();
+//help:Helplist("helpE");
+ regional(ketfiles,tmp,tmp1,tmp2);
+ setdirectory(dir);
+ if(contains(files,"+"),
+ tmp=remove(files,["+"]);
+ ketfiles=concat(["+basic1","+basic2","+out"],tmp);
+ ,
+ ketfiles=files;
+ );
+ ketfiles=apply(ketfiles,replace(#,"+","ketcindylib"));
+ ketfiles=apply(ketfiles,#+"r.cs"); // 15.11.05 from
+ tmp=apply(files,replace(#,"+","ketcindylib"));
+// tmp=apply(files,replace(#,"r.cs",""));
+// tmp=remove(tmp,["ketcindylibout"]);
+// tmp=apply(tmp,replace(#,"basic",""));
+ tmp=apply(tmp,#+help+".txt");
+ ketfiles=concat(ketfiles,tmp);// 15.11.05 until
+ tmp1=[];
+ forall(ketfiles,
+ tmp=Makehelplist(#);
+ tmp1=concat(tmp1,tmp);
+ );
+ if(!islist(HLIST), // 16.12.31from
+ HLIST=sort(tmp1);
+ ,
+ HLIST=sort(concat(HLIST,tmp1));
+ ); // 16.12.31until
+ setdirectory(Dirwork);
+);
+
+
+Help():=(
+ forall(HLIST,
+ println(#);
+ );
+);
+Help(strorg):=(
+//help:Help("Plot");
+//help:Help("*");
+ regional(str,sel,tmp,tmp1,tmp2,flg,Endflg);
+ if(length(HLIST)>0,flg=0,flg=-1);
+ str=replace(strorg,"'",Dq); // 15.11.25
+ if(length(str)==0,
+ forall(HLIST,
+ if(indexof(#,"*")>0,
+ println(#);
+ );
+ flg=1;
+ );
+ ,
+ if(str=="*",
+ sel=HLIST;
+ ,
+ sel=select(HLIST,substring(#,0,length(str))==str);
+ );
+ if(length(sel)>0,flg=1);
+ forall(sel,
+ tmp=indexof(#,"(");
+ if(substring(#,tmp-2,tmp-1)!="*",
+ println(#);
+ ,
+// println(substring(#,0,tmp-1));
+ tmp1=substring(#,tmp,length(#)-2);
+ tmp2=indexof(tmp1,"//");
+ Endflg=0;
+ forall(1..4,
+ if(Endflg==0,
+ tmp2=indexof(tmp1,"//");
+ if(tmp2==0,
+ println(" "+tmp1);
+ Endflg=1;
+ ,
+ println(" "+substring(tmp1,0,tmp2-1));
+ tmp1=substring(tmp1,tmp2+1,length(tmp1));
+ );
+ );
+ );
+ );
+ );
+ );
+ if(flg==-1,println(" Help not read in"));
+ if(flg==0,println(" no example"));
+);
+
+Helpkey(str):=(
+ regional(tmp,tmp1,tmp2);
+ tmp1=select(HLIST,indexof(#,str)>0);
+ forall(tmp1,
+ tmp=substring(#,0,indexof(#,"*")-1);
+ Help(tmp);
+ );
+);
+Helpkey(str1,str2):=(
+//help:Helpkey(keyword);
+//help:Helpkey(keyword1,keyword2);
+ regional(tmp,tmp1,tmp2);
+ tmp1=select(HLIST,indexof(#,str1)>0);
+ tmp1=select(tmp1,indexof(#,str2)>0);
+ forall(tmp1,
+ tmp=substring(#,0,indexof(#,"*")-1);
+ Help(tmp);
+ );
+);
+
+Slidework():=Slidework(Dirwork); // 16.06.10
+Slidework(dirorg):=(
+//help:Slidework(directory);
+ regional(dir,tmp); // 16.06.25
+ dir=replace(dirorg,unicode("000a"),""); // 16.06.25
+ dir=replace(dir,"/",pathsep());//17.11.20from
+ dir=replace(dir,"\",pathsep());
+ tmp=length(dir);
+ if(substring(dir,tmp-1,tmp)==pathsep(),
+ dir=substring(dir,0,tmp-1);
+ );//17.11.20until
+ if(isexists(dir,""), // 16.12.20
+ Changework(dir);
+ println(makedir(dir,"fig"));//17.11.23
+ tmp=dir+pathsep()+"fig"; //17.04.16from
+ Changework(tmp);// 17.02.19until
+ ,
+ println(dir+ " not exists");
+ );
+);
+
+Setslidepage():=( // 17.03.05
+ regional(tmp1,tmp2,tmp3);
+ tmp1=["letterc","boxc","framec","shadowc","xpos","size"];
+ tmp2=apply([1,2,4,5,7,8],SlideColorList_#);
+ tmp3=apply(1..(length(tmp1)),tmp1_#+"="+tmp2_#);
+ println(tmp3);
+);
+Setslidepage(list):=( // 16.12.22
+//help:Setslidepage([letterc,boxc,framec,shadowc,xpos,size]);
+ regional(numlist,tmp,tmp1,letterc,boxc,shadowc,mboxc);
+ letterc=[0.98,0.13,0,0.43]; boxc=[0,0.32,0.52,0];
+ shadowc=[0,0,0,0.5]; mboxc="yellow";
+ if(!islist(SlideColorList),
+ SlideColorList=[letterc,boxc,boxc,boxc,shadowc,shadowc,6,1.3,
+ letterc,mboxc,mboxc,mboxc,62,2,letterc];
+ );
+ numlist=[1,2,4,5,7,8];
+ forall(1..(length(list)),
+ if(length(list_#)>0,
+ tmp=numlist_#;
+ SlideColorList_tmp=list_#;
+ );
+ );
+ SlideColorList_3=SlideColorList_2;
+ SlideColorList_6=SlideColorList_5;
+);
+
+Setslidemain():=( // 17.03.05
+ regional(tmp1,tmp2,tmp3);
+ tmp1=["letterc","boxc","framec","xpos","size"];
+ tmp2=apply([9,10,12,13,14],SlideColorList_#);
+ tmp3=apply(1..(length(tmp1)),tmp1_#+"="+tmp2_#);
+ println(tmp3);
+);
+Setslidemain(list):=( // 16.12.22
+//help:Setslidemain([letterc,boxc,framec,xpos,size]);
+ regional(numlist,tmp,tmp1,letterc,boxc,shadowc,mboxc);
+ letterc=[0.98,0.13,0,0.43]; boxc=[0,0.32,0.52,0];
+ shadowc=[0,0,0,0.5]; mboxc="yellow";
+ if(!islist(SlideColorList),
+ SlideColorList=[letterc,boxc,boxc,boxc,shadowc,shadowc,6,1.3,
+ letterc,mboxc,mboxc,mboxc,62,2,letterc];
+ );
+ numlist=[9,10,12,13,14];
+ forall(1..(length(list)),
+ if(length(list_#)>0, //17.01.04
+ tmp=numlist_#;
+ SlideColorList_tmp=list_#;
+ );
+ );
+ SlideColorList_11=SlideColorList_10;
+);
+
+Setslidebody():=( // 17.03.05
+ regional(tmp1,tmp2,tmp3);
+ tmp1=["letterc","style","thindense"];
+ tmp2=[SlideColorList_(15),BodyStyle,ThinDense];
+ tmp3=apply(1..(length(tmp1)),tmp1_#+"="+tmp2_#);
+ println(tmp3);
+);
+Setslidebody(str):=(
+ regional(clr,style,thin);
+ if(isstring(str),
+ Setslidebody(str,"\Large\bf\boldmath",0.1);
+ ,
+ if(length(str)==1,Setslidebody(str_1));
+ if(length(str)==2,Setslidebody(str_1,str_2));
+ if(length(str)==3,Setslidebody(str_1,str_2,str_3));
+ );
+);
+Setslidebody(str,Arg):=( //17.01.08
+ if(isstring(Arg),
+ Setslidebody(str,Arg,0.1);
+ ,
+ Setslidebody(str,"\Large\bf\boldmath",Arg);
+ );
+);
+Setslidebody(str,style,density):=( // 16.12.22,17.01.06,01.08
+//help:Setslidebody(["black",,0]);
+//help:Setslidebody(["blue","\Large\bf\boldmath",0.1]);
+ regional(numlist,tmp,tmp1,letterc,boxc,shadowc,mboxc);
+ letterc=[0.98,0.13,0,0.43]; boxc=[0,0.32,0.52,0];
+ shadowc=[0,0,0,0.5]; mboxc="yellow";
+ if(!islist(SlideColorList),
+ SlideColorList=[letterc,boxc,boxc,boxc,shadowc,shadowc,6,1.3,
+ letterc,mboxc,mboxc,mboxc,62,2,letterc];
+ );
+ if(length(str)>0,SlideColorList_(15)=str);
+ if(length(style)>0,BodyStyle=style);
+ ThinDense=density;//17.01.08
+);
+
+Setslidehyper():=( 17.12.16from
+ Setslidehyper(["cl=true,lc=blue,fc=blue",125,70,1]);
+);
+Setslidehyper(Arg):=(
+ if(isstring(Arg),
+ Setslidehyper(Arg,["cl=true,lc=blue,fc=blue",125,70,1]);
+ ,
+ Setslidehyper("",Arg);
+ );
+);
+Setslidehyper(driverorg,options):=(
+//help:Setslidehyper();
+//help:Setslidehyper("dvipdfmx",["cl=true,lc=blue,fc=blue","Pos=[125,70]","Size=1"]);
+ regional(driver,eqL,reL,stL,,str,tmp,tmp1,tmp2);
+ driver=driverorg;
+ if(length(driver)==0,
+ if(indexof(PathT,"pdflatex")+indexof(PathT,"lualatex")==0,
+ driver="dvipdfmx";
+ );
+ );
+ tmp=Divoptions(options);
+ eqL=tmp_5;
+ reL=tmp_6;
+ stL=tmp_7;
+ if(length(stL)>0,
+ str=stL_1;
+ ,
+ str="";
+ );
+ if(length(str)==0,
+ str="cl=true,lc=blue,fc=blue";
+ );
+ if(length(driver)==0,
+ tmp1="["+str+"]";
+ ,
+ tmp1="["+driver+","+str+"]";
+ );
+ tmp1=replace(tmp1,"cl=","colorlinks=");
+ tmp1=replace(tmp1,"lc=","linkcolor=");
+ tmp1=replace(tmp1,"fc=","filecolor=");
+ tmp1=replace(tmp1,"uc=","urlcolor=");
+ ADDPACK=select(ADDPACK,indexof(#,"hyperref")==0);
+ Addpackage(tmp1+"{hyperref}");
+ LinkPosH=125;
+ LinkPosV=70;
+ LinkSize=1;
+ if(length(reL)>0,
+ LinkPosH=reL_1;
+ if(length(reL)>1,LinkPosV=reL_2);
+ if(length(reL)>2,LinkSize=max(reL_3,0.1));
+ );
+ forall(eqL,
+ tmp=indexof(#,"=");
+ tmp1=Toupper(substring(#,0,1));
+ tmp2=substring(#,tmp,length(#));
+ tmp2=parse(tmp2);
+ if(tmp1=="P",
+ LinkPosH=tmp2_1;
+ LinkPosV=tmp2_2;
+ );
+ if(tmp1=="S",
+ LinkSize=max(tmp2,0.1);
+ );
+ );
+); //17.12.16until
+
+Settitle(cmdL):=Settitle(cmdL,[]); // 180330changed
+Settitle(cmdL,options):=(
+//help:Settitle(cmdL);
+//help:Settitle(name,cmdL);
+//help:Settitle(options=["Title=slide0","Layery=0","Color=blue"]);
+ regional(tmp,tmp1,tmp2,eqL,layery,color,size,font);
+ TitleName="slide0"; //180330
+ layery="0";
+ color="blue";
+ size="\Large";
+ font="\bf";
+ tmp=Divoptions(options);
+ eqL=tmp_5;
+ forall(eqL,
+ tmp1=Toupper(substring(#,0,1));
+ tmp=indexof(#,"=");
+ tmp2=substring(#,tmp,length(#));
+ if(tmp1=="L",
+ layery=tmp2;
+ );
+ if(tmp1=="C",
+ color=tmp2;
+ );
+ if(tmp1=="S",
+ size=tmp2;
+ if(substring(size,0,1)!="\",size="\"+size);
+ );
+ if(tmp1=="F",
+ font=tmp2;
+ if(substring(font,0,1)!="\",font="\"+font);
+ );
+ if(tmp1=="T", //180330
+ TitleName=tmp2;
+ );
+ );
+ TitleCmdL=["{"+size+font];
+ if(indexof(color,"[")>0,
+ tmp=replace(color,"[","{");
+ tmp=replace(tmp,"]","}");
+ tmp1=Indexall(tmp,",");
+ if(length(tmp1)>=3,
+ tmp="\color[cmyk]"+tmp;
+ ,
+ tmp="\color[rgb]"+tmp;
+ );
+ ,
+ tmp="\color{"+color+"}";
+ );
+ TitleCmdL=append(TitleCmdL,tmp);
+ TitleCmdL=concat(TitleCmdL,["","\begin{layer}{120}{"+layery+"}"]);
+ forall(1..(length(cmdL)),
+ tmp=cmdL_#;
+ if(length(tmp)>0,
+ if(#==1,
+ tmp="{\Huge \putnote"+tmp+"}"
+ ,
+ tmp="\putnote"+tmp;
+ );
+ TitleCmdL=append(TitleCmdL,tmp);
+ );
+ );
+ TitleCmdL=concat(TitleCmdL,["\end{layer}","","}"]);
+);
+
+Maketitle():=(
+ if(!isstring(TitleName), //17.04.13from
+ drawtext(mouse().xy,"Settitle not defined",
+ size->24,color->[1,0,0]);
+ , //17.04.13until
+ Maketitle(TitleName);
+ );
+);
+Maketitle(name):=(
+//help:Maketitle();
+ regional(texfile,texmain,tmp,tmp1,sep);
+ texfile=name;
+ texmain=name+"main";
+ SCEOUTPUT=openfile(texfile+".tex");
+ forall(TitleCmdL,
+ println(SCEOUTPUT,#);
+ );
+ closefile(SCEOUTPUT);
+ SCEOUTPUT=openfile(texmain+".tex");
+ tmp="\documentclass[landscape,10pt]{article}";
+ if(indexof(PathT,"platex")>0,
+ tmp=replace(tmp,"article","jarticle");
+ if(indexof(PathT,"uplatex")>0, //17.08.13from
+ tmp=replace(tmp,"jarticle","ujarticle");
+ );//17.08.13until
+ );
+ println(SCEOUTPUT,tmp);
+ tmp="\special{papersize=\the\paperwidth,\the\paperheight}";
+ println(SCEOUTPUT,tmp);
+ tmp=replace(Dirhead,"\","/");//17.11.01from
+ tmp=replace(tmp,"scripts","tex/latex");
+ if(isexists(tmp,""),
+ println(SCEOUTPUT,"\usepackage{ketpic,ketlayer,ketslide}");
+ ,
+ tmp=replace(Dirhead+"/ketpicstyle","\","/");
+ println(SCEOUTPUT,"\usepackage{"+tmp+"/ketpic}");
+ println(SCEOUTPUT,"\usepackage{"+tmp+"/ketlayer}");
+ println(SCEOUTPUT,"\usepackage{"+tmp+"/ketslide}");
+ );//17.11.01until
+ println(SCEOUTPUT,"\usepackage{amsmath,amssymb}");
+ println(SCEOUTPUT,"\usepackage{bm,enumerate}");
+ if((indexof(PathT,"pdflatex")>0)%(indexof(PathT,"lualatex")>0),
+ println(SCEOUTPUT,"\usepackage{graphicx}");
+ ,
+ println(SCEOUTPUT,"\usepackage[dvipdfmx]{graphicx}");
+ );
+ println(SCEOUTPUT,"\usepackage[usenames]{xcolor}");
+ forall(ADDPACK,
+// if(indexof(#,"[")==0,
+// println(SCEOUTPUT,"\usepackage{"+#+"}");
+// ,
+ println(SCEOUTPUT,"\usepackage"+#); // 17.07.10
+// );
+ );
+ if(indexof(PathT,"platex")>0,tmp="\ketmarginJ",tmp="\ketmarginE");
+ println(SCEOUTPUT,tmp);
+ println(SCEOUTPUT,"\ketslideinit");
+ println(SCEOUTPUT,"");
+ println(SCEOUTPUT,"\begin{document}");
+ println(SCEOUTPUT,"");
+ println(SCEOUTPUT,"\input{"+texfile+".tex}");
+ println(SCEOUTPUT,"");
+ println(SCEOUTPUT,"\end{document}");
+ closefile(SCEOUTPUT);
+ if(iswindows(),
+ Makebat(texmain,"tv");
+ ,
+ Makeshell(texmain,"tv");
+ );
+ kc();
+);
+
+Repeatsameslide(repeatflg,sestr,addedL):=(
+ regional(seL,flg1,ss,nn,nrep,tmp,tmp1,tmp2,tmp3,str,j,k);
+ // global RepeatList, SCEOUTPUT
+ nrep=length(RepeatList);
+ flg1=0;
+ forall(addedL,ss,
+ if(repeatflg==0,
+ if(substring(ss,0,1)!="%", //16.01.04
+ println(SCEOUTPUT,ss);
+ );//16.01.04
+ ,
+ forall(1..nrep,nn,
+ if(sestr=="",
+ RepeatList_nn=append(RepeatList_nn,ss);
+ );
+ );
+ if(sestr=="",
+ seL=[1];
+ ,
+ tmp1=substring(sestr,1,length(sestr)-1);
+ tmp1=replace(tmp1,",-",".."+text(nrep));
+ tmp1=replace(tmp1,"-,","1..");
+ tmp1="["+tmp1+"]"; //17.01.03
+ seL=flatten(parse(tmp1)); //17.01.03
+ );
+ if(contains(seL,1),
+ if(substring(ss,0,1)!="%", //16.01.04
+ println(SCEOUTPUT,ss);
+ );
+ seL=remove(seL,[1]);
+ flg1=1;
+ );
+ forall(1..(length(seL)),nn,
+ tmp=seL_nn;
+ if(tmp<=length(RepeatList), //17.01.12from
+ RepeatList_tmp=append( RepeatList_tmp,ss);
+ ,
+ println(" "+sestr+" : "+text(tmp)+" > "+text(length(RepeatList)));
+ );
+ );
+ if(ThinFlg==1,//16.01.05from
+ if(flg1==1,seL=append(seL,1));
+ seL=remove(1..nrep,seL);
+ str=ss; // 17.05.28from
+ repeat(10,
+ tmp1=Indexall(str,"{\color");
+ if(length(tmp1)>0,
+ tmp2=Indexall(str,"}");
+ tmp=select(tmp2,tmp1_1<#);
+ tmp=substring(str,tmp1_1,tmp_1);
+ str=replace(str,tmp+" ","");
+ str=replace(str,tmp,"");
+ );
+ );//17.05.28until
+ if(contains(seL,1),
+ if(substring(str,0,1)!="%",
+ if(NonThinFlg==0,
+ if(!contains(["\begi","\end{"],substring(str,0,5)),//17.01.15
+ println(SCEOUTPUT,"{\color[cmyk]{\thin,\thin,\thin,\thin}");//17.08.23
+ println(SCEOUTPUT,str);
+ println(SCEOUTPUT,"}%");
+ ,
+ println(SCEOUTPUT,str);
+ );
+ );
+ if(NonThinFlg==1,
+ if(!contains(["\begi","\end{"],substring(str,0,5)),//17.01.15
+ println(SCEOUTPUT,"{\color[cmyk]{\thin,\thin,\thin,\thin}");//17.08.23
+ );
+ println(SCEOUTPUT,str);
+ );
+ if(NonThinFlg==2,
+ println(SCEOUTPUT,str);
+ if(!contains(["\begi","\end{"],substring(str,0,5)),//17.01.15
+ println(SCEOUTPUT,"}%");
+ );
+ );
+ seL=remove(seL,[1]);
+ );
+ );
+ if(substring(ss,0,1)!="%", //16.01.04
+ forall(1..(length(seL)),nn,
+ tmp=seL_nn;
+ if(NonThinFlg==0,
+ tmp1="{\color[cmyk]{\thin,\thin,\thin,\thin}";//17.08.23
+ tmp1=[tmp1,str,"}%"];
+ );
+ if(NonThinFlg==1,
+ tmp1="{\color[cmyk]{\thin,\thin,\thin,\thin}";//17.08.23
+ tmp1=[tmp1,str];//17.01.08until
+ );
+ if(NonThinFlg==2,
+ tmp1=[str,"}%"];
+ );
+ RepeatList_tmp=concat( RepeatList_tmp,tmp1);
+ );
+ );
+ );//16.01.05until
+ );
+ );//16.12.05until
+);
+
+Presentation(texfile):=Presentation(texfile,texfile);
+Presentation(texfile,txtfile):=(
+//help:Presentation(texfile,txtfile);
+ regional(file,flgL,flg,verbflg,slideL,ns,slideorgL,wall,sld,slidecmd,tmp,tmp0,tmp1,
+ tmp2,tmp3,tmp4,tmp5,newoption,top,repeatflg,nrep,nrepprev,,repstr,
+ sestr,npara,paradt,parafiles,hyperflg,paractr,
+ letterc,boxc,shadowc,mboxc,sep);
+ slidecmd=["\ketcletter","\ketcbox","\ketdbox","\ketcframe",
+ "\ketcshadow","\ketdshadow","\slidetitlex","\slidetitlesize",
+ "\mketcletter","\mketcbox","\mketdbox","\mketcframe",
+ "\mslidetitlex","\mslidetitlesize"];
+ if(!isstring(BodyStyle),//17.01.06
+ BodyStyle="\Large\bf\boldmath";
+ );
+ repeatflg=0;
+ RepeatList=[];
+ paractr=0; //16.12.31
+ if(indexof(texfile,".")==0,file=texfile+".tex",file=texfile);
+ if(indexof(txtfile,".")==0,tmp1=txtfile+".txt",tmp1=txtfile);
+ tmp=load(tmp1);
+ tmp=replace(tmp,"////","||||");// 16.05.11, 06.24(reactivated)
+ slideL=tokenize(tmp,"//");
+ slideorgL=slideL; // 16.07.11
+ slideL=apply(slideL,Removespace(#));
+ tmp=select(1..length(slideL),length(slideL_#)>0); // 16.07.11from
+ slideL=apply(tmp,slideL_#);
+ slideorgL=apply(tmp,slideorgL_#);
+// slideL=select(slideL,length(#)>0); // 16.07.11until
+ flg=0; // 16.06.09from
+ forall(1..10,
+ if(flg==0,
+ if(substring(slideL_1,0,1)!="%",
+ flg=1;
+ ,
+ slideL=slideL_(2..length(slideL));
+ slideorgL=slideorgL_(2..length(slideorgL));
+ );
+ );
+ ); // 16.06.09until
+ flgL=[];
+ SCEOUTPUT = openfile(file);
+ tmp=tokenize(slideL_1,"::");
+ tmp1=tmp_1;
+ if(length(tmp)>1,
+ tmp2=tmp_2;
+ tmp3=tmp_(3..length(tmp));//16.06.25
+ ,
+ tmp2="";
+ tmp3=tmp_(2..length(tmp));//16.06.25
+ );
+ wall=""; // 16.06.10
+ if(length(tmp3)>0,//16.06.25from
+ tmp=substring(tmp3_1,0,1);//180330
+ if((tmp!="\")&(tmp!="%")&(indexof(tmp3_1,"=")==0), //180330
+ wall=tmp3_1;
+ tmp3=tmp3_(2..length(tmp3));
+ );
+ );//16.06.25until
+ tmp="%%% "+tmp1+" "+txtfile;// 16.06.09from
+ println(SCEOUTPUT,tmp);
+ tmp="\documentclass[landscape,10pt]{article}";
+ if(indexof(PathT,"platex")>0,
+ tmp=replace(tmp,"article","jarticle");
+ if(indexof(PathT,"uplatex")>0, //17.08.13from
+ tmp=replace(tmp,"jarticle","ujarticle");
+ );//17.08.13until
+ );
+ println(SCEOUTPUT,tmp);// 16.06.09from
+ tmp=select(1..(length(tmp3)),indexof(tmp3_#,"\usepackage")>0);//17.06.18from
+ forall(tmp,
+ println(SCEOUTPUT,tmp3_#);
+ );
+ tmp=remove(1..(length(tmp3)),tmp);
+ tmp3=tmp3_tmp;//17.06.18until
+// if(iswindows(),sep="\",sep="/"); // 17.04.08
+// sep="/";
+ if((indexof(PathT,"pdflatex")>0)%(indexof(PathT,"lualatex")>0),
+ if(indexof(PathT,"lualatex")>0,
+ println(SCEOUTPUT,"\usepackage{luatexja}");
+ );
+ println(SCEOUTPUT,"\usepackage{pict2e}");
+ println(SCEOUTPUT,"\usepackage{ketpic2e,ketlayer2e}");// 17.04.08from
+ ,
+ println(SCEOUTPUT,"\special{papersize=\the\paperwidth,\the\paperheight}");
+ );// 17.04.08until
+ tmp=replace(Dirhead,"\","/");//17.11.01from
+ tmp=replace(tmp,"scripts","tex/latex");
+ if(isexists(tmp,""),
+ println(SCEOUTPUT,"\usepackage{ketpic,ketlayer}");
+ ,
+ tmp=replace(Dirhead+"/ketpicstyle","\","/");
+ println(SCEOUTPUT,"\usepackage{"+tmp+"/ketpic}");
+ println(SCEOUTPUT,"\usepackage{"+tmp+"/ketlayer}");
+ );
+ if(length(wall)==0,
+ tmp=replace(Dirhead,"\","/");//17.11.01from
+ tmp=replace(tmp,"scripts","tex/latex");
+ if(isexists(tmp,""),
+ println(SCEOUTPUT,"\usepackage{ketslide}");
+ ,
+ tmp=replace(Dirhead+"/ketpicstyle","\","/");
+ println(SCEOUTPUT,"\usepackage{"+tmp+"/ketslide}");
+ );
+ ,
+ tmp=replace(Dirhead,"\","/");
+ tmp=replace(tmp,"scripts","tex/latex");
+ if(isexists(tmp,""),
+ println(SCEOUTPUT,"\usepackage{ketslide2}");
+ ,
+ tmp=replace(Dirhead+"/ketpicstyle","\","/");
+ println(SCEOUTPUT,"\usepackage{"+tmp+"/ketslide2}");
+ );
+ );//17.04.08until
+ println(SCEOUTPUT,"\usepackage{amsmath,amssymb}");
+ println(SCEOUTPUT,"\usepackage{bm,enumerate}");
+ if((indexof(PathT,"pdflatex")>0)%(indexof(PathT,"lualatex")>0),
+ println(SCEOUTPUT,"\usepackage{graphicx}");
+ ,
+ println(SCEOUTPUT,"\usepackage[dvipdfmx]{graphicx}");
+ );
+// println(SCEOUTPUT,"\usepackage[usenames]{color}");
+// println(SCEOUTPUT,"\usepackage{color}");//17.06.14
+ println(SCEOUTPUT,"\usepackage{xcolor}");//17.07.31
+ letterc=[0.98,0.13,0,0.43]; boxc=[0,0.32,0.52,0];
+ shadowc=[0,0,0,0.5]; mboxc="yellow";
+// if(!islist(SlideColorList), //17.03.02from
+// SlideColorList=[letterc,boxc,boxc,boxc,shadowc,shadowc,6,1.3,
+// letterc,mboxc,mboxc,mboxc,62,2,letterc];
+// , //17.03.02until
+ tmp4="abcdefghijklmno";
+ forall(1..15,
+ tmp=SlideColorList_#;
+ if(islist(tmp),
+ tmp=text(tmp);
+ tmp=substring(tmp,1,length(tmp)-1);
+ if(length(SlideColorList_#)==4,//17.01.07from
+ println(SCEOUTPUT,"\definecolor{slidecolor"+tmp4_#+"}{cmyk}{"+tmp+"}");
+ );
+ if(length(SlideColorList_#)==3,
+ println(SCEOUTPUT,"\definecolor{slidecolor"+tmp4_#+"}{rgb}{"+tmp+"}");
+ );//17.01.07until
+ SlideColorList_#="slidecolor"+tmp4_#;
+ );
+ );
+// ); //17.03.02
+ println(SCEOUTPUT,"\def\setthin#1{\def\thin{#1}}");//17.08.23
+ println(SCEOUTPUT,"\setthin{"+text(ThinDense)+"}");//17.08.23
+ forall(ADDPACK,// 16.06.09from
+// if(indexof(#,"[")==0, // 16.09.05from
+// println(SCEOUTPUT,"\usepackage{"+#+"}");
+// ,
+ println(SCEOUTPUT,"\usepackage"+#); //17.07.10
+// );
+ );// 16.06.09until
+ tmp=select(ADDPACK,indexof(#,"{hyperref}")>0);//16.12.31from
+ if(length(tmp)>0,
+ hyperflg=1;
+ ,
+ hyperflg=0; //16.12.31until
+ );
+ forall(tmp3,
+ println(SCEOUTPUT,#);
+ );
+ if(indexof(PathT,"platex")>0,tmp="\ketmarginJ",tmp="\ketmarginE"); // 16.06.09
+ println(SCEOUTPUT,tmp);
+ println(SCEOUTPUT,"\ketslideinit");
+ println(SCEOUTPUT,"");
+ forall(tmp, // 15.07.21
+ if(substring(#,0,1)=="\", println(SCEOUTPUT,#));
+ );
+ if(!isstring(PageStyle),PageStyle="headings");//17.04.09
+ println(SCEOUTPUT,"\pagestyle{"+PageStyle+"}");//17.04.09
+ println(SCEOUTPUT,"");
+ println(SCEOUTPUT,"\begin{document}");
+ println(SCEOUTPUT,"");
+ if(length(wall)>0,
+ println(SCEOUTPUT,"\input{fig/"+wall+".tex}");
+ println(SCEOUTPUT,"");
+ );
+ if(length(tmp2)>0,
+ if(indexof(tmp2," no")==0, // 16.11.11from
+ println(SCEOUTPUT,"\begin{layer}{120}{0}");
+ if(substring(tmp2,0,1)!="\",
+ tmp2="\putnotese{0}{0}{\input{fig/"+tmp2+".tex}}";//16.12.27
+ );
+ println(SCEOUTPUT,tmp2);
+ println(SCEOUTPUT,"\end{layer}");
+ println(SCEOUTPUT,"");
+ ,
+ tmp=indexof(tmp2,"=");
+ if(tmp==0,
+ top="10mm";
+ ,
+ top=substring(tmp2,tmp,length(tmp2));
+ );
+ println(SCEOUTPUT,"");
+ println(SCEOUTPUT,"\vspace*{"+top+"}");
+ println(SCEOUTPUT,"");
+ ); // 16.11.11until
+ );
+ println(SCEOUTPUT,"\def\mainslidetitley{22}");
+ forall(1..14, //16.12.22from
+ tmp=SlideColorList_#;
+ if(!isstring(tmp),tmp=text(tmp));
+ if(length(tmp)>0,
+ tmp="\def"+slidecmd_#+"{"+tmp+"}";
+ println(SCEOUTPUT,tmp);
+ );
+ );//16.12.22until
+ println(SCEOUTPUT,"");
+ println(SCEOUTPUT,"\color{"+SlideColorList_(15)+"}");
+ println(SCEOUTPUT,BodyStyle);//17.01.07
+ println(SCEOUTPUT,"\thispagestyle{empty}");//17.01.29
+ println(SCEOUTPUT,"\addtocounter{page}{-1}");//17.01.29
+ println(SCEOUTPUT,"");
+ verbflg=0; //16.06.28
+ repeatflg=0;//16.12.02
+ nrep=0;//16.12.27
+ nrepprev=0;//17.01.03
+ npara=0;//16.12.27
+ forall(2..length(slideL),ns,
+ ThinFlg=0;
+ NonThinFlg=0;
+ flg=0;
+ tmp1="";
+ tmp2="";
+ tmp3="";
+ sld=removespace(slideL_ns); // 16.06.28
+ sestr="";
+ if((substring(sld,0,1)=="%") & (substring(sld,0,2)!="%%"), // 17.06.23
+ Repeatsameslide(repeatflg,"",[slideL_ns]);
+ if(repeatflg>0,
+ tmp=indexof(sld,"]::");
+ if(tmp>0,
+ if(substring(sld,1,2)!="%",//17.05.31
+ if(substring(sld,1,5)=="thin", ThinFlg=1); // 17.05.28
+ sestr=substring(sld,1,tmp);
+ sld=substring(sld,tmp+2,length(sld));
+ tmp=indexof(sestr,"[");
+ sestr=substring(sestr,tmp-1,length(sestr));//17.01.05
+ );
+ );
+ );
+ if(substring(sld,1,7)=="repeat", // 16.12.09from
+ tmp=indexof(sld,"=");
+ tmp5=substring(sld,tmp,length(sld));
+ tmp=indexof(tmp5,",");
+ if(tmp>0,//17.01.03from
+ tmp5=substring(tmp5,0,tmp-1);
+ );//17.01.03until
+ repeatflg=1;
+ if(length(tmp5)>0,
+ nrep=parse(tmp5);
+ tmp=[];
+ if(length(wall)>0,
+ tmp=["","\input{fig/"+wall+".tex}"];
+ );
+ tmp=concat(tmp,["","\sameslide"+NewSlideOption,"","\vspace*{18mm}",""]);
+ RepeatList=apply(1..nrep,if(#==1,[],tmp));
+ );
+ if(sestr=="",flg=1);
+ tmp=indexof(sld,",");//17.01.03from
+ if(tmp>0,
+ sld="%"+substring(sld,tmp,length(sld));
+ if(indexof(sld,"=")==0,sld=sld+"=");
+ );//17.01.03until
+ );
+ if(substring(sld,1,5)=="para",
+ paractr=paractr+1;
+ repeatflg=1;
+ tmp=indexof(sld,"=");
+ tmp=substring(sld,tmp,length(sld));
+ if(length(tmp)==0, //17.01.03
+ npara=0;
+ ,
+ paradt=tokenize(tmp,":");
+ tmp=fileslist(Dirwork+"/fig/"+paradt_1);
+ if(length(tmp)>0,
+ parafiles=tokenize(tmp,",");
+ if(indexof(paradt_4,"input")>0,
+ tmp0=indexof(paradt_4,",");//17.01.29from
+ if(tmp0>0,
+ paradt=append(paradt,substring(paradt_4,tmp0,length(paradt_4)));
+ paradt_4=substring(paradt_4,0,tmp0-1);
+ );//17.01.29until
+ parafiles=select(parafiles,indexof(#,".tex")>0);
+ if(indexof(paradt_4,"\input")==0,paradt_4="\"+paradt_4);//16.12.17
+ );
+ if(indexof(paradt_4,"include")>0,
+ parafiles=select(parafiles,indexof(#,".pdf")>0);
+ );
+ npara=length(parafiles);
+ ,
+ println(Dirwork+"/fig/"+paradt_1+" not found");
+ parafiles=[];
+ npara=0;
+ );
+ if(nrep==0,
+ nrep=npara;
+ if(length(wall)>0,
+ tmp=["","\input{fig/"+wall+".tex}"];
+ );
+ tmp=concat(tmp,["","\sameslide"+NewSlideOption,"","\vspace*{18mm}",""]);
+ RepeatList=apply(1..nrep,if(#==1,[],tmp));
+ );
+ );
+ forall(1..nrep, //16.12.28
+ tmp4=[]; //16.12.31from
+ if(hyperflg>0,
+ tmp4=["\hypertarget{para"+text(paractr)+"pg"+text(#)+"}{}"];
+ );//16.12.31until
+ if(npara>0, //17.01.03
+ tmp4=concat(tmp4,["","\begin{layer}{120}"+paradt_2]);
+ if(#<=npara, //16.12.28from
+ tmp=parafiles_#;
+ ,
+ tmp=parafiles_npara;
+ );
+ tmp="{"+paradt_4+"{fig/"+paradt_1+"/"+tmp+"}}";
+ if(length(paradt)>=5,
+ tmp="{\scalebox{"+text(paradt_5)+"}"+tmp+"}";
+ );
+ if(substring(paradt_3,0,1)=="\",
+ tmp=paradt_3+tmp;
+ ,
+ tmp="\putnote"+paradt_3+tmp;
+ );
+ tmp4=concat(tmp4,[tmp]);//16.12.31
+ ,
+ tmp4=concat(tmp4,["","\begin{layer}{120}{0}"]);
+ );
+ if((hyperflg>0) & (LinkSize>0.15),
+ tmp="{"+text(LinkPosV)+"}{\hyperlink{para"; // 17.01.12from
+ tmp1=tmp+text(paractr)+"pg";
+ tmp2=tmp+text(paractr-1)+"pg"+text(nrepprev);
+ if(#>1,tmp=tmp1+text(1),tmp=tmp2);
+ tmp3=[text(LinkPosH-29*LinkSize)+"}"+tmp+"}{\fbox{\Ctab{"
+ +text(2.5*LinkSize)+"mm}{\scalebox{"+text(LinkSize)
+ +"}{\scriptsize $\mathstrut|\!\lhd$}}}}}"];
+ if(#>1,tmp=tmp1+text(max(#-3,1)),tmp=tmp2);
+ tmp3=append(tmp3,
+ text(LinkPosH-24*LinkSize)+"}"+tmp+"}{\fbox{\Ctab{"
+ +text(2.5*LinkSize)+"mm}{\scalebox{"+text(LinkSize)
+ +"}{\scriptsize $\mathstrut\!\! \lhd\!\!\lhd\!$}}}}}");
+ if(#>1,tmp=tmp1+text(#-1),tmp=tmp2);
+ tmp3=append(tmp3,
+ text(LinkPosH-17*LinkSize)+"}"+tmp+"}{\fbox{\Ctab{"
+ +text(4.5*LinkSize)+"mm}{\scalebox{"+text(LinkSize)
+ +"}{\scriptsize $\mathstrut\!\!\lhd\!\!$}}}}}");
+ tmp="{"+text(LinkPosV)+"}{\hyperlink{para";
+ tmp2=tmp+text(paractr+1)+"pg"+text(1);
+ if(#<nrep,tmp=tmp1+text(#+1),tmp=tmp2);
+ tmp3=append(tmp3,
+ text(LinkPosH-10*LinkSize)+"}"+tmp+"}{\fbox{\Ctab{"
+ +text(4.5*LinkSize)+"mm}{\scalebox{"+text(LinkSize)
+ +"}{\scriptsize $\mathstrut\!\rhd\!$}}}}}");
+ if(#<nrep,tmp=tmp1+text(min(#+3,nrep)),tmp=tmp2);
+ tmp3=append(tmp3,
+ text(LinkPosH-5*LinkSize)+"}"+tmp+"}{\fbox{\Ctab{"
+ +text(2.5*LinkSize)+"mm}{\scalebox{"+text(LinkSize)
+ +"}{\scriptsize $\mathstrut\!\!\rhd\!\!\rhd\!$}}}}}");
+ if(#<nrep,tmp=tmp1+text(nrep),tmp=tmp2);
+ tmp3=append(tmp3,
+ text(LinkPosH)+"}"+tmp+"}{\fbox{\Ctab{" // 17.01.19
+ +text(2.5*LinkSize)+"mm}{\scalebox{"+text(LinkSize)
+ +"}{\scriptsize $\mathstrut \!\rhd\!\!|$}}}}}");
+ tmp3=apply(tmp3,tmp,"\putnotew{"+tmp);
+ tmp4=concat(tmp4,tmp3);// 17.01.12untilr
+ tmp="\putnotew{"+text(LinkPosH)+"}{"+text(LinkPosV+6)+"}";//17.10.21from
+ tmp=tmp+"{\scriptsize\color{black} "+text(#)+"/"+text(nrep)+"}";
+ tmp4=append(tmp4,tmp);//17.10.21until
+ );
+ tmp4=concat(tmp4,["\end{layer}",""]);//16.12.31until
+ Repeatsameslide(repeatflg,text([#]),tmp4);
+ );
+ );
+ );
+ if(substring(sld,0,2)=="%%", //17.06.23from
+ println(SCEOUTPUT,sld);
+ flg=1;
+ ); //17.06.23until
+ if(flg==0,
+ if(indexof(sld,"\begin{verbatim}")==1, // 16.06.28from
+ Repeatsameslide(repeatflg,sestr,[slideL_ns]);
+ verbflg=1;
+ flg=1;
+ ); // 16.06.28
+ if(indexof(sld,"\end{verbatim}")==1,
+ Repeatsameslide(repeatflg,sestr,[slideL_ns]);
+ verbflg=0;
+ flg=1;
+ ); // 16.06.28until
+ if(flg==0,
+ tmp=replace(sld,"||||","//"); // 16.05.11
+ tmp=tokenize(tmp,"::"); // 16.05.11
+ tmp1=tmp_1;
+ if(length(tmp)>1,tmp2=tmp_2,tmp2="");
+ if(length(tmp)>2,tmp3=tmp_3,tmp3="");
+ if(length(tmp)>3,tmp4=tmp_4,tmp4="");
+ if(length(tmp)>4,tmp5=tmp_5,tmp5="");
+ if(contains(["main","new","same"],tmp1),
+ if(tmp1=="new", // 16.11.09from
+ newoption="";
+ if(substring(tmp2,0,1)=="[",newoption=tmp2);
+ );
+ if(tmp1=="same",
+ if(length(tmp2)==0,tmp2=newoption);
+ );// 16.11.09until
+ println(SCEOUTPUT,"");
+ println(SCEOUTPUT,"%%%%%%%%%%%%%%%%%%%%");
+ println(SCEOUTPUT,"");
+ );
+ );
+ if(flg==0&tmp1=="main",
+ if(repeatflg==1,
+ forall(2..(length(RepeatList)),nrep,
+ tmp=RepeatList_nrep;
+ forall(tmp,
+ if(substring(#,0,1)!="%", //16.01.04
+ println(SCEOUTPUT,#);
+ );
+ );
+ );
+ println(SCEOUTPUT,"");
+ repeatflg=0;RepeatList=[];
+ nrepprev=nrep;//17.01.03
+ nrep=0;//16.12.27
+ npara=0;//16.12.27
+ );
+ if(length(wall)>0,
+ println(SCEOUTPUT,"\input{fig/"+wall+".tex}");
+ );
+ println(SCEOUTPUT,"\mainslide{"+tmp2+"}");
+ println(SCEOUTPUT,"");
+ tmp2="";
+ flg=1;
+ );
+ if(flg==0&tmp1=="new",
+ if(repeatflg==1,
+ forall(2..(length(RepeatList)),nrep,
+ tmp=RepeatList_nrep;
+ forall(tmp,
+ if(substring(#,0,1)!="%", //16.01.04
+ println(SCEOUTPUT,#);
+ );
+ );
+ );
+ println(SCEOUTPUT,"");
+ repeatflg=0;RepeatList=[];
+ nrepprev=nrep;//17.01.03
+ nrep=0;
+ npara=0;
+ );
+ if(length(wall)>0,
+ Repeatsameslide(repeatflg,sestr,["\input{fig/"+wall+".tex}"]);
+ );
+ tmp="\newslide";
+ NewSlideOption=""; //17.01.04
+ if(substring(tmp2,0,1)=="[",
+ NewSlideOption=tmp2; //17.01.04
+ tmp=tmp+tmp2;
+ tmp2=tmp3;
+ tmp3=tmp4;
+ tmp4=tmp5;
+ );
+ tmp=tmp+"{"+tmp2+"}";
+ Repeatsameslide(repeatflg,sestr,[tmp,"","\vspace*{18mm}",""]);
+ tmp2="";
+ flg=1;
+ );
+ if(flg==0&tmp1=="same",
+ if(repeatflg==1,
+ forall(2..(length(RepeatList)),nrep,
+ tmp=RepeatList_nrep;
+ forall(tmp,
+ if(substring(#,0,1)!="%", //16.01.04
+ println(SCEOUTPUT,#);
+ );
+ );
+ );
+ println(SCEOUTPUT,"");
+ repeatflg=0;RepeatList=[];
+ nrepprev=nrep;//17.01.03
+ nrep=0;
+ npara=0;
+ );
+ if(length(wall)>0,
+ println(SCEOUTPUT,"\input{fig/"+wall+".tex}");
+ );
+ tmp="\sameslide"+NewSlideOption; //17.01.04;
+// if(substring(tmp2,0,1)=="[",
+// tmp=tmp+tmp2;
+// tmp2=tmp3;
+// tmp3=tmp4;
+// );
+ println(SCEOUTPUT,tmp);
+ println(SCEOUTPUT,"");
+ println(SCEOUTPUT,"\vspace*{18mm}");
+ println(SCEOUTPUT,"");
+ tmp4=tmp3;
+ tmp3=tmp2;
+ tmp2="";
+ flg=1;
+ );
+ if(flg==0&tmp1=="itemize",
+ Repeatsameslide(repeatflg,sestr,["\begin{itemize}"]);
+ flgL=append(flgL,"i");
+ tmp2="";
+ tmp3="";
+ flg=1;
+ );
+ if(flg==0&tmp1=="enumerate",
+ Repeatsameslide(repeatflg,sestr,["\begin{enumerate}"+tmp2]);
+ flgL=append(flgL,"e");
+ tmp2="";
+ tmp3="";
+ flg=1;
+ );
+ if(flg==0&tmp1=="verbatim", //16.06.28from
+ Repeatsameslide(repeatflg,sestr,["\begin{verbatim}"]);
+ flgL=append(flgL,"v");
+ tmp1="";
+ tmp2="";
+ tmp3="";
+ verbflg=1;
+ flg=1;
+ ); //16.06.28until
+ if(flg==0&tmp1=="layer",
+ Repeatsameslide(repeatflg,sestr,[""]);
+ tmp="\begin{layer}";
+ if(length(tmp2)>0,
+ tmp=tmp+tmp2;
+ ,
+ tmp=tmp+"{120}{0}";
+ );
+ Repeatsameslide(repeatflg,sestr,[tmp]);
+ flgL=append(flgL,"l");
+ tmp2="";
+ tmp3="";
+ flg=1;
+ );
+ if(flg==0&tmp1=="putnote",
+ tmp="\putnote"+tmp2+"{";
+ if(indexof(tmp3,"include")==0,
+ tmp1=indexof(tmp3,",");
+ if(tmp1==0,
+ tmp=tmp+"\input{fig/"+tmp3+".tex}}";
+ ,
+ tmp2=substring(tmp3,tmp1,length(tmp3));
+ tmp3=substring(tmp3,0,tmp1-1);
+ tmp=tmp+"\scalebox{"+tmp2+"}{\input{fig/"+tmp3+".tex}}}";
+ );
+ ,
+ tmp2=indexof(tmp3,"[");
+ tmp3=substring(tmp3,tmp2-1,length(tmp3));
+ tmp=tmp+"\includegraphics"+tmp3+"{fig/"+tmp4+"}}";
+ );
+ Repeatsameslide(repeatflg,sestr,[tmp]);
+ tmp2="";
+ tmp3="";
+ flg=1;
+ );
+ if(flg==0&tmp1=="item",
+ NonThinFlg=1;
+ Repeatsameslide(repeatflg,sestr,["\item"]);
+ tmp3="";
+ flg=1;
+ );
+ if(flg==0&tmp1=="end",
+ tmp=flgL_(length(flgL));
+ if(tmp=="i",
+ Repeatsameslide(repeatflg,sestr,["\end{itemize}"]);
+ );
+ if(tmp=="e",
+ Repeatsameslide(repeatflg,sestr,["\end{enumerate}"]);
+ );
+ if(tmp=="l",
+ Repeatsameslide(repeatflg,sestr,["\end{layer}",""]);
+ );
+ if(tmp=="v", // 16.06.28from
+ Repeatsameslide(repeatflg,sestr,["\end{verbatim}",""]);
+ verbflg=0;
+ ); // 16.06.28until
+ flgL=flgL_(1..(length(flgL)-1));
+ tmp2="";
+ tmp3="";
+ flg=1;
+ );
+ if(flg==0, // 16.06.28from
+ if(verbflg==0,
+ tmp2=tmp1;
+ ,
+ tmp2=slideorgL_ns; // 16.07.11
+ tmp2=replace(tmp2,"||","//"); // 16.07.10
+ tmp3="";
+ );
+ ); // 16.06.28until
+ if(length(tmp2)>0,
+ if(tmp2=="...", tmp2="");
+ if(NonThinFlg==1,NonThinFlg=2);
+ Repeatsameslide(repeatflg,sestr,[tmp2]);
+ );
+ if(length(tmp3)>0,
+ Repeatsameslide(repeatflg,sestr,["\begin{layer}{120}{0}"]);
+ if(substring(tmp3,0,1)=="{",
+ tmp=tmp3;
+ tmp3=tmp4;
+ ,
+ tmp="{60}{0}";
+ );
+ tmp1=indexof(tmp3,",");
+ if(tmp1==0,
+ tmp3="\putnotes"+tmp+"{\input{fig/"+tmp3+".tex}}";
+ ,
+ tmp2=substring(tmp3,tmp1,length(tmp3));
+ tmp3=substring(tmp3,0,tmp1-1);
+ tmp3="\putnotes"+tmp+"{\scalebox{"+tmp2+"}
+ {\input{fig/"+tmp3+".tex}}}";
+ );
+ Repeatsameslide(repeatflg,sestr,[tmp3,"\end{layer}",""]);
+ );
+ );
+ );
+ if(repeatflg==1,
+ forall(2..(length(RepeatList)),nrep,
+ tmp=RepeatList_nrep;
+ forall(tmp,
+ if(substring(#,0,1)!="%", //16.01.04
+ println(SCEOUTPUT,#);
+ );
+ );
+ );
+ println(SCEOUTPUT,"");
+ );
+ println(SCEOUTPUT,"");
+ println(SCEOUTPUT,"\end{document}");
+ closefile(SCEOUTPUT);
+);
+
+Mkslides():=(
+ regional(sep,parent,texparentorg,tmp,tmp1,tmp2,tmp3,tmp4,flg);
+ tmp4=Fhead;
+ Fhead="";
+ if(!iswindows(), //17.10.13
+ Dirwork=replace(Dirwork,"\",pathsep());
+ parent=replace(Dirwork+Shellparent,"\",pathsep());
+ ,
+ Dirwork=replace(Dirwork,"/",pathsep());
+ parent=replace(Dirwork+Batparent,"/",pathsep());// 16.05.29
+ );
+ Dirwork=replace(Dirwork,pathsep()+"fig","");
+ Setdirectory(Dirwork);
+ if(length(Texmain)>0, // 15.08.14 from
+ Texparent=Texmain;
+ );
+ texparentorg=Texparent; //17.04.10from
+ if(isstring(Slidename), // 15.08.14 from
+ Texparent=Slidename;
+ );//17.04.10until
+ if(!isexists(Dirwork,Texparent+".txt"), // 17.04.12from
+ drawtext(mouse().xy,Texparent+".txt not exist in "+Dirwork,
+ size->24,color->[1,0,0]);
+ , // 17.04.12until
+ Presentation(Texparent); // 15.08.14 until
+ if(iswindows(),
+ tmp2=Batparent;
+ parent=replace(Dirwork+Batparent,sep+"fig","");// 16.05.29
+ if(indexof(Pathpdf,"Adobe")>0, //17.12.09from
+ Makebat(Texparent,"ttv");
+ ,
+ Makebat(Texparent,"tv");
+ ); //17.12.09until
+ kc():=(
+ println("kc : "+kc(parent,Dirlib,Fnametex)); // 16.06.10, 17.02.19
+ );
+ kc();
+ Batparent=tmp2;
+ ,
+ tmp2=Shellparent;
+ parent=replace(Dirwork+Shellparent,sep+"fig","");// 16.05.29
+ Shellparent=replace(Shellparent,sep+"fig","");
+ if(indexof(Pathpdf,"Adobe")>0, //17.12.09from
+ Makeshell(Texparent,"ttv");
+ ,
+ Makeshell(Texparent,"tv");
+ ); //17.12.09until
+ kc():=(
+ println("kc : "+kc(parent,Mackc+Dirlib,Fnametex)); // 16.06.10
+ );
+ kc();
+ Shellparent=tmp2;
+ );
+ );
+ Dirwork=Dirwork+pathsep()+"fig"; //17.10.16
+ setdirectory(Dirwork);
+ Fhead=tmp4;
+ Texparent=texparentorg;//17.04.10
+);
+
+Mkslidesummary():=( // 17.10.26 for R
+ regional(texparentorg);
+ texparentorg=Texparent;
+ if(isstring(Slidename),
+ Texparent=Slidename;
+ );
+ Mkslidesummary(Texparent,Texparent+"digest",["m","Wait=3"]);
+ Texparent=texparentorg;
+);
+Mkslidesummary(fin,fout):=
+ Mkslidesummary(fin,fout,["m","Wait=3"]);
+Mkslidesummary(inputfile,outputfile,options):=(
+//help:Mkslidesummary(fin,fout,options);
+ regional(fin,fout,out,figflg,dirworkorg,dirtop,tmp);
+ dirworkorg=Dirwork;//17.04.10from
+ dirtop=replace(Dirwork,pathsep()+"fig","");
+ Changework(dirtop);//17.04.10uptp
+ fin=inputfile;
+ if(indexof(fin,".")==0,fin=fin+".tex");
+ fout=outputfile;
+ if(indexof(fout,".")==0,fout=fout+".tex");
+ cmdL=[
+ "Dt=readLines('"+fin+"')",[],
+ "num=grep('\\hypertarget',Dt,fixed=TRUE)",[],
+ "Dt=Dt[setdiff(1:length(Dt),num)]",[],
+ "Smain=c();Snew=c();Ssame=c()",[],
+ "for(J in 1:length(Dt)){",[],
+ " Tmp=length(grep('\\mainslide{',Dt[J],fixed=TRUE))",[],
+ " if(Tmp>0){Smain=c(Smain,1)}else{Smain=c(Smain,0)}",[],
+ " Tmp=length(grep('\\newslide{',Dt[J],fixed=TRUE))",[],
+ " if(Tmp>0){Snew=c(Snew,1)}else{Snew=c(Snew,0)}",[],
+ " Tmp=length(grep('\\sameslide',Dt[J],fixed=TRUE))",[],
+ " if(Tmp>0){Ssame=c(Ssame,1)}else{Ssame=c(Ssame,0)}",[],
+ "}",[],
+ "Nnew=c();Nsame=c()",[],
+ "for(J in 1:length(Dt)){",[],
+ " if((Snew[J]==1)|(Smain[J]==1)){Nnew=c(Nnew,J)}",[],
+ " if(Ssame[J]==1){Nsame=c(Nsame,J)}",[],
+ "}",[],
+ "Out=Dt[1:Nnew[1]]",[],
+ "for(J in Looprange(2,length(Nnew))){",[],
+ " Tmp=max(c(1,Nsame[Nsame<Nnew[J]]))",[],
+ " Tmp=max(c(Tmp,Nnew[J-1]))+1",[],
+ " Out=c(Out,Dt[Tmp:Nnew[J]])",[],
+ "}",[],
+ "Tmp=max(c(Nsame[-1],Nnew[-1]))+1",[],
+ "Out=c(Out,Dt[Tmp:length(Dt)])",[],
+ "writeLines(Out,'"+fout+"',sep='\n')",[],
+ "cat('////',file='resultR.txt',sep='')",[],
+ "quit()",[]
+ ];
+ CalcbyR("out",cmdL,append(options,"Cat=n"));
+ wait(1000);
+ Changework(dirtop);//17.04.10
+ tmp=replace(fout,".tex","");
+ if(iswindows(),
+ Makebat(tmp,"tv");
+ ,
+ Makeshell(tmp,"tv");
+ );
+ kc();
+ Changework(dirworkorg);//17.04.10
+);
+
+Example(exorg):=Example(exorg,"");
+Example(exorg,suborg):=(
+//help:Example("Mxfun","diff");
+ regional(ex,tmp,tmp1,tmp2);
+ ex=replace(exorg,"'",Dq);
+ sub=replace(suborg,"'",Dq);
+ setdirectory(Dirlib);
+ tmp=load("examples.txt");
+ setdirectory(Dirwork);
+ tmp=tokenize(tmp,"//");
+ tmp=tmp_(1..(length(tmp)-1));
+ tmp1=select(tmp,substring(#,0,length(ex))==ex);
+ tmp1=sort(tmp1);
+ if(length(sub)>0,
+ tmp1=select(tmp1,indexof(#,sub)>0);
+ );
+ forall(tmp1,
+ if((indexof(#,"##")>0) % (indexof(#,"~#")>0),
+ tmp=indexof(#,",");
+ println(substring(#,tmp,length(#)));
+ ,
+ println(#);
+ );
+ );
+);
+
+BBdata():=Bbdata(BBTarget,0);
+BBdata(fname):=Bbdata(fname,0); // 16.04.09
+BBdata(fname,optionorg):=(
+//help:BBdata(filename);
+//help:BBdata(options=0(automatic),1(make),"w=","h=");
+ regional(fout,flg,path,file,kcfile,options,eqL,reL,stL,
+ waiting,addop,tmp,tmp1,tmp2);
+ path="";
+ file=fname;
+ flg=0;
+ waiting=2;
+ forall(reverse(1..length(fname)),
+ if(flg==0,
+ tmp=substring(fname,#-1,#);
+ if(tmp=="/" % tmp=="\", // 14.01.15
+ path=substring(fname,0,#-1);
+ file=substring(fname,#,length(fname));
+ flg=1;
+ );
+ );
+ );
+ if(path=="",path=Dirwork);//16.10.05
+ if(indexof(file,".")==0,file=file+".pdf");
+ if(islist(optionorg),options=optionorg,options=[optionorg]);
+ tmp=divoptions(options);
+ eqL=tmp_5;
+ reL=tmp_6;
+ stL=tmp_7;
+ flg=0;
+ addop="";
+ if(length(reL)>0,
+ tmp=reL_1;
+ if(tmp==1,flg=1);
+ );
+ forall(stL,
+ tmp=Toupper(substring(#,0,1));
+ if(tmp=="M",flg=1);
+ );
+ forall(eqL,
+ tmp=indexof(#,"=");
+ tmp1=Toupper(substring(#,0,2));
+ tmp2=substring(#,tmp,length(#));
+ if(tmp1=="W=",
+ addop=addop+",width="+tmp2;
+ options=remove(options,[#]);
+ );
+ if(tmp1=="H=",
+ addop=addop+",height="+tmp2;
+ options=remove(options,[#]);
+ );
+ );
+ tmp=indexof(file,".");
+ tmp1=substring(file,0,tmp-1);
+ fout=tmp1+".txt";
+ if(iswindows(),
+ kcfile="kc.bat";
+ ,
+ kcfile="kc.sh";
+ );
+ if(flg==0,
+ tmp=load(fout); //
+ if(length(tmp)==0,
+ flg=1;
+ ,
+ tmp=tokenize(tmp,"%%");
+ tmp=tmp_2;
+ tmp1=indexof(tmp,":");
+ tmp=substring(tmp,tmp1,length(tmp));
+ tmp=Removespace(tmp);
+ if(tmp!=file,flg=1);
+ );
+ );
+ if(length(path)==0,
+ path=Dirwork;
+ );
+ if(flg==1,
+ setdirectory(path);
+ tmp=load(file);
+ setdirectory(Dirwork);
+ if(length(tmp)==0,
+ println(" => "+file+" not exists");
+ flg=-1;
+ );
+ );
+ if(flg==1,
+ SCEOUTPUT = openfile(kcfile);
+ if(!iswindows(),
+ println(SCEOUTPUT,"#!/bin/sh");
+ );
+ println(SCEOUTPUT,"cd "+Dq+path+Dq);
+ tmp=replace(PathT,"pdflatex","extractbb"); //16.11.22
+ tmp=replace(tmp,"pdftex","extractbb"); //16.11.22
+ tmp=replace(tmp,"xelatex","extractbb");
+ tmp=replace(tmp,"uplatex","extractbb"); //17.09.20
+ tmp=replace(tmp,"platex","extractbb");
+ tmp=replace(tmp,"latex","extractbb");
+ tmp=tmp+" -O "+file;
+ if(iswindows(),
+ tmp=tmp+" > "+Dirwork+"\"+fout;
+ ,
+ tmp=tmp+" > "+Dirwork+"/"+fout;
+ );
+ println(SCEOUTPUT,tmp);
+ println(SCEOUTPUT,"exit 0");
+ closefile(SCEOUTPUT);
+ kc(Dirwork+"/"+kcfile,Mackc+Dirlib,Fnametex); // 16.06.07
+ );
+ if(flg>=0,
+ tmp1=0;
+ repeat(floor(waiting*1000/WaitUnit),
+ if(tmp1==0,
+ wait(10);
+ tmp=load(fout);
+ if(indexof(tmp,"CreationDate")>0,
+ tmp1=1;
+ );
+ );
+ );
+ if(length(tmp)==0,
+ println(fout+" not generated. Maybe "+kcfile+" not run.");
+ ,
+ tmp=tokenize(tmp,"%%");
+ tmp=select(tmp,indexof(#,"Bounding")>0);
+ tmp=tmp_2; //
+ tmp1=indexof(tmp,":");
+ tmp=substring(tmp,tmp1,length(tmp));
+ tmp=removespace(tmp);
+ tmp=tokenize(tmp," ");
+ tmp1="";
+ forall(tmp,
+ tmp1=tmp1+Sprintf(#,2)+" ";
+ );
+ tmp1=removespace(tmp1)+addop;
+ tmp2="\includegraphics[bb="+tmp1+"]{"+file+"}";
+ println(tmp2);
+ );
+ );
+// setdirectory(Dirwork);
+ tmp2; // 16.04.25
+);
+
+//help:end();
+
diff --git a/Master/texmf-dist/scripts/ketcindy/ketlib/ketcindylibhelpE.txt b/Master/texmf-dist/scripts/ketcindy/ketlib/ketcindylibhelpE.txt new file mode 100644 index 00000000000..0c89e3e75ed --- /dev/null +++ b/Master/texmf-dist/scripts/ketcindy/ketlib/ketcindylibhelpE.txt @@ -0,0 +1,115 @@ +//help:start(); +//help:drawimage*(import image into the screen); +//help:drawtext*(write letters on the screen); +//help:Option1*(specify the style of drawing lines); +//help:Option2*(specify the way of writing data out); +//help:Option3*(specify the way of reading and writing data in); +//help:Changestyle*(change the style for drawing plot data); +//help:Workprocess*(display the process of execution); +//help:Textformat*(convert number into string with specific number of digits); +//help:Assign*(replace the name of variable in the string by some specific value); +//help:Flattenlist*(flatten the list of data); +//help:Dotprod*(inner product); +//help:Crossprod*(exterior product); +//help:Ptstart*(starting point of plot data); +//help:Ptend*(ending point of plot data); +//help:Numptcrvtenn*(number of points in plot data); +//help:Ptcrv*(the n-th point of plot data); +//help:Invert*(reverse the orientation of curve); +//help:ParamonCurve*(information (parameter value etc.) of the point in plot data); +//help:PointonCurve*(the point in the plot data specified by the given information); +//help:Nearestptcrv*(the point in the curve which is nearest to the given point); +//help:Nearestpt*(the points in two given curves which are nearest each other); +//help:Derivative*(calculate the differential coefficient); +//help:Integrate*(numerical integration); +//help:Findarea*(calculate the area of the region surrounded by a closed curve); +//help:Findlength*(calculate the length of curve); +//help:Com2nd*(add the R command to write out plot data into TeX); +//help:Texcom*(write command into TeX output exactly as written here); +//help:Setunitlen*(specify the unit length); +//help:Setmarklen*(specify the unit length of the tickmarks on coordinate axis); +//help:Setorigin*(specify the position the origin); +//help:Fontsize*(specify the size of font); + //help:Setpen*(specify the thickness of line); +//help:Setpt*(specify the size of point); +//help:Definecolor*(define the color for user's own use); +//help:Setcolor*(specify the color); +//help:Joincrvs*(join curves); +//help:Partcrv*(cut out some part of the curve); +//help:Pointdata*(generate the plot data of point +//additional option : "Size="); +//help:Listplot*(generate the plot data of a polyline); +//help:Lineplot*(generate the plot data of line); +//help:Plotdata*(generate the plot data of function +//additional option : "Num=", "Exc=", "Dis="); +//help:Paramplot*(generate the plot data of parametric function +//additional option : "Num=", "Exc=", "Dis="); +//help:Circledata*(generate the plot data of circle +//additional option : "Num=", "Rng="); +//help:Framedata*(generate the plot data of rectangle); +//help:Ovaldata*(generate the plot data of oval shape); +//help:Arrowhead*(generate the plot data of arrowhead +//option : size, sharpness, shape and position in the arrow); +//help:Arrowdata*(generate the plot data of arrow line +//option : size of arrowhead, sharpness(angle),position of arrowhead); +//help:Anglemark*(generate the plot data of angle mark option : size); +//help:Paramark*(generate the plot data of right angle mark option : size); +//help:Bowdata*(generate the plot data of bow arched curve +//option : curvatute, size of the blank space, letter); +//help:Deqplot*(generate the solution curve of differential equation +//additional option : "Num="); +//help:Hatchdata*(add hatching into some region +// option : slope, degree, space betwen lines)); +//help:Enclosing*(generate the plot data of closed curve connecting some curves); +//help:Shade*(add shading into some region option : depth); +//help:Rotatepoint*(rotate the point, option : center); +//help:Translatepoint*(pararell transport of the point); +//help:Scalepoint*(magnify or reduce the position of point option : center); + //help:Reflectpoint*(reflect the point); +//help:Rotatedata*(rotate the plot data option : center); +//help:Scaledata*(magnify or reduce the plot data option : center); +//help:Reflectdata*(reflect the plot data); +//help:Mksegments*(generate the plot data of all segments on the screen); +//help:Mkcircles*(generate the plot data of all circles on the screen): +//help:Setax*(specify the setting of coordinate axes); +//help:Htickmark*(put a tickmark on the horizontal coordinate axis); +//help:Vtickmark*(put a tickmark on the vertical coordinate axis); +//help:Drwxy*(draw coordinate axes); +//help:Addax*(specify whether coordinate axes are drawn or not); +//help:Expr*(write mathematical expressions at a specific position); +//help:Letter*(write letters at a specific position); +//help:Letterrot*(write sloped letters at a specific position): +//help:Exprrot*(write sloped mathematical expressions at a specific position): +//help:Putpoint*(put a point at the specific position); +//help:Bezier*(generate the plot data of Bezier curve); +//help:Mkbezierptcrv*(generate the plot data of Bezier curve by automatically taking controll points); +//help:CRspline*(generate the plot data of Catmull-Rom spline curve); +//help:Beziersmooth*(generate the plot data of Bezier spline curve); +//help:Bspline*(generate the plot data of B-spline curve); +//help:PtonLine*(put a point on a specific line); +//help:PtonSeg*(put a point on a specific segment); +//help:PutonCurve*(put a point on a specific curve); +//help:Setscaling*(specify the rate of magnification in the vertical direction); + //help:Tabledatalight*(generate the plot data of table without geometric points + //additional option : rules to be removed); + //help:Tgrid*(return the coordinates of a cell in the table); + //help:Tlistplot*(draw segment connecting two lattice points in the table); +//help:ChangeTablestyle*(change the style for drawing rules in the table); +//help:Tabledata*(generate the plot data of table with geometric points + //option : usual options+rules to be removed); +//help:Tabledata*(xLst=apply(1..5,10);yLst=apply(1..4,8);rmvL=[];); +//help:Findcell*(return the information of a cell in the table); +//help:Putcell*(write letters in a specific cell of the table); +//help:Putcellexpr*(write mathematical expressions in a specific cell of the table); +//help:Putrow*(write letters in a specific row of the table)); +//help:Putrowexpr*(write mathematical expressions in a specific row of the table); +//help:PutcoL*(write letters in a specific column of the table)); +//help:PutcoLexpr*(write mathematical expressions in a specific column of the table)); +//help:Setwindow*(specify the area of drawing); +//help:Defvar*(the definition of a variable is called by R); +//help:Deffun*(the definition of a function is called by R); +//help:Extractdata*(endow attribute to the imported plot data); +//help:ReadOutData*(import the plot data); +//help:WriteOutData*(export the plot data); +//help:Removespace*(remove spaces of in front and behind); +//help:end(); diff --git a/Master/texmf-dist/scripts/ketcindy/ketlib/ketcindylibhelpJ.txt b/Master/texmf-dist/scripts/ketcindy/ketlib/ketcindylibhelpJ.txt new file mode 100644 index 00000000000..93e5e323add --- /dev/null +++ b/Master/texmf-dist/scripts/ketcindy/ketlib/ketcindylibhelpJ.txt @@ -0,0 +1,139 @@ +//help:start(); +//help:drawimage*(ç”»åƒã‚’ç”»é¢ã«èªã¿è¾¼ã‚€); +//help:drawtext*(ç”»é¢ã«æ–‡å—を書ã込む); +//help:Option1*(線種を指定.コマンドã®ã‚ªãƒ—ション); +//help:Option2*(書ã出ã—を指定.コマンドã®ã‚ªãƒ—ション); +//help:Option3*(外部ファイルã®èªè¾¼ï¼æ›¸è¾¼ã®æŒ‡å®šï¼Žã‚³ãƒžãƒ³ãƒ‰ã®ã‚ªãƒ—ション); +//help:Changestyle*(プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã®ã‚ªãƒ—ションを変更); +//help:Workprocess*(å®Ÿè¡Œæ‰‹é †ã‚’è¡¨ç¤º); +//help:Textformat*(数値ã®æ–‡å—列化ã§æ¡æ•°æŒ‡å®š); +//help:Assign*(æ–‡å—列内ã®å¤‰æ•°ã¸ã®å‰²å½“ã¦); +//help:Flattenlist*(データリストを平å¦åŒ–); +//help:Dotprod*(内ç©); +//help:Crossprod*(外ç©); +//help:Ptstart*(プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã®å§‹ç‚¹); +//help:Ptend*(プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã®çµ‚点); +//help:Numptcrvtenn*(プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã®ç‚¹ã®æ•°); +//help:Ptcrv*(プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã®n番目ã®ç‚¹); +//help:Invert*(プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã®å‘ãを逆ã«ã™ã‚‹); +//help:ParamonCurve*(プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ä¸Šã®ç‚¹ã®æƒ…å ±); +//help:PointonCurve*(プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ä¸Šã®æƒ…å ±ã«ã‚ˆã‚‹ç‚¹); +//help:Nearestptcrv*(点ã«ã¤ã„ã¦ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ä¸Šã®æœ€è¿‘点); +//help:Nearestpt*(2曲線ã®æœ€è¿‘点); +//help:Derivative*(微分係数); +//help:Integrate*(数値ç©åˆ†); +//help:Findarea*(閉曲線ã«å›²ã¾ã‚ŒãŸé¢ç©); +//help:Findlength*(曲線ã®é•·ã•); +//help:Com2nd*(TeXã®æ›¸ã出ã—コマンドを入れる); +//help:Texcom*(TeXã®ã‚³ãƒžãƒ³ãƒ‰ã‚’直接記述); +//help:Setunitlen*(å˜ä½é•·ã‚’指定); +//help:Setmarklen*(å¾®å°å˜ä½é•·ã‚’指定); +//help:Setorigin*(原点ã®ä½ç½®ã‚’指定); +//help:Fontsize*(フォントサイズを指定); + //help:Setpen*(ç·šã®å¤ªã•ã‚’指定); +//help:Setpt*(点ã®å¤§ãã•ã‚’指定); +//help:Definecolor*(ユーザー色を定義); +//help:Setcolor*(色を指定); +//help:Joincrvs*(曲線をã¤ãªã’ã‚‹); +//help:Partcrv*(部分曲線を作る); +//help:Pointdata*(点データを表示ï¼ä½œæˆ +//è¿½åŠ ã‚ªãƒ—ã‚·ãƒ§ãƒ³ : "Size="); +//help:Listplot*(線分や折れ線データを作æˆ); +//help:Lineplot*(直線データを作æˆ); +//help:Plotdata*(関数ã®ã‚°ãƒ©ãƒ•ã‚’ä½œæˆ +//è¿½åŠ ã‚ªãƒ—ã‚·ãƒ§ãƒ³ : "Num=", "Exc=", "Dis="); +//help:Paramplot*(媒介変数ã®é–¢æ•°ã®ã‚°ãƒ©ãƒ•ã‚’ä½œæˆ +//è¿½åŠ ã‚ªãƒ—ã‚·ãƒ§ãƒ³ : "Num=", "Exc=", "Dis="); +//help:Circledata*(円ã®ãƒ‡ãƒ¼ã‚¿ã‚’ä½œæˆ +//è¿½åŠ ã‚ªãƒ—ã‚·ãƒ§ãƒ³ : "Num=", "Rng="); +//help:Framedata*(長方形ã®ãƒ‡ãƒ¼ã‚¿ã‚’作æˆ); +//help:Ovaldata*(オーãƒãƒ«ãƒ‡ãƒ¼ã‚¿ã‚’作æˆ); +//help:Arrowhead*(éƒã‚’ä½œæˆ +//オプション : 大ãã•ï¼Œé–‹ã角,形状ã¨ä½ç½®); +//help:Arrowdata*(矢å°ã‚’ä½œæˆ +//オプション : 大ãã•ï¼Œé–‹ã角,矢ã˜ã‚Šä½ç½®); +//help:Anglemark*(角度マークを作æˆ. オプション : 角ã®å°ã®å¤§ãã•); +//help:Paramark*(垂直マークを作æˆ. オプション : 角ã®å°ã®å¤§ãã•); +//help:Bowdata*(弓形をæã +//オプション : 曲ãŒã‚Šï¼Œç©ºç™½ã‚µã‚¤ã‚ºï¼Œæ–‡å—); +//help:Deqplot*(微分方程å¼ã®è§£æ›²ç·šã‚’ä½œæˆ +//è¿½åŠ ã‚ªãƒ—ã‚·ãƒ§ãƒ³ : "Num="); +//help:Hatchdata*(斜線塗り. オプション : 傾ã(度),間隔); +//help:Enclosing*(複数曲線をã¤ãªã’ã¦é–‰æ›²ç·šã‚’作æˆ); +//help:Shade*(シェーディング. オプション : 濃ã•); +//help:Rotatepoint*(点を回転. オプション : ä¸å¿ƒ); +//help:Translatepoint*(点を平行移動); +//help:Translatedata*(プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã‚’平行移動); +//help:Scalepoint*(点を縮å°ï¼æ‹¡å¤§. オプション : ä¸å¿ƒ); +//help:Reflectpoint*(点をé¡æ˜ ); +//help:Rotatedata*(プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã‚’回転. オプション : ä¸å¿ƒ); +//help:Scaledata*(プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã‚’縮å°ï¼æ‹¡å¤§. オプション : ä¸å¿ƒ); +//help:Reflectdata*(プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã‚’é¡æ˜ ); +//help:Mksegments*(ç”»é¢ã«ã‚ã‚‹ã™ã¹ã¦ã®ç·šåˆ†ãƒ‡ãƒ¼ã‚¿ã‚’作æˆ); +//help:Mkcircles*(ç”»é¢ã«ã‚ã‚‹ã™ã¹ã¦ã®å††ãƒ‡ãƒ¼ã‚¿ã‚’作æˆ): +//help:Setax*(座標軸を指定); +//help:Htickmark*(横軸ã«ç›®ç››ã‚Šã‚’æã); +//help:Vtickmark*(縦軸ã«ç›®ç››ã‚Šã‚’æã); +//help:Drwxy*(座標軸をæã); +//help:Addax*(座標軸をæãã‹æã‹ãªã„ã‹ã®æŒ‡å®š); +//help:Expr*(æ•°å¼ã‚’書ã込む); +//help:Letter*(æ–‡å—を書ã込む); +//help:Letterrot*(傾ã„ãŸæ–‡å—を書ã込む): +//help:Exprrot*(傾ã„ãŸæ•°å¼ã‚’書ã込む): +//help:Putpoint*(幾何点をã¨ã‚‹); +//help:Bezier*(ベジェ曲線データを作æˆ); +//help:Mkbezierptcrv*(制御点を自動的ã«ã¨ã£ã¦ãƒ™ã‚¸ã‚§ã‚’作æˆ); +//help:CRspline*(Catmull-Romスプラインを作æˆ); +//help:Beziersmooth*(ベジェスプラインを作æˆ); +//help:Bspline*(B-スプラインを作æˆ); +//help:PtonLine*(直線上ã«ç‚¹ã‚’ã¨ã‚‹); +//help:PtonSeg*(線分上ã«ç‚¹ã‚’ã¨ã‚‹); +//help:PutonCurve*(曲線上ã«ç‚¹ã‚’ã¨ã‚‹); +//help:Setscaling*(縦方å‘ã®å€çŽ‡ã‚’指定); + //help:Tabledatalight*(幾何点をもãŸãªã„è¡¨ãƒ‡ãƒ¼ã‚¿ä½œæˆ + //è¿½åŠ ã‚ªãƒ—ã‚·ãƒ§ãƒ³ : ラベルã®ã¨ã³ï¼Œæç”»é ˜åŸŸã‚’è¡¨ã«åˆã‚ã›ã‚‹ã‹); + //help:Tgrid*(表ã®ã‚»ãƒ«ã®åº§æ¨™ã‚’è¿”ã™); + //help:Tlistplot*(表ã®2æ ¼å点をçµã¶ç·šåˆ†); +////help:ChangeTablestyle*(表ã®ç½«ç·šã®ã‚¹ã‚¿ã‚¤ãƒ«å¤‰æ›´); +//help:Tabledata*(幾何点をもã¤è¡¨ãƒ‡ãƒ¼ã‚¿ã‚’ä½œæˆ + //è¿½åŠ ã‚ªãƒ—ã‚·ãƒ§ãƒ³ : ラベルã®ã¨ã³ï¼Œæç”»é ˜åŸŸã‚’è¡¨ã«åˆã‚ã›ã‚‹ã‹); +//help:Tabledata*(xLst=apply(1..5,10);yLst=apply(1..4,8);rmvL=[];); +//help:Findcell*(表ã®ã‚»ãƒ«ã®æƒ…å ±ã‚’è¿”ã™); +//help:Putcell*(表ã®ã‚»ãƒ«ã«æ–‡å—を書ã入れる); +//help:Putcellexpr*(表ã®ã‚»ãƒ«ã«æ•°å¼ã‚’書ã入れる); +//help:Putrow*(表ã®è¡Œã«æ–‡å—を書ã入れる)); +//help:Putrowexpr*(表ã®è¡Œã«æ•°å¼ã‚’書ã入れる); +//help:PutcoL*(表ã®åˆ—ã«æ–‡å—を書ã入れる)); +//help:PutcoLexpr*(表ã®åˆ—ã«æ•°å¼ã‚’書ã入れる)); +//help:Setwindow*(æç”»é ˜åŸŸã‚’æŒ‡å®š); +//help:Defvar*(変数をRã«æ¸¡ã™); +//help:Deffun*(関数をRã«æ¸¡ã™); +//help:Extractdata*(èªã¿è¾¼ã‚“ã データã«å±žæ€§ã‚’与ãˆã‚‹); +//help:ReadOutData*(データをèªã¿è¾¼ã‚€); +//help:WriteOutData*(データを書ã出ã™); +//help:Removespace*(å‰å¾Œã®ã‚¹ãƒšãƒ¼ã‚¹ã‚’除ã); +//help:Drawlinetype*(線種を指定ã—ã¦æ›²ç·šã‚’æã); +//help:Intersectcrvs*(交点リストを求ã‚ã‚‹); +//help:IntersectcrvsPp*(交点ã¨ãƒ‘ラメータ値ã®ãƒªã‚¹ãƒˆã‚’求ã‚ã‚‹); +//help:Implicitplot*(陰関数ã®ã‚°ãƒ©ãƒ•ã‚’æã); +//help:Boxplot*(箱ヒゲ図をæã(R使用)); +//help:CalcbyR*(Rã®ã‚³ãƒžãƒ³ãƒ‰ã‚’実行ã—ã¦çµæžœã‚’è¿”ã™); +//help:CalcbyS*(Scilabã®ã‚³ãƒžãƒ³ãƒ‰ã‚’実行ã—ã¦çµæžœã‚’è¿”ã™); +//help:Framedata2*(左下ã¨å³ä¸Šã®ç‚¹ã§é•·æ–¹å½¢ã‚’æã); +//help:HIstplot*(ヒストグラムをæã(R使用)); +//help:Hyperbolaplot*(åŒæ›²ç·šã‚’æã); +//help:Ellipseplot*(楕円をæã); +//help:Ospline*(Oshimaã®ã‚¹ãƒ—ラインをæã); +//help:Parabolaplot*(放物線をæã); +//help:PlotdataR*(Rã®é–¢æ•°ã®ã‚°ãƒ©ãƒ•ã‚’æã); +//help:Polygonplot*(æ£å¤šè§’形をæã); +//help:Putintersect*(交点ã«å¹¾ä½•ç‚¹ã‚’ã¨ã‚‹); +//help:Rulerscale*(点ã®å³ã¨ä¸Šã«ç›®ç››ã‚’æã); +//help:Segmark*(線分ã«ãƒžãƒ¼ã‚¯ã‚’ã¤ã‘ã‚‹); +//help:Sprintf*(å°æ•°ç‚¹ä»¥ä¸‹ã®é•·ã•ã‚’固定ã—ãŸæ–‡å—列ã«å¤‰æ›); +//help:Readcsv*(csvファイルをèªã¿è¾¼ã¿); +//help:Writecsv*(csvファイルを書ãè¾¼ã¿); +//help:Drwpt*(点をTeXã«æã.オプション:白抜ã 0); + + +//help:end(); diff --git a/Master/texmf-dist/scripts/ketcindy/ketlib/ketcindylibmvhelpE.txt b/Master/texmf-dist/scripts/ketcindy/ketlib/ketcindylibmvhelpE.txt new file mode 100644 index 00000000000..9a7edb2e99f --- /dev/null +++ b/Master/texmf-dist/scripts/ketcindy/ketlib/ketcindylibmvhelpE.txt @@ -0,0 +1,4 @@ +//help:start(); +//help:Moviedata*(generate movie/para data); +//help:Paraamble*(Define preamble and postamble); +//help:end(); diff --git a/Master/texmf-dist/scripts/ketcindy/ketlib/ketcindylibmvhelpJ.txt b/Master/texmf-dist/scripts/ketcindy/ketlib/ketcindylibmvhelpJ.txt new file mode 100644 index 00000000000..354d6596a77 --- /dev/null +++ b/Master/texmf-dist/scripts/ketcindy/ketlib/ketcindylibmvhelpJ.txt @@ -0,0 +1,4 @@ +//help:start(); +//help:Moviedata*(movieデータを定義 +//オプション : "Cut=1秒ã®ã‚³ãƒžæ•°(20)", "Div=全体ã®ã‚³ãƒžæ•°(80)"); +//help:end(); diff --git a/Master/texmf-dist/scripts/ketcindy/ketlib/ketcindylibmvlogr.txt b/Master/texmf-dist/scripts/ketcindy/ketlib/ketcindylibmvlogr.txt new file mode 100644 index 00000000000..70b42e5ad65 --- /dev/null +++ b/Master/texmf-dist/scripts/ketcindy/ketlib/ketcindylibmvlogr.txt @@ -0,0 +1,28 @@ +//2017.12.09 +// Parafolder debugged (Viewtex ->WritetoRS) +// Mkanimation debugged ( \ -> / for windows ) +//2017.12.07 +// Setpara options changed +// Animatefile changed (\figsize, OpA) +//2017.11.24 +// Mkflipanime added +// Old movie function removed +// Flipbook removed +// Mkanimation changed (for R) +//2017.11.21 +// Ketinitmv, Paraamble, Mkmovie changed (for R) +//2017.11.03 +// Mkanimation changed (ketpic.sty etc ) +//2017.10.28 +// Parafolder changed (timing of display of counter,time) +//2017.10.24 +// Parafolder changed (file.exists added) +//2017.10.14 +// Mkanimation changed ("Rem=" option added) +//2017.10.13 +// Ketinitmv changed (Shellfile removed) +// Parafolder debugged +//2017.10.12 +// Parafolder changed ( cmdL for making TeX files) +//2017.10.08 +// Mkanimation added diff --git a/Master/texmf-dist/scripts/ketcindy/ketlib/ketcindylibmvr.cs b/Master/texmf-dist/scripts/ketcindy/ketlib/ketcindylibmvr.cs new file mode 100644 index 00000000000..e9978e7b653 --- /dev/null +++ b/Master/texmf-dist/scripts/ketcindy/ketlib/ketcindylibmvr.cs @@ -0,0 +1,564 @@ +// Copyright (C) 2014 Masataka Kaneko, Setsuo Takato, KETCindyJapan project team +// +//This program is free software: you can redistribute it and/or modify +// it under the terms of the GNU General Public License as published by +// the Free Software Foundation; either version 3 of the License, or +// (at your option) any later version. +// +// This program is distributed in the hope that it will be useful, +// but WITHOUT ANY WARRANTY; without even the implied warranty of +// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the +// GNU General Public License for more details. +// +// You should have received a copy of the GNU General Public License +// along with this program. If not, see <http://www.gnu.org/licenses/> +// + +println("ketcindymv(20171124) loaded"); + +//help:start(); + +Setpara(path,fstr,sL):=Setpara(path,fstr,sL,[],[]); // 16.12.27added +Setpara(pathorg,fstr,sL,options):= //17.11.25(3lines) + Setpara(pathorg,fstr,sL,options,[]); +Setpara(pathorg,fstr,sL,options,optionsanim):=( +//help:Setpara("folder name","funstr","range",options,optionsanim); +//help:Setpara(folder,funstr,range,options); +//help:Setpara(options=["m/r","Div=25"]); +//help:Setpara(options2anim1=["Frate=10","Scale=1"]); +//help:Setpara(options2anim2=["OpA=[loop,controls,buttonsize=3mm]"]); +//help:Setpara(options2anim3=["OpA=+step"]); +//help:Setpara(options2anim4=["Mag=1600","Title=folder"]); + regional(path);//17.04.10 + if(length(pathorg)==0, path=Slidename,path=pathorg);//17.04.10 + ParaPath=path; + ParaFstr=fstr; + ParaSL=sL; + ParaOp=options; + ParaOpAnim=optionsanim; //17.11.25 + GLISTback=GLIST; + GCLISTback=GCLIST; + GOUTLISTback=GOUTLIST; + POUTLISTback=POUTLIST; + VLISTback=VLIST; + FUNLISTback=FUNLIST; + LETTERlistback=LETTERlist; + COM0thlistback=COM0thlist; + COM1stlistback=COM1stlist; + COM2ndlistback=COM2ndlist; +); + +Parafolder():=Parafolder(ParaPath,ParaFstr,ParaSL,ParaOp); +Parafolder(path,fstr,sL):=Parafolder(path,fstr,sL,[]); +Parafolder(path,fstr,sLorg,optionorg):=( +//help:Parafolder(foldername,1..4); +//help:Parafolder(foldername,"s=[0,1]"); +//help:Parafolder("mf(s)",foldername,"s=[0,1]"); +//help:Parafolder(options=["m/r","Div=25","Wait=20"]); +//help:Paraslide(para=folder:layery:pos:input,scale); +//help:Paraslide(para=folder:layery:pos:include:[width=100]); + regional(nn,sL,tmp,tmp1,tmp2,strL,eqL,waiting, + mkr,mktex,ndiv,options,sfL); + if(!isstring(ParaPath), + println("Setpara not executed"); + , + sL=sLorg;//16.12.24from + if(!isstring(sL), + tmp=indexof(fstr,"("); + tmp1=substring(fstr,tmp,length(fstr)); + tmp=indexof(tmp1,")"); + tmp1=substring(tmp1,0,tmp-1); + , + tmp=indexof(sL,"=");//16.12.21from + if(length(tmp)>0, + tmp1=substring(sL,0,tmp-1); + ); + ); + parse("Movieframe("+tmp1+"):="+fstr); + options=optionorg; + tmp=Divoptions(options); + eqL=tmp_5; + strL=tmp_7; + if(length(strL)==0,options=append(options,"m"));//16.12.18 + mkr="A"; + mktex="A"; + ndiv=25; + waiting=20; + forall(eqL, + tmp=Indexof(#,"="); + tmp1=Toupper(substring(#,0,1)); + tmp2=substring(#,tmp,length(#)); + if(tmp1=="D", + ndiv=parse(tmp2); + options=remove(options,[#]); + ); + if(tmp1=="W", + waiting=parse(tmp2); + options=remove(options,[#]); + ); + ); + forall(strL, + tmp1=Toupper(substring(#,0,1)); + if(tmp1=="M", + mkr="Y"; mktex="Y"; + ); + ); + sL=sLorg; + if(isstring(sL), + tmp=indexof(sL,"="); + tmp1=parse(substring(sL,tmp,length(sL))); + sL=apply(0..ndiv,tmp1_1+#*(tmp1_2-tmp1_1)/ndiv); + ); + if(!isexists(Dirwork,path), + if(ErrFlag!=-1, + makedir(Dirwork,path) + , + println(" ==> Changework may not work properly"); + sL=[]; + ); + , + tmp=fileslist(Dirwork+pathsep()+path); //17.12.09(3lines); + tmp=length(tmp); + if((mkr=="Y") & (tmp>0), + tmp1=replace(Dirwork,"\","/");//17.10.13 + cmdL=[ + "setwd",[Dq+tmp1+"/"+path+Dq], + "fL=as.matrix(list.files())",[], + "apply",["fL",2,"file.remove"], + "setwd",[Dq+tmp1+Dq], + ]; + CalcbyR("rvf",cmdL,["Cat=n","m"]); + tmp=Dirwork+pathsep()+path; + repeat(1..30, + if(length(fileslist(tmp))>0,wait(10)); + ); + );//17.02.20until + ); + sfL=[]; + forall(1..(length(sL)),nn, + GLIST=GLISTback; + GCLIST=GCLISTback; + GOUTLIST=GOUTLISTback; + POUTLIST=POUTLISTback; + VLIST=VLISTback; + FUNLIST=FUNLISTback; + LETTERlist=LETTERlistback; + COM0thlist=COM0thlistback; + COM1stlist=COM1stlistback; + COM2ndlist=COM2ndlistback; + tmp1=Sprintf(nn/1000,3); + tmp=indexof(tmp1,"."); + tmp1=substring(tmp1,tmp,length(tmp1)); + FnameR=path+"/p"+tmp1+".r"; + sfL=append(sfL,FnameR); + Fnametex=replace(FnameR,".r",".tex"); + Movieframe(sL_nn); //17.10.13 + if(!isexists(Dirwork,FnameR) % mkr=="Y", + if(ErrFlag!=-1, + WritetoRS(2); //17.12.09 + ); + ); + ); + tmp1=replace(Dirwork,"\","/"); //17.10.13 + cmdL=[ + "setwd",[Dq+tmp1+"/"+path+Dq], + "Mkallfile=function(fname){",[], + " Ctr<<- Ctr+1",[], + " tmp=readLines(fname)",[], + " first=1",[], + " if(Ctr>1){",[], + " first=7",[], + " cat('Ketinit()\n',file='all.r',append=TRUE)",[], + " }",[], + " for(J in first:(length(tmp)-1)){",[], + " cat(paste(tmp[J],'\n',sep=''),file='all.r',append=TRUE)",[], + " }",[], + " cat('print(',Ctr,')\n',file='all.r',append=TRUE)",[], + " Tmp=proc.time()-Tm",[], + " cat('print(',Tmp[3],')\n',file='all.r',append=TRUE)",[], + "}",[], + "if(file.exists('all.r')){file.remove('all.r')}",[], //17.10.24 + "fL=list.files()",[], + "Ctr=0",[], + "Tm<-invisible(proc.time())",[], + "for(fname in fL){",[], + " if(length(grep('.r',fname))>0){Mkallfile(fname)}",[], // 17.11.24 + "}",[], + "source('all.r')",[], + "setwd",[Dq+tmp1+Dq] + ]; + if(ErrFlag!=-1, + if(!isexists(Dirwork,Fnametex) % mktex=="Y", + CalcbyR("all",cmdL,["Cat=n","m","Wait="+text(waiting)]); + , + println("Parafolder "+path+" finished");//16.12.20 + ); + if(length(after)>0, // 16.12.27 + parse(after); + ); + FnameR=Fhead+".r"; + Fnametex=Fhead+".tex"; + ); + ); +); + +Animatefile():=Animatefile(Dirwork,ParaPath); +Animatefile(path,folder):=( +//help:Animatefile(); +//help:Animatefile(Dirwork,ParaPath); + regional(FRate, Scale, OpA, pa,fname,eqL,tmp,tmp1,tmp2); + tmp=divoptions(ParaOpAnim); //17.11.24 + eqL=tmp_5; + FRate="10"; + Scale="1"; + OpA="loop,controls,buttonsize=3mm"; + remflg=0; + forall(eqL, + tmp1=Toupper(substring(#,0,2)); + tmp=indexof(#,"="); + tmp2=substring(#,tmp,length(#)); + if(tmp1=="FR", + FRate=tmp2; + ); + if(tmp1=="SC", + Scale=tmp2; + ); + if(tmp1=="OP", // 17.12.07from + if(length(tmp2)>0, + tmp2=replace(tmp2,"[",""); + tmp2=replace(tmp2,"]",""); + if(substring(tmp2,0,1)=="+", + OpA=OpA+","+substring(tmp2,1,length(tmp2)); + , + OpA=tmp2; + ); + ); + ); + ); + if(length(OpA)>0,OpA="["+OpA+"]"); + pa=replace(path,"\","/"); + fname="anim"+folder+".tex"; + tmp=Dirwork+"/"+folder; + path=replace(tmp,"\","/"); + if(iswindows(),tmp=replace(tmp,"/","\")); + tmp1=fileslist(tmp); + tmp1=tokenize(tmp1,","); + tmp1=select(tmp1,indexof(#,".tex")>0); + SCEOUTPUT= openfile(fname); + println(SCEOUTPUT,"\def\parapath{"+pa+"}%"); //17.06.22 + println(SCEOUTPUT,"\def\figsize{"+Scale+"}%"); //17.12.07 + println(SCEOUTPUT,"\begin{animateinline}"+OpA+"{"+FRate+"}%"); + forall(1..(length(tmp1)), + if(Scale==1, // 17.08.30from + tmp="\input{\parapath/"; + tmp=tmp+folder+"/"+tmp1_#+"}%"; + , + tmp="\scalebox{\figsize}{\input{\parapath/";//17.12.07 + tmp=tmp+folder+"/"+tmp1_#+"}}%"; + ); // 17.08.30until + println(SCEOUTPUT,tmp); +// println(SCEOUTPUT,""); //17.06.25 + if(#<length(tmp1), + println(SCEOUTPUT,"\newframe%"); + ); + ); + println(SCEOUTPUT,"\end{animateinline}%"); + closefile(SCEOUTPUT); + println(fname+" has been generated"); +); + +Mkanimation():=( + regional(remflg,tmp,eqL,tmp1,tmp2); + if(!isexists(Dirwork,ParaPath), //17.10.14from + Parafolder(); + ); + Animatefile(); //17.10.14until + Mkanimation(Dirwork,ParaPath); +); +Mkanimation(folder):=Mkanimation(Dirwork,folder); +Mkanimation(path,folder):=( +//help:Mkanimation(); +//help:Mkanimation(path,folder); + regional(Fheadbkup,Pathpdfbkup,tex,article,parent, + eqL,mag,title,tmp,tmp1,tmp2,tmp3,flg); + tmp=Divoptions(ParaOpAnim); //17.11.25from + eqL=tmp_5; + mag="1600"; + title=folder; + forall(eqL, + tmp=Indexof(#,"="); + tmp1=Toupper(substring(#,0,1)); + tmp2=substring(#,tmp,length(#)); + if(tmp1=="M", + mag=tmp2; + ); + if(tmp1=="T", + title=tmp2; + ); + ); //17.11.25until + Fheadbkup=Fhead; + Fhead="animate"+folder; + Pathpdfbkup=Pathpdf; + Pathpdf=PathAd; + tmp1=replace(PathT,pathsep(),"/"); + tmp=indexall(tmp1,"/");//17.10.14from + if(length(tmp)>0, + tex=substring(tmp1,tmp_(length(tmp)),length(tmp1)); + , + tex=tmp1; + );//17.10.14until + if((tex=="platex")%(tex=="uplatex"), + if(tex=="platex",article="jarticle",article="ujarticle"); + , + article="article"; + ); + SCEOUTPUT=openfile(Fhead+".tex"); + println(SCEOUTPUT,"\documentclass[landscape]{"+article+"}"); + if((tex=="platex")%(tex=="uplatex")%(tex=="latex"), + tmp="\special{papersize=\the\paperwidth,\the\paperheight}"; + println(SCEOUTPUT,tmp); + println(SCEOUTPUT,"\mag="+mag);//17.11.25 + ); + if((tex=="pdflatex")%(tex=="lualatex")%(tex=="xelatex"), + if((tex=="pdflatex")%(tex=="xelatex"), + println(SCEOUTPUT,"\usepackage[pdftex]{pict2e}"); + , + println(SCEOUTPUT,"\usepackage{pict2e}"); + println(SCEOUTPUT,"\usepackage{luatexja}"); + ); + tmp=replace(Dirhead,"\","/"); //17.10.30from + tmp=replace(tmp,"scripts","tex/latex"); + if(isexists(tmp,""), + println(SCEOUTPUT,"\usepackage{ketpic2e,ketlayer2e}"); + , + tmp=replace(Dirhead+"/ketpicstyle","\","/"); + println(SCEOUTPUT,"\usepackage{"+tmp+"/ketpic2e}"); + println(SCEOUTPUT,"\usepackage{"+tmp+"/ketlayer2e}"); + ); + , + tmp=replace(Dirhead,"\","/"); //17.10.30from + tmp=replace(tmp,"scripts","tex/latex"); + if(isexists(tmp,""), + println(SCEOUTPUT,"\usepackage{ketpic,ketlayer}"); + , + tmp=replace(Dirhead+"/ketpicstyle","\","/"); + println(SCEOUTPUT,"\usepackage{"+tmp+"/ketpic}"); + println(SCEOUTPUT,"\usepackage{"+tmp+"/ketlayer}"); + ); + ); + println(SCEOUTPUT,"\usepackage{amsmath,amssymb}"); + println(SCEOUTPUT,"\usepackage{bm,enumerate}"); + if((tex=="platex")%(tex=="uplatex")%(tex=="latex"), + println(SCEOUTPUT,"\usepackage[dvipdfmx]{graphicx}"); + println(SCEOUTPUT,"\usepackage[dvipdfmx]{animate}"); + , + println(SCEOUTPUT,"\usepackage{graphicx}"); + println(SCEOUTPUT,"\usepackage{animate}"); + ); + println(SCEOUTPUT,"\usepackage{xcolor}"); + forall(ADDPACK, tmp1, + tmp=indexof(tmp1,"{animate}")+indexof(tmp1,"{hyperref}"); + if(tmp==0, + println(SCEOUTPUT,"\usepackage"+tmp1); + ); + ); + println(SCEOUTPUT,"\pagestyle{empty}"); + println(SCEOUTPUT,"\setmargin{0}{0}{0}{0}"); + println(SCEOUTPUT,""); + println(SCEOUTPUT,"\begin{document}"); + println(SCEOUTPUT,"\large"); + println(SCEOUTPUT,""); + println(SCEOUTPUT,"\vspace*{25mm}"); + println(SCEOUTPUT,""); + tmp=floor(parse("290*1000/"+mag)); + print(SCEOUTPUT,"\Ctab{"+text(tmp)+"mm}{"); + print(SCEOUTPUT,"\fbox{\Large\bf "+title+"}"); + println(SCEOUTPUT,"}"); + tmp=parse("6*1000/"+mag); + println(SCEOUTPUT,"\vspace{"+text(tmp)+"mm}"); + println(SCEOUTPUT,""); + tmp=indexof(ULEN,"cm"); + if(tmp>0, + tmp1=substring(ULEN,0,tmp-1); + tmp1=parse(replace(tmp1," ",""))*10; + ); + tmp=indexof(ULEN,"mm"); + if(tmp>0, + tmp1=substring(ULEN,0,tmp-1); + tmp1=parse(replace(tmp1," ","")); + ); + tmp=parse("300*1000/"+mag); + tmp1=(tmp-(XMAX-XMIN)*tmp1)/2; + tmp1=tmp1+parse("("+mag+"-1000)/100*1.3"); + print(SCEOUTPUT,"\hspace*{"+text(tmp1)+"mm}"); + tmp=replace(path,"\","/"); //17.12.09(2lines) + println(SCEOUTPUT,"\input{"+tmp+"/anim"+folder+".tex}"); + println(SCEOUTPUT,"\end{document}"); + closefile(SCEOUTPUT); + if(iswindows(), + parent=Dirwork+Batparent; + Makebat(Fhead,"ttv"); + kc():=( + println("kc : "+kc(parent,Dirlib,Fnametex)) + ); + kc(); + , + parent=Dirwork+Shellparent; + Makeshell(Fhead,"ttv"); + kc():=( + println("kc : "+kc(parent,Mackc+Dirlib,Fnametex)); + ); + kc(); + ); + Fhead=Fheadbkup; + Pathpdf= Pathpdfbkup; +); + +Mkflipanime():=( + regional(remflg,tmp,eqL,tmp1,tmp2); + if(!isexists(Dirwork,ParaPath), //17.10.14from + Parafolder(); + ); + Mkflipanime(Dirwork,ParaPath); +); +Mkflipanime(folder):=Mkflipanime(Dirwork,folder); +Mkflipanime(path,folder):=( +//help:Mkfilpanime(); +//help:Mkflipanime(path,folder); + regional(Fheadbkup,tex,article,parent,eqL,mag,title, + tmp,tmp1,tmp2,tmp3,texfiles,flg); + tmp=Divoptions(ParaOpAnim); //17.11.25from + eqL=tmp_5; + mag="1600"; + title=folder; + forall(eqL, + tmp=Indexof(#,"="); + tmp1=Toupper(substring(#,0,1)); + tmp2=substring(#,tmp,length(#)); + if(tmp1=="M", + mag=tmp2; + ); + if(tmp1=="T", + title=tmp2; + ); + ); //17.11.25until + Fheadbkup=Fhead; + Fhead="flipanime"+folder; + tmp1=replace(PathT,pathsep(),"/"); + tmp=indexall(tmp1,"/");//17.10.14from + if(length(tmp)>0, + tex=substring(tmp1,tmp_(length(tmp)),length(tmp1)); + , + tex=tmp1; + );//17.10.14until + if((tex=="platex")%(tex=="uplatex"), + if(tex=="platex",article="jarticle",article="ujarticle"); + , + article="article"; + ); + SCEOUTPUT=openfile(Fhead+".tex"); + println(SCEOUTPUT,"\documentclass[landscape]{"+article+"}"); + if((tex=="platex")%(tex=="uplatex")%(tex=="latex"), + tmp="\special{papersize=\the\paperwidth,\the\paperheight}"; + println(SCEOUTPUT,tmp); + println(SCEOUTPUT,"\mag="+mag);//17.11.25 + ); + if((tex=="pdflatex")%(tex=="lualatex")%(tex=="xelatex"), + if((tex=="pdflatex")%(tex=="xelatex"), + println(SCEOUTPUT,"\usepackage[pdftex]{pict2e}"); + , + println(SCEOUTPUT,"\usepackage{pict2e}"); + println(SCEOUTPUT,"\usepackage{luatexja}"); + ); + tmp=replace(Dirhead,"\","/"); //17.10.30from + tmp=replace(tmp,"scripts","tex/latex"); + if(isexists(tmp,""), + println(SCEOUTPUT,"\usepackage{ketpic2e,ketlayer2e}"); + , + tmp=replace(Dirhead+"/ketpicstyle","\","/"); + println(SCEOUTPUT,"\usepackage{"+tmp+"/ketpic2e}"); + println(SCEOUTPUT,"\usepackage{"+tmp+"/ketlayer2e}"); + ); + , + tmp=replace(Dirhead,"\","/"); //17.10.30from + tmp=replace(tmp,"scripts","tex/latex"); + if(isexists(tmp,""), + println(SCEOUTPUT,"\usepackage{ketpic,ketlayer}"); + , + tmp=replace(Dirhead+"/ketpicstyle","\","/"); + println(SCEOUTPUT,"\usepackage{"+tmp+"/ketpic}"); + println(SCEOUTPUT,"\usepackage{"+tmp+"/ketlayer}"); + ); + ); + println(SCEOUTPUT,"\usepackage{amsmath,amssymb}"); + println(SCEOUTPUT,"\usepackage{bm,enumerate}"); + if((tex=="platex")%(tex=="uplatex")%(tex=="latex"), + println(SCEOUTPUT,"\usepackage[dvipdfmx]{graphicx}"); + , + println(SCEOUTPUT,"\usepackage{graphicx}"); + ); + println(SCEOUTPUT,"\usepackage{xcolor}"); + forall(ADDPACK, tmp1, + if(tmp==0, + println(SCEOUTPUT,"\usepackage"+tmp1); + ); + ); + println(SCEOUTPUT,"\pagestyle{empty}"); + println(SCEOUTPUT,"\setmargin{0}{0}{0}{0}"); + println(SCEOUTPUT,""); + println(SCEOUTPUT,"\begin{document}"); + println(SCEOUTPUT,"\large"); + println(SCEOUTPUT,""); + tmp=fileslist(Dirwork+pathsep()+folder); + tmp=tokenize(tmp,","); + texfiles=select(tmp,indexof(#,".tex")>0); + forall(texfiles, + println(SCEOUTPUT,"\vspace*{25mm}"); + println(SCEOUTPUT,""); + tmp=floor(parse("290*1000/"+mag)); + print(SCEOUTPUT,"\Ctab{"+text(tmp)+"mm}{"); + print(SCEOUTPUT,"\fbox{\Large\bf "+title+"}"); + println(SCEOUTPUT,"}"); + tmp=parse("6*1000/"+mag); + println(SCEOUTPUT,"\vspace{"+text(tmp)+"mm}"); + println(SCEOUTPUT,""); + tmp=indexof(ULEN,"cm"); + if(tmp>0, + tmp1=substring(ULEN,0,tmp-1); + tmp1=parse(replace(tmp1," ",""))*10; + ); + tmp=indexof(ULEN,"mm"); + if(tmp>0, + tmp1=substring(ULEN,0,tmp-1); + tmp1=parse(replace(tmp1," ","")); + ); + tmp=parse("300*1000/"+mag); + tmp1=(tmp-(XMAX-XMIN)*tmp1)/2; + tmp1=tmp1+parse("("+mag+"-1000)/100*1.3"); + print(SCEOUTPUT,"\hspace*{"+text(tmp1)+"mm}"); + println(SCEOUTPUT,"\input{"+folder+"/"+#+"}"); + println(SCEOUTPUT,""); + println(SCEOUTPUT,"\newpage"); + ); + println(SCEOUTPUT,"\end{document}"); + closefile(SCEOUTPUT); + if(iswindows(), + parent=Dirwork+Batparent; + Makebat(Fhead,"tv"); + kc():=( + println("kc : "+kc(parent,Dirlib,Fnametex)) + ); + kc(); + , + parent=Dirwork+Shellparent; + Makeshell(Fhead,"tv"); + kc():=( + println("kc : "+kc(parent,Mackc+Dirlib,Fnametex)); + ); + kc(); + ); + Fhead=Fheadbkup; +); + +//help:end(); + diff --git a/Master/texmf-dist/scripts/ketcindy/ketlib/ketcindyliboutlogr.txt b/Master/texmf-dist/scripts/ketcindy/ketlib/ketcindyliboutlogr.txt new file mode 100644 index 00000000000..94752a33760 --- /dev/null +++ b/Master/texmf-dist/scripts/ketcindy/ketlib/ketcindyliboutlogr.txt @@ -0,0 +1,59 @@ +// 2018.03.27 +// functions of C changed +// CalcbyC added +// Sfbdparadata,Crvsfparadata added +// 2018.03.24 +// WriteCdata changed ( 99999 ) +// 2018.03.03 +// ConvertFdtoC changed ( varnames converted to u,v ) +// 2018.03.01 +// Cform,ConvertFdtoC added +// 2018.02.27 +// Rfun debugged +// 2018.02.22 +// CalcbyR changed (adding ".txt" to wfile) +// 2018.02.20 +// CalcbyR changed (Quick return of Erromessage) +// 2018.02.12 +// MkprecommandR changed ( for GLIST ) +// 2018.02.11 +// Mkprecommand debugged +// CalcbyR debugged ("ans" replaced to name ) +// 2018.02.01 +// CalcbyR changed (for matrix, wait=5 ) +// 2018.01.31 +// CalcbyR changed (for list of list ) +// 2018.01.29 +// CalcbyR debugged and changed (case of result is null ) +// 2018.01.27 +// CalcbyR changed ( output like Maxima(::),"Out") +// 2018.01.07 +// Hatchdata debugged (fun removed ) +// 2017.12.24 +// Mkobjpoly,Mkobjplate debugged +// Changeobjscalce changed for R +// 2017.12.23 +// Mkobjsymbcmd debugged +// Setoptions changed +// Mkobjthickcmd added +// 2017.12.22 +// Mkobjcrvcmd debugged +// 2017.10.24 +// Maxima2Cindydata added +// 2017.10.12 +// kcR debugged ( for Mac, => 2> ) +// 2017.10.07 +// CalcbyR debugged ( => WritetoRS ) +// ReadCdata changed ( execstr removed ) +// 2017.10.02 +// Imlicitplot changed (for R) +// 2017.09.29 +// WritetoS debugged (LibnameS) +// Dotfilldata changed +// 2017.09.24 +// Circledata, WritetoR, PrecommandR debugged +// 2017.09.23 +// Hatchdata debugged +// 2017.09.18 +// Hatchdata changed (for R) +// SCIWR,SCIRE removed diff --git a/Master/texmf-dist/scripts/ketcindy/ketlib/ketcindyliboutr.cs b/Master/texmf-dist/scripts/ketcindy/ketlib/ketcindyliboutr.cs new file mode 100644 index 00000000000..1bb3e3439c6 --- /dev/null +++ b/Master/texmf-dist/scripts/ketcindy/ketlib/ketcindyliboutr.cs @@ -0,0 +1,5935 @@ +// Copyright (C) 2014 Setsuo Takato, KETCindy Japan project team +// +//This program is free software: you can redistribute it and/or modify +// it under the terms of the GNU General Public License as published by +// the Free Software Foundation; either version 3 of the License, or +// (at your option) any later version. +// +// This program is distributed in the hope that it will be useful, +// but WITHOUT ANY WARRANTY; without even the implied warranty of +// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the +// GNU General Public License for more details. +// +// You should have received a copy of the GNU General Public License +// along with this program. If not, see <http://www.gnu.org/licenses/> +// + +println("ketcindyout(20180327) loaded"); + +//help:start(); + +WritetoS(fname,cmdL):=( +// help:WritetoS("outdata",cmdL); + regional(tmp,tmp1,tmp2,filename); + if(indexof(fname,".")==0, + filename=fname+".sce"; + , + filename=fname; + ); + SCEOUTPUT = openfile(filename); + tmp="cd('"+Dirwork+"');//"; + println(SCEOUTPUT,tmp); +// tmp1=replace(Dirlib,"\","/"); + tmp="Ketlib=lib("+Dq+LibnameS+Dq+");//"; //17.09.29 + println(SCEOUTPUT,tmp); + tmp="Ketinit();//"; + println(SCEOUTPUT,tmp); + tmp="Setwindow([XMIN,XMAX],[YMIN,YMAX]);"; // 16.06.26from + tmp=Assign(tmp,["XMIN",XMIN,"XMAX",XMAX,"YMIN",YMIN,"YMAX",YMAX]); + println(SCEOUTPUT,tmp); // 16.06.26until + if(iswindows(), // 17.01.11from + println(SCEOUTPUT,"setlanguage('en')"); + ); // 17.01.11until + tmp="pi=%pi;////"; + println(SCEOUTPUT,tmp); + forall(cmdL, + println(SCEOUTPUT,#+"//"); + ); + closefile(SCEOUTPUT); +); + +kcS(path,fname):=kcS(path,fname,[]); +kcS(path,fname,optionorg):=( +//help:kcS(PathS,"boxdata"); +//help:kcS(options=["r/m"]); + regional(options,tmp,tmp1,tmp2,eqL,strL,filename,flg); + if(indexof(fname,".")==0, + filename=fname+".sce"; + , + filename=fname; + ); + options=optionorg; + tmp=Divoptions(options); + eqL=tmp_5; + strL=tmp_7; + forall(eqL, + tmp=indexof(#,"="); + tmp1=substring(#,0,tmp-1); + tmp2=substring(#,tmp,length(#)); + ); + flg=0; + forall(strL, + if(Toupper(substring(#,0,1))=="R", + flg=0; + options=remove(options,[#]); + ); + if(Toupper(substring(#,0,1))=="M", + flg=1; + ); + ); + if(flg==0, + tmp2=replace(filename,".sce",".txt"); + tmp1=load(tmp2); + if(length(tmp1)==0, + flg=1; + ); + ); + if(flg==1, + tmp1=""; // 15.10.08 from + if(iswindows(), + tmp2=Batparent; + , + tmp2=Shellparent; + ); + flg=0; + forall(reverse(1..length(tmp2)), + if(flg==0, + tmp=substring(tmp2,#-1,#); + if(tmp=="/" % tmp=="\", // 14.01.15 + tmp1=substring(tmp2,0,#-1); + tmp2=substring(tmp2,#,length(tmp2)); + flg=1; + ); + ); + ); + if(length(tmp1)>0, + setdirectory(tmp1); + ); // 15.10.08 to + if(iswindows(), + SCEOUTPUT = openfile("kc.bat"); + println(SCEOUTPUT,"cd "+Dq+Dirwork+Dq); + tmp=Dq+path+Dq+" -nb -nwni -f "+filename; + println(SCEOUTPUT,tmp); + println(SCEOUTPUT,"exit"); + closefile(SCEOUTPUT); + println(kc(Dirwork+Batparent,Dirlib,Fnametex));// 16.05.29, 0605 + , + SCEOUTPUT = openfile("kc.sh"); + println(SCEOUTPUT,"#!/bin/sh"); + println(SCEOUTPUT,"cd "+Dq+Dirwork+Dq); + tmp=Dq+path+Dq+" -nwni -f "+filename; + println(SCEOUTPUT,tmp); + println(SCEOUTPUT,"exit 0"); + closefile(SCEOUTPUT); + println(kc(Dirwork+Shellparent,Mackc+Dirlib,Fnametex));// 16.05.29 + ); + wait(WaitUnit); + setdirectory(Dirwork); + ); +); + +SetpathS():=( + regional(tmp,tmp1); + if(!isstring(PathS), // 15.12.11 + Setdirectory(Dirbin); // 15.12.07 + tmp=load(Shellfile); + if(iswindows(), + tmp=tokenize(tmp," -nb"); + PathS=tmp_1; + , + tmp=tokenize(tmp," -nwni"); + tmp=tokenize(tmp_1,"/Applications/sci"); + PathS="/Applications/sci"+tmp_2; + ); + setdirectory(Dirwork); + ); + PathS; +); + +ErrhandleS(fname):=( // 2016.02.28 + regional(str); //17.04.14 + if(indexof(PathS,"-6.")==0, + str=["if iserror(-1) then"," error=lasterror()+'????';"]; + str=append(str," errclear(-1);"); // 16.03.14 + str=append(str," Fd=mopen("+Dq+wfile+Dq+",'wt');"); + str=append(str," mfprintf(Fd,'%s','Error: '+error);"); + str=append(str," mclose(Fd);"); + str=append(str," quit();"); + str=append(str,"end;"); + str; + , + str=[]; //17.04.14 + ); +); + +Testfunstr(funstr,varx,vary):=( + regional(var,val,fun,tmp,tmp1,tmp2); + fun=replace(funstr,".x","(1)"); // 16.05.19 + fun=replace(fun,".y","(2)"); // 16.05.19 + tmp=indexof(varx,"="); + var=substring(varx,0,tmp-1); + val=substring(varx,tmp+1,length(varx)); + tmp=indexof(val,","); + val=substring(val,0,tmp-1); + tmp1=replace(fun,var,"("+val+")"); + tmp=indexof(vary,"="); + var=substring(vary,0,tmp-1); + val=substring(vary,tmp+1,length(vary)); + tmp=indexof(val,","); + val=substring(val,0,tmp-1); + tmp1=replace(tmp1,var,"("+val+")"); + tmp1; +); + +CalcbyS(name,cmd):=CalcbyS(name,SetpathS(),cmd,[]); +CalcbyS(name,Arg1,Arg2):=( + if(isstring(Arg1), + CalcbyS(name,Arg1,Arg2,[]); + , + CalcbyS(name,SetpathS(),Arg1,Arg2); + ); +); +CalcbyS(name,path,cmd,optionorg):=( +//help:CalcbyS("a",cmd); +//help:CalcbyS(options= ["m/r","Wait=10","Cat=middle"]]); +//help:CalcbyS(options1= ["Ncol=2","File=result","Dig=5"]]); + regional(options,tmp,tmp1,tmp2,tmp3,tmp4,realL,strL,eqL, + ncoL,cat,dig,flg,wflg,file,nc,arg,cmdS,cmdlist,wfile,ext, + waiting, errcheck); + options=optionorg; + tmp=divoptions(options); + eqL=tmp_5; + realL=tmp_6; + strL=tmp_7; + cat="M";//16.11.24 + ncoL=2; + ext=".txt"; + waiting=10; + dig=5; + wfile=""; + forall(eqL, + tmp=indexof(#,"="); + tmp1=Toupper(substring(#,0,2)); + tmp2=substring(#,tmp,length(#)); + if(tmp1=="CA", + cat=Toupper(substring(tmp2,0,1));// 16.11.24 + options=remove(options,[#]); + ); + if(tmp1=="NC", + ncoL=parse(tmp2); + options=remove(options,[#]); + ); + if(tmp1=="EX", + if(indexof(tmp2,".")==0,ext="."+tmp2,ext=tmp2); + options=remove(options,[#]); + ); + if(tmp1=="WA", + waiting=parse(tmp2); + options=remove(options,[#]); + ); + if(tmp1=="DI", + dig=parse(tmp2); + options=remove(options,[#]); + ); + if(tmp1=="FI", // 16.06.26from + wfile=tmp2; + options=remove(options,[#]); + ); // 16.06.26until + ); + if(wfile=="", + if(cat=="Y", + wfile=Fhead+name; + , + wfile="resultS"; + ); + ); + if(indexof(wfile,".")==0,// 16.06.26from + wfile=wfile+ext; + ); // 16.06.26until + wflg=0; + forall(strL, + tmp=Toupper(substring(#,0,1)); + if(tmp=="M", + wflg=1; + options=remove(options,[#]); + ); + if(tmp=="R", + wflg=-1; + options=remove(options,[#]); + ); + ); + if(CONTINUED==0, + if((wflg==0) & (cat=="Y"), // 16.11.24 + tmp=load(wfile); + if(length(tmp)==0,wflg=1); + ); + ); + file=Fhead+name; + cmdS=cmd; + cmdlist=[]; + forall(1..floor(length(cmdS)/2),nc, //17.05.18 + tmp1=cmdS_(2*nc-1); + tmp1=replace(tmp1,LFmark,""); // 16.06.12 + tmp1=replace(tmp1,CRmark,""); // 16.12.13 + if(nc==length(cmdR)/2, //16.10.23from + if(indexof(tmp1,"=")==0,tmp1="="+tmp1); + ); //16.10.23from + if(substring(tmp1,0,1)=="=", +// tmp1=name+tmp1; // 16.12.20 + ); + tmp2=cmdS_(2*nc); // list of argments + tmp3=""; + tmp4=""; + errcheck=0; + forall(tmp2,arg, + if(isstring(arg), + if(Toupper(arg)=="ERROR", + errcheck=1; + , + tmp3=tmp3+replace(arg,"'",Dq)+","; + ); + , + if(!islist(arg), + tmp3=tmp3+textformat(arg,dig)+","; + , + tmp=select(arg,isstring(#) % islist(#)); + if(length(tmp)>0, + tmp3=tmp3+"list("; + tmp4=")"; + , + tmp3=tmp3+"["; + tmp4="]"; + ); + forall(arg, + if(isstring(#), + tmp3=tmp3+replace(#,"'",Dq)+","; + , + if(!islist(#), // 15.11.01 from + tmp3=tmp3+textformat(#,dig)+","; + , + tmp=textformat(#,dig); + tmp=replace(tmp,"],[","];["); + tmp3=tmp3+tmp+","; + ); // 15.11.01 until + ); + ); + tmp3=substring(tmp3,0,length(tmp3)-1)+tmp4+","; + ); + ); + ); + if(length(tmp3)>0, + tmp3=substring(tmp3,0,length(tmp3)-1); + tmp1=tmp1+"("+tmp3+");"; + ); + if(errcheck==1, + if(indexof(Dirlib,"sciL5")>0, // 17.03.20 + cmdlist=append(cmdlist,"errcatch(-1,'continue','nomessage');"); + ); // 17.03.20 + ); + cmdlist=append(cmdlist,tmp1); + if(errcheck==1, + tmp=ErrhandleS(wfile); + cmdlist=concat(cmdlist,tmp); + ); + ); + if(CONTINUED==1, + ComOutList=concat(ComOutList,cmdlist); + , + if(cat=="Y", + tmp=[]; + tmp=append(tmp,"Fd=mopen("+Dq+file+".txt"+Dq+",'wt');"); + // 16.03.11 from + tmp=append(tmp,"mfprintf(Fd,'%s',"+name+");"); + tmp=append(tmp,"mclose(Fd);"); + cmdlist=concat(cmdlist,tmp); +// tmp="fprintfMat("+Dq+file+".txt"+Dq+","+name+")"; +// cmdlist=append(cmdlist,tmp); // 16.03.11 until + , +// tmp="mputl(['????'],"+Dq+file+".txt"+Dq+");"; // 16.06.2 from +// cmdlist=concat(cmdlist,[tmp]); // 16.06.2 until + ); + if(cat!="Y", // 16.12.18 + cmdlist=append(cmdlist,"mputl('||||','"+wfile+"')"); + ); + cmdlist=append(cmdlist,"quit()"); + if(wflg==0, + tmp1=load(file+".sce"); + if(length(tmp1)==0, + wflg=1; + , + tmp1=tokenize(tmp1,"////"); + tmp1=tokenize(tmp1_2,"//"); + tmp1=tmp1_(1..(length(tmp1)-1)); + if(length(tmp1)!=length(cmdlist), + wflg=1; + , + tmp=select(1..length(tmp1),tmp1_#!=cmdlist_#); + if(length(tmp)>0, wflg=1); + ); + ); + ); + if(wflg==0,wflg=-1); // 15.10.16 + if(wflg==1, + if(length(wfile)>0, // 15.10.05 + SCEOUTPUT=openfile(wfile); + println(SCEOUTPUT,""); + closefile(SCEOUTPUT); + ); + WritetoS(file+".sce",cmdlist); + kcS(path,file,concat(options,["m"])); // 15.09.25 + ); + flg=0; + tmp1=floor(waiting*1000/WaitUnit); + repeat(tmp1, + if(flg==0, + tmp=load(wfile); + if(length(tmp)>=4, + tmp2=substring(tmp,length(tmp)-4,length(tmp)); + if(tmp2=="////" % tmp2=="||||" % tmp2=="????", // 16.08.09 + if(indexof(Toupper(tmp),"ERROR")>0, + println(tmp); + flg=2; + , + flg=1; + ); + ); + tmp2=#*WaitUnit/1000; + , + if(wflg==-1, + flg=-1; + , + wait(WaitUnit); + ); + ); + ); + ); + if(flg<=0, + ErrFlag=1; + if(flg==-1, + println(wfile+" does not exist"); + , + tmp="("+text(waiting)+" s )"; + println(wfile+" not generated "+tmp); + ); + , + if(flg==1, + println(" CalcbyS succeeded "+name+"("+text(tmp2)+" sec)"); //16.06.03 + , + ErrFlag=1; + ); + ); + ); + if(wflg>-1, +// wait(WaitUnit); + ); +); + +Scifun(name,fun,argL):=Scifun(name,fun,argL,[]);//16.10.22 +Scifun(name,fun,argL,optionorg):=( +//help:Scifun("1","date()",[]); +//help:Scifun(options=["Disp=y"]); + regional(nm,options,eqL,disp,cmdL,fname, + tmp,tmp1,tmp2); + nm="sc"+name; + fname=Fhead+nm+".txt"; + options=optionorg; + tmp=divoptions(options); + precise=6; + disp=1; + pack=[]; + set=[]; + add=""; + eqL=tmp_5; + forall(eqL, + tmp=indexof(#,"="); + tmp1=Toupper(substring(#,0,3)); + tmp2=substring(#,tmp,length(#)); + if((tmp1=="DIS") % (tmp1=="DSP") , + tmp=Toupper(substring(tmp2,0,1)); + if((tmp=="F") % (tmp=="N"), + disp=0; + ); + options=remove(options,[#]); + ); + ); + cmdL=[]; + cmdL=concat(cmdL,[ + nm+"="+fun,argL, + "Fd=mopen",[Dq+fname+Dq,Dq+"wt"+Dq], + "Sla=char(47)+char(47);",[], + "mputl",["string("+nm+")+Sla","Fd"], + "mputl",["Sla","Fd"], + "mclose",["Fd"] + ]); + options=append(options,"Wait=2"); + CalcbyS(nm,cmdL,options); + if(ErrFlag==0, + tmp=load(fname); + tmp=replace(tmp,"////",""); + tmp=tokenize(tmp,"//"); + tmp=apply(tmp,if(!isstring(#),textformat(#,6),Dq+#+Dq)); + if(length(tmp)==1, + tmp=tmp_1; + ); + tmp=nm+"="+text(tmp); + parse(tmp); + if(disp==1, // 15.11.24 + println(nm+" is : "); + println(parse(nm)); + ); + ); + parse(nm); +); + +WritetoR(fname,cmdL):=WritetoR(fname,cmdL,[]); +WritetoR(fname,cmdL,options):=( +// help:WritetoR("outdata",cmdL); + regional(eqL,tmp,tmp1,tmp2,filename,waiting); + if(indexof(fname,".")==0, + filename=fname+".r"; + , + filename=fname; + ); + tmp=divoptions(options); + eqL=tmp_5; + waiting=5; + forall(eqL, + tmp=indexof(#,"="); + tmp1=substring(#,0,tmp-1); + tmp2=substring(#,tmp,length(#)); + if(Toupper(substring(tmp1,0,1))=="W", + waiting=parse(tmp2); + ); + ); + SCEOUTPUT = openfile(filename); + tmp1=replace(Dirwork,"\","/"); + tmp="setwd("+Dq+tmp1+Dq+")##"; + println(SCEOUTPUT,tmp); + tmp1=replace(Libname,"\","/"); // 17.09.24from +// tmp="load('"+tmp1+".Rdata')"; # 17.10.12 + tmp="source('"+tmp1+".r')##"; // 17.09.24temporarily + println(SCEOUTPUT,tmp); + println(SCEOUTPUT,"Ketinit()##"); // 16.07.07 + tmp="Setwindow(c(XMIN,XMAX),c(YMIN,YMAX))####"; // 16.06.26from + tmp=Assign(tmp,["XMIN",XMIN,"XMAX",XMAX,"YMIN",YMIN,"YMAX",YMAX]); + println(SCEOUTPUT,tmp); + forall(cmdL, + println(SCEOUTPUT,#+"##"); + ); + closefile(SCEOUTPUT); +// flg=0; +// tmp1=floor(waiting*1000/WaitUnit); +// repeat(tmp1, +// if(flg==0, +// tmp=load(filename); +// if(length(tmp)>0, +// flg=1; +// , +// wait(WaitUnit); +// ); +// ); +// ); +); + +kcR(path,fname):=kcR(path,fname,[]); +kcR(path,fname,optionorg):=( +//help:kcR(PathR,"boxdata"); +//help:kcR(options=["m/r","Wait=10"]); + regional(options,tmp,tmp1,tmp2,eqL,strL,filename,ferr,flg); + if(indexof(fname,".")==0, + filename=fname+".r"; + , + filename=fname; + ); + options=optionorg; + tmp=Divoptions(options); + eqL=tmp_5; + strL=tmp_7; + forall(eqL, + tmp=indexof(#,"="); + tmp1=substring(#,0,tmp-1); + tmp2=substring(#,tmp,length(#)); + ); + flg=0; + forall(strL, + if(Toupper(substring(#,0,1))=="R", + flg=0; + options=remove(options,[#]); + ); + if(Toupper(substring(#,0,1))=="M", + flg=1; + options=remove(options,[#]); + ); + ); + if(flg==0, + tmp2=replace(filename,".r",".txt"); + tmp1=load(tmp2); + if(length(tmp1)==0, + flg=1; + ); + ); + if(flg==1, + tmp1=""; // 15.10.08 from + if(iswindows(), + tmp2=Batparent; + , + tmp2=Shellparent; + ); + flg=0; + forall(reverse(1..length(tmp2)), + if(flg==0, + tmp=substring(tmp2,#-1,#); + if(tmp=="/" % tmp=="\", // 14.01.15 + tmp1=substring(tmp2,0,#-1); + tmp2=substring(tmp2,#,length(tmp2)); + flg=1; + ); + ); + ); + if(length(tmp1)>0, + setdirectory(tmp1); + ); // 15.10.08 to + ferr="errormessageR.txt";//16.10.22from + SCEOUTPUT=openfile(ferr); + closefile(SCEOUTPUT);//16.10.22uptp + if(iswindows(), + SCEOUTPUT = openfile("kc.bat"); + println(SCEOUTPUT,"cd "+Dq+Dirwork+Dq); + tmp=Dq+path+"\R"+Dq+" --vanilla --slave < "+filename+" 2> "+ferr; + //16.10.22 + println(SCEOUTPUT,tmp); + println(SCEOUTPUT,"exit"); + closefile(SCEOUTPUT); + println(kc(Dirwork+Batparent,Dirlib,Fnametex));// 16.05.29,06.05 + , + SCEOUTPUT = openfile("kc.sh"); + println(SCEOUTPUT,"#!/bin/sh"); + println(SCEOUTPUT,"cd "+Dq+Dirwork+Dq); + if(PathR=="",tmp="R",tmp=PathR);//16.10.20 + tmp=tmp+" --vanilla --slave < "+filename+" 2> "+ferr;//17.10.12 + println(SCEOUTPUT,tmp); + println(SCEOUTPUT,"exit 0"); + closefile(SCEOUTPUT); + println(kc(Dirwork+Shellparent,Mackc+Dirlib,Fnametex));// 16.05.29,06.05 + ); + wait(WaitUnit); + setdirectory(Dirwork); + ); +); + +Dataframe(nmL,dL):=Dataframe(nmL,dL,[]); +Dataframe(nmL,dL,options):=( +//help:Dataframe(["name","no1","no2"],dtL); +//help:Dataframe(options=["Dig=5"]); + regional(dig,tmp,tmp1,tmp2,out); + dig=5; + tmp=Divoptions(options); + tmp=tmp_5; + forall(tmp, + tmp1=Toupper(substring(#,0,1)); + tmp2=indexof(#,"="); + tmp2=substring(#,tmp2,length(#)); + if(tmp1=="D", + dig=parse(tmp2); + ); + ); + out="data.frame("; + forall(1..(length(nmL)), + tmp1=nmL_#; + tmp2=column(dL,#); + tmp2=apply(tmp2,if(isstring(#),Dq+#+Dq,format(#,dig))); + tmp=tmp1+"="+tmp2+","; + out=out+tmp; + ); + out=substring(out,0,length(out)-1)+")"; + out=replace(out,"[","c("); + out=replace(out,"]",")"); +); + +CalcbyR(name,cmd):=CalcbyR(name,PathR,cmd,[]); +CalcbyR(name,Arg1,Arg2):=( + if(isstring(Arg1), + CalcbyR(name,Arg1,Arg2,[]); + , + CalcbyR(name,PathR,Arg1,Arg2); + ); +); +CalcbyR(name,path,cmd,optionorg):=( +//help:CalcbyR(name,cmd); +//help:CalcbyR(options=["m/r","Wait=2","Out=yes","Pre=yes","Res=" ]); + regional(options,tmp,tmp1,tmp2,tmp3,realL,strL,eqL, + cat,dig,preflg,flg,wflg,file,nc,arg,cmdR,cmdlist,wfile,waiting); + options=optionorg; + tmp=divoptions(options); + eqL=tmp_5; + realL=tmp_6; + strL=tmp_7; + dig=5; + cat="Y"; + wfile=""; + preflg=1; + waiting=5; + forall(eqL, + tmp=indexof(#,"="); + tmp1=Toupper(substring(#,0,1)); + tmp2=substring(#,tmp,length(#)); + if((tmp1=="C")%(tmp1=="O"), + cat=Toupper(substring(tmp2,0,1)); + options=remove(options,[#]); + ); + if(tmp1=="W", + waiting=parse(tmp2); + options=remove(options,[#]); + ); + if(tmp1=="P", //18.01.27 + tmp2=substring(Toupper(tmp2),0,1); + if(tmp2=="Y",preflg=1); + if(tmp2=="N",preflg=0); + options=remove(options,[#]); + ); + if(tmp1=="D", + dig=parse(tmp2); + options=remove(options,[#]); + ); + if(tmp1=="F", + wfile=tmp2; //18.02.27 + options=remove(options,[#]); + ); + if(tmp1=="R", + wfile=tmp2; //180227 + options=remove(options,[#]); + ); + ); + if(wfile=="", + if(cat=="Y", + wfile=Fhead+name+".txt"; + , + wfile="result.txt"; + ); + ); + wflg=0; + forall(strL, + tmp=Toupper(substring(#,0,1)); + if(tmp=="M", + wflg=1; + options=remove(options,[#]); + ); + if(tmp=="R", + wflg=-1; + options=remove(options,[#]); + ); + ); + if(CONTINUED==0, + if((wflg==0) & (cat!="N"), // 16.11.13 + tmp=load(wfile); + if(length(tmp)==0,wflg=1); + ); + ); + file=Fhead+name; + cmdR=[]; + if(preflg==1, //18.01.27from + cmdR=MkprecommandR(); + ); + cmdR=concat(cmdR,cmd); //18.01.27until + cmdlist=[]; + if(dig>5, //16.10.28from + cmdlist=append(cmdlist,"options(digits="+text(dig+2)+");"); + ); //16.10.28until + forall(1..floor(length(cmdR)/2),nc, //17.05.18 + tmp1=cmdR_(2*nc-1); + tmp1=replace(tmp1,LFmark,""); // 16.06.12 + if(nc==length(cmdR)/2, //16.10.23from +// if(indexof(tmp1,"=")==0,tmp1="="+tmp1);//16.12.20 + ); //16.10.23uptp + if(substring(tmp1,0,1)=="=", + tmp1=name+tmp1; + ); + tmp2=cmdR_(2*nc); // list of argments + tmp3=""; + forall(tmp2,arg, + if(isstring(arg), + tmp3=tmp3+replace(arg,"'",Dq)+","; + , + if(length(arg)==1, + tmp3=tmp3+textformat(arg,dig)+","; + , + tmp3=tmp3+"c("; + forall(arg, + tmp3=tmp3+textformat(#,dig)+","; + ); + tmp3=substring(tmp3,0,length(tmp3)-1)+")"+","; + ); + ); + ); + if(length(tmp3)>0, + tmp3=substring(tmp3,0,length(tmp3)-1); + tmp1=tmp1+"("+tmp3+")"; + ); + cmdlist=append(cmdlist,tmp1); + ); + tmp1=cmdlist_(length(cmdlist)); + if(indexof(tmp1,"=")==0, + tmp1=tokenize(tmp1,"::"); + if(length(tmp1)==1, + tmp2=name+"="+tmp1_1; + , + tmp2=name+"=list("; + forall(tmp1, + tmp2=tmp2+#+","; + ); + tmp2=substring(tmp2,0,length(tmp2)-1)+")"; + ); + cmdlist_(length(cmdlist))=tmp2; + ); + if(CONTINUED==1, + ComOutList=concat(ComOutList,cmdlist); + , + if(cat=="Y", //16.10.23from + tmp="sharp=rawToChar(as.raw(35))"; + cmdlist=append(cmdlist,tmp); + tmp="sharps=paste(sharp,sharp,'\n',sep='')"; + cmdlist=append(cmdlist,tmp); + tmp="if(Length("+name+")==0){"+name+"='nodata'}"; //18.01.29 + cmdlist=append(cmdlist,tmp); + cmdlist=append(cmdlist,"if(is.matrix("+name+")){"); + cmdlist=append(cmdlist," tmp=list()");//18.02.01from + cmdlist=append(cmdlist," for(ii in 1:Length("+name+")){"); + cmdlist=append(cmdlist," tmp=c(tmp,list(Op(ii,"+name+")))"); + cmdlist=append(cmdlist," }"); + cmdlist=append(cmdlist," "+name+"=tmp"); + cmdlist=append(cmdlist,"}");//18.02.01until + cmdlist=append(cmdlist,"if(is.list("+name+")){"); +// tmp=" cat(names("+name+"),file='"+wfile+"',sep=',')"; //18.01.27deleted +// cmdlist=append(cmdlist,tmp); +// tmp=" cat(sharps,file='"+wfile+"',append=TRUE)"; +// cmdlist=append(cmdlist,tmp); + cmdlist=append(cmdlist," for(ii in Looprange(1,length("+name+"))){"); + cmdlist=append(cmdlist," if(is.list("+name+"[[ii]])){"); + tmp=" cat('[',file='"+wfile+"',sep='',append=TRUE)"; + cmdlist=append(cmdlist,tmp); + tmp=" cat(sharps,file='"+wfile+"',sep='',append=TRUE)"; + cmdlist=append(cmdlist,tmp); + tmp=" for(jj in Looprange(1,length("+name+"[[ii]]))){"; + cmdlist=append(cmdlist,tmp); + tmp=" cat("+name+"[[ii]][[jj]],file='"+wfile+"',sep=',',append=TRUE)"; + cmdlist=append(cmdlist,tmp); + tmp=" cat(sharps,file='"+wfile+"',append=TRUE)"; + cmdlist=append(cmdlist,tmp); + cmdlsit=append(cmdlist," }"); + cmdlist=append(cmdlist," }"); + tmp=" cat(']',file='"+wfile+"',sep=',',append=TRUE)"; + cmdlist=append(cmdlist,tmp); + tmp=" cat(sharps,file='"+wfile+"',append=TRUE)"; + cmdlist=append(cmdlist,tmp); + cmdlist=append(cmdlist," }else{"); + tmp=" cat("+name+"[[ii]],file='"+wfile+"',"; + tmp=tmp+"sep=',',append=TRUE)"; + cmdlist=append(cmdlist,tmp); + tmp=" cat(sharps,file='"+wfile+"',append=TRUE)"; + cmdlist=append(cmdlist,tmp); + cmdlist=append(cmdlist," }"); + cmdlist=append(cmdlist," }"); + cmdlist=append(cmdlist,"}else{"); + tmp=" cat("+name+",file='"+wfile+"',sep=',')"; + cmdlist=append(cmdlist,tmp); + tmp=" cat(sharps,file='"+wfile+"',append=TRUE)"; + cmdlist=append(cmdlist,tmp); + cmdlist=append(cmdlist,"}"); + tmp="cat('////',file='"+wfile+"',sep=',',append=TRUE)"; + cmdlist=append(cmdlist,tmp); + ); //16.10.23until + if(cat!="Y", // 16.12.18 + cmdlist=append(cmdlist,"cat('////',file='"+wfile+"',sep='')"); + ); + cmdlist=append(cmdlist,"quit()"); + if(wflg==0, + tmp1=load(file+".r"); + if(length(tmp1)==0, + wflg=1; + , + tmp1=tokenize(tmp1,"####"); // 15.09.25 from + tmp1=tokenize(tmp1_2,"##"); + tmp1=tmp1_(1..(length(tmp1)-1)); + if(length(tmp1)!=length(cmdlist), + wflg=1; + , + tmp=select(1..length(tmp1),tmp1_#!=cmdlist_#); + if(length(tmp)>0, wflg=1); + ); + ); // 15.09.25 to + ); + if(wflg==0,wflg=-1); // 15.10.16 + if(wflg==1, + if(length(wfile)>0, // 15.10.05 + SCEOUTPUT=openfile(wfile); + println(SCEOUTPUT,""); + closefile(SCEOUTPUT); + ); + WritetoR(file+".r",cmdlist); //17.10.08 + SCEOUTPUT=openfile("errormessageR.txt");//18.02.20from + println(SCEOUTPUT,""); + closefile(SCEOUTPUT);//18.02.20until + kcR(PathR,file,concat(options,["m"])); // 15.09.25 + ); + flg=0; + tmp1=floor(waiting*1000/WaitUnit); + repeat(tmp1, + if(flg==0, + tmp=load(wfile); + if(length(tmp)>=4, + tmp2=substring(tmp,length(tmp)-4,length(tmp)); + if(tmp2=="////", + tmp=substring(tmp,0,length(tmp)-4); + flg=1; + tmp2=#*WaitUnit/1000; + ); + , + if(wflg==-1, + flg=-1; + , + wait(WaitUnit); + tmp=load("errormessageR.txt");//18.02.20 + if(length(tmp)>1, + println(tmp); + flg=-2; + );//18.02.20 + ); + ); + ); + ); + if(flg<=0, + ErrFlag=1; + if(flg==-1, + println(wfile+" does not exist"); + , + if(flg==0, + tmp="("+text(waiting)+" s )"; + println(wfile+" not generated "+tmp); + ); + ); + , + println(" CalcbyR succeeded "+name+" ("+text(tmp2)+" sec)"); + if(cat=="Y", // 16.10.29,11.25 + tmp1=tokenize(tmp,"##"); //16.10.23from + tmp1=tmp1_(1..(length(tmp1)-1)); + tmp2=[]; + forall(tmp1,tmp3, + if(!isstring(tmp3), + tmp=format(tmp3,dig); + , + if(indexof(tmp3,",")==0, + tmp=Dqq(tmp3); //180227 + , + tmp=tmp3; + if(substring(tmp3,0,2)=="c(", + tmp=substring(tmp3,2,length(tmp3)-1); + ); + tmp=tokenize(tmp,","); + tmp=textformat(tmp,dig); + ); + ); + tmp2=append(tmp2,tmp); + ); + if(length(tmp2)==1, + tmp2=tmp2_1; + if(length(tmp2)==1,tmp2=tmp2_1); + if(isstring(tmp2), + if(indexof(tmp2,"nodata")>0,tmp2="[]"); //180227from + tmp2=parse(tmp2); + ); + tmp3=textformat(tmp2,dig);//180227until + , + tmp3=""; + forall(tmp2, + if(length(#)==0, + tmp3=tmp3+"[],"; + , + tmp3=tmp3+#+","; + ); + ); + tmp3="["+substring(tmp3,0,length(tmp3)-1)+"]"; + tmp3=replace(tmp3,"[,","["); + tmp3=replace(tmp3,",]","]"); + ); + tmp=name+"="+tmp3;//180227 + parse(tmp); + ); + ); + ); +); + +Rfun(name,fun,argL):=Rfun(name,fun,argL,[]);//16.10.22 +Rfun(name,fun,argL,optionorg):=( +//help:Rfun("1","rnorm",[10]); +//help:Rfun(options=["Disp=y"]); + regional(nm,options,eqL,disp,cmdL, + tmp,tmp1,tmp2); + nm="R"+name; + options=optionorg; + tmp=divoptions(options); + precise=6; + disp=1; + pack=[]; + set=[]; + add=""; + eqL=tmp_5; + forall(eqL, + tmp=indexof(#,"="); + tmp1=Toupper(substring(#,0,3)); + tmp2=substring(#,tmp,length(#)); + if((tmp1=="DIS") % (tmp1=="DSP") , + tmp=Toupper(substring(tmp2,0,1)); + if((tmp=="F") % (tmp=="N"), + disp=0; + ); + options=remove(options,[#]); + ); + ); + cmdL=[]; + cmdL=concat(cmdL,[ + nm+"="+fun,argL, + ]); + options=concat(options,["Wait=2"]); + CalcbyR(nm,cmdL,options); + if(ErrFlag==0, + if(disp==1, // 15.11.24 + println(nm+" is : "); + println(parse(nm)); + ); + ); + parse(nm); +); + +Readcsv(file):=Readcsv(Dirwork,file,[]); +Readcsv(Arg1,Arg2):=( + if(isstring(Arg2), + Readcsv(Arg1,Arg2,[]); + , + Readcsv(Dirwork,Arg1,Arg2); + ); +); +Readcsv(pathorg,file,optionorg):=( +//help:Readcsv("ex.csv"); +//help:Readcsv(directory,"ex.csv"); +//help:Readcsv(options=["Head=yes","Sep=-999","Flat=no","Use=R"]); + regional(path,fname,fout,options,eqL,header,cmdL,sep, + dt,nrow,tmp,tmp1,tmp2,csv,use,flat); + options=optionorg; + tmp=divoptions(options); + eqL=tmp_5; + header=1; + sep="-999"; + csv="Y"; // 16.12.12 + use="R"; + flat="N"; + forall(eqL, + tmp=indexof(#,"="); + tmp1=substring(#,0,tmp-1); + tmp2=substring(#,tmp,length(#)); + tmp=Toupper(substring(tmp1,0,2)); + if(tmp=="HE", + tmp=Toupper(substring(tmp2,0,1)); + if(tmp=="F" % tmp=="N", + header=0; + options=remove(options,[#]); + ); + ); +// if(tmp=="WA", // removed:17.02.19 +// waiting=parse(tmp2); +// options=remove(options,[#]); +// ); + if(tmp=="SE", + sep=tmp2; + options=remove(options,[#]); + ); + if(tmp=="CS", + csv=Toupper(substring(tmp2,0,1)); + options=remove(options,[#]); + ); + if(tmp=="US", + use=Toupper(substring(tmp2,0,1)); + options=remove(options,[#]); + ); + if(tmp=="FL", + flat=Toupper(substring(tmp2,0,1)); + options=remove(options,[#]); + ); + ); + if(flat=="Y",csv="N"); + sep=","+sep; + tmp=indexof(file,"."); + if(tmp==0, + fname=file+".csv"; + fout=file+"sep.csv"; + , + fname=file; + tmp1=substring(file,0,tmp-1); + tmp2=substring(file,tmp-1,length(file)); + fout=tmp1+"sep"+tmp2; + ); + path=pathorg; + if(!isexists(path,fname), + println(path+" "+fname+" not found"); + , + path=replace(path,"\","/"); + if(use=="S", + cmdL=[ // 16.12.20from + "cd('"+path+"')",[], + "Dt=mgetl('"+fname+"');",[], + "cd('"+Dirwork+"')",[], + "Dt2=[]",[], + "for I=1:size(Dt,1), + Tmp=Dt(I,:)+'"+sep+"'; + Dt2=[Dt2;Tmp]; + end",[], + "mputl(Dt2,'"+fout+"')",[] + ]; + CalcbyS("sep",cmdL,options); + , + cmdL=[ + "setwd",[Dq+path+Dq], + "tmp1=readLines",[Dq+fname+Dq,"warn=FALSE"], + "fun=function(s) paste(s,"+Dq+sep+Dq+",sep="+Dq+Dq+")",[], + "tmp2=sapply(tmp1,fun)",[], + "writeLines",["tmp2",Dq+fout+Dq] + ]; + CalcbyR("sep",cmdL,concat(options,["Cat=n"])); + ); // 16.12.20until + if(ErrFlag==1, + println("Readcsv not completed"); + , + dt=load(fout); + dt=tokenize(dt,sep); + dt=dt_(1..(length(dt)-1));//16.12.20 + if(isstring(dt_1),// 17.02.10from + if(indexof(dt_1,",")==0,csv="N"); + , + csv="N"; + );// 17.02.10until + if(csv=="Y", + dt=apply(dt,tokenize(#,",")); + , + dt=apply(dt,[#]); + ); + forall(1..(length(dt)),nrow, + tmp1=dt_nrow; + tmp2=[]; + forall(tmp1, + if(!isstring(#), + tmp=#; + , + if(substring(#,0,1)==Dq, + tmp=parse(#); + , + tmp=#; + ); + ); + tmp2=append(tmp2,tmp); + ); + dt_nrow=tmp2; + ); + if(header==0,dt=dt_(2..(length(dt)))); + if(length(dt)==1, + dt=dt_1 + , + if(length(dt_1)==1, + dt=apply(dt,#_1); + ); + ); + dt; + ); + ); +); + +Writecsv(nmL,data,file):=Writecsv(nmL,data,file,[]); +Writecsv(nmL,dataorg,file,optionorg):=( +//help:Writecsv([],data,"ex.csv"); +//help:Writecsv(["a","b"],data,"ex.csv"); +//help:Writecsv(optins=["Col=1"]); + regional(nameL,data,eqL,strL,ncol,nrow,fname,dig,tmp,tmp1,tmp2); + ncol=0; // 17.02.09from + dig=5; + if(isstring(dataorg),data=parse(dataorg),data=dataorg); + if(islist(data_1), + ncol=length(data_1); + data=flatten(data); + ); // 17.02.09until + options=optionorg; + tmp=divoptions(options); + eqL=tmp_5; + forall(eqL, + tmp=indexof(#,"="); + tmp1=substring(#,0,tmp-1); + tmp2=substring(#,tmp,length(#)); + if(Toupper(substring(tmp1,0,1))=="C", + ncol=parse(tmp2); + options=remove(options,[#]); + ); + ); + if(indexof(file,".")==0,fname=file+".csv",fname=file); + if(ncol==0,ncol=max(1,length(nmL))); + tmp1=mod(length(data),ncol); + if(tmp1>0, + tmp=apply(1..(ncol-tmp1),-1); + data=concat(data,tmp); + ); + nrow=length(data)/ncol; + if(length(nmL)<ncol, + nameL=apply(1..ncol,"c"+text(#)); +// tmp=nameL_length(nameL)+"##";//17.02.09 + tmp=nameL_(length(nameL));//17.02.09 + nameL_(length(nameL))=tmp; + , + nameL=nmL; + ); + SCEOUTPUT=openfile(fname); + tmp=text(nameL); + println(SCEOUTPUT,substring(tmp,1,length(tmp)-1)); + forall(1..nrow, + tmp1=data_(((#-1)*ncol+1)..(#*ncol)); + tmp2=""; + forall(tmp1, + tmp2=tmp2+textformat(#,5)+","; + ); + tmp2=substring(tmp2,0,length(tmp2)-1); + println(SCEOUTPUT,tmp2); + ); + closefile(SCEOUTPUT); +); + +Hatchdata(nm,iostr,pltlist):=Hatchdata(nm,iostr,pltlist,[]); +Hatchdata(nm,iostr,pltlist,optionorg):=( //17.09.18 +//help:Hatchdata("1","ii",[["gr1"],["gr2","n"]]); +//help:Hatchdata(options=["Wait=5"]); + regional(options,name,eqL,reL,strL, + plt,fname,options,tmp,tmp1,tmp2,tmp3,flg,wflg,waiting); + name="ha"+nm; + fname=Fhead+name+".txt"; + options=optionorg; + tmp=Divoptions(options); + eqL=tmp_5; + reL=tmp_6; + strL=tmp_7; + waiting=5; + forall(eqL, + tmp=indexof(#,"="); + tmp1=Toupper(substring(#,0,1)); + tmp2=substring(#,tmp,length(#)); + if(tmp1=="W", + waiting=parse(tmp2); + options=remove(options,[#]); + ); + ); + wflg=0; + forall(strL, + tmp=Toupper(substring(#,0,1)); + if(length(#)==0, + options=remove(options,[#]); + ); + if(tmp=="M", + wflg=1; + options=remove(options,[#]); + ); + if(tmp=="R", + wflg=-1; + options=remove(options,[#]); + ); + ); + if(islist(iostr), + tmp1=text(apply(iostr,Dq+#+Dq)); + tmp1=replace(tmp1,"[","list("); //16.02.14 + tmp1=replace(tmp1,"]",")"); //16.02.14 + , + tmp1=Dq+iostr+Dq; + ); + if(!islist(pltlist_1), + tmp2=apply(pltlist,if(length(#)==1,Dq+#+Dq,Chunderscore(#))); + tmp2=text(tmp2); + tmp2="list("+substring(tmp2,1,length(tmp2)-1)+"),"; + , + tmp2=""; + forall(pltlist,plt, + tmp=apply(plt,if(length(#)==1,Dq+#+Dq,Chunderscore(#))); // 16.04.06 + tmp=text(tmp); + tmp="list("+substring(tmp,1,length(tmp)-1)+")"; + tmp2=tmp2+tmp+","; + ); + ); + cmdL=MkprecommandR(); + tmp2=substring(tmp2,0,length(tmp2)-1); + tmp=[tmp1,tmp2]; + tmp=concat(tmp,reL); + cmdL=concat(cmdL,[ + "Setscaling",[SCALEY], + "Setunitlen",[Dq+ULEN+Dq], + name+"=Hatchdata",tmp, //16.12.23 + "WriteOutData",[Dq+fname+Dq,Dq+name+Dq,name] + ]); + options=append(options,"Wait="+text(waiting)); + if(wflg==1,options=concat(options,["m"])); + if(wflg==-1,options=concat(options,["r"])); + options=append(options,"Cat=no"); + if(ErrFlag==0, + CalcbyR(name,cmdL,options); + ); + if(ErrFlag==1, + err("Hatchdata not completed"); + , + if(ErrFlag==0, + ReadOutData(fname); + Extractdata(name,options); + ); + ); +); + +PlotdataR(name1,func,var):=PlotdataR(name1,PathR,func,var); +PlotdataR(name1,Arg1,Arg2,Arg3):=( + if(islist(Arg3), + PlotdataR(name1,PathR,Arg1,Arg2,Arg3); + , + PlotdataR(name1,Arg1,Arg2,Arg3,[]); + ); +); +PlotdataR(name1,path,func,variable,optionorg):=( +//help:PlotdataR("1","dnorm(x)","x"); +//help:PlotdataR(options=["m/r","Num=50","Wait=10"]); + regional(options,tmp,tmp1,tmp2,tmp3,name,varstr,flg,Num, + Ltype,Noflg,eqL,strL,flg,outreg,filename,wfile,cmdL,waiting); + name="grR"+name1; + options=optionorg; + tmp=Divoptions(options); + eqL=tmp_5; + strL=tmp_7; + Num=50; + waiting=5; + outreg=0; + flg=0; + forall(eqL, + tmp=indexof(#,"="); + tmp1=substring(#,tmp,length(#)); + if(Toupper(substring(#,0,1))=="N", + Num=parse(tmp1); + options=remove(options,[#]); + ); + if(Toupper(substring(#,0,1))=="W", + waiting=parse(tmp1); + options=remove(options,[#]); + ); + if(Toupper(substring(#,0,1))=="O", + tmp=Toupper(substring(tmp1,0,1)); + if(tmp=="T" % tmp=="Y", outreg=1); + options=remove(options,[#]); + ); + ); + tmp=indexof(variable,"="); + if(tmp>0, + varstr=variable; + , + varstr=variable+"="+textformat([XMIN,XMAX],5); + ); + varstr=replace(varstr,"[","c("); + varstr=replace(varstr,"]",")"); + filename=Fhead+name+".r"; + wfile=Fhead+name+".txt"; + cmdL=MkprecommandR(); + cmdL=concat(cmdL,[ + name+"=Plotdata",[Dq+func+Dq,Dq+varstr+Dq,Dq+"Num="+text(Num)+Dq], + "WriteOutData",[Dq+wfile+Dq,Dq+name+Dq,name] + ]); + if(ErrFlag==0, + CalcbyR(name,cmdL,concat(options,["Cat=middle","Wait="+text(waiting)])); + ); + if(ErrFlag==1, + println("PlotdataR not completed"); + , + if(outreg==1, + OutFileList=remove(OutFileList,[wfile]); + OutFileList=append(OutFileList,wfile); + ); + ReadOutData(wfile); + Extractdata(name,options); + tmp=parse(name); + tmp1=name+"="+textformat(tmp,5); + parse(tmp1); + tmp2=apply(tmp,Lcrd(#)); + tmp2; + ); +); + +PlotdiscR(nm,fun,varrng):=PlotdiscR(nm,fun,varrng,[]); +PlotdiscR(nm,fun,varrng,options):=( +//help:PlotdiscR("1","dbinom(k,10,0.4)","k=[0,10]"); + regional(name,pb,cmdL,var,range,tmp,tmp1,tmp2,wfile); + name="grd"+nm; + tmp=indexof(varrng,"="); + var=substring(varrng,0,tmp-1); + range=parse(substring(varrng,tmp,length(varrng))); + if(length(range)==2, + range=(range_1)..(range_2); + ); + cmdL=[ + "fnb=function("+var+") "+fun,[], + name+"=sapply",[range,"fnb"] + ]; + wfile=Fhead+name+".txt"; + if(ErrFlag==0, + CalcbyR(name,cmdL,options); + ); + if(ErrFlag==1, + println("PlotdiscR not completed"); + , + tmp1=load(wfile); + tmp1=substring(tmp1,0,length(tmp1)-4); + tmp1=replace(tmp1,"##",""); + pb=tokenize(tmp1,","); + tmp=apply(range,[#,pb_(#+1)]); + Listplot(name,tmp,options); + ); +); + +Boxplot(nm,dataorg,ypos,dy):=Boxplot(nm,dataorg,ypos,dy,[]); +Boxplot(nm,dataorg,ypos,dy,optionorg):=( +//help:Boxplot("1",dt,2,1/2,[""]); + regional(options,name,data,bp,cmdL,waiting,tmp,tmp1,tmp2,tmp3,tmp4, + out,eqL,strL,pstr,ext,file,flg,wrflg); + name="bp"+nm; + options=optionorg; + tmp=divoptions(options); + eqL=tmp_5; + strL=tmp_7; + waiting=3; + wrflg=0; + forall(eqL, + tmp=indexof(#,"="); + tmp1=substring(#,0,tmp-1); + tmp2=substring(#,tmp,length(#)); + if(Toupper(substring(tmp1,0,1))=="W", + waiting=parse(tmp2); + options=remove(options,[#]); + ); + ); + forall(strL, + tmp=Toupper(substring(#,0,1)); + if(tmp=="R", + wrflg=-1; + options=remove(options,[#]); + ); + if(tmp=="M", + wrflg=1; + options=remove(options,[#]); + ); + ); + data=dataorg; + if(isstring(data), + if(indexof(data,".")==0,data=data+".dat"); + if(iswindows(), // 15.11.10 + data=replace(data,"/","\"); + flg="\"; + , + data=replace(data,"\","/"); + flg="/"; + ); + forall(reverse(1..length(data)), + if(length(flg)>0, + tmp=substring(data,#-1,#); + if(tmp==flg, + tmp3=substring(data,0,#-1); + tmp4=substring(data,#,length(data)); + if(indexof(tmp3,":")==0, // 11.11.10 + tmp=substring(tmp3,0,1); + if(tmp!=flg, + tmp3=Dirwork+flg+tmp3; + ); + ); + flg=""; + ); + ); + ); + if(length(flg)>0, + tmp3=Dirwork; //15.11.10 + tmp4=data; + ); + setdirectory(tmp3); + tmp=load(tmp4); + if(length(tmp)==0, ErrFlag=2); // 15.11.07 until + setdirectory(Dirwork); + , + file=Fhead+name+".dat"; + tmp=load(file); + if(length(tmp)>0, + tmp1=tokenize(tmp,","); + tmp1=tmp1_(1..(length(tmp1)-1)); + , + tmp1=[]; + ); + flg=0; + if(length(tmp1)==length(data), + tmp=tmp1-data; + tmp=select(tmp,#!=0); + if(length(tmp)>0,flg=1); + , + flg=1; + ); + if(flg==1, + SCEOUTPUT=openfile(file); + forall(data, + print(SCEOUTPUT,textformat(#,5)+","); + ); + println(SCEOUTPUT,"////"); + closefile(SCEOUTPUT); +// wait(WaitUnit); + ); + data=file; + ); + data=replace(data,"\","/"); + cmdL=[ + "tmp=readLines",[Dq+data+Dq, "warn=FALSE"], + "tmp=substring",["tmp",1,"nchar(tmp)-4"], + "data=strsplit",["tmp",Dq+","+Dq,"fix=TRUE"], + "data=data[[1]]",[], + "fun=function(s) eval(parse(text=s))",[], + "data=sapply",["data","fun"], + "data=data[!is.na(data)]",[], + "tmp=boxplot",["data","plot=FALSE"], + "tmp1=tmp$stat",[], + "tmp2=tmp$out",[], + name+"=c(tmp1,tmp2)",[] + ]; + file=Fhead+name+".txt"; + options=append(options,"Wait="+text(waiting)); + if(wrflg==1,options=append(options,"m")); + if(wrflg==-1,options=append(options,"r")); + if(ErrFlag==0, + CalcbyR(name,cmdL,options); + ); + if(ErrFlag>0, + if(ErrFlag==1,println("Boxplot not completed")); + if(ErrFlag==2,println(Dq+data+Dq+" not found")); + , + bp=parse(name); + pstr="["; + tmp1=[bp_1,ypos-dy/2]; + tmp2=[bp_1,ypos+dy/2]; + Listplot(name+text(1),[tmp1,tmp2],["Msg=no"]); + pstr=pstr+Dq+"sg"+name+text(1)+Dq+","; + tmp1=[bp_2,ypos-dy]; + tmp2=[bp_2,ypos+dy]; + tmp3=[bp_4,ypos+dy]; + tmp4=[bp_4,ypos-dy]; + Listplot(name+text(2),[tmp1,tmp2,tmp3,tmp4,tmp1],["Msg=no"]); + pstr=pstr+Dq+"sg"+name+text(2)+Dq+","; + tmp1=[bp_5,ypos-dy/2]; + tmp2=[bp_5,ypos+dy/2]; + Listplot(name+text(3),[tmp1,tmp2],["Msg=no"]); + pstr=pstr+Dq+"sg"+name+text(3)+Dq+","; + tmp1=[bp_3,ypos-dy]; + tmp2=[bp_3,ypos+dy]; + Listplot(name+text(4),[tmp1,tmp2],["dr,2","Msg=no"]); + pstr=pstr+Dq+"sg"+name+text(4)+Dq+","; + tmp1=[bp_1,ypos]; + tmp2=[bp_2,ypos]; + Listplot(name+text(5),[tmp1,tmp2],["da","Msg=no"]); + pstr=pstr+Dq+"sg"+name+text(5)+Dq+","; + tmp1=[bp_4,ypos]; + tmp2=[bp_5,ypos]; + Listplot(name+text(6),[tmp1,tmp2],["da","Msg=no"]); + pstr=pstr+Dq+"sg"+name+text(6)+Dq+","; + out=bp_(6..length(bp)); + if(length(out)>0, + out=apply(out,[#,ypos]); + Pointdata(name+text(1),out,[0,"Size=4"]); + ); + pstr=substring(pstr,0,length(pstr)-1)+"]"; + println("generate totally "+name); + tmp=name+"="+pstr; + [bp_(1..5),out]; + ); +); + +Histplot(nm,dataorg):=Histplot(nm,dataorg,[]); +Histplot(nm,dataorg,optionorg):=( +//help:Histplot("1",data(fillename)); +//help:Histplot(options=["Breaks=","Den=no","Rel=no"]); + regional(options,name,data,waiting,hp,cmdL,tmp,tmp1,tmp2,tmp3,tmp4, + out,eqL,strL,breaks,bdata,cdata,pstr,file,flg,rwflg,density,relative); + name="hp"+nm; + options=optionorg; + tmp=divoptions(options); + eqL=tmp_5; + strL=tmp_7; + breaks = "breaks="+Dq+"Sturges"+Dq; + density=0; + relative=0; + waiting=3; + forall(eqL, + tmp=indexof(#,"="); + tmp1=substring(#,tmp,length(#)); + if(Toupper(substring(#,0,1))=="B", + if(substring(tmp1,0,1)=="[", + tmp1="c("+substring(tmp1,1,length(tmp1)-1)+")"; + ); + breaks="breaks="+tmp1; + options=remove(options,[#]); + ); + if(Toupper(substring(#,0,1))=="D", + tmp2=Toupper(substring(tmp1,0,1)); + if(tmp2=="T" % tmp2=="Y", + density=1; + ); + options=remove(options,[#]); + ); + if(Toupper(substring(#,0,1))=="R", + tmp2=Toupper(substring(tmp1,0,1)); + if(tmp2=="T" % tmp2=="Y", + relative=1; + ); + options=remove(options,[#]); + ); + if(Toupper(substring(#,0,1))=="W", + waiting=parse(tmp1); + options=remove(options,[#]); + ); + ); + wrflg=0; + forall(strL, + tmp=Toupper(substring(#,0,1)); + if(tmp=="R", + wrflg=-1; + options=remove(options,[#]); + ); + if(tmp=="M", + wrflg=1; + options=remove(options,[#]); + ); + ); + data=dataorg; + if(isstring(data), + if(indexof(data,".")==0,data=data+".csv"); + if(iswindows(), // 15.11.10 + data=replace(data,"/","\"); + flg="\"; + , + data=replace(data,"\","/"); + flg="/"; + ); + forall(reverse(1..length(data)), + if(length(flg)>0, + tmp=substring(data,#-1,#); + if(tmp==flg, + tmp3=substring(data,0,#-1); + tmp4=substring(data,#,length(data)); + if(indexof(tmp3,":")==0, // 11.11.10 + tmp=substring(tmp3,0,1); + if(tmp!=flg, + tmp3=Dirwork+flg+tmp3; + ); + ); + flg=""; + ); + ); + ); + if(length(flg)>0, + tmp3=Dirwork; //15.11.10 + tmp4=data; + ); + setdirectory(tmp3); + tmp=load(tmp4); + if(length(tmp)==0, ErrFlag=2); // 15.11.07 until + setdirectory(Dirwork); + , + file=Fhead+name+".dat"; + tmp=load(file); + if(length(tmp)>0, + tmp1=tokenize(tmp,","); + tmp1=tmp1_(1..(length(tmp1)-1)); + , + tmp1=[]; + ); + flg=0; + if(length(tmp1)==length(data), + tmp=tmp1-data; + tmp=select(tmp,#!=0); + if(length(tmp)>0,flg=1); + , + flg=1; + ); + if(flg==1, + SCEOUTPUT=openfile(file); + forall(data, + print(SCEOUTPUT,textformat(#,5)+","); + ); + println(SCEOUTPUT,"////"); + closefile(SCEOUTPUT); +// wait(WaitUnit); + ); + data=file; + ); + data=replace(data,"\","/"); + cmdL=[ + "tmp=readLines",[Dq+data+Dq, "warn=FALSE"], + "tmp=substring",["tmp",1,"nchar(tmp)-4"], + "data=strsplit",["tmp",Dq+","+Dq,"fix=TRUE"], + "data=data[[1]]",[], + "fun=function(s) eval(parse(text=s))",[], + "data=sapply",["data","fun"], + "data=data[!is.na(data)]",[], + "tmp=hist",["data","plot=FALSE",breaks], + "tmp1=tmp$breaks",[], + "tmp2=tmp$count",[], + "tmp3=tmp$density",[], + name+"=c(tmp1,tmp2,tmp3)",[] + ]; + file=Fhead+name+".txt"; + options=append(options,"Wait="+text(waiting)); + if(wrflg==1,options=append(options,"m")); + if(wrflg==-1,options=append(options,"r")); + if(ErrFlag==0, + CalcbyR(name,cmdL,options); + ); + if(ErrFlag>0, + if(ErrFlag==1,println("Histplot not completed")); + if(ErrFlag==2,println(Dq+data+Dq+" not found")); + , +// tmp=load(file); +// tmp=replace(tmp,"/",""); +// tmp=tokenize(tmp,","); +// tmp=name+"="+textformat(tmp,5); +// parse(tmp); + hp=parse(name); + tmp1=(length(hp)-1)/3+1; + tmp2=tmp1+(length(hp)-1)/3; + bdata=hp_(1..tmp1); + if(density==0, + cdata=hp_((tmp1+1)..tmp2); + , + cdata=hp_((tmp2+1)..length(hp)); + ); + if(relative==1, + cdata=cdata/sum(cdata); + ); + options=append(options,"Msg=no"); // 15.10.03 + pstr="["; + forall(1..length(cdata), + tmp1=[bdata_#,0]; + tmp2=[bdata_#,cdata_#]; + tmp3=[bdata_(#+1),cdata_#]; + tmp4=[bdata_(#+1),0]; + Listplot(name+text(#),[tmp1,tmp2,tmp3,tmp4,tmp1],options); + pstr=pstr+Dq+"sg"+name+text(#)+Dq+","; + ); + pstr=substring(pstr,0,length(pstr)-1)+"]"; + println("generate totally "+name); + tmp=name+"="+pstr; + parse(tmp); + [bdata,cdata]; + ); +); + +Scatterplot(nm,file):=Scatterplot(nm,file,[]); +Scatterplot(nm,file,optionorg):=( +//help:Scatterplot("1",path+filename); +//help:Scatterplot(options=["Reg=yes",A,B,C,"Size"=4"]); + regional(tmp,tmp1,tmp2,fname,name,reg,eqL,reL,cdysize, + options,dtx,dty,nn,mx,my,sx,sy,sxy,rr,aa,bb,size); + name="sc"+nm; + options=optionorg; + tmp=divoptions(options); + eqL=tmp_5; + reL=tmp_6; + options=remove(options,reL); + cdysize=select(options,indexof(#,"size->")>0); + options=remove(options,cdysize); + size=4; + reg="yes"; + forall(eqL, + tmp=indexof(#,"="); + tmp1=Toupper(substring(#,0,1)); + tmp2=substring(#,tmp,length(#)); + if(tmp1=="R", + reg=tmp2; + options=remove(options,[#]); + ); + if(tmp1=="S", + size=parse(tmp2); + options=remove(options,[#]); + ); + ); + if(indexof(file,".")==0, + fname=file+".csv"; + , + fname=file; + ); + Readcsv(nm,fname); + tmp=concat(options,cdysize); + Pointdata(name,parse("rc"+nm),append(tmp,"Size="+text(size))); + tmp=parse("rc"+nm); + dtx=apply(tmp,#_1); + dty=apply(tmp,#_2); + nn=length(dtx); + mx=sum(dtx)/nn; + my=sum(dty)/nn; + sx=sqrt(dtx*dtx/nn-mx^2); + sy=sqrt(dty*dty/nn-my^2); + sxy=dtx*dty/nn-mx*my; + rr=sxy/sx/sy; + aa=sxy/sx^2; + bb=my-aa*mx; + tmp=Assign("a*x+b",["a",aa,"b",bb]); + if(reg!="no", + Plotdata(name,tmp,"x",append(options,"Num=2")); + ); + if(length(reL)>=2, + Framedata2(name,[reL_1,reL_2]); + if(length(reL)>2, + tmp="r="+textformat(rr,3)+",\ y="; + tmp=tmp+textformat(aa,3)+"x"; + if(bb>0,tmp=tmp+"+",tmp=tmp+"-"); + tmp=tmp+textformat(abs(bb),3); + Expr([reL_3,"e",tmp]); + ); + ); + [mx,my,sx,sy,sxy,rr,bb,aa]; +); + +Rulerscale(pt,hscale,vscale):=Rulerscale(pt,hscale,vscale,0.1); +Rulerscale(pt,hscale,vscale,tick):=( +//help:Rulerscale(A,["r",0,5,1],["s2",0,2,4]); +//help:Rulerscale(A,["r",0,5,1],["f",10,"a",20,"w2","b"]); +//help:Rulerscale(A,["r",0,5,1],["r",0,10,1],0.2); + regional(pA,pos,mrk,dir,tmp,tmp1,tmp2,tmp3); + pA=Lcrd(pt); + if(length(hscale)>0, + pos=[]; mrk=[]; dir=[]; + tmp=Toupper(substring(hscale_1,0,1)); + if(tmp=="R" % tmp=="F", + if(tmp=="R", + dir="s2"; + tmp1=hscale_2; + tmp2=hscale_3; + tmp3=hscale_4; + tmp=floor((tmp2-tmp1)/tmp3); + pos=apply(0..tmp,tmp1+#*tmp3); + mrk=apply(pos,text(#)); + dir=apply(1..length(pos),"s2"); + , + forall(2..(length(hscale)-2), + tmp1=hscale_(#); + tmp2=hscale_(#+1); + tmp3=hscale_(#+2); + if(isreal(tmp1), + pos=append(pos,tmp1); + if(isstring(tmp3), + dir=append(dir,tmp2); + mrk=append(mrk,tmp3); + , + dir=append(dir,"s2"); + mrk=append(mrk,tmp2); + ); + ); + ); + if(isreal(tmp2), + pos=append(pos,tmp2); + dir=append(dir,"s2"); + mrk=append(mrk,tmp3); + ); + ); + , + pos=hscale_(2..length(hscale)); + dir=apply(pos,"s2"); + mrk=apply(pos,text(#)); + ); + pos=apply(pos,[#,pA_2]); + forall(1..length(pos), + Expr([pos_#,dir_#,mrk_#]); + tmp1=pos_#; + tmp2=pos_#-[0,tick/SCALEY]; + Listplot("rsh"+text(#),[tmp1,tmp2],["Msg=no"]); + ); + ); + if(length(vscale)>0, + pos=[]; mrk=[]; dir=[]; + tmp=Toupper(substring(vscale_1,0,1)); + if(tmp=="R" % tmp=="F", + if(tmp=="R", + dir="w2"; + tmp1=vscale_2; + tmp2=vscale_3; + tmp3=vscale_4; + tmp=floor((tmp2-tmp1)/tmp3); + pos=apply(0..tmp,tmp1+#*tmp3); + mrk=apply(pos,text(#)); + dir=apply(1..length(pos),"w2"); + , + forall(2..(length(vscale)-2), + tmp1=vscale_(#); + tmp2=vscale_(#+1); + tmp3=vscale_(#+2); + if(isreal(tmp1), + pos=append(pos,tmp1); + if(isstring(tmp3), + dir=append(dir,tmp2); + mrk=append(mrk,tmp3); + , + dir=append(dir,"w2"); + mrk=append(mrk,tmp2); + ); + ); + ); + if(isreal(tmp2), + pos=append(pos,tmp2); + dir=append(dir,"w2"); + mrk=append(mrk,tmp3); + ); + ); + , + pos=vscale_(2..length(vscale)); + dir=apply(pos,"w1"); + mrk=apply(pos,text(#)); + ); + pos=apply(pos,[pA_1,#]); + forall(1..length(pos), + Expr([pos_#,dir_#,mrk_#]); + tmp1=pos_#; + tmp2=pos_#-[tick/SCALEX,0]; + Listplot("rsv"+text(#),[tmp1,tmp2],["Msg=no"]); + ); + ); +); + +MkprecommandR():=MkprecommandR(6); +MkprecommandR(prec):=( + regional(cmdL,Plist,tmp,tmp1,tmp2); + Plist=[]; + Pnamelist=[]; + Pvaluelist=[]; + forall(remove(allpoints(),[SW,NE]), + tmp=textformat(re(Lcrd(#)),prec); + tmp=RSform(tmp); + tmp1=#.name; + tmp1=tmp1+"="+tmp+";Assignadd('"+tmp1+"',"+tmp1+")"; + Plist=append(Plist,tmp1); + ); + cmdL=[]; + forall(1..(length(Plist)), + cmdL=concat(cmdL,[Plist_#,[]]); + ); + tmp2=sort(apply(VLIST,#_1)); // 16.02.03 from + tmp=apply(allpoints(),text(#));//18.02.11 + tmp2=remove(tmp2,tmp); + tmp1=[]; + forall(tmp2,tmp, + tmp1=concat(tmp1,select(VLIST,#_1==tmp)); + ); + VLIST=tmp1;// 17.09.24from + forall(VLIST, + tmp=#_1; + tmp1=#_2; + if(!isstring(tmp1), + if(islist(tmp1), + tmp2="["; + forall(tmp1, + tmp2=tmp2+textformat(#,6)+","; + ); + tmp1=substring(tmp2,0,length(tmp2)-1)+"]"; + , + tmp1=format(tmp1,6); + ); + ); + tmp1=RSform(tmp1); + tmp1=tmp+"="+tmp1+";"; + tmp1=tmp1+"Assignadd('"+tmp+"',"+tmp+")"; + cmdL=concat(cmdL,[tmp1,[]]);//17.09.24until + ); + forall(OutFileList, + cmdL=concat(cmdL,["tmp=ReadOutData",[Dq+#+Dq]]); + ); + forall(FUNLIST, + cmdL=concat(cmdL,[#,[]]); + ); + forall(GLIST, + if(indexof(#,"ReadOutData")==0, //18.02.12 + tmp1=Rform(#); + cmdL=concat(cmdL,[tmp1,[]]); + ); + ); + cmdL; +); + + +MkprecommandS():=MkprecommandS(6); +MkprecommandS(prec):=( + regional(cmdL,Plist,Pnamelist,Pvaluelist,tmp,tmp1,tmp2); + cmdL=[]; + Plist=[]; + Pnamelist=[]; + Pvaluelist=[]; + forall(remove(allpoints(),[SW,NE]), + tmp=Lcrd(#); + tmp1=format(re(tmp_1),prec);// 15.02.05 + tmp2=format(re(tmp_2),prec); + tmp="["+tmp1+","+tmp2+"]"; + Plist=append(Plist,#.name+"="+tmp); + Pnamelist=append(Pnamelist,#.name); + Pvaluelist=append(Pvaluelist,tmp); + ); + forall(1..length(Plist), + cmdL=concat(cmdL,[Plist_#,[]]); + cmdL=concat(cmdL,["Assignrep('"+Pnamelist_#+"',"+Pvaluelist_#+")",[]]); + ); + tmp2=sort(apply(VLIST,#_1)); // 16.02.03 from + tmp1=[]; + forall(tmp2,tmp, + tmp1=concat(tmp1,select(VLIST,#_1==tmp)); + ); + VLIST=tmp1;// 16.02.03 until + forall(VLIST, + tmp=Sciform(#_1); + tmp1=#_2; // 15.02.06 + if(!isstring(tmp1), + if(islist(tmp1), + if(!isstring(tmp1_1), // 16.11.14 + tmp2="["; + forall(tmp1, + if(abs(#)<10^(-prec), // 16.01.30 + tmp2=tmp2+"0,"; + , + tmp2=tmp2+format(#,prec)+","; + ); + ); + tmp1=substring(tmp2,0,length(tmp2)-1)+"]"; + , + tmp2="list("; // 16.11.14from + forall(tmp1, + tmp2=tmp2+#+","; + ); + tmp1=substring(tmp2,0,length(tmp2)-1)+")"; + ); // 16.11.14until + , + tmp1=format(tmp1,prec); + ); + ); + cmdL=concat(cmdL,[tmp+"evstr('"+tmp1+"')",[]]); + tmp=substring(tmp,0,length(tmp)-1); + cmdL=concat(cmdL,["Assignrep('"+tmp+"',"+tmp1+")",[]]); // 15.01.27 + ); + forall(OutFileList, + tmp=["tmp=ReadOutData",[Dq+#+Dq], + "if length(tmp(1))>8,execstr(tmp),end",[]]; + cmdL=concat(cmdL,tmp); + ); + forall(FUNLIST, // 16.02.17 from + cmdL=concat(cmdL,[#,[]]); + ); // 16.02.17 until + forall(GLIST, + tmp1=Sciform(#); + cmdL=concat(cmdL,[tmp1,[]]); + ); + cmdL; +); + +PlotdataS(name1,func,var):=PlotdataS(name1,func,var,[]); +PlotdataS(nm,fun,variable,optionorg):=( +//help:PlotdataS("1","besselj(1,x)","x"); +//help:PlotdataS(options=["m/r","Num=50","Wait=5","Mx=no"]); + regional(options,name,varstr,Num,waiting,mxcheck,outreg, + eqL,strL,fname,tmp,tmp1,tmp2,tmp3,cmdL,flg,wflg); + name="grsc"+nm; + fname=Fhead+name+".txt"; + options=optionorg; + tmp=Divoptions(options); + eqL=tmp_5; + strL=tmp_7; + Num=50; + waiting=5; + mxcheck=0; // 16.03.02 + outreg=0; + flg=0; + forall(eqL, + tmp=indexof(#,"="); + tmp1=Toupper(substring(#,0,1)); + tmp2=substring(#,tmp,length(#)); + if(tmp1=="N", + Num=parse(tmp2); + options=remove(options,[#]); + ); + if(tmp1=="W", + waiting=parse(tmp2); + options=remove(options,[#]); + ); + if(tmp1=="O", + tmp=Toupper(substring(tmp2,0,1)); + if(tmp=="T" % tmp=="Y", outreg=1); + options=remove(options,[#]); + ); + if(tmp1=="M", + tmp=Toupper(substring(tmp2,0,1)); + if(tmp=="T" % tmp=="Y", mxcheck=1); + options=remove(options,[#]); + ); + ); + wflg=0; + forall(strL, + tmp=Toupper(substring(#,0,1)); + if(length(#)==0, + options=remove(options,[#]); + ); + if(tmp=="M", + wflg=1; + options=remove(options,[#]); + ); + if(tmp=="R", + wflg=-1; + options=remove(options,[#]); + ); + ); + tmp=indexof(variable,"="); + if(tmp>0, + varstr=variable; + , + varstr=variable+"="+textformat([XMIN,XMAX],5); + ); + cmdL=MkprecommandS(); + cmdL=concat(cmdL,[ + name+"=Plotdata",[Dq+fun+Dq,Dq+varstr+Dq,Dq+"Num="+text(Num)+Dq], + "WriteOutData",[Dq+fname+Dq,Dq+name+Dq,name] + ]); + ErrFlag=0; // 16.03.02 from + if(mxcheck==1, + Mxfun(name,fun,[],["Disp=n"]); + tmp=parse("mx"+name); + if(!isstring(tmp),ErrFlag=1); + ); + options=append(options,"Wait="+text(waiting)); + if(wflg==1,options=append(options,"m")); + if(wflg==-1,options=append(options,"r"));// 16.03.02 until + if(ErrFlag==0, + CalcbyS(name,cmdL,concat(options,["cat=middle","Wait="+text(waiting)])); + ); + if(ErrFlag==1, + println(" PlotdataS not completed"); + , + if(outreg==1, // 2016.03.02 ( // ) + OutFileList=remove(OutFileList,[wfile]); + OutFileList=append(OutFileList,wfile); + ); + ReadOutData(fname); + Extractdata(name,options); + tmp=parse(name); + tmp1=name+"="+textformat(tmp,5); + parse(tmp1); +// Addgraph(name); // 16.04.04 + tmp2=apply(tmp,Lcrd(#)); + tmp2; + ); +); + +Dotfilldata(nm,iostr,pltlist):= + Dotfilldata(nm,iostr,pltlist,[]); +Dotfilldata(nm,iostr,pltlist,optionorg):=( +//help:Dotfilldata("1","ii",[["sg1"],["sg2"]]); +//help:Dotfilldata(options=[0.3,"Wait=5"]); + regional(options,name,fun,eqL,reL,strL,outreg, + plt,fname,options,tmp,tmp1,tmp2,tmp3,flg, + wflg,waiting,dense); + name="df"+nm; + fname=Fhead+name+".txt"; + fun=fnorg; + tmp=indexof(fun,"="); + if(tmp>0, + tmp1=substring(fun,0,tmp-1); + tmp2=substring(fun,tmp,length(fun)); + fun=tmp1+"-("+tmp2+")"; + ); + options=optionorg; + tmp=Divoptions(options); + eqL=tmp_5; + reL=tmp_6; + strL=tmp_7; + dense=0.3; + waiting=5; + outreg=0; + forall(reL, + dense=#; + ); + forall(eqL, + tmp=indexof(#,"="); + tmp1=Toupper(substring(#,0,1)); + tmp2=substring(#,tmp,length(#)); + if(tmp1=="W", + waiting=parse(tmp2); + options=remove(options,[#]); + ); + if(tmp1=="O", + tmp=Toupper(substring(tmp2,0,1)); + if(tmp=="T" % tmp=="Y", outreg=1); + options=remove(options,[#]); + ); + ); + wflg=0; + forall(strL, + tmp=Toupper(substring(#,0,1)); + if(length(#)==0, + options=remove(options,[#]); + ); + if(tmp=="M", + wflg=1; + options=remove(options,[#]); + ); + if(tmp=="R", + wflg=-1; + options=remove(options,[#]); + ); + ); + if(islist(iostr), + tmp1=text(apply(iostr,Dq+#+Dq)); + tmp1=replace(tmp1,"[","list("); //16.02.14 + tmp1=replace(tmp1,"]",")"); //16.02.14 + , + tmp1=Dq+iostr+Dq; + ); + if(!islist(pltlist_1), + tmp2=apply(pltlist,if(length(#)==1,Dq+#+Dq,#)); + tmp2=text(tmp2); + tmp2="list("+substring(tmp2,1,length(tmp2)-1)+"),"; + , + tmp2=""; + forall(pltlist,plt, + tmp=apply(plt,if(length(#)==1,Dq+#+Dq,#)); + tmp=text(tmp); + tmp="list("+substring(tmp,1,length(tmp)-1)+")"; + tmp2=tmp2+tmp+","; + ); + ); + cmdL=MkprecommandR(); //17.09.29 + tmp2=substring(tmp2,0,length(tmp2)-1); + tmp=[tmp1,tmp2]; + tmp=concat(tmp,dense); + cmdL=concat(cmdL,[ + "Setscaling",[SCALEY], + "Setunitlen",[Dq+ULEN+Dq], + name+"=Dotfilldata",tmp, + "WriteOutData",[Dq+fname+Dq,Dq+name+Dq,name], + ]); + options=append(options,"Wait="+text(waiting)); + if(wflg==1,options=concat(options,["m"])); + if(wflg==-1,options=concat(options,["r"])); + options=append(options,"Cat=n"); + if(ErrFlag==0, + CalcbyR(name,cmdL,options); //17.09.29 + ); + if(ErrFlag==1, + println("Dotfilldata not completed"); + , + if(outreg==1, + OutFileList=remove(OutFileList,[fname]); + OutFileList=append(OutFileList,fname); + ); + if(ErrFlag==0, + ReadOutData(fname); + tmp1=parse(name); + forall(tmp1, + tmp=#_1; + draw(tmp,pointsize->1); + ); + Com2nd("tmp=ReadOutData("+Dq+fname+Dq+")"); + Com2nd("Drwpt("+name+")"); + ); + ); +); + +WritetoA(fname,cmdL):=( +// help:WritetoA("outdata",cmdL); + regional(tmp,tmp1,tmp2,filename,wfilename,endmark); + if(indexof(fname,".")==0, + filename=fname+".rr"; + , + filename=fname; + ); + wfilename=replace(filename,".rr",".txt"); + SCEOUTPUT = openfile(filename); +// tmp=replace(Dirlib,"\","/"); +// tmp="load("+Dq+tmp+"/oshima/os_muldif.rr"+Dq+")$/*####*/"; + tmp="/*####*/"; // 16.03.11 + println(SCEOUTPUT,tmp); + tmp="output("+Dq+wfilename+Dq+")$/*##*/"; // 16.05.18from + println(SCEOUTPUT,tmp); // 16.05.18until + forall(1..(length(cmdL)), + tmp1=cmdL_#; + tmp=indexof(tmp1,";"); // 16.05.18from + if(tmp>0,endmark=";",endmark="$"); + tmp1=replace(tmp1,";",""); // 16.05.18until + if(#==length(cmdL)-1, + println(SCEOUTPUT,tmp1+";/*##*/"); + , + println(SCEOUTPUT,tmp1+endmark+"/*##*/");//16.05.18 + ); + ); + closefile(SCEOUTPUT); +); + +kcA(fname):=kcA(fname,[]); +kcA(fname,optionorg):=( +//help:kcA("boxdata"); +//help:kcA(options=["r/m"]); + regional(options,tmp,tmp1,tmp2,eqL,strL,filename,flg); + if(indexof(fname,".")==0, + filename=fname+".rr"; + , + filename=fname; + ); + options=optionorg; + tmp=Divoptions(options); + eqL=tmp_5; + strL=tmp_7; + forall(eqL, + tmp=indexof(#,"="); + tmp1=substring(#,0,tmp-1); + tmp2=substring(#,tmp,length(#)); + ); + flg=0; + forall(strL, + if(Toupper(substring(#,0,1))=="R", + flg=0; + options=remove(options,[#]); + ); + if(Toupper(substring(#,0,1))=="M", + flg=1; + ); + ); + if(flg==0, + tmp2=replace(filename,".rr",".txt"); + tmp1=load(tmp2); + if(length(tmp1)==0, + flg=1; + ); + ); + if(flg==1, + tmp1=""; + if(iswindows(), + tmp2=Batparent; + , + tmp2=Shellparent; + ); + flg=0; + forall(reverse(1..length(tmp2)), + if(flg==0, + tmp=substring(tmp2,#-1,#); + if(tmp=="/" % tmp=="\", // 14.01.15 + tmp1=substring(tmp2,0,#-1); + tmp2=substring(tmp2,#,length(tmp2)); + flg=1; + ); + ); + ); + if(length(tmp1)>0, + setdirectory(tmp1); + ); + if(iswindows(), + SCEOUTPUT = openfile("kc.bat"); + println(SCEOUTPUT,"cd "+Dq+Dirwork+Dq); + tmp="del "+replace(filename,".rr",".txt"); + println(SCEOUTPUT,tmp); + tmp=Dq+PathA+Dq+" -quiet -f "+Dq+filename+Dq; + println(SCEOUTPUT,tmp); + println(SCEOUTPUT,"exit"); + closefile(SCEOUTPUT); + tmp=replace(filename,".rr",".txt"); + println(kc(Dirwork+Batparent,Dirlib,tmp)); // 16.05.29,06.05 + , + SCEOUTPUT = openfile("kc.sh"); + println(SCEOUTPUT,"#!/bin/sh"); + println(SCEOUTPUT,"cd "+Dq+Dirwork+Dq); + tmp="rm "+replace(filename,".rr",".txt"); + println(SCEOUTPUT,tmp); + tmp=Dq+PathA+Dq+" -quiet -f "+Dq+filename+Dq; + println(SCEOUTPUT,tmp); + println(SCEOUTPUT,"exit 0"); + closefile(SCEOUTPUT); + tmp=replace(filename,".rr",".txt"); + println(kc(Dirwork+Shellparent,Mackc+Dirlib,tmp));// 16.05.29,06.05 + + ); +// wait(WaitUnit); + setdirectory(Dirwork); + ); +); + +CalcbyA(name,cmd):=CalcbyA(name,cmd,[]); +CalcbyA(name,cmd,optionorg):=( +//help:CalcbyA("a",cmd); +//help:CalcbyA(options= ["m/r","Wait=10","Ext=txt","Dig=16"]]); + regional(options,tmp,tmp1,tmp2,tmp3,tmp4,realL,strL,eqL, + dig,flg,wflg,file,nc,arg,cmdA,cmdlist,wfile,ext,waiting,num,st); + options=optionorg; + tmp=divoptions(options); + eqL=tmp_5; + realL=tmp_6; + strL=tmp_7; + wfile=""; + ext=".txt"; + waiting=2; + dig=6; + forall(eqL, + tmp=indexof(#,"="); + tmp1=Toupper(substring(#,0,1)); + tmp2=substring(#,tmp,length(#)); + if(tmp1=="E", + if(indexof(tmp2,".")==0,ext="."+tmp2,ext=tmp2); + options=remove(options,[#]); + ); + if(tmp1=="W", + waiting=parse(tmp2); + options=remove(options,[#]); + ); + if(tmp1=="D", + dig=parse(tmp2); + options=remove(options,[#]); + ); + ); + wfile=Fhead+name+ext; + wflg=0; + forall(strL, + tmp=Toupper(substring(#,0,1)); + if(tmp=="M", + wflg=1; + options=remove(options,[#]); + ); + if(tmp=="R", + wflg=-1; + options=remove(options,[#]); + ); + ); + file=Fhead+name; + cmdA=cmd; + cmdlist=[]; + forall(1..floor(length(cmdA)/2),nc, //17.5.18 + tmp1=cmdA_(2*nc-1); + tmp1=replace(tmp1,LFmark,""); // 16.06.12 + if(nc==length(cmdA)/2, + tmp=indexof(tmp1,"="); + tmp1=substring(tmp1,tmp,length(tmp1)); + if(substring(tmp1,0,1)=="[", + tmp=substring(tmp1,0,length(tmp1)-1); + , + tmp="["+Dq+"/start/"+Dq+","+tmp1; // 16.05.18 + ); + tmp=replace(tmp,"::",","+Dq+"//"+Dq+","); + tmp1=tmp+","+Dq+"////"+Dq+"]"; + ); + tmp2=cmdA_(2*nc); // list of argments + tmp3=""; + tmp4=""; + forall(tmp2,arg, + if(isstring(arg), + tmp3=tmp3+replace(arg,"'",Dq)+","; +// tmp3=tmp3+arg; + , + if(!islist(arg), + tmp3=tmp3+textformat(arg,dig)+","; + , + tmp3=tmp3+"["; + tmp4="]"; + forall(arg, + if(isstring(#), +// tmp3=tmp3+Dq+#+Dq+","; + tmp=replace(#,"'",Dq); +// tmp=#;// 2016.03.03 + tmp3=tmp3+tmp+","; + , + if(!islist(#), + tmp3=tmp3+textformat(#,dig)+","; + , + tmp=textformat(#,dig); + tmp=replace(tmp,"],[","];["); + tmp3=tmp3+tmp+","; + ); + ); + ); + tmp3=substring(tmp3,0,length(tmp3)-1)+tmp4+","; + ); + ); + ); + if(length(tmp3)>0, + tmp3=substring(tmp3,0,length(tmp3)-1); + tmp1=tmp1+"("+tmp3+")"; + ); + cmdlist=append(cmdlist,tmp1); + ); + cmdlist=append(cmdlist,"quit"); + if(wflg==0, + tmp1=load(file+".rr"); + if((length(tmp1)==0) % (indexof(tmp1,"/*####*/")==0), //15.11.26 + wflg=1; + , + tmp1=tokenize(tmp1,"/*####*/"); + tmp1=tokenize(tmp1_2,"/*##*/"); + tmp1=tmp1_(1..(length(tmp1)-1)); + tmp=select(tmp1,indexof(#,"output")>0); + tmp1=remove(tmp1,tmp); + tmp1=apply(tmp1,substring(#,0,length(#)-1)); + if(length(tmp1)!=length(cmdlist), // 15.12.06 + wflg=1; + , + tmp=select(1..length(tmp1),tmp1_#!=cmdlist_#); + if(length(tmp)>0, wflg=1); + ); + ); + ); + if(wflg==0,wflg=-1); // 15.10.16 + if(wflg==1, + if(length(wfile)>0, // 15.10.05 + SCEOUTPUT=openfile(wfile); + println(SCEOUTPUT,""); + closefile(SCEOUTPUT); + ); + WritetoA(file+".rr",cmdlist); + kcA(file,concat(options,["m"])); + ); + flg=0; + tmp1=floor(waiting*1000/WaitUnit); + repeat(tmp1, + if(flg==0, + tmp=load(wfile); + if(length(tmp)>=4, + tmp2=substring(tmp,length(tmp)-5,length(tmp)); + if(tmp2=="////]", + tmp=substring(tmp,1,length(tmp)-6); + num="1234567890+-."; + tmp1=tokenize(","+tmp,",//"); + tmp3=apply(tmp1,substring(#,1,length(#))); + tmp1="["; + forall(tmp3,st, + tmp=select(1..length(st),indexof(num,substring(st,#-1,#))==0); + if((length(tmp)==0) & (length(st)<4), // 16.05.10 16=>4 + tmp1=tmp1+st+","; + , + tmp1=tmp1+Dq+st+Dq+","; + ); + ); + tmp=Indexof(tmp1,"/start/,"); // 16.05.18from + tmp1="["+Dq+substring(tmp1,tmp+7,length(tmp1)-1)+"]"; + // 16.05.18until +// tmp1=substring(tmp1,0,length(tmp1)-1)+"]"; + parse(name+"="+tmp1); + tmp=parse(name); + if(length(tmp)==1, + tmp1=substring(tmp1,1,length(tmp1)-1); + parse(name+"="+tmp1); + ); + flg=1; + tmp2=#*WaitUnit/1000; + ); + , + if(wflg==-1, + flg=-1; + , + wait(WaitUnit); + ); + ); + ); + ); + if(flg<=0, + ErrFlag=1; + if(flg==-1, + println(wfile+" does not exist"); + , + tmp="("+text(waiting)+" s )"; + println(wfile+" not generated "+tmp); + ); + , + println(" CalcbyA succeeded "+name+" ("+text(tmp2)+" sec)"); + ); +); + +AsfunO(name,fun,argL):=AsirfunO(name,fun,argL); // 16.02.03 +AsfunO(name,fun,argL,options):=AsirfunO(name,fun,argL,options); +Asfun(name,fun,argL):=Asirfun(name,fun,argL); +Asfun(name,fun,argL,optionorg):=Asirfun(name,fun,argL,optionorg); +AsirfunO(name,fun,argL):=AsirfunO(name,fun,argL,[]); +AsirfunO(name,fun,argLorg,options):=( +//help:AsirfunO("an1","fint",["1/(x^2+1)",32,"['-','+']"]); + regional(argL,tmp,tmp1,tmp2,eqL);// 16.05.26from + tmp=divoptions(options); + eqL=tmp_5; + argL=argLorg; + forall(eqL, + tmp=indexof(#,"="); + tmp1=Toupper(substring(#,0,3)); + tmp2=substring(#,tmp,length(#)); + if(tmp1=="PRO", // 16.05.26from + tmp=Toupper(substring(tmp2,0,1)); + if((tmp=="T") % (tmp=="Y"), + tmp1=argL_(length(argL)); + tmp=indexof(tmp1,"|"); + if(tmp==0, + argL_(length(argL))=tmp1+"|dumb=-1,dviout=-2"; + ); + ); + ); + ); // 16.05.26until + Asirfun(name,"os_md."+fun,argL,options); +); +Asirfun(name,fun,argL):=Asirfun(name,fun,argL,[]); +Asirfun(name,fun,argL,optionorg):=( +//help:Asirfun("al1","2*(3+5^4)",[],[""]); + regional(nm,options,eqL,precise,disp,process, + cmdL,tmp,tmp1,tmp2,tmp3,tmp4,out,out2); + nm="as"+name; + options=optionorg; + tmp=divoptions(options); + precise=6; + disp=1; + process=0; + eqL=tmp_5; + forall(eqL, + tmp=indexof(#,"="); + tmp1=Toupper(substring(#,0,3)); + tmp2=substring(#,tmp,length(#)); + if(tmp1=="PRE", + precise=parse(tmp2); + options=remove(options,[#]); + ); + if((tmp1=="DIS") % (tmp1=="DSP"), + tmp=Toupper(substring(tmp2,0,1)); + if((tmp=="F") % (tmp=="N"), + disp=0; + ); + options=remove(options,[#]); + ); + if(tmp1=="PRO", // 16.05.26from + tmp=Toupper(substring(tmp2,0,1)); + if((tmp=="T") % (tmp=="Y"), + process=1; + ); + options=remove(options,[#]); + ); // 16.05.26upt + ); + tmp=replace(Dirlib,"\","/"); + cmdL=[ + "load",[Dq+tmp+"/oshima/os_muldif.rr"+Dq], // 16.03.11 + "ctrl",[Dq+"real_digit"+Dq,precise], + "A="+fun,argL, // 16.05.26from + "A",[] + ]; + CalcbyA(nm,cmdL,options); + out=parse(nm); //16.05.26from + if(process==1, + tmp1=Bracket(out,"[]"); + tmp2=select(tmp1,abs(#_2)==2); + tmp2=apply(tmp2,#_1); + out=[]; + forall(1..length(tmp2)/2, + tmp3=tmp2_(2*#-1); + tmp4=tmp2_(2*#); + tmp=substring(as1,tmp3+1,tmp4-2); + tmp=tokenize(tmp,"],["); + out=append(out,tmp); + ); + out2=[]; + forall(out,tmp2, + tmp4=""; + forall(tmp2,tmp3, + tmp1=tokenize(tmp3,","); + if(tmp1_1==0, + tmp4=tmp4+tmp1_2+"="+tmp1_3+"+"; + , + if(tmp1_1==1, + tmp4=tmp4+tmp1_2+"+"; + , + tmp="'integrate("; + forall(2..length(tmp1), + tmp=tmp+tmp1_#+"+"; + ); + tmp=substring(tmp,0,length(tmp)-1); + tmp=tmp+","+tmp1_1+")"; + tmp4=tmp4+tmp+"+"; + ); + ); + ); + tmp4=substring(tmp4,0,length(tmp4)-1); + out2=append(out2,tmp4); + ); + out=out2; + tmp=apply(out,Dq+#+Dq); + parse(nm+"="+tmp); + ); + if(ErrFlag==0, + if(disp==1, // 15.11.24 + println(nm+" is : "); + println(parse(nm)); + ); + ); + out; //16.05.26until +); + +WritetoM(fname,cmdL,allflg):=( +// help:WritetoM("outdata",cmdL); + regional(tmp,tmp1,tmp2,filename,wfilename,outflg); + if(indexof(fname,".")==0, + filename=fname+".max"; + , + filename=fname; + ); + wfilename=replace(filename,".max",".txt"); + SCEOUTPUT = openfile(filename); + outflg=0; + forall(1..(length(cmdL)), + tmp1=cmdL_#; + + if(allflg==1, // 2016.02.23 from + if(#==1, + tmp="writefile("+Dq+Dirwork+"/"+wfilename+Dq+")$/*##*/"; + tmp=replace(tmp,"\","/"); + println(SCEOUTPUT,tmp); + outflg=1; + println(SCEOUTPUT,tmp1+"$/*##*/"); + , + println(SCEOUTPUT,tmp1+"$/*##*/"); + ); + , + if((indexof(tmp1,"disp(")>0) & (outflg==0), + tmp="writefile("+Dq+Dirwork+"/"+wfilename+Dq+")$/*##*/"; + tmp=replace(tmp,"\","/"); + println(SCEOUTPUT,tmp); + outflg=1; + println(SCEOUTPUT,tmp1+"$/*##*/"); + , + println(SCEOUTPUT,tmp1+"$/*##*/"); + ); + ); + ); + closefile(SCEOUTPUT); +); + +kcM(fname):=kcM(fname,[]); +kcM(fname,optionorg):=( +//help:kcM("boxdata"); +//help:kcM(options=["r/m"]); + regional(options,tmp,tmp1,tmp2,eqL,strL,filename,flg); + if(indexof(fname,".")==0, + filename=fname+".max"; + , + filename=fname; + ); + options=optionorg; + tmp=Divoptions(options); + eqL=tmp_5; + strL=tmp_7; + forall(eqL, + tmp=indexof(#,"="); + tmp1=substring(#,0,tmp-1); + tmp2=substring(#,tmp,length(#)); + ); + flg=0; + forall(strL, + if(Toupper(substring(#,0,1))=="R", + flg=0; + options=remove(options,[#]); + ); + if(Toupper(substring(#,0,1))=="M", + flg=1; + ); + ); + if(flg==0, + tmp2=replace(filename,".max",".txt"); + tmp1=load(tmp2); + if(length(tmp1)==0, + flg=1; + ); + ); + if(flg==1, + tmp1=""; + if(iswindows(), + tmp2=Batparent; + , + tmp2=Shellparent; + ); + flg=0; + forall(reverse(1..length(tmp2)), + if(flg==0, + tmp=substring(tmp2,#-1,#); + if(tmp=="/" % tmp=="\", // 14.01.15 + tmp1=substring(tmp2,0,#-1); + tmp2=substring(tmp2,#,length(tmp2)); + flg=1; + ); + ); + ); + if(length(tmp1)>0, + setdirectory(tmp1); + ); + if(iswindows(), + SCEOUTPUT=openfile(replace(filename,".max",".txt")); + println(SCEOUTPUT,""); + closefile(SCEOUTPUT); + SCEOUTPUT = openfile("kc.bat"); + println(SCEOUTPUT,"cd "+Dq+Dirwork+Dq); +// tmp="del "+replace(filename,".max",".txt"); +// println(SCEOUTPUT,tmp); + tmp=Indexall(PathM,"."); + tmp=substring(PathM,tmp_1,tmp_2-1); + tmp=parse(tmp); + if(tmp<39, + tmp="call "+Dq+Dq+PathM+Dq+Dq+" -b "+Dq+filename+Dq; + , + tmp="call "+Dq+PathM+Dq+" -b "+Dq+filename+Dq; + ); +// tmp="cmd/c "+Dq+PathM+" -b "+filename+Dq; + println(SCEOUTPUT,tmp); + println(SCEOUTPUT,"exit"); + closefile(SCEOUTPUT); + tmp=replace(filename,".max",".txt"); + println(kc(Dirwork+Batparent,Mackc+Dirlib,tmp));// 16.05.29,06.05 + , + SCEOUTPUT = openfile("kc.sh"); + println(SCEOUTPUT,"#!/bin/sh"); + println(SCEOUTPUT,"cd "+Dq+Dirwork+Dq); + tmp="rm "+replace(filename,".max",".txt"); + println(SCEOUTPUT,tmp); + tmp=Dq+PathM+Dq+" -b "+Dq+filename+Dq; + println(SCEOUTPUT,tmp); + println(SCEOUTPUT,"exit 0"); + closefile(SCEOUTPUT); + tmp=replace(filename,".max",".txt"); + println(kc(Dirwork+Shellparent,Mackc+Dirlib,tmp));// 16.05.29,06.05 + ); +// wait(WaitUnit); + setdirectory(Dirwork); + ); +); + +CalcbyM(name,cmd):=CalcbyM(name,cmd,[]); +CalcbyM(name,cmd,optionorg):=( +//help:CalcbyM("a",cmdL); +//help:CalcbyM(options1= ["m/r","Wait=5","Ext=txt","Dig=6","Pow=no","All=y"]); +//help:CalcbyM(options2= ["line=1000"]); + regional(options,tmp,tmp0,tmp1,tmp2,tmp3,tmp4,realL,strL,eqL,allflg,indL,line, + dig,flg,wflg,file,nc,arg,add,powerd,cmdM,cmdlist,wfile,ext,waiting,num,st); + options=optionorg; + tmp=divoptions(options); + eqL=tmp_5; + realL=tmp_6; + strL=tmp_7; + wfile=""; + ext=".txt"; + waiting=5; + dig=6; + allflg=1; + powerd="false"; + line=1000; // 16.06.13 + forall(eqL, + tmp=indexof(#,"="); + tmp1=Toupper(substring(#,0,1)); + tmp2=substring(#,tmp,length(#)); + if(tmp1=="E", + if(indexof(tmp2,".")==0,ext="."+tmp2,ext=tmp2); + options=remove(options,[#]); + ); + if(tmp1=="W", + waiting=parse(tmp2); + options=remove(options,[#]); + ); + if(tmp1=="D", + dig=parse(tmp2); + options=remove(options,[#]); + ); + if(tmp1=="L", // 16.06.13 + line=parse(tmp2); + options=remove(options,[#]); + ); + if(tmp1=="P", + tmp=Toupper(substring(tmp2,0,1)); + if((tmp=="y") % (tmp=="F"),powerd="true"); + options=remove(options,[#]); + ); + if(tmp1=="A", // 2016.02.23 + tmp=Toupper(substring(tmp2,0,1)); + if((tmp=="N") % (tmp=="F"),allflg=0); + options=remove(options,[#]); + ); + ); + wfile=Fhead+name+ext; + wflg=0; + forall(strL, + tmp=Toupper(substring(#,0,1)); + if(tmp=="M", + wflg=1; + options=remove(options,[#]); + ); + if(tmp=="R", + wflg=-1; + options=remove(options,[#]); + ); + ); + file=Fhead+name; + cmdM=cmd; + cmdlist=[ + "powerdisp:"+powerd,"display2d:false","linel:"+text(line) //15.11.25,16.06.13 + ]; + forall(1..floor(length(cmdM)/2),nc, //17.5.18 + tmp1=replace(cmdM_(2*nc-1),"`","'");//2016.02.23 + tmp1=replace(tmp1,LFmark,""); // 16.06.12 + if(nc==length(cmdM)/2, + tmp=indexof(tmp1,"="); + tmp1=substring(tmp1,tmp,length(tmp1)); + if(substring(tmp1,0,1)=="[", + tmp=substring(tmp1,0,length(tmp1)-1); + , + tmp="["+tmp1; + ); + tmp2=""; + forall(1..length(tmp1), + if(substring(tmp1,#-1,#+1)=="::", + if(substring(tmp2,0,1)==":", tmp2=substring(tmp2,1,length(tmp2))); + cmdlist=append(cmdlist,"disp("+tmp2+")"); + tmp2=""; + , + tmp2=tmp2+substring(tmp1,#-1,#); + ); + ); + if(length(tmp2)>0, + if(substring(tmp2,0,1)==":", tmp2=substring(tmp2,1,length(tmp2))); + cmdlist=append(cmdlist,"disp("+tmp2+")"); + ); + , + tmp2=cmdM_(2*nc); // list of argments + tmp3=""; + tmp4=""; + add=""; + forall(tmp2,arg, + if(isstring(arg), + if(substring(arg,0,1)!=",", +// tmp=replace(arg,"'",Dq); // 16.03.03 + tmp=arg; // 16.03.03 + tmp=replace(tmp,"`","'");// 2016.02.23 + tmp3=tmp3+tmp+","; + , + add=add+arg; + ); + , + if(!islist(arg), + tmp3=tmp3+textformat(arg,dig)+","; + , + tmp3=tmp3+"["; + tmp4="]"; + forall(arg, + if(isstring(#), +// tmp3=tmp3+Dq+#+Dq+","; + tmp=replace(#,"'",Dq); + tmp3=tmp3+tmp+","; + , + if(!islist(#), + tmp3=tmp3+textformat(#,dig)+","; + , + tmp=textformat(#,dig); + tmp=replace(tmp,"],[","];["); + tmp3=tmp3+tmp+","; + ); + ); + ); + tmp3=substring(tmp3,0,length(tmp3)-1)+tmp4+","; + ); + ); + ); + if(length(tmp3)>0, + tmp3=substring(tmp3,0,length(tmp3)-1); + tmp1=tmp1+"("+tmp3+")"+add; + ); + cmdlist=append(cmdlist,tmp1); + ); + ); + cmdlist=append(cmdlist,"closefile()"); + cmdlist=append(cmdlist,"quit()"); + if(wflg==0, + tmp1=load(file+".max"); + if(length(tmp1)==0, + wflg=1; + , + if(indexof(tmp1,"/*##*/")==0, // 15.11.26 + wflg=1; + , + tmp1=tokenize(tmp1,"/*##*/"); + tmp1=tmp1_(1..(length(tmp1)-1)); + tmp=select(tmp1,indexof(#,"writefile")>0); + tmp1=remove(tmp1,tmp); + tmp1=apply(tmp1,substring(#,0,length(#)-1)); + if(length(tmp1)!=length(cmdlist), // 15.12.07 + wflg=1; + , + tmp=select(1..length(tmp1),tmp1_#!=cmdlist_#); + if(length(tmp)>0, wflg=1); + ); + ); + ); + ); + if(wflg==0,wflg=-1); // 15.10.16 + if(wflg==1, + if(length(wfile)>0, // 15.10.05 + SCEOUTPUT=openfile(wfile); + println(SCEOUTPUT,""); + closefile(SCEOUTPUT); + ); + WritetoM(file+".max",cmdlist,allflg); // 2016.02.23 + kcM(file,concat(options,["m"])); + ); + flg=0; + tmp1=floor(waiting*1000/WaitUnit); + repeat(tmp1, + if(flg==0, + tmp1=load(wfile); + if(wflg==1,wait(WaitUnit)); // 2016.02.23 + if(length(tmp1)>0, + tmp=indexof(tmp1,"error")+indexof(tmp1,"syntax"); //2016.02.23 + if(tmp>0, + println("Some error(s) occurred"); //2016.02.24 from + tmp2=tokenize(tmp1,"(%"); + forall(4..length(tmp2),println(tmp2_#)); //2016.02.24 until + flg=2; //2016.02.23 + , + if(indexof(tmp1,"closefile()")>0, // 15.11.24 + tmp=tokenize(tmp1,"disp("); + tmp1=tmp_(2..length(tmp)); + tmp4=[]; + forall(tmp1,tmp2, + tmp=indexof(tmp2,")"); + tmp3=substring(tmp2,tmp,length(tmp2)); + indL=Indexall(tmp3,"(%i"); // 16.04.26from + tmp0=0; + forall(indL, + if(tmp0==0, + tmp=substring(tmp3,#+2,#+3); + if(indexof("0123456789",tmp)>0,//16.04.25? + tmp3=removespace(substring(tmp3,0,#-1)); + tmp4=append(tmp4,tmp3); + tmp0=1; + ); + );// 16.04.26until + ); + ); + num="1234567890+-."; + tmp1="["; + forall(tmp4,st, + tmp=select(1..length(st),indexof(num,substring(st,#-1,#))==0); + if((length(tmp)==0) & (length(st)<4), // 16.05.10 16=>4 + tmp1=tmp1+st+","; + , + tmp1=tmp1+Dq+st+Dq+","; + ); + ); + tmp1=substring(tmp1,0,length(tmp1)-1)+"]"; + tmp1=replace(tmp1,".d+0",""); // 15.11.23 + parse(name+"="+tmp1); + tmp=parse(name); + if(length(tmp)==1, + tmp1=substring(tmp1,1,length(tmp1)-1); + parse(name+"="+tmp1); + ); + flg=1; + tmp2=#*WaitUnit/1000; + ); + ); + , + if(wflg==-1, + flg=-1; + , + wait(WaitUnit); + ); + ); + ); + ); + if(flg<=0, + ErrFlag=1; + if(flg==-1, + println(wfile+" does not exist"); + , + tmp="("+text(waiting)+" s )"; + tmp1=load(wfile); + if(length(tmp1)>0, + println(wfile+" incomplete"+tmp); // 2016.02.24 + , + println(wfile+" not generated "+tmp); + ); + ); + , + if(flg==1, // 2016.02.23 + println(" CalcbyM succeeded "+name+" ("+text(tmp2)+" sec)"); + ); + ); +); + +Mxfun(name,fun,argL):=Mxfun(name,fun,argL,[]); +Mxfun(name,fun,argL,optionorg):=( +//help:Mxfun("ca1","diff",["sin(x)^3","x"],[""]); +//help:Mxfun(options=["Pre=6","Disp=y","Load= :: ","Set=::","Add="]); + regional(nm,options,eqL,precise,disp,pack,set,add,cmdL,tmp,tmp1,tmp2); + nm="mx"+name; + options=optionorg; + tmp=divoptions(options); + precise=6; + disp=1; + pack=[]; + set=[]; + add=""; + eqL=tmp_5; + forall(eqL, + tmp=indexof(#,"="); + tmp1=Toupper(substring(#,0,3)); + tmp2=substring(#,tmp,length(#)); + if(tmp1=="PRE", + precise=parse(tmp2); + options=remove(options,[#]); + ); + if((tmp1=="DIS") % (tmp1=="DSP") , + tmp=Toupper(substring(tmp2,0,1)); + if((tmp=="F") % (tmp=="N"), + disp=0; + ); + options=remove(options,[#]); + ); + if((tmp1=="PAC") % (tmp1=="LOA"), // 16.02.08 + pack=tokenize(tmp2,"::"); + options=remove(options,[#]); + ); + if(tmp1=="SET", + set=tokenize(tmp2,"::"); + options=remove(options,[#]); + ); + if(tmp1=="ADD", + add=","+tmp2; + options=remove(options,[#]); + ); + ); + cmdL=[]; + forall(pack, + cmdL=concat(cmdL,["load",[#]]); + ); + forall(set, + cmdL=concat(cmdL,[#,[]]); + ); + if(length(add)>0, + tmp=append(argL,add); + , + tmp=argL; + ); + cmdL=concat(cmdL,[ + "ans"+":"+fun,tmp, + "ans",[] + ]); + CalcbyM(nm,cmdL,options); + if(ErrFlag==0, + if(disp==1, // 15.11.24 + println(nm+" is : "); + println(parse(nm)); + ); + ); + parse(nm); +); + +Mxtex(nm,ex):=Mxtex(nm,ex,[]); +Mxtex(nm,ex,optionorg):=( +//help:Mxtex("1","sin(x)/x"); +//help:Mxtex(options=["Disp=y"]); + regional(name,cmdL,eqL,options,tx,disp,out,set, + tmp,tmp1,tmp2); // 16.01.25 + name="tx"+nm; + options=optionorg; + tmp=divoptions(options); + eqL=tmp_5; + disp=1; + set=[]; + forall(eqL, + tmp=indexof(#,"="); + tmp1=Toupper(substring(#,0,3)); + tmp2=substring(#,tmp,length(#)); + if((tmp1=="DIS") % (tmp1=="DSP") , + tmp=Toupper(substring(tmp2,0,1)); + if((tmp=="F") % (tmp=="N"), + disp=0; + ); + options=remove(options,[#]); + ); + if(tmp1=="SET", // 16.03.01 + set=tokenize(tmp2,"::"); + options=remove(options,[#]); + ); + if(tmp1=="ORD", // 16.03.01 + tmp="ordergreat("+tmp2+")"; + set=append(set,tmp); + options=remove(options,[#]); + ); + ); + cmdL=[ + "load",[Dq+"mactex-utilities.lisp"+Dq]]; // 16.03.03 + forall(set, // 16.03.01 + cmdL=concat(cmdL,[#,[]]); + ); + cmdL=concat(cmdL,[ + name+":disp(tex("+ex+"))",[], // 16.01.18 + name,[] // 16.01.18 + ]); + CalcbyM(name,cmdL,options); // 16.02.19 + tx=parse(name); + if(islist(tx), // 16.01.10 + out=tx_1; + , + out=tx; + ); + tmp=indexof(out,"$$")+1; + out=substring(out,tmp,length(out)); + tmp=indexof(out,"$$")-1; + out=substring(out,0,tmp); + if(disp==1, // 16.01.10 + println(name+" is:"); + println(out); + ); + tmp=name+"="+Dq+out+Dq; //16.01.10 + parse(tmp); + out; +); + +MxtexL(nm,exlist):=MxtexL(nm,exlist,[]); // 16.05.27 +MxtexL(nm,exlist,options):=( + regional(out,tmp,tmp1); + out=[]; + forall(1..length(exlist), + tmp=Mxtex(nm+"n"+text(#),exlist_#,["Disp=n"]); + out=append(out,Dq+tmp+Dq); + ); + tmp="tx"+nm+"="+out; + parse(tmp); + println("tx"+nm+"is:"); + apply(out,println(#)); + out; +); + +Mxbatch(file):=( +//help:Mxbatch(["matoperation.max"]); + regional(figL,out,path,tmp,tmp1,tmp2); + if(!islist(file),figL=[file],figL=file); + path=replace(Dirlib+"/maximaL/","\","/"); + out=[]; + forall(figL, + if(indexof(#,".")==0,tmp1=#+".max",tmp1=#); + tmp1=Dq+path+tmp1+Dq; + tmp2=["batch",[tmp1]]; + out=concat(out,tmp2); + ); + out; +); + +Mxload(file):=( //17.06.16 +//help:Mxload(["rkfun.lispp"]); + regional(figL,out,path,tmp,tmp1,tmp2); + if(!islist(file),figL=[file],figL=file); + path=replace(Dirlib+"/maximaL/","\","/"); + out=[]; + forall(figL, + if(indexof(#,".")==0,tmp1=#+".lisp",tmp1=#); + tmp1=Dq+path+tmp1+Dq; + tmp2=["load",[tmp1]]; + out=concat(out,tmp2); + ); + out; +); + +Maxima2Cindydata(str):=( //17.10.24 + regional(out,numstr,eL,nn,ne,flg,tmp); + numstr="-0123456789"; + eL=Indexall(str,"e"); + if(length(eL)==0, + out=str; + , + out=substring(str,0,eL_1-1); + forall(1..(length(eL)),nn, + ne=eL_nn; + flg=0; + forall(1..5, + if(flg==0, + tmp=substring(str,ne+#-1,ne+#); + if(indexof(numstr,tmp)==0, + flg=#; + tmp=substring(str,ne,ne+flg-1); + out=out+"*10^("+tmp+")"; + ); + ); + ); + if(nn<length(eL), + out=out+substring(str,ne+flg-1,eL_(nn+1)-1); + , + out=out+substring(str,ne+flg-1,length(str)); + ); + ); + ); + parse(out); +); + +kcV3(fname):=kcV3(Dirwork,fname); +kcV3(path,fname):=( +//help:kcV3(path,"ex.obj"); + regional(tmp,tmp1,tmp2,eqL,strL,filename,flg); + if(indexof(fname,".")==0, + filename=fname+".obj"; + , + filename=fname; + ); + flg=1; + if(flg==1, + tmp1=""; // 15.10.08 from + if(iswindows(), + tmp2=Batparent; + , + tmp2=Shellparent; + ); + tmp=replace(path,"\","/"); + tmp=substring(tmp,length(tmp)-1,length(tmp)); + if(tmp=="/" % tmp=="\", tmp1=path, tmp1=path+"/"); + if(iswindows(), + SCEOUTPUT = openfile("kc.bat"); + println(SCEOUTPUT,"cd "+Dq+Dirwork+Dq); + tmp=Dq+PathV3+Dq+" "+tmp1+filename; + println(SCEOUTPUT,tmp); + println(SCEOUTPUT,"exit"); + closefile(SCEOUTPUT); + println(kc(Dirwork+Batparent,Dirlib,Fnametex));// 16.05.29,06.05 + , + SCEOUTPUT = openfile("kc.sh"); + println(SCEOUTPUT,"#!/bin/sh"); + println(SCEOUTPUT,"cd "+Dq+Dirwork+Dq); + tmp=Dq+PathV3+Dq+" "+tmp1+filename; + println(SCEOUTPUT,tmp); + println(SCEOUTPUT,"exit 0"); + closefile(SCEOUTPUT); + println(kc(Dirwork+Shellparent,Mackc+Dirlib,Fnametex));// 16.05.29,06.05 + ); + wait(WaitUnit); + ); + if(fig==2, + println("Obj file not exist / imperfect"); + ); +); + +Changeobjscale(fname):=( + regional(fout); + fout=replace(fname,".obj",""); + fout=fout+"out.obj"; + Changeobjscale(ULEN,fname,fout,[]); +); +Changeobjscale(fname,Arg):=( + regional(fout); + if(islist(Arg), + fout=replace(fname,".obj",""); + fout=fout+"out.obj"; + Changeobjscale(ULEN,fname,fout,Arg); + , + Changeobjscale(ULEN,fname,Arg,[]); + ); +); +Changeobjscale(Arg1,Arg2,Arg3):=( + if(islist(Arg3), + Changeobjscale(ULEN,Arg1,Arg2,Arg3); + , + Changeobjscale(Arg1,Arg2,Arg3,[]); + ); +); +Changeobjscale(unitlen,fnameorg,foutorg,optionorg):=( +//help:Changeobjscale("20mm",fname,fnameout); +//help:Changeobjscale(options=["Unit=mm",[0,0,0]]); + regional(fname,fout,fmd,unit,val,options,eqL,reL, + origin,outunit,sc,stL,nn,tmp,tmp1,tmp2); + options=optionorg; + tmp=Divoptions(options); + eqL=tmp_5; + reL=tmp_6; + outunit="IN"; + forall(eqL, + tmp=indexof(#,"="); + tmp1=Toupper(substring(#,0,1)); + tmp2=Toupper(substring(#,tmp,length(#))); + if(tmp1=="O" % tmp1=="U", + outunit=tmp2; + options=remove(options,[#]); + ); + ); + options=remove(options,reL); + origin=[0,0,0]; + forall(reL, + if(islist(#),origin=#); + ); + options=remove(options,reL); + tmp1=".0123456789+-*/"; + unit=""; + val=1; + tmp2=0; + forall(reverse(1..length(unitlen)), + tmp=substring(unitlen,#-1,#); + if(tmp2==0, + if(indexof(tmp1,tmp)>0, + tmp2=#; + ); + ); + unit=substring(unitlen,tmp2,length(unitlen)); + unit=removespace(unit); + val=parse(substring(unitlen,0,tmp2)); + ); + sc=1; + if(unit=="cm",sc=1); + if(unit=="mm",sc=0.1); + if(unit=="in",sc=2.54); + sc=sc*val; + if(outunit=="IN",sc=sc/2.54); + if(outunit=="MM",sc=sc*10); + fname=fnameorg; + if(indexof(fname,".")==0,fname=fname+".obj"); + fmd=replace(fname,".obj",".txt"); + fout=foutorg; + if(indexof(fout,".")==0,fout=fout+".obj"); + tmp1=Textformat(origin,4); + tmp1=RSform(tmp1); + cmdL=[ + "Origin="+tmp1,[], + "Sc="+format(sc,6),[], + "Stv=readLines",[Dq+fname+Dq], + "cat('',file="+Dq+fout+Dq+")",[], + "for(nn in Looprange(1,length(Stv))){",[], + " if(substring(Stv[nn],1,2)=='v '){",[], + " Tmp1=paste('c(',substring(Stv[nn],3),')',sep='')",[], + " Tmp1=gsub(' ',',',Tmp1,fixed=TRUE)",[], + " Tmp1=gsub(',,',',',Tmp1,fixed=TRUE)",[], + " Tmp1=gsub('(,','(',Tmp1,fixed=TRUE)",[], + " Tmp=eval(parse(text=Tmp1))",[], + " Tmp=Origin+Sc*(Tmp-Origin)",[], + " Stv[nn]=paste('v ',sprintf('%8.5f %8.5f %8.5f',Tmp[1],Tmp[2],Tmp[3]),sep='')",[], + " }",[], + " cat(Stv[nn],'\n',sep='',file="+Dq+fout+Dq+",append=TRUE)",[], + "}",[] + ]; + options=concat(["Wait=3","Cat=n","File="+fmd],options); // 16.06.26 + CalcbyR("cs",cmdL,options); + println("Scale of "+fname+" changed"); +); + +Mkviewobj(fname,cmdL):=Mkviewobj(Dirwork,fname,cmdL,[]); +Mkviewobj(Arg1,Arg2,Arg3):=( + if(!isstring(OCNAME), //17.04.13from + drawtext(mouse().xy,"Mkobjcmd not defined", + size->24,color->[1,0,0]); + , //17.04.13until + if(islist(Arg2), + Mkviewobj(Dirwork,Arg1,Arg2,Arg3); + , + Mkviewobj(Arg1,Arg2,Arg3,[]); + ); + ); +); +Mkviewobj(pathorg,fnameorg,cmdLorg,optionorg):=( +//help:Mkviewobj(fname,cmdlist); +//help:Mkviewobj(fname,[]); +//help:Mkviewobj(path,fname,cmdlist); +//help:Mkviewobj(options=["M/R","V","Unit=in","Wait=5"]); + regional(path,cmdL,eqL,strL,flg,fname,options,make,view,cmdlist, + vtx,face,unit,tmp,tmp1,tmp2); + path=replace(pathorg,"\","/"); + if(substring(path,length(path)-1,length(path))!="/",path=path+"/"); + fname=fnameorg; + if(indexof(fname,".")==0,fname=fname+".obj"); + cmdL=cmdLorg; + options=optionorg; + tmp=divoptions(options); + eqL=tmp_5; + strL=tmp_7; + make=-1; + view=0; + unit=""; + forall(eqL, + tmp=indexof(#,"="); + tmp1=Toupper(substring(#,0,1)); + tmp2=substring(#,tmp,length(#)); + if(tmp1=="M", + tmp2=Toupper(substring(tmp2,0,1)); + if(tmp2=="N" % tmp2=="F", + make=0; + ); + options=remove(options,[#]); + ); + if(tmp1=="V", + tmp2=Toupper(substring(tmp2,0,1)); + if(tmp2=="N" % tmp2=="F", + view=0; + ); + options=remove(options,[#]); + ); + if(tmp1=="U", // 16.06.30from + unit=tmp2; + options=remove(options,[#]); + ); // 16.06.30until + ); + forall(strL, + tmp=Toupper(substring(#,0,1)); + if(tmp=="M", + make=1; + options=remove(options,[#]); + ); + if(tmp=="R", + make=0; + options=remove(options,[#]); + ); + if(tmp=="V", + view=1; + options=remove(options,[#]); + ); + ); + if(islist(cmdL), + if(length(cmdL)==0, + make=0; + println("Command sequence not defnamed"); + ); + , + make=0; + println("Command sequence not defined"); + ); + if(make==-1, + setdirectory(pathorg); + tmp1=load(fname); + if(length(tmp1)==0,make=1,make=0); + setdirectory(Dirwork); + ); + if(make==1, + if(isstring(cmdL_1), + cmdlist=MkprecommandR(); + cmdlist=concat(cmdlist,["Openobj",[Dq+path+fname+Dq]]); + cmdlist=concat(cmdlist,cmdL); + tmp=["Closeobj()",[],"ans="+Dq+"||||"+Dq,[]];//16.12.26 + cmdlist=concat(cmdlist,tmp); + tmp=append(options,"Cat=y"); + tmp1=apply(tmp,Toupper(substring(#,0,1))); // 16.04.23from + tmp1=select(tmp1,#=="W"); + if(length(tmp1)==0, + tmp=append(tmp,"Wait=5"); + );// 16.04.23until + CalcbyR("ans",cmdlist,tmp); + wait(WaitUnit*100); // 16.03.18 + , + vtx=cmdL_1; + face=cmdL_2; + setdirectory(pathorg); + SCEOUTPUT = openfile(fname); + forall(vtx,tmp1, + tmp2=tmp1; + if(ispoint(tmp1), + tmp2=parse(text(tmp1)+"3d"); + ); + tmp2=apply(tmp2,format(#,5)); + tmp="v "+tmp2_1+" "+tmp2_2+" "+tmp2_3; + println(SCEOUTPUT,tmp); + ); + forall(face,tmp1, + tmp="f"; + forall(tmp1, + tmp=tmp+" "+text(#); + ); + println(SCEOUTPUT,tmp); + ); + closefile(SCEOUTPUT); + setdirectory(Dirwork); + ); + ); + if(length(unit)>0, // 16.06.30from + Changeobjscale(fname,["Unit="+unit]);//16.10.04 + ); // 16.06.30until + if(view==1, + flg=0; // 16.03.14 from + if(isstring(ViewFile), + if(ViewFile==fname,flg=1); + ); + if(flg==0, + kcV3(path,fname); + ViewFile=fname; + ); // 16.03.14 until + ); +); + +SetObj(str):=Objname(str,["m","v"]); //17.01.12 +SetObj(str,options):=Objname(str,options); //17.01.12 +Objnameoptions(str,options):=Objname(str,options);// 16.11.29 +Objname(str):=Objname(str,["m","v"]); // 16.11.29 +Objname(str,optionsorg):=( +//help:Objname("sample"); +//help:Objname(options=["m","v"]); +//help:Setobj("sample"); +//help:Setobj(options=["m","v"]); + regional(options); + if(length(str)>0, + OCNAME=str; + ); + options=select(optionsorg,length(#)>0); //17.12.23from + if(length(options)>0, + OCOPTION=options; + , + OCOPTION=["m","v"]; + ); //17.12.23until + println([OCNAME,OCOPTION]); +); + +Mkobjcmd(nm,fd):=Mkobjcmd(nm,fd,[40,40,"+"]); +Mkobjcmd(nm,fd,options):=( +//help:Mkobjcmd("1",fd,[40,40,"+"]); + regional(ffd,cmd,out,div1,div2,side, + reL,stL,tmp,tmp1,tmp2,tmp3,tmp4); + div1=40; + div2=40; + side="+"; + tmp=Divoptions(options); + reL=tmp_6; + stL=select(tmp_7,length(#)>0); + forall(1..length(reL), + if(#==1, + div1=reL_1; + div2=div1; + , + div2=reL_2; + ); + ); + forall(stL, + side=#; + ); + side="'"+side+"'"; + ffd=Fullformfunc(fd); + tmp=indexof(ffd_5,"="); + tmp1=RSform(substring(ffd_5,0,tmp-1)); + tmp2=RSform(substring(ffd_5,tmp,length(ffd_5))); + tmp=indexof(ffd_6,"="); + tmp3=RSform(substring(ffd_6,0,tmp-1)); + tmp4=RSform(substring(ffd_6,tmp,length(ffd_6))); + out=["Fun"+nm+"<- function("+tmp1+","+tmp3+"){",[]]; + tmp=" Out=c("+ffd_2+","+ffd_3+","+ffd_4+")"; + out=concat(out,[tmp,[]]); + out=concat(out,["}",[]]); + tmp1=["Objsurf", + ["Fun"+nm,tmp2,tmp4,div1,div2,side]]; + out=concat(out,tmp1); + tmp2=[]; // 16.06.10from + forall(out,tmp1, + if(islist(tmp1), + tmp=apply(tmp1,if(isstring(#),Dq+#+Dq,Textformat(#,5))); + , + if(isstring(tmp1),tmp=Dq+tmp1+Dq,tmp=Textformat(#,5)); + ); + tmp2=append(tmp2,tmp); + ); + parse("oc"+nm+"="+tmp2); + println("cmd seq oc"+nm+" generated"); // 16.06.10until + OBJCMD=concat(OBJCMD,out);//16.11.29 + out; +); + +Mkobjnrm(nm,fd):=Mkobjnrm(nm,fd,[]); +Mkobjnrm(nm,fd,optionorg):=( +//help:Mkobjnrm("1",fd1,["Disp=y"]); +//help:Mkobjnrm("1","[x,y,x*y/(x^2+y^2)],x,y"); + regional(name,options,stL,eqL,disp,ffd,fst,xst,yst,cmdL, + precmd,out,tmp,tmp1,tmp2,tmp3); + name="nrm"+nm; + options=select(optionorg,length(#)>0); + tmp=Divoptions(options); + eqL=tmp_5; + stL=tmp_7; + precmd=[]; + disp="N"; + forall(eqL, // 16.05.02 + tmp1=Toupper(substring(#,0,1)); + tmp=indexof(#,"="); + tmp2=Toupper(substring(#,tmp,tmp+1)); + if(tmp1=="D", + if(tmp2=="Y" % tmp2=="T", + disp="Y"; + options=remove(options,[#]); + ); + ); + ); + forall(stL, + if(indexof(#,"+")+indexof(#,"-")==0, + precmd=concat(precmd,[#,[]]); + options=remove(options,[#]); + ); + ); + if(isstring(fd), + tmp=Indexall(fd,","); + fst=[ + substring(fd,1,tmp_1-1), + substring(fd,tmp_1,tmp_2-1), + substring(fd,tmp_2,tmp_3-2) + ]; + xst=substring(fd,tmp_3,tmp_4-1); + yst=substring(fd,tmp_4,length(fd)); + , + ffd=Fullformfunc(fd); + fst=text(ffd_(2..4)); + tmp=indexof(ffd_5,"="); + xst=substring(ffd_5,0,tmp-1); + tmp=indexof(ffd_6,"="); + yst=substring(ffd_6,0,tmp-1); + ); + cmdL=precmd; + cmdL=concat(cmdL,[ + "fx:diff",[fst,xst], + "fy:diff",[fst,yst], + "nx:fx[2]*fy[3]-fx[3]*fy[2]",[], + "ny:fx[3]*fy[1]-fx[1]*fy[3]",[], + "nz:fx[1]*fy[2]-fx[2]*fy[1]",[], + "nn:factor(nx^2+ny^2+nz^2)",[], // 16.04.21 + "nn:sqrt(nn)",[], // 16.04.20 + "nx:nx/nn",[], + "ny:ny/nn",[], + "nz:nz/nn",[], + "n:[nx,ny,nz]",[], // 16.04.21from + "n:ratsimp(n)",[], + "n:trigsimp(n)",[], + "n:factor(n)",[], // 16.04.21until + "n",[] + ]); + CalcbyM(name,cmdL,options); // 16.05.12 + tmp1=parse(name); // 16.05.12 + out=[tmp1]; // 15.04.21b from + tmp2=[]; + forall(1..3, + tmp=indexof(tmp1,","); + if(tmp==0, + tmp=indexof(tmp1,"]"); + ); + tmp3=substring(tmp1,0,tmp-1); + tmp1=substring(tmp1,tmp,length(tmp1)); + tmp=indexof(tmp3,"/"); + if(tmp>0, + tmp3=substring(tmp3,tmp,length(tmp3)); + tmp2=append(tmp2,tmp3); + , + tmp2=append(tmp2,"1"); + ); + ); +// out=append(out,tmp2); + out=out_1; // 16.05.02from + println("calculate "+name+":"); // 16.05.12 + if(disp=="Y", // 16.05.02 + println(out); + // println(out_2); + ); // 16.05.02until + out; +); + +Mkobjthickcmd(nm,fd):=Mkobjthickcmd(nm,fd,"",[40,40,"+"]); +Mkobjthickcmd(nm,fd,Arg):=( + if(islist(Arg), + Mkobjthickcmd(nm,fd,"",Arg); + , + Mkobjthickcmd(nm,fd,Arg,[]); + ); +); +Mkobjthickcmd(nm,fd,fnrm,optionorg):=( +//help:Mkobjthickcmd("1",fd,["assume(R>0)"]); +//help:Mkobjthickcmd("1",fd,fnorm); +//help:Mkobjthickcmd(options1=[40,40,0.05,-0.05,"+n+s+e+w+"]); +//help:Mkobjthickcmd(options2=["ratsimp","trigsimp"]); + regional(options,ffd,cmd,out,div1,div2,thick1,thick2,side, + reL,stL,addcmd,fst,xst,yst,tmp,tmp1,tmp2,tmp3,tmp4); + div1=40; + div2=40; + thick1=0.05; + thick2=-0.05; + side="+n+s+e+w+"; + options=select(optionorg,length(#)>0); + tmp=Divoptions(options); + reL=tmp_6; + stL=tmp_7; + tmp1=1; // 16.04.21from + tmp2=1; + forall(1..length(reL), + tmp=reL_#; + if(tmp>1, + if(tmp1==1, + div1=tmp; + div2=tmp; + , + div2=tmp; + ); + tmp1=tmp1+1; + , + if(tmp2==1, + thick1=tmp; + thick2=-tmp; + , + thick2=tmp; + ); + tmp2=tmp2+1; + ); + ); // 16.04.21until + options=remove(options,reL); + forall(stL, + if(length(#)>0, + tmp=indexof(#,"+")+indexof(#,"-"); + if(tmp>0, + side=#; + options=remove(options,[#]); + ); + ); + ); + side="'"+side+"'"; + ffd=Fullformfunc(fd); + tmp=indexof(ffd_5,"="); + tmp1=substring(ffd_5,0,tmp-1); + tmp2=RSform(substring(ffd_5,tmp,length(ffd_5))); + tmp=indexof(ffd_6,"="); + tmp3=substring(ffd_6,0,tmp-1); + tmp4=RSform(substring(ffd_6,tmp,length(ffd_6))); + fst=text(ffd_(2..4)); + tmp=indexof(ffd_5,"="); + xst=substring(ffd_5,0,tmp-1); + tmp=indexof(ffd_6,"="); + yst=substring(ffd_6,0,tmp-1); + out=["Fun"+nm+"<- function("+tmp1+","+tmp3+"){",[]]; + tmp=" c("+ffd_2+","+ffd_3+","+ffd_4+")"; + out=concat(out,[tmp,[]]); + out=concat(out,["}",[]]); + tmp=["Fnrm"+nm+"<- function("+xst+","+yst+"){",[]]; + out=concat(out,tmp); + if(fnrm=="", + tmp=Mkobjnrm(nm,fd,options); + tmp1=RSform(tmp); + tmp="Fnrmden"+nm+"("+xst+","+yst+"):="+tmp_2; + parse(tmp); + , + tmp1=RSform(fnrm); +// if(indexof(tmp1,"Out=")==0, // 16.05.09from +// tmp1="Out="+tmp1; +// ); // 16.05.09until + ); + out=concat(out,[tmp1,[]]); + out=concat(out,["}",[]]); + tmp1=["Objthicksurf", + ["Fun"+nm,tmp2,tmp4,div1,div2,"Fnrm"+nm,thick1,thick2,side]]; + out=concat(out,tmp1); + tmp2=[]; // 16.06.10from + forall(out,tmp1, + if(islist(tmp1), + tmp=apply(tmp1,if(isstring(#),Dq+#+Dq,Textformat(#,5))); + , + if(isstring(tmp1),tmp=Dq+tmp1+Dq,tmp=Textformat(#,5)); + ); + tmp2=append(tmp2,tmp); + ); + parse("oc"+nm+"="+tmp2); + println("cmd seq oc"+nm+" generated"); // 16.06.10until + OBJCMD=concat(OBJCMD,out);//16.11.29 + out; +); + +Mkobjpolycmd(nm,pd):=Mkobjpolycmd(nm,pd,[]); +Mkobjpolycmd(nm,pd,optionorg):=( +//help:Mkobjpolycmd("1",pd); +//help:Mkobjpolycmd(options1=[internal([0,0,0])]); + regional(options,cmd,out,thick1,thick2,origin, + reL,stL,vtx,face,pt1,pt2,pt3,tmp,tmp1,tmp2); + thick1=0; + thick2=-0; + origin=[0,0,0]; + options=select(optionorg,length(#)>0); + tmp=Divoptions(options); + reL=tmp_6; + stL=tmp_7; + tmp1=1; + forall(1..length(reL), + tmp=reL_#; + if(islist(tmp), + origin=tmp; + , + if(tmp1==1, + thick1=tmp; + thick2=-tmp; + , + thick2=tmp; + ); + tmp1=tmp1+1; // 16.07.08 + ); + ); + options=remove(options,reL); + forall(stL, + tmp=indexof(#,"+")+indexof(#,"-"); + if(tmp>0, + side=#; + options=remove(options,[#]); + ); + ); + vtx=pd_1; //16.04.23from + if(length(pd)==2,face=pd_2,face=pd_3); + if(isstring(vtx),vtx=parse(vtx)); + vtx=apply(vtx,if(isstring(#),parse(#),#)); // 16.06.18 + if(isstring(face),face=parse(face)); + forall(1..length(face), + tmp=face_#; + pt1=vtx_(tmp_1);// 16.06.18 + pt2=vtx_(tmp_2);// 16.06.18 + pt3=vtx_(tmp_(length(tmp)));// 16.06.18 + tmp1=Crossprod(pt2-pt1,pt3-pt1); + tmp2=Dotprod(tmp1,pt1-origin); + if(tmp2<0, + face_#=reverse(face_#); + ); + ); + tmp1=RSform(textformat(vtx,5),2);//17.12.24from + tmp2=RSform(textformat(face,5),2); + out=["Objpolyhedron",[tmp1,tmp2]];//17.12.24until + tmp2=[]; // 16.06.10from + forall(out,tmp1, + if(islist(tmp1), + tmp=apply(tmp1,if(isstring(#),Dq+#+Dq,Textformat(#,5))); + , + if(isstring(tmp1),tmp=Dq+tmp1+Dq,tmp=Textformat(#,5)); + ); + tmp2=append(tmp2,tmp); + ); + parse("oc"+nm+"="+tmp2); + println("cmd seq oc"+nm+" generated"); // 16.06.10until + OBJCMD=concat(OBJCMD,out);//16.11.29 + out; +); + +Mkobjplatecmd(nm,pd):=Mkobjplatecmd(nm,pd,[]); +Mkobjplatecmd(nm,pdorg,optionorg):=( // 16.06.18 +//help:Mkobjplatecmd("1",pd); +//help:Mkobjplatecmd("1",vtxlist); +//help:Mkobjplatecmd(options1=[0.05,-0.05]); + regional(pd,options,cmd,out,thick1,thick2,nn,pdn, + reL,vtx,face,nv,npttmp,tmp1,tmp2,tmp3,tmp4); + pd=pdorg; + if(MeasureDepth(pd)==1,pd=[pd]); + if(MeasureDepth(pd)==2,pd=[pd]);//16.10.04from + forall(1..length(pd),nn, // 16.06.19from + pdn=pd_nn; + vtx=pdn_1; + if(length(pdn)==1,face=[1..(length(vtx))],face=pdn_2); + vtx=apply(vtx,if(isstring(#),parse(#),#)); + vtx=apply(vtx,if(ispoint(#),parse(text(#)+"3d"),#)); + pd_nn=[vtx,face];//16.10.04until + ); // 16.06.19until + thick1=0.05; + thick2=-0.05; + options=select(optionorg,length(#)>0); + tmp=Divoptions(options); + reL=tmp_6; + tmp1=1; + forall(1..length(reL), + tmp=reL_#; + if(tmp1==1, + thick1=tmp; + thick2=-tmp; + , + thick2=tmp; + ); + tmp1=tmp1+1;// 16.07.08 + ); + options=remove(options,reL); + out=[]; + forall(1..length(pd),npd, + forall(pd_npd_2,face, + vtx=apply(face,pd_npd_1_#); + npt=length(vtx); + tmp1=vtx_1; + tmp2=vtx_2; + tmp3=vtx_npt; + tmp=Crossprod(tmp2-tmp1,tmp3-tmp1); + nv=tmp/Dist3d(tmp); + tmp1=apply(vtx,#+thick1*nv); + tmp2=apply(vtx,#+thick2*nv); + vtx=concat(tmp1,tmp2); + tmp=apply(1..npt,#+npt); + tmp2=[1..npt,reverse(tmp)]; + tmp=apply(1..(npt-1),[#,#+npt,#+npt+1,#+1]); + tmp2=concat(tmp2,tmp); + tmp=[npt,npt+npt,1+npt,1]; + tmp2=append(tmp2,tmp); + tmp3=RSform(textformat(vtx,5),2);//17.12.24from + tmp4=RSform(textformat(tmp2,5),2); + out=concat(out,["Objpolyhedron",[tmp3,tmp4]]);//17.12.24until + ); + ); + tmp3="["; // 16.06.10from + forall(out,tmp1, + tmp2=""; + if(isstring(tmp1), + tmp2=tmp2+Dq+tmp1+Dq+",["; + , + tmp2=tmp2+Textformat(tmp1_1,5)+","; + tmp2=tmp2+Textformat(tmp1_2,5)+"],"; + ); + tmp3=tmp3+tmp2; + ); + tmp3=substring(tmp3,0,length(tmp3)-1)+"]"; + parse("oc"+nm+"="+tmp3); + println("cmd seq oc"+nm+" generated"); + OBJCMD=concat(OBJCMD,out);//16.11.29 + out; +); + +Mkobjcrvcmd(nm,pst):=Mkobjcrvcmd(nm,pst,[]); +Mkobjcrvcmd(nm,pstorg,options):=( +//help:Mkobjcrvcmd("1","sc3d1",[0.02,6,"xy"]); + regional(cmd,out,thick,poly,dir,phead,pst, + reL,stL,tmp,tmp1,tmp2,tmp3,tmp4,flg); + thick=0.02; + poly=6; + dir="xy"; + tmp=Divoptions(options); + reL=tmp_6; + stL=select(tmp_7,length(#)>0); + forall(1..length(reL), + if(#==1, + thick=reL_1; + , + poly=reL_2; + ); + ); + forall(stL, + dir=#; + ); + dir="'"+dir+"'"; + tmp=indexof(pstorg,"_"); + if(tmp==0, + phead=pstorg; + , + phead=substring(pstorg,0,tmp-1); + ); + pst=pstorg; + out=[]; + tmp1=select(GLIST,indexof(#,phead+"=")>0); + if(length(tmp1)==0, println(phead+" incorrect")); +// out=[tmp1_1,[]]; + out=[]; + tmp1=parse(pst); + flg=0; // 16.04.23from + if(MeasureDepth(tmp1)==2,flg=1); + if(MeasureDepth(tmp1)==0, + if(islist(tmp1),flg=1); + ); + if(flg==1, // 16.04.23until + if(!isstring(tmp1_1), + forall(1..length(tmp1), + tmp=["Objcurve",[pst+"[["+text(#)+"]]",thick,poly,dir]];//17.12.22 + out=concat(out,tmp); + ); + , + forall(1..length(tmp1), // 16.11.14from + tmp=["Objcurve",[tmp1_#,thick,poly,dir]]; + out=concat(out,tmp); + );// 16.11.14until + ); + , + tmp1=Chunderscore(pst); + tmp=["Objcurve",[tmp1,thick,poly,dir]]; + out=concat(out,tmp); + ); + tmp2=[]; // 16.06.10from + forall(out,tmp1, + if(islist(tmp1), + tmp=apply(tmp1,if(isstring(#),Dq+#+Dq,Textformat(#,5))); + , + if(isstring(tmp1),tmp=Dq+tmp1+Dq,tmp=Textformat(#,5)); + ); + tmp2=append(tmp2,tmp); + ); + parse("oc"+nm+"="+tmp2); + println("cmd seq oc"+nm+" generated"); // 16.06.10until + OBJCMD=concat(OBJCMD,out);//16.11.29 + out; +); + +Mkobjsymbcmd(symb,size,rot,dir,pos):= + Mkobjsymbcmd("",symb,size,rot,dir,pos,[]); +Mkobjsymbcmd(Ar1,Ar2,Ar3,Ar4,Ar5,Ar6):=( + if(isstring(Ar2), + Mkobjsymbcmd(Ar1,Ar2,Ar3,Ar4,Ar5,Ar6,[]); + , + Mkobjsymbcmd("",Ar1,Ar2,Ar3,Ar4,Ar5,Ar6); + ); +); +Mkobjsymbcmd(path,symborg,size,rot,dir,pos,optionorg):=( +//help:Mkobjsymbcmd("x",0.5,0,V3d,A3d); +//help:Mkobjsymbcmd("P",0.5,0,V3d,A3d); +//help:Mkobjsymbcmd(options=[0.05,4,"'yz'"]); + regional(symb,options,opbez,eqL,reL,stL,dtLstr,dtL,dt, + alpha,Alpha,out,mx,Mx,my,My,center,tmp,tmp1,tmp2); + alpha="abcdefghijklmnopqrstuvwxyz"; + Alpha=Toupper(alpha); + symb=symborg; + options=optionorg; + opbez=["nodisp"]; + tmp=Divoptions(options); + eqL=tmp_5; + reL=tmp_6; + stL=tmp_7; + opbez=concat(opbez,eqL); + options=remove(options,eqL); + tmp1=[0.05,4,"'yz'"]; + if(length(reL)==0, + options=concat(options,tmp1_(1..2)); + ); + if(length(reL)==1, // debugged 16.06.18 + options=concat(options,[tmp1_2]); + ); + if(length(stL)==0, + options=concat(options,[tmp1_3]); + ); + out=[]; + tmp=parse(symb); + if((islist(symb)) % (islist(tmp)), //17.12.24from + if(islist(tmp), + dtL=[symb]; + , + dtL=symb; + ); //17.12.24until + , + tmp=substring(symb,0,1); + if(tmp>="a" & tmp<="z",tmp1=tmp+"s"); + if(tmp>="A" & tmp<="Z", + tmp=indexof(Alpha,tmp); + tmp=substring(alpha,tmp-1,tmp); + tmp1=tmp+"c"; + ); + if(length(symb)==1, + if(symb>"Z", + symb=tmp1+"i"; + , + symb=tmp1+"r"; + ); + ); + if(length(symb)==2,symb=tmp1+substring(symb,1,2)); + if(length(path)>0, // 16.04.23from + setdirectory(path); + , + tmp=Dirhead+"/data/fontF"; // 16.05.10 + setdirectory(tmp); + ); // 16.04.23until + dtL=Readbezier(symb,opbez); + dtLstr=dtL; //17.12.23 + setdirectory(Dirwork); + forall(dtL,dt, + tmp=dt+"="; + tmp1=select(GLIST,indexof(#,tmp)>0); + if(length(tmp1)>0,//17.12.23from + tmp1=tmp1_1; + out=concat(out,[tmp1,[]]); + ); //17.12.23until + ); + mx=100;Mx=-100;my=100;My=-100; + forall(dtL,dt, + tmp=apply(parse(dt),#_1); + mx=min(append(tmp,mx)); + Mx=max(append(tmp,Mx)); + tmp=apply(parse(dt),#_2); + my=min(append(tmp,my)); + My=max(append(tmp,My)); + ); + center=[(mx+Mx)/2,(my+My)/2]; + tmp1=[]; + forall(dtL,dt, + Rotatedata(dt,dt,rot,[center,"nodisp"]); + Translatedata(dt,"rt"+dt,-center,["nodisp"]); + tmp1=append(tmp1,"tr"+dt); + ); + dtL=tmp1; + forall(dtL,dt, + tmp=dt+"="; + tmp1=select(GLIST,indexof(#,tmp)>0); + if(length(tmp1)>0, //17.12.23from + tmp1=tmp1_1; + out=concat(out,[tmp1,[]]); + ); //17.12.23until + ); + ); + tmp1=text(options); + tmp1=substring(tmp1,1,length(tmp1)-1); + tmp2=""; //17.12.23from + forall(dtL, + tmp2=tmp2+","+#; + ); + tmp2="list("+substring(tmp2,1,length(tmp2))+")"; //17.12.23until + out=concat(out,[ + "Sd=Symb3data",[tmp2,size,0,dir,pos], //17.12.23 + "Objsymb(Sd,"+tmp1+")",[] + ]); + tmp2=[]; // 16.06.10from + forall(out,tmp1, + if(islist(tmp1), + tmp=apply(tmp1,if(isstring(#),Dq+#+Dq,Textformat(#,5))); + , + if(isstring(tmp1),tmp=Dq+tmp1+Dq,tmp=Textformat(#,5)); + ); + tmp2=append(tmp2,tmp); + ); + parse("oc"+symborg+"="+tmp2); + println("cmd seq oc"+symborg+" generated"); // 16.06.10until + OBJCMD=concat(OBJCMD,out);//16.11.29 + out; +); + +Concatcmd(cmdlist):=( +//help:Concatcmd([cmdL1,cmdL2]); + regional(out); + out=[]; + forall(cmdlist, + out=concat(out,#); + ); + out; +); + +WritetoF(fname,cmdL):=( +// help:WritetoF("outdata",cmdL); + regional(tmp,tmp1,tmp2,filename,wfilename); + if(indexof(fname,".")==0, + filename=fname+".input"; + , + filename=fname; + ); + wfilename=replace(filename,".input",".txt"); + SCEOUTPUT = openfile(filename); + forall(1..(length(cmdL)), + tmp1=cmdL_#; + if(substring(tmp1,0,1)=="[", + tmp1=tmp1+" --##"; + println(SCEOUTPUT,tmp1); + , + println(SCEOUTPUT,tmp1); + println(SCEOUTPUT," --##"); + ); + ); + closefile(SCEOUTPUT); +); + +kcF(fname):=kcF(fname,[]); +kcF(fname,optionorg):=( + regional(options,tmp,tmp1,tmp2,eqL,strL, + filename,wfile,flg); + if(indexof(fname,".")==0, + filename=fname+".input"; + , + filename=fname; + ); + wfile=replace(filename,".input",".sfort"); + options=optionorg; + tmp=Divoptions(options); + eqL=tmp_5; + strL=tmp_7; + forall(eqL, + tmp=indexof(#,"="); + tmp1=substring(#,0,tmp-1); + tmp2=substring(#,tmp,length(#)); + ); + flg=0; + forall(strL, + if(Toupper(substring(#,0,1))=="R", + flg=0; + options=remove(options,[#]); + ); + if(Toupper(substring(#,0,1))=="M", + flg=1; + ); + ); + if(flg==0, + tmp2=replace(filename,".input",".sfort"); + tmp1=load(tmp2); + if(length(tmp1)==0, + flg=1; + ); + ); + if(flg==1, + tmp1=""; + if(iswindows(), + tmp2=Batparent; + , + tmp2=Shellparent; + ); + flg=0; + forall(reverse(1..length(tmp2)), + if(flg==0, + tmp=substring(tmp2,#-1,#); + if(tmp=="/" % tmp=="\", // 14.01.15 + tmp1=substring(tmp2,0,#-1); + tmp2=substring(tmp2,#,length(tmp2)); + flg=1; + ); + ); + ); + if(length(tmp1)>0, + setdirectory(tmp1); + ); + if(iswindows(), +// SCEOUTPUT=openfile(wfile); +// println(SCEOUTPUT,""); +// closefile(SCEOUTPUT); + SCEOUTPUT = openfile("kc.bat"); + tmp=Dq+PathF+"\bash"+Dq+" --login -i -c "+Dq+"/cygdrive/"; + tmp1=replace(Dirwork,"\","/"); + if(indexof(tmp1,":")==0, + tmp=tmp+"c/"+tmp1+"/kc.sh"+Dq; + , + tmp1=replace(tmp1,":",""); + tmp=tmp+tmp1+"/kc.sh"+Dq; + ); + println(SCEOUTPUT,tmp); + println(SCEOUTPUT,"exit 0"); + closefile(SCEOUTPUT); + SCEOUTPUT = openfile("kc.sh"); + Lf=unicode("10",base->10); + print(SCEOUTPUT,"#!/bin/sh"+Lf); + tmp1=replace(Dirwork,"\","/"); + if(indexof(tmp1,":")==0, + tmp="cd "+Dq+"/cygdrive/c/"+tmp1+Dq; + , + tmp1=replace(tmp1,":",""); + tmp="cd "+Dq+"/cygdrive/"+tmp1+Dq; + ); + print(SCEOUTPUT,tmp+Lf); + tmp=Dq+"/opt/fricas/bin/fricas"; + tmp=tmp+Dq+" -nox -eval "; + tmp=tmp+Dq+")read "+filename+Dq; +// tmp=tmp+" > "+Dq+wfile+Dq; + print(SCEOUTPUT,tmp+Lf); + print(SCEOUTPUT,"exit 0"+Lf); + closefile(SCEOUTPUT); + println(kc(Dirwork+Batparent,Dirlib,Fnametex));// 16.05.29,06.05 + , + SCEOUTPUT = openfile("kc.sh"); + println(SCEOUTPUT,"#!/bin/sh"); + println(SCEOUTPUT,"cd "+Dq+Dirwork+Dq); + tmp=Dq+PathF+Dq+" -nox -eval "+Dq+")read "+filename+Dq; +// tmp=tmp+" > "+wfile; + println(SCEOUTPUT,tmp); + println(SCEOUTPUT,"exit 0"); + closefile(SCEOUTPUT); + println(kc(Dirwork+Shellparent,Mackc+Dirlib,Fnametex));// 16.05.29,06.05 + ); + setdirectory(Dirwork); + ); +); + +CalcbyF(name,cmd):=CalcbyM(name,cmd,[]); +CalcbyF(name,cmd,optionorg):=( +//help:CalcbyF("a",cmdL); +//help:CalcbyF(options= ["m/r","Wait=5"]]); + regional(options,tmp,tmp1,tmp2,tmp3,tmp4,strL,eqL, + flg,wflg,file,nc,arg,cmdF,cmdlist,wfile,Alpha, + waiting,num,dig,varlist); + options=optionorg; + tmp=divoptions(options); + eqL=tmp_5; + strL=tmp_7; + waiting=5; + dig=5; + forall(eqL, + tmp=indexof(#,"="); + tmp1=Toupper(substring(#,0,1)); + tmp2=substring(#,tmp,length(#)); + if(tmp1=="W", + waiting=parse(tmp2); + options=remove(options,[#]); + ); + ); + file=Fhead+name+".input"; + wfile=Fhead+name+".sfort"; + wflg=0; + forall(strL, + tmp=Toupper(substring(#,0,1)); + if(tmp=="M", + wflg=1; + options=remove(options,[#]); + ); + if(tmp=="R", + wflg=-1; + options=remove(options,[#]); + ); + ); + cmdF=cmd; + tmp1=")set breakmode quit"; + tmp2=")set output fortran on"; + tmp3=")set fortran precision single"; + cmdlist=[tmp1,tmp2,tmp3]; + tmp=")set output fortran "+wfile; + cmdlist=append(cmdlist,tmp); + forall(1..floor(length(cmdF)/2),nc, //17.5.18 + tmp1=cmdF_(2*nc-1); + tmp1=replace(tmp1,LFmark,""); // 16.06.12 + tmp2=cmdF_(2*nc); // list of argments + if(nc<length(cmdF)/2, + tmp3=""; + forall(tmp2,arg, + if(isstring(arg), + tmp3=tmp3+arg+","; + , + tmp3=tmp3+textformat(arg,dig)+","; + ); + ); + if(length(tmp3)>0, + tmp3=tmp1+ + "("+substring(tmp3,0,length(tmp3)-1)+")"; + , + tmp3=tmp1; + ); + cmdlist=append(cmdlist,tmp3); + , + if(indexof(tmp1,"::")==0, + varlist=[tmp1]; + , + varlist=tokenize(tmp1,"::"); + ); + forall(varlist, + cmdlist=append(cmdlist,"["+#+"]"); + ); + ); + ); + cmdlist=concat(cmdlist,["111111*1",")quit"]); + if(wflg==0, + tmp1=load(file); + if(length(tmp1)==0, + wflg=1; + , + if(indexof(tmp1," --##")==0, // 15.11.26 + wflg=1; + , + tmp1=tokenize(tmp1," --##"); + tmp1=tmp1_(1..(length(tmp1)-1)); + if(length(tmp1)!=length(cmdlist), + wflg=1; + , + tmp=select(1..length(tmp1),tmp1_#!=cmdlist_#); + if(length(tmp)>0, wflg=1); + ); + ); + ); + ); + if(wflg==0,wflg=-1); + if(wflg==1, + if(length(wfile)>0, + SCEOUTPUT=openfile(wfile); + println(SCEOUTPUT,""); + closefile(SCEOUTPUT); + ); + WritetoF(file,cmdlist); + kcF(file,concat(options,["m"])); + ); + Alpha="ABCDEFGHIJKLMNOPQRSTUVWXYZ"; + flg=0; + tmp1=floor(waiting*1000/WaitUnit); + repeat(tmp1, + if(flg==0, + tmp1=load(wfile); + if(wflg==1,wait(WaitUnit)); + tmp=indexof(tmp1,"Error")+indexof(tmp1,"find"); + if(tmp>0, + println("Some error(s) occurred"); + tmp=tokenize(tmp1," --##"); + forall(tmp, + if(indexof(#,"Error")+indexof(#,"find")>0, + println(tmp_(length(tmp))); + ); + ); + flg=2; + ); + if(indexof(tmp1,"111111")>0, + tmp1=replace(tmp1," &",""); + tmp3="["; + forall(1..length(varlist), + tmp=indexof(tmp1,"["+varlist_#+"]"); + tmp1=substring(tmp1,tmp,length(tmp1)); + tmp=indexof(tmp1,"(1)="); + tmp1=substring(tmp1,tmp+3,length(tmp1)); + tmp=indexof(tmp1," "); + tmp3=tmp3+Dq+substring(tmp1,0,tmp-1)+Dq+","; + ); + tmp3=replace(tmp3,"**","^"); + tmp3=replace(tmp3,".0",""); + tmp4=""; + forall(1..length(tmp3), + tmp=substring(tmp3,#-1,#); + tmp1=indexof(Alpha,tmp); + if(tmp1>0, + tmp4=tmp4+unicode(text(tmp1+96),base->10); + , + if(tmp==" " % tmp=="&", + , + tmp4=tmp4+tmp; + ); + ); + ); + tmp=name+"="+substring(tmp4,0,length(tmp4)-1)+"]"; + parse(tmp); + tmp=parse(name); + if(length(tmp)==1, + tmp1=substring(tmp4,1,length(tmp3)-1); + parse(name+"="+tmp1); + ); + flg=1; + tmp2=#*WaitUnit/1000; + , + if(wflg==-1, + flg=-1; + , + wait(WaitUnit); + ); + ); + ); + ); + if(flg<=0, + if(flg==-1, + println(wfile+" does not exist"); + , + tmp="("+text(waiting)+" s )"; + tmp1=load(wfile); + if(length(tmp1)>0, + println(wfile+" incomplete"+tmp); // 2016.02.24 + , + println(wfile+" not generated "+tmp); + ); + ); + , + if(flg==1, + println(" Succeeded "+name+" ("+text(tmp2)+" sec)"); + ); + ); +); + +Frfun(name,fun,argL):=Frifun(name,fun,argL,[]); +Frfun(name,fun,argL,optionorg):=Frifun(name,fun,argL,optionorg); +Frifun(name,fun,argL):=Frifun(name,fun,argL,[]); +Frifun(name,fun,argL,optionorg):=( +//help:Frfun("1","integrate",["sin(x)^3","x"],[""]); +//help:Mxfun(options=["Disp=y"]); + regional(nm,options,eqL,disp,cmdL,tmp,tmp1,tmp2); + nm="fri"+name; + options=optionorg; + tmp=divoptions(options); + disp=1; + eqL=tmp_5; + forall(eqL, + tmp=indexof(#,"="); + tmp1=Toupper(substring(#,0,3)); + tmp2=substring(#,tmp,length(#)); + if((tmp1=="DIS") % (tmp1=="DSP") , + tmp=Toupper(substring(tmp2,0,1)); + if((tmp=="F") % (tmp=="N"), + disp=0; + ); + options=remove(options,[#]); + ); + ); + cmdL=[]; + cmdL=concat(cmdL,[ + "ans"+":="+fun,argL, + "ans",[] + ]); + CalcbyF(nm,cmdL,options); + if(disp==1, // 15.11.24 + println(nm+" is : "); + println(parse(nm)); + ); + parse(nm); +); + +Mkketcindyjs():=Mkketcindyjs("ketcindylib"); +Mkketcindyjs(Arg):=( + if(isstring(Arg), + Mkketcindyjs(Arg,[]) + , + Mkketcindyjs("ketcindylib",Arg) + ); +); +Mkketcindyjs(libname,options):=( //17.11.18 +//help:Mkketcindyjs(); +//help:Mkketcindyjs(options="Tex=y","Net=y"]); + regional(texflg,netflg,tmp,tmp1,tmp2); + texflg="Y"; + netflg="Y"; + forall(options, + tmp1=Toupper(#); + if(indexof(tmp1,"TEX")>0, + tmp=indexof(tmp1,"="); + texflg=Toupper(substring(tmp1,tmp,tmp+1)); + ); + if(indexof(tmp1,"NET")>0, + tmp=indexof(tmp1,"="); + netflg=Toupper(substring(tmp1,tmp,tmp+1)); + ); + ); + if(isexists(Dirwork,Fhead+".html"), + SCEOUTPUT = openfile(Fhead+".r"); + println(SCEOUTPUT,"Looprange<- function(a,b){"); + println(SCEOUTPUT," if (a<=b) return(a:b)"); + println(SCEOUTPUT," return(c())"); + println(SCEOUTPUT,"}"); + println(SCEOUTPUT,"setwd('"+Dirfile+"/CindyJS')"); + println(SCEOUTPUT,"Dtket=readLines('"+libname+".txt')"); + println(SCEOUTPUT,"setwd('"+Dirwork+"')"); + println(SCEOUTPUT,"Dtjs=readLines('"+Fhead+".html')"); + println(SCEOUTPUT,"Qt=rawToChar(as.raw(34))"); + println(SCEOUTPUT, + "Dtinit=c(paste('<script id=',Qt,'csinit',Qt,' type=',Qt,'text/x-cindyscript',Qt,'>',sep=''))"); + println(SCEOUTPUT,"Dtinit=c(Dtinit,Dtket,'</script>')"); + println(SCEOUTPUT,"Dthead=c()"); + println(SCEOUTPUT,"for(I in Looprange(1,length(Dtjs))){"); + println(SCEOUTPUT," if(length(grep('<script id=',Dtjs[I],fixed=TRUE))==0){"); + println(SCEOUTPUT," Tmp=Dtjs[I]"); + if(netflg=="N", + println(SCEOUTPUT, + " if(length(grep('link rel=',Tmp,fixed=TRUE))>0){"); + println(SCEOUTPUT, + " Tmp1='file:///"+Dirfile+"/CindyJS/CindyJS.css'"); + println(SCEOUTPUT, + " Tmp=paste(' <link rel=',Qt,'stylesheet',Qt,' href=',Qt,Tmp1,Qt,'>',sep='')"); + println(SCEOUTPUT, + " }"); + println(SCEOUTPUT, + " Tmp1=length(grep('script type=',Tmp,fixed=TRUE))"); + println(SCEOUTPUT, + " Tmp1=Tmp1*length(grep('Cindy.js',Tmp,fixed=TRUE))"); + println(SCEOUTPUT, + " if(Tmp1>0){"); + println(SCEOUTPUT, + " Tmp1='file:///"+Dirfile+"/CindyJS/Cindy.js'"); + println(SCEOUTPUT, + " Tmp=paste(' <script type=',Qt,'text/javascript',Qt,' src=',Qt,Tmp1,Qt,'>',sep='')"); + println(SCEOUTPUT, + " Tmp=paste(Tmp,'</script>',sep='')"); + println(SCEOUTPUT, + " }"); + ); + println(SCEOUTPUT, + " Dthead=c(Dthead,Tmp)"); + println(SCEOUTPUT, + " }else{"); + println(SCEOUTPUT, + " Is=I; break"); + println(SCEOUTPUT, + " }"); + println(SCEOUTPUT, + "}"); + println(SCEOUTPUT,"Dt=c()"); + println(SCEOUTPUT,"for(I in Looprange(Is,length(Dtjs))){"); + println(SCEOUTPUT," Dt=c(Dt,Dtjs[I])"); + println(SCEOUTPUT," if(length(grep('</script>',Dtjs[I],fixed=TRUE))>0){"); + println(SCEOUTPUT," if(length(grep('draw',Dt[1],fixed=TRUE))>0){Dtdraw=Dt}"); + println(SCEOUTPUT," if(length(grep('keytyped',Dt[1],fixed=TRUE))>0){Dtkey=Dt}"); + println(SCEOUTPUT," Dt=c()"); + println(SCEOUTPUT," if(length(grep('<script id=',Dtjs[I+1],fixed=TRUE))==0){"); + println(SCEOUTPUT," Ie=I+1;break"); + println(SCEOUTPUT," }"); + println(SCEOUTPUT," }"); + println(SCEOUTPUT,"}"); + println(SCEOUTPUT,"Dt=c(Dthead,Dtdraw,Dtkey,Dtinit)"); + println(SCEOUTPUT,"for(I in Looprange(Ie,length(Dtjs))){"); + println(SCEOUTPUT, + " if(length(grep('Button',Dtjs[I],fixed=TRUE))>0){"); + println(SCEOUTPUT, + " if(length(grep(paste(Qt,'Figure',sep=''),Dtjs[I],fixed=TRUE))>0){next}"); + println(SCEOUTPUT, + " if(length(grep(paste(Qt,'Exekc',sep=''),Dtjs[I],fixed=TRUE))>0){next}"); + println(SCEOUTPUT, + " if(length(grep(paste(Qt,'Parent',sep=''),Dtjs[I],fixed=TRUE))>0){next}"); + println(SCEOUTPUT, + " if(length(grep(paste(Qt,'KeTJS',sep=''),Dtjs[I],fixed=TRUE))>0){next}"); + println(SCEOUTPUT, + " }"); + println(SCEOUTPUT," Dt=c(Dt,Dtjs[I])"); + if(texflg=="Y", + println(SCEOUTPUT, + " if(length(grep(paste(Qt,'cs*',Qt,sep=''),Dtjs[I],fixed=TRUE))>0){"); + println(SCEOUTPUT, + " Dt=c(Dt,paste(' use: [',Qt,'katex',Qt,'],',sep=''))"); + println(SCEOUTPUT, + " }"); + ); + println(SCEOUTPUT,"}"); + println(SCEOUTPUT,"writeLines(Dt,'"+Fhead+"ketcindy.html',sep='\n')"); + println(SCEOUTPUT,"quit()"); + closefile(SCEOUTPUT); + kcR(PathR,Fhead+".r",["m"]); + , + drawtext(mouse().xy-[0,1],"First export to CindyJS",size->24,color->[1,0,0]); + wait(3000); + ); +); + +///////////////// C function ////////////////// + +Cform(strorg):=( +//help:Cform(str) + regional(str,ter,out,hat,ns,ne,nn,jj,flg, + lv,str1,str2,tmp,tmp1,tmp2); + ter=["+","-","*","/","(",")"]; + str=replace(strorg,"pi","M_PI"); + hat=Indexall(str,"^"); + out=""; + ns=0; + forall(hat,nn, + tmp=substring(str,nn-2,nn-1); + if(tmp==")", + tmp1=substring(str,ns,nn-1); + tmp2=Parlevel(tmp1); + tmp=tmp2_(length(tmp2))_2; + lv=select(tmp2,#_2==-tmp); + tmp=lv_1_1; + out=out+substring(str,ns,ns+tmp-1); + str1=substring(str,ns+tmp,nn-2); + , + flg=0; + tmp2=reverse(ns..(nn-1)); + forall(tmp2,jj, + if(flg==0, + tmp1=substring(str,jj-1,jj); + if(contains(ter,tmp1), + tmp=jj; + flg=1; + ); + ); + ); + tmp1=substring(str,ns,tmp); + out=out+tmp1; + str1=substring(str,tmp,nn-1); + ); + tmp=substring(str,nn,nn+1); + if(tmp=="(", + tmp1=substring(str,nn,length(str)); + tmp2=Parlevel(tmp1); + lv=select(tmp2,#_2==-1); + tmp=lv_1_1; + str2=substring(tmp1,1,tmp-1); + ns=nn+tmp; + , + flg=0;tmp=0; + forall(nn..(length(str)),jj, + if(flg==0, + tmp1=substring(str,jj,jj+1); + if((length(tmp1)==0)%(contains(ter,tmp1)), + tmp=jj; + flg=1; + ); + ); + ); + str2=substring(str,nn,tmp); + ns=nn+1; + ); + out=out+"pow("+str1+","+str2+")"; + ); + str=out+substring(str,ns,length(str)); + str=str+"#"; + ter=apply(0..9,text(#)); + ter=append(ter,"."); + out=""; + tmp=substring(str,0,1); + if(contains(ter,tmp), + flg=1;out="";tmp1=tmp; + , + flg=0;out=tmp;tmp1=""; + ); + forall(2..(length(str)), + tmp=substring(str,#-1,#); + if(contains(ter,tmp), + if(flg==1, + tmp1=tmp1+tmp; + , + tmp1=tmp; + ); + flg=1; + , + if(flg==1, + if(indexof(tmp1,".")==0, + tmp1=tmp1+".0"; + ); + out=out+tmp1+tmp; + , + out=out+tmp; + ); + tmp1="";flg=0; + ); + ); + out=substring(out,0,length(out)-1); + out; +); + +ConvertFdtoC(Fd):=ConvertFdtoC(Fd,["x","y","z"]); +ConvertFdtoC(Fd,name):=( +//help:ConvertFd(Fd); + regional(FdL,FdC,uvar,vvar,tmp,tmp1); + FdL=Fullformfunc(Fd); + tmp=indexof(FdL_5,"="); //180303from + uvar=substring(FdL_5,0,tmp-1); + tmp=indexof(FdL_6,"="); + vvar=substring(FdL_6,0,tmp-1); + tmp1=apply(2..6,Assign(FdL_#,uvar,"u")); + tmp1=apply(tmp1,Assign(#,vvar,"v")); + tmp1=concat(tmp1,FdL_(7..8)); + FdC=apply(1..3,name_#+"="+Cform(tmp1_#)); + FdC=concat(FdC,[Cform(tmp1_4),Cform(tmp1_5)]); + FdC=concat(FdC,[tmp1_6]); +); + +ConstC(setlist):=( //180323 + regional(divL,sizeL,epsL); + //Mdv=50; Ndv=50; + //DsizeLL=5000; DsizeL=1500; DsizeM=500; DsizeS=200; + //Eps=0.00001; Eps1=0.01; Eps2=0.1; + forall(setlist, + if((#_1>1)&(#_1<=200), + divL=#; + if(length(divL)==0,divL=[50]); + if(length(divL)==1,divL=append(divL,divL_1)); + , + if(#_1>=100, + sizeL=#; + if(length(sizeL)==0,sizeL=[5000]); + if(length(sizeL)==1,sizeL=append(sizeL,1500)); + if(length(sizeL)==2,sizeL=append(sizeL,500)); + if(length(sizeL)==3,sizeL=append(sizeL,200)); + , + epsL=#; + if(length(epsL)==0,epsL=[0.01]); + if(length(epsL)==1,epsL=append(epsL,0.1)); + epsL=prepend(0.00001,epsL); + ); + ); + ); + ConstantListC=[divL,sizeL,epsL]; +); + +Cheader():=Cheader(FdC,FheadC+"header.h"); +Cheader(fdc,fname):=( + regional(tmp,tmp1,tmp2,j, dW,dE,dS,dN,dstr, + DsizeLL,DsizeL,DsizeM,DsizeS,Eps,Eps1,Eps2,Eps3); + Mdv=50; Ndv=50; + DsizeLL=15000; DsizeL=1500; DsizeM=500; DsizeS=200; + Eps=0.00001; Eps1=0.05; Eps2=0.2; Eps3=1; + SCEOUTPUT = openfile(fname); + tmp=indexof(fdc_2,"="); + tmp1=substring(fdc_2,tmp,length(fdc_2)); + tmp1=replace(tmp1,"[","{"); + tmp1=replace(tmp1,"]","}"); + tmp=indexof(fdc_3,"="); + tmp2=substring(fdc_3,tmp,length(fdc_3)); + tmp2=replace(tmp2,"[","{"); + tmp2=replace(tmp2,"]","}"); + tmp="const double Urng[2]="+tmp1+", Vrng[2]="+tmp2; + println(SCEOUTPUT,tmp+";"); + tmp="const double XMIN="+Sprintf(XMIN,6); + tmp=tmp+",XMAX="+Sprintf(XMAX,6); + println(SCEOUTPUT,tmp+";"); + tmp="const double THETA="+Sprintf(THETA,6); + tmp=tmp+",PHI="+Sprintf(PHI,6); + println(SCEOUTPUT,tmp+";"); + tmp=" //THETA:"+Sprintf(THETA*180/pi,2); + tmp=tmp+", PHI:"+Sprintf(PHI*180/pi,2); + println(SCEOUTPUT,tmp+";"); + dstr=fdc_4; + if(indexof(dstr,"w")>0,dW=1,dW=0); + if(indexof(dstr,"e")>0,dE=1,dE=0); + if(indexof(dstr,"s")>0,dS=1,dS=0); + if(indexof(dstr,"n")>0,dN=1,dN=0); + tmp="const int DrawW="+text(dW)+", DrawE="+text(dE); + tmp=tmp+", DrawS="+text(dS)+", DrawN="+text(dN); + println(SCEOUTPUT,tmp+";"); + forall(j=5..(length(fdc)), + tmp=fdc_#; //17.05.21from + if(length(tmp)==2, + if(tmp_1>1, //17.05.24from + Mdv=tmp_1; Ndv=tmp_2; + , + if(length(tmp_1)>0, Eps1=tmp_1); + if(length(tmp_1)>0, Eps2=tmp_2); + ); //17.05.24until + ); + if(length(tmp)==3, + if(length(tmp_1)>0, DsizeLL=tmp_1);//17.06.09(3lines) + if(length(tmp_2)>0, DsizeL=tmp_2); + if(length(tmp_3)>0, DsizeM=tmp_3); + ); + if(length(tmp)==4, + if(min(tmp)<1, + if(length(tmp_1)>0, Eps=tmp_1); + if(length(tmp_2)>0, Eps1=tmp_2); + if(length(tmp_3)>0, Eps2=tmp_3); + if(length(tmp_4)>0, Eps3=tmp_4); + , + if(length(tmp_1)>0, DsizeLL=tmp_1); + if(length(tmp_2)>0, DsizeL=tmp_2); + if(length(tmp_3)>0, DsizeM=tmp_3); + if(length(tmp_4)>0, DsizeS=tmp_4); + ) + );//17.05.21until + ); + tmp1=text(fdc_5_1); + tmp2=text(fdc_5_2); + tmp="const int Mdv="+text(Mdv)+", Ndv="+text(Ndv); + println(SCEOUTPUT,tmp+";"); + tmp="#define DsizeLL "+text(DsizeLL);//17.05.21 + println(SCEOUTPUT,tmp); + tmp="#define DsizeL "+text(DsizeL); + println(SCEOUTPUT,tmp); + tmp="#define DsizeM "+text(DsizeM); + println(SCEOUTPUT,tmp); + tmp="#define DsizeS "+text(DsizeS); + println(SCEOUTPUT,tmp); + tmp="const double Eps="+format(Eps,7); + tmp=tmp+", Eps1="+format(Eps1,7); + tmp=tmp+", Eps2="+format(Eps2,7); + tmp=tmp+", Eps3= "+format(Eps3,7); + println(SCEOUTPUT,tmp+";"); + tmp="void surffun(double u, double v, double pt[3]){"; + println(SCEOUTPUT,tmp); + forall(fdc_1, + tmp1=replace(#,"x=","pt[0]="); + tmp1=replace(tmp1,"y=","pt[1]="); + tmp1=replace(tmp1,"z=","pt[2]="); + println(SCEOUTPUT," "+tmp1+";"); + ); + println(SCEOUTPUT,"}"); + closefile(SCEOUTPUT); +); + +Cmain():=Cmain(FheadC+".c",MainC); +Cmain(fname,cmdLorg):=( +//help:MainC(writesfbd("sfbd");) +//help:MainC(writeax("ax");) +//help:MainC(writewire("wire" (,2), [10,10]);) +//help:MainC(writewire("wire", [[0.5,1],[0,1,2]]]);) +//help:MainC(writecut("sfcut","x+y+2*z-4");) +//help:MainC(writesc("sl3d1");) +//help:MainC(skeleton("sk",[objlist],[pltlist] (,width));) +//help:MainC(writewire ptincrease (=2) are optional);) + regional(cmdL, tmp,tmp1,tmp2,tmp3,tmp4,nL, nn,kk,jj, num, en,cmd, + ax1,ax2,ax3,path, var,varh,file,fileh, flg, cutctr); + path=Dirwork+"/"; //17.05.29from + path=replace(path,"\","/"); + cmdL=cmdLorg;// 17.05.26from + nL=select(1..(length(cmdL)),cmdL_#=="writeax"); + cmd=[]; + if(length(nL)>0,tmp3=cmdL_(1..(nL_1-1)),tmp3=[]); + forall(1..(length(nL)), + tmp2=cmdL_(nL_#+1); + if(length(tmp2)==1,tmp2=append(tmp2,"Surf")); + tmp=tmp2_1; // 17.06.08(5lines) + if(substring(tmp,length(tmp)-2,length(tmp))!="3d", + tmp=tmp+"3d"; + ); + tmp1=parse(tmp); + tmp="axx="+textformat(tmp1_1,5); + parse(tmp); + tmp="axy="+textformat(tmp1_2,5); + parse(tmp); + tmp="axz="+textformat(tmp1_3,5); + parse(tmp); + tmp3=concat(tmp3,[ + "double "+tmp2_1+"[DsizeL][3];",[], //17.06.07(2lines) + "double axx[3][3], axy[3][3], axz[3][3];",[], + "spaceline",["axx"], + "spaceline",["axy"], + "spaceline",["axz"], + tmp2_1+"[0][0]=0;",[], + "appendd3(2,1,2,axx,"+tmp2_1+");",[], + "appendd3(2,1,2,axy,"+tmp2_1+");",[], + "appendd3(2,1,2,axz,"+tmp2_1+");",[], + "writecrv",[tmp2_1,tmp2_2] //17.06.07 + ]); + cmd=concat(cmd,tmp3); + if(#<length(nL), + tmp3=cmdL_((nL_#+2)..(nL_(#+1)-1)); + , + tmp3=cmdL_((nL_#+2)..(length(cmdL))); + cmdL=concat(cmd,tmp3); + ); + ); + nL=select(1..(length(cmdL)),cmdL_#=="writesc"); + cmd=[]; + if(length(nL)>0,tmp3=cmdL_(1..(nL_1-1)),tmp3=[]); + forall(1..(length(nL)), + tmp2=cmdL_(nL_#+1); + if(length(tmp2)==1, + tmp2=[tmp2_1,"Surf"]; + ); + tmp3=concat(tmp3,[ + "double "+tmp2_1+"[DsizeL][3];",[], //17.06.07(2lines) + "double "+tmp2_1+"h[DsizeL][3];",[], + "spaceline",[tmp2_1], + "writecrv",[tmp2_1,tmp2_2] //17.06.07 + ]); + cmd=concat(cmd,tmp3); + if(#<length(nL), + tmp3=cmdL_((nL_#+2)..(nL_(#+1)-1)); + , + tmp3=cmdL_((nL_#+2)..(length(cmdL))); + cmdL=concat(cmd,tmp3); + ); + ); + nL=select(1..(length(cmdL)),cmdL_#=="writesfbd"); + cmd=[]; + if(length(nL)>0,tmp3=cmdL_(1..(nL_1-1)),tmp3=[]); + forall(1..