diff options
| author | Karl Berry <karl@freefriends.org> | 2019-02-03 22:44:58 +0000 |
|---|---|---|
| committer | Karl Berry <karl@freefriends.org> | 2019-02-03 22:44:58 +0000 |
| commit | 2dcfe2f07af05124d5ebee4672d67d7eeae7af60 (patch) | |
| tree | 7008760d5ea7041b1f981e9c3d1d8ef6719013ce /Master | |
| parent | 9c1b590fa92293b7bc04195a05641af25185dc64 (diff) | |
ketcindy (3feb19)
git-svn-id: svn://tug.org/texlive/trunk@49922 c570f23f-e606-0410-a88d-b1316a301751
Diffstat (limited to 'Master')
98 files changed, 9428 insertions, 22702 deletions
diff --git a/Master/texmf-dist/doc/support/ketcindy/HowToInstallE.pdf b/Master/texmf-dist/doc/support/ketcindy/HowToInstallE.pdf Binary files differindex 312420da278..893496815f3 100644 --- a/Master/texmf-dist/doc/support/ketcindy/HowToInstallE.pdf +++ b/Master/texmf-dist/doc/support/ketcindy/HowToInstallE.pdf diff --git a/Master/texmf-dist/doc/support/ketcindy/HowToInstallJ.pdf b/Master/texmf-dist/doc/support/ketcindy/HowToInstallJ.pdf Binary files differindex 3762776f930..91332161cfe 100644 --- a/Master/texmf-dist/doc/support/ketcindy/HowToInstallJ.pdf +++ b/Master/texmf-dist/doc/support/ketcindy/HowToInstallJ.pdf diff --git a/Master/texmf-dist/doc/support/ketcindy/README b/Master/texmf-dist/doc/support/ketcindy/README index cb05dba8668..d56ec8ca7fd 100644 --- a/Master/texmf-dist/doc/support/ketcindy/README +++ b/Master/texmf-dist/doc/support/ketcindy/README @@ -1,7 +1,7 @@ KeTCindy ======== -Version: 20181225.0 +Version: 20190203.0 KeTCindy combines a plugin to Cinderella with free mathematical software (R, Maxima, ...) to produce high-quality LaTeX graphics. @@ -30,7 +30,7 @@ https://github.com/ketpic/ketcindy License and Copyright --------------------- -Copyright 2014-2018 Setsuo Takato +Copyright 2014-2019 Setsuo Takato 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 diff --git a/Master/texmf-dist/doc/support/ketcindy/ketcindyjs/Cindy.js b/Master/texmf-dist/doc/support/ketcindy/ketcindyjs/Cindy.js index 04aa2fd9134..2be04890fd5 100644 --- a/Master/texmf-dist/doc/support/ketcindy/ketcindyjs/Cindy.js +++ b/Master/texmf-dist/doc/support/ketcindy/ketcindyjs/Cindy.js @@ -1,159 +1,159 @@ /* 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 + * See https://github.com/CindyJS/CindyJS/tree/8c01b8d1d336e92934ad80c44aafc5510a1aea36 * 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 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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 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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 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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=F());var I=F(),u=this.s;b=b.s;var C=this.DB-k(f[f.t-1]);0<C?(f.lShiftTo(C,I),n.lShiftTo(C,e)):(f.copyTo(I),n.copyTo(e));f=I.t;n=I[f-1];if(0!=n){var E=n*(1<<this.F1)+(1<f?I[f-2]>>this.F2:0),ab=this.FV/E,E=(1<<this.F1)/E,vb=1<<this.F2,H=e.t,ia=H-f,N=null==d?F():d;I.dlShiftTo(ia,N);0<=e.compareTo(N)&&(e[e.t++]= +1,e.subTo(N,e));p.ONE.dlShiftTo(f,N);for(N.subTo(I,I);I.t<f;)I[I.t++]=0;for(;0<=--ia;){var M=e[--H]==n?this.DM:Math.floor(e[H]*ab+(e[H-1]+vb)*E);if((e[H]+=I.am(0,M,e,ia,0,f))<M)for(I.dlShiftTo(ia,N),e.subTo(N,e);e[H]<--M;)e.subTo(N,e)}null!=d&&(e.drShiftTo(f,d),u!=b&&p.ZERO.subTo(d,d));e.t=f;e.clamp();0<C&&e.rShiftTo(C,e);0>u&&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=F(),f=F(),n=d.convert(this),I=k(b)-1;for(n.copyTo(e);0<=--I;)if(d.sqrTo(e,f),0<(b&1<<I))d.mulTo(f,n,e);else var u=e,e=f,f=u;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,u=this.DB-k*this.DB%b;if(0<k--)for(u<this.DB&&0<(e=this[k]>>u)&&(f=!0,n="0123456789abcdefghijklmnopqrstuvwxyz".charAt(e));0<=k;)u<b?(e=(this[k]&(1<<u)-1)<<b-u,e|=this[--k]>>(u+=this.DB-b)):(e=this[k]>>(u-=b)&d,0>=u&&(u+=this.DB,--k)),0<e&&(f=!0),f&&(n+="0123456789abcdefghijklmnopqrstuvwxyz".charAt(e));return f?n:"0"};p.prototype.negate=function(){var b=F();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=F();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 Qa(d): +new E(d);return this.exp(b,e)};p.ZERO=ea(0);p.ONE=ea(1);fa.prototype.convert=ub;fa.prototype.revert=ub;fa.prototype.mulTo=function(b,d,e){b.multiplyTo(d,e)};fa.prototype.sqrTo=function(b,d){b.squareTo(d)};$a.prototype.convert=function(b){if(0>b.s||b.t>2*this.m.t)return b.mod(this.m);if(0>b.compareTo(this.m))return b;var d=F();b.copyTo(d);this.reduce(d);return d};$a.prototype.revert=function(b){return b};$a.prototype.reduce=function(b){b.drShiftTo(this.m.t-1,this.r2);b.t>this.m.t+1&&(b.t=this.m.t+ +1,b.clamp());this.mu.multiplyUpperTo(this.r2,this.m.t+1,this.q3);for(this.m.multiplyLowerTo(this.q3,this.m.t+1,this.r2);0>b.compareTo(this.r2);)b.dAddOffset(1,this.m.t+1);for(b.subTo(this.r2,b);0<=b.compareTo(this.m);)b.subTo(this.m,b)};$a.prototype.mulTo=function(b,d,e){b.multiplyTo(d,e);this.reduce(e)};$a.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],ic=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=ea(d),f=F(),n=F(),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,u=0,C=0;C<b.length;++C){var E=Ha(b,C);0>E?"-"==b.charAt(C)&&0==this.signum()&&(n=!0):(u=d*u+E,++k>=e&&(this.dMultiply(f),this.dAddOffset(u,0),u=k=0))}0<k&&(this.dMultiply(Math.pow(d,k)),this.dAddOffset(u,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),N,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=F(),k=0;k<b;++k){n.fromInt(H[Math.floor(Math.random()*H.length)]); +var u=n.modPow(f,this);if(0!=u.compareTo(p.ONE)&&0!=u.compareTo(d)){for(var C=1;C++<e&&0!=u.compareTo(d);)if(u=u.modPowInt(2,this),0==u.compareTo(p.ONE))return!1;if(0!=u.compareTo(d))return!1}}return!0};p.prototype.clone=function(){var b=F();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=F();this.bitwiseTo(b,ia,d);return d};p.prototype.or=function(b){var d=F();this.bitwiseTo(b,N,d);return d};p.prototype.xor=function(b){var d=F();this.bitwiseTo(b,V,d);return d};p.prototype.andNot=function(b){var d= +F();this.bitwiseTo(b,S,d);return d};p.prototype.not=function(){for(var b=F(),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=F();0>b?this.rShiftTo(-b,d):this.lShiftTo(b,d);return d};p.prototype.shiftRight=function(b){var d=F();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,N)};p.prototype.clearBit=function(b){return this.changeBit(b, +S)};p.prototype.flipBit=function(b){return this.changeBit(b,V)};p.prototype.add=function(b){var d=F();this.addTo(b,d);return d};p.prototype.subtract=function(b){var d=F();this.subTo(b,d);return d};p.prototype.multiply=function(b){var d=F();this.multiplyTo(b,d);return d};p.prototype.divide=function(b){var d=F();this.divRemTo(b,d,null);return d};p.prototype.remainder=function(b){var d=F();this.divRemTo(b,null,d);return d};p.prototype.divideAndRemainder=function(b){var d=F(),e=F();this.divRemTo(b,d, +e);return[d,e]};p.prototype.modPow=function(b,d){var e=b.bitLength(),f,n=ea(1),I;if(0>=e)return n;f=18>e?1:48>e?3:144>e?4:768>e?5:6;I=8>e?new Qa(d):d.isEven()?new $a(d):new E(d);var u=[],C=3,p=f-1,ab=(1<<f)-1;u[1]=I.convert(this);if(1<f)for(e=F(),I.sqrTo(u[1],e);C<=ab;)u[C]=F(),I.mulTo(e,u[C-2],u[C]),C+=2;for(var H=b.t-1,N,ia=!0,M=F(),e=k(b[H])-1;0<=H;){e>=p?N=b[H]>>e-p&ab:(N=(b[H]&(1<<e+1)-1)<<p-e,0<H&&(N|=b[H-1]>>this.DB+e-p));for(C=f;0==(N&1);)N>>=1,--C;0>(e-=C)&&(e+=this.DB,--H);if(ia)u[N].copyTo(n), +ia=!1;else{for(;1<C;)I.sqrTo(n,M),I.sqrTo(M,n),C-=2;0<C?I.sqrTo(n,M):(C=n,n=M,M=C);I.mulTo(M,u[N],n)}for(;0<=H&&0==(b[H]&1<<e);)I.sqrTo(n,M),C=n,n=M,M=C,0>--e&&(e=this.DB-1,--H)}return I.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=ea(1),k=ea(0),u=ea(0),C=ea(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?(u.isEven()&&C.isEven()||(u.addTo(this,u),C.subTo(b,C)),u.rShiftTo(1,u)):C.isEven()||C.subTo(b,C),C.rShiftTo(1,C);0<=e.compareTo(f)?(e.subTo(f,e),d&&n.subTo(u,n),k.subTo(C,k)):(f.subTo(e,f),d&&u.subTo(n,u),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 fa)};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<ic;)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=F();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())};Y=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};Y(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=ba||Ta||gc?function(b){return b|0}:function(b){return~~b};f.Cast_Int64=M?function(b){return-2147483648>b||2147483647<b?0>b?Math.ceil(b):Math.floor(b):~~b}:Sb&&"function"==typeof Number.toInteger?function(b){return Number.toInteger(b)}: +Cb||fb?function(b){return parseInt(b,10)}:ba?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!== +function(){var b=arguments,d=b.length,e,r,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],r=b[2],b[3]?p.op_Equality(p.Int128Mul(d.Y-e.Y,e.X-r.X),p.Int128Mul(d.X-e.X,e.Y-r.Y)):0===f.Cast_Int64((d.Y-e.Y)*(e.X-r.X))-f.Cast_Int64((d.X-e.X)*(e.Y-r.Y));d=b[0];e=b[1];r=b[2];n=b[3];return b[4]?p.op_Equality(p.Int128Mul(d.Y-e.Y,r.X-n.X),p.Int128Mul(d.X- +e.X,r.Y-n.Y)):0===f.Cast_Int64((d.Y-e.Y)*(r.X-n.X))-f.Cast_Int64((d.X-e.X)*(r.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,r){return r?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,r,n){return n?p.op_Equality(p.Int128Mul(b.Y-d.Y,e.X-r.X),p.Int128Mul(b.X-d.X,e.Y-r.Y)):0===f.Cast_Int64((b.Y-d.Y)*(e.X-r.X))-f.Cast_Int64((b.X-d.X)*(e.Y-r.Y))};f.ClipperBase.prototype.Clear=function(){this.DisposeLocalMinimaList();for(var b=0,d=this.m_edges.length;b<d;++b){for(var e=0,r=this.m_edges[b].length;e<r;++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> +function(b,d,e,r){b.Next=d;b.Prev=e;b.Curr.X=r.X;b.Curr.Y=r.Y;f.use_xyz&&(b.Curr.Z=r.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,r=b,n;if(r.OutIdx==f.ClipperBase.Skip){b=r;if(d){for(;b.Top.Y==b.Next.Bot.Y;)b= +b.Next;for(;b!=r&&b.Dx==f.ClipperBase.horizontal;)b=b.Prev}else{for(;b.Top.Y==b.Prev.Bot.Y;)b=b.Prev;for(;b!=r&&b.Dx==f.ClipperBase.horizontal;)b=b.Next}b==r?r=d?b.Next:b.Prev:(b=d?r.Next:r.Prev,e=new f.LocalMinima,e.Next=null,e.Y=b.Bot.Y,e.LeftBound=null,e.RightBound=b,b.WindDelta=0,r=this.ProcessBound(b,d),this.InsertLocalMinima(e));return r}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(;r.Top.Y==r.Next.Bot.Y&&r.Next.OutIdx!=f.ClipperBase.Skip;)r=r.Next;if(r.Dx==f.ClipperBase.horizontal&&r.Next.OutIdx!=f.ClipperBase.Skip){for(n=r;n.Prev.Dx==f.ClipperBase.horizontal;)n=n.Prev;n.Prev.Top.X==r.Next.Top.X?d||(r=n.Prev):n.Prev.Top.X>r.Next.Top.X&&(r=n.Prev)}for(;b!=r;)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);r=r.Next}else{for(;r.Top.Y==r.Prev.Bot.Y&&r.Prev.OutIdx!=f.ClipperBase.Skip;)r=r.Prev;if(r.Dx==f.ClipperBase.horizontal&&r.Prev.OutIdx!=f.ClipperBase.Skip){for(n=r;n.Next.Dx==f.ClipperBase.horizontal;)n=n.Next;n.Next.Top.X==r.Prev.Top.X?d||(r=n.Next):n.Next.Top.X>r.Prev.Top.X&&(r=n.Next)}for(;b!=r;)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);r=r.Prev}return r};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 r=b.length-1;if(e)for(;0<r&&f.IntPoint.op_Equality(b[r],b[0]);)--r;for(;0<r&&f.IntPoint.op_Equality(b[r],b[r-1]);)--r;if(e&&2>r||!e&&1>r)return!1;for(var n=[],k=0;k<=r;k++)n.push(new f.TEdge);var u=!