(length(nL)), + tmp2=cmdL_(nL_#+1); + if(length(tmp2)==1,tmp2=append(tmp2,"Surf")); + var=Dq+tmp2_1+"3d"+Dq; + varh=Dq+tmp2_1+"h3d"+Dq; + file=Dq+path+FheadC+tmp2_1+".txt"+Dq; + fileh=Dq+path+FheadC+tmp2_1+"h.txt"+Dq; + tmp="Borderhiddendata"; + tmp3=concat(tmp3,[ + "double "+tmp2_1+"[DsizeL][3];",[], //17.06.09(6lines) + "sfbdparadata",[tmp2_1], + "output3h",[var, varh,file,tmp2_1], + "dataindexd3",[3,tmp2_1,"din"], + tmp2_2+"[0][0]=0;",[], + "appendd3",[2,"din[1][0]","din[1][1]",tmp2_1,tmp2_2] + ]); + cmd=concat(cmd,tmp3); + if(#<length(nL), + tmp3=cmdL_((nL_#+2)..(nL_(#+1)-1)); + , + tmp3=cmdL_((nL_#+2)..(length(cmdL))); + cmdL=concat(cmd,tmp3); + ); + ); + nL=select(1..(length(cmdL)),cmdL_#=="writecrv"); + cmd=[]; + if(length(nL)>0,tmp3=cmdL_(1..(nL_1-1)),tmp3=[]); + forall(1..(length(nL)), + tmp2=cmdL_(nL_#+1); + if(length(tmp2)==1,tmp2=append(tmp2,"Surf")); + var=Dq+tmp2_1+"3d"+Dq; + varh=Dq+tmp2_1+"h3d"+Dq; + file=Dq+path+FheadC+tmp2_1+".txt"+Dq; + tmp3=concat(tmp3,[ + "crvsfparadata",[tmp2_1,tmp2_2,1,"Crvdata"], + tmp2_1+"[0][0]=0;",[], //17.06.09(3lines) + "appendd3",[0,1,"length3(Crvdata)","Crvdata",tmp2_1], + "output3h",[var, varh, file,tmp2_1] + ]); + cmd=concat(cmd,tmp3); + if(#<length(nL), + tmp3=cmdL_((nL_#+2)..(nL_(#+1)-1)); + , + tmp3=cmdL_((nL_#+2)..(length(cmdL))); + cmdL=concat(cmd,tmp3); + ); + ); + nL=select(1..(length(cmdL)),cmdL_#=="writescrvonsf"); + cmd=[]; + if(length(nL)>0,tmp3=cmdL_(1..(nL_1-1)),tmp3=[]); + forall(1..(length(nL)), + tmp2=cmdL_(nL_#+1); + if(length(tmp2)==1,tmp2=append(tmp2,"Surf")); + var=Dq+tmp2_1+"3d"+Dq; + varh=Dq+tmp2_1+"h3d"+Dq; //17.06.09(8lines) + file=Dq+path+FheadC+tmp2_1+".txt"+Dq; + tmp3=concat(tmp3,[ + "double "+tmp2_1+"[DsizeL][3];",[], + " crv3onsfparadata",[tmp2_1,tmp2_2,1,"Crvdata"], + tmp2_1+"[0][0]=0;",[], + "appendd3",[0,1,"length3(Crvdata)","Crvdata",tmp2_1], + "output3h",[var,varh, file ,tmp2_1] + ]); + cmd=concat(cmd,tmp3); + if(#<length(nL), + tmp3=cmdL_((nL_#+2)..(nL_(#+1)-1)); + , + tmp3=cmdL_((nL_#+2)..(length(cmdL))); + cmdL=concat(cmd,tmp3); + ); + ); + nL=select(1..(length(cmdL)),cmdL_#=="writecut"); + cmd=[]; + if(length(nL)>0,tmp3=cmdL_(1..(nL_1-1)),tmp3=[]); + cutctr=0; + forall(1..(length(nL)), + cutctr=#; + tmp2=cmdL_(nL_#+1); + if(length(tmp2)==2, + tmp2=[tmp2_1,"Surf",tmp2_2]; + ); + var=Dq+tmp2_1+"3d"+Dq; + varh=Dq+tmp2_1+"h3d"+Dq; //17.06.09(10lines) + file=Dq+path+FheadC+tmp2_1+".txt"+Dq; + tmp3=concat(tmp3,[ + "cutfun",[tmp2_3], + "double "+tmp2_1+"[DsizeL][3];",[], + "sfcutdata",[text(cutctr),"out"], //17.06.02 + "crv3onsfparadata",["out",tmp2_2,"Crvdata"], + tmp2_1+"[0][0]=0;",[], + "appendd3",[0,1,"length3(Crvdata)","Crvdata",tmp2_1], + "output3h",[var, varh, file, tmp2_1] + ]); + cmd=concat(cmd,tmp3); + if(#<length(nL), + tmp3=cmdL_((nL_#+2)..(nL_(#+1)-1)); + , + tmp3=cmdL_((nL_#+2)..(length(cmdL))); + cmdL=concat(cmd,tmp3); + ); + ); + nL=select(1..(length(cmdL)),cmdL_#=="writewire"); + cmd=[]; + if(length(nL)>0,tmp3=cmdL_(1..(nL_1-1)),tmp3=[]); + forall(1..(length(nL)), + tmp2=cmdL_(nL_#+1); + if(!isstring(tmp2_2), + tmp2=[tmp2_1,"Surf",tmp2_2,tmp2_3]; + ); + var=Dq+tmp2_1+"3d"+Dq; + varh=Dq+tmp2_1+"h3d"+Dq; //17.06.09 + file=Dq+path+FheadC+tmp2_1+".txt"+Dq; + tmp4=tmp2_(length(tmp2)); num=2; + if(!islist(tmp4), + num=tmp4; tmp4=tmp2_(length(tmp2)-1); + ); + if(!islist(tmp4_1), + tmp3=concat(tmp3,[ + "double udv[2]={-1,"+text(tmp4_1)+"};",[] + ]); + , + len=length(tmp4_1); + tmp="double udv["+text(len+1)+"]={"+text(len)+","; + forall(tmp4_1, + tmp=tmp+format(#,5)+","; + ); + tmp=substring(tmp,0,length(tmp)-1)+"};"; + tmp3=concat(tmp3,[tmp,[]]); + ); + if(!islist(tmp4_2), + tmp3=concat(tmp3,[ + "double vdv[2]={-1,"+text(tmp4_2)+"};",[] + ]); + , + len=length(tmp4_2); + tmp="double vdv["+text(len+1)+"]={"+text(len)+","; + forall(tmp4_2, + tmp=tmp+format(#,5)+","; + ); + tmp=substring(tmp,0,length(tmp)-1)+"};"; + tmp3=concat(tmp3,[tmp,[]]); + ); + tmp3=concat(tmp3,[ + "double "+tmp2_1+"[DsizeLL][3];",[], //17.06.09(5lines) + "wireparadata",["Surf", "udv","vdv", num, "Wiredata"], + tmp2_1+"[0][0]=0;",[], + "appendd3",[0,1,"length3(Wiredata)","Wiredata",tmp2_1], + "output3h",[var, varh, file, tmp2_1] + ]); + cmd=concat(cmd,tmp3); + if(#<length(nL), + tmp3=cmdL_((nL_#+2)..(tmp_(#+1)-1)); + , + tmp3=cmdL_((nL_#+2)..(length(cmdL))); + cmdL=concat(cmd,tmp3); + ); + );// 17.05.29until + nL=select(1..(length(cmdL)),cmdL_#=="skeleton");// 17.06.05from + cmd=[]; + if(length(nL)>0, + tmp3=cmdL_(1..(nL_1-1)); + tmp3=concat(tmp3,["double sk[DsizeLL][3];",[]]);//17.06.13 + , + tmp3=[]; + ); + forall(1..(length(nL)),nn, + tmp2=cmdL_(nL_nn+1); + var=Dq+tmp2_1+"3d"+Dq; + file=Dq+path+FheadC+tmp2_1+".txt"+Dq; + tmp3=concat(tmp3,[ //17.06.08from + "data[0][0]=0;",[] + ]); + forall(tmp2_2, + if(substring(#,length(#)-1,length(#))!="h", + tmp1=#; + tmp=[0,"din[1][0]","din[1][1]",tmp1,"data"]; + , + tmp1=substring(#,0,length(#)-1); + tmp=[0,"din[2][0]","din[2][1]",tmp1,"data"]; + ); + tmp3=concat(tmp3,[ + "dataindexd3",[3,tmp1,"din"], + "appendd3",tmp + ]); + ); + forall(1..(length(tmp2_3)), + if(substring(tmp2_3_#,length(tmp2_3_#)-1,length(tmp2_3_#))!="h", + tmp1=tmp2_3_#; + tmp=[0,"din[1][0]","din[1][1]",tmp1,"data"]; + , + tmp1=substring(tmp2_3_#,0,length(tmp2_3_#)-1); + tmp=[0,"din[2][0]","din[2][1]",tmp1,"data"]; + ); + tmp3=concat(tmp3,[ + "push3",["Inf",3,0,"data"], + "dataindexd3",[3,tmp1,"din"], + "appendd3",tmp + ]); + ); + if(length(tmp2)<=3,tmp=1,tmp=tmp2_4); + tmp3=concat(tmp3,[ + "skeletondata3",["data", tmp, "Eps1","Eps2","sk"],//17.06.13 + "output3",[var, file, 2, "sk"] + ]); + cmd=concat(cmd,tmp3); + if(nn<length(nL), + tmp3=cmdL_((nL_nn+2)..(nL_(nn+1)-1)); + , + tmp3=cmdL_((nL_nn+2)..(length(cmdL))); + cmdL=concat(cmd,tmp3); + );//17.06.08until + );// 17.06.05until + path=DirlibC+"/"; + path=replace(path,"\","/"); + cmd=[ + "#include <stdio.h>", "#include <math.h>", + "#include "+Dq+FheadC+"header.h"+Dq, + "#include "+Dq+path+"ketcommon.h"+Dq, + "#include "+Dq+path+"surflibhead.h"+Dq, + "#include "+Dq+path+"surflib.h"+Dq, + "int main(void){", + " double out[DsizeL][3], data[DsizeLL][3];", //17.06.10 + " int i, j, nall, din[DsizeS][2];" //17.06.09 + ]; +// tmp=select(cmdL,#=="cutfun"); +// if(length(tmp)==0, + if(cutctr==0, //17.06.02 + cmdL=prepend(["1"],cmdL); + cmdL=prepend("cutfun",cmdL); + );// 17.05.26until + cutctr=0; + forall(1..(floor(length(cmdL))/2),nn, + tmp1=cmdL_(2*nn-1); tmp2=cmdL_(2*nn); + flg=0; // 17.05.26from + if(tmp1=="cutfun", + cutctr=cutctr+1; + tmp=select(1..(length(cmd)), indexof(cmd_#,"main")>0); + tmp3=cmd_((tmp_1)..(length(cmd))); + cmd=cmd_(1..(tmp_1-1)); + cmd=append(cmd,"double cutfun"+text(cutctr)+"(double u, double v){"); + cmd=append(cmd," double p[3],val;"); + cmd=append(cmd," surffun(u,v,p);"); + tmp=" val="+assign(tmp2_1,["x","p[0]","y","p[1]","z","p[2]"])+";"; + cmd=concat(cmd, [tmp," return val;", "}"]); + cmd=concat(cmd, tmp3); + flg=1; + ); + if(tmp1=="xyzax3data", + tmp=" "+tmp1+"("; + tmp=tmp+textformat(tmp2_1_1_1_1,5)+","; + tmp=tmp+textformat(tmp2_1_1_2_1,5)+","; + tmp=tmp+textformat(tmp2_1_2_1_2,5)+","; + tmp=tmp+textformat(tmp2_1_2_2_2,5)+","; + tmp=tmp+textformat(tmp2_1_3_1_3,5)+","; + tmp=tmp+textformat(tmp2_1_3_2_3,5)+","; + tmp=tmp+tmp2_2+");"; + cmd=append(cmd,tmp); + flg=1; + ); + if(tmp1=="spaceline", + if(!isstring(tmp2_1), + println(tmp2_1+" should be assgined as a string"); + , + tmp3=parse(tmp2_1); + tmp=text(length(tmp3)+1); +// cmd=append(cmd, " double "+tmp2_1+"["+tmp+"][3];"); + tmp=text(length(tmp3)); + cmd=append(cmd, " "+tmp2_1+"[0][0]="+tmp+";"); + forall(1..(length(tmp3)), + tmp=" "+tmp2_1+"["+text(#)+"][0]="+textformat(tmp3_#_1,5)+","; + tmp=tmp+tmp2_1+"["+text(#)+"][1]="+textformat(tmp3_#_2,5)+","; + tmp=tmp+tmp2_1+"["+text(#)+"][2]="+textformat(tmp3_#_3,5)+";"; + cmd=append(cmd,tmp); + ); + ); + flg=1; + ); + if(flg==0, + tmp=" "+tmp1; + if(length(tmp2)>0, + tmp=tmp+"("; + forall(1..length(tmp2),kk, + if(isstring(tmp2_kk), + if((kk==1)&(substring(tmp1,0,5)=="write"), + file=path+FheadC+tmp2_kk+".txt"; + fileh=path+FheadC+tmp2_kk+"h.txt"; + tmp=tmp+Dq+tmp2_kk+Dq+","+Dq+file+Dq+","+Dq+fileh+Dq; + , + tmp=tmp+tmp2_kk; + ); + , + if(!islist(tmp2_kk), + tmp=tmp+textformat(tmp2_kk,5); + , + ); + ); + if(kk<length(tmp2), + tmp=tmp+","; + , + tmp=tmp+");"; + ); + ); + ); + cmd=append(cmd, tmp);// 17.05.26until + ); + ); + tmp=select(1..(length(cmd)), indexof(cmd_#,"main")>0);//17.06.02from + tmp3=cmd_((tmp_1)..(length(cmd))); + cmd=cmd_(1..(tmp_1-1)); + cmd=append(cmd,"double cutfun(int ch, double u, double v){"); + cmd=append(cmd," double val;"); + forall(1..cutctr, + tmp=text(#); + cmd=append(cmd," if(ch=="+tmp+"){val=cutfun"+tmp+"(u,v);}"); + ); + cmd=concat(cmd,[" return val;", "}"]); + cmd=concat(cmd, tmp3);//17.06.02until + cmd=concat(cmd, [" return 0;", "}"]); + SCEOUTPUT = openfile(fname); + forall(cmd, + println(SCEOUTPUT,#); + ); + closefile(SCEOUTPUT); + tmp=fileslist(Dirwork); // 17.05.20from + tmp=tokenize(tmp,","); + tmp=select(tmp,indexof(#,".txt")>0); + tmp=select(tmp,indexof(#,FheadC)>0); + forall(tmp, + SCEOUTPUT = openfile(#); + println(SCEOUTPUT,""); + closefile(SCEOUTPUT); + ); // 17.05.20until +); + +kcC():=kcC(FheadC); +kcC(cname):=( + regional(tmp, tmp1,flg,rfile); + rfile="resultC"+cname+".txt"; + if(iswindows(), + SCEOUTPUT = openfile("kc.bat"); + println(SCEOUTPUT,"set path="+Dirwork); + tmp=Indexall(PathC,"\"); + if(length(tmp)==0, tmp=ndexall(PathC,"/")); + tmp1=substring(PathC,0,tmp_(length(tmp))-1); + println(SCEOUTPUT,"cd "+tmp1); + tmp=PathC+" %path%\"+cname+".c"; + tmp=tmp+" -o %path%\main.exe"; + println(SCEOUTPUT,tmp); + println(SCEOUTPUT,"%path%\main.exe"); + println(SCEOUTPUT,"echo //// > %path%\"+rfile); + println(SCEOUTPUT,"exit"); + closefile(SCEOUTPUT); + tmp=cname+".txt"; + println(kc(Dirwork+Batparent,Mackc+Dirlib,tmp)); + , + SCEOUTPUT = openfile("kc.sh"); + println(SCEOUTPUT,"#!/bin/sh"); + println(SCEOUTPUT,"cd "+Dq+Dirwork+Dq); + tmp=PathC+" "+cname+".c -o main.out"; + println(SCEOUTPUT,tmp); + println(SCEOUTPUT,"./main.out"); + println(SCEOUTPUT,"echo //// >"+rfile); + println(SCEOUTPUT,"exit 0"); + closefile(SCEOUTPUT); + tmp=cname+".txt"; + println(kc(Dirwork+Shellparent,Mackc+Dirlib,tmp)); + ); + SCEOUTPUT=openfile(wfile); + println(SCEOUTPUT,""); + closefile(SCEOUTPUT); + flg=0; + repeat(floor(10*1000/WaitUnit), + if(flg==0, + tmp1=load(wfile); + if(substring(tmp1,0,4)=="////", + flg=1; + ); + wait(WaitUnit); + ); + ); + if(flg==0, + println("Ckc not completed"); + , + println("Ckc succeeded"); + ); +); + +ReadCdataold(var, fname):=ReadCdata(var, fname,[]); +ReadCdata(var, fname,options):=( + regional(file,dt,name,str,tmp,tmp1,opstr,gout, out3,out2); + if(indexof(fname,".")==0, + file=fname+".txt"; + name=fname; + , + file=fname; + tmp=indexof(fname,"."); + name=substring(fname,0,tmp-1); + ); + tmp=Divoptions(options); + opstr=tmp_8; + gout=ReadOutData(file); + GLIST=Append(GLIST,"Tmpstr=ReadOutData("+Dq+file+Dq+")"); + if(substring(var,length(var)-1,length(var))!="h", + if(length(parse(gout_1))>0, + Projpara(var+"3d",options); + ); + , + if(length(parse(gout_2))>0, + Projpara(var+"3d",options); + ); + );//17.06.16until +); + +ReadCdata(fnameorg):=( + regional(tmp,tmp1,fname,data,out); + fname=fnameorg; + if(indexof(fname,".")==0, fname=fname+".txt"); + data=load(fname); + data=tokenize(data," -99999"); + out=[]; + tmp1=[]; + forall(1..(length(data)-1), + tmp=replace(data_#," ",","); + if(indexof(tmp,"99999.")==0, + tmp="["+replace(data_#," ",",")+"]"; + tmp=parse(tmp); + tmp1=append(tmp1,tmp); + , + out=append(out,tmp1); + tmp1=[]; + ); + ); + if(length(tmp1)>0,out=append(out,tmp1)); + out; +); + +WriteCdata(fnameorg,dataorg):=( +//help:WriteCdata(filename, 3ddata); + regional(tmp,fname,data,kk,nn,pt); + data=dataorg; + if(isstring(data),data=parse(data)); + if(MeasureDepth(data)==1,data=[data]); + fname=fnameorg; + if(indexof(fname,".")==0, fname=fname+".txt"); + SCEOUTPUT=openfile(fname); + forall(1..(length(data)),kk, + forall(1..(length(data_kk)),nn, + pt=apply(1..3,Sprintf(data_kk_nn_#,5)); + tmp=pt_1+" "+pt_2+" "+pt_3+" -99999"; + println(SCEOUTPUT,tmp); + ); + if(kk<length(data), + println(SCEOUTPUT,"99999.00000 2.00000 0.00000 -99999"); + ); + ); + closefile(SCEOUTPUT); +); + +DisplayC():=DisplayC(DispC); +DisplayC(name,options):=DisplayC([name,options]); +DisplayC(dispc):=( +//help:DisplayC("out",["Color=[1,0,0]"); +//help:DispC(options=["dr", "Color=[0,0,0]"]) + regional(tmp,tmp1,cflg,var, file,options,eqL,opcindy,color); + forall(1..(floor(length(dispc)/2)), //17.05.18 + var=dispc_(2*#-1); // 17.05.24 + if(substring(var,length(var)-1,length(var))!="h",//17.06.09(5lines) + file=FheadC+var+".txt"; + , + file=FheadC+substring(var,0,length(var)-1)+".txt"; + ); + options=dispc_(2*#); + cflg=0; + tmp=Divoptions(options);//17.06.18from + eqL=tmp_5; + opcindy=tmp_9; + forall(eqL, + if(Toupper(substring(#,0,2))=="CO", + tmp=indexof(#,"="); + color=substring(#,tmp,length(#)); + if(substring(color,0,1)=="[", + color=parse(color); + if(length(color)==3, + tmp1="color->"+text(color); + , + tmp=Colorcode("rgb","cmyk",color); + tmp1="color->"+text(tmp); + ); + options=append(options,tmp1); + ); + options=remove(options,[#]); + cflg=1; + ); + ); + if(cflg==1, + Texcom("{"); + Setcolor(color); + ); + ReadCdata(var,file,options);// 17.05.24 + if(cflg==1, + Texcom("}"); + ); + ); +); + +Cheadsurf():=( + regional(cmd,jj,divL,sizeL,epsL,nf,var1,var2,tmp,tmp1,tmp2); + divL=ConstantListC_1; + sizeL=ConstantListC_2; + epsL=ConstantListC_3; + cmd=[]; + tmp="const double XMIN="+Sprintf(XMIN,6); + tmp=tmp+",XMAX="+Sprintf(XMAX,6)+";"; + cmd=append(cmd,tmp); + tmp="const double THETA="+Sprintf(THETA,6); + tmp=tmp+",PHI="+Sprintf(PHI,6)+";"; + cmd=append(cmd,tmp); + tmp=" //THETA:"+Sprintf(THETA*180/pi,2); + tmp=tmp+", PHI:"+Sprintf(PHI*180/pi,2)+";"; + cmd=append(cmd,tmp); + tmp1=apply(divL,text(#)); + tmp="const int Mdv="+tmp1_1+",Ndv="+tmp1_2+";"; + cmd=append(cmd,tmp); + tmp1=apply(sizeL,text(#)); + tmp="#define DsizeLL "+tmp1_1; + cmd=append(cmd,tmp); + tmp="#define DsizeL "+tmp1_2; + cmd=append(cmd,tmp); + tmp="#define DsizeM "+tmp1_3; + cmd=append(cmd,tmp); + tmp="#define DsizeS "+tmp1_4; + cmd=append(cmd,tmp); + tmp1=apply(epsL,format(#,7)); + tmp="const double Eps="+tmp1_1; + tmp=tmp+", Eps1="+tmp1_2; + tmp=tmp+", Eps2="+tmp1_3+";"; + cmd=append(cmd,tmp); + tmp="const char dirname[]="+Dq+Dirwork+"/"+Dq+";"; + cmd=append(cmd,tmp); + cmd=append(cmd,"double Urng[2],Vrng[2];"); + cmd=append(cmd, "int DrawE,DrawW,DrawS,DrawN;"); + cmd=append(cmd,"void rangeUV(short ch){"); + cmd=append(cmd," switch(ch){"); + forall(1..(length(FuncListC)),nf, + tmp2=" case "+text(nf)+" : "; + forall(4..5, + tmp1=FuncListC_nf_#; tmp=indexof(tmp1,"="); + tmp1=substring(tmp1,tmp+1,length(tmp1)-1); + tmp1=tokenize(tmp1,","); + if(#==4,tmp="Urng",tmp="Vrng"); + tmp2=tmp2+tmp+"[0]="+tmp1_1+";"+tmp+"[1]="+tmp1_2+";"; + ); + cmd=append(cmd,tmp2); + ); + cmd=append(cmd," }"); + cmd=append(cmd, "}"); + cmd=append(cmd,"void boundary(short ch){"); + cmd=append(cmd," switch(ch){"); + forall(1..(length(FuncListC)),nf, + tmp2=" case "+text(nf)+" : "; + tmp=FuncListC_nf_6; + tmp2=tmp2+"DrawE="; + if(indexof(tmp,"e")>0,tmp2=tmp2+"1;",tmp2=tmp2+"0;"); + tmp2=tmp2+"DrawW="; + if(indexof(tmp,"w")>0,tmp2=tmp2+"1;",tmp2=tmp2+"0;"); + tmp2=tmp2+"DrawS="; + if(indexof(tmp,"s")>0,tmp2=tmp2+"1;",tmp2=tmp2+"0;"); + tmp2=tmp2+"DrawN="; + if(indexof(tmp,"n")>0,tmp2=tmp2+"1;",tmp2=tmp2+"0;"); + cmd=append(cmd,tmp2); + ); + cmd=append(cmd," }"); + cmd=append(cmd,"}"); + tmp="void surffun(short ch,double u, double v, double p[3]){"; + cmd=append(cmd,tmp); + cmd=append(cmd," switch(ch){"); + forall(1..(length(FuncListC)),nf, + tmp2=" case "+text(nf)+" : "; + forall(1..3, + tmp1=FuncListC_nf_#; tmp=indexof(tmp1,"="); + tmp1=substring(tmp1,tmp,length(tmp1)); + tmp2=tmp2+"p["+text(#-1)+"]="+tmp1+";"; + ); + cmd=append(cmd,tmp2); + ); + cmd=append(cmd," }"); + cmd=append(cmd,"}"); + cmd; +); + +Ctopsurf(name):=Ctopsurf(name,[]); +Ctopsurf(name,cmdadd):=( + regional(path,cmd); + path=DirlibC+"/"; + path=replace(path,"\","/"); + cmd=[ + "#include <stdio.h>", "#include <math.h>", + "#include "+Dqq(Fhead+name+"header.h"), + "#include "+Dqq(path+"ketcommonhead.h"), + "#include "+Dqq(path+"ketcommon.h"), + "#include "+Dq+path+"surflibhead.h"+Dq, + "#include "+Dq+path+"surflib.h"+Dq, + "double cutfun1(short ch,double u, double v){", + " double p[3],val;", + " surffun(ch,u,v,p);", + " val=1;", + " return val;", + "}", + "double cutfun(short ch, int chcut, double u, double v){", + " double p[3],val;", + " switch(chcut){", + " case 1: val=cutfun1(ch,u,v);", + " }", + " return val;", + "}", + "int main(void){", + " double out[DsizeL][3], data[DsizeLL][3];", + " int i, j, nall, din[DsizeS][2];", + " char dirfname[256] = {'\0'};" + ]; + cmd; +); + +WritetoC(nm,header,main):=( + regional(hfile,mfile,top,body,tmp,tmp1,tmp2); + hfile=Fhead+nm+"header.h"; + mfile=Fhead+nm+".c"; + top=main_1; + body=main_2; + SCEOUTPUT=openfile(hfile); + forall(header, + println(SCEOUTPUT,#+"/**/"); + ); + closefile(SCEOUTPUT); + SCEOUTPUT=openfile(mfile); + forall(top, + println(SCEOUTPUT,#); + ); + println(SCEOUTPUT,"/**/"); + forall(body, + println(SCEOUTPUT,#+"/**/"); + ); + println(SCEOUTPUT," return 0;"); + println(SCEOUTPUT,"}"); + closefile(SCEOUTPUT); +); + +CalcbyC(name,cmd):=CalcbyC(name,PathC,cmd,[]); +CalcbyC(name,Arg1,Arg2):=( + if(isstring(Arg1), + CalcbyC(name,Arg1,Arg2,[]); + , + CalcbyC(name,PathC,Arg1,Arg2); + ); +); +CalcbyC(name,path,cmd,optionorg):=( + regional(options,eqL,strL,waiting,wflg,header,top,body, + wfile,hfile,mfile,flg,tmp,tmp1,tmp2,tmp3); + header=cmd_1; + top=cmd_2; + body=cmd_3; + options=optionorg; + tmp=divoptions(options); +// eqL=tmp_5; + strL=tmp_7; + waiting=30; + wfile="resultC"+Fhead+name+".txt"; + hfile=Fhead+name+"header.h"; + println(Dirwork); + println(hfile); + mfile=Fhead+name+".c"; + wflg=0; + forall(strL, + tmp=Toupper(substring(#,0,1)); + if(tmp=="M", + wflg=1; + options=remove(options,[#]); + ); + if(tmp=="R", + wflg=-1; + options=remove(options,[#]); + ); + ); + if(wflg==0, + tmp1=header; + if(!isexists(Dirwork,hfile),wflg=1); + if(wflg==0, + tmp2=load(hfile); + tmp2=tokenize(tmp2,"/**/"); + tmp2=tmp2_(1..(length(tmp2)-1)); + if(length(tmp1)!=length(tmp2),wflg=1); + ); + if(wflg==0, + forall(1..(length(tmp1)), + if(tmp1_#!=tmp2_#,wflg=1); + ); + ); + if(wflg==0, + tmp1=body; + if(!isexists(Dirwork+"/",mfile),wflg=1); + if(wflg==0, + tmp2=load(mfile); + tmp2=tokenize(tmp2,"/**/"); + tmp2=tmp2_(2..(length(tmp2)-1)); + if(length(tmp1)!=length(tmp2),wflg=1); + ); + if(wflg==0, + forall(1..(length(tmp1)), + if(tmp1_#!=tmp2_#,wflg=1); + ); + ); + ); + if(wflg==0,wflg=-1); + ); + if(wflg==1, + WritetoC(name,header,[top,body]); + SCEOUTPUT=openfile(wfile); + println(SCEOUTPUT,""); + closefile(SCEOUTPUT); + kcC(Fhead+name); + ); + flg=0; + tmp1=floor(waiting*1000/WaitUnit); + repeat(tmp1, + if(flg==0, + tmp=load(wfile); + if(length(tmp)>=4, + tmp2=substring(tmp,length(tmp)-4,length(tmp)); + if(tmp2=="////", + tmp=substring(tmp,0,length(tmp)-4); + flg=1; + tmp2=#*WaitUnit/1000; + ); + , + if(wflg==-1, + flg=-1; + , + wait(WaitUnit); + ); + ); + ); + if(flg<=0, + ErrFlag=1; + if(flg==-1, + println(wfile+" does not exist"); + , + if(flg==0, + tmp="("+text(waiting)+" s )"; + println(wfile+" not generated "+tmp); + ); + ); + ); + ); +); + +SfbdparadataC(nm,fd):= + SfbdparadataC(nm,fd,[],["nodisp"]); +SfbdparadataC(nm,fd,options):= + SfbdparadataC(nm,fd,options,["nodisp"]); +SfbdparadataC(nm,fdorg,optionorg,optionsh):=( +//help:SfbdparadataC("1",Fd); +//help:SfbdparadataC(options2=["r/m"]); + regional(funnm,fd,options,name2,name3,name2h,name3h,waiting, + eqL,reL,strL,fname,tmp,tmp1,tmp2,flg,wflg); + if(ChNumber==0,ChNumber=Ch); + fd=ConvertFdtoC(fdorg); + FuncListC=append(FuncListC,fd); + funnm=text(length(FuncListC)); + name2="sfbd2d"+nm; + name3="sfbd3d"+nm; + name2h="sfbdh2d"+nm; + name3h="sfbdh3d"+nm; + fname=Fhead+"sfbd"+nm+".txt"; + options=optionorg; + tmp=Divoptions(options); + eqL=tmp_5; + reL=tmp_6; + strL=tmp_7; + waiting=120; + wflg=0; + forall(strL, + tmp=Toupper(substring(#,0,1)); + if(tmp=="M", + wflg=1; + options=remove(options,[#]); + ); + if(tmp=="R", + wflg=-1; + options=remove(options,[#]); + ); + ); + options=remove(options,eqL); + options=remove(options,reL); + options=select(options,length(#)>0); + cmdL=[ + " double sfbd"+funnm+"[DsizeL][3];", + " char fname"+funnm+"[]="+Dqq(fname)+";", + " rangeUV("+funnm+");", + " boundary("+funnm+");", + " sfbdparadata("+funnm+",sfbd"+funnm+");", + " sprintf(dirfname,"+Dqq("%s%s")+",dirname,fname"+funnm+");", + " output3h("+Dqq("sfbd3d"+nm)+","+Dqq("sfbdh3d"+nm)+",dirfname,sfbd"+funnm+");"; + ]; + if(wflg==1,tmp1=append(options,"m")); + if(wflg==-1,tmp1=append(options,"r")); + if(ErrFlag==0, + tmp="sfbd"+nm; + CalcbyC(tmp,[Cheadsurf(),Ctopsurf(tmp),cmdL],tmp1); + ); + if(ErrFlag==1, + err("Sfbdparadata not completed"); + , + ReadOutData(fname); + GLIST=append(GLIST,"ReadOutData("+Dqq(fname)+")"); + if(islist(parse(name3)), + tmp1=name2+"=Projpara("+Dqq(name3)+",["; + tmp2=""; + if(length(options)>0, + forall(options, + tmp2=tmp2+Dqq(#)+","; + ); + tmp2=substring(tmp2,0,length(tmp2)-1); + ); + tmp1=tmp1+tmp2+"]);"; + parse(tmp1); + if(length(optionsh)==0,tmp2=["nodisp"],tmp2=optionsh); + tmp1=name2h+"=Projpara("+Dqq(name3h)+",["; + forall(tmp2, + tmp1=tmp1+Dqq(#)+","; + ); + tmp1=substring(tmp1,0,length(tmp1)-1)+"]);"; + parse(tmp1); + , + ErrFlag=1; + ); + ); +); + +CrvsfparadataC(nm,fk,fbdy,fd):= + CrvsfparadataC(nm,fk,fbdy,fd,[],["nodisp"]); +CrvsfparadataC(nm,fk,fbdy,fd,options):= + SfbdparadataC(nm,fk,fbdy,fd,options,["nodisp"]); +CrvsfparadataC(nm,Fk,Fbdy,fdorg,optionorg,optionsh):=( +//help:CrvsfparadataC("1","ax3d","sfbd3d1",Fd); +//help:CrvsfparadataC(options2=["r/m"]); +//help:CrvsfparadataC(optionsh=["nodisp"]); + regional(funnm,fd,options,name2,name3,name2h,name3h,waiting, + eqL,reL,strL,fname,tmp,tmp1,tmp2,flg,wflg,flg,ii,jj,eps); + eps=10^(-5); + fd=ConvertFdtoC(fdorg); + tmp=select(1..(length(FuncListC)),FuncListC_#==fd); + funcnum=tmp_1; + name2="crvsf2d"+nm; + name3="crvsf3d"+nm; + name2h="crvsfh2d"+nm; + name3h="crvsfh3d"+nm; + fname=Fhead+"crvsf"+nm+".txt"; + options=optionorg; + tmp=Divoptions(options); + eqL=tmp_5; + reL=tmp_6; + strL=tmp_7; + waiting=120; + wflg=0; + forall(strL, + tmp=Toupper(substring(#,0,1)); + if(tmp=="M", + wflg=1; + options=remove(options,[#]); + ); + if(tmp=="R", + wflg=-1; + options=remove(options,[#]); + ); + ); + options=remove(options,eqL); + options=remove(options,reL); + options=select(options,length(#)>0); +// tmp1=[Dqq(fname),Dqq(name3),name3,Dqq(name2),name2]; +// tmp1=concat(tmp1,[Dqq(name3h),name3h,Dqq(name2h),name2h]); + tmp2=parse(Fbdy); + flg=0; + tmp=Fhead+Fbdy+".dat"; + if(!isexists(Dirwork,tmp),flg=1); + if(flg==0, + tmp1=ReadCdata(tmp); + if(length(tmp1)!=length(tmp2),flg=1); + if(flg==0, + forall(1..(length(tmp1)),ii, + if(length(tmp1_ii)!=length(tmp2_ii),flg=1); + forall(1..(length(tmp1_ii)),jj, + if(flg==0, + if(Norm(tmp1_ii_jj-tmp2_ii_jj)>eps,flg=1); + ); + ); + ); + ); + ); + if(flg==1,WriteCdata(tmp,Fbdy)); + tmp2=parse(Fk); + flg=0; + tmp=Fhead+Fk+".dat"; + if(!isexists(Dirwork,tmp),flg=1); + if(flg==0, + tmp1=ReadCdata(tmp); + if(length(tmp1)!=length(tmp2),flg=1); + if(flg==0, + forall(1..(length(tmp1)),ii, + if(length(tmp1_ii)!=length(tmp2_ii),flg=1); + forall(1..(length(tmp1_ii)),jj, + if(flg==0, + if(Norm(tmp1_ii_jj-tmp2_ii_jj)>eps,flg=1); + ); + ); + ); + ); + ); + if(flg==1,WriteCdata(tmp,Fk)); + cmdL=[ + " double fbdy[DsizeL][3],fk[DsizeL][3];", + " char fname"+nm+"[]="+Dqq(fname)+";", + " rangeUV("+funnm+");", + " boundary("+funnm+");", + " readdata3("+Dqq(Fhead+Fbdy+".dat")+",fbdy);", + " readdata3("+Dqq(Fhead+Fk+".dat")+",fk);", + " crvsfparadata(fk,fbdy, 0, out);", + " sprintf(dirfname,"+Dqq("%s%s")+",dirname,fname"+nm+");", + " output3h("+Dqq("crvsf3d"+nm)+","+Dqq("crvsfh3d"+nm)+",dirfname,out);" + ]; + if(wflg==1,tmp1=append(options,"m")); + if(wflg==-1,tmp1=append(options,"r")); + if(ErrFlag==0, + tmp="crvsf"+nm; + CalcbyC(tmp,[Cheadsurf(),Ctopsurf(tmp),cmdL],tmp1); + ); + if(ErrFlag==1, + err("Crvsfparadata not completed"); + , + ReadOutData(fname); + GLIST=append(GLIST,"ReadOutData("+Dqq(fname)+")"); + if(islist(parse(name3)), + tmp1=name2+"=Projpara("+Dqq(name3)+",["; + tmp2=""; + if(length(options)>0, + forall(options, + tmp2=tmp2+Dqq(#)+","; + ); + tmp2=substring(tmp2,0,length(tmp2)-1); + ); + tmp1=tmp1+tmp2+"]);"; + parse(tmp1); + if(length(optionsh)==0,tmp2=["nodisp"],tmp2=optionsh); + tmp1=name2h+"=Projpara("+Dqq(name3h)+",["; + forall(tmp2, + tmp1=tmp1+Dqq(#)+","; + ); + tmp1=substring(tmp1,0,length(tmp1)-1)+"]);"; + parse(tmp1); + , + ErrFlag=1; + ); + ); +); + +//help:end(); + diff --git a/Master/texmf-dist/scripts/ketcindy/ketlib/ketpicR/ketpic5_2_4.r b/Master/texmf-dist/scripts/ketcindy/ketlib/ketpicR/ketpic5_2_4.r new file mode 100644 index 00000000000..a53dd021a84 --- /dev/null +++ b/Master/texmf-dist/scripts/ketcindy/ketlib/ketpicR/ketpic5_2_4.r @@ -0,0 +1,14413 @@ +# Copyright (C) 2014 Setsuo Takato, KETCindy Japan project team +# +#This program is free software: you can redistribute it and/or modify +# it under the terms of the GNU General Public License as published by +# the Free Software Foundation; either version 3 of the License, or +# (at your option) any later version. +# +# This program is distributed in the hope that it will be useful, +# but WITHOUT ANY WARRANTY; without even the implied warranty of +# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the +# GNU General Public License for more details. +# +# You should have received a copy of the GNU General Public License +# along with this program. If not, see <http://www.gnu.org/licenses/> + + +######################################### + +ThisVersion<- "KeTpic for R v5_2_4(18.02.26)" + +print(ThisVersion) + +# 2018.02.26 +# Sfcutparadata changed +# Partcrv3 debugged +# Projcurve rewritten +# Nohiddenparadata debugged +# PthiddenQ debugged +# 2018.02.24 +# Sfcutdata added ( for functions ) +# Meetpoints debugged (case Norm(PtB-PtA)<Eps0) +# 2018.02.23 +# Makevaltable2 added ( for functions ) +# 2018.02.23 +# Crvonsfparadata,Crv3onsfparadata added +# Wireparadata added +# 2018.02.22 +# PthiddenQ,Nohiddenpara2 changed (Eps2) +# 2018.02.21 +# PthiddenQ,Meetpoints debugged +# Crvsfparadata debugged (OTHERPARTITION) +# Partitionseg debugged (for non-list) and changed (Ns=0) +# Intersectcrvsf added +# 2018.02.19 +# Groupnearpt added +# Collectnear debugged +# Meetpoints,PthiddenQ debugged and changed (Groupnearpt used ) +# Parapt changed (for point list ) +# Partitionseg changed (remove close value ) +# Fullformfunc changed (Initialization of ADDPOINT) +# Addpoints added +# 2018.02.18 +# Projpara debugged ( for empty data, Mix replace ) +# WriteOutData debugged (for emply data ) +# Sfbdparadata,Cuspparadata debugged +# Meetpoints replaced +# 2018.02.17 +# PthiddenQ replaced +# 2018.02.15 +# Cancoordpara debugged (X=-... ) +# 2018.02.14 +# Paramoncrv,Pointoncrv renamed to ...curve +# 2018.02.12 +# Nohiddenpara2 debugged ( CUSPPT should be a list ) +# Dropnumlistcrv changed (Eps) +# 2018.02.11 +# Paramocrv debugged ( case N=Length(PtL) ) +# Sfbdparadata, Borderparadata, Makexybdy, Partitionseg, +# Evlptablepara, Fullformfunc, Dropnumlistcrv, Cuspsplitpara, +# PthiddenQ, Nohiddenpara2 added +# Crvsfparadata, Meetpoints, Clipdomain added +# 2018.02.10 +# Partcrv3 debugged +# 2018.02.09 +# Ptstart,Ptend changed ( for the case fig is empty) +# Norm changed (Dotprod used ) +# 2018.02.07 +# Collectnear debugged (Looprange ) +# Intersectcurves debugged (sum) +# 2018.02.06 +# Kukeiiwake debugged ( ParamonCurve -> Paramoncrv ) +# 2018.02.05 +# Dotprod changed ( crossprod not used ) +# Intersectpartseg changed ( case of length of result =1) +# 2018.02.04 +# Diff added ( func, withvar, (varnamevalue1,... )) +# Funvalue added ( for an expression ) +# 2018.02.02 +# Enclosing2 changed ( for distant curves, startpt option removed ) +# 2018.02.01 +# Intersectline,Intersectseg,...,Intersectcuves added +# Quicksort added +# Enclosing2 added (incomplete) +# 2018.01.29 +# Length added +# 2017.12.24 +# Objpolyhedron added +# 2017.12.23 +# Objsymb, symb3data added +# Objrecs, Objpolygon debugged +# Objthicksurf added +# 2017.12.22 +# Openobj,Closeobj,Writeobjpoint,Printobjstr,Objname,Objsurf added +# Crossprod added +# Objjoin, Objcurve, Objrecs, Objpolygon, Objsymb added +# Spacecurve debugged +# 2017.12.17 +# Setunitlen debugged ( MEMORI ) +# 2017.12.13 +# ReadOutData debugged +# 2017.12.11 +# Enclosing debugged ( appendrow -> Appendrow ) +# 2017.11.29 +# Anglemark, Arrowhead, Ovaldata debugged ( Circldeta included ) +# 2017.11.27 +# Anglemark changed ( Scilab 16.12.29) +# Plotdata,Paramplot,Spacecurve changed ( Scilab 16.12.13) +# Enclosing changed ( Scilab 16.10.09) +# Arrowhead,Arrowline changed ( Scilab 15.06.11) +# Definecolor added ( Scilab 15.05.04) +# 2017.11.26 +# Exprrot, Letterrot debugged ( `) +# 2017.11.24 +# Deqplot debugged (Looprange) +# 2017.11.20 +# InWindow debugged (for length=1) +# 2017.10.28 +# Openfile changed (Creator) +# 2017.10.23 +# ReadOutData greatly changed +# 2017.10.11 +# Drwpt debugged (Flattenlist ) +# 2017.10.08 +# Bezier debugged ( Num ) +# 2017.10.07 +# ReadOutData debugged ( for null data ) +# 2017.10.06 +# Deqdata, Deqplot added +# Connectseg remade(bug) +# 2017.09.30 +# Bezierpt, Bezier added +# 2017.09.29 +# Ptcrv debugged +# 2017.09.28 +# Openfile changed +# 2017.09.24 +# Circledata debugged +# Kyoukai changed (Eps) +# Shade updated +# 2017.09.22 +# Setcolor changed +# Plotdata,Paramplot,Spacecurve changed (N-1 -> N) +# 2017.09.21 +# Shade changed (Sci 17.01.09) +# 2017.09.17 +# Ovaldata,Assignadd changed +# Dist added +# Cicledata changed +# Bowdata debugged (Circledata,etc) + +# 2015.11.05 +# WriteOutData changed + +# 2015.10.29 +# WriteOutData changed ( endmark //// ) + +# 2015.10.24 +# ReadOutData changed ( in case of listlength=1 ) + +# 2014.12.23 +# ReadOutData added + +# 2014.12.17 +# WriteOutData added + +# 2014.0905 +# Unscaling debugged MARKLENI => MARKLEN +# 2014.03.31 +# PhHiddenData added +# 2014.03.30 +# Facesdata changed ( for Hiddendata ) +# 2014.03.23 +# MARKLEN separated, Rotate3data debugged + +# 2013.12.19 +# Openfile, Closefile, Bowname, Bownamerot + +# 2013.11.13 +# Arrowhead, Arrowheaddata + +# 2013.08.07 +# Cancoordpara added + +# 2013.08.07 +# Integrate added + +# 2013.05.20 +# Openfile changed + +# 2013.05.03 +# Tabledata, Pointdata changed +# Dividetable, Partframe added + +# 2013.02.10 +# Ketinit added + +# 2012.01.07 +# Arrowline, Arrowhead ( Cut implemented ) + +# 2011.12.18 +# Framedata ( compliant for list ) + +# 2011.12.12 +# Skeletonparadata... ( Flattellist used) + +# 2011.11.27 +# drwboxframe + +# 2011.11.07 +# metacommands added + +# 2011.11.02 +# Joingraphics ( for list structure ) + +# 2011.08.24 +# Setcolor ( c(1,0,0,0.5) etc ) +# Rotate3data ( Point is available ) + +# 2011.07.19 +# Drwline, Letter, Expr +# Drwboxplot( etc ) min,max => outliners +# Drwline ( unfinished in the case of "integer" ) + +# 2011.06.25 +# joincrvs debugged + +# synchro with ketpict2e + +# 2011.06.01 +# Bowdata debugged + +#2011.05.28 +# Ratiocmyk, Setcolor ( new ) + +#2011.04.28 +# Htickmark, Vtickmark debugged + +#2011.03.08 +# Drwboxframe debugged +# Putrow, Putrowexpr debugged (Dpos ) + +#2011.03.02 +# Tabledata ( index of hline ), PutcoL, PutcoLexpr ( "r",...) debugged +# Texcom changed ( // => backslash ) + +#2011.01.07 +# Dividegraphics, Splinedat are changed significantly +# Readtextdata is changed + +#2011.01.04 +# Derivative, Integrate are added + +#2010.12.07 +# Translatedata, Scaledata, Reflectdata changed ( efficient for vector ) +# Rotatedata changed ( deg : logical ) +# HIstplotdata, Drwhistplot ( type => freq , fpplot (added) ) + +# 2010.12.04 +# WindispT changed ( tickmark ) +# Lineplot changed ( mag=> length ) +# Plotdata debugged ( 'E=fun', 'D=') +# Enclosing changed (return PD) + +# 2010.12.02 +# WindispT changed +# Makecurves debugged + +# 2010.11.27 +# Pointdata changed ( efficient for matrix and data.frame ) +# WindispT +# Setwindow ( decide from data ) +# Assign debugged ( strsplit => gsub(fixed=T)) + +# 2010.11.20 +# Flattenlist, WindispT +# Splinedata changed( efficient for data.frame ) + +#2010.08.19 ( Maybe not finished ) +# Stripblanks +# Fullformfunc, Sf3data + +#2010.08.17 +# Phparadata, Phpersdata, Phspersdata, Phsparadata +# Facesdata, MakeveLfaceL, Menkakusi2 +# Rotate3data +# Skeletonpersdata, Skeletonpers3data, Makeskeletonpersdata +# Embed + +#2010.08.16 +# Spacecurve changed +# CameracoordCurve, Partcrv3, Projpers, CameraCurve, +# Perspt, Xyzaxpersname, Invperspt, Zparapt, Zperspt + +# 2010.08.15 +# Phcutoffdata added + +# 2010.08.13 +# Phcutdata, Spacecurve debugged +# Setangle changed + +# 2010.08.09 +# Spacecurve +# Rotate3data, Rotate3pt +# Phcutdata + +# 2010.08.08 +# Implementing 3d +# Initangle, Setangle, Setpers, SetstereoL, SetstereoR +# Mixlength +# Spaceline, Projpara, ProjCurve, Parapt +# Xyzax3data, Xyzaxparaname +# Cancoordpers, Invparapt, ProjcoordCurve +# Skeletonparadata, Skeletonpara3data, Makeskeletondata, Kukannozoki + +# 2010.07.25 +# Rotatedata changed +# Drwline changed (list of list) + +# 2010.04.09 +# Stat package added + +# 2010.04.02 +# Putcolexpr, Putrowexpr + +# 2010.04.02 + +# Windisp, Op changed +# Execmd added +# Texnewcmd, Texrenewcmd, Texend, +# Texctr, Texnewctr, Texsetctr +# Kyoukai debugged + +# 2010.01.20 +# Partcrv, Makeshasen : debugged + +# 2010.01.23 +# Ovaldata, Ovalbox added + +# 2010.01.27 +# Readtextdata changed +# Putrow, PutcoL debugged ( Putcol is OK) + +# 2010.01.31 +# Writetextdata added + +# 2010.02.12 +# Texvalctr, Texthectr added + +# 2010.02.22 +# Execmd changed + +# 2010.02.23 +# Op, Windisp changed + +# 2010.02.24 +# Execmd changed + +# 2010.03.07 +# Dotfilldata (Kosa>1) + +# 2010.03.21 +# Mixjoin +# Koutenlist (bug) + + +# 2010.03.24 +# Arrowhead ( bug in the case of "l" ) + +# 2010.03.28 +# Tabledata +# Diagcelldata ( New ) + +# 2010.03.30 +# Tabledata + +########################################### + +XMIN<- -5 +XMAX<- 5 +YMIN<- -5 ; YMAX<- 5 +ZIKU<- "line" +ARROWSIZE<- 1 +XNAME<- "$x$" +XPOS<- "e" +YNAME<- "$y$" +YPOS<- "n" +ONAME<- "O" +OPOS<- "sw" +ULEN<- "1cm" +MilliIn<- 1/2.54*1000 +PenThick<- round(MilliIn*0.02) +PenThickInit<- PenThick +TenSizeInit<<- 0.02*2 #17.10.07 +TenSize<- TenSizeInit +Wfile<-"" +MEMORI<- 0.05 +MEMORIInit<- MEMORI +MEMORINow<- MEMORI +MARKLEN<- 0.05 +MARKLENInit<- MARKLEN +MARKLENNow<- MARKLEN +GENTEN<- c(0,0) +YaSize<- 1 +YaAngle<- 18 +YaPosition<- 1 +YaThick<- 1 +YaStyle<- "tf" +PHI<- 30*pi/180 +THETA<- 60*pi/180 +FocusPoint<- c(0,0,0) +EyePoint<- c(5,5,5) +ASSIGNLIST<- list("`","'") + +SCALEX<- 1 +SCALEY<- 1 +LOGX<- 0 +LOGY<- 0 + +TEXFORLEVEL<- 0 +TEXFORLAST<- list() + +####################### + +Ketinit<- function(){ +XMIN<<- -5 +XMAX<<- 5 +YMIN<<- -5 ; YMAX<<- 5 +ZIKU<<- "line" +ARROWSIZE<<- 1 +XNAME<<- "$x$" +XPOS<<- "e" +YNAME<<- "$y$" +YPOS<<- "n" +ONAME<<- "O" +OPOS<<- "sw" +ULEN<<- "1cm" +MilliIn<<- 1/2.54*1000 +PenThick<<- round(MilliIn*0.02) +PenThickInit<<- PenThick +TenSizeInit<<- 0.02*2 #17.10.07 +TenSize<<- TenSizeInit +Wfile<<-"" +MEMORI<<- 0.05 +MEMORIInit<<- MEMORI +MEMORINow<<- MEMORI +MARKLEN<<- 0.05 +MARKLENInit<<- MARKLEN +MARKLENNow<<- MARKLEN +GENTEN<<- c(0,0) +YaSize<<- 1 +YaAngle<<- 18 +YaPosition<<- 1 +YaThick<<- 1 +YaStyle<<- "tf" +PHI<<- 30*pi/180 +THETA<<- 60*pi/180 +FocusPoint<<- c(0,0,0) +EyePoint<<- c(5,5,5) +ASSIGNLIST<<- list("`","'") + +SCALEX<<- 1 +SCALEY<<- 1 +LOGX<<- 0 +LOGY<<- 0 + +TEXFORLEVEL<<- 0 +TEXFORLAST<<- list() +} + +#------------------------------------------------------- + +Appendrow<- function(...) +{ + varargin<- list(...) + Nargs<- length(varargin) + Out<-c() + Nc<- 0 + for (I in 1:Nargs) + { + Dt<- varargin[[I]] + Nc<- max(Nc,Ncol(Dt)) + if(class(Dt)=="matrix") Dt<-as.numeric(t(Dt)) + Out<- c(Out,Dt) + } + if(Nc>0) + { + Out<-matrix(Out, nrow=Nc) + Out<-t(Out) + } + else + { + Out<-c() + } + return(Out) +} + +Crossprod<-function(a,b) +{ + if(length(a)==3) + { + Tmp1<-a[2]*b[3]-a[3]*b[2] + Tmp2=a[3]*b[1]-a[1]*b[3] + Tmp3=a[1]*b[2]-a[2]*b[1] + Out=c(Tmp1,Tmp2,Tmp3) + } + else + { + Out=a[1]*b[2]-a[2]*b[1] + } + return(Out) +} + +Datalength<-function(Data) +{ + if(length(Data)==0) return(0) + if(mode(Data)=="numeric") return(Nrow(Data)) + if(mode(Data)=="character") return(nchar(Data)) + if(mode(Data)=="list") return(length(Data)) +} + +Crossprod<- function (a,b){ # 17.12.22 + if(length(a)==3){ + Tmp1=a[2]*b[3]-a[3]*b[2] + Tmp2=a[3]*b[1]-a[1]*b[3] + Tmp3=a[1]*b[2]-a[2]*b[1] + Out=c(Tmp1,Tmp2,Tmp3) + }else{ + Out=a[1]*b[2]-a[2]*b[1] + } +} + +Dotprod<-function(a,b){ # 18.02.05 + nn=min(length(a),length(b)) + out=0 + for(jj in Looprange(1,nn)){ + out=out+a[jj]*b[jj] + } + return(out) +} + +Dist<- function(...) # 17.09.17 +{ + varargin<- list(...) + a=varargin[[1]] + if(length(varargin)==1){ + tmp=sqrt(Dotprod(a,a)) + return(as.vector(tmp)) + } + else{ + b=varargin[[2]] + tmp=sqrt(Dotprod(b-a,b-a)) + retun(as.vector(tmp)) + } +} + +Member<-function(A,L) +{ + N<-length(L); + if(length(N)==0) return(FALSE) + for (I in 1:N) + { + if(class(L)=="list") + { + Tmp<-L[[I]] + } + else + { + Tmp<-L[I] + } + if(mode(A)=="numeric") + { + if(Norm(A-Tmp)==0) return(TRUE) + } + else + { + if(A==Tmp) return(TRUE) + } + } + return(FALSE) +} + +Norm<-function(V) +{ + Tmp=Dotprod(V,V) #18.02.09 +# Tmp<-as.vector(V); +# Tmp<-crossprod(Tmp,Tmp) + Tmp<-sqrt(Tmp) +# as.numeric(Tmp) +} + +Ncol<-function(P) +{ + if(class(P)=="matrix") return(ncol(P)) + else return(length(P)) +} + +Nrow<-function(P) +{ + if(length(P)==0) return(0) + if(class(P)=="matrix") return(nrow(P)) + else return(1) +} + +Looprange<- function(a,b) +{ +if(a<=b) return(a:b) +return(c()) +} + +Stripblanks<- function(Ch){ + Tmp<- gsub(" ","",Ch,fixed=TRUE) + return(Tmp) +} + +Quicksort<- function(seqL,key){ #18.02.01 + if(length(seqL)<2){ + out=seqL + }else{ + tmp1=Op(1,seqL) + tmp2=Op(2,seqL) + if(Op(key,tmp1)>=Op(key,tmp2)){ + pivot = tmp1 + }else{ + pivot=tmp2 + } + left = list() + right = list() + for(ii in 1:length(seqL)){ + tmp=Op(ii,seqL) + if(Op(key,tmp)< Op(key,pivot)){ + left=c(left,list(tmp)) + }else{ + right=c(right,list(tmp)) + } + } + left = Quicksort(left,key) + right = Quicksort(right,key) + out=c(left,right) + } + return(out) +} + +Derivative<- function(...) +{ + varargin<- list(...) + Nargs<- length(varargin) + Fstr<- varargin[[1]] + Vstr<- varargin[[2]] + NvaL<- length(Vstr) + Flg<- 0 + if(Nargs>=3){ + VaL<- varargin[[3]] + Flg<- 1 + } + Str<- paste("deriv(~",Fstr,",c('",Vstr[1],"'",sep="") + for(J in Looprange(2,NvaL)){ + Str<- paste(Str,",'",Vstr[J],"'",sep="") + } + Str<- paste(Str,")",sep="") + if(NvaL<=3){ + Str<- paste(Str,",func=TRUE)",sep="") + } + else{ + Str<- paste(Str,")",sep="") + } + f<- eval(parse(text=Str)) + if(Flg==1){ + if(NvaL<=3){ + if(NvaL==1){V<- f(VaL[1])} + if(NvaL==2){V<- f(VaL[1],VaL[2])} + if(NvaL==3){V<- f(VaL[1],VaL[2],VaL[3])} + } + else{ + for(J in 1:NvaL){ + Tmp<- paste(Vstr[J],'<-',as.character(VaL[J])) + eval(parse(text=Tmp)) + } + V<- eval(f) + } + Out<- attr(V,'gradient') + Out<- Out[1,] + } + else{ + Out<- f + } + return(Out) +} + +Diff<- function(...){ #18.02.04 + varargin=list(...) + Nargs=length(varargin) + fun=varargin[[1]] + withvar=varargin[[2]] + tmp=paste("f<- expression(",fun,")",sep="") + eval(parse(text=tmp)) + nn=nchar(withvar) + for(jj in Looprange(1,nn)){ + tmp=substring(withvar,jj,jj) + f=D(f,tmp) + } + var=c() + val="" + for(jj in Looprange(3,Nargs)){ + tmp=strsplit(varargin[[jj]],"=") + var=c(var,tmp[[1]][1]) + val=paste(val,tmp[[1]][2],",",sep="") + } + if(Length(val)>1){ + val=substring(val,1,Length(val)-1) + f=deriv(f,var,func=TRUE) + tmp=paste("out=f(",val,")",sep="") + out=eval(parse(text=tmp)) + return(out[1]) + }else{ + return(f) + } +} + +Funvalue<- function(...){ + varargin=list(...) + Nargs=length(varargin) + df=varargin[[1]] + var=c() + val="" + for(jj in Looprange(2,Nargs)){ + tmp=strsplit(varargin[[jj]],"=") + var=c(var,tmp[[1]][1]) + val=paste(val,tmp[[1]][2],",",sep="") + } + val=substring(val,1,Length(val)-1) + dfun=deriv(df,var,func=TRUE) + tmp=paste("out=dfun(",val,")",sep="") + eval(parse(text=tmp)) + return(out[1]) +} + +Integrate<- function(...) +{ + varargin<- list(...) + Nargs<- length(varargin) + Fstr<- varargin[[1]] + Vstr<- varargin[[2]] + IntvL<- varargin[[3]] + Str<- 'Tmpfun<- function(' + Str<- paste(Str,Vstr,'){',sep='') + Str<- paste(Str,Fstr,'}',sep='') + eval(parse(text=Str)) + Tmpfunv<- function(x){sapply(x,Tmpfun)} + Out<- 0 + for (J in 1:(length(IntvL)-1)){ + Tmp<- integrate(Tmpfunv,IntvL[J],IntvL[J+1]) + Out<- Out+Tmp[[1]] + } + return(Out) +} + +#-------------------------------------- + +######################### + +Anglemark<- function(...) +{ + varargin<- list(...) + Nargs<- length(varargin) + Eps<- 10^(-3) + PA<- varargin[[1]] + PB<- varargin[[2]] + PC=varargin[[3]] + r <- 0.5 + if(Nargs>=4){ + r<- varargin[[4]]*r + } + Out=c() + if(r>min(Norm(PA-PB),Norm(PC-PB))){ + return(Out) + } + Cir<- Circledata(c(PB,r)) #17.11.29 + Tmp<- IntersectcrvsPp(Cir,Listplot(PA,PB)) + P1<- Op(2,Op(1,Tmp)) + Tmp<- IntersectcrvsPp(Cir,Listplot(PC,PB)) + P2<- Op(2,Op(1,Tmp)) + if(abs(P1-P2)<Eps){ + Out<-c() + return(Out) + } + if(P1<P2-Eps){ + Out<- Partcrv(P1,P2,Cir) + } + else{ + Tmp<- Numptcrv(Cir) + Tmp1<- Partcrv(P1,Tmp,Cir) + Tmp2<- Partcrv(1,P2,Cir) + Out<- Joincrvs(Tmp1,Tmp2) + } +} + +############################################## + +Arrowdata<- function(...) +{ + varargin<- list(...) + Nargs<- length(varargin) + P<- varargin[[1]] + Q<- varargin[[2]] + R<- Q + Futosa<- YaThick + Ookisa<- YaSize + Thickness<- 1 + Hiraki<- YaAngle + Yapos<- YaPosition + Position<- 1 + Str<- YaStyle + Flg<- 0 + for (I in Looprange(3,Nargs)){ + Tmp<- varargin[[I]] + if(mode(Tmp)=="numeric"){ + if(length(Tmp)>1){ + R<- Tmp + } + else{ + if(Flg==0){ + Ookisa<- Ookisa*Tmp + } + if(Flg==1){ + if(Tmp<5){ + Hiraki<- Tmp*Hiraki + } + else{ + Hiraki<- Tmp + } + } + if(Flg==2){ + R<- P+Tmp*(Q-P) + } + else{ + R<- P+Yapos*(Q-P) + } + if(Flg==3){ + Futosa<- Tmp + } + Flg<- Flg+1 + } + } + if(mode(Tmp)=="character"){ + Tmp<- grep("=", Tmp) + if(length(Tmp)>0){ + eval(parse(text=Tmp)) + Futosa<- Futosa*Thickness + R<- P+Position*(Q-P) + } + else{ + Str<- Tmp + } + } + } + Tmp1<- Listplot(c(P,Q)) + Tmp2<- Arrowheaddata(R,Q-P,Ookisa,Hiraki,Futosa,Str) + Out<- Joingraphics(Tmp1,Tmp2) +} + +###################################### + +# 2013.11.13 No Intersect debugged + +Arrowhead<-function(...) +{ ## Scaling is implemented + ## 12.01.08 Kirikomi + varargin<-list(...) + Nargs<-length(varargin) + P<-varargin[[1]] + Houkou<-varargin[[2]] + Ookisa<-0.2*YaSize + Hiraki<-YaAngle + Futosa<-0.5*YaThick + Cut<- 0 + Str<-YaStyle + Flg<- 0 + for (I in Looprange(3,Nargs)){ + Tmp<-varargin[[I]] + if(is.character(Tmp)){ + Equal<- grep("=",Tmp,fixed=TRUE) # 12.01.07 from + if(length(Equal)>0){ + Tmp1<- strsplit(Tmp,"=",fixed=TRUE) + Tmp2<- Tmp1[[1]] + if(Tmp2[1]=="Cut" || Tmp2[1]=="cut"){ + Tmp<- paste("Cut=",Tmp2[2],sep="") + eval(parse(text=Tmp)) + } + }else{ + Str<- Tmp + } # 12.01.07 upto + } + if(is.numeric(Tmp) && length(Tmp)==1){ + if(Flg==0) Ookisa<-Ookisa*Tmp + if(Flg==1){ + if(Tmp<5) Hiraki<-Tmp*Hiraki + else Hiraki<-Tmp + } + if(Flg==2) Futosa<-Tmp + Flg<-Flg+1 + } + } + Ookisa<-1000/2.54/MilliIn*Ookisa + Theta<-Hiraki*pi/180 + if(Nrow(Houkou)>1){ + P<- Doscaling(P) + Houkou<- Doscaling(Houkou) + Tmp<-Nearestpt(P,Houkou) + A<-Tmp[[1]] + I<-floor(Tmp[[2]]) + G<-Circledata(c(P,Ookisa*cos(Theta)),N=10) #17.11.29 + Flg<- 0 # 13.11.13 + JL<-seq(I,1,by=-1) + for (J in JL){ + B<-Ptcrv(J,Houkou) + Tmp<-IntersectcrvsPp(Listplot(list(A,B)),G) + if(length(Tmp)>0){ + Flg<- 1 + break + } + A<-B + } + if(Flg==0){ # 13.11.13 + print("Arrowhead may be too large (no intersect)") + return(P) + } + Houkou<-P-Op(1,Tmp[[1]]) + Houkou<- Unscaling(Houkou) + P<- Unscaling(P) + } + P<- Doscaling(P) + Houkou<- Doscaling(Houkou) + Ev<--1/Norm(Houkou)*Houkou + Nv<-c(-Ev[2],Ev[1]) + if(length(grep("c",Str))>0){ + P<-P-0.5*Ookisa*cos(Theta)*Ev + } + if(length(grep("b",Str))>0){ + P<-P-Ookisa*cos(Theta)*Ev + } + A<-P+Ookisa*cos(Theta)*Ev+Ookisa*sin(Theta)*Nv + B<-P+Ookisa*cos(Theta)*Ev-Ookisa*sin(Theta)*Nv + if(length(grep("l",Str))>0){ + Tmp<-Listplot(list(A,P,B)) + Tmp1<- Unscaling(Tmp) + Drwline(Tmp1,Futosa) + } + else{ + C<- P+(1-Cut)*((A+B)/2-P) # 12.01.07 + Tmp<- Listplot(list(A,P,B,C,A)) # 12.01.07 + Tmp1<- Unscaling(Tmp) + Shade(Tmp1) + Tmp=Listplot(c(A,P,B,C,A,P)) # 15.6.20 + Tmp1=Unscaling(Tmp) + Drwline(Tmp1,0.1) # 15.06.11, 15.06.14 + } +} + +############################################ + +# 2013.11.13 No intersect debugged + +Arrowheaddata<- function(...) +{ ## Scaling is implemented + varargin<- list(...) + Nargs<- length(varargin) + P<- varargin[[1]] + Houkou<- varargin[[2]] + Ookisa<- 0.2*YaSize + Hiraki<- YaAngle + Futosa<- 0 + Thickness<- 1 + Str<- YaStyle + Flg<- 0 + for (I in Looprange(3,Nargs)){ + Tmp<-varargin[[I]] + if(mode(Tmp)=="character"){ + Tmp1<-grep("=",Tmp) + if(length(Tmp1)>0){ + eval(parse(text=Tmp)) + Futosa<- Thickness + } + else{ + Str<- Tmp + } + } + if(mode(Tmp)=="numeric" && length(Tmp)==1){ + if(Flg==0) Ookisa<-Ookisa*Tmp + if(Flg==1){ + if(Tmp<5) Hiraki<-Tmp*Hiraki + else Hiraki<-Tmp + } + if(Flg==2) Futosa<-Tmp + Flg<-Flg+1 + } + } + Theta<- Hiraki*pi/180 + if(Nrow(Houkou)>1){ + P<- Doscaling(P) + Houkou<- Doscaling(Houkou) + Tmp<-Nearestpt(P,Houkou) + A<-Tmp[[1]] + I<-floor(Tmp[[2]]) + G<-Circledata(c(P,Ookisa*cos(Theta)),N=10) #17.11.29 + Flg<- 0 # 13.11.13 + JL<-seq(I,1,by=-1) + for (J in JL){ + B<- Ptcrv(J,Houkou) + Tmp<- IntersectcrvsPp(Listplot(list(A,B)),G) + if(length(Tmp)>0){ + Flg<- 1 + break + } + A<-B + } + if(Flg==0){ # 13.11.13 + print("Arrowhead may be too large (no intersect)") + return(P) + } + Houkou<-P-Op(1,Tmp[[1]]) + Houkou<- Unscaling(Houkou) + P<- Unscaling(P) + } + P<- Doscaling(P) + Houkou<- Doscaling(Houkou) + Ev<- -1/Norm(Houkou)*Houkou + Nv<- c(-Ev[2],Ev[1]) + if(length(grep("c",Str))>0){ + P<-P-0.5*Ookisa*cos(Theta)*Ev + } + if(length(grep("b",Str))>0){ + P<-P-Ookisa*cos(Theta)*Ev + } + A<-P+Ookisa*cos(Theta)*Ev+Ookisa*sin(Theta)*Nv + B<-P+Ookisa*cos(Theta)*Ev-Ookisa*sin(Theta)*Nv + Tmp<- Listplot(A,P,B) + Out<- Unscaling(Tmp) + return(Out) +} + +########################################## + +Arrowline<- function(...) +{ # 12.01.07 kirikomi + varargin<- list(...) + Nargs<- length(varargin) + P<- varargin[[1]] + Q<- varargin[[2]] + Futosa<- YaThick + Ookisa<- YaSize + Hiraki<- YaAngle + Yapos<- YaPosition + Cutstr<- "Cut=0" + Str<- YaStyle + Flg<- 0 + for (I in Looprange(3,Nargs)){ + Tmp<- varargin[[I]] + if(is.character(Tmp)){ + Equal<- grep("=",Tmp,fixed=TRUE) # 12.01.07 from + if(length(Equal)>0){ + Tmp1<- strsplit(Tmp,"=") + Tmp2<- Tmp1[[1]] + if(Tmp2[1]=="Cut" || Tmp2[1]=="cut"){ + Tmp<- paste("Cut=", Tmp2[2],sep="") + Cutstr<- Tmp + } + } + else{ + Str<- Tmp + } # 12.01.07 upto + } + if(is.numeric(Tmp) && length(Tmp)==1){ + if(Flg==0) Ookisa<- Ookisa*Tmp + if(Flg==1){ + if(Tmp<5) Hiraki<- Tmp*Hiraki + else Hiraki<- Tmp + } + if(Flg==2) Yapos<- Tmp + if(Flg==3) Futosa<- Tmp + Flg<- Flg+1 + } + } + R<- P+Yapos*(Q-P) + Tmp=Q-Unscaling(0.2*Ookisa/2*(Q-P)/Norm(Q-P)) # 15.10.24 + Drwline(Listplot(c(P,Tmp)),Futosa) + Arrowhead(R,Q-P,Ookisa,Hiraki,Futosa,Cutstr,Str) +} + +######################################### + +Assign<- function(...) +{ + varargin<- list(...) + Nargs<- length(varargin) + if(Nargs==0){ + ASSIGNLIST<<- list("`",Prime()) + Out<- ASSIGNLIST + return() +# return("Assign reset done"); + } + L<- list("`","'") + if(Nargs%%2==0){ + L<- Mixjoin(L,varargin) + ASSIGNLIST<<- L + Out<- L + return() +# return("Assign set done"); + } + if(Nargs==1){ + Fnstr<- varargin[[1]] + if(nchar(Fnstr)==0){ # case of "" + L<- ASSIGNLIST + Out<- c() + for (I in seq(1,length(L),by=2)){ + Tmp1<- L[[I]] + Tmp2<- L[[I+1]] + if(length(Tmp2)==1){ + Tmp3<- as.character(Tmp2) + } + else{ + if(mode(Tmp2)=="character"){ + Tmp3<- Tmp2 + } + else if(mode(Tmp2)=="list"){ + Tmp3<- makeliststr(Tmp2) + } + else if(mode(Tmp2)=="numeric"){ + Tmp3<- "c(" + for (J in Looprange(1,length(Tmp2))){ + Tmp3<- paste(Tmp3,as.character(Tmp2[J]),sep="") + if(J<length(Tmp2)){ + Tmp3<- paste(Tmp3,",",sep="") + } + } + Tmp3<- paste(Tmp3,")",sep="") + if(class(Tmp2)=="matrix"){ + Nr<- as.character(nrow(Tmp2)) + Tmp3<- paste("matrix(",Tmp3,"nrow=",Nr,")",sep="") + } + } + } + Tmp<- paste(Tmp1,"=",Tmp3,sep="") + Out<- c(Out,Tmp) + } + return(Out); + } + if(substr(Fnstr,1,1)=="?"){ + Fnstr<- substr(Fnstr,2,nchar(Fnstr)) + for (I in seq(1,length(ASSIGNLIST),by=2)){ + Tmp<- ASSIGNLIST[[I]] + if(Tmp==Fnstr){ + Out<- Mixjoin(list(I),ASSIGNLIST[I+1]) + return(Out) + } + } + Out<- "Not found" + return(Out); + } + L<- ASSIGNLIST + } + else{ + if(mode(varargin[[2]])=="numeric"){ + Fnstr<- varargin[[Nargs]] + for (I in Looprange(1,Nargs-1)){ + L[[I]]=varargin[[I]] + } + } + else{ + Fnstr<- varargin[[1]] + for (I in Looprange(2,Nargs)){ + L[[I-1]]<- varargin[[I]] + } + } + } + for (I in seq(1,length(L),by=2)){ + Vname<- L[[I]] + Val<- L[[I+1]] + if(mode(Val)=="numeric"){ + if(Nrow(Val)==1){ + for (K in Looprange(1,length(Val))){ + Tmp<- paste(Vname,"[", as.character(K),"]",sep="") + if(mode(Val[K])=="numeric"){ + Tmp1<- paste("(",as.character(Val[K]),")",sep="") + } + else{ + Tmp1<- Val[K] + } + Fnstr<- gsub(Tmp,Tmp1,Fnstr,fixed=TRUE) + } + } + else{ + for (J in Looprange(1,Nrow(Val))){ + for (K in Looprange(1,Ncol(Val))){ + Tmp<- paste(Vname,"(",as.character(J),",",as.character(K),")",sep="") + if(mode(Val[J,K])=="numeric"){ + Tmp1<- paste("(",as.character(Val[J,K]),")",sep="") + } + else{ + Tmp1<- Val[J,K] + } + Fnstr<- gsub(Tmp,Tmp1,Fnstr,fixed=TRUE) + } + } + } + if(length(Val)==1){ + Rep<- as.character(Val) + } + else{ + Rep<-"" + if(class(Val)=="matrix"){ + Rep<- "matrix(" + } + Rep<- paste(Rep,"c(",sep="") + for (J in Looprange(1,length(Val))){ + Rep<- paste(Rep,as.character(Val[J]),sep="") + if(J<length(Val)){ + Rep<- paste(Rep,",",sep="") + } + else{ + Rep<- paste(Rep,")",sep="") + } + } + if(class(Val)=="matrix"){ + Rep<- paste(Rep,",nrow=",as.character(nrow(Val)),")",sep="") + } + } + Tmp1<- paste("(",Rep,")",sep="") + } + if(mode(Val)=="character"){ + Tmp1<- Val + } + if(mode(Val)=="list"){ + Tmp1<- Makeliststr(Val) + } + Fnstr<- gsub(Vname,Tmp1,Fnstr,fixed=TRUE) # 10.11.20 + } + return(Fnstr) +} + +######################################### + +Assignadd<- function(...) +{ + varargin<- list(...) + L<- ASSIGNLIST + L<- Mixjoin(L,varargin) + ASSIGNLIST<<- L +# return("assign add done"); #17.09.17 +} + +######################################### + +Assignrep<- function(...) +{ + varargin<- list(...) + Nargs<- length(varargin) + L<- ASSIGNLIST + for (I in seq(1,Nargs,by=2)){ + Vname<- varargin[[I]] + Val<- varargin[[I+1]] + Tmp1<- paste("?",Vname,sep="") + Tmp<- Assign(Tmp) + if(mode(Tmp)=="character"){ + next + } + I<- Tmp[[1]] + L<- Mixjoin(L,list(Val)) + } + ASSIGNLIST<<- L +} + +######################################### + + Assignset<- function(...) +{ + Assign(...) +} + +######################################### + +Beginpicture<-function(ul) +{ ## Scaling is implemented + Tmp<- Doscaling(c(XMIN,YMIN)) + Xm<- Tmp[1] + Ym<- Tmp[2] + Tmp<- Doscaling(c(XMAX,YMAX)) + XM<- Tmp[1] + YM<- Tmp[2] + Dx<- XM-Xm + Dy<- YM-Ym + Sym<-".0123456789 +-*/" + SL<-Sym + OL<-"+-*/" + if(ul!=""){ + ULEN<<-ul; + } + Is<-1; + VL<-""; + Ucode<-ULEN + for (I in Looprange(1,nchar(Ucode))){ + C<-substring(Ucode,I,I); + if(length(grep(C,SL))>0){ + if(length(grep(C,OL))>0){ + Tmp<-substring(Ucode,Is,I-1); + Str<-paste(VL,Tmp,C,sep="") + VL<-Str + Is<-I+1; + } + } + else{ + Unit<-substring(Ucode,I,I+1) + Str<-substring(Ucode,Is,I-1) + VL<-paste(VL,Str,sep="") + break; + } + } + Valu<-eval(parse(text=VL)) + Str<-as.character(Valu); + ULEN<<- paste(Str,Unit,sep="") + if(Unit=="cm") MilliIn<<-1000/2.54*Valu + if(Unit=="mm") MilliIn<<-1000/2.54*Valu/10 + if(Unit=="in") MilliIn<<-1000*Valu + if(Unit=="pt") MilliIn<<-1000/72.27*Valu + if(Unit=="pc") MilliIn<<-1000/6.022*Valu + if(Unit=="bp") MilliIn<<-1000/72*Valu + if(Unit=="dd2") MilliIn<<-1000/1238/1157/72.27*Valu + if(Unit=="cc") MilliIn<<-1000/1238/1157/72.27*12*Valu; + if(Unit=="sp") MilliIn<<-1000/72.27/65536*Valu/10 + MARKLEN<<- MARKLENNow*1000/2.54/MilliIn; + Str<-paste("{\\unitlength=",ULEN,"%\n",sep="") + cat(Str,file=Wfile,append=TRUE) + cat("\\begin{picture}%\n",file=Wfile,append=TRUE) + Str<-"(" + Tmp<-as.character(round(Dx,digits=6)) + Str<-paste(Str,Tmp,",",sep="") + Tmp<-as.character(round(Dy,digits=6)) + Str<-paste(Str,Tmp,")(",sep="") + Tmp<-as.character(round(Xm,digits=6)) + Str<-paste(Str,Tmp,",",sep="") + Tmp<-as.character(round(Ym,digits=6)) + Str<-paste(Str,Tmp,")%\n",sep="") + cat(Str,file=Wfile,append=TRUE) + Str<-paste("\\special{pn ",as.character(PenThickInit),"}%\n",sep="") + cat(Str,file=Wfile,append=TRUE) + cat("%\n",file=Wfile,append=TRUE) +} + +################################################# + +Bowdata<- function(...) #17.09.17 +{ + varargin <- list(...) + Nargs <- length(varargin) + PA <- varargin[[1]] + PB <- varargin[[2]] + Cut <- 0 + D <- 1/2*Norm(PB-PA) + if(Nargs>=3) { + H <- varargin[[3]]*D*0.2 + } + else { + H <- D*0.2 + } + H <- min(H,D) + if(Nargs>=4){ + Cut <- varargin[[4]] + } + Ydata <- MakeBowdata(PA,PB,H) + C <- Op(1,Ydata) + r <- Op(2,Ydata) + R1 <- Op(3,Ydata) + R2 <- Op(4,Ydata) + Rng <- paste("R=c(",as.character(R1),",",as.character(R2),")",sep="") + Theta <- (R1+R2)*0.5 + BOWMIDDLE <<- list(c(C[1]+r*cos(Theta),C[2]+r*sin(Theta)),Theta) + M <- Op(1,BOWMIDDLE) + ThetaM <- Op(2,BOWMIDDLE) + BOWSTART <<- PA + BOWEND <<- PB + if(Cut==0){ + Pd<- Circledata(c(C,r),Rng) + } + else{ + Alpha <- R1; Beta <- ThetaM-Cut/(2*r) + Rng <- paste("Rng=c(",as.character(Alpha),",",as.character(Beta),")",sep="") + Pd <- Circledata(c(C,r),Rng) + Alpha <- ThetaM+Cut/(2*r); Beta <- R2 + Rng <- paste("R=c(",as.character(Alpha),",",as.character(Beta),")",sep="") + Tmp <- Circledata(c(C,r),Rng) + Pd <- Appendrow(Pd,c(Inf,Inf),Tmp) + } +} + +Bowmiddle <- function(...) +{ + varargin <- list(...) + Nargs <- length(varargin) + if( Nargs==0) { + M <- BOWMIDDLE + return(M) + } + if(Nargs==1) { + Bdata <- varargin[[1]] + A <- Bdata[1,] + Dind <- Dataindex(Bdata) + Dc <- Nrow(Dind) + Tmp <- Dind[Dc,2] + B <- Bdata[Tmp,] + if(Dc==1) { + Tmp1 <- round(Tmp/2) + } + else { + Tmp1 <- Dind[1,2] + } + D <- Bdata[Tmp1,] + B <- B-A + D <- D-A + Tmp1 <- B[1]*D[2]-D[1]*B[2] + Tmp2 <- (Norm(B)^2*D[2]-B[2]*Norm(D)^2)/2 + Tmp3 <- -(Norm(B)^2*D[1]-B[1]*Norm(D)^2)/2 + C <- c(Tmp2,Tmp3)/Tmp1+A + R <- Norm(C-A) + B <- B+A + V <- (A+B)/2-C + V <- V/Norm(V) + M <- C+R*V + } + else { + A <- varargin[[1]]; B <- varargin[[2]] + D <- 1/2*Norm(B-A) + H <- 0.2*D; + if(length(varargin)>=3) { + Tmp <- varargin[[3]] + H <- Tmp*D*0.2 + } + H <- min(H,D) + Ydata <- MakeBowdata(A,B,H) + C <- Op(1,Ydata) + R <- Op(2,Ydata) + T <- (Op(3,Ydata)+Op(4,Ydata))/2 + P <- C+R*c(cos(T),sin(T)) + #M <- list(P,T) + M <- P + } + return(M) +} + +########################## +# 13.12.19 small movement supported + +Bowname<- function(...) +{ + varargin <- list(...) + Nargs <- length(varargin) + Siki <- varargin[[Nargs]] + Nargs<- Nargs-1 + Dr<- "c" + if(Nargs>=1){ + Tmp<- varargin[[Nargs]] + if(is.character(Tmp)){ + Dr<- Tmp + Nargs<- Nargs-1 + } + } + if(Nargs==0){ + Siki <- varargin[[1]] + P <- Op(1,BOWMIDDLE) + } + else if(Nargs==1){ + Bdata <- varargin[[1]] + P <- Bowmiddle(Bdata) + } + else{ + A <- varargin[[1]]; B <- varargin[[2]] + D <- 1/2*Norm(B-A) + Tmp <- varargin[[3]] + if(is.character(Tmp)){ + H <- D*0.2 + } + else { + H <- Tmp*D*0.2 + } + H <- min(H,D) + Ydata <- MakeBowdata(A,B,H) + Tmp <- Bowmiddle(Ydata) + P <- Op(1,Tmp) + } + Expr(P,Dr,Siki) +} + +########################## +# 13.12.19 small movement supported +# A,B, ... no longer supported + +Bownamerot <- function(...) +{ + varargin <- list(...) + Nargs <- length(varargin) + Eps <- 10^(-6) + Flg <- 1 + Tmp <- varargin[[Nargs]] + if(is.numeric(Tmp) && length(Tmp)==1 && Tmp<0){ + Flg <- Tmp + Nargs <- Nargs-1 + } + Siki <- varargin[[Nargs]] + Nargs<- Nargs-1 + Dr<- "c" + if(Nargs>=1){ + Tmp<- varargin[[Nargs]] + if(is.character(Tmp)){ + Dr<- Tmp + Nargs<- Nargs-1 + } + } + if(Nargs==0) { + P <- Op(1,BOWMIDDLE) + A <- BOWSTART + B <- BOWEND + } + else{ + Bdata<- varargin[[1]] + P<- Bowmiddle(Bdata) + A=Bdata[1,] + B=Bdata[nrow(Bdata),] + Tm<- 0; Tv<- 0 + if(Nargs>1){ + Tm<- varargin[[2]] + if(Nargs>2){ + Tv<- varargin[[3]] + } + } + } +# else if(Nargs==2) { +# Bdata <- varargin[[1]] +# P <- Bowmiddle(Bdata) +# A <- Bdata[1,] +# B <- Bdata[Nrow(Bdata),] +# Siki <- varargin[[2]] +# } +# else { +# A <- varargin[[1]]; B <- varargin[[2]] +# D <- 1/2*Norm(B-A) +# Tmp <- varargin[[3]] +# if(mode(Tmp)=="character") { +# H <- 0.2*D; Siki <- Tmp +# } +# else { +# H <- Tmp*D*0.2; Siki <- varargin[[4]] +# } +# H <- min(H,D) +# Ydata <- MakeBowdata(A,B,H) +# C <- Op(1,Ydata) +# R <- Op(2,Ydata) +# T <- (Op(3,Ydata)+Op(4,Ydata))/2 +# P <- C+R*c(cos(T),sin(T)) +# } + if(A[1]>B[1]+Eps){ + Tmp <- A + A <- B + B <- Tmp + } + if(Flg>0) { + Tmp <- B-A + } + else{ + Tmp <- A-B + } + Exprrot(P,Tmp,Tm,Tv,Siki) +} + +CalcHeight<-function(Hoko,Moji) +{ + D<-0 + H<-substring(Hoko,1,1) + Tmp<-paste("\\settoheight{\\Height}{",Moji,"}",sep="") + Str<-c(Tmp) + Tmp=paste("\\settodepth{\\Depth}{",Moji,"}",sep="") + Str<-c(Str,Tmp) + if(H=="n") Str<-c(Str,"\\setlength{\\Height}{\\Depth}") + if(H=="s") Str<-c(Str,"\\setlength{\\Height}{-\\Height}") + if(H=="c") + { + Str<-c(Str,"\\setlength{\\Height}{-0.5\\Height}") + Str<-c(Str,"\\setlength{\\Depth}{0.5\\Depth}") + Str<-c(Str,"\\addtolength{\\Height}{\\Depth}") + } + for (I in 1:length(Str)) cat(Str[I],file=Wfile,append=TRUE) + cat("%\n",file=Wfile,append=TRUE) +} + +######################### + +CalcWidth<-function(Hoko,Moji) +{ + D<-0; + H<-substring(Hoko,2,2) + if(H=="e") D<-0 + if(H=="w") D<--1.0 + if(H=="c") D<--0.5 + Str1<-paste("\\settowidth{\\Width}{",Moji,"}",sep="") + Tmp<-as.character(D) + Str2<-paste("\\setlength{\\Width}{",Tmp,"\\Width}",sep="") + cat(Str1,file=Wfile,append=TRUE) + cat(Str2,file=Wfile,append=TRUE) + cat("%\n",file=Wfile,append=TRUE) +} + +######################### +# 17.09.17 +# 17.09.24 + +Circledata<- function(...){ + varargin<- list(...) + Nargs<- length(varargin) + Cr<- varargin[[1]] + C=Cr[1:2] + if(length(Cr)==4){ + ra=Norm(C-Cr[3:4]) + Nop=2 + } + else{ + ra=Cr[3] + Nop=2 + } + R=c(0,2*pi) + N=50 + for (I in Looprange(Nop,Nargs)){ + Tmp<- varargin[[I]] + if(is.character(Tmp)){ + Tmp1=regexpr("=",Tmp) #17.09.24from + Tmp2=substring(Tmp,Tmp1+1,nchar(Tmp)) + Tmp1=substring(Tmp,1,Tmp1) + Tmp1=gsub("NUM", "N", toupper(Tmp1)) + Tmp1=gsub("RNG", "R", Tmp1) + Tmp=paste(Tmp1,Tmp2,sep="") #17.09.24upto + eval(parse(text=Tmp)) + } + } + Dt<- (R[2]-R[1])/N + T <- seq(R[1],R[2],by=Dt) + X <- C[1]+ra*cos(T) + Y <- C[2]+ra*sin(T) + XY<- c(X,Y) + P<- matrix(XY,ncol=2) + return(P) +} + +######################### +# 13.12.19 + +Closefile<-function(...) +{ + varargin<- list(...) + if(length(varargin)>=1){ + Pa<- varargin[[1]] + if(is.character(Pa)){ + if(Pa=="1") Endpicture(1) + if(Pa=="0") Endpicture(0) + } + } + Wfile<<-"" +} + +######################### + +Closepar<- function() +{ + S<- "%\n\\end{minipage}" + cat(S,file=Wfile,append=TRUE) + Closephr() +} + + +#################################### + +Closephr<- function() +{ + cat("%\n}%\n",file=Wfile,append=TRUE) +} + +##################################### + +Dataindex<-function(P) +{ + # Inf;Inf : Terminator + Ndm<-c() + if(length(P)==0) return(Ndm) + N1<-1 + Flg<-0 + for (J in 1:Nrow(P)) + { + if(P[J,1]==Inf) + { + Ndm<-Appendrow(Ndm,c(N1,J-1)) + N1<-J+1; + if(P[N1,1]==Inf) + { + Flg<-1; + break; + } + } + } + if(Flg==0) + { + Ndm<-Appendrow(Ndm,c(N1,Nrow(P))) + } + if(class(Ndm)=="numeric") + { + Tmp<-matrix(Ndm,nrow=1) + Ndm<- Tmp + } + return(Ndm) +} + +################################ + +Dashline<- function(...) +{ + varargin<- list(...) + Nargs<- length(varargin) + Nall<- Nargs; Sen<- 1 ; Gap<- 1 + Tmp<- varargin[[Nall]] + if(mode(Tmp)=="numeric" && length(Tmp)==1 && Tmp>0){ + Tmp1<- varargin[[Nall-1]] + if(mode(Tmp1)=="numeric" && length(Tmp1)==1 && Tmp1>0){ + Sen<- Tmp1; Gap<- Tmp + Nall<- Nall-2 + } + else{ + Sen<- Tmp; Gap<- Sen + Nall<- Nall-1 + } + } + Sen<- 1000/2.54/MilliIn*Sen + Gap<- 1000/2.54/MilliIn*Gap + for (N in Looprange(1,Nall)){ + Pdata<- varargin[[N]] + if(is.numeric(Pdata)==1){ + Pdata<- list(Pdata) + } + for (II in 1:length(Pdata)){ + Figdata<- Op(II,Pdata) + Makehasen(Figdata,Sen,Gap,0) + } + } +} + +############################################## +# 17.11.27 + +Definecolor<- function(Name,Data){ + Tmp1=length(Data) + if((Tmp1<3) || (Tmp1>4)){ + cat("Size of data should be 3 or 4.") + return() + } + if(Tmp1==4){ + Tp="cmyk" + }else{ + Tp="rgb" + } + Tmp="" + for(J in 1:Tmp1){ + Tmp=paste(Tmp, as.character(Data[J]),sep="") + if(J<Tmp1){ + Tmp=paste(Tmp,",",sep="") + } + } + Tmp=paste("\\definecolor{",Name,"}{",Tp,"}{",Tmp,"}",sep="") + Texcom(Tmp) +} + +############################################## + +Diagcelldata<- function(Tb,Nc,Nr) +{ + Tmp<- Findcell(Tb,Nc,Nr) + C<- Tmp[[1]] + Dx<- Tmp[[2]] + Dy<- Tmp[[3]] + Pne<- C+c(Dx,Dy) + Pnw<- C+c(-Dx,Dy) + Psw<- C+c(-Dx,-Dy) + Pse<- C+c(Dx,-Dy) + Tmp1<- Listplot(Pnw,Pse) + Tmp2<- Listplot(Pne,Psw) + list(Tmp1,Tmp2) +} + +############################################## +# 11.01.07 + +Dividegraphics<- function(Pd) +{ + if(length(Pd)==0){ + return(Pd) + } + DtL<- Flattenlist(Pd) + OutL<- list() + for (J in 1:length(DtL)){ + Dt<- as.matrix(DtL[[J]]) + Ndm<- Dataindex(Dt) + for (I in Looprange(1,Nrow(Ndm))){ + Fd<- Dt[Ndm[I,1]:Ndm[I,2],] + OutL<- c(OutL,list(Fd)) + } + } + return(OutL) +} + +############################################## +# 13.05.03 + +Dividetable<- function(Tb) +{ + G<- Tb[[1]] + Gw<- G[[1]] + Gt<- G[Tb[[2]]] + Gy<- G[Tb[[3]]] + list(Gw,Gt,Gy) +} + +################################################ + +Doscaling<- function(G) +{ + GLg<- G + if(class(GLg)=="numeric") + { + if(LOGX==1) GLg[1]<- log(G[1], base=10) + if(LOGY==1) GLg[2]<- log(G[2], base=10) + Tmp<-c(SCALEX*GLg[1],SCALEY*GLg[2]) + return(Tmp) + } + else + { + if(LOGX==1) GLg[,1]<- log(G[,1],base=10) + if(LOGY==1) GLg[,2]<- log(G[,2],base=10) + Tmp1<-matrix(c(SCALEX,0,0,SCALEY),nrow=2) + Tmp<-GLg %*% Tmp1 + return(Tmp) + } +} + +######################################## + +Dotfilldata<- function(...) +{ ## Scaling is implemented + varargin<- list(...) + Nargs<- length(varargin) + ShaL<- list() + Eps<- 0.01 + Kakudo<- 45 + Kosa<- 0.5 + Tmp<- Doscaling(c(XMIN,YMIN)) + Xmn<- Tmp[1]; Ymn<- Tmp[2] + Tmp<- Doscaling(c(XMAX,YMAX)) + Xmx<- Tmp[1]; Ymx<- Tmp[2] + for (N in seq(Nargs,1,by=-1)){ + Tmp<- varargin[[N]] + if(Mixtype(Tmp)!=1){ + break + } + } + if(N<Nargs){ + Kosa<- varargin[[N+1]] + } +# Kosa<- min(Kosa,1) + Tmp<- 1/(2*Kosa) + Kankaku<- Tmp*0.100*1000/2.54/MilliIn + NaitenL<- varargin[[1]] + if(Mixtype(NaitenL)==1){ + NaitenL<- list(NaitenL) + } + Ns<- 2 + StartP<- Op(1,NaitenL) + if(mode(StartP)=="character"){ + StartP<- c((Xmn+Xmx)/2,(Ymn+Ymx)/2) + } + else{ + StartP<- Doscaling(StartP) + } + Tmp<- varargin[[2]] + if(Mixtype(Tmp)==1){ + StartP<- Doscaling(Tmp) + Ns<- 3 + } + Tmp<- list() + for (I in Looprange(Ns,N)){ + Tmp<- Mixjoin(Tmp,list(varargin[[I]])) + } + Bdy<- Kyoukai(Tmp) + Bdys<-list() + for (I in 1:length(Bdy)){ + Tmp1<- Bdy[[I]] + Tmp2<- Doscaling(Tmp1) + Bdys<- Mixjoin(Bdys,list(Tmp2)) + } + Bdy<- Bdys + PtnL<- list() + for (I in Looprange(1,length(NaitenL))){ + Tmp<- Op(I,NaitenL) + if(mode(Tmp)=="numeric"){ + Tmp1<- Naigai(Tmp,Bdy) + PtnL<- Mixjoin(PtnL,list(Tmp1)) + } + else{ + if(mode(Tmp)!="character"){ + return("Mode Error") + } + Ptn<- c() + for (J in Looprange(1,nchar(Tmp))){ + if(substr(Tmp,J,J)=="i"){ + Ptn<- c(Ptn,1) + } + else{ + Ptn<- c(Ptn,0) + } + } + PtnL<- Mixjoin(PtnL,list(Ptn)) + } + } + Call<- length(Bdy) + Ptn<- c(seq(0, 0, length=Call)) + if(Member(Ptn,PtnL)){ + Wn<- Doscaling(Framedata()) + Bdy<- Mixjoin(Bdy,list(Wn)) + Tmp<- list() + for (I in Looprange(1,length(PtnL))){ + Tmp1<- c(Op(I,PtnL),1) + Tmp<- Mixjoin(Tmp,list(Tmp1)) + } + PtnL<- Tmp + } + V<- c(cos(Kakudo*pi/180),sin(Kakudo*pi/180)) + Vm<- c(-sin(Kakudo*pi/180),cos(Kakudo*pi/180)) + Tmp<- Op(1,NaitenL) + if(mode(Tmp)=="numeric" && length(Tmp)==2){ + Tmp<- Doscaling(Tmp) + Delta<- Tmp-StartP + K<- trunc(Dotprod(Delta,Vm)/Kankaku) + PA<- StartP+K*Kankaku*Vm + P<- PA + Sha<- Makeshasen(PtnL,P,V,Bdy) + Sha<- Dividegraphics(Sha) + I<- 1 + while (length(Sha)>0){ + for (J in Looprange(1,length(Sha))){ + Tmp<- Op(J,Sha) + Q<- Tmp[1,] + R<- Tmp[2,] + Tmp<- Dotprod(Q-P,V)/Kankaku + K1<- ceiling(Tmp) + if(abs(K1-Tmp)<Eps) K1=K1+1 + Tmp<- Dotprod(R-P,V)/Kankaku + K2<- floor(Tmp) + if(abs(Tmp-K2)<Eps) K2=K2-1 + for (K in Looprange(K1,K2)){ + Tmp1<- Pointdata(P+K*Kankaku*V) + ShaL<- Mixjoin(ShaL, list(Tmp1)) + } + } + P<- PA+I*Kankaku*Vm + Sha<- Makeshasen(PtnL,P,V,Bdy) + Sha<- Dividegraphics(Sha) + I<- I+1 + } + P<- PA-Kankaku*Vm + Sha<- Makeshasen(PtnL,P,V,Bdy) + I<- 2 + while (length(Sha)>0){ + for (J in 1:length(Sha)){ + Tmp<- Op(J,Sha) + Q<- Tmp[1,] + R<- Tmp[2,] + Tmp<- Dotprod(Q-P,V)/Kankaku + K1<- ceiling(Tmp) + if(abs(K1-Tmp)<Eps) K1<- K1+1 + Tmp<- Dotprod(R-P,V)/Kankaku + K2<- floor(Tmp) + if(abs(Tmp-K2)<Eps) K2<- K2-1 + for (K in Looprange(K1,K2)){ + Tmp1<- Pointdata(P+K*Kankaku*V) + ShaL<- Mixjoin(ShaL, list(Tmp1)) + } + } + P<- PA-I*Kankaku*Vm + Sha<- Makeshasen(PtnL,P,V,Bdy) + I<- I+1 + } + } + else{ + Delta<- c(Xmn,Ymn)-StartP + K1<- trunc(Dotprod(Delta,Vm)/Kankaku) + Delta<- c(Xmx,Ymn)-StartP + K2<- trunc(Dotprod(Delta,Vm)/Kankaku) + Delta<- c(Xmx,Ymx)-StartP + K3<- trunc(Dotprod(Delta,Vm)/Kankaku) + Delta<- c(Xmn,Ymx)-StartP + K4<- trunc(Dotprod(Delta,Vm)/Kankaku) + IM<- max(K1,K2,K3,K4) + Im<- min(K1,K2,K3,K4) + for (I in Im:IM){ + P<- StartP+I*Kankaku*Vm + Sha<- Makeshasen(PtnL,P,V,Bdy) + Sha<- Dividegraphics(Sha) + if(length(Sha)>0){ + for (J in 1:length(Sha)){ + Tmp<- Op(J,Sha) + Q<- Tmp[1,] + R<- Tmp[2,] + Tmp<- Dotprod(Q-P,V)/Kankaku + K1<- ceiling(Tmp) + if(abs(K1-Tmp)<Eps) K1=K1+1 + Tmp<- Dotprod(R-P,V)/Kankaku + K2<- floor(Tmp) + if(abs(Tmp-K2)<Eps) K2=K2-1 + for (K in Looprange(K1,K2)){ + Tmp1<- Pointdata(P+K*Kankaku*V) + ShaL<- Mixjoin(ShaL, list(Tmp1)) + } + } + } + } + } + ShaLs<-list() + for (I in Looprange(1,length(ShaL))) + { + Tmp<- ShaL[[I]] + Tmp1<- Unscaling(Tmp) + ShaLs<- Mixjoin(ShaLs,Tmp1) + } + ShaL<- ShaLs + return(ShaL) +} + +############################################# + +Dottedline<- function(...) +{ + varargin <- list(...) + Nall <- length(varargin) + Nagasa <- 0.1 + Ookisa <- PenThick + I <- Nall + Tmp <- varargin[[I]] + while (mode(Tmp)=="numeric" && length(Tmp)==1 ) { + I <- I-1 + Tmp <- varargin[[I]] + } + if(I==Nall-1) { + Nagasa<-Nagasa*varargin[[Nall]] + Nall <- Nall-1 + } + if(I==Nall-2) { + Nagasa <- Nagasa*varargin[[Nall-1]] + Ookisa <- round(Ookisa*varargin[[Nall]]) + Nall <- Nall-2 + } + Nagasa <- 1000/2.54/MilliIn*Nagasa + for (N in 1:Nall) { + Pdata <- varargin[[N]] + if(mode(Pdata)=="numeric") { + Pdata <- list(Pdata) + } + for (II in 1:length(Pdata)) { + Clist <- MakeCurves(Op(II,Pdata)) + DinM <- Dataindex(Clist) + for (n in Looprange(1,Nrow(DinM))) { + Tmp <- DinM[n,] + Data <- Clist[Tmp[1]:Tmp[2],] + Len <- 0 + Lenlist <- c(0) + for (I in Looprange(2,Nrow(Data))) { + Len <- Len+Norm(Data[I,]-Data[I-1,]) + Lenlist <- c(Lenlist,Len) + } + Lenall <- Lenlist[length(Lenlist)] + if(Lenall==0) { + next + } + Naga <- Nagasa + Nten <- round(Lenall/Naga)+1 + if(Nten > 1) { + Seg <- Lenall/(Nten-1) + } + else { + Seg <- Lenall + } + Eps <- 10^(-6)*Seg + PPd<-c() + Hajime <- 1 + for (I in Looprange(0,Nten-1)) { + Len <- Seg*I + if(I>0) { + J <- Hajime + while( Len>=Lenlist[J]+Eps) { + J <- J+1 + } + Hajime <- J-1 + } + T <- (Len-Lenlist[Hajime])/ + (Lenlist[Hajime+1]-Lenlist[Hajime]) + P <- Data[Hajime,]+T*(Data[Hajime+1,]-Data[Hajime,]) + PPd<-Appendrow(PPd,P) + if(I==Nten-1) { + if(Norm(P-Data[1,])<Eps) { + next + } + } + } + Str<-paste("\\special{pn ", as.character(Ookisa),"}%\n",sep="") + cat(Str,file=Wfile,append=TRUE) + for (I in Looprange(1,Nrow(PPd))){ + P<- Op(I,PPd) + if(Nrow(PPd)==1){ + V<- c(1,0) + } + else if(I==1){ + Tmp<- Op(I+1,PPd)-P + V<- 1/Norm(Tmp)*Tmp + } + else if(I==Nrow(PPd)){ + Tmp<- P-Op(I-1,PPd) + V<- 1/Norm(Tmp)*Tmp + } + else{ + Tmp1<- Op(I+1,PPd)-P + Tmp2<- P-Op(I-1,PPd) + Tmp3<-1/Norm(Tmp1)*Tmp1+1/Norm(Tmp2)*Tmp2 + V<- 1/Norm(Tmp3)*Tmp3 + } + Tmp<- round(MilliIn*P[1]-1/2*Ookisa*V[1]) + X<- as.character(Tmp) + Tmp<- -round(MilliIn*P[2]-1/2*Ookisa*V[2]) + Y<- as.character(Tmp) + Str<-paste("\\special{pa ",X," ",Y,"}",sep="") + cat(Str,file=Wfile,append=TRUE) + Tmp<- round(MilliIn*P[1]+1/2*Ookisa*V[1]) + X<- as.character(Tmp) + Tmp<- -round(MilliIn*P[2]+1/2*Ookisa*V[2]) + Y<- as.character(Tmp) + Str<-paste("\\special{pa ",X," ",Y,"}",sep="") + cat(Str,file=Wfile,append=TRUE) + cat("\\special{fp}",file=Wfile,append=TRUE) + if(I%%2==0){ + cat("%\n",file=Wfile,append=TRUE) + } + } + } + } + } + Tmp<-PenThick/PenThickInit + Setpen(Tmp); +} + +########################################### + +Drwline<-function(...) +{ + varargin<-list(...) + Nall<-length(varargin) + Thick<-0 + Tmp<-varargin[[Nall]] + if(mode(Tmp)=="numeric" && length(Tmp)==1){ + Thick<-round(Tmp*PenThickInit) + Str<-paste("\\special{pn ", as.character(Thick),"}%\n",sep="") + cat(Str,file=Wfile,append=TRUE) + Nall<-Nall-1 + } + for (N in 1:Nall){ + Pdata<-varargin[[N]] + if(length(Pdata)==0) next + if(mode(Pdata)!="list") Pdata<-list(Pdata) + while(Mixtype(Pdata)==3){ # 10.07.25 + Tmp1<- list() + for(II in Looprange(1,length(Pdata))){ + Tmp1<- Mixjoin(Tmp1,Pdata[[II]]) + } + Pdata<- Tmp1 + } # 10.07.25 + for (II in Looprange(1,length(Pdata))){ + Clist<-MakeCurves(Pdata[[II]]) + DinM<-Dataindex(Clist) + for (n in Looprange(1,Nrow(DinM))){ + Tmp<-DinM[n,] + Data<-Clist[Tmp[1]:Tmp[2],] + Mojisu<-0 + for (I in Looprange(1,Nrow(Data))){ + Tmp<-Data[I,] + X<- sprintf("%5.0f",MilliIn*Tmp[1]) # 11.07.19 + Y<- sprintf("%5.0f",-MilliIn*Tmp[2]) # 11.07.19 + Str<-paste("\\special{pa ",X," ",Y,"}",sep="") + cat(Str,file=Wfile,append=TRUE) + Mojisu<-Mojisu+nchar(Str) + if(Mojisu>80){ + cat("%\n",file=Wfile,append=TRUE) + Mojisu<-0 + } + } + if(Mojisu!=0){ + cat("%\n",file=Wfile,append=TRUE) + } + cat("\\special{fp}%\n",file=Wfile,append=TRUE) + } + } + } + Str<-"%" + if(Thick>0){ + Tmp<-PenThick/PenThickInit + Setpen(Tmp) + } +} + +########################################### + +Drwpt<-function(...) +{ ## Scaling is implemented + varargin<-list(...) + Nargs<-length(varargin) + if(TenSize>TenSizeInit){ + N<- round(6*sqrt(TenSize/TenSizeInit)) + } + else{ + N<-4 + } + Tmp<- varargin[[Nargs]] + if(mode(Tmp)=="numeric"){ + if(length(Tmp)>1){ + Kosa<- 1; All<- Nargs + } + else{ + Kosa<- Tmp; All<- Nargs-1 + } + } + else if(mode(Tmp)=="list"){ + Kosa<- 1; All<- Nargs + } + CL<-c() + for (J in 0:N){ + Tmp<- TenSize*0.5*1000/2.54/MilliIn + Tmp<- Tmp*c(cos(pi/4+J*2*pi/N),sin(pi/4+J*2*pi/N)) + CL<- append(CL,Tmp) + } + CL<- matrix(CL,nrow=2) + CL<- t(CL) + for (II in Looprange(1,All)){ + MS<- varargin[[II]] + MS=Flattenlist(MS) #17.10.11 + if(mode(MS)=="numeric"){ + MS<- list(MS) + } + for (I in Looprange(1,length(MS))){ + P<- MS[[I]] + if(InWindow(P)!="i") next + P<- Doscaling(P) + PL<-c() + for (J in 0:N){ + PL<- c(PL,P+CL[J+1,]) + } + PL<-matrix(PL,nrow=2) + PL<-t(PL) + Mojisu<-0 + for (J in 1:Nrow(PL)){ + Q<- PL[J,] + X<- as.character(round(MilliIn*Q[1])) + Y<- as.character(-round(MilliIn*Q[2])) + Str<- paste("\\special{pa ",X," ",Y,"}",sep="") + cat(Str,file=Wfile,append=TRUE) + Mojisu<- Mojisu+nchar(Str) + if(Mojisu>80){ + cat("#\n",file=Wfile,append=TRUE) + } + Mojisu=0 + } + Str1<- paste("\\special{sh ",as.character(Kosa),"}",sep="") + Str2<- "\\special{fp}%\n" + cat(Str1,file=Wfile,append=TRUE) + cat(Str2,file=Wfile,append=TRUE) + } + } +} + +###################################################### + +Drwxy<-function(...) +{ + varargin<-list(...) + Nargs <- length(varargin) + Tmp<-grep("arrow", ZIKU) + if(length(Tmp)>0) + { + Arrowline(c(XMIN,GENTEN[2]),c(XMAX,GENTEN[2]),ARROWSIZE) + Arrowline(c(GENTEN[1],YMIN),c(GENTEN[1],YMAX),ARROWSIZE) + } + else + { + Drwline(Listplot(c(XMIN,GENTEN[2]),c(XMAX,GENTEN[2]))) + Drwline(Listplot(c(GENTEN[1],YMIN),c(GENTEN[1],YMAX))) + } + Letter(c(XMAX,GENTEN[2]),XPOS,XNAME) + Letter(c(GENTEN[1],YMAX),YPOS,YNAME) + Letter(GENTEN,OPOS,ONAME); +} + +########################################## +# 10.12.04 + +Enclosing<- function(...) +{ + Eps=10^(-7) # Scilab 16.12.05 + varargin<- list(...) + Nargs<- length(varargin) + P<- varargin[[1]] + if(Mixtype(P)==2){ + Tmp<- Op(1,P) + if(mode(Tmp)!="numeric" || length(Tmp)>1){ + AnsL<- EnclosingS(...) + AnsL<- Joincrvs(AnsL) # 10.12.04 + } + } + Tmp1=Op(1,AnsL) # Scilab 16.12.05from + Tmp2=Op(nrow(AnsL),AnsL) + if(Norm(Tmp2-Tmp1)>Eps){ + AnsL=Appendrow(AnsL,Tmp1) + } + return(AnsL) +} + +######################################### + +EnclosingS<- function(...) +{ + varargin<- list(...) + Nargs<- length(varargin) + AnsL<- list() + PdataL<- varargin[[1]] + Nall<-length(PdataL) + Eps<- 10^(-3) + EEps<- 0.1 + S<- c() + Flg<- 0 + for (I in Looprange(2,Nargs)){ + Tmp<- varargin[[I]] + if(mode(Tmp)=="numeric" && Nrow(Tmp)==1 && length(Tmp)>1){ + S<- Tmp + } + if(mode(Tmp)=="numeric" && length(Tmp)==1){ + if(Flg==0){ + Eps<- Tmp + Flg=Flg+1 + } + else{ + EEps<- Tmp + } + } + } + F<- Op(1,PdataL); G<- Op(Nall,PdataL) + KL<- IntersectcrvsPp(F,G) + if(length(KL)==1){ + Tmp<- Op(1,KL) + P<- Op(1,Tmp) + T1<- Op(2,Tmp) + } + if(length(KL)==0){ + if(Numptcrv(F)>Numptcrv(G)){ + Tmp<- Nearestpt(F,G) + P<- Op(1,Tmp) + T1=Op(2,Tmp) + } + else{ + Tmp<- Nearestpt(G,F) + P<- Op(3,Tmp) + T1<- Op(4,Tmp) + } + } + if(length(KL)>=2){ + if(length(S)==0){ + return("No Start Point") + } + Tmp<- Op(1,KL) + P<- Op(1,Tmp) + T1<- Op(2,Tmp) + Tmp<- Norm(P-S) + for (I in Looprange(2,length(KL))){ + Tmp1<- Op(1,Op(I,KL)) + Tmp2<- Norm(Tmp1-S) + if(Tmp2<Tmp){ + P<- Tmp1 + T1<- Op(2,Op(I,KL)) + Tmp<- Tmp2 + } + } + } + S<- P + AnsL<- list() + for (N in Looprange(1,Nall)){ + F<- Op(N,PdataL) + if(N>1) P<- Q + if(N==Nall){ + Q=S + } + else{ + Flg<- 0 + G<- Op(N+1,PdataL) + KL<- IntersectcrvsPp(G,F) + if(length(KL)==1){ + Tmp<- Op(1,KL) + Q<- Op(1,Tmp) + T3<- Op(2,Tmp) + Flg<- 10 + } + if(length(KL)==0) Flg<- 1 + if(length(KL)>=2){ # Maple bug? + Tmp1<- Op(1,Op(1,KL)) + Tmp2<- Op(1,Op(2,KL)) + Tmp<- Norm(Tmp1-Tmp2) + if(Tmp<Eps*10) Flg<- 1 + } + if(Flg==1){ + if(Numptcrv(F)>Numptcrv(G)){ + Tmp<- Nearestpt(F,G) + Q<- Op(1,Tmp) + T3<- Op(4,Tmp) + Flg<- 10 + } + else{ + Tmp<- Nearestpt(G,F) + Q<- Op(3,Tmp) + T3<- Op(2,Tmp) + Flg<- 10 + } + } + if(Flg<10){ + T2<- Inf + for (I in Looprange(1,length(KL))){ + Dt<- Op(I,KL) + Tmp1<- Op(1,Dt) + Tmp<- Op(3,Dt) + Tmp2<- Paramoncurve(Tmp1,Tmp,F) + Tmp3<- Op(2,Dt) + if(Tmp2>T1+Eps && Tmp2<T2-Eps){ + Q<- Tmp1 + T2<- Tmp2 + T3<- Tmp3 + } + } + } + } + Tmp<- Partcrv(P,Q,F) + T1<- T3 + AnsL<- Mixjoin(AnsL,list(Tmp)) + } + return(AnsL) +} + +######################################## + +Endpicture<-function(...) +{ + varargin<-list(...) + Nargs<-length(varargin) + if(Nargs==0) + { + Drwxy() + } + else + { + if(varargin[[1]]==1) Drwxy() + } + cat("\\end{picture}}%",file=Wfile,append=TRUE) +# MEMORI<<-MEMORINow*1000/2.54/MilliIn + Setunitlen("1cm") +} + +######################################### + +Execmd<- function(StrL) +{ + if(mode(StrL)=="character" && length(StrL)==1){ + StrL<- list(StrL) + } + for (I in Looprange(1,length(StrL))){ + if(!is.na(Op(I,StrL)) && nchar(Op(I,StrL))>0){ + eval(parse(text=Op(I,StrL))) + } + } +} + +######################################### + +Expr<-function(...) +{ ## Scaling is implemented + varargin<-list(...) + Nargs<-length(varargin) + Irng<-c(seq(from=1,to=Nargs,by=3)) + for (I in Irng) + { + Tmp<-varargin[[I]] + P<- Doscaling(Tmp) + X<-P[1] + Y<-P[2] + Houkou<-varargin[[I+1]] + Mojiretu<-paste("$",varargin[[I+2]],"$",sep="") + Hset<-Houkou + Vhoko<-"c" + if(length(grep("n",Hset))>0) + { + Vhoko<-"n"; Y<-Y+MEMORI + } + if(length(grep("s",Hset))>0) + { + Vhoko<-"s"; Y<-Y-MEMORI + } + Hhoko<-"c" + if(length(grep("e",Hset))>0) + { + Hhoko<-"e"; X<-X+MEMORI + } + if(length(grep("w",Hset))>0) + { + Hhoko<-"w"; X<-X-MEMORI + } + Hoko<-paste(Vhoko,Hhoko,sep="") + Suu<-"+-.0123456789" + SuuL<-Suu + J<-1; Dstr<-"" + while (J<=nchar(Houkou)) + { + Tmp<-substring(Houkou,J,J) + if(length(grep(Tmp,Suu))>0) + { + if(Dstr=="") Hk<-substring(Houkou,J-1,J-1) + Dstr<-paste(Dstr,Tmp,sep="") + } + else + { + if(Dstr!="") + { + Nmbr<-as.numeric(Dstr) + D<-Nmbr*MEMORI + if(Hk=="n") Y<-Y+D + if(Hk=="s") Y<-Y-D + if(Hk=="e") X<-X+D + if(Hk=="w") X<-X-D + Dstr<-"" + } + } + J<-J+1 + } + if(Dstr!="") + { + Nmbr<-as.numeric(Dstr) + D<-Nmbr*MEMORI; + if(Hk=="n") Y<-Y+D + if(Hk=="s") Y<-Y-D + if(Hk=="e") X<-X+D + if(Hk=="w") X<-X-D + } + CalcWidth(Hoko,Mojiretu) + CalcHeight(Hoko,Mojiretu) + cat("\\put(",file=Wfile,append=TRUE) + Tmp1<- sprintf("%7.7f",X) # 11.07.19 + Tmp2<- sprintf("%7.7f",Y) # 11.07.19 + Str<-paste(Tmp1,",",Tmp2,sep="") + cat(Str,file=Wfile,append=TRUE) + Tmp<-"){\\hspace*{\\Width}" + Str<-paste(Tmp,"\\raisebox{\\Height}{",Mojiretu,"}}%\n",sep="") + cat(Str,file=Wfile,append=TRUE) + cat("%\n",file=Wfile,append=TRUE) + } +} + +########################################## + +Exprrot<- function(...) +{ + varargin<- list(...) + P<- varargin[[1]] + V<- varargin[[2]]; N<- 3 + P<- Doscaling(P) + V<- Doscaling(V) + Tmov<- 0 + Tmp<- varargin[[N]] + if(mode(Tmp)=="numeric"){ + Tmov<- Tmp; N<- N+1 + } + Nmov<- 0 + Tmp<- varargin[[N]] + if(mode(Tmp)=="numeric"){ + Nmov<- Tmp; N<- N+1 + } + Mojiretu<- paste("$",Assign(varargin[[N]]),"$",sep="") # 2017.11.26 + Tv<- 1/Norm(V)*V + Nv<- c(-Tv[2],Tv[1]) + P<- P+MEMORI*Tmov*Tv+MEMORI*Nmov*Nv + Tmp<- acos(V[1]/Norm(V)) + Theta<- round(Tmp*180/pi) + if(V[2]>=0){ + Units<- "" + } + else{ + Units<- "units=-360," + } + Tmp<- paste("\\rotatebox[",Units,"origin=c]{",as.character(Theta),sep="") + Tmp<- paste(Tmp,"}{",Mojiretu,"}",sep="") + Letter(P,"c",Tmp) +} + +###################################################### + +Findcell<- function(...) +{ + varargin<- list(...) + Nargs<- length(varargin) + TbL<- varargin[[1]] + Ag<- varargin[[2]] + Alpha<- "-ABCDEFGHIJKLMNOPQRSTUVWXYZ" + if(mode(Ag)=="character"){ + Clm<- c() + Rstr<- "" + for (I in Looprange(1,nchar(Ag))){ + C<- substr(Ag,I,I) + C<- toupper(C) + Tmp<- strsplit(Alpha,C) + Tmp<- Tmp[[1]] + if(length(Tmp)>1){ + Tmp1<- nchar(Tmp[1]) + Clm<- c(Clm,Tmp1) + } + else{ + Rstr<- paste(Rstr,C,sep="") + } + } + Nrg<- 0 + for (I in seq(length(Clm),1,by=-1)){ + Tmp<- Clm[I] + Tmp1<- length(Clm)-I + Nrg<- Nrg+Tmp*26^Tmp1 + } + Mrg<- eval(parse(text=Rstr)) + if(Nargs>=3){ + Ag<- varargin[[3]] + Clm<- c() + Rstr<- "" + for (I in Looprange(1,nchar(Ag))){ + C<- substr(Ag,1,1) + C<- toupper(C) + Tmp<- strsplit(Alpha,C) + if(length(Tmp)>1){ + Clm<- c(Clm,Tmp+1) + } + else{ + Rstr<- paste(Rstr,C,sep="") + } + } + Nrg2<- 0 + for (I in seq(length(Clm),1,by=-1)){ + Tmp<- Clm[I] + Tmp1<- length[Clm]-I + Nrg2<- Nrg2+Tmp*26^Tmp1 + } + Nrg<- c(Nrg,Nrg2) + Tmp=eval(parse(text=Rstr)) + Mrg<- c(Mrg,Tmp) + } + } + else{ + Nrg<- varargin[[2]] + Mrg<- varargin[[3]] + } + if(length(Mrg)==1){ + m1<- Mrg; m2<- m1+1 + } + else{ + m1<- Mrg[1]; m2<- Mrg[2] # 10.12.12 + } + if(length(Nrg)==1){ + n1<- Nrg; n2<- n1+1 + } + else{ + n1<- Nrg[1]; n2<- Nrg[2] + } + n1<- n1+1; n2<- n2+1 + m1<- m1+1; m2<- m2+1 + Hind<- TbL[[2]] + Vind<- TbL[[3]] + Tmp<- TbL[[1]] + HL<- Tmp[Hind] + Tmp1<- Op(1,TbL[[4]]) + Tmp2<- Op(2,TbL[[4]]) + HL<- Mixjoin(list(Tmp1),HL,list(Tmp2)) + VL<- Tmp[Vind] + Tmp1<- Op(1,TbL[[5]]) + Tmp2<- Op(2,TbL[[5]]) + VL<- Mixjoin(list(Tmp1),VL,list(Tmp2)) + Tmp<- TbL[[6]] + Tmp1<- Listplot(c(Ptsw(Tmp),Ptnw(Tmp))) + Tmp2<- Listplot(c(Ptse(Tmp),Ptne(Tmp))) + HL<- Mixjoin(list(Tmp1),HL,list(Tmp2)) + Tmp1<- Listplot(c(Ptnw(Tmp),Ptne(Tmp))) + Tmp2<- Listplot(c(Ptsw(Tmp),Ptse(Tmp))) + VL<- Mixjoin(list(Tmp1),VL,list(Tmp2)) + Tmp<- HL[[n1]] + if(mode(Tmp)=="numeric"){ + H1<- Tmp[1,1] + } + else{ + Tmp1<- Tmp[[1]] + H1<- Tmp1[1,1] + } + Tmp<- HL[[n2]] + if(mode(Tmp)=="numeric"){ + H2<- Tmp[1,1] + } + else{ + Tmp1<- Tmp[[1]] + H2<- Tmp1[1,1] + } + Tmp<- VL[[m1]] + if(mode(Tmp)=="numeric"){ + V1<- Tmp[1,2] + } + else{ + Tmp1<- Tmp[[1]] + V1<- Tmp1[1,2] + } + Tmp<- VL[[m2]] + if(mode(Tmp)=="numeric"){ + V2<- Tmp[1,2] + } + else{ + Tmp1<- Tmp[[1]] + V2<- Tmp1[1,2] + } + Pt<- c((H1+H2)/2,(V1+V2)/2) + High<- (V1-V2)/2 + Wide<- (H2-H1)/2 + Out<- list(Pt,Wide,High) + return(Out) +} + +############################################ + +Flattenlist<- function(...){ + varargin<- list(...) + Nargs<- length(varargin) + Out<- list() + for(N in Looprange(1,Nargs)){ + D<- varargin[[N]] + if(is.data.frame(D) || !is.list(D)){ # modify + Out<- c(Out,list(D)) + } + else{ + for(I in Looprange(1,length(D))){ + Ds<- D[[I]] + Tmp<- Flattenlist(Ds) + Out<- c(Out,Tmp) + } + } + } + return(Out) +} + +############################################ + +Fontsize<- function(Ookisa) +{ + Str<- "%" + S<- substr(Ookisa,1,1) + if(S=="n"){ + Str<- "\\normalsize%" + } + if(S=="s"){ + if(nchar(Ookisa)==1){ + Tmp<- "n" + } + else{ + Tmp<- substr(Ookisa,2,2) + } + if(Tmp=="s"){ + Str<- "\\scriptsize%" + } + else{ + Str<- "\\small%" + } + } + if(S=="f"){ + Str<- "\\footnotesize%" + } + if(S=="t"){ + Str<- "\\tiny%" + } + if(S=="l"){ + Str<- "\\large%" + } + if(S=="L"){ + if(nchar(Ookisa)==1){ + Tmp<- "a" + } + else{ + Tmp<- substr(Ookisa,2,2) + } + if(Tmp=="a"){ + Str<- "\\Large%" + } + else{ + Str<- "\\LARGE%" + } + } + if(S=="h"){ + Str<- "\\huge%" + } + if(S=="H"){ + Str<- "\\Huge%" + } + cat(Str,file=Wfile,append=TRUE) + cat("\n",file=Wfile,append=TRUE) +} + +########################################## + +Fracform<- function(...) +{ + varargin<- list(...) + Eps<- 10^(-10) + Nmax<- 1/Eps + Nargs<- length(varargin) + X<- varargin[[1]] + Nr<- Nrow(X) + X<- as.matrix(X,nrow=Nr) + for (I in Looprange(2,Nargs)){ + Tmp<- varargin[[I]] + if(mode(Tmp)!="numeric"){ + next + } + if(Tmp>1){ + Nmax<- Tmp + } + else if(Tmp>0){ + Eps<- Tmp + } + } + Tmp<- rep("",length(X)) + Out<- matrix(Tmp,nrow=nrow(X)) + for (I in Looprange(1,nrow(X))){ + for (J in Looprange(1,ncol(X))){ + Dt<- X[I,J] + if(mode(Dt)=="character"){ + Dt<- eval(parse(text=Dt)) + } + R<- 1 + N<- 0 + Rmin<- R + Nr<- N + while (R>Eps && N<Nmax){ + N<- N+1 + M<- round(Dt*N) + R<- abs(Dt-M/N) + if(R<Rmin){ + Rmin<- R + Nr<- N + } + } + if(N==Nmax){ + N<- Nr + M<- round(Dt*N) + } + Tmp<- as.character(M) + if(N!=1){ + Tmp<- paste(Tmp,"/",as.character(N),sep="") + } + Out[I,J]<- Tmp + } + } + if(nrow(Out)==1){ + Out<- as.character(Out) + } + return(Out) +} + +############################################## +# 2011.12.17 ( list ) + +Framedata<-function(...) +{ + varargin<- Flattenlist(list(...)) + N<-length(varargin) + if(N<= 1){ + H<- 1.0*10^(-4); + PA<-c(XMIN+H,YMIN+H) + PB<-c(XMAX-H,YMIN+H) + PC<-c(XMAX-H,YMAX-H) + PD<-c(XMIN+H,YMAX-H) + } + else{ + Tmp<-varargin[[N]] + if(is.numeric(Tmp) && length(Tmp)==1){ + Dy<-Tmp; Dx<-Dy + Tmp<-varargin[[N-1]] + if(is.numeric(Tmp) && length(Tmp)==1){ + Dx<-Tmp + } + Tmp<-varargin[[1]] + X<-Tmp[1]; Y<-Tmp[2] + X1<-X-Dx; X2<-X+Dx; Y1<-Y-Dy; Y2<-Y+Dy + } + else{ + Tmp<-varargin[[1]] + X1<-Tmp[1]; X2<-Tmp[2] + Tmp<-varargin[[2]] + Y1<-Tmp[1]; Y2<-Tmp[2] + } + PA<-c(X1,Y1); PB<-c(X2,Y1) + PC<-c(X2,Y2); PD<-c(X1,Y2) + } + Out<- Listplot(c(PA,PB,PC,PD,PA)) + return(Out) +} + +################################### + +Hatchdata<- function(...) +{ ## Scaling is implemented + varargin<- list(...) + ShaL<- list() + Nargs<- length(varargin) + Kakudo<- 45 + Kankaku<- 0.125*1000/2.54/MilliIn + Tmp<- Doscaling(c(XMIN,YMIN)) + Xmn<- Tmp[1]; Ymn<- Tmp[2] + Tmp<- Doscaling(c(XMAX,YMAX)) + Xmx<- Tmp[1]; Ymx<- Tmp[2] + for (N in seq(Nargs,1, by=-1)) + { + Tmp<- varargin[[N]] + if(mode(Tmp)=="list") + { + break + } + } + if(N<Nargs) + { + Kakudo<- varargin[[N+1]] + if(N==Nargs-2) + { + Kankaku<- 0.125*varargin[[Nargs]] + } + } + NaitenL<- varargin[[1]] + if(mode(NaitenL)!="list") + { + NaitenL<- list(NaitenL) + } + Ns<- 2 + StartP<- Op(1,NaitenL) + if(mode(StartP)=="character") + { + StartP<- c((Xmn+Xmx)/2, (Ymn+Ymx)/2) + } + if(mode(varargin[[2]])=="numeric") + { + StartP<- varargin[[2]] + StartP<- Doscaling(StartP) + Ns<- 3 + } + Tmp<- list() + for ( I in Looprange(Ns,N)) + { + Tmp1<- list(varargin[[I]]) + Tmp2<- Mixjoin(Tmp, Tmp1) + Tmp<- Tmp2 + } + Bdy<- Kyoukai(Tmp) + Bdys<-list() + for (I in 1:length(Bdy)) + { + Tmp1<- Bdy[[I]] + Tmp2<- Doscaling(Tmp1) + Bdys<- Mixjoin(Bdys,list(Tmp2)) + } + Bdy<- Bdys + PtnL<- list() + for (I in Looprange(1,length(NaitenL))) + { + Tmp<- Op(I, NaitenL) + if(mode(Tmp)=="numeric") + { + Tmp1<- Naigai(Tmp,Bdy) + Tmp2<- Mixjoin(PtnL, list(Tmp1)) + PtnL<- Tmp2 + } + else + { + if(mode(Tmp)!="character") + { + return("Mode Error") + } + Ptn<-c() + for (J in 1:nchar(Tmp)) + { + if(Op(J,Tmp)=="i") + { + Ptn<- c(Ptn,1) + } + else + { + Ptn<- c(Ptn,0) + } + } + PtnL<- Mixjoin(PtnL, list(Ptn)) + } + } + Call<- length(Bdy) + Ptn<- c(seq(0, 0, length=Call)) + if(Member(Ptn,PtnL)) + { + Wn<- Doscaling(Framedata()) + Tmp<- Mixjoin(Bdy,list(Wn)) + Bdy<- Tmp + Tmp<- list() + for (I in Looprange(1, length(PtnL))) + { + Tmp1<- c(Op(I,PtnL),1) + Tmp2<- Mixjoin(Tmp,list(Tmp1)) + Tmp<- Tmp2 + } + PtnL<- Tmp + } + V<- c(cos(Kakudo*pi/180),sin(Kakudo*pi/180)) + Vm<- c(-sin(Kakudo*pi/180),cos(Kakudo*pi/180)) + Tmp<- Op(1,NaitenL) + if(mode(Tmp)=="numeric" && length(Tmp)==2) + { + Tmp<- Doscaling(Tmp) + Delta<- Tmp-StartP + K<- trunc(Dotprod(Delta,Vm)/Kankaku) + PA<- StartP+K*Kankaku*Vm + Sha<- Makeshasen(PtnL,PA,V,Bdy) + I <- 1 + while (length(Sha)>0) + { + Tmp<- Mixjoin(ShaL, list(Sha)) + ShaL <- Tmp + Sha<- Makeshasen(PtnL,PA+I*Kankaku*Vm,V,Bdy) + I <- I+1 + } + Sha<- Makeshasen(PtnL,PA-Kankaku*Vm,V,Bdy) + I<- 2 + while (length(Sha)>0) + { + for (J in 1:length(Sha)) + { + Tmp<- Mixjoin(ShaL,list(Sha[[J]])) + ShaL<- Tmp + } + Sha<- Makeshasen(PtnL,PA-I*Kankaku*Vm,V,Bdy) + I<- I+1 + } + } + else + { + Delta<- c(Xmn,Ymn)-StartP + K1<- trunc(Dotprod(Delta,Vm)/Kankaku) + Delta<- c(Xmx,Ymn)-StartP + K2<- trunc(Dotprod(Delta,Vm)/Kankaku) + Delta<- c(Xmx,Ymx)-StartP + K3<- trunc(Dotprod(Delta,Vm)/Kankaku) + Delta<- c(Xmn,Ymx)-StartP + K4<- trunc(Dotprod(Delta,Vm)/Kankaku) + IM<- max(K1,K2,K3,K4) + Im<- min(K1,K2,K3,K4) + for (I in Im:IM) + { + Sha<- Makeshasen(PtnL,StartP+I*Kankaku*Vm,V,Bdy) + for (J in Looprange(1,length(Sha))) + { + Tmp<- Mixjoin(ShaL, list(Sha[[J]])) + ShaL<- Tmp + } + } + } + ShaLs<-list() + for (I in Looprange(1,length(ShaL))) + { + Tmp<- ShaL[[I]] + Tmp1<- Unscaling(Tmp) + Tmp2<- Mixjoin(ShaLs, list(Tmp1)) + ShaLs<- Tmp2 + } + ShaL<- ShaLs + return(ShaL) +} + +###################################### + +Htickmark<- function(...) +{ ## Scaling is implemented + varargin<- list(...) + Nargs<- length(varargin) + ArgsL<- varargin + if(mode(ArgsL[[1]])=="character"){ + Str<- ArgsL[[1]] + Tmp<- strsplit(Str,"m") + Tmp<- Tmp[[1]] + if(length(Tmp)>1){ + I<- nchar(Tmp[1])+1 + } + else{ + I<- 0 + } + Tmp<- strsplit(Str,"n") + Tmp<- Tmp[[1]] + if(length(Tmp)>1){ + J<- nchar(Tmp[1])+1 + } + else{ + J<- 0 + } + Tmp<- strsplit(Str,"r") + Tmp<- Tmp[[1]] + if(length(Tmp)>1){ + K=nchar(Tmp[1])+1 + } + else{ + K<- 0 + } + if(K>0){ + S<- substr(Str,K+1,nchar(Str)) + R<- as.numeric(S) + if(is.na(R)){ + R<- 1 + } + } + else{ + R<- 1 + K<- nchar(Str)+1 + } + if(J>0){ + S<- substr(Str,J+1,K-1) + Dn<- as.numeric(S) + if(is.na(Dn)){ + Dn<- 1 + } + } + else{ + Dn<- 1000 + J<- nchar(Str)+1 + } + S<- substr(Str,I+1,J-1) + Dm<- as.numeric(S) + if(is.na(Dm)){ + Dm<- 1 + } + ArgsL<- list() + for (I in Looprange(1, floor((XMAX-GENTEN[1])/Dm))){ + ArgsL<- Mixjoin(ArgsL,I*Dm) + if(I-floor(I/Dn)*Dn==0){ + Str<- as.character(I*Dm*R) + ArgsL<- Mixjoin(ArgsL,Str) + } + } + for (I in seq(-1,ceiling((XMIN-GENTEN[1])/Dm),by=-1)){ + ArgsL<- Mixjoin(ArgsL,I*Dm) + if(I-floor(I/Dn)*Dn==0){ + Str<- as.character(I*Dm*R) + ArgsL<- Mixjoin(ArgsL,Str) + } + } + } + MemoriList<- list() + Memori<- list() + for (N in 1:length(ArgsL)){ + Dt<- ArgsL[[N]] + if(mode(Dt)=="numeric" && length(Dt)>1){ + if(length(Memori)>0){ + MemoriList<- Mixjoin(MemoriList,list(Memori)) + } + Memori<- list(Dt[1],Dt[2]) + next + } + if(mode(Dt)=="character"){ + Memori<- Mixjoin(Memori,Dt) + } + else{ + if(length(Memori)>0){ + MemoriList<- Mixjoin(MemoriList,list(Memori)) + } + Memori<- list(Dt,GENTEN[2]) + } + } + MemoriList<- Mixjoin(MemoriList,list(Memori)) + for (N in 1:length(MemoriList)){ + Dt<- MemoriList[[N]] + Ndt<- length(Dt) + X=Op(1,Dt) + Y=Op(2,Dt) + Tmp<-Doscaling(c(X,Y)) + X<- Tmp[1] + Y<- Tmp[2] + Moji<- Op(Ndt,Dt) + Tmp1<- Unscaling(c(X,Y+MARKLEN)) + Tmp2<- Unscaling(c(X,Y-MARKLEN)) + Fd<- Listplot(c(Tmp1,Tmp2)) + Drwline(Fd) + if(Ndt==3){ + Tmp<-Unscaling(c(X,Y-MARKLEN)) + Expr(Tmp,"s",Moji) + } + if(Ndt==4){ + Houkou<- Op(3,Dt) + Tmp<-grep("s",Houkou) + if(length(Tmp)>0){ + Tmp<-Unscaling(c(X,Y-MARKLEN)) + Expr(Tmp,Houkou,Moji) + } + else{ + Tmp<- Unscaling(c(X,Y+MARKLEN)) + Expr(Tmp,Houkou,Moji) + } + } + cat("%\n",file=Wfile,append=TRUE) + } +} + +############################################# +# 2013.08.07 + +Integrate<- function(Fs,Vs, Intv){ + if(is.function(Fs)){ + Fn<- Fs + } + else{ + Str<- paste("Fn<- function(",Vs, ") ", Fs, sep="") + eval(parse(text=Str)) + } + Tmp<- integrate(Fn, Intv[[1]], Intv[[2]]) + Out<- Tmp[[1]] + return(Out) +} + +############################################# + +Intersectcrvs<-function(...) +{ + varargin<-list(...) + Nargs<-length(varargin) + Eps<-10^(-4) + Tmp<-varargin[[Nargs]] + if(mode(Tmp)=="numeric" && length(Tmp)==1) + { + Eps<-Tmp + } + G1<-varargin[[1]] + if(mode(G1)=="numeric") + { + G1<-list(G1) + } + G2<-varargin[[2]] + if(mode(G2)=="numeric") + { + G2<-list(G2) + } + PL<-list() + for (N in 1:length(G1)) + { + for (M in 1:length(G2)) + { + KL<-IntersectcrvsPp(G1[[N]],G2[[M]],Eps) + for (I in Looprange(1,length(KL))) + { + Tmp<-KL[[I]] + P<-Tmp[1] + PL<-append(PL,P) + } + } + } + return(PL) +} + +########################################### + +IntersectcrvsPp<-function(...) +{ + varargin<-list(...) + Nargs<-length(varargin) + G1<-varargin[[1]]; G2<-varargin[[2]] + Eps<- 10.0^(-4) + if(Nargs>2) Eps<-varargin[[3]] + SqEps<- 10.0^(-10) + Eps2<- 0.1 + if(Nargs>3) Eps2<-varargin[[4]] + Data1<-G1 + Data2<-G2 + if(Nrow(Data1)==Nrow(Data2)) + { + Tmp<-seq(Nrow(Data2),1, by=-1) + Tmp1<-Data2[Tmp,] + Eps0<-10^(-6) + Tmp2<-Norm(Data1-Data2) + Tmp3<-Norm(Data1-Tmp1) + if(Tmp2<Eps0||Tmp3<Eps0) + { + KL<-list() + return(KL) + } + } + KL1<-list() + KL2<-list() + for (I in Looprange(1,Nrow(Data1)-1)) + { + A<-Data1[I,] + B<-Data1[I+1,] + for (J in Looprange(1,Nrow(Data2)-1)) + { + P<-Data2[J,]; Q<-Data2[J+1,] + Tmp<-Koutenseg(A,B,P,Q,Eps,Eps2) + if(mode(Tmp)=="list") + { + if(Tmp[[3]]==0) + { + Tmp1<-list(Tmp[[1]],Tmp[[2]],I,J) + KL1<-append(KL1,list(Tmp1)) + } + else + { + Tmp2<-list(Tmp[[1]],Tmp[[2]],I,J) + KL2<-append(KL2, list(Tmp2)) + } + } + } + } + KL<-list() + if(length(KL1)>0) + { + Tmp<-KL1[[1]] + P<-Tmp[[1]] + T<-Tmp[[2]] + I<-Tmp[[3]] + J<-Tmp[[4]] + Tmp<-list(P,I+T,J) + KL<-list(Tmp) + } + for (N in Looprange(2,length(KL1))) + { + Tmp<-KL1[[N]] + P<-Tmp[[1]] + Flg<-0 + for (K in 1:length(KL)) + { + if(1>length(KL)) break + Tmp<-KL[[K]] + if(Norm(P-Tmp[[1]])^2<SqEps) + { + Flg<-1 + break + } + } + if(Flg==0) + { + Tmp<-KL1[[N]] + T<-Tmp[[2]] + I<-Tmp[[3]] + J<-Tmp[[4]] + Tmp<-list(P,I+T,J) + KL<-append(KL,list(Tmp)) + } + } + for (N in Looprange(1,length(KL2))) + { + Tmp<-KL2[[N]] + P<-Tmp[[1]] + Flg<-0 + for (K in Looprange(1,length(KL))) + { + Tmp<-KL[[K]] + if(Norm(P-Tmp[[1]])^2<SqEps) + { + Flg<-1 + break + } + } + if(Flg==0) + { + Tmp<-KL2[[N]] + T<-Tmp[[2]] + T<-min(max(T,0),1) + I<-Tmp[[3]] + J<-Tmp[[4]] + Tmp<-list(P,I+T,J) + KL<-append(KL,list(Tmp)) + } + } + return(KL) +} + +########################################### +# 13.12.20 debugged + +Invdashline<- function(...) +{ + varargin<- list(...) + Nargs<- length(varargin) + Nall<- Nargs; Sen<- 1 ; Gap<- 1 + Tmp<- varargin[[Nall]] + if(is.numeric(Tmp) && length(Tmp)==1 && Tmp>0){ # 13.12.20 + Tmp1<- varargin[[Nall-1]] + if(is.numeric(Tmp1) && length(Tmp1)==1 && Tmp1>0){ # 13.12.20 + Sen<- Tmp1; Gap<- Tmp + Nall<- Nall-2 + } + else{ + Sen<- Tmp; Gap<- Sen + Nall<- Nall-1 + } + } + Sen<- 1000/2.54/MilliIn*Sen + Gap<- 1000/2.54/MilliIn*Gap + for (N in Looprange(1,Nall)){ + Figdata<- varargin[[N]] + Makehasen(Figdata,Sen,Gap,1) + } +} + +######################################### + +Invert<- function(Pd) +{ + OutL=Pd[nrow(Pd):1,] + return(OutL) +} + +############################################ + +InWindow<-function(PA) +{ + Eps<-10.0^(-6); + if((length(PA)==2)&(is.numeric(PA))){ # 17.11.20 + X<-PA[1]; Y<-PA[2]; + if(X>XMIN-Eps && X<XMAX+Eps && Y>YMIN-Eps && Y<YMAX+Eps) + Rx<-"i" + else + Rx<-"o" + return(Rx) + }else{ + return("o") + } +} + +####################################### + +Joincrvs<- function(...) +{ + varargin<- list(...) + Nall<- length(varargin) + Eps<- 10^(-4) + Tmp<- varargin[[Nall]] + if(mode(Tmp)=="numeric" && length(Tmp)==1){ + Eps<- Tmp + Nall<- Nall-1 + } + QdL<- Flattenlist(varargin[1:Nall]) # 11.06.25 + if(length(QdL)==0){ + PtL<-c() + return(PtL) + } + PtL<- Op(1,QdL) + for (I in Looprange(2,length(QdL))){ + Qd<- Op(I,QdL) + if(Numptcrv(Qd)<=1){next} # 11.06.25 + P<- Ptend(PtL) + S<- Ptstart(PtL) + Q<- Ptstart(Qd) + R<- Ptend(Qd) + MN<- min(Norm(P-Q),Norm(P-R),Norm(S-Q),Norm(S-R)) + if(MN==Norm(P-R)){ + Qd<- Invert(Qd) + } + else if(MN==Norm(S-Q)){ + PtL=Invert(PtL) + } + else if(MN==Norm(S-R)){ + PtL<- Invert(PtL) + Qd<- Invert(Qd) + } + if(MN>Eps){ + PtL<- Appendrow(PtL,Qd) + } + else{ + if(is.null(nrow(Qd))){ Qd<- as.matrix(Qd,nrow=1)} + PtL<- Appendrow(PtL,Qd[2:nrow(Qd),]) # 11.06.25 + } + } + return(PtL) +} + +######################################## +# 2011.11.02 + +Joingraphics<- function(...) +{ + varargin<- list(...) + Ls<- Flattenlist(varargin) + N<- length(Ls) + Tp<- Ls[[N]] + Listflg<- 0 + if( is.character(Tp)){ + Tmp<- toupper(substr(Tp,1,1)) + if(Tmp=="L"){ + Listflg<- 1 + } + N<- N-1 + Ls<- Ls[1:N] + } + if(Listflg==1){ + P<- Ls + } + else{ + P<- c() + for (I in 1:N){ + Tmp<- Ls[[I]] + P<- Appendrow(P,c(Inf,Inf)) + P<- Appendrow(P,Tmp) + } + P<- P[2:nrow(P),] + } + return(P) +} + +######################################## + +Kouten<- function(PA,V,P,Q) +{ + Eps<- 10.0^(-6) + A1<- PA[1]; A2<- PA[2] + V1<- V[1]; V2<- V[2] + P1<- P[1]; P2<- P[2] + U1<- Q[1]-P1; U2<- Q[2]-P2 + Tmp<- Norm(P-Q)*Norm(V) + if(Tmp==0) + { + Out<- list(Inf,-Inf) + return(Out) + } + D<- U1*V2-U2*V1 + if(abs(D)/Tmp<Eps) + { + Out<- list(Inf,-Inf) + return(Out) + } + S<- ((-A2+P2)*V1+(A1-P1)*V2)/D + if(S>1+Eps || S<Eps) + { + Out<-list(Inf,-Inf) + return(Out) + } + T<- ((-A2+P2)*U1+(A1-P1)*U2)/D + Tmp<- PA+T*V + Out<- list(T,Tmp,sign(D)) + return(Out) +} + +########################################## + +KoutenList<- function(PA,V,Bdy) +{ + Eps<-10.0^(-6) + TenL<-list() + for (N in 1:length(Bdy)) + { + KL<- Op(N,Bdy) + for (K in Looprange(1, Nrow(KL)-1)) + { + P<- Op(K,KL); Q<- Op(K+1,KL) + if(P!="/" && Q!="/") + { + Tmp<- Kouten(PA,V,P,Q); + if(Tmp[[1]]!=Inf) + { + Ten<- append(Tmp,N) + Flg<- 0 + NN<- length(TenL) + I<- 1 + while (Flg==0 && I<=NN) + { + Tmp<- Op(I,TenL) + if(Op(1,Ten)<Op(1,Tmp)-Eps) + { + Tmp1<- TenL[Looprange(1,I-1)] + Tmp2<- TenL[Looprange(I,length(TenL))] + TenL<- Mixjoin(Tmp1,list(Ten),Tmp2) + Flg<-1 + } + else + if(Op(1,Ten)<Op(1,Tmp)+Eps) + { + if(Op(4,Ten)!=Op(4,Tmp)) + { + Tmp1<- TenL[Looprange(1,I-1)] + Tmp2<- TenL[Looprange(I,length(TenL))] + TenL<- Mixjoin(Tmp1,list(Ten),Tmp2) + Flg<-1 + } + else + if(Op(3,Ten)!=Op(3,Tmp)) + { + Tmp1<- TenL[Looprange(I,I-1)] + Tmp2<- TenL[Looprange(I+1,length(TenL))] + TenL<- Mixjoin(Tmp1,Tmp2) + } + Flg<- 1 + } + I<- I+1 + } + if(Flg==0) + { + TenL<- Mixjoin(TenL,list(Ten)) + } + } + } + } + } + return(TenL) +} + +########################################## + +Koutenseg<-function(...) +{ + #pointdata on AB at which AB intersects CD + varargin<-list(...) + Nargs<-length(varargin) + Eps0 <- 10^(-4) + A<-varargin[[1]]; V<-varargin[[2]]-A + Sv2 <- V[1]^2+V[2]^2 + if(Sv2<10^(-6)) + { + Out<-Inf + return(Out) + } + P<-varargin[[3]]-A; Q<-varargin[[4]]-A + Eps <- 10.0^(-3) + if(Nargs>=5) + { + Eps<-varargin[[5]] + } + Eps2 <- 0.2 + if(Nargs>=6) + { + Eps2<-varargin[[6]] + } + Eps<-min(Eps2,Eps/sqrt(Sv2)) + P1<-(P[1]*V[1]+P[2]*V[2])/Sv2 + P2<-(-P[1]*V[2]+P[2]*V[1])/Sv2 + Q1<-(Q[1]*V[1]+Q[2]*V[2])/Sv2 + Q2<-(-Q[1]*V[2]+Q[2]*V[1])/Sv2 + m1 <- -Eps; M1 <- 1+Eps + m2 <- -Eps; M2 <- Eps + if(max(P1,Q1)<m1 || min(P1,Q1)>M1) + { + Out<-Inf + return(Out) + } + if(max(P2,Q2)<m2 || min(P2,Q2)>M2) + { + Out<-Inf + return(Out) + } + if(P2*Q2<0) + { + T<- P1-(Q1-P1)/(Q2-P2)*P2 + if(T>m1 && T<M1) + { + if(T > -Eps0 && T<1+Eps0) + { + Tmp1<-A+T*V + Tmp2<-min(max(T,0),1) + Out<-list(Tmp1,Tmp2,0) + } + else + { + Tmp1<-A+T*V + Tmp2<-min(max(T,0),1) + Out<-list(Tmp1,Tmp2,1) + } + return(Out) + } + if(P1<m1 || P1>M1 || P2<m2 || P2>M2) + { + if(Q1<m1 || Q1>M1 || Q2<m2 || Q2>M2) + { + Out<-Inf + return(Out) + } + T<-min(max(Q1,0),1) + Tmp=A+T*V + Out<-list(Tmp,T,1) + return(Out) + } + T<-min(max(P1,0),1) + Tmp<-A+T*V + Out<-list(Tmp,T,1) + return(Out) + } + if(P1> -Eps0 && P1<1+Eps0 && P2> -Eps0 && P2 < Eps0) + { + T<- P1 + Tmp<- A+T*V + Out<- list(Tmp, T, 0) + return(Out) + } + if(Q1> -Eps0 && Q1<1+Eps0 && Q2> -Eps0 && Q2<Eps0) + { + T<- Q1 + Tmp<-A+T*V + Out<- list(Tmp,T,0) + return(Out) + } + if(P1<m1 || P1>M1 || P2<m2 || P2>M2) + { + if(Q1<m1 || Q1>M1 || Q2<m2 || Q2>M2) + { + Out<-Inf + return(Out) + } + T<-min(max(Q1,0),1) + Tmp<-A+T*V + Out<-list(Tmp,T,1) + return(Out) + } + if(Q1<m1 || Q1>M1 || Q2<m2 || Q2>M2) + { + T<-min(max(P1,0),1) + Tmp<-A+T*V + Out<-list(Tmp,T,1) + return(Out) + } + if(abs(P2)<abs(Q2)) + { + T<-min(max(P1,0),1) + } + else + { + T<-min(max(Q1,0),1) + } + Tmp<A+T*V + Out<-list(Tmp,T,1) + return(Out) +} + +########################################## + +Kukeiwake<- function(PL) +{ + Eps<-10.0^(-6) + NW<- c(XMIN,YMAX); SW<-c(XMIN,YMIN) + SE<- c(XMAX,YMIN); NE<-c(XMAX,YMAX) + Tmp<-matrix(c(NW,SW,SE,NE,NW),nrow=2) + Sikaku<- t(Tmp) + Kt<- IntersectcrvsPp(PL,Sikaku) + if(length(Kt)!=2) + { + print("not two points") + return(c()) + } + Tmp<- Op(1,Kt) + Pt1<- Op(1,Tmp) + N1<- trunc(Op(2,Tmp)) + M1<- Op(3,Tmp) + Tmp<- Op(2,Kt) + Pt2<- Op(1,Tmp) + N2<- trunc(Op(2,Tmp)) + M2<- Op(3,Tmp) + T1<- Paramoncurve(Pt1,M1,Sikaku) #18.02.06 + T2<- Paramoncurve(Pt2,M2,Sikaku) + QL<c() + if(Norm(Pt1-Op(N1+1,PL))>Eps) + { + QL<-Pt1 + } + Tmp<-Appendrow(QL,PL[(N1+1):N2,]) + QL<- Tmp + if(Norm(Pt2-Op(N2,PL))>Eps) + { + Tmp<-Appendrow(QL,Pt2) + QL<- Tmp + } + HidariL<- QL + Ms<- M2+1; Me<- M1 + if(T1<T2+Eps) Me<- M1+4 + for (M in Looprange(Ms,Me)) + { + Tmp<- Op(Nrow(HidariL),HidariL) + P<-Op(((M-1) %% 4)+1,Sikaku) + if(Norm(Tmp-P)>Eps) + { + Tmp<-Append(HidariL,P) + HidariL<-Tmp + } + } + Tmp<- Op(Nrow(HidariL),HidariL) + if(Norm(Tmp-Pt1)>Eps) + { + Tmp<-Append(HidariL,Pt1) + HidariL<-Tmp + } + MigiL<- QL + Ms<- M2; Me<- M1+1 + if(T1>T2-Eps) Me<- Me-4 + for (Mm in Looprange(Me,Ms)) + { + M<- Me+Ms-Mm + Tmp<- Op(Nrow(MigiL),MigiL) + P<- Op(((M-1) %% 4)+1,Sikaku) + if(Norm(Tmp-P)>Eps) + { + Tmp<-Appendrow(MigiL,P) + MigiL<-Tmp + } + } + Tmp<- Op(Nrow(MigiL),MigiL) + if(Norm(Tmp-Pt1)>Eps) + { + Tmp<-Appendrow(MigiL,Pt1) + MigiL<-Tmp + } + Out<- list(HidariL,MigiL) + return(Out) +} + +################################### +# 17.09.24 Eps + +Kyoukai<- function(...) +{ + varargin<- list(...) + Nargs<- length(varargin) + Eps0<- 10^(-7) + DataL<-list() + for (I in 1:Nargs){ + Tmp<- varargin[[I]] + if(mode(Tmp)=="numeric"){ + DataL<- Mixjoin(DataL,list(list(Tmp))) + } + if(mode(Tmp)=="list"){ + if(mode(Tmp[[1]])!="list"){ + DataL<- Mixjoin(DataL, list(Tmp)) + } + else{ + DataL<-Mixjoin(DataL,Tmp) + } + } + } + Eps<- 10.0^(-4) #17.09.24 + PLall<- list() + Sflg<- 0 + N<- length(DataL) + for (I in 1:N){ + Data<- Op(I, DataL) + Tmp<- Op(length(Data),Data) + if(mode(Tmp)=="numeric" && Nrow(Tmp)==1 && length(Tmp)>1){ + Rg<-Tmp ; Nd<-length(Data)-1 + } + else{ + if(mode(Tmp)=="character"){ + Rg<- Tmp ; Nd<-length(Data)-1 + } + else{ + Rg<- "c" ; Nd<-length(Data) + } + } + for (J in Looprange(1,Nd)){ + Tmp<- Op(J,Data) + if(mode(Tmp)=="character"){ + Rg<- Tmp + next + } + Points<- Tmp + P1<- Ptstart(Points) + P2<- Ptend(Points) + if(J==1){ + PL<- Points + Pfirst<- P1 + Plast<- P2 + if(Nd>=2){ + Tmp<- Data[[2]] + P<- Ptstart(Tmp) + Q<- Ptend(Tmp) + if(Norm(P2-P)>Eps && Norm(P2-Q)>Eps){ + Tmp< Nrow(PL) + PL<-PL[Tmp:1,] + Pfirst<- Ptstart(PL) + Plast<- Ptend(PL) + } + } + } + else{ + if(Norm(P1-Plast)<Eps){ + Stp<-1; Ks<-2; Ke=Nrow(Points) + } + else{ + if(Norm(P2-Plast)<Eps) { + Stp<- -1; Ks<-Nrow(Points)-1; Ke=1 + } + else{ + Tmp<-Appendrow(PL,c(Inf,Inf),Points) + PL<- Tmp + Sflg<- 1 + Pfirst<- P1 + Plast<- P2 + Stp<- 1; Ks<- Nrow(Points)-1; Ke<- 1 + } + } + for (K in seq(Ks,Ke, by=Stp)){ + Tmp<- Appendrow(PL,Op(K,Points)) + PL<-Tmp + } + Plast<- Op(Ke,Points) + } + } + if(Norm(Pfirst-Plast)>Eps){ + Np<- Nrow(PL) + if(Rg=="c"){ + Tmp<- Appendrow(PL,Pfirst) + PL<- Tmp + } + else if(Rg=="s"){ + Tmp<- c(PL[1:Np,2],YMIN) + Y<- min(Tmp)-1 + P<- c(Plast[1],Y); Q<- c(Pfirst[1],Y) + Tmp<- Appendrow(PL,P,Q,Pfirst) + PL<- Tmp + } + else if(Rg=="n"){ + Tmp<- c(PL[1:Np,2],YMAX) + Y<-max(Tmp)+1 + P<- c(Plast[1],Y); Q<- c(Pfirst[1],Y) + Tmp<- Appendrow(PL,P,Q,Pfirst) + PL<- Tmp + } + else if(Rg=="w"){ + Tmp<- c(PL[1:Np,1],XMIN) + X<- min(Tmp)-1 + P<- c(X,Plast[2]); Q<- c(X,Pfirst[2]) + Tmp<- Appendrow(PL,P,Q,Pfirst) + PL<- Tmp + } + else if(Rg=="e"){ + Tmp<- c(PL[1:Np,1],XMAX) + X<- max(Tmp)+1 + P<- c(X,Plast[2]); Q<- c(X,Pfirst[2]) + Tmp<- Appendrow(PL,P,Q,Pfirst) + PL<- Tmp + } + else if(mode(Rg)=="numeric" && Nrow(Rg)==1 && length(Rg)>1){ + Tmp<- Kukeiwake(PL) + Tmp1<- Op(1,Tmp) + Tmp2<- Naigai(Rg,list(Tmp1)) + if(Tmp2==c(1)){ + PL<-Op(1,Tmp) + } + else{ + PL<- Op(2,Tmp) + } + } + } + Tmp<- Ptstart(PL) + for (J in 2:Nrow(PL)){ + P<- Op(J,PL) + Q<- Op(Nrow(Tmp),Tmp) + if(Norm(P-Q)>Eps){ + Tmp1<-Appendrow(Tmp,P) + Tmp<-Tmp1 + } + } + PL<-Tmp + PLall<-Mixjoin(PLall,list(PL)) + } + if(length(PLall)==1 && Sflg==0){ + Tmp<- Op(1,PLall) +# Tmp<- Op(1,Tmp) + if(Norm(Ptstart(Tmp)-Ptend(Tmp))>Eps0){ + Tmp1<- Appendrow(Tmp,Ptstart(Tmp)) + PLall<- list(Tmp1) + } + } + return(PLall) +} + +###################################### + +Letter<-function(...) +{ ## Scaling is implemented + varargin<-list(...) + Nargs<-length(varargin) + Irng<-c(seq(from=1,to=Nargs,by=3)) + for (I in Irng) + { + Tmp<-varargin[[I]] + P<- Doscaling(Tmp) + X<-P[1] + Y<-P[2] + Houkou<-varargin[[I+1]] + Mojiretu<-varargin[[I+2]] + Hset<-Houkou + Vhoko<-"c" + if(length(grep("n",Hset))>0) + { + Vhoko<-"n"; Y<-Y+MEMORI + } + if(length(grep("s",Hset))>0) + { + Vhoko<-"s"; Y<-Y-MEMORI + } + Hhoko<-"c" + if(length(grep("e",Hset))>0) + { + Hhoko<-"e"; X<-X+MEMORI + } + if(length(grep("w",Hset))>0) + { + Hhoko<-"w"; X<-X-MEMORI + } + Hoko<-paste(Vhoko,Hhoko,sep="") + Suu<-"+-.0123456789" + SuuL<-Suu + J<-1; Dstr<-"" + while (J<=nchar(Houkou)) + { + Tmp<-substring(Houkou,J,J) + if(length(grep(Tmp,SuuL))>0) + { + if(Dstr=="") Hk<-substring(Houkou,J-1,J-1) + Dstr<-paste(Dstr,Tmp,sep="") + } + else + { + if(Dstr!="") + { + Nmbr<-as.numeric(Dstr) + D<-Nmbr*MEMORI + if(Hk=="n") Y<-Y+D + if(Hk=="s") Y<-Y-D + if(Hk=="e") X<-X+D + if(Hk=="w") X<-X-D + Dstr<-"" + } + } + J<-J+1 + } + if(Dstr!="") + { + Nmbr<-as.numeric(Dstr) + D<-Nmbr*MEMORI; + if(Hk=="n") Y<-Y+D + if(Hk=="s") Y<-Y-D + if(Hk=="e") X<-X+D + if(Hk=="w") X<-X-D + } + CalcWidth(Hoko,Mojiretu) + CalcHeight(Hoko,Mojiretu) + cat("\\put(",file=Wfile,append=TRUE) + Tmp1<- sprintf("%7.7f",X) # 11.07.19 + Tmp2<- sprintf("%7.7f",Y) # 11.07.19 + Str<-paste(Tmp1,",",Tmp2,sep="") + cat(Str,file=Wfile,append=TRUE) + Tmp<-"){\\hspace*{\\Width}" + Str<-paste(Tmp,"\\raisebox{\\Height}{",Mojiretu,"}}%\n",sep="") + cat(Str,file=Wfile,append=TRUE) + cat("%\n",file=Wfile,append=TRUE) + } +} + +###################################################### + +Letterrot<- function(...) +{ + varargin<- list(...) + P<- varargin[[1]] + V<- varargin[[2]]; N<- 3 + P<- Doscaling(P) + V<- Doscaling(V) + Tmov<- 0 + Tmp<- varargin[[N]] + if(mode(Tmp)=="numeric"){ + Tmov<- Tmp; N<- N+1 + } + Nmov<- 0 + Tmp<- varargin[[N]] + if(mode(Tmp)=="numeric"){ + Nmov<- Tmp; N<- N+1 + } + Mojiretu<- Assign(varargin[[N]]) #2017.11.26 + Tv<- 1/Norm(V)*V + Nv<- c(-Tv[2],Tv[1]) + P<- P+MEMORI*Tmov*Tv+MEMORI*Nmov*Nv + Tmp<- acos(V[1]/Norm(V)) + Theta<- round(Tmp*180/pi) + if(V[2]>=0){ + Units<- "" + } + else{ + Units<- "units=-360," + } + Tmp<- paste("\\rotatebox[",Units,"origin=c]{",as.character(Theta),sep="") + Tmp<- paste(Tmp,"}{",Mojiretu,"}",sep="") + Letter(P,"c",Tmp) +} + +################################### +# 10.12.04 + +Lineplot<-function(...) +{ + varargin <- list(...) + Nargs<-length(varargin) + A<-varargin[[1]] + if(is.numeric(A)) { + Tmp<-length(A) + if(Tmp>3) { + B <- A[(Tmp/2+1):Tmp] + A <- A[1:(Tmp/2)] + Is <- 2 + } + else { + B<-varargin[[2]] + Is <- 3 + } + } + else { + B<-A[[2]] + A<-A[[1]] + Is <- 2 + } + Mag <- 100 ; Semi <- "" ## 10.12.04 + for (I in Looprange(Is,Nargs)) { + Tmp <- varargin[[I]] + switch ( mode(Tmp), + "numeric"= Mag <- Tmp, + "character"= Semi <- Tmp + ) + } +V<- Mag/Norm(B-A)*(B-A) ## 10.12.04 from here + if(Semi=="") { + Out<- Listplot(c(A-V,A+V)) + } + else if(Semi=="+") { + Out<- Listplot(c(A,A+V)) + } + else { + Out<- Listplot(c(A-V,A)) + } ## 10.12.04 to here + return(Out) +} + +################################ + +Listplot<-function(...) +{ + varargin<-list(...); + Z<-c(); + for (I in 1:length(varargin)) + { + Data<-varargin[[I]]; + if(mode(Data)=="numeric") + { + if(class(Data)=="numeric") + { + Tmp<-matrix(Data,nrow=2); + Tmp<-t(Tmp); + Z<-Appendrow(Z,Tmp) + } + else + Z<-Appendrow(Z,Data) + } + else + { + for (J in 1:length(Data)) + { + Tmp<-Data[[J]]; + Z<-Appendrow(Z,Tmp) + } + } + } + return(Z) +} + +############################## + +MakeBowdata <- function(PA,PB,H) +{ + Eps <- 10^(-5) + BOWSTART <<- PA + BOWEND <<- PB + D <- 1/2*Norm(PB-PA) + R <- (H^2+D^2)/(2*H) + A1 <- PA[1]; A2<-PA[2] + B1 <- PB[1]; B2<-PB[2] + if(abs(A2-B2)>Eps){ +# x <- poly(0,"X") +# y <- -(A1-B1)*x/(A2-B2)+(1/2)*(A1^2+A2^2-B1^2-B2^2)/(A2-B2) +# Eq1 <- (A1-x)^2+(A2-y)^2-R^2 +# Tmp <- coeff(Eq1) +# C0 <- Tmp[1]; C1<-Tm[2]; C2<-Tmp[3] + C0<- A1^2+(A2-(1/2)*(A1^2+A2^2-B1^2-B2^2)/(A2-B2))^2-R^2 + C1<- -(A1+B1)*(A2^2+B2^2-2*A2*B2-2*A1*B1+A1^2+B1^2)/(A2-B2)^2 + C2<- 1+(A1-B1)^2/(A2-B2)^2 + Det <- sqrt(C1^2-4*C0*C2) + Ansx1 <- (-C1+Det)/(2*C2) + Ansx2 <- (-C1-Det)/(2*C2) + Tmp <- -(A1-B1)*Ansx1/(A2-B2)+(1/2)*(A1^2+A2^2-B1^2-B2^2)/(A2-B2) + PC <- c(Ansx1,Tmp) + Tmp <--(A1-B1)*Ansx2/(A2-B2)+(1/2)*(A1^2+A2^2-B1^2-B2^2)/(A2-B2) + PC2 <- c(Ansx2,Tmp) + } + else{ + Tmp <- 0.5*(PA+PB) + PC <- Tmp+c(0,R-H) # 11.06.02 + PC2 <- Tmp-c(0,R-H) + } + VA <- PA-PC + VB <- PB-PC + if(VA[1]*VB[2]-VA[2]*VB[1]<0) { + PC <- PC2 + } + AngA <- acos((PA[1]-PC[1])/R) + if(PA[2]-PC[2]<0){ + AngA <- -AngA + } + AngB <- acos((PB[1]-PC[1])/R) + if(PB[2]-PC[2]<0){ + AngB <- -AngB + } + if(AngA>AngB) { + AngB <- AngB+2*pi + } + Out <- list(PC,R,AngA,AngB) + return(Out) +} + +#################################################### + +MakeCurves<-function(...){ ## Scaling is implemented + varargin<-list(...) + Figdata<-varargin[[1]] + if(class(Figdata)=="numeric"){ + Figdata<-matrix(Figdata,nrow=1) + } + Ptout<-1 + if(length(varargin)>=2) Ptout<-varargin[[2]] + Eps<-10.0^(-6) + IndM<-Dataindex(Figdata) + Atos<-c() + for (Nd in 1:Nrow(IndM)){ + Tmp<-IndM[Nd,] + Motos<-Figdata[Tmp[1]:Tmp[2],] + All<-Nrow(Motos) + if(Nrow(Motos)==1){ + if(InWindow(Motos)=="o"){ + next + } + Tmp1<- as.numeric(Motos) + if(Ptout==1){ + Drwpt(Tmp1) + } + else{ + Tmp1<- Doscaling(Tmp1) + Atos<-Appendrow(Atos,c(Inf,Inf),Tmp1) + next + } + } + Crv<-c() + for (I in Looprange(2,All)){ + P<- Op(I-1,Motos) + Q<- Op(I,Motos) + Snbn<-MeetWindow(P,Q) + if(length(Snbn)==0){ + if(length(Crv)>0){ + Atos<-Appendrow(Atos,c(Inf,Inf),Doscaling(Crv)) + Crv<-c() + } + } + else{ + if(Norm(Snbn[1,]-Snbn[2,])<Eps){ next} # naosi 101202 + if(length(Crv)==0){ + Crv<-Snbn + } + else{ + Tmp<-Op(Nrow(Crv),Crv) + if(Norm(Tmp-Op(1,Snbn))<Eps){ + Crv<-Appendrow(Crv,Op(2,Snbn)) + } + else{ + Atos<-Appendrow(Atos,c(Inf,Inf),Doscaling(Crv)) + Crv<-Snbn + } + } + } + } + if(Nrow(Crv)>=2) + { + Atos<-Appendrow(Atos,c(Inf,Inf),Doscaling(Crv)) + } + } + Outdata<-Atos[2:Nrow(Atos),] + if(class(Outdata)=="numeric") + { + Outdata<-matrix(Outdata,nrow=1) + } + return(Outdata) +} + +###################################### + +Makehasen<- function(Figdata,Sen,Gap,Ptn) +{ + Eps<- 10.0^(-6) + Clist<- MakeCurves(Figdata) + DinM<- Dataindex(Clist) + for (N in Looprange(1,Nrow(DinM))){ + Tmp<- DinM[N,] + Data<- Clist[Tmp[1]:Tmp[2],] + Dtall<- Nrow(Data) + Len<- 0 + Lenlist<- c(0) + for (I in Looprange(2,Dtall)){ + Len<- Len+Norm(Data[I,]-Data[I-1,]) + Lenlist<- c(Lenlist,Len) + } + Lenall<- Lenlist[Dtall] + if(Lenall==0){ + next + } + Kari<- (Sen+Gap)*0.1 + Naga<- Sen*0.1 + Tobi<- Gap*0.1 + if(Norm(Data[1,]-Data[Dtall,])<Eps){ + Nsen<- max(ceiling(Lenall/Kari),3) + SegUnit<- Lenall/Nsen + Naga<- SegUnit*Sen/(Sen+Gap) + Tobi<- SegUnit*Gap/(Sen+Gap) + SegList<- c(seq(0,(Nsen-1)*SegUnit,by=SegUnit)) + } + else{ + if(Ptn==0){ + Nsen<- max(ceiling((Lenall+Tobi)/Kari),3) + SegUnit<- Lenall*(Sen+Gap)/(Nsen*Sen+(Nsen-1)*Gap) + Naga<- SegUnit*Sen/(Sen+Gap) + Tobi<- SegUnit*Gap/(Sen+Gap) + SegList<- c(seq(0,(Nsen-1)*SegUnit,by=SegUnit)) + } + else{ + Nsen<- max(ceiling((Lenall+Naga)/Kari),3) + SegUnit<- Lenall*(Sen+Gap)/((Nsen-1)*Sen+Nsen*Gap) + Naga<- SegUnit*Sen/(Sen+Gap) + Tobi<- SegUnit*Gap/(Sen+Gap) + SegList<- c(seq(Tobi,Tobi+(Nsen-2)*SegUnit,by=SegUnit)) + } + } + Hajime<- 1; Owari<- 1 + Mojisu<- 0 + for (I in Looprange(1,length(SegList))){ + Len<- SegList[I] + J<- Owari + while (Len>=Lenlist[J]-Eps){ + if(J==Dtall){ + break + } + J<- J+1 + } + Hajime<- J-1 + J<- Hajime + while (Len+Naga>Lenlist[J]-Eps){ + if(J==Dtall){ + break + } + J<- J+1 + } + Owari<- J-1 + T<- (Len-Lenlist[Hajime]) + T<- T/(Lenlist[Hajime+1]-Lenlist[Hajime]) + P<- Data[Hajime,]+T*(Data[Hajime+1,]-Data[Hajime,]) + X<- as.character(round(MilliIn*P[1])) + Y<- as.character(-round(MilliIn*P[2])) + Str<- paste("\\special{pa ",X," ",Y,"}",sep="") + cat(Str,file=Wfile,append=TRUE) + Mojisu<- Mojisu+nchar(Str) + for (J in Looprange(Hajime+1,Owari)){ + P<- Data[J,] + X<- as.character(round(MilliIn*P[1])) + Y<- as.character(-round(MilliIn*P[2])) + Str<- paste("\\special{pa ",X," ",Y,"}",sep="") + cat(Str,file=Wfile,append=TRUE) + Mojisu<- Mojisu+nchar(Str) + } + T<- (Len+Naga-Lenlist[Owari]) + T<- T/(Lenlist[Owari+1]-Lenlist[Owari]) + P<- Data[Owari,]+T*(Data[Owari+1,]-Data[Owari,]) + X<- as.character(round(MilliIn*P[1])) + Y<- as.character(-round(MilliIn*P[2])) + Str1<- paste("\\special{pa ",X," ",Y,"}",sep="") + Str2<- "\\special{fp}" + cat(Str1,file=Wfile,append=TRUE) + cat(Str2,file=Wfile,append=TRUE) + Mojisu<- Mojisu+nchar(Str1)+nchar(Str2) + if(Mojisu>80){ + cat("%\n",file=Wfile,append=TRUE) + Mojisu<- 0 + } + } + } + cat("%\n%\n",file=Wfile,append=TRUE); +} + +###################################### + +Makeliststr<- function(L) +{ + Out="list(" + for (I in 1:length(L)){ + Dt<- L[[I]] + if(mode(Dt)=="numeric"){ + if(length(Dt)==1){ + Dts<- as.character(Dt) + } + else{ + Dts<- "c(" + for (J in Looprange(1,Nrow(Dt))){ + for (K in 1:ncol(Dt)){ + Dts<- paste(Dts,as.character(Dt[J,K]),sep="") + if(K< ncol(Dt)){ + Dts<- paste(Dts,",",sep="") + } + } + if(J<Nrow(Dt)){ + Dts<- paste(Dts,";",sep="") + } + else{ + Dts<- paste(Dts,")",sep="") + } + } + } + } + if(mode(Dt)=="character"){ + Dts<- paste(Prime(),Dt,Prime(),sep="") + } + if(mode(Dt)=="list"){ + Dts<- Makeliststr(Dt) + } + Out<- paste(Out,Dts,sep="") + if(I<length(L)){ + Out<- paste(Out,",") + } + else{ + Out<- paste(Out,")",sep="") + } + } + return(Out) +} + +############################################ + +Makeshasen<- function(PtnL,PA,V,Bdy) +{ + Eps<- 10^(-6) + TenL<- KoutenList(PA,V,Bdy) + Nten<- length(TenL) + Call<- length(Bdy) + Ptn<- c(seq(0, 0, length=Call)) + Out<- list() + GL<- c() + Te<- -10^6 + for (I in Looprange(1,Nten-1)){ + TenP<- Op(I,TenL); TenQ<- Op(I+1,TenL) + Ts<- Op(1,TenP) + P<- Op(2,TenP); Q<- Op(2,TenQ) + NC<- Op(4,TenP) + Tmp<- (Op(NC,Ptn)+1) %% 2 + Ptn[NC]<- Tmp + if(Op(1,TenQ)-Ts>Eps){ + if(Member(Ptn,PtnL)){ + if(abs(Te-Ts)>Eps){ + if(Nrow(GL)>0){ + Tmp<- Mixjoin(Out, list(GL)) + Out<- Tmp + } + GL<- Listplot(P,Q) + } + else{ + Tmp <- Appendrow(GL, Q) + GL<- Tmp + } + Te<- Op(1,TenQ) + } + } + } + if(Nrow(GL)>0){ + Tmp<- Mixjoin(Out, list(GL)) + Out<- Tmp + } + return(Out) +} + +############################################# + +Mawarikomi<- function(...) +{ + varargin<- list(...) + haba<- "10cm" + Nargs<- length(varargin) + if(Nargs>0){ + haba<- varargin[[1]] + } + cat("\\begin{mawarikomi}%\n",file="",append=TRUE) + cat("%<1>[5](0,0)%\n",file="",append=TRUE) + Str<- paste("{",haba,"}{%\n",sep="") + cat(Str,file="",append=TRUE) + cat("}%\n",file="",append=TRUE) + cat("\\end{mawarikomi}",file="",append=TRUE) +} + +############################################## + +MeetWindow<-function(PA,PB) +{ + if(InWindow(PA)=="i" && InWindow(PB)=="i") + { + R<-Appendrow(PA,PB) + return(R) + }; + Horner<-function(n,t) + { + PT<-(1-t)*PA+t*PB; + return(PT[n]) + } + Eps<-10.0^(-6); + Txm<-(-1); TxM<-(-1); Tym<-(-1); TyM<-(-1); + if(PA[1]!=PB[1]) + { + Txm<-(XMIN-PA[1])/(PB[1]-PA[1]); + TxM<-(XMAX-PA[1])/(PB[1]-PA[1]); + } + if(PA[2]!=PB[2]) + { + Tym<-(YMIN-PA[2])/(PB[2]-PA[2]); + TyM<-(YMAX-PA[2])/(PB[2]-PA[2]); + } + Tmp<-Horner(2,Txm); + if(Tmp<YMIN-Eps || Tmp>YMAX+Eps) + { + Txm<-(-1); + } + Tmp<-Horner(2,TxM); + if(Tmp<YMIN-Eps || Tmp>YMAX+Eps) + { + TxM<-(-1) + } + Tmp<-Horner(1,Tym); + if(Tmp<XMIN-Eps || Tmp>XMAX+Eps) + { + Tym<--1 + } + Tmp<-Horner(1,TyM); + if(Tmp<XMIN-Eps || Tmp>XMAX+Eps) + { + TyM<--1 + } + Tans<-sort(c(Txm,TxM,Tym,TyM)); + Tmp<-c(); + for (I in 1:length(Tans)) + { + Tmp1<-Tans[I]; + if(Tmp1>-Eps && Tmp1<1+Eps) + { + if(length(Tmp)==0) + { + Tmp<-c(Tmp1); + } + else + { + if(abs(Tmp[length(Tmp)]-Tmp1)>Eps) + { + Tmp<-c(Tmp,Tmp1) + } + } + } + } + Tans<-Tmp; + if(length(Tans)==0) + { + R<-c(); + return(R); + } + if(length(Tans)==1) + { + Ten1<-Horner(1:2,Tans[1]); + if(InWindow(PA)=="i") + { + R<-Appendrow(PA,Ten1) + return(R) + } + else + { + R<-Appendrow(Ten1,PB) + return(R) + } + } + Ten1<-Horner(1:2,Tans[1]) + Ten2<-Horner(1:2,Tans[2]) + R<-Appendrow(Ten1,Ten2) + return(R) +} + +######################################### + +# New 10.03.21 + +Mixjoin<-function(...) +{ + varargin<-list(...) + Nargs<- length(varargin) + M<- list() + for (I in 1:Nargs) + { + Tmp<-varargin[[I]] + if(length(Tmp)==0) next + if(Mixtype(Tmp)==1) + { + Tmp<-list(Tmp) + } + if(length(M)==0){ + M <- Tmp + } + else{ + M<- c(M,Tmp) + } + } + return(M) +} + +################################# + +Mixlength<- function(PL){ + if(length(PL)==0){ + return(0) + } + if(Mixtype(PL)==1){ + Out<- Nrow(PL) + } + else{ + Out<- length(PL) + } + return(Out) +} + +########################################### + +Mixtype<- function(D) +{ + if(mode(D)!="list") return(1) + for (I in 1:length(D)) + { + Tmp<- D[[I]] + if(mode(Tmp)=="list") return(3) + } + return(2) +} + +########################################### + +Naigai<- function(A,Bdy) +{ + V<- c(1,1) + Call<-length(Bdy) + KL<- KoutenList(A,V,Bdy) + Ptn<- seq(1,1,length=Call) + for (K in Looprange(1,length(KL))) + { + Ten<- Op(K,KL) + T<- Op(1,Ten); NC<- Op(4,Ten) + if(T<0) + { + Tmp<- (Ptn[NC]+1) %% 2 + Ptn[NC]<- Tmp + } + } + return(Ptn) +} + +######################################## + +Nearestpt<- function(...){ + varargin<- list(...) + Nargs<- length(varargin) + PL1<- varargin[[1]] + if(!is.matrix(PL1)){ + Tmp<- matrix(PL1); + PL1<- t(Tmp) + } + if(Nrow(PL1)==1) Flg=0 + else Flg=1 + Eps<- 10.0^(-6) + PL<- varargin[[2]] + Ans<- list(PL1[1,],1,PL[1,],1,Norm(PL1[1,]-PL[1,])) + for(N in Looprange(1,Nrow(PL1))){ + PA<- PL1[N,] + Pm<- PL[1,] + Im<- 1 + Sm<- Norm(Pm-PA) + for(I in Looprange(1,Nrow(PL)-1)){ + A1<- PL[I,1]; A2<-PL[I,2] + B1<- PL[I+1,1]; B2<-PL[I+1,2] + V1<- B1-A1; V2<-B2-A2 + X1<- PA[1]; X2<-PA[2] + Tmp<-V2^2+V1^2 + if(abs(Tmp)<Eps) next + T<- (-A2*V2-V1*A1+V1*X1+X2*V2)/Tmp + if(T< -Eps){ + P<- c(A1,A2) + }else{ + if(T>1+Eps){ + P<- c(B1,B2) + }else{ + P<- c(A1+T*V1,A2+T*V2) + } + } + S<- Norm(P-PA) + if(S<Sm-Eps){ + Tmp<- Paramoncurve(P,I,PL) + Pm<- P; Im<- Tmp; Sm<- S + } + } + if(Sm<Op(5,Ans)) Ans<- list(PA,N,Pm,Im,Sm) + if(Flg==0){ + Ans<- Ans[3:5] + } + } + return(Ans) +} + +######################################### + +Newlength<- function() +{ + Tmp1<- "\\newlength{\\Width}%\n" + Tmp2<- "\\newlength{\\Height}%\n" + Tmp3<- "\\newlength{\\Depth}%\n" + cat(Tmp1,file="",append=TRUE); + cat(Tmp2,file="",append=TRUE); + cat(Tmp3,file="",append=TRUE); +} + +######################################### + +Numptcrv<-function(Fig) +{ + return(Nrow(Fig)) +} + +# 2018.01.29 +Length<- function(Data){ + if(is.matrix(Data)){return(nrow(Data))} + if(is.character(Data)){return(nchar(Data))} + return(length(Data)) +} + +######################################### + +Op<-function(N,Data) +{ + C <- c() + if(length(Data)==0) return(C) + if(mode(Data)=="list"){ + if(class(Data)=="data.frame"){ # 10.02.23 + C<- Data[N,] + } + else{ + C<- Data[[N]] + } + return(C) + } + if(mode(Data)=="character"){ + if(length(Data)==1){ + C<- substring(Data,N,N) + } + else{ + C<- Data[N] + } + return(C) + } + if(mode(Data)=="numeric"){ + if(class(Data)=="matrix"){ + Din<- Dataindex(Data) + if(nrow(Din)==1){ + C<- Data[N,] + } + else{ + Tmp1<- Din[N,1] + Tmp2<- Din[N,2] + C<- Data[Tmp1:Tmp2,] + } + } + else{ + C=Data[N] + } + } + return(C) +} + +######################################### +# 2013.05.20 Changed ( Creator recorded) +# 2013.12.18 Beginpicture inclued + +Openfile<-function(...) +{ + varargin<- list(...) + File<- varargin[[1]] + Bflg<- 0 + Wfile<<- File + Creator<- "" + Cflg<- 0 + Nargs<- length(varargin) + for(N in Looprange(2,Nargs)){ + Tmp<- varargin[[N]] + Tmp1<- strsplit(Tmp,"=",fixed=TRUE) + Tmp1<- Tmp1[[1]] + if(length(Tmp1)>1){ + Creator<- Tmp1[2] + Cflg<- 1 + } + else{ + Unitstr<- Tmp + Bflg<- 1 + } + } + Recentf<- "" + Fv<- list.files() + Nv<- grep("\\.r$", Fv) + Rfiles<- Fv[Nv] + StrW<- paste("%%% ",File,sep="") #17.10.28 + StrC<- paste("%%% Generator=",Creator,sep="") + if(Cflg==0){ + } + cat(StrW,"\n",file=Wfile) + cat(StrC,"\n",file=Wfile,append=TRUE) + if(Bflg==1){ + Beginpicture(Unitstr) + } +} + +######################################### + +Openpar<- function(...) +{ + varargin<- list(...) + Nargs<- length(varargin) + Tmp<- varargin[[1]] + Tmp1<- substr(Tmp,1,1) + if(Tmp1=="\\"){ + Namestr<- Tmp + N<- 2 + } + else{ + Namestr<- "\\tmp" + N<- 1 + } + Habastr<- varargin[[N]] + if(Nargs>N){ + Posstr<- paste("[",varargin[[N+1]],"]",sep="") + } + else{ + Posstr<- "[c]" + } + Openphr(Namestr) + S<- paste("\\begin{minipage}",Posstr,"{",Habastr,"}%\n",sep="") + cat(S,file=Wfile,append=TRUE) +} + +################################### + +Openphr<- function(Str) +{ + S<- paste("\\def",Str,"{%\n",sep="") + cat(S,file=Wfile,append=TRUE) +} + +##################################### + +Ovalbox<- function(...) +{ + varargin<- list(...) + Nargs<- length(varargin) + Pos<- varargin[[1]] + Dr<- varargin[[2]] + StrV<- varargin[[3]] + R<- 0.2 + NDflg<- 0 + for (I in Looprange(4,Nargs)){ + Tmp<- varargin[[I]] + if(mode(Tmp)=="numeric"){ + R<- Tmp + } + else{ + if(substr(Tmp,1,1)=="-"){ + NDflg<- 1 + Tmp1<- substr(Tmp,2,nchar(Tmp)) + Cmdstr<- chartr("*","G",Tmp1) + } + } + } + Xr<- c(XMIN,XMAX) + Yr<- c(YMIN,YMAX) + Uv<- 0.6; Uh<- 0.8 + N<- nchar(StrV) + W<- Uh;H<- Uv*N + Setwindow(c(-W/2,W/2),c(-H,0)) + G<- Ovaldata(c(0,-H/2),W/2,H/2,R) + Openphr("\\ketpictmp") + Beginpicture("1cm") + if(NDflg==0){ + Drwline(G) + } + else{ + eval(parse(text=Cmdstr)) + } + for (I in Looprange(1,N)){ + Letter(c(0,Uv/2-Uv*I),"c",Op(I,StrV)) + } + Endpicture(0) + Closephr() + Setwindow(Xr,Yr) + Letter(Pos,Dr,"\\ketpictmp") +} + +########################################## + +Ovaldata<- function(...) #17.09.11 +{ + varargin<- list(...) + Nargs<- length(varargin) + if(Nargs==1){ + Eps<- 1.0*10^(-4) + C<- c((XMIN+XMAX)/2,(YMIN+YMAX)/2) + Dx<- XMAX-C(1)-Eps + Dy<- YMAX-C(2)-Eps + N<- 1 + } + else{ + C<- varargin[[1]] + Dx<- varargin[[2]] + Dy<- varargin[[3]] + N<- 4 + } + Rc<- 0.2 + if(N<=Nargs){ #15.11.15 + Rc<- varargin[[N]]*Rc #15.11.15 + } + Out<- c() + P<- C+c(Dx-Rc,Dy-Rc) + Tmp1<- Circledata(c(P,Rc),"R=c(0,pi/2)","N=10") #17.11.29 + Tmp2<- Listplot(C+c(Dx-Rc,Dy),C+c(0,Dy)) + Tmp3<- Listplot(C+c(Dx,0),C+c(Dx,Dy-Rc)) + G<- Joincrvs(Tmp3,Tmp1,Tmp2) + Tmp<- Reflectdata(G,c(C,C+c(0,1))) + G<- Joincrvs(G,Tmp) + Tmp<- Reflectdata(G,c(C,C+c(1,0))) + Out<- Joincrvs(G,Tmp) +} + +######################################### + +Paramark<- function(...) +{ + varargin<- list(...) + Nargs<- length(varargin) + PA<- varargin[[1]] + PB<- varargin[[2]] + PC<- varargin[[3]] + R<- 0.5 + if(Nargs>=4){ + R<- varargin[[4]]*R + } + U<- R*(PA-PB)/Norm(PA-PB) + V<- R*(PC-PB)/Norm(PC-PB) + if(Crossprod(PA-PB,PC-PB)!=0){ + P<- Listplot(c(PB+U,PB+U+V,PB+V)) + } + else{ + P<- c() + } +} + +########################################### + +Paramoncurve<-function(...){ + varargin<-list(...) + Nargs<-length(varargin) + Eps<-10^(-8) + P<-varargin[[1]] + Gdata<-varargin[[Nargs]] + if(Nrow(P)>1){ + Tmp<-P; P<-Gdata; Gdata<-Tmp + } + if(Nargs==2){ + Tmp<-Nearestpt(P,Gdata) + Out<-Tmp[[2]] + return(Out) + } + N<-varargin[[2]] + PtL<-Gdata + N=min(N,Length(PtL)-1) #18.02.11from + Pa<-Ptcrv(N,PtL) + Pb<-Ptcrv(N+1,PtL) + V<-Pb-Pa + W<-P-Pa + D2<-Norm(V)^2 + if(D2<Eps) return(0) + S<-Dotprod(V,W)/D2 + S<-min(max(S,0),1) + Out=N+S #18.02.11upto + return(Out) +} + +############################################## + +Paramplot<- function(...) +{ + varargin<- list(...) + Eps<- 10^(-5) + Nargs<- length(varargin) + Fnflg<- 0 + Fnstr<- varargin[[1]]; Is=2 + Rgstr<- varargin[[Is]]; Is<- Is+1 + Range<- c(0,2*pi) + N<- 50 # Numpoints + E<-c() # Exclusions + D<- Inf # Discont + for (I in Looprange(Is,Nargs)) + { + Tmp<- varargin[[I]] + Tmp<- strsplit(Tmp,"=") + K<- Tmp[[1]] + Tmp<- K[1] + Lhs<- substring(Tmp,1,1) + Tmp1<- K[2] + Str<-paste(Lhs,"=",Tmp1,sep="") + eval(parse(text=Str)) + } + Tmp<- strsplit(Rgstr,"=") + K<-Tmp[[1]] + if(length(K)>1) + { + Vname<- K[1] + Tmp1<- K[2] + Rng<- eval(parse(text=Tmp1)) + } + else + { + Vname<- Rgstr + Rng<- c(0,2*pi) + } + T1<- Rng[1]; T2<- Rng[2] + Dt<- (T2-T1)/N #17.09.22 + if(Fnflg==0) + { + Str<- gsub(Vname,"t",Fnstr) + } + if(abs(Dt)<Eps){ # 16.12.13 + t=T1 + P=eval(parse(text=Str)) + return(P) + } + P<-c() + if(length(E)>0) + { + E<-sort(E) + E<E[length(E):1] + } + E<- c(E, Inf) + Tmp<- sort(E) + E<- E[length(Tmp):1] + Ke<- 1 +# for (t in seq(T1, T2+Eps, by=Dt)){#18.02.05 + for(jj in 1:(N+1)){ + t=T1+(jj-1)*Dt + Pa<- c() + if(t-E[Ke]< Eps) + { + if(Fnflg==0) + { + Tmp<-eval(parse(text=Str)) + Pa<- Tmp + } + else + { + } + } + if(abs(t-E[Ke])<=Eps) + { + if(Nrow(P)>0 && Op(Nrow(P),P)!=c(Inf,Inf)) + { + Pa<- c(Inf,Inf) + } + } + if(t-E[Ke]>Eps) + { + if(Fnflg==0) + { + Tmp<- eval(parse(text=Str)) + Pa<- Tmp + } + else + { + } + Ke<-Ke+1 + } + if(length(Pa)>0) + { + if(Pa[1]==Inf) + { + Tmp<-Appendrow(P,Pa) + P<-Tmp + } + else + { + if(Nrow(P)==0) + { + Tmp<- Appendrow(P,Pa) + P<-Tmp + } + else + { + Tmp<- Op(Nrow(P),P) + if(Tmp[1]==Inf) + { + Tmp<- Appendrow(P,Pa) + P<- Tmp + } + else + { + if(Norm(Tmp-Pa)<D) + { + Tmp<-Appendrow(P,Pa) + P<-Tmp + } + else + { + Tmp<- Appendrow(P,c(Inf,Inf),Pa) + P<- Tmp + } + } + } + } + } + } + Tmp<- Nrow(P) + Tmp1<- Op(Tmp,P) + if(Tmp1[1]==Inf) + { + P<- P[1:(Tmp-1),] + } + return(P) +} + +##################################### + +Partcrv<- function(A,B,PkL) +{ + Eps<- 10.0^(-3) + if(mode(A)=="numeric" && length(A)==1){ + if(A>B+Eps){ + Npt<- Numptcrv(PkL) + Out1<- Partcrv(A,Npt,PkL) + Out2<- Partcrv(1,B,PkL) + Tmp<- Ptstart(PkL)-Ptend(PkL) + if(Norm(Tmp)<Eps){ + Ans<- Joincrvs(Out1,Out2) + } + else{ + Ans<- list(Out1,Out2) + } + return(Ans) + } + Is<- ceiling(A) + Ie<- floor(B) + PL<- c() + if(A<Is-Eps){ + P<- (Is-A)*PkL[Is-1,]+(1-Is+A)*PkL[Is,] + PL<- c(P) + } + PL<- Appendrow(PL, PkL[Looprange(Is,Ie),]) + if(B>Ie+Eps){ + P<- (1-B+Ie)*PkL[Ie,]+(B-Ie)*PkL[Ie+1,] + PL<- Appendrow(PL,P) + } + Ans<- PL + return(Ans) + } + Tmp<- Nearestpt(A,PkL) + Ta<- Op(2,Tmp) + Tmp<- Nearestpt(B,PkL) + Tb<- Op(2,Tmp) + Ans<- Partcrv(Ta,Tb,PkL) +} + +########################################## +# 13.05.03 + +Partframe<- function(Tb,St,Ed) +{ + G<- Dividetable(Tb) + Gw<- G[[1]] + Gt<- G[[2]] + Gy<- G[[3]] + Gwt<- Tb[[4]] + Gwy<- Tb[[5]] + Gat<- c(list(Gwt[[1]]),Gt,list(Gwt[[2]])) + Gay<- c(list(Gwy[[1]]),Gy,list(Gwy[[2]])) + Tmp1<- Ptstart(Gat[[St[1]]]) + Tmp2<- Ptstart(Gay[[St[2]]]) + Ps<- c(Tmp1[1],Tmp2[2]) + Tmp1<- Ptstart(Gat[[Ed[1]]]) + Tmp2<- Ptstart(Gay[[Ed[2]]]) + Pe<- c(Tmp1[1],Tmp2[2]) + Pars<- Paramoncurve(Ps,Gw) + Pare<- Paramoncurve(Pe,Gw) + if(Pars<Pare){ + Out<- Partcrv(Pars,Pare,Gw) + } + else{ + Tmp1<- Partcrv(Pars,Numptcrv(Gw),Gw) + Tmp2<- Partcrv(1,Pare,Gw) + Out<- Joincrvs(Tmp1,Tmp2) + } +return(Out) +} + + +########################################## +# 10.12.04 + +Plotdata<- function(...) +{ + varargin<- list(...) + Eps<- 10^(-5) + Fnstr<- varargin[[1]]; Is<- 2 + Fnflg<- 0 + Rgstr<- varargin[[Is]]; Is<- Is+1 + Tmp<- strsplit(Rgstr,"=") + K<-Tmp[[1]] + if(length(K)>1){ + Vname<- K[1] + Tmp1<- K[2] + Rng<- eval(parse(text=Tmp1)) + } + else{ + Vname<- Rgstr + Rng<- c(XMIN,XMAX) + } + N<- 50 # Numpoints + E<-c() # Exclusions + Exfun<- "" # Exclusion function + D<- Inf # Discont + for (I in Looprange(Is,length(varargin))){ + Tmp<- varargin[[I]] + Lhs<- substring(Tmp,1,1) + Tmp<- strsplit(Tmp,"=") + K<- Tmp[[1]] + Tmp1<- K[2] + Tmp2<- grep(Vname,Tmp1,fixed=TRUE) ## 10.12.04 + if(length(Tmp2)==0){ + Str<-paste(Lhs,"=",Tmp1,sep="") + eval(parse(text=Str)) + } + else{ + Exfun<-Tmp1 + } + } + X1<- Rng[1]; X2<- Rng[2] + dx<- (X2-X1)/N # 17.09.22 + if(Fnflg==0){ + Str<- gsub(Vname,"x",Fnstr,fixed=TRUE) + } + if(abs(dx)<Eps){ # Scilab 16.12.13 + x=X1 + P=c(X1,eval(parse(text=Str))) + return(P) + } + Exfun<- gsub(Vname,"x",Exfun,fixed=TRUE) + P<-c() + if(length(E)>0){ + E<-sort(E) + E<E[length(E):1] + } + E<- c(E, Inf) + Tmp<- sort(E) + E<- E[length(Tmp):1] + Ke<- 1 + for (x in seq(X1,X2,by=dx)){ + if(nchar(Exfun)>0){ + Tmp<-eval(parse(text=Exfun)) + if(abs(Tmp)<Eps){ + P<- Appendrow(P,c(Inf,inf)) + next + } + } + Pa<- c() + if(x-E[Ke]< -Eps){ ## 10.12.04 + Tmp<-eval(parse(text=Str)) + Pa<- c(x,Tmp) + } + if(abs(x-E[Ke])<=Eps){ + if(Nrow(P)>0 && P[Nrow(P),]!=c(Inf,Inf)){ + Pa<- c(Inf,Inf) + } + } + if(x-E[Ke]>Eps){ + Tmp<- eval(parse(text=Str)) + Pa<- c(x,Tmp) + Ke<-Ke+1 + } + if(length(Pa)>0){ + if(Pa[1]==Inf){ + Tmp<-Appendrow(P,Pa) + P<-Tmp + } + else{ + if(Nrow(P)==0){ + Tmp<- Appendrow(P,Pa) + P<-Tmp + } + else{ + Tmp<- P[Nrow(P),] + if(Tmp[1]==Inf){ + Tmp<- Appendrow(P,Pa) + P<- Tmp + } + else{ + if(Norm(Tmp-Pa)<D){ + Tmp<-Appendrow(P,Pa) + P<-Tmp + } + else{ + Tmp<- Appendrow(P,c(Inf,Inf),Pa) + P<- Tmp + } + } + } + } + } + } + Tmp<- Nrow(P) + Tmp1<-P[Tmp,] + if(Tmp1[1]==Inf) + { + P<- P[1:(Tmp-1),] + } + return(P) +} + +###################################### + +Pointoncurve<-function(...) +{ + varargin<-list(...) + Eps<-10^(-4) + T<-varargin[[1]] + Gdata<-varargin[[2]] + if(Nrow(T)>1) + { + Tmp<-T; T<-Gdata; Gdata<-Tmp + } + PtL<-Gdata + N<-trunc(T+Eps); + S<-max(T-N,0); + if(N==Nrow(PtL)) + { + Out<-PtL[N,] + } + else + { + Pa<-PtL[N,] + Pb<-PtL[N+1,] + Out<-(1-S)*Pa+S*Pb + } + return(Out) +} + +############################################## +# 10.11.20 +# 13.05.03 Inf + +Pointdata<-function(...) +{ + varargin<-list(...) + Nargs<-length(varargin) + PL<- list() + for (I in Looprange(1,Nargs)){ # 10.11.20 + DL<-varargin[[I]] + DL<- Flattenlist(DL) # 10.11.20 from here + for (J in Looprange(1,length(DL))){ + Dt<- DL[[J]] + if(is.matrix(Dt)|| is.data.frame(Dt)){ + for (K in 1:nrow(Dt)){ + Tmp<- as.numeric(Dt[K,]) + if(Tmp[1]<Inf){ + PL<- c(PL,list(Tmp)) + } + } + } + else{ + PL<- c(PL,list(Dt)) + } + } + } # to here + if(length(PL)==1) + { + PL<-PL[[1]] + } + return(PL) +} + +############################################## + +Prime<- function(...) +{ + varargin<- list(...) + if(length(varargin)==0){ + Out="'" + } + else{ + Out<- paste(varargin[[1]],"'",sep="") + } + return(Out) +} + +############################################ +# 17.09.29 + +Ptcrv<-function(N,Fig) +{ + if(is.matrix(Fig)){ + return(Fig[N,]) + } + else{ + return(Fig) + } +} + +######################################### + +Ptend<-function(Fig) +{ + if(Length(Fig)>0){ #18.02.09 + return(Op(Length(Fig),Fig)) + }else{ + return(c()) + } +} + +######################################### + +Ptne<-function(...) +{ + varargin<- list(...) + if(length(varargin)==0){ + Out<- c(XMAX,YMAX) + } + else{ + G<- varargin[[1]] + XM<- max(G[,1]) + YM<- max(G[,2]) + Out<- c(XM,YM) + } + return(Out) +} + +######################################### + +Ptnw<-function(...) +{ + varargin<- list(...) + if(length(varargin)==0){ + Out<- c(XMIN,YMAX) + } + else{ + G<- varargin[[1]] + Xm<- min(G[,1]) + YM<- max(G[,2]) + Out<- c(Xm,YM) + } + return(Out) +} + +######################################### + +Ptse<-function(...) +{ + varargin<- list(...) + if(length(varargin)==0){ + Out<- c(XMAX,YMIN) + } + else{ + G<- varargin[[1]] + XM<- max(G[,1]) + Ym<- min(G[,2]) + Out<- c(XM,Ym) + } + return(Out) +} + +############################################# + +Ptstart<-function(Fig) +{ + if(Length(Fig)>0){ #18.02.09 + return(Op(1,Fig)) + }else{ + return(c()) + } +} + +######################################### + +Ptsw<-function(...) +{ + varargin<- list(...) + if(length(varargin)==0){ + Out<- c(XMIN,YMAX) + } + else{ + G<- varargin[[1]] + Xm<- min(G[,1]) + Ym<- min(G[,2]) + Out<- c(Xm,Ym) + } + return(Out) +} + +############################################## + +Putcell<- function(...) +{ + varargin<- list(...) + Nargs<- length(varargin) + TbL<- varargin[[1]] + Str<- varargin[[Nargs]] + if(mode(Str)=="numeric"){ + Str<- as.character(Str) + } + Pos<- varargin[[Nargs-1]] + Nrg<- varargin[[2]] + if(mode(Nrg)=="character"){ + if(Nargs==4){ + Cell<- Findcell(TbL,Nrg) + } + else{ + Mrg<- varargin[[3]] + Cell<- Findcell(TbL,Nrg,Mrg) + } + } + else{ + Mrg<- varargin[[3]] + Cell<- Findcell(TbL,Nrg,Mrg) + } + Pt<- Cell[[1]]; Dr<- "c" + Posh<- substr(Pos,1,1) + Post<- substr(Pos,2,nchar(Pos)) + if(toupper(Posh)=="R"){ + Pt<- Pt+c(Cell[[2]],0) + if(nchar(Post)==0){ + Dr<- "w1" + } + else{ + Dr<- paste("w",Post,sep="") + } + } + if(toupper(Posh)=="L"){ + Pt=Pt-c(Cell[[2]],0) + if(nchar(Post)==0){ + Dr<- "e1" + } + else{ + Dr<- paste("e",Post,sep="") + } + } + if(toupper(Posh)=="U"){ + Pt<- Pt+c(0,Cell[[3]]) + if(nchar(Post)==0){ + Dr<- "s1" + } + else{ + Dr<- paste("s",Post,sep="") + } + } + if(toupper(Posh)=="D"){ + Pt<- Pt-c(0,Cell[[3]]) + if(nchar(Post)==0){ + Dr<- "n1" + } + else{ + Dr<- paste("n",Post,sep="") + } + } + if(toupper(Posh)=="B"){ + Pt<- Pt-c(0,Cell[[3]]) + if(nchar(Post)==0){ + Dr<- "n1" + } + else{ + Dr<- paste("n",Post,sep="") + } + Str<- paste("$\\mathstrut$",Str,sep="") + } + Letter(Pt,Dr,Str) +} + +############################################# + +PutcoL<- function(...) +{ + varargin<- list(...) + Nargs<- length(varargin) + TbL<- varargin[[1]] + if(mode(TbL)!="list"){ + return("Tabledata missing") + } + Ag<- varargin[[2]] + if(mode(Ag)=="numeric"){ + CoL<- Ag + } + else{ + Alpha<- "-ABCDEFGHIJKLMNOPQRSTUVWXYZ" + Clm<- c() + for (I in Looprange(1,nchar(Ag))){ + C<- substr(Ag,I,I) + C<- toupper(C) + Tmp<- strsplit(Alpha,C) + Tmp<- Tmp[[1]] + if(length(Tmp)>1){ + Tmp1<- nchar(Tmp[1]) + Clm<- c(Clm,Tmp1) + } + } + Nrg<- 0 + for (I in seq(length(Clm),1,by=-1)){ + Tmp<- Clm[I] + Tmp1<- length(Clm)-I + Nrg<- Nrg+Tmp*26^Tmp1 + } + CoL<- Nrg + } + Nc<- length(TbL[[3]])+1 + K<- 1 + Dpos<- varargin[[3]] + for (I in Looprange(4,Nargs)){ + if(I-3>Nc){ + break + } + Dt<- varargin[[I]] + if(mode(Dt)!="list"){ + Putcell(TbL,CoL,K,Dpos,Dt) # 2011.03.02 + K<- K+1 + } + else{ + N<- length(Dt) + Str<- Dt[[N]] + Rrng<- c(K,K+1) + Pos<- Dpos + for (J in Looprange(1,N-1)){ + Tmp<- Dt[[J]] + if(mode(Tmp)=="numeric"){ + Rrng<- c(K,K+Tmp) + } + if(mode(Tmp)=="character"){ + Pos<- Tmp + } + } + Putcell(TbL,CoL,Rrng,Pos,Str) + K<- Crng[2] + } + } +} + +Putcol<- function(...) +{ + PutcoL(...) +} + +PutcoLexpr<- function(...) +{ + varargin<- list(...) + Nargs<- length(varargin) + TbL<- varargin[[1]] + if(mode(TbL)!="list"){ + return("Tabledata missing") + } + Ag<- varargin[[2]] + if(mode(Ag)=="numeric"){ + CoL<- Ag + } + else{ + Alpha<- "-ABCDEFGHIJKLMNOPQRSTUVWXYZ" + Clm<- c() + for (I in Looprange(1,nchar(Ag))){ + C<- substr(Ag,I,I) + C<- toupper(C) + Tmp<- strsplit(Alpha,C) + Tmp<- Tmp[[1]] + if(length(Tmp)>1){ + Tmp1<- nchar(Tmp[1]) + Clm<- c(Clm,Tmp1) + } + } + Nrg<- 0 + for (I in seq(length(Clm),1,by=-1)){ + Tmp<- Clm[I] + Tmp1<- length(Clm)-I + Nrg<- Nrg+Tmp*26^Tmp1 + } + CoL<- Nrg + } + Nc<- length(TbL[[3]])+1 + K<- 1 + Dpos<- varargin[[3]] + for (I in Looprange(4,Nargs)){ + if(I-3>Nc){ + break + } + Dt<- varargin[[I]] + if(mode(Dt)!="list"){ + Dt<- paste("$",Dt,"$",sep="") + Putcell(TbL,CoL,K,Dpos,Dt) # 2011.03.02 + K<- K+1 + } + else{ + N<- length(Dt) + Str<- paste("$",Dt[[N]],"$",sep="") + Rrng<- c(K,K+1) + Pos<- Dpos + for (J in Looprange(1,N-1)){ + Tmp<- Dt[[J]] + if(mode(Tmp)=="numeric"){ + Rrng<- c(K,K+Tmp) + } + if(mode(Tmp)=="character"){ + Pos<- Tmp + } + } + Putcell(TbL,CoL,Rrng,Pos,Str) + K<- Crng[2] + } + } +} + +Putcolexpr<- function(...) +{ + PutcoLexpr(...) +} + +##################################################### + +PutcoLstr<- function(...) +{ + varargin<- list(...) + Nargs<- length(varargin) + Tb<- varargin[[1]] + Nr<- varargin[[2]] + Pos<- varargin[[3]] + Str<- varargin[[4]] + Sep<- "" + if(Nargs>4){ + Sep<- varargin[[5]] + } + if(nchar(Sep)==0){ + for (I in Looprange(1,nchar(Str))){ + Tmp<- substr(Str,I,I) + Putcell(Tb,Nr,I,Pos,Tmp) + } + } + else{ + Ltr<- "" + K<- 1 + for (I in Looprange(1,length(Str))){ + Tmp<- substr(Str,I,I) + if(Tmp==Sep){ + Putcell(Tb,Nr,K,Pos,Ltr) + K<- K+1 + Ltr<- "" + } + else{ + Ltr<- paste(Ltr,Tmp,sep="") + } + } + if(nchar(Ltr)>0){ + Putcell(Tb,Nr,K,Pos,Ltr) + } + } +} + +############################################# + +Putrow<- function(...) +{ + varargin<- list(...) + Nargs<- length(varargin) + TbL<- varargin[[1]] + if(mode(TbL)!="list"){ + return("Tabledata missing") + } + Row<- varargin[[2]] + Nr<- length(TbL[[2]])+1 + K<- 1 + Dpos<- varargin[[3]] + for (I in Looprange(4,Nargs)){ + if(I-3>Nr){ + break; + } + Dt<- varargin[[I]] + if(mode(Dt)!="list"){ + Putcell(TbL,K,Row,Dpos,Dt) # 110308 + K<- K+1 + } + else{ + N<- length(Dt) + Str<- Dt[[N]] + Crng<- c(K,K+1) + Pos<- Dpos + for (J in Looprange(1,N-1)){ + Tmp<- Dt[[J]] + if(mode(Tmp)=="numeric"){ + Crng<- c(K,K+Tmp) + } + if(mode(Tmp)=="character"){ + Pos<- Tmp + } + } + Putcell(TbL,Crng,Row,Pos,Str) + K<- Crng[2] + } + } +} + +Putrowexpr<- function(...) +{ + varargin<- list(...) + Nargs<- length(varargin) + TbL<- varargin[[1]] + if(mode(TbL)!="list"){ + return("Tabledata missing") + } + Row<- varargin[[2]] + Nr<- length(TbL[[2]])+1 + K<- 1 + Dpos<- varargin[[3]] + for (I in Looprange(4,Nargs)){ + if(I-3>Nr){ + break; + } + Dt<- varargin[[I]] + if(mode(Dt)!="list"){ + Dt<- paste("$",Dt,"$",sep="") + Putcell(TbL,K,Row,Dpos,Dt) #110308 + K<- K+1 + } + else{ + N<- length(Dt) + Str<- paste("$",Dt[[N]],"$",sep="") + Crng<- c(K,K+1) + Pos<- Dpos + for (J in Looprange(1,N-1)){ + Tmp<- Dt[[J]] + if(mode(Tmp)=="numeric"){ + Crng<- c(K,K+Tmp) + } + if(mode(Tmp)=="character"){ + Pos<- Tmp + } + } + Putcell(TbL,Crng,Row,Pos,Str) + K<- Crng[2] + } + } +} + +#################################################### + +Putrowstr<- function(...) +{ + varargin<- list(...) + Nargs<- length(varargin) + Tb<- varargin[[1]] + Nr<- varargin[[2]] + Pos<- varargin[[3]] + Str<- varargin[[4]] + Sep<- "" + if(Nargs>4){ + Sep<- varargin[[5]] + } + if(nchar(Sep)==0){ + for (I in Looprange(1,nchar(Str))){ + Tmp<- substr(Str,I,I) + Putcell(Tb,I,Nr,Pos,Tmp) + } + } + else{ + Ltr<- "" + K<- 1 + for (I in Looprange(1,length(Str))){ + Tmp<- substr(Str,I,I) + if(Tmp==Sep){ + Putcell(Tb,K,Nr,Pos,Ltr) + K<- K+1 + Ltr<- "" + } + else{ + Ltr<- paste(Ltr,Tmp,sep="") + } + } + if(nchar(Ltr)>0){ + Putcell(Tb,K,Nr,Pos,Ltr) + } + } +} + +############################################ +# 11.05.28 + +Ratiocmyk<- function(Color) +{ + if(is.numeric(Color)){ + return(Color) + } + R<- + switch(Color, + greenyellow=c(0.15,0,0.69,0), + yellow=c(0,0,1,0), + goldenrod=c(0,0.1,0.84,0), + dandelion=c(0,0.29,0.84,0), + apricot=c(0,0.32,0.52,0), + peach=c(0,0.5,0.7,0), + melon=c(0,0.46,0.5,0), + yelloworange=c(0,0.42,1,0), + orange=c(0,0.61,0.87,0), + burntorange=c(0,0.51,1,0), + bittersweet=c(0,0.75,1,0.24), + redorange=c(0,0.77,0.87,0), + mahogany=c(0,0.85,0.87,0.35), + maroon=c(0,0.87,0.68,0.32), + brickred=c(0,0.89,0.94,0.28), + red=c(0,1,1,0), + orangered=c(0,1,0.5,0), + rubinered=c(0,1,0.13,0), + wildstrawberry=c(0,0.96,0.39,0), + salmon=c(0,0.53,0.38,0), + carnationpink=c(0,0.63,0,0), + magenta=c(0,1,0,0), + violetred=c(0,0.81,0,0), + rhodamine=c(0,0.82,0,0), + mulberry=c(0.34,0.9,0,0.02), + redviolet=c(0.07,0.9,0,0.34), + fuchsia=c(0.47,0.91,0,0.08), + lavender=c(0,0.48,0,0), + thistle=c(0.12,0.59,0,0), + orchid=c(0.32,0.64,0,0), + darkorchid=c(0.4,0.8,0.2,0), + purple=c(0.45,0.86,0,0), + plum=c(0.5,1,0,0), + violet=c(0.79,0.88,0,0), + royalpurple=c(0.75,0.9,0,0), + blueviolet=c(0.86,0.91,0,0.04), + periwinkle=c(0.57,0.55,0,0), + cadetblue=c(0.62,0.57,0.23,0), + cornflowerblue=c(0.65,0.13,0,0), + midnightblue=c(0.98,0.13,0,0.43), + navyblue=c(0.94,0.54,0,0), + royalblue=c(1,0.5,0,0), + blue=c(1,1,0,0), + cerulean=c(0.94,0.11,0,0), + cyan=c(1,0,0,0), + processblue=c(0.96,0,0,0), + skyblue=c(0.62,0,0.12,0), + turquoise=c(0.85,0,0.2,0), + tealblue=c(0.86,0,0.34,0.02), + aquamarine=c(0.82,0,0.3,0), + bluegreen=c(0.85,0,0.33,0), + emerald=c(1,0,0.5,0), + junglegreen=c(0.99,0,0.52,0), + seagreen=c(0.69,0,0.5,0), + green=c(1,0,1,0), + forestgreen=c(0.91,0,0.88,0.12), + pinegreen=c(0.92,0,0.59,0.25), + limegreen=c(0.5,0,1,0), + yellowgreen=c(0.44,0,0.74,0), + springgreen=c(0.26,0,0.76,0), + olivegreen=c(0.64,0,0.95,0.4), + rawsienna=c(0,0.72,1,0.45), + sepia=c(0,0.83,1,0.7), + brown=c(0,0.81,1,0.6), + tan=c(0.14,0.42,0.56,0), + gray=c(0,0,0,0.5), + black=c(0,0,0,1), + white=c(0,0,0,0) + ) + if(length(R)<4){ + print("No color") + return(c()) + } + return(R) +} + +############################################ +# 11.01.07 + +Readtextdata<- function(...) +{ + varargin<- list(...) + OutL<- list() + Nargs<- length(varargin) + Fname<- varargin[[1]] + Tmp<- readLines(Fname,n=1) + if(length(grep("\t",Tmp))>0){ + Sep<- "\t" + } + else if(length(grep(",",Tmp))>0){ + Sep<- "," + } + else{ + Sep<- " " + } + Hajime<- c(1,1) + Owari<- c(Inf,Inf) + C<- Inf + R<- Inf + Rna<- FALSE + Cna<- TRUE + Mat<- FALSE + Num<- TRUE + D<- -Inf + Flg<- 0 + for (I in Looprange(2,Nargs)){ + Tmp<- varargin[[I]] + if(mode(Tmp)=="numeric"){ + if (Flg==0){ + Hajime<- Tmp + Flg<- 1 + } + else{ + Owari<- Tmp + } + } + else{ + eval(parse(text=Tmp)) + } + } + Tmp<- Hajime+c(R-1,C-1) + Owari<- c(min(Owari[1],Tmp[1]),min(Owari[2],Tmp[2])) + if(Cna){ + Df<- read.table(Fname,sep=Sep,header=TRUE,,stringsAsFactors=FALSE) + } + else{ + Df<- read.table(Fname,sep=Sep,header=FALSE,,stringsAsFactors=FALSE) + Nv<- c(1:ncol(Df)) + colnames(Df)<- Nv + } + if(Rna){ + rownames(Df)<-Df[,1] + Hajime<- Hajime+c(0,1) + } + if(Mat){ + M<- as.matrix(Df) + Tmp1<- min(Owari[1],nrow(M)) + Tmp2<- min(Owari[2],ncol(M)) + Out<- as.matrix(M[Hajime[1]:Tmp1,Hajime[2]:Tmp2]) + if(Num){ + Tmp1<- as.numeric(Out) + Out<- matrix(Tmp1,nrow=nrow(Out)) + } + } + else{ + Tmp1<- min(Owari[1],nrow(Df)) + Tmp2<- min(Owari[2],ncol(Df)) + Out<- Df[Hajime[1]:Tmp1,Hajime[2]:Tmp2] + } + if(D!=-Inf){ # 11.01.20 v2 + Tmp<- ncol(Out) # 11.01.07 + Tmp1<- rep(Inf,Tmp) + Out[Out[,1]<=D,]<- Tmp1 # 11.01.07 + } + return(Out) +} + +################################## + +Reflectdata<- function(...) +{ + varargin<- list(...) + Nargs<- length(varargin) + Eps<- 10^(-8) + ML<- varargin[[1]] + if(Mixtype(ML)==1){ + ML<- list(ML) + } + if(Nargs==1){ + PtA<- c(0,0); PtB<- PtA + } + else{ + Pts<- varargin[[2]] + if(length(Pts)==2){ + PtA<- Pts; PtB<- PtA + } + else{ + PtA<- Pts[1:2]; PtB<- Pts[3:4] + } + } + OutL<- list() + for (N in Looprange(1,length(ML))){ + GL<- Op(N,ML) + Out<- c() + for (I in Looprange(1,Nrow(GL))){ + if(is.matrix(GL)){ # 10.12.07 + Tmp<- GL[I,] + } + else{ + Tmp<- GL + } + X1<- Tmp[1] + Y1<- Tmp[2] + if(X1==Inf){ + X2<- X1 + Y2<- Y1 + } + else{ + if(Norm(PtA-PtB)<Eps){ + X2<- 2*PtA[1]-X1 + Y2<- 2*PtA[2]-Y1 + } + else{ + U<- PtB[1]-PtA[1] + V<- PtB[2]-PtA[2] + A<- PtA[1] + B<- PtA[2] + X2<- (U^2-V^2)/(U^2+V^2)*X1+2*U*V/(U^2+V^2)*Y1 + X2<- X2-2*V*(U*B-V*A)/(U^2+V^2) + Y2<- 2*U*V/(U^2+V^2)*X1-(U^2-V^2)/(U^2+V^2)*Y1 + Y2<- Y2+2*U*(U*B-V*A)/(U^2+V^2) + } + } + Out<- Appendrow(Out,c(X2,Y2)) + } + OutL<- Mixjoin(OutL,list(Out)) + } + if(length(OutL)==1){ + OutL<- Op(1,OutL) + } + return(OutL) +} + +########################################## + +Writetextdata<- function(...) +{ + varargin<- list(...) + OutL<- list() + Nargs<- length(varargin) + Data<- varargin[[1]] + Fname<- varargin[[2]] + Sep="," + for (I in Looprange(3,Nargs)){ + Tmp<- varargin[[I]] + eval(parse(text=Tmp)) + } + write.table(Data,Fname,sep=Sep,row.names=FALSE,na="") +} + +########################################## +# 2014.12.17 +# 2015.10.29 + +WriteOutData<- function(...){ + varargin<- list(...) + Nargs<- length(varargin) +# if modulo(Nargs,2)==0 then +# Fname=Fnameout; +# Nst=1; +# else + Fname=varargin[[1]] + Nst=2; +# end; + for(N in seq(Nst,Nargs,by=2)){ + Gname=varargin[[N]] + Tmp=paste(Gname,"//",sep="") + if(N==Nst){ + cat(Tmp,"\n",sep="",file=Fname) + } + else{ + cat(Tmp,"\n",sep="",file=Fname,append=TRUE) + } + Gdata=varargin[[N+1]] + Gdata=Flattenlist(Gdata) + if(!is.list(Gdata)){Gdata=list(Gdata)} + for(K in Looprange(1,length(Gdata))){ + GL=Dividegraphics(Gdata[[K]]) +# for(J in seq(1,length(GL))){ + for(J in Looprange(1,length(GL))){ + cat("start//","\n",sep="",file=Fname,append=TRUE) + Str="" + Iend=Numptcrv(GL[[J]]) +# for(II in seq(1,Iend)){ + for(II in Looprange(1,Iend)){ + Pt=Ptcrv(II,GL[[J]]) + if(nchar(Str)>0){ + Str=paste(Str,",",sep="") + } + if(length(Pt)<3){ + Str=paste(Str,sprintf("[%5.5f,%5.5f]",Pt[1],Pt[2]),sep="") + } + else{ + Str=paste(Str,sprintf("[%5.5f,%5.5f,%5.5f]",Pt[1],Pt[2],Pt[3]),sep="") + } + if(nchar(Str)>80){ + cat("[",Str,"]//","\n",sep="",file=Fname,append=TRUE) + Str="" + } + } + if(nchar(Str)>0){ + cat("[",Str,"]//","\n",sep="",file=Fname,append=TRUE) + } + if((N==Nargs-1) & (K==length(Gdata)) & (J==length(GL))){ +# cat("end////","\n",sep="",file=Fname,append=TRUE) + cat("end//","\n",sep="",file=Fname,append=TRUE) + } + else{ + cat("end//","\n",sep="",file=Fname,append=TRUE) + } + } + } + } + cat("//","\n",sep="",file=Fname,append=TRUE) # 15.11.05 +} + +###### Old #################################### +# 2015.10.23 +ReadOutData<- function(...){ + varargin<- list(...) + Nargs<- length(varargin) + Fname=varargin[[1]] + cmdall=readLines(Fname) + cmdall=gsub("//","",cmdall,fixed=TRUE) + varname=cmdall[1] + outdt=list() + varL=c() + ptL=list() + flg=0 + for(cmd in cmdall){ + if(nchar(cmd)>0){ + if((cmd=="start") | cmd=="end" | substring(cmd,1,1)=="["){ + if(cmd=="start"){ + pts=c() + } + if(cmd=="end"){ + ptL=c(ptL,list(pts)) + } + if(substring(cmd,1,1)=="["){ + tmp1=paste(",",substring(cmd,2,nchar(cmd)-1),sep="") + tmp1=strsplit(tmp1,"]",fixed=TRUE) + tmp1=tmp1[[1]] + tmp1=gsub(",[","c(",tmp1,fixed=TRUE) + for(st in tmp1){ + tmp=eval(parse(text=paste(st,")",sep=""))) + pts=rbind(pts,tmp) + } + row.names(pts)=1:nrow(pts) + } + } + else{ + varname=cmd + varL=c(varL,varname) + if(flg==0){ # 17.10.07from + flg=1 + }else{ + outdt=c(outdt,list(ptL)) + } # 17.10.07upto + ptL=c() + } + } + } + outdt=c(outdt,list(ptL)) # 17.10.07 + names(outdt)=varL + for(var in varL){ + tmp=paste(var,"<<- outdt$",var,sep="") + eval(parse(text=tmp)) + } +# print(varL) + outdt +} + +#################################################### + +ReadOutData<- function(...){ #2017.10.23 + varargin<- list(...) + Nargs<- length(varargin) + Fname=varargin[[1]] + cmdall=readLines(Fname) + cmdall=gsub("//","",cmdall,fixed=TRUE) + varname=""#17.12.13 cmdall[1] + outdt=list() + varL=c() + ptL=list() + flg=0 + for(cmd in cmdall){ + if(nchar(cmd)>0){ + if((cmd=="start") | cmd=="end" | substring(cmd,1,1)=="["){ + if(cmd=="start"){ + tmp=paste(varname,"<<- c(",varname,",list(c()))",sep="") + eval(parse(text=tmp)) + Ctr=Ctr+1 + } + if(cmd=="end"){ + } + if(substring(cmd,1,1)=="["){ + tmp1=paste(",",substring(cmd,2,nchar(cmd)-1),sep="") + tmp1=strsplit(tmp1,"]",fixed=TRUE) + tmp1=tmp1[[1]] + tmp1=gsub(",[","c(",tmp1,fixed=TRUE) + for(st in tmp1){ + tmp=paste(varname,"[[",as.character(Ctr),"]]",sep="") + tmp=paste(tmp,"<<- rbind(",tmp,",",st,"))",sep="")# + eval(parse(text=tmp)) + } + } + } + else{ + # 17.12.13from + if(nchar(varname)>0){ + tmp=paste("if(length(",varname,")==1){",varname,"<<- ",varname,"[[1]]}",sep="") + eval(parse(text=tmp)) + } + # 17.12.13upto + varname=cmd + tmp=paste(varname,"<<- list()",sep="") + eval(parse(text=tmp)) + Ctr=0 + if(flg==0){ # 17.10.07from + flg=1 + }else{ + } # 17.10.07upto + } + } + } + # 17.12.13from + tmp=paste("if(length(",varname,")==1){",varname,"<<- ",varname,"[[1]]}",sep="") + eval(parse(text=tmp)) + # 17.12.13upto +} + +#################################################### + +Rotatedata<- function(..., deg=FALSE) +{ + varargin<- list(...) + Nargs<- length(varargin) + Eps<- 10^(-8) + ML<- varargin[[1]] + if(Mixtype(ML)==1){ + ML<- list(ML) + } + Theta<- varargin[[2]] + if(deg) Theta<- Theta*pi/180 # 10.12.07 + if(Nargs==2){ + Pt<- c(0,0) + } + else{ + Pt<- varargin[[3]] + } + Cx<- Pt[1]; Cy<- Pt[2] + OutL<- c() + for (N in Looprange(1,length(ML))){ + GL<- Op(N,ML) + Out<- c() + for (I in Looprange(1,Nrow(GL))){ + if(is.matrix(GL)){ + Tmp<- GL[I,] + } + else{ + Tmp<- GL + } + X1<- Tmp[1] + Y1<- Tmp[2] + if(X1==Inf){ + X2<- X1 + Y2<- Y1 + } + else{ + X2<- Cx+(X1-Cx)*cos(Theta)-(Y1-Cy)*sin(Theta) + Y2<- Cy+(X1-Cx)*sin(Theta)+(Y1-Cy)*cos(Theta) + } + Out<- Appendrow(Out,c(X2,Y2)) + } + if(nrow(Out)==1){ + Out<- Out[1,] + } + OutL<- Mixjoin(OutL,list(Out)) + } + if(length(OutL)==1){ + OutL<- Op(1,OutL) + } + return(OutL) +} + +############################################### + +Scaledata<- function(...) +{ + varargin<- list(...) + Nargs<- length(varargin) + Eps<- 10^(-8) + ML<- varargin[[1]] + if(Mixtype(ML)==1){ + ML<- list(ML) + } + A<- varargin[[2]] + B<- varargin[[3]] + if(Nargs==3){ + Pt<- c(0,0) + } + else{ + Pt<- varargin[[4]] + } + OutL<- list() + for (N in Looprange(1,length(ML))){ + GL<- Op(N,ML) + Out<- c() + for (I in Looprange(1,Nrow(GL))){ + if(is.matrix(GL)){ # 10.12.07 + Tmp<- GL[I,] + } + else{ + Tmp<- GL + } + X1<- Tmp[1] + Y1<- Tmp[2] + if(X1==Inf){ + X2<- X1 + Y2<-Y1 + } + else{ + X2<- Pt[1]+A*(X1-Pt[1]) + Y2<- Pt[2]+B*(Y1-Pt[2]) + } + Out<- Appendrow(Out,c(X2,Y2)) + } + OutL<- Mixjoin(OutL,list(Out)) + } + if(length(OutL)==1){ + OutL<- Op(1,OutL) + } + return(OutL) +} + +################################ + +Setarrow<- function(...) +{ + varargin<- list(...) + Nargs<- length(varargin) + if(Nargs==0){ + Str<- paste("Size=",YaSize,",","Angle=",YaAngle,",",sep="") + Str<- paste(Str,"Position=",YaThick,",","Style=",YaStyle,sep="") + return(Str) + } + Flg<- 0 + for (I in 1:Nargs){ + Tmp<- varargin[[I]] + if(mode(Tmp)=="numeric"){ + Flg<- Flg+1 + if(Flg==1) YaSize<<-Tmp + if(Flg==2){ + if(Tmp<5){ + YaAngle<<- 18*Tmp + } + else{ + YaAngle<<- Tmp + } + } + if(Flg==3) YaPosition<<- Tmp + if(Flg==4) YaThick<<- Tmp + } + if(mode(Tmp)=="character"){ + YaStyle<<- Tmp + } + } +} + +#################################### + +Setax<- function(...) +{ + varargin<- list(...) + Nargs<- length(varargin) + if(Nargs==0){ + if(ZIKU=="line"){ + Tmp<- "," + } + else{ + Tmp<- paste("(Arrowsize=", as.character(ARROWSIZE),"),",sep="") + } + Str<- paste(ZIKU,Tmp,XNAME,",",XPOS,",",sep="") + Str<- paste(Str,YNAME,",",YPOS,",",ONAME,",",OPOS,sep="") + return(Str) + } + ArgL<- c() + Is<- 1 + Tmp<- varargin[[1]] + if(mode(Tmp)=="numeric" && length(Tmp)==1){ + Is<- varargin[[1]] + ArgL<- c() + for (I in Looprange(1,Is-1)){ + ArgL<- c(ArgL,"") + } + for (I in Looprange(2,Nargs)){ + ArgL<- c(ArgL,varargin[[I]]) + } + } + else{ + if(Nargs==1){ + ArgL<- c(varargin[[1]]) + } + else{ + Tmp<- varargin[[2]] + if(mode(Tmp)=="numeric" && length(Tmp)==1){ + ARROWSIZE<<-Tmp + ArgL<- c(varargin[[1]]) + for (I in Looprange(3,Nargs)){ + ArgL<- c(ArgL,varargin[[I]]) + } + } + else{ + ArgL<- c() + for (I in 1:Nargs){ + ArgL<- c(ArgL,varargin[[I]]) + } + } + } + } + for (I in Looprange(length(ArgL)+1,7)){ + ArgL<- c(ArgL,"") + } + Zk<- ArgL[1] + if(nchar(Zk)>0){ + ZL<-substr(Zk,2,nchar(Zk)) + Zk<-substr(Zk,1,1) + if(nchar(ZL)>0){ + ARROWSIZE<<- as.numeric(ZL) + } + } + Xn<- ArgL[2]; Xp<- ArgL[3] + Yn<- ArgL[4]; Yp<- ArgL[5] + Genn<- ArgL[6]; Genp<- ArgL[7] + if(nchar(Zk)>0){ + C<- Zk + if(C=="a"){ + ZIKU<<- "arrow" + } + else{ + ZIKU<<- "line" + } + } + if(nchar(Xn)>0){ + XNAME<<- paste("$",Xn,"$",sep="") + } + if(nchar(Xp)>0){ + XPOS<<- Xp + } + if(nchar(Yn)>0){ + YNAME<<- paste("$",Yn,"$",sep="") + } + if(nchar(Yp)>0){ + YPOS<<-Yp + } + if(nchar(Genn)>0){ + ONAME<<- Genn + } + if(nchar(Genp)>0){ + OPOS<<- Genp + } + Out<- ""; +} + +################################# +# 11.08.24 + +Setcolor<- function(...){ + varargin<- list(...) + Color<- 'black' + Kosa<- 1 + for(J in Looprange(1,length(varargin))){ + Tmp<- varargin[[J]] + if(is.character(Tmp)) Color<- Tmp + if(is.numeric(Tmp)){ + if(length(Tmp)==1){# 11.08.24 + Kosa<- Tmp + } + else{ + Color<- Tmp + } + }# 11.08.24 + } + Iro<- Ratiocmyk(Color) + if(length(Iro)==0) return(c()) + Str<- "\\color[cmyk]{" #17.09.22 + for(J in 1:4){ + Str<- paste(Str,as.character(Kosa*Iro[J]),sep="") + if(J<4){ + Str<- paste(Str,",",sep="") + } + } + Str<- paste(Str,"}",sep="") + Texcom(Str) +} + +################################## + +Setmarklen<- function(...) +{ + varargin<- list(...) + Nargs<- length(varargin) + if(Nargs==0){ + Tmp<- MARKLENNow/MARKLENInit + Tmp=round(Tmp*100)/100 + return(Tmp) + } + Size<- varargin[[1]] + MARKLENNow<<- MARKLENInit*Size + MARKLEN<<- MARKLENNow*1000/2.54/MilliIn +} + +############################### + +Setorigin<- function(...) +{ + varargin<- list(...) + Nargs<- length(varargin) + if(Nargs==0){ + return(GENTEN) + } + Pt<- varargin[[1]] + GENTEN<<- Pt; +} + +################################ + +Setscaling<- function(...) +{ + varargin<- list(...) + Nargs<- length(varargin) + if(Nargs==0) + { + return(c(SCALEY,LOGX,LOGY)) + } + for (I in 1:Nargs) + { + Tmp<- varargin[[I]] + if(mode(Tmp)=="numeric") + { + SCALEY<<- Tmp + } + if(mode(Tmp)=="character") + { + if(Tmp=="l") + { + LOGX<<- 0 + LOGY<<- 1 + } + else if(Tmp=="ll") + { + LOGX<<- 1 + LOGY<<- 1 + } + else + { + LOGX<<- 0 + LOGY<<- 0 + } + } + } + Tmp<- c(SCALEY,LOGX,LOGY); +} + +######################################### + +Setpen<-function(Width) +{ + PenThick<<-round(PenThickInit*Width) + Str=paste("\\special{pn ", as.character(PenThick),"}%\n",sep="") + cat(Str,file=Wfile,append=TRUE) +} + +############################################## + +Setpt<- function(...) +{ + varargin<- list(...) + Nargs<- length(varargin) + if(Nargs==0) + { + Tmp<- TenSize/TenSizeInit + Tmp<- round(Tmp*100)/100 + return(Tmp) + } + Size<- varargin[[1]] + TenSize<<- TenSizeInit*Size; +} + +############################################## + +Setunitlen<-function(...) +{ + varargin<-list(...) + if(length(varargin)==0){ + return(ULEN) + } + Ul=varargin[[1]] + Dx<-XMAX-XMIN + Dy<-YMAX-YMIN + Sym<-".0123456789 +-*/" + SL<-Sym + OL<-"+-*/" + if(nchar(Ul)>0){ + ULEN<<-Ul + } + Is<-1 + VL<-"" + Ucode<-ULEN + for (I in 1:nchar(Ucode)){ + C<-substring(Ucode,I,I) + if(length(grep(C,SL))>0){ + if(length(grep(C,OL))>0){ + Tmp<-substring(Ucode,Is,I-1) + Str<-paste(VL,Tmp,C,sep="") + VL<-Str + Is<-I+1 + } + } + else{ + Unit<-substring(Ucode,I,I+1) + Str<-substring(Ucode,Is,I-1) + VL<-paste(VL,Str,sep="") + break; + } + } + Valu<-eval(parse(text=VL)) + Str<-as.character(Valu) + ULEN<<-paste(Str,Unit,sep=""); + if(Unit=="cm") MilliIn<<-1000/2.54*Valu + if(Unit=="mm") MilliIn<<-1000/2.54*Valu/10 + if(Unit=="in") MilliIn<<-1000*Valu + if(Unit=="pt") MilliIn<<-1000/72.27*Valu + if(Unit=="pc") MilliIn<<-1000/6.022*Valu + if(Unit=="bp") MilliIn<<-1000/72*Valu + if(Unit=="dd2") MilliIn<<-1000/1238/1157/72.27*Valu + if(Unit=="cc") MilliIn<<-1000/1238/1157/72.27*12*Valu + if(Unit=="sp") MilliIn<<-1000/72.27/65536*Valu/10 + MARKLEN<<-MARKLENNow*1000/2.54/MilliIn + MEMORI<<-MEMORINow*1000/2.54/MilliIn #17.12.17 +} + +######################################### +# 10.11.20 + +Setwindow<-function(...) +{ + varargin<-list(...) + Nargs<-length(varargin) + if(Nargs==0){ + Out<-c(XMIN,XMAX,YMIN,YMAX) + return(Out) + } + if(Nargs==1){ + Dt<- varargin[[1]] + if(is.list(Dt) && !is.data.frame(Dt)){ + Tmp<- as.data.frame(Dt) + Dt<- t(Tmp) + } + Xm<- min(Dt[,1]) + XM<- max(Dt[,1]) + Ym<- min(Dt[,2]) + YM<- max(Dt[,2]) + Str<- "Setwindow(" + Str<- paste(Str,"c(",as.character(Xm),",",as.character(XM),"),c(",sep="") + Str<- paste(Str,as.character(Ym),",",as.character(YM),")",sep="") + Str<- paste(Str,")",sep="") + print(Str) + } + if(Nargs==2){ + RgX<-varargin[[1]] + RgY<-varargin[[2]] + XMIN<<-RgX[1]; XMAX<<-RgX[2] + YMIN<<-RgY[1]; YMAX<<-RgY[2] + } + if(Nargs==4){ + XMIN<<-varargin[[1]]; XMAX<<-varargin[[2]] + YMIN<<-varargin[[3]]; YMAX<<-varargin[[4]] + } + Out<- c(XMIN,XMAX,YMIN,YMAX); +} + +######################################### + +Shade<- function(...) +{ ## Scaling is implemented + varargin<- list(...) + Nargs<- length(varargin) + Iroflg=0 + Kosa=1 + if(Nargs>1){ + Iro=varargin[[Nargs]] + if(is.character(Iro)){ + Iroflg=1 + if(length(grep("{",Iro))>0){ + Str=paste("{\\color",Iro,sep="") + } + else{ + Str=paste("{\\color{",Iro,"}",sep="") + } + } + else{ + if(length(Iro)==1){ + Kosa=Iro + } + else{ + Iroflg=1 + if(length(Iro)==4){ + Str="{\\color[cmyk]{" + } + else{ + if(length(Iro)==3){ + Str="{\\color[rgb]{" + } + } + for(J in 1:length(Iro)){ + Str=paste(Str,as.character(Iro[J]),sep="") + if(J<length(Iro)){ + Str=paste(Str,",") + } + } + Str=paste(Str,"}") + } + } + if(Iroflg==1){ + Str=paste(Str,"%\n",sep="") + cat(Str,file=Wfile,append=TRUE) + } + } + Tmp=varargin[[1]] + Data=Kyoukai(Tmp) + for (I in Looprange(1, length(Data))){ + PL<- Op(I,Data) + Mojisu<- 0 + for (J in 1:Nrow(PL)){ + P<- Doscaling(Op(J,PL)) + X<- as.character(round(MilliIn*P[1])) + Y<- as.character(-round(MilliIn*P[2])) + Str<- paste("\\special{pa ",X," ",Y,"}",sep="") + cat(Str,file=Wfile,append=TRUE) + Mojisu<- Mojisu+nchar(Str) + if(Mojisu>80){ + cat("%\n",file=Wfile,append=TRUE) + Mojisu<- 0 + } + } + Str1<- paste("\\special{sh ",as.character(Kosa),"}",sep="") + Str2<- paste("\\special{ip}%\n",sep="") + cat(Str1,file=Wfile,append=TRUE) + cat(Str2,file=Wfile,append=TRUE) + } + if(Iroflg==1){ + cat("}%\n",file=Wfile,append=TRUE) + } +} + +####### Shade new 17.09.24############ + +Shade<- function(...) +{ ## Scaling is implemented + varargin<- list(...) + Nargs<- length(varargin) + Iroflg<- 0 + Kosa<- 1 + if(Nargs>1){ + Iro<- varargin[[Nargs]] + if(mode(Iro)=="character"){ + Iroflg<- 1 + if(length(grep(Iro,"{"))>0) + Str<- paste("{\\color",Iro,sep="") + else + Str<- paste("{\\color{",Iro,"}",sep="") + } + else{ + if(length(Iro)==1) + Kosa<- Iro + else{ + Iroflg<- 1 + if(length(Iro)==4) + Str<- paste("{\\color[cmyk]{",sep="") + else + if(length(Iro)==3) + Str<- paste("{\\color[rgb]{",sep="") + for (J in Looprange(1,length(Iro))){ + Str<- paste(Str,as.character(Iro[J]),sep="") + if(J<length(Iro)) + Str<- paste(Str,",",sep="") + } + Str<- paste(Str,"}",sep="") + } + } + if(Iroflg==1){ + if(Wfile=="default") + cat(Str,"%\n",file="",append=TRUE,sep="") + else + cat(Str,"%\n",file=Wfile,append=TRUE,sep="") + } + } + Tmp<- varargin[[1]] + Data<- Kyoukai(Tmp) + for (I in Looprange(1, length(Data))){ + PL<- Op(I,Data) + Mojisu<- 0 + for (J in 1:Nrow(PL)){ + P<- Doscaling(Op(J,PL)) + X<- as.character(round(MilliIn*P[1])) + Y<- as.character(-round(MilliIn*P[2])) + Str<- paste("\\special{pa ",X," ",Y,"}",sep="") + if(Wfile=="default") + cat(Str,file="",append=TRUE,sep="") + else + cat(Str,file=Wfile,append=TRUE,sep="") + Mojisu<- Mojisu+nchar(Str) + if(Mojisu>80){ + if(Wfile=="default") + cat("%\n",file="",append=TRUE,sep="") + else + cat("%\n",file=Wfile,append=TRUE,sep="") + Mojisu<- 0 + } + } + Str1<- paste("\\special{sh ",as.character(Kosa),"}",sep="") + Str2<- paste("\\special{ip}%\n",sep="") + if(Wfile=="default"){ + cat(Str1,file="",append=TRUE,sep="") + cat(Str2,file="",append=TRUE,sep="") + } + else{ + cat(Str1,file=Wfile,append=TRUE,sep="") + cat(Str2,file=Wfile,append=TRUE,sep="") + } + } + if(Iroflg==1){ + if(Wfile=="default") + cat("}%\n",file="",append=TRUE,sep="") + else + cat("}%\n",file=Wfile,append=TRUE,sep="") + } +} + +############################################## +# 11.01.07 + +Splinedata<- function(...) +{ + varargin<- list(...) + Nargs<- length(varargin) + Eps<- 10^(-3) + PL<- varargin[[1]] + if(mode(PL)=="character"){ + Fname<- PL + PL<- Readtextdata(Fname) + } + else{ + PL<- as.matrix(PL) + if(Nrow(PL)==1){ + PL<- matrix(PL, nrow=length(PL)/2) + PL<- t(PL) + } + } + if(ncol(PL)==3){ + Flg3<- 1 + } + else{ + Flg3<- 0 + } + PLL<- Dividegraphics(PL) + N<- 50 + C<- c() + for (I in Looprange(2,Nargs)){ + Tmp<- varargin[[I]] + if(mode(Tmp)!="character") next + if(length(grep("=",Tmp,fixed=TRUE))>0){ + eval(parse(text=Tmp)) + } + else{ + Tmp1<- substr(Tmp,1,1) + if(toupper(Tmp1)=="C"){ + C<- 1:length(PLL) + } + } + } + Cflg<- rep(0,length(PLL)) + for(J in Looprange(1,length(C))){ + K<- C[J] + Cflg[K]<- 1 + } + if(length(N)>1){ + Nj<- as.numeric(N) + } + else{ + Tmp<- lapply(PLL,nrow) + Tmp1<- as.numeric(Tmp) + MxP<- max(Tmp1) + Nj<- c() + for (J in 1:length(PLL)){ + Tmp<- nrow(PLL[[J]]) + Tmp1<- round(N/MxP*(Tmp-1)) + Nj<- c(Nj,Tmp1) + } + } + OutL<- list() + for(J in 1:length(PLL)){ + PL<- PLL[[J]] + if(Cflg[J]==1){ + if(Norm(PL[1,]-PL[Nrow(PL),])>Eps){ + PL<-Appendrow(PL,PL[1,]) + Nj[J]=round(N/MxP*nrow(PL)) + } + else{ + PL[Nrow(PL),]<- PL[1,] + } + } + Tn<- 1:Nrow(PL) + Xn<- PL[,1] + Yn<- PL[,2] + if(Flg3==1) Zn<- PL[,3] + if(Cflg[J]==0){ + Dxn<- spline(Tn,Xn,n=Nj[J]) + Dyn<- spline(Tn,Yn,n=Nj[J]) + if(Flg3==1) Dzn<- spline(Tn,Zn,n=Nj[J]) + } + else{ + Dxn<- spline(Tn,Xn,method="periodic") + Dyn<- spline(Tn,Yn,method="periodic") + if(Flg3==1) Dzn<- spline(Tn,Zn,method="periodic") + } + Tmp1<- Dxn$y + Tmp2<- Dyn$y + Tmp3<-c() + if(Flg3==1) Tmp3<- Dzn$y + Out<- matrix(c(Tmp1,Tmp2,Tmp3),nrow=length(Tmp1)) + OutL<- c(OutL,list(Out)) + } + return(OutL) +} + +############################################ +# 2013.05.03 Domain is optional + +Tabledata<- function(...){ + varargin<- list(...) + Eps<- 0.001 + Tmp<- varargin[[1]] # 130503 from + if(is.numeric(Tmp)){ + Domain<- varargin[[1]] + VL<- varargin[[2]] + HL<- varargin[[3]] + } + else{ + Domain<- c(-1,-1) + VL<- varargin[[1]] + HL<- varargin[[2]] + } # 130503 upto + Hsize<- Domain[1] + SvL<- list(0) + S<- 0 + for (I in Looprange(1,length(VL))){ + Tmp<- VL[[I]] + S<- S+Tmp[1] + Tmp[1]<- S + SvL<- c(SvL,list(Tmp)) + } + if(Hsize>S){ + SvL<- c(SvL,list(Hsize)) + } + Hsize<- Op(1,SvL[[length(SvL)]]) + Vsize<- Domain[2] + ShL<- list(0) + S<- 0 + for (I in Looprange(1,length(HL))){ + Tmp<- HL[[I]] + S<- S+Tmp[1] + Tmp[1]<- S + ShL<- c(ShL,list(Tmp)) + } + if(Vsize>S){ + ShL<- c(ShL,list(Vsize)) + } + Vsize<- Op(1,ShL[[length(ShL)]]) + Marw<- 0; Mare<- 0; Mars<- 0; Marn<- 0 + if(length(Domain)>2){ + Marw<- Domain[3] + Mare<- Domain[4] + } + if(length(Domain)>4){ + Marn<- Domain[5] + Mars<- Domain[6] + } + Setwindow(c(-Marw,Hsize+Mare),c(-Mars,Vsize+Marn)) + Tmp<- Framedata(c(Eps,Hsize-Eps),c(Eps,Vsize-Eps)) + Gdata<- list(Tmp) + Tmp<- -Marw + Hdata<- list(Listplot(c(c(Tmp,-Mars),c(Tmp,Vsize+Marn)))) + for (I in Looprange(1,length(SvL))){ + Data<- SvL[[I]] + X<- Data[1] + if(length(Data)==1){ + Y1<- 0 + Y2<- Vsize + G<- Listplot(c(X,Y1),c(X,Y2)) + } + else{ + G<- c() + for (J in seq(2,length(Data),by=2)){ + Y1<- Vsize-Op(1,ShL[[Data[J]]]) + Y2<- Vsize-Op(1,ShL[[Data[J+1]]]) + Tmp<- Listplot(c(c(X,Y1),c(X,Y2))) + Tmp1<- Appendrow(G,c(Inf,Inf)) + G<- Appendrow(Tmp1,Tmp) + } + G<- G[2:nrow(G),] + } + Hdata<- c(Hdata,list(G)) + } + Tmp<- Hsize+Mare + Tmp1<- Listplot(c(c(Tmp,-Mars),c(Tmp,Vsize+Marn))) + Hdata<- c(Hdata,list(Tmp1)) + Tmp<- Vsize+Marn + Vdata<- list(Listplot(c(c(-Marw,Tmp),c(Hsize+Mare,Tmp)))) + for (I in Looprange(1,length(ShL))){ + Data<- ShL[[I]] + Y<- Vsize-Data[1] + if(length(Data)==1){ + X1<- 0 + X2<- Hsize + G<- Listplot(c(X1,Y),c(X2,Y)) + } + else{ + G<- c() + for (J in seq(2,length(Data),by=2)){ + X1<- Op(1,SvL[[Data[J]]]) + X2<- Op(1,SvL[[Data[J+1]]]) + Tmp<- Listplot(c(X1,Y),c(X2,Y)) + G<- Appendrow(G,c(Inf,Inf)) + G<- Appendrow(G,Tmp) + } + G<-G[2:nrow(G),] + } + Vdata<- c(Vdata,list(G)) + } +# Tmp<- Listplot(c(c(0,0),c(Hsize,0))) # 2011.03.02 +# Vdata<- Mixjoin(Vdata,list(Tmp)) + Tmp<- Listplot(c(c(-Marw,-Mars),c(Hsize+Mare,-Mars))) + Vdata<- Mixjoin(Vdata,list(Tmp)) + Tmp1<- Hdata[Looprange(3,length(Hdata)-2)] + Tmp2<- Vdata[Looprange(3,length(Vdata)-2)] + Gdata<- Mixjoin(Gdata,Tmp1,Tmp2) + Hind<- Looprange(2,1+length(Tmp1)) + Vind<- Looprange(2+length(Tmp1),1+length(Tmp1)+length(Tmp2)) + G=Gdata[[1]] + P1<- Ptsw(G); P2<- Ptnw(G) + Q1<- Ptse(G); Q2<- Ptne(G) + Tmp1<- list(Listplot(c(P1,P2)),Listplot(c(Q1,Q2))) + P1<- Ptnw(G); P2<- Ptne(G) + Q1<- Ptsw(G); Q2<- Ptse(G) + Tmp2<- list(Listplot(c(P1,P2)),Listplot(c(Q1,Q2))) + Tmp3<- Framedata() + Out<- list(Gdata,Hind,Vind,Tmp1,Tmp2,Tmp3) + return(Out) +} + +################################ + +Texcom<- function(Meirei) +{ + if(Meirei=="\\thinlines"){ + Setpen(1); + return(); + } + if(Meirei=="\\thicklines"){ + Setpen(2); + return() + } + if(Meirei=="\\Thicklines"){ + Setpen(3); + return() + } + if(length(Meirei)==0){ # 09.12.07 + Tmp<- c() + } + else{ + Tmp<- grep("newline",Meirei) + } + if(length(Tmp)>0){ + cat("\n",file=Wfile,append=TRUE); + } + else{ + Tmp<- paste(Meirei,"%\n",sep="") + Tmp<- gsub("//","\\",Tmp,fixed=TRUE) # 11.03.02 + cat(Tmp,file=Wfile,append=TRUE); + } +} + +############################################### + +Texctr<- function(N){ + if(is.numeric(N)){ + Alpha<- "abcdefghijklmnopqrstuvwxyz" + Out<- paste("ketpicctr",substr(Alpha,N,N),sep="") + } + else{ + if(grep("\\",N,fixed=TRUE)>0){ + Out<- substr(N,2,nchar(N)) + } + else{ + Out<- N + } + } + return(Out) +} + +############################################### + +Texelse<- function (){ + Texcom(""); + Texcom("\\else") +} + +############################################### + +Texend<- function() +{ + Texcom("%\n}") +} + +############################################### + +Texendfor<- function(I){ + Last<- TEXFORLAST[[TEXFORLEVEL]] + Texcom("") + Tmp<- paste("\\ifnum",Texthectr(I),"<",Last,sep="") + Texcom(Tmp) + Texcom("\\repeat") + Texcom("}") + TEXFORLEVEL<<- TEXFORLEVEL-1 + TEXFORLAST<<- TEXFORLAST[1:(length(TEXFORLAST)-1)] +} + +############################################### + +Texendif<- function(){ + Texcom("") + Texcom("\\fi") + Texcom("}") +} + +############################################### + +Texfor<- function(I,First,Last){ + TEXFORLEVEL<<- TEXFORLEVEL+1; + Texsetctr(I,"0") + Texsetctr(I,paste(as.character(First),"-1",sep="")) + Texcom("") + Texcom("{") + Texcom("\\loop") + Texsetctr(I,"+1") + TEXFORLAST<<- c(TEXFORLAST,as.character(Last)) +} + +############################################### + +Texforinit<- function(){ + TEXFORLEVEL<<- 0 + TEXFORLAST<<- list() +} + +############################################### + +Texif<- function(...){ + varargin<- list(...) + Condstr<- varargin[[1]] + Tp<- 0 + if(length(varargin)>1){ + Tp<- varargin[[2]] + } + Texcom("") + Texcom("{") + if(Tp==0){ + Texcom("\\ifnum") + } + else{ + Texcom("\\ifdim ") + } + Texcom(paste(Condstr," ",sep="")) +} + +###################################### + +Texletter<- function(...) +{ + varargin<- list(...) + Nargs<- length(varargin) + for (I in seq(1,Nargs,by=3)){ + P<- varargin[[I]] + X<- P[1] + if(mode(X)=="numeric"){ + X<- as.character(X) + } + Y<- P[2] + if(mode(Y)=="numeric"){ + Y<- as.character(Y) + } + Houkou<- varargin[[I+1]] + Mojiretu<- varargin[[I+2]] + Hset<- Houkou + Vhoko<- "c" + if(length(grep("n",Hset))>0){ + Vhoko<- "n" + } + if(length(grep("s",Hset))>0){ + Vhoko<- "s" + } + Hhoko<- "c"; + if(length(grep("e",Hset))>0){ + Hhoko<- "e" + } + if(length(grep("w",Hset))>0){ + Hhoko<- "w" + } + Hoko<- paste(Vhoko,Hhoko,sep="") + CalcWidth(Hoko,Mojiretu) + CalcHeight(Hoko,Mojiretu) + Tmp<- paste("\\put(",X,",",Y,"){\\hspace*{\\Width}",sep="") + Str<- paste(Tmp,"\\raisebox{\\Height}{",Mojiretu,"}}%\n",sep="") + cat(Str,file=Wfile,append=TRUE) + } +} + +################################################## + +Texnewcmd<- function(...) +{ + varargin<- list(...) + Nargs<- length(varargin) + Str<- varargin[[1]] + S<- paste("\\newcommand{",Str,"}",sep="") + if(Nargs>1){ + Tmp<- as.character(varargin[[2]]) + S<- paste(S,"[",Tmp,"]",sep="") + } + if(Nargs>2){ + Tmp<- varargin[[3]] + if(mode(Tmp)=="numeric"){ + Tmp<- as.character(Tmp) + } + S<- paste(S,"[",Tmp,"]",sep="") + } + S<- paste(S,"{",sep="") + Texcom(S) +} + +############################################### + +Texnewctr<- function(N) +{ + if(mode(N)=="character"){ + Str<- paste("\\newcounter{",N,"}",sep="") + Texcom(Str) + } + else{ + for (I in N){ + Str<- paste("\\newcounter{",Texctr(I),"}",sep="") + Texcom(Str) + } + } +} +############################################### + +Texrenewcmd<- function(...) +{ + varargin<- list(...) + Nargs<- length(varargin) + Str<- varargin[[1]] + S<- paste("\\renewcommand{",Str,"}",sep="") + if(Nargs>1){ + Tmp<- as.character(varargin[[2]]) + S<- paste(S,"[",Tmp,"]",sep="") + } + if(Nargs>2){ + Tmp<- varargin[[3]] + if(mode(Tmp)=="numeric"){ + Tmp<- as.character(Tmp) + } + S<- paste(S,"[",Tmp,"]",sep="") + } + S<- paste(S,"{",sep="") + Texcom(S) +} + +############################################### + +Texsetctr<- function(Nctr,Opstr) +{ + Ctr<- Texctr(Nctr) + Opstr<- paste(Opstr,"%",sep="") + OperL<- "+-*/%" + Oper<- "" + Va<- "" + Evflg<- 0 + Paflg<- 0 + for (I in Looprange(1,nchar(Opstr))){ + Tmp<- substring(Opstr,I,I) + if(Tmp=="("){ + Paflg<- 1 + if(nchar(Va)>0){ + Evflg<- 1 + Va<- paste(Va,Tmp,sep="") + } + next + } + if(Tmp==")"){ + Paflg<- 0 + if(Evflg>0){ + Va<- paste(Va,Tmp,sep="") + } + next + } + if(Paflg>0){ + Va<- paste(Va,Tmp,sep="") + next + } + if(length(grep(Tmp,OperL))==0){ + Va<- paste(Va,Tmp,sep="") + } + else{ + if(Evflg>0){ + Tmp1<- eval(parse(text=Va)) + Va<- paste("\\value{",Tmp1,"}",sep="") + Evflg<- 0 + } + if(Oper==""){ + if(nchar(Va)>0){ + Str<- paste("\\setcounter{",Ctr,"}{",Va,"}",sep="") + Texcom(Str) + } + Oper<- Tmp + Va<-"" + } + else if(Oper=="+"){ + Str<- paste("\\addtocounter{",Ctr,"}{",Va,"}",sep="") + Texcom(Str) + Oper<- Tmp + Va<-"" + } + else if(Oper=="-"){ + Str<- paste("\\addtocounter{",Ctr,"}{-",Va,"}",sep="") + Texcom(Str) + Oper<- Tmp + Va<-"" + } + else if(Oper=="*"){ + Str<- paste("\\multiply\\value{",Ctr,"} by ",Va,sep="") + Texcom(Str) + Oper<- Tmp + Va<-"" + } + else if(Oper=="/"){ + Str<- paste("\\divide\\value{",Ctr,"} by ",Va,sep="") + Texcom(Str) + Oper<- Tmp + Va<-"" + } + } + } +} + +############################################### + +Texthectr<- function(N) +{ + Out<- paste("\\the",Texctr(N),sep="") + return(Out) +} + +############################################### + +Texvalctr<- function(N){ + Out<- paste("\\value{",Texctr(N),"}",sep="") + return(Out) +} + +############################################### + +Texvctr<- function(N) +{ + Out<- paste("\\value{",Texctr(N),"}",sep="") + return(Out) +} + +############################################### + +Tonumeric <- function(...) +{ + varargin<- list(...) + Nargs<- length(varargin) + Data<- varargin[[1]] + Sp<- c(1,1) + Ep<- c(Inf,Inf) + if(Nargs>1){ + Sp<- varargin[[2]] + } + if(Nargs>2){ + Ep<- varargin[[3]] + } + Nrs<- Sp[1] + Nre<- min(nrow(Data),Ep[1]) + Ncs<- Sp[2] + Nce<- min(ncol(Data),Ep[2]) + Tmp1<- Data[Nrs:Nre, Ncs:Nce] + Tmp2 <- as.numeric(Tmp1) + Out <- matrix(Tmp2,nrow=nrow(Tmp1)) + Sp<- c() + for (I in 1:nrow(Out)){ + for (J in 1:ncol(Out)){ + Tmp<- Out[I,J] + if(!is.na(Tmp)){ + Sp<- c(I,J) + break; + } + } + if(length(Sp)>0) break + } + if(length(Sp)==0){ + return("Numeric data not found") + } + Ep<- c(nrow(Out),ncol(Out)) + for (I in Sp[1]:nrow(Out)){ + Tmp<- Out[I,Sp[2]] + if(is.na(Tmp)){ + Ep[1]<- I-1 + break + } + } + for (J in Sp[2]:ncol(Out)){ + Tmp<- Out[Sp[1],J] + if(is.na(Tmp)){ + Ep[2]<- J-1 + break + } + } + Out<- Out[Sp[1]:Ep[1], Sp[2]:Ep[2]] + return(Out) +} + +################################################## + +Translatedata<- function(...) +{ + varargin<- list(...) + Nargs<- length(varargin) + Eps<- 10^(-8) + ML<- varargin[[1]] + if(Mixtype(ML)==1){ + ML<- list(ML) + } + Tmp=varargin[[2]] + if(mode(Tmp)=="numeric" && length(Tmp)>1){ + A<- Tmp[1]; B<- Tmp[2] + } + else{ + A<- Tmp + if(Nargs>=3){ + B<- varargin[[3]] + } + else{ + B<- 0 + } + } + OutL<- list() + for (N in Looprange(1,length(ML))){ + GL<- Op(N,ML) + Out<- c() + for (I in Looprange(1,Nrow(GL))){ + if(is.matrix(GL)){ # 10.12.07 + Tmp<- GL[I,] + } + else{ + Tmp<- GL + } + X1<- Tmp[1] + Y1<- Tmp[2] + if(X1==Inf){ + X2<- X1 + Y2<-Y1 + } + else{ + X2<- X1+A + Y2<- Y1+B + } + Out<- Appendrow(Out,c(X2,Y2)) + } + OutL<- Mixjoin(OutL,list(Out)) + } + if(length(OutL)==1){ + OutL<- Op(1,OutL) + } + return(OutL) +} + +####################################### + +Unscaling<- function(G) +{ + GLg<- G + if(class(GLg)=="numeric"){ + GLg<-c(G[1]/SCALEX, G[2]/SCALEY) + Tmp<-GLg + if(LOGX==1) Tmp[1]<- 10^(GLg[1]) + if(LOGY==1) Tmp[2]<- 10^(GLg[2]) + return(Tmp) + } + else{ + Tmp1<-matrix(c(1/SCALEX,0,0,1/SCALEY),nrow=2) + GLg<-G %*% Tmp1 + Tmp<-GLg + if(LOGX==1) Tmp[,1]<- 10^(G[,1]) + if(LOGY==1) Tmp[,2]<- 10^(G[,2]) + return(Tmp) + } +} + +############################################# + +Vtickmark<- function(...) +{ ## Scaling is implemented + varargin<- list(...) + Nargs<- length(varargin) + ArgsL<- varargin + if(mode(ArgsL[[1]])=="character"){ + Str<- ArgsL[[1]] + Tmp<- strsplit(Str,"m") + Tmp<- Tmp[[1]] + if(length(Tmp)>1){ + I<- nchar(Tmp[1])+1 + } + else{ + I<- 0 + } + Tmp<- strsplit(Str,"n") + Tmp<- Tmp[[1]] + if(length(Tmp)>1){ + J<- nchar(Tmp[1])+1 + } + else{ + J<- 0 + } + Tmp<- strsplit(Str,"r") + Tmp<- Tmp[[1]] + if(length(Tmp)>1){ + K=nchar(Tmp[1])+1 + } + else{ + K<- 0 + } + if(K>0){ + S<- substr(Str,K+1,nchar(Str)) + R<- as.numeric(S) + if(is.na(R)){ + R<- 1 + } + } + else{ + R<- 1 + K<- nchar(Str)+1 + } + if(J>0){ + S<- substr(Str,J+1,K-1) + Dn<- as.numeric(S) + if(is.na(Dn)){ + Dn<- 1 + } + } + else{ + Dn<- 1000 + J<- nchar(Str)+1 + } + S<- substr(Str,I+1,J-1) + Dm<- as.numeric(S) + if(is.na(Dm)){ + Dm<- 1 + } + ArgsL<- list() + for (I in 1:floor((YMAX-GENTEN[2])/Dm)){ + ArgsL<- Mixjoin(ArgsL,I*Dm) + if(I-floor(I/Dn)*Dn==0){ + Str<- as.character(I*Dm*R) + ArgsL<- Mixjoin(ArgsL,Str) + } + } + for (I in seq(-1,ceiling((YMIN-GENTEN[2])/Dm))){ + ArgsL<- Mixjoin(ArgsL,I*Dm) + if(I-floor(I/Dn)*Dn==0){ + Str<- as.character(I*Dm*R) + ArgsL<- Mixjoin(ArgsL,Str) + } + } + } + MemoriList<- list() + Memori<- list() + for (N in 1:length(ArgsL)){ + Dt<- ArgsL[[N]] + if(mode(Dt)=="numeric" && length(Dt)>1){ + if(length(Memori)>0){ + MemoriList<- Mixjoin(MemoriList,list(Memori)) + } + Memori<- list(Dt[1],Dt[2]) + next + } + if(mode(Dt)=="character"){ + Memori<- Mixjoin(Memori,Dt) + } + else{ + if(length(Memori)>0){ + MemoriList<- Mixjoin(MemoriList,list(Memori)) + } + Memori<- list(GENTEN[1],Dt) + } + } + MemoriList<- Mixjoin(MemoriList,list(Memori)) + for (N in 1:length(MemoriList)){ + Dt<- MemoriList[[N]] + Ndt<- length(Dt) + X=Op(1,Dt) + Y=Op(2,Dt) + Tmp<-Doscaling(c(X,Y)) + X<- Tmp[1] + Y<- Tmp[2] + Moji<- Op(Ndt,Dt) + Tmp1<- Unscaling(c(X+MARKLEN,Y)) + Tmp2<- Unscaling(c(X-MARKLEN,Y)) + Fd<- Listplot(c(Tmp1,Tmp2)) + Drwline(Fd) + if(Ndt==3){ + Tmp<-Unscaling(c(X-MARKLEN,Y)) + Expr(Tmp,"w",Moji) + } + if(Ndt==4){ + Houkou<- Op(3,Dt) + Tmp<-grep("w",Houkou) + if(length(Tmp)>0){ + Tmp<-Unscaling(c(X-MARKLEN,Y)) + Expr(Tmp,Houkou,Moji) + } + else{ + Tmp<- Unscaling(c(X+MARKLEN,Y)) + Expr(Tmp,Houkou,Moji) + } + } + cat("%\n",file=Wfile,append=TRUE) + } +} + +############################################ + +Windisp<-function(...){ + varargin<-list(...) + Nargs<-length(varargin) + Tmp<- Doscaling(c(XMIN,YMIN)) + Xmn<- Tmp[1]; Ymn<- Tmp[2] + Tmp<- Doscaling(c(XMAX,YMAX)) + Xmx<- Tmp[1]; Ymx<- Tmp[2] + plot(c(Xmn,Xmx),c(Ymn,Ymx),type="n",asp=1,axes=FALSE,xlab="",ylab="") + Tmp<- Doscaling(Listplot(c(0,YMIN),c(0,YMAX))) + axis(2,at=as.numeric(Tmp[,2]), labels=round(c(YMIN,YMAX),2)) + Tmp<- Doscaling(Listplot(c(XMIN,0),c(XMAX,0))) + axis(1,at=as.numeric(Tmp[,1]), labels=round(c(XMIN,XMAX),2)) + Tmp1<- c(XMIN,GENTEN[2]) + Tmp2<- c(XMAX,GENTEN[2]) + Tmp3<- Listplot(Tmp1,Tmp2) + Tmp<- MakeCurves(Tmp3,0) + if(Datalength(Tmp)>0){ + lines(Tmp[,1],Tmp[,2],col="green") + } + Tmp1<- c(GENTEN[1],YMAX) + Tmp2<- c(GENTEN[1],YMIN) + Tmp3<- Listplot(Tmp1,Tmp2) + Tmp<- MakeCurves(Tmp3,0) + if(Datalength(Tmp)>0){ + lines(Tmp[,1],Tmp[,2],col="green") + } + Tmp<-Doscaling(Framedata()) + lines(Tmp[,1],Tmp[,2]) + for (I in Looprange(1,Nargs)){ + Pdata<-varargin[[I]] + if(mode(Pdata)=="numeric"){ + Pdata<-list(Pdata) + } + while(Mixtype(Pdata)==3){ # 10.02.23 + Tmp1<- list() + for(II in Looprange(1,length(Pdata))){ + Tmp1<- Mixjoin(Tmp1,Pdata[[II]]) + } + Pdata<- Tmp1 + } # 10.02.23 + for (II in Looprange(1,length(Pdata))){ + Tmp<-Pdata[[II]] + P<-MakeCurves(Tmp,0) + Ndm<-Dataindex(P) + for (J in Looprange(1,Nrow(Ndm))){ + Q<-P[Ndm[J,1]:Ndm[J,2],] + if(Nrow(Q)==1){ + Tmp<-seq(1,Ncol(Q),by=2) + for (K in Tmp){ + Pt<-Q[K:(K+1)] + points(Pt[1],Pt[2]) + } + } + else{ + lines(Q[,1],Q[,2]) + } + } + } + } +} + +############################################ + +WindispT<-function(..., color="black",width=1,new=FALSE,htick=c(),vtick=c()){ # 10.12.04 + par(new=new) + varargin<-list(...) + Nargs<-length(varargin) + if(!new) # 10.12.04 + { + Tmp<- Doscaling(c(XMIN,YMIN)) + Xmn<- Tmp[1]; Ymn<- Tmp[2] + Tmp<- Doscaling(c(XMAX,YMAX)) + Xmx<- Tmp[1]; Ymx<- Tmp[2] + plot(c(Xmn,Xmx),c(Ymn,Ymx),type="n",asp=1,axes=FALSE,xlab="",ylab="") + Tick<- sort(c(YMIN,YMAX,vtick)) #### 10.12.04 from here + Tmp1<- matrix(c(rep(0,length(Tick)),Tick),ncol=2) + Tmp<- Doscaling(Tmp1) + axis(2,at=as.numeric(Tmp[,2]), labels=round(Tick,2)) + Tick<- sort(c(XMIN,XMAX,htick)) + Tmp1<- matrix(c(Tick,rep(0,length(Tick))),ncol=2) + Tmp<- Doscaling(Tmp1) + axis(1,at=as.numeric(Tmp[,1]), labels=round(Tick,2)) #### 10.12.04 to here + Tmp1<- c(XMIN,GENTEN[2]) + Tmp2<- c(XMAX,GENTEN[2]) + Tmp3<- Listplot(Tmp1,Tmp2) + Tmp<- MakeCurves(Tmp3,0) + if(Datalength(Tmp)>0){ + lines(Tmp[,1],Tmp[,2],col="green") + } + Tmp1<- c(GENTEN[1],YMAX) + Tmp2<- c(GENTEN[1],YMIN) + Tmp3<- Listplot(Tmp1,Tmp2) + Tmp<- MakeCurves(Tmp3,0) + if(Datalength(Tmp)>0){ + lines(Tmp[,1],Tmp[,2],col="green") + } + Tmp<-Doscaling(Framedata()) + lines(Tmp[,1],Tmp[,2]) + } + for (I in Looprange(1,Nargs)){ + Pdata<-Flattenlist(varargin[[I]]) # 101129 from here + Cmd<- list() + for (II in Looprange(1,length(Pdata))){ + Tmp<-Pdata[[II]] + if(length(Tmp)==1){ + Cmd<- c(Cmd,list(Tmp)) + next + } + + P<-MakeCurves(Tmp,0) + + if(length(Cmd)>0){ + if(length(Cmd)>=3){ + polygon(P,col=Cmd[[1]],border=Cmd[[2]],density=Cmd[[3]]) + } + else{ + polygon(P,col=Cmd[[1]],border=Cmd[[2]]) + } + next + } # 101129 to here + Ndm<-Dataindex(P) + for (J in Looprange(1,Nrow(Ndm))){ + Q<-P[Ndm[J,1]:Ndm[J,2],] + if(Nrow(Q)==1){ + Tmp<-seq(1,Ncol(Q),by=2) + for (K in Tmp){ + Pt<-Q[K:(K+1)] + points(Pt[1],Pt[2],col=color)#taka101111 + } + } + else{ + lines(Q[,1],Q[,2],col=color,lwd=width)#taka101111 + } + } + } + } + par(new=FALSE) +} + +###################################### + +# 3D + +################################# + +# 10.08.16 +CameracoordCurve<- function(Curve){ + Out<- c() + for(J in Looprange(1,Nrow(Curve))){ + P<- Ptcrv(J,Curve) #P=Curve(J,:); + Tmp<- P-FocusPoint + X1<- Tmp[1]; Y1<- Tmp[2]; Z1<- Tmp[3] + Tmp<- EyePoint-FocusPoint + E1<- Tmp[1]; F1<- Tmp[2]; G1<- Tmp[3] + Ca<- E1/sqrt(E1^2+F1^2) + Sa<- F1/sqrt(E1^2+F1^2) + X2<- X1*Ca+Y1*Sa; Y2<- -X1*Sa+Y1*Ca; Z2<- Z1 + E2<- E1*Ca+F1*Sa; F2<- -E1*Sa+F1*Ca; G2<- G1 + Cb<- E2/sqrt(E2^2+G2^2) + Sb<- G2/sqrt(E2^2+G2^2) + X3<- X2*Cb+Z2*Sb; Y3<- Y2; Z3<- -X2*Sb+Z2*Cb + E3<- E2*Cb+G2*Sb; F3<- F2; G3<- -E2*Sb+G2*Cb + Xz<- X3 + Yz<- E3/(E3-X3)*Y3 + Zz<- E3/(E3-X3)*Z3 + Out<- rbind(Out,c(Yz,Zz,Xz)) + } + rownames(Out)<- 1:Nrow(Out) + return(Out) +} + +######################################### + +#100815 +CameraCurve<- function(Curve){ + Eps<- 10^(-6) + for (I in Looprange(1,Nrow(Curve))){ + P<- Curve[I,] + x<- P[1]; y<- P[2]; z<- P[3] + if(x!=Inf){ + Tmp<- Perspt(P) + if(I==1){ + AnsL<- rbind(c(),Tmp) + }else{ + Tmp1<- AnsL[Nrow(AnsL),] + if(Tmp1[1]==Inf || Norm(Tmp-Tmp1)>Eps){ + AnsL<- rbind(AnsL,Tmp) + } + } + }else{ + AnsL<- rbind(AnsL,c(Inf,Inf)) + } + } + rownames(AnsL)<- 1:Nrow(AnsL) + return(AnsL) +} + +###################################### + +Cancoordpara<- function(P){ # 18.02.15 + Xz<- P[1] + Yz<- P[2] + Zz<- P[3] + X<- -Xz*sin(PHI)-Yz*cos(PHI)*cos(THETA)+Zz*cos(PHI)*sin(THETA) + Y<- Xz*cos(PHI)-Yz*sin(PHI)*cos(THETA)+Zz*sin(PHI)*sin(THETA) + Z<- Yz*sin(THETA)+Zz*cos(THETA) + Out<- c(X,Y,Z) + return(Out) +} + +###################################### + +Cancoordpers<- function(P){ + Tmp<- EyePoint-FocusPoint + E1<- Tmp[1]; F1<- Tmp[2]; G1<- Tmp[3] + Ca<- E1/sqrt(E1^2+F1^2) + Sa<- F1/sqrt(E1^2+F1^2) + E2<- E1*Ca+F1*Sa; F2<- -E1*Sa+F1*Ca; G2<- G1 + Cb<- E2/sqrt(E2^2+G2^2) + Sb<- G2/sqrt(E2^2+G2^2) + E3<- E2*Cb+G2*Sb; F3<- F2; G3<- -E2*Sb+G2*Cb + Xz<- P[3]; Yz<- P[1]; Zz<- P[2] + X3<- Xz; Y3<- Yz*(E3-Xz)/E3; Z3<- Zz*(E3-Xz)/E3 + X2<- X3*Cb-Sb*Z3; Y2<- Y3; Z2<- Cb*Z3+Sb*X3 + X1<- X2*Ca-Sa*Y2; Y1<- Ca*Y2+Sa*X2; Z1<- Z2 + X<- X1+FocusPoint[1] + Y<- Y1+FocusPoint[2] + Z<- Z1+FocusPoint[3] + Out<- c(X,Y,Z) + return(Out) +} + +####################################### + +Embed<- function(...){ + varargin<- list(...) + Nargs<- length(varargin) + Pd3<- varargin[[1]] + if(Mixtype(Pd3)==1){ + Pd3<- list(Pd3) + } + else if(Mixtype(Pd3)==3){ + Tmp<- list(); + for(I in Looprange(1,length(Pd3))){ + Tmp<- c(Tmp,Pd3[[I]]) + } + Pd3<- Tmp + } + Tmpf=varargin[[2]] + if(mode(Tmpf)=="character"){ + Tmp<- varargin[[3]] + Tmp1<- gsub("c(","(",Tmp,fixed=TRUE) + Vstr<- gsub(")",")",Tmp1,fixed=TRUE) + Str<- paste("Tmpfn<- function",Vstr,"{",Tmpf,"}",sep="") + eval(parse(text=Str)) + } + else{ + Tmpfn<- Tmpf + } + Out<- list() + for(I in Looprange(1,length(Pd3))){ + PD<- Pd3[[I]] + Ans<- c() + for(J in Looprange(1,Nrow(PD))){ + P<- PD[J,] + Tmp<- Tmpfn(P[1],P[2]) + Ans<- rbind(Ans,Tmp) + } + Out<- c(Out, list(Ans)) + } + if(length(Out)==1){ + Out<- Out[[1]] + } + return(Out) +} + +####################### +# 10.08.17 +# 14.03.30 +Facesdata<- function(...){ + varargin<-list(...) + Nargs<- length(varargin) + FL<- varargin[[1]] + PT<- varargin[[length(varargin)]] + Tmp<-grep("para",PT,fixed=TRUE) + if(length(Tmp)>0){ + Ptype<- 1 + }else{ + Ptype<- -1 + } + if(Nargs==2){ + CLadd<- list() + }else{ + CLadd<- varargin[[2]] + } + NohiddenL<- list() + HiddenL<- list() + Eps<- 10^(-4) + if(length(CLadd)>0){ + if(mode(CLadd)=="numeric"){ + C<- list() + if(Nrow(CLadd)>1){ + for (I in Looprange(1,Nrow(CLadd))){ + C<- c(C,list(CLadd[I,])) + } + }else{ + I<- 1 + while (I<=Ncol(CLadd)){ + C<- c(C,list(CLadd[1,I:(I+2)])) + I<- I+3 + } + } + CrvL<- list(C) + }else if(mode(CLadd[[1]])=="numeric"){ + CrvL<- list() + for (J in Looprange(1,length(CL))){ + Ctmp<- CLadd[[J]] + C<- list() + if(Nrow(Ctmp)>1){ + for (I in Looprange(1,Nrow(Ctmp))){ + C<- c(C,list(Ctmp[I,])) + } + }else{ + I<- 1 + while(I<=Ncol(Ctmp)){ + C<- c(C,list(Ctmp[1,I:(I+2)])) + I<- I+3 + } + } + CrvL<- c(CrvL,list(C)) + } + }else{ + CrvL<- CLadd + } + }else{ + CrvL<- list() + } + Out<- MakeveLfaceL(FL) + VELNO<<- Out[[1]] + VELHI<<- list() + for (I in Looprange(1,length(CrvL))){ + Tmp<- CrvL[[I]] + for (J in Looprange(1,length(Tmp)-1)){ + Edge<- list(Tmp[J],Tmp[J+1]) + Ntmp<- length(VELNO) + VELNO(Ntmp+1)<<- list(Edge,0,Ntmp+1) + } + } + FaceL<- Out[[2]] + Tmp<- grep("raw",PT,fixed=TRUE) + if(length(Tmp)==0){ + for (Nf in Looprange(1,length(FaceL))){ + Face<- FaceL[[Nf]] + Menkakusi2(Face,Nf,Ptype) + } + } + for (I in Looprange(1,length(VELNO))){ + Edge<- Op(1,VELNO[[I]]) + if(Norm(Edge[[1]]-Edge[[2]])>Eps){ + NohiddenL<- c(NohiddenL,list(Spaceline(Edge))) + } + } + EdgeL<- list() # from 13.03.30 + for(K in Looprange(1,length(VELHI))){ + Edge<- Op(1,VELHI[[K]]) + P<- Edge[[1]]; Q<- Edge[[2]] + if(Norm(P-Q)>Eps){ + EdgeL<- c(EdgeL,list(Edge)) + } + } + for(K in Looprange(1,length(EdgeL))){ + Edge<- EdgeL[[K]] + P<- Edge[[1]]; Q<- Edge[[2]] + Cflg<- 0 + for(J in Looprange(K+1,length(EdgeL))){ + Ej<- EdgeL[[J]] + Pj<- Ej[[1]]; Qj<- Ej[[2]] + if(Norm(Crossprod(Q-P,Qj-Pj))>Eps){ + next + } + if(Norm(Q-Pj)<Eps){ + EdgeL[[J]]<- list(P,Qj) + Cflg<- 1 + break + } + if(Norm(P-Qj)<Eps){ + EdgeL[[J]]=list(Q,Pj) + Cflg<- 1 + break + } + } + if(Cflg==0){ + HiddenL<- c(HiddenL,list(Spaceline(Edge))) + } + } # upto 14.03.30 + PHHIDDENDATA<<- HiddenL + return(NohiddenL) +} + +############################## +# 2014.03.31 + +PhHiddenData<- function(){ + PHHIDDENDATA +} + +########## Old Fullform ( Check the case of Polygon )#################### + +Fullformfunc<- function(FdL){# Out=Fullformfunc(FdL) + Out<- list(Op(1,FdL)) + N<- Mixlength(FdL) + for (Jrg in Looprange(1,N)){ + Tmp<- Stripblanks(Op(Jrg,FdL)) + Tmp1<- grep("=c(",Tmp,fixed=TRUE) + if(length(Tmp1)>0){ + break + } + } + Urg<- Stripblanks(Op(Jrg,FdL)) + StrV<- strsplit(Urg,"=",fixed=TRUE)[[1]] + Uname<- StrV[1] + Vrg<- Stripblanks(Op(Jrg+1,FdL)) + StrV<- strsplit(Vrg,"=",fixed=TRUE)[[1]] + Vname<- StrV[1] + if(Jrg==2){ + Tmp<- Stripblanks(Op(1,FdL)) + StrV<- strsplit(Tmp,"=",fixed=TRUE)[[1]] + Zf<- StrV[2] + Tmp<- list(Uname,Vname,Zf,Urg,Vrg) + Out<- c(Out,Tmp) + }else if(Jrg==4){ + Tmp<- Stripblanks(Op(1,FdL)) + StrV<- strsplit(Tmp,"=",fixed=TRUE)[[1]] + Zf<- StrV[2] + Tmp<- Stripblanks(Op(2,FdL)) + StrV<- strsplit(Tmp,"=",fixed=TRUE)[[1]] + Xname<- StrV[1] + Xf<- StrV[2] + Tmp<- Stripblanks(Op(3,FdL)) + StrV<- strsplit(Tmp,"=",fixed=TRUE)[[1]] + Yname<- StrV[1] + Yf<- StrV[2] + Tmp<- gsub(Xname,paste("(",Xf,")",sep=""),Zf,fixed=TRUE) + Zf<- gsub(Yname,paste("(",Yf,")",sep=""),Tmp,fixed=TRUE) + Tmp<- list(Xf,Yf,Zf,Urg,Vrg) + Out<- c(Out,Tmp) + }else{ + Tmp<- Stripblanks(Op(2,FdL)) + StrV<- strsplit(Tmp,"=",fixed=TRUE)[[1]] + Xf<- StrV[2] + Tmp<- Stripblanks(Op(3,FdL)) + StrV<- strsplit(Tmp,"=",fixed=TRUE)[[1]] + Yf<- StrV[2] + Tmp<- Stripblanks(Op(4,FdL)) + StrV<- strsplit(Tmp,"=",fixed=TRUE)[[1]] + Zf<- StrV[2] + Tmp<- list(Xf,Yf,Zf,Urg,Vrg) + Out<- c(Out,Tmp) + } + DrwS<- "enws" + BdyL<- c() + for (I in Looprange(Jrg+2,Mixlength(FdL))){ + Tmp<- Op(I,FdL) + if(mode(Tmp)=="character"){ + if(length(Tmp)==0){ + Tmp<- " " + } + DrwS<- Tmp + } + if(mode(Tmp)=="numeric" && Ncol(Tmp)>1){ + BdyL<- Tmp + } + } + Tmp<- list(DrwS,BdyL) + Out<- c(Out,Tmp) + return(Out) +} + +#################################### + +Initangle<- function (){ + PHI<<- 30*pi/180 + THETA<<- 60*pi/180 +} + +########################## + +Invparapt<- function(...){ + varargin<- list(...) + Eps<- 10^(-4) + Fk<- varargin[[length(varargin)]] + NFk<- Numptcrv(Fk) + Tmp<- varargin[[1]] + if(mode(Tmp)=="numeric" && length(Tmp)==1){ # debug + Ph<- Tmp + Fh<- varargin[[2]] + }else{ + Fh<- Projpara(Fk) + if(NFk>2){ + Tmp1<- Nearestpt(Tmp,Fh) + Ph<- Tmp1[[2]] + }else{ + Ah<- Ptcrv(1,Fh); Bh=Ptcrv(2,Fh) + V1<- Tmp-Ah; V2<- Bh-Ah + Tmp1<- Crossprod(V1,V2) + if(abs(Tmp1)>Eps){ + print("Not on the line") + return(c()) + }else{ + Ph<- Dotprod(V1,V2)/Norm(V2)^2+1 + } + } + } + if(NFk>2){ + N<- trunc(Ph) + S0<- Ph-N + if(Ph>Numptcrv(Fh)-Eps){ + Out<- list(Ptend(Fk),Numptcrv(Fh)) + return(Out) + } + }else{ + N<- 1 + S0<- Ph-1 + } + Ak<- Ptcrv(N,Fk); Bk=Ptcrv(N+1,Fk) + Ah<- Ptcrv(N,Fh); Bh=Ptcrv(N+1,Fh) + Ph<- (1-S0)*Ah+S0*Bh + T2<- S0 + Pk<- (1-T2)*Ak+T2*Bk + Out<- list(Pk,N+T2) + return(Out) +} + +################################# + +#100815 +Invperspt<- function(...){ + varargin<-list(...) + Eps<- 10^(-4) + Fk<- varargin[[length(varargin)]] + NFk<- Numptcrv(Fk) + Tmp<- varargin[[1]] + if(mode(Tmp)=="numeric" && length(Tmp)==1){ + Ph<- varargin[[1]] + Fh<- varargin[[2]] + }else{ + Fh<- Projpers(Fk) + if(NFk>2){ + Tmp1<- Nearestpt(Tmp,Fh) + Ph<- Tmp1[[2]] + }else{ + Ah<- Ptcrv(1,Fh); Bh<- Ptcrv(2,Fh) + V1<- Tmp-Ah; V2<- Bh-Ah + Tmp1<- Crossprod(V1,V2) + if(abs(Tmp1)>Eps){ + print("Not on the line") + Out<- c() + return(Out) + }else{ + Ph<- Dotprod(V1,V2)/Norm(V2)^2+1# 09.11.12 + } + } + } + if(NFk>2){ + N<- trunc(Ph) + S0<- Ph-N + if(Ph>Numptcrv(Fh)-Eps){ + Out<- list(Ptend(Fk),Numptcrv(Fh)) + return(Out) + } + }else{ + N<- 1 + S0<- Ph-1 # 09.11.12 + } + Ak<- Ptcrv(N,Fk); Bk<- Ptcrv(N+1,Fk) + Ah<- Ptcrv(N,Fh); Bh<- Ptcrv(N+1,Fh) + Ph<- (1-S0)*Ah+S0*Bh + Phc<- Cancoordpers(c(Ph,0)) + Ahc<- Cancoordpers(c(Ah,0)) + Bhc<- Cancoordpers(c(Bh,0)) + Vp<- Phc-EyePoint + Va<- Ak-EyePoint + AB<- Bk-Ak + Cp<- Crossprod(Vp,AB) + Nmr<- Crossprod(Va,Vp) + Mx<- max(abs(Cp)) + if(abs(Cp[1])==Mx){ + T2<- Nmr[1]/Cp[1] + }else if(abs(Cp[2])==Mx){ + T2<- Nmr[2]/Cp[2] + }else{ + T2<- Nmr[3]/Cp[3] + } + Pk<- (1-T2)*Ak+T2*Bk + Out<- list(Pk,N+T2) + return(Out) +} + +######################### + +Kukannozoku<- function(Jokyo,KukanL){ + Eps<- 10^(-6) + N<- Nrow(KukanL) + T1<- Jokyo[1]; T2<- Jokyo[2] + Tmp<- KukanL[1,] + T1<- max(T1,Tmp[1]) + Tmp<- KukanL[N,] + T2<- min(T2,Tmp[2]) + Res<- c() + Flg<- 0 + for (I in Looprange(1,N)){ + Ku<- KukanL[I,] + if(Flg==0){ + if(Ku[2]<T1){ + Res<- rbind(Res,Ku) + }else{ + Flg<- 1 + if(Ku[1]<T1-Eps){ + Tmp<- c(Ku[1],T1) + Res<- rbind(Res,Tmp) + } + if(Ku[2]>T2+Eps){ + Tmp<- c(T2,Ku[2]) + Res<- rbind(Res,Tmp) + } + } + }else if(Flg==1){ + if(Ku[2]<T2){ + next + }else{ + Flg<- 2 + if(Ku[1]<T2-Eps){ + Ku<- c(T2,Ku[2]) + } + Res<- rbind(Res,Ku) + } + }else{ + Res<- rbind(Res,Ku) + } + } + return(Res) +} + +######################################## + +Makeskeletondata<- function(Obj2L,Plt2L,R0,Eps2){ + Eps<- 10.0^(-3) + Dmat<- c() + Dind<- c() + for (I in Looprange(1,Mixlength(Plt2L))){ + Dt<- Op(I,Plt2L) + N1<- Nrow(Dmat)+1 + if(Nrow(Dmat)==0){ + Dmat<- Dt + }else{ + Dmat<- rbind(Dmat,Dt) + } + N2<- Nrow(Dmat) + Dind<- c(Dind,N1,N2) + } + Dind<- matrix(Dind,ncol=2,byrow=TRUE) + Nind<- Nrow(Dind) + Allres<- list() + for (Nobj in Looprange(1,Mixlength(Obj2L))){ + Plt2<- Op(Nobj,Obj2L) + PhL<- Plt2[,1:2] + ClipL<- c() + for (Ns in Looprange(1,Nrow(PhL)-1)){ + P1<- PhL[Ns:(Ns+1),] + for (I in Looprange(1,Nrow(Dind))){ + Tmp<- Dmat[Dind[I,1]:Dind[I,2],] + P2<- Tmp[,1:2] + KC<- IntersectcrvsPp(P1,P2,Eps) + if(Mixlength(KC)>0){ + for (J in 1:Mixlength(KC)){ + P<- Op(1,Op(J,KC)) + Tmp<- Op(2,Op(J,KC)) + if(Tmp<1+Eps && Ns==1){ + next + } + if(Tmp>Numptcrv(P1)-Eps && Ns==(Nrow(PhL)-1)){ + next + } + N1<- Ns + N2<- Op(3,Op(J,KC)) + Pa<- Plt2[N1,1:2] + Za<- Plt2[N1,3] + Pb<- Plt2[N1+1,1:2] + Zb<- Plt2[N1+1,3] + if(Norm(Pa-Pb)<Eps){ + next + } + T1<- Norm(Pa-P)/Norm(Pa-Pb) + Z1<- (1-T1)*Za+T1*Zb + Tmp<- Dmat[Dind[I,1]:Dind[I,2],] + Pa<- Tmp[N2,1:2] + Za<- Tmp[N2,3] + Pb<- Tmp[N2+1,1:2] + Zb<- Tmp[N2+1,3] + if((Norm(Pa-Pb)<Eps)){ + next + } + T2<- Norm(Pa-P)/Norm(Pa-Pb) + Z2<- (1-T2)*Za+T2*Zb + if(Z1<Z2-Eps2){ + if(Nrow(ClipL)==0){ + Tmp<- 1 + }else{ + Tmp1<- ClipL[,1]-P[1] + Tmp2<- ClipL[,2]-P[2] + Tmp3<- Tmp1^2+Tmp2^2 + Tmp<- min(Tmp3) + } + if(Tmp>Eps^2){ + Tmp1<- P1[2,]-P1[1,] + Tmp2<- Pb-Pa + Tmp3<- Dotprod(Tmp1,Tmp2) + Tmp3<- Tmp3/Norm(Tmp1)/Norm(Tmp2) + Tmp<- 1-0.5*Tmp3^2 + ClipL<- rbind(ClipL,c(P,N1,T1,R0/Tmp)) + } + } + } + } + } + } + Te<- Nrow(Plt2) + KukanL<- rbind(c(),c(1.0,Te)) + P1<- PhL + if(Nrow(ClipL)>0){ + for (I in 1:Nrow(ClipL)){ + P<- ClipL[I,1:2] + NN<- ClipL[I,3] + T<- NN+ClipL[I,4] + R<- ClipL[I,5] + Flg<- 0 + for (J in NN:1){ + Q<- Pointoncurve(J,P1) + if(Norm(P-Q)<R){ + next + } + Flg<- 1 + break + } + if(Flg==0){ + T1<- 1 + }else{ + T1<- J; T2<- T + H<- T2-T1 + for (N in 1:10){ + H<- H*0.5 + Q<- Pointoncurve(T1+H,P1) + if(Norm(P-Q)<R){ + T2<- T2-H + }else{ + T1<- T1+H + } + } + } + Ku<- c(T1) + Flg<- 0 + for (J in Looprange(NN+1,Te)){ + Q<- Pointoncurve(J,P1) + if(Norm(P-Q)<R){ + next + } + Flg<- 1 + break + } + if(Flg==0){ + T2<- Te + }else{ + T1<- T; T2<- J + H<- T2-T1 + for (N in 1:10){ + H<- H*0.5 + Q<- Pointoncurve(T1+H,P1) + if(Norm(P-Q)<R){ + T1<- T1+H + }else{ + T2<- T2-H + } + } + } + Ku<- c(Ku,T2) + KukanL<- Kukannozoku(Ku,KukanL) + } + } + Res<- list() + for (I in Looprange(1,Nrow(KukanL))){ + T1<- KukanL[I,1]; N1<- trunc(T1) + T2<- KukanL[I,2]; N2<- trunc(T2) + PtL<- list() + if(T1-N1<1-Eps){ + Tmp<- Pointoncurve(T1,P1) + PtL<- list(Tmp) + } + for (J in Looprange(N1+1,N2)){ + Tmp<- Pointoncurve(J,P1) + PtL<- c(PtL,list(Tmp)) + } + if(T2-N2>Eps){ + Tmp<- Pointoncurve(T2,P1) + PtL<- c(PtL,list(Tmp)) + } + Res<- c(Res,list(Listplot(PtL))) + } + Allres<- c(Allres,Res) + } + return(Allres) +} + +######################### + +#100815 +Makeskeletonpersdata<- function(Obj2L,Plt2L,R0,Eps2){ + Eps<- 10.0^(-3) + Dmat<- c() + Dind<- c() + for (I in Looprange(1,Mixlength(Plt2L))){ + Dt<- Op(I,Plt2L) + N1<- Nrow(Dmat)+1 + Dmat<- rbind(Dmat,Dt) + N2<- Nrow(Dmat) + Dind<- rbind(Dind,c(N1,N2)) + } + Nind<- Nrow(Dind) + Allres<- list() + for (Nobj in Looprange(1,Mixlength(Obj2L))){ + Plt2<- Op(Nobj,Obj2L) + PhL<- Plt2[,1:2] + ClipL<- c() + for (Ns in Looprange(1,Nrow(PhL)-1)){ + P1<- PhL[Ns:(Ns+1),] + for (I in Looprange(1,Nrow(Dind))){ + Tmp<- Dmat[Dind[I,1]:Dind[I,2],] + P2<- Tmp[,1:2] + KC<- IntersectcrvsPp(P1,P2,Eps) + if(Mixlength(KC)>0){ + for (J in Looprange(1,Mixlength(KC))){# + P<- Op(1,Op(J,KC)) + Tmp<- Op(2,Op(J,KC)) + if(Tmp<(1+Eps) && Ns==1){ + next + } + if(Tmp>Numptcrv(P1)-Eps && Ns==(Nrow(PhL)-1)){ + next + } + N1<- Ns + N2<- Op(3,Op(J,KC)) + Pa<- Plt2[N1,1:2] + Za<- Plt2[N1,3] + Pb<- Plt2[N1+1,1:2] + Zb<- Plt2[N1+1,3] + if(Norm(Pa-Pb)<Eps){ + next + } + T1<- Norm(Pa-P)/Norm(Pa-Pb)#norm(Pa-P)/norm(Pa-Pb) + Pka<- Cancoordpers(c(Pa[1],Pa[2],Za)) + Pkb<- Cancoordpers(c(Pb[1],Pb[2],Zb)) + if(T1>1-Eps){ + Pk<- Pkb + }else{ + Tmp1<- Listplot(c(Pa,Pb)) + Tmp2<- Spaceline(c(Pka,Pkb)) + Tmp<- Invperspt(1+T1,Tmp1,Tmp2) + Pk<- Op(1,Tmp) + } + Z1<- Zperspt(Pk) + Tmp<- Dmat[Dind[I,1]:Dind[I,2],] + Pa<- Tmp[N2,1:2] + Za<- Tmp[N2,3] + Pb<- Tmp[N2+1,1:2] + Zb<- Tmp[N2+1,3] + if(Norm(Pa-Pb)<Eps){ + next + } + T2<- Norm(Pa-P)/Norm(Pa-Pb) + Pka<- Cancoordpers(c(Pa[1],Pa[2],Za)) + Pkb<- Cancoordpers(c(Pb[1],Pb[2],Zb)) + if(T2>(1-Eps)){ + Pk<- Pkb + }else{ + Tmp1<- Listplot(c(Pa,Pb)) + Tmp2<- Spaceline(c(Pka,Pkb)) + Tmp<- Invperspt(1+T2,Tmp1,Tmp2) + Pk<- Op(1,Tmp) + } + Z2<- Zperspt(Pk) + if(Z1<(Z2-Eps2)){ + if(length(ClipL)==0){ + Tmp<- 1 + }else{ + Tmp1<- ClipL[,1]-P[1] + Tmp2<- ClipL[,2]-P[2] + Tmp3<- Tmp1^2+Tmp2^2 + Tmp<- min(Tmp3) + } + if(Tmp>Eps^2){ + Tmp1<- P1[2,]-P1[1,] + Tmp2<- Pb-Pa + Tmp3<- Dotprod(Tmp1,Tmp2) + Tmp3<- Tmp3/Norm(Tmp1)/Norm(Tmp2) + Tmp<- 1-0.5*Tmp3^2 + ClipL<- rbind(ClipL,c(P,N1,T1,R0/Tmp)) + } + } + } + } + } + } + Te<- Nrow(Plt2) + KukanL<- rbind(c(),c(1.0,Te)) + P1<- PhL + if(Nrow(ClipL)>0){ + for (I in Looprange(1,Nrow(ClipL))){ + P<- ClipL[I,1:2] + NN<- ClipL[I,3] + T<- NN+ClipL[I,4] + R<- ClipL[I,5] #added 10.08.17 + Flg<- 0 + for (J in NN:1){ + Q<- Pointoncurve(J,P1) + if(Norm(P-Q)<R){#(norm(P-Q)<R) + next + } + Flg<- 1 + break + } + if(Flg==0){ + T1<- 1 + }else{ + T1<- J; T2<- T + H<- T2-T1 + for (N in 1:10){ + H<- H*0.5 + Q<- Pointoncurve(T1+H,P1) + if(Norm(P-Q)<R){ # norm(P-Q)<R + T2<- T2-H + }else{ + T1<- T1+H + } + } + } + Ku<- c(T1)#Ku<- [T1] + Flg<- 0 + for (J in Looprange(NN+1,Te)){ + Q<- Pointoncurve(J,P1) + if(Norm(P-Q)<R){ + next#continue + } + Flg<- 1 + break + } + if(Flg==0){ + T2<- Te + }else{ + T1<- T; T2<- J + H<- T2-T1 + for (N in 1:10){ + H<- H*0.5 + Q<- Pointoncurve(T1+H,P1) + if(Norm(P-Q)<R){ + T1<- T1+H + }else{ + T2<- T2-H + } + } + } + Ku<- c(Ku,T2)#[Ku,T2] + KukanL<- Kukannozoku(Ku,KukanL) + } + } + Res<- list()#[] + for (I in Looprange(1,Nrow(KukanL))){#(I=1:size(KukanL,1)) + T1<- KukanL[I,1]; N1<- trunc(T1) + T2<- KukanL[I,2]; N2<- trunc(T2) + PtL<- list()#[] + if(T1-N1<1-Eps){ + Tmp<- Pointoncurve(T1,P1) + PtL<- list(Tmp)#100816c(PtL,list(Tmp)) PtL<- MixS(Tmp) + } + for (J in Looprange(N1+1,N2)){ + Tmp<- Pointoncurve(J,P1) + PtL<- c(PtL,list(Tmp))#Mixadd(PtL,Tmp) + } + if(T2-N2>Eps){ + Tmp<- Pointoncurve(T2,P1) + PtL<- c(PtL,list(Tmp))#Mixadd(PtL,Tmp) + } + Res<- c(Res,list(Listplot(PtL)))#Res<- Mixadd(Res,Listplot(PtL)) + } + Allres<- c(Allres,Res)#Allres<- Mixjoin(Allres,Res) + } + return(Allres) +} + +##############################3 + +MakeveLfaceL<- function(VfL){ +# // Out format +# // VeL Edge, Face num(as numlist), VeL num +# // FL Face (Vertexs) + Eps<- 10^(-4) + Tmp<- VfL[[length(VfL)]] + Tmp1<- Tmp[[1]] + if(mode(Tmp1)=="numeric"){ + FvL<- list(VfL) + }else{ + FvL<- VfL + } + EL<- list(); FL<- list() + for (Nn in Looprange(1,length(FvL))){ + Tmp<- FvL[[Nn]] + VL<- Tmp[[1]] + if(length(VL)>0){ + FnL<- Tmp[[2]] + FaceL<- list() + for (I in Looprange(1,length(FnL))){ + Tmp1<- FnL[[I]] + PtL<- list() + for (J in Looprange(1,length(Tmp1))){ + Tmp2<- Tmp1[[J]] + PtL[[J]]<- VL[[Tmp2]] + } + FaceL[[I]]<- PtL + } + }else{ + FaceL<- list(Tmp[[2]]) + } + for (I in Looprange(1,length(FaceL))){ + Face<- FaceL[[I]] + Face<- c(Face,list(Face[[1]])) + FL<- c(FL,list(Face)) + for (J in Looprange(1,length(Face)-1)){ + Edge<- list(Face[[J]],Face[[J+1]]) + Flg<- 0 + for (K in Looprange(1,length(EL))){ + Tmp<- EL[[K]] + Tmp1<- Tmp[[1]] + Tmp2<- Norm(Edge[[1]]-Tmp1[[1]])+Norm(Edge[[2]]-Tmp1[[2]]) + Tmp3<- Norm(Edge[[1]]-Tmp1[[2]])+Norm(Edge[[2]]-Tmp1[[1]]) + if(Tmp2<Eps || Tmp3<Eps){#( + Tmp<- EL[[K]] + Tmp1<- Tmp[[1]] + Tmp2<- c(Tmp[[2]],length(FL)) + EL[[K]]<- list(Tmp1,Tmp2,K) + Flg<- 1 + break + } + } + if(Flg==0){ + Ntmp<- length(EL) + EL[[Ntmp+1]]<- list(Edge,c(length(FL)),Ntmp+1) + } + } + } + } + Out<- list(EL,FL) + return(Out) +} + +########################### +#// 09.10.29 +#// 09.11.15 + +Menkakusi2<- function(Face,Nf,Ptype){ +# global THETA PHI EyePoint FocusPoint VELNO VELHI + Eps0<- 10^(-6) + Eps<- 10^(-4) + Tmp1<- Face[[1]]-Face[[2]] + Tmp2<- Face[[3]]-Face[[2]] + if(Norm(Tmp1)<Eps || Norm(Tmp2)<Eps){ + return() + } + Vec<- 1/Norm(Tmp1)/Norm(Tmp2)*Crossprod(Tmp1,Tmp2) + if(Norm(Vec)<Eps){ + return() + } + if(Ptype== -1){ + W<- EyePoint + Tmp<- Dotprod(Vec,W-Face[[1]]) + }else{ + W<- c(sin(THETA)*cos(PHI),sin(THETA)*sin(PHI),cos(THETA)) + W<- 100*W + Tmp<- Dotprod(Vec,W-Face[[1]]) + } + if(abs(Tmp)<Eps){ + return() + } + if(Tmp<-Eps){ + Vec<- -Vec + } + if(Ptype==-1){ + G1<- Projpers(Spaceline(Face)) + }else{ + G1<- Projpara(Spaceline(Face)) + } + VL<- list() + for (I in Looprange(1,Numptcrv(G1))){ + VL[[I]]<- Ptcrv(I,G1) + } + Out1L<- list() + Out2L<- VELHI + for (N in Looprange(1,length(VELNO))){ + Out1<- list() + Out2<- list() + Tmp<- VELNO[[N]] + Edge<- Tmp[[1]] + Ne<- Tmp[[2]] + NNe<- Tmp[[3]] + if(Member(Nf,Ne)){ + Out1L<- c(Out1L, list(list(Edge,Ne,NNe))) + next + } + if(Ptype==-1){ + PtA<- Perspt(Edge[[1]]) + PtB<- Perspt(Edge[[2]]) + }else{ + PtA<- Parapt(Edge[[1]]) + PtB<- Parapt(Edge[[2]]) + } + if(Norm(PtA-PtB)<Eps){ + next + } + Bdy<- list(G1) + V<- PtB-PtA + TenL<- KoutenList(PtA,V,Bdy) + Nten<- length(TenL) + if(Nten==0){ # debug 10.08.17 + Out1L<- c(Out1L,list(list(Edge,Ne,NNe))) + next + } + Te<- 0 + Pe3<- Edge[[1]] + if(Ptype==-1){ + Tmp1<- Perspt(Pe3) + Tmp<- Invperspt(Tmp1,Spaceline(Face)) + }else{ + Tmp1<- Parapt(Pe3) + Tmp<- Invparapt(Tmp1,Spaceline(Face)) + } + Qe3<- Tmp[[1]] + Flg<- 0 + for (I in Looprange(1,Nten)){ + TenP<- TenL[[I]] + Ts<- TenP[[1]] + P<- TenP[[2]] + if(Ts< -Eps){ + next + } + Eline<- Spaceline(Edge) + if(Ptype==-1){ + Tmp<- Invperspt(P,Eline) + Tmp1<- Invperspt(P,Spaceline(Face)) + }else{ + Tmp<- Invparapt(P,Eline) + Tmp1<- Invparapt(P,Spaceline(Face)) + } + P3<- Tmp[[1]]; Q3<- Tmp1[[1]] + if(Ts>1-Eps){# // P3, Q3 are necessary + Flg<- I + break + } + if(abs(Te-Ts)>Eps0){ + if((I%%2)==1){ + Out1<- c(Out1,list(list(Pe3,P3))) + }else{ + if(length(Qe3)==0){ + Tmp<- Op(2,TenL[[I-1]]) + if(Ptype==-1){ + Tmp1<- Invperspt(Tmp,Spaceline(Face)) + }else{ + Tmp1<- Invparapt(Tmp,Spaceline(Face)) + } + Qe3<- Tmp1[[1]] + } + PM<- 0.5*(Pe3+P3); QM<- 0.5*(Qe3+Q3) + if(Ptype==-1){ + Z1<- Zperspt(PM); Z2<- Zperspt(QM) + }else{ + Z1<- Zparapt(PM); Z2<- Zparapt(QM) + } + if(Z1>Z2){ + Out1<- c(Out1, list(list(Pe3,P3))) + }else{ + Out2<- c(Out2, list(list(Pe3,P3))) + }## + } + } + Te<- Ts; Pe3<- P3; Qe3<- Q3 + } + if(Flg==0){ + if(Norm(Pe3-Edge[[2]])>Eps0){ + Out1<- c(Out1, list(list(Pe3,Edge[[2]]))) + } + }else{ + if((Flg%%2)==1){ + Out1<- c(Out1, list(list(Pe3,Edge[[2]]))) + }else{ + PM<- 0.5*(Pe3+P3); QM<- 0.5*(Qe3+Q3) + if(Ptype==-1){ + Z1<- Zperspt(PM); Z2<- Zperspt(QM) + }else{ + Z1<- Zparapt(PM); Z2<- Zparapt(QM) + } + if(Z1>Z2){ + Out1<- c(Out1, list(list(Pe3,Edge[[2]]))) + }else{ + Out2<- c(Out2, list(list(Pe3,Edge[[2]]))) + } + } + } + for (I in Looprange(1,length(Out1))){ + Tmp<- Out1[[I]] + if(I==1){ + SeL<- Tmp + }else{ + if(Norm(SeL[[2]]-Tmp[[1]])<Eps0){ + SeL[[2]]<- Tmp[[2]] + }else{ + Out1L<- c(Out1L, list(list(SeL,Ne,NNe))) + SeL<- Tmp + } + } + } + if(length(Out1)>0){ + Out1L<- c(Out1L, list(list(SeL,Ne,NNe))) + } + for (I in Looprange(1,length(Out2))){ + Tmp<- Out2[[I]] + if(I==1){ + SeL<- Tmp + }else{ + if(Norm(SeL[[2]]-Tmp[[1]])<Eps0){ + SeL[[2]]<- Tmp[[2]] + }else{ + Out2L<- c(Out2L, list(list(SeL,Ne,NNe))) + SeL<- Tmp + } + } + } + if(length(Out2)>0){ + Out2L<- c(Out2L, list(list(SeL,Ne,NNe))) + } + } + VELNO<<- Out1L + VELHI<<- Out2L +} + +################################### + +Parapt<- function(Plist){ # 18.02.19 changed (for point list) + if(!is.list(Plist)){Plist=list(Plist)} + Out=list() + for(jj in 1:length(Plist)){ + P=Op(jj,Plist) + x<- P[1] + y<- P[2] + z<- P[3] + Xz<- -x*sin(PHI)+y*cos(PHI) + Yz<- -x*cos(PHI)*cos(THETA)-y*sin(PHI)*cos(THETA)+z*sin(THETA) + Out<- c(Out,list(c(Xz,Yz))) + } + if(length(Out)==1){Out=Op(1,Out)} + return(Out) +} + +################################### + +Partcrv3<- function(T1,T2,Fk){ + Eps0=10^(-4) +#// Tmp=Mixop(1,Fk) +#// new part from + if(T1>(T2+Eps0)){ + Npt<- Nrow(Fk) + Out1<- Partcrv3(T1,Npt,Fk) + Out2<- Partcrv3(1,T2,Fk) + Tmp<- Fk[1,]-Fk[Npt,] + if(Norm(Tmp)<Eps0){ + PL<- Joincrvs(Out1,Out2) + }else{ + PL<- list(Out1,Out2) + } + rownames(PL)<- 1:Nrow(PL) + return(PL) + } + if(floor(T1)==floor(T2)){ #18.02.26from + Tmp=floor(T1) + p1=Op(Tmp,Fk); p2=Op(Tmp+1,Fk) + PL=c(p1+(T1-Tmp)*(p2-p1)) + PL=Appendrow(PL, p1+(T2-Tmp)*(p2-p1)) #18.02.26upto + }else{ + Is<- ceiling(T1) + Ie<- floor(T2) + PL<- c() + if(T1<Is-Eps0){ + P<- (Is-T1)*Fk[Is-1,]+(1-Is+T1)*Fk[Is,] + PL<- Appendrow(PL, P) #18.02.10(bug) + } + PL<- Appendrow(PL,Fk[Is:Ie,]) + if(T2>(Ie+Eps0)){ + P<- (1-T2+Ie)*Fk[Ie,]+(T2-Ie)*Fk[Ie+1,] + PL<- Appendrow(PL,P) + } + } + return(PL) +} + +################################### + +#100815 +Perspt<- function(P){ + Tmp<- P-FocusPoint + X1<- Tmp[1]; Y1<- Tmp[2]; Z1<- Tmp[3] + Tmp<- EyePoint-FocusPoint + E1<- Tmp[1];F1<- Tmp[2];G1<- Tmp[3] + Ca<- E1/sqrt(E1^2+F1^2) + Sa<- F1/sqrt(E1^2+F1^2) + X2<- X1*Ca+Y1*Sa; Y2<- -X1*Sa+Y1*Ca; Z2<- Z1 + E2<- E1*Ca+F1*Sa; F2<- -E1*Sa+F1*Ca; G2<- G1 + Cb<- E2/sqrt(E2^2+G2^2) + Sb<- G2/sqrt(E2^2+G2^2) + X3<- X2*Cb+Z2*Sb; Y3<- Y2; Z3<- -X2*Sb+Z2*Cb + E3<- E2*Cb+G2*Sb; F3<- F2; G3<- -E2*Sb+G2*Cb + Yz<- E3/(E3-X3)*Y3 + Zz<- E3/(E3-X3)*Z3 + Out<- c(Yz,Zz) + return(Out) +} + + +################################# + +Phcutdata<- function(VL,FaceL,PlaneD){ + Out<- list() + EL<- list() + Eps<- 10^(-4) + for (I in Looprange(1,Mixlength(FaceL))){ + Face<- Op(I,FaceL) + for (J in Looprange(1,length(Face))){ + Nj<- J+1 + if(J==length(Face)){ + Nj<- 1 + } + N1<- Face[J]; N2<- Face[Nj] + Tmp<- c(N1,N2) + Flg<- 0 + for (K in Looprange(1,Mixlength(EL))){ + Tmp1<- Op(K,EL) + Tmp2<- Tmp1[2:1] + if(all(Tmp==Tmp1) || all(Tmp==Tmp2)){ + Flg<- 1 + break + } + } + if(Flg==0){ + EL<- c(EL,list(Tmp)) + } + } + } + Out0<- list() + for (I in Looprange(1,Mixlength(EL))){ + Tmp<- Op(I,EL) + Tmp1<- Op(Tmp[1],VL) + Tmp2<- Op(Tmp[2],VL) + Out0<- c(Out0, list(Spaceline(Tmp1,Tmp2))) + } + if(Mixtype(PlaneD)!