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[r],C);this.m_UseFullRange=C.Value;this.InitEdge(n[0],n[1],n[r],b[0]);this.InitEdge(n[r],n[0],n[r-1],b[r]);for(k=r-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=r=n[0];;)if(b.Curr!=b.Next.Curr||!e&&b.Next==r){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==r&&(r=b.Next);b=this.RemoveEdge(b);k=b=b.Prev;continue}b=b.Next;if(b==k||!e&&b.Next==r)break}else{if(b==b.Next)break;b==r&&(r=b.Next);k=b=this.RemoveEdge(b)}if(!e&&b==b.Next||e&&b.Prev==b.Next)return!1;e||(this.m_HasOpenPaths=!0,r.Prev.OutIdx=f.ClipperBase.Skip);b=r;do this.InitEdge2(b,d),b=b.Next,u&&b.Curr.Y!=r.Curr.Y&&(u=!1);while(b!=r);if(u){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);u=null;for(f.IntPoint.op_Equality(b.Prev.Bot,b.Prev.Top)&&(b=b.Next);;){b=this.FindNextLocMin(b); +if(b==u)break;else null==u&&(u=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));r=this.ProcessBound(d.RightBound,!n);r.OutIdx==f.ClipperBase.Skip&& +(r=this.ProcessBound(r,!n));d.LeftBound.OutIdx==f.ClipperBase.Skip?d.LeftBound=null:d.RightBound.OutIdx==f.ClipperBase.Skip&&(d.RightBound=null);this.InsertLocalMinima(d);n||(b=r)}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= +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],r=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(r)}finally{this.DisposeAllPolyPts(),this.m_ExecuteLocked=!1}return n}if(2==d&&!e||2==d&&e)return d=b[0],r=b[1],this.Execute(d,r,f.PolyFillType.pftEvenOdd,f.PolyFillType.pftEvenOdd)}else{d= +b[0];r=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(r);this.m_SubjFillType=e;this.m_ClipFillType=b;this.m_ClipType=d;this.m_UsingPolyTree=!1;try{var n=this.ExecuteInternal();n&&this.BuildResult(r)}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= +0,e=this.m_PolyOuts.length;b<e;b++){var r=this.m_PolyOuts[b];null===r.Pts||r.IsOpen||(r.IsHole^this.ReverseSolution)==0<this.Area(r)&&this.ReversePolyPtLinks(r.Pts)}this.JoinCommonEdges();b=0;for(e=this.m_PolyOuts.length;b<e;b++)r=this.m_PolyOuts[b],null===r.Pts||r.IsOpen||this.FixupOutPolygon(r);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 r=new f.Join;r.OutPt1=b;r.OutPt2=d;r.OffPt.X=e.X;r.OffPt.Y=e.Y;f.use_xyz&&(r.OffPt.Z=e.Z);this.m_Joins.push(r)};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_CurrentLM.LeftBound,e=this.m_CurrentLM.RightBound;this.PopLocalMinima();var r=null;null===d?(this.InsertEdgeIntoAEL(e,null),this.SetWindingCount(e),this.IsContributing(e)&&(r=this.AddOutPt(e,e.Bot))):(null==e?(this.InsertEdgeIntoAEL(d,null),this.SetWindingCount(d),this.IsContributing(d)&&(r=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)&&(r=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!==r&&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 u=this.m_GhostJoins[n];this.HorzSegmentsOverlap(u.OutPt1.Pt.X,u.OffPt.X,e.Bot.X,e.Top.X)&&this.AddJoin(u.OutPt1,r,u.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(r,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(r,n,e.Top)),r=d.NextInAEL,null!==r))for(;r!=e;)this.IntersectEdges(e,r,d.Curr,!1),r=r.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&&(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,r=d.PrevInAEL;null!==r;)r.PolyTyp==d.PolyTyp&&0!==r.WindDelta&&(e=!e),r=r.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; +this.AppendPolygon(b,d):this.AppendPolygon(d,b)};f.Clipper.prototype.AddLocalMinPoly=function(b,d,e){var r,n;f.ClipperBase.IsHorizontal(d)||b.Dx>d.Dx?(r=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):(r=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(r,e,n.Top));return r};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 r=this.CreateOutRec();r.IsOpen=0===b.WindDelta;var n=new f.OutPt;r.Pts= +n;n.Idx=r.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;r.IsOpen||this.SetHoleState(b,r);b.OutIdx=r.Idx}else{var r=this.m_PolyOuts[b.OutIdx],k=r.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=r.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&&(r.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>= +(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 r=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 r>=k&&r>=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!== +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],r=this.m_PolyOuts[d.OutIdx],n;n=this.Param1RightOfParam2(e, +r)?r:this.Param1RightOfParam2(r,e)?e:this.GetLowermostRec(e,r);var k=e.Pts,u=k.Prev,C=r.Pts,p=C.Prev;b.Side==f.EdgeSide.esLeft?(d.Side==f.EdgeSide.esLeft?(this.ReversePolyPtLinks(C),C.Next=k,k.Prev=C,u.Next=p,p.Prev=u,e.Pts=p):(p.Next=k,k.Prev=p,C.Prev=u,u.Next=C,e.Pts=C),k=f.EdgeSide.esLeft):(d.Side==f.EdgeSide.esRight?(this.ReversePolyPtLinks(C),u.Next=p,p.Prev=u,C.Next=k,k.Prev=C):(u.Next=C,C.Prev=u,k.Prev=p,p.Next=k),k=f.EdgeSide.esRight);e.BottomPt=null;n==r&&(r.FirstLeft!=e&&(e.FirstLeft=r.FirstLeft), +e.IsHole=r.IsHole);r.Pts=null;r.BottomPt=null;r.FirstLeft=e;n=b.OutIdx;u=d.OutIdx;b.OutIdx=-1;d.OutIdx=-1;for(C=this.m_ActiveEdges;null!==C;){if(C.OutIdx==u){C.OutIdx=n;C.Side=k;break}C=C.NextInAEL}r.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 r=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 u,C,p;b.PolyTyp==f.PolyType.ptSubject?(u=this.m_SubjFillType,p=this.m_ClipFillType):(u=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(u){case f.PolyFillType.pftPositive:u=b.WindCnt;break;case f.PolyFillType.pftNegative:u=-b.WindCnt;break;default:u=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(r&&n)0!=u&&1!=u||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(r){if(0===C||1==C)this.AddOutPt(b,e),f.Clipper.SwapSides(b,d),f.Clipper.SwapPolyIndexes(b,d)}else if(n){if(0===u||1==u)this.AddOutPt(d,e),f.Clipper.SwapSides(b,d),f.Clipper.SwapPolyIndexes(b,d)}else if(!(0!=u&&1!=u||0!=C&&1!=C)){switch(p){case f.PolyFillType.pftPositive:r= +b.WindCnt2;break;case f.PolyFillType.pftNegative:r=-b.WindCnt2;break;default:r=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==u&&1==C)switch(this.m_ClipType){case f.ClipType.ctIntersection:0<r&&0<n&&this.AddLocalMinPoly(b,d,e);break;case f.ClipType.ctUnion:0>=r&&0>=n&&this.AddLocalMinPoly(b,d,e);break;case f.ClipType.ctDifference:(b.PolyTyp== +f.PolyType.ptClip&&0<r&&0<n||b.PolyTyp==f.PolyType.ptSubject&&0>=r&&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),r&&(b.OutIdx=-1)):r&&(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),r&&(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<= +(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 r=e.Dir,n=e.Left,k=e.Right,u=b,C=null;null!==u.NextInLML&&f.ClipperBase.IsHorizontal(u.NextInLML);)u=u.NextInLML;for(null===u.NextInLML&&(C=this.GetMaximaPair(u));;){for(var p=b==u,E=this.GetNextInAEL(b,r);null!==E&&!(E.Curr.X==b.Top.X&&null!==b.NextInLML&&E.Dx<b.NextInLML.Dx);){e=this.GetNextInAEL(E,r);if(r== +f.Direction.dLeftToRight&&E.Curr.X<=k||r==f.Direction.dRightToLeft&&E.Curr.X>=n){if(E==C&&p){if(0<=b.OutIdx){r=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,r,e.Top)),e=e.NextInSEL;this.AddGhostJoin(r,b.Bot);this.AddLocalMaxPoly(b,C,b.Top)}this.DeleteFromAEL(b);this.DeleteFromAEL(C);return}if(r==f.Direction.dLeftToRight){var F=new f.IntPoint(E.Curr.X,b.Curr.Y);this.IntersectEdges(b, +E,F)}else F=new f.IntPoint(E.Curr.X,b.Curr.Y),this.IntersectEdges(E,b,F);this.SwapPositionsInAEL(b,E)}else if(r==f.Direction.dLeftToRight&&E.Curr.X>=k||r==f.Direction.dRightToLeft&&E.Curr.X<=n)break;E=e}if(null!==b.NextInLML&&f.ClipperBase.IsHorizontal(b.NextInLML))b=this.UpdateEdgeIntoAEL(b),0<=b.OutIdx&&this.AddOutPt(b,b.Bot),e={Dir:r,Left:n,Right:k},this.GetHorzDirection(b,e),r=e.Dir,n=e.Left,k=e.Right;else break}null!==b.NextInLML?0<=b.OutIdx?(r=this.AddOutPt(b,b.Top),d&&this.AddGhostJoin(r,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(r,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(r,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= +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 r=new f.IntPoint; +d.Curr.X>b.Curr.X?(this.IntersectPoint(d,b,r),e=new f.IntersectNode,e.Edge1=d,e.Edge2=b,e.Pt.X=r.X,e.Pt.Y=r.Y,f.use_xyz&&(e.Pt.Z=r.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= +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};M=function(b){return 0>b?Math.ceil(b-.5):Math.round(b)};Sb=function(b){return 0>b?Math.ceil(b-.5):Math.floor(b+.5)};Ta=function(b){return 0>b?-Math.round(Math.abs(b)):Math.round(b)};fb=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= +ba?M:tb?Ta:gc?fb:Sb;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 r,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:(r=b.Bot.Y-b.Bot.X/b.Dx,e.Y=f.Clipper.Round(e.X/b.Dx+ +r));else{r=b.Bot.X-b.Bot.Y*b.Dx;n=d.Bot.X-d.Bot.Y*d.Dx;var k=(n-r)/(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+r):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 r=d.PrevInAEL;this.DoMaxima(d);d=null===r?this.m_ActiveEdges:r.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&&(r=d.PrevInAEL,0<=d.OutIdx&&0!==d.WindDelta&& +null!==r&&0<=r.OutIdx&&r.Curr.X==d.Curr.X&&0!==r.WindDelta)){var n=new f.IntPoint(d.Curr);f.use_xyz&&this.SetZ(n,r,d);e=this.AddOutPt(r,n);r=this.AddOutPt(d,n);this.AddJoin(e,r,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),r=d.PrevInAEL,n=d.NextInAEL,null!==r&&r.Curr.X==d.Bot.X&&r.Curr.Y==d.Bot.Y&&null!==e&&0<=r.OutIdx&&r.Curr.Y>r.Top.Y&&f.ClipperBase.SlopesEqual(d, +r,this.m_UseFullRange)&&0!==d.WindDelta&&0!==r.WindDelta?(r=this.AddOutPt(r,d.Bot),this.AddJoin(e,r,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&&(r=this.AddOutPt(n,d.Bot),this.AddJoin(e,r,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== +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 r=this.m_PolyOuts[d];if(null!==r.Pts){var r=r.Pts.Prev,n=this.PointCount(r);if(!(2>n)){for(var k=Array(n),u=0;u<n;u++)k[u]=r.Pt,r=r.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 r=this.m_PolyOuts[d],n=this.PointCount(r.Pts);if(!(r.IsOpen&&2>n||!r.IsOpen&&3>n)){this.FixHoleLinkage(r);var k=new f.PolyNode;b.m_AllPolys.push(k);r.PolyNode=k;k.m_polygon.length=n;for(var r=r.Pts.Prev,u=0;u<n;u++)k.m_polygon[u]=r.Pt,r=r.Prev}}d=0;for(e=this.m_PolyOuts.length;d<e;d++)r=this.m_PolyOuts[d],null!==r.PolyNode&&(r.IsOpen?(r.PolyNode.IsOpen=!0,b.AddChild(r.PolyNode)):null!==r.FirstLeft&&null!=r.FirstLeft.PolyNode? +r.FirstLeft.PolyNode.AddChild(r.PolyNode):b.AddChild(r.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, +n.Right=Math.min(b,e));return n.Left<n.Right};f.Clipper.prototype.JoinHorz=function(b,d,e,r,n,k){var u=b.Pt.X>d.Pt.X?f.Direction.dRightToLeft:f.Direction.dLeftToRight;r=e.Pt.X>r.Pt.X?f.Direction.dRightToLeft:f.Direction.dLeftToRight;if(u==r)return!1;if(u==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(r==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);r=this.DupOutPt(e,!k);f.IntPoint.op_Inequality(r.Pt,n)&&(e=r,e.Pt.X=n.X,e.Pt.Y=n.Y,f.use_xyz&&(e.Pt.Z=n.Z),r=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);r=this.DupOutPt(e,k);f.IntPoint.op_Inequality(r.Pt,n)&&(e=r,e.Pt.X=n.X,e.Pt.Y=n.Y,f.use_xyz&&(e.Pt.Z=n.Z),r=this.DupOutPt(e,k))}u==f.Direction.dLeftToRight==k?(b.Prev=e,e.Next=b,d.Next=r,r.Prev=d):(b.Next=e,e.Prev=b,d.Prev=r,r.Next=d);return!0};f.Clipper.prototype.JoinPoints=function(b,d,e){var r=b.OutPt1,n;new f.OutPt;var k=b.OutPt2,u;new f.OutPt;if((u=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!=r&&f.IntPoint.op_Equality(n.Pt,b.OffPt);)n=n.Next;n=n.Pt.Y>b.OffPt.Y;for(u=b.OutPt2.Next;u!=k&&f.IntPoint.op_Equality(u.Pt,b.OffPt);)u=u.Next;if(n==u.Pt.Y>b.OffPt.Y)return!1;n?(n=this.DupOutPt(r,!1),u=this.DupOutPt(k,!0),r.Prev=k,k.Next=r,n.Next=u,u.Prev=n):(n=this.DupOutPt(r,!0),u=this.DupOutPt(k,!1),r.Next=k,k.Prev=r,n.Prev=u,u.Next=n);b.OutPt1=r;b.OutPt2=n;return!0}if(u){for(n=r;r.Prev.Pt.Y==r.Pt.Y&&r.Prev!=n&& +r.Prev!=k;)r=r.Prev;for(;n.Next.Pt.Y==n.Pt.Y&&n.Next!=r&&n.Next!=k;)n=n.Next;if(n.Next==r||n.Next==k)return!1;for(u=k;k.Prev.Pt.Y==k.Pt.Y&&k.Prev!=u&&k.Prev!=n;)k=k.Prev;for(;u.Next.Pt.Y==u.Pt.Y&&u.Next!=k&&u.Next!=r;)u=u.Next;if(u.Next==k||u.Next==r)return!1;e={Left:null,Right:null};if(!this.GetOverlap(r.Pt.X,n.Pt.X,k.Pt.X,u.Pt.X,e))return!1;d=e.Left;var C=e.Right;e=new f.IntPoint;r.Pt.X>=d&&r.Pt.X<=C?(e.X=r.Pt.X,e.Y=r.Pt.Y,f.use_xyz&&(e.Z=r.Pt.Z),d=r.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>u.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>r.Pt.X):(e.X=u.Pt.X,e.Y=u.Pt.Y,f.use_xyz&&(e.Z=u.Pt.Z),d=u.Pt.X>k.Pt.X);b.OutPt1=r;b.OutPt2=k;return this.JoinHorz(r,n,k,u,e,d)}for(n=r.Next;f.IntPoint.op_Equality(n.Pt,r.Pt)&&n!=r;)n=n.Next;if(C=n.Pt.Y>r.Pt.Y||!f.ClipperBase.SlopesEqual(r.Pt,n.Pt,b.OffPt,this.m_UseFullRange)){for(n=r.Prev;f.IntPoint.op_Equality(n.Pt,r.Pt)&&n!=r;)n=n.Prev;if(n.Pt.Y>r.Pt.Y||!f.ClipperBase.SlopesEqual(r.Pt, +n.Pt,b.OffPt,this.m_UseFullRange))return!1}for(u=k.Next;f.IntPoint.op_Equality(u.Pt,k.Pt)&&u!=k;)u=u.Next;var p=u.Pt.Y>k.Pt.Y||!f.ClipperBase.SlopesEqual(k.Pt,u.Pt,b.OffPt,this.m_UseFullRange);if(p){for(u=k.Prev;f.IntPoint.op_Equality(u.Pt,k.Pt)&&u!=k;)u=u.Prev;if(u.Pt.Y>k.Pt.Y||!f.ClipperBase.SlopesEqual(k.Pt,u.Pt,b.OffPt,this.m_UseFullRange))return!1}if(n==r||u==k||n==u||d==e&&C==p)return!1;C?(n=this.DupOutPt(r,!1),u=this.DupOutPt(k,!0),r.Prev=k,k.Next=r,n.Next=u,u.Prev=n):(n=this.DupOutPt(r,!0), +u=this.DupOutPt(k,!1),r.Next=k,k.Prev=r,n.Prev=u,u.Next=n);b.OutPt1=r;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 r=new f.IntRect;r.left=b[d][0].X;r.right=r.left;r.top=b[d][0].Y;for(r.bottom=r.top;d<e;d++)for(var k=0,I=b[d].length;k<I;k++)b[d][k].X<r.left?r.left=b[d][k].X:b[d][k].X>r.right&&(r.right=b[d][k].X),b[d][k].Y<r.top?r.top=b[d][k].Y:b[d][k].Y>r.bottom&&(r.bottom=b[d][k].Y);return r};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],I=1;I<=f;++I){var u=I==f?d[0]:d[I];if(u.Y==b.Y&&(u.X==b.X||k.Y==b.Y&&u.X>b.X==k.X<b.X))return-1;if(k.Y<b.Y!=u.Y<b.Y)if(k.X>=b.X)if(u.X>b.X)e=1-e;else{var C= +(k.X-b.X)*(u.Y-b.Y)-(u.X-b.X)*(k.Y-b.Y);if(0==C)return-1;0<C==u.Y>k.Y&&(e=1-e)}else if(u.X>b.X){C=(k.X-b.X)*(u.Y-b.Y)-(u.X-b.X)*(k.Y-b.Y);if(0==C)return-1;0<C==u.Y>k.Y&&(e=1-e)}k=u}return e};f.Clipper.prototype.PointInPolygon=function(b,d){var e=0,f=d,k=b.X,I=b.Y,u=d.Pt.X,C=d.Pt.Y;do{d=d.Next;var p=d.Pt.X,E=d.Pt.Y;if(E==I&&(p==k||C==I&&p>k==u<k))return-1;if(C<I!=E<I)if(u>=k)if(p>k)e=1-e;else{u=(u-k)*(E-I)-(p-k)*(C-I);if(0==u)return-1;0<u==E>C&&(e=1-e)}else if(p>k){u=(u-k)*(E-I)-(p-k)*(C-I);if(0== +u)return-1;0<u==E>C&&(e=1-e)}u=p;C=E}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)&& +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 u=this.m_PolyOuts.length;p<u-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* @@ -161,22 +161,22 @@ k)}}};f.Clipper.prototype.UpdateOutPtIdxs=function(b){var d=b.Pts;do d.Idx=b.Idx !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); +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,u=[];if(e)for(e=0;e<p;e++){for(var C=Array(n),E=0,F=b.length,H=b[E];E<F;E++,H=b[E])C[E]=new f.IntPoint(d[e].X+H.X,d[e].Y+H.Y);u.push(C)}else for(e=0;e<p;e++){C=Array(n);E=0;F=b.length;for(H=b[E];E<F;E++,H=b[E])C[E]=new f.IntPoint(d[e].X-H.X,d[e].Y-H.Y);u.push(C)}b=[];for(e=0;e<p-1+k;e++)for(E=0;E<n;E++)d=[],d.push(u[e%p][E%n]),d.push(u[(e+1)% +p][E%n]),d.push(u[(e+1)%p][(E+1)%n]),d.push(u[e%p][(E+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){u=d;d=new f.Paths;for(var k=new f.Clipper,n=0;n<u.length;++n){var p=f.Clipper.Minkowski(b,u[n],!0,e);k.AddPaths(p,f.PolyType.ptSubject,!0);e&&(p=f.Clipper.TranslatePath(u[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 u=f.Clipper.Minkowski(b, +d,!0,e),k=new f.Clipper;k.AddPaths(u,f.PolyType.ptSubject,!0);k.Execute(f.ClipType.ctUnion,u,f.PolyFillType.pftNonZero,f.PolyFillType.pftNonZero);return u};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=[]; +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};Y(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.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 u=1;u<=k;u++)f.IntPoint.op_Inequality(n.m_polygon[p],b[u])&&(p++,n.m_polygon.push(b[u]),b[u].Y>n.m_polygon[d].Y||b[u].Y==n.m_polygon[d].Y&&b[u].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? +[];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 u=e,e=e*this.m_cos-this.m_sin*n,n=u*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(u=n-1,p=0;p<n;p++)u=this.OffsetPoint(p,u,e.m_jointype);else if(e.m_endtype==f.EndType.etClosedLine){u=n-1;for(p=0;p<n;p++)u=this.OffsetPoint(p,u,e.m_jointype);this.m_destPolys.push(this.m_destPoly);this.m_destPoly= +[];u=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(-u.X,-u.Y);u=0;for(p=n-1;0<=p;p--)u=this.OffsetPoint(p,u,e.m_jointype)}else{u=0;for(p=1;p<n-1;++p)u=this.OffsetPoint(p,u,e.m_jointype);e.m_endtype==f.EndType.etOpenButt?(p=n-1,u=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(u), +u=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(u)):(p=n-1,u=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,u):this.DoRound(p,u));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);u=n-1;for(p=u-1;0<p;--p)u=this.OffsetPoint(p,u,e.m_jointype);e.m_endtype==f.EndType.etOpenButt?(u=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(u),u=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(u)):(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= @@ -185,597 +185,625 @@ f.ClipperOffset.Round(this.m_srcPoly[b].Y+this.m_normals[d].Y*this.m_delta))),d} 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); +1),k=this.m_normals[d].X,n=this.m_normals[d].Y,p,u=0;u<e;++u)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); 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l._helper.isLessThan(a,h)? --1:l._helper.isEqual(a,h)?0:1};l._helper.isAlmostEqual=function(a,h,c){var r=l.eps;"undefined"!==typeof c&&(r=c);c=a.value.real-h.value.real;a=a.value.imag-h.value.imag;return c<r&&c>-r&&a<r&&a>-r};l._helper.isZero=function(a){return 0===a.value.real&&0===a.value.imag};l._helper.isAlmostZero=function(a){var h=a.value.real;a=a.value.imag;return h<l.eps&&h>-l.eps&&a<l.eps&&a>-l.eps};l._helper.isReal=function(a){return 0===a.value.imag};l._helper.isAlmostReal=function(a){a=a.value.imag;return a<l.epsbig&& -a>-l.epsbig};l._helper.isNaN=function(a){return isNaN(a.value.real)||isNaN(a.value.imag)};l._helper.isFinite=function(a){return isFinite(a.value.real)&&isFinite(a.value.imag)};l._helper.isAlmostImag=function(a){a=a.value.real;return 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); 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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 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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=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 g._helper.LUsolve(c,h)};g._helper.LUsolve=function(a,h){var c=JSON.parse(JSON.stringify(h)),b,d=a.LU,g=d.value.length,e=JSON.parse(JSON.stringify(c)),f=a.P,k;for(b=g-1;-1!==b;--b)e.value[b]=c.value[b];for(b=0;b<g;++b)for(c=f[b],f[b]!==b&&(k= -e.value[b],e.value[b]=e.value[c],e.value[c]=k),k=d.value[b],c=0;c<b;++c)e.value[b]=l.sub(e.value[b],l.mult(e.value[c],k.value[c]));for(b=g-1;0<=b;--b){k=d.value[b];for(c=b+1;c<g;++c)e.value[b]=l.sub(e.value[b],l.mult(e.value[c],k.value[c]));e.value[b]=l.div(e.value[b],k.value[b])}return e};g.linearsolveCramer2=function(a,h){var c=g.column(a,l.real(1)),b=g.column(a,l.real(2)),d=g.det2(c,b);l._helper.isZero(d)&&console.log("A is not regular!");b=g.det2(h,b);b=l.div(b,d);c=g.det2(c,h);c=l.div(c,d);return g.turnIntoCSList([b, -c])};g.linearsolveCramer3=function(a,h){var c=g.column(a,l.real(1)),b=g.column(a,l.real(2)),d=g.column(a,l.real(3)),e=g.det3(c,b,d);l._helper.isZero(e)&&console.log("A is not regular!");var f=g.det3(h,b,d),d=g.det3(c,h,d),c=g.det3(c,b,h),f=g.turnIntoCSList([f,d,c]);return f=g.scaldiv(e,f)};g.linearsolveCGNR=function(a,h){var c=g.transpose(a),b=w.mult(c,a),c=w.mult(c,h);return g.linearsolveCG(b,c)};g.linearsolveCG=function(a,h){var c,b,d,e,f,k;e=h;b=c=g.sub(h,w.mult(a,h));for(var m=Math.ceil(1.2*a.value.length), -n=0;n<m;){n++;f=w.mult(a,b);k=d=g.scalproduct(c,c);d=l.div(d,g.scalproduct(b,f));e=g.add(e,w.mult(d,b));c=g.sub(c,w.mult(d,f));if(g.abs(c).value.real<l.eps)break;d=g.scalproduct(c,c);d=l.div(d,k);b=g.add(c,w.mult(d,b))}n>=m&&console.log("CG did not converge");return e};g.det=function(a){if(1===a.value.length)return a.value[0].value[0];if(2===a.value.length)return g.det2(a.value[0],a.value[1]);if(3===a.value.length)return g.det3(a.value[0],a.value[1],a.value[2]);if(4===a.value.length)return g.det4m(a); -var h=a.value.length,c=l.real(1),b,d,e=JSON.parse(JSON.stringify(a)),f,k,m,n;for(a=0;a<h-1;a++){d=a;for(b=a+1;b<h;b++)l.abs(e.value[b].value[a]).value.real>l.abs(e.value[d].value[a]).value.real&&(d=b);d!==a&&(b=e.value[d],e.value[d]=e.value[a],e.value[a]=b,c=l.neg(c));f=e.value[a];for(b=a+1;b<h;b++){k=e.value[b];m=l.div(k.value[a],f.value[a]);for(d=a+1;d<h-1;d+=2)n=d+1,k.value[d]=l.sub(k.value[d],l.mult(f.value[d],m)),k.value[n]=l.sub(k.value[n],l.mult(f.value[n],m));d!==h&&(k.value[d]=l.sub(k.value[d], -l.mult(f.value[d],m)))}if(l._helper.isZero(f.value[a]))return l.real(0);c=l.mult(c,f.value[a])}return l.mult(c,e.value[a].value[a])};g.LUdet=function(a){a=g.LUdecomp(a);for(var h=a.LU,c=h.value.length,b=h.value[0].value[0],d=1;d<c;d++)b=l.mult(b,h.value[d].value[d]);1===a.TransPos%2&&(b=l.neg(b));return b};g.getField=function(a,h){var c;if("homog"===h){if(g._helper.isNumberVecN(a,3))return a;if(g._helper.isNumberVecN(a,2))return g.turnIntoCSList([a.value[0],a.value[1],l.real(1)])}if("xy"===h){if(g._helper.isNumberVecN(a, -2))return a;if(g._helper.isNumberVecN(a,3))return g.turnIntoCSList([l.div(a.value[0],a.value[2]),l.div(a.value[1],a.value[2])])}if("x"===h&&g.isNumberVector(a)){c=a.value.length;if(0<c&&3!