=1){ + V1<- Op(1,PlaneD) + Tmp<- Op(2,PlaneD) + if(length(Tmp)>1){ + d<- V1[1]*Tmp[1]+V1[2]*Tmp[2]+V1[3]*Tmp[3] + }else{ + d<- Tmp + } + }else if(mode(PlaneD)=="numeric"){ + V1<- PlaneD[1:3] + d<- PlaneD[4] + }else{ + StrV<- strsplit(PlaneD,"=",fixed=TRUE) + StrV<- StrV[[1]] + if(length(StrV)>1){ + Tmp1<- StrV[1] + Tmp2<- StrV[2] + PlaneD<- paste(Tmp1,"-(",Tmp2,")",sep="") + } + x<- 0; y<- 0; z<- 0 + d<- -eval(parse(text=PlaneD)) + x<- 1; y<- 0; z<- 0; + Tmp1<- eval(parse(text=PlaneD))+d + x<- 0; y<- 1; z<- 0 + Tmp2<- eval(parse(text=PlaneD))+d + x<- 0; y<- 0; z<- 1 + Tmp3<- eval(parse(text=PlaneD))+d + V1<- c(Tmp1,Tmp2,Tmp3) + } + if(all(V1==c(0,0,0))){ + return(Out0) + } + V3<- c(1,0,0) + Out1<- Rotate3data(Out0,V1,V3) + Tmp2<- Rotate3pt(c(1,0,0),V3,V1) + Tmp<- V1[1]*Tmp2[1]+V1[2]*Tmp2[2]+V1[3]*Tmp2[3] + x0<- d/Tmp + PtL<- list() + for (I in Looprange(1,Mixlength(Out1))){ + Tmp<- Op(I,Out1) + Tmp1<- Tmp[1,]; Tmp2<- Tmp[2,] + P<- list(Tmp1,Tmp2-Tmp1) + Tmp<- list(Tmp1[1],Tmp2[1]-Tmp1[1]) + if(abs(Tmp[[2]]) < Eps){ + Tmp<- c() + }else{ + Tmp1<- Tmp[[2]] + Tmp2<- x0-Tmp[[1]] + Tmp<- c(Tmp2/Tmp1) + } + if(length(Tmp)>0){ + Tmp<- Tmp[1] + if(Tmp>-Eps && Tmp<(1+Eps)){ + Tmp3<- P[[1]]+Tmp*P[[2]] + Tmp3<- Rotate3pt(Tmp3,V3,V1) + if(Tmp<Eps){ + Tmp1<- Op(I,EL) + Tmp1<- Tmp1[1] + Tmp4<- list(c(Tmp1,Tmp1),Tmp3) + }else{ + if(Tmp>1-Eps){ + Tmp1<- Op(I,EL) + Tmp1<- Tmp1[2] + Tmp4<- list(c(Tmp1,Tmp1),Tmp3) + }else{ + Tmp4<- list(Op(I,EL),Tmp3) + } + } + Flg<- 0 + for (J in Looprange(1,Mixlength(PtL))){ + Tmp<- Op(J,PtL) + Tmp<- Op(2,Tmp) + if(Norm(Tmp3-Tmp)<Eps){ + Flg<- 1 + break + } + } + if(Flg==0){ + PtL<- c(PtL,list(Tmp4)) + } + } + } + } + if(Mixlength(PtL)==0){ + return(Out0) + } + PL<- list(Op(1,PtL)) + QL<- PtL[2:Mixlength(PtL)] + N<- Mixlength(QL) + for (I in Looprange(2,N+1)){ + Tmp1<- Op(Mixlength(PL),PL) + Tmp1<- Op(1,Tmp1) + for (J in Looprange(1,Mixlength(QL))){ + Tmp2<- Op(J,QL) + Tmp2<- Op(1,Tmp2) + Flg<- 0 + for (K in Looprange(1,Mixlength(FaceL))){ + Tmp3<- Op(K,FaceL); + if(Member(Tmp1[1],Tmp3) && + Member(Tmp1[2],Tmp3) && + Member(Tmp2[1],Tmp3) && + Member(Tmp2[2],Tmp3)){ + Flg<- 1 + break + } + } + if(Flg==1){ + break + } + } + J<- min(J, Mixlength(QL)) + PL<- c(PL,list(Op(J,QL))) + Tmp1<- QL[Looprange(1,J-1)] + Tmp2<- QL[Looprange(J+1,Mixlength(QL))] + QL<- c(Tmp1,Tmp2) + if(Mixlength(QL)==0){ + break + } + } + PHCUTPOINTL<<- PL + Tmp<- list() + for (J in Looprange(1,Mixlength(PL))){ + Tmp1<- Op(J,PL) + Tmp1<- Op(2,Tmp1) + Tmp<- c(Tmp,list(Tmp1)) + } + Tmp1<- Op(1,PL) + Tmp1<- Op(2,Tmp1) + Tmp<- c(Tmp,list(Tmp1)) + Out2<- Spaceline(Tmp) + Out<- c(Out0,list(Out2)) +} + +######################################### + +Phcutoffdata<- function(...){ + varargin<-list(...) + Eps<- 10^(-4) + Out2<- list() + VL<- varargin[[1]] + FaceL<- varargin[[2]] + PlaneD<- varargin[[3]] + Sgnstr<- varargin[[4]] + Fugou<- 1 + if(Sgnstr=="-" || Sgnstr=="n"){ + Fugou<- -1 + } + Out0<- Phcutdata(VL,FaceL,PlaneD) + PtL<- PHCUTPOINTL + PHVERTEXL<<- VL + PHFACEL<<- FaceL + if(length(PtL)==0){ + Out2<- Out0 + return(Out2) + } + N1<- Mixlength(VL) + Face<- c() + for (I in Looprange(1,Mixlength(PtL))){ + Tmp<- Op(I,PtL) + Tmp3<- Op(1,Tmp) + Tmp1<- Tmp3[[1]]; Tmp2<- Tmp3[[2]] # debugged 10.08.14 + if(Tmp1!=Tmp2){ + VL<- c(VL,list(Op(2,Tmp))) + N1<- N1+1 + Tmp1<- N1 + } + Face<- c(Face,Tmp1) + PtL[[I]]<- list(Op(1,Tmp),Tmp1) + } + OutfL<- list(Face) + if(Mixtype(PlaneD)!=1){ + V1<- Op(1,PlaneD) + Tmp<- Op(2,PlaneD) + if(length(Tmp)>1){ + d<- V1[1]*Tmp[1]+V1[2]*Tmp[2]+V1[3]*Tmp[3] + }else{ + d<- Tmp + } + }else if(mode(PlaneD)=="numeric"){ + V1<- PlaneD[1:3] + d<- PlaneD[4] + }else{ + StrV<- strsplit(PlaneD,"=",fixed=TRUE) + StrV<- StrV[[1]] + if(length(StrV)>1){ + Tmp1<- StrV[1] + Tmp2<- StrV[2] + PlaneD<- paste(Tmp1,"-(",Tmp2,")",sep="") + } + x<- 0; y<- 0; z<- 0 + d<- -eval(parse(text=PlaneD)) + x<- 1; y<- 0; z<- 0 + Tmp1<- eval(parse(text=PlaneD))+d + x<- 0; y<- 1; z<- 0 + Tmp2<- eval(parse(text=PlaneD))+d + x<- 0; y<- 0; z<- 1 + Tmp3<- eval(parse(text=PlaneD))+d + V1<- c(Tmp1,Tmp2,Tmp3) + } + for (I in Looprange(1,Mixlength(FaceL))){ + Face<- Op(I,FaceL) + TmpL<- list() + for (J in Looprange(1,length(Face))){ + N1<- Face[J] + if(J==length(Face)){ + N2<- Face[1] + }else{ + N2<- Face[J+1] + } + for (K in Looprange(1,Mixlength(PtL))){ + Pd<- Op(K,PtL) + Tmp<- Op(1,Pd) + if(Tmp[1]==Tmp[2]){ + if(Tmp[1]==N1){ + TmpL<- c(TmpL,list(list(J,c(N1,N2),Op(2,Pd)))) + } + }else{ + if(all(Tmp==c(N1,N2)) || all(Tmp==c(N2,N1))){ + TmpL<- c(TmpL,list(list(J,c(N1,N2),Op(2,Pd)))) + } + } + } + } + if(Mixlength(TmpL)<2){ + Flg<- 0 + for (J in Looprange(1,length(Face))){ + Tmp<- Op(Face[J],VL) + Tmp1<- Fugou*(Dotprod(V1,Tmp)-d) + if(Tmp1< -Eps){ + Flg<- 1 + break + } + } + if(Flg==0){ + OutfL<- c(OutfL,list(Face)) + } + next + } + Pd<- Op(1,TmpL) + Qd<- Op(2,TmpL) + Outf1<- c(Op(3,Pd)) + Nf<- Op(1,Pd)+1 + Tmp<- Op(2,Pd) + JJ<- 0 + while (!all(Tmp==Op(2,Qd))){ + JJ<- JJ+1 + if(JJ>20){ + print("bug") + return() + } + Tmp1<- Tmp[2] + if(Outf1[length(Outf1)]!=Tmp1){ + Outf1<- c(Outf1,Tmp1) + } + Tmp<- c(Face[Nf]) + Nf<- Nf+1 + if(Nf>length(Face)){ + Nf<- 1 + } + Tmp<- c(Tmp,Face[Nf]) + } + Tmp1<- Op(3,Qd) + if(Outf1[length(Outf1)]!=Tmp1){ + Outf1<- c(Outf1,Tmp1) + } + Outf2<- c(Op(3,Pd)) + Nf<- Op(1,Pd) + Tmp<- Op(2,Pd) + JJ<- 0 + while (!all(Tmp==Op(2,Qd))){ + JJ<- JJ+1 + if(JJ>20){ + print("bug") + return() + } + Tmp1<- Tmp[1] + if(Outf2[length(Outf2)]!=Tmp1){ + Outf2<- c(Outf2,Tmp1) + } + Tmp<- c(Face[Nf]) + Nf<- Nf-1 + if(Nf<1){ + Nf<- length(Face) + } + Tmp<- c(Face[Nf],Tmp) + } + Tmp1<- Op(3,Qd) + if(Outf2[length(Outf2)]!=Tmp1){ + Outf2<- c(Outf2,Tmp1) + } + if(length(Outf1)<3 || length(Outf2)<3){ + Face<- Outf1 + if(length(Outf1)<length(Outf2)){ + Face<- Outf2 + } + Flg<- 0 + for (J in Looprange(1,length(Face))){ + Tmp<- Op(Face(J),VL) + Tmp1<- Fugou*(Dotprod(V1,Tmp)-d) + if(Tmp1<-Eps){ + Flg<- 1 + break + } + } + if(Flg==0){ + OutfL<- c(OutfL,list(Face)) + } + }else{ + Tmp<- Op(Outf1[2],VL) + Tmp1<- Outf1 + Tmp2<- Fugou*(Dotprod(V1,Tmp)-d) + if(Tmp2<0){ + Tmp1<- Outf2 + } + OutfL<- c(OutfL,list(Tmp1)) + } + } + PHVERTEXL<<- VL + PHFACEL<<- OutfL + Out2<- Phcutdata(VL,OutfL,c(0,0,0,0)) + return(Out2) +} + +####################### + +Phparadata<- function(VL,FaceL){ + Out<- Facesdata(list(VL,FaceL),"para") + return(Out) +} + +#################################### + +Phpersdata<- function(VL,FaceL){ + Out<- Facesdata(list(VL,FaceL),"pers") + return(Out) +} + +#################################### + +Phspersdata<- function(Fdata){ + Out<- Facesdata(Fdata,"pers") + return(Out) +} + +#################################### + +Phsparadata<- function(Fdata){ + Out<- Facesdata(Fdata,"para") + return(Out) +} + +######################### + +#100816 +Projpers<- function(...){ + varargin<- list(...) + Nargs<- length(varargin) + Flg<- 0 + if(Nargs==1 && Mixtype(varargin[[1]])==1){ + Flg<- 1 + } + CL<- list() + for (N in Looprange(1,Nargs)){ + Crv<- varargin[[N]] + if(Mixtype(Crv)==1){ + Tmp<- CameraCurve(Crv) + CL<- c(CL,list(Tmp)) + }else{ + if(Mixtype(Crv)==3){ + ObjL<- list() + for (I in Looprange(1,Mixlength(Crv))){ + Tmp1<- Op(I,Crv) + if(Mixtype(Tmp1)==1){ + ObjL<- c(ObjL,list(Tmp1)) + }else{ + ObjL<- c(ObjL,Tmp1) + } + } + Crv<- ObjL + } + for (J in Looprange(1,Mixlength(Crv))){ + Tmp<- CameraCurve(Op(J,Crv)) + CL<- c(CL,list(Tmp)) + } + } + } + if(Mixlength(CL)==1 && Flg==1){ + CL<- Op(1,CL) + } + return(CL) +} + +################################### + +ProjcoordCurve<- function(Curve){ + SP<- sin(PHI); CP<- cos(PHI) + ST<- sin(THETA); CT<- cos(THETA) + Out<- c() + for (J in Looprange(1,Nrow(Curve))){ + P<- Ptcrv(J,Curve) + x<- P[1]; y<- P[2]; z<- P[3] + Xz<- -x*SP+y*CP + Yz<- -x*CP*CT-y*SP*CT+z*ST + Zz<- x*CP*ST+y*SP*ST+z*CT + Out<- c(Out,Xz,Yz,Zz) + } + Out<- matrix(Out,ncol=3,byrow=TRUE) + return(Out) +} + +################################# + +ProjCurve<- function(Curve){ # 2018.02.26 rewritten + AnsL= c() + SP=sin(PHI); CP=cos(PHI) + ST=sin(THETA); CT=cos(THETA) + for(I in Looprange(1,Length(Curve)) ){ + P=Op(I,Curve) + x=P[1]; y=P[2]; z=P[3] + if(x!=Inf){ + Xz=-x*SP+y*CP + Yz= -x*CP*CT-y*SP*CT+z*ST + AnsL=Appendrow(AnsL,c(Xz,Yz)) + Tmp= c(Xz,Yz) + }else{ + AnsL=Appendrow(AnsL,c(Inf,Inf)) + } + } + return(AnsL) +} + +#################################### + +Projpara<- function(...){ + varargin<-list(...) + Nargs<- length(varargin) + Flg<- 0 + if((Nargs==1)&&(is.numeric(varargin[[1]]))){ + Flg<- 1 + } + CL<- list() + for (N in Looprange(1,Nargs)){ + Crv<- varargin[[N]] + if(is.numeric(Crv)){ + Tmp<- ProjCurve(Crv) + CL<- c(CL,list(Tmp)) + } + else{ + if(is.list(Crv)){ + ObjL<- list() + for (I in Looprange(1,Mixlength(Crv))){ + Tmp1<- Op(I,Crv) + if(is.numeric(Tmp1)){ + ObjL<- c(ObjL,list(Tmp1)) + } + else{ + ObjL<- c(ObjL,Tmp1) + } + } + Crv<- ObjL + } + for (J in Looprange(1,length(Crv))){ + Tmp<- ProjCurve(Op(J,Crv)) + CL<- c(CL,list(Tmp)) + } + } + } + if((length(CL)==1)&&(Flg==1)){ + CL<- Op(1,CL) + } + return(CL) +} + +######################### + +#100816 +Projpers<- function(...){ + varargin<- list(...) + Nargs<- length(varargin) + Flg<- 0 + if(Nargs==1 && Mixtype(varargin[[1]])==1){ + Flg<- 1 + } + CL<- list() + for (N in Looprange(1,Nargs)){ + Crv<- varargin[[N]] + if(Mixtype(Crv)==1){ + Tmp<- CameraCurve(Crv) + CL<- c(CL,list(Tmp)) + }else{ + if(Mixtype(Crv)==3){ + ObjL<- list() + for (I in Looprange(1,Mixlength(Crv))){ + Tmp1<- Op(I,Crv) + if(Mixtype(Tmp1)==1){ + ObjL<- c(ObjL,list(Tmp1)) + }else{ + ObjL<- c(ObjL,Tmp1) + } + } + Crv<- ObjL + } + for (J in Looprange(1,Mixlength(Crv))){ + Tmp<- CameraCurve(Op(J,Crv)) + CL<- c(CL,list(Tmp)) + } + } + } + if(Mixlength(CL)==1 && Flg==1){ + CL<- Op(1,CL) + } + return(CL) +} + +######################################### +# 11.08.27 +# 14.03.23 Debugged "center" + +Rotate3data<- function(...){ +#Eps=10^(-4) + varargin<-list(...) + Nargs<- length(varargin) + Pd3<- varargin[[1]] + W1<- varargin[[2]] + W2<- varargin[[3]] + C<- c(0,0,0) + if(Nargs>=4){ + C<- varargin[[4]] + } + if(Mixtype(Pd3)==1){ + Pd3<- list(Pd3) + } else if(Mixtype(Pd3)==3){ + Tmp<- list() + for (I in Looprange(1,Mixlength(Pd3))){ + Tmp<- c(Tmp,Op(I,Pd3)) + } + Pd3<- Tmp + } + Out<- list() + for (I in Looprange(1,Mixlength(Pd3))){ + PD<- Op(I,Pd3) + Ans<- c() + for (J in Looprange(1,Nrow(PD))){ + if(is.matrix(PD)){ # 11.08.27 + P<- PD[J,] + } + else{ + P<- PD + } + Tmp<- Rotate3pt(P,W1,W2,C) # 14.03.23 + Ans<- rbind(Ans,Tmp) + } # 11.08.27 + rownames(Ans)<- 1:Nrow(Ans) #10.08.16 + Out<- c(Out,list(Ans)) + } + if(Mixlength(Out)==1){ + Out<- Op(1,Out) + } + return(Out) +} + +####################################### + +Rotate3pt<- function(...){ + varargin<-list(...) + Eps<-10^(-4) + Nargs<-length(varargin) + P<- varargin[[1]] + W1<- varargin[[2]] + W2<- varargin[[3]] + C<- c(0,0,0) + if(Nargs>=4){ + C<- varargin[[4]] + } + if(mode(W2)=="numeric" && length(W2)==1){ + Ct<- cos(W2) + St<- sin(W2) + V3<- 1/Norm(W1)*W1 + if(V3[1]==0){ + Tmp<- c(1,0,0) + }else{ + Tmp<- c(0,1,0) + } + W1<- c(Tmp[2]*V3[3]-Tmp[3]*V3[2], + Tmp[3]*V3[1]-Tmp[1]*V3[3], + Tmp[1]*V3[2]-Tmp[2]*V3[1]) + V1<- 1/Norm(W1)*W1 + V2<- c(V3[2]*V1[3]-V3[3]*V1[2], + V3[3]*V1[1]-V3[1]*V1[3], + V3[1]*V1[2]-V3[2]*V1[1]) + }else{ + Tmp<- c(W1[2]*W2[3]-W1[3]*W2[2], + W1[3]*W2[1]-W1[1]*W2[3], + W1[1]*W2[2]-W1[2]*W2[1]) + if(Norm(Tmp)<Eps){ + Ans<- P + return(Ans) + } + V1<- 1/Norm(W1)*W1 + Ns<- V1[1]*W2[1]+V1[2]*W2[2]+V1[3]*W2[3] + Tmp<- W2-Ns*V1 + V2<- 1/Norm(Tmp)*Tmp + Tmp<- c(V1[2]*V2[3]-V1[3]*V2[2], + V1[3]*V2[1]-V1[1]*V2[3], + V1[1]*V2[2]-V1[2]*V2[1]) + V3<- 1/Norm(Tmp)*Tmp + Ct<- Ns/Norm(W2) + St<- sqrt(1-Ct^2) + } + if(Norm(Tmp)<Eps){ + Ans<- P + return(Ans) + } + V1x<- V1[1]; V1y<- V1[2]; V1z<- V1[3] + V2x<- V2[1]; V2y<- V2[2]; V2z<- V2[3] + V3x<- V3[1]; V3y<- V3[2]; V3z<- V3[3] + if(Mixtype(P)!=1){ + PtL<- P + }else{ + PtL<- list(P) + } + Ans<- list() + for (N in Looprange(1,Mixlength(PtL))){ + P<- Op(N,PtL) + if(P[1]==Inf){ + Ans<- c(Ans,list(c(Inf,Inf,Inf))) + next + } + x<- P[1]-C[1]; y=P[2]-C[2]; z=P[3]-C[3] + Tmp1<- ((V1x*Ct+V2x*St)*V1x+(-V1x*St+V2x*Ct)*V2x+V3x^2)*x + Tmp2<- ((V1x*Ct+V2x*St)*V1y+(-V1x*St+V2x*Ct)*V2y+V3x*V3y)*y + Tmp3<- ((V1x*Ct+V2x*St)*V1z+(-V1x*St+V2x*Ct)*V2z+V3x*V3z)*z + X<- Tmp1+Tmp2+Tmp3 + Tmp1<- ((V1y*Ct+V2y*St)*V1x+(-V1y*St+V2y*Ct)*V2x+V3x*V3y)*x + Tmp2<- ((V1y*Ct+V2y*St)*V1y+(-V1y*St+V2y*Ct)*V2y+V3y^2)*y + Tmp3<- ((V1y*Ct+V2y*St)*V1z+(-V1y*St+V2y*Ct)*V2z+V3y*V3z)*z + Y<- Tmp1+Tmp2+Tmp3 + Tmp1<- ((V1z*Ct+V2z*St)*V1x+(-V1z*St+V2z*Ct)*V2x+V3x*V3z)*x + Tmp2<- ((V1z*Ct+V2z*St)*V1y+(-V1z*St+V2z*Ct)*V2y+V3y*V3z)*y + Tmp3<- ((V1z*Ct+V2z*St)*V1z+(-V1z*St+V2z*Ct)*V2z+V3z^2)*z + Z<- Tmp1+Tmp2+Tmp3 + Ans<- c(Ans,list(C+c(X,Y,Z))) + } + if(Mixlength(Ans)==1){ + Ans<- Op(1,Ans) + } + return(Ans) +} + +###################################### + +Setangle<- function(...){ + Eps<- 10^(-6) + varargin<-list(...) + Nargs<-length(varargin) + if(Nargs==0) { + } + else if(Nargs==1){ + V<- varargin[[1]] + V<- V/Norm(V) + THETA<<- acos(V[3]) + if(abs(sin(THETA))<Eps){ + PHI<<- 0 + } + else{ + PHI<<- acos(V[1]/sin(THETA)) + if(V[2]< -Eps) PHI<<- -PHI + } + } + else{ + PHI<<- varargin[[2]]*pi/180 + THETA<<- varargin[[1]]*pi/180 + } + Out<- paste("theta=",as.character(THETA*180/pi)," phi=", + as.character(PHI*180/pi),sep="") + return (Out) +} + +################################# + +Setpers<- function(...){ + varargin<- list(...) + Nargs<- length(varargin) + if(Nargs==0){ + } + else{ + FocusPoint<<- varargin[[1]] + EyePoint<<- varargin[[2]] + } + F<- as.character(FocusPoint) + E<- as.character(EyePoint) + Out<- paste("Focus = c(",F[1],",",F[2],",",F[3],") , ", + " Eye = c(", E[1],",",E[2],",",E[3],") ",sep="") + return (Out) +} + +################################# + +SetstereoL<- function(R,T,P,H){ + X<- R*sin(T*pi/180)*cos(P*pi/180) + Y<- R*sin(T*pi/180)*sin(P*pi/180) + Z<- R*cos(T*pi/180) + Eye<- c(X+H/2*Y/(X^2+Y^2),Y-H/2*X/(X^2+Y^2),Z) + Out<- Setpers(c(0,0,0),Eye) + return(Out) +} + +################################# + +SetstereoR<- function(R,T,P,H){ + X<- R*sin(T*pi/180)*cos(P*pi/180) + Y<- R*sin(T*pi/180)*sin(P*pi/180) + Z<- R*cos(T*pi/180) + Eye<- c(X-H/2*Y/(X^2+Y^2),Y+H/2*X/(X^2+Y^2),Z) + Out<- Setpers(c(0,0,0),Eye) + return(Out) +} + +############################### + +Sf3data<- function(...){ + varargin<-list(...) + Nargs<- length(varargin) + FdL<- Fullformfunc(varargin[[1]]) + F<- Op(1,FdL) + Xf<- Op(2,FdL) + Yf<- Op(3,FdL) + Zf<- Op(4,FdL) + Urg<- Op(5,FdL) + Vrg<- Op(6,FdL) + Str<- strsplit(Urg,"=",fixed=TRUE)[[1]] + U<- Str[1] + Tmp<- Str[2] + Tmp<- eval(parse(text=Tmp)) + Umin<- Tmp[1]; Umax<- Tmp[2] + Str<- strsplit(Vrg,"=",fixed=TRUE)[[1]] + V<- Str[1] + Tmp<- Str[2] + Tmp<- eval(parse(text=Tmp)) + Vmin<- Tmp[1]; Vmax<- Tmp[2] + Ndu<- 25 ; Ndv<- 25; Np<- c(50,50) + if(Nargs>=3){ + Ndu<- varargin[[2]] + Ndv<- varargin[[3]] + } + if(Nargs>=4){ + Np<- varargin[[4]] + if(mode(Np)=="numeric" && length(Np)==1){ + Np<- c(Np,Np) + } + } + Du<- (Umax-Umin)/Ndu + Dv<- (Vmax-Vmin)/Ndv + PL <- c()#PL <- [] + Assign("Vmin",Vmin,"Vmax",Vmax) + Trgstr<- Assign("t=c(Vmin,Vmax)") + PL <- list() + for (I in Looprange(0,Ndu)){ + U0 <- paste("(",as.character(Umin+I*Du),")",sep="") + Tmp<- gsub(U,U0,Xf,fixed=TRUE) + Tmp1<- gsub(V,"t",Tmp,fixed=TRUE) + Tmp<- gsub(U,U0,Yf,fixed=TRUE) + Tmp2<- gsub(V,"t",Tmp,fixed=TRUE) + Tmp<- gsub(U,U0,Zf,fixed=TRUE) + Tmp3<- gsub(V,"t",Tmp,fixed=TRUE) + Tmp<- paste("c(",Tmp1,",",Tmp2,",",Tmp3,")",sep="") + PD<- Spacecurve(Tmp,Trgstr,paste("N=",as.character(Np[2]))) + PL<- c(PL,list(PD)) + } + Assign("Umin",Umin,"Umax",Umax) + Trgstr<- Assign("t=c(Umin,Umax)") + for (J in Looprange(0,Ndv)){ + V0<- paste("(",as.character(Vmin+J*Dv),")",sep="") + Tmp<- gsub(V,V0,Xf,fixed=TRUE) + Tmp1<- gsub(U,"t",Tmp,fixed=TRUE) + Tmp<- gsub(V,V0,Yf,fixed=TRUE) + Tmp2<- gsub(U,"t",Tmp,fixed=TRUE) + Tmp<- gsub(V,V0,Zf,fixed=TRUE) + Tmp3<- gsub(U,"t",Tmp,fixed=TRUE) + Tmp<- paste("c(",Tmp1,",",Tmp2,",",Tmp3,")") + PD<- Spacecurve(Tmp,Trgstr,paste("N=",as.character(Np[1]))) + PL<- c(PL,list(PD)) + } + return(PL) +} + +################################### + +Skeletonparadata<- function(...){ + varargin<-list(...) + Nargs<- length(varargin) + Out<- list() + ObjL<- Flattenlist(varargin[[1]]) + Plt3L<- Flattenlist(varargin[[2]]) + R<- 0.075*1000/2.54/MilliIn + if(Nargs>2){ + R<- R*varargin[[3]] + } + Eps2<- 0.05 + if(Nargs>3){ + Eps2<- varargin[[4]] + } + Obj2L<- list() + for (I in Looprange(1,Mixlength(ObjL))){ + Tmp<- ProjcoordCurve(Op(I,ObjL)) + Obj2L<- c(Obj2L,list(Tmp)) + } + Plt2L<- list() + for (I in Looprange(1,Mixlength(Plt3L))){ + Tmp<- ProjcoordCurve(Op(I,Plt3L)) + Plt2L<- c(Plt2L,list(Tmp)) + } + Out<- Makeskeletondata(Obj2L,Plt2L,R,Eps2) + return(Out) +} + +################################ + +Skeletonpara3data<- function(...){ + varargin<-list(...) + Nargs<- length(varargin) + ObjL<- Flattenlist(varargin[[1]]) + Plt3L<- Flattenlist(varargin[[2]]) + R<- 0.075*1000/2.54/MilliIn + if(Nargs>2){ + R=R*varargin[[3]] + } + Eps2<- 0.05 + if(Nargs>3){ + Eps2<- varargin[[4]] + } + Plt2L<- list() + for (I in Looprange(1,Mixlength(Plt3L))){ + Tmp<- ProjcoordCurve(Op(I,Plt3L)) + Plt2L<- c(Plt2L,list(Tmp)) + } + Out<- list() + for (I in Looprange(1,Mixlength(ObjL))){ + Obj3<- Op(I,ObjL) + Tmp<- ProjcoordCurve(Obj3) + Data<- Makeskeletondata(list(Tmp),Plt2L,R,Eps2) + for (J in Looprange(1,Mixlength(Data))){ + Gd<- Op(J,Data) + PtD<- c() + for (J in Looprange(1,Nrow(Gd))){ + Tmp<- Ptcrv(J,Gd) + Tmp1<- Invparapt(Tmp,Obj3) + Tmp1<- Op(1,Tmp1) + PtD<- c(PtD,Tmp1) + } + PtD<- matrix(PtD,ncol=3,byrow=TRUE) + Out<- c(Out,list(PtD)) + } + } + return(Out) +} + +################################# + +#100815 +Skeletonpersdata<- function(...){ + varargin<-list(...) + Nargs<- length(varargin) + Out<- list() + ObjL<- Flattenlist(varargin[[1]]) + Plt3L<- Flattenlist(varargin[[2]]) + R<- 0.075*1000/2.54/MilliIn + if(Nargs>2){ + R<- R*varargin[[3]] + } + Eps2<- 0.05 + if(Nargs>3){ + Eps2<- varargin[[4]] + } + Obj2L<- list() + for (I in Looprange(1,Mixlength(ObjL))){ + Tmp<- CameracoordCurve(Op(I,ObjL)) + Obj2L<- c(Obj2L,list(Tmp)) + } + Plt2L<- list() + for (I in Looprange(1,Mixlength(Plt3L))){ + Tmp<- CameracoordCurve(Op(I,Plt3L)) + Plt2L<- c(Plt2L,list(Tmp)) + } + Out<- Makeskeletonpersdata(Obj2L,Plt2L,R,Eps2) + return(Out) +} + +##################### +#100815 +Skeletonpers3data<- function(...){ + varargin<-list(...) + Nargs<- length(varargin) + Out<- list() + ObjL<- Flattenlist(varargin[[1]]) + Plt3L<- Flattenlist(varargin[[2]]) + R<- 0.075*1000/2.54/MilliIn + if(Nargs>2){ + R<- R*varargin[[3]] + } + Eps2<- 0.05 + if(Nargs>3){ + Eps2<- varargin[[4]] + } + Plt2L<- list() + for (I in Looprange(1,Mixlength(Plt3L))){ + Tmp<- CameracoordCurve(Op(I,Plt3L)) + Plt2L<- c(Plt2L,list(Tmp)) + } + Out<- list() + for (I in Looprange(1,Mixlength(ObjL))){ + Obj3<- Op(I,ObjL) + Tmp<- CameracoordCurve(Obj3) + Data<- Makeskeletonpersdata(list(Tmp),Plt2L,R,Eps2) + for (J in Looprange(1,Mixlength(Data))){ + Gd<- Op(J,Data) + PtD<- c() + for (J in Looprange(1,Nrow(Gd))){ + Tmp<- Gd[J,] + Tmp1<- Invperspt(Tmp,Obj3) + Tmp1<- Op(1,Tmp1) + PtD<- rbind(PtD,Tmp1) + } + Out<- c(Out,list(PtD)) + } + } + return(Out) +} + +################################# + +Spacecurve<- function(...){ + Eps<- 10^(-5) + varargin<-list(...) + Nargs<- length(varargin) + Fnstr<- varargin[[1]] + Rgstr<- varargin[[2]] + Range<- c(0,2*pi) + N<- 50 #Numpoints + E<- c() #Exclusions + D<- Inf #Discont (Changed) + for(I in Looprange(3,Nargs)){ + Tmp<- varargin[[I]] + StrV<- strsplit(Tmp,"=",fixed=TRUE) + StrV<- StrV[[1]] + Tmp1<- toupper(StrV[1]) + Lhs<- substr(Tmp1,1,1) + Str<- paste(Lhs,"=",StrV[2],sep="") + eval(parse(text=Str)) + } + StrV<- strsplit(Rgstr,"=",fixed=TRUE) + StrV<- StrV[[1]] + if(length(StrV)>1){ + Vname<- StrV[1] + Rng<- eval(parse(text=StrV[2])) + } + else{ + Vname<- Rgstr + Rng<- c(XMIN,XMAX) + } + T1<- Rng[1]; T2<- Rng[2] + Dt<- (T2-T1)/N #17.09.22 + Str<- gsub(Vname,"t",Fnstr) + Str=gsub("[","c(",Str,fixed=TRUE) #17.12.22(2lines) + Str=gsub("]",")",Str,fixed=TRUE) + if(abs(Dt)<Eps){ # 16.12.13 + t=T1 + P=eval(parse(text=Str)) + return(P) + } + P<- c() +# E<- sort(E,decreasing=FALSE) + E<- c(E,Inf) + E<- sort(E,decreasing=FALSE) + Ke<- 1 + for(jj in 1:(N+1)){ + t=T1+(jj-1)*Dt + Pa<- c() + if(t-E[Ke]< Eps){ + Pa<- eval(parse(text=Str)) + } + if(abs(t-E[Ke])<=Eps){ + if(length(P)>0 && P[Nrow(P),1]!=Inf){ + Pa<- c(Inf,Inf,Inf) + } + } + if(t-E[Ke]>Eps){ + Pa<- eval(parse(text=Str)) + Ke<- Ke+1 + } + if(length(Pa)>0){ + if(Pa[1]==Inf){ + P<- rbind(P,Pa) + }else if(length(P)==0){ + P<- rbind(c(),c(Pa)) + } + else{ + Tmp<- P[Nrow(P),] + if(Tmp[1]==Inf){ + P<- rbind(P,Pa) + } + else if( Norm(Tmp-Pa)<D){ + P<- rbind(P,Pa) + } + else{ + P<- rbind(P,c(Inf,Inf,Inf)) + P<- rbind(P,Pa) + } + } + } + } + rownames(P)<- 1:Nrow(P) # 10.08.16 + return(P) +} + +######################################## + +Spaceline<- function(...){ + varargin<- list(...) + Z<- c() + for(I in 1:length(varargin)){ + Data<- varargin[[I]] + if(Mixtype(Data)==1){ + J<- 1 + while (J<=Ncol(Data)){ + Tmp<- Data[J:(J+2)] + Z<-c(Z,Tmp) + J<- J+3 + } + next + } + if(Mixtype(Data)==3){ + Tmp<- list() + for(I in 1:Mixlength(Data)){ + Tmp<- c(Tmp,Op(I,Data)) + } + Data<- Tmp + } + for(J in 1:Mixlength(Data)){ + Tmp<- Op(J,Data) + Z<- c(Z,Tmp) + } + } + Z<- matrix(Z,ncol=3,byrow=TRUE) + return(Z) +} + +################################# + +Translate3data<- function(...){ + varargin<- list(...) + Nargs<- length(varargin) + Pd3<- varargin[[1]] + Mv<- varargin[[2]] + if(mode(Mv)=="numerice" && length(Mv)==1){ + Mv<- c(varargin[[2]],varargin[[3]],varargin[[4]]) + } + if(Mixtype(Pd3)==1){ + Pd3<- list(Pd3) + } + else if(Mixtype(Pd3)==3){ + Tmp<-list() + for(I in Looprange(1,Mixlength(Pd3))){ + Tmp<- c(Tmp, Op(I,Pd3)) + } + Pd3<- Tmp + } + Out<- list() + for(I in Looprange(1,Mixlength(Pd3))){ + PD<- Op(I,Pd3) + PD<- rbind(c(),PD) + Ans<- c() + for(J in Looprange(1,Nrow(PD))){ + P<- PD[J,] + Tmp<- P+Mv + Ans<- rbind(Ans,Tmp) + } + rownames(Ans)<- 1:Nrow(Ans) + Out<- c(Out,list(Ans)) + } + if(Mixlength(Out)==1){ + Out<- Op(1,Out) + } + return(Out) +} + +############################################### + +Xyzax3data<- function(Xrange,Yrange,Zrange){ + StrV<-strsplit(Xrange,"=",fixed=TRUE) + StrV<- StrV[[1]] + if(length(StrV)>1) StrV<- StrV[2] + Tmp<- eval(parse(text=StrV)) + Px<- c(Tmp[1],0,0) + Qx<- c(Tmp[2],0,0) + StrV<-strsplit(Yrange,"=",fixed=TRUE) + StrV<- StrV[[1]] + if(length(StrV)>1) StrV<- StrV[2] + Tmp<- eval(parse(text=StrV)) + Py<- c(0,Tmp[1],0) + Qy<- c(0,Tmp[2],0) + StrV<-strsplit(Zrange,"=",fixed=TRUE) + StrV<- StrV[[1]] + if(length(StrV)>1) StrV<- StrV[2] + Tmp<- eval(parse(text=StrV)) + Pz<- c(0,0,Tmp[1]) + Qz<- c(0,0,Tmp[2]) + Out<- list(Spaceline(Px,Qx),Spaceline(Py,Qy),Spaceline(Pz,Qz)) + return(Out) +} + +################################### + +Xyzaxparaname<- function(...){ + varargin<- list(...) + Nargs<- length(varargin) + Eps<- 10.0^(-6) + Dr<- 0.19*1000/2.54/MilliIn + Tmp<- varargin[[Nargs]] + if(Nargs>1 && is.numeric(Tmp)){ + Dr<- Dr*Tmp + Nargs<- Nargs-1 + } + if(mode(varargin[[1]])=="character"){ + Xname<- "x" + Yname<- "y" + Zname<- "z" + Xrange<- varargin[[1]] + Yrange<- varargin[[2]] + Zrange<- varargin[[3]] + StrV<-strsplit(Xrange,"=",fixed=TRUE) + StrV<- StrV[[1]] + if(length(StrV)>1){ + Xname<- StrV[1] + StrV<- StrV[2] + } + Tmp<- eval(parse(text=StrV)) + Px<- c(Tmp[1],0,0) + Qx<- c(Tmp[2],0,0) + StrV<-strsplit(Yrange,"=",fixed=TRUE) + StrV<- StrV[[1]] + if(length(StrV)>1){ + Yname<- StrV[1] + StrV<- StrV[2] + } + Tmp<- eval(parse(text=StrV)) + Py<- c(0,Tmp[1],0) + Qy<- c(0,Tmp[2],0) + StrV<-strsplit(Zrange,"=",fixed=TRUE) + StrV<- StrV[[1]] + if(length(StrV)>1){ + Zname<- StrV[1] + StrV<- StrV[2] + } + Tmp<- eval(parse(text=StrV)) + Pz<- c(0,0,Tmp[1]) + Qz<- c(0,0,Tmp[2]) + }else{ + Data<- varargin[[1]] + Xname<- "x"; Yname<- "y"; Zname<- "z" + if(Nargs>1){ + if(varargin[[2]]!=""){ + Xname<- varargin[[2]] + } + if(varargin[[3]]!=""){ + Yname<- varargin[[3]] + } + if(varargin[[4]]!=""){ + Zname<- varargin[[4]] + } + } + Tmp<- Op(1,Data) + Px<- Tmp[1,]; Qx<- Tmp[2,] + Tmp<- Op(2,Data) + Py<- Tmp[1,] + Qy<- Tmp[2,] + Tmp<- Op(3,Data) + Pz<- Tmp[1,] + Qz<- Tmp[2,] + } + Ph<- Parapt(Px); Qh<- Parapt(Qx); R<-Norm(Ph-Qh) + Kekka<- list() + if(R>Eps){ + Ch<- Qh+Dr/R*(Qh-Ph) + Kekka<- c(Kekka,list(Pointdata(Ch))) + Expr(Ch,"c",Xname) + } + Ph<- Parapt(Py); Qh<- Parapt(Qy); R<- Norm(Ph-Qh) + if(R>Eps){ + Ch<- Qh+Dr/R*(Qh-Ph) + Kekka<- c(Kekka,list(Pointdata(Ch))) + Expr(Ch,"c",Yname) + } + Ph<- Parapt(Pz); Qh<- Parapt(Qz); R<- Norm(Ph-Qh) + if(R>Eps){ + Ch<- Qh+Dr/R*(Qh-Ph) + Kekka<- c(Kekka,list(Pointdata(Ch))) + Expr(Ch,"c",Zname) + } +# return(Kekka) +} + +################################### + +Xyzaxpersname<- function(...){ + varargin<- list(...) + Eps<- 10.0^(-6) + Nargs<- length(varargin) + Dr<- 0.19*1000/2.54/MilliIn + Tmp<- varargin[[Nargs]] + if(Nargs>1 && mode(Tmp)=="numeric"){ + Dr<- Dr*Tmp + Nargs<- Nargs-1 + } + if(mode(varargin[[1]])=="character"){ + Xname<- "x" + Yname<- "y" + Zname<- "z" + Xrange<- varargin[[1]] + Yrange<- varargin[[2]] + Zrange<- varargin[[3]] + StrV<-strsplit(Xrange,"=",fixed=TRUE) + StrV<- StrV[[1]] + if(length(StrV)>1){ + Xname<- StrV[1] + StrV<- StrV[2] + } + Tmp<- eval(parse(text=StrV)) + Px<- c(Tmp[1],0,0) + Qx<- c(Tmp[2],0,0) + StrV<-strsplit(Yrange,"=",fixed=TRUE) + StrV<- StrV[[1]] + if(length(StrV)>1){ + Yname<- StrV[1] + StrV<- StrV[2] + } + Tmp<- eval(parse(text=StrV)) + Py<- c(0,Tmp[1],0) + Qy<- c(0,Tmp[2],0) + StrV<-strsplit(Zrange,"=",fixed=TRUE) + StrV<- StrV[[1]] + if(length(StrV)>1){ + Zname<- StrV[1] + StrV<- StrV[2] + } + Tmp<- eval(parse(text=StrV)) + Pz<- c(0,0,Tmp[1]) + Qz<- c(0,0,Tmp[2]) + }else{ + Data<- varargin[[1]] + Xname<- "x"; Yname<- "y"; Zname<- "z" + if(Nargs>1){ + if(varargin[[2]]!=""){ + Xname<- varargin[[2]] + } + if(varargin[[3]]!=""){ + Yname<- varargin[[3]] + } + if(varargin[[4]]!=""){ + Zname<- varargin[[4]] + } + } + Tmp<- Op(1,Data) + Px<- Tmp[1,]; Qx<- Tmp[2,] + Tmp<- Op(2,Data) + Py<- Tmp[1,] + Qy<- Tmp[2,] + Tmp<- Op(3,Data) + Pz<- Tmp[1,] + Qz<- Tmp[2,] + } + Ph<- Perspt(Px) + Qh<- Perspt(Qx) + R<- Norm(Ph-Qh) + Kekka<- list() + if(R>Eps){ + Ch<- Qh+Dr/R*(Qh-Ph) + Kekka<- c(Kekka,list(Pointdata(Ch))) + Expr(Ch,"c",Xname) + } + Ph<- Perspt(Py) + Qh<- Perspt(Qy) + R<- Norm(Ph-Qh) + if(R>Eps){ + Ch<- Qh+Dr/R*(Qh-Ph) + Kekka<- c(Kekka,list(Pointdata(Ch))) + Expr(Ch,"c",Yname) + } + Ph<- Perspt(Pz) + Qh<- Perspt(Qz) + R<- Norm(Ph-Qh) + if(R>Eps){ + Ch<- Qh+Dr/R*(Qh-Ph) + Kekka<- c(Kekka,list(Pointdata(Ch))) + Expr(Ch,"c",Zname) + } +# return(Kekka) +} + +######################### +#100815 +Zparapt<- function(P){#function Out=Zparapt(P) + x<- P[1]; y<- P[2]; z<- P[3] + Out<- x*cos(PHI)*sin(THETA)+y*sin(PHI)*sin(THETA)+z*cos(THETA) + return(Out) +} + +######################### +#100815 +Zperspt<- function(P){ + Tmp<- P-FocusPoint + X1<- Tmp[1]; Y1<- Tmp[2]; Z1<- Tmp[3] + Tmp<- EyePoint-FocusPoint + E1<- Tmp[1]; F1<- Tmp[2]; G1<- Tmp[3] + Ca<- E1/sqrt(E1^2+F1^2) + Sa<- F1/sqrt(E1^2+F1^2) + X2<- X1*Ca+Y1*Sa; Y2<- -X1*Sa+Y1*Ca; Z2<- Z1 + E2<- E1*Ca+F1*Sa; F2<- -E1*Sa+F1*Ca; G2<- G1 + Cb<- E2/sqrt(E2^2+G2^2) + Sb<- G2/sqrt(E2^2+G2^2) + X3<- X2*Cb+Z2*Sb + return(X3) +} + +########################################## + + + +########################################## + +# Stat Package + +########################################## + +# 2010.04.12 + +# new + +# Htickmarklower, Vtickmarkleft, HtickmarklowerV +# VtickmarkleftV, Insertcom, Replacecom +# Maketexfile, Formatting +# Drwhistframe, Histplotdata, Drwhistplot + +Htickmarklower<- function(...) +{ ## Scaling is implemented + varargin<- list(...) + Nargs<- length(varargin) + ArgsL<- varargin + if(mode(ArgsL[[1]])=="character"){ + Str<- ArgsL[[1]] + Tmp<- strsplit(Str,"m") + Tmp<- Tmp[[1]] + if(length(Tmp)>1){ + I<- nchar(Tmp[1])+1 + } + else{ + I<- 0 + } + Tmp<- strsplit(Str,"n") + Tmp<- Tmp[[1]] + if(length(Tmp)>1){ + J<- nchar(Tmp[1])+1 + } + else{ + J<- 0 + } + Tmp<- strsplit(Str,"r") + Tmp<- Tmp[[1]] + if(length(Tmp)>1){ + K=nchar(Tmp[1])+1 + } + else{ + K<- 0 + } + if(K>0){ + S<- substr(Str,K+1,nchar(Str)) + R<- as.numeric(S) + if(is.na(R)){ + R<- 1 + } + } + else{ + R<- 1 + K<- nchar(Str)+1 + } + if(J>0){ + S<- substr(Str,J+1,K-1) + Dn<- as.numeric(S) + if(is.na(Dn)){ + Dn<- 1 + } + } + else{ + Dn<- 1000 + J<- nchar(Str)+1 + } + S<- substr(Str,I+1,J-1) + Dm<- as.numeric(S) + if(is.na(Dm)){ + Dm<- 1 + } + ArgsL<- list() + for (I in Looprange(1, floor((XMAX-GENTEN[1])/Dm))){ + ArgsL<- Mixjoin(ArgsL,I*Dm) + if(I-floor(I/Dn)*Dn==0){ + Str<- as.character(I*Dm*R) + ArgsL<- Mixjoin(ArgsL,Str) + } + } + for (I in seq(-1,ceiling((XMIN-GENTEN[1])/Dm),by=-1)){ + ArgsL<- Mixjoin(ArgsL,I*Dm) + if(I-floor(I/Dn)*Dn==0){ + Str<- as.character(I*Dm*R) + ArgsL<- Mixjoin(ArgsL,Str) + } + } + } + MemoriList<- list() + Memori<- list() + for (N in 1:length(ArgsL)){ + Dt<- ArgsL[[N]] + if(mode(Dt)=="numeric" && length(Dt)>1){ + if(length(Memori)>0){ + MemoriList<- Mixjoin(MemoriList,list(Memori)) + } + Memori<- list(Dt) + next + } + if(mode(Dt)=="character"){ + Memori<- Mixjoin(Memori,Dt) + } + else{ + if(length(Memori)>0){ + MemoriList<- Mixjoin(MemoriList,list(Memori)) + } + Memori<- list(Dt,GENTEN[2]) + } + } + MemoriList<- Mixjoin(MemoriList,list(Memori)) + for (N in 1:length(MemoriList)){ + Dt<- MemoriList[[N]] + Ndt<- length(Dt) + X=Op(1,Dt) + Y=Op(2,Dt) + Tmp<-Doscaling(c(X,Y)) + X<- Tmp[1] + Y<- Tmp[2] + Moji<- Op(Ndt,Dt) + Tmp1<- Unscaling(c(X,Y)) + Tmp2<- Unscaling(c(X,Y-2*MARKLEN)) + Fd<- Listplot(c(Tmp1,Tmp2)) + Drwline(Fd) + if(Ndt==3){ + Tmp<-Unscaling(c(X,Y-2*MARKLEN)) + Expr(Tmp,"s",Moji) + } + if(Ndt==4){ + Houkou<- Op(3,Dt) + Tmp<-grep("s",Houkou) + if(length(Tmp)>0){ + Tmp<-Unscaling(c(X,Y-2*MARKLEN)) + Expr(Tmp,Houkou,Moji) + } + else{ + Tmp<- Unscaling(c(X,Y)) + Expr(Tmp,Houkou,Moji) + } + } + cat("%\n",file=Wfile,append=TRUE) + } +} + +Vtickmarkleft<- function(...) +{ ## Scaling is implemented + varargin<- list(...) + Nargs<- length(varargin) + ArgsL<- varargin + if(mode(ArgsL[[1]])=="character"){ + Str<- ArgsL[[1]] + Tmp<- strsplit(Str,"m") + Tmp<- Tmp[[1]] + if(length(Tmp)>1){ + I<- nchar(Tmp[1])+1 + } + else{ + I<- 0 + } + Tmp<- strsplit(Str,"n") + Tmp<- Tmp[[1]] + if(length(Tmp)>1){ + J<- nchar(Tmp[1])+1 + } + else{ + J<- 0 + } + Tmp<- strsplit(Str,"r") + Tmp<- Tmp[[1]] + if(length(Tmp)>1){ + K=nchar(Tmp[1])+1 + } + else{ + K<- 0 + } + if(K>0){ + S<- substr(Str,K+1,nchar(Str)) + R<- as.numeric(S) + if(is.na(R)){ + R<- 1 + } + } + else{ + R<- 1 + K<- nchar(Str)+1 + } + if(J>0){ + S<- substr(Str,J+1,K-1) + Dn<- as.numeric(S) + if(is.na(Dn)){ + Dn<- 1 + } + } + else{ + Dn<- 1000 + J<- nchar(Str)+1 + } + S<- substr(Str,I+1,J-1) + Dm<- as.numeric(S) + if(is.na(Dm)){ + Dm<- 1 + } + ArgsL<- list() + for (I in 1:floor((YMAX-GENTEN[2])/Dm)){ + ArgsL<- Mixjoin(ArgsL,I*Dm) + if(I-floor(I/Dn)*Dn==0){ + Str<- as.character(I*Dm*R) + ArgsL<- Mixjoin(ArgsL,Str) + } + } + for (I in seq(-1,ceiling((YMIN-GENTEN[2])/Dm))){ + ArgsL<- Mixjoin(ArgsL,I*Dm) + if(I-floor(I/Dn)*Dn==0){ + Str<- as.character(I*Dm*R) + ArgsL<- Mixjoin(ArgsL,Str) + } + } + } + MemoriList<- list() + Memori<- list() + for (N in 1:length(ArgsL)){ + Dt<- ArgsL[[N]] + if(mode(Dt)=="numeric" && length(Dt)>1){ + if(length(Memori)>0){ + MemoriList<- Mixjoin(MemoriList,list(Memori)) + } + Memori<- list(Dt) + next + } + if(mode(Dt)=="character"){ + Memori<- Mixjoin(Memori,Dt) + } + else{ + if(length(Memori)>0){ + MemoriList<- Mixjoin(MemoriList,list(Memori)) + } + Memori<- list(GENTEN[1],Dt) + } + } + MemoriList<- Mixjoin(MemoriList,list(Memori)) + for (N in 1:length(MemoriList)){ + Dt<- MemoriList[[N]] + Ndt<- length(Dt) + X=Op(1,Dt) + Y=Op(2,Dt) + Tmp<-Doscaling(c(X,Y)) + X<- Tmp[1] + Y<- Tmp[2] + Moji<- Op(Ndt,Dt) + Tmp1<- Unscaling(c(X,Y)) + Tmp2<- Unscaling(c(X-2*MARKLEN,Y)) + Fd<- Listplot(c(Tmp1,Tmp2)) + Drwline(Fd) + if(Ndt==3){ + Tmp<-Unscaling(c(X-2*MARKLEN,Y)) + Expr(Tmp,"w",Moji) + } + if(Ndt==4){ + Houkou<- Op(3,Dt) + Tmp<-grep("w",Houkou) + if(length(Tmp)>0){ + Tmp<-Unscaling(c(X-2*MARKLEN,Y)) + Expr(Tmp,Houkou,Moji) + } + else{ + Tmp<- Unscaling(c(X,Y)) + Expr(Tmp,Houkou,Moji) + } + } + cat("%\n",file=Wfile,append=TRUE) + } +} + +HtickmarklowerV<- function(Vec,digits=2,nsmall=2) +{ + for (I in 1:length(Vec)){ + Tmp<- Vec[I] + Htickmarklower(Tmp, Formatting(Tmp,digits,nsmall)) + } +} + +HtickLV<- function(...) +{ + HtickmarklowerV(...) +} + +VtickmarkleftV<- function(Vec,digits=2,nsmall=2) +{ + for (I in 1:length(Vec)){ + Tmp<- Vec[I] + Vtickmarkleft(Tmp, Formatting(Tmp,digits,nsmall)) + } +} + +VtickLV<- function(...) +{ + VtickmarkleftV(...) +} + +Insertcom<- function(CmdM,Npos,Str) +{ + if(is.matrix(CmdM)){ + Cmd<- CmdM + } + else{ + C<- paste("Cmd<- ",CmdM) + eval(parse(text=C)) + } + Out<- Cmd[Looprange(1,Npos-1),] + Out<- c(Out,Str) + Tmp<- Cmd[Looprange(Npos,nrow(Cmd)),] + Out<- c(Out,Tmp) + Out<- matrix(Out) + if(!is.matrix(CmdM)){ + C<- paste(CmdM,"<<- Out") + eval(parse(text=C)) + } + return(Out) +} + +Replacecom<- function(CmdM,Npos,Str) +{ + if(is.matrix(CmdM)){ + Cmd<- CmdM + } + else{ + C<- paste("Cmd<- ",CmdM) + eval(parse(text=C)) + } + Out<- Cmd[Looprange(1,Npos-1),] + Out<- c(Out,Str) + Tmp<- Cmd[Looprange(Npos+1,nrow(Cmd)),] + Out<- c(Out,Tmp) + Out<- matrix(Out) + if(!is.matrix(CmdM)){ + C<- paste(CmdM,"<<- Out") + eval(parse(text=C)) + } + return(Out) +} + +Deletecom<- function(CmdM,Npos) +{ + if(is.matrix(CmdM)){ + Cmd<- CmdM + } + else{ + C<- paste("Cmd<- ",CmdM) + eval(parse(text=C)) + } + Out<- Cmd[Looprange(1,Npos-1),] + Tmp<- Cmd[Looprange(Npos+1,nrow(Cmd)),] + Out<- c(Out,Tmp) + Out<- matrix(Out) + if(!is.matrix(CmdM)){ + C<- paste(CmdM,"<<- Out") + eval(parse(text=C)) + } + return(Out) +} + +Maketexfile<- function(commands="",texfile="") +{ + Openfile(texfile) + Execmd(commands) + Closefile() +} + +Formatting<- function(X,D=2,N=2) +{ + if(D>0){ + Xs <- format(X,digits=D,nsmall=N) + } + else{ + Xs<- as.character(X) + } + return(Xs) +} + +################################ + +Boxplotdata1 <-function(DataF1,CenterX,Width,...) +{ + Xr <- Width + Temp <- boxplot(DataF1[1],plot=FALSE) + Stats <- Temp$stats + rownames(Stats) <- c("Lhige","Q1","Q2","Q3","Uhige") + Out <- Temp$out + Lhige <- Stats["Lhige",1] + Uhige <- Stats["Uhige",1] + Q1 <- Stats["Q1",1] + Q2 <- Stats["Q2",1] + Q3 <- Stats["Q3",1] + CenterY <- (Q1+Q3)/2 + C <- c(CenterX,CenterY) + V <- c(0,(Q3-Q1)/2) + G1 <- Framedata(C,Xr/2,V[2]) # box + Temp1 <- c(0,Q1-Lhige) + Temp2 <- c(0,Uhige-Q3) + G2 <- Listplot(C-V,C-V-Temp1) # + G3 <- Listplot(C+V,C+V+Temp2) # + Temp3 <- c(Xr/4,0) + G4 <- Listplot(C-V-Temp1-Temp3,C-V-Temp1+Temp3) # + G5 <- Listplot(C+V+Temp2-Temp3,C+V+Temp2+Temp3) # + Temp4 <- c(0,Q3-Q2) + Temp5 <- c(Xr/2,0) + G6 <- Listplot(C+V-Temp4-Temp5,C+V-Temp4+Temp5) # + G7 <- list() + for(j in Looprange(1,length(Out))){ + G7 <- c(G7,list(c(CenterX, Out[j]))) + } + G7 <- G7[order(Out,decreasing=TRUE)] + list(median=G6,box=G1,uwhisker=G2,lwhisker=G3,lwp=G4,uwp=G5,outliers=G7) +} + +Boxplotdata2 <- function(Data,Ratio, ...) +{ + DataF<- Flattenlist(Data) # 11.07.21(from) + ymin<- Inf + ymax<- -Inf + for(J in 1:length(DataF)){ + Tmp<- DataF[[J]] + ymin<- min(ymin, min(Tmp)) + ymax<- max(ymax,max(Tmp)) + } # 11.07.21(upto) + dy <- ymax-ymin + Setwindow(c(0,XMAX-XMIN),c(ymin-0.1*dy,ymax+0.1*dy)) + R1<- (YMAX-YMIN)/(XMAX-XMIN) + R<- Ratio/R1 + Setscaling(R) + Delta <- XMAX/length(DataF) + W <- 0.6*Delta + PdL <- list() + for(i in 1:length(DataF)){ # 11.07.21 + X <- (0.5+i-1)*Delta + G <- Boxplotdata1(DataF[i],X,W,...) + PdL <- c(PdL,list(G)) + } + G <- Framedata() + Tmp<- list(frame=G) + PdL <-c(PdL,list(Tmp)) + Epsi <-0 + Setwindow(c(XMIN-Epsi,XMAX+Epsi),c(YMIN-Epsi,YMAX+Epsi)) + return(PdL) +} + +Drwboxframe<-function(BoxDataL) +{ + Setorigin(c(XMIN,YMIN)) + Tmp<- Unscaling(c(0.2,0.2)) + Setwindow(c(XMIN-0.2,XMAX),c(YMIN-Tmp[2],YMAX)) + Hako<- BoxDataL$plotdata + title<- BoxDataL$title + cap<- BoxDataL$cap + ylab<- BoxDataL$ylab + if(mode(title)!="list") title<- list(title) + if(mode(cap)!="list") cap<- list(cap) + if(mode(ylab)!="list") ylab<- list(ylab) + if(length(title)==0) title<- list("") + if(length(title)==1) title<- c(title, list("n")) + if(length(title)==2) title<- c(title, list("")) + if(length(cap)==0) cap<- list("") + if(length(cap)==1) cap<- c(cap, list("n"),0) # 11.11.27 + if(length(cap)==2) cap<- c(cap, 0) # 11.11.27 + if(length(ylab)==0) ylab<- list("") + if(length(ylab)==1) ylab <- c(ylab, list("n")) + if(length(ylab)==2) ylab<- c(ylab, list("")) + Temp <- Hako[[length(Hako)]] + Drwline(Temp$frame) + Fontsize(cap[[2]]) + for(i in Looprange(1,length(Hako)-1)){ + Temp <- Hako[[i]] + attach(Temp) + Dashline(uwhisker,lwhisker) + Drwline(median,2) + Drwline(box,lwp,uwp) + Drwpt(outliers,0) + X <- uwhisker[1,1] + detach(Temp) + Htickmarklower(X) + if(nchar(cap[[1]])<1) next # 2011.03.08 + if(length(cap)==2 || cap[[3]]==0){ + pos<- 1 + if(length(cap)>=4) pos<- cap[[4]] + Tmp<- paste("s",as.character(pos),sep="") + Letter(c(X,YMIN),Tmp, Op(i,cap[[1]])) + } + else{ + rotate<- cap[[3]] + if(length(cap)==3){ + pos<- 0 + } + else{ + pos<- cap[[4]] + } + Temp1 <- rotate*pi/180 + Temp <- c(cos(Temp1),sin(Temp1)) + Letterrot(c(X,YMIN-pos),Temp,Op(i,cap[[1]])) + } + } + if(nchar(ylab[[1]])>0){ + Fontsize(ylab[[2]]) + Tmp1<- ylab[[1]] + Tmp3<- ylab[[3]] + if(nchar(Tmp3)>0){ + Tmp1<- paste("{\\",Tmp3," ",Tmp1,"}",sep="") + } + Letter(c(XMIN, YMAX),"n2",Tmp1) + Fontsize("n") + } + if(nchar(title[[1]])>0){ + Fontsize(title[[2]]) + Tmp1<- title[[1]] + Tmp3<- title[[3]] + if(nchar(Tmp3)>0){ + Tmp1<- paste("{\\",Tmp3," ",Tmp1,"}",sep="") + } + Letter(c((XMIN+XMAX)/2,YMAX),"n2",Tmp1) + } + Fontsize("n") +} + +Drwboxplot<- function(dataf,var,size, + title=list(""), cap=list(colnames(dataf)), + ylab=list(""), ptsize=5,plot=TRUE,...) + #Return : title,cap,ylab,commands,plotdata,info +{ + Tmp <- boxplot(dataf, plot=FALSE, ...) + Stats <- Tmp$stats + DataF<- Flattenlist(dataf) # 11.07.21(from) + ymin<- Inf + ymax<- -Inf + for(J in 1:length(DataF)){ + Tmp<- DataF[[J]] + ymin<- min(ymin, min(Tmp)) + ymax<- max(ymax,max(Tmp)) + } # 11.07.21(upto) + Hako<- Boxplotdata2(dataf, size[2]/size[1], ...) + if(plot){ + Windisp(Hako) + } + Tmp<- Formatting(size[1]/(XMAX-XMIN),5,5) + unit<- paste(Tmp,"cm",sep="") + Setunitlen(unit) + Exstr<- c( + "","", + paste("Beginpicture(","'",unit,"')",sep=""), + paste("Setpt(",as.character(ptsize),")",sep=""), + "","", + paste("Drwboxframe(",var,")",sep=""), + paste("VtickLV(c(",as.character(ymin),",", as.character(ymax),"),0,0)",sep=""), + "","","","", + "Setpt(1)", + "Endpicture(0)" + ) + Exstr<- matrix(Exstr) + Xpos<- c() + for(i in Looprange(1,length(Hako)-1)){ + Temp <- Hako[[i]] + Temp1 <- Temp[[5]] + Xpos <- c(Xpos,Temp1[1,1]) + } + Info<- list(stats=Stats,window=matrix(c(XMIN,XMAX,YMIN,YMAX),nrow=2),xpos=Xpos) + Tmp<- paste(var,"<<- ", + "list(title=title,cap=cap,ylab=ylab,", + "commands=Exstr,plotdata=Hako,info=Info)",sep="") + eval(parse(text=Tmp)) +} + + +########################################### + +Histplotdata <- function(DataV,Ratio,freq=TRUE,densplot=FALSE,...) +# 10.12.07 freq +{ + Temp <- hist(DataV,plot=FALSE,...) + Breaks <- Temp$breaks + Counts <- Temp$counts + Density <- Temp$density + Mids <- Temp$mids + if(!freq){ + Data<- Density + } + else{ + Data<- Counts + } + Ghist <- list() + for(i in Looprange(1,length(Breaks)-1)){ + Tmp1 <- c(Breaks[i],Breaks[i+1]) + Tmp2 <- c(0,Data[i]) + G1 <- Framedata(Tmp1,Tmp2) #bar + Ghist <- c(Ghist,list(G1)) + } + Bin <- Breaks[2]-Breaks[1] + Eps <- 0.7*Bin # 0.7 times Bin + Temp1 <- c(min(Breaks)-Eps,max(Breaks)+Eps) # Put Eps at both sides + Temp2 <- c(0,max(Data)*1.02) + Setwindow(Temp1,Temp2) + Setorigin(c(Temp1[1],0)) + R1<- (YMAX-YMIN)/(XMAX-XMIN) + R<- Ratio/R1 + Setscaling(R) + VEps <- 0.05*(XMAX-XMIN)/5 + Temp1<- Temp1-c(VEps,0) + Temp2<- Temp2-1/R*c(VEps,0) + Setwindow(Temp1,Temp2) + Fpt <- c(Mids[1]-Bin,0) + Lpt <- c(Mids[length(Mids)]+Bin,0) + Fp <- matrix(Fpt,nrow=1) + for(i in Looprange(1,length(Mids))){ + Tmp <- c(Mids[i],Data[i]) + Fp <- rbind(Fp,Tmp) + } + Fp <- rbind(Fp,Lpt) + rownames(Fp)<- c(1:nrow(Fp)) + if(densplot){ + Temp <- density(DataV) + X <- matrix(Temp$x) + Y <- matrix(Temp$y) + Gdens <- cbind(X,Y) + } + else{ + Gdens <- list() + } + list(plotdata=list(histplot=Ghist,fpplot=list(Fp),densityplot=list(Gdens)), + breaks=Breaks,counts=Counts,density=Density,mids=Mids) +} + +Drwhistframe<-function(HistDataL) +{ + title<- HistDataL$title + xlab<- HistDataL$xlab + ylab<- HistDataL$ylab + if(mode(title)!="list") title<- list(title) + if(mode(xlab)!="list") cap<- list(xlab) + if(mode(ylab)!="list") cap<- list(ylab) + if(length(title)==0) title<- list("") + if(length(title)==1) title<- c(title, list("n")) + if(length(title)==2) title<- c(title, list("")) + if(length(xlab)==0) xlab<- list("") + if(length(xlab)==1) xlab<- c(xlab, list("n")) + if(length(xlab)==2) xlab<- c(xlab, list("")) + if(length(xlab)==3) xlab<- c(xlab, list(8)) + if(length(ylab)==0) ylab<- list("") + if(length(ylab)==1) ylab<- c(ylab, list("n")) + if(length(ylab)==2) ylab<- c(ylab, list("")) + if(nchar(title[[1]])>0){ + Fontsize(title[[2]]) + Tmp1<- title[[1]] + Tmp3<- title[[3]] + if(nchar(Tmp3)>0){ + Tmp1<- paste("{\\",Tmp3," ",Tmp1,"}",sep="") + } + Letter(c((XMIN+XMAX)/2,YMAX),"n2",Tmp1) + Fontsize("n") + } + if(nchar(xlab[[1]])>0){ + Fontsize(xlab[[2]]) + Tmp1<- xlab[[1]] + Tmp3<- xlab[[3]] + if(nchar(Tmp3)>0){ + Tmp1<- paste("{\\",Tmp3," ",Tmp1,"}",sep="") + } + Tmp4<- paste("s",as.character(xlab[[4]]),sep="") + Letter(c((XMIN+XMAX)/2,YMIN),Tmp4,Tmp1) + Fontsize("n") + } + if(nchar(ylab[[1]])>0){ + Fontsize(ylab[[2]]) + Tmp1<- ylab[[1]] + Tmp3<- ylab[[3]] + if(nchar(Tmp3)>0){ + Tmp1<- paste("{\\",Tmp3," ",Tmp1,"}",sep="") + } + Tmp<- Setorigin() + Letter(c(Tmp[1], YMAX),"n2",Tmp1) + Fontsize("n") + } + + Setax(2," ") + Setax(4," ") + Setax(6," ") +} + +Drwhistplot<- function(datav,var,size,freq=TRUE, + title=list(""), xlab=list(""), ylab=list(""), + plot=TRUE,densplot=FALSE,fpplot=TRUE,...) + #Output : title,xlab,ylab,commands,plotdata,info +{ + H <- Histplotdata(datav, size[2]/size[1], freq=freq,densplot=densplot,...) + Pd<- H$plotdata + Ghist <- list(histplot=Pd$histplot,densityplot=Pd$densityplot) # 10.12.07 + if(fpplot){ + Ghist<- c(Ghist,list(fpplot=Pd$fpplot)) + } + if(plot){ + Windisp(Ghist) + } + Tmp<- Formatting(size[1]/(XMAX-XMIN),5,5) + unit<- paste(Tmp,"cm",sep="") + Setunitlen(unit) + Infostr<- paste(var,"$info",sep="") + Brkstr<- paste(Infostr,"$breaks",sep="") + Midstr<- paste(Infostr,"$mids",sep="") + if(!freq){ + Digits<- ",2,2" + Denstr<- paste(Infostr,"$density",sep="") + } + else{ + Digits<- ",0,0" + Denstr<- paste(Infostr,"$counts",sep="") + } + + if(fpplot) Prefp<- "" else Prefp<- "#" + Exstr<- c( + "","", + paste("Beginpicture(","'",unit,"')",sep=""), + "","", + paste("Drwhistframe(",var,")",sep=""), + paste("HtickLV(",Midstr,",1,1)",sep=""), + paste("VtickLV(max(",Denstr,")",Digits,")",sep=""), + paste("Drwline(",var,"[['plotdata']]","$histplot)",sep=""), + paste(Prefp,"Dashline(",var,"[['plotdata']]","$fpplot)",sep=""), + paste("#Drwline(",var,"[['plotdata']]","$densityplot,2)",sep=""), + "","","","", + "Endpicture(1)" + ) + Exstr<- matrix(Exstr) + Info<- list(breaks=H$breaks,counts=H$counts,density=H$density,mids=H$mids, + window=matrix(c(XMIN,XMAX,YMIN,YMAX),nrow=2)) + Tmp<- paste(var,"<<- ", + "list(title=title,xlab=xlab,ylab=ylab,", + "commands=Exstr,plotdata=Ghist,info=Info)",sep="") + eval(parse(text=Tmp)) +} + +########################## +#17.09.30 + +Bezierpt<- function(t,Ptlist,Ctrlist){ + if(length(Ptlist)==6){ + P0=Ptlist[1:3] + P3=Ptlist[4:6] + P1=Ctrlist[1:3] + if(length(Ctrlist)==3){ + P2=P3 + flg3=0 + }else{ + P2=Ctrlist[4:6] + flg3=1 + } + }else{ + P0=Ptlist[1:2] + P3=Ptlist[3:4] + P1=Ctrlist[1:2] + if(length(Ctrlist)==2){ + P2=P3 + flg3=0 + }else{ + P2=Ctrlist[3:4] + flg3=1 + } + } + P4=(1-t)*P0+t*P1 + P5=(1-t)*P1+t*P2 + P6=(1-t)*P2+t*P3 + P7=(1-t)*P4+t*P5 + P8=(1-t)*P5+t*P6 + P9=(1-t)*P7+t*P8 + if(flg3==0){ + Out=P7 + }else{ + Out=P9 + } + return(Out) +} + +Bezier<- function(...){ + varargin<- list(...) + Nargs=length(varargin) + Ptlist=varargin[[1]] + Ctrlist=varargin[[2]] + Num=10 + for(J in Looprange(3,Nargs)){ + Tmp=varargin[[J]] + K=strsplit(Tmp,'=',fixe=TRUE) + K=K[[1]] + Tmp1=substring(K[1],1,1) + Lhs=toupper(Tmp1) + if(Lhs=="N"){ + Num=eval(parse(text=K[2])) + } + } + if(length(Num)==1){ + Num=rep(Num,length(Ctrlist)) #17.10.08 + } + Out=c() + for(ii in Looprange(1,length(Ctrlist))){ + Tmp1=c(Ptlist[[ii]],Ptlist[[ii+1]]) + Tmp2=Ctrlist[[ii]] + if(ii==1){ + St=0 + }else{ + St=1 + } + for(J in Looprange(St,Num[ii])){ + Tmp=Bezierpt(J/Num[ii],Tmp1,Tmp2) + Out=Appendrow(Out,Tmp) + } + } + return(Out) +} + +####################### +# 17.10.02 + +Connectseg<- function(...){ + varargin=list(...) + Nargs=length(varargin) + Pdata=varargin[[1]] + Eps=10^(-4) + if(Nargs>=2){ + Eps=varargin[[2]] + } + if(is.matrix(Pdata)){ + Din=Dataindex(Pdata) + tmp1=list() + for(J in 1:nrow(Din)){ + tmp=Pdata[Din[J,1]:Din[J,2],] + tmp1=c(tmp1,list(tmp)) + } + Pdata=tmp1 + } + PlotL=list(Op(1,Pdata)) + VI=Looprange(2,length(Pdata)) + while(length(VI)>0){ + Qd=Op(Length(PlotL),PlotL) + Ah=Op(1,Qd); Ao=Op(Length(Qd),Qd) + Flg=0 + for(J in 1:length(VI)){ + Tmp1=Op(VI[J],Pdata) + P=Op(1,Tmp1); Q=Op(Length(Tmp1),Tmp1) + if(Norm(P-Ao)<Eps){ + Tmp=Tmp1[Looprange(2,Length(Tmp1)),] + if(Length(Tmp)>0){ + Qd=Appendrow(Qd,Tmp) + } + PlotL[[length(PlotL)]]=Qd + VI=VI[-J] + Flg=1 + break + } + if(Norm(Q-Ao)<Eps){ + Tmp=Tmp1[(nrow(Tmp1)-1):1,] + Qd=Appendrow(Qd,Tmp) + PlotL[[length(PlotL)]]=Qd + VI=VI[-J] + Flg=1 + break + } + if(Norm(P-Ah)<Eps){ + Tmp=Tmp1[2:nrow(Tmp1),] + Qd=Appendrow(Tmp,Qd) + PlotL[[length(PlotL)]]=Qd + VI=VI[-J] + Flg=1 + break + } + if(Norm(Q-Ah)<Eps){ + Tmp=Tmp1[(nrow(Tmp1)-1):1,] + Qd=Appendrow(Tmp,Qd) + PlotL[[length(PlotL)]]=Qd + VI=VI[-J] + Flg=1 + break + } + } + if(Flg==0){ + PlotL=c(PlotL,Pdata[VI[1]]) + VI=VI[-1] + } + } + return(PlotL) +} + +Makevaltable<- function(MS){ + Eps=10^(-6) + Nargs=length(MS) + Fstr=Op(1,MS) + Tmp=Op(2,MS) + Tmp1=strsplit(Tmp,"=",fixed=TRUE) + Tmp1=Tmp1[[1]] + Xname=Tmp1[1] + Xrange=eval(parse(text=Tmp1[2])) + Tmp=Op(3,MS) + Tmp1=strsplit(Tmp,"=",fixed=TRUE) + Tmp1=Tmp1[[1]] + Yname=Tmp1[1] + Yrange=eval(parse(text=Tmp1[2])) + Tmp=gsub(Xname,"x",Fstr) + Fstr=gsub(Yname,"y",Tmp) + Tmp=grep(Xname,Fstr) + if(length(Tmp)==0){ + Fstr=paste(Fstr,'+0*x',sep="") + } + Mdv=50 + Ndv=50 + if(Nargs>=4){ + Tmp=Op(4,MS) + if(Length(Tmp)>1){ #18.02.09 + Mdv=Op(1,Tmp) + Ndv=Op(2,Tmp) + }else{ + Mdv=Tmp + if(Nargs==4){ + Ndv=Mdv + }else{ + Tmp1=Op(5,MS) + if((is.numeric(Tmp1))&&(length(Tmp1)==1)){ + Ndv=Tmp1 + }else{ + Ndv=Mdv + } + } + } + } + X1=Xrange[1]; X2=Xrange[2] + Y1=Yrange[1]; Y2=Yrange[2] + Dx=(X2-X1)/Mdv + Dy=(Y2-Y1)/Ndv + Xval=c() + Tmp=X1 + for(ii in 1:(Mdv+1)){ + Tmp=X1+(ii-1)*Dx + Xval=c(Xval,Tmp) + } + Yval=c() + Tmp=Y1 + for(jj in 1:(Ndv+1)){ + Tmp=Y1+(jj-1)*Dy + Yval=c(Yval,Tmp) + } + Zval=matrix(nrow=Ndv+1,ncol=Mdv+1) + I=1 + for(y in Yval){ + J=1 + for(x in Xval){ + Zval[I,J]=eval(parse(text=Fstr)) + J=J+1 + } + I=I+1 + } + return(list(Zval,Xval,Yval)) +} + +Implicitplot<- function(...){ + varargin=list(...) + Eps0=10^(-4) + Nargs=length(varargin) + Fstr=varargin[[1]] + if(is.list(Fstr)){ + MS=Fstr + Tmp=Makevaltable(MS) + Zval=Tmp[[1]]; Xval=Tmp[[2]]; Yval=Tmp[[3]] + }else if(is.character(Fstr)){ +# MS=list() +# for(I in 1:Nargs){ +# MS=c(MS,varargin[I]) +# } +# Tmp=Makevaltable(MS) + Tmp=Makevaltable(varargin) #18.02.24 + Zval=Tmp[[1]]; Xval=Tmp[[2]]; Yval=Tmp[[3]] + }else{ + Zval=varargin[[1]] + Xval=varargin[[2]] + Yval=varargin[[3]] + } + Out=c() + for(J in Looprange(1,length(Yval)-1)){ + for(I in Looprange(1,length(Xval)-1)){ + a1=Xval[I]; b1=Yval[J]; c1=Zval[J,I] + a2=Xval[I+1]; b2=Yval[J]; c2=Zval[J,I+1] + a3=Xval[I+1]; b3=Yval[J+1]; c3=Zval[J+1,I+1] + a4=Xval[I];b4=Yval[J+1];c4=Zval[J+1,I] + PL=matrix(c(a1,b1,a2,b2,a3,b3,a4,b4,a1,b1),ncol=2,byrow=TRUE) + VL=c(c1,c2,c3,c4,c1) + QL=c() + for(K in 1:4){ + if(abs(VL[K])<=Eps0){ + QL=Appendrow(QL,PL[K,]) + }else if(VL[K]>Eps0){ + if(VL[K+1]< -Eps0){ + Tmp=1/(VL[K]-VL[K+1])*(-VL[K+1]*PL[K,]+VL[K]*PL[K+1,]) + QL=Appendrow(QL,Tmp) + } + }else{ + if(VL[K+1]>Eps0){ + Tmp=1/(-VL[K]+VL[K+1])*(VL[K+1]*PL[K,]-VL[K]*PL[K+1,]) + QL=Appendrow(QL,Tmp) + } + } + } + if(Length(QL)==2){ + Out=Appendrow(Out,c(Inf,Inf)) + Out=Appendrow(Out,QL) + } + } + } + Out=Out[2:nrow(Out),] + if(Length(Out)>0){ + Out=Connectseg(Out) + }else{ + Out=c() + } + return(Out) +} + +######################### +# 17.10.06 + +Deqdata=function(deq,rng,initt,initf,Num){ + Eps=10^(-3) + inf=10^3 + tmp=strsplit(deq,"=")[[1]] + tmp1=gsub("`","",tmp[1],fixed=TRUE) + tmp1=substring(tmp1,3,nchar(tmp1)-1) + Xname=strsplit(tmp1,",")[[1]] + func=tmp[2] + for(J in 1:(length(Xname))){ + tmp1=paste("X[",as.character(J),"]",sep="") + func=gsub(Xname[J],tmp1,func,fixed=TRUE) + } + tmp=strsplit(rng,"=")[[1]] + tname=tmp[1] + tmp=eval(parse(text=tmp[2])) + t1=tmp[1] + t2=tmp[2] + tmp=paste("function(",tname,",X){",func,"}",sep="") + funP=eval(parse(text=tmp)) + tmp=paste("function(",tname,",X){-",func,"}",sep="") + funN=eval(parse(text=tmp)) + dt=(t2-t1)/Num + tt=initt + X0=initf + pdL=c(tt,X0) + for(J in Looprange(1,floor((t2-initt)/dt))){ + kl1=dt*funP(tt,X0) + kl2=dt*funP(tt+dt/2,X0+kl1/2) + kl3=dt*funP(tt+dt/2,X0+kl2/2) + kl4=dt*funP(tt+dt,X0+kl3) + X0=X0+(kl1+2*kl2+2*kl3+kl4)/6 + tt=initt+J*dt + tmp=c(tt,X0) + if(Norm(tmp)>inf){break} + pdL=Appendrow(pdL,tmp) + } + tt=initt + X0=initf + for(J in Looprange(1,floor((initt-t1)/dt))){ + kl1=dt*funN(tt,X0) + kl2=dt*funN(tt+dt/2,X0+kl1/2) + kl3=dt*funN(tt+dt/2,X0+kl2/2) + kl4=dt*funN(tt+dt,X0+kl3) + X0=X0+(kl1+2*kl2+2*kl3+kl4)/6 + tt=initt-J*dt + tmp=c(tt,X0) + if(Norm(tmp)>inf){break} + pdL=Appendrow(tmp,pdL) + } + pdL +} + +Deqplot=function(...){ + varargin=list(...) + deq=varargin[[1]] + rng=varargin[[2]] + initt=varargin[[3]] + initf=varargin[[4]] + Num=50 + Sel=c(1,2) + for(J in Looprange(5,length(varargin))){ + tmp1=varargin[[J]] + if(is.character(tmp1)){ + tmp=strsplit(tmp1,"=")[[1]] + Num=eval(parse(text=tmp[2])) + }else{ + SeL=tmp1 + } + } + pdL=Deqdata(deq,rng,initt,initf,Num) + pdL=pdL[,SeL] +} + + +############## obj ############### + +Openobj<- function(Fnm){ + OBJFMT<<- "%7.4f" + NPOINT<<- 0 + NNORM<<- 0 + OBJSCALE<<- 1 + OBJFIGNO<<- 0 + OBJJOIN<<- 0 + Wfile<<- Fnm + Tmp=grep(".obj",Fnm,fixed=TRUE) + if(length(Tmp)==0){ + if(nchar(Fnm)>0){ + Wfile<<- paste(Fnm,".obj",sep="") + } + } + cat("",file=Wfile,sep="") + Wfile +} + +Closeobj<- function(){ + Wfile="" +} + +Writeobjpoint<- function(P){ + X=sprintf(OBJFMT,P[1]*OBJSCALE) + Y=sprintf(OBJFMT,P[2]*OBJSCALE) + Z=sprintf(OBJFMT,P[3]*OBJSCALE) + Str=paste("v",X,Y,Z,sep=" ") + Printobjstr(Str) + NPOINT<<- NPOINT+1 + return(NPOINT) +} + +Printobjstr<- function(Str){ + cat(Str,"\n",sep="",file=Wfile,append=TRUE) +} + +Objname<- function(){ + if(OBJJOIN==0){ + OBJFIGNO<<- OBJFIGNO+1 + Gname=paste("ketfig",as.character(OBJFIGNO),sep="") + Printobjstr(paste("# ",Gname,sep="")) + Printobjstr(paste("g ",Gname,sep="")) + } +} + +Objjoin<- function(...){ + varargin=list() + if(length(varargin)>0){ + OBJJOIN<<- abs(sign(varargin[[1]])) + } + OBJJOIN +} + +Objsurf<- function(...){ #17.12.18 + Args<- list(...) + Nargs<- length(Args) + Sel=Args[[Nargs]]; Nargs=Nargs-1 + Rf=Args[[1]] + N=2 + Mg=0; Ng=0 + if(is.numeric(Args[[N]])){ + if(length(Args[[N]])>2){ + U=Args[[N]] + Mg=length(U)-1 + N=N+1 + }else if(length(Args[[N]])==2){ + Intab=Args[[N]] + Ag=Intab[1]; Bg=Intab[2] + N=N+1 + }else{ + Ag=Args[N]; Bg=Args[N+1] + N=N+2 + } + }else{ + Tmp0=Args[[N]] + Tmp=grep("=",Tmp0,fixed=TRUE) + if(length(Tmp)>0){ + Tmp1=strsplit(Tmp0,"=") + Tmp0=Tmp1[[1]][2] + } + Intab=eval(parse(text=Tmp0)) + Ag=Intab[1]; Bg=Intab[2] + N=N+1 + } + if(is.numeric(Args[[N]])){ + if(length(Args[[N]])>2){ + V=Args[[N]] + Ng=length(V)-1 + N=N+1 + }else if(length(Args[[N]])==2){ + Intab=Args[[N]] + Cg=Intab[1]; Dg=Intab[2] + N=N+1 + }else{ + Cg=Args[[N]]; Dg=Args[[N+1]] + N=N+2 + } + }else{ # the case of is.character(Args[[N]]) + Tmp0=Args[[N]] + Tmp=grep("=",Tmp0,fixed=TRUE) + if(length(Tmp)>0){ + Tmp2=strsplit(Tmp0,"=") + Tmp0=Tmp2[[1]][2] + } + Intab=eval(parse(text=Tmp0)) + Cg=Intab[1]; Dg=Intab[2] + N=N+1 + } + if(Mg==0){ + Mg=Args[[N]] + N=N+1 + U=c() + for(J in Looprange(1,Mg+1)){ + U=c(U,Ag+(J-1)/Mg*(Bg-Ag)) + } + } + if(Ng==0){ + Ng=Args[[N]] + V=c() + for(K in Looprange(1,Ng+1)){ + V=c(V,Cg+(K-1)/Ng*(Dg-Cg)) + } + } + Objname() + PL=list() + for(J in Looprange(1,Mg+1)){ + for(K in Looprange(1,Ng+1)){ + P=Rf(U[J],V[K]) + Np=Writeobjpoint(P) + PL=c(PL,list(c(P,Np))) + } + } + Idx=1+(Ng+1)*(0:Mg) + Pus=PL[Idx] + Idx=(Ng+1)*(1:(Mg+1)) + Pue=PL[Idx] + Idx=1:(Ng+1) + Pvs=PL[Idx] + Idx=((Ng+1)*Mg+1):((Ng+1)*(Mg+1)) + Pve=PL[Idx] + Printobjstr("vt 0 0") + Printobjstr("vt 1 0") + Printobjstr("vt 1 1") + Printobjstr("vt 0 1") + for(J in Looprange(1,Mg)){ + for(K in Looprange(1,Ng)){ + P1=sprintf("%1d",Op(4,PL[[(Ng+1)*(J-1)+K]])) + P2=sprintf("%1d",Op(4,PL[[(Ng+1)*J+K]])) + P3=sprintf("%1d",Op(4,PL[[(Ng+1)*J+K+1]])) + P4=sprintf("%1d",Op(4,PL[[(Ng+1)*(J-1)+K+1]])) + N1=""; N2=""; N3=""; N4="" + if(Sel=="+"){ + Str=paste("f ",P1,"/1/",N1," ",P2,"/2/",N2," ",sep="") + Str=paste(Str,P3,"/3/",N3," ",P4,"/4/",N4,sep="") + }else{ + Str=paste("f ",P1,"/1/",N1," ",P4,"/4/",N4," ",sep="") + Str=paste(Str,P3,"/3/",N3," ",P2,"/2/",N2,sep="") + } + Printobjstr(Str) + } + } + list(U,V,Pus,Pue,Pvs,Pve) +} + +Objthicksurf<- function(...){ + Args=list(...) + Nargs=length(Args) + Sel=Args[[Nargs]]; Nargs=Nargs-1 + Selsurf=substring(Sel,1,1) + Selside=c("0","0","0","0") + Tmp=grep("w",Sel,fixed=TRUE) + if(length(Tmp)>0){ + Selside[1]="w" + } + Tmp=grep("e",Sel,fixed=TRUE) + if(length(Tmp)>0){ + Selside[2]="e" + } + Tmp=grep("s",Sel,fixed=TRUE) + if(length(Tmp)>0){ + Selside[3]="s" + } + Tmp=grep("n",Sel,fixed=TRUE) + if(length(Tmp)>0){ + Selside[4]="n" + } + Nfth=Args[[Nargs-2]] + Thick1=Args[[Nargs-1]] + Thick2=Args[[Nargs]] + Nargs=Nargs-3 + Rfth=Args[[1]] + N=2 + Mg=0; Ng=0 + if(is.numeric(Args[[N]])){ + if(length(Args[[N]])>2){ + U=Args[[N]] + Mg=length(U)-1 + N=N+1 + }else if(length(Args[[N]])==2){ + Intab=Args[[N]] + Ag=Intab[1]; Bg=Intab[2] + N=N+1 + }else{ + Ag=Args[[N]]; Bg=Args[[N+1]] + N=N+2 + } + }else{ + Tmp0=Args[[N]] + Tmp=strsplit(Tmp0,"=",fixe=TRUE) + if(length(Tmp)>0){ + Tmp0=Tmp[[1]][2] + } + Intab=eval(parse(text=Tmp0)) + Ag=Intab[1]; Bg=Intab[2] + N=N+1 + } + if(is.numeric(Args[[N]])){ + if(length(Args[[N]])>2){ + V=Args[[N]] + Ng=length(V)-1 + N=N+1 + }else if(length(Args[[N]])==2){ + Intab=Args[[N]] + Cg=Intab[1]; Dg=Intab[2] + N=N+1 + }else{ + Cg=Args[[N]]; Dg=Args[[N+1]] + N=N+2 + } + }else{ + Tmp0=Args[[N]] + Tmp=strsplit(Tmp0,"=",fixed=TRUE) + if(length(Tmp)>0){ + Tmp0=Tmp[[1]][2] + } + Intab=eval(parse(text=Tmp0)) + Cg=Intab[1]; Dg=Intab[2] + N=N+1 + } + if(Mg==0){ + Mg=Args[[N]] + N=N+1 + U=c() + for(J in Looprange(1,Mg+1)){ + U=c(U,Ag+(J-1)/Mg*(Bg-Ag)) + } + } + if(Ng==0){ + Ng=Args[[N]] + V=c() + for(K in Looprange(1,Ng+1)){ + V=c(V,Cg+(K-1)/Ng*(Dg-Cg)) + } + } + Objname() + Join=OBJJOIN + OBJJOIN<<- 1 + F1=function(u,v){ + Rfth(u,v)+Thick1*Nfth(u,v) + } + F2=function(u,v){ + Rfth(u,v)+Thick2*Nfth(u,v) + } + Dt1=Objsurf(F1,U,V,Selsurf) + if(Selsurf=="+"){ + Tmp="-" + }else{ + Tmp="+" + } + Dt2=Objsurf(F2,U,V,Tmp); + Out=list(Dt1,Dt2); + + if(Selside[1]!="0"){ + Dt=Objrecs(Op(3,Dt1),Op(3,Dt2),Selside[1]) + Out=c(Out,list(Dt)) + } + if(Selside[2]!="0"){ + Dt=Objrecs(Op(4,Dt1),Op(4,Dt2),Selside[2]) + Out=c(Out,list(Dt)) + } + if(Selside[3]!="0"){ + Dt=Objrecs(Op(5,Dt1),Op(5,Dt2),Selside[3]) + Out=c(Out,list(Dt)) + } + if(Selside[4]!="0"){ + Dt=Objrecs(Op(6,Dt1),Op(6,Dt2),Selside[4]) + Out=c(Out,list(Dt)) + } + OBJJOIN<<- Join +} + +Objrecs<- function(...){ + Eps=10^(-6) + Args=list(...) + Nargs=length(Args) + Tmp=Args[[1]] + PtL=Flattenlist(Tmp) + for(J in Looprange(1,length(PtL))){ #17.12.23from + Tmp=PtL[[J]] + if(!is.matrix(Tmp)){ + PtL[[J]]=matrix(Tmp,nrow=1) + } + } #17.12.23upto + PL1=list() + for(J in Looprange(1,length(PtL))){ + Tmp=PtL[[J]] + for(K in Looprange(1,nrow(Tmp))){ + PL1=c(PL1,list(Tmp[K,])) + } + } + Sel=Args[[Nargs]]; Nargs=Nargs-1 + Objname() + for(J in Looprange(1,length(PL1))){ + P=PL1[[J]] + if((length(P)<4) || (P[4]==0)){ + Np=Writeobjpoint(P) + PL1[[J]]=c(P[1:3],Np) + } + } + Tmp=Args[[2]] + if((is.numeric(Tmp)) && (length(Tmp)==1)){ + Drv=Tmp + Len=Norm(Drv) + PL2=list() + for(J in Looprange(1,length(PL1))){ + Tmp=PL1[[J]] + P=Tmp[1:3]+Drv + Np=Writeobjpoint(P) + PL2=c(PL2,list(c(P[1:3],Np))) + if(J<length(PL1)){ + Vec=PL1[[J+1]]-PL1[[J]] + if(Norm(Vec)>Eps){ + Tmp1=Crossprod(Drv,Vec) + Tmp2=Crossprod(Tmp1,Vec) + Tmp3=Dotprod(Tmp2,Drv) + if(Tmp3<-Eps){ + Tmp2=-Tmp2 + } + Drv=Len/Norm(Tmp2)*Tmp2 + } + } + } + }else{ + PtL=Flattenlist(Tmp) + for(J in Looprange(1,length(PtL))){ #17.12.23from + Tmp=PtL[[J]] + if(!is.matrix(Tmp)){ + PtL[[J]]=matrix(Tmp,nrow=1) + } + } #17.12.23upto + PL2=list() + for(J in Looprange(1,length(PtL))){ + Tmp=PtL[[J]] + for(K in Looprange(1,nrow(Tmp))){ + PL2=c(PL2,list(Tmp[K,])) + } + } + for(J in Looprange(1,length(PL2))){ + P=PL2[[J]] + if((length(P)<4) || (P[4]==0)){ + Np=Writeobjpoint(P) + PL2[[J]]=c(P[1:3],Np) + } + } + } + Printobjstr("vt 0 0") + Printobjstr("vt 1 0") + Printobjstr("vt 1 1") + Printobjstr("vt 0 1") + for(J in Looprange(2,length(PL1))){ + P1=sprintf("%1d",Op(4,PL1[[J-1]])) + P2=sprintf("%1d",Op(4,PL2[[J-1]])) + P3=sprintf("%1d",Op(4,PL2[[J]])) + P4=sprintf("%1d",Op(4,PL1[[J]])) + N1=""; N2=""; N3=""; N4="" + if(Sel=="+"){ + Str=paste("f ",P1,"/1/",N1," ",P2,"/2/",N2," ",sep="") + Str=paste(Str,P3,"/3/",N3," ",P4,"/4/",N4,sep="") + }else{ + Str=paste("f ",P1,"/1/",N1," ",P4,"/4/",N4," ",sep="") + Str=paste(Str,P3,"/3/",N3," ",P2,"/2/",N2,sep="") + } + Printobjstr(Str) + } + list(PL1,PL2) +} + +Objpolygon<- function(...){ + Eps=10^(-6) + Args=list(...) + Nargs=length(Args) + Tmp=Args[[1]] + PtL=Flattenlist(Tmp) + for(J in Looprange(1,length(PtL))){ #17.12.23from + Tmp=PtL[[J]] + if(!is.matrix(Tmp)){ + PtL[[J]]=matrix(Tmp,nrow=1) + } + } #17.12.23upto + PL=list() + for(J in Looprange(1,length(PtL))){ + Tmp=PtL[[J]] + for(K in Looprange(1,nrow(Tmp))){ + PL=c(PL,list(Tmp[K,])) + } + } + Sel=Args[[Nargs]]; Nargs=Nargs-1 + Objname() + for(J in Looprange(1,length(PL))){ + P=PL[[J]] + if((length(P)<4) || (P(4)==0)){ + Np=Writeobjpoint(P) + PL[[J]]=c(P[1:3],Np) + } + } + if(Nargs==1){ + Tmp=PL[[1]] + Cen=Tmp[1:3] + Nc=Tmp[4] + }else{ + Tmp=Args[[2]] + if(length(Tmp)==1){ + Tmp1=PL[[Tmp]] + Cen=Tmp1[1:3] + Nc=Tmp[4] + }else{ + Cen=Tmp + Nc=Writeobjpoint(Cen) + } + } + for(J in Looprange(1,length(PL))){ + if(J<length(PL)){ + Je=J+1 + }else{ + Je=1 + } + Pt1=Cen + PLj=PL[[J]]; PLje=PL[[Je]] + Pt2=PLj[1:3]; Pt3=PLje[1:3] + if(Norm(Crossprod(Pt2-Pt1,Pt3-Pt1))<Eps){ + next + } + P1=sprintf("%1d",Nc) + P2=sprintf("%1d",PLj[4]) + P3=sprintf("%1d",PLje[4]) + if(Sel=="+"){ + Str=paste("f",P1,P2,P3,"",sep=" ") + }else{ + Str=paste("f",P1,P3,P2,"",sep=" ") + } + Printobjstr(Str) + } + PL +} + +Objpolyhedron<- function(Vertex,Face){ + OBJFIGNO<<- OBJFIGNO+1 + Ninit=NPOINT + Objname() + for(N in Looprange(1,length(Vertex))){ + P=Vertex[[N]] + Np=Writeobjpoint(P) + Vertex[[N]]=c(P[1:3],Np) + } + for(N in Looprange(1,length(Face))){ + F=Face[[N]]+Ninit + Face[[N]]=F + Str="f" + for(J in Looprange(1,length(F))){ + P=sprintf("%1d",F[J]) + Str=paste(Str,P,sep=" ") + } + Printobjstr(Str) + } + list(Vertex,Face) +} + +Objcurve<- function(...){ + Eps=10^(-6) + Args=list(...) + Nargs=length(Args) + Tmp=Args[[1]] + PtL=Flattenlist(Tmp) + for(J in Looprange(1,length(PtL))){ #17.12.23from + Tmp=PtL[[J]] + if(!is.matrix(Tmp)){ + PtL[[J]]=matrix(Tmp,nrow=1) + } + } #17.12.23upto + PL=list() + for(J in Looprange(1,length(PtL))){ + Tmp=PtL[[J]] + for(K in Looprange(1,nrow(Tmp))){ + PL=c(PL,list(Tmp[K,])) + } + } + Closed=Norm(PL[[length(PL)]]-PL[[1]])<Eps + Pstr="xy" + Tmp=Args[[Nargs]] + if(is.character(Tmp)){ + Pstr=Tmp + Nargs=Nargs-1 + } + Sz=0.1 + Np=4 + if(Nargs>=2){ + Sz=Args[[2]] + } + if(Nargs>=3){ + Np=Args[[3]] + } + Assign("Sz",Sz) + if(Pstr=="xy"){ + Vz=c(0,0,1) + Fs=Assign("c(Sz*cos(t),Sz*sin(t),0)") + } + if(Pstr=="yz"){ + Vz=c(1,0,0) + Fs=Assign("c(0,Sz*cos(t),Sz*sin(t))") + } + if(Pstr=="zx"){ + Vz=c(0,1,0) + Fs=Assign("c(Sz*sin(t),0,Sz*cos(t))") + } + Gc0=Spacecurve(Fs,"t=c(0,2*pi)",paste("Num=",as.character(Np),sep="")) + P=PL[[1]]; Q=PL[[2]]; R=PL[[length(PL)-1]] + PQ1=Q-P + if(!Closed){ + PQ2=PQ1 + }else{ + PQ2=P-R + } + Vp=PQ1/Norm(PQ1)+PQ2/Norm(PQ2) + Vp1=Vp/Norm(Vp) + Theta=acos(min(Dotprod(Vz,Vp1),1)); + Vj=Crossprod(Vz,Vp1) + if(Norm(Vj)<Eps){ + Vj=Vz + } + Gc1=Rotate3data(Gc0,Vj,Theta) + CL=list(Translate3data(Gc1,P)) + for(J in Looprange(2,length(PL)-1)){ + P=PL[[J]]; Q=PL[[J+1]] + PQ2=Q-P + if(Norm(PQ2)<Eps){ + next + } + Vp=PQ1/Norm(PQ1)+PQ2/Norm(PQ2) + Vp2=Vp/Norm(Vp) + Theta=acos(min(Dotprod(Vp1,Vp2),1)) + Vj=Crossprod(Vp1,Vp2) + if(Norm(Vj)<Eps){ + Vj=Vp1 + } + Gc2=Rotate3data(Gc1,Vj,Theta) + CL=c(CL,list(Translate3data(Gc2,P))) + PQ1=PQ2 + Vp1=Vp2 + Gc1=Gc2 + } + if(!Closed){ + Vp2=(Q-P)/Norm(Q-P) + Theta=acos(min(Dotprod(Vp1,Vp2),1)) + Vj=Crossprod(Vp1,Vp2) + if(Norm(Vj)<Eps){ + Vj=Vp1 + } + Gc3=Rotate3data(Gc1,Vj,Theta) + CL=c(CL,list(Translate3data(Gc3,Q))) + } + Objname() + Join=Objjoin(); + Objjoin(1) + GL1=CL[[1]] + for(J in Looprange(2,length(CL))){ + GL2=CL[[J]] + Dt=Objrecs(GL1,GL2,"-") + GL1=Dt[[2]] + if(J==2){ + GL0=Dt[[1]] + } + } + if(!Closed){ + Objpolygon(CL[[1]],"-") + N=length(CL) + Objpolygon(CL[[N]],"+") + }else{ + Objrecs(GL1,GL0,"-") + } + Out=CL + OBJJOIN<<- Join +} + +Objsymb<- function(Symb,Thick,Face,Dir){ + for(J in Looprange(1,length(Symb))){ + Objcurve(Op(J,Symb),Thick,Face,Dir) + } +} + +Symb3data<- function(Moji,Size,Kaiten,NV,Pos){ + if(is.character(Moji)){ + #Tmp=Symbdata(Moji) + # GY1=Tmp(2) + }else{ + GY1=Moji + } + GY1=Scaledata(GY1,Size,Size) + GY1=Rotatedata(GY1,Kaiten*pi/180) + A=NV[1]; B=NV[2]; C=NV[3] + if(A^2+B^2==0){ + E1=c(1,0,0) + E2=c(0,1,0) + }else{ + E1=c(B,-A,0) + E2=c(-A*C,-B*C,A^2+B^2) + Tmp=matrix(c(E1,E2,NV),3,3) + D=det(Tmp) + if(D<0){ + E1=-E1 + } + E1=E1/Norm(E1) + E2=E2/Norm(E2) + } + Em<- function(X,Y){ + c(E1[1]*X+E2[1]*Y,E1[2]*X+E2[2]*Y,E1[3]*X+E2[3]*Y) + } + GY1=Embed(GY1,Em) + GY1=Translate3data(GY1,Pos) + Flattenlist(GY1) +} + +############## New Intersect 18.02.01 ############# + +Intersectline<- function(p1,v1,p2,v2){ + Eps0=10^(-5) + tmp=Dotprod(v1,v2) + tmp1=c(tmp,Norm(v1)^2) + tmp2=c(-Norm(v2)^2,-tmp) + tmp3=c(Dotprod(p2-p1,v2),Dotprod(p2-p1,v1)) + d=Crossprod(tmp1,tmp2) + tmp=abs(Crossprod(v1,v2)) + if(tmp>Eps0){ + dt=Crossprod(tmp3,tmp2) + ds=Crossprod(tmp1,tmp3) + t=dt/d + s=ds/d + pt=p1+v1*t + out=list(pt,t,s) + }else{ + tmp1=Crossprod(p2-p1,v1)/Norm(v1) + out=list(abs(tmp1)) + } + return(out) +} + +Intersectseg<- function(...){ + varargin=list(...) + Nargs=length(varargin) + Eps0=10^(-4) + Eps1=0.01 + seg1=varargin[[1]] + seg2=varargin[[2]] + if(Nargs>2){Eps1=varargin[[3]]} + p1=Op(1,seg1); q1=Op(2,seg1) + p2=Op(1,seg2); q2=Op(2,seg2) + if((Norm(q1-p1)<Eps0)||(Norm(q2-p2)<Eps0)){ + out=list(-1) + }else{ + tmp=Intersectline(p1,q1-p1,p2,q2-p2) + if(length(Op(1,tmp))>1){ + pt=Op(1,tmp); t=Op(2,tmp); s=Op(3,tmp) + if((t*(t-1)<Eps0)&&(s*(s-1)<Eps0)){ + out=list(0,pt,t,s) + }else{ + t=min(max(t,0),1) + s=min(max(s,0),1) + tmp3=c(Norm(p1-p2),Norm(p1-q2),Norm(p2-p1),Norm(p2-q1)) + tmp1=c(Op(2,q2-p2),-Op(1,q2-p2)) + tmp=Intersectline(p1,tmp1,p2,q2-p2) + if(length(Op(1,tmp))>1){ + if(Op(3,tmp)*(Op(3,tmp)-1)<Eps0){ + tmp3=c(tmp3,Norm(Op(1,tmp)-p1)) + } + } + tmp=Intersectline(q1,tmp1,p2,q2-p2) + if(length(Op(1,tmp))>1){ + if(Op(3,tmp)*(Op(3,tmp)-1)<Eps0){ + tmp3=c(tmp3,Norm(Op(1,tmp)-q1)) + } + } + tmp1=c(Op(2,q1-p1),-Op(1,q1-p1)) + tmp=Intersectline(p2,tmp1,p1,q1-p1); + if(length(Op(1,tmp))>1){ + if(Op(3,tmp)*(Op(3,tmp)-1)<Eps0){ + tmp3=c(tmp3,Norm(Op(1,tmp)-p2)) + } + } + if(length(Op(1,tmp))>1){ + if(Op(3,tmp)*(Op(3,tmp)-1)<Eps0){ + tmp3=c(tmp3,Norm(Op(1,tmp)-q2)) + } + } + out=list(min(tmp3),pt,t,s) + } + }else{ + dist=tmp[[1]] + tmp1=q1-p1 + n=c(tmp1[2],-tmp1[1])/Norm(tmp1) + pts=list() + tmp=Intersectline(p1,n,p2,q2-p2) + if((length(tmp)>1)&&(tmp[[3]]*(tmp[[3]]-1)<Eps0)){ + tmp1=(1-tmp[[3]])*p2+tmp[[3]]*q2 + pts=c(pts,list(list(tmp1,0,tmp[[3]]))) + } + tmp=Intersectline(q1,n,p2,q2-p2) + if((length(tmp)>1)&&(tmp[[3]]*(tmp[[3]]-1)<Eps0)){ + tmp1=(1-tmp[[3]])*p2+tmp[[3]]*q2 + pts=c(pts,list(list(tmp1,1,tmp[[3]]))) + } + tmp=Intersectline(p2,n,p1,q1-p1) + if((length(tmp)>1)&&(tmp[[3]]*(tmp[[3]]-1)<Eps0)){ + tmp1=(1-tmp[[3]])*p1+tmp[[3]]*q1 + pts=c(pts,list(list(tmp1,tmp[[3]],0))) + } + if((length(tmp)>1)&&(tmp[[3]]*(tmp[[3]]-1)<Eps0)){ + tmp1=(1-tmp[[3]])*p1+tmp[[3]]*q1 + pts=c(pts,list(list(tmp1,tmp[[3]],2))) + } + if(length(pts)==0){ + tmp1=min(Norm(p2-p1),Norm(q2-p1),Norm(p2-q1),Norm(q2-q1)) + out=list(tmp1) + }else{ + if(dist>Eps1){ + out=list(dist) + }else{ + tmp=c(); + for(j in 1:length(pts)){ + tmp=Appendrow(tmp,Op(1,pts[[j]])) + } + tmp1=sum(tmp[,1])/(length(pts)) + tmp2=sum(tmp[,2])/(length(pts)) + tmp3=c(tmp1,tmp2) + tmp=Nearestpt(tmp3,seg1) + tmp1=tmp[[2]] + tmp=Nearestpt(tmp3,seg2) + tmp2=tmp[[2]] + out=list(dist,tmp3,tmp1,tmp2) + } + } + } + } + return(out) +} + +Osplineseg<- function(...){ + varargin=list(...) + Nargs=length(varargin) + Eps=10^(-2) + Eps0=10^(-6) + Ptlist=varargin[[1]] + Numstr="Num=20" + if(Nargs>1){ + Numstr=varargin[[2]] + } + p0=Op(1,Ptlist); p1=Op(2,Ptlist); p2=Op(3,Ptlist); p3=Op(4,Ptlist) + tmp=Norm(p2-p0)*Norm(p3-p1) + tmp=1+sqrt((1+Dotprod(p2-p0,p3-p1)/tmp)/2) + cc=4*Norm(p2-p1)/3/(Norm(p2-p0)+Norm(p3-p1))/tmp + pQ=p1+cc*(p2-p0) + pR=p2+cc*(p1-p3) + ctrL=list(c(pQ,pR)) + out=Bezier(list(p1,p2),ctrL,Numstr) + return(out) +} + +Intersectpartseg<- function(...){ + varargin=list(...) + Nargs=length(varargin) + crv1=varargin[[1]] + crv2=varargin[[2]] + ii=varargin[[3]] + jj=varargin[[4]] + Eps1=varargin[[5]] + Eps2=varargin[[6]] + Dist=10*Eps2 + if(Nargs>6){Dist=varargin[[7]]} + Eps0=10^(-4) + out=list() + seg1=Listplot(Op(ii,crv1),Op(ii+1,crv1)) + seg2=Listplot(Op(jj,crv2),Op(jj+1,crv2)) + tmp1=Op(2,seg1)-Op(1,seg1) + tmp2=Op(2,seg2)-Op(1,seg2) + snang=abs(Crossprod(tmp1,tmp2))/(Norm(tmp1)*Norm(tmp2)) + tmp=Intersectseg(seg1,seg2,Eps1) + dst=Op(1,tmp) + if(dst<Eps0){ + out=list(Op(2,tmp),ii+Op(3,tmp),jj+Op(4,tmp),dst,snang) + }else{ + if(dst<Eps2){ + if((Length(crv1)==2)||(Norm(Op(2,seg1)-Op(1,seg1))>Dist-Eps0)){ + os1=seg1 + }else{ + p1=Op(1,seg1); p2=Op(2,seg1) + if(ii==1){ + p3=Op(3,crv1) + tmp=p2-p1 + tmp=(p1+p2)/2+c(Op(2,tmp),-Op(1,tmp)) + p0=Reflectdata(p3,c((p1+p2)/2,tmp)) + }else{ + if(ii==Length(crv1)-1){ + p0=Op(ii-1,crv1) + tmp=p2-p1 + tmp=(p1+p2)/2+c(Op(2,tmp),-Op(1,tmp)) + p3=Reflectdata(p0,c((p1+p2)/2,tmp)) + }else{ + p0=Op(ii-1,crv1); p3=Op(ii+2,crv1) + } + } + os1=Osplineseg(list(p0,p1,p2,p3)) + } + if((Length(crv2)==2)||(Norm(Op(2,seg2)-Op(1,seg2))>Dist-Eps0)){ + os2=seg2 + }else{ + p1=Op(1,seg2); p2=Op(2,seg2) + if(jj==1){ + p3=Op(3,crv2) + tmp=p2-p1 + tmp=(p1+p2)/2+c(Op(2,tmp),-Op(1,tmp)) + p0=Reflectdata(p3,c((p1+p2)/2,tmp)) + }else{ + if(jj==Length(crv2)-1){ + p0=Op(jj-1,crv2) + tmp=p2-p1 + tmp=(p1+p2)/2+c(Op(2,tmp),-Op(1,tmp)) + p3=Reflectdata(p0,c((p1+p2)/2,tmp)) + }else{ + p0=Op(jj-1,crv2); p3=Op(jj+2,crv2) + } + } + os2=Osplineseg(list(p0,p1,p2,p3)) + } + tmp2=list() + for(kk in Looprange(1,Length(os1)-1)){ + for(ll in Looprange(1,Length(os2)-1)){ + seg1=Listplot(Op(kk,os1),Op(kk+1,os1)) + seg2=Listplot(Op(ll,os2),Op(ll+1,os2)) + tmp=Intersectseg(seg1,seg2,Eps1) + if((Op(1,tmp)<Eps1)&&(length(tmp)>1)){ #18.02.05 + if(Op(1,tmp)<dst+Eps0){ + dst=Op(1,tmp) + tmp3=list() + for( nn in Looprange(1,length(tmp2))){ + if(Op(1,tmp2[[nn]])<dst){ + tmp3=c(tmp3,list(tmp2[[nn]])) + } + } + tmp2=c(tmp3,list(list(dst,Op(2,tmp)))) + } + } + } + } + if(length(tmp2)>0){ + tmp1=c() + for(nn in Looprange(1,length(tmp2))){ + tmp1=Appendrow(tmp1,Op(2,tmp2[[nn]])) + } + tmp=sum(tmp1[,1])/length(tmp2) + tmp=c(tmp,sum(tmp1[,2])/length(tmp2)) + out=list(tmp) + p1=Op(ii,crv1); p2=Op(ii+1,crv1) + tmp=c(Op(2,p2-p1),-Op(1,p2-p1)) + tmp=Intersectline(Op(1,out),tmp,p1,p2-p1) + tmp=min(max(Op(3,tmp),0),1) + out=c(out,list(ii+tmp)) + p1=Op(jj,crv2); p2=Op(jj+1,crv2) + tmp=c(Op(2,p2-p1),-Op(1,p2-p1)) + tmp=Intersectline(Op(1,out),tmp,p1,p2-p1) + tmp=min(max(Op(3,tmp),0),1) + out=c(out,list(jj+tmp,dst,snang)) + } + } + } + return(out) +} + +Collectnear<- function(ptdL,Eps2){ + gL=list(Op(1,ptdL)) + rL=ptdL[Looprange(2,length(ptdL))] #18.02.07 + for( ii in Looprange(1,length(ptdL)-1)){ + numL=c() + for(jj in Looprange(1,length(rL))){ + tmp1=100 + for(kk in Looprange(1,length(gL))){ + tmp=Norm(Op(1,gL[[kk]])-Op(1,rL[[jj]])) + if(tmp<tmp1){tmp1=tmp} + } + if(tmp1<Eps2){numL=c(numL,jj)} + } + if(length(numL)==0){ + break + }else{ + gL=c(gL,rL[numL]) #18.02.05 + tmp=setdiff(1:(length(rL)),numL) + rL=rL[tmp] + } + } + return(list(gL,rL)) +} + +Groupnearpt<- function(...){ + varargin=list(...) + Nargs=length(varargin) + Eps=varargin[[Nargs]] + plist=varargin[[1]] + qlist=varargin[[2]] + if(!is.list(qlist)){ + qlist=plist + plist=list() + } + if(length(qlist)==0){ + return(plist) + } + pt=qlist[[1]] + qlist=qlist[Looprange(2,length(qlist))] + if(length(plist)==0){ + plist=list(matrix(pt,nrow=1)) + }else{ + flg=0 + for(ii in Looprange(1,length(plist))){ + gL=plist[[ii]] + for(jj in Looprange(1,Length(gL))){ + if(Norm(Op(jj,gL)-pt)<Eps){ + flg=1 + break + } + } + if(flg==1){ + plist[[ii]]=Appendrow(gL,pt) + break + } + } + if(flg==0){ + plist=c(plist,list(matrix(pt,nrow=1))) + } + } + out=Groupnearpt(plist,qlist,Eps) + return(out) +} + +IntersectcurvesPp<- function(...){ + varargin=list(...) + Nargs=length(varargin) + Eps0=10^(-4) + Eps1=0.01 + Eps2=0.05 + Dist=10*Eps2 + if(Nargs>2){Eps1=varargin[[3]]} + if(Nargs>3){Eps2=varargin[[4]]} + if(Nargs>4){Dist=varargin[[5]]} + tmp1=varargin[[1]] + crv1=matrix(Op(1,tmp1),nrow=1) + for(ii in Looprange(2,Length(tmp1))){ + tmp=Op(Length(crv1),crv1) + if(Norm(tmp-Op(ii,tmp1))>Eps0){ + crv1=Appendrow(crv1,Op(ii,tmp1)) + } + } + tmp2=varargin[[2]] + crv2=matrix(Op(1,tmp2),nrow=1) + for(ii in Looprange(2,Length(tmp2))){ + tmp=Op(Length(crv2),crv2) + if(Norm(tmp-Op(ii,tmp2))>Eps0){ + crv2=Appendrow(crv2,Op(ii,tmp2)) + } + } + if(Length(crv1)!=Length(crv2)){ + self=0 + }else{ + self=1 + for(ii in Looprange(1,Length(crv1))){ + if(Norm(Op(ii,crv1)-Op(ii,crv2))>0){ + self=0 + break + } + } + } + out=list() + for(ii in Looprange(1,Length(crv1)-1)){ + if(self==0){ + loopL=Looprange(1,Length(crv2)-1) + }else{ + loopL=Looprange(ii+2,Length(crv2)-1) + } + for(jj in loopL){ + tmp=Intersectpartseg(crv1,crv2,ii,jj,Eps1,Eps2,Dist) + if(length(tmp)>1){ #18.02.05 + if(length(out)==0){ + out=list(tmp) + }else{ + tmp1=Op(length(out),out) + if(Norm(Op(1,tmp1)-Op(1,tmp))>Eps1){ + out=c(out,list(tmp)) + } + } + if(self==1){ + tmp=list(Op(1,tmp),Op(3,tmp),Op(2,tmp),Op(4,tmp),Op(5,tmp)) + out=c(out,list(tmp)) + } + } + } + } + tmp2=out + out=list() + tmp1=tmp2 + for(ii in Looprange(1,length(tmp2))){ + tmp=Collectnear(tmp1,Eps2) + out=c(out,list(Op(1,tmp))) + if(length(Op(2,tmp))==0){ + break + }else{ + tmp1=Op(2,tmp) + } + } + for(ii in Looprange(1,length(out))){ + tmp1=Op(ii,out) + if(length(tmp1)==1){ + out[[ii]]=Op(1,tmp1) + }else{ + tmp=c() + for(jj in Looprange(1,length(tmp1))){ + tmp=c(tmp,Op(4,tmp1[[jj]])) + } + dst=min(tmp) + tmp=c() + for(jj in Looprange(1,length(tmp1))){ + if(Op(4,tmp1[[jj]])<dst+Eps0){ + tmp=c(tmp,Op(1,tmp1[[jj]])) + } + } + tmp=matrix(tmp,ncol=2,byrow=TRUE) + tmp=c(sum(tmp[,1]),sum(tmp[,2]))/Length(tmp) + tmp2=list(tmp) + tmp=Nearestpt(Op(1,tmp2),crv1) + tmp2=c(tmp2,list(Op(2,tmp))) + tmp=Nearestpt(Op(1,tmp2),crv2) + tmp2=c(tmp2,list(Op(2,tmp))) + tmp2=c(tmp2,list(list(dst,Op(5,tmp1[[1]])))) + out[[ii]]=tmp2 + } + } + return(out) +} + +Intersectcurves<- function(...){ + dtL=IntersectcurvesPp(...) + out=list() + for(jj in Looprange(1,length(dtL))){ + out=c(out,list(Op(1,dtL[[jj]]))) + } + return(out) +} + +############## end of New Intersect ############# + +############## New Enclosing2 ############# + +Enclosing2<- function(...){ + varargin=list(...) + Nargs=length(varargin) + plist=varargin[[1]] + Eps0=10^(-5) + Eps1=0.01 + Eps2=0.1 + Start=c() + flg=0 + for(ii in Looprange(2,Nargs)){ + tmp=varargin[[ii]] + if(length(tmp)>1){ +# Start=tmp + }else{ + if(flg==0){Eps1=tmp} + if(flg==1){Eps2=tmp} + flg=flg+1 + } + } + flg=0 + AnsL=c() + if(length(plist)==1){ + Fdata=plist[[1]] + tmp1=Op(1,Fdata) + tmp2=Op(Length(Fdata),Fdata) + if(Norm(tmp1-tmp2)<Eps0){ + AnsL=Fdata + }else{ + AnsL=Appendrow(Fdata,tmp1) + } + flg=1 + } + if(flg==0){ + Fdata=Op(1,plist) + Gdata=Op(length(plist),plist) + KL=IntersectcurvesPp(Fdata,Gdata) + if(length(KL)==0){ + tmp1=Op(Length(Gdata),Gdata) + tmp2=Op(1,Fdata) + tmp=Listplot(tmp1,tmp2) + plist=c(plist,list(tmp)) + Start=tmp2 + tst=1 +# flg=1 + }else{ + if(length(KL)==1){ + tmp=Op(1,KL) + tst=Op(2,tmp) + Start=crv(tst,Fdata) + } + if(length(KL)>1){ + KL=Quicksort(KL,2) + if(length(Start)==0){ + tmp=Op(1,KL) + tst=Op(2,tmp) + Start=Pointoncurve(tst,Fdata) + }else{ + tmp=c() + for(ii in Looprange(1,length(KL))){ + tmp=c(tmp,Norm(Op(1,KL[[ii]]-Start))) + } + tmp=min(tmp) + tmp1=list() + for(ii in Looprange(1,length(KL))){ + tmp2=Op(1,KL[[ii]]) + if(Norm(tmp2-Start)==tmp){ + tmp1=c(tmp1,list(tmp2)) + } + } + tmp=Op(1,tmp1) + tst=Op(2,tmp) + Start=Pointoncurve(tst,Fdata) + } + } + } + } + if(flg==0){ + t1=tst + for(nn in Looprange(1,length(plist))){ + Fdata=Op(nn,plist) + if(nn==length(plist)){ + nxtno=1 + }else{ + nxtno=nn+1 + } + Gdata=Op(nxtno,plist) + KL=IntersectcurvesPp(Fdata,Gdata) + if(length(KL)==0){ + tmp=matrix(Op(Length(Fdata),Fdata),nrow=1) #18.02.02from + Gdata=Appendrow(tmp,Gdata) + plist[[nxtno]]=Gdata + t2=Length(Fdata) + ss=1 #18.02.02upto + }else{ + tmp=Op(1,KL) + t2=Op(2,tmp) + ss=Op(3,tmp) + if(abs(t2-t1)<Eps0){ + if(length(KL)>1){ + tmp=Op(2,KL) + t2=Op(2,tmp) + ss=Op(3,tmp) + }else{ +# println(text(nn)+" and "+text(nn+1)+" not intersect"); +# flg=1 + } + } + } + if(flg==0){ + tmp=Partcrv(t1,t2,Fdata) + if(nn==1){ + AnsL=tmp + }else{ + tmp=tmp[2:Length(tmp),] + AnsL=Appendrow(AnsL,tmp) + } + t1=ss + } + } + } + return(AnsL) +} + +############## end of Enclosing2 ############# + +############## start of surface drawing ############# + +Fullformfunc<- function(FdL){ + ADDPOINT<<- list() #18.02.19 + Out=list(Op(1,FdL)) + N=length(FdL) + for(Jrg in Looprange(1,N)){ + Tmp=grep("c(",Op(Jrg,FdL),fixed=TRUE) + if(length(Tmp)>0){ + break + } + } + Urg=Stripblanks(Op(Jrg,FdL)) + Tmp=strsplit(Urg,"=",fixed=TRUE) + UNAME<<- Tmp[[1]][1] + URNG<<- eval(parse(text=Tmp[[1]][2])) + Urg=paste(UNAME,"=c(",sprintf("%6.7f",URNG[1]),",", + sprintf("%6.7f",URNG[2]),")",sep="") + Vrg=Stripblanks(Op(Jrg+1,FdL)) + Tmp=strsplit(Vrg,"=",fixed=TRUE) + VNAME<<- Tmp[[1]][1] + VRNG<<- eval(parse(text=Tmp[[1]][2])) + Vrg=paste(VNAME,"=c(",sprintf("%6.7f",VRNG[1]),",", + sprintf("%6.7f",VRNG[2]),")",sep="") + if(Jrg==2){ + Xf=UNAME + Yf=VNAME + Tmp=Stripblanks(Op(1,FdL)) + Tmp=strsplit(Tmp,"=",fixed=TRUE) + Zf=Tmp[[1]][2] + Tmp=list(UNAME,VNAME,Zf,Urg,Vrg) + Out=c(Out,Tmp) + }else if(Jrg==4){ + Tmp=Stripblanks(Op(1,FdL)) + Tmp=strsplit(Tmp,"=",fixed=TRUE) + Zf=Tmp[[1]][2] + Tmp=Stripblanks(Op(2,FdL)) + Tmp=strsplit(Tmp,"=",fixed=TRUE) + Xname=Tmp[[1]][1] + Xf=Tmp[[1]][2] + Tmp=Stripblanks(Op(3,FdL)) + Tmp=strsplit(Tmp,"=",fixed=TRUE) + Yname=Tmp[[1]][1] + Yf=Tmp[[1]][2] + Tmp=gsub(Xname,paste("(",Xf,")",sep=""),Zf,fixed=TRUE) + Zf=gsub(Yname,paste("(",Yf,")",sep=""),Tmp,fixed=TRUE) + Tmp=list(Xf,Yf,Zf,Urg,Vrg) + Out=c(Out,Tmp) + }else{ + Tmp=Stripblanks(Op(2,FdL)) + Tmp=strsplit(Tmp,"=",fixed=TRUE) + Xf=Tmp[[1]][2] + Tmp=Stripblanks(Op(3,FdL)) + Tmp=strsplit(Tmp,"=",fixed=TRUE) + Yf=Tmp[[1]][2] + Tmp=Stripblanks(Op(4,FdL)) + Tmp=strsplit(Tmp,"=",fixed=TRUE) + Zf=Tmp[[1]][2] + Tmp=list(Xf,Yf,Zf,Urg,Vrg) + Out=c(Out,Tmp) + } + tmp=paste("Xfunc<<- function(",UNAME,",",VNAME,"){",Xf,"}",sep='') + eval(parse(text=tmp)) + tmp=paste("Yfunc<<- function(",UNAME,",",VNAME,"){",Yf,"}",sep='') + eval(parse(text=tmp)) + tmp=paste("Zfunc<<- function(",UNAME,",",VNAME,"){",Zf,"}",sep='') + eval(parse(text=tmp)) + tmp=paste("XYZfunc<<- function(",UNAME,",",VNAME,"){",sep='') + tmp=paste(tmp,"c(",Xf,",",Yf,",",Zf,")}",sep='') + eval(parse(text=tmp)) + XYZstr<<- c(Xf,Yf,Zf) + DRWS<<- "enws" + BdyL=list() + for(I in Looprange(Jrg+2,length(FdL))){ + Tmp=Op(I,FdL) + if(is.character(Tmp)){ + if(nchar(Tmp)==0){ + Tmp=" " + } + DRWS<<- list(Tmp) + } + if((is.numeric(Tmp))&&(Length(Tmp)>1)){ + BdyL=list(Tmp) + } + } + BDYL<<- BdyL + Tmp=c(DRWS,BDYL) + Out=c(Out,Tmp) + return(Out) +} + +Addpoints<- function(ptlist){ + ADDPOINT<<- ptlist +} + +Makexybdy<- function(Np){ + Eps0=10^(-4) + Xystr=XYZstr[1:2] + Umin=URNG[1]; Umax=URNG[2] + Vmin=VRNG[1]; Vmax=VRNG[2] + Cflg=0 + EhL=list() + Tmp=grep("e",DRWS,fixed=TRUE) + if(length(Tmp)>0){ + Tmp1="c(" + for(jj in 1:2){ + Tmp=gsub(UNAME,paste("(",sprintf("%7.7f",Umax),")",sep=""),Xystr[jj]) + Tmp1=paste(Tmp1,Tmp,",",sep="") + } + Tmp=substring(Tmp1,1,Length(Tmp1)-1) + Tmp1=paste(Tmp,")",sep="") + Tmp=sprintf("%6.6f",VRNG) + Tmp2=paste(VNAME,"=c(",Tmp[1],",",Tmp[2],")",sep='') + Tmp3=paste('N=',as.character(Np[2])) + Tmp=Paramplot(Tmp1,Tmp2,Tmp3) + if(Norm(Op(1,Tmp)-Op(Length(Tmp),Tmp))<Eps0){ + Cflg=1 + Tmp[Length(Tmp),]=Tmp[1,] + } + EhL=c(EhL,list(Tmp)) + } + Tmp=grep("n",DRWS,fixed=TRUE) + if(length(Tmp)>0){ + Tmp1="c(" + for(jj in 1:2){ + Tmp=gsub(VNAME,paste("(",sprintf("%7.7f",Vmax),")",sep=""),Xystr[jj]) + Tmp1=paste(Tmp1,Tmp,",",sep="") + } + Tmp=substring(Tmp1,1,Length(Tmp1)-1) + Tmp1=paste(Tmp,")",sep="") + Tmp=sprintf("%6.6f",URNG) + Tmp2=paste(UNAME,"=c(",Tmp[1],",",Tmp[2],")",sep='') + Tmp3=paste('N=',as.character(Np[1])) + Tmp=Paramplot(Tmp1,Tmp2,Tmp3) + if(Cflg>0){ + Tmp1=Op(length(EhL),EhL) + Tmp=Joincrvs(Tmp1,Tmp) + if(Norm(Op(1,Tmp)-Op(Length(Tmp),Tmp))<Eps0){ + Cflg=1 + Tmp[Length(Tmp),]=Tmp[1,] + } + Tmp1=EhL[Looprange(1,length(EhL)-1)] + EhL=c(Tmp1,Tmp) + }else{ + Cflg=0 + if(Norm(Op(1,Tmp)-Op(Length(Tmp),Tmp))<Eps0){ + Cflg=1 + Tmp[Length(Tmp),]=Tmp[1,] + } + EhL=c(EhL,list(Tmp)) + } + } + Tmp=grep("w",DRWS,fixed=TRUE) + if(length(Tmp)>0){ + Tmp1="c(" + for(jj in 1:2){ + Tmp=gsub(UNAME,paste("(",sprintf("%7.7f",Umin),")",sep=""),Xystr[jj]) + Tmp1=paste(Tmp1,Tmp,",",sep="") + } + Tmp=substring(Tmp1,1,Length(Tmp1)-1) + Tmp1=paste(Tmp,")",sep="") + Tmp=sprintf("%6.6f",VRNG) + Tmp2=paste(VNAME,"=c(",Tmp[1],",",Tmp[2],")",sep='') + Tmp3=paste('N=',as.character(Np[2])) + Tmp=Paramplot(Tmp1,Tmp2,Tmp3) + if(Cflg>0){ + Tmp1=Op(length(EhL),EhL) + Tmp=Joincrvs(Tmp1,Tmp) + if(Norm(Op(1,Tmp)-Op(Length(Tmp),Tmp))<Eps0){ + Cflg=1 + Tmp[Length(Tmp),]=Tmp[1,] + } + Tmp1=EhL[Looprange(1,length(EhL)-1)] + EhL=c(Tmp1,list(Tmp)) + }else{ + Cflg=0 + if(Norm(Op(1,Tmp)-Op(Length(Tmp),Tmp))<Eps0){ + Cflg=1 + Tmp[Length(Tmp),]=Tmp[1,] + } + EhL=c(EhL,list(Tmp)) + } + } + Tmp=grep("s",DRWS,fixed=TRUE) + if(length(Tmp)>0){ + Tmp1="c(" + for(jj in 1:2){ + Tmp=gsub(VNAME,paste("(",sprintf("%7.7f",Vmin),")",sep=""),Xystr[jj]) + Tmp1=paste(Tmp1,Tmp,",",sep="") + } + Tmp=substring(Tmp1,1,Length(Tmp1)-1) + Tmp1=paste(Tmp,")",sep="") + Tmp=sprintf("%6.6f",URNG) + Tmp2=paste(UNAME,"=c(",Tmp[1],",",Tmp[2],")",sep='') + Tmp3=paste('N=',as.character(Np[1])) + Tmp=Paramplot(Tmp1,Tmp2,Tmp3) + if(Cflg>0){ + Tmp1=Op(length(EhL),EhL) + Tmp=Joincrvs(Tmp1,Tmp) + if(Norm(Op(1,Tmp)-Op(Length(Tmp),Tmp))<Eps0){ + Cflg=1 + Tmp1=EhL[Looprange(1,length(EhL)-1)] + } + Tmp1=EhL[Looprange(1,length(EhL)-1)] + EhL=c(Tmp1,list(Tmp)) + }else{ + Cflg=0 + if(Norm(Op(1,Tmp)-Op(Length(Tmp),Tmp))<Eps0){ + Cflg=1 + Tmp[Length(Tmp),]=Tmp[1,] + } + EhL=c(EhL,list(Tmp)) + } + } + return(EhL) +} + +Partitionseg<- function(...){ + varargin=list(...) + Nargs=length(varargin) + Fig=varargin[[1]] + GL=varargin[[2]]; N=3 + if(!is.list(GL)){GL=list(GL)} #18.02.21 + Eps0=10^(-4) + Eps=0.01 + if(Nargs>2){ + Eps=varargin[[3]] + } + Eps2=0.1 + if(Nargs>3){ + Eps2=varargin[[4]] + } + if(Nargs>4){ + Ns=varargin[[5]] + if(Ns>0){#18.02.21from + Other=Op(Ns,OTHERPARTITION) + }else{ + Other=c() + }#18.02.21upto + }else{ + Ns=1 + Other=c() + } + Npt=Length(Fig) + ParL=c(1,Npt,Other) + for(N in Looprange(max(1,Ns),Length(GL))){ #18.02.21 + G=Op(N,GL) + KouL=IntersectcurvesPp(Fig,G,Eps,Eps2) + Tmp1=c(); Tmp2=c() + for(jj in Looprange(1,length(KouL))){ + tmp=Op(2,KouL[[jj]]) + if((tmp>1+Eps0)&&(tmp<Npt-Eps0)){ + Tmp1=c(Tmp1,tmp) + } + tmp=Op(3,KouL[[jj]]) + if((tmp>1+Eps0)&&(tmp<Length(G)-Eps0)){ + Tmp2=c(Tmp2,tmp) + } + } + ParL=c(ParL,Tmp1) + if((Ns>0)&&(N>Ns)&&(length(Tmp2)>0)){ #18.02.21 + tmp=OTHERPARTITION[[N]] + OTHERPARTITION[[N]]<<- c(tmp,Tmp2) + } + } + tmp1=sort(ParL) + ParL=c() + tmp2=-1 + for(jj in Looprange(1,length(tmp1))){ + tmp=Op(jj,tmp1) + if(abs(tmp-tmp2)>Eps){ + ParL=c(ParL,tmp) + tmp2=tmp + } + } + return(ParL) +} + +Evlptablepara<- function(...){ + varargin=list(...) + Nargs=length(varargin) + Tmp=varargin[[1]] + Mdv=50 + Ndv=50 + if(Nargs>=2){ + Tmp=varargin[[2]] + if(is.list(Tmp)){Tmp=Op(1,Tmp)} + if(length(Tmp)>1){ + Mdv=Tmp[1] + Ndv=Tmp[2] + }else{ + Mdv=Tmp + if(Nargs==2){ + Ndv=Mdv + }else{ + Tmp1=varargin[[3]] + if((is.numeric(Tmp1)) && (length(Tmp1)==1)){ + Ndv=Tmp1 + }else{ + Ndv=Mdv + } + } + } + } + U1=URNG[1]; U2=URNG[2] + V1=VRNG[1]; V2=VRNG[2] + Du=(U2-U1)/(Mdv) + Dv=(V2-V1)/(Ndv) + sph=sprintf("%7.7f",sin(PHI)) + cph=sprintf("%7.7f",cos(PHI)) + sth=sprintf("%7.7f",sin(THETA)) + cth=sprintf("%7.7f",cos(THETA)) + xstr=paste("-(",XYZstr[1],")*(",sph,")+(",XYZstr[2],")*(",cph,")",sep="") + tmp=paste("-(",XYZstr[1],")*(",cph,")*(",cth,")-(",XYZstr[2],")*(",sph,")*(",cth,")",sep="") + ystr=paste(tmp,"+(",XYZstr[3],")*(",sth,")",sep="") + dxu=Diff(xstr,UNAME) + dxv=Diff(xstr,VNAME) + dyu=Diff(ystr,UNAME) + dyv=Diff(ystr,VNAME) + I=1 + Zval=c() + for(jj in 1:(Ndv+1)){ + v=V1+(jj-1)*Dv + ZuL=c() + for(ii in 1:(Mdv+1)){ + u=U1+(ii-1)*Du + tmp1=paste(UNAME,"=(",sprintf("%7.7f",u),")",sep="") + tmp2=paste(VNAME,"=(",sprintf("%7.7f",v),")",sep="") + Dxu=Funvalue(dxu,tmp1,tmp2) + Dxv=Funvalue(dxv,tmp1,tmp2) + Dyu=Funvalue(dyu,tmp1,tmp2) + Dyv=Funvalue(dyv,tmp1,tmp2) + Tmp=Dxu*Dyv-Dxv*Dyu + ZuL=c(ZuL,Tmp) + } + Zval=Appendrow(Zval,ZuL) + } + Yval=c() + for(jj in 1:(Ndv+1)){ + v=V1+(jj-1)*Dv + Yval=c(Yval,v) + } + Xval=c() + for(ii in 1:(Mdv+1)){ + u=U1+(ii-1)*Du + Xval=c(Xval,u) + } + return(list(Zval,Xval,Yval)) +} + +Dropnumlistcrv<- function(QdL,Eps){ + Eps0=10^(-4) + if(!is.list(QdL)){ + PdL=list(QdL) + }else{ + PdL=QdL + } + OutL=list() + for(I in Looprange(1,length(PdL))){ + Pd=Op(I,PdL) + PtL=c(1) + P=Op(1,Pd) + for(K in Looprange(2,Length(Pd)-1)){ + if(Norm(P-Op(K,Pd))>Eps){ + PtL=c(PtL,K) + P=Op(K,Pd) + } + } + K=Length(Pd) + if(Norm(P-Op(K,Pd))>Eps){ #18.02.12 eps + PtL=c(PtL,K) + } + if(length(PtL)==1){ + PtL=c() + } + OutL=c(OutL,list(PtL)) + } + return(OutL) +} + +Cuspsplitpara<- function(...){ + varargin=list(...) + Nargs=length(varargin); + Gdxy=varargin[[1]] + if(!is.list(Gdxy)){ + Gdxy=list(Gdxy) + } + Eps0=10^(-4) + Eps=0.01 + if(Nargs>2){Eps=varargin[[2]]} + N=2 + CUSPSPLITPT<<- list() + OutkL=list() + for(Ng in Looprange(1,length(Gdxy))){ + PtxyL=Op(Ng,Gdxy) + PtkL=c() + PthL=c() + for(I in Looprange(1,Length(PtxyL))){ + Tmp=Op(I,PtxyL) + Tmp1=paste(UNAME,'=',sprintf("%7.7f",Tmp[1]),sep="") + eval(parse(text=Tmp1)) + Tmp1=paste(VNAME,'=',sprintf("%7.7f",Tmp[2]),sep="") + eval(parse(text=Tmp1)) + Tmp2=c(eval(parse(text=XYZstr[1]))) + Tmp2=c(Tmp2,eval(parse(text=XYZstr[2]))) + Tmp2=c(Tmp2,eval(parse(text=XYZstr[3]))) + Tmp3=Parapt(Tmp2) + if(I==1){ + PtkL=matrix(Tmp2,nrow=1) + PthL=matrix(Tmp3,nrow=1) + }else{ + Tmp4=Op(Length(PthL),PthL) + if(Norm(Tmp3-Tmp4)>Eps0){ + PtkL=Appendrow(PtkL,Tmp2) + PthL=Appendrow(PthL,Tmp3) + } + } + } + if(Length(PthL)==0){ + return(list()) + } + Ps=Op(1,PthL); Pe=Op(Length(PthL),PthL) + Cflg=0 + if(Norm(Ps-Pe)<Eps){Cflg=1} + CuspL=c() + Cva=cos(10*pi/180) + for(I in Looprange(1,Length(PthL)-1)){ + if(Length(PthL)==2){break} + Tmp=Op(I,PthL) + if(I==1){ + if(Cflg==0){next} + Tmp1=Op(Length(PthL)-1,PthL) + }else{ + Tmp1=Op(I-1,PthL) + } + Tmp2=Op(I+1,PthL) + V1=Tmp-Tmp1 + V2=Tmp2-Tmp + Tmp3=Dotprod(V1,V2)/(Norm(V1)*Norm(V2)) + Cuspflg=0 + if(Tmp3<Cva){ + P=Op(I,PthL) + Kaku=acos(Tmp3)*180/pi + if(Crossprod(V1,V2)<0){ + Kaku=-Kaku + } + Cuspflg=0 + for(J in Looprange(I+1,Length(PthL)-1)){ + if(abs(Kaku)>90){ + Cuspflg=1 + break + } + Q=Op(J,PthL) + if(Norm(P-Q)>Eps){ + break + } + V1=Q-Op(J-1,PthL) + V2=Op(J+1,PthL)-Q + Tmp3=Dotprod(V1,V2)/(norm(V1)*norm(V2)) + Tmp=acos(Tmp3)*180/pi + if(Crossprod(V1,V2)<0){ + Tmp=-Tmp + } + Kaku=Kaku+Tmp + } + if(Cuspflg==1){ + Tmp=trunc((I+J)*0.5) + I=J + if(length(CuspL)==0){ + CuspL=c(Tmp) + }else{ + CuspL=c(CuspL,Tmp) + } + } + } + } + if(Cflg==0){ + CuspL=c(1,CuspL,Length(PthL)) + }else if(length(CuspL)==0){ + CuspL=c(1,Length(PthL)) + }else if(Op(1,CuspL)==1){ + CuspL=c(CuspL,Length(PthL)) + }else{ + Tmp=Op(1,CuspL) + Tmp1=PthL[Tmp:Length(PthL),] + Tmp2=PthL[2:Tmp,] + PthL=Appendrow(Tmp1,Tmp2) + Tmp1=PtkL[Tmp:Length(PthL),] + Tmp2=PtkL[2:Tmp,] + PtkL=Appendrow(Tmp1,Tmp2) + CuspL=CuspL-Tmp+1 + CuspL=c(CuspL,Length(PthL)) + } + if(length(CuspL)==2){ + Tmp4=PthL[Length(PthL),] + if(Length(PtkL)>=2){ + CUSPSPLITPT<<- c(CUSPSPLITPT,list(Tmp4)) + OutkL=c(OutkL,list(PtkL)) + } + next + } + Outk=list() + Is=1 + for(I in Looprange(1,length(CuspL)-1)){ + Tmp1=CuspL[Is]; Tmp2=CuspL[I+1] + Tmp3=Op(Tmp1,PthL); Tmp4=Op(Tmp2,PthL) + if(Norm(Tmp3-Tmp4)>Eps){ + Tmpk=PtkL[Tmp1:Tmp2,] + Outk=c(Outk,list(Tmpk)) + CUSPSPLITPT<<- c(CUSPSPLITPT,list(Tmp4)) + Is=I+1 + } + } + OutkL=c(OutkL,Outk) + } + Tmp1=Dropnumlistcrv(Projpara(OutkL),Eps*0.5) + Tmp=list() + for(I in Looprange(1,length(OutkL))){ + Tmp2=Op(I,OutkL) + Tmp3=Op(I,Tmp1) + Tmp4=c() + for(J in Looprange(1,Length(Tmp3))){ + Tmp5=Op(Tmp3[J],Tmp2) + Tmp4=Appendrow(Tmp4,Tmp5) + } + if(Length(Tmp4)>0){ + Tmp=c(Tmp,list(Tmp4)) + } + } + return(Tmp) +} + +PthiddenQ<- function(PtA,Vec,Uveq,Np,Eps,Eps2){ + Eps0=10^(-4) + Out=c() + Vec=1/Norm(Vec)*Vec + if(length(Np)==1){ + Np=c(Np,Np) + } + Tmp=paste("Eqfun<- function(U,V){",sep='') + if((abs(Vec[2])>Eps0) || (abs(Vec[1])>Eps0)){ + Vstr=sprintf("%6.6f",Vec) + Pstr=sprintf("%6.6f",PtA) + Tmp=paste(Tmp,"(",Vstr[2],")*(Xfunc(U,V)-(",Pstr[1],"))",sep='') + Tmp=paste(Tmp,"-(",Vstr[1],")*(Yfunc(U,V)-(",Pstr[2],"))}",sep='') + }else{ + Tmp=paste(Tmp,"Xfunc(U,V)}",sep='') + } + eval(parse(text=Tmp)) + Dx=(URNG[2]-URNG[1])/Np[1] + Dy=(VRNG[2]-VRNG[1])/Np[2] + for(J in Looprange(1,Np[2])){ ##### + Vval1=VRNG[1]+(J-1)*Dy + Vval2=VRNG[1]+J*Dy + for(I in Looprange(1,Np[1])){ ##### + Uval1=URNG[1]+(I-1)*Dx + Uval2=URNG[1]+I*Dx + Eval11=Eqfun(Uval1,Vval1) + Eval12=Eqfun(Uval1,Vval2) + Eval21=Eqfun(Uval2,Vval1) + Eval22=Eqfun(Uval2,Vval2) + a1=Uval1;b1=Vval1;c1=Eval11 + a2=Uval2;b2=Vval1;c2=Eval21 + a3=Uval2;b3=Vval2;c3=Eval22 + a4=Uval1;b4=Vval2;c4=Eval12 + PL=matrix(c(a1,b1,a2,b2,a3,b3,a4,b4,a1,b1),ncol=2,byrow=TRUE) + VL=c(c1,c2,c3,c4,c1) + QL=c() + for(K in 1:4){ + P1=Op(K,PL); P2=Op(K+1,PL) + M1=Op(K,VL); M2=Op(K+1,VL) + if(abs(M1)<Eps0){ + QL=Appendrow(QL,P1) + next + } + if(abs(M2)<Eps0){ +# QL=Appendrow(QL,P2) + next + } + if((M1> 0) && (M2> 0)){ + next + } + if((M1< 0) && (M2< 0)){ + next + } + Tmp=1/(M1-M2)*(-M2*P1+M1*P2) + QL=Appendrow(QL,Tmp) + } + if(Length(QL)==2){ + Puv1=Op(1,QL); Puv2=Op(2,QL) + Tmp1=Op(1,Puv1) + Tmp2=Op(2,Puv1) + Xv=Xfunc(Tmp1,Tmp2) + Yv=Yfunc(Tmp1,Tmp2) + Zv=Zfunc(Tmp1,Tmp2) + P1=c(Xv,Yv,Zv) + Tmp1=Op(1,Puv2) + Tmp2=Op(2,Puv2) + Xv=Xfunc(Tmp1,Tmp2) + Yv=Yfunc(Tmp1,Tmp2) + Zv=Zfunc(Tmp1,Tmp2) + P2=c(Xv,Yv,Zv) + V1=Vec[1]; V2=Vec[2]; V3=Vec[3] + if(abs(V1)>Eps0){ + M1=PtA[3]+V3/V1*(P1[1]-PtA[1])-P1[3] + M2=PtA[3]+V3/V1*(P2[1]-PtA[1])-P2[3] + }else if(abs(V2)>Eps0){ + M1=PtA[3]+V3/V2*(P1[2]-PtA[2])-P1[3] + M2=PtA[3]+V3/V2*(P2[2]-PtA[2])-P2[3] + }else{ + M1=PtA[2]-P1[2] + M2=PtA[2]-P2[2] + } + if(M1*M2>= 0){ + if(((M1>0) && (M2>0)) || ((M1< 0) && (M2< 0))){ + next + } + if(M1==0){ + Pt=P1; Ptuv=Puv1 + }else{ + Pt=P2; Ptuv=Puv2 + } + }else{ + Pt=1/(M1-M2)*(-M2*P1+M1*P2) + Ptuv=1/(M1-M2)*(-M2*Puv1+M1*Puv2) + } + if(is.character(Uveq)){ + Tmp1=paste('(',sprintf("%6.6f",Ptuv[1]),')',sep='') + Tmp2=paste('('+sprintf("%6.6f",Ptuv[2]),')',sep='') + Tmp=gsub(UNAME,Tmp1,Uveq,fixed=TRUE) + Tmp=gsub(VNAME,Tmp2,Tmp,fixed=TRUE) + Tmp=eval(parse(text=Tmp)) + if(Tmp< -Eps0){ + next + } + } + Tmp1=Crossprod(Pt-PtA,Vec) + if(Norm(Tmp1)<Eps){ #18.02.19 + if(Zparapt(Pt)>Zparapt(PtA)+Eps2){ + return(list(1,Pt,Zparapt(Pt),Zparapt(PtA))) + }else{ + Out=Appendrow(Out,Pt) + } + } + } + } + } + if(Length(Out)==0){ + return(list(0,c())) + } + return(c(list(0,Out))) +} + +Nohiddenpara2<- function (Par,Fk,Uveq,Np,Eps,Eps2){ + Eps0=10^(-4) + Fh=Projpara(Fk) + P1=Ptstart(Fh) + P2=Ptend(Fh) + Csp=CUSPPT + if(!is.list(Csp)){Csp=list(Csp)} + Cspflg=1 + for(I in Looprange(1,length(Csp))){ + Tmp=Op(I,Csp) + if(Norm(Tmp-P1)<Eps0){ + if(Cspflg==1){Cspflg=2} + if(Cspflg==3){Cspflg=6} + next + } + if(Norm(Tmp-P2)<Eps0){ + if(Cspflg==1){Cspflg=3} + if(Cspflg==2){Cspflg=6} + next + } + } + PaL=c() + tmp2=-1 + for(jj in Looprange(1,length(Par)-1)){ + tmp1=Op(jj,Par) + if(abs(tmp1-tmp2)>Eps2){ + PaL=c(PaL,tmp1) + tmp2=tmp1 + } + } + tmp1=PaL[length(PaL)] #18.02.26from + tmp2=Par[length(Par)] + if(abs(tmp1-tmp2)<Eps2){ + PaL[length(PaL)]=tmp2 + }else{ + PaL=c(PaL,tmp2) + } #18.02.26upto + SeL=c() + for(N in Looprange(1,length(PaL)-1)){ + S=(PaL[N]+PaL[N+1])/2 + Tmp=Invparapt(S,Fh,Fk) + PtA=Op(1,Tmp) + PtAp=Parapt(PtA) + Vec=c(sin(THETA)*cos(PHI),sin(THETA)*sin(PHI),cos(THETA)) + Flg=PthiddenQ(PtA,Vec,Uveq,Np,Eps,Eps2) + if(Flg[[1]]==0){ + SeL=c(SeL,N) + } + } + FigL=list() + FigkL=list() + for(I in Looprange(1,length(SeL))){ + Tmp1=Pointoncurve(PaL[SeL[I]],Fh) + Tmp2=Pointoncurve(PaL[SeL[I]+1],Fh) + if(I==1){ + P=Tmp1; SP=PaL[SeL[I]] + Q=Tmp2; SQ=PaL[SeL[I]+1] + }else{ + if(Member(SeL[I]-1,SeL)){ + Q=Tmp2; SQ=PaL[SeL[I]+1] + }else{ + FigL=c(FigL,list(Partcrv(SP,SQ,Fh))) + Tmp3=Invparapt(SP,Fh,Fk) + TP=Op(2,Tmp3) + Tmp3=Invparapt(SQ,Fh,Fk) + TQ=Op(2,Tmp3) + Tmp4=Partcrv3(TP,TQ,Fk) + FigkL=c(FigkL,list(Tmp4)) + P=Tmp1; SP=PaL[SeL[I]] + Q=Tmp2; SQ=PaL[SeL[I]+1] + } + } + } + if(length(SeL)>0){ + if(Norm(P-Q)>Eps0){ #18.02.14 + FigL=c(FigL,list(Partcrv(P,Q,Fh))) + Tmp3=Invparapt(SP,Fh,Fk) + TP=Op(2,Tmp3) + Tmp3=Invparapt(SQ,Fh,Fk) + TQ=Op(2,Tmp3) + FigkL=c(FigkL,list(Partcrv3(TP,TQ,Fk))) + }else{ + FigL=c(FigL,list(Fh)) + FigkL=c(FigkL,list(Fk)) + } + } + Tmp=c() + for(I in Looprange(1,length(PaL)-1)){ + if(!Member(I,SeL)){ + Tmp=c(Tmp,I) + } + } + SeL=Tmp + HIDDENDATA<<- list() + for(I in Looprange(1,length(SeL))){ + Tmp=PaL[SeL[I]] + Tmp1=Pointoncurve(Tmp,Fh) + Tmp=PaL[SeL[I]+1] + Tmp2=Pointoncurve(Tmp,Fh) + if(I==1){ + P=Tmp1; SP=PaL[SeL[I]] + Q=Tmp2; SQ=PaL[SeL[I]+1] + }else{ + if(Member(SeL[I]-1,SeL)){ + Q=Tmp2; SQ=PaL[SeL[I]+1] + }else{ + Tmp=Invparapt(SP,Fh,Fk) + TP=Op(2,Tmp) + Tmp=Invparapt(SQ,Fh,Fk) + TQ=Op(2,Tmp) + HIDDENDATA<<- c(HIDDENDATA,list(Partcrv3(TP,TQ,Fk))) + P=Tmp1; SP=PaL[SeL[I]] + Q=Tmp2; SQ=PaL[SeL[I]+1] + } + } + } + if(length(SeL)>0){ + if(Norm(P-Q)>Eps0){ #18.02.14 + Tmp=Invparapt(SP,Fh,Fk) + TP=Op(2,Tmp) + Tmp=Invparapt(SQ,Fh,Fk) + TQ=Op(2,Tmp) + HIDDENDATA<<- c(HIDDENDATA,list(Partcrv3(TP,TQ,Fk))) + }else{ + HIDDENDATA<<- c(HIDDENDATA,list(Fk)) + } + } + return(FigkL) +} + +Borderparadata<- function(...){ + varargin=list(...) + Nargs=length(varargin) + FkL=varargin[[1]] + Np=c(50,50) + Eps=0.01 + Eps2=0.05 + ctr=0 + for(jj in Looprange(2,Nargs)){ + tmp=varargin[[jj]] + if((length(tmp)>1)||(tmp>1)){ + Np=tmp + if(length(Np)==1){ + Np=c(Np,Np) + } + }else{ + ctr=ctr+1 + if(ctr==1){Eps=tmp} + if(ctr==2){Eps2=tmp} + } + } + Umin=URNG[1]; Umax=URNG[2] + Vmin=VRNG[1]; Vmax=VRNG[2] + EkL=list() + Tmp=grep("e",DRWS,fixed=TRUE) + if(length(Tmp)>0){ + Tmp1="c(" + for(jj in 1:3){ + Tmp=gsub(UNAME,paste("(",sprintf("%7.7f",Umax),")",sep=""),XYZstr[jj]) + Tmp1=paste(Tmp1,Tmp,",",sep="") + } + Tmp=substring(Tmp1,1,Length(Tmp1)-1) + Tmp1=paste(Tmp,")",sep="") + Tmp=sprintf("%6.6f",VRNG) + Tmp2=paste(VNAME,"=c(",Tmp[1],",",Tmp[2],")",sep='') + Tmp3=paste('N=',as.character(Np[2]),sep="") + Tmp=Spacecurve(Tmp1,Tmp2,Tmp3) + EkL=c(EkL,list(Tmp)) + } + Tmp=grep("n",DRWS,fixed=TRUE) + if(length(Tmp)>0){ + Tmp1="c(" + for(jj in 1:3){ + Tmp=gsub(VNAME,paste("(",sprintf("%7.7f",Vmax),")",sep=""),XYZstr[jj]) + Tmp1=paste(Tmp1,Tmp,",",sep="") + } + Tmp=substring(Tmp1,1,Length(Tmp1)-1) + Tmp1=paste(Tmp,")",sep="") + Tmp=sprintf("%6.6f",URNG) + Tmp2=paste(UNAME,"=c(",Tmp[1],",",Tmp[2],")",sep='') + Tmp3=paste('N=',as.character(Np[1]),sep="") + Tmp=Spacecurve(Tmp1,Tmp2,Tmp3) + EkL=c(EkL,list(Tmp)) + } + Tmp=grep("w",DRWS,fixed=TRUE) + if(length(Tmp)>0){ + Tmp1="c(" + for(jj in 1:3){ + Tmp=gsub(UNAME,paste("(",sprintf("%7.7f",Umin),")",sep=""),XYZstr[jj]) + Tmp1=paste(Tmp1,Tmp,",",sep="") + } + Tmp=substring(Tmp1,1,Length(Tmp1)-1) + Tmp1=paste(Tmp,")",sep="") + Tmp=sprintf("%6.6f",VRNG) + Tmp2=paste(VNAME,"=c(",Tmp[1],",",Tmp[2],")",sep='') + Tmp3=paste('N=',as.character(Np[2])) + Tmp=Spacecurve(Tmp1,Tmp2,Tmp3) + EkL=c(EkL,list(Tmp)) + } + Tmp=grep("s",DRWS,fixed=TRUE) + if(length(Tmp)>0){ + Tmp1="c(" + for(jj in 1:3){ + Tmp=gsub(VNAME,paste("(",sprintf("%7.7f",Vmin),")",sep=""),XYZstr[jj]) + Tmp1=paste(Tmp1,Tmp,",",sep="") + } + Tmp=substring(Tmp1,1,Length(Tmp1)-1) + Tmp1=paste(Tmp,")",sep="") + Tmp=sprintf("%6.6f",URNG) + Tmp2=paste(UNAME,"=c(",Tmp[1],",",Tmp[2],")",sep='') + Tmp3=paste('N=',as.character(Np[1])) + Tmp=Spacecurve(Tmp1,Tmp2,Tmp3) + EkL=c(EkL,list(Tmp)) + } + if(length(EkL)>0){ + FkL=c(FkL,EkL) + } + Fall=Projpara(FkL) + if(is.numeric(Fall)){ + Fall=list(Fall) + } + Fbdxy=Makexybdy(Np) + BORDERPT<<- list() + Tmp1=list() + for(I in Looprange(1,length(Fall))){ + Tmp1=c(Tmp1,list(c())) + } + OTHERPARTITION<<- Tmp1 + FsL=list() + BORDERHIDDENDATA<<- list() + starttime=proc.time() + for(I in Looprange(1,length(FkL))){ + Tmp=Op(I,FkL) + Tmp=Projpara(Tmp) + Par=Partitionseg(Tmp,Fall,Eps,Eps2,I) + Tmp1=Op(I,FkL) + Tmp=Nohiddenpara2(Par,Tmp1,1,Np,Eps,Eps2) + if(length(HIDDENDATA)>0){ + BORDERHIDDENDATA<<- c(BORDERHIDDENDATA,HIDDENDATA) + } + if(length(Tmp)>0){ + FsL=c(FsL,Tmp) + } + Tmp=paste('Border',formatC(I,width=2,flag="0"),'/',sep='') + Tmp=paste(Tmp,as.character(length(FkL)),' obtained : Time =',sep='') + Tmp1=proc.time()-starttime + print(paste(Tmp,sprintf("%6.3f",Tmp1[1]),sep='')) + } + return(FsL) +} + +Sfbdparadata<- function(...){ + varargin=list(...) + Nargs=length(varargin) + Fd=varargin[[1]] + FdL=Fullformfunc(Fd) + Np=c(50,50) + Eps=0.01 + Eps2=0.05 + ctr=0 + for(jj in Looprange(2,Nargs)){ + tmp=varargin[[jj]] + if((length(tmp)>1)||(tmp>1)){ + Np=tmp + if(length(Np)==1){ + Np=c(Np,Np) + } + }else{ + ctr=ctr+1 + if(ctr==1){Eps=tmp} + if(ctr==2){Eps2=tmp} + } + } + starttime=proc.time() + tmp=Evlptablepara(Np) + Zval=tmp[[1]]; Xval=tmp[[2]]; Yval=tmp[[3]] + Out3=Implicitplot(Zval,Xval,Yval) + tmp3=list() + for(jj in Looprange(1,length(Out3))){ + tmp1=Op(jj,Out3) + tmp2=c() + for(kk in Looprange(1,Length(tmp1))){ + tmp=Op(kk,tmp1) + tmp2=Appendrow(tmp2,XYZfunc(tmp[1],tmp[2])) + } + Nlist=Dropnumlistcrv(tmp2,Eps) + Nlist=Nlist[[1]] + tmp=c() + for(kk in Looprange(1,length(Nlist))){ + tmp=Appendrow(tmp,Op(Nlist[kk],tmp1)) #18.02.18 + } + if(Length(tmp)>0){ + tmp3=c(tmp3,list(tmp)) + } + } + Out3=tmp3 + IMPLICITDATA<<- Out3 + Tmp=proc.time()-starttime + print(paste('ImplicitData obtained : Time =',sprintf("%6.3f",Tmp[1]),sep='')) + starttime=proc.time() + Out4=Cuspsplitpara(Out3,Eps) + CUSPDATA<<- Out4 + CUSPPT<<- CUSPSPLITPT + Tmp=proc.time()-starttime + print(paste('CuspData obtained : Time =',sprintf("%6.3f",Tmp[1]),sep='')) + Out5=Borderparadata(Out4,Np,Eps,Eps2) + return(Out5) +} + +Meetpoints<- function(PtA,PtB,Uveq,Np,Eps){ + Eps0=10^(-4) + Vec=PtB-PtA + if(Norm(Vec)<Eps0){return(list())} #18.02.24 + Out=list() + Vec=1/Norm(Vec)*Vec + if(length(Np)==1){ + Np=c(Np,Np) + } + Tmp=paste("Eqfun<- function(U,V){",sep='') + if((abs(Vec[2])>Eps0) || (abs(Vec[1])>Eps0)){ + Vstr=sprintf("%6.6f",Vec) + Pstr=sprintf("%6.6f",PtA) + Tmp=paste(Tmp,"(",Vstr[2],")*(Xfunc(U,V)-(",Pstr[1],"))",sep='') + Tmp=paste(Tmp,"-(",Vstr[1],")*(Yfunc(U,V)-(",Pstr[2],"))}",sep='') + }else{ + Tmp=paste(Tmp,"Xfunc(U,V)}",sep='') + } + eval(parse(text=Tmp)) + Dx=(URNG[2]-URNG[1])/Np[1] + Dy=(VRNG[2]-VRNG[1])/Np[2] + for(J in Looprange(1,Np[2])){ ##### + Vval1=VRNG[1]+(J-1)*Dy + Vval2=VRNG[1]+J*Dy + for(I in Looprange(1,Np[1])){ ##### + Uval1=URNG[1]+(I-1)*Dx + Uval2=URNG[1]+I*Dx + Eval11=Eqfun(Uval1,Vval1) + Eval12=Eqfun(Uval1,Vval2) + Eval21=Eqfun(Uval2,Vval1) + Eval22=Eqfun(Uval2,Vval2) + a1=Uval1;b1=Vval1;c1=Eval11 + a2=Uval2;b2=Vval1;c2=Eval21 + a3=Uval2;b3=Vval2;c3=Eval22 + a4=Uval1;b4=Vval2;c4=Eval12 + PL=matrix(c(a1,b1,a2,b2,a3,b3,a4,b4,a1,b1),ncol=2,byrow=TRUE) + VL=c(c1,c2,c3,c4,c1) + QL=c() + for(K in 1:4){ + P1=Op(K,PL); P2=Op(K+1,PL) + M1=Op(K,VL); M2=Op(K+1,VL) + if(abs(M1)<Eps0){ + QL=Appendrow(QL,P1) + next + } + if(abs(M2)<Eps0){ +# QL=Appendrow(QL,P2) + next + } + if((M1> 0) && (M2> 0)){ + next + } + if((M1< 0) && (M2< 0)){ + next + } + Tmp=1/(M1-M2)*(-M2*P1+M1*P2) + QL=Appendrow(QL,Tmp) + } + if(Length(QL)==2){ + Puv1=Op(1,QL); Puv2=Op(2,QL) + Tmp1=Op(1,Puv1) + Tmp2=Op(2,Puv1) + Xv=Xfunc(Tmp1,Tmp2) + Yv=Yfunc(Tmp1,Tmp2) + Zv=Zfunc(Tmp1,Tmp2) + P1=c(Xv,Yv,Zv) + Tmp1=Op(1,Puv2) + Tmp2=Op(2,Puv2) + Xv=Xfunc(Tmp1,Tmp2) + Yv=Yfunc(Tmp1,Tmp2) + Zv=Zfunc(Tmp1,Tmp2) + P2=c(Xv,Yv,Zv) + V1=Vec[1]; V2=Vec[2]; V3=Vec[3] + if(abs(V1)>Eps0){ + M1=PtA[3]+V3/V1*(P1[1]-PtA[1])-P1[3] + M2=PtA[3]+V3/V1*(P2[1]-PtA[1])-P2[3] + }else if(abs(V2)>Eps0){ + M1=PtA[3]+V3/V2*(P1[2]-PtA[2])-P1[3] + M2=PtA[3]+V3/V2*(P2[2]-PtA[2])-P2[3] + }else{ + M1=PtA[2]-P1[2] + M2=PtA[2]-P2[2] + } + if(M1*M2>= 0){ #18.02.21 + if(((M1>0) && (M2>0)) || ((M1< 0) && (M2< 0))){ + next + } + if(M1==0){ + Pt=P1; Ptuv=Puv1 + }else{ + Pt=P2; Ptuv=Puv2 + } + }else{ + Pt=1/(M1-M2)*(-M2*P1+M1*P2) + Ptuv=1/(M1-M2)*(-M2*Puv1+M1*Puv2) + } + if(is.character(Uveq)){ + Tmp1=paste('(',sprintf("%6.6f",Ptuv[1]),')',sep='') + Tmp2=paste('('+sprintf("%6.6f",Ptuv[2]),')',sep='') + Tmp=gsub(UNAME,Tmp1,Uveq,fixed=TRUE) + Tmp=gsub(VNAME,Tmp2,Tmp,fixed=TRUE) + Tmp=eval(parse(text=Tmp)) + if(Tmp< -Eps0){ + next + } + } + Tmp1=Crossprod(Pt-PtA,Vec) + if(Norm(Tmp1)<Eps){ #18.02.19 + Tmp1=Dotprod(Pt-PtA,Vec) #18.02.21 + if((Tmp1>-Eps0)&&(Tmp1<Norm(PtB-PtA)+Eps0)){ + Out=c(Out,list(Pt)) + } + } + } + } + } + tmp1=Groupnearpt(Out,Eps) + Out=list() + for(jj in Looprange(1,length(tmp1))){ + tmp=Op(jj,tmp1) + tmp=c(sum(tmp[,1]),sum(tmp[,2]),sum(tmp[,3]))/Length(tmp) + Out=c(Out,list(tmp)) + } + return(Out) +} + +Clipindomain<- function(ObjL,FigL){ + Eps0=10^(-4) + Eps1=0.01 + Eps2=0.05 + Bdy=Kyoukai(FigL) + if(length(Bdy)>=2){ + Fbdy=Joincrvs(FigL) + }else{ + Fbdy=Op(1,FigL) + } + if(!is.list(ObjL)){ + ObjL=list(ObjL) + } + if(!is.list(FigL)){ + FigL=list(FigL) + } + OutL=list() + for(Nobj in Looprange(1,length(ObjL))){ + Obj=Op(Nobj,ObjL) + ParL=c(1,Length(Obj)) + Tmp=IntersectcurvesPp(Obj,Fbdy,Eps1,Eps2) + for(J in Looprange(1,length(Tmp))){ + Tmp1=Op(J,Tmp) + ParL=c(ParL,Op(2,Tmp1)) + } + ParL=sort(ParL) + Tmp=c(1) + for(I in Looprange(1,length(ParL))){ + Tmp1=Op(length(Tmp),Tmp) + Tmp2=ParL[I] + if(Tmp2-Tmp1>Eps0){ + Tmp=c(Tmp,Tmp2) + } + } + ParL=Tmp + Tmp1=Op(length(ParL),ParL) + Tmp2=Length(Obj) + if(abs(Tmp1-Tmp2)<Eps){ + ParL=c(ParL[Looprange(1,length(ParL)-1)],Tmp2) + } + Fig=list() + for(N in Looprange(1,length(ParL)-1)){ + Tmp=(ParL[N]+ParL[N+1])*0.5 + Tmp=Pointoncurve(Tmp,Obj) + Tmp=Naigai(Tmp,Bdy) + Tmp1=sum(Tmp)%%2 + if(Tmp1==0){ + next + } + Fig=c(Fig,list(Partcrv(ParL[N],ParL[N+1],Obj))) + } + OutL=c(OutL,Fig) + } + return(OutL) +} + +Crvsfparadata<- function(...){ + starttime=proc.time() + varargin=list(...) + Nargs=length(varargin) + Sepflg=0 + Tmp=varargin[[Nargs]] + if((is.numeric(Tmp))&&(Tmp<=0)){ + Sepflg=1 + Nargs=Nargs-1 + } + Fk=varargin[[1]] + if(!is.list(Fk)){ + FkL=list(Fk) + }else{ + FkL=Fk + } + Fbdy=Projpara(varargin[[2]]) + Fd=varargin[[3]]; + Fullformfunc(Fd) #18.02.17 + Np=c(50,50) + Eps=0.01 + Eps2=0.05 + ctr=0 + for(jj in Looprange(4,Nargs)){ + tmp=varargin[[jj]] + if((length(tmp)>1)||(tmp>1)){ + Np=tmp + if(length(Np)==1){ + Np=c(Np,Np) + } + }else{ + ctr=ctr+1 + if(ctr==1){Eps=tmp} + if(ctr==2){Eps2=tmp} + } + } + Out=list() + CRVSFHIDDENDATA<<- list() + for(Nn in Looprange(1,length(FkL))){ + Fk=Op(Nn,FkL) + Tmp=Projpara(Fk) + Par=Partitionseg(Tmp,Fbdy,Eps,Eps2,0) + if(Sepflg==0){ + for(I in Looprange(1,Length(Fk)-1)){ + Pa=Op(I,Fk) + Pb=Op(I+1,Fk) + PtL=Meetpoints(Pa,Pb,1,Np,Eps) + for(J in Looprange(1,Length(PtL))){ + Tmp=Op(J,PtL) + Tmp=Parapt(Tmp) + Tmp1=Paramoncurve(Tmp,I,Projpara(Fk)) + Tmp2=min(abs(Par-Tmp1)) + if(Tmp2*Norm(Parapt(Pb-Pa))>Eps) { + Par=c(Par,Tmp1) + } + } + Par=sort(Par) + } + } + for(jj in Looprange(1,length(ADDPOINT))){ #18.02.19from + tmp=Parapt(Op(jj,ADDPOINT)) + tmp=Nearestpt(tmp,Projpara(Fk)) + if(tmp[[3]]<Eps){ + Par=c(Par,tmp[[2]]) + } + } #18.02.19upto + tmp1=sort(Par) + Par=c() + tmp2=-1 + for(jj in Looprange(1,length(tmp1))){ + tmp=Op(jj,tmp1) + if(abs(tmp-tmp2)>Eps){ + Par=c(Par,tmp) + tmp2=tmp + } + } + Tmp1=Nohiddenpara2(Par,Fk,1,Np,Eps,Eps2) + Out=c(Out,Tmp1) + CRVSFHIDDENDATA<<- c(CRVSFHIDDENDATA,HIDDENDATA) + Tmp=paste('Crvsfdata',formatC(Nn,width=2,flag="0"),'/',sep='') + Tmp=paste(Tmp,as.character(length(FkL)),' obtained : Time =',sep='') + Tmp1=proc.time()-starttime + print(paste(Tmp,sprintf("%6.3f",Tmp1[1]),sep='')) + } + return(Out) +} + +Crv3onsfparadata<- function(...){ + starttime=proc.time() + varargin=list(...) + Nargs=length(varargin) + Fk=varargin[[1]] + if(!is.list(Fk)){ + FkL=list(Fk) + }else{ + FkL=Fk + } + Fbdy=Projpara(varargin[[2]]) + Fd=varargin[[3]] + Fullformfunc(Fd) #18.02.17 + Np=c(50,50) + Eps=0.01 + Eps2=0.05 + ctr=0 + for(jj in Looprange(4,Nargs)){ + tmp=varargin[[jj]] + if((length(tmp)>1)||(tmp>1)){ + Np=tmp + if(length(Np)==1){ + Np=c(Np,Np) + } + }else{ + ctr=ctr+1 + if(ctr==1){Eps=tmp} + if(ctr==2){Eps2=tmp} + } + } + Out=list() + CRVONSFHIDDENDATA<<- list() + for(Nn in Looprange(1,length(FkL))){ + Fk=Op(Nn,FkL) + Tmp=Projpara(Fk) + Par=Partitionseg(Tmp,Fbdy,Eps,Eps2,0) + for(jj in Looprange(1,length(ADDPOINT))){ + tmp=Parapt(Op(jj,ADDPOINT)) + tmp=Nearestpt(tmp,Projpara(Fk)) + if(tmp[[3]]<Eps){ + Par=c(Par,tmp[[2]]) + } + } + Par=sort(Par) + Tmp1=Nohiddenpara2(Par,Fk,1,Np,Eps,Eps2) + Out=c(Out,Tmp1) + CRVONSFHIDDENDATA<<- c(CRVONSFHIDDENDATA,HIDDENDATA) + Tmp=paste('Crvonsfdata',formatC(Nn,width=2,flag="0"),'/',sep='') + Tmp=paste(Tmp,as.character(length(FkL)),' obtained : Time =',sep='') + Tmp1=proc.time()-starttime + print(paste(Tmp,sprintf("%6.3f",Tmp1[1]),sep='')) + } + return(Out) +} + +Crvonsfparadata<- function(...){ + starttime=proc.time() + varargin=list(...) + Nargs=length(varargin) + Fuv=varargin[[1]] + Fbdy3=varargin[[2]] + Fd=varargin[[3]] + Fullformfunc(Fd) + if(!is.list(Fuv)){ + Fuv=list(Fuv) + } + FkL=list() + for(jj in Looprange(1,length(Fuv))){ + tmp1=Op(jj,Fuv) + tmp2=c() + for(kk in Looprange(1,Length(tmp1))){ + tmp=Op(kk,tmp1) + tmp2=Appendrow(tmp2,XYZfunc(tmp[1],tmp[2])) + } + FkL=c(FkL,list(tmp2)) + } + Np=c(50,50) + Eps=0.01 + Eps2=0.05 + ctr=0 + for(jj in Looprange(4,Nargs)){ + tmp=varargin[[jj]] + if((length(tmp)>1)||(tmp>1)){ + Np=tmp + if(length(Np)==1){ + Np=c(Np,Np) + } + }else{ + ctr=ctr+1 + if(ctr==1){Eps=tmp} + if(ctr==2){Eps2=tmp} + } + } + Out=Crv3onsfparadata(FkL,Fbdy3,Fd,Np,Eps,Eps2) + return(Out) +} + +Wireparadata<- function(...){ + starttime=proc.time() + varargin=list(...) + Nargs=length(varargin) + Fbdy3=varargin[[1]] + Fd=varargin[[2]] + FdL=Fullformfunc(Fd) + DuL=varargin[[3]] + DvL=varargin[[4]] + Np=c(50,50) + Eps=0.01 + Eps2=0.05 + ctr=0 + for(jj in Looprange(5,Nargs)){ + tmp=varargin[[jj]] + if((length(tmp)>1)||(tmp>1)){ + Np=tmp + if(length(Np)==1){ + Np=c(Np,Np) + } + }else{ + ctr=ctr+1 + if(ctr==1){Eps=tmp} + if(ctr==2){Eps2=tmp} + } + } + if(is.numeric(DuL)){ + tmp1=DuL + DuL=list() + for(jj in Looprange(1,tmp1)){ + tmp=jj*(URNG[2]-URNG[1])/(tmp1+1) + DuL=c(DuL,list(tmp)) + } + } + if(is.numeric(DvL)){ + tmp1=DvL + DvL=list() + for(jj in Looprange(1,tmp1)){ + tmp=jj*(VRNG[2]-VRNG[1])/(tmp1+1) + DvL=c(DvL,list(tmp)) + } + } + Fuv=list() + for(jj in Looprange(1,length(DuL))){ + tmp1=paste("c(",as.character(Op(jj,DuL)),",",VNAME,")",sep="") + tmp2=paste("N=",as.character(Np[2]),sep="") + tmp1=Paramplot(tmp1,Op(6,FdL),tmp2) + tmp2=c() + for(kk in Looprange(1,Length(tmp1))){ + tmp=Op(kk,tmp1) + tmp2=Appendrow(tmp2,tmp) + } + Fuv=c(Fuv,list(tmp2)) + } + FkL=list() + for(jj in Looprange(1,length(Fuv))){ + tmp1=Op(jj,Fuv) + tmp2=c() + for(kk in Looprange(1,Length(tmp1))){ + tmp=Op(kk,tmp1) + tmp2=Appendrow(tmp2,XYZfunc(tmp[1],tmp[2])) + } + FkL=c(FkL,list(tmp2)) + } + Tmp1=proc.time()-starttime + cat(UNAME,"direction started","\n") + Out1=Crv3onsfparadata(FkL,Fbdy3,Fd,Np,Eps,Eps2) + WIREHIDDENDATA<<- CRVONSFHIDDENDATA + Fuv=list() + for(jj in Looprange(1,length(DvL))){ + tmp1=paste("c(",UNAME,",",as.character(Op(jj,DvL)),")",sep="") + tmp2=paste("N=",as.character(Np[2]),sep="") + tmp1=Paramplot(tmp1,Op(5,FdL),tmp2) + tmp2=c() + for(kk in Looprange(1,Length(tmp1))){ + tmp=Op(kk,tmp1) + tmp2=Appendrow(tmp2,tmp) + } + Fuv=c(Fuv,list(tmp2)) + } + FkL=list() + for(jj in Looprange(1,length(Fuv))){ + tmp1=Op(jj,Fuv) + tmp2=c() + for(kk in Looprange(1,Length(tmp1))){ + tmp=Op(kk,tmp1) + tmp2=Appendrow(tmp2,XYZfunc(tmp[1],tmp[2])) + } + FkL=c(FkL,list(tmp2)) + } + cat(VNAME,"direction started","\n") + Out2=Crv3onsfparadata(FkL,Fbdy3,Fd,Np,Eps,Eps2) + WIREHIDDENDATA<<- c(WIREHIDDENDATA, CRVONSFHIDDENDATA) + Out=c(Out1,Out2) + return(Out) +} + +Intersectcrvsf<- function(...){ + # bdyeq is the equation of boundary f(x,y,z) =0 + starttime=proc.time() + varargin=list(...) + Nargs=length(varargin) + crv=varargin[[1]] + Fd=varargin[[2]] + Fullformfunc(Fd) + bdyflg=0 + bdyeq=varargin[[Nargs]] + if(is.character(bdyeq)){ + Nargs=Nargs-1 + bdyflg=1 + tmp=strsplit(bdyeq,"=",fixed=TRUE) + tmp=tmp[[1]] + if(length(tmp)>1){ + bdyeq=paste("(",tmp[1],")-(",tmp[2],")",sep="") + } + tmp=paste("bdyeq<- function(P){x=P[1];y=P[2];z=P[3];",bdyeq,"}",sep="") + eval(parse(text=tmp)) + } + Eps0=10^(-4) + Np=c(50,50) + Eps=0.01 + Eps2=0.05 + ctr=0 + for(jj in Looprange(3,Nargs)){ + tmp=varargin[[jj]] + if((length(tmp)>1)||(tmp>1)){ + Np=tmp + if(length(Np)==1){ + Np=c(Np,Np) + } + }else{ + ctr=ctr+1 + if(ctr==1){Eps=tmp} + if(ctr==2){Eps2=tmp} + } + } + PtL=list() + for(I in Looprange(1,Length(crv)-1)){ + Pa=Op(I,crv) + Pb=Op(I+1,crv) + if(bdyflg==0){ + tmp=Meetpoints(Pa,Pb,1,Np,Eps) + }else{ + M1=bdyeq(Pa); M2=bdyeq(Pb) + if(M1*M2>= 0){ #18.02.21 + if(((M1>0) && (M2>0)) || ((M1< 0) && (M2< 0))){ + next + } + if(M1==0){ + tmp=list(Pa) + }else{ + tmp=list(Pb) + } + }else{ + while(Norm(Pb-Pa)>Eps0){ + if(bdyeq(Pa)==0){ + tmp=list(Pa) + break + } + if(bdyeq(Pa)*bdyeq((Pa+Pb)/2)>0){ + Pa=(Pa+Pb)/2 + }else{ + Pb=(Pa+Pb)/2 + } + } + tmp=list(1/(M1-M2)*(-M2*Pa+M1*Pb)) + } + } + PtL=c(PtL,tmp) + } + Tmp=paste('Intersectcrvsf obtained : Time =',sep='') + Tmp1=proc.time()-starttime + print(paste(Tmp,sprintf("%6.3f",Tmp1[1]),sep='')) + return(PtL) +} + +Sfcutparadata<- function(...){ + varargin=list(...) + Nargs=length(varargin) + CutD=varargin[[1]] + Fbdy3=varargin[[2]] + Fd=varargin[[3]] + FdL=Fullformfunc(Fd) + Np=c(50,50) + Eps0=10^(-4) + Eps=0.01 + Eps2=0.05 + ctr=0 + for(jj in Looprange(4,Nargs)){ + Tmp=varargin[[jj]] + if((length(Tmp)>1)||(Tmp>1)){ + Np=Tmp + if(length(Np)==1){ + Np=c(Np,Np) + } + }else{ + ctr=ctr+1 + if(ctr==1){Eps=Tmp} + if(ctr==2){Eps2=Tmp} + } + } + starttime=proc.time() + Tmp=strsplit(CutD,'=') + Tmp=Tmp[[1]] + if(length(Tmp)==1){ + Eq=CutD + }else{ + Eq=paste("(",Tmp[1],")-(",Tmp[2],")",sep="") + } + Eq=gsub("x","Xfunc(U,V)",Eq,fixed=TRUE) + Eq=gsub("y","Yfunc(U,V)",Eq,fixed=TRUE) + Eq=gsub("z","Zfunc(U,V)",Eq,fixed=TRUE) + Tmp=paste("Eqfun<<- function(U,V){",Eq,"}",sep="") ######## + eval(parse(text=Tmp)) + Du=(URNG[2]-URNG[1])/Np[1] + Dv=(VRNG[2]-VRNG[1])/Np[2] + Out=list();Out2=list() + for(J in Looprange(1,Np[2])){ ##### + Vval1=VRNG[1]+(J-1)*Dv + Vval2=VRNG[1]+J*Dv + for(I in Looprange(1,Np[1])){ ##### + Uval1=URNG[1]+(I-1)*Du + Uval2=URNG[1]+I*Du + Eval11=Eqfun(Uval1,Vval1) + Eval12=Eqfun(Uval1,Vval2) + Eval21=Eqfun(Uval2,Vval1) + Eval22=Eqfun(Uval2,Vval2) + a1=Uval1;b1=Vval1;c1=Eval11 + a2=Uval2;b2=Vval1;c2=Eval21 + a3=Uval2;b3=Vval2;c3=Eval22 + a4=Uval1;b4=Vval2;c4=Eval12 + PL=matrix(c(a1,b1,a2,b2,a3,b3,a4,b4,a1,b1),ncol=2,byrow=TRUE) + VL=c(c1,c2,c3,c4,c1) + QL=c() + for(K in 1:4){ + P1=Op(K,PL); P2=Op(K+1,PL) + M1=Op(K,VL); M2=Op(K+1,VL) + if(abs(M1)<Eps0){ + QL=Appendrow(QL,P1) + next + } + if(abs(M2)<Eps0){ +# QL=Appendrow(QL,P2) + next + } + if((M1> 0) && (M2> 0)){ + next + } + if((M1< 0) && (M2< 0)){ + next + } + Tmp=1/(M1-M2)*(-M2*P1+M1*P2) + QL=Appendrow(QL,Tmp) + } + if(Length(QL)==2){ + q11=QL[1,1];q12=QL[1,2];q21=QL[2,1];q22=QL[2,2] + if(((q11==a1)&&(q21==a1))||((q11==a3)&&(q21==a3))){ + if(((q21==b1)&&(q22==b1))||((q21==b3)&&(q22==b3))){ + Out2=c(Out2,list(QL)) + }else{ + Out=c(Out,list(QL)) + } + next + } + if(((q12==b1)&&(q22==b1))||((q12==b3)&&(q22==b3))){ + if(((q11==a1)&&(q21==a1))||((q11==a3)&&(q21==a3))){ + Out2=c(Out2,list(QL)) + }else{ + Out=c(Out,list(QL)) + } + next + } + Out=c(Out,list(QL)) + } + } + } + while(length(Out2)>0){ + tmp1=Out2[[1]] + Out=c(Out,list(tmp1)) + Out2=Out2[-1] + rmv=c() + for(jj in Looprange(1,length(Out2))){ + tmp2=Out2[[jj]] + diff1=Norm(tmp2[1,]-tmp1[1,])+Norm(tmp2[2,]-tmp1[2,]) + diff2=Norm(tmp2[1,]-tmp1[2,])+Norm(tmp2[2,]-tmp1[1,]) + if((diff1<Eps0)||(diff2<Eps0)){ + rmv=c(rmv,jj) + next + } + } + Out2=Out2[-rmv] + } + Out=Connectseg(Out,Eps) + Tmp1=Out + Out=list() + for(ii in Looprange(1,length(Tmp1))){ + Tmp2=Op(ii,Tmp1) + Tmp3=c() + for(jj in Looprange(1,Length(Tmp2))){ + Tmp=Op(jj,Tmp2) + Tmp=XYZfunc(Tmp[1],Tmp[2]) + if(Length(Tmp3)>0){ + if(Norm(Op(Length(Tmp3),Tmp3)-Tmp)<Eps){next} + } + Tmp3=Appendrow(Tmp3,Tmp) + } + Out=c(Out,list(Tmp3)) + } + Out=Crv3onsfparadata(Out,Fbdy3,Fd,Np,Eps,Eps2) + return(Out) +} diff --git a/Master/texmf-dist/scripts/ketcindy/ketlib/ketpicR/ketpic5_2_4_rep2e.r b/Master/texmf-dist/scripts/ketcindy/ketlib/ketpicR/ketpic5_2_4_rep2e.r new file mode 100644 index 00000000000..370339480ae --- /dev/null +++ b/Master/texmf-dist/scripts/ketcindy/ketlib/ketpicR/ketpic5_2_4_rep2e.r @@ -0,0 +1,580 @@ +# Copyright (C) 2014 Setsuo Takato, KETCindy Japan project team +# +#This program is free software: you can redistribute it and/or modify +# it under the terms of the GNU General Public License as published by +# the Free Software Foundation; either version 3 of the License, or +# (at your option) any later version. +# +# This program is distributed in the hope that it will be useful, +# but WITHOUT ANY WARRANTY; without even the implied warranty of +# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the +# GNU General Public License for more details. +# +# You should have received a copy of the GNU General Public License +# along with this program. If not, see <http://www.gnu.org/licenses/> + + +######################################### + +ThisVersion<- "2ev5_2_3(17.10.28)" + +# 2017.10.28 +# Drwpt debugged ( Flattenlist ) +# 2017.10.07 +# + +############################################# + +Dottedline<- function(...) +{ + varargin <- list(...) + Nall <- length(varargin) + Nagasa <- 0.1 + Ookisa <- PenThick*2 #17.10.07 + I <- Nall + Tmp <- varargin[[I]] + while (mode(Tmp)=="numeric" && length(Tmp)==1 ) { + I <- I-1 + Tmp <- varargin[[I]] + } + if (I==Nall-1) { + Nagasa<-Nagasa*varargin[[Nall]] + Nall <- Nall-1 + } + if (I==Nall-2) { + Nagasa <- Nagasa*varargin[[Nall-1]] + Ookisa <- round(Ookisa*varargin[[Nall]]) + Nall <- Nall-2 + } + Nagasa <- 1000/2.54/MilliIn*Nagasa + Ra=Ookisa/MilliIn + for (N in 1:Nall) { + Pdata <- varargin[[N]] + if (mode(Pdata)=="numeric") { + Pdata <- list(Pdata) + } + for (II in 1:length(Pdata)) { + Clist <- MakeCurves(Op(II,Pdata)) + DinM <- Dataindex(Clist) + Mojisu=0 + for (n in Looprange(1,Nrow(DinM))) { + Tmp <- DinM[n,] + Data <- Clist[Tmp[1]:Tmp[2],] + Len <- 0 + Lenlist <- c(0) + for (I in Looprange(2,Nrow(Data))) { + Len <- Len+Norm(Data[I,]-Data[I-1,]) + Lenlist <- c(Lenlist,Len) + } + Lenall <- Lenlist[length(Lenlist)] + if (Lenall==0) { + next + } + Naga <- Nagasa + Nten <- round(Lenall/Naga)+1 + if (Nten > 1) { + Seg <- Lenall/(Nten-1) + } + else { + Seg <- Lenall + } + Eps <- 10^(-6)*Seg + PPd<-c() + Hajime <- 1 + for (I in Looprange(0,Nten-1)) { + Len <- Seg*I + if (I>0) { + J <- Hajime + while( Len>=Lenlist[J]+Eps) { + J <- J+1 + } + Hajime <- J-1 + } + T <- (Len-Lenlist[Hajime])/ + (Lenlist[Hajime+1]-Lenlist[Hajime]) + P <- Data[Hajime,]+T*(Data[Hajime+1,]-Data[Hajime,]) + PPd<-Appendrow(PPd,P) + if (I==Nten-1) { + if (Norm(P-Data[1,])<Eps) { + next + } + } + } + for (I in Looprange(1,Nrow(PPd))){ + P<- Op(I,PPd) + if (Nrow(PPd)==1){ + V<- c(1,0) + } + else if (I==1){ + Tmp<- Op(I+1,PPd)-P + V<- 1/Norm(Tmp)*Tmp + } + else if (I==Nrow(PPd)){ + Tmp<- P-Op(I-1,PPd) + V<- 1/Norm(Tmp)*Tmp + } + else{ + Tmp1<- Op(I+1,PPd)-P + Tmp2<- P-Op(I-1,PPd) + Tmp3<-1/Norm(Tmp1)*Tmp1+1/Norm(Tmp2)*Tmp2 + V<- 1/Norm(Tmp3)*Tmp3 + } + X=sprintf('%5.5f',P[1]) + Y=sprintf('%5.5f',P[2]) + Str=paste('\\put(',X,',',Y,'){\\circle*{',sprintf('%6.6f',Ra),'}}',sep="") + cat(Str,file=Wfile,append=TRUE) + Mojisu=Mojisu+nchar(Str) + if(Mojisu>80){ + cat("\n",file=Wfile,append=TRUE) + Mojisu=0 + } + } + } + } + if(Mojisu>0){ + cat("\n",file=Wfile,append=TRUE) + } + } + Tmp<-PenThick/PenThickInit + Setpen(Tmp) +} + + +########################################### + +Drwline<-function(...) +{ + varargin<-list(...) + Nall<-length(varargin) + Thick<-0 + Tmp<-varargin[[Nall]] + if (mode(Tmp)=="numeric" && length(Tmp)==1){ + Setpen(Tmp) + Nall<-Nall-1 + } + for (N in 1:Nall){ + Pdata<-varargin[[N]] + if (length(Pdata)==0) next + if (mode(Pdata)!="list") Pdata<-list(Pdata) + while(Mixtype(Pdata)==3){ + Tmp1<- list() + for(II in Looprange(1,length(Pdata))){ + Tmp1<- Mixjoin(Tmp1,Pdata[[II]]) + } + Pdata<- Tmp1 + } + for (II in Looprange(1,length(Pdata))){ + Clist<-MakeCurves(Pdata[[II]]) + DinM<-Dataindex(Clist) + for (n in Looprange(1,Nrow(DinM))){ + Tmp<-DinM[n,] + Data<-Clist[Tmp[1]:Tmp[2],] + Mojisu<-0 + for (I in Looprange(1,Nrow(Data))){ + Tmp<-Data[I,] + X=sprintf('%5.5f',Tmp[1]) + Y=sprintf('%5.5f',Tmp[2]) + Pt=paste('(',X,',',Y,')',sep="") + if(I==1){ + Str=paste('\\polyline',Pt,sep="") + }else{ + Str=Pt + } + cat(Str,file=Wfile,append=TRUE) + Mojisu<-Mojisu+nchar(Str) + if (Mojisu>80){ + cat("%\n",file=Wfile,append=TRUE) + Mojisu<-0 + } + } + if (Mojisu!=0){ + cat("%\n",file=Wfile,append=TRUE) + } + cat("%\n",file=Wfile,append=TRUE) + } + } + } + if (Thick>0){ + Tmp<-PenThick/PenThickInit + Setpen(Tmp) + } +} + +########################################### + +Drwpt<-function(...) +{ + varargin<-list(...) + Nargs<-length(varargin) + All=Nargs + if (TenSize>TenSizeInit){ + N<- round(6*sqrt(TenSize/TenSizeInit)) + } + else{ + N<-4 + } + Tmp<- varargin[[All]] + Iro=c(0,0,0,1) + Iroflg=0 + if(is.character(Tmp)){ + Iro=Ratiocmyk(Tmp) + Iroflg=1 + All=All-1 + } + Tmp<- varargin[[All]] + if (mode(Tmp)=="numeric"){ + if (length(Tmp)>1){ + Kosa<- 1; All<- Nargs + } + else{ + Kosa<- Tmp; All<- All-1 + } + } + else if (mode(Tmp)=="list"){ + Kosa<- 1; All<- Nargs + } + Ra=TenSize*1000/2.54/MilliIn + if(Iroflg>0){ + Str='{\\color[cmyk]{' + for(J in 1:4){ + Str=paste(Str,as.character(Kosa*Iro[J]),sep="") + if(J<4){ + Str=paste(Str,',',sep="") + } + } + Str=paste(Str,'}%',sep="") + cat(Str,file=Wfile,append=TRUE) + } + +# CL<-c() +# for (J in 0:N){ +# Tmp<- TenSize*0.5*1000/2.54/MilliIn +# Tmp<- Tmp*c(cos(pi/4+J*2*pi/N),sin(pi/4+J*2*pi/N)) +# CL<- append(CL,Tmp) +# } +# CL<- matrix(CL,nrow=2) +# CL<- t(CL) + Mojisu=0 + for (II in Looprange(1,All)){ + MS<- varargin[[II]] + MS=Flattenlist(MS) #17.10.28 + if (mode(MS)=="numeric"){ + MS<- list(MS) + } + for (I in Looprange(1,length(MS))){ + P<- MS[[I]] + if (InWindow(P)!="i") next + P<- Doscaling(P) + X=sprintf('%5.5f',P[1]) + Y=sprintf('%5.5f',P[2]) + Str=paste('\\put(',X,',',Y,'){\\circle*{',sprintf('%6.6f',Ra),'}}',sep="") + cat(Str,file=Wfile,append=TRUE) + Mojisu=Mojisu+nchar(Str) + if(Mojisu>80){ + cat("\n",file=Wfile,append=TRUE) + Mojisu=0 + } + } + } + Str="%" + if(Iroflg>0){ + Str='}%' + } + if(Mojisu>0){ + Str=paste('\n',Str,'\n',sep="") + }else{ + Fmt=paste(Str,'\n',sep="") + } + cat(Str,file=Wfile,append=TRUE) +} + +# PL<-c() +# for (J in 0:N){ +# PL<- c(PL,P+CL[J+1,]) +# } +# PL<-matrix(PL,nrow=2) +# PL<-t(PL) +# Mojisu<-0 +# for (J in 1:Nrow(PL)){ +# Q<- PL[J,] +# X<- as.character(round(MilliIn*Q[1])) +# Y<- as.character(-round(MilliIn*Q[2])) +# Str<- paste("\\special{pa ",X," ",Y,"}",sep="") +# cat(Str,file=Wfile,append=TRUE) +# Mojisu<- Mojisu+nchar(Str) +# if (Mojisu>80){ +# cat("#\n",file=Wfile,append=TRUE) +# } +# Mojisu=0 +# } +# Str1<- paste("\\special{sh ",as.character(Kosa),"}",sep="") +# Str2<- "\\special{fp}%\n" +# cat(Str1,file=Wfile,append=TRUE) +# cat(Str2,file=Wfile,append=TRUE) +# } +# } +#} + +###################################### + +Makehasen<- function(Figdata,Sen,Gap,Ptn) +{ + Eps<- 10.0^(-6) + Clist<- MakeCurves(Figdata) + DinM<- Dataindex(Clist) + for (N in Looprange(1,Nrow(DinM))){ + Tmp<- DinM[N,] + Data<- Clist[Tmp[1]:Tmp[2],] + Dtall<- Nrow(Data) + Len<- 0 + Lenlist<- c(0) + for (I in Looprange(2,Dtall)){ + Len<- Len+Norm(Data[I,]-Data[I-1,]) + Lenlist<- c(Lenlist,Len) + } + Lenall<- Lenlist[Dtall] + if (Lenall==0){ + next + } + Kari<- (Sen+Gap)*0.1 + Naga<- Sen*0.1 + Tobi<- Gap*0.1 + if (Norm(Data[1,]-Data[Dtall,])<Eps){ + Nsen<- max(ceiling(Lenall/Kari),3) + SegUnit<- Lenall/Nsen + Naga<- SegUnit*Sen/(Sen+Gap) + Tobi<- SegUnit*Gap/(Sen+Gap) + SegList<- c(seq(0,(Nsen-1)*SegUnit,by=SegUnit)) + } + else{ + if (Ptn==0){ + Nsen<- max(ceiling((Lenall+Tobi)/Kari),3) + SegUnit<- Lenall*(Sen+Gap)/(Nsen*Sen+(Nsen-1)*Gap) + Naga<- SegUnit*Sen/(Sen+Gap) + Tobi<- SegUnit*Gap/(Sen+Gap) + SegList<- c(seq(0,(Nsen-1)*SegUnit,by=SegUnit)) + } + else{ + Nsen<- max(ceiling((Lenall+Naga)/Kari),3) + SegUnit<- Lenall*(Sen+Gap)/((Nsen-1)*Sen+Nsen*Gap) + Naga<- SegUnit*Sen/(Sen+Gap) + Tobi<- SegUnit*Gap/(Sen+Gap) + SegList<- c(seq(Tobi,Tobi+(Nsen-2)*SegUnit,by=SegUnit)) + } + } + Hajime<- 1; Owari<- 1 + Mojisu<- 0 + for (I in Looprange(1,length(SegList))){ + Len<- SegList[I] + J<- Owari + while (Len>=Lenlist[J]-Eps){ + if (J==Dtall){ + break + } + J<- J+1 + } + Hajime<- J-1 + J<- Hajime + while (Len+Naga>Lenlist[J]-Eps){ + if (J==Dtall){ + break + } + J<- J+1 + } + Owari<- J-1 + T<- (Len-Lenlist[Hajime]) + T<- T/(Lenlist[Hajime+1]-Lenlist[Hajime]) + P<- Data[Hajime,]+T*(Data[Hajime+1,]-Data[Hajime,]) + X0=sprintf('%5.5f',P[1]) + Y0=sprintf('%5.5f',P[2]) + Pt0=paste('(',X0,',',Y0,')',sep="") + Str=paste('\\polyline',Pt0,sep="") + cat(Str,file=Wfile,append=TRUE) + Mojisu<- Mojisu+nchar(Str) + for (J in Looprange(Hajime+1,Owari)){ + P=Data[J,] + X=sprintf('%5.5f',P[1]) + Y=sprintf('%5.5f',P[2]) + Pt=paste('(',X,',',Y,')',sep="") + Str=Pt + cat(Str,file=Wfile,append=TRUE) + Pt0=Pt + Mojisu=Mojisu+nchar(Str) + } + T<- (Len+Naga-Lenlist[Owari]) + T<- T/(Lenlist[Owari+1]-Lenlist[Owari]) + P<- Data[Owari,]+T*(Data[Owari+1,]-Data[Owari,]) + X=sprintf('%5.5f',P[1]) + Y=sprintf('%5.5f',P[2]) + Pt=paste('(',X,',',Y,')',sep="") + Str=Pt + cat(Str,file=Wfile,append=TRUE) + Mojisu<- Mojisu+nchar(Str) + if (Mojisu>80){ + cat("%\n",file=Wfile,append=TRUE) + Mojisu<- 0 + } + } + } + cat("%\n%\n",file=Wfile,append=TRUE); +} + +######################################### + +Beginpicture<-function(ul) +{ ## Scaling is implemented + Tmp<- Doscaling(c(XMIN,YMIN)) + Xm<- Tmp[1] + Ym<- Tmp[2] + Tmp<- Doscaling(c(XMAX,YMAX)) + XM<- Tmp[1] + YM<- Tmp[2] + Dx<- XM-Xm + Dy<- YM-Ym + Sym<-".0123456789 +-*/" + SL<-Sym + OL<-"+-*/" + if (ul!=""){ + ULEN<<-ul; + } + Is<-1; + VL<-""; + Ucode<-ULEN + for (I in Looprange(1,nchar(Ucode))){ + C<-substring(Ucode,I,I); + if (length(grep(C,SL,fixed=TRUE))>0){ + if (length(grep(C,OL,fixed=TRUE))>0){ + Tmp<-substring(Ucode,Is,I-1); + Str<-paste(VL,Tmp,C,sep="") + VL<-Str + Is<-I+1; + } + } + else{ + Unit<-substring(Ucode,I,I+1); + Str<-substring(Ucode,Is,I-1); + VL<-paste(VL,Str,sep="") + break; + } + } + Valu<-eval(parse(text=VL)); + Str<-as.character(Valu); + ULEN<<- paste(Str,Unit,sep=""); + if (Unit=="cm") MilliIn<<-1000/2.54*Valu + if (Unit=="mm") MilliIn<<-1000/2.54*Valu/10 + if (Unit=="in") MilliIn<<-1000*Valu + if (Unit=="pt") MilliIn<<-1000/72.27*Valu + if (Unit=="pc") MilliIn<<-1000/6.022*Valu + if (Unit=="bp") MilliIn<<-1000/72*Valu + if (Unit=="dd2") MilliIn<<-1000/1238/1157/72.27*Valu + if (Unit=="cc") MilliIn<<-1000/1238/1157/72.27*12*Valu; + if (Unit=="sp") MilliIn<<-1000/72.27/65536*Valu/10 + MARKLEN<<- MARKLENNow*1000/2.54/MilliIn; + Str<-paste("{\\unitlength=",ULEN,"%\n",sep=""); + cat(Str,file=Wfile,append=TRUE); + cat("\\begin{picture}%\n",file=Wfile,append=TRUE); + Str<-"("; + Tmp<-as.character(round(Dx,digits=6)); + Str<-paste(Str,Tmp,",",sep=""); + Tmp<-as.character(round(Dy,digits=6)); + Str<-paste(Str,Tmp,")(",sep=""); + Tmp<-as.character(round(Xm,digits=6)); + Str<-paste(Str,Tmp,",",sep=""); + Tmp<-as.character(round(Ym,digits=6)); + Str<-paste(Str,Tmp,")%\n",sep=""); + cat(Str,file=Wfile,append=TRUE); + Str=paste('\\linethickness{',as.character(PenThickInit/1000),'in}%',sep="") + cat(Str,file=Wfile,append=TRUE) + cat("%\n",file=Wfile,append=TRUE) +} + +######################################### + +Setpen<-function(Width) +{ + PenThick<<-round(PenThickInit*Width) + Str=paste('\\linethickness{',as.character(PenThick/1000),'in}%',sep="") + cat(Str,file=Wfile,append=TRUE) + cat("%\n",file=Wfile,append=TRUE) +} + +######################################### + +Shade<- function(...) +{ ## Scaling is implemented + varargin<- list(...) + Nargs<- length(varargin) + Iroflg=0 + if(Nargs>1){ + Iro=varargin[[Nargs]] + if(is.character(Iro)){ + Iroflg=1 + if(length(grep("{",Iro,fixed=TRUE))>0){ + Str=paste("{\\color",Iro,sep="") + } + else{ + Str=paste("{\\color{",Iro,"}",sep="") + } + } + else{ + if(length(Iro)==1){ + Kosa=Iro + } + else{ + Iroflg=1 + if(length(Iro)==4){ + Str="{\\color[cmyk]{" + } + else{ + if(length(Iro)==3){ + Str="{\\color[rgb]{" + } + } + for(J in 1:length(Iro)){ + Str=paste(Str,as.character(Iro[J]),sep="") + if(J<length(Iro)){ + Str=paste(Str,",") + } + } + Str=paste(Str,"}") + } + } + if(Iroflg==1){ + Str=paste(Str,"%\n",sep="") + cat(Str,file=Wfile,append=TRUE) + } + } + Mojisu=0 + Tmp=varargin[[1]] + Data=Kyoukai(Tmp) + for (I in Looprange(1, length(Data))){ + PL<- Op(I,Data) + Mojisu<- 0 + for (J in 1:Nrow(PL)){ + P<- Doscaling(Op(J,PL)) + X=sprintf('%5.5f',P[1]) + Y=sprintf('%5.5f',P[2]) + Pt=paste('(',X,',',Y,')',sep="") + if(J==1){ + Str=paste('\\polygon*',Pt,sep="") + }else{ + Str=Pt + } + cat(Str,file=Wfile,append=TRUE) + Mojisu<- Mojisu+nchar(Str) + if (Mojisu>80){ + cat("%\n",file=Wfile,append=TRUE) + Mojisu<- 0 + } + } + } + if(Iroflg==1){ + Str='}%' + if(Mojisu>0){ + Str=paste('\n',Str,'\n',sep="") + }else{ + Str=paste(Str,'\n') + } + cat(Str,file=Wfile,append=TRUE) + } +} diff --git a/Master/texmf-dist/scripts/ketcindy/ketlib/ketpiccurrent.r b/Master/texmf-dist/scripts/ketcindy/ketlib/ketpiccurrent.r new file mode 100644 index 00000000000..dc54682b443 --- /dev/null +++ b/Master/texmf-dist/scripts/ketcindy/ketlib/ketpiccurrent.r @@ -0,0 +1,14614 @@ +# Copyright (C) 2014 Setsuo Takato, KETCindy Japan project team +# +#This program is free software: you can redistribute it and/or modify +# it under the terms of the GNU General Public License as published by +# the Free Software Foundation; either version 3 of the License, or +# (at your option) any later version. +# +# This program is distributed in the hope that it will be useful, +# but WITHOUT ANY WARRANTY; without even the implied warranty of +# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the +# GNU General Public License for more details. +# +# You should have received a copy of the GNU General Public License +# along with this program. If not, see <http://www.gnu.org/licenses/> + + +######################################### + +ThisVersion<- "KeTpic for R v5_2_4(20180327)" + +print(ThisVersion) + +# 20180402 +# Implicitplot greatly changed +# 20180327 +# Kyoukai debugged +# 20180317 +# IntersectcurvesPp changed and debugged +# Intersectpartseg changed (Eps00 ) +# Collectsameseg added, Collectnear commented out +# 20180306 +# PthiddenQ,Meetpoints,Sfcutparadata changed (to avoid duplications ) +# Sfbdparadata changed ( for near points in Implicitdata ) +# Envelopedata, Evlpfun added +# 20180305 +# (for surface drwaings ) Eps => Eps1 +# 2018.02.27 +# Nohiddenpara2,Crvsfparadara debugged (Eps=>Eps0) +# 2018.02.26 +# Sfcutparadata changed +# Partcrv3 debugged +# Projcurve rewritten +# Nohiddenparadata debugged +# PthiddenQ debugged +# 2018.02.24 +# Sfcutdata added ( for functions ) +# Meetpoints debugged (case Norm(PtB-PtA)<Eps0) +# 2018.02.23 +# Makevaltable2 added ( for functions ) +# 2018.02.23 +# Crvonsfparadata,Crv3onsfparadata added +# Wireparadata added +# 2018.02.22 +# PthiddenQ,Nohiddenpara2 changed (Eps2) +# 2018.02.21 +# PthiddenQ,Meetpoints debugged +# Crvsfparadata debugged (OTHERPARTITION) +# Partitionseg debugged (for non-list) and changed (Ns=0) +# Intersectcrvsf added +# 2018.02.19 +# Groupnearpt added +# Collectnear debugged +# Meetpoints,PthiddenQ debugged and changed (Groupnearpt used ) +# Parapt changed (for point list ) +# Partitionseg changed (remove close value ) +# Fullformfunc changed (Initialization of ADDPOINT) +# Addpoints added +# 2018.02.18 +# Projpara debugged ( for empty data, Mix replace ) +# WriteOutData debugged (for emply data ) +# Sfbdparadata,Cuspparadata debugged +# Meetpoints replaced +# 2018.02.17 +# PthiddenQ replaced +# 2018.02.15 +# Cancoordpara debugged (X=-... ) +# 2018.02.14 +# Paramoncrv,Pointoncrv renamed to ...curve +# 2018.02.12 +# Nohiddenpara2 debugged ( CUSPPT should be a list ) +# Dropnumlistcrv changed (Eps) +# 2018.02.11 +# Paramocrv debugged ( case N=Length(PtL) ) +# Sfbdparadata, Borderparadata, Makexybdy, Partitionseg, +# Evlptablepara, Fullformfunc, Dropnumlistcrv, Cuspsplitpara, +# PthiddenQ, Nohiddenpara2 added +# Crvsfparadata, Meetpoints, Clipdomain added +# 2018.02.10 +# Partcrv3 debugged +# 2018.02.09 +# Ptstart,Ptend changed ( for the case fig is empty) +# Norm changed (Dotprod used ) +# 2018.02.07 +# Collectnear debugged (Looprange ) +# Intersectcurves debugged (sum) +# 2018.02.06 +# Kukeiiwake debugged ( ParamonCurve -> Paramoncrv ) +# 2018.02.05 +# Dotprod changed ( crossprod not used ) +# Intersectpartseg changed ( case of length of result =1) +# 2018.02.04 +# Diff added ( func, withvar, (varnamevalue1,... )) +# Funvalue added ( for an expression ) +# 2018.02.02 +# Enclosing2 changed ( for distant curves, startpt option removed ) +# 2018.02.01 +# Intersectline,Intersectseg,...,Intersectcuves added +# Quicksort added +# Enclosing2 added (incomplete) +# 2018.01.29 +# Length added +# 2017.12.24 +# Objpolyhedron added +# 2017.12.23 +# Objsymb, symb3data added +# Objrecs, Objpolygon debugged +# Objthicksurf added +# 2017.12.22 +# Openobj,Closeobj,Writeobjpoint,Printobjstr,Objname,Objsurf added +# Crossprod added +# Objjoin, Objcurve, Objrecs, Objpolygon, Objsymb added +# Spacecurve debugged +# 2017.12.17 +# Setunitlen debugged ( MEMORI ) +# 2017.12.13 +# ReadOutData debugged +# 2017.12.11 +# Enclosing debugged ( appendrow -> Appendrow ) +# 2017.11.29 +# Anglemark, Arrowhead, Ovaldata debugged ( Circldeta included ) +# 2017.11.27 +# Anglemark changed ( Scilab 16.12.29) +# Plotdata,Paramplot,Spacecurve changed ( Scilab 16.12.13) +# Enclosing changed ( Scilab 16.10.09) +# Arrowhead,Arrowline changed ( Scilab 15.06.11) +# Definecolor added ( Scilab 15.05.04) +# 2017.11.26 +# Exprrot, Letterrot debugged ( `) +# 2017.11.24 +# Deqplot debugged (Looprange) +# 2017.11.20 +# InWindow debugged (for length=1) +# 2017.10.28 +# Openfile changed (Creator) +# 2017.10.23 +# ReadOutData greatly changed +# 2017.10.11 +# Drwpt debugged (Flattenlist ) +# 2017.10.08 +# Bezier debugged ( Num ) +# 2017.10.07 +# ReadOutData debugged ( for null data ) +# 2017.10.06 +# Deqdata, Deqplot added +# Connectseg remade(bug) +# 2017.09.30 +# Bezierpt, Bezier added +# 2017.09.29 +# Ptcrv debugged +# 2017.09.28 +# Openfile changed +# 2017.09.24 +# Circledata debugged +# Kyoukai changed (Eps) +# Shade updated +# 2017.09.22 +# Setcolor changed +# Plotdata,Paramplot,Spacecurve changed (N-1 -> N) +# 2017.09.21 +# Shade changed (Sci 17.01.09) +# 2017.09.17 +# Ovaldata,Assignadd changed +# Dist added +# Cicledata changed +# Bowdata debugged (Circledata,etc) + +# 2015.11.05 +# WriteOutData changed + +# 2015.10.29 +# WriteOutData changed ( endmark //// ) + +# 2015.10.24 +# ReadOutData changed ( in case of listlength=1 ) + +# 2014.12.23 +# ReadOutData added + +# 2014.12.17 +# WriteOutData added + +# 2014.0905 +# Unscaling debugged MARKLENI => MARKLEN +# 2014.03.31 +# PhHiddenData added +# 2014.03.30 +# Facesdata changed ( for Hiddendata ) +# 2014.03.23 +# MARKLEN separated, Rotate3data debugged + +# 2013.12.19 +# Openfile, Closefile, Bowname, Bownamerot + +# 2013.11.13 +# Arrowhead, Arrowheaddata + +# 2013.08.07 +# Cancoordpara added + +# 2013.08.07 +# Integrate added + +# 2013.05.20 +# Openfile changed + +# 2013.05.03 +# Tabledata, Pointdata changed +# Dividetable, Partframe added + +# 2013.02.10 +# Ketinit added + +# 2012.01.07 +# Arrowline, Arrowhead ( Cut implemented ) + +# 2011.12.18 +# Framedata ( compliant for list ) + +# 2011.12.12 +# Skeletonparadata... ( Flattellist used) + +# 2011.11.27 +# drwboxframe + +# 2011.11.07 +# metacommands added + +# 2011.11.02 +# Joingraphics ( for list structure ) + +# 2011.08.24 +# Setcolor ( c(1,0,0,0.5) etc ) +# Rotate3data ( Point is available ) + +# 2011.07.19 +# Drwline, Letter, Expr +# Drwboxplot( etc ) min,max => outliners +# Drwline ( unfinished in the case of "integer" ) + +# 2011.06.25 +# joincrvs debugged + +# synchro with ketpict2e + +# 2011.06.01 +# Bowdata debugged + +#2011.05.28 +# Ratiocmyk, Setcolor ( new ) + +#2011.04.28 +# Htickmark, Vtickmark debugged + +#2011.03.08 +# Drwboxframe debugged +# Putrow, Putrowexpr debugged (Dpos ) + +#2011.03.02 +# Tabledata ( index of hline ), PutcoL, PutcoLexpr ( "r",...) debugged +# Texcom changed ( // => backslash ) + +#2011.01.07 +# Dividegraphics, Splinedat are changed significantly +# Readtextdata is changed + +#2011.01.04 +# Derivative, Integrate are added + +#2010.12.07 +# Translatedata, Scaledata, Reflectdata changed ( efficient for vector ) +# Rotatedata changed ( deg : logical ) +# HIstplotdata, Drwhistplot ( type => freq , fpplot (added) ) + +# 2010.12.04 +# WindispT changed ( tickmark ) +# Lineplot changed ( mag=> length ) +# Plotdata debugged ( 'E=fun', 'D=') +# Enclosing changed (return PD) + +# 2010.12.02 +# WindispT changed +# Makecurves debugged + +# 2010.11.27 +# Pointdata changed ( efficient for matrix and data.frame ) +# WindispT +# Setwindow ( decide from data ) +# Assign debugged ( strsplit => gsub(fixed=T)) + +# 2010.11.20 +# Flattenlist, WindispT +# Splinedata changed( efficient for data.frame ) + +#2010.08.19 ( Maybe not finished ) +# Stripblanks +# Fullformfunc, Sf3data + +#2010.08.17 +# Phparadata, Phpersdata, Phspersdata, Phsparadata +# Facesdata, MakeveLfaceL, Menkakusi2 +# Rotate3data +# Skeletonpersdata, Skeletonpers3data, Makeskeletonpersdata +# Embed + +#2010.08.16 +# Spacecurve changed +# CameracoordCurve, Partcrv3, Projpers, CameraCurve, +# Perspt, Xyzaxpersname, Invperspt, Zparapt, Zperspt + +# 2010.08.15 +# Phcutoffdata added + +# 2010.08.13 +# Phcutdata, Spacecurve debugged +# Setangle changed + +# 2010.08.09 +# Spacecurve +# Rotate3data, Rotate3pt +# Phcutdata + +# 2010.08.08 +# Implementing 3d +# Initangle, Setangle, Setpers, SetstereoL, SetstereoR +# Mixlength +# Spaceline, Projpara, ProjCurve, Parapt +# Xyzax3data, Xyzaxparaname +# Cancoordpers, Invparapt, ProjcoordCurve +# Skeletonparadata, Skeletonpara3data, Makeskeletondata, Kukannozoki + +# 2010.07.25 +# Rotatedata changed +# Drwline changed (list of list) + +# 2010.04.09 +# Stat package added + +# 2010.04.02 +# Putcolexpr, Putrowexpr + +# 2010.04.02 + +# Windisp, Op changed +# Execmd added +# Texnewcmd, Texrenewcmd, Texend, +# Texctr, Texnewctr, Texsetctr +# Kyoukai debugged + +# 2010.01.20 +# Partcrv, Makeshasen : debugged + +# 2010.01.23 +# Ovaldata, Ovalbox added + +# 2010.01.27 +# Readtextdata changed +# Putrow, PutcoL debugged ( Putcol is OK) + +# 2010.01.31 +# Writetextdata added + +# 2010.02.12 +# Texvalctr, Texthectr added + +# 2010.02.22 +# Execmd changed + +# 2010.02.23 +# Op, Windisp changed + +# 2010.02.24 +# Execmd changed + +# 2010.03.07 +# Dotfilldata (Kosa>1) + +# 2010.03.21 +# Mixjoin +# Koutenlist (bug) + + +# 2010.03.24 +# Arrowhead ( bug in the case of "l" ) + +# 2010.03.28 +# Tabledata +# Diagcelldata ( New ) + +# 2010.03.30 +# Tabledata + +########################################### + +XMIN<- -5 +XMAX<- 5 +YMIN<- -5 ; YMAX<- 5 +ZIKU<- "line" +ARROWSIZE<- 1 +XNAME<- "$x$" +XPOS<- "e" +YNAME<- "$y$" +YPOS<- "n" +ONAME<- "O" +OPOS<- "sw" +ULEN<- "1cm" +MilliIn<- 1/2.54*1000 +PenThick<- round(MilliIn*0.02) +PenThickInit<- PenThick +TenSizeInit<<- 0.02*2 #17.10.07 +TenSize<- TenSizeInit +Wfile<-"" +MEMORI<- 0.05 +MEMORIInit<- MEMORI +MEMORINow<- MEMORI +MARKLEN<- 0.05 +MARKLENInit<- MARKLEN +MARKLENNow<- MARKLEN +GENTEN<- c(0,0) +YaSize<- 1 +YaAngle<- 18 +YaPosition<- 1 +YaThick<- 1 +YaStyle<- "tf" +PHI<- 30*pi/180 +THETA<- 60*pi/180 +FocusPoint<- c(0,0,0) +EyePoint<- c(5,5,5) +ASSIGNLIST<- list("`","'") + +SCALEX<- 1 +SCALEY<- 1 +LOGX<- 0 +LOGY<- 0 + +TEXFORLEVEL<- 0 +TEXFORLAST<- list() + +####################### + +Ketinit<- function(){ +XMIN<<- -5 +XMAX<<- 5 +YMIN<<- -5 ; YMAX<<- 5 +ZIKU<<- "line" +ARROWSIZE<<- 1 +XNAME<<- "$x$" +XPOS<<- "e" +YNAME<<- "$y$" +YPOS<<- "n" +ONAME<<- "O" +OPOS<<- "sw" +ULEN<<- "1cm" +MilliIn<<- 1/2.54*1000 +PenThick<<- round(MilliIn*0.02) +PenThickInit<<- PenThick +TenSizeInit<<- 0.02*2 #17.10.07 +TenSize<<- TenSizeInit +Wfile<<-"" +MEMORI<<- 0.05 +MEMORIInit<<- MEMORI +MEMORINow<<- MEMORI +MARKLEN<<- 0.05 +MARKLENInit<<- MARKLEN +MARKLENNow<<- MARKLEN +GENTEN<<- c(0,0) +YaSize<<- 1 +YaAngle<<- 18 +YaPosition<<- 1 +YaThick<<- 1 +YaStyle<<- "tf" +PHI<<- 30*pi/180 +THETA<<- 60*pi/180 +FocusPoint<<- c(0,0,0) +EyePoint<<- c(5,5,5) +ASSIGNLIST<<- list("`","'") + +SCALEX<<- 1 +SCALEY<<- 1 +LOGX<<- 0 +LOGY<<- 0 + +TEXFORLEVEL<<- 0 +TEXFORLAST<<- list() +} + +#------------------------------------------------------- + +Appendrow<- function(...) +{ + varargin<- list(...) + Nargs<- length(varargin) + Out<-c() + Nc<- 0 + for (I in 1:Nargs) + { + Dt<- varargin[[I]] + Nc<- max(Nc,Ncol(Dt)) + if(class(Dt)=="matrix") Dt<-as.numeric(t(Dt)) + Out<- c(Out,Dt) + } + if(Nc>0) + { + Out<-matrix(Out, nrow=Nc) + Out<-t(Out) + } + else + { + Out<-c() + } + return(Out) +} + +Datalength<-function(Data) +{ + if(length(Data)==0) return(0) + if(mode(Data)=="numeric") return(Nrow(Data)) + if(mode(Data)=="character") return(nchar(Data)) + if(mode(Data)=="list") return(length(Data)) +} + +Crossprod<- function (a,b){ # 17.12.22 + if(length(a)==3){ + Tmp1=a[2]*b[3]-a[3]*b[2] + Tmp2=a[3]*b[1]-a[1]*b[3] + Tmp3=a[1]*b[2]-a[2]*b[1] + Out=c(Tmp1,Tmp2,Tmp3) + }else{ + Out=a[1]*b[2]-a[2]*b[1] + } + return(Out) +} + +Dotprod<-function(a,b){ # 18.02.05 + nn=min(length(a),length(b)) + out=0 + for(jj in Looprange(1,nn)){ + out=out+a[jj]*b[jj] + } + return(out) +} + +Dist<- function(...) # 17.09.17 +{ + varargin<- list(...) + a=varargin[[1]] + if(length(varargin)==1){ + tmp=sqrt(Dotprod(a,a)) + return(as.vector(tmp)) + } + else{ + b=varargin[[2]] + tmp=sqrt(Dotprod(b-a,b-a)) + retun(as.vector(tmp)) + } +} + +Member<-function(A,L) +{ + N<-length(L); + if(length(N)==0) return(FALSE) + for (I in 1:N) + { + if(class(L)=="list") + { + Tmp<-L[[I]] + } + else + { + Tmp<-L[I] + } + if(mode(A)=="numeric") + { + if(Norm(A-Tmp)==0) return(TRUE) + } + else + { + if(A==Tmp) return(TRUE) + } + } + return(FALSE) +} + +Norm<-function(V) +{ + Tmp=Dotprod(V,V) #18.02.09 +# Tmp<-as.vector(V); +# Tmp<-crossprod(Tmp,Tmp) + Tmp<-sqrt(Tmp) +# as.numeric(Tmp) +} + +Ncol<-function(P) +{ + if(class(P)=="matrix") return(ncol(P)) + else return(length(P)) +} + +Nrow<-function(P) +{ + if(length(P)==0) return(0) + if(class(P)=="matrix") return(nrow(P)) + else return(1) +} + +Looprange<- function(a,b) +{ +if(a<=b) return(a:b) +return(c()) +} + +Stripblanks<- function(Ch){ + Tmp<- gsub(" ","",Ch,fixed=TRUE) + return(Tmp) +} + +Quicksort<- function(seqL,key){ #18.02.01 + if(length(seqL)<2){ + out=seqL + }else{ + tmp1=Op(1,seqL) + tmp2=Op(2,seqL) + if(Op(key,tmp1)>=Op(key,tmp2)){ + pivot = tmp1 + }else{ + pivot=tmp2 + } + left = list() + right = list() + for(ii in 1:length(seqL)){ + tmp=Op(ii,seqL) + if(Op(key,tmp)< Op(key,pivot)){ + left=c(left,list(tmp)) + }else{ + right=c(right,list(tmp)) + } + } + left = Quicksort(left,key) + right = Quicksort(right,key) + out=c(left,right) + } + return(out) +} + +Derivative<- function(...) +{ + varargin<- list(...) + Nargs<- length(varargin) + Fstr<- varargin[[1]] + Vstr<- varargin[[2]] + NvaL<- length(Vstr) + Flg<- 0 + if(Nargs>=3){ + VaL<- varargin[[3]] + Flg<- 1 + } + Str<- paste("deriv(~",Fstr,",c('",Vstr[1],"'",sep="") + for(J in Looprange(2,NvaL)){ + Str<- paste(Str,",'",Vstr[J],"'",sep="") + } + Str<- paste(Str,")",sep="") + if(NvaL<=3){ + Str<- paste(Str,",func=TRUE)",sep="") + } + else{ + Str<- paste(Str,")",sep="") + } + f<- eval(parse(text=Str)) + if(Flg==1){ + if(NvaL<=3){ + if(NvaL==1){V<- f(VaL[1])} + if(NvaL==2){V<- f(VaL[1],VaL[2])} + if(NvaL==3){V<- f(VaL[1],VaL[2],VaL[3])} + } + else{ + for(J in 1:NvaL){ + Tmp<- paste(Vstr[J],'<-',as.character(VaL[J])) + eval(parse(text=Tmp)) + } + V<- eval(f) + } + Out<- attr(V,'gradient') + Out<- Out[1,] + } + else{ + Out<- f + } + return(Out) +} + +Diff<- function(...){ #18.02.04 + varargin=list(...) + Nargs=length(varargin) + fun=varargin[[1]] + withvar=varargin[[2]] + tmp=paste("f<- expression(",fun,")",sep="") + eval(parse(text=tmp)) + nn=nchar(withvar) + for(jj in Looprange(1,nn)){ + tmp=substring(withvar,jj,jj) + f=D(f,tmp) + } + var=c() + val="" + for(jj in Looprange(3,Nargs)){ + tmp=strsplit(varargin[[jj]],"=") + var=c(var,tmp[[1]][1]) + val=paste(val,tmp[[1]][2],",",sep="") + } + if(Length(val)>1){ + val=substring(val,1,Length(val)-1) + f=deriv(f,var,func=TRUE) + tmp=paste("out=f(",val,")",sep="") + out=eval(parse(text=tmp)) + return(out[1]) + }else{ + return(f) + } +} + +Funvalue<- function(...){ + varargin=list(...) + Nargs=length(varargin) + df=varargin[[1]] + var=c() + val="" + for(jj in Looprange(2,Nargs)){ + tmp=strsplit(varargin[[jj]],"=") + var=c(var,tmp[[1]][1]) + val=paste(val,tmp[[1]][2],",",sep="") + } + val=substring(val,1,Length(val)-1) + dfun=deriv(df,var,func=TRUE) + tmp=paste("out=dfun(",val,")",sep="") + eval(parse(text=tmp)) + return(out[1]) +} + +Integrate<- function(...) +{ + varargin<- list(...) + Nargs<- length(varargin) + Fstr<- varargin[[1]] + Vstr<- varargin[[2]] + IntvL<- varargin[[3]] + Str<- 'Tmpfun<- function(' + Str<- paste(Str,Vstr,'){',sep='') + Str<- paste(Str,Fstr,'}',sep='') + eval(parse(text=Str)) + Tmpfunv<- function(x){sapply(x,Tmpfun)} + Out<- 0 + for (J in 1:(length(IntvL)-1)){ + Tmp<- integrate(Tmpfunv,IntvL[J],IntvL[J+1]) + Out<- Out+Tmp[[1]] + } + return(Out) +} + +#-------------------------------------- + +######################### + +Anglemark<- function(...) +{ + varargin<- list(...) + Nargs<- length(varargin) + Eps<- 10^(-3) + PA<- varargin[[1]] + PB<- varargin[[2]] + PC=varargin[[3]] + r <- 0.5 + if(Nargs>=4){ + r<- varargin[[4]]*r + } + Out=c() + if(r>min(Norm(PA-PB),Norm(PC-PB))){ + return(Out) + } + Cir<- Circledata(c(PB,r)) #17.11.29 + Tmp<- IntersectcrvsPp(Cir,Listplot(PA,PB)) + P1<- Op(2,Op(1,Tmp)) + Tmp<- IntersectcrvsPp(Cir,Listplot(PC,PB)) + P2<- Op(2,Op(1,Tmp)) + if(abs(P1-P2)<Eps){ + Out<-c() + return(Out) + } + if(P1<P2-Eps){ + Out<- Partcrv(P1,P2,Cir) + } + else{ + Tmp<- Numptcrv(Cir) + Tmp1<- Partcrv(P1,Tmp,Cir) + Tmp2<- Partcrv(1,P2,Cir) + Out<- Joincrvs(Tmp1,Tmp2) + } +} + +############################################## + +Arrowdata<- function(...) +{ + varargin<- list(...) + Nargs<- length(varargin) + P<- varargin[[1]] + Q<- varargin[[2]] + R<- Q + Futosa<- YaThick + Ookisa<- YaSize + Thickness<- 1 + Hiraki<- YaAngle + Yapos<- YaPosition + Position<- 1 + Str<- YaStyle + Flg<- 0 + for (I in Looprange(3,Nargs)){ + Tmp<- varargin[[I]] + if(mode(Tmp)=="numeric"){ + if(length(Tmp)>1){ + R<- Tmp + } + else{ + if(Flg==0){ + Ookisa<- Ookisa*Tmp + } + if(Flg==1){ + if(Tmp<5){ + Hiraki<- Tmp*Hiraki + } + else{ + Hiraki<- Tmp + } + } + if(Flg==2){ + R<- P+Tmp*(Q-P) + } + else{ + R<- P+Yapos*(Q-P) + } + if(Flg==3){ + Futosa<- Tmp + } + Flg<- Flg+1 + } + } + if(mode(Tmp)=="character"){ + Tmp<- grep("=", Tmp) + if(length(Tmp)>0){ + eval(parse(text=Tmp)) + Futosa<- Futosa*Thickness + R<- P+Position*(Q-P) + } + else{ + Str<- Tmp + } + } + } + Tmp1<- Listplot(c(P,Q)) + Tmp2<- Arrowheaddata(R,Q-P,Ookisa,Hiraki,Futosa,Str) + Out<- Joingraphics(Tmp1,Tmp2) +} + +###################################### + +# 2013.11.13 No Intersect debugged + +Arrowhead<-function(...) +{ ## Scaling is implemented + ## 12.01.08 Kirikomi + varargin<-list(...) + Nargs<-length(varargin) + P<-varargin[[1]] + Houkou<-varargin[[2]] + Ookisa<-0.2*YaSize + Hiraki<-YaAngle + Futosa<-0.5*YaThick + Cut<- 0 + Str<-YaStyle + Flg<- 0 + for (I in Looprange(3,Nargs)){ + Tmp<-varargin[[I]] + if(is.character(Tmp)){ + Equal<- grep("=",Tmp,fixed=TRUE) # 12.01.07 from + if(length(Equal)>0){ + Tmp1<- strsplit(Tmp,"=",fixed=TRUE) + Tmp2<- Tmp1[[1]] + if(Tmp2[1]=="Cut" || Tmp2[1]=="cut"){ + Tmp<- paste("Cut=",Tmp2[2],sep="") + eval(parse(text=Tmp)) + } + }else{ + Str<- Tmp + } # 12.01.07 until + } + if(is.numeric(Tmp) && length(Tmp)==1){ + if(Flg==0) Ookisa<-Ookisa*Tmp + if(Flg==1){ + if(Tmp<5) Hiraki<-Tmp*Hiraki + else Hiraki<-Tmp + } + if(Flg==2) Futosa<-Tmp + Flg<-Flg+1 + } + } + Ookisa<-1000/2.54/MilliIn*Ookisa + Theta<-Hiraki*pi/180 + if(Nrow(Houkou)>1){ + P<- Doscaling(P) + Houkou<- Doscaling(Houkou) + Tmp<-Nearestpt(P,Houkou) + A<-Tmp[[1]] + I<-floor(Tmp[[2]]) + G<-Circledata(c(P,Ookisa*cos(Theta)),N=10) #17.11.29 + Flg<- 0 # 13.11.13 + JL<-seq(I,1,by=-1) + for (J in JL){ + B<-Ptcrv(J,Houkou) + Tmp<-IntersectcrvsPp(Listplot(list(A,B)),G) + if(length(Tmp)>0){ + Flg<- 1 + break + } + A<-B + } + if(Flg==0){ # 13.11.13 + print("Arrowhead may be too large (no intersect)") + return(P) + } + Houkou<-P-Op(1,Tmp[[1]]) + Houkou<- Unscaling(Houkou) + P<- Unscaling(P) + } + P<- Doscaling(P) + Houkou<- Doscaling(Houkou) + Ev<--1/Norm(Houkou)*Houkou + Nv<-c(-Ev[2],Ev[1]) + if(length(grep("c",Str))>0){ + P<-P-0.5*Ookisa*cos(Theta)*Ev + } + if(length(grep("b",Str))>0){ + P<-P-Ookisa*cos(Theta)*Ev + } + A<-P+Ookisa*cos(Theta)*Ev+Ookisa*sin(Theta)*Nv + B<-P+Ookisa*cos(Theta)*Ev-Ookisa*sin(Theta)*Nv + if(length(grep("l",Str))>0){ + Tmp<-Listplot(list(A,P,B)) + Tmp1<- Unscaling(Tmp) + Drwline(Tmp1,Futosa) + } + else{ + C<- P+(1-Cut)*((A+B)/2-P) # 12.01.07 + Tmp<- Listplot(list(A,P,B,C,A)) # 12.01.07 + Tmp1<- Unscaling(Tmp) + Shade(Tmp1) + Tmp=Listplot(c(A,P,B,C,A,P)) # 15.6.20 + Tmp1=Unscaling(Tmp) + Drwline(Tmp1,0.1) # 15.06.11, 15.06.14 + } +} + +############################################ + +# 2013.11.13 No intersect debugged + +Arrowheaddata<- function(...) +{ ## Scaling is implemented + varargin<- list(...) + Nargs<- length(varargin) + P<- varargin[[1]] + Houkou<- varargin[[2]] + Ookisa<- 0.2*YaSize + Hiraki<- YaAngle + Futosa<- 0 + Thickness<- 1 + Str<- YaStyle + Flg<- 0 + for (I in Looprange(3,Nargs)){ + Tmp<-varargin[[I]] + if(mode(Tmp)=="character"){ + Tmp1<-grep("=",Tmp) + if(length(Tmp1)>0){ + eval(parse(text=Tmp)) + Futosa<- Thickness + } + else{ + Str<- Tmp + } + } + if(mode(Tmp)=="numeric" && length(Tmp)==1){ + if(Flg==0) Ookisa<-Ookisa*Tmp + if(Flg==1){ + if(Tmp<5) Hiraki<-Tmp*Hiraki + else Hiraki<-Tmp + } + if(Flg==2) Futosa<-Tmp + Flg<-Flg+1 + } + } + Theta<- Hiraki*pi/180 + if(Nrow(Houkou)>1){ + P<- Doscaling(P) + Houkou<- Doscaling(Houkou) + Tmp<-Nearestpt(P,Houkou) + A<-Tmp[[1]] + I<-floor(Tmp[[2]]) + G<-Circledata(c(P,Ookisa*cos(Theta)),N=10) #17.11.29 + Flg<- 0 # 13.11.13 + JL<-seq(I,1,by=-1) + for (J in JL){ + B<- Ptcrv(J,Houkou) + Tmp<- IntersectcrvsPp(Listplot(list(A,B)),G) + if(length(Tmp)>0){ + Flg<- 1 + break + } + A<-B + } + if(Flg==0){ # 13.11.13 + print("Arrowhead may be too large (no intersect)") + return(P) + } + Houkou<-P-Op(1,Tmp[[1]]) + Houkou<- Unscaling(Houkou) + P<- Unscaling(P) + } + P<- Doscaling(P) + Houkou<- Doscaling(Houkou) + Ev<- -1/Norm(Houkou)*Houkou + Nv<- c(-Ev[2],Ev[1]) + if(length(grep("c",Str))>0){ + P<-P-0.5*Ookisa*cos(Theta)*Ev + } + if(length(grep("b",Str))>0){ + P<-P-Ookisa*cos(Theta)*Ev + } + A<-P+Ookisa*cos(Theta)*Ev+Ookisa*sin(Theta)*Nv + B<-P+Ookisa*cos(Theta)*Ev-Ookisa*sin(Theta)*Nv + Tmp<- Listplot(A,P,B) + Out<- Unscaling(Tmp) + return(Out) +} + +########################################## + +Arrowline<- function(...) +{ # 12.01.07 kirikomi + varargin<- list(...) + Nargs<- length(varargin) + P<- varargin[[1]] + Q<- varargin[[2]] + Futosa<- YaThick + Ookisa<- YaSize + Hiraki<- YaAngle + Yapos<- YaPosition + Cutstr<- "Cut=0" + Str<- YaStyle + Flg<- 0 + for (I in Looprange(3,Nargs)){ + Tmp<- varargin[[I]] + if(is.character(Tmp)){ + Equal<- grep("=",Tmp,fixed=TRUE) # 12.01.07 from + if(length(Equal)>0){ + Tmp1<- strsplit(Tmp,"=") + Tmp2<- Tmp1[[1]] + if(Tmp2[1]=="Cut" || Tmp2[1]=="cut"){ + Tmp<- paste("Cut=", Tmp2[2],sep="") + Cutstr<- Tmp + } + } + else{ + Str<- Tmp + } # 12.01.07 until + } + if(is.numeric(Tmp) && length(Tmp)==1){ + if(Flg==0) Ookisa<- Ookisa*Tmp + if(Flg==1){ + if(Tmp<5) Hiraki<- Tmp*Hiraki + else Hiraki<- Tmp + } + if(Flg==2) Yapos<- Tmp + if(Flg==3) Futosa<- Tmp + Flg<- Flg+1 + } + } + R<- P+Yapos*(Q-P) + Tmp=Q-Unscaling(0.2*Ookisa/2*(Q-P)/Norm(Q-P)) # 15.10.24 + Drwline(Listplot(c(P,Tmp)),Futosa) + Arrowhead(R,Q-P,Ookisa,Hiraki,Futosa,Cutstr,Str) +} + +######################################### + +Assign<- function(...) +{ + varargin<- list(...) + Nargs<- length(varargin) + if(Nargs==0){ + ASSIGNLIST<<- list("`",Prime()) + Out<- ASSIGNLIST + return() +# return("Assign reset done"); + } + L<- list("`","'") + if(Nargs%%2==0){ + L<- Mixjoin(L,varargin) + ASSIGNLIST<<- L + Out<- L + return() +# return("Assign set done"); + } + if(Nargs==1){ + Fnstr<- varargin[[1]] + if(nchar(Fnstr)==0){ # case of "" + L<- ASSIGNLIST + Out<- c() + for (I in seq(1,length(L),by=2)){ + Tmp1<- L[[I]] + Tmp2<- L[[I+1]] + if(length(Tmp2)==1){ + Tmp3<- as.character(Tmp2) + } + else{ + if(mode(Tmp2)=="character"){ + Tmp3<- Tmp2 + } + else if(mode(Tmp2)=="list"){ + Tmp3<- makeliststr(Tmp2) + } + else if(mode(Tmp2)=="numeric"){ + Tmp3<- "c(" + for (J in Looprange(1,length(Tmp2))){ + Tmp3<- paste(Tmp3,as.character(Tmp2[J]),sep="") + if(J<length(Tmp2)){ + Tmp3<- paste(Tmp3,",",sep="") + } + } + Tmp3<- paste(Tmp3,")",sep="") + if(class(Tmp2)=="matrix"){ + Nr<- as.character(nrow(Tmp2)) + Tmp3<- paste("matrix(",Tmp3,"nrow=",Nr,")",sep="") + } + } + } + Tmp<- paste(Tmp1,"=",Tmp3,sep="") + Out<- c(Out,Tmp) + } + return(Out); + } + if(substr(Fnstr,1,1)=="?"){ + Fnstr<- substr(Fnstr,2,nchar(Fnstr)) + for (I in seq(1,length(ASSIGNLIST),by=2)){ + Tmp<- ASSIGNLIST[[I]] + if(Tmp==Fnstr){ + Out<- Mixjoin(list(I),ASSIGNLIST[I+1]) + return(Out) + } + } + Out<- "Not found" + return(Out); + } + L<- ASSIGNLIST + } + else{ + if(mode(varargin[[2]])=="numeric"){ + Fnstr<- varargin[[Nargs]] + for (I in Looprange(1,Nargs-1)){ + L[[I]]=varargin[[I]] + } + } + else{ + Fnstr<- varargin[[1]] + for (I in Looprange(2,Nargs)){ + L[[I-1]]<- varargin[[I]] + } + } + } + for (I in seq(1,length(L),by=2)){ + Vname<- L[[I]] + Val<- L[[I+1]] + if(mode(Val)=="numeric"){ + if(Nrow(Val)==1){ + for (K in Looprange(1,length(Val))){ + Tmp<- paste(Vname,"[", as.character(K),"]",sep="") + if(mode(Val[K])=="numeric"){ + Tmp1<- paste("(",as.character(Val[K]),")",sep="") + } + else{ + Tmp1<- Val[K] + } + Fnstr<- gsub(Tmp,Tmp1,Fnstr,fixed=TRUE) + } + } + else{ + for (J in Looprange(1,Nrow(Val))){ + for (K in Looprange(1,Ncol(Val))){ + Tmp<- paste(Vname,"(",as.character(J),",",as.character(K),")",sep="") + if(mode(Val[J,K])=="numeric"){ + Tmp1<- paste("(",as.character(Val[J,K]),")",sep="") + } + else{ + Tmp1<- Val[J,K] + } + Fnstr<- gsub(Tmp,Tmp1,Fnstr,fixed=TRUE) + } + } + } + if(length(Val)==1){ + Rep<- as.character(Val) + } + else{ + Rep<-"" + if(class(Val)=="matrix"){ + Rep<- "matrix(" + } + Rep<- paste(Rep,"c(",sep="") + for (J in Looprange(1,length(Val))){ + Rep<- paste(Rep,as.character(Val[J]),sep="") + if(J<length(Val)){ + Rep<- paste(Rep,",",sep="") + } + else{ + Rep<- paste(Rep,")",sep="") + } + } + if(class(Val)=="matrix"){ + Rep<- paste(Rep,",nrow=",as.character(nrow(Val)),")",sep="") + } + } + Tmp1<- paste("(",Rep,")",sep="") + } + if(mode(Val)=="character"){ + Tmp1<- Val + } + if(mode(Val)=="list"){ + Tmp1<- Makeliststr(Val) + } + Fnstr<- gsub(Vname,Tmp1,Fnstr,fixed=TRUE) # 10.11.20 + } + return(Fnstr) +} + +######################################### + +Assignadd<- function(...) +{ + varargin<- list(...) + L<- ASSIGNLIST + L<- Mixjoin(L,varargin) + ASSIGNLIST<<- L +# return("assign add done"); #17.09.17 +} + +######################################### + +Assignrep<- function(...) +{ + varargin<- list(...) + Nargs<- length(varargin) + L<- ASSIGNLIST + for (I in seq(1,Nargs,by=2)){ + Vname<- varargin[[I]] + Val<- varargin[[I+1]] + Tmp1<- paste("?",Vname,sep="") + Tmp<- Assign(Tmp) + if(mode(Tmp)=="character"){ + next + } + I<- Tmp[[1]] + L<- Mixjoin(L,list(Val)) + } + ASSIGNLIST<<- L +} + +######################################### + + Assignset<- function(...) +{ + Assign(...) +} + +######################################### + +Beginpicture<-function(ul) +{ ## Scaling is implemented + Tmp<- Doscaling(c(XMIN,YMIN)) + Xm<- Tmp[1] + Ym<- Tmp[2] + Tmp<- Doscaling(c(XMAX,YMAX)) + XM<- Tmp[1] + YM<- Tmp[2] + Dx<- XM-Xm + Dy<- YM-Ym + Sym<-".0123456789 +-*/" + SL<-Sym + OL<-"+-*/" + if(ul!=""){ + ULEN<<-ul; + } + Is<-1; + VL<-""; + Ucode<-ULEN + for (I in Looprange(1,nchar(Ucode))){ + C<-substring(Ucode,I,I); + if(length(grep(C,SL))>0){ + if(length(grep(C,OL))>0){ + Tmp<-substring(Ucode,Is,I-1); + Str<-paste(VL,Tmp,C,sep="") + VL<-Str + Is<-I+1; + } + } + else{ + Unit<-substring(Ucode,I,I+1) + Str<-substring(Ucode,Is,I-1) + VL<-paste(VL,Str,sep="") + break; + } + } + Valu<-eval(parse(text=VL)) + Str<-as.character(Valu); + ULEN<<- paste(Str,Unit,sep="") + if(Unit=="cm") MilliIn<<-1000/2.54*Valu + if(Unit=="mm") MilliIn<<-1000/2.54*Valu/10 + if(Unit=="in") MilliIn<<-1000*Valu + if(Unit=="pt") MilliIn<<-1000/72.27*Valu + if(Unit=="pc") MilliIn<<-1000/6.022*Valu + if(Unit=="bp") MilliIn<<-1000/72*Valu + if(Unit=="dd2") MilliIn<<-1000/1238/1157/72.27*Valu + if(Unit=="cc") MilliIn<<-1000/1238/1157/72.27*12*Valu; + if(Unit=="sp") MilliIn<<-1000/72.27/65536*Valu/10 + MARKLEN<<- MARKLENNow*1000/2.54/MilliIn; + Str<-paste("{\\unitlength=",ULEN,"%\n",sep="") + cat(Str,file=Wfile,append=TRUE) + cat("\\begin{picture}%\n",file=Wfile,append=TRUE) + Str<-"(" + Tmp<-as.character(round(Dx,digits=6)) + Str<-paste(Str,Tmp,",",sep="") + Tmp<-as.character(round(Dy,digits=6)) + Str<-paste(Str,Tmp,")(",sep="") + Tmp<-as.character(round(Xm,digits=6)) + Str<-paste(Str,Tmp,",",sep="") + Tmp<-as.character(round(Ym,digits=6)) + Str<-paste(Str,Tmp,")%\n",sep="") + cat(Str,file=Wfile,append=TRUE) + Str<-paste("\\special{pn ",as.character(PenThickInit),"}%\n",sep="") + cat(Str,file=Wfile,append=TRUE) + cat("%\n",file=Wfile,append=TRUE) +} + +################################################# + +Bowdata<- function(...) #17.09.17 +{ + varargin <- list(...) + Nargs <- length(varargin) + PA <- varargin[[1]] + PB <- varargin[[2]] + Cut <- 0 + D <- 1/2*Norm(PB-PA) + if(Nargs>=3) { + H <- varargin[[3]]*D*0.2 + } + else { + H <- D*0.2 + } + H <- min(H,D) + if(Nargs>=4){ + Cut <- varargin[[4]] + } + Ydata <- MakeBowdata(PA,PB,H) + C <- Op(1,Ydata) + r <- Op(2,Ydata) + R1 <- Op(3,Ydata) + R2 <- Op(4,Ydata) + Rng <- paste("R=c(",as.character(R1),",",as.character(R2),")",sep="") + Theta <- (R1+R2)*0.5 + BOWMIDDLE <<- list(c(C[1]+r*cos(Theta),C[2]+r*sin(Theta)),Theta) + M <- Op(1,BOWMIDDLE) + ThetaM <- Op(2,BOWMIDDLE) + BOWSTART <<- PA + BOWEND <<- PB + if(Cut==0){ + Pd<- Circledata(c(C,r),Rng) + } + else{ + Alpha <- R1; Beta <- ThetaM-Cut/(2*r) + Rng <- paste("Rng=c(",as.character(Alpha),",",as.character(Beta),")",sep="") + Pd <- Circledata(c(C,r),Rng) + Alpha <- ThetaM+Cut/(2*r); Beta <- R2 + Rng <- paste("R=c(",as.character(Alpha),",",as.character(Beta),")",sep="") + Tmp <- Circledata(c(C,r),Rng) + Pd <- Appendrow(Pd,c(Inf,Inf),Tmp) + } +} + +Bowmiddle <- function(...) +{ + varargin <- list(...) + Nargs <- length(varargin) + if( Nargs==0) { + M <- BOWMIDDLE + return(M) + } + if(Nargs==1) { + Bdata <- varargin[[1]] + A <- Bdata[1,] + Dind <- Dataindex(Bdata) + Dc <- Nrow(Dind) + Tmp <- Dind[Dc,2] + B <- Bdata[Tmp,] + if(Dc==1) { + Tmp1 <- round(Tmp/2) + } + else { + Tmp1 <- Dind[1,2] + } + D <- Bdata[Tmp1,] + B <- B-A + D <- D-A + Tmp1 <- B[1]*D[2]-D[1]*B[2] + Tmp2 <- (Norm(B)^2*D[2]-B[2]*Norm(D)^2)/2 + Tmp3 <- -(Norm(B)^2*D[1]-B[1]*Norm(D)^2)/2 + C <- c(Tmp2,Tmp3)/Tmp1+A + R <- Norm(C-A) + B <- B+A + V <- (A+B)/2-C + V <- V/Norm(V) + M <- C+R*V + } + else { + A <- varargin[[1]]; B <- varargin[[2]] + D <- 1/2*Norm(B-A) + H <- 0.2*D; + if(length(varargin)>=3) { + Tmp <- varargin[[3]] + H <- Tmp*D*0.2 + } + H <- min(H,D) + Ydata <- MakeBowdata(A,B,H) + C <- Op(1,Ydata) + R <- Op(2,Ydata) + T <- (Op(3,Ydata)+Op(4,Ydata))/2 + P <- C+R*c(cos(T),sin(T)) + #M <- list(P,T) + M <- P + } + return(M) +} + +########################## +# 13.12.19 small movement supported + +Bowname<- function(...) +{ + varargin <- list(...) + Nargs <- length(varargin) + Siki <- varargin[[Nargs]] + Nargs<- Nargs-1 + Dr<- "c" + if(Nargs>=1){ + Tmp<- varargin[[Nargs]] + if(is.character(Tmp)){ + Dr<- Tmp + Nargs<- Nargs-1 + } + } + if(Nargs==0){ + Siki <- varargin[[1]] + P <- Op(1,BOWMIDDLE) + } + else if(Nargs==1){ + Bdata <- varargin[[1]] + P <- Bowmiddle(Bdata) + } + else{ + A <- varargin[[1]]; B <- varargin[[2]] + D <- 1/2*Norm(B-A) + Tmp <- varargin[[3]] + if(is.character(Tmp)){ + H <- D*0.2 + } + else { + H <- Tmp*D*0.2 + } + H <- min(H,D) + Ydata <- MakeBowdata(A,B,H) + Tmp <- Bowmiddle(Ydata) + P <- Op(1,Tmp) + } + Expr(P,Dr,Siki) +} + +########################## +# 13.12.19 small movement supported +# A,B, ... no longer supported + +Bownamerot <- function(...) +{ + varargin <- list(...) + Nargs <- length(varargin) + Eps <- 10^(-6) + Flg <- 1 + Tmp <- varargin[[Nargs]] + if(is.numeric(Tmp) && length(Tmp)==1 && Tmp<0){ + Flg <- Tmp + Nargs <- Nargs-1 + } + Siki <- varargin[[Nargs]] + Nargs<- Nargs-1 + Dr<- "c" + if(Nargs>=1){ + Tmp<- varargin[[Nargs]] + if(is.character(Tmp)){ + Dr<- Tmp + Nargs<- Nargs-1 + } + } + if(Nargs==0) { + P <- Op(1,BOWMIDDLE) + A <- BOWSTART + B <- BOWEND + } + else{ + Bdata<- varargin[[1]] + P<- Bowmiddle(Bdata) + A=Bdata[1,] + B=Bdata[nrow(Bdata),] + Tm<- 0; Tv<- 0 + if(Nargs>1){ + Tm<- varargin[[2]] + if(Nargs>2){ + Tv<- varargin[[3]] + } + } + } +# else if(Nargs==2) { +# Bdata <- varargin[[1]] +# P <- Bowmiddle(Bdata) +# A <- Bdata[1,] +# B <- Bdata[Nrow(Bdata),] +# Siki <- varargin[[2]] +# } +# else { +# A <- varargin[[1]]; B <- varargin[[2]] +# D <- 1/2*Norm(B-A) +# Tmp <- varargin[[3]] +# if(mode(Tmp)=="character") { +# H <- 0.2*D; Siki <- Tmp +# } +# else { +# H <- Tmp*D*0.2; Siki <- varargin[[4]] +# } +# H <- min(H,D) +# Ydata <- MakeBowdata(A,B,H) +# C <- Op(1,Ydata) +# R <- Op(2,Ydata) +# T <- (Op(3,Ydata)+Op(4,Ydata))/2 +# P <- C+R*c(cos(T),sin(T)) +# } + if(A[1]>B[1]+Eps){ + Tmp <- A + A <- B + B <- Tmp + } + if(Flg>0) { + Tmp <- B-A + } + else{ + Tmp <- A-B + } + Exprrot(P,Tmp,Tm,Tv,Siki) +} + +CalcHeight<-function(Hoko,Moji) +{ + D<-0 + H<-substring(Hoko,1,1) + Tmp<-paste("\\settoheight{\\Height}{",Moji,"}",sep="") + Str<-c(Tmp) + Tmp=paste("\\settodepth{\\Depth}{",Moji,"}",sep="") + Str<-c(Str,Tmp) + if(H=="n") Str<-c(Str,"\\setlength{\\Height}{\\Depth}") + if(H=="s") Str<-c(Str,"\\setlength{\\Height}{-\\Height}") + if(H=="c") + { + Str<-c(Str,"\\setlength{\\Height}{-0.5\\Height}") + Str<-c(Str,"\\setlength{\\Depth}{0.5\\Depth}") + Str<-c(Str,"\\addtolength{\\Height}{\\Depth}") + } + for (I in 1:length(Str)) cat(Str[I],file=Wfile,append=TRUE) + cat("%\n",file=Wfile,append=TRUE) +} + +######################### + +CalcWidth<-function(Hoko,Moji) +{ + D<-0; + H<-substring(Hoko,2,2) + if(H=="e") D<-0 + if(H=="w") D<--1.0 + if(H=="c") D<--0.5 + Str1<-paste("\\settowidth{\\Width}{",Moji,"}",sep="") + Tmp<-as.character(D) + Str2<-paste("\\setlength{\\Width}{",Tmp,"\\Width}",sep="") + cat(Str1,file=Wfile,append=TRUE) + cat(Str2,file=Wfile,append=TRUE) + cat("%\n",file=Wfile,append=TRUE) +} + +######################### +# 17.09.17 +# 17.09.24 + +Circledata<- function(...){ + varargin<- list(...) + Nargs<- length(varargin) + Cr<- varargin[[1]] + C=Cr[1:2] + if(length(Cr)==4){ + ra=Norm(C-Cr[3:4]) + Nop=2 + } + else{ + ra=Cr[3] + Nop=2 + } + R=c(0,2*pi) + N=50 + for (I in Looprange(Nop,Nargs)){ + Tmp<- varargin[[I]] + if(is.character(Tmp)){ + Tmp1=regexpr("=",Tmp) #17.09.24from + Tmp2=substring(Tmp,Tmp1+1,nchar(Tmp)) + Tmp1=substring(Tmp,1,Tmp1) + Tmp1=gsub("NUM", "N", toupper(Tmp1)) + Tmp1=gsub("RNG", "R", Tmp1) + Tmp=paste(Tmp1,Tmp2,sep="") #17.09.24until + eval(parse(text=Tmp)) + } + } + Dt<- (R[2]-R[1])/N + T <- seq(R[1],R[2],by=Dt) + X <- C[1]+ra*cos(T) + Y <- C[2]+ra*sin(T) + XY<- c(X,Y) + P<- matrix(XY,ncol=2) + return(P) +} + +######################### +# 13.12.19 + +Closefile<-function(...) +{ + varargin<- list(...) + if(length(varargin)>=1){ + Pa<- varargin[[1]] + if(is.character(Pa)){ + if(Pa=="1") Endpicture(1) + if(Pa=="0") Endpicture(0) + } + } + Wfile<<-"" +} + +######################### + +Closepar<- function() +{ + S<- "%\n\\end{minipage}" + cat(S,file=Wfile,append=TRUE) + Closephr() +} + + +#################################### + +Closephr<- function() +{ + cat("%\n}%\n",file=Wfile,append=TRUE) +} + +##################################### + +Dataindex<-function(P) +{ + # Inf;Inf : Terminator + Ndm<-c() + if(length(P)==0) return(Ndm) + N1<-1 + Flg<-0 + for (J in 1:Nrow(P)) + { + if(P[J,1]==Inf) + { + Ndm<-Appendrow(Ndm,c(N1,J-1)) + N1<-J+1; + if(P[N1,1]==Inf) + { + Flg<-1; + break; + } + } + } + if(Flg==0) + { + Ndm<-Appendrow(Ndm,c(N1,Nrow(P))) + } + if(class(Ndm)=="numeric") + { + Tmp<-matrix(Ndm,nrow=1) + Ndm<- Tmp + } + return(Ndm) +} + +################################ + +Dashline<- function(...) +{ + varargin<- list(...) + Nargs<- length(varargin) + Nall<- Nargs; Sen<- 1 ; Gap<- 1 + Tmp<- varargin[[Nall]] + if(mode(Tmp)=="numeric" && length(Tmp)==1 && Tmp>0){ + Tmp1<- varargin[[Nall-1]] + if(mode(Tmp1)=="numeric" && length(Tmp1)==1 && Tmp1>0){ + Sen<- Tmp1; Gap<- Tmp + Nall<- Nall-2 + } + else{ + Sen<- Tmp; Gap<- Sen + Nall<- Nall-1 + } + } + Sen<- 1000/2.54/MilliIn*Sen + Gap<- 1000/2.54/MilliIn*Gap + for (N in Looprange(1,Nall)){ + Pdata<- varargin[[N]] + if(is.numeric(Pdata)==1){ + Pdata<- list(Pdata) + } + for (II in 1:length(Pdata)){ + Figdata<- Op(II,Pdata) + Makehasen(Figdata,Sen,Gap,0) + } + } +} + +############################################## +# 17.11.27 + +Definecolor<- function(Name,Data){ + Tmp1=length(Data) + if((Tmp1<3) || (Tmp1>4)){ + cat("Size of data should be 3 or 4.") + return() + } + if(Tmp1==4){ + Tp="cmyk" + }else{ + Tp="rgb" + } + Tmp="" + for(J in 1:Tmp1){ + Tmp=paste(Tmp, as.character(Data[J]),sep="") + if(J<Tmp1){ + Tmp=paste(Tmp,",",sep="") + } + } + Tmp=paste("\\definecolor{",Name,"}{",Tp,"}{",Tmp,"}",sep="") + Texcom(Tmp) +} + +############################################## + +Diagcelldata<- function(Tb,Nc,Nr) +{ + Tmp<- Findcell(Tb,Nc,Nr) + C<- Tmp[[1]] + Dx<- Tmp[[2]] + Dy<- Tmp[[3]] + Pne<- C+c(Dx,Dy) + Pnw<- C+c(-Dx,Dy) + Psw<- C+c(-Dx,-Dy) + Pse<- C+c(Dx,-Dy) + Tmp1<- Listplot(Pnw,Pse) + Tmp2<- Listplot(Pne,Psw) + list(Tmp1,Tmp2) +} + +############################################## +# 11.01.07 + +Dividegraphics<- function(Pd) +{ + if(length(Pd)==0){ + return(Pd) + } + DtL<- Flattenlist(Pd) + OutL<- list() + for (J in 1:length(DtL)){ + Dt<- as.matrix(DtL[[J]]) + Ndm<- Dataindex(Dt) + for (I in Looprange(1,Nrow(Ndm))){ + Fd<- Dt[Ndm[I,1]:Ndm[I,2],] + OutL<- c(OutL,list(Fd)) + } + } + return(OutL) +} + +############################################## +# 13.05.03 + +Dividetable<- function(Tb) +{ + G<- Tb[[1]] + Gw<- G[[1]] + Gt<- G[Tb[[2]]] + Gy<- G[Tb[[3]]] + list(Gw,Gt,Gy) +} + +################################################ + +Doscaling<- function(G) +{ + GLg<- G + if(class(GLg)=="numeric") + { + if(LOGX==1) GLg[1]<- log(G[1], base=10) + if(LOGY==1) GLg[2]<- log(G[2], base=10) + Tmp<-c(SCALEX*GLg[1],SCALEY*GLg[2]) + return(Tmp) + } + else + { + if(LOGX==1) GLg[,1]<- log(G[,1],base=10) + if(LOGY==1) GLg[,2]<- log(G[,2],base=10) + Tmp1<-matrix(c(SCALEX,0,0,SCALEY),nrow=2) + Tmp<-GLg %*% Tmp1 + return(Tmp) + } +} + +######################################## + +Dotfilldata<- function(...) +{ ## Scaling is implemented + varargin<- list(...) + Nargs<- length(varargin) + ShaL<- list() + Eps<- 0.01 + Kakudo<- 45 + Kosa<- 0.5 + Tmp<- Doscaling(c(XMIN,YMIN)) + Xmn<- Tmp[1]; Ymn<- Tmp[2] + Tmp<- Doscaling(c(XMAX,YMAX)) + Xmx<- Tmp[1]; Ymx<- Tmp[2] + for (N in seq(Nargs,1,by=-1)){ + Tmp<- varargin[[N]] + if(Mixtype(Tmp)!=1){ + break + } + } + if(N<Nargs){ + Kosa<- varargin[[N+1]] + } +# Kosa<- min(Kosa,1) + Tmp<- 1/(2*Kosa) + Kankaku<- Tmp*0.100*1000/2.54/MilliIn + NaitenL<- varargin[[1]] + if(Mixtype(NaitenL)==1){ + NaitenL<- list(NaitenL) + } + Ns<- 2 + StartP<- Op(1,NaitenL) + if(mode(StartP)=="character"){ + StartP<- c((Xmn+Xmx)/2,(Ymn+Ymx)/2) + } + else{ + StartP<- Doscaling(StartP) + } + Tmp<- varargin[[2]] + if(Mixtype(Tmp)==1){ + StartP<- Doscaling(Tmp) + Ns<- 3 + } + Tmp<- list() + for (I in Looprange(Ns,N)){ + Tmp<- Mixjoin(Tmp,list(varargin[[I]])) + } + Bdy<- Kyoukai(Tmp) + Bdys<-list() + for (I in 1:length(Bdy)){ + Tmp1<- Bdy[[I]] + Tmp2<- Doscaling(Tmp1) + Bdys<- Mixjoin(Bdys,list(Tmp2)) + } + Bdy<- Bdys + PtnL<- list() + for (I in Looprange(1,length(NaitenL))){ + Tmp<- Op(I,NaitenL) + if(mode(Tmp)=="numeric"){ + Tmp1<- Naigai(Tmp,Bdy) + PtnL<- Mixjoin(PtnL,list(Tmp1)) + } + else{ + if(mode(Tmp)!="character"){ + return("Mode Error") + } + Ptn<- c() + for (J in Looprange(1,nchar(Tmp))){ + if(substr(Tmp,J,J)=="i"){ + Ptn<- c(Ptn,1) + } + else{ + Ptn<- c(Ptn,0) + } + } + PtnL<- Mixjoin(PtnL,list(Ptn)) + } + } + Call<- length(Bdy) + Ptn<- c(seq(0, 0, length=Call)) + if(Member(Ptn,PtnL)){ + Wn<- Doscaling(Framedata()) + Bdy<- Mixjoin(Bdy,list(Wn)) + Tmp<- list() + for (I in Looprange(1,length(PtnL))){ + Tmp1<- c(Op(I,PtnL),1) + Tmp<- Mixjoin(Tmp,list(Tmp1)) + } + PtnL<- Tmp + } + V<- c(cos(Kakudo*pi/180),sin(Kakudo*pi/180)) + Vm<- c(-sin(Kakudo*pi/180),cos(Kakudo*pi/180)) + Tmp<- Op(1,NaitenL) + if(mode(Tmp)=="numeric" && length(Tmp)==2){ + Tmp<- Doscaling(Tmp) + Delta<- Tmp-StartP + K<- trunc(Dotprod(Delta,Vm)/Kankaku) + PA<- StartP+K*Kankaku*Vm + P<- PA + Sha<- Makeshasen(PtnL,P,V,Bdy) + Sha<- Dividegraphics(Sha) + I<- 1 + while (length(Sha)>0){ + for (J in Looprange(1,length(Sha))){ + Tmp<- Op(J,Sha) + Q<- Tmp[1,] + R<- Tmp[2,] + Tmp<- Dotprod(Q-P,V)/Kankaku + K1<- ceiling(Tmp) + if(abs(K1-Tmp)<Eps) K1=K1+1 + Tmp<- Dotprod(R-P,V)/Kankaku + K2<- floor(Tmp) + if(abs(Tmp-K2)<Eps) K2=K2-1 + for (K in Looprange(K1,K2)){ + Tmp1<- Pointdata(P+K*Kankaku*V) + ShaL<- Mixjoin(ShaL, list(Tmp1)) + } + } + P<- PA+I*Kankaku*Vm + Sha<- Makeshasen(PtnL,P,V,Bdy) + Sha<- Dividegraphics(Sha) + I<- I+1 + } + P<- PA-Kankaku*Vm + Sha<- Makeshasen(PtnL,P,V,Bdy) + I<- 2 + while (length(Sha)>0){ + for (J in 1:length(Sha)){ + Tmp<- Op(J,Sha) + Q<- Tmp[1,] + R<- Tmp[2,] + Tmp<- Dotprod(Q-P,V)/Kankaku + K1<- ceiling(Tmp) + if(abs(K1-Tmp)<Eps) K1<- K1+1 + Tmp<- Dotprod(R-P,V)/Kankaku + K2<- floor(Tmp) + if(abs(Tmp-K2)<Eps) K2<- K2-1 + for (K in Looprange(K1,K2)){ + Tmp1<- Pointdata(P+K*Kankaku*V) + ShaL<- Mixjoin(ShaL, list(Tmp1)) + } + } + P<- PA-I*Kankaku*Vm + Sha<- Makeshasen(PtnL,P,V,Bdy) + I<- I+1 + } + } + else{ + Delta<- c(Xmn,Ymn)-StartP + K1<- trunc(Dotprod(Delta,Vm)/Kankaku) + Delta<- c(Xmx,Ymn)-StartP + K2<- trunc(Dotprod(Delta,Vm)/Kankaku) + Delta<- c(Xmx,Ymx)-StartP + K3<- trunc(Dotprod(Delta,Vm)/Kankaku) + Delta<- c(Xmn,Ymx)-StartP + K4<- trunc(Dotprod(Delta,Vm)/Kankaku) + IM<- max(K1,K2,K3,K4) + Im<- min(K1,K2,K3,K4) + for (I in Im:IM){ + P<- StartP+I*Kankaku*Vm + Sha<- Makeshasen(PtnL,P,V,Bdy) + Sha<- Dividegraphics(Sha) + if(length(Sha)>0){ + for (J in 1:length(Sha)){ + Tmp<- Op(J,Sha) + Q<- Tmp[1,] + R<- Tmp[2,] + Tmp<- Dotprod(Q-P,V)/Kankaku + K1<- ceiling(Tmp) + if(abs(K1-Tmp)<Eps) K1=K1+1 + Tmp<- Dotprod(R-P,V)/Kankaku + K2<- floor(Tmp) + if(abs(Tmp-K2)<Eps) K2=K2-1 + for (K in Looprange(K1,K2)){ + Tmp1<- Pointdata(P+K*Kankaku*V) + ShaL<- Mixjoin(ShaL, list(Tmp1)) + } + } + } + } + } + ShaLs<-list() + for (I in Looprange(1,length(ShaL))) + { + Tmp<- ShaL[[I]] + Tmp1<- Unscaling(Tmp) + ShaLs<- Mixjoin(ShaLs,Tmp1) + } + ShaL<- ShaLs + return(ShaL) +} + +############################################# + +Dottedline<- function(...) +{ + varargin <- list(...) + Nall <- length(varargin) + Nagasa <- 0.1 + Ookisa <- PenThick + I <- Nall + Tmp <- varargin[[I]] + while (mode(Tmp)=="numeric" && length(Tmp)==1 ) { + I <- I-1 + Tmp <- varargin[[I]] + } + if(I==Nall-1) { + Nagasa<-Nagasa*varargin[[Nall]] + Nall <- Nall-1 + } + if(I==Nall-2) { + Nagasa <- Nagasa*varargin[[Nall-1]] + Ookisa <- round(Ookisa*varargin[[Nall]]) + Nall <- Nall-2 + } + Nagasa <- 1000/2.54/MilliIn*Nagasa + for (N in 1:Nall) { + Pdata <- varargin[[N]] + if(mode(Pdata)=="numeric") { + Pdata <- list(Pdata) + } + for (II in 1:length(Pdata)) { + Clist <- MakeCurves(Op(II,Pdata)) + DinM <- Dataindex(Clist) + for (n in Looprange(1,Nrow(DinM))) { + Tmp <- DinM[n,] + Data <- Clist[Tmp[1]:Tmp[2],] + Len <- 0 + Lenlist <- c(0) + for (I in Looprange(2,Nrow(Data))) { + Len <- Len+Norm(Data[I,]-Data[I-1,]) + Lenlist <- c(Lenlist,Len) + } + Lenall <- Lenlist[length(Lenlist)] + if(Lenall==0) { + next + } + Naga <- Nagasa + Nten <- round(Lenall/Naga)+1 + if(Nten > 1) { + Seg <- Lenall/(Nten-1) + } + else { + Seg <- Lenall + } + Eps <- 10^(-6)*Seg + PPd<-c() + Hajime <- 1 + for (I in Looprange(0,Nten-1)) { + Len <- Seg*I + if(I>0) { + J <- Hajime + while( Len>=Lenlist[J]+Eps) { + J <- J+1 + } + Hajime <- J-1 + } + T <- (Len-Lenlist[Hajime])/ + (Lenlist[Hajime+1]-Lenlist[Hajime]) + P <- Data[Hajime,]+T*(Data[Hajime+1,]-Data[Hajime,]) + PPd<-Appendrow(PPd,P) + if(I==Nten-1) { + if(Norm(P-Data[1,])<Eps) { + next + } + } + } + Str<-paste("\\special{pn ", as.character(Ookisa),"}%\n",sep="") + cat(Str,file=Wfile,append=TRUE) + for (I in Looprange(1,Nrow(PPd))){ + P<- Op(I,PPd) + if(Nrow(PPd)==1){ + V<- c(1,0) + } + else if(I==1){ + Tmp<- Op(I+1,PPd)-P + V<- 1/Norm(Tmp)*Tmp + } + else if(I==Nrow(PPd)){ + Tmp<- P-Op(I-1,PPd) + V<- 1/Norm(Tmp)*Tmp + } + else{ + Tmp1<- Op(I+1,PPd)-P + Tmp2<- P-Op(I-1,PPd) + Tmp3<-1/Norm(Tmp1)*Tmp1+1/Norm(Tmp2)*Tmp2 + V<- 1/Norm(Tmp3)*Tmp3 + } + Tmp<- round(MilliIn*P[1]-1/2*Ookisa*V[1]) + X<- as.character(Tmp) + Tmp<- -round(MilliIn*P[2]-1/2*Ookisa*V[2]) + Y<- as.character(Tmp) + Str<-paste("\\special{pa ",X," ",Y,"}",sep="") + cat(Str,file=Wfile,append=TRUE) + Tmp<- round(MilliIn*P[1]+1/2*Ookisa*V[1]) + X<- as.character(Tmp) + Tmp<- -round(MilliIn*P[2]+1/2*Ookisa*V[2]) + Y<- as.character(Tmp) + Str<-paste("\\special{pa ",X," ",Y,"}",sep="") + cat(Str,file=Wfile,append=TRUE) + cat("\\special{fp}",file=Wfile,append=TRUE) + if(I%%2==0){ + cat("%\n",file=Wfile,append=TRUE) + } + } + } + } + } + Tmp<-PenThick/PenThickInit + Setpen(Tmp); +} + +########################################### + +Drwline<-function(...) +{ + varargin<-list(...) + Nall<-length(varargin) + Thick<-0 + Tmp<-varargin[[Nall]] + if(mode(Tmp)=="numeric" && length(Tmp)==1){ + Thick<-round(Tmp*PenThickInit) + Str<-paste("\\special{pn ", as.character(Thick),"}%\n",sep="") + cat(Str,file=Wfile,append=TRUE) + Nall<-Nall-1 + } + for (N in 1:Nall){ + Pdata<-varargin[[N]] + if(length(Pdata)==0) next + if(mode(Pdata)!="list") Pdata<-list(Pdata) + while(Mixtype(Pdata)==3){ # 10.07.25 + Tmp1<- list() + for(II in Looprange(1,length(Pdata))){ + Tmp1<- Mixjoin(Tmp1,Pdata[[II]]) + } + Pdata<- Tmp1 + } # 10.07.25 + for (II in Looprange(1,length(Pdata))){ + Clist<-MakeCurves(Pdata[[II]]) + DinM<-Dataindex(Clist) + for (n in Looprange(1,Nrow(DinM))){ + Tmp<-DinM[n,] + Data<-Clist[Tmp[1]:Tmp[2],] + Mojisu<-0 + for (I in Looprange(1,Nrow(Data))){ + Tmp<-Data[I,] + X<- sprintf("%5.0f",MilliIn*Tmp[1]) # 11.07.19 + Y<- sprintf("%5.0f",-MilliIn*Tmp[2]) # 11.07.19 + Str<-paste("\\special{pa ",X," ",Y,"}",sep="") + cat(Str,file=Wfile,append=TRUE) + Mojisu<-Mojisu+nchar(Str) + if(Mojisu>80){ + cat("%\n",file=Wfile,append=TRUE) + Mojisu<-0 + } + } + if(Mojisu!=0){ + cat("%\n",file=Wfile,append=TRUE) + } + cat("\\special{fp}%\n",file=Wfile,append=TRUE) + } + } + } + Str<-"%" + if(Thick>0){ + Tmp<-PenThick/PenThickInit + Setpen(Tmp) + } +} + +########################################### + +Drwpt<-function(...) +{ ## Scaling is implemented + varargin<-list(...) + Nargs<-length(varargin) + if(TenSize>TenSizeInit){ + N<- round(6*sqrt(TenSize/TenSizeInit)) + } + else{ + N<-4 + } + Tmp<- varargin[[Nargs]] + if(mode(Tmp)=="numeric"){ + if(length(Tmp)>1){ + Kosa<- 1; All<- Nargs + } + else{ + Kosa<- Tmp; All<- Nargs-1 + } + } + else if(mode(Tmp)=="list"){ + Kosa<- 1; All<- Nargs + } + CL<-c() + for (J in 0:N){ + Tmp<- TenSize*0.5*1000/2.54/MilliIn + Tmp<- Tmp*c(cos(pi/4+J*2*pi/N),sin(pi/4+J*2*pi/N)) + CL<- append(CL,Tmp) + } + CL<- matrix(CL,nrow=2) + CL<- t(CL) + for (II in Looprange(1,All)){ + MS<- varargin[[II]] + MS=Flattenlist(MS) #17.10.11 + if(mode(MS)=="numeric"){ + MS<- list(MS) + } + for (I in Looprange(1,length(MS))){ + P<- MS[[I]] + if(InWindow(P)!="i") next + P<- Doscaling(P) + PL<-c() + for (J in 0:N){ + PL<- c(PL,P+CL[J+1,]) + } + PL<-matrix(PL,nrow=2) + PL<-t(PL) + Mojisu<-0 + for (J in 1:Nrow(PL)){ + Q<- PL[J,] + X<- as.character(round(MilliIn*Q[1])) + Y<- as.character(-round(MilliIn*Q[2])) + Str<- paste("\\special{pa ",X," ",Y,"}",sep="") + cat(Str,file=Wfile,append=TRUE) + Mojisu<- Mojisu+nchar(Str) + if(Mojisu>80){ + cat("#\n",file=Wfile,append=TRUE) + } + Mojisu=0 + } + Str1<- paste("\\special{sh ",as.character(Kosa),"}",sep="") + Str2<- "\\special{fp}%\n" + cat(Str1,file=Wfile,append=TRUE) + cat(Str2,file=Wfile,append=TRUE) + } + } +} + +###################################################### + +Drwxy<-function(...) +{ + varargin<-list(...) + Nargs <- length(varargin) + Tmp<-grep("arrow", ZIKU) + if(length(Tmp)>0) + { + Arrowline(c(XMIN,GENTEN[2]),c(XMAX,GENTEN[2]),ARROWSIZE) + Arrowline(c(GENTEN[1],YMIN),c(GENTEN[1],YMAX),ARROWSIZE) + } + else + { + Drwline(Listplot(c(XMIN,GENTEN[2]),c(XMAX,GENTEN[2]))) + Drwline(Listplot(c(GENTEN[1],YMIN),c(GENTEN[1],YMAX))) + } + Letter(c(XMAX,GENTEN[2]),XPOS,XNAME) + Letter(c(GENTEN[1],YMAX),YPOS,YNAME) + Letter(GENTEN,OPOS,ONAME); +} + +########################################## +# 10.12.04 + +Enclosing<- function(...) +{ + Eps=10^(-7) # Scilab 16.12.05 + varargin<- list(...) + Nargs<- length(varargin) + P<- varargin[[1]] + if(Mixtype(P)==2){ + Tmp<- Op(1,P) + if(mode(Tmp)!="numeric" || length(Tmp)>1){ + AnsL<- EnclosingS(...) + AnsL<- Joincrvs(AnsL) # 10.12.04 + } + } + Tmp1=Op(1,AnsL) # Scilab 16.12.05from + Tmp2=Op(nrow(AnsL),AnsL) + if(Norm(Tmp2-Tmp1)>Eps){ + AnsL=Appendrow(AnsL,Tmp1) + } + return(AnsL) +} + +######################################### + +EnclosingS<- function(...) +{ + varargin<- list(...) + Nargs<- length(varargin) + AnsL<- list() + PdataL<- varargin[[1]] + Nall<-length(PdataL) + Eps<- 10^(-3) + EEps<- 0.1 + S<- c() + Flg<- 0 + for (I in Looprange(2,Nargs)){ + Tmp<- varargin[[I]] + if(mode(Tmp)=="numeric" && Nrow(Tmp)==1 && length(Tmp)>1){ + S<- Tmp + } + if(mode(Tmp)=="numeric" && length(Tmp)==1){ + if(Flg==0){ + Eps<- Tmp + Flg=Flg+1 + } + else{ + EEps<- Tmp + } + } + } + F<- Op(1,PdataL); G<- Op(Nall,PdataL) + KL<- IntersectcrvsPp(F,G) + if(length(KL)==1){ + Tmp<- Op(1,KL) + P<- Op(1,Tmp) + T1<- Op(2,Tmp) + } + if(length(KL)==0){ + if(Numptcrv(F)>Numptcrv(G)){ + Tmp<- Nearestpt(F,G) + P<- Op(1,Tmp) + T1=Op(2,Tmp) + } + else{ + Tmp<- Nearestpt(G,F) + P<- Op(3,Tmp) + T1<- Op(4,Tmp) + } + } + if(length(KL)>=2){ + if(length(S)==0){ + return("No Start Point") + } + Tmp<- Op(1,KL) + P<- Op(1,Tmp) + T1<- Op(2,Tmp) + Tmp<- Norm(P-S) + for (I in Looprange(2,length(KL))){ + Tmp1<- Op(1,Op(I,KL)) + Tmp2<- Norm(Tmp1-S) + if(Tmp2<Tmp){ + P<- Tmp1 + T1<- Op(2,Op(I,KL)) + Tmp<- Tmp2 + } + } + } + S<- P + AnsL<- list() + for (N in Looprange(1,Nall)){ + F<- Op(N,PdataL) + if(N>1) P<- Q + if(N==Nall){ + Q=S + } + else{ + Flg<- 0 + G<- Op(N+1,PdataL) + KL<- IntersectcrvsPp(G,F) + if(length(KL)==1){ + Tmp<- Op(1,KL) + Q<- Op(1,Tmp) + T3<- Op(2,Tmp) + Flg<- 10 + } + if(length(KL)==0) Flg<- 1 + if(length(KL)>=2){ # Maple bug? + Tmp1<- Op(1,Op(1,KL)) + Tmp2<- Op(1,Op(2,KL)) + Tmp<- Norm(Tmp1-Tmp2) + if(Tmp<Eps*10) Flg<- 1 + } + if(Flg==1){ + if(Numptcrv(F)>Numptcrv(G)){ + Tmp<- Nearestpt(F,G) + Q<- Op(1,Tmp) + T3<- Op(4,Tmp) + Flg<- 10 + } + else{ + Tmp<- Nearestpt(G,F) + Q<- Op(3,Tmp) + T3<- Op(2,Tmp) + Flg<- 10 + } + } + if(Flg<10){ + T2<- Inf + for (I in Looprange(1,length(KL))){ + Dt<- Op(I,KL) + Tmp1<- Op(1,Dt) + Tmp<- Op(3,Dt) + Tmp2<- Paramoncurve(Tmp1,Tmp,F) + Tmp3<- Op(2,Dt) + if(Tmp2>T1+Eps && Tmp2<T2-Eps){ + Q<- Tmp1 + T2<- Tmp2 + T3<- Tmp3 + } + } + } + } + Tmp<- Partcrv(P,Q,F) + T1<- T3 + AnsL<- Mixjoin(AnsL,list(Tmp)) + } + return(AnsL) +} + +######################################## + +Endpicture<-function(...) +{ + varargin<-list(...) + Nargs<-length(varargin) + if(Nargs==0) + { + Drwxy() + } + else + { + if(varargin[[1]]==1) Drwxy() + } + cat("\\end{picture}}%",file=Wfile,append=TRUE) +# MEMORI<<-MEMORINow*1000/2.54/MilliIn + Setunitlen("1cm") +} + +######################################### + +Execmd<- function(StrL) +{ + if(mode(StrL)=="character" && length(StrL)==1){ + StrL<- list(StrL) + } + for (I in Looprange(1,length(StrL))){ + if(!is.na(Op(I,StrL)) && nchar(Op(I,StrL))>0){ + eval(parse(text=Op(I,StrL))) + } + } +} + +######################################### + +Expr<-function(...) +{ ## Scaling is implemented + varargin<-list(...) + Nargs<-length(varargin) + Irng<-c(seq(from=1,to=Nargs,by=3)) + for (I in Irng) + { + Tmp<-varargin[[I]] + P<- Doscaling(Tmp) + X<-P[1] + Y<-P[2] + Houkou<-varargin[[I+1]] + Mojiretu<-paste("$",varargin[[I+2]],"$",sep="") + Hset<-Houkou + Vhoko<-"c" + if(length(grep("n",Hset))>0) + { + Vhoko<-"n"; Y<-Y+MEMORI + } + if(length(grep("s",Hset))>0) + { + Vhoko<-"s"; Y<-Y-MEMORI + } + Hhoko<-"c" + if(length(grep("e",Hset))>0) + { + Hhoko<-"e"; X<-X+MEMORI + } + if(length(grep("w",Hset))>0) + { + Hhoko<-"w"; X<-X-MEMORI + } + Hoko<-paste(Vhoko,Hhoko,sep="") + Suu<-"+-.0123456789" + SuuL<-Suu + J<-1; Dstr<-"" + while (J<=nchar(Houkou)) + { + Tmp<-substring(Houkou,J,J) + if(length(grep(Tmp,Suu))>0) + { + if(Dstr=="") Hk<-substring(Houkou,J-1,J-1) + Dstr<-paste(Dstr,Tmp,sep="") + } + else + { + if(Dstr!="") + { + Nmbr<-as.numeric(Dstr) + D<-Nmbr*MEMORI + if(Hk=="n") Y<-Y+D + if(Hk=="s") Y<-Y-D + if(Hk=="e") X<-X+D + if(Hk=="w") X<-X-D + Dstr<-"" + } + } + J<-J+1 + } + if(Dstr!="") + { + Nmbr<-as.numeric(Dstr) + D<-Nmbr*MEMORI; + if(Hk=="n") Y<-Y+D + if(Hk=="s") Y<-Y-D + if(Hk=="e") X<-X+D + if(Hk=="w") X<-X-D + } + CalcWidth(Hoko,Mojiretu) + CalcHeight(Hoko,Mojiretu) + cat("\\put(",file=Wfile,append=TRUE) + Tmp1<- sprintf("%7.7f",X) # 11.07.19 + Tmp2<- sprintf("%7.7f",Y) # 11.07.19 + Str<-paste(Tmp1,",",Tmp2,sep="") + cat(Str,file=Wfile,append=TRUE) + Tmp<-"){\\hspace*{\\Width}" + Str<-paste(Tmp,"\\raisebox{\\Height}{",Mojiretu,"}}%\n",sep="") + cat(Str,file=Wfile,append=TRUE) + cat("%\n",file=Wfile,append=TRUE) + } +} + +########################################## + +Exprrot<- function(...) +{ + varargin<- list(...) + P<- varargin[[1]] + V<- varargin[[2]]; N<- 3 + P<- Doscaling(P) + V<- Doscaling(V) + Tmov<- 0 + Tmp<- varargin[[N]] + if(mode(Tmp)=="numeric"){ + Tmov<- Tmp; N<- N+1 + } + Nmov<- 0 + Tmp<- varargin[[N]] + if(mode(Tmp)=="numeric"){ + Nmov<- Tmp; N<- N+1 + } + Mojiretu<- paste("$",Assign(varargin[[N]]),"$",sep="") # 2017.11.26 + Tv<- 1/Norm(V)*V + Nv<- c(-Tv[2],Tv[1]) + P<- P+MEMORI*Tmov*Tv+MEMORI*Nmov*Nv + Tmp<- acos(V[1]/Norm(V)) + Theta<- round(Tmp*180/pi) + if(V[2]>=0){ + Units<- "" + } + else{ + Units<- "units=-360," + } + Tmp<- paste("\\rotatebox[",Units,"origin=c]{",as.character(Theta),sep="") + Tmp<- paste(Tmp,"}{",Mojiretu,"}",sep="") + Letter(P,"c",Tmp) +} + +###################################################### + +Findcell<- function(...) +{ + varargin<- list(...) + Nargs<- length(varargin) + TbL<- varargin[[1]] + Ag<- varargin[[2]] + Alpha<- "-ABCDEFGHIJKLMNOPQRSTUVWXYZ" + if(mode(Ag)=="character"){ + Clm<- c() + Rstr<- "" + for (I in Looprange(1,nchar(Ag))){ + C<- substr(Ag,I,I) + C<- toupper(C) + Tmp<- strsplit(Alpha,C) + Tmp<- Tmp[[1]] + if(length(Tmp)>1){ + Tmp1<- nchar(Tmp[1]) + Clm<- c(Clm,Tmp1) + } + else{ + Rstr<- paste(Rstr,C,sep="") + } + } + Nrg<- 0 + for (I in seq(length(Clm),1,by=-1)){ + Tmp<- Clm[I] + Tmp1<- length(Clm)-I + Nrg<- Nrg+Tmp*26^Tmp1 + } + Mrg<- eval(parse(text=Rstr)) + if(Nargs>=3){ + Ag<- varargin[[3]] + Clm<- c() + Rstr<- "" + for (I in Looprange(1,nchar(Ag))){ + C<- substr(Ag,1,1) + C<- toupper(C) + Tmp<- strsplit(Alpha,C) + if(length(Tmp)>1){ + Clm<- c(Clm,Tmp+1) + } + else{ + Rstr<- paste(Rstr,C,sep="") + } + } + Nrg2<- 0 + for (I in seq(length(Clm),1,by=-1)){ + Tmp<- Clm[I] + Tmp1<- length[Clm]-I + Nrg2<- Nrg2+Tmp*26^Tmp1 + } + Nrg<- c(Nrg,Nrg2) + Tmp=eval(parse(text=Rstr)) + Mrg<- c(Mrg,Tmp) + } + } + else{ + Nrg<- varargin[[2]] + Mrg<- varargin[[3]] + } + if(length(Mrg)==1){ + m1<- Mrg; m2<- m1+1 + } + else{ + m1<- Mrg[1]; m2<- Mrg[2] # 10.12.12 + } + if(length(Nrg)==1){ + n1<- Nrg; n2<- n1+1 + } + else{ + n1<- Nrg[1]; n2<- Nrg[2] + } + n1<- n1+1; n2<- n2+1 + m1<- m1+1; m2<- m2+1 + Hind<- TbL[[2]] + Vind<- TbL[[3]] + Tmp<- TbL[[1]] + HL<- Tmp[Hind] + Tmp1<- Op(1,TbL[[4]]) + Tmp2<- Op(2,TbL[[4]]) + HL<- Mixjoin(list(Tmp1),HL,list(Tmp2)) + VL<- Tmp[Vind] + Tmp1<- Op(1,TbL[[5]]) + Tmp2<- Op(2,TbL[[5]]) + VL<- Mixjoin(list(Tmp1),VL,list(Tmp2)) + Tmp<- TbL[[6]] + Tmp1<- Listplot(c(Ptsw(Tmp),Ptnw(Tmp))) + Tmp2<- Listplot(c(Ptse(Tmp),Ptne(Tmp))) + HL<- Mixjoin(list(Tmp1),HL,list(Tmp2)) + Tmp1<- Listplot(c(Ptnw(Tmp),Ptne(Tmp))) + Tmp2<- Listplot(c(Ptsw(Tmp),Ptse(Tmp))) + VL<- Mixjoin(list(Tmp1),VL,list(Tmp2)) + Tmp<- HL[[n1]] + if(mode(Tmp)=="numeric"){ + H1<- Tmp[1,1] + } + else{ + Tmp1<- Tmp[[1]] + H1<- Tmp1[1,1] + } + Tmp<- HL[[n2]] + if(mode(Tmp)=="numeric"){ + H2<- Tmp[1,1] + } + else{ + Tmp1<- Tmp[[1]] + H2<- Tmp1[1,1] + } + Tmp<- VL[[m1]] + if(mode(Tmp)=="numeric"){ + V1<- Tmp[1,2] + } + else{ + Tmp1<- Tmp[[1]] + V1<- Tmp1[1,2] + } + Tmp<- VL[[m2]] + if(mode(Tmp)=="numeric"){ + V2<- Tmp[1,2] + } + else{ + Tmp1<- Tmp[[1]] + V2<- Tmp1[1,2] + } + Pt<- c((H1+H2)/2,(V1+V2)/2) + High<- (V1-V2)/2 + Wide<- (H2-H1)/2 + Out<- list(Pt,Wide,High) + return(Out) +} + +############################################ + +Flattenlist<- function(...){ + varargin<- list(...) + Nargs<- length(varargin) + Out<- list() + for(N in Looprange(1,Nargs)){ + D<- varargin[[N]] + if(is.data.frame(D) || !is.list(D)){ # modify + Out<- c(Out,list(D)) + } + else{ + for(I in Looprange(1,length(D))){ + Ds<- D[[I]] + Tmp<- Flattenlist(Ds) + Out<- c(Out,Tmp) + } + } + } + return(Out) +} + +############################################ + +Fontsize<- function(Ookisa) +{ + Str<- "%" + S<- substr(Ookisa,1,1) + if(S=="n"){ + Str<- "\\normalsize%" + } + if(S=="s"){ + if(nchar(Ookisa)==1){ + Tmp<- "n" + } + else{ + Tmp<- substr(Ookisa,2,2) + } + if(Tmp=="s"){ + Str<- "\\scriptsize%" + } + else{ + Str<- "\\small%" + } + } + if(S=="f"){ + Str<- "\\footnotesize%" + } + if(S=="t"){ + Str<- "\\tiny%" + } + if(S=="l"){ + Str<- "\\large%" + } + if(S=="L"){ + if(nchar(Ookisa)==1){ + Tmp<- "a" + } + else{ + Tmp<- substr(Ookisa,2,2) + } + if(Tmp=="a"){ + Str<- "\\Large%" + } + else{ + Str<- "\\LARGE%" + } + } + if(S=="h"){ + Str<- "\\huge%" + } + if(S=="H"){ + Str<- "\\Huge%" + } + cat(Str,file=Wfile,append=TRUE) + cat("\n",file=Wfile,append=TRUE) +} + +########################################## + +Fracform<- function(...) +{ + varargin<- list(...) + Eps<- 10^(-10) + Nmax<- 1/Eps + Nargs<- length(varargin) + X<- varargin[[1]] + Nr<- Nrow(X) + X<- as.matrix(X,nrow=Nr) + for (I in Looprange(2,Nargs)){ + Tmp<- varargin[[I]] + if(mode(Tmp)!="numeric"){ + next + } + if(Tmp>1){ + Nmax<- Tmp + } + else if(Tmp>0){ + Eps<- Tmp + } + } + Tmp<- rep("",length(X)) + Out<- matrix(Tmp,nrow=nrow(X)) + for (I in Looprange(1,nrow(X))){ + for (J in Looprange(1,ncol(X))){ + Dt<- X[I,J] + if(mode(Dt)=="character"){ + Dt<- eval(parse(text=Dt)) + } + R<- 1 + N<- 0 + Rmin<- R + Nr<- N + while (R>Eps && N<Nmax){ + N<- N+1 + M<- round(Dt*N) + R<- abs(Dt-M/N) + if(R<Rmin){ + Rmin<- R + Nr<- N + } + } + if(N==Nmax){ + N<- Nr + M<- round(Dt*N) + } + Tmp<- as.character(M) + if(N!=1){ + Tmp<- paste(Tmp,"/",as.character(N),sep="") + } + Out[I,J]<- Tmp + } + } + if(nrow(Out)==1){ + Out<- as.character(Out) + } + return(Out) +} + +############################################## +# 2011.12.17 ( list ) + +Framedata<-function(...) +{ + varargin<- Flattenlist(list(...)) + N<-length(varargin) + if(N<= 1){ + H<- 1.0*10^(-4); + PA<-c(XMIN+H,YMIN+H) + PB<-c(XMAX-H,YMIN+H) + PC<-c(XMAX-H,YMAX-H) + PD<-c(XMIN+H,YMAX-H) + } + else{ + Tmp<-varargin[[N]] + if(is.numeric(Tmp) && length(Tmp)==1){ + Dy<-Tmp; Dx<-Dy + Tmp<-varargin[[N-1]] + if(is.numeric(Tmp) && length(Tmp)==1){ + Dx<-Tmp + } + Tmp<-varargin[[1]] + X<-Tmp[1]; Y<-Tmp[2] + X1<-X-Dx; X2<-X+Dx; Y1<-Y-Dy; Y2<-Y+Dy + } + else{ + Tmp<-varargin[[1]] + X1<-Tmp[1]; X2<-Tmp[2] + Tmp<-varargin[[2]] + Y1<-Tmp[1]; Y2<-Tmp[2] + } + PA<-c(X1,Y1); PB<-c(X2,Y1) + PC<-c(X2,Y2); PD<-c(X1,Y2) + } + Out<- Listplot(c(PA,PB,PC,PD,PA)) + return(Out) +} + +################################### + +Hatchdata<- function(...) +{ ## Scaling is implemented + varargin<- list(...) + ShaL<- list() + Nargs<- length(varargin) + Kakudo<- 45 + Kankaku<- 0.125*1000/2.54/MilliIn + Tmp<- Doscaling(c(XMIN,YMIN)) + Xmn<- Tmp[1]; Ymn<- Tmp[2] + Tmp<- Doscaling(c(XMAX,YMAX)) + Xmx<- Tmp[1]; Ymx<- Tmp[2] + for (N in seq(Nargs,1, by=-1)) + { + Tmp<- varargin[[N]] + if(mode(Tmp)=="list") + { + break + } + } + if(N<Nargs) + { + Kakudo<- varargin[[N+1]] + if(N==Nargs-2) + { + Kankaku<- 0.125*varargin[[Nargs]] + } + } + NaitenL<- varargin[[1]] + if(mode(NaitenL)!