==c)return a.value[0];if(3===c)return"Point"===a.usage?l.div(a.value[0],a.value[2]):a.value[0]}if("y"===h&&g.isNumberVector(a)){c=a.value.length;if(1<c&&3!==c)return a.value[1];if(3===c)return"Point"===a.usage?l.div(a.value[1],a.value[2]):a.value[1]}return"z"===h&&g.isNumberVector(a)&&(c=a.value.length,2<c)?a.value[2]: -k};g.nil=g.turnIntoCSList([]);g.ofGeos=function(a){return g.turnIntoCSList(a.map(function(a){return{ctype:"geo",value:a}}))};var 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c=0;c<a.length;c++)"variable"===a[c].ctype&&J.newvar(a[c].name);return k};t.removevar$1=function(a,h){var c=A(a[0]);"variable"===a[0].ctype&&J.removevar(a[0].name);return c};t.release=function(a,h){if(0===a.length)return k;for(var c=A(a[a.length-1]),b=0;b<a.length;b++)"variable"=== -a[b].ctype&&J.removevar(a[b].name);return c};t.regional=function(a,h){for(var c=0;c<a.length;c++)if("variable"===a[c].ctype){var b=a[c].name;J.newvar(b);J.pushVstack(b)}return k};t.genList=function(a,h){return g.turnIntoCSList(a.map(A))};D.assigntake=function(a,h){var c=a.args[0],b=A(c),d=B(a.args[1]),e=k;if("list"===b.ctype||"string"===b.ctype)d=Math.floor(d.value.real),0>d&&(d=b.value.length+d+1),0<d&&d<=b.value.length&&("list"===b.ctype?(b=b.value.slice(),b[d-1]=A(h),e=g.turnIntoCSList(b)):(b= -b.value,b=b.substring(0,d-1)+ba(A(h))+b.substring(d,b.length),e=w.string(b)));bb([c,e])};D.assigndot=function(a,h){var c=A(a.obj),b=a.key;"geo"===c.ctype&&b&&ya.setField(c.value,b,B(h));return k};D.assignlist=function(a,h){var c=a.length,b=h.length;b<c&&(c=b);for(b=0;b<c;b++)bb([a[b],h[b]],[])};t.if$2=function(a,h){return t.if$3(a,h)};t.if$3=function(a,h){var c=B(a[0]);if("boolean"===c.ctype){if(!0===c.value)return A(a[1]);if(3===a.length)return A(a[2])}else ia.err("Condition for if is not boolean"); -return k};t.and$2=Hc;t.or$2=Ic;t.xor$2=function(a,h){var c=B(a[0]),b=B(a[1]);return"boolean"===c.ctype&&"boolean"===b.ctype?{ctype:"boolean",value:c.value!==b.value}:k};t.not$1=function(a,h){var c=B(a[0]);return"boolean"===c.ctype?{ctype:"boolean",value:!c.value}:k};D.genericListMathGen=function(a,h,c){t[a+"$1"]=function(a,b){var d=A(a[0]);if("list"!==d.ctype)return k;d=d.value;if(0===d.length)return c;for(var r=d[0],e=1;e<d.length;e++)r=h(r,d[e]);return r};var b=a+"$3";t[a+"$2"]=function(a,c){return t[b]([a[0], -null,a[1]])};t[b]=function(a,b){var d=B(a[0]);if("list"!==d.ctype)return k;d=d.value;if(0===d.length)return c;var r="#";null!==a[1]&&"variable"===a[1].ctype&&(r=a[1].name);J.newvar(r);J.setvar(r,d[0]);for(var e=A(a[2]),g=1;g<d.length;g++){J.setvar(r,d[g]);var f=A(a[2]),e=h(e,f)}J.removevar(r);return e}};D.genericListMathGen("product",w.mult,l.real(1));D.genericListMathGen("sum",w.add,l.real(0));D.genericListMathGen("max",w.max,k);D.genericListMathGen("min",w.min,k);t.max$2=function(a,h){var c=B(a[0]); -if("list"===c.ctype)return t.max$3([c,null,a[1]]);var b=B(a[1]);return t.max$1([g.turnIntoCSList([c,b])])};t.min$2=function(a,h){var c=B(a[0]);if("list"===c.ctype)return t.min$3([c,null,a[1]]);var b=B(a[1]);return t.min$1([g.turnIntoCSList([c,b])])};t.add$2=Jc;t.sub$2=$b;t.mult$2=Kc;t.div$2=Lc;t.mod$2=function(a,h){var c=B(a[0]),b=B(a[1]);return"number"===c.ctype&&"number"===b.ctype?l.mod(c,b):k};t.pow$2=Mc;t.exp$1=function(a,h){var c=B(a[0]);return"number"===c.ctype?l.exp(c):k};t.sin$1=function(a, -h){var c=B(a[0]);return"number"===c.ctype?l.sin(c):k};t.sqrt$1=function(a,h){var 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 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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 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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 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+Math.sqrt(3));m._helper.cub1={ctype:"list",value:[m.one,m.one,m.one]};m._helper.cub2={ctype:"list",value:[m._helper.z3a,m.one,m._helper.z3b]};m._helper.cub3={ctype:"list",value:[m._helper.z3b,m.one,m._helper.z3a]};m.solveCubic=function(a,g,c,q){a=m._helper.solveCubicHelper(a,g,c,q);return[h.scalproduct(m._helper.cub1,a),h.scalproduct(m._helper.cub2,a),h.scalproduct(m._helper.cub3,a)]};m._helper.solveCubicHelper=function(a,g,c,q){var b=a.value.real;a=a.value.imag;var d=g.value.real;g=g.value.imag; +var e=c.value.real,f=c.value.imag,k=q.value.real,l=q.value.imag,n=b*e-a*f;c=b*f+a*e;q=4*n-(d*d-g*g);var p=4*c-2*d*g,r=b*d-a*g,t=b*g+a*d,v=q*e-p*f-18*(r*k-t*l),p=q*f+p*e-18*(r*l+t*k);q=27*(b*b-a*a);var u=54*a*b,w=q*k-u*l,x=q*l+u*k,y=d*d-g*g,A=2*d*g,z=y*d-A*g,B=y*g+A*d,C=w+4*z,u=x+4*B;q=27*(v*e-p*f+C*k-u*l);p=27*(v*f+p*e+C*l+u*k);C=Math.sqrt(Math.sqrt(q*q+p*p));u=Math.atan2(p,q);p=C*Math.sin(u/2);q=C*Math.cos(u/2);z=-2*z+9*(r*e-t*f)-w+(q*b-p*a);B=-2*B+9*(r*f+t*e)-x+(q*a+p*b);q=Math.exp(Math.log(Math.sqrt(z* +z+B*B))/3);e=Math.atan2(B,z);u=q*Math.sin(e/3);p=q*Math.cos(e/3);q*=q;e*=2;n=2*y-6*n;c=2*A-6*c;A=-1.5874010519681996*(d*p-g*u);d=-1.5874010519681996*(d*u+g*p);g=1.2599210498948732*q*Math.cos(e/3);e=1.2599210498948732*q*Math.sin(e/3);q=4.762203155904599*(p*b-u*a);p=4.762203155904599*(p*a+u*b);b=q*q+p*p;u=(-n*p+c*q)/b;n=(n*q+c*p)/b;c=u;u=(-A*p+d*q)/b;A=(A*q+d*p)/b;d=u;u=(-g*p+e*q)/b;g=(g*q+e*p)/b;e=u;return h.turnIntoCSList([m.complex(n,c),m.complex(A,d),m.complex(g,e)])};var h={_helper:{},turnIntoCSList:function(a){return{ctype:"list", +value:a}}};h.EMPTY=h.turnIntoCSList([]);h.asList=function(a){return"list"===a.ctype?a:"number"===a.ctype||"boolean"===a.ctype||"geo"===a.ctype?h.turnIntoCSList([a]):h.EMPTY};h.realVector=function(a){for(var g=[],c=0;c<a.length;c++)g[c]={ctype:"number",value:{real:a[c],imag:0}};return{ctype:"list",value:g}};h._helper.unitvector=function(a,g){var c=h.zerovector(a);c.value[Math.floor(g.value.real-1)]=m.real(1);return c};h.idMatrix=function(a){for(var g=h.zeromatrix(a,a),c=m.real(1),q=0;q<a.value.real;q++)g.value[q].value[q]= +c;return g};h._helper.flippedidMatrix=function(a){for(var g=h.zeromatrix(a,a),c=m.real(1),q=0;q<a.value.real;q++)g.value[q].value[a.value.real-q-1]=c;return g};h.println=function(a){for(var g=[],c=0;c<a.value.length;c++)if("number"===a.value[c].ctype)g[c]=m.niceprint(a.value[c]);else if("list"===a.value[c].ctype)h.println(a.value[c]);else return k;"number"===a.value[0].ctype&&console.log(g)};h.matrix=function(a){return h.turnIntoCSList(a.map(h.turnIntoCSList))};h.realMatrix=function(a){for(var g= +a.length,c=Array(g),q=0;q<g;q++)c[q]=h.realVector(a[q]);return h.turnIntoCSList(c)};h.ex=h.realVector([1,0,0]);h.ey=h.realVector([0,1,0]);h.ez=h.realVector([0,0,1]);h.linfty=h.realVector([0,0,1]);h.ii=h.turnIntoCSList([m.complex(1,0),m.complex(0,1),m.complex(0,0)]);h.jj=h.turnIntoCSList([m.complex(1,0),m.complex(0,-1),m.complex(0,0)]);h.fundDual=h.realMatrix([[1,0,0],[0,1,0],[0,0,0]]);h.fund=h.realMatrix([[0,0,0],[0,0,0],[0,0,1]]);h.sequence=function(a,g){for(var c=[],q=0,b=Math.round(a.value.real);b< +Math.round(g.value.real)+1;b++)c[q]={ctype:"number",value:{real:b,imag:0}},q++;return{ctype:"list",value:c}};h.pairs=function(a){for(var g=[],c=0;c<a.value.length-1;c++)for(var q=c+1;q<a.value.length;q++)g.push({ctype:"list",value:[a.value[c],a.value[q]]});return{ctype:"list",value:g}};h.triples=function(a){for(var g=[],c=0;c<a.value.length-2;c++)for(var q=c+1;q<a.value.length-1;q++)for(var b=q+1;b<a.value.length;b++)g.push({ctype:"list",value:[a.value[c],a.value[q],a.value[b]]});return{ctype:"list", +value:g}};h.cycle=function(a){for(var g=[],c=0;c<a.value.length-1;c++)g[c]={ctype:"list",value:[a.value[c],a.value[c+1]]};g.push({ctype:"list",value:[a.value[a.value.length-1],a.value[0]]});return{ctype:"list",value:g}};h.consecutive=function(a){for(var g=[],c=0;c<a.value.length-1;c++)g[c]={ctype:"list",value:[a.value[c],a.value[c+1]]};return{ctype:"list",value:g}};h.reverse=function(a){for(var g=Array(a.value.length),c=a.value.length-1,q=0;0<=c;c--,q++)g[q]=a.value[c];return{ctype:"list",value:g}}; +h.directproduct=function(a,g){for(var c=[],q=0;q<a.value.length;q++)for(var b=0;b<g.value.length;b++)c.push({ctype:"list",value:[a.value[q],g.value[b]]});return{ctype:"list",value:c}};h.concat=function(a,g){for(var c=[],q=0;q<a.value.length;q++)c.push(a.value[q]);for(q=0;q<g.value.length;q++)c.push(g.value[q]);return{ctype:"list",value:c}};h.prepend=function(a,g){var c=[];c[0]=a;for(var q=0;q<g.value.length;q++)c[q+1]=g.value[q];return{ctype:"list",value:c}};h.append=function(a,g){for(var c=[],q= +0;q<a.value.length;q++)c[q]=a.value[q];c.push(g);return{ctype:"list",value:c}};h.contains=function(a,g){for(var c=0;c<a.value.length;c++)if(D.equals(a.value[c],g).value)return{ctype:"boolean",value:!0};return{ctype:"boolean",value:!1}};h.common=function(a,g){for(var c=[],q=0,b=0;b<a.value.length;b++){for(var d=!1,h=a.value[b],e=0;e<g.value.length;e++)d=d||D.equals(h,g.value[e]).value;d&&(c[q]=a.value[b],q++)}return{ctype:"list",value:c}};h.remove=function(a,g){for(var c=[],q=0,b=0;b<a.value.length;b++){for(var d= +!1,h=a.value[b],e=0;e<g.value.length;e++)d=d||D.equals(h,g.value[e]).value;d||(c[q]=a.value[b],q++)}return{ctype:"list",value:c}};h.sort1=function(a){a=a.value.slice();a.sort(w.compare);return h.turnIntoCSList(a)};h._helper.isEqual=function(a,g){return h.equals(a,g).value};h._helper.isLessThan=function(a,g){for(var c=a.value.length,q=g.value.length,b=0;!(b>=c||b>=q)&&w.isEqual(a.value[b],g.value[b]);)b++;return b===c&&b<q?!0:b===q&&b<c||b===c&&b===q?!1:w.isLessThan(a.value[b],g.value[b])};h._helper.compare= +function(a,g){return h._helper.isLessThan(a,g)?-1:h._helper.isEqual(a,g)?0:1};h.equals=function(a,g){if(a.value.length!==g.value.length)return{ctype:"boolean",value:!1};for(var c=!0,q=0;q<a.value.length;q++)var b=a.value[q],d=g.value[q],c="list"===b.ctype&&"list"===d.ctype?c&&h.equals(b,d).value:c&&vb([b,d],[]).value;return{ctype:"boolean",value:c}};h.almostequals=function(a,g){if(a.value.length!==g.value.length)return{ctype:"boolean",value:!1};for(var c=!0,q=0;q<a.value.length;q++)var b=a.value[q], +d=g.value[q],c="list"===b.ctype&&"list"===d.ctype?c&&h.almostequals(b,d).value:c&&hc([b,d],[]).value;return{ctype:"boolean",value:c}};h._helper.isAlmostReal=function(a){for(var g=!0,c=0;c<a.value.length;c++)var q=a.value[c],g="list"===q.ctype?g&&h._helper.isAlmostReal(q):g&&m._helper.isAlmostReal(q);return g};h._helper.isAlmostZero=function(a){for(var g=0;g<a.value.length;g++){var c=a.value[g];if("list"===c.ctype){if(!h._helper.isAlmostZero(c))return!1}else if(!m._helper.isAlmostZero(c))return!1}return!0}; +h._helper.isNaN=function(a){for(var g=!1,c=0;c<a.value.length;c++)var q=a.value[c],g="list"===q.ctype?g||h._helper.isNaN(q):g||m._helper.isNaN(q);return g};h.set=function(a){var g=[],c=0;a=a.value.slice();a.sort(w.compare);for(var q=0;q<a.length;q++)0!==q&&vb([g[g.length-1],a[q]],[]).value||(g[c]=a[q],c++);return{ctype:"list",value:g}};h.maxval=function(a){for(var g=m.zero,c=0;c<a.value.length;c++){var q=a.value[c];"number"===q.ctype&&(g=m.argmax(g,q));"list"===q.ctype&&(g=m.argmax(g,h.maxval(q)))}return g}; +h.maxIndex=function(a,g,c){var q=0;void 0!==c&&(q=c);c=q;for(var b=g(a.value[q]).value.real;q<a.value.length;++q){var d=g(a.value[q]).value.real;d>b&&(c=q,b=d)}return c};h.normalizeMax=function(a){var g=m.inv(h.maxval(a));return m._helper.isFinite(g)?h.scalmult(g,a):a};h.normalizeZ=function(a){var g=m.inv(a.value[2]);return h.scalmult(g,a)};h.dehom=function(a){a=a.value.slice();var g=a.length-1,c=m.inv(a[g]);a.length=g;for(var q=0;q<g;++q)a[q]=m.mult(c,a[q]);return h.turnIntoCSList(a)};h.normalizeAbs= +function(a){var g=m.inv(h.abs(a));return h.scalmult(g,a)};h.max=function(a,g){if(a.value.length!==g.value.length)return k;for(var c=[],q=0;q<a.value.length;q++)c[q]=w.max(a.value[q],g.value[q]);return{ctype:"list",value:c}};h.min=function(a,g){if(a.value.length!==g.value.length)return k;for(var c=[],q=0;q<a.value.length;q++)c[q]=w.min(a.value[q],g.value[q]);return{ctype:"list",value:c}};h.scaldiv=function(a,g){if("number"!==a.ctype)return k;for(var c=[],q=0;q<g.value.length;q++){var b=g.value[q]; +c[q]="number"===b.ctype?w.div(b,a):"list"===b.ctype?h.scaldiv(a,b):k}return{ctype:"list",value:c}};h.scalmult=function(a,g){if("number"!==a.ctype)return k;for(var c=[],q=0;q<g.value.length;q++){var b=g.value[q];c[q]="number"===b.ctype?w.mult(b,a):"list"===b.ctype?h.scalmult(a,b):k}return{ctype:"list",value:c}};h.add=function(a,g){if(a.value.length!==g.value.length)return k;for(var c=[],q=0;q<a.value.length;q++){var b=a.value[q],d=g.value[q];c[q]="number"===b.ctype&&"number"===d.ctype?w.add(b,d):"list"=== +b.ctype&&"list"===d.ctype?h.add(b,d):k}return{ctype:"list",value:c}};h.sub=function(a,g){if(a.value.length!==g.value.length)return k;for(var c=[],q=0;q<a.value.length;q++){var b=a.value[q],d=g.value[q];c[q]="number"===b.ctype&&"number"===d.ctype?m.sub(b,d):"list"===b.ctype&&"list"===d.ctype?h.sub(b,d):k}return{ctype:"list",value:c}};h.abs2=function(a){for(var g=0,c=0;c<a.value.length;c++){var q=a.value[c];if("number"===q.ctype)g+=m.abs2(q).value.real;else if("list"===q.ctype)g+=h.abs2(q).value.real; +else return k}return{ctype:"number",value:{real:g,imag:0}}};h.abs=function(a){return m.sqrt(h.abs2(a))};h.normalizeMaxXX=function(a){for(var g=-1E4,c=m.real(1),q=0;q<a.value.length;q++){var b=m.abs(a.value[q]);b.value.real>g&&(c=a.value[q],g=b.value.real)}return h.scaldiv(c,a)};h.recursive=function(a,g){for(var c=[],q=0;q<a.value.length;q++){var b=B(a.value[q]);c[q]="number"===b.ctype?m[g](b):"list"===b.ctype?h[g](b):k}return{ctype:"list",value:c}};h.re=function(a){return h.recursive(a,"re")};h.neg= +function(a){return h.recursive(a,"neg")};h.im=function(a){return h.recursive(a,"im")};h.conjugate=function(a){return h.recursive(a,"conjugate")};h.transjugate=function(a){return h.transpose(h.conjugate(a))};h.round=function(a){return h.recursive(a,"round")};h.ceil=function(a){return h.recursive(a,"ceil")};h.floor=function(a){return h.recursive(a,"floor")};h._helper.colNumb=function(a){if("list"!==a.ctype)return-1;for(var g=-1,c=0;c<a.value.length;c++){if("list"!==a.value[c].ctype)return-1;if(0=== +c)g=a.value[c].value.length;else if(g!==a.value[c].value.length)return-1}return g};h._helper.isNumberVecN=function(a,g){if("list"!==a.ctype||a.value.length!==g)return!1;for(var c=0;c<a.value.length;c++)if("number"!==a.value[c].ctype)return!1;return!0};h.isNumberVector=function(a){if("list"!==a.ctype)return{ctype:"boolean",value:!1};for(var g=0;g<a.value.length;g++)if("number"!==a.value[g].ctype)return{ctype:"boolean",value:!1};return{ctype:"boolean",value:!0}};h.isNumberVectorN=function(a,g){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}};h.isNumberMatrix=function(a){if(-1===h._helper.colNumb(a))return{ctype:"boolean",value:!1};for(var g=0;g<a.value.length;g++)if(!h.isNumberVector(a.value[g]).value)return{ctype:"boolean",value:!1};return{ctype:"boolean",value:!0}};h._helper.isNumberMatrixMN=function(a,g,c){return h.isNumberMatrix(a).value&&a.value.length=== +g&&a.value[0].value.length===c};h.scalproduct=function(a,g){if(a.value.length!==g.value.length)return k;for(var c={ctype:"number",value:{real:0,imag:0}},q=0;q<g.value.length;q++){var b=a.value[q],d=g.value[q];if("number"===b.ctype&&"number"===d.ctype)c=m.add(m.mult(b,d),c);else return k}return c};h.sesquilinearproduct=function(a,g){if(a.value.length!==g.value.length)return k;for(var c=0,q=0,b=0;b<g.value.length;b++)var d=a.value[b].value,h=g.value[b].value,c=c+(d.real*h.real+d.imag*h.imag),q=q+(d.real* +h.imag-d.imag*h.real);return m.complex(c,q)};h.normSquared=function(a){for(var g=0,c=0;c<a.value.length;c++)var q=a.value[c].value,g=g+(q.real*q.real+q.imag*q.imag);return m.real(g)};h.productMV=function(a,g){if(a.value[0].value.length!==g.value.length)return k;for(var c=[],q=0;q<a.value.length;q++){for(var b={ctype:"number",value:{real:0,imag:0}},d=a.value[q],e=0;e<g.value.length;e++){var f=d.value[e],l=g.value[e];if("number"===f.ctype&&"number"===l.ctype)b=m.add(m.mult(f,l),b);else return k}c[q]= +b}return h.turnIntoCSList(c)};h.productVM=function(a,g){if(a.value.length!==g.value.length)return k;for(var c=[],q=0;q<g.value[0].value.length;q++){for(var b={ctype:"number",value:{real:0,imag:0}},d=0;d<a.value.length;d++){var e=a.value[d],f=g.value[d].value[q];if("number"===e.ctype&&"number"===f.ctype)b=m.add(m.mult(e,f),b);else return k}c[q]=b}return h.turnIntoCSList(c)};h.productMM=function(a,g){if(a.value[0].value.length!==g.value.length)return k;for(var c=[],q=0;q<a.value.length;q++){var b=h.productVM(a.value[q], +g);c[q]=b}return h.turnIntoCSList(c)};h.mult=function(a,g){return a.value.length===g.value.length&&h.isNumberVector(a).value&&h.isNumberVector(g).value?h.scalproduct(a,g):h.isNumberMatrix(a).value&&g.value.length===a.value[0].value.length&&h.isNumberVector(g).value?h.productMV(a,g):h.isNumberMatrix(g).value&&a.value.length===g.value.length&&h.isNumberVector(a).value?h.productVM(a,g):h.isNumberMatrix(a).value&&h.isNumberMatrix(g).value&&g.value.length===a.value[0].value.length?h.productMM(a,g):k}; +h.projectiveDistMinScal=function(a,g){var c=h.abs(a),q=h.abs(g);if(0===c.value.real||0===q.value.real)return 0;var b=h.conjugate(g),b=h.scalproduct(a,b),b=m._helper.isAlmostZero(b)?m.real(1):m.div(b,m.abs(b)),c=h.scaldiv(c,a),q=h.scaldiv(q,g),q=h.scalmult(b,q),b=h.abs(h.add(c,q)),q=h.abs(h.sub(c,q));return Math.min(b.value.real,q.value.real)};h.conicDist=function(a,g){var c=u(a),q=u(g);console.log(Z(c),Z(q));return h.projectiveDistMinScal(c,q)};h.crossOperator=function(a){var g=a.value[0],c=a.value[1]; +a=a.value[2];return h.turnIntoCSList([h.turnIntoCSList([m.zero,m.neg(a),c]),h.turnIntoCSList([a,m.zero,m.neg(g)]),h.turnIntoCSList([m.neg(c),g,m.zero])])};h.cross=function(a,g){var c=m.sub(m.mult(a.value[1],g.value[2]),m.mult(a.value[2],g.value[1])),q=m.sub(m.mult(a.value[2],g.value[0]),m.mult(a.value[0],g.value[2])),b=m.sub(m.mult(a.value[0],g.value[1]),m.mult(a.value[1],g.value[0]));return h.turnIntoCSList([c,q,b])};h.crossratio3harm=function(a,g,c,q,b){var d=h.det3(a,c,b),e=h.det3(g,q,b);a=h.det3(a, +q,b);g=h.det3(g,c,b);d=m.mult(d,e);e=m.mult(a,g);return h.turnIntoCSList([d,e])};h.crossratio3=function(a,g,c,q,b){a=h.crossratio3harm(a,g,c,q,b);return m.div(a.value[0],a.value[1])};h.veronese=function(a){var g=m.mult(a.value[0],a.value[0]),c=m.mult(a.value[1],a.value[1]),q=m.mult(a.value[2],a.value[2]),b=m.mult(a.value[0],a.value[1]),d=m.mult(a.value[0],a.value[2]);a=m.mult(a.value[1],a.value[2]);return h.turnIntoSCList([g,c,q,b,d,a])};h.matrixFromVeronese=function(a){var g=a.value[0],c=a.value[1], +q=a.value[2],b=m.realmult(.5,a.value[3]),d=m.realmult(.5,a.value[4]);a=m.realmult(.5,a.value[5]);return h.turnIntoCSList([h.turnIntoCSList([g,b,d]),h.turnIntoCSList([b,c,a]),h.turnIntoCSList([d,a,q])])};h.det2=function(a,g){var c=m.mult(a.value[0],g.value[1]);return c=m.sub(c,m.mult(a.value[1],g.value[0]))};h.det3=function(a,g,c){return m.complex(a.value[0].value.real*g.value[1].value.real*c.value[2].value.real-a.value[0].value.imag*g.value[1].value.imag*c.value[2].value.real-a.value[0].value.imag* +g.value[1].value.real*c.value[2].value.imag-a.value[0].value.real*g.value[1].value.imag*c.value[2].value.imag+a.value[2].value.real*g.value[0].value.real*c.value[1].value.real-a.value[2].value.imag*g.value[0].value.imag*c.value[1].value.real-a.value[2].value.imag*g.value[0].value.real*c.value[1].value.imag-a.value[2].value.real*g.value[0].value.imag*c.value[1].value.imag+a.value[1].value.real*g.value[2].value.real*c.value[0].value.real-a.value[1].value.imag*g.value[2].value.imag*c.value[0].value.real- +a.value[1].value.imag*g.value[2].value.real*c.value[0].value.imag-a.value[1].value.real*g.value[2].value.imag*c.value[0].value.imag-a.value[0].value.real*g.value[2].value.real*c.value[1].value.real+a.value[0].value.imag*g.value[2].value.imag*c.value[1].value.real+a.value[0].value.imag*g.value[2].value.real*c.value[1].value.imag+a.value[0].value.real*g.value[2].value.imag*c.value[1].value.imag-a.value[2].value.real*g.value[1].value.real*c.value[0].value.real+a.value[2].value.imag*g.value[1].value.imag* +c.value[0].value.real+a.value[2].value.imag*g.value[1].value.real*c.value[0].value.imag+a.value[2].value.real*g.value[1].value.imag*c.value[0].value.imag-a.value[1].value.real*g.value[0].value.real*c.value[2].value.real+a.value[1].value.imag*g.value[0].value.imag*c.value[2].value.real+a.value[1].value.imag*g.value[0].value.real*c.value[2].value.imag+a.value[1].value.real*g.value[0].value.imag*c.value[2].value.imag,-a.value[0].value.imag*g.value[1].value.imag*c.value[2].value.imag+a.value[0].value.imag* +g.value[1].value.real*c.value[2].value.real+a.value[0].value.real*g.value[1].value.real*c.value[2].value.imag+a.value[0].value.real*g.value[1].value.imag*c.value[2].value.real-a.value[2].value.imag*g.value[0].value.imag*c.value[1].value.imag+a.value[2].value.imag*g.value[0].value.real*c.value[1].value.real+a.value[2].value.real*g.value[0].value.real*c.value[1].value.imag+a.value[2].value.real*g.value[0].value.imag*c.value[1].value.real-a.value[1].value.imag*g.value[2].value.imag*c.value[0].value.imag+ +a.value[1].value.imag*g.value[2].value.real*c.value[0].value.real+a.value[1].value.real*g.value[2].value.real*c.value[0].value.imag+a.value[1].value.real*g.value[2].value.imag*c.value[0].value.real+a.value[0].value.imag*g.value[2].value.imag*c.value[1].value.imag-a.value[0].value.imag*g.value[2].value.real*c.value[1].value.real-a.value[0].value.real*g.value[2].value.real*c.value[1].value.imag-a.value[0].value.real*g.value[2].value.imag*c.value[1].value.real+a.value[2].value.imag*g.value[1].value.imag* +c.value[0].value.imag-a.value[2].value.imag*g.value[1].value.real*c.value[0].value.real-a.value[2].value.real*g.value[1].value.real*c.value[0].value.imag-a.value[2].value.real*g.value[1].value.imag*c.value[0].value.real+a.value[1].value.imag*g.value[0].value.imag*c.value[2].value.imag-a.value[1].value.imag*g.value[0].value.real*c.value[2].value.real-a.value[1].value.real*g.value[0].value.real*c.value[2].value.imag-a.value[1].value.real*g.value[0].value.imag*c.value[2].value.real)};h.det4m=function(a){var