="list") + { + NaitenL<- list(NaitenL) + } + Ns<- 2 + StartP<- Op(1,NaitenL) + if(mode(StartP)=="character") + { + StartP<- c((Xmn+Xmx)/2, (Ymn+Ymx)/2) + } + if(mode(varargin[[2]])=="numeric") + { + StartP<- varargin[[2]] + StartP<- Doscaling(StartP) + Ns<- 3 + } + Tmp<- list() + for ( I in Looprange(Ns,N)) + { + Tmp1<- list(varargin[[I]]) + Tmp2<- Mixjoin(Tmp, Tmp1) + Tmp<- Tmp2 + } + Bdy<- Kyoukai(Tmp) + Bdys<-list() + for (I in 1:length(Bdy)) + { + Tmp1<- Bdy[[I]] + Tmp2<- Doscaling(Tmp1) + Bdys<- Mixjoin(Bdys,list(Tmp2)) + } + Bdy<- Bdys + PtnL<- list() + for (I in Looprange(1,length(NaitenL))) + { + Tmp<- Op(I, NaitenL) + if(mode(Tmp)=="numeric") + { + Tmp1<- Naigai(Tmp,Bdy) + Tmp2<- Mixjoin(PtnL, list(Tmp1)) + PtnL<- Tmp2 + } + else + { + if(mode(Tmp)!="character") + { + return("Mode Error") + } + Ptn<-c() + for (J in 1:nchar(Tmp)) + { + if(Op(J,Tmp)=="i") + { + Ptn<- c(Ptn,1) + } + else + { + Ptn<- c(Ptn,0) + } + } + PtnL<- Mixjoin(PtnL, list(Ptn)) + } + } + Call<- length(Bdy) + Ptn<- c(seq(0, 0, length=Call)) + if(Member(Ptn,PtnL)) + { + Wn<- Doscaling(Framedata()) + Tmp<- Mixjoin(Bdy,list(Wn)) + Bdy<- Tmp + Tmp<- list() + for (I in Looprange(1, length(PtnL))) + { + Tmp1<- c(Op(I,PtnL),1) + Tmp2<- Mixjoin(Tmp,list(Tmp1)) + Tmp<- Tmp2 + } + PtnL<- Tmp + } + V<- c(cos(Kakudo*pi/180),sin(Kakudo*pi/180)) + Vm<- c(-sin(Kakudo*pi/180),cos(Kakudo*pi/180)) + Tmp<- Op(1,NaitenL) + if(mode(Tmp)=="numeric" && length(Tmp)==2) + { + Tmp<- Doscaling(Tmp) + Delta<- Tmp-StartP + K<- trunc(Dotprod(Delta,Vm)/Kankaku) + PA<- StartP+K*Kankaku*Vm + Sha<- Makeshasen(PtnL,PA,V,Bdy) + I <- 1 + while (length(Sha)>0) + { + Tmp<- Mixjoin(ShaL, list(Sha)) + ShaL <- Tmp + Sha<- Makeshasen(PtnL,PA+I*Kankaku*Vm,V,Bdy) + I <- I+1 + } + Sha<- Makeshasen(PtnL,PA-Kankaku*Vm,V,Bdy) + I<- 2 + while (length(Sha)>0) + { + for (J in 1:length(Sha)) + { + Tmp<- Mixjoin(ShaL,list(Sha[[J]])) + ShaL<- Tmp + } + Sha<- Makeshasen(PtnL,PA-I*Kankaku*Vm,V,Bdy) + I<- I+1 + } + } + else + { + Delta<- c(Xmn,Ymn)-StartP + K1<- trunc(Dotprod(Delta,Vm)/Kankaku) + Delta<- c(Xmx,Ymn)-StartP + K2<- trunc(Dotprod(Delta,Vm)/Kankaku) + Delta<- c(Xmx,Ymx)-StartP + K3<- trunc(Dotprod(Delta,Vm)/Kankaku) + Delta<- c(Xmn,Ymx)-StartP + K4<- trunc(Dotprod(Delta,Vm)/Kankaku) + IM<- max(K1,K2,K3,K4) + Im<- min(K1,K2,K3,K4) + for (I in Im:IM) + { + Sha<- Makeshasen(PtnL,StartP+I*Kankaku*Vm,V,Bdy) + for (J in Looprange(1,length(Sha))) + { + Tmp<- Mixjoin(ShaL, list(Sha[[J]])) + ShaL<- Tmp + } + } + } + ShaLs<-list() + for (I in Looprange(1,length(ShaL))) + { + Tmp<- ShaL[[I]] + Tmp1<- Unscaling(Tmp) + Tmp2<- Mixjoin(ShaLs, list(Tmp1)) + ShaLs<- Tmp2 + } + ShaL<- ShaLs + return(ShaL) +} + +###################################### + +Htickmark<- function(...) +{ ## Scaling is implemented + varargin<- list(...) + Nargs<- length(varargin) + ArgsL<- varargin + if(mode(ArgsL[[1]])=="character"){ + Str<- ArgsL[[1]] + Tmp<- strsplit(Str,"m") + Tmp<- Tmp[[1]] + if(length(Tmp)>1){ + I<- nchar(Tmp[1])+1 + } + else{ + I<- 0 + } + Tmp<- strsplit(Str,"n") + Tmp<- Tmp[[1]] + if(length(Tmp)>1){ + J<- nchar(Tmp[1])+1 + } + else{ + J<- 0 + } + Tmp<- strsplit(Str,"r") + Tmp<- Tmp[[1]] + if(length(Tmp)>1){ + K=nchar(Tmp[1])+1 + } + else{ + K<- 0 + } + if(K>0){ + S<- substr(Str,K+1,nchar(Str)) + R<- as.numeric(S) + if(is.na(R)){ + R<- 1 + } + } + else{ + R<- 1 + K<- nchar(Str)+1 + } + if(J>0){ + S<- substr(Str,J+1,K-1) + Dn<- as.numeric(S) + if(is.na(Dn)){ + Dn<- 1 + } + } + else{ + Dn<- 1000 + J<- nchar(Str)+1 + } + S<- substr(Str,I+1,J-1) + Dm<- as.numeric(S) + if(is.na(Dm)){ + Dm<- 1 + } + ArgsL<- list() + for (I in Looprange(1, floor((XMAX-GENTEN[1])/Dm))){ + ArgsL<- Mixjoin(ArgsL,I*Dm) + if(I-floor(I/Dn)*Dn==0){ + Str<- as.character(I*Dm*R) + ArgsL<- Mixjoin(ArgsL,Str) + } + } + for (I in seq(-1,ceiling((XMIN-GENTEN[1])/Dm),by=-1)){ + ArgsL<- Mixjoin(ArgsL,I*Dm) + if(I-floor(I/Dn)*Dn==0){ + Str<- as.character(I*Dm*R) + ArgsL<- Mixjoin(ArgsL,Str) + } + } + } + MemoriList<- list() + Memori<- list() + for (N in 1:length(ArgsL)){ + Dt<- ArgsL[[N]] + if(mode(Dt)=="numeric" && length(Dt)>1){ + if(length(Memori)>0){ + MemoriList<- Mixjoin(MemoriList,list(Memori)) + } + Memori<- list(Dt[1],Dt[2]) + next + } + if(mode(Dt)=="character"){ + Memori<- Mixjoin(Memori,Dt) + } + else{ + if(length(Memori)>0){ + MemoriList<- Mixjoin(MemoriList,list(Memori)) + } + Memori<- list(Dt,GENTEN[2]) + } + } + MemoriList<- Mixjoin(MemoriList,list(Memori)) + for (N in 1:length(MemoriList)){ + Dt<- MemoriList[[N]] + Ndt<- length(Dt) + X=Op(1,Dt) + Y=Op(2,Dt) + Tmp<-Doscaling(c(X,Y)) + X<- Tmp[1] + Y<- Tmp[2] + Moji<- Op(Ndt,Dt) + Tmp1<- Unscaling(c(X,Y+MARKLEN)) + Tmp2<- Unscaling(c(X,Y-MARKLEN)) + Fd<- Listplot(c(Tmp1,Tmp2)) + Drwline(Fd) + if(Ndt==3){ + Tmp<-Unscaling(c(X,Y-MARKLEN)) + Expr(Tmp,"s",Moji) + } + if(Ndt==4){ + Houkou<- Op(3,Dt) + Tmp<-grep("s",Houkou) + if(length(Tmp)>0){ + Tmp<-Unscaling(c(X,Y-MARKLEN)) + Expr(Tmp,Houkou,Moji) + } + else{ + Tmp<- Unscaling(c(X,Y+MARKLEN)) + Expr(Tmp,Houkou,Moji) + } + } + cat("%\n",file=Wfile,append=TRUE) + } +} + +############################################# +# 2013.08.07 + +Integrate<- function(Fs,Vs, Intv){ + if(is.function(Fs)){ + Fn<- Fs + } + else{ + Str<- paste("Fn<- function(",Vs, ") ", Fs, sep="") + eval(parse(text=Str)) + } + Tmp<- integrate(Fn, Intv[[1]], Intv[[2]]) + Out<- Tmp[[1]] + return(Out) +} + +############################################# + +Intersectcrvs<-function(...) +{ + varargin<-list(...) + Nargs<-length(varargin) + Eps<-10^(-4) + Tmp<-varargin[[Nargs]] + if(mode(Tmp)=="numeric" && length(Tmp)==1) + { + Eps<-Tmp + } + G1<-varargin[[1]] + if(mode(G1)=="numeric") + { + G1<-list(G1) + } + G2<-varargin[[2]] + if(mode(G2)=="numeric") + { + G2<-list(G2) + } + PL<-list() + for (N in 1:length(G1)) + { + for (M in 1:length(G2)) + { + KL<-IntersectcrvsPp(G1[[N]],G2[[M]],Eps) + for (I in Looprange(1,length(KL))) + { + Tmp<-KL[[I]] + P<-Tmp[1] + PL<-append(PL,P) + } + } + } + return(PL) +} + +########################################### + +IntersectcrvsPp<-function(...) +{ + varargin<-list(...) + Nargs<-length(varargin) + G1<-varargin[[1]]; G2<-varargin[[2]] + Eps<- 10.0^(-4) + if(Nargs>2) Eps<-varargin[[3]] + SqEps<- 10.0^(-10) + Eps2<- 0.1 + if(Nargs>3) Eps2<-varargin[[4]] + Data1<-G1 + Data2<-G2 + if(Nrow(Data1)==Nrow(Data2)) + { + Tmp<-seq(Nrow(Data2),1, by=-1) + Tmp1<-Data2[Tmp,] + Eps0<-10^(-6) + Tmp2<-Norm(Data1-Data2) + Tmp3<-Norm(Data1-Tmp1) + if(Tmp2<Eps0||Tmp3<Eps0) + { + KL<-list() + return(KL) + } + } + KL1<-list() + KL2<-list() + for (I in Looprange(1,Nrow(Data1)-1)) + { + A<-Data1[I,] + B<-Data1[I+1,] + for (J in Looprange(1,Nrow(Data2)-1)) + { + P<-Data2[J,]; Q<-Data2[J+1,] + Tmp<-Koutenseg(A,B,P,Q,Eps,Eps2) + if(mode(Tmp)=="list") + { + if(Tmp[[3]]==0) + { + Tmp1<-list(Tmp[[1]],Tmp[[2]],I,J) + KL1<-append(KL1,list(Tmp1)) + } + else + { + Tmp2<-list(Tmp[[1]],Tmp[[2]],I,J) + KL2<-append(KL2, list(Tmp2)) + } + } + } + } + KL<-list() + if(length(KL1)>0) + { + Tmp<-KL1[[1]] + P<-Tmp[[1]] + T<-Tmp[[2]] + I<-Tmp[[3]] + J<-Tmp[[4]] + Tmp<-list(P,I+T,J) + KL<-list(Tmp) + } + for (N in Looprange(2,length(KL1))) + { + Tmp<-KL1[[N]] + P<-Tmp[[1]] + Flg<-0 + for (K in 1:length(KL)) + { + if(1>length(KL)) break + Tmp<-KL[[K]] + if(Norm(P-Tmp[[1]])^2<SqEps) + { + Flg<-1 + break + } + } + if(Flg==0) + { + Tmp<-KL1[[N]] + T<-Tmp[[2]] + I<-Tmp[[3]] + J<-Tmp[[4]] + Tmp<-list(P,I+T,J) + KL<-append(KL,list(Tmp)) + } + } + for (N in Looprange(1,length(KL2))) + { + Tmp<-KL2[[N]] + P<-Tmp[[1]] + Flg<-0 + for (K in Looprange(1,length(KL))) + { + Tmp<-KL[[K]] + if(Norm(P-Tmp[[1]])^2<SqEps) + { + Flg<-1 + break + } + } + if(Flg==0) + { + Tmp<-KL2[[N]] + T<-Tmp[[2]] + T<-min(max(T,0),1) + I<-Tmp[[3]] + J<-Tmp[[4]] + Tmp<-list(P,I+T,J) + KL<-append(KL,list(Tmp)) + } + } + return(KL) +} + +########################################### +# 13.12.20 debugged + +Invdashline<- function(...) +{ + varargin<- list(...) + Nargs<- length(varargin) + Nall<- Nargs; Sen<- 1 ; Gap<- 1 + Tmp<- varargin[[Nall]] + if(is.numeric(Tmp) && length(Tmp)==1 && Tmp>0){ # 13.12.20 + Tmp1<- varargin[[Nall-1]] + if(is.numeric(Tmp1) && length(Tmp1)==1 && Tmp1>0){ # 13.12.20 + Sen<- Tmp1; Gap<- Tmp + Nall<- Nall-2 + } + else{ + Sen<- Tmp; Gap<- Sen + Nall<- Nall-1 + } + } + Sen<- 1000/2.54/MilliIn*Sen + Gap<- 1000/2.54/MilliIn*Gap + for (N in Looprange(1,Nall)){ + Figdata<- varargin[[N]] + Makehasen(Figdata,Sen,Gap,1) + } +} + +######################################### + +Invert<- function(Pd) +{ + OutL=Pd[nrow(Pd):1,] + return(OutL) +} + +############################################ + +InWindow<-function(PA) +{ + Eps<-10.0^(-6); + if((length(PA)==2)&(is.numeric(PA))){ # 17.11.20 + X<-PA[1]; Y<-PA[2]; + if(X>XMIN-Eps && X<XMAX+Eps && Y>YMIN-Eps && Y<YMAX+Eps) + Rx<-"i" + else + Rx<-"o" + return(Rx) + }else{ + return("o") + } +} + +####################################### + +Joincrvs<- function(...) +{ + varargin<- list(...) + Nall<- length(varargin) + Eps<- 10^(-4) + Tmp<- varargin[[Nall]] + if(mode(Tmp)=="numeric" && length(Tmp)==1){ + Eps<- Tmp + Nall<- Nall-1 + } + QdL<- Flattenlist(varargin[1:Nall]) # 11.06.25 + if(length(QdL)==0){ + PtL<-c() + return(PtL) + } + PtL<- Op(1,QdL) + for (I in Looprange(2,length(QdL))){ + Qd<- Op(I,QdL) + if(Numptcrv(Qd)<=1){next} # 11.06.25 + P<- Ptend(PtL) + S<- Ptstart(PtL) + Q<- Ptstart(Qd) + R<- Ptend(Qd) + MN<- min(Norm(P-Q),Norm(P-R),Norm(S-Q),Norm(S-R)) + if(MN==Norm(P-R)){ + Qd<- Invert(Qd) + } + else if(MN==Norm(S-Q)){ + PtL=Invert(PtL) + } + else if(MN==Norm(S-R)){ + PtL<- Invert(PtL) + Qd<- Invert(Qd) + } + if(MN>Eps){ + PtL<- Appendrow(PtL,Qd) + } + else{ + if(is.null(nrow(Qd))){ Qd<- as.matrix(Qd,nrow=1)} + PtL<- Appendrow(PtL,Qd[2:nrow(Qd),]) # 11.06.25 + } + } + return(PtL) +} + +######################################## +# 2011.11.02 + +Joingraphics<- function(...) +{ + varargin<- list(...) + Ls<- Flattenlist(varargin) + N<- length(Ls) + Tp<- Ls[[N]] + Listflg<- 0 + if( is.character(Tp)){ + Tmp<- toupper(substr(Tp,1,1)) + if(Tmp=="L"){ + Listflg<- 1 + } + N<- N-1 + Ls<- Ls[1:N] + } + if(Listflg==1){ + P<- Ls + } + else{ + P<- c() + for (I in 1:N){ + Tmp<- Ls[[I]] + P<- Appendrow(P,c(Inf,Inf)) + P<- Appendrow(P,Tmp) + } + P<- P[2:nrow(P),] + } + return(P) +} + +######################################## + +Kouten<- function(PA,V,P,Q) +{ + Eps<- 10.0^(-6) + A1<- PA[1]; A2<- PA[2] + V1<- V[1]; V2<- V[2] + P1<- P[1]; P2<- P[2] + U1<- Q[1]-P1; U2<- Q[2]-P2 + Tmp<- Norm(P-Q)*Norm(V) + if(Tmp==0) + { + Out<- list(Inf,-Inf) + return(Out) + } + D<- U1*V2-U2*V1 + if(abs(D)/Tmp<Eps) + { + Out<- list(Inf,-Inf) + return(Out) + } + S<- ((-A2+P2)*V1+(A1-P1)*V2)/D + if(S>1+Eps || S<Eps) + { + Out<-list(Inf,-Inf) + return(Out) + } + T<- ((-A2+P2)*U1+(A1-P1)*U2)/D + Tmp<- PA+T*V + Out<- list(T,Tmp,sign(D)) + return(Out) +} + +########################################## + +KoutenList<- function(PA,V,Bdy) +{ + Eps<-10.0^(-6) + TenL<-list() + for (N in 1:length(Bdy)) + { + KL<- Op(N,Bdy) + for (K in Looprange(1, Nrow(KL)-1)) + { + P<- Op(K,KL); Q<- Op(K+1,KL) + if(P!="/" && Q!="/") + { + Tmp<- Kouten(PA,V,P,Q); + if(Tmp[[1]]!=Inf) + { + Ten<- append(Tmp,N) + Flg<- 0 + NN<- length(TenL) + I<- 1 + while (Flg==0 && I<=NN) + { + Tmp<- Op(I,TenL) + if(Op(1,Ten)<Op(1,Tmp)-Eps) + { + Tmp1<- TenL[Looprange(1,I-1)] + Tmp2<- TenL[Looprange(I,length(TenL))] + TenL<- Mixjoin(Tmp1,list(Ten),Tmp2) + Flg<-1 + } + else + if(Op(1,Ten)<Op(1,Tmp)+Eps) + { + if(Op(4,Ten)!=Op(4,Tmp)) + { + Tmp1<- TenL[Looprange(1,I-1)] + Tmp2<- TenL[Looprange(I,length(TenL))] + TenL<- Mixjoin(Tmp1,list(Ten),Tmp2) + Flg<-1 + } + else + if(Op(3,Ten)!=Op(3,Tmp)) + { + Tmp1<- TenL[Looprange(I,I-1)] + Tmp2<- TenL[Looprange(I+1,length(TenL))] + TenL<- Mixjoin(Tmp1,Tmp2) + } + Flg<- 1 + } + I<- I+1 + } + if(Flg==0) + { + TenL<- Mixjoin(TenL,list(Ten)) + } + } + } + } + } + return(TenL) +} + +########################################## + +Koutenseg<-function(...) +{ + #pointdata on AB at which AB intersects CD + varargin<-list(...) + Nargs<-length(varargin) + Eps0 <- 10^(-4) + A<-varargin[[1]]; V<-varargin[[2]]-A + Sv2 <- V[1]^2+V[2]^2 + if(Sv2<10^(-6)) + { + Out<-Inf + return(Out) + } + P<-varargin[[3]]-A; Q<-varargin[[4]]-A + Eps <- 10.0^(-3) + if(Nargs>=5) + { + Eps<-varargin[[5]] + } + Eps2 <- 0.2 + if(Nargs>=6) + { + Eps2<-varargin[[6]] + } + Eps<-min(Eps2,Eps/sqrt(Sv2)) + P1<-(P[1]*V[1]+P[2]*V[2])/Sv2 + P2<-(-P[1]*V[2]+P[2]*V[1])/Sv2 + Q1<-(Q[1]*V[1]+Q[2]*V[2])/Sv2 + Q2<-(-Q[1]*V[2]+Q[2]*V[1])/Sv2 + m1 <- -Eps; M1 <- 1+Eps + m2 <- -Eps; M2 <- Eps + if(max(P1,Q1)<m1 || min(P1,Q1)>M1) + { + Out<-Inf + return(Out) + } + if(max(P2,Q2)<m2 || min(P2,Q2)>M2) + { + Out<-Inf + return(Out) + } + if(P2*Q2<0) + { + T<- P1-(Q1-P1)/(Q2-P2)*P2 + if(T>m1 && T<M1) + { + if(T > -Eps0 && T<1+Eps0) + { + Tmp1<-A+T*V + Tmp2<-min(max(T,0),1) + Out<-list(Tmp1,Tmp2,0) + } + else + { + Tmp1<-A+T*V + Tmp2<-min(max(T,0),1) + Out<-list(Tmp1,Tmp2,1) + } + return(Out) + } + if(P1<m1 || P1>M1 || P2<m2 || P2>M2) + { + if(Q1<m1 || Q1>M1 || Q2<m2 || Q2>M2) + { + Out<-Inf + return(Out) + } + T<-min(max(Q1,0),1) + Tmp=A+T*V + Out<-list(Tmp,T,1) + return(Out) + } + T<-min(max(P1,0),1) + Tmp<-A+T*V + Out<-list(Tmp,T,1) + return(Out) + } + if(P1> -Eps0 && P1<1+Eps0 && P2> -Eps0 && P2 < Eps0) + { + T<- P1 + Tmp<- A+T*V + Out<- list(Tmp, T, 0) + return(Out) + } + if(Q1> -Eps0 && Q1<1+Eps0 && Q2> -Eps0 && Q2<Eps0) + { + T<- Q1 + Tmp<-A+T*V + Out<- list(Tmp,T,0) + return(Out) + } + if(P1<m1 || P1>M1 || P2<m2 || P2>M2) + { + if(Q1<m1 || Q1>M1 || Q2<m2 || Q2>M2) + { + Out<-Inf + return(Out) + } + T<-min(max(Q1,0),1) + Tmp<-A+T*V + Out<-list(Tmp,T,1) + return(Out) + } + if(Q1<m1 || Q1>M1 || Q2<m2 || Q2>M2) + { + T<-min(max(P1,0),1) + Tmp<-A+T*V + Out<-list(Tmp,T,1) + return(Out) + } + if(abs(P2)<abs(Q2)) + { + T<-min(max(P1,0),1) + } + else + { + T<-min(max(Q1,0),1) + } + Tmp<A+T*V + Out<-list(Tmp,T,1) + return(Out) +} + +########################################## + +Kukeiwake<- function(PL) +{ + Eps<-10.0^(-6) + NW<- c(XMIN,YMAX); SW<-c(XMIN,YMIN) + SE<- c(XMAX,YMIN); NE<-c(XMAX,YMAX) + Tmp<-matrix(c(NW,SW,SE,NE,NW),nrow=2) + Sikaku<- t(Tmp) + Kt<- IntersectcrvsPp(PL,Sikaku) + if(length(Kt)!=2) + { + print("not two points") + return(c()) + } + Tmp<- Op(1,Kt) + Pt1<- Op(1,Tmp) + N1<- trunc(Op(2,Tmp)) + M1<- Op(3,Tmp) + Tmp<- Op(2,Kt) + Pt2<- Op(1,Tmp) + N2<- trunc(Op(2,Tmp)) + M2<- Op(3,Tmp) + T1<- Paramoncurve(Pt1,M1,Sikaku) #18.02.06 + T2<- Paramoncurve(Pt2,M2,Sikaku) + QL<c() + if(Norm(Pt1-Op(N1+1,PL))>Eps) + { + QL<-Pt1 + } + Tmp<-Appendrow(QL,PL[(N1+1):N2,]) + QL<- Tmp + if(Norm(Pt2-Op(N2,PL))>Eps) + { + Tmp<-Appendrow(QL,Pt2) + QL<- Tmp + } + HidariL<- QL + Ms<- M2+1; Me<- M1 + if(T1<T2+Eps) Me<- M1+4 + for (M in Looprange(Ms,Me)) + { + Tmp<- Op(Nrow(HidariL),HidariL) + P<-Op(((M-1) %% 4)+1,Sikaku) + if(Norm(Tmp-P)>Eps) + { + Tmp<-Append(HidariL,P) + HidariL<-Tmp + } + } + Tmp<- Op(Nrow(HidariL),HidariL) + if(Norm(Tmp-Pt1)>Eps) + { + Tmp<-Append(HidariL,Pt1) + HidariL<-Tmp + } + MigiL<- QL + Ms<- M2; Me<- M1+1 + if(T1>T2-Eps) Me<- Me-4 + for (Mm in Looprange(Me,Ms)) + { + M<- Me+Ms-Mm + Tmp<- Op(Nrow(MigiL),MigiL) + P<- Op(((M-1) %% 4)+1,Sikaku) + if(Norm(Tmp-P)>Eps) + { + Tmp<-Appendrow(MigiL,P) + MigiL<-Tmp + } + } + Tmp<- Op(Nrow(MigiL),MigiL) + if(Norm(Tmp-Pt1)>Eps) + { + Tmp<-Appendrow(MigiL,Pt1) + MigiL<-Tmp + } + Out<- list(HidariL,MigiL) + return(Out) +} + +################################### +# 17.09.24 Eps + +Kyoukai<- function(...) +{ + varargin<- list(...) + Nargs<- length(varargin) + Eps0<- 10^(-7) + DataL<-list() + for (I in 1:Nargs){ + Tmp<- varargin[[I]] + if(mode(Tmp)=="numeric"){ + DataL<- Mixjoin(DataL,list(list(Tmp))) + } + if(mode(Tmp)=="list"){ + if(mode(Tmp[[1]])!="list"){ + DataL<- Mixjoin(DataL, list(Tmp)) + } + else{ + DataL<-Mixjoin(DataL,Tmp) + } + } + } + Eps<- 10.0^(-4) #17.09.24 + PLall<- list() + Sflg<- 0 + N<- length(DataL) + for (I in Looprange(1,N)){ + Data<- Op(I, DataL) + Tmp<- Op(length(Data),Data) + if(mode(Tmp)=="numeric" && Nrow(Tmp)==1 && length(Tmp)>1){ + Rg<-Tmp ; Nd<-length(Data)-1 + } + else{ + if(mode(Tmp)=="character"){ + Rg<- Tmp ; Nd<-length(Data)-1 + } + else{ + Rg<- "c" ; Nd<-length(Data) + } + } + for (J in Looprange(1,Nd)){ + Tmp<- Op(J,Data) + if(mode(Tmp)=="character"){ + Rg<- Tmp + next + } + Points<- Tmp + P1<- Ptstart(Points) + P2<- Ptend(Points) + if(J==1){ + PL<- Points + Pfirst<- P1 + Plast<- P2 + if(Nd>=2){ + Tmp<- Op(2,Data) + P<- Ptstart(Tmp) + Q<- Ptend(Tmp) + if(Norm(P2-P)>Eps && Norm(P2-Q)>Eps){ + Tmp< Length(PL) + PL<-PL[Tmp:1,] + Pfirst<- Ptstart(PL) + Plast<- Ptend(PL) + } + } + } + else{ + if(Norm(P1-Plast)<Eps){ + Stp<-1; Ks<-2; Ke=Length(Points) + } + else{ + if(Norm(P2-Plast)<Eps) { + Stp<- -1; Ks<-Length(Points)-1; Ke=1 + } + else{ + Tmp<-Appendrow(PL,c(Inf,Inf)) + PL<- Appendrow(Tmp,Points) + Sflg<- 1 + Pfirst<- P1 + Plast<- P2 + Stp<- 1; Ks<- Length(Points)-1; Ke<- 1 + } + } + for (K in seq(Ks,Ke, by=Stp)){ + Tmp<- Appendrow(PL,Op(K,Points)) + PL<-Tmp + } + Plast<- Op(Ke,Points) + } + } + if(Norm(Pfirst-Plast)>Eps){ + Np<- Length(PL) + if(Rg=="c"){ + Tmp<- Appendrow(PL,Pfirst) + PL<- Tmp + } + else if(Rg=="s"){ + Tmp<- c(PL[1:Np,2],YMIN) + Y<- min(Tmp)-1 + P<- c(Plast[1],Y); Q<- c(Pfirst[1],Y) + Tmp<- Appendrow(PL,P) + Tmp=Appendrow(Tmp,Q) + PL=Appendrow(Tmp,Pfirst) + } + else if(Rg=="n"){ + Tmp<- c(PL[1:Np,2],YMAX) + Y<-max(Tmp)+1 + P<- c(Plast[1],Y); Q<- c(Pfirst[1],Y) + Tmp<- Appendrow(PL,P) + Tmp<- Appendrow(Tmp,Q) + PL<- Appendrow(Tmp,Pfirst) + } + else if(Rg=="w"){ + Tmp<- c(PL[1:Np,1],XMIN) + X<- min(Tmp)-1 + P<- c(X,Plast[2]); Q<- c(X,Pfirst[2]) + Tmp<- Appendrow(PL,P) + Tmp<- Appendrow(Tmp,Q) + PL<- Appendrow(Tmp,Pfirst) + } + else if(Rg=="e"){ + Tmp<- c(PL[1:Np,1],XMAX) + X<- max(Tmp)+1 + P<- c(X,Plast[2]); Q<- c(X,Pfirst[2]) + Tmp<- Appendrow(PL,P) + Tmp<- Appendrow(Tmp,Q) + PL<- Appendrow(Tmp,Pfirst) + } + else if(mode(Rg)=="numeric" && Nrow(Rg)==1 && length(Rg)>1){ + Tmp<- Kukeiwake(PL) + Tmp1<- Op(1,Tmp) + Tmp2<- Naigai(Rg,list(Tmp1)) + if(Tmp2==c(1)){ + PL<-Op(1,Tmp) + } + else{ + PL<- Op(2,Tmp) + } + } + } + Tmp<- Ptstart(PL) + for (J in Looprange(2,Length(PL))){ + P<- Op(J,PL) + Q<- Op(Length(Tmp),Tmp) + if(Norm(P-Q)>Eps){ + Tmp1<-Appendrow(Tmp,P) + Tmp<-Tmp1 + } + } + PL<-Tmp + PLall<-c(PLall,list(PL)) + } + if(length(PLall)==1 && Sflg==0){ + Tmp<- Op(1,PLall) +# Tmp<- Op(1,Tmp) + if(Norm(Ptstart(Tmp)-Ptend(Tmp))>Eps0){ + Tmp1<- Appendrow(Tmp,Ptstart(Tmp)) + PLall<- list(Tmp1) + } + } + return(PLall) +} + +###################################### + +Letter<-function(...) +{ ## Scaling is implemented + varargin<-list(...) + Nargs<-length(varargin) + Irng<-c(seq(from=1,to=Nargs,by=3)) + for (I in Irng) + { + Tmp<-varargin[[I]] + P<- Doscaling(Tmp) + X<-P[1] + Y<-P[2] + Houkou<-varargin[[I+1]] + Mojiretu<-varargin[[I+2]] + Hset<-Houkou + Vhoko<-"c" + if(length(grep("n",Hset))>0) + { + Vhoko<-"n"; Y<-Y+MEMORI + } + if(length(grep("s",Hset))>0) + { + Vhoko<-"s"; Y<-Y-MEMORI + } + Hhoko<-"c" + if(length(grep("e",Hset))>0) + { + Hhoko<-"e"; X<-X+MEMORI + } + if(length(grep("w",Hset))>0) + { + Hhoko<-"w"; X<-X-MEMORI + } + Hoko<-paste(Vhoko,Hhoko,sep="") + Suu<-"+-.0123456789" + SuuL<-Suu + J<-1; Dstr<-"" + while (J<=nchar(Houkou)) + { + Tmp<-substring(Houkou,J,J) + if(length(grep(Tmp,SuuL))>0) + { + if(Dstr=="") Hk<-substring(Houkou,J-1,J-1) + Dstr<-paste(Dstr,Tmp,sep="") + } + else + { + if(Dstr!="") + { + Nmbr<-as.numeric(Dstr) + D<-Nmbr*MEMORI + if(Hk=="n") Y<-Y+D + if(Hk=="s") Y<-Y-D + if(Hk=="e") X<-X+D + if(Hk=="w") X<-X-D + Dstr<-"" + } + } + J<-J+1 + } + if(Dstr!="") + { + Nmbr<-as.numeric(Dstr) + D<-Nmbr*MEMORI; + if(Hk=="n") Y<-Y+D + if(Hk=="s") Y<-Y-D + if(Hk=="e") X<-X+D + if(Hk=="w") X<-X-D + } + CalcWidth(Hoko,Mojiretu) + CalcHeight(Hoko,Mojiretu) + cat("\\put(",file=Wfile,append=TRUE) + Tmp1<- sprintf("%7.7f",X) # 11.07.19 + Tmp2<- sprintf("%7.7f",Y) # 11.07.19 + Str<-paste(Tmp1,",",Tmp2,sep="") + cat(Str,file=Wfile,append=TRUE) + Tmp<-"){\\hspace*{\\Width}" + Str<-paste(Tmp,"\\raisebox{\\Height}{",Mojiretu,"}}%\n",sep="") + cat(Str,file=Wfile,append=TRUE) + cat("%\n",file=Wfile,append=TRUE) + } +} + +###################################################### + +Letterrot<- function(...) +{ + varargin<- list(...) + P<- varargin[[1]] + V<- varargin[[2]]; N<- 3 + P<- Doscaling(P) + V<- Doscaling(V) + Tmov<- 0 + Tmp<- varargin[[N]] + if(mode(Tmp)=="numeric"){ + Tmov<- Tmp; N<- N+1 + } + Nmov<- 0 + Tmp<- varargin[[N]] + if(mode(Tmp)=="numeric"){ + Nmov<- Tmp; N<- N+1 + } + Mojiretu<- Assign(varargin[[N]]) #2017.11.26 + Tv<- 1/Norm(V)*V + Nv<- c(-Tv[2],Tv[1]) + P<- P+MEMORI*Tmov*Tv+MEMORI*Nmov*Nv + Tmp<- acos(V[1]/Norm(V)) + Theta<- round(Tmp*180/pi) + if(V[2]>=0){ + Units<- "" + } + else{ + Units<- "units=-360," + } + Tmp<- paste("\\rotatebox[",Units,"origin=c]{",as.character(Theta),sep="") + Tmp<- paste(Tmp,"}{",Mojiretu,"}",sep="") + Letter(P,"c",Tmp) +} + +################################### +# 10.12.04 + +Lineplot<-function(...) +{ + varargin <- list(...) + Nargs<-length(varargin) + A<-varargin[[1]] + if(is.numeric(A)) { + Tmp<-length(A) + if(Tmp>3) { + B <- A[(Tmp/2+1):Tmp] + A <- A[1:(Tmp/2)] + Is <- 2 + } + else { + B<-varargin[[2]] + Is <- 3 + } + } + else { + B<-A[[2]] + A<-A[[1]] + Is <- 2 + } + Mag <- 100 ; Semi <- "" ## 10.12.04 + for (I in Looprange(Is,Nargs)) { + Tmp <- varargin[[I]] + switch ( mode(Tmp), + "numeric"= Mag <- Tmp, + "character"= Semi <- Tmp + ) + } +V<- Mag/Norm(B-A)*(B-A) ## 10.12.04 from here + if(Semi=="") { + Out<- Listplot(c(A-V,A+V)) + } + else if(Semi=="+") { + Out<- Listplot(c(A,A+V)) + } + else { + Out<- Listplot(c(A-V,A)) + } ## 10.12.04 to here + return(Out) +} + +################################ + +Listplot<-function(...) +{ + varargin<-list(...); + Z<-c(); + for (I in 1:length(varargin)) + { + Data<-varargin[[I]]; + if(mode(Data)=="numeric") + { + if(class(Data)=="numeric") + { + Tmp<-matrix(Data,nrow=2); + Tmp<-t(Tmp); + Z<-Appendrow(Z,Tmp) + } + else + Z<-Appendrow(Z,Data) + } + else + { + for (J in 1:length(Data)) + { + Tmp<-Data[[J]]; + Z<-Appendrow(Z,Tmp) + } + } + } + return(Z) +} + +############################## + +MakeBowdata <- function(PA,PB,H) +{ + Eps <- 10^(-5) + BOWSTART <<- PA + BOWEND <<- PB + D <- 1/2*Norm(PB-PA) + R <- (H^2+D^2)/(2*H) + A1 <- PA[1]; A2<-PA[2] + B1 <- PB[1]; B2<-PB[2] + if(abs(A2-B2)>Eps){ +# x <- poly(0,"X") +# y <- -(A1-B1)*x/(A2-B2)+(1/2)*(A1^2+A2^2-B1^2-B2^2)/(A2-B2) +# Eq1 <- (A1-x)^2+(A2-y)^2-R^2 +# Tmp <- coeff(Eq1) +# C0 <- Tmp[1]; C1<-Tm[2]; C2<-Tmp[3] + C0<- A1^2+(A2-(1/2)*(A1^2+A2^2-B1^2-B2^2)/(A2-B2))^2-R^2 + C1<- -(A1+B1)*(A2^2+B2^2-2*A2*B2-2*A1*B1+A1^2+B1^2)/(A2-B2)^2 + C2<- 1+(A1-B1)^2/(A2-B2)^2 + Det <- sqrt(C1^2-4*C0*C2) + Ansx1 <- (-C1+Det)/(2*C2) + Ansx2 <- (-C1-Det)/(2*C2) + Tmp <- -(A1-B1)*Ansx1/(A2-B2)+(1/2)*(A1^2+A2^2-B1^2-B2^2)/(A2-B2) + PC <- c(Ansx1,Tmp) + Tmp <--(A1-B1)*Ansx2/(A2-B2)+(1/2)*(A1^2+A2^2-B1^2-B2^2)/(A2-B2) + PC2 <- c(Ansx2,Tmp) + } + else{ + Tmp <- 0.5*(PA+PB) + PC <- Tmp+c(0,R-H) # 11.06.02 + PC2 <- Tmp-c(0,R-H) + } + VA <- PA-PC + VB <- PB-PC + if(VA[1]*VB[2]-VA[2]*VB[1]<0) { + PC <- PC2 + } + AngA <- acos((PA[1]-PC[1])/R) + if(PA[2]-PC[2]<0){ + AngA <- -AngA + } + AngB <- acos((PB[1]-PC[1])/R) + if(PB[2]-PC[2]<0){ + AngB <- -AngB + } + if(AngA>AngB) { + AngB <- AngB+2*pi + } + Out <- list(PC,R,AngA,AngB) + return(Out) +} + +#################################################### + +MakeCurves<-function(...){ ## Scaling is implemented + varargin<-list(...) + Figdata<-varargin[[1]] + if(class(Figdata)=="numeric"){ + Figdata<-matrix(Figdata,nrow=1) + } + Ptout<-1 + if(length(varargin)>=2) Ptout<-varargin[[2]] + Eps<-10.0^(-6) + IndM<-Dataindex(Figdata) + Atos<-c() + for (Nd in 1:Nrow(IndM)){ + Tmp<-IndM[Nd,] + Motos<-Figdata[Tmp[1]:Tmp[2],] + All<-Nrow(Motos) + if(Nrow(Motos)==1){ + if(InWindow(Motos)=="o"){ + next + } + Tmp1<- as.numeric(Motos) + if(Ptout==1){ + Drwpt(Tmp1) + } + else{ + Tmp1<- Doscaling(Tmp1) + Atos<-Appendrow(Atos,c(Inf,Inf),Tmp1) + next + } + } + Crv<-c() + for (I in Looprange(2,All)){ + P<- Op(I-1,Motos) + Q<- Op(I,Motos) + Snbn<-MeetWindow(P,Q) + if(length(Snbn)==0){ + if(length(Crv)>0){ + Atos<-Appendrow(Atos,c(Inf,Inf),Doscaling(Crv)) + Crv<-c() + } + } + else{ + if(Norm(Snbn[1,]-Snbn[2,])<Eps){ next} # naosi 101202 + if(length(Crv)==0){ + Crv<-Snbn + } + else{ + Tmp<-Op(Nrow(Crv),Crv) + if(Norm(Tmp-Op(1,Snbn))<Eps){ + Crv<-Appendrow(Crv,Op(2,Snbn)) + } + else{ + Atos<-Appendrow(Atos,c(Inf,Inf),Doscaling(Crv)) + Crv<-Snbn + } + } + } + } + if(Nrow(Crv)>=2) + { + Atos<-Appendrow(Atos,c(Inf,Inf),Doscaling(Crv)) + } + } + Outdata<-Atos[2:Nrow(Atos),] + if(class(Outdata)=="numeric") + { + Outdata<-matrix(Outdata,nrow=1) + } + return(Outdata) +} + +###################################### + +Makehasen<- function(Figdata,Sen,Gap,Ptn) +{ + Eps<- 10.0^(-6) + Clist<- MakeCurves(Figdata) + DinM<- Dataindex(Clist) + for (N in Looprange(1,Nrow(DinM))){ + Tmp<- DinM[N,] + Data<- Clist[Tmp[1]:Tmp[2],] + Dtall<- Nrow(Data) + Len<- 0 + Lenlist<- c(0) + for (I in Looprange(2,Dtall)){ + Len<- Len+Norm(Data[I,]-Data[I-1,]) + Lenlist<- c(Lenlist,Len) + } + Lenall<- Lenlist[Dtall] + if(Lenall==0){ + next + } + Kari<- (Sen+Gap)*0.1 + Naga<- Sen*0.1 + Tobi<- Gap*0.1 + if(Norm(Data[1,]-Data[Dtall,])<Eps){ + Nsen<- max(ceiling(Lenall/Kari),3) + SegUnit<- Lenall/Nsen + Naga<- SegUnit*Sen/(Sen+Gap) + Tobi<- SegUnit*Gap/(Sen+Gap) + SegList<- c(seq(0,(Nsen-1)*SegUnit,by=SegUnit)) + } + else{ + if(Ptn==0){ + Nsen<- max(ceiling((Lenall+Tobi)/Kari),3) + SegUnit<- Lenall*(Sen+Gap)/(Nsen*Sen+(Nsen-1)*Gap) + Naga<- SegUnit*Sen/(Sen+Gap) + Tobi<- SegUnit*Gap/(Sen+Gap) + SegList<- c(seq(0,(Nsen-1)*SegUnit,by=SegUnit)) + } + else{ + Nsen<- max(ceiling((Lenall+Naga)/Kari),3) + SegUnit<- Lenall*(Sen+Gap)/((Nsen-1)*Sen+Nsen*Gap) + Naga<- SegUnit*Sen/(Sen+Gap) + Tobi<- SegUnit*Gap/(Sen+Gap) + SegList<- c(seq(Tobi,Tobi+(Nsen-2)*SegUnit,by=SegUnit)) + } + } + Hajime<- 1; Owari<- 1 + Mojisu<- 0 + for (I in Looprange(1,length(SegList))){ + Len<- SegList[I] + J<- Owari + while (Len>=Lenlist[J]-Eps){ + if(J==Dtall){ + break + } + J<- J+1 + } + Hajime<- J-1 + J<- Hajime + while (Len+Naga>Lenlist[J]-Eps){ + if(J==Dtall){ + break + } + J<- J+1 + } + Owari<- J-1 + T<- (Len-Lenlist[Hajime]) + T<- T/(Lenlist[Hajime+1]-Lenlist[Hajime]) + P<- Data[Hajime,]+T*(Data[Hajime+1,]-Data[Hajime,]) + X<- as.character(round(MilliIn*P[1])) + Y<- as.character(-round(MilliIn*P[2])) + Str<- paste("\\special{pa ",X," ",Y,"}",sep="") + cat(Str,file=Wfile,append=TRUE) + Mojisu<- Mojisu+nchar(Str) + for (J in Looprange(Hajime+1,Owari)){ + P<- Data[J,] + X<- as.character(round(MilliIn*P[1])) + Y<- as.character(-round(MilliIn*P[2])) + Str<- paste("\\special{pa ",X," ",Y,"}",sep="") + cat(Str,file=Wfile,append=TRUE) + Mojisu<- Mojisu+nchar(Str) + } + T<- (Len+Naga-Lenlist[Owari]) + T<- T/(Lenlist[Owari+1]-Lenlist[Owari]) + P<- Data[Owari,]+T*(Data[Owari+1,]-Data[Owari,]) + X<- as.character(round(MilliIn*P[1])) + Y<- as.character(-round(MilliIn*P[2])) + Str1<- paste("\\special{pa ",X," ",Y,"}",sep="") + Str2<- "\\special{fp}" + cat(Str1,file=Wfile,append=TRUE) + cat(Str2,file=Wfile,append=TRUE) + Mojisu<- Mojisu+nchar(Str1)+nchar(Str2) + if(Mojisu>80){ + cat("%\n",file=Wfile,append=TRUE) + Mojisu<- 0 + } + } + } + cat("%\n%\n",file=Wfile,append=TRUE); +} + +###################################### + +Makeliststr<- function(L) +{ + Out="list(" + for (I in 1:length(L)){ + Dt<- L[[I]] + if(mode(Dt)=="numeric"){ + if(length(Dt)==1){ + Dts<- as.character(Dt) + } + else{ + Dts<- "c(" + for (J in Looprange(1,Nrow(Dt))){ + for (K in 1:ncol(Dt)){ + Dts<- paste(Dts,as.character(Dt[J,K]),sep="") + if(K< ncol(Dt)){ + Dts<- paste(Dts,",",sep="") + } + } + if(J<Nrow(Dt)){ + Dts<- paste(Dts,";",sep="") + } + else{ + Dts<- paste(Dts,")",sep="") + } + } + } + } + if(mode(Dt)=="character"){ + Dts<- paste(Prime(),Dt,Prime(),sep="") + } + if(mode(Dt)=="list"){ + Dts<- Makeliststr(Dt) + } + Out<- paste(Out,Dts,sep="") + if(I<length(L)){ + Out<- paste(Out,",") + } + else{ + Out<- paste(Out,")",sep="") + } + } + return(Out) +} + +############################################ + +Makeshasen<- function(PtnL,PA,V,Bdy) +{ + Eps<- 10^(-6) + TenL<- KoutenList(PA,V,Bdy) + Nten<- length(TenL) + Call<- length(Bdy) + Ptn<- c(seq(0, 0, length=Call)) + Out<- list() + GL<- c() + Te<- -10^6 + for (I in Looprange(1,Nten-1)){ + TenP<- Op(I,TenL); TenQ<- Op(I+1,TenL) + Ts<- Op(1,TenP) + P<- Op(2,TenP); Q<- Op(2,TenQ) + NC<- Op(4,TenP) + Tmp<- (Op(NC,Ptn)+1) %% 2 + Ptn[NC]<- Tmp + if(Op(1,TenQ)-Ts>Eps){ + if(Member(Ptn,PtnL)){ + if(abs(Te-Ts)>Eps){ + if(Nrow(GL)>0){ + Tmp<- Mixjoin(Out, list(GL)) + Out<- Tmp + } + GL<- Listplot(P,Q) + } + else{ + Tmp <- Appendrow(GL, Q) + GL<- Tmp + } + Te<- Op(1,TenQ) + } + } + } + if(Nrow(GL)>0){ + Tmp<- Mixjoin(Out, list(GL)) + Out<- Tmp + } + return(Out) +} + +############################################# + +Mawarikomi<- function(...) +{ + varargin<- list(...) + haba<- "10cm" + Nargs<- length(varargin) + if(Nargs>0){ + haba<- varargin[[1]] + } + cat("\\begin{mawarikomi}%\n",file="",append=TRUE) + cat("%<1>[5](0,0)%\n",file="",append=TRUE) + Str<- paste("{",haba,"}{%\n",sep="") + cat(Str,file="",append=TRUE) + cat("}%\n",file="",append=TRUE) + cat("\\end{mawarikomi}",file="",append=TRUE) +} + +############################################## + +MeetWindow<-function(PA,PB) +{ + if(InWindow(PA)=="i" && InWindow(PB)=="i") + { + R<-Appendrow(PA,PB) + return(R) + }; + Horner<-function(n,t) + { + PT<-(1-t)*PA+t*PB; + return(PT[n]) + } + Eps<-10.0^(-6); + Txm<-(-1); TxM<-(-1); Tym<-(-1); TyM<-(-1); + if(PA[1]!=PB[1]) + { + Txm<-(XMIN-PA[1])/(PB[1]-PA[1]); + TxM<-(XMAX-PA[1])/(PB[1]-PA[1]); + } + if(PA[2]!=PB[2]) + { + Tym<-(YMIN-PA[2])/(PB[2]-PA[2]); + TyM<-(YMAX-PA[2])/(PB[2]-PA[2]); + } + Tmp<-Horner(2,Txm); + if(Tmp<YMIN-Eps || Tmp>YMAX+Eps) + { + Txm<-(-1); + } + Tmp<-Horner(2,TxM); + if(Tmp<YMIN-Eps || Tmp>YMAX+Eps) + { + TxM<-(-1) + } + Tmp<-Horner(1,Tym); + if(Tmp<XMIN-Eps || Tmp>XMAX+Eps) + { + Tym<--1 + } + Tmp<-Horner(1,TyM); + if(Tmp<XMIN-Eps || Tmp>XMAX+Eps) + { + TyM<--1 + } + Tans<-sort(c(Txm,TxM,Tym,TyM)); + Tmp<-c(); + for (I in 1:length(Tans)) + { + Tmp1<-Tans[I]; + if(Tmp1>-Eps && Tmp1<1+Eps) + { + if(length(Tmp)==0) + { + Tmp<-c(Tmp1); + } + else + { + if(abs(Tmp[length(Tmp)]-Tmp1)>Eps) + { + Tmp<-c(Tmp,Tmp1) + } + } + } + } + Tans<-Tmp; + if(length(Tans)==0) + { + R<-c(); + return(R); + } + if(length(Tans)==1) + { + Ten1<-Horner(1:2,Tans[1]); + if(InWindow(PA)=="i") + { + R<-Appendrow(PA,Ten1) + return(R) + } + else + { + R<-Appendrow(Ten1,PB) + return(R) + } + } + Ten1<-Horner(1:2,Tans[1]) + Ten2<-Horner(1:2,Tans[2]) + R<-Appendrow(Ten1,Ten2) + return(R) +} + +######################################### + +# New 10.03.21 + +Mixjoin<-function(...) +{ + varargin<-list(...) + Nargs<- length(varargin) + M<- list() + for (I in 1:Nargs) + { + Tmp<-varargin[[I]] + if(length(Tmp)==0) next + if(Mixtype(Tmp)==1) + { + Tmp<-list(Tmp) + } + if(length(M)==0){ + M <- Tmp + } + else{ + M<- c(M,Tmp) + } + } + return(M) +} + +################################# + +Mixlength<- function(PL){ + if(length(PL)==0){ + return(0) + } + if(Mixtype(PL)==1){ + Out<- Nrow(PL) + } + else{ + Out<- length(PL) + } + return(Out) +} + +########################################### + +Mixtype<- function(D) +{ + if(mode(D)!="list") return(1) + for (I in 1:length(D)) + { + Tmp<- D[[I]] + if(mode(Tmp)=="list") return(3) + } + return(2) +} + +########################################### + +Naigai<- function(A,Bdy) +{ + V<- c(1,1) + Call<-length(Bdy) + KL<- KoutenList(A,V,Bdy) + Ptn<- seq(1,1,length=Call) + for (K in Looprange(1,length(KL))) + { + Ten<- Op(K,KL) + T<- Op(1,Ten); NC<- Op(4,Ten) + if(T<0) + { + Tmp<- (Ptn[NC]+1) %% 2 + Ptn[NC]<- Tmp + } + } + return(Ptn) +} + +######################################## + +Nearestpt<- function(...){ + varargin<- list(...) + Nargs<- length(varargin) + PL1<- varargin[[1]] + if(!is.matrix(PL1)){ + Tmp<- matrix(PL1); + PL1<- t(Tmp) + } + if(Nrow(PL1)==1) Flg=0 + else Flg=1 + Eps<- 10.0^(-6) + PL<- varargin[[2]] + Ans<- list(PL1[1,],1,PL[1,],1,Norm(PL1[1,]-PL[1,])) + for(N in Looprange(1,Nrow(PL1))){ + PA<- PL1[N,] + Pm<- PL[1,] + Im<- 1 + Sm<- Norm(Pm-PA) + for(I in Looprange(1,Nrow(PL)-1)){ + A1<- PL[I,1]; A2<-PL[I,2] + B1<- PL[I+1,1]; B2<-PL[I+1,2] + V1<- B1-A1; V2<-B2-A2 + X1<- PA[1]; X2<-PA[2] + Tmp<-V2^2+V1^2 + if(abs(Tmp)<Eps) next + T<- (-A2*V2-V1*A1+V1*X1+X2*V2)/Tmp + if(T< -Eps){ + P<- c(A1,A2) + }else{ + if(T>1+Eps){ + P<- c(B1,B2) + }else{ + P<- c(A1+T*V1,A2+T*V2) + } + } + S<- Norm(P-PA) + if(S<Sm-Eps){ + Tmp<- Paramoncurve(P,I,PL) + Pm<- P; Im<- Tmp; Sm<- S + } + } + if(Sm<Op(5,Ans)) Ans<- list(PA,N,Pm,Im,Sm) + if(Flg==0){ + Ans<- Ans[3:5] + } + } + return(Ans) +} + +######################################### + +Newlength<- function() +{ + Tmp1<- "\\newlength{\\Width}%\n" + Tmp2<- "\\newlength{\\Height}%\n" + Tmp3<- "\\newlength{\\Depth}%\n" + cat(Tmp1,file="",append=TRUE); + cat(Tmp2,file="",append=TRUE); + cat(Tmp3,file="",append=TRUE); +} + +######################################### + +Numptcrv<-function(Fig) +{ + return(Nrow(Fig)) +} + +# 2018.01.29 +Length<- function(Data){ + if(is.matrix(Data)){return(nrow(Data))} + if(is.character(Data)){return(nchar(Data))} + return(length(Data)) +} + +######################################### + +Op<-function(N,Data) +{ + C <- c() + if(length(Data)==0) return(C) + if(mode(Data)=="list"){ + if(class(Data)=="data.frame"){ # 10.02.23 + C<- Data[N,] + } + else{ + C<- Data[[N]] + } + return(C) + } + if(mode(Data)=="character"){ + if(length(Data)==1){ + C<- substring(Data,N,N) + } + else{ + C<- Data[N] + } + return(C) + } + if(mode(Data)=="numeric"){ + if(class(Data)=="matrix"){ + Din<- Dataindex(Data) + if(nrow(Din)==1){ + C<- Data[N,] + } + else{ + Tmp1<- Din[N,1] + Tmp2<- Din[N,2] + C<- Data[Tmp1:Tmp2,] + } + } + else{ + C=Data[N] + } + } + return(C) +} + +######################################### +# 2013.05.20 Changed ( Creator recorded) +# 2013.12.18 Beginpicture inclued + +Openfile<-function(...) +{ + varargin<- list(...) + File<- varargin[[1]] + Bflg<- 0 + Wfile<<- File + Creator<- "" + Cflg<- 0 + Nargs<- length(varargin) + for(N in Looprange(2,Nargs)){ + Tmp<- varargin[[N]] + Tmp1<- strsplit(Tmp,"=",fixed=TRUE) + Tmp1<- Tmp1[[1]] + if(length(Tmp1)>1){ + Creator<- Tmp1[2] + Cflg<- 1 + } + else{ + Unitstr<- Tmp + Bflg<- 1 + } + } + Recentf<- "" + Fv<- list.files() + Nv<- grep("\\.r$", Fv) + Rfiles<- Fv[Nv] + StrW<- paste("%%% ",File,sep="") #17.10.28 + StrC<- paste("%%% Generator=",Creator,sep="") + if(Cflg==0){ + } + cat(StrW,"\n",file=Wfile) + cat(StrC,"\n",file=Wfile,append=TRUE) + if(Bflg==1){ + Beginpicture(Unitstr) + } +} + +######################################### + +Openpar<- function(...) +{ + varargin<- list(...) + Nargs<- length(varargin) + Tmp<- varargin[[1]] + Tmp1<- substr(Tmp,1,1) + if(Tmp1=="\\"){ + Namestr<- Tmp + N<- 2 + } + else{ + Namestr<- "\\tmp" + N<- 1 + } + Habastr<- varargin[[N]] + if(Nargs>N){ + Posstr<- paste("[",varargin[[N+1]],"]",sep="") + } + else{ + Posstr<- "[c]" + } + Openphr(Namestr) + S<- paste("\\begin{minipage}",Posstr,"{",Habastr,"}%\n",sep="") + cat(S,file=Wfile,append=TRUE) +} + +################################### + +Openphr<- function(Str) +{ + S<- paste("\\def",Str,"{%\n",sep="") + cat(S,file=Wfile,append=TRUE) +} + +##################################### + +Ovalbox<- function(...) +{ + varargin<- list(...) + Nargs<- length(varargin) + Pos<- varargin[[1]] + Dr<- varargin[[2]] + StrV<- varargin[[3]] + R<- 0.2 + NDflg<- 0 + for (I in Looprange(4,Nargs)){ + Tmp<- varargin[[I]] + if(mode(Tmp)=="numeric"){ + R<- Tmp + } + else{ + if(substr(Tmp,1,1)=="-"){ + NDflg<- 1 + Tmp1<- substr(Tmp,2,nchar(Tmp)) + Cmdstr<- chartr("*","G",Tmp1) + } + } + } + Xr<- c(XMIN,XMAX) + Yr<- c(YMIN,YMAX) + Uv<- 0.6; Uh<- 0.8 + N<- nchar(StrV) + W<- Uh;H<- Uv*N + Setwindow(c(-W/2,W/2),c(-H,0)) + G<- Ovaldata(c(0,-H/2),W/2,H/2,R) + Openphr("\\ketpictmp") + Beginpicture("1cm") + if(NDflg==0){ + Drwline(G) + } + else{ + eval(parse(text=Cmdstr)) + } + for (I in Looprange(1,N)){ + Letter(c(0,Uv/2-Uv*I),"c",Op(I,StrV)) + } + Endpicture(0) + Closephr() + Setwindow(Xr,Yr) + Letter(Pos,Dr,"\\ketpictmp") +} + +########################################## + +Ovaldata<- function(...) #17.09.11 +{ + varargin<- list(...) + Nargs<- length(varargin) + if(Nargs==1){ + Eps<- 1.0*10^(-4) + C<- c((XMIN+XMAX)/2,(YMIN+YMAX)/2) + Dx<- XMAX-C(1)-Eps + Dy<- YMAX-C(2)-Eps + N<- 1 + } + else{ + C<- varargin[[1]] + Dx<- varargin[[2]] + Dy<- varargin[[3]] + N<- 4 + } + Rc<- 0.2 + if(N<=Nargs){ #15.11.15 + Rc<- varargin[[N]]*Rc #15.11.15 + } + Out<- c() + P<- C+c(Dx-Rc,Dy-Rc) + Tmp1<- Circledata(c(P,Rc),"R=c(0,pi/2)","N=10") #17.11.29 + Tmp2<- Listplot(C+c(Dx-Rc,Dy),C+c(0,Dy)) + Tmp3<- Listplot(C+c(Dx,0),C+c(Dx,Dy-Rc)) + G<- Joincrvs(Tmp3,Tmp1,Tmp2) + Tmp<- Reflectdata(G,c(C,C+c(0,1))) + G<- Joincrvs(G,Tmp) + Tmp<- Reflectdata(G,c(C,C+c(1,0))) + Out<- Joincrvs(G,Tmp) +} + +######################################### + +Paramark<- function(...) +{ + varargin<- list(...) + Nargs<- length(varargin) + PA<- varargin[[1]] + PB<- varargin[[2]] + PC<- varargin[[3]] + R<- 0.5 + if(Nargs>=4){ + R<- varargin[[4]]*R + } + U<- R*(PA-PB)/Norm(PA-PB) + V<- R*(PC-PB)/Norm(PC-PB) + if(Crossprod(PA-PB,PC-PB)!=0){ + P<- Listplot(c(PB+U,PB+U+V,PB+V)) + } + else{ + P<- c() + } +} + +########################################### + +Paramoncurve<-function(...){ + varargin<-list(...) + Nargs<-length(varargin) + Eps<-10^(-8) + P<-varargin[[1]] + Gdata<-varargin[[Nargs]] + if(Nrow(P)>1){ + Tmp<-P; P<-Gdata; Gdata<-Tmp + } + if(Nargs==2){ + Tmp<-Nearestpt(P,Gdata) + Out<-Tmp[[2]] + return(Out) + } + N<-varargin[[2]] + PtL<-Gdata + N=min(N,Length(PtL)-1) #18.02.11from + Pa<-Ptcrv(N,PtL) + Pb<-Ptcrv(N+1,PtL) + V<-Pb-Pa + W<-P-Pa + D2<-Norm(V)^2 + if(D2<Eps) return(0) + S<-Dotprod(V,W)/D2 + S<-min(max(S,0),1) + Out=N+S #18.02.11until + return(Out) +} + +############################################## + +Paramplot<- function(...) +{ + varargin<- list(...) + Eps<- 10^(-5) + Nargs<- length(varargin) + Fnflg<- 0 + Fnstr<- varargin[[1]]; Is=2 + Rgstr<- varargin[[Is]]; Is<- Is+1 + Range<- c(0,2*pi) + N<- 50 # Numpoints + E<-c() # Exclusions + D<- Inf # Discont + for (I in Looprange(Is,Nargs)) + { + Tmp<- varargin[[I]] + Tmp<- strsplit(Tmp,"=") + K<- Tmp[[1]] + Tmp<- K[1] + Lhs<- substring(Tmp,1,1) + Tmp1<- K[2] + Str<-paste(Lhs,"=",Tmp1,sep="") + eval(parse(text=Str)) + } + Tmp<- strsplit(Rgstr,"=") + K<-Tmp[[1]] + if(length(K)>1) + { + Vname<- K[1] + Tmp1<- K[2] + Rng<- eval(parse(text=Tmp1)) + } + else + { + Vname<- Rgstr + Rng<- c(0,2*pi) + } + T1<- Rng[1]; T2<- Rng[2] + Dt<- (T2-T1)/N #17.09.22 + if(Fnflg==0) + { + Str<- gsub(Vname,"t",Fnstr) + } + if(abs(Dt)<Eps){ # 16.12.13 + t=T1 + P=eval(parse(text=Str)) + return(P) + } + P<-c() + if(length(E)>0) + { + E<-sort(E) + E<E[length(E):1] + } + E<- c(E, Inf) + Tmp<- sort(E) + E<- E[length(Tmp):1] + Ke<- 1 +# for (t in seq(T1, T2+Eps, by=Dt)){#18.02.05 + for(jj in 1:(N+1)){ + t=T1+(jj-1)*Dt + Pa<- c() + if(t-E[Ke]< Eps) + { + if(Fnflg==0) + { + Tmp<-eval(parse(text=Str)) + Pa<- Tmp + } + else + { + } + } + if(abs(t-E[Ke])<=Eps) + { + if(Nrow(P)>0 && Op(Nrow(P),P)!=c(Inf,Inf)) + { + Pa<- c(Inf,Inf) + } + } + if(t-E[Ke]>Eps) + { + if(Fnflg==0) + { + Tmp<- eval(parse(text=Str)) + Pa<- Tmp + } + else + { + } + Ke<-Ke+1 + } + if(length(Pa)>0) + { + if(Pa[1]==Inf) + { + Tmp<-Appendrow(P,Pa) + P<-Tmp + } + else + { + if(Nrow(P)==0) + { + Tmp<- Appendrow(P,Pa) + P<-Tmp + } + else + { + Tmp<- Op(Nrow(P),P) + if(Tmp[1]==Inf) + { + Tmp<- Appendrow(P,Pa) + P<- Tmp + } + else + { + if(Norm(Tmp-Pa)<D) + { + Tmp<-Appendrow(P,Pa) + P<-Tmp + } + else + { + Tmp<- Appendrow(P,c(Inf,Inf),Pa) + P<- Tmp + } + } + } + } + } + } + Tmp<- Nrow(P) + Tmp1<- Op(Tmp,P) + if(Tmp1[1]==Inf) + { + P<- P[1:(Tmp-1),] + } + return(P) +} + +##################################### + +Partcrv<- function(A,B,PkL) +{ + Eps<- 10.0^(-3) + if(mode(A)=="numeric" && length(A)==1){ + if(A>B+Eps){ + Npt<- Numptcrv(PkL) + Out1<- Partcrv(A,Npt,PkL) + Out2<- Partcrv(1,B,PkL) + Tmp<- Ptstart(PkL)-Ptend(PkL) + if(Norm(Tmp)<Eps){ + Ans<- Joincrvs(Out1,Out2) + } + else{ + Ans<- list(Out1,Out2) + } + return(Ans) + } + Is<- ceiling(A) + Ie<- floor(B) + PL<- c() + if(A<Is-Eps){ + P<- (Is-A)*PkL[Is-1,]+(1-Is+A)*PkL[Is,] + PL<- c(P) + } + PL<- Appendrow(PL, PkL[Looprange(Is,Ie),]) + if(B>Ie+Eps){ + P<- (1-B+Ie)*PkL[Ie,]+(B-Ie)*PkL[Ie+1,] + PL<- Appendrow(PL,P) + } + Ans<- PL + return(Ans) + } + Tmp<- Nearestpt(A,PkL) + Ta<- Op(2,Tmp) + Tmp<- Nearestpt(B,PkL) + Tb<- Op(2,Tmp) + Ans<- Partcrv(Ta,Tb,PkL) +} + +########################################## +# 13.05.03 + +Partframe<- function(Tb,St,Ed) +{ + G<- Dividetable(Tb) + Gw<- G[[1]] + Gt<- G[[2]] + Gy<- G[[3]] + Gwt<- Tb[[4]] + Gwy<- Tb[[5]] + Gat<- c(list(Gwt[[1]]),Gt,list(Gwt[[2]])) + Gay<- c(list(Gwy[[1]]),Gy,list(Gwy[[2]])) + Tmp1<- Ptstart(Gat[[St[1]]]) + Tmp2<- Ptstart(Gay[[St[2]]]) + Ps<- c(Tmp1[1],Tmp2[2]) + Tmp1<- Ptstart(Gat[[Ed[1]]]) + Tmp2<- Ptstart(Gay[[Ed[2]]]) + Pe<- c(Tmp1[1],Tmp2[2]) + Pars<- Paramoncurve(Ps,Gw) + Pare<- Paramoncurve(Pe,Gw) + if(Pars<Pare){ + Out<- Partcrv(Pars,Pare,Gw) + } + else{ + Tmp1<- Partcrv(Pars,Numptcrv(Gw),Gw) + Tmp2<- Partcrv(1,Pare,Gw) + Out<- Joincrvs(Tmp1,Tmp2) + } +return(Out) +} + + +########################################## +# 10.12.04 + +Plotdata<- function(...) +{ + varargin<- list(...) + Eps<- 10^(-5) + Fnstr<- varargin[[1]]; Is<- 2 + Fnflg<- 0 + Rgstr<- varargin[[Is]]; Is<- Is+1 + Tmp<- strsplit(Rgstr,"=") + K<-Tmp[[1]] + if(length(K)>1){ + Vname<- K[1] + Tmp1<- K[2] + Rng<- eval(parse(text=Tmp1)) + } + else{ + Vname<- Rgstr + Rng<- c(XMIN,XMAX) + } + N<- 50 # Numpoints + E<-c() # Exclusions + Exfun<- "" # Exclusion function + D<- Inf # Discont + for (I in Looprange(Is,length(varargin))){ + Tmp<- varargin[[I]] + Lhs<- substring(Tmp,1,1) + Tmp<- strsplit(Tmp,"=") + K<- Tmp[[1]] + Tmp1<- K[2] + Tmp2<- grep(Vname,Tmp1,fixed=TRUE) ## 10.12.04 + if(length(Tmp2)==0){ + Str<-paste(Lhs,"=",Tmp1,sep="") + eval(parse(text=Str)) + } + else{ + Exfun<-Tmp1 + } + } + X1<- Rng[1]; X2<- Rng[2] + dx<- (X2-X1)/N # 17.09.22 + if(Fnflg==0){ + Str<- gsub(Vname,"x",Fnstr,fixed=TRUE) + } + if(abs(dx)<Eps){ # Scilab 16.12.13 + x=X1 + P=c(X1,eval(parse(text=Str))) + return(P) + } + Exfun<- gsub(Vname,"x",Exfun,fixed=TRUE) + P<-c() + if(length(E)>0){ + E<-sort(E) + E<E[length(E):1] + } + E<- c(E, Inf) + Tmp<- sort(E) + E<- E[length(Tmp):1] + Ke<- 1 + for (x in seq(X1,X2,by=dx)){ + if(nchar(Exfun)>0){ + Tmp<-eval(parse(text=Exfun)) + if(abs(Tmp)<Eps){ + P<- Appendrow(P,c(Inf,inf)) + next + } + } + Pa<- c() + if(x-E[Ke]< -Eps){ ## 10.12.04 + Tmp<-eval(parse(text=Str)) + Pa<- c(x,Tmp) + } + if(abs(x-E[Ke])<=Eps){ + if(Nrow(P)>0 && P[Nrow(P),]!=c(Inf,Inf)){ + Pa<- c(Inf,Inf) + } + } + if(x-E[Ke]>Eps){ + Tmp<- eval(parse(text=Str)) + Pa<- c(x,Tmp) + Ke<-Ke+1 + } + if(length(Pa)>0){ + if(Pa[1]==Inf){ + Tmp<-Appendrow(P,Pa) + P<-Tmp + } + else{ + if(Nrow(P)==0){ + Tmp<- Appendrow(P,Pa) + P<-Tmp + } + else{ + Tmp<- P[Nrow(P),] + if(Tmp[1]==Inf){ + Tmp<- Appendrow(P,Pa) + P<- Tmp + } + else{ + if(Norm(Tmp-Pa)<D){ + Tmp<-Appendrow(P,Pa) + P<-Tmp + } + else{ + Tmp<- Appendrow(P,c(Inf,Inf),Pa) + P<- Tmp + } + } + } + } + } + } + Tmp<- Nrow(P) + Tmp1<-P[Tmp,] + if(Tmp1[1]==Inf) + { + P<- P[1:(Tmp-1),] + } + return(P) +} + +###################################### + +Pointoncurve<-function(...) +{ + varargin<-list(...) + Eps<-10^(-4) + T<-varargin[[1]] + Gdata<-varargin[[2]] + if(Nrow(T)>1) + { + Tmp<-T; T<-Gdata; Gdata<-Tmp + } + PtL<-Gdata + N<-trunc(T+Eps); + S<-max(T-N,0); + if(N==Nrow(PtL)) + { + Out<-PtL[N,] + } + else + { + Pa<-PtL[N,] + Pb<-PtL[N+1,] + Out<-(1-S)*Pa+S*Pb + } + return(Out) +} + +############################################## +# 10.11.20 +# 13.05.03 Inf + +Pointdata<-function(...) +{ + varargin<-list(...) + Nargs<-length(varargin) + PL<- list() + for (I in Looprange(1,Nargs)){ # 10.11.20 + DL<-varargin[[I]] + DL<- Flattenlist(DL) # 10.11.20 from here + for (J in Looprange(1,length(DL))){ + Dt<- DL[[J]] + if(is.matrix(Dt)|| is.data.frame(Dt)){ + for (K in 1:nrow(Dt)){ + Tmp<- as.numeric(Dt[K,]) + if(Tmp[1]<Inf){ + PL<- c(PL,list(Tmp)) + } + } + } + else{ + PL<- c(PL,list(Dt)) + } + } + } # to here + if(length(PL)==1) + { + PL<-PL[[1]] + } + return(PL) +} + +############################################## + +Prime<- function(...) +{ + varargin<- list(...) + if(length(varargin)==0){ + Out="'" + } + else{ + Out<- paste(varargin[[1]],"'",sep="") + } + return(Out) +} + +############################################ +# 17.09.29 + +Ptcrv<-function(N,Fig) +{ + if(is.matrix(Fig)){ + return(Fig[N,]) + } + else{ + return(Fig) + } +} + +######################################### + +Ptend<-function(Fig) +{ + if(Length(Fig)>0){ #18.02.09 + return(Op(Length(Fig),Fig)) + }else{ + return(c()) + } +} + +######################################### + +Ptne<-function(...) +{ + varargin<- list(...) + if(length(varargin)==0){ + Out<- c(XMAX,YMAX) + } + else{ + G<- varargin[[1]] + XM<- max(G[,1]) + YM<- max(G[,2]) + Out<- c(XM,YM) + } + return(Out) +} + +######################################### + +Ptnw<-function(...) +{ + varargin<- list(...) + if(length(varargin)==0){ + Out<- c(XMIN,YMAX) + } + else{ + G<- varargin[[1]] + Xm<- min(G[,1]) + YM<- max(G[,2]) + Out<- c(Xm,YM) + } + return(Out) +} + +######################################### + +Ptse<-function(...) +{ + varargin<- list(...) + if(length(varargin)==0){ + Out<- c(XMAX,YMIN) + } + else{ + G<- varargin[[1]] + XM<- max(G[,1]) + Ym<- min(G[,2]) + Out<- c(XM,Ym) + } + return(Out) +} + +############################################# + +Ptstart<-function(Fig) +{ + if(Length(Fig)>0){ #18.02.09 + return(Op(1,Fig)) + }else{ + return(c()) + } +} + +######################################### + +Ptsw<-function(...) +{ + varargin<- list(...) + if(length(varargin)==0){ + Out<- c(XMIN,YMAX) + } + else{ + G<- varargin[[1]] + Xm<- min(G[,1]) + Ym<- min(G[,2]) + Out<- c(Xm,Ym) + } + return(Out) +} + +############################################## + +Putcell<- function(...) +{ + varargin<- list(...) + Nargs<- length(varargin) + TbL<- varargin[[1]] + Str<- varargin[[Nargs]] + if(mode(Str)=="numeric"){ + Str<- as.character(Str) + } + Pos<- varargin[[Nargs-1]] + Nrg<- varargin[[2]] + if(mode(Nrg)=="character"){ + if(Nargs==4){ + Cell<- Findcell(TbL,Nrg) + } + else{ + Mrg<- varargin[[3]] + Cell<- Findcell(TbL,Nrg,Mrg) + } + } + else{ + Mrg<- varargin[[3]] + Cell<- Findcell(TbL,Nrg,Mrg) + } + Pt<- Cell[[1]]; Dr<- "c" + Posh<- substr(Pos,1,1) + Post<- substr(Pos,2,nchar(Pos)) + if(toupper(Posh)=="R"){ + Pt<- Pt+c(Cell[[2]],0) + if(nchar(Post)==0){ + Dr<- "w1" + } + else{ + Dr<- paste("w",Post,sep="") + } + } + if(toupper(Posh)=="L"){ + Pt=Pt-c(Cell[[2]],0) + if(nchar(Post)==0){ + Dr<- "e1" + } + else{ + Dr<- paste("e",Post,sep="") + } + } + if(toupper(Posh)=="U"){ + Pt<- Pt+c(0,Cell[[3]]) + if(nchar(Post)==0){ + Dr<- "s1" + } + else{ + Dr<- paste("s",Post,sep="") + } + } + if(toupper(Posh)=="D"){ + Pt<- Pt-c(0,Cell[[3]]) + if(nchar(Post)==0){ + Dr<- "n1" + } + else{ + Dr<- paste("n",Post,sep="") + } + } + if(toupper(Posh)=="B"){ + Pt<- Pt-c(0,Cell[[3]]) + if(nchar(Post)==0){ + Dr<- "n1" + } + else{ + Dr<- paste("n",Post,sep="") + } + Str<- paste("$\\mathstrut$",Str,sep="") + } + Letter(Pt,Dr,Str) +} + +############################################# + +PutcoL<- function(...) +{ + varargin<- list(...) + Nargs<- length(varargin) + TbL<- varargin[[1]] + if(mode(TbL)!="list"){ + return("Tabledata missing") + } + Ag<- varargin[[2]] + if(mode(Ag)=="numeric"){ + CoL<- Ag + } + else{ + Alpha<- "-ABCDEFGHIJKLMNOPQRSTUVWXYZ" + Clm<- c() + for (I in Looprange(1,nchar(Ag))){ + C<- substr(Ag,I,I) + C<- toupper(C) + Tmp<- strsplit(Alpha,C) + Tmp<- Tmp[[1]] + if(length(Tmp)>1){ + Tmp1<- nchar(Tmp[1]) + Clm<- c(Clm,Tmp1) + } + } + Nrg<- 0 + for (I in seq(length(Clm),1,by=-1)){ + Tmp<- Clm[I] + Tmp1<- length(Clm)-I + Nrg<- Nrg+Tmp*26^Tmp1 + } + CoL<- Nrg + } + Nc<- length(TbL[[3]])+1 + K<- 1 + Dpos<- varargin[[3]] + for (I in Looprange(4,Nargs)){ + if(I-3>Nc){ + break + } + Dt<- varargin[[I]] + if(mode(Dt)!="list"){ + Putcell(TbL,CoL,K,Dpos,Dt) # 2011.03.02 + K<- K+1 + } + else{ + N<- length(Dt) + Str<- Dt[[N]] + Rrng<- c(K,K+1) + Pos<- Dpos + for (J in Looprange(1,N-1)){ + Tmp<- Dt[[J]] + if(mode(Tmp)=="numeric"){ + Rrng<- c(K,K+Tmp) + } + if(mode(Tmp)=="character"){ + Pos<- Tmp + } + } + Putcell(TbL,CoL,Rrng,Pos,Str) + K<- Crng[2] + } + } +} + +Putcol<- function(...) +{ + PutcoL(...) +} + +PutcoLexpr<- function(...) +{ + varargin<- list(...) + Nargs<- length(varargin) + TbL<- varargin[[1]] + if(mode(TbL)!="list"){ + return("Tabledata missing") + } + Ag<- varargin[[2]] + if(mode(Ag)=="numeric"){ + CoL<- Ag + } + else{ + Alpha<- "-ABCDEFGHIJKLMNOPQRSTUVWXYZ" + Clm<- c() + for (I in Looprange(1,nchar(Ag))){ + C<- substr(Ag,I,I) + C<- toupper(C) + Tmp<- strsplit(Alpha,C) + Tmp<- Tmp[[1]] + if(length(Tmp)>1){ + Tmp1<- nchar(Tmp[1]) + Clm<- c(Clm,Tmp1) + } + } + Nrg<- 0 + for (I in seq(length(Clm),1,by=-1)){ + Tmp<- Clm[I] + Tmp1<- length(Clm)-I + Nrg<- Nrg+Tmp*26^Tmp1 + } + CoL<- Nrg + } + Nc<- length(TbL[[3]])+1 + K<- 1 + Dpos<- varargin[[3]] + for (I in Looprange(4,Nargs)){ + if(I-3>Nc){ + break + } + Dt<- varargin[[I]] + if(mode(Dt)!="list"){ + Dt<- paste("$",Dt,"$",sep="") + Putcell(TbL,CoL,K,Dpos,Dt) # 2011.03.02 + K<- K+1 + } + else{ + N<- length(Dt) + Str<- paste("$",Dt[[N]],"$",sep="") + Rrng<- c(K,K+1) + Pos<- Dpos + for (J in Looprange(1,N-1)){ + Tmp<- Dt[[J]] + if(mode(Tmp)=="numeric"){ + Rrng<- c(K,K+Tmp) + } + if(mode(Tmp)=="character"){ + Pos<- Tmp + } + } + Putcell(TbL,CoL,Rrng,Pos,Str) + K<- Crng[2] + } + } +} + +Putcolexpr<- function(...) +{ + PutcoLexpr(...) +} + +##################################################### + +PutcoLstr<- function(...) +{ + varargin<- list(...) + Nargs<- length(varargin) + Tb<- varargin[[1]] + Nr<- varargin[[2]] + Pos<- varargin[[3]] + Str<- varargin[[4]] + Sep<- "" + if(Nargs>4){ + Sep<- varargin[[5]] + } + if(nchar(Sep)==0){ + for (I in Looprange(1,nchar(Str))){ + Tmp<- substr(Str,I,I) + Putcell(Tb,Nr,I,Pos,Tmp) + } + } + else{ + Ltr<- "" + K<- 1 + for (I in Looprange(1,length(Str))){ + Tmp<- substr(Str,I,I) + if(Tmp==Sep){ + Putcell(Tb,Nr,K,Pos,Ltr) + K<- K+1 + Ltr<- "" + } + else{ + Ltr<- paste(Ltr,Tmp,sep="") + } + } + if(nchar(Ltr)>0){ + Putcell(Tb,Nr,K,Pos,Ltr) + } + } +} + +############################################# + +Putrow<- function(...) +{ + varargin<- list(...) + Nargs<- length(varargin) + TbL<- varargin[[1]] + if(mode(TbL)!="list"){ + return("Tabledata missing") + } + Row<- varargin[[2]] + Nr<- length(TbL[[2]])+1 + K<- 1 + Dpos<- varargin[[3]] + for (I in Looprange(4,Nargs)){ + if(I-3>Nr){ + break; + } + Dt<- varargin[[I]] + if(mode(Dt)!="list"){ + Putcell(TbL,K,Row,Dpos,Dt) # 110308 + K<- K+1 + } + else{ + N<- length(Dt) + Str<- Dt[[N]] + Crng<- c(K,K+1) + Pos<- Dpos + for (J in Looprange(1,N-1)){ + Tmp<- Dt[[J]] + if(mode(Tmp)=="numeric"){ + Crng<- c(K,K+Tmp) + } + if(mode(Tmp)=="character"){ + Pos<- Tmp + } + } + Putcell(TbL,Crng,Row,Pos,Str) + K<- Crng[2] + } + } +} + +Putrowexpr<- function(...) +{ + varargin<- list(...) + Nargs<- length(varargin) + TbL<- varargin[[1]] + if(mode(TbL)!="list"){ + return("Tabledata missing") + } + Row<- varargin[[2]] + Nr<- length(TbL[[2]])+1 + K<- 1 + Dpos<- varargin[[3]] + for (I in Looprange(4,Nargs)){ + if(I-3>Nr){ + break; + } + Dt<- varargin[[I]] + if(mode(Dt)!="list"){ + Dt<- paste("$",Dt,"$",sep="") + Putcell(TbL,K,Row,Dpos,Dt) #110308 + K<- K+1 + } + else{ + N<- length(Dt) + Str<- paste("$",Dt[[N]],"$",sep="") + Crng<- c(K,K+1) + Pos<- Dpos + for (J in Looprange(1,N-1)){ + Tmp<- Dt[[J]] + if(mode(Tmp)=="numeric"){ + Crng<- c(K,K+Tmp) + } + if(mode(Tmp)=="character"){ + Pos<- Tmp + } + } + Putcell(TbL,Crng,Row,Pos,Str) + K<- Crng[2] + } + } +} + +#################################################### + +Putrowstr<- function(...) +{ + varargin<- list(...) + Nargs<- length(varargin) + Tb<- varargin[[1]] + Nr<- varargin[[2]] + Pos<- varargin[[3]] + Str<- varargin[[4]] + Sep<- "" + if(Nargs>4){ + Sep<- varargin[[5]] + } + if(nchar(Sep)==0){ + for (I in Looprange(1,nchar(Str))){ + Tmp<- substr(Str,I,I) + Putcell(Tb,I,Nr,Pos,Tmp) + } + } + else{ + Ltr<- "" + K<- 1 + for (I in Looprange(1,length(Str))){ + Tmp<- substr(Str,I,I) + if(Tmp==Sep){ + Putcell(Tb,K,Nr,Pos,Ltr) + K<- K+1 + Ltr<- "" + } + else{ + Ltr<- paste(Ltr,Tmp,sep="") + } + } + if(nchar(Ltr)>0){ + Putcell(Tb,K,Nr,Pos,Ltr) + } + } +} + +############################################ +# 11.05.28 + +Ratiocmyk<- function(Color) +{ + if(is.numeric(Color)){ + return(Color) + } + R<- + switch(Color, + greenyellow=c(0.15,0,0.69,0), + yellow=c(0,0,1,0), + goldenrod=c(0,0.1,0.84,0), + dandelion=c(0,0.29,0.84,0), + apricot=c(0,0.32,0.52,0), + peach=c(0,0.5,0.7,0), + melon=c(0,0.46,0.5,0), + yelloworange=c(0,0.42,1,0), + orange=c(0,0.61,0.87,0), + burntorange=c(0,0.51,1,0), + bittersweet=c(0,0.75,1,0.24), + redorange=c(0,0.77,0.87,0), + mahogany=c(0,0.85,0.87,0.35), + maroon=c(0,0.87,0.68,0.32), + brickred=c(0,0.89,0.94,0.28), + red=c(0,1,1,0), + orangered=c(0,1,0.5,0), + rubinered=c(0,1,0.13,0), + wildstrawberry=c(0,0.96,0.39,0), + salmon=c(0,0.53,0.38,0), + carnationpink=c(0,0.63,0,0), + magenta=c(0,1,0,0), + violetred=c(0,0.81,0,0), + rhodamine=c(0,0.82,0,0), + mulberry=c(0.34,0.9,0,0.02), + redviolet=c(0.07,0.9,0,0.34), + fuchsia=c(0.47,0.91,0,0.08), + lavender=c(0,0.48,0,0), + thistle=c(0.12,0.59,0,0), + orchid=c(0.32,0.64,0,0), + darkorchid=c(0.4,0.8,0.2,0), + purple=c(0.45,0.86,0,0), + plum=c(0.5,1,0,0), + violet=c(0.79,0.88,0,0), + royalpurple=c(0.75,0.9,0,0), + blueviolet=c(0.86,0.91,0,0.04), + periwinkle=c(0.57,0.55,0,0), + cadetblue=c(0.62,0.57,0.23,0), + cornflowerblue=c(0.65,0.13,0,0), + midnightblue=c(0.98,0.13,0,0.43), + navyblue=c(0.94,0.54,0,0), + royalblue=c(1,0.5,0,0), + blue=c(1,1,0,0), + cerulean=c(0.94,0.11,0,0), + cyan=c(1,0,0,0), + processblue=c(0.96,0,0,0), + skyblue=c(0.62,0,0.12,0), + turquoise=c(0.85,0,0.2,0), + tealblue=c(0.86,0,0.34,0.02), + aquamarine=c(0.82,0,0.3,0), + bluegreen=c(0.85,0,0.33,0), + emerald=c(1,0,0.5,0), + junglegreen=c(0.99,0,0.52,0), + seagreen=c(0.69,0,0.5,0), + green=c(1,0,1,0), + forestgreen=c(0.91,0,0.88,0.12), + pinegreen=c(0.92,0,0.59,0.25), + limegreen=c(0.5,0,1,0), + yellowgreen=c(0.44,0,0.74,0), + springgreen=c(0.26,0,0.76,0), + olivegreen=c(0.64,0,0.95,0.4), + rawsienna=c(0,0.72,1,0.45), + sepia=c(0,0.83,1,0.7), + brown=c(0,0.81,1,0.6), + tan=c(0.14,0.42,0.56,0), + gray=c(0,0,0,0.5), + black=c(0,0,0,1), + white=c(0,0,0,0) + ) + if(length(R)<4){ + print("No color") + return(c()) + } + return(R) +} + +############################################ +# 11.01.07 + +Readtextdata<- function(...) +{ + varargin<- list(...) + OutL<- list() + Nargs<- length(varargin) + Fname<- varargin[[1]] + Tmp<- readLines(Fname,n=1) + if(length(grep("\t",Tmp))>0){ + Sep<- "\t" + } + else if(length(grep(",",Tmp))>0){ + Sep<- "," + } + else{ + Sep<- " " + } + Hajime<- c(1,1) + Owari<- c(Inf,Inf) + C<- Inf + R<- Inf + Rna<- FALSE + Cna<- TRUE + Mat<- FALSE + Num<- TRUE + D<- -Inf + Flg<- 0 + for (I in Looprange(2,Nargs)){ + Tmp<- varargin[[I]] + if(mode(Tmp)=="numeric"){ + if (Flg==0){ + Hajime<- Tmp + Flg<- 1 + } + else{ + Owari<- Tmp + } + } + else{ + eval(parse(text=Tmp)) + } + } + Tmp<- Hajime+c(R-1,C-1) + Owari<- c(min(Owari[1],Tmp[1]),min(Owari[2],Tmp[2])) + if(Cna){ + Df<- read.table(Fname,sep=Sep,header=TRUE,,stringsAsFactors=FALSE) + } + else{ + Df<- read.table(Fname,sep=Sep,header=FALSE,,stringsAsFactors=FALSE) + Nv<- c(1:ncol(Df)) + colnames(Df)<- Nv + } + if(Rna){ + rownames(Df)<-Df[,1] + Hajime<- Hajime+c(0,1) + } + if(Mat){ + M<- as.matrix(Df) + Tmp1<- min(Owari[1],nrow(M)) + Tmp2<- min(Owari[2],ncol(M)) + Out<- as.matrix(M[Hajime[1]:Tmp1,Hajime[2]:Tmp2]) + if(Num){ + Tmp1<- as.numeric(Out) + Out<- matrix(Tmp1,nrow=nrow(Out)) + } + } + else{ + Tmp1<- min(Owari[1],nrow(Df)) + Tmp2<- min(Owari[2],ncol(Df)) + Out<- Df[Hajime[1]:Tmp1,Hajime[2]:Tmp2] + } + if(D!=-Inf){ # 11.01.20 v2 + Tmp<- ncol(Out) # 11.01.07 + Tmp1<- rep(Inf,Tmp) + Out[Out[,1]<=D,]<- Tmp1 # 11.01.07 + } + return(Out) +} + +################################## + +Reflectdata<- function(...) +{ + varargin<- list(...) + Nargs<- length(varargin) + Eps<- 10^(-8) + ML<- varargin[[1]] + if(Mixtype(ML)==1){ + ML<- list(ML) + } + if(Nargs==1){ + PtA<- c(0,0); PtB<- PtA + } + else{ + Pts<- varargin[[2]] + if(length(Pts)==2){ + PtA<- Pts; PtB<- PtA + } + else{ + PtA<- Pts[1:2]; PtB<- Pts[3:4] + } + } + OutL<- list() + for (N in Looprange(1,length(ML))){ + GL<- Op(N,ML) + Out<- c() + for (I in Looprange(1,Nrow(GL))){ + if(is.matrix(GL)){ # 10.12.07 + Tmp<- GL[I,] + } + else{ + Tmp<- GL + } + X1<- Tmp[1] + Y1<- Tmp[2] + if(X1==Inf){ + X2<- X1 + Y2<- Y1 + } + else{ + if(Norm(PtA-PtB)<Eps){ + X2<- 2*PtA[1]-X1 + Y2<- 2*PtA[2]-Y1 + } + else{ + U<- PtB[1]-PtA[1] + V<- PtB[2]-PtA[2] + A<- PtA[1] + B<- PtA[2] + X2<- (U^2-V^2)/(U^2+V^2)*X1+2*U*V/(U^2+V^2)*Y1 + X2<- X2-2*V*(U*B-V*A)/(U^2+V^2) + Y2<- 2*U*V/(U^2+V^2)*X1-(U^2-V^2)/(U^2+V^2)*Y1 + Y2<- Y2+2*U*(U*B-V*A)/(U^2+V^2) + } + } + Out<- Appendrow(Out,c(X2,Y2)) + } + OutL<- Mixjoin(OutL,list(Out)) + } + if(length(OutL)==1){ + OutL<- Op(1,OutL) + } + return(OutL) +} + +########################################## + +Writetextdata<- function(...) +{ + varargin<- list(...) + OutL<- list() + Nargs<- length(varargin) + Data<- varargin[[1]] + Fname<- varargin[[2]] + Sep="," + for (I in Looprange(3,Nargs)){ + Tmp<- varargin[[I]] + eval(parse(text=Tmp)) + } + write.table(Data,Fname,sep=Sep,row.names=FALSE,na="") +} + +########################################## +# 2014.12.17 +# 2015.10.29 + +WriteOutData<- function(...){ + varargin<- list(...) + Nargs<- length(varargin) +# if modulo(Nargs,2)==0 then +# Fname=Fnameout; +# Nst=1; +# else + Fname=varargin[[1]] + Nst=2; +# end; + for(N in seq(Nst,Nargs,by=2)){ + Gname=varargin[[N]] + Tmp=paste(Gname,"//",sep="") + if(N==Nst){ + cat(Tmp,"\n",sep="",file=Fname) + } + else{ + cat(Tmp,"\n",sep="",file=Fname,append=TRUE) + } + Gdata=varargin[[N+1]] + Gdata=Flattenlist(Gdata) + if(!is.list(Gdata)){Gdata=list(Gdata)} + for(K in Looprange(1,length(Gdata))){ + GL=Dividegraphics(Gdata[[K]]) +# for(J in seq(1,length(GL))){ + for(J in Looprange(1,length(GL))){ + cat("start//","\n",sep="",file=Fname,append=TRUE) + Str="" + Iend=Numptcrv(GL[[J]]) +# for(II in seq(1,Iend)){ + for(II in Looprange(1,Iend)){ + Pt=Ptcrv(II,GL[[J]]) + if(nchar(Str)>0){ + Str=paste(Str,",",sep="") + } + if(length(Pt)<3){ + Str=paste(Str,sprintf("[%5.5f,%5.5f]",Pt[1],Pt[2]),sep="") + } + else{ + Str=paste(Str,sprintf("[%5.5f,%5.5f,%5.5f]",Pt[1],Pt[2],Pt[3]),sep="") + } + if(nchar(Str)>80){ + cat("[",Str,"]//","\n",sep="",file=Fname,append=TRUE) + Str="" + } + } + if(nchar(Str)>0){ + cat("[",Str,"]//","\n",sep="",file=Fname,append=TRUE) + } + if((N==Nargs-1) & (K==length(Gdata)) & (J==length(GL))){ +# cat("end////","\n",sep="",file=Fname,append=TRUE) + cat("end//","\n",sep="",file=Fname,append=TRUE) + } + else{ + cat("end//","\n",sep="",file=Fname,append=TRUE) + } + } + } + } + cat("//","\n",sep="",file=Fname,append=TRUE) # 15.11.05 +} + +###### Old #################################### +# 2015.10.23 +ReadOutData<- function(...){ + varargin<- list(...) + Nargs<- length(varargin) + Fname=varargin[[1]] + cmdall=readLines(Fname) + cmdall=gsub("//","",cmdall,fixed=TRUE) + varname=cmdall[1] + outdt=list() + varL=c() + ptL=list() + flg=0 + for(cmd in cmdall){ + if(nchar(cmd)>0){ + if((cmd=="start") | cmd=="end" | substring(cmd,1,1)=="["){ + if(cmd=="start"){ + pts=c() + } + if(cmd=="end"){ + ptL=c(ptL,list(pts)) + } + if(substring(cmd,1,1)=="["){ + tmp1=paste(",",substring(cmd,2,nchar(cmd)-1),sep="") + tmp1=strsplit(tmp1,"]",fixed=TRUE) + tmp1=tmp1[[1]] + tmp1=gsub(",[","c(",tmp1,fixed=TRUE) + for(st in tmp1){ + tmp=eval(parse(text=paste(st,")",sep=""))) + pts=rbind(pts,tmp) + } + row.names(pts)=1:nrow(pts) + } + } + else{ + varname=cmd + varL=c(varL,varname) + if(flg==0){ # 17.10.07from + flg=1 + }else{ + outdt=c(outdt,list(ptL)) + } # 17.10.07until + ptL=c() + } + } + } + outdt=c(outdt,list(ptL)) # 17.10.07 + names(outdt)=varL + for(var in varL){ + tmp=paste(var,"<<- outdt$",var,sep="") + eval(parse(text=tmp)) + } +# print(varL) + outdt +} + +#################################################### + +ReadOutData<- function(...){ #2017.10.23 + varargin<- list(...) + Nargs<- length(varargin) + Fname=varargin[[1]] + cmdall=readLines(Fname) + cmdall=gsub("//","",cmdall,fixed=TRUE) + varname=""#17.12.13 cmdall[1] + outdt=list() + varL=c() + ptL=list() + flg=0 + for(cmd in cmdall){ + if(nchar(cmd)>0){ + if((cmd=="start") | cmd=="end" | substring(cmd,1,1)=="["){ + if(cmd=="start"){ + tmp=paste(varname,"<<- c(",varname,",list(c()))",sep="") + eval(parse(text=tmp)) + Ctr=Ctr+1 + } + if(cmd=="end"){ + } + if(substring(cmd,1,1)=="["){ + tmp1=paste(",",substring(cmd,2,nchar(cmd)-1),sep="") + tmp1=strsplit(tmp1,"]",fixed=TRUE) + tmp1=tmp1[[1]] + tmp1=gsub(",[","c(",tmp1,fixed=TRUE) + for(st in tmp1){ + tmp=paste(varname,"[[",as.character(Ctr),"]]",sep="") + tmp=paste(tmp,"<<- rbind(",tmp,",",st,"))",sep="")# + eval(parse(text=tmp)) + } + } + } + else{ + # 17.12.13from + if(nchar(varname)>0){ + tmp=paste("if(length(",varname,")==1){",varname,"<<- ",varname,"[[1]]}",sep="") + eval(parse(text=tmp)) + } + # 17.12.13until + varname=cmd + tmp=paste(varname,"<<- list()",sep="") + eval(parse(text=tmp)) + Ctr=0 + if(flg==0){ # 17.10.07from + flg=1 + }else{ + } # 17.10.07until + } + } + } + # 17.12.13from + tmp=paste("if(length(",varname,")==1){",varname,"<<- ",varname,"[[1]]}",sep="") + eval(parse(text=tmp)) + # 17.12.13until +} + +#################################################### + +Rotatedata<- function(..., deg=FALSE) +{ + varargin<- list(...) + Nargs<- length(varargin) + Eps<- 10^(-8) + ML<- varargin[[1]] + if(Mixtype(ML)==1){ + ML<- list(ML) + } + Theta<- varargin[[2]] + if(deg) Theta<- Theta*pi/180 # 10.12.07 + if(Nargs==2){ + Pt<- c(0,0) + } + else{ + Pt<- varargin[[3]] + } + Cx<- Pt[1]; Cy<- Pt[2] + OutL<- c() + for (N in Looprange(1,length(ML))){ + GL<- Op(N,ML) + Out<- c() + for (I in Looprange(1,Nrow(GL))){ + if(is.matrix(GL)){ + Tmp<- GL[I,] + } + else{ + Tmp<- GL + } + X1<- Tmp[1] + Y1<- Tmp[2] + if(X1==Inf){ + X2<- X1 + Y2<- Y1 + } + else{ + X2<- Cx+(X1-Cx)*cos(Theta)-(Y1-Cy)*sin(Theta) + Y2<- Cy+(X1-Cx)*sin(Theta)+(Y1-Cy)*cos(Theta) + } + Out<- Appendrow(Out,c(X2,Y2)) + } + if(nrow(Out)==1){ + Out<- Out[1,] + } + OutL<- Mixjoin(OutL,list(Out)) + } + if(length(OutL)==1){ + OutL<- Op(1,OutL) + } + return(OutL) +} + +############################################### + +Scaledata<- function(...) +{ + varargin<- list(...) + Nargs<- length(varargin) + Eps<- 10^(-8) + ML<- varargin[[1]] + if(Mixtype(ML)==1){ + ML<- list(ML) + } + A<- varargin[[2]] + B<- varargin[[3]] + if(Nargs==3){ + Pt<- c(0,0) + } + else{ + Pt<- varargin[[4]] + } + OutL<- list() + for (N in Looprange(1,length(ML))){ + GL<- Op(N,ML) + Out<- c() + for (I in Looprange(1,Nrow(GL))){ + if(is.matrix(GL)){ # 10.12.07 + Tmp<- GL[I,] + } + else{ + Tmp<- GL + } + X1<- Tmp[1] + Y1<- Tmp[2] + if(X1==Inf){ + X2<- X1 + Y2<-Y1 + } + else{ + X2<- Pt[1]+A*(X1-Pt[1]) + Y2<- Pt[2]+B*(Y1-Pt[2]) + } + Out<- Appendrow(Out,c(X2,Y2)) + } + OutL<- Mixjoin(OutL,list(Out)) + } + if(length(OutL)==1){ + OutL<- Op(1,OutL) + } + return(OutL) +} + +################################ + +Setarrow<- function(...) +{ + varargin<- list(...) + Nargs<- length(varargin) + if(Nargs==0){ + Str<- paste("Size=",YaSize,",","Angle=",YaAngle,",",sep="") + Str<- paste(Str,"Position=",YaThick,",","Style=",YaStyle,sep="") + return(Str) + } + Flg<- 0 + for (I in 1:Nargs){ + Tmp<- varargin[[I]] + if(mode(Tmp)=="numeric"){ + Flg<- Flg+1 + if(Flg==1) YaSize<<-Tmp + if(Flg==2){ + if(Tmp<5){ + YaAngle<<- 18*Tmp + } + else{ + YaAngle<<- Tmp + } + } + if(Flg==3) YaPosition<<- Tmp + if(Flg==4) YaThick<<- Tmp + } + if(mode(Tmp)=="character"){ + YaStyle<<- Tmp + } + } +} + +#################################### + +Setax<- function(...) +{ + varargin<- list(...) + Nargs<- length(varargin) + if(Nargs==0){ + if(ZIKU=="line"){ + Tmp<- "," + } + else{ + Tmp<- paste("(Arrowsize=", as.character(ARROWSIZE),"),",sep="") + } + Str<- paste(ZIKU,Tmp,XNAME,",",XPOS,",",sep="") + Str<- paste(Str,YNAME,",",YPOS,",",ONAME,",",OPOS,sep="") + return(Str) + } + ArgL<- c() + Is<- 1 + Tmp<- varargin[[1]] + if(mode(Tmp)=="numeric" && length(Tmp)==1){ + Is<- varargin[[1]] + ArgL<- c() + for (I in Looprange(1,Is-1)){ + ArgL<- c(ArgL,"") + } + for (I in Looprange(2,Nargs)){ + ArgL<- c(ArgL,varargin[[I]]) + } + } + else{ + if(Nargs==1){ + ArgL<- c(varargin[[1]]) + } + else{ + Tmp<- varargin[[2]] + if(mode(Tmp)=="numeric" && length(Tmp)==1){ + ARROWSIZE<<-Tmp + ArgL<- c(varargin[[1]]) + for (I in Looprange(3,Nargs)){ + ArgL<- c(ArgL,varargin[[I]]) + } + } + else{ + ArgL<- c() + for (I in 1:Nargs){ + ArgL<- c(ArgL,varargin[[I]]) + } + } + } + } + for (I in Looprange(length(ArgL)+1,7)){ + ArgL<- c(ArgL,"") + } + Zk<- ArgL[1] + if(nchar(Zk)>0){ + ZL<-substr(Zk,2,nchar(Zk)) + Zk<-substr(Zk,1,1) + if(nchar(ZL)>0){ + ARROWSIZE<<- as.numeric(ZL) + } + } + Xn<- ArgL[2]; Xp<- ArgL[3] + Yn<- ArgL[4]; Yp<- ArgL[5] + Genn<- ArgL[6]; Genp<- ArgL[7] + if(nchar(Zk)>0){ + C<- Zk + if(C=="a"){ + ZIKU<<- "arrow" + } + else{ + ZIKU<<- "line" + } + } + if(nchar(Xn)>0){ + XNAME<<- paste("$",Xn,"$",sep="") + } + if(nchar(Xp)>0){ + XPOS<<- Xp + } + if(nchar(Yn)>0){ + YNAME<<- paste("$",Yn,"$",sep="") + } + if(nchar(Yp)>0){ + YPOS<<-Yp + } + if(nchar(Genn)>0){ + ONAME<<- Genn + } + if(nchar(Genp)>0){ + OPOS<<- Genp + } + Out<- ""; +} + +################################# +# 11.08.24 + +Setcolor<- function(...){ + varargin<- list(...) + Color<- 'black' + Kosa<- 1 + for(J in Looprange(1,length(varargin))){ + Tmp<- varargin[[J]] + if(is.character(Tmp)) Color<- Tmp + if(is.numeric(Tmp)){ + if(length(Tmp)==1){# 11.08.24 + Kosa<- Tmp + } + else{ + Color<- Tmp + } + }# 11.08.24 + } + Iro<- Ratiocmyk(Color) + if(length(Iro)==0) return(c()) + Str<- "\\color[cmyk]{" #17.09.22 + for(J in 1:4){ + Str<- paste(Str,as.character(Kosa*Iro[J]),sep="") + if(J<4){ + Str<- paste(Str,",",sep="") + } + } + Str<- paste(Str,"}",sep="") + Texcom(Str) +} + +################################## + +Setmarklen<- function(...) +{ + varargin<- list(...) + Nargs<- length(varargin) + if(Nargs==0){ + Tmp<- MARKLENNow/MARKLENInit + Tmp=round(Tmp*100)/100 + return(Tmp) + } + Size<- varargin[[1]] + MARKLENNow<<- MARKLENInit*Size + MARKLEN<<- MARKLENNow*1000/2.54/MilliIn +} + +############################### + +Setorigin<- function(...) +{ + varargin<- list(...) + Nargs<- length(varargin) + if(Nargs==0){ + return(GENTEN) + } + Pt<- varargin[[1]] + GENTEN<<- Pt; +} + +################################ + +Setscaling<- function(...) +{ + varargin<- list(...) + Nargs<- length(varargin) + if(Nargs==0) + { + return(c(SCALEY,LOGX,LOGY)) + } + for (I in 1:Nargs) + { + Tmp<- varargin[[I]] + if(mode(Tmp)=="numeric") + { + SCALEY<<- Tmp + } + if(mode(Tmp)=="character") + { + if(Tmp=="l") + { + LOGX<<- 0 + LOGY<<- 1 + } + else if(Tmp=="ll") + { + LOGX<<- 1 + LOGY<<- 1 + } + else + { + LOGX<<- 0 + LOGY<<- 0 + } + } + } + Tmp<- c(SCALEY,LOGX,LOGY); +} + +######################################### + +Setpen<-function(Width) +{ + PenThick<<-round(PenThickInit*Width) + Str=paste("\\special{pn ", as.character(PenThick),"}%\n",sep="") + cat(Str,file=Wfile,append=TRUE) +} + +############################################## + +Setpt<- function(...) +{ + varargin<- list(...) + Nargs<- length(varargin) + if(Nargs==0) + { + Tmp<- TenSize/TenSizeInit + Tmp<- round(Tmp*100)/100 + return(Tmp) + } + Size<- varargin[[1]] + TenSize<<- TenSizeInit*Size; +} + +############################################## + +Setunitlen<-function(...) +{ + varargin<-list(...) + if(length(varargin)==0){ + return(ULEN) + } + Ul=varargin[[1]] + Dx<-XMAX-XMIN + Dy<-YMAX-YMIN + Sym<-".0123456789 +-*/" + SL<-Sym + OL<-"+-*/" + if(nchar(Ul)>0){ + ULEN<<-Ul + } + Is<-1 + VL<-"" + Ucode<-ULEN + for (I in 1:nchar(Ucode)){ + C<-substring(Ucode,I,I) + if(length(grep(C,SL))>0){ + if(length(grep(C,OL))>0){ + Tmp<-substring(Ucode,Is,I-1) + Str<-paste(VL,Tmp,C,sep="") + VL<-Str + Is<-I+1 + } + } + else{ + Unit<-substring(Ucode,I,I+1) + Str<-substring(Ucode,Is,I-1) + VL<-paste(VL,Str,sep="") + break; + } + } + Valu<-eval(parse(text=VL)) + Str<-as.character(Valu) + ULEN<<-paste(Str,Unit,sep=""); + if(Unit=="cm") MilliIn<<-1000/2.54*Valu + if(Unit=="mm") MilliIn<<-1000/2.54*Valu/10 + if(Unit=="in") MilliIn<<-1000*Valu + if(Unit=="pt") MilliIn<<-1000/72.27*Valu + if(Unit=="pc") MilliIn<<-1000/6.022*Valu + if(Unit=="bp") MilliIn<<-1000/72*Valu + if(Unit=="dd2") MilliIn<<-1000/1238/1157/72.27*Valu + if(Unit=="cc") MilliIn<<-1000/1238/1157/72.27*12*Valu + if(Unit=="sp") MilliIn<<-1000/72.27/65536*Valu/10 + MARKLEN<<-MARKLENNow*1000/2.54/MilliIn + MEMORI<<-MEMORINow*1000/2.54/MilliIn #17.12.17 +} + +######################################### +# 10.11.20 + +Setwindow<-function(...) +{ + varargin<-list(...) + Nargs<-length(varargin) + if(Nargs==0){ + Out<-c(XMIN,XMAX,YMIN,YMAX) + return(Out) + } + if(Nargs==1){ + Dt<- varargin[[1]] + if(is.list(Dt) && !is.data.frame(Dt)){ + Tmp<- as.data.frame(Dt) + Dt<- t(Tmp) + } + Xm<- min(Dt[,1]) + XM<- max(Dt[,1]) + Ym<- min(Dt[,2]) + YM<- max(Dt[,2]) + Str<- "Setwindow(" + Str<- paste(Str,"c(",as.character(Xm),",",as.character(XM),"),c(",sep="") + Str<- paste(Str,as.character(Ym),",",as.character(YM),")",sep="") + Str<- paste(Str,")",sep="") + print(Str) + } + if(Nargs==2){ + RgX<-varargin[[1]] + RgY<-varargin[[2]] + XMIN<<-RgX[1]; XMAX<<-RgX[2] + YMIN<<-RgY[1]; YMAX<<-RgY[2] + } + if(Nargs==4){ + XMIN<<-varargin[[1]]; XMAX<<-varargin[[2]] + YMIN<<-varargin[[3]]; YMAX<<-varargin[[4]] + } + Out<- c(XMIN,XMAX,YMIN,YMAX); +} + +######################################### + +Shadeold<- function(...) +{ ## Scaling is implemented + varargin<- list(...) + Nargs<- length(varargin) + Iroflg=0 + Kosa=1 + if(Nargs>1){ + Iro=varargin[[Nargs]] + if(is.character(Iro)){ + Iroflg=1 + if(length(grep("{",Iro))>0){ + Str=paste("{\\color",Iro,sep="") + } + else{ + Str=paste("{\\color{",Iro,"}",sep="") + } + } + else{ + if(length(Iro)==1){ + Kosa=Iro + } + else{ + Iroflg=1 + if(length(Iro)==4){ + Str="{\\color[cmyk]{" + } + else{ + if(length(Iro)==3){ + Str="{\\color[rgb]{" + } + } + for(J in 1:length(Iro)){ + Str=paste(Str,as.character(Iro[J]),sep="") + if(J<length(Iro)){ + Str=paste(Str,",") + } + } + Str=paste(Str,"}") + } + } + if(Iroflg==1){ + Str=paste(Str,"%\n",sep="") + cat(Str,file=Wfile,append=TRUE) + } + } + Tmp=varargin[[1]] + Data=Kyokai(Tmp) + Data=list(Data) ####180327 + for (I in Looprange(1, length(Data))){ + PL<- Op(I,Data) + Mojisu<- 0 + for (J in 1:Nrow(PL)){ + P<- Doscaling(Op(J,PL)) + X<- as.character(round(MilliIn*P[1])) + Y<- as.character(-round(MilliIn*P[2])) + Str<- paste("\\special{pa ",X," ",Y,"}",sep="") + cat(Str,file=Wfile,append=TRUE) + Mojisu<- Mojisu+nchar(Str) + if(Mojisu>80){ + cat("%\n",file=Wfile,append=TRUE) + Mojisu<- 0 + } + } + Str1<- paste("\\special{sh ",as.character(Kosa),"}",sep="") + Str2<- paste("\\special{ip}%\n",sep="") + cat(Str1,file=Wfile,append=TRUE) + cat(Str2,file=Wfile,append=TRUE) + } + if(Iroflg==1){ + cat("}%\n",file=Wfile,append=TRUE) + } +} + +####### Shade new 17.09.24############ + +Shade<- function(...) +{ ## Scaling is implemented + varargin<- list(...) + Nargs<- length(varargin) + Iroflg<- 0 + Kosa<- 1 + if(Nargs>1){ + Iro<- varargin[[Nargs]] + if(mode(Iro)=="character"){ + Iroflg<- 1 + if(length(grep(Iro,"{"))>0) + Str<- paste("{\\color",Iro,sep="") + else + Str<- paste("{\\color{",Iro,"}",sep="") + } + else{ + if(length(Iro)==1) + Kosa<- Iro + else{ + Iroflg<- 1 + if(length(Iro)==4) + Str<- paste("{\\color[cmyk]{",sep="") + else + if(length(Iro)==3) + Str<- paste("{\\color[rgb]{",sep="") + for (J in Looprange(1,length(Iro))){ + Str<- paste(Str,as.character(Iro[J]),sep="") + if(J<length(Iro)) + Str<- paste(Str,",",sep="") + } + Str<- paste(Str,"}",sep="") + } + } + if(Iroflg==1){ + if(Wfile=="default") + cat(Str,"%\n",file="",append=TRUE,sep="") + else + cat(Str,"%\n",file=Wfile,append=TRUE,sep="") + } + } + Tmp<- varargin[[1]] + Data<- Kyoukai(Tmp) + for (I in Looprange(1, length(Data))){ + PL<- Op(I,Data) + Mojisu<- 0 + for (J in 1:Nrow(PL)){ + P<- Doscaling(Op(J,PL)) + X<- as.character(round(MilliIn*P[1])) + Y<- as.character(-round(MilliIn*P[2])) + Str<- paste("\\special{pa ",X," ",Y,"}",sep="") + if(Wfile=="default") + cat(Str,file="",append=TRUE,sep="") + else + cat(Str,file=Wfile,append=TRUE,sep="") + Mojisu<- Mojisu+nchar(Str) + if(Mojisu>80){ + if(Wfile=="default") + cat("%\n",file="",append=TRUE,sep="") + else + cat("%\n",file=Wfile,append=TRUE,sep="") + Mojisu<- 0 + } + } + Str1<- paste("\\special{sh ",as.character(Kosa),"}",sep="") + Str2<- paste("\\special{ip}%\n",sep="") + if(Wfile=="default"){ + cat(Str1,file="",append=TRUE,sep="") + cat(Str2,file="",append=TRUE,sep="") + } + else{ + cat(Str1,file=Wfile,append=TRUE,sep="") + cat(Str2,file=Wfile,append=TRUE,sep="") + } + } + if(Iroflg==1){ + if(Wfile=="default") + cat("}%\n",file="",append=TRUE,sep="") + else + cat("}%\n",file=Wfile,append=TRUE,sep="") + } +} + +############################################## +# 11.01.07 + +Splinedata<- function(...) +{ + varargin<- list(...) + Nargs<- length(varargin) + Eps<- 10^(-3) + PL<- varargin[[1]] + if(mode(PL)=="character"){ + Fname<- PL + PL<- Readtextdata(Fname) + } + else{ + PL<- as.matrix(PL) + if(Nrow(PL)==1){ + PL<- matrix(PL, nrow=length(PL)/2) + PL<- t(PL) + } + } + if(ncol(PL)==3){ + Flg3<- 1 + } + else{ + Flg3<- 0 + } + PLL<- Dividegraphics(PL) + N<- 50 + C<- c() + for (I in Looprange(2,Nargs)){ + Tmp<- varargin[[I]] + if(mode(Tmp)!="character") next + if(length(grep("=",Tmp,fixed=TRUE))>0){ + eval(parse(text=Tmp)) + } + else{ + Tmp1<- substr(Tmp,1,1) + if(toupper(Tmp1)=="C"){ + C<- 1:length(PLL) + } + } + } + Cflg<- rep(0,length(PLL)) + for(J in Looprange(1,length(C))){ + K<- C[J] + Cflg[K]<- 1 + } + if(length(N)>1){ + Nj<- as.numeric(N) + } + else{ + Tmp<- lapply(PLL,nrow) + Tmp1<- as.numeric(Tmp) + MxP<- max(Tmp1) + Nj<- c() + for (J in 1:length(PLL)){ + Tmp<- nrow(PLL[[J]]) + Tmp1<- round(N/MxP*(Tmp-1)) + Nj<- c(Nj,Tmp1) + } + } + OutL<- list() + for(J in 1:length(PLL)){ + PL<- PLL[[J]] + if(Cflg[J]==1){ + if(Norm(PL[1,]-PL[Nrow(PL),])>Eps){ + PL<-Appendrow(PL,PL[1,]) + Nj[J]=round(N/MxP*nrow(PL)) + } + else{ + PL[Nrow(PL),]<- PL[1,] + } + } + Tn<- 1:Nrow(PL) + Xn<- PL[,1] + Yn<- PL[,2] + if(Flg3==1) Zn<- PL[,3] + if(Cflg[J]==0){ + Dxn<- spline(Tn,Xn,n=Nj[J]) + Dyn<- spline(Tn,Yn,n=Nj[J]) + if(Flg3==1) Dzn<- spline(Tn,Zn,n=Nj[J]) + } + else{ + Dxn<- spline(Tn,Xn,method="periodic") + Dyn<- spline(Tn,Yn,method="periodic") + if(Flg3==1) Dzn<- spline(Tn,Zn,method="periodic") + } + Tmp1<- Dxn$y + Tmp2<- Dyn$y + Tmp3<-c() + if(Flg3==1) Tmp3<- Dzn$y + Out<- matrix(c(Tmp1,Tmp2,Tmp3),nrow=length(Tmp1)) + OutL<- c(OutL,list(Out)) + } + return(OutL) +} + +############################################ +# 2013.05.03 Domain is optional + +Tabledata<- function(...){ + varargin<- list(...) + Eps<- 0.001 + Tmp<- varargin[[1]] # 130503 from + if(is.numeric(Tmp)){ + Domain<- varargin[[1]] + VL<- varargin[[2]] + HL<- varargin[[3]] + } + else{ + Domain<- c(-1,-1) + VL<- varargin[[1]] + HL<- varargin[[2]] + } # 130503 until + Hsize<- Domain[1] + SvL<- list(0) + S<- 0 + for (I in Looprange(1,length(VL))){ + Tmp<- VL[[I]] + S<- S+Tmp[1] + Tmp[1]<- S + SvL<- c(SvL,list(Tmp)) + } + if(Hsize>S){ + SvL<- c(SvL,list(Hsize)) + } + Hsize<- Op(1,SvL[[length(SvL)]]) + Vsize<- Domain[2] + ShL<- list(0) + S<- 0 + for (I in Looprange(1,length(HL))){ + Tmp<- HL[[I]] + S<- S+Tmp[1] + Tmp[1]<- S + ShL<- c(ShL,list(Tmp)) + } + if(Vsize>S){ + ShL<- c(ShL,list(Vsize)) + } + Vsize<- Op(1,ShL[[length(ShL)]]) + Marw<- 0; Mare<- 0; Mars<- 0; Marn<- 0 + if(length(Domain)>2){ + Marw<- Domain[3] + Mare<- Domain[4] + } + if(length(Domain)>4){ + Marn<- Domain[5] + Mars<- Domain[6] + } + Setwindow(c(-Marw,Hsize+Mare),c(-Mars,Vsize+Marn)) + Tmp<- Framedata(c(Eps,Hsize-Eps),c(Eps,Vsize-Eps)) + Gdata<- list(Tmp) + Tmp<- -Marw + Hdata<- list(Listplot(c(c(Tmp,-Mars),c(Tmp,Vsize+Marn)))) + for (I in Looprange(1,length(SvL))){ + Data<- SvL[[I]] + X<- Data[1] + if(length(Data)==1){ + Y1<- 0 + Y2<- Vsize + G<- Listplot(c(X,Y1),c(X,Y2)) + } + else{ + G<- c() + for (J in seq(2,length(Data),by=2)){ + Y1<- Vsize-Op(1,ShL[[Data[J]]]) + Y2<- Vsize-Op(1,ShL[[Data[J+1]]]) + Tmp<- Listplot(c(c(X,Y1),c(X,Y2))) + Tmp1<- Appendrow(G,c(Inf,Inf)) + G<- Appendrow(Tmp1,Tmp) + } + G<- G[2:nrow(G),] + } + Hdata<- c(Hdata,list(G)) + } + Tmp<- Hsize+Mare + Tmp1<- Listplot(c(c(Tmp,-Mars),c(Tmp,Vsize+Marn))) + Hdata<- c(Hdata,list(Tmp1)) + Tmp<- Vsize+Marn + Vdata<- list(Listplot(c(c(-Marw,Tmp),c(Hsize+Mare,Tmp)))) + for (I in Looprange(1,length(ShL))){ + Data<- ShL[[I]] + Y<- Vsize-Data[1] + if(length(Data)==1){ + X1<- 0 + X2<- Hsize + G<- Listplot(c(X1,Y),c(X2,Y)) + } + else{ + G<- c() + for (J in seq(2,length(Data),by=2)){ + X1<- Op(1,SvL[[Data[J]]]) + X2<- Op(1,SvL[[Data[J+1]]]) + Tmp<- Listplot(c(X1,Y),c(X2,Y)) + G<- Appendrow(G,c(Inf,Inf)) + G<- Appendrow(G,Tmp) + } + G<-G[2:nrow(G),] + } + Vdata<- c(Vdata,list(G)) + } +# Tmp<- Listplot(c(c(0,0),c(Hsize,0))) # 2011.03.02 +# Vdata<- Mixjoin(Vdata,list(Tmp)) + Tmp<- Listplot(c(c(-Marw,-Mars),c(Hsize+Mare,-Mars))) + Vdata<- Mixjoin(Vdata,list(Tmp)) + Tmp1<- Hdata[Looprange(3,length(Hdata)-2)] + Tmp2<- Vdata[Looprange(3,length(Vdata)-2)] + Gdata<- Mixjoin(Gdata,Tmp1,Tmp2) + Hind<- Looprange(2,1+length(Tmp1)) + Vind<- Looprange(2+length(Tmp1),1+length(Tmp1)+length(Tmp2)) + G=Gdata[[1]] + P1<- Ptsw(G); P2<- Ptnw(G) + Q1<- Ptse(G); Q2<- Ptne(G) + Tmp1<- list(Listplot(c(P1,P2)),Listplot(c(Q1,Q2))) + P1<- Ptnw(G); P2<- Ptne(G) + Q1<- Ptsw(G); Q2<- Ptse(G) + Tmp2<- list(Listplot(c(P1,P2)),Listplot(c(Q1,Q2))) + Tmp3<- Framedata() + Out<- list(Gdata,Hind,Vind,Tmp1,Tmp2,Tmp3) + return(Out) +} + +################################ + +Texcom<- function(Meirei) +{ + if(Meirei=="\\thinlines"){ + Setpen(1); + return(); + } + if(Meirei=="\\thicklines"){ + Setpen(2); + return() + } + if(Meirei=="\\Thicklines"){ + Setpen(3); + return() + } + if(length(Meirei)==0){ # 09.12.07 + Tmp<- c() + } + else{ + Tmp<- grep("newline",Meirei) + } + if(length(Tmp)>0){ + cat("\n",file=Wfile,append=TRUE); + } + else{ + Tmp<- paste(Meirei,"%\n",sep="") + Tmp<- gsub("//","\\",Tmp,fixed=TRUE) # 11.03.02 + cat(Tmp,file=Wfile,append=TRUE); + } +} + +############################################### + +Texctr<- function(N){ + if(is.numeric(N)){ + Alpha<- "abcdefghijklmnopqrstuvwxyz" + Out<- paste("ketpicctr",substr(Alpha,N,N),sep="") + } + else{ + if(grep("\\",N,fixed=TRUE)>0){ + Out<- substr(N,2,nchar(N)) + } + else{ + Out<- N + } + } + return(Out) +} + +############################################### + +Texelse<- function (){ + Texcom(""); + Texcom("\\else") +} + +############################################### + +Texend<- function() +{ + Texcom("%\n}") +} + +############################################### + +Texendfor<- function(I){ + Last<- TEXFORLAST[[TEXFORLEVEL]] + Texcom("") + Tmp<- paste("\\ifnum",Texthectr(I),"<",Last,sep="") + Texcom(Tmp) + Texcom("\\repeat") + Texcom("}") + TEXFORLEVEL<<- TEXFORLEVEL-1 + TEXFORLAST<<- TEXFORLAST[1:(length(TEXFORLAST)-1)] +} + +############################################### + +Texendif<- function(){ + Texcom("") + Texcom("\\fi") + Texcom("}") +} + +############################################### + +Texfor<- function(I,First,Last){ + TEXFORLEVEL<<- TEXFORLEVEL+1; + Texsetctr(I,"0") + Texsetctr(I,paste(as.character(First),"-1",sep="")) + Texcom("") + Texcom("{") + Texcom("\\loop") + Texsetctr(I,"+1") + TEXFORLAST<<- c(TEXFORLAST,as.character(Last)) +} + +############################################### + +Texforinit<- function(){ + TEXFORLEVEL<<- 0 + TEXFORLAST<<- list() +} + +############################################### + +Texif<- function(...){ + varargin<- list(...) + Condstr<- varargin[[1]] + Tp<- 0 + if(length(varargin)>1){ + Tp<- varargin[[2]] + } + Texcom("") + Texcom("{") + if(Tp==0){ + Texcom("\\ifnum") + } + else{ + Texcom("\\ifdim ") + } + Texcom(paste(Condstr," ",sep="")) +} + +###################################### + +Texletter<- function(...) +{ + varargin<- list(...) + Nargs<- length(varargin) + for (I in seq(1,Nargs,by=3)){ + P<- varargin[[I]] + X<- P[1] + if(mode(X)=="numeric"){ + X<- as.character(X) + } + Y<- P[2] + if(mode(Y)=="numeric"){ + Y<- as.character(Y) + } + Houkou<- varargin[[I+1]] + Mojiretu<- varargin[[I+2]] + Hset<- Houkou + Vhoko<- "c" + if(length(grep("n",Hset))>0){ + Vhoko<- "n" + } + if(length(grep("s",Hset))>0){ + Vhoko<- "s" + } + Hhoko<- "c"; + if(length(grep("e",Hset))>0){ + Hhoko<- "e" + } + if(length(grep("w",Hset))>0){ + Hhoko<- "w" + } + Hoko<- paste(Vhoko,Hhoko,sep="") + CalcWidth(Hoko,Mojiretu) + CalcHeight(Hoko,Mojiretu) + Tmp<- paste("\\put(",X,",",Y,"){\\hspace*{\\Width}",sep="") + Str<- paste(Tmp,"\\raisebox{\\Height}{",Mojiretu,"}}%\n",sep="") + cat(Str,file=Wfile,append=TRUE) + } +} + +################################################## + +Texnewcmd<- function(...) +{ + varargin<- list(...) + Nargs<- length(varargin) + Str<- varargin[[1]] + S<- paste("\\newcommand{",Str,"}",sep="") + if(Nargs>1){ + Tmp<- as.character(varargin[[2]]) + S<- paste(S,"[",Tmp,"]",sep="") + } + if(Nargs>2){ + Tmp<- varargin[[3]] + if(mode(Tmp)=="numeric"){ + Tmp<- as.character(Tmp) + } + S<- paste(S,"[",Tmp,"]",sep="") + } + S<- paste(S,"{",sep="") + Texcom(S) +} + +############################################### + +Texnewctr<- function(N) +{ + if(mode(N)=="character"){ + Str<- paste("\\newcounter{",N,"}",sep="") + Texcom(Str) + } + else{ + for (I in N){ + Str<- paste("\\newcounter{",Texctr(I),"}",sep="") + Texcom(Str) + } + } +} +############################################### + +Texrenewcmd<- function(...) +{ + varargin<- list(...) + Nargs<- length(varargin) + Str<- varargin[[1]] + S<- paste("\\renewcommand{",Str,"}",sep="") + if(Nargs>1){ + Tmp<- as.character(varargin[[2]]) + S<- paste(S,"[",Tmp,"]",sep="") + } + if(Nargs>2){ + Tmp<- varargin[[3]] + if(mode(Tmp)=="numeric"){ + Tmp<- as.character(Tmp) + } + S<- paste(S,"[",Tmp,"]",sep="") + } + S<- paste(S,"{",sep="") + Texcom(S) +} + +############################################### + +Texsetctr<- function(Nctr,Opstr) +{ + Ctr<- Texctr(Nctr) + Opstr<- paste(Opstr,"%",sep="") + OperL<- "+-*/%" + Oper<- "" + Va<- "" + Evflg<- 0 + Paflg<- 0 + for (I in Looprange(1,nchar(Opstr))){ + Tmp<- substring(Opstr,I,I) + if(Tmp=="("){ + Paflg<- 1 + if(nchar(Va)>0){ + Evflg<- 1 + Va<- paste(Va,Tmp,sep="") + } + next + } + if(Tmp==")"){ + Paflg<- 0 + if(Evflg>0){ + Va<- paste(Va,Tmp,sep="") + } + next + } + if(Paflg>0){ + Va<- paste(Va,Tmp,sep="") + next + } + if(length(grep(Tmp,OperL))==0){ + Va<- paste(Va,Tmp,sep="") + } + else{ + if(Evflg>0){ + Tmp1<- eval(parse(text=Va)) + Va<- paste("\\value{",Tmp1,"}",sep="") + Evflg<- 0 + } + if(Oper==""){ + if(nchar(Va)>0){ + Str<- paste("\\setcounter{",Ctr,"}{",Va,"}",sep="") + Texcom(Str) + } + Oper<- Tmp + Va<-"" + } + else if(Oper=="+"){ + Str<- paste("\\addtocounter{",Ctr,"}{",Va,"}",sep="") + Texcom(Str) + Oper<- Tmp + Va<-"" + } + else if(Oper=="-"){ + Str<- paste("\\addtocounter{",Ctr,"}{-",Va,"}",sep="") + Texcom(Str) + Oper<- Tmp + Va<-"" + } + else if(Oper=="*"){ + Str<- paste("\\multiply\\value{",Ctr,"} by ",Va,sep="") + Texcom(Str) + Oper<- Tmp + Va<-"" + } + else if(Oper=="/"){ + Str<- paste("\\divide\\value{",Ctr,"} by ",Va,sep="") + Texcom(Str) + Oper<- Tmp + Va<-"" + } + } + } +} + +############################################### + +Texthectr<- function(N) +{ + Out<- paste("\\the",Texctr(N),sep="") + return(Out) +} + +############################################### + +Texvalctr<- function(N){ + Out<- paste("\\value{",Texctr(N),"}",sep="") + return(Out) +} + +############################################### + +Texvctr<- function(N) +{ + Out<- paste("\\value{",Texctr(N),"}",sep="") + return(Out) +} + +############################################### + +Tonumeric <- function(...) +{ + varargin<- list(...) + Nargs<- length(varargin) + Data<- varargin[[1]] + Sp<- c(1,1) + Ep<- c(Inf,Inf) + if(Nargs>1){ + Sp<- varargin[[2]] + } + if(Nargs>2){ + Ep<- varargin[[3]] + } + Nrs<- Sp[1] + Nre<- min(nrow(Data),Ep[1]) + Ncs<- Sp[2] + Nce<- min(ncol(Data),Ep[2]) + Tmp1<- Data[Nrs:Nre, Ncs:Nce] + Tmp2 <- as.numeric(Tmp1) + Out <- matrix(Tmp2,nrow=nrow(Tmp1)) + Sp<- c() + for (I in 1:nrow(Out)){ + for (J in 1:ncol(Out)){ + Tmp<- Out[I,J] + if(!is.na(Tmp)){ + Sp<- c(I,J) + break; + } + } + if(length(Sp)>0) break + } + if(length(Sp)==0){ + return("Numeric data not found") + } + Ep<- c(nrow(Out),ncol(Out)) + for (I in Sp[1]:nrow(Out)){ + Tmp<- Out[I,Sp[2]] + if(is.na(Tmp)){ + Ep[1]<- I-1 + break + } + } + for (J in Sp[2]:ncol(Out)){ + Tmp<- Out[Sp[1],J] + if(is.na(Tmp)){ + Ep[2]<- J-1 + break + } + } + Out<- Out[Sp[1]:Ep[1], Sp[2]:Ep[2]] + return(Out) +} + +################################################## + +Translatedata<- function(...) +{ + varargin<- list(...) + Nargs<- length(varargin) + Eps<- 10^(-8) + ML<- varargin[[1]] + if(Mixtype(ML)==1){ + ML<- list(ML) + } + Tmp=varargin[[2]] + if(mode(Tmp)=="numeric" && length(Tmp)>1){ + A<- Tmp[1]; B<- Tmp[2] + } + else{ + A<- Tmp + if(Nargs>=3){ + B<- varargin[[3]] + } + else{ + B<- 0 + } + } + OutL<- list() + for (N in Looprange(1,length(ML))){ + GL<- Op(N,ML) + Out<- c() + for (I in Looprange(1,Nrow(GL))){ + if(is.matrix(GL)){ # 10.12.07 + Tmp<- GL[I,] + } + else{ + Tmp<- GL + } + X1<- Tmp[1] + Y1<- Tmp[2] + if(X1==Inf){ + X2<- X1 + Y2<-Y1 + } + else{ + X2<- X1+A + Y2<- Y1+B + } + Out<- Appendrow(Out,c(X2,Y2)) + } + OutL<- Mixjoin(OutL,list(Out)) + } + if(length(OutL)==1){ + OutL<- Op(1,OutL) + } + return(OutL) +} + +####################################### + +Unscaling<- function(G) +{ + GLg<- G + if(class(GLg)=="numeric"){ + GLg<-c(G[1]/SCALEX, G[2]/SCALEY) + Tmp<-GLg + if(LOGX==1) Tmp[1]<- 10^(GLg[1]) + if(LOGY==1) Tmp[2]<- 10^(GLg[2]) + return(Tmp) + } + else{ + Tmp1<-matrix(c(1/SCALEX,0,0,1/SCALEY),nrow=2) + GLg<-G %*% Tmp1 + Tmp<-GLg + if(LOGX==1) Tmp[,1]<- 10^(G[,1]) + if(LOGY==1) Tmp[,2]<- 10^(G[,2]) + return(Tmp) + } +} + +############################################# + +Vtickmark<- function(...) +{ ## Scaling is implemented + varargin<- list(...) + Nargs<- length(varargin) + ArgsL<- varargin + if(mode(ArgsL[[1]])=="character"){ + Str<- ArgsL[[1]] + Tmp<- strsplit(Str,"m") + Tmp<- Tmp[[1]] + if(length(Tmp)>1){ + I<- nchar(Tmp[1])+1 + } + else{ + I<- 0 + } + Tmp<- strsplit(Str,"n") + Tmp<- Tmp[[1]] + if(length(Tmp)>1){ + J<- nchar(Tmp[1])+1 + } + else{ + J<- 0 + } + Tmp<- strsplit(Str,"r") + Tmp<- Tmp[[1]] + if(length(Tmp)>1){ + K=nchar(Tmp[1])+1 + } + else{ + K<- 0 + } + if(K>0){ + S<- substr(Str,K+1,nchar(Str)) + R<- as.numeric(S) + if(is.na(R)){ + R<- 1 + } + } + else{ + R<- 1 + K<- nchar(Str)+1 + } + if(J>0){ + S<- substr(Str,J+1,K-1) + Dn<- as.numeric(S) + if(is.na(Dn)){ + Dn<- 1 + } + } + else{ + Dn<- 1000 + J<- nchar(Str)+1 + } + S<- substr(Str,I+1,J-1) + Dm<- as.numeric(S) + if(is.na(Dm)){ + Dm<- 1 + } + ArgsL<- list() + for (I in 1:floor((YMAX-GENTEN[2])/Dm)){ + ArgsL<- Mixjoin(ArgsL,I*Dm) + if(I-floor(I/Dn)*Dn==0){ + Str<- as.character(I*Dm*R) + ArgsL<- Mixjoin(ArgsL,Str) + } + } + for (I in seq(-1,ceiling((YMIN-GENTEN[2])/Dm))){ + ArgsL<- Mixjoin(ArgsL,I*Dm) + if(I-floor(I/Dn)*Dn==0){ + Str<- as.character(I*Dm*R) + ArgsL<- Mixjoin(ArgsL,Str) + } + } + } + MemoriList<- list() + Memori<- list() + for (N in 1:length(ArgsL)){ + Dt<- ArgsL[[N]] + if(mode(Dt)=="numeric" && length(Dt)>1){ + if(length(Memori)>0){ + MemoriList<- Mixjoin(MemoriList,list(Memori)) + } + Memori<- list(Dt[1],Dt[2]) + next + } + if(mode(Dt)=="character"){ + Memori<- Mixjoin(Memori,Dt) + } + else{ + if(length(Memori)>0){ + MemoriList<- Mixjoin(MemoriList,list(Memori)) + } + Memori<- list(GENTEN[1],Dt) + } + } + MemoriList<- Mixjoin(MemoriList,list(Memori)) + for (N in 1:length(MemoriList)){ + Dt<- MemoriList[[N]] + Ndt<- length(Dt) + X=Op(1,Dt) + Y=Op(2,Dt) + Tmp<-Doscaling(c(X,Y)) + X<- Tmp[1] + Y<- Tmp[2] + Moji<- Op(Ndt,Dt) + Tmp1<- Unscaling(c(X+MARKLEN,Y)) + Tmp2<- Unscaling(c(X-MARKLEN,Y)) + Fd<- Listplot(c(Tmp1,Tmp2)) + Drwline(Fd) + if(Ndt==3){ + Tmp<-Unscaling(c(X-MARKLEN,Y)) + Expr(Tmp,"w",Moji) + } + if(Ndt==4){ + Houkou<- Op(3,Dt) + Tmp<-grep("w",Houkou) + if(length(Tmp)>0){ + Tmp<-Unscaling(c(X-MARKLEN,Y)) + Expr(Tmp,Houkou,Moji) + } + else{ + Tmp<- Unscaling(c(X+MARKLEN,Y)) + Expr(Tmp,Houkou,Moji) + } + } + cat("%\n",file=Wfile,append=TRUE) + } +} + +############################################ + +Windisp<-function(...){ + varargin<-list(...) + Nargs<-length(varargin) + Tmp<- Doscaling(c(XMIN,YMIN)) + Xmn<- Tmp[1]; Ymn<- Tmp[2] + Tmp<- Doscaling(c(XMAX,YMAX)) + Xmx<- Tmp[1]; Ymx<- Tmp[2] + plot(c(Xmn,Xmx),c(Ymn,Ymx),type="n",asp=1,axes=FALSE,xlab="",ylab="") + Tmp<- Doscaling(Listplot(c(0,YMIN),c(0,YMAX))) + axis(2,at=as.numeric(Tmp[,2]), labels=round(c(YMIN,YMAX),2)) + Tmp<- Doscaling(Listplot(c(XMIN,0),c(XMAX,0))) + axis(1,at=as.numeric(Tmp[,1]), labels=round(c(XMIN,XMAX),2)) + Tmp1<- c(XMIN,GENTEN[2]) + Tmp2<- c(XMAX,GENTEN[2]) + Tmp3<- Listplot(Tmp1,Tmp2) + Tmp<- MakeCurves(Tmp3,0) + if(Datalength(Tmp)>0){ + lines(Tmp[,1],Tmp[,2],col="green") + } + Tmp1<- c(GENTEN[1],YMAX) + Tmp2<- c(GENTEN[1],YMIN) + Tmp3<- Listplot(Tmp1,Tmp2) + Tmp<- MakeCurves(Tmp3,0) + if(Datalength(Tmp)>0){ + lines(Tmp[,1],Tmp[,2],col="green") + } + Tmp<-Doscaling(Framedata()) + lines(Tmp[,1],Tmp[,2]) + for (I in Looprange(1,Nargs)){ + Pdata<-varargin[[I]] + if(mode(Pdata)=="numeric"){ + Pdata<-list(Pdata) + } + while(Mixtype(Pdata)==3){ # 10.02.23 + Tmp1<- list() + for(II in Looprange(1,length(Pdata))){ + Tmp1<- Mixjoin(Tmp1,Pdata[[II]]) + } + Pdata<- Tmp1 + } # 10.02.23 + for (II in Looprange(1,length(Pdata))){ + Tmp<-Pdata[[II]] + P<-MakeCurves(Tmp,0) + Ndm<-Dataindex(P) + for (J in Looprange(1,Nrow(Ndm))){ + Q<-P[Ndm[J,1]:Ndm[J,2],] + if(Nrow(Q)==1){ + Tmp<-seq(1,Ncol(Q),by=2) + for (K in Tmp){ + Pt<-Q[K:(K+1)] + points(Pt[1],Pt[2]) + } + } + else{ + lines(Q[,1],Q[,2]) + } + } + } + } +} + +############################################ + +WindispT<-function(..., color="black",width=1,new=FALSE,htick=c(),vtick=c()){ # 10.12.04 + par(new=new) + varargin<-list(...) + Nargs<-length(varargin) + if(!new) # 10.12.04 + { + Tmp<- Doscaling(c(XMIN,YMIN)) + Xmn<- Tmp[1]; Ymn<- Tmp[2] + Tmp<- Doscaling(c(XMAX,YMAX)) + Xmx<- Tmp[1]; Ymx<- Tmp[2] + plot(c(Xmn,Xmx),c(Ymn,Ymx),type="n",asp=1,axes=FALSE,xlab="",ylab="") + Tick<- sort(c(YMIN,YMAX,vtick)) #### 10.12.04 from here + Tmp1<- matrix(c(rep(0,length(Tick)),Tick),ncol=2) + Tmp<- Doscaling(Tmp1) + axis(2,at=as.numeric(Tmp[,2]), labels=round(Tick,2)) + Tick<- sort(c(XMIN,XMAX,htick)) + Tmp1<- matrix(c(Tick,rep(0,length(Tick))),ncol=2) + Tmp<- Doscaling(Tmp1) + axis(1,at=as.numeric(Tmp[,1]), labels=round(Tick,2)) #### 10.12.04 to here + Tmp1<- c(XMIN,GENTEN[2]) + Tmp2<- c(XMAX,GENTEN[2]) + Tmp3<- Listplot(Tmp1,Tmp2) + Tmp<- MakeCurves(Tmp3,0) + if(Datalength(Tmp)>0){ + lines(Tmp[,1],Tmp[,2],col="green") + } + Tmp1<- c(GENTEN[1],YMAX) + Tmp2<- c(GENTEN[1],YMIN) + Tmp3<- Listplot(Tmp1,Tmp2) + Tmp<- MakeCurves(Tmp3,0) + if(Datalength(Tmp)>0){ + lines(Tmp[,1],Tmp[,2],col="green") + } + Tmp<-Doscaling(Framedata()) + lines(Tmp[,1],Tmp[,2]) + } + for (I in Looprange(1,Nargs)){ + Pdata<-Flattenlist(varargin[[I]]) # 101129 from here + Cmd<- list() + for (II in Looprange(1,length(Pdata))){ + Tmp<-Pdata[[II]] + if(length(Tmp)==1){ + Cmd<- c(Cmd,list(Tmp)) + next + } + + P<-MakeCurves(Tmp,0) + + if(length(Cmd)>0){ + if(length(Cmd)>=3){ + polygon(P,col=Cmd[[1]],border=Cmd[[2]],density=Cmd[[3]]) + } + else{ + polygon(P,col=Cmd[[1]],border=Cmd[[2]]) + } + next + } # 101129 to here + Ndm<-Dataindex(P) + for (J in Looprange(1,Nrow(Ndm))){ + Q<-P[Ndm[J,1]:Ndm[J,2],] + if(Nrow(Q)==1){ + Tmp<-seq(1,Ncol(Q),by=2) + for (K in Tmp){ + Pt<-Q[K:(K+1)] + points(Pt[1],Pt[2],col=color)#taka101111 + } + } + else{ + lines(Q[,1],Q[,2],col=color,lwd=width)#taka101111 + } + } + } + } + par(new=FALSE) +} + +###################################### + +# 3D + +################################# + +# 10.08.16 +CameracoordCurve<- function(Curve){ + Out<- c() + for(J in Looprange(1,Nrow(Curve))){ + P<- Ptcrv(J,Curve) #P=Curve(J,:); + Tmp<- P-FocusPoint + X1<- Tmp[1]; Y1<- Tmp[2]; Z1<- Tmp[3] + Tmp<- EyePoint-FocusPoint + E1<- Tmp[1]; F1<- Tmp[2]; G1<- Tmp[3] + Ca<- E1/sqrt(E1^2+F1^2) + Sa<- F1/sqrt(E1^2+F1^2) + X2<- X1*Ca+Y1*Sa; Y2<- -X1*Sa+Y1*Ca; Z2<- Z1 + E2<- E1*Ca+F1*Sa; F2<- -E1*Sa+F1*Ca; G2<- G1 + Cb<- E2/sqrt(E2^2+G2^2) + Sb<- G2/sqrt(E2^2+G2^2) + X3<- X2*Cb+Z2*Sb; Y3<- Y2; Z3<- -X2*Sb+Z2*Cb + E3<- E2*Cb+G2*Sb; F3<- F2; G3<- -E2*Sb+G2*Cb + Xz<- X3 + Yz<- E3/(E3-X3)*Y3 + Zz<- E3/(E3-X3)*Z3 + Out<- rbind(Out,c(Yz,Zz,Xz)) + } + rownames(Out)<- 1:Nrow(Out) + return(Out) +} + +######################################### + +#100815 +CameraCurve<- function(Curve){ + Eps<- 10^(-6) + for (I in Looprange(1,Nrow(Curve))){ + P<- Curve[I,] + x<- P[1]; y<- P[2]; z<- P[3] + if(x!=Inf){ + Tmp<- Perspt(P) + if(I==1){ + AnsL<- rbind(c(),Tmp) + }else{ + Tmp1<- AnsL[Nrow(AnsL),] + if(Tmp1[1]==Inf || Norm(Tmp-Tmp1)>Eps){ + AnsL<- rbind(AnsL,Tmp) + } + } + }else{ + AnsL<- rbind(AnsL,c(Inf,Inf)) + } + } + rownames(AnsL)<- 1:Nrow(AnsL) + return(AnsL) +} + +###################################### + +Cancoordpara<- function(P){ # 18.02.15 + Xz<- P[1] + Yz<- P[2] + Zz<- P[3] + X<- -Xz*sin(PHI)-Yz*cos(PHI)*cos(THETA)+Zz*cos(PHI)*sin(THETA) + Y<- Xz*cos(PHI)-Yz*sin(PHI)*cos(THETA)+Zz*sin(PHI)*sin(THETA) + Z<- Yz*sin(THETA)+Zz*cos(THETA) + Out<- c(X,Y,Z) + return(Out) +} + +###################################### + +Cancoordpers<- function(P){ + Tmp<- EyePoint-FocusPoint + E1<- Tmp[1]; F1<- Tmp[2]; G1<- Tmp[3] + Ca<- E1/sqrt(E1^2+F1^2) + Sa<- F1/sqrt(E1^2+F1^2) + E2<- E1*Ca+F1*Sa; F2<- -E1*Sa+F1*Ca; G2<- G1 + Cb<- E2/sqrt(E2^2+G2^2) + Sb<- G2/sqrt(E2^2+G2^2) + E3<- E2*Cb+G2*Sb; F3<- F2; G3<- -E2*Sb+G2*Cb + Xz<- P[3]; Yz<- P[1]; Zz<- P[2] + X3<- Xz; Y3<- Yz*(E3-Xz)/E3; Z3<- Zz*(E3-Xz)/E3 + X2<- X3*Cb-Sb*Z3; Y2<- Y3; Z2<- Cb*Z3+Sb*X3 + X1<- X2*Ca-Sa*Y2; Y1<- Ca*Y2+Sa*X2; Z1<- Z2 + X<- X1+FocusPoint[1] + Y<- Y1+FocusPoint[2] + Z<- Z1+FocusPoint[3] + Out<- c(X,Y,Z) + return(Out) +} + +####################################### + +Embed<- function(...){ + varargin<- list(...) + Nargs<- length(varargin) + Pd3<- varargin[[1]] + if(Mixtype(Pd3)==1){ + Pd3<- list(Pd3) + } + else if(Mixtype(Pd3)==3){ + Tmp<- list(); + for(I in Looprange(1,length(Pd3))){ + Tmp<- c(Tmp,Pd3[[I]]) + } + Pd3<- Tmp + } + Tmpf=varargin[[2]] + if(mode(Tmpf)=="character"){ + Tmp<- varargin[[3]] + Tmp1<- gsub("c(","(",Tmp,fixed=TRUE) + Vstr<- gsub(")",")",Tmp1,fixed=TRUE) + Str<- paste("Tmpfn<- function",Vstr,"{",Tmpf,"}",sep="") + eval(parse(text=Str)) + } + else{ + Tmpfn<- Tmpf + } + Out<- list() + for(I in Looprange(1,length(Pd3))){ + PD<- Pd3[[I]] + Ans<- c() + for(J in Looprange(1,Nrow(PD))){ + P<- PD[J,] + Tmp<- Tmpfn(P[1],P[2]) + Ans<- rbind(Ans,Tmp) + } + Out<- c(Out, list(Ans)) + } + if(length(Out)==1){ + Out<- Out[[1]] + } + return(Out) +} + +####################### +# 10.08.17 +# 14.03.30 +Facesdata<- function(...){ + varargin<-list(...) + Nargs<- length(varargin) + FL<- varargin[[1]] + PT<- varargin[[length(varargin)]] + Tmp<-grep("para",PT,fixed=TRUE) + if(length(Tmp)>0){ + Ptype<- 1 + }else{ + Ptype<- -1 + } + if(Nargs==2){ + CLadd<- list() + }else{ + CLadd<- varargin[[2]] + } + NohiddenL<- list() + HiddenL<- list() + Eps<- 10^(-4) + if(length(CLadd)>0){ + if(mode(CLadd)=="numeric"){ + C<- list() + if(Nrow(CLadd)>1){ + for (I in Looprange(1,Nrow(CLadd))){ + C<- c(C,list(CLadd[I,])) + } + }else{ + I<- 1 + while (I<=Ncol(CLadd)){ + C<- c(C,list(CLadd[1,I:(I+2)])) + I<- I+3 + } + } + CrvL<- list(C) + }else if(mode(CLadd[[1]])=="numeric"){ + CrvL<- list() + for (J in Looprange(1,length(CL))){ + Ctmp<- CLadd[[J]] + C<- list() + if(Nrow(Ctmp)>1){ + for (I in Looprange(1,Nrow(Ctmp))){ + C<- c(C,list(Ctmp[I,])) + } + }else{ + I<- 1 + while(I<=Ncol(Ctmp)){ + C<- c(C,list(Ctmp[1,I:(I+2)])) + I<- I+3 + } + } + CrvL<- c(CrvL,list(C)) + } + }else{ + CrvL<- CLadd + } + }else{ + CrvL<- list() + } + Out<- MakeveLfaceL(FL) + VELNO<<- Out[[1]] + VELHI<<- list() + for (I in Looprange(1,length(CrvL))){ + Tmp<- CrvL[[I]] + for (J in Looprange(1,length(Tmp)-1)){ + Edge<- list(Tmp[J],Tmp[J+1]) + Ntmp<- length(VELNO) + VELNO(Ntmp+1)<<- list(Edge,0,Ntmp+1) + } + } + FaceL<- Out[[2]] + Tmp<- grep("raw",PT,fixed=TRUE) + if(length(Tmp)==0){ + for (Nf in Looprange(1,length(FaceL))){ + Face<- FaceL[[Nf]] + Menkakusi2(Face,Nf,Ptype) + } + } + for (I in Looprange(1,length(VELNO))){ + Edge<- Op(1,VELNO[[I]]) + if(Norm(Edge[[1]]-Edge[[2]])>Eps){ + NohiddenL<- c(NohiddenL,list(Spaceline(Edge))) + } + } + EdgeL<- list() # from 13.03.30 + for(K in Looprange(1,length(VELHI))){ + Edge<- Op(1,VELHI[[K]]) + P<- Edge[[1]]; Q<- Edge[[2]] + if(Norm(P-Q)>Eps){ + EdgeL<- c(EdgeL,list(Edge)) + } + } + for(K in Looprange(1,length(EdgeL))){ + Edge<- EdgeL[[K]] + P<- Edge[[1]]; Q<- Edge[[2]] + Cflg<- 0 + for(J in Looprange(K+1,length(EdgeL))){ + Ej<- EdgeL[[J]] + Pj<- Ej[[1]]; Qj<- Ej[[2]] + if(Norm(Crossprod(Q-P,Qj-Pj))>Eps){ + next + } + if(Norm(Q-Pj)<Eps){ + EdgeL[[J]]<- list(P,Qj) + Cflg<- 1 + break + } + if(Norm(P-Qj)<Eps){ + EdgeL[[J]]=list(Q,Pj) + Cflg<- 1 + break + } + } + if(Cflg==0){ + HiddenL<- c(HiddenL,list(Spaceline(Edge))) + } + } # until 14.03.30 + PHHIDDENDATA<<- HiddenL + return(NohiddenL) +} + +############################## +# 2014.03.31 + +PhHiddenData<- function(){ + PHHIDDENDATA +} + +########## Old Fullform ( Check the case of Polygon )#################### + +Fullformfunc<- function(FdL){# Out=Fullformfunc(FdL) + Out<- list(Op(1,FdL)) + N<- Mixlength(FdL) + for (Jrg in Looprange(1,N)){ + Tmp<- Stripblanks(Op(Jrg,FdL)) + Tmp1<- grep("=c(",Tmp,fixed=TRUE) + if(length(Tmp1)>0){ + break + } + } + Urg<- Stripblanks(Op(Jrg,FdL)) + StrV<- strsplit(Urg,"=",fixed=TRUE)[[1]] + Uname<- StrV[1] + Vrg<- Stripblanks(Op(Jrg+1,FdL)) + StrV<- strsplit(Vrg,"=",fixed=TRUE)[[1]] + Vname<- StrV[1] + if(Jrg==2){ + Tmp<- Stripblanks(Op(1,FdL)) + StrV<- strsplit(Tmp,"=",fixed=TRUE)[[1]] + Zf<- StrV[2] + Tmp<- list(Uname,Vname,Zf,Urg,Vrg) + Out<- c(Out,Tmp) + }else if(Jrg==4){ + Tmp<- Stripblanks(Op(1,FdL)) + StrV<- strsplit(Tmp,"=",fixed=TRUE)[[1]] + Zf<- StrV[2] + Tmp<- Stripblanks(Op(2,FdL)) + StrV<- strsplit(Tmp,"=",fixed=TRUE)[[1]] + Xname<- StrV[1] + Xf<- StrV[2] + Tmp<- Stripblanks(Op(3,FdL)) + StrV<- strsplit(Tmp,"=",fixed=TRUE)[[1]] + Yname<- StrV[1] + Yf<- StrV[2] + Tmp<- gsub(Xname,paste("(",Xf,")",sep=""),Zf,fixed=TRUE) + Zf<- gsub(Yname,paste("(",Yf,")",sep=""),Tmp,fixed=TRUE) + Tmp<- list(Xf,Yf,Zf,Urg,Vrg) + Out<- c(Out,Tmp) + }else{ + Tmp<- Stripblanks(Op(2,FdL)) + StrV<- strsplit(Tmp,"=",fixed=TRUE)[[1]] + Xf<- StrV[2] + Tmp<- Stripblanks(Op(3,FdL)) + StrV<- strsplit(Tmp,"=",fixed=TRUE)[[1]] + Yf<- StrV[2] + Tmp<- Stripblanks(Op(4,FdL)) + StrV<- strsplit(Tmp,"=",fixed=TRUE)[[1]] + Zf<- StrV[2] + Tmp<- list(Xf,Yf,Zf,Urg,Vrg) + Out<- c(Out,Tmp) + } + DrwS<- "enws" + BdyL<- c() + for (I in Looprange(Jrg+2,Mixlength(FdL))){ + Tmp<- Op(I,FdL) + if(mode(Tmp)=="character"){ + if(length(Tmp)==0){ + Tmp<- " " + } + DrwS<- Tmp + } + if(mode(Tmp)=="numeric" && Ncol(Tmp)>1){ + BdyL<- Tmp + } + } + Tmp<- list(DrwS,BdyL) + Out<- c(Out,Tmp) + return(Out) +} + +#################################### + +Initangle<- function (){ + PHI<<- 30*pi/180 + THETA<<- 60*pi/180 +} + +########################## + +Invparapt<- function(...){ + varargin<- list(...) + Eps<- 10^(-4) + Fk<- varargin[[length(varargin)]] + NFk<- Numptcrv(Fk) + Tmp<- varargin[[1]] + if(mode(Tmp)=="numeric" && length(Tmp)==1){ # debug + Ph<- Tmp + Fh<- varargin[[2]] + }else{ + Fh<- Projpara(Fk) + if(NFk>2){ + Tmp1<- Nearestpt(Tmp,Fh) + Ph<- Tmp1[[2]] + }else{ + Ah<- Ptcrv(1,Fh); Bh=Ptcrv(2,Fh) + V1<- Tmp-Ah; V2<- Bh-Ah + Tmp1<- Crossprod(V1,V2) + if(abs(Tmp1)>Eps){ + print("Not on the line") + return(c()) + }else{ + Ph<- Dotprod(V1,V2)/Norm(V2)^2+1 + } + } + } + if(NFk>2){ + N<- trunc(Ph) + S0<- Ph-N + if(Ph>Numptcrv(Fh)-Eps){ + Out<- list(Ptend(Fk),Numptcrv(Fh)) + return(Out) + } + }else{ + N<- 1 + S0<- Ph-1 + } + Ak<- Ptcrv(N,Fk); Bk=Ptcrv(N+1,Fk) + Ah<- Ptcrv(N,Fh); Bh=Ptcrv(N+1,Fh) + Ph<- (1-S0)*Ah+S0*Bh + T2<- S0 + Pk<- (1-T2)*Ak+T2*Bk + Out<- list(Pk,N+T2) + return(Out) +} + +################################# + +#100815 +Invperspt<- function(...){ + varargin<-list(...) + Eps<- 10^(-4) + Fk<- varargin[[length(varargin)]] + NFk<- Numptcrv(Fk) + Tmp<- varargin[[1]] + if(mode(Tmp)=="numeric" && length(Tmp)==1){ + Ph<- varargin[[1]] + Fh<- varargin[[2]] + }else{ + Fh<- Projpers(Fk) + if(NFk>2){ + Tmp1<- Nearestpt(Tmp,Fh) + Ph<- Tmp1[[2]] + }else{ + Ah<- Ptcrv(1,Fh); Bh<- Ptcrv(2,Fh) + V1<- Tmp-Ah; V2<- Bh-Ah + Tmp1<- Crossprod(V1,V2) + if(abs(Tmp1)>Eps){ + print("Not on the line") + Out<- c() + return(Out) + }else{ + Ph<- Dotprod(V1,V2)/Norm(V2)^2+1# 09.11.12 + } + } + } + if(NFk>2){ + N<- trunc(Ph) + S0<- Ph-N + if(Ph>Numptcrv(Fh)-Eps){ + Out<- list(Ptend(Fk),Numptcrv(Fh)) + return(Out) + } + }else{ + N<- 1 + S0<- Ph-1 # 09.11.12 + } + Ak<- Ptcrv(N,Fk); Bk<- Ptcrv(N+1,Fk) + Ah<- Ptcrv(N,Fh); Bh<- Ptcrv(N+1,Fh) + Ph<- (1-S0)*Ah+S0*Bh + Phc<- Cancoordpers(c(Ph,0)) + Ahc<- Cancoordpers(c(Ah,0)) + Bhc<- Cancoordpers(c(Bh,0)) + Vp<- Phc-EyePoint + Va<- Ak-EyePoint + AB<- Bk-Ak + Cp<- Crossprod(Vp,AB) + Nmr<- Crossprod(Va,Vp) + Mx<- max(abs(Cp)) + if(abs(Cp[1])==Mx){ + T2<- Nmr[1]/Cp[1] + }else if(abs(Cp[2])==Mx){ + T2<- Nmr[2]/Cp[2] + }else{ + T2<- Nmr[3]/Cp[3] + } + Pk<- (1-T2)*Ak+T2*Bk + Out<- list(Pk,N+T2) + return(Out) +} + +######################### + +Kukannozoku<- function(Jokyo,KukanL){ + Eps<- 10^(-6) + N<- Nrow(KukanL) + T1<- Jokyo[1]; T2<- Jokyo[2] + Tmp<- KukanL[1,] + T1<- max(T1,Tmp[1]) + Tmp<- KukanL[N,] + T2<- min(T2,Tmp[2]) + Res<- c() + Flg<- 0 + for (I in Looprange(1,N)){ + Ku<- KukanL[I,] + if(Flg==0){ + if(Ku[2]<T1){ + Res<- rbind(Res,Ku) + }else{ + Flg<- 1 + if(Ku[1]<T1-Eps){ + Tmp<- c(Ku[1],T1) + Res<- rbind(Res,Tmp) + } + if(Ku[2]>T2+Eps){ + Tmp<- c(T2,Ku[2]) + Res<- rbind(Res,Tmp) + } + } + }else if(Flg==1){ + if(Ku[2]<T2){ + next + }else{ + Flg<- 2 + if(Ku[1]<T2-Eps){ + Ku<- c(T2,Ku[2]) + } + Res<- rbind(Res,Ku) + } + }else{ + Res<- rbind(Res,Ku) + } + } + return(Res) +} + +######################################## + +Makeskeletondata<- function(Obj2L,Plt2L,R0,Eps2){ + Eps<- 10.0^(-3) + Dmat<- c() + Dind<- c() + for (I in Looprange(1,Mixlength(Plt2L))){ + Dt<- Op(I,Plt2L) + N1<- Nrow(Dmat)+1 + if(Nrow(Dmat)==0){ + Dmat<- Dt + }else{ + Dmat<- rbind(Dmat,Dt) + } + N2<- Nrow(Dmat) + Dind<- c(Dind,N1,N2) + } + Dind<- matrix(Dind,ncol=2,byrow=TRUE) + Nind<- Nrow(Dind) + Allres<- list() + for (Nobj in Looprange(1,Mixlength(Obj2L))){ + Plt2<- Op(Nobj,Obj2L) + PhL<- Plt2[,1:2] + ClipL<- c() + for (Ns in Looprange(1,Nrow(PhL)-1)){ + P1<- PhL[Ns:(Ns+1),] + for (I in Looprange(1,Nrow(Dind))){ + Tmp<- Dmat[Dind[I,1]:Dind[I,2],] + P2<- Tmp[,1:2] + KC<- IntersectcrvsPp(P1,P2,Eps) + if(Mixlength(KC)>0){ + for (J in 1:Mixlength(KC)){ + P<- Op(1,Op(J,KC)) + Tmp<- Op(2,Op(J,KC)) + if(Tmp<1+Eps && Ns==1){ + next + } + if(Tmp>Numptcrv(P1)-Eps && Ns==(Nrow(PhL)-1)){ + next + } + N1<- Ns + N2<- Op(3,Op(J,KC)) + Pa<- Plt2[N1,1:2] + Za<- Plt2[N1,3] + Pb<- Plt2[N1+1,1:2] + Zb<- Plt2[N1+1,3] + if(Norm(Pa-Pb)<Eps){ + next + } + T1<- Norm(Pa-P)/Norm(Pa-Pb) + Z1<- (1-T1)*Za+T1*Zb + Tmp<- Dmat[Dind[I,1]:Dind[I,2],] + Pa<- Tmp[N2,1:2] + Za<- Tmp[N2,3] + Pb<- Tmp[N2+1,1:2] + Zb<- Tmp[N2+1,3] + if((Norm(Pa-Pb)<Eps)){ + next + } + T2<- Norm(Pa-P)/Norm(Pa-Pb) + Z2<- (1-T2)*Za+T2*Zb + if(Z1<Z2-Eps2){ + if(Nrow(ClipL)==0){ + Tmp<- 1 + }else{ + Tmp1<- ClipL[,1]-P[1] + Tmp2<- ClipL[,2]-P[2] + Tmp3<- Tmp1^2+Tmp2^2 + Tmp<- min(Tmp3) + } + if(Tmp>Eps^2){ + Tmp1<- P1[2,]-P1[1,] + Tmp2<- Pb-Pa + Tmp3<- Dotprod(Tmp1,Tmp2) + Tmp3<- Tmp3/Norm(Tmp1)/Norm(Tmp2) + Tmp<- 1-0.5*Tmp3^2 + ClipL<- rbind(ClipL,c(P,N1,T1,R0/Tmp)) + } + } + } + } + } + } + Te<- Nrow(Plt2) + KukanL<- rbind(c(),c(1.0,Te)) + P1<- PhL + if(Nrow(ClipL)>0){ + for (I in 1:Nrow(ClipL)){ + P<- ClipL[I,1:2] + NN<- ClipL[I,3] + T<- NN+ClipL[I,4] + R<- ClipL[I,5] + Flg<- 0 + for (J in NN:1){ + Q<- Pointoncurve(J,P1) + if(Norm(P-Q)<R){ + next + } + Flg<- 1 + break + } + if(Flg==0){ + T1<- 1 + }else{ + T1<- J; T2<- T + H<- T2-T1 + for (N in 1:10){ + H<- H*0.5 + Q<- Pointoncurve(T1+H,P1) + if(Norm(P-Q)<R){ + T2<- T2-H + }else{ + T1<- T1+H + } + } + } + Ku<- c(T1) + Flg<- 0 + for (J in Looprange(NN+1,Te)){ + Q<- Pointoncurve(J,P1) + if(Norm(P-Q)<R){ + next + } + Flg<- 1 + break + } + if(Flg==0){ + T2<- Te + }else{ + T1<- T; T2<- J + H<- T2-T1 + for (N in 1:10){ + H<- H*0.5 + Q<- Pointoncurve(T1+H,P1) + if(Norm(P-Q)<R){ + T1<- T1+H + }else{ + T2<- T2-H + } + } + } + Ku<- c(Ku,T2) + KukanL<- Kukannozoku(Ku,KukanL) + } + } + Res<- list() + for (I in Looprange(1,Nrow(KukanL))){ + T1<- KukanL[I,1]; N1<- trunc(T1) + T2<- KukanL[I,2]; N2<- trunc(T2) + PtL<- list() + if(T1-N1<1-Eps){ + Tmp<- Pointoncurve(T1,P1) + PtL<- list(Tmp) + } + for (J in Looprange(N1+1,N2)){ + Tmp<- Pointoncurve(J,P1) + PtL<- c(PtL,list(Tmp)) + } + if(T2-N2>Eps){ + Tmp<- Pointoncurve(T2,P1) + PtL<- c(PtL,list(Tmp)) + } + Res<- c(Res,list(Listplot(PtL))) + } + Allres<- c(Allres,Res) + } + return(Allres) +} + +######################### + +#100815 +Makeskeletonpersdata<- function(Obj2L,Plt2L,R0,Eps2){ + Eps<- 10.0^(-3) + Dmat<- c() + Dind<- c() + for (I in Looprange(1,Mixlength(Plt2L))){ + Dt<- Op(I,Plt2L) + N1<- Nrow(Dmat)+1 + Dmat<- rbind(Dmat,Dt) + N2<- Nrow(Dmat) + Dind<- rbind(Dind,c(N1,N2)) + } + Nind<- Nrow(Dind) + Allres<- list() + for (Nobj in Looprange(1,Mixlength(Obj2L))){ + Plt2<- Op(Nobj,Obj2L) + PhL<- Plt2[,1:2] + ClipL<- c() + for (Ns in Looprange(1,Nrow(PhL)-1)){ + P1<- PhL[Ns:(Ns+1),] + for (I in Looprange(1,Nrow(Dind))){ + Tmp<- Dmat[Dind[I,1]:Dind[I,2],] + P2<- Tmp[,1:2] + KC<- IntersectcrvsPp(P1,P2,Eps) + if(Mixlength(KC)>0){ + for (J in Looprange(1,Mixlength(KC))){# + P<- Op(1,Op(J,KC)) + Tmp<- Op(2,Op(J,KC)) + if(Tmp<(1+Eps) && Ns==1){ + next + } + if(Tmp>Numptcrv(P1)-Eps && Ns==(Nrow(PhL)-1)){ + next + } + N1<- Ns + N2<- Op(3,Op(J,KC)) + Pa<- Plt2[N1,1:2] + Za<- Plt2[N1,3] + Pb<- Plt2[N1+1,1:2] + Zb<- Plt2[N1+1,3] + if(Norm(Pa-Pb)<Eps){ + next + } + T1<- Norm(Pa-P)/Norm(Pa-Pb)#norm(Pa-P)/norm(Pa-Pb) + Pka<- Cancoordpers(c(Pa[1],Pa[2],Za)) + Pkb<- Cancoordpers(c(Pb[1],Pb[2],Zb)) + if(T1>1-Eps){ + Pk<- Pkb + }else{ + Tmp1<- Listplot(c(Pa,Pb)) + Tmp2<- Spaceline(c(Pka,Pkb)) + Tmp<- Invperspt(1+T1,Tmp1,Tmp2) + Pk<- Op(1,Tmp) + } + Z1<- Zperspt(Pk) + Tmp<- Dmat[Dind[I,1]:Dind[I,2],] + Pa<- Tmp[N2,1:2] + Za<- Tmp[N2,3] + Pb<- Tmp[N2+1,1:2] + Zb<- Tmp[N2+1,3] + if(Norm(Pa-Pb)<Eps){ + next + } + T2<- Norm(Pa-P)/Norm(Pa-Pb) + Pka<- Cancoordpers(c(Pa[1],Pa[2],Za)) + Pkb<- Cancoordpers(c(Pb[1],Pb[2],Zb)) + if(T2>(1-Eps)){ + Pk<- Pkb + }else{ + Tmp1<- Listplot(c(Pa,Pb)) + Tmp2<- Spaceline(c(Pka,Pkb)) + Tmp<- Invperspt(1+T2,Tmp1,Tmp2) + Pk<- Op(1,Tmp) + } + Z2<- Zperspt(Pk) + if(Z1<(Z2-Eps2)){ + if(length(ClipL)==0){ + Tmp<- 1 + }else{ + Tmp1<- ClipL[,1]-P[1] + Tmp2<- ClipL[,2]-P[2] + Tmp3<- Tmp1^2+Tmp2^2 + Tmp<- min(Tmp3) + } + if(Tmp>Eps^2){ + Tmp1<- P1[2,]-P1[1,] + Tmp2<- Pb-Pa + Tmp3<- Dotprod(Tmp1,Tmp2) + Tmp3<- Tmp3/Norm(Tmp1)/Norm(Tmp2) + Tmp<- 1-0.5*Tmp3^2 + ClipL<- rbind(ClipL,c(P,N1,T1,R0/Tmp)) + } + } + } + } + } + } + Te<- Nrow(Plt2) + KukanL<- rbind(c(),c(1.0,Te)) + P1<- PhL + if(Nrow(ClipL)>0){ + for (I in Looprange(1,Nrow(ClipL))){ + P<- ClipL[I,1:2] + NN<- ClipL[I,3] + T<- NN+ClipL[I,4] + R<- ClipL[I,5] #added 10.08.17 + Flg<- 0 + for (J in NN:1){ + Q<- Pointoncurve(J,P1) + if(Norm(P-Q)<R){#(norm(P-Q)<R) + next + } + Flg<- 1 + break + } + if(Flg==0){ + T1<- 1 + }else{ + T1<- J; T2<- T + H<- T2-T1 + for (N in 1:10){ + H<- H*0.5 + Q<- Pointoncurve(T1+H,P1) + if(Norm(P-Q)<R){ # norm(P-Q)<R + T2<- T2-H + }else{ + T1<- T1+H + } + } + } + Ku<- c(T1)#Ku<- [T1] + Flg<- 0 + for (J in Looprange(NN+1,Te)){ + Q<- Pointoncurve(J,P1) + if(Norm(P-Q)<R){ + next#continue + } + Flg<- 1 + break + } + if(Flg==0){ + T2<- Te + }else{ + T1<- T; T2<- J + H<- T2-T1 + for (N in 1:10){ + H<- H*0.5 + Q<- Pointoncurve(T1+H,P1) + if(Norm(P-Q)<R){ + T1<- T1+H + }else{ + T2<- T2-H + } + } + } + Ku<- c(Ku,T2)#[Ku,T2] + KukanL<- Kukannozoku(Ku,KukanL) + } + } + Res<- list()#[] + for (I in Looprange(1,Nrow(KukanL))){#(I=1:size(KukanL,1)) + T1<- KukanL[I,1]; N1<- trunc(T1) + T2<- KukanL[I,2]; N2<- trunc(T2) + PtL<- list()#[] + if(T1-N1<1-Eps){ + Tmp<- Pointoncurve(T1,P1) + PtL<- list(Tmp)#100816c(PtL,list(Tmp)) PtL<- MixS(Tmp) + } + for (J in Looprange(N1+1,N2)){ + Tmp<- Pointoncurve(J,P1) + PtL<- c(PtL,list(Tmp))#Mixadd(PtL,Tmp) + } + if(T2-N2>Eps){ + Tmp<- Pointoncurve(T2,P1) + PtL<- c(PtL,list(Tmp))#Mixadd(PtL,Tmp) + } + Res<- c(Res,list(Listplot(PtL)))#Res<- Mixadd(Res,Listplot(PtL)) + } + Allres<- c(Allres,Res)#Allres<- Mixjoin(Allres,Res) + } + return(Allres) +} + +##############################3 + +MakeveLfaceL<- function(VfL){ +# // Out format +# // VeL Edge, Face num(as numlist), VeL num +# // FL Face (Vertexs) + Eps<- 10^(-4) + Tmp<- VfL[[length(VfL)]] + Tmp1<- Tmp[[1]] + if(mode(Tmp1)=="numeric"){ + FvL<- list(VfL) + }else{ + FvL<- VfL + } + EL<- list(); FL<- list() + for (Nn in Looprange(1,length(FvL))){ + Tmp<- FvL[[Nn]] + VL<- Tmp[[1]] + if(length(VL)>0){ + FnL<- Tmp[[2]] + FaceL<- list() + for (I in Looprange(1,length(FnL))){ + Tmp1<- FnL[[I]] + PtL<- list() + for (J in Looprange(1,length(Tmp1))){ + Tmp2<- Tmp1[[J]] + PtL[[J]]<- VL[[Tmp2]] + } + FaceL[[I]]<- PtL + } + }else{ + FaceL<- list(Tmp[[2]]) + } + for (I in Looprange(1,length(FaceL))){ + Face<- FaceL[[I]] + Face<- c(Face,list(Face[[1]])) + FL<- c(FL,list(Face)) + for (J in Looprange(1,length(Face)-1)){ + Edge<- list(Face[[J]],Face[[J+1]]) + Flg<- 0 + for (K in Looprange(1,length(EL))){ + Tmp<- EL[[K]] + Tmp1<- Tmp[[1]] + Tmp2<- Norm(Edge[[1]]-Tmp1[[1]])+Norm(Edge[[2]]-Tmp1[[2]]) + Tmp3<- Norm(Edge[[1]]-Tmp1[[2]])+Norm(Edge[[2]]-Tmp1[[1]]) + if(Tmp2<Eps || Tmp3<Eps){#( + Tmp<- EL[[K]] + Tmp1<- Tmp[[1]] + Tmp2<- c(Tmp[[2]],length(FL)) + EL[[K]]<- list(Tmp1,Tmp2,K) + Flg<- 1 + break + } + } + if(Flg==0){ + Ntmp<- length(EL) + EL[[Ntmp+1]]<- list(Edge,c(length(FL)),Ntmp+1) + } + } + } + } + Out<- list(EL,FL) + return(Out) +} + +########################### +#// 09.10.29 +#// 09.11.15 + +Menkakusi2<- function(Face,Nf,Ptype){ +# global THETA PHI EyePoint FocusPoint VELNO VELHI + Eps0<- 10^(-6) + Eps<- 10^(-4) + Tmp1<- Face[[1]]-Face[[2]] + Tmp2<- Face[[3]]-Face[[2]] + if(Norm(Tmp1)<Eps || Norm(Tmp2)<Eps){ + return() + } + Vec<- 1/Norm(Tmp1)/Norm(Tmp2)*Crossprod(Tmp1,Tmp2) + if(Norm(Vec)<Eps){ + return() + } + if(Ptype== -1){ + W<- EyePoint + Tmp<- Dotprod(Vec,W-Face[[1]]) + }else{ + W<- c(sin(THETA)*cos(PHI),sin(THETA)*sin(PHI),cos(THETA)) + W<- 100*W + Tmp<- Dotprod(Vec,W-Face[[1]]) + } + if(abs(Tmp)<Eps){ + return() + } + if(Tmp<-Eps){ + Vec<- -Vec + } + if(Ptype==-1){ + G1<- Projpers(Spaceline(Face)) + }else{ + G1<- Projpara(Spaceline(Face)) + } + VL<- list() + for (I in Looprange(1,Numptcrv(G1))){ + VL[[I]]<- Ptcrv(I,G1) + } + Out1L<- list() + Out2L<- VELHI + for (N in Looprange(1,length(VELNO))){ + Out1<- list() + Out2<- list() + Tmp<- VELNO[[N]] + Edge<- Tmp[[1]] + Ne<- Tmp[[2]] + NNe<- Tmp[[3]] + if(Member(Nf,Ne)){ + Out1L<- c(Out1L, list(list(Edge,Ne,NNe))) + next + } + if(Ptype==-1){ + PtA<- Perspt(Edge[[1]]) + PtB<- Perspt(Edge[[2]]) + }else{ + PtA<- Parapt(Edge[[1]]) + PtB<- Parapt(Edge[[2]]) + } + if(Norm(PtA-PtB)<Eps){ + next + } + Bdy<- list(G1) + V<- PtB-PtA + TenL<- KoutenList(PtA,V,Bdy) + Nten<- length(TenL) + if(Nten==0){ # debug 10.08.17 + Out1L<- c(Out1L,list(list(Edge,Ne,NNe))) + next + } + Te<- 0 + Pe3<- Edge[[1]] + if(Ptype==-1){ + Tmp1<- Perspt(Pe3) + Tmp<- Invperspt(Tmp1,Spaceline(Face)) + }else{ + Tmp1<- Parapt(Pe3) + Tmp<- Invparapt(Tmp1,Spaceline(Face)) + } + Qe3<- Tmp[[1]] + Flg<- 0 + for (I in Looprange(1,Nten)){ + TenP<- TenL[[I]] + Ts<- TenP[[1]] + P<- TenP[[2]] + if(Ts< -Eps){ + next + } + Eline<- Spaceline(Edge) + if(Ptype==-1){ + Tmp<- Invperspt(P,Eline) + Tmp1<- Invperspt(P,Spaceline(Face)) + }else{ + Tmp<- Invparapt(P,Eline) + Tmp1<- Invparapt(P,Spaceline(Face)) + } + P3<- Tmp[[1]]; Q3<- Tmp1[[1]] + if(Ts>1-Eps){# // P3, Q3 are necessary + Flg<- I + break + } + if(abs(Te-Ts)>Eps0){ + if((I%%2)==1){ + Out1<- c(Out1,list(list(Pe3,P3))) + }else{ + if(length(Qe3)==0){ + Tmp<- Op(2,TenL[[I-1]]) + if(Ptype==-1){ + Tmp1<- Invperspt(Tmp,Spaceline(Face)) + }else{ + Tmp1<- Invparapt(Tmp,Spaceline(Face)) + } + Qe3<- Tmp1[[1]] + } + PM<- 0.5*(Pe3+P3); QM<- 0.5*(Qe3+Q3) + if(Ptype==-1){ + Z1<- Zperspt(PM); Z2<- Zperspt(QM) + }else{ + Z1<- Zparapt(PM); Z2<- Zparapt(QM) + } + if(Z1>Z2){ + Out1<- c(Out1, list(list(Pe3,P3))) + }else{ + Out2<- c(Out2, list(list(Pe3,P3))) + }## + } + } + Te<- Ts; Pe3<- P3; Qe3<- Q3 + } + if(Flg==0){ + if(Norm(Pe3-Edge[[2]])>Eps0){ + Out1<- c(Out1, list(list(Pe3,Edge[[2]]))) + } + }else{ + if((Flg%%2)==1){ + Out1<- c(Out1, list(list(Pe3,Edge[[2]]))) + }else{ + PM<- 0.5*(Pe3+P3); QM<- 0.5*(Qe3+Q3) + if(Ptype==-1){ + Z1<- Zperspt(PM); Z2<- Zperspt(QM) + }else{ + Z1<- Zparapt(PM); Z2<- Zparapt(QM) + } + if(Z1>Z2){ + Out1<- c(Out1, list(list(Pe3,Edge[[2]]))) + }else{ + Out2<- c(Out2, list(list(Pe3,Edge[[2]]))) + } + } + } + for (I in Looprange(1,length(Out1))){ + Tmp<- Out1[[I]] + if(I==1){ + SeL<- Tmp + }else{ + if(Norm(SeL[[2]]-Tmp[[1]])<Eps0){ + SeL[[2]]<- Tmp[[2]] + }else{ + Out1L<- c(Out1L, list(list(SeL,Ne,NNe))) + SeL<- Tmp + } + } + } + if(length(Out1)>0){ + Out1L<- c(Out1L, list(list(SeL,Ne,NNe))) + } + for (I in Looprange(1,length(Out2))){ + Tmp<- Out2[[I]] + if(I==1){ + SeL<- Tmp + }else{ + if(Norm(SeL[[2]]-Tmp[[1]])<Eps0){ + SeL[[2]]<- Tmp[[2]] + }else{ + Out2L<- c(Out2L, list(list(SeL,Ne,NNe))) + SeL<- Tmp + } + } + } + if(length(Out2)>0){ + Out2L<- c(Out2L, list(list(SeL,Ne,NNe))) + } + } + VELNO<<- Out1L + VELHI<<- Out2L +} + +################################### + +Parapt<- function(Plist){ # 18.02.19 changed (for point list) + if(!is.list(Plist)){Plist=list(Plist)} + Out=list() + for(jj in 1:length(Plist)){ + P=Op(jj,Plist) + x<- P[1] + y<- P[2] + z<- P[3] + Xz<- -x*sin(PHI)+y*cos(PHI) + Yz<- -x*cos(PHI)*cos(THETA)-y*sin(PHI)*cos(THETA)+z*sin(THETA) + Out<- c(Out,list(c(Xz,Yz))) + } + if(length(Out)==1){Out=Op(1,Out)} + return(Out) +} + +################################### + +Partcrv3<- function(T1,T2,Fk){ + Eps0=10^(-4) +#// Tmp=Mixop(1,Fk) +#// new part from + if(T1>(T2+Eps0)){ + Npt<- Nrow(Fk) + Out1<- Partcrv3(T1,Npt,Fk) + Out2<- Partcrv3(1,T2,Fk) + Tmp<- Fk[1,]-Fk[Npt,] + if(Norm(Tmp)<Eps0){ + PL<- Joincrvs(Out1,Out2) + }else{ + PL<- list(Out1,Out2) + } + rownames(PL)<- 1:Nrow(PL) + return(PL) + } + if(floor(T1)==floor(T2)){ #18.02.26from + Tmp=floor(T1) + p1=Op(Tmp,Fk); p2=Op(Tmp+1,Fk) + PL=c(p1+(T1-Tmp)*(p2-p1)) + PL=Appendrow(PL, p1+(T2-Tmp)*(p2-p1)) #18.02.26until + }else{ + Is<- ceiling(T1) + Ie<- floor(T2) + PL<- c() + if(T1<Is-Eps0){ + P<- (Is-T1)*Fk[Is-1,]+(1-Is+T1)*Fk[Is,] + PL<- Appendrow(PL, P) #18.02.10(bug) + } + PL<- Appendrow(PL,Fk[Is:Ie,]) + if(T2>(Ie+Eps0)){ + P<- (1-T2+Ie)*Fk[Ie,]+(T2-Ie)*Fk[Ie+1,] + PL<- Appendrow(PL,P) + } + } + return(PL) +} + +################################### + +#100815 +Perspt<- function(P){ + Tmp<- P-FocusPoint + X1<- Tmp[1]; Y1<- Tmp[2]; Z1<- Tmp[3] + Tmp<- EyePoint-FocusPoint + E1<- Tmp[1];F1<- Tmp[2];G1<- Tmp[3] + Ca<- E1/sqrt(E1^2+F1^2) + Sa<- F1/sqrt(E1^2+F1^2) + X2<- X1*Ca+Y1*Sa; Y2<- -X1*Sa+Y1*Ca; Z2<- Z1 + E2<- E1*Ca+F1*Sa; F2<- -E1*Sa+F1*Ca; G2<- G1 + Cb<- E2/sqrt(E2^2+G2^2) + Sb<- G2/sqrt(E2^2+G2^2) + X3<- X2*Cb+Z2*Sb; Y3<- Y2; Z3<- -X2*Sb+Z2*Cb + E3<- E2*Cb+G2*Sb; F3<- F2; G3<- -E2*Sb+G2*Cb + Yz<- E3/(E3-X3)*Y3 + Zz<- E3/(E3-X3)*Z3 + Out<- c(Yz,Zz) + return(Out) +} + + +################################# + +Phcutdata<- function(VL,FaceL,PlaneD){ + Out<- list() + EL<- list() + Eps<- 10^(-4) + for (I in Looprange(1,Mixlength(FaceL))){ + Face<- Op(I,FaceL) + for (J in Looprange(1,length(Face))){ + Nj<- J+1 + if(J==length(Face)){ + Nj<- 1 + } + N1<- Face[J]; N2<- Face[Nj] + Tmp<- c(N1,N2) + Flg<- 0 + for (K in Looprange(1,Mixlength(EL))){ + Tmp1<- Op(K,EL) + Tmp2<- Tmp1[2:1] + if(all(Tmp==Tmp1) || all(Tmp==Tmp2)){ + Flg<- 1 + break + } + } + if(Flg==0){ + EL<- c(EL,list(Tmp)) + } + } + } + Out0<- list() + for (I in Looprange(1,Mixlength(EL))){ + Tmp<- Op(I,EL) + Tmp1<- Op(Tmp[1],VL) + Tmp2<- Op(Tmp[2],VL) + Out0<- c(Out0, list(Spaceline(Tmp1,Tmp2))) + } + if(Mixtype(PlaneD)!=1){ + V1<- Op(1,PlaneD) + Tmp<- Op(2,PlaneD) + if(length(Tmp)>1){ + d<- V1[1]*Tmp[1]+V1[2]*Tmp[2]+V1[3]*Tmp[3] + }else{ + d<- Tmp + } + }else if(mode(PlaneD)=="numeric"){ + V1<- PlaneD[1:3] + d<- PlaneD[4] + }else{ + StrV<- strsplit(PlaneD,"=",fixed=TRUE) + StrV<- StrV[[1]] + if(length(StrV)>1){ + Tmp1<- StrV[1] + Tmp2<- StrV[2] + PlaneD<- paste(Tmp1,"-(",Tmp2,")",sep="") + } + x<- 0; y<- 0; z<- 0 + d<- -eval(parse(text=PlaneD)) + x<- 1; y<- 0; z<- 0; + Tmp1<- eval(parse(text=PlaneD))+d + x<- 0; y<- 1; z<- 0 + Tmp2<- eval(parse(text=PlaneD))+d + x<- 0; y<- 0; z<- 1 + Tmp3<- eval(parse(text=PlaneD))+d + V1<- c(Tmp1,Tmp2,Tmp3) + } + if(all(V1==c(0,0,0))){ + return(Out0) + } + V3<- c(1,0,0) + Out1<- Rotate3data(Out0,V1,V3) + Tmp2<- Rotate3pt(c(1,0,0),V3,V1) + Tmp<- V1[1]*Tmp2[1]+V1[2]*Tmp2[2]+V1[3]*Tmp2[3] + x0<- d/Tmp + PtL<- list() + for (I in Looprange(1,Mixlength(Out1))){ + Tmp<- Op(I,Out1) + Tmp1<- Tmp[1,]; Tmp2<- Tmp[2,] + P<- list(Tmp1,Tmp2-Tmp1) + Tmp<- list(Tmp1[1],Tmp2[1]-Tmp1[1]) + if(abs(Tmp[[2]]) < Eps){ + Tmp<- c() + }else{ + Tmp1<- Tmp[[2]] + Tmp2<- x0-Tmp[[1]] + Tmp<- c(Tmp2/Tmp1) + } + if(length(Tmp)>0){ + Tmp<- Tmp[1] + if(Tmp>-Eps && Tmp<(1+Eps)){ + Tmp3<- P[[1]]+Tmp*P[[2]] + Tmp3<- Rotate3pt(Tmp3,V3,V1) + if(Tmp<Eps){ + Tmp1<- Op(I,EL) + Tmp1<- Tmp1[1] + Tmp4<- list(c(Tmp1,Tmp1),Tmp3) + }else{ + if(Tmp>1-Eps){ + Tmp1<- Op(I,EL) + Tmp1<- Tmp1[2] + Tmp4<- list(c(Tmp1,Tmp1),Tmp3) + }else{ + Tmp4<- list(Op(I,EL),Tmp3) + } + } + Flg<- 0 + for (J in Looprange(1,Mixlength(PtL))){ + Tmp<- Op(J,PtL) + Tmp<- Op(2,Tmp) + if(Norm(Tmp3-Tmp)<Eps){ + Flg<- 1 + break + } + } + if(Flg==0){ + PtL<- c(PtL,list(Tmp4)) + } + } + } + } + if(Mixlength(PtL)==0){ + return(Out0) + } + PL<- list(Op(1,PtL)) + QL<- PtL[2:Mixlength(PtL)] + N<- Mixlength(QL) + for (I in Looprange(2,N+1)){ + Tmp1<- Op(Mixlength(PL),PL) + Tmp1<- Op(1,Tmp1) + for (J in Looprange(1,Mixlength(QL))){ + Tmp2<- Op(J,QL) + Tmp2<- Op(1,Tmp2) + Flg<- 0 + for (K in Looprange(1,Mixlength(FaceL))){ + Tmp3<- Op(K,FaceL); + if(Member(Tmp1[1],Tmp3) && + Member(Tmp1[2],Tmp3) && + Member(Tmp2[1],Tmp3) && + Member(Tmp2[2],Tmp3)){ + Flg<- 1 + break + } + } + if(Flg==1){ + break + } + } + J<- min(J, Mixlength(QL)) + PL<- c(PL,list(Op(J,QL))) + Tmp1<- QL[Looprange(1,J-1)] + Tmp2<- QL[Looprange(J+1,Mixlength(QL))] + QL<- c(Tmp1,Tmp2) + if(Mixlength(QL)==0){ + break + } + } + PHCUTPOINTL<<- PL + Tmp<- list() + for (J in Looprange(1,Mixlength(PL))){ + Tmp1<- Op(J,PL) + Tmp1<- Op(2,Tmp1) + Tmp<- c(Tmp,list(Tmp1)) + } + Tmp1<- Op(1,PL) + Tmp1<- Op(2,Tmp1) + Tmp<- c(Tmp,list(Tmp1)) + Out2<- Spaceline(Tmp) + Out<- c(Out0,list(Out2)) +} + +######################################### + +Phcutoffdata<- function(...){ + varargin<-list(...) + Eps<- 10^(-4) + Out2<- list() + VL<- varargin[[1]] + FaceL<- varargin[[2]] + PlaneD<- varargin[[3]] + Sgnstr<- varargin[[4]] + Fugou<- 1 + if(Sgnstr=="-" || Sgnstr=="n"){ + Fugou<- -1 + } + Out0<- Phcutdata(VL,FaceL,PlaneD) + PtL<- PHCUTPOINTL + PHVERTEXL<<- VL + PHFACEL<<- FaceL + if(length(PtL)==0){ + Out2<- Out0 + return(Out2) + } + N1<- Mixlength(VL) + Face<- c() + for (I in Looprange(1,Mixlength(PtL))){ + Tmp<- Op(I,PtL) + Tmp3<- Op(1,Tmp) + Tmp1<- Tmp3[[1]]; Tmp2<- Tmp3[[2]] # debugged 10.08.14 + if(Tmp1!=Tmp2){ + VL<- c(VL,list(Op(2,Tmp))) + N1<- N1+1 + Tmp1<- N1 + } + Face<- c(Face,Tmp1) + PtL[[I]]<- list(Op(1,Tmp),Tmp1) + } + OutfL<- list(Face) + if(Mixtype(PlaneD)!=1){ + V1<- Op(1,PlaneD) + Tmp<- Op(2,PlaneD) + if(length(Tmp)>1){ + d<- V1[1]*Tmp[1]+V1[2]*Tmp[2]+V1[3]*Tmp[3] + }else{ + d<- Tmp + } + }else if(mode(PlaneD)=="numeric"){ + V1<- PlaneD[1:3] + d<- PlaneD[4] + }else{ + StrV<- strsplit(PlaneD,"=",fixed=TRUE) + StrV<- StrV[[1]] + if(length(StrV)>1){ + Tmp1<- StrV[1] + Tmp2<- StrV[2] + PlaneD<- paste(Tmp1,"-(",Tmp2,")",sep="") + } + x<- 0; y<- 0; z<- 0 + d<- -eval(parse(text=PlaneD)) + x<- 1; y<- 0; z<- 0 + Tmp1<- eval(parse(text=PlaneD))+d + x<- 0; y<- 1; z<- 0 + Tmp2<- eval(parse(text=PlaneD))+d + x<- 0; y<- 0; z<- 1 + Tmp3<- eval(parse(text=PlaneD))+d + V1<- c(Tmp1,Tmp2,Tmp3) + } + for (I in Looprange(1,Mixlength(FaceL))){ + Face<- Op(I,FaceL) + TmpL<- list() + for (J in Looprange(1,length(Face))){ + N1<- Face[J] + if(J==length(Face)){ + N2<- Face[1] + }else{ + N2<- Face[J+1] + } + for (K in Looprange(1,Mixlength(PtL))){ + Pd<- Op(K,PtL) + Tmp<- Op(1,Pd) + if(Tmp[1]==Tmp[2]){ + if(Tmp[1]==N1){ + TmpL<- c(TmpL,list(list(J,c(N1,N2),Op(2,Pd)))) + } + }else{ + if(all(Tmp==c(N1,N2)) || all(Tmp==c(N2,N1))){ + TmpL<- c(TmpL,list(list(J,c(N1,N2),Op(2,Pd)))) + } + } + } + } + if(Mixlength(TmpL)<2){ + Flg<- 0 + for (J in Looprange(1,length(Face))){ + Tmp<- Op(Face[J],VL) + Tmp1<- Fugou*(Dotprod(V1,Tmp)-d) + if(Tmp1< -Eps){ + Flg<- 1 + break + } + } + if(Flg==0){ + OutfL<- c(OutfL,list(Face)) + } + next + } + Pd<- Op(1,TmpL) + Qd<- Op(2,TmpL) + Outf1<- c(Op(3,Pd)) + Nf<- Op(1,Pd)+1 + Tmp<- Op(2,Pd) + JJ<- 0 + while (!all(Tmp==Op(2,Qd))){ + JJ<- JJ+1 + if(JJ>20){ + print("bug") + return() + } + Tmp1<- Tmp[2] + if(Outf1[length(Outf1)]!=Tmp1){ + Outf1<- c(Outf1,Tmp1) + } + Tmp<- c(Face[Nf]) + Nf<- Nf+1 + if(Nf>length(Face)){ + Nf<- 1 + } + Tmp<- c(Tmp,Face[Nf]) + } + Tmp1<- Op(3,Qd) + if(Outf1[length(Outf1)]!=Tmp1){ + Outf1<- c(Outf1,Tmp1) + } + Outf2<- c(Op(3,Pd)) + Nf<- Op(1,Pd) + Tmp<- Op(2,Pd) + JJ<- 0 + while (!all(Tmp==Op(2,Qd))){ + JJ<- JJ+1 + if(JJ>20){ + print("bug") + return() + } + Tmp1<- Tmp[1] + if(Outf2[length(Outf2)]!=Tmp1){ + Outf2<- c(Outf2,Tmp1) + } + Tmp<- c(Face[Nf]) + Nf<- Nf-1 + if(Nf<1){ + Nf<- length(Face) + } + Tmp<- c(Face[Nf],Tmp) + } + Tmp1<- Op(3,Qd) + if(Outf2[length(Outf2)]!=Tmp1){ + Outf2<- c(Outf2,Tmp1) + } + if(length(Outf1)<3 || length(Outf2)<3){ + Face<- Outf1 + if(length(Outf1)<length(Outf2)){ + Face<- Outf2 + } + Flg<- 0 + for (J in Looprange(1,length(Face))){ + Tmp<- Op(Face(J),VL) + Tmp1<- Fugou*(Dotprod(V1,Tmp)-d) + if(Tmp1<-Eps){ + Flg<- 1 + break + } + } + if(Flg==0){ + OutfL<- c(OutfL,list(Face)) + } + }else{ + Tmp<- Op(Outf1[2],VL) + Tmp1<- Outf1 + Tmp2<- Fugou*(Dotprod(V1,Tmp)-d) + if(Tmp2<0){ + Tmp1<- Outf2 + } + OutfL<- c(OutfL,list(Tmp1)) + } + } + PHVERTEXL<<- VL + PHFACEL<<- OutfL + Out2<- Phcutdata(VL,OutfL,c(0,0,0,0)) + return(Out2) +} + +####################### + +Phparadata<- function(VL,FaceL){ + Out<- Facesdata(list(VL,FaceL),"para") + return(Out) +} + +#################################### + +Phpersdata<- function(VL,FaceL){ + Out<- Facesdata(list(VL,FaceL),"pers") + return(Out) +} + +#################################### + +Phspersdata<- function(Fdata){ + Out<- Facesdata(Fdata,"pers") + return(Out) +} + +#################################### + +Phsparadata<- function(Fdata){ + Out<- Facesdata(Fdata,"para") + return(Out) +} + +######################### + +#100816 +Projpers<- function(...){ + varargin<- list(...) + Nargs<- length(varargin) + Flg<- 0 + if(Nargs==1 && Mixtype(varargin[[1]])==1){ + Flg<- 1 + } + CL<- list() + for (N in Looprange(1,Nargs)){ + Crv<- varargin[[N]] + if(Mixtype(Crv)==1){ + Tmp<- CameraCurve(Crv) + CL<- c(CL,list(Tmp)) + }else{ + if(Mixtype(Crv)==3){ + ObjL<- list() + for (I in Looprange(1,Mixlength(Crv))){ + Tmp1<- Op(I,Crv) + if(Mixtype(Tmp1)==1){ + ObjL<- c(ObjL,list(Tmp1)) + }else{ + ObjL<- c(ObjL,Tmp1) + } + } + Crv<- ObjL + } + for (J in Looprange(1,Mixlength(Crv))){ + Tmp<- CameraCurve(Op(J,Crv)) + CL<- c(CL,list(Tmp)) + } + } + } + if(Mixlength(CL)==1 && Flg==1){ + CL<- Op(1,CL) + } + return(CL) +} + +################################### + +ProjcoordCurve<- function(Curve){ + SP<- sin(PHI); CP<- cos(PHI) + ST<- sin(THETA); CT<- cos(THETA) + Out<- c() + for (J in Looprange(1,Nrow(Curve))){ + P<- Ptcrv(J,Curve) + x<- P[1]; y<- P[2]; z<- P[3] + Xz<- -x*SP+y*CP + Yz<- -x*CP*CT-y*SP*CT+z*ST + Zz<- x*CP*ST+y*SP*ST+z*CT + Out<- c(Out,Xz,Yz,Zz) + } + Out<- matrix(Out,ncol=3,byrow=TRUE) + return(Out) +} + +################################# + +ProjCurve<- function(Curve){ # 2018.02.26 rewritten + AnsL= c() + SP=sin(PHI); CP=cos(PHI) + ST=sin(THETA); CT=cos(THETA) + for(I in Looprange(1,Length(Curve)) ){ + P=Op(I,Curve) + x=P[1]; y=P[2]; z=P[3] + if(x!=Inf){ + Xz=-x*SP+y*CP + Yz= -x*CP*CT-y*SP*CT+z*ST + AnsL=Appendrow(AnsL,c(Xz,Yz)) + Tmp= c(Xz,Yz) + }else{ + AnsL=Appendrow(AnsL,c(Inf,Inf)) + } + } + return(AnsL) +} + +#################################### + +Projpara<- function(...){ + varargin<-list(...) + Nargs<- length(varargin) + Flg<- 0 + if((Nargs==1)&&(is.numeric(varargin[[1]]))){ + Flg<- 1 + } + CL<- list() + for (N in Looprange(1,Nargs)){ + Crv<- varargin[[N]] + if(is.numeric(Crv)){ + Tmp<- ProjCurve(Crv) + CL<- c(CL,list(Tmp)) + } + else{ + if(is.list(Crv)){ + ObjL<- list() + for (I in Looprange(1,Mixlength(Crv))){ + Tmp1<- Op(I,Crv) + if(is.numeric(Tmp1)){ + ObjL<- c(ObjL,list(Tmp1)) + } + else{ + ObjL<- c(ObjL,Tmp1) + } + } + Crv<- ObjL + } + for (J in Looprange(1,length(Crv))){ + Tmp<- ProjCurve(Op(J,Crv)) + CL<- c(CL,list(Tmp)) + } + } + } + if((length(CL)==1)&&(Flg==1)){ + CL<- Op(1,CL) + } + return(CL) +} + +######################### + +#100816 +Projpers<- function(...){ + varargin<- list(...) + Nargs<- length(varargin) + Flg<- 0 + if(Nargs==1 && Mixtype(varargin[[1]])==1){ + Flg<- 1 + } + CL<- list() + for (N in Looprange(1,Nargs)){ + Crv<- varargin[[N]] + if(Mixtype(Crv)==1){ + Tmp<- CameraCurve(Crv) + CL<- c(CL,list(Tmp)) + }else{ + if(Mixtype(Crv)==3){ + ObjL<- list() + for (I in Looprange(1,Mixlength(Crv))){ + Tmp1<- Op(I,Crv) + if(Mixtype(Tmp1)==1){ + ObjL<- c(ObjL,list(Tmp1)) + }else{ + ObjL<- c(ObjL,Tmp1) + } + } + Crv<- ObjL + } + for (J in Looprange(1,Mixlength(Crv))){ + Tmp<- CameraCurve(Op(J,Crv)) + CL<- c(CL,list(Tmp)) + } + } + } + if(Mixlength(CL)==1 && Flg==1){ + CL<- Op(1,CL) + } + return(CL) +} + +######################################### +# 11.08.27 +# 14.03.23 Debugged "center" + +Rotate3data<- function(...){ +#Eps=10^(-4) + varargin<-list(...) + Nargs<- length(varargin) + Pd3<- varargin[[1]] + W1<- varargin[[2]] + W2<- varargin[[3]] + C<- c(0,0,0) + if(Nargs>=4){ + C<- varargin[[4]] + } + if(Mixtype(Pd3)==1){ + Pd3<- list(Pd3) + } else if(Mixtype(Pd3)==3){ + Tmp<- list() + for (I in Looprange(1,Mixlength(Pd3))){ + Tmp<- c(Tmp,Op(I,Pd3)) + } + Pd3<- Tmp + } + Out<- list() + for (I in Looprange(1,Mixlength(Pd3))){ + PD<- Op(I,Pd3) + Ans<- c() + for (J in Looprange(1,Nrow(PD))){ + if(is.matrix(PD)){ # 11.08.27 + P<- PD[J,] + } + else{ + P<- PD + } + Tmp<- Rotate3pt(P,W1,W2,C) # 14.03.23 + Ans<- rbind(Ans,Tmp) + } # 11.08.27 + rownames(Ans)<- 1:Nrow(Ans) #10.08.16 + Out<- c(Out,list(Ans)) + } + if(Mixlength(Out)==1){ + Out<- Op(1,Out) + } + return(Out) +} + +####################################### + +Rotate3pt<- function(...){ + varargin<-list(...) + Eps<-10^(-4) + Nargs<-length(varargin) + P<- varargin[[1]] + W1<- varargin[[2]] + W2<- varargin[[3]] + C<- c(0,0,0) + if(Nargs>=4){ + C<- varargin[[4]] + } + if(mode(W2)=="numeric" && length(W2)==1){ + Ct<- cos(W2) + St<- sin(W2) + V3<- 1/Norm(W1)*W1 + if(V3[1]==0){ + Tmp<- c(1,0,0) + }else{ + Tmp<- c(0,1,0) + } + W1<- c(Tmp[2]*V3[3]-Tmp[3]*V3[2], + Tmp[3]*V3[1]-Tmp[1]*V3[3], + Tmp[1]*V3[2]-Tmp[2]*V3[1]) + V1<- 1/Norm(W1)*W1 + V2<- c(V3[2]*V1[3]-V3[3]*V1[2], + V3[3]*V1[1]-V3[1]*V1[3], + V3[1]*V1[2]-V3[2]*V1[1]) + }else{ + Tmp<- c(W1[2]*W2[3]-W1[3]*W2[2], + W1[3]*W2[1]-W1[1]*W2[3], + W1[1]*W2[2]-W1[2]*W2[1]) + if(Norm(Tmp)<Eps){ + Ans<- P + return(Ans) + } + V1<- 1/Norm(W1)*W1 + Ns<- V1[1]*W2[1]+V1[2]*W2[2]+V1[3]*W2[3] + Tmp<- W2-Ns*V1 + V2<- 1/Norm(Tmp)*Tmp + Tmp<- c(V1[2]*V2[3]-V1[3]*V2[2], + V1[3]*V2[1]-V1[1]*V2[3], + V1[1]*V2[2]-V1[2]*V2[1]) + V3<- 1/Norm(Tmp)*Tmp + Ct<- Ns/Norm(W2) + St<- sqrt(1-Ct^2) + } + if(Norm(Tmp)<Eps){ + Ans<- P + return(Ans) + } + V1x<- V1[1]; V1y<- V1[2]; V1z<- V1[3] + V2x<- V2[1]; V2y<- V2[2]; V2z<- V2[3] + V3x<- V3[1]; V3y<- V3[2]; V3z<- V3[3] + if(Mixtype(P)!=1){ + PtL<- P + }else{ + PtL<- list(P) + } + Ans<- list() + for (N in Looprange(1,Mixlength(PtL))){ + P<- Op(N,PtL) + if(P[1]==Inf){ + Ans<- c(Ans,list(c(Inf,Inf,Inf))) + next + } + x<- P[1]-C[1]; y=P[2]-C[2]; z=P[3]-C[3] + Tmp1<- ((V1x*Ct+V2x*St)*V1x+(-V1x*St+V2x*Ct)*V2x+V3x^2)*x + Tmp2<- ((V1x*Ct+V2x*St)*V1y+(-V1x*St+V2x*Ct)*V2y+V3x*V3y)*y + Tmp3<- ((V1x*Ct+V2x*St)*V1z+(-V1x*St+V2x*Ct)*V2z+V3x*V3z)*z + X<- Tmp1+Tmp2+Tmp3 + Tmp1<- ((V1y*Ct+V2y*St)*V1x+(-V1y*St+V2y*Ct)*V2x+V3x*V3y)*x + Tmp2<- ((V1y*Ct+V2y*St)*V1y+(-V1y*St+V2y*Ct)*V2y+V3y^2)*y + Tmp3<- ((V1y*Ct+V2y*St)*V1z+(-V1y*St+V2y*Ct)*V2z+V3y*V3z)*z + Y<- Tmp1+Tmp2+Tmp3 + Tmp1<- ((V1z*Ct+V2z*St)*V1x+(-V1z*St+V2z*Ct)*V2x+V3x*V3z)*x + Tmp2<- ((V1z*Ct+V2z*St)*V1y+(-V1z*St+V2z*Ct)*V2y+V3y*V3z)*y + Tmp3<- ((V1z*Ct+V2z*St)*V1z+(-V1z*St+V2z*Ct)*V2z+V3z^2)*z + Z<- Tmp1+Tmp2+Tmp3 + Ans<- c(Ans,list(C+c(X,Y,Z))) + } + if(Mixlength(Ans)==1){ + Ans<- Op(1,Ans) + } + return(Ans) +} + +###################################### + +Setangle<- function(...){ + Eps<- 10^(-6) + varargin<-list(...) + Nargs<-length(varargin) + if(Nargs==0) { + } + else if(Nargs==1){ + V<- varargin[[1]] + V<- V/Norm(V) + THETA<<- acos(V[3]) + if(abs(sin(THETA))<Eps){ + PHI<<- 0 + } + else{ + PHI<<- acos(V[1]/sin(THETA)) + if(V[2]< -Eps) PHI<<- -PHI + } + } + else{ + PHI<<- varargin[[2]]*pi/180 + THETA<<- varargin[[1]]*pi/180 + } + Out<- paste("theta=",as.character(THETA*180/pi)," phi=", + as.character(PHI*180/pi),sep="") + return (Out) +} + +################################# + +Setpers<- function(...){ + varargin<- list(...) + Nargs<- length(varargin) + if(Nargs==0){ + } + else{ + FocusPoint<<- varargin[[1]] + EyePoint<<- varargin[[2]] + } + F<- as.character(FocusPoint) + E<- as.character(EyePoint) + Out<- paste("Focus = c(",F[1],",",F[2],",",F[3],") , ", + " Eye = c(", E[1],",",E[2],",",E[3],") ",sep="") + return (Out) +} + +################################# + +SetstereoL<- function(R,T,P,H){ + X<- R*sin(T*pi/180)*cos(P*pi/180) + Y<- R*sin(T*pi/180)*sin(P*pi/180) + Z<- R*cos(T*pi/180) + Eye<- c(X+H/2*Y/(X^2+Y^2),Y-H/2*X/(X^2+Y^2),Z) + Out<- Setpers(c(0,0,0),Eye) + return(Out) +} + +################################# + +SetstereoR<- function(R,T,P,H){ + X<- R*sin(T*pi/180)*cos(P*pi/180) + Y<- R*sin(T*pi/180)*sin(P*pi/180) + Z<- R*cos(T*pi/180) + Eye<- c(X-H/2*Y/(X^2+Y^2),Y+H/2*X/(X^2+Y^2),Z) + Out<- Setpers(c(0,0,0),Eye) + return(Out) +} + +############################### + +Sf3data<- function(...){ + varargin<-list(...) + Nargs<- length(varargin) + FdL<- Fullformfunc(varargin[[1]]) + F<- Op(1,FdL) + Xf<- Op(2,FdL) + Yf<- Op(3,FdL) + Zf<- Op(4,FdL) + Urg<- Op(5,FdL) + Vrg<- Op(6,FdL) + Str<- strsplit(Urg,"=",fixed=TRUE)[[1]] + U<- Str[1] + Tmp<- Str[2] + Tmp<- eval(parse(text=Tmp)) + Umin<- Tmp[1]; Umax<- Tmp[2] + Str<- strsplit(Vrg,"=",fixed=TRUE)[[1]] + V<- Str[1] + Tmp<- Str[2] + Tmp<- eval(parse(text=Tmp)) + Vmin<- Tmp[1]; Vmax<- Tmp[2] + Ndu<- 25 ; Ndv<- 25; Np<- c(50,50) + if(Nargs>=3){ + Ndu<- varargin[[2]] + Ndv<- varargin[[3]] + } + if(Nargs>=4){ + Np<- varargin[[4]] + if(mode(Np)=="numeric" && length(Np)==1){ + Np<- c(Np,Np) + } + } + Du<- (Umax-Umin)/Ndu + Dv<- (Vmax-Vmin)/Ndv + PL <- c()#PL <- [] + Assign("Vmin",Vmin,"Vmax",Vmax) + Trgstr<- Assign("t=c(Vmin,Vmax)") + PL <- list() + for (I in Looprange(0,Ndu)){ + U0 <- paste("(",as.character(Umin+I*Du),")",sep="") + Tmp<- gsub(U,U0,Xf,fixed=TRUE) + Tmp1<- gsub(V,"t",Tmp,fixed=TRUE) + Tmp<- gsub(U,U0,Yf,fixed=TRUE) + Tmp2<- gsub(V,"t",Tmp,fixed=TRUE) + Tmp<- gsub(U,U0,Zf,fixed=TRUE) + Tmp3<- gsub(V,"t",Tmp,fixed=TRUE) + Tmp<- paste("c(",Tmp1,",",Tmp2,",",Tmp3,")",sep="") + PD<- Spacecurve(Tmp,Trgstr,paste("N=",as.character(Np[2]))) + PL<- c(PL,list(PD)) + } + Assign("Umin",Umin,"Umax",Umax) + Trgstr<- Assign("t=c(Umin,Umax)") + for (J in Looprange(0,Ndv)){ + V0<- paste("(",as.character(Vmin+J*Dv),")",sep="") + Tmp<- gsub(V,V0,Xf,fixed=TRUE) + Tmp1<- gsub(U,"t",Tmp,fixed=TRUE) + Tmp<- gsub(V,V0,Yf,fixed=TRUE) + Tmp2<- gsub(U,"t",Tmp,fixed=TRUE) + Tmp<- gsub(V,V0,Zf,fixed=TRUE) + Tmp3<- gsub(U,"t",Tmp,fixed=TRUE) + Tmp<- paste("c(",Tmp1,",",Tmp2,",",Tmp3,")") + PD<- Spacecurve(Tmp,Trgstr,paste("N=",as.character(Np[1]))) + PL<- c(PL,list(PD)) + } + return(PL) +} + +################################### + +Skeletonparadata<- function(...){ + varargin<-list(...) + Nargs<- length(varargin) + Out<- list() + ObjL<- Flattenlist(varargin[[1]]) + Plt3L<- Flattenlist(varargin[[2]]) + R<- 0.075*1000/2.54/MilliIn + if(Nargs>2){ + R<- R*varargin[[3]] + } + Eps2<- 0.05 + if(Nargs>3){ + Eps2<- varargin[[4]] + } + Obj2L<- list() + for (I in Looprange(1,Mixlength(ObjL))){ + Tmp<- ProjcoordCurve(Op(I,ObjL)) + Obj2L<- c(Obj2L,list(Tmp)) + } + Plt2L<- list() + for (I in Looprange(1,Mixlength(Plt3L))){ + Tmp<- ProjcoordCurve(Op(I,Plt3L)) + Plt2L<- c(Plt2L,list(Tmp)) + } + Out<- Makeskeletondata(Obj2L,Plt2L,R,Eps2) + return(Out) +} + +################################ + +Skeletonpara3data<- function(...){ + varargin<-list(...) + Nargs<- length(varargin) + ObjL<- Flattenlist(varargin[[1]]) + Plt3L<- Flattenlist(varargin[[2]]) + R<- 0.075*1000/2.54/MilliIn + if(Nargs>2){ + R=R*varargin[[3]] + } + Eps2<- 0.05 + if(Nargs>3){ + Eps2<- varargin[[4]] + } + Plt2L<- list() + for (I in Looprange(1,Mixlength(Plt3L))){ + Tmp<- ProjcoordCurve(Op(I,Plt3L)) + Plt2L<- c(Plt2L,list(Tmp)) + } + Out<- list() + for (I in Looprange(1,Mixlength(ObjL))){ + Obj3<- Op(I,ObjL) + Tmp<- ProjcoordCurve(Obj3) + Data<- Makeskeletondata(list(Tmp),Plt2L,R,Eps2) + for (J in Looprange(1,Mixlength(Data))){ + Gd<- Op(J,Data) + PtD<- c() + for (J in Looprange(1,Nrow(Gd))){ + Tmp<- Ptcrv(J,Gd) + Tmp1<- Invparapt(Tmp,Obj3) + Tmp1<- Op(1,Tmp1) + PtD<- c(PtD,Tmp1) + } + PtD<- matrix(PtD,ncol=3,byrow=TRUE) + Out<- c(Out,list(PtD)) + } + } + return(Out) +} + +################################# + +#100815 +Skeletonpersdata<- function(...){ + varargin<-list(...) + Nargs<- length(varargin) + Out<- list() + ObjL<- Flattenlist(varargin[[1]]) + Plt3L<- Flattenlist(varargin[[2]]) + R<- 0.075*1000/2.54/MilliIn + if(Nargs>2){ + R<- R*varargin[[3]] + } + Eps2<- 0.05 + if(Nargs>3){ + Eps2<- varargin[[4]] + } + Obj2L<- list() + for (I in Looprange(1,Mixlength(ObjL))){ + Tmp<- CameracoordCurve(Op(I,ObjL)) + Obj2L<- c(Obj2L,list(Tmp)) + } + Plt2L<- list() + for (I in Looprange(1,Mixlength(Plt3L))){ + Tmp<- CameracoordCurve(Op(I,Plt3L)) + Plt2L<- c(Plt2L,list(Tmp)) + } + Out<- Makeskeletonpersdata(Obj2L,Plt2L,R,Eps2) + return(Out) +} + +##################### +#100815 +Skeletonpers3data<- function(...){ + varargin<-list(...) + Nargs<- length(varargin) + Out<- list() + ObjL<- Flattenlist(varargin[[1]]) + Plt3L<- Flattenlist(varargin[[2]]) + R<- 0.075*1000/2.54/MilliIn + if(Nargs>2){ + R<- R*varargin[[3]] + } + Eps2<- 0.05 + if(Nargs>3){ + Eps2<- varargin[[4]] + } + Plt2L<- list() + for (I in Looprange(1,Mixlength(Plt3L))){ + Tmp<- CameracoordCurve(Op(I,Plt3L)) + Plt2L<- c(Plt2L,list(Tmp)) + } + Out<- list() + for (I in Looprange(1,Mixlength(ObjL))){ + Obj3<- Op(I,ObjL) + Tmp<- CameracoordCurve(Obj3) + Data<- Makeskeletonpersdata(list(Tmp),Plt2L,R,Eps2) + for (J in Looprange(1,Mixlength(Data))){ + Gd<- Op(J,Data) + PtD<- c() + for (J in Looprange(1,Nrow(Gd))){ + Tmp<- Gd[J,] + Tmp1<- Invperspt(Tmp,Obj3) + Tmp1<- Op(1,Tmp1) + PtD<- rbind(PtD,Tmp1) + } + Out<- c(Out,list(PtD)) + } + } + return(Out) +} + +################################# + +Spacecurve<- function(...){ + Eps<- 10^(-5) + varargin<-list(...) + Nargs<- length(varargin) + Fnstr<- varargin[[1]] + Rgstr<- varargin[[2]] + Range<- c(0,2*pi) + N<- 50 #Numpoints + E<- c() #Exclusions + D<- Inf #Discont (Changed) + for(I in Looprange(3,Nargs)){ + Tmp<- varargin[[I]] + StrV<- strsplit(Tmp,"=",fixed=TRUE) + StrV<- StrV[[1]] + Tmp1<- toupper(StrV[1]) + Lhs<- substr(Tmp1,1,1) + Str<- paste(Lhs,"=",StrV[2],sep="") + eval(parse(text=Str)) + } + StrV<- strsplit(Rgstr,"=",fixed=TRUE) + StrV<- StrV[[1]] + if(length(StrV)>1){ + Vname<- StrV[1] + Rng<- eval(parse(text=StrV[2])) + } + else{ + Vname<- Rgstr + Rng<- c(XMIN,XMAX) + } + T1<- Rng[1]; T2<- Rng[2] + Dt<- (T2-T1)/N #17.09.22 + Str<- gsub(Vname,"t",Fnstr) + Str=gsub("[","c(",Str,fixed=TRUE) #17.12.22(2lines) + Str=gsub("]",")",Str,fixed=TRUE) + if(abs(Dt)<Eps){ # 16.12.13 + t=T1 + P=eval(parse(text=Str)) + return(P) + } + P<- c() +# E<- sort(E,decreasing=FALSE) + E<- c(E,Inf) + E<- sort(E,decreasing=FALSE) + Ke<- 1 + for(jj in 1:(N+1)){ + t=T1+(jj-1)*Dt + Pa<- c() + if(t-E[Ke]< Eps){ + Pa<- eval(parse(text=Str)) + } + if(abs(t-E[Ke])<=Eps){ + if(length(P)>0 && P[Nrow(P),1]!=Inf){ + Pa<- c(Inf,Inf,Inf) + } + } + if(t-E[Ke]>Eps){ + Pa<- eval(parse(text=Str)) + Ke<- Ke+1 + } + if(length(Pa)>0){ + if(Pa[1]==Inf){ + P<- rbind(P,Pa) + }else if(length(P)==0){ + P<- rbind(c(),c(Pa)) + } + else{ + Tmp<- P[Nrow(P),] + if(Tmp[1]==Inf){ + P<- rbind(P,Pa) + } + else if( Norm(Tmp-Pa)<D){ + P<- rbind(P,Pa) + } + else{ + P<- rbind(P,c(Inf,Inf,Inf)) + P<- rbind(P,Pa) + } + } + } + } + rownames(P)<- 1:Nrow(P) # 10.08.16 + return(P) +} + +######################################## + +Spaceline<- function(...){ + varargin<- list(...) + Z<- c() + for(I in 1:length(varargin)){ + Data<- varargin[[I]] + if(Mixtype(Data)==1){ + J<- 1 + while (J<=Ncol(Data)){ + Tmp<- Data[J:(J+2)] + Z<-c(Z,Tmp) + J<- J+3 + } + next + } + if(Mixtype(Data)==3){ + Tmp<- list() + for(I in 1:Mixlength(Data)){ + Tmp<- c(Tmp,Op(I,Data)) + } + Data<- Tmp + } + for(J in 1:Mixlength(Data)){ + Tmp<- Op(J,Data) + Z<- c(Z,Tmp) + } + } + Z<- matrix(Z,ncol=3,byrow=TRUE) + return(Z) +} + +################################# + +Translate3data<- function(...){ + varargin<- list(...) + Nargs<- length(varargin) + Pd3<- varargin[[1]] + Mv<- varargin[[2]] + if(mode(Mv)=="numerice" && length(Mv)==1){ + Mv<- c(varargin[[2]],varargin[[3]],varargin[[4]]) + } + if(Mixtype(Pd3)==1){ + Pd3<- list(Pd3) + } + else if(Mixtype(Pd3)==3){ + Tmp<-list() + for(I in Looprange(1,Mixlength(Pd3))){ + Tmp<- c(Tmp, Op(I,Pd3)) + } + Pd3<- Tmp + } + Out<- list() + for(I in Looprange(1,Mixlength(Pd3))){ + PD<- Op(I,Pd3) + PD<- rbind(c(),PD) + Ans<- c() + for(J in Looprange(1,Nrow(PD))){ + P<- PD[J,] + Tmp<- P+Mv + Ans<- rbind(Ans,Tmp) + } + rownames(Ans)<- 1:Nrow(Ans) + Out<- c(Out,list(Ans)) + } + if(Mixlength(Out)==1){ + Out<- Op(1,Out) + } + return(Out) +} + +############################################### + +Xyzax3data<- function(Xrange,Yrange,Zrange){ + StrV<-strsplit(Xrange,"=",fixed=TRUE) + StrV<- StrV[[1]] + if(length(StrV)>1) StrV<- StrV[2] + Tmp<- eval(parse(text=StrV)) + Px<- c(Tmp[1],0,0) + Qx<- c(Tmp[2],0,0) + StrV<-strsplit(Yrange,"=",fixed=TRUE) + StrV<- StrV[[1]] + if(length(StrV)>1) StrV<- StrV[2] + Tmp<- eval(parse(text=StrV)) + Py<- c(0,Tmp[1],0) + Qy<- c(0,Tmp[2],0) + StrV<-strsplit(Zrange,"=",fixed=TRUE) + StrV<- StrV[[1]] + if(length(StrV)>1) StrV<- StrV[2] + Tmp<- eval(parse(text=StrV)) + Pz<- c(0,0,Tmp[1]) + Qz<- c(0,0,Tmp[2]) + Out<- list(Spaceline(Px,Qx),Spaceline(Py,Qy),Spaceline(Pz,Qz)) + return(Out) +} + +################################### + +Xyzaxparaname<- function(...){ + varargin<- list(...) + Nargs<- length(varargin) + Eps<- 10.0^(-6) + Dr<- 0.19*1000/2.54/MilliIn + Tmp<- varargin[[Nargs]] + if(Nargs>1 && is.numeric(Tmp)){ + Dr<- Dr*Tmp + Nargs<- Nargs-1 + } + if(mode(varargin[[1]])=="character"){ + Xname<- "x" + Yname<- "y" + Zname<- "z" + Xrange<- varargin[[1]] + Yrange<- varargin[[2]] + Zrange<- varargin[[3]] + StrV<-strsplit(Xrange,"=",fixed=TRUE) + StrV<- StrV[[1]] + if(length(StrV)>1){ + Xname<- StrV[1] + StrV<- StrV[2] + } + Tmp<- eval(parse(text=StrV)) + Px<- c(Tmp[1],0,0) + Qx<- c(Tmp[2],0,0) + StrV<-strsplit(Yrange,"=",fixed=TRUE) + StrV<- StrV[[1]] + if(length(StrV)>1){ + Yname<- StrV[1] + StrV<- StrV[2] + } + Tmp<- eval(parse(text=StrV)) + Py<- c(0,Tmp[1],0) + Qy<- c(0,Tmp[2],0) + StrV<-strsplit(Zrange,"=",fixed=TRUE) + StrV<- StrV[[1]] + if(length(StrV)>1){ + Zname<- StrV[1] + StrV<- StrV[2] + } + Tmp<- eval(parse(text=StrV)) + Pz<- c(0,0,Tmp[1]) + Qz<- c(0,0,Tmp[2]) + }else{ + Data<- varargin[[1]] + Xname<- "x"; Yname<- "y"; Zname<- "z" + if(Nargs>1){ + if(varargin[[2]]!=""){ + Xname<- varargin[[2]] + } + if(varargin[[3]]!=""){ + Yname<- varargin[[3]] + } + if(varargin[[4]]!=""){ + Zname<- varargin[[4]] + } + } + Tmp<- Op(1,Data) + Px<- Tmp[1,]; Qx<- Tmp[2,] + Tmp<- Op(2,Data) + Py<- Tmp[1,] + Qy<- Tmp[2,] + Tmp<- Op(3,Data) + Pz<- Tmp[1,] + Qz<- Tmp[2,] + } + Ph<- Parapt(Px); Qh<- Parapt(Qx); R<-Norm(Ph-Qh) + Kekka<- list() + if(R>Eps){ + Ch<- Qh+Dr/R*(Qh-Ph) + Kekka<- c(Kekka,list(Pointdata(Ch))) + Expr(Ch,"c",Xname) + } + Ph<- Parapt(Py); Qh<- Parapt(Qy); R<- Norm(Ph-Qh) + if(R>Eps){ + Ch<- Qh+Dr/R*(Qh-Ph) + Kekka<- c(Kekka,list(Pointdata(Ch))) + Expr(Ch,"c",Yname) + } + Ph<- Parapt(Pz); Qh<- Parapt(Qz); R<- Norm(Ph-Qh) + if(R>Eps){ + Ch<- Qh+Dr/R*(Qh-Ph) + Kekka<- c(Kekka,list(Pointdata(Ch))) + Expr(Ch,"c",Zname) + } +# return(Kekka) +} + +################################### + +Xyzaxpersname<- function(...){ + varargin<- list(...) + Eps<- 10.0^(-6) + Nargs<- length(varargin) + Dr<- 0.19*1000/2.54/MilliIn + Tmp<- varargin[[Nargs]] + if(Nargs>1 && mode(Tmp)=="numeric"){ + Dr<- Dr*Tmp + Nargs<- Nargs-1 + } + if(mode(varargin[[1]])=="character"){ + Xname<- "x" + Yname<- "y" + Zname<- "z" + Xrange<- varargin[[1]] + Yrange<- varargin[[2]] + Zrange<- varargin[[3]] + StrV<-strsplit(Xrange,"=",fixed=TRUE) + StrV<- StrV[[1]] + if(length(StrV)>1){ + Xname<- StrV[1] + StrV<- StrV[2] + } + Tmp<- eval(parse(text=StrV)) + Px<- c(Tmp[1],0,0) + Qx<- c(Tmp[2],0,0) + StrV<-strsplit(Yrange,"=",fixed=TRUE) + StrV<- StrV[[1]] + if(length(StrV)>1){ + Yname<- StrV[1] + StrV<- StrV[2] + } + Tmp<- eval(parse(text=StrV)) + Py<- c(0,Tmp[1],0) + Qy<- c(0,Tmp[2],0) + StrV<-strsplit(Zrange,"=",fixed=TRUE) + StrV<- StrV[[1]] + if(length(StrV)>1){ + Zname<- StrV[1] + StrV<- StrV[2] + } + Tmp<- eval(parse(text=StrV)) + Pz<- c(0,0,Tmp[1]) + Qz<- c(0,0,Tmp[2]) + }else{ + Data<- varargin[[1]] + Xname<- "x"; Yname<- "y"; Zname<- "z" + if(Nargs>1){ + if(varargin[[2]]!=""){ + Xname<- varargin[[2]] + } + if(varargin[[3]]!=""){ + Yname<- varargin[[3]] + } + if(varargin[[4]]!=""){ + Zname<- varargin[[4]] + } + } + Tmp<- Op(1,Data) + Px<- Tmp[1,]; Qx<- Tmp[2,] + Tmp<- Op(2,Data) + Py<- Tmp[1,] + Qy<- Tmp[2,] + Tmp<- Op(3,Data) + Pz<- Tmp[1,] + Qz<- Tmp[2,] + } + Ph<- Perspt(Px) + Qh<- Perspt(Qx) + R<- Norm(Ph-Qh) + Kekka<- list() + if(R>Eps){ + Ch<- Qh+Dr/R*(Qh-Ph) + Kekka<- c(Kekka,list(Pointdata(Ch))) + Expr(Ch,"c",Xname) + } + Ph<- Perspt(Py) + Qh<- Perspt(Qy) + R<- Norm(Ph-Qh) + if(R>Eps){ + Ch<- Qh+Dr/R*(Qh-Ph) + Kekka<- c(Kekka,list(Pointdata(Ch))) + Expr(Ch,"c",Yname) + } + Ph<- Perspt(Pz) + Qh<- Perspt(Qz) + R<- Norm(Ph-Qh) + if(R>Eps){ + Ch<- Qh+Dr/R*(Qh-Ph) + Kekka<- c(Kekka,list(Pointdata(Ch))) + Expr(Ch,"c",Zname) + } +# return(Kekka) +} + +######################### +#100815 +Zparapt<- function(P){#function Out=Zparapt(P) + x<- P[1]; y<- P[2]; z<- P[3] + Out<- x*cos(PHI)*sin(THETA)+y*sin(PHI)*sin(THETA)+z*cos(THETA) + return(Out) +} + +######################### +#100815 +Zperspt<- function(P){ + Tmp<- P-FocusPoint + X1<- Tmp[1]; Y1<- Tmp[2]; Z1<- Tmp[3] + Tmp<- EyePoint-FocusPoint + E1<- Tmp[1]; F1<- Tmp[2]; G1<- Tmp[3] + Ca<- E1/sqrt(E1^2+F1^2) + Sa<- F1/sqrt(E1^2+F1^2) + X2<- X1*Ca+Y1*Sa; Y2<- -X1*Sa+Y1*Ca; Z2<- Z1 + E2<- E1*Ca+F1*Sa; F2<- -E1*Sa+F1*Ca; G2<- G1 + Cb<- E2/sqrt(E2^2+G2^2) + Sb<- G2/sqrt(E2^2+G2^2) + X3<- X2*Cb+Z2*Sb + return(X3) +} + +########################################## + + + +########################################## + +# Stat Package + +########################################## + +# 2010.04.12 + +# new + +# Htickmarklower, Vtickmarkleft, HtickmarklowerV +# VtickmarkleftV, Insertcom, Replacecom +# Maketexfile, Formatting +# Drwhistframe, Histplotdata, Drwhistplot + +Htickmarklower<- function(...) +{ ## Scaling is implemented + varargin<- list(...) + Nargs<- length(varargin) + ArgsL<- varargin + if(mode(ArgsL[[1]])=="character"){ + Str<- ArgsL[[1]] + Tmp<- strsplit(Str,"m") + Tmp<- Tmp[[1]] + if(length(Tmp)>1){ + I<- nchar(Tmp[1])+1 + } + else{ + I<- 0 + } + Tmp<- strsplit(Str,"n") + Tmp<- Tmp[[1]] + if(length(Tmp)>1){ + J<- nchar(Tmp[1])+1 + } + else{ + J<- 0 + } + Tmp<- strsplit(Str,"r") + Tmp<- Tmp[[1]] + if(length(Tmp)>1){ + K=nchar(Tmp[1])+1 + } + else{ + K<- 0 + } + if(K>0){ + S<- substr(Str,K+1,nchar(Str)) + R<- as.numeric(S) + if(is.na(R)){ + R<- 1 + } + } + else{ + R<- 1 + K<- nchar(Str)+1 + } + if(J>0){ + S<- substr(Str,J+1,K-1) + Dn<- as.numeric(S) + if(is.na(Dn)){ + Dn<- 1 + } + } + else{ + Dn<- 1000 + J<- nchar(Str)+1 + } + S<- substr(Str,I+1,J-1) + Dm<- as.numeric(S) + if(is.na(Dm)){ + Dm<- 1 + } + ArgsL<- list() + for (I in Looprange(1, floor((XMAX-GENTEN[1])/Dm))){ + ArgsL<- Mixjoin(ArgsL,I*Dm) + if(I-floor(I/Dn)*Dn==0){ + Str<- as.character(I*Dm*R) + ArgsL<- Mixjoin(ArgsL,Str) + } + } + for (I in seq(-1,ceiling((XMIN-GENTEN[1])/Dm),by=-1)){ + ArgsL<- Mixjoin(ArgsL,I*Dm) + if(I-floor(I/Dn)*Dn==0){ + Str<- as.character(I*Dm*R) + ArgsL<- Mixjoin(ArgsL,Str) + } + } + } + MemoriList<- list() + Memori<- list() + for (N in 1:length(ArgsL)){ + Dt<- ArgsL[[N]] + if(mode(Dt)=="numeric" && length(Dt)>1){ + if(length(Memori)>0){ + MemoriList<- Mixjoin(MemoriList,list(Memori)) + } + Memori<- list(Dt) + next + } + if(mode(Dt)=="character"){ + Memori<- Mixjoin(Memori,Dt) + } + else{ + if(length(Memori)>0){ + MemoriList<- Mixjoin(MemoriList,list(Memori)) + } + Memori<- list(Dt,GENTEN[2]) + } + } + MemoriList<- Mixjoin(MemoriList,list(Memori)) + for (N in 1:length(MemoriList)){ + Dt<- MemoriList[[N]] + Ndt<- length(Dt) + X=Op(1,Dt) + Y=Op(2,Dt) + Tmp<-Doscaling(c(X,Y)) + X<- Tmp[1] + Y<- Tmp[2] + Moji<- Op(Ndt,Dt) + Tmp1<- Unscaling(c(X,Y)) + Tmp2<- Unscaling(c(X,Y-2*MARKLEN)) + Fd<- Listplot(c(Tmp1,Tmp2)) + Drwline(Fd) + if(Ndt==3){ + Tmp<-Unscaling(c(X,Y-2*MARKLEN)) + Expr(Tmp,"s",Moji) + } + if(Ndt==4){ + Houkou<- Op(3,Dt) + Tmp<-grep("s",Houkou) + if(length(Tmp)>0){ + Tmp<-Unscaling(c(X,Y-2*MARKLEN)) + Expr(Tmp,Houkou,Moji) + } + else{ + Tmp<- Unscaling(c(X,Y)) + Expr(Tmp,Houkou,Moji) + } + } + cat("%\n",file=Wfile,append=TRUE) + } +} + +Vtickmarkleft<- function(...) +{ ## Scaling is implemented + varargin<- list(...) + Nargs<- length(varargin) + ArgsL<- varargin + if(mode(ArgsL[[1]])=="character"){ + Str<- ArgsL[[1]] + Tmp<- strsplit(Str,"m") + Tmp<- Tmp[[1]] + if(length(Tmp)>1){ + I<- nchar(Tmp[1])+1 + } + else{ + I<- 0 + } + Tmp<- strsplit(Str,"n") + Tmp<- Tmp[[1]] + if(length(Tmp)>1){ + J<- nchar(Tmp[1])+1 + } + else{ + J<- 0 + } + Tmp<- strsplit(Str,"r") + Tmp<- Tmp[[1]] + if(length(Tmp)>1){ + K=nchar(Tmp[1])+1 + } + else{ + K<- 0 + } + if(K>0){ + S<- substr(Str,K+1,nchar(Str)) + R<- as.numeric(S) + if(is.na(R)){ + R<- 1 + } + } + else{ + R<- 1 + K<- nchar(Str)+1 + } + if(J>0){ + S<- substr(Str,J+1,K-1) + Dn<- as.numeric(S) + if(is.na(Dn)){ + Dn<- 1 + } + } + else{ + Dn<- 1000 + J<- nchar(Str)+1 + } + S<- substr(Str,I+1,J-1) + Dm<- as.numeric(S) + if(is.na(Dm)){ + Dm<- 1 + } + ArgsL<- list() + for (I in 1:floor((YMAX-GENTEN[2])/Dm)){ + ArgsL<- Mixjoin(ArgsL,I*Dm) + if(I-floor(I/Dn)*Dn==0){ + Str<- as.character(I*Dm*R) + ArgsL<- Mixjoin(ArgsL,Str) + } + } + for (I in seq(-1,ceiling((YMIN-GENTEN[2])/Dm))){ + ArgsL<- Mixjoin(ArgsL,I*Dm) + if(I-floor(I/Dn)*Dn==0){ + Str<- as.character(I*Dm*R) + ArgsL<- Mixjoin(ArgsL,Str) + } + } + } + MemoriList<- list() + Memori<- list() + for (N in 1:length(ArgsL)){ + Dt<- ArgsL[[N]] + if(mode(Dt)=="numeric" && length(Dt)>1){ + if(length(Memori)>0){ + MemoriList<- Mixjoin(MemoriList,list(Memori)) + } + Memori<- list(Dt) + next + } + if(mode(Dt)=="character"){ + Memori<- Mixjoin(Memori,Dt) + } + else{ + if(length(Memori)>0){ + MemoriList<- Mixjoin(MemoriList,list(Memori)) + } + Memori<- list(GENTEN[1],Dt) + } + } + MemoriList<- Mixjoin(MemoriList,list(Memori)) + for (N in 1:length(MemoriList)){ + Dt<- MemoriList[[N]] + Ndt<- length(Dt) + X=Op(1,Dt) + Y=Op(2,Dt) + Tmp<-Doscaling(c(X,Y)) + X<- Tmp[1] + Y<- Tmp[2] + Moji<- Op(Ndt,Dt) + Tmp1<- Unscaling(c(X,Y)) + Tmp2<- Unscaling(c(X-2*MARKLEN,Y)) + Fd<- Listplot(c(Tmp1,Tmp2)) + Drwline(Fd) + if(Ndt==3){ + Tmp<-Unscaling(c(X-2*MARKLEN,Y)) + Expr(Tmp,"w",Moji) + } + if(Ndt==4){ + Houkou<- Op(3,Dt) + Tmp<-grep("w",Houkou) + if(length(Tmp)>0){ + Tmp<-Unscaling(c(X-2*MARKLEN,Y)) + Expr(Tmp,Houkou,Moji) + } + else{ + Tmp<- Unscaling(c(X,Y)) + Expr(Tmp,Houkou,Moji) + } + } + cat("%\n",file=Wfile,append=TRUE) + } +} + +HtickmarklowerV<- function(Vec,digits=2,nsmall=2) +{ + for (I in 1:length(Vec)){ + Tmp<- Vec[I] + Htickmarklower(Tmp, Formatting(Tmp,digits,nsmall)) + } +} + +HtickLV<- function(...) +{ + HtickmarklowerV(...) +} + +VtickmarkleftV<- function(Vec,digits=2,nsmall=2) +{ + for (I in 1:length(Vec)){ + Tmp<- Vec[I] + Vtickmarkleft(Tmp, Formatting(Tmp,digits,nsmall)) + } +} + +VtickLV<- function(...) +{ + VtickmarkleftV(...) +} + +Insertcom<- function(CmdM,Npos,Str) +{ + if(is.matrix(CmdM)){ + Cmd<- CmdM + } + else{ + C<- paste("Cmd<- ",CmdM) + eval(parse(text=C)) + } + Out<- Cmd[Looprange(1,Npos-1),] + Out<- c(Out,Str) + Tmp<- Cmd[Looprange(Npos,nrow(Cmd)),] + Out<- c(Out,Tmp) + Out<- matrix(Out) + if(!is.matrix(CmdM)){ + C<- paste(CmdM,"<<- Out") + eval(parse(text=C)) + } + return(Out) +} + +Replacecom<- function(CmdM,Npos,Str) +{ + if(is.matrix(CmdM)){ + Cmd<- CmdM + } + else{ + C<- paste("Cmd<- ",CmdM) + eval(parse(text=C)) + } + Out<- Cmd[Looprange(1,Npos-1),] + Out<- c(Out,Str) + Tmp<- Cmd[Looprange(Npos+1,nrow(Cmd)),] + Out<- c(Out,Tmp) + Out<- matrix(Out) + if(!is.matrix(CmdM)){ + C<- paste(CmdM,"<<- Out") + eval(parse(text=C)) + } + return(Out) +} + +Deletecom<- function(CmdM,Npos) +{ + if(is.matrix(CmdM)){ + Cmd<- CmdM + } + else{ + C<- paste("Cmd<- ",CmdM) + eval(parse(text=C)) + } + Out<- Cmd[Looprange(1,Npos-1),] + Tmp<- Cmd[Looprange(Npos+1,nrow(Cmd)),] + Out<- c(Out,Tmp) + Out<- matrix(Out) + if(!is.matrix(CmdM)){ + C<- paste(CmdM,"<<- Out") + eval(parse(text=C)) + } + return(Out) +} + +Maketexfile<- function(commands="",texfile="") +{ + Openfile(texfile) + Execmd(commands) + Closefile() +} + +Formatting<- function(X,D=2,N=2) +{ + if(D>0){ + Xs <- format(X,digits=D,nsmall=N) + } + else{ + Xs<- as.character(X) + } + return(Xs) +} + +################################ + +Boxplotdata1 <-function(DataF1,CenterX,Width,...) +{ + Xr <- Width + Temp <- boxplot(DataF1[1],plot=FALSE) + Stats <- Temp$stats + rownames(Stats) <- c("Lhige","Q1","Q2","Q3","Uhige") + Out <- Temp$out + Lhige <- Stats["Lhige",1] + Uhige <- Stats["Uhige",1] + Q1 <- Stats["Q1",1] + Q2 <- Stats["Q2",1] + Q3 <- Stats["Q3",1] + CenterY <- (Q1+Q3)/2 + C <- c(CenterX,CenterY) + V <- c(0,(Q3-Q1)/2) + G1 <- Framedata(C,Xr/2,V[2]) # box + Temp1 <- c(0,Q1-Lhige) + Temp2 <- c(0,Uhige-Q3) + G2 <- Listplot(C-V,C-V-Temp1) # + G3 <- Listplot(C+V,C+V+Temp2) # + Temp3 <- c(Xr/4,0) + G4 <- Listplot(C-V-Temp1-Temp3,C-V-Temp1+Temp3) # + G5 <- Listplot(C+V+Temp2-Temp3,C+V+Temp2+Temp3) # + Temp4 <- c(0,Q3-Q2) + Temp5 <- c(Xr/2,0) + G6 <- Listplot(C+V-Temp4-Temp5,C+V-Temp4+Temp5) # + G7 <- list() + for(j in Looprange(1,length(Out))){ + G7 <- c(G7,list(c(CenterX, Out[j]))) + } + G7 <- G7[order(Out,decreasing=TRUE)] + list(median=G6,box=G1,uwhisker=G2,lwhisker=G3,lwp=G4,uwp=G5,outliers=G7) +} + +Boxplotdata2 <- function(Data,Ratio, ...) +{ + DataF<- Flattenlist(Data) # 11.07.21(from) + ymin<- Inf + ymax<- -Inf + for(J in 1:length(DataF)){ + Tmp<- DataF[[J]] + ymin<- min(ymin, min(Tmp)) + ymax<- max(ymax,max(Tmp)) + } # 11.07.21(until) + dy <- ymax-ymin + Setwindow(c(0,XMAX-XMIN),c(ymin-0.1*dy,ymax+0.1*dy)) + R1<- (YMAX-YMIN)/(XMAX-XMIN) + R<- Ratio/R1 + Setscaling(R) + Delta <- XMAX/length(DataF) + W <- 0.6*Delta + PdL <- list() + for(i in 1:length(DataF)){ # 11.07.21 + X <- (0.5+i-1)*Delta + G <- Boxplotdata1(DataF[i],X,W,...) + PdL <- c(PdL,list(G)) + } + G <- Framedata() + Tmp<- list(frame=G) + PdL <-c(PdL,list(Tmp)) + Epsi <-0 + Setwindow(c(XMIN-Epsi,XMAX+Epsi),c(YMIN-Epsi,YMAX+Epsi)) + return(PdL) +} + +Drwboxframe<-function(BoxDataL) +{ + Setorigin(c(XMIN,YMIN)) + Tmp<- Unscaling(c(0.2,0.2)) + Setwindow(c(XMIN-0.2,XMAX),c(YMIN-Tmp[2],YMAX)) + Hako<- BoxDataL$plotdata + title<- BoxDataL$title + cap<- BoxDataL$cap + ylab<- BoxDataL$ylab + if(mode(title)!="list") title<- list(title) + if(mode(cap)!="list") cap<- list(cap) + if(mode(ylab)!="list") ylab<- list(ylab) + if(length(title)==0) title<- list("") + if(length(title)==1) title<- c(title, list("n")) + if(length(title)==2) title<- c(title, list("")) + if(length(cap)==0) cap<- list("") + if(length(cap)==1) cap<- c(cap, list("n"),0) # 11.11.27 + if(length(cap)==2) cap<- c(cap, 0) # 11.11.27 + if(length(ylab)==0) ylab<- list("") + if(length(ylab)==1) ylab <- c(ylab, list("n")) + if(length(ylab)==2) ylab<- c(ylab, list("")) + Temp <- Hako[[length(Hako)]] + Drwline(Temp$frame) + Fontsize(cap[[2]]) + for(i in Looprange(1,length(Hako)-1)){ + Temp <- Hako[[i]] + attach(Temp) + Dashline(uwhisker,lwhisker) + Drwline(median,2) + Drwline(box,lwp,uwp) + Drwpt(outliers,0) + X <- uwhisker[1,1] + detach(Temp) + Htickmarklower(X) + if(nchar(cap[[1]])<1) next # 2011.03.08 + if(length(cap)==2 || cap[[3]]==0){ + pos<- 1 + if(length(cap)>=4) pos<- cap[[4]] + Tmp<- paste("s",as.character(pos),sep="") + Letter(c(X,YMIN),Tmp, Op(i,cap[[1]])) + } + else{ + rotate<- cap[[3]] + if(length(cap)==3){ + pos<- 0 + } + else{ + pos<- cap[[4]] + } + Temp1 <- rotate*pi/180 + Temp <- c(cos(Temp1),sin(Temp1)) + Letterrot(c(X,YMIN-pos),Temp,Op(i,cap[[1]])) + } + } + if(nchar(ylab[[1]])>0){ + Fontsize(ylab[[2]]) + Tmp1<- ylab[[1]] + Tmp3<- ylab[[3]] + if(nchar(Tmp3)>0){ + Tmp1<- paste("{\\",Tmp3," ",Tmp1,"}",sep="") + } + Letter(c(XMIN, YMAX),"n2",Tmp1) + Fontsize("n") + } + if(nchar(title[[1]])>0){ + Fontsize(title[[2]]) + Tmp1<- title[[1]] + Tmp3<- title[[3]] + if(nchar(Tmp3)>0){ + Tmp1<- paste("{\\",Tmp3," ",Tmp1,"}",sep="") + } + Letter(c((XMIN+XMAX)/2,YMAX),"n2",Tmp1) + } + Fontsize("n") +} + +Drwboxplot<- function(dataf,var,size, + title=list(""), cap=list(colnames(dataf)), + ylab=list(""), ptsize=5,plot=TRUE,...) + #Return : title,cap,ylab,commands,plotdata,info +{ + Tmp <- boxplot(dataf, plot=FALSE, ...) + Stats <- Tmp$stats + DataF<- Flattenlist(dataf) # 11.07.21(from) + ymin<- Inf + ymax<- -Inf + for(J in 1:length(DataF)){ + Tmp<- DataF[[J]] + ymin<- min(ymin, min(Tmp)) + ymax<- max(ymax,max(Tmp)) + } # 11.07.21(until) + Hako<- Boxplotdata2(dataf, size[2]/size[1], ...) + if(plot){ + Windisp(Hako) + } + Tmp<- Formatting(size[1]/(XMAX-XMIN),5,5) + unit<- paste(Tmp,"cm",sep="") + Setunitlen(unit) + Exstr<- c( + "","", + paste("Beginpicture(","'",unit,"')",sep=""), + paste("Setpt(",as.character(ptsize),")",sep=""), + "","", + paste("Drwboxframe(",var,")",sep=""), + paste("VtickLV(c(",as.character(ymin),",", as.character(ymax),"),0,0)",sep=""), + "","","","", + "Setpt(1)", + "Endpicture(0)" + ) + Exstr<- matrix(Exstr) + Xpos<- c() + for(i in Looprange(1,length(Hako)-1)){ + Temp <- Hako[[i]] + Temp1 <- Temp[[5]] + Xpos <- c(Xpos,Temp1[1,1]) + } + Info<- list(stats=Stats,window=matrix(c(XMIN,XMAX,YMIN,YMAX),nrow=2),xpos=Xpos) + Tmp<- paste(var,"<<- ", + "list(title=title,cap=cap,ylab=ylab,", + "commands=Exstr,plotdata=Hako,info=Info)",sep="") + eval(parse(text=Tmp)) +} + + +########################################### + +Histplotdata <- function(DataV,Ratio,freq=TRUE,densplot=FALSE,...) +# 10.12.07 freq +{ + Temp <- hist(DataV,plot=FALSE,...) + Breaks <- Temp$breaks + Counts <- Temp$counts + Density <- Temp$density + Mids <- Temp$mids + if(!freq){ + Data<- Density + } + else{ + Data<- Counts + } + Ghist <- list() + for(i in Looprange(1,length(Breaks)-1)){ + Tmp1 <- c(Breaks[i],Breaks[i+1]) + Tmp2 <- c(0,Data[i]) + G1 <- Framedata(Tmp1,Tmp2) #bar + Ghist <- c(Ghist,list(G1)) + } + Bin <- Breaks[2]-Breaks[1] + Eps <- 0.7*Bin # 0.7 times Bin + Temp1 <- c(min(Breaks)-Eps,max(Breaks)+Eps) # Put Eps at both sides + Temp2 <- c(0,max(Data)*1.02) + Setwindow(Temp1,Temp2) + Setorigin(c(Temp1[1],0)) + R1<- (YMAX-YMIN)/(XMAX-XMIN) + R<- Ratio/R1 + Setscaling(R) + VEps <- 0.05*(XMAX-XMIN)/5 + Temp1<- Temp1-c(VEps,0) + Temp2<- Temp2-1/R*c(VEps,0) + Setwindow(Temp1,Temp2) + Fpt <- c(Mids[1]-Bin,0) + Lpt <- c(Mids[length(Mids)]+Bin,0) + Fp <- matrix(Fpt,nrow=1) + for(i in Looprange(1,length(Mids))){ + Tmp <- c(Mids[i],Data[i]) + Fp <- rbind(Fp,Tmp) + } + Fp <- rbind(Fp,Lpt) + rownames(Fp)<- c(1:nrow(Fp)) + if(densplot){ + Temp <- density(DataV) + X <- matrix(Temp$x) + Y <- matrix(Temp$y) + Gdens <- cbind(X,Y) + } + else{ + Gdens <- list() + } + list(plotdata=list(histplot=Ghist,fpplot=list(Fp),densityplot=list(Gdens)), + breaks=Breaks,counts=Counts,density=Density,mids=Mids) +} + +Drwhistframe<-function(HistDataL) +{ + title<- HistDataL$title + xlab<- HistDataL$xlab + ylab<- HistDataL$ylab + if(mode(title)!="list") title<- list(title) + if(mode(xlab)!="list") cap<- list(xlab) + if(mode(ylab)!="list") cap<- list(ylab) + if(length(title)==0) title<- list("") + if(length(title)==1) title<- c(title, list("n")) + if(length(title)==2) title<- c(title, list("")) + if(length(xlab)==0) xlab<- list("") + if(length(xlab)==1) xlab<- c(xlab, list("n")) + if(length(xlab)==2) xlab<- c(xlab, list("")) + if(length(xlab)==3) xlab<- c(xlab, list(8)) + if(length(ylab)==0) ylab<- list("") + if(length(ylab)==1) ylab<- c(ylab, list("n")) + if(length(ylab)==2) ylab<- c(ylab, list("")) + if(nchar(title[[1]])>0){ + Fontsize(title[[2]]) + Tmp1<- title[[1]] + Tmp3<- title[[3]] + if(nchar(Tmp3)>0){ + Tmp1<- paste("{\\",Tmp3," ",Tmp1,"}",sep="") + } + Letter(c((XMIN+XMAX)/2,YMAX),"n2",Tmp1) + Fontsize("n") + } + if(nchar(xlab[[1]])>0){ + Fontsize(xlab[[2]]) + Tmp1<- xlab[[1]] + Tmp3<- xlab[[3]] + if(nchar(Tmp3)>0){ + Tmp1<- paste("{\\",Tmp3," ",Tmp1,"}",sep="") + } + Tmp4<- paste("s",as.character(xlab[[4]]),sep="") + Letter(c((XMIN+XMAX)/2,YMIN),Tmp4,Tmp1) + Fontsize("n") + } + if(nchar(ylab[[1]])>0){ + Fontsize(ylab[[2]]) + Tmp1<- ylab[[1]] + Tmp3<- ylab[[3]] + if(nchar(Tmp3)>0){ + Tmp1<- paste("{\\",Tmp3," ",Tmp1,"}",sep="") + } + Tmp<- Setorigin() + Letter(c(Tmp[1], YMAX),"n2",Tmp1) + Fontsize("n") + } + + Setax(2," ") + Setax(4," ") + Setax(6," ") +} + +Drwhistplot<- function(datav,var,size,freq=TRUE, + title=list(""), xlab=list(""), ylab=list(""), + plot=TRUE,densplot=FALSE,fpplot=TRUE,...) + #Output : title,xlab,ylab,commands,plotdata,info +{ + H <- Histplotdata(datav, size[2]/size[1], freq=freq,densplot=densplot,...) + Pd<- H$plotdata + Ghist <- list(histplot=Pd$histplot,densityplot=Pd$densityplot) # 10.12.07 + if(fpplot){ + Ghist<- c(Ghist,list(fpplot=Pd$fpplot)) + } + if(plot){ + Windisp(Ghist) + } + Tmp<- Formatting(size[1]/(XMAX-XMIN),5,5) + unit<- paste(Tmp,"cm",sep="") + Setunitlen(unit) + Infostr<- paste(var,"$info",sep="") + Brkstr<- paste(Infostr,"$breaks",sep="") + Midstr<- paste(Infostr,"$mids",sep="") + if(!freq){ + Digits<- ",2,2" + Denstr<- paste(Infostr,"$density",sep="") + } + else{ + Digits<- ",0,0" + Denstr<- paste(Infostr,"$counts",sep="") + } + + if(fpplot) Prefp<- "" else Prefp<- "#" + Exstr<- c( + "","", + paste("Beginpicture(","'",unit,"')",sep=""), + "","", + paste("Drwhistframe(",var,")",sep=""), + paste("HtickLV(",Midstr,",1,1)",sep=""), + paste("VtickLV(max(",Denstr,")",Digits,")",sep=""), + paste("Drwline(",var,"[['plotdata']]","$histplot)",sep=""), + paste(Prefp,"Dashline(",var,"[['plotdata']]","$fpplot)",sep=""), + paste("#Drwline(",var,"[['plotdata']]","$densityplot,2)",sep=""), + "","","","", + "Endpicture(1)" + ) + Exstr<- matrix(Exstr) + Info<- list(breaks=H$breaks,counts=H$counts,density=H$density,mids=H$mids, + window=matrix(c(XMIN,XMAX,YMIN,YMAX),nrow=2)) + Tmp<- paste(var,"<<- ", + "list(title=title,xlab=xlab,ylab=ylab,", + "commands=Exstr,plotdata=Ghist,info=Info)",sep="") + eval(parse(text=Tmp)) +} + +########################## +#17.09.30 + +Bezierpt<- function(t,Ptlist,Ctrlist){ + if(length(Ptlist)==6){ + P0=Ptlist[1:3] + P3=Ptlist[4:6] + P1=Ctrlist[1:3] + if(length(Ctrlist)==3){ + P2=P3 + flg3=0 + }else{ + P2=Ctrlist[4:6] + flg3=1 + } + }else{ + P0=Ptlist[1:2] + P3=Ptlist[3:4] + P1=Ctrlist[1:2] + if(length(Ctrlist)==2){ + P2=P3 + flg3=0 + }else{ + P2=Ctrlist[3:4] + flg3=1 + } + } + P4=(1-t)*P0+t*P1 + P5=(1-t)*P1+t*P2 + P6=(1-t)*P2+t*P3 + P7=(1-t)*P4+t*P5 + P8=(1-t)*P5+t*P6 + P9=(1-t)*P7+t*P8 + if(flg3==0){ + Out=P7 + }else{ + Out=P9 + } + return(Out) +} + +Bezier<- function(...){ + varargin<- list(...) + Nargs=length(varargin) + Ptlist=varargin[[1]] + Ctrlist=varargin[[2]] + Num=10 + for(J in Looprange(3,Nargs)){ + Tmp=varargin[[J]] + K=strsplit(Tmp,'=',fixe=TRUE) + K=K[[1]] + Tmp1=substring(K[1],1,1) + Lhs=toupper(Tmp1) + if(Lhs=="N"){ + Num=eval(parse(text=K[2])) + } + } + if(length(Num)==1){ + Num=rep(Num,length(Ctrlist)) #17.10.08 + } + Out=c() + for(ii in Looprange(1,length(Ctrlist))){ + Tmp1=c(Ptlist[[ii]],Ptlist[[ii+1]]) + Tmp2=Ctrlist[[ii]] + if(ii==1){ + St=0 + }else{ + St=1 + } + for(J in Looprange(St,Num[ii])){ + Tmp=Bezierpt(J/Num[ii],Tmp1,Tmp2) + Out=Appendrow(Out,Tmp) + } + } + return(Out) +} + +####################### +# 17.10.02 + +Connectseg<- function(...){ + varargin=list(...) + Nargs=length(varargin) + Pdata=varargin[[1]] + Eps=10^(-4) + if(Nargs>=2){ + Eps=varargin[[2]] + } + if(is.matrix(Pdata)){ + Din=Dataindex(Pdata) + tmp1=list() + for(J in 1:nrow(Din)){ + tmp=Pdata[Din[J,1]:Din[J,2],] + tmp1=c(tmp1,list(tmp)) + } + Pdata=tmp1 + } + PlotL=list(Op(1,Pdata)) + VI=Looprange(2,length(Pdata)) + while(length(VI)>0){ + Qd=Op(Length(PlotL),PlotL) + Ah=Op(1,Qd); Ao=Op(Length(Qd),Qd) + Flg=0 + for(J in 1:length(VI)){ + Tmp1=Op(VI[J],Pdata) + P=Op(1,Tmp1); Q=Op(Length(Tmp1),Tmp1) + if(Norm(P-Ao)<Eps){ + Tmp=Tmp1[Looprange(2,Length(Tmp1)),] + if(Length(Tmp)>0){ + Qd=Appendrow(Qd,Tmp) + } + PlotL[[length(PlotL)]]=Qd + VI=VI[-J] + Flg=1 + break + } + if(Norm(Q-Ao)<Eps){ + Tmp=Tmp1[(nrow(Tmp1)-1):1,] + Qd=Appendrow(Qd,Tmp) + PlotL[[length(PlotL)]]=Qd + VI=VI[-J] + Flg=1 + break + } + if(Norm(P-Ah)<Eps){ + Tmp=Tmp1[2:nrow(Tmp1),] + Qd=Appendrow(Tmp,Qd) + PlotL[[length(PlotL)]]=Qd + VI=VI[-J] + Flg=1 + break + } + if(Norm(Q-Ah)<Eps){ + Tmp=Tmp1[(nrow(Tmp1)-1):1,] + Qd=Appendrow(Tmp,Qd) + PlotL[[length(PlotL)]]=Qd + VI=VI[-J] + Flg=1 + break + } + } + if(Flg==0){ + PlotL=c(PlotL,Pdata[VI[1]]) + VI=VI[-1] + } + } + return(PlotL) +} + +Implicitplot<- function(...){ #180402 + varargin=list(...) + Eps=10^(-4) + Nargs=length(varargin) + Func=varargin[[1]] + Xrng=varargin[[2]] + Yrng=varargin[[3]] + Mdv=50;Ndv=50 + for (I in Looprange(4,length(varargin))){ + Str= varargin[[I]] + Tmp=strsplit(Str,"=",fixed=TRUE) + Tmp=Tmp[[1]] + Tmp1=toupper(Tmp[1]) + if(substring(Tmp1,1,1)=="N"){ + Mdv=eval(parse(text=Tmp[2])) + if(length(Mdv)==1){ + Ndv=Mdv + }else{ + Ndv=Mdv[2] + Mdv=Mdv[1] + } + } + } + Tmp=strsplit(Func,"=",fixed=TRUE) + Tmp=Tmp[[1]] + if(length(Tmp)==1){ + Fn=Func + }else{ + Fn=paste(Tmp[1],"-(",Tmp[2],")",sep="") + } + Tmp=strsplit(Xrng,"=",fixed=TRUE) + Tmp=Tmp[[1]] + Varx=Tmp[1] + Rngx=eval(parse(text=Tmp[2])) + Tmp=strsplit(Yrng,"=",fixed=TRUE) + Tmp=Tmp[[1]] + Vary=Tmp[1] + Rngy=eval(parse(text=Tmp[2])) + Tmp=paste("Impfun<- function(",Varx,",",Vary,"){",Fn,"}",sep="") + eval(parse(text=Tmp)) + dx=(Rngx[2]-Rngx[1])/Mdv + dy=(Rngy[2]-Rngy[1])/Ndv + out=list() + for(jj in 1:Ndv){ + yval1=Rngy[1]+(jj-1)*dy + yval2=Rngy[1]+jj*dy + xval1=Rngx[1] + eval11=Impfun(xval1,yval1) + eval12=Impfun(xval1,yval2) + for(ii in 1:Mdv){ + xval2=Rngx[1]+ii*dx + eval21=Impfun(xval2,yval1) + eval22=Impfun(xval2,yval2) + pL=list(c(xval1,yval1));vL=c(eval11) + pL=c(pL,list(c(xval2,yval1)));vL=c(vL,eval21) + pL=c(pL,list(c(xval2,yval2)));vL=c(vL,eval22) + pL=c(pL,list(c(xval1,yval2)));vL=c(vL,eval12) + pL=c(pL,list(c(xval1,yval1)));vL=c(vL,eval11) + qL=c() + for(kk in 1:4){ + if(abs(vL[kk])<=Eps){ + qL=Appendrow(qL,pL[[kk]]) + }else{ + if(vL[kk]>Eps){ + if(vL[kk+1]< -Eps){ + tmp=1/(vL[kk]-vL[kk+1])* + (-vL[kk+1]*pL[[kk]]+vL[kk]*pL[[kk+1]]) + qL=Appendrow(qL,tmp) + } + }else{ + if(vL[kk+1]>Eps){ + tmp=1/(-vL[kk]+vL[kk+1])* + (vL[kk+1]*pL[[kk]]-vL[kk]*pL[[kk+1]]) + qL=Appendrow(qL,tmp) + } + } + } + } + xval1=xval2 + eval11=eval21 + eval12=eval22 + if(Length(qL)==2){ + out=c(out,list(qL)) + } + } + } + if(length(out)>0){ + out=Connectseg(out) + } + if(length(out)==1){ + out=out[[1]] + } + return(out) +} + +######################### +# 17.10.06 + +Deqdata=function(deq,rng,initt,initf,Num){ + Eps=10^(-3) + inf=10^3 + tmp=strsplit(deq,"=")[[1]] + tmp1=gsub("`","",tmp[1],fixed=TRUE) + tmp1=substring(tmp1,3,nchar(tmp1)-1) + Xname=strsplit(tmp1,",")[[1]] + func=tmp[2] + for(J in 1:(length(Xname))){ + tmp1=paste("X[",as.character(J),"]",sep="") + func=gsub(Xname[J],tmp1,func,fixed=TRUE) + } + tmp=strsplit(rng,"=")[[1]] + tname=tmp[1] + tmp=eval(parse(text=tmp[2])) + t1=tmp[1] + t2=tmp[2] + tmp=paste("function(",tname,",X){",func,"}",sep="") + funP=eval(parse(text=tmp)) + tmp=paste("function(",tname,",X){-",func,"}",sep="") + funN=eval(parse(text=tmp)) + dt=(t2-t1)/Num + tt=initt + X0=initf + pdL=c(tt,X0) + for(J in Looprange(1,floor((t2-initt)/dt))){ + kl1=dt*funP(tt,X0) + kl2=dt*funP(tt+dt/2,X0+kl1/2) + kl3=dt*funP(tt+dt/2,X0+kl2/2) + kl4=dt*funP(tt+dt,X0+kl3) + X0=X0+(kl1+2*kl2+2*kl3+kl4)/6 + tt=initt+J*dt + tmp=c(tt,X0) + if(Norm(tmp)>inf){break} + pdL=Appendrow(pdL,tmp) + } + tt=initt + X0=initf + for(J in Looprange(1,floor((initt-t1)/dt))){ + kl1=dt*funN(tt,X0) + kl2=dt*funN(tt+dt/2,X0+kl1/2) + kl3=dt*funN(tt+dt/2,X0+kl2/2) + kl4=dt*funN(tt+dt,X0+kl3) + X0=X0+(kl1+2*kl2+2*kl3+kl4)/6 + tt=initt-J*dt + tmp=c(tt,X0) + if(Norm(tmp)>inf){break} + pdL=Appendrow(tmp,pdL) + } + pdL +} + +Deqplot=function(...){ + varargin=list(...) + deq=varargin[[1]] + rng=varargin[[2]] + initt=varargin[[3]] + initf=varargin[[4]] + Num=50 + Sel=c(1,2) + for(J in Looprange(5,length(varargin))){ + tmp1=varargin[[J]] + if(is.character(tmp1)){ + tmp=strsplit(tmp1,"=")[[1]] + Num=eval(parse(text=tmp[2])) + }else{ + SeL=tmp1 + } + } + pdL=Deqdata(deq,rng,initt,initf,Num) + pdL=pdL[,SeL] +} + + +############## obj ############### + +Openobj<- function(Fnm){ + OBJFMT<<- "%7.4f" + NPOINT<<- 0 + NNORM<<- 0 + OBJSCALE<<- 1 + OBJFIGNO<<- 0 + OBJJOIN<<- 0 + Wfile<<- Fnm + Tmp=grep(".obj",Fnm,fixed=TRUE) + if(length(Tmp)==0){ + if(nchar(Fnm)>0){ + Wfile<<- paste(Fnm,".obj",sep="") + } + } + cat("",file=Wfile,sep="") + Wfile +} + +Closeobj<- function(){ + Wfile="" +} + +Writeobjpoint<- function(P){ + X=sprintf(OBJFMT,P[1]*OBJSCALE) + Y=sprintf(OBJFMT,P[2]*OBJSCALE) + Z=sprintf(OBJFMT,P[3]*OBJSCALE) + Str=paste("v",X,Y,Z,sep=" ") + Printobjstr(Str) + NPOINT<<- NPOINT+1 + return(NPOINT) +} + +Printobjstr<- function(Str){ + cat(Str,"\n",sep="",file=Wfile,append=TRUE) +} + +Objname<- function(){ + if(OBJJOIN==0){ + OBJFIGNO<<- OBJFIGNO+1 + Gname=paste("ketfig",as.character(OBJFIGNO),sep="") + Printobjstr(paste("# ",Gname,sep="")) + Printobjstr(paste("g ",Gname,sep="")) + } +} + +Objjoin<- function(...){ + varargin=list() + if(length(varargin)>0){ + OBJJOIN<<- abs(sign(varargin[[1]])) + } + OBJJOIN +} + +Objsurf<- function(...){ #17.12.18 + Args<- list(...) + Nargs<- length(Args) + Sel=Args[[Nargs]]; Nargs=Nargs-1 + Rf=Args[[1]] + N=2 + Mg=0; Ng=0 + if(is.numeric(Args[[N]])){ + if(length(Args[[N]])>2){ + U=Args[[N]] + Mg=length(U)-1 + N=N+1 + }else if(length(Args[[N]])==2){ + Intab=Args[[N]] + Ag=Intab[1]; Bg=Intab[2] + N=N+1 + }else{ + Ag=Args[N]; Bg=Args[N+1] + N=N+2 + } + }else{ + Tmp0=Args[[N]] + Tmp=grep("=",Tmp0,fixed=TRUE) + if(length(Tmp)>0){ + Tmp1=strsplit(Tmp0,"=") + Tmp0=Tmp1[[1]][2] + } + Intab=eval(parse(text=Tmp0)) + Ag=Intab[1]; Bg=Intab[2] + N=N+1 + } + if(is.numeric(Args[[N]])){ + if(length(Args[[N]])>2){ + V=Args[[N]] + Ng=length(V)-1 + N=N+1 + }else if(length(Args[[N]])==2){ + Intab=Args[[N]] + Cg=Intab[1]; Dg=Intab[2] + N=N+1 + }else{ + Cg=Args[[N]]; Dg=Args[[N+1]] + N=N+2 + } + }else{ # the case of is.character(Args[[N]]) + Tmp0=Args[[N]] + Tmp=grep("=",Tmp0,fixed=TRUE) + if(length(Tmp)>0){ + Tmp2=strsplit(Tmp0,"=") + Tmp0=Tmp2[[1]][2] + } + Intab=eval(parse(text=Tmp0)) + Cg=Intab[1]; Dg=Intab[2] + N=N+1 + } + if(Mg==0){ + Mg=Args[[N]] + N=N+1 + U=c() + for(J in Looprange(1,Mg+1)){ + U=c(U,Ag+(J-1)/Mg*(Bg-Ag)) + } + } + if(Ng==0){ + Ng=Args[[N]] + V=c() + for(K in Looprange(1,Ng+1)){ + V=c(V,Cg+(K-1)/Ng*(Dg-Cg)) + } + } + Objname() + PL=list() + for(J in Looprange(1,Mg+1)){ + for(K in Looprange(1,Ng+1)){ + P=Rf(U[J],V[K]) + Np=Writeobjpoint(P) + PL=c(PL,list(c(P,Np))) + } + } + Idx=1+(Ng+1)*(0:Mg) + Pus=PL[Idx] + Idx=(Ng+1)*(1:(Mg+1)) + Pue=PL[Idx] + Idx=1:(Ng+1) + Pvs=PL[Idx] + Idx=((Ng+1)*Mg+1):((Ng+1)*(Mg+1)) + Pve=PL[Idx] + Printobjstr("vt 0 0") + Printobjstr("vt 1 0") + Printobjstr("vt 1 1") + Printobjstr("vt 0 1") + for(J in Looprange(1,Mg)){ + for(K in Looprange(1,Ng)){ + P1=sprintf("%1d",Op(4,PL[[(Ng+1)*(J-1)+K]])) + P2=sprintf("%1d",Op(4,PL[[(Ng+1)*J+K]])) + P3=sprintf("%1d",Op(4,PL[[(Ng+1)*J+K+1]])) + P4=sprintf("%1d",Op(4,PL[[(Ng+1)*(J-1)+K+1]])) + N1=""; N2=""; N3=""; N4="" + if(Sel=="+"){ + Str=paste("f ",P1,"/1/",N1," ",P2,"/2/",N2," ",sep="") + Str=paste(Str,P3,"/3/",N3," ",P4,"/4/",N4,sep="") + }else{ + Str=paste("f ",P1,"/1/",N1," ",P4,"/4/",N4," ",sep="") + Str=paste(Str,P3,"/3/",N3," ",P2,"/2/",N2,sep="") + } + Printobjstr(Str) + } + } + list(U,V,Pus,Pue,Pvs,Pve) +} + +Objthicksurf<- function(...){ + Args=list(...) + Nargs=length(Args) + Sel=Args[[Nargs]]; Nargs=Nargs-1 + Selsurf=substring(Sel,1,1) + Selside=c("0","0","0","0") + Tmp=grep("w",Sel,fixed=TRUE) + if(length(Tmp)>0){ + Selside[1]="w" + } + Tmp=grep("e",Sel,fixed=TRUE) + if(length(Tmp)>0){ + Selside[2]="e" + } + Tmp=grep("s",Sel,fixed=TRUE) + if(length(Tmp)>0){ + Selside[3]="s" + } + Tmp=grep("n",Sel,fixed=TRUE) + if(length(Tmp)>0){ + Selside[4]="n" + } + Nfth=Args[[Nargs-2]] + Thick1=Args[[Nargs-1]] + Thick2=Args[[Nargs]] + Nargs=Nargs-3 + Rfth=Args[[1]] + N=2 + Mg=0; Ng=0 + if(is.numeric(Args[[N]])){ + if(length(Args[[N]])>2){ + U=Args[[N]] + Mg=length(U)-1 + N=N+1 + }else if(length(Args[[N]])==2){ + Intab=Args[[N]] + Ag=Intab[1]; Bg=Intab[2] + N=N+1 + }else{ + Ag=Args[[N]]; Bg=Args[[N+1]] + N=N+2 + } + }else{ + Tmp0=Args[[N]] + Tmp=strsplit(Tmp0,"=",fixe=TRUE) + if(length(Tmp)>0){ + Tmp0=Tmp[[1]][2] + } + Intab=eval(parse(text=Tmp0)) + Ag=Intab[1]; Bg=Intab[2] + N=N+1 + } + if(is.numeric(Args[[N]])){ + if(length(Args[[N]])>2){ + V=Args[[N]] + Ng=length(V)-1 + N=N+1 + }else if(length(Args[[N]])==2){ + Intab=Args[[N]] + Cg=Intab[1]; Dg=Intab[2] + N=N+1 + }else{ + Cg=Args[[N]]; Dg=Args[[N+1]] + N=N+2 + } + }else{ + Tmp0=Args[[N]] + Tmp=strsplit(Tmp0,"=",fixed=TRUE) + if(length(Tmp)>0){ + Tmp0=Tmp[[1]][2] + } + Intab=eval(parse(text=Tmp0)) + Cg=Intab[1]; Dg=Intab[2] + N=N+1 + } + if(Mg==0){ + Mg=Args[[N]] + N=N+1 + U=c() + for(J in Looprange(1,Mg+1)){ + U=c(U,Ag+(J-1)/Mg*(Bg-Ag)) + } + } + if(Ng==0){ + Ng=Args[[N]] + V=c() + for(K in Looprange(1,Ng+1)){ + V=c(V,Cg+(K-1)/Ng*(Dg-Cg)) + } + } + Objname() + Join=OBJJOIN + OBJJOIN<<- 1 + F1=function(u,v){ + Rfth(u,v)+Thick1*Nfth(u,v) + } + F2=function(u,v){ + Rfth(u,v)+Thick2*Nfth(u,v) + } + Dt1=Objsurf(F1,U,V,Selsurf) + if(Selsurf=="+"){ + Tmp="-" + }else{ + Tmp="+" + } + Dt2=Objsurf(F2,U,V,Tmp); + Out=list(Dt1,Dt2); + + if(Selside[1]!="0"){ + Dt=Objrecs(Op(3,Dt1),Op(3,Dt2),Selside[1]) + Out=c(Out,list(Dt)) + } + if(Selside[2]!="0"){ + Dt=Objrecs(Op(4,Dt1),Op(4,Dt2),Selside[2]) + Out=c(Out,list(Dt)) + } + if(Selside[3]!="0"){ + Dt=Objrecs(Op(5,Dt1),Op(5,Dt2),Selside[3]) + Out=c(Out,list(Dt)) + } + if(Selside[4]!="0"){ + Dt=Objrecs(Op(6,Dt1),Op(6,Dt2),Selside[4]) + Out=c(Out,list(Dt)) + } + OBJJOIN<<- Join +} + +Objrecs<- function(...){ + Eps=10^(-6) + Args=list(...) + Nargs=length(Args) + Tmp=Args[[1]] + PtL=Flattenlist(Tmp) + for(J in Looprange(1,length(PtL))){ #17.12.23from + Tmp=PtL[[J]] + if(!is.matrix(Tmp)){ + PtL[[J]]=matrix(Tmp,nrow=1) + } + } #17.12.23until + PL1=list() + for(J in Looprange(1,length(PtL))){ + Tmp=PtL[[J]] + for(K in Looprange(1,nrow(Tmp))){ + PL1=c(PL1,list(Tmp[K,])) + } + } + Sel=Args[[Nargs]]; Nargs=Nargs-1 + Objname() + for(J in Looprange(1,length(PL1))){ + P=PL1[[J]] + if((length(P)<4) || (P[4]==0)){ + Np=Writeobjpoint(P) + PL1[[J]]=c(P[1:3],Np) + } + } + Tmp=Args[[2]] + if((is.numeric(Tmp)) && (length(Tmp)==1)){ + Drv=Tmp + Len=Norm(Drv) + PL2=list() + for(J in Looprange(1,length(PL1))){ + Tmp=PL1[[J]] + P=Tmp[1:3]+Drv + Np=Writeobjpoint(P) + PL2=c(PL2,list(c(P[1:3],Np))) + if(J<length(PL1)){ + Vec=PL1[[J+1]]-PL1[[J]] + if(Norm(Vec)>Eps){ + Tmp1=Crossprod(Drv,Vec) + Tmp2=Crossprod(Tmp1,Vec) + Tmp3=Dotprod(Tmp2,Drv) + if(Tmp3<-Eps){ + Tmp2=-Tmp2 + } + Drv=Len/Norm(Tmp2)*Tmp2 + } + } + } + }else{ + PtL=Flattenlist(Tmp) + for(J in Looprange(1,length(PtL))){ #17.12.23from + Tmp=PtL[[J]] + if(!is.matrix(Tmp)){ + PtL[[J]]=matrix(Tmp,nrow=1) + } + } #17.12.23until + PL2=list() + for(J in Looprange(1,length(PtL))){ + Tmp=PtL[[J]] + for(K in Looprange(1,nrow(Tmp))){ + PL2=c(PL2,list(Tmp[K,])) + } + } + for(J in Looprange(1,length(PL2))){ + P=PL2[[J]] + if((length(P)<4) || (P[4]==0)){ + Np=Writeobjpoint(P) + PL2[[J]]=c(P[1:3],Np) + } + } + } + Printobjstr("vt 0 0") + Printobjstr("vt 1 0") + Printobjstr("vt 1 1") + Printobjstr("vt 0 1") + for(J in Looprange(2,length(PL1))){ + P1=sprintf("%1d",Op(4,PL1[[J-1]])) + P2=sprintf("%1d",Op(4,PL2[[J-1]])) + P3=sprintf("%1d",Op(4,PL2[[J]])) + P4=sprintf("%1d",Op(4,PL1[[J]])) + N1=""; N2=""; N3=""; N4="" + if(Sel=="+"){ + Str=paste("f ",P1,"/1/",N1," ",P2,"/2/",N2," ",sep="") + Str=paste(Str,P3,"/3/",N3," ",P4,"/4/",N4,sep="") + }else{ + Str=paste("f ",P1,"/1/",N1," ",P4,"/4/",N4," ",sep="") + Str=paste(Str,P3,"/3/",N3," ",P2,"/2/",N2,sep="") + } + Printobjstr(Str) + } + list(PL1,PL2) +} + +Objpolygon<- function(...){ + Eps=10^(-6) + Args=list(...) + Nargs=length(Args) + Tmp=Args[[1]] + PtL=Flattenlist(Tmp) + for(J in Looprange(1,length(PtL))){ #17.12.23from + Tmp=PtL[[J]] + if(!is.matrix(Tmp)){ + PtL[[J]]=matrix(Tmp,nrow=1) + } + } #17.12.23until + PL=list() + for(J in Looprange(1,length(PtL))){ + Tmp=PtL[[J]] + for(K in Looprange(1,nrow(Tmp))){ + PL=c(PL,list(Tmp[K,])) + } + } + Sel=Args[[Nargs]]; Nargs=Nargs-1 + Objname() + for(J in Looprange(1,length(PL))){ + P=PL[[J]] + if((length(P)<4) || (P(4)==0)){ + Np=Writeobjpoint(P) + PL[[J]]=c(P[1:3],Np) + } + } + if(Nargs==1){ + Tmp=PL[[1]] + Cen=Tmp[1:3] + Nc=Tmp[4] + }else{ + Tmp=Args[[2]] + if(length(Tmp)==1){ + Tmp1=PL[[Tmp]] + Cen=Tmp1[1:3] + Nc=Tmp[4] + }else{ + Cen=Tmp + Nc=Writeobjpoint(Cen) + } + } + for(J in Looprange(1,length(PL))){ + if(J<length(PL)){ + Je=J+1 + }else{ + Je=1 + } + Pt1=Cen + PLj=PL[[J]]; PLje=PL[[Je]] + Pt2=PLj[1:3]; Pt3=PLje[1:3] + if(Norm(Crossprod(Pt2-Pt1,Pt3-Pt1))<Eps){ + next + } + P1=sprintf("%1d",Nc) + P2=sprintf("%1d",PLj[4]) + P3=sprintf("%1d",PLje[4]) + if(Sel=="+"){ + Str=paste("f",P1,P2,P3,"",sep=" ") + }else{ + Str=paste("f",P1,P3,P2,"",sep=" ") + } + Printobjstr(Str) + } + PL +} + +Objpolyhedron<- function(Vertex,Face){ + OBJFIGNO<<- OBJFIGNO+1 + Ninit=NPOINT + Objname() + for(N in Looprange(1,length(Vertex))){ + P=Vertex[[N]] + Np=Writeobjpoint(P) + Vertex[[N]]=c(P[1:3],Np) + } + for(N in Looprange(1,length(Face))){ + F=Face[[N]]+Ninit + Face[[N]]=F + Str="f" + for(J in Looprange(1,length(F))){ + P=sprintf("%1d",F[J]) + Str=paste(Str,P,sep=" ") + } + Printobjstr(Str) + } + list(Vertex,Face) +} + +Objcurve<- function(...){ + Eps=10^(-6) + Args=list(...) + Nargs=length(Args) + Tmp=Args[[1]] + PtL=Flattenlist(Tmp) + for(J in Looprange(1,length(PtL))){ #17.12.23from + Tmp=PtL[[J]] + if(!is.matrix(Tmp)){ + PtL[[J]]=matrix(Tmp,nrow=1) + } + } #17.12.23until + PL=list() + for(J in Looprange(1,length(PtL))){ + Tmp=PtL[[J]] + for(K in Looprange(1,nrow(Tmp))){ + PL=c(PL,list(Tmp[K,])) + } + } + Closed=Norm(PL[[length(PL)]]-PL[[1]])<Eps + Pstr="xy" + Tmp=Args[[Nargs]] + if(is.character(Tmp)){ + Pstr=Tmp + Nargs=Nargs-1 + } + Sz=0.1 + Np=4 + if(Nargs>=2){ + Sz=Args[[2]] + } + if(Nargs>=3){ + Np=Args[[3]] + } + Assign("Sz",Sz) + if(Pstr=="xy"){ + Vz=c(0,0,1) + Fs=Assign("c(Sz*cos(t),Sz*sin(t),0)") + } + if(Pstr=="yz"){ + Vz=c(1,0,0) + Fs=Assign("c(0,Sz*cos(t),Sz*sin(t))") + } + if(Pstr=="zx"){ + Vz=c(0,1,0) + Fs=Assign("c(Sz*sin(t),0,Sz*cos(t))") + } + Gc0=Spacecurve(Fs,"t=c(0,2*pi)",paste("Num=",as.character(Np),sep="")) + P=PL[[1]]; Q=PL[[2]]; R=PL[[length(PL)-1]] + PQ1=Q-P + if(!Closed){ + PQ2=PQ1 + }else{ + PQ2=P-R + } + Vp=PQ1/Norm(PQ1)+PQ2/Norm(PQ2) + Vp1=Vp/Norm(Vp) + Theta=acos(min(Dotprod(Vz,Vp1),1)); + Vj=Crossprod(Vz,Vp1) + if(Norm(Vj)<Eps){ + Vj=Vz + } + Gc1=Rotate3data(Gc0,Vj,Theta) + CL=list(Translate3data(Gc1,P)) + for(J in Looprange(2,length(PL)-1)){ + P=PL[[J]]; Q=PL[[J+1]] + PQ2=Q-P + if(Norm(PQ2)<Eps){ + next + } + Vp=PQ1/Norm(PQ1)+PQ2/Norm(PQ2) + Vp2=Vp/Norm(Vp) + Theta=acos(min(Dotprod(Vp1,Vp2),1)) + Vj=Crossprod(Vp1,Vp2) + if(Norm(Vj)<Eps){ + Vj=Vp1 + } + Gc2=Rotate3data(Gc1,Vj,Theta) + CL=c(CL,list(Translate3data(Gc2,P))) + PQ1=PQ2 + Vp1=Vp2 + Gc1=Gc2 + } + if(!Closed){ + Vp2=(Q-P)/Norm(Q-P) + Theta=acos(min(Dotprod(Vp1,Vp2),1)) + Vj=Crossprod(Vp1,Vp2) + if(Norm(Vj)<Eps){ + Vj=Vp1 + } + Gc3=Rotate3data(Gc1,Vj,Theta) + CL=c(CL,list(Translate3data(Gc3,Q))) + } + Objname() + Join=Objjoin(); + Objjoin(1) + GL1=CL[[1]] + for(J in Looprange(2,length(CL))){ + GL2=CL[[J]] + Dt=Objrecs(GL1,GL2,"-") + GL1=Dt[[2]] + if(J==2){ + GL0=Dt[[1]] + } + } + if(!Closed){ + Objpolygon(CL[[1]],"-") + N=length(CL) + Objpolygon(CL[[N]],"+") + }else{ + Objrecs(GL1,GL0,"-") + } + Out=CL + OBJJOIN<<- Join +} + +Objsymb<- function(Symb,Thick,Face,Dir){ + for(J in Looprange(1,length(Symb))){ + Objcurve(Op(J,Symb),Thick,Face,Dir) + } +} + +Symb3data<- function(Moji,Size,Kaiten,NV,Pos){ + if(is.character(Moji)){ + #Tmp=Symbdata(Moji) + # GY1=Tmp(2) + }else{ + GY1=Moji + } + GY1=Scaledata(GY1,Size,Size) + GY1=Rotatedata(GY1,Kaiten*pi/180) + A=NV[1]; B=NV[2]; C=NV[3] + if(A^2+B^2==0){ + E1=c(1,0,0) + E2=c(0,1,0) + }else{ + E1=c(B,-A,0) + E2=c(-A*C,-B*C,A^2+B^2) + Tmp=matrix(c(E1,E2,NV),3,3) + D=det(Tmp) + if(D<0){ + E1=-E1 + } + E1=E1/Norm(E1) + E2=E2/Norm(E2) + } + Em<- function(X,Y){ + c(E1[1]*X+E2[1]*Y,E1[2]*X+E2[2]*Y,E1[3]*X+E2[3]*Y) + } + GY1=Embed(GY1,Em) + GY1=Translate3data(GY1,Pos) + Flattenlist(GY1) +} + +############## New Intersect 18.02.01 ############# + +Intersectline<- function(p1,v1,p2,v2){ + Eps0=10^(-5) + tmp=Dotprod(v1,v2) + tmp1=c(tmp,Norm(v1)^2) + tmp2=c(-Norm(v2)^2,-tmp) + tmp3=c(Dotprod(p2-p1,v2),Dotprod(p2-p1,v1)) + d=Crossprod(tmp1,tmp2) + tmp=abs(Crossprod(v1,v2)) + if(tmp>Eps0){ + dt=Crossprod(tmp3,tmp2) + ds=Crossprod(tmp1,tmp3) + t=dt/d + s=ds/d + pt=p1+v1*t + out=list(pt,t,s) + }else{ + tmp1=Crossprod(p2-p1,v1)/Norm(v1) + out=list(abs(tmp1)) + } + return(out) +} + +Intersectseg<- function(...){ + varargin=list(...) + Nargs=length(varargin) + Eps0=10^(-4) + Eps1=0.01 + seg1=varargin[[1]] + seg2=varargin[[2]] + if(Nargs>2){Eps1=varargin[[3]]} + p1=Op(1,seg1); q1=Op(2,seg1) + p2=Op(1,seg2); q2=Op(2,seg2) + if((Norm(q1-p1)<Eps0)||(Norm(q2-p2)<Eps0)){ + out=list(-1) + }else{ + tmp=Intersectline(p1,q1-p1,p2,q2-p2) + if(length(Op(1,tmp))>1){ + pt=Op(1,tmp); t=Op(2,tmp); s=Op(3,tmp) + if((t*(t-1)<Eps0)&&(s*(s-1)<Eps0)){ + out=list(0,pt,t,s) + }else{ + t=min(max(t,0),1) + s=min(max(s,0),1) + tmp3=c(Norm(p1-p2),Norm(p1-q2),Norm(q1-p2),Norm(q1-q2)) #180317 + tmp1=c(Op(2,q2-p2),-Op(1,q2-p2)) + tmp=Intersectline(p1,tmp1,p2,q2-p2) + if(length(Op(1,tmp))>1){ + if(Op(3,tmp)*(Op(3,tmp)-1)<Eps0){ + tmp3=c(tmp3,Norm(Op(1,tmp)-p1)) + } + } + tmp=Intersectline(q1,tmp1,p2,q2-p2) + if(length(Op(1,tmp))>1){ + if(Op(3,tmp)*(Op(3,tmp)-1)<Eps0){ + tmp3=c(tmp3,Norm(Op(1,tmp)-q1)) + } + } + tmp1=c(Op(2,q1-p1),-Op(1,q1-p1)) + tmp=Intersectline(p2,tmp1,p1,q1-p1); + if(length(Op(1,tmp))>1){ + if(Op(3,tmp)*(Op(3,tmp)-1)<Eps0){ + tmp3=c(tmp3,Norm(Op(1,tmp)-p2)) + } + } + tmp=Intersectline(q2,tmp1,p1,q1-p1); #180322 + if(length(Op(1,tmp))>1){ + if(Op(3,tmp)*(Op(3,tmp)-1)<Eps0){ + tmp3=c(tmp3,Norm(Op(1,tmp)-q2)) + } + } + out=list(min(tmp3),pt,t,s) + } + }else{ + dist=tmp[[1]] + tmp1=q1-p1 + n=c(tmp1[2],-tmp1[1])/Norm(tmp1) + pts=list() + tmp=Intersectline(p1,n,p2,q2-p2) + if((length(tmp)>1)&&(tmp[[3]]*(tmp[[3]]-1)<Eps0)){ + tmp1=(1-tmp[[3]])*p2+tmp[[3]]*q2 + pts=c(pts,list(list(tmp1,0,tmp[[3]]))) + } + tmp=Intersectline(q1,n,p2,q2-p2) + if((length(tmp)>1)&&(tmp[[3]]*(tmp[[3]]-1)<Eps0)){ + tmp1=(1-tmp[[3]])*p2+tmp[[3]]*q2 + pts=c(pts,list(list(tmp1,1,tmp[[3]]))) + } + tmp=Intersectline(p2,n,p1,q1-p1) + if((length(tmp)>1)&&(tmp[[3]]*(tmp[[3]]-1)<Eps0)){ + tmp1=(1-tmp[[3]])*p1+tmp[[3]]*q1 + pts=c(pts,list(list(tmp1,tmp[[3]],0))) + } + if((length(tmp)>1)&&(tmp[[3]]*(tmp[[3]]-1)<Eps0)){ + tmp1=(1-tmp[[3]])*p1+tmp[[3]]*q1 + pts=c(pts,list(list(tmp1,tmp[[3]],2))) + } + if(length(pts)==0){ + tmp1=min(Norm(p2-p1),Norm(q2-p1),Norm(p2-q1),Norm(q2-q1)) + out=list(tmp1) + }else{ + if(dist>Eps1){ + out=list(dist) + }else{ + tmp=c(); + for(j in 1:length(pts)){ + tmp=Appendrow(tmp,Op(1,pts[[j]])) + } + tmp1=sum(tmp[,1])/(length(pts)) + tmp2=sum(tmp[,2])/(length(pts)) + tmp3=c(tmp1,tmp2) + tmp=Nearestpt(tmp3,seg1) + tmp1=tmp[[2]] + tmp=Nearestpt(tmp3,seg2) + tmp2=tmp[[2]] + out=list(dist,tmp3,tmp1,tmp2) + } + } + } + } + return(out) +} + +Osplineseg<- function(...){ + varargin=list(...) + Nargs=length(varargin) + Eps=10^(-2) + Eps0=10^(-6) + Ptlist=varargin[[1]] + Numstr="Num=20" + if(Nargs>1){ + Numstr=varargin[[2]] + } + p0=Op(1,Ptlist); p1=Op(2,Ptlist); p2=Op(3,Ptlist); p3=Op(4,Ptlist) + tmp=Norm(p2-p0)*Norm(p3-p1) + tmp=1+sqrt((1+Dotprod(p2-p0,p3-p1)/tmp)/2) + cc=4*Norm(p2-p1)/3/(Norm(p2-p0)+Norm(p3-p1))/tmp + pQ=p1+cc*(p2-p0) + pR=p2+cc*(p1-p3) + ctrL=list(c(pQ,pR)) + out=Bezier(list(p1,p2),ctrL,Numstr) + return(out) +} + +Intersectpartseg<- function(...){ + varargin=list(...) + Nargs=length(varargin) + crv1=varargin[[1]] + crv2=varargin[[2]] + ii=varargin[[3]] + jj=varargin[[4]] + Eps1=varargin[[5]] + Eps2=varargin[[6]] + Dist=10*Eps2 + if(Nargs>6){Dist=varargin[[7]]} + Eps00=10^(-8) + Eps0=10^(-4) + out=list() + seg1=Listplot(Op(ii,crv1),Op(ii+1,crv1)) + seg2=Listplot(Op(jj,crv2),Op(jj+1,crv2)) + tmp1=Op(2,seg1)-Op(1,seg1) + tmp2=Op(2,seg2)-Op(1,seg2) + snang=abs(Crossprod(tmp1,tmp2))/(Norm(tmp1)*Norm(tmp2)) + tmp=Intersectseg(seg1,seg2,Eps1) + dst=Op(1,tmp) + if(dst<Eps0){ + out=list(Op(2,tmp),ii+Op(3,tmp),jj+Op(4,tmp),dst,snang) + }else{ + if(dst<Eps2){ + if((Length(crv1)==2)||(Norm(Op(2,seg1)-Op(1,seg1))>Dist-Eps0)){ + os1=seg1 + }else{ + p1=Op(1,seg1); p2=Op(2,seg1) + if(ii==1){ + p3=Op(3,crv1) + tmp=p2-p1 + tmp=(p1+p2)/2+c(Op(2,tmp),-Op(1,tmp)) + p0=Reflectdata(p3,c((p1+p2)/2,tmp)) + }else{ + if(ii==Length(crv1)-1){ + p0=Op(ii-1,crv1) + tmp=p2-p1 + tmp=(p1+p2)/2+c(Op(2,tmp),-Op(1,tmp)) + p3=Reflectdata(p0,c((p1+p2)/2,tmp)) + }else{ + p0=Op(ii-1,crv1); p3=Op(ii+2,crv1) + } + } + os1=Osplineseg(list(p0,p1,p2,p3)) + } + if((Length(crv2)==2)||(Norm(Op(2,seg2)-Op(1,seg2))>Dist-Eps0)){ + os2=seg2 + }else{ + p1=Op(1,seg2); p2=Op(2,seg2) + if(jj==1){ + p3=Op(3,crv2) + tmp=p2-p1 + tmp=(p1+p2)/2+c(Op(2,tmp),-Op(1,tmp)) + p0=Reflectdata(p3,c((p1+p2)/2,tmp)) + }else{ + if(jj==Length(crv2)-1){ + p0=Op(jj-1,crv2) + tmp=p2-p1 + tmp=(p1+p2)/2+c(Op(2,tmp),-Op(1,tmp)) + p3=Reflectdata(p0,c((p1+p2)/2,tmp)) + }else{ + p0=Op(jj-1,crv2); p3=Op(jj+2,crv2) + } + } + os2=Osplineseg(list(p0,p1,p2,p3)) + } + tmp2=list() + for(kk in Looprange(1,Length(os1)-1)){ + for(ll in Looprange(1,Length(os2)-1)){ + seg1=Listplot(Op(kk,os1),Op(kk+1,os1)) + seg2=Listplot(Op(ll,os2),Op(ll+1,os2)) + tmp=Intersectseg(seg1,seg2,Eps1) + if((Op(1,tmp)<Eps1)&&(length(tmp)>1)){ #18.02.05 + if(Op(1,tmp)<dst+Eps00){ + dst=Op(1,tmp) + tmp3=list() + for( nn in Looprange(1,length(tmp2))){ + if(Op(1,tmp2[[nn]])<dst){ + tmp3=c(tmp3,list(tmp2[[nn]])) + } + } + tmp2=c(tmp3,list(list(dst,Op(2,tmp)))) + } + } + } + } + if(length(tmp2)>0){ + tmp1=c() + for(nn in Looprange(1,length(tmp2))){ + tmp1=Appendrow(tmp1,Op(2,tmp2[[nn]])) + } + tmp=sum(tmp1[,1])/length(tmp2) + tmp=c(tmp,sum(tmp1[,2])/length(tmp2)) + out=list(tmp) + p1=Op(ii,crv1); p2=Op(ii+1,crv1) + tmp=c(Op(2,p2-p1),-Op(1,p2-p1)) + tmp=Intersectline(Op(1,out),tmp,p1,p2-p1) + tmp=min(max(Op(3,tmp),0),1) + out=c(out,list(ii+tmp)) + p1=Op(jj,crv2); p2=Op(jj+1,crv2) + tmp=c(Op(2,p2-p1),-Op(1,p2-p1)) + tmp=Intersectline(Op(1,out),tmp,p1,p2-p1) + tmp=min(max(Op(3,tmp),0),1) + out=c(out,list(jj+tmp,dst,snang)) + } + } + } + return(out) +} + +if(1==0){ #start of skip + +Collectnear<- function(ptdL,Eps2){ + gL=list(Op(1,ptdL)) + rL=ptdL[Looprange(2,length(ptdL))] #18.02.07 + for( ii in Looprange(1,length(ptdL)-1)){ + numL=c() + for(jj in Looprange(1,length(rL))){ + tmp1=100 + for(kk in Looprange(1,length(gL))){ + tmp=Norm(Op(1,gL[[kk]])-Op(1,rL[[jj]])) + if(tmp<tmp1){tmp1=tmp} + } + if(tmp1<Eps2){numL=c(numL,jj)} + } + if(length(numL)==0){ + break + }else{ + gL=c(gL,rL[numL]) #18.02.05 + tmp=setdiff(1:(length(rL)),numL) + rL=rL[tmp] + } + } + return(list(gL,rL)) +} + +}# end of skip + +Collectsameseg<- function(ptdL){ + Eps00=10^(-8) + if(length(ptdL)==0){ + gL=list();rL=list() + }else{ + tmp1md=ptdL[1] + rL=ptdL[Looprange(2,length(ptdL))] + tmp1=tmp1md[[1]] + kk=floor(Op(2,tmp1)) + if(Op(2,tmp1)<kk+Eps00){ + s1=kk-1-Eps00; e1=s1+2+2*Eps00 + }else{ + s1=kk-Eps00; e1=s1+1+2*Eps00 + } + kk=floor(Op(3,tmp1)) + if(Op(3,tmp1)<kk+Eps00){ + s2=kk-1-Eps00; e2=s2+2+2*Eps00 + }else{ + s2=kk-Eps00; e2=s2+1+2*Eps00 + } + diffL=c() + for(ii in Looprange(1,length(rL))){ + tmp=rL[[ii]] + tmp1=Op(2,tmp);tmp2=Op(3,tmp) + if((tmp1>s1)&&(tmp1<e1)&&(tmp2>s2)&&(tmp2<e2)){ + tmp1md=c(tmp1md,list(tmp)) + }else{ + diffL=c(diffL,ii) + } + } + tmp=c() + for(ii in Looprange(1,length(tmp1md))){ + tmp=c(tmp,Op(4,tmp1md[[ii]])) + } + dst=min(tmp) + gL=list() + for(ii in Looprange(1,length(tmp1md))){ + tmp=tmp1md[[ii]] + if(Op(4,tmp)<dst+Eps00){ + gL=c(gL,list(tmp)) + } + } + tmp1=rL + rL=rL[diffL] + } + return(list(gL,rL)) +} + +Groupnearpt<- function(...){ + varargin=list(...) + Nargs=length(varargin) + Eps1=varargin[[Nargs]] + plist=varargin[[1]] + qlist=varargin[[2]] + if(!is.list(qlist)){ + qlist=plist + plist=list() + } + if(length(qlist)==0){ + return(plist) + } + pt=qlist[[1]] + qlist=qlist[Looprange(2,length(qlist))] + if(length(plist)==0){ + plist=list(matrix(pt,nrow=1)) + }else{ + flg=0 + for(ii in Looprange(1,length(plist))){ + gL=plist[[ii]] + for(jj in Looprange(1,Length(gL))){ + if(Norm(Op(jj,gL)-pt)<Eps1){ + flg=1 + break + } + } + if(flg==1){ + plist[[ii]]=Appendrow(gL,pt) + break + } + } + if(flg==0){ + plist=c(plist,list(matrix(pt,nrow=1))) + } + } + out=Groupnearpt(plist,qlist,Eps1) + return(out) +} + +IntersectcurvesPp<- function(...){ + varargin=list(...) + Nargs=length(varargin) + Eps0=10^(-4) + Eps1=0.01 +# Eps2=0.05 + Eps2=0.1 + Dist=10*Eps2 + if(Nargs>2){Eps1=varargin[[3]]} + if(Nargs>3){Eps2=varargin[[4]]} + if(Nargs>4){Dist=varargin[[5]]} + tmp1=varargin[[1]] + crv1=matrix(Op(1,tmp1),nrow=1) + for(ii in Looprange(2,Length(tmp1))){ + tmp=Op(Length(crv1),crv1) + if(Norm(tmp-Op(ii,tmp1))>Eps0){ + crv1=Appendrow(crv1,Op(ii,tmp1)) + } + } + tmp2=varargin[[2]] + crv2=matrix(Op(1,tmp2),nrow=1) + for(ii in Looprange(2,Length(tmp2))){ + tmp=Op(Length(crv2),crv2) + if(Norm(tmp-Op(ii,tmp2))>Eps0){ + crv2=Appendrow(crv2,Op(ii,tmp2)) + } + } + if(Length(crv1)!=Length(crv2)){ + self=0 + }else{ + self=1 + for(ii in Looprange(1,Length(crv1))){ + if(Norm(Op(ii,crv1)-Op(ii,crv2))>0){ + self=0 + break + } + } + } + out=list() + for(ii in Looprange(1,Length(crv1)-1)){ + if(self==0){ + loopL=Looprange(1,Length(crv2)-1) + }else{ + loopL=Looprange(ii+2,Length(crv2)-1) + } + for(jj in loopL){ + tmp=Intersectpartseg(crv1,crv2,ii,jj,Eps1,Eps2,Dist) + if(length(tmp)>1){ #18.02.05 + if(length(out)==0){ + out=list(tmp) + }else{ + tmp1=Op(length(out),out) + if(Norm(Op(1,tmp1)-Op(1,tmp))>Eps1){ + out=c(out,list(tmp)) + } + } + if(self==1){ + tmp=list(Op(1,tmp),Op(3,tmp),Op(2,tmp),Op(4,tmp),Op(5,tmp)) + out=c(out,list(tmp)) + } + } + } + } + tmp2=out + out=list() + tmp1=tmp2 + for(ii in Looprange(1,length(tmp2))){ + tmp=Collectsameseg(tmp1) + out=c(out,list(Op(1,tmp))) + if(length(Op(2,tmp))==0){ + break + }else{ + tmp1=Op(2,tmp) + } + } + for(ii in Looprange(1,length(out))){ + tmp1=Op(ii,out) + if(length(tmp1)==1){ + out[[ii]]=Op(1,tmp1) + }else{ + tmp=c() + for(jj in Looprange(1,length(tmp1))){ + tmp=c(tmp,Op(4,tmp1[[jj]])) + } + dst=min(tmp) + tmp=c() + for(jj in Looprange(1,length(tmp1))){ + if(Op(4,tmp1[[jj]])<dst+Eps0){ + tmp=c(tmp,Op(1,tmp1[[jj]])) + } + } + tmp=matrix(tmp,ncol=2,byrow=TRUE) + tmp=c(sum(tmp[,1]),sum(tmp[,2]))/Length(tmp) + tmp2=list(tmp) + tmp=Nearestpt(Op(1,tmp2),crv1) + tmp2=c(tmp2,list(Op(2,tmp))) + tmp=Nearestpt(Op(1,tmp2),crv2) + tmp2=c(tmp2,list(Op(2,tmp))) + tmp2=c(tmp2,list(list(dst,Op(5,tmp1[[1]])))) + out[[ii]]=tmp2 + } + } + return(out) +} + +Intersectcurves<- function(...){ + dtL=IntersectcurvesPp(...) + out=list() + for(jj in Looprange(1,length(dtL))){ + out=c(out,list(Op(1,dtL[[jj]]))) + } + return(out) +} + +############## end of New Intersect ############# + +############## New Enclosing2 ############# + +Enclosing2<- function(...){ + varargin=list(...) + Nargs=length(varargin) + plist=varargin[[1]] + Eps0=10^(-5) + Eps1=0.01 + Eps2=0.1 + Start=c() + flg=0 + for(ii in Looprange(2,Nargs)){ + tmp=varargin[[ii]] + if(length(tmp)>1){ +# Start=tmp + }else{ + if(flg==0){Eps1=tmp} + if(flg==1){Eps2=tmp} + flg=flg+1 + } + } + flg=0 + AnsL=c() + if(length(plist)==1){ + Fdata=plist[[1]] + tmp1=Op(1,Fdata) + tmp2=Op(Length(Fdata),Fdata) + if(Norm(tmp1-tmp2)<Eps0){ + AnsL=Fdata + }else{ + AnsL=Appendrow(Fdata,tmp1) + } + flg=1 + } + if(flg==0){ + Fdata=Op(1,plist) + Gdata=Op(length(plist),plist) + KL=IntersectcurvesPp(Fdata,Gdata) + if(length(KL)==0){ + tmp1=Op(Length(Gdata),Gdata) + tmp2=Op(1,Fdata) + tmp=Listplot(tmp1,tmp2) + plist=c(plist,list(tmp)) + Start=tmp2 + tst=1 +# flg=1 + }else{ + if(length(KL)==1){ + tmp=Op(1,KL) + tst=Op(2,tmp) + Start=crv(tst,Fdata) + } + if(length(KL)>1){ + KL=Quicksort(KL,2) + if(length(Start)==0){ + tmp=Op(1,KL) + tst=Op(2,tmp) + Start=Pointoncurve(tst,Fdata) + }else{ + tmp=c() + for(ii in Looprange(1,length(KL))){ + tmp=c(tmp,Norm(Op(1,KL[[ii]]-Start))) + } + tmp=min(tmp) + tmp1=list() + for(ii in Looprange(1,length(KL))){ + tmp2=Op(1,KL[[ii]]) + if(Norm(tmp2-Start)==tmp){ + tmp1=c(tmp1,list(tmp2)) + } + } + tmp=Op(1,tmp1) + tst=Op(2,tmp) + Start=Pointoncurve(tst,Fdata) + } + } + } + } + if(flg==0){ + t1=tst + for(nn in Looprange(1,length(plist))){ + Fdata=Op(nn,plist) + if(nn==length(plist)){ + nxtno=1 + }else{ + nxtno=nn+1 + } + Gdata=Op(nxtno,plist) + KL=IntersectcurvesPp(Fdata,Gdata) + if(length(KL)==0){ + tmp=matrix(Op(Length(Fdata),Fdata),nrow=1) #18.02.02from + Gdata=Appendrow(tmp,Gdata) + plist[[nxtno]]=Gdata + t2=Length(Fdata) + ss=1 #18.02.02until + }else{ + tmp=Op(1,KL) + t2=Op(2,tmp) + ss=Op(3,tmp) + if(abs(t2-t1)<Eps0){ + if(length(KL)>1){ + tmp=Op(2,KL) + t2=Op(2,tmp) + ss=Op(3,tmp) + }else{ +# println(text(nn)+" and "+text(nn+1)+" not intersect"); +# flg=1 + } + } + } + if(flg==0){ + tmp=Partcrv(t1,t2,Fdata) + if(nn==1){ + AnsL=tmp + }else{ + tmp=tmp[2:Length(tmp),] + AnsL=Appendrow(AnsL,tmp) + } + t1=ss + } + } + } + return(AnsL) +} + +############## end of Enclosing2 ############# + +############## start of surface drawing ############# + +Fullformfunc<- function(FdL){ + ADDPOINT<<- list() #18.02.19 + Out=list(Op(1,FdL)) + N=length(FdL) + for(Jrg in Looprange(1,N)){ + Tmp=grep("c(",Op(Jrg,FdL),fixed=TRUE) + if(length(Tmp)>0){ + break + } + } + Urg=Stripblanks(Op(Jrg,FdL)) + Tmp=strsplit(Urg,"=",fixed=TRUE) + UNAME<<- Tmp[[1]][1] + URNG<<- eval(parse(text=Tmp[[1]][2])) + Urg=paste(UNAME,"=c(",sprintf("%6.7f",URNG[1]),",", + sprintf("%6.7f",URNG[2]),")",sep="") + Vrg=Stripblanks(Op(Jrg+1,FdL)) + Tmp=strsplit(Vrg,"=",fixed=TRUE) + VNAME<<- Tmp[[1]][1] + VRNG<<- eval(parse(text=Tmp[[1]][2])) + Vrg=paste(VNAME,"=c(",sprintf("%6.7f",VRNG[1]),",", + sprintf("%6.7f",VRNG[2]),")",sep="") + if(Jrg==2){ + Xf=UNAME + Yf=VNAME + Tmp=Stripblanks(Op(1,FdL)) + Tmp=strsplit(Tmp,"=",fixed=TRUE) + Zf=Tmp[[1]][2] + Tmp=list(UNAME,VNAME,Zf,Urg,Vrg) + Out=c(Out,Tmp) + }else if(Jrg==4){ + Tmp=Stripblanks(Op(1,FdL)) + Tmp=strsplit(Tmp,"=",fixed=TRUE) + Zf=Tmp[[1]][2] + Tmp=Stripblanks(Op(2,FdL)) + Tmp=strsplit(Tmp,"=",fixed=TRUE) + Xname=Tmp[[1]][1] + Xf=Tmp[[1]][2] + Tmp=Stripblanks(Op(3,FdL)) + Tmp=strsplit(Tmp,"=",fixed=TRUE) + Yname=Tmp[[1]][1] + Yf=Tmp[[1]][2] + Tmp=gsub(Xname,paste("(",Xf,")",sep=""),Zf,fixed=TRUE) + Zf=gsub(Yname,paste("(",Yf,")",sep=""),Tmp,fixed=TRUE) + Tmp=list(Xf,Yf,Zf,Urg,Vrg) + Out=c(Out,Tmp) + }else{ + Tmp=Stripblanks(Op(2,FdL)) + Tmp=strsplit(Tmp,"=",fixed=TRUE) + Xf=Tmp[[1]][2] + Tmp=Stripblanks(Op(3,FdL)) + Tmp=strsplit(Tmp,"=",fixed=TRUE) + Yf=Tmp[[1]][2] + Tmp=Stripblanks(Op(4,FdL)) + Tmp=strsplit(Tmp,"=",fixed=TRUE) + Zf=Tmp[[1]][2] + Tmp=list(Xf,Yf,Zf,Urg,Vrg) + Out=c(Out,Tmp) + } + tmp=paste("Xfunc<<- function(",UNAME,",",VNAME,"){",Xf,"}",sep='') + eval(parse(text=tmp)) + tmp=paste("Yfunc<<- function(",UNAME,",",VNAME,"){",Yf,"}",sep='') + eval(parse(text=tmp)) + tmp=paste("Zfunc<<- function(",UNAME,",",VNAME,"){",Zf,"}",sep='') + eval(parse(text=tmp)) + tmp=paste("XYZfunc<<- function(",UNAME,",",VNAME,"){",sep='') + tmp=paste(tmp,"c(",Xf,",",Yf,",",Zf,")}",sep='') + eval(parse(text=tmp)) + XYZstr<<- c(Xf,Yf,Zf) + DRWS<<- "enws" + BdyL=list() + for(I in Looprange(Jrg+2,length(FdL))){ + Tmp=Op(I,FdL) + if(is.character(Tmp)){ + if(nchar(Tmp)==0){ + Tmp=" " + } + DRWS<<- list(Tmp) + } + if((is.numeric(Tmp))&&(Length(Tmp)>1)){ + BdyL=list(Tmp) + } + } + BDYL<<- BdyL + Tmp=c(DRWS,BDYL) + Out=c(Out,Tmp) + return(Out) +} + +Addpoints<- function(ptlist){ + ADDPOINT<<- ptlist +} + +Makexybdy<- function(Np){ + Eps0=10^(-4) + Xystr=XYZstr[1:2] + Umin=URNG[1]; Umax=URNG[2] + Vmin=VRNG[1]; Vmax=VRNG[2] + Cflg=0 + EhL=list() + Tmp=grep("e",DRWS,fixed=TRUE) + if(length(Tmp)>0){ + Tmp1="c(" + for(jj in 1:2){ + Tmp=gsub(UNAME,paste("(",sprintf("%7.7f",Umax),")",sep=""),Xystr[jj]) + Tmp1=paste(Tmp1,Tmp,",",sep="") + } + Tmp=substring(Tmp1,1,Length(Tmp1)-1) + Tmp1=paste(Tmp,")",sep="") + Tmp=sprintf("%6.6f",VRNG) + Tmp2=paste(VNAME,"=c(",Tmp[1],",",Tmp[2],")",sep='') + Tmp3=paste('N=',as.character(Np[2])) + Tmp=Paramplot(Tmp1,Tmp2,Tmp3) + if(Norm(Op(1,Tmp)-Op(Length(Tmp),Tmp))<Eps0){ + Cflg=1 + Tmp[Length(Tmp),]=Tmp[1,] + } + EhL=c(EhL,list(Tmp)) + } + Tmp=grep("n",DRWS,fixed=TRUE) + if(length(Tmp)>0){ + Tmp1="c(" + for(jj in 1:2){ + Tmp=gsub(VNAME,paste("(",sprintf("%7.7f",Vmax),")",sep=""),Xystr[jj]) + Tmp1=paste(Tmp1,Tmp,",",sep="") + } + Tmp=substring(Tmp1,1,Length(Tmp1)-1) + Tmp1=paste(Tmp,")",sep="") + Tmp=sprintf("%6.6f",URNG) + Tmp2=paste(UNAME,"=c(",Tmp[1],",",Tmp[2],")",sep='') + Tmp3=paste('N=',as.character(Np[1])) + Tmp=Paramplot(Tmp1,Tmp2,Tmp3) + if(Cflg>0){ + Tmp1=Op(length(EhL),EhL) + Tmp=Joincrvs(Tmp1,Tmp) + if(Norm(Op(1,Tmp)-Op(Length(Tmp),Tmp))<Eps0){ + Cflg=1 + Tmp[Length(Tmp),]=Tmp[1,] + } + Tmp1=EhL[Looprange(1,length(EhL)-1)] + EhL=c(Tmp1,Tmp) + }else{ + Cflg=0 + if(Norm(Op(1,Tmp)-Op(Length(Tmp),Tmp))<Eps0){ + Cflg=1 + Tmp[Length(Tmp),]=Tmp[1,] + } + EhL=c(EhL,list(Tmp)) + } + } + Tmp=grep("w",DRWS,fixed=TRUE) + if(length(Tmp)>0){ + Tmp1="c(" + for(jj in 1:2){ + Tmp=gsub(UNAME,paste("(",sprintf("%7.7f",Umin),")",sep=""),Xystr[jj]) + Tmp1=paste(Tmp1,Tmp,",",sep="") + } + Tmp=substring(Tmp1,1,Length(Tmp1)-1) + Tmp1=paste(Tmp,")",sep="") + Tmp=sprintf("%6.6f",VRNG) + Tmp2=paste(VNAME,"=c(",Tmp[1],",",Tmp[2],")",sep='') + Tmp3=paste('N=',as.character(Np[2])) + Tmp=Paramplot(Tmp1,Tmp2,Tmp3) + if(Cflg>0){ + Tmp1=Op(length(EhL),EhL) + Tmp=Joincrvs(Tmp1,Tmp) + if(Norm(Op(1,Tmp)-Op(Length(Tmp),Tmp))<Eps0){ + Cflg=1 + Tmp[Length(Tmp),]=Tmp[1,] + } + Tmp1=EhL[Looprange(1,length(EhL)-1)] + EhL=c(Tmp1,list(Tmp)) + }else{ + Cflg=0 + if(Norm(Op(1,Tmp)-Op(Length(Tmp),Tmp))<Eps0){ + Cflg=1 + Tmp[Length(Tmp),]=Tmp[1,] + } + EhL=c(EhL,list(Tmp)) + } + } + Tmp=grep("s",DRWS,fixed=TRUE) + if(length(Tmp)>0){ + Tmp1="c(" + for(jj in 1:2){ + Tmp=gsub(VNAME,paste("(",sprintf("%7.7f",Vmin),")",sep=""),Xystr[jj]) + Tmp1=paste(Tmp1,Tmp,",",sep="") + } + Tmp=substring(Tmp1,1,Length(Tmp1)-1) + Tmp1=paste(Tmp,")",sep="") + Tmp=sprintf("%6.6f",URNG) + Tmp2=paste(UNAME,"=c(",Tmp[1],",",Tmp[2],")",sep='') + Tmp3=paste('N=',as.character(Np[1])) + Tmp=Paramplot(Tmp1,Tmp2,Tmp3) + if(Cflg>0){ + Tmp1=Op(length(EhL),EhL) + Tmp=Joincrvs(Tmp1,Tmp) + if(Norm(Op(1,Tmp)-Op(Length(Tmp),Tmp))<Eps0){ + Cflg=1 + Tmp1=EhL[Looprange(1,length(EhL)-1)] + } + Tmp1=EhL[Looprange(1,length(EhL)-1)] + EhL=c(Tmp1,list(Tmp)) + }else{ + Cflg=0 + if(Norm(Op(1,Tmp)-Op(Length(Tmp),Tmp))<Eps0){ + Cflg=1 + Tmp[Length(Tmp),]=Tmp[1,] + } + EhL=c(EhL,list(Tmp)) + } + } + return(EhL) +} + +Partitionseg<- function(...){ + varargin=list(...) + Nargs=length(varargin) + Fig=varargin[[1]] + GL=varargin[[2]]; N=3 + if(!is.list(GL)){GL=list(GL)} #18.02.21 + Eps0=10^(-4) + Eps1=0.01 + if(Nargs>2){ + Eps1=varargin[[3]] + } + Eps2=0.1 + if(Nargs>3){ + Eps2=varargin[[4]] + } + if(Nargs>4){ + Ns=varargin[[5]] + if(Ns>0){#18.02.21from + Other=Op(Ns,OTHERPARTITION) + }else{ + Other=c() + }#18.02.21until + }else{ + Ns=1 + Other=c() + } + Npt=Length(Fig) + ParL=c(1,Npt,Other) + for(N in Looprange(max(1,Ns),Length(GL))){ #18.02.21 + G=Op(N,GL) + KouL=IntersectcurvesPp(Fig,G,Eps1,Eps2) + Tmp1=c(); Tmp2=c() + for(jj in Looprange(1,length(KouL))){ + tmp=Op(2,KouL[[jj]]) + if((tmp>1+Eps0)&&(tmp<Npt-Eps0)){ + Tmp1=c(Tmp1,tmp) + } + tmp=Op(3,KouL[[jj]]) + if((tmp>1+Eps0)&&(tmp<Length(G)-Eps0)){ + Tmp2=c(Tmp2,tmp) + } + } + ParL=c(ParL,Tmp1) + if((Ns>0)&&(N>Ns)&&(length(Tmp2)>0)){ #18.02.21 + tmp=OTHERPARTITION[[N]] + OTHERPARTITION[[N]]<<- c(tmp,Tmp2) + } + } + tmp1=sort(ParL) + ParL=c() + tmp2=-1 + for(jj in Looprange(1,length(tmp1))){ + tmp=Op(jj,tmp1) + if(abs(tmp-tmp2)>Eps1){ + ParL=c(ParL,tmp) + tmp2=tmp + } + } + return(ParL) +} + +Evlptablepara<- function(...){ + varargin=list(...) + Nargs=length(varargin) + Tmp=varargin[[1]] + Mdv=50 + Ndv=50 + if(Nargs>=2){ + Tmp=varargin[[2]] + if(is.list(Tmp)){Tmp=Op(1,Tmp)} + if(length(Tmp)>1){ + Mdv=Tmp[1] + Ndv=Tmp[2] + }else{ + Mdv=Tmp + if(Nargs==2){ + Ndv=Mdv + }else{ + Tmp1=varargin[[3]] + if((is.numeric(Tmp1)) && (length(Tmp1)==1)){ + Ndv=Tmp1 + }else{ + Ndv=Mdv + } + } + } + } + U1=URNG[1]; U2=URNG[2] + V1=VRNG[1]; V2=VRNG[2] + Du=(U2-U1)/(Mdv) + Dv=(V2-V1)/(Ndv) + sph=sprintf("%7.7f",sin(PHI)) + cph=sprintf("%7.7f",cos(PHI)) + sth=sprintf("%7.7f",sin(THETA)) + cth=sprintf("%7.7f",cos(THETA)) + xstr=paste("-(",XYZstr[1],")*(",sph,")+(",XYZstr[2],")*(",cph,")",sep="") + tmp=paste("-(",XYZstr[1],")*(",cph,")*(",cth,")-(",XYZstr[2],")*(",sph,")*(",cth,")",sep="") + ystr=paste(tmp,"+(",XYZstr[3],")*(",sth,")",sep="") + dxu=Diff(xstr,UNAME) + dxv=Diff(xstr,VNAME) + dyu=Diff(ystr,UNAME) + dyv=Diff(ystr,VNAME) + I=1 + Zval=c() + for(jj in 1:(Ndv+1)){ + v=V1+(jj-1)*Dv + ZuL=c() + for(ii in 1:(Mdv+1)){ + u=U1+(ii-1)*Du + tmp1=paste(UNAME,"=(",sprintf("%7.7f",u),")",sep="") + tmp2=paste(VNAME,"=(",sprintf("%7.7f",v),")",sep="") + Dxu=Funvalue(dxu,tmp1,tmp2) + Dxv=Funvalue(dxv,tmp1,tmp2) + Dyu=Funvalue(dyu,tmp1,tmp2) + Dyv=Funvalue(dyv,tmp1,tmp2) + Tmp=Dxu*Dyv-Dxv*Dyu + ZuL=c(ZuL,Tmp) + } + Zval=Appendrow(Zval,ZuL) + } + Yval=c() + for(jj in 1:(Ndv+1)){ + v=V1+(jj-1)*Dv + Yval=c(Yval,v) + } + Xval=c() + for(ii in 1:(Mdv+1)){ + u=U1+(ii-1)*Du + Xval=c(Xval,u) + } + return(list(Zval,Xval,Yval)) +} + +Evlpfun<- function(u,v){ + tmp1=paste(UNAME,"=(",sprintf("%7.7f",u),")",sep="") + tmp2=paste(VNAME,"=(",sprintf("%7.7f",v),")",sep="") + Dxu=Funvalue(dxu,tmp1,tmp2) + Dxv=Funvalue(dxv,tmp1,tmp2) + Dyu=Funvalue(dyu,tmp1,tmp2) + Dyv=Funvalue(dyv,tmp1,tmp2) + Tmp=Dxu*Dyv-Dxv*Dyu + return(Tmp) +} + +Envelopedata<- function(...){ + varargin=list(...) + Eps0=10^(-4) + Nargs=length(varargin) + Fd=varargin[[1]] + Fullformfunc(Fd) + Mdv=50 + Ndv=50 + if(Nargs>=2){ + Tmp=varargin[[2]] + if(is.list(Tmp)){Tmp=Op(1,Tmp)} + if(length(Tmp)>1){ + Mdv=Tmp[1] + Ndv=Tmp[2] + }else{ + Mdv=Tmp + if(Nargs==2){ + Ndv=Mdv + }else{ + Tmp1=varargin[[3]] + if((is.numeric(Tmp1)) && (length(Tmp1)==1)){ + Ndv=Tmp1 + }else{ + Ndv=Mdv + } + } + } + } + sph=sprintf("%7.7f",sin(PHI)) + cph=sprintf("%7.7f",cos(PHI)) + sth=sprintf("%7.7f",sin(THETA)) + cth=sprintf("%7.7f",cos(THETA)) + xstr=paste("-(",XYZstr[1],")*(",sph,")+(",XYZstr[2],")*(",cph,")",sep="") + tmp=paste("-(",XYZstr[1],")*(",cph,")*(",cth,")-(",XYZstr[2],")*(",sph,")*(",cth,")",sep="") + ystr=paste(tmp,"+(",XYZstr[3],")*(",sth,")",sep="") + dxu<<- Diff(xstr,UNAME) + dxv<<- Diff(xstr,VNAME) + dyu<<- Diff(ystr,UNAME) + dyv<<- Diff(ystr,VNAME) + U1=URNG[1]; U2=URNG[2] + V1=VRNG[1]; V2=VRNG[2] + Du=(U2-U1)/Mdv + Dv=(V2-V1)/Ndv + Out=c() + for(J in 1:(Ndv)){ + Vval1=VRNG[1]+(J-1)*Dv + Vval2=VRNG[1]+J*Dv + Uval1=URNG[1] + Eval11=Evlpfun(Uval1,Vval1) + Eval12=Evlpfun(Uval1,Vval2) + for(I in 1:(Mdv)){ +# Uval1=URNG[1]+(I-1)*Du + Uval2=URNG[1]+I*Du +# Eval11=Evlpfun(Uval1,Vval1) +# Eval12=Evlpfun(Uval1,Vval2) + Eval21=Evlpfun(Uval2,Vval1) + Eval22=Evlpfun(Uval2,Vval2) + a1=Uval1;b1=Vval1;c1=Eval11 + a2=Uval2;b2=Vval1;c2=Eval21 + a3=Uval2;b3=Vval2;c3=Eval22 + a4=Uval1;b4=Vval2;c4=Eval12 + PL=matrix(c(a1,b1,a2,b2,a3,b3,a4,b4,a1,b1),ncol=2,byrow=TRUE) + VL=c(c1,c2,c3,c4,c1) + QL=c() + for(K in 1:4){ + if(abs(VL[K])<=Eps0){ + QL=Appendrow(QL,PL[K,]) + }else if(VL[K]>Eps0){ + if(VL[K+1]< -Eps0){ + Tmp=1/(VL[K]-VL[K+1])*(-VL[K+1]*PL[K,]+VL[K]*PL[K+1,]) + QL=Appendrow(QL,Tmp) + } + }else{ + if(VL[K+1]>Eps0){ + Tmp=1/(-VL[K]+VL[K+1])*(VL[K+1]*PL[K,]-VL[K]*PL[K+1,]) + QL=Appendrow(QL,Tmp) + } + } + } + Uval1=Uval2 + Eval11=Eval21 + Eval12=Eval22 + if(Length(QL)==2){ + Out=Appendrow(Out,c(Inf,Inf)) + Out=Appendrow(Out,QL) + } + } + } + Out=Out[2:nrow(Out),] + if(Length(Out)>0){ + Out=Connectseg(Out) + }else{ + Out=c() + } + return(Out) +} + +Dropnumlistcrv<- function(QdL,Eps1){ + Eps0=10^(-4) + if(!is.list(QdL)){ + PdL=list(QdL) + }else{ + PdL=QdL + } + OutL=list() + for(I in Looprange(1,length(PdL))){ + Pd=Op(I,PdL) + PtL=c(1) + P=Op(1,Pd) + for(K in Looprange(2,Length(Pd)-1)){ + if(Norm(P-Op(K,Pd))>Eps1){ + PtL=c(PtL,K) + P=Op(K,Pd) + } + } + K=Length(Pd) + if(Norm(P-Op(K,Pd))>Eps1){ #18.02.12 eps + PtL=c(PtL,K) + } +# if(length(PtL)==1){ #180306 +# } + OutL=c(OutL,list(PtL)) + } + return(OutL) +} + +Cuspsplitpara<- function(...){ + varargin=list(...) + Nargs=length(varargin); + Gdxy=varargin[[1]] + if(!is.list(Gdxy)){ + Gdxy=list(Gdxy) + } + Eps0=10^(-4) + Eps1=0.01 + if(Nargs>2){Eps1=varargin[[2]]} + N=2 + CUSPSPLITPT<<- list() + OutkL=list() + for(Ng in Looprange(1,length(Gdxy))){ + PtxyL=Op(Ng,Gdxy) + PtkL=c() + PthL=c() + for(I in Looprange(1,Length(PtxyL))){ + Tmp=Op(I,PtxyL) + Tmp1=paste(UNAME,'=',sprintf("%7.7f",Tmp[1]),sep="") + eval(parse(text=Tmp1)) + Tmp1=paste(VNAME,'=',sprintf("%7.7f",Tmp[2]),sep="") + eval(parse(text=Tmp1)) + Tmp2=c(eval(parse(text=XYZstr[1]))) + Tmp2=c(Tmp2,eval(parse(text=XYZstr[2]))) + Tmp2=c(Tmp2,eval(parse(text=XYZstr[3]))) + Tmp3=Parapt(Tmp2) + if(I==1){ + PtkL=matrix(Tmp2,nrow=1) + PthL=matrix(Tmp3,nrow=1) + }else{ + Tmp4=Op(Length(PthL),PthL) + if(Norm(Tmp3-Tmp4)>Eps0){ + PtkL=Appendrow(PtkL,Tmp2) + PthL=Appendrow(PthL,Tmp3) + } + } + } + if(Length(PthL)==0){ + return(list()) + } + Ps=Op(1,PthL); Pe=Op(Length(PthL),PthL) + Cflg=0 + if(Norm(Ps-Pe)<Eps1){Cflg=1} + CuspL=c() + Cva=cos(10*pi/180) + for(I in Looprange(1,Length(PthL)-1)){ + if(Length(PthL)==2){break} + Tmp=Op(I,PthL) + if(I==1){ + if(Cflg==0){next} + Tmp1=Op(Length(PthL)-1,PthL) + }else{ + Tmp1=Op(I-1,PthL) + } + Tmp2=Op(I+1,PthL) + V1=Tmp-Tmp1 + V2=Tmp2-Tmp + Tmp3=Dotprod(V1,V2)/(Norm(V1)*Norm(V2)) + Cuspflg=0 + if(Tmp3<Cva){ + P=Op(I,PthL) + Kaku=acos(Tmp3)*180/pi + if(Crossprod(V1,V2)<0){ + Kaku=-Kaku + } + Cuspflg=0 + for(J in Looprange(I+1,Length(PthL)-1)){ + if(abs(Kaku)>90){ + Cuspflg=1 + break + } + Q=Op(J,PthL) + if(Norm(P-Q)>Eps1){ + break + } + V1=Q-Op(J-1,PthL) + V2=Op(J+1,PthL)-Q + Tmp3=Dotprod(V1,V2)/(norm(V1)*norm(V2)) + Tmp=acos(Tmp3)*180/pi + if(Crossprod(V1,V2)<0){ + Tmp=-Tmp + } + Kaku=Kaku+Tmp + } + if(Cuspflg==1){ + Tmp=trunc((I+J)*0.5) + I=J + if(length(CuspL)==0){ + CuspL=c(Tmp) + }else{ + CuspL=c(CuspL,Tmp) + } + } + } + } + if(Cflg==0){ + CuspL=c(1,CuspL,Length(PthL)) + }else if(length(CuspL)==0){ + CuspL=c(1,Length(PthL)) + }else if(Op(1,CuspL)==1){ + CuspL=c(CuspL,Length(PthL)) + }else{ + Tmp=Op(1,CuspL) + Tmp1=PthL[Tmp:Length(PthL),] + Tmp2=PthL[2:Tmp,] + PthL=Appendrow(Tmp1,Tmp2) + Tmp1=PtkL[Tmp:Length(PthL),] + Tmp2=PtkL[2:Tmp,] + PtkL=Appendrow(Tmp1,Tmp2) + CuspL=CuspL-Tmp+1 + CuspL=c(CuspL,Length(PthL)) + } + if(length(CuspL)==2){ + Tmp4=PthL[Length(PthL),] + if(Length(PtkL)>=2){ + CUSPSPLITPT<<- c(CUSPSPLITPT,list(Tmp4)) + OutkL=c(OutkL,list(PtkL)) + } + next + } + Outk=list() + Is=1 + for(I in Looprange(1,length(CuspL)-1)){ + Tmp1=CuspL[Is]; Tmp2=CuspL[I+1] + Tmp3=Op(Tmp1,PthL); Tmp4=Op(Tmp2,PthL) + if(Norm(Tmp3-Tmp4)>Eps1){ + Tmpk=PtkL[Tmp1:Tmp2,] + Outk=c(Outk,list(Tmpk)) + CUSPSPLITPT<<- c(CUSPSPLITPT,list(Tmp4)) + Is=I+1 + } + } + OutkL=c(OutkL,Outk) + } + Tmp1=Dropnumlistcrv(Projpara(OutkL),Eps1*0.5) + Tmp=list() + for(I in Looprange(1,length(OutkL))){ + Tmp2=Op(I,OutkL) + Tmp3=Op(I,Tmp1) + Tmp4=c() + for(J in Looprange(1,Length(Tmp3))){ + Tmp5=Op(Tmp3[J],Tmp2) + Tmp4=Appendrow(Tmp4,Tmp5) + } + if(Length(Tmp4)>0){ + Tmp=c(Tmp,list(Tmp4)) + } + } + return(Tmp) +} + +PthiddenQ<- function(PtA,Vec,Uveq,Np,Eps1,Eps2){ + Eps0=10^(-4) + Out=c() + Vec=1/Norm(Vec)*Vec + if(length(Np)==1){ + Np=c(Np,Np) + } + Tmp=paste("Eqfun<- function(U,V){",sep='') + if((abs(Vec[2])>Eps0) || (abs(Vec[1])>Eps0)){ + Vstr=sprintf("%6.6f",Vec) + Pstr=sprintf("%6.6f",PtA) + Tmp=paste(Tmp,"(",Vstr[2],")*(Xfunc(U,V)-(",Pstr[1],"))",sep='') + Tmp=paste(Tmp,"-(",Vstr[1],")*(Yfunc(U,V)-(",Pstr[2],"))}",sep='') + }else{ + Tmp=paste(Tmp,"Xfunc(U,V)}",sep='') + } + eval(parse(text=Tmp)) + Dx=(URNG[2]-URNG[1])/Np[1] + Dy=(VRNG[2]-VRNG[1])/Np[2] + for(J in Looprange(1,Np[2])){ #180227 + Vval1=VRNG[1]+(J-1)*Dy + Vval2=VRNG[1]+J*Dy + Uval1=URNG[1] #180306(3lines) + Eval11=Eqfun(Uval1,Vval1) + Eval12=Eqfun(Uval1,Vval2) + Uval1=URNG[1] #180305(3lines) + for(I in Looprange(1,Np[1])){ #180227 +# Uval1=URNG[1]+(I-1)*Dx + Uval2=URNG[1]+I*Dx +# Eval11=Eqfun(Uval1,Vval1) +# Eval12=Eqfun(Uval1,Vval2) + Eval21=Eqfun(Uval2,Vval1) + Eval22=Eqfun(Uval2,Vval2) + a1=Uval1;b1=Vval1;c1=Eval11 + a2=Uval2;b2=Vval1;c2=Eval21 + a3=Uval2;b3=Vval2;c3=Eval22 + a4=Uval1;b4=Vval2;c4=Eval12 + PL=matrix(c(a1,b1,a2,b2,a3,b3,a4,b4,a1,b1),ncol=2,byrow=TRUE) + VL=c(c1,c2,c3,c4,c1) + QL=c() + for(K in 1:4){ + P1=Op(K,PL); P2=Op(K+1,PL) + M1=Op(K,VL); M2=Op(K+1,VL) + if(abs(M1)<Eps0){ + QL=Appendrow(QL,P1) + next + } + if(abs(M2)<Eps0){ +# QL=Appendrow(QL,P2) + next + } + if((M1> 0) && (M2> 0)){ + next + } + if((M1< 0) && (M2< 0)){ + next + } + Tmp=1/(M1-M2)*(-M2*P1+M1*P2) + QL=Appendrow(QL,Tmp) + } + Uval1=Uval2 #180306(3lines) + Eval11=Eval21 + Eval12=Eval22 + if(Length(QL)==2){ + Puv1=Op(1,QL); Puv2=Op(2,QL) + Tmp1=Op(1,Puv1) + Tmp2=Op(2,Puv1) + Xv=Xfunc(Tmp1,Tmp2) + Yv=Yfunc(Tmp1,Tmp2) + Zv=Zfunc(Tmp1,Tmp2) + P1=c(Xv,Yv,Zv) + Tmp1=Op(1,Puv2) + Tmp2=Op(2,Puv2) + Xv=Xfunc(Tmp1,Tmp2) + Yv=Yfunc(Tmp1,Tmp2) + Zv=Zfunc(Tmp1,Tmp2) + P2=c(Xv,Yv,Zv) + V1=Vec[1]; V2=Vec[2]; V3=Vec[3] + if(abs(V1)>Eps0){ + M1=PtA[3]+V3/V1*(P1[1]-PtA[1])-P1[3] + M2=PtA[3]+V3/V1*(P2[1]-PtA[1])-P2[3] + }else if(abs(V2)>Eps0){ + M1=PtA[3]+V3/V2*(P1[2]-PtA[2])-P1[3] + M2=PtA[3]+V3/V2*(P2[2]-PtA[2])-P2[3] + }else{ + M1=PtA[2]-P1[2] + M2=PtA[2]-P2[2] + } + if(M1*M2>= 0){ + if(((M1>0) && (M2>0)) || ((M1< 0) && (M2< 0))){ + next + } + if(M1==0){ + Pt=P1; Ptuv=Puv1 + }else{ + Pt=P2; Ptuv=Puv2 + } + }else{ + Pt=1/(M1-M2)*(-M2*P1+M1*P2) + Ptuv=1/(M1-M2)*(-M2*Puv1+M1*Puv2) + } + if(is.character(Uveq)){ + Tmp1=paste('(',sprintf("%6.6f",Ptuv[1]),')',sep='') + Tmp2=paste('('+sprintf("%6.6f",Ptuv[2]),')',sep='') + Tmp=gsub(UNAME,Tmp1,Uveq,fixed=TRUE) + Tmp=gsub(VNAME,Tmp2,Tmp,fixed=TRUE) + Tmp=eval(parse(text=Tmp)) + if(Tmp< -Eps0){ + next + } + } + Tmp1=Crossprod(Pt-PtA,Vec) + if(Norm(Tmp1)<Eps1){ #18.02.19 + if(Zparapt(Pt)>Zparapt(PtA)+Eps2){ + return(list(1,Pt,Zparapt(Pt),Zparapt(PtA))) + }else{ + Out=Appendrow(Out,Pt) + } + } + } + } + } + if(Length(Out)==0){ + return(list(0,c())) + } + return(c(list(0,Out))) +} + +Nohiddenpara2<- function (Par,Fk,Uveq,Np,Eps1,Eps2){ + Eps0=10^(-4) + Fh=Projpara(Fk) + P1=Ptstart(Fh) + P2=Ptend(Fh) + Csp=CUSPPT + if(!is.list(Csp)){Csp=list(Csp)} + Cspflg=1 + for(I in Looprange(1,length(Csp))){ + Tmp=Op(I,Csp) + if(Norm(Tmp-P1)<Eps0){ + if(Cspflg==1){Cspflg=2} + if(Cspflg==3){Cspflg=6} + next + } + if(Norm(Tmp-P2)<Eps0){ + if(Cspflg==1){Cspflg=3} + if(Cspflg==2){Cspflg=6} + next + } + } + PaL=c() + tmp2=-1 + for(jj in Looprange(1,length(Par)-1)){ + tmp1=Op(jj,Par) + if(abs(tmp1-tmp2)>Eps0){ #180227 + PaL=c(PaL,tmp1) + tmp2=tmp1 + } + } + tmp1=PaL[length(PaL)] #18.02.26from + tmp2=Par[length(Par)] + if(abs(tmp1-tmp2)<Eps0){ #180227 + PaL[length(PaL)]=tmp2 + }else{ + PaL=c(PaL,tmp2) + } #18.02.26until + SeL=c() + for(N in Looprange(1,length(PaL)-1)){ + S=(PaL[N]+PaL[N+1])/2 + Tmp=Invparapt(S,Fh,Fk) + PtA=Op(1,Tmp) + PtAp=Parapt(PtA) + Vec=c(sin(THETA)*cos(PHI),sin(THETA)*sin(PHI),cos(THETA)) + Flg=PthiddenQ(PtA,Vec,Uveq,Np,Eps1,Eps2) + if(Flg[[1]]==0){ + SeL=c(SeL,N) + } + } + FigL=list() + FigkL=list() + for(I in Looprange(1,length(SeL))){ + Tmp1=Pointoncurve(PaL[SeL[I]],Fh) + Tmp2=Pointoncurve(PaL[SeL[I]+1],Fh) + if(I==1){ + P=Tmp1; SP=PaL[SeL[I]] + Q=Tmp2; SQ=PaL[SeL[I]+1] + }else{ + if(Member(SeL[I]-1,SeL)){ + Q=Tmp2; SQ=PaL[SeL[I]+1] + }else{ + FigL=c(FigL,list(Partcrv(SP,SQ,Fh))) + Tmp3=Invparapt(SP,Fh,Fk) + TP=Op(2,Tmp3) + Tmp3=Invparapt(SQ,Fh,Fk) + TQ=Op(2,Tmp3) + Tmp4=Partcrv3(TP,TQ,Fk) + FigkL=c(FigkL,list(Tmp4)) + P=Tmp1; SP=PaL[SeL[I]] + Q=Tmp2; SQ=PaL[SeL[I]+1] + } + } + } + if(length(SeL)>0){ + if(Norm(P-Q)>Eps0){ #18.02.14 + FigL=c(FigL,list(Partcrv(P,Q,Fh))) + Tmp3=Invparapt(SP,Fh,Fk) + TP=Op(2,Tmp3) + Tmp3=Invparapt(SQ,Fh,Fk) + TQ=Op(2,Tmp3) + FigkL=c(FigkL,list(Partcrv3(TP,TQ,Fk))) + }else{ + FigL=c(FigL,list(Fh)) + FigkL=c(FigkL,list(Fk)) + } + } + Tmp=c() + for(I in Looprange(1,length(PaL)-1)){ + if(!Member(I,SeL)){ + Tmp=c(Tmp,I) + } + } + SeL=Tmp + HIDDENDATA<<- list() + for(I in Looprange(1,length(SeL))){ + Tmp=PaL[SeL[I]] + Tmp1=Pointoncurve(Tmp,Fh) + Tmp=PaL[SeL[I]+1] + Tmp2=Pointoncurve(Tmp,Fh) + if(I==1){ + P=Tmp1; SP=PaL[SeL[I]] + Q=Tmp2; SQ=PaL[SeL[I]+1] + }else{ + if(Member(SeL[I]-1,SeL)){ + Q=Tmp2; SQ=PaL[SeL[I]+1] + }else{ + Tmp=Invparapt(SP,Fh,Fk) + TP=Op(2,Tmp) + Tmp=Invparapt(SQ,Fh,Fk) + TQ=Op(2,Tmp) + HIDDENDATA<<- c(HIDDENDATA,list(Partcrv3(TP,TQ,Fk))) + P=Tmp1; SP=PaL[SeL[I]] + Q=Tmp2; SQ=PaL[SeL[I]+1] + } + } + } + if(length(SeL)>0){ + if(Norm(P-Q)>Eps0){ #18.02.14 + Tmp=Invparapt(SP,Fh,Fk) + TP=Op(2,Tmp) + Tmp=Invparapt(SQ,Fh,Fk) + TQ=Op(2,Tmp) + HIDDENDATA<<- c(HIDDENDATA,list(Partcrv3(TP,TQ,Fk))) + }else{ + HIDDENDATA<<- c(HIDDENDATA,list(Fk)) + } + } + return(FigkL) +} + +Borderparadata<- function(...){ + varargin=list(...) + Nargs=length(varargin) + FkL=varargin[[1]] + Np=c(50,50) + Eps1=0.01 + Eps2=0.05 + ctr=0 + for(jj in Looprange(2,Nargs)){ + tmp=varargin[[jj]] + if((length(tmp)>1)||(tmp>1)){ + Np=tmp + if(length(Np)==1){ + Np=c(Np,Np) + } + }else{ + ctr=ctr+1 + if(ctr==1){Eps1=tmp} + if(ctr==2){Eps2=tmp} + } + } + Umin=URNG[1]; Umax=URNG[2] + Vmin=VRNG[1]; Vmax=VRNG[2] + EkL=list() + Tmp=grep("e",DRWS,fixed=TRUE) + if(length(Tmp)>0){ + Tmp1="c(" + for(jj in 1:3){ + Tmp=gsub(UNAME,paste("(",sprintf("%7.7f",Umax),")",sep=""),XYZstr[jj]) + Tmp1=paste(Tmp1,Tmp,",",sep="") + } + Tmp=substring(Tmp1,1,Length(Tmp1)-1) + Tmp1=paste(Tmp,")",sep="") + Tmp=sprintf("%6.6f",VRNG) + Tmp2=paste(VNAME,"=c(",Tmp[1],",",Tmp[2],")",sep='') + Tmp3=paste('N=',as.character(Np[2]),sep="") + Tmp=Spacecurve(Tmp1,Tmp2,Tmp3) + EkL=c(EkL,list(Tmp)) + } + Tmp=grep("n",DRWS,fixed=TRUE) + if(length(Tmp)>0){ + Tmp1="c(" + for(jj in 1:3){ + Tmp=gsub(VNAME,paste("(",sprintf("%7.7f",Vmax),")",sep=""),XYZstr[jj]) + Tmp1=paste(Tmp1,Tmp,",",sep="") + } + Tmp=substring(Tmp1,1,Length(Tmp1)-1) + Tmp1=paste(Tmp,")",sep="") + Tmp=sprintf("%6.6f",URNG) + Tmp2=paste(UNAME,"=c(",Tmp[1],",",Tmp[2],")",sep='') + Tmp3=paste('N=',as.character(Np[1]),sep="") + Tmp=Spacecurve(Tmp1,Tmp2,Tmp3) + EkL=c(EkL,list(Tmp)) + } + Tmp=grep("w",DRWS,fixed=TRUE) + if(length(Tmp)>0){ + Tmp1="c(" + for(jj in 1:3){ + Tmp=gsub(UNAME,paste("(",sprintf("%7.7f",Umin),")",sep=""),XYZstr[jj]) + Tmp1=paste(Tmp1,Tmp,",",sep="") + } + Tmp=substring(Tmp1,1,Length(Tmp1)-1) + Tmp1=paste(Tmp,")",sep="") + Tmp=sprintf("%6.6f",VRNG) + Tmp2=paste(VNAME,"=c(",Tmp[1],",",Tmp[2],")",sep='') + Tmp3=paste('N=',as.character(Np[2])) + Tmp=Spacecurve(Tmp1,Tmp2,Tmp3) + EkL=c(EkL,list(Tmp)) + } + Tmp=grep("s",DRWS,fixed=TRUE) + if(length(Tmp)>0){ + Tmp1="c(" + for(jj in 1:3){ + Tmp=gsub(VNAME,paste("(",sprintf("%7.7f",Vmin),")",sep=""),XYZstr[jj]) + Tmp1=paste(Tmp1,Tmp,",",sep="") + } + Tmp=substring(Tmp1,1,Length(Tmp1)-1) + Tmp1=paste(Tmp,")",sep="") + Tmp=sprintf("%6.6f",URNG) + Tmp2=paste(UNAME,"=c(",Tmp[1],",",Tmp[2],")",sep='') + Tmp3=paste('N=',as.character(Np[1])) + Tmp=Spacecurve(Tmp1,Tmp2,Tmp3) + EkL=c(EkL,list(Tmp)) + } + if(length(EkL)>0){ + FkL=c(FkL,EkL) + } + Fall=Projpara(FkL) + if(is.numeric(Fall)){ + Fall=list(Fall) + } + Fbdxy=Makexybdy(Np) + BORDERPT<<- list() + Tmp1=list() + for(I in Looprange(1,length(Fall))){ + Tmp1=c(Tmp1,list(c())) + } + OTHERPARTITION<<- Tmp1 + FsL=list() + BORDERHIDDENDATA<<- list() + starttime=proc.time() + for(I in Looprange(1,length(FkL))){ + Tmp=Op(I,FkL) + Tmp=Projpara(Tmp) + Par=Partitionseg(Tmp,Fall,Eps1,Eps2,I) + Tmp1=Op(I,FkL) + Tmp=Nohiddenpara2(Par,Tmp1,1,Np,Eps1,Eps2) + if(length(HIDDENDATA)>0){ + BORDERHIDDENDATA<<- c(BORDERHIDDENDATA,HIDDENDATA) + } + if(length(Tmp)>0){ + FsL=c(FsL,Tmp) + } + Tmp=paste('Border',formatC(I,width=2,flag="0"),'/',sep='') + Tmp=paste(Tmp,as.character(length(FkL)),' obtained : Time =',sep='') + Tmp1=proc.time()-starttime + print(paste(Tmp,sprintf("%6.3f",Tmp1[1]),sep='')) + } + return(FsL) +} + +Sfbdparadata<- function(...){ + varargin=list(...) + Nargs=length(varargin) + Fd=varargin[[1]] + FdL=Fullformfunc(Fd) + Np=c(50,50) + Eps0=10^(-4) + Eps1=0.01 + Eps2=0.05 + ctr=0 + for(jj in Looprange(2,Nargs)){ + tmp=varargin[[jj]] + if((length(tmp)>1)||(tmp>1)){ + Np=tmp + if(length(Np)==1){ + Np=c(Np,Np) + } + }else{ + ctr=ctr+1 + if(ctr==1){Eps1=tmp} + if(ctr==2){Eps2=tmp} + } + } + starttime=proc.time() +# tmp=Evlptablepara(Np) +# Zval=tmp[[1]]; Xval=tmp[[2]]; Yval=tmp[[3]] +# Out3=Implicitplot(Zval,Xval,Yval) + Out3=Envelopedata(Fd) #180306 + tmp3=list() + pts=list() #180306 + for(jj in Looprange(1,length(Out3))){ + tmp1=Op(jj,Out3) + tmp2=c() + for(kk in Looprange(1,Length(tmp1))){ + tmp=Op(kk,tmp1) + tmp2=Appendrow(tmp2,XYZfunc(tmp[1],tmp[2])) + } + Nlist=Dropnumlistcrv(tmp2,Eps1) + Nlist=Nlist[[1]] + if(Length(Nlist)==1){ #180306from + tmp=Op(1,Nlist) + tmp=Op(tmp,tmp1) + pts=c(pts,list(tmp)) +# pts=c(pts,list(XYZfunc(tmp[1],tmp[2])))#180306until + }else{ + tmp=c() + for(kk in Looprange(1,length(Nlist))){ + tmp=Appendrow(tmp,Op(Nlist[kk],tmp1)) #18.02.18 + } + if(Length(tmp)>0){ + tmp3=c(tmp3,list(tmp)) + } + } + } + Out3=tmp3 + tmp3=pts #180306from + pts=list() + for(ii in Looprange(1,length(tmp3))){ + tmp=Op(ii,tmp3) + tmp1=XYZfunc(tmp[1],tmp2[]) + flg=0 + for(jj in Looprange(1,length(pts))){ + tmp=Op(jj,pts) + tmp2=XYZfunc(tmp[1],tmp2[]) + if(Norm(tmp1-tmp2)<Eps1){ + flg=1; break + } + } + if(flg==0){pts=c(pts,list(Op(ii,tmp3)))} + } + for(ii in Looprange(1,length(pts))){ + tmp=Op(ii,pts) + tmp1=XYZfunc(tmp[1],tmp[2]) + for(jj in Looprange(1,length(Out3))){ + tmp2=Op(jj,Out3) + eps=1 + for(kk in Looprange(1,Length(tmp2)-1)){ + tmp=Op(kk,tmp2) + tmp1=XYZfunc(tmp[1],tmp[2]) + tmp=Op(kk+1,tmp2) + tmp=XYZfunc(tmp[1],tmp[2]) + eps=min(c(eps,Norm(tmp1-tmp))) + } + tmp=Ptstart(tmp2) + if(Norm(tmp1-XYZfunc(tmp[1],tmp[2]))<eps+Eps0){ + Out3[[jj]]=Appendrow(Op(ii,pts),tmp2) + next + } + tmp=Ptend(tmp2) + if(Norm(tmp1-XYZfunc(tmp[1],tmp[2]))<eps+Eps0){ + Out3[[jj]]=Appendrow(tmp2,Op(ii,pts)) + next + } + } + } #180306until + IMPLICITDATA<<- Out3 + Tmp=proc.time()-starttime + print(paste('ImplicitData obtained : Time =',sprintf("%6.3f",Tmp[1]),sep='')) + starttime=proc.time() + Out4=Cuspsplitpara(Out3,Eps1) + CUSPDATA<<- Out4 + CUSPPT<<- CUSPSPLITPT + Tmp=proc.time()-starttime + print(paste('CuspData obtained : Time =',sprintf("%6.3f",Tmp[1]),sep='')) + Out5=Borderparadata(Out4,Np,Eps1,Eps2) + return(Out5) +} + +Meetpoints<- function(PtA,PtB,Uveq,Np,Eps1){ + Eps0=10^(-4) + Vec=PtB-PtA + if(Norm(Vec)<Eps0){return(list())} #18.02.24 + Out=list() + Vec=1/Norm(Vec)*Vec + if(length(Np)==1){ + Np=c(Np,Np) + } + Tmp=paste("Eqfun<- function(U,V){",sep='') + if((abs(Vec[2])>Eps0) || (abs(Vec[1])>Eps0)){ + Vstr=sprintf("%6.6f",Vec) + Pstr=sprintf("%6.6f",PtA) + Tmp=paste(Tmp,"(",Vstr[2],")*(Xfunc(U,V)-(",Pstr[1],"))",sep='') + Tmp=paste(Tmp,"-(",Vstr[1],")*(Yfunc(U,V)-(",Pstr[2],"))}",sep='') + }else{ + Tmp=paste(Tmp,"Xfunc(U,V)}",sep='') + } + eval(parse(text=Tmp)) + Dx=(URNG[2]-URNG[1])/Np[1] + Dy=(VRNG[2]-VRNG[1])/Np[2] + for(J in Looprange(1,Np[2])){ + Vval1=VRNG[1]+(J-1)*Dy + Vval2=VRNG[1]+J*Dy + Uval1=URNG[1] #180305(3lines) + Eval11=Eqfun(Uval1,Vval1) + Eval12=Eqfun(Uval1,Vval2) + for(I in Looprange(1,Np[1])){ +# Uval1=URNG[1]+(I-1)*Dx + Uval2=URNG[1]+I*Dx +# Eval11=Eqfun(Uval1,Vval1) +# Eval12=Eqfun(Uval1,Vval2) + Eval21=Eqfun(Uval2,Vval1) + Eval22=Eqfun(Uval2,Vval2) + a1=Uval1;b1=Vval1;c1=Eval11 + a2=Uval2;b2=Vval1;c2=Eval21 + a3=Uval2;b3=Vval2;c3=Eval22 + a4=Uval1;b4=Vval2;c4=Eval12 + PL=matrix(c(a1,b1,a2,b2,a3,b3,a4,b4,a1,b1),ncol=2,byrow=TRUE) + VL=c(c1,c2,c3,c4,c1) + QL=c() + for(K in 1:4){ + P1=Op(K,PL); P2=Op(K+1,PL) + M1=Op(K,VL); M2=Op(K+1,VL) + if(abs(M1)<Eps0){ + QL=Appendrow(QL,P1) + next + } + if(abs(M2)<Eps0){ +# QL=Appendrow(QL,P2) + next + } + if((M1> 0) && (M2> 0)){ + next + } + if((M1< 0) && (M2< 0)){ + next + } + Tmp=1/(M1-M2)*(-M2*P1+M1*P2) + QL=Appendrow(QL,Tmp) + } + Uval1=Uval2 #180306(3lines) + Eval11=Eval21 + Eval12=Eval22 + if(Length(QL)==2){ + Puv1=Op(1,QL); Puv2=Op(2,QL) + Tmp1=Op(1,Puv1) + Tmp2=Op(2,Puv1) + Xv=Xfunc(Tmp1,Tmp2) + Yv=Yfunc(Tmp1,Tmp2) + Zv=Zfunc(Tmp1,Tmp2) + P1=c(Xv,Yv,Zv) + Tmp1=Op(1,Puv2) + Tmp2=Op(2,Puv2) + Xv=Xfunc(Tmp1,Tmp2) + Yv=Yfunc(Tmp1,Tmp2) + Zv=Zfunc(Tmp1,Tmp2) + P2=c(Xv,Yv,Zv) + V1=Vec[1]; V2=Vec[2]; V3=Vec[3] + if(abs(V1)>Eps0){ + M1=PtA[3]+V3/V1*(P1[1]-PtA[1])-P1[3] + M2=PtA[3]+V3/V1*(P2[1]-PtA[1])-P2[3] + }else if(abs(V2)>Eps0){ + M1=PtA[3]+V3/V2*(P1[2]-PtA[2])-P1[3] + M2=PtA[3]+V3/V2*(P2[2]-PtA[2])-P2[3] + }else{ + M1=PtA[2]-P1[2] + M2=PtA[2]-P2[2] + } + if(M1*M2>= 0){ #18.02.21 + if(((M1>0) && (M2>0)) || ((M1< 0) && (M2< 0))){ + next + } + if(M1==0){ + Pt=P1; Ptuv=Puv1 + }else{ + Pt=P2; Ptuv=Puv2 + } + }else{ + Pt=1/(M1-M2)*(-M2*P1+M1*P2) + Ptuv=1/(M1-M2)*(-M2*Puv1+M1*Puv2) + } + if(is.character(Uveq)){ + Tmp1=paste('(',sprintf("%6.6f",Ptuv[1]),')',sep='') + Tmp2=paste('('+sprintf("%6.6f",Ptuv[2]),')',sep='') + Tmp=gsub(UNAME,Tmp1,Uveq,fixed=TRUE) + Tmp=gsub(VNAME,Tmp2,Tmp,fixed=TRUE) + Tmp=eval(parse(text=Tmp)) + if(Tmp< -Eps0){ + next + } + } + Tmp1=Crossprod(Pt-PtA,Vec) + if(Norm(Tmp1)<Eps1){ #18.02.19 + Tmp1=Dotprod(Pt-PtA,Vec) #18.02.21 + if((Tmp1>-Eps0)&&(Tmp1<Norm(PtB-PtA)+Eps0)){ + Out=c(Out,list(Pt)) + } + } + } + } + } + tmp1=Groupnearpt(Out,Eps1) + Out=list() + for(jj in Looprange(1,length(tmp1))){ + tmp=Op(jj,tmp1) + tmp=c(sum(tmp[,1]),sum(tmp[,2]),sum(tmp[,3]))/Length(tmp) + Out=c(Out,list(tmp)) + } + return(Out) +} + +Clipindomain<- function(ObjL,FigL){ + Eps0=10^(-4) + Eps1=0.01 + Eps2=0.05 + Bdy=Kyoukai(FigL) + if(length(Bdy)>=2){ + Fbdy=Joincrvs(FigL) + }else{ + Fbdy=Op(1,FigL) + } + if(!is.list(ObjL)){ + ObjL=list(ObjL) + } + if(!is.list(FigL)){ + FigL=list(FigL) + } + OutL=list() + for(Nobj in Looprange(1,length(ObjL))){ + Obj=Op(Nobj,ObjL) + ParL=c(1,Length(Obj)) + Tmp=IntersectcurvesPp(Obj,Fbdy,Eps1,Eps2) + for(J in Looprange(1,length(Tmp))){ + Tmp1=Op(J,Tmp) + ParL=c(ParL,Op(2,Tmp1)) + } + ParL=sort(ParL) + Tmp=c(1) + for(I in Looprange(1,length(ParL))){ + Tmp1=Op(length(Tmp),Tmp) + Tmp2=ParL[I] + if(Tmp2-Tmp1>Eps0){ + Tmp=c(Tmp,Tmp2) + } + } + ParL=Tmp + Tmp1=Op(length(ParL),ParL) + Tmp2=Length(Obj) + if(abs(Tmp1-Tmp2)<Eps1){ + ParL=c(ParL[Looprange(1,length(ParL)-1)],Tmp2) + } + Fig=list() + for(N in Looprange(1,length(ParL)-1)){ + Tmp=(ParL[N]+ParL[N+1])*0.5 + Tmp=Pointoncurve(Tmp,Obj) + Tmp=Naigai(Tmp,Bdy) + Tmp1=sum(Tmp)%%2 + if(Tmp1==0){ + next + } + Fig=c(Fig,list(Partcrv(ParL[N],ParL[N+1],Obj))) + } + OutL=c(OutL,Fig) + } + return(OutL) +} + +Crvsfparadata<- function(...){ + starttime=proc.time() + varargin=list(...) + Nargs=length(varargin) + Sepflg=0 + Tmp=varargin[[Nargs]] + if((is.numeric(Tmp))&&(Tmp<=0)){ + Sepflg=1 + Nargs=Nargs-1 + } + Fk=varargin[[1]] + if(!is.list(Fk)){ + FkL=list(Fk) + }else{ + FkL=Fk + } + Fbdy=Projpara(varargin[[2]]) + Fd=varargin[[3]]; + Fullformfunc(Fd) #18.02.17 + Np=c(50,50) + Eps0=10^(-4) + Eps1=0.01 + Eps2=0.05 + ctr=0 + for(jj in Looprange(4,Nargs)){ + tmp=varargin[[jj]] + if((length(tmp)>1)||(tmp>1)){ + Np=tmp + if(length(Np)==1){ + Np=c(Np,Np) + } + }else{ + ctr=ctr+1 + if(ctr==1){Eps1=tmp} + if(ctr==2){Eps2=tmp} + } + } + Out=list() + CRVSFHIDDENDATA<<- list() + for(Nn in Looprange(1,length(FkL))){ + Fk=Op(Nn,FkL) + Tmp=Projpara(Fk) + Par=Partitionseg(Tmp,Fbdy,Eps1,Eps2,0) + if(Sepflg==0){ + for(I in Looprange(1,Length(Fk)-1)){ + Pa=Op(I,Fk) + Pb=Op(I+1,Fk) + PtL=Meetpoints(Pa,Pb,1,Np,Eps1) + for(J in Looprange(1,Length(PtL))){ + Tmp=Op(J,PtL) + Tmp=Parapt(Tmp) + Tmp1=Paramoncurve(Tmp,I,Projpara(Fk)) + Tmp2=min(abs(Par-Tmp1)) + if(Tmp2*Norm(Parapt(Pb-Pa))>Eps0) { #180227 + Par=c(Par,Tmp1) + } + } + Par=sort(Par) + } + } + for(jj in Looprange(1,length(ADDPOINT))){ #18.02.19from + tmp=Parapt(Op(jj,ADDPOINT)) + tmp=Nearestpt(tmp,Projpara(Fk)) + if(tmp[[3]]<Eps1){ + Par=c(Par,tmp[[2]]) + } + } #18.02.19until + tmp1=sort(Par) + Par=c() + tmp2=-1 + for(jj in Looprange(1,length(tmp1))){ + tmp=Op(jj,tmp1) + if(abs(tmp-tmp2)>Eps0){ #180227 + Par=c(Par,tmp) + tmp2=tmp + } + } + Tmp1=Nohiddenpara2(Par,Fk,1,Np,Eps1,Eps2) + Out=c(Out,Tmp1) + CRVSFHIDDENDATA<<- c(CRVSFHIDDENDATA,HIDDENDATA) + Tmp=paste('Crvsfdata',formatC(Nn,width=2,flag="0"),'/',sep='') + Tmp=paste(Tmp,as.character(length(FkL)),' obtained : Time =',sep='') + Tmp1=proc.time()-starttime + print(paste(Tmp,sprintf("%6.3f",Tmp1[1]),sep='')) + } + return(Out) +} + +Crv3onsfparadata<- function(...){ + starttime=proc.time() + varargin=list(...) + Nargs=length(varargin) + Fk=varargin[[1]] + if(!is.list(Fk)){ + FkL=list(Fk) + }else{ + FkL=Fk + } + Fbdy=Projpara(varargin[[2]]) + Fd=varargin[[3]] + Fullformfunc(Fd) #18.02.17 + Np=c(50,50) + Eps1=0.01 + Eps2=0.05 + ctr=0 + for(jj in Looprange(4,Nargs)){ + tmp=varargin[[jj]] + if((length(tmp)>1)||(tmp>1)){ + Np=tmp + if(length(Np)==1){ + Np=c(Np,Np) + } + }else{ + ctr=ctr+1 + if(ctr==1){Eps1=tmp} + if(ctr==2){Eps2=tmp} + } + } + Out=list() + CRVONSFHIDDENDATA<<- list() + for(Nn in Looprange(1,length(FkL))){ + Fk=Op(Nn,FkL) + Tmp=Projpara(Fk) + Par=Partitionseg(Tmp,Fbdy,Eps1,Eps2,0) + for(jj in Looprange(1,length(ADDPOINT))){ + tmp=Parapt(Op(jj,ADDPOINT)) + tmp=Nearestpt(tmp,Projpara(Fk)) + if(tmp[[3]]<Eps1){ + Par=c(Par,tmp[[2]]) + } + } + Par=sort(Par) + Tmp1=Nohiddenpara2(Par,Fk,1,Np,Eps1,Eps2) + Out=c(Out,Tmp1) + CRVONSFHIDDENDATA<<- c(CRVONSFHIDDENDATA,HIDDENDATA) + Tmp=paste('Crvonsfdata',formatC(Nn,width=2,flag="0"),'/',sep='') + Tmp=paste(Tmp,as.character(length(FkL)),' obtained : Time =',sep='') + Tmp1=proc.time()-starttime + print(paste(Tmp,sprintf("%6.3f",Tmp1[1]),sep='')) + } + return(Out) +} + +Crvonsfparadata<- function(...){ + starttime=proc.time() + varargin=list(...) + Nargs=length(varargin) + Fuv=varargin[[1]] + Fbdy3=varargin[[2]] + Fd=varargin[[3]] + Fullformfunc(Fd) + if(!is.list(Fuv)){ + Fuv=list(Fuv) + } + FkL=list() + for(jj in Looprange(1,length(Fuv))){ + tmp1=Op(jj,Fuv) + tmp2=c() + for(kk in Looprange(1,Length(tmp1))){ + tmp=Op(kk,tmp1) + tmp2=Appendrow(tmp2,XYZfunc(tmp[1],tmp[2])) + } + FkL=c(FkL,list(tmp2)) + } + Np=c(50,50) + Eps1=0.01 + Eps2=0.05 + ctr=0 + for(jj in Looprange(4,Nargs)){ + tmp=varargin[[jj]] + if((length(tmp)>1)||(tmp>1)){ + Np=tmp + if(length(Np)==1){ + Np=c(Np,Np) + } + }else{ + ctr=ctr+1 + if(ctr==1){Eps1=tmp} + if(ctr==2){Eps2=tmp} + } + } + Out=Crv3onsfparadata(FkL,Fbdy3,Fd,Np,Eps1,Eps2) + return(Out) +} + +Wireparadata<- function(...){ + starttime=proc.time() + varargin=list(...) + Nargs=length(varargin) + Fbdy3=varargin[[1]] + Fd=varargin[[2]] + FdL=Fullformfunc(Fd) + DuL=varargin[[3]] + DvL=varargin[[4]] + Np=c(50,50) + Eps1=0.01 + Eps2=0.05 + ctr=0 + for(jj in Looprange(5,Nargs)){ + tmp=varargin[[jj]] + if((length(tmp)>1)||(tmp>1)){ + Np=tmp + if(length(Np)==1){ + Np=c(Np,Np) + } + }else{ + ctr=ctr+1 + if(ctr==1){Eps1=tmp} + if(ctr==2){Eps2=tmp} + } + } + if(is.numeric(DuL)){ + tmp1=DuL + DuL=list() + for(jj in Looprange(1,tmp1)){ + tmp=jj*(URNG[2]-URNG[1])/(tmp1+1) + DuL=c(DuL,list(tmp)) + } + } + if(is.numeric(DvL)){ + tmp1=DvL + DvL=list() + for(jj in Looprange(1,tmp1)){ + tmp=jj*(VRNG[2]-VRNG[1])/(tmp1+1) + DvL=c(DvL,list(tmp)) + } + } + Fuv=list() + for(jj in Looprange(1,length(DuL))){ + tmp1=paste("c(",as.character(Op(jj,DuL)),",",VNAME,")",sep="") + tmp2=paste("N=",as.character(Np[2]),sep="") + tmp1=Paramplot(tmp1,Op(6,FdL),tmp2) + tmp2=c() + for(kk in Looprange(1,Length(tmp1))){ + tmp=Op(kk,tmp1) + tmp2=Appendrow(tmp2,tmp) + } + Fuv=c(Fuv,list(tmp2)) + } + FkL=list() + for(jj in Looprange(1,length(Fuv))){ + tmp1=Op(jj,Fuv) + tmp2=c() + for(kk in Looprange(1,Length(tmp1))){ + tmp=Op(kk,tmp1) + tmp2=Appendrow(tmp2,XYZfunc(tmp[1],tmp[2])) + } + FkL=c(FkL,list(tmp2)) + } + Tmp1=proc.time()-starttime + cat(UNAME,"direction started","\n") + Out1=Crv3onsfparadata(FkL,Fbdy3,Fd,Np,Eps1,Eps2) + WIREHIDDENDATA<<- CRVONSFHIDDENDATA + Fuv=list() + for(jj in Looprange(1,length(DvL))){ + tmp1=paste("c(",UNAME,",",as.character(Op(jj,DvL)),")",sep="") + tmp2=paste("N=",as.character(Np[2]),sep="") + tmp1=Paramplot(tmp1,Op(5,FdL),tmp2) + tmp2=c() + for(kk in Looprange(1,Length(tmp1))){ + tmp=Op(kk,tmp1) + tmp2=Appendrow(tmp2,tmp) + } + Fuv=c(Fuv,list(tmp2)) + } + FkL=list() + for(jj in Looprange(1,length(Fuv))){ + tmp1=Op(jj,Fuv) + tmp2=c() + for(kk in Looprange(1,Length(tmp1))){ + tmp=Op(kk,tmp1) + tmp2=Appendrow(tmp2,XYZfunc(tmp[1],tmp[2])) + } + FkL=c(FkL,list(tmp2)) + } + cat(VNAME,"direction started","\n") + Out2=Crv3onsfparadata(FkL,Fbdy3,Fd,Np,Eps1,Eps2) + WIREHIDDENDATA<<- c(WIREHIDDENDATA, CRVONSFHIDDENDATA) + Out=c(Out1,Out2) + return(Out) +} + +Intersectcrvsf<- function(...){ + # bdyeq is the equation of boundary f(x,y,z) =0 + starttime=proc.time() + varargin=list(...) + Nargs=length(varargin) + crv=varargin[[1]] + Fd=varargin[[2]] + Fullformfunc(Fd) + bdyflg=0 + bdyeq=varargin[[Nargs]] + if(is.character(bdyeq)){ + Nargs=Nargs-1 + bdyflg=1 + tmp=strsplit(bdyeq,"=",fixed=TRUE) + tmp=tmp[[1]] + if(length(tmp)>1){ + bdyeq=paste("(",tmp[1],")-(",tmp[2],")",sep="") + } + tmp=paste("bdyeq<- function(P){x=P[1];y=P[2];z=P[3];",bdyeq,"}",sep="") + eval(parse(text=tmp)) + } + Eps0=10^(-4) + Np=c(50,50) + Eps1=0.01 + Eps2=0.05 + ctr=0 + for(jj in Looprange(3,Nargs)){ + tmp=varargin[[jj]] + if((length(tmp)>1)||(tmp>1)){ + Np=tmp + if(length(Np)==1){ + Np=c(Np,Np) + } + }else{ + ctr=ctr+1 + if(ctr==1){Eps1=tmp} + if(ctr==2){Eps2=tmp} + } + } + PtL=list() + for(I in Looprange(1,Length(crv)-1)){ + Pa=Op(I,crv) + Pb=Op(I+1,crv) + if(bdyflg==0){ + tmp=Meetpoints(Pa,Pb,1,Np,Eps1) + }else{ + M1=bdyeq(Pa); M2=bdyeq(Pb) + if(M1*M2>= 0){ #18.02.21 + if(((M1>0) && (M2>0)) || ((M1< 0) && (M2< 0))){ + next + } + if(M1==0){ + tmp=list(Pa) + }else{ + tmp=list(Pb) + } + }else{ + while(Norm(Pb-Pa)>Eps0){ + if(bdyeq(Pa)==0){ + tmp=list(Pa) + break + } + if(bdyeq(Pa)*bdyeq((Pa+Pb)/2)>0){ + Pa=(Pa+Pb)/2 + }else{ + Pb=(Pa+Pb)/2 + } + } + tmp=list(1/(M1-M2)*(-M2*Pa+M1*Pb)) + } + } + PtL=c(PtL,tmp) + } + Tmp=paste('Intersectcrvsf obtained : Time =',sep='') + Tmp1=proc.time()-starttime + print(paste(Tmp,sprintf("%6.3f",Tmp1[1]),sep='')) + return(PtL) +} + +Sfcutparadata<- function(...){ + varargin=list(...) + Nargs=length(varargin) + CutD=varargin[[1]] + Fbdy3=varargin[[2]] + Fd=varargin[[3]] + FdL=Fullformfunc(Fd) + Np=c(50,50) + Eps0=10^(-4) + Eps1=0.01 + Eps2=0.05 + ctr=0 + for(jj in Looprange(4,Nargs)){ + Tmp=varargin[[jj]] + if((length(Tmp)>1)||(Tmp>1)){ + Np=Tmp + if(length(Np)==1){ + Np=c(Np,Np) + } + }else{ + ctr=ctr+1 + if(ctr==1){Eps1=Tmp} + if(ctr==2){Eps2=Tmp} + } + } + starttime=proc.time() + Tmp=strsplit(CutD,'=') + Tmp=Tmp[[1]] + if(length(Tmp)==1){ + Eq=CutD + }else{ + Eq=paste("(",Tmp[1],")-(",Tmp[2],")",sep="") + } + Eq=gsub("x","Xfunc(U,V)",Eq,fixed=TRUE) + Eq=gsub("y","Yfunc(U,V)",Eq,fixed=TRUE) + Eq=gsub("z","Zfunc(U,V)",Eq,fixed=TRUE) + Tmp=paste("Eqfun<<- function(U,V){",Eq,"}",sep="") + eval(parse(text=Tmp)) + Du=(URNG[2]-URNG[1])/Np[1] + Dv=(VRNG[2]-VRNG[1])/Np[2] + Out=list();Out2=list() + for(J in Looprange(1,Np[2])){ + Vval1=VRNG[1]+(J-1)*Dv + Vval2=VRNG[1]+J*Dv + Uval1=URNG[1] #180305(3lines) + Eval11=Eqfun(Uval1,Vval1) + Eval12=Eqfun(Uval1,Vval2) + for(I in Looprange(1,Np[1])){ +# Uval1=URNG[1]+(I-1)*Du + Uval2=URNG[1]+I*Du +# Eval11=Eqfun(Uval1,Vval1) +# Eval12=Eqfun(Uval1,Vval2) + Eval21=Eqfun(Uval2,Vval1) + Eval22=Eqfun(Uval2,Vval2) + a1=Uval1;b1=Vval1;c1=Eval11 + a2=Uval2;b2=Vval1;c2=Eval21 + a3=Uval2;b3=Vval2;c3=Eval22 + a4=Uval1;b4=Vval2;c4=Eval12 + PL=matrix(c(a1,b1,a2,b2,a3,b3,a4,b4,a1,b1),ncol=2,byrow=TRUE) + VL=c(c1,c2,c3,c4,c1) + QL=c() + for(K in 1:4){ + P1=Op(K,PL); P2=Op(K+1,PL) + M1=Op(K,VL); M2=Op(K+1,VL) + if(abs(M1)<Eps0){ + QL=Appendrow(QL,P1) + next + } + if(abs(M2)<Eps0){ +# QL=Appendrow(QL,P2) + next + } + if((M1> 0) && (M2> 0)){ + next + } + if((M1< 0) && (M2< 0)){ + next + } + Tmp=1/(M1-M2)*(-M2*P1+M1*P2) + QL=Appendrow(QL,Tmp) + } + Uval1=Uval2 #180306(3lines) + Eval11=Eval21 + Eval12=Eval22 + if(Length(QL)==2){ + q11=QL[1,1];q12=QL[1,2];q21=QL[2,1];q22=QL[2,2] + if(((q11==a1)&&(q21==a1))||((q11==a3)&&(q21==a3))){ + if(((q21==b1)&&(q22==b1))||((q21==b3)&&(q22==b3))){ + Out2=c(Out2,list(QL)) + }else{ + Out=c(Out,list(QL)) + } + next + } + if(((q12==b1)&&(q22==b1))||((q12==b3)&&(q22==b3))){ + if(((q11==a1)&&(q21==a1))||((q11==a3)&&(q21==a3))){ + Out2=c(Out2,list(QL)) + }else{ + Out=c(Out,list(QL)) + } + next + } + Out=c(Out,list(QL)) + } + } + } + while(length(Out2)>0){ + tmp1=Out2[[1]] + Out=c(Out,list(tmp1)) + Out2=Out2[-1] + rmv=c() + for(jj in Looprange(1,length(Out2))){ + tmp2=Out2[[jj]] + diff1=Norm(tmp2[1,]-tmp1[1,])+Norm(tmp2[2,]-tmp1[2,]) + diff2=Norm(tmp2[1,]-tmp1[2,])+Norm(tmp2[2,]-tmp1[1,]) + if((diff1<Eps0)||(diff2<Eps0)){ + rmv=c(rmv,jj) + next + } + } + Out2=Out2[-rmv] + } + Out=Connectseg(Out,Eps1) + Tmp1=Out + Out=list() + for(ii in Looprange(1,length(Tmp1))){ + Tmp2=Op(ii,Tmp1) + Tmp3=c() + for(jj in Looprange(1,Length(Tmp2))){ + Tmp=Op(jj,Tmp2) + Tmp=XYZfunc(Tmp[1],Tmp[2]) + if(Length(Tmp3)>0){ + if(Norm(Op(Length(Tmp3),Tmp3)-Tmp)<Eps1){next} + } + Tmp3=Appendrow(Tmp3,Tmp) + } + Out=c(Out,list(Tmp3)) + } + Out=Crv3onsfparadata(Out,Fbdy3,Fd,Np,Eps1,Eps2) + return(Out) +} diff --git a/Master/texmf-dist/scripts/ketcindy/ketlib/ketpiccurrent_rep2e.r b/Master/texmf-dist/scripts/ketcindy/ketlib/ketpiccurrent_rep2e.r new file mode 100644 index 00000000000..370339480ae --- /dev/null +++ b/Master/texmf-dist/scripts/ketcindy/ketlib/ketpiccurrent_rep2e.r @@ -0,0 +1,580 @@ +# Copyright (C) 2014 Setsuo Takato, KETCindy Japan project team +# +#This program is free software: you can redistribute it and/or modify +# it under the terms of the GNU General Public License as published by +# the Free Software Foundation; either version 3 of the License, or +# (at your option) any later version. +# +# This program is distributed in the hope that it will be useful, +# but WITHOUT ANY WARRANTY; without even the implied warranty of +# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the +# GNU General Public License for more details. +# +# You should have received a copy of the GNU General Public License +# along with this program. If not, see <http://www.gnu.org/licenses/> + + +######################################### + +ThisVersion<- "2ev5_2_3(17.10.28)" + +# 2017.10.28 +# Drwpt debugged ( Flattenlist ) +# 2017.10.07 +# + +############################################# + +Dottedline<- function(...) +{ + varargin <- list(...) + Nall <- length(varargin) + Nagasa <- 0.1 + Ookisa <- PenThick*2 #17.10.07 + I <- Nall + Tmp <- varargin[[I]] + while (mode(Tmp)=="numeric" && length(Tmp)==1 ) { + I <- I-1 + Tmp <- varargin[[I]] + } + if (I==Nall-1) { + Nagasa<-Nagasa*varargin[[Nall]] + Nall <- Nall-1 + } + if (I==Nall-2) { + Nagasa <- Nagasa*varargin[[Nall-1]] + Ookisa <- round(Ookisa*varargin[[Nall]]) + Nall <- Nall-2 + } + Nagasa <- 1000/2.54/MilliIn*Nagasa + Ra=Ookisa/MilliIn + for (N in 1:Nall) { + Pdata <- varargin[[N]] + if (mode(Pdata)=="numeric") { + Pdata <- list(Pdata) + } + for (II in 1:length(Pdata)) { + Clist <- MakeCurves(Op(II,Pdata)) + DinM <- Dataindex(Clist) + Mojisu=0 + for (n in Looprange(1,Nrow(DinM))) { + Tmp <- DinM[n,] + Data <- Clist[Tmp[1]:Tmp[2],] + Len <- 0 + Lenlist <- c(0) + for (I in Looprange(2,Nrow(Data))) { + Len <- Len+Norm(Data[I,]-Data[I-1,]) + Lenlist <- c(Lenlist,Len) + } + Lenall <- Lenlist[length(Lenlist)] + if (Lenall==0) { + next + } + Naga <- Nagasa + Nten <- round(Lenall/Naga)+1 + if (Nten > 1) { + Seg <- Lenall/(Nten-1) + } + else { + Seg <- Lenall + } + Eps <- 10^(-6)*Seg + PPd<-c() + Hajime <- 1 + for (I in Looprange(0,Nten-1)) { + Len <- Seg*I + if (I>0) { + J <- Hajime + while( Len>=Lenlist[J]+Eps) { + J <- J+1 + } + Hajime <- J-1 + } + T <- (Len-Lenlist[Hajime])/ + (Lenlist[Hajime+1]-Lenlist[Hajime]) + P <- Data[Hajime,]+T*(Data[Hajime+1,]-Data[Hajime,]) + PPd<-Appendrow(PPd,P) + if (I==Nten-1) { + if (Norm(P-Data[1,])<Eps) { + next + } + } + } + for (I in Looprange(1,Nrow(PPd))){ + P<- Op(I,PPd) + if (Nrow(PPd)==1){ + V<- c(1,0) + } + else if (I==1){ + Tmp<- Op(I+1,PPd)-P + V<- 1/Norm(Tmp)*Tmp + } + else if (I==Nrow(PPd)){ + Tmp<- P-Op(I-1,PPd) + V<- 1/Norm(Tmp)*Tmp + } + else{ + Tmp1<- Op(I+1,PPd)-P + Tmp2<- P-Op(I-1,PPd) + Tmp3<-1/Norm(Tmp1)*Tmp1+1/Norm(Tmp2)*Tmp2 + V<- 1/Norm(Tmp3)*Tmp3 + } + X=sprintf('%5.5f',P[1]) + Y=sprintf('%5.5f',P[2]) + Str=paste('\\put(',X,',',Y,'){\\circle*{',sprintf('%6.6f',Ra),'}}',sep="") + cat(Str,file=Wfile,append=TRUE) + Mojisu=Mojisu+nchar(Str) + if(Mojisu>80){ + cat("\n",file=Wfile,append=TRUE) + Mojisu=0 + } + } + } + } + if(Mojisu>0){ + cat("\n",file=Wfile,append=TRUE) + } + } + Tmp<-PenThick/PenThickInit + Setpen(Tmp) +} + + +########################################### + +Drwline<-function(...) +{ + varargin<-list(...) + Nall<-length(varargin) + Thick<-0 + Tmp<-varargin[[Nall]] + if (mode(Tmp)=="numeric" && length(Tmp)==1){ + Setpen(Tmp) + Nall<-Nall-1 + } + for (N in 1:Nall){ + Pdata<-varargin[[N]] + if (length(Pdata)==0) next + if (mode(Pdata)!="list") Pdata<-list(Pdata) + while(Mixtype(Pdata)==3){ + Tmp1<- list() + for(II in Looprange(1,length(Pdata))){ + Tmp1<- Mixjoin(Tmp1,Pdata[[II]]) + } + Pdata<- Tmp1 + } + for (II in Looprange(1,length(Pdata))){ + Clist<-MakeCurves(Pdata[[II]]) + DinM<-Dataindex(Clist) + for (n in Looprange(1,Nrow(DinM))){ + Tmp<-DinM[n,] + Data<-Clist[Tmp[1]:Tmp[2],] + Mojisu<-0 + for (I in Looprange(1,Nrow(Data))){ + Tmp<-Data[I,] + X=sprintf('%5.5f',Tmp[1]) + Y=sprintf('%5.5f',Tmp[2]) + Pt=paste('(',X,',',Y,')',sep="") + if(I==1){ + Str=paste('\\polyline',Pt,sep="") + }else{ + Str=Pt + } + cat(Str,file=Wfile,append=TRUE) + Mojisu<-Mojisu+nchar(Str) + if (Mojisu>80){ + cat("%\n",file=Wfile,append=TRUE) + Mojisu<-0 + } + } + if (Mojisu!=0){ + cat("%\n",file=Wfile,append=TRUE) + } + cat("%\n",file=Wfile,append=TRUE) + } + } + } + if (Thick>0){ + Tmp<-PenThick/PenThickInit + Setpen(Tmp) + } +} + +########################################### + +Drwpt<-function(...) +{ + varargin<-list(...) + Nargs<-length(varargin) + All=Nargs + if (TenSize>TenSizeInit){ + N<- round(6*sqrt(TenSize/TenSizeInit)) + } + else{ + N<-4 + } + Tmp<- varargin[[All]] + Iro=c(0,0,0,1) + Iroflg=0 + if(is.character(Tmp)){ + Iro=Ratiocmyk(Tmp) + Iroflg=1 + All=All-1 + } + Tmp<- varargin[[All]] + if (mode(Tmp)=="numeric"){ + if (length(Tmp)>1){ + Kosa<- 1; All<- Nargs + } + else{ + Kosa<- Tmp; All<- All-1 + } + } + else if (mode(Tmp)=="list"){ + Kosa<- 1; All<- Nargs + } + Ra=TenSize*1000/2.54/MilliIn + if(Iroflg>0){ + Str='{\\color[cmyk]{' + for(J in 1:4){ + Str=paste(Str,as.character(Kosa*Iro[J]),sep="") + if(J<4){ + Str=paste(Str,',',sep="") + } + } + Str=paste(Str,'}%',sep="") + cat(Str,file=Wfile,append=TRUE) + } + +# CL<-c() +# for (J in 0:N){ +# Tmp<- TenSize*0.5*1000/2.54/MilliIn +# Tmp<- Tmp*c(cos(pi/4+J*2*pi/N),sin(pi/4+J*2*pi/N)) +# CL<- append(CL,Tmp) +# } +# CL<- matrix(CL,nrow=2) +# CL<- t(CL) + Mojisu=0 + for (II in Looprange(1,All)){ + MS<- varargin[[II]] + MS=Flattenlist(MS) #17.10.28 + if (mode(MS)=="numeric"){ + MS<- list(MS) + } + for (I in Looprange(1,length(MS))){ + P<- MS[[I]] + if (InWindow(P)!="i") next + P<- Doscaling(P) + X=sprintf('%5.5f',P[1]) + Y=sprintf('%5.5f',P[2]) + Str=paste('\\put(',X,',',Y,'){\\circle*{',sprintf('%6.6f',Ra),'}}',sep="") + cat(Str,file=Wfile,append=TRUE) + Mojisu=Mojisu+nchar(Str) + if(Mojisu>80){ + cat("\n",file=Wfile,append=TRUE) + Mojisu=0 + } + } + } + Str="%" + if(Iroflg>0){ + Str='}%' + } + if(Mojisu>0){ + Str=paste('\n',Str,'\n',sep="") + }else{ + Fmt=paste(Str,'\n',sep="") + } + cat(Str,file=Wfile,append=TRUE) +} + +# PL<-c() +# for (J in 0:N){ +# PL<- c(PL,P+CL[J+1,]) +# } +# PL<-matrix(PL,nrow=2) +# PL<-t(PL) +# Mojisu<-0 +# for (J in 1:Nrow(PL)){ +# Q<- PL[J,] +# X<- as.character(round(MilliIn*Q[1])) +# Y<- as.character(-round(MilliIn*Q[2])) +# Str<- paste("\\special{pa ",X," ",Y,"}",sep="") +# cat(Str,file=Wfile,append=TRUE) +# Mojisu<- Mojisu+nchar(Str) +# if (Mojisu>80){ +# cat("#\n",file=Wfile,append=TRUE) +# } +# Mojisu=0 +# } +# Str1<- paste("\\special{sh ",as.character(Kosa),"}",sep="") +# Str2<- "\\special{fp}%\n" +# cat(Str1,file=Wfile,append=TRUE) +# cat(Str2,file=Wfile,append=TRUE) +# } +# } +#} + +###################################### + +Makehasen<- function(Figdata,Sen,Gap,Ptn) +{ + Eps<- 10.0^(-6) + Clist<- MakeCurves(Figdata) + DinM<- Dataindex(Clist) + for (N in Looprange(1,Nrow(DinM))){ + Tmp<- DinM[N,] + Data<- Clist[Tmp[1]:Tmp[2],] + Dtall<- Nrow(Data) + Len<- 0 + Lenlist<- c(0) + for (I in Looprange(2,Dtall)){ + Len<- Len+Norm(Data[I,]-Data[I-1,]) + Lenlist<- c(Lenlist,Len) + } + Lenall<- Lenlist[Dtall] + if (Lenall==0){ + next + } + Kari<- (Sen+Gap)*0.1 + Naga<- Sen*0.1 + Tobi<- Gap*0.1 + if (Norm(Data[1,]-Data[Dtall,])<Eps){ + Nsen<- max(ceiling(Lenall/Kari),3) + SegUnit<- Lenall/Nsen + Naga<- SegUnit*Sen/(Sen+Gap) + Tobi<- SegUnit*Gap/(Sen+Gap) + SegList<- c(seq(0,(Nsen-1)*SegUnit,by=SegUnit)) + } + else{ + if (Ptn==0){ + Nsen<- max(ceiling((Lenall+Tobi)/Kari),3) + SegUnit<- Lenall*(Sen+Gap)/(Nsen*Sen+(Nsen-1)*Gap) + Naga<- SegUnit*Sen/(Sen+Gap) + Tobi<- SegUnit*Gap/(Sen+Gap) + SegList<- c(seq(0,(Nsen-1)*SegUnit,by=SegUnit)) + } + else{ + Nsen<- max(ceiling((Lenall+Naga)/Kari),3) + SegUnit<- Lenall*(Sen+Gap)/((Nsen-1)*Sen+Nsen*Gap) + Naga<- SegUnit*Sen/(Sen+Gap) + Tobi<- SegUnit*Gap/(Sen+Gap) + SegList<- c(seq(Tobi,Tobi+(Nsen-2)*SegUnit,by=SegUnit)) + } + } + Hajime<- 1; Owari<- 1 + Mojisu<- 0 + for (I in Looprange(1,length(SegList))){ + Len<- SegList[I] + J<- Owari + while (Len>=Lenlist[J]-Eps){ + if (J==Dtall){ + break + } + J<- J+1 + } + Hajime<- J-1 + J<- Hajime + while (Len+Naga>Lenlist[J]-Eps){ + if (J==Dtall){ + break + } + J<- J+1 + } + Owari<- J-1 + T<- (Len-Lenlist[Hajime]) + T<- T/(Lenlist[Hajime+1]-Lenlist[Hajime]) + P<- Data[Hajime,]+T*(Data[Hajime+1,]-Data[Hajime,]) + X0=sprintf('%5.5f',P[1]) + Y0=sprintf('%5.5f',P[2]) + Pt0=paste('(',X0,',',Y0,')',sep="") + Str=paste('\\polyline',Pt0,sep="") + cat(Str,file=Wfile,append=TRUE) + Mojisu<- Mojisu+nchar(Str) + for (J in Looprange(Hajime+1,Owari)){ + P=Data[J,] + X=sprintf('%5.5f',P[1]) + Y=sprintf('%5.5f',P[2]) + Pt=paste('(',X,',',Y,')',sep="") + Str=Pt + cat(Str,file=Wfile,append=TRUE) + Pt0=Pt + Mojisu=Mojisu+nchar(Str) + } + T<- (Len+Naga-Lenlist[Owari]) + T<- T/(Lenlist[Owari+1]-Lenlist[Owari]) + P<- Data[Owari,]+T*(Data[Owari+1,]-Data[Owari,]) + X=sprintf('%5.5f',P[1]) + Y=sprintf('%5.5f',P[2]) + Pt=paste('(',X,',',Y,')',sep="") + Str=Pt + cat(Str,file=Wfile,append=TRUE) + Mojisu<- Mojisu+nchar(Str) + if (Mojisu>80){ + cat("%\n",file=Wfile,append=TRUE) + Mojisu<- 0 + } + } + } + cat("%\n%\n",file=Wfile,append=TRUE); +} + +######################################### + +Beginpicture<-function(ul) +{ ## Scaling is implemented + Tmp<- Doscaling(c(XMIN,YMIN)) + Xm<- Tmp[1] + Ym<- Tmp[2] + Tmp<- Doscaling(c(XMAX,YMAX)) + XM<- Tmp[1] + YM<- Tmp[2] + Dx<- XM-Xm + Dy<- YM-Ym + Sym<-".0123456789 +-*/" + SL<-Sym + OL<-"+-*/" + if (ul!=""){ + ULEN<<-ul; + } + Is<-1; + VL<-""; + Ucode<-ULEN + for (I in Looprange(1,nchar(Ucode))){ + C<-substring(Ucode,I,I); + if (length(grep(C,SL,fixed=TRUE))>0){ + if (length(grep(C,OL,fixed=TRUE))>0){ + Tmp<-substring(Ucode,Is,I-1); + Str<-paste(VL,Tmp,C,sep="") + VL<-Str + Is<-I+1; + } + } + else{ + Unit<-substring(Ucode,I,I+1); + Str<-substring(Ucode,Is,I-1); + VL<-paste(VL,Str,sep="") + break; + } + } + Valu<-eval(parse(text=VL)); + Str<-as.character(Valu); + ULEN<<- paste(Str,Unit,sep=""); + if (Unit=="cm") MilliIn<<-1000/2.54*Valu + if (Unit=="mm") MilliIn<<-1000/2.54*Valu/10 + if (Unit=="in") MilliIn<<-1000*Valu + if (Unit=="pt") MilliIn<<-1000/72.27*Valu + if (Unit=="pc") MilliIn<<-1000/6.022*Valu + if (Unit=="bp") MilliIn<<-1000/72*Valu + if (Unit=="dd2") MilliIn<<-1000/1238/1157/72.27*Valu + if (Unit=="cc") MilliIn<<-1000/1238/1157/72.27*12*Valu; + if (Unit=="sp") MilliIn<<-1000/72.27/65536*Valu/10 + MARKLEN<<- MARKLENNow*1000/2.54/MilliIn; + Str<-paste("{\\unitlength=",ULEN,"%\n",sep=""); + cat(Str,file=Wfile,append=TRUE); + cat("\\begin{picture}%\n",file=Wfile,append=TRUE); + Str<-"("; + Tmp<-as.character(round(Dx,digits=6)); + Str<-paste(Str,Tmp,",",sep=""); + Tmp<-as.character(round(Dy,digits=6)); + Str<-paste(Str,Tmp,")(",sep=""); + Tmp<-as.character(round(Xm,digits=6)); + Str<-paste(Str,Tmp,",",sep=""); + Tmp<-as.character(round(Ym,digits=6)); + Str<-paste(Str,Tmp,")%\n",sep=""); + cat(Str,file=Wfile,append=TRUE); + Str=paste('\\linethickness{',as.character(PenThickInit/1000),'in}%',sep="") + cat(Str,file=Wfile,append=TRUE) + cat("%\n",file=Wfile,append=TRUE) +} + +######################################### + +Setpen<-function(Width) +{ + PenThick<<-round(PenThickInit*Width) + Str=paste('\\linethickness{',as.character(PenThick/1000),'in}%',sep="") + cat(Str,file=Wfile,append=TRUE) + cat("%\n",file=Wfile,append=TRUE) +} + +######################################### + +Shade<- function(...) +{ ## Scaling is implemented + varargin<- list(...) + Nargs<- length(varargin) + Iroflg=0 + if(Nargs>1){ + Iro=varargin[[Nargs]] + if(is.character(Iro)){ + Iroflg=1 + if(length(grep("{",Iro,fixed=TRUE))>0){ + Str=paste("{\\color",Iro,sep="") + } + else{ + Str=paste("{\\color{",Iro,"}",sep="") + } + } + else{ + if(length(Iro)==1){ + Kosa=Iro + } + else{ + Iroflg=1 + if(length(Iro)==4){ + Str="{\\color[cmyk]{" + } + else{ + if(length(Iro)==3){ + Str="{\\color[rgb]{" + } + } + for(J in 1:length(Iro)){ + Str=paste(Str,as.character(Iro[J]),sep="") + if(J<length(Iro)){ + Str=paste(Str,",") + } + } + Str=paste(Str,"}") + } + } + if(Iroflg==1){ + Str=paste(Str,"%\n",sep="") + cat(Str,file=Wfile,append=TRUE) + } + } + Mojisu=0 + Tmp=varargin[[1]] + Data=Kyoukai(Tmp) + for (I in Looprange(1, length(Data))){ + PL<- Op(I,Data) + Mojisu<- 0 + for (J in 1:Nrow(PL)){ + P<- Doscaling(Op(J,PL)) + X=sprintf('%5.5f',P[1]) + Y=sprintf('%5.5f',P[2]) + Pt=paste('(',X,',',Y,')',sep="") + if(J==1){ + Str=paste('\\polygon*',Pt,sep="") + }else{ + Str=Pt + } + cat(Str,file=Wfile,append=TRUE) + Mojisu<- Mojisu+nchar(Str) + if (Mojisu>80){ + cat("%\n",file=Wfile,append=TRUE) + Mojisu<- 0 + } + } + } + if(Iroflg==1){ + Str='}%' + if(Mojisu>0){ + Str=paste('\n',Str,'\n',sep="") + }else{ + Str=paste(Str,'\n') + } + cat(Str,file=Wfile,append=TRUE) + } +} diff --git a/Master/texmf-dist/scripts/ketcindy/ketlib/maximaL/fourier_sec.max b/Master/texmf-dist/scripts/ketcindy/ketlib/maximaL/fourier_sec.max new file mode 100644 index 00000000000..c70f7f465de --- /dev/null +++ b/Master/texmf-dist/scripts/ketcindy/ketlib/maximaL/fourier_sec.max @@ -0,0 +1,260 @@ +/* +Package fourier_sec, to study piecewise defined functions +(sectionally defined, hence the name). + +Author: Jose A. Vallejo + Faculty of Sciences + Universidad Autonoma de San Luis Potosi (Mexico) + http://galia.fc.uaslp.mx/~jvallejo + +It is assumed that the functions are defined using the format + if ... then ... else ... +as, for example, +(%i1) absolute(x):=if (x<=0) then -x elseif (x>0) then x$ +(it will not work with 'abs'). +It provides three functions: +1. 'paritycheck', to check if a given piecewise defined + function is even or odd (or none). For instance, + (%i2) paritycheck(absolute(x),x); + (%o2) 0 + A '0' means 'even', '1' is 'odd', and '-1' is 'none' +2. 'fourier_sec_coeff', to compute the Fourier sine and cosine + coefficients. The function must have compact support.For + instance, for the unit step we have: + (%i3) h(x):=if (-%pi<=x and x<0) then 0 elseif (0<=x and x<=%pi) then 1$ + (%i4) fourier_sec_coeff(h(x),x); + (%o4) [1/2,0,-((-1)^n-1)/(%pi*n)] +3. 'fourier_sec_series', to compute the Fourier series, truncated + or not. The series for the unit step to the 10th order: + (%i5) fourier_sec_series(h(x),x,10); + (%o5) (2*sin(9*x))/(9*%pi)+(2*sin(7*x))/(7*%pi)+(2*sin(5*x))/(5*%pi)+(2*sin(3*x))/(3*%pi)+(2*sin(x))/%pi+1/2 + and the whole Fourier series + (%i6) fourier_sec_series(h(x),x,inf); + (%o6) (sum(((1/n-(-1)^n/n)*sin(n*x))/%pi,n,1,inf))+1/2 +*/ + + +load(fourie)$ + +load(simplify_sum)$ + +paritycheck(funvar,x):=block([subintervals,subvalues,tmp1,tmp2,token1,token0,tmp3, + subvalues_list,subintervals_list,icentral:0,middle,minusmiddle,token2, + side_subintervals_list,L,side_subvalues_list, + zero_subintervals,tmp4,tmp5,non_zero_side_subvalues_list, + non_zero_side_subintervals_list,LL,token3,expr1,expr2], + local(M,N,P,Q,count1,count2,count3,count4), + subintervals:makelist(part(funvar,i),i,makelist(2*k-1,k,1,(length(funvar)-2)/2)), + subvalues:makelist(part(funvar,i),i,makelist(2*k,k,1,(length(funvar)-2)/2)), + for j:1 thru length(subintervals) do (if operatorp(subintervals[j],["<",">","<=",">="]) then tmp1[j]:1 else tmp1[j]:0), + tmp1:makelist(tmp1[j],j,1,length(subintervals)), + tmp2:sublist_indices(tmp1,lambda([x],x=1)), + + /* if length(tmp2)=0 all the subintervals in the domain of funvar are bounded! */ + + if is(equal(length(tmp2),0)) then + ( + subvalues_list:copylist(subvalues), + tmp3:copylist(subintervals), + for j:1 thru length(tmp3) do + ( + M[j]:makelist(part(tmp3[j],k),k,1,length(tmp3[j])), + for m:1 thru 2 do N[j,m]:makelist(part(M[j],m,n),n,1,length(M[j])), + P[j]:append(N[j,1],N[j,2]),Q[j]:sort(delete(x,P[j]),"<") + ), + subintervals_list:makelist(Q[j],j,1,length(tmp3)), + for i:1 thru length(subintervals_list) do (if is(lmin(subintervals_list[i])*lmax(subintervals_list[i])<0) then icentral:i), + if is(icentral>0) then middle:subvalues_list[icentral], + if is(icentral>0) then + (if evenfunp(middle,x) then token2:0 elseif oddfunp(middle,x) then token2:1 else return(-1)) + else + + /* now we analyze what happens if icentral=0, so there are only side intervals */ + + ( + /* as before, there must be an even number of symmetric intervals, otherwise -1 */ + side_subintervals_list:copylist(subintervals_list), + if not(evenp(length(side_subintervals_list))) then return(-1), + L:length(side_subintervals_list)/2, + for k:1 thru L do count1[k]:charfun(is(equal(side_subintervals_list[k],reverse(map("-",side_subintervals_list[2*L+1-k]))))), + if sum(count1[j],j,1,L)#L then return(-1), + side_subvalues_list:copylist(subvalues_list), + for k:1 thru L do count2[k]:charfun(is(equalp(side_subvalues_list[k],ratsubst(-x,x,side_subvalues_list[2*L+1-k])))), + if is(equal(sum(count2[j],j,1,L),L)) then token3:0, + for k:1 thru L do count3[k]:charfun(is(equalp(side_subvalues_list[k],-ratsubst(-x,x,side_subvalues_list[2*L+1-k])))), + if is(equal(sum(count3[j],j,1,L),L)) then token3:1, + if is(not(equalp(token3,0)) and not(equalp(token3,1))) then return(-1) , + return(token3) + ), + + /* and what happens if icentral#0 */ + + side_subintervals_list:delete(subintervals_list[icentral],subintervals_list), + if is(equal(length(side_subintervals_list),0)) then (if is(equal(token1,token2)) then return(token1*token2) else return(-1)), + if not(evenp(length(side_subintervals_list))) then return(-1), + L:length(side_subintervals_list)/2, + for k:1 thru L do count1[k]:charfun(is(equal(side_subintervals_list[k],reverse(map("-",side_subintervals_list[2*L+1-k]))))), + if sum(count1[j],j,1,L)#L then return(-1), + side_subvalues_list:delete(subvalues_list[icentral],subvalues_list), + + /* remove those subintervals in which funvar vanishes */ + + zero_subintervals:sublist_indices(side_subvalues_list,lambda([x],x=0)), + tmp4:copylist(side_subintervals_list), + for j:1 thru length(zero_subintervals) do + (tmp4:delete(side_subintervals_list[zero_subintervals[j]],tmp4)), + non_zero_side_subintervals_list:tmp4, + tmp5:copylist(side_subvalues_list), + for j:1 thru length(zero_subintervals) do + (tmp5:delete(side_subvalues_list[zero_subintervals[j]],tmp5)), + non_zero_side_subvalues_list:tmp5, + + /* if length(non_zero_side_subintervals_list)=0 then we are done just with token2 */ + + if is(equal(length(non_zero_side_subintervals_list),0)) then return(token2), + + /* otherwise, we must also take into account token3 */ + LL:length(non_zero_side_subintervals_list)/2, + for k:1 thru LL do count2[k]:charfun(is(equalp(non_zero_side_subvalues_list[k],ratsubst(-x,x,non_zero_side_subvalues_list[2*LL+1-k])))), + if is(equal(sum(count2[j],j,1,LL),LL)) then token3:0, + for k:1 thru LL do count3[k]:charfun(is(equalp(non_zero_side_subvalues_list[k],-ratsubst(-x,x,non_zero_side_subvalues_list[2*LL+1-k])))), + if is(equal(sum(count3[j],j,1,LL),LL)) then token3:1, + if is(not(equal(token3,0) or equal(token3,1))) then return(-1) elseif + is(token2#token3) then return(-1) + elseif is(equal(token2,0)) then return(0) + elseif is(equal(token2,1)) then return(1) + + ), + + /* we continue here with unbounded intervals */ + + expr1:subvalues[tmp2[1]], + expr2:ratsubst(-x,x,subvalues[tmp2[2]]), + if is(equalp(expr1,expr2)) then token1:0 + elseif is(equalp(expr1,-expr2)) then token1:1 + else return(-1), + + /* the problem when defining token1 is that if the asymptotic value is 0, then it is always token1:0 */ + /* although the function could be odd. To cope with this, we define token0 below */ + + tmp3:makelist(subintervals[i],i,sublist_indices(tmp1,lambda([x],x=0))), + if is(equal(length(tmp3),0)) then return(token1), + subvalues_list:makelist(subvalues[i],i,sublist_indices(tmp1,lambda([x],x=0))), + token0:if member(0,makelist(subvalues[i],i,tmp2)) then 0 else 7, + for j:1 thru length(tmp3) do + ( + M[j]:makelist(part(tmp3[j],k),k,1,length(tmp3[j])), + for m:1 thru 2 do N[j,m]:makelist(part(M[j],m,n),n,1,length(M[j])), + P[j]:append(N[j,1],N[j,2]),Q[j]:sort(delete(x,P[j]),"<") + ), + subintervals_list:makelist(Q[j],j,1,length(tmp3)), + for i:1 thru length(subintervals_list) do (if is(lmin(subintervals_list[i])*lmax(subintervals_list[i])<0) then icentral:i), + if is(icentral>0) then middle:subvalues_list[icentral], + if is(icentral>0) then + (if evenfunp(middle,x) then token2:0 elseif oddfunp(middle,x) then token2:1 else return(-1)) + else + + /* now we analyze what happens if icentral=0, so there are only non-bounded intervals and side intervals */ + + ( + /* as before, there must be an even number of symmetric intervals, otherwise -1 */ + side_subintervals_list:copylist(subintervals_list), + if not(evenp(length(side_subintervals_list))) then return(-1), + L:length(side_subintervals_list)/2, + for k:1 thru L do count1[k]:charfun(is(equal(side_subintervals_list[k],reverse(map("-",side_subintervals_list[2*L+1-k]))))), + if sum(count1[j],j,1,L)#L then return(-1), + side_subvalues_list:copylist(subvalues_list), + for k:1 thru L do count2[k]:charfun(is(equalp(side_subvalues_list[k],ratsubst(-x,x,side_subvalues_list[2*L+1-k])))), + if is(equal(sum(count2[j],j,1,L),L)) then token3:0, + for k:1 thru L do count3[k]:charfun(is(equalp(side_subvalues_list[k],-ratsubst(-x,x,side_subvalues_list[2*L+1-k])))), + if is(equal(sum(count3[j],j,1,L),L)) then token3:1, + if is(not(equal(token3,0)) and not(equal(token3,1))) then return(-1) elseif + is(not(equal(token1,token3)) and not(equal(token0,0))) then return(-1) + elseif is( equal(token0,0) and equal(token3,0)) then return(0) + elseif is( equal(token0,0) and equal(token3,1)) then return(1) + elseif is(not(equal(token0,0)) and equal(token1,token3)) then return(token3) + elseif is(not(equal(token0,0)) and not(equal(token1,token3))) then return(-1) + ), + + /* and what happens if icentral#0 */ + + side_subintervals_list:delete(subintervals_list[icentral],subintervals_list), + if is(equal(length(side_subintervals_list),0)) then (if is(equal(token1,token2)) then return(token1*token2) else return(-1)), + if not(evenp(length(side_subintervals_list))) then return(-1), + L:length(side_subintervals_list)/2, + for k:1 thru L do count1[k]:charfun(is(equal(side_subintervals_list[k],reverse(map("-",side_subintervals_list[2*L+1-k]))))), + if sum(count1[j],j,1,L)#L then return(-1), + side_subvalues_list:delete(subvalues_list[icentral],subvalues_list), + + /* remove those subintervals in which funvar vanishes */ + + zero_subintervals:sublist_indices(side_subvalues_list,lambda([x],x=0)), + tmp4:copylist(side_subintervals_list), + for j:1 thru length(zero_subintervals) do + (tmp4:delete(side_subintervals_list[zero_subintervals[j]],tmp4)), + non_zero_side_subintervals_list:tmp4, + tmp5:copylist(side_subvalues_list), + for j:1 thru length(zero_subintervals) do + (tmp5:delete(side_subvalues_list[zero_subintervals[j]],tmp5)), + non_zero_side_subvalues_list:tmp5, + + /* if length(non_zero_side_subintervals_list)=0 then we are done just with token1 and token2 */ + + if is(equal(length(non_zero_side_subintervals_list),0)) then (if is(equal(token1,token2)) then return(token1*token2) else return(-1)), + + /* otherwise, we must also take into account token3 */ + LL:length(non_zero_side_subintervals_list)/2, + for k:1 thru LL do count2[k]:charfun(is(equalp(non_zero_side_subvalues_list[k],ratsubst(-x,x,non_zero_side_subvalues_list[2*LL+1-k])))), + if is(equal(sum(count2[j],j,1,LL),LL)) then token3:0, + for k:1 thru LL do count3[k]:charfun(is(equalp(non_zero_side_subvalues_list[k],-ratsubst(-x,x,non_zero_side_subvalues_list[2*LL+1-k])))), + if is(equal(sum(count3[j],j,1,LL),LL)) then token3:1, + if is(not(equal(token0,0)) and is(not(equal(token1,token2)) or not(equal(token1,token3)) or not(equal(token2,token3))) ) then return(-1) + elseif is(not(equal(token0,0)) and is(equal(token1,0)) ) then return(0) + elseif is(not(equal(token0,0)) and is(equal(token1,1)) ) then return(1) + elseif is( equal(token0,0) and equal(token3,0) and equal(token2,0)) then return(0) + elseif is( equal(token0,0) and equal(token3,1) and equal(token2,1)) then return(1) + else return(-1) + +)$ + +fourier_sec_coeff(fuvar,x):= +block([pp,LL,lm,a0,coeff], + local(a,b,n,MM,NN,PP,QQ), + declare(n,integer), + pp:((length(fuvar)/2)-1), + LL:makelist(part(fuvar,i),i,makelist(2*s-1,s,1,pp)), + for j:1 thru length(LL) step 1 do + ( + MM[j]:makelist(part(LL[j],r),r,1,length(LL[j])), + for r:1 thru 2 do NN(j,r):=makelist(part(MM[j],r,k),k,1,length(MM[j])), + PP[j]:append(NN(j,1),NN(j,2)),QQ[j]:delete(x,PP[j]) + ), + for i:1 thru pp step 1 do partsums[i]:sort(QQ[i],"<"), + for i:1 thru pp step 1 do partfunc[i]:part(fuvar,2*i), + lm:lmax(unique(flatten(makelist(QQ[q],q,1,length(LL))))), + a0:(1/(2*lm))*sum(integrate(partfunc[i],x,partsums[i][1],partsums[i][2]),i,1,pp), + if is(equal(paritycheck(fuvar,x),1)) then a(n):=0 else a(n):=(1/lm)*sum(adefint(partfunc[i]*cos(%pi*n*x/lm),x,partsums[i][1],partsums[i][2]),i,1,pp), + if is(equal(paritycheck(fuvar,x),0)) then b(n):=0 else b(n):=(1/lm)*sum(adefint(partfunc[i]*sin(%pi*n*x/lm),x,partsums[i][1],partsums[i][2]),i,1,pp), + coeff:[a0,simplify_sum(a(n)),simplify_sum(b(n))], + factor(ratsimp(coeff)) +)$ + +fourier_sec_series(fuvar,x,u):= +block([pp,LL,lm,a0,coeff], + local(a,b,n,MM,NN,PP,QQ), + declare(n,integer), + pp:((length(fuvar)/2)-1), + LL:makelist(part(fuvar,i),i,makelist(2*s-1,s,1,pp)), + for j:1 thru length(LL) step 1 do + ( + MM[j]:makelist(part(LL[j],r),r,1,length(LL[j])), + for r:1 thru 2 do NN(j,r):=makelist(part(MM[j],r,k),k,1,length(MM[j])), + PP[j]:append(NN(j,1),NN(j,2)),QQ[j]:delete(x,PP[j]) + ), + for i:1 thru pp step 1 do partsums[i]:sort(QQ[i],"<"), + for i:1 thru pp step 1 do partfunc[i]:part(fuvar,2*i), + lm:lmax(unique(flatten(makelist(QQ[q],q,1,length(LL))))), + a0:(1/(2*lm))*sum(integrate(partfunc[i],x,partsums[i][1],partsums[i][2]),i,1,pp), + if is(equal(paritycheck(fuvar,x),1)) then a(n):=0 else a(n):=(1/lm)*sum(adefint(partfunc[i]*cos(%pi*n*x/lm),x,partsums[i][1],partsums[i][2]),i,1,pp), + if is(equal(paritycheck(fuvar,x),0)) then b(n):=0 else b(n):=(1/lm)*sum(adefint(partfunc[i]*sin(%pi*n*x/lm),x,partsums[i][1],partsums[i][2]),i,1,pp), + a0+intosum(sum(a(n)*cos(%pi*n*x/lm),n,1,u))+intosum(sum(b(n)*sin(%pi*n*x/lm),n,1,u)))$
\ No newline at end of file diff --git a/Master/texmf-dist/scripts/ketcindy/ketlib/maximaL/matoperation.max b/Master/texmf-dist/scripts/ketcindy/ketlib/maximaL/matoperation.max new file mode 100644 index 00000000000..512a9ffb665 --- /dev/null +++ b/Master/texmf-dist/scripts/ketcindy/ketlib/maximaL/matoperation.max @@ -0,0 +1,47 @@ +/* Maxima tips http://www.cymric.jp/maxima/tips.html */ + +rowmult(X, n, c) := block([M], + M:matrix(), + for i:1 thru length(X) do + if i=n then M:addrow(M, c*row(X, i)) + else M:addrow(M, row(X, i)), + M +); +rowadd(X, n, m, c) := block([M], + M:matrix(), + for i:1 thru length(X) do + if i=n then M:addrow(M, c * row(X, m) + row(X, i)) + else M:addrow(M, row(X, i)), + M +); +rowch(X, m, n) := block([M], + M:matrix(), + for i:1 thru length(X) do + if i=m then M:addrow(M, row(X, n)) + else if i=n then M:addrow(M, row(X, m)) + else M:addrow(M, row(X, i)), + M +); + +colmult(X, n, c) := block([M], + M:matrix(), + for i:1 thru length(transpose(X)) do + if i=n then M:addcol(M, c*col(X, i)) + else M:addcol(M, col(X, i)), + M +); +coladd(X, n, m, c) := block([M], + M:matrix(), + for i:1 thru length(transpose(X)) do + if i=n then M:addcol(M, c * col(X, m) + col(X, i)) + else M:addcol(M, col(X, i)), + M +); +colch(X, m, n) := block([M], + M:matrix(), + for i:1 thru length(transpose(X)) do + if i=m then M:addcol(M, col(X, n)) + else if i=n then M:addcol(M, col(X, m)) + else M:addcol(M, col(X, i)), + M +); diff --git a/Master/texmf-dist/scripts/ketcindy/ketlib/maximaL/poincare.mac b/Master/texmf-dist/scripts/ketcindy/ketlib/maximaL/poincare.mac new file mode 100644 index 00000000000..aefab3a21a0 --- /dev/null +++ b/Master/texmf-dist/scripts/ketcindy/ketlib/maximaL/poincare.mac @@ -0,0 +1,71 @@ +/* Poincare.mac is a set of routines for the computation +of Poincare surfaces of sections of Hamiltonian systems */ + +/* Author: Jose A Vallejo +Universidad Autonoma de San Luis Potosi (Mexico) +josanv@gmail.com */ + +/* To avoid messages when loading draw, execute +with_stdout("/dev/null",load(draw))$ (in Linux) +with_stdout("NUL",load(draw))$ (in Windows) */ + +/* Poincare.mac requires a compiled version of +rkfun.lisp, a LISP implementation of the RK4 +algorithm due to Richard Fateman. The original +code can be downloaded from +https://people.eecs.berkeley.edu/~fateman/lisp/rkfun.lisp */ + +/*load("rkfun.fasl");*/ +/*load("rkfun.lisp");*/ + + +hameqs(H,name):=block( +[vv,t,tvv,n,Q,P,eqq,eqp,eqs], +vv:args(lhs(apply(fundef,[H]))), +tvv:cons(t,vv), +n:length(vv)/2, +Q:makelist(vv[2*j-1],j,1,n), +P:makelist(vv[2*k],k,1,n), +eqq:makelist(float(diff(apply(H,vv),P[j])),j,1,n), +eqp:makelist(float(-diff(apply(H,vv),Q[j])),j,1,n), +eqs:join(eqq,eqp), +for j:1 thru 2*n do define(funmake(concat(name,j),tvv),block([],mode_identity(float,vv),eqs[j])), +apply(compile,makelist(concat(name,j),j,1,2*n)), +[makelist(apply(concat(name,j),tvv),j,1,2*n),vv,makelist(concat(name,j),j,1,2*n)] +)$ + +lextract(ll,n):=block([l,a,b], +l:length(ll), +a:rest(ll,n), +b:rest(ll,n-l-1), +append(b,a) +)$ + +poincare3d(H,name,inicond,timestep,coord):=block( +[heq,vars,tvars,hfuns,c,sol], +heq:hameqs(H,name), +vars:heq[2], +tvars:cons(t,vars), +hfuns:heq[3], +c:first(sublist_indices(vars,lambda([x],x=coord))), +sol:rkfun(hfuns,tvars,float(inicond),timestep), +map(lambda([x],lextract(x,c)),map(lambda([x],rest(x)),sol)) +)$ + +poincare2d(H,name,inicond,timestep,scene):=block( +[heq,vars,tvars,hfuns,solu,c,soluc,sola,solb,subind,sol,e,f], +heq:hameqs(H,name), +vars:heq[2], +tvars:cons(t,vars), +hfuns:heq[3], +solu:rkfun(hfuns,tvars,float(inicond),timestep), +c:first(sublist_indices(vars,lambda([x],x=first(scene)))), +soluc:map(lambda([x],x[c+1]),solu), +sola:rest(soluc,-1)-second(scene), +solb:rest(soluc)-second(scene), +subind:sublist_indices(sola*solb,lambda([x],is(x < 0))), +sol:makelist(solu[k],k,subind), +e:first(sublist_indices(vars,lambda([x],x=third(scene))))+1, +f:first(sublist_indices(vars,lambda([x],x=fourth(scene))))+1, +makelist([j[e],j[f]],j,sol) +)$
\ No newline at end of file diff --git a/Master/texmf-dist/scripts/ketcindy/ketlib/maximaL/rkfun.lisp b/Master/texmf-dist/scripts/ketcindy/ketlib/maximaL/rkfun.lisp new file mode 100644 index 00000000000..70aafc7fffd --- /dev/null +++ b/Master/texmf-dist/scripts/ketcindy/ketlib/maximaL/rkfun.lisp @@ -0,0 +1,99 @@ +;; variation on runge-kutta (rk) routine in complex_dynamics.lisp by villate@fe.up.pt +;; this one with changed by fateman@berkeley.edu + +#| rkfun may be much faster than rk because it calls compiled programs. + rkfun (this file) should also be compiled to speed it up. + how to use: + + + first, read and understand the documentation for rk(). + next, define the ODE right hand sides as functions as shown below + +fun1(y,x,x0):= x0$ +fun2(y,x,x0):= block([], mode_declare([y, x0,x],float),(1-x^2)*x0-x); +compile(fun1)$ +compile(fun2)$ +showtime:all$ + +last(rkfun([fun1,fun2],[x,xdot],[0.0,0.6],[t,0,50,0.01])); + +/* which is, in one test, 18 times faster than */ + +last(rk([xdot,(1-x^2)*xdot -x],[x,xdot],[0.0,0.6],[t,0,50,0.01])); + +|# + +(defun $rkfun (funs vars initial domain ;; taken from complex_dynamics.lisp + &aux d u funlist k1 k2 k3 k4 r1 r2 r3 traj r + (it (mapcar #'coerce-float (cddr domain)))) + (unless ($listp funs) (setq funs `((mlist) ,funs))) + (unless ($listp initial) (setq initial `((mlist) ,initial))) + (unless ($listp vars) (setq vars `((mlist) ,vars))) + (dolist (var (cdr vars)) + (unless (symbolp var) + (merror (intl:gettext "rk: variable name expected; found: ~M") var))) + (unless (symbolp (cadr domain)) + (merror (intl:gettext "rk: variable name expected; found: ~M") + (cadr domain))) + (setq vars (append '((mlist)) (list (cadr domain)) (cdr vars))) + (setq r (append `(,(car it)) (mapcar #'coerce-float (cdr initial)))) + (setq funlist (cdr funs)) + + (setq d (/ (- (cadr it) (car it)) (caddr it))) + (setq traj (list (cons '(mlist) r))) + (do ((m 1 (1+ m))) ((> m d)) + (progn ;;; was ignore-errors + (setq k1 (mapcar #'(lambda (x) (apply x r)) funlist)) + (setq r1 (map 'list #'+ (cdr r) (mapcar #'(lambda (x) (* 0.5d0 (caddr it) x)) k1))) + (push (+ (car r) (/ (caddr it) 2)) r1) + (setq k2 (mapcar #'(lambda (x) (apply x r1)) funlist)) + (setq r2 (map 'list #'+ (cdr r) (mapcar #'(lambda (x) (* 0.5d0(caddr it) x)) k2))) + (push (+ (car r) (/ (caddr it) 2)) r2) + (setq k3 (mapcar #'(lambda (x) (apply x r2)) funlist)) + (setq r3 (map 'list #'+ (cdr r) (mapcar #'(lambda (x) (* (caddr it) x)) k3))) + (push (+ (car r) (caddr it)) r3) + (setq k4 (mapcar #'(lambda (x) (apply x r3)) funlist)) + (setq u (map 'list #'+ + (mapcar #'(lambda (x) (* #.(/ 1.0 6.0d0) x)) k1) + (mapcar #'(lambda (x) (* #.(/ 1.0 3.0d0) x)) k2) + (mapcar #'(lambda (x) (* #.(/ 1.0 3.0d0) x)) k3) + (mapcar #'(lambda (x) (* #.(/ 1.0 6.0d0) x)) k4))) + (setq r + (append + `(,(+ (car it) (* m (caddr it)))) + (map 'list #'+ (cdr r) (mapcar #'(lambda (x) (* (caddr it) x)) u)))) + (push (cons '(mlist) r) traj))) + (when (< (car r) (cadr it)) + (let ((s (- (cadr it) (car r))) ) + (declare(double-float s)(special s)(optimize (speed 3)(safety 0))) + (progn ;; was ignore-errors + (setq k1 (mapcar #'(lambda (x) (mapply x r nil)) funlist)) + (setq r1 (map 'list #'+ (cdr r) (mapcar #'(lambda (x) + (declare(double-float x)) + (* s 0.5d0 x)) k1))) + (push (+ (car r) (* 0.5d0 s)) r1) + (setq k2 (mapcar #'(lambda (x) (mapply x r1 nil)) funlist)) + (setq r2 (map 'list #'+ (cdr r) (mapcar #'(lambda (x)(declare(double-float x)) + (* s 0.5d0 x)) k2))) + (push (+ (car r) (* 0.5d0 s)) r2) + (setq k3 (mapcar #'(lambda (x) (mapply x r2 nil)) funlist)) + (setq r3 (map 'list #'+ (cdr r) (mapcar #'(lambda (x)(declare(double-float x)) + (* s x)) k3))) + (push (+ (car r) s) r3) + (setq k4 (mapcar #'(lambda (x) (mapply x r3 nil)) funlist)) + (setq u (map 'list #'+ + (mapcar #'(lambda (x)(declare(double-float x)) + (* #.(/ 1.0d0 6.0d0) x)) k1) + (mapcar #'(lambda (x)(declare(double-float x)) + (* #.(/ 1.0d0 3.0d0) x)) k2) + (mapcar #'(lambda (x) (declare(double-float x)) + (* #.(/ 1.0d0 3.0d0) x)) k3) + (mapcar #'(lambda (x)(declare(double-float x)) + (* #.(/ 1.0d0 6.0d0) x)) k4))) + (setq r + (append + `(,(cadr it)) + (map 'list #'+ (cdr r) (mapcar #'(lambda (x)(declare(double-float x)) + (* s x)) u)))) + (push (cons '(mlist) r) traj)))) + (cons '(mlist) (nreverse traj)))
\ No newline at end of file diff --git a/Master/texmf-dist/scripts/ketcindy/ketlib/oshima/os_muldif.pdf b/Master/texmf-dist/scripts/ketcindy/ketlib/oshima/os_muldif.pdf Binary files differnew file mode 100644 index 00000000000..33864232e43 --- /dev/null +++ b/Master/texmf-dist/scripts/ketcindy/ketlib/oshima/os_muldif.pdf diff --git a/Master/texmf-dist/scripts/ketcindy/ketlib/oshima/os_muldif.rr b/Master/texmf-dist/scripts/ketcindy/ketlib/oshima/os_muldif.rr new file mode 100644 index 00000000000..ba7131ab35f --- /dev/null +++ b/Master/texmf-dist/scripts/ketcindy/ketlib/oshima/os_muldif.rr @@ -0,0 +1,19295 @@ +/* The latest version will be at ftp://akagi.ms.u-tokyo.ac.jp/pub/math/muldif + scp os_muldif.[dp]* ${USER}@lemon.math.kobe-u.ac.jp:/home/web/OpenXM/Current/doc/other-docs +*/ +#define USEMODULE 1 +/* #undef USEMODULE */ + +/* os_muldif.rr (Library for Risa/Asir) + * Toshio Oshima (Nov. 2007 - Aug. 2017) + * + * For polynomials and differential operators with coefficients + * in rational funtions (See os_muldif.pdf) + * + * "Tab = 4 column" is best + */ + +ord([zz,dz,dy,dx])$ + +#ifdef USEMODULE +module os_md; +static Muldif.rr$ +static TeXEq$ +static TeXLim$ +static DIROUT$ +static DIROUTD$ +static DVIOUTL$ +static DVIOUTA$ +static DVIOUTB$ +static DVIOUTH$ +static DVIOUTF$ +static LCOPT$ +static COLOPT$ +static LPOPT$ +static LFOPT$ +static ErMsg$ +static FLIST$ +static IsYes$ +static XYPrec$ +static XYcm$ +static TikZ$ +static XYLim$ +static Canvas$ +static ID_PLOT$ +static Rand$ +static LQS$ +localf spType2$ +localf erno$ +localf chkfun$ +localf makev$ +localf shortv$ +localf makenewv$ +localf vweyl$ +localf mycat$ +localf mycat0$ +localf fcat$ +localf findin$ +localf countin$ +localf mycoef$ +localf mydiff$ +localf myediff$ +localf m2l$ +localf m2ll$ +localf mydeg$ +localf pfctr$ +localf mymindeg$ +localf m1div$ +localf mulsubst$ +localf cmpsimple$ +localf simplify$ +localf monotos$ +localf minustos$ +localf monototex$ +localf vnext$ +localf ldict$ +localf ndict$ +localf nextsub$ +localf nextpart$ +localf transpart$ +localf trpos$ +localf sprod$ +localf sinv$ +localf slen$ +localf sord$ +localf vprod$ +localf dvangle$ +localf dvprod$ +localf dnorm$ +localf mulseries$ +localf pluspower$ +localf vtozv$ +localf dupmat$ +localf matrtop$ +localf mytrace$ +localf mydet$ +localf mperm$ +localf mtranspose$ +localf mtoupper$ +localf mydet2$ +localf myrank$ +localf meigen$ +localf transm$ +localf vgen$ +localf mmc$ +localf lpgcd$ +localf mdivisor$ +localf mdsimplify$ +localf m2mc$ +localf easierpol$ +localf paracmpl$ +localf mykernel$ +localf myimage$ +localf mymod$ +localf mmod$ +localf ladd$ +localf lchange$ +localf llsize$ +localf llbase$ +localf lsort$ +localf lmax$ +localf lmin$ +localf lgcd$ +localf llcm$ +localf ldev$ +localf lsol$ +localf lnsol$ +localf l2p$ +localf m2v$ +localf lv2m$ +localf m2lv$ +localf s2m$ +localf c2m$ +localf m2diag$ +localf myinv$ +localf madjust$ +localf mpower$ +localf mrot$ +localf texlen$ +localf isdif$ +localf fctrtos$ +localf texlim$ +localf fmult$ +localf radd$ +localf getel$ +localf ptol$ +localf rmul$ +localf mtransbys$ +localf drawopt$ +localf execdraw$ +localf execproc$ +localf myswap$ +localf mysubst$ +localf evals$ +localf myval$ +localf myeval$ +localf mydeval$ +localf myfeval$ +localf myf2eval$ +localf myf3eval$ +localf myfdeval$ +localf myf2deval$ +localf myf3deval$ +localf myexp$ +localf mycos$ +localf mysin$ +localf mytan$ +localf myarg$ +localf myasin$ +localf myacos$ +localf myatan$ +localf mylog$ +localf mypow$ +localf scale$ +localf arg$ +localf sqrt$ +localf gamma$ +localf lngamma$ +localf digamma$ +localf dilog$ +localf zeta$ +localf eta$ +localf jell$ +localf frac$ +localf erfc$ +localf orthpoly$ +localf schurpoly$ +localf fouriers$ +localf todf$ +localf f2df$ +localf df2big$ +localf compdf$ +localf fzero$ +localf fmmx$ +localf flim$ +localf fcont$ +localf fresidue$ +localf mmulbys$ +localf appldo$ +localf appledo$ +localf muldo$ +localf jacobian$ +localf hessian$ +localf wronskian$ +localf adj$ +localf laplace1$ +localf laplace$ +localf mce$ +localf mc$ +localf rede$ +localf ad$ +localf add$ +localf vadd$ +localf addl$ +localf cotr$ +localf rcotr$ +localf muledo$ +localf mulpdo$ +localf transpdosub$ +localf transpdo$ +localf translpdo$ +localf rpdiv$ +localf mygcd$ +localf mylcm$ +localf sftpexp$ +localf applpdo$ +localf tranlpdo$ +localf divdo$ +localf qdo$ +localf sqrtdo$ +localf ghg$ +localf ev4s$ +localf b2e$ +localf sftpow$ +localf sftpowext$ +localf polinsft$ +localf pol2sft$ +localf polroots$ +localf fctri$ +localf binom$ +localf expower$ +localf seriesHG$ +localf seriesMc$ +localf seriesTaylor$ +localf evalred$ +localf toeul$ +localf fromeul$ +localf sftexp$ +localf fractrans$ +localf soldif$ +localf chkexp$ +localf sqrtrat$ +localf getroot$ +localf expat$ +localf polbyroot$ +localf polbyvalue$ +localf pcoef$ +localf prehombf$ +localf prehombfold$ +localf sub3e$ +localf fuchs3e$ +localf okubo3e$ +localf eosub$ +localf even4e$ +localf odd5e$ +localf extra6e$ +localf rigid211$ +localf solpokuboe$ +localf stoe$ +localf dform$ +localf polinvsym$ +localf polinsym$ +localf tohomog$ +localf substblock$ +localf okuboetos$ +localf heun$ +localf fspt$ +localf abs$ +localf sgn$ +localf calc$ +localf isint$ +localf israt$ +localf iscrat$ +localf isalpha$ +localf isnum$ +localf isalphanum$ +localf isdecimal$ +localf isvar$ +localf isyes$ +localf isall$ +localf iscoef$ +localf iscombox$ +localf sproot$ +localf spgen$ +localf chkspt$ +localf cterm$ +localf terms$ +localf polcut$ +localf redgrs$ +localf cutgrs$ +localf mcgrs$ +localf mc2grs$ +localf mcmgrs$ +localf anal2sp$ +localf delopt$ +localf str_char$ +localf str_pair$ +localf str_cut$ +localf str_str$ +localf str_subst$ +localf str_times$ +localf str_tb$ +localf strip$ +localf i2hex$ +localf sjis2jis$ +localf jis2sjis$ +localf s2os$ +localf l2os$ +localf r2os$ +localf s2euc$ +localf s2sjis$ +localf r2ma$ +localf evalma$ +localf ssubgrs$ +localf verb_tex_form$ +localf tex_cuteq$ +localf my_tex_form$ +localf texket$ +localf smallmattex$ +localf divmattex$ +localf dviout0$ +localf myhelp$ +localf isMs$ +localf showbyshell$ +localf readcsv$ +localf tocsv$ +localf getbyshell$ +localf show$ +localf dviout$ +localf rtotex$ +localf mtotex$ +localf ltotex$ +localf texbegin$ +localf texcr$ +localf texsp$ +localf getbygrs$ +localf mcop$ +localf shiftop$ +localf conf1sp$ +localf pgen$ +localf diagm$ +localf mgen$ +localf madj$ +localf newbmat$ +localf unim$ +localf pfrac$ +localf cfrac$ +localf cfrac2n$ +localf sqrt2rat$ +localf s2sp$ +localf sp2grs$ +localf fimag$ +localf trig2exp$ +localf intpoly$ +localf integrate$ +localf simplog$ +localf fshorter$ +localf isshortneg$ +localf intrat$ +localf powsum$ +localf bernoulli$ +localf lft01$ +localf linfrac01$ +localf nthmodp$ +localf issquaremodp$ +localf rootmodp$ +localf rabin$ +localf primroot$ +localf varargs$ +localf ptype$ +localf pfargs$ +localf average$ +localf sint$ +localf frac2n$ +localf xyproc$ +localf xypos$ +localf xyput$ +localf xybox$ +localf xyline$ +localf xylines$ +localf xycirc$ +localf xybezier$ +localf lbezier$ +localf draw_bezier$ +localf tobezier$ +localf velbezier$ +localf ptbezier$ +localf cutf$ +localf fsum$ +localf fint$ +localf periodicf$ +localf cmpf$ +localf areabezier$ +localf saveproc$ +localf xygraph$ +localf xy2graph$ +localf addIL$ +localf xy2curve$ +localf xygrid$ +localf xyarrow$ +localf xyarrows$ +localf xyang$ +localf xyoval$ +localf ptcommon$ +localf ptcopy$ +localf ptaffine$ +localf ptlattice$ +localf ptpolygon$ +localf ptwindow$ +localf ptbbox$ +localf lninbox$ +localf ptcombezier$ +localf ptcombz$ +localf lchange$ +localf init$ +localf powprimroot$ +localf distpoint$ +localf ntable$ +localf keyin$ +localf mqsub$ +localf msort$ +#else +extern Muldif.rr$ +extern TeXEq$ +extern TeXLim$ +extern DIROUT$ +extern DIROUTD$ +extern DVIOUTL$ +extern DVIOUTA$ +extern DVIOUTB$ +extern DVIOUTH$ +extern DVIOUTF$ +static LCOPT$ +static COLOPT$ +static LPOPT$ +static LFOPT$ +extern TikZ$ +extern ErMsg$ +extern FLIST$ +extern IsYes$ +extern XYPrec$ +extern XYcm$ +extern TikZ$ +extern XYLim$ +extern Canvas$ +extern ID_PLOT$ +extern Rand$ +extern LQS$ +#endif +static S_Fc,S_Dc,S_Ic,S_Ec,S_EC,S_Lc$ +static S_FDot$ +extern AMSTeX$ +Muldif.rr="00170825"$ +AMSTeX=1$ +TeXEq=5$ +TeXLim=80$ +TikZ=0$ +XYcm=0$ +XYPrec=3$ +XYLim=4$ +Rand=0$ +DIROUT="%HOME%\\tex"$ +DVIOUTL="%ASIRROOT%\\bin\\risatex0.bat"$ +DVIOUTA="%ASIRROOT%\\bin\\risatex.bat"$ +DVIOUTB="%ASIRROOT%\\bin\\risatex1%TikZ%.bat"$ +DVIOUTH="start dviout -2 -hyper=0x90 \"%ASIRROOT%\\help\\os_muldif.dvi\" #%LABEL%"$ +DVIOUTF=0$ +LCOPT=["red","green","blue","yellow","cyan","magenta","black","white","gray"]$ +COLOPT=[0xff,0xff00,0xff0000,0xffff,0xffff00,0xff00ff,0,0xffffff,0xc0c0c0]$ +LPOPT=["above","below","left","right"]$ +LFOPT=["very thin","thin","dotted","dashed"]$ +Canvas=[400,400]$ +LQS=[[1,0]]$ + +ErMsg = newvect(3,[ + "irregal argument", /* 0 */ + "too big size", /* 1 */ + "irregal option" /* 2 */ +])$ +FLIST=0$ +IsYes=[]$ +ID_PLOT=-1$ + +def erno(N) +{ + /* extern ErMsg; */ + print(ErMsg[N]); +} + +def chkfun(Fu, Fi) +{ + /* extern FLIST; */ + /* extern Muldif.rr; */ + + if(type(Fu) <= 1){ + if(Fu==1) + mycat(["Loaded os_muldif Ver.", Muldif.rr, "(Toshio Oshima)"]); + else + mycat(["Risa/Asir Ver.", version()]); + return 1; + } + if(type(FLIST) < 4) + FLIST = flist(); + if(type(Fu) == 4){ + for(; Fu != [] ;Fu = cdr(Fu)) + if(chkfun(car(Fu),Fi) == 0) return 0; + return 1; + } + if(findin(Fu, FLIST) >= 0) + return 1; + FLIST = flist(); + if(findin(Fu, FLIST) >= 0) + return 1; + if(type(Fi)==7){ + mycat0(["load(\"", Fi,"\") -> try again!\n"],1); + load(Fi); + } + return 0; +/* + if(type(Fi) == 7) + Fi = [Fi]; + for( ; Fi != []; Fi = cdr(Fi)) + load(car(Fi)); + FLIST = flist(); + return (findin(Fu,FLIST)>=0)?1:0; +*/ +} + +def makev(L) +{ + S = ""; + Num=getopt(num); + while(length(L) > 0){ + VL = car(L); L = cdr(L); + if(type(VL) == 7) + S = S+VL; + else if(type(VL) == 2 || VL < 10) + S = S+rtostr(VL); + else if(VL<46 && Num!=1) + S = S+asciitostr([VL+87]); + else + S = S+rtostr(VL); + } + return strtov(S); +} + +def makenewv(L) +{ + if((V=getopt(var))<2) V="z_"; + else if(isvar(V)) V=rtostr(V); + if(type(N=getopt(num))!=1) N=0; + Var=varargs(L|all=2); + for(XX=[],I=J=0;;I++){ + X=strtov(V+rtostr(I)); + if(findin(X,Var)<0){ + XX=cons(X,XX); + if(++J>N) return X; + else if(J==N) return reverse(XX); + } + } +} + +def shortv(P,L) +{ + V=vars(P); + if(type(T=getopt(top))==2) T=strtoascii(rtostr(T))[0]-87; + else T=10; + for(;L!=[];L=cdr(L)){ + for(J=0;J<36;J++){ + if(findin(X=makev([car(L),J]|num=1),V)>=0){ + while(findin(Y=makev([T]),V)>=0) T++; + if(T>35) return P; + P=subst(P,X,Y); + T++; + }else if(J>0) break; + } + } + return P; +} + +def vweyl(L) +{ + if(type(L) == 4){ + if(length(L) == 2) + return L; + else + return [L[0],makev(["d",L[0]])]; + } + /* else if(type(L)<2) return L; */ + return [L,makev(["d", L])]; +} + +def mycat(L) +{ + if(type(L) != 4){ + print(L); + return; + } + Opt = getopt(delim); + Del = (type(Opt) >= 0)?Opt:" "; + Opt = getopt(cr); + CR = (type(Opt) >= 0)?0:1; + while(L != []){ + if(Do==1) + print(Del,0); + print(car(L),0); + L=cdr(L); + Do = 1; + } + if(CR) print(""); +} + +def fcat(S,X) +{ + if(type(S)!=7){ + if(type(DIROUTD)!=7){ + DIROUTD=str_subst(DIROUT,["%HOME%","%ASIRROOT%","\\"], + [getenv("HOME"),get_rootdir(),"/"])+"/"; + if(isMs()) DIROUTD=str_subst(DIROUTD,"/","\\"|sjis=1); + } + if(S==-1) return; + T="fcat"; + if(S>=2&&S<=9) T+=rtostr(S); + T=DIROUTD+T+".txt"; + if(S==-1) return T; + if(S!=0&&access(T)) remove_file(T); + S=T; + } + R=output(S); + print(X); + output(); + if(getopt(exe)==1) shell("\""+S+"\""); + return R; +} + +def mycat0(L,T) +{ + Opt = getopt(delim); + Del = (type(Opt) >= 0)?Opt:""; + if(type(L)!=4) L=[L]; + while(L != []){ + if(Do==1) + print(Del,0); + print(car(L),0); + L=cdr(L); + Do = 1; + } + if(T) print(""); +} + +def findin(M,L) +{ + if(type(L)==4){ + for(I = 0; L != []; L = cdr(L), I++) + if(car(L) == M) return I; + }else if(type(L)==5){ + K=length(L); + for(I = 0; I < K; I++) + if(L[I] == M) return I; + }else return -2; + return -1; +} + +def countin(S,M,L) +{ + Step=getopt(step); + if(type(Step)==1){ + N=(Step>0)?Step:-Step; + if(type(L)==5) L=vtol(L); + L=qsort(L); + while(car(L)<S&&L!=[]) L=cdr(L); + S+=M; + for(R=[],C=I=0;L!=[];){ + if(car(L)<S||(Step>0&&car(L)==S)){ + C++; + L=cdr(L); + }else{ + R=cons(C,R);C=0;S+=M; + if(N>1&&++I>=N) break; + } + } + if(C>0) R=cons(C,R); + if(N>1&&(N-=length(R))>0) while(N-->0) R=cons(0,R); + return reverse(R); + } + if(type(L)==4){ + for(N=0; L!=[]; L=cdr(L)) + if(car(L)>=S && car(L)<=M) N++; + }else if(type(L)==5){ + K=length(L); + for(I = 0; I < K; I++) + if(L[I]>=S && L[I]<=M) N++; + }else return -2; + return N; +} + +def mycoef(P,N,X) +{ + if(type(P)<3 && type(N)<3) + return coef(P,N,X); + if(type(P) >= 4) +#ifdef USEMODULE + return map(os_md.mycoef,P,N,X); +#else + return map(mycoef,P,N,X); +#endif + if(type(N)==4){ + for(;N!=[];N=cdr(N),X=cdr(X)) + P=mycoef(P,car(N),car(X)); + return P; + } + if(deg(dn(P), X) > 0){ + P = red(P); + if(deg(dn(P), X) > 0) + return 0; + } + return red(coef(nm(P),N,X)/dn(P)); +} + +def mydiff(P,X) +{ + if(X == 0) + return 0; + if(type(P)<3 && type(X)<3) + return diff(P,X); + if(type(P) >= 4) +#ifdef USEMODULE + return map(os_md.mydiff,P,X); +#else + return map(mydiff,P,X); +#endif + if(type(X)==4){ + for(;X!=[];X=cdr(X)) P=mydiff(P,car(X)); + return P; + } + if(ptype(dn(P),X)<2) + return red(diff(nm(P),X)/dn(P)); + return red(diff(P,X)); +} + +def myediff(P,X) +{ + if(X == 0) + return 0; + if(type(P) < 3) + return ediff(P,X); + if(type(P) >= 4) +#ifdef USEMODULE + return map(os_md.myediff,P,X); +#else + return map(myediff,P,X); +#endif + if(deg(dn(P),X) == 0) + return red(ediff(nm(P),X)/dn(P)); + return red(X*diff(P,X)); +} + +def m2l(M) +{ + if(type(M) < 4) + return [M]; + if(type(M) == 4){ + if(type(car(M))==4 && getopt(flat)==1){ + for(MM = []; M!=[]; M=cdr(M)) + MM = append(MM,car(M)); + return MM; + } + return M; + } + if(type(M) == 5) + return vtol(M); + S = size(M); + for(MM = [], I = S[0]-1; I >= 0; I--) + MM = append(vtol(M[I]), MM); + return MM; +} + +def mydeg(P,X) +{ + if(type(P) < 3) + return deg(P,X); + II = -1; + Opt = getopt(opt); + if(type(P) >= 4){ + S=(type(P) == 6)?size(P)[0]:0; + P = m2l(P); + for(I = 0, Deg = -3; P != []; P = cdr(P), I++){ + if( (DT = mydeg(car(P),X)) == -2) + return -2; + if(DT > Deg){ + Deg = DT; + II = I; + } + } + return (Opt==1)?([Deg,(S==0)?II:[idiv(II,S),irem(II,S)]]):Deg; + } + P = red(P); + if(deg(dn(P),X) == 0) + return deg(nm(P),X); + return -2; +} + +def pfctr(P,X) +{ + P=red(P); + if((T=ptype(P,X))>3) return []; + if(T==3){ + G=pfctr(dn(P),X); + F=pfctr(nm(P),X); + R=[[car(F)[0]/car(G)[0],1]]; + for(F=cdr(F);F!=[];F=cdr(F)) R=cons(car(F),R); + for(G=cdr(G);G!=[];G=cdr(G)) R=cons([car(G)[0],-car(G)[1]],R); + return reverse(R); + } + F=fctr(nm(P)); + for(R=[],C=1/dn(P);F!=[];F=cdr(F)) + if(mydeg(car(F)[0],X)>0) R=cons(car(F),R); + else C*=car(F)[0]^car(F)[1]; + return cons([C,1],reverse(R)); +} + +def mymindeg(P,X) +{ + if(type(P) < 3) + return mindeg(P,X); + II = -1;T=60; + Opt = getopt(opt); + if(type(P) >= 4){ + S=(type(P) == 6)?size(P)[0]:0; + P = m2l(P); + for(I = 0, Deg = -3; P != []; P = cdr(P), I++){ + if(car(P) == 0) + continue; + if( (DT = mydeg(car(P),X)) == -2) + return -2; + if(DT < Deg || Deg == -3){ + if(DT==0){ + if(type(car(P))>=T) continue; + T=type(car(P)); + } + Deg = DT; + II = I; + } + } + return (Opt==1)?([Deg,(S==0)?II:[idiv(II,S),irem(II,S)]]):Deg; + } + P = red(P); + if(deg(dn(P),X) == 0) + return mindeg(nm(P),X); + return -2; +} + +def m1div(M,N,L) +{ + L = (type(L) <= 3)?[0,L]:vweyl[L]; + DX = L[1]; X = L[0]; + if(mydeg(N,DX) != 0) + return 0; + DD = mydeg(M,DX); + MM = M; + while( (Deg=mydeg(MM,DX)) > 0){ + MC = mycoef(MM,Deg,DX)*DX^(Deg-1); + MS = radd(MC, MS); + MM = radd(MM, muldo(MC,radd(-DX,N),L)); + } + return [MM, MS]; +} + + +def mulsubst(F,L) +{ + N = length(L); + if(N == 0) + return F; + if(type(L[0])!=4) L=[L]; + if(getopt(inv)==1){ + for(R=[];L!=[];L=cdr(L)) R=cons([car(L)[1],car(L)[0]],R); + L=reverse(R); + } + if(length(L)==1) return mysubst(F,L); + L1 = newvect(N); + for(J = 0; J < N ; J++) + L1[J] = uc(); + L2 = newvect(N); + for(J = 0; J < N; J++){ + S = L[J][1]; + for(I = 0; I < N; I++) + S = mysubst(S,[L[I][0],L1[I]]); + L2[J] = S; + } + for(J = 0; J < N; J++) + F = mysubst(F, [L[J][0],L2[J]]); + for(J = 0; J < N; J++) + F = mysubst(F, [L1[J],L[J][0]]); + return F; +} + +def cmpsimple(P,Q) +{ + T = getopt(comp); + if(P == Q) + return 0; + D = 0; + if(type(T) < 0) + T = 7; + if(iand(T,1)) + D = length(vars(P)) - length(vars(Q)); + if(!D && iand(T,2)) + D = nmono(P) - nmono(Q); + if(!D && iand(T,4)) + D = str_len(rtostr(P)) - str_len(rtostr(Q)); + if(!D){ + if(P > Q) D++; + else D--; + } + return D; +} + +def simplify(P,L,T) +{ + if(type(P) > 3) +#ifdef USEMODULE + return map(os_md.simplify,P,L,T); +#else + return map(simplify,P,L,T); +#endif + if(type(L[0]) == 4){ + if(length(L[0]) > 1) +#if USEMODULE + return fmult(os_md.simplify,P,L,[T]); +#else + return fmult(simplify,P,L,[T]); +#endif + L = L[0]; + } + if(type(Var=getopt(var)) == 4 && Var!=[]){ + if(type(P) == 3) + return simplify(nm(P),P,L,T|var=Var)/simplify(dn(P),P,L,T|var=Var); + V = car(Var); + if((I = mydeg(P,V)) > 0){ + Var = cdr(Var); + for(Q=0; I>=0 ; I--) + Q += simplify(mycoef(P,I,V), L, T|var=Var)*V^I; + return Q; + } + } + if(length(L) == 1){ + L = car(L); + for(V = vars(L); V != []; V = cdr(V)){ + VT = car(V); + if(deg(L,VT) != 1) continue; + P = simplify(P, [VT, -red(coef(L,0,VT)/coef(L,1,VT))], T); + } + return P; + } + Q = mysubst(P,[L[0],L[1]]); + return (cmpsimple(P,Q|comp=T) <= 0)?P:Q; +} + +def monotos(P) +{ + if(nmono(P) <= 1) + return rtostr(P); + return "("+rtostr(P)+")"; +} + + +def monototex(P) +{ + Q=my_tex_form(P); + if(nmono(P)<2 && (getopt(minus)!=1 || str_str(Q,"-"|top=0,end=0)<0)) + return Q; + return "("+Q+")"; +} + +def minustos(S) +{ + if(str_str(S,"-"|top=0,end=0)<0) return S; + return "("+S+")"; +} + +def vnext(V) +{ + S = length(V); + for(I = S-1; I > 0; I--){ + if(V[I-1] < V[I]){ + V0 = V[I-1]; + for(J = I+1; J < S; J++) + if(V0 >= V[J]) break; + V[I-1] = V[--J]; + V[J] = V0; + for(J = S-1; I < J; I++, J--){ + V0 = V[I]; + V[I] = V[J]; + V[J] = V0; + } + return 1; + } + } + return 0; +} + +def ldict(N, M) +{ + Opt = getopt(opt); + R = S = []; + for(I = 2; N > 0; I++){ + R = cons(irem(N,I), R); + N = idiv(N,I); + } + L = LL = length(R); + T=newvect(LL+1); + while(L-- > 0){ + V = car(R); R = cdr(R); + for(I = J = 0; J <= V ; I++){ + if(T[I] == 0) + J++; + } + T[I-1] = 1; + S = cons(LL-I+1, S); + } + for(I = 0; I <= LL; I++){ + if(T[I] == 0){ + S = cons(LL-I, S); + break; + } + } + if(M == 0) + return S; + if(M <= LL){ + print("too small size"); + return 0; + } + T = []; + for(I = --M; I > LL; I--) + T = cons(I,T); + S = append(S,T); + if(Opt == 2 || Opt == 3) + S = reverse(S); + if(Opt != 1 && Opt != 3) + return S; + for(T = []; S != []; S = cdr(S)) + T = cons(M-car(S),T); + return T; +} + +def ndict(L) +{ + Opt = getopt(opt); + R = []; + if(Opt != 1 && Opt != 2) + L = reverse(L); + T = (Opt == 1 || Opt == 3)?1:0; + for( ; L != []; L = cdr(L)){ + for(I = 0, V = car(L), LT = cdr(L); LT != []; LT = cdr(LT)) + if(T == 0){ + if(V < car(LT)) I++; + }else if (V > car(LT)) I++; + R = cons(I, R); + } + R = reverse(R); + for(V = 0, I = length(R); I > 0; R = cdr(R), I--) + V = V*I + car(R); + return V; +} + +def nextsub(L,N) +{ + if(type(L) == 1){ + for(LL = [], I = L-1; I >= 0; I--) + LL = cons(I,LL); + return LL; + } + M = length(L = ltov(L)); + K = N-M; + for(I = M-1; I >= 0; I--) + if(L[I] < I+K) break; + if(I < 0) + return 0; + for(J = L[I]+1; I < M; I++, J++) + L[I] = J; + return vtol(L); +} + +def nextpart(L) +{ + if(car(L) <= 1) + return 0; + for(I = 0, L = reverse(L); car(L) == 1; L=cdr(L)) + I++; + I += (K = car(L)); + R = irem(I,--K); + R = (R==0)?[]:[R]; + for(J = idiv(I,K); J > 0; J--) + R = cons(K,R); + L = cdr(L); + while(L!=[]){ + R = cons(car(L), R); + L = cdr(L); + } + return R; +} + +def transpart(L) +{ + L = reverse(L); + for(I=1, R=[]; L!= []; I++){ + R = cons(length(L), R); + while(L != [] && car(L) <= I) + L = cdr(L); + } + return reverse(R); +} + +def trpos(A,B,N) +{ + S = newvect(N); + for(I = 0; I < N; I++) + S[I]=(I==A)?B:((I==B)?A:I); + return S; +} + +def sprod(S,T) +{ + L = length(S); + V = newvect(L); + while(--L >= 0) + V[L] = S[T[L]]; + return V; +} + +def sinv(S) +{ + L = length(S); + V = newvect(L); + while(--L >= 0) + V[S[L]] = L; + return V; +} + +def slen(S) +{ + L = length(S); + for(V = 0, J = 2; J < L; i++){ + for(I = 0; I < J; I++) + if(S[I] > S[J]) V++; + } + return V; +} + +def sord(W,V) +{ + L = length(W); + W0 = nevect(L); + V0 = newvect(L); + for(I = F = C = 0; I < L; I++){ + C = 0; + if( (W1 = W[I]) > (V1 = V[I]) ){ + if(F < 0) C = 1; + else if(F==0) F = 1; + }else if(W1 < V1){ + if(F > 0) C = 1; + else if(F==0) F = -1; + } + for(J = I;--J >= 0 && W0[J] > W1; ) W0[J+1] = W0[J]; + W0[J+1] = W1; + for(J = I;--J >= 0 && V0[J] > V1; ) V0[J+1] = V0[J]; + V0[J+1] = V1; + if(C){ + for(J = I; J >= 0; J--){ + if((W1=W0[J]) == (V1=V0[J])) continue; + if(W1 > V1){ + if(F < 0) return 2; + } + else if(F > 0) return 2; + } + } + } + return F; +} + +def vprod(V1,V2) +{ + for(R = 0, I = length(V1)-1; I >= 0; I--) + R = radd(R, rmul(V1[I], V2[I])); + return R; +} + +def dnorm(V) +{ + if(type(V)<2) return dabs(V); + R=0; + if(type(V)!=4) + for (I = length(V)-1; I >= 0; I--) R+= V[I]^2; + else{ + if(type(V[0])>3){ + V=ltov(V[0])-ltov(V[1]); + return dnorm(V); + } + for(;V!=[]; V=cdr(V)) R+=car(V)^2; + } + return dsqrt(R); +} + +def dvprod(V1,V2) +{ + if(type(V1)<2) return V1*V2; + R=0; + if(type(V1)!=4) + for(I = length(V1)-1; I >= 0; I--) + R += V1[I]*V2[I]; + else{ + for(; V1!=[]; V1=cdr(V1),V2=cdr(V2)) + R+=car(V1)*car(V2); + } + return R; +} + +def dvangle(V1,V2) +{ + if(V2==0 && type(V1)==4 && length(V1)==3 && + (type(V1[0])==4 || type(V1[0])==5 || type(V1[1])==4 || type(V1[1])==5 || + type(V1[2])==4 || type(V1[2])==5) ){ + if(V1[0]==0 || V1[1]==0 || V1[2]==0) return 1; + PV2=V1[1]; + if(type(PV2)==4){ + PV2=ltov(PV2); + return dvangle(PV2-ltov(V1[0]),ltov(V1[2])-PV2); + }else + return dvangle(PV2-V1[0],V1[2]-PV2); + } + if((L1=dnorm(V1))==0 || (L2=dnorm(V2))==0) return 1; + return dvprod(V1,V2)/(L1*L2); +} + +def mulseries(V1,V2) +{ + L = length(V1); + if(size(V2) < L) + L = size(V2); + VV = newvect(L); + for(J = 0; J < L; J++){ + for(K = R = 0; K <= J; K++) + R = radd(R,rmul(V1[K],V2[J-K])); + VV[J] = R; + } + return VV; +} + +def scale(L) +{ + T=0;LS=1; + Pr=getopt(prec); + if(type(L)!=4){ + if(L==2){ + L=(Pr!=1)? + [[[1,2,1/20],[2,5,1/10],[5,10,1/5], [10,20,1/2],[20,50,1],[50,100,2]], + [[1,2,1/10],[2,5,1/2], [10,20,1],[20,50,5]], + [[1,2,1/2],[2,10,1], [10,20,5],[20,100,10]]]: + [[[1,2,1/50],[2,5,1/20],[5,10,1/10], [10,20,1/5],[20,50,1/2],[50,100,1]], + [[1,5,1/10],[5,10,1/2], [10,20,1],[50,100,5]], + [[1,5,1/2],[5,10,1], [10,50,5],[50,100,10]]]; + LS=2; + }else if(L==3){ + L=(Pr!=1)? + [[[1,2,1/20],[2,5,1/10],[5,10,1/5], [10,20,1/2],[20,50,1],[50,100,2], + [100,200,5],[200,500,10],[500,1000,20]], + [[1,2,1/10],[2,5,1/2], [10,20,1],[20,50,5], [100,200,10],[200,500,50]], + [[1,2,1/2],[2,10,1], [10,20,5],[20,100,10], [100,200,50],[200,1000,100]]]: + [[[1,2,1/50],[2,5,1/20],[5,10,1/10],[10,20,1/5],[20,50,1/2],[50,100,1], + [100,200,2],[200,500,5],[500,1000,10]], + [[1,5,1/10],[5,10,1/2], [10,50,1],[50,100,5], [100,500,10],[500,1000,50]], + [[1,5,1/2],[5,10,1], [10,50,5],[50,100,10], [100,500,50],[500,1000,100]]]; + LS=3; + }else{ + L=(Pr!=1)? + [[[1,2,1/50],[2,5,1/20],[5,10,1/10]], + [[1,5,1/10],[5,10,1/2]], + [[1,5,1/2],[5,10,1]]]: + [[[1,2,1/100],[2,5,1/50],[5,10,1/20]], + [[1,2,1/20],[2,10,1/10]], + [[1,2,1/10],[2,10,1/2]]]; + } + }else if(type(L[0])!=4){ + L=[L]; + if(length(L)!=3||L[0]+L[2]>L[1]) T=L; + } + if(T==0){ + if(type(L[0][0])!=4) L=[L]; + for(R=[];L!=[];L=cdr(L)){ + for(RR=[],LT=car(L);LT!=[];LT=cdr(LT)) + for(I=car(LT)[0];I<=car(LT)[1];I+=car(LT)[2]) RR=cons(I,RR); + RR=lsort(RR,[],1); + R=cons(RR,R); + } + R=reverse(R); + for(T=[];R!=[];R=cdr(R)){ + if(length(R)>1) T=cons(lsort(R[0],R[1],"setminus"),T); + else T=cons(R[0],T); + } + } + V0=dlog(10); + S0=S1=1;D0=D1=0; + SC=getopt(scale); + if(type(SC)==4){ + S0=SC[0];S1=SC[1]; + }else if(type(SC)==1){ + S0=SC;S1=0; + }else return T; + if(type(D=getopt(shift))==4){ + D0=D[0];D1=D[1]; + } + if(type(F=getopt(f))>1) F=f2df(F); + else F=0; + for(M=M0=[],I=length(T);T!=[];T=cdr(T),I--){ + for(S=car(T);S!=[];S=cdr(S)){ + V=((!F)?dlog(car(S))/dlog(10)/LS:myfdeval(F,car(S)))*S0; + if(S1!=0){ + M=cons([V+D0,D1],M); + M=cons([V+D0,I*((length(SC)>2)?SC[I]:S1)+D1],M); + M=cons(0,M); + }else M0=cons(V+D0,M0); + } + if(S1==0) M=cons(reverse(M0),M); + } + if(S1!=0) M=cdr(M); + if(S1==0||getopt(TeX)!=1) return M; + M=reverse(M); + if(type(U=getopt(line))==4) + M=cons([U[0]+D0,D1],cons([U[1]+D0,D1],cons(0,M))); + if(type(Col=getopt(col))<1) S=xylines(M); + else S=xylines(M|opt=Col); + if(type(Mes=getopt(mes))==4){ + S3=car(Mes); + if(type(S3)==4){ + Col=S3[1]; + S3=car(S3); + }else Col=0; + V=car(scale(cdr(Mes))); + if(!F) Mes=scale(cdr(Mes)|scale=[S0/LS,0],shift=[D0,D1]); + else Mes=scale(cdr(Mes)|f=F,scale=[S0,0],shift=[D0,D1]); + for(M=car(Mes);M!=[];M=cdr(M),V=cdr(V)){ + VT=deval(car(V)); + if(Col!=0) VT=[Col,VT]; + S+=xyput([car(M),S3,VT]); + } + } + return S; +} + +def pluspower(P,V,N,M) +{ + RR = 1; + for(K = R = 1; K < M-1; I++){ + R = R*(N-K+1)*P/K; + RR = radd(RR,R); + } + VV = newvect(M); + for(K = 0; K < M-1; K++) + VV[K] = red(mycoef(RR,K,V)); +} + +def vtozv(V) +{ + if(type(V)<4) V=newvect(1,[V]); + S = length(V); + VV = newvect(S); + Lcm = 1; + for(K = 0; K < S; K++){ + VV[K] = red(V[K]); + Lcm = lcm(Lcm,dn(VV[K])); + C = ptozp(nm(VV[K])|factor=0); + if(K == 0){ + Dn = dn(C[1]); + Nm = nm(C[1]); + PNm = nm(C[0]); + }else{ + Dn = ilcm(Dn,dn(C[1])); + Nm = igcd(Nm,nm(C[1])); + PNm = gcd(PNm,nm(C[0])); + } + } + if(!(M=Nm*PNm)) return [VV,0]; + Mul = (Lcm*Dn)/M; + for(K = 0; K < S; K++) + VV[K] = rmul(VV[K],Mul); + return [VV,Mul]; +} + +def dupmat(M) +{ + if(type(M) == 6){ + Size = size(M); + MM = newmat(Size[0],Size[1]); + for(I = 0; I < Size[0]; I++){ + for(J = 0; J < Size[1]; J++) + MM[I][J] = M[I][J]; + } + return MM; + } + if(type(M) == 5) + return ltov(vtol(M)); + return M; +} + +def matrtop(M) +{ + S = size(M); + MM = dupmat(M); + Lcm = newvect(S[0]); + for(J = 0; J < S[0]; J++){ + U = vtozv(M[J]); + for(K = -1, I = 0; I < S[1]; I++) + MM[J][I] = U[0][I]; + Lcm[J] = U[1]; + } + return [MM,Lcm]; +} + +def mytrace(M) +{ + S=size(M); + if(S[0]!=S[1]) return 0; + for(I=V=0; I<S[0]; I++){ + V+=M[I][I]; + } + return V; +} + +def mydet(M) +{ + MM = matrtop(M); + if(type(MM[0]) == 6){ + S = size(M); + for(Dn = 1, I = 0; I < S[0]; I++) + Dn *= MM[1][I]; + return (!Dn)?0:red(det(MM[0])/Dn); + } +} + +def mperm(M,P,Q) +{ + if(type(M) == 6){ + S = size(M); + if(type(P) <= 1) + P=(P==1)?Q:trpos(0,0,S[0]); + if(type(P) > 3 && type(P[0]) >= 4) + P = trpos(P[0][0],P[0][1],S[0]); + else if(type(P) == 4){ + if(length(P)==2 && type(P[1])==4){ + P0=P[0];P1=car(P[1]);P=newvect(P1); + for(I=0;I<P1;I++) P[I]=P0+I; + }else P = ltov(P); + } + if(type(Q) <= 1) + Q=(Q==1)?P:trpos(0,0,S[1]); + if(type(Q) > 3 && type(Q[0]) >= 4) + Q = trpos(Q[0][0],Q[0][1],S[1]); + if(type(Q) == 4){ + if(length(Q)==2 && type(Q[1])==4){ + P0=Q[0];P1=car(Q[1]);Q=newvect(P1); + for(I=0;I<P1;I++) Q[I]=P0+I; + }else Q = ltov(Q); + } + MM = newmat(S0=length(P),S1=length(Q)); + for(I = 0; I < S0; I++){ + MMI = MM[I]; MPI = M[P[I]]; + for(J = 0; J < S1; J++) + MMI[J] = MPI[Q[J]]; + } + return MM; + } + if((type(M) == 5 || type(M) == 4) && type(P) >= 4){ + if(length(P) == 1 && type(car(P)) == 4) + P = trpos(car(P)[0],car(P)[1],length(M)); + MM = newvect(S = length(P)); + for(I = 0; I < S; I++) + MM[I] = M[P[I]]; + if(type(M) == 4) + MM = vtol(MM); + return MM; + } + return M; +} + +def mtranspose(M) +{ + if(type(M)==4){ + MV=ltov(M); + II=length(MV); + for(I=L=0; I<II; I++){ + if(type(MV[I])!=4) return M; + MV[I]=ltov(MV[I]); + } + for(R=[],J=0; ;J++){ + for(T=[],I=F=0; I<II; I++){ + if(length(MV[I])>J){ + F=1; + T=cons(MV[I][J],T); + } + } + if(F==0) return reverse(R); + if(F==1) R=cons(reverse(T),R); + } + } + if(type(M) != 6) + return M; + S = size(M); + MM = newmat(S[1],S[0]); + for(I = 0; I < S[0]; I++){ + for(J = 0; J < S[1]; J++) + MM[J][I] = M[I][J]; + } + return MM; +} + +def mtoupper(MM, F) +{ + TeXs=["\\ -=\\ ","\\ +=\\ "]; + Lins=[" -= line"," += line"]; + Assume=["If","Assume"]; + if(type(St = getopt(step))!=1) St=0; + Opt = getopt(opt); + if(type(Opt)!=1) Opt=0; + TeX=getopt(dviout); + if(type(Tab=getopt(tab))!=1 && Tab!=0) Tab=2; + Line="\\text{line}"; + if(type(TeX)!=1 || !St) TeX=0; + Size = size(MM); + if(F==-1){ + M = newmat(Size[0], Size[1]+1); + for(I = 0; I < Size[0]; I++){ + for(J = 0; J < Size[1]; J++) + M[I][J] = MM[I][J]; + M[I][Size[1]] = zz^I; + } + Size = size(M); + F = 1; + }else if(F<0){ + F=Size[0]; + M = newbmat(1,2,[[MM,mgen(F,0,[1],0)]]); + Size=[Size[0],F+Size[1]]; + }else + M = dupmat(MM); + if(St){ + if(TeX) Lout=[[dupmat(M)]]; + else mycat0([M,"\n\n"],0); + } + Top=""; + if(Opt>3){ + for(I=Opt; I>4; I--) + Top+=(TeX)?"\\ ":" "; + } + PC=IF=1; + for(K = JJ = 0; K < Size[1] - F; K++){ + for(J = JJ; J < Size[0]; J++){ + if(M[J][K] != 0){ /* search simpler element */ + if(Opt>2 && (Mul=M[J][K])!=1){ + for(FF=0,JT=J; JT<Size[0]; JT++){ + if((Val=M[JT][K])==1){ /* 1 */ + Mul=1;J=JT; break; + } + if(Val==0 || type(Val)>type(Mul)) continue; + if(type(Val)<type(Mul) || (Val==-1 && Mul!=-1)){ + Mul=Val; J=JT; /* smaller type */ + } + else if(Opt>3){ + if(isint(Val)==1){ /* integer elememt */ + if(isint(Mul)!=1){ + Mul=Val; J=JT; /* integer */ + } + if(FF<3||(FF==3&&Val>0)){ + for(JK=K+1;;){ + if(JK>=Size[1]-F){ + J=JT; + FF=((Mul=Val)>0)?4:3; + break; /* divisible int => 4: pos_int 3: neg_int */ + } + if(isint(M[JT][JK++]/Val)!=1) break; + } + } + }else if(!FF){ + for(JK=K+1; JK<Size[1]-F; JK++){ + if(isint(M[JT][JK]/Val)!=1) break; + J=JT; FF=1; /* divisible => 1: non integer */ + } + } + } + } + if(FF==0 && Opt>3 && Mul!=1 && Mul!=-1){ /* FF > 0 => divisible */ + for(FF=0,J0=J; J0<Size[0]-1 && FF!=9; J0++){ + VV0=M[J0][K]; + if(VV0==0 || isint(VV0)==0) continue; + for(J1=J0+1;J1<Size[0] && FF!=9; J1++){ + VV1=M[J1][K]; + if(VV1==0 || isint(VV1)==0) continue; + for(C=FT=0,V0=VV0,V1=VV1; C<2 && FF!=10; C++,V1=V0,V0=VV1){ + for(CC=0,RC=ceil(V0/V1);CC<2;CC++,RC--){ + if((CD=V0-RC*V1)==0 && (RC==1 || RC==-1)){ + FT=1; FF=10; /* 10: vanish by +- */ + }else if(CD==1){ + FV=(vars(M[J0])==[]&&vars(M[J1])==[])?1:0; + if((RC==1 || RC==-1) && FF<8+FV){ + FT=1; FF=8+FV; /* 8/9: 1 by +- */ + }else if(FF<6+VF){ + FT=1; FF=6+FV; /* 6/7: 1 by times */ + } + }else if(CD==-1){ + FV=(vars(M[J0])==[]&&vars(M[J1])==[])?1:0; + if((RC==1 || RC==-1) && FF<4+FV){ + FT=1; FF=4+FV; /* 4/5: 1 by +- */ + }else if(FF<2+VF){ + FT=1; FF=2+FV; /* 2/3: 1 by times */ + } + } + if(FT==1){ + FT=0; KRC=RC; + if(C==0){ + KJ0=J0; KJ1=J1; + }else{ + KJ0=J1; KJ1=J0; + } + } + } + } + } + } + if(FF>0){ + for(I=K;I<Size[1];I++) + M[KJ0][I]=radd(M[KJ0][I],rmul(M[KJ1][I],-KRC)); + if(KRC<0){ + KRC=-KRC;Sgn=1; + }else + Sgn=0; + if(St){ + if(TeX){ + if(KRC==1) + Lout=cons([Top+"\\xrightarrow{", Line,KJ0+1,TeXs[Sgn], + Line,KJ1+1,"}",dupmat(M)],Lout); + else + Lout=cons([Top+"\\xrightarrow{", Line,KJ0+1,TeXs[Sgn], + Line,KJ1+1,"\\times\\left(",KRC,"\\right)}", + dupmat(M)],Lout); + + }else{ + if(KRC==1) + mycat([Top+"line",KJ0+1,Lins[Sgn],KJ1+1,"\n",M,"\n"]); else + mycat([Top+"line",KJ0+1,Lins[Sgn],KJ1+1," * (",KRC,")\n",M,"\n"]); + } + } + Mul=M[KJ0][K]; J=KJ0; + if(FF==10){ + J--; continue; + } + } + } + } + /* a parameter Var */ + Var=0; + if(St && Opt>4 && length(Var=vars(nm(M[J][K])))==1){ + J0=J;Jv=mydeg(nm(M[J0][K]),car(Var)); + for(I=JJ;I<Size[0]; I++){ + if((MIK=M[I][K])==0) continue; + if((T=vars(MIK=nm(MIK)))==[]){ /* 1/poly */ + J=I;Var=[]; break; + } + if(length(T)>1) continue; + if(mydeg(MIK,T[0])<Jv){ + J0=I;Jv=mydeg(MIK);Var=T; /* search minimal degree */ + } + } + if(length(Var)==1){ + Var=car(Var); + Q=nm(M[J0][K]); + for(I=JJ; I<Size[0]; I++){ + if(I==J0 || mydeg(nm(M[I][K]),Var)<0) continue; + T=rpdiv(nm(M[I][K]),Q,Var); + if(T[0]!=0 && (vars(T)==[] || vars(T)==[Var])) break; /* dec. deg */ + } + } + } + if(type(Var)==2){ /* 1 variable */ + if(I==Size[0]){ + for(QF=0,Q0=1,QR=getroot(Q,Var|mult=1);QR!=[];QR=cdr(QR)){ + if(deg(T=QR[0][1],Var)>0){ + QF=1;Q0*=T; continue; + } + if(subst(PC,Var,T)==0) continue; + Q0*=(Var-(T=QR[0][1])); + if(type(T)<2){ + M0=subst(M,Var,T); + if(TeX){ + Lout=cons(["\\hspace{",Tab*(St-3)-1,"mm}\\text{If }", + Var,"=",T,","] ,Lout); + Lout=append(mtoupper(M0,F|step=St+1,opt=Opt,dviout=-2,tab=Tab),Lout); + }else{ + mycat([str_times(" ",St-1)+"If",Var,"=",T,","]); + mtoupper(M0,F|step=St+1,opt=Opt); + } + } + } + if(Q0!=1){ + if(TeX) + Lout=cons(["\\hspace{",Tab*(St-3)-1,"mm}\\text{"+Assume[QF]+" }", + Q0/=fctr(Q0)[0][0],"\\ne0,"],Lout); + else + mycat([str_times(" ",St-1)+Assume[QF],Q0,"!=0,"]); + PC*=Q0; + } + IF=0;St++; + }else{ + KRC=-red((T[2]*dn(M[J0][K]))/(T[1]*dn(M[I][K]))); + for(II=K;II<Size[1];II++) + M[I][II]=radd(M[I][II],rmul(M[J0][II],KRC)); + if(TeX) + Lout=cons([Top+"\\xrightarrow{", Line,I+1,"\\ +=\\ ",Line, + J0+1,"\\times\\left(",KRC,"\\right)}",dupmat(M)],Lout); + else + mycat([Top+"line",I+1,"+=",Line,J0+1," * (",KRC,")\n",M,"\n"]); + J=JJ-1; + continue; + } + } + if(J != JJ){ + for(I = K; I < Size[1]; I++){ + Temp = M[JJ][I]; + M[JJ][I] = M[J][I]; + M[J][I] = (Opt>=2)?Temp:-Temp; + } + if(St){ + if(TeX) + Lout=cons([Top+"\\xrightarrow{",Line,JJ+1,"\\ \\leftrightarrow\\ ", + Line,J+1,"}",dupmat(M)],Lout); + else + mycat0([Top+"line",JJ+1," <-> line",J+1,"\n",M,"\n\n"],0); + } + } + /* Assume PC != 0 */ + if(Opt>1){ + Mul = M[JJ][K]; + if(Opt > 5 && St && IF && (Var=vars(MIK=nm(Mul)))!=[]){ + TF=fctr(MIK); + for(FF=0,Q0=1,TP=cdr(TF);TP!=[];TP=cdr(TP)){ + if(type(dn(red(PC/(TP0=car(car(TP))))))<2) continue; /* divisible */ + Q0*=TP0; + for(Var=vars(TP0);Var!=[];Var=cdr(Var)){ + if(mydeg(TP0,X=car(Var))==1 && type(dn(red(PC/mycoef(TP0,1,X))))<2){ + /* TP0=A*X+B with non-vanishing A */ + T=red(-mycoef(TP0,0,X)/mycoef(TP0,1,X)); + M0=mysubst(M,[X,T]); + if(TeX){ + Lout=cons(["\\hspace{",Tab*(St-3)-1,"mm}\\text{If }", + X,"=",T,","] ,Lout); + Lout=append(mtoupper(M0,F|step=St+1,opt=Opt,dviout=-2,tab=Tab), + Lout); + }else{ + mycat([str_times(" ",St-1)+"If",X,"=",T,","]); + mtoupper(M0,F|step=St+1,opt=Opt); + } + break; + } + } + if(Var==[] && Opt>6){ + for(Var=vars(TP0);Var!=[];Var=cdr(Var)){ + if(mydeg(TP0,X=car(Var))==1){ + /* TP0=A*X+B, A is a poly of X0 with rational funct */ + T=nm(mycoef(TP0,1,X)); + for(Var0=vars(T);Var0!=[]; Var0=cdr(Var0)){ + X0=car(Var0); + if(type(dn(red(PC/type(mycoef(T,mydeg(T,X0),X0)))))>1) continue; + TR=getroot(T,X0|mult=1); + if(findin(X0,vars(TR))<0) break; + } + if(Var0==[]) continue; + for(;TR!=[0];TR=cdr(TR)){ + if(TR==[]){ + TR=[0,0]; + T0=-mycoef(TP0,0,X)/mycoef(TP0,1,X); + X0=X; + }else T0=car(TR)[1]; + M0=mysubst(M,[X0,T0]); + if(TeX){ + Lout=cons(["\\hspace{",Tab*(St-3)-1,"mm}\\text{If }", + X0,"=",T0,","] ,Lout); + Lout=append(mtoupper(M0,F|step=St+1,opt=Opt,dviout=-2,tab=Tab), + Lout); + }else{ + mycat([str_times(" ",St-1)+"If",X0,"=",T0,","]); + mtoupper(M0,F|step=St+1,opt=Opt); + } + } + + } + break; + } + } + if(Var==[]){ + FF=1; + } + } + if(Q0!=1){ + if(FF) FF=1; + if(TeX) Lout=cons(["\\hspace{",Tab*(St-3)-1,"mm}\\text{"+Assume[FF]+" }",Q0/=fctr(Q0)[0][0],"\\ne0,"], + Lout); + else mycat([str_times(" ",St-1)+Assume[FF],Q0,"!=0,"]); + PC*=Q0;St++; + } + } + IF=M[JJ][K]=1; + if(Mul!=1){ + for(L=K+1; L<Size[1]; L++) + M[JJ][L]=red(M[JJ][L]/Mul); + if(St){ + if(TeX) + Lout=cons([Top+"\\xrightarrow{",Line,JJ+1, + "\\ \\times=\\ \\left(",red(1/Mul),"\\right)}", + dupmat(M)],Lout); + else + mycat0([Top+"line",JJ+1, " *= (",red(1/Mul), ")\n",M,"\n\n"],0); + } + } + + } + for(J = (Opt>0)?0:(JJ+1); J < Size[0]; J++){ + if(J == JJ) + continue; + Mul = -M[J][K]; + if(Mul!=0){ + if(Opt!=2) Mul=rmul(Mul,1/M[JJ][K]); + for(I = K+1; I < Size[1]; I++) + M[J][I] = radd(M[J][I],rmul(M[JJ][I],Mul)); + M[J][K] = 0; + if(St){ + if(Mul<0){ + Mul=-Mul;Sgn=0; + }else Sgn=1; + if(TeX){ + if(Mul==1) + Lout=cons([Top+"\\xrightarrow{", Line,J+1,TeXs[Sgn],Line,JJ+1, + "}",dupmat(M)],Lout); + else Lout=cons([Top+"\\xrightarrow{", Line,J+1,TeXs[Sgn],Line,JJ+1, + "\\times\\left(",Mul,"\\right)}",dupmat(M)],Lout); + }else{ + if(Mul==1) + mycat0([Top+"line",J+1, Lins[Sgn],JJ+1,"\n",M,"\n\n"],0); + else + mycat0([Top+"line",J+1, Lins[Sgn],JJ+1," * (",Mul,")\n",M,"\n\n"],0); + } + } + } + } + JJ++; + } + } + } + if(TeX){ + if(TeX==-2) return Lout; + Lout=reverse(Lout); + Br="\\allowdisplaybreaks"; + Cr="\\\\\n &"; + if(getopt(pages)==1) Cr=Br+Cr; + if(type(S=getopt(cr))==7) Cr=S; + if(type(Lim=getopt(lim))==1){ + if(Lim>0){ + if(Lim<30) Lim=TeXLim; + Lim*=2; + } + }else Lim=0; + Out = ltotex(Lout|opt=["cr","spts0"],str=1,cr=Cr,lim=Lim); + if(TeX<0) return Out; + dviout(Out|eq=(str_str(Cr,Br)>=0)?6:5,keep=(TeX==1)?0:1); + } + return M; +} + +def mydet2(M) +{ + S = size(M); + Det = 1; + MM = mtoupper(M,0); + for(I = 0; I < S[0]; I++) + Det = rmul(Det,MM[I][I]); + return Det; +} + +def myrank(MM) +{ + S = size(MM); + M = dupmat(MM); + M = mtoupper(M,0); + C = 0; + for(I = K = 0; I < S[0]; I++){ + for(J = K; J < S[1]; J++){ + if(M[I][J] != 0){ + C++; K++; + break; + } + } + } + return C; +} + +def meigen(M) +{ + F = getopt(mult); + if(type(M)==4 || type(M)==5){ + II=length(M); + for(R=[],I=II-1; I>=0; I--){ + if(F==1) + R=cons(meigen(M[I]|mult=1),R); + else + R=cons(meigen(M[I]),R); + } + return R; + } + S = size(M)[0]; + P = mydet2(mgen(S,0,[zz],0)-M); + return (F==1)?getroot(P,zz|mult=1):getroot(P,zz); +} + +def transm(M) +{ + if(type(M)!=6) M=s2m(M); + if(type(M)!=6){ + errno(0); + return 0; + } + L=[M];TeX=""; + Line=["\\text{line}","\\text{col}"]; + if((DVI=getopt(dviout)) !=1) DVI=0; + else dviout(M); + for(;;){ + print(L0=dupmat(car(L))); + Sz=size(L0); + S=keyin("? "); + N=0; + if(str_len(S)<=1){ + if(S=="q") return L; + if(S=="t"){ + N=mtranspose(L0); + TeX=["\\text{transpose}"]; + } + else if(S=="f"){ + if(length(L)>1){ + if(LF!=0) TeX=""; + L=cdr(L);LF=L0; + if(DVI){ + dviout0(-1); + dviout(" "); + } + } + }else if(S=="g"){ + if(LF!=0) N=LF; + }else if(S=="0"){ + N=M;L=[];TeX=[]; + }else if(S=="a"||S=="A"){ + if(DVI&&S=="A") mtoupper(L0,0|step=1,opt=10,dviout=1); + else mtoupper(L0,0|step=1,opt=10); + }else{ + mycat0([ + "2,5 : line2 <-> line5", + "2,5,-2 ; line2 += (-2)*line5", + "2,2,-2 : line2 *= -2", + "2,5,0 : line2 += (?)*line5 for reduction", + "r,2,5 : raw2 <-> raw5 (r,2,5,-2 etc.)", + "s,x,2 : subst(*,x,2)", + "t : transpose", + "0 : first matrix", + "f : previous matrix", + "g : next matrix (only after f)", + "A : auto (a : without TeX)", + "q : quit" + ],1|delim="\n"); + } + }else{ + FR=0; + S=evals(S|del=","); + if(S[0]==r){ + FR=1; S=cdr(S); + } + if((LL=length(S))>=2){ + S0=S[0]-1;S1=S[1]-1; + if(S[0]==s){ + if(length(S)==3) N=subst(L0,S[1],S[2]); + if(DVI) TeX=[S[1],"\\mapsto",S[2]]; + }else if(FR==0){ + if(S0<0 || S0>=Sz[0] || S1<0 || S1>=Sz[0]) continue; + if(LL==2){ + N=rowx(L0,S0,S1); + if(DVI) TeX=[Line[0],S[0],"\\ \\leftrightarrow\\ ",Line[0],S[1]]; + }else{ + S2=S[2]; + if(S0==S1){ + N=rowm(L0,S0,S2); + if(DVI) TeX=[Line[0],S[0],"\\ \\times=\\ ",S2]; + }else{ + if(S2==0){ + for(J=0;J<Sz[1] && L0[S1][J]==0;J++); + if(J<Sz[1]) S2=-L0[S0][J]/L0[S1][J]; + } + if(S2!=0){ + N=rowa(L0,S0,S1,S2); + if(DVI) TeX=[Line[0],S[0],"\\ +=\\ ",Line[0], + S[1],"\\ \\times\\ (",S2,")"]; + } + } + } + }else{ + if(S0<0 || S0>=Sz[1] || S1<0 && S1>=Sz[1]) continue; + if(LL==2){ + N=colx(L0,S0,S1); + if(DVI) TeX=[Line[1],S[0],"\\ \\leftrightarrow\\ ",Line[1],S[1]]; + }else{ + S2=S[2]; + if(S0==S1){ + N=colm(L0,S0,S2); + if(DVI) TeX=[Line[1],S[0],"\\ \\times=\\ ",S[2]]; + }else{ + if(S2!=0){ + for(J=0; I1<Sz[0] && L0[I1][J]==0; J++); + if(J<Sz[0]) S2=-L0[J][S0]/L0[J][S1]; + }if(S2!=0){ + N=cola(L0,S0,S1,S2); + if(DVI) TeX=[Line[1],S[0],"\\ +=\\ ",Line[1], + S[1],"\\ \\times\\ (",S2,")"]; + } + } + } + } + } + } + if(N!=0){ + LF=0;L=cons(N,L); + if(DVI) dviout("\\xrightarrow{"+ltotex(TeX|opt="spts0",str=1)+"}"+mtotex(N)|eq=8); + } + } +} + +def vgen(V,W,S) +{ + IM=length(V); + I=(getopt(opt)==0)?IM:0; + for(SS=0; I<IM && (SS==0 || V[I]<=W[I]); I++) + SS += W[I]; + if(I<IM){ + W[I]++; + SS--; + }else + SS=S; + for(J=0;J<I;J++){ + W[J] = (SS<=V[J])?SS:V[J]; + SS -= W[J]; + } + if(SS>0) + return -1; + return(I==IM)?0:I; +} + +def mmc(M,X) +{ + Mt=getopt(mult); + if(type(M)==7) M=os_md.s2sp(M); + if(type(M)!=4||type(M[0])!=6) return 0; + if(type(M[0])!=6){ /* spectre type -> GRS */ + G=s2sp(M|std=1); + L=length(G); + for(V=[],I=L-2;I>=0;I--) V=cons(makev([I+10]),V); + V=cons(makev([L+9]),V); + G=sp2grs(G,V,[1,length(G[0]),-1]|mat=1); + if(getopt(short)!=0){ + V=append(cdr(V),[V[0]]); + G=shortv(G,V); + } + R=chkspt(G|mat=1); + if(Mt!=1) Mt=0; + if(R[2]!=2 || R[3]!=0 || !(R=getbygrs(G,1|mat=1))) return 0; + MZ=newmat(1,1); + SS=length(G); + if(Mt==1) SS=SS*(SS-1)/2; + for(M=[],I=0;I<SS;I++) M=cons(MZ,M); + for(RR=R; RR!=[]; RR=cdr(RR)){ + RT=car(RR)[0]; + if(type(RT)==4){ + if(RT[0]!=0) M=mmc(M,[RT[0]]|simplify=Simp); + M=mmc(M,[cdr(RT)]); + } + } +/* for(R=cdr(R);R!=[];R=cdr(R)) M=mmc(M,[car(R)[0]]|mult=Mt); */ + } + if(X==0) return M; + L=length(M); + if((L>=6 && Mt!=0)||(L==3&&Mt==1)){ + for(SS=2,I=3; I<L; I+=(++SS)); + if(I!=L) return -1; + Mt=1; + }else{ + SS=L;Mt=0; + } + if(length(X)==SS+1){ + if(car(X)!=0&&(M=mmc(M,[car(X)]|mult=Mt))==0) return M; + return mmc(M,cdr(X)|mult=Mt); + } + for(I=X;I!=[];I=cdr(I)) if(I[0]!=0) break; + if(I==[]) return M; + Simp=getopt(simplify); + if(Simp!=0 && type(Simp)!=1) Simp=2; + N=newvect(L); + for(I=0;I<L;I++) N[I]=dupmat(M[I]); + S=size(N[0])[0]; + if(type(X)==4&&length(X)>SS){ /* addition */ + for(I=0;I<SS;I++,X=cdr(X)) if(X[I] != 0) N[I] = radd(N[I],car(X)); + } + if(length(X)!=1) return 0; + X=X[0]; + MZ = newmat(S,S); + MM = newvect(L); + for(M1=J=0; J<SS; J++){ + for(R=[],I=SS-1; I>=0; I--){ + if(I==J){ + for(RR=[],K=SS-1; K>=0; K--) + RR=cons((K==I)?N[K]+diagm(S,[X]):N[K],RR); + R=cons(RR,R); + }else R=cons([MZ],R); + } + MM[J]=newbmat(SS,SS,R); + if(J==0) M1=MM[0]; + else M1=radd(M1,MM[J]); + } + /* middle convolution */ + for(P=0,Q=1;J<L;J++){ /* A_{P,Q} */ + for(R=[],I=SS-1; I>=0; I--){ + for(RR=[],K=SS-1;K>=0;K--){ + MT=MZ; + if(I==K){ + MT=N[J]; + if(I==P) MT-=N[Q]; + else if(I==Q) MT-=N[P]; + }else if(I==P && K==Q) MT=N[Q]; + else if(I==Q && K==P) MT=N[P]; + RR=cons(MT,RR); + } + R=cons(RR,R); + } + MM[J]=newbmat(SS,SS,R); + if(++Q==SS){ + P++;Q=P+1; + } + } + for(R=[],I=SS-1; I>=0; I--){ + for(RR=[N[I]],J=0; J<I; J++) RR=cons(MZ,RR); + R=cons(RR,R); + } + M0 = newbmat(SS,SS,R); + KE = append(mykernel(M0|opt=1),mykernel(M1|opt=1)); + if(length(KE) == 0) return MM; + KK = mtoupper(lv2m(KE),0); + for(I=0;I<L;I++) MM[I] = mmod(MM[I],KK); + if(Simp!=0) MM = mdsimplify(MM|type=Simp); + return MM; +} + +def lpgcd(L) +{ + for(F=[]; L!=[]; L=cdr(L)){ + if((P=car(L))==0) continue; + if(F==[]){ + F=fctr(P); + S=length(F); + S--; + V=newvect(S); + M=newvect(S); + for(I=0; I<S; I++){ + M[I] = F[I+1][1]; + V[I] = F[I+1][0]; + } + N=nm(ptozp(P|factor=1)[1]); + continue; + } + N=igcd(ptozp(P|factor=1)[1],N); + for(I=0; I<S; I++){ + for(Q=P,CT=0; CT<M[I]; CT++) + if((Q=tdiv(Q,V[I])) == 0) break; + if(CT<M[I]) M[I]=CT; + } + } + if(F==[]) return 0; + for(Q=N,I=0;I<S; I++){ + while(M[I]>0){ + Q *= V[I]; + M[I]--; + } + } + return Q; +} + +def mdivisor(M,X) +{ + S=size(M=dupmat(M)); + XX=(type(X)==4||X==0)?X:[0,X]; + S0=S[0]; S1=S[1]; + if((Tr=getopt(trans))==1||Tr==2){ + Tr0=1; + GR=mgen(S0,0,1,0); GC=mgen(S1,0,1,0); + }else Tr=Tr0=0; + /* 0,a,b : (a,b)->(1,1) + 1 : (1,1) invertible + 2,i,M : line 0,i by M + 3,j,M : col 0,j by M + 4,j : col 1 += col j + 5,j,T : line j by T + 6,j,T : col 1 += col j by T (non-com) + 7,j : line 2<->j (non-com) + */ + if(type(V=getopt(dviout))==1){ + if(type(XX)==4 && type(XX[0])>1) Var=[XX[1],"\\partial"]; + else Var=0; + Tr=(abs(V)==3)?0:1; + MM=dupmat(M); + II=((S[0]>S[1])?S[1]:S[0])+1; + if(abs(V)>1){ + Is1=Js1=S[0]+S[1]; + Is=Js=[0,[Is1]]; + }else{ + Is=[0,[Is1=S[0]]];Js=[0,[Js1=S[1]]]; + } + VV=V; + V=newvect(II); + for(I=0;I<II;I++) V[I]=[]; + N=newbmat(2,2,[[M,mgen(S[0],0,[1],0)],[mgen(S[1],0,[1],0)]]); + mdivisor(M,X|step=1,dviout=V); + L=S[0]+S[1]; + if(Tr){ + NN=mperm(N,Is1,Js1); + for(K=S[0];K<Is1;K++){ + for(L=S[1];L<Js1;L++) + NN[K][L]=" "; + } + Out=[[mperm(NN,Is,Js)]]; + } + for(I=1;I<II;I++){ + I0=I-1; + if(V[I]==[]) continue; + for(T=reverse(V[I]);T!=[];T=cdr(T)){ + St=[]; + C=car(R=car(T)); + if(C==0){ + N=mperm(N,(R[1]==0)?0:[[R[1]+I0,I0]],(R[2]==0)?0:[[R[2]+I0,I0]]); + + if(Tr){ + if(R[2]!=0) St=append(["C",I,"\\leftrightarrow C",R[2]+I],St); + if(R[1]!=0){ + if(R[2]!=0) St=cons(",\\ ",St); + St=append(["L",I,"\\leftrightarrow L",R[1]+I],St); + } + Out=cons(St,Out); + } + }else if(C==1){ + P=1/N[I0][I0];N[I0][I0]=1; + if(P!=1){ + for(J=I;J<L;J++) + N[I0][J]=muldo(P,N[I0][J],XX); + + if(Tr){ + St=append(["L",I,"\\leftarrow(",P,")","\\times L",I],St); + Out=cons(St,Out); + NN=mperm(N,Is1,Js1); + for(K=S[0];K<Is1;K++){ + for(L=S[1];L<Js1;L++) + NN[K][L]=" "; + } + Out=cons(["\\to",mperm(NN,Is,Js)],Out); + } + } + for(F=0,J=I;J<S[0];J++){ + if((P=N[J][I0])==0) continue; + F++; + N[J][I0]=0; + for(K=I;K<L;K++) + N[J][K]=red(N[J][K]-muldo(P,N[I0][K],XX)); + + } + if(F){ + if(Tr){ + Out=cons(["Li\\ -\\!=\\ \\circ\\times L",I,"\\quad(i>",I,")"],Out); + NN=mperm(N,Is1,Js1); + for(K=S[0];K<Is1;K++){ + for(L=S[1];L<Js1;L++) + NN[K][L]=" "; + } + Out=cons(["\\to",mperm(NN,Is,Js)],Out); + } + } + for(F=0,J=I;J<S[1];J++){ + if((P=N[I0][J])==0) continue; + F++; + N[I0][J]=0; + for(K=I;K<L;K++) + N[K][J]=red(N[K][J]-muldo(N[K][I0],P,XX)); + } + if(F&&Tr) Out=cons(["Cj\\ -\\!=\\ C",I,"\\times\\circ\\quad(j>",I,")"],Out); + else continue; + }else if(C==2){ + C=mat(N[I0],N[R[1]+I0]);C=muldo(R[2],C,XX); + for(J=0;J<L;J++){ + N[I0][J]=C[0][J];N[R[1]+I0][J]=C[1][J]; + } + if(Tr) Out=cons([dupmat(R[2]),"\\begin{pmatrix}L",I,"\\\\L",R[1]+I, + "\\end{pmatrix}"],Out); + }else if(C==3){ + C=newmat(L,2); + for(J=0;J<L;J++){ + C[J][0]=N[J][I0];C[J][1]=N[J][R[1]+I0]; + } + C=muldo(C,R[2],XX); + for(J=0;J<L;J++){ + N[J][I0]=C[J][0];N[J][R[1]+I0]=C[J][1]; + } + if(Tr) Out=cons(["\\begin{pmatrix}C",I,"&C",R[1]+I,"\\end{pmatrix}", + dupmat(R[2])],Out); + }else if(C==4){ + for(J=0;J<L;J++) + N[J][I0]=red(N[J][I0]+N[J][R[1]+I0]); + if(Tr) Out=cons(["C",I,"\\ +\\!=\\ C",R[1]+I],Out); + }else if(C==5){ + for(J=0;J<L;J++) + N[I0+R[1]][J]=red(R[2]*N[I0+R[1]][J]); + if(Tr) Out=cons(["L",I+R[1],"\\leftarrow(", R[2],")\\times L",I+R[1]], + Out); + }else if(C==6){ + for(J=0;J<L;J++) + N[J][I0]=N[J][I0]+muldo(N[J][I0+R[1]],R[2],XX); + if(Tr) Out=cons(["C",I,"\\ +\\!=\\ C",I+R[1],"\\times(", R[2],")"], + Out); + }else if(C==7){ + mycat(["line",I+1,"\\leftrightarrow",R[1]+I]); + for(J=0;J<L;J++){ + C=N[I][J];N[I][J]=N[R[1]+I0][J];N[R[1]+I0][J]=C; + } + if(Tr) Out=cons(["L",I+1,"\\leftrightarrow L",R[1]+I],Out); + } + if(Tr){ + NN=mperm(N,Is,Js); + for(K=S[0];K<Is1;K++){ + for(L=S[1];L<Js1;L++) + NN[K][L]=" "; + } + Out=cons(["\\to",NN],Out); + } + } + } + if(!Tr){ + NN=mperm(N,Is,Js); + Out=[]; + } + if(S[0]+S[1]==Is1){ + N1=mperm(NN,[0,[S[0]]],[S[1],[S[0]]]); + N2=mperm(NN,[S[0],[S[1]]],[0,[S[1]]]); + N3=mperm(NN,[0,[S[0]]],[0,[S[1]]]); + R1=mdivisor(N1,X|trans=1)[1]; + R2=mdivisor(N2,X|trans=1)[1]; + if(Tr){ + Out=cons(["\\text{As a result,}"],Out); + Out=cons([N3,"=",N1,MM,N2],Out); + if(S[0]==S[1] && N3==mgen(S[0],0,1,0)){ + Out=cons(["=",muldo(N2,N1,XX),MM,"."],Out); + }else{ + Out=cons([N1,"^{-1}=",R1,","],Out); + Out=cons([N2,"^{-1}=",R2,"."],Out); + } + }else{ + Out=cons([N3,"=P",MM,"Q,"],Out); + Out=cons(["P=",N1,"=",R1,"^{-1},"],Out); + Out=cons(["Q=",N2,"=",R2,"^{-1}."],Out); + } + } + Out = ltotex(reverse(Out)|opt=["cr","spts0"],str=1,cr=15,var=Var); + if(S[0]+S[1]==Is1) + Out=str_subst(Out,"\\texttt{ }",""); + if(VV>0){ + dviout(Out|eq=6); + return NN; + } + return Out; + }else if(type(V)!=5) V=0; + + if(type(St=getopt(step))!=1) St=0; + for(FF=": start";;){ + if(St && V==0){ + if(Tr){ + mycat0([St,FF,"\n"],0); + mycat([GR,"\n"]);mycat([M,"\n"]);mycat([GC,"\n"]); + } + else mycat0([St,FF,"\n",M,"\n"],0); + } + if(X==0||X==[0,0]){ /* search minimal non-zero element */ + for(K=F=I=0; I<S0; I++){ + for(J=0; J<S1; J++){ + if((P=abs(M[I][J]))!=0 && (K>P || K==0)){ + K=P; R=[I,J]; + } + } + } + R=cons(K-1,[R]); + } + else R=mymindeg(M,XX[1]|opt=1); + if(R[0]<0){ /*zero matrix */ + if(Tr) return [[],mgen(S0,0,1,0),mgen(S1,0,1,0)]; + return []; + } + R0=R[1][0];R1=R[1][1]; + if(R0!=0){ + M=rowx(M,0,R0); + if(Tr) GR=rowx(GR,0,R0); + } + if(R1!=0){ + M=colx(M,0,R1); + if(Tr) GC=colx(GC,0,R1); + } + if(St>0 && (R0!=0 || R1!=0)) + if(type(V)==5) V[St]=cons([0,R0,R1],V[St]); + else if(Tr){ + mycat0([St,": (",R0+1,",",R1+1,") -> (1,1)\n"],0); + mycat([GR,"\n"]);mycat([M,"\n"]);mycat([GC,"\n"]); + }else mycat0([St,": (",R0+1,",",R1+1,") -> (1,1)\n",M,"\n"],0); + if(R[0]==0){ /* (1,1) : invertible */ + if(type(V)==5) V[St]=cons([1],V[St]); + P=M[0][0]; M[0][0]=1; + for(J=0;J<S1;J++){ /* (1,1) -> 1 */ + if(J>0) M[0][J]= red(M[0][J]/P); + if(Tr) GR[0][J]=red(GR[0][J]/P); + } + if(S0>1 && S1>1) N=newmat(S0-1,S1-1); + else N=0; + for(I=1;I<S0;I++){ + P=M[I][0]; M[I][0]=0; + for(J=1;J<S1;J++) + N[I-1][J-1]=M[I][J]=red(M[I][J] - muldo(P,M[0][J],XX)); + if(Tr){ + for(J=0;J<S0;J++) + GR[I][J] = red(GR[I][J] -muldo(P,GR[0][J],XX)); + } + } + if(Tr){ + for(J=1;J<S1; J++){ + for(I=0;I<S1;I++) GC[I][J]=red(GC[I][J]-muldo(GC[I][0],M[0][J],XX)); + M[0][J]=0; + } + } + if(St>0 && V==0){ + if(Tr){ + mycat0([St,": unit\n"],0); + mycat([GR,"\n"]);mycat([M,"\n"]);mycat([GC,"\n"]); + } + else mycat0([St,": unit\n",M,"\n"],0); + } + if(N==0){ + if(!Tr) return [1]; + if(Tr==2){ + GR0=mdivisor(GR,X|trans=1)[1]; + GC0=mdivisor(GC,X|trans=1)[1]; + return [[1],GR,GC,GR0,GC0]; + } + return [[1],GR,GC]; + } + R=mdivisor(N,XX|dviout=V,trans=Tr0,step=(St>0)?St+1:St); + if(!Tr) return cons(1,R); + GR=muldo(newbmat(2,2,[[1],[0,R[1]]]),GR,XX); + GC=muldo(GC,newbmat(2,2,[[1],[0,R[2]]]),XX); + if(S0==S1 && countin(1,1,R[0])==S0-1){ + GR=muldo(GC,GR,XX); GC=mgen(S0,0,1,0); + } + if(Tr==2){ + GR0=mdivisor(GR,X|trans=1)[1]; + GC0=mdivisor(GC,X|trans=1)[1]; + return [cons(1,R[0]),GR,GC,GR0,GC0]; + } + return [cons(1,R[0]),GR,GC]; + } + for(I=1;I<S0;I++){ + if(M[I][0]!=0){ +/* Error! when mygcd(A,B,0) with A<=0 or B<=0 */ + R=mygcd(M[I][0],M[0][0],XX); /* R[0]=R[1]*M[I][0]+R[2]*M[0][0] */ + M[0][0]=R[0]; M[I][0]=0; /* 0=R[3]*M[I][0]+R[4]*M[0][0] */ + for(J=1;J<S1;J++){ + T=red(muldo(R[1],M[I][J],XX)+muldo(R[2],M[0][J],XX)); + M[I][J]=red(muldo(R[3],M[I][J],XX)+muldo(R[4],M[0][J],XX)); + M[0][J]=T; + } + if(Tr){ + for(J=0;J<S0;J++){ + T=red(muldo(R[1],GR[I][J],XX)+muldo(R[2],GR[0][J],XX)); + GR[I][J]=red(muldo(R[3],GR[I][J],XX)+muldo(R[4],GR[0][J],XX)); + GR[0][J]=T; + } + } + if(St && V==0){ + mycat([" [",R[2],R[1],"]*"]); + mycat([" [",R[4],R[3],"]"]); + } + if(type(V)==5) V[St]=cons([2,I,mat([R[2],R[1]],[R[4],R[3]])],V[St]); + FF=": line 1 & "+rtostr(I+1); I=S0; + } + } + if(I>S0) continue; + for(J=1;J<S1;J++){ + if(M[0][J]!=0){ + R=mygcd(M[0][J],M[0][0],XX|rev=1); /* R[0]=M[0][J]*R[1]+M[0][0]*R[2] */ + M[0][0]=R[0]; M[0][J]=0; /* 0=M[0][J]*R[3]+M[0][0]*R[4] */ + for(I=1;I<S0;I++){ + T=red(muldo(M[I][J],R[1],XX)+muldo(M[I][0],R[2],XX)); + M[I][J]=red(muldo(M[I][J],R[3],XX)+muldo(M[I][0],R[4],XX)); + M[I][0]=T; + } + if(Tr){ + for(I=0;I<S1;I++){ + T=red(muldo(GC[I][J],R[1],XX)+muldo(GC[I][0],R[2],XX)); + GC[I][J]=red(muldo(GC[I][J],R[3],XX)+muldo(GC[I][0],R[4],XX)); + GC[I][0]=T; + } + } + if(type(V)==5) V[St]=cons([3,J,mat([R[2],R[4]],[R[1],R[3]])],V[St]); + FF=": column 1 & "+rtostr(J+1);J=S1; + if(St && V==0){ + mycat([" *[",R[2],R[4],"]"]); + mycat([" [",R[1],R[3],"]"]); + } + } + } + if(J>S1) continue; + if(S0==1 || S1==1){ + P=M[0][0]; + if(X==0){ + if(P<0){ + P=-P; + if(Tr) for(J=0;J<S0;J++) GR[0][J]=-GR[0][J]; + if(type(V)==5) V[St]=cons([5,0,-1],V[St]); + } + }else{ + P=nm(P); + if((R=fctr(P)[0][0])!=1){ + P/=R; + if(Tr) for(J=0;J<S0;J++) GR[0][J]/=R; + if(type(V)==5) V[St]=cons([5,0,1/R],V[St]); + } + } + if(!Tr) return [P]; + if(Tr==2){ + GR0=mdivisor(GR,X|trans=1)[1]; + GC0=mdivisor(GC,X|trans=1)[1]; + return [[P],GR,GC,GR0,GC0]; + } + return [[P],GR,GC]; + } + if(XX==0 || (type(XX)==4 && XX[0]==0)){ /* commutative case */ + P=M[0][0]; + for(I=1; I<S0; I++){ + for(J=1; J<S1; J++) + if(divdo(M[I][J],P,XX)[1]!=0) break; + if(J<S1){ + if(type(V)==5) V[St]=cons([4,J],V[St]); + FF=": column 1 += col"+rtostr(J+1); + for(I=1;I<S0;I++) M[I][0]=M[I][J]; + if(Tr) for(I=0;I<S1;I++) GC[I][0]=red(GC[I][0]+GC[I][J]); + break; + } + } + if(J<S1) continue; + N=newmat(S0-1,S1-1); + for(I=1;I<S0;I++) + for(J=1;J<S1;J++) N[I-1][J-1]=red(M[I][J]/P); + if(X==0){ + if(P<0) P=-P; + if(Tr) for(J=0;J<S0;J++) GR[0][J]=-GR[0][J]; + }else{ + P=M[0][0]; + P=nm(P); + P/=fctr(P)[0][0]; + if(Tr) for(J=0;J<S0;J++) GR[0][J]/=fctr(P)[0][0]; + } + R=mdivisor(N,XX|dviout=V,trans=Tr0,step=(St>0)?St+1:St); + RT=(Tr)?R[0]:R; + for(RR=[],L=reverse(RT);L!=[];L=cdr(L)) + RR=cons(red(P*car(L)),RR); + RR=cons(P,RR); + if(!Tr) return RR; + GR=muldo(newbmat(2,2,[[1],[0,R[1]]]),GR,XX); + GC=muldo(GC,newbmat(2,2,[[1],[0,R[2]]]),XX); + if(S0==S1 && countin(1,1,RR)==S0){ + GR=muldo(GC,GR,XX); GC=mgen(S0,0,1,0); + } + if(Tr==2){ + GR0=mdivisor(GR,X|trans=1)[1]; + GC0=mdivisor(GC,X|trans=1)[1]; + return [RR,GR,GC,GR0,GC0]; + } + return [RR,GR,GC]; + } /* End of commutative case */ + for(I=1; I<S0; I++){ + for(J=1; J<S1; J++){ + if(M[I][J] != 0){ + for(T=1;I<S0;T*=XX[0]){ + R=divdo(muldo(M[I][J],T,XX),M[0][0],XX); + if(R[1]!=0){ + if(type(V)==5) V[St]=cons([6,J,T],V[St]); + FF=": column 1 += col"+rtostr((J+1)*T); + if(I>1){ + M=rowx(M,1,I); + if(Tr) GR=rowx(GR,1,I); + if(type(V)==5) V[St]=cons([7,I],V[St]); + FF+=", line 2<->"+rtostr(I+1); + } + for(I=1;I<S0;I++) M[I][0]=muldo(M[I][J],T,XX); + if(Tr) + for(I=1;I<S1;I++) GC[I][0]=red(GC[I][0]+muldo(GC[I][J],T,XX)); + I=S0+1; J=S1; + break; + } + } + } + } + if(I>S0) break; + } + if(I==S0) return []; /* zero matrix : never happen */ + } +} + +def mdsimplify(L) +{ + T=getopt(type); + SS=0; + if(type(L)==6){ + L=[L]; SS=1; + } + if(type(L)==5){ + SS=2; + L = vtol(L); + } + M=car(L); + S=size(M)[0]; +#if 0 + MN=newmat(S,S); + MD=newmat(S,S); + for(I=0;I<S;I++){ + for(J=0;J<S;J++){ + TN=0;TD=1; + for(PL=L;PL!=[];PL=cdr(PL)){ + TM=red(car(PL)[I][J]); + TN=lgcd([TN,nm(TM)]|pol=1); + TD=llcm([TD,dn(TM)]|pol=1); + } + MN[I][J]=TM; + MD[I][J]=TN; + } + } + for(I=0;I<S;I++){ + for(J=0;J<S;J++){ + if(I==J||type(TD[I][J])<2||type(TN[J][I])<2) continue; + for(FC=cdr(fctr(TD[I][J]));FC!=[];){ + TFC=car(FC); + if(type(red(TN[J][I]/TFC[0]))>2) continue; + } + } + } +#endif + DD=newvect(S); + for(I=0; I<S; I++){ + LN=RN=[]; + LD=RD=1; + for(LL=L; LL!=[]; LL=cdr(LL)){ + M = car(LL); + for(J=0; J<S; J++){ + if(J==I) continue; + if((MM=M[I][J]) != 0){ + LN = cons(nm(MM),LN); + if(type(MM)==3 && tdiv(LD,P=dn(MM))==0) + LD=tdiv(LD*P,gcd(LD,P)); + } + if((MM=M[J][I]) != 0){ + RN = cons(nm(MM),RN); + if(type(MM)==3 && tdiv(RD,P=dn(MM))==0) + RD=tdiv(RD*P,gcd(RD,P)); + } + } + } + if(T==1 || T==3) LQ=RD; + else{ + P=lpgcd(LN); + LQ=gcd(P,RD); + if(P!=0) LQ *= nm(fctr(P)[0][0]); + } + if(T==1 || T==2) RQ=LD; + else{ + P=lpgcd(RN); + RQ=gcd(P,LD); + if(P!=0) RQ *= nm(fctr(P)[0][0]); + } + if((P=gcdz(LQ,RQ))!=1){ + LQ = red(LQ/P); RQ=red(RQ/P); + } + DD[I]=red(LQ/RQ); + if(LQ!=1 || RQ!=1){ + for(LA=[],LL=L; LL!=[]; LL=cdr(LL)){ + M = car(LL); + for(J=0; J<S; J++){ + if(I!=J){ + if(LQ!=1){ + M[I][J] = red(M[I][J]/LQ); + M[J][I] = red(M[J][I]*LQ); + } + if(RQ!=1){ + M[J][I] = red(M[J][I]/RQ); + M[I][J] = red(M[I][J]*RQ); + } + } + } + } + } + } + if(SS==2) L=ltov(L); + if(SS==1) L=L[0]; + if(getopt(show)==1) L=[L,DD]; + return L; +} + +def m2mc(M,X) +{ + if(type(M)<2){ + mycat([ +"m2mc(m,t) or m2mc(m,[t,s])\t Calculation of Pfaff system of two variables\n", +" m : list of 5 residue mat. or GRS/spc for rigid 4 singular points\n", +" t : [a0,ay,a1,c], swap, GRS, GRSC, sp, irreducible, pair, pairs, Pfaff, All\n", +" s : TeX, dviout, GRSC\n", +" option : swap, small, simplify, operator, int\n", +" Ex: m2mc(\"21,21,21,21\",\"All\")\n" +]); + return 0; + } + if(type(M)==7) M=s2sp(M); + if(type(X)==7) X=[X]; + Simp=getopt(simplify); + if(Simp!=0 && type(Simp)!=1) Simp=2; + Small=(getopt(small)==1)?1:0; + if(type(M[0])==4){ + if(type(M[0][0])==1){ /* spectral type */ + XX=getopt(dep); + if(type(XX)!=4 || type(XX[0])>1) XX=[1,length(M[0])]; + M=sp2grs(M,[d,a,b,c],[XX[0],XX[1],-2]|mat=1); + if(XX[0]>1 && XX[1]<2) XX=[XX[0],2]; + if(getopt(int)!=0){ + T=M[XX[0]-1][XX[1]-1][1]; + for(V=vars(T);V!=[];V=cdr(V)){ + F=coef(T,1,car(V)); + if(type(F)==1 && dn(F)>1) + M = subst(M,car(V),dn(F)*car(V)); + } + } + V=vars(M); + if(findin(d1,V)>=0 && findin(d2,V)<0 && findin(d3,V)<0) + M=subst(M,d1,d); + } + RC=chkspt(M|mat=1); + if(RC[2] != 2 || RC[3] != 0){ /* rigidity idx and Fuchs cond */ + erno(0);return 0; + } + R=getbygrs(M,1|mat=1); + if(getopt(anal)==1) return R; /* called by mc2grs() */ + Z=newmat(1,1,[[0]]); + N=[Z,Z,Z,Z,Z]; + for(RR=R; RR!=[]; RR=cdr(RR)){ + RT=car(RR)[0]; + if(type(RT)==4){ + if(RT[0]!=0) N=m2mc(N,RT[0]|simplify=Simp); + N=m2mc(N,[RT[1],RT[2],RT[3]]|simplify=Simp); + } + } + if(type(X)==4 && type(X[0])==7) + return m2mc(N,X|keep=Keep,small=Small); + return N; + } + if(type(X)==4 && type(X[0])==7){ + Keep=(getopt(keep)==1)?1:0; + if(X[0]=="All"){ + dviout("Riemann scheme"|keep=1); + m2mc(M,[(findin("GRSC",X)>=0)?"GRSC":"GRS","dviout"]|keep=1); + dviout("Spectral types : "|keep=1); + m2mc(M,["sp","dviout"]|keep=1); + dviout("\\\\\nBy the decompositions"|keep=1); + R=m2mc(M,["pairs","dviout"]|keep=1); + for(R0=R1=[],I=1; R!=[]; I++, R=cdr(R)){ + for(S=0,RR=car(R)[1][0];RR!=[]; RR=cdr(RR)) S+=RR[0]; + if(S==0) R0=cons(I,R0); + else if(S<0) R1=cons(I,R1); + } + S="irreducibility\\ $"+((length(R0)==0)?"\\Leftrightarrow":"\\Leftarrow") + +"\\ \\emptyset=\\mathbb Z\\cap$"; + dviout(S|keep=1); + m2mc(M,["irreducible","dviout"]|keep=1); + if(R0!=[]) + dviout(ltotex(reverse(R0))|eq=0,keep=1, + title="The following conditions may not be necessary for the irreducibility."); + if(R1!=[]) + dviout(ltotex(reverse(R1))|eq=0,keep=1,title="The following conditions can be omitted."); + if(getopt(operator)!=0){ + dviout("The equation in a Pfaff form is"|keep=1); + m2mc(M,["Pfaff","dviout"]|keep=Keep,small=Small); + } + else if(Keep!=1) dviout(" "); + return M; + } + Show=0; + if(length(X)>1){ + if(X[1]=="dviout") Show=2; + if(X[1]=="TeX") Show=1; + } + if(X[0]=="GRS"||X[0]=="GRSC"||X[0]=="sp"){ + Y=radd(-M[0],-M[1]-M[2]); + if(X[0]!="GRSC"){ + L=meigen([M[0],M[1],M[2],M[3],M[4],Y,radd(-M[1],-M[3]-M[4]),radd(Y,-M[3]-M[4])]|mult=1); + if(X[0]=="sp"){ + L=chkspt(L|opt="sp"); + V=[L[1],L[0],L[2],L[5]]; W=[L[1],L[3],L[4],L[6]]; + if(Show==2) dviout(s2sp(V)+" : "+s2sp(W)|keep=Keep); + return [V,W]; + } + S="x=0&x=y&x=1&y=0&y=1&x=\\infty&y=\\infty&x=y=\\infty\\\\\n"; + }else{ + L=meigen([M[0],M[1],M[2],M[3],M[4],Y,radd(-M[1],-M[3]-M[4]),radd(Y,-M[3]-M[4]), + radd(M[0],M[1]+M[3]),radd(M[1],M[2]+M[4])]|mult=1); + S="x=0&x=y&x=1&y=0&y=1&x=\\infty&y=\\infty&x=y=\\infty&x=y=0&x=y=1\\\\\n"; + } + T=ltotex(L|opt="GRS",pre=S,small=Small); + if(Show==2) dviout(T|eq=0,keep=Keep); + if(Show==1) L=T; + return L; + } + if(X[0]=="Pfaff"){ + S=ltotex(M|opt=["Pfaff",u,x,x-y,x-1,y,y-1],small=Small); + if(Show==2) dviout(S|eq=0,keep=Keep); + return S; + } + if(X[0]=="irreducible"){ + L=meigen([M[0],M[1],M[2],radd(-M[0],-M[1]-M[2])]|mult=1); + S=getbygrs(L,10|mat=1); + if(Show==2) dviout(ltotex(S)|eq=0,keep=Keep); + return S; + } + if(X[0]=="pairs"||X[0]=="pair"){ + L=meigen([M[0],M[1],M[2],radd(-M[0],-M[1]-M[2])]|mult=1); + S=chkspt(L|opt=0); + V=(Show==2)?1:0; + S=sproot(L,X[0]|dviout=V,keep=Keep); + return S; + } + if(X[0]=="swap"){ + Swap=getopt(swap); + if(type(Swap)<1 || Swap==1) + return newvect(5,[M[3],M[1],M[4],M[0],M[2]]); + if(Swap==2) + return newvect(5,[radd(M[0],M[1]+M[3]),M[4],M[2],radd(-M[1],-M[3]-M[4]),M[1]]); + if(type(Swap)==4 && length(Swap)==3){ + MX=radd(-M[0],-M[1]-M[2]); MY=radd(-M[3],-M[1]-M[4]); + if(Swap[0]==1){ + MX0=M[2];MY0=M[4]; + } + else if(Swap[0]==2){ + MX0=MX;MY0=MY; + }else{ + MX0=M[0];MY0=M[3]; + } + if(Swap[1]==1){ + MX1=M[2];MY1=M[4]; + } + else if(Swap[1]==2){ + MX1=MX;MY1=MY; + }else{ + MX1=M[0];MY1=M[3]; + } + return newvect(5,MX0,M[1],MX1,MY0,MY1); + } + } + return 0; + } + if(getopt(swap)==1) + return m2mc(m2mc(m2mc(M,"swap"),X),"swap"); + N=newvect(5); + for(I=0;I<5;I++) + N[I]=M[I]; + S=size(N[0])[0]; + if(type(X)==4){ + for(I=0;I<3;I++){ + if(X[I] != 0) + N[I] = radd(N[I],X[I]); + } + if(length(X)==3) return N; + X=X[3]; + } + MZ = newmat(S,S); + ME = mgen(S,0,[X],0); + MM = newvect(5); + MM[0] = newbmat(3,3, [[N[0]+ME,N[1],N[2]], [MZ], [MZ]]); + MM[1] = newbmat(3,3, [[MZ], [N[0],N[1]+ME,N[2]], [MZ]]); + MM[2] = newbmat(3,3, [[MZ], [MZ], [N[0],N[1],N[2]+ME]]); + MM[3] = newbmat(3,3, [[N[3]+N[1],-N[1]], [-N[0],radd(N[0],N[3])], [MZ,MZ,N[3]]]); + MM[4] = newbmat(3,3, [[N[4]], [MZ,N[4]+N[2],-N[2]], [MZ,-N[1],radd(N[4],N[1])]]); + M0 = newbmat(3,3, [[N[0]], [MZ,N[1]], [MZ,MZ,N[2]]]); + M1 = radd(MM[0],MM[1]+MM[2]); + KE = append(mykernel(M0|opt=1),mykernel(M1|opt=1)); + if(length(KE) == 0) return MM; + KK = mtoupper(lv2m(KE),0); + for(I=0;I<5;I++) + MM[I] = mmod(MM[I],KK); + if(Simp!=0) MM = mdsimplify(MM|type=Simp); + return MM; +} + +def easierpol(P,X) +{ + if(type(X) == 4){ + for( Y = [] ; X != []; X = cdr(X) ) + Y = cons([0,car(X)], Y); + }else + Y = [0,X]; + return rede(P,Y); +} + +def l2p(L,V) +{ + if(type(L)==4){ + for(S=I=0;L!=[];L=cdr(L),I++) + S+=car(L)*V^I; + return S; + }else if(type(L)==5){ + for(S=0,I=size(L)-1;I>=0;I--) + S+=L[I]*V^I; + return S; + }else{ + if(type(D=getopt(size))==1) D--; + else D=mydeg(L,V); + for(S=[];D>=0;D--) + S=cons(mycoef(L,D,V),S); + return S; + } +} + +def paracmpl(L,V) +{ + if(type(L)==4) L=ltov(L); + S=length(L); + Lim=getopt(lim);Low=getopt(low); + if((F=type(L[0]))>3){ + SV=length(L[0]); + V0=makenewv(L); + for(LL=[];S>0;S--) + LL=cons(l2p(L[S-1],V0),LL); + G=paracmpl(LL,V|option_list=getopt()); + H=(Lim==1)?G:G[0]; + for(HH=[];H!=[];H=cdr(H)){ + HT=l2p(car(H),V0|size=SV); + if(F==5) HT=ltov(HT); + HH=cons(HT,HH); + } + H=reverse(HH); + return (Lim==1)?H:[H,G[1]]; + } + H=newvect(S);D=newvect(S); + for(Dn=1,I=0;I<S;I++){ + P=dn(L[I]=red(L[I])); + Dn=red(Dn*P/gcd(Dn,P)); + } + if(Dn!=1){ + for(I=0;I<S;I++) L[I]=red(Dn*L[I]); + } + G=diagm(S,[1]); + if(type(V)<4) V=[V]; + VV=lsort(vars(L),V,1); + V=car(V); + for(I=0;I<S;I++){ + P=L[I]; + for(J=0,C=P;J<I;J++){ + if(D[J]!=[]){ + C=mycoef(C,DT,VV); + P-=C*H[J]; + G=cola(G,I,J,-C); + } + } + if(P==0){ + D[I]=[];continue; + } + P0=nm(red(P)); + K=mymindeg(P0,V); + C=mycoef(P0,K,V); + if(K>0){ + P=red(P/V^K); + G=colm(G,I,1/V^K); + } + for(DT=[],VT=VV;VT!=[];VT=cdr(VT)){ + K=(Low==1)?mymindeg(C,car(VT)):mydeg(C,car(VT)); + C=mycoef(C,K,car(VT)); + DT=cons(K,DT); + } + D[I]=DT=reverse(DT); + for(C=P,VT=VV;VT!=[];VT=cdr(VT),DT=cdr(DT)) + C=mycoef(C,car(DT),car(VT)); + H[I]=P=red(P/C); + G=colm(G,I,1/C); + } + if(Dn!=1){ + for(I=0;I<S;I++){ + TH=red(H[I]/Dn); + F=fctr(dn(TH));F=cdr(F); + if(Lim!=1||subst(Dn,V,0)==0){ + for(;F!=[];F=cdr(F)){ + if(lsort(vars(car(F)[0]),VV,2)==[]){ + C=car(F)[0]^car(F)[1]; + TH=red(TH*C); + G=colm(G,I,C); + } + } + } + H[I]=TH; + } + } + H=vtol(H); + if(Lim==1){ + H=subst(H,V,0); + return map(red,H); + } + return [H,map(red,G)]; +} + +def mykernel(M) +{ + if(getopt(opt) == 1) + M = mtranspose(M); + S = size(M); + R = []; + MM = mtoupper(M,-1); + for(I = S[0]-1; I >= 0; I--){ + for(J = S[1]-1; J >= 0; J--){ + if(MM[I][J] != 0) + return R; + } + P = easierpol(MM[I][S[1]],zz); + RR = newvect(S[0]); + for(J = 0; J < S[0]; J++) + RR[J] = mycoef(P,J,zz); + R = cons(RR,R); + } + return R; +} + +def myimage(M) +{ + if(getopt(opt) == 1) + M = mtranspose(M); + S = size(M); + V = []; + M0 = newvect(S[1]); + M = mtoupper(M,0|opt=1); + for(I = S[0]-1; I >= 0; I--) + if(M0 != M[I]) + V = cons(vtozv(M[I])[0], V); + return V; +} + +def mymod(V,L) +{ + Opt = getopt(opt); + S = length(V); + VP = newvect(S); + if(type(L)==6) + L=m2lv(L); + CT = length(L); + for(LT = L; LT != []; LT = cdr(LT)){ + for(VT = car(LT), I = 0; I < S; I++) + if(VT[I] != 0) break; + if(I >= S){ + CT--; + continue; + } + VP[I] = 1; + MI = -red(V[I]/VT[I]); + if(MI != 0) + V = radd(V,rmul(MI,VT)); + } + if(Opt==1){ + for(I = 0; I < S; I++) + if(V[I] != 0) + return 1; + return 0; + } + if(Opt==2){ + W=newvect(S-CT); + for(CC = I = 0; I < S; I++){ + if(VP[I]==0) W[CC++] =V[I]; + } + return W; + } + return V; +} + +def mmod(M,L) +{ + S=size(M)[1]; + MM=mtranspose(M); + VP = newvect(S); + if(type(L)==6) + L=m2lv(L); + for(CT = 0, LT = L; LT != []; LT = cdr(LT)){ + for(VT = car(LT), I = 0; I < S; I++){ + if(VT[I] != 0){ + VP[I] = 1; + break; + } + } + } + if(getopt(opt)==1) + NE=1; + for(D=I=0; I<S; I++){ + if(NE != 1 && VP[I] == 1) continue; + T = mymod(MM[I],L|opt=2); + if(D==0){ + K=length(T); + MN=newmat((NE==1)?S:K,K); + } + for(J=0;J<K;J++) + MN[J][D]=T[J]; + D++; + } + return MN; +} + +def llsize(V) +{ + for(I=J=0;V!=[];V=cdr(V),I++) + if(length(car(V))>J) J=length(car(V)); + return [I,J]; +} + +def llbase(VV,L) +{ + S = length(VV); + V = dupmat(VV); + if(type(V) == 4) + V = ltov(V); + T = length(L); + for(I = 0; I < S; I++) + V[I] = nm(red(V[I])); + LV = 0; + for(J = 0; J < T; J++){ + X = var(L[J]); N = deg(L[J],X); + for(I = LV; I < S; I++){ + if((C2=coef(V[I],N,X)) != 0){ + if(I > LV){ + Temp = V[I]; + V[I] = V[LV]; + V[LV] = Temp; + } + for(I = 0; I < S; I++){ + if(I == LV || (C1 = coef(V[I],N,X)) == 0) + continue; + Gcd = gcd(C1,C2); + V[I] = V[I]*tdiv(C2,Gcd)-V[LV]*tdiv(C1,Gcd); + } + LV++; + } + } + } + return V; +} + +def lsort(L1,L2,T) +{ + C1=getopt(c1);C2=getopt(c2); + if(type(T)==4){ + K=T; + if(length(T)>0){ + T=K[0]; + K=cdr(K); + }else T=0; + }else K=0; + if(type(TT=T)==7) + T = findin(T,["cup","setminus","cap","reduce","sum","subst"]); + if(type(L2)==7&&T<0) + T=findin(TT,["put","get","sub"]); + if(K){ /* [[..],..] */ + if(K!=[]) KN=K[0]; + if(L2==[]||L2=="sort"){ /* sort or deduce duplication */ + if((T!=0&&T!=3)||length(K)!=1) return L1; + if(KN<0){ + KN=-KN-1; + F=-1; + }else F=1; + L1=msort(L1,[F,0,KN]); + if(T==3){ + R=[car(L1)];L1=cdr(L1); + for(;L1!=[];L1=cdr(L1)){ + if(car(L1)[KN]!=car(R)[KN]) R=cons(car(L1),R); + } + L1=reverse(R); + } + return L1; + }else if((L2==0||L2=="col")&&type(C1)==4){ + if(T==0||T==1){ /* extract or delete columns */ + for(R=[];L1!=[];L1=cdr(L1)){ + if(T==1&&C1==[0]){ /* delete top column */ + R=cons(cdr(car(L1)),R); + continue; + } + LT=car(L1);RT=[]; + if(T==0){ + for(CT=C1;CT!=[];CT=cdr(CT)) RT=cons(LT[car(CT)],RT); + }else{ + for(I=0;LT!=[];I++,LT=cdr(LT)) + if(findin(I,C1)<0) RT=cons(car(LT),RT); + RT=reverse(RT); + } + R=cons(RT,R); + } + return reverse(R); + } + }else if(type(L2)==1||type(L2)==7){ + if(L2==1||L2=="num"){ + if(T==4) T=3; + I=(length(K)<2)?(-1):K[1]; + if(T==0||T==1||T==2||T==3){ + S=F=CT=0;R=[]; + if(K==[] || type((S=K[0]))==1 || S==0){ + if(T==0||T==1||T==2){ + for(J;L1!=[];L1=cdr(L1),J++){ + if(T==0) R=cons(cons(J+S,car(L1)),R); + else if(T==1){ + for( ;C1!=[]; C1=cdr(C1)) + R=cons(L1[car(C1)],R); + }else{ + if(findin(J,C1)<0) R=cons(car(L1),R); + } + } + return reverse(R); + }else if(T==3) return length(L1); + }else{ + if(type(S)==2&&vtype(S)>2) F=1; + else if(type(S)==4) F=2; + else if(S=="+") F=3; + else return L1; + } + for(R=[];L1!=[];L1=cdr(L1)){ + L1T=car(L1); + if(F==1) V=call(S,(I<0)?L1T:L1T[I]); + else if(F==2) V=calc((I<0)?L1T:L1T[I],S); + else if(F==3){ + for(C=C1,V=0;C!=[];C=cdr(C)) + if(type(X=L1T[car(C)])==1) V+=X; + } + if(T==0) R=cons(cons(V,L1T),R); + else if(T==1){ + if(V) R=cons(L1T,R); + }else if(T==2){ + if(!V) R=cons(L1T,R); + }else if(T==3){ + if(F==3) CT+=V; + else if(V) CT++; + } + } + return (T==3)?CT:reverse(R); + }else if(TT=="col"){ + J=(length(K)>0)?car(K):0; + I=length(car(L1))+J; + for(V=[];I>J;) + V=cons(--I,V); + return cons(V,L1); + } + }else if(L2=="transpose") return mtranspose(L1); + else if(L2=="subst"||L2=="adjust"){ + Null=(!K)?"":car(K); + if(L2=="adjust") C1=[]; + R=lv2m(L1|null=""); + for(;C1!=[];C1=cdr(C1)) R[car(C1)[0]][car(C1)[1]]=car(C1)[2]; + return m2ll(R); + } + return L1; + }else{ /* [[..],..], [[..],..] */ + if(type(L2[0])<4){ + for(R=[];L2!=[];L2=cdr(L2)) R=cons([car(L2)],R); + L2=reverse(R); + } + if(TT=="sum") T=3; + if(TT=="over") T=4; + if(findin(T,[0,1,2,3,4,5])<0) return L1; + if(T==4||T==5){ + if(type(C1)<2) C1=[C1]; + if(type(C2)<2) C2=[C2]; + } + if(type(car(L2))!=4){ + for(R=[];L2!=[];L2=cdr(L2)) R=cons([car(L2)],R); + R=reverse(R); + if(length(K)==1) K=[K[0],0]; + C2=0; + } + L1=lsort(L1,"num",["put",0]); /* insert number */ + K0=(length(K)>0)?K[0]+1:1; + K1=(length(K)>1)?K1=K[1]:0; + L1=lsort(L1,"sort",[0,K0]); + if(T<4&&type(C2)==4&&length(L2[0])>1){ + L2=lsort(L2,"col",["put"]|c1=cons(K1,C2)); /* add key and extract columns */ + C2=0;K1=0; + } + L2=lsort(L2,"sort",[0,K1]); + for(R0=[],S=S1=length(L1[0]);S>0;S--) R0=cons("",R0); + for(R1=[],S=length(L2[0]);S>0;S--) R1=cons("",R1); + if(!K1&&T!=3) R1=cdr(R1); + for(R=[];L1!=[];L1=cdr(L1)){ + while(L2!=[]&&car(L1)[K0]>car(L2)[K1]){ + if(T==3) R=cons(append(R0,car(L2)),R); + L2=cdr(L2); + } + if(L2==[]||car(L1)[K0]<car(L2)[K1]){ + if(T!=2) R=cons((T==1||T>3||R1==[])?car(L1):append(car(L1),R1),R); + }else if(T==0||T==2||T==3){ + if(R0==[]) R=append(car(L1),R); + else R=cons(append(car(L1),(!K1&&T!=3)?cdr(car(L2)):car(L2)),R); + L2=cdr(L2); + }else if(T==4||T==5){ + V1=ltov(car(L1));V2=ltov(car(L2)); + for(D1=C1,D2=C2;D1!=[];D1=cdr(D1),D2=cdr(D2)) + if((I=V2[car(D2)])!=""||T==4) V1[car(D1)+1]=I; + R=cons(vtol(V1),R); + } + } + if(T==3){ + while(L2!=[]){ + R=cons(append(R0,car(L2)),R); + L2=cdr(L2); + } + } + R=lsort(R,"sort",["put",0]); /* original order */ + D=(((T==0||T==2)&&!K1)||T==3)?[0]:[0,S1+K1]; + R=lsort(R,0,[1]|c1=D); /* delete */ + if(type(C1)!=4||T==1||T==4||T==5) return R; + C=[];S0=size(L1[0]); + for(;C1!=[];C1=cdr(C1)) C=cons(car(C1),C); + for(I=0;I<S0-S1;I++) C=cons(I+S1,C); + C=reverse(C); + return lsort(R,"col",[1]|c1=C); + } + } + if(L2 == []){ /* [...] */ + if(T==8||TT=="count") return [length(L1),length(lsort(L1,[],1))]; + if(T==7||TT=="cut"){ + K=length(L1); + if(C1<0) C1=K+C1; + for(R=[],I=0;I<C1&&L1!=[];I++,L1=cdr(L1)) + R=cons(car(L1),R); + for(S=[];L1!=[];L1=cdr(L1)) + S=cons(car(L1),S); + return [reverse(R),reverse(S)]; + } + if(T==2) return L2; + if(T==3) return [L1,L2]; + L1 = ltov(L1); qsort(L1); + if(T != 1) + return vtol(L1); + L3 = []; + for(I = length(L1)-1; I >= 0; I--){ + if(I > 0 && L1[I] == L1[I-1]) + continue; + L3 = cons(L1[I], L3); + } + return L3; + } + if(T==8||TT=="count"){ + K=length(lsort(L1,L2,3)[0]); + R=[length(L2),length(L1)]; + L1 = lsort(L1,[],1); + L2 = lsort(L2,[],1); + R=append([length(L2),length(L1)],R); + R=cons(length(lsort(L1,L2,2)),R); + return reverse(cons(K,R)); + } + if((T==9||TT=="cons")&&type(car(L1))==4){ + if(type(L2)!=4) L2=[L2]; + for(R=[];L1!=[];L1=cdr(L1)){ + R=cons(cons(car(L2),car(L1)),R); + if(length(L2)>1) L2=cdr(L2); + } + return reverse(R); + } + if(T==10||TT=="cmp"){ + if(length(L1)!=length(L2)){ + mycat("Different length!"); + return 1; + } + R=[]; + if(type(car(L1))==4){ + for(U=[],I=0;L1!=[];I++,L1=cdr(L1),L2=cdr(L2)){ + if(length(S=car(L1))!=length(T=car(L2))){ + mycat(["Different size : line ",I]); + return 0; + } + for(J=0;S!=[];S=cdr(S),T=cdr(T),J++) + if(car(S)!=car(T)) U=cons([[I,J],car(S),car(T)],U); + } + if(U!=[]) R=cons(reverse(U),R); + }else{ + for(I=0;L1!=[];L1=cdr(L1),L2=cdr(L2),I++) + if(car(L1)!=car(L2)) R=cons([I,car(L1),car(L2)],R); + } + return reverse(R); + } + if(T==11||TT=="append"){ + if(type(car(L1))!=4) return append(L1,L2); + for(R=[];L1!=[];L1=cdr(L1),L2=cdr(L2)) + R=cons(append(car(L1),car(L2)),R); + return reverse(R); + } + if(T == 1 || T == 2){ + L1 = lsort(L1,[],1); + L2 = lsort(L2,[],1); + L3 = []; + if(T == 1){ + while(L1 != []){ + if(L2 == [] || car(L1) < car(L2)){ + L3 = cons(car(L1), L3); + L1 = cdr(L1); + continue; + } + if(car(L1) > car(L2)){ + L2 = cdr(L2); + continue; + } + L1 = cdr(L1); L2 = cdr(L2); + } + return reverse(L3); + } + if(T==2){ + while(L1 != [] && L2 != []){ + if(car(L1) != car(L2)){ + if(car(L1) <= car(L2)) + L1 = cdr(L1); + else L2 = cdr(L2); + continue; + } + while(car(L1) == car(L2)) + L1 = cdr(L1); + L3 = cons(car(L2), L3); + } + return reverse(L3); + } + } + if(T==3){ + L1 = qsort(L1); L2 = qsort(L2); + L3 = L4 = []; + while(L1 != [] && L2 != []){ + if(car(L1) == car(L2)){ + L1 = cdr(L1); L2 = cdr(L2); + }else if(car(L1) < car(L2)){ + L3 = cons(car(L1),L3); + L1 = cdr(L1); + }else{ + L4 = cons(car(L2), L4); + L2 = cdr(L2); + } + } + L4 = append(reverse(L4),L2); + L3 = append(reverse(L3),L1); + return [L3,L4]; + } + L1 = append(L1,L2); + return lsort(L1,[],1); +} + +def mqsub(X,Y) +{ + for(L=LQS;L!=[];L=cdr(L)){ + F=(T=car(L))[0];M=(T=cdr(T))[0]; + X0=X;Y0=Y; + for(T=cdr(T);T!=[];T=cdr(T)){ + X0=X0[car(T)];Y0=Y0[car(T)]; + } + if(type(M)==1){ + if(M==3){ + X0=type(X0);Y0=type(Y0); + }else if(M==4&&type(X0)<2&&type(Y0)<2){ + X0=abs(X0);Y0=abs(Y0); + }else if(M==5){ + X0=str_len(rtostr(X0));Y0=str_len(rtostr(Y0)); + }else if(type(X0)==type(Y0)&&type(X0)>3&&type(X0)<7){ + if(M==1){ + X0=length(X0);Y0=length(Y0); + }else if(M==2){ + LX=length(X0);LY=length(Y0); + L0=(LX<LY)?LX:LY; + for(I=0;;I++){ + if(I==L0){ + X0=LX;Y0=LY;break; + } + if(X0[I]==Y0[I]) continue; + X0=X0[I];Y0=Y0[I];break; + } + } + } + }else if(type(M)==2){ + X0=(*M)(X0,Y0);Y0=0; + }else if(type(M)==4&&length(M)==1){ + X0=(*car(M))(X0);Y0=(*car(M))(Y0); + } + if(X0==Y0) continue; + return (X0<Y0)?-F:F; + } + return 0; +} + +def msort(L,S) +{ + if(type(S)!=4) return qsort(L); + if(type(S[0])!=4) S=[S]; + LQS=S; + return qsort(L,os_md.mqsub); +} + +def lmax(L) +{ + if(type(L)==4){ + V=car(L); + while((L=cdr(L))!=[]) + if(V < car(L)) V=car(L); + return V; + }else if(type(L)==5||type(L)==6) + return lmax(m2l(L)); + return []; +} + +def lmin(L) +{ + if(type(L)==4){ + V=car(L); + while((L=cdr(L))!=[]) + if(V > car(L)) V=car(L); + return V; + }else if(type(L)==5||type(L)==6) + return lmin(m2l(L)); + return []; +} + +def lgcd(L) +{ + if(type(L)==4){ + F=getopt(poly); + V=car(L); + while((L=cdr(L))!=[]&&V!=1){ + if(V!=0) + V=(F==1)?gcd(V,car(L)):igcd(V,car(L)); + } + return V; + }else if(type(L)==5||type(L)==6) + return lgcd(m2l(L)|option_list=getopt()); + return []; +} + +def llcm(L) +{ + if(type(L)==4){ + F=getopt(poly); + V=car(L); + while((L=cdr(L))!=[]){ + if(V!=0){ + if((V0=car(L))!=0) + V=(F==1)?red(V*V0/gcd(V,V0)):ilcm(V,V0); + } + else V=car(L); + } + if(F!=1&&V<0) V=-V; + return V; + } + else if(type(L)==5||type(L)==6) + return llcm(m2l(L)|option_list=getopt()); + return []; +} + +def ldev(L,S) +{ + M=abs(lmax(L));N=abs(lmin(L)); + if(M<N) M=N; + for(C=0,LT=L;;C++){ + LT=ladd(LT,S,1); + MT=abs(lmax(LT));NT=abs(lmin(LT)); + if(MT<NT) MT=NT; + if(MT>=M) break; + M=MT; + } + if(!C){ + for(C=0,LT=L;;C--){ + LT=ladd(LT,S,-1); + MT=abs(lmax(LT));NT=abs(lmin(LT)); + if(MT<NT) MT=NT; + if(MT>=M) break; + M=MT; + } + } + return [C,ladd(L,S,C)]; +} + +def lchange(L,P,V) +{ + if(getopt(flat)==1&&type(P)==4){ + for(L=ltov(L);P!=[];P=cdr(P),V=cdr(V)) + L[car(P)]=car(V); + return vtol(L); + } + if(type(P)==4){ + IP=car(P); P=cdr(P); + }else{ + IP=P; P=[]; + } + for(I=0, LL=[], LT=L; LT!=[]; I++,LT=cdr(LT)){ + if(I==IP){ + LL=cons((P==[])?V:lchange(car(LT),P,V),LL); + }else + LL=cons(car(LT),LL); + } + return reverse(LL); +} + +def lsol(VV,L) +{ + if(type(VV)<4 && type(L)==2) + return red(L-VV/mycoef(VV,1,L)); + S = length(VV); + T = length(L); + V = llbase(VV,L); + for(J = K = 0; J < T; J++){ + X = var(L[J]); N = deg(L[J],X); + for(I = K; I < S; I++){ + if((C=mycoef(V[I], N, X)) != 0){ + V[I] = [L[J],red(X^N-V[I]/C)]; + K++; + break; + } + } + } + return V; +} + +def lnsol(VV,L) +{ + LL=lsort(vars(VV),L,1); + VV=ptol(VV,LL|opt=0); + return lsol(VV,L); +} + + +def ladd(X,Y,M) +{ + if(type(X)==4) X=ltov(X); + if(type(Y)==4) Y=ltov(Y); + return vtol(X+M*Y); +} + +def mrot(X) +{ + if(type(X)==4){ + if(getopt(deg)==1) + X=[deval(@pi*X[0]/180),deval(@pi*X[1]/180),deval(@pi*X[2]/180)]; + if(getopt(conj)==1) + return mrot([-X[2],-X[1],0])*mrot([X[0],X[1],X[2]]); + if(X[1]==0){ + X=[X[0]+X[2],0,0]; + if(X[0]==0) return diagm(3,[1]); + } + if(X[0]!=0){ + M=mat([dcos(X[0]),-dsin(X[0]),0],[dsin(X[0]),dcos(X[0]),0],[0,0,1]); + if(X[1]==0) return M; + } + N=mat([dcos(X[1]),0,-dsin(X[1])],[0,1,0],[dsin(X[1]),0,dcos(X[1])]); + if(X[0]!=0) N=M*N; + if(X[2]==0) return N; + return N*mrot([X[2],0,0]); + } + if(getopt(deg)==1) X=@pi*X/180; + X=deval(X); + return mat([dcos(X),-dsin(X)],[dsin(X),dcos(X)]); +} + +def m2v(M) +{ + S = size(M); + V = newvect(S[0]*S[1]); + for(I = C = 0; I < S[0]; I++){ + MI = M[I]; + for(J = 0; J < S[1]; J++) + V[C++] = MI[J]; + } + return V; +} + +def lv2m(L) +{ + if(type(L)==5) L=vtol(L); + II=length(L); + for(J=1,T=L; T!=[]; T=cdr(T)) + if(length(car(T))>JJ) JJ=length(car(T)); + M = newmat(II,JJ); + N = getopt(null); + if(type(N)<0) N=0; + for(I=0; I<II; I++){ + V=car(L); L=cdr(L); + for(J=length(V);--J>=0;) + M[I][J] = V[J]; + if(N!=0){ + for(J=length(V); J<JJ; J++) + M[I][J]=N; + } + } + return M; +} + +def m2lv(M) +{ + I=size(M)[0]; + for(N=[],I=size(M)[0];I-->0;) + N=cons(M[I],N); + return N; +} + +def s2m(S) +{ + if(type(S)==6) return S; + if(type(S)==7){ + if(str_chr(S,0,"[")!=0) S=s2sp(S); + else if(str_chr(S,0,",")>=0) return eval_str(S); + else{ + for(L=LL=[],I=0; ; ){ + II=str_chr(S,I+2,"]"); + if(II<0) return 0; + J=str_chr(S,I+2," "); + while(str_chr(S,J+1," ")==J+1) J++; + if(J>II-2 || J<0) J=II; + V=eval_str(sub_str(S,I+1,J-1)); + L=cons(V,L); + I=J; + if(J==II){ + LL=cons(ltov(reverse(L)),LL); + L=[]; + if((I=str_chr(S,II+1,"["))<0) + return lv2m(reverse(LL)); + } + } + } + } + if(type(S)==5) S=vtol(S); + if(type(S[0])==5) return lv2m(S); + I=length(S); + for(J=1,T=S; T!=[]; T=cdr(T)) + if(length(car(T))>J) J=length(car(T)); + return newmat(I,J,S); +} + +def c2m(L,V) +{ + if(type(Pow=getopt(pow))!=1){ + if(isvar(V)==1){ + for(Pow=0,LT=L;LT!=[];LT=cdr(LT)){ + if(mydeg(car(LT),V)>JJ) Pow=mydeg(car(LT),V); + } + JJ=Pow+1; + }else{ + Pow=-1; + JJ=length(V); + } + }else JJ=Pow+1; + M=newmat(length(L),JJ); + for(I=0;L!=[];L=cdr(L),I++){ + for(J=0;J<JJ;J++){ + LT=car(L); + M[I][J]=(Pow>=0)?mycoef(LT,J,V):mycoef(LT,1,V[J]); + } + } + return M; +} + +#if 0 +def m2diag(M,N) +{ + S = size(M); + MM = mtoupper(M,N); + for(I = S[0]-1; I >= 0; I--){ + for(J = 0; I < S[1]-N; I++){ + if(MM[I][J] != 0){ + P = MM[I][J]; + for(K = 0; K < I; K++){ + Q = -rmul(MM[K][J],1/P); + MM[K][J] = 0; + if(Q != 0){ + for(L = J+1; L < S[1]; L++){ + if(MM[I][L] != 0) + MM[K][L] = radd(MM[K][L], rmul(MM[I][L],Q)); + } + } + } + } + } + } + return MM; +} +#endif + +def myinv(M) +{ + S = size(M); + if((T=S[0]) != S[1]) + return 0; + MM = mtoupper(M,-T|opt=2); + if(MM[T-1][T-1] != 1) return 0; + return mperm(MM,0,[T,[T]]); +} + +def madj(G,M) +{ + H=myinv(G); + if(type(M)==6) + return rmul(rmul(G,M),H); + if(type(M)==4||type(M)==5){ + L=length(M); + N=newvect(L); + for(I=0;I<L;I++){ + N[I]=rmul(rmul(G,M[I]),H); + } + if(type(N)==4) N=vtol(N); + return N; + } + return -1; +} + +def mpower(M,N) +{ + if(type(M)<=3) return (red(M))^N; + S = size(M); + if(S[0] != S[1]) + return 0; + if(N == 0) return mgen(S[0],0,[1],0); + if(N < 0) + return(mpower(myinv(M), -N)); + R = dupmat(M); + V=1; + for(V=1;;){ + if(iand(N,1)){ + V=map(red,R*V); + N--; + } + if((N/=2)==0) break; + R=map(red,R*R); + } + return V; +} + +def texlen(S) +{ + if(type(S)!=7) return 0; + LF=I=J=0; + LM=str_len(S); + while((I=str_str(S,"\\frac{"|top=J))>=0){ + if(I>J) LF+=texlen(str_cut(S,J,I-1)); + I+=6; + for(F=L=0,J=I;F<2 && J<LM-1;F++){ + for(C=1;C>0 && J<LM;){ + if((K0=str_char(S,J,"}"))<0) K0=LM; + if((K1=str_char(S,J,"{"))<0) K1=LM; + if(K0<0 && K1<0){ + J = str_len(S)-1; + break; + } + if(K0<K1){ + J=K0+1; C--; + }else{ + J=K1+1; C++; + } + } + T=str_cut(S,I,J-1); + if(F==0){ + I=J=K1+1;C=1; + }else J=K0+1; + if(type(T)==7 && (LL=texlen(T))>L) L=LL; + } + LF+=L; + } + if(J>0) S=str_cut(S,J,str_len(S)-1); + if(S==0) return LF; + S=ltov(strtoascii(S)); + L=LL=length(S); + for(I=F=0; I<L; I++){ + if(S[I]==92) F=1; + else if(F==1){ + if((S[I]>96 && S[I]<123)||(S[I]>64 && S[I]<91)) LL--; + else F=0; + } + if(S[I]<=32||S[I]==123||S[I]==125||S[I]==94||S[I]==38) LL--; /* {}^& */ + else if(S[I]==95){ + LL--; + if(I+2<L && S[I+2]==94) LL--; /* x_2^3 */ + else if(I+6<L && S[I+1]==123 && S[I+4]==125){ /* x_{11}^2 */ + if(S[I+5]==94 || (S[I+5]==125 && S[I+6]==94)) LL-- ; /* x_{11}}^2 */ + } + } + } + return LL+LF; +} + +def isdif(P) +{ + if(type(P)<1 || type(P)>3) return 0; + for(Var=[],R=vars(P);R!=[];R=cdr(R)){ + V0=rtostr(car(R)); + if(V0>"d" && V0<"e"){ + V=sub_str(V0,1,str_len(V0)-1); + if(V>="a" && V<"{") Var=cons([strtov(V),strtov(V0)],Var); + } + } + if(Var==[]) return 0; + for(V=Var; V!=[]; V=cdr(V)) + if(ptype(P,car(V)[1])==3) return 0; + return Var; +} + +def texsp(P) +{ + Q=strtoascii(P); + if((J=str_char(Q,0,92))<0 || (C=Q[L=str_len(P)-1])==32||C==41||C==125) + return P; + for(;;){ + if((I=str_char(Q,J+1,92))<0) break; + J=I; + }; + for(I=J+1;I<L&&isalpha(Q[I]);I++); + return(I==L)?P+" ":P; +} + +def fctrtos(P) +{ + /* extern TeXLim; */ + + if(!chkfun("write_to_tb", "names.rr")) + return 0; + + TeX = getopt(TeX); + if(TeX != 1 && TeX != 2 && TeX != 3) + TeX = 0; + if((Dvi=getopt(dviout)==1) && TeX<2) TeX=3; + if(TeX>0){ + Lim=getopt(lim); + if(Lim!=0 && TeX>1 && (type(Lim)!=1||Lim<30)) Lim=TeXLim; + else if(type(Lim)!=1) Lim=0; + CR=(TeX==2)?"\\\\\n":"\\\\\n&"; + if(TeX==1 || Lim==0) CR=""; + else if((Pages=getopt(pages))==1) CR="\\allowdisplaybreaks"+CR; + if(!chkfun("print_tex_form", "names.rr")) + return 0; + Small=getopt(small); + } + Dif=getopt(dif); + Var=getopt(var); + if(Lim>0 && type(Var)<2 && TeX!=1) Var=[strtov("0"),""]; + Dif=0; + if(Var=="dif"){ + Dif=DV=1; + }else if (Var=="dif0") Dif=1; + else if(Var=="dif1") Dif=2; + else if(Var=="dif2") Dif=3; + if(Dif>0){ + for(Var=[],R=vars(P);R!=[];R=cdr(R)){ + V=rtostr(car(R)); + if(V>"d" && V<"e"){ + V=sub_str(V,1,str_len(V)-1); + if(V>="a" && V<"{"){ + if(TeX>0){ + V=my_tex_form(strtov(V)); + if(Dif>=1){ + if(Dif==1){ + if(str_len(V)==1) V="\\partial_"+V; + else V="\\partial_{"+V+"}"; + } + Var=cons([car(R),V],Var); + } + else Var=cons([car(R)],Var); + }else Var=cons([car(R)],Var); + } + } + } + if(TeX>0){ + if(length(Var)==1){ + if(DV==1 && str_len(Var[0][1])==10) Var=[[Var[0][0],"\\partial"]]; + }else if(DV==1){ + for(V=Var;V!=[];V=cdr(V)){ + VV=rtostr(car(V)[0]); + if(VV<"dx0" || VV>= "dx:" || str_len(VV)>4) break; + } + if(V==[]){ + for(VT=[],V=Var;V!=[];V=cdr(V)){ + VV=str_cut(rtostr(car(V)[0]),2,3); + if(str_len(VV)==1) VT=cons([car(V)[0],"\\partial_"+VV],VT); + else VT=cons([car(V)[0],"\\partial_{"+VV+"}"],VT); + } + Var=reverse(VT); + } + }else + if(Dif==2 && length(Var)>1) Dif=3; + } + if(Dif>0) Dif--; + } + if(type(Var)>1 && Var!=[]){ /* as a polynomial of Var */ + Add=getopt(add); + if(type(Add)>0){ + if(type(Add)!=7){ + Add=my_tex_form(Add); + if(str_char(Add,0,"-")>=0 || str_char(Add,0,"+")>=0) Add="("+Add+")"; + } + if(str_char(Add,0,"(")!=0) Add = " "+Add; + }else Add=0; + if(type(Var)!=4) Var=[Var]; + if(length(Var)==2 && type(Var[1]) == 7) + Var = [Var]; + for(VV=VD=[]; Var!=[];Var=cdr(Var)){ + VT=(type(car(Var))==4)?car(Var):[car(Var)]; + VT0=var(car(VT)); + VV=cons(VT0,VV); + if(length(VT)==1){ + VD=cons((TeX>=1)?my_tex_form(VT0):rtostr(VT0),VD); + }else VD=cons(VT[1],VD); + } + VV=reverse(VV);VD=reverse(VD); + Rev=(getopt(rev)==1)?1:0; + Dic=(getopt(dic)==1)?1:0; + TT=terms(P,VV|rev=Rev,dic=Dic); + if(TeX==0){ + Pre="("; Post=")"; + }else{ + Pre="{"; Post="}"; + } + Out = string_to_tb(""); + for(L=C=0,Tm=TT;Tm!=[];C++,Tm=cdr(Tm)){ + for(I=0,PC=P,T=cdr(car(Tm)),PW="";T!=[];T=cdr(T),I++){ + PC=mycoef(PC,D=car(T),VV[I]); + if(PC==0) continue; + PT=""; + if(D!=0 && VD[I]!=""){ + if(TeX==0 && PW!="") PW+="*"; + if(D>1){ + if(D>9) PT="^"+Pre+rtostr(D)+Post; + else PT="^"+rtostr(D); + } + if(Dif>0) PW+=(Dif==1)?"d":"\\partial "; + PW+=VD[I]+PT; + } + } + D=car(Tm)[0]; + if(Dif>0 && D>0){ + Op=(Dif==1)?"\\frac{d":"\\frac{\\partial"; + if(D>1) Op+="^"+((D>9)?(Pre+rtostr(D)+Post):rtostr(D)); + PW=Op+Add+"}{"+PW+"}"; + }else if(Add!=0) PW=PW+Add; + if(TeX>=1){ + if(type(PC)==1 && ntype(PC)==0 && PC<0) + OC="-"+my_tex_form(-PC); + else OC=fctrtos(PC|TeX=1,br=1); + }else OC=fctrtos(PC|br=1); + if(PW!=""){ + if(OC == "1") OC = ""; + else if(OC == "-1") OC = "-"; + } + if(TeX==0 && D!=0 && OC!="" && OC!="-") PW= "*"+PW; + if((TOC=type(OC)) == 4){ /* rational coef. */ + if(Lim>0 && (texlen(OC[0])>Lim || texlen(OC[0])>Lim)){ + OC = (Small==1)?"("+OC[0]+")/("+OC[1]+")" + :"\\Bigl("+OC[0]+"\\Bigr)\\Bigm/\\Bigl("+OC[1]+"\\Bigr)"; + TOC = 7; + }else{ + if(str_char(OC[0],0,"-")==0){ + OC = fctrtos(-PC|TeX=1,br=1); + OC = "-\\frac{"+OC[0]+"}{"+OC[1]+"}"; + } + else + OC = "\\frac{"+OC[0]+"}{"+OC[1]+"}"; + } + } + if(Lim>0){ + LL=texlen(OC)+texlen(PW); + if(LL+L>=Lim){ + if(L>0) str_tb(CR,Out); + if(LL>Lim){ + if(TOC==7) OC=texlim(OC,Lim|cut=CR); + PW+=CR; L=0; + }else L=LL; + }else L+=LL; + }else if(length(Tm)!=1) PW += CR; /* not final term */ + if(TeX) OC=texsp(OC); + if(str_chr(OC,0,"-") == 0 || C==0) str_tb([OC,PW], Out); + else{ + str_tb(["+",OC,PW],Out); + if(LL<=Lim) L++; + } + } + S=str_tb(0,Out); + if(S=="") S="0"; + }else{ /* Var is not specified */ + if((TP=type(P)) == 3){ /* rational function */ + P = red(P); Nm=nm(P); Dn=dn(P); + Q=dn(ptozp(Nm|factor=1)[1]); + if(Q>1){ + Nm*=Q;Dn*=Q; + } + if(TeX>0){ + return (TeX==2)? + "\\frac\{"+fctrtos(Nm|TeX=1)+"\}\{"+fctrtos(Dn|TeX=1)+"\}" + :[fctrtos(Nm|TeX=1),fctrtos(Dn|TeX=1)]; + } + else{ + S=fctrtos(Nm); + if(nmono(Nm)>1) S="("+S+")"; + return S+"/("+fctrtos(Dn)+")"; + } + } + if(imag(P)==0) P = fctr(P); /* usual polynomial */ + else P=[[P,1]]; + S = str_tb(0,0); + for(J = N = 0; J < length(P); J++){ + if(type(P[J][0]) <= 1){ + if(P[J][0] == -1){ + write_to_tb("-",S); + if(length(P) == 1) + str_tb("1", S); + }else if(P[J][0] != 1){ + str_tb((TeX>=1)?my_tex_form(P[J][0]):rtostr(P[J][0]), S); + N++; + }else if(length(P) == 1) + str_tb("1", S); + else if(getopt(br)!=1 && length(P) == 2 && P[1][1] == 1){ + str_tb((TeX>=1)?my_tex_form(P[1][0]):rtostr(P[1][0]), S); + J++; + } + continue; + } + if(N > 0 && TeX != 1 && TeX != 2 && TeX != 3) + write_to_tb("*", S); + SS=(TeX>=1)?my_tex_form(P[J][0]):rtostr(P[J][0]); + N++; + if(P[J][1] != 1){ /* (log(x))^2 */ + if(nmono(P[J][0])>1|| + (!isvar(P[J][0])||vtype(P[J][0]))&&str_len(SS)>1) SS="("+SS+")"; + write_to_tb(SS,S); + str_tb(["^", (TeX>1)?rtotex(P[J][1]):monotos(P[J][1])],S); + }else{ + if(nmono(P[J][0])>1) SS="("+SS+")"; + write_to_tb(SS,S); + } + } + S = str_tb(0,S); + if((Lim>0 || TP!=2) && CR!="") S=texlim(S,Lim|cut=CR); + } + if(TeX>0){ + if(Small==1) S=str_subst(S,"\\frac{","\\tfrac{"); + if(Dvi==1){ + dviout(strip(S,"(",")")|eq=(Pages==1)?6:0); S=1; + } + } + return S; +} + +def strip(S,S0,S1) +{ + SS=strtoascii(S); + if(length(SS)>1){ + if(SS[0]==40&&SS[length(SS)-1]==41&&str_pair(SS,1,S0,S1)==length(SS)-1) + S=str_cut(SS,1,length(SS)-2); + } + return S; +} + +def texlim(S,Lim) +{ + /* extern TeXLim; */ + if(S==1 && Lim>10){ + TeXLim=Lim; + mycat(["Set TeXLim =",Lim]); + return 1; + } + if(type(Out=getopt(cut))!=7) Out="\\\\\n&"; + if(type(Del=getopt(del))!=7) Del=Out; + if(Lim<30) Lim=TeXLim; + S=ltov(strtoascii(S)); + for(L=[0],I=F=0;F==0; ){ + II=str_str(S,Del|top=I)+2; + if(II<2){ + F++;II=/* str_len(S) */ length(S)-1; + } + for(J=JJ=I+1;;JJ=K+1){ + K=str_char(S,JJ,43); /* + */ + if((K1=str_char(S,JJ,45))>2 && K1<K){ /* - */ + if(S[K1-1]!=123 && S[K1-1]!=40) K=K1; /* {, ( */ + } + if((K1=str_char(S,JJ,40))>0 && K1-JJ>6 && K1<K && S[K1-1]!=43 && S[K1-1]!=45){ /* ( */ + T=str_char(S,K1-6,"\\"); /* \Big*(, \big*( */ + if((T==K1-6 || T==K1-5) + && (str_str(S,"big"|top=T+1,end=T+1)>0 || str_str(S,"Big"|top=T+1,end=T+1)>0)) + K=T; + else if(K1>0 && K1<K) K=K1; + } + if(K<0 || K>II) break; + if(K-J>Lim && texlen(str_cut(S,J,K-1))>=Lim){ + J=K+1; L=cons(JJ-1,L); SL=0; + } + } + I=II; + } + SS=str_tb(0,0); + L=cons(length(S),L); + L=reverse(L); + for(I=0; L!=[]; I=J,L=cdr(L)){ + str_tb((I==0)?"":Out,SS); + J=car(L); + str_tb(str_cut(S,I,J-1),SS); + } + return str_tb(0,SS); +} + +def fmult(FN,M,L,N) +{ + Opt=getopt(); + for(I = 0; I < length(M); I++) + M = call(FN, cons(M,cons(L[I],N))|option_list=Opt); + return M; +} + +def radd(P,Q) +{ + if(type(P) <= 3 || type(Q) <= 3){ + if(type(P) >= 5) + return radd(Q,P); + if(type(Q) >= 5){ + R = dupmat(Q); + if(P == 0) + return R; + if(type(Q) == 6){ + S = size(Q); + if(S[0] != S[1]) + return 0; + for(I = 0; I < S[0]; I++) + R[I][I] = radd(R[I][I], P); + }else{ + for(I = length(R)-1; I >= 0; I--) + R[I] = radd(R[I],P); + } + return R; + } + /* P=red(P);Q=red(Q); */ + if((P1=dn(P)) == (Q1=dn(Q))){ + if(P1==1) return P+Q; + return red((nm(P)+nm(Q))/P1); + } + R=gcd(P1,Q1);S=tdiv(P1,R); + return red((nm(P)*tdiv(Q1,R)+nm(Q)*S)/(S*Q1)); + } + if(type(P) == 5){ + S = length(P); + R = newvect(S); + for(I = 0; I < S; I++) + R[I] = radd(P[I],Q[I]); + return R; + } + if(type(P) == 6){ + S = size(P); + R = newmat(S[0],S[1]); + for(I = 0; I < S[0]; I++){ + for(J = 0; J < S[1]; J++) + R[I][J] = radd(P[I][J],Q[I][J]); + } + return R; + } + erno(0); +} + +def getel(M,I) +{ + if(type(M) >= 4 && type(M) <= 6 && type(I) <= 1) + return M[I]; + if(type(M) == 6 && type(I) == 5) + return M[I][J]; + return M; +} + +def ptol(P,X) +{ + F=(getopt(opt)==0)?0:1; + if(type(P) <= 3) + P = [P]; + if(type(X) == 4){ + for( ; X != []; X = cdr(X)) + P=ptol(P,car(X)|opt=F); + return P; + } + P = reverse(P); + for(R=[]; P != []; P = cdr(P)){ + Q = car(P); + for(I = mydeg(Q,X); I >= 0; I--){ + S=mycoef(Q,I,X); + if(F==1 || S!=0) R = cons(S,R); + } + } + return R; +} + +def rmul(P,Q) +{ + if(type(P) <= 3 && type(Q) <= 3){ + P=red(P);Q=red(Q); + P1=dn(P);P2=nm(P);Q1=dn(Q);Q2=nm(Q); + if(P1==1 && Q1==1) + return P*Q; + if((R=gcd(P1,Q2)) != 1){ + P1=tdiv(P1,R);Q2=tdiv(Q2,R); + } + if((R=gcd(Q1,P2)) != 1){ + Q1=tdiv(Q1,R);P2=tdiv(P2,R); + } + return P2*Q2/(P1*Q1); + } +#ifdef USEMODULE + return mmulbys(os_md.rmul,P,Q,[]); +#else + return mmulbys(rmul,P,Q,[]); +#endif +} + +def mtransbys(FN,F,LL) +{ + Opt=getopt(); + if(type(F) == 4){ + F = ltov(F); + S = length(F); + R = newvect(S); + for(I = 0; I < S; I++) + R[I] = mtransbys(FN,F[I],LL|option_list=Opt); + return vtol(R); + } + if(type(F) == 5){ + S = length(F); + R = newvect(S); + for(I = 0; I < S; I++) + R[I] = mtransbys(FN,F[I],LL|option_list=Opt); + return R; + } + if(type(F) == 6){ + S = size(F); + R = newmat(S[0],S[1]); + for(I = 0; I < S[0]; I++){ + for(J = 0; J < S[1]; J++) + R[I][J] = mtransbys(FN,F[I][J],LL|option_list=Opt); + } + return R; + } + if(type(F) == 7) return F; + return call(FN, cons(F,LL)|option_list=Opt); +} + +def drawopt(S,T) +{ + if(type(S)!=7) return -1; + if(T==0||T==1){ + for(I=0,R=LCOPT;I<7;I++,R=cdr(R)) + if(str_str(S,car(R))>=0) return(T==0)?COLOPT[I]:car(R); + return -1; + } + if(T==2){ + V0=V1=0; + for(I=0,R=LPOPT;R!=[];I++,R=cdr(R)){ + if(str_str(S,car(R))>=0){ + if(I==0) V1++; + else if(I==1) V1--; + else if(I==2) V0--; + else V0++; + } + } + if(V0==0&&V1==0) return -1; + return [V0,V1]; + } + if(T==3){ + V=0; + for(I=1,R=LFOPT;R!=[];R=cdr(R),I*=2){ + if(str_str(S,car(R))>=0) V+=I; + } + return (V==0)?-1:V; + } + return -1; +} + +def execdraw(L,P) +{ + if((Proc=getopt(proc))!=1) Proc=0; + if(type(P)<2) P=[P]; + if(L!=[]&&type(L[0])!=4) L=[L]; + /* special command */ + if(P[0]<0){ + if(length(P)==1&&(P[0]==-1||P[0]==-2||P[0]==-3)){ /* Bounding Box */ + W=WS=N=LS=0; + for(LL=L;LL!=[];LL=cdr(LL)){ + T=car(LL); + if(P[0]!=-3 && T[0]==0){ + if(length(T)>3) S=" by "+rtostr(T[3])+" cm"; + else S=""; + if(P[0]==-1){ + mycat(["Windows : ",T[1][0],"< x <",T[1][1],", ", + T[2][0],"< y <",T[2][1],S]); + if(length(T)>4 && type(T[4])==4) mycat(["ext :",T[4]]); + if(length(T)>5) mycat(["shift :",T[5]]); + } + return cdr(T); + } + if(type(T[0])==1){ + if(T[0]==1){ + for(TT=cdr(cdr(T));TT!=[];TT=cdr(TT)){ + D=car(TT); + if(type(D[0][0])==4){ + for(DT=D;DT!=[];DT=cdr(DT)){ + if(N++==0) W=ptbbox(car(DT)); + else W=ptbbox(car(DT)|box=W); + } + }else{ + if(N++==0) W=ptbbox(D); + else W=ptbbox(D|box=W); + } + } + }else if(T[0]==2){ + V=T[2]; + if(type(V[0])>1||type(V[1])>1) continue; /* not supported */ + if((Sc=delopt(T[1],"scale"|inv=1))!=[]){ + Sc=car(Sc)[1]; + if(type(Sc)==1) V=[Sc*V[0],Sc*V[1]]; + else V=[Sc[0]*V[0],Sc[1]*V[1]]; + } + if(LS==0) WS=ptbbox([V]); + else WS=ptbbox([V]|box=WS); + if(length(T)>4) S=T[4]; + else if(type(S=T[3])==4){ + S=S[0]; + if(type(S)==4) S=S[length(S)-1]; + S=rtostr(S); + } + if(str_len(S)>LS) LS=str_len(S); + }else if(T[0]==3||T[0]==4){ + if(N++==0) W=ptbbox(cdr(cdr(T))); + else W=ptbbox(cdr(cdr(T))|box=W); + } + } + } + if(W!=0&&WS!=0) W=ptbbox([W,WS]|box=1); + return (P[0]==-3)?[W,LS,WS]:W; + }else if(length(P)>1&&P[0]==-1){ /* set Bounding Box */ + P=cons(0,cdr(P)); + Ex=Sft=[0,0]; + if(type(X=getopt(ext))==4) Ex=X; + if(type(X=getopt(shift))==4) Sft=X; + if(Ex!=Sft||Ex!=[0,0]){ + if(Sft==[0,0]) Sft=[Ex]; + else Sft=[Ex,Sft]; + if(length(P)==3) Sft=cons(1,Sft); + if(length(P)==3||length(P)==4) P=append(P,Sft); + } + return cons(P,delopt(L,0)); + } + if(P[0]==-4){ + for(N=0,LT=L;LT!=[];LT=cdr(LT)){ /* count coord. */ + T=car(LT); + if(T[0]==1){ + for(T=cdr(cdr(T));T!=[];T=cdr(T)){ + if(type((S=car(T))[0][0])==4) N+=length(S); + else for(;S!=[];S=cdr(S)) if(type(car(S))==4) N++; + } + }else if(T[0]==2) N++; + else if(T[0]==3||T[0]==4) N+=2; + } + return N; + } + if(P[0]==-5){ /* functions */ + for(N=0,R=[],LT=L;LT!=[];LT=cdr(LT)){ + T=car(LT); + if(T[0]==0) N=ior(N,1); + else if(type(T[0])==1){ + if(T[0]>0) N=ior(N,2^T[0]); + } + else if(Type(T[0])==2){ + if(findin(T[0],R)<0) R=cons(T[0],R); + } + } + for(I=5;I>=0;I--) if(iand(N,2^I)) R=cons(I,R); + return R; + } + return 0; + } + + if(length(P)>1){ + if(type(P[1])==6||(type(P[1])<2&&P[1]>0)) M=P[1]; + else if(type(P[1])==4&&length(P[1])==2) M=diagm(2,P[1]); + } + if(length(P)>2&&type(P[2])==4){ + Org=[["shift",P[2]]]; + if(M==0) M=1; + }else Org=[]; + if(P[0]==0||(type(P[0])==4&&P[0][0]==0)){ /* Risa/Asir */ + PP=car(P);PPP=0; + if(type(PP)!=4) PP=[PP]; + if(length(PP)<3){ + if(length(PP)==1 || type(PP[1])==4){ + if(ID_PLOT<0) ID_PLOT=ox_launch_nox(0,"ox_plot"); + Id=ID_PLOT; + if(length(PP)==1&&type(Canvas)==4&&length(Canvas)==2) + PP=cons(PP[0],[Canvas]); + if(length(PP)>1){ + PPP=PP[1][0]; + PPQ=(length(PP[1])==2)?PP[1][1]:PPP; + open_canvas(Id,[PPP,PPQ]); + }else open_canvas(Id); + Ind=ox_pop_cmo(Id); + }else{ + Ind=PP[1]; + if(getopt(cl)==1) clear_canvas(Id,Ind); + } + }else{ + Id=PP[1];Ind=PP[2]; + if(length(PP)>3 && type(PP[3])==1) PPP=PP[3]; + if(length(PP)>4 && type(PP[4])==1) PPQ=PP[4]; + if(getopt(cl)==1) clear_canvas(Id,Ind); + } + if(L==[]) return (PPP>0)? [0,Id,Ind,PPP,PPQ]:[0,Id,Ind]; + Ex0=Ex0;Sft=[0,0]; + if(length(P)>1&&P[1]==0&&length(P)<4){ + R=execdraw(L,-3); + Ex0=Ex1=Ex2=10; + if((U=R[1])>0){ /* string */ + if(U>20) U=16; /* adj 16,8,2,7,15 */ + if(R[0][0][0]>R[2][0][0]-(R[0][0][1]-R[0][0][0])/256) Ex0+=8*U; /* adj 256 */ + else Ex0+=2*U; + if(R[0][0][1]<R[2][0][1]+(R[0][0][1]-R[0][0][0])/256) Ex1+=7*U; + else Ex1+=2*U; + if(R[0][1][1]<R[2][1][1]+(R[0][1][1]-R[0][1][0])/256) Ex2+=15; + } + R=[R[0][0],R[0][1],0,[Ex0,Ex1],[0,-Ex2]]; + if(length(P)>2 && P[2]==1) + mycat0(["Box:",[R[0],R[1]], ", ext=",R[3],", shift=",R[4]],1); + }else R=execdraw((length(P)>3)?P[3]:L,-2); /* Windows */ + XW=R[0];YW=R[1]; + if(length(R)>3){ + if(R[3]!=0 && R[3]!=[0,0]) Ex=R[3]; + if(length(R)>4) Sft=R[4]; + } + if(type(X=getopt(ext))==4) + Ex=(Ex0)?[X[0]+Ex[0],X[1]+Ex[1]]:X; + if(type(M)<2){ + if(length(P)>1&&type(P[1])==1) M=P[1]; + else if((length(P)==1||P[1]==0||P[1]==1)&& PPP>0) M=PPP; + if(M<2) M=400; + if(Ex!=0 && type(Ex)==4){ + M-=Ex[0]+Ex[1]; + } + M=(M/(XW[1]-XW[0]))*diagm(2,[1,-1]); + } + if(type(X=getopt(shift))==4) Sft=(Ex0)?[Sft[0]+X[0],Sft[1]+X[1]]:X; + if(type(Sft)==4) Sft=[Sft[0],-Sft[1]]; + if(Ex!=0) Sft=[Sft[0]+Ex[0],Sft[1]]; + Org=[["shift",ptaffine(M,[-XW[0],-YW[1]]|shift=Sft)]]; + for(CT=0;CT<2;CT++){ + for(LT=L;LT!=[];LT=cdr(LT)){ + T=car(LT); + if(!CT && T[0]!=2) continue; + if(CT && T[0]==2) continue; + if(T[0]==1){ + for(TT=cdr(cdr(T));TT!=[];TT=cdr(TT)){ + D=car(TT); + if(type(D[0][0])==4){ + for(DT=D;DT!=[];DT=cdr(DT)){ + V=car(DT); + if(M) V=ptaffine(M,V|option_list=Org); + draw_bezier(Id,Ind,V|option_list=T[1]); + } + }else{ + if(M) D=ptaffine(M,D|option_list=Org); + draw_bezier(Id,Ind,D|option_list=T[1]); + } + } + }else if(T[0]==2){ /* put */ + if(length(T)<4) continue; + V=T[2]; + if(type(VLB)==4&&V[0]=="_") V=VLB; + else if(type(V[0])>1||type(V[1])>1) continue; /* not supported */ + if(length(T)>3&&type(T[3])==4&&length(T[3])>1&&T[3][1]==1) VLB=V; + F++;MM=M; + if((Sc=delopt(T[1],"scale"|inv=1))!=[]){ + if(!MM) MM=1; + Sc=car(Sc)[1]; + if(type(Sc)==1) MM=MM*Sc; + else if(type(Sc)==6) MM=MM*diagm(2,Sc); + } + if(MM) V=ptaffine(MM,V|option_list=Org); + if(type(S=S0=T[3])==4) S=S0[0]; + if(length(T)>4) S=T[4]; /* subst. string */ + if(type(S0)==4&&type(S0[0])==4){ + if((Col=drawopt(S0[0][0],0))<0) Col=0; /* attrib. */ + if(type(S)!=7) S=rtostr(S0[0][1]); + S=str_subst(S,[["$\\bullet$","*"],["$\\times$","x"],["$",""]],0); + if(type(Pos=drawopt(S0[0][0],2))==4) + V=[V[0]+4*str_len(S)*Pos[0],V[1]-10*Pos[1]]; /* adjustable */ + }else S=str_subst(rtostr(S),[["$\\bullet$","*"],["$\\times$","x"],["$",""]],0); + V=[V[0]-str_len(S)*4,V[1]-8]; /* adjustable */ + draw_string(Id,Ind,V,S,Col); + }else if(T[0]==3){ /* arrow */ + F++; + T1=T[2];T2=T[3]; + if(M){ + T1=ptaffine(M,T1|option_list=Org); + T2=ptaffine(M,T2|option_list=Org); + } + draw_bezier(Id,Ind,[T1,T2]|option_list=T[1]); + }else if(T[0]==4){ /* line */ + F++; + T1=T[2];T2=T[3]; + if(M){ + T1=ptaffine(M,T1|option_list=Org); + T2=ptaffine(M,T2|option_list=Org); + } + V=delopt(T1=T[1],"opt"|inv=1); + if(V!=[]&&str_str(V[1],".")>=0) + T1=cons(["opt",cons("dotted,",V[1])],delopt(T1,"opt")); + draw_bezier(Id,Ind,[T1,T2]|option_list=T1); + }else if(T[0]==5){ /* TeX */ + mycat(rtostr(T[2])); + if(F){ + S=str_tb(0,Out); + Out=str_tb(0,0); + F=0; + if(S!=""){ + if(P[0]==2) dviout(xyproc(S)|keep=1); + else LOut=cons(xyproc(S),LOut); + } + if(P[0]==2) dviout(T[2]|option_list=T[1]); + else{ + LOut=cons(T[2],Out); + } + } + }else if(Proc==1&&type(T[0])==2){ + if(length(T)<3) call(T[0],T[1]); + else call(T[0],T[1]|option_list=T[2]); + } + } + } + S=(PPP>0)? [0,Id,Ind,PPP,PPQ]:[0,Id,Ind]; + if(Ex==0&&Sft!=[0,0]) Ex=[0,0]; + return (Ex!=0&&length(P)>2&&P[2]==-1)? + [S,0,0,[0,R[0],R[1],0,Ex,[Sft[0]-Ex[0],-Sft[1]]]]:S; + } + if(P[0]==1||P[0]==2){ /* TeX */ + Out=str_tb(0,0);LOut=[];F=0; + if(getopt(cl)==1) dviout0(0); + for(;L!=[];L=cdr(L)){ + T=car(L);Opt=T[1]; + if(type(T[0])>=2) continue; + if(T[0]==0){ + XW=T[1];YW=T[2]; + if(length(P)>1&&type(P[1])==1&&P[1]<0) + M=-P[1]/(XW[0]-XW[1]); + }else if(T[0]==1){ + F++; + for(TT=cdr(cdr(T));TT!=[];TT=cdr(TT)){ + D=car(TT); + if(type(D[0][0])==4){ + for(DT=D;DT!=[];DT=cdr(DT)){ + V=car(DT); + if(M) V=ptaffine(M,V|option_list=Org); + str_tb(xybezier(V|option_list=Opt),Out); + } + }else{ + if(M) D=ptaffine(M,D|option_list=Org); + str_tb(xybezier(D|option_list=Opt),Out); + } + } + }else if(T[0]==2){ + F++;V=T[2]; + Opt=delopt(Opt,"scale"|inv=1); + MM=M; + if(Opt!=[]){ + Opt=car(Opt)[1]; + if(type(Opt)==1) Opt=[Opt,Opt]; + if(Opt!=[1,1]){ + if(!MM) MM=1; + MM=MM*diagm(2,[Opt[0],Opt[1]]); + } + } + if(MM) V=ptaffine(MM,V|option_list=Org); + if(length(T)>3) V=append(V,T[3]); + str_tb(xyput(V),Out); + }else if(T[0]==3){ + F++; + T1=T[2];T2=T[3]; + if(M){ + T1=ptaffine(M,T1|option_list=Org); + T2=ptaffine(M,T2|option_list=Org); + } + str_tb(xyarrow(T1,T2|option_list=Opt),Out); + }else if(T[0]==4){ + F++; + T1=T[2];T2=T[3]; + if(M){ + T1=ptaffine(M,T1|option_list=Org); + T2=ptaffine(M,T2|option_list=Org); + } + str_tb(xyline(T1,T2|option_list=Opt),Out); + }else if(T[0]==5){ + if(F){ + S=str_tb(0,Out); + Out=str_tb(0,0); + F=0; + if(S!=""){ + if(P[0]==2) dviout(xyproc(S)|keep=1); + else LOut=cons(xyproc(S),LOut); + } + if(P[0]==2) dviout(T[2]|option_list=T[1]); + else LOut=cons(T[2],Out); + } + }else if(T[0]==-2) + str_tb(["%",T[1],"\n"],Out); + else if(Proc==1&&type(T[0])==2){ + if(length(T)<3) call(T[0],T[1]); + else call(T[0],T[1]|option_list=T[2]); + } + } + S=str_tb(0,Out); + if(P[0]==1){ + if(F) LOut=cons(xyproc(S),LOut); + Out=str_tb(0,0); + for(L=reverse(LOut);L!=[];L=cdr(L)) + str_tb(car(L),Out); + return str_tb(0,Out); + } + if(F) dviout(xyproc(S)); + else dviout(" "); + } +} + +def execproc(L) +{ + if(type(N=getopt(var))!=1&&N!=0) N=2; + for(R=[];L!=[];L=cdr(L)){ + P=car(L); + if(type(P[0])==2&&vtype(P[0])==3){ + if((VS=vars(cdr(P)))!=[]){ + for(I=0;I<N;I++){ + V=makev(["v",I+1]); + if(findin(V,VS)>=0) P=mysubst(P,[V,R[I]]); + } + } + if(length(P)<3) R=cons(call(P[0],P[1]),R); + else R=cons(call(P[0],P[1]|option_list=P[2]),R); + } + } + return (getopt(all)==1)?R:car(R); +} + +def myswap(P,L) +{ + X=makenewv(P); + for(L=reverse(L);length(L)>1;L=cdr(L)) + P=subst(P,L[0],X,L[1],L[0],X,L[1]); + return P; +} + +def mysubst(P,L) +{ + if(P==0) return 0; + Inv=getopt(inv); + if(type(L[0]) == 4){ + while((L0 = car(L))!=[]){ + P = mysubst(P,(Inv==1)?[L0[1],L0[0]]:L0); + L = cdr(L); + } + return P; + } + if(Inv==1) L=[L[1],L[0]]; + if(type(P) > 3){ + if(type(P)==7) return P; + if(type(P)>7) + return subst(P,L[0],L[1]); +#ifdef USEMODULE + return mtransbys(os_md.mysubst,P,[L]); +#else + return mtransbys(mysubst,P,[L]); +#endif + } + P = red(P); + if(type(P) == 3){ + A=mysubst(nm(P),L);B=mysubst(dn(P),L); + return red(nm(A)/nm(B))*red(dn(B)/dn(A)); + } + L1=(type(L[1])==3)?red(L[1]):L[1];X=L[0]; + if(ptype(L1,X)==3){ + LN=nm(L1);LD=dn(L1); + Deg=mydeg(P,X); + if(Deg <= 0) return P; + V = newvect(Deg+1); + for(V[I=Deg]=1;I >= 1;I--) + V[I-1]=V[I]*LD; + for(R = 0, I = Deg; I >= 0; I--) + R = R*LN + mycoef(P,I,X)*V[I]; + return red(R/V[0]); + } + return subst(P,X,L1); +} + +def mmulbys(FN,P,F,L) +{ + Opt=getopt(); + if(type(F) <= 3){ + if(type(P) <= 3) + return call(FN, cons(P,cons(F,L))|option_list=Opt); + if(type(P) == 5){ + S = length(P); + R = newvect(S); + for(I = 0; I < S; I++) + R[I] = call(FN, cons(P[I],cons(F,L))|option_list=Opt); + return R; + }else if(type(P) == 6){ + S = size(P); + R = newmat(S[0],S[1]); + for(I = 0; I < S[0]; I++){ + for(J = 0; J < S[1]; J++) + R[I][J] = call(FN, cons(P[I][J],cons(F,L))|option_list=Opt); + } + return R; + } + } + if(type(F) == 5){ + S = length(F); + if(type(P) <= 3){ + R = newvect(S); + for(I = 0; I < S; I++) + R[I] = call(FN, cons(P,cons(F[I],L))|option_list=Opt); + return R; + } + if(type(P) == 5){ + for(J=R=0; J<S; J++) + R = radd(R, call(FN, cons(P[J],cons(F[J],L)))|option_list=Opt); + return R; + } + T = size(P); + R = newvect(T[0]); + for(I = 0; I < T[0]; I++){ + for(J = 0; J < S; J++) + R[I] = radd(R[I], call(FN, cons(P[I][J],cons(F[J],L))|option_list=Opt)); + } + return R; + } + if(type(F) == 6){ + S = size(F); + if(type(P) <= 3){ + R = newmat(S[0],S[1]); + for(I = 0; I < S[0]; I++){ + for(J = 0; J < S[1]; J++) + R[I][J] = call(FN, cons(P,cons(F[I][J],L))|option_list=Opt); + } + return R; + } + if(type(P) == 5){ + R = newvect(S[1]); + for(J = 0; J < S[1]; J++){ + for(K = U = 0; K < S[0]; K++) + U = radd(U, call(FN, cons(P[K],cons(F[K][J],L))|option_list=Opt)); + R[J] = U; + } + return R; + } + T = size(P); + R = newmat(T[0],S[1]); + for(I = 0; I < T[0]; I++){ + for(J = 0; J < S[1]; J++){ + for(K = U = 0; K < S[0]; K++) + U = radd(U, call(FN, cons(P[I][K],cons(F[K][J],L)|option_list=Opt))); + R[I][J] = U; + } + } + return R; + } + erno(0); + return 0; +} + +def appldo(P,F,L) +{ + if(type(F) <= 3){ + if(type(L) == 4 && type(L[0]) == 4) + return applpdo(P,F,L); + L = vweyl(L); + X = L[0]; DX = L[1]; + J = mydeg(P,DX); + for(I = R = 0; I <= J; I++){ + if(I > 0) + F = mydiff(F,X); + R = radd(R,mycoef(P,I,DX)*F); + } + return R; + } +#ifdef USEMODULE + return mmulbys(os_md.appldo,P,F,[L]); +#else + return mmulbys(appldo,P,F,[L]); +#endif +} + +def appledo(P,F,L) +{ + if(type(F) <= 3){ + L = vweyl(L); + X = L[0]; DX = L[1]; + J = mydeg(P,DX); + for(I = R = 0; I <= J; I++){ + if(I > 0) + F = myediff(F,X); + R = radd(R,mycoef(P,I,DX)*F); + } + return R; + } +#ifdef USEMODULE + mmulbys(os_md.appledo,P,F,[L]); +#else + mmulbys(appledo,P,F,[L]); +#endif +} + +def muldo(P,Q,L) +{ + if(type(Lim=getopt(lim))!=1) Lim=100; + if(type(Q) <= 3){ + if(type(L) == 4 && type(L[0]) == 4) + return mulpdo(P,Q,L|lim=Lim); /* several variables */ + R = rmul(P,Q); + L = vweyl(L); + X = L[0]; DX = L[1]; + if(X != 0){ + for(I = F = 1; ; I++){ + P = mydiff(P,DX); + if(I>Lim){ + mycat(["Over", Lim,"derivations!"]); + break; + } + if(P == 0) + break; + Q = mydiff(Q,X); + if(Q == 0) + break; + F *= I; + R = radd(R,P*Q/F); + } + } + return R; + } +#ifdef USEMODULE + return mmulbys(os_md.muldo,P,Q,[L]); +#else + return mmulbys(muldo,P,Q,[L]); +#endif +} + +def jacobian(F,X) +{ + F=ltov(F);X=ltov(X); + N=length(F); + M=newmat(N,N); + for(I=0;I<N;I++) + for(J=0;J<N;J++) M[I][J]=red(diff(F[I],X[J])); + if(getopt(mat)==1) return M; + return mydet(M); +} + +def hessian(F,X) +{ + X=ltov(X); + N=length(X); + M=newmat(N,N); + for(I=0;I<N;I++){ + G=red(diff(F,X[I])); + for(J=0;J<N;J++) M[I][J]=red(diff(G,X[J])); + } + if(getopt(mat)==1) return M; + return mydet(M); +} + +def wronskian(F,X) +{ + N=length(F); + M=newmat(N,N); + for(I=0;F!=[];F=cdr(F),I++){ + M[I][0]=car(F); + for(J=1;J<N;J++) M[I][J]=red(diff(M[I][J-1],X)); + } + if(getopt(mat)==1) return M; + return mydet(M); +} + +def adj(P,L) +{ + if(type(P) == 4) +#ifdef USEMODULE + return map(os_md.adj,mtranspose(P),L); +#else + return map(adj,mtranspose(P),L); +#endif + if(type(L) == 4 && type(L[0]) == 4) +#ifdef USEMODULE + return fmult(os_md.adj,P,L,[]); +#else + return fmult(adj,P,L,[]); +#endif + L = vweyl(L); + X = L[0]; DX = L[1]; + P = R = subst(P, DX, -DX); + for(I = 1; (R = mydiff(mydiff(R, X), DX)/I) != 0 && I < 100; I++) + P = radd(P,R); + return P; +} + +def laplace1(P,L) +{ + if(type(L) == 4 && type(L[0]) == 4) +#ifdef USEMODULE + return fmult(os_md.laplace,P,L,[]); +#else + return fmult(laplace,P,L,[]); +#endif + L = vweyl(L); + X = L[0]; DX = L[1]; + P = adj(P, L); + return subst(P,X,o_1,DX,X,o_1,DX); +} + +def laplace(P,L) +{ + if(type(L) == 4 && type(L[0]) == 4) +#ifdef USEMODULE + return fmult(os_md.laplace1,P,L,[]); +#else + return fmult(laplace1,P,L,[]); +#endif + L = vweyl(L); + X = L[0]; DX = L[1]; + P = adj(P, L); + return subst(P,X,o_1,DX,-X,o_1,-DX); +} + +def mce(P,L,V,R) +{ + L = vweyl(L); + X = L[0]; DX = L[1]; + P = sftexp(laplace1(P,L),L,V,R); + return laplace(P,L); +} + +def mc(P,L,R) +{ + return mce(P,L,0,R); +} + +def rede(P,L) +{ + Q = ltov(fctr(nm(red(P)))); + P = 1; + if(type(L) < 4) + L = [L]; + if(type(L[0]) < 4) + L = [L]; + for( ; L != []; L = cdr(L)){ + DX = vweyl(car(L))[1]; + for(I = 1; I < length(Q); I++){ + if(mydeg(Q[I][0],DX) > 0){ + P *= (Q[I][0])^(Q[I][1]); + Q[I]=[1,0]; + } + } + } + return P; +} + +def ad(P,L,R) +{ + L = vweyl(L); + DX = L[1]; + K = mydeg(P,DX); + S = mycoef(P,0,DX); + Q = 1; + for(I=1; I <= K;I++){ + Q = muldo(Q,DX-R,L); + S = radd(S,mycoef(P,I,DX)*Q); + } + return S; +} + +def add(P,L,R) +{ + return rede(ad(P,L,R),L); +} + + +def vadd(P,L,R) +{ + L = vweyl(L); + if(type(R) != 4) + return 0; + N = length(R); + DN = 1; Ad = PW = 0; + for( ; R != []; R = cdr(R), PW++){ + DN *= (T=1-car(R)[0]*L[0]); + Ad = Ad*T-car(R)[1]*x^PW; + } + Ad /= DN; + return add(P,L,Ad); +} + +def addl(P,L,R) +{ + return laplace1(add(laplace(P,L),L,R),L); +} + +def cotr(P,L,R) +{ + L = vweyl(L); + X = L[0]; DX = L[1]; + T = 1/mydiff(P,DX); + K = mydeg(P,DX); + S = mysubst(mycoef(P,0,DX), [X, R]); + Q = 1; + for(I = 1; I <= K; I++){ + Q = muldo(Q, K*DX, L); + S = radd(S,mysubst(mycoef(P,I,DX), [X, R])*Q); + } +} + +def rcotr(P,L,R) +{ + return rede(cotr(P,L,R), L); +} + +def muledo(P,Q,L) +{ + if(type(Q)>3) +#ifdef USEMODULE + return mmulbys(os_md.muledo,P,Q,[L]); +#else + return mmulbys(muledo,P,Q,[L]); +#endif + R = P*Q; + L = vweyl(L); + X = L[0]; DX = L[1]; + for(I = F = 1; I < 100; I++){ + P = mydiff(P,DX); + if(P == 0) + break; + Q = myediff(Q,X); + if(Q == 0) + break; + F = rmul(F,I); + R = radd(R,P*Q/F); + } + return R; +} + + +#if 1 +def mulpdo(P,Q,L) +{ + if(type(Q)>3) +#ifdef USEMODULE + return mmulbys(os_md.mulpdo,P,Q,[L]); +#else + return mmulbys(mulpdo,P,Q,[L]); +#endif + if(type(Lim=getopt(lim))!=1) Lim=100; + M = vweyl(car(L)); X= M[0]; DX = M[1]; + L = cdr(L); + R = 0; + for(I = 0; Q != 0 && I <= Lim; I++){ + if(I>Lim){ + mycat(["Over", Lim,"derivations!"]); + break; + } + if(I > 0) + P /= I; + if(length(L)==0) + R = radd(R,P*Q); + else + R = radd(R,mulpdo(P,Q,L)); + if(X==0) break; + P = mydiff(P,DX); + if(P == 0) + break; + Q = mydiff(Q,X); + } + if(I>Lim) mycat(["Over", Lim,"derivations!"]); + return R; +} + +#else +def mulpdo(P,Q,L); +{ + if(type(Q)>3) +#ifdef USEMODULE + return mmulbys(os_md.mulpdo,P,Q,[L]); +#else + return mmulbys(mulpdo,P,Q,[L]); +#endif + if(type(Lim=getopt(lim))!=1) Lim=100; + N = length(L); + VO = newvect(2*N); + VN = newvect(2*N); + for(I = J = 0; I < N; J += 2, I++){ + M = vweyl(L[I]); + P = subst(P, VO[J]=M[0], VN[J]=strtov("o_"+rtostr(V[J])), + VO[J+1]=M[1], VN[J+1] = strtov("o_"+rtostr(V[J+1]))); + } + for(PQ = P*Q, I = 0; I < 2*N; I += 2){ + for(R = PQ, J = 1; J < Lim; J++){ + R = mydiff(R, VN[I+1])/J; + if(R == 0) + break; + R = mydiff(R, VO[I]); + if(R == 0) + break; + PQ = radd(PQ,R); + } + if(I==Lim) mycat(["Over", Lim,"derivations!"]); + PQ = red(subst(PQ,VN[I],VO[I],VN[I+1],VO[I+1])); + } +} +#endif + +def transpdosub(P,LL,K) +{ + Len = length(K)-1; + if(Len < 0 || P == 0) + return P; + KK=K[Len]; + if(type(KK)==4){ + KK0=KK[0]; KK1=KK[1]; + }else{ + L = vweyl(LL[Len]); + KK0=L[1]; KK1=K[Len]; + } + Deg = mydeg(P,KK0); + K1 = reverse(cdr(reverse(K))); + R = transpdosub(mycoef(P,0,KK0),LL,K1); + for(I = M = 1; I <= Deg ; I++){ + M = mulpdo(M,KK1,LL); + S = mycoef(P,I,KK0); + if(Len > 0) + S = transpdosub(S,LL,K1); + R = radd(R,mulpdo(S,M,LL)); + } + return R; +} + +def transpdo(P,LL,K) +{ + if(type(K[0]) < 4) + K = [K]; + Len = length(K)-1; + K1=K2=[]; + if(type(LL)!=4) LL=[LL]; + if(type(LL[0])!=4) LL=[LL]; + if(getopt(ex)==1){ + for(LT=LL, KT=K; KT!=[]; LT=cdr(LT), KT=cdr(KT)){ + L = vweyl(LL[J]); + K1=cons([L[0],car(KT)[0]],K1); + K2=cons([L[1],car(KT)[1]],K2); + } + K2=append(K1,K2); + }else{ + for(J = length(K)-1; J >= 0; J--){ + L = vweyl(LL[J]); + if(L[0] != K[J][0]) + K1 = cons([L[0],K[J][0]],K1); + K2 = cons(K[J][1],K2); + } + P = mulsubst(P, K1); + } + return transpdosub(P,LL,K2); +} + +def translpdo(P,LL,M) +{ + S=length(LL); + L0=newvect(S);L1=newvect(S); + K=newvect(S); + for(J=0;J<S;J++){ + L = vweyl(LL[J]); + L0[J]=L[0]; + L1[J]=L[1]; + } + K=rmul(M,L0); + for(T=[],J=0;J<S;J++) + T=cons([L0[J],K[J]],T); + P=mulsubst(P,T); + K=rmul(myinv(M),L1); + for(T=[],J=0;J<S;J++) + T=cons([L1[J],K[J]],T); + return mulsubst(P,T); +} + +/* + return [R, M, S] : R = M*P - S*Q + deg(R,X) < deg(Q,X) +*/ +def rpdiv(P,Q,X) +{ + if(P == 0) + return [0,1,0]; + DQ = mydeg(Q,X); + CO = mycoef(Q,DQ,X); + S = 0; + while((DP = mydeg(P,X)) >= DQ){ + R = mycoef(P,DP,X)/CO; + S = radd(S,R*X^(DP-DQ)); + P = radd(P, -R*Q*X^(DP-DQ)); + } + Lcm = lcm(dn(S),dn(P)); + Gcd = gcd(nm(S),nm(P)); + return [red(P*Lcm/Gcd), red(Lcm/Gcd),red(S*Lcm/Gcd)]; +} + +def texbegin(T,S) +{ + if(type(Opt=getopt(opt))==7) Opt="["+Opt+"]\n"; + else Opt="\n"; + return "\\begin{"+T+"}"+Opt+S+"%\n\\end{"+T+"}\n"; +} + +def mygcd(P,Q,L) +{ + if((Dvi=getopt(dviout))==3 || Dvi==-3){ /* dviout=3 */ + if((Rev=getopt(rev))!=1) Rev=0; + R=mygcd(P,Q,L|rev=Rev); + if(type(L)<2) Var=0; + else if(type(L)==2){ + Val=L;L=[0,L]; + }else if(type(L)==4){ + L=vweyl(L); + Var=[[L[1],"\\partial"]]; + } + S=mat([P],[Q]);T=mat([R[0]],[0]); + M=mat([R[1],R[2]],[R[3],R[4]]); + if(type(Val)==4) + N=mdivisor(M,L|trans=1)[1]; + else N=myinv(M); + Tb=str_tb(mtotex(S|var=Var),0); + str_tb("&="+mtotex(N|var=Var)+mtotex(T|var=Var)+",\\\\\n",Tb); + str_tb(mtotex(T|var=Var),Tb); + str_tb("&="+mtotex(M|var=Var)+mtotex(S|var=Var)+".",Tb); + Out=str_tb(0,Tb); + if(Dvi<0) return Out; + dviout(Out|eq="align*"); + return 1; + } + if((type(Dvi)==1||Dvi==0) && getopt(rev)!=1) V=[[P,Q]]; + else V=0; + if(L==0){ /* integer case */ + if(type(P) > 1 || type(Q) > 1 || Q==0 /* P <= 0 || Q <= 0 */ + || dn(P) > 1 || dn(Q) > 1) + return 0; + CPP = CQQ = 1; CQP = CPQ = 0; + P1 = P; Q1 = Q; + /* P1 = CPP*P + CPQ*Q + Q1 = CQP*P + CQQ*Q */ + while(Q1 != 0){ + Div1 = idiv(P1,Q1); Div2 = irem(P1,Q1); + if(type(V)==4) V=cons([Div1,Div2],V); + P1 = Q1 ; Q1 = Div2; + TP = CQP; TQ = CQQ; + CQP = CPP-Div1*CQP; + CQQ = CPQ-Div1*CQQ; + CPP = TP; CPQ = TQ; + } + if(V!=0){ + V=reverse(V); + if((DVI=abs(Dvi))==0) return V; + PT=P;QT=Q; + if(DVI==1 || DVI==2){ + Tb=str_tb(0,0); + for(C=0,V=cdr(V);V!=[];V=cdr(V)){ + T=car(V); + if(C++) str_tb(texcr(11),Tb); + if(DVI==1){ + Qs=rtostr(QT); + if(QT<0) Qs="("+Qs+")"; + if(T[1]>0) Qs=Qs+"+"; + if(T[1]!=0) Qs=Qs+rtostr(T[1]); + str_tb(rtostr(PT)+"&=" + +rtostr(T[0])+"\\times"+Qs,Tb); + }else{ + N=mat([T[0],1],[1,0]); + if(C==1){ + str_tb(S0=mtotex(mat([PT],[QT])),Tb); + M=N; + } + str_tb("&=",Tb); + if(C>1) str_tb(mtotex(M),Tb); + str_tb(mtotex(N),Tb); + str_tb(S=mtotex(mat([QT],[T[1]])),Tb); + if(C>1){ + str_tb("=",Tb); + str_tb(mtotex(M=M*N),Tb); + str_tb(S,Tb); + } + } + PT=QT;QT=T[1]; + } + if(DVI==2){ + str_tb(texcr(43)+S+"&=",Tb); + str_tb(mtotex(myinv(M)),Tb); + str_tb(S0,Tb); + } + Out=str_tb(0,Tb); + if(Dvi>0){ + dviout(Out|eq="align*"); + return 1; + } + return Out; + } + } + if(P1<0) return [-P1,-CPP,-CPQ,CQP,CQQ]; + return [P1, CPP, CPQ, CQP, CQQ]; + } + if(type(L) == 2) /* polynomical case */ + L = [0,L]; + if(getopt(rev)==1 && L[0]!=0){ + R=mygcd(adj(P,L),adj(Q,L),L); + return [adj(R[0],L),adj(R[1],L),adj(R[2],L),adj(R[3],L),adj(R[4],L)]; + } + if(type(P) == 3) + P = red(P); + if(type(Q) == 3) + Q = red(Q); + CP=newvect(2,[1/dn(P),0]); CQ=newvect(2,[0,1/dn(Q)]); + P=PT=nm(P); Q =QT=nm(Q); + L = vweyl(L); + while(Q != 0){ + R = divdo(P,Q,L); + if(type(V)==4) V=cons(R,V); +/* R[1] = R[2]*P - R[0]*Q + = R[2]*(CP[0]*P0+CP[1]*Q0) - R[0]*(CQ[0]*P0+CQ[1]*Q0) */ +/* + P(n) |0 1 | P(n-1) + = | | + R[1] |R[2] -R[0]| P(n) + P(n+1) = R[1], P(n) = P, P(n-1) = Q +*/ + P = Q; + Q = R[1]; + { + CT = dupmat(CQ); + CQ = [R[2]*CP[0]-muldo(R[0],CQ[0],L), + R[2]*CP[1]-muldo(R[0],CQ[1],L)]; + CP = CT; + } + } + if(V!=0){ + V=reverse(V); + if((DVI=abs(Dvi))==0) return V; + if(type(L[0])<1) Var=L[1]; + else Var=[L[1],"\\partial"]; + if(DVI==1 || DVI==2){ + Tb=str_tb(0,0); + PT=car(V)[0];QT=car(V)[1]; + for(C=0,V=cdr(V);V!=[];V=cdr(V)){ + T=car(V); + if(C++) str_tb(texcr(11),Tb); + if(DVI==1){ + if(T[2]!=1){ + str_tb(monototex(T[2]),Tb); + str_tb("(",Tb); + str_tb(fctrtos(PT|var=Var,TeX=2),Tb); + str_tb(")&=",Tb); + }else{ + str_tb(fctrtos(PT|var=Var,TeX=2),Tb); + str_tb("&=",Tb); + } + str_tb("(",Tb); + str_tb(fctrtos(T[0]|var=Var,TeX=2),Tb); + str_tb(")(",Tb); + str_tb(fctrtos(QT|var=Var,TeX=2),Tb); + if(T[1]!=0){ + str_tb(")+(",Tb); + str_tb(fctrtos(T[1]|var=Var,TeX=2),Tb); + } + str_tb(")",Tb); + }else{ + N=mat([red(T[0]/T[2]),1],[1,0]); + if(C==1){ + str_tb(S0=mtotex(mat([PT],[QT])|var=Var),Tb); + M=N; + } + str_tb("&=",Tb); + if(C>1) str_tb(mtotex(M),Tb); + str_tb(mtotex(N|var=Var),Tb); + str_tb(S=mtotex(mat([QT],[T[1]])|var=Var),Tb); + if(C>1){ + str_tb("=",Tb); + str_tb(mtotex(M=muldo(M,N,L)|var=Var),Tb); + str_tb(S,Tb); + } + } + PT=QT;QT=T[1]; + } + if(DVI==2){ + FT=fctr(PT); + for(R=1;FT!=[];FT=cdr(FT)){ + if(mydeg(car(FT)[0],L[1])<1) + for(J=car(FT)[1];J>0;J--) R*=car(FT)[0]; + } + if(R!=1){ + str_tb(texcr(79),Tb); + M=muldo(M,mat([R,0],[0,1]),L); + str_tb(mtotex(M|var=Var),Tb); + str_tb(S=mtotex(mat([PT/R],[QT])|var=Var),Tb); + } + str_tb(texcr(43)+S+"&=",Tb); + if(type(Var)==4){ + N=mdivisor(M,L|trans=1); + N=N[1]; + }else + N=myinv(M); + str_tb(mtotex(N|var=Var),Tb); + str_tb(S0,Tb); + } + Out=str_tb(0,Tb); + if(Dvi>0){ + dviout(Out|eq="align*"); + return 1; + } + return Out; + } + } + Q = rede(P,L); + R = red(P/Q); + return [Q,red(CP[0]/R),red(CP[1]/R),red(CQ[0]/R),red(CQ[1]/R)]; +} + +def mylcm(P,Q,L) +{ + Rev=(getopt(rev)==1)?1:0; + if(Rev==1){ + P=adj(P); Q=adj(Q); + } + R = mygcd(P,Q,L); + S=(type(L)<=2)?R[3]*P:muldo(R[3],P,L); + S = nm(S); + if(type(S) <= 1 && type(L) <= 1){ + if(S<0) S = -S; + return S; + } + if(type(L) == 2) + return easierpol(S,L); + S=rede(easierpol(S,L[1]),L); + return (Rev==1)?adj(S):S; +} + +def sftpexp(P,LL,F,Q) +{ + if(type(LL[0]) < 4) + LL = [LL]; + for(L0=L1=[],LT=LL;LT!=[];LT=cdr(LT)){ + W=vweyl(car(LT)); + L0=cons(W,L0); + D=mydiff(F,W[0]); + if(D!=0) L1=cons(W[1]+Q*D/F,L1); + else L1=cons(W[1],L1); + } + return rede(transpdosub(P,L0,L1),L0); +} + +def applpdo(P,F,LL) +{ + if(type(F)>3) +#ifdef USEMODULE + return mmulbys(os_md.applpdo,P,F,[LL]); +#else + return mmulbys(applpdo,P,F,[LL]); +#endif + L = vweyl(LL[0]); + LL = cdr(LL); + Deg = deg(P,L[1]); + S = F; + for(I = R = 0; I <= Deg ; I++){ + if(I > 0) + S = mydiff(S,L[0]); + if(LL == []) + R = radd(R,mycoef(P,I,L[1])*S); + else + R = radd(R,applpdo(mycoef(P,I,L[1]), S, LL)); + } + return R; +} + +def tranlpdo(P,L,M) +{ + N = length(L); + R = size(M); + if(R[0] != N || R[1] != N){ + print("Strange size"); + return; + } + InvM = M; + if(InvM[1] == 0){ + print("Not invertible"); + return; + } + XL = newvector(N); + DL = newvector(N); + for(I = 0; I < 0; I++){ + R = vweyl(L[I]); + XL[I] = R[0]; + DL[I] = R[1]; + } + for(I = 0; I < N; I++){ + for(J = XX = D0 = 0; J < N; J++){ + XX = radd(XX,M[I][J]*XL[J]); + DD = radd(DD, red(InvM[0][I][J]/InvM[1])*DL[J]); + P = mysubst(P,[[XL[I],XX],[DL[I],DD]]); + } + } + return P; +} + +def divdo(P,Q,L) +{ + if(L==0){ + R=P-idiv(P,Q)*Q; + if(R<0){ + if(Q>0) R+=Q; + else R-=Q; + } + return [(P-R)/Q,R,1]; + } + L = vweyl(L); + if(getopt(rev)==1){ + R=divdo(adj(P,L),adj(Q,L),L); + return [adj(R[0],L),adj(R[1],L),R[2]]; + } + X = L[0]; DX = L[1]; + S = 0; + M = 1; + I = mydeg(Q,DX); + CQ = mycoef(Q,I,DX); + while((J=mydeg(P,DX)) >= I){ + C = mycoef(P,J,DX); + SR = red(C/CQ); + if(dn(SR) != 1){ + M *= dn(SR); + P *= dn(SR); + S *= dn(SR); + SR = nm(SR); + } + P -= muldo(SR*(DX)^(J-I),Q,L); + S += SR*(DX)^(J-I); + } + return [S,P,M]; +} + +def qdo(P,Q,L) +{ + L = vweyl(L); DX = L[1]; OD = deg(P,DX); + V = newvect(OD+1); + for(I = 0; I <= OD; I++){ + if(I) + Q = muldo(DX,Q,L); + S = divdo(Q,P,L); + V[I] = S[1]*DX-S[2]*zz^I; + } + for(K = [], I = OD; I >= 0; I--) + K = cons(DX^(I+1), K); + R = lsol(V,K); + S = length(R); + for(I = P1 = 0; I < S; I++){ + if(type(R[I]) < 4 && mydeg(R[I],DX) == 0 && R[I] != 0 + && (mydeg(R[I],zz) <= mydeg(P,DX))) + P1 = R[I]; + else if(type(R[I]) == 4 && R[I][0] == DX) + P2 = R[I][1]; + } + T=fctr(P1); + for(I=0, S=length(T), P1=1; I<S; I++){ + if(mydeg(T[I][0],zz) > 0) + P1 *= T[I][0]^(T[I][1]); + } + return subst([P1,P2],zz,DX); +} + +def sqrtdo(P,L) +{ + L = vweyl(L); + P = toeul(P,L,0); + V = -1; + for(R = 0, Ord = mydeg(P,L[1]); Ord >= 0; Ord--){ + Q = coef(P,Ord,L[1]); + M = mydeg(Q,L[0]); + N = mymindeg(Q,L[0]); + if(V < 0) + V = M+N; + else if(V != M+N){ + print("Cannot be transformed!"); + return; + } + Q = tohomog(red(Q/L[0]^N), [L[0]], z_z); + if(irem(Ord,2)) + B = x-z_z; + else + B = x+z_z; + Q = substblock(Q,x,B,z_zz); + if(mydeg(Q,x) > 0){ + print("Cannot be transformed!"); + return; + } + R += mysubst(Q,[z_zz,x])*L[1]^Ord; + } + return fromeul(R,L,0); +} + +def ghg(A,B) +{ + R = dx; + while(length(B)>0){ + R = muldo(x*dx+car(B),R,[x,dx]); + B = cdr(B); + } + T = 1; + while(length(A)>0){ + T = muldo(x*dx+car(A),T,[x,dx]); + A = cdr(A); + } + return R-T; +} + +def ev4s(A,B,C,S,T) +{ + R4 = x^2*(x-1)^2; + R3 = x*(x-1)*((2*A-2*B-8)*x-2*A+5); + R2 = (-3/2*(A^2+B^2)+3*A*B+9*A-9*B-29/2+1/4*(S^2+T^2))*x^2 + +(5*A^2/2-13*A-3*A*B+B^2/2+7*B-C^2+C+35/2 - 1/4*(S^2+T^2))*x + - (2*A+2*C-5)*(2*A-2*C-3)/4; + R1 = 1/4*(A-B-2)*(2*A^2-4*A*B-8*A+2*B^2+8*B+10-S^2-T^2)*x + +15/4+3*B^2/4-C^2/2+11*A^2/4 - 11*A/2+3*B+B*C-7*A*B/2+C/2-A*B^2/2 +#if 1 + + A^2*B +#endif + - B*C^2 - A^3/2+(2*A-3)*(S^2+T^2)/8; +/* OK? for the above term added */ + R0 = -(A-B-1-S)*(A-B-1+S)*(A-B-1-T)*(A-B-1+T)/16; + return (R4*dx^4-R3*dx^3-R2*dx^2-R1*dx-R0); +} + +def b2e(A,B,C,S,T) +{ + R4 = x^2*(x-1)^2; + R3 = x*(x-1)*(2*x-1)*(2*c-5); + R2 = (-6*C^2+24*C-25+1/2*S^2+1/2*T^2)*x^2 + +(6*C^2-24*C+25-1/2*S^2-1/2*T^2-A^2+B^2+A-B)*x + +A^2-C^2-A+4*C-15/4; + R1 = (2*C-3)*(2*C^2-6*C+5-1/2*S^2-1/2*T^2)*x + +(2*C-3)*(-C^2+3*C+1/2*A^2-1/2*B^2+1/2*B-1/2*A-5/2+1/4*S^2+1/4*T^2); + R0 = -(2-2*C+S+T)*(2-2*C-S-T)*(2-2*C+S-T)*(2-2*C-S+T)/16; + return (R4*dx^4-R3*dx^3-R2*dx^2-R1*dx-R0); +} + + +/* + T^m = T(T-1)....(T-m+1) + f(t) -> g(t) + + f(t) = a_mt^m + ... + a_1t+a_0 + g(x*dx) = a_m*x^m*dx^m + ... + a_1*x*dx+a_0 + + ret: x(x-1)...(x-i+1) + */ +def sftpow(X,I) +{ + R = 1; + for(J=0;J<I;J++) + R *= X-J; + return(R); +} + +/* + ret: x(x+K)(x+2*k)...(x+(i-1)*k) +*/ +def sftpowext(X,I,K) +{ + R = 1; + for(J=0;J<I;J++) + R *= X+K*J; + return(R); +} + +def polinsft(F,A) +{ + R = 0; + while(F != 0){ + D = mydeg(F,A); + C = mycoef(F,D,A); + R += C*A^D; + F -= C*sftpow(A,D); + } + return R; +} + +def pol2sft(F,A) +{ + S=getopt(sft); + if(type(S)<0 || type(S)>2) S=1; + R = 0; + for(I = mydeg(F,A); I >= 0; I--) + R = R*(A-I*S) + mycoef(F,I,A); + return R; +} + +def binom(P,N) +{ + if(type(N)!=1 || N<=0) return 1; + for(S=1;N>0;N--,P-=1) S*=P/N; + return red(S); +} + +def expower(P,R,N) +{ + if(type(N)!=1 || N<0) return 0; + for(S=S0=K=1;K<=N;K++,R-=1){ + S0*=P*R/K;S+=S0; + } + return red(S); +} + +def seriesHG(A,B,X,N) +{ + if(N==0) return 1; + if(type(N)!=1 || N<0) return 0; + if(type(X)<4){ + for(K=0,S=S0=1;K<N;K++){ + for(T=A; T!=[]; T=cdr(T)) S0*=car(T)+K; + for(T=B; T!=[]; T=cdr(T)) S0/=car(T)+K; + S0=red(S0*X/(K+1)); + DN=dn(S0); + S=red((red(S*DN)+nm(S0))/DN); + } + return S; + } + S=0; + for(K=0;K<=N;K++){ + for(I=0;I<=N-K;I++){ + C=1/sftpowext(1,I,1)/sftpowext(1,J,1); + for(T=A[0];T!=[];T=cdr(T)) C*=sftpowext(car(T),I+K,1); + for(T=A[1];T!=[];T=cdr(T)) C*=sftpowext(car(T),I,1); + for(T=A[2];T!=[];T=cdr(T)) C*=sftpowext(car(T),K,1); + for(T=B[0];T!=[];T=cdr(T)) C/=sftpowext(car(T),I+K,1); + for(T=B[1];T!=[];T=cdr(T)) C/=sftpowext(car(T),I,1); + for(T=B[2];T!=[];T=cdr(T)) C/=sftpowext(car(T),K,1); + S+=red(C*X[0]^I*X[1]^K); + } + } + return S; +} + +def evalred(F) +{ + Opt=getopt(opt); + if(type(Opt)!=4){ + Opt=[]; + }else if(length(Opt)==2 && type(Opt[0])!=4) Opt=[Opt]; + for(;;){ + G=mysubst(F,[[tan(0),0],[asin(0),0],[atan(0),0],[sinh(0),0],[tanh(0),0], + [log(1),0],[cosh(0),1],[exp(0),1]]); + for(Rep=Opt; Rep!=[]; Rep=cdr(Rep)) + G=subst(G,car(Rep)[0],car(Rep)[1]); + Var=vars(G); + for(V=Var; V!=[]; V=cdr(V)){ + if(!(VV=args(CV=car(V)))) continue; + if((functor(CV)==sin||functor(CV)==cos)){ + P=2*red(VV[0]/@pi); + if(functor(CV)==sin) P=1-P; + if(isint(P)){ + if(iand(P,1)) G=subst(G,CV,0); + else if(!iand(P,3)) G=subst(G,CV,1); + else G=subst(G,CV,-1); + continue; + } + if(isint(P*=3/2)){ + if(iand(P,3)==1) G=subst(G,CV,1/2); + else G=subst(G,CV,-1/2); + } + } + for(;VV!=[];VV=cdr(VV)) + if(car(VV)!=(TV=evalred(car(VV)))) G=subst(G,car(VV),TV); + if(functor(CV)!=pow || (args(CV)[0])!=1) continue; + G=subst(G,CV,1); + } + if(G==F) return F; + F=G; + } +} + +def seriesMc(F,N,V) +{ + if(type(V)<4) V=[V]; + V=reverse(V); + L=length(V); + if(type(Opt=getopt(evalopt))!=4) Opt=[]; + P=newvect(L); + G=newvect(L+1); + G[0]=F; + for(I=0;I<L;I++) + G[I+1]=eval(evalred(subst(G[I],V[I],0)|opt=Opt)); + R=G[L]; + for(;;){ + for(M=0,I=0;I<L;I++){ + M+=P[I]; + if(M==N) break; + } + if(M<N){ + P[L-1]++; + G[L-1]=mydiff(G[L-1],V[L-1]); + G[L]=eval(evalred(mysubst(G[L-1],[V[L-1],0])|opt=Opt)); + }else{ + if(I--==0) break; + P[I]++; + G[I]=mydiff(G[I],V[I]); + while(I++<L){ + G[I]=eval(evalred(mysubst(G[I-1],[V[I-1],0])|opt=Opt)); + if(I<L) P[I]=0; + } + } + K=1; + for(I=0;I<L;I++) K*=V[I]^P[I]/fac(P[I]); + R+=G[L]*K; + } + return R; +} + +def seriesTaylor(F,N,V) +{ + G=F; + if(isvar(V)) V=[V]; + if(length(V)==2 && type(car(V))!=4 && !isvar(V[1])) V=[V]; + for(V0=V1=[];V!=[];V=cdr(V)){ + if(type(T=car(V))!=4) T=[T]; + V0=cons(X=car(T),V0); + if(length(T)==1 || T[1]==0){ + V1=cons(X,V1);continue; + } + S=my_tex_form(-T[1]); + if(str_char(S,0,"-")!=0) S="+"+S; + S="("+my_tex_form(X)+S+")"; + V1=cons([X,S],V1); + F=red(subst(F,T[0],T[0]+T[1])); + } + V0=reverse(V0);V1=reverse(V1); + F=seriesMc(F,N,V0|option_list=getopt()); + if(getopt(frac)==0) F=frac2n(F); + T=getopt(dviout); + if(type(T)!=1) T=0; + F=fctrtos(F|var=V1,rev=1,TeX=(T==0||T==2)?2:3); + if(getopt(small)==1) F=str_subst(F,"\\frac{","\\tfrac{"); + if(T<0 || T==1) F="\\begin{align}\\begin{split}\n"+ + my_tex_form(G)+"&="+F+"+\\cdots\n\\end{split}\\end{align}\n"; + if(T==1) dviout(F); + else if(T==1) dviout(F|eq=4); + return F; +} + +def toeul(F,L,V) +{ + L = vweyl(L); + X = L[0]; DX = L[1]; + I = mydeg(F,DX); + if(V == "infty"){ + for(II=I; II>=0; II--){ + J = mydeg(P=mycoef(F,I,DX),X); + if(II==I) S=II-J; + else if(P!=0 && II-J>S) S=II-J; + } + F *= X^S; + R = 0; + for( ; I >= 0; I--) + R += red((mysubst(mycoef(F,I,DX),[X,1/X])*(x*DX)^I)); + return(subst(pol2sft(R,DX),DX,-DX)); + } + F = subst(F,X,X+V); + for(II=I; II>=0; II--){ + J = mymindeg(P=mycoef(F,II,DX),X); + if(II==I) S=II-J; + else if(P!=0 && II-J>S) S=II-J; + } + F *= X^S; + R = 0; + for( ; I >= 0; I--) + R += (red(mycoef(F,I,DX)/X^I))*DX^I; + return pol2sft(R,DX); +} + +/* +def topoldif(P,F,L) +{ + L = vweyl(L); + P = nm(red(P)); + while(deg(P,L[1]) > 0){ + R = coef(P,0,L[0]); + Q = red((P-R)/(F*L[0]); + P = nm(Q)*zz+F*R*dn(Q); + } +} +*/ + +def fromeul(P,L,V) +{ + if(P == 0) + return 0; + L = vweyl(L); + X = L[0]; DX = L[1]; + I = mydeg(P,DX); + if(V == "infty"){ + P = subst(P,DX,-DX); + J = mydeg(P,X); + P = red(mysubst(P,[X,1/X])*X^J); + } + R = mycoef(P,0,DX); + S = 1; + for(S = J = 1; J <= I; J++){ + S = DX*(S*X + mydiff(S,DX)); + R += mycoef(P,J,DX)*S; + } + while(mycoef(R,0,X) == 0) + R = tdiv(R,X); + if(V != "infty" && V != 0) + R = mysubst(R,[X,X-V]); + return R; +} + +def sftexp(P,L,V,N) +{ + L = vweyl(L); DX = L[1]; + P = mysubst(toeul(P,L,V),[DX,DX+N]); + return fromeul(P,L,V); +} + + +def fractrans(P,L,N0,N1,N2) +{ + L = vweyl(L); + if(N2 != "infty"){ + if(N0 == "infty") + N0 = 0; + else + N0 = red(1/(N0-N2)); + if(N1 == "infty") + N1 = 0; + else + N1 = red(1/(N1-N2)); + P = mysubst(P,[L[0],L[0]+N2]); + P = fromeul(toeul(P,L,"infty"),L,0); + } + if(N0 != 0){ + P = mysubst(P,[L[0],L[0]+N0]); + N1 -= N0; + } + if(N1 != 1) + P = mysubst(P,[[L[0],L[0]/N1],[L[1],L[1]*N1]]); + return P; +} + +def soldif(P,L,V,Q,N) +{ + L = vweyl(L); X = L[0]; DX = L[1]; + P = mysubst(toeul(P,L,V),[DX,DX+Q]); + DEG = mydeg(P,X); + P0 = newvect(DEG+1); + for(I = 0; I <= DEG; I++) + P0[I] = coef(P,I,X); + if(P0[0] == 0) + return 0; + if(subst(P0[0],DX,0) != 0){ + mycat([Q,"is not the exponent at", V])$ + return 0; + } + R = newvect(N+1); + R[0] = 1; + for(I = 1; I <= N; I++){ + for(S = 0, K = 1; K <= DEG && K <= I; K++) + S += mysubst(P0[K],[DX,I-K])*R[I-K]; + S = red(S); + M = mysubst(P0[0],[DX,I]); + if(M != 0){ + R[I] = -red(S/M); + if(R1 != 0){ + for(S = 0, K = 1; K <= DEG && K <= I; K++) + S += mysubst(P0[K],[DX,I-K])*R1[I-K] + + mysubst(P1[K],[DX,I-K])*R[I-K]; + R1[I] = -red(S/M); + } + }else{ + if(S == 0){ + if(R1 != 0){ + for(S = 0, K = 1; K <= DEG && K <= I; K++) + S += mysubst(P0[K],[DX,I-K])*R1[I-K] + + mysubst(P1[K],[DX,I-K])*R[I-K]; + } + if(S == 0) + continue; + } + R1 = newvect(N+1); + for(K = 0; K < I; K++){ + R1[K] = R[K]; + R[K] = 0; + } + R1[I] = 0; + P1 = newvect(DEG); + for(K = 0; K <= DEG; K++) + P1[K] = mydiff(P0[K], DX); + M = mysubst(P1[0],[DX,I]); + if(M == 0){ + cat(["multiple log at ", I])$ + return 0; + } + R[I] = -red(S/M); + } + } + if(R1 != 0) + return [R1, R]; + else + return R; +} + +def chkexp(P,L,V,Q,N) +{ + L = vweyl(L); X = L[0]; DX = L[1]; + P = mysubst(toeul(P,L,V),[DX,DX+Q]); + P = fromeul(P,L,0); + D = mydeg(P,DX); + Z = mindeg(mycoef(P,D,DX), X) - (D-N); + R = []; + for(I = 0; I < Z; I++){ + S = mycoef(P,I,X); + if(S != 0){ + for(J = mydeg(S,DX); J >= 0; J--){ + T = mycoef(S,J,DX); + if(T != 0) + R = cons(T,R); + } + } + } + return R; +} + + +def sqrtrat(P) +{ + if(P==0) return 0; + if(type(P)==3||type(P)==2){ + P=red(P); + if(imag(dn(P))!=0||imag(nm(P))!=0){ + if(imag(dn(P))==0&&real(P)!=0){ + F=red(imag(P)/real(P)); + if(F==3^(1/2)||F==-3^(1/2)){ + if(eval(real(P))<0) + return -real(P)+imag(P)*@i; + else{ + if(eval(imag(P))>0) return imag(P)+real(P)*@i; + else return -imag(P)-real(P)*@i; + } + } + } + return []; + } + F=fctr(dn(P)); + R=sqrtrat(car(F)[0]); + for(F=cdr(F);F!=[];F=cdr(F)){ + if(!iand(car(F)[1],1)) R*=car(F)[0]^(car(F)[1]/2); + else return []; + } + F=fctr(nm(P)); + R=sqrtrat(car(F)[0])/R; + for(F=cdr(F);F!=[];F=cdr(F)){ + if(!iand(car(F)[1],1)) R*=car(F)[0]^(car(F)[1]/2); + else return []; + } + return R; + } + if(ntype(P)==4){ + P0=real(P);P1=imag(P)/2; + X=makenewv(P); + for(R=fctr(X^4-P0*X^2-P1^2);R!=[];R=cdr(R)){ + RT=car(R)[0]; + if(deg(RT,X)==1){ + X=-mycoef(RT,0,X)/mycoef(RT,1,X); + return X+P1/X*@i; + } + if(deg(RT,X)==2){ + if((D=mycoef(RT,1,X)^2-4*mycoef(RT,2,X)*mycoef(RT,0,X))<0) continue; + X=(-mycoef(RT,1,X)+sqrtrat(D))/(2*mycoef(RT,2,X)); + return X+P1*sqrt2rat(1/X)*@i; + } + } + D=P0^2+4*P1^2; + if(P1>0) return ((sqrtrat(D)+P0)/2)^(1/2)+((sqrtrat(D)-P0)/2)^(1/2)*@i; + return ((sqrtrat(D)+P0)/2)^(1/2)-((sqrtrat(D)-P0)/2)^(1/2)*@i; + }else if(ntype(P)!=0) return []; + if(P==1) return P; + Dn=dn(P);Nm=nm(P);C=R=1; + N=pari(factor,Dn); + if(N){ + for(II=car(size(N))-1;II>=0;II--){ + if(iand(K=N[II][1],1)){ + R*=N[II][0]; + K++; + } + C/=N[II][0]^(K/2); + } + } + N=pari(factor,Nm); + if(N){ + for(II=car(size(N))-1;II>=0;II--){ + if(N[II][0]==-1){ + C*=@i; + continue; + } + K=N[II][1]; + if(iand(K,1)){ + R*=N[II][0]; + K--; + } + if(K!=0) C*=N[II][0]^(K/2); + } + } + if(R!=1) C*=R^(1/2); + return C; +} + +def fctri(F) +{ + R=(iscoef(F,os_md.israt))?fctr(F):[[1,1],[F,1]]; + if(!iscoef(F,os_md.iscrat)||chkfun("af_noalg",0)==0) return R; + X=makenewv(vars(F)); + for(S=[];R!=[];R=cdr(R)){ + if(length(Var=vars(R0=car(R)[0])) == 1 && (D=mydeg(R0,Var=car(Var))) > 0){ + if(imag(T=mycoef(R0,D,Var))!=0) R0/=T; + T=af_noalg(real(R0)+imag(R0)*X,[[X,X^2+1]]); + if(length(T)>1||T[0][1]>1){ + T=subst(T,X,@i); + for(; T!=[];T=cdr(T)){ + if(vars(T[0])!=[]) + S=cons([car(T)[0],car(T)[1]*car(R)[1]],S); + } + continue; + } + } + S=cons(R[0],S); + } + return reverse(S); +} + +def getroot(F,X) +{ + S=[]; + if(type(Cpx=getopt(cpx))!=1) Cpx=0; + M=getopt(mult); + if(type(F) == 3) + F = nm(red(F)); + for(R=fctri(F); length(R)>0; R = cdr(R)){ + T=car(R); + P=car(T); + I=car(cdr(T)); + if(mydeg(P,X)>0){ + if(mydeg(P,X)==1){ + C = mycoef(P,1,X); + P = X - red(P/C); + }else if(mydeg(P,X)==2 && Cpx>0){ + C2=mycoef(P,2,X);C1=mycoef(P,1,X);C0=mycoef(P,0,X); + C=sqrt2rat(C1^2-4*C0*C2); + C0=[]; + if(type(C)==0&&ntype(C)==0&&pari(issquare,-C)) C0=sqrt(C); + else if(Cpx>1) C0=sqrtrat(C); + if(C0==[]&&Cpx>2) C0=C^(1/2); + if(C0!=[]){ + if(M==1) + S=cons([I,sqrt2rat((-C1+C0)/(2*C2))],S); + else{ + for(II=I; II>0; II--) + S=cons(sqrt2rat((-C1+C0)/(2*C2)),S); + } + P=sqrt2rat((-C1-C0)/(2*C2)); + } + }else if(mydeg(P,X)==3 && Cpx>1){ + Omg=(-1+3^(1/2)*@i)/2; + PP=P/mycoef(P,3,X); + C2=mycoef(PP,2,X)/3; + PP=subst(PP,X,X-C2); + if((C1=mycoef(PP,1,X))==0){ + C0=mycoef(PP,0,X); + if(real(C0)==0||imag(C0)==0){ + if(real(C0)==0){ + PP=getroot(X^3+imag(C0),X); + if(length(PP)==3){ + for(;PP!=[];PP=cdr(PP)){ + if(imag(PP[0])==0){ + C0=PP[0]*@i; + break; + } + } + if(PP==[]) C0=0; + } + }else{ + if(C0>0) C0=C0^(1/3); + else C0=-(-C0)^(1/3); + } + if(C0!=0){ + if(M==1){ + S=cons([I,C0-C2],S); + S=cons([I,C0*Omg-C2],S); + S=cons([I,C0*(-1-Omg)-C2],S); + }else{ + for(II=I; II>0; II--){ + S=cons(C0-C2,S); + S=cons(C0*Omg-C2,S); + S=cons(C0*(-1-Omg)-C2,S); + } + } + continue; + } + } + } + if(Cpx>2){ + Q=X^2+(mycoef(PP,1,X)/3)*X+mycoef(PP,0,X)^3; + SQ=getroot(Q,X|cpx=2); + SQ=SQ[0]^(1/3);SQ2=mycoef(PP,0,X)/SQ; + if(M==1){ + S=cons([I,SQ+SQ2-C2],S); + S=cons([I,SQ*Omg+SQ2*(-1-Omg)-C2],S); + S=cons([I,SQ*(-1-Omg)+SQ2*Omg-C2],S); + }else{ + for(II=I; II>0; II--){ + S=cons(SQ+SQ2-C2,S); + S=cons(SQ*Omg+SQ2*(-1-Omg)-C2,S); + S=cons(SQ*(-1-Omg)+SQ2*Omg-C2,S); + } + } + continue; + } + }else if(mydeg(P,X)==4 && Cpx>0){ + C2=mycoef(P,3,X)/(4*mycoef(P,4,X)); + PP=subst(P,X,X-C2); + if(mycoef(PP,1,X)==0){ + PP=mycoef(PP,4,X)*X^2+mycoef(PP,2,X)*X+(SQ2=mycoef(PP,0,X)); + SQ=getroot(PP,X|cpx=2); + if(length(SQ)==2){ + if((C0=sqrtrat(SQ[0]))==[]){ + if(mycoef(PP,1,X)==0){ + if(SQ2<0) C0=(-SQ2)^(1/4); + else C0=SQ2^(1/4)*(1+@i)/2; + } + else if(Cpx>2) C0=SQ[0]^(1/2); + else C0=0; + } + if((C1=sqrtrat(SQ[1]))==[]){ + if(mycoef(PP,1,X)==0) C1=-C0; + else C1=SQ[1]^(1/2); + } + if(C0!=0){ + if(M==1) + S=append([[I,C0-C2],[I,-C0-C2],[I,C1-C2],[I,-C1-C2]],S); + else{ + for(II=I; II>0; II--) + S=append([C0-C2,-C0-C2,C1-C2,-C1-C2],S); + } + continue; + } + } + }else{ + PP/=mycoef(PP,4,X); + CC=mycoef(PP,2,X);C1=mycoef(PP,1,X);C0=mycoef(PP,0,X); + SQ=getroot(X*(CC+X)^2-4*C0*X-C1^2,X|cpx=Cpx); + if(length(SQ)>1){ + SQ=sqrt2rat(SQ[0]); + SQ2=getroot(X^2-SQ,X|cpx=Cpx); + if(length(SQ2)>1){ + C1=SQ2[0]*X-C1/SQ2[0]/2; + C0=getroot(X^2+CC/2+SQ/2+C1,X|cpx=Cpx); + C1=getroot(X^2+CC/2+SQ/2-C1,X|cpx=Cpx); + if(length(C0)>1&&length(C1)>1){ + C0=[sqrt2rat(C0[0]-C2),sqrt2rat(C0[1]-C2), + sqrt2rat(C1[0]-C2),sqrt2rat(C1[1]-C2)]; + if(M==1) for(II=0;II<4;II++) S=cons([I,C0[II]],S); + else for(II=I; II>0; II--) S=append(C0,S); + continue; + } + } + } + } + } + if(M==1) + S=cons([I,P],S); + else for( ; I>0; I--) S=cons(P,S); + } + } + S=qsort(S); + if(M==1) S=reverse(S); + return S; +} + +def expat(F,L,V) +{ + L = vweyl(L); + if(V == "?"){ + Ans = []; + + F = nm(red(F)); + S = fromeul(toeul(F,L,"infty"),L,0); + S = mycoef(S,mydeg(S,L[1]),L[1]); + if(mydeg(S,L[0]) > 0) + Ans = cons(["infty", expat(F,L,"infty")],Ans); + + S = mycoef(F,mydeg(F,L[1]), L[1]); + R = getroot(S,L[0]); + for(I = 0; I < length(R); I++){ + if(I > 0 && R[I-1] == R[I]) + continue; + if(mydeg(R[I], L[0]) <= 0) + Ans = cons([R[I], expat(F,L,R[I])], Ans); + else + Ans = cons([R[I]], Ans); + } + return Ans; + } + return getroot(subst(toeul(F,L,V),L[0],0),L[1]); +} + +def polbyroot(P,X) +{ + R = 1; + while(length(P)){ + R *= X-car(P); + if(type(R)>2) R = red(R); + P = cdr(P); + } + return R; +} + +def polbyvalue(P,X) +{ + R = 1; S = 0; + while(length(P)){ + T = car(P); + V0 = T[1] - mysubst(S,[X,T[0]]); + if(V0 != 0){ + if(type(R) > 2) R = red(R); + V1 = mysubst(R,[X,T[0]]); + if(V1 == 0){ + erno(0); + return 0; + } + S += (V0/V1)*R; + if(type(S) > 2) S = red(S); + } + R *= X - T[0]; + P = cdr(P); + } + return S; +} + + +def pcoef(P,L,Q) +{ + if(L==0) + return 1; + Coef=TP=0; + if(type(Q)>=4){ + TP=1; + V=Q[0]; + if(type(V)==4) + V=ltov(V); + else V=dupmat(V); + N=length(V); + if(type(Q[1])==5) MR=dupmat(Q[1]); + else{ + MR=newvect(N); + for(K=Q[1], I=0; I< N; I++){ + MR[I] = car(K); + K = cdr(K); + } + } + }else{ + V=ltov(vars(P)); + N=length(V); + MR=newvect(N); + for(I=0;I<N;I++){ + MR[I]=mydeg(Q,V[I]); + Q=mycoef(Q,MR[I],V[I]); + } + if(type(Q)>1) return 0; + } + if(L==1){ + for(I=0;I<N;I++) + P=mycoef(P,MR[I],V[I]); + return P; + } + for(I=1;I<N;I++){ /* sorted by required degrees */ + for(K1=MR[I],K2=V[I],J=I-1; J>=0 && MR[J]<K1; J--); + for(II=I-1;II>J;II--){ + MR[II+1]=MR[II];V[II+1]=V[II]; + } + MR[II+1]=K1;V[II+1]=K2; + } + for(NN=N; N>0 && MR[N-1]==0; N--); + Mon=[];Coe=[];Q=P; + while(Q!=0){ + M=newvect(N); + for(R=Q,F=I=0,MT=1;I<NN;I++){ + K=mydeg(R,V[I]); + R=mycoef(R,K,V[I]); + if(I<N) M[I]=K; + if(K>0) MT*=V[I]^K; + if(K>MR[I]) F=1; + } + Q -= R*MT; + if(F==0){ + Mon=cons(M,Mon); + Coe=cons(R,Coe); + } + } + Mon=ltov(reverse(Mon)); + Coe=ltov(reverse(Coe)); + Len=length(Mon); + S=newvect(Len); + for(JL=0; JL<Len;JL++){ + if(L*Mon[JL][0]<MR[0]) break; + } + S[0]=L; + + K0=Mon[0][0]; + K=L*K0-MR[0]; + for(I=II=0;II<Len && K>=0;II++){ + if((K1=K0-Mon[0][II])>0){ + while(K>K1 && S[I]>0){ + S[I]--;S[II]++; + K-=K1; + I=II; + K0=Mon[0][II]; + } + }else break; + } + + I=0; + while(1){ + for(T=T0=J=JP=0; J<Len; J++){ + if(S[J]!=0){ + if(T0==0 && J>=JL) return Coef; + JP=J;T0=1; + T+=S[J]*Mon[J][I]; + } + } + if(T==MR[I]){ + if(++I<N) continue; + for(TT=1,J=1; J<=L; J++) /* find a solution */ + TT*=J; + for(J=0;J<Len;J++){ + if(S[J]!=0){ + TT*=Coe[J]^S[J]; + for(II=S[J]; II>1; II--) + TT/=II; + } + } + Coef+=TT; + if(TP==1 && type(Coef)==3) Coef=red(Coef); + if(JP<Len-2 && S[JP]>1){ + S[JP]-=2;S[JP+1]++;S[JP+2]++; + }else{ + for(JT=JP-1;JT>=0&&S[JT]==0;JT--); + if(JT<0) break; + if(JT==JP-1){ + S[JT]--; + if(JP<Len-1) + S[JP+1]++; + else + S[JP]++; + }else{ + S[JT]--; + S[JT+1]+=S[JP]+1; + S[JP]=0; + } + } + I=0; + continue; + } + if(JP<Len-1){ + for(JP1=JP+1;JP1<Len-1;JP1++){ + if(Mon[JP1][I]!=Mon[JP][I]) break; + } + + if(I>0 && Mon[JP1][0] < Mon[JP][0]){ + S[JP]--;S[Len-1]++;JP=JP-1; + }else{ + + S[JP]--; + if(JP1<Len){ + S[JP1]++; + }else{ + S[JP1-1]++; + } + } + } + if(JP==Len-1){ + for(JT=JP-1;JT>=0 && S[JT]==0;JT--); + if(JT<0) break; + S[JT]--; + if(JT==JP-1){ + S[JP]++; + }else{ + S[JT+1]+=S[JP]+1; + S[JP]=0; + } + } + I=0; + } + return Coef; +} + +def prehombf(P,Q) +{ + if((Mem=getopt(mem))!=1 && Mem!=-1) + return prehombfold(P,Q); + if(Q==0) Q=P; + V=ltov(vars(P)); + N=length(V); + for(I=1;I<N;I++){ /* sorted by required degrees */ + for(K=mydeg(P,V[I]),K1=V[I],J=I-1; J>=0 && mydeg(P,V[J])<K; J--); + for(II=I-1;II>J;II--) V[II+1]=V[II]; + V[II+1]=K1; + } + S=newvect(N);T=newvect(N);U=newvect(N); + for(R=P,M=1,Deg=I=0;I<N;I++){ /* extreme vector */ + Deg+=(S[I]=mydeg(R,V[I])); + R=mycoef(R,S[I],V[I]); + } + DR=[[-1,0]]; + if((R1=N/Deg)!=1){ + DR=cons([-R1,0],DR); + Sft=1; + }else Sft=0; + if(Deg%2==0) Sg=1; + else Sg=-1; + for(I=0,R=R2=1,QQ=Q; 2*I+Sft < Deg; I++){ + if(Mem==-1){ + print(I+1,0);print("/",0);print(idiv(Deg-Sft+1,2),0);print(" ",2); + } + Coef=0; + Q=QQ; + while(Q!=0){ + for(R=Q,J=0,RR=1;J<N;J++){ + T[J]=mydeg(R,V[J]); + R=mycoef(R,T[J],V[J]); + if(T[J]>0) RR*=V[J]^T[J]; + } + Q-=R*RR; + for(J=0,CC=R;J<N;J++){ + U[J]=I*S[J]+T[J]; + for(II=0; II<T[J]; II++) + CC*=(U[J]-II); + } + CC*=pcoef(P,I+1,[V,U]); + if(Mem==-1) print("*",2); + Coef+=CC; + } + DR=cons([I,Coef],DR); + DR=cons([-R1-1-I,Sg*Coef],DR); + if(Mem==-1) print(""); + } + P = polbyvalue(DR,s); + return fctr(P); +} + +def prehombfold(P,Q) +{ + V = vars(P); + if(Q==0) Q=P; + for(Deg=0, R=P, V1=V, DD=[]; V1!=[]; V1=cdr(V1)){ + VT = car(V1); + D = mydeg(R,VT); + R = mycoef(R,D,VT); + Deg += D; + X = makev(["d",VT]); + Q = subst(Q,VT,X); + DD=cons([VT,X],DD); + } + DR=[[-1,0]]; + NV=length(V); + if((R1=NV/Deg)!=1){ + DR=cons([-R1,0],DR); + Sft=1; + }else + Sft=0; + if(Deg%2==0) + Sg=1; + else Sg=-1; + for(I = 0, R=R2=1; 2*I+Sft < Deg; I++){ + R = R2; + R2 = R*P; + S = appldo(Q,R2,DD); + QQ = sdiv(S,R); + DR=cons([I,QQ],DR); + DR=cons([-R1-1-I,Sg*QQ],DR); + } + P = polbyvalue(DR,s); + return fctr(P); +} + +def sub3e(P0,P1,P2,N0,N1,N) +{ + R = x^N0*(x-1)^N1*dx^N; + for(V = I = 1, J = 1; I <= N; I++){ + S = 0; + M = N-I; + if(I <= N0){ + T = mycoef(P0,N0-I,x); + S += T; + R += T*x^(N0-I)*(x-1)^N1*dx^M; + K1 = N0-I+1; + }else + K1 = 0; + if(I <= N1){ + T = mycoef(P1,N1-I,x); + S += T; + R += T*x^N0*(x-1)^(N1-I)*dx^M; + K2 = N0-1; + }else + K2 = N-I; + for(K = K1; K <= K2; K++){ + if(K == K2){ + R += (mycoef(P2,N-I,x)-S)*x^K*(x-1)^(M-K)*dx^M; + continue; + } + R += strtov("r"+rtostr(V))*x^K*(x-1)^(M-K)*dx^M; + S += strtov("r"+rtostr(V++)); + } + } + if(V > 1) + mycat([V-1, "accessory parameters: r1,r2,..."]); + return R; +} + +def fuchs3e(P,Q,R) +{ + return getbygrs([R,P,Q],3); +} + +def okubo3e(P,Q,R) +{ + if(getopt(opt)==1){ + N=length(R); + M1=N-length(P);M2=N-length(Q); + V=(M1-1)*(M2-1); + if(V>0) mycat([V, "accessory parameters"]); + return getbygrs([R,cons([M1,0],P),cons([M2,0],Q)],3); + } + S = 0; + V = -1; + L = newvect(3,[[],[],[]]); + N = newvect(3,[0,0,0]); + if(type(R) < 4){ + I = -1; + V = 3; + }else{ + I = 2; + V = -1; + } + for( ; I >= 0; I--){ + if(I == 2) + U = R; + else if(I == 1) + U = Q; + else + U = P; + for( ; length(U); U = cdr(U)){ + T = car(U); + if( T == "?"){ + if(V < 0) + V = I; + else + return 0; + }else{ + if(I == 2) + L[I] = cons(-T, L[I]); + else + L[I] = cons(T, L[I]); + S += T; + } + N[I]++; + } + } + if(V == 3){ + N[2] = N[0] + N[1]; + P2 = x^N; + for(I = 1; I <= N; I++) + P2 += makev([R,I])*x^(N-I); + }else{ + if(N[0]+N[1] != N[2]){ + print("Number of exponents are wrong",0); + return -1; + } + S -= N[0]*N[1]; + if(V < 0){ + if(S != 0){ + mycat(["Viorate Fuchs relation ->",S]); + return -2; + } + }else{ + if(V != 2) + S = -S; + L[V] = cons(S, L[V]); + } + P2 = polinsft(polbyroot(L[2],x),x); + } + P0 = polinsft(mysubst(polbyroot(L[0],x),[x,x+N[1]]),x); + P1 = polinsft(mysubst(polbyroot(L[1],x),[x,x+N[0]]),x); + return sub3e(P0,P1,P2,N[0],N[1],N[2]); +} + +/* N = 2*M (N-M = M) or 2*M+1 (N-M = M+1) + 0 : 0 1 ..... M-1 B B+1 ... B+N-M-2 A + 1 : C C+1 ... C+M-1 0 1 .... N-M-2 N-M-1 + */ +def eosub(A,B,C,N) +{ + M = N%2; + P = []; + Q = []; + P = cons(A,P); + for(I = 0; I < N-M-1; I++) + P = cons(B+I,P); + for(I = 0; I < M; I++) + Q = cons(C+I,Q); + P = okubo3e(P,Q,s); + + C = newvect(2); + L = newvect(2); + C[1] = chkexp(P,[x,dx],0,b,N-M-1); + C[0] = chkexp(P,[x,dx],1,c,M); + for(LL = K = 0; K < 2; K++){ + L[K] = length(C[K]); + C[K] = ltov(C[K]); + if(L[K] > LL) + LL = L[K]; + } + JJ = 0; + + for(I = 1; Do; I++){ + Do = 0; + S = makev(["r",I]); + for(J = JJ; J < LL; J++){ + JJ = LL; + for(K = 0; K < 2; K++){ + if(J >= L[K] || C[K][J] == 0) + continue; + if(J < JJ) + JJ = J; + if(Do == 1){ + CC = C[K]; + CC[J] = mysubst(CC[J], [S, Var]); + continue; + } + if(mydeg(C[K][J]) >= 1){ + if(mydeg(C[K][J]) > 1){ + print("Internal error"); + return; + } + Var = getroot(C[K][J],S); + Var = Var[0]; + CC = C[K]; + CC[J] = 0; + P = mysubst(P, [S, Var]); + Do = 1; + J = JJ - 1; + K++; + } + } + } + } + if(JJ != L){ + print("Internal error (non Rigid)"); + return; + } + return P; +} + +def even4e(X,Y){ + if(length(X) != 4 || length(Y) != 2){ + print("Usage: even4e([a,b,c,d],[e,f])"); + print("0: 0 1 e f"); + print("1; 0 1 * *+1"); + print("infty: a b c d"); + return; + } + S = -3; + for(I = 0; I < 4; I++){ + S += X[I]; + if(I < 2) + S += Y[I]; + } + S = -S/2; + P = okubo3e(Y,[S,"?"],X); + T = chkexp(P,x,1,S,2); + T = getroot(T[0],r1); + return mysubst(P,[r1,T[0]]); +} + +def odd5e(X,Y) +{ + if(length(X) != 5 || length(Y) != 2){ + print("Usage: spec6e([a,b,c,d,e],[f,g])"); + print("0: 0 1 f g g+1"); + print("1: 0 1 2 * *+1"); + print("infty: a b c d e"); + return; + } + S = -4; + for(I = 0; I < 5; I++){ + S += X[I]; + if(I < 2) + S += Y[I]; + } + S = -(S + Y[1])/2; + P = okubo3e([Y[0],Y[1],Y[1]+1],[S,"?"],X); + T = chkexp(P,x,1,S,2); + T = getroot(T[0],r1); + P = mysubst(P,[r1,T[0]]); + T = chkexp(P,x,0,Y[1],2); + T = getroot(T[0],r2); + return mysubst(P,[r2,T[0]]); +} + +def extra6e(X,Y) +{ + if(length(X) != 6 || length(Y) != 2){ + print("Usage: extra6e([a,b,c,d,e,f],[g,h])"); + print("0: 0 1 g g+1 h h+1"); + print("1: 0 1 2 3 * *+1"); + print("infty: a b c d e f"); + return; + } + S = -5; + for(I = 0; I < 6; I++){ + S += X[I]; + if(I < 2) + S += 2*Y[I]; + } + S = -S/2; + P = okubo3e([Y[0],Y[0]+1,Y[1],Y[1]+1],[S,"?"],X); + T = chkexp(P,x,1,S,2); + T = getroot(T[0],r1); + P = mysubst(P,[r1,T[0]]); + T = chkexp(P,x,0,Y[0],2); + T = getroot(T[0],r3); + P = mysubst(P,[r3,T[0]]); + T = chkexp(P,x,0,Y[1],2); + T = getroot(T[0],r2); + return mysubst(P,[r2,T[0]]); +} + +def rigid211(X,Y,Z) +{ + if(length(X) != 2 || length(Y) != 2 || length(Z) != 2){ + print("Usage: rigid211([a,b],[c,d],[e,f])"); + print("0: 0 1 a b"); + print("1: 0 1 c d"); + print("infty: e e+1 f *"); + return; + } + P = okubo3e(X,Y,[Z[0],Z[0]+1,Z[1],"?"]); + T = chkexp(P,x,"infty",Z[0],2); + T = getroot(T[0],r1); + return mysubst(P,[r1,T[0]]); +} + +def solpokuboe(P,L,N) +{ + if(type(N) > 1 || ntype(N) != 0 || dn(N) != 1){ + mycat(["Irrigal argument :", N]); + return 0; + } + L = vweyl(L); + DD=N+1; + for(U = S = L[0]^N; U != 0; ){ + D = mydeg(U,L[0]); + if(D>=DD){ + mycat(["Internal Error",D,DD]); + return -1; + } + DD=D; + UU = L[0]^D; + R = appldo(P,UU,L); + if(mydeg(R,L[0]) > D){ + printf("Bad operator\n"); + return 0; + } + CC = mycoef(R,D,L[0]); + if(D == N){ + P -= (E = CC); + U = R-E*U; + continue; + } + if(CC == 0){ + printf("No polynomial\n"); + return 0; + } + CC= mycoef(U,D,L[0])/CC; + S = red(S - UU*CC); + U = red(U - R*CC); + } + return [nm(S),E]; +} + +def stoe(M,L,N) +{ + L = vweyl(L); + Size = size(M); + S = Size[0]; + NN = 0; + if(type(N) == 4){ + NN=N[0]; N=N[1]; + }else if(N < 0){ + NN=-N; N=0; + } + if(S != Size[1] || N >= S || NN >= S) + return; + D = newmat(S+1,S+1); + MN = dupmat(M); + MD = newmat(S,S); + DD = D[0]; + DD[N] = 1; DD[S] = 1; + for(Lcm = I = 1; ; ){ + DD = D[I]; + MM = MN[N]; + for(J = 0; J < S; J++){ + DD[J] = MM[J]; + Lcm = lcm(dn(DD[J]),Lcm); + } + DD[S] = L[1]^I; + for(J = 0; J <= S; J++) + DD[J] = red(DD[J]*Lcm); + if(I++ >= S) + break; + if(I==S && NN>0){ + DD = D[I]; + DD[0]=-z_zz; DD[NN]=1; + break; + } + Mm = dupmat(MN*M); + for(J = 0; J < S; J++){ + for(K = 0; K < S; K++) + MN[J][K] = red(diff(MN[J][K],L[0])+Mm[J][K]); + } + } +#if 0 + P = fctr(mydet2(D)); +#else + P = fctr(det(D)); +#endif + for(I = R = 1; I < length(P); I++){ + if(mydeg(P[I][0],L[1]) > 0) + R *= P[I][0]^P[I][1]; + } + if(NN > 0) + R = -red(coef(R,0,z_zz)/coef(R,1,z_zz)); + return R; +} + +def dform(L,X) +{ + if(type(X)==2) X=[X]; + if(type(L[0])!=4) L=[L]; + if(type(X)==4) X=ltov(X); + M=length(X); + if(length(car(L))==2){ + R=newvect(M); + for(LL=L; LL!=[]; LL=cdr(LL)){ + for(I=0; I<M; I++){ + RT=rmul(car(LL)[0],mydiff(car(LL)[1],X[I])); + R[I] = (R[I]==0)?RT:radd(R[I],RT); + } + } + Dif=getopt(dif); + for(RR=[], I=M-1; I>=0; I--){ + if(Dif==1) RR=cons([1,R[I],X[I]],RR); + else RR=cons([R[I],X[I]],RR); + } + if(Dif==1) RR=dform(RR,X); + return RR; + }else if(length(car(L))!=3) return L; + N=M*(M-1)/2; + R=newvect(N); + S=newvect(N); + for(LL=L; LL!=[]; LL=cdr(LL)){ + for(I=K=0; I<M; I++){ + for(J=I+1; J<M; J++, K++){ + if(LL==L) S[K]=[X[I],X[J]]; + LT=car(LL); + R1=mydiff(LT[2],X[J]); + R2=mydiff(-LT[2],X[I]); + if(R2==0){ + if(R1==0) continue; + R1=rmul(mydiff(LT[1],X[I]),R1); + }else if(R1==0){ + R1=rmul(mydiff(LT[1],X[J]),R2); + }else + R1=rmul(mydiff(LT[1],X[I]),R1)+rmul(mydiff(LT[1],X[J]),R2); + R1=rmul(LT[0],R1); + R[K] = (R[K]==0)?R1:radd(R[K],R1); + } + } + } + for(RR=[],I=N-1; I>=0; I--) + RR=cons([R[I],S[I][0],S[I][1]],RR); + return RR; +} + +def polinvsym(P,Q,Sym) +{ + N = length(Q); + T = polbyroot(Q,zz); + for(I = 1; I <= N; I++){ + P = mysubst(P,[makev([Sym,I]), (-1)^I*coef(T,N-I,zz)]); + } + return P; +} + +def polinsym(P,Q,Sym) +{ + if(type(P) == 3){ + P = red(P); + if(type(P) == 3){ + D = polinsym(dn(P),Q,Sym); + if(D == 0) + return 0; + return polinsym(nm(P),Q,Sym)/D; + } + } + N = length(Q); + V = newvect(N+1); + S = newvect(N+1); + E = newvect(N+1); + E0 = newvect(N+1); + T = polbyroot(Q,zzz); + for(J = 1; J <= N; J++){ + K = coef(T,N-J,zzz); + if(J % 2) + K = -K; + S[J] = K; + V[J] = makev([Sym,J]); + } + K = deg(P,Q[0]); + for(J = 0; J <= N; J++) + E0[J] = K+1; + E[0] = K+1; + while(deg(P,Q[0]) > 0){ + for(P0 = P, J = 1; J <= N; J++){ + E[J] = deg(P0,Q[J-1]); + P0 = coef(P0,E[J],Q[J-1]); + } + /* P0*Q[0]^E[1]*Q[1]^E[2]*... E[1] >= E[2} >= ... */ + for(J = 1; J <= N; J++){ + if(E[J] < E0[J]) + break; + if(E[J-1] < E[J]) + J = N; + } + if(J > N){ + print("Not symmetric"); + return 0; + } + for(J = 1; J <= N; J++) + E0[J] = E[J]; + for(J = N; J > 1; J--){ + if(E[J] != 0) + for(K = 1; K < J; K++) + E[K] -= E[J]; + } + for(R0 = P0, K = 1; K <= N; K++){ + if(E[K] > 0) + P0 *= S[K]^E[K]; + R0 *= V[K]^E[K]; + } + P += R0 - P0; + } + return P; +} + +def tohomog(P,L,V) +{ + while(length(L)>0){ + P = mysubst(P,[car(L),car(L)/V]); + L = cdr(L); + } + P = red(P); + N = mindeg(dn(P),V); + if(N > 0) + P = red(P*V^N); + N = mindeg(dn(P),V); + if(N > 0) + P = red(P/(V^N)); + return P; +} + +def substblock(P,X,Q,Y) +{ + P = red(P); + if(deg(dn(P),X) > 0) + return substblock(nm(P),X,Q,Y)/substblock(dn(P),X,Q,Y); + N = mydeg(Q,X); + if(N < 1) + return P; + R = mycoef(Q,N,X); + while(M = mydeg(P,X), M >= N) + P = red(P - mycoef(P,M,X)*(Q-Y)*X^(M-N)/R); + return P; +} + +def okuboetos(P,L) +{ + L = vweyl(L); X = L[0]; DX = L[1]; + N = mydeg(P,DX); + C = mycoef(P,N,DX); + K = mydeg(C,X); + if(K > N){ + print("Irregular singularity at infinity")$ + return 0; + } + if(N > K) + P *= x^(N-K); + + L = getroot(mycoef(P,N,DX),x); + L = ltov(reverse(L)); + if(length(L) != N || N == 0){ + print("Cannot get exponents")$ + return 0; + } + if( type(LL = getopt(diag)) == 4 ){ + LL = ltov(LL); + if(length(LL) != N){ + mycat(["Length of the option should be", N]); + return 0; + } + Tmp = newvect(N); + for(I = N-1; I >= 0; I--){ + for(LLT = LL[I], J = N-1; J >=0 ; J--){ + if(LLT == L[J] && Tmp[J] == 0){ + Tmp[J] = 1; + break; + } + } + if(J < 0){ + print("option is wrong"); + return 0; + } + } + L = LL; + } + P /= mycoef(C,N,X); + A = newmat(N,N); + AT = newmat(N+1,N+1); + Phi= newvect(N+1); + Phi[0] = 1; + for(J = 0; J < N; J++) + Phi[J+1] = Phi[J]*(X-L[J]); + for(ATT = AT[N], J = 0; J < N; J++) + ATT[J] = mycoef(P,J,DX); + + for(K = 1; K <= N; K++){ + for(J = N; J >= K; J--){ + Aj = A[J-1]; + SIG = AT[J][J-K]; + for(I = 0; I <= K-2; I++) + SIG += Aj[J-I-1]*AT[J-I-1][J-K]; + if(K == 1) + DAT = mydiff(Phi[J-1],X); + else + DAT = mydiff(AT[J-1][J-K],X); + Aj[J-K] = -SIG+(X-L[J-1])*DAT; + Aj[J-K] /= Phi[J-K]; + Aj[J-K] = mysubst(Aj[J-K],[X,L[J-1]]); + if(J < K+1) continue; + ATj = AT[J-1]; + ATj[J-K-1] = SIG+Aj[J-K]*Phi[J-K]; + ATj[J-K-1] /= (X - L[J-1]); + ATj[J-K-1] = red(ATj[J-K-1]-DAT); + } + } + + ATT = newmat(N,N); + for(J = 0; J < N; J++){ + for(K = 0; K < N; K++){ + ATj = ATT[J]; + ATj[K] = AT[J][K]; + } + ATj[J] = Phi[J]; + if(J < N-1){ + ATj = A[J]; + ATj[J+1] = 1; + } + } + return [L,A,ATT]; +} + +def heun(X,P,R) +{ + if(type(X) != 4 || length(X) != 5){ + print("Usage: huen([a,b,c,d,e],p,r)"); + print("0: 0 c"); + print("1: 0 d"); + print("p: 0 e"); + print("infty: a b"); + print("Fuchs relation: a+b+1 = c+d+e"); + return; + } + S = 1; + V = -1; + X = ltov(X); + for(I = 0; I < 5; I++){ + if(X[I] == "?"){ + if(V >= 0) + return; + V = I; + }else if(I < 2){ + S += X[I]; + }else + S -= X[I]; + } + if(V >= 0){ + if(V < 2) + X[V] = -S; + else + X[V] = S; + }else if(S != 0){ + mycat(["Fuch relation:", S,"should be zero!"]); + return; + } + return + x*(x-1)*(x-P)*dx^2 + + (X[2]*(x-1)*(x-P)+X[3]*x*(x-P)+X[4]*x*(x-1))*dx + + X[0]*X[1]*(x-R); +} + +def fspt(M,T) +{ + if(type(M)==7) M=s2sp(M); + if(T == 3) /* 3: cut 0 */ + return cutgrs(M); + if(T == 4 || T== 5){ /* 4: short 5: long */ + for(MN = [] ; M != []; M = cdr(M)){ + MT = car(M); + for(MNT = []; MT != []; MT = cdr(MT)){ + if(type(car(MT)) <= 3){ + if(T == 4) MNT = cons(car(MT),MNT); + else MNT = cons([1,car(MT)],MNT); + }else{ + if(T == 5 || car(MT)[0] > 1) MNT = cons(car(MT),MNT); + else if(car(MT)[0] == 1) MNT = cons(car(MT)[1],MNT); + } + } + MN = cons(reverse(MNT), MN); + } + return reverse(MN); + } + if(type(M[0][0]) == 4){ + for(MN = [] ; M != []; M = cdr(M)){ + MT = car(M); + for(MNT = []; MT != []; MT = cdr(MT)) + MNT = cons(car(MT)[0], MNT); + MN = cons(reverse(MNT), MN); + } + return fspt(reverse(MN),T); + } + if(T == 0) /* 0: sp */ + return M; + for(MN = [] ; M != []; M = cdr(M)){ + MT = qsort(ltov(car(M))); + L = length(MT); + for(MNT = [], I = 0; I < L; I++) + MNT = cons(MT[I], MNT); + MN = cons(MNT, MN); + } + MN = reverse(MN); + if(T==6) return MN; /* 7: sort */ + L = length(MN); + for(M = MN; M != []; M = cdr(M)){ + for(I = 0, MT = car(M); MT != []; MT = cdr(MT)) + I += car(MT); + if(OD == 0) + OD = I; + else if(OD != I || OD == 0) + return 0; + } + ALL = [MN]; + RD=[]; + while(OD > 0){ + for(S = 0, MT = MN; MT != []; MT = cdr(MT)) + S += car(MT)[0]; + S -= (L-2)*OD; + if(S <= 0){ + if(T==7) return [ALL[0],ALL[length(ALL)-1],RD]; + return (T==1)?MN:ALL; + } + RD=cons([S,0,0],RD); + for(NP=0, M = [], MT = MN; MT != []; NP++, MT = cdr(MT)){ + MTT = car(MT); + I = MTT[0] - S; + if(I < 0){ + if(I+OD!=0) return 0; + if(T==7) return [ALL[0],ALL[length(ALL)-1],cdr(RD)]; + return (T==1)?MN:ALL; + } + MTT = cdr(MTT); + NC=1; DO=0; + for(MNT = []; MTT != []; MTT = cdr(MTT)){ + if(MTT[0] > I){ + if(DO==0) RD=cons([MTT[0]-I,NP,NC++],RD); + MNT = cons(MTT[0], MNT); + } + else if(MTT[0] <= I && I != 0){ + DO=1; + MNT = cons(I, MNT); + I = 0; + if(MTT[0] > 0) + MNT = cons(MTT[0], MNT); + } + } + if(I > 0) + MNT = cons(I,MNT); + M = cons(reverse(MNT), M); + } + MN = reverse(M); + ALL = cons(MN,ALL); + OD -= S; + } +} + +def abs(X) +{ + if(vars(X)!=[]) return todf(os_md.abs,[X]); + if(type(X)==4){ + P=X[1];X=X[0]; + }else P=0; + if(type(X)==1){ + if((T=ntype(X))<2 || T==3){ + if(X<0) X=-X; + }else if(T==4) X=P?pari(abs,X,P):pari(abs,X); + } + return X; +} + +def sgn(X) +{ + if(X==0) return 0; + if(type(X)==1){ + return (X>0)?1:-1; + } + if(type(X)==5) X=vtol(X); + if(type(X)==4){ + for(W=0,Y=X;Y!=[];Y=cdr(Y)) + for(Z=cdr(Y);Z!=[];Z=cdr(Z)) + if(car(Y)>car(Z)) W++; + if(getopt(val)==1) return W; + return (iand(W,1))?-1:1; + } +} + +def calc(X,L) +{ + if(type(X)<4||type(X)==7){ + if(type(L)==4||type(L)==7){ + V=L[1]; + if(type(X)!=7){ + if((L0=L[0])=="+") X+=V; + else if(L0=="-") X-=V; + else if(L0=="*") X*=V; + else if(L0=="/") X/=V; + else if(L0=="^") X^=V; + } + if((L0=L[0])==">") X=(X>V); + else if(L0=="<") X=(X<V); + else if(L0=="=") X=(X==V); + else if(L0==">=") X=(X>=V); + else if(L0=="<=") X=(X<=V); + else if(L0=="!=") X=(X!=V); + }else if(type(L)==7&&type(X)<4){ + if(L=="neg") X=-X; + else if(L=="abs") X=abs(X); + else if(L=="neg") X=-X; + else if(L=="sqr") X*=X; + else if(L=="inv") X=1/X; + else if(L=="sgn"){ + if(X>0)X=1; + else if(X<0) X=-1; + } + } + } + return X; +} + +def isint(X) +{ + if(X==0||(type(X)==1 && ntype(X)==0 && dn(X)==1)) return 1; + return 0; +} + +def israt(X) +{ + if(X==0||(type(X)==1 && ntype(X)==0)) return 1; + return 0; +} + +def iscrat(X) +{ + if(X==0 || (type(X)==1 && israt(real(X)) && israt(imag(X)))) return 1; + return 0; +} + +def isalpha(X) +{ + return ((X>64&&X<91)||(X>96&&X<123))?1:0; +} + +def isnum(X) +{ + return (X>47&&X<58)?1:0; +} + +def isalphanum(X) +{ + return (isalpha(X)||isnum(X))?1:0; +} + +def isdecimal(X) +{ + if(type(X)!=7) return 0; + F=S=0; + L=strtoascii(X); + while(L!=[]&&car(L)==32) L=cdr(L); + if(L!=[]&&car(L)==45) L=cdr(L); /* - */ + while(L!=[]&&isnum(car(L))){ + F=1; L=cdr(L); + } + while(L!=[]&&car(L)<33){ + S=1;L=cdr(L); + } + if(L==[]) return F; + else if(S||car(L)!=46) return 0; /* . */ + L=cdr(L);F=0; + while(L!=[]&&isnum(car(L))){ + F=1; L=cdr(L); + } + while(L!=[]&&car(L)<33) L=cdr(L); + return (L==[])?F:0; +} + +def isvar(X) +{ + return ([X]==vars(X)&&vtype(X)<3)?1:0; +} + +def isyes(F) +{ + if((CC=getopt(set))==1){ + IsYes=(type(F[0])==4)?F:[F]; + return 1; + }else if(CC==0) return(IsYes); + if(type(CC)!=7) + CC=IsYes; + for(;CC!=[]; CC=cdr(CC)){ + C=car(CC); + V=call(C[0],cons(F,C[1])); + if(type(C[2])!=4){ + if(V!=C[2]) break; + }else{ + if(C[2][0]!="" && V<C[2][0]) break; + if(C[2][1]!="" && V>C[2][1]) break; + } + } + return (CC==[])?1:0; +} + +def isall(FN,M) +{ + if(type(M)<4 || type(M)>6) return ((*FN)(M)==0)?0:1; + if(type(M)==4){ + for(;M!=[];M=cdr(M)) + if((*FN)(car(M))==0) return 0; + }else if(type(M)==5){ + K=length(M); + for(I=0;I<K;I++) + if((*FN)(M[I])==0) return 0; + }else if(type(M)==6){ + K=size(M)[0]; + for(I=0;I<K;I++) + if (isall(FN,M[I])==0) return 0; + } + return 1; +} + +def sproot(MP,T) +{ + if((I=str_chr(T,0,","))>0){ + if(type(MP)==7) M=s2sp(MP); + else M=chkspt(MP|opt=0); + if(I==length(M[0])){ + N=s2sp(T);S=SM=SN=K=0; + for(MM=M,NN=N;MM!=[];MM=cdr(MM),NN=cdr(NN),K++){ + for(MT=car(MM),NT=car(NN);MT!=[];MT=cdr(MT),NT=cdr(NT)){ + S+=car(MT)*car(NT); + if(K==0){ + SM+=car(MT);SN+=car(NT); + } + } + } + return S-(length(M)-2)*SM*SN; + } + } + MM=chkspt(MP|opt=7); + if(T=="base") return MM; + Keep=(getopt(keep)==1)?1:0; + Null=getopt(null); + Only=getopt(only); + if(type(Only)!=1) Only=7; + M0=MM[0]; + M1=MM[1]; + M=MM[2]; + if(T=="length") return length(M); + if(T=="height"){ + for(J=2,S=M1[0][0],M2=M1; M2!=[]; M2=cdr(M2)){ + for(MT=cdr(car(M2)); MT!=[]; J++, MT=cdr(MT)){ + S+= J*car(MT); + } + J=1; + } + return S; + } + for(OD=0, MT=M1[0]; MT!=[]; MT=cdr(MT)) OD+=car(MT); + if(T=="type"){ + R=newvect(OD+1); + for(MT=M; MT!=[]; MT=cdr(MT)) R[MT[0][0]]++; + for(RR=[],I=OD; I>0; I--) + if(R[I]>0) RR=cons([R[I],I],RR); + return RR; + } + if(T=="part"||T=="pair"||T=="pairs"){ + NP=length(M1); + LM=newvect(NP); + R=newvect(length(M)); + for(K=0; K<NP; K++) LM[K]=length(M1[K]); + for(I=0,TM=M; TM!=[]; I++, TM=cdr(TM)){ + V=newvect(NP); + for(K=0; K<NP; K++) V[K]=newvect(LM[K]); + TP=car(TM); + if(TP[2]==0){ + for(K=0;K<NP;K++) V[K][0]=1; + for(J=0; J<I; J++){ + VJ=R[J][1]; + for(S=K=0;K<NP;K++) S+=VJ[K][0]; + for(OD=0,K=0;K<LM[0];K++) OD+=VJ[0][K]; + S-=(NP-2)*OD; + for(K=0;K<NP;K++) VJ[K][0]-=S; + } + }else{ + K=TP[1]; P=TP[2]; + V[K][P-1]=-1; V[K][P]=1; + for(J=0; J<I; J++){ + VJ=R[J][1]; + S=VJ[K][P]; VJ[K][P]=VJ[K][P-1]; VJ[K][P-1]=S; + } + } + R[I]=[TP[0],V]; + } + if(T=="pair"||T=="pairs"){ + MV=ltov(M1); + for(K=0; K<NP; K++) MV[K] = ltov(MV[K]); + for(RR=UU=SS=[],I=0; I<length(M); I++){ + V=newvect(NP); W=newvect(NP); U=newvect(NP); + for(K=0; K<NP; K++){ + U[K]=newvect(LM[K]); V[K]=newvect(LM[K]); W[K]=newvect(LM[K]); + } + S=R[I][0]; + for(K=0; K<NP; K++){ + for(Q=J=0; J<LM[K]; J++){ + V[K][J] = S*(U[K][J] = R[I][1][K][J]); + Q+=(W[K][J] = MV[K][J] - V[K][J]); + } + } + if(Q>0 && iand(Only,1)==0) continue; + if(Q==0 && iand(Only,2)==0) continue; + if(Q<0 && iand(Only,4)==0) continue; + for(K=0; K<NP; K++){ + V[K] = vtol(V[K]); W[K] = vtol(W[K]); U[K]=vtol(U[K]); + } + V=vtol(V); W=vtol(W);U=vtol(U); + if(Q<0) S=-S; + RR = cons([V,W], RR); UU = cons(U,UU); SS=cons(S,SS); + } + RR = reverse(RR); UU=reverse(UU); SS=reverse(SS); + if(getopt(dviout)==1 && (Null!=1 || RR!=[])){ + Out=string_to_tb("\\begin{align}\\begin{split}"+s2sp(M1)+"&="); + for(I=0,R=RR, U=UU; R!=[]; I++, R=cdr(R), U=cdr(U)){ + if(I>0) str_tb("\\\\\n &=",Out); + if(T=="pairs"){ + if((S=SS[I])<0) S=-S; + if(S>1) str_tb([my_tex_form(S),"("],Out); + str_tb(s2sp(car(U)),Out); + if(S>1) str_tb(")",Out); + str_tb(" \\oplus ",Out); + if(SS[I]<0){ +#ifdef USEMODULE + str_tb(["-(",s2sp(mtransbys(os_md.abs,car(R)[1],[])),")"],Out); +#else + str_tb(["-(",s2sp(mtransbys(abs,car(R)[1],[])),")"],Out); +#endif + }else + str_tb(s2sp(car(R)[1]),Out); + }else + str_tb([s2sp(car(R)[0])," \\oplus ",s2sp(car(R)[1])],Out); + } + str_tb("\n\\end{split}\\end{align}",Out); + dviout(str_tb(0,Out)|keep=Keep); + } + return RR; + } + for(I=0; I<length(M); I++){ + for(K=0; K<NP; K++) R[I][1][K] = vtol(R[I][1][K]); + R[I] = [R[I][0],vtol(R[I][1])]; + } + R = vtol(R); + return [M0,M1,R]; + } +} + +def spgen(MO) +{ + Eq=(getopt(eq)==1)?1:0; + Sp=getopt(sp); + if(type(Sp)==7) Sp=s2sp(Sp); + St=getopt(str); + LP=getopt(pt); + F=getopt(std); + if(F!=1&&F!=-1) F=0; + if(type(LP)==4){ + L0=LP[0]; L1=LP[1]; + }else{ + L0=0; L1=MO+1; + } + if(MO<=0){ + MO=-MO; + if(iand(MO,1)==1) return []; + if(MO>1){ + if(isMs()==0) return []; + Cmd="okubo "+rtostr(-MO); + MO/=2; + if(L1>0) Cmd=Cmd+"+"+rtostr(L0)+"-"+rtostr(L1); + else L1=MO+4; + Cmd=Cmd+" B"; + Id=getbyshell(Cmd); + if(Id<0) return []; + B=[]; + while((S=get_line(Id)) !=0){ + P0=str_chr(S,1,":")+1; + if(P0>1){ + P1=str_chr(S,P,"\n"); + if(P1<0) P1=str_len(S); + B=cons(sub_str(S,P0,P1-1),B); + } + } + close_file(Id); + }else{ + MO/=2; + if(L1<=1) L1=MO+4; +BB=[ +["11,11,11,11","111,111,111","1^4,1^4,22","1^6,222,33"], +["11,11,11,11,11","1^4,1^4,211","211,22,22,22","1^6,2211,33", +"2211,222,222","22211,2^4,44","2^511,444,66","1^4,22,22,31", +"2^5,3331,55","1^5,1^5,32","1^8,332,44","111,111,21,21","1^5,221,221"], +["11,11,11,11,11,11","1^4,1^4,1^4","1^4,22,22,22","111,111,111,21", +"1^6,21^4,33","21^4,222,222","221^4,2^4,44","2^41^4,444,66", +"1^5,1^5,311","1^8,3311,44","1^6,222,321","321,33,33,33", +"3321,333,333","33321,3^4,66","3^721,666,99","2^5,3322,55", +"1^6,1^6,42","222,33,33,42","1^a,442,55","1^6,33,33,51", +"222,222,33,51","1^9,333,54","2^7,554,77","1^5,2111,221", +"2^41,333,441","1^7,2221,43","211,211,22,22","2211,2211,222", +"22211,22211,44","1^4,211,22,31","2^411,3331,55","1^4,1^4,31,31", +"22,22,22,31,31","1^7,331,331","2221,2221,331","111,21,21,21,21"], +["11,11,11,11,11,11,11","111,111,111,111","1^6,1^6,33", +"1^6,222,222","222,33,33,33","1^5,1^5,221", +"1^4,211,22,22","1^4,1^4,22,31","22,22,22,22,31", +"111,111,21,21,21","21^6,2^4,44","2221^6,444,66", +"1^6,222,3111","3111,33,33,33","33111,333,333", +"333111,3^4,66","3^5111,666,99","2^5,33211,55", +"1^8,3221,44","3222,333,333","33222,3^4,66", +"3^4222,666,99","1^6,1^6,411","222,33,33,411", +"1^a,4411,55","2^4,2^4,431","431,44,44,44", +"2^6,4431,66","4431,444,444","44431,4^4,88", +"4^531,888,cc","1^a,433,55","1^7,1^7,52", +"1^c,552,66","3^4,444,552","1^8,2^4,53", +"1^8,44,44,71","3^5,555,771","21^4,2211,222", +"221^4,22211,44","2221^4,3331,55","1^6,2211,321", +"2^411,3322,55","1^7,322,331","2211,33,33,42", +"3^42,4442,77","2211,222,33,51","3^51,5551,88", +"2^611,554,77","2221,2221,322","2^41,2^41,54", +"1^5,2111,2111","222111,333,441","1^7,22111,43", +"1^5,1^5,41,41","1^9,441,441","22111,2221,331", +"1^5,221,32,41","221,221,221,41","211,211,211,22", +"2211,2211,2211","1^4,211,211,31","211,22,22,31,31", +"1^4,22,31,31,31","1^5,32,32,32","221,221,32,32","21,21,21,21,21,21"], +["11,11,11,11,11,11,11,11","1^4,1^4,22,22","1^8,2^4,44", +"1^6,2211,222","2211,33,33,33","111,111,111,21,21", +"1^5,1^5,2111","1^4,211,211,22","1^4,1^4,211,31", +"211,22,22,22,31","1^4,22,22,31,31","111,21,21,21,21,21", +"221^8,444,66","2^5,331^4,55","1^8,32111,44", +"32211,333,333","332211,3^4,66","3^42211,666,99", +"2^5,32221,55","1^7,1^7,511","1^c,5511,66", +"3^4,444,5511","541,55,55,55","5541,555,555", +"55541,5^4,aa","5^541,aaa,ff","1^8,1^8,62", +"1^a1^4,662,77","1^a,55,55,91","2^71,555,87", +"21^6,22211,44","221^6,3331,55","1^6,2211,3111", +"2^411,33211,55","1^7,3211,331","2211,33,33,411", +"3^42,44411,77","22211,2^4,431","2^511,4431,66", +"1^8,332,431","3^42,4433,77","1^8,22211,53", +"2221,2221,3211","221^5,333,441","1^7,21^5,43", +"1^b,443,65","21^5,2221,331","2^51,3332,65", +"21^4,21^4,222","221^4,221^4,44","1^6,21^4,321", +"2221^4,3322,55","21^4,33,33,42","21^4,222,33,51", +"2^51^4,554,77","2^4,3311,3311","3^411,4442,77", +"321,321,33,33","3321,3321,333","33321,33321,66", +"222,321,33,42","1^6,321,33,51","222,222,321,51", +"1^9,3321,54","1^7,322,322","3^422,5551,88", +"1^6,33,42,42","1^6,222,42,51","33,33,33,42,51", +"1^6,1^6,51,51","222,33,33,51,51","1^b,551,551", +"1^5,221,311,41","2^41,3321,441","22111,2221,322", +"2^51,443,551","222111,2^41,54","21^4,2211,2211", +"1^5,311,32,32","3331,3331,442","2211,2211,33,51", +"221,221,311,32","22111,22111,331","1^5,2111,32,41", +"2111,221,221,41","2111,221,32,32","211,211,211,211", +"211,211,22,31,31","1^4,211,31,31,31","22,22,31,31,31,31"], +["11,11,11,11,11,11,11,11,11","1^5,1^5,1^5","2^5,2^5,55", +"111,111,111,111,21","2^41,333,333","1^4,1^4,211,22", +"211,22,22,22,22","1^8,22211,44","1^4,1^4,1^4,31", +"1^4,22,22,22,31","1^7,1^7,43","1^7,2221,331", +"2221,2221,2221","1^6,21^4,222","21^4,33,33,33", +"1^6,1^6,321","222,321,33,33","1^6,33,33,42", +"222,222,33,42","1^6,222,33,51","222,222,222,51", +"33,33,33,33,51","1^6,2211,2211","111,111,21,21,21,21", +"1^5,1^5,32,41","1^5,221,221,41","1^5,221,32,32", +"221,221,221,32","1^4,211,211,211","211,211,22,22,31", +"1^4,211,22,31,31","1^4,1^4,31,31,31","22,22,22,31,31,31", +"21,21,21,21,21,21,21","21^a,444,66","1^8,31^5,44", +"321^4,333,333","3321^4,3^4,66","3^421^4,666,99", +"2^5,322111,55","32^41,3^4,66","3332^41,666,99", +"1^8,1^8,611","2^4,44,44,611","1^d,6611,77", +"4^5,66611,aa","2^6,444,651","3^4,3^4,651", +"651,66,66,66","3^6,6651,99","6651,666,666", +"66651,6^4,cc","6^551,ccc,ii","2^8,655,88", +"1^9,1^9,72","1^g,772,88","1^c,444,75", +"2^6,3^4,75","1^c,66,66,b1","3^4,444,66,b1", +"3^7,777,ba","1^7,2221,4111","2^41,333,4311", +"1^9,2^41,63","21^8,3331,55","2^411,331^4,55", +"1^7,31^4,331","2^411,32221,55","22211,2^4,422", +"2^511,4422,66","1^8,332,422","2^5,3331,541", +"22211,44,44,62","2^411,2^5,64","2^711,664,88", +"1^a,3331,64","2221,2221,31^4","21^7,333,441", +"333,333,441,81","2^6111,555,87","21^6,221^4,44", +"221^6,3322,55","2^41^6,554,77","1^6,21^4,3111", +"3111,321,33,33","33111,3321,333","333111,33321,66", +"222,3111,33,42","1^6,3111,33,51","222,222,3111,51", +"1^9,33111,54","2221^4,33211,55","1^7,3211,322", +"3^4211,5551,88","2^4,3221,3311","333221,4442,77", +"3222,3321,333","33222,33321,66","1^9,3222,54", +"21^4,33,33,411","3^411,44411,77","222,321,33,411", +"1^6,33,411,42","1^6,222,411,51","33,33,33,411,51", +"221^4,2^4,431","2^41^4,4431,66","1^8,3311,431", +"3^411,4433,77","33321,444,552","1^8,221^4,53", +"3311,44,44,53","4^42,5553,99","2^4,3311,44,71", +"3^421,555,771","4^52,7771,bb","3^611,776,aa", +"2^41,33111,441","22111,2221,3211","2^41,3222,441", +"2^61,4441,76","3331,3331,4411","22211,22211,431", +"3331,3331,433","3^41,3^41,76","1^7,1^7,61,61", +"1^d,661,661","21^5,2221,322","221^5,2^41,54", +"2^51,33311,65","21^5,22111,331","3^41,4441,661", +"1^7,331,43,61","2221,2221,43,61","2221,331,331,61", +"21^4,21^4,2211","21^4,2211,33,51","22211,3311,3311", +"1^5,311,311,32","2211,321,33,42","2211,222,321,51", +"3322,3331,442","2211,222,42,42","2^411,442,442", +"1^6,2211,42,51","2211,33,33,51,51","221,221,311,311", +"1^5,2111,311,41","222111,3321,441","22111,22111,322", +"222111,222111,54","2111,221,311,32","2111,2111,221,41", +"1^5,221,41,41,41","2221,43,43,43","1^5,32,32,41,41", +"331,331,43,43","221,221,32,41,41","221,32,32,32,41", +"211,211,211,31,31","211,22,31,31,31,31","1^4,31,31,31,31,31"]]; + B=BB[MO]; + } + if(St!=1){ + for(R=[]; B!=[]; B=cdr(B)){ + RT=F?s2sp(car(B)|std=F):s2sp(car(B)); + if(length(RT)<L0 || length(RT)>L1) continue; + R=cons(RT,R); + } + return reverse(R); + }else{ + if(L0<=3 && L1>=MO+4) return B; + for(R=[]; B!=[]; B=cdr(B)){ + RT=s2sp(T=car(B)); + if(length(RT)<L0 || length(RT)>L1) continue; + if(F) T=s2sp(s2sp(T|std=K)); + R=cons(T,R); + } + return reverse(R); + } + } + MP=(L1<MO+1)?L1:MO+1; + LL=newvect(MO+1); + R=newvect(MP+2); + R0=newvect(MP+2); + for(I=1; I<=MO; I++) LL[I]=[]; + if(type(Sp)==4){ + if(getopt(basic)==1) Sp=chkspt(Sp[6]); + R=chkspt(Sp); + if(R[1]>MO) return 0; + LL[R[1]]=R; + K=R[1]; + } + if(K==1||type(Sp)!=4){ + LL[1]=[[[1]]]; + for(I=2; I<=MO && I<MP;I++){ + for(T=[], J=0; J<I+1; J++) + T=cons([I-1,1],T); + LL[I]=cons(T,LL[I]); + } + K=2; + } + for(OD=K; OD<MO; OD++){ + for(LT=LL[OD]; LT!=[]; LT=cdr(LT)){ + for(II=0,L=car(LT); L!=[]; II++, L=cdr(L)){ + R0[II]=R[II]=car(L); + } + for(; ;){ + for(S=-2*OD, I=0; I<II; I++){ + S += OD; + if(R[I]!=[]) S-=car(R[I]); + } + --I; + for(;S+OD<=MO && I<=MP;S+=OD,I++){ + if(S<=0) continue; + for(J=0;J<=I;J++){ + if(J>=II){ + if(S<OD) break; + }else + if(S+((R[J]==[])?0:car(R[J]))<car(R0[J])) break; + } + if(--J>=I){ + V=newvect(I); + RRR=[]; + for(;J>=0;J--){ + if(J>=II) RR=[OD,S]; + else{ + K=length(R[J]); + RR=[S+((K==0)?0:car(R[J]))]; + K=length(R0[J])-K; + for(RT=R0[J]; RT!=[]; K--,RT=cdr(RT)){ + if(K!=0) RR=cons(car(RT),RR); + } + } + RRR=cons(reverse(RR),RRR); + } + RRR=qsort(reverse(RRR)); + if(findin(RRR,LL[S+OD])<0) + LL[S+OD]=cons(RRR,LL[S+OD]); + } + } + for(K=0; K<II; K++){ + if(R[K]!=[]){ + S=car(R[K]); + while((R[K]=cdr(R[K]))!=[] && car(R[K])==S); + break; + }else R[K]=R0[K]; + } + if(K>=II) break; + } + } + } + if(L0>0 || L1<MO+1 || St==1 || F){ + for(J=1; J<=MO; J++){ + for(RT=[],R=LL[J];R!=[];R=cdr(R)){ + L=length(T=car(R)); + if(L<L0 || L>L1) continue; + if(F) T=s2sp(T|std=F); + RT=cons((St==1)?s2sp(T):T,RT); + } + LL[J] = reverse(RT); + } + } + if(Eq==1) return LL[MO]; + return LL; +} + +def spType2(L) +{ + C=0;R=[]; + for(LT=L;LT!=[];LT=cdr(LT)){ + D=-1;LP=car(LT); + for(LPT=LP;LPT!=[];LPT=cdr(LPT)){ + if(D==-1) D=car(LPT); + else D=igcd(D,car(LPT)); + if(D==1){ + C++;break; + } + } + if(C==2) return 0; + R=cons(D,R); + } + if(C==0) return L; + if(C==1){ + for(K=length(R)-1;R[K]!=1;K--); + D=-1; + for(I=length(R)-1;I>=0;I--){ + if(I==K) continue; + if(D==-1) D=R[I]; + else D=igcd(D,R[I]); + if(D==1) return 0; + } + } + return L; +} + + +/* ret [#points, order, idx, Fuchs, reduction order, reduction exponents, fund] */ +def chkspt(M) +{ + Opt= getopt(opt); + Mat= getopt(mat); + if(type(M)==7) M=s2sp(M); + if(type(Opt) >= 0){ + if(type(Opt) == 7) + Opt = findin(Opt, ["sp","basic","construct","strip","short","long","sort","root"]); + if(Opt < 0){ + erno(2); + return 0; + } + return fspt(M,Opt); + } + MR = fspt(M,1); + P = length(M); + OD = -1; + XM = newvect(P); + Fu = 0; + for( I = SM = SSM = 0; I < P; I++ ){ + LJ = length(M[I]); + JM = JMV = 0; + for(J = SM = 0; J < LJ; J++){ + MV = M[I][J]; + if(type(MV) == 4){ + Fu += MV[0]*MV[1]; + MV = MV[0]; + } + if(MV > JMV){ + JM = J; JMV = MV; + } + SM += MV; + SSM += MV^2; + } + if(OD < 0) + OD = SM; + else if(OD != SM){ + print("irregal partitions"); + return 0; + } + XM[I] = JM; + } + SSM -= (P-2)*OD^2; + for(I = SM = JM = 0; I < P; I++){ + MV = M[I][XM[I]]; + if(type(MV) == 4){ + MV = MV[0]; JM = 1; + } + if(I == 0) + SMM = MV; + else if(SMM > MV) + SMM = MV; + SM += MV; + } + SM -= (P-2)*OD; + if(SM > SMM && SM != 2*OD){ + print("not realizable"); + return -1; + } + if(JM==1 && Mat!=1) + Fu -= OD - SSM/2; + return [P, OD, SSM, Fu, SM, XM, MR]; +} + +def cterm(P) +{ + V = getopt(var); + if(type(V) != 4) + V=vars(P); + for(; V !=[]; V = cdr(V)) + P = mycoef(P,0,car(V)); + return P; +} + +def terms(P,L) +{ + Lv=getopt(level); + if(type(Lv)!=1) Lv=0; + V=car(L);L=cdr(L); + for(R=[],D=mydeg(P,V);D>=0; D--){ + if((Q=mycoef(P,D,V))==0) continue; + if(L!=[]){ + R0=terms(Q,L|level=Lv+1); + for(;R0!=[];R0=cdr(R0)) R=cons(cons(D,car(R0)),R); + }else R=cons([D],R); + } + if(Lv>0) return R; + R=qsort(R); + Rev = getopt(rev); Dic=getopt(dic); + if(Dic==1 && Rev==1) R=reverse(R); + for(R0=[];R!=[];R=cdr(R)){ + for(RT=car(R),S=0;RT!=[];RT=cdr(RT)) S+=car(RT); + R0=cons(cons(S,car(R)),R0); + } + if(Dic==1) return R0; + if(Rev==1){ + for(R=[];R0!=[];R0=cdr(R0)){ + T=car(R0); + R=cons(cons(-car(T),cdr(T)),R); + } + R0=R; + } + R0=qsort(R0); + if(Rev==1){ + for(R=[];R0!=[];R0=cdr(R0)){ + T=car(R0); + R=cons(cons(-car(T),cdr(T)),R); + } + R0=R; + } + return (Rev==1)?R0:reverse(R0); +} + +def polcut(P,N,L) +{ + if(type(L)==2) L=[L]; + M=getopt(top); + if(type(M)!=1) M=0; + T=terms(P,L); + for(S=0;T!=[];T=cdr(T)){ + LT=car(T); + if(LT[0]<M || LT[0]>N) continue; + for(PW=1,LT=cdr(LT),V=L,Q=P;LT!=[];LT=cdr(LT),V=cdr(V)){ + Q=mycoef(Q,car(LT),car(V));PW*=car(V)^car(LT); + } + S+=Q*PW; + } + return S; +} + +def redgrs(M) +{ + Mat = getopt(mat); + if(Mat!=1) Mat=0; + R = chkspt(M|mat=Mat); + if(type(R) < 4) + return -1; + if(R[4] <= 0) + return 1-R[4]; + if(R[4] == 2*R[1]) + return 0; + V = newvect(R[0]); + Type = type(M[0][0]); + if(Type > 3){ + Mu = Mat-1; + for(I = 0; I < R[0]; I++) + Mu += M[I][R[5][I]][1]; + } + for(I = 0; I < R[0]; I++){ + IR = R[5][I]; L = []; MI = M[I]; MIE=MI[IR]; + for(J = length(MI)-1; J >= 0; J--){ + if(Type <= 3){ + VM = MI[J]; + if(J == IR){ + VM -= R[4]; + if(VM < 0) return -1; + } + L = cons(VM, L); + }else{ + VM = MI[J][0]; + if(J == IR){ + VM -= R[4]; + if(VM < 0) + return -1; + if(I == 0) + EV = 1-Mat-Mu; + else + EV = 0; + }else{ + if(I == 0) + EV = MI[J][1] - M[0][R[5][0]][1] + 1-Mat; /* + MX - Mu; */ + else + EV = MI[J][1] - MIE[1] + Mu; + } + L = cons([VM,EV], L); +/* + if(R[2] >= 2){ */ /* digid */ +/* P = dx^(R[1]); + } */ + } + } + V[I] = L; + } + return [R[5], vtol(V)]; +} + +def cutgrs(A) +{ + for(AL=[] ; A!=[]; A=cdr(A)){ /* AT: level 2 */ + for(ALT=[], AT=car(A); AT!=[]; AT=cdr(AT)){ + M = (type(car(AT)) < 4)?car(AT):car(AT)[0]; + if(M > 0) + ALT = cons(car(AT), ALT); /* ALT: level 2 */ + } + AL = cons(reverse(ALT), AL); /* AL: level 3 */ + } + return reverse(AL); +} + +def mcgrs(G, R) +{ + NP = length(G); + Mat = (getopt(mat)==1)?0:1; + for(R = reverse(R) ; R != []; R = cdr(R)){ + GN = []; + L = length(G)-1; + RT = car(R); + if(type(RT) == 4){ + RT = reverse(RT); S = 0; + for(G = reverse(G); G != []; G = cdr(G), L--){ + AD = car(RT); RT = cdr(RT); + if(L > 0) + S += AD; + else + AD = -S; + for(GTN = [], GT = reverse(car(G)); GT != []; GT = cdr(GT)) + GTN = cons([car(GT)[0],car(GT)[1]+AD], GTN); + GN = cons(GTN, GN); + } + G = GN; + continue; + } + VP = newvect(L+1); GV = ltov(G); + for(I = S = OD = 0; I <= L; I++){ + RTT = (I==0)?(Mat-RT):0; + VP[I] = -1; + for(J = M = 0, GT = GV[I]; GT != []; GT = cdr(GT), J++){ + if(I == 0) + OD += car(GT)[0]; + if(car(GT)[1] == RTT && car(GT)[0] > M){ + S += car(GT)[0]-M; + VP[I] = J; + } + } + S -= (L-1)*OD; + for(GN = [] ; L >= 0; L--){ + GT = GV[L]; + RTT = (L==0)?(-RT):RT; + FTN = (VP[L] >= 0 || S == 0)?[]:[-S,(L==0)?(Mat-RT):0]; + for(J = 0; GT != []; GT = cdr(GT), J++){ + if(J != VP[L]){ + GTN = cons([car(GT)[0],car(GT)[1]+RTT], GTN); + continue; + } + K = car(GT)[0] - S; + if(K < 0){ + print("Not realizable"); + return; + } + GTN = cons([K,(L==0)?(Mat-RT):0], GTN); + } + GN = cons(reverse(GTN), GN); + } + } + G = cutgrs(GN); + } + return G; +} + +/* + F=0 : unify + F=["add",S] : + F=["sub",S] : + F=["+",A,B] : + F=["*",A,B] : + F=["mul",K]; + F=["get",F,V] : + F=["put",F,V] : + F=["get1",F,V] : + F=["put1",F,V] : + F=["put1"] : + F=["val",F]; + F=["swap"]; + */ +def anal2sp(R,F) +{ + if(type(F)==4&&type(F[0])==4){ /* multiple commands */ + for(;F!=[];F=cdr(F)) R=anal2sp(R,car(F)); + return R; + } + if(type(F)==7) F=[F]; + if(F==0){ /* unify */ + R=ltov(R); + L=length(R); + for(J=1;J<L;J++){ + for(I=0;I<J;I++){ + if(cdr(R[I])==cdr(R[J])){ + R[I]=cons(R[I][0]+R[J][0],cdr(R[I])); + R[J]=cons(0,cdr(R[J])); + break; + } + } + } + for(G=[],I=L-1;I>=0;I--) + if(R[I][0]!=0) G=cons(R[I],G); + if(length(G[0])==2){ /* sort by multiplicity */ + R=ltov(G); + L=length(R); + for(I=1;I<L;I++){ + for(J=I;J>0;J--){ + if(R[J-1][0]>R[J][0]) break; + if(R[J-1][0]==R[J][0]){ + S1=rtostr(R[J-1][1]);S2=rtostr(R[J][1]); + if((K=str_len(S1)-str_len(S2))<0) break; + if(!K&&S1<S2) break; + } + S=R[J-1];R[J-1]=R[J];R[J]=S; + } + } + G=vtol(R); + } + return G; + } + if(F[0]=="add") return append(R,F[1]); + R=reverse(R); + if(F[0]=="sub"){ + for(S=F[1];S!=[];S=cdr(S)) + R=cons(cons(-car(S)[0],cdr(car(S))),R); + return reverse(R); + } + if(F[0]=="swap"){ + for(G=[];R!=[];R=cdr(R)) + G=cons([car(R)[0],car(R)[2],car(R)[1]],G); + return G; + } + if(F[0]=="+"){ + for(G=[];R!=[];R=cdr(R)) + G=cons([car(R)[0],car(R)[1]+F[1],car(R)[2]+F[2]],G); + return G; + } + if(F[0]=="*"){ + for(G=[];R!=[];R=cdr(R)) + G=cons([car(R)[0],car(R)[1]*F[1]+car(R)[2]*F[2]],G); + return G; + } + if(F[0]=="mult"){ + K=F[1]; + for(G=[];R!=[];R=cdr(R)) G=cons(cons(K*car(R)[0],cdr(car(R))),G); + return G; + } + if(F[0]=="get"){ + for(G=[];R!=[];R=cdr(R)) + if(car(R)[F[1]]==F[2]) G=cons(car(R),G); + return G; + } + if(F[0]=="put"){ + if(F[1]==1){ + for(G=[];R!=[];R=cdr(R)) G=cons([car(R)[0],F[2],car(R)[2]],G); + }else{ + for(G=[];R!=[];R=cdr(R)) G=cons([car(R)[0],car(R)[1],F[2]],G); + } + return G; + } + if(F[0]=="get1"){ + if(length(F)==2){ + for(G=[];R!=[];R=cdr(R)) G=cons([R[0][0],car(R)[F[1]]],G); + return G; + } + for(G=[];R!=[];R=cdr(R)) + if(car(R)[F[1]]==F[2]) G=cons([R[0][0],car(R)[3-F[1]]],G); + return G; + } + if(F[0]=="put1"){ + if(length(F)==1) + for(G=[];R!=[];R=cdr(R)) G=cons([car(R)[0],car(R)[1],car(R)[1]],G); + else if(F[1]==1) + for(G=[];R!=[];R=cdr(R)) G=cons([car(R)[0],F[2],car(R)[1]],G); + else{ + for(G=[];R!=[];R=cdr(R)) G=cons([car(R)[0],car(R)[1],F[2]],G); + } + return G; + } + if(F[0]=="val"){ + V=(length(F)==1)?1:F[1]; + for(I=J=0;R!=[];R=cdr(R)){ + I+=car(R)[0]; + J+=car(R)[0]*car(R)[V]; + } + return [I,J]; + } + return 0; +} + +/* + G=0 get trivial common spct + G="..,..," spectre type of 4 singular points + P=["get"] all spct + P=["get",L] + L=n for variable x_n + L=[m,n] for residue [m,n] + L=[[m,n],[m',n']] for common spct + P=["get0",[m,n],[m',n']] for the sum of residues + P=["swap",[m,n]] for symmetry + P=["perm",[...]] for symmetry + P=["deg"] + P=["homog"] + P=["sort"] + P=[[[m,n],c],...] for addition + P=[c] or [[c],...] for middle convolution wrt 0 + P=[m,c] or [[m,c],...] for general middle convolution + P=[[a,b,c]] for special additions + P=[[d,a,b,c]] for middle convotution and additions + P=["multi",...] multiple commands + P=0,1,3 : return sim. spectre of 4 singular points +*/ +def mc2grs(G,P) +{ + if(G==0){ + G=[]; + for(I=4;I>=0;I--){ + V=lsort([0,1,2,3,4],[I],1); + for(J=1;J<4;J++){ + for(T=[],K=3;K>0;K--) + if(K!=J) T=cons(V[K],T); + G=cons([[[V[0],V[J]],T],[1,0,0]],G); + } + } + G=mc2grs(G,"sort"); + }else if(type(G)==7||(type(G)==4&&length(G)==4)){ + if(type(G)==7) G=s2sp(G); + F=(getopt(top)==0)?1:0; + K=[]; + if(type(P)==1&&iand(P,1)&&type(G[0][0])<4){ + G=s2sp(G|std=1); + if(F) G=[G[1],G[2],G[3],G[0]]; + G=sp2grs(G,[d,c,b,a],[1,length(G[0]),-1]|mat=1); + G=reverse(G); + if(iand(P,3)==3){ + V=vars(G); + for(H=L=[a,b,c,d];H!=[];H=cdr(H)) + if(findin(car(H),V)>=0) G=subst(G,car(H),makev([car(H),1])); + G=shortv(G,[a,b,c,d]); + V=vars(G); + for(H=G[3];H!=[];H=cdr(H)){ + T=car(H)[1]; + if(type(T)>1&&!isvar(T)){ + K=[car(H)[0],T]; + break; + } + } + } + F=1; + } + if(F) G=[G[3],G[0],G[1],G[2]]; + S=cons(["anal",1],getopt()); + if(!(R=m2mc(G,0|option_list=S))) return R; + for(G=0,R=cdr(R);R!=[];R=cdr(R)){ + TR=car(R)[0]; + if(TR[0]) G=mc2grs(G,[[TR[0]]]); + G=mc2grs(G,[cdr(TR)]); + } + if(type(P)==1&&K!=[]){ + for(T=10;T<36;T++){ + if(findin(X=makev([T]),V)>=0) continue; + F=K[0]*(X-K[1]); + return [F,simplify(G,[F],4)]; + } + } + } + if(type(P)<2) return G; + F=0; + if(type(P)==7||(type(P)==4&&type(P[0])<4)) P=[P]; + if((Dvi=getopt(dviout))!=1&&Dvi!=2&&Dvi!=-1) Dvi=0; + Keep=(Dvi==2)?1:0; + if(type(P)==4&&type(F=car(P))==7){ + if(F=="mult"){ + for(P=cdr(P);P!=[];P=cdr(P)) G=mc2grs(G,car(P)|option_list=getopt()); + return G; + } + if(F=="show"){ + for(R=str_tb(0,0);G!=[];){ + L=car(G); + I=L[0][0];J=L[0][1]; + str_tb("[A_{"+rtostr(I[0])+rtostr(I[1])+"}:A_{"+rtostr(J[0])+rtostr(J[1]) + +"}]&=\\left\\{",R); + for(L=cdr(L);;){ + S=car(L); + str_tb("["+my_tex_form(S[1])+":"+my_tex_form(S[2])+"]",R); + if(S[0]!=1) str_tb("_{"+rtostr(S[0])+"}",R); + if((L=cdr(L))==[]) break; + str_tb(",\\,",R); + } + str_tb("\\right\\}",R); + if((G=cdr(G))==[]) break; + str_tb(",\\\\\n",R); + } + R=texbegin("align*",str_tb(0,R)); + if(Dvi!=-1) dviout(R|keep=Keep); + return R; + } + if(F=="show0"){ + for(S="",L=[];G!=[];G=cdr(G)){ + for(TL=[],TG=cdr(car(G));TG!=[];TG=cdr(TG)) TL=cons(car(TG)[0],TL); + TL=msort(TL,[-1,0]); + if(Dvi){ + if(S!="") S=S+","; + for(I=J=0,T=append(TL,[[0]]);T!=[];T=cdr(T)){ + if(car(T)==I) J++; + else{ + if(I>0&&J>0){ + if(I>9) S=S+"("+rtostr(I)+")"; + else S=S+rtostr(I); + if(J>1){ + if(J>9) S=S+"^{"+rtostr(J)+"}"; + else S=S+"^"+rtostr(J); + } + } + I=car(T);J=1; + } + } + } + L=cons(TL,L); + } + if(Dvi){ + if(Dvi!=-1) dviout(S|eq=0); + return S; + } + return reverse(L); + } + if(F=="sort"){ + G=ltov(G);L=length(G); + for(I=0;I<L;I++){ + S=G[I][0]; + if(S[0][0]>S[0][1]) S=[[S[0][1],S[0][0]],S[1]]; + if(S[1][0]>S[1][1]) S=[S[0],[S[1][1],S[1][0]]]; + if(S[0]>S[1]){ + F=0;S=[S[1],S[0]]; + } + if(S!=G[I][0]){ + if(F==0) G[I]=cons(S,anal2sp(cdr(G[I]),"swap")); + else G[I]=cons(S,cdr(G[I])); + } + for(J=I;J>0;J--){ + if(G[J-1][0]<G[J][0]) break; + S=G[J-1];G[J-1]=G[J];G[J]=S; + } + } + return vtol(G); + } + if(F=="get"||F=="get0"){ + if(Dvi!=0) F="get"; + if(length(P)==1||type(P[1])<2){ + L=[]; + if(length(P)==1){ + for(I=3;I>=0;I--){ + for(J=4;J>I;J--) L=cons(mc2grs(G,[F,[I,J]]),L); + } + }else{ + for(I=P[1],J=4;J>=0;J--){ + if(I==J) continue; + L=cons(mc2grs(G,[F,(I<J)?[I,J]:[J,I]]),L); + } + } + if(Dvi){ + if(length(L)==10){ + R=ltov(L); + if(R[6][0]==[1,4]){ + S=R[6];R[6]=R[7];R[7]=S; + L=vtol(R); + } + } + for(R=S=[],L=reverse(L);L!=[];L=cdr(L)){ + T=car(L); + R=cons(cdr(T),R); + if(S==[]) S="A_{"+rtostr(T[0][0])+rtostr(T[0][1])+"}\\\\\n"; + else S="A_{"+rtostr(T[0][0])+rtostr(T[0][1])+"}&"+S; + } + L=ltotex(R|opt="GRS",pre=S); + if(Dvi>0) dviout(L|eq=0,keep=Keep); + } + return L; /* get all spct */ + } + if(type(T=P[1])==4){ + if(F=="get0"&&length(P)==3&&type(I=P[1])==4&&type(J=P[2])==4){ + if(I[0]>I[1]) I=[I[1],I[0]]; + if(J[0]>J[1]) J=[J[1],J[0]]; + if(I[0]>I[0]){S=I;I=J;J=S;}; + K=lsort(I,J,0); + if(length(K)==4){ + S=sp2grs(G,["get0",[I,J]]); + return anal2sp(S,[["*",1,1],0]); + } + I=lsort(K,lsort(I,J,2),1); + S=lsort([0,1,2,3,4],K,1); + D=sp2grs(G,"deg"); + if(findin(4,S)<0) D=-D; + J=sp2grs(G,["get0",[I,S]]); + if(I[0]>S[0]) J=sp2grs(J,"swap"); + return anal2sp(J,[["+",0,D],["*",-1,1]]); + } + if(type(car(T))==4){ + if(T[0][0]>T[0][1]) T=[[T[0][1],T[0][0]],T[1]]; + if(T[1][0]>T[1][1]) T=[T[0],[T[1][1],T[1][0]]]; + if(T[0][0]>T[1][0]) T=[T[1],T[0]]; + for(PG=G;PG!=[];PG=cdr(PG)) + if(car(PG)[0]==T) return (F=="get")?car(PG):cdr(car(PG)); + return []; /* get common spct */ + } + if(T[0]>T[1]) T=[T[1],T[0]]; + for(FT=0,PG=G;PG!=[];PG=cdr(PG)){ + if(car(PG)[0][0]==T){ + FT=1;break; + } + if(car(PG)[0][1]==T){ + FT=2;break; + } + } + if(!FT) return []; + L=anal2sp(cdr(car(PG)),[["get1",FT],0]); + return (F=="get")?cons(T,L):L; + } + } + if(F=="deg"){ + for(S=I=0;I<3;I++){ + for(J=I+1;J<4;J++){ + L=mc2grs(G,["get0",[I,J]]); + L=anal2sp(L,"val"); + S+=L[1]; + } + } + return S/L[0]; + } + if(F=="spct"){ + G=mc2grs(G,"get"); + M=newmat(5,5); + for(;G!=[];G=cdr(G)){ + GT=car(G);I=GT[0][0];J=GT[0][1]; + for(S=0,L=[],GT=cdr(GT);GT!=[];GT=cdr(GT)){ + L=cons(car(GT)[0],L); + } + L=reverse(qsort(L)); + M[I][J]=M[J][I]=L; + } + for(D=0,GT=M[0][1];GT!=[];GT=cdr(GT)) D+=car(GT); + for(I=0;I<5;I++){ + S=-2*D^2; + for(J=0;J<5;J++){ + if(I==J) continue; + for(L=M[I][J];L!=[];L=cdr(L)) S+=car(L)^2; + } + M[I][I]=S; + } + if(Dvi){ + S=[]; + for(I=4;I>=0;I--){ + L=[M[I][I]]; + for(J=4;J>=0;J--){ + if(I==J) L=cons("",L); + else L=cons(s2sp([M[I][J]]),L); + } + S=cons(L,S); + } + S=cons([x0,x1,x2,x3,x4,"idx"],S); + M=ltotex(S|opt="tab",hline=[0,1,z],vline=[0,1,z-1,z],left=["","$x_0$","$x_1$","$x_2$","$x_3$","$x_4$"]); + if(Dvi>0) dviout(M|keep=Keep); + } + return M; + } + if(F=="swap"||F=="perm"){ + if(F=="perm") TR=P[1]; + else{ + TR=newvect(5,[0,1,2,3,4]); + K=P[1][0];L=P[1][1]; + TR[K]=L;TR[L]=K; + if(TR[4]!=4) G=mc2grs(G,"deg"); + } + V=newvect(2); + for(L=[],T=G;T!=[];T=cdr(T)){ + TP=car(T)[0]; + for(TQ=[],I=1;I>=0;I--){ + V=[TR[TP[I][0]],TR[TP[I][1]]]; + if(V[0]>V[1]) V=[V[1],V[0]]; + TQ=cons(V,TQ); + } + if(TQ[0][0]<TQ[1][0]){ + L=cons(cons(TQ,cdr(car(T))),L); + continue; + } + TQ=[[TQ[1],TQ[0]]]; + for(TP=cdr(car(T));TP!=[];TP=cdr(TP)) + TQ=cons([car(TP)[0],car(TP)[2],car(TP)[1]],TQ); + L=cons(reverse(TQ),L); + } + return mc2grs(L,"sort"); + } + if(F=="homog"){ + V=mc2grs(G,"deg"); + return mc2grs(G,[[[2,3],-V]]); + }else if(F=="deg"){ + R=mc2grs(G,4); + for(V=0;R!=[];R++){ + for(TR=cdr(R);TR!=[];TR=cdr(TR)) + V+=car(TR)[0]*car(TR)[1]; + } + return -V; + } + } + if(type(F)!=4) return 0; + if(type(P[0])!=4) P=[P]; + for(;P!=[];P=cdr(P)){ + if(type((S=P[0])[0])==4){ /* addition */ + T=P[0][0]; + if(T[0]>T[1]) T=[T[1],T[0]]; + T1=[T[0],4];T2=[T[1],4]; + for(L=[],PG=reverse(G);PG!=[];PG=cdr(PG)){ + R=car(PG);R0=R[0];F=0;K=P[0][1]; + if(R0[0]==T) F=1; + else if(R0[1]==T) F=2; + else if(getopt(unique)!=1){ + K=-K; + if(R0[0]==T1||R0[0]==T2) F=1; + else if(R0[1]==T1||R0[1]==T2) F=2; + } + if(F==0) L=cons(R,L); + else{ + R1=anal2sp(cdr(R),(F==1)?["+",K,0]:["+",0,K]); + L=cons(cons(R0,R1),L); + } + } + G=L; + }else if(type(S[0])<4){ + if(length(S)==1){ /* mc wrt0 4:cases */ + U=mc2grs(G,"deg"); + C=P[0][0]; + L=[]; + /* [[0,1],[2,3]] : [K=[0,k],J=[i,j]], S=[k,4] : 3 cases */ + for(K=1;K<4;K++){ + J=lsort([1,2,3],[K],1); + K4=[K,4];K0=[0,K]; + G0=mc2grs(G,["get0",[K0,J]]); + LT=anal2sp(G0,["+",C,0]); + G0=mc2grs(G,["get0",J]); + L0=anal2sp(G0,["put1",1,0]); + LT=anal2sp(LT,["add",L0]); + G0=mc2grs(G,["get0",K4]); + L0=anal2sp(G0,[["put1",1,0],["+",0,U]]); + LT=anal2sp(LT,["add",L0]); + G0=mc2grs(G,["get0",[[0,J[0]],K4]]); + L0=anal2sp(G0,[["get",1,0],["+",0,U]]); + LT=anal2sp(LT,["sub",L0]); + G0=mc2grs(G,["get0",[[0,J[1]],K4]]); + L0=anal2sp(G0,[["get",1,0],["+",0,U]]); + LT=anal2sp(LT,["sub",L0]); + G0=mc2grs(G,["get0",[K0,J]]); + L0=anal2sp(G0,[["get",1,0],["+",C,0]]); + LT=anal2sp(LT,["sub",L0]); + G0=mc2grs(G,["get0",[[0,4],J]]); + L0=anal2sp(G0,[["+",-C,0],["get",1,0]]); + LT=anal2sp(LT,[["sub",L0],0]); + L=cons(cons([K0,J],LT),L); + } + /* [[0,1],[2,4]] : [K,I]=[[0,k],[i,4]] S=[j,k] : 6 cases */ + for(K=1;K<4;K++){ + for(I=1;I<4;I++){ + if(I==K) continue; + for(J=1;J<4;J++) if(J!=I&&J!=K) break; + I4=[I,4];S=(J<K)?[J,K]:[K,J];K0=[0,K]; + G0=cdr(mc2grs(G,["get",[K0,I4]])); + LT=anal2sp(G0,["+",C,0]); + G0=cdr(mc2grs(G,["get",I4])); + L0=anal2sp(G0,["put1",1,0]); + LT=anal2sp(LT,["add",L0]); + G0=cdr(mc2grs(G,["get",S])); + L0=anal2sp(G0,[["put1",1,0],["+",0,-C-U]]); + LT=anal2sp(LT,["add",L0]); + + G0=cdr(mc2grs(G,["get",[[0,I],S]])); + L0=anal2sp(G0,[["get",1,0],["+",0,-C-U]]); + LT=anal2sp(LT,["sub",L0]); + G0=cdr(mc2grs(G,["get",[[0,J],I4]])); + L0=anal2sp(G0,["get",1,0]); + LT=anal2sp(LT,["sub",L0]); + G0=cdr(mc2grs(G,["get",[K0,I4]])); + L0=anal2sp(G0,[["get",1,0],["+",C,0]]); + LT=anal2sp(LT,["sub",L0]); + G0=cdr(mc2grs(G,["get",[[0,4],S]])); + L0=anal2sp(G0,[["get",1,C],["+",-C,-C-U]]); + LT=anal2sp(LT,[["sub",L0],0]); + L=cons(cons([K0,I4],LT),L); + } + } + /* [[0,4],[2,3]] : [[0,4],J]=[[0,4],[i,j]] 3 cases */ + for(K=3;K>0;K--){ + J=lsort([1,2,3],[K],1); + G0=mc2grs(G,["get0",[[0,4],J]]); + LT=anal2sp(G0,["+",-C,0]); + G0=mc2grs(G,["get0",J]); + L0=anal2sp(G0,["put1",1,-C]); + LT=anal2sp(LT,["add",L0]); + G0=mc2grs(G,["get0",[K,4]]); + L0=anal2sp(G0,[["put1",1,-C],["+",0,U]]); + LT=anal2sp(LT,["add",L0]); + + G0=mc2grs(G,["get0",[[0,J[0]],[K,4]]]); + L0=anal2sp(G0,[["get",1,0],["+",-C,U]]); + LT=anal2sp(LT,["sub",L0]); + G0=mc2grs(G,["get0",[[0,J[1]],[K,4]]]); + L0=anal2sp(G0,[["get",1,0],["+",-C,U]]); + LT=anal2sp(LT,["sub",L0]); + G0=mc2grs(G,["get0",[[0,K],J]]); + L0=anal2sp(G0,[["get",1,0],["+",-C,0]]); + LT=anal2sp(LT,["sub",L0]); + G0=mc2grs(G,["get0",[[0,4],J]]); + L0=anal2sp(G0,[["get",1,C],["put",1,0]]); + LT=anal2sp(LT,[["sub",L0],0]); + L=cons(cons([[0,4],J],LT),L); + } + /* [[1,2],[3,4]] : [J,K]=[[i,j],[k,4]] 3 cases */ + for(K=3;K>0;K--){ + J=lsort([1,2,3],[K],1); + if(K>1) + LT=mc2grs(G,["get0",[J,[K,4]]]); + else{ + LT=mc2grs(G,["get0",[[K,4],J]]); + LT=anal2sp(LT,"swap"); + } + G0=mc2grs(G,["get0",J]); + L0=anal2sp(G0,[["put1"],["+",0,-C-U]]); + LT=anal2sp(LT,["add",L0]); + G0=mc2grs(G,["get0",[K,4]]); + L0=anal2sp(G0,[["put1"],["+",U,0]]); + LT=anal2sp(LT,["add",L0]); + + G0=mc2grs(G,["get0",[[0,J[0]],[K,4]]]); + L0=anal2sp(G0,[["get1",1,0],["put1"],["+",U,0]]); + LT=anal2sp(LT,["sub",L0]); + G0=mc2grs(G,["get0",[[0,J[1]],[K,4]]]); + L0=anal2sp(G0,[["get1",1,0],["put1"],["+",U,0]]); + LT=anal2sp(LT,["sub",L0]); + G0=mc2grs(G,["get0",[[0,K],J]]); + L0=anal2sp(G0,[["get1",1,0],["put1"],["+",0,-C-U]]); + LT=anal2sp(LT,["sub",L0]); + G0=mc2grs(G,["get0",[[0,4],J]]); + L0=anal2sp(G0,[["get1",1,C],["put1"],["+",0,-C-U]]); + LT=anal2sp(LT,[["sub",L0],0]); + if(K==1){ + LT=anal2sp(LT,"swap"); + L=cons(cons([[K,4],J],LT),L); + }else L=cons(cons([J,[K,4]],LT),L); + } + G=L; + }else if(length(S)==2){ /* general mc */ + if(S[1]!=0){ + I=S[0]; + if(I!=0) G=mc2grs(G,["swap",[0,I]]); + G=mc2grs(G,[S[1]]); + if(I!=0) G=mc2grs(G,["swap",[0,I]]); + } + }else if(length(S)==3||length(S)==4){ /* addition */ + for(I=1;I<4;I++,S=cdr(S)) + if(S[0]) G=mc2grs(G,[[[0,I],S[0]]]); + if(length(S)==1 && S[0]) /* mc */ + G=mc2grs(G,[S[0]]); + } + } + } + return mc2grs(G,"sort"); +} + +def mcmgrs(G,P) +{ + if(type(G)<2){ + if(G>1){ + N=G+2;G=[]; + for(I=1;I<=N;I++){ + for(J=1;J<N;J++){ + if(I==J) continue; + for(K=J+1;K<=N;K++){ + if(I==K) continue; + G=cons([[[0,I],[J,K]],[1,0,0]],G); + } + } + } + for(I=1;I<=N;I++){ + for(J=1;J<I;J++) G=cons([[[0,I],[0,J,I]],[1,0,0]],G); + for(J=I+1;J<=N;J++) G=cons([[[0,I],[0,I,J]],[1,0,0]],G); + } + return reverse(G); + } + return 0; + } + if(type(G)==7) G=os_md.s2sp(G); + if(type(G)!=4||type(G[0])!=4) return 0; + if(type(G[0][0])!=4){ /* spectre type -> GRS */ + G=s2sp(G|std=1); + L=length(G); + for(V=[],I=L-2;I>=0;I--) V=cons(makev([I+10]),V); + V=cons(makev([L+9]),V); + G=sp2grs(G,V,[1,length(G[0]),-1]|mat=1); + if(getopt(short)!=0){ + V=append(cdr(V),[V[0]]); + G=shortv(G,V); + } + R=chkspt(G|mat=1); + if(R[2] != 2 || R[3] != 0 || !(R=getbygrs(G,1|mat=1))) return 0; + if(getopt(anal)==1) return R; /* called by mcmgrs() */ + if(!(G=mcmgrs(L-2,0))) return 0; + for(R=cdr(R);R!=[];R=cdr(R)){ + TR=car(R)[0]; + if(TR[0]) G=mcmgrs(G,[[TR[0]]]); + G=mcmgrs(G,[cdr(TR)]); + } + } + L=length(G); + for(N=4;N<25;N++){ + K=N^2*(N-1)/2; + if(K>L) return 0; + if(K==L) break; + } + if(type(P)<2) return G; + F=0; + if(type(P)==7||(type(P)==4&&type(P[0])<4)) P=[P]; + if((Dvi=getopt(dviout))!=1&&Dvi!=2&&Dvi!=-1) Dvi=0; + Keep=(Dvi==2)?1:0; + if(type(P)==4 && type(F=car(P))==7){ + if(F=="mult"){ + for(P=cdr(P);P!=[];P=cdr(P)) G=os_md.mc2grs(G,car(P)|option_list=getopt()); + return G; + } + if(F=="get"||F=="get0"){ + if(Dvi!=0) F="get"; + if(length(P)==2){ + if(type(P[1])==4){ + if(type(P[1][1])==4){ /* [[,],[,]] */ + for(PG=reverse(G);PG!=[];PG=cdr(PG)){ + TP=car(PG); + if(TP[0]==P[1]) return (F=="get")?TP:cdr(TP); + } + return []; + } + if(P[1][0]==0){ + if(length(P[1])==2){ /* [0,] */ + for(J=1;J<=N;J++) if(J!=P[1][1]) break; + for(K=J+1;K<=N;K++) if(K!=P[1][1]) break; + L=mcmgrs(G,["get0",[P[1],[J,K]]]); + L=anal2sp(L,["get1",1]); + }else{ /* [0,*,*] */ + L=mcmgrs(G,["get0",[[P[1][0],P[1][1]],P[1]]]); + L=anal2sp(L,["get1",2]); + } + }else{ /* [,] */ + for(J=1;J<=N;J++) if(J!=P[1][0]&&J!=P[1][1]) break; + L=mcmgrs(G,["get0",[[0,J],P[1]]]); + L=anal2sp(L,["get1",2]); + } + L=anal2sp(L,0); + if(F=="get") L=cons(P[1],L); + return L; + }else{ /* I */ + for(L=[],I=P[1],J=0;J<=N;J++){ + if(I==J) continue; + II=(I<J)?[I,J]:[J,I]; + L=cons(mcmgrs(G,[F,II]),L); + } + } + }else{ + for(L=[],I=0;I<N;I++){ + for(J=I+1;J<=N;J++) L=cons(mcmgrs(G,[F,[I,J]]),L); + } + } + if(Dvi){ + for(R=S=[];L!=[];L=cdr(L)){ + T=car(L); + R=cons(cdr(T),R); + if(S==[]) S="A_{"+rtostr(T[0][0])+rtostr(T[0][1])+"}\\\\\n"; + else S="A_{"+rtostr(T[0][0])+rtostr(T[0][1])+"}&"+S; + } + L=ltotex(R|opt="GRS",pre=S); + if(type(V=getopt(div))!=4) V=[]; + if(V==[]&&(K=length(R))>10) + for(I=9;I<K;I+=9) V=cons(I,V); + V=reverse(V); + if(V!=[]) L=divmattex(L,V); + if(Dvi>0){ + if(V!=[]) dviout(L|keep=Keep); + else dviout(L|eq=0,keep=Keep); + } + }else L=reverse(L); + return L; + } + if(F=="show"){ + for(R=str_tb(0,0);G!=[];){ + L=car(G); + I=L[0][0];J=L[0][1]; + str_tb("[A_{"+rtostr(I[0])+rtostr(I[1])+"}:A_{"+rtostr(J[0])+rtostr(J[1]),R); + if(length(J)==3) str_tb(rtostr(J[2]),R); + str_tb("}]&=\\left\\{",R); + for(L=cdr(L);;){ + S=car(L); + str_tb("["+my_tex_form(S[1])+":"+my_tex_form(S[2])+"]",R); + if(S[0]!=1) str_tb("_{"+rtostr(S[0])+"}",R); + if((L=cdr(L))==[]) break; + str_tb(",\\,",R); + } + str_tb("\\right\\}",R); + if((G=cdr(G))==[]) break; + str_tb(texcr(43),R); + } + R=texbegin("align*",str_tb(0,R)); + if(Dvi!=-1) dviout(R|keep=Keep); + return R; + } + if(F=="show0"){ + for(C=N*(N-1)*(N-2)/2,S="",L=[];G!=[];G=cdr(G)){ + for(TL=[],TG=cdr(car(G));TG!=[];TG=cdr(TG)) TL=cons(car(TG)[0],TL); + TL=msort(TL,[-1,0]); + if(Dvi){ + if(S!=""){ + if(--C==0) S=S+";"; + else S=S+","; + } + for(I=J=0,T=append(TL,[[0]]);T!=[];T=cdr(T)){ + if(car(T)==I) J++; + else{ + if(I>0&&J>0){ + if(I>9) S=S+"("+rtostr(I)+")"; + else S=S+rtostr(I); + if(J>1){ + if(J>9) S=S+"^{"+rtostr(J)+"}"; + else S=S+"^"+rtostr(J); + } + } + I=car(T);J=1; + } + } + } + L=cons(TL,L); + } + if(Dvi){ + if(Dvi!=-1) dviout(S|eq=0); + return S; + } + return reverse(L); + } + if(F=="spct"){ + G=mcmgrs(G,"get"); + M=newmat(N+1,N+1); + for(;G!=[];G=cdr(G)){ + GT=car(G);I=GT[0][0];J=GT[0][1]; + for(S=0,L=[],GT=cdr(GT);GT!=[];GT=cdr(GT)){ + L=cons(car(GT)[0],L); + } + L=reverse(qsort(L)); + M[I][J]=M[J][I]=L; + } + for(D=0,GT=M[0][1];GT!=[];GT=cdr(GT)) D+=car(GT); + for(I=0;I<=N;I++){ + S=-(N-2)*D^2; + for(J=0;J<=N;J++){ + if(I==J) continue; + for(L=M[I][J];L!=[];L=cdr(L)) S+=car(L)^2; + } + M[I][I]=S; + } + if(Dvi){ + S=[]; + for(LS=[],I=N;I>=0;I--){ + L=[M[I][I]]; + for(J=N;J>=0;J--){ + if(I==J) L=cons("",L); + else L=cons(s2sp([M[I][J]]),L); + } + S=cons(L,S); + LS=cons("$x_"+rtostr(I)+"$",LS); + } + S=cons(append(LS,["idx"]),S); + M=ltotex(S|opt="tab",hline=[0,1,z],vline=[0,1,z-1,z],left=cons("",LS)); + if(Dvi>0) dviout(M|keep=Keep); + } + return M; + } + if(F=="deg"){ + for(S=I=0;I<N-1;I++){ + for(J=I+1;J<N;J++){ + L=mcmgrs(G,["get0",[I,J]]); + L=anal2sp(L,"val"); + S+=L[1]; + } + } + return S/L[0]; + } + } + L=[]; + if(type(F)!=4) return 0; + if(type(P[0])!=4||length(P[0])==2) P=[P]; + for(;P!=[];P=cdr(P)){ + if(type(T=(S=car(P))[0])==4){ /* addition */ + if((K=P[0][1])!=0){ + if(T[0]>T[1]) T=[T[1],T[0]]; + T1=[T[0],N];T2=[T[1],N]; + T01=cons(0,T1);T02=cons(0,T2); + for(PG=G;PG!=[];PG=cdr(PG)){ + R=car(PG);R0=R[0];K1=K2=0; + TP=R0[0]; + if(TP==T) K1=K; + else if(TP==T1||TP==T2) K1=-K; + if(length(TP=R0[1])==2){ + if(TP==T) K2=K; + else if(TP==T1||TP==T2) K2=-K; + }else{ + S=0; + if(findin(T[0],TP)>=0) S++; + if(findin(T[1],TP)>=0) S++; + if(S>0&&TP[2]==N) K2=-K; + else if(S==2) K2=K; + } + R1=anal2sp(cdr(R),["+",K1,K2]); + L=cons(cons(R0,R1),L); + } + G=reverse(L); + } + }else if(length(S)==1){ /* middle convolution */ + C=S[0];L=[]; + for(I=1;I<=N;I++){ + for(J=1;J<=N;J++){ + if(I==J) continue; + for(K=J+1;K<=N;K++){ /* [[0,I],[J,K]] */ + if(I==K)continue; + T=[[0,I],JK=[J,K]]; + if(I==N){ + LT=mcmgrs(G,["get0",T]); + G0=mcmgrs(G,["get0",JK]); + L0=anal2sp(G0,[["put1",1,0],["mult",N-3]]); + G0=mcmgrs(G,["get0",[0,J,K]]); + LT=anal2sp(LT,["add",L0]); + L0=anal2sp(G0,["put1",1,0]); + LT=anal2sp(LT,["add",L0]); + for(V=1;V<=N;V++){ + if(V==I){ + G0=mcmgrs(G,["get0",T]); + L0=anal2sp(G0,["get",1,C]); + }else if(V==J||V==K){ + G0=mcmgrs(G,["get0",[[0,V],[0,J,K]]]); + L0=anal2sp(G0,["get",1,0]); + }else{ + G0=mcmgrs(G,["get0",[[0,V],JK]]); + L0=anal2sp(G0,["get",1,0]); + } + LT=anal2sp(LT,["sub",L0]); + } + LT=anal2sp(LT,["+",-C,0]); + }else if(K==N){ + LT=mcmgrs(G,["get0",T]); + LT=anal2sp(LT,["+",C,0]); + G0=mcmgrs(G,["get0",JK]); + L0=anal2sp(G0,[["put1",1,0],["mult",N-3]]); + LT=anal2sp(LT,["add",L0]); + G0=mcmgrs(G,["get0",[0,J,K]]); + L0=anal2sp(G0,[["put1",1,0],["+",0,-C]]); + LT=anal2sp(LT,["add",L0]); + for(V=1;V<=N;V++){ + if(V==I){ + G0=mcmgrs(G,["get0",T]); + L0=anal2sp(G0,[["get",1,0],["+",C,0]]); + }else if(V==J){ + G0=mcmgrs(G,["get0",[[0,V],[0,J,K]]]); + L0=anal2sp(G0,[["get",1,0],["+",0,-C]]); + }else if(V==N){ + G0=mcmgrs(G,["get0",[[0,V],[0,J,K]]]); + L0=anal2sp(G0,[["get",1,C],["+",-C,-C]]); + }else{ + G0=mcmgrs(G,["get0",[[0,V],JK]]); + L0=anal2sp(G0,["get",1,0]); + } + LT=anal2sp(LT,["sub",L0]); + } + }else{ + G0=mcmgrs(G,["get0",T]); + LT=anal2sp(G0,["+",C,0]); + G0=mcmgrs(G,["get0",JK]); + L0=anal2sp(G0,[["put1",1,0],["mult",N-3]]); + LT=anal2sp(LT,["add",L0]); + G0=mcmgrs(G,["get0",[0,J,K]]); + L0=anal2sp(G0,["put1",1,0]); + LT=anal2sp(LT,["add",L0]); + for(V=1;V<=N;V++){ + if(V==I){ + G0=mcmgrs(G,["get0",T]); + L0=anal2sp(G0,[["get",1,0],["+",C,0]]); + }else if(V==J||V==K){ + G0=mcmgrs(G,["get0",[[0,V],[0,J,K]]]); + L0=anal2sp(G0,["get",1,0]); + }else if(V==N){ + G0=mcmgrs(G,["get0",[[0,V],JK]]); + L0=anal2sp(G0,[["get",1,C],["+",-C,0]]); + }else{ + G0=mcmgrs(G,["get0",[[0,V],JK]]); + L0=anal2sp(G0,["get",1,0]); + } + LT=anal2sp(LT,["sub",L0]); + } + } + LT=anal2sp(LT,0); + L=cons(cons(T,LT),L); + } + T=[[0,I],(I<J)?[0,I,J]:[0,J,I]]; /* [0,I], [0,I,J] */ + JK=(I<J)?[I,J]:[J,I]; + if(I==N){ + G0=mcmgrs(G,["get0",T]); + LT=anal2sp(G0,["+",-C,0]); + G0=mcmgrs(G,["get0",JK]); + L0=anal2sp(G0,[["put1",1,-C],["mult",N-3]]); + LT=anal2sp(LT,["add",L0]); + G0=mcmgrs(G,["get0",T[1]]); + L0=anal2sp(G0,["put1",1,-C]); + LT=anal2sp(LT,["add",L0]); + for(V=1;V<=N;V++){ + if(V==J){ + G0=mcmgrs(G,["get0",T]); + L0=anal2sp(G0,[["get",1,0],["+",-C,0]]); + }else if(V==N){ + G0=mcmgrs(G,["get0",[[0,V],T[1]]]); + L0=anal2sp(G0,[["get",1,C],["+",-C,0]]); + }else{ + G0=mcmgrs(G,["get0",[[0,V],JK]]); + L0=anal2sp(G0,[["get",1,0],["+",-C,0]]); + } + LT=anal2sp(LT,["sub",L0]); + } + LT=anal2sp(LT,["+",0,C]); + }else if(J==N){ + G0=mcmgrs(G,["get0",T]); + LT=anal2sp(G0,["+",C,0]); + G0=mcmgrs(G,["get0",T[0]]); + L0=anal2sp(G0,[["put1",1,0],["mult",N-3]]); + LT=anal2sp(LT,["add",L0]); + G0=mcmgrs(G,["get0",T[1]]); + L0=anal2sp(G0,["put1",1,0]); + LT=anal2sp(LT,["add",L0]); + for(V=1;V<=N;V++){ + if(V==I){ + G0=mcmgrs(G,["get0",T]); + L0=anal2sp(G0,[["get",1,0],["+",C,0]]); + }else if(V==N){ + G0=mcmgrs(G,["get0",[[0,V],T[1]]]); + L0=anal2sp(G0,[["get",1,C],["+",-C,0]]); + }else{ + G0=mcmgrs(G,["get0",[[0,V],JK]]); + L0=anal2sp(G0,["get",1,0]); + } + LT=anal2sp(LT,["sub",L0]); + } + LT=anal2sp(LT,["+",0,-C]); + }else{ + G0=mcmgrs(G,["get0",T]); + LT=anal2sp(G0,["+",C,C]); + G0=mcmgrs(G,["get0",JK]); + L0=anal2sp(G0,[["put1",1,0],["mult",N-3]]); + LT=anal2sp(LT,["add",L0]); + G0=mcmgrs(G,["get0",T[1]]); + L0=anal2sp(G0,[["put1",1,0],["+",0,C]]); + LT=anal2sp(LT,["add",L0]); + for(V=1;V<=N;V++){ + if(V==I){ + G0=mcmgrs(G,["get0",T]); + L0=anal2sp(G0,[["get",1,0],["+",C,C]]); + }else if(V==J){ + G0=mcmgrs(G,["get0",[[0,V],T[1]]]); + L0=anal2sp(G0,[["get",1,0],["+",0,C]]); + }else if(V==N){ + G0=mcmgrs(G,["get0",[[0,V],JK]]); L0=anal2sp(G0,[["get",1,C],["+",-C,0]]); + }else{ + G0=mcmgrs(G,["get0",[[0,V],JK]]); + L0=anal2sp(G0,["get",1,0]); + } + LT=anal2sp(LT,["sub",L0]); + } + } + LT=anal2sp(LT,0); + L=cons(cons(T,LT),L); + } + } + for(G0=G=[];L!=[];L=cdr(L)){ + if(length(car(L)[0][1])==2) G0=cons(car(L),G0); + else G=cons(car(L),G); + } + G=append(G0,G); + }else{ + if(length(S)==N-1||length(S)==N){ /* [a_1,...,a_{N-1},c] */ + for(I=1;I<N;S=cdr(S),I++) G=mcmgrs(G,[[0,I],car(S)]); + if(length(S)==1) G=mcmgrs(G,[S[0]]); + }else return 0; + } + } + return G; +} + + +def delopt(L,S) +{ + if((Inv=getopt(inv))!=1) Inv=0; + for(R=[];L!=[];L=cdr(L)){ + if(type(car(L))!=4) F=0; + else if(type(S)==4) F=(findin(car(L)[0],S)<0)?0:1; + else F=(car(L)[0]==S)?1:0; + if(F==Inv) R=cons(car(L),R); + } + return reverse(R); +} + +def str_char(S,N,L) +{ + if(type(S)==7){ + if(type(L)==1) L=asciitostr([L]); + return str_chr(S,N,L); + } + if(type(L)==7) L=strtoascii(L)[0]; + if(type(S)==4){ + M=N; + while(M-->0) S=cdr(S); + M=findin(L,S); + return (M>=0)?findin(L,S)+N:-1; + }else if(type(S)==5){ + K=length(S); + for(I=N;I<K;I++) + if(S[I]==L) return I; + } + return -1; +} + +def str_pair(S,N,I,J) +{ + if(type(I)==7) I=(II=strtoascii(I))[0]; + if(type(J)==7) J=(JJ=strtoascii(J))[0]; + if(type(S)==7) S=strtoascii(S); + if(getopt(inv)==1){ + if(II!=0){ + I=asciitostr(reverse(II)); + IL=length(II); + }else IL=1; + if(JJ!=0) J=asciitostr(reverse(JJ)); + R=str_pair(reverse(S),length(S)-N-1,J,I); + if(R>=0) R=length(S)-IL-R; + return R; + } + if((SJIS=getopt(sjis))!=1) SJIS=0; + if((II!=0&&length(II)>1)||(JJ!=0&&length(JJ)>1)){ + for(;;){ + MJ=str_str(S,N|top=JJ,sjis=SJIS); + if(MJ>=0){ + MI=str_str(S,II|top=N,sjis=SJIS); + if(MI<0 || MI>MJ){ + if(C==0) return MJ; + C--; N=MJ+length(II); + }else if(MI>=0){ + C++; N=MI+length(JJ); + } + } + return -1; + } + } + if(type(S)==4){ + M=N; + while(M-->0) S=cdr(S); + while(S!=[]){ + if(car(S)==I) C++; + else if(car(S)==J){ + if(C==0) return N; + C--; + } + S=cdr(S);N++; + } + }else if(type(S)==5){ + K=length(S); + for(T=N;T<K && C>=0;T++){ + if(S[T]==I) C++; + else if(S[T]==J){ + if(C==0) return T; + C--; + } + } + } + return -1; +} + + +def str_cut(S,I,J) +{ + if(type(S)==7) return sub_str(S,I,J); + if((JJ=length(S))<=J) J=JJ-1; + if(type(S)==5){ + for(L=[],K=J; K>=I; K--) L=cons(S[K],L); + }else if(type(S)==4){ + J-=I; + while(I-->0) S=cdr(S); + for(L=[];J-->=0;S=cdr(S)) L=cons(car(S),L); + L=reverse(L); + } + return asciitostr(L); +} + +def str_str(S,T) +{ + if(S==0) return -1; + if(type(S) == 7) + S = strtoascii(S); + if(type(J=getopt(top))!=1 || J<0) J=0; + LS=length(S); + if(LS-J<1) return -1; + if(type(S)==4){ + LS-=(J0=J); + for( ; J>0 && S!=[]; S=cdr(S),J--); + } + if(type(JJ=getopt(end))!=1 && JJ!=0) JJ=LS; + else JJ-=J0; + if((SJIS=getopt(sjis))!=1) SJIS=0; + if(JJ-J<0) return -1; + /* search from J-th to JJ-th */ + if(type(T)==1) T=[T]; + else if(type(T)==7) T = strtoascii(T); + else if(type(T)==4 && type(T[0])>3){ + for(K=(KF=-1)-J0; T!=[]; F++,T=cdr(T)){ + JK=str_str(S,car(T)|top=J,end=JJ,sjis=SJIS); + if(JK>=0){ + JJ=(K=JK)-1; KF=F; + if(J>JJ) break; + } + } + return [KF,J0+K]; + } + if(type(T)==4) T=ltov(T); + LT = length(T); + if(LT>0){ + LE = LS-LT; + LP = T[0]; + if(JJ==0 ||(type(JJ)==1 && JJ<LE)) LE=JJ; + if(type(S)==5){ + for(; J <= LE; J++){ + if(S[J] != LP){ + if(SJIS && (V=S[J])>128){ + if(V<160 || (V>223 && V<240)) J++; + } + continue; + } + for(I = 1; I < LT && S[I+J] == T[I]; I++); + if(I >= LT) return J; + } + }else if(type(S)==4){ + for(; J<=LE; S=cdr(S),J++){ + if(car(S) != LP){ + if(SJIS && (V=S[J])>128){ + if(V<160 || (V>223 && V<240)) J++; + } + continue; + } + for(ST=cdr(S), I = 1; I < LT && car(ST) == T[I]; I++, ST=cdr(ST)); + if(I >= LT) return J0+J; + } + } + } + return -1; +} + +def str_times(S,N) +{ + if(!isint(N)) return ""; + if(type(S)==7){ + for(Tb=str_tb(0,0);N-->0;) + str_tb(S,Tb); + return str_tb(0,Tb); + } + if(type(S)==4){ + for(LT=[],I=0;I<N;I++){ + if(type(car(S))==7){ + LT=cons(car(S),LT); + S=cdr(S); + if(S==[]) S=[[""]]; + }else if(type(car(S))==4){ + ST=car(S); + for(J=0;I<N;I++){ + if(J==length(ST)) J=0; + LT=cons(ST[J++],LT); + } + } + } + return reverse(LT); + } + return S; +} + +def ssubgrs(M,L) +{ + if(type(L)==7) L=s2sp(L); + for(S=0, L=L, M=M; L!=[]; L=cdr(L), M=cdr(M)){ + for(LT=car(L), MT=car(M); LT!=[]; LT=cdr(LT), MT=cdr(MT)){ + S += car(LT)*car(MT)[1]; + } + } + return S; +} + +def s2os(S) +{ + return str_subst(S,[["\\","\\\\"],["\"","\\\""]],0); +} + +def l2os(S) +{ + if(type(S)==6) + S=m2ll(S); + else if(type(S)==5) + S=vtol(S); + else if(type(S)==7) return "\""+s2os(S)+"\""; + else if(type(S)<4) return rtostr(S); + if(type(S)==4){ + for(F=0,Tb=str_tb("[",0);S!=[];S=cdr(S)){ + if(F++) str_tb(", ",Tb); + str_tb(l2os(car(S)),Tb); + } + str_tb("]",Tb); + return str_tb(0,Tb); + } + return 0; +} + +def r2os(S) +{ + if(type(S)==6){ + for(T="",S=m2ll(S);S!=[];S=cdr(S)){ + if(T!="") T=T+","+r2os(car(S)); + else T=r2os(car(S)); + } + return "mat("+T+")\n"; + }else if(type(S)==5){ + for(T="",S=v2l(S);S!=[];S=cdr(S)){ + if(T!="") T=T+","+r2os(car(S)); + else T=r2os(car(S)); + } + return "vect("+T+")\n"; + }else if(type(S)<4) return rtostr(S); + else if(type(S)==4){ + for(T="";S!=[];S=cdr(S)){ + if(T!="") T=T+","+r2os(car(S)); + else T=r2os(car(S)); + } + return "["+T+"]"; + }else if(type(S)==7) return "\""+s2os(S)+"\""; + return ""; +} + +def s2euc(S) +{ + for(R=[],CR=0,L=strtoascii(S);L!=[];L=cdr(L)){ + if((C=car(L)) == 0x1b && length(L)>1) { + if((C=car(L=cdr(L)))==0x24 && length(L)>1){ /* $ */ + if((C = car(L=cdr(L))) == 0x40 || C == 0x42) { /* @, B */ + Mode = 1; + } else return 0; + }else if(C == 0x28 && length(L)>1) { /* ( */ + if((C = car(L=cdr(L)))== 0x42 || C == 0x4a) { /* B, J */ + Mode = 0; + }else if(C == 0x49) { /* I */ + Mode = 2; + }else{ + R=cons(0x1b,R);R=cons(0x28,R);R=cons(C,R); + } + }else if (C == 0x26 && length(L)>1 && car(cdr(L))==0x1b) { /* & ESC */ + L=cdr(L); + }else{ + R=cons(0x1b,R);R=cons(C,R); + } + }else if(C == 0x0e) { + Mode = 2; + }else if(C == 0x0f) { + Mode = 0; + }else if(Mode == 1 && C>0x20 && C<0x7f && length(L)>1) { /* JIS KANJI */ + D=car(L=cdr(L)); + if(D>0x20 && D<0x7f) { + R=cons(ior(C,0x80),R);R=cons(ior(D,0x80),R); + } else return 0; + }else if(Mode == 2 && C > 0x1f && C < 0x60) { /* JIS KANA */ + R=cons(0x8e,R); R=cons(ior(C,0x80),R); + }else if(((C>0x80 && C<0xa0) || (C>0xdf && C<0xf0)) && length(L)>1) { /* ShiftJIS */ + D=car(L=cdr(L)); + if(D>0x3f && D<0xfd && D!=0x7f) { + T=sjis2jis([C,D]); + R=cons(ior(T[0],0x80),R); R=cons(ior(T[1],0x80),R); + }else return 0; + }else if(C>0x9f && C<0xe0) { /* HanKana */ + R=cons(0x8e,R); R=cons(C,R); + }else if(C == 0x0a){ + CR++; + }else if(C == 0x0d){ + R=cons(0x0d,R); + CR=0; + }else{ + while(CR-->0) R=cons(0x0d,R); + R=cons(C,R); + } + } + while(CR-->0) R=cons(0x0d,R); + return asciitostr(reverse(R)); +} + +def s2sjis(S) +{ + for(R=[],CR=0,L=strtoascii(S);L!=[];L=cdr(L)){ + if((C=car(L)) == 0x1b && length(L)>1) { + if((C=car(L=cdr(L)))==0x24 && length(L)>1){ /* $ */ + if((C = car(L=cdr(L))) == 0x40 || C == 0x42) { /* @, B */ + Mode = 1; + } else return 0; + }else if(C == 0x28 && length(L)>1) { /* ( */ + if((C = car(L=cdr(L)))== 0x42 || C == 0x4a) { /* B, J */ + Mode = 0; + }else if(C == 0x49) { /* I */ + Mode = 2; + }else{ + R=cons(0x1b,R);R=cons(0x28,R);R=cons(C,R); + } + }else if (C == 0x26 && length(L)>1 && car(cdr(L))==0x1b) { /* & ESC */ + L=cdr(L); + }else{ + R=cons(0x1b,R);R=cons(C,R); + } + }else if(C == 0x0e) { + Mode = 2; + }else if(C == 0x0f) { + Mode = 0; + }else if(Mode == 1 && C>0x20 && C<0x7f && length(L)>1) { /* JIS KANJI */ + D=car(L=cdr(L)); + if(D>0x20 && D<0x7f) { + T=jis2sjis([C,D]); + R=cons(T[0],R);R=cons(T[1],R); + } else return 0; + }else if(Mode == 2 && C > 0x1f && C < 0x60) { /* JIS KANA */ + R=cons(ior(C,0x80),R); + }else if(C>0xa0 && C<0xff && length(L)>1) { /* EUC */ + D=car(L=cdr(L)); + if(D>0xa0 && D<0xff) { + T=jis2sjis([iand(C,0x7f),iand(D,0x7f)]); + R=cons(T[0],R);R=cons(T[1],R); + }else return 0; + }else if(C == 0x0a){ + CR++; + }else if(C == 0x0d){ + R=cons(0x0a,R);R=cons(0x0d,R); + CR=0; + }else{ + while(CR-->0){ + R=cons(0x0a,R);R=cons(0x0d,R); + } + R=cons(C,R); + } + } + while(CR-->0){ + R=cons(0x0a,R);R=cons(0x0d,R); + } + return asciitostr(reverse(R)); +} + +def r2ma(S) +{ + return evalma(S|inv=1); +} + +def evalma(S) +{ + L0=["\n","\d","{","}","[","]","Log","Exp","Sinh","Cosh","Tanh","Sin","Cos","Tan", + "ArcSin","ArcCos","ArcTan"]; + L1=["", "" ,"[","]","(",")","log","exp","sinh","cosh","tanh","sin","cos","tan", + "asin", "acos", "atan"]; + if(getopt(inv)==1){ + if(type(S)==6) S=m2ll(S); + else if(type(S)==5) S=vtol(S); + if(type(S)==4){ + for(L=[];S!=[];S=cdr(S)){ + if(type(car(S))==6) L=cons(m2ll(car(S)),L); + else if(type(car(S))==5) L=cons(vtol(car(S)),L); + else L=cons(car(S),L); + } + S=reverse(L); + }else return 0; + return str_subst(rtostr(S),cdr(cdr(L1)),cdr(cdr(L0))); + } + if(S==0){ + print("Mathematica text (terminated by ;) ?"); + purge_stdin(); + Tb=str_tb(0,0); + for(;;){ + S=get_line(); + str_tb(S,Tb); + if(str_char(S,0,";")>=0) break; + } + S=str_tb(0,Tb); + } +/* + while((P=str_chr(S,0,";"))>=0){ + V0=evalma(str_cut(S,0,P+1)); + S=str_cut(S,P+1,length(S)); + } + if((P=str_char(S,0,"="))>=0){ + X=strtoascii(str_cut(S,0,P)); + L=length(X); + for(P0=P1=-1,I=0;I<L;I++){ + if(L(I)<=32) continue; + if(isalphanum(L[I])){ + if(P0<0){ + if(isnum(L[I])) break; + P0=I; + } + else if(P1!=I+1) break; + P1=I; + } + } + if(I==L && P0>=0){ + for(I==P0;I-->0;) X=cdr(X); + if((X0=car(X))>96) X0-=32; + Y=[X0];X=cdr(X); + for(I=P1-P0;I-->0;X=cdr(X)) + Y=cons(car(X),Y); + Y=cons(61,Y); + Var=asciitostr(reverse(Y)); + S=str_cut(S,P,length(S)); + } + } +*/ + S=eval_str(str_subst(S,L0,L1)); + if(type(S)==4){ + for(L=-1,T=S;T!=[];T=cdr(T)){ + if(type(T0=car(T))>4) break; + if(type(T0)<4){ + if(L>=0) break; + L=-2;continue; + } + if(L<-2) break; + if(L==-1) L=length(T0); + else if(L!=length(T0)) break; + } + if(T==[]){ + if(L>0) S=s2m(S); + else S=ltov(S); + } + } +/* + if(S==0 && V0!=0) return V0; + if(type(Var)==7){ + T=rtostr(S); + if(type(S)==7) T="\""+T+"\""; + S=eval_str(Var+T); + mycat(["Define",Var]); + } +*/ + return S; +} + +def i2hex(N) +{ + Opt=getopt(); + if(type(N)==4 && isint(car(N))){ +#ifdef USEMODULE + L=mtransbys(os_md.i2hex,N,[]|option_list=Opt); +#else + L=mtransbys(i2hex,N,[]|option_list=Opt); +#endif + return rtostr(L); + } + if(!isint(N) || N<0) return 0; + if(!N) L=[]; + else{ + Cap=(getopt(cap)==1)?32:0; + for(L=[];N!=0;N=ishift(N,4)){ + J=iand(N,15); + L=cons(((J>9)?(87-Cap):48)+J,L); + } + } + if(!isint(Min=getopt(min))) Min=2; + for(Min-=length(L);Min-->0;) + L=cons(48,L); + if(getopt(num)==1){ + L=cons(120,L);L=cons(48,L); + } + return asciitostr(L); +} + +def sjis2jis(L) +{ + L1=L[1]; + if((L0=L[0])<=0x9f){ + if(L1<0x9f) L0=L0*2-0xe1; + else L0=(L0*2)-0xe0; + }else{ + if(L1<0x9f) L0=L0*2-0x161; + else L0=L0*2-0x160; + } + if(L1<0x7f) return [L0,L1-0x1f]; + else if(L1<0x9f) return [L0,L1-0x20]; + return [L0,L1-0x7e]; +} + +def jis2sjis(L) +{ + L1=L[1]; + if(iand(L0=L[0],1)){ + if(L1<0x60) L=[L1+0x1f]; + else L=[L1+0x20]; + }else L=[L1+0x7e]; + if(L0<0x5f) return cons(ishift(L0+0xe1,1),L); + return cons(ishift(L0+0x161,1),L); +} + +def verb_tex_form(P) +{ + L = reverse(strtoascii(rtostr(P))); + for(SS = []; L != []; L = cdr(L)){ + Ch = car(L); /* ^~\{} */ + if(Ch == 92 || Ch == 94 || Ch == 123 || Ch == 125 || Ch == 126){ + SS = append([92,Ch,123,125],SS); /* \Ch{} */ + if(Ch != 94 && Ch != 126) /* \char` */ + SS = append([92,99,104,97,114,96],SS); + continue; + } + SS = cons(Ch, SS); + if((Ch >= 35 && Ch <= 38) || Ch == 95) /* #$%&_ */ + SS = cons(92, SS); /* \Ch */ + } + return asciitostr(SS); +} + +def tex_cuteq(S,P) +{ + if(P==0) return 0; + if(S[P]==125){ /* } */ + if((Q=str_pair(S,P-1,"{","}"|inv=1))<0) return -1; + if(Q<2||S[Q-1]!=95) return Q; + return tex_cuteq(S,Q-2); + } + if(!isalphanum(S[Q=P--])) return -1; + while(P>0&&isalphanum(S[P])) P--; + if(S[P]==92){ /* \ */ + if(P==0) return P; + else P--; + } + if(S[P]!=95||P==0) return Q; /* _ */ + return tex_cuteq(S,P-1); +} + + +def texket(S) +{ + if(!isint(F=getopt(all))) F=0; + if(type(S)==7){ + L=str_len(S); + SS=strtoascii(S); + }else{ + L=length(S); + SS=S; + } + for(T="",I=I0=0;I<L-1;){ + J=str_char(SS,I,"("); + if(J<0) break; + if(J<L-1 && J>4 && str_str(SS,"\\left"|top=J-5,end=J-1)>=0){ + I=J+1;continue; + } + if((K=str_pair(SS,J+1,"(",")"))>=0){ + KK=str_char(SS,J+2,"("); + if(KK>K||KK<0){ + if(F!=1){ + if(!F){ + for(N=J+1;N<K;N++) /* + - _ { } */ + if(!isalphanum(P=SS[N])&&findin(P,[32,43,45,95,123,125])<0) break; + }else N=K; + if(N==K){ + I=K+1;continue; + } + } + T=T+str_cut(SS,I0,J-1)+"\\left"+str_cut(SS,J,K-1)+"\\right)"; + I0=I=K+1; + }else{ + T=T+str_cut(SS,I0,J-1)+"\\left("+texket(str_cut(SS,J+1,K-1)|all=F) +"\\right)"; + I0=I=K+1; + } + }else break; + } + return T+str_cut(SS,I0,L); +} + + +def my_tex_form(S) +{ + if(getopt(skip) != 1){ + if(type(S)==1 && S<0) return "-"+print_tex_form(-S); + if(type(S)==6) return mtotex(S); + S = print_tex_form(S); + for(F=Top=0;(L=str_str(S,"\\verb`"|top=Top))>=0;Top=LV+1){ + F++; + if(Top==0) Tb = string_to_tb(""); + LV = str_chr(S, L+6, "`"); + if(LV<0) LV=str_len(S); + str_tb([my_tex_form(sub_str(S, Top, L-1)|skip=1), "\\texttt{"], Tb); + str_tb([verb_tex_form(sub_str(S,L+6, LV-1)),"}"], Tb); + Top=LV+1; + } + if(F>0){ + str_tb(my_tex_form(sub_str(S, Top,str_len(S)-1)|skip=1), Tb); + return tb_to_string(Tb); + } + } + if(S==0) return ""; + S = ltov(strtoascii(S)); + L = length(S)-1; + while(L >= 1 && S[L] == 10) + L--; + if((Fr=getopt(frac))!=0 && Fr!=1) Fr=2; + for(I = L+1, T = K = 0, SS = []; --I >= 0; ){ + if(S[I] == 32 && I!=L){ + if(I==L) continue; + if(findin(S[I+1], [32,40,41,43,45,123,125]) >= 0 /* " ()+-{}" */ + || (S[I+1] >= 49 && S[I+1] <= 57)) /* 1 - 9 */ + if(I == 0 || S[I-1] >= 32) continue; + } + if(Fr && S[I]>=48 && S[I]<=57){ /* 2/3 -> \tfrac{2}{3} */ + for(K=0,II=I; II>=0; II--){ + if(S[II]>=48 && S[II]<=57) continue; + if(S[II]==47){ /* / */ + if(K>0) break; + K=II; + }else break; + } + if(K>II+1){ + SS=cons(125,SS); + for(J=I; J>K; J--) SS=cons(S[J],SS); + if(AMSTeX){ + SS=cons(123,SS);SS=cons(125,SS); + }else{ + for(J=[114,101,118,111,92];J!=[];J=cdr(J)) /* \over */ + SS=cons(car(J),SS); + } + for(J=K-1;J>II;J--) SS=cons(S[J],SS); + SS=cons(123,SS); + if(AMSTeX){ + J=(Fr==2)?[99,97,114,102,116,92]:[99,97,114,102,92]; + for(;J!=[];J=cdr(J)) /* \tfrac */ + SS=cons(car(J),SS); + } + I=II+1; + }else{ + for(;I>II;I--) SS = cons(S[I], SS); + I++; + } + continue; + } + SS = cons(S[I], SS); + } + SS=str_subst(SS,"\\\\\n\\end{pmatrix}","\n\\end{pmatrix}"|raw=1); + Subst=getopt(subst); + Sub0=["{asin}","{acos}","{atan}"]; + Sub1=["\\arcsin ","\\arccos","\\arctan "]; + if(type(Subst) == 4){ + Sub0=append(Sub0,Subst[0]);Sub1=append(Sub1,Subst[1]); + } + SS = str_subst(SS,Sub0,Sub1|raw=1); + S = ltov(SS); + L = length(S); + SS = []; + while(--L >= 0){ + if(S[I=L] == 125){ + while(--I >= 0 && S[I] == 125); + J = 2*I - L; + if(J >= 0 && S[I] != 123){ + for(K = J; K < I && S[K] == 123; K++); + if(K == I){ + if(J-- <= 0 || S[J] < 65 || S[J] > 122 || (S[J] > 90 && S[J] < 97)){ + SS = cons(S[I],SS); + L = J+1; + continue; + } + } + } + } + SS = cons(S[L],SS); + } + RT=getopt(root); + for(Top=0;;Top++){ /* ((x+1))^{y} , 1/y=2,3,...,9 */ +#if 1 + P=str_str(SS,["))^","^{\\tfrac{1}"]|top=Top); + if(P[0]<0) break; + Sq=0; + if(P[0]==0){ + P=P[1]; + if((Q=str_pair(SS,P,"(",")"|inv=1))<0||SS[Q+1]!=40) continue; + if((RT==2||(RT!=0 && P-Q<33)) && str_str(SS,"{\\tfrac{1}"|top=P+3,end=P+3)==P+3 + && SS[P+14]==125){ + if((Sq=SS[P+13]-48)<2||Sq>9) Sq=0; + } + F=2; + }else{ + P=P[1]; + if(SS[P+12]!=125||(Sq=(SS[P+11]-48))<2||Sq>9) break; + if(SS[P-1]==125){ + if((Q=str_pair(SS,P-2,"{","}"|inv=1))<0) break; + if(Q>1&&SS[Q-1]==95){ + if((Q=tex_cuteq(SS,Q-2))<0) break; + F=0; + }else F=1; + }else{ + if(!isalphanum(SS[Q=P-1]) || (Q=tex_cuteq(SS,Q))<0) break; + F=0; + } + if(RT!=2&&P-Q>32) break; + } +#else + if((P=str_str(SS,"))^"|top=Top))<0 || (Q=str_pair(SS,P,"(",")"|inv=1))<0) break; + else F=2; + Sq=0; + if((RT==2||(RT!=0 && P-Q<33)) && str_str(SS,"{\\tfrac{1}"|top=P+3,end=P+3)==P+3 + && SS[P+14]==125){ + if((Sq=SS[P+13]-48)<2||Sq>9) Sq=0; + } +#endif + for(I=0,S=[];SS!=[];SS=cdr(SS),I++){ + if(I==Q){ + if(Sq){ + S=append([116,114,113,115,92],S); + if(Sq>2) S=append([93,Sq+48,91],S); + S=cons(123,S); + if(F==2) SS=cdr(SS); + else if(F==0) S=cons(car(SS),S); + }else if(F==2&&P-Q==3){ /* (2)^x -> 2^x*/ + SS=cdr(SS);SS=cdr(SS); + S=cons(123,S);S=cons(car(SS),S);S=cons(125,S); + SS=cdr(SS);SS=cdr(SS); + I+=3; + } + continue; + }else if(I==P){ + if(Sq){ + if(F>0) S=cdr(S); + S=cons(125,S); + if(F==2) SS=cdr(SS); + for(J=0;J<12;J++) SS=cdr(SS); + } + continue; + } + S=cons(car(SS),S); + } + SS=reverse(S); + Top=P; + } + S=asciitostr(SS); + if((K=getopt(ket))==1) S=texket(S); + else if(K==2) S=texket(S|all=1); + return S; +} + +def smallmattex(S) +{ + return str_subst(S,[["\\begin{pmatrix}","\\left(\\begin{smallmatrix}"], + ["\\end{pmatrix}","\\end{smallmatrix}\\right)"], + ["\\begin{Bmatrix}","\\left\\{\\begin{smallmatrix}"], + ["\\end{Bmatrix}","\\end{smallmatrix}\\right\\}"], + ["\\begin{bmatrix}","\\left[{\\begin{smallmatrix}"], + ["\\end{bmatrix}","\\end{smallmatrix}\\right]"], + ["\\begin{vmatrix}","\\left|\\begin{smallmatrix}"], + ["\\end{vmatrix}","\\end{smallmatrix}\\right|"], + ["\\begin{Vmatrix}","\\left\\|\\begin{smallmatrix}"], + ["\\end{Vmatrix}","\\end{smallmatrix}\\right\\|"], + ["\\begin{matrix}","\\begin{smallmatrix}"], + ["\\end{matrix}","\\end{smallmatrix}"]],0); +} + + +def divmattex(S,T) +{ + TF=["matrix","pmatrix","Bmatrix","bmatrix","vmatrix","Vmatrix"]; + TG=[0,"(","\\{","[","|","\\|"]; + TH=[0,")","\\}","]","|","\\|"]; + if(type(S)!=7) S=mtotex(S); + S=strtoascii(S0=S); + if((P0=str_str(S,"\\begin{"))<0 || (P1=str_str(S,"}"|top=P0+7))<0) + return S0; + F=str_cut(S,P0+7,P1-1); + if((K=findin(F,TF))<0) return S0; + Q=str_str(S,"\\end{"+F+"}"); + if(Q<0) return S0; + for(J=P1+1;S[J]<33;J++); + for(L0=L=[],I=J;J<Q;J++){ + if(S[J]==38){ /* & */ + if(I>=J) L0=cons(0,L0); + else L0=cons(str_cut(S,I,J-1),L0); + I=J+1; + } + if(S[J]==92&&S[J+1]==92){ /* \\ */ + if(I>=J) L0=cons(0,L0); + else L0=cons(str_cut(S,I,J-1),L0); + L=cons(reverse(L0),L); + L0=[]; + J++; + for(I=J+1;S[I]<33;I++); + } + } + J--; + if(S[J]<33) J--; + if(I<=J) L0=cons(str_cut(S,I,J),L0); + if(length(L0)>0) L=cons(reverse(L0),L); + L=lv2m(reverse(L)); /* get matrix */ + if(T==0) return L; + Size=size(L);S0=Size[0]; + if(type(T[0])!=4){ + S1=Size[1]; + T=append(T,[S1]); + for(TT=[],I=0;T!=[];T=cdr(T)){ + J=car(T); + if(J>S1) J=S1; + for(T0=[];J>I;J--) T0=cons(J-1,T0); + if(T0!=[]) TT=cons(T0,TT); + I=car(T); + } + T=reverse(TT); + } + SS=length(T); + St=str_tb(0,0); + if(SS==1) St=str_tb("\\begin{"+F+"}\n",St); + else{ + if(K>0) St=str_tb("&\\left"+TG[K],St); + St=str_tb("\\begin{matrix}\n",St); + } + for(;T!=[];T=cdr(T)){ + for(I=0;I<S0;I++){ + for(J=0,TT=car(T);TT!=[];TT=cdr(TT),J++){ + if(J>0) St=str_tb("&",St); + if(L[I][car(TT)]!=0) St=str_tb(L[I][car(TT)],St); + } + if(I<S0-1) St=str_tb("\\\\",St); + St=str_tb("\n",St); + } + if(length(T)>1) + St=str_tb("\\end{matrix}\\right.\\\\\n&\\quad\\left.\\begin{matrix}\n",St); + else{ + if(SS==1) St=str_tb("\\end{"+F+"}\n",St); + else St=str_tb("\\end{matrix}\\right"+TH[K]+"\n",St); + } + } + S=str_tb(0,St); + if(SS==1) return S; + return texbegin("align*",S); +} + +def str_subst(S, L0, L1) +{ + if(type(S) == 7) + S = strtoascii(S); + if(type(S) == 4) + S = ltov(S); + SE = length(S); + if(L1 == 0){ + for(L1 = L = [], L0 = reverse(L0); L0 != []; L0 = cdr(L0)){ + L = cons(car(L0)[0], L); + L1 = cons(car(L0)[1], L1); + } + L0 = L; + } + if(type(L0)==7) L0 = [strtoascii(L0)]; + else{ + for(LT = []; L0 != []; L0 = cdr(L0)) + LT = cons(strtoascii(car(L0)), LT); + L0 = ltov(LT); + } + E0 = length(L0); + if(type(L1)==7) L1 = [strtoascii(L1)]; + else{ + for(LT = []; L1 != []; L1 = cdr(L1)) + LT = cons(strtoascii(car(L1)), LT); + L1 = ltov(LT); + } + if(getopt(inv)==1){ + L2=L0;L0=L1;L0=L2; + } + if((SJIS=getopt(sjis))!=1) SJIS=0; + for(J = JJ = 0, ST = []; J < SE; J++){ + SP = S[J]; + for(I = E0-1; I >= 0; I--){ + if(SP != L0[I][0] || J + (K = length(L0[I])) > SE) + continue; + while(--K >= 1) + if(L0[I][K] != S[J+K]) break; + if(K > 0) continue; + for(KE = length(L1[I]), K = 0 ;K < KE; K++) + ST = cons(L1[I][K],ST); + J += length(L0[I])-1; + break; + } + if(I < 0){ + ST = cons(S[J],ST); + if(SJIS && (V=S[J])>128){ + if(V<160 || (V>223 && V<240)) ST = cons(S[J++],ST); + } + } + } + if(getopt(raw)==1) return reverse(ST); + return asciitostr(reverse(ST)); +} + +def dviout0(L) +{ + Cmd=["TikZ","TeXLim","TeXEq","DVIOUT","XYPrec","XYcm","XYLim","Canvas"]; + if(type(Opt=getopt(opt))==7){ + if((F=findin(Opt,Cmd)) < 0) return -1; + if(L==-1){ + if(F<=3){ + if(F==0) V=TikZ; + else if(F==1) V=TeXLim; + else if(F==2) V=TeXEq; + else V=iand(DVIOUTF,1); + }else{ + if(F==4) V=XYPrec; + else if(F==5) V=XYcm; + else if(F==6) V=XYLim; + else V=Canvas; + } + return V; + } + if(F==0) TikZ=L; + else if(F==2) TeXEq=L; + else if(F==3){ + if(iand(DVIOUTF,1)==L) + mycat0(["DVIOUTA=\"", DVIOUTA,"\""],1); + else dviout0(4); + return 1; + }else if(F==7&&type(L)==4) + Canvas=L; + else if(L>0){ + if(F==1) TeXLim=L; + else if(F==4) XYPrec=L; + else if(F==5) XYcm=L; + else if(F==6) XYLim=L; + } + mycat0([Cmd[F],"=",L],1); + return 1; + } + if(type(L) == 4){ + for( ; L != []; L = cdr(L)) dviout0(car(L)); + return 1; + } + if(type(L) == 7){ + if(L=="") dviout(" \n"|keep=1); + else if(L=="cls") dviout0(0); + else if(L=="show") dviout(" "); + else if(L=="?") dviout0(3); + else dviout("\\"+L+"\n"|keep=1); + return 1; + } + if(L == 0) + dviout(" "|keep=1,clear=1); + else if(L == 1) + dviout(" "); + else if(L == 2) + dviout(" "|clear=1); + else if(L>10) + dviout("\\setcounter{MaxMatrixCols}{"+rtostr(L)+"}%"|keep=1); + else if(L < 0) + dviout(" "|delete=-L,keep=1); + else if(L == 3){ + mycat0(["DIROUT =\"", DIROUT,"\""],1); + mycat0(["DVIOUTH=\"", DVIOUTH,"\""],1); + mycat0(["DVIOUTA=\"", DVIOUTA,"\""],1); + mycat0(["DVIOUTB=\"", DVIOUTB,"\""],1); + mycat0(["DVIOUTL=\"", DVIOUTL,"\""],1); + mycat(["Canvas =", Canvas]); + mycat(["TeXLim =", TeXLim]); + mycat(["TeXEq =", TeXEq]); + mycat(["AMSTeX =", AMSTeX]); + mycat(["TikZ =", TikZ]); + mycat(["XYPrec =", XYPrec]); + mycat(["XYcm =", XYcm]); + mycat(["XYLim =", XYLim]); + }else if(L==4){ + Tmp=DVIOUTA; DVIOUTA=DVIOUTB; DVIOUTB=Tmp; + mycat0(["DVIOUTA=\"", DVIOUTA,"\""],1); + DVIOUTF++; + }else if(L==5){ + if(!iand(DVIOUTF,1)) dviout0(4); + }else if(L==6){ + TikZ=1;mycat("TikZ=1"); + }else if(L==7){ + TikZ=0;mycat("TikZ=0"); + } + return 1; +} + +def myhelp(T) +{ + /* extern DVIOUT; */ + /* extern HDVI; */ + /* extern DVIOUTH; */ + + if(type(T)==2){ + if(T==getbygrs){ + getbygrs(0,0); + return 0; + } + else if(T==m2mc){ + m2mc(0,0); + return 0; + } + else if(T==mgen){ + mgen(0,0,0,0); + return 0; + } + else T=rtostr(T); + } + if(type(T)==4 && typeT[0]==7){ + if(length(T)==2 && type(T[1])==1){ + DVIOUTH="start "+T[0]+" -"+rtostr(T[1])+"-hyper:0x90 \"%ASIRROOT%\\help\\os_muldif.dvi\" #r:%LABEL%"; + }else if(str_len(T[0])>2) DVIOUTH=T[0]; + mycat(["DVIOUTH="+DVIOUTH,"\nmyhelp(fn) is set!"]); + return 0; + } + if(T==0){ + mycat([ + "myhelp(t) : show help\n", +#ifdef USEMODULE + " t : -1 (dvi), 1 (pdf) or os_md.getbygrs, os_md.m2mc, os_md.mgen\n", +#else + " t : -1 (dvi), 1 (pdf) or getbygrs, m2mc, mgen\n", +#endif + " \"fn\" : Help of the function fn\n", + " [path,n] : path of dviout, n = # dviout\n", + " [DVIOUTH] : Way to jump to the help of a function\n", + " default: start dviout -2 \"%ASIRTOOT%\\help\\os_muldif.dvi\" #r:%LABEL%" + ]); + return 0; + } + if(type(T)==7){ + if(str_str(T,"os_md.")==0) T=str_cut(T,6,str_len(T)-1); + Dr=str_subst(DVIOUTH,["%ASIRROOT%","%LABEL%"],[get_rootdir(),"r:"+str_subst(T,"_","")]); + shell(Dr); + return 0; + } + Dr=get_rootdir(); + if(T==-1) Dr+="\\help\\os_muldif.dvi"; + else Dr+="\\help\\os_muldif.pdf"; + if(!isMs()) Dr=str_subst(Dr,"\\","/"); + shell(Dr); + return 0; +} + +def isMs() +{ + if(type(Tmp=getenv("TEMP"))!=7) { + if (type(Tmp=getenv("TMP")) != 7) Tmp=getenv("HOME"); + } + if(type(Tmp)==7 && str_chr(Tmp,0,"\\")==2) return 1; + else return 0; +} + +def tocsv(L) +{ + if(type(L)==6) L=m2ll(L); + else if(type(L)==5) L=vtol(L); + Null=getopt(null); + Tb=str_tb(0,0); + for(LL=L; LL!=[]; LL=cdr(LL)){ + LT=car(LL); + if(type(LT)==5) LT=vtol(LT); + if(type(LT)<4) LT=[LT]; + for(N=0; LT!=[]; LT=cdr(LT),N++){ + if(N) str_tb(", ",Tb); + if((T=car(LT))==Null) continue; + if(type(T)==7){ + K=str_len(T); + T=str_subst(T,["\""],["\"\""]); + if(str_len(T)>K||str_char(T,0,",")>=0) T="\""+T+"\""; + str_tb(T,Tb); + }else str_tb(rtostr(T),Tb); + } + str_tb("\n",Tb); + } + S=str_tb(0,Tb); + if(type(EXE=getopt(exe))!=1&&EXE!=0&&type(EXE)!=7) return S; + if(type(F)!=7){ + fcat(-1,0); + F="risaout"; + if(EXE>=2&&EXE<=9) F+=rtostr(EXE); + F=DIROUTD+F+".csv"; + }else F=S; + if(EXE!=0 && access(F)) remove_file(F); + fcat(F,S|exe=1); + return 1; +} + +def readcsv(F) +{ + if((ID=open_file(F))<0) return -1; + SJIS=isMs(); + L=[]; + if(type(V=getopt(eval))!=4){ + if(V=="all") V=1; + else if(type(V)==1) V=[V]; + else V=[]; + } + Eq=getopt(eq); + Sp=getopt(sp); + if(type(T=getopt(col))!=1) T=0; + Null=getopt(null); + if(type(Null)<0) Null=(Eq==1)?0:""; + while((S=get_line(ID))!=0){ + S=strtoascii(S); + N=length(S); + for(I=J=F=0,LL=LT=[];I<N;I++){ + C=S[I]; + if(F==0){ + if(C<=32) continue; + if(C==34){F=2;continue;} + F=1; + } + if(F==2 && C==34){ + if(I<N-1&& S[I+1]==34){ + LT=cons(34,LT);I++;continue; + } + F=-2; + } + if(F==1){ + if((C==44&&Sp!=1)||(C<=32&&Sp==1)) F=-1; + else if(C<32 && C!=9) continue; + } + if(SJIS && I<N-1 && ((C>128 && C<160)||(C>223 && C<240))){ + LT=cons(C,LT);LT=cons(S[++I],LT);continue; + } + if(F>0){ + LT=cons(C,LT);continue; + } + LS=asciitostr(reverse(LT)); + if(V==1||findin(++J,V)>=0){ + if(Eq==1) LS=(LS=="")?Null:eval_str(LS); + else LS=(isdecimal(LS))?eval_str(LS):((LS=="")?Null:LS); + } + if(!T || T==J) LL=cons(LS,LL); + if(F==-2) while(++I<N && Sp!=1 && S[I]!=44); + F=0;LT=[]; + } + if(I<=N && (Sp!=1 || length(LT)>0)){ /* lastline */ + LS=asciitostr(reverse(LT)); + if(V==1||findin(++J,V)>=0){ + if(Eq==1) LS=(LS=="")?Null:eval_str(LS); + else LS=(isdecimal(LS))?eval_str(LS):((LS=="")?Null:LS); + } + if(!T || T==J) LL=cons(LS,LL); + } + L=cons(reverse(LL),L); + } + close_file(ID); + if(T) L=m2l(L|flat=1); + L=reverse(L); + return L; +} + +def showbyshell(S) +{ + Id = getbyshell(S); + if(Id<0) return Id; + while((S=get_line(Id))!=0) print(S,2); + return close_file(Id); +} + + +def getbyshell(S) +{ + /* extern DIROUT; */ + + Home=getenv("HOME"); + if(type(Home)!=7) Home=""; + if(type(Tmp=getenv("TEMP"))!=7 && type(Tmp=getenv("TMP")) != 7) + Tmp=str_subst(DIROUT,["%HOME%","%ASIRROOT%"],[Home,get_rootdir()]); + Sep=isMs()?"\\":"/"; + F=Tmp+Sep+"muldif.tmp"; + if(type(S)<=1 && S>=0) close_file(S); + remove_file(F); + if(type(S)<=1) return -1; + shell(S+" > \""+F+"\""); + return open_file(F); +} + +def show(P) +{ + T=type(P); + S=P; + Var=getopt(opt); + if(Var=="verb"){ + dviout("{\\tt"+verb_tex_form(T)+"}\n\n"); + return; + } + if(type(Var)<0) Var=getopt(var); + if(T==6){ + if((Sp=getopt(sp))==1 || Sp==2) + S=mtotex(P|lim=1,small=2,sp=Sp,null=1,mat="B"); + else if(type(Var)==4 || type(Var)==7) + S=mtotex(P|lim=1,small=2,var=Var); + else + S=mtotex(P|lim=1,small=2); + Size=size(P); + Size=(Size[0]>Size[1])?Size[0]:Size[1]; + if(Size>10) dviout0(Size); + }else if(T<=3){ + X=0; + if(Var=="pfrac") X=var(P); + else X=getopt(pfrac); + if(isvar(X)){ + pfrac(P,X|dviout=1); + return; + } + Opt=cons(["dviout",1],getopt()); + if(type(Var)==2||type(Var)==4||type(Var)==7) fctrtos(P|option_list=Opt); + else{ + if(isdif(P)!=0) Opt=cons(["var","dif"],Opt); + else Opt=cons(["br",1],Opt); + fctrtos(P|option_list=Opt); + } + return; + }else if(T==4){ + if(type(Var)==4 || type(Var)==7){ + S=ltotex(P|option_list=getopt()); + if(Var=="text"){ + dviout(S); + return; + } + }else{ + for(F=0,L=P;L!=[] && F!=-1;L=cdr(L)){ + LL=car(L); + if(type(LL)==4){ + if(F==0){ + T=type(LL[0]); + if(T==4) F=2; /* [[[? */ + else if(T==1 || T==0) F=1; /* [[num,.. */ + } + if(F==1){ + if(length(LL)!=2 || !isint(LL[0]) || LL[0]<0 || type(LL[1])>3) + F=-1; /* [[num,rat],[num,rat],...] */ + }else if(F==2){ + for(LLT=LL; LLT!=[] && F!=-1; LLT=cdr(LLT)){ + LLL=car(LLT); /* [[[num,rat],[num,rat],...],[[..],..]],....] */ + if(length(LLL)!=2 || !isint(LLL[0]) || LLL[0]<0 || type(LLL[1])>3) + F=-1; + } + } + }else if((F==0 || F==7) && type(LL)==7){ + F=7; + }else F=-1; + } + if(F==1) S=ltotex(P|opt="spt"); + else if(F==2){ + M=mtranspose(lv2m(S)); + show(M|sp=1); /* GRS */ + return; + }else if(F==7) S=ltotex(P|opt="spts"); + else{ + for(F=0,L=P;L!=[] && F!=-1;L=cdr(L)){ + LL=car(L); + if(type(LL)!=4){ + F=-1; break; + } + for(LLT=LL; LLT!=[] && F!=-1; LLT=cdr(LLT)){ + T=type(LLL=car(LLT)); + if(T<7 && T!=4) F0++; + else if(T==7){ + if(str_char(LLL,0,"\\")<0) F1++; + else F2++; + }else F=-1; + } + } + } + if(F==0 && F0>0 && (F1+F2)>0){ /* list of list of eq and str */ + if(F2>0) S=ltotex(P|opt=["cr","spts0"],str=1); + else S=ltotex(P|opt=["cr","spts"]); + }else{ + for(S="[";;){ + S+=my_tex_form(car(P)); + if((P=cdr(P))==[]){ + S+="]";break; + } + S+=","; + } + } + } + }else if(T==7){ + if(Var=="raw" || + (Var !="eq" && str_chr(P,0,"\\")<0 && str_char(P,0,"^")<0 && str_char(P,0,"_")<0 + && str_char(P,0,"&")<0)){ + dviout(P+"\n\n"); + return; + } + } + dviout(S|eq=5); +} + + +/* options : eq = 1 - 8, clear=1, keep=1, delete=1, title=s, + fctr=1, begin=s */ +def dviout(L) +{ + /* extern AMSTeX, TeXEq, DIROUT, DVIOUTA, DVIOUTB, DVIOUTL; */ + + MyEq = [ + ["\\[\n ","\\]"], + ["\\begin{align}\n","\\end{align}"], + ["\\begin{gather}\n ","\\end{gather}"], + ["\\begin{multline}\n ","\\\\[-15pt]\\end{multline}"], + ["\\begin{align}\\begin{split}\n &","\\end{split}\\end{align}"], + ["\\begin{align*}\n &","\\end{align*}"], + ["\\begin{gather*}\n ","\\end{gather*}"], + ["\\begin{equation}\n ","\\end{equation}"] + ]; + if(!chkfun("print_tex_form", "names.rr")) + return 0; + Home=getenv("HOME"); + if(type(Home)!=7) Home=""; + Dir=str_subst(DIROUT,["%HOME%","%ASIRROOT%","\\"],[Home,get_rootdir(),"/"]); + Dirout=Dir+(AMSTeX?"/out.tex":"/out0.tex"); + Risaout=(AMSTeX)?"risaout":"risaout0"; + Dirisa=Dir+"/"+Risaout+".tex"; + Viewer="dviout"; + SV=["c:/w32tex/dviout","c:/dviout"]; + Risatex=str_subst(AMSTeX?DVIOUTA:DVIOUTL, + ["%HOME%","%ASIRROOT%","%TikZ%"],[Home,get_rootdir(),rtostr(TikZ)]); + if(isMs() && !access(Risatex)){ + for(TV=SV; TV!=[]; TV=cdr(TV)){ + VV=car(TV)+"/dviout.exe"; + if(access(VV)){ + Viewer=str_subst(VV,"/","\\"); + break; + } + } + output(Risatex); + print("cd \""+str_subst(Dir,"/","\\")+"\""); + print("latex -src=cr,display,hbox,math,par "+Risaout); + print("start "+Viewer+" -1 \""+Dr+"\\tex\\"+Risaout+"\" 1000"); + output(); + } + if(access(Dirisa) == 0){ + D0="\""+(isMs()?str_subst(Dir,"/","\\")+"\"":Dir); + shell("mkdir "+D0); + output(Dirisa); + if(AMSTeX){ + print("\\documentclass[a4paper]{amsart}"); + print("\\usepackage{amsmath,amssymb,amsfonts}"); + }else + print("\\documentclass[a4paper]{article}"); + print("\\pagestyle{empty}\n\\begin{document}\n\\thispagestyle{empty}"); + print(AMSTeX?"\\input{out}\n\\end{document}":"\\input{out0}\n\\end{document}"); + output(); + } + if((K = getopt(delete)) >= 1){ /* delete */ + LC = 0; + if(type(K) == 1 && K > 10) K = 10; + if(type(K) == 4){ + K = qsort(K); + LC = 1; /* specific lines */ + } + Done = 1; + Id = open_file(Dirout); + if(Id >= 0){ + Buf = Buf0 = Buf1 = Key = ""; + PE = 0; + if(type(K) == 1) + BufE = newvect(K--); + Dout = Dirout+"0"; + remove_file(Dout); + output(Dout); + while((S = get_line(Id)) != 0){ + if(LC){ + while(K != [] && car(K) < LC) + K = cdr(K); + if(K == [] || car(K) > LC) + output(S); + } + if(Key == ""){ + if((P0 = str_str(S,"\\begin{")) == 0){ + Key = sub_str(S,7,str_str(S,"}")-1); + if(findin(Key,["align", "gather","multline", "equation","align*"]) < 0) + Key = ""; + else{ + Key = "\\end{"+Key+"}"; + if(!LC){ + if(Buf != ""){ + if(PE < K) + BufE[PE++] = Buf1+Buf; + else{ + if(K > 0){ + print(BufE[0]); + for(I = 1; I < K; I++) + BufE[I-1]=BufE[I]; + BufE[K-1] = Buf1+Buf; + }else + print(Buf1+Buf); + Done = 0; + } + Buf1 = Buf0; + Buf = Buf0 =""; + } + } + } + } + if(Key == "" && !LC) Buf0 += S; + } + if(Key != ""){ + if(!LC) Buf += S; + if(str_str(S,Key) >= 0){ + Key = ""; + if(LC) LC++; + } + } + } + output(); + close_file(Id); + } + if(Done==0){ + Id = open_file(Dout); + if(Id >= 0){ + remove_file(Dirout); + output(Dirout); + while((S = get_line(Id)) != 0) + print(S,0); + output(); + close_file(Id); + } + remove_file(Dout); + }else L=" "; + } + if(getopt(clear) == 1 || Done == 1){ /* clear */ + remove_file(Dirout); + if(L == "" || L == " "){ + output(Dirout); + print("\\centerline{Risa/Asir}"); + output(); + } + } + if(L != " "){ + Eq=1; + Eqo = getopt(eq); + Fc = getopt(fctr); + if(Fc == 1 && (type(L) == 2 || type(L) == 3)){ + L = fctrtos(L|TeX=1); + if(type(L) == 4) + L = "\\fact{"+L[0]+"}{"+L[1]+"}"; + if(type(Eqo) != 0 && type(Eqo) !=7){ + Eqo=0; + } + } + if(type(L) != 4 || getopt(mult) != 1) + L = [L]; + if(type(Eqo)!=7 && (Eqo<1 || Eqo>8)) + Eqo = (AMSTeX==1)?TeXEq:1; + Title = getopt(title); + if(type(Title) == 7){ + output(Dirout); + print(Title); + output(); + } + Sb = getopt(subst); + for( ; L != []; L = cdr(L)){ + Eq = 1; + if(type(LT=car(L)) != 7 && type(LT) != 21) + LT = my_tex_form(LT); + else if(type(getopt(eq)) < 0) + Eq = 0; + if(type(Sb) == 4) + LT = str_subst(LT,Sb[0],Sb[1]); + output(Dirout); + if(Eq == 1){ + if(type(Eqo)==7) + print(texbegin(Eqo,LT)); + else if(Eqo >= 1 && Eqo <= 8){ + mycat0([MyEq[Eqo-1][0],LT,"%"],1); + print(MyEq[Eqo-1][1]); + }else print(LT); + }else print(LT); + output(); + } + } + if(str_char(Risatex,0," ")>=0 && str_char(DVIOUTA,0," ")<0 && str_char(DVIOUTB,0," ")<0 + && str_char(DVIOUTL,0," ")<0) + Risatex="\""+Risatex+"\""; + if(getopt(keep) != 1) shell(Risatex); + return 1; +} + +def rtotex(P) +{ + S = my_tex_form(P); + return (str_len(S) == 1)?S:"{"+S+"}"; +} + +def mtotex(M) +{ + /* extern TexLim; */ + + MB=mat(["(",")","p"],["\\{","\\}","B"],["[","]","b"],["|","|","v"], + ["\\|","\\|","V"], [".",".",""]); + if(type(MT=getopt(mat))==7){ + MT=findin(MT,["p","B","b","v","V",""]); + if(MT<0) MT=0; + } + else MT=0; + MT=MB[MT]; + if((F=getopt(small))!=1 && F!=2) F=0; + Lim=getopt(lim); + if(type(Lim)==1){ + if(Lim<30 && Lim!=0) Lim = TexLim; + }else Lim=0; + FL=getopt(len); + Rw=getopt(raw); + Sp=getopt(sp); + Idx=getopt(idx); + if(type(Idx)==4) Idx=ltov(Idx); + if(type(Idx)==6 && length(Idx)==0) Idx=-1; + Var=getopt(var); + if(Lim>0) FL=1; + Null=getopt(null); + if(Null!=1 && Null!=2) Null=0; + if(type(M)==5) M=lv2m([V]); + else if(type(M)!=6) return monototex(M); + S=size(M); + if(FL==1){ + L=newmat(S[0],S[1]); LL=newvect(S[1]); + } + SS=newmat(S[0],S[1]); + for(I=0; I<S[0]; I++){ + for(J=0; J<S[1]; J++){ + if(type(P=M[I][J])<=3){ + if(P!=0 || Null == 0 || (Null==2 && I==J)){ + SS[I][J]=(type(Var)>1)?fctrtos(P|TeX=2,lim=0,var=Var):fctrtos(P|TeX=2,lim=0); + if(type(P)==1 && str_str(SS[I][J],"\\frac{-"|end=0)==0) + SS[I][J]="-\\frac{"+str_cut(SS[I][J],7,100000); + } + }else if(type(P)==6){ + ST= mtotex(P|small=1,len=1); + SS[I][J]=ST[0]; + L[I][J]=ST[1]; + }else if(type(P)==7){ + if(Rw==1) SS[I][J]=P; + else SS[I][J]="\\text{"+P+"\}"; + }else if(type(P)==4 && length(P)==2 && P[0]>0 && (Sp==1 || Sp==2)){ + if(P[0]==1){ + SS[I][J]=fctrtos(P[1]|TeX=2,lim=0); + }else{ + ST=my_tex_form(P[0]); + if(Sp==2) ST="("+ST+")"; + SS[I][J]="["+fctrtos(P[1]|TeX=2,lim=0)+"]_"; + if(str_len(ST)<2) SS[I][J]+=ST; + else SS[I][J]+="{"+ST+"}"; + } + }else + SS[I][J]=my_tex_form(P); + if(FL==1) L[I][J]=texlen(SS[I][J]); + } + } + if(Lim>0 || FL==1){ + for(LLL=J=0; J<S[1];J++){ + for(I=K=0; I<S[0];I++){ + if(K<L[I][J]) K=L[I][J]; + } + LLL+=(LL[J]=K); + } + } + if(Lim>0){ + if(F==2 && LLL>Lim-2*S[1]-2) F=1; + if(F==1) + Lim=idiv(Lim*6,5); + if(LLL<=Lim-(2-F)*S[I]-2) Lim=0; + } + Mat=(F==1)?"smallmatrix}":"matrix}"; + if(F==1) Out=str_tb("\\left"+MT[0]+"\\begin{",0); + else Out=str_tb((Lim==0)?"\\begin{"+MT[2]:"\\left"+MT[0]+"\\begin{",0); + Out = str_tb(Mat,Out); + for(I=II=LT=0; II<=S[0]; II++){ + if(Lim==0) II=S[0]; + if(II<S[0]){ + K=LL[II]+(2-F); + if(I==II){ + LT+=K; + continue; + } + if(LT+K<Lim-2) continue; + LT=K; + } + for(I0=I; I<II; I++){ + if(I==I0){ + str_tb((I==0)? + "\n ": + "\\right.\\\\\n \\allowdisplaybreaks\\\\\n &\\ \\left.\\begin{"+Mat+"\n ", Out); + if(Idx==1||Idx==0||type(Idx)==5){ + for(J=I; J<II; J++){ + if(type(Idx)!=4) + str_tb("("+rtostr(J+Idx)+")",Out); + else{ + JJ=length(Idx)-1; + if(J<JJ) JJ=J; + str_tb(my_tex_form(Idx[JJ]),Out); + } + if(J<II) str_tb(" & ",Out); + } + str_tb("\\\\\n ",Out); + } + } + else str_tb("\\\\\n ",Out); + for(J=0; J<S[1]; J++){ + if(J!=0) str_tb(" & ",Out); + if(type(SS[I][J])==7) str_tb(SS[I][J],Out); + } + } + Out=str_tb("\n\\end{", Out); + if(II==S[0]) Out=str_tb((Lim==0&&F!=1)?MT[2]+Mat:Mat+"\\right"+MT[1],Out); + else Out=str_tb(Mat+"\\right.",Out); + } + SS = str_tb(0,Out); + if(FL!=1) return SS; + if(F==1) LLL=idiv((LLL+S[1])*5+13,6); + else LLL+=2*(1+S[1]); + return [SS,LLL]; +} + +def sint(N,P) +{ + if( type(N)==1 || N==0 ) { + NT=ntype(N); + if((type(Opt=getopt(str))==1 || Opt==0) && Opt>=0 && P>=0){ + if(Opt==2 || Opt==4 || Opt==0){ + if(N==0) return (Opt>0)?"0":0; + Pw=0; + if(NT==4){ + NN=abs(real(N));N1=abs(imag(N)); + if(NN<N1) NN=N1; + }else NN=abs(N); + while(NN<1 && NN>-1){ + Pw--; + N*=10;NN*=10; + } + while(N>=10 || N<=-10){ + Pw++; + N/=10;NN/=10; + } + if(Opt==0) return sint(N*10^Pw,P-Pw-1); + S=(getopt(sqrt)==1)?sint(N,P|str=(Opt==4)?3:1,sqrt=1):sint(N,P|str=(Opt==4)?3:1); + if(Pw==0) return S; + if(NT==4) + S="("+S+")"; + if(Pw==1){ + if(Opt==2) + return S+"*10"; + else + return S+"\\times10"; + } + if(Opt==2) + return S+"*10^("+rtostr(Pw)+")"; + else + return S+"\\times10^{"+rtostr(Pw)+"}"; + } + if(NT==4){ + NN=real(N); + if(NN!=0){ + S=sint(NN,P|str=1); + if(imag(N)>0) S=S+"+"; + } + else S=""; + S=S+sint(imag(N),P|str=1)+((Opt==3)?((getopt(sqrt)==1)?"\\sqrt{-1}":"i"):"@i"); + return S; + } + if(N<0){ + N=-N; + Neg="-"; + }else Neg=""; + N=rint(N*10^P)/10^P; + NN=floor(N); + NV=(N-NN+1)*10^P; + NS=rtostr(NN); + if(P<=0) return Neg+NS; + if(NN==0 && getopt(zero)==0) NS=""; + return Neg+NS+"."+str_cut(rtostr(NV),1,P); + } + if(NT==4) + return sint(real(N),P)+sint(imag(N),P)*@i; + X = rint( N*10^P ); + return deval(X/10^P); + } + if( (type(N)==2) || (type(N)==3) ){ + NN = eval(N); + if( type(NN)==1 ) + return sint(NN,P|option_list=getopt()); + else return N; + } + if( type(N)>3 && type(N) < 7) +#ifdef USEMODULE + return mtransbys(os_md.sint,N,[P]|option_list=getopt()); +#else + return mtransbys(sint,N,[P]|option_list=getopt())); +#endif + return N; +} + +def frac2n(N) +{ + if((T=type(N))<0) return N; + E=(getopt(big)==1)?eval(@e):0.1; + if(T==1){ + if(ntype(N)==0) return (E*N)/E; + else if(ntype(N)!=4) return N; + else return (E*(1+@i)*N)/(E*(1+@i)); + } + if(T==3||T==2){ + N=red(N); + Nm=nm(N);Var=vars(Nm);V=car(Var);K=length(Var); + for(S=0,I=mydeg(Nm,V);I>=0;I--) S+=frac2n(mycoef(Nm,I,V))*V^I; + return S/dn(N); + } + if(T<4) return (E*N)/E; +#ifdef USEMODULE + return mtransbys(os_md.frac2n,N,[]|option_list=getopt()); +#else + return mtransbys(frac2n,N,[]|option_list=getopt()); +#endif +} + +def xyproc(F) +{ + if(type(Opt=getopt(opt))!=7) Opt=""; + if(type(Env=getopt(env))!=7) + Env=(!TikZ)?"xy":"tikzpicture"; + if(F==1) + return(Opt=="")?"\\begin{"+Env+"}\n":"\\begin{"+Env+"}["+Opt+"]\n"; + if(F==0) return "\\end{"+Env+"}\n"; + if(type(F)==7){ + F=xyproc(1|opt=Opt,env=Env)+F+xyproc(0|env=Env); + if(getopt(dviout)==1) dviout(F); + else return F; + } +} + +def xypos(P) +{ + if(type(P[0])==7){ + if(P[0]=="") S=""; + else S=(!TikZ)?"\""+P[0]+"\"":"("+P[0]+")"; + } + else{ + if(TikZ==0 && XYcm==1){ + X=sint(P[0]*10,XYPrec); Y=sint(P[1]*10,XYPrec); + }else{ + X=sint(P[0],XYPrec); Y=sint(P[1],XYPrec); + } + S="("+rtostr(X)+","+rtostr(Y)+")"; + } + if(!TikZ){ + if(length(P)>2 && (PP=P[2])!=""){ + S=S+" *"; + if(type(PP)==4 && length(PP)==2 && type(PP[0])==7){ + S=S+PP[0]; + PP=PP[1]; + } + if(type(PP)==7){ + L=str_len(PP); + if(str_chr(PP,0,"$")==0 && str_chr(PP,L-1,"$")==L-1){ + PP=str_cut(PP,1,L-2); + }else S+="\\txt"; + } + else PP=my_tex_form(PP); + S=S+"{"+PP+"}"; + } + if(length(P)>3){ + if(type(P[3])==7 && P[3]!="") S=S+"=\""+P[3]+"\""; + if(length(P)>4 && type(P[4])==7) S=S+P[4]; + } + }else{ + T=""; + if(length(P)>2 && (PP=P[2])!=""){ + F=1; + if(type(PP)==4){ + if(length(PP)==2 && type(PP[0])==7){ + T="["+PP[0]+"]"; + PP=PP[1]; + } + } + if(type(PP)!=7) PP="$"+my_tex_form(PP)+"$"; + S=S+"{"+PP+"}"; + }else F=0; + if(length(P)>3){ + if(type(P[3])==7 && P[3]!="") T=T+"("+P[3]+")"; + else if(P[3]==1) T=T+"(_)"; + if(length(P)>4 && type(P[4])==7) S=S+P[4]; + } + if(length(P)>2){ + if(F) S="node"+T+" at"+S; + else S="coordinate"+T+" at"+S; + } + } + return S; +} + +def xyput(P) +{ + if((type(Sc=getopt(scale))==1 && Sc!=1) || type(Sc)==4){ + if(type(Sc)==1) Sc=[Sc,Sc]; + Sx=Sc[0];Sy=Sc[1]; + if(length(P)>2) + P1=cons(Sy*P[1],cdr(cdr(P))); + else P1=[Sy*P[1]]; + P=cons((type(P[0])==7)?P[0]:(Sx*P[0]),P1); + } + if(!TikZ) return "{"+xypos(P)+"};\n"; + return "\\"+xypos(P)+";\n"; +} + +def xyline(P,Q) +{ + if(!TikZ) return "{"+xypos(P)+" \\ar@{-} "+xypos(Q)+"};\n"; + if(type(T=getopt(opt))!=7) T=""; + else T="["+T+"]"; + if(length(P)<3 && length(Q)<3) + return "\\draw"+T+xypos(P)+"--"+xypos(Q)+";\n"; + if(length(P)==2) P=[P[0],P[1],"","_0"]; + else if(length(P)==3 || (length(P)==4 && P[3]=="")) + P=[P[0],P[1],P[2],"_0"]; + else if(length(P)>4 && P[3]=="") + P=[P[0],P[1],P[2],"_0",P[4]]; + if(length(Q)==2) Q=[Q[0],Q[1],"","_1"]; + else if(length(Q)==3 || (length(Q)==4 && Q[3]=="")) + Q=[Q[0],Q[1],Q[2],"_1"]; + else if(length(Q)>4 && Q[3]=="") + Q=[Q[0],Q[1],Q[2],"_1",Q[4]]; + return "\\draw "+T+xypos(P)+" "+xypos(Q)+"("+P[3]+")--("+Q[3]+");\n"; +} + +def xylines(P) +{ + Lf=getopt(curve); + if(type(Lf)!=1) Lf=0; + SS=getopt(opt); + SF=(SS==0)?1:0; + if((Proc=getopt(proc))==1||Proc==2||Proc==3){ + OL=cons(["opt",0],delopt(getopt(),["opt","proc"])); + R=xylines(P|option_list=OL); + OP=(type(SS)<0)?[]:((type(SS)==4)?[["opt",SS[0]],["cmd",SS[1]]]:[["opt",SS]]); + return [1,OP,R]; + } + if(type(SS)!=7 && type(SS)!=4){ + if(Lf==0 && !TikZ) SS="@{-}"; + else SS=""; + } + if(type(Sc=getopt(scale))==1 || type(Sc)==4){ + if(type(Sc)==1) Sc=[Sc,Sc]; + Sx=Sc[0];Sy=Sc[1]; + if(Sx!=1 || Sy!=1){ + for(PP=[], P0=P; P0!=[]; P0=cdr(P0)){ + PT=car(P0); + if((type(PT)!=4 && type(PT)!=5) || (type(PT[0])!=1 && PT[0]!=0)) + PP=cons(PT,PP); + else{ + if(length(PT)>2 && type(PT)==4) + P1=cons(Sy*PT[1],cdr(cdr(PT))); + else P1=[Sy*PT[1]]; + PP=cons(cons(Sx*PT[0],P1),PP); + } + } + P=reverse(PP); + } + } + if(type(Cl=CL0=getopt(close))!=1) Cl=0; + if((Vb=getopt(verb))!=1&&type(Vb)!=4) Vb=0; + if(type(Lf)!=1 || Lf==0){ /* lines */ + if(TikZ||SF){ + for(L=[],F=0,PT=P;PT!=[];PT=cdr(PT)){ + if(type(car(PT))<4){ + L=cons(car(PT),L); + F=0; + }else{ + if(F++>1) L=cons(1,L); + L=cons(car(PT),L); + } + } + if(Cl==1){ + L=cons(1,L);L=cons(-1,L); + } + if(L) L=reverse(L); + if(SF) return L; + if(type(SS)!=4) S=xybezier(L|opt=SS); + else S=xybezier(L|opt=SS[0],cmd=SS[1]); + + }else{ + Out = str_tb(0,0); + for(PT=P; PT!=[]; ){ + PS1=car(PT); + PT=cdr(PT); + if(PT==[]){ + if(Cl==1) PS2=car(P); + else PS2=0; + }else PS2=car(PT); + str_tb(xyarrow(PS1,PS2|opt=SS),Out); + } + S=str_tb(0,Out); + } + }else if(Lf==2){ /* B-spline */ + if(SF) return P; + if(!TikZ){ + Out = str_tb("{\\curve{",0); + for(PT=P;PT!=[];PT=cdr(PT)){ + if(car(PT)==0){ + str_tb("}};\n{\\curve{",Out); + continue; + } + if(PT!=P) str_tb("&",Out); + str_tb(xypos([car(PT)[0],car(PT)[1]]),Out); + } + str_tb("}};\n",Out); + S=str_tb(0,Out); + }else Out=str_tb(xybezier(P|opt=SS),0); + for(I=0;I<2;I++){ + Q=car(P); + if(length(Q)>2) + str_tb(xyput(Q),Out); + P=reverse(P); + } + S=str_tb(0,Out); + }else{ /* extended Bezier */ + RTo=getopt(ratio); + if(type(Acc=getopt(Acc))!=1) Acc=0; + if(type(RTo)!=1 || RTo>1.5 || RTo<0.001) RTo=0; + if(Cl==1){ + PR=reverse(P); + PT=car(PR); + PR=cons(P[0],PR); + PR=cons(P[1],PR); + P=cons(PT,reverse(PR)); + }else if(Cl==-1) Cl=1; + for(L=P2=P3=0,PT=P;;){ + P1=P2;P2=P3;P3=P4; + P4=(PT==[])?0:car(PT); + if(PT==[] && (Cl==1 || P3==0)) break; + PT=cdr(PT); + if(P3==0) str_tb("%\n", Out); + if(P2==0 || P3==0 || (Cl==1 && P1==0)) continue; + if(L!=0){ + if(car(L)==P2) + L=cons(1,L); + else{ + L=cons(0,L); L=cons(P2,L); + } + }else L=[P2]; + X=P3[0]-P2[0];Y=P3[1]-P2[1]; + DL1=DL2=0;DL=Acc?sqrt(X^2+Y^2):dsqrt(X^2+Y^2); + if(P4!=0){ + XD1=P4[0]-P2[0];YD1=P4[1]-P2[1];DL1=Acc?sqrt(XD1^2+YD1^2):dsqrt(XD1^2+YD1^2); + } + if(P1!=0){ + XD2=P3[0]-P1[0];YD2=P3[1]-P1[1];DL2=Acc?sqrt(XD2^2+YD2^2):dsqrt(XD2^2+YD2^2); + } + if(RTo!=0) + R=RTo; + else if(DL1>0 && DL2>0){ + Cos=(XD1*XD2+YD1*YD2)/(DL1*DL2); + RT=4/(3*(Acc?sqrt((1+Cos)/2):dsqrt((1+Cos)/2))+3); + R=DL*RT/(DL1+DL2); + }else if(DL1!=0) + R=DL/(2*DL1); + else if(DL2!=0) + R=DL/(2*DL2); + if(DL2!=0) L=cons([P2[0]+R*XD2,P2[1]+R*YD2],L); + if(DL1!=0) L=cons([P3[0]-R*XD1,P3[1]-R*YD1],L); + L=cons([P3[0],P3[1]],L); + } + if(CL0==1) L=cons(-1,cdr(L)); + if(L!=0) L=reverse(L); + if(SF) return L; + if(type(SS)==4) + S=xybezier(L|opt=SS[0],cmd=SS[1],verb=Vb); + else + S=xybezier(L|opt=SS,verb=Vb); + } + if(getopt(dviout)!=1) return S; + xyproc(S|dviout=1); +} + +def saveproc(S,Out) +{ + if(type(Out)==4){ + Out=cons(S,Out); + return Out; + }else{ + str_tb(S,Out); + return Out; + } +} + +def xygrid(X,Y) +{ + for(RR=[],I=0,Z=X;I<2;I++){ + U=Z[2];L=LL=[];M=Z[3]; + if(Z[1]==1||Z[1]==-1){ + if(type(M)==4) L=M; + else{ + if(U*(-dlog(1-1/20)/dlog(10))>=M){ + L=cons([1,2,1/10],L); + LL=cons([1,2,1/2],LL); + }else if(U*(-dlog(1-1/10)/dlog(10))>=M) + L=cons([1,2,1/5],L); + else if(U*(-dlog(1-1/4)/dlog(10))>=M) + L=cons([1,2,1/2],L); + if(U*(-dlog(1-1/50)/dlog(10))>=M){ + L=cons([2,5,1/10],L); + LL=cons([2,5,1/2],LL); + }else if(U*(-dlog(1-1/25)/dlog(10))>=M) + L=cons([2,5,1/5],L); + else if(U*(-dlog(1-1/10)/dlog(10))>=M) + L=cons([2,5,1/2],L); + if(U*(-dlog(1-1/100)/dlog(10))>=M){ + L=cons([5,10,1/10],L); + LL=cons([5,10,1/2],LL); + } + else if(U*(-dlog(1-1/50)/dlog(10))>=M) + L=cons([5,10,1/5],L); + else if(U*(-dlog(1-1/20)/dlog(10))>=M) + L=cons([5,10,1/2],L); + L=cons(L,cons(LL,[[[1,10,1]]])); + } + R=scale(L|scale=U); + if(Z[1]==-1){ + for(LL=[];R!=[];R=cdr(R)){ + for(L=[],T=car(R);T!=[];T=cdr(T)) L=cons(U-car(T),L); + LL=cons(reverse(L),LL); + } + R=reverse(LL); + } + }else if(Z[1]==0){ + if(type(M)==4){ + R=scale(M|f=x,scale=U); + }else{ + V=0; + if(U/10>=M) V=1/10; + else if(U/5>=M) V=1/5; + else if(U/2>=M) V=1/2; + R=[]; + if(V>0){ + UU=U*V; + for(R=[],J=UU;J<U;J+=UU) R=cons(J,R); + } + if(V==1/10) L=[U/2]; + else L=[]; + R=cons(R,cons(L,[[0,U]])); + } + }else if(type(Z[1])==4){ + R=Z[1]; + if(length(R)==0||type(R[0])!=4) R=[[],[],R]; + }else return 0; + K=length(R); + S=newvect(K); + for(J=0;J<K;J++){ + for(S[J]=[],JJ=0;JJ<=Z[0];JJ+=U){ + for(P=R[J];P!=[];P=cdr(P)) + if(car(P)+JJ<=Z[0]) S[J]=cons(car(P)+JJ,S[J]); + } + } + for(J=0;J<K;J++) S[J]=lsort(S[J],[],1); + for(U=[],J=K-1;J>0;J--){ + U=lsort(S[J],U,0);S[J-1]=lsort(S[J-1],U,1); + } + RR=cons(vtol(S),RR); + Z=Y; + } + if((Raw=getopt(raw))==1) return RR; + SS=[]; + if(type(Sf=getopt(shift))==7){ + Sx=Sf[0];Sy=Sf[1]; + }else Sx=Sy=0; + for(I=0;I<2;I++){ + for(S0=[],L=RR[I];L!=[];L=cdr(L)){ + for(S=[],T=car(L);T!=[];T=cdr(T)){ + if(S!=[]) S=cons(0,S); + if(I==0){ + S=cons([X[0]+Sx,car(T)+Sy],S); + S=cons([Sx,car(T)+Sy],S); + }else{ + S=cons([car(T)+Sx,Y[0]+Sy],S); + S=cons([car(T)+Sx,Sy],S); + } + } + S0=cons(S,S0); + } + SS=cons(reverse(S0),SS); + } + SS=reverse(SS); + if(Raw==2) return SS; + if(length(Y)<5) T=[["",""]]; + else if(type(Y[4])==4) T=[Y[4]]; + else T=[Y[4],Y[4]]; + if(length(X[4])==4) T=cons([""],T); + else if(type(X[4])==4) T=cons(X[4],T); + else T=cons([X[4]],T); + for(Sx=Sy=[],I=0;I<2;I++){ + TT=T[I]; + for(V=SS[I];V!=[];V=cdr(V)){ + Op=car(TT); + if(length(TT)>1) TT=cdr(TT); + if(car(V)==[]) continue; + if(Op=="") S=xylines(car(V)); + else S=xylines(car(V)|opt=Op); + if(I==0) Sx=cons(S,Sx); + else Sy=cons(S,Sy); + } + } + for(S="",Sx=reverse(Sx), Sy=reverse(Sy);Sx!=[]&&Sy!=[];){ + if(Sx!=[]){ + S+=car(Sx);Sx=cdr(Sx); + } + if(Sy!=[]){ + S+=car(Sy);Sy=cdr(Sy); + } + } + return S; +} + + +def addIL(I,L) +{ + if(I==0){ + for(R=[];L!=[];L=cdr(L)) R=addIL(car(L),R); + return reverse(R); + } + if(type(In=getopt(in))==1){ + if(In==-1){ + J=JJ=I[1];I=I[0]; + for(R=[];L!=[];L=cdr(L)){ + J=lmin([car(L)[0],JJ]); + if(J>I) R=cons([I,J],R); + I=lmax([car(L)[1],I]); + } + if(I<JJ) R=cons([I,JJ],R); + return reverse(R); + }else{ + for(;L!=[];L=cdr(L)){ + if(car(L)[0]>I) return 0; + if(car(L)[1]>=I){ + if(In==3) return car(L); + if(In==1||(I!=car(L)[0]&&I!=car(L)[1])) return 1; + return 2; + } + } + return 0; + } + } + I0=car(I);I1=I[1]; + for(F=0,R=[];L!=[];L=cdr(L)){ + if(I0>car(L)[1]){ + R=cons(car(L),R); + continue; + } + if(I0<=car(L)[1]){ + I0=lmin([I0,car(L)[0]]); + if(I1<car(L)[0]){ + R=cons([I0,I1],R); + for( ;L!=[];L=cdr(L)) R=cons(car(L),R); + F=1; + break; + } + I1=lmax([I1,car(L)[1]]); + } + } + if(!F) R=cons([I0,I1],R); + return reverse(R); +} + +def xy2curve(F,N,Lx,Ly,Lz,A,B) +{ + Raw=getopt(raw); + if(type(Gap=getopt(gap))==4){ + MG=Gap[1];Gap=car(Gap); + }else MG=3; + if(type(Gap)!=1 && Gap!=0) Gap=0.7; + if(type(Dvi=getopt(dviout))<1) Dvi=0; + OL=[["dviout",Dvi]]; + if(type(Opt=getopt(opt))<1) Opt=0; + else OL=cons(["opt",Opt],OL); + if(type(Sc=getopt(scale))!=1 && type(Sc)!=4) Sc=[1,1,1]; + else if(type(Sc)!=4) Sc=[Sc,Sc,Sc]; + else if(length(Sc)!=3) Sc=[Sc[0],Sc[1],Sc[1]]; + M=diagm(3,Sc); + if(A!=0||B!=0){ + if(type(A)!=6){ /* M=mrot([-A,B,0]|deg=1)*M; */ + Pi=deval(@pi); + Ac=dcos(Pi*A/180);As=dsin(Pi*A/180); + M=mat([Ac,As,0],[-As,Ac,0],[0,0,1])*M; + Ac=dcos(Pi*B/180);As=dsin(Pi*B/180); + M=mat([Ac,0,As],[0,1,0],[-As,0,Ac])*M; + }else M=A; + V=M*newvect(3,[x,y,z]); + Fx=compdf(V[0],[x,y,z],F);Fy=compdf(V[1],[x,y,z],F);Fz=compdf(V[2],[x,y,z],F); + }else{ + for(I=0;I<3;I++){ + if(type(T=F[I])!=4) T=f2df(T); + if(type(T)==4) T=cons(car(T)*Sc[I],cdr(T)); + else T*=Sc[I]; + if(I==0) Fx=T; + else if(I==1) Fy=T; + else Fz=T; + } + } + if(Raw==5||!Gap) + return (Dvi||!Gap)? xygraph([Fy,Fz],N,Lx,Ly,Lz|option_list=OL):[Fx,Fy,Fz]; + R=xygraph([Fy,Fz],N,Lx,Ly,Lz|raw=2); + R0=cdr(car(R));R1=R[1]; + for(LT=[];R0!=[];R0=cdr(R0),R1=cdr(R1)) + if(car(R0)!=0) LT=cons([R1[0],R1[1]],LT); + LT=reverse(LT); + if(N<0){ + Be=xylines(car(R)|curve=1,proc=3,close=-1); + LT=reverse(cdr(LT)); + LT=reverse(cdr(LT)); + } + else Be=xylines(car(R)|curve=1,proc=3); + Be=cdr(cdr(Be)); + Be=lbezier(car(Be)); + if(Raw==4) return [Be,LT,Lx]; + X=ptcombz(Be,0,0); + Var=(length(Lx)==3)?car(Lx):x; + if(type(Eq=getopt(eq))!=1) Eq=0.01; + if(TikZ==1){ + Gap/=10;Eq/=10; + } + for(R=[],XT=X;XT!=[];XT=cdr(XT)){ + V=car(XT); + U=LT[V[0][0]]; + T=U[0]*V[1][0]+U[1]*(1-V[1][0]); + VV=myfdeval(Fx,[Var,T]); + U=LT[V[0][1]]; + T=U[0]*V[1][1]+U[1]*(1-V[1][1]); + VV-=myfdeval(Fx,[Var,T]); + if(abs(VV)<Eq) continue; + I=(VV<0)?0:1; + R=cons([V[0][I],V[1][I],V[0][1-I],V[1][1-I]],R); + } + R=qsort(R); + if(Raw==3) return [Be,R]; + Db=newvect(L=length(Be)); + for(I=0;I<L;I++) Db[I]=[]; + for(TR=R;TR!=[];TR=cdr(TR)){ + V1=ptbezier(Be,[I=car(TR)[0],P=car(TR)[1]])[1]; + V2=ptbezier(Be,[car(TR)[2],car(TR)[3]])[1]; + T=dsqrt(1-dvangle(V1,V2)^2); + if(T<1/MG) T=MG; + GP=Gap/T; + W=GP/dnorm(V1); + Db[I]=addIL([P-W,P+W],Db[I]); + if(P-W<0 && I>0) Db[I-1]=addIL([P-W+1,1],Db[I-1]); + if(P+W>1 && I+1<L) Db[I+1]=addIL([0,P+W-1],Db[I+1]); + } + Db=vtol(Db); + for(Bf=[];Be!=[];Be=cdr(Be),Db=cdr(Db)){ + if(car(Db)==[]) Bf=cons(car(Be),Bf); + else{ + D=addIL([0,1],car(Db)|in=-1); + for(;D!=[];D=cdr(D)) + Bf=cons(tobezier(car(Be)|inv=car(D)),Bf); + } + } + Bf=reverse(Bf); + if(Raw==2) return Bf; + OL=[]; + if(Opt){ + if(type(Opt)==4&&length(Opt)>1) OL=[["opt",Opt[0]],["cmd",Opt[1]]]; + else OL=[["opt",Opt]]; + }else OL=[]; + S=xybezier(lbezier(Bf|inv=1)|option_list=OL); + if(Raw==1||!Dvi) return S; + return xyproc(S|dviout=Dvi); +} + +def xy2graph(F0,N,Lx,Ly,Lz,A,B) +{ + /* (x,y,z) -> (z sin B + x cos A cos B + y sin A cos B, + -x sin A + y cos A, z cos B - x cos A sin B - y sin A sin B) */ + if((Proc=getopt(proc))==1||Proc==2){ + OPT0=[["proc",3]]; + }else{ + Proc=0;OPT0=[]; + } + if(type(DV=getopt(dviout))==4){ + S=["ext","shift","cl","dviout"]; + OL=delopt(getopt(),S); + OL=cons(["proc",1],OL); + R=xy2graph(F0,N,Lx,Ly,Lz,A,B|option_list=OL); + OL=delopt(getopt(),S|inv=1); + return execdraw(R,DV|optilon_list=OL); + } + if(N==0 || N>100 || N<-100) N=-16; + if(N<0){ + N=-N;N1=-1;N2=NN+1; + }else{ + N1=0;N2=NN=N; + } + + Ratio=Ratio2=1; + if(type(Sc=Sc0=getopt(scale))!=1 && type(Sc)!=4) Sc=1; + if(type(Sc)==4){ + Ratio=Sc[1]/Sc[0]; + if(length(Sc)>2) Ratio2=Sc[2]/Sc[0]; + Sc=Sc[0]; + } + if(type(Vw=getopt(view))!=1) Vw=0; + if(type(Raw=getopt(raw))!=1) Raw=0; + if(type(M1=getopt(dev))==1) M2=M1; + else if(type(M1)==4){ + M2=M1[1];M1=M1[0]; + }else M1=0; + if(type(M3=getopt(acc))!=1 || (M3<0.5 && M3>100)) M3=1; + if(M1<=0) M1=16; + if(M2<=0) M2=16; + OL=[["para",1],["scale",Sc]]; + if(Raw==1) OL=cons(["raw",1],OL); + if(type(Prec=getopt(prec))>=0) OL=cons(["prec",Prec],OL); + L=newvect(4,[[Lx[1],Ly[0]],[Lx[1],Ly[1]],[Lx[0],Ly[1]],[Lx[0],Ly[0]]]); + Lx=[deval(Lx[0]),deval(Lx[1])]; + Ly=[deval(Ly[0]),deval(Ly[1])]; + Lz=[deval(Lz[0]),deval(Lz[1])]; + A=(A0=A)%360; + F00=F0; + if(type(F0)<4){ + FC=f2df(F0); + if(findin(z,Vars=vars(FC))>=0 && findin(x,Vars)<0 && findin(y,Vars)<0) + F0=[w,[z,0,x+y*@i],[w,os_md.abs,FC]]; + } + if(type(Org=getopt(org))==4){ /* shift origin */ + Lx=[Lx[0]-Org[0],Lx[1]-Org[0]]; + Ly=[Ly[0]-Org[1],Ly[1]-Org[1]]; + Lz=[Lz[0]-Org[2],Lz[1]-Org[2]]; + F0=mysubst(F0,[[x,x+Org[0]],[y,y+Org[1]]]); + if(type(F0)==4){ + F0=cons(F0[0]-Org[2],cdr(F0)); + } + else F0-=Org[2]; + }else Org=[0,0,0]; + Cpx=getopt(cpx); + if(type(Cpx)<0){ + if(str_str(rtostr(F0),"@i")>=0) Cpx=1; + else Cpx=0; + } + if(A<0) A+=360; + if(A<90){ + Sh=1;F1=F0;Cx=x-Org[0];Cy=y-Org[1]; + }else if(A<180){ /* x -> y, y -> -x */ + Sh=2;A-=90; F1=mulsubst(F0,[[x,-y],[y,x]]); + LL=Ly;Ly=[-Lx[1],-Lx[0]];Lx=LL;Cx=y-Org[1];Cy=-x+Org[0]; + }else if(A<270){ + Sh=3;A-=180; F1=subst(F0,[[x,-x],[y,-y]]); + Lx=[-Lx[1],-Lx[0]];Ly=[-Ly[1],-Ly[0]];Cx=-x+Org[0];Cy=-y+Org[1]; + }else{ + Sh=4;A-=270;F1=mulsubst(F0,[[x,y],[y,-x]]); + LL=Lx;Lx=[-Ly[1],-Ly[0]];Ly=LL;Cx=-y+Org[1];Cy=x-Org[0]; + } + A=@pi*A/180; B=@pi*B/180; + if(A==0) A=@pi/3; + if(B==0) B=@pi/12; + NN=N*M2; + Ac=dcos(deval(A)); As=dsin(deval(A)); + if(Ac<=0.087 || As<=0.087){ + mycat(["Unsuitable angle",A0,"(6-th argument)!"]); + return -1; + } + Bc=Ratio*dcos(deval(B)); Bs=dsin(deval(B)); + if(Bc<0){ + mycat("Unsuitable angle (7-th argument)!"); + return -1; + } + /* + z = f(x,y) => X=-As*x+Ac*y, Y= Bc*f(x,y)-Bsc*x-Bss*y + Out X-coord is in [X0,X1], dvided by Dev segments + J-th segment of Y-coord : ZF[J]==1 => [Z0[0],Z1[J]] + */ + Bsc=Bs*Ac;Bss=Bs*As; + if(Ratio2!=1){ + if(Sh%2==1){ + Ac*=Ratio2;Bss*=Ratio2; + }else{ + As*=Ratio2;Bsc*=Ratio2; + } + } + CX=-As*Cx+Ac*Cy;CY=Bc*(z-Org[2])-Bsc*Cx-Bss*Cy; + if(type(Dvi=getopt(dviout))!=1 && getopt(trans)==1) return [CX*Sc,CY*Sc]; + if(type(N1=getopt(inf))==1){ + if(Proc) Dvi=N1; + else if(Dvi<=0) Dvi=-N1; + } + X0=-As*Lx[1]+Ac*Ly[0];X1=-As*Lx[0]+Ac*Ly[1]; + F1=mysubst(F1,[@pi,deval(@pi)]); + Tf=type(F1=f2df(F1|opt=0)); + if(Tf!=4) F=Bc*F1-Bsc*x-Bss*y; + else F=append([Bc*F1[0]-Bsc*x-Bss*y],cdr(F1)); + Dx=(Lx[1]-Lx[0])/NN; Dy=(Ly[1]-Ly[0])/NN; + if(type(Err=getopt(err))==1) + F=mysubst(F,[[x,x+Err*Dx/1011.23],[y,y+Err*Dy/1101.34]]); + Out=(Proc)?[]:str_tb(0,0); + Dev=N*M1; + XD=(X1-X0)/Dev; + OLV=newvect(2,[OL,OL]); + if(type(Ura=getopt(opt))==4 || type(Ura)==7){ + if(type(Ura)==7) Ura=[Ura,Ura]; + else{ + OLV[0]=cons(["opt",Ura[0]],OL); + OLV[1]=cons(["opt",Ura[1]],OL); + } + } + for(KC=0; KC<=1; KC++){ /* draw curves */ + Z0=newvect(Dev+1); Z1=newvect(Dev+1); ZF=newvect(Dev+1); + for(I=0; I<=NN; I++){ + FV=I%M2; + if(KC==0){ + X=x; Y=Ly[1]-I*Dy; LX=Lx; DD=Dx; G=mysubst(F,[y,Y]); + if(!FV){ + if(!Proc) str_tb(["%y=",rtostr(Y),"\n"],Out); + else Out=cons([-2,"y="+rtostr(Y)],Out); + } + }else{ + X=Lx[1]-I*Dx; Y=x; LX=Ly; DD=Dy; G=mysubst(F,[[x,X],[y,Y]]); + if(!FV){ + if(!Proc) str_tb(["%x=",rtostr(X),"\n"],Out); + else Out=cons([-2,"x="+rtostr(X)],Out); + } + } + XX=-As*X+Ac*Y; A1=coef(XX,1,x); A0=coef(XX,0,x); /* XX = A1*x + A0, x = (XX-A0)/A1 */ + if(!FV && Vw==1){ + if(Proc) Out=cons(xygraph([XX,G],N,LX,[X0,X1],Lz|scale=Sc,para=1,proc=3),Out); + else str_tb(xygraph([XX,G],N,LX,[X0,X1],Lz|scale=Sc,para=1),Out); + continue; + } + V=VT=LX[1]; + J0=(subst(XX,x,LX[0])-X0)/XD; J1=(subst(XX,x,LX[1])-X0)/XD; + if(J0<J1){ + J0=ceil(J0); J1=floor(J1); JD=1; /* fixed x: y: dec => (x,z):(dec,inc) */ + }else{ + J0=floor(J0); J1=ceil(J1); JD=-1; /* fixed y: x: dec => (x,z):(inc,inc) */ + } + for(FF=1,J=J1;;J-=JD){ + V1=VT; + VT=(X0+J*XD-A0)/A1;GG=mysubst(G,[x,VT]); + if(Cpx>=1) VV=myeval(GG); + else VV=(Tf==4)? mydeval(GG):deval(GG); /* J -> V */ + if(ZF[J]==0 || VV<=Z0[J] || VV>=Z1[J]){ /* visible */ + if(FF==0){ + V0=(VT+V1)/2; + if(!FV && Vw==-1 && Raw!=1){ /* draw doted line */ + K=ceil(M3*(V-V0)/(M2*DD)); + if(N1<0) K=-K; + OPT=append(OPT0,[["opt",(TikZ)?"dotted":"~*=<3pt>{.}"],["scale",Sc],["para",1]]); + Out=saveproc(xygraph([XX,G],K,[V0,V],[X0-1,X1+1],Lz| + option_list=OPT),Out); + } + V=V0; + } + if(ZF[J]==0){ + ZF[J]=1; Z0[J]=Z1[J]=VV; + }else if(VV<=Z0[J]) Z0[J]=VV; + else Z1[J]=VV; + + if(VV>=Z1[J]) FF=1; + else if(VV<=Z0[J]) FF=-1; + }else{ + if(FF!=0){ + V0=(VT+V1)/2; + K=ceil(M3*(V-V0)/(M2*DD)); + if(N1<0) K=-K; + if(!FV){ + OPT=append(OPT0,OLV[(1-FF)/2]); + Out=saveproc(xygraph([XX,G],K,[V0,V],[X0-1,X1+1],Lz|option_list=OPT),Out); + } + V=V0; + } + FF=0; + } + if(J==J0) break; + } + if(FV) continue; + V0=LX[0];K=ceil(M3*(V-V0)/(M2*DD)); + if(N1<0) K=-K; + if(FF!=0){ + if(Raw!=1){ + OPT=append(OPT0,OLV[(1-FF)/2]); + Out=saveproc(xygraph([XX,G],K,[V0,V],[X0-1,X1+1],Lz|option_list=OPT),Out); + }else if(Vw==-1 && Raw!=1){ + OPT=append(OPT0,[["opt",(TikZ)?"dotted":"~*=<3pt>{.}"]]); + Out=saveproc(xygraph([XX,G],K,[V0,V],[X0-1,X1+1],Lz|option_list=OPT),Out); + } + } + } + } + OptSc=(Sc==1)?[]:[["scale",Sc]]; + if(type(LZ=getopt(ax))==4){ /* draw box */ + FC=0; + if(length(LZ)==3) FC=LZ[2]; + P0=newvect(2,[-As*Lx[1]+Ac*Ly[1],Bc*(LZ[0]-Org[0])-Bsc*Lx[1]-Bss*Ly[1]]); + Vx=newvect(2,[As*(Lx[1]-Lx[0]),Bsc*(Lx[1]-Lx[0])]); + Vy=newvect(2,[Ac*(Ly[0]-Ly[1]),Bss*(Ly[1]-Ly[0])]); + Vz=newvect(2,[0,Bc*(LZ[1]-LZ[0])]); + OL=OL0=append(OPT0,OL); + if(TikZ && type(Ura)==4 && length(Ura)>2) OL0=cons(["opt",Ura[2]],OL); + LL=[[P0+Vz,P0+Vx+Vz],[P0,P0+Vx]]; + if(Bs>0){ + LL=cons([P0+Vy+Vz,Pz=P0+Vx+Vy+Vz],LL); + LL=cons([P0+Vx+Vz,Pz],LL); + PP=Pz-Vz; + } + else{ + LL=cons([P0+Vy,Pz=P0+Vx+Vy+Vz],LL); + LL=cons([P0+Vx,Pz],LL); + PP=Pz+Vz; + } + J=ceil((PP[0]-X0)/XD+0.5); + LL=append([[P0+Vy,P0+Vy+Vz],[P0+Vy,P0+Vy+Vz],[P0+Vx,P0+Vx+Vz],[P0,P0+Vz], + [P0+Vz,P0+Vy+Vz],[P0,P0+Vy]],LL); + for(LL=reverse(LL);LL!=[];LL=cdr(LL)) Out=saveproc(xylines(car(LL)|option_list=OL0),Out); + if(Dev>4) Dev2=ceil(Dev/2); + if(FC<0 && Raw!=1){ + if(TikZ){ + if(type(Ura)==4 && length(Ura)>2) + OL1=cons(["opt",Ura[2]+",dotted"],OL); + else OL1=cons(["opt","dotted"],OL); + }else OL1=cons(["opt","@{.}"],OL); + if(FC==-8) FC=0; + } + for(I=0;I<3;I++){ /* box with hidden part */ + if(I==1) Pz=PP-Vx; + else if(I==2) Pz=PP-Vy; + LP=Pz-PP; + for(FV=-1,K=0;K<=Dev2; K++){ + PPx=PP[0]+(K/Dev2)*LP[0]; PPy=PP[1]+(K/Dev2)*LP[1]; + J=ceil((PPx-X0)/XD); + if(K!=Dev2 && (J<0||J>Dev)) continue; + if(K!=Dev2 && (ZF[J]==0 || PPy<Z0[J] || PPy>Z1[J])){ /* visible */ + if(FV!=1){ + FV=1; + PPP=[PPx,PPy]; + } + }else{ + if(FV!=0){ + if(FV==1) Out=saveproc(xylines([PPP,[PPx,PPy]]|option_list=OL1),Out); + FV=0; + } + } + } + } + if(FC!=0 && Raw!=1){ /* show coordinate*/ + if(iand(FC,4)){ + Sub=1; + if(TikZ){ + S0="\\scriptsize";S1=""; + }else{ + S0="{}_{"; S1="}"; + } + }else Sub=0; + if(iand(FC,2)) + LLL=[[1,0,P0+Vx,(TikZ)?"right":"+!L"],[3,0,P0+Vy,(TikZ)?"left":"+!R"]]; + else LL=[]; + if(Bs>0){ + LLL=cons([0,0,P0,(TikZ)?"below":"+!U"],LLL); + LLL=cons([2,1,P0+Vx+Vy+Vz,(TikZ)?"above":"+!D"],LLL); + }else{ + LLL=cons([2,0,P0+Vx+Vy,(TikZ)?"below":"+!U"],LLL); + LLL=cons([0,1,P0+Vz,(TikZ)?"above":"+!D"],LLL); + } + for(TLL=LLL;TLL!=[];TLL=cdr(TLL)){ + TL=car(TLL);LL=L[(Sh+TL[0])%4]; + if(Cpx==0 || Cpx==3){ + S=ltotex([LL[0],LL[1],LZ[TL[1]]]|opt="coord"); + SS="("+rtostr(LL[0]) +","+rtostr(LL[1])+","+rtostr(LZ[TL[1]])+")"; + }else{ + S=ltotex([LL[0]+LL[1]*@i,LZ[TL[1]]]|opt="coord",cpx=Cpx); + SS="("+rtostr(LL[0])+"+"+rtostr(LL[1])+"i,"+ rtostr(LZ[TL[1]])+")"; + } + if(TikZ) S="$"+S+"$"; + if(Sub) S=S0+S+S1; + if(!TikZ) S="$"+S+"$"; + if(Proc) Out=cons([2,OptSc,[TL[2][0],TL[2][1]],[[TL[3],S]],SS],Out); + else str_tb(xyput([TL[2][0],TL[2][1],[TL[3],S]]|option_list=OptSc),Out); + } + } + } + if(type(Pt=getopt(pt))==4){ /* option pt=[] */ + if(type(Pt[0])<4) Pt=[[Pt]]; + if(length(Pt)>1&&type(Pt[1])!=4) Pt=[Pt]; + for(PT=Pt;PT!=[];PT=cdr(PT)){ + PP=car(PT); + if(type(PP)==4 && length(PP)==3 && type(PP[0])<2 && type(PP[2])<2) PP=[PP]; + P=car(PP); + if(type(P)==7) Q=[P,0]; + else if(P==1) Q=["_",0]; + else Q=mysubst([CX,CY],[[x,deval(P[0])],[y,deval(P[1])],[z,deval(P[2])]]); + if(length(PP)>1 && type(PP[1])==4 && length(PP[1])==3){ /* draw line */ + PP=cdr(PP);P=car(PP); + if(type(P)==7) Q1=P; + else if(P==1) Q="_"; + else Q1=mysubst([CX,CY],[[x,deval(P[0])],[y,deval(P[1])],[z,deval(P[2])]]); + if(length(PP)<2 || PP[1]==0 || iand(PP[1],1)) OL2=""; + else OL2=(TikZ)?"dotted":"@{.}"; + if(length(PP)>2 && type(PP[2])==7){ + if(OL2=="") OL2=PP[2]; + else{ + if(TikZ) OL2=OL2+","; + OL2=OL2+PP[2]; + } + } + OL1=OL; + if(OL2!="") OL1=cons(["opt",OL2],OL1); + if(length(PP)<2 || PP[1]>=0) + Out=saveproc(xylines([Q,Q1]|option_list=OL1),Out); + else{ + LP0=Q1[0]-Q[0];LP1=Q1[1]-Q[1]; + for(FV=-1,K=0;K<=Dev2; K++){ + PPx=Q[0]+(K/Dev2)*LP0; PPy=Q[1]+(K/Dev2)*LP1; + J=ceil((PPx-X0)/XD); + if(K!=Dev2 && (J<0 || J>Dev || ZF[J]==0 || PPy<Z0[J] || PPy>Z1[J])){ + /* visible */ + if(FV!=1){ + FV=1; + PPP=[PPx,PPy]; + } + }else{ + if(FV!=0){ + if(FV==1) Out=saveproc(xylines([PPP,[PPx,PPy]]|option_list=OL1),Out); + FV=0; + } + } + } + } + continue; + } + if(length(PP)==1) S="$\\bullet$"; + else if(type(PP[1])==7) S=PP[1]; + else if(type(PP[1])==4){ + if(length(PP[1])>1 && type(PP[1][1])!=7) + S=cons(car(PP),cons("$\\bullet$",cdr(cdr(PP)))); + else S=PP[1]; + }else S="$\\bullet$"; + if(length(PP)<=2){ + if(Proc) Out=cons([2,OptSc,[Q[0],Q[1]],[S]],Out); + else str_tb(xyput([Q[0],Q[1],S]|option_list=OptSc),Out); + }else if(!TikZ){ + if(Proc) Out=cons([2,OptSc,[Q[0],Q[1]],[S,"",PP[2]]],Out); + else str_tb(xyput([Q[0],Q[1],S,"",PP[2]]|option_list=OptSc),Out); + }else{ + if(Proc) Out=cons([2,OptSc,[Q[0],Q[1]],cons(S,cdr(cdr(PP)))],Out); + else str_tb(xyput(append([Q[0],Q[1],S],cdr(cdr(PP)))|option_list=OptSc),Out); + } + } + } + if(Proc){ + S=reverse(Out); + if(Proc==1||Proc==3){ + for(W=[],I=0;I<2;I++) for(J=0;J<2;J++) for(K=0;K<2;K++) + W=cons(mysubst([CX*Sc,CY*Sc],[[x,Lx[I]],[y,Ly[J]],[z,Lz[K]]]),W); + W=ptbbox(W); + S=cons([0,W[0],W[1],(TikZ)?1:1/10],S); + } + }else S=str_tb(0,Out); + if(type(Dvi)!=1||(Proc&&abs(Dvi)<2)) return S; + Lout=[]; + if(abs(Dvi)>=2){ + /* show title */ + L0=[]; + Title=getopt(title); + if(type(Title)!=7) + Title=(type(F00)==4)?("\\texttt{"+verb_tex_form(F00)+"}"):my_tex_form(F00); + if(type(Title)==7){ + T=my_tex_form(L[3][0])+"\\le x\\le "+my_tex_form(L[1][0])+",\\,"+ + my_tex_form(L[3][1])+"\\le y\\le "+my_tex_form(L[1][1])+")"; + if(Proc){ + if(Cpx>=1) L0=[[5,[["eq",1]],"|"+Title+"|\\quad(z=x+yi,\\ "+T]]; + else L0=[[5,[["eq",1]],"z="+Title+"\\ \\ ("+T]]; + }else{ + if(Cpx>=1) dviout("|"+Title+"|\\quad(z=x+yi,\\ "+T|eq=1,keep=1); + else dviout("z="+Title+"\\ \\ ("+T|eq=1,keep=1); + } + } + A=rint(deval(180*A/@pi))+90*(Sh-1); + if(A>=180) A-=180; + B=rint(deval(180*B/@pi)); + if(abs(Dvi)>=3){ + T="\\text{angle } ("+my_tex_form(A)+"^\\circ,"+my_tex_form(B)+"^\\circ)"; + if(Ratio!=1 || Ratio2!=1) T=T+"\\quad\\text{ratio }1:" + +my_tex_form(sint(Ratio2,2))+":"+my_tex_form(sint(Ratio,2)); + if(Proc) L0=cons([5,[["eq",1]],T],L0); + else dviout(T|eq=1,keep=1); + } + SS="% range "+rtostr([L[3][0],L[1][0]])+"x"+rtostr([L[3][1],L[1][1]])+ + " angle ("+ rtostr(A) +","+ rtostr(B)+") dev="; + if(M1==M2) SS=SS+rtostr(M1); + else SS=SS+rtostr([M1,M2]); + if(M3!=1) SS=SS+" acc="+rtostr(M3); + if(type(Sc0)>=0) SS=SS+" scale="+rtostr(Sc0); + if(Proc){ + S=cons([5,[],SS],S); + for(;L0!=[];L0=cdr(L0)) S=cons(car(L0),S); + return S; + } + if(Dvi>0){ + dviout(SS|keep=1); + dviout(xyproc(S)|eq=8); + }else Lout=[SS,S]; + }else{ + if(Dvi>0) dviout(xyproc(S)); + else Lout=[S]; + } + if(getopt(trans)==1) return cons([CX*Sc,CY*Sc],Lout); + if(Dvi<0) return Lout; +} + +def orthpoly(N) +{ + F=0; + if(type(P=getopt(pol))==7){ + for(L=["Le","Ge","Tc","2T","Ja","He","La","Se"];L!=[];L=cdr(L),F++) + if(str_str(P,car(L)|end=2)==0) break; + }else P=0; + if(type(D=N)==4) D=N[0]; + if(!isint(D)||D<0) return 0; + if(F==0) return seriesHG([-D,D+1],[1],(1-x)/2,D); + if(F==1) return red(seriesHG([-D,D+2*N[1]],[N[1]+1/2],(1-x)/2,D)*binom(D+2*N[1]-1,D)); + if(F==2) return seriesHG([-D,D],[1/2],(1-x)/2,D); + if(F==3){ + if(D==0) return 0; + return orthpoly([D-1,1]|pol="Ge"); + } + if(F==4) return red(seriesHG([-D,D+N[1]],[N[2]],x,D)); + if(F==5){ + for(S=I=1;I<=D;I+=2) S*=I; + if(iand(D,1)) return seriesHG([-(D-1)/2],[3/2],x^2/2,D-1)*x*S*(-1)^((D-1)/2); + else return seriesHG([-D/2],[1/2],x^2/2,D)*S*(-1)^(D/2); + } + if(F==6){ + NN=(type(N)==4)?N[1]:0; + return red(seriesHG([-D],[NN+1],x,D)*binom(D+NN,D)); + } + if(F==7){ + NN=N[1]; + for(S=1,I=1;I<=D;I++) S+=(-1)^I*binom(D,I)*binom(D+I,I)*sftpow(x,I)/sftpow(NN,I); + return S; + } + return 0; +} + +def schurpoly(L) +{ + N=length(L); + for(R=[],I=1;L!=[];L=cdr(L),I++) R=cons(car(L)+N-I,R); + L=reverse(R); + if(type(X=getopt(var))!=4){ + V=(type(X)>1)?X:"x"; + for(X=[],I=0;I<N;I++) X=cons(makev([V,N-I]),X); + } + M=newmat(N,N); + for(I=0;I<N;I++) + for(J=0;J<N;J++) M[I][J]=X[I]^L[J]; + P=det(M); + for(I=0;I<N;I++) + for(J=I+1;J<N;J++) P=sdiv(P,X[I]-X[J]); + return P; +} + +def fouriers(A,B,X) +{ + if((Y=getopt(y))==0||type(Y)>0) Y=deval(Y); + else Y=0; + if((V=getopt(const))==0||type(V)>0){ + V=myfeval(V,Y); + K=1; + }else K=0; + if(A!=[]&&type(car(A))>1){ + for(C=[],I=A[1];I>=K;I--) C=cons(myf2eval(car(A),I,Y),C); + if(K) C=cons(0,C); + A=C; + } + if(K){ + if(A!=[]) A=cdr(A); + A=cons(V,A); + } + if(B!=[]&&type(car(B))>1){ + for(C=[],I=B[1];I>0;I--) C=cons(myf2eval(car(B),I,Y),C); + B=C; + } + L=length(B)+1; + if(length(A)>=L) L=length(A)+1; + if(type(Sum=getopt(sum))>0){ + if(Sum==1) Sum=1-x; + else if(Sum==2) Sum=[(z__)/(3.1416*x),[z__,os_md.mysin,3.1416*x]]; + else Sum=f2df(Sum); + C=[]; + if(A!=[]){ + C=cons(car(A),C); + A=cdr(A); + } + for(I=1;A!=[];A=cdr(A),I++) C=cons(car(A)*myf2eval(Sum,I/L,L),C); + A=reverse(C); + for(C=[],I=1;B!=[];B=cdr(B),I++) C=cons(car(B)*myf2eval(Sum,I/L,L),C); + B=reverse(C); + } + if(getopt(cpx)==1){ + if(type(X=eval(X))>1) return todf([os_md.fouriers,[["cpx",1]]],[[A],[B],[X]]); + V=dexp(@i*X); + for(C=A,P=1,I=0;C!=[];C=cdr(C),I++){ + R+=S*car(C)*P; + P*=V; + } + V=dexp(-@i*X); + for(C=B,P=1,I=0;C!=[];C=cdr(C),I++){ + P*=V; + R+=car(C)*P; + } + return R; + } + if(type(X=eval(X))>1) return todf(os_md.fouriers,[[A],[B],[X]]); + for(C=A,I=0;C!=[];C=cdr(C),I++) + R+=car(C)*mycos(I*X); + for(C=B,I=1;C!=[];C=cdr(C),I++) + R+=car(C)*mysin(I*X); + return R; +} + + +def myexp(Z) +{ + if(type(Z=eval(Z))>1) return todf(os_md.myexp,[Z]); + if((Im=imag(Z))==0) return dexp(Z); + return dexp(real(Z))*(dcos(Im)+@i*dsin(Im)); +} + +def mycos(Z) +{ + if(type(Z=eval(Z))>1) return todf(os_md.mycos,[Z]); + if((Im=imag(Z))==0) return dcos(Z); + V=myexp(Z*@i); + return (V+1/V)/2; +} + +def mysin(Z) +{ + if(type(Z=eval(Z))>1) return todf(os_md.mysin,[Z]); + if((Im=imag(Z))==0) return dsin(Z); + V=myexp(Z*@i); + return (1/V-V)*@i/2; +} + +def mytan(Z) +{ + if(type(Z=eval(Z))>1) return todf(os_md.mytan,[Z]); + if((Im=imag(Z))==0) return dtan(Z); + V=myexp(2*Z*@i); + return @i*(1-V)/(1+V); +} + +def mylog(Z) +{ + if(type(Z=eval(Z))>1) return todf(os_md.mylog,[Z]); + if((Im=imag(Z))==0) return dlog(Z); + return dlog(dabs(Z))+@i*myarg(Z); +} + +def mypow(Z,R) +{ + if(type(Z=eval(Z))>1||type(R=eval(R))>1) return todf(os_md.mypow,[Z,R]); + if(Z==0) return 0; + if(isint(2*R)){ + if(R==0) return 1; + if(isint(R)) return Z^R; + V=dsqrt(Z); + if(R==1/2) return V; + return Z^(R-1/2)*V; + } + return myexp(R*mylog(Z)); +} + +def myarg(Z) +{ + if(type(Z=map(eval,Z))==4){ + if(length(Z)!=2) return todf(os_md.myarg,[Z]); + Re=Z[0];Im=Z[1]; + }else if(type(Z)>1){ + return todf(os_md.myarg,[Z]); + }else { + Im=imag(Z);Re=real(Z); + } + if(Re==0) return (Im<0)?-deval(@pi)/2:deval(@pi)/2; + V=datan(Im/Re); + if(Re>0) return V; + return (V>0)?(V-deval(@pi)):(V+deval(@pi)); +} + +def myatan(Z) +{ + if(type(Z=eval(Z))>1) return todf(os_md.myatan,[Z]); + if((Im=imag(Z))==0) return datan(Z); + mylog((1-Z*@i)/(1+Z*@i))*@i/2; +} + +def myasin(Z) +{ + if(type(Z=eval(Z))>1) return todf(os_md.myasin,[Z]); + return deval(@pi/2)-myacos(Z); +} + +def frac(X) +{ + if(type(X=eval(X))>1) return todf(os_md.frac,[X]); + return (ntype(X)==3)? pari(frac,X):(X-floor(X)); +} + +def myacos(Z) +{ + if(type(Z=eval(Z))>1) return todf(os_md.myacos,[Z]); + if(imag(Z)==0 && Z<=1 && Z>=-1) return dacos(Z); + return mylog(Z-dsqrt(Z^2-1))*@i; +} + +def arg(Z) +{ + if(vars(Z=map(eval,Z))!=[]) return todf(os_md.arg,[Z]); + return (type(Z)==4)?pari(arg,Z[0],Z[1]):arg(sqrt,Z); +} + +def sqrt(Z){ + if(vars(Z=map(eval,Z))!=[]) return todf(os_md.sqrt,[Z]); + R=(type(Z)==4)?Z[1]:Z; + if(ntype(R)==0){ + if(R==0) return 0; + if(R>0){ + if(pari(issquare,R)) return pari(isqrt,nm(R))/pari(isqrt,dn(R)); + }else{ + R=-R; + if(pari(issquare,R)) return pari(isqrt,nm(R))/pari(isqrt,dn(R))*@i; + } + } + return (type(Z)==4)?pari(sqrt,Z[0],Z[1]):pari(sqrt,Z); +} + +def gamma(Z) +{ + if(vars(Z=map(eval,Z))!=[]) return todf(os_md.gamma,[Z]); + return (type(Z)==4)?pari(gamma,Z[0],Z[1]):pari(gamma,Z); +} + +def lngamma(Z) +{ + if(vars(Z=map(eval,Z))!=[]) return todf(os_md.lngamma,[Z]); + return (type(Z)==4)?pari(lngamma,Z[0],Z[1]):pari(lngamma,Z); +} + +def digamma(Z) +{ + if(vars(Z=map(eval,Z))!=[]) return todf(os_md.digamma,[Z]); + return (type(Z)==4)?pari(digamma,Z[0],Z[1]):pari(digamma,Z); +} + +def dilog(Z) +{ + if(vars(Z=map(eval,Z))!=[]) return todf(os_md.dilog,[Z]); + return (type(Z)==4)?pari(dilog,Z[0],Z[1]):pari(dilog,Z); +} + +def erfc(Z) +{ + if(vars(Z=map(eval,Z))!=[]) return todf(os_md.erfc,[Z]); + return (type(Z)==4)?pari(erfc,Z[0],Z[1]):pari(erfc,Z); +} + +def zeta(Z) +{ + if(vars(Z=map(eval,Z))!=[]) return todf(os_md.zeta,[Z]); + return (type(Z)==4)?pari(zeta,Z[0],Z[1]):pari(zeta,Z); +} + +def eta(Z) +{ + if(vars(Z=map(eval,Z))!=[]) return todf(os_md.eta,[Z]); + return (type(Z)==4)?pari(eta,Z[0],Z[1]):pari(eta,Z); +} + +def jell(Z) +{ + if(vars(Z=map(eval,V))>1) return todf(os_md.jell,[Z]); + return (type(Z)==4)?pari(jell,Z[0],Z[1]):jell(jell,Z); +} + +def evals(F) +{ + if(type(F)==7){ + if(type(Del=getopt(del))!= 7) return eval_str(F); + S=strtoascii(Del);K=length(S); + if(K==0) return [eval_str(F)]; + Raw=getopt(raw); + F=strtoascii(F);L=[];T1=0; + do{ + T2=str_str(F,S|top=T1); + if(T2<0) T2=10000; + FT=str_cut(F,T1,T2-1); + L=cons((Raw==1)?FT:evals(FT),L); + T1=T2+K; + }while(T2!=10000); + return reverse(L); + } + if(type(F)==4){ + if(type(S=car(F))==7){ + S+="("; + for(I=0,FT=cdr(F); FT!=[]; I++,FT=cdr(FT)){ + if(type(ST=car(FT))!=7) ST=rtostr(ST); + if(I>0) S=S+","+ST; + else S=S+ST; + } + S=S+")"; + return eval_str(S); + }else return call(S,cdr(F)); + } + return F; +} + +def myval(F) +{ + if(type(F)!=4){ + F=f2df(sqrt2rat(F)); + if(type(F)!=4) return F; + }; + if(length(F)==1) V=car(F); + else for(V=car(F),F=cdr(F); F!=[];){ + FT=car(F); + if(type(G=FT[1])==2){ + if(length(FT)>2){ + FT2=myval(FT[2]); + if(length(FT)>3) FT3=myval(FT[3]); + }; + X=red(FT2/@pi);Vi=-red(FT2*@i/@pi);W=red(FT2/@e); + if(G==os_md.mypow && FT3==1/2){ + G=os_md.sqrt; + FT=[FT[0],G,FT[2]]; + } + if((T=findin(G, + [sin,os_md.mysin,cos,os_md.mycos,tan,os_md.mytan]))>=0 + &&(isint(6*X)||isint(4*X))){ + if(T==2||T==3){ + T=0;X=1/2-X; + } + X=X-floor(X/2)*2; + if(T==0||T==1){ + if(X>1){ + S=-1;X-=1; + }else S=1; + if(X>1/2) X=1-X; + if(X==0) R=0; + else if(X==1/6) R=1/2; + else if(X==1/4) R=2^(1/2)/2; + else if(X==1/3) R=3^(1/2)/2; + else R=1; + R*=S; + }else{ + if(X>1) X-=1; + if(X>1/2){ + S=-1;V=1-X; + }else S=1; + if(X==0) R=0; + else if(X==1/6) R=3^(1/2)/3; + else if(X==1/4) R=1; + else if(X==1/3) R=3^(1/2); + else R=2^512; + R*=S; + } + }else if((G==exp||G==os_md.myexp)&&(isint(FT2)||isint(6*Vi)||isint(4*Vi))){ + if(isint(FT2)) R=@e^FT2; + else R=myval([z+w*@i,[z,cos,Vi*@pi],[w,sin,Vi*@pi]]); + }else if((G==pow||G==os_md.mypow) && (isint(FT3)||FT2==1||FT2==0)){ + if(FT2==0) R=0; + else if(FT2==1) R=1; + else R=FT2^FT3; + }else if(G==os_md.abs&&ntype(P=eval(FT2))<4){ + R=FT2; + if(P<0) R=-R; + }else if((G==os_md.sqrt||G==dsqrt)&&type(FT2)<2&&ntype(FT2)==0) + R=sqrtrat(FT2); + else if((G==os_md.mylog||G==dlog)&&(FT2==@e||FT2==1)) + R=(FT2==1)?0:1; + else if(length(FT)==3) R=eval((*G)(myeval(FT2))); +#ifdef USEMODULE + else R=call(G,map(os_md.myeval,cdr(cdr(FT)))); +#else + else R=call(G,map(myeval,cdr(cdr(FT)))); +#endif + } + else if(G==0) R=FT[2]; +#ifdef USEMODULE + else R=eval(call(G[0],map(os_md.myeval,cdr(cdr(FT)))|option_list=G[1])); +#else + else R=eval(call(G[0],map(myeval,cdr(cdr(FT)))|option_list=G[1])); +#endif + V=mysubst(V,[FT[0],R]); + F=mysubst(cdr(F),[FT[0],R]); + } + if(type(V)<4 && !iscoef(V,os_md.iscrat)) V=eval(V); +#if 0 + return (type(V)<4)?myeval(V):mtransbys(os_md.myeval,V,[]); +#else + return V; +#endif +} + +/* -1:‹ó 0:®” 1:—L—” 2:Gauss®” 3:Gauss—L—” 4:‚»‚êˆÈŠO‚Ì•¡‘f” */ +/* def vntype(F) +{ + if((T=type(F))<2){ + if(T<0) return -1; + if((Tn=ntype(F))==0){ + return (isint(F))?0:1; + } + if(Tn==4){ + if(ntype(real(F))==0&&ntype(real(F))==0) + return (isint(F)&&isint(F))?2:3; + return 4; + } + } + if(T==2){ + V=vars(F); + if((VV=lsort(V,[@e,@pi],1))==[]){ + FT=mycoef( + }else{ + if(length(VV)==1){ + }else + } + }else if(T==3){ + + } +} +*/ + + +def myeval(F) +{ + if(type(F)!=4) V=F; + else if(length(F)==1) V=car(F); + else for(V=car(F),F=cdr(F); F!=[];){ + FT=car(F); + if(type(G=FT[1])==2){ + if(length(FT)==3) R=(*G)(myeval(FT[2])); +#ifdef USEMODULE + else R=call(G,map(os_md.myeval,cdr(cdr(FT)))); +#else + else R=call(G,map(myeval,cdr(cdr(FT)))); +#endif + } + else if(G==0) R=myeval(FT[2]); +#ifdef USEMODULE + else R=call(G[0],map(os_md.myeval,cdr(cdr(FT)))|option_list=G[1]); +#else + else R=call(G[0],map(myeval,cdr(cdr(FT)))|option_list=G[1]); +#endif + V=mysubst(V,[FT[0],R]); + F=mysubst(cdr(F),[FT[0],R]); + } + return (type(V)<4)?eval(V):mtransbys(eval,V,[]); +} + +def mydeval(F) +{ + if(type(F)!=4) V=F; + else if(length(F)==1) V=car(F); + else for(V=car(F),F=cdr(F); F!=[]; ){ + FT=car(F); + if(type(G=FT[1])==2){ + if(length(FT)==3) R=(*G)(myeval(FT[2])); +#ifdef USEMODULE + else R=call(G,map(os_md.mydeval,cdr(cdr(FT)))); +#else + else R=call(G,map(mydeval,cdr(cdr(FT)))); +#endif + } + else if(G==0) R=mydeval(FT[2]); +#ifdef USEMODULE + else R=call(G[0],map(os_md.mydeval,cdr(cdr(FT)))|option_list=G[1]); +#else + else R=call(G[0],map(mydeval,cdr(cdr(FT)))|option_list=G[1]); +#endif + V=mysubst(V,[FT[0],R]); + F=mysubst(cdr(F),[FT[0],R]); + } + return (type(V)<4)?deval(V):mtransbys(deval,V,[]); +} + +def myfeval(F,X) +{ + if(type(X)==4){ + if(isvar(X[0])&&length(X)==2) + return mydeval(mysubst(F,[X[0],X[1]])); + if(type(X[0])==4&&isvar(X[0][0])&&length(X[0])==2){ + for(Y=X;Y!=[];Y=cdr(Y)) + F=mysubst(F,[car(Y)[0],car(Y)[1]]); + return myeval(F); + } + } + return myeval(mysubst(F,[x,X])); +} + +def myf2eval(F,X,Y) +{ + return myeval(mysubst(F,[[x,X],[y,Y]])); +} + +def myf3eval(F,X,Y,Z) +{ + return myeval(mysubst(F,[[x,X],[y,Y],[z,Z]])); +} + +def myfdeval(F,X) +{ + if(type(X)==4){ + if(isvar(X[0])&&length(X)==2) + return mydeval(mysubst(F,[X[0],X[1]])); + if(type(X[0])==4&&isvar(X[0][0])&&length(X[0])==2){ + for(Y=X;Y!=[];Y=cdr(Y)) + F=mysubst(F,[car(Y)[0],car(Y)[1]]); + return mydeval(F); + } + } + return mydeval(mysubst(F,[x,X])); +} + +def myf2deval(F,X,Y) +{ + return mydeval(mysubst(F,[[x,X],[y,Y]])); +} + +def myf3deval(F,X,Y,Z) +{ + return mydeval(mysubst(F,[[x,X],[y,Y],[z,Z]])); +} + +def df2big(F) +{ + AG=[[os_md.mysin,sin],[os_md.mycos,cos],[os_md.mytan,tan],[os_md.myasin,asin], + [os_md.acos,acos],[os_md,atan,atan],[os_md.myexp,exp],[os_md.mylog,log],[os_md.mypow,pow]]; + if(getopt(inv)!=1) return mysubst(F,AG); + else return mysubst(F,AG|inv=1); + +} + +def f2df(F) +{ + if(type(Opt=getopt(opt))!=1) Opt=0; + if(iand(Opt,1)){ + if(Opt>0) F=map(eval,F); + else F=map(deval,F); + } + Cpx=getopt(cpx); + if(type(F)==4 && iand(Opt,2)==0) return F; + K=getopt(level); + if(type(K)!=1) K=0; + AG=[sin,cos,tan,asin,acos,atan,exp,sinh,cosh,tanh,log,pow]; + AGd=[os_md.mysin,os_md.mycos,os_md.mytan,os_md.myasin,os_md.myacos, + os_md.myatan,os_md.myexp,os_md.myexp,os_md.myexp,os_md.myexp, + os_md.mylog,os_md.sqrt,os_md.myexp]; + for(R=[],I=0,Arg=vars(F);Arg!=[];Arg=cdr(Arg)){ + Fn=functor(car(Arg)); + if(vtype(Fn)!=3) continue; + V=args(car(Arg)); + for(PAG=AG,PAGd=AGd;PAG!=[];PAG=cdr(PAG),PAGd=cdr(PAGd)){ + if(Fn==car(PAG)){ + if(K==0) L="z__"; + else L="z"+rtostr(K)+"__"; + if(I==0) VC=makev([L]); + else VC=makev([L,I]); + I++; + VC0=VC; + if(Fn==sinh || Fn==cosh || Fn==tanh){ + VC=makev([L,I++]); + if(Fn==sinh) + R=cons([VC0,0,(VC^2-1)/(2*VC)],R); + else if(Fn==cosh) + R=cons([VC0,0,(VC^2+1)/(2*VC)],R); + else + R=cons([VC0,0,(VC^2-1)/(VC^2+1)],R); + } + if(Fn==pow && (V[1]!=1/2||Cpx==1)){ +#if 0 + R0=f2df(V[1]*((type(V[0])==1)?dlog(V[0]):log(V[0]))|level=K+1); + PAGd=cdr(PAGd); +#else + R=cons([VC,os_md.mypow,V[0],V[1]],R); + F=mysubst(F,[car(Arg),VC0]); + Arg=cons(0,vars(F)); + break; +#endif + }else R0=f2df(V[0]|level=K+1); + R=cons([VC,car(PAGd),R0],R); + F=mysubst(F,[car(Arg),VC0]); + Arg=cons(0,vars(F)); + break; + } + } + } + if(R==[]) return F; + if(Cpx==1){ + for(PAG=P,PAGd=AGd;PAG!=[];PAG=cdr(PAG),PAGd=cdr(PAGd)) + R=mysubst(R,[car(PADd),car(PAG)]); + } + return cons(F,reverse(R)); +} + +def todf(F,V) +{ + if(type(V)!=4) V=[V]; + for(R=[];V!=[];V=cdr(V)){ + R=cons(f2df(car(V)),R); + } + V=reverse(R); + Z=makenewv([F,V]); + return [Z,cons(Z,cons(F,V))]; +} + +def compdf(F,V,G) +{ + FL=["abs","floor","rint","zeta","gamma","arg","real","imag","conj"]; + FS=[os_md.abs,floor,rint,os_md.zeta,os_md.gamma,os_md.myarg,real,imag,conj]; + if(type(F)==7){ + if(str_str(F,"|")==0){ + F="abs("+str_cut(F,1,str_len(F)-2)+")"; + }else if(str_str(F,"[")==0){ + F="floor("+str_cut(F,1,str_len(F)-2)+")"; + } + I=str_str(F,"("); + Var=x; + if(I>0){ + J=str_pair(F,I+1,"(",")"); + if(J<0) return 0; + Var=eval_str(str_cut(F,I+1,J-1)); + Var=f2df(Var); + F0=str_cut(F,0,I-1); + } + if((I=findin(F0,FL))<0&&(I=findin(F,FL))<0) F=f2df(eval_str(F)); + else F=[z__,[z__,FS[I],Var]]; + } + if(type(F)!=4) F=f2df(F); + if(type(G)!=4) G=f2df(G); + if(V==G) return F; /* subst(F(V),V,G) */ + VF=vars(F);VG=vars(G); + if(type(V)==4){ + for(VT=[],VV=V;VV!=[];VV=cdr(VV)){ + if(findin(car(VV),VF)>=0){ + X=makenewv(append(VF,VG)); + VF=cons(X,VF); + F=mysubst(F,[car(VV),X]); + VT=cons(X,VT); + }else VT=cons(car(VV),VT); + } + for(V=reverse(VT);V!=[];V=cdr(V),G=cdr(G)) F=compdf(F,car(V),car(G)); + return F; + } + for(E=I=0;I<30;I++){ + for(J=0;J<30;J++){ + X=makev(["z__",I,J]); + if(findin(X,VF)<0 && findin(X,VG)<0){ + E=1;break; + } + } + if(E) break; + } + if(!E) return 0; + if(type(G)<4) return mysubst(F,[V,G]); + if(type(F)<4) F=[F]; /* return compdf([X,[X,0,F]],V,G); */ + F=mysubst(F,[V,X]); + if(isvar(G[0])){ + G=mysubst(G,[G[0],X]); + if(length(G)==2&&type(G[1])==4&&G[1][0]==X) G=G[1]; + G=cons(G,cdr(F)); + } + else G=cons([X,0,G],cdr(F)); + return cons(car(F),G); +} + +def fzero(F,LX) +{ + if(length(LX)==3){ + V=LX[0];LX=cdr(LX); + }else V=x; + LX1=eval(LX[0]);LX2=eval(LX[1]); + if(getopt(zero)==1){ + if(getopt(cont)==1) CT=1; + else CT=0; + if(getopt(trans)!=1 && type(F)<4) F=f2df(F); + F=mysubst(F,[[@pi,deval(@pi)],[@e,deval(@e)]]); + if(type(Dev=getopt(dev))!=1 || Dev<2) Dev=16; + V1=myeval(mysubst(F,[V,X1=LX1])); + V2=myeval(mysubst(F,[V,X2=LX2])); + if(V1>0){ + V0=V1;V1=V2;V2=V0; + X0=X1;X1=X2;X2=X0; + } + if(V1<0 && V2>0){ + D=(V2-V1)*1024; + for(I=0; I<Dev; I++){ +/* mycat([D,X1,V1,X2,V2]) ; */ + if(iand(I,1)) X0=(X1+X2)/2; + else X0=(V2*X1-V1*X2)/(V2-V1); + V0=myeval(mysubst(F,[V,X0])); + if(V0==0||V0==V1||V0==V2) return [X0,V0]; + if(V0<0){ + if(!CT && V0+D<0) return []; + V1=V0;X1=X0; + }else{ + if(!CT && V0>D) return []; + V2=V0;X2=X0; + } + } + X0=(V2*X1-V1*X2)/(V2-V1); + return [X0,myeval(mysubst(F,[V,X0]))]; + } + if(V0==0) return [X0,V0]; + if(V1==0) return [X1,V1]; + return []; + } + if(type(F)<4) F=f2df(F); + F=mysubst(F,[[@pi,deval(@pi)],[@e,deval(@e)]]); + L=[]; + if(type(F)<4){ + if(type(F)==3) F=nm(red(F)); + if((Deg=deg(F,V))<=2){ + if(Deg==2){ + D=(C1=coef(F,1,V))^2-4*(C2=coef(F,2,V))*coef(F,0,V); + if(D>=0){ + R=dsqrt(D); + if((S=(-C1+R)/(2*C2))>=LX1&&S<=LX2) L=[[S,mysubst(F,[V,S])]]; + if(D!=0 && (S=(-C1-R)/(2*C2))>=LX1&&S<=LX2) L=cons([S,mysubst(F,[V,S])],L); + } + L=qsort(L); + }else if(Deg==1&&(S=-coef(F,0,V)/coef(F,1,V))>=LX1&&S<=LX2) + L=[[S,mysubst(F,[V,S])]]; + return L; + } + for(L=[];S!=[];S=cdr(S)) + if(car(S)>=LX1&&car(S)<=LX2) L=cons([car(S),mysubst(F,[V,car(S)])],L); + return qsort(L); + } + if(type(Div=getopt(mesh))!=1 || Div<=0) + Div = 2^(10); + W=(LX2-LX1)/Div; + for(I=V2=0;I<=Div;I++){ + X1=X2;X2=LX1+I*W;V1=V2; + if((V2=myeval(mysubst(F,[V,X2])))==0) + L=cons([X2,V2],L); + if(V1*V2<0){ + L0=fzero(F,[V,X1,X2]|zero=1,trans=1); + if(L0!=[]) L=cons(L0,L); + } + } + return reverse(L); +} + +def fmmx(F,LX) +{ + if(length(LX)==3){ + V=LX[0];LX=cdr(LX); + }else V=x; + LX1=eval(LX[0]);LX2=eval(LX[1]); + FT=F; + if(getopt(trans)!=1 && type(F)<4) FT=f2df(FT); + FT=mysubst(FT,[[@pi,eval(@pi)],[@e,eval(@e)]]); + if(type(G=getopt(dif))>=1){ + if(G==1) G=os_md.mydiff(F,V); + L=fzero(G,[V,LX1,LX2]|option_list=getopt()); + R=[[LX1,myeval(mysubst(FT,[V,LX1]))]]; + for(I=0;L!=[];L=cdr(L),I++){ + X=car(L)[0]; + if(X==LX1) continue; + R=cons([X,myeval(mysubst(FT,[V,X]))],R); + } + if(X!=LX2) R=cons([LX2,myeval(mysubst(FT,[V,LX2]))],R); + if(getopt(mmx)!=1) return reverse(R); + for(Mi=Ma=car(R);R!=[];R=cdr(R)){ + if(car(R)[1]>Ma[1]) Ma=car(R); + else if(car(R)[1]<Mi[1]) Mi=car(R); + } + return [Mi,Ma]; + } + if(type(Div=getopt(mesh))!=1 || Div<=0) + Div = 2^(10); + if(type(Dev=getopt(dev))!=1 || Dev<2) Dev=16; + W=(LX2-LX1)/Div; + for(I=V2=V3=0;I<=Div;I++){ + X1=X2;X2=X3;X3=LX1+I*W;V1=V2;V2=V3; + V3=myeval(mysubst(FT,[V,X3])); + if(I==0) L=[[X3,V3]]; + if(I<2) continue; + if((V1-V2)*(V2-V3)<0){ + X02=X2;V02=V2;X03=X3;V03=V3; + for(J=0; J<Dev && X1!=X3; J++){ + X12=(X1+X2)/2;V12=myeval(mysubst(FT,[V,X12])); + if((V1-V12)*(V12-V2)<=0){ + X3=X2;V3=V2;X2=X12;V2=V12;continue; + } + X23=(X2+X3)/2;V23=myeval(mysubst(FT,[V,X23])); + if((V12-V2)*(V2-V23)<=0){ + X1=X12;V1=V12;X3=X23;V3=V23;continue; + } + if((V2-V23)*(V23-V3)<=0){ + X1=X2;V1=V2;X2=X23;V2=V23;continue; + } + } + L=cons([X2,V2],L); + X2=X02;V2=V02;X3=X03;V3=V03; + } + } + L=cons([LX2,myeval(mysubst(FT,[V,LX2]))],L); + if(getopt(mmx)!=1) return L; + for(Mi=Ma=car(L);L!=[];L=cdr(L)){ + if(car(L)[1]>Ma[1]) Ma=car(L); + else if(car(L)[1]<Mi[1]) Mi=car(L); + } + return [Mi,Ma]; +} + +def flim(F,L) +{ + FD=f2df(F); + Lim0=4;Lim=12;FS=1; + if(type(Pc=getopt(prec))==1){ + if((Pc>1&&Pc<31)||Pc>-5) Lim+=Pc; + } + if(type(Pc=getopt(init))==1 && Pc>0) FS*=Pc; + if(type(L)==7) L=[L]; + else if(type(L)<2){ + K=flim(F,["+",L]|option_list=getopt()); + if(K=="") return K; + K1=flim(F,["-",L]|option_list=getopt()); + if(K1=="") return K1; + if(type(K)==7||type(K1)==7){ + if(K!=K1) return ""; + return K; + } + if(abs(K)<10^(-5)){ + if(abs(K1)<10^(-5)) return (K1+K)/2; + else return ""; + } + if(abs((K1-K)/K)<10^(-4)) return (K1+K)/2; + return ""; + } + if(type(L)!=4||type(L[0])!=7) return ""; + if(L[0]=="-"||L[0]=="-infty"){ + FS=-FS; + }else if(L[0]!="+"&&L[0]!="infty") return ""; + FI=(length(L)==1)?1:0; + for(Inf=0,I=Lim0;I<Lim;I++){ + D1=FS*8^I;D2=8*D1; + if(FI==0){ + D1=1/D1;D2=1/D2; + } + if(D1>D2){ + D=D1;D1=D2;D1=D; + X1=D1;X2=D2; + } + if(FI==0){ + D1+=L[1];D2+=L[1]; + } + K=fmmx(FD,[D1,D2]|mmx=1,mesh=16,dev=4); + if(I>Lim0){ + if(DF<K[1][1]-K[0][1]&&DF>10^(-8)&&DF<10^7){ + if(I>Lim0+1){ + if(Inf==0) return ""; + }else Inf=1; + }else if(Inf==1) return ""; + } + DF=K[1][1]-K[0][1]; + } + if(Inf==1){ + if(K[0][1]>10^8) return "+"; + else if(K[1][1]<-10^8) return "-"; + return ""; + } + V=(myfeval(FD,D1)+1.0)-1.0; + if(V!=0 && abs(V)<10^(-9)) return 0; + return V; +} + +def fcont(F,LX) +{ + if(length(LX)==3){ + V=LX[0];LX=cdr(LX); + }else V=x; + LX1=eval(LX[0]);LX2=eval(LX[1]); + if(getopt(trans)!=1 && type(F)<4) FT=f2df(F); + if(type(Div=getopt(mesh))!=1 || Div<=0) + Div = 2^(10); + if(type(Dev=getopt(dev))!=1 || Dev<2) Dev=16; + W=(LX2-LX1)/Div; + if((Df=getopt(dif))!=1){ + Df=0; + }else{ + if(Dev==16) Dev=6; + WD=W/2^(Dev+1); + } + F=FT; + C=2; + for(I=V2=V3=0;I<=Div;I++){ + X1=X2;X2=X3;X3=LX1+I*W;V1=V2;V2=V3; + V3=myeval(mysubst(F,[V,X3])); + if(Df){ + if(I==Div) break; + V3=(myeval(mysubst(F,[V,X3+WD]))-V3)/WD; + } + if(I==0) L=[[X3,V3]]; + if(I<2) continue; + if(C*dabs(2*V2-V1-V3) > dabs(V1-V3)){ + X01=X1;V01=V1;X02=X2;V02=V2;X03=X3;V03=V3; + for(J=0; X01!=X03; J++){ + if(dabs(V01-V02)>dabs(V02-V03)){ + X03=X02;V03=V02; + }else{ + X01=X02;V01=V02; + } + if(J==Dev) break; + X02=(X01+X02)/2; + V02=myeval(mysubst(F,[V,X02])); + if(Df) V02=(myeval(mysubst(F,[V,WD]))-V02)/WD; + if(C*dabs(2*V02-V01-V03) < dabs(V01-V03)) break; + } + if(J==Dev||X01==X03) L=cons([X01,X03,V03-V01],L); + } + } + return reverse(L); +} + +def xygraph(F,N,LT,LX,LY) +{ + if((Proc=getopt(proc))!=1&&Proc!=2&&Proc!=3) Proc=0; + if(type(DV=getopt(dviout))==4){ + OL=delopt(getopt(),["dviout","shift","ext","cl"]); + OL=cons(["proc",1],OL); + R=xygraph(F,N,LT,LX,LY|option_list=OL); + OL=delopt(getopt(),["shift","ext","cl"]|inv=1); + return execdraw(R,DV|optilon_list=OL); + } + if(N==0) N=32; + if(N<0){ + N=-N; + N1=-1; N2=N+1; + }else{ + N1=0; N2=N; + } + if(length(LT)==3 && isvar(LT[0])==1){ + TT=LT[0]; LT=cdr(LT); + F=mysubst(F,[TT,x]); + } + if(LX==0) LX=LT; + if((Acc=getopt(Acc))!=1) Acc=0; + if(Acc){ + LX=[eval(LX[0]),eval(LX[1])]; + LY=[eval(LY[0]),eval(LY[1])]; + LT=[eval(LT[0]),eval(LT[1])]; + }else{ + LX=[deval(LX[0]),deval(LX[1])]; + LY=[deval(LY[0]),deval(LY[1])]; + LT=[deval(LT[0]),deval(LT[1])]; + } + TD=(LT[1]-LT[0])/N; + if(type(Mul=getopt(scale))!=1){ + if(type(Mul)==4){ + MulX=Mul[0]; MulY=Mul[1]; + }else MulX=MulY=1; + }else MulX=MulY=Mul; + if(type(Org=getopt(org))==4){ + Orgx=Org[0];Orgy=Org[1]; + }else Orgx=Orgy=0; + if(type(F)!=4 || (getopt(para)!=1 && length(F)>1 && type(F[0])<4 && type(F[1])==4)) { + if(getopt(rev)!=1){ + F1=x; /* LX[0]+(LX[1]-LX[0])*(x-LT[0])/(TD*N); */ + F2=F; + }else{ + F1=F; + F2=x; /* LY[0]+(LY[1]-LY[0])*(x-LT[0])/(TD*N); */ + } + }else{ + F1=F[0]; F2=F[1]; + } + if(F1==0 || F2==0) LT=[]; + if(length(LT)==2){ + if(Acc){ + for(LTT=[],I=N2;I>=N1;I--) + LTT=cons(eval(LT[0]+I*(LT[1]-LT[0])/N),LTT); + }else{ + for(LTT=[],I=N2;I>=N1;I--) + LTT=cons(deval(LT[0]+I*(LT[1]-LT[0])/N),LTT); + } + LT=LTT; + } + Cpx=getopt(cpx); + if(Cpx!=1 && (str_str(rtostr(F1),"@i")>=0 || str_str(rtostr(F2),"@i")>=0)) + Cpx=1; + if(type(Cpx)<0) Cpx=0; + if(!Acc){ + if(type(F1)<4) F1=f2df(F1); + if(type(F2)<4) F2=f2df(F2); + } + if(type(Err=getopt(err))==1){ + F1=mysubst(F1,[x,x+Err*TD/1001.23]); + F2=mysubst(F2,[x,x+Err*TD/1001.23]); + } + if(type(F1)==4 || type(F2)==4){ + Dn=1; + }else Dn=dn(F1)*dn(F2); + for(V=[],PT=LT;PT!=[]; PT=cdr(PT)){ + T=car(PT); + if(myfeval(Dn,T)==0){ + V=cons(0,V); continue; + } + if(Cpx>0||Acc){ + X=myfeval(F1,T);Y=myfeval(F2,T); + }else{ + X=myfdeval(F1,T);Y=myfdeval(F2,T); + } + if((N1==0||(PT!=LT&&length(PT)!=1)) && (X<LX[0]||X>LX[1]||Y<LY[0]||Y>LY[1])) + V=cons(0,V); + else + V=cons([MulX*(X-Orgx),MulY*(Y-Orgy)],V); + } + V=reverse(V); + Gap0=Gap=Arg=0; + if(type(Prec=getopt(prec))<0) + Level=0; + else if(Prec==0) Level=4; + else if(type(Prec)==1){ + Level=Prec; + if(Level<0){ + Level=-Level; + Gap0=1; + } + }else if(type(Prec)==4){ + Level=Prec[0]; + if(length(Prec)>1) Arg=Prec[1]; + if(length(Prec)>2) Gap0=Prec[2]; + } + if(Level>0){ + if(Level>16) Level=16; + if(Arg<=0) Arg=30; + else if(Arg>120) Arg=120; + Arg=Acc?eval(@pi*Arg/180):deval(@pi*Arg/180); + SL=dcos(Arg); + } + if(Gap0>0){ + if(Gap0<2) Gap0=16; + else if(Gap0>512) Gap0=512; + Gap=((MulX*(LX[1]-LX[0]))^2+(MulY*(LY[1]-LY[0]))^2)/(Gap0^2); + } + for(I=0;I<Level;I++){ + for(F=K=G=0,NV=NLT=[],PLT=LT,PV=V;PLT!=[];K++,PLT=cdr(PLT),PV=cdr(PV)){ + TG=0;D0=D1;CLT0=CLT;CV0=CV;CV=car(PV);CLT=car(PLT); + if(length(PV)>1){ + if((CV1=car(cdr(PV)))!=0 && CV!=0) + D1=[CV[0]-CV1[0],CV[1]-CV1[1]]; + else D1=0; + }else K=-1; /* ? */ + if(K>0 &&(((D1==0||D0==0)&&(CV0!=0||CV!=0||CV1!=0)) || dvangle(D0,D1)<SL || + (Gap>0 && type(D0)==4 && (TG=(D0[0]^2+D0[1]^2-Gap)>0)))){ + G++;T1=(CLT0+CLT)/2; + if(F==0 && (CV0!=0 || CV!=0)){ + if(myfdeval(Dn,T1)==0){ + NV=cons(0,NV); NLT=cons(T1,NLT); + } + if(Cpx>0||Acc){ + X=myfeval(F1,T1);Y=myfeval(F2,T1); + }else{ + X=myfdeval(F1,T1);Y=myfdeval(F2,T1); + } + if(K==1 && N1<0){ + NV=[];NLT=[]; + } + if((K>1||N1==0)&&(X<LX[0]||X>LX[1]||Y<LY[0]||Y>LY[1])){ + NV=cons(0,NV);NLT=cons(T1,NLT);F=0; + }else{ + NV=cons([MulX*(X-Orgx),MulY*(Y-Orgy)],NV);NLT=cons(T1,NLT); + } + } + NV=cons(CV,NV);NLT=cons(CLT,NLT); + if(!TG&&(CV0!=0||CV1!=0)){ + T2=(car(cdr(PLT))+CLT)/2; + if(myfdeval(Dn,T2)==0){ + NV=cons(0,NV); NLT=cons(CLT,NLT); + } + if(Cpx>0||Acc){ + X=myfeval(F1,T2);Y=myfeval(F2,T2); + }else{ + X=myfdeval(F1,T2);Y=myfdeval(F2,T2); + } + if((N1==0||length(PV)!=2)&&(X<LX[0]||X>LX[1]||Y<LY[0]||Y>LY[1])){ + NV=cons(0,NV);NLT=cons(T1,NLT); + }else{ + NV=cons([MulX*(X-Orgx),MulY*(Y-Orgy)],NV);NLT=cons(T2,NLT); + } + } + if(length(PV)==2 && N1==-1) break; + F=1; + }else{ + F=0;NV=cons(CV,NV);NLT=cons(CLT,NLT); + } + } + V=reverse(NV);LT=reverse(NLT); + if(G==0) break; + } + if(Gap>0){ + for(NV=[],PV=V;PV!=[];PV=cdr(PV)){ + NV=cons(P0=car(PV),NV); + if(length(PV)>1 && P0!=0 && PV[1]!=0 + && (P0[0]-PV[1][0])^2+(P0[1]-PV[1][1])^2>Gap) NV=cons(0,NV); + } + V=reverse(NV); + } + if((Raw=getopt(raw))==1) return V; + if(Raw==2) return [V,LT]; + OL=[["curve",1]];OLP=[]; + if(type(C=getopt(ratio))==1){ + OL=cons(["ratio",C],OL);OLP=cons(["ratio",C],OLP); + } + if(Acc==1) OL=cons(["Acc",1],OL); + if(N1<0) OL=cons(["close",-1],OL); + if(type(Opt=getopt(opt))!=7 && type(Opt)!=4){ + if(Opt==0) return xylines(V|option_list=cons(["opt",0],OL)); + } + OL=cons(["opt",(Proc)?0:Opt],OL); + if(type(Opt)>=0) OLP=cons(["opt",Opt],OLP); + if(type(Vb=getopt(verb))==1||type(Vb)==4){ + OL=cons(["verb",Vb],OL);OLP=cons(["verb",Vb],OL); + } + if(Proc){ + S=(Proc==1)? + [[0,[MulX*(LX[0]-Orgx),MulX*(LX[1]-Orgx)],[MulY*(LY[0]-Orgy),MulY*(LY[1]-Orgy)], + (TikZ)?1:1/10]]:[]; + S=cons([1,OLP,xylines(V|option_list=OL)],S); + if(Proc==3) return car(S); + }else S=xylines(V|option_list=OL); + if(type(Pt=getopt(pt))==4){ + if(type(Pt[0])!=4) Pt=[Pt]; + if(length(Pt)>1 && type(Pt[1])!=4) Pt=[Pt]; + for(PT=Pt;PT!=[];PT=cdr(PT)){ + PP=car(PT); + if(type(PP[0])!=4) PP=[PP]; + P=car(PP);PP=cdr(PP); + Qx=MulX*(P[0]-Orgx);Qy=MulY*(P[1]-Orgy); + if(length(PP)>0 && type(PP[0])==4){ /* draw line */ + P=car(PP); + Q1x=MulX*(P[0]-Orgx);Q1y=MulY*(P[1]-Orgy); + if(length(PP)<1 || car(PP)==0 || iand(car(PP),1)) + OL=["opt",(TikZ)?"-":"@{-}"]; + else OL=["opt",(TikZ)?".":"@{.}"]; + if(Proc) S=cons([1,OL,[[Qx,Qy],[Q1x,Q1y]]],S); + else S=S+xylines([[Qx,Qy],[Q1x,Q1y]]|optilon_list=OL); + continue; + } + if(length(PP)==0 || type(car(PP))!=7) SS="$\\bullet$"; + else SS=car(PP); + if(length(PP)<=1){ + if(Proc) S=cons([2,[],[Qx,Qy],[SS]],S); + else S=S+xyput([Qx,Qy,SS]); + }else{ + if(Proc) S=cons([2,[],[Qx,Qy],[[SS],"",PP[1]]],S); + S=S+xyput([Qx,Qy,SS,"",PP[1]]); + } + } + } + if(type(Ax=getopt(ax))==4){ /* draw axis */ + Adx0=Ady0=0; Adx1=Ady1=0.1; + if(!TikZ){ + if(!XYcm) Adx1=Ady1=1; + LOp="@{-}"; LxOp="+!U"; LyOp="+!R"; + }else{ + LOp="-"; LxOp="below"; LyOp="left"; + } + LOp0=LOp1=LOp; + LxOO=(Ax[1]==LY[0])?LxOp:(TikZ)?"below left":"+!UR"; + if(type(AxOp=getopt(axopt))>0){ + if(type(AxOp)==1){ + if(AxOp>0) Adx1=Ady1=AxOp; + else if(AxOp<0){ + Adx1=Ady1=0; Adx0=Ady0=AxOp; + } + }else if(type(AxOp)==4){ + if(type(T=car(AxOp))==4 && length(AxOp)>1){ + if(type(T)==7){ + LxOp=T; LyOp=AxOp[1]; + }else if(type(T)==4){ + Ay0=T[0]; Ay1=T[1]; Ax0=AxOp[1][0]; Ax1=AxOp[1][1]; + if(length(T)>2) LxOp=T[2]; + if(length(AxOp[1])>2) LyOp=AxOp[1][2]; + } + } + if(length(AxOp)>2 && type(AxOp[2])==7) LxOO=AxOp[2]; + if(length(AxOp)>3 && type(AxOp[3])==7) LOp0=AxOp[3]; + if(length(AxOp)>4 && type(AxOp[4])==7) LOp1=AxOp[4]; + } + if(type(AxOp)==7) LOp0=AxOp; + } + if(Ax[0]>=LX[0] && Ax[0]<=LX[1]){ /* draw marks on x-axis */ + if(Proc) S=cons([3,(type(LOp0)>=0)?[["opt",LOp0]]:[], + [MulX*(Ax[0]-Orgx),MulY*(LY[0]-Orgy)],[MulX*(Ax[0]-Orgx),MulY*(LY[1]-Orgy)]],S); + else S=S+xyarrow([MulX*(Ax[0]-Orgx),MulY*(LY[0]-Orgy)], + [MulX*(Ax[0]-Orgx),MulY*(LY[1]-Orgy)]|opt=LOp0); + if(length(Ax)>2){ + D=Ax[2]; + if(type(D)==1 && D>0){ + I0=ceil((LX[0]-Ax[0])/D); I1=floor((LX[1]-Ax[0])/D); + for(DD=[],I=I0; I<=I1; I++){ + if(length(Ax)<5) DD=cons(I*D,DD); + else if(Ax[4]==0) DD=cons([I*D,I*D+Ax[0]],DD); + else if(Ax[4]==1) DD=cons([I*D,I*D],DD); + else if(Ax[4]==2) DD=cons([I*D,I],DD); + } + D=DD; + } + if(type(D)==4){ + for(;D!=[]; D=cdr(D)){ + T=car(D); + if(type(T)==4) T=car(T); + X=MulX*(T+Ax[0]-Orgx); Y=MulY*(Ax[1]-Orgy); + if(T!=0){ + if(Proc) S=cons([3,(type(LOp1)>=0)?[["opt",LOp1]]:[],[X,Y+Ady0],[X,Y+Ady1]],S); + else S=S+xyarrow([X,Y+Ady0],[X,Y+Ady1]|opt=LOp1); + } + if(type(car(D))==4){ + Arg=[(T==0)?LxOO:LxOp,D[0][1]]; + if(Proc) S=cons([2,[],[X,Y+Ady0],[Arg]],S); + else S=S+xyput([X,Y+Ady0,Arg]); + } + } + } + } + } + if(Ax[1]>=LY[0] && Ax[1]<=LY[1]){ /* draw marks on y-axis */ + if(Proc) S=cons([3,[["opt",LOp0]], + [MulX*(LX[0]-Orgx),MulY*(Ax[1]-Orgy)], + [MulX*(LX[1]-Orgx),MulY*(Ax[1]-Orgy)]],S); + else S=S+xyarrow([MulX*(LX[0]-Orgx),MulY*(Ax[1]-Orgy)], + [MulX*(LX[1]-Orgx),MulY*(Ax[1]-Orgy)]|opt=LOp0); + if(length(Ax)>3){ + D=Ax[3]; + if(type(D)==1 && D>0){ + I0=ceil((LY[0]-Ax[1])/D); I1=floor((LY[1]-Ax[0])/D); + for(DD=[],I=I0; I<=I1; I++){ + if(length(Ax)<5) DD=cons(I*D,DD); + else if(I!=0){ + if(Ax[4]==0) DD=cons([I*D,I*D+Ax[1]],DD); + if(Ax[4]==1) DD=cons([I*D,I*D],DD); + if(Ax[4]==2) DD=cons([I*D,I],DD); + } + } + D=DD; + } + if(type(D)==4){ + for(;type(D)==4&&D!=[]; D=cdr(D)){ + T=car(D); + if(type(T)==4) T=car(T); + X=MulX*(Ax[0]-Orgx); Y=MulY*(T+Ax[1]-Orgy); + if(T!=0){ + if(Proc) S=cons([3,(type(LOp0)>=0)?[["opt",LOp1]]:[], + [X+Adx0,Y],[X+Adx1,Y]],S); + else S=S+xyarrow([X+Adx0,Y],[X+Adx1,Y]|opt=LOp1); + } + if(type(car(D))==4){ + if(Proc) S=cons([2,[],[X,Y+Ady0],[[LyOp,D[0][1]]]],S); + else S=S+xyput([X,Y+Ady0,[LyOp,D[0][1]]]); + } + } + } + } + } + } + if(Proc) return reverse(S); + if(getopt(dviout)!=1) return S; + xyproc(S|dviout=1); +} + +def xyarrow(P,Q) +{ + Cmd = ["fill","filldaw","shade","shadedraw","clip ","pattern","path ","node","coordinate"]; + if(type(P)<4) return "%\n"; + SS=getopt(opt); + if(!TikZ){ + if(type(Q)<4) return ""; + S="{"+xypos(P)+" \\ar"; + if(type(SS)==7) S=S+SS; + return S+" "+xypos(Q)+"};\n"; + } + if(type(SS)==4 && length(SS)>1){ + if(length(SS)>2) SU=SS[2]; + ST=SS[1]; + SS=SS[0]; + } + if(type(SS)!=7) SS="->"; + if(type(ST)!=7) ST=" -- "; + if(type(SU)!=7) SU=""; + if(type(S=getopt(cmd))==7) S="\\"+S; + else S="\\draw"; + if(type(Q)!=4){ + if(Q>0 && Q<=length(Cmd)) S="\\"+Cmd[Q-1]+""; + if(SS!="-") S=S+"["+SS+"]"; + if(SU!="") SU="["+SU+"]"; + return S+xypos(P)+ST+SU+";\n"; + } + if(SS!="-"&&SS!="") S=S+"["+SS+"]"; + if(length(P)<3 && length(Q)<3) + return S+xypos(P)+ST+xypos(Q)+SU+";\n"; + if(length(P)==2) P=[P[0],P[1],"","_0"]; + else if(length(P)==3 || (length(P)==4 && P[3]=="")) + P=[P[0],P[1],P[2],"_0"]; + else if(P[3]=="") + P=[P[0],P[1],P[2],"_0",P[4]]; + if(length(Q)==2) Q=[Q[0],Q[1],"","_1"]; + else if(length(Q)==3 || (length(Q)==4 && Q[3]=="")) + Q=[Q[0],Q[1],Q[2],"_1"]; + else if(Q[3]=="") + Q=[Q[0],Q[1],Q[2],"_1",Q[4]]; + return S+xypos(P)+" "+xypos(Q)+"("+P[3]+")"+ST+"("+Q[3]+")"+SU+";\n"; +} + +def xyarrows(P,Q,R) +{ + PQ=newvect(4); + PQ[0]=(type(P[0])!=4)?f2df(P[0]):P[0]; + PQ[1]=(type(P[1])!=4)?f2df(P[1]):P[1]; + PQ[2]=(type(Q[0])!=4)?f2df(Q[0]):Q[0]; + PQ[3]=(type(Q[1])!=4)?f2df(Q[1]):Q[1]; + if(type(R[0])!=4) R=[R]; + TR=R[0];NX=TR[2];X=X0=TR[0];DX=(TR[1]-TR[0])/NX; + if(length(R)==2){ + TR=R[1];NY=TR[2];Y=TR[0];DY=(TR[1]-TR[0])/NY; + }else{ + NY=1;Y=DY=0; + } + if(type(L=getopt(abs))!=1) L=0; + if(type(Sc=getopt(scale))!=1) Sc=0; + OL=[]; + if(type(Opt=getopt(opt))==7) OL=cons(["opt",Opt],OL); + Tb=str_tb(0,0); + for(J=0;J<NY;Y+=DY,J++){ + for(I=0,X=X0;I<NX;I++,X+=DX){ + PX=myf2eval(PQ[0],X,Y);PY=myf2eval(PQ[1],X,Y); + VX=myf2eval(PQ[2],X,Y);VY=myf2eval(PQ[3],X,Y); + if(L>0){ + C=dnorm([VX,VY]); + if(C!=0){ + VX*=L/C;VY*=L/C; + } + } + if(Sc){ + VX*=Sc;VY*=Sc; + } + if(VX||VY) str_tb(xyarrow([PX,PY],[PX+VX,PY+VY]|optilon_list=OL),Tb); + } + } + return str_tb(0,Tb); +} + +def polroots(L,V) +{ + INIT=1; + if(type(CF=getopt(comp))!=1) CF=0; + OL=getopt(); + if(CF>32){ + CF-=64; + INIT=0; + }else OL=cons(["comp",CF+64],delopt(OL,"comp")); + if(type(V)==4&&length(V)==1){ + L=L[0];V=V[0]; + } + Lim=Lim2=[]; + if(type(L)<4){ + if(type(Lim=getopt(lim))==4){ + if(type(Lim[0])!=4){ + if(!isvar(Lim[0])) Lim=cons(V,[Lim]); + Lim=[Lim]; + } + if(!isvar(Lim[0][0])) Lim=[cons(V,Lim)]; + Lim=delopt(Lim,V|inv=1); + if(Lim!=[]){ + Lim=Lim[0]; + if(length(Lim)==3) Lim2=Lim[2]; + Lim=Lim[1]; + } + }else{ + Lim=Lim2=[]; + } + if((CF==-2||CF==-1||CF==2)&&iscoef(L,os_md.israt)){ /* Rat+Comp, Rat+Real or Rat */ + S=(CF==-1)?getroot(L,V|cpx=1):getroot(L,V); + for(RR=[],F=x;S!=[];S=cdr(S)){ + if(findin(V,vars(C=car(S)))<0){ /* Rational solution */ + if(type(C)<2){ + if(Lim!=[]&&(real(C)<Lim[0]||real(C)>Lim[1])) continue; + if(Lim2!=[]&&(imag(C)<Lim2[0]||imag(C)>Lim2[1])) continue; + } + if(F!=C) RR=cons(F=C,RR); + }else if(CF<0){ /* Irrational solution */ + if((R=pari(roots,mysubst(C,[V,x])))!=0){ + for(R=vtol(R);R!=[];R=cdr(R)) + if((C=car(R))!=F && ntype(C)<CF+6){ + if(Lim!=[]&&(real(C)<Lim[0]||real(C)>Lim[1])) continue; + if(Lim2!=[]&&(imag(C)<Lim2[0]||imag(C)>Lim2[1])) continue; + RR=cons(F=C,RR); + } + } + } + } + return qsort(RR); + } + R=pari(roots,subst(L,V,x)); + if(R==0){ + R=[0]; + if(CF==1){ + for(R=[0],I=mydeg(L,V);I>1; I--) + R=cons(0,R); + } + return R; + } + if(CF==1){ /* Complex */ + if(Lim==[]&&Lim2==[]) return vtol(R); + for(L=[],I=length(R)-1;I>=0;I--){ + C=R[I]; + if(Lim!=[]&&(real(C)<Lim[0]||real(C)>Lim[1])) continue; + if(Lim2!=[]&&(imag(C)<Lim2[0]||imag(C)>Lim2[1])) continue; + L=cons(C,L); + } + return L; + } + for(L=[],F=x,I=length(R)-1;I>=0;I--){ /* Real */ + if(ntype(R[I])<4 && F!=R[I]){ + if(Lim!=[] && (R[I]<Lim[0]||R[I]>Lim[1])) continue; + L=cons(F=R[I],L); + } + } + return qsort(L); + } + if(SS==0&&INIT==1){ + SS=polroots(L,V|option_list=OL); + if(SS!=0) return SS; + for(C=0;SS==0&&C<5;C++){ + I=(C==0)?1:(iand(random(),0xff)-0x80); + for(LL=[],K=length(L)-1;K>=0;K--){ + for(Q=0,J=length(L)-1;J>=0;J--) + Q+=L[J]*(I+K)^J; + LL=cons(Q,LL); + } + SS=polroots(LL,V|option_list=OL); + if(SS!=0) return SS; + } + return SS; + } + C=2^(-32); + if(type(getopt(err))==1) C=err; + if((N=length(V))!=length(L)) return []; + if(N==1) return polroots(L[0],V[0]|option_list=OL); + for(L1=[],I=1;I<N;I++){ + Res=res(V[0],L[I-1],L[I]); + if(type(Res)<2) return Res; + L1=cons(res(V[0],L[I-1],L[I]),L1); + } + R=polroots(L1,V1=cdr(V)|option_list=OL); + if(type(R)<2) return R; + for(SS=[];R!=[];R=cdr(R)){ + RS=(N==2)?[car(R)]:car(R); + for(I=0,L0=L[0];I<N-1;I++) L0=mysubst(L0,[V1[I],RS[I]]); + if(L0==0) return 0; + S0=polroots(L0,V[0]|option_list=OL); + if(type(S0)<2) return S0; + for(S=S0;S!=[];S=cdr(S)){ + S0=cons(car(S),RS); + for(LT=cdr(L);LT!=[];LT=cdr(LT)){ + for(I=0,TV=car(LT);I<N;I++) TV=mysubst(TV,[V[I],S0[I]]); + if(abs(TV)>C) break; + } + if(LT==[]) SS=cons(S0,SS); + } + } + return reverse(SS); +} + +def ptcommon(X,Y) +{ + if(length(X)!=2 || length(Y)!=2) return 0; + if(type(X[1])==4){ /* X is a line */ + if((In=getopt(in))==-1||In==-2||In==-3){ + X0=(X[0][0]+X[1][0])/2;X1=(X[0][1]+X[1][1])/2; + X=[[X0,X1],[X0+X[1][1]-X[0][1],X1-X[1][0]+X[0][0]]]; + if(In==-1&&type(Y[1])==4) return ptcommon(Y,X|in=-2); + /* for the second line */ + if(In==-3) In=1; + else In=0; + }else if(In==2||In==3){ + X=(X[1][0]-X[0][0])+(X[1][1]-X[0][1])*@i; + if(X==0) return 0; + Y=(Y[1][0]-Y[0][0])+(Y[1][1]-Y[0][1])*@i; + X=myarg(Y/X); + return (In==2)?X:(X*180/deval(@pi)); + }else if(In!=1) In=0; + if(type(Y[0])<=3){ + if(In==1){ + return [(Y[1]*X[0][0]+Y[0]*X[1][0])/(Y[0]+Y[1]), + (Y[1]*X[0][1]+Y[0]*X[1][1])/(Y[0]+Y[1])]; + } + XX=X[1][0]-X[0][0];YY=X[1][1]-X[0][1]; + Arg=(length(Y)<2)?0:Y[1]; + Arg=deval(Arg); + if(Arg!=0){ + S=dcos(Arg)*XX-dsin(Arg)*YY; + YY=dsin(Arg)*XX+dcos(Arg)*YY; + XX=S; + } + S=dnorm([XX,YY]); + if(S!=0){ + XX*=Y[0]/S;YY*=Y[0]/S; + } + return [X[1][0]+XX,X[1][1]+YY]; + } + S=[X[0][0]+(X[1][0]-X[0][0])*x_,X[0][1]+(X[1][1]-X[0][1])*x_]; + if(type(Y[1])==4){ /* Y is a line */ + T=[Y[0][0]+(Y[1][0]-Y[0][0])*y_-S[0], + Y[0][1]+(Y[1][1]-Y[0][1])*y_-S[1]]; + R=lsol(T,[x_,y_]); + if(type(R[0])==4&&type(R[1])==4&&R[0][0]==x_&&R[1][0]==y_){ + if(!In || (R[0][1]>=0&&R[0][1]<=1&&R[1][1]>=0&&R[1][1]<=1) ) + return subst(S,x_,R[0][1],y_,R[1][1]); + } + if((type(R[0])>0&&type(R[0])<4)||(type(R[1])>0&&type(R[1])<4)) return 0; + if(!In) return 1; + I=(X[0][0]==X[1][0]&&Y[0][0]==Y[1][0]&&X[0][0]==Y[0][0])?1:0; + if(X[0][I]<=X[1][I]){ + X0=X[0][I];X1=X[1][I]; + }else{ + X1=X[0][I];X0=X[1][I]; + } + return ((Y[0][I]<X0 && Y[1][I]<X0)||(Y[0][I]>X1&&Y[1][I]>X1))?0:1; + }else if(Y[1]==0){ /* orth */ + T=[Y[0][0]+(X[1][1]-X[0][1])*y_-S[0], + Y[0][1]-(X[1][0]-X[0][0])*y_-S[1]]; + R=lsol(T,[x_,y_]); + if(type(R[0])==4&&type(R[1])==4&&R[0][0]==x_&&R[1][0]==y_){ + if(!In||(R[0][1]>=0&&R[0][1]<=1)) + return subst(S,x_,R[0][1],y_,R[1][1]); + } + return (X[0]==X[1])?0:1; + }else if(type(Y[1])==1 && Y[1]>0){ /* circle */ + T=(S[0]-Y[0][0])^2+(S[1]-Y[0][1])^2-Y[1]^2; + D=mycoef(T,1,x_)^2-4*mycoef(T,0,x_)*mycoef(T,2,x_); + if(D==0){ + V=mycoef(T,1,x_)/(2*mycoef(T,2,x_)); + if(!in||(V>=0&&V<=1)) return [subst(S,x_,V)]; + } + else if((type(D)==1&&D>0)){ + D=dsqrt(D); + V=-(mycoef(T,1,x_)+D)/(2*mycoef(T,2,x_)); + if(!In||(V>=0&&V<=1)) L=[subst(S,x_,V)]; + else L=[]; + V=(D-mycoef(T,1,x_))/(2*mycoef(T,2,x_)); + if(!In||(V>=0&&V<=1)) L=cons(subst(S,x_,V),L); + if(length(L)>0) return L; + } + } + return 0; + } + if(type(Y[1])==4 || X[1]==0) return ptcommon(Y,X); + /* X is a circle */ + if(Y[1]==0){ /* tangent line */ + if(Y[0][0]==X[0][0]+X[1] || Y[0][0]==X[0][0]-X[1]) L=[[Y[0][0],X[0][1]]]; + else L=[]; + P=(Y[0][0]+x_-X[0][0])^2+(Y[0][1]+x_*y_-X[0][1])^2-X[1]^2; + Q=mycoef(P,1,x_)^2-4*mycoef(P,2,x_)*mycoef(P,0,x_); + for(R=polroots(Q,y_);R!=[];R=cdr(R)){ + X0=-subst(mycoef(P,1,x_)/(2*mycoef(P,2,x_)),y_,car(R)); + L=cons([Y[0][0]+X0,Y[0][1]+car(R)*X0],L); + } + }else{ /* Y is a circle */ + P=(x_-X[0][0])^2+(y_-X[0][1])^2-X[1]^2; + Q=(x_-Y[0][0])^2+(y_-Y[0][1])^2-Y[1]^2; + V=(X[0][0]!=Y[0][0])?[x_,y_]:[y_,x_]; + R=subst(P,V[0],T=lsol(P-Q,V[0])); + if(type(T[0])<4) return (T[0]==0)?1:0; + S=polroots(R,V[1]); + for(L=[];S!=[];S=cdr(S)){ + R=subst(T,V[1],car(S)); + if(V[0]==x_) L=cons([R,car(S)],L); + else L=cons([S,R],L); + } + } + if(length(L)!=0) return L; + return 0; +} + +def tobezier(L) +{ + if((Div=getopt(div))==1||Div==2){ + if(length(L)!=4) return [tobezier(L|inv=[0,1/2]),tobezier(L|inv=[1/2,1])]; + if(type(L)==4) L=ltov(L); + if(type(L[0])==4) + L=[ltov(L[0]),ltov(L[1]),ltov(L[2]),ltov(L[3])]; + S=[(L[0]+3*L[1]+3*L[2]+L[3])/8]; + T=[L[3]]; + S=cons((L[0]+2*L[1]+L[2])/4,S); + T=cons((L[2]+L[3])/2,T); + S=cons((L[0]+L[1])/2,S); + T=cons((L[1]+2*L[2]+L[3])/4,T); + S=cons(L[0],S); + T=cons((L[0]+3*L[1]+3*L[2]+L[3])/8,T); + return [S,T]; + } + if(Div>2&&Div<257){ + L=tobezier(L); + for(R=[],I=Div-1;I>=0;I--) + R=cons(tobezier(L|inv=[I/Div,(I+1)/Div]),R); + return R; + } + if((V=getopt(inv))==1 || type(V)>3){ + if(type(L[0])>3 && type(V)>3) L=tobezier(L); + if(type(V)>3 && length(V)>2) V2=V[2]; + if(type(V2)!=2) V2=t; + if(type(V)>3) L=subst(L,V2,(V[1]-V[0])*V2+V[0]); + N=mydeg(L,V2); + for(R=[],I=0;I<=N;I++){ + RT=mycoef(L,I,V2); + R=cons(RT/binom(N,I),R); + L-=RT*V2^I*(1-V2)^(N-I); + } + return reverse(R); + }; + N=length(L)-1; + V=newvect(2); + for(I=0;I<=N;I++,L=cdr(L)){ + if(type(X=car(L))==4) X=ltov(X); + V+=X*binom(N,I)*t^I*(1-t)^(N-I); + } + return V; +} + +def cutf(F,X,VV) +{ + if(type(car(V=VV))==2){ + Y=[car(V),X]; + V=cdr(V); + }else Y=X; + if(type(X)>1){ + Y=(type(Y)==4)?Y[0]:x; + V1=makenewv(F); + if(X==Y||Y==x){ + V2=makenewv([F,V1]); + F=mysubst(F,[Y,V2]); + V=cons(V2,V); + } + return [V1,[V1,os_md.cutf,[F],X,[V]]]; + } + if(car(V)!=[] && X<car(V)[0]) return myfeval(car(V)[1],Y); + for(V=cdr(V); ;V=R){ + if((R=cdr(V))==[]){ + if(car(V)!=[] && car(V)[0]<X) return myfeval(car(V)[1],Y); + return myfeval(F,Y); + } + if(car(V)==[]||X>car(V)[0]) continue; + if(X==car(V)[0]) return car(V)[1]; + return myfeval(F,Y); + } +} + +def fsum(F,L) +{ + if(getopt(df)==1){ + F=f2df(F); + }else Sub=getopt(subst); + if(type(L[0])==2){ + X=L[0]; + L=cdr(L); + }else X=0; + V=(length(L)>2)?L[2]:1; + for(R=0,I=L[0];;I+=V){ + if(V==0||(I-L[1])*V>0) return R; + R+=(Sub==1)?subst(F,X?X:x,I):os_md.myfeval(F,X?[X,I]:I); + } +} + +def periodicf(F,L,X) +{ + if(type(L)==4) L=[eval(L[0]),eval(L[1])]; + else L=eval(L); + if(isvar(X)){ + Y=makenewv([X,F]); + Z=makenewv([X,Y,F]); + return [Z,[Z,os_md.periodicf,[mysubst(F,[x,Y])],(type(L)==4)?[L]:L,[[Y,X]]]]; + } + if(type(X)==4){ + V=X[0]; + X=X[1]; + }else V=x; + if(type(F)==5){ + X=eval(X); + return myfeval(F[floor(X/L)%length(F)],[V,X-floor(X/L)*L]); + } + if(type(L)==4){ + X-=floor((X-L[0])/(L[1]-L[0]))*(L[1]-L[0]); + return myfeval(F,[V,X]); + } +} + +def cmpf(X) +{ + if(type(X)>3){ + if(type(L)==7) return [S_Fc,Dx,S_Ic,S_Ec,S_EC,S_Lc]; + S_Lc=0; + if(type(S_Fc=X[0])!=4) S_Fc=f2df(S_Fc); + S_Ic=X[1]; + if(length(S_Ic)>2){ + S_Fc=mysubst(S_Fc,[S_Ic[0],x]); + S_Ic=cdr(S_Ic); + } + S_Dc=(type(S_Ic[0])==7)?1:0; + if(type(S_Ic[1])==7) S_Dc=ior(S_Dc,2); + if(type(S_Ec=getopt(exp))!=1) S_Ec=0; + if(S_Ec<=0){ + S_EC=-S_Ec; + if(S_EC==0) S_EC=1; + if(S_Dc==3) S_EC*=2; + else S_EC/=4; + if(type(F=X[0])==3&&vars(F)==[x]&&(D=deg(nm(F),x))==deg(dn(F),x)-2){ + S_Lc=S_EC*coef(nm(F),D,x)/coef(dn(F),D+2,x); + } + }else{ + S_EC=S_Ec; + if(S_Dc==3) S_EC*=12; + else S_EC/=6; + } + if(type(S_Fc)==3) S_Fc=red(S_Fc); + S_EC=1/S_EC; + return [z_,[z_,os_md.cmpf,x]]; + } + if(X<=0 && iand(S_Dc,1)) return S_Lc; + if(X>=1 && iand(S_Dc,2)) return S_Lc; + if(S_Dc==3){ + if(S_Ec>0){ + Y0=dexp(1/X)*S_EC; + Y1=dexp(1/(1-X))*S_EC; + return myfeval(S_Fc,Y1-Y0)*(Y0/X^2+Y1/(1-X)^2); + } + return myfeval(S_Fc,S_EC/(1-X)-S_EC/X)*(S_EC/(1-X)^2+S_EC/X^2); + } + if(S_Dc==1){ + if(S_Ec>0){ + Y=dexp(1-1/X); + R=myfeval(S_Fc,S_EC*(Y-1)+I[1])*Y; + } + else R=myfeval(S_Fc,I[1]+(1-1/X)*S_EC); + return R*S_EC/X^2; + } + if(S_Dc==2){ + if(S_Ec>0){ + Y=dexp(X/(1-X)); + R=myfeval(S_Fc,S_EC*(Y-1)+S_Ic[0])*Y; + }else R=myfeval(S_Fc,S_EC*X/(1-X)+S_Ic[0]); + return R*S_EC/(1-X)^2; + } + X=S_Ic[0]+(S_Ic[1]-S_Ic[0])*X; + return myfeval(S_Fc,X)/(S_Ic[1]-Ic[0]); +} + +def fresidue(P,Q) +{ + if(iscoef(Q,os_md.israt)) S=fctr(Q); + else S=[[Q,1]]; + for(R=[];S!=[];S=cdr(S)){ + T=car(S); + if((D=mydeg(T[0],z))==0) continue; + L=[]; + if(iscoef(T[0],os_md.iscrat)) L=getroot(T[0],z|cpx=2); + if(findin(z,vars(L))>=0) L=[]; + if(L==[]) L=polroots(T[0],z|comp=-1); + for(;L!=[];L=cdr(L)){ + QQ=Q; + for(I=T[1]; I>1;I--) QQ=mydiff(QQ,z); + for(U=0,W=I=T[1];I>0;I--,W++){ + QQ=diff(QQ,z); + U+=subst(QQ,z,L[0])*(z-L[0])^(W-T[1])/fac(W); + } + UD=mydiff(U,z); + for(I=T[1],K=1,PP=P; I>1;I--,K++) + PP=diff(PP,z)*U-K*PP*UD; + QQ=subst(PP,z,L[0])/subst(U,z,L[0])^K; +/* if(D==2) QQ=sqrt2rat(QQ); */ + R=cons([L[0],sqrt2rat(QQ)],R); + } + } + if(type(L=getopt(cond))==4){ + for(S=[];R!=[];R=cdr(R)){ + Z=car(R); + for(LL=L;LL!=[];LL=cdr(LL)){ + X=real(car(Z));Y=imag(car(Z)); + if(myf3eval(car(LL),X,Y,car(Z))<=0) break; + } + if(LL==[]) S=cons(Z,S); + } + R=reverse(S); + } + if((Sum=getopt(sum))==1||Sum==2){ + for(S=0;R!=[];R=cdr(R)) S+=car(R)[1]; + if(Sum==2) S*=2*@pi*@i; + return sqrt2rat(S); + } + return R; +} + +def fint(F,D,V) +{ + if(((L=length(V))==2 || (L==3&&isvar(V[0])<3)) + && (type(V[L-1])==7||(type(V[L-1])<3&&type(eval(V[L-1]))<2))) + /* real integral */ + return areabezier([F,D,V]|option_list=getopt()); + /* complex integral */ + if(L>1&&type(V[1])==4&&type(V[1][1])<4){ + if(type(V[0])==4&&type(V[0][0])<2){ + for(R=[],VT=car(V),VV=cdr(V);VV!=[];VV=cdr(VV),VT=VU){ + if((VU=car(VV))==-1) VU=car(V); + R=cons([ptcommon([VT,VU],[t,1-t]|in=1),[0,1]],R); + } + V=reverse(R); + } + else if(L==2) V=[V]; + } + Opt=cons(["cpx",1],getopt()); + for(R=0;V!=[];V=cdr(V)){ + VT=car(V); + X=car(VT)[0];XD=red(diff(X,t)); + Y=car(VT)[1];YD=red(diff(Y,t)); + F=mysubst(F,[[x,X],[y,Y],[z,X+@i*Y]]); + if(type(F)==4) + FF=cons(F[0]*(XD+@i*YD),cdr(F)); + else FF=red(F*(XD+@i*YD)); + R+=areabezier([FF,D,cons(t,VT[1])]|option_list=Opt); + } + return R; +} + +def areabezier(V) +{ + if(getopt(cpx)==1){ + Opt=delopt(getopt(),"cpx"); + F=V[0]; + if(!isvar(Var=V[2][0])) Var=x; + if(type(F)==3 && vars(F)==[Var] && imag(dn(F))!=0){ + F=(nm(F)*conj(dn(F)))/(dn(F)*conj(dn(F))); + V0=red(real(nm(F))/dn(F)); + R=areabezier([V0,V[1],V[2]]|option_list=Opt); + V0=red(imag(nm(F))/dn(F)); + return R+@i*areabezier([V0,V[1],V[2]]|option_list=Opt); + } + if(getopt(Acc)!=1) F=f2df(F); + V0=compdf([o,[o,real,o_]],o_,F); + R=areabezier([V0,V[1],V[2]]|option_list=Opt); + V0=compdf([o,[o,imag,o_]],o_,F); + return R+@i*areabezier([V0,V[1],V[2]]|option_list=Opt); + } + if(type(V[0])!=4 || vars(V[0][0])!=0){ + Mx=[-2.0^(512),2.0^(512)]; + I=length(V[2]); + if(type(V[2][I-1])==7||type(V[2][I-2])==7){ /* infinite interval */ + if(type(Ec=getopt(exp))==1) R=cmpf([V[0],V[2]]|exp=Ec); + else R=cmpf([V[0],V[2]]); + V=[R,V[1],[0,1]]; + } + if(type((Int=getopt(int)))==1 && type(V[0])<4 && (V1=V[1])>=0){ + if(Int==2&&iand(V1,1)) V1++; + if(!V1) V1=32; + Opt=cons(["raw",1],getopt()); + W=xygraph(V[0],V[1],V[2],Mx,Mx|option_list=Opt); + SS=W[0][1]; + for(S0=S1=0,I=0,L=W;L!=[] && I<=V1;I++, L=cdr(L)){ + if(iand(I,1)) S1+=car(L)[1]; + else S0+=car(L)[1]; + if (I==V1) SS+=car(L)[1]; + } + VV=deval(V[2][1]-V[2][0]); + if(Int==2) + return (2*S0+4*S1-SS)*VV/(3*V1); + else + return (2*S0+2*S1-SS)*VV/(2*V1); + } + Opt=cons(["opt",0],getopt()); + V=xygraph(V[0],V[1],V[2],Mx,Mx|option_list=Opt); + } + if(type(V[0][0])!=4) V=os_md.lbezier(V); + for(S=0; V!=[]; V=cdr(V)){ + B=tobezier(car(V)); + P=intpoly(B[1]*diff(B[0],t),t); + S+=mysubst(P,[t,1]); + } + return S; +} + +def velbezier(V,L) +{ + if(L==0) L=[t,0,1]; + else L=[(length(L)==3)?L[2]:t,L[0],L[1]]; + for(R=[],II=length(V)-1;II>=0;II--){ + S=fmmx(diff(V[II],L[0]|dif=1),L|dif=1); + for(U=0;S!=[];S=cdr(S)) if((T=abs(car(S)[1]))>U) U=T; + R=cons(U,R); + } + return R; +} + +def ptbezier(V,L) +{ + if(type(V[0])==4&&type(V[0][0])!=4) V=lbezier(V); + K=length(V); + if(type(L)<2){ + if(L<0) return K; + if(L>=K-1) L=[K-1,1]; + else{ + L0=floor(L); + if(L0>=K-1) L0=K-1; + L=[L0,L-L0]; + } + } + if(L[0]>=0) B=V[L[0]]; + else B=V[K+L[0]]; + B=tobezier(B); + BB=[diff(B[0],t),diff(B[1],t)]; + return [subst(B,t,L[1]),subst(BB,t,L[1])]; +} + +def ptcombezier(P,Q,T) +{ + if(type(T)<2){ + if(T<2) T=20; /* default */ + return ptcombezier(P,Q,[0,0,1,T]); + } + V=T[2]/2;; + PB=tobezier(P|div=1); + PP=[ptbbox(PB[0]),ptbbox(PB[1])]; + QB=tobezier(Q|div=1); + QQ=[ptbbox(QB[0]),ptbbox(QB[1])]; + for(L=[],I=0;I<2;I++){ + for(J=0;J<2;J++){ + if(!iscombox(PP[I],QQ[J])) continue; + if(T[3]<=1) return + [[T[0]+(I+0.5)*V,T[1]+(J+0.5)*V, + [(PP[I][0][0]+PP[I][0][1])/2,(PP[I][1][0]+PP[I][1][1])/2]]]; + else{ +#if 0 + U=PB[I][0];V=PB[I][length(PB[I])-1]; + if(abs(A=(U[0]-V[0]))>abs(B=(U[1]-V[I]))) + M=mat([1,0],[-B/A,1]); + else if(U!=V) + M=mat([1,-A/B],[0,1]); + else continue; + if(!iscombox(ptbox(ptaffine(M,PB[I])),ptbox(ptaffine(M,QB[J])))) continue; +#endif + + LN=ptcombezier(PB[I],QB[J],[T[0]+I*V,T[1]+J*V,V,T[3]-1]); +#if 0 + L=append(LN,L); +#else + if(LN!=[]){ + if(L==[]) L=LN; + else for(VV=3*V/2^T[3];LN!=[];LN=cdr(LN)){ + for(LT=L;LT!=[];LT=cdr(LT)){ + if(abs(car(LN)[0]-car(LT)[0])<VV&&abs(car(LN)[1]-car(LT)[1])<VV) break; + } + } + } + if(length(L)>32){ /* Too many points */ + I=J=2; + } +#endif + } + } + } + return L; +} + + +def ptcombz(P,Q,T) +{ + if(P==Q) Q=0; + if(type(P[0][0])!=4) P=P0=lbezier(P); + if(Q==0){ + Q=P;F=1; + } + else if(type(Q[0][0])!=4) Q=lbezier(Q); + for(R=[],I=0,Q0=Q;P!=[];P=cdr(P),I++){ + for(J=0,Q=Q0;Q!=[];Q=cdr(Q),J++){ + if(F==1&&I<J+2) break; + if((RT=ptcombezier(car(P),car(Q),T))!=[]){ + RT=cons([I,J],RT); + R=cons(RT,R); + } + } + } + if((Red=getopt(red))==1||Red==2){ + if(type(M=getopt(prec))!=1) M=12; + for(F=0,T=P0;T!=[];T=cdr(T)){ + for(S=car(T);S!=[];S=cdr(S)){ + if(type(ST=car(S))==4 && type(ST[0])<2){ + if(F++==0){ + X0=X1=ST[0];Y0=Y1=ST[1]; + }else{ + if(ST[0]<X0) X0=ST[0]; + if(ST[0]>X1) X1=ST[0]; + if(ST[1]<Y0) Y0=ST[1]; + if(ST[1]>Y1) Y1=ST[1]; + } + } + } + } + V0=(X1-X0)/2^M;V1=(Y1-Y2)/2^M; + for(RR=[],RT=R;RT!=[];RT=cdr(RT)) + for(S=cdr(car(RT));S!=[];S=cdr(S)) RR=cons(car(S)[2],RR); + RR=ltov(RR);L=length(RR); + for(I=0;I<L;I++) + for(K=1,J=I+1;K!=0&&J<L;J++) + if(abs(RR[I][0]-RR[J][0])<V0 && abs(RR[I][1]-RR[J][1])<V1) RR[I]=K=0; + R0=[]; + I=L-1; + if(Red==2){ + for(;I>=0;I--) if(RR[I]!=0) R0=cons(RR[I],R0); + }else{ + for(RT=R;RT!=[];RT=cdr(RT)){ + R00=[car(RT)[0]]; + for(S=cdr(car(RT));S!=[];S=cdr(S),I--) + if(RR[L-I-1]!=0) R00=cons(car(S),R00); + if(length(R00)>1) R0=cons(reverse(R00),R0); + } + } + return R0; + } + return reverse(R); +} + +def draw_bezier(ID,IDX,B) +{ + if(getopt(init)==1){ + S_FDot=0; + return; + } + if(type(Col=getopt(col))!=1&&Col!=0) Col=0; + Dot=0; + if(type(Opt=getopt(opt))==7){ + if(!Col){ + Col=drawopt(Opt,0); + if(Col==-1) Col=0; + } + T=drawopt(Opt,3); + if(iand(T,2)){ + M=iand(T,1)?1/8:1/4; + for(C=Col,Col=I=0;I<20;I+=8) + Col+=ishift(0xff-(floor((0xff-iand(0xff,ishift(C,I)))*M)),-I); + } + if(iand(T,4)) Dot=2; /* 2 or 3 or 4 or 6 */ + else if(iand(T,8)) Dot=4; + } + if(type(B)==4 && (type(B[0])==4||type(B[0])==5) && type(B[0][0])<2) B=lbezier(B); + else if(type(B)==5) B=[vtol(B)]; + for(;B!=[];B=cdr(B)){ + if(vars(F=car(B))==[]){ +#if 1 + if(length(F)<3&&!Dot){ /* line or point */ + if(length(F)>0){ + G=[rint(F[0][0]),rint(F[0][1])]; + if(length(F)==1) draw_obj(ID,IDX,G,Col); + else{ + G=[G[0],G[1],rint(F[1][0]),rint(F[1][1])]; + draw_obj(ID,IDX,G,Col); + } + } + continue; + } +#endif + if(length(F)<2) continue; + F=tobezier(F); + } + N=velbezier(F,0); + N=(N[0]>N[1])?N[0]:N[1]; + if(!N) N=1; + for(I=0;I<=N;I++,S_FDot++){ + if(Dot!=iand(S_FDot,Dot)) continue; + G=subst(F,t,I/N); + G=[rint(G[0]),rint(G[1])]; + if(G!=G0){ + draw_obj(ID,IDX,G,Col); + G0=G; + } + } + } + if(S_FDot-->=2^32) S_FDot=0; + return 0; +} + +def lbezier(L) +{ + if((In=getopt(inv))==1||In==2||In==3){ + for(F=0,R=[];L!=[];L=cdr(L)){ + LT=car(L); + if(F==car(LT)) R=cons(1,R); + else{ + if(R!=[]&&F!=0) R=cons(0,R); + R=cons(G=car(LT),R); + if(In==3) In==2; + } + for(LT=cdr(LT);LT!=[];LT=cdr(LT)) + R=cons(car(LT),R); + if((F=car(R))==G&&In==1){ + R=cons(-1,cdr(R)); + F=0; + } + } + if(In==3 && car(R)==G) R=cons(-1,cdr(R)); + return reverse(R); + } + for(F=0,RT=R=[];L!=[];L=cdr(L)){ + if(type(T=car(L))==4||type(T)==5){ + if(F==0){ + FT=T;F=1; + } + RT=cons(T,RT); + }else if(T==0){ + if(RT==[]) R=cons(reverse(RT),R); + RT=[];F=0; + }else if(T==1){ + if(RT!=[]){ + R=cons(reverse(RT),R); + RT=[car(RT)]; + }else{ + RT=[];F=0; + } + }else if(T==-1){ + RT=cons(FT,RT); + R=cons(reverse(RT),R); + RT=[];F=0; + } + } + if(RT!=[]) R=cons(reverse(RT),R); + return reverse(R); +} + + +def xybezier(L) +{ + if(L==0 || (LS=length(L))==0) return ""; + Out=str_tb(0,0); + if(type(VF=getopt(verb))==4){ + if(type(car(VF))>3){ + VFS=VF;VF=1; + }else{ + VFS=cdr(VF);VF=car(VF); + } + }else VFS=["$\\bullet$","$\\times$"]; + if(VF!=1 && VF!=2) VF=0; + if(!TikZ){ + if(VF) Ob=str_tb(0,0); + T="\n**\\crv{"; + if(type(Opt=getopt(opt))==7 && Opt!="") T=T+Opt; + L00=Q=L[I0=0];S=S1=""; + for(F=0,I=1;I<=LS;I++){ + P=Q;Q=(I==LS)?0:L[I]; + if(type(Q)==4){ + if(F==0){ + S1="";L0=P;F=1; + continue; + }else if(F==1) + F=2; + else if(F==2){ + S1=S1+"&"; + } + S1=S1+xypos(P); + if(VF&&length(VFS)>1) str_tb(xyput([P[0],P[1],VFS[1]]),Ob); + }else{ + if(Q==0){ + if(F>0){ + str_tb("{"+xypos(L0)+";"+xypos(P)+T+S1+"}};\n",Out); + if(VF){ + str_tb(xyput([L[0][0],L[0][1],VFS[0]]),Ob); + if(VF==1) str_tb(xyput([P[0],P[1],VFS[0]]),Ob); + } + F=0; + } + }else if(Q==1){ + str_tb("{"+xypos(L0)+";"+xypos(P)+T+S1+"}};\n",Out); + if(VF){ + str_tb(xyput([L[0][0],L[0][1],VFS[0]]),Ob); + if(VF==1) str_tb(xyput([P[0],P[1],VFS[0]]),Ob); + } + F=1; + }else if(Q==-1){ + if(F==2) + S1=S1+"&"; + str_tb("{"+xypos(L0)+";"+xypos(L00)+T+S1+xypos(P)+"}};\n",Out); + if(VF) str_tb(xyput([L[0][0],L[0][1],VFS[0]]),Ob); + F=0; + } + if(F==1){ + if(I<LS-1 && type(L[I+1])<2){ + if(L[I+1]==-1){ + str_tb("{"+xypos(P)+";"+xypos(L00)+T+"}};\n",Out); + } + if(VF) str_tb(xyput([P[0][0],P[0][1],VFS[0]]),Ob); + F=0; + } + } + while(++I<LS && type(L[I])<2); + if(I>=LS) break; + if(F==1){ + Q=P;I--;F=0; + }else L00=Q=L[I]; + } + } + }else{ + if(type(T=getopt(cmd))==7){ + if(T!="") T="\\"+T; + }else T="\\draw"; + if((Rel=getopt(relative))==1) VF=0; + if(VF) Ob=str_tb(0,0); + if(type(Opt=getopt(opt))==7 && Opt!="") T=T+"["+Opt+"]"; + Out=str_tb(T,0); + Q=L[0]; + for(F=M=0,I=1;I<=LS;I++){ + P=Q; Q=(I==LS)?0:L[I]; + if(++M>XYLim){ + str_tb("\n",Out);M=1; + } + if(type(Q)==4 || type(Q)==5 || type(Q)==7){ + if(F==0){ + str_tb(" ",Out); + F=1; + }else if(F==1){ + str_tb(" .. controls ",Out); + F=2; + }else if(F==2){ + str_tb(" and ",Out); + F=2; + } + PP=xypos(P); + if(Rel==1 && F==2) PP="+"+PP; + str_tb(PP,Out); + if(VF&&((F<2)||length(VFS)>1)) + str_tb(xyput([P[0],P[1],(F<2)?VFS[0]:VFS[1]]),Ob); + }else{ +/* if(I<LS-1) VF=0; */ + if(Q==0||Q==1){ + PP=xypos(P); + if(Rel==1) PP="+"+PP; + str_tb(((F==0)?" ":((F==1)?" -- ":" .. "))+PP,Out); + if(VF) str_tb(xyput([P[0],P[1],VFS[0]]),Ob); + F=Q; + }else if(Q==-1){ + PP=xypos(P); + if(Rel==1) PP="+"+PP; + if(F==1) + str_tb("..controls "+PP+" .. cycle",Out); + else if(F==2) + str_tb(" and "+PP+" .. cycle",Out); + if(VF&&length(VFS)>1) str_tb(xyput([P[0],P[1],VFS[1]]),Ob); + F=0; + } + if(F==1){ + if(I<LS-1){ + if(L[I+1]==-1){ + str_tb(" -- cycle",Out); + I=I+1; + F=0; + } + else if(type(L[I+1])<2) F=0; + } + } + while(++I<LS && type(L[I])<2); + if(I>=LS) break; + Q=L[I]; + } + } + str_tb(";\n",Out); + } + if(VF) str_tb(str_tb(0,Ob),Out); + return str_tb(0,Out); +} + +def xybox(L) +{ + K=length(L); + P=L[0];Q=L[1]; + if(K==2) + LL=[ P, [P[0],Q[1]], Q, [Q[0],P[1]] ]; + else{ + R=L[2]; + LL=[ P, R, Q, [P[0]+Q[0]-R[0],P[1]+Q[1]-R[1]] ]; + } + Opt=getopt(); + SS=getopt(opt); + FL=getopt(color); + if(TikZ&&type(SS)<1&&K==2){ + if(type(FL)==4){ + F=FL[0]; + if(length(FL)>1) CMD=FL[1]; + }else if(type(FL)==7) F=FL; + else F=""; + F=cons(F,["rectangle"]); + if(CMD) return xyarrow(P,Q|opt=F,cmd=CMD); + else return xyarrow(P,Q|opt=F); + } + if(type(SS)!=7&&!TikZ) Opt=cons(["opt","@{-}"],Opt); + Opt=cons(["close",1],Opt); + return xylines(LL|option_list=Opt); +} + +def xyang(S,P,Q,R) +{ + Opt=getopt(); + if(type(Prec=getopt(prec))!=1) Prec=0; + if(type(Q)>2){ + if(R==1||R==-1){ /* ’¼Šp */ + P1=ptcommon([Q,P],[-S,0]); + S*=R; + P2=ptcommon([P,P1],[S,@pi/2]); + P3=ptcommon([P1,P2],[S,@pi/2]); + return xylines([P1,P2,P3]|option_list=Opt); + }else if((AR=abs(R))==0||AR==2||AR==3||AR==4){ /* –îˆó */ + Ang=myarg([Q[0]-P[0],Q[1]-P[1]]); + if(R<0) Ang+=3.14159; + ANG=[0.7854,0.5236,1.0472]; + X=(AR==0)?1.5708:ANG[AR-2]; + U=[P[0]+S*dcos(Ang+X),P[1]+S*dsin(Ang+X)]; + V=[P[0]+S*dcos(Ang-X),P[1]+S*dsin(Ang-X)]; /* –îæ */ + V=(X==0)?[U,V]:[U,P,V]; + if(getopt(ar)==1) V=append([Q,P,0],V); /* S–_ */ + return xylines(V|option_list=Opt); + }else if(AR>4&&AR<9){ + Ang=myarg([Q[0]-P[0],Q[1]-P[1]]); + ANG=[0.7854,0.5236,0.3927,0.2618]; + X=ANG[AR-5]; + U=[P[0]+S*dcos(Ang+X),P[1]+S*dsin(Ang+X)]; + V=[P[0]+S*dcos(Ang-X),P[1]+S*dsin(Ang-X)]; + W=ptcommon([P,U],[P,Q]|in=-2); + W1=[(U[0]+P[0]+W[0])/3,(U[1]+P[1]+W[1])/3]; + W2=[(V[0]+P[0]+W[0])/3,(V[1]+P[1]+W[1])/3]; + L=[U,W1,P,1,W2,V]; + if(getopt(ar)==1) L=append([Q,P,0],L); + if(type(Sc=getopt(scale))>0){ + if(type(Sc)==1) Sc=[Sc,Sc]; + L=ptaffine(diagm(2,Sc),L); + } + Opt=getopt(opt); + if(type(Opt)>0) OL=[["opt",Opt]]; + else OL=[]; + if(getopt(proc)==1) return append([2,OL],L); + S=xybezier(L|optilon_list=OL); + if(getopt(dviout)!=1) return S; + dviout(S); + return 1; + } + } + if(type(Q)<3){ + X=deval(Q); Y=deval(R); + }else{ + X=myarg([Q[0]-P[0],Q[1]-P[1]]); + Y=myarg([R[0]-P[0],R[1]-P[1]]); + } + if(Prec>2) N=8; + else if(Prec==2) N=6; + else if(Prec==1) N=4; + else N=3; + U=deval(@pi)*2/N; + if(X==Y||Y-X>6.28318){ + for(L=[],I=N-1;I>=0;I--) L=cons([P[0]+S*dcos(I*U),P[1]+S*dsin(I*U)],L); + return xylines(L|option_list=append([["curve",1],["close",1]],Opt)); + } + for(M=1;(Y-X)/M>U;M++); + for(L=[],I=M+1;I>-2;I--){ + Ang=X+(Y-X)*I/M; + L=cons([P[0]+S*dcos(Ang),P[1]+S*dsin(Ang)],L); + } + if(getopt(ar)!=1) return xylines(L|option_list=append([["curve",1],["close",-1]],Opt)); + OL=delopt(Opt,["dviout","opt","proc"]); + S=xylines(L|option_list=append([["curve",1],["close",-1],["opt",0]],OL)); + T=xylines([P,L[1]]|option_list=cons(["opt",0],OL)); + S=ptaffine("close",[S,T]); /* connect curves */ + if(getopt(opt)==0) return S; + OL=(type(SS=getopt(opt))>1)?[["opt",SS]]:[]; + if(type(T=getopt(proc))==1 && T>=1 && T<=3) return [1,OL,S]; + if(OL==[]) S=xybezier(S); + else S=(type(SS)==7)? xybezier(S|opt=SS):xybezier(S|opt=SS[0],cmd=SS[1]); + if(getopt(dviout)==1) return xyproc(S|dviout=1); + return S; +} + +def xyoval(P,L,R) +{ + if(type(Arg=getopt(arg))!=4 && type(Arg=getopt(deg))==4){ + if(length(Arg)>2) + Arg=[@pi*Arg[0]/180,@pi*Arg[1]/180,@pi*Arg[2]/180]; + else + Arg=[@pi*Arg[0]/180,@pi*Arg[1]/180]; + } + if(type(Arg)==4){ + Arg0=deval(Arg[0]); Arg1=deval(Arg[1]); + if(length(Arg)>2) Arg2=deval(Arg[2]); + if(Arg1<Arg0 || Arg0<-7) return 0; + } + if(type(Prec=getopt(prec))!=0) Prec=0; + if((Ar=getopt(ar))!=1) Ar=0; + L=xyang(L,[0,0],Arg0,Arg1|prec=Prec,opt=0,ar=Ar); + Sc=getopt(scale); + if(type(Sc=getopt(scale))<1) Sc=[1,1]; + else if(type(Sc)==1) Sc=[Sc,Sc]; + M=mat([1,0],[0,R]); + L=ptaffine(M,L|shift=P); + M=mat([Sc[0],0],[0,Sc[1]]); + L=ptaffine(M,L|arg=Arg2); + if((Opt=getopt(opt))==0) return L; + Opt=(type(Opt)>1)? [["opt2",Opt]]:[]; + if(getopt(proc)==1) return [1,Opt,L]; + S=xybezier(L|option_list=getopt()); + if(getopt(dviout)==1){ + xyproc(S|dviout=1); + return 1; + } + return S; +} + +def xycirc(P,R) +{ + ST=getopt(opt); + if(type(ST)<0) ST=""; + if(type(Arg=getopt(arg))!=4 && type(Arg=getopt(deg))==4){ + Arg=[@pi*Arg[0]/180,@pi*Arg[1]/180]; + } +/* Is it OK? + if(TikZ==0 && XYcm==1){ + R*=10; P=[P[0]*10,P[1]*10]; + } +*/ + if(type(Arg)==4){ + Arg0=deval(Arg[0]); Arg1=deval(Arg[1]); + if(Arg1<=Arg0 || Arg0<-7 || Arg1-Arg0>7) return 0; + if(type(ST)==7) + S=xygraph([R*cos(x)+P[0],R*sin(x)+P[1]],-4,[Arg0,Arg1],[P[0]-R-1,P[0]+R+1], + [P[1]-R-1,P[1]+R+1]|opt=ST); + else + S=xygraph([R*cos(x)+P[0],R*sin(x)+P[1]],-4,[Arg0,Arg1],[P[0]-R-1,P[0]+R+1], + [P[1]-R-1,P[1]+R+1]); + if(getopt(close)==1){ + S=S+xyline([0,0], + [deval(subst(R*cos(x)+P[0],x,Arg0)),deval(subst(R*sin(x)+P[0],x,Arg0))]); + S=S+xyline([0,0], + [deval(subst(R*cos(x)+P[0],x,Arg1)),deval(subst(R*sin(x)+P[0],x,Arg1))]); + } + return S; + } + if(TikZ){ + SP=""; + if(length(P)>2) SP=P[2]; + if(type(SP)!=7) SP="$"+my_tex_form(SP)+"$"; + if(R==0){ + if(ST!="") ST=ST+","; + return "\\node ["+ST+"circle,draw]"+xypos([P[0],P[1]])+ "{"+SP+"};\n"; + } + if(type(R)!=7) R=rtostr(deval(R)); + if(ST!="") ST="["+ST+"]"; + S="\\draw "+ST+xypos([P[0],P[1]])+" circle [radius="+R+"]"; + if(SP!="") S=S+" node at"+xypos([P[0],P[1]])+" {"+SP+"}"; + return S+";\n"; + } + S="{"+xypos([P[0],P[1]]); + if(length(P)>2){ + SP=P[2]; + if(type(P)!=7) SP=my_tex_form(SP); + S=S+" *+{"+SP+"}"; + } + S =S+" *\\cir"; + if(R!=0){ + R=deval(R); + S=S+"<"+rtostr(R)+((XYcm)?"cm>":"mm>"); + } + S = S+"{"; + if(type(ST)==7) S=S+ST; + return S+"}};\n"; +} + +def ptaffine(M,L) +{ + if(type(L)!=4&&type(L)!=5){ + erno(0);return L; + } + if(type(M)==7){ /* connect lists */ + if(M=="reverse"){ + for(LO=LR=[],F=0,LT=L; LT!=[]; LT=cdr(LT)){ + if(type(P=car(LT))==4 || type(P)==7){ + LR=cons(P,LR); + continue; + }else{ + if(P==-1){ + LL=reverse(LR); + LO=append(reverse(cons(-1,cdr(LL))),LO); + LO=cons(car(LL),LO); + LR=[]; + }else if(P==1){ + LR=cons(car(LR),cons(1,cdr(LR))); + }else if(P==0 || length(LT)==1){ + if(LO!=[] && car(LO)!=0 && (type(car(LO))==4 || car(LO)==1)) + LO=cons(0,LO); + LO=append(LR,LO); + if(length(LT)>1&&length(LO)>0&&car(LO)!=0) LO=cons(0,LO); + LR=[]; + } + } + } + return append(LR,LO); + } + if(type(L[0][0])!=4) L=[L]; + LO=[]; + if(M=="connect" || M=="close" || M=="loop"){ + Top=car(car(L)); + for(K=1,LL=L; LL!=[]; LL=cdr(LL)){ + for(F=0,LT=car(LL); LT!=[]; LT=cdr(LT),F++){ + if((LTT=car(LT))==0) LTT=1; + if(F==0 && LO!=[]){ + LO0=car(LO); + if(car(LO)!=1&&length(LO)>1) LO=cons(1,LO); + if(LTT==LO0) continue; + else LO=cons(1,cons(LTT, LO)); + }else LO=cons(LTT, LO); + } + } + if(M!="connect"){ + if(Top==car(LO) || car(LO)==1 || M=="loop") + LO=cons(-1,cdr(LO)); + else + LO=cons(-1,cons(1,LO)); + } + return reverse(LO); + } + if(M=="union"){ + for(LL=reverse(L); LL!=[]; LL=cdr(LL)){ + if(LO!=[]) LO=cons(0,LO); + LO=append(car(LL),LO); + } + L=LO; + } + return L; + } + if(type(Arg=getopt(deg))==1) + Arg=@pi*Arg/180; + else Arg=getopt(arg); + if(type(Arg)==2) Arg=deval(Arg); + if(type(Arg)==1) + M=M*mat([dcos(Arg),-dsin(Arg)],[dsin(Arg),dcos(Arg)]); + if(type(Sft=getopt(org))==4){ + Sft=ltov(Sft); + Sft-=M*Sft; + }else Sft=ltov([0,0]); + if(type(V=getopt(shift))==4) + Sft+=ltov(V); + if(getopt(proc)==1){ + if(Sft!=0&<ov(Sft)!=[0,0]) Sft=[["shift",vtol(Sft)]]; + else Sft=[]; + for(LO=[],LT=L;LT!=[];LT=cdr(LT)){ + if(type(car(T=car(LT)))<2){ + if((P=car(T))==0){ /* exedraw 0 */ + V=[[T[1][0],T[2][0]],[T[1][0],T[2][1]],[T[1][1],T[2][0]],[T[1][1],T[2][1]]]; + V=ptbbox(ptaffine(M,V|option_list=Sft)); + L1=cdr(cdr(cdr(T))); + LO=cons(append([0,V[0],V[1]],L1),LO); + continue; + }else if(P==1){ /* exedraw 1 */ + L1=[]; + for(TT=cdr(cdr(T));TT!=[];TT=cdr(TT)){ + D=car(TT); + if(type(D[0][0])==4){ + for(L2=[],DT=D;DT!=[];DT=cdr(DT)) + L2=cons(ptaffine(M,car(DT)|option_list=Sft),L2); + L1=cons(reverse(L2),L1); + }else L1=cons(ptaffine(M,D|option_list=Sft),L1); + } + LO=cons(append([1,T[1]],reverse(L1)),LO); + continue; + }else if(P>=2 && P<=5){ + L1=ptaffine(M,cdr(cdr(T))|optilon_list=Sft); + LO=cons(append([P,T[1]],L1),LO); + continue; + } + } + LO=cons(T,LO); + } + return reverse(LO); + } + F=0; + if(type(L)==4){ + for(LT=L; LT!=[]; LT=cdr(LT)){ + if((T=type(car(LT)))==4||T==5){ + F=1; break; + } + } + } + if(F==0) return (Sft==0)?ptaffine(M,[L])[0]:ptaffine(M,[L]|shift=vtol(Sft))[0]; + for(LO=[],LT=L; LT!=[]; LT=cdr(LT)){ + if(((T=type(P=car(LT)))!=4 && T!=5)||type(P[0])>3) LO=cons(P,LO); + else{ + if(T==4) P=ltov(P); + V=M*P; + if(Sft!=0) V+=Sft; + if(T==4) V=vtol(V); + LO=cons(V,LO); + } + } + return reverse(LO); +} + +def ptlattice(M,N,X,Y) +{ + if(type(S=getopt(scale))!=1) S=1; + if(type(Cond=getopt(cond))!=4) Cond=[]; + Line=getopt(line); + if(Line==1 || Line==2) F=newmat(M,N); + else Line=0; + if(type(Org=getopt(org))==4) Org=ltov(Org); + else Org=newvect(length(X)); + X=ltov(X); Y=ltov(Y); + for(L=[],I=M-1;I>=0;I--){ + for(P0=P1=0,J=N-1;J>=0;J--){ + P=Org+I*X+J*Y; + for(C=Cond; C!=[]; C=cdr(C)) + if(subst(car(C),x,P[0],y,P[1])<0) break; + if(C!=[]) continue; + if(Line) F[I][J]=1; + else L=cons(vtol(S*P),L); + } + } + if(Line==0) return L; + for(I=M-1;I>=0;I--){ + for(T0=0,T1=J=N-1;J>=0;J--){ + if((K=F[I][J])!=0){ + if(T0==0) T0=J; + else T1=J; + } + if(K==0 || T1==0){ + if(T1<T0){ + L=cons(vtol(S*(Org+I*X+T0*Y)), L); + L=cons(vtol(S*(Org+I*X+T1*Y)), L); + L=cons(0,L); + } + T0=0; T1=N-1; + } + } + } + for(J=N-1;J>=0;J--){ + for(T0=0,T1=I=M-1;I>=0;I--){ + if((K=F[I][J])!=0){ + if(T0==0) T0=I; + else T1=I; + } + if(K==0 || T1==0){ + if(T1<T0){ + L=cons(vtol(S*(Org+T0*X+J*Y)), L); + L=cons(vtol(S*(Org+T1*X+J*Y)), L); + L=cons(0,L); + } + T0=0; T1=M-1; + } + } + } + return cdr(L); +} + +def ptpolygon(N,R) +{ + if(type(S=getopt(scale))!=1) S=1; + if(type(Org=getopt(org))!=4) Org=[0,0]; + Pi=deval(@pi); + if(type(Arg=getopt(deg))==1) + Arg=Pi*Arg/180; + else Arg=getopt(arg); + if(type(Arg)==2) Arg=deval(Arg); + if(type(Arg)!=1) Arg=0; + Arg -= Pi*(1/2+1/N); + D=Pi*2/N; + for(L=[],I=N-1; I>=0; I--) + L=cons([S*(Org[0]+R*dcos(Arg+I*D)),S*(Org[1]+R*dsin(Arg+I*D))],L); + return L; +} + +def ptwindow(L,X,Y) +{ + if(type(S=getopt(scale))==1){ + X=[S*X[0],S*X[1]]; Y=[S*Y[0],S*Y[1]]; + } + for(R=[],LT=L;LT!=[];LT=cdr(LT)){ + P=car(LT); + if(P[0]<X[0] || P[0]>X[1] || P[1]<Y[0] || P[1]>Y[1]) + R=cons(0,R); + else R=cons(P,R); + } + return reverse(R); +} + +def lninbox(L,W) +{ + if(L[0]==L[1]) return 0; + R=newvect(2);C=newvect(2); + for(J=0;J<2;J++){ + C[J]=L[1][J]-L[0][J]; + if(C[J]!=0){ + R[J]=[(W[J][0]-L[0][J])/C[J],(W[J][1]-L[0][J])/C[J]]; + if(R[J][0]>R[J][1]) R[J]=[R[J][1],R[J][0]]; + } + } + if(R[0]==0) R[0]=R[1]; + if(R[1]==0) R[1]=R[0]; + S0=(R[0][0]<R[1][0])?R[1][0]:R[0][0]; + S1=(R[0][1]<R[1][1])?R[0][1]:R[1][1]; + if(getopt(in)==1){ + if(S0<0) S0=0; + if(S1>1) S1=1; + } + if(S0>S1) return 0; + return [[L[0][0]+C[0]*S0,L[0][1]+C[1]*S0],[L[0][0]+C[0]*S1,L[0][1]+C[1]*S1]]; +} + +def ptbbox(L) +{ + J=length(L[0]); + if((Box=getopt(box))==1){ + for(R=[],I=0;I<J;I++){ + P=car(LT=L)[I][0];Q=car(LT)[I][1]; + for(;LT!=[];LT=cdr(LT)){ + if((type(T=car(LT))==4 || type(T)==5) && length(T)==J){ + if(T[I][0]<P) P=T[I][0]; + if(T[I][1]>Q) Q=T[I][1]; + } + } + R=cons([P,Q],R); + } + }else if(type(Box)==4) return ptbbox([ptbbox(L),Box]|box=1); + else{ + for(R=[],I=0;I<J;I++){ + P=Q=car(LT=L)[I];LT=cdr(LT); + for(;LT!=[];LT=cdr(LT)){ + if((type(T=car(LT))==4||type(T)==5) && type(T[0])<2 && length(T)==J){ + if((V=T[I])<P) P=V; + else if(V>Q) Q=V; + } + } + R=cons([P,Q],R); + } + } + return reverse(R); +} + +def iscombox(S,T) +{ + for(;S!=[];S=cdr(S),T=cdr(T)) + if(car(S)[0]>car(T)[1] || car(S)[1]<car(T)[0]) return 0; + return 1; +} + +def ptcopy(L,V) +{ + if(type(V[0])!=4) V=[V]; + for(F=0,LL=[]; V!=[]; V=cdr(V)){ + if(F) LL=append(LL,[0]); + F++; + LL=append(LL,ptaffine(1,L|shift=car(V))); + } +} + +def average(L) +{ + L=os_md.m2l(L|flat=1); + M0=M1=car(L); + for(I=SS=0, LT=L; LT!=[]; LT=cdr(LT), I++){ + S+=(V=car(LT)); + SS+=V^2; + if(V<M0) M0=V; + else if(V>M1) M1=V; + } + SS=dsqrt(SS/I-S^2/I^2); + S=[deval(S/I),SS,I,M0,M1]; + if(isint(N=getopt(sint))) S=sint(S,N); + return S; +} + +def m2ll(M) +{ + for(R=[],I=size(M)[0]-1; I>=0; I--) + R=cons(vtol(M[I]),R); + return R; +} + +def madjust(M,W) +{ + if(type(Null=getopt(null))<0) Null=0; + if(type(M)==4 && type(M[0])==4){ + M=lv2m(M|null=Null); + return m2ll(madjust(M,W|null=Null)); + } + S=size(M); + if(W<0){ + W=-W; + T0=ceil(S[0]/W); + T1=S[1]*W; + N=newmat(T0,T1); + for(I=0; I<T0; I++){ + for(K=0; K<W; K++){ + II=K*T0+I; + for(J=0; J<S[1]; J++) + N[I][S[1]*K+J]=(II<S[0])?M[II][J]:Null; + } + } + }else{ + T1=W; + T0=S[0]*(D=ceil(S[1]/T1)); + N=newmat(T0,T1); + for(K=0; K<D; K++){ + for(J=0; J<W;J++){ + JJ=W*K+J; + for(I=0; I<S[0]; I++) + N[S[0]*K+I][J]=(JJ<S[1])?M[I][JJ]:Null; + } + } + } + return N; +} + +def texcr(N) +{ + if(!isint(N) || N<0 || N>127) return N; + S=(iand(N,8))? "\\allowdisplaybreaks":""; + if(iand(N,2)) S=S+"\\\\"; + if(iand(N,16)) S=S+"\\pause"; + if(iand(N,1)) S=S+"\n"; + if(iand(N,4)) S=S+"& "; + else if(!iand(N,1)) S=S+" "; + if(iand(N,64)) S=S+"="; + if(iand(N,32)) S=","+S; + return S; +} + +def ltotex(L) +{ + /* extern TeXLim; */ + + if(type(L)==5) + L = vtol(L); + if(type(L) != 4) + return my_tex_form(L); + Opt=getopt(opt); + Pre=getopt(pre); + if(type(Var=getopt(var))<1) Var=0; + Cr2="\n"; + if(type(Cr=getopt(cr))==4){ + Cr2=Cr[1];Cr=Cr[0]; + } + if(isint(Cr)) Cr=texcr(Cr); + if(type(Cr)!=7) Cr="\\\\\n & "; /* Cr=7 */ + if(type(Opt)==7) Opt=[Opt]; + if(type(Opt)!=4) + Op = -1; + else{ + Op=findin(Opt[0],["spt","GRS","Pfaff","Fuchs","vect","cr","text","spts","spts0", + "dform","tab", "graph","coord"]); + Opt=cdr(Opt); + } + if(Op==0){ /* spt */ + Out = str_tb("\\left\\{\n ",0); + for(CC=0; L!=[]; L=cdr(L), CC++){ + if(CC>0) str_tb(",\\, ",Out); + TP=car(L); + if(Op!=0) + str_tb(my_tex_form(TP),Out); + else if(TP[0]==1) + str_tb(my_tex_form(TP[1]),Out); + else + str_tb(["[", my_tex_form(TP[1]), "]_", rtotex(TP[0])],Out); + } + str_tb("%\n\\right\\}\n",Out); + }else if(Op==1){ /* GRS */ + Out = string_to_tb("\\begin{Bmatrix}\n"); + if(type(Pre)==7) str_tb(Pre,Out); + MC=length(M=ltov(L)); + for(ML=0, I=length(M); --I>=0; ){ + if(length(M[I]) > ML) ML=length(M[I]); + } + for(I=0; I<ML; I++){ + for(CC=J=0; J<MC; J++, CC++){ + if(length(M[J]) <= I){ + if(CC > 0) str_tb(" & ",Out); + }else if(M[J][I][0] <= 1){ + if(M[J][I][0] == 0) str_tb(" & ",Out); + else + str_tb([(!CC)?" ":" & ", my_tex_form(M[J][I][1])], Out); + }else + str_tb([((!CC)?" [":" & ["), my_tex_form(M[J][I][1]), "]_", + rtotex(M[J][I][0])], Out); + } + str_tb((I<ML-1)?"\\\\\n":"\n", Out); + } + str_tb("\\end{Bmatrix}",Out); + }else if(Op==2){ /* Pfaff */ + V=monototex(Opt[0]); + Out = string_to_tb("d"+V+"= \\Biggl("); + Opt=cdr(Opt); + II=length(Opt); + for(I=0; I<II; I++){ + str_tb([(I>0)?" + ":" ",mtotex(L[I]),"\\frac{d",monototex(Opt[I]),"}{", + my_tex_form(Opt[I]),(I==II-1)?"}\n":"}\n\\\\&\n"],Out); + } + str_tb(["\\Biggr)",V,"\n"],Out); + }else if(Op==3){ /* Fuchs */ + Out = string_to_tb("\\frac{d"); + V=my_tex_form(Opt[0]); + str_tb([V,"}{d",my_tex_form(Opt[1]),"}="] ,Out); + Opt=cdr(Opt); Opt=cdr(Opt); + II=length(Opt); + for(I=0; I<II; I++){ + str_tb([(I>0)?" +":"\\Biggl(", " \\frac{", + my_tex_form(L[I]),"}{", my_tex_form(Opt[I]),"}\n"],Out); + } + str_tb(["\\Biggr)",V,"\n"],Out); + }else if(Op==4){ /* vect */ + Out=str_tb(mtotex(matc(L)|lim=0,var=Var),0); + }else if(Op==5 || Op==6){ /* cr or text */ + Out = str_tb(0,0); + if(type(Lim=getopt(lim))!=1) Lim=0; + else if(Lim<30&&Lim>0) Lim=TeXLim; + Str=getopt(str); + if(length(Opt)==1 && (car(Opt)=="spts" || car(Opt)=="spts0") && type(Str)!=1) + Str=2; + for(K=I=0; L!=[]; I++, L=cdr(L)){ + LT=car(L); + if((!Lim||Op==6)&&I>0) str_tb((Op==5)?Cr:"\n",Out); + if(Op==6){ + if(type(LT)==7){ + str_tb([LT," "],Out); + I=-1; + continue; + } + str_tb("$",Out); + } + KK=0; + if(Str>0 && type(LT)==4 && Opt!=[]) + S=ltotex(LT|opt=car(Opt),lim=0,str=Str,cr=Cr2,var=Var); + else if(type(LT)==6){ + if(Lim>0){ + S=mtotex(LT|var=Var,lim=0,len=1); + KK=S[1]; + S=S[0]; + }else S=mtotex(LT|var=Var,lim=0); + }else if(type(LT)==3 || type(LT)==2) + S=fctrtos(LT|TeX=2,lim=0,var=Var); + else S=my_tex_form(LT); + if(Op!=6&&I>0&&Lim){ + if(Lim<0){ + if(I%(-Lim)==0) + str_tb((Op==5)?Cr:"\n",Out); + }else if((K+=(KK=(KK)?KK:texlen(S)))>Lim){ + str_tb((Op==5)?Cr:"\n",Out); + K=KK; + } + } + str_tb(S,Out); + if(Op==6) str_tb("$",Out); + } + }else if(Op==7||Op==8){ /* spts, spts0 */ + if(type(Lim=getopt(lim))!=1 || (Lim<30 && Lim!=0)) + Lim=TeXLim; + Str=getopt(str); + Out = str_tb(0,0); + for(K=0; L!=[]; L=cdr(L)){ + LT=car(L); + KK=0; + if(type(LT)==7 && Str==1) S=LT; + else if(type(LT)==3 || type(LT)==2) + S=fctrtos(LT|TeX=2,lim=0,var=Var); + else if(type(LT)==6){ + if(Lim){ + S=mtotex(LT|var=Var,lim=0,len=1); + KK=S[1]; + S=S[0]; + }else S=mtotex(LT|var=Var,lim=0); + }else + S=my_tex_form(LT); + if(Lim!=0){ + if(!KK) KK=texlen(S); + if(K>0 && K+KK>Lim){ + str_tb(Cr,Out); + K=0; + } + } + if(K>0){ + str_tb((Op==7)?"\\ ":" ",Out); + if(type(LT)>3 && type(LT)<7) str_tb("%\n",Out); + } + str_tb(S,Out); + K+=KK; + if(OP==7) K++; + } + }else if(Op==9){ /* dform */ + Out=str_tb(0,0); + for(I=0;L!=[];L=cdr(L),I++){ + for(J=0,LT=car(L); LT!=[]; LT=cdr(LT),J++){ + if(J==0){ + if((V=car(LT))==0) continue; + if(I>0){ + if(type(V)==1){ + if(V<0){ + str_tb("-",Out); + V=-V; + } + else str_tb("+",Out); + if(V==1 && length(LT)>1) continue; + str_tb(monototex(V),Out); + continue; + } + else str_tb("+",Out); + } + }else if(J>0) str_tb((J>1)?"\\wedge d":"\\,d",Out); + V=monototex(car(LT)); + if(V<"-" || V>=".") str_tb(V,Out); + else str_tb(["(",V,")"],Out); + } + } + }else if(Op==10 && type(L)==4 && type(car(L))==4){ /* tab */ + if(type(Null=getopt(null))<0) Null=""; + if(getopt(vert)==1){ + M=lv2m(L|null=Null); + L=m2ll(mtranspose(M)); + } + if(type(W=getopt(width))==1) + L=madjust(L,W|null=Null); + LV=ltov(L); + S=length(LV); +#if 1 + if(type(T=getopt(left))==4){ + T=str_times(T,S); + for(L=[],I=0;I<S;I++){ + L=cons(cons(car(T),LV[I]),L); + T=cdr(T); + } + LV=reverse(L); + } + if(type(T=getopt(right))==4){ + T=str_times(T,S); + for(L=[],I=0;I<S;I++){ + L=cons(append(LV[I],[car(T)]),L); + T=cdr(T); + } + LV=reverse(L); + } + for(I=CS=0; I<S; I++) + if(length(LV[I])>CS) CS=length(LV[I]); + if(type(T=getopt(top))==4){ + LV=cons(str_times(T,CS),vtol(LV)); + S++; + } + if(type(T=getopt(last))==4){ + LV=append(vtol(LV),[str_times(T,CS)]); + S++; + } +#else + for(I=CS=0; I<S; I++) + if(length(LV[I])>CS) CS=length(LV[I]); +#endif + if(type(Title=getopt(title))!=7) Title=""; + if(type(Vline=getopt(vline))!=4) Vline=[0,CS]; + else Vline=subst(Vline,z,CS); + for(VV=[],VT=Vline;VT!=[];VT=cdr(VT)){ + if(type(T=car(VT))==4 && T[1]>0){ + for(I=T[0];I<=CS;I+=T[1]) VV=cons(I,VV); + }else VV=cons(T,VV); + } + Vline=qsort(VV); + Out=str_tb("\\begin{tabular}{",0); + if(type(Al=getopt(align))==7 && str_len(Al)>1){ + str_tb(Al,Out); + }else{ + if(type(Al)!=7 || str_len(Al)<1) Al="r"; + for(I=0;I<=CS;I++){ + if(I!=0) str_tb(Al,Out); + while(Vline!=[] && car(Vline)==I){ + str_tb("|",Out); + Vline=cdr(Vline); + } + } + } + str_tb("}",Out); + if(Title!="") + str_tb("\n\\multicolumn{"+rtostr(CS)+"}{c}{"+Title+"}\\\\",Out); + if(type(Hline=getopt(hline))!=4) Hline=[0,S]; + else Hline=subst(Hline,z,S); + for(VV=[],VT=Hline;VT!=[];VT=cdr(VT)){ + if(type(T=car(VT))==4 && T[1]>0){ + for(I=T[0];I<=S;I+=T[1]) VV=cons(I,VV); + }else VV=cons(T,VV); + } + Hline=qsort(VV); + while(Hline!=[] && car(Hline)==0){ + str_tb(" \\hline\n",Out); + Hline=cdr(Hline); + } +/* + if(type(getopt(left))==4) CS++; + if(type(getopt(right))==4) CS++; + if(type(T=getopt(top))==4){ + LV=cons(str_times(T,CS),vtol(LV)); + S++; + } + if(type(T=getopt(last))==4){ + LV=append(vtol(LV),[str_times(T,CS)]); + S++; + } + if(type(T=getopt(left))==4){ + T=str_times(T,S); + for(L=[],I=0;I<S;I++){ + L=cons(cons(car(T),LV[I]),L); + T=cdr(T); + } + LV=reverse(L); + } + if(type(T=getopt(right))==4){ + T=str_times(T,S); + for(L=[],I=0;I<S;I++){ + L=cons(append(LV[I],[car(T)]),L); + T=cdr(T); + } + LV=reverse(L); + } +*/ + for(I=0; I<S; I++){ + for(C=0,LT=LV[I];C<CS; C++){ + if(LT!=[]){ + P=car(LT); + if(type(P)!=7) P="$"+my_tex_form(P)+"$"; + if(P!="") str_tb(P,Out); + LT=cdr(LT); + } + if(C<CS-1) str_tb("& ",Out); + } + str_tb("\\\\",Out); + while(Hline!=[] && car(Hline)==I+1){ + str_tb(" \\hline",Out); + Hline=cdr(Hline); + } + str_tb("\n",Out); + } + str_tb("\\end{tabular}\n",Out); + }else if(Op==11){ /* graph */ + if(type(Strip=getopt(strip))!=1) Strip=0; + if(type(MX=getopt(max))!=1) MX=0; + if(type(ML=getopt(mult))!=1) ML=0; + if((REL=getopt(relative))!=1) REL=0; + CL=getopt(color); + OL=delopt(getopt(),["color","strip","mult"]); + if(ML==1&&type(CL)==4){ + LL=L[1];L=L[0];K=length(L);S=T=""; + if(!MX){ + MX=vector(length(L[0])); + for(LT=L;LT!=[];LT=cdr(LT)){ + for(I=0,LTT=car(LT);LTT!=[];I++,LTT=cdr(LTT)){ + if(REL==1) MX[I]+=car(LTT); + else if(MX[I]<car(LTT)) MX[I]=car(LTT); + } + } + MX=lmax(MX); + OL=cons(["max",MX],OL); + } + if(REL==1) MX=newvect(length(L[0])); + for(I=0;I<K;I++){ + for(R=[],J=length(L[I]);--J>=0;){ + if(REL==1){ + R=cons([MX[J],V=MX[J]+L[I][J]],R); + MX[J]=V; + }else R=cons([(!I)?0:L[I-1][J],L[I][J]],R); + } + OP=cons(["color",CL[I]],OL); + S+=ltotex([R,LL]|option_list=cons(["value",0],cons(["strip",(!I)?1:2],OP))); + T+=ltotex([R,LL]|option_list=cons(["strip",3],OP)); + } + return(!Strip)?xyproc(S+T):(S+T); + }else if(!TikZ) CL=0; + if(type(Line=getopt(line))!=1){ + if(type(Line)==4){ + if(type(Line[0])==1 && (type(Line[1])==7 || type(Line[1])==1)){ + Opt=Line[1]; Line=Line[0]; + }else if(ML==1){ + OL=delopt(OL,"line"); + LL=L[1];L=L[0];K=length(L);S=""; + if(!MX){ + MX=newvect(length(L[0])); + for(LT=L;LT!=[];LT=cdr(LT)){ + for(I=0,LTT=car(LT);LTT!=[];I++,LTT=cdr(LTT)){ + if(REL==1) MX[I]+=car(LTT); + else if(MX[I]<car(LTT)) MX[I]=car(LTT); + } + } + MX=lmax(MX); + OL=cons(["max",MX],OL); + } + for(I=0;I<K;I++) + S+=ltotex([L[I],LL]|option_list + =cons(["line",Line[I]],cons(["strip",(!I)?1:2],OL))); + return(!Strip)?xyproc(S):S; + } + }else Line=0; + }else Opt="@{-}"; + Width=8; Hight=3; WRet=1/2; HMerg=(getopt(horiz)==1)?0.3:0.2; + if(!TikZ){ + Width*=10; Hight*=10; HMerg*=10; + } + VMerg=HMerg; + if(type(Shift=getopt(shift))!=1) + Shift=0; + if(type(V=getopt(size))==4){ + Width=V[0];Hight=V[1]; + if(length(V)>2) WRet=V[2]; + if(length(V)>3) VMerg=VMerg=V[3]; + if(length(V)>4) HMerg=V[4]; + } + Val=getopt(value); + if(!isint(Val)) Val=-1; + if(type(Line=getopt(line))!=1){ + if(type(Line)==4 && type(Line[0])==1 && (type(Line[1])==7 || type(Line[1])==1)){ + Opt=Line[1]; Line=Line[0]; + }else Line=0; + }else Opt="@{-}"; + if(type(car(L))==4){ + LL=L[1]; L=L[0]; + }else LL=[]; + if(Line==-1){ + for(Sum=0, LT=L; LT!=[]; LT=cdr(LT)){ + if((S=car(LT))<=0) return 0; + Sum+=S; + } + for(R=[],LT=L;LT!=[];LT=cdr(LT)) R=cons(car(LT)/Sum,R); + R=reverse(R); + Opt0=Opt*2/3; + Out=str_tb((Strip>0)?0:xyproc(1),0); + if(type(CL)!=4) str_tb(xylines(ptpolygon(6,Opt)|close=1,curve=1),Out); + for(S=0,RT=R,LT=LL;RT!=[];RT=cdr(RT)){ + SS=S+RT[0]; + if(type(CL)==4){ + str_tb(xyang(Opt,[0,0],(0.25-SS)*6.2832,(0.25-S)*6.2832|ar=1,opt=car(CL)),Out); + if(length(CL)>0) CL=cdr(CL); + }else str_tb(xyline([0,0],[Opt*dsin(S*6.2832),Opt*dcos(S*6.2832)]),Out); + T=(S+SS)/2; + S=SS; + if(LT!=[]){ + str_tb(xyput([Opt0*dsin(T*6.2832),Opt0*dcos(T*6.2832),car(LT)]),Out); + LT=cdr(LT); + } + } + if(!Strip) str_tb(xyproc(0),Out); + return str_tb(0,Out); + } + if(MX==0){ + for(MX=0,LT=L; LT!=[]; LT=cdr(LT)) + if(car(LT)>MX) MX=car(LT); + } + MX-=Shift; + S=length(L); + WStep=Width/S; + WWStep=WStep*WRet; + HStep=(Hight<0)?-Hight:Hight/MX; + if(LL!=[]&&length(LL)==S-1) WS2=WStep/2; + else WS2=0; + Out=str_tb((Strip>0)?0:xyproc(1),0); + Hori=getopt(horiz); + if(Strip<2){ + if(Hori==1) str_tb(xyline([0,0],[0,Width-WStep+WWStep]),Out); + else str_tb(xyline([0,0],[Width-WStep+WWStep,0]),Out); + } + for(I=0,LT=L;LT!=[]; LT=cdr(LT),I++){ + XP=WStep*I; XPM=XP+WWStep/2; + if(type(LTT=car(LT))==4){ + YP0=(car(LTT)-Shift)*HStep;YP=(LTT[1]-Shift)*HStep; + VL=LTT[1]; + if(REL) VL-=LTT[0]; + }else{ + YP0=0;YP=(LTT-Shift)*HStep;VL=LTT; + } + if(Hori==1){ + if(Line!=0){ + if(I>0) + str_tb(xyarrow([XPM,YP],[XPM-WStep,YPP]|opt=Opt),Out); + if(Val!=0) + str_tb(xyput([YP+HMerg, XPM,car(LT)]),Out); + if(Line==2) + str_tb(xyput([YP,XPM,"$\\bullet$"]),Out); + YPP=YP; + }else if(YP!=0 || Val==1){ + if(Strip!=3){ + if(CL) str_tb(xybox([[YP,XP+WWStep], [YP0,XP]]|color=CL),Out); + else str_tb(xybox([[YP,XP+WWStep],[YP0,XP]]),Out); + } + if(Val!=0) str_tb(xyput([(YP<0||REL==1)?(YP-HMerg):(YP+HMerg),XPM,VL]),Out); + } + if(LL!=[]&&I<length(LL)&&Strip<2) str_tb(xyput([-VMerg,XPM+WS2,LL[I]]),Out); + }else{ + if(Line!=0){ + if(I>0) + str_tb(xyarrow([XPM-WStep,YPP],[XPM,YP]|opt=Opt),Out); + if(Val!=0) + str_tb(xyput([XPM,YP+HMerg,car(LT)]),Out); + if(Line==2) + str_tb(xyput([XPM,YP,"$\\bullet$"]),Out); + YPP=YP; + }else if(YP!=0 || Val==1){ + if(Strip!=3){ + if(CL) str_tb(xybox([[XP,YP0],[XP+WWStep,YP]]|color=CL),Out); + else str_tb(xybox([[XP,YP0],[XP+WWStep,YP]]),Out); + } + if(Val!=0) str_tb(xyput([XPM,(YP<0||REL==1)?(YP-HMerg):(YP+HMerg),VL]),Out); + } + if(LL!=[]&&I<length(LL)&&Strip<2) str_tb(xyput([XPM+WS2,-VMerg,LL[I]]),Out); + } + } + if(!Strip)str_tb(xyproc(0),Out); + }else if(Op==12){ /* coord */ + Out=str_tb("(",0); + for(LT=L;;){ + X=car(LT); + if(type(X)>3 || imag(X)==0) str_tb(my_tex_form(X),Out); + else{ + XR=real(X);XI=imag(X); + S=monototex(imag(X)); + if(S=="1") S=""; + else if(S=="- 1") S="-"; + if(getopt(cpx)==2) S=S+"\\sqrt{-1}"; + else S=S+"i"; + if(XR!=0){ + if(str_char(S,0,"-")==0) S=monototex(XR)+S; + else S=monototex(XR)+"+"+S; + } + str_tb(S,Out); + } + if((LT=cdr(LT))==[]) break; + else str_tb(",",Out); + } + str_tb(")",Out); + } + else return my_tex_form(L); + S = str_tb(0,Out); + return (getopt(small)==1)?smallmattex(S):S; +} + + +def str_tb(L,TB) +{ + if(type(TB) == 0) TB = ""; + if(L == 0) + return (type(TB) == 7)?string_to_tb(TB):tb_to_string(TB); + if(type(L) == 7) + L = [L]; + else if(type(L) != 4){ + erno(0); + return 0; + } + if(type(TB) <= 7) + TB = string_to_tb((type(TB)==7)?TB:""); + for(; L != []; L = cdr(L)) + write_to_tb(car(L), TB); + return TB; +} + +/* +def redgrs(M,T) +{ + L = [zzz]; + for(I=S=0,Eq=[],MT=M; MT!=[]; I++, MT=cdr(MT)){ + for(J=LS=0, N=car(MT); N!=[]; N=cdr(N)){ + X = makev([z,I,z,J]); + L=cons(X,L); + LS += X; + S += car(N)[1]*X; + } + Eq = cons(LS-zzz,Eq); + } + Eq = cons(S-T,Eq); + Sol= lnsol(Eq,L); + for(LS=[],S=Sol; S!=[]; S=cdr(S)){ + T=car(S); + if(type(S)!=4) return 0; + LS=cons(car(S)[0],LS); + } +} +*/ + +/* T=0 : all reduction + =1 : construction procedure + =2 : connection coefficient + =3 : operator + =4 : series expansion + =5 : expression by TeX + =6 : Fuchs relation + =7 : All + =8 : basic + =9 : "" + =10: irreducible + =11: recurrence */ +def getbygrs(M, TT) +{ + /* extern TeXEq; */ + + if(type(M)==7) M=s2sp(M); + if(type(M) != 4 || TT =="help"){ + mycat( +["getbygrs(m,t) or getbygrs(m,[t,s_1,s_2,...]|perm=?,var=?,pt=?,mat=?)\n", +" m: generalized Riemann scheme or spectral type\n", +" t: reduction, construct, connection, series, operator, TeX, Fuchs, irreducible, basic, recurrence,\n", +" All\n", +" s: TeX dviout simplify short general operator irreducible top0 x1 x2 sft\n", +"Ex: getbygrs(\"111,21,111\", [\"All\",\"dviout\",\"operator\",\"top0\"])\n"]); + return 0; + } + if(type(TT) == 4){ + T = TT[0]; + T1 = cdr(TT); + }else{ + T = TT; + T1 = []; + } + if(type(T) == 7) + T = findin(T,["reduction","construct","connection", "operator", "series", + "TeX", "Fuchs", "All", "basic", "", "irreducible", "recurrence"]); + TeX = findin("TeX", T1); + Simp = findin("simplify", T1); + Short = findin("short", T1); + Dviout= findin("dviout", T1); + General=findin("general", T1); + Op =findin("operator", T1); + Irr =findin("irreducible", T1); + Top0 =findin("top0",T1); + X1 =findin("x1",T1); + X2 =findin("x2",T1); + Sft =findin("sft",T1); + Title = getopt(title); + Mat = getopt(mat); + if(Mat!=1 || T<0 ||(T!=0&&T!=1&&T!=5&&T!=6&&T!=8&&T!=10&&T!=9)) Mat = 0; + if(findin("keep",T1) >= 0) + Keep = Dviout = 1; + else Keep = 0; + if(Dviout >= 0 || T == 5) TeX = 1; + for(J = 0, MM = M; J == 0 && MM != []; MM = cdr(MM)){ + for(MI = car(MM); MI != []; MI = cdr(MI)){ + if(type(car(MI)) != 1 || car(MI) <= 0){ + J = 1; break; + } + } + } + + /* spectral type -> GRS */ + if(J == 0){ + for(R = [], S = J = 0, MM = M; MM != []; MM = cdr(MM), J++){ + MT = qsort(car(MM)); + R = cons(reverse(MT), R); + if(J == 1){ + S = length(MT)-1; + if(MT[S] > MT[0]) S = 0; + } + } + M = reverse(R); + R = getopt(var); + if(type(R)<1){ + for(R = [], I = J-1; I >= 0; I--) + R = cons(asciitostr([97+I]), R); + } + Sft=(Sft>=0)?1:0; + if(General < 0) + Sft=-Sft-1; + M = sp2grs(M,R,Sft|mat=Mat); + } + for(M0=[],MM=M;MM!=[];MM=cdr(MM)){ /* change "?" -> z_z */ + for(M1=[],Mm=car(MM);Mm!=[];Mm=cdr(Mm)){ + Mt=car(Mm); + if(type(Mt)==4 && Mt[1]=="?"){ + M1=cons([Mt[0],z_z],M1); + continue; + }else if(type(Mt)==7 && Mt=="?"){ + M1=cons(z_z,M1); + continue; + } + M1=cons(Mt,M1); + } + M0=cons(reverse(M1),M0); + } + M = fspt(reverse(M0),5); /* short -> long */ + if(findin(z_z,vars(M))>=0) + M=subst(M,z_z,lsol(chkspt(M|mat=Mat)[3],z_z)); /* Fuchs relation */ + NP = length(M); + Perm = getopt(perm); + if(type(Perm) == 4) + M = mperm(M,Perm,0); + if(T == 9){ /* "" */ + if(Short >= 0) + M = chkspt(M|opt=4,mat=Mat); + return M; + } + R = [0,M]; + ALL = [R]; + + while(type(R = redgrs(R[1]|mat=Mat)) == 4) + ALL = cons(R, ALL); + if(R < 0) + return 0; + + /* TeX */ + if(TeX >= 0 && !chkfun("print_tex_form", "names.rr")) + return 0; + if(Dviout >= 0 && type(Title) == 7) + dviout(Title|keep=1); + if(T == 7 && Dviout >= 0){ + S=["keep","simplify"]; + if(Top0 >= 0) + S = cons("top0",S); + getbygrs(M,cons(5,S)|title="\\noindent Riemann Scheme",mat=Mat); + Same = 0; + if(R > 0){ + MM = getbygrs(M,8|mat=Mat); /* basic GRS */ + MS = chkspt(MM|opt=0,mat=Mat); /* spectral type */ + if(M != MM) + getbygrs(MM,cons(5,S)|title="Basic Riemann Scheme",mat=Mat); + else{ + dviout("This is a basic Riemann Scheme.\n\n\\noindent"|keep=1); + Same = 1; + } + dviout(MS|keep=1); + } + if(chkspt(ALL[0][1]|mat=Mat)[3] != 0) + getbygrs(M,cons(6,S)|title="Fuchs condition",mat=Mat); + if(Same == 0){ + M1 = M[1]; + if(M1[length(M1)-1][0]==1 && Mat!=1){ + M1=M[2]; + if(M1[length(M1)-1][0] == 1){ + getbygrs(M,cons(2,S)|title="Connection formula"); + if(M1[length(M[0][0])-1][0] == 1 && R==0) + getbygrs(M,cons(11,S)|title="Recurrence relation shifting the last exponents at $\\infty$, 0, 1"); + } + getbygrs(M,cons(1,S)|title="Integral representation"); + getbygrs(M,cons(4,S)|title="Series expansion"); + } + if(Irr < 0){ + TI="Irreduciblity $\\Leftrightarrow$ any value of the following linear forms $\\notin\\mathbb Z$"; + if(R > 0) + TI += " + fundamental irreducibility"; + getbygrs(M,cons(10,S)|title=TI,mat=Mat); + dviout("which coorespond to the decompositions"|keep=1); + sproot(chkspt(M|opt=0),"pairs"|dviout=1,keep=1); + } + } + if(Op >= 0 && Mat!=1) getbygrs(M,cons(3,S)|title="Operator"); + dviout(" "); + return 1; + } + if(T == 0 && TeX >= 0){ + T = 1; TeX = 16; + } +/* Fuchs */ + Fuc = chkspt(ALL[0][1]|Mat=mat)[3]; + if(Fuc == 0) Simp = -1; + if(type(Fuc) == 1){ + print("Violate Fuchs condition"); + return 0; + } + if(T == 6){ + if(Dviout >= 0) dviout(Fuc|eq=0,keep=Keep); + return (TeX >= 0)?my_tex_form(Fuc):Fuc; + } + Fuc = [Fuc]; +/* Generelized Riemann scheme */ + if(T == 5){ + M = ltov(M); + for(ML=0, I=0; I<NP; I++){ + L = length(M[I]); + if(L > ML) ML = L; + } + Out = string_to_tb("P\\begin{Bmatrix}\nx="); + if(Top0 < 0) + write_to_tb("\\infty & ",Out); + Pt = getopt(pt); + if(type(Pt) == 4){ + for(J = 3; J < NP; J++){ + str_tb(["& ",rtotex(car(Pt))],Out); + Pt = cdr(Pt); + } + } + else if(X2>=0) + str_tb("0 & x_2",Out); + else + str_tb((X1>=0)?"x_1 & x_2":"0 & 1",Out); + for(J = 3; J < NP; J++) + str_tb(["& x_",rtotex(J)],Out); + if(Top0 >= 0) + write_to_tb("& \\infty",Out); + write_to_tb("\\\\\n",Out); + for(I = 0; I < ML; I++){ + for(CC = 0, J = (Top0 >= 0)?1:0; ; J++, CC++){ + if(J == NP){ + if(Top0 < 0) break; + J = 0; + } + if(length(M[J]) <= I){ + if(CC > 0) write_to_tb(" & ",Out); + }else if(M[J][I][0] <= 1){ + if(M[J][I][0] == 0) str_tb(" & ",Out); + else + str_tb([(!CC)?" ":" & ", my_tex_form(M[J][I][1])], Out); + }else{ + str_tb([((!CC)?"[":" & ["), my_tex_form(M[J][I][1]), + (Mat==1)?"]_{":"]_{("],Out); + str_tb([my_tex_form(M[J][I][0]),(Mat==1)?"}":")}"],Out); + } + if(Top0 >= 0 && J == 0) + break; + } + if(I == 0) + str_tb("&\\!\\!;x",Out); + str_tb("\\\\\n",Out); + } + str_tb("\\end{Bmatrix}",Out); + Out = str_tb(0,Out); + if(Dviout >= 0) + dviout(Out|eq=0,keep=Keep); + return Out; + } + +/* Reduction */ + if(T == 0){ + if(Simp >= 0) + ALL = simplify(ALL,Fuc,4); + return reverse(ALL); + } + LA = length(ALL) - 1; + NP = length(ALL[0][1]); + +/* irreducible */ + if(T == 10){ + for(IR=[], I = 0; I < LA; I++){ + AI = ALL[I]; AIT = AI[1]; + K = AI[0][0]; + P = -AIT[0][K][1]; + P -= cterm(P); + IR = cons(P, IR); + for(J = 0; J < NP; J++){ + K = AI[0][J]; + for(L = length(AIT[J]) - 1; L >= 0 ; L--){ + if(L == K || AIT[J][L][0] <= AIT[J][K][0]) + continue; + P = AIT[J][L][1] - AIT[J][K][1]; + Q = cterm(P); + if(dn(Q)==1) + P -= Q; + IR = cons(P,IR); + } + } + } + P=Fuc[0]; + Q=cterm(P); + if(type(Q)==1 && dn(Q)==1){ + for(F=0,V=vars(P);V!=[];V=cdr(V)){ + R=mycoef(P,1,car(V)); + if(type(R)!=1 || Q%R!=0){ + F=1; break; + } + } + if(F==0){ + P-=Q; + Simp=0; + } + } + if(Simp >= 0){ + IR=simplify(IR,[P],4); + for(R=[]; IR!=[]; IR=cdr(IR)){ + P=car(IR); + Q=cterm(P); + if(dn(Q)==1) P-=Q; + R=cons(P,R); + } + IR=R; + } + for(R=[]; IR!=[]; IR=cdr(IR)){ + P=car(IR); + if(str_len(rtostr(P)) > str_len(rtostr(-P))) + P = -P; + R = cons(P,R); + } + R = ltov(R); +#ifdef USEMODULE + R = qsort(R,os_md.cmpsimple); +#else + R = qsort(R,cmpsimple); +#endif + R = vtol(R); + if(TeX >= 0){ + Out = string_to_tb(""); + for(I=L=K=0; R!=[]; R=cdr(R),I++){ + K1 = K; + RS = my_tex_form(car(R)); + K = nmono(car(R)); + L += K; + if(I){ + if(K1 == K && L < 30) + str_tb("\\quad ",Out); + else{ + L = K; + str_tb((TeXEq==5)?["\\\\%\n &"]:["\\\\%\n "],Out); + } + } + str_tb(RS,Out); + } + R = Out; + if(Dviout>=0){ + dviout(R|eq=0,keep=Keep); + return 1; + } + } + return R; + } + + AL = []; SS = 0; + for(I = 0; I <= LA; I++){ + AI = ALL[I]; AIT = AI[1]; /* AIT: GRS */ + if(I > 0){ + for(S = J = 0; J < NP; J++){ + GE = AIT[J][AI0[J]][1]; + S += GE; + if(J == 0) + SS = []; + else + SS = cons(GE,SS); + } + SS = cons(1-Mat-S, reverse(SS)); + } + AI0 = AI[0]; + AL = cons([SS, cutgrs(AIT)], AL); + } + AL = reverse(AL); + AD = newvect(NP); + ALT = AL[0][1]; + for(J = 1; J < NP; J++){ + /* AD[J] = ALT[J][0][1]; [J][?][1] <- [J][?][0]: max */ + for(MMX=0, K = KM = length(ALT[J])-1; K >= 0; K--){ + if(MMX <= ALT[J][K][0]){ + if(J == 1 && MMX == ALT[J][K][0]) + continue; + KM = K; + MMX = ALT[J][K][0]; + } + } + AD[J] = ALT[J][KM][1]; + } + AL = cdr(AL); + AL = cons([vtol(AD), ALT], AL); + AL = cons([0, mcgrs(ALT, [vtol(-AD)]|mat=Mat)], AL); + if(Simp >= 0 && T != 3) + AL = simplify(AL,Fuc,4); +/* Basic */ + if(T == 8){ + ALT = AL[0][1]; + if(TeX >= 0){ + if(Dviout >= 0){ + return getbygrs(ALT,["TeX","dviout","keep"]); + } + return getbygrs(ALT,"TeX"); + } + if(Short >= 0) + ALT = chkspt(ALT|opt=4); + return ALT; + } + +/* Construct */ + if(T == 1){ + if(TeX >= 0){ + L = length(AL); + I = Done = 0; Out0=Out1=""; NM = DN = []; + if(TeX != 16){ + AL11=AL[L-1][1][1]; + AT = AL11[length(AL11)-1]; + if(type(AT) == 4){ + PW = (AT[0] > 1)?"":AT[1]; + }else PW = AT; + } + Out = string_to_tb(""); + while(--L >= 0){ + if(TeX == 16){ + if(Done) + write_to_tb(":\\ ", Out); + write_to_tb(getbygrs(AL[L][1],(Top0>=0)?["TeX", "top0"]:"TeX"|mat=Mat), Out); + Done = 1; + if(L != 0) write_to_tb((TeXEq==5)? + "\\\\%\n&\\leftarrow ":"\\\\%\n\\leftarrow ", Out); + } + ALT = AL[L][0]; + if(TeX != 16){ + V1 = (I==0)?"x":V2; + V2 = /* (I==0 && L<=2)?"s": */ + "s_"+rtotex(I); + }else V1=V2="x"; + JJ = (type(ALT) == 4)?length(ALT):0; + if(I > 0 && L > 0) + write_to_tb("\n ", Out); + for(Outt = "", J = 1; J < JJ; J++){ + if(ALT[J] == 0) continue; + if(J == 1) Outt += V1; + else if(J == 2) Outt += "(1-"+V1+")"; + else Outt += "(x_"+rtotex(J)+"-"+V1+")"; + Outt += "^"+ rtotex(ALT[J]); + } + if(TeX != 16) write_to_tb(Outt, Out); + else if(Outt != "") + str_tb(["\\mathrm{Ad}\\Bigl(",Outt,"\\Bigr)"], Out); + if(JJ == 0){ + if(I != 0) + Out1 = "ds_"+rtotex(I-1)+Out1; + continue; + } + if(ALT[0] == 0) continue; + Out0 += "\\int_p^{"+V1+"}"; + if(TeX == 16) + str_tb(["mc_",rtotex(ALT[0])], Out); + else{ + str_tb(["(",V1,"-",V2,")^",rtotex(-1+ALT[0])], Out); + AL11=AL[L-1][1][1]; + AT = AL11[length(AL11)-1]; + if(type(AT) == 4) AT = AT[1]; + DN = cons(ALT[0]+AT+1,DN); + NM = cons(AT+1,cons(ALT[0],NM)); + } + if(L != 2) Out1 += "d"+V2; + I++; + } + if(R){ + if(I == 0) Ov = "x"; + else Ov = "s_"+rtotex(I-1); + Out1 = "u_B("+Ov+")"+Out1; + } + if(TeX != 16){ + Out0 = string_to_tb(Out0); + str_tb([Out, Out1], Out0); + Out = Out0; + NM = simplify(NM, Fuc, 4); + DN = simplify(DN, Fuc, 4); + DNT = lsort(NM,DN,"reduce"); + NMT = DNT[0]; DNT = DNT[1]; + if(NMT != [] && PW != ""){ + write_to_tb((TeXEq==5)?"\\\\\n &\\sim\\frac{\n" + :"\\\\\n \\sim\\frac{\n", Out); + for(PT = NMT; PT != []; PT = cdr(PT)) + str_tb([" \\Gamma(",my_tex_form(car(PT)), ")\n"], Out); + write_to_tb(" }{\n", Out); + for(PT = DNT; PT != []; PT = cdr(PT)) + write_to_tb(" \\Gamma("+my_tex_form(car(PT))+")\n", Out); + write_to_tb(" }", Out); + if(R > 0) write_to_tb("C_0", Out); + write_to_tb("x^"+rtotex(PW) +"\\ \\ (p=0,\\ x\\to0)", Out); + } + }else + Out = str_tb(0, Out); + if(Dviout >= 0){ + dviout(Out|eq=0,keep=Keep); + return 1; + } + return O; + } + if(Short >= 0){ + for(ALL = [] ; AL != []; AL = cdr(AL)){ + AT = car(AL); + ALL = cons([AT[0], chkspt(AT[1]|opt=4)], ALL); + } + AL = reverse(ALL); + } + return AL; /* AL[0][1] : reduced GRS, R==0 -> rigid */ + } + + if(T == 2 || T == 4 || T == 11){ + for(I = (T==2)?2:1; I >= (T==11)?0:1; I--){ + ALT = M[I]; + if(ALT[length(ALT)-1][0] != 1){ + mycat(["multiplicity for",I,":",ALT[length(ALT)-1][1], + "should be 1"]); + return; + } + } + } + LA++; + NM = DN = []; + +/* Three term relation */ + if(T == 11){ + if(R > 0){ + print("This is not rigid\n"); + return 0; + } + for(I = 0; I <= LA; I++){ + if(I > 0){ + AI = AL[I][0]; /* operation */ + if(AI[0] != 0){ + DN = cons(simplify(AI1+1,Fuc,4),DN); + NM = cons(simplify(AI1+AI[0]+1,Fuc,4),NM); + } + } + ALT = AL[I][1][1]; AI1 = ALT[length(ALT)-1][1]; + } + DNT = lsort(NM,DN,"reduce"); + if(TeX < 0) return DNT; + NMT = DNT[0]; DNT = DNT[1]; + Out = str_tb("u_{0,0,0}-u_{+1,0,-1}=\\frac{",""); + for(PT = NMT; PT != []; PT = cdr(PT)) + str_tb(["(",my_tex_form(car(PT)),")"], Out); + str_tb(["}\n{"],Out); + for(PT = DNT; PT != []; PT = cdr(PT)) + str_tb(["(",my_tex_form(car(PT)),")"], Out); + write_to_tb("}u_{0,+1,-1}",Out); + if(Dviout >= 0){ + dviout(Out|eq=0,keep=Keep); + return 1; + } + return Out; + } + + AD=newvect(NP); + for(I = 0; I <= LA; I++){ + if(I > 0){ + AI = AL[I][0]; /* operation */ + if(T == 2 && AI[0] != 0){ + DN = cons(simplify(-AI2,Fuc,4), cons(simplify(AI1+1,Fuc,4),DN)); + NM = cons(simplify(-AI2-AI[0],Fuc,4), cons(simplify(AI1+AI[0]+1,Fuc,4), + NM)); + } + for(J = 1; J < NP; J++) + AD[J] += simplify(AI[J],Fuc,4); + } + if(T == 2){ + ALT = AL[I][1][1]; AI1 = ALT[length(ALT)-1][1]; + ALT = AL[I][1][2]; AI2 = ALT[length(ALT)-1][1]; + if(I == 0){ + C3 = AI1; C4 = AI2; + } + } + } + +/* Connection */ + if(T == 2){ + DNT = lsort(NM,DN,"reduce"); + NMT = DNT[0]; DNT = DNT[1]; + if(TeX < 0) return [NMT,DNT,AD]; + C0 = M[1][length(M[1])-1][1]; + C1 = M[2][length(M[2])-1][1]; + M = AL[0][1]; + C3 = M[1][length(M[1])-1][1]; + C4 = M[2][length(M[2])-1][1]; + Out = str_tb(["c(0\\!:\\!", my_tex_form(C0), + " \\rightsquigarrow 1\\!:\\!", my_tex_form(C1),")"], ""); + if(R > 0 && AMSTeX == 1 && (TeXEq == 4 || TeXEq == 5)){ + write_to_tb("\\\\\n", Out); + if(TeXEq == 5) write_to_tb(" &", Out); + } + write_to_tb("=\\frac{\n",Out); + for(PT = NMT; PT != []; PT = cdr(PT)) + write_to_tb(" \\Gamma("+my_tex_form(car(PT))+")\n", Out); + write_to_tb(" }{\n",Out); + for(PT = DNT; PT != []; PT = cdr(PT)) + write_to_tb(" \\Gamma("+my_tex_form(car(PT))+")\n",Out); + write_to_tb(" }", Out); + for(J = 3; J < length(AD); J++){ + if(AD[J] == 0) continue; + str_tb(["\n (1-x_", rtotex(J), "^{-1})^", rtotex(AD[J])], Out); + } + if(R != 0) + str_tb(["\n c_B(0\\!:\\!", my_tex_form(C3), + " \\rightsquigarrow 1\\!:\\!", my_tex_form(C4), ")"], Out); + Out = tb_to_string(Out); + if(Dviout >= 0){ + dviout(Out|eq=0,keep=Keep); + return 1; + } + return Out; + } + +/* Series */ + if(T == 4){ + AL11 = AL[0][1][1]; + V = AL11[length(AL11)-1][1]; + S00 = -V; S01 = (R==0)?[]:[[0,0]]; + S1 = S2 = []; + for(Ix = 1, ALL = cdr(AL); ALL != []; ){ + ALT = ALL[0][0]; + if(ALT[0] != 0){ /* mc */ + for(Sum = [], ST = S01; ST != []; ST = cdr(ST)) + Sum = cons(car(ST)[0], Sum); + S1 = cons(cons(S00+1,Sum), S1); + S2 = cons(cons(S00+1+ALT[0],Sum),S2); + S00 += ALT[0]; + } + ALL = cdr(ALL); + for(I = 1; I < length(ALT); I++){ /* addition */ + if(I == 1){ + S00 += ALT[1]; + if(ALL == []) + S00 = [S00]; + }else{ + if(ALT[I] == 0) + continue; + if(ALL != []){ + S1 = cons([-ALT[I],Ix],S1); + S2 = cons([1,Ix],S2); + S01= cons([Ix,I],S01); + Ix++; + }else + S00 = cons([ALT[I],I],S00); + } + } + } + S00 = reverse(S00); + S01 = qsort(S01); S1 = qsort(S1); S2 = qsort(S2); + if(Simp >= 0){ + S00 = simplify(S00,Fuc,4); + S01 = simplify(S01,Fuc,4); + S1 = simplify(S1,Fuc,4); + S2 = simplify(S2,Fuc,4); + SS = lsort(S1,S2,"reduce"); + S1 = SS[0]; S2 = SS[1]; + } + + if(TeX >= 0){ + /* Top linear power */ + TOP = Ps = Sm = ""; + for(TOP = Ps = Sm = "", ST = cdr(S00); ST != []; ST = cdr(ST)){ + SP = car(ST); + if(SP[0] != 0){ + if(SP[1] == 2) + TOP += "(1-x)^"+rtotex(SP[0]); + else + TOP += "(1-x/x_"+rtotex(SP[1])+")^"+rtotex(SP[0]); + } + } + /* Top power */ + PW = my_tex_form(car(S00)); + if(PW == "0") + PW = ""; + NP = length(AL[0][1]); + PWS = newvect(NP); + for(I = 0; I < NP; I++) + PWS[I] = ""; + for(S = S01, I = 0; S != []; S = cdr(S), I++){ + SI = rtotex(car(S)[0]); + if(I > 0) Sm += ",\\ "; + Sm += "n_"+SI+"\\ge0"; + if(PW != "") + PW += "+"; + PW += "n_"+SI; + if(car(S)[1] > 2) + PWS[car(S)[1]] += "-n_"+rtotex(car(S)[0]); + else if(car(S)[1] == 0) + Ps = "C_{n_0}"+Ps; + } + for(I = 3; I < NP; I++){ + if(PWS[I] != "") + Ps += "x_"+rtotex(I)+"^{"+PWS[I]+"}"; + } + Out = str_tb([TOP, Ps, "x^{", PW, "}"], ""); + /* Gamma factor */ + for(I = 0, SS = S1; I <= 1; I++, SS = S2){ + PW = string_to_tb(""); + for(PW1=""; SS != [] ; SS = cdr(SS)){ + for(J = 0, SST = car(SS); SST != []; SST = cdr(SST), J++){ + if(J == 0){ + JJ = (car(SST) == 1)?((length(SST)==2)?(-1):0):1; + if(JJ > 0) + str_tb(["(", my_tex_form(car(SST)), ")_{"], PW); + else if(JJ == 0) + PW1 = "("; + }else{ + if(JJ > 0){ + if(J > 1) write_to_tb("+", PW); + str_tb(["n_", rtotex(car(SST))], PW); + }else{ + if(J > 1) PW1 += "+"; + PW1 += "n_"+rtotex(car(SST)); + } + } + } + if(JJ > 0) write_to_tb("}", PW); + else PW1 += (JJ == 0)?")!":"!"; + } + if(I == 0) + Out0 = "\\frac"; + Out0 += "{"+tb_to_string(PW)+PW1+"}"; + PW = string_to_tb(""); PW1 = ""; + } + if(Out0 == "\\frac{}{}") + Out0 = ""; + Out = "\\sum_{"+Sm+"}"+Out0 + Top + tb_to_string(Out); + if(length(S01) == 1){ + Out = str_subst(Out, "{n_"+SI+"}", "n"); + Out = str_subst(Out, "n_"+SI, "n"); + } + if(Dviout >= 0) + dviout(Out|eq=0,keep=Keep); + return Out; + } + return [cons(S00, S01), S1, S2]; + } + +/* Operator */ + if(T==3){ + Fuc0 = car(Fuc); + if(Fuc0 != 0){ /* Kill Fuchs relation */ + for(V = vars(Fuc0); V != []; V = cdr(V)){ + VT = car(V); + if(deg(Fuc0,VT) == 1){ + AL = mysubst(AL, [VT, -red(coef(Fuc0,0,VT)/coef(Fuc0,1,VT))]); + break; + } + } + if(V == []){ + print("Fuchs condition has no variable with degree 1"); + return 0; + } + } + L = newvect(NP); + Pt = getopt(pt); + for(I = NP-1; I >= 1; I--){ + if(type(Pt) == 4) + L[I] = Pt[I-1]; + else if(I >= 3 || X1 >= 0 || (X2 >= 0 && I >= 2)) + L[I] = makev(["x_", I]); + else L[I] = I-1; + } + if(R){ /* non-rigid basic */ + MM = AL[0][1]; /* Riemann scheme */ + for(OD = 0, MT = car(MM); MT != []; MT = cdr(MT)) + OD += car(MT)[0]; + for(V = DN = [], M = MM; M != []; M = cdr(M)){ + MT = car(M); /* exponents */ + for(K = KM = 0, NT = []; ; K++){ + for(J = 0, P = 1, MTT = MT; MTT != []; MTT = cdr(MTT)){ + if(J == 0 && car(MTT)[1] == 0) + KM = car(MTT)[0]; + for(KK = car(MTT)[0] - K -1; KK >= 0; KK--) + P *= (dx-car(MTT)[1]-KK); + } + if(P == 1) break; + NT = cons(P,NT); + } + V = cons(reverse(NT), V); + DN = cons(KM, DN); + } + V = ltov(reverse(V)); /* conditions for GRS */ + DN = ltov(reverse(DN)); /* dims of local hol. sol. */ + for(J = OD; J >= 0; J--){ + for(I = Q = 1; I < NP; I++){ + if(J > DN[I]) + Q *= (x-L[I])^(J-DN[I]); + } + K = mydeg(Q,x); + if(J == OD){ + P = Q*dx^J; + DM = K; + }else{ + for(I = DM-OD+J-K; I >= 0; I--){ + X = makev(["r",J,"_",I]); + P += Q*x^I*X*dx^J; + } + } + } + for(R = [], I = 0; I < NP; I++){ + Q = toeul(P, [x,dx], (I==0)?"infty":L[I]); /* Euler at I-th pt */ + for(VT = V[I], J=0; VT != [] ; VT = cdr(VT), J++){ + if(car(VT) != 0) + R = cons(rpdiv(coef(Q,J,x), car(VT), dx)[0], R); /* equations */ + } + } + for(RR = RRR = [], I = OD-1; I>=0; I--){ + RR = []; + for(RT = R; RT != [] ; RT = cdr(RT)){ + if( (VT = mycoef(car(RT), I, dx)) != 0) + RR = cons(VT, RR); /* real linear eqs */ + } + J = mydeg(mycoef(P,I,dx),x); + for(S = 0, VVV = []; J >= 0; J--){ + X = makev(["r",I,"_",J]); + VVV = cons(X, VVV); /* unknowns */ + } + RR = lsol(RR,VVV); + LN = length(RR); + for(K=0; K<LN; K++){ + RRT = RR[K]; + if(type(RRT) != 4) continue; + R = mysubst(R,RRT); + P = mysubst(P,RRT); + } + } + }else /* Rigid case */ + P = dx^(AL[0][1][0][0][0]); + /* additions and middle convolutions */ + for(ALT = AL; ALT != []; ALT = cdr(ALT)){ + AI = car(ALT)[0]; + if(type(AI) != 4) continue; + V = ltov(AI); + if(V[0] != 0) P = mc(P,x,V[0]); + for(I = 1; I < NP; I++){ + if(V[I] != 0) + P = sftexp(P,x,L[I],-V[I]); + } + } + P = (Simp>=0)? simplify(P,Fuc,4|var=[dx]):simplify(P,Fuc,4); + if(TeX >= 0){ + Val = 1; + if(mydeg(P,dx) > 2 && AMSTeX == 1 && TeXEq > 3) + Val = (TeXEq==5)?3:2; + Out = fctrtos(P|var=[dx,"\\partial"],TeX=Val); + if(Dviout < 0) return Out; + dviout(Out|eq=0,keep=Keep); + return 1; + } + return P; + } + return 0; +} + +def mcop(P,M,S) +{ + for(V=[],ST=S;ST!=[];ST=cdr(ST)) + if(isvar(VT=car(ST))) V=cons(vweyl(VT),V); + V=reverse(V); + N=length(V); + for(MT=M;MT!=[];MT=cdr(MT)){ + T=car(MT); + if(T[0]!=0) + P=mc(P,V[0],T[0]); + for(TT=cdr(T),ST=cdr(S);ST!=[];TT=cdr(TT),ST=cdr(ST)) + if(car(TT)!=0) P=sftpexp(P,V,S[0]-ST[0],-car(TT)); + } + return P; +} + +/* option: zero, all, raw */ +def shiftop(M,S) +{ + if(type(M)==7) M=s2sp(M); + if(type(S)==7) S=s2sp(S); + Zero=getopt(zero); + NP=length(M); + for(V=L=[],I=NP-1; I>=0; I--){ + V=cons(strtov(asciitostr([97+I])),V); + if(I>2) L=cons(makev(["y_", I-1]),L); + else L=cons(I-1,L); + } + if(type(M[0][0])==4){ + F=1;RS=M;SS=S; + R=chkspt(M); + if(R[2]!=2 || R[3]!=0){ + mycat("GRS is not valid!");return 0; + } + for(; S!=[]; S=cdr(S)){ + if(nmono(S[0][0])!=1) break; + if(isint(S[0][1]-S[0][0])==0) break; + } + if(S!=[]){ + mycat("Error in shift!"); return 0; + } + }else{ + F=0; + RS=sp2grs(M,V,[1,length(M[0]),1]); + for(SS=S0=[],I=0; I<NP; I++){ + for(J=F=0; J<length(M[I]); J++){ + if(I==0 && J==length(M[0])-1) break; + if((U=S[I][J])!=0){ + if(isint(U)!=1){ + mycat("Error in shift!"); return 0; + } + VT=RS[I][J][1]; + SS=cons([VT,VT+U],SS); + }else if(I>0 && Zero==1 && F==0){ + RS=mysubst(RS,[RS[I][J][1],0]); + F=J+1; + } + } + if((F>0 && J==2) || (I==0 && J==1)){ + J=(I==0)?0:2-F; VT=RS[I][J][1]; + S0=cons([VT,strtov(asciitostr([strtoascii(rtostr(VT))[0]]))],S0); + } + } + } + RS1=mysubst(RS,SS); + if(F==1){ + R=chkspt(RS1); + if(R[2]!=2 || R[3]!=0){ + mycat("Error in shift!"); + return 0; + } + } + R=getbygrs(RS,1); R1=getbygrs(RS1,1); + RT=R[0][1][0]; + if(length(RT)!=1 || RT[0][0]!=1){ + mycat("Not rigid!"); + return 0; + } + P=dx;Q=Q1=1; + for(RT = R, RT1=R1; RT != []; RT = cdr(RT), RT1=cdr(RT1)){ + V=car(RT)[0]; V1=car(RT1)[0]; + if(type(V) != 4) continue; + + if(V[0] != 0){ + P = mc(P,x,V[0]); /* middle convolution */ + QT = mc(Q,x,V[0]); + }else QT=Q; + D0=mydeg(Q,dx);D0T=mydeg(QT,dx); + C0=red(mycoef(Q,D0,dx)/mycoef(QT,D0T,dx)); + if(C0!=1) QT=red(C0*QT); + + if(V1[0] != 0) Q1T = mc(Q1,x,V1[0]); + else Q1T=Q1; + D1=mydeg(Q1,dx);D1T=mydeg(Q1T,dx); + C1=red(mycoef(Q1,D1,dx)/mycoef(Q1T,D1T,dx)); + if(C1!=1) Q1T=red(C1*Q1T); + DD=(V[0]-V1[0])+(D0-D0T)-(D1-D1T); + if(DD>0){ + QT=muldo(dx^DD,QT,[x,dx]); + D0T+=DD; + }else if(DD<0){ + Q1T=muldo(dx^(-DD),Q1T,[x,dx]); + D1T-=DD; + } + C=mylcm(dn(QT),dn(Q1T),x); + if(C!=1){ + QT=red(C*QT); Q1T=red(C*Q1T); + } + Q=QT;Q1=Q1T; + for(I = 1; I < NP; I++){ + if(V[I]!=0){ + P = sftexp(P,x,L[I],-V[I]); /* addition u -> (x-L[I])^V[I]u */ + QT = sftexp(QT,x,L[I],-V[I]); + } + if(V1[I]!=0) + Q1T = sftexp(Q1T,x,L[I],-V1[I]); + } + C=red(mycoef(QT,D0T,dx)*mycoef(Q1,D1T,dx)/(mycoef(Q,D0T,dx)*mycoef(Q1T,D1T,dx))); + Q=red(dn(C)*QT);Q1=red(nm(C)*Q1T); + for(I = 1; I < NP; I++){ + if((J=V[I]-V1[I])!=0){ + if(J>0) Q1*=(x-L[I])^J; + else Q*=(x-L[I])^(-J); + } + while((QT=tdiv(Q,x-L[I]))!=0){ + if((Q1T=tdiv(Q1,x-L[I]))!=0){ + Q=QT;Q1=Q1T; + }else break; + } + } + } + P1=mysubst(P,SS); + if(type(S0)==4 && S0!=[]){ + P=mysubst(P,S0); Q=mysubst(Q,S0); + P1=mysubst(P1,S0); Q1=mysubst(Q1,S0); + RS=mysubst(RS,S0); RS1=mysubst(RS1,S0); + } + R=mygcd(Q1,P1,[x,dx]); + if(findin(dx,vars(R[0]))>=0){ + mycat("Some error!"); + return 0; + } + Q=muldo(R[1]/R[0],Q,[x,dx]); + R=divdo(Q,P,[x,dx]); + Q=red(R[1]/R[2]); + R=fctr(nm(Q)); + QQ=Q/R[0][0]; + R1=fctr(dn(QQ)); + for(RR=cdr(R1); RR!=[]; RR=cdr(RR)){ + VT=vars(car(RR)[0]); + if(findin(x,VT)<0 && findin(dx,VT)<0){ + for(I=car(RR)[1];I>0;I--) QQ=red(QQ*car(RR)[0]); + } + } + Raw=getopt(raw); + Dviout=getopt(dviout); + if(Dviout==1) Raw=4; + if(Raw!=1){ + for(RR=cdr(R); RR!=[]; RR=cdr(RR)){ + VT=vars(car(RR)[0]); + if(findin(x,VT)<0 && findin(dx,VT)<0){ + for(I=car(RR)[1];I>0;I--) QQ=red(QQ/car(RR)[0]); + } + } + } + if(Raw==2||Raw==3||Raw==4){ + R=mygcd(QQ,P,[x,dx]); /* R[0]=R[1]*QQ + R[2]*P */ + Q1=red(R[0]/R[2]); + for(Q=1,RR=cdr(fctr(nm(Q1))); RR!=[]; RR=cdr(RR)){ + VT=vars(car(RR)[0]); + if(findin(x,VT)<0){ + for(I=car(RR)[1];I>0;I--) Q*=car(RR)[0]; + } + } + if(Raw==3) QQ=[QQ,Q]; + else if(Raw==4) /* Q=Q*R[1]/R[0]*QQ+Q/R[0]*P */ + QQ=[QQ,Q,red(R[1]*Q/R[0])]; + else QQ=Q; + } + F=getopt(all); + if(Dviout==1){ + Pre = " x=\\infty & 0 & 1"; + for(I=3; I<NP; I++) Pre = Pre+"& "+rtostr(L[I]); + Pre = Pre+"\\\\\n"; + PW=str_tb(ltotex(RS|opt="GRS",pre=Pre),0); + str_tb( +"=\\{u\\mid Pu=0\\}\\\\\n&\\underset{Q_2}{\\overset{Q_1}{\\rightleftarrows}}\n",PW); + str_tb([ltotex(RS1|opt="GRS",pre=Pre),"\\\\\n"],PW); + R=fctrtos(QQ[0]|TeX=3,var=[dx,"\\partial"]); + if(type(R)==4) R="\\frac1{"+R[1]+"}"+R[0]; + str_tb(["Q_1&=",R,"\\\\\n"],PW); + R=fctrtos(QQ[2]|TeX=3,var=[dx,"\\partial"]); + if(type(R)==4) R="\\frac1{"+R[1]+"}"+R[0]; + str_tb(["Q_2&=",R,"\\\\\n"],PW); + str_tb(["Q_2Q_1&\\equiv ",fctrtos(QQ[1]|TeX=3),"\\mod W(x)P"],PW); + if(F==1) + str_tb(["\\\\\nP&=",fctrtos(P|TeX=3,var=[dx,"\\partial"])],PW); + dviout(str_tb(0,PW)|eq=0,title="Shift Operator"); + } + if(F==1) return [QQ,P,RS,P1,RS1]; + else if(F==0) return QQ; + return [QQ,P,RS]; +} + +def conf1sp(M) +{ + if(type(M)==7) M=s2sp(M); + L0 = length(M); + L1 = length(M[L0-1]); + X2 = getopt(x2); + Conf= getopt(conf); + if(Conf != 0) + Conf = -1; + if((X2==1 || X2==-1) && Conf != 0){ + X1 = 0; + X = x_1; + }else{ + X1 = 1; + X = x_2; + } + G = sp2grs(M,a,[L0,L1]); + for(I = 0; I < L0-1; I++){ + V = makev([a,I-Conf,0]); + G = subst(G,V,0); + } + L2 = length(M[1]); + for(I=J=S0=S1=0; I < L2; I++){ + S1 += G[1][I][0]; + while(S0 < S1){ + S0 += G[0][J][0]; + if((V=G[0][J][1]) != 0) + G = mysubst(G,[V,V-G[1][I][1]]); + J++; + } + if(S0 > S1){ + print("Error in data!"); + return 0; + } + } + if(Conf==0){ + for(L=[], I=L0-2; I>=0; I--) + L=cons(I,L); + L=cons(L0-1,L); + P = getbygrs(G,["operator","x2"]|perm=L); + }else if(X1) + P = getbygrs(mperm(G,[[1,2]],[]), ["operator","x2"]); + else + P = getbygrs(G,["operator","x1"]); + if(Conf==0) + P=nm(mysubst(P,[X,c])); + else{ + P = nm(mysubst(P,[X,1/c])); + if(X2==-1){ + for(I=2; I<L0; I++){ + V=makev(["x_",I]); VC=makev([c,I]); + P = nm(mysubst(P,[V,1/VC])); + } + } + } + for(I = 1; I < L2; I++){ + X = G[1][I][1]; + P = nm(mysubst(P,[X,X/c])); + } + VS = vars(P); + while(VS!=[]){ + V = car(VS); + if(str_chr(rtostr(V),0,"r")==0){ + CV = mycoef(P,1,V); + D = mymindeg(CV,c); + if(D > 0) P = mysubst(P,[V,V/c^D]); + CV = mycoef(P,1,V); + DD = mydeg(CV,dx); + CVV = mycoef(CV,DD,dx); + CD1 = mydeg(CVV,x); + CD = (X==x1)?0:CD1; + while(CD>=0 && CD<=CD1){ + CC = mycoef(CVV,CD,x); + if(type(CC)==1){ + VT = mycoef(mycoef(mycoef(P,DD,dx),CD,x),0,V)/CC; + if(VT != 0) P = mysubst(P,[V,V-VT]); + break; + } + if(X==x1) CD++; + else CD--; + } + while(subst(P,c,0,V,0) == 0) + P = red(mysubst(P,[V,c*V])/c); + } + VS =cdr(VS); + } + return P; +} + +def pgen(L,VV) +{ + if(type(L[0])<4) L=[L]; + if(type(L)==4) L=ltov(L); + K=length(L); + V=newvect(K); + if(type(Sum=getopt(sum))!=1) Sum=0; + if((Num=getopt(num))!=1) Num=0; + if((Sep=getopt(sep))!=1) Sep=0; + if(type(Shift=getopt(shift))!=1) Shift=0; + for(;;){ + for(PP=1,R=[],II=K-1; II>=0; II--){ + R=cons(V[II]+Shift,R); + if(II>0 && Sep==1) R=cons("_",R); + PP*=L[II][0]^V[II]; + } + P+=makev(cons(VV,R)|num=Num)*PP; + for(I=0;I<K;){ + if(++V[I]<=L[I][1]){ + if(Sum>0){ + for(S=II=0;II<K;) S+=V[II++]; + if(S>Sum){ + V[I++]=0; + continue; + } + } + }else{ + V[I++]=0; + continue; + } + break; + } + if(I>=K) return P; + } +} + +def diagm(M,A) +{ + return mgen(M,0,A,1); +} + +def mgen(M,N,A,S) +{ + if(M==0 && N==0){ + mycat([ +"mgen(m,n,a,s|sep=1) : generate a matrix of size m x n\n", +" n : a number or \"diagonal\", \"highdiag\", \"lowdiag\",\"skew\",\"symmetric\",\"perm\" = 0,-1,-2,..\n", +" a : a symbol or list (ex. a, [a], [a,b,c], [1,2,3])\n", +" s : 0 or 1 (shift of suffix)\n" + ]); + return 0; + } + if(type(N)==7) N=-findin(N,["diag","highdiag","lowdiag","skew","symmetric","perm"]); + Sep=(getopt(sep)==1)?1:0; + if(S < 0 || S > 2) + S = 0; + if(M+S > 30 || N+S > 30){ + erno(1); + return; + } + if(N==-5){ + NM=newmat(M,M); + for(I=0;I<M;I++,A=cdr(A)) NM[I][car(A)-S]=1; + return NM; + } + if(type(A) == 4) + L = length(A)-1; + else + L = -1; + if(N <= 0 && N >= -2){ + MM = newmat(M,M); + J = K = 0; + if(N == -1){ + K = 1; M--; + }else if(N == -2){ + J = 1; M--; + } + for(I = 0; I < M; I++){ + if(L >= 0) + MM[I+J][I+K] = A[(I > L)?L:I]; + else if(type(A)==7 || isvar(A)) + MM[I+J][I+K] = makev([A,S+I]|sep=Sep); + else + MM[I+J][I+K] = A; + } + return MM; + } + K = N; + if(K < 0) N = M; + MM = newmat(M,N); + for(I = 0; I < M; I++){ + if(L >= 0) + AA = rtostr(A[(I > L)?L:I]); + else + AA = rtostr(A)+rtostr(I+S); + if(AA>="0" && AA<=":"){ + erno(0); return; + } + for(J = 0; J < N; J++){ + if(K < 0){ + if(I > J) continue; + if(K == -3 && I == J) continue; + } + MM[I][J] = makev([AA,J+S]|sep=Sep); + } + } + if(K < 0){ + for(I = 0; I < M; I++){ + for(J = 0; J < I; J++) + MM[I][J] = (K == -4)?MM[J][I]:-MM[J][I]; + } + } + return MM; +} + +def newbmat(M,N,R) +{ + S = newvect(M); + T = newvect(N); + IM = length(R); + for(I = 0; I < IM; I++){ + RI = R[I]; + JM = length(RI); + for(J = 0; J < JM; J++){ + RIJ = RI[J]; + if(type(RIJ) == 6){ + S[I] = size(RIJ)[0]; + T[J] = size(RIJ)[1]; + } + } + } + for(I = K = 0; I < M; I++){ + if(S[I] == 0) + S[I] = 1; + K += S[I]; + } + for(J = L = 0; J < N; J++){ + if(T[J] == 0) + T[J] = 1; + L += T[J]; + } + M = newmat(K,L); + if(type(Null=getopt(null))>0){ + for(I=0;I<K;I++){ + for(J=0;J<L;J++) M[I][J]=Null; + } + } + for(I0 = II = 0; II < IM; I0 += S[II++]){ + RI = R[II]; + JM = length(RI); + for(J0 = JJ = 0; JJ < JM; J0 += T[JJ++]){ + if((RIJ = RI[JJ]) == 0) + continue; + Type = type(RIJ); + for(I = 0; I < S[II]; I++){ + for(J = 0; J < T[JJ]; J++){ + if(Type == 6) + M[I0+I][J0+J] = RIJ[I][J]; + else if(Type == 4 || Type == 5) + M[I0+I][J0+J] = (I>0)?RIJ[I]:RIJ[J]; + else + M[I0+I][J0+J] = RIJ; + } + } + } + } + return M; +} + +def unim(S) +{ + if(!Rand++) random(currenttime()); + if(!isint(Wt=getopt(wt))||Wt<0||Wt>10) Wt=2; + if(!isint(Xa=getopt(abs)) || Xa<1) + Xa=9; + if((Xaa=Xa)>10) Xaa=10; + if(Xaa%2) Xaa++; + Xh=Xaa/2; + if(type(S0=SS=S)==4){ + Int=(getopt(int)==1)?1:0; + U=[1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,4]; + M=newmat(S[0],S[1]); + SS=cdr(S);SS=cdr(SS); + if(Rk=length(SS)) L=SS; + else{ + L=[0]; + I=(S[0]>S[1])?S[1]:S[0]; + if(I<=2) return 0; + if(!isint(Rk=getopt(rank))||Rk<1||Rk>S[0]||Rk>S[1]) + Rk=random()%(I-1)+2; + for(I=1;I<Rk;){ + P=random()%(S[1]+Wt)-Wt; + if(P<=0) P=1; + if(findin(P,L)!=0){ + L=cons(P,L); + I++; + } + } + } + L=ltov(qsort(L)); + M[0][L[0]]=1; + for(I=1;I<Rk;I++){ + P=Int?1:U[random()%length(U)]; + if(P>Xa) P=Xa; + M[I][L[I]]=(random()%2)?P:(-P); + } + for(I=0;I<Rk;I++){ + if(I!=0&&abs(M[I][L[I]])>1) M[K=random()%I][KK=L[I]]=1; + I0=(I==0)?1:L[I]+1; + I1=(I==Rk-1)?S[1]:L[I+1]; + for(J=I0;J<I1;J++){ + for(K=1;K<=Xa;K++){ + P=random()%(I+1); + if((random()%2)==1) M[P][J]++; + else M[P][J]--; + } + } + } + S=M; + Res=(getopt(res)==1)?dupmat(S):0; + } + Conj=0; + if(type(S)<2){ + if(S<2||S>20) return 0; + if(getopt(conj)==1){ + M=S+Wt; + if(M>15) M=10; + M0=floor((M-1)/2); + for(R=[],I=0;I<S;I++) R=cons(random()%M-M0,R); + R=qsort(R); + M=diagm(S,R); + if(getopt(diag)!=1){ + for(I=1;I<S;I++) + if(M[I-1][I-1]==M[I][I] && random()%2) M[I-1][I]=1; + } + if(M[0][0]==M[S-1][S-1]){ + for(I=1;I<S;I++) if(M[I-1][I]==1) break; + if(I==S){ + if(M[0][0]>0) M[0][0]--; + else M[S-1][S-1]++; + } + } + if(getopt(res)==1) RR=diagm(S,[1]); + S1=S; + Res=dupmat(S=M); + if(isint(I=getopt(int))&&I>1&&random()%I==0){ + K=S[0][0];L=K+1; + for(I=1;I<S1;I++){ + if(S[I][I]>L && S[I-1][I]==0 && (I==S1-1||S[I][I+1]==0)){ + L=S[I][I]; + if(RR){ + RR[I][I]=L-K;RR[0][I]=1; + } + S[0][I]=1; + if(!(random()%3)) break; + } + } + if(random()%3==0){ + for(I=0;I<S1-1;I++){ + if(iand(S[I][I],1)&&S[I][I+1]==1){ + for(J=I+2;J<S1&&S[I][J]==0;J++); + if(J<S1) continue; + for(J=I-1;J>=0&&S[J][I]==0;J--); + if(J>=0) continue; + S[I][I+1]=2; + for(J=0;J<S1;J++) RR[I][J]*=2; + break; + } + } + } + } + }else{ + M=diagm(S,[1]); + S1=S; + } + } + if(type(S)==6){ + M=dupmat(S); + S=size(S); + S1=S[1];S=S[0]; + Nt=1; + if(getopt(conj)==1&&S==S1) Conj=1; + } + if(!isint(Ct=getopt(time))) + Ct=(S>3||S1>3)?100:200; + if(getopt(both)==1){ + OL=delopt(getopt(),"both"); + M=unim(mtranspose(M)|option_list=OL); + M=mtranspose(M); + } + Mx=20; + for(I=K=LL=0;I<Ct+Mx;I++){ + P=random()%S;Q=random()%S; + if(3*K>Ct) T=random()%Xaa-Xh; + else if(5*K<Ct) T=random()%2-1; + else T=random()%4-2; + if(T>=0) T++; + if(P==Q) continue; + for(G=0,J=S1-1;J>=0;J--){ + if((H=abs(M[Q][J]+M[P][J]*T))>Xa&&(!Conj||J!=P)) break; + if(K<Mx&&!Conj) G=igcd(G,H); + } + if(K<Mx && G>1) J=1; + if(J>0) continue; + if(J<0&&Conj==1){ + for(J=S1-1;J>=0;J--) + if(J!=Q&&abs(M[J][P]-M[J][Q]*T)>Xa) break; + if(J<0&&abs(M[Q][P]-M[Q][Q]*T+M[P][P]*T-M[P][Q]*T^2)>Xa) J=1; + if(J<0&&M[P][P]==M[Q][Q]){ + LF=0; + for(L=S1-1;J>=0;J--) if(L!=Q&&M[J][Q]!=0) LF++; + for(L=S1-1;J>=0;J--) if(L!=P&&M[P][J]!=0) LF++; + if(!LF) J=1; + } + } + if(J<0){ + for(J=S1-1;J>=0;J--) + M[Q][J]+=M[P][J]*T; + if(Conj==1) + for(J=S1-1;J>=0;J--) M[J][P]-=M[J][Q]*T; + if(RR) for(J=S1-1;J>=0;J--) RR[Q][J]+=RR[P][J]*T; + K++; + } + if(K%5==0){ + if(!Nt) M=mtranspose(M); + else if(!Conj&&K%2==0){ + for(F=0;F<S;F++){ + if((V=lgcd(M[F]))>1){ + for(L=0;L<S1;L++) M[F][L]/=V; + } + } + } + } + if(I>Ct){ + for(L=S-1;L>=0;L--){ + for(F=0,J=S1-1;J>=0;J--) + if(M[L][J]!=0) F++; + if(F<2){ + F=-1;break; + } + else F=0; + } + if(F<0 && LL++<5){ + I=(CT-CT%2)/2;K=1; + } + if(I>Ct) break; + } + } + if(RR){ + for(I=F=0;I<S1;I++){ + V=Res[I][I]; + for(J=I+1;J<S1;J++){ + if(Res[J][J]!=V) break; + for(LP=0;LP<2;LP++){ + if(J==S1-1||Res[J][J+1]==0){ + if(I==0||Res[I-1][I]==0){ + for(VL=VS=[],K=0;K<S1;K++){ + VL=cons(RR[K][J],VL);VS=cons(RR[K][I],VS); + } + VR=ldev(VL,VS); + if(VR[0]){ + for(K=S1-1,VN=VR[1];K>=0;K--,VN=cdr(VN)) + RR[K][J]=car(VN); + F=1; + } + } + } + K=I;I=J;J=K; + } + } + if(F&&I==S1-1){ + F=0;I=-1; + } + } + if(getopt(int)==1){ + N=mtranspose(M); + for(F=I=0;I<S1;I++) if(lgcd(M[I])>1||lgcd(N[I])>1) F++; + if(F){ + for(F=I=0;I<S1;I++){ + if(Res[I][I]==-1) F=ior(F,1); + else if(Res[I][I]==1) F=ior(F,2); + } + C=0; + if(!iand(F,1)) C=1; + else if(!iand(F,2)) C=-1; + if(C){ + for(I=0;I<S1;I++){ + M[I][I]+=C;Res[I][I]+=C; + } + } + } + } + if(getopt(rep)!=1){ + for(Lp=0;Lp<5;Lp++){ + F=(M==Res||abs(lmax(RR))>Xa*10||abs(lmin(RR))>Xa*10)?1:0; + for(I=0;!F&&I<S1&&Lp<4;I++){ + for(K=L=J=0;J<S1;J++){ + if(M[I][J]) K++; + if(M[J][I]) L++; + } + if(K<2||L<2) F=1; + } + if(!F) break; + R=unim(S0|option_list=cons(["rep",1],getopt())); + M=R[0];Res=R[1];RR=R[3]; + } + } + } + if(Res==0) return M; + if(RR){ + for(I=K=V=0;I<S1;I++){ + for(J=0;J<S1;J++){ + if(RR[J][I]>0) V++; + else if(RR[J][I]<0) V--; + } + if(I<S1-1&&Res[I][I+1]!=0) continue; + if(V<0){ + for(;K<=I;K++) RR=colm(RR,K,-1); + } + K=I+1;V=0; + } + } + if(getopt(rep)!=1){ + if((F=getopt(dviout))==1){ + if(getopt(conj)==1){ + if(RR) show([Res,"=",myinv(RR),M,RR]|opt="spts0",str=1,lim=200); + }else{ + if(type(Lim=getopt(lim))==1) + mtoupper(M,0|step=1,opt=7,dviout=1,pages=1,lim=Lim); + else mtoupper(M,0|step=1,opt=7,dviout=1,pages=1); + } + }else if(F==-1){ + if(getopt(conj)==1){ + if(RR) return ltotex([Res,"=",myinv(RR),M,RR]|opt="spts0",str=1,lim=200); + }else{ + if(type(Lim=getopt(lim))==1) + return mtoupper(M,0|step=1,opt=7,pages=1,lim=Lim,dviout=-1); + else return mtoupper(M,0|step=1,opt=7,pages=1,dviout=-1); + } + } + } + if(RR==0) return[M,Res]; + return [M,Res,myinv(RR),RR]; +} + +def pfrac(F,X) +{ + F = red(F); + FN = nm(F); + FD = dn(F); + if(mydeg(FD,X) == 0) + return [[F,1,1]]; + R = rpdiv(FN,FD,X); + FN = R[0]/R[1]; + R0 = R[2]/R[1]; + FC = fctr(FD); + RT=[]; + if(getopt(root)==2){ + for(FE=[],FT=FC;FT!=[];FT=cdr(FT)){ + if(mydeg(P=car(FT)[0],X)==4 && vars(P)==[X] && pari(issquare,C=mycoef(P,4,X))){ + if((S=mycoef(P,3,X)/4/C)!=0) P=subst(P,X,X-S); + if(mycoef(P,1,X)==0 && pari(issquare,C0=mycoef(P,0,X))){ + C=sqrtrat(C);C0=sqrtrat(C0);C1=2*C*C0-mycoef(P,2,X); + if(C1>0){ + FE=cons([C*(X+S)^2-C1^(1/2)*(X+S)+C0,car(FT)[1]],FE); + FE=cons([C*(X+S)^2+C1^(1/2)*(X+S)+C0,car(FT)[1]],FE); + RT=cons(C1,RT); + continue; + } + } + } + FE=cons(car(FT),FE); + } + FC=reverse(FE); + } + N = Q = 0; + L = []; + for(I = length(FC)-1; I >= 0; I--){ + if((D = mydeg(FC[I][0],X)) == 0) continue; + for(K=1; K<=FC[I][1]; K++){ + for(J=P=0; J < D; J++){ + V = makev(["zz_",++N]); + P = P*X + V; + L = cons(V,L); + } + Q += P/(FC[I][0]^K); + Q = red(Q); + } + } + L=reverse(L); + Q = nm(red(red(Q*FD)-FN)); + Q = ptol(Q,X); + S = lsol(Q,L); + R = (R0==0)?[]:[[R0,1,1]]; + for(N=0,I=length(FC)-1; I >= 0; I--){ + if((D = mydeg(FC[I][0],X)) == 0) continue; + for(K=1; K<=FC[I][1]; K++){ + for(P=J=0; J < D; N++,J++) + P = P*X + S[N][1]; + if(P!=0) R = cons([P,FC[I][0],K],R); + } + } + for(;RT!=[];RT=cdr(RT)){ + RTT=car(RT); + R=mtransbys(os_md.substblock,R,[RTT^(1/2),(RTT^(1/2))^2,RTT]); + } + TeX=getopt(TeX); + if((Dvi=getopt(dviout))==1||TeX==1){ + V=strtov("0"); + for(S=L=0,RR=R;RR!=[];RR=cdr(RR),L++){ + RT=car(RR); + S+=(RT[0]/RT[1]^RT[2])*V^L; + } + if(TeX!=1) fctrtos(S|var=[V,""],dviout=1); + else return fctrtos(S|var=[V,""],TeX=3); + } + return reverse(R); +} + +def cfrac(X,N) +{ + F=[floor(X)]; + if(N<0){ + Max=N=-N; + } + X-=F[0]; + if(Max!=1) + M=mat([F[0],1],[1,0]); + for(;N>0 && X!=0;N--){ + X=1/X; + F=cons(Y=floor(X),F); + X-=Y; + if(Max){ + M0=M[0][0];M1=M[1][0]; + M=M*mat([Y,1],[1,0]); + if(M[0][0]>Max) return M0/M1; + } + } + return (Max==0)?reverse(F):M[0][0]/M[1][0]; +} + +def sqrt2rat(X) +{ + if(type(X)>3) return X; + X=red(X); + if(getopt(mult)==1){ + for(V=vars(X);V!=[];V=cdr(V)){ + T=funargs(F=car(V)); + if(type(T)==4&&length(T)>1){ + Y=T[1]; + Z=sqrt2rat(Y); + if(Y!=Z){ + if(length(T)==2){ + T0=T[0]; + X=subst(X,F,T0(Z)); + }else if(T[0]==pow) + X=subst(X,F,Y^T[2]); + } + } + } + } + for(V=vars(X);V!=[];V=cdr(V)){ /* r(x)^(1/2+n) -> r(x)^n*r(x)^(1/2) */ + T=args(Y=car(V)); + if(functor(Y)==pow&&T[1]!=1/2&&isint(T2=2*T[1])){ + if(iand(T2,1)){ + R=(T[0])^(1/2);T2--; + }else R=1; + R*=T[0]^(T2/2); + X=red(subst(X,Y,R)); + } + } + D=dn(X);N=nm(X); + if(imag(D)!=0){ + N*=conj(D); + D*=conj(D); + return sqrt2rat(N/D); + } + for(V=vars(N);V!=[];V=cdr(V)){ /* (r(x)^(n/m))^k */ + T=args(Y=car(V)); + if(functor(Y)==pow&&(T[1]==0||(type(T[1])==1&&ntype(T[1])==0))){ + Dn=dn(T[1]);Nm=nm(T[1]); + N=substblock(N,Y,Y^Dn,T[0]^Nm); + } + } + for(V=vars(D);V!=[];V=cdr(V)){ + T=args(Y=car(V)); + if(functor(Y)==pow&&(T[1]==0||(type(T[1])==1&&ntype(T[1])==0))){ + Dn=dn(T[1]);Nm=nm(T[1]); + D=substblock(D,Y,Y^Dn,T[0]^Nm); + } + } + for(V=vars(D);V!=[];V=cdr(V)){ + T=args(Y=car(V)); + if(functor(Y)==pow&&T[1]==1/2&&mydeg(D,Y)==1){ + N*=mycoef(D,0,Y)-mycoef(D,1,Y)*Y; + N=mycoef(N,0,Y)+mycoef(N,1,Y)*Y+mycoef(N,2,Y)*T[0]; + D=mycoef(D,0,Y)^2-mycoef(D,1,Y)^2*T[0]; + X=red(N/D); + D=dn(X);N=nm(X); + break; + } + } + X=red(N/D); + D=dn(X);N=nm(X); + for(V=vars(D);V!=[];V=cdr(V)){ + T=args(Y=car(V)); + if(functor(Y)==pow&&T[1]==1/2) + D=substblock(D,T[0]^T[1],(T[0]^T[1])^2,T[0]); + } + for(V=vars(N);V!=[];V=cdr(V)){ + T=args(Y=car(V)); + if(functor(Y)==pow&&T[1]==1/2) + N=substblock(N,T[0]^T[1],(T[0]^T[1])^2,T[0]); + } + for(V=vars(N);V!=[];V=cdr(V)){ + T=args(Y=car(V)); + if(functor(Y)==pow&&T[1]==1/2){ + Ag=T[0]; + R=S=1; + An=fctr(nm(Ag)); + CA=An[0][0]; + if(CA<0){ + CA=-CA;R=-1; + } + if(type(I=sqrtrat(CA))<2) S=I; + else R*=CA; + for(An=cdr(An);An!=[];An=cdr(An)){ + Pw=car(An)[1];I=iand(Pw,1); + if(I) R*=car(An)[0]; + if((Q=(Pw-I)/2)>0) S*=car(An)[0]^Q; + } + for(An=fctr(dn(Ag));An!=[];An=cdr(An)){ + Pw=car(An)[1];I=iand(Pw,1); + if(I) R/=car(An)[0]^I; + if((Q=(Pw-I)/2)>0) S/=car(An)[0]^Q; + } + if(S!=1) N=subst(N,Y,R^(1/2)*S); + } + } + for(V=vars(N);V!=[];V=cdr(V)){ + T=args(Y=car(V)); + if(functor(Y)==pow&&T[1]==1/2){ + C=mycoef(N,1,Y); + for(VC=vars(C);VC!=[];VC=cdr(VC)){ + TC=args(YC=car(VC)); + if(functor(YC)==pow&&TC[1]==1/2){ + Ag=red(T[0]*TC[0]); + R=S=1; + An=fctr(nm(Ag)); + CA=An[0][0]; + if(CA<0){ + CA=-CA;R=-1; + } + if(type(I=sqrtrat(CA))<2) S=I; + else R*=CA; + for(An=cdr(An);An!=[];An=cdr(An)){ + Pw=car(An)[1];I=iand(Pw,1); + if(I) R*=car(An)[0]; + if((Q=(Pw-I)/2)>0) S*=car(An)[0]^Q; + } + for(An=fctr(dn(Ag));An!=[];An=cdr(An)){ + Pw=car(An)[1];I=iand(Pw,1); + if(I) R/=car(An)[0]^I; + if((Q=(Pw-I)/2)>0) S/=car(An)[0]^Q; + } + CC=mycoef(C,1,YC); + N=N-CC*YC*Y+CC*R^(1/2)*S; + } + } + } + } + return red(N/D); +} + +def cfrac2n(X) +{ + if(type(L=getopt(loop))==1&&L>0) + C=x; + else{ + C=0;L=0; + } + if(L>1){ + for(Y=[];L>1;L--){ + Y=cons(car(X),Y); + X=cdr(X); + } + if(X!=[]){ + P=cfrac2n(X|loop=1); + for(V=P,Y=reverse(Y);Y!=[];Y=cdr(Y)) + V=sqrt2rat(car(Y)+1/V); + return V; + }else{ + C=0;X=reverse(Y); + } + } + for(V=C,X=reverse(X);X!=[];X=cdr(X)){ + if(V!=0) V=1/V; + V+=car(X); + } + if(C!=0){ + V=red(V);P=dn(V)*x-nm(V); + S=getroot(P,x|cpx=2); + T=map(eval,S); + V=(T[0]>0)?S[0]:S[1]; + } + return V; +} + +def s2sp(S) +{ + if(getopt(short)==1){ + if(type(F=getopt(std))==1) S=s2sp(S|std=F); + if(type(S)!=7) S=s2sp(S); + L=strtoascii(S); + for(LS=[],F=C=0;L!=[];L=cdr(L)){ + if((G=car(L))!=F){ + LS=cons(G,LS);C=0; + }else if(C<3){ + LS=cons(G,LS); + }else if(C==3){ + LS=cdr(LS);LS=cdr(LS); + LS=cons(94,LS);LS=cons(52,LS); + }else if(C==9){ + LS=cdr(LS);LS=cons(97,LS); + }else{ + K=car(LS);LS=cdr(LS);LS=cons(K+1,LS); + } + C++;F=G; + } + return asciitostr(reverse(LS)); + } + if(type(F=getopt(std))==1){ + F=(F>0)?1:-1; + if(type(S)==7) S=s2sp(S); + for(L=[];S!=[];S=cdr(S)) + L=cons(os_md.msort(car(S),[-1,0]),L); + return os_md.msort(L,[F,2]); + } + if(type(S)==7){ + S = strtoascii(S); + if(type(S) == 5) S = vtol(S); + for(N=0,R=TR=[]; S!=[]; S=cdr(S)){ + if(car(S)==45) /* - */ + N=1; + else if(car(S)==47) /* / */ + N=2; + if(N>0){ + while(car(S)<48&&car(S)!=40) S=cdr(S); + } + if((T=car(S))>=48 && T<=57) TR=cons(T-48,TR); + else if(T>=97) TR=cons(T-87,TR); + else if(T>=65 && T<=90) TR=cons(T-29,TR); /* A-Z */ + else if(T==44){ + R=cons(reverse(TR),R); + TR=[]; + }else if(T==94){ /* ^ */ + S=cdr(S); + if(car(S)==40){ /* ( */ + S=cdr(S); + for(T=0; car(S)!=41 && S!=[]; S=cdr(S)){ + V=car(S)-48; + if(V>=10) V-=39; + T=10*T+V; + } + }else{ + while(car(S)<48) S=cdr(S); + T=car(S)-48; + if(T>=10) T-=39; + } + while(--T>=1) TR=cons(car(TR),TR); + }else if(T==40){ /* ( */ + S=cdr(S); + if(N==1){ + N=0; NN=1; + }else NN=0; + if(car(S)==45){ /* - */ + S=cdr(S); + NN=1-NN; + } + for(I=0; I<2; I++){ + for(V=0; (SS=car(S))!=41 && SS!=47 && S!=[]; S=cdr(S)){ + T=SS-48; + if(T>=10) T-=39; + V=10*V+T; + } + if(NN==1){ + V=-V; NN=0; + } + TR=cons(V,TR); + if(SS!=47) break; + else{ + N=2; S=cdr(S); + } + } + }else if(T==60){ + for(V=[],S=cdr(S);S!=[]&&car(S)!=62;S=cdr(S)) + V=cons(car(S),V); + if(car(S)!=62) continue; + TR=cons(eval_str(asciitostr(reverse(V))),TR); + }else if(T<48) continue; + if(N==1){ + T = car(TR); + TR=cons(-T,cdr(TR)); + N=0; + }else if(N==2){ + T=car(TR); TR=cdr(TR); + TR=cons(car(TR)/T,cdr(TR)); + N=0; + } + } + return reverse(cons(reverse(TR),R)); + }else if(type(S)==4){ + Num=getopt(num); + for(R=[]; ; ){ + if(type(TS=car(S))!=4) return; + for(; TS!=[]; TS=cdr(TS)){ + V=car(TS); + if(type(V)>1||(type(V)==1&&ntype(V)>0)){ + V="<"+rtostr(V)+">"; + R=append(reverse(strtoascii(V)),R); + continue; + } + if(dn(V)>1){ + P=reverse(strtoascii(rtostr(V))); + R=append(P,cons(40,R)); + R=cons(41,R); + continue; + } + if(V<0 && V>-10){ + V=-V; + R=cons(45,R); + } + if(V<0 || V>35 || (V>9 && Num==1)){ + P=reverse(strtoascii(rtostr(V))); + R=append(P,cons(40,R)); + V=41; + }else if(V<10) V+=48; + else V+=87; + R=cons(V,R); + } + if((S=cdr(S))==[]) break; + R=cons(44,R); + } + return asciitostr(reverse(R)); + } + return 0; +} + +def sp2grs(M,A,L) +{ + MM = []; + T0 = 0; + Mat=getopt(mat); + if(Mat!=1) Mat=0; + if(type(M)==7) M=s2sp(M); + if((LM = length(M)) > 10 && type(A) < 4) + CK = 1; + Sft = (type(L)==1)?L:0; + if(type(L)==4 && length(L)>=3) + Sft = L[2]; + if(Sft < 0){ + T0 = 1; + Sft = -Sft-1; + } + for(I = LM-1; I >= 0; I--){ + MI = M[I]; MN = []; + if(CK == 1 && length(MI) > 10){ + erno(1); + return; + } + if(type(A) == 4) + AA = rtostr(A[I]); + else + AA = rtostr(A)+rtostr(I); + for(J = LM = length(MI)-1; J >= 0; J--){ + V = MI[J]; + if(type(V) > 3) + V = V[0]; + if(T0 == 0 || I == 0) + MN = cons([V, makev([AA,J+Sft])], MN); + else{ + if(LM == 1) + MN = cons([V, (J==0)?0:makev([AA])], MN); + else if(I == 1 && Mat == 0) + MN = cons([V, (J==length(MI)-1)?0:makev([AA,J+Sft])], MN); + else + MN = cons([V, (J==0)?0:makev([AA,J])], MN); + } + } + MM = cons(MN, MM); + } + if(type(L) == 4 && length(L) >= 2){ + R = chkspt(MM|mat=Mat); /* R[3]: Fuchs */ + AA = var(MM[L[0]-1][L[1]-1][1]); + if(AA==0) AA=var(R[3]); + if(AA!=0 && (P = mycoef(R[3],1,AA))!=0){ + P = -mycoef(R[3], 0, AA)/P; + MM = mysubst(MM,[AA,P]); + } + } + return MM; +} + +def intpoly(F,X) +{ + if((T=ptype(F,X))<4){ + if(T<3){ /* polynomial */ + if(type(C=getopt(cos))>0){ + V=vars(F); + Z=makenewv(V); + W=makenewv(cons(Z,V)); + Q=intpoly(F,X|exp=Z); + Q=(subst(Q,Z,@i*C)*(Z+@i*W)+subst(Q,Z,-@i*C)*(Z-@i*W))/2; + return [mycoef(Q,1,Z),mycoef(Q,1,W)]; + } + if(type(C=getopt(sin))>0){ + Q=intpoly(F,X|cos=C); + return [-Q[1],Q[0]]; + } + if(type(C=getopt(log))>0){ + Q=intpoly(F,X); + if(C[0]==0) return [Q,0]; + if(length(C)<3) C=[C[0],C[1],1]; + Q-=subst(Q,X,-C[1]/C[0]); + if(iscoef(Q,os_md.israt)) Q=red(Q); + if(C[2]==0) return [Q]; + S=subst(-Q*C[0]*C[2],X,X-C[1]/C[0]); + for(R=0,D=mydeg(S,X);D>0;D--) R+=mycoef(S,D,X)*X^(D-1); + R=subst(R,X,X+C[1]/C[0]); + return cons(Q,intpoly(R,X|log=[C[0],C[1],C[2]-1])); + } + if(type(C=getopt(exp))>0){ + D = mydeg(F,X); + for(P=Q=F/C;D>=0;D--){ + Q=-mydiff(Q,X)/C; + P+=Q; + } + return P; + } + for(P=0,I=mydeg(F,X);I >= 0;I--) + P += mycoef(F,I,X)*X^(I+1)/(I+1); + return P; + } + R=pfrac(F,X|root=2); /* rational */ + for(P=0;R!=[];R=cdr(R)){ + if(type(V=getopt(dumb))==5){ + for(PF=[],RR=R;RR!=[];RR=cdr(RR)) + PF=cons(RR[0][0]/RR[0][1]^RR[0][2],PF); + PF=[cons(X,reverse(PF))]; + if(P) PF=cons([1,P],PF); + V[0]=cons(PF,V[0]); + } + RT=car(R); + if(mydeg(RT[1],X)==0) P+=intpoly(RT[0]*RT[2],X); + else if((Deg=mydeg(RT[1],X))==1){ + if(RT[2]>1) P+=RT[0]*RT[1]^(1-RT[2])/(1-RT[2])/mycoef(RT[1],1,X); + else P+=RT[0]*log(RT[1])/mycoef(RT[1],1,X); + P=red(P); + }else if(Deg==2){ + D1=diff(RT[1],X);C1=mycoef(D1,1,X); + B=2*C1*mycoef(RT[1],0,X)-mycoef(RT[1],1,X)^2; /* ax^2+bx+c => B=4ac-b^2 */ + B=sqrt2rat(B); + N=RT[0]; + for(I=RT[2];I>0&&N!=0;I--){ + C0=mycoef(N,1,X)/C1;N-=C0*D1; + if(C0){ + if(I>1) P-=C0/RT[1]^(I-1)/(I-1); + else P+=C0*log(RT[1]); + } + if(I>1){ + BB=B/C1; + P+=N*X/RT[1]^(I-1)/(I-1)/BB; + N*=(2*I-3)/(I-1)/BB; + }else{ + if(type(BR=sqrtrat(B))>3){ + mycat(["Cannot obtain sqare root of ",B]); + return []; + } + if(real(nm(BR))!=0){ + P+=(2*N/BR)*atan(sqrt2rat(D1/BR|mult=1)); + }else{ + BR*=@i;BRI=sqrt2rat(1/BR); + R1=(-mycoef(RT[1],1,X)+BR)/C1; + R2=(-mycoef(RT[1],1,X)-BR)/C1; + P+=N*BRI*log( /* sqrt2rat */((x-R1)/(x-R2))); + } + } + P=red(P); + } + P=sqrt2rat(P); + }else{ + mycat(["Cannot get an indefinite integral of ",F]); + return []; + } + } + Q=simplog(P,X); + if(type(V)==5&&nmono(P)!=nmono(Q)) V[0]=cons([[1,red(P)]],V[0]); + return red(Q); + } + return []; +} + +def fshorter(P,X) +{ + Q=sqrt2rat(P); + R=trig2exp(Q,X|inv=1); + if(str_len(fctrtos(R))<str_len(fctrtos(Q))) Q=R; + Var=pfargs(Q,X|level=1); + for(C=F=0,R=1,V=Var;V!=[];V=cdr(V)){ + if(findin(car(V)[1],[cos,sin,tan])>=0){ + if(!C){ + F=car(V)[2]; + }else{ + R=red(car(V)[2]/F); + if(type(R)!=1) break; + F/=dn(R); + } + C++; + } + } + if(getopt(period)==1) return F; + if(!isint(Log=getopt(log))) Log=0; + if(V==[]&&F!=0){ + if(iand(Log,1)){ + H=append(cdr(fctr(nm(Q))),cdr(fctr(dn(Q)))); + for(L=0;H!=[];H=cdr(H)) + L+=str_len(rtostr(car(H)[0])); + }else L=str_len(fctrtos(Q)); + S=trig2exp(P,X); + for(T=[sin(F),tan(F),cos(F),sin(F/2),cos(F/2),tan(F/2)];T!=[];T=cdr(T)){ + R=trig2exp(S,X|inv=car(T)); + if(iand(Log,1)){ + H=append(cdr(fctr(nm(R))),cdr(fctr(dn(R)))); + for(K=0;H!=[];H=cdr(H)) + K+=str_len(rtostr(car(H)[0])); + }else K=str_len(fctrtos(R)); + if(K<L){ + Q=R;L=K; + } + } + } + return Q; +} + +def isshortneg(P) +{ + return(str_len(rtostr(P))>str_len(rtostr(-P)))?1:0; +} + +def simplog(R,X) +{ + for(V=[],Var=pfargs(R,X);Var!=[];Var=cdr(Var)){ + VT=car(Var); + if(VT[1]==log && ptype(R,VT[0])==2 && mydeg(R,VT[0])==1) + V=cons([VT[0],VT[2],mycoef(R,1,VT[0])],V); + } + for(;V!=[];V=cdr(V)){ + VT=car(V); + for(V2=cdr(V);V2!=[];V2=cdr(V2)){ + Dn=1; + if((C=red(car(V2)[2]/VT[2]))!=1&&C!=-1){ + if(getopt(mult)==1&&type(C)==1&&ntype(C)==0){ + Dn=dn(C);C*=Dn; + }else continue; + } + Log=red(VT[1]^Dn*car(V2)[1]^(Dn*C)); + L=str_len(rtostr(dn(Log)))-str_len(rtostr(nm(Log))); + if(L>0 || (L==0&&isshortneg(VT[2])) ){ + Dn=-Dn;Log=1/Log; + } + R=mycoef(R,0,VT[0]);R=mycoef(R,0,car(V2)[0]); + return(R+VT[2]*log(Log)/Dn); + } + } + return R; +} + +def integrate(P,X) +{ + Dvi=getopt(dviout); + if(type(I=getopt(I))==4){ + if((R=integrate(P,X))==[]) II="?"; + else if(type(I[0])>3||type(I[1])>3){ + R=subst(R,X,x); + V=flim(R,I[0]);VV=flim(R,I[1]); + if(V==""||VV=="") II="?"; + else if(type(V)==7||type(VV)==7){ + if(V==VV) II="?"; + else II=(VV=="+"||V=="-")?"\\infty":"-\\infty"; + }else{ + II=VV-V; + if(II>10^10) II="\\infty"; + else if(II<-10^10) II="-\\infty"; + } + }else{ + V=subst(R,X,I[1])-subst(R,X,I[0]); + VV=myval(V); + II=(type(VV)>=2||ntype(VV)<1)?VV:evalred(V); + } + if(type(Dvi)!=1) return II; + I=ltov(I); + for(J=0;J<2;J++){ + if(type(I[J])>3){ + if(type(I[J])==4&&length(I[J])>1) I[J]=I[J][1]; + else I[J]=(J==0)?"-\\infty":"\\infty"; + } + if(type(I[J])<4) I[J]=my_tex_form(I[J]); + } + S=(type(II)==7)?II:my_tex_form(II); + S="\\int_{"+I[0]+"}^{"+I[1]+"}"+monototex(P)+"\\,d"+my_tex_form(X)+"&="+S; + if(Dvi==1) dviout(texbegin("align",S)); + return S; + } + if(isint(Dvi)==1){ + if(Dvi==2||getopt(dumb)==-1){ + V=newvect(1);V[0]=[]; + }else V=0; + if((RR=integrate(P,X|dumb=V))==[]) return R; + S=fshorter(RR,X); + VV=[X]; + if(V!=0){ + R=cons([[1,RR]],V[0]); + if(S!=RR) R=cons([[1,RR=S]],R); + for(V=FR=[];R!=[];R=cdr(R)) + if(car(R)!=FR) V=cons(FR=car(R),V); + Var=varargs(V|all=2); + for(S0=[x0,x1,x2,x3],S=[t,s,u,v,w];S0!=[]&&S!=[];){ + if(findin(car(S0),Var)<0){ + S0=cdr(S0); continue; + } + if(findin(car(S),Var)>=0){ + S=cdr(S); continue; + } + V=subst(V,[car(S0),car(S)]);S0=cdr(S0);S=cdr(S); + } + if(Dvi==-2) return V; + S1="\\,dx&"; + }else{ + V=[[],[[1,RR=S]]]; + S1="\\,dx"; + } + if(type(P)>2){ + if(type(nm(P))<2){ + P=P*dx;S1=V?"&":""; + } + S=fctrtos(P|TeX=2,lim=0);SV0=my_tex_form(P); + if(str_len(SV0)<str_len(S)) S=SV0; + }else S=monototex(P); + if(Dvi!=-2) S="\\int "+S+S1; + else S=""; + for(L=[],V=cdr(V);V!=[];V=cdr(V)){ + CL=car(V);S0=["="]; /* a line */ + for(FL=0;CL!=[];CL=cdr(CL),FL++){ + CT=car(CL); /* a term */ + if((Y=CT[0])==0){ /* a variable */ + CT=cdr(CT); + if(length(CT)>2) CT=cdr(CT); + S0=["\\qquad(",CT[0],"=",CT[1],")"]; + break; + }else{ + for(FT=0,S2=[],CT=cdr(CT);CT!=[];CT=cdr(CT),FT++){ + SV=fctrtos(car(CT)|TeX=2,lim=0);SV0=my_tex_form(car(CT)); + if(str_len(SV0)<str_len(SV)) SV=SV0; + if(FL||FT||(F&&type(Y)<2)) SV=minustos(SV); + S2=append(["+",SV],S2); + } + S2=reverse(cdr(S2)); + if(type(Y)>1){ + if(length(S2)>1){ + S1="\\int\\left(";S3="\\right)\\,d"; + }else{ + S1="\\int";S3="\\,d"; + } + S2=cons(S1,append(S2,[S3,Y])); + if(findin(Y,VV)<0) VV=cons(Y,VV); + } + if(FL) S0=append(S0,cons("+",S2)); + else S0=append(S0,S2); + } + } + L=append([S0],L); + }; + V=pfargs(RR,X|level=1); + for(Var=[];V!=[];V=cdr(V)) Var=cons(car(V)[0],Var); + Var=reverse(Var); + if(!isint(J=getopt(frac))) J=0;; + if(!iand(J,4)&&(!iand(J,2)||length(Var)==1)&&(iand(J,8)==8||ptype(RR,Var)==2)){ + F=1; + if(iand(J,1)){ + K=str_len(fctrtos(RR)); + I=str_len(fctrtos(RR|var=Var)); + if(I>=K) F=0; + } + if(F){ + V=[fctrtos(RR|var=Var,TeX=2)]; + if(Dvi!=-2) V=cons("=",V); + if(length(L)>0) L=cdr(L); + L=append([V],L); + } + }else if(ptype(RR,X)==2){ + L=cdr(L); + V=[fctrtos(RR|var=X,TeX=2)]; + if(Dvi!=-2) V=cons("=",V); + L=append([V],L); + } + S=texket(S+ltotex(reverse(L)|opt=["cr","spts0"],str=1)); + if(getopt(log)!=1){ + for(V=[];VV!=[];VV=cdr(VV)) + V=cons(strtoascii(my_tex_form(car(VV))),V); + S1=strtoascii("\\log"); + for(F=1;F;){ /* log(log(x)) */ + F=FT=0; + S0=strtoascii(S); /* log(x) -> log|x| */ + L=length(S0); + S2=str_tb(0,0); + for(I=0;;){ + if(I>=L||(J=str_str(S0,S1|top=I+FT))<0){ + S=str_tb(0,S2)+str_cut(S0,I,100000); + break; + } + if((K=str_str(S0,40|top=J+4))<0 + ||(K!=J+4&&K!=J+9)||(N=str_pair(S0,K+1,40,41))<0){ + FT=J-I+4;continue; + } + FT=0; + if(str_str(S0,V|top=K+1,end=N-1)[0]<0) S2=str_tb(str_cut(S0,I,N),S2); + else{ + /* log(a) -> log(a) */ + F=1; + if(N<L-1&&S0[N+1]==94){ /* log(x)^2 -> (log|x|)^2 */ + S2=str_tb([str_cut(S0,I,J-1),"\\left(",str_cut(S0,J,K-1), + "|",str_cut(S0,K+1,N-1),"|\\right)"],S2); + } + else S2=str_tb([str_cut(S0,I,K-1),"|",str_cut(S0,K+1,N-1),"|"],S2); + } + I=N+1; + } + } + } + if(Dvi>0){ + dviout(texbegin("align*",S)); + return 1; + } + return S; + } /* end of dviout */ + SM=["Cannot integrate",P,"at present"]; + P=sqrt2rat(P|mult=1); + Dumb2=1;Dumb3=0;W=newvect(1);W[0]=[]; + if(type(Dumb=getopt(dumb))==5){ + Dumb2=Dumb3=Dumb;D2=W; + }else if(!isint(Dumb)) Dumb=0; + if(Dumb==-1){ + Dumb2=Dumb3=-1; + } + if(type(Dumb)!=5) D2=Dumb2; + if(!isint(Mul=getopt(mult))) Mul=0; + else Mul++; + if(type(VAR=getopt(var))!=4) VAR=[]; + if(type(P)>4) return []; + if(iand(T=ptype(P=red(P),X),63)>3||Mul>4){ + if(Dumb!=1) mycat(SM); + return []; + } + if(Dumb==-1) mycat(["integrate", P]); + else if(type(Dumb)==5) Dumb[0]=cons([[X,P]],Dumb[0]); + if(T<4 && (T<3||iscoef(P,os_md.israt))){ + if(Dumb==-1) mycat(["rational function",P]); + else if(type(Dumb)==5) Dumb[0]=cons([[X,P]],Dumb[0]); + return intpoly(P,X|dumb=Dumb); /* rational function */ + } + Var=pfargs(P,X); + for(F=0,VV=Var;VV!=[];VV=cdr(VV)){ + /* p(x)*log(x^2-1), @e^x, a^x, f(x)^(m/n) etc.->simplify */ + V=car(VV); + if(V[1]==log && (T=ptype(V[2],X))>1 && T<4){ + if(mydeg(dn(V[2]),X)>0||mydeg(nm(V[2]),X)>1){ + FC=pfctr(V[2],X);RV=1; + if(length(FC)>2){ + RR=0;RV=1; + if((F0=car(FC)[0])!=1){ + if(type(F0)!=1 && F0<0){ + for(FT=cdr(FT);FT!=[];FT=cdr(FT)){ + if(iand(car(FT)[1],1)){ + RV=-1;F0=-F0;break; + } + } + } + } + if(F0!=1) RR=log(F0); + for(FC=cdr(FC);FC!=[];FC=cdr(FC)){ + if(RV==-1&&iand(car(FC)[1],1)==1){ + RR+=car(FC)[1]*log(-car(FC)[0]); + RV=1; + }else + RR+=car(FC)[1]*log(car(FC)[0]); + } + P=subst(P,V[0],RR); + F=1; + } + } + F=1; + }else if(V[1]==pow){ + if(ptype(V[2],X)==1){ + F=1; + if(V[2]==@e){ /* @e^(f(x)) */ + P=subst(P,V[0],exp(V[3])); + }else P=subst(P,V[0],exp(log(V[2])*V[3])); + }else if(type(V[3])<=1 && ntype(V[3])==0){ /* r(x)^(m/n) */ + if((Pw=floor(V[3]))!=0){ + R=V[2]^Pw; + if((PF=V[3]-Pw)!=0) R*=V[2]^PF; + P=subst(P,V[0],R); + F=1; + V=[V[2]^PF,V[1],V[2],PF]; + } + if(ptype(nm(V[2]),X)<2&&V[3]>0){ /* (1/p(x))^(m/n) */ + P=subst(P,V[0],V[2]*red(1/V[2])^(1-V[3])); + F=0;VV=cons(0,Var=pfargs(P,X));continue; + } + if(ptype(V[2],X)<4&&(K=dn(V[3]))>1){ + V2=red(V[2]); + DN=mydeg(nm(V2),X);DD=mydeg(dn(V2),X); + if(DN+DD>1){ + VF=pfctr(V2,X); + R=car(VF)[0]^(car(VF)[1]);RR=0; + for(VF=cdr(VF);VF!=[];VF=cdr(VF)){ + TV=car(VF);TM=TV[1]; + while(abs(TM)>=K){ + RR=1; + if(TM>0){ + TM-=K; + RR*=TV[0]^nm(V[3]); + }else{ + TM+=K; + RR/=TV[0]^nm(V[3]); + } + } + if(TM!=0) R*=TV[0]^TM; + } + if(RR){ + P=subst(P,V[0],RR*red(R)^(V[3]));F=1; + F=0;VV=cons(0,Var=pfargs(P,X));continue; + } + } + } + } + } + } + if(F){ + P=sqrt2rat(P|mult=1); + Var=pfargs(P=red(P),X);T=ptype(P,X); + if(T<4 && (T<3||iscoef(P,os_md.israt))){ + if(Dumb==-1) mycat(["rational function",P]); + else if(type(Dumb)==5){ + Dumb[0]=cons([[X,P]],Dumb[0]); + return intpoly(P,X|dumb=Dumb3); + } + return intpoly(P,X); /* rational function */ + } + } +#if 1 + for(P0=P,V=pfargs(P,X|level=1);V!=[];V=cdr(V)) /* P:tan(x) -> P0:sin(x)/cos(x) */ + if(car(V)[1]==tan) P0=red(subst(P0,car(V)[0],sin(car(V)[2])/cos(car(V)[2]))); + if(iand(ptype(P0,X),128)){ /* (log f)'=f'/f */ + for(Df=cdr(fctr(dn(P0)));Df!=[];Df=cdr(Df)){ + if(!iand(ptype(car(Df)[0],X),64)) continue; + Q=car(Df)[0]^(car(Df)[1]);QQ=red(dn(P0)/Q); + DQ=red(diff(Q,X)*QQ); + if(type(C=DQ/nm(P0))<2&&C!=0){ + PP=0;DN=[1]; + }else for(DN=cdr(fctr(DQ));DN!=[];DN=cdr(DN)){ + Y=car(DN)[0]; + if(!iand(ptype(Y,X),64)||(I=mydeg(nm(P0),Y))!=mydeg(DQ,Y) + || ptype((C=red(mycoef(nm(P0),I,Y)/mycoef(DQ,I,Y))),X)>1||C==0) continue; + PP=red(P0-C*diff(Q,X)/Q); + if(nmono(P0)>nmono(PP)) break; + } + if(DN!=[]){ + R=C*log(Q); + if(PP==0){ + if(P!=P0&&type(Dumb)==5) Dumb[0]=cons([[X,P0]],Dumb[0]); + return R; + } + W[0]=[]; + S=integrate(PP,X|dumb=D2); + if(S!=[]){ + if(type(Dumb)==5){ + Dumb[0]=cons([[X,red(P0-PP),PP]],Dumb[0]); + TD=W[0]; + for(W0=[],TD=reverse(TD);TD!=[];TD=cdr(TD)){ + if(car(TD)[0][0]){ + WL=cons([1,R],car(TD)); + Dumb[0]=cons(WL,Dumb[0]); + } + else Dumb[0]=cons(car(TD),Dumb[0]); + } + } + return red(R+S); + } + } + } + } +#endif + if((length(Var)==1||getopt(exe)==1) && /* p(x)*atan(q(x))^m+r(x), etc */ + findin((VT=car(Var))[1],[atan,asin,acos,log])>=0 && ptype(P,VT[0])==2 && + (VT[1]!=log||(T!=65&&T!=66)||mydeg(VT[2],X)!=1)){ /* exclude x*log(x+1)^2 */ + for(R=0,D=mydeg(P,VT[0]);D>=0;D--){ + Q=S=mycoef(P,D,VT[0]); + if(S){ + if(D>0){ + if((Q=integrate(S,X|mult=Mul))==[]) return Q; + }else{ + W[0]=[]; + if((Q=integrate(S,X|dumb=D2,var=VAR,mult=Mul))==[]) return Q; + if(type(Dumb)==5){ + TD=W[0]; + for(W0=[],TD=reverse(TD);TD!=[];TD=cdr(TD)){ + if(car(TD)[0][0]){ + WL=cons([1,R],car(TD)); + Dumb[0]=cons(WL,Dumb[0]); + } + else Dumb[0]=cons(car(TD),Dumb[0]); + } + if(car(Dumb[0])!=[[1,R],[1,Q]]) + Dumb[0]=cons([[1,R,Q]],Dumb[0]); + } + return red(R+Q); + } + }else if(D>0) continue; + if(D==0){ + if(Q!=0&&type(Dumb)==5) Dumb[0]=cons([[1,R,Q]],Dumb[0]); + return red(Q+R); + } + R0=Q*VT[0]^D; + P=(P0=P)-S*VT[0]^D-Q*diff(VT[0]^D,X); + if(mydeg(P,VT[0])>=D){ /* (x+1)*log(x)/x^2 */ + if(mydeg(P,VT[0])==D && + ptype(C=red(mycoef(P,D,VT[0])/diff(VT[0],X)),VT[0])<2){ + P=P0-(S*VT[0]^D+Q*diff(VT[0]^D,X)+C*diff(VT[0]^(D+1),X)/(D+1)); + R0+=C*VT[0]^(D+1)/(D+1); + }else{ + P=P0; + if(Dumb!=1) mycat(SM); + return []; + } + } + if(type(Dumb)==5){ + if(P) Dumb[0]=cons([R?[1,R,R0]:[1,R0],[X,P]],Dumb[0]); + else if(R!=0) Dumb[0]=cons([[1,R,R0]],Dumb[0]); + } + R+=R0; + } + } + if(length(Var)==1 && (VT=car(Var))[1]==pow && mydeg(P,VT[0])==1 && (PT=ptype(VT[2],X))<4){ + PR=mycoef(P,0,VT[0]); + if(RR!=0){ + RR=integrate(RR,X|dumb=Dumb3,var=Var); + if(RR==[]) return RR; + } + PW=VT[3]; + if((D=mydeg(nm(V2=VT[2]),X))==2&&PT==2){ /* f(x)*(ax^2+bx+c)^(m/2)+r(x) */ + if(isint(2*PW)){ + C2=mycoef(V20=V2,2,X);F=1; + if((C21=sqrtrat(C2))==[]) return []; + if(imag(C21)!=0){ + if(real(C21)!=0) return []; + C21=C21/@i;F=-1; + } + if(type(C21)>3) return []; + P=subst(P,X,X/C21);VT=mysubst(VT,[X,X/C21]);V2=VT[2]; + C1=mycoef(V2,1,X)/F/2; + if(C1!=0){ + P=subst(P,X,X-C1);VT=mysubst(VT,[X,X-C1]);V2=VT[2]; + } + C0=mycoef(V2,0,X); + if((C01=sqrtrat(C0))==[]) return []; + if(imag(nm(C01))!=0){ + if(real(nm(C01))!=0) return []; + C01=C01/@i;G=-1; + }else G=1; + if(type(C01)>3||(F==-1&&G==-1)) return []; + Y=makenewv([P,VAR]|var=x); + if(F==-1){ /* (c^2-x^2)^(1/2) */ + Q=subst(P,VT[0],(C01*cos(Y))^(2*PW),X,YX=C01*sin(Y)) + *C01*cos(Y)/C21; + SY=(C21*X+C1);CY=V20;YY=asin(sqrt2rat((C21*X+C1)/C01|mult=1)); + }else if(G==-1){ /* (x^2-c^2)^(1/2) */ + Q=subst(P,VT[0],(C01*sin(Y)/cos(Y))^(2*PW),X,YX=C01/cos(Y)) + *C01*sin(Y)/cos(Y)^2/C21; + SY=V20;CY=1/(C21*X+C1);YY=acos(sqrt2rat(C01*(C21*X+C1)|mult=1)); + }else{ /* (x^2+c^2)^(1/2) */ + Q=subst(P,VT[0],(C01/cos(Y))^(2*PW),X,YX=C01*sin(Y)/cos(Y)) + *C01/cos(Y)^2/C21; + CY=V20; YY=atan(sqrt2rat((C21*X+C1)/C01|mult=1)); + } + if(Dumb==-1) mycat([C21*X+C1,"=",YX]); + else if(type(Dumb)==5) Dumb[0]=cons([[0,Y,C21*X+C1,YX]],Dumb[0]); + Q=sqrt2rat(Q); + QQ=red(substblock(nm(Q),sin(Y),sin(Y)^2,1-cos(Y)^2) + /substblock(dn(Q),sin(Y),sin(Y)^2,1-cos(Y)^2)); + if(cmpsimple(QQ,Q|comp=2)<0) Q=QQ; + QQ=red(substblock(nm(Q),cos(Y),cos(Y)^2,1-sin(Y)^2) + /substblock(dn(Q),cos(Y),cos(Y)^2,1-sin(Y)^2)); + if(cmpsimple(QQ,Q|comp=2)<0) Q=QQ; + if((Q=integrate(Q,Y|dumb=Dumb2,var=cons(X,Var)))==[]) return []; + Q=trig2exp(Q,Y|inv=cos(Y)); + for(V=vars(Q);V!=[];V=cdr(V)){ + FA=funargs(car(V)); + if(type(FA)==4&&FA[0]==log){ + QQ=trig2exp(FA[1],Y|inv=cos(Y)); + Q=mycoef(Q,0,car(V))+mycoef(Q,1,car(V))*log(QQ); + } + } + if(type(Dumb)==5) Dumb[0]=cons([[1,Q]],Dumb[0]); + if(F==-1) Q=subst(Q,sin(Y),SY/C01,cos(Y),CY^(1/2)/C01,Y,YY); + else if(G==-1){ + Q=red(subst(Q,sin(Y),SY^(1/2)*cos(Y)/C01)); + Q=red(subst(Q,cos(Y),C01*CY,Y,YY)); + }else{ + Q=red(subst(Q,sin(Y),(C21*X+C1)*cos(Y)/C01)); + Nm=substblock(nm(Q),cos(Y),C01^2/CY,cos(Y)^2); + Nm=subst(Nm,cos(Y),C01/CY^(1/2)); + Dn=substblock(dn(Q),cos(Y),C01^2/CY,cos(Y)^2); + Dn=subst(Dn,cos(Y),C01/CY^(1/2)); + Q=red(subst(Nm/Dn,Y,YY)); + } + if(findin(Y,vars(Q))>=0) return []; + for(R=[],Var=vars(Q);Var!=[];Var=cdr(Var)){ + VT=funargs(V=car(Var)); + if(type(VT)==4&&VT[0]==log&&ptype(VT[1],X)>60&&mydeg(Q,V)==1) + R=cons([mycoef(Q,1,V),V],R); + } + if(length(R)==2 && (R[0][0]==R[1][0]||R[0][0]+R[1][0]==0)){ + R0=args(R[0][1])[0];R1=args(R[1][1])[0]; + if(R[0][0]==R[1][0]) S=R0*R1; + else S=R1/R0; + Q=mycoef(Q,0,R[0][1]);Q=mycoef(Q,0,R[1][1]); + Q+=R[1][0]*log(red(S)); + } + for(Var=vars(Q);Var!=[];Var=cdr(Var)){ + VT=funargs(car(Var)); + if(type(VT)==4&&VT[0]==log&&ptype(VT[1],X)>60){ + S=trig2exp(VT[1],X|inv=cos(X),arc=1); + if(ptype(dn(S),X)<2 && mydeg(Q,car(Var))==1 + && ptype(mycoef(Q,1,car(Var)),X)<2){ + S=nm(S); + SF=fctr(S); + S/=SF[0][0]; + } + if(cmpsimple(S,-S)>0) S=-S; + Q=subst(Q,car(Var),log(S)); + } + } /* x/(1-x^2)^(1/2) */ + if(type(Q=red(Q+RR))==2&&type(Dumb)!=5) Q-=cterm(Q); + if(Dumb==-1) mycat(["->",Q]); + else if(type(Dumb)==5) Dumb[0]=cons([[1,Q]],Dumb[0]); + return Q; + } + }else if(D==1 && mydeg(Dn=dn(V2),X)<2 && type(PW)==1 && ntype(PW)==0 && + (V2!=X||ptype(mycoef(P,1,VT[0]),X)>2)){ /* p(x)((ax+b)/(cx+d))^(m/n) */ + PN=nm(PW);PD=dn(PW); + Y=makenewv([P,VAR]|var=x);Q=Y^PD*Dn-nm(V2);F=-mycoef(Q,0,X)/mycoef(Q,1,X); + Q=red(subst(P,VT[0],Y^PN,X,F)*diff(F,Y)); + if(Dumb==-1) mycat([Y,"=",V2^(1/PD)]); + else if(type(Dumb)==5) Dumb[0]=cons([[0,Y,V2^(1/PD)]],Dumb[0]); + if((Q=integrate(Q,Y|dumb=Dumb3,var=cons(X,Var)))==[]) return []; + Q=red(Q); + QN=subst(substblock(nm(Q),Y,Y^PD,V2),Y,V2^(1/PD)); + QD=subst(substblock(dn(Q),Y,Y^PD,V2),Y,V2^(1/PD)); + Q=red(QN/QD+RR); + if(Dumb==-1) mycat(["->",Q]); + else if(type(Dumb)==5) Dumb[0]=cons([[1,Q]],Dumb[0]); + return Q; + } + }else if(length(Var)==2 && /* r(x,(ax+b)^(1/2),(cx+d)^(1/2)) */ + (VT=car(Var))[1]==pow && ptype(VT[2],X)==1 && mydeg(VT[2],X)==1 && VT[3]==1/2 && + (VS=car(car(Var)))[1]==pow && ptype(VS[2],X)==1 && mydeg(VS[2],X)==1 && VS[3]==1/2){ + Y=makenewv([P,VAR]|var=x);R=(Y^2-myceof(VS[0],0,X))/(C=mycoef(VS[0],1,X)); + if(Dumb==-1) mycat([Y,"=",VS[0]]); + else if(type(Dumb)==5) Dumb[0]=cons([[0,Y,VD[0]]],Dumb[0]); + R=integrate(subst(P,VS[0],Y,X,R)*2*Y/C,Y|dumb=Dumb3,var=cons(X,Var)); + if(R!=[]){ + R=subst(substblock(R,Y,VS[0],Y^2),Y,VS[0]); + if(Dumb==-1) mycat(["->",R]); + else if(type(Dumb)==5) Dumb[0]=cons([[1,R]],Dumb[0]); + } + return R; + } + if(T==65||T==66){ /* polynomial including sin, exp etc */ + for(F=0,VT=Var;VT!=[];VT=cdr(VT)){ + VTT=car(VT); + if(ptype(VTT[2],X)>2||mydeg(VTT[2],X)>1) F=ior(F,256); /* compos. or rat. or nonlin. */ + K=findin(VTT[1],[cos,sin,tan,exp,log,pow]); + F=ior(F,2^(K+1)); /* 1:other,2:cos,4:sin,8:tan,16:exp,32:log,64:pow */ + if((Deg=mydeg(P,VTT[0]))>1&&K!=4) F=ior(F,1024); /* nonlinear */ + if(K==5 && (ptype(VTT[3],X)!=0 || VTT[2]!=x||Deg>1)) F=ior(F,8192); /* pow */ + for(;Deg>0;Deg--){ /* coef */ + if(ptype(mycoef(P,Deg,VTT[0]),X)>2){ + if(K==4||K==5) F=ior(F,2048); /* exp, log */ + else F=ior(F,4096); + } + } + } + if(!iand(F,1+8+64+256+512+2048+8192)){ /* cos,sin,exp,log^n,x^c */ + if(iand(F,1024+4096)&&!iand(F,32+64)){ /* cos,sin,exp */ + if(type(Dumb)==5){ + S=trig2exp(P,X|inv=1); + if(P!=S) Dumb[0]=cons([[X,S]],Dumb[0]); + } + R=integrate(trig2exp(P,X),X); + if(R!=[]) S=trig2exp(R,X|inv=1); + R=fshorter(S,X); + if(type(Dumb)==5&&R!=S){ + Dumb[0]=cons([[1,S]],Dumb[0]); + } + return R; + } + for(R=0,VT=Var;VT!=[];VT=cdr(VT)){ + CV=car(VT); + C0=mycoef(CV[2],0,X);C1=mycoef(CV[2],1,X); + Q=mycoef(P,1,CV[0]); + if(CV[1]==sin||CV[1]==cos){ + TR=(CV[1]==sin)?intpoly(Q,X|sin=C1):intpoly(Q,X|cos=C1); + R+=TR[0]*cos(CV[2])+TR[1]*sin(CV[2]); + }else if(CV[1]==exp){ + QT=exp(CV[2]); + for(V2=vars(C1);V2!=[];V2=cdr(V2)){ /* exp(2*log(a)*x) => a^(2*x) */ + if(vtype(VA=car(V2))==2&&functor(VA)==log){ + if(ptype(C1,VA)!=2||mydeg(C1,VA)==1&&mycoef(C1,0,VA)==0){ + QT=args(VA)[0]^(red(C1/VA)*X); + if(C0!=0) QT*=exp(C0); + break; + } + } + } + R+=intpoly(Q,X|exp=C1)*QT; + }else if(CV[1]==pow) + R+=intpoly(Q,X|pow=CV[2])*x^CV[2]; + else if(CV[1]==log){ + for(Deg=mydeg(P,CV[0]);Deg>0; Deg--){ + Q=mycoef(P,Deg,CV[0]); + TR=intpoly(Q,X|log=[C1,C0,Deg]); + for(I=0;TR!=[];I++,TR=cdr(TR)){ + if(I==Deg) R+=car(TR)-subst(car(TR),X,0); + else R+=car(TR)*CV[0]^(Deg-I); + } + } + } + P=mycoef(P,0,CV[0]); + } + R+=intpoly(P,X); + return R; + } + } + for(K=0,VX=[],VT=Var;VT!=[];VT=cdr(VT)){ /* contain only both pow and trig */ + VTT=car(VT); + if(findin(VTT[1],[cos,sin,tan])>=0){ + if(ptype(VTT[2],X)!=2||mydeg(VTT[2],X)!=1) break; + VX=cons(VTT,VX); + }else if(VTT[1]==pow) K=1; + else break; + } + if(VT==[]&&K==1&&VX!=[]){ + D=VX[0][2]; + if(VX[0][1]==tan) D*=2; + for(VT=cdr(VX);VT!=[];VT=cdr(VT)){ + K=VT[0][2]/D; + if(VT[0][1]==tan) K*=2; + if(type(K)!=1||ntype(K)!=0) break; + D/=dn(K); + } + if(VT==[]){ + Y=makenewv([P,VAR]|var=x); + for(Q=P,VT=VX;VT!=[];VT=cdr(VT)){ + VTT=car(VT); + if(VTT[1]==cos||VTT[1]==sin){ + VV=trig2exp(VTT[0],X|inv=cos(D)); + VV=subst(VV,cos(D),(1-Y^2)/(1+Y^2),sin(D),2*Y/(Y^2+1)); + }else if(VTT[1]==tan){ + VV=trig2exp(VTT[0],X|inv=tan(D/2)); + VV=subst(VV,tan(D),Y); + } + Q=subst(Q,VTT[0],VV); + } + Q*=2/(Y^2+1); + if(diff(Q,X)==0){ + if(Dumb==-1) mycat([Y,"=",tan(D/2)]); + else if(type(Dumb)==5) Dumb[0]=cons([[0,Y,tan(D/2)]],Dumb[0]); + R=integrate(Q,Y|dumb=Dumb2,var=cons(X,Var)); + if(R!=[]){ + if(Dumb==-1) mycat(["->",R]); + else if(type(Dumb)==5) Dumb[0]=cons([[1,R]],Dumb[0]); + return sqrt2rat(subst(R,Y,tan(D/2))|mult=1); + } + } + } + } + if(T>65||iand(F,8)){ /* rational for functions or tan */ + if(findin(X,vars(P))<0){ + for(XV=XE=0,VT=Var;VT!=[];VT=cdr(VT)){ + VTT=car(VT); + if(mydeg(VTT[2],X)!=1) break; + if(VTT[1]==cos||VTT[1]==sin||VTT[1]==tan){ + K=red(VTT[2]/X); + if(type(K)>1||ntype(K)>0) break; + if(XV==0) XV=K; + else XV/=dn(K/XV); + if(VTT[1]==tan) P=red(subst(P,VTT[0],sin(VTT[2])/cos(VTT[2]))); + }else if(VTT[1]==exp){ + K=red(VTT[2]/X); + if(type(K)>1||ntype(K)>0) break; + if(XE==0) XE=K; + else XE/=dn(K/XE); + }else break; + } + if(VT==[]&&XE*XV==0){ + if(XE){ + if(XE<0) XE=-XE; + Y=makenewv([P,VAR]|var=x); + for(F=0,VT=Var;VT!=[];VT=cdr(VT),F++){ + VTT=car(VT);C=red(VTT[2]/X/XE); + P=subst(P,VTT[0],Y^C); + if(!F){ + if(Dumb==-1) mycat([Y^C,"=",VTT[0]]); + else if(type(Dumb)==5) Dumb[0]=cons([[0,Y^C,VTT[0]]],Dumb[0]); + } + } + P/=XE*Y; + Q=integrate(P,Y|dumb=Dumb3,var=cons(X,VAR)); + if(Q==[]) return []; + Q=subst(Q,Y,exp(XE*X)); + Q=trig2exp(Q,X); + if(Dumb==-1) mycat(["->",Q]); + else if(type(Dumb)==5) Dumb[0]=cons([[1,Q]],Dumb[0]); + return Q; + } + P=trig2exp(nm(P),X|inv=cos(XV*X))/trig2exp(dn(P),X|inv=cos(XV*X)); + Y=makenewv([P,VAR]|var=x); + Q=red(subst(P,sin(XV*X),Y*cos(XV*X))); + Q=substblock(nm(Q),cos(XV*X),cos(XV*X)^2,1/(Y^2+1))/ + (substblock(dn(Q),cos(XV*X),cos(XV*X)^2,1/(Y^2+1))*(Y^2+1)); + Q=red(Q); + if(ptype(Q,X)<2){ + XV*=2;P=Q; + }else{ + P=subst(P,cos(XV*X),(1-Y^2)/(1+Y^2),sin(XV*X),2*Y/(1+Y^2))*2/K/(1+Y^2); + P=red(P); + } + if(Dumb==-1){ + mycat([Y,"=",tan(XV*X/2)]); + mycat(["integrate",P]); + }else if(type(Dumb)==5) Dumb[0]=cons([[Y,P]],cons([[0,Y,tan(XV*X/2)]],Dumb[0])); + R=intpoly(P,Y|dumb=Dumb); + if(R==[]) return R; + if(Dumb==-1) mycat(["->",R]); + else if(type(Dumb)==5) Dumb[0]=cons([[1,R]],Dumb[0]); + for(Log=1,K=0,Var=pfargs(RR=R,Y);Var!=[];Var=cdr(Var)){ + VTT=car(Var); + if(VTT[1]==log){ + C=mycoef(R,1,VTT[0]); + VT2=VTT[2]; + if(K==0){ + K=C;Log=VT2; + if(K<0){ + K=-K;Log=1/Log; + } + }else{ + if((V=red(C/K))<0){ + VT2=1/VT2;V=-V; + } + if(type(V)>1||ntype(V)>0){ + Log=1;break; + } + if(isint(V)) Log*=VT2^V; + else{ + D=dn(V);K/=D; + Log=Log^D*VT2^nm(V); + } + } + RR=mycoef(RR,0,VTT[0]); + } + } + if(Log!=1){ + R=RR; + if(type(Dumb)==5){ + if(RR) Dumb[0]=cons([[1,K*log(Log),RR]],Dumb[0]); + else Dumb[0]=cons([[1,K*log(Log)]],Dumb[0]); + } + Log=red(subst(red(Log),Y,sin(XV*X/2)/cos(XV*X/2))); + Log=fshorter(Log,X|log=1); /* log(cos(2*x)+1)=-2*log(cos(x)) */ + Nm=fctr(nm(Log)); + for(T=[];Nm!=[];Nm=cdr(Nm)){ + if(ptype(car(Nm)[0],X)>1) T=cons(car(Nm),T); + } + Nm=fctr(dn(Log)); + for(;Nm!=[];Nm=cdr(Nm)){ + if(ptype(car(Nm)[0],X)>1) T=cons([car(Nm)[0],-car(Nm)[1]],T); + } + for(I=0,Nm=T;T!=[];T=cdr(T)){ + if(I=0) I=abs(car(T)[1]); + else I=igcd(I,car(T)[1]); + } + for(Log=1;Nm!=[];Nm=cdr(Nm)) Log*=car(Nm)[0]^(car(Nm)[1]/I); + K*=I; + if(cmpsimple(nm(Log),dn(Log))<0){ + K=-K;Log=red(1/Log); + } + Log=K*log(Log); + if(type(Dumb)==5){ + if(RR) Dumb[0]=cons([[1,Log,RR]],Dumb[0]); + else Dumb[0]=cons([[1,Log]],Dumb[0]); + } + }else Log=0; + for(Atan=0,Var=pfargs(RR=R,Y);Var!=[];Var=cdr(Var)){ + VTT=car(Var); + if(VTT[1]==atan){ + W=subst(VTT[2],Y,sin(XV*X/2)/cos(XV*X/2)); + W=trig2exp(W,X|inv=1); + V2=funargs(dn(W)); + if(type(V2)==4&&length(V2)==2){ + V3=V2[1]*mycoef(R,1,VTT[0]); + Z=0; + if(V2[0]==cos) + Z=red(W*cos(V2[1])/sin(V2[1])); + else if(V2[0]==sin){ + Z=red(W*sin(V2[1])/cos(V2[1])); + V3=-V3; + } + if(Z==1){ + Atan+=V3;W=0; + }else if(Z==-1){ + Atan-=V3;W=0; + } + } + R0=mycoef(R,0,VTT[0]); + if(W!=0) Atan+=subst(R-R0,VTT[0],atan(W)); /* atan(W); */ + R=R0; + } + } + if(R!=0){ + R=subst(R,Y,sin(XV*X/2)/cos(XV*X/2)); + R=red(R); + R=trig2exp(nm(R),X|inv=1)/trig2exp(dn(R),X|inv=1); + } + if(type(Dumb)==5){ + F=0;WL=[]; + if(R){ + WL=cons(R,WL); + F++; + } + if(Atan){ + WL=cons(Atan,WL); + F++; + } + if(Log){ + WL=cons(Log,WL); + F++; + } + WL=cons(1,WL); + if(F>1) Dumb[0]=cons([WL],Dumb[0]); + } + R=red(R+Log+Atan); + if(Dumb==-1) mycat(["->",R]); + else if(type(Dumb)==5) Dumb[0]=cons([[1,R]],Dumb[0]); + return fshorter(R,X); + } + } + } + VT=pfargs(Q=P,X|level=1); + V=(iand(ptype(P,X),7)<3)?[X]:[]; + for(;VT!=[];VT=cdr(VT)) + if(ptype(P,car(VT)[0])<3) V=cons(car(VT)[0],V); + if(length(V)>0){ /* 1/x+tan(x)+... etc.: sums */ + for(R=0;V!=[];V=cdr(V)){ + T=mycoef(Q,0,car(V)); + W[0]=[]; + S=integrate(TD=red(Q-T),X|dumb=D2,mult=Mul,exe=1); + if(S==[]) continue; + if(type(Dumb)==5){ + WL=0; + if(T!=0) WL=[[X,TD,T]]; + if(R!=0) WL=cons([1,R],WL); + if(WL) Dumb[0]=cons(WL,Dumb[0]); + TD=W[0]; + if(R!=0||T!=0){ + for(W0=[],TD=reverse(TD);TD!=[];TD=cdr(TD)){ + if(car(TD)[0][0]){ + WL=(!T)?[]:[[X,T]]; + WL=append(car(TD),WL); + if(R!=0) WL=cons([1,R],WL); + }else WL=car(TD); + Dumb[0]=cons(WL,Dumb[0]); + } + }else Dumb[0]=append(TD,Dumb[0]); + } + R+=S;Q=T; + if(!Q) return red(R); + } + W[0]=[]; + if(P!=Q&&type(S=integrate(Q,X|dumb=D2,mult=Mul))<4){ + RR=red(R+S); + if(type(Dumb)==5){ + TD=W[0]; + for(W0=[],TD=reverse(TD);TD!=[];TD=cdr(TD)){ + if(car(TD)[0][0]){ + WL=cons([1,R],car(TD)); + Dumb[0]=cons(WL,Dumb[0]); + } + else Dumb[0]=append(TD,Dumb[0]); + } + if(nmono(R)+nmono(S)!=nmono(RR)) Dumb[0]=cons([[1,R,S]],Dumb[0]); + } + return RR; + } + } + if(Dumb!=1) mycat(SM); + return []; +} + +def fimag(P) +{ + for(V=vars(P);V!=[];V=cdr(V)){ + Q=[]; + if(vtype(VF=car(V))==2){ + VAA=args(VF); + if(VAA==[]) continue; + VA=sqrt2rat(VAA[0]); + if(functor(VF)==exp){ + if(imag(VA)!=0){ + R=(real(VA)!=0)?exp(real(VA)):1; + Q=subst(P,VF,R*(cos(imag(VA))+sin(imag(VA))*@i)); + } + }else if(functor(VF)==pow){ + VA=sqrt2rat(VAA[1]); + if(imag(VA)!=0){ + R=(real(VA)!=0)?VAA[0]^(real(VA)):1; + L=(VAA[0]!=@e)?log(VAA[0]):1; + Q=subst(P,VAA[0]^(VAA[1]),R*(cos(L*imag(VA))+sin(L*imag(VA))*@i)); + }else if(VAA[1]!=(V0=fimag(VA))) + Q=subst(P,VAA[0]^(VAA[1]),VAA[0]^(V0)); + } + V0=VA; + if(length(VAA)==1&&(VAA[0]!=V0||VA!=(V0=fimag(VA)))) + Q=subst(P,VF,subst(VF,VAA[0],V0)); + } + if(Q!=[]&&P!=Q){ + P=Q;V=cons(0,vars(P)); + } + } + return P; +} + + +def trig2exp(P,X) +{ + if(iand(ptype(P,X),128)){ + OL=getopt(); + Nm=trig2exp(nm(P),X|option_list=OL); + Dn=trig2exp(dn(P),X|option_list=OL); + R=red(Nm/Dn); + if(getopt(arc)==1) return sqrt2rat(R); + } + if((Inv=getopt(inv))==1||type(Inv)==2){ + for(VT=T=vars(P);T!=[];T=cdr(T)){ + if(findin(functor(car(T)),[cos,sin,tan])>=0){ + P=trig2exp(P,X);VT=vars(P);break; + } + } + for(;VT!=[];VT=cdr(VT)){ + if(functor(CT=car(VT))==exp){ + if((Re=real(args(CT)[0]))!=0){ + if(isint(Re)) S=@e^Re; + else S=exp(Re); + }else S=1; + if((Im=imag(args(CT)[0]))!=0){ + Q=nm(Im);Q=mycoef(Q,mydeg(Q,X),X); + if(-Q>Q) S*=cos(-Im)-@i*sin(-Im); + else S*=cos(Im)+@i*sin(Im); + } + P=subst(P,CT,S); + } + } + P=red(P); + U=vars(Inv); + if(length(U)!=1||((F=functor(car(U)))!=sin&&F!=cos&&F!=tan)) return P; + XX=args(car(U))[0]; + if(mydeg(XX,X)!=1) return P; + if(!isvar(XX)) P=subst(P,X,(X-mycoef(XX,0,X))/mycoef(XX,1,X)); + for(VT=vars(P);VT!=[];VT=cdr(VT)){ + if(vtype(CT=car(VT))<2) continue; + TX=args(CT)[0]; + if(mydeg(TX,X)!=1) continue; + if(!isint(C1=mycoef(TX,1,X))) continue; + if((C0=mycoef(TX,0,X))==0){ + CC=1;CS=0; + }else if(vars(C0)==[@pi]){ + CC=myval(cos(C0)); + if(CC!=0&&type(CC)==1&&ntype(CC)!=0){ + CC=cos(C0);CS=sin(C0); + }else CS=myval(sin(C0)); + }else{ + CC=cos(C0);CS=sin(C0); + } + K=C1; + if(K<0) K=-K; + for(CC1=0,I=K;I>=0;I-=2) CC1+=(-1)^((K-I)/2)*binom(K,I)*cos(X)^I*sin(X)^(K-I); + for(CS1=0,I=K-1;I>=0;I-=2) CS1+=(-1)^((K-I-1)/2)*binom(K,I)*cos(X)^I*sin(X)^(K-I); + if(C1<0) CS1=-CS1; + if((TF=functor(CT))==cos) P=subst(P,cos(TX),CC1*CC-CS1*CS); + else if(TF==sin) P=subst(P,sin(TX),CS1*CC+CC1*CS); + } + if(F==sin) + P=substblock(P,cos(X),cos(X)^2,1-sin(X)^2); + else{ + P=substblock(P,sin(X),sin(X)^2,1-cos(X)^2); + if(F==tan){ + P=subst(P,sin(X),cos(X)*tan(X)); + P=substblock(P,cos(X),cos(X)^2,1/(tan(X)^2+1)); + } + } + if(!isvar(XX)) P=subst(P,X,XX); + + if(getopt(arc)==1){ + for(VT=vars(P);VT!=[];VT=cdr(VT)){ + FA=funargs(car(VT)); + if(type(FA)==4&&(FA[0]==cos||FA[0]==sin)&&ptype(FA[1],X)>60){ + VTT=vars(FA[1]); + if(type(FA[1])!=2||length(VTT)!=1) break; + FB=funargs(VTT[0]); + if(type(FB)!=4||(FF=findin(FB[0],[asin,acos,atan]))<0) break; + if(!isint(2*(C=mycoef(FA[1],1,VTT[0])))||mycoef(FA[1],0,VTT[0])!=0) break; + if(C==1/2){ + if(FF==1){ + U=(FA[0]==cos)?(1+FB[1])/2:(1-FB[1])/2; + P=subst(P,car(VT),red(U)^(1/2)); + }else if(FF==2){ + if(FA[0]==sin){ + FB1=red(FB[1]); + Nm=nm(FB1);CC=fctr(Nm)[0][0];Dn=dn(FB1); + if(CC<0) CC=-CC; + Nm/=CC;Dn/=CC; + NN=Nm^2+Dn^2; + P=subst(P,car(VT),((NN)^(1/2)-Dn)/Nm*cos(FA[1])); + } + } + P=red(P); + }else if(C==1){ + if(FF==1){ + if(FA[0]==cos) P=subst(P,car(VT),FB[1]); + else P=subst(P,car(VT),(1-FB[1])^(1/2)); + }else if(FF==0){ + if(FA[0]==sin) P=subst(P,car(VT),FB[1]); + else P=subst(P,car(VT),(1-FB[1])^(1/2)); + } + P=red(P); + } + } + } + P=sqrt2rat(P); + } + return red(P); + } + Var=pfargs(P,X); + for(VT=Var;VT!=[];VT=cdr(VT)){ + CT=car(VT); + if(CT[1]==cos) + P=subst(P,CT[0],exp(CT[2]*@i)/2+exp(-CT[2]*@i)/2); + else if(CT[1]==sin) + P=subst(P,CT[0],exp(-CT[2]*@i)*@i/2-exp(CT[2]*@i)*@i/2); + else if (CT[1]==tan) + P=subst(P,CT[0],(exp(-CT[2]*@i)*@i-exp(CT[2]*@i)*@i)/(exp(CT[2]*@i)+exp(-CT[2]*@i))); + else if(CT[1]==pow){ + if(ptype(CT[2],X)>1) continue; + if(CT[2]==@e) P=subst(P,CT[0],exp(CT[3])); + else P=subst(P,CT[0],exp(log(CT[2])*exp(CT[3]))); + } + } + P=red(P); + for(PP=1,Lp=(dn(P)==1)?1:0;Lp<2;Lp++){ + PP=1/PP; + U=(Lp==0)?dn(P):nm(P); + if(U==1) continue; + Var=vars(U); + for(R=[],VT=Var;VT!=[];VT=cdr(VT)) + if(functor(car(VT))==exp) R=cons(car(VT),R); + RR=os_md.terms(U,R); + for(Q=0,RRT=RR;RRT!=[];RRT=cdr(RRT)){ + for(S=0,CT=cdr(car(RRT)),CR=R,UT=U;CR!=[];CR=cdr(CR),CT=cdr(CT)){ + UT=mycoef(UT,car(CT),car(CR));S+=car(CT)*args(car(CR))[0]; + } + if(S==0) Q+=UT; + else Q+=UT*exp(S); + } + PP*=Q; + } + return PP; +} + +def powsum(N) +{ + if (N < 0) return 0; + if (N == 0) return x; + P = intpoly(N*powsum(N-1),x); + C = subst(P,x,1); + return P+(1-C)*x; +} + +def bernoulli(N) +{ + return mydiff(powsum(N),x) - N*x^(N-1); +} + +/* linfrac01([x,y]) */ +/* linfrac01(newvect(10,[0,1,2,3,4,5,6,7,8,9]) */ +/* 0:x=0, 1:x=y, 2:x=1, 3:y=0, 4:y=1, 5:x=\infty, 6:y=\infty, 7:x=y=0, 8:x=y=1, 9:x=y=\infty + 10:y_2=0, 11:y_2=x, 12:y_2=y, 13: y_2=1, 14: y_2=\infty + 15:y_3=0, 16:y_3=x, 17:y_3=y, 18: y_3=y_2, 19: y_3=1, 20:y_3=\infty + X[0],X[11],X[2],X[10],X[13],X[5],X[14],X[7],X[8],X[9], + X[3],X[1],X[12],X[4],X[6] + + T=0 (x_2,x_1,x_3,x_4,...) + T=-j (x_1,x_2,..,x_{j-1},x_{j+1},x_j,x_{j+2},...) + T=1 (1-x_1,1-x_2,1-x_3,1-x_4,...) + T=2 (1/x_1,1/x_2,1/x_3,1/x_4,...) + T=3 (x_1,x_1/x_2,x_1/x_3,x_1/x_4,...) +*/ + +def lft01(X,T) +{ + MX=getopt(); + if(type(X)==4){ + K=length(X); + if(K>=1) D=1; + } + if(type(X)==5){ + K=length(X); + for(J=5, F=K-10; F>0; F-=J++); + if(F==0) D=2; + } + if(D==0) return 0; + if(T==0){ /* x <-> y */ + if(D==1){ + R=cdr(X); R=cdr(R); + R=cons(X[0],R); + return cons(X[1],R); + } + R=newvect(K,[X[3],X[1],X[4],X[0],X[2],X[6],X[5]]); + for(I=7;I<K;I++) R[I]=X[I]; + for(I=11,J=5; I<K; I+=J++){ + R[I]=X[I+1]; R[I+1]=X[I]; + } + return R; + } + if(T==1){ + if(D==1){ + for(R=[];X!=[];X=cdr(X)) R=cons(1-car(X),R); + return reverse(R); + } + R=newvect(K,[X[2],X[1],X[0],X[4],X[3],X[5],X[6],X[8],X[7],X[9]]); + for(I=11;I<K;I++) R[I]=X[I]; + for(I=10, J=5; I<K; I+=J++){ + R[I]=X[I+J-2]; R[I+J-2]=X[I]; + } + return R; + } + if(T==2){ + if(D==1){ + for(R=[]; X!=[]; X=cdr(X)) R=cons(red(1/car(X)),R); + return reverse(R); + } + R=newvect(K,[X[5],X[1],X[2],X[6],X[4],X[0],X[3],X[9],X[8],X[7]]); + for(I=11;I<K;I++) R[I]=X[I]; + for(I=10,J=5; I<K; I+=J++){ + R[I]=X[I+J-1]; R[I+J-1]=X[I]; + } + return R; + } + if(T==3){ + if(D==1){ + T=car(X); + for(R=[T],X=cdr(X); X!=[]; X=cdr(X)) + R=cons(red(T/car(X)),R); + return reverse(R); + } + R=newvect(K,[X[7],X[4],X[2],X[6],X[1],X[9],X[3],X[0],X[8],X[5]]); + for(I=10,J=5; I<K; I+=J++){ + R[I]=X[I+J-1]; R[I+1]=X[I+J-2]; R[I+J-2]=X[I+1]; R[I+J-1]=X[I]; + } + return R; + } + if(T==-1){ + if(D==1){ + return append([X[1],X[2],X[0]],cdr(cdr(cdr(X)))); + } + R=newvect(K,[X[0],X[11],X[2],X[10],X[13],X[5],X[14],X[7],X[8],X[9], + X[3],X[1],X[12],X[4],X[6]]); + for(I=11;I<K;I++) R[I]=X[I]; + for(I=17,J=5; I<K; I+=J++){ + R[I]=X[I+1]; R[I+1]=X[I]; + } + return R; + } + if(T<0){ + if(D==1){ + for(R=[],I=0; X!=[]; X=cdr(X),I--){ + if(I==T){ + R=cons(X[1],R); + R=cons(X[0],R); + X=cdr(X); + } + else R=cons(car(X),R); + } + return reverse(R); + } + T=3-T; + R=newvect(K); + for(I=0;I<K;I++) R[I]=X[I]; + for(I=10,J=5;J<T;I+=J++); + for(II=0; II<J-2; II++){ + R[I]=X[I+J]; R[I+J]=R[I]; + } + for( ; II<J; II++){ + R[I]=X[I+J+1]; R[I+J+1]=X[I]; + } + return R; + } + return 0; +} + +def linfrac01(X) +{ + if(type(X)==4) K=length(X)-2; + else if(type(X)==5){ + L=length(X); + for(K=0,I=10,J=5; I<L; K++,I+=J++); + if(I!=L) return 0; + } + if(K>3 && getopt(over)!=1) return(-1); + II=(K==-1)?3:4; + for(CC=C=1,L=[X]; C!=0; CC+=C){ + for(F=C,C=0,R=L; F>0; R=cdr(R), F--){ + P=car(R); + for(I=-K; I<II; I++){ + S=lft01(P,I); + if(findin(S,L) < 0){ + C++; L=cons(S,L); + } + } + } + } + return L; +} + + +def varargs(P) +{ + if((All=getopt(all))!=1&&All!=2) All=0; + V=vars(P); + for(Arg=FC=[];V!=[];V=cdr(V)){ + if(vtype(CV=car(V))==0&&All!=0){ + Arg=lsort([CV],Arg,0); + } + if(vtype(CV)!=2) continue; + if(findin(F=functor(CV),FC)<0) FC=cons(F,FC); + for(AT=vars(args(CV));AT!=[];AT=cdr(AT)){ + if(vtype(X=car(AT))<2){ + if(findin(X,Arg)<0) Arg=cons(X,Arg); + }else if(vtype(X)==2){ + R=varargs(X); + if(R[1]!=[]){ + Arg=lsort(R[1],Arg,0); + FC=lsort(R[0],FC,0); + } + } + } + } + Arg=reverse(Arg); + return (All==2)?Arg:[reverse(FC),Arg]; +} + +def pfargs(P,X) +{ + if(type(L=getopt(level))!=1) L=0; + for(Var=[],V=vars(P);V!=[];V=cdr(V)){ + if(vtype(car(V))==2){ + VT=funargs(car(V)); + if(length(VT)>1){ + if(L<2 &&(ptype(VT[1],X)>1 || (length(VT)>2 && ptype(VT[2],X)>1))) + Var=cons(cons(car(V),VT),Var); + if(L!=1 && (R=pfargs(VT[1],X|level=L-1))!=[]) Var=append(R,Var); + } + } + } + return reverse(Var); +} + +def ptype(P,L) +{ + if((T=type(P))<2 || T>3) return T; + if(type(L)!=4) L=[L]; + F=0; + if(lsort(L,varargs(dn(P))[1],2)!=[]) F=128; + if(lsort(L,varargs(nm(P))[1],2)!=[]) F+=64; + if(lsort(L,vars(dn(P)),2)!=[]) return F+3; + return (lsort(L,vars(nm(P)),2)==[])?(F+1):(F+2); +} + +def nthmodp(X,N,P) +{ + X=X%P; + for(Z=1;;){ + if((W=iand(N,1))==1) Z=(Z*X)%P; + if((N=(N-W)/2)<=0) return Z; + X=irem(X*X,P); + } +} + +def issquaremodp(X,P) +{ + N=getopt(power); + if(!isint(N)) N=2; + if(P<=1 || !isint(P) || !pari(ispsp,P) || !isint(X) || !isint(N) || N<1){ + errno(0); + return -2; + } + M=(P-1)/igcd(N,P-1); + if((X%=P) == 0) return 0; + if(X==1 || M==P-1) return 1; + return (nthmodp(X,M,P)==1)?1:-1; +} + +def iscoef(P,F) +{ + if(P==0) return 1; + if(type(P)==1) return F(P); + if(type(P)==2) { + X=var(P); + for(I=deg(P,X); I>=0; I--){ + if(!iscoef(mycoef(P,I,X),F)) return 0; + } + }else if(type(P)==3){ + if(!iscoef(nm(P),F)||!iscoef(dn(P),F)) return 0; + }else if(type(P)==4){ + for(;P!=[];P=cdr(P)) if(!iscoef(P,F)) return 0; + }else if(type(P)>4 && type(P)<7) return iscoef(m2l(PP),F); + else return 0; + return 1; +} + +def rootmodp(X,P) +{ + X%=P; + if(X==0) return [0]; + N=getopt(power); + PP=pari(factor,P); + P0=PP[0][0]; P1=PP[0][1]; + P2=pari(phi,P); + if(!isint(N)) N=2; + N%=P2; + if(P0==2 || size(PP)[0]>1){ + for(I=1,R=[]; I<P2; I++) + if(nthmodp(I,N,P)==X) R=cons(I,R); + return qsort(R); + } + Y=primroot(P); + if(Y==0) return 0; + Z=nthmodp(Y,N,P); + G=igcd(N,P2); + P3=P2/G; + for(I=0, W=1; I<P3;I++){ + if(W==X) break; + W=(W*Z)%P; + } + if(I==P3) return []; + W=nthmodp(Y,I,P); + Z=nthmodp(Y,P3,P); + for(I=0,R=[];;){ + R=cons(W,R); + if(++I>=G) break; + W=(W*Z)%P; + } + return qsort(R); +} + +def primroot(P) +{ + PP=pari(factor,P); + P0=PP[0][0]; P1=PP[0][1]; + S=size(PP); + if(S[0]>1 || !isint(P) || P0<=2){ + print("Not odd prime(power)!"); + return 0; + } + if(isint(Ind=getopt(ind))){ + Ind %= P; + if(Ind<=0 || igcd(Ind,P)!=1 || (Z=primroot(P))==0){ + print("Not exist!"); + return 0; + } + P2=P0^(P1-1)*(P0-1); + for(I=1,S=1; I<P2; I++) + if((S = (S*Z)%P) == Ind) return I; + return 0; + } + if(getopt(all)==1){ + I=primroot(P); + P2=P0^(P1-1)*(P0-1); + for(L=[],J=1; J<P2; J++){ + if(P1>1 && igcd(P0,J)!=1) continue; + if(igcd(P0-1,J)!=1) continue; + L=cons(nthmodp(I,J,P),L); + } + return qsort(L); + } + if(PP[0][1]>1){ + I=primroot(P0); + P2=P0^(P1-2)*(P0-1); + if(nthmodp(I,P2,P)==1) I+=P0; + return I; + } + F=pari(factor,P-1); + SF=size(F)[0]; + for(I=2; I<P; I++){ + for(J=0; J<SF; J++) + if(nthmodp(I,(P-1)/F[J][0],P)==1) break; + if(J==SF) return I; + } +} + +def rabin(P,X) +{ + for(M=0,Q=P-1;iand(Q,1)==0;M++,Q/=2); + Z=nthmodp(X,Q,P); + for(N=M;M>0&&Z!=1&&Z!=P-1;M--,Z=(Z*Z)%P); + return (M<N&&(M==0||Z==1))?0:1; +} + +def powprimroot(P,N) +{ + if(P<3) P=3; + FE=getopt(exp); + if(FE!=1) FE=0; + if((Log=getopt(log))==1||Log==2) FE=-1; + else if(Log==3){ + FE=-2; + for(PP=1, L0=["$r$","$p/a$"];;){ + PP=pari(nextprime,PP+1); + if(PP>=P) break; + L0=cons(PP, L0); + } + L0=reverse(L0); + } + if(FE==0) All=getopt(all); + for(I=0, PP=P, LL=[]; I<N; I++,PP++){ + PP=pari(nextprime,PP); + if(All==1){ + PR=primroot(PP|all=1); + LL=cons(cons(PP,PR),LL); + continue; + } + PR=primroot(PP); + if(FE==-2){ /* log=3 */ + LT=cdr(L0);LT=cdr(L0); + for(L=[PP];LT!=[];LT=cdr(LT)) + L=cons(primroot(PP|ind=car(LT)),L); + LL=cons(reverse(L),LL); + if(I<N-1) L0=append(L0,[PP]); + }else if(FE){ + for(J=1, L=[PP], K=1; J<PP; J++){ + if(FE==-1){ /* log=1,2 */ + K=primroot(PP|ind=J); + if(K==0 && Log==2) K=PP-1; + } + else K=(K*PR)%PP; /* exp=1 */ + L=cons(K,L); + } + LL=cons(reverse(L),LL); + }else + LL=cons([PP,PR],LL); /* default */ + } + LL=reverse(LL); + if(!FE) return LL; + PP--; + if(FE==-2) return append(LL,[L0]); + for(I=1,L=["$p$"];I<PP; I++) L=cons(I,L); + return cons(reverse(L),LL); +} + +def ntable(F,II,D) +{ + F=f2df(F|opt=-1); + Df=getopt(dif); + Str=getopt(str); + if(Df!=1) Df=0; + L=[]; + if(type(D)==4){ + if(type(II[0])==4){ + T1=II[0][1]-II[0][0];T2=II[1][1]-II[1][0]; + for(L0=[],I=0;I<D[0];I++){ + for(R=[],J=0;J<D[1];J++) + R=cons(myf2eval(F,II[0][0]+I*T1/D[0],II[1][0]+J*T2/D[1]),R); + L=cons(reverse(R),L);L0=cons(II[0][0]+I*T1/D[0],L0); + } + }else{ + for(T=II[1]-II[0],L0=[],I=0;I<D[0];I++){ + for(R=[],J=0;J<D[1];J++) + R=cons(myfdeval(F,II[0]+I*T/D[0]+J*T/D[0]/D[1]),R); + L=cons(reverse(R),L);L0=cons(II[0]+I*T/D[0],L0); + } + } + L=reverse(L);L0=reverse(L0); + if(type(Str)==4){ + L0=mtransbys(os_md.sint,L0,[Str[0]]|str=1,zero=0); + L=mtransbys(os_md.sint,L,[Str[1]]|str=1,zero=0); + if(Df==1){ + for(DT=[],RT=L,I=0;RT!=[];){ + for(LT=[],TT=car(RT);TT!=[];TT=cdr(TT)){ + VV=car(TT); + if((J=str_char(VV,0,"."))>=0){ + if(J==0) VV=str_cut(VV,1,10000); + else VV=str_cut(VV,0,J-1)+str_cut(VV,J+1,10000); + } + V1=eval_str(VV); + if(I++) LT=cons(V1-V0,LT); + V0=V1; + } + DT=cons(LT,DT); + if((RT=cdr(RT))==[]){ + VE=rint(myfdeval(F,II[1])*10^Str[1]); + DT=cons([VE-V0],DT); + } + } + for(I=0,D=[],TT=DT;TT!=[];TT=cdr(TT)){ + if(!I++) V=car(TT)[0]; + else{ + T1=reverse(cons(V,car(TT))); + V=car(T1); + if(length(TT)>1) T1=cdr(T1); + D=cons(T1,D); + } + } + for(DD=[],TT=D;TT!=[];TT=cdr(TT)) + DD=cons([os_md.lmin(car(TT)),os_md.lmax(car(TT))],DD); + DD=reverse(DD); + L=lsort(L,DD,"append"); + } + } + L=lsort(L,L0,"cons"); + if(type(Top=getopt(top))==4||getopt(TeX)==1){ + if(type(Top)==4){ + K=length(L[0])-length(Top); + if(K>0&&K<4){ + if(K>1){ + Top=append(Top,["",""]); + K-=2; + } + if(K) Top=cons("",Top); + } + L=cons(Top,L); + } + if(type(H=getopt(hline))!=4) H=[0,1,z]; + if(type(V=getopt(vline))!=4) V=[0,1,(DF)?z-2:z]; + if(type(T=getopt(title))!=7) Out=ltotex(L|opt="tab",hline=H,vline=V); + else Out=ltotex(L|opt="tab",hline=H,vline=V,title=T); + if(Df) Out=str_subst(Out,"\\hline","\\cline{1-"+rtostr(length(L[0])-2)+"}"); + return Out; + } + return L; + } + for(L=[],I=0;I<=D;I++){ + X=II[0]+I*T/D; + L=cons([X,myfdeval(F,X)],L); + } + if(Df==1){ + for(LD=[],LL=L;LL!=[];LL=cdr(LL)){ + if(LD==[]) LD=cons([car(LL)[0],car(LL)[1],0],LD); + else LD=cons([car(LL)[0],car(LL)[1],abs(car(LL)[1]-car(LD)[1])],LD); + } + L=reverse(LD); + } + if(type(Str)==4){ + if(length(Str)==1) Str=[Str[0],Str[0]]; + if(Df==1 && length(Str)==2) Str=[Str[0],Str[1],Str[1]]; + for(S=Str,Str=[];S!=[];S=cdr(S)){ + if(type(car(S))!=4) Str=cons([car(S),3],Str); + else Str=cons(car(S),Str); + } + Str=reverse(Str); + for(LD=[],LL=L;LL!=[];LL=cdr(LL)){ + for(K=[],J=length(Str); --J>=0; ) + K=cons(sint(car(LL)[J],Str[J][0]|str=Str[J][1]),K); + LD=cons(K,LD); + } + L=LD; + }else + L=reverse(L); + if(type(M=getopt(mult))==1){ + Opt=[["opt","tab"],["vline",[[0,2+Df]]],["width",-M]]; + if(type(T=getopt(title))==7) + Opt=cons(["title",T],Opt); + if(type(Tp=getopt(top))==4) + Opt=cons(["top",Tp],Opt); + L=ltotex(L|option_list=Opt); + } + return L; +} + +def distpoint(L) +{ + L=m2l(L|flat=1); + if(getopt(div)==5) Div=5; + else Div=10; + V=newvect(100/Div); + for(LT=L,LL=[],N=0; LT!=[]; LT=cdr(LT)){ + if(type(K=car(LT))>1||K<0){ + N++; continue; + } + LL=cons(K,LL); + T=idiv(K,Div); + if(Div==10 && T>=9) T=9; + else if(Div==5 && T>=19) T=19; + V[T]++; + } + V=vtol(V); + if((Opt=getopt(opt))=="data") return V; + Title=getopt(title); + OpList=[["opt","tab"]]; + if(type(Title=getopt(title)) == 7) + OpList=cons(["title",Title],OpList); + if(Opt=="average"){ + T=isMs()?["•½‹Ï“_","•W€•Î·","Å’á“_","Å‚“_","ŽóŒ±l”"]: + ["average","deviation","min","max","examinees"]; + L=average(LL); + L=[sint(L[0],1),sint(L[1],1),L[3],L[4],L[2]]; + if(N>0){ + T=append(T,[isMs()?"Œ‡ÈŽÒ":"absentees"]);L=append(L,[N]); + } + OpList=cons(["align","c"],OpList); + return ltotex([T,L]|option_list=OpList); + } + + if(getopt(opt)=="graph"){ + Mul=getopt(size); + if(Div==5){ + V0=["00","05","10","15","20","25","30","35","40","45","50","55", + "60","65","70","75","80","85","90","95"]; + if(type(Mul)!=4){ + Size = (TikZ)?[12,3,1/2,0.2]:[120,30,1/2,2]; + } + }else{ + V0=["00-","10-","20-","30-","40-","50-","60-","70-","80-","90-"]; + if(type(Mul)!=4){ + Size = (TikZ)?[8,3,1/2,0.2]:[80,30,1/2,2]; + } + } + return ltotex([V,V0]|opt="graph",size=Size); + } + if(Div==5) + V0=["00--04","05--09","10--14","15--19", "20--24", "25--29", "30--34", "35-39", + "40--44", "45--49","50--54", "55--59","60--64", "65--69", + "70--74", "75--79","80--84", "85--89","90--94", "95--100"]; + else + V0=["00--09","10--19","20--29","30--39","40--49","50--59","60--69", + "70--79","80--89","90--100"]; + Title=getopt(title); + return ltotex([V0,V]|option_list=OpList); +} + +def keyin(S) +{ + print(S,2); + purge_stdin(); + S=get_line(); + L=length(S=strtoascii(S)); + if(L==0) return ""; + return str_cut(S,0,L-2); +} + +def init() { + LS=["DIROUT","DVIOUTA","DVIOUTB","DVIOUTH","DVIOUTL","TeXLim","TeXEq","TikZ", + "XYPrec","XYcm","Canvas"]; + if(!access(get_rootdir()+"/help/os_muldif.dvi")||!access(get_rootdir()+"/help/os_muldif.pdf")) + mycat(["Put os_muldif.dvi and os_muldif.pdf in", get_rootdir()+(isMs()?"\\help.":"/help.")]); + if(!isMs()){ + DIROUT="%HOME%/asir/tex"; + DVIOUTA=str_subst(DVIOUTA,[["\\","/"],[".bat",".sh"]],0); + DVIOUTB=str_subst(DVIOUTB,[["\\","/"],[".bat",".sh"]],0); + DVIOUTL=str_subst(DVIOUTL,[["\\","/"],[".bat",".sh"]],0); + DVIOUTH="%ASIRROOT%/help/os_muldif.pdf"; + } + Home=getenv("HOME"); + if(type(Home)!=7) Home=""; + for(Id=-7, F=Home; Id<-1;){ + G = F+"/.muldif"; + if(access(G)) Id = open_file(G); + else Id++; + if(Id==-6) F+="/asir"; + else if(Id==-5) F=get_rootdir(); + else if(Id==-4) F+="/bin"; + else if(Id==-3) F=get_rootdir()+"/lib-asir-contrib"; + } + if(Id>=0){ + while((S=get_line(Id))!=0){ + if(type(P=str_str(S,LS))==4 && (P0=str_char(S,P[1]+4,"="))>0){ + if(P[0]<5){ + P0=str_chr(S,P0+1,"\""); + if(P0>0){ + for(P1=P0;(P2=str_char(S,P1+1,"\""))>0; P1=P2); + if(P1>P0+1){ + SS=str_cut(S,P0+1,P1-1); + SS=str_subst(SS,["\\\\","\\\""],["\\","\""]); + if(P[0]==0) DIROUT=SS; + else if(P[0]==1) DVIOUTA=SS; + else if(P[0]==2) DVIOUTB=SS; + else if(P[0]==3) DVIOUTH=SS; + else if(P[0]==4) DVIOUTL=SS; + } + } + if(P0<0 || P1<P0+2) mycat(["Error! Definiton of", LS[P[0]], + "in .muldif"]); + }else{ + SV=eval_str(str_cut(S,P0+1,str_len(S)-1)); + if(P[0]==5) TeXLim=SV; + else if(P[0]==6) TeXEq=SV; + else if(P[0]==7) TikZ=SV; + else if(P[0]==8) XYPrec=SV; + else if(P[0]==9) XYcm=SV; + else if(P[0]==10) Canvas=SV; + } + } + } + close_file(Id); + } + chkfun(1,0); +} + +#ifdef USEMODULE +endmodule; +os_md.init()$ +#else +init()$ +#endif + +end$ diff --git a/Master/texmf-dist/scripts/ketcindy/ketlibC/ketcommon.h b/Master/texmf-dist/scripts/ketcindy/ketlibC/ketcommon.h new file mode 100644 index 00000000000..27a5434fe41 --- /dev/null +++ b/Master/texmf-dist/scripts/ketcindy/ketlibC/ketcommon.h @@ -0,0 +1,2127 @@ +//20180308 norm added + +int length1(double gdata[]){ + return floor(gdata[0]+0.5); +} + +int length2(double gdata[][2]){ + return floor(gdata[0][0]+0.5); +} + +int length3(double gdata[][3]){ + return floor(gdata[0][0]+0.5); +} + +int length4(double gdata[][4]){ + return floor(gdata[0][0]+0.5); +} + +int length5(double gdata[][5]){ + return floor(gdata[0][0]+0.5); +} + +int length6(double gdata[][6]){ + return floor(gdata[0][0]+0.5); +} + +int length2i(int gdata[][2]){ + return gdata[0][0]; +} + +void copyd(int from, int upto, double q[], double p[]){ + int i; + for(i=from; i<=upto; i++){ + p[i]=q[i]; + } +} + +void copyi(int from, int upto, int q[], int p[]){ + int i; + for(i=from; i<=upto; i++){ + p[i]=q[i]; + } +} + +int push2(double x, double y, double ptL[][2]){ + int nall=length2(ptL); + nall++; + ptL[nall][0]=x; ptL[nall][1]=y; + ptL[0][0]=nall; + return nall; +} + +int push3(double x, double y, double z, double ptL[][3]){ + int nall=length3(ptL); + nall++; + ptL[nall][0]=x; ptL[nall][1]=y; ptL[nall][2]=z; + ptL[0][0]=nall; + return nall; +} + +int push4(double x, double y, double z, double w, double ptL[][4]){ + int nall=length4(ptL); + nall++; + ptL[nall][0]=x; ptL[nall][1]=y; + ptL[nall][2]=z; ptL[nall][3]=w; + ptL[0][0]=nall; + return nall; +} + +int push5(double x, double y, double z, double w, double u, double ptL[][5]){ + int nall=length5(ptL); + nall++; + ptL[nall][0]=x; ptL[nall][1]=y; + ptL[nall][2]=z; ptL[nall][3]=w; ptL[nall][4]=u; + ptL[0][0]=nall; + return nall; +} + +int push6(double x, double y, double z, double w, double u, double v,double ptL[][6]){ + int nall=ptL[0][0]; + nall++; + ptL[nall][0]=x; ptL[nall][1]=y;ptL[nall][2]=z; + ptL[nall][3]=w; ptL[nall][4]=u; ptL[nall][5]=v; + ptL[0][0]=nall; + return nall; +} + +void pull3(int num, double ptL[][3],double pt[3]){ + pt[0]=ptL[num][0]; pt[1]=ptL[num][1]; pt[2]=ptL[num][2]; +} + +void pull2(int num, double ptL[][2],double pt[2]){ + pt[0]=ptL[num][0]; pt[1]=ptL[num][1]; +} + +void pull4(int num, double ptL[][4],double pt[4]){ + pt[0]=ptL[num][0]; pt[1]=ptL[num][1]; + pt[2]=ptL[num][2]; pt[3]=ptL[num][3]; +} + +void pull5(int num, double ptL[][5],double pt[5]){ + pt[0]=ptL[num][0]; pt[1]=ptL[num][1]; + pt[2]=ptL[num][2]; pt[3]=ptL[num][3]; pt[4]=ptL[num][4]; +} + +void pull6(int num, double ptL[][6],double pt[6]){ + pt[0]=ptL[num][0]; pt[1]=ptL[num][1]; pt[2]=ptL[num][2]; + pt[3]=ptL[num][3]; pt[4]=ptL[num][4]; pt[5]=ptL[num][5]; +} + +int add2(double gdata[][2], double x, double y){ + int nall; + nall=push2(x, y, gdata); + return nall; +} + +int add3(double gdata[][3], double x, double y, double z){ + int nall; + nall=push3(x, y, z,gdata); + return nall; +} + +int addptd3(double gdata[][3], double pt[3]){ + int nall; + nall=push3(pt[0],pt[1],pt[2],gdata); + return nall; +} + +int addptd2(double gdata[][2], double pt[2]){ + int nall; + nall=push2(pt[0],pt[1],gdata); + return nall; +} + +int addptd4(double gdata[][4], double pt[4]){ + int nall; + nall=push4(pt[0],pt[1],pt[2],pt[3],gdata); + return nall; +} + +int addptd5(double gdata[][5], double pt[5]){ + int nall; + nall=push5(pt[0],pt[1],pt[2],pt[3],pt[4],gdata); + return nall; +} + +int addptd6(double gdata[][6], double pt[6]){ + int nall; + nall=push6(pt[0],pt[1],pt[2],pt[3],pt[4],pt[5],gdata); + return nall; +} + +int appendd2(int level, int from,int upto, double gdata[][2],double mat[][2]){ + int j, np, nall=length2(mat); + np=upto-from+1; + if(np<0){np=0;} + if(np>0){ + if(level>0){ + if(nall>0){ + nall=add2(mat,Inf, level); + } + } + for(j=1; j<=np; j++){ + mat[nall+j][0]=gdata[from+j-1][0]; + mat[nall+j][1]=gdata[from+j-1][1]; + } + } + mat[0][0]=nall+np; + return nall+np; +} + +int appendd3(int level, int from,int upto, double gdata[][3],double mat[][3]){ + int j, np, nall=length3(mat); + np=upto-from+1; + if(np<0){np=0;} + if(np>0){ + if(level>0){ + if(nall>0){ + nall=add3(mat,Inf, level, 0); + } + } + for(j=1; j<=np; j++){ + mat[nall+j][0]=gdata[from+j-1][0]; + mat[nall+j][1]=gdata[from+j-1][1]; + mat[nall+j][2]=gdata[from+j-1][2]; + } + } + mat[0][0]=nall+np; + return nall+np; +} + +int prependd2(int from,int upto, double gdata[][2],double mat[][2]){ + int j,np, nall=length2(mat); + if(from<=upto){ + np=upto-from+1; + for(j=nall; j>=1; j--){ + mat[np+j][0]=mat[j][0]; + mat[np+j][1]=mat[j][1]; + } + for(j=1; j<=np; j++){ + mat[j][0]=gdata[from+j-1][0]; + mat[j][1]=gdata[from+j-1][1]; + } + }else{ + np=from-upto+1; + for(j=nall; j>=1; j--){ + mat[np+j][0]=mat[j][0]; + mat[np+j][1]=mat[j][1]; + } + for(j=1; j<=np; j++){ + mat[nall+j][0]=gdata[from-j+1][0]; + mat[nall+j][1]=gdata[from-j+1][1]; + } + } + mat[0][0]=nall+np; + return nall+np; +} + +int appendd1(double numvec[], double num){ + int n; + n=floor(numvec[0]+0.5); + numvec[n+1]=num; + numvec[0]=n+1; + return n+1; +} + +int appendi1(int numvec[],int num){ + int n; + n=numvec[0]; + numvec[n+1]=num; + numvec[0]=n+1; + return n+1; +} + +int prependi1(int num, int numvec[]){ + int i,n; + n=numvec[0]; + for(i=n; i>=1; i--){ + numvec[i+1]=numvec[i]; + } + numvec[1]=num; + numvec[0]=n+1; + return n+1; +} + +int removei2(int nrmv,int mat[][2]){ + int j,nall=mat[0][0]; + if(nall>0){ + for(j=nrmv; j<=nall-1; j++){ + mat[j][0]=mat[j+1][0]; + mat[j][1]=mat[j+1][1]; + } + mat[0][0]=nall-1; + return nall-1; + } + else{ + mat[0][0]=0; + return 0; + } +} + +int dataindexd1(double out[],int din[][2]){ + int n1=1, j, ctr=0, nall=floor(out[0]+0.5); + if(nall==0){ + din[0][0]=0; + return 0; + } + for(j=1; j<=nall; j++){ + if(out[j]>Inf-1){ + ctr++; + din[ctr][0]=n1; + din[ctr][1]=j-1; + n1=j+1; + } + } + ctr++; + din[ctr][0]=n1; + din[ctr][1]=nall; + din[0][0]=ctr; + return ctr; +} + +int dataindexd2(int level,double out[][2],int din[][2]){ + int n1=1, j, ctr=0, nall=length2(out); + if(nall==0){ + din[0][0]=0; + return 0; + } + for(j=1; j<=nall; j++){ + if(out[j][0]>Inf-1){ + if((level==0) || (out[j][1]==level)){ + ctr++; + din[ctr][0]=n1; + din[ctr][1]=j-1; + n1=j+1; + } + } + } + ctr++; + din[ctr][0]=n1; + din[ctr][1]=nall; + din[0][0]=ctr; + return ctr; +} + +int dataindexd3(int level, double out[][3],int din[][2]){ + int n1=1, j, ctr=0, nall=length3(out); + if(nall==0){ + din[0][0]=0; + return 0; + } + for(j=1; j<=nall; j++){ + if(out[j][0]>Inf-1){ + if((level==0) || (out[j][1]==level)){ + ctr++; + din[ctr][0]=n1; + din[ctr][1]=j-1; + n1=j+1; + } + } + } + ctr++; + din[ctr][0]=n1; + din[ctr][1]=nall; + din[0][0]=ctr; + return ctr; +} + +int dataindexd4(int level, double out[][4],int din[][2]){ + int n1=1, j, ctr=0, nall=length4(out); + if(nall==0){ + din[0][0]=0; + return 0; + } + for(j=1; j<=nall; j++){ + if(out[j][0]>Inf-1){ + if((level==0) || (out[j][1]==level)){ + ctr++; + din[ctr][0]=n1; + din[ctr][1]=j-1; + n1=j+1; + } + } + } + ctr++; + din[ctr][0]=n1; + din[ctr][1]=nall; + din[0][0]=ctr; + return ctr; +} + +int dataindexi1(int out[],int din[][2]){ + int n1=1, j, ctr=0, nall=out[0], ninfp=0; + if(nall==0){ + din[0][0]=0; din[0][1]=-1; + return 0; + } + for(j=1; j<=nall; j++){ + if(out[j]==Infint){ + ctr++; + if(j==ninfp+1){ + din[ctr][0]=0; din[ctr][1]=-1; + } + else{ + din[ctr][0]=n1; din[ctr][1]=j-1; + } + ninfp=j; + n1=j+1; + } + } + ctr++; + if(out[nall]==Infint){ + din[ctr][0]=0; din[ctr][1]=0; + } + else{ + din[ctr][0]=n1; din[ctr][1]=nall; + } + din[0][0]=ctr; + return ctr; +} + +void dispvec(int n,double dt[]){ + int i; + for(i=0; i<n; i++){ + printf("%f ",dt[i]); + } + printf("\n"); +} + +void dispveci(int n,int dt[]){ + int i; + for(i=0; i<n; i++){ + printf("%d ",dt[i]); + } + printf("\n"); +} + +void dispmatd2(int from, int upto, double mat[][2]){ + int i; + for(i=from; i<upto+1; i++){ + printf("%3d %7.5f %7.5f\n",i,mat[i][0],mat[i][1]); + } +} + +void dispmatd3(int from, int upto, double mat[][3]){ + int i; + for(i=from; i<upto+1; i++){ + printf("%3d %7.5f %7.5f %7.5f\n",i,mat[i][0],mat[i][1],mat[i][2]); + } +} + +void dispmatd4(int from, int upto, double mat[][4]){ + int i; + for(i=from; i<upto+1; i++){ + printf("%3d %7.5f %7.5f ",i,mat[i][0],mat[i][1]); + printf("%7.5f %7.5f\n",mat[i][2],mat[i][3]); + } +} + +void dispmatd5(int from, int upto, double mat[][5]){ + int i; + for(i=from; i<upto+1; i++){ + printf("%3d %7.5f %7.5f ",i,mat[i][0],mat[i][1]); + printf("%7.5f %7.5f %7.5f\n",mat[i][2],mat[i][3],mat[i][4]); + } +} + +void dispmatd6(int from, int upto, double mat[][6]){ + int i; + for(i=from; i<upto+1; i++){ + printf("%3d %7.5f %7.5f %7.5f ",i,mat[i][0],mat[i][1],mat[i][2]); + printf("%7.5f %7.5f %7.5f\n",mat[i][3],mat[i][4],mat[i][5]); + } +} + +void dispmatd2all(double mat[][2]){ + int i; + if(mat[0][0]==0){printf("%s\n","no data");return;} + for(i=1; i<mat[0][0]+1; i++){ + printf("%3d %7.5f %7.5f\n",i,mat[i][0],mat[i][1]); + } +} + +void dispmatd3all(double mat[][3]){ + int i; + if(mat[0][0]==0){printf("%s\n","no data");return;} + for(i=1; i<mat[0][0]+1; i++){ + printf("%3d %7.5f %7.5f %7.5f\n",i,mat[i][0],mat[i][1],mat[i][2]); + } +} + +void dispmatd4all(double mat[][4]){ + int i; + if(mat[0][0]==0){printf("%s\n","no data");return;} + for(i=1; i<mat[0][0]+1; i++){ + printf("%3d %7.5f %7.5f ",i,mat[i][0],mat[i][1]); + printf("%7.5f %7.5f\n",mat[i][2],mat[i][3]); + } +} + +void dispmatd5all(double mat[][5]){ + int i; + if(mat[0][0]==0){printf("%s\n","no data");return;} + for(i=1; i<mat[0][0]+1; i++){ + printf("%3d %7.5f %7.5f ",i,mat[i][0],mat[i][1]); + printf("%7.5f %7.5f %7.5f\n",mat[i][2],mat[i][3],mat[i][4]); + } +} + +void dispmatd6all(double mat[][6]){ + int i; + if(mat[0][0]==0){printf("%s\n","no data");return;} + for(i=1; i<mat[0][0]+1; i++){ + printf("%3d %7.5f %7.5f %7.5f ",i,mat[i][0],mat[i][1],mat[i][2]); + printf("%7.5f %7.5f %7.5f\n",mat[i][3],mat[i][4],mat[i][5]); + } +} + +void dispmati2(int from, int upto, int mat[][2]){ + int i; + for(i=from; i<upto+1; i++){ + printf("%3d %d %d\n",i,mat[i][0],mat[i][1]); + } +} + +void dispmati1(int from, int upto, int mat[]){ + int i; + for(i=from; i<upto+1; i++){ + printf("%3d %d\n",i,mat[i]); + } +} + +void readdata3(const char *fname, double out[][3]){ + double data[DsizeL][4]; + int i, j, ndata, nall; + FILE *fp; + fp=fopen(fname,"r"); + if(fp==NULL){ + printf("file not found\n"); + return; + } + ndata=0; + i=1; + while( ! feof(fp) && i<DsizeL){ + for(j=0;j<4;j++){ + fscanf(fp,"%lf",&data[i][j]); + } + i++; + ndata++; + } + ndata--; + fclose(fp); + out[0][0]=0; nall=0; + for(i=1; i<=ndata; i++){ + nall=add3(out, data[i][0], data[i][1], data[i][2]); + } + return; +} + +void readdata2(const char *fname, double out[][2]){ + double data[DsizeL][3]; + int i, j, ndata, nall; + FILE *fp; + fp=fopen(fname,"r"); + if(fp==NULL){ + printf("file not found\n"); + return; + } + ndata=0; + i=1; + while( ! feof(fp) && i<DsizeL){ + for(j=0;j<3;j++){ + fscanf(fp,"%lf",&data[i][j]); + } + i++; + ndata++; + } + ndata--; + fclose(fp); + out[0][0]=0; nall=0; + for(i=1; i<=ndata; i++){ + nall=add2(out, data[i][0], data[i][1]); + } + return; +} + +int output2(const char *var, const char *fname, int level, double out[][2]){ + int nall=length2(out), ndin, din[DsizeM][2],i,j; + double tmpd[2]; + FILE *fp; + fp=fopen(fname,"w"); + if (fp == NULL) { + printf("cannot open\n"); + return -1; + } + ndin=dataindexd2(level, out,din); + fprintf(fp,"%s//\n",var); + for(i=1; i<=ndin; i++){ + fprintf(fp,"start//\n"); + fprintf(fp,"["); + for(j=din[i][0]; j<=din[i][1]; j++){ + pull2(j,out,tmpd); + fprintf(fp,"[ %7.5f, %7.5f]",tmpd[0],tmpd[1]); + if(j<din[i][1]){ + fprintf(fp,","); + } + } + fprintf(fp,"]//\n"); + if(i<ndin){ + fprintf(fp,"end//\n"); + } + else{ + fprintf(fp,"end////\n"); + } + } + fclose(fp); + return 0; +} + +void simplesort(double number[]){ + int i,j, total=number[0]; + double tmp; + for (i=1; i<=total; i++) { + for (j=i+1; j<=total; j++) { + if (number[i] > number[j]) { + tmp = number[i]; + number[i] = number[j]; + number[j] = tmp; + } + } + } +} + +int memberi(int a, int list[]){ + int i, n=list[0]; + for(i=1; i<=n; i++){ + if(a==list[i]){ + return 1; + } + } + return 0; +} + +double dotprod(int dim, double p[], double q[]){ + double ans; + ans=p[0]*q[0]+p[1]*q[1]; + if(dim>2){ + ans=ans+p[2]*q[2]; + } + return ans; +} + +double norm(int dim, double p[]){ + double ans; + ans=dotprod(dim,p,p); + return sqrt(ans); +} + +double dist(int dim, double p[], double q[]){ + double tmp; + tmp=pow(q[0]-p[0],2)+pow(q[1]-p[1],2); + if(dim>2){ + tmp=tmp+pow(q[2]-p[2],2); + } + return sqrt(tmp); +} + +void crossprod(int dim,double a[3],double b[3], double out[3]){ + if(dim==3){ + out[0]=a[1]*b[2]-a[2]*b[1]; + out[1]=a[2]*b[0]-a[0]*b[2]; + out[2]=a[0]*b[1]-a[1]*b[0]; + }else{ + out[0]=a[0]*b[1]-a[1]*b[0]; + out[1]=Inf; + } +} + +void reflectpoint(double p1[2],double regard[][2],double p2[2]){ + double pa[2],pb[2],u,v,a,b,u2,v2; + pull2(1,regard,pa); + if(length2(regard)==1){ + p2[0]=2*pa[0]-p1[0]; p2[1]=2*pa[1]-p1[1]; + }else{ + pull2(2,regard,pb); + u=pb[0]-pa[0]; u2=pow(u,2.0); + v=pb[1]-pa[1]; v2=pow(v,2.0); + a=pa[0]; b=pa[1]; + p2[0]=(u2-v2)/(u2+v2)*p1[0]+2*u*v/(u2+v2)*p1[1]; + p2[0]=p2[0]-2*v*(u*b-v*a)/(u2+v2); + p2[1]=2*u*v/(u2+v2)*p1[0]-(u2-v2)/(u2+v2)*p1[1]; + p2[1]=p2[1]+2*u*(u*b-v*a)/(u2+v2); + } +} + +void pointoncurve(double t, double gdata[][2], double eps, double pt[]){ + double pa[2],pb[2], s; + int n, nall; + n=floor(t+eps); + s=fmax(t-n,0); + nall=length2(gdata); + if(n>=nall){ + pull2(nall,gdata,pt); +// pt[0]=gdata[nall][0]; pt[1]=gdata[nall][1]; + } + else{ + pull2(n,gdata,pa); + pull2(n+1,gdata,pb); + pt[0]=(1-s)*pa[0]+s*pb[0]; + pt[1]=(1-s)*pa[1]+s*pb[1]; + } +} + +int partcrv(double a,double b,double pkL[][2], double pL[][2]){ + int i, is, ie, nall; + double eps=pow(10,-3.2); + is=ceil(a); + ie=floor(b); + nall=0; + if(a<is-eps){ + nall++; + pL[nall][0]=(is-a)*pkL[is-1][0]+(1-is+a)*pkL[is][0]; + pL[nall][1]=(is-a)*pkL[is-1][1]+(1-is+a)*pkL[is][1]; + } + for(i=is; i<=ie; i++){ + nall++; + pL[nall][0]=pkL[i][0]; + pL[nall][1]=pkL[i][1]; + } + if(b>ie+eps){ + nall++; + pL[nall][0]=(1-b+ie)*pkL[ie][0]+(b-ie)*pkL[ie+1][0]; + pL[nall][1]=(1-b+ie)*pkL[ie][1]+(b-ie)*pkL[ie+1][1]; + } + pL[0][0]=nall; + return nall; +} + +int partcrv3(double a,double b,double pkL[][3], double pL[][3]){ + int i, is, ie, nall; + double eps=pow(10,-3.2); + is=ceil(a); + ie=floor(b); + nall=0; + if(a<is-eps){ + nall++; + pL[nall][0]=(is-a)*pkL[is-1][0]+(1-is+a)*pkL[is][0]; + pL[nall][1]=(is-a)*pkL[is-1][1]+(1-is+a)*pkL[is][1]; + pL[nall][2]=(is-a)*pkL[is-1][2]+(1-is+a)*pkL[is][2]; + } + for(i=is; i<=ie; i++){ + nall++; + pL[nall][0]=pkL[i][0]; + pL[nall][1]=pkL[i][1]; + pL[nall][2]=pkL[i][2]; + } + if(b>ie+eps){ + nall++; + pL[nall][0]=(1-b+ie)*pkL[ie][0]+(b-ie)*pkL[ie+1][0]; + pL[nall][1]=(1-b+ie)*pkL[ie][1]+(b-ie)*pkL[ie+1][1]; + pL[nall][2]=(1-b+ie)*pkL[ie][2]+(b-ie)*pkL[ie+1][2]; + } + pL[0][0]=nall; + return nall; +} + +int connectseg(double pdata[][2], double eps, double out[][2]){ + int din[DsizeM][2], nd, nq, i, j, flg, st, en, ntmp; + int nall=length2(pdata), nout=0; + double qd[DsizeM][2], ah[2], ao[2], p[2], q[2], tmp[2]; + out[0][0]=0; + nd=dataindexd2(0,pdata,din); + qd[0][0]=0; + nq=appendd2(0,din[1][0],din[1][1],pdata,qd); + nd=removei2(1,din); + while(nd>0){ + pull2(1,qd,ah); + pull2(nq,qd,ao); + flg=0; + for(j=1; j<=nd; j++){ + st=din[j][0]; + en=din[j][1]; + pull2(st,pdata,p); + pull2(en,pdata,q); + if(dist(2,p,ao)<eps){ + nq=appendd2(0,st+1,en,pdata,qd); + nd=removei2(j,din); + flg=1; + break; + } + if(dist(2,q,ao)<eps){ + nq=appendd2(0,en-1,st,pdata,qd); + nd=removei2(j,din); + flg=1; + break; + } + if(dist(2,p,ah)<eps){ + nq=prependd2(en,st+1,pdata,qd); + nd=removei2(j,din); + flg=1; + break; + } + if(dist(2,q,ah)<eps){ + nq=prependd2(st,en-1,pdata,qd); + nd=removei2(j,din); + flg=1; + break; + } + } + if(flg==0){ + nout=appendd2(2,1,nq,qd,out); + qd[0][0]=0; + nq=appendd2(0,din[1][0],din[1][1],pdata,qd); + nd=removei2(1,din); + } + } + if(nq>0){ + nout=appendd2(2,1,nq,qd,out); + } + return nout; +} + +void koutenseg(double a[2], double b[2], double c[2], double d[2], + double eps, double eps2, double out[4]){ + double v[2], epss,eps0=Eps, sv2, p1, p2, q1,q2,m1, m2, M1, M2, t; + double tmp1d2[2], tmp2d1, p[2], q[2]; + v[0]=b[0]-a[0]; v[1]=b[1]-a[1]; + sv2=pow(v[0],2.0)+pow(v[1],2.0); + if(sv2<pow(10,-6.0)){ + out[0]=Inf; + return; + } + p[0]=c[0]-a[0]; p[1]=c[1]-a[1]; + q[0]=d[0]-a[0]; q[1]=d[1]-a[1]; + epss=fmin(eps2, eps/sqrt(sv2)); + p1=(p[0]*v[0]+p[1]*v[1])/sv2; + p2=(-p[0]*v[1]+p[1]*v[0])/sv2; + q1=(q[0]*v[0]+q[1]*v[1])/sv2; + q2=(-q[0]*v[1]+q[1]*v[0])/sv2; + m1=-epss; M1=1+epss; + m2=-epss; M2=epss; + if((fmax(p1,q1)<m1) || (fmin(p1,q1)>M1)){ + out[0]=Inf; + return; + } + if((fmax(p2,q2)<m2) || (fmin(p2,q2)>M2)){ + out[0]=Inf; + return; + } + if(p2*q2<0){ + t=p1-(q1-p1)/(q2-p2)*p2; + if((t>m1)&& (t<M1)){ + if((t>-eps0) && (t<1+eps0)){ + tmp1d2[0]=a[0]+t*v[0]; tmp1d2[1]=a[1]+t*v[1]; + tmp2d1=fmin(fmax(t,0),1); + out[0]=tmp1d2[0]; out[1]=tmp1d2[1]; + out[2]=tmp2d1; out[3]=0; + } + else{ + tmp1d2[0]=a[0]+t*v[0]; tmp1d2[1]=a[1]+t*v[1]; + tmp2d1=fmin(fmax(t,0),1); + out[0]=tmp1d2[0]; out[1]=tmp1d2[1]; + out[2]=tmp2d1; out[3]=1; + } + return; + } + if((p1<m1)||(p1>M1)||(p2<m2)||(p2>M2)){ + if((q1<m1)||(q1>M1)||(q2<m2)||(q2>M2)){ + out[0]=Inf; + return; + } + t=fmin(fmax(q1,0),1); + tmp1d2[0]=a[0]+t*v[0]; tmp1d2[1]=a[1]+t*v[1]; + out[0]=tmp1d2[0]; out[1]=tmp1d2[1]; + out[2]=t; out[3]=1; + return; + } + t=fmin(fmax(p1,0),1); + tmp1d2[0]=a[0]+t*v[0]; tmp1d2[1]=a[1]+t*v[1]; + out[0]=tmp1d2[0]; out[1]=tmp1d2[1]; + out[2]=t; out[3]=1; + return; + } + if((p1>-eps0)&&(p1<1+eps0)&&(p2>-eps0)&&(p2<eps0)){ + t= p1; + tmp1d2[0]=a[0]+t*v[0]; tmp1d2[1]=a[1]+t*v[1]; + out[0]=tmp1d2[0]; out[1]=tmp1d2[1]; + out[2]=t; out[3]=0; + return; + } + if((q1>-eps0)&&(q1<1+eps0)&&(q2>-eps0)&&(q2<eps0)){ + t= q1; + tmp1d2[0]=a[0]+t*v[0]; tmp1d2[1]=a[1]+t*v[1]; + out[0]=tmp1d2[0]; out[1]=tmp1d2[1]; + out[2]=t; out[3]=0; + return; + } + if((p1<m1)||(p1>M1)||(p2<m2)||(p2>M2)){ + if((q1<m1)||(q1>M1)||(q2<m2)||(q2>M2)){ + out[0]=Inf; + return; + } + t=fmin(fmax(q1,0),1); + tmp1d2[0]=a[0]+t*v[0]; tmp1d2[1]=a[1]+t*v[1]; + out[0]=tmp1d2[0]; out[1]=tmp1d2[1]; + out[2]=t; out[3]=1; + return; + } + if((q1<m1)||(q1>M1)||(q2<m2)||(q2>M2)){ + t=fmin(fmax(p1,0),1); + tmp1d2[0]=a[0]+t*v[0]; tmp1d2[1]=a[1]+t*v[1]; + out[0]=tmp1d2[0]; out[1]=tmp1d2[1]; + out[2]=t; out[3]=1; + return; + } + if(fabs(p2)<fabs(q2)){ + t=fmin(fmax(p1,0),1); + } + else{ + t=fmin(fmax(q1,0),1); + } + tmp1d2[0]=a[0]+t*v[0]; tmp1d2[1]=a[1]+t*v[1]; + out[0]=tmp1d2[0]; out[1]=tmp1d2[1]; + out[2]=t; out[3]=1; + return; +} + +double paramoncurve(double p[2], int n, double ptL[][2]){ + double pa[2], pb[2], v[2], w[2], o[2], d2, s; + int nptL=length2(ptL); + if(n==nptL){ + return nptL; + } + else{ + pull2(n,ptL,pa); + pull2(n+1,ptL,pb); + v[0]=pb[0]-pa[0]; v[1]=pb[1]-pa[1]; + w[0]=p[0]-pa[0]; w[1]=p[1]-pa[1]; + o[0]=0; o[1]=0; + d2=pow(dist(2,v,o),2.0); + s=dotprod(2,v,w)/d2; + s=fmin(fmax(s,0),1); + return n+s; + } +} + +void nearestptpt(double pa[2], double pL[][2], double pt[4]){ + double eps0=pow(10,-6.0), p[2], pm[2], im, sm, s; + double ans[7], a1,a2, b1,b2, v1, v2, x1, x2, t, tmpd1; + int i, n, npL=length2(pL); + ans[0]=pa[0]; ans[1]=pa[1]; + ans[2]=1; + p[0]=pL[1][0]; p[1]=pL[1][1]; + ans[3]=p[0]; ans[4]=p[1]; + ans[5]=1; ans[6]=dist(2,pa,p); + pm[0]=pL[1][0]; pm[1]=pL[1][1]; + im=1; + sm=dist(2,pm,pa); + for(i=1; i<=npL-1; i++){ + a1=pL[i][0]; a2=pL[i][1]; + b1=pL[i+1][0]; b2=pL[i+1][1]; + v1=b1-a1; v2=b2-a2; + x1=pa[0]; x2=pa[1]; + tmpd1=pow(v2,2.0)+pow(v1,2.0); + if(fabs(tmpd1)<eps0){ + continue; + } + t=(-a2*v2-v1*a1+v1*x1+x2*v2)/tmpd1; + if(t<-eps0){ + p[0]=a1; p[1]=a2; + } + else if(t>1+eps0){ + p[0]=b1; p[1]=b2; + } + else{ + p[0]=a1+t*v1; p[1]=a2+t*v2; + } + s=dist(2,p,pa); + if(s<sm-eps0){ + tmpd1=paramoncurve(p,i,pL); + pm[0]=p[0]; pm[1]=p[1]; + im=tmpd1; sm=s; + } + } + if(sm<ans[6]){ + ans[0]=pa[0]; ans[1]=pa[1]; + ans[2]=n; + ans[3]=pm[0]; ans[4]=pm[1]; + ans[5]=im; ans[6]=sm; + } + pt[0]=ans[3]; pt[1]=ans[4]; + pt[2]=ans[5]; pt[3]=ans[6]; +} + +int intersectselfPp(double data1[][2],double eps,double eps1s,double kL[][4]){ + double a[2], b[2], tmpd2[2], tmpd4[4], tmpd5[5], p[2], q[2], t, s; + double eps0=pow(10,-5.0); + double tmpd1, tmp1d1, tmp2d1; + int i, j, k, n, is, ndata1,nkL, ntmp, ntmp1,flg, closed=0; + ndata1=length2(data1); + p[0]=data1[1][0]; p[1]=data1[1][1]; + q[0]=data1[ndata1][0]; q[1]=data1[ndata1][1]; + if(dist(2,p,q)<Eps){closed=1;} + kL[0][0]=0; nkL=0; + for(i=1; i<=ndata1; i++){ + ntmp=0; tmpd1=Inf; + pull2(i,data1,a); + nearestptpt(a, data1, tmpd4); + n=floor(tmpd4[2]+0.5); + if(n==i){continue;} + if(closed==1){ + if((i==1)&&(n==ndata1)){continue;} + if((i==ndata1)&&(n==1)){continue;} + } + ntmp1=floor(tmpd4[2]+Eps); + if((tmpd4[3]<eps1s)&&(ntmp1!=i)){ + if(ntmp<ntmp1){ + ntmp=ntmp1; + tmpd1=tmpd4[3]; + nkL=addptd4(kL,tmpd4); + } + else if(tmpd4[3]<tmpd1){ + tmpd1=tmpd4[3]; + kL[0][0]--; + nkL=addptd4(kL,tmpd4); + } + } + } + return nkL; +} + +/* +int intersectcrvsPptest(double data1[][2], double data2[][2], + double eps1,double eps2, double kL[][4]){ + double t, s, a[2], b[2], p[2], q[2]; + double sqeps=pow(10,-10.0), eps0=pow(10,-2.0); + double tmp1d2[2],tmp2d2[2],tmpd4[4],tmp1d4[4],tmpd5[5]; + double tmpd1,tmp1d1,tmp2d1, kL0[DsizeL][5], ds; + int i, j, k, n, is, nkL, nall, ndata1,ndata2,ntmp, ntmp1, flg; + ndata1=length2(data1); + ndata2=length2(data2); + if(ndata1==ndata2){ + tmp1d1=0; tmp2d1=0; + for(i=1; i<=ndata1; i++){ + tmp1d1=tmp1d1+pow(data1[i][0]-data2[i][0],2.0); + tmp1d1=tmp1d1+pow(data1[i][1]-data2[i][1],2.0); + tmp2d1=tmp2d1+pow(data1[i][0]-data2[ndata2-i+1][0],2.0); + tmp2d1=tmp2d1+pow(data1[i][1]-data2[ndata2-i+1][1],2.0); + } + tmp1d1=sqrt(tmp1d1); tmp2d1=sqrt(tmp2d1); + if((tmp1d1<Eps)||(tmp2d1<Eps)){ + kL[0][0]=0; nkL=0; + return nkL; + } + } + kL0[0][0]=0; nkL=0; + for(i=1; i<=ndata1; i++){ + ntmp=0; tmpd1=Inf; + pull2(i,data1,a); + nearestptpt(a, data2, tmpd4); + tmp1d1=floor(tmpd4[2]+Eps); //17.06.03 + a[0]=tmpd4[0]; a[1]=tmpd4[1]; + nearestptpt(a, data1, tmpd4); + tmpd5[0]=tmpd4[0]; tmpd5[1]=tmpd4[1]; + tmpd5[2]=tmpd4[2]; tmpd5[3]=tmp1d1; + tmpd5[4]=tmpd4[3]; + nkL=addptd5(kL0,tmpd5); + } + kL[0][0]=0; nall=0; + p[0]=Inf; p[1]=0; + for(i=1; i<=nkL; i++){ + if(kL0[i][4]<eps2){ + q[0]=kL0[i][0]; q[1]=kL0[i][1]; + if(dist(2,p,q)>eps2){ + nall=push4(kL0[i][0],kL0[i][1],kL0[i][2],kL0[i][3],kL); + p[0]=kL0[i][0]; p[1]=kL0[i][1]; + ds=kL0[i][4]; + continue; + } + if(kL0[i][4]<ds){ + kL[0][0]--; + nall=push4(kL0[i][0],kL0[i][1],kL0[i][2],kL0[i][3],kL); + p[0]=kL0[i][0]; p[1]=kL0[i][1]; + ds=kL0[i][4]; + } + } + } + return nall; +} +*/ + +int intersectcrvsPp(double data1[][2], double data2[][2], + double eps,double eps1s, double kL[][4]){ + double t, s, a[2], b[2], p[2], q[2]; + double sqeps=pow(10,-10.0), eps0=pow(10,-2.0); + double tmp1d2[2],tmp2d2[2],tmpd4[4],tmp1d4[4],tmpd5[5]; + double tmpd1,tmp1d1,tmp2d1; + int i, j, k, n, is, ndata1, ndata2, nkL,nkL1,nkL2,ntmp, ntmp1, flg; + ndata1=length2(data1); + ndata2=length2(data2); + if(ndata1==ndata2){ + tmp1d1=0; tmp2d1=0; + for(i=1; i<=ndata1; i++){ + tmp1d1=tmp1d1+pow(data1[i][0]-data2[i][0],2.0); + tmp1d1=tmp1d1+pow(data1[i][1]-data2[i][1],2.0); + tmp2d1=tmp2d1+pow(data1[i][0]-data2[ndata2-i+1][0],2.0); + tmp2d1=tmp2d1+pow(data1[i][1]-data2[ndata2-i+1][1],2.0); + } + tmp1d1=sqrt(tmp1d1); tmp2d1=sqrt(tmp2d1); + if((tmp1d1<Eps)||(tmp2d1<Eps)){ + kL[0][0]=0; nkL=0; + return nkL; + } + } + kL[0][0]=0; nkL=0; + for(i=1; i<=ndata1;i++){ + ntmp=0; tmpd1=Inf; + pull2(i,data1,a); + nearestptpt(a, data2, tmpd4); + tmp1d1=floor(tmpd4[2]+Eps); //17.06.03 + a[0]=tmpd4[0]; a[1]=tmpd4[1]; + nearestptpt(a, data1, tmpd4); + if(tmpd4[3]<eps1s){ + flg=0; + p[0]=tmpd4[0]; p[1]=tmpd4[1]; + for(j=1; j<=nkL; j++){ + q[0]=kL[j][0]; q[1]=kL[j][1]; + if(dist(2,p,q)<eps0){ + flg=1; + break; + } + } + if(flg==1){continue;} + ntmp1=floor(tmpd4[2]+Eps); + if(ntmp<ntmp1){ + ntmp=ntmp1; + tmpd1=tmpd4[3]; + tmp1d4[0]=tmpd4[0]; tmp1d4[1]=tmpd4[1]; + tmp1d4[2]=tmpd4[2]; tmp1d4[3]=tmp1d1; + nkL=addptd4(kL,tmp1d4); + } + else if(tmpd4[3]<tmpd1){ + tmpd1=tmpd4[3]; + kL[0][0]--; + tmp1d4[0]=tmpd4[0]; tmp1d4[1]=tmpd4[1]; + tmp1d4[2]=tmpd4[2]; tmp1d4[3]=tmp1d1; + nkL=addptd4(kL,tmp1d4); + } + } + } + return nkL; +} + +int intersectcrvsPpold(double data1[][2], double data2[][2], + double eps,double eps1s, double kL[][4]){ +// 17.05.22 + double kL1[DsizeL][5], kL2[DsizeL][5]; + double t, s, a[2], b[2], p[2], q[2]; + double sqeps=pow(10,-10.0), eps0=pow(10,-6.0); + double tmp1d2[2],tmp2d2[2],tmpd4[4],tmpd5[5]; + double tmpd1,tmp1d1,tmp2d1; + int i, j, k, n, is, ndata1, ndata2, nkL,nkL1,nkL2,ntmp,flg; + ndata1=length2(data1); + ndata2=length2(data2); + if(ndata1==ndata2){ + tmp1d1=0; tmp2d1=0; + for(i=1; i<=ndata1; i++){ + tmp1d1=tmp1d1+pow(data1[i][0]-data2[i][0],2.0); + tmp1d1=tmp1d1+pow(data1[i][1]-data2[i][1],2.0); + tmp2d1=tmp2d1+pow(data1[i][0]-data2[ndata2-i+1][0],2.0); + tmp2d1=tmp2d1+pow(data1[i][1]-data2[ndata2-i+1][1],2.0); + } + tmp1d1=sqrt(tmp1d1); tmp2d1=sqrt(tmp2d1); + if((tmp1d1<eps0)||(tmp2d1<eps0)){ + kL[0][0]=0; nkL=0; + return nkL; + } + } + kL1[0][0]=0; nkL1=0; + kL2[0][0]=0; nkL2=0; + for(i=1; i<=ndata1-1; i++){ + pull2(i,data1,a); + pull2(i+1,data1,b); + for(j=1; j<=ndata2-1; j++){ + pull2(j, data2, p); + pull2(j+1, data2, q); + koutenseg(a,b,p,q,eps,eps1s,tmpd4); + if(tmpd4[0]<Inf-1){ + ntmp=floor(tmpd4[3]+Eps); + if(ntmp==0){ + tmpd5[0]=tmpd4[0]; tmpd5[1]=tmpd4[1]; + tmpd5[2]=tmpd4[2]; tmpd5[3]=i; tmpd5[4]=j; + nkL1=addptd5(kL1,tmpd5); + } + else{ + tmpd5[0]=tmpd4[0]; tmpd5[1]=tmpd4[1]; + tmpd5[2]=tmpd4[2]; tmpd5[3]=i; tmpd5[4]=j; + nkL2=addptd5(kL2,tmpd5); + } + } + } + } + kL[0][0]=0; nkL=0; + if(nkL1>0){ + pull5(1,kL1,tmpd5); + p[0]=tmpd5[0]; p[1]=tmpd5[1]; + t=tmpd5[2]; + i=floor(tmpd5[3]+Eps); + j=floor(tmpd5[4]+Eps); + tmpd4[0]=p[0]; tmpd4[1]=p[1]; + tmpd4[2]=i+t; tmpd4[3]=j; + nkL=addptd4(kL,tmpd4); + } + for(n=2; n<=nkL1; n++){ + pull5(n,kL1,tmpd5); + p[0]=tmpd5[0]; p[1]=tmpd5[1]; + flg=0; + for(k=1; k<=nkL; k++){ + pull4(k,kL,tmpd4); + tmp1d2[0]=tmpd4[0]; tmp1d2[1]=tmpd4[1]; + if(pow(dist(2,p,tmp1d2),2.0)<sqeps){ + flg=1; + break; + } + } + if(flg==0){ + tmpd4[0]=p[0]; tmpd4[1]=p[1]; + t=tmpd5[2]; + i=floor(tmpd5[3]+Eps); + j=floor(tmpd5[4]+Eps); + tmpd4[2]=t+i; tmpd4[3]=j; + nkL=addptd4(kL,tmpd4); + } + } + for(n=1; n<=nkL2; n++){ + pull5(n,kL2,tmpd5); + p[0]=tmpd5[0]; p[1]=tmpd5[1]; + flg=0; + for(k=1; k<=nkL; k++){ + pull4(k,kL,tmpd4); + tmp1d2[0]=tmpd4[0]; tmp1d2[1]=tmpd4[1]; + if(pow(dist(2,p,tmp1d2),2.0)<sqeps){ + flg=1; + break; + } + } + if(flg==0){ + tmpd4[0]=p[0]; tmpd4[1]=p[1]; + t=tmpd5[2]; + i=floor(tmpd5[3]+Eps); + j=floor(tmpd5[4]+Eps); + tmpd4[2]=i+t; tmpd4[3]=j; + nkL=addptd4(kL,tmpd4); + } + } + return nkL; +} + +int dropnumlistcrv(double qd[][2], double eps1, int out[]){ + int i,j,k, nout,nall=length2(qd), nd, se, en, npd, nptL; + int din[DsizeM][2],ptL[DsizeL]; + double eps=pow(10.0,-6.0), pd[DsizeL][2], p[2], tmp2d[2]; + out[0]=0; nout=0; + nd=dataindexd2(2,qd,din); + for(j=1; j<=nd; j++){ + se=din[j][0]; en=din[j][1]; + pd[0][0]=0; npd=0; + npd=appendd2(0,se,en,qd,pd); + ptL[0]=0; nptL=0; + nptL=appendi1(ptL,1); + pull2(1,pd,p); + for(k=2; k<=npd-1; k++){ + pull2(k,pd,tmp2d); + if(dist(2,p,tmp2d)>eps1){ + nptL=appendi1(ptL,k); + pull2(k,pd,p); + } + } + pull2(npd-1,pd,p); + pull2(npd,pd,tmp2d); + if(dist(2,p,tmp2d)>eps){ // eps -> eps1 ? + nptL=appendi1(ptL,npd); + } + if(nptL==1){ptL[0]=0; nptL=0;} + if(nout>0){ + nout=appendi1(out,Infint); + } + for(i=1; i<=nptL; i++){ + nout=appendi1(out,ptL[i]); + } + } + out[0]=nout; + return nout; +} + +int increasept2(double ptL[][2], int nn, double out[][2]){ + int ii, jj, npt, nall; + double tmpd2[2]; + npt=length2(ptL); + out[0][0]=0; + for(ii=1; ii<=npt-1; ii++){ + for(jj=0; jj<nn; jj++){ + tmpd2[0]=ptL[ii][0]+1.0*jj/nn*(ptL[ii+1][0]-ptL[ii][0]); + tmpd2[1]=ptL[ii][1]+1.0*jj/nn*(ptL[ii+1][1]-ptL[ii][1]); + addptd2(out,tmpd2); + } + } + nall=appendd2(0,npt,npt,ptL,out); + return nall; +} + +int increasept3(double ptL[][3], int nn, double out[][3]){ + int ii, jj, npt, nall; + double tmpd3[3]; + npt=length3(ptL); + out[0][0]=0; + for(ii=1; ii<=npt-1; ii++){ + for(jj=0; jj<nn; jj++){ + tmpd3[0]=ptL[ii][0]+1.0*jj/nn*(ptL[ii+1][0]-ptL[ii][0]); + tmpd3[1]=ptL[ii][1]+1.0*jj/nn*(ptL[ii+1][1]-ptL[ii][1]); + tmpd3[2]=ptL[ii][2]+1.0*jj/nn*(ptL[ii+1][2]-ptL[ii][2]); + addptd3(out,tmpd3); + } + } + nall=appendd3(0,npt,npt,ptL,out); + return nall; +} + +void bezierpt(double t, double p0[], double p3[], double p1[], double p2[], + double pout[]){ + double p4[2], p5[2], p6[2], p7[2], p8[2]; + int i, flg3=1; + if(p2[0]>Inf-1){ + for(i=0; i<2; i++){ + p2[i]=p3[i]; + } + flg3=0; + } + for(i=0; i<2; i++){ + p4[i]=(1-t)*p0[i]+t*p1[i]; + } + for(i=0; i<2; i++){ + p5[i]=(1-t)*p1[i]+t*p2[i]; + } + for(i=0; i<2; i++){ + p6[i]=(1-t)*p2[i]+t*p3[i]; + } + for(i=0; i<2; i++){ + p7[i]=(1-t)*p4[i]+t*p5[i]; + } + if(flg3==0){ + for(i=0; i<2; i++){ + pout[i]=p7[i]; + } + } + else{ + for(i=0; i<2; i++){ + p8[i]=(1-t)*p5[i]+t*p6[i]; + } + for(i=0; i<2; i++){ + pout[i]=(1-t)*p7[i]+t*p8[i]; + } + } +} + +int bezier(double ptL[][2], double ctrL[][4], int num, double out[][2]){ + double p0[2], p3[2], p1[2], p2[2], pt[2], dt=1.0/num; + int i, j, n, nall; + out[0][0]=0; nall=0; + nall=appendd2(0,1,1,ptL,out); + n=length2(ptL); + for(i=1; i<=n-1; i++){ + pull2(i,ptL, p0); + pull2(i+1,ptL, p3); + p1[0]=ctrL[i][0]; p1[1]=ctrL[i][1]; + p2[0]=ctrL[i][2]; p2[1]=ctrL[i][3]; + for(j=1; j<=num; j++){ + bezierpt(j*dt,p0,p3,p1,p2,pt); + nall=push2(pt[0],pt[1], out); + } + } + return nall; +} + +int ospline(int level, double ptL[][2], int num, double out[][2]){ + double ctrlist[DsizeM][4], eps0=pow(10,-6.0), tmp, cc; + double p[2], q[2], p0[2], p3[2], p1[2], p2[2], pQ[2], pR[2]; + double ptlist[DsizeM][2], tmpmd2[DsizeM][2]; + int nd, i, j, npt, nall, nctr, flg, ndin, closed, din[DsizeM][2], ntmp; + out[0][0]=0; + if(num==1){ + npt=length2(ptL); + for(i=0; i<=npt; i++){ + out[i][0]=ptL[i][0]; out[i][1]=ptL[i][1]; + } + nall=length2(out); + return nall; + } + ndin=dataindexd2(level,ptL,din); + for(nd=1; nd<=ndin; nd++){ + ptlist[0][0]=0; + npt=appendd2(0,din[nd][0],din[nd][1],ptL,ptlist); + if(npt==2){ + appendd2(2, 1,npt,ptlist,out); + continue; + } + closed=0; + pull2(1,ptlist,p); + pull2(npt,ptlist,q); + if(dist(2,p,q)<eps0){ + closed=1; + } + ctrlist[0][0]=0; nctr=0; + for(i=1; i<=npt-1; i++){ + flg=0; + pull2(i, ptlist,p1); + pull2(i+1, ptlist,p2); + if((i==1)||(i==npt-1)){ + flg=1; + if(closed==0){ + pQ[0]=(p1[0]+2*p2[0])/3.0; + pQ[1]=(p1[1]+2*p2[1])/3.0; + pR[0]=(2*p1[0]+p2[0])/3.0; + pR[1]=(2*p1[1]+p2[1])/3.0; + nctr++; + ctrlist[nctr][0]=pQ[0]; ctrlist[nctr][1]=pQ[1]; + ctrlist[nctr][2]=pR[0]; ctrlist[nctr][3]=pR[1]; + flg=2; + } + else{ + if(i==1){ + pull2(npt-1, ptlist,p0); + pull2(i+2, ptlist,p3); + } + else{ + pull2(i-1, ptlist, p0); + pull2(2, ptlist, p3); + } + } + } + if(flg<=1){ + if(flg==0){ + pull2(i-1, ptlist, p0); + pull2(i+2, ptlist, p3); + } + p[0]=p2[0]-p0[0]; p[1]=p2[1]-p0[1]; + q[0]=p3[0]-p1[0]; q[1]=p3[1]-p1[1]; + tmp=1+sqrt((1+dotprod(2,p,q)/dist(2,p0,p2)/dist(2,p1,p3))/2); + cc=4*dist(2,p1,p2)/3/(dist(2,p0,p2)+dist(2,p1,p3))/tmp; + pQ[0]=p1[0]+cc*(p2[0]-p0[0]); pQ[1]=p1[1]+cc*(p2[1]-p0[1]); + pR[0]=p2[0]+cc*(p1[0]-p3[0]); pR[1]=p2[1]+cc*(p1[1]-p3[1]); + nctr++; + ctrlist[nctr][0]=pQ[0]; ctrlist[nctr][1]=pQ[1]; + ctrlist[nctr][2]=pR[0]; ctrlist[nctr][3]=pR[1]; + } + } + if(closed==0){ + p1[0]=ctrlist[2][0]; p1[1]=ctrlist[2][1]; + pull2(2, ptlist, p2); + pQ[0]=p2[0]+(p2[0]-p1[0]); pQ[1]=p2[1]+(p2[1]-p1[1]); + ctrlist[1][0]=pQ[0]; ctrlist[1][1]=pQ[1]; + ctrlist[1][2]=Inf; ctrlist[1][3]=0; + p1[0]=ctrlist[nctr-1][2]; p1[1]=ctrlist[nctr-1][3]; + pull2(nctr,ptlist,p2); + pQ[0]=p2[0]+(p2[0]-p1[0]); pQ[1]=p2[1]+(p2[1]-p1[1]); + ctrlist[nctr][0]=pQ[0]; ctrlist[nctr][1]=pQ[1]; + ctrlist[nctr][2]=Inf; ctrlist[1][3]=0; + } + ctrlist[0][0]=nctr; + if(length2(ptlist)>2){ + ntmp=bezier(ptlist,ctrlist,num, tmpmd2); + nall=appendd2(2,1,ntmp,tmpmd2,out); + } + } + return nall; +} + +void bezierpt3(double t, double p0[], double p3[], double p1[], double p2[], + double pout[]){ + double p4[3], p5[3], p6[3], p7[3], p8[3]; + int i, flg3=1; + if(p2[0]>Inf-1){ + for(i=0; i<3; i++){ + p2[i]=p3[i]; + } + flg3=0; + } + for(i=0; i<3; i++){ + p4[i]=(1-t)*p0[i]+t*p1[i]; + } + for(i=0; i<3; i++){ + p5[i]=(1-t)*p1[i]+t*p2[i]; + } + for(i=0; i<3; i++){ + p6[i]=(1-t)*p2[i]+t*p3[i]; + } + for(i=0; i<3; i++){ + p7[i]=(1-t)*p4[i]+t*p5[i]; + } + if(flg3==0){ + for(i=0; i<3; i++){ + pout[i]=p7[i]; + } + } + else{ + for(i=0; i<3; i++){ + p8[i]=(1-t)*p5[i]+t*p6[i]; + } + for(i=0; i<3; i++){ + pout[i]=(1-t)*p7[i]+t*p8[i]; + } + } +} + +int bezier3(double ptL[][3], double ctrL[][6], int num, double out[][3]){ + double p0[3], p3[3], p1[3], p2[3], pt[3], dt=1.0/num; + int i, j, n, nall; + out[0][0]=0; nall=0; + nall=appendd3(0,1,1,ptL,out); + n=length3(ptL); + for(i=1; i<=n-1; i++){ + pull3(i,ptL, p0); + pull3(i+1,ptL, p3); + p1[0]=ctrL[i][0]; p1[1]=ctrL[i][1]; p1[2]=ctrL[i][2]; + p2[0]=ctrL[i][3]; p2[1]=ctrL[i][4]; p2[2]=ctrL[i][5]; + for(j=1; j<=num; j++){ + bezierpt3(j*dt,p0,p3,p1,p2,pt); + nall=push3(pt[0],pt[1],pt[2], out); + } + } + return nall; +} + +int ospline3(int level, double ptL[][3], int num, double out[][3]){ + double ctrlist[DsizeM][6], eps0=pow(10,-6.0), tmp, cc; + double p[3], q[3], p0[3], p3[3], p1[3], p2[3], pQ[3], pR[3]; + double ptlist[DsizeM][3], tmpmd2[DsizeM][3]; + int nd, i, j, n, npt, nall, nctr, closed, flg, ndin, din[DsizeM][2], ntmp; + out[0][0]=0; nall=0; + if(num==1){ + npt=length3(ptL); + for(i=0; i<=npt; i++){ + out[i][0]=ptL[i][0]; out[i][1]=ptL[i][1]; out[i][2]=ptL[i][2]; + } + nall=length3(out); + return nall; + } + ndin=dataindexd3(2,ptL,din); + for(nd=1; nd<=ndin; nd++){ + ptlist[0][0]=0; + npt=din[nd][1]-din[nd][0]; + if(npt<=3){ + n=appendd3(0, din[nd][0], din[nd][0], ptL, ptlist); + for(i=1; i<=npt-1; i++){ + pull3(din[nd][0]+i,ptL,p); + pull3(din[nd][0]+i+1,ptL,q); + for(j=1; j<=num; j++){ + p1[0]=p[0]+1.0*j/num*(q[0]-p[0]); + p1[1]=p[1]+1.0*j/num*(q[1]-p[1]); + p1[2]=p[2]+1.0*j/num*(q[2]-p[2]); + n=addptd3(ptlist,p1); + } + } + nall=appendd3(2, 1,n,ptlist,out); + continue; + } + appendd3(0,din[nd][0],din[nd][1],ptL,ptlist); + closed=0; + pull3(1,ptlist,p); + pull3(npt,ptlist,q); + if(dist(3,p,q)<eps0){closed=1;} + ctrlist[0][0]=0; nctr=0; + for(i=1; i<=npt-1; i++){ + flg=0; + pull3(i, ptlist,p1); + pull3(i+1, ptlist,p2); + if((i==1)||(i==npt-1)){ + flg=1; + if(closed==0){ + pQ[0]=(p1[0]+2*p2[0])/3.0; + pQ[1]=(p1[1]+2*p2[1])/3.0; + pQ[2]=(p1[2]+2*p2[2])/3.0; + pR[0]=(2*p1[0]+p2[0])/3.0; + pR[1]=(2*p1[1]+p2[1])/3.0; + pR[2]=(2*p1[2]+p2[2])/3.0; + nctr++; + ctrlist[nctr][0]=pQ[0]; ctrlist[nctr][1]=pQ[1]; ctrlist[nctr][2]=pQ[2]; + ctrlist[nctr][3]=pR[0]; ctrlist[nctr][4]=pR[1]; ctrlist[nctr][5]=pR[2]; + flg=2; + } + else{ + if(i==1){ + pull3(npt-1, ptlist,p0); + pull3(i+2, ptlist,p3); + } + else{ + pull3(i-1, ptlist, p0); + pull3(2, ptlist, p3); + } + } + } + if(flg<=1){ + if(flg==0){ + pull3(i-1, ptlist, p0); + pull3(i+2, ptlist, p3); + } + p[0]=p2[0]-p0[0]; p[1]=p2[1]-p0[1]; p[2]=p2[2]-p0[2]; + q[0]=p3[0]-p1[0]; q[1]=p3[1]-p1[1]; q[2]=p3[2]-p1[2]; + tmp=1+sqrt((1+dotprod(3,p,q)/dist(3,p0,p2)/dist(3,p1,p3))/2); + cc=4*dist(3,p1,p2)/3/(dist(3,p0,p2)+dist(3,p1,p3))/tmp; + pQ[0]=p1[0]+cc*(p2[0]-p0[0]); pQ[1]=p1[1]+cc*(p2[1]-p0[1]); + pQ[2]=p1[2]+cc*(p2[2]-p0[2]); + pR[0]=p2[0]+cc*(p1[0]-p3[0]); pR[1]=p2[1]+cc*(p1[1]-p3[1]); + pR[2]=p2[2]+cc*(p1[2]-p3[2]); + nctr++; + ctrlist[nctr][0]=pQ[0]; ctrlist[nctr][1]=pQ[1]; ctrlist[nctr][2]=pQ[2]; + ctrlist[nctr][3]=pR[0]; ctrlist[nctr][4]=pR[1]; ctrlist[nctr][5]=pR[2]; + } + } + if(closed==0){ + p1[0]=ctrlist[2][0]; p1[1]=ctrlist[2][1]; p1[2]=ctrlist[2][2]; + pull3(2, ptlist, p2); + pQ[0]=p2[0]+(p2[0]-p1[0]); pQ[1]=p2[1]+(p2[1]-p1[1]); + pQ[2]=p2[2]+(p2[2]-p1[2]); + ctrlist[1][0]=pQ[0]; ctrlist[1][1]=pQ[1]; ctrlist[1][2]=pQ[2]; + ctrlist[1][3]=Inf; ctrlist[1][4]=0; ctrlist[1][5]=0; + p1[0]=ctrlist[nctr-1][3]; p1[1]=ctrlist[nctr-1][4]; p1[2]=ctrlist[nctr-1][5]; + pull3(nctr,ptlist,p2); + pQ[0]=p2[0]+(p2[0]-p1[0]); pQ[1]=p2[1]+(p2[1]-p1[1]); + pQ[2]=p2[2]+(p2[2]-p1[2]); + ctrlist[nctr][0]=pQ[0]; ctrlist[nctr][1]=pQ[1]; ctrlist[nctr][2]=pQ[2]; + ctrlist[nctr][3]=Inf; ctrlist[1][4]=0; ctrlist[1][5]=0; + } + ctrlist[0][0]=nctr; + if(length3(ptlist)>2){ + ntmp=bezier3(ptlist,ctrlist,num, tmpmd2); + nall=appendd3(2,1,ntmp,tmpmd2,out); + } + } + return nall; +} + +void segplot(double x1,double y1,double x2,double y2,double seg[][2]){ + seg[0][0]=0; + push2(x1,y1,seg); + push2(x2,y2,seg); +} + +void addsegplot(double x1,double y1,double seg[][2]){ + push2(x1,y1,seg); +} + +void circledata(double cx,double cy,double r, int num,double out[][2]){ + double t,dt,pt[2]; + int i; + dt=2*M_PI/num; + out[0][0]=0; + for(i=0; i<=num; i++){ + push2(cx+r*cos(i*dt),cy+r*sin(i*dt),out); + } +} + +void intersectline(double p1[2],double v1[2], double p2[2],double v2[2],double out[4]){ + double tmp,d,dt,ds,t,s,tmp1[2],tmp2[2],tmp3[2],pt[2]; + tmp=dotprod(2,v1,v2); + tmp1[0]=tmp; tmp1[1]=pow(norm(2,v1),2.0); + tmp2[0]=-pow(norm(2,v2),2.0);tmp2[1]=-tmp; + pt[0]=p2[0]-p1[0];pt[1]=p2[1]-p1[1]; + tmp3[0]=dotprod(2,pt,v2);tmp3[1]=dotprod(2,pt,v1); + crossprod(2,tmp1,tmp2,pt); d=pt[0]; + crossprod(2,v1,v2,pt); tmp=fabs(pt[0]); + if(tmp>Eps){ + crossprod(2,tmp3,tmp2,pt); dt=pt[0]; + crossprod(2,tmp1,tmp3,pt); ds=pt[0]; + t=dt/d; + s=ds/d; + pt[0]=p1[0]+v1[0]*t; pt[1]=p1[1]+v1[1]*t; + out[0]=pt[0];out[1]=pt[1];out[2]=t; out[3]=s; + }else{ + pt[0]=p2[0]-p1[0];pt[1]=p2[1]-p1[1]; + crossprod(2,pt,v1,tmp1); + tmp=tmp1[0]/norm(2,v1); + out[0]=fabs(tmp); out[1]=Inf; + } +} + +void intersectseg(double seg1[][2],double seg2[][2], double out[5]){ + double p1[2],q1[2],p2[2],q2[2],pt[2],pt1[2],nv[2],pts[DsizeS][4]; + double q1p1[2],q2p2[2],p1q2[2],q1p2[2],p1p2[2],q1q2[2]; + double tmp[2],tmp1[2],tmp2[2],tmp3[2],tmp4[2]; + double tmpd1,x,y,t,s,t1,s1,distance,tmpd[4],tmp3d[7]; + int ctr=0, i; + pull2(1,seg1,p1); pull2(2,seg1,q1); + pull2(1,seg2,p2); pull2(2,seg2,q2); + q1p1[0]=q1[0]-p1[0];q1p1[1]=q1[1]-p1[1]; + q2p2[0]=q2[0]-p2[0];q2p2[1]=q2[1]-p2[1]; + p1q2[0]=p1[0]-q2[0];p1q2[1]=p1[1]-q2[1]; + q1p2[0]=q1[0]-p2[0];q1p2[1]=q1[1]-p2[1]; + p1p2[0]=p1[0]-p2[0];p1p2[1]=p1[1]-p2[1]; + p1q2[0]=p1[0]-q2[0];p1q2[1]=p1[1]-q2[1]; + q1q2[0]=q1[0]-q2[0];q1q2[1]=q1[1]-q2[1]; + if((norm(2,q1p1)<Eps)||(norm(2,q2p2)<Eps)){ + out[0]=-1; out[1]=Inf; + }else{ + intersectline(p1,q1p1,p2,q2p2,tmpd); + if(tmpd[1]<Inf-Eps){ + pt[0]=tmpd[0];pt[1]=tmpd[1];t=tmpd[2];s=tmpd[3]; + if((t*(t-1)<Eps)&&(s*(s-1)<Eps)){ + out[0]=0;out[1]=pt[0];out[2]=pt[1];out[3]=t;out[4]=s; + }else{ + if(t<0){t=0;}; if(t>1){t=1;}; + if(s<0){s=0;}; if(s>1){s=1;}; + tmp3d[ctr]=norm(2,p1p2);ctr++; + tmp3d[ctr]=norm(2,p1q2);ctr++; + tmp3d[ctr]=norm(2,q1p2);ctr++; + tmp3d[ctr]=norm(2,q1q2);ctr++; + tmp1[0]=q2p2[1];tmp1[1]=-q2p2[0]; + intersectline(p1,tmp1,p2,q2p2,tmpd); + if(tmpd[1]!=Inf){ + pt1[0]=tmpd[0];pt1[1]=tmpd[1];s1=tmpd[3]; + if(s1*(s1-1)<Eps){ + tmp3d[ctr]=dist(2,pt1,p1);ctr++; + } + } + intersectline(q1,tmp1,p2,q2p2,tmpd); + if(tmpd[1]!=Inf){ + pt1[0]=tmpd[0];pt1[1]=tmpd[1];s1=tmpd[3]; + if(s1*(s1-1)<Eps){ + tmp3d[ctr]=dist(2,pt1,q1);ctr++; + } + } + tmp1[0]=q1p1[1];tmp1[1]=-q1p1[0]; + intersectline(p2,tmp1,p1,q1p1,tmpd); + if(tmpd[1]!=Inf){ + pt1[0]=tmpd[0];pt1[1]=tmpd[1];s1=tmpd[3]; + if(s1*(s1-1)<Eps){ + tmp3d[ctr]=dist(2,pt1,p2);ctr++; + } + } + intersectline(q2,tmp1,p1,q1p1,tmpd); + if(tmpd[1]!=Inf){ + pt1[0]=tmpd[0];pt1[1]=tmpd[1];s1=tmpd[3]; + if(s1*(s1-1)<Eps){ + tmp3d[ctr]=dist(2,pt1,q2);ctr++; + } + } + tmpd1=tmp3d[0]; + for(i=1;i<ctr;i++){ + if(tmp3d[i]<tmpd1){tmpd1=tmp3d[i];}; + } + out[0]=tmpd1;out[1]=pt[0];out[2]=pt[1]; + out[3]=t;out[4]=s; + } + }else{ + distance=tmpd[0]; + nv[0]=q1p1[1]/norm(2,q1p1);nv[1]=-q1p1[0]/norm(2,q1p1); + pts[0][0]=0; + intersectline(p1,nv,p2,q2p2,tmpd); + s1=tmpd[3]; + if((tmpd[1]!=Inf)&&(s1*(s1-1)<Eps)){ + x=(1-s1)*p2[0]+s1*q2[0];y=(1-s1)*p2[1]+s1*q2[1]; + push4(x,y,0,s1,pts); + } + intersectline(q1,nv,p2,q2p2,tmpd); + s1=tmpd[3]; + if((tmpd[1]!=Inf)&&(s1*(s1-1)<Eps)){ + x=(1-s1)*p2[0]+s1*q2[0];y=(1-s1)*p2[1]+s1*q2[1]; + push4(x,y,1,s1,pts); + } + intersectline(p2,nv,p1,q1p1,tmpd); + s1=tmpd[3]; + if((tmpd[1]!=Inf)&&(s1*(s1-1)<Eps)){ + x=(1-s1)*p1[0]+s1*q1[0];y=(1-s1)*p1[1]+s1*q1[1]; + push4(x,y,s1,0,pts); + } + intersectline(q2,nv,p1,q1p1,tmpd); + if((tmpd[1]!=Inf)&&(s1*(s1-1)<Eps)){ + x=(1-s1)*p1[0]+s1*q1[0];y=(1-s1)*p1[1]+s1*q1[1]; + push4(x,y,s1,2,pts); + } + if(length4(pts)==0){ + tmpd1=norm(2,p1p2); + if(norm(2,p1q2)<tmpd1){tmpd1=norm(2,p1q2);} + if(norm(2,q1p2)<tmpd1){tmpd1=norm(2,q1p2);} + if(norm(2,q1q2)<tmpd1){tmpd1=norm(2,q1q2);} + out[0]=tmpd1;out[1]=Inf; + }else{ + if(distance>Eps1){ + out[0]=distance;out[1]=Inf; + }else{ + x=0; y=0; + for(i=1; i<=length4(pts); i++){ + x=x+pts[i][0]; + y=y+pts[i][1]; + } + tmp3[0]=x/length4(pts); tmp3[1]=y/length4(pts); + nearestptpt(tmp3,seg1,tmpd); + t=tmpd[2]; + nearestptpt(tmp3,seg2,tmpd); + s=tmpd[2]; + out[0]=distance; out[1]=tmp3[0]; out[2]=tmp3[1]; + out[3]=t;out[4]=s; + } + } + } + } +} + +int osplineseg(double ptlist[5][2],int num,double out[][2]){ + double p0[2],p1[2],p2[2],p3[2],p2p0[2],p3p1[2],p2p1[2]; + double tmp,cc,pq[2],pr[2],knots[3][2],ctrlist[2][4]; + pull2(1,ptlist,p0); pull2(2,ptlist,p1); + pull2(3,ptlist,p2); pull2(4,ptlist,p3); + p2p0[0]=p2[0]-p0[0];p2p0[1]=p2[1]-p0[1]; + p3p1[0]=p3[0]-p1[0];p3p1[1]=p3[1]-p1[1]; + p2p1[0]=p2[0]-p1[0];p2p1[1]=p2[1]-p1[1]; + tmp=norm(2,p2p0)*norm(2,p3p1); + tmp=1+sqrt((1+dotprod(2,p2p0,p3p1)/tmp)/2); + cc=4*norm(2,p2p1)/3/(norm(2,p2p0)+norm(2,p3p1))/tmp; + pq[0]=p1[0]+cc*p2p0[0]; pq[1]=p1[1]+cc*p2p0[1]; + pr[0]=p2[0]-cc*p3p1[0];pr[1]=p2[1]-cc*p3p1[1]; + ctrlist[0][0]=0; + push4(pq[0],pq[1],pr[0],pr[1],ctrlist); + knots[0][0]=0; + addptd2(knots,p1);addptd2(knots,p2); + bezier(knots,ctrlist,num,out); + return length2(out); +} + +void intersectpartseg(double crv1[][2],double crv2[][2],int ii, int jj,int num,double out[6]){ + double distance=10*Eps2,seg1[3][2],seg2[3][2],tmpd[2],tmp1d[2],tmp2d[2]; + double tmp,snang,dst,tmpd5[5],os1[DsizeS][2],os2[DsizeS][2]; + double p0[2],p1[2],p2[2],p3[2],ptlist[5][2],regard[3][2]; + double tmp1md[20][2],tmpd3[3],tmp3md3[20][3],tmp2md3[20][3]; + double tmpd4[4],Eps00=pow(10,-8.0); + double sx,sy; + int kk,ll,nn; + out[0]=Inf; + for(kk=1;kk<6;kk++){out[kk]=0;} + seg1[0][0]=0;seg2[0][0]=0; + appendd2(1,ii,ii+1,crv1,seg1); + appendd2(1,jj,jj+1,crv2,seg2); + pull2(2,seg1,tmp1d); + pull2(1,seg1,tmpd); + tmp1d[0]=tmp1d[0]-tmpd[0]; tmp1d[1]=tmp1d[1]-tmpd[1]; + pull2(2,seg2,tmp2d); + pull2(1,seg2,tmpd); + tmp2d[0]=tmp2d[0]-tmpd[0]; tmp2d[1]=tmp2d[1]-tmpd[1]; + crossprod(2,tmp1d,tmp2d,tmpd); + snang=fabs(tmpd[0])/(norm(2,tmp1d)*norm(2,tmp2d)); + intersectseg(seg1,seg2,tmpd5); + dst=tmpd5[0]; + if(dst<Eps){ + if(dst>-Eps){ + out[0]=tmpd5[1];out[1]=tmpd5[2];out[2]=ii+tmpd5[3]; + out[3]=jj+tmpd5[4];out[4]=dst;out[5]=snang; + } + }else{ + if(dst<Eps2){ + os1[0][0]=0;os2[0][0]=0; + pull2(1,seg1,tmp1d); + pull2(2,seg1,tmp2d); + tmpd[0]=tmp2d[0]-tmp1d[0];tmpd[1]=tmp2d[1]-tmp1d[1]; + if((length2(crv1)==2)||(norm(2,tmpd)>distance-Eps)){ + appendd2(1,1,2,seg1,os1); + }else{ + pull2(1,seg1,p1);pull2(2,seg1,p2); + if(ii==1){ + pull2(3,crv1,p3); + tmpd[0]=p2[0]-p1[0];tmpd[1]=p2[1]-p1[1]; + tmp1d[0]=(p1[0]+p2[0])/2; + tmp1d[1]=(p1[1]+p2[1])/2; + tmp2d[0]=tmp1d[0]+tmpd[1]; + tmp2d[1]=tmp1d[1]-tmpd[0]; + regard[0][0]=0; + addptd2(regard,tmp1d); addptd2(regard,tmp2d); + reflectpoint(p3,regard,p0); + }else{ + if(ii==length2(crv1)-1){ + pull2(ii-1,crv1,p0); + tmpd[0]=p2[0]-p1[0]; tmpd[1]=p2[1]-p1[1]; + tmp1d[0]=(p1[0]+p2[0])/2; + tmp1d[1]=(p1[1]+p2[1])/2; + tmp2d[0]=tmp1d[0]+tmpd[1]; + tmp2d[1]=tmp1d[1]-tmpd[0]; + regard[0][0]=0; + addptd2(regard,tmp1d); addptd2(regard,tmp2d); + reflectpoint(p0,regard,p3); + }else{ + pull2(ii-1,crv1,p0);pull2(ii+2,crv1,p3); + } + } + ptlist[0][0]=0; + addptd2(ptlist,p0);addptd2(ptlist,p1); + addptd2(ptlist,p2);addptd2(ptlist,p3); + osplineseg(ptlist,num,os1); + } + pull2(1,seg2,tmp1d); + pull2(2,seg2,tmp2d); + if((length2(crv2)==2)||(dist(2,tmp2d,tmp1d)>distance-Eps)){ + appendd2(1,1,2,seg2,os2); + }else{ + pull2(1,seg2,p1);pull2(2,seg2,p2); + if(jj==1){ + pull2(3,crv2,p3); + tmpd[0]=p2[0]-p1[0];tmpd[1]=p2[1]-p1[1]; + tmp1d[0]=(p1[0]+p2[0])/2; + tmp1d[1]=(p1[1]+p2[1])/2; + tmp2d[0]=tmp1d[0]+tmpd[1]; + tmp2d[1]=tmp1d[1]-tmpd[0]; + regard[0][0]=0; + addptd2(regard,tmp1d); addptd2(regard,tmp2d); + reflectpoint(p3,regard,p0); + }else{ + if(jj==length2(crv2)-1){ + pull2(jj-1,crv2,p0); + tmpd[0]=p2[0]-p1[0]; tmpd[1]=p2[1]-p1[1]; + tmp1d[0]=(p1[0]+p2[0])/2; + tmp1d[1]=(p1[1]+p2[1])/2; + tmp2d[0]=tmp1d[0]+tmpd[1]; + tmp2d[1]=tmp1d[1]-tmpd[0]; + regard[0][0]=0; + addptd2(regard,tmp1d); addptd2(regard,tmp2d); + reflectpoint(p0,regard,p3); + }else{ + pull2(jj-1,crv2,p0);pull2(jj+2,crv2,p3); + } + } + ptlist[0][0]=0; + addptd2(ptlist,p0);addptd2(ptlist,p1); + addptd2(ptlist,p2);addptd2(ptlist,p3); + osplineseg(ptlist,num,os2); + } + tmp2md3[0][0]=0; + for(kk=1;kk<length2(os1);kk++){ + for(ll=1;ll<length2(os2);ll++){ + seg1[0][0]=0; seg2[0][0]=0; + pull2(kk,os1,tmpd);addptd2(seg1,tmpd); + pull2(kk+1,os1,tmpd);addptd2(seg1,tmpd); + pull2(ll,os2,tmpd);addptd2(seg2,tmpd); + pull2(ll+1,os2,tmpd);addptd2(seg2,tmpd); + intersectseg(seg1,seg2,tmpd5); + if((tmpd5[0]<Eps1)&&(tmpd5[1]<Inf-Eps)){ + if(tmpd5[0]<dst+Eps00){ + dst=tmpd5[0]; + tmp3md3[0][0]=0; + for(nn=1;nn<=length3(tmp2md3);nn++){ + pull3(nn,tmp2md3,tmpd3); + if(tmpd3[0]<dst+Eps00){ + addptd3(tmp3md3,tmpd3); + } + } + tmp2md3[0][0]=0; + for(nn=1;nn<=length3(tmp3md3);nn++){ + pull3(nn,tmp3md3,tmpd3); + addptd3(tmp2md3,tmpd3); + } + push3(dst,tmpd5[1],tmpd5[2],tmp2md3); + } + } + } + } + if(length3(tmp2md3)>0){ + tmp1md[0][0]=0; + sx=0; sy=0; + for(nn=1;nn<=length3(tmp2md3);nn++){ + pull3(nn,tmp2md3,tmpd3); + push2(tmpd3[1],tmpd3[2],tmp1md); + sx=sx+tmpd3[1]; + sy=sy+tmpd3[2]; + } + sx=sx/length3(tmp2md3); + sy=sy/length3(tmp2md3); + p0[0]=sx; p0[1]=sy; + pull2(ii,crv1,p1); pull2(ii+1,crv1,p2); + tmp1d[0]=p2[0]-p1[0];tmp1d[1]=p2[1]-p1[1]; + tmpd[0]=tmp1d[1];tmpd[1]=-tmp1d[0]; + intersectline(p0,tmpd,p1,tmp1d,tmpd4); + tmp=tmpd4[3]; + if(tmp<0){tmp=0;} + if(tmp>1){tmp=1;} + out[0]=sx;out[1]=sy;out[2]=ii+tmp; + pull2(jj,crv2,p1); pull2(jj+1,crv2,p2); + tmp1d[0]=p2[0]-p1[0];tmp1d[1]=p2[1]-p1[1]; + tmpd[0]=tmp1d[1];tmpd[1]=-tmp1d[0]; + intersectline(p0,tmpd,p1,tmp1d,tmpd4); + tmp=tmpd4[3]; + if(tmp<0){tmp=0;} + if(tmp>1){tmp=1;} + out[3]=jj+tmp;out[4]=dst;out[5]=snang; + } + } + } +} + +void collectsameseg(double ptdL[][6],double rL[][6]){ + double Eps00=pow(10,-8.0),tmp1d[2],tmp2d[2],tmp1d6[6],tmp2d6[6]; + int ii,jj,kk,nr,ctr,numL[40],diffL[40]; + double s1,e1,s2,e2,dst,tmp1,tmp2,tmp1md6[40][6]; + rL[0][0]=0; + if(length6(ptdL)==0){ + return; + } + for(ii=2;ii<=length6(ptdL);ii++){ + pull6(ii,ptdL,tmp1d6);addptd6(rL,tmp1d6); + } + tmp1md6[0][0]=0; + pull6(1,ptdL,tmp1d6); + addptd6(tmp1md6,tmp1d6); + kk=tmp1d6[2]; + if(tmp1d6[2]<kk+Eps00){ + s1=kk-1-Eps00;e1=s1+2+2*Eps00; + }else{ + s1=kk-Eps00; e1=s1+1+2*Eps00; + } + kk=tmp1d6[3]; + if(tmp1d6[3]<kk+Eps00){ + s2=kk-1-Eps00;e2=s2+2+2*Eps00; + }else{ + s2=kk-Eps00; e2=s2+1+2*Eps00; + } + ctr=1;numL[0]=0; + for(ii=1;ii<=length6(rL);ii++){ + pull6(ii,rL,tmp1d6); + tmp1=tmp1d6[2]; tmp2=tmp1d6[3]; + if((tmp1>s1)&&(tmp1<e1)&&(tmp2>s2)&&(tmp2<e2)){ + addptd6(tmp1md6,tmp1d6); + numL[ctr]=ii;ctr++; + } + } + dst=100; + for(ii=1;ii<=length6(tmp1md6);ii++){ + pull6(ii,tmp1md6,tmp1d6); + if(tmp1d6[4]<dst){ + dst=tmp1d6[4]; + } + } + ptdL[0][0]=0; + for(ii=1;ii<=length6(tmp1md6);ii++){ + pull6(ii,tmp1md6,tmp1d6); + if(tmp1d6[4]<dst+Eps00){ + addptd6(ptdL,tmp1d6); + } + } + for(ii=0;ii<=length6(rL);ii++){ + diffL[ii]=0; + } + for(ii=1;ii<=ctr;ii++){ + kk=numL[ii]; + diffL[kk]=1; + } + nr=length6(rL); + rL[0][0]=0; + for(ii=1;ii<=nr;ii++){ + if(diffL[ii]==0){ + pull6(ii,rL,tmp1d6);addptd6(rL,tmp1d6); + } + } +} + +void intersectcurvesPp(double crv1s[][2],double crv2s[][2],int num,double out[][6]){ + double Eps00=pow(10,-8.0),Dist=10*Eps2, crv1[DsizeL][2],crv2[DsizeL][2]; + double tmp1md6[DsizeS][6],tmp2md6[DsizeS][6]; + double tmpd[2],tmp1d[2],tmp2d[2],tmpd6[6],tmp1d6[6]; + double sx,sy,dst,ans[4]; + int ii,jj,kk,nall,self,js,je; + crv1[0][0]=0; + pull2(1,crv1s,tmpd);addptd2(crv1,tmpd); + for(ii=2;ii<=length2(crv1s);ii++){ + pull2(length2(crv1),crv1,tmp1d); + pull2(ii,crv1s,tmp2d); + if(dist(2,tmp1d,tmp2d)>Eps){ + addptd2(crv1,tmp2d); + } + } + crv2[0][0]=0; + pull2(1,crv2s,tmpd); + addptd2(crv2,tmpd); + for(ii=2;ii<=length2(crv2s);ii++){ + pull2(length2(crv2),crv2,tmp1d); + pull2(ii,crv2s,tmp2d); + if(dist(2,tmp1d,tmp2d)>Eps){ + addptd2(crv2,tmp2d); + } + } + if(length2(crv1)!=length2(crv2)){ + self=0; + }else{ + self=1; + for(ii=1;ii<=length2(crv1);ii++){ + pull2(ii,crv1,tmp1d);pull2(ii,crv2,tmp2d); + if(dist(2,tmp1d,tmp2d)>0){ + self=0; + break; + } + } + } + tmp1md6[0][0]=0; + for(ii=1;ii<=length2(crv1)-1;ii++){ + if(self==0){ + js=1; je=length2(crv2)-1; + }else{ + js=ii+2; je=length2(crv2)-1; + } + for(jj=js;jj<=je;jj++){ + intersectpartseg(crv1,crv2,ii,jj,num,tmpd6); + if(tmpd6[0]<Inf-Eps){ + tmpd[0]=tmpd6[0];tmpd[1]=tmpd6[1]; + if(length6(tmp1md6)==0){ + addptd6(tmp1md6,tmpd6); + }else{ + pull6(length6(tmp1md6),tmp1md6,tmp1d6); + tmp1d[0]=tmp1d6[0];tmp1d[1]=tmp1d6[1]; + if(dist(2,tmp1d,tmpd)>Eps1){ + addptd6(tmp1md6,tmpd6); + } + } + if(self==1){ + push6(tmpd6[0],tmpd6[1],tmpd6[3],tmpd6[2],tmpd6[4],tmpd6[5],tmp1md6); + } + } + } + } + out[0][0]=0; + tmp2md6[0][0]=0; + while(length6(tmp1md6)>0){ + collectsameseg(tmp1md6,tmp2md6); + dst=100; + for(ii=1;ii<=length6(tmp1md6);ii++){ + pull6(ii,tmp1md6,tmpd6); + if(tmpd6[4]<dst){ + dst=tmpd6[4]; + } + } + sx=0; sy=0;nall=0; + for(ii=1;ii<=length6(tmp1md6);ii++){ + pull6(ii,tmp1md6,tmpd6); + if(tmpd6[4]<dst+Eps00){ + nall++; + sx=sx+tmpd6[0]; sy=sy+tmpd6[1]; + } + tmp1d[0]=sx/nall; tmp1d[1]=sy/nall; + tmp1d6[0]=tmp1d[0];tmp1d6[1]=tmp1d[1]; + nearestptpt(tmp1d,crv1,ans); + tmp1d6[2]=ans[2]; + nearestptpt(tmp1d,crv2,ans); + tmp1d6[3]=ans[2]; + tmp1d6[4]=dst; + tmp1d6[5]=tmpd6[5]; + addptd6(out,tmp1d6); + } + tmp1md6[0][0]=0; + for(ii=1;ii<=length6(tmp2md6);ii++){ + pull6(ii,tmp2md6,tmpd6);addptd6(tmp1md6,tmpd6); + } + } +} + +void intersectcurves(double crv1[][2],double crv2[][2],int num,double out[][2]){ + double out6[DsizeS][6],tmpd[2],tmpd6[6]; + int jj; + intersectcurvesPp(crv1,crv2,num,out6); + out[0][0]=0; + for(jj=1;jj<=length6(out6);jj++){ + pull6(jj,out6,tmpd6);push2(tmpd6[0],tmpd6[1],out); + } +} diff --git a/Master/texmf-dist/scripts/ketcindy/ketlibC/ketcommonhead.h b/Master/texmf-dist/scripts/ketcindy/ketlibC/ketcommonhead.h new file mode 100644 index 00000000000..7e83a2b9e83 --- /dev/null +++ b/Master/texmf-dist/scripts/ketcindy/ketlibC/ketcommonhead.h @@ -0,0 +1,97 @@ +int length1(double gdata[]); +int length2(double gdata[][2]); +int length3(double gdata[][3]); +int length4(double gdata[][4]); +int length5(double gdata[][5]); +int length6(double gdata[][6]); +int length2i(int gdata[][2]); +void copyd(int from, int upto, double q[], double p[]); +void copyi(int from, int upto, int q[], int p[]); +int addptd2(double gdata[][2], double pt[2]); +int addptd3(double gdata[][3], double pt[3]); +int addptd4(double gdata[][4], double pt[4]); +int addptd5(double gdata[][5], double pt[5]); +int addptd6(double gdata[][6], double pt[6]); +int add2(double gdata[][2], double x, double y); +int add3(double gdata[][3], double x, double y, double z); +int push2(double x, double y, double ptL[][2]); +int push3(double x, double y, double z, double ptL[][3]); +int push4(double x, double y, double z, double w, double ptL[][4]); +int push5(double x, double y, double z, double w, double u, double ptL[][5]); +int push6(double x, double y, double z, double w, double u, double v,double ptL[][6]); +void pull2(int num, double ptL[][2],double pt[2]); +void pull3(int num, double ptL[][3],double pt[3]); +void pull4(int num, double ptL[][4],double pt[4]); +void pull5(int num, double ptL[][5],double pt[5]); +void pull6(int num, double ptL[][6],double pt[6]); +int appendd2(int level, int from,int upto, double gdata[][2],double mat[][2]); +int appendd3(int level, int from,int upto, double gdata[][3],double mat[][3]); +int prependd2(int from,int upto, double gdata[][2],double mat[][2]); +int appendd1(double numvec[], double num); +int appendi1(int numvec[],int num); +int prependi1(int num, int numvec[]); +int removei2(int nrmv,int mat[][2]); +int dataindexi1(int out[],int din[][2]); +int dataindexd1(double out[],int din[][2]); +int dataindexd2(int level,double out[][2],int din[][2]); +int dataindexd3(int level, double out[][3],int din[][2]); +int dataindexd4(int level, double out[][4],int din[][2]); +void dispvec(int n,double dt[]); +void dispveci(int n,int dt[]); +void dispmatd2(int from, int upto, double mat[][2]); +void dispmatd3(int from, int upto, double mat[][3]); +void dispmatd4(int from, int upto, double mat[][4]); +void dispmatd5(int from, int upto, double mat[][5]); +void dispmatd6(int from, int upto, double mat[][6]); +void dispmatd2all(double mat[][2]); +void dispmatd3all(double mat[][3]); +void dispmatd4all(double mat[][4]); +void dispmatd5all(double mat[][5]); +void dispmatd6all(double mat[][6]); +void dispmati2(int from, int upto, int mat[][2]); +void dispmati1(int from, int upto, int mat[]); +void readdata3(const char *fname, double out[][3]); +void readdata2(const char *fname, double out[][2]); +int output2(const char *var, const char *fname, int level, double out[][2]); +void simplesort(double number[]); +int memberi(int a, int list[]); +double dotprod(int dim, double p[], double q[]); +double norm(int dim, double p[]); +double dist(int dim, double p[], double q[]); +void crossprod(int dim,double a[3],double b[3], double out[3]); +void reflectpoint(double p1[2],double regard[][2],double p2[2]); +void pointoncurve(double t, double gdata[][2], double eps, double pt[]); +int partcrv(double a,double b,double pkL[][2], double pL[][2]); +int partcrv3(double a,double b,double pkL[][3], double pL[][3]); +int connectseg(double pdata[][2], double eps, double out[][2]); +void koutenseg(double a[2], double b[2], double c[2], double d[2], + double eps, double eps2, double out[4]); +double paramoncurve(double p[2], int n, double ptL[][2]); +void nearestptpt(double pa[2], double pL[][2], double ans[4]); +int intersectselfPp(double data1[][2],double eps,double eps1s,double kL[][4]); +int intersectcrvsPp(double data1[][2], double data2[][2], + double eps,double eps1s, double kL[][4]); +int dropnumlistcrv(double qd[][2], double eps1, int out[]); +int increasept2(double ptL[][2], int nn, double out[][2]); +int increasept3(double ptL[][3], int nn, double out[][3]); +void bezierpt(double t, double p0[2], double p3[2], + double p1[2], double p2[2], double ptout[2]); +int bezier(double ptL[][2], double ctrL[][4], int num, double out[][2]); +int ospline(int level, double ptL[][2], int num, double out[][2]); +void bezierpt3(double t, double p0[3], double p3[3], + double p1[3], double p2[3], double ptout[3]); +int bezier3(double ptL[][3], double ctrL[][6], int num, double out[][3]); +int ospline3(int level, double ptL[][3], int num, double out[][3]); +void segplot(double x1,double y1,double x2,double y2,double seg[][2]); +void addsegplot(double x1,double y1,double seg[][2]); +void circledata(double cx,double cy,double r, int num,double out[][2]); +void intersectline(double p1[2],double v1[2], double p2[2],double v2[2],double out[4]); +void intersectseg(double seg1[][2],double seg2[][2], double out[5]); +int osplineseg(double ptlist[5][2],int num,double out[][2]); +void intersectpartseg(double crv1[][2],double crv2[][2],int ii, int jj,int num,double out[6]); +void collectsameseg(double ptdL[][6],double rL[][6]); +void intersectcurvesPp(double crv1s[][2],double crv2s[][2],int num,double out[][6]); +void intersectcurves(double crv1[][2],double crv2[][2],int num,double out[][2]); + +const double Inf=99999; +const int Infint=30000; diff --git a/Master/texmf-dist/scripts/ketcindy/ketlibC/surflib.h b/Master/texmf-dist/scripts/ketcindy/ketlibC/surflib.h new file mode 100644 index 00000000000..d9c0fbdc18c --- /dev/null +++ b/Master/texmf-dist/scripts/ketcindy/ketlibC/surflib.h @@ -0,0 +1,2098 @@ +// 17.06.16 crvsfparadata changed ( num of devision ) + +int output3(const char *var, const char *fname, int level, double out[][3]){ + int nall=floor(out[0][0]+0.5), ndin, din[DsizeM][2],i,j,ctr; + double tmpd[3]; + FILE *fp; + fp=fopen(fname,"w"); + if (fp == NULL) { + printf("cannot open\n"); + return -1; +// exit(1); + } + ndin=dataindexd3(level, out,din); + fprintf(fp,"%s//\n",var); //17.05.29 +// fprintf(fp,"%s3d//\n",var2); + for(i=1; i<=ndin; i++){ + fprintf(fp,"start//\n"); + fprintf(fp,"["); + ctr=0; + for(j=din[i][0]; j<=din[i][1]; j++){ + pull3(j,out,tmpd); + fprintf(fp,"[ %7.5f, %7.5f, %7.5f]",tmpd[0],tmpd[1],tmpd[2]); + ctr++; + if(ctr==5){ + fprintf(fp,"]//\n["); + ctr=0; + }else{ + if(j<din[i][1]){ + fprintf(fp,","); + } + } + } + fprintf(fp,"]//\n"); + if(i<ndin){ + fprintf(fp,"end//\n"); + } + else{ + fprintf(fp,"end////\n"); + } + } + fclose(fp); + return 0; +} + +int output3h(const char *var, const char *varh, const char *fname, double out[][3]){ + // 17.06.09 + double out1[DsizeLL][3], tmpd[3]; + int din1[DsizeM][2],din2[DsizeM][2], i, j,ctr; + FILE *fp; + fp=fopen(fname,"w"); + if (fp == NULL) { + printf("cannot open\n"); + return -1; + } + dataindexd3(3,out,din1); + out1[0][0]=0; + appendd3(0, din1[1][0],din1[1][1],out,out1); + dataindexd3(2, out1,din2); + fprintf(fp,"%s//\n",var); + for(i=1; i<=length2i(din2); i++){ + fprintf(fp,"start//\n"); + fprintf(fp,"["); + ctr=0; + for(j=din2[i][0]; j<=din2[i][1]; j++){ + pull3(j,out1,tmpd); + fprintf(fp,"[ %7.5f, %7.5f, %7.5f]",tmpd[0],tmpd[1],tmpd[2]); + ctr++; + if(ctr==5){ + if(j<din2[i][1]){ + fprintf(fp,"]//\n["); + ctr=0; + } + }else{ + if(j<din2[i][1]){ + fprintf(fp,","); + } + } + } + fprintf(fp,"]//\n"); + fprintf(fp,"end//\n"); + } + out1[0][0]=0; + fprintf(fp,"%s//\n",varh); //17.06.16from + appendd3(0, din1[2][0],din1[2][1],out,out1); + dataindexd3(2, out1,din2); + for(i=1; i<=length2i(din2); i++){ + fprintf(fp,"start//\n"); + fprintf(fp,"["); + for(j=din2[i][0]; j<=din2[i][1]; j++){ + pull3(j,out1,tmpd); + fprintf(fp,"[ %7.5f, %7.5f, %7.5f]",tmpd[0],tmpd[1],tmpd[2]); + ctr++; + if(ctr==5){ + if(j<din2[i][1]){ + fprintf(fp,"]//\n["); + ctr=0; + } + }else{ + if(j<din2[i][1]){ + fprintf(fp,","); + } + } + } + fprintf(fp,"]//\n"); +// if(i<ndin2){ + fprintf(fp,"end//\n"); +// } +// else{ +// fprintf(fp,"end////\n"); +// } + } + fprintf(fp,"//\n"); + fclose(fp); + return 0; +} + +int writedataC(const char *fname, double out[][3]){ + int i, nall; + FILE *fp; + nall=length3(out); + fp=fopen(fname,"w"); + for(i=1; i<=nall; i++){ + fprintf(fp,"%7.5f %7.5f %7.5f\n",out[i][0],out[i][1],out[i][2]); + } + fprintf(fp,"%7.5f %7.5f %7.5f\n",Inf,Inf,Inf); + fclose(fp); + return nall; +} + +int readdataC(const char *fname, double data[][3]){ + int i, j, ndata=0; + FILE *fp; + fp=fopen(fname,"r"); + if(fp==NULL){ + printf("file not found\n"); + return 1; + } + while( ! feof(fp) && ndata<DsizeL){ + ndata++; + for(j=0;j<=2;j++){ + fscanf(fp,"%lf",&data[ndata][j]); + } + if(data[ndata][1]==Inf){ + ndata--; + break; + } + } + fclose(fp); + data[0][0]=ndata; + return ndata; +} + +void parapt(double pt3[3],double pt2[2]){ + if(fabs(pt3[0])>Inf-1){ + pt2[0]=pt3[0]; pt2[1]=pt3[1]; + } + else{ + pt2[0]=-pt3[0]*sin(PHI)+pt3[1]*cos(PHI); + pt2[1]=-pt3[0]*cos(PHI)*cos(THETA)-pt3[1]*sin(PHI)*cos(THETA)+pt3[2]*sin(THETA); + } +} + +int projpara(double p3[][3], double p2[][2]){ + double pt3[3], pt2[2]; + int i, nall, nall2; + nall=length3(p3); + p2[0][0]=0; + for(i=1; i<=nall; i++){ + pull3(i,p3,pt3); + parapt(pt3,pt2); + nall2=addptd2(p2,pt2); + } + return nall2; +} + +double invparapt(double ph, double fh[][2], double fk[][3],double out[3]){ + int n, nfk=length3(fk), nph=length2(fh); + double s0=ph-n, ak[3], bk[3], ah[2], bh[2], pk[3]; + if(nfk>2){ + n=trunc(ph); + s0=ph-n; + if(ph>nph-Eps){ + out[0]=fk[nfk][0]; out[1]=fk[nfk][1]; out[2]=fk[nfk][2]; + return nph; + } + } + else{ + n=1; + s0=ph-1; + } + ak[0]=fk[n][0]; ak[1]=fk[n][1]; ak[2]=fk[n][2]; + bk[0]=fk[n+1][0]; bk[1]=fk[n+1][1]; bk[2]=fk[n+1][2]; + ah[0]=fh[n][0]; ah[1]=fh[n][1]; + bh[0]=fh[n+1][0]; bh[1]=fh[n+1][1]; + out[0]=(1-s0)*ak[0]+s0*bk[0]; + out[1]=(1-s0)*ak[1]+s0*bk[1]; + out[2]=(1-s0)*ak[2]+s0*bk[2]; + return n+s0; +} + +int surfcurve(short ch,int level, double crv[][2], double pdata[][3]){ + double p2[2], pt[3]; + int i, n, nall; + n=length2(crv); + pdata[0][0]=0; + for(i=1; i<=n; i++){ + pull2(i,crv,p2); + surffun(ch,p2[0],p2[1],pt); + nall=addptd3(pdata,pt); + } + return nall; +} + +int xyzax3data(double x0, double x1, double y0, double y1, double z0, double z1, + double out[][3]){ + int nall; + double pd3[10][3]; + out[0][0]=0; nall=0; + pd3[0][0]=2; + pd3[1][0]=x0; pd3[1][1]=0; pd3[1][2]=0; + pd3[2][0]=x1; pd3[2][1]=0; pd3[2][2]=0; + nall=appendd3(2,1,2,pd3,out); + pd3[1][0]=0; pd3[1][1]=y0; pd3[1][2]=0; + pd3[2][0]=0; pd3[2][1]=y1; pd3[2][2]=0; + nall=appendd3(2,1,2,pd3,out); + pd3[1][0]=0; pd3[1][1]=0; pd3[1][2]=z0; + pd3[2][0]=0; pd3[2][1]=0; pd3[2][2]=z1; + nall=appendd3(2,1,2,pd3,out); + return nall; +} + +void evlptablepara(short ch){ + int i, j; + double u,v,u1,u2,v1,v2,pt1[3],pt2[3],pt2d1[2],pt2d2[2],dxu,dyu,dxv,dyv; + double du=(Urng[1]-Urng[0])/Mdv, dv=(Vrng[1]-Vrng[0])/Ndv; + double eps=0.00001; + for (j= 0; j < Ndv+1; j++) { + v=Vrng[0]+j*dv; + v1=v-eps/2; v2=v+eps/2; + for (i = 0; i < Mdv+1; i++) { + u=Urng[0]+i*du; + u1=u-eps/2; u2=u+eps/2; + surffun(ch,u1,v,pt1); parapt(pt1,pt2d1); + surffun(ch,u2,v,pt2); parapt(pt2,pt2d2); + dxu=(pt2d2[0]-pt2d1[0])/eps; + dyu=(pt2d2[1]-pt2d1[1])/eps; + surffun(ch,u,v1,pt1); parapt(pt1,pt2d1); + surffun(ch,u,v2,pt2); parapt(pt2,pt2d2); + dxv=(pt2d2[0]-pt2d1[0])/eps; + dyv=(pt2d2[1]-pt2d1[1])/eps; + Zval[j][i]=dxu*dyv-dxv*dyu; + } + } + for (i = 0; i < Mdv+1; i++) { + Xval[i]=Urng[0]+i*du; + } + for (j= 0; j < Ndv+1; j++) { + Yval[j]=Vrng[0]+j*dv; + } +}; + +double evlpfun(short ch, double u, double v){ + double u1,u2,v1,v2,pt1[3],pt2[3],pt2d1[2],pt2d2[2],dxu,dyu,dxv,dyv; + double du=(Urng[1]-Urng[0])/Mdv, dv=(Vrng[1]-Vrng[0])/Ndv; + double eps=0.00001; + u1=u-eps/2; u2=u+eps/2; + if(u1<Urng[0]){u1=Urng[0];} + if(u2>Urng[1]){u2=Urng[1];} + surffun(ch,u1,v,pt1); parapt(pt1,pt2d1); + surffun(ch,u2,v,pt2); parapt(pt2,pt2d2); + dxu=(pt2d2[0]-pt2d1[0])/(u2-u1); + dyu=(pt2d2[1]-pt2d1[1])/(u2-u1); + v1=v-eps/2; v2=v+eps/2; + if(v1<Vrng[0]){v1=Vrng[0];} + if(v2>Vrng[1]){v2=Vrng[1];} + surffun(ch,u,v1,pt1); parapt(pt1,pt2d1); + surffun(ch,u,v2,pt2); parapt(pt2,pt2d2); + dxv=(pt2d2[0]-pt2d1[0])/(v2-v1); + dyv=(pt2d2[1]-pt2d1[1])/(v2-v1); + return dxu*dyv-dxv*dyu; +}; + +int envelopedata(short ch, double out[][2]){ + int i, j, k, ctrq=0,ctr, nall; + double uval1,uval2,vval1,vval2,eval11,eval12,eval21,eval22; + double pl[5][2], vl[5], ql[11][2], out2[DsizeM][2]; + double du=(Urng[1]-Urng[0])/Mdv; + double dv=(Vrng[1]-Vrng[0])/Mdv; + ctr=0; + for (j = 0; j < Ndv; j++) { + vval1=Vrng[0]+j*dv; + vval2=Vrng[0]+(j+1)*dv; + uval1=Urng[0]; + eval11=evlpfun(ch,uval1,vval1); + eval12=evlpfun(ch,uval1,vval2); + for (i = 0; i < Mdv; i++) { + uval2=Urng[0]+(i+1)*du; + eval21=evlpfun(ch,uval2,vval1); + eval22=evlpfun(ch,uval2,vval2); + pl[0][0]=uval1; pl[0][1]=vval1; vl[0]=eval11; + pl[1][0]=uval2; pl[1][1]=vval1; vl[1]=eval21; + pl[2][0]=uval2; pl[2][1]=vval2; vl[2]=eval22; + pl[3][0]=uval1; pl[3][1]=vval2; vl[3]=eval12; + pl[4][0]=uval1; pl[4][1]=vval1; vl[4]=eval11; + ctrq=0; + for (k = 0; k < 4; k++) { + if(fabs(vl[k])<=Eps){ + ql[ctrq][0]=pl[k][0]; + ql[ctrq][1]=pl[k][1]; + ctrq++; + } + else if(vl[k]>Eps){ + if(vl[k+1]< -Eps){ + ql[ctrq][0]=1/(vl[k]-vl[k+1])*(-vl[k+1]*pl[k][0]+vl[k]*pl[k+1][0]); + ql[ctrq][1]=1/(vl[k]-vl[k+1])*(-vl[k+1]*pl[k][1]+vl[k]*pl[k+1][1]); + ctrq++; + } + } + else{ + if(vl[k+1]>Eps){ + ql[ctrq][0]=1/(-vl[k]+vl[k+1])*(vl[k+1]*pl[k][0]-vl[k]*pl[k+1][0]); + ql[ctrq][1]=1/(-vl[k]+vl[k+1])*(vl[k+1]*pl[k][1]-vl[k]*pl[k+1][1]); + ctrq++; + } + } + } + uval1=uval2; + eval11=eval21; + eval12=eval22; + if(ctrq==2){ + if(ctr>0){ + ctr++; + out[ctr][0]=Inf; + out[ctr][1]=2; // 2 <- 0 ? + } + ctr++; + out[ctr][0]=ql[0][0]; + out[ctr][1]=ql[0][1]; + ctr++; + out[ctr][0]=ql[1][0]; + out[ctr][1]=ql[1][1]; + } + } + } + out[0][0]=ctr; + if(ctr>0){ + nall=connectseg(out, Eps, out2); + out[0][0]=0; + nall=appendd2(2,1,nall,out2,out); + } + return nall; +} + +/* + +int implicitplot(double out[][2]){ + int i, j, k, ctrq=0,ctr, nall; + double pl[5][2], vl[5], ql[11][2], out2[DsizeM][2]; + ctr=0; + for (j = 0; j < Ndv; j++) { + for (i = 0; i < Mdv; i++) { + pl[0][0]=Xval[i]; pl[0][1]=Yval[j]; vl[0]=Zval[j][i]; + pl[1][0]=Xval[i+1]; pl[1][1]=Yval[j]; vl[1]=Zval[j][i+1]; + pl[2][0]=Xval[i+1]; pl[2][1]=Yval[j+1]; vl[2]=Zval[j+1][i+1]; + pl[3][0]=Xval[i]; pl[3][1]=Yval[j+1]; vl[3]=Zval[j+1][i]; + pl[4][0]=Xval[i]; pl[4][1]=Yval[j]; vl[4]=Zval[j][i]; + ctrq=0; + for (k = 0; k < 4; k++) { + if(fabs(vl[k])<=Eps){ + ql[ctrq][0]=pl[k][0]; + ql[ctrq][1]=pl[k][1]; + ctrq++; + } + else if(vl[k]>Eps){ + if(vl[k+1]< -Eps){ + ql[ctrq][0]=1/(vl[k]-vl[k+1])*(-vl[k+1]*pl[k][0]+vl[k]*pl[k+1][0]); + ql[ctrq][1]=1/(vl[k]-vl[k+1])*(-vl[k+1]*pl[k][1]+vl[k]*pl[k+1][1]); + ctrq++; + } + } + else{ + if(vl[k+1]>Eps){ + ql[ctrq][0]=1/(-vl[k]+vl[k+1])*(vl[k+1]*pl[k][0]-vl[k]*pl[k+1][0]); + ql[ctrq][1]=1/(-vl[k]+vl[k+1])*(vl[k+1]*pl[k][1]-vl[k]*pl[k+1][1]); + ctrq++; + } + } + } + if(ctrq==2){ + if(ctr>0){ + ctr++; + out[ctr][0]=Inf; + out[ctr][1]=2; // 2 <- 0 ? + } + ctr++; + out[ctr][0]=ql[0][0]; + out[ctr][1]=ql[0][1]; + ctr++; + out[ctr][0]=ql[1][0]; + out[ctr][1]=ql[1][1]; + } + } + } + out[0][0]=ctr; + if(ctr>0){ + nall=connectseg(out, Eps, out2); + out[0][0]=0; + nall=appendd2(2,1,nall,out2,out); + } + return nall; +} + +*/ + +int cuspsplitpara(short ch,double pdata[][2], double outkL[][3]){ + int i, j, ng, n, nd, ndd, ndrop, is, ncusp=0, ncusppt,st, en, npk,nph, cflg; + int cusp[DsizeM], cuspflg; + int ntmp,ntmp1,ntmp2, ntmpnum, noutkL=0, noutk=0, nout=0; + int din[DsizeM][2], dind[DsizeM][2], drop[DsizeL], tmpnum[DsizeM]; + double eps=pow(10.0,-6.0); + double vtmp, vtmp1,kaku,cva, ps[2], pe[2],v1[2],v2[2]; + double tmp[2],tmp1[2],tmp2[2],pt3d[3],pt2d[2],q3d[3],q2d[2]; + double ptk[DsizeM][3],pth[DsizeM][2], outk[DsizeM][3]; + double ptxy[DsizeM][2],tmp3d[DsizeM][3]; + double tmp3d1[DsizeM][3],tmp3d2[DsizeM][3],tmp2d[DsizeM][2]; + outkL[0][0]=0; + cusp[0]=0; + Cuspsplitpt[0][0]=0; + nd=dataindexd2(0,pdata,din); + for(ng=1; ng<=nd; ng++){ + ptk[0][0]=0; pth[0][0]=0; + st=din[ng][0]; en=din[ng][1]; + ptxy[0][0]=0; + n=appendd2(0,st,en,pdata,ptxy); + npk=0; nph=0; + for(i=1; i<=en-st+1; i++){ + pull2(st+i-1,pdata,tmp); + surffun(ch,tmp[0],tmp[1],pt3d); + parapt(pt3d,pt2d); + if(i==1){ + npk=addptd3(ptk,pt3d); + nph=addptd2(pth,pt2d); + } + else{ + pull2(nph,pth,tmp1); + if(dist(2,tmp1,pt2d)>eps){ + npk=addptd3(ptk,pt3d); + nph=addptd2(pth,pt2d); + } + } + } + if(nph==0){ + npk=0; + return 0; + }; + pull2(1,pth,ps); + pull2(nph,pth,pe); + cflg=0; + if(dist(2,ps,pe)<Eps1){cflg=1;} + ncusp=0; cusp[0]=0; + cva=cos(10*M_PI/180); + for(i=1; i<=nph-1; i++){ + if(nph==2){break;} + pull2(i,pth,tmp); + tmp[0]=pth[i][0]; tmp[1]=pth[i][1]; + if(i==1){ + if(cflg==0){continue;} + pull2(nph-1,pth,tmp1); + } + else{ + pull2(i-1,pth,tmp1); + } + pull2(i+1,pth,tmp2); + v1[0]=tmp[0]-tmp1[0]; v1[1]=tmp[1]-tmp1[1]; + v2[0]=tmp2[0]-tmp[0]; v2[1]=tmp2[1]-tmp[1]; + vtmp=v1[0]*v2[0]+v1[1]*v2[1]; + tmp[0]=0; tmp[1]=0; + vtmp=vtmp/(dist(2,v1,tmp)*dist(2,v2,tmp)); + cuspflg=0; + if(vtmp<cva){ + pt2d[0]=pth[i][0]; pt2d[1]=pth[i][1]; + kaku=acos(vtmp)*180/M_PI; + if(v1[0]*v2[1]-v1[1]*v2[0]<0){ + kaku=-kaku; + } + cuspflg=0; + for(j=i+1; j<=nph-1; j++){ + if(fabs(kaku)>90){ + cuspflg=1; + break; + } + pull2(j,pth,q2d); + if(dist(2,pt2d,q2d)>Eps1){ + break; + } + v1[0]=q2d[0]-pth[j-1][0]; v1[1]=q2d[1]-pth[j-1][1]; + v2[0]=pth[j+1][0]-q2d[0]; v2[1]=pth[j+1][1]-q2d[1]; + vtmp=v1[0]*v2[0]+v1[1]*v2[1]; + tmp[0]=0; tmp[1]=0; + vtmp=vtmp/(dist(2,v1,tmp)*dist(2,v2,tmp)); + vtmp=acos(vtmp)*180/M_PI; + if(v1[0]*v2[1]-v1[1]*v2[0]<0){ + vtmp=-vtmp; + } + kaku=kaku+vtmp; + } + if(cuspflg==1){ + ntmp=trunc((i+j)*0.5); + i=j; + if(cusp[0]==0){ + ncusp=appendi1(cusp,ntmp); + } + else{ + ncusp=appendi1(cusp,ntmp); + } + } + } + } + if(cflg==0){ + ncusp=prependi1(1,cusp); + ncusp=appendi1(cusp,nph); + } + else if(ncusp==0){ + ncusp=prependi1(1,cusp); + ncusp=appendi1(cusp,nph); + } + else if(cusp[1]==1){ + ncusp=appendi1(cusp,nph); + } + else{ + ntmp=cusp[1]; + ntmp1=nph; + tmp2d[0][0]=0; + n=appendd2(0,ntmp,ntmp1,pth,tmp2d); + n=appendd2(0,2,ntmp,pth,tmp2d); + pth[0][0]=0; + nph=appendd2(0,1,n,tmp2d,pth); + tmp3d[0][0]=0; + n=appendd3(0,ntmp,ntmp1,ptk,tmp3d); + n=appendd3(0,2,ntmp,ptk,tmp3d); + ptk[0][0]=0; + npk=appendd3(0,1,n,tmp3d,ptk); + for(i=1; i<=cusp[0]; i++){ + cusp[i]=cusp[i]-ntmp+1; + } + ncusp=appendi1(cusp,nph); + } + if(ncusp==2){ + pull2(nph,pth,tmp); + if(npk>=2){ + ncusppt=addptd2(Cuspsplitpt,tmp); + noutkL=appendd3(2,1,npk,ptk,outkL); + } + continue; + } + outk[0][0]=0; + is=1; + for(i=1; i<=ncusp-1; i++){ + ntmp1=cusp[is]; ntmp2=cusp[i+1]; + pull2(ntmp1,pth,tmp1); + pull2(ntmp2,pth,tmp2); + if(dist(2,tmp1,tmp2)>Eps1){ + tmp3d[0][0]=0; + n=appendd3(0,ntmp1,ntmp2,ptk,tmp3d); + noutk=appendd3(2,1,n,tmp3d,outk); + ncusppt=addptd2(Cuspsplitpt,tmp2); + is=i+1; + } + } + noutkL=appendd3(2,1,noutk,outk,outkL); + } + n=projpara(outkL,tmp2d); + ndrop=dropnumlistcrv(tmp2d,Eps1*0.5,drop); + nd=dataindexd3(2,outkL,din); + ndd=dataindexi1(drop,dind); + tmp3d2[0][0]=0; ntmp2=0; + for(i=1; i<=nd; i++){ + tmp3d[0][0]=0; ntmp=0; + ntmp=appendd3(0,din[i][0],din[i][1],outkL,tmp3d); + tmpnum[0]=0; ntmpnum=0; + for(j=dind[i][0]; j<=dind[i][1]; j++){ + ntmpnum=appendi1(tmpnum,drop[j]); + } + tmp3d1[0][0]=0; ntmp1=0; + for(j=1; j<=ntmpnum; j++){ + pt3d[0]=tmp3d[tmpnum[j]][0]; + pt3d[1]=tmp3d[tmpnum[j]][1]; + pt3d[2]=tmp3d[tmpnum[j]][2]; + ntmp1=addptd3(tmp3d1,pt3d); + } + if(ntmp1>0){ + ntmp2=appendd3(2,1,ntmp1,tmp3d1,tmp3d2); + } + } + outkL[0][0]=0; noutkL=0; + noutkL=appendd3(0,1,ntmp2,tmp3d2,outkL); + return noutkL; +} + +int makexybdy(short ch,double ehL[][2]){ + int i, nehL, ntmpd2; + double ptd3[3],ptd2[2],tmpd2[DsizeM][2],du,dv; + ehL[0][0]=0; nehL=0; + du=(Urng[1]-Urng[0])/Mdv; + dv=(Vrng[1]-Vrng[0])/Ndv; + if(DrawE==1){ + tmpd2[0][0]=0; ntmpd2=0; + for(i=0; i<=Ndv; i++){ + surffun(ch,Urng[1],Vrng[0]+i*dv,ptd3); + ntmpd2=push2(ptd3[0],ptd3[1],tmpd2); + } + nehL=appendd2(2,1,ntmpd2,tmpd2,ehL); + } + if(DrawN==1){ + tmpd2[0][0]=0; ntmpd2=0; + for(i=0; i<=Mdv; i++){ + surffun(ch,Urng[0]+i*du,Vrng[1],ptd3); + ntmpd2=push2(ptd3[0],ptd3[1],tmpd2); + } + nehL=appendd2(2,1,ntmpd2,tmpd2,ehL); + } + if(DrawW==1){ + tmpd2[0][0]=0; ntmpd2=0; + for(i=0; i<=Ndv; i++){ + surffun(ch,Urng[0],Vrng[0]+i*dv,ptd3); + ntmpd2=push2(ptd3[0],ptd3[1],tmpd2); + } + nehL=appendd2(2,1,ntmpd2,tmpd2,ehL); + } + if(DrawS==1){ + tmpd2[0][0]=0; ntmpd2=0; + for(i=0; i<=Mdv; i++){ + surffun(ch,Urng[0]+i*du,Vrng[0],ptd3); + ntmpd2=push2(ptd3[0],ptd3[1],tmpd2); + } + nehL=appendd2(2,1,ntmpd2,tmpd2,ehL); + } + return nehL; +} + +void partitionseg(double fig[][2],double gL[][2], int ns, double parL[]){ + int ii,jj,kk,n,din[DsizeM][2],din2[DsizeM][2]; + double eps0=pow(10,-5.0),tmpd4[4], tmpd6[6],tmp,tmp2; + double p[2], q[2], pd3[3], ans[4], tmp1d1[DsizeM], tmp2d1[DsizeM]; + double other[DsizeM], g[DsizeM][2], kouL[DsizeS][4],kouL6[DsizeS][6]; + if(ns>1){ + dataindexd1(Otherpartition,din); + other[0]=0; + for(ii=din[ns][0]; ii<=din[ns][1]; ii++){ + appendd1(other,Otherpartition[ii]); + } + }else{ + other[0]=0; + } + parL[0]=0; + appendd1(parL,1); + appendd1(parL,length2(fig)); + if(length1(other)>0){ + for(ii=1; ii<=length1(other); ii++){ + appendd1(parL,other[ii]); + } + } + dataindexd2(2,gL,din); + for(n=ns; n<=din[0][0]; n++){ + g[0][0]=0; + appendd2(2,din[n][0],din[n][1],gL,g); + intersectcurvesPp(fig,g,20,kouL6); + kouL[0][0]=0; + for(ii=1;ii<=length6(kouL6);ii++){ + pull6(ii,kouL6,tmpd6); + push4(tmpd6[0],tmpd6[1],tmpd6[2],tmpd6[3],kouL); + } + tmp1d1[0]=0;tmp2d1[0]=0; + for(jj=1;jj<=length4(kouL);jj++){ + pull4(jj,kouL,tmpd4); + tmp=tmpd4[2]; + if((tmp>1+Eps)&&(tmp<length2(fig)-Eps)){ + appendd1(tmp1d1,tmp); + } + tmp=tmpd4[3]; + if((tmp>1+Eps)&&(tmp<length2(g)-Eps)){ + appendd1(tmp2d1,tmp); + } + } + for(jj=1;jj<=length1(tmp1d1);jj++){ + appendd1(parL,tmp1d1[jj]); + } + if((ns>0)&&(n>ns)&&(length1(tmp2d1)>0)){ + dataindexd1(Otherpartition,din); + tmp1d1[0]=0; + for(ii=1;ii<=length2i(din);ii++){ + if(ii==n){ + for(kk=1;kk<=length1(tmp2d1);kk++){ + appendd1(tmp1d1,tmp2d1[kk]); + } + } + for(jj=din[ii][0]; jj<=din[ii][1];jj++){ + appendd1(tmp1d1,Otherpartition[jj]); + } + if(ii<length2i(din)){ + appendd1(tmp1d1,Inf); + } + } + } + dataindexd1(tmp1d1,din); + Otherpartition[0]=0; + for(ii=1;ii<=length2i(din);ii++){ + for(jj=din[ii][0];jj<=din[ii][1];jj++){ + appendd1(Otherpartition,tmp1d1[jj]); + } + } + } + simplesort(parL); + tmp1d1[0]=0; + for(ii=1;ii<=length1(parL);ii++){ + appendd1(tmp1d1,parL[ii]); + } + parL[0]=0; + tmp2=-1; + for(jj=1;jj<=length1(tmp1d1);jj++){ + tmp=tmp1d1[jj]; + if(fabs(tmp-tmp2)>Eps1){ + appendd1(parL,tmp); + tmp2=tmp; + } + } +} + +double funpthiddenQ(short ch,double u, double v, double pa[3]){ + double Vec[3]={sin(THETA)*cos(PHI),sin(THETA)*sin(PHI),cos(THETA)}; + double eps0=pow(10,-4.0)*(XMAX-XMIN)/10, pt[3], out; + surffun(ch,u, v, pt); + if((fabs(Vec[1])>eps0)||(fabs(Vec[0])>eps0)){ + out=(Vec[1]*(pt[0]-pa[0])-Vec[0]*(pt[1]-pa[1])); + } + else{ + out=pt[0]-pa[0]; + } + return out; +} + +void makevaltable(double pta[3]){ + double eps0=pow(10,-6.0), u, v, du, dv, p[3]; + int i, j, nx=0, ny=0; ; + du=(Urng[1]-Urng[0])/Mdv; + dv=(Vrng[1]-Vrng[0])/Ndv; + for(j=0; j<=Ndv; j++){ + v=Vrng[0]+j*dv; + for(i=0; i<=Mdv; i++){ + u=Urng[0]+i*du; + Zval[j][i]=funpthiddenQ(Ch,u, v, pta); + } + } + for(i=0; i<=Mdv; i++){ + Xval[i]=Urng[0]+i*du; + } + for(j=0; j<=Ndv; j++){ + Yval[j]=Vrng[0]+j*dv; + } +} + +int pthiddenQ(short ch,double pta[3], int uveq, double eps[2]){ + int i, j, k, out, nqL, nsL, nptL, flg, nxt; + double Vec[3]={sin(THETA)*cos(PHI),sin(THETA)*sin(PHI),cos(THETA)}; + double eps0, epspt, vec1[3], po[3]={0,0,0}, tmpd1, tmp1d1, tmp2d1, m1, m2; + double tmp3d1, tmp4d1, tmp5d1, tmp6d1, tmpd3[3], v1, v2, v3; + double tmpd2[2], p1[2], p2[2], ptuv[2], puv1[2], puv2[2]; + double p1d3[3], p2d3[3], ptd3[3]; + double ptL[DsizeM][6], sL[DsizeM][7], qL[DsizeM][2], pL[5][2], vL[5]; +// Out=1 : hidden +// SL : List of segments near PtA+Vec + eps0=pow(10,-4.0)*(XMAX-XMIN)/10.0; + epspt=eps[0]*(XMAX-XMIN)/10.0; + out=0; + po[0]=0; po[1]=0; po[2]=0; + tmpd1=1/dist(3,Vec,po); + vec1[0]=tmpd1*Vec[0]; + vec1[1]=tmpd1*Vec[1]; + vec1[2]=tmpd1*Vec[2]; + nptL=0; + makevaltable(pta); + nsL=0; + for(j=0; j<=Ndv-1; j++){ + for(i=0; i<=Mdv-1; i++){ + pL[0][0]=Xval[i]; pL[0][1]=Yval[j]; vL[0]=Zval[j][i]; + pL[1][0]=Xval[i+1]; pL[1][1]=Yval[j]; vL[1]=Zval[j][i+1]; + pL[2][0]=Xval[i+1]; pL[2][1]=Yval[j+1]; vL[2]=Zval[j+1][i+1]; + pL[3][0]=Xval[i]; pL[3][1]=Yval[j+1]; vL[3]=Zval[j+1][i]; + pL[4][0]=Xval[i]; pL[4][1]=Yval[j]; vL[4]=Zval[j][i]; + qL[0][0]=0; nqL=0; + for(k=0; k<=3; k++){ + p1[0]=pL[k][0]; p1[1]=pL[k][1]; + p2[0]=pL[k+1][0]; p2[1]=pL[k+1][1]; + m1=vL[k]; m2=vL[k+1]; + if((m1>=eps0)&&(m2>=eps0)){ + continue; + } + if((m1<=-eps0)&&(m2<=-eps0)){ + continue; + } + if(fabs(m1)<eps0){ + tmpd2[0]=p1[0]; tmpd2[1]=p1[1]; + } + else if(fabs(m2)<eps0){ + continue; + } + else{ + tmpd2[0]=1/(m1-m2)*(-m2*p1[0]+m1*p2[0]); + tmpd2[1]=1/(m1-m2)*(-m2*p1[1]+m1*p2[1]); + } + nqL++; + qL[nqL][0]=tmpd2[0]; qL[nqL][1]=tmpd2[1]; + } + if(nqL==2){ + puv1[0]=qL[1][0]; puv1[1]=qL[1][1]; + puv2[0]=qL[2][0]; puv2[1]=qL[2][1]; + surffun(ch,puv1[0],puv1[1],p1d3); + surffun(ch,puv2[0],puv2[1],p2d3); + if(dist(2,p1d3,p2d3)<eps0){ + continue; + } + tmp1d1=dist(3,p1d3,pta); + tmpd3[0]=p1d3[0]-pta[0]; + tmpd3[1]=p1d3[1]-pta[1]; + tmpd3[2]=p1d3[2]-pta[2]; + tmp2d1=dotprod(3,tmpd3,vec1); + tmp3d1=sqrt(fabs(pow(tmp1d1,2.0)-pow(tmp2d1,2.0))); + tmp4d1=dist(3,p2d3, pta); + tmpd3[0]=p2d3[0]-pta[0]; + tmpd3[1]=p2d3[1]-pta[1]; + tmpd3[2]=p2d3[2]-pta[2]; + tmp5d1=dotprod(3,tmpd3,vec1); + tmp6d1=sqrt(fabs(pow(tmp4d1,2.0)-pow(tmp5d1,2.0))); + if(tmp2d1<tmp5d1){ + tmpd3[0]=p1d3[0]; tmpd3[1]=p1d3[1]; tmpd3[2]=p1d3[2]; + p1d3[0]=p2d3[0]; p1d3[1]=p2d3[1]; p1d3[2]=p2d3[2]; + p2d3[0]=tmpd3[0]; p2d3[1]=tmpd3[1]; p2d3[2]=tmpd3[2]; + tmpd1=tmp2d1; tmp2d1=tmp5d1; tmp5d1=tmpd1; + tmpd1=tmp3d1; tmp3d1=tmp6d1; tmp6d1=tmpd1; + } + if((tmp3d1<eps[1]*epspt)&&(tmp6d1<eps[1]*epspt)){ + if(tmp2d1>-eps0){ + if(tmp5d1<-eps0){ + nsL++; + sL[nsL][0]=p1d3[0]; sL[nsL][1]=p1d3[1]; sL[nsL][2]=p1d3[2]; + sL[nsL][3]=p2d3[0]; sL[nsL][4]=p2d3[1]; sL[nsL][5]=p2d3[2]; + sL[nsL][6]=-1; + } + else{ + nsL++; + sL[nsL][0]=p1d3[0]; sL[nsL][1]=p1d3[1]; sL[nsL][2]=p1d3[2]; + sL[nsL][3]=p2d3[0]; sL[nsL][4]=p2d3[1]; sL[nsL][5]=p2d3[2]; + sL[nsL][6]=1; + } + } + } + v1=vec1[0]; v2=vec1[1]; v3=vec1[2]; + if(fabs(v1)>eps0){ + m1=pta[2]+v3/v1*(p1d3[0]-pta[0])-p1d3[2]; + m2=pta[2]+v3/v1*(p2d3[0]-pta[0])-p2d3[2]; + } + else if(fabs(v2)>eps0){ + m1=pta[2]+v3/v2*(p1d3[1]-pta[1])-p1d3[2]; + m2=pta[2]+v3/v2*(p2d3[1]-pta[1])-p2d3[2]; + } + else{ + m1=pta[1]-p1d3[1]; + m2=pta[1]-p2d3[1]; + } + if(m1*m2>=0){ + if(((m1>eps0)&&(m2>eps0))||((m1<-eps0)&&(m2<-eps0))){ + continue; + } + if(fabs(m1)<=eps0){ + ptd3[0]=p1d3[0]; ptd3[1]=p1d3[1]; ptd3[2]=p1d3[2]; + ptuv[0]=puv1[0]; ptuv[1]=puv1[1]; + } + else{ + ptd3[0]=p2d3[0]; ptd3[1]=p2d3[1]; ptd3[2]=p2d3[2]; + ptuv[0]=puv2[0]; ptuv[1]=puv2[1]; + } + } + else{ + ptd3[0]=1/(m1-m2)*(-m2*p1d3[0]+m1*p2d3[0]); + ptd3[1]=1/(m1-m2)*(-m2*p1d3[1]+m1*p2d3[1]); + ptd3[2]=1/(m1-m2)*(-m2*p1d3[2]+m1*p2d3[2]); + ptuv[0]=1/(m1-m2)*(-m2*puv1[0]+m1*puv2[1]); + } + tmpd3[0]=ptd3[0]-pta[0]; + tmpd3[1]=ptd3[1]-pta[1]; + tmpd3[2]=ptd3[2]-pta[2]; + tmp1d1=dotprod(3,tmpd3,vec1); + tmp2d1=fabs(tmp1d1); + tmpd3[0]=p1d3[0]-p2d3[0]; + tmpd3[1]=p1d3[1]-p2d3[1]; + tmpd3[2]=p1d3[2]-p2d3[2]; + tmp3d1=dotprod(3,tmpd3,vec1); + tmp4d1=dist(3,p1d3,p2d3); + tmp6d1=tmp3d1/tmp4d1; + if(tmp1d1>eps0){ + if(fabs(tmp6d1)>0.75){ + nptL++; + ptL[nptL][0]=ptd3[0]; ptL[nptL][1]=ptd3[1]; ptL[nptL][2]=ptd3[2]; + ptL[nptL][3]=p2d3[0]; ptL[nptL][4]=p2d3[1]; ptL[nptL][5]=p2d3[2]; + continue; + } + if(tmp2d1>epspt){ + return 1; + } + if(tmp2d1<2*epspt){ + continue; + } + } + } + } + } + if(nptL==0){ + return 0; + } + for(i=1; i<=nsL; i++){ + p2d3[0]=sL[i][3]; p2d3[1]=sL[i][4]; p2d3[2]=sL[i][5]; + flg=0; + for(j=1; j<=nsL; j++){ + p1d3[0]=sL[j][0]; p1d3[1]=sL[j][1]; p1d3[2]=sL[j][2]; + if(dist(3,p1d3,p2d3)<eps0){ + sL[i][6]=j; + flg=1; + break; + } + } + if((flg==0)&&(sL[i][6]>0)){ + sL[i][6]=-2; + } + } + for(i=1; i<=nptL; i++){ + p2d3[0]=ptL[i][3]; p2d3[1]=ptL[i][4]; p2d3[2]=ptL[i][5]; + flg=0; + for(j=1; j<=nsL; j++){ + p1d3[0]=sL[j][0]; p1d3[1]=sL[j][1]; p1d3[2]=sL[j][2]; + if(dist(3,p1d3,p2d3)<eps0){ + flg=1; + break; + } + } + if(flg==0){ + ptd3[0]=ptL[i][0]; ptd3[1]=ptL[i][1]; ptd3[2]=ptL[i][2]; + tmpd1=dist(3,p2d3,ptd3); + tmpd3[0]=p2d3[0]-ptd3[0]; + tmpd3[1]=p2d3[1]-ptd3[1]; + tmpd3[2]=p2d3[2]-ptd3[2]; + tmp1d1=fabs(dotprod(3,tmpd3,vec1)); + tmp2d1=sqrt(fabs(pow(tmpd1,2.0)-pow(tmp1d1,2.0))); + tmp3d1=tmp2d1*dist(3,ptd3,pta)/tmpd1; + if(tmp3d1>epspt/5){ + return 1; + } + else{ + continue; + } + } + nxt=sL[j][6]; + while(nxt>0){ + ptd3[0]=sL[nxt][3]; ptd3[1]=sL[nxt][4]; ptd3[2]=sL[nxt][5]; + nxt=sL[nxt][6]; + } + if(nxt==-2){ + return 1; + } + else{ + out=0; + } + } + return out; +} + +int nohiddenpara2(double paL[], double fk[][3], int uveq, double figkL[][3]){ + double eps0=pow(10,-5.0), s, p1[2], p2[2], q[2],tmpd1, tmpd2[2], epstmp[2]; + double fh[DsizeM][2], pta[3], ptap[2], vec[3]; + double figL[DsizeM][2], tmpmd2[DsizeM][2], tmpmd3[DsizeM][3]; + double tmp1d2[2], tmp2d2[2], tmp3d2[2], tmpd3[3],tmpd4[4]; + double pd2[2], qd2[2], pd3[3], qd3[3], sp, sq, tp, tq, dtmp, dtmp1, dtmp2; + int ncusp=floor(Cusppt[0][0]+0.5), seL[DsizeM], npaL=floor(paL[0]+0.5); + int i, n, nfh, nfk, nfigL, nfigkL, nhidden, cspflg, nseL=0, ntmp, flg, tmpi1[DsizeM]; + nfk=length3(fk); + nfh=projpara(fk, fh); + pull2(1,fh,p1); + pull2(nfh,fh,p2); + cspflg=1; + for(i=1; i<=ncusp; i++){ + pull2(i, Cusppt, tmpd2); + if(dist(2,tmpd2,p1)<eps0){ + if(cspflg==1){ + cspflg=2; + } + else if(cspflg==3){ + cspflg=6; + } + continue; + } + if(dist(2,tmpd2,p2)<eps0){ + if(cspflg==1){ + cspflg=3; + } + else if(cspflg==2){ + cspflg=6; + } + continue; + } + } + seL[0]=0; nseL=0; + for(n=1; n<=npaL-1; n++){ + s=(paL[n]+paL[n+1])/2.0; + ntmp=invparapt(s,fh,fk, pta); + parapt(pta,ptap); + epstmp[0]=Eps1; epstmp[1]=1; + if((n==1)&&(cspflg % 2==0)){ + pull2(1,fh,p1); + dtmp=fmin(Eps1*dist(2,ptap, p1),Eps1); + epstmp[0]=dtmp; epstmp[1]=1; + } + if((n==npaL-1)&&(cspflg % 3==0)){ + pull2(nfh,fh,p1); + dtmp=fmin(Eps1*dist(2, ptap, p1), Eps1); + epstmp[0]=dtmp; epstmp[1]=1; + } + flg=pthiddenQ(Ch,pta, uveq, epstmp); + if(flg==0){ + nseL=appendi1(seL,n); + } + } + figL[0][0]=0; nfigL=0; + figkL[0][0]=0; nfigkL=0; + for(i=1; i<=nseL; i++){ + pointoncurve(paL[seL[i]], fh, Eps, tmp1d2); + pointoncurve(paL[seL[i]+1], fh, Eps, tmp2d2); + if(i==1){ + copyd(0,1,tmp1d2,pd2); + sp=paL[seL[i]]; + copyd(0,1,tmp2d2,qd2); + sq=paL[seL[i]+1]; + } + else{ + if(memberi(seL[i]-1,seL)==1){ + copyd(0,1,tmp2d2,qd2); + sq=paL[seL[i]+1]; + } + else{ + ntmp=partcrv(sp,sq,fh,tmpmd2); + nfigL=appendd2(2,1,ntmp,tmpmd2,figL); + tp=invparapt(sp,fh,fk, tmpd3); + tq=invparapt(sq,fh,fk,tmpd3); + ntmp=partcrv3(tp,tq,fk,tmpmd3); + nfigkL=appendd3(2,1,ntmp,tmpmd3,figkL); + copyd(0,1,tmp1d2,pd2); + sp=paL[seL[i]]; + copyd(0,1,tmp2d2,qd2); + sq=paL[seL[i]+1]; + } + } + } + if(nseL>0){ + if(dist(2,pd2,qd2)>Eps1){ + nearestptpt(pd2,fh,tmpd4); + dtmp1=tmpd4[2]; + nearestptpt(qd2,fh,tmpd4); + dtmp2=tmpd4[2]; + ntmp=partcrv(dtmp1,dtmp2,fh,tmpmd2); + nfigL=appendd2(2,1,ntmp,tmpmd2,figL); + tp=invparapt(sp,fh,fk,tmpd3); + tq=invparapt(sq,fh,fk,tmpd3); + ntmp=partcrv3(tp,tq,fk,tmpmd3); + nfigkL=appendd3(2,1,ntmp, tmpmd3, figkL); + } + else{ + nfigL=appendd2(2,1,nfh, fh, figL); + nfigkL=appendd3(2,1,nfk,fk,figkL); + } + } + tmpi1[0]=0; ntmp=0; + for(i=1; i<=npaL-1; i++){ + if(memberi(i,seL)==0){ + ntmp=appendi1(tmpi1,i); + } + } + copyi(0,ntmp,tmpi1,seL); + seL[0]=ntmp; nseL=ntmp; + Hiddendata[0][0]=0; nhidden=0; + for(i=1; i<=nseL; i++){ + dtmp=paL[seL[i]]; + pointoncurve(dtmp,fh,Eps,tmp1d2); + dtmp=paL[seL[i]+1]; + pointoncurve(dtmp,fh,Eps, tmp2d2); + if(i==1){ + copyd(0,1,tmp1d2,pd2); + sp=paL[seL[i]]; + copyd(0,1,tmp2d2,qd2); + sq=paL[seL[i]+1]; + } + else{ + if(memberi(seL[i]-1,seL)==1){ + copyd(0,1,tmp2d2,qd2); + sq=paL[seL[i]+1]; + } + else{ + tp=invparapt(sp,fh,fk,tmpd3); + tq=invparapt(sq,fh,fk,tmpd3); + ntmp=partcrv3(tp,tq,fk,tmpmd3); + nhidden=appendd3(2,1,ntmp,tmpmd3,Hiddendata); + copyd(0,1,tmp1d2,pd2); + sp=paL[seL[i]]; + copyd(0,1,tmp2d2,qd2); + sq=paL[seL[i]+1]; + } + } + } + if(nseL>0){ + if(dist(2,pd2,qd2)>Eps1){ + tp=invparapt(sp,fh,fk,tmpd3); + tq=invparapt(sq,fh,fk,tmpd3); + ntmp=partcrv3(tp,tq,fk,tmpmd3); + nhidden=appendd3(2,1,ntmp,tmpmd3,Hiddendata); + } + else{ + nhidden=appendd3(2,1,nfk,fk,Hiddendata); + } + } + return nfigkL; +} + +int borderparadata(short ch,double fkL[][3], double fsL[][3]){ + double ekL[DsizeL][3], fall[DsizeL][2], fbdxy[DsizeL][2]; + double tmpd3[DsizeM][3], tmpd2[DsizeM][2], p[2], p3[3]; + double figkL[DsizeM][3], du, dv; + int i, j, nall, nekL, nfsL, nfkL=length3(fkL), nfall, nfbdxy; + int ndin, din[DsizeS][2], ndin2,din2[DsizeM][2]; + int ntmp, ntmpd3,ntmpd2, npar=0, nfigkL; + double par[DsizeM]; + du=(Urng[1]-Urng[0])/Mdv; + dv=(Vrng[1]-Vrng[0])/Ndv; + fsL[0][0]=0; + ekL[0][0]=0; nekL=0; + if(DrawE==1){ + tmpd2[0][0]=0; nall=0; + for(j=0; j<=Ndv; j++){ + nall=add2(tmpd2, Urng[1], Vrng[0]+j*dv); + } + nall=surfcurve(ch,2, tmpd2,tmpd3); + nekL=appendd3(2,1,nall,tmpd3,ekL); + } + if(DrawN==1){ + tmpd2[0][0]=0; nall=0; + for(j=0; j<=Mdv; j++){ + nall=add2(tmpd2, Urng[0]+j*du, Vrng[1]); + } + nall=surfcurve(ch,2, tmpd2,tmpd3); + nekL=appendd3(2,1,nall,tmpd3,ekL); + } + if(DrawW==1){ + tmpd2[0][0]=0; nall=0; + for(j=0; j<=Ndv; j++){ + nall=add2(tmpd2, Urng[0], Vrng[0]+j*dv); + } + nall=surfcurve(ch,2, tmpd2,tmpd3); + nekL=appendd3(2,1,nall,tmpd3,ekL); + } + if(DrawS==1){ + tmpd2[0][0]=0; nall=0; + for(j=0; j<=Mdv; j++){ + nall=add2(tmpd2, Urng[0]+j*du, Vrng[0]); + } + nall=surfcurve(ch,2, tmpd2,tmpd3); + nekL=appendd3(2,1,nall,tmpd3,ekL); + } + if(nekL>0){ + nfkL=appendd3(2,1,nekL,ekL,fkL); + } + nfall=projpara(fkL,fall); + nfbdxy=makexybdy(ch,fbdxy); + ndin=dataindexd2(2,fall,din); + Borderpt[0][0]=0; + Otherpartition[0]=0; + for(i=1; i<=ndin-1; i++){ + Otherpartition[i]=Inf; Otherpartition[0]++; + } + Borderhiddendata[0][0]=0; + ndin2=dataindexd3(2,fkL,din2); + for(i=1; i<= ndin2; i++){ + tmpd3[0][0]=0; + ntmpd3=appendd3(0,din2[i][0],din2[i][1],fkL,tmpd3); + ntmpd2=projpara(tmpd3,tmpd2); + partitionseg(tmpd2,fall, 1,par); + if(length1(par)>2){ + ntmp=npar-1; + tmpd2[0][0]=0; ntmpd2=0; + for(j=2; j<=ntmp; j++){ + pull2(j,Partitionpt,p); + ntmpd2=addptd2(tmpd2, p); + } + ntmp=appendd2(0, 1,ntmpd2,tmpd2,Borderpt); + } + tmpd3[0][0]=0; + for(j=din2[i][0]; j<=din2[i][1]; j++){ + pull3(j,fkL,p3); + ntmpd3=addptd3(tmpd3,p3); + } + nfigkL=nohiddenpara2(par,tmpd3,1, figkL); + if(nfigkL>0){ + nfsL=appendd3(2,1,nfigkL,figkL, fsL); + } + ntmp=length3(Hiddendata); + if(ntmp>0){ + appendd3(2,1,ntmp,Hiddendata,Borderhiddendata); + } + } + return nfsL; +} + +int dropnumlistcrv3(double qd[][3], double eps1, int out[]){ + int i,j,k,nout,nall=length3(qd), nd, se, en, npd, nptL; + int din[DsizeM][2],ptL[DsizeL]; + double eps=pow(10.0,-6.0), pd[DsizeL][3], p[3], tmp2d[3]; + out[0]=0; nout=0; + nd=dataindexd3(2,qd,din); + for(j=1; j<=nd; j++){ + se=din[j][0]; en=din[j][1]; + pd[0][0]=0; npd=0; + npd=appendd3(0,se,en,qd,pd); + ptL[0]=0; nptL=0; + nptL=appendi1(ptL,1); + pull3(1,pd,p); + for(k=2; k<=npd-1; k++){ + pull3(k,pd,tmp2d); + if(dist(3,p,tmp2d)>eps1){ + nptL=appendi1(ptL,k); + pull3(k,pd,p); + } + } + pull3(npd-1,pd,p); + pull3(npd,pd,tmp2d); + if(dist(3,p,tmp2d)>eps){ // eps -> eps1 ? + nptL=appendi1(ptL,npd); + } +// if(nptL==1){ptL[0]=0; nptL=0;}//180318db + if(nout>0){ + nout=appendi1(out,Infint); + } + for(i=1; i<=nptL; i++){ + nout=appendi1(out,ptL[i]); + } + } + out[0]=nout; + return nout; +} + +int sfbdparadata(short ch,double outd3[][3]){ + double pdatad3[DsizeL][3]; + double pts[DsizeL][2],out3md[DsizeL][2],eps; + double tmpmd[DsizeL][2],tmp1md[DsizeL][2],tmp2md[DsizeL][2],tmp3md[DsizeL][2]; + double tmpd[2],tmp1d[2],tmpd3[3],tmp1d3[3],tmp2d3[3],tmp2md3[DsizeL][3]; + int din[DsizeS][2],nlist[DsizeL]; + int ii,jj,kk,n,nall,flg; + envelopedata(ch, tmp3md); + out3md[0][0]=0; + pts[0][0]=0; + dataindexd2(2,tmp3md,din); + for(jj=1;jj<=length2i(din);jj++){ + tmp1md[0][0]=0; + tmp2md3[0][0]=0; + for(kk=din[jj][0];kk<=din[jj][1];kk++){ + pull2(kk,tmp3md,tmpd); + addptd2(tmp1md,tmpd); + surffun(ch,tmpd[0],tmpd[1],tmpd3); + addptd3(tmp2md3,tmpd3); + } + dropnumlistcrv3(tmp2md3,Eps1,nlist); + if(nlist[0]==1){ + pull2(nlist[1],tmp1md,tmpd); + addptd2(pts,tmpd); + }else{ + tmpmd[0][0]=0; + for(kk=1;kk<=nlist[0];kk++){ + pull2(nlist[kk],tmp1md,tmpd); + addptd2(tmpmd,tmpd); + } + if(length2(tmpmd)>0){ + appendd2(2,1,length2(tmpmd),tmpmd,out3md); + } + } + } + tmp3md[0][0]=0; + appendd2(2,1,length2(pts),pts,tmp3md); + pts[0][0]=0; + for(ii=1;ii<=length2(tmp3md);ii++){ + pull2(ii,tmp3md,tmpd); + surffun(ch,tmpd[0],tmpd[1],tmp1d3); + flg=0; + for(jj=1;jj<=length2(pts);jj++){ + pull2(jj,pts,tmpd); + surffun(ch,tmpd[0],tmpd[1],tmp2d3); + if(dist(3,tmp1d3,tmp2d3)<Eps1){ + flg=1; break; + } + } + if(flg==0){ + pull2(ii,tmp3md,tmpd); + addptd2(pts,tmpd); + } + } + for(ii=1;ii<=length2(pts);ii++){ + tmp3md[0][0]=0; + appendd2(2,1,length2(out3md),out3md,tmp3md); + out3md[0][0]=0; + pull2(ii,pts,tmpd); + surffun(ch,tmpd[0],tmpd[1],tmp1d3); + dataindexd2(2,tmp3md,din); + for(jj=1;jj<=length2i(din);jj++){ + tmp2md[0][0]=0; + appendd2(2,din[jj][0],din[jj][1],tmp3md,tmp2md); + pull2(jj,tmp3md,tmpd); + surffun(ch,tmpd[0],tmpd[1],tmp2d3); + eps=1; + for(kk=1;kk<=length2(tmp2md)-1;kk++){ + pull2(kk,tmp2md,tmpd); + surffun(ch,tmpd[0],tmpd[1],tmp1d3); + pull2(kk+1,tmp2md,tmpd); + surffun(ch,tmpd[0],tmpd[1],tmpd3); + if(eps>dist(3,tmp1d3,tmpd3)){ + eps=dist(3,tmp1d3,tmpd3); + } + } + pull2(1,tmp2md,tmpd); + surffun(ch,tmpd[0],tmpd[1],tmpd3); + if(dist(3,tmp1d3,tmpd3)<eps+Eps){ + appendd2(2,ii,ii,pts,out3md); + for(kk=1;kk<=length2(tmp2md);kk++){ + pull2(kk,tmp2md,tmpd); + addptd2(out3md,tmpd); + } + continue; + } + pull2(length2(tmp2md),tmp2md,tmpd); + surffun(ch,tmpd[0],tmpd[1],tmpd3); + if(dist(3,tmp1d3,tmpd3)<eps+Eps){ + appendd2(2,1,length2(tmp2md),tmp2md,out3md); + pull2(ii,pts,tmpd); + addptd2(out3md,tmpd); + continue; + } + } + appendd2(2,1,length2(tmp2md),tmp2md,out3md); + } + nall=cuspsplitpara(ch,out3md, pdatad3); + n=length2(Cuspsplitpt); + Cusppt[0][0]=0; + nall=appendd2(0, 1,n,Cuspsplitpt,Cusppt); + nall= borderparadata(ch,pdatad3, outd3); + push3(Inf,3,0,outd3); + nall=appendd3(0,1,length3(Borderhiddendata),Borderhiddendata,outd3); + push3(Inf,3,0,outd3); + return nall; +} + +void makevaltablemeet(short ch,double pa[3], double vec[3], double eps0){ + double u, v, du, dv, pt[3]; + int i, j; + du=(Urng[1]-Urng[0])/Mdv; + dv=(Vrng[1]-Vrng[0])/Ndv; + for(j=0; j<=Ndv; j++){ + v=Vrng[0]+j*dv; + for(i=0; i<=Mdv; i++){ + u=Urng[0]+i*du; + surffun(ch,u, v, pt); + if((fabs(vec[1])>eps0)||(fabs(vec[0])>eps0)){ + Zval[j][i]=(vec[1]*(pt[0]-pa[0])-vec[0]*(pt[1]-pa[1])); + } + else{ + Zval[j][i]=pt[0]-pa[0]; + } + } + } + for(i=0; i<=Mdv; i++){ + Xval[i]=Urng[0]+i*du; + } + for(j=0; j<=Ndv; j++){ + Yval[j]=Vrng[0]+j*dv; + } +} + +int meetpoints(short ch,double pta[3], double ptb[3], double eps, double ptL[][3]){ + double eps0=pow(10,-4.0), vec[3], out[DsizeM], pL[5][2], vL[5]; + double qL[DsizeM][2], p1d2[2], p2d2[2], tmpd2[2], puv1d2[2], puv2d2[2]; + double m1,m2, p1d3[3], p2d3[3], v1, v2, v3, ptd3[3], ptuvd2[2], tmp1d1; + double po[3]={0,0,0}, tmpmd1[DsizeM], tmp1d3[3]; + int nout, nptL, ntmp, nqL, i, j, k; + vec[0]=ptb[0]-pta[0]; vec[1]=ptb[1]-pta[1]; vec[2]=ptb[2]-pta[2]; + out[0]=0; nout=0; + ptL[0][0]=0; nptL=0; + makevaltablemeet(Ch,pta,vec,eps0); + for(j=0; j<=Ndv-2; j++){ + for(i=0; i<=Mdv-2; i++){ + pL[0][0]=Xval[i]; pL[0][1]=Yval[j]; vL[0]=Zval[j][i]; + pL[1][0]=Xval[i+1]; pL[1][1]=Yval[j]; vL[1]=Zval[j][i+1]; + pL[2][0]=Xval[i+1]; pL[2][1]=Yval[j+1]; vL[2]=Zval[j+1][i+1]; + pL[3][0]=Xval[i]; pL[3][1]=Yval[j+1]; vL[3]=Zval[j+1][i]; + pL[4][0]=Xval[i]; pL[4][1]=Yval[j]; vL[4]=Zval[j][i]; + qL[0][0]=0; nqL=0; + for(k=0; k<=3; k++){ + pull2(k,pL,p1d2); + pull2(k+1,pL,p2d2); + m1=vL[k]; m2=vL[k+1]; + if((m1>=eps0)&&(m2>=eps0)){ + continue; + } + if((m1<=-eps0)&&(m2<=-eps0)){ + continue; + } + if(fabs(m1)<eps0){ + copyd(0,1,p1d2,tmpd2); + } + else if(fabs(m2)<eps0){ + continue; + } + else{ + tmpd2[0]=1/(m1-m2)*(-m2*p1d2[0]+m1*p2d2[0]); + tmpd2[1]=1/(m1-m2)*(-m2*p1d2[1]+m1*p2d2[1]); + } + nqL=addptd2(qL,tmpd2); + } + if(nqL==2){ + pull2(1, qL, puv1d2); + pull2(2, qL, puv2d2); + surffun(ch,puv1d2[0], puv1d2[1], p1d3); + surffun(ch,puv2d2[0], puv2d2[1], p2d3); + v1=vec[0]; v2=vec[1]; v3=vec[2]; + if(fabs(v1)>eps0){ + m1=pta[2]+v3/v1*(p1d3[0]-pta[0])-p1d3[2]; + m2=pta[2]+v3/v1*(p2d3[0]-pta[0])-p2d3[2]; + } + else if(fabs(v2)>eps0){ + m1=pta[2]+v3/v2*(p1d3[1]-pta[1])-p1d3[2]; + m2=pta[2]+v3/v2*(p2d3[1]-pta[1])-p2d3[2]; + } + else{ + m1=pta[1]-p1d3[1]; + m2=pta[1]-p2d3[1]; + } + if(m1*m2>=-eps0){ + if(((m1>eps0)&&(m2>eps0)) || ((m1<-eps0)&&(m2<-eps0))){ + continue; + } + if(fabs(m1)<=eps0){ + copyd(0,2,p1d3,ptd3); + copyd(0,1,puv1d2,ptuvd2); + } + else{ + copyd(0,2,p2d3,ptd3); + copyd(0,1,puv2d2,ptuvd2); + } + } + else{ + ptd3[0]=1/(m1-m2)*(-m2*p1d3[0]+m1*p2d3[0]); + ptd3[1]=1/(m1-m2)*(-m2*p1d3[1]+m1*p2d3[1]); + ptd3[2]=1/(m1-m2)*(-m2*p1d3[2]+m1*p2d3[2]); + } + tmp1d3[0]=ptd3[0]-pta[0]; tmp1d3[1]=ptd3[1]-pta[1]; + tmp1d3[2]=ptd3[2]-pta[2]; + tmp1d1=dotprod(3,tmp1d3,vec); + tmp1d1=tmp1d1/pow(dist(3,vec,po),2.0); + if((tmp1d1>-eps0)&&(tmp1d1<1+eps0)){ + nout=appendd1(out,tmp1d1); + } + } + } + } + if(nout>>0){ + simplesort(out); + tmpmd1[1]=out[1]; ntmp=1; + for(i=2; i<=nout; i++){ + tmp1d3[0]=(out[i]-tmpmd1[ntmp])*vec[0]; + tmp1d3[1]=(out[i]-tmpmd1[ntmp])*vec[1]; + tmp1d3[2]=(out[i]-tmpmd1[ntmp])*vec[2]; + tmp1d1=dist(3,tmp1d3,po); + if(tmp1d1>eps){ + ntmp=appendd1(tmpmd1,out[i]); + } + } + nout=ntmp; + copyd(0,ntmp,tmpmd1,out); + for(i=1; i<=nout; i++){ + tmp1d3[0]=pta[0]+out[i]*vec[0]; + tmp1d3[1]=pta[1]+out[i]*vec[1]; + tmp1d3[2]=pta[2]+out[i]*vec[2]; + nptL=addptd3(ptL,tmp1d3); + } + } + return nptL; +} + +int crvsfparadata(double fkL[][3], double fbdkL[][3], int sepflg, double out[][3]){ + double fbdy[DsizeL][2], fk[DsizeM][3],fkp[DsizeM][3], outh[DsizeL][3]; + double fh[DsizeM][2], parL[DsizeM], tmpmd3[DsizeM][3]; + double ptL[DsizeM][3], tmpd2[2], tmpd3[3], tmp1d1, tmp2d1, dt; + double po[2]={0,0}, epsd2[2]={Eps1,1}, pa[3], pb[3]; + int nbor=length3(Borderhiddendata), nfkL,nfbdkL, nfbdy, nfk, nall; + int ncshidden, npar, ndin, din[DsizeM][2], ndin2,din2[DsizeS][2]; + int nn, i, j, k, n, nptL, nout; + nfkL=length3(fkL); + nfbdy=projpara(fbdkL,fbdy); + out[0][0]=0; + outh[0][0]=0; + ndin=dataindexd3(2,fkL,din); + for(nn=1; nn<=ndin; nn++){ + fkp[0][0]=0; + nfk=appendd3(0,din[nn][0],din[nn][1],fkL,fkp); + n=fmax(1,floor((fmax(Mdv,Ndv)+1)/(nfk-1)+0.5)); //17.06.16 + dt=1.0/n; + fk[0][0]=0; + for(i=1; i<nfk; i++){ + for(j=0; j<n; j++){ + tmpd3[0]=fkp[i][0]+(fkp[i+1][0]-fkp[i][0])*j*dt; + tmpd3[1]=fkp[i][1]+(fkp[i+1][1]-fkp[i][1])*j*dt; + tmpd3[2]=fkp[i][2]+(fkp[i+1][2]-fkp[i][2])*j*dt; + addptd3(fk,tmpd3); + } + } + nfk=appendd3(0,nfk,nfk,fkp,fk); + nall=projpara(fk,fh); + partitionseg(fh, fbdy,1, parL); + if(sepflg>=0){ + for(i=1; i<=nfk-1; i++){ + pull3(i,fk,pa); + pull3(i+1,fk,pb); + nptL=meetpoints(Ch,pa,pb, Eps2,ptL); + for(j=1; j<=nptL; j++){ + pull3(j,ptL,tmpd3); + parapt(tmpd3,tmpd2); + tmp1d1=paramoncurve(tmpd2,i,fh); + tmp2d1=Inf; + for(k=1; k<=npar; k++){ + tmp2d1=fmin(tmp2d1,fabs(parL[k]-tmp1d1)); + } + tmpd3[0]=pb[0]-pa[0]; tmpd3[1]=pb[1]-pa[1]; + tmpd3[2]=pb[2]-pa[2]; + if(tmp2d1*dist(3,tmpd3,po)>Eps1){ + npar=appendd1(parL,tmp1d1); + } + } + simplesort(parL); + } + } + nohiddenpara2(parL,fk,1, tmpmd3); + appendd3(2,1,length3(tmpmd3),tmpmd3,out); + appendd3(2,1, length3(Hiddendata),Hiddendata,outh); + } + push3(Inf,3,0,out); //17.06.17 + nout=appendd3(0,1,length3(outh),outh,out); + push3(Inf,3,0,out); //17.06.17 + return nout; +} + +int wireparadata(double bdyk[][3], double udv[], double vdv[], int num, + double fsL[][3]){ + double fbdy[DsizeL][2], udiv[DsizeM], vdiv[DsizeM], fbdxy[DsizeM][2]; + double fs[DsizeL][3], u, v, d, pdata[DsizeM][3], fkL[DsizeM][3]; + double fsLh[DsizeLL][3]; + double tmpmd2[DsizeM][2], fk[DsizeM][3], par[DsizeM], p[2]; + int nfbdy, nd, i, j, k, n, nu, nv, nfbdxy, nfsL, npdata, nfkL, nfk, npar,ntmp; + int nwire, ndin, din[DsizeM][2], nfs, ndin2, din2[DsizeM][2]; + nfbdy=projpara(bdyk, fbdy); + Wirept[0][0]=0; + udiv[0]=0; nu=0; + vdiv[0]=0; nv=0; + n=floor(udv[0]+0.5); + if(n==-1){ + nd=floor(udv[1]+0.5); + d=(Urng[1]-Urng[0])/(nd+1); + for(i=1; i<=nd; i++){ + u=Urng[0]+i*d; + nu=appendd1(udiv,u); + } + } + else{ + for(i=1; i<=n; i++){ + nu=appendd1(udiv,udv[i]); + } + } + n=floor(vdv[0]+0.5); + if(n==-1){ + nd=floor(vdv[1]+0.5); + d=(Vrng[1]-Vrng[0])/(nd+1); + for(i=1; i<=nd; i++){ + v=Vrng[0]+i*d; + nv=appendd1(vdiv,v); + } + } + else{ + for(i=1; i<=n; i++){ + nv=appendd1(vdiv,vdv[i]); + } + } + nfbdxy=makexybdy(Ch,fbdxy); + Wirept[0][0]=0; + fsL[0][0]=0; nfsL=0; + fsLh[0][0]=0; + for(i=1; i<=nu; i++){ + u=udiv[i]; + d=(Vrng[1]-Vrng[0])/(num*Ndv); + tmpmd2[0][0]=0; ntmp=0; + for(j=1;j<=(num*Ndv)+1; j++){ + v=Vrng[0]+(j-1)*d; + p[0]=u; p[1]=v; + ntmp=addptd2(tmpmd2,p); + } + nfkL=cuspsplitpara(Ch,tmpmd2, fkL); + ndin=dataindexd3(2,fkL,din); + for(j=1; j<=ndin; j++){ + fk[0][0]=0; + nfk=appendd3(0, din[j][0], din[j][1], fkL,fk); + ntmp=projpara(fk,tmpmd2); + partitionseg(tmpmd2, fbdy, 1, par); + ntmp=length2(Partitionpt); + if(ntmp>2){ + for(k=2; k<=ntmp; k++){ + pull2(k, Partitionpt, p); + nwire=addptd3(Wirept,p); + } + } + nfs=nohiddenpara2(par,fk,1, fs); + n=length3(Hiddendata); + ntmp=appendd3(2,1,n, Hiddendata,fsLh); + nfsL=appendd3(2,1,nfs,fs,fsL); + } + } + for(i=1; i<= nv; i++){ + v=vdiv[i]; + d=(Urng[1]-Urng[0])/(num*Mdv); + tmpmd2[0][0]=0; ntmp=0; + for(j=1;j<=(num*Mdv)+1; j++){ + u=Urng[0]+(j-1)*d; + p[0]=u; p[1]=v; + ntmp=addptd2(tmpmd2,p); + } + nfkL=cuspsplitpara(Ch,tmpmd2, fkL); + ndin=dataindexd3(2,fkL,din); + for(j=1; j<=ndin; j++){ + fk[0][0]=0; + nfk=appendd3(0, din[j][0], din[j][1], fkL,fk); + ntmp=projpara(fk,tmpmd2); + partitionseg(tmpmd2, fbdy, 1, par); + ntmp=length2(Partitionpt); + if(ntmp>2){ + for(k=2; k<=ntmp; k++){ + pull2(k, Partitionpt, p); + nwire=addptd3(Wirept,p); + } + } + nohiddenpara2(par,fk,1, fs); + appendd3(2,1,length3(Hiddendata), Hiddendata,fsLh); + appendd3(2,1,length3(fs),fs,fsL); + } + } + push3(Inf,3,0,fsL); + nfsL=appendd3(0,1,length3(fsLh),fsLh,fsL); + push3(Inf,3,0,fsL); + return nfsL; +} + +/* +double cutfun(int ch, double u, double v){ + double p[3],val ; + surffun(ch,u,v,p); + val=p[0]+p[1]-0.5; + return val; +} +*/ + +void makevaltablecut(int chcut){ + double eps0=pow(10,-6.0), u, v, du, dv; + int i, j, nx=0, ny=0; ; + du=(Urng[1]-Urng[0])/Mdv; + dv=(Vrng[1]-Vrng[0])/Ndv; + for(j=0; j<=Ndv; j++){ + v=Vrng[0]+j*dv; + for(i=0; i<=Mdv; i++){ + u=Urng[0]+i*du; + Zval[j][i]=cutfun(Ch,chcut, u,v); + } + } + for(i=0; i<=Mdv; i++){ + Xval[i]=Urng[0]+i*du; + } + for(j=0; j<=Ndv; j++){ + Yval[j]=Vrng[0]+j*dv; + } +} + +int sfcutdata(int ch, double ekL[][3]){ + double cutuvL[DsizeL][2], out1[DsizeM][2], out2[DsizeM][3], pt[3]; + int i, j, nall, ndin, din[DsizeM][2], nekL,nout1,nout2; +// makevaltablecut(ch); //180320 +// nall=implicitplot(cutuvL); //180320 + ekL[0][0]=0; nekL=0; + ndin=dataindexd2(2,cutuvL,din); + for(i=1; i<=ndin; i++){ + out1[0][0]=0; + nout1=appendd2(2,din[i][0],din[i][1],cutuvL,out1); + out2[0][0]=0; + for(j=1; j<=nout1; j++){ + surffun(ch,out1[j][0], out1[j][1], pt); + nout2=addptd3(out2,pt); + } + nekL=appendd3(2,1,nout2,out2,ekL); + } + return nekL; +} + +int crv3onsfparadata(double fk[][3], double fbdyd3[][3], double out[][3]){ + double fbdy[DsizeL][2], fh[DsizeL][2], tmpmd2[DsizeL][2], par[DsizeM]; + int n, nall, nfbdy, nfbdxy, npar, nout; + out[0][0]=0; + nfbdy=projpara(fbdyd3,fbdy); +// nall=ospline3(2,fk,2,fk1); + projpara(fk,fh); + partitionseg(fh,fbdy, 1, par); + nohiddenpara2(par,fk, 1,out); + push3(Inf,3,0,out); + nall=appendd3(0,1,length3(Hiddendata),Hiddendata,out); + push3(Inf,3,0,out); //17.06.16 + return nall; +} + +int projcoordcurve(double curve[][3], double out[][3]){ + double SP=sin(PHI), CP=cos(PHI), ST=sin(THETA), CT=cos(THETA); + double pt[3], xz, yz, zz; + int i, n, nall; + out[0][0]=0; + n=length3(curve); + for(i=1; i<=n; i++){ + pull3(i, curve, pt); + if(pt[0]>Inf-1){ + xz=pt[0]; yz=pt[1]; zz=pt[2]; + } + else{ + xz=-pt[0]*SP+pt[1]*CP; + yz=-pt[0]*CP*CT-pt[1]*SP*CT+pt[2]*ST; + zz=pt[0]*CP*ST+pt[1]*SP*ST+pt[2]*CT; + } + nall=push3(xz,yz,zz,out); + } + return nall; +} + +int kukannozoku(double jokyo[2], double kukanL[][2], double res[][2]){ + double t1, t2, tmpd2[2], ku[2]; + int i, j, ii, nn, flg, nres; + nn=length2(kukanL); + t1=jokyo[0]; + t2=jokyo[1]; + pull2(1,kukanL,tmpd2); + t1=fmax(t1,tmpd2[0]); + pull2(nn,kukanL,tmpd2); + t2=fmin(t2,tmpd2[1]); + res[0][0]=0; nres=0; + flg=0; + for(ii=1; ii<=nn; ii++){ + pull2(ii,kukanL,ku); + if(flg==0){ + if(ku[1]<t1){ + nres=addptd2(res,ku); + } + else{ + flg=1; + if(ku[0]<t1-Eps){ + tmpd2[0]=ku[0]; tmpd2[1]=t1; + nres=addptd2(res,tmpd2); + } + if(ku[1]>t2+Eps){ + tmpd2[0]=t2; tmpd2[1]=ku[1]; + nres=addptd2(res,tmpd2); + } + } + } + else if(flg==1){ + if(ku[1]<t2){ + continue; + } + else{ + flg=2; + if(ku[0]<t2-Eps){ + ku[0]=t2; + } + nres=addptd2(res,ku); + } + } + else{ + nres=addptd2(res,ku); + } + } + return nres; +} + +int skeletondata3(double data[][3], double r00, + double eps1, double eps2, double allres[][3]){ + double objL[DsizeLL][3], pltL[DsizeLL][3]; + double clipL[DsizeL][5],koc2d6[DsizeM][6],tmpd6[6]; + double pts1[DsizeL][2],koc[DsizeM][4], koc2[DsizeM][4], kukanL[DsizeL][2]; + double r0, t1, t2, z1, z2, tt, rr, origin[2], te, hh, ku[2], za, zb, ds[DsizeM],dmin; + double pt[2], pta[2], ptb[2], ptq[2]; + double ptL[DsizeL][3], ptL2[DsizeL][2], res2[DsizeL][2], allres2[DsizeL][2]; + double obj[DsizeL][3], plt[DsizeL][3]; + double objp[DsizeL][3], pltp[DsizeL][3]; + double obj2d[DsizeL][2], plt2d[DsizeL][2]; + double tmpd1, tmp2d1, tmp3d1, tmp1d2[2], tmp2d2[2],tmpd3[3]; + double tmpmd2[DsizeL][2], tmpmd3[DsizeL][3], tmpd4[4], tmp1d4[4]; + int j, ii, jj, nobj, nplt, nall, din1[DsizeM][2], din2[DsizeM][2]; + int nkoc, nkoc2, nn,nn1,nn2, nclipL, flg, ntmp; + char str1[100], str2[100]; + objL[0][0]=0; pltL[0][0]=0; + dataindexd3(3,data,din1); + appendd3(0, din1[1][0],din1[1][1],data,objL); + appendd3(0, din1[2][0],din1[2][1],data,pltL); + allres[0][0]=0; + allres2[0][0]=0; + dataindexd3(2,objL,din1); + dataindexd3(2,pltL,din2); + for(nobj=1; nobj<=length2i(din1); nobj++){ + tmpmd3[0][0]=0; + ntmp=appendd3(2,din1[nobj][0],din1[nobj][1],objL,tmpmd3); + nn=ceil((fmax(Mdv,Ndv)*2-1)/(ntmp-1)); + increasept3(tmpmd3,nn,obj); + appendd3(0,ntmp,ntmp,tmpmd3,obj); + projcoordcurve(obj,objp); + obj2d[0][0]=0; + for(j=1; j<=length3(objp); j++){ + push2(objp[j][0],objp[j][1],obj2d); + } + clipL[0][0]=0; nclipL=0; + for(nplt=1; nplt<=length2i(din2); nplt++){ + tmpmd3[0][0]=0; + ntmp=appendd3(2,din2[nplt][0],din2[nplt][1],pltL,tmpmd3); + nn=ceil((fmax(Mdv,Ndv)*2-1)/(ntmp-1)); + increasept3(tmpmd3,nn,plt); + appendd3(0,ntmp,ntmp,tmpmd3,plt); + projcoordcurve(plt,pltp); + plt2d[0][0]=0; + for(j=1; j<=length3(pltp); j++){ + push2(pltp[j][0],pltp[j][1],plt2d); + } + intersectcurvesPp(obj2d,plt2d,20,koc2d6); //180324from + nkoc2=length6(koc2d6); + koc2[0][0]=0; + for(ii=1;ii<=nkoc2;ii++){ + pull6(ii,koc2d6,tmpd6); + push4(tmpd6[0],tmpd6[1],tmpd6[2],tmpd6[3],koc2); + }//180324to + if(nkoc2>0){ + koc[0][0]=0; nkoc=0; + pull2(1,plt2d,pta); + pull2(length2(plt2d),plt2d,ptb); + for(j=1; j<=nkoc2; j++){ + pt[0]=koc2[j][0]; pt[1]=koc2[j][1]; + nearestptpt(pt, plt2d, tmpd4); + koc2[j][3]=tmpd4[2]; + pt[0]=tmpd4[0]; pt[1]=tmpd4[1]; + nearestptpt(pt, obj2d, tmpd4); + koc2[j][0]=tmpd4[0]; koc2[j][1]=tmpd4[1]; + koc2[j][2]=tmpd4[2]; + ds[j]=tmpd4[3]; + } + pull4(1,koc2,tmp1d4); + dmin=ds[1]; + for(j=2; j<=nkoc2; j++){ + if(fabs(koc2[j][2]-tmp1d4[2])<4){ + if(ds[j]<dmin){ + pull4(j,koc2,tmp1d4); + dmin=ds[j]; + } + } + else{ + addptd4(koc,tmp1d4); + pull4(j,koc2,tmp1d4); + dmin=ds[j]; + } + } + nkoc=addptd4(koc,tmp1d4); +/* + if(tmpd4[3]<2*eps1){ + if((dist(2,pta,pt)<eps2)&&(tmpd4[2]<0.1*length2(plt2d))){ + continue; + } + if((dist(2,ptb,pt)<eps2)&&(tmpd4[2]>0.9*length2(plt2d))){ + continue; + } + pull4(j,koc2,tmpd4); + nkoc=addptd4(koc,tmpd4); + } + } +*/ + for(jj=1; jj<=nkoc; jj++){ + pt[0]=koc[jj][0]; pt[1]=koc[jj][1]; + pta[0]=plt2d[1][0]; pta[1]=plt2d[1][1]; + ptb[0]=plt2d[length2(plt2d)][0]; ptb[1]=plt2d[length2(plt2d)][1]; + if((dist(2,pt,pta)<eps2)&&(koc[jj][3]<0.3*length2(plt2d))){ + continue; + } + if((dist(2,pt,ptb)<eps2)&&(koc[jj][3]>0.7*length2(plt2d))){ + continue; + } + nn1=floor(koc[jj][2]); + nn2=koc[jj][3]; + pta[0]=objp[nn1][0]; pta[1]=objp[nn1][1]; + za=objp[nn1][2]; + ptb[0]=objp[nn1+1][0]; ptb[1]=objp[nn1+1][1]; + zb=objp[nn1+1][2]; + if(dist(2,pta,ptb)<eps1){ + continue; + } + t1=dist(2,pta,pt)/dist(2,pta,ptb); + z1=(1-t1)*za+t1*zb; + pta[0]=pltp[nn2][0]; pta[1]=pltp[nn2][1]; + za=tmpmd3[nn2][2]; + ptb[0]=pltp[nn2+1][0]; ptb[1]=pltp[nn2+1][1]; + zb=tmpmd3[nn2+1][2]; + if(dist(2,pta,ptb)<Eps){ + continue; + } + t2=dist(2,pta,pt)/dist(2,pta,ptb); + z2=(1-t2)*za+t2*zb; + if(z1<z2-eps1){ + if(nclipL==0){ + tmpd1=1; + } + } + else{ + tmpd1=Inf; + for(j=1; j<=nclipL; j++){ + tmp2d1=pow(clipL[j][0]-pt[0],2.0); + tmp2d1=tmp2d1+pow(clipL[j][1]-pt[1],2.0); + tmpd1=fmin(tmpd1,tmp2d1); + } + } + if(tmpd1>pow(Eps,2.0)){ + pts1[0][0]=0; + pointoncurve(nn1,obj2d,Eps,tmp1d2); + addptd2(pts1,tmp1d2); + pointoncurve(nn1+1,obj2d,Eps,tmp1d2); + addptd2(pts1,tmp1d2); + tmp1d2[0]=pts1[2][0]-pts1[1][0]; + tmp1d2[1]=pts1[2][1]-pts1[1][1]; + tmp2d2[0]=ptb[0]-pta[0]; + tmp2d2[1]=ptb[1]-pta[1]; + tmp3d1=dotprod(2,tmp1d2,tmp2d2); + origin[0]=0; origin[1]=0; + tmp3d1=tmp3d1/dist(2,tmp1d2,origin)/dist(2,tmp2d2,origin); + tmpd1=1-0.5*pow(tmp3d1,2.0); + r0=0.075*r00; + nclipL=push5(pt[0],pt[1], nn1,t1,r0/tmpd1, clipL); + } + } + } + } + kukanL[0][0]=0; + te=length3(obj); + push2(1.0,te, kukanL); + for(ii=1; ii<=nclipL; ii++){ + pt[0]=clipL[ii][0]; pt[1]=clipL[ii][1]; + nn=clipL[ii][2]; + tt=nn+clipL[ii][3]; + rr=clipL[ii][4]; + flg=0; + for(jj=nn; jj>=1; jj--){ + pointoncurve(jj,obj2d,Eps,ptq); + if(dist(2,pt,ptq)<rr){ + continue; + } + flg=jj; + break; + } + if(flg==0){ + t1=1; + } + else{ + t1=flg; t2=tt; + hh=t2-t1; + for(j=1; j<=10; j++){ + hh=hh*0.5; + pointoncurve(t1+hh,obj2d,Eps,ptq); + if(dist(2,pt,ptq)<rr){ + t2=t2-hh; + } + else{ + t1=t1+hh; + } + } + } + ku[0]=t1; + flg=0; + for(jj=nn+1; jj<=te; jj++){ + pointoncurve(jj,obj2d,Eps,ptq); + if(dist(2,pt,ptq)<rr){ + continue; + } + flg=jj; + break; + } + if(flg==0){ + t2=te; + } + else{ + t1=tt; t2=flg; + hh=t2-t1; + for(j=1; j<=10; j++){ + hh=hh*0.5; + pointoncurve(t1+hh,obj2d,Eps,ptq); + if(dist(2,pt,ptq)<rr){ + t1=t1+hh; + } + else{ + t2=t2-hh; + } + } + } + ku[1]=t2; + ntmp=kukannozoku(ku,kukanL,tmpmd2); + kukanL[0][0]=0; + appendd2(0,1,ntmp,tmpmd2,kukanL); + } + for(jj=1; jj<=length2(kukanL); jj++){ + tmp1d2[0]=kukanL[jj][0]; tmp1d2[1]=kukanL[jj][1]; + t1=kukanL[jj][0]; nn1=floor(t1); + t2=kukanL[jj][1]; nn2=floor(t2); + ptL2[0][0]=0; + ptL[0][0]=0; + if(t1-nn1<1-Eps){ + pointoncurve(t1,obj2d,Eps,tmp1d2); + addptd2(ptL2,tmp1d2); + invparapt(t1, obj2d, obj, tmpd3); + addptd3(ptL,tmpd3); + } + for(j=nn1+1; j<=nn2; j++){ + pointoncurve(j,obj2d,Eps,tmp1d2); + addptd2(ptL2,tmp1d2); + invparapt(j, obj2d, obj, tmpd3); + addptd3(ptL,tmpd3); + } + if(t2-nn2>Eps){ + pointoncurve(t2,obj2d,Eps,tmp1d2); + addptd2(ptL2,tmp1d2); + invparapt(t2, obj2d, obj, tmpd3); + addptd3(ptL,tmpd3); + } + if(length2(ptL2)>1){ + appendd2(2,1,length2(ptL2),ptL2,allres2); + appendd3(2,1,length3(ptL),ptL,allres); + } + } + } + return length3(allres); +} + +/* +void writesfbd(const char *var, const char *fname, const char *fnameh,double sf[][3]){ + sfbdparadata(sf); + output3(var, "", fname,2,sf); + output3(var, "h", fnameh,2,Borderhiddendata); +} + +void writecrv(const char *var, const char *fname, const char *fnameh, + double crv[][3],double sf[][3]){ + crvsfparadata(crv, sf, 1,Crvdata); + output3(var, "", fname,2,Crvdata); + output3(var, "h", fnameh,2,Crvsfhiddendata); +} + +void writewire(const char *var, const char *fname, const char *fnameh, + double sf[][3], int num, double udv[], double vdv[]){ + wireparadata(sf, num, udv,vdv, Wiredata); + output3(var, "", fname,2,Wiredata); + output3(var, "h", fnameh,2,Hiddenwiredata); +} + +void writesfcut(const char *var, const char *fname, const char *fnameh, + double crv[][3], double sf[][3]){ + sfcutdata(crv); + crv3onsfparadata(crv, sf, Crvonsfdata); + output3(var, "", fname,2,Crvonsfdata); + output3(var, "h", fnameh,2,Crv3onsfhiddendata); +} + +void writecrvonsf(const char *var, const char *fname, const char *fnameh, + double crv[][3],double sf[][3]){ + crv3onsfparadata(crv, sf, Crvonsfdata); + output3(var, "", fname,2,Crvonsfdata); + output3(var, "h", fnameh,2,Crv3onsfhiddendata); +} +*/ + + diff --git a/Master/texmf-dist/scripts/ketcindy/ketlibC/surflibhead.h b/Master/texmf-dist/scripts/ketcindy/ketlibC/surflibhead.h new file mode 100644 index 00000000000..df31a4d812f --- /dev/null +++ b/Master/texmf-dist/scripts/ketcindy/ketlibC/surflibhead.h @@ -0,0 +1,58 @@ +double Xval[DsizeS], Yval[DsizeS], Zval[DsizeS][DsizeS]; + +////////////////////// +short Ch=1; +///////////////////// + +//double Implicitdata[DsizeL][2]; //180320 +double Cuspsplitpt[DsizeL][2]; +double Cusppt[DsizeM][2]; +double Otherpartition [DsizeM]; +double Partitionpt[DsizeM][2]; +double Cuspdata[DsizeM]; +double Wirept[DsizeM][3]; +double Hiddendata[DsizeL][3]; +double Borderpt[DsizeM][2]; +double Borderhiddendata[DsizeL][3]; +double Surf[DsizeL][3]; +double Crvdata[DsizeL][3]; +double Wiredata[DsizeLL][3]; + +int output3(const char *var, const char *fname, int level, double out[][3]); +int output3h(const char *var, const char *varh, const char *fname, double out[][3]); +int writedataC(const char *fname, double out[][3]); +int readdataC(const char *fname, double data[][3]); +void parapt(double pt3[3],double pt2[2]); +int projpara(double p3[][3], double p2[][2]); +double invparapt(double ph, double fh[][2], double fk[][3],double out[3]); +int surfcurve(short ch,int level, double crv[][2], double pdata[][3]); +int xyzax3data(double x0, double x1, double y0, double y1, double z0, double z1, + double out[][3]); +double evlpfun(short ch, double u, double v); +int envelopedata(short ch, double out[][2]); +void evlptablepara(short ch); +//int implicitplot(double out[][2]); +int cuspsplitpara(short ch,double pdata[][2], double outkL[][3]); +double funpthiddenQ(short ch,double u, double v, double pa[3]); +int makexybdy(short ch,double ehL[][2]); +void partitionseg(double fig[][2],double gL[][2], int ns, double parL[]); +void makevaltablepth(short ch,double pta[3]); +int pthiddenQ(short ch,double pta[3], int uveq, double eps[2]); +int nohiddenpara2(double paL[], double fk[][3], int uveq, double figkL[][3]); +int borderparadata(short ch,double fkL[][3], double fsL[][3]); +int dropnumlistcrv3(double qd[][3], double eps1, int out[]); +int sfbdparadata(short ch,double outd3[][3]); +void makevaltablemeet(short ch,double pa[3], double vec[3], double eps0); +int meetpoints(short ch,double pta[3], double ptb[3], double eps, double ptL[][3]); +int crvsfparadata(double fkL[][3], double fbdkL[][3], int sepflg, double out[][3]); +int sfcutdata(int ch, double ekL[][3]); +int crv3onsfparadata(double fk[][3], double fbdyd3[][3], double out[][3]); +int wireparadata(double bdyk[][3], double udv[], double vdv[], int num, + double fsL[][3]); +int projcoordcurve(double curve[][3], double out[][3]); +int kukannozoku(double jokyo[2], double kukanL[][2], double res[][2]); +int skeletondata3(double data[][3], double r00, double eps1, double eps2, + double allres[][3]); + +double cutfun(short ch,int chcut,double u, double v); +void makevaltablecut(int chcut); diff --git a/Master/texmf-dist/scripts/ketcindy/ketoutset.txt b/Master/texmf-dist/scripts/ketcindy/ketoutset.txt new file mode 100644 index 00000000000..38381ef2ed3 --- /dev/null +++ b/Master/texmf-dist/scripts/ketcindy/ketoutset.txt @@ -0,0 +1,68 @@ +if(iswindows(),
+// PathThead="C:\kettex\texlive\bin\win32\";
+// PathThead="";
+// PathT=PathThead+"platex";
+ PathT=PathThead+"uplatex";
+// PathT=PathThead+"platex";
+// PathT=PathThead+"latex";
+// PathT=PathThead+"pdflatex";
+// PathT=PathThead+"lualatex";
+// PathS="C:\Program Files\scilab-5.5.2\bin\scilex";
+ PathS="C:\Program Files\scilab-6.0.0\bin\scilex";
+ PathC="C:\MinGW\bin\gcc.exe";
+// PathC="C:\MinGW32\bin\gcc.exe";
+ Pathpdf="C:\Program Files\SumatraPDF\SumatraPDF.exe";
+ PathR="C:\Program Files\R\R-3.4.2\bin";
+ PathA="C:\Program Files\asir\bin\asir";
+ PathM="C:\maxima-5.37.3\bin\maxima.bat";
+ PathV3="C:\Program Files\VCG\MeshLab\meshlab";
+ PathF="C:\cygwin\bin";
+// PathAd="C:\Program Files (x86)\Adobe\Reader 11.0\Reader\AcroRd32.exe";
+ PathAd="C:\Program Files\Adobe\Acrobat Reader DC\Reader\AcroRd32.exe";
+);
+if(ismacosx(),
+// PathThead="/Applications/kettex/texlive/bin/x86_64-darwin/";
+// PathThead="/Library/TeX/texbin/";
+// PathThead="";
+// PathT=PathThead+"platex";
+ PathT=PathThead+"uplatex";
+// PathT=PathThead+"latex";
+// PathT=PathThead+"xelatex";
+// PathT=PathThead+"pdflatex";
+// PathT=PathThead+"lualatex";
+// PathS="/Applications/scilab-5.5.2.app/Contents/MacOS/bin/scilab";
+ PathS="/Applications/scilab-6.0.0.app/Contents/MacOS/bin/scilab";
+ Pathpdf="preview";
+// Pathpdf="skim";
+// Pathpdf="/Applications/skim.app/Contents/MacOS/Skim";
+ PathC="gcc";
+// PathR="R";
+// PathR="/Library/Frameworks/R.framework/Versions/3.3/Resources/bin/R";
+ PathR="/Library/Frameworks/R.framework/Versions/Current/Resources/bin/R";
+ PathA="/Applications/cfep.app/OpenXM/rc/asir";
+ PathM="/Applications/Maxima.app/Contents/Resources/maxima.sh";
+ PathV3="/Applications/meshlab.app/Contents/MacOS/MeshLab";
+ PathF="/Applications/FriCAS.app/Contents/Resources/bin/fricas";
+// PathAd="Adobe Reader";
+ PathAd="/Applications/Adobe Acrobat Reader DC.app/Contents/MacOS/AdobeReader";
+ Mackc="sh";
+// Mackc="open";
+);
+if(islinux(),
+ PathT="uplatex";
+ PathS="scilab";
+ Pathpdf="evince";
+// Pathpdf="/usr/bin/xpdf";
+ PathR="R";
+ PathA="";
+ PathM="maxima";
+ PathV3="";
+ PathF="";
+ PathAd="";
+);
+
+if(indexof(PathT,"platex")>0,
+ Helplist(["+","+3d","+mv"],"helpJ");
+,
+ Helplist(["+","+3d","+mv"],"helpE");
+);
diff --git a/Master/texmf-dist/scripts/ketcindy/setketcindy.txt b/Master/texmf-dist/scripts/ketcindy/setketcindy.txt new file mode 100755 index 00000000000..39de2543aca --- /dev/null +++ b/Master/texmf-dist/scripts/ketcindy/setketcindy.txt @@ -0,0 +1,12 @@ +// e:2018.02.26
+Dirlib=Dirhead+pathsep()+"ketlib";
+Libname=Dirlib+pathsep()+"ketpiccurrent";
+DirlibC=Dirhead+pathsep()+"ketlibC";
+setdirectory(Dirlib);
+import("ketcindylibbasic1r.cs");
+import("ketcindylibbasic2r.cs");
+import("ketcindyliboutr.cs");
+import("ketcindylib3dr.cs");
+import("ketcindylibmvr.cs");
+
+setdirectory(Dirhead);
diff --git a/Master/texmf-dist/scripts/ketcindy/template1basic.cdy b/Master/texmf-dist/scripts/ketcindy/template1basic.cdy Binary files differnew file mode 100644 index 00000000000..806d69f2c34 --- /dev/null +++ b/Master/texmf-dist/scripts/ketcindy/template1basic.cdy diff --git a/Master/texmf-dist/scripts/ketcindy/template2advanced.cdy b/Master/texmf-dist/scripts/ketcindy/template2advanced.cdy Binary files differnew file mode 100755 index 00000000000..3fa2e25abe4 --- /dev/null +++ b/Master/texmf-dist/scripts/ketcindy/template2advanced.cdy diff --git a/Master/texmf-dist/tex/latex/ketcindy/ketlayer.sty b/Master/texmf-dist/tex/latex/ketcindy/ketlayer.sty new file mode 100755 index 00000000000..4581724224e --- /dev/null +++ b/Master/texmf-dist/tex/latex/ketcindy/ketlayer.sty @@ -0,0 +1,2836 @@ +%Copyright (C) 2014 Setsuo Takato, KETpic developer team +%* +%* This program is free software: you can redistribute it and/or modify +%* it under the terms of the GNU General Public License as published by +%* the Free Software Foundation; either version 3 of the License, or +%* (at your option) any later version. +%* +%* This program is distributed in the hope that it will be useful, +%* but WITHOUT ANY WARRANTY; without even the implied warranty of +%* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the +%* GNU General Public License for more details. +%* +%* You should have received a copy of the GNU General Public License +%* along with this program. If not, see <http://www.gnu.org/licenses/> +%%% ketlayer.sty 2017-1-13 12:53 +%%% ketlayer170109.sce 2017-1-13 12:53 +% 2017.01.09% +\newlength{\layercurrentunit}% +\newcommand{\shadebox}[7][0]{% +\def\tmpcontents{% +{\unitlength=1mm% +\begin{picture}% +( 100.00000, 100.00000)( 0.00000, 0.00000)% +\special{pn 8}% +% +{\color{#6}% +\special{pa 0 0}\special{pa 3937 0}\special{pa 3937 -3937}\special{pa 0 -3937}\special{pa 0 0}% +\special{sh 1}\special{ip}% +}% +\end{picture}}%% +}% +% +{% +\ifnum % +#4<10 % +% +{% +\ifnum % +#5<10 % +\settowidth{\Width}{{\color{#7}\scalebox{0.0#4}[0.0#5]{\tmpcontents}}}\setlength{\Width}{0\Width}% +\settoheight{\Height}{{\color{#7}\scalebox{0.0#4}[0.0#5]{\tmpcontents}}}\settodepth{\Depth}{{\color{#7}\scalebox{0.0#4}[0.0#5]{\tmpcontents}}}\setlength{\Height}{-\Height}% +\put(#2,-#3){\hspace*{\Width}\raisebox{\Height}{{\color{#7}\scalebox{0.0#4}[0.0#5]{\tmpcontents}}}}% +% +\else% +\settowidth{\Width}{{\color{#7}\scalebox{0.0#4}[0.#5]{\tmpcontents}}}\setlength{\Width}{0\Width}% +\settoheight{\Height}{{\color{#7}\scalebox{0.0#4}[0.#5]{\tmpcontents}}}\settodepth{\Depth}{{\color{#7}\scalebox{0.0#4}[0.#5]{\tmpcontents}}}\setlength{\Height}{-\Height}% +\put(#2,-#3){\hspace*{\Width}\raisebox{\Height}{{\color{#7}\scalebox{0.0#4}[0.#5]{\tmpcontents}}}}% +% +\fi% +}% +% +\else% +% +{% +\ifnum % +#5<10 % +\settowidth{\Width}{{\color{#7}\scalebox{0.#4}[0.0#5]{\tmpcontents}}}\setlength{\Width}{0\Width}% +\settoheight{\Height}{{\color{#7}\scalebox{0.#4}[0.0#5]{\tmpcontents}}}\settodepth{\Depth}{{\color{#7}\scalebox{0.#4}[0.0#5]{\tmpcontents}}}\setlength{\Height}{-\Height}% +\put(#2,-#3){\hspace*{\Width}\raisebox{\Height}{{\color{#7}\scalebox{0.#4}[0.0#5]{\tmpcontents}}}}% +% +\else% +\settowidth{\Width}{{\color{#7}\scalebox{0.#4}[0.#5]{\tmpcontents}}}\setlength{\Width}{0\Width}% +\settoheight{\Height}{{\color{#7}\scalebox{0.#4}[0.#5]{\tmpcontents}}}\settodepth{\Depth}{{\color{#7}\scalebox{0.#4}[0.#5]{\tmpcontents}}}\setlength{\Height}{-\Height}% +\put(#2,-#3){\hspace*{\Width}\raisebox{\Height}{{\color{#7}\scalebox{0.#4}[0.#5]{\tmpcontents}}}}% +% +\fi% +}% +% +\fi% +}% +% +{% +\ifnum % +#1>0 % +\boxframese{#2}{#3}{#4}{#5}{}% +% +\fi% +}% +% +}% +\newcommand{\shadeboxse}[7][0]{% +\shadebox[#1]{#2}{#3}{#4}{#5}{#6}{#7}% +% +}% +\newcommand{\shadeboxc}[7][0]{% +\setcounter{ketpicctrd}{-#4}% +\divide\value{ketpicctrd} by 2% +\addtocounter{ketpicctrd}{#2}% +\setcounter{ketpicctre}{-#4}% +\divide\value{ketpicctre} by 2% +\addtocounter{ketpicctre}{#3}% +\shadebox[#1]{\theketpicctrd}{\theketpicctre}{#4}{#5}{#6}{#7}% +% +}% +\newcommand{\shadeboxe}[7][0]{% +\setcounter{ketpicctrd}{#2}% +\setcounter{ketpicctre}{-#4}% +\divide\value{ketpicctre} by 2% +\addtocounter{ketpicctre}{#3}% +\shadebox[#1]{\theketpicctrd}{\theketpicctre}{#4}{#5}{#6}{#7}% +% +}% +\newcommand{\shadeboxw}[7][0]{% +\setcounter{ketpicctrd}{-#4}% +\addtocounter{ketpicctrd}{#2}% +\setcounter{ketpicctre}{-#4}% +\divide\value{ketpicctre} by 2% +\addtocounter{ketpicctre}{#3}% +\shadebox[#1]{\theketpicctrd}{\theketpicctre}{#4}{#5}{#6}{#7}% +% +}% +\newcommand{\shadeboxn}[7][0]{% +\setcounter{ketpicctrd}{-#4}% +\divide\value{ketpicctrd} by 2% +\addtocounter{ketpicctrd}{#2}% +\setcounter{ketpicctre}{#3}% +\addtocounter{ketpicctre}{-#4}% +\shadebox[#1]{\theketpicctrd}{\theketpicctre}{#4}{#5}{#6}{#7}% +% +}% +\newcommand{\shadeboxs}[7][0]{% +\setcounter{ketpicctrd}{-#4}% +\divide\value{ketpicctrd} by 2% +\addtocounter{ketpicctrd}{#2}% +\setcounter{ketpicctre}{#3}% +\shadebox[#1]{\theketpicctrd}{\theketpicctre}{#4}{#5}{#6}{#7}% +% +}% +\newcommand{\shadeboxnw}[7][0]{% +\setcounter{ketpicctrd}{-#4}% +\addtocounter{ketpicctrd}{#2}% +\setcounter{ketpicctre}{#3}% +\addtocounter{ketpicctre}{-#4}% +\shadebox[#1]{\theketpicctrd}{\theketpicctre}{#4}{#5}{#6}{#7}% +% +}% +\newcommand{\shadeboxne}[7][0]{% +\setcounter{ketpicctrd}{#2}% +\setcounter{ketpicctre}{#3}% +\addtocounter{ketpicctre}{-#4}% +\shadebox[#1]{\theketpicctrd}{\theketpicctre}{#4}{#5}{#6}{#7}% +% +}% +\newcommand{\shadeboxsw}[7][0]{% +\setcounter{ketpicctrd}{-#4}% +\addtocounter{ketpicctrd}{#2}% +\setcounter{ketpicctre}{#3}% +\shadebox[#1]{\theketpicctrd}{\theketpicctre}{#4}{#5}{#6}{#7}% +% +}% +\newcommand{\eraser}[5][0]{% +\def\tmpcontents{% +{\unitlength=1mm% +\begin{picture}% +( 100.00000, 100.00000)( 0.00000, 0.00000)% +\special{pn 8}% +% +\special{pa 0 0}\special{pa 3937 0}\special{pa 3937 -3937}\special{pa 0 -3937}\special{pa 0 0}% +\special{sh 0}\special{ip}% +\end{picture}}%% +}% +% +{% +\ifnum % +#4<10 % +% +{% +\ifnum % +#5<10 % +\settowidth{\Width}{\scalebox{0.0#4}[0.0#5]{\tmpcontents}}\setlength{\Width}{0\Width}% +\settoheight{\Height}{\scalebox{0.0#4}[0.0#5]{\tmpcontents}}\settodepth{\Depth}{\scalebox{0.0#4}[0.0#5]{\tmpcontents}}\setlength{\Height}{-\Height}% +\put(#2,-#3){\hspace*{\Width}\raisebox{\Height}{\scalebox{0.0#4}[0.0#5]{\tmpcontents}}}% +% +\else% +\settowidth{\Width}{\scalebox{0.0#4}[0.#5]{\tmpcontents}}\setlength{\Width}{0\Width}% +\settoheight{\Height}{\scalebox{0.0#4}[0.#5]{\tmpcontents}}\settodepth{\Depth}{\scalebox{0.0#4}[0.#5]{\tmpcontents}}\setlength{\Height}{-\Height}% +\put(#2,-#3){\hspace*{\Width}\raisebox{\Height}{\scalebox{0.0#4}[0.#5]{\tmpcontents}}}% +% +\fi% +}% +% +\else% +% +{% +\ifnum % +#5<10 % +\settowidth{\Width}{\scalebox{0.#4}[0.0#5]{\tmpcontents}}\setlength{\Width}{0\Width}% +\settoheight{\Height}{\scalebox{0.#4}[0.0#5]{\tmpcontents}}\settodepth{\Depth}{\scalebox{0.#4}[0.0#5]{\tmpcontents}}\setlength{\Height}{-\Height}% +\put(#2,-#3){\hspace*{\Width}\raisebox{\Height}{\scalebox{0.#4}[0.0#5]{\tmpcontents}}}% +% +\else% +\settowidth{\Width}{\scalebox{0.#4}[0.#5]{\tmpcontents}}\setlength{\Width}{0\Width}% +\settoheight{\Height}{\scalebox{0.#4}[0.#5]{\tmpcontents}}\settodepth{\Depth}{\scalebox{0.#4}[0.#5]{\tmpcontents}}\setlength{\Height}{-\Height}% +\put(#2,-#3){\hspace*{\Width}\raisebox{\Height}{\scalebox{0.#4}[0.#5]{\tmpcontents}}}% +% +\fi% +}% +% +\fi% +}% +% +{% +\ifnum % +#1>0 % +\boxframese{#2}{#3}{#4}{#5}{}% +% +\fi% +}% +% +}% +\newcommand{\eraserse}[5][0]{% +\eraser[#1]{#2}{#3}{#4}{#5}% +% +}% +\newcommand{\eraserc}[5][0]{% +\setcounter{ketpicctrd}{-#4}% +\divide\value{ketpicctrd} by 2% +\addtocounter{ketpicctrd}{#2}% +\setcounter{ketpicctre}{-#4}% +\divide\value{ketpicctre} by 2% +\addtocounter{ketpicctre}{#3}% +\eraser[#1]{\theketpicctrd}{\theketpicctre}{#4}{#5}% +% +}% +\newcommand{\erasere}[5][0]{% +\setcounter{ketpicctrd}{#2}% +\setcounter{ketpicctre}{-#4}% +\divide\value{ketpicctre} by 2% +\addtocounter{ketpicctre}{#3}% +\eraser[#1]{\theketpicctrd}{\theketpicctre}{#4}{#5}% +% +}% +\newcommand{\eraserw}[5][0]{% +\setcounter{ketpicctrd}{-#4}% +\addtocounter{ketpicctrd}{#2}% +\setcounter{ketpicctre}{-#4}% +\divide\value{ketpicctre} by 2% +\addtocounter{ketpicctre}{#3}% +\eraser[#1]{\theketpicctrd}{\theketpicctre}{#4}{#5}% +% +}% +\newcommand{\erasern}[5][0]{% +\setcounter{ketpicctrd}{-#4}% +\divide\value{ketpicctrd} by 2% +\addtocounter{ketpicctrd}{#2}% +\setcounter{ketpicctre}{#3}% +\addtocounter{ketpicctre}{-#4}% +\eraser[#1]{\theketpicctrd}{\theketpicctre}{#4}{#5}% +% +}% +\newcommand{\erasers}[5][0]{% +\setcounter{ketpicctrd}{-#4}% +\divide\value{ketpicctrd} by 2% +\addtocounter{ketpicctrd}{#2}% +\setcounter{ketpicctre}{#3}% +\eraser[#1]{\theketpicctrd}{\theketpicctre}{#4}{#5}% +% +}% +\newcommand{\erasernw}[5][0]{% +\setcounter{ketpicctrd}{-#4}% +\addtocounter{ketpicctrd}{#2}% +\setcounter{ketpicctre}{#3}% +\addtocounter{ketpicctre}{-#4}% +\eraser[#1]{\theketpicctrd}{\theketpicctre}{#4}{#5}% +% +}% +\newcommand{\eraserne}[5][0]{% +\setcounter{ketpicctrd}{#2}% +\setcounter{ketpicctre}{#3}% +\addtocounter{ketpicctre}{-#4}% +\eraser[#1]{\theketpicctrd}{\theketpicctre}{#4}{#5}% +% +}% +\newcommand{\erasersw}[5][0]{% +\setcounter{ketpicctrd}{-#4}% +\addtocounter{ketpicctrd}{#2}% +\setcounter{ketpicctre}{#3}% +\eraser[#1]{\theketpicctrd}{\theketpicctre}{#4}{#5}% +% +}% +\newcommand{\arrowhead}[4][1]{% +\def\tmpcontents{% +{\unitlength=1mm% +\begin{picture}% +( 4.00000, 1.23607)( -2.00000, -0.61803)% +\special{pn 8}% +% +\special{pn 4}% +\special{pa 0 0}\special{pa 79 24}\special{pa 79 -24}\special{pa 0 0}% +\special{fp}% +\special{pn 8}% +\special{pa 0 0}\special{pa 79 24}\special{pa 79 -24}\special{pa 0 0}\special{sh 1}\special{ip}% +\end{picture}}%% +}% +\settowidth{\Width}{\rotatebox[origin=c]{#4}{\scalebox{#1}{\tmpcontents}}}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{\rotatebox[origin=c]{#4}{\scalebox{#1}{\tmpcontents}}}\settodepth{\Depth}{\rotatebox[origin=c]{#4}{\scalebox{#1}{\tmpcontents}}}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(#2,-#3){\hspace*{\Width}\raisebox{\Height}{\rotatebox[origin=c]{#4}{\scalebox{#1}{\tmpcontents}}}}% +% +}% +\newcommand{\lineseg}[5][12]{% +\def\tmpcontents{% +\setcounter{ketpicctra}{0}% +\setcounter{ketpicctra}{1}% +\addtocounter{ketpicctra}{-1}% +% +{% +\loop% +\addtocounter{ketpicctra}{1}% +{\unitlength=1mm% +\begin{picture}% +( 1.00000, 0.00200)( 0.00000, -0.00100)% +\special{pn 8}% +% +\special{pn #1}% +\special{pa 0 0}\special{pa 39 0}% +\special{fp}% +\end{picture}}%% +\ifnum\theketpicctra<#4% +\repeat% +}% +% +}% +% +{% +\ifnum % +#5>0 % +% +{% +\ifnum % +#5<90 % +\settowidth{\Width}{\rotatebox[origin=c]{#5}{\tmpcontents}}\setlength{\Width}{0\Width}% +\settoheight{\Height}{\rotatebox[origin=c]{#5}{\tmpcontents}}\settodepth{\Depth}{\rotatebox[origin=c]{#5}{\tmpcontents}}\setlength{\Height}{\Depth}% +\put(#2,-#3){\hspace*{\Width}\raisebox{\Height}{\rotatebox[origin=c]{#5}{\tmpcontents}}}% +% +\else% +\settowidth{\Width}{\rotatebox[origin=c]{#5}{\tmpcontents}}\setlength{\Width}{-1\Width}% +\settoheight{\Height}{\rotatebox[origin=c]{#5}{\tmpcontents}}\settodepth{\Depth}{\rotatebox[origin=c]{#5}{\tmpcontents}}\setlength{\Height}{\Depth}% +\put(#2,-#3){\hspace*{\Width}\raisebox{\Height}{\rotatebox[origin=c]{#5}{\tmpcontents}}}% +% +\fi% +}% +% +\else% +% +{% +\ifnum % +#5>-90 % +\settowidth{\Width}{\rotatebox[origin=c]{#5}{\tmpcontents}}\setlength{\Width}{0\Width}% +\settoheight{\Height}{\rotatebox[origin=c]{#5}{\tmpcontents}}\settodepth{\Depth}{\rotatebox[origin=c]{#5}{\tmpcontents}}\setlength{\Height}{-\Height}% +\put(#2,-#3){\hspace*{\Width}\raisebox{\Height}{\rotatebox[origin=c]{#5}{\tmpcontents}}}% +% +\else% +\settowidth{\Width}{\rotatebox[origin=c]{#5}{\tmpcontents}}\setlength{\Width}{-1\Width}% +\settoheight{\Height}{\rotatebox[origin=c]{#5}{\tmpcontents}}\settodepth{\Depth}{\rotatebox[origin=c]{#5}{\tmpcontents}}\setlength{\Height}{-\Height}% +\put(#2,-#3){\hspace*{\Width}\raisebox{\Height}{\rotatebox[origin=c]{#5}{\tmpcontents}}}% +% +\fi% +}% +% +\fi% +}% +% +}% +\newcommand{\dashlineseg}[5][12]{% +\def\tmpcontents{% +\setcounter{ketpicctra}{0}% +\setcounter{ketpicctra}{1}% +\addtocounter{ketpicctra}{-1}% +% +{% +\loop% +\addtocounter{ketpicctra}{1}% +{\unitlength=1mm% +\begin{picture}% +( 1.00000, 0.00200)( 0.00000, -0.00100)% +\special{pn 8}% +% +\special{pn #1}% +\special{pa 0 0}\special{pa 20 0}% +\special{fp}% +\end{picture}}%% +\ifnum\theketpicctra<#4% +\repeat% +}% +% +}% +% +{% +\ifnum % +#5>0 % +% +{% +\ifnum % +#5<90 % +\settowidth{\Width}{\rotatebox[origin=c]{#5}{\tmpcontents}}\setlength{\Width}{0\Width}% +\settoheight{\Height}{\rotatebox[origin=c]{#5}{\tmpcontents}}\settodepth{\Depth}{\rotatebox[origin=c]{#5}{\tmpcontents}}\setlength{\Height}{\Depth}% +\put(#2,-#3){\hspace*{\Width}\raisebox{\Height}{\rotatebox[origin=c]{#5}{\tmpcontents}}}% +% +\else% +\settowidth{\Width}{\rotatebox[origin=c]{#5}{\tmpcontents}}\setlength{\Width}{-1\Width}% +\settoheight{\Height}{\rotatebox[origin=c]{#5}{\tmpcontents}}\settodepth{\Depth}{\rotatebox[origin=c]{#5}{\tmpcontents}}\setlength{\Height}{\Depth}% +\put(#2,-#3){\hspace*{\Width}\raisebox{\Height}{\rotatebox[origin=c]{#5}{\tmpcontents}}}% +% +\fi% +}% +% +\else% +% +{% +\ifnum % +#5>-90 % +\settowidth{\Width}{\rotatebox[origin=c]{#5}{\tmpcontents}}\setlength{\Width}{0\Width}% +\settoheight{\Height}{\rotatebox[origin=c]{#5}{\tmpcontents}}\settodepth{\Depth}{\rotatebox[origin=c]{#5}{\tmpcontents}}\setlength{\Height}{-\Height}% +\put(#2,-#3){\hspace*{\Width}\raisebox{\Height}{\rotatebox[origin=c]{#5}{\tmpcontents}}}% +% +\else% +\settowidth{\Width}{\rotatebox[origin=c]{#5}{\tmpcontents}}\setlength{\Width}{-1\Width}% +\settoheight{\Height}{\rotatebox[origin=c]{#5}{\tmpcontents}}\settodepth{\Depth}{\rotatebox[origin=c]{#5}{\tmpcontents}}\setlength{\Height}{-\Height}% +\put(#2,-#3){\hspace*{\Width}\raisebox{\Height}{\rotatebox[origin=c]{#5}{\tmpcontents}}}% +% +\fi% +}% +% +\fi% +}% +% +}% +\def\arrowline#1#2#3#4{% +\lineseg[12]{#1}{#2}{#3}{#4}% +\arrowhead{#1}{#2}{#4}% +% +}% +\newcommand{\arrowlineseg}[5][12]{% +\lineseg[#1]{#2}{#3}{#4}{#5}% +\arrowhead{#2}{#3}{#5}% +% +}% +\newcommand{\conversion}[1]{% +\setcounter{ketpicctra}{#1}% +\multiply\value{ketpicctra} by 3937% +\divide\value{ketpicctra} by 100% +\{\theketpicctra\}% +% +}% +\def\drwline#1#2#3#4{% +\special{pn 8}% +\special{pa #1 #2}\special{pa #3 #4}% +\special{fp}% +% +}% +\newcommand{\dispgrid}[2]{% +\def\tmpcontents{% +{\unitlength=1mm% +\begin{picture}% +( 10.00000, 0.02000)( 0.00000, -0.01000)% +\special{pn 8}% +% +\special{pn 12}% +\special{pa -6 0}\special{pa 6 0}\special{fp}\special{pa 33 0}\special{pa 45 0}\special{fp}% +\special{pa 73 0}\special{pa 85 0}\special{fp}\special{pa 112 0}\special{pa 124 0}\special{fp}% +\special{pa 151 0}\special{pa 163 0}\special{fp}\special{pa 191 0}\special{pa 203 0}\special{fp}% +\special{pa 230 0}\special{pa 242 0}\special{fp}\special{pa 270 0}\special{pa 282 0}\special{fp}% +\special{pa 309 0}\special{pa 321 0}\special{fp}\special{pa 348 0}\special{pa 360 0}\special{fp}% +\special{pa 388 0}\special{pa 400 0}\special{fp}\special{pn 8}% +\end{picture}}%% +}% +\setcounter{ketpicctre}{#2}% +\divide\value{ketpicctre} by 10% +\setcounter{ketpicctrf}{#1}% +\divide\value{ketpicctrf} by 10% +\addtocounter{ketpicctrf}{-1}% +\setcounter{ketpicctra}{0}% +\setcounter{ketpicctra}{0}% +\addtocounter{ketpicctra}{-1}% +% +{% +\loop% +\addtocounter{ketpicctra}{1}% +\setcounter{ketpicctrd}{0}% +\addtocounter{ketpicctrd}{-\value{ketpicctra}}% +\multiply\value{ketpicctrd} by 10% +\setcounter{ketpicctrc}{0}% +\setcounter{ketpicctrb}{0}% +\setcounter{ketpicctrb}{0}% +\addtocounter{ketpicctrb}{-1}% +% +{% +\loop% +\addtocounter{ketpicctrb}{1}% +\settowidth{\Width}{\tmpcontents}\setlength{\Width}{0\Width}% +\settoheight{\Height}{\tmpcontents}\settodepth{\Depth}{\tmpcontents}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(\theketpicctrc,\theketpicctrd){\hspace*{\Width}\raisebox{\Height}{\tmpcontents}}% +\addtocounter{ketpicctrc}{10}% +% +\ifnum\theketpicctrb<\theketpicctrf% +\repeat% +}% +\setcounter{ketpicctrg}{0}% +\addtocounter{ketpicctrg}{-\value{ketpicctrd}}% +\settowidth{\Width}{\theketpicctrg}\setlength{\Width}{-1\Width}% +\settoheight{\Height}{\theketpicctrg}\settodepth{\Depth}{\theketpicctrg}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(-1,\theketpicctrd){\hspace*{\Width}\raisebox{\Height}{\theketpicctrg}}% +% +\ifnum\theketpicctra<\theketpicctre% +\repeat% +}% +% +{% +\ifnum % +\theketpicctrd>-#2 % +\setcounter{ketpicctrc}{0}% +\setcounter{ketpicctrb}{0}% +\setcounter{ketpicctrb}{0}% +\addtocounter{ketpicctrb}{-1}% +% +{% +\loop% +\addtocounter{ketpicctrb}{1}% +\settowidth{\Width}{\tmpcontents}\setlength{\Width}{0\Width}% +\settoheight{\Height}{\tmpcontents}\settodepth{\Depth}{\tmpcontents}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(\theketpicctrc,-#2){\hspace*{\Width}\raisebox{\Height}{\tmpcontents}}% +\addtocounter{ketpicctrc}{10}% +% +\ifnum\theketpicctrb<\theketpicctrf% +\repeat% +}% +% +\fi% +}% +\def\tmpcontents{% +{\unitlength=1mm% +\begin{picture}% +( 0.02000, 10.00000)( -0.01000, 0.00000)% +\special{pn 8}% +% +\special{pn 12}% +\special{pa 0 6}\special{pa 0 -6}\special{fp}\special{pa 0 -33}\special{pa 0 -45}\special{fp}% +\special{pa 0 -73}\special{pa 0 -85}\special{fp}\special{pa 0 -112}\special{pa 0 -124}\special{fp}% +\special{pa 0 -151}\special{pa 0 -163}\special{fp}\special{pa 0 -191}\special{pa 0 -203}\special{fp}% +\special{pa 0 -230}\special{pa 0 -242}\special{fp}\special{pa 0 -270}\special{pa 0 -282}\special{fp}% +\special{pa 0 -309}\special{pa 0 -321}\special{fp}\special{pa 0 -348}\special{pa 0 -360}\special{fp}% +\special{pa 0 -388}\special{pa 0 -400}\special{fp}\special{pn 8}% +\end{picture}}%% +}% +\def\tmpcontentsb{% +{\unitlength=1mm% +\begin{picture}% +( 0.02000, 0.02000)( -0.01000, -0.01000)% +\special{pn 8}% +% +\special{pa 3 -3}\special{pa -3 -3}\special{pa -3 3}\special{pa 3 3}\special{pa 3 -3}% +\special{sh 1}\special{fp}% +\end{picture}}%% +}% +\setcounter{ketpicctre}{#2}% +\divide\value{ketpicctre} by 10% +\addtocounter{ketpicctre}{-1}% +\setcounter{ketpicctrf}{#1}% +\divide\value{ketpicctrf} by 10% +\setcounter{ketpicctra}{0}% +\setcounter{ketpicctra}{0}% +\addtocounter{ketpicctra}{-1}% +% +{% +\loop% +\addtocounter{ketpicctra}{1}% +\setcounter{ketpicctrd}{0}% +\addtocounter{ketpicctrd}{\value{ketpicctra}}% +\multiply\value{ketpicctrd} by 10% +\setcounter{ketpicctrc}{0}% +\setcounter{ketpicctrb}{0}% +\setcounter{ketpicctrb}{0}% +\addtocounter{ketpicctrb}{-1}% +% +{% +\loop% +\addtocounter{ketpicctrb}{1}% +\settowidth{\Width}{\tmpcontents}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{\tmpcontents}\settodepth{\Depth}{\tmpcontents}\setlength{\Height}{-\Height}% +\put(\theketpicctrd,\theketpicctrc){\hspace*{\Width}\raisebox{\Height}{\tmpcontents}}% +\addtocounter{ketpicctrc}{-10}% +% +\ifnum\theketpicctrb<\theketpicctre% +\repeat% +}% +% +{% +\ifnum % +\theketpicctrc>-#2 % +\setcounter{ketpicctrb}{0}% +\setcounter{ketpicctrb}{-#2}% +\addtocounter{ketpicctrb}{-1}% +% +{% +\loop% +\addtocounter{ketpicctrb}{1}% +\settowidth{\Width}{\tmpcontentsb}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{\tmpcontentsb}\settodepth{\Depth}{\tmpcontentsb}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(\theketpicctrd,\theketpicctrb){\hspace*{\Width}\raisebox{\Height}{\tmpcontentsb}}% +% +\ifnum\theketpicctrb<\theketpicctrc% +\repeat% +}% +% +\fi% +}% +\setcounter{ketpicctrg}{-#2}% +\addtocounter{ketpicctrg}{-1}% +\settowidth{\Width}{\theketpicctrd}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{\theketpicctrd}\settodepth{\Depth}{\theketpicctrd}\setlength{\Height}{-\Height}% +\put(\theketpicctrd,\theketpicctrg){\hspace*{\Width}\raisebox{\Height}{\theketpicctrd}}% +% +\ifnum\theketpicctra<\theketpicctrf% +\repeat% +}% +% +}% +\newcommand{\dispgridneg}[2]{% +\def\tmpcontents{% +{\unitlength=1mm% +\begin{picture}% +( 10.00000, 0.02000)( 0.00000, -0.01000)% +\special{pn 8}% +% +\special{pn 12}% +\special{pa -6 0}\special{pa 6 0}\special{fp}\special{pa 33 0}\special{pa 45 0}\special{fp}% +\special{pa 73 0}\special{pa 85 0}\special{fp}\special{pa 112 0}\special{pa 124 0}\special{fp}% +\special{pa 151 0}\special{pa 163 0}\special{fp}\special{pa 191 0}\special{pa 203 0}\special{fp}% +\special{pa 230 0}\special{pa 242 0}\special{fp}\special{pa 270 0}\special{pa 282 0}\special{fp}% +\special{pa 309 0}\special{pa 321 0}\special{fp}\special{pa 348 0}\special{pa 360 0}\special{fp}% +\special{pa 388 0}\special{pa 400 0}\special{fp}\special{pn 8}% +\end{picture}}%% +}% +\setcounter{ketpicctre}{#2}% +\multiply\value{ketpicctre} by -1% +\divide\value{ketpicctre} by 10% +\setcounter{ketpicctrf}{#1}% +\divide\value{ketpicctrf} by 10% +\addtocounter{ketpicctrf}{-1}% +\setcounter{ketpicctra}{0}% +\setcounter{ketpicctra}{0}% +\addtocounter{ketpicctra}{-1}% +% +{% +\loop% +\addtocounter{ketpicctra}{1}% +\setcounter{ketpicctrd}{\value{ketpicctra}}% +\multiply\value{ketpicctrd} by 10% +\setcounter{ketpicctrc}{0}% +\setcounter{ketpicctrb}{0}% +\setcounter{ketpicctrb}{0}% +\addtocounter{ketpicctrb}{-1}% +% +{% +\loop% +\addtocounter{ketpicctrb}{1}% +\settowidth{\Width}{\tmpcontents}\setlength{\Width}{0\Width}% +\settoheight{\Height}{\tmpcontents}\settodepth{\Depth}{\tmpcontents}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(\theketpicctrc,\theketpicctrd){\hspace*{\Width}\raisebox{\Height}{\tmpcontents}}% +\addtocounter{ketpicctrc}{10}% +% +\ifnum\theketpicctrb<\theketpicctrf% +\repeat% +}% +\setcounter{ketpicctrg}{0}% +\addtocounter{ketpicctrg}{-\value{ketpicctrd}}% +\settowidth{\Width}{\theketpicctrg}\setlength{\Width}{-1\Width}% +\settoheight{\Height}{\theketpicctrg}\settodepth{\Depth}{\theketpicctrg}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(-1,\theketpicctrd){\hspace*{\Width}\raisebox{\Height}{\theketpicctrg}}% +% +\ifnum\theketpicctra<\theketpicctre% +\repeat% +}% +% +{% +\ifnum % +\theketpicctrd>-#2 % +\setcounter{ketpicctrc}{0}% +\setcounter{ketpicctrb}{0}% +\setcounter{ketpicctrb}{0}% +\addtocounter{ketpicctrb}{-1}% +% +{% +\loop% +\addtocounter{ketpicctrb}{1}% +\settowidth{\Width}{\tmpcontents}\setlength{\Width}{0\Width}% +\settoheight{\Height}{\tmpcontents}\settodepth{\Depth}{\tmpcontents}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(\theketpicctrc,-#2){\hspace*{\Width}\raisebox{\Height}{\tmpcontents}}% +\addtocounter{ketpicctrc}{10}% +% +\ifnum\theketpicctrb<\theketpicctrf% +\repeat% +}% +% +\fi% +}% +\def\tmpcontents{% +{\unitlength=1mm% +\begin{picture}% +( 0.02000, 10.00000)( -0.01000, 0.00000)% +\special{pn 8}% +% +\special{pn 12}% +\special{pa 0 6}\special{pa 0 -6}\special{fp}\special{pa 0 -33}\special{pa 0 -45}\special{fp}% +\special{pa 0 -73}\special{pa 0 -85}\special{fp}\special{pa 0 -112}\special{pa 0 -124}\special{fp}% +\special{pa 0 -151}\special{pa 0 -163}\special{fp}\special{pa 0 -191}\special{pa 0 -203}\special{fp}% +\special{pa 0 -230}\special{pa 0 -242}\special{fp}\special{pa 0 -270}\special{pa 0 -282}\special{fp}% +\special{pa 0 -309}\special{pa 0 -321}\special{fp}\special{pa 0 -348}\special{pa 0 -360}\special{fp}% +\special{pa 0 -388}\special{pa 0 -400}\special{fp}\special{pn 8}% +\end{picture}}%% +}% +\def\tmpcontentsb{% +{\unitlength=1mm% +\begin{picture}% +( 0.02000, 0.02000)( -0.01000, -0.01000)% +\special{pn 8}% +% +\special{pa 3 -3}\special{pa -3 -3}\special{pa -3 3}\special{pa 3 3}\special{pa 3 -3}% +\special{sh 1}\special{fp}% +\end{picture}}%% +}% +\setcounter{ketpicctre}{#2}% +\multiply\value{ketpicctre} by -1% +\divide\value{ketpicctre} by 10% +\addtocounter{ketpicctre}{-1}% +\setcounter{ketpicctrf}{#1}% +\divide\value{ketpicctrf} by 10% +\setcounter{ketpicctra}{0}% +\setcounter{ketpicctra}{0}% +\addtocounter{ketpicctra}{-1}% +% +{% +\loop% +\addtocounter{ketpicctra}{1}% +\setcounter{ketpicctrd}{0}% +\addtocounter{ketpicctrd}{\value{ketpicctra}}% +\multiply\value{ketpicctrd} by 10% +\setcounter{ketpicctrc}{0}% +\setcounter{ketpicctrb}{0}% +\setcounter{ketpicctrb}{0}% +\addtocounter{ketpicctrb}{-1}% +% +{% +\loop% +\addtocounter{ketpicctrb}{1}% +\settowidth{\Width}{\tmpcontents}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{\tmpcontents}\settodepth{\Depth}{\tmpcontents}\setlength{\Height}{\Depth}% +\put(\theketpicctrd,\theketpicctrc){\hspace*{\Width}\raisebox{\Height}{\tmpcontents}}% +\addtocounter{ketpicctrc}{10}% +% +\ifnum\theketpicctrb<\theketpicctre% +\repeat% +}% +% +{% +\ifnum % +\theketpicctrc>-#2 % +\setcounter{ketpicctrb}{0}% +\setcounter{ketpicctrb}{-#2}% +\addtocounter{ketpicctrb}{-1}% +% +{% +\loop% +\addtocounter{ketpicctrb}{1}% +\settowidth{\Width}{\tmpcontentsb}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{\tmpcontentsb}\settodepth{\Depth}{\tmpcontentsb}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(\theketpicctrd,\theketpicctrb){\hspace*{\Width}\raisebox{\Height}{\tmpcontentsb}}% +% +\ifnum\theketpicctrb<\theketpicctrc% +\repeat% +}% +% +\fi% +}% +\setcounter{ketpicctrg}{-#2}% +\addtocounter{ketpicctrg}{1}% +\settowidth{\Width}{\theketpicctrd}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{\theketpicctrd}\settodepth{\Depth}{\theketpicctrd}\setlength{\Height}{\Depth}% +\put(\theketpicctrd,\theketpicctrg){\hspace*{\Width}\raisebox{\Height}{\theketpicctrd}}% +% +\ifnum\theketpicctra<\theketpicctrf% +\repeat% +}% +% +}% +\newenvironment{layer}[3][0]{% +\setlength{\layercurrentunit}{\unitlength}% +\unitlength=1 mm% +\vspace{-\baselineskip}% +\noindent% +\hspace*{#1 mm}% +\begin{picture}(#3,0)(0,0)% +% +{% +\ifnum % +#3>0 % +\dispgrid{#2}{#3}% +% +\fi% +}% +% +{% +\ifnum % +#3<0 % +\dispgridneg{#2}{#3}% +% +\fi% +}% +}{% +\end{picture}% +\setlength{\unitlength}{\layercurrentunit}% +% +}% +\newenvironment{layerv}[3][0]{% +\setlength{\layercurrentunit}{\unitlength}% +\unitlength=1 mm% +\vspace*{-\baselineskip}% +\vspace*{#2 mm}% + +\setcounter{ketpicctrj}{-#2}% +\noindent% +\hspace*{#1 mm}% +\begin{picture}(100,0)(0,0)% +% +{% +\ifnum % +#3>0 % +\setlength{\Width}{\textwidth}% +\addtolength{\Width}{-#1 mm}% +\setcounter{ketpicctri}{0}% +\setcounter{ketpicctri}{1}% +\addtocounter{ketpicctri}{-1}% +% +{% +\loop% +\addtocounter{ketpicctri}{1}% +% +{% +\ifdim % +\theketpicctri mm>\Width % +\addtocounter{ketpicctri}{500}% +% +\fi% +}% +% +\ifnum\theketpicctri<400% +\repeat% +}% +\addtocounter{ketpicctri}{-500}% +\addtocounter{ketpicctri}{-1}% +\dispgrid{\theketpicctri}{#3}% +% +\fi% +}% +}{% +\end{picture}% +\vspace*{\theketpicctrj mm}% +\setlength{\unitlength}{\layercurrentunit}% +% +}% +\newenvironment{layerg}[2][1]{% +\setlength{\layercurrentunit}{\unitlength}% +\unitlength=1 mm% +\vspace*{-\baselineskip}% +\ketcalcheight{#2}% +\setcounter{ketpicctrj}{\value{ketpicctra}}% +\ketcalcdepth{#2}% +\addtocounter{ketpicctrj}{\value{ketpicctra}}% +\vspace*{-\theketpicctrj mm}% + +\noindent% +\begin{picture}(100,0)(0,0)% +% +{% +\ifnum % +#1>0 % +\setlength{\Width}{\textwidth}% +\addtolength{\Width}{-#1 mm}% +\setcounter{ketpicctri}{0}% +\setcounter{ketpicctri}{1}% +\addtocounter{ketpicctri}{-1}% +% +{% +\loop% +\addtocounter{ketpicctri}{1}% +% +{% +\ifdim % +\theketpicctri mm>\Width % +\addtocounter{ketpicctri}{500}% +% +\fi% +}% +% +\ifnum\theketpicctri<400% +\repeat% +}% +\addtocounter{ketpicctri}{-500}% +\addtocounter{ketpicctri}{-1}% +\dispgrid{\theketpicctri}{\theketpicctrj}% +% +\fi% +}% +}{% +\end{picture}% +\vspace*{\theketpicctrj mm}% +\setlength{\unitlength}{\layercurrentunit}% +% +}% +\newcommand{\putnotec}[3]{% +\settowidth{\Width}{#3}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{#3}\settodepth{\Depth}{#3}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(#1,-#2){\hspace*{\Width}\raisebox{\Height}{#3}}% +% +}% +\newcommand{\putnotee}[3]{% +\settowidth{\Width}{#3}\setlength{\Width}{0\Width}% +\settoheight{\Height}{#3}\settodepth{\Depth}{#3}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(#1,-#2){\hspace*{\Width}\raisebox{\Height}{#3}}% +% +}% +\newcommand{\putnotew}[3]{% +\settowidth{\Width}{#3}\setlength{\Width}{-1\Width}% +\settoheight{\Height}{#3}\settodepth{\Depth}{#3}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(#1,-#2){\hspace*{\Width}\raisebox{\Height}{#3}}% +% +}% +\newcommand{\putnotes}[3]{% +\settowidth{\Width}{#3}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{#3}\settodepth{\Depth}{#3}\setlength{\Height}{-\Height}% +\put(#1,-#2){\hspace*{\Width}\raisebox{\Height}{#3}}% +% +}% +\newcommand{\putnoten}[3]{% +\settowidth{\Width}{#3}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{#3}\settodepth{\Depth}{#3}\setlength{\Height}{\Depth}% +\put(#1,-#2){\hspace*{\Width}\raisebox{\Height}{#3}}% +% +}% +\newcommand{\putnotene}[3]{% +\settowidth{\Width}{#3}\setlength{\Width}{0\Width}% +\settoheight{\Height}{#3}\settodepth{\Depth}{#3}\setlength{\Height}{\Depth}% +\put(#1,-#2){\hspace*{\Width}\raisebox{\Height}{#3}}% +% +}% +\newcommand{\putnotenw}[3]{% +\settowidth{\Width}{#3}\setlength{\Width}{-1\Width}% +\settoheight{\Height}{#3}\settodepth{\Depth}{#3}\setlength{\Height}{\Depth}% +\put(#1,-#2){\hspace*{\Width}\raisebox{\Height}{#3}}% +% +}% +\newcommand{\putnotese}[3]{% +\settowidth{\Width}{#3}\setlength{\Width}{0\Width}% +\settoheight{\Height}{#3}\settodepth{\Depth}{#3}\setlength{\Height}{-\Height}% +\put(#1,-#2){\hspace*{\Width}\raisebox{\Height}{#3}}% +% +}% +\newcommand{\putnotesw}[3]{% +\settowidth{\Width}{#3}\setlength{\Width}{-1\Width}% +\settoheight{\Height}{#3}\settodepth{\Depth}{#3}\setlength{\Height}{-\Height}% +\put(#1,-#2){\hspace*{\Width}\raisebox{\Height}{#3}}% +% +}% +\newcommand{\ballonr}[5][8]{% +\def\tempcontents{% +{\unitlength=1cm% +\begin{picture}% +( 4.00000, 3.50000)( -2.00000, 0.00000)% +\special{pn 8}% +% +\special{pn #1}% +\special{pa 124 -260}\special{pa 123 -261}\special{pa 120 -262}\special{pa 115 -263}% 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+\newcommand{\boxlinese}[5][8]{% +\setcounter{ketpicctrd}{#2}% +\setcounter{ketpicctre}{#5}% +\addtocounter{ketpicctre}{#3}% +\boxline[#1]{\theketpicctrd}{\theketpicctre}{#4}{#5}% +% +}% +\newcommand{\boxlinesw}[5][8]{% +\setcounter{ketpicctrd}{-#4}% +\addtocounter{ketpicctrd}{#2}% +\setcounter{ketpicctre}{#5}% +\addtocounter{ketpicctre}{#3}% +\boxline[#1]{\theketpicctrd}{\theketpicctre}{#4}{#5}% +% +}% +\newcommand{\ketboxframe}[6][8]{% +\def\tmpcontents{% +\setcounter{ketpicctrf}{#4}% +\addtocounter{ketpicctrf}{-4}% +\setlength{\Width}{\theketpicctrf\unitlength}% +\begin{minipage}{\Width}% +#6% +\end{minipage}% +% +}% +\setcounter{ketpicctrg}{#2}% +\addtocounter{ketpicctrg}{2}% +\setcounter{ketpicctrh}{-#3}% +\addtocounter{ketpicctrh}{-2}% +\settowidth{\Width}{\tmpcontents}\setlength{\Width}{0\Width}% +\settoheight{\Height}{\tmpcontents}\settodepth{\Depth}{\tmpcontents}\setlength{\Height}{-\Height}% +\put(\theketpicctrg,\theketpicctrh){\hspace*{\Width}\raisebox{\Height}{\tmpcontents}}% +\boxline[#1]{#2}{#3}{#4}{#5}% +% +}% +\newcommand{\boxframese}[6][8]{% +\ketboxframe[#1]{#2}{#3}{#4}{#5}{#6}% +% +}% +\newcommand{\boxframec}[6][8]{% +\setcounter{ketpicctrd}{-#4}% +\divide\value{ketpicctrd} by 2% +\addtocounter{ketpicctrd}{#2}% +\setcounter{ketpicctre}{-#5}% +\divide\value{ketpicctre} by 2% +\addtocounter{ketpicctre}{#3}% +\ketboxframe[#1]{\theketpicctrd}{\theketpicctre}{#4}{#5}{#6}% +% +}% +\newcommand{\boxframee}[6][8]{% +\setcounter{ketpicctrd}{#2}% +\setcounter{ketpicctre}{-#5}% +\divide\value{ketpicctre} by 2% +\addtocounter{ketpicctre}{#3}% +\ketboxframe[#1]{\theketpicctrd}{\theketpicctre}{#4}{#5}{#6}% +% +}% +\newcommand{\boxframew}[6][8]{% +\setcounter{ketpicctrd}{-#4}% +\addtocounter{ketpicctrd}{#2}% +\setcounter{ketpicctre}{-#5}% +\divide\value{ketpicctre} by 2% +\addtocounter{ketpicctre}{#3}% +\ketboxframe[#1]{\theketpicctrd}{\theketpicctre}{#4}{#5}{#6}% +% +}% +\newcommand{\boxframen}[6][8]{% +\setcounter{ketpicctrd}{-#4}% +\divide\value{ketpicctrd} by 2% +\addtocounter{ketpicctrd}{#2}% +\setcounter{ketpicctre}{#3}% +\addtocounter{ketpicctre}{-#5}% +\ketboxframe[#1]{\theketpicctrd}{\theketpicctre}{#4}{#5}{#6}% +% +}% +\newcommand{\boxframes}[6][8]{% +\setcounter{ketpicctrd}{-#4}% +\divide\value{ketpicctrd} by 2% +\addtocounter{ketpicctrd}{#2}% +\setcounter{ketpicctre}{#3}% +\ketboxframe[#1]{\theketpicctrd}{\theketpicctre}{#4}{#5}{#6}% +% +}% +\newcommand{\boxframenw}[6][8]{% +\setcounter{ketpicctrd}{-#4}% +\addtocounter{ketpicctrd}{#2}% +\setcounter{ketpicctre}{#3}% +\addtocounter{ketpicctre}{-#5}% +\ketboxframe[#1]{\theketpicctrd}{\theketpicctre}{#4}{#5}{#6}% +% +}% +\newcommand{\boxframene}[6][8]{% +\setcounter{ketpicctrd}{#2}% +\setcounter{ketpicctre}{#3}% +\addtocounter{ketpicctre}{-#5}% +\ketboxframe[#1]{\theketpicctrd}{\theketpicctre}{#4}{#5}{#6}% +% +}% +\newcommand{\boxframesw}[6][8]{% +\setcounter{ketpicctrd}{-#4}% +\addtocounter{ketpicctrd}{#2}% +\setcounter{ketpicctre}{#3}% +\ketboxframe[#1]{\theketpicctrd}{\theketpicctre}{#4}{#5}{#6}% +% +}% +\newcommand{\circleline}[4][8]{% +\settowidth{\Width}{\circlemark[#1]{#4}}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{\circlemark[#1]{#4}}\settodepth{\Depth}{\circlemark[#1]{#4}}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(#2,-#3){\hspace*{\Width}\raisebox{\Height}{\circlemark[#1]{#4}}}% +% +}% +\newcommand{\hjaggyline}[4][8]{% +\def\tmpcontents{% +{\unitlength=1mm% +\begin{picture}% +( 1.00000, 1.00000)( 0.00000, 0.00000)% +\special{pn 8}% +% +\special{pn #1}% +\special{pa 0 0}\special{pa 39 -39}% +\special{fp}% +\end{picture}}%% +}% +\def\tmpcontentsb{% +{\unitlength=1mm% +\begin{picture}% +( 1.00000, 1.00000)( 0.00000, 0.00000)% +\special{pn 8}% +% +\special{pn #1}% +\special{pa 0 -39}\special{pa 39 0}% +\special{fp}% +\end{picture}}%% +}% +\setcounter{ketpicctra}{0}% +\setcounter{ketpicctra}{1}% +\addtocounter{ketpicctra}{-1}% +% +{% +\loop% +\addtocounter{ketpicctra}{1}% +\setcounter{ketpicctrb}{#2}% +\addtocounter{ketpicctrb}{\value{ketpicctra}}% +\addtocounter{ketpicctrb}{-1}% +\setcounter{ketpicctrc}{\value{ketpicctra}}% +\divide\value{ketpicctrc} by 2% +\multiply\value{ketpicctrc} by 2% +% +{% +\ifnum % +\theketpicctrc<\theketpicctra % +\settowidth{\Width}{\tmpcontents}\setlength{\Width}{0\Width}% +\settoheight{\Height}{\tmpcontents}\settodepth{\Depth}{\tmpcontents}\setlength{\Height}{\Depth}% +\put(\theketpicctrb,-#3){\hspace*{\Width}\raisebox{\Height}{\tmpcontents}}% +% +\else% +\settowidth{\Width}{\tmpcontentsb}\setlength{\Width}{0\Width}% +\settoheight{\Height}{\tmpcontentsb}\settodepth{\Depth}{\tmpcontentsb}\setlength{\Height}{\Depth}% +\put(\theketpicctrb,-#3){\hspace*{\Width}\raisebox{\Height}{\tmpcontentsb}}% +% +\fi% +}% +% +\ifnum\theketpicctra<#4% +\repeat% +}% +% +}% +\newcommand{\vjaggyline}[4][8]{% +\def\tmpcontents{% +{\unitlength=1mm% +\begin{picture}% +( 1.00000, 1.00000)( 0.00000, -1.00000)% +\special{pn 8}% +% +\special{pn #1}% +\special{pa 0 0}\special{pa 39 39}% +\special{fp}% +\end{picture}}%% +}% +\def\tmpcontentsb{% +{\unitlength=1mm% +\begin{picture}% +( 1.00000, 1.00000)( 0.00000, -1.00000)% +\special{pn 8}% +% +\special{pn #1}% +\special{pa 39 0}\special{pa 0 39}% +\special{fp}% +\end{picture}}%% +}% +\setcounter{ketpicctra}{0}% +\setcounter{ketpicctra}{1}% +\addtocounter{ketpicctra}{-1}% +% +{% +\loop% +\addtocounter{ketpicctra}{1}% +\setcounter{ketpicctrb}{-#3}% +\addtocounter{ketpicctrb}{-\value{ketpicctra}}% +\addtocounter{ketpicctrb}{1}% +\setcounter{ketpicctrc}{\value{ketpicctra}}% +\divide\value{ketpicctrc} by 2% +\multiply\value{ketpicctrc} by 2% +% +{% +\ifnum % +\theketpicctrc<\theketpicctra % +\settowidth{\Width}{\tmpcontents}\setlength{\Width}{0\Width}% +\settoheight{\Height}{\tmpcontents}\settodepth{\Depth}{\tmpcontents}\setlength{\Height}{-\Height}% +\put(#2,\theketpicctrb){\hspace*{\Width}\raisebox{\Height}{\tmpcontents}}% +% +\else% +\settowidth{\Width}{\tmpcontentsb}\setlength{\Width}{0\Width}% +\settoheight{\Height}{\tmpcontentsb}\settodepth{\Depth}{\tmpcontentsb}\setlength{\Height}{-\Height}% +\put(#2,\theketpicctrb){\hspace*{\Width}\raisebox{\Height}{\tmpcontentsb}}% +% +\fi% +}% +% +\ifnum\theketpicctra<#4% +\repeat% +}% +% +}% +\newcommand{\hjaggylineb}[4][8]{% +\def\tmpcontents{% +{\unitlength=1mm% +\begin{picture}% +( 1.00000, 1.00000)( 0.00000, 0.00000)% +\special{pn 8}% +% +\special{pn #1}% +\special{pa 0 0}\special{pa 39 -39}% +\special{fp}% +\end{picture}}%% +}% +\def\tmpcontentsb{% +{\unitlength=1mm% +\begin{picture}% +( 1.00000, 1.00000)( 0.00000, 0.00000)% +\special{pn 8}% +% +\special{pn #1}% +\special{pa 0 -39}\special{pa 39 0}% +\special{fp}% +\end{picture}}%% +}% +\setcounter{ketpicctra}{0}% +\setcounter{ketpicctra}{1}% +\addtocounter{ketpicctra}{-1}% +% +{% +\loop% +\addtocounter{ketpicctra}{1}% +\setcounter{ketpicctrb}{#2}% +\addtocounter{ketpicctrb}{\value{ketpicctra}}% +\addtocounter{ketpicctrb}{-1}% +\setcounter{ketpicctrc}{\value{ketpicctra}}% +\divide\value{ketpicctrc} by 2% +\multiply\value{ketpicctrc} by 2% +% +{% +\ifnum % +\theketpicctrc<\theketpicctra % +\settowidth{\Width}{\tmpcontentsb}\setlength{\Width}{0\Width}% +\settoheight{\Height}{\tmpcontentsb}\settodepth{\Depth}{\tmpcontentsb}\setlength{\Height}{-\Height}% +\put(\theketpicctrb,-#3){\hspace*{\Width}\raisebox{\Height}{\tmpcontentsb}}% +% +\else% +\settowidth{\Width}{\tmpcontents}\setlength{\Width}{0\Width}% +\settoheight{\Height}{\tmpcontents}\settodepth{\Depth}{\tmpcontents}\setlength{\Height}{-\Height}% +\put(\theketpicctrb,-#3){\hspace*{\Width}\raisebox{\Height}{\tmpcontents}}% +% +\fi% +}% +% +\ifnum\theketpicctra<#4% +\repeat% +}% +% +}% +\newcommand{\vjaggylineb}[4][8]{% +\def\tmpcontents{% +{\unitlength=1mm% +\begin{picture}% +( 1.00000, 1.00000)( 0.00000, -1.00000)% +\special{pn 8}% +% +\special{pn #1}% +\special{pa 0 0}\special{pa 39 39}% +\special{fp}% +\end{picture}}%% +}% +\def\tmpcontentsb{% +{\unitlength=1mm% +\begin{picture}% +( 1.00000, 1.00000)( 0.00000, -1.00000)% +\special{pn 8}% +% +\special{pn #1}% +\special{pa 39 0}\special{pa 0 39}% +\special{fp}% +\end{picture}}%% +}% +\setcounter{ketpicctra}{0}% +\setcounter{ketpicctra}{1}% +\addtocounter{ketpicctra}{-1}% +% +{% +\loop% +\addtocounter{ketpicctra}{1}% +\setcounter{ketpicctrb}{-#3}% +\addtocounter{ketpicctrb}{-\value{ketpicctra}}% +\addtocounter{ketpicctrb}{1}% +\setcounter{ketpicctrc}{\value{ketpicctra}}% +\divide\value{ketpicctrc} by 2% +\multiply\value{ketpicctrc} by 2% +% +{% +\ifnum % +\theketpicctrc<\theketpicctra % +\settowidth{\Width}{\tmpcontentsb}\setlength{\Width}{-1\Width}% +\settoheight{\Height}{\tmpcontentsb}\settodepth{\Depth}{\tmpcontentsb}\setlength{\Height}{-\Height}% +\put(#2,\theketpicctrb){\hspace*{\Width}\raisebox{\Height}{\tmpcontentsb}}% +% +\else% +\settowidth{\Width}{\tmpcontents}\setlength{\Width}{-1\Width}% +\settoheight{\Height}{\tmpcontents}\settodepth{\Depth}{\tmpcontents}\setlength{\Height}{-\Height}% +\put(#2,\theketpicctrb){\hspace*{\Width}\raisebox{\Height}{\tmpcontents}}% +% +\fi% +}% +% +\ifnum\theketpicctra<#4% +\repeat% +}% +% +}% +\newcommand{\jaggyboxframe}[6][8]{% +\def\tmpcontents{% +\setcounter{ketpicctrf}{#4}% +\addtocounter{ketpicctrf}{-4}% +\setlength{\Width}{\theketpicctrf\unitlength}% +\begin{minipage}{\Width}% +#6% +\end{minipage}% +% +}% +\setcounter{ketpicctrg}{#2}% +\addtocounter{ketpicctrg}{2}% +\setcounter{ketpicctrh}{-#3}% +\addtocounter{ketpicctrh}{-2}% +\settowidth{\Width}{\tmpcontents}\setlength{\Width}{0\Width}% +\settoheight{\Height}{\tmpcontents}\settodepth{\Depth}{\tmpcontents}\setlength{\Height}{-\Height}% +\put(\theketpicctrg,\theketpicctrh){\hspace*{\Width}\raisebox{\Height}{\tmpcontents}}% +\setcounter{ketpicctrg}{#2}% +\setcounter{ketpicctrh}{#3}% +\hjaggylineb[#1]{\theketpicctrg}{\theketpicctrh}{#4}% +\vjaggylineb[#1]{\theketpicctrg}{\theketpicctrh}{#5}% +\setcounter{ketpicctrg}{#2}% +\setcounter{ketpicctrh}{#3}% +\addtocounter{ketpicctrh}{#5}% +\hjaggyline[#1]{\theketpicctrg}{\theketpicctrh}{#4}% +\setcounter{ketpicctrg}{#2}% +\addtocounter{ketpicctrg}{#4}% +\setcounter{ketpicctrh}{#3}% +\vjaggyline[#1]{\theketpicctrg}{\theketpicctrh}{#5}% +% +}% +\newcommand{\jaggyboxframese}[6][8]{% +\jaggyboxframe[#1]{#2}{#3}{#4}{#5}{#6}% +% +}% +\newcommand{\jaggyboxframec}[6][8]{% +\setcounter{ketpicctrd}{-#4}% +\divide\value{ketpicctrd} by 2% +\addtocounter{ketpicctrd}{#2}% +\setcounter{ketpicctre}{-#5}% +\divide\value{ketpicctre} by 2% +\addtocounter{ketpicctre}{#3}% +\jaggyboxframe[#1]{\theketpicctrd}{\theketpicctre}{#4}{#5}{#6}% +% +}% +\newcommand{\jaggyboxframee}[6][8]{% +\setcounter{ketpicctrd}{#2}% +\setcounter{ketpicctre}{-#5}% +\divide\value{ketpicctre} by 2% +\addtocounter{ketpicctre}{#3}% +\jaggyboxframe[#1]{\theketpicctrd}{\theketpicctre}{#4}{#5}{#6}% +% +}% +\newcommand{\jaggyboxframew}[6][8]{% +\setcounter{ketpicctrd}{-#4}% +\addtocounter{ketpicctrd}{#2}% +\setcounter{ketpicctre}{-#5}% +\divide\value{ketpicctre} by 2% +\addtocounter{ketpicctre}{#3}% +\jaggyboxframe[#1]{\theketpicctrd}{\theketpicctre}{#4}{#5}{#6}% +% +}% +\newcommand{\jaggyboxframen}[6][8]{% +\setcounter{ketpicctrd}{-#4}% +\divide\value{ketpicctrd} by 2% +\addtocounter{ketpicctrd}{#2}% +\setcounter{ketpicctre}{#3}% +\addtocounter{ketpicctre}{-#5}% +\jaggyboxframe[#1]{\theketpicctrd}{\theketpicctre}{#4}{#5}{#6}% +% +}% +\newcommand{\jaggyboxframes}[6][8]{% +\setcounter{ketpicctrd}{-#4}% +\divide\value{ketpicctrd} by 2% +\addtocounter{ketpicctrd}{#2}% +\setcounter{ketpicctre}{#3}% +\jaggyboxframe[#1]{\theketpicctrd}{\theketpicctre}{#4}{#5}{#6}% +% +}% +\newcommand{\jaggyboxframenw}[6][8]{% +\setcounter{ketpicctrd}{-#4}% +\addtocounter{ketpicctrd}{#2}% +\setcounter{ketpicctre}{#3}% +\addtocounter{ketpicctre}{-#5}% +\jaggyboxframe[#1]{\theketpicctrd}{\theketpicctre}{#4}{#5}{#6}% +% +}% +\newcommand{\jaggyboxframene}[6][8]{% +\setcounter{ketpicctrd}{#2}% +\setcounter{ketpicctre}{#3}% +\addtocounter{ketpicctre}{-#5}% +\jaggyboxframe[#1]{\theketpicctrd}{\theketpicctre}{#4}{#5}{#6}% +% +}% +\newcommand{\jaggyboxframesw}[6][8]{% +\setcounter{ketpicctrd}{-#4}% +\addtocounter{ketpicctrd}{#2}% +\setcounter{ketpicctre}{#3}% +\jaggyboxframe[#1]{\theketpicctrd}{\theketpicctre}{#4}{#5}{#6}% +% +}% +\newcommand{\hdialine}[4][8]{% +\def\tmpcontents{% +{\unitlength=1mm% +\begin{picture}% +( 1.00000, 1.00000)( 0.00000, -0.50000)% +\special{pn 8}% +% +\special{pn #1}% +\special{pa 39 -20}\special{pa 0 0}\special{pa 39 20}% +\special{fp}% +\end{picture}}%% +}% +\def\tmpcontentsb{% +{\unitlength=1mm% +\begin{picture}% +( 1.00000, 1.00000)( 0.00000, -0.50000)% +\special{pn 8}% +% +\special{pn #1}% +\special{pa 0 -20}\special{pa 39 0}\special{pa 0 20}% +\special{fp}% +\end{picture}}%% +}% +\setcounter{ketpicctra}{0}% +\setcounter{ketpicctra}{1}% +\addtocounter{ketpicctra}{-1}% +% +{% +\loop% +\addtocounter{ketpicctra}{1}% +\setcounter{ketpicctrb}{#2}% +\addtocounter{ketpicctrb}{\value{ketpicctra}}% +\addtocounter{ketpicctrb}{-1}% +\setcounter{ketpicctrc}{\value{ketpicctra}}% +\divide\value{ketpicctrc} by 2% +\multiply\value{ketpicctrc} by 2% +% +{% +\ifnum % +\theketpicctrc<\theketpicctra % +\settowidth{\Width}{\tmpcontents}\setlength{\Width}{0\Width}% +\settoheight{\Height}{\tmpcontents}\settodepth{\Depth}{\tmpcontents}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(\theketpicctrb,-#3){\hspace*{\Width}\raisebox{\Height}{\tmpcontents}}% +% +\else% +\settowidth{\Width}{\tmpcontentsb}\setlength{\Width}{0\Width}% +\settoheight{\Height}{\tmpcontentsb}\settodepth{\Depth}{\tmpcontentsb}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(\theketpicctrb,-#3){\hspace*{\Width}\raisebox{\Height}{\tmpcontentsb}}% +% +\fi% +}% +% +\ifnum\theketpicctra<#4% +\repeat% +}% +% +}% +\newcommand{\vdialine}[4][8]{% +\def\tmpcontents{% +{\unitlength=1mm% +\begin{picture}% +( 1.00000, 1.00000)( -0.50000, 0.00000)% +\special{pn 8}% +% +\special{pn #1}% +\special{pa -20 0}\special{pa 0 -39}\special{pa 20 0}% +\special{fp}% +\end{picture}}%% +}% +\def\tmpcontentsb{% +{\unitlength=1mm% +\begin{picture}% +( 1.00000, 1.00000)( -0.50000, 0.00000)% +\special{pn 8}% +% +\special{pn #1}% +\special{pa -20 -39}\special{pa 0 0}\special{pa 20 -39}% +\special{fp}% +\end{picture}}%% +}% +\setcounter{ketpicctra}{0}% +\setcounter{ketpicctra}{1}% +\addtocounter{ketpicctra}{-1}% +% +{% +\loop% +\addtocounter{ketpicctra}{1}% +\setcounter{ketpicctrb}{-#3}% +\addtocounter{ketpicctrb}{-\value{ketpicctra}}% +\addtocounter{ketpicctrb}{1}% +\setcounter{ketpicctrc}{\value{ketpicctra}}% +\divide\value{ketpicctrc} by 2% +\multiply\value{ketpicctrc} by 2% +% +{% +\ifnum % +\theketpicctrc<\theketpicctra % +\settowidth{\Width}{\tmpcontents}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{\tmpcontents}\settodepth{\Depth}{\tmpcontents}\setlength{\Height}{-\Height}% +\put(#2,\theketpicctrb){\hspace*{\Width}\raisebox{\Height}{\tmpcontents}}% +% +\else% +\settowidth{\Width}{\tmpcontentsb}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{\tmpcontentsb}\settodepth{\Depth}{\tmpcontentsb}\setlength{\Height}{-\Height}% +\put(#2,\theketpicctrb){\hspace*{\Width}\raisebox{\Height}{\tmpcontentsb}}% +% +\fi% +}% +% +\ifnum\theketpicctra<#4% +\repeat% +}% +% +}% +\newcommand{\diaboxframe}[6][4]{% +\def\tmpcontents{% +\setcounter{ketpicctrf}{#4}% +\addtocounter{ketpicctrf}{-4}% +\setlength{\Width}{\theketpicctrf\unitlength}% +\begin{minipage}{\Width}% +#6% +\end{minipage}% +% +}% +\setcounter{ketpicctrg}{#2}% +\addtocounter{ketpicctrg}{2}% +\setcounter{ketpicctrh}{-#3}% +\addtocounter{ketpicctrh}{-2}% +\settowidth{\Width}{\tmpcontents}\setlength{\Width}{0\Width}% +\settoheight{\Height}{\tmpcontents}\settodepth{\Depth}{\tmpcontents}\setlength{\Height}{-\Height}% +\put(\theketpicctrg,\theketpicctrh){\hspace*{\Width}\raisebox{\Height}{\tmpcontents}}% +\setcounter{ketpicctrh}{#3}% +\hdialine[#1]{#2}{\theketpicctrh}{#4}% +\setcounter{ketpicctrh}{#3}% +\addtocounter{ketpicctrh}{#5}% +\hdialine[#1]{#2}{\theketpicctrh}{#4}% +\setcounter{ketpicctrg}{#2}% +\vdialine[#1]{\theketpicctrg}{#3}{#5}% +\setcounter{ketpicctrg}{#2}% +\addtocounter{ketpicctrg}{#4}% +\vdialine[#1]{\theketpicctrg}{#3}{#5}% +% +}% +\newcommand{\diaboxframese}[6][8]{% +\diaboxframe[#1]{#2}{#3}{#4}{#5}{#6}% +% +}% +\newcommand{\diaboxframec}[6][8]{% +\setcounter{ketpicctrd}{-#4}% +\divide\value{ketpicctrd} by 2% +\addtocounter{ketpicctrd}{#2}% +\setcounter{ketpicctre}{-#5}% +\divide\value{ketpicctre} by 2% +\addtocounter{ketpicctre}{#3}% +\diaboxframe[#1]{\theketpicctrd}{\theketpicctre}{#4}{#5}{#6}% +% +}% +\newcommand{\diaboxframee}[6][8]{% +\setcounter{ketpicctrd}{#2}% +\setcounter{ketpicctre}{-#5}% +\divide\value{ketpicctre} by 2% +\addtocounter{ketpicctre}{#3}% +\diaboxframe[#1]{\theketpicctrd}{\theketpicctre}{#4}{#5}{#6}% +% +}% +\newcommand{\diaboxframew}[6][8]{% +\setcounter{ketpicctrd}{-#4}% +\addtocounter{ketpicctrd}{#2}% +\setcounter{ketpicctre}{-#5}% +\divide\value{ketpicctre} by 2% +\addtocounter{ketpicctre}{#3}% +\diaboxframe[#1]{\theketpicctrd}{\theketpicctre}{#4}{#5}{#6}% +% +}% +\newcommand{\diaboxframen}[6][8]{% +\setcounter{ketpicctrd}{-#4}% +\divide\value{ketpicctrd} by 2% +\addtocounter{ketpicctrd}{#2}% +\setcounter{ketpicctre}{-#5}% +\addtocounter{ketpicctre}{#3}% +\diaboxframe[#1]{\theketpicctrd}{\theketpicctre}{#4}{#5}{#6}% +% +}% +\newcommand{\diaboxframes}[6][8]{% +\setcounter{ketpicctrd}{-#4}% +\divide\value{ketpicctrd} by 2% +\addtocounter{ketpicctrd}{#2}% +\setcounter{ketpicctre}{#3}% +\diaboxframe[#1]{\theketpicctrd}{\theketpicctre}{#4}{#5}{#6}% +% +}% +\newcommand{\diaboxframenw}[6][8]{% +\setcounter{ketpicctrd}{-#4}% +\addtocounter{ketpicctrd}{#2}% +\setcounter{ketpicctre}{-#5}% +\addtocounter{ketpicctre}{#3}% +\diaboxframe[#1]{\theketpicctrd}{\theketpicctre}{#4}{#5}{#6}% +% +}% +\newcommand{\diaboxframene}[6][8]{% +\setcounter{ketpicctrd}{#2}% +\setcounter{ketpicctre}{-#5}% +\addtocounter{ketpicctre}{#3}% +\diaboxframe[#1]{\theketpicctrd}{\theketpicctre}{#4}{#5}{#6}% +% +}% +\newcommand{\diaboxframesw}[6][8]{% +\setcounter{ketpicctrd}{-#4}% +\addtocounter{ketpicctrd}{#2}% +\setcounter{ketpicctre}{#3}% +\diaboxframe[#1]{\theketpicctrd}{\theketpicctre}{#4}{#5}{#6}% +% +}% +\newcommand{\hdashline}[4][8]{% +\def\tmpcontents{% +{\unitlength=1mm% +\begin{picture}% +( 1.00000, 0.02000)( 0.00000, -0.01000)% +\special{pn 8}% +% +\special{pn #1}% +\special{pa 0 0}\special{pa 20 0}% +\special{fp}% +\end{picture}}%% +}% +\setcounter{ketpicctra}{0}% +\setcounter{ketpicctra}{1}% +\addtocounter{ketpicctra}{-1}% +% +{% +\loop% +\addtocounter{ketpicctra}{1}% +\setcounter{ketpicctrb}{#2}% +\addtocounter{ketpicctrb}{\value{ketpicctra}}% +\addtocounter{ketpicctrb}{-1}% +\settowidth{\Width}{\tmpcontents}\setlength{\Width}{0\Width}% +\settoheight{\Height}{\tmpcontents}\settodepth{\Depth}{\tmpcontents}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(\theketpicctrb,-#3){\hspace*{\Width}\raisebox{\Height}{\tmpcontents}}% +% +\ifnum\theketpicctra<#4% +\repeat% +}% +% +}% +\newcommand{\hdashlineb}[4][8]{% +\def\tmpcontents{% +{\unitlength=1mm% +\begin{picture}% +( 1.00000, 0.02000)( 0.00000, -0.01000)% +\special{pn 8}% +% +\special{pn #1}% +\special{pa 20 0}\special{pa 39 0}% +\special{fp}% +\end{picture}}%% +}% +\setcounter{ketpicctra}{0}% +\setcounter{ketpicctra}{1}% +\addtocounter{ketpicctra}{-1}% +% +{% +\loop% +\addtocounter{ketpicctra}{1}% +\setcounter{ketpicctrb}{#2}% +\addtocounter{ketpicctrb}{\value{ketpicctra}}% +\addtocounter{ketpicctrb}{-1}% +\settowidth{\Width}{\tmpcontents}\setlength{\Width}{0\Width}% +\settoheight{\Height}{\tmpcontents}\settodepth{\Depth}{\tmpcontents}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(\theketpicctrb,-#3){\hspace*{\Width}\raisebox{\Height}{\tmpcontents}}% +% +\ifnum\theketpicctra<#4% +\repeat% +}% +% +}% +\newcommand{\vdashline}[4][8]{% +\def\tmpcontents{% +{\unitlength=1mm% +\begin{picture}% +( 0.02000, 1.00000)( -0.01000, 0.00000)% +\special{pn 8}% +% +\special{pn #1}% +\special{pa 0 0}\special{pa 0 -20}% +\special{fp}% +\end{picture}}%% +}% +\setcounter{ketpicctra}{0}% +\setcounter{ketpicctra}{1}% +\addtocounter{ketpicctra}{-1}% +% +{% +\loop% +\addtocounter{ketpicctra}{1}% +\setcounter{ketpicctrb}{-#3}% +\addtocounter{ketpicctrb}{-\value{ketpicctra}}% +\addtocounter{ketpicctrb}{1}% +\settowidth{\Width}{\tmpcontents}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{\tmpcontents}\settodepth{\Depth}{\tmpcontents}\setlength{\Height}{-\Height}% +\put(#2,\theketpicctrb){\hspace*{\Width}\raisebox{\Height}{\tmpcontents}}% +% +\ifnum\theketpicctra<#4% +\repeat% +}% +% +}% +\newcommand{\vdashlineb}[4][8]{% +\def\tmpcontents{% +{\unitlength=1mm% +\begin{picture}% +( 0.02000, 1.00000)( -0.01000, 0.00000)% +\special{pn 8}% +% +\special{pn #1}% +\special{pa 0 -20}\special{pa 0 -39}% +\special{fp}% +\end{picture}}%% +}% +\setcounter{ketpicctra}{0}% +\setcounter{ketpicctra}{1}% +\addtocounter{ketpicctra}{-1}% +% +{% +\loop% +\addtocounter{ketpicctra}{1}% +\setcounter{ketpicctrb}{-#3}% +\addtocounter{ketpicctrb}{-\value{ketpicctra}}% +\addtocounter{ketpicctrb}{1}% +\settowidth{\Width}{\tmpcontents}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{\tmpcontents}\settodepth{\Depth}{\tmpcontents}\setlength{\Height}{-\Height}% +\put(#2,\theketpicctrb){\hspace*{\Width}\raisebox{\Height}{\tmpcontents}}% +% +\ifnum\theketpicctra<#4% +\repeat% +}% +% +}% +\newcommand{\dashboxframe}[6][4]{% +\def\tmpcontents{% +\setcounter{ketpicctrf}{#4}% +\addtocounter{ketpicctrf}{-4}% +\setlength{\Width}{\theketpicctrf\unitlength}% +\begin{minipage}{\Width}% +#6% +\end{minipage}% +% +}% +\setcounter{ketpicctrg}{#2}% +\addtocounter{ketpicctrg}{2}% +\setcounter{ketpicctrh}{-#3}% +\addtocounter{ketpicctrh}{-2}% +\settowidth{\Width}{\tmpcontents}\setlength{\Width}{0\Width}% +\settoheight{\Height}{\tmpcontents}\settodepth{\Depth}{\tmpcontents}\setlength{\Height}{-\Height}% +\put(\theketpicctrg,\theketpicctrh){\hspace*{\Width}\raisebox{\Height}{\tmpcontents}}% +\setcounter{ketpicctrh}{#3}% +\hdashline[#1]{#2}{\theketpicctrh}{#4}% +\setcounter{ketpicctrh}{#3}% +\addtocounter{ketpicctrh}{#5}% +\hdashlineb[#1]{#2}{\theketpicctrh}{#4}% +\setcounter{ketpicctrg}{#2}% +\vdashline[#1]{\theketpicctrg}{#3}{#5}% +\setcounter{ketpicctrg}{#2}% +\addtocounter{ketpicctrg}{#4}% +\vdashlineb[#1]{\theketpicctrg}{#3}{#5}% +% +}% +\newcommand{\dashboxframese}[6][8]{% +\dashboxframe[#1]{#2}{#3}{#4}{#5}{#6}% +% +}% +\newcommand{\dashboxframec}[6][8]{% +\setcounter{ketpicctrd}{-#4}% +\divide\value{ketpicctrd} by 2% +\addtocounter{ketpicctrd}{#2}% +\setcounter{ketpicctre}{-#5}% +\divide\value{ketpicctre} by 2% +\addtocounter{ketpicctre}{#3}% +\dashboxframe[#1]{\theketpicctrd}{\theketpicctre}{#4}{#5}{#6}% +% +}% +\newcommand{\dashboxframee}[6][8]{% +\setcounter{ketpicctrd}{#2}% +\setcounter{ketpicctre}{-#5}% +\divide\value{ketpicctre} by 2% +\addtocounter{ketpicctre}{#3}% +\dashboxframe[#1]{\theketpicctrd}{\theketpicctre}{#4}{#5}{#6}% +% +}% +\newcommand{\dashboxframew}[6][8]{% +\setcounter{ketpicctrd}{-#4}% +\addtocounter{ketpicctrd}{#2}% +\setcounter{ketpicctre}{-#5}% +\divide\value{ketpicctre} by 2% +\addtocounter{ketpicctre}{#3}% +\dashboxframe[#1]{\theketpicctrd}{\theketpicctre}{#4}{#5}{#6}% +% +}% +\newcommand{\dashboxframen}[6][8]{% +\setcounter{ketpicctrd}{-#4}% +\divide\value{ketpicctrd} by 2% +\addtocounter{ketpicctrd}{#2}% +\setcounter{ketpicctre}{#3}% +\addtocounter{ketpicctre}{-#5}% +\dashboxframe[#1]{\theketpicctrd}{\theketpicctre}{#4}{#5}{#6}% +% +}% +\newcommand{\dashboxframes}[6][8]{% +\setcounter{ketpicctrd}{-#4}% +\divide\value{ketpicctrd} by 2% +\addtocounter{ketpicctrd}{#2}% +\setcounter{ketpicctre}{#3}% +\dashboxframe[#1]{\theketpicctrd}{\theketpicctre}{#4}{#5}{#6}% +% +}% +\newcommand{\dashboxframenw}[6][8]{% +\setcounter{ketpicctrd}{-#4}% +\addtocounter{ketpicctrd}{#2}% +\setcounter{ketpicctre}{#3}% +\addtocounter{ketpicctre}{-#5}% +\dashboxframe[#1]{\theketpicctrd}{\theketpicctre}{#4}{#5}{#6}% +% +}% +\newcommand{\dashboxframene}[6][8]{% +\setcounter{ketpicctrd}{#2}% +\setcounter{ketpicctre}{#3}% +\addtocounter{ketpicctre}{-#5}% +\dashboxframe[#1]{\theketpicctrd}{\theketpicctre}{#4}{#5}{#6}% +% +}% +\newcommand{\dashboxframesw}[6][8]{% +\setcounter{ketpicctrd}{-#4}% +\addtocounter{ketpicctrd}{#2}% +\setcounter{ketpicctre}{#3}% +\dashboxframe[#1]{\theketpicctrd}{\theketpicctre}{#4}{#5}{#6}% +% +}% +\newcommand{\boxlinep}[6][8]{% +\def\tmpcontents{% +{\unitlength=1mm% +\begin{picture}% +( 1.00000, 0.02000)( 0.00000, -0.01000)% +\special{pn 8}% +% +\special{pn #1}% +\special{pa 0 0}\special{pa 39 0}% +\special{fp}% +\end{picture}}%% +}% +\def\tmpcontentsb{% +{\unitlength=0.1mm% +\begin{picture}% +( 1.00000, 0.02000)( 0.00000, -0.01000)% +\special{pn 8}% +% +\special{pn #1}% +\special{pa 0 0}\special{pa 4 0}% +\special{fp}% +\end{picture}}%% +}% +{\unitlength=0.1mm% +\setcounter{ketpicctrc}{-#3}% +\addtocounter{ketpicctrc}{-#5}% +\setcounter{ketpicctra}{0}% +\setcounter{ketpicctra}{1}% +\addtocounter{ketpicctra}{-1}% +% +{% +\loop% +\addtocounter{ketpicctra}{1}% +\setcounter{ketpicctrb}{\value{ketpicctra}}% +\addtocounter{ketpicctrb}{9}% +% +{% +\ifnum % +\theketpicctrb>#4 % +\setcounter{ketpicctrb}{#2}% +\addtocounter{ketpicctrb}{\value{ketpicctra}}% +\settowidth{\Width}{{\color{#6}\tmpcontentsb}}\setlength{\Width}{-1\Width}% +\settoheight{\Height}{{\color{#6}\tmpcontentsb}}\settodepth{\Depth}{{\color{#6}\tmpcontentsb}}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(\theketpicctrb,-#3){\hspace*{\Width}\raisebox{\Height}{{\color{#6}\tmpcontentsb}}}% +\settowidth{\Width}{{\color{#6}\tmpcontentsb}}\setlength{\Width}{-1\Width}% +\settoheight{\Height}{{\color{#6}\tmpcontentsb}}\settodepth{\Depth}{{\color{#6}\tmpcontentsb}}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(\theketpicctrb,\theketpicctrc){\hspace*{\Width}\raisebox{\Height}{{\color{#6}\tmpcontentsb}}}% +% +\else% +\addtocounter{ketpicctra}{9}% +\setcounter{ketpicctrb}{#2}% +\addtocounter{ketpicctrb}{\value{ketpicctra}}% +\settowidth{\Width}{{\color{#6}\tmpcontents}}\setlength{\Width}{-1\Width}% +\settoheight{\Height}{{\color{#6}\tmpcontents}}\settodepth{\Depth}{{\color{#6}\tmpcontents}}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(\theketpicctrb,-#3){\hspace*{\Width}\raisebox{\Height}{{\color{#6}\tmpcontents}}}% +\settowidth{\Width}{{\color{#6}\tmpcontents}}\setlength{\Width}{-1\Width}% +\settoheight{\Height}{{\color{#6}\tmpcontents}}\settodepth{\Depth}{{\color{#6}\tmpcontents}}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(\theketpicctrb,\theketpicctrc){\hspace*{\Width}\raisebox{\Height}{{\color{#6}\tmpcontents}}}% +% +\fi% +}% +% +\ifnum\theketpicctra<#4% +\repeat% +}% +}% +\def\tmpcontents{% +{\unitlength=1mm% +\begin{picture}% +( 0.02000, 1.00000)( -0.01000, 0.00000)% +\special{pn 8}% +% +\special{pn #1}% +\special{pa 0 0}\special{pa 0 -39}% +\special{fp}% +\end{picture}}%% +}% +\def\tmpcontentsb{% +{\unitlength=0.1mm% +\begin{picture}% +( 0.02000, 1.00000)( -0.01000, 0.00000)% +\special{pn 8}% +% +\special{pn #1}% +\special{pa 0 0}\special{pa 0 -4}% +\special{fp}% +\end{picture}}%% +}% +{\unitlength=0.1mm% +\setcounter{ketpicctrc}{#2}% +\addtocounter{ketpicctrc}{#4}% +\setcounter{ketpicctra}{0}% +\setcounter{ketpicctra}{1}% +\addtocounter{ketpicctra}{-1}% +% +{% +\loop% +\addtocounter{ketpicctra}{1}% +\setcounter{ketpicctrb}{\value{ketpicctra}}% +\addtocounter{ketpicctrb}{9}% +% +{% +\ifnum % +\theketpicctrb>#5 % +\setcounter{ketpicctrb}{-#3}% +\addtocounter{ketpicctrb}{-\value{ketpicctra}}% +\settowidth{\Width}{{\color{#6}\tmpcontentsb}}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{{\color{#6}\tmpcontentsb}}\settodepth{\Depth}{{\color{#6}\tmpcontentsb}}\setlength{\Height}{\Depth}% +\put(#2,\theketpicctrb){\hspace*{\Width}\raisebox{\Height}{{\color{#6}\tmpcontentsb}}}% +\settowidth{\Width}{{\color{#6}\tmpcontentsb}}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{{\color{#6}\tmpcontentsb}}\settodepth{\Depth}{{\color{#6}\tmpcontentsb}}\setlength{\Height}{\Depth}% +\put(\theketpicctrc,\theketpicctrb){\hspace*{\Width}\raisebox{\Height}{{\color{#6}\tmpcontentsb}}}% +% +\else% +\addtocounter{ketpicctra}{9}% +\setcounter{ketpicctrb}{-#3}% +\addtocounter{ketpicctrb}{-\value{ketpicctra}}% +\settowidth{\Width}{{\color{#6}\tmpcontents}}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{{\color{#6}\tmpcontents}}\settodepth{\Depth}{{\color{#6}\tmpcontents}}\setlength{\Height}{\Depth}% +\put(#2,\theketpicctrb){\hspace*{\Width}\raisebox{\Height}{{\color{#6}\tmpcontents}}}% +\settowidth{\Width}{{\color{#6}\tmpcontents}}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{{\color{#6}\tmpcontents}}\settodepth{\Depth}{{\color{#6}\tmpcontents}}\setlength{\Height}{\Depth}% +\put(\theketpicctrc,\theketpicctrb){\hspace*{\Width}\raisebox{\Height}{{\color{#6}\tmpcontents}}}% +% +\fi% +}% +% +\ifnum\theketpicctra<#5% +\repeat% +}% +}% +% +}% +\newcommand{\shadeframep}[6][1]{% +\def\tmpcontents{% +{\unitlength=1mm% +\begin{picture}% +( 100.00000, 100.00000)( 0.00000, 0.00000)% +\special{pn 8}% +% +{\color{#1}% +\special{pa 0 0}\special{pa 3937 0}\special{pa 3937 -3937}\special{pa 0 -3937}\special{pa 0 0}% +\special{sh 1}\special{ip}% +}% +\end{picture}}%% +}% +{\unitlength=0.1mm% +% +{% +\ifnum % +#4<100 % +% +{% +\ifnum % +#5<100 % +\settowidth{\Width}{{\color{#6}\scalebox{0.0#4}[0.0#5]{\tmpcontents}}}\setlength{\Width}{0\Width}% +\settoheight{\Height}{{\color{#6}\scalebox{0.0#4}[0.0#5]{\tmpcontents}}}\settodepth{\Depth}{{\color{#6}\scalebox{0.0#4}[0.0#5]{\tmpcontents}}}\setlength{\Height}{-\Height}% +\put(#2,-#3){\hspace*{\Width}\raisebox{\Height}{{\color{#6}\scalebox{0.0#4}[0.0#5]{\tmpcontents}}}}% +% +\else% +\settowidth{\Width}{{\color{#6}\scalebox{0.0#4}[0.#5]{\tmpcontents}}}\setlength{\Width}{0\Width}% +\settoheight{\Height}{{\color{#6}\scalebox{0.0#4}[0.#5]{\tmpcontents}}}\settodepth{\Depth}{{\color{#6}\scalebox{0.0#4}[0.#5]{\tmpcontents}}}\setlength{\Height}{-\Height}% +\put(#2,-#3){\hspace*{\Width}\raisebox{\Height}{{\color{#6}\scalebox{0.0#4}[0.#5]{\tmpcontents}}}}% +% +\fi% +}% +% +\else% +% +{% +\ifnum % +#4<1000 % +% +{% +\ifnum % +#5<100 % +\settowidth{\Width}{{\color{#6}\scalebox{0.#4}[0.0#5]{\tmpcontents}}}\setlength{\Width}{0\Width}% +\settoheight{\Height}{{\color{#6}\scalebox{0.#4}[0.0#5]{\tmpcontents}}}\settodepth{\Depth}{{\color{#6}\scalebox{0.#4}[0.0#5]{\tmpcontents}}}\setlength{\Height}{-\Height}% +\put(#2,-#3){\hspace*{\Width}\raisebox{\Height}{{\color{#6}\scalebox{0.#4}[0.0#5]{\tmpcontents}}}}% +% +\else% +\settowidth{\Width}{{\color{#6}\scalebox{0.#4}[0.#5]{\tmpcontents}}}\setlength{\Width}{0\Width}% +\settoheight{\Height}{{\color{#6}\scalebox{0.#4}[0.#5]{\tmpcontents}}}\settodepth{\Depth}{{\color{#6}\scalebox{0.#4}[0.#5]{\tmpcontents}}}\setlength{\Height}{-\Height}% +\put(#2,-#3){\hspace*{\Width}\raisebox{\Height}{{\color{#6}\scalebox{0.#4}[0.#5]{\tmpcontents}}}}% +% +\fi% +}% +% +\else% +% +{% +\ifnum % +#5<100 % +\settowidth{\Width}{{\color{#6}\scalebox{1}[0.0#5]{\tmpcontents}}}\setlength{\Width}{0\Width}% +\settoheight{\Height}{{\color{#6}\scalebox{1}[0.0#5]{\tmpcontents}}}\settodepth{\Depth}{{\color{#6}\scalebox{1}[0.0#5]{\tmpcontents}}}\setlength{\Height}{-\Height}% +\put(#2,-#3){\hspace*{\Width}\raisebox{\Height}{{\color{#6}\scalebox{1}[0.0#5]{\tmpcontents}}}}% +\setcounter{ketpicctra}{#2}% +\addtocounter{ketpicctra}{#4}% +\settowidth{\Width}{{\color{#6}\scalebox{1}[0.0#5]{\tmpcontents}}}\setlength{\Width}{-1\Width}% +\settoheight{\Height}{{\color{#6}\scalebox{1}[0.0#5]{\tmpcontents}}}\settodepth{\Depth}{{\color{#6}\scalebox{1}[0.0#5]{\tmpcontents}}}\setlength{\Height}{-\Height}% +\put(\theketpicctra,-#3){\hspace*{\Width}\raisebox{\Height}{{\color{#6}\scalebox{1}[0.0#5]{\tmpcontents}}}}% +% +\else% +\settowidth{\Width}{{\color{#6}\scalebox{1}[0.#5]{\tmpcontents}}}\setlength{\Width}{0\Width}% +\settoheight{\Height}{{\color{#6}\scalebox{1}[0.#5]{\tmpcontents}}}\settodepth{\Depth}{{\color{#6}\scalebox{1}[0.#5]{\tmpcontents}}}\setlength{\Height}{-\Height}% +\put(#2,-#3){\hspace*{\Width}\raisebox{\Height}{{\color{#6}\scalebox{1}[0.#5]{\tmpcontents}}}}% +\setcounter{ketpicctra}{#2}% +\addtocounter{ketpicctra}{#4}% +\settowidth{\Width}{{\color{#6}\scalebox{1}[0.#5]{\tmpcontents}}}\setlength{\Width}{-1\Width}% +\settoheight{\Height}{{\color{#6}\scalebox{1}[0.#5]{\tmpcontents}}}\settodepth{\Depth}{{\color{#6}\scalebox{1}[0.#5]{\tmpcontents}}}\setlength{\Height}{-\Height}% +\put(\theketpicctra,-#3){\hspace*{\Width}\raisebox{\Height}{{\color{#6}\scalebox{1}[0.#5]{\tmpcontents}}}}% +% +\fi% +}% +% +\fi% +}% +% +\fi% +}% +}% +% +}% +\newcommand{\popframe}[9][8]{% +{\unitlength=0.1mm% +\ketcalcwidth{#9}% +\setcounter{ketpicctrh}{\value{ketpicctra}}% +\ketcalcheight{#9}% +\setcounter{ketpicctri}{\value{ketpicctra}}% +\ketcalcdepth{#9}% +\addtocounter{ketpicctri}{\value{ketpicctra}}% +\addtocounter{ketpicctrh}{30}% +\addtocounter{ketpicctri}{30}% +\setcounter{ketpicctrf}{#2}% +\multiply\value{ketpicctrf} by 10% +\addtocounter{ketpicctrf}{15}% +\setcounter{ketpicctrg}{#3}% +\multiply\value{ketpicctrg} by 10% +\addtocounter{ketpicctrg}{15}% +\shadeframep[#5]{\theketpicctrf}{\theketpicctrg}{\theketpicctrh}{\theketpicctri}{#5}% +\setcounter{ketpicctrf}{#2}% +\multiply\value{ketpicctrf} by 10% +\setcounter{ketpicctrg}{#3}% +\multiply\value{ketpicctrg} by 10% +\shadeframep[#7]{\theketpicctrf}{\theketpicctrg}{\theketpicctrh}{\theketpicctri}{#7}% +\boxlinep[#1]{\theketpicctrf}{\theketpicctrg}{\theketpicctrh}{\theketpicctri}{#8}% +\addtocounter{ketpicctrf}{15}% +\setcounter{ketpicctra}{\value{ketpicctri}}% +\divide\value{ketpicctra} by 2% +\addtocounter{ketpicctrg}{\value{ketpicctra}}% +\multiply\value{ketpicctrg} by -1% +\settowidth{\Width}{{#9}}\setlength{\Width}{0\Width}% +\settoheight{\Height}{{#9}}\settodepth{\Depth}{{#9}}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(\theketpicctrf,\theketpicctrg){\hspace*{\Width}\raisebox{\Height}{{#9}}}% +}% +% +}% +\newcommand{\colorframe}[7][8]{% +{\unitlength=0.1mm% +\ketcalcwidth{#7}% +\setcounter{ketpicctrh}{\value{ketpicctra}}% +\ketcalcheight{#7}% +\setcounter{ketpicctri}{\value{ketpicctra}}% +\ketcalcdepth{#7}% +\addtocounter{ketpicctri}{\value{ketpicctra}}% +\addtocounter{ketpicctrh}{30}% +\addtocounter{ketpicctri}{30}% +\setcounter{ketpicctrf}{#2}% +\multiply\value{ketpicctrf} by 10% +\setcounter{ketpicctrg}{#3}% +\multiply\value{ketpicctrg} by 10% +\shadeframep[#4]{\theketpicctrf}{\theketpicctrg}{\theketpicctrh}{\theketpicctri}{#5}% +\boxlinep[#1]{\theketpicctrf}{\theketpicctrg}{\theketpicctrh}{\theketpicctri}{#6}% +\addtocounter{ketpicctrf}{15}% +\setcounter{ketpicctra}{\value{ketpicctri}}% +\divide\value{ketpicctra} by 2% +\addtocounter{ketpicctrg}{\value{ketpicctra}}% +\multiply\value{ketpicctrg} by -1% +\settowidth{\Width}{{#7}}\setlength{\Width}{0\Width}% +\settoheight{\Height}{{#7}}\settodepth{\Depth}{{#7}}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(\theketpicctrf,\theketpicctrg){\hspace*{\Width}\raisebox{\Height}{{#7}}}% +}% +% +}% +\newcommand{\colorframes}[7][8]{% +{\unitlength=0.1mm% +\ketcalcwidth{#7}% +\setcounter{ketpicctrh}{\value{ketpicctra}}% +\ketcalcheight{#7}% +\setcounter{ketpicctri}{\value{ketpicctra}}% +\ketcalcdepth{#7}% +\addtocounter{ketpicctri}{\value{ketpicctra}}% +\addtocounter{ketpicctrh}{30}% +\addtocounter{ketpicctri}{30}% +\setcounter{ketpicctrf}{#2}% +\multiply\value{ketpicctrf} by 10% +\setcounter{ketpicctra}{\value{ketpicctrh}}% +\divide\value{ketpicctra} by 2% +\addtocounter{ketpicctrf}{-\value{ketpicctra}}% +\setcounter{ketpicctrg}{#3}% +\multiply\value{ketpicctrg} by 10% +\shadeframep[#5]{\theketpicctrf}{\theketpicctrg}{\theketpicctrh}{\theketpicctri}{#5}% +\boxlinep[#1]{\theketpicctrf}{\theketpicctrg}{\theketpicctrh}{\theketpicctri}{#6}% +\addtocounter{ketpicctrf}{15}% +\setcounter{ketpicctra}{\value{ketpicctri}}% +\divide\value{ketpicctra} by 2% +\addtocounter{ketpicctrg}{\value{ketpicctra}}% +\multiply\value{ketpicctrg} by -1% +\settowidth{\Width}{{#7}}\setlength{\Width}{0\Width}% +\settoheight{\Height}{{#7}}\settodepth{\Depth}{{#7}}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(\theketpicctrf,\theketpicctrg){\hspace*{\Width}\raisebox{\Height}{{#7}}}% +}% +% +}% diff --git a/Master/texmf-dist/tex/latex/ketcindy/ketlayer2e.sty b/Master/texmf-dist/tex/latex/ketcindy/ketlayer2e.sty new file mode 100644 index 00000000000..62d2ad67a31 --- /dev/null +++ b/Master/texmf-dist/tex/latex/ketcindy/ketlayer2e.sty @@ -0,0 +1,3155 @@ +%Copyright (C) 2014 Setsuo Takato, KETpic developer team +%* +%* This program is free software: you can redistribute it and/or modify +%* it under the terms of the GNU General Public License as published by +%* the Free Software Foundation; either version 3 of the License, or +%* (at your option) any later version. +%* +%* This program is distributed in the hope that it will be useful, +%* but WITHOUT ANY WARRANTY; without even the implied warranty of +%* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the +%* GNU General Public License for more details. +%* +%* You should have received a copy of the GNU General Public License +%* along with this program. If not, see <http://www.gnu.org/licenses/>%%% ketlayer2e.sty 2017-1-11 8:5 +%%% ketlayer2e170109.sce 2017-1-10 13:47 +% 2017.01.09% +\newlength{\layercurrentunit}% +\newcommand{\ketshadebox}[7][0]{% +\def\tmpcontents{% +{\unitlength=1mm% +\begin{picture}% +( 100.00000, 100.00000)( 0.00000, 0.00000)% +\linethickness{0.008in}% +% +{\color{#7} +\polygon*(0.00010,0.00010)(99.99990,0.00010)(99.99990,99.99990)(0.00010,99.99990)% +(0.00010,0.00010) +}% +\end{picture}}%% +}% +% +{% +\ifnum % +#4<10 % +% +{% +\ifnum % +#5<10 % +\settowidth{\Width}{{\color{#7}\scalebox{0.0#4}[0.0#5]{\tmpcontents}}}\setlength{\Width}{0\Width}% +\settoheight{\Height}{{\color{#7}\scalebox{0.0#4}[0.0#5]{\tmpcontents}}}\settodepth{\Depth}{{\color{#7}\scalebox{0.0#4}[0.0#5]{\tmpcontents}}}\setlength{\Height}{-\Height}% +\put(#2,-#3){\hspace*{\Width}\raisebox{\Height}{{\color{#7}\scalebox{0.0#4}[0.0#5]{\tmpcontents}}}}% +% +\else% +\settowidth{\Width}{{\color{#7}\scalebox{0.0#4}[0.#5]{\tmpcontents}}}\setlength{\Width}{0\Width}% +\settoheight{\Height}{{\color{#7}\scalebox{0.0#4}[0.#5]{\tmpcontents}}}\settodepth{\Depth}{{\color{#7}\scalebox{0.0#4}[0.#5]{\tmpcontents}}}\setlength{\Height}{-\Height}% +\put(#2,-#3){\hspace*{\Width}\raisebox{\Height}{{\color{#7}\scalebox{0.0#4}[0.#5]{\tmpcontents}}}}% +% +\fi% +}% +% +\else% +% +{% +\ifnum % +#5<10 % +\settowidth{\Width}{{\color{#7}\scalebox{0.#4}[0.0#5]{\tmpcontents}}}\setlength{\Width}{0\Width}% +\settoheight{\Height}{{\color{#7}\scalebox{0.#4}[0.0#5]{\tmpcontents}}}\settodepth{\Depth}{{\color{#7}\scalebox{0.#4}[0.0#5]{\tmpcontents}}}\setlength{\Height}{-\Height}% +\put(#2,-#3){\hspace*{\Width}\raisebox{\Height}{{\color{#7}\scalebox{0.#4}[0.0#5]{\tmpcontents}}}}% +% +\else% +\settowidth{\Width}{{\color{#7}\scalebox{0.#4}[0.#5]{\tmpcontents}}}\setlength{\Width}{0\Width}% +\settoheight{\Height}{{\color{#7}\scalebox{0.#4}[0.#5]{\tmpcontents}}}\settodepth{\Depth}{{\color{#7}\scalebox{0.#4}[0.#5]{\tmpcontents}}}\setlength{\Height}{-\Height}% +\put(#2,-#3){\hspace*{\Width}\raisebox{\Height}{{\color{#7}\scalebox{0.#4}[0.#5]{\tmpcontents}}}}% +% +\fi% +}% +% +\fi% +}% +% +{% +\ifnum % +#1>0 % +\boxframese{#2}{#3}{#4}{#5}{}% +% +\fi% +}% +% +}% +\newcommand{\shadeboxse}[7][0]{% +\ketshadebox[#1]{#2}{#3}{#4}{#5}{#6}{#7}% +% +}% +\newcommand{\shadeboxc}[7][0]{% +\setcounter{ketpicctrd}{-#4}% +\divide\value{ketpicctrd} by 2% +\addtocounter{ketpicctrd}{#2}% +\setcounter{ketpicctre}{-#4}% +\divide\value{ketpicctre} by 2% +\addtocounter{ketpicctre}{#3}% +\ketshadebox[#1]{\theketpicctrd}{\theketpicctre}{#4}{#5}{#6}{#7}% +% +}% +\newcommand{\shadeboxe}[7][0]{% +\setcounter{ketpicctrd}{#2}% +\setcounter{ketpicctre}{-#4}% +\divide\value{ketpicctre} by 2% +\addtocounter{ketpicctre}{#3}% +\ketshadebox[#1]{\theketpicctrd}{\theketpicctre}{#4}{#5}{#6}{#7}% +% +}% +\newcommand{\shadeboxw}[7][0]{% +\setcounter{ketpicctrd}{-#4}% +\addtocounter{ketpicctrd}{#2}% +\setcounter{ketpicctre}{-#4}% +\divide\value{ketpicctre} by 2% +\addtocounter{ketpicctre}{#3}% +\ketshadebox[#1]{\theketpicctrd}{\theketpicctre}{#4}{#5}{#6}{#7}% +% +}% +\newcommand{\shadeboxn}[7][0]{% +\setcounter{ketpicctrd}{-#4}% +\divide\value{ketpicctrd} by 2% +\addtocounter{ketpicctrd}{#2}% +\setcounter{ketpicctre}{#3}% +\addtocounter{ketpicctre}{-#4}% +\ketshadebox[#1]{\theketpicctrd}{\theketpicctre}{#4}{#5}{#6}{#7}% +% +}% +\newcommand{\shadeboxs}[7][0]{% +\setcounter{ketpicctrd}{-#4}% +\divide\value{ketpicctrd} by 2% +\addtocounter{ketpicctrd}{#2}% +\setcounter{ketpicctre}{#3}% +\ketshadebox[#1]{\theketpicctrd}{\theketpicctre}{#4}{#5}{#6}{#7}% +% +}% +\newcommand{\shadeboxnw}[7][0]{% +\setcounter{ketpicctrd}{-#4}% +\addtocounter{ketpicctrd}{#2}% +\setcounter{ketpicctre}{#3}% +\addtocounter{ketpicctre}{-#4}% +\ketshadebox[#1]{\theketpicctrd}{\theketpicctre}{#4}{#5}{#6}{#7}% +% +}% +\newcommand{\shadeboxne}[7][0]{% +\setcounter{ketpicctrd}{#2}% +\setcounter{ketpicctre}{#3}% +\addtocounter{ketpicctre}{-#4}% +\ketshadebox[#1]{\theketpicctrd}{\theketpicctre}{#4}{#5}{#6}{#7}% +% +}% +\newcommand{\shadeboxsw}[7][0]{% +\setcounter{ketpicctrd}{-#4}% +\addtocounter{ketpicctrd}{#2}% +\setcounter{ketpicctre}{#3}% +\ketshadebox[#1]{\theketpicctrd}{\theketpicctre}{#4}{#5}{#6}{#7}% +% +}% +\newcommand{\eraser}[5][0]{% +\def\tmpcontents{% +{\unitlength=1mm% +\begin{picture}% +( 100.00000, 100.00000)( 0.00000, 0.00000)% +\linethickness{0.008in}% +% +{\color[cmyk]{0,0,0,0} +\polygon*(0.00010,0.00010)(99.99990,0.00010)(99.99990,99.99990)(0.00010,99.99990)% +(0.00010,0.00010) +}% +\end{picture}}%% +}% +% +{% +\ifnum % +#4<10 % +% +{% +\ifnum % +#5<10 % +\settowidth{\Width}{\scalebox{0.0#4}[0.0#5]{\tmpcontents}}\setlength{\Width}{0\Width}% +\settoheight{\Height}{\scalebox{0.0#4}[0.0#5]{\tmpcontents}}\settodepth{\Depth}{\scalebox{0.0#4}[0.0#5]{\tmpcontents}}\setlength{\Height}{-\Height}% +\put(#2,-#3){\hspace*{\Width}\raisebox{\Height}{\scalebox{0.0#4}[0.0#5]{\tmpcontents}}}% +% +\else% +\settowidth{\Width}{\scalebox{0.0#4}[0.#5]{\tmpcontents}}\setlength{\Width}{0\Width}% +\settoheight{\Height}{\scalebox{0.0#4}[0.#5]{\tmpcontents}}\settodepth{\Depth}{\scalebox{0.0#4}[0.#5]{\tmpcontents}}\setlength{\Height}{-\Height}% +\put(#2,-#3){\hspace*{\Width}\raisebox{\Height}{\scalebox{0.0#4}[0.#5]{\tmpcontents}}}% +% +\fi% +}% +% +\else% +% +{% +\ifnum % +#5<10 % +\settowidth{\Width}{\scalebox{0.#4}[0.0#5]{\tmpcontents}}\setlength{\Width}{0\Width}% +\settoheight{\Height}{\scalebox{0.#4}[0.0#5]{\tmpcontents}}\settodepth{\Depth}{\scalebox{0.#4}[0.0#5]{\tmpcontents}}\setlength{\Height}{-\Height}% +\put(#2,-#3){\hspace*{\Width}\raisebox{\Height}{\scalebox{0.#4}[0.0#5]{\tmpcontents}}}% +% +\else% +\settowidth{\Width}{\scalebox{0.#4}[0.#5]{\tmpcontents}}\setlength{\Width}{0\Width}% +\settoheight{\Height}{\scalebox{0.#4}[0.#5]{\tmpcontents}}\settodepth{\Depth}{\scalebox{0.#4}[0.#5]{\tmpcontents}}\setlength{\Height}{-\Height}% +\put(#2,-#3){\hspace*{\Width}\raisebox{\Height}{\scalebox{0.#4}[0.#5]{\tmpcontents}}}% +% +\fi% +}% +% +\fi% +}% +% +{% +\ifnum % +#1>0 % +\boxframese{#2}{#3}{#4}{#5}{}% +% +\fi% +}% +% +}% +\newcommand{\eraserse}[5][0]{% +\eraser[#1]{#2}{#3}{#4}{#5}% +% +}% +\newcommand{\eraserc}[5][0]{% +\setcounter{ketpicctrd}{-#4}% +\divide\value{ketpicctrd} by 2% +\addtocounter{ketpicctrd}{#2}% +\setcounter{ketpicctre}{-#4}% +\divide\value{ketpicctre} by 2% +\addtocounter{ketpicctre}{#3}% +\eraser[#1]{\theketpicctrd}{\theketpicctre}{#4}{#5}% +% +}% +\newcommand{\erasere}[5][0]{% +\setcounter{ketpicctrd}{#2}% +\setcounter{ketpicctre}{-#4}% +\divide\value{ketpicctre} by 2% +\addtocounter{ketpicctre}{#3}% +\eraser[#1]{\theketpicctrd}{\theketpicctre}{#4}{#5}% +% +}% +\newcommand{\eraserw}[5][0]{% +\setcounter{ketpicctrd}{-#4}% +\addtocounter{ketpicctrd}{#2}% +\setcounter{ketpicctre}{-#4}% +\divide\value{ketpicctre} by 2% +\addtocounter{ketpicctre}{#3}% +\eraser[#1]{\theketpicctrd}{\theketpicctre}{#4}{#5}% +% +}% +\newcommand{\erasern}[5][0]{% +\setcounter{ketpicctrd}{-#4}% +\divide\value{ketpicctrd} by 2% +\addtocounter{ketpicctrd}{#2}% +\setcounter{ketpicctre}{#3}% +\addtocounter{ketpicctre}{-#4}% +\eraser[#1]{\theketpicctrd}{\theketpicctre}{#4}{#5}% +% +}% +\newcommand{\erasers}[5][0]{% +\setcounter{ketpicctrd}{-#4}% +\divide\value{ketpicctrd} by 2% +\addtocounter{ketpicctrd}{#2}% +\setcounter{ketpicctre}{#3}% +\eraser[#1]{\theketpicctrd}{\theketpicctre}{#4}{#5}% +% +}% +\newcommand{\erasernw}[5][0]{% +\setcounter{ketpicctrd}{-#4}% +\addtocounter{ketpicctrd}{#2}% +\setcounter{ketpicctre}{#3}% +\addtocounter{ketpicctre}{-#4}% +\eraser[#1]{\theketpicctrd}{\theketpicctre}{#4}{#5}% +% +}% +\newcommand{\eraserne}[5][0]{% +\setcounter{ketpicctrd}{#2}% +\setcounter{ketpicctre}{#3}% +\addtocounter{ketpicctre}{-#4}% +\eraser[#1]{\theketpicctrd}{\theketpicctre}{#4}{#5}% +% +}% +\newcommand{\erasersw}[5][0]{% +\setcounter{ketpicctrd}{-#4}% +\addtocounter{ketpicctrd}{#2}% +\setcounter{ketpicctre}{#3}% +\eraser[#1]{\theketpicctrd}{\theketpicctre}{#4}{#5}% +% +}% +\newcommand{\arrowhead}[4][1]{% +\def\tmpcontents{% +{\unitlength=1mm% +\begin{picture}% +( 4.00000, 1.23607)( -2.00000, -0.61803)% +\linethickness{0.008in}% +% +\linethickness{0.004in}% +\polyline(0.00000,0.00000)(2.00000,-0.61803)(2.00000,0.61803)(0.00000,0.00000)% +% +\linethickness{0.008in}% +\polygon*(0.00000,0.00000)(2.00000,-0.61803)(2.00000,0.61803)(0.00000,0.00000)\end{picture}}%% +}% +\settowidth{\Width}{\rotatebox[origin=c]{#4}{\scalebox{#1}{\tmpcontents}}}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{\rotatebox[origin=c]{#4}{\scalebox{#1}{\tmpcontents}}}\settodepth{\Depth}{\rotatebox[origin=c]{#4}{\scalebox{#1}{\tmpcontents}}}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(#2,-#3){\hspace*{\Width}\raisebox{\Height}{\rotatebox[origin=c]{#4}{\scalebox{#1}{\tmpcontents}}}}% +% +}% +\newcommand{\lineseg}[5][12]{% +\def\tmpcontents{% +\setcounter{ketpicctra}{0}% +\setcounter{ketpicctra}{1}% +\addtocounter{ketpicctra}{-1}% +% +{% +\loop% +\addtocounter{ketpicctra}{1}% +{\unitlength=1mm% +\begin{picture}% +( 1.00000, 0.00200)( 0.00000, -0.00100)% +\linethickness{0.008in}% +% +% +{% +\ifnum % +#1<10 % +\linethickness{0.00#1 in}% +% +\else% +\linethickness{0.0#1 in}% +% +\fi% +}% +\polyline(0.00000,0.00000)(1.00000,0.00000)% +% +\linethickness{0.008in}% +\end{picture}}%% +\ifnum\theketpicctra<#4% +\repeat% +}% +% +}% +% +{% +\ifnum % +#5>0 % +% +{% +\ifnum % +#5<90 % +\settowidth{\Width}{\rotatebox[origin=c]{#5}{\tmpcontents}}\setlength{\Width}{0\Width}% +\settoheight{\Height}{\rotatebox[origin=c]{#5}{\tmpcontents}}\settodepth{\Depth}{\rotatebox[origin=c]{#5}{\tmpcontents}}\setlength{\Height}{\Depth}% +\put(#2,-#3){\hspace*{\Width}\raisebox{\Height}{\rotatebox[origin=c]{#5}{\tmpcontents}}}% +% +\else% +\settowidth{\Width}{\rotatebox[origin=c]{#5}{\tmpcontents}}\setlength{\Width}{-1\Width}% +\settoheight{\Height}{\rotatebox[origin=c]{#5}{\tmpcontents}}\settodepth{\Depth}{\rotatebox[origin=c]{#5}{\tmpcontents}}\setlength{\Height}{\Depth}% +\put(#2,-#3){\hspace*{\Width}\raisebox{\Height}{\rotatebox[origin=c]{#5}{\tmpcontents}}}% +% +\fi% +}% +% +\else% +% +{% +\ifnum % +#5>-90 % +\settowidth{\Width}{\rotatebox[origin=c]{#5}{\tmpcontents}}\setlength{\Width}{0\Width}% +\settoheight{\Height}{\rotatebox[origin=c]{#5}{\tmpcontents}}\settodepth{\Depth}{\rotatebox[origin=c]{#5}{\tmpcontents}}\setlength{\Height}{-\Height}% +\put(#2,-#3){\hspace*{\Width}\raisebox{\Height}{\rotatebox[origin=c]{#5}{\tmpcontents}}}% +% +\else% +\settowidth{\Width}{\rotatebox[origin=c]{#5}{\tmpcontents}}\setlength{\Width}{-1\Width}% +\settoheight{\Height}{\rotatebox[origin=c]{#5}{\tmpcontents}}\settodepth{\Depth}{\rotatebox[origin=c]{#5}{\tmpcontents}}\setlength{\Height}{-\Height}% +\put(#2,-#3){\hspace*{\Width}\raisebox{\Height}{\rotatebox[origin=c]{#5}{\tmpcontents}}}% +% +\fi% +}% +% +\fi% +}% +% +}% +\newcommand{\dashlineseg}[5][12]{% +\def\tmpcontents{% +\setcounter{ketpicctra}{0}% +\setcounter{ketpicctra}{1}% +\addtocounter{ketpicctra}{-1}% +% +{% +\loop% +\addtocounter{ketpicctra}{1}% +{\unitlength=1mm% +\begin{picture}% +( 1.00000, 0.00200)( 0.00000, -0.00100)% +\linethickness{0.008in}% +% +% +{% +\ifnum % +#1<10 % +\linethickness{0.00#1 in}% +% +\else% +\linethickness{0.0#1 in}% +% +\fi% +}% +\polyline(0.00000,0.00000)(0.50000,0.00000)% +% +\linethickness{0.008in}% +\end{picture}}%% +\ifnum\theketpicctra<#4% +\repeat% +}% +% +}% +% +{% +\ifnum % +#5>0 % +% +{% +\ifnum % +#5<90 % +\settowidth{\Width}{\rotatebox[origin=c]{#5}{\tmpcontents}}\setlength{\Width}{0\Width}% +\settoheight{\Height}{\rotatebox[origin=c]{#5}{\tmpcontents}}\settodepth{\Depth}{\rotatebox[origin=c]{#5}{\tmpcontents}}\setlength{\Height}{\Depth}% +\put(#2,-#3){\hspace*{\Width}\raisebox{\Height}{\rotatebox[origin=c]{#5}{\tmpcontents}}}% +% +\else% +\settowidth{\Width}{\rotatebox[origin=c]{#5}{\tmpcontents}}\setlength{\Width}{-1\Width}% +\settoheight{\Height}{\rotatebox[origin=c]{#5}{\tmpcontents}}\settodepth{\Depth}{\rotatebox[origin=c]{#5}{\tmpcontents}}\setlength{\Height}{\Depth}% +\put(#2,-#3){\hspace*{\Width}\raisebox{\Height}{\rotatebox[origin=c]{#5}{\tmpcontents}}}% +% +\fi% +}% +% +\else% +% +{% +\ifnum % +#5>-90 % +\settowidth{\Width}{\rotatebox[origin=c]{#5}{\tmpcontents}}\setlength{\Width}{0\Width}% +\settoheight{\Height}{\rotatebox[origin=c]{#5}{\tmpcontents}}\settodepth{\Depth}{\rotatebox[origin=c]{#5}{\tmpcontents}}\setlength{\Height}{-\Height}% +\put(#2,-#3){\hspace*{\Width}\raisebox{\Height}{\rotatebox[origin=c]{#5}{\tmpcontents}}}% +% +\else% +\settowidth{\Width}{\rotatebox[origin=c]{#5}{\tmpcontents}}\setlength{\Width}{-1\Width}% +\settoheight{\Height}{\rotatebox[origin=c]{#5}{\tmpcontents}}\settodepth{\Depth}{\rotatebox[origin=c]{#5}{\tmpcontents}}\setlength{\Height}{-\Height}% +\put(#2,-#3){\hspace*{\Width}\raisebox{\Height}{\rotatebox[origin=c]{#5}{\tmpcontents}}}% +% +\fi% +}% +% +\fi% +}% +% +}% +\def\arrowline#1#2#3#4{% +\lineseg[12]{#1}{#2}{#3}{#4}% +\arrowhead{#1}{#2}{#4}% +% +}% +\newcommand{\arrowlineseg}[5][12]{% +\lineseg[#1]{#2}{#3}{#4}{#5}% +\arrowhead{#2}{#3}{#5}% +% +}% +\newcommand{\conversion}[1]{% +\setcounter{ketpicctra}{#1}% +\multiply\value{ketpicctra} by 3937% +\divide\value{ketpicctra} by 100% +\{\theketpicctra\}% +% +}% +\newcommand{\dispgrid}[2]{% +\def\tmpcontents{% +{\unitlength=1mm% +\begin{picture}% +( 10.00000, 0.02000)( 0.00000, -0.01000)% +\linethickness{0.008in}% +% +\put(0.00000,0.00000){\circle*{0.304800}}\put(1.00000,0.00000){\circle*{0.304800}}% +\put(2.00000,0.00000){\circle*{0.304800}}\put(3.00000,0.00000){\circle*{0.304800}}% +\put(4.00000,0.00000){\circle*{0.304800}}\put(5.00000,0.00000){\circle*{0.304800}}% +\put(6.00000,0.00000){\circle*{0.304800}}\put(7.00000,0.00000){\circle*{0.304800}}% +\put(8.00000,0.00000){\circle*{0.304800}}\put(9.00000,0.00000){\circle*{0.304800}}% +\put(10.00000,0.00000){\circle*{0.304800}}% +\end{picture}}%% +}% +\setcounter{ketpicctre}{#2}% +\divide\value{ketpicctre} by 10% +\setcounter{ketpicctrf}{#1}% +\divide\value{ketpicctrf} by 10% +\addtocounter{ketpicctrf}{-1}% +\setcounter{ketpicctra}{0}% +\setcounter{ketpicctra}{0}% +\addtocounter{ketpicctra}{-1}% +% +{% +\loop% +\addtocounter{ketpicctra}{1}% +\setcounter{ketpicctrd}{0}% +\addtocounter{ketpicctrd}{-\value{ketpicctra}}% +\multiply\value{ketpicctrd} by 10% +\setcounter{ketpicctrc}{0}% +\setcounter{ketpicctrb}{0}% +\setcounter{ketpicctrb}{0}% +\addtocounter{ketpicctrb}{-1}% +% +{% +\loop% +\addtocounter{ketpicctrb}{1}% +\settowidth{\Width}{\tmpcontents}\setlength{\Width}{0\Width}% +\settoheight{\Height}{\tmpcontents}\settodepth{\Depth}{\tmpcontents}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(\theketpicctrc,\theketpicctrd){\hspace*{\Width}\raisebox{\Height}{\tmpcontents}}% +\addtocounter{ketpicctrc}{10}% +% +\ifnum\theketpicctrb<\theketpicctrf% +\repeat% +}% +\setcounter{ketpicctrg}{0}% +\addtocounter{ketpicctrg}{-\value{ketpicctrd}}% +\settowidth{\Width}{\theketpicctrg}\setlength{\Width}{-1\Width}% +\settoheight{\Height}{\theketpicctrg}\settodepth{\Depth}{\theketpicctrg}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(-1,\theketpicctrd){\hspace*{\Width}\raisebox{\Height}{\theketpicctrg}}% +% +\ifnum\theketpicctra<\theketpicctre% +\repeat% +}% +% +{% +\ifnum % +\theketpicctrd>-#2 % +\setcounter{ketpicctrc}{0}% +\setcounter{ketpicctrb}{0}% +\setcounter{ketpicctrb}{0}% +\addtocounter{ketpicctrb}{-1}% +% +{% +\loop% +\addtocounter{ketpicctrb}{1}% +\settowidth{\Width}{\tmpcontents}\setlength{\Width}{0\Width}% +\settoheight{\Height}{\tmpcontents}\settodepth{\Depth}{\tmpcontents}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(\theketpicctrc,-#2){\hspace*{\Width}\raisebox{\Height}{\tmpcontents}}% +\addtocounter{ketpicctrc}{10}% +% +\ifnum\theketpicctrb<\theketpicctrf% +\repeat% +}% +% +\fi% +}% +\def\tmpcontents{% +{\unitlength=1mm% +\begin{picture}% +( 0.02000, 10.00000)( -0.01000, 0.00000)% +\linethickness{0.008in}% +% +\put(0.00000,0.00000){\circle*{0.304800}}\put(0.00000,1.00000){\circle*{0.304800}}% +\put(0.00000,2.00000){\circle*{0.304800}}\put(0.00000,3.00000){\circle*{0.304800}}% +\put(0.00000,4.00000){\circle*{0.304800}}\put(0.00000,5.00000){\circle*{0.304800}}% +\put(0.00000,6.00000){\circle*{0.304800}}\put(0.00000,7.00000){\circle*{0.304800}}% +\put(0.00000,8.00000){\circle*{0.304800}}\put(0.00000,9.00000){\circle*{0.304800}}% +\put(0.00000,10.00000){\circle*{0.304800}}% +\end{picture}}%% +}% +\def\tmpcontentsb{% +{\unitlength=1mm% +\begin{picture}% +( 0.02000, 0.02000)( -0.01000, -0.01000)% +\linethickness{0.008in}% +% +\put(0.00000,0.00000){\circle*{0.200000}} + +\put(0.00000,0.00000){\circle{0.200000}} +% +\end{picture}}%% +}% +\setcounter{ketpicctre}{#2}% +\divide\value{ketpicctre} by 10% +\addtocounter{ketpicctre}{-1}% +\setcounter{ketpicctrf}{#1}% +\divide\value{ketpicctrf} by 10% +\setcounter{ketpicctra}{0}% +\setcounter{ketpicctra}{0}% +\addtocounter{ketpicctra}{-1}% +% +{% +\loop% +\addtocounter{ketpicctra}{1}% +\setcounter{ketpicctrd}{0}% +\addtocounter{ketpicctrd}{\value{ketpicctra}}% +\multiply\value{ketpicctrd} by 10% +\setcounter{ketpicctrc}{0}% +\setcounter{ketpicctrb}{0}% +\setcounter{ketpicctrb}{0}% +\addtocounter{ketpicctrb}{-1}% +% +{% +\loop% +\addtocounter{ketpicctrb}{1}% +\settowidth{\Width}{\tmpcontents}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{\tmpcontents}\settodepth{\Depth}{\tmpcontents}\setlength{\Height}{-\Height}% +\put(\theketpicctrd,\theketpicctrc){\hspace*{\Width}\raisebox{\Height}{\tmpcontents}}% +\addtocounter{ketpicctrc}{-10}% +% +\ifnum\theketpicctrb<\theketpicctre% +\repeat% +}% +% +{% +\ifnum % +\theketpicctrc>-#2 % +\setcounter{ketpicctrb}{0}% +\setcounter{ketpicctrb}{-#2}% +\addtocounter{ketpicctrb}{-1}% +% +{% +\loop% +\addtocounter{ketpicctrb}{1}% +\settowidth{\Width}{\tmpcontentsb}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{\tmpcontentsb}\settodepth{\Depth}{\tmpcontentsb}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(\theketpicctrd,\theketpicctrb){\hspace*{\Width}\raisebox{\Height}{\tmpcontentsb}}% +% +\ifnum\theketpicctrb<\theketpicctrc% +\repeat% +}% +% +\fi% +}% +\setcounter{ketpicctrg}{-#2}% +\addtocounter{ketpicctrg}{-1}% +\settowidth{\Width}{\theketpicctrd}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{\theketpicctrd}\settodepth{\Depth}{\theketpicctrd}\setlength{\Height}{-\Height}% +\put(\theketpicctrd,\theketpicctrg){\hspace*{\Width}\raisebox{\Height}{\theketpicctrd}}% +% +\ifnum\theketpicctra<\theketpicctrf% +\repeat% +}% +% +}% +\newcommand{\dispgridneg}[2]{% +\def\tmpcontents{% +{\unitlength=1mm% +\begin{picture}% +( 10.00000, 0.02000)( 0.00000, -0.01000)% +\linethickness{0.008in}% +% +\put(0.00000,0.00000){\circle*{0.304800}}\put(1.00000,0.00000){\circle*{0.304800}}% +\put(2.00000,0.00000){\circle*{0.304800}}\put(3.00000,0.00000){\circle*{0.304800}}% +\put(4.00000,0.00000){\circle*{0.304800}}\put(5.00000,0.00000){\circle*{0.304800}}% +\put(6.00000,0.00000){\circle*{0.304800}}\put(7.00000,0.00000){\circle*{0.304800}}% +\put(8.00000,0.00000){\circle*{0.304800}}\put(9.00000,0.00000){\circle*{0.304800}}% +\put(10.00000,0.00000){\circle*{0.304800}}% +\end{picture}}%% +}% +\setcounter{ketpicctre}{#2}% +\multiply\value{ketpicctre} by -1% +\divide\value{ketpicctre} by 10% +\setcounter{ketpicctrf}{#1}% +\divide\value{ketpicctrf} by 10% +\addtocounter{ketpicctrf}{-1}% +\setcounter{ketpicctra}{0}% +\setcounter{ketpicctra}{0}% +\addtocounter{ketpicctra}{-1}% +% +{% +\loop% +\addtocounter{ketpicctra}{1}% +\setcounter{ketpicctrd}{\value{ketpicctra}}% +\multiply\value{ketpicctrd} by 10% +\setcounter{ketpicctrc}{0}% +\setcounter{ketpicctrb}{0}% +\setcounter{ketpicctrb}{0}% +\addtocounter{ketpicctrb}{-1}% +% +{% +\loop% +\addtocounter{ketpicctrb}{1}% +\settowidth{\Width}{\tmpcontents}\setlength{\Width}{0\Width}% 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+( 1.00000, 1.00000)( 0.00000, 0.00000)% +\linethickness{0.008in}% +% +% +{% +\ifnum % +#1<10 % +\linethickness{0.00#1 in}% +% +\else% +\linethickness{0.0#1 in}% +% +\fi% +}% +\polyline(0.00000,0.00000)(1.00000,1.00000)% +% +\linethickness{0.008in}% +\end{picture}}%% +}% +\def\tmpcontentsb{% +{\unitlength=1mm% +\begin{picture}% +( 1.00000, 1.00000)( 0.00000, 0.00000)% +\linethickness{0.008in}% +% +% +{% +\ifnum % +#1<10 % +\linethickness{0.00#1 in}% +% +\else% +\linethickness{0.0#1 in}% +% +\fi% +}% +\polyline(0.00000,1.00000)(1.00000,0.00000)% +% +\linethickness{0.008in}% +\end{picture}}%% +}% +\setcounter{ketpicctra}{0}% +\setcounter{ketpicctra}{1}% +\addtocounter{ketpicctra}{-1}% +% +{% +\loop% +\addtocounter{ketpicctra}{1}% +\setcounter{ketpicctrb}{#2}% +\addtocounter{ketpicctrb}{\value{ketpicctra}}% +\addtocounter{ketpicctrb}{-1}% +\setcounter{ketpicctrc}{\value{ketpicctra}}% +\divide\value{ketpicctrc} by 2% +\multiply\value{ketpicctrc} by 2% +% +{% +\ifnum % +\theketpicctrc<\theketpicctra % +\settowidth{\Width}{\tmpcontentsb}\setlength{\Width}{0\Width}% +\settoheight{\Height}{\tmpcontentsb}\settodepth{\Depth}{\tmpcontentsb}\setlength{\Height}{-\Height}% +\put(\theketpicctrb,-#3){\hspace*{\Width}\raisebox{\Height}{\tmpcontentsb}}% +% +\else% +\settowidth{\Width}{\tmpcontents}\setlength{\Width}{0\Width}% +\settoheight{\Height}{\tmpcontents}\settodepth{\Depth}{\tmpcontents}\setlength{\Height}{-\Height}% +\put(\theketpicctrb,-#3){\hspace*{\Width}\raisebox{\Height}{\tmpcontents}}% +% +\fi% +}% +% +\ifnum\theketpicctra<#4% +\repeat% +}% +% +}% +\newcommand{\vjaggylineb}[4][8]{% +\def\tmpcontents{% +{\unitlength=1mm% +\begin{picture}% +( 1.00000, 1.00000)( 0.00000, -1.00000)% +\linethickness{0.008in}% +% +% +{% +\ifnum % +#1<10 % +\linethickness{0.00#1 in}% +% +\else% +\linethickness{0.0#1 in}% +% +\fi% +}% +\polyline(0.00000,0.00000)(1.00000,-1.00000)% +% +\linethickness{0.008in}% +\end{picture}}%% +}% +\def\tmpcontentsb{% +{\unitlength=1mm% +\begin{picture}% +( 1.00000, 1.00000)( 0.00000, -1.00000)% +\linethickness{0.008in}% +% +% +{% +\ifnum % +#1<10 % +\linethickness{0.00#1 in}% +% +\else% +\linethickness{0.0#1 in}% +% +\fi% +}% +\polyline(1.00000,0.00000)(0.00000,-1.00000)% +% +\linethickness{0.008in}% +\end{picture}}%% +}% +\setcounter{ketpicctra}{0}% +\setcounter{ketpicctra}{1}% +\addtocounter{ketpicctra}{-1}% +% +{% +\loop% +\addtocounter{ketpicctra}{1}% +\setcounter{ketpicctrb}{-#3}% +\addtocounter{ketpicctrb}{-\value{ketpicctra}}% +\addtocounter{ketpicctrb}{1}% +\setcounter{ketpicctrc}{\value{ketpicctra}}% +\divide\value{ketpicctrc} by 2% +\multiply\value{ketpicctrc} by 2% +% +{% +\ifnum % +\theketpicctrc<\theketpicctra % +\settowidth{\Width}{\tmpcontentsb}\setlength{\Width}{-1\Width}% +\settoheight{\Height}{\tmpcontentsb}\settodepth{\Depth}{\tmpcontentsb}\setlength{\Height}{-\Height}% +\put(#2,\theketpicctrb){\hspace*{\Width}\raisebox{\Height}{\tmpcontentsb}}% +% +\else% +\settowidth{\Width}{\tmpcontents}\setlength{\Width}{-1\Width}% +\settoheight{\Height}{\tmpcontents}\settodepth{\Depth}{\tmpcontents}\setlength{\Height}{-\Height}% +\put(#2,\theketpicctrb){\hspace*{\Width}\raisebox{\Height}{\tmpcontents}}% +% +\fi% +}% +% +\ifnum\theketpicctra<#4% +\repeat% +}% +% +}% +\newcommand{\jaggyboxframe}[6][8]{% +\def\tmpcontents{% +\setcounter{ketpicctrf}{#4}% +\addtocounter{ketpicctrf}{-4}% +\setlength{\Width}{\theketpicctrf\unitlength}% +\begin{minipage}{\Width}% +#6% +\end{minipage}% +% +}% +\setcounter{ketpicctrg}{#2}% +\addtocounter{ketpicctrg}{2}% +\setcounter{ketpicctrh}{-#3}% +\addtocounter{ketpicctrh}{-2}% +\settowidth{\Width}{\tmpcontents}\setlength{\Width}{0\Width}% +\settoheight{\Height}{\tmpcontents}\settodepth{\Depth}{\tmpcontents}\setlength{\Height}{-\Height}% +\put(\theketpicctrg,\theketpicctrh){\hspace*{\Width}\raisebox{\Height}{\tmpcontents}}% +\setcounter{ketpicctrg}{#2}% +\setcounter{ketpicctrh}{#3}% +\hjaggylineb[#1]{\theketpicctrg}{\theketpicctrh}{#4}% +\vjaggylineb[#1]{\theketpicctrg}{\theketpicctrh}{#5}% +\setcounter{ketpicctrg}{#2}% +\setcounter{ketpicctrh}{#3}% +\addtocounter{ketpicctrh}{#5}% +\hjaggyline[#1]{\theketpicctrg}{\theketpicctrh}{#4}% +\setcounter{ketpicctrg}{#2}% +\addtocounter{ketpicctrg}{#4}% +\setcounter{ketpicctrh}{#3}% +\vjaggyline[#1]{\theketpicctrg}{\theketpicctrh}{#5}% +% +}% +\newcommand{\jaggyboxframese}[6][8]{% +\jaggyboxframe[#1]{#2}{#3}{#4}{#5}{#6}% +% +}% +\newcommand{\jaggyboxframec}[6][8]{% +\setcounter{ketpicctrd}{-#4}% +\divide\value{ketpicctrd} by 2% +\addtocounter{ketpicctrd}{#2}% +\setcounter{ketpicctre}{-#5}% +\divide\value{ketpicctre} by 2% +\addtocounter{ketpicctre}{#3}% +\jaggyboxframe[#1]{\theketpicctrd}{\theketpicctre}{#4}{#5}{#6}% +% +}% +\newcommand{\jaggyboxframee}[6][8]{% +\setcounter{ketpicctrd}{#2}% +\setcounter{ketpicctre}{-#5}% +\divide\value{ketpicctre} by 2% +\addtocounter{ketpicctre}{#3}% +\jaggyboxframe[#1]{\theketpicctrd}{\theketpicctre}{#4}{#5}{#6}% +% +}% +\newcommand{\jaggyboxframew}[6][8]{% +\setcounter{ketpicctrd}{-#4}% +\addtocounter{ketpicctrd}{#2}% +\setcounter{ketpicctre}{-#5}% +\divide\value{ketpicctre} by 2% +\addtocounter{ketpicctre}{#3}% +\jaggyboxframe[#1]{\theketpicctrd}{\theketpicctre}{#4}{#5}{#6}% +% +}% +\newcommand{\jaggyboxframen}[6][8]{% +\setcounter{ketpicctrd}{-#4}% +\divide\value{ketpicctrd} by 2% +\addtocounter{ketpicctrd}{#2}% +\setcounter{ketpicctre}{#3}% +\addtocounter{ketpicctre}{-#5}% +\jaggyboxframe[#1]{\theketpicctrd}{\theketpicctre}{#4}{#5}{#6}% +% +}% +\newcommand{\jaggyboxframes}[6][8]{% +\setcounter{ketpicctrd}{-#4}% +\divide\value{ketpicctrd} by 2% +\addtocounter{ketpicctrd}{#2}% +\setcounter{ketpicctre}{#3}% +\jaggyboxframe[#1]{\theketpicctrd}{\theketpicctre}{#4}{#5}{#6}% +% +}% +\newcommand{\jaggyboxframenw}[6][8]{% +\setcounter{ketpicctrd}{-#4}% +\addtocounter{ketpicctrd}{#2}% +\setcounter{ketpicctre}{#3}% +\addtocounter{ketpicctre}{-#5}% +\jaggyboxframe[#1]{\theketpicctrd}{\theketpicctre}{#4}{#5}{#6}% +% +}% +\newcommand{\jaggyboxframene}[6][8]{% +\setcounter{ketpicctrd}{#2}% +\setcounter{ketpicctre}{#3}% +\addtocounter{ketpicctre}{-#5}% +\jaggyboxframe[#1]{\theketpicctrd}{\theketpicctre}{#4}{#5}{#6}% +% +}% +\newcommand{\jaggyboxframesw}[6][8]{% +\setcounter{ketpicctrd}{-#4}% +\addtocounter{ketpicctrd}{#2}% +\setcounter{ketpicctre}{#3}% +\jaggyboxframe[#1]{\theketpicctrd}{\theketpicctre}{#4}{#5}{#6}% +% +}% +\newcommand{\hdialine}[4][8]{% +\def\tmpcontents{% +{\unitlength=1mm% +\begin{picture}% +( 1.00000, 1.00000)( 0.00000, -0.50000)% +\linethickness{0.008in}% +% +% +{% +\ifnum % +#1<10 % +\linethickness{0.00#1 in}% +% +\else% +\linethickness{0.0#1 in}% +% +\fi% +}% +\polyline(1.00000,0.50000)(0.00000,0.00000)(1.00000,-0.50000)% +% +\linethickness{0.008in}% +\end{picture}}%% +}% +\def\tmpcontentsb{% +{\unitlength=1mm% +\begin{picture}% +( 1.00000, 1.00000)( 0.00000, -0.50000)% +\linethickness{0.008in}% +% +% +{% +\ifnum % +#1<10 % +\linethickness{0.00#1 in}% +% +\else% +\linethickness{0.0#1 in}% +% +\fi% +}% +\polyline(0.00000,0.50000)(1.00000,0.00000)(0.00000,-0.50000)% +% +\linethickness{0.008in}% +\end{picture}}%% +}% +\setcounter{ketpicctra}{0}% +\setcounter{ketpicctra}{1}% +\addtocounter{ketpicctra}{-1}% +% +{% +\loop% +\addtocounter{ketpicctra}{1}% +\setcounter{ketpicctrb}{#2}% +\addtocounter{ketpicctrb}{\value{ketpicctra}}% +\addtocounter{ketpicctrb}{-1}% +\setcounter{ketpicctrc}{\value{ketpicctra}}% +\divide\value{ketpicctrc} by 2% +\multiply\value{ketpicctrc} by 2% +% +{% +\ifnum % +\theketpicctrc<\theketpicctra % +\settowidth{\Width}{\tmpcontents}\setlength{\Width}{0\Width}% +\settoheight{\Height}{\tmpcontents}\settodepth{\Depth}{\tmpcontents}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(\theketpicctrb,-#3){\hspace*{\Width}\raisebox{\Height}{\tmpcontents}}% +% +\else% +\settowidth{\Width}{\tmpcontentsb}\setlength{\Width}{0\Width}% +\settoheight{\Height}{\tmpcontentsb}\settodepth{\Depth}{\tmpcontentsb}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(\theketpicctrb,-#3){\hspace*{\Width}\raisebox{\Height}{\tmpcontentsb}}% +% +\fi% +}% +% +\ifnum\theketpicctra<#4% +\repeat% +}% +% +}% +\newcommand{\vdialine}[4][8]{% +\def\tmpcontents{% +{\unitlength=1mm% +\begin{picture}% +( 1.00000, 1.00000)( -0.50000, 0.00000)% +\linethickness{0.008in}% +% +% +{% +\ifnum % +#1<10 % +\linethickness{0.00#1 in}% +% +\else% +\linethickness{0.0#1 in}% +% +\fi% +}% +\polyline(-0.50000,0.00000)(0.00000,1.00000)(0.50000,0.00000)% +% +\linethickness{0.008in}% +\end{picture}}%% +}% +\def\tmpcontentsb{% +{\unitlength=1mm% +\begin{picture}% +( 1.00000, 1.00000)( -0.50000, 0.00000)% +\linethickness{0.008in}% +% +% +{% +\ifnum % +#1<10 % +\linethickness{0.00#1 in}% +% +\else% +\linethickness{0.0#1 in}% +% +\fi% +}% +\polyline(-0.50000,1.00000)(0.00000,0.00000)(0.50000,1.00000)% +% +\linethickness{0.008in}% +\end{picture}}%% +}% +\setcounter{ketpicctra}{0}% +\setcounter{ketpicctra}{1}% +\addtocounter{ketpicctra}{-1}% +% +{% +\loop% +\addtocounter{ketpicctra}{1}% +\setcounter{ketpicctrb}{-#3}% +\addtocounter{ketpicctrb}{-\value{ketpicctra}}% +\addtocounter{ketpicctrb}{1}% +\setcounter{ketpicctrc}{\value{ketpicctra}}% +\divide\value{ketpicctrc} by 2% +\multiply\value{ketpicctrc} by 2% +% +{% +\ifnum % +\theketpicctrc<\theketpicctra % +\settowidth{\Width}{\tmpcontents}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{\tmpcontents}\settodepth{\Depth}{\tmpcontents}\setlength{\Height}{-\Height}% +\put(#2,\theketpicctrb){\hspace*{\Width}\raisebox{\Height}{\tmpcontents}}% +% +\else% +\settowidth{\Width}{\tmpcontentsb}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{\tmpcontentsb}\settodepth{\Depth}{\tmpcontentsb}\setlength{\Height}{-\Height}% +\put(#2,\theketpicctrb){\hspace*{\Width}\raisebox{\Height}{\tmpcontentsb}}% +% +\fi% +}% +% +\ifnum\theketpicctra<#4% +\repeat% +}% +% +}% +\newcommand{\diaboxframe}[6][4]{% +\def\tmpcontents{% +\setcounter{ketpicctrf}{#4}% +\addtocounter{ketpicctrf}{-4}% +\setlength{\Width}{\theketpicctrf\unitlength}% +\begin{minipage}{\Width}% +#6% +\end{minipage}% +% +}% +\setcounter{ketpicctrg}{#2}% +\addtocounter{ketpicctrg}{2}% +\setcounter{ketpicctrh}{-#3}% +\addtocounter{ketpicctrh}{-2}% +\settowidth{\Width}{\tmpcontents}\setlength{\Width}{0\Width}% +\settoheight{\Height}{\tmpcontents}\settodepth{\Depth}{\tmpcontents}\setlength{\Height}{-\Height}% +\put(\theketpicctrg,\theketpicctrh){\hspace*{\Width}\raisebox{\Height}{\tmpcontents}}% +\setcounter{ketpicctrh}{#3}% +\hdialine[#1]{#2}{\theketpicctrh}{#4}% +\setcounter{ketpicctrh}{#3}% +\addtocounter{ketpicctrh}{#5}% +\hdialine[#1]{#2}{\theketpicctrh}{#4}% +\setcounter{ketpicctrg}{#2}% +\vdialine[#1]{\theketpicctrg}{#3}{#5}% +\setcounter{ketpicctrg}{#2}% +\addtocounter{ketpicctrg}{#4}% +\vdialine[#1]{\theketpicctrg}{#3}{#5}% +% +}% +\newcommand{\diaboxframese}[6][8]{% +\diaboxframe[#1]{#2}{#3}{#4}{#5}{#6}% +% +}% +\newcommand{\diaboxframec}[6][8]{% +\setcounter{ketpicctrd}{-#4}% +\divide\value{ketpicctrd} by 2% +\addtocounter{ketpicctrd}{#2}% +\setcounter{ketpicctre}{-#5}% +\divide\value{ketpicctre} by 2% +\addtocounter{ketpicctre}{#3}% +\diaboxframe[#1]{\theketpicctrd}{\theketpicctre}{#4}{#5}{#6}% +% +}% +\newcommand{\diaboxframee}[6][8]{% +\setcounter{ketpicctrd}{#2}% +\setcounter{ketpicctre}{-#5}% +\divide\value{ketpicctre} by 2% +\addtocounter{ketpicctre}{#3}% +\diaboxframe[#1]{\theketpicctrd}{\theketpicctre}{#4}{#5}{#6}% +% +}% +\newcommand{\diaboxframew}[6][8]{% +\setcounter{ketpicctrd}{-#4}% +\addtocounter{ketpicctrd}{#2}% +\setcounter{ketpicctre}{-#5}% +\divide\value{ketpicctre} by 2% +\addtocounter{ketpicctre}{#3}% +\diaboxframe[#1]{\theketpicctrd}{\theketpicctre}{#4}{#5}{#6}% +% +}% +\newcommand{\diaboxframen}[6][8]{% +\setcounter{ketpicctrd}{-#4}% +\divide\value{ketpicctrd} by 2% +\addtocounter{ketpicctrd}{#2}% +\setcounter{ketpicctre}{-#5}% +\addtocounter{ketpicctre}{#3}% +\diaboxframe[#1]{\theketpicctrd}{\theketpicctre}{#4}{#5}{#6}% +% +}% +\newcommand{\diaboxframes}[6][0.008]{% +\setcounter{ketpicctrd}{-#4}% +\divide\value{ketpicctrd} by 2% +\addtocounter{ketpicctrd}{#2}% +\setcounter{ketpicctre}{#3}% +\diaboxframe[#1]{\theketpicctrd}{\theketpicctre}{#4}{#5}{#6}% +% +}% +\newcommand{\diaboxframenw}[6][8]{% +\setcounter{ketpicctrd}{-#4}% +\addtocounter{ketpicctrd}{#2}% +\setcounter{ketpicctre}{-#5}% +\addtocounter{ketpicctre}{#3}% +\diaboxframe[#1]{\theketpicctrd}{\theketpicctre}{#4}{#5}{#6}% +% +}% +\newcommand{\diaboxframene}[6][8]{% +\setcounter{ketpicctrd}{#2}% +\setcounter{ketpicctre}{-#5}% +\addtocounter{ketpicctre}{#3}% +\diaboxframe[#1]{\theketpicctrd}{\theketpicctre}{#4}{#5}{#6}% +% +}% +\newcommand{\diaboxframesw}[6][8]{% +\setcounter{ketpicctrd}{-#4}% +\addtocounter{ketpicctrd}{#2}% +\setcounter{ketpicctre}{#3}% +\diaboxframe[#1]{\theketpicctrd}{\theketpicctre}{#4}{#5}{#6}% +% +}% +\newcommand{\hdashline}[4][8]{% +\def\tmpcontents{% +{\unitlength=1mm% +\begin{picture}% +( 1.00000, 0.02000)( 0.00000, -0.01000)% +\linethickness{0.008in}% +% +% +{% +\ifnum % +#1<10 % +\linethickness{0.00#1 in}% +% +\else% +\linethickness{0.0#1 in}% +% +\fi% +}% +\polyline(0.00000,0.00000)(0.50000,0.00000)% +% +\linethickness{0.008in}% +\end{picture}}%% +}% +\setcounter{ketpicctra}{0}% +\setcounter{ketpicctra}{1}% +\addtocounter{ketpicctra}{-1}% +% +{% +\loop% +\addtocounter{ketpicctra}{1}% +\setcounter{ketpicctrb}{#2}% +\addtocounter{ketpicctrb}{\value{ketpicctra}}% +\addtocounter{ketpicctrb}{-1}% +\settowidth{\Width}{\tmpcontents}\setlength{\Width}{0\Width}% +\settoheight{\Height}{\tmpcontents}\settodepth{\Depth}{\tmpcontents}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(\theketpicctrb,-#3){\hspace*{\Width}\raisebox{\Height}{\tmpcontents}}% +% +\ifnum\theketpicctra<#4% +\repeat% +}% +% +}% +\newcommand{\hdashlineb}[4][8]{% +\def\tmpcontents{% +{\unitlength=1mm% +\begin{picture}% +( 1.00000, 0.02000)( 0.00000, -0.01000)% +\linethickness{0.008in}% +% +% +{% +\ifnum % +#1<10 % +\linethickness{0.00#1 in}% +% +\else% +\linethickness{0.0#1 in}% +% +\fi% +}% +\polyline(0.50000,0.00000)(1.00000,0.00000)% +% +\linethickness{0.008in}% +\end{picture}}%% +}% +\setcounter{ketpicctra}{0}% +\setcounter{ketpicctra}{1}% +\addtocounter{ketpicctra}{-1}% +% +{% +\loop% +\addtocounter{ketpicctra}{1}% +\setcounter{ketpicctrb}{#2}% +\addtocounter{ketpicctrb}{\value{ketpicctra}}% +\addtocounter{ketpicctrb}{-1}% +\settowidth{\Width}{\tmpcontents}\setlength{\Width}{0\Width}% +\settoheight{\Height}{\tmpcontents}\settodepth{\Depth}{\tmpcontents}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(\theketpicctrb,-#3){\hspace*{\Width}\raisebox{\Height}{\tmpcontents}}% +% +\ifnum\theketpicctra<#4% +\repeat% +}% +% +}% +\newcommand{\vdashline}[4][8]{% +\def\tmpcontents{% +{\unitlength=1mm% +\begin{picture}% +( 0.02000, 1.00000)( -0.01000, 0.00000)% +\linethickness{0.008in}% +% +% +{% +\ifnum % +#1<10 % +\linethickness{0.00#1 in}% +% +\else% +\linethickness{0.0#1 in}% +% +\fi% +}% +\polyline(0.00000,0.00000)(0.00000,0.50000)% +% +\linethickness{0.008in}% +\end{picture}}%% +}% +\setcounter{ketpicctra}{0}% +\setcounter{ketpicctra}{1}% +\addtocounter{ketpicctra}{-1}% +% +{% +\loop% +\addtocounter{ketpicctra}{1}% +\setcounter{ketpicctrb}{-#3}% +\addtocounter{ketpicctrb}{-\value{ketpicctra}}% +\addtocounter{ketpicctrb}{1}% +\settowidth{\Width}{\tmpcontents}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{\tmpcontents}\settodepth{\Depth}{\tmpcontents}\setlength{\Height}{-\Height}% +\put(#2,\theketpicctrb){\hspace*{\Width}\raisebox{\Height}{\tmpcontents}}% +% +\ifnum\theketpicctra<#4% +\repeat% +}% +% +}% +\newcommand{\vdashlineb}[4][8]{% +\def\tmpcontents{% +{\unitlength=1mm% +\begin{picture}% +( 0.02000, 1.00000)( -0.01000, 0.00000)% +\linethickness{0.008in}% +% +% +{% +\ifnum % +#1<10 % +\linethickness{0.00#1 in}% +% +\else% +\linethickness{0.0#1 in}% +% +\fi% +}% +\polyline(0.00000,0.50000)(0.00000,1.00000)% +% +\linethickness{0.008in}% +\end{picture}}%% +}% +\setcounter{ketpicctra}{0}% +\setcounter{ketpicctra}{1}% +\addtocounter{ketpicctra}{-1}% +% +{% +\loop% +\addtocounter{ketpicctra}{1}% +\setcounter{ketpicctrb}{-#3}% +\addtocounter{ketpicctrb}{-\value{ketpicctra}}% +\addtocounter{ketpicctrb}{1}% +\settowidth{\Width}{\tmpcontents}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{\tmpcontents}\settodepth{\Depth}{\tmpcontents}\setlength{\Height}{-\Height}% +\put(#2,\theketpicctrb){\hspace*{\Width}\raisebox{\Height}{\tmpcontents}}% +% +\ifnum\theketpicctra<#4% +\repeat% +}% +% +}% +\newcommand{\dashboxframe}[6][4]{% +\def\tmpcontents{% +\setcounter{ketpicctrf}{#4}% +\addtocounter{ketpicctrf}{-4}% +\setlength{\Width}{\theketpicctrf\unitlength}% +\begin{minipage}{\Width}% +#6% +\end{minipage}% +% +}% +\setcounter{ketpicctrg}{#2}% +\addtocounter{ketpicctrg}{2}% +\setcounter{ketpicctrh}{-#3}% +\addtocounter{ketpicctrh}{-2}% +\settowidth{\Width}{\tmpcontents}\setlength{\Width}{0\Width}% +\settoheight{\Height}{\tmpcontents}\settodepth{\Depth}{\tmpcontents}\setlength{\Height}{-\Height}% +\put(\theketpicctrg,\theketpicctrh){\hspace*{\Width}\raisebox{\Height}{\tmpcontents}}% +\setcounter{ketpicctrh}{#3}% +\hdashline[#1]{#2}{\theketpicctrh}{#4}% +\setcounter{ketpicctrh}{#3}% +\addtocounter{ketpicctrh}{#5}% +\hdashlineb[#1]{#2}{\theketpicctrh}{#4}% +\setcounter{ketpicctrg}{#2}% +\vdashline[#1]{\theketpicctrg}{#3}{#5}% +\setcounter{ketpicctrg}{#2}% +\addtocounter{ketpicctrg}{#4}% +\vdashlineb[#1]{\theketpicctrg}{#3}{#5}% +% +}% +\newcommand{\dashboxframese}[6][8]{% +\dashboxframe[#1]{#2}{#3}{#4}{#5}{#6}% +% +}% +\newcommand{\dashboxframec}[6][8]{% +\setcounter{ketpicctrd}{-#4}% +\divide\value{ketpicctrd} by 2% +\addtocounter{ketpicctrd}{#2}% +\setcounter{ketpicctre}{-#5}% +\divide\value{ketpicctre} by 2% +\addtocounter{ketpicctre}{#3}% +\dashboxframe[#1]{\theketpicctrd}{\theketpicctre}{#4}{#5}{#6}% +% +}% +\newcommand{\dashboxframee}[6][8]{% +\setcounter{ketpicctrd}{#2}% +\setcounter{ketpicctre}{-#5}% +\divide\value{ketpicctre} by 2% +\addtocounter{ketpicctre}{#3}% +\dashboxframe[#1]{\theketpicctrd}{\theketpicctre}{#4}{#5}{#6}% +% +}% +\newcommand{\dashboxframew}[6][8]{% +\setcounter{ketpicctrd}{-#4}% +\addtocounter{ketpicctrd}{#2}% +\setcounter{ketpicctre}{-#5}% +\divide\value{ketpicctre} by 2% +\addtocounter{ketpicctre}{#3}% +\dashboxframe[#1]{\theketpicctrd}{\theketpicctre}{#4}{#5}{#6}% +% +}% +\newcommand{\dashboxframen}[6][8]{% +\setcounter{ketpicctrd}{-#4}% +\divide\value{ketpicctrd} by 2% +\addtocounter{ketpicctrd}{#2}% +\setcounter{ketpicctre}{#3}% +\addtocounter{ketpicctre}{-#5}% +\dashboxframe[#1]{\theketpicctrd}{\theketpicctre}{#4}{#5}{#6}% +% +}% +\newcommand{\dashboxframes}[6][8]{% +\setcounter{ketpicctrd}{-#4}% +\divide\value{ketpicctrd} by 2% +\addtocounter{ketpicctrd}{#2}% +\setcounter{ketpicctre}{#3}% +\dashboxframe[#1]{\theketpicctrd}{\theketpicctre}{#4}{#5}{#6}% +% +}% +\newcommand{\dashboxframenw}[6][8]{% +\setcounter{ketpicctrd}{-#4}% +\addtocounter{ketpicctrd}{#2}% +\setcounter{ketpicctre}{#3}% +\addtocounter{ketpicctre}{-#5}% +\dashboxframe[#1]{\theketpicctrd}{\theketpicctre}{#4}{#5}{#6}% +% +}% +\newcommand{\dashboxframene}[6][8]{% +\setcounter{ketpicctrd}{#2}% +\setcounter{ketpicctre}{#3}% +\addtocounter{ketpicctre}{-#5}% +\dashboxframe[#1]{\theketpicctrd}{\theketpicctre}{#4}{#5}{#6}% +% +}% +\newcommand{\dashboxframesw}[6][8]{% +\setcounter{ketpicctrd}{-#4}% +\addtocounter{ketpicctrd}{#2}% +\setcounter{ketpicctre}{#3}% +\dashboxframe[#1]{\theketpicctrd}{\theketpicctre}{#4}{#5}{#6}% +% +}% +\newcommand{\boxlinep}[6][8]{% +\def\tmpcontents{% +{\unitlength=1mm% +\begin{picture}% +( 1.00000, 0.02000)( 0.00000, -0.01000)% +\linethickness{0.008in}% +% +% +{% +\ifnum % +#1<10 % +\linethickness{0.00#1 in}% +% +\else% +\linethickness{0.0#1 in}% +% +\fi% +}% +\polyline(0.00000,0.00000)(1.00000,0.00000)% +% +\linethickness{0.008in}% +\end{picture}}%% +}% +\def\tmpcontentsb{% +{\unitlength=0.1mm% +\begin{picture}% +( 1.00000, 0.02000)( 0.00000, -0.01000)% +\linethickness{0.008in}% +% +% +{% +\ifnum % +#1<10 % +\linethickness{0.00#1 in}% +% +\else% +\linethickness{0.0#1 in}% +% +\fi% +}% +\polyline(0.00000,0.00000)(1.00000,0.00000)% +% +\linethickness{0.008in}% +\end{picture}}%% +}% +{\unitlength=0.1mm% +\setcounter{ketpicctrc}{-#3}% +\addtocounter{ketpicctrc}{-#5}% +\setcounter{ketpicctra}{0}% +\setcounter{ketpicctra}{1}% +\addtocounter{ketpicctra}{-1}% +% +{% +\loop% +\addtocounter{ketpicctra}{1}% +\setcounter{ketpicctrb}{\value{ketpicctra}}% +\addtocounter{ketpicctrb}{9}% +% +{% +\ifnum % +\theketpicctrb>#4 % +\setcounter{ketpicctrb}{#2}% +\addtocounter{ketpicctrb}{\value{ketpicctra}}% +\settowidth{\Width}{{\color{#6}\tmpcontentsb}}\setlength{\Width}{-1\Width}% +\settoheight{\Height}{{\color{#6}\tmpcontentsb}}\settodepth{\Depth}{{\color{#6}\tmpcontentsb}}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(\theketpicctrb,-#3){\hspace*{\Width}\raisebox{\Height}{{\color{#6}\tmpcontentsb}}}% +\settowidth{\Width}{{\color{#6}\tmpcontentsb}}\setlength{\Width}{-1\Width}% +\settoheight{\Height}{{\color{#6}\tmpcontentsb}}\settodepth{\Depth}{{\color{#6}\tmpcontentsb}}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(\theketpicctrb,\theketpicctrc){\hspace*{\Width}\raisebox{\Height}{{\color{#6}\tmpcontentsb}}}% +% +\else% +\addtocounter{ketpicctra}{9}% +\setcounter{ketpicctrb}{#2}% +\addtocounter{ketpicctrb}{\value{ketpicctra}}% +\settowidth{\Width}{{\color{#6}\tmpcontents}}\setlength{\Width}{-1\Width}% +\settoheight{\Height}{{\color{#6}\tmpcontents}}\settodepth{\Depth}{{\color{#6}\tmpcontents}}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(\theketpicctrb,-#3){\hspace*{\Width}\raisebox{\Height}{{\color{#6}\tmpcontents}}}% +\settowidth{\Width}{{\color{#6}\tmpcontents}}\setlength{\Width}{-1\Width}% +\settoheight{\Height}{{\color{#6}\tmpcontents}}\settodepth{\Depth}{{\color{#6}\tmpcontents}}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(\theketpicctrb,\theketpicctrc){\hspace*{\Width}\raisebox{\Height}{{\color{#6}\tmpcontents}}}% +% +\fi% +}% +% +\ifnum\theketpicctra<#4% +\repeat% +}% +}% +\def\tmpcontents{% +{\unitlength=1mm% +\begin{picture}% +( 0.02000, 1.00000)( -0.01000, 0.00000)% +\linethickness{0.008in}% +% +% +{% +\ifnum % +#1<10 % +\linethickness{0.00#1 in}% +% +\else% +\linethickness{0.0#1 in}% +% +\fi% +}% +\polyline(0.00000,0.00000)(0.00000,1.00000)% +% +\linethickness{0.008in}% +\end{picture}}%% +}% +\def\tmpcontentsb{% +{\unitlength=0.1mm% +\begin{picture}% +( 0.02000, 1.00000)( -0.01000, 0.00000)% +\linethickness{0.008in}% +% +% +{% +\ifnum % +#1<10 % +\linethickness{0.00#1 in}% +% +\else% +\linethickness{0.0#1 in}% +% +\fi% +}% +\polyline(0.00000,0.00000)(0.00000,1.00000)% +% +\linethickness{0.008in}% +\end{picture}}%% +}% +{\unitlength=0.1mm% +\setcounter{ketpicctrc}{#2}% +\addtocounter{ketpicctrc}{#4}% +\setcounter{ketpicctra}{0}% +\setcounter{ketpicctra}{1}% +\addtocounter{ketpicctra}{-1}% +% +{% +\loop% +\addtocounter{ketpicctra}{1}% +\setcounter{ketpicctrb}{\value{ketpicctra}}% +\addtocounter{ketpicctrb}{9}% +% +{% +\ifnum % +\theketpicctrb>#5 % +\setcounter{ketpicctrb}{-#3}% +\addtocounter{ketpicctrb}{-\value{ketpicctra}}% +\settowidth{\Width}{{\color{#6}\tmpcontentsb}}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{{\color{#6}\tmpcontentsb}}\settodepth{\Depth}{{\color{#6}\tmpcontentsb}}\setlength{\Height}{\Depth}% +\put(#2,\theketpicctrb){\hspace*{\Width}\raisebox{\Height}{{\color{#6}\tmpcontentsb}}}% +\settowidth{\Width}{{\color{#6}\tmpcontentsb}}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{{\color{#6}\tmpcontentsb}}\settodepth{\Depth}{{\color{#6}\tmpcontentsb}}\setlength{\Height}{\Depth}% +\put(\theketpicctrc,\theketpicctrb){\hspace*{\Width}\raisebox{\Height}{{\color{#6}\tmpcontentsb}}}% +% +\else% +\addtocounter{ketpicctra}{9}% +\setcounter{ketpicctrb}{-#3}% +\addtocounter{ketpicctrb}{-\value{ketpicctra}}% +\settowidth{\Width}{{\color{#6}\tmpcontents}}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{{\color{#6}\tmpcontents}}\settodepth{\Depth}{{\color{#6}\tmpcontents}}\setlength{\Height}{\Depth}% +\put(#2,\theketpicctrb){\hspace*{\Width}\raisebox{\Height}{{\color{#6}\tmpcontents}}}% +\settowidth{\Width}{{\color{#6}\tmpcontents}}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{{\color{#6}\tmpcontents}}\settodepth{\Depth}{{\color{#6}\tmpcontents}}\setlength{\Height}{\Depth}% +\put(\theketpicctrc,\theketpicctrb){\hspace*{\Width}\raisebox{\Height}{{\color{#6}\tmpcontents}}}% +% +\fi% +}% +% +\ifnum\theketpicctra<#5% +\repeat% +}% +}% +% +}% +\newcommand{\shadeframep}[6][white]{% +\def\tmpcontents{% +{\unitlength=1mm% +\begin{picture}% +( 100.00000, 100.00000)( 0.00000, 0.00000)% +\linethickness{0.008in}% +% +{\color{#1} +\polygon*(0.00010,0.00010)(99.99990,0.00010)(99.99990,99.99990)(0.00010,99.99990)% +(0.00010,0.00010) +}% +\end{picture}}%% +}% +{\unitlength=0.1mm% +% +{% +\ifnum % +#4<100 % +% +{% +\ifnum % +#5<100 % +\settowidth{\Width}{{\color{#6}\scalebox{0.0#4}[0.0#5]{\tmpcontents}}}\setlength{\Width}{0\Width}% +\settoheight{\Height}{{\color{#6}\scalebox{0.0#4}[0.0#5]{\tmpcontents}}}\settodepth{\Depth}{{\color{#6}\scalebox{0.0#4}[0.0#5]{\tmpcontents}}}\setlength{\Height}{-\Height}% +\put(#2,-#3){\hspace*{\Width}\raisebox{\Height}{{\color{#6}\scalebox{0.0#4}[0.0#5]{\tmpcontents}}}}% +% +\else% +\settowidth{\Width}{{\color{#6}\scalebox{0.0#4}[0.#5]{\tmpcontents}}}\setlength{\Width}{0\Width}% +\settoheight{\Height}{{\color{#6}\scalebox{0.0#4}[0.#5]{\tmpcontents}}}\settodepth{\Depth}{{\color{#6}\scalebox{0.0#4}[0.#5]{\tmpcontents}}}\setlength{\Height}{-\Height}% +\put(#2,-#3){\hspace*{\Width}\raisebox{\Height}{{\color{#6}\scalebox{0.0#4}[0.#5]{\tmpcontents}}}}% +% +\fi% +}% +% +\else% +% +{% +\ifnum % +#4<1000 % +% +{% +\ifnum % +#5<100 % +\settowidth{\Width}{{\color{#6}\scalebox{0.#4}[0.0#5]{\tmpcontents}}}\setlength{\Width}{0\Width}% +\settoheight{\Height}{{\color{#6}\scalebox{0.#4}[0.0#5]{\tmpcontents}}}\settodepth{\Depth}{{\color{#6}\scalebox{0.#4}[0.0#5]{\tmpcontents}}}\setlength{\Height}{-\Height}% +\put(#2,-#3){\hspace*{\Width}\raisebox{\Height}{{\color{#6}\scalebox{0.#4}[0.0#5]{\tmpcontents}}}}% +% +\else% +\settowidth{\Width}{{\color{#6}\scalebox{0.#4}[0.#5]{\tmpcontents}}}\setlength{\Width}{0\Width}% +\settoheight{\Height}{{\color{#6}\scalebox{0.#4}[0.#5]{\tmpcontents}}}\settodepth{\Depth}{{\color{#6}\scalebox{0.#4}[0.#5]{\tmpcontents}}}\setlength{\Height}{-\Height}% +\put(#2,-#3){\hspace*{\Width}\raisebox{\Height}{{\color{#6}\scalebox{0.#4}[0.#5]{\tmpcontents}}}}% +% +\fi% +}% +% +\else% +% +{% +\ifnum % +#5<100 % +\settowidth{\Width}{{\color{#6}\scalebox{1}[0.0#5]{\tmpcontents}}}\setlength{\Width}{0\Width}% +\settoheight{\Height}{{\color{#6}\scalebox{1}[0.0#5]{\tmpcontents}}}\settodepth{\Depth}{{\color{#6}\scalebox{1}[0.0#5]{\tmpcontents}}}\setlength{\Height}{-\Height}% +\put(#2,-#3){\hspace*{\Width}\raisebox{\Height}{{\color{#6}\scalebox{1}[0.0#5]{\tmpcontents}}}}% +\setcounter{ketpicctra}{#2}% +\addtocounter{ketpicctra}{#4}% +\settowidth{\Width}{{\color{#6}\scalebox{1}[0.0#5]{\tmpcontents}}}\setlength{\Width}{-1\Width}% +\settoheight{\Height}{{\color{#6}\scalebox{1}[0.0#5]{\tmpcontents}}}\settodepth{\Depth}{{\color{#6}\scalebox{1}[0.0#5]{\tmpcontents}}}\setlength{\Height}{-\Height}% +\put(\theketpicctra,-#3){\hspace*{\Width}\raisebox{\Height}{{\color{#6}\scalebox{1}[0.0#5]{\tmpcontents}}}}% +% +\else% +\settowidth{\Width}{{\color{#6}\scalebox{1}[0.#5]{\tmpcontents}}}\setlength{\Width}{0\Width}% +\settoheight{\Height}{{\color{#6}\scalebox{1}[0.#5]{\tmpcontents}}}\settodepth{\Depth}{{\color{#6}\scalebox{1}[0.#5]{\tmpcontents}}}\setlength{\Height}{-\Height}% +\put(#2,-#3){\hspace*{\Width}\raisebox{\Height}{{\color{#6}\scalebox{1}[0.#5]{\tmpcontents}}}}% +\setcounter{ketpicctra}{#2}% +\addtocounter{ketpicctra}{#4}% +\settowidth{\Width}{{\color{#6}\scalebox{1}[0.#5]{\tmpcontents}}}\setlength{\Width}{-1\Width}% +\settoheight{\Height}{{\color{#6}\scalebox{1}[0.#5]{\tmpcontents}}}\settodepth{\Depth}{{\color{#6}\scalebox{1}[0.#5]{\tmpcontents}}}\setlength{\Height}{-\Height}% +\put(\theketpicctra,-#3){\hspace*{\Width}\raisebox{\Height}{{\color{#6}\scalebox{1}[0.#5]{\tmpcontents}}}}% +% +\fi% +}% +% +\fi% +}% +% +\fi% +}% +}% +% +}% +\newcommand{\popframe}[9][8]{% +{\unitlength=0.1mm% +\ketcalcwidth{#9}% +\setcounter{ketpicctrh}{\value{ketpicctra}}% +\ketcalcheight{#9}% +\setcounter{ketpicctri}{\value{ketpicctra}}% +\ketcalcdepth{#9}% +\addtocounter{ketpicctri}{\value{ketpicctra}}% +\addtocounter{ketpicctrh}{30}% +\addtocounter{ketpicctri}{30}% +\setcounter{ketpicctrf}{#2}% +\multiply\value{ketpicctrf} by 10% +\addtocounter{ketpicctrf}{15}% +\setcounter{ketpicctrg}{#3}% +\multiply\value{ketpicctrg} by 10% +\addtocounter{ketpicctrg}{15}% +\shadeframep[#5]{\theketpicctrf}{\theketpicctrg}{\theketpicctrh}{\theketpicctri}{#5}% +\setcounter{ketpicctrf}{#2}% +\multiply\value{ketpicctrf} by 10% +\setcounter{ketpicctrg}{#3}% +\multiply\value{ketpicctrg} by 10% +\shadeframep[#7]{\theketpicctrf}{\theketpicctrg}{\theketpicctrh}{\theketpicctri}{#7}% +\boxlinep[#1]{\theketpicctrf}{\theketpicctrg}{\theketpicctrh}{\theketpicctri}{#8}% +\addtocounter{ketpicctrf}{15}% +\setcounter{ketpicctra}{\value{ketpicctri}}% +\divide\value{ketpicctra} by 2% +\addtocounter{ketpicctrg}{\value{ketpicctra}}% +\multiply\value{ketpicctrg} by -1% +\settowidth{\Width}{{#9}}\setlength{\Width}{0\Width}% +\settoheight{\Height}{{#9}}\settodepth{\Depth}{{#9}}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(\theketpicctrf,\theketpicctrg){\hspace*{\Width}\raisebox{\Height}{{#9}}}% +}% +% +}% +\newcommand{\colorframe}[7][8]{% +{\unitlength=0.1mm% +\ketcalcwidth{#7}% +\setcounter{ketpicctrh}{\value{ketpicctra}}% +\ketcalcheight{#7}% +\setcounter{ketpicctri}{\value{ketpicctra}}% +\ketcalcdepth{#7}% +\addtocounter{ketpicctri}{\value{ketpicctra}}% +\addtocounter{ketpicctrh}{30}% +\addtocounter{ketpicctri}{30}% +\setcounter{ketpicctrf}{#2}% +\multiply\value{ketpicctrf} by 10% +\setcounter{ketpicctrg}{#3}% +\multiply\value{ketpicctrg} by 10% +\shadeframep[#4]{\theketpicctrf}{\theketpicctrg}{\theketpicctrh}{\theketpicctri}{#5}% +\boxlinep[#1]{\theketpicctrf}{\theketpicctrg}{\theketpicctrh}{\theketpicctri}{#6}% +\addtocounter{ketpicctrf}{15}% +\setcounter{ketpicctra}{\value{ketpicctri}}% +\divide\value{ketpicctra} by 2% +\addtocounter{ketpicctrg}{\value{ketpicctra}}% +\multiply\value{ketpicctrg} by -1% +\settowidth{\Width}{{#7}}\setlength{\Width}{0\Width}% +\settoheight{\Height}{{#7}}\settodepth{\Depth}{{#7}}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(\theketpicctrf,\theketpicctrg){\hspace*{\Width}\raisebox{\Height}{{#7}}}% +}% +% +}% +\newcommand{\colorframes}[7][8]{% +{\unitlength=0.1mm% +\ketcalcwidth{#7}% +\setcounter{ketpicctrh}{\value{ketpicctra}}% +\ketcalcheight{#7}% +\setcounter{ketpicctri}{\value{ketpicctra}}% +\ketcalcdepth{#7}% +\addtocounter{ketpicctri}{\value{ketpicctra}}% +\addtocounter{ketpicctrh}{30}% +\addtocounter{ketpicctri}{30}% +\setcounter{ketpicctrf}{#2}% +\multiply\value{ketpicctrf} by 10% +\setcounter{ketpicctra}{\value{ketpicctrh}}% +\divide\value{ketpicctra} by 2% +\addtocounter{ketpicctrf}{-\value{ketpicctra}}% +\setcounter{ketpicctrg}{#3}% +\multiply\value{ketpicctrg} by 10% +\shadeframep[#5]{\theketpicctrf}{\theketpicctrg}{\theketpicctrh}{\theketpicctri}{#5}% +\boxlinep[#1]{\theketpicctrf}{\theketpicctrg}{\theketpicctrh}{\theketpicctri}{#6}% +\addtocounter{ketpicctrf}{15}% +\setcounter{ketpicctra}{\value{ketpicctri}}% +\divide\value{ketpicctra} by 2% +\addtocounter{ketpicctrg}{\value{ketpicctra}}% +\multiply\value{ketpicctrg} by -1% +\settowidth{\Width}{{#7}}\setlength{\Width}{0\Width}% +\settoheight{\Height}{{#7}}\settodepth{\Depth}{{#7}}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(\theketpicctrf,\theketpicctrg){\hspace*{\Width}\raisebox{\Height}{{#7}}}% +}% +% +}% diff --git a/Master/texmf-dist/tex/latex/ketcindy/ketmedia.sty b/Master/texmf-dist/tex/latex/ketcindy/ketmedia.sty new file mode 100644 index 00000000000..aa6eecac873 --- /dev/null +++ b/Master/texmf-dist/tex/latex/ketcindy/ketmedia.sty @@ -0,0 +1,108 @@ +\newcommand{\inputsound}[3][90]{ +% 20180305 changed +% 20180317 changed +\def\soundbuttona{\color{blue}\small\fbox{\strut$\oplus\triangleright$}} +\def\soundbuttonb{\color{blue}\small\fbox{\strut$\ll$}} +{\unitlength=1pt +\ketcalcwidth[0]{\soundbuttona} +\setcounter{ketpicctrb}{\theketpicctra} +\ketcalcwidth[0]{\soundbuttonb} +\addtocounter{ketpicctrb}{\theketpicctra} +\addtocounter{ketpicctrb}{20} + +\noindent +\hspace*{#1mm}\hspace{20pt}% +\mediabutton[ +mediacommand=#3:playPause, +overface={\soundbuttona}%, +%downface={\color{red}\strut Pause/Pause}% +]{\soundbuttona}% +\mediabutton[ +mediacommand=#3:rewind, +overface={\soundbuttonb} +%downface={\color{red}\strut Pause/Pause}% +]{\soundbuttonb}% +\hspace{-\theketpicctrb pt}% +\includemedia[ + label=#3, + addresource=#2#3.mp3, + activate=pageopen, + flashvars={ + source=#2#3.mp3 + &autoPlay=true + } +% transparent, +% passcontext +]{\color{blue}\small\fbox{\Ctab{15pt}{\strut}}}{APlayer.swf} +}} + +\newcommand{\inputsoundclick}[3][90]{ +% 20180317 added +\def\soundbuttona{\color{blue}\small\fbox{\strut$\oplus\triangleright$}} +\def\soundbuttonb{\color{blue}\small\fbox{\strut$\ll$}} +{\unitlength=1pt +\ketcalcwidth[0]{\soundbuttona} +\setcounter{ketpicctrb}{\theketpicctra} +\ketcalcwidth[0]{\soundbuttonb} +\addtocounter{ketpicctrb}{\theketpicctra} +\addtocounter{ketpicctrb}{20} + +\noindent +\hspace*{#1mm}\hspace{20pt}% +\mediabutton[ +mediacommand=#3:playPause, +overface={\soundbuttona}%, +%downface={\color{red}\strut Pause/Pause}% +]{\soundbuttona}% +\mediabutton[ +mediacommand=#3:rewind, +overface={\soundbuttonb} +%downface={\color{red}\strut Pause/Pause}% +]{\soundbuttonb}% +\hspace{-\theketpicctrb pt}% +\includemedia[ + label=#3, + addresource=#2#3.mp3, + activate=onclick, + flashvars={ + source=#2#3.mp3 + &autoPlay=true + } +% transparent, +% passcontext +]{\color{blue}\small\fbox{\Ctab{15pt}{\strut}}}{APlayer.swf} +}} + +\newcommand{\inputmovie}[5][90]{ +% 20180306 changed +% width,height,dir,name +\def\soundbuttona{\small\fbox{\strut$\oplus\triangleright$}} +\def\soundbuttonb{\small\fbox{\strut$\ll$}} + +\hspace*{#1 mm}\mediabutton[ + mediacommand=#5:playPause, + overface={\color{blue}\soundbuttona}, + downface={\color{red}\soundbuttona} +]{\fbox{\soundbuttona}} +\mediabutton[ + mediacommand=#5:rewind, + overface={\color{blue}\soundbuttonb}, + downface={\color{red}\soundbuttonb} +]{\fbox{\soundbuttonb}} + +\includemedia[ + label=#5, + width=#2\linewidth,totalheight=#3\linewidth, + activate=pageopen, + addresource=#4#5.mp4, + flashvars={ + source=#4#5.mp4 +% &showloading=never +% &autoRewind=true + &autoplay=true +% &loop=1 +% &buffer=0.2 + } +]{}{VPlayer.swf} + +}
\ No newline at end of file diff --git a/Master/texmf-dist/tex/latex/ketcindy/ketpic.sty b/Master/texmf-dist/tex/latex/ketcindy/ketpic.sty new file mode 100644 index 00000000000..b0555f7bfb6 --- /dev/null +++ b/Master/texmf-dist/tex/latex/ketcindy/ketpic.sty @@ -0,0 +1,825 @@ +%Copyright (C) 2014 Setsuo Takato, KETpic developer team +%* +%* This program is free software: you can redistribute it and/or modify +%* it under the terms of the GNU General Public License as published by +%* the Free Software Foundation; either version 3 of the License, or +%* (at your option) any later version. +%* +%* This program is distributed in the hope that it will be useful, +%* but WITHOUT ANY WARRANTY; without even the implied warranty of +%* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the +%* GNU General Public License for more details. +%* +%* You should have received a copy of the GNU General Public License +%* along with this program. If not, see <http://www.gnu.org/licenses/> +%%% ketpic.sty +% 2016.12.08 +% NEarrow, ..., SELarrow,... added +% argument ( option ) = size +% 2016.04.07 +% ketcindy, selarrow, serarrow, nelarrow, nerarrow +% 2010.09.17 % +% +\newcounter{ketpicctra}% +\newcounter{ketpicctrb}% +\newcounter{ketpicctrc}% +\newcounter{ketpicctrd}% +\newcounter{ketpicctre}% +\newcounter{ketpicctrf}% +\newcounter{ketpicctrg}% +\newcounter{ketpicctrh}% +\newcounter{ketpicctri}% +\newcounter{ketpicctrj}% +\def\ketpic{% +{K\kern-.20em\lower.5ex\hbox{E}\kern-.125em{Tpic}}% +% +}% +\def\ketcindy{{K\kern-.20em% +\lower.5ex\hbox{E}\kern-.125em{TCindy}}}% +\def\KeTpic{\ketpic}% +\def\KeTCindy{\ketcindy}% +\newlength{\Width}% +\newlength{\Height}% +\newlength{\Depth}% +\newcommand{\Ltab}[2]{% +\settowidth{\Width}{#2}% +\setlength{\Width}{-\Width}% +\addtolength{\Width}{#1}% +#2\hspace{\Width}\mbox{}% +% +}% +\newcommand{\Rtab}[2]{% +\settowidth{\Width}{#2}% +\setlength{\Width}{-\Width}% +\addtolength{\Width}{#1}% +\hspace*{\Width}#2\mbox{}% +% +}% +\newcommand{\Ctab}[2]{% +\settowidth{\Width}{#2}% +\setlength{\Width}{-\Width}% +\addtolength{\Width}{#1}% +\setlength{\Width}{0.5\Width}% +\hspace*{\Width}#2\hspace{\Width}\mbox{}% +% +}% +\newcommand{\vbackward}[1]{% +\settoheight{\Height}{#1}% +\vspace*{-\Height}% +% +}% +\newcommand{\vforward}[1]{% +\settoheight{\Height}{#1}% +\vspace*{\Height}% +% +}% +\newcommand{\usepack}{% +\usepackage{amsmath,amssymb}% +\usepackage{graphicx}% +\usepackage{color}% +% +}% +\newcommand{\setmargin}[4]{% +\setlength{\oddsidemargin}{-25.4mm}% +\addtolength{\oddsidemargin}{#1 mm}% +\setlength{\textwidth}{\paperwidth}% +\addtolength{\textwidth}{-#1 mm}% +\addtolength{\textwidth}{-#2 mm}% +\setlength{\headheight}{0mm}% +\setlength{\headsep}{0mm}% +\setlength{\topmargin}{-25.4mm}% +\addtolength{\topmargin}{#3 mm}% +\setlength{\textheight}{\paperheight}% +\addtolength{\textheight}{-#3 mm}% +\addtolength{\textheight}{-#4 mm}% +% +}% +\newcommand{\ketcalcwidth}[2][0]{% +\settowidth{\Depth}{#2}% +\setlength{\Width}{0\unitlength}% +\setcounter{ketpicctra}{0}% +\setcounter{ketpicctra}{1}% +\addtocounter{ketpicctra}{-1}% +% +{% +\loop% +\addtocounter{ketpicctra}{1}% +\addtolength{\Width}{\unitlength}% +% +{% +\ifdim % +\Width>\Depth % +\addtocounter{ketpicctra}{6000}% +% +\fi% +}% +% +\ifnum\theketpicctra<5000% +\repeat% +}% +\addtocounter{ketpicctra}{-6000}% +% +{% +\ifnum % +#1>0 % +\theketpicctra% +% +\fi% +}% +% +}% +\newcommand{\ketcalcheight}[2][0]{% +\settoheight{\Depth}{#2}% +\setlength{\Height}{0\unitlength}% +\setcounter{ketpicctra}{0}% +\setcounter{ketpicctra}{1}% +\addtocounter{ketpicctra}{-1}% +% +{% +\loop% +\addtocounter{ketpicctra}{1}% +\addtolength{\Height}{\unitlength}% +% +{% +\ifdim % +\Height>\Depth % +\addtocounter{ketpicctra}{6000}% +% +\fi% +}% +% +\ifnum\theketpicctra<5000% +\repeat% +}% +\addtocounter{ketpicctra}{-6000}% +% +{% +\ifnum % +#1>0 % +\theketpicctra% +% +\fi% +}% +% +}% +\newcommand{\ketcalcdepth}[2][0]{% 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+\special{sh 1}\special{ip}% +\special{pn 1}% +\special{pa 68 -48}\special{pa 111 -28}\special{pa 91 -70}\special{pa 86 -53}\special{pa 68 -48}% +\special{pa 111 -28}% +\special{fp}% +\special{pn 8}% +\end{picture}}%% +}% +% +}% +% +}% +\newcommand{\NWarrow}[1][1]{% +\scalebox{#1}{\raisebox{-2.5pt}{% +{\unitlength=1pt% +\begin{picture}% +( 10.00000, 10.00000)( 0.00000, 0.00000)% +\special{pn 8}% +% +\special{pa 111 -28}\special{pa 42 -97}% +\special{fp}% +\special{pa 70 -91}\special{pa 28 -111}\special{pa 48 -68}\special{pa 53 -86}\special{pa 70 -91}% +\special{sh 1}\special{ip}% +\special{pn 1}% +\special{pa 70 -91}\special{pa 28 -111}\special{pa 48 -68}\special{pa 53 -86}\special{pa 70 -91}% +\special{pa 28 -111}% +\special{fp}% +\special{pn 8}% +\end{picture}}%% +}% +% +}% +% +}% +\newcommand{\SWarrow}[1][1]{% +\scalebox{#1}{\raisebox{-2.5pt}{% +{\unitlength=1pt% +\begin{picture}% +( 10.00000, 10.00000)( 0.00000, 0.00000)% +\special{pn 8}% +% +\special{pa 111 -111}\special{pa 42 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114 -75}\special{pa 101 -62}\special{pa 83 -66}% +\special{pa 111 -28}% +\special{fp}% +\special{pn 8}% +\end{picture}}%% +}% +% +}% +% +}% +\newcommand{\SWRarrow}[1][1]{% +\scalebox{#1}{\raisebox{-2.5pt}{% +{\unitlength=1pt% +\begin{picture}% +( 10.00000, 10.00000)( 0.00000, 0.00000)% +\special{pn 8}% +% +\special{pa 44 -29}\special{pa 50 -31}\special{pa 55 -32}\special{pa 60 -34}\special{pa 66 -37}% +\special{pa 71 -40}\special{pa 75 -43}\special{pa 80 -46}\special{pa 84 -50}\special{pa 88 -54}% +\special{pa 92 -58}\special{pa 95 -63}\special{pa 99 -67}\special{pa 101 -72}\special{pa 104 -78}% +\special{pa 106 -83}\special{pa 108 -88}\special{pa 109 -94}\special{pa 110 -99}\special{pa 111 -105}% +\special{pa 111 -111}% +\special{fp}% +\special{pa 67 -55}\special{pa 28 -28}\special{pa 75 -24}\special{pa 62 -37}\special{pa 67 -55}% +\special{sh 1}\special{ip}% +\special{pn 1}% +\special{pa 67 -55}\special{pa 28 -28}\special{pa 75 -24}\special{pa 62 -37}\special{pa 67 -55}% +\special{pa 28 -28}% +\special{fp}% +\special{pn 8}% +\end{picture}}%% +}% +% +}% +% +}% +\newcommand{\SWLarrow}[1][1]{% +\scalebox{#1}{\raisebox{-2.5pt}{% +{\unitlength=1pt% +\begin{picture}% +( 10.00000, 10.00000)( 0.00000, 0.00000)% +\special{pn 8}% +% +\special{pa 111 -111}\special{pa 105 -111}\special{pa 99 -110}\special{pa 94 -109}% +\special{pa 88 -108}\special{pa 83 -106}\special{pa 78 -104}\special{pa 72 -101}\special{pa 67 -99}% +\special{pa 63 -95}\special{pa 58 -92}\special{pa 54 -88}\special{pa 50 -84}\special{pa 46 -80}% +\special{pa 43 -75}\special{pa 40 -71}\special{pa 37 -66}\special{pa 34 -60}\special{pa 32 -55}% +\special{pa 31 -50}\special{pa 29 -44}% +\special{fp}% +\special{pa 24 -75}\special{pa 28 -28}\special{pa 55 -66}\special{pa 37 -62}\special{pa 24 -75}% +\special{sh 1}\special{ip}% +\special{pn 1}% +\special{pa 24 -75}\special{pa 28 -28}\special{pa 55 -66}\special{pa 37 -62}\special{pa 24 -75}% +\special{pa 28 -28}% +\special{fp}% +\special{pn 8}% +\end{picture}}%% +}% +% +}% +% +}% +\newcommand{\NWRarrow}[1][1]{% +\scalebox{#1}{\raisebox{-2.5pt}{% +{\unitlength=1pt% +\begin{picture}% +( 10.00000, 10.00000)( 0.00000, 0.00000)% +\special{pn 8}% +% +\special{pa 29 -94}\special{pa 31 -89}\special{pa 32 -83}\special{pa 34 -78}\special{pa 37 -73}% +\special{pa 40 -68}\special{pa 43 -63}\special{pa 46 -59}\special{pa 50 -54}\special{pa 54 -50}% +\special{pa 58 -46}\special{pa 63 -43}\special{pa 67 -40}\special{pa 72 -37}\special{pa 78 -35}% +\special{pa 83 -33}\special{pa 88 -31}\special{pa 94 -29}\special{pa 99 -28}\special{pa 105 -28}% +\special{pa 111 -28}% +\special{fp}% +\special{pa 55 -72}\special{pa 28 -111}\special{pa 24 -64}\special{pa 37 -76}\special{pa 55 -72}% +\special{sh 1}\special{ip}% +\special{pn 1}% +\special{pa 55 -72}\special{pa 28 -111}\special{pa 24 -64}\special{pa 37 -76}\special{pa 55 -72}% +\special{pa 28 -111}% +\special{fp}% +\special{pn 8}% +\end{picture}}%% +}% +% +}% +% +}% +\newcommand{\NWLarrow}[1][1]{% +\scalebox{#1}{\raisebox{-2.5pt}{% +{\unitlength=1pt% +\begin{picture}% +( 10.00000, 10.00000)( 0.00000, 0.00000)% +\special{pn 8}% +% +\special{pa 111 -28}\special{pa 111 -33}\special{pa 110 -39}\special{pa 109 -45}\special{pa 108 -50}% +\special{pa 106 -56}\special{pa 104 -61}\special{pa 101 -66}\special{pa 99 -71}\special{pa 95 -76}% +\special{pa 92 -80}\special{pa 88 -85}\special{pa 84 -89}\special{pa 80 -92}\special{pa 75 -96}% +\special{pa 71 -99}\special{pa 66 -102}\special{pa 60 -104}\special{pa 55 -106}\special{pa 50 -108}% +\special{pa 44 -109}% +\special{fp}% +\special{pa 75 -115}\special{pa 28 -111}\special{pa 67 -84}\special{pa 62 -102}\special{pa 75 -115}% +\special{sh 1}\special{ip}% +\special{pn 1}% +\special{pa 75 -115}\special{pa 28 -111}\special{pa 67 -84}\special{pa 62 -102}\special{pa 75 -115}% +\special{pa 28 -111}% +\special{fp}% +\special{pn 8}% +\end{picture}}%% +}% +% +}% +% +}% diff --git a/Master/texmf-dist/tex/latex/ketcindy/ketpic2e.sty b/Master/texmf-dist/tex/latex/ketcindy/ketpic2e.sty new file mode 100644 index 00000000000..b9b3d3ea31a --- /dev/null +++ b/Master/texmf-dist/tex/latex/ketcindy/ketpic2e.sty @@ -0,0 +1,680 @@ +%Copyright (C) 2014 Setsuo Takato, KETpic developer team +%* +%* This program is free software: you can redistribute it and/or modify +%* it under the terms of the GNU General Public License as published by +%* the Free Software Foundation; either version 3 of the License, or +%* (at your option) any later version. +%* +%* This program is distributed in the hope that it will be useful, +%* but WITHOUT ANY WARRANTY; without even the implied warranty of +%* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the +%* GNU General Public License for more details. +%* +%* You should have received a copy of the GNU General Public License +%* along with this program. If not, see <http://www.gnu.org/licenses/> +% 2016.12.08 +% NEarrow,..., NERarrow,... added +% argument(option)=size +% 2016.04.07 +% ketcindy, selarrow, serarrow, nelarrow, nerarrow +% 2010.09.17 % +% +\newcounter{ketpicctra}% +\newcounter{ketpicctrb}% +\newcounter{ketpicctrc}% +\newcounter{ketpicctrd}% +\newcounter{ketpicctre}% +\newcounter{ketpicctrf}% +\newcounter{ketpicctrg}% +\newcounter{ketpicctrh}% +\newcounter{ketpicctri}% +\newcounter{ketpicctrj}% +\def\ketpic{% +{K\kern-.20em\lower.5ex\hbox{E}\kern-.125em{Tpic}}% +% +}% +\def\ketcindy{{K\kern-.20em% +\lower.5ex\hbox{E}\kern-.125em{TCindy}}}% +\def\KeTpic{\ketpic}% +\def\KeTCindy{\ketcindy}% +\newlength{\Width}% +\newlength{\Height}% +\newlength{\Depth}% +\newcommand{\Ltab}[2]{% +\settowidth{\Width}{#2}% +\setlength{\Width}{-\Width}% +\addtolength{\Width}{#1}% +#2\hspace{\Width}\mbox{}% +% +}% +\newcommand{\Rtab}[2]{% +\settowidth{\Width}{#2}% +\setlength{\Width}{-\Width}% +\addtolength{\Width}{#1}% +\hspace*{\Width}#2\mbox{}% +% +}% +\newcommand{\Ctab}[2]{% +\settowidth{\Width}{#2}% +\setlength{\Width}{-\Width}% +\addtolength{\Width}{#1}% +\setlength{\Width}{0.5\Width}% +\hspace*{\Width}#2\hspace{\Width}\mbox{}% +% +}% +\newcommand{\vbackward}[1]{% +\settoheight{\Height}{#1}% +\vspace*{-\Height}% +% +}% +\newcommand{\vforward}[1]{% +\settoheight{\Height}{#1}% +\vspace*{\Height}% +% +}% +\newcommand{\usepack}{% +\usepackage{amsmath,amssymb}% +\usepackage{graphicx}% +\usepackage{color}% +% +}% +\newcommand{\setmargin}[4]{% +\setlength{\oddsidemargin}{-25.4mm}% +\addtolength{\oddsidemargin}{#1 mm}% +\setlength{\textwidth}{\paperwidth}% +\addtolength{\textwidth}{-#1 mm}% +\addtolength{\textwidth}{-#2 mm}% +\setlength{\headheight}{0mm}% +\setlength{\headsep}{0mm}% +\setlength{\topmargin}{-25.4mm}% +\addtolength{\topmargin}{#3 mm}% +\setlength{\textheight}{\paperheight}% +\addtolength{\textheight}{-#3 mm}% +\addtolength{\textheight}{-#4 mm}% +% +}% +\newcommand{\ketcalcwidth}[2][0]{% 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b/Master/texmf-dist/tex/latex/ketcindy/ketslide.sty new file mode 100644 index 00000000000..b8ec630beaf --- /dev/null +++ b/Master/texmf-dist/tex/latex/ketcindy/ketslide.sty @@ -0,0 +1,151 @@ +%Copyright (C) 2014 Setsuo Takato, KETpic developer team +%* +%* This program is free software: you can redistribute it and/or modify +%* it under the terms of the GNU General Public License as published by +%* the Free Software Foundation; either version 3 of the License, or +%* (at your option) any later version. +%* +%* This program is distributed in the hope that it will be useful, +%* but WITHOUT ANY WARRANTY; without even the implied warranty of +%* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the +%* GNU General Public License for more details. +%* +%* You should have received a copy of the GNU General Public License +%* along with this program. If not, see <http://www.gnu.org/licenses/> +%%% ketslide.sty 2017-1-9 11:50 +%%% ketslide170109.sce 2017-1-9 11:50 +% 2017.01.09 ketslide% +% \documentclass[landscape,10pt]{jarticle}% +% or \documentclass[landscape,10pt]{article}% +%\special{papersize=297mm,210mm}% +\mag=2000% +\newcommand{\ketmarginJ}{% +\setmargin{25}{150}{15}{110}% +% +}% +\newcommand{\ketmarginE}{% +\setmargin{25}{135}{15}{115}% +% +}% +\newcommand{\ketslideinit}{% +\definecolor{ketshadowclr}{cmyk}{0,0,0,0.5}% +\def\ketcletter{black}% +\def\ketcbox{black}% +\def\ketdbox{}% +\def\ketcframe{black}% +\def\ketcshadow{ketshadowclr}% +\def\ketdshadow{}% +\def\ketslidew{130}% +\def\slidetitlex{6}% +\def\slidetitlesize{2}% +\def\mketcletter{black}% +\def\mketcbox{white}% +\def\mketdbox{}% +\def\mketcframe{white}% +\def\mslidetitlex{62}% +\def\mslidetitlesize{3}% +% +}% +\newcommand{\newnewslide}[2][7]{% +\def\slidetitle{{\color{\ketcletter}#2}}% +{\unitlength=1mm% +\ketcalcwidth{#2}% +}% +% +{% +\ifnum % +\theketpicctra>1 % +\begin{layer}{\ketslidew}{0}% +\popframe{\slidetitlex}{#1}% +{\ketdshadow}{\ketcshadow}% +{\ketdbox}{\ketcbox}{\ketcframe}% +{\scalebox{\slidetitlesize}{\slidetitle}}% +\end{layer}% +% +\fi% +}% +% +}% +\newcommand{\newslide}[2][7]{% +\newpage% +\def\slidetitle{{\color{\ketcletter}#2}}% +{\unitlength=1mm% +\ketcalcwidth{#2}% +}% +% +{% +\ifnum % +\theketpicctra>1 % +\begin{layer}{\ketslidew}{0}% +\popframe{\slidetitlex}{#1}% +{\ketdshadow}{\ketcshadow}% +{\ketdbox}{\ketcbox}{\ketcframe}% +{\scalebox{\slidetitlesize}{\slidetitle}}% +\end{layer}% +% +\fi% +}% +% +}% +\newcommand{\sameslide}[1][7]{% +\newpage% +\addtocounter{page}{-1}% +\ketcalcwidth{\slidetitle}% +{\unitlength=1mm% +\ketcalcwidth{\slidetitle}% +}% +% +{% +\ifnum % +\theketpicctra>1 % +\begin{layer}{\ketslidew}{0}% +\popframe{\slidetitlex}{#1}% +{\ketdshadow}{\ketcshadow}% +{\ketdbox}{\ketcbox}{\ketcframe}% +{\scalebox{\slidetitlesize}{\slidetitle}}% +\end{layer}% +% +\fi% +}% +% +}% +\newcommand{\mainslide}[2][35]{% +\newpage% +\def\slidetitle{{\color{\mketcletter}#2}}% +{\unitlength=1mm% +\ketcalcwidth{#2}% +}% +% +{% +\ifnum % +\theketpicctra>1 % +\begin{layer}{\ketslidew}{0}% +\colorframes{\mslidetitlex}{#1}% +{\mketdbox}{\mketcbox}{\mketcframe}% +{\scalebox{\mslidetitlesize}{\slidetitle}}% +\end{layer}% +% +\fi% +}% +% +}% +\newcommand{\mainsameslide}[1][35]{% +\newpage% +\addtocounter{page}{-1}% +{\unitlength=1mm% +\ketcalcwidth{\slidetitle}% +}% +% +{% +\ifnum % +\theketpicctra>1 % +\begin{layer}{\ketslidew}{0}% +\colorframes{\mslidetitlex}{#1}% +{\mketdbox}{\mketcbox}{\mketcframe}% +{\scalebox{\mslidetitlesize}{\slidetitle}}% +\end{layer}% +% +\fi% +}% +% +}% diff --git a/Master/texmf-dist/tex/latex/ketcindy/ketslide2.sty b/Master/texmf-dist/tex/latex/ketcindy/ketslide2.sty new file mode 100644 index 00000000000..d6929592e74 --- /dev/null +++ b/Master/texmf-dist/tex/latex/ketcindy/ketslide2.sty @@ -0,0 +1,151 @@ +%Copyright (C) 2014 Setsuo Takato, KETpic developer team +%* +%* This program is free software: you can redistribute it and/or modify +%* it under the terms of the GNU General Public License as published by +%* the Free Software Foundation; either version 3 of the License, or +%* (at your option) any later version. +%* +%* This program is distributed in the hope that it will be useful, +%* but WITHOUT ANY WARRANTY; without even the implied warranty of +%* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the +%* GNU General Public License for more details. +%* +%* You should have received a copy of the GNU General Public License +%* along with this program. If not, see <http://www.gnu.org/licenses/> +%%% ketslide.sty 2017-1-9 11:50 +%%% ketslide170109.sce 2017-1-9 11:50 +% 2017.01.09 ketslide% +% \documentclass[landscape,10pt]{jarticle}% +% or \documentclass[landscape,10pt]{article}% +%\special{papersize=297mm,210mm}% +\mag=2000% +\newcommand{\ketmarginJ}{% +\setmargin{25}{150}{15}{110}% +% +}% +\newcommand{\ketmarginE}{% +\setmargin{25}{135}{15}{115}% +% +}% +\newcommand{\ketslideinit}{% +\definecolor{ketshadowclr}{cmyk}{0,0,0,0.5}% +\def\ketcletter{black}% +\def\ketcbox{black}% +\def\ketdbox{}% +\def\ketcframe{black}% +\def\ketcshadow{ketshadowclr}% +\def\ketdshadow{}% +\def\ketslidew{130}% +\def\slidetitlex{6}% +\def\slidetitlesize{2}% +\def\mketcletter{black}% +\def\mketcbox{white}% +\def\mketdbox{}% +\def\mketcframe{white}% +\def\mslidetitlex{62}% +\def\mslidetitlesize{3}% +% +}% +\newcommand{\newnewslide}[2][7]{% +\def\slidetitle{{\color{\ketcletter}#2}}% +{\unitlength=1mm% +\ketcalcwidth{#2}% +}% +% +{% +\ifnum % +\theketpicctra>1 % +\begin{layer}{\ketslidew}{0}% +\popframe{\slidetitlex}{#1}% +{\ketdshadow}{\ketcshadow}% +{\ketdbox}{\ketcbox}{\ketcframe}% +{\scalebox{\slidetitlesize}{\slidetitle}}% +\end{layer}% +% +\fi% +}% +% +}% +\newcommand{\newslide}[2][7]{% +%\newpage% +\def\slidetitle{{\color{\ketcletter}#2}}% +{\unitlength=1mm% +\ketcalcwidth{#2}% +}% +% +{% +\ifnum % +\theketpicctra>1 % +\begin{layer}{\ketslidew}{0}% +\popframe{\slidetitlex}{#1}% +{\ketdshadow}{\ketcshadow}% +{\ketdbox}{\ketcbox}{\ketcframe}% +{\scalebox{\slidetitlesize}{\slidetitle}}% +\end{layer}% +% +\fi% +}% +% +}% +\newcommand{\sameslide}[1][7]{% +%\newpage% +\addtocounter{page}{-1}% +\ketcalcwidth{\slidetitle}% +{\unitlength=1mm% +\ketcalcwidth{\slidetitle}% +}% +% +{% +\ifnum % +\theketpicctra>1 % +\begin{layer}{\ketslidew}{0}% +\popframe{\slidetitlex}{#1}% +{\ketdshadow}{\ketcshadow}% +{\ketdbox}{\ketcbox}{\ketcframe}% +{\scalebox{\slidetitlesize}{\slidetitle}}% +\end{layer}% +% +\fi% +}% +% +}% +\newcommand{\mainslide}[2][35]{% +%\newpage% +\def\slidetitle{{\color{\mketcletter}#2}}% +{\unitlength=1mm% +\ketcalcwidth{#2}% +}% +% +{% +\ifnum % +\theketpicctra>1 % +\begin{layer}{\ketslidew}{0}% +\colorframes{\mslidetitlex}{#1}% +{\mketdbox}{\mketcbox}{\mketcframe}% +{\scalebox{\mslidetitlesize}{\slidetitle}}% +\end{layer}% +% +\fi% +}% +% +}% +\newcommand{\mainsameslide}[1][35]{% +%\newpage% +\addtocounter{page}{-1}% +{\unitlength=1mm% +\ketcalcwidth{\slidetitle}% +}% +% +{% +\ifnum % +\theketpicctra>1 % +\begin{layer}{\ketslidew}{0}% +\colorframes{\mslidetitlex}{#1}% +{\mketdbox}{\mketcbox}{\mketcframe}% +{\scalebox{\mslidetitlesize}{\slidetitle}}% +\end{layer}% +% +\fi% +}% +% +}% diff --git a/Master/tlpkg/tlpsrc/ketcindy.tlpsrc b/Master/tlpkg/tlpsrc/ketcindy.tlpsrc new file mode 100644 index 00000000000..403a3ef6709 --- /dev/null +++ b/Master/tlpkg/tlpsrc/ketcindy.tlpsrc @@ -0,0 +1 @@ +binpattern f bin/${ARCH}/ketcindy |