g= +a.value,c=g[0].value,q=c[0].value,b=+q.real,d=+q.imag,q=c[1].value,h=+q.real,e=+q.imag,q=c[2].value,f=+q.real,k=+q.imag,q=c[3].value,l=+q.real,n=+q.imag,c=g[1].value,q=c[0].value,p=+q.real,r=+q.imag,q=c[1].value,t=+q.real,v=+q.imag,q=c[2].value,u=+q.real,w=+q.imag,q=c[3].value,c=+q.real,q=+q.imag;a=b*t-d*v-h*p+e*r;var x=b*v+d*t-h*r-e*p,y=b*u-d*w-f*p+k*r,A=b*w+d*u-f*r-k*p,z=b*c-d*q-l*p+n*r,B=b*q+d*c-l*r-n*p,C=h*u-e*w-f*t+k*v,D=h*w+e*u-f*v-k*t,F=h*c-e*q-l*t+n*v,E=h*q+e*c-l*v-n*t,G=f*c-k*q-l*u+n*w,H= +f*q+k*c-l*w-n*u,c=g[2].value,q=c[0].value,b=+q.real,d=+q.imag,q=c[1].value,h=+q.real,e=+q.imag,q=c[2].value,f=+q.real,k=+q.imag,q=c[3].value,l=+q.real,n=+q.imag,c=g[3].value,q=c[0].value,p=+q.real,r=+q.imag,q=c[1].value,t=+q.real,v=+q.imag,q=c[2].value,u=+q.real,w=+q.imag,q=c[3].value,c=+q.real,q=+q.imag,g=b*t-d*v-h*p+e*r,L=b*v+d*t-h*r-e*p,J=b*u-d*w-f*p+k*r,M=b*w+d*u-f*r-k*p,N=b*c-d*q-l*p+n*r,b=b*q+d*c-l*r-n*p,d=h*u-e*w-f*t+k*v,p=h*w+e*u-f*v-k*t,r=h*c-e*q-l*t+n*v,h=h*q+e*c-l*v-n*t,e=f*c-k*q-l*u+n* +w,f=f*q+k*c-l*w-n*u;return m.complex(a*e-x*f-y*r+A*h+z*d-B*p+C*N-D*b-F*J+E*M+G*g-H*L,a*f+x*e-y*h-A*r+z*p+B*d+C*b+D*N-F*M-E*J+G*L+H*g)};h.eucangle=function(a,g){var c=h.cross(a,h.linfty),q=h.cross(g,h.linfty),b=h.det3(h.ez,c,h.ii),c=h.det3(h.ez,c,h.jj),d=h.det3(h.ez,q,h.ii),q=h.det3(h.ez,q,h.jj),b=m.div(m.mult(b,q),m.mult(d,c)),b=m.log(b);return b=m.mult(b,m.complex(0,.5))};h.zerovector=function(a){a=Math.floor(a.value.real);for(var g=Array(a),c=0;c<a;c++)g[c]=0;return h.realVector(g)};h.zeromatrix= +function(a,g){for(var c=Math.floor(a.value.real),q=Array(c),b=0;b<c;b++)q[b]=h.zerovector(g);return h.turnIntoCSList(q)};h.vandermonde=function(a){for(var g=a.value.length,c=h.zeromatrix(g,g),q=0;q<g;q++)for(var b=0;b<g;b++)c.value[q].value[b]=m.pow(a.value[q],m.real(b-1));return c};h.transpose=function(a){for(var g=[],c=a.value[0].value.length,q=a.value.length,b=0;b<c;b++){for(var d=[],e=0;e<q;e++)d[e]=a.value[e].value[b];g[b]=h.turnIntoCSList(d)}return h.turnIntoCSList(g)};h.column=function(a,g){for(var c= +[],q=a.value.length,b=Math.floor(g.value.real-1),d=0;d<q;d++)c[d]=a.value[d].value[b];return h.turnIntoCSList(c)};h.row=function(a,g){for(var c=[],q=a.value[0].value.length,b=Math.floor(g.value.real-1),d=0;d<q;d++)c[d]=a.value[b].value[d];return h.turnIntoCSList(c)};h.adjoint2=function(a){var g=a.value[0].value[0],c=a.value[1].value[0],q=Array(2);q[0]=h.turnIntoCSList([a.value[1].value[1],m.neg(a.value[0].value[1])]);q[1]=h.turnIntoCSList([m.neg(c),g]);return q=h.turnIntoCSList(q)};h.adjoint3=function(a){var g, +c,q,b,d,h,e,f,m,k,l,n,p,r,t,v,u;g=a.value[0].value;c=g[0].value;q=c.real;b=c.imag;c=g[1].value;d=c.real;h=c.imag;c=g[2].value;e=c.real;f=c.imag;g=a.value[1].value;c=g[0].value;m=c.real;k=c.imag;c=g[1].value;l=c.real;n=c.imag;c=g[2].value;p=c.real;r=c.imag;g=a.value[2].value;c=g[0].value;a=c.real;t=c.imag;c=g[1].value;v=c.real;u=c.imag;c=g[2].value;g=c.real;c=c.imag;return{ctype:"list",value:[{ctype:"list",value:[{ctype:"number",value:{real:l*g-p*v-n*c+r*u,imag:l*c-p*u-v*r+g*n}},{ctype:"number",value:{real:-d* +g+e*v+h*c-f*u,imag:-d*c+e*u+v*f-g*h}},{ctype:"number",value:{real:d*p-e*l-h*r+f*n,imag:d*r-e*n-l*f+p*h}}]},{ctype:"list",value:[{ctype:"number",value:{real:-m*g+p*a+k*c-r*t,imag:-m*c+p*t+a*r-g*k}},{ctype:"number",value:{real:q*g-e*a-b*c+f*t,imag:q*c-e*t-a*f+g*b}},{ctype:"number",value:{real:-q*p+e*m+b*r-f*k,imag:-q*r+e*k+m*f-p*b}}]},{ctype:"list",value:[{ctype:"number",value:{real:m*v-l*a-k*u+n*t,imag:m*u-l*t-a*n+v*k}},{ctype:"number",value:{real:-q*v+d*a+b*u-h*t,imag:-q*u+d*t+a*h-v*b}},{ctype:"number", +value:{real:q*l-d*m-b*n+h*k,imag:q*n-d*k-m*h+l*b}}]}]}};h.inverse=function(a){var g=a.value.length;if(g!==a.value[0].value.length)return console.log("Inverse works only for square matrices"),k;if(2===g)return h.scaldiv(h.det(a),h.adjoint2(a));if(3===g)return h.scaldiv(h.det(a),h.adjoint3(a));g=h.LUdecomp(a);a=a.value.length;var c=m.real(0),q=m.real(1),b=h.zerovector(m.real(a));b.value[0]=q;for(var d=Array(a),e=0;e<a;e++)d[e]=h._helper.LUsolve(g,b),b.value[e]=c,b.value[e+1]=q;d=h.turnIntoCSList(d); +return d=h.transpose(d)};h.linearsolve=function(a,g){return 2===a.value.length?h.linearsolveCramer2(a,g):3===a.value.length?h.linearsolveCramer3(a,g):h.LUsolve(a,g)};h.getDiag=function(a){if(a.value.length!==a.value[0].value.length)return k;for(var g=Array(a.value.length),c=0;c<a.value.length;c++)g[c]=a.value[c].value[c];return h.turnIntoCSList(g)};h.getSubDiag=function(a){if(a.value.length!==a.value[0].value.length)return k;for(var g=Array(a.value.length-1),c=0;c<a.value.length-1;c++)g[c]=a.value[c+ +1].value[c];return h.turnIntoCSList(g)};h.eig2=function(a){var g=m.add(a.value[0].value[0],a.value[1].value[1]);a=h.det2(a.value[0],a.value[1]);var c=m.mult(g,g),b=g=m.mult(g,m.real(.5));a=m.sqrt(m.sub(m.div(c,m.real(4)),a));g=m.add(g,a);b=m.sub(b,a);return h.turnIntoCSList([g,b])};h.eig=function(a,g){var c=g||!0,b=a,d=m.real(b.value.length),e=d.value.real;m.real(0);var b=h._helper.QRIteration(b)[0],b=h.getDiag(b),b=h.sort1(b),d=h.idMatrix(d,d),f=Array(e),f=h.turnIntoCSList(f);if(c){for(var k,l,n, +p=0,r=!1,c=0;c<e;c++)r?l=k.value[p]:(k=b.value[c],k=h.sub(a,h.scalmult(k,d)),k=h.nullSpace(k),l=k.value[0],void 0!==l&&(n=l)),void 0===l&&(l=n),1E-8>h.abs(l).value.real&&0===p&&(l=h._helper.inverseIteration(a,b.value[c])),f.value[c]=h._helper.isAlmostZeroVec(l)?l:h.scaldiv(h.abs(l),l),c<e-1&&((r=1E-6>m.abs(m.sub(b.value[c],b.value[c+1])).value.real)?p++:p=0);f=h.transpose(f)}return h.turnIntoCSList([b,f])};h._helper.isNormalMatrix=function(a){return 1E-10>h.abs(h.sub(a,h.transjugate(a))).value.real}; +h._helper.QRIteration=function(a,g){var c,b=a;c=m.real(b.value.length);var d=c.value.real,e=c.value.real;m.real(0);var f;h.idMatrix(c,c);var k=h.zeromatrix(c,c),l=h.idMatrix(c,c),n=g?g:2500,p,r,t,v=0,u=Array(e);for(c=0;c<n;c++){f=h._helper.getBlock(b,[e-2,e-1],[e-2,e-1]);p=h.eig2(f);f=p.value[0];p=p.value[1];h.abs(f);h.abs(p);r=b.value[e-1].value[e-1];t=m.abs(m.sub(r,f)).value.real;r=m.abs(m.sub(r,p)).value.real;p=t<r?f:p;f=h.idMatrix(m.real(e),m.real(e));p=h.scalmult(p,f);f=h.QRdecomp(h.sub(b,p)); +b=w.mult(f.R,f.Q);b=h.add(b,p);f.Q=h._helper.buildBlockMatrix(f.Q,h.idMatrix(m.real(v),m.real(v)));l=w.mult(l,f.Q);if(1E-48>m.abs2(b.value[b.value.length-1].value[b.value[0].value.length-2]).value.real&&1<e){u[d-v-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=h._helper.getBlock(b,[0,e-2],[0,e-2]);v++;e--}if(1===e){k.value[0].value[0]=b.value[0].value[0];break}if(h._helper.isUpperTriangular(b)){for(c=0;c<e;c++)k.value[c].value[c]= +b.value[c].value[c];break}}return[k,l]};h.rank=function(a,g){return h.RRQRdecomp(a,g).rank};h._helper.isAlmostZeroVec=function(a){for(var g=a.value.length,c=0;c<g;c++)if(!m._helper.isAlmostZero(a.value[c]))return!1;return!0};h._helper.isLowerTriangular=function(a){for(var g=a.value.length,c=a.value[0].value.length,b=0;b<g;b++)for(var d=b+1;d<c;d++)if(!m._helper.isAlmostZero(a.value[b].value[d]))return!1;return!0};h._helper.isUpperTriangular=function(a){return h._helper.isLowerTriangular(h.transpose(a))}; +h._helper.isAlmostId=function(a){var g=a.value.length,c=m.real(g);if(g!==a.value[0].value.length)return!1;a=h.sub(a,h.idMatrix(c),c);for(c=0;c<g;c++)for(var b=0;b<g;b++)if(1E-16<m.abs(a.value[c].value[b]).value.real)return!1;return!0};h.nullSpace=function(a,g){var c=a.value.length,b=h.RRQRdecomp(h.transjugate(a),g),d=h.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]=h.scaldiv(h.abs(f),f);e=h.turnIntoCSList(e);return 0<e.value.length?e:h.turnIntoCSList([h.zerovector(m.real(c))])}; +h._helper.isAlmostDiagonal=function(a){var g=a.value.length;m.real(g);m.real(0);if(g!==a.value[0].value.length)return!1;for(var c=0;c<g;c++)for(var b=0;b<g;b++)if(c!==b&&1E-16<m.abs(a.value[c].value[b]).value.real)return!1;return!0};h._helper.inverseIteration=function(a,g){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=h.realVector(b),c=h.idMatrix(m.real(c),m.real(c)),d=m.add(g,m.real(.1*Math.random()-.5)),e=0;100>e;e++)b=h.scaldiv(h.abs(b), +b),b=h.LUsolve(h.sub(a,h.scalmult(d,c)),JSON.parse(JSON.stringify(b)));return h.scaldiv(h.abs(b),b)};h._helper.toHessenberg=function(a){var g=JSON.parse(JSON.stringify(a)),c=g.value.length,b=m.real(c-1),d=m.real(c);m.real(1);if(h._helper.isUpperTriangular(g))return[h.idMatrix(b,b),a];var e;a=h.idMatrix(d,d);for(var f,d=1;d<c-1;d++)e=h.column(g,m.real(d)),e.value=e.value.splice(d),f=h.abs2(e).value.real,1E-16<f&&(e=h._helper.getHouseHolder(e),a=w.mult(a,e),g=w.mult(w.mult(e,g),e)),b.value.real--;return[a, +g]};h._helper.swapEl=function(a,g,c){var b;"[object Array]"===Object.prototype.toString.call(a)?(b=a[g],a[g]=a[c],a[c]=b):"list"===a.ctype&&(b=a.value[g],a.value[g]=a.value[c],a.value[c]=b)};h.RRQRdecomp=function(a,g){var c=Math.sqrt(m.eps);void 0!==g&&(c=.1*g.value.real);var c=c*c,b,d=a.value.length,e=m.real(d),f=m.real(1),k=h._helper.unitvector(m.real(a.value.length),f),l=h.idMatrix(e,e),n=JSON.parse(JSON.stringify(a)),p=h.transpose(a),r=Array(d);for(b=0;b<d;b++)r[b]=h.abs2(p.value[b]);r=h.turnIntoCSList(r); +p=Array(d);for(b=0;b<d;b++)p[b]=b;b=h.maxIndex(r,m.abs);for(var 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c=B(a[0]);return"number"===c.ctype?m.sqrt(c):k};D.laguerre=function(a, +g,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"!==g.ctype)return k;for(var h=[1,.3141,.5926,.5358,.9793,.2385,.6264,.3383,.2795,.0288],e,f,l,n=1;n<=c;n++){f=l=m.zero;e=a.value[b];for(d=b-1;0<=d;d--)l=m.add(f,m.mult(l,g)),f=m.add(e,m.mult(f,g)),e=m.add(a.value[d],m.mult(e,g));if(m._helper.isLessThan(m.abs(e),m.real(1E-14)))break;d=m.div(f,e);f=m.mult(d,d);e=m.sub(f,m.div(m.mult(m.real(2),l),e));l=m.sqrt(m.mult(m.real(b- +1),m.sub(m.mult(m.real(b),e),f)));e=m.add(d,l);d=m.sub(d,l);m._helper.isLessThan(m.abs(e),m.abs(d))&&(e=d);d=m._helper.isLessThan(m.real(1E-14),m.abs(e))?m.div(m.real(b),e):m.mult(m.add(m.abs(g),m.one),m.complex(Math.cos(n),Math.sin(n)));if(m._helper.isLessThan(m.abs(d),m.real(1E-14)))break;0===n%20&&n<c-19&&(d=m.mult(d,m.real(h[Math.floor(n/20)])));g=m.sub(g,d)}return g};D.quadratic_roots=function(a){if("list"!==a.ctype)return k;var g=a.value[2],c=a.value[1];a=a.value[0];if(m._helper.isZero(a))return[m.zero, +m.neg(m.div(c,g))];var b=m.sqrt(m.sub(m.mult(c,c),m.mult(m.real(4),m.mult(g,a))));0<=m.re(c)&&(b=m.neg(b));return[m.div(m.sub(b,c),m.mult(m.real(2),g)),m.div(m.mult(m.real(2),a),m.sub(b,c))]};D.roots=function(a){var g=[],c=a,b=a.value.length-1;if(0>=b)return h.turnIntoCSList([]);if(m._helper.isZero(a.value[b]))return g=D.roots(h.turnIntoCSList(a.value.slice(0,b))),h.append(g,m.infinity);if(1===b)g[0]=m.neg(m.div(a.value[0],a.value[1]));else if(2===b)g=D.quadratic_roots(a);else{for(var d=0;d<b-2;d++){g[d]= +D.laguerre(a,m.zero,200);g[d]=D.laguerre(c,g[d],1);var e=[];e[b-d]=a.value[b-d];for(var f=b-d;0<f;f--)e[f-1]=m.add(a.value[f-1],m.mult(e[f],g[d]));e.shift();a=h.turnIntoCSList(e)}a=D.quadratic_roots(a);g[b-2]=a[0];g[b-1]=a[1]}return h.turnIntoCSList(g)};t.roots$1=function(a,g){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 h.sort1(c)}return k};t.autodiff$3=function(a,g){var c="x",b;if("function"===a[0].ctype)b=db[a[0].oper].body, +c=a[0].args[0].name;else if("function"===typeof a[0].impl)b=a[0];else return ka("could not parse function"),k;var d=B(a[1]),h=B(a[2]);if(1>h.value.real)return ka("grade cant be < 1"),k;h=m.add(h,m.real(1));return P.autodiff(b,c,d,h)};t.cos$1=function(a,g){var c=B(a[0]);return"number"===c.ctype?m.cos(c):k};t.tan$1=function(a,g){var c=B(a[0]);return"number"===c.ctype?m.tan(c):k};t.arccos$1=function(a,g){var c=B(a[0]);return"number"===c.ctype?m.arccos(c):k};t.arcsin$1=function(a,g){var c=B(a[0]);return"number"=== +c.ctype?m.arcsin(c):k};t.arctan$1=function(a,g){var c=B(a[0]);return"number"===c.ctype?m.arctan(c):k};t.arctan2$2=function(a,g){var c=B(a[0]),b=B(a[1]);return"number"===c.ctype&&"number"===b.ctype?m.arctan2(c,b):k};t.arctan2$1=function(a,g){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,g)}else if("number"===c.ctype)return m.arctan2(c);return k};t.log$1=function(a,g){var c=B(a[0]);return"number"===c.ctype?m.log(c): +k};D.recursiveGen=function(a){var g=m[a],c=h[a];t[a+"$1"]=function(a,b){var d=B(a[0]);return"number"===d.ctype?g(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,g){return m.real(m._helper.rand())};t.random$1=function(a,g){var c=B(a[0]);return"number"===c.ctype?m.complex(c.value.real*m._helper.rand(),c.value.imag*m._helper.rand()): +k};t.seedrandom$1=function(a,g){var c=B(a[0]);"number"===c.ctype&&m._helper.seedrandom(c.value.real);return k};t.randomnormal$0=function(a,g){return m.real(m._helper.randnormal())};t.randominteger$1=function(a,g){var c=B(a[0]);if("number"===c.ctype){var b=c.value.real|0,c=c.value.imag|0,b=b*m._helper.rand()|0,c=c*m._helper.rand()|0;return m.complex(b,c)}return k};t.randomint$1=t.randominteger$1;t.randombool$0=function(a,g){return.5<m._helper.rand()?{ctype:"boolean",value:!0}:{ctype:"boolean",value:!1}}; +t.isreal$1=function(a,g){var c=z(a[0]);return"number"===c.ctype&&m._helper.isAlmostReal(c)?{ctype:"boolean",value:!0}:{ctype:"boolean",value:!1}};t.isinteger$1=function(a,g){var c=z(a[0]);return"number"===c.ctype&&m._helper.isAlmostReal(c)&&c.value.real===Math.floor(c.value.real)?{ctype:"boolean",value:!0}:{ctype:"boolean",value:!1}};t.iseven$1=function(a,g){var c=z(a[0]);return"number"===c.ctype&&m._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,g){var c=z(a[0]);return"number"===c.ctype&&m._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,g){return"number"===z(a[0]).ctype?{ctype:"boolean",value:!0}:{ctype:"boolean",value:!1}};t.isstring$1=function(a,g){return"string"===z(a[0]).ctype?{ctype:"boolean",value:!0}:{ctype:"boolean",value:!1}};t.islist$1=function(a,g){return"list"===z(a[0]).ctype?{ctype:"boolean", +value:!0}:{ctype:"boolean",value:!1}};t.ismatrix$1=function(a,g){var c=z(a[0]);return-1!==h._helper.colNumb(c)?{ctype:"boolean",value:!0}:{ctype:"boolean",value:!1}};t.iscircle$1=function(a,g){var c=z(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,g){var c=z(a[0]);return"geo"===c.ctype&&"C"===c.value.kind?{ctype:"boolean",value:!0}:{ctype:"boolean",value:!1}};t.isline$1=function(a,g){var c= +z(a[0]);return"geo"===c.ctype&&"L"===c.value.kind?{ctype:"boolean",value:!0}:{ctype:"boolean",value:!1}};t.ispoint$1=function(a,g){var c=z(a[0]);return"geo"===c.ctype&&"P"===c.value.kind?{ctype:"boolean",value:!0}:{ctype:"boolean",value:!1}};t.isgeometric$1=function(a,g){return"geo"===z(a[0]).ctype?{ctype:"boolean",value:!0}:{ctype:"boolean",value:!1}};t.isnumbermatrix$1=function(a,g){var c=z(a[0]);return h.isNumberMatrix(c)};t.isnumbervector$1=function(a,g){var c=z(a[0]);return h.isNumberVector(c)}; +t.issun$1=function(a,g){var c=z(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,g){var c=z(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,g){var c=z(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,g){var c=z(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,g){return"undefined"===z(a[0]).ctype?{ctype:"boolean",value:!0}:{ctype:"boolean",value:!1}};var Od={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,g){var c=z(a[0]);if("geo"===c.ctype){var c=c.value,b=c.type,d=B(g.compatibility);"string"=== +d.ctype&&/^cinderella$/i.test(d.value)&&(/^Select/.test(b)&&(c=v.csnames[c.args[0]],b=c.type),Od.hasOwnProperty(b)?b=Od[b]:"CircleMr"===b&&(b=c.pinned?"CircleByFixedRadius":"CircleByRadius"));return w.string(b)}return k};t.inputs$1=function(a,g){var c=z(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:v.csnames[a]}}));if(/^Select/.test(b)||l[b].isMovable)switch(c.kind){case "P":case "L":d.push(c.homog);break;case "C":d.push(c.matrix)}return h.turnIntoCSList(d)}return k}; +t.moveto$2=function(a,g){var c=z(a[0]),b=B(a[1]);"geo"===c.ctype&&(c=c.value,h._helper.isNumberVecN(b,2)?ta.setField(c,"xy",b):h._helper.isNumberVecN(b,3)&&ta.setField(c,"homog",b));return k};t.continuefromhere$0=function(a,g){zb();return k};t.matrixrowcolumn$1=function(a,g){var c=z(a[0]);return-1!==h._helper.colNumb(c)?h.realVector([c.value.length,c.value[0].value.length]):k};t.rowmatrix$1=function(a,g){var c=z(a[0]);return"list"===c.ctype?h.turnIntoCSList([c]):k};t.columnmatrix$1=function(a,g){var c= +z(a[0]);return"list"===c.ctype?h.turnIntoCSList(c.value.map(function(a){return h.turnIntoCSList([a])})):k};t.submatrix$3=function(a,g){var c=z(a[0]),b=z(a[1]),d=z(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),h.turnIntoCSList(a)});return f?h.turnIntoCSList(c): +k}return k};t.complex$1=function(a,g){var c,b,d;d=B(a[0]);if("list"===d.ctype&&h.isNumberVector(d)){if(2===d.value.length)return c=d.value[0],b=d.value[1],m.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=m.div(c,d),b=m.div(b,d),m.complex(c.value.real-b.value.imag,b.value.real+c.value.imag)}return k};t.gauss$1=function(a,g){var c=B(a[0]);return"number"===c.ctype?h.realVector([c.value.real,c.value.imag]):k};t.cross$2= +$c;t.crossratio$4=function(a,g){var c=z(a[0]),b=z(a[1]),d=z(a[2]),e=z(a[3]),f=K(c),l=K(b),n=K(d),p=K(e);return f!==k&&l!==k&&n!==k&&p!==k?h.crossratio3(f,l,n,p,h.ii):"number"===c.ctype&&"number"===b.ctype&&"number"===d.ctype&&"number"===e.ctype?m.div(m.mult(m.sub(c,d),m.sub(b,e)),m.mult(m.sub(c,e),m.sub(b,d))):k};t.para$2=function(a,g){var c=B(a[0]),b=B(a[1]),d=K(c),e=K(b);if(c!==k&&b!==k){var b=b.usage,f=d,m=e;if("Line"===c.usage||"Point"===b)f=e,m=d;c=h.cross(h.cross(h.linfty,m),f);return w.withUsage(c, +"Line")}return k};t.perp$2=function(a,g){var c=B(a[0]),b=B(a[1]),d=K(c),e=K(b);if(c!==k&&b!==k){var f=b.usage||e.usage,b=d,l=e;if("Line"===(c.usage||d.usage)||"Point"===f)b=e,l=d;c=h.turnIntoCSList([l.value[0],l.value[1],m.zero]);c=h.cross(c,b);return w.withUsage(c,"Line")}return k};t.perp$1=function(a,g){var c=B(a[0]);return h._helper.isNumberVecN(c,2)?h.turnIntoCSList([m.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, +g){var c=K(a[0]),b=K(a[1]);return c!==k&&b!==k?(c=h.cross(c,b),w.withUsage(c,"Point")):k};t.join$2=function(a,g){var c=K(a[0]),b=K(a[1]);return c!==k&&b!==k?(c=h.cross(c,b),w.withUsage(c,"Line")):k};t.dist$2=function(a,g){var c=B(a[0]),b=B(a[1]),c=jc([c,b],[]);return t.abs$1([c],[])};t.dist_infix=t.dist$2;t.point$1=function(a,g){var c=z(a[0]);return h._helper.isNumberVecN(c,3)||h._helper.isNumberVecN(c,2)?w.withUsage(c,"Point"):c};t.line$1=function(a,g){var c=z(a[0]);return h._helper.isNumberVecN(c, +3)?w.withUsage(c,"Line"):c};t.det$3=function(a,g){var c=K(a[0]),b=K(a[1]),d=K(a[2]);if(c!==k&&b!==k&&d!==k)return h.det3(c,b,d)};t.det$1=function(a,g){var c=B(a[0]);if("list"===c.ctype){var b=h._helper.colNumb(c);if(-1!==b&&b===c.value.length)return h.det(c)}return k};t.eig$1=function(a,g){var c=B(a[0]);if("list"===c.ctype){var b=h._helper.colNumb(c);if(-1!==b&&b===c.value.length)return h.eig(c)}return k};t.eigenvalues$1=function(a,g){var c=B(a[0]);if("list"===c.ctype){var b=h._helper.colNumb(c); +if(-1!==b&&b===c.value.length)return h.eig(c,!1).value[0]}return k};t.rank$1=function(a,g){var c=B(a[0]);if("list"===c.ctype){var b=h._helper.colNumb(c);if(-1!==b&&b===c.value.length)return h.rank(c,g.precision)}return k};t.kernel$1=function(a,g){var c=B(a[0]);if("list"===c.ctype){var b=h._helper.colNumb(c);if(-1!==b&&b===c.value.length)return c=h.nullSpace(c,g.precision),h.transpose(c)}return k};t.eigenvectors$1=function(a,g){var c=B(a[0]);if("list"===c.ctype){var b=h._helper.colNumb(c);if(-1!== +b&&b===c.value.length)return h.eig(c).value[1]}return k};t.area$3=function(a,g){var c=K(a[0]),b=K(a[1]),d=K(a[2]);if(c!==k&&b!==k&&d!==k){var e=c.value[2],f=b.value[2],l=d.value[2];if(!m._helper.isAlmostZero(e)&&!m._helper.isAlmostZero(f)&&!m._helper.isAlmostZero(l))return c=h.scaldiv(e,c),b=h.scaldiv(f,b),d=h.scaldiv(l,d),c=h.det3(c,b,d),m.realmult(.5,c)}return k};t.inverse$1=function(a,g){var c=B(a[0]);if("list"===c.ctype){var b=h._helper.colNumb(c);if(-1!==b&&b===c.value.length)return h.inverse(c)}return k}; +t.linearsolve$2=function(a,g){var c=B(a[0]),b=B(a[1]);if("list"===c.ctype){var d=h._helper.colNumb(c);if(-1!==d&&d===c.value.length&&h._helper.isNumberVecN(b,d))return h.linearsolve(c,b)}return k};var be=[[[]],[[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], 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c=z(a[0]);return"number"===c.ctype?(c=Math.min(1,Math.max(0,c.value.real)),h.realVector([c,c,c])):k};t.grey$1=t.gray$1;D.HSVtoRGB=function(a,g,c){var b,d,e,f,k,m;a&&void 0===g&&void 0===c&&(g=a.s,c=a.v,a=a.h);f=Math.floor(6*a);k=6*a-f;a=c*(1-g);m=c*(1-k*g);g=c*(1-(1-k)*g);switch(f%6){case 0:b= +c;d=g;e=a;break;case 1:b=m;d=c;e=a;break;case 2:b=a;d=c;e=g;break;case 3:b=a;d=m;e=c;break;case 4:b=g;d=a;e=c;break;case 5:b=c,d=a,e=m}return h.realVector([b,d,e])};t.hue$1=function(a,g){var c=z(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 g,c;if("circle"===a.type){g=a.value.value[0];g=w.div(g,g.value[2]);var b=g.value[0].value.real,d=g.value[1].value.real;a=a.value.value[1].value.real;c=Array(125);var h=2*Math.PI/125;for(g=0;125> 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k};t.pointcolor$1=function(a,g){var c=B(a[0]);"list"===c.ctype&&h.isNumberVector(c).value&& +y.setpointcolor(c);return k};t.alpha$1=function(a,g){var c=B(a[0]);"number"===c.ctype&&y.setalpha(c);return k};t.pointsize$1=function(a,g){var c=B(a[0]);"number"===c.ctype&&y.setpointsize(c);return k};t.linesize$1=function(a,g){var c=B(a[0]);"number"===c.ctype&&y.setlinesize(c);return k};t.textsize$1=function(a,g){var c=B(a[0]);"number"===c.ctype&&y.settextsize(c);return k};t.playanimation$0=function(a,g){M();return k};t.pauseanimation$0=function(a,g){Ga();return k};t.stopanimation$0=function(a,g){Ha(); +return k};t.text$1=function(a,g){var c=B(a[0]);return w.string(Z(c))};t.replace$3=function(a,g){var c=z(a[0]),b=z(a[1]),d=z(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,g){function c(a,c,g){var 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d=z(g.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,g){return t.international$2([a[0],null],g)};t.international$2=function(a,g){var c=z(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 h=z(a[1]),h="number"===h.ctype?h.value.real:0,b=(b._pluralFormFunction||ce)(h);return b<d.length?w.string(d[b]):c};t.currentlanguage$0=function(a,g){return w.string(p.language|| +"en")};D.basismap=function(a,g,c,b){var d=h.turnIntoCSList([a,g,c]),d=h.adjoint3(h.transpose(d));b=w.mult(d,b);d=h.turnIntoCSList([w.mult(b.value[0],a),w.mult(b.value[1],g),w.mult(b.value[2],c)]);return h.transpose(d)};t.map$8=function(a,g){var c=K(a[0]),b=K(a[1]),d=K(a[2]),e=K(a[3]),f=K(a[4]),m=K(a[5]),l=K(a[6]),n=K(a[7]);return f!==k&&m!==k&&l!==k&&n!==k&&c!==k&&b!==k&&d!==k&&e!==k?(f=D.basismap(f,m,l,n),c=D.basismap(c,b,d,e),c=w.mult(f,h.adjoint3(c)),h.normalizeMax(c)):k};t.map$6=function(a,g){var c= +K(a[0]),b=K(a[1]),d=K(a[2]),e=h.realVector([0,0,1]),f=h.cross,m=f(f(d,f(e,f(c,b))),f(b,f(e,f(c,d)))),l=K(a[3]),n=K(a[4]),p=K(a[5]),e=f(f(p,f(e,f(l,n))),f(n,f(e,f(l,p))));return l!==k&&n!==k&&p!==k&&e!==k&&c!==k&&b!==k&&d!==k&&m!==k?(l=D.basismap(l,n,p,e),c=D.basismap(c,b,d,m),c=w.mult(l,h.adjoint3(c)),h.normalizeMax(c)):k};t.map$4=function(a,g){var c=h.ii,b=h.jj,d=K(a[0]),e=K(a[1]),f=K(a[2]),m=K(a[3]);return f!==k&&m!==k&&d!==k&&e!==k?(f=D.basismap(f,m,c,b),c=D.basismap(d,e,c,b),c=w.mult(f,h.adjoint3(c)), 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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, 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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, 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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=v.csnames[a.args[0]].homog,c=v.csnames[a.args[1]].homog,b=h.turnIntoCSList([b.value[0],b.value[1],m.zero]);a.homog=h.cross(b,c);a.homog= +h.normalizeMax(a.homog);a.homog=w.withUsage(a.homog,"Line")};l.Para={};l.Para.kind="L";l.Para.signature=["L","P"];l.Para.updatePosition=function(a){var b=v.csnames[a.args[1]].homog;a.homog=h.cross(h.cross(h.linfty,v.csnames[a.args[0]].homog),b);a.homog=h.normalizeMax(a.homog);a.homog=w.withUsage(a.homog,"Line")};l.Horizontal={};l.Horizontal.kind="L";l.Horizontal.signature=["P"];l.Horizontal.updatePosition=function(a){a.homog=h.cross(h.ex,v.csnames[a.args[0]].homog);a.homog=h.normalizeMax(a.homog); 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b=X(3);T(b);a.homog=w.withUsage(b,"Line")};l.VerticalLine.stateSize=6;l.LineByFixedAngle={};l.LineByFixedAngle.kind="L";l.LineByFixedAngle.signature=["L","P"];l.LineByFixedAngle.initialize=function(a){var b=m._helper.input(a.angle),c=m.cos(b),b=m.sin(b);a.rot=h.turnIntoCSList([h.turnIntoCSList([b,c,m.zero]),h.turnIntoCSList([m.neg(c),b,m.zero]),h.turnIntoCSList([m.zero,m.zero, +m.zero])])};l.LineByFixedAngle.updatePosition=function(a){var b=v.csnames[a.args[1]],c=h.productMV(a.rot,v.csnames[a.args[0]].homog);a.homog=h.cross(b.homog,c);a.homog=h.normalizeMax(a.homog);a.homog=w.withUsage(a.homog,"Line")};l.Through={};l.Through.kind="L";l.Through.signature=["P"];l.Through.isMovable=!0;l.Through.initialize=function(a){a=a.dir?w.wrap(a.dir):h.realVector([a.pos[1],-a.pos[0],0]);T(a)};l.Through.getParamForInput=function(a,b,c){a="dir"===c||"mouse"===c?h.cross(v.csnames[a.args[0]].homog, +b):"homog"===c?b:h.turnIntoCSList([m.zero,m.zero,m.zero]);a=h.cross(h.linfty,a);return 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X(3)};l.Free.putParamToState=function(a,b){T(b)};l.Free.updatePosition=function(a){var b=X(3);T(b);a.homog=w.withUsage(b,"Point")};l.Free.stateSize=6;l._helper.projectPointToLine=function(a,b){var c=h.turnIntoCSList([b.value[0],b.value[1],m.zero]),c=h.cross(c,a);return h.normalizeMax(h.cross(c,b))};l.PointOnLine={};l.PointOnLine.kind="P";l.PointOnLine.signature=["L"];l.PointOnLine.isMovable=!0;l.PointOnLine.initialize=function(a){var b=l._helper.initializePoint(a); +a=v.csnames[a.args[0]].homog;var b=l._helper.projectPointToLine(b,a),b=h.normalizeMax(b),c=h.cross(h.linfty,b);h.normalizeMax(c);T(b);T(a);lb=!1};l.PointOnLine.updatePosition=function(a,b){var c,d=v.csnames[a.args[0]].homog;c=X(3);X(3);if(!b){Ba=a.stateIdx;var e=qa;qa=Da;var f=X(3),m=X(3);qa=e;e=h.cross(m,d);h._helper.isAlmostZero(e)&&(e=h.cross(h.linfty,d));f=l._helper.CircleMP(e,f);f=l._helper.IntersectLC(d,f);e=l._helper.pointReflection(e,c);c=Ec(f[0],f[1],c,e)[0]}c=h.normalizeMax(c);T(c);T(d); 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X(3)};l.PointOnCircle.getParamForInput= +function(a,b,c){c=h.normalizeZ(l._helper.CenterOfCircle(v.csnames[a.args[0]].matrix));b=h.sub(b,c);Ba=a.stateIdx;a=X(3);var d=h.normalizeZ(X(3));c=h.sub(d,c);0>m.sub(m.mult(a.value[0],c.value[1]),m.mult(a.value[1],c.value[0])).value.real&&(b=h.neg(b));return h.turnIntoCSList([b.value[1],m.neg(b.value[0]),m.zero])};l.PointOnCircle.parameterPath=function(a,b,c,d,e){d=h.normalizeAbs(d);e=h.normalizeAbs(e);var f=h.scalproduct(d,e);if(0<=f.value.real)return Fd(a,b,c,d,e);a=h.turnIntoCSList([m.sub(d.value[1], +e.value[1]),m.sub(e.value[0],d.value[0]),m.zero]);f=h.scalproduct(d,a);0>f.value.real&&(a=h.neg(a));0>b?(b=2*b+1,c=b*b,f=.25/(1+c),c=m.complex(2*b*f+.25,(1-c)*f)):(b=2*b-1,c=b*b,f=.25/(1+c),c=m.complex(2*b*f+.75,(1-c)*f));var k=m.sub(m.real(1),c);b=m.mult(c,c);f=m.mult(k,k);c=m.mult(c,k);d=h.scalmult(f,d);d=h.add(d,h.scalmult(c,a));return d=h.add(d,h.scalmult(b,e))};l.PointOnCircle.updatePosition=function(a){var b=X(3);T(b);var c=v.csnames[a.args[0]],b=h.productMV(c.matrix,b),c=l._helper.IntersectLC(b, +c.matrix),c=Pa(c[0],c[1]),b=h.normalizeMax(c.value[0]);a.homog=w.withUsage(b,"Point");a.antipodalPoint=c.value[1]};l.PointOnCircle.stateSize=6+Pa.stateSize;l.OtherPointOnCircle={};l.OtherPointOnCircle.kind="P";l.OtherPointOnCircle.signature=["P"];l.OtherPointOnCircle.signatureConstraints=function(a){return"PointOnCircle"===v.csnames[a.args[0]].type};l.OtherPointOnCircle.updatePosition=function(a){var b=v.csnames[a.args[0]].antipodalPoint,b=h.normalizeMax(b);a.homog=w.withUsage(b,"Point")};l.PointOnSegment= +{};l.PointOnSegment.kind="P";l.PointOnSegment.signature=["S"];l.PointOnSegment.isMovable=!0;l.PointOnSegment.initialize=function(a){var b=l._helper.initializePoint(a);a=l.PointOnSegment.getParamForInput(a,b);Za(a)};l.PointOnSegment.getParamForInput=function(a,b,c){a=v.csnames[a.args[0]];var d=a.homog;"mouse"===c&&Eb&&0!==za&&(b=l._helper.snapPointToLine(b,d));c=h.turnIntoCSList([d.value[0],d.value[1],m.zero]);d=h.sub(a.startpos,a.endpos);b=h.crossratio3(d,a.startpos,a.endpos,b,c);0>b.value.real&& +(b=m.complex(0,b.value.imag));1<b.value.real&&(b=m.complex(1,b.value.imag));return b};l.PointOnSegment.getParamFromState=function(a){return Bb()};l.PointOnSegment.putParamToState=function(a,b){Za(b)};l.PointOnSegment.updatePosition=function(a){var b=Bb();Za(b);var c=v.csnames[a.args[0]],d=c.startpos,c=h.sub(c.endpos,d),b=h.add(d,h.scalmult(b,c)),b=h.normalizeMax(b);a.homog=w.withUsage(b,"Point")};l.PointOnSegment.stateSize=2;l._helper.projectPointToCircle=function(a,b){var c=l._helper.CenterOfCircle(a.matrix), +c=h.normalizeMax(c),c=h.normalizeMax(h.cross(b,c)),c=l._helper.IntersectLC(c,a.matrix),d=h.projectiveDistMinScal(b,c[0]),e=h.projectiveDistMinScal(b,c[1]);return d<e?c[0]:c[1]};l.PointOnArc={};l.PointOnArc.kind="P";l.PointOnArc.signature=["C"];l.PointOnArc.signatureConstraints=function(a){return v.csnames[a.args[0]].isArc};l.PointOnArc.isMovable=!0;l.PointOnArc.initialize=function(a){var b=l._helper.initializePoint(a);a=l.PointOnArc.getParamForInput(a,b);T(a)};l.PointOnArc.getParamForInput=function(a, +b){var c=v.csnames[a.args[0]],d=l._helper.projectPointToCircle(c,b),c=h.normalizeMax(h.crossratio3harm(c.startPoint,c.endPoint,c.viaPoint,d,h.ii)),d=m.div(c.value[0],c.value[1]);0>d.value.real&&(c=-1>d.value.real?h.realVector([1,0]):h.realVector([0,1]));return c};l.PointOnArc.getParamFromState=function(a){return X(2)};l.PointOnArc.putParamToState=function(a,b){T(b)};l.PointOnArc.updatePosition=function(a){var b=v.csnames[a.args[0]],c=b.startPoint,d=b.viaPoint,e=b.endPoint,f=h.ii,k=h.cross(c,f),d= +h.cross(d,f),n=h.cross(e,f),n=h.turnIntoCSList([k,n]),k=h.transpose(n),n=h.conjugate(n),k=h.productMM(n,k),d=h.productMV(n,d),k=h.productMV(h.adjoint2(k),d),d=k.value[0],k=k.value[1],n=X(2);T(n);c=h.normalizeMax(h.add(h.scalmult(m.mult(d,n.value[0]),c),h.scalmult(m.mult(k,n.value[1]),e)));b=l._helper.conicOtherIntersection(b.matrix,f,c);a.homog=w.withUsage(b,"Point")};l.PointOnArc.stateSize=4;l._helper.CenterOfCircle=function(a){return h.turnIntoCSList([a.value[2].value[0],a.value[2].value[1],m.neg(a.value[0].value[0])])}; +l._helper.CenterOfConic=function(a){a=h.adjoint3(a);return{ctype:"list",value:[a.value[2].value[0],a.value[2].value[1],a.value[2].value[2]]}};l.CenterOfConic={};l.CenterOfConic.kind="P";l.CenterOfConic.signature=["C"];l.CenterOfConic.updatePosition=function(a){var b=l._helper.CenterOfConic(v.csnames[a.args[0]].matrix);a.homog=b;a.homog=h.normalizeMax(a.homog);a.homog=w.withUsage(a.homog,"Point")};l._helper.CircleMP=function(a,b){var c=a.value[0],d=a.value[1],e=m.neg(a.value[2]),f=m.zero,c=h.turnIntoCSList([h.turnIntoCSList([e, +f,c]),h.turnIntoCSList([f,e,d]),h.turnIntoCSList([c,d,f])]),e=w.mult(w.mult(b,c),b),d=w.mult(w.mult(b,h.fund),b),e=w.mult(e,h.fund),c=w.mult(d,c);return h.sub(e,c)};l.CircleMP={};l.CircleMP.kind="C";l.CircleMP.signature=["P","P"];l.CircleMP.updatePosition=function(a){a.matrix=l._helper.CircleMP(v.csnames[a.args[0]].homog,v.csnames[a.args[1]].homog);a.matrix=h.normalizeMax(a.matrix);a.matrix=w.withUsage(a.matrix,"Circle")};l.CircleMr={};l.CircleMr.kind="C";l.CircleMr.signature=["P"];l.CircleMr.isMovable= +!0;l.CircleMr.initialize=function(a){Za(m.real(a.radius))};l.CircleMr.getParamForInput=function(a,b,c){if("radius"===c)return b;a=v.csnames[a.args[0]].homog;a=h.normalizeZ(a);b=h.normalizeZ(b);b=h.sub(a,b);return b=h.abs(b)};l.CircleMr.getParamFromState=function(a){return Bb()};l.CircleMr.putParamToState=function(a,b){Za(b)};l.CircleMr.updatePosition=function(a){var b=Bb();Za(b);var c=v.csnames[a.args[0]].homog,d=m.mult(c.value[2],b),d=m.mult(d,d);if(!m._helper.isFinite(d)&&!m._helper.isNaN(d))return h.fund; +c=l._helper.ScaledCircleMrr(c,d);a.matrix=w.withUsage(c,"Circle");a.radius=b};l.CircleMr.stateSize=2;l.CircleMr.set_radius=function(a,b){"number"===b.ctype&&La(a,b,"radius")};l._helper.ScaledCircleMrr=function(a,b){var c=a.value[0],d=a.value[1],e=m.neg(a.value[2]),e=h.scalmult(e,h.turnIntoCSList([c,d,e])).value,c=h.turnIntoCSList([c,d]),c=m.sub(h.scalproduct(c,c),b),e=l._helper.buildConicMatrix([e[2],m.zero,e[2],e[0],e[1],c]);return h.normalizeMax(e)};l.Compass={};l.Compass.kind="C";l.Compass.signature= +["P","P","P"];l.Compass.updatePosition=function(a){var b=v.csnames[a.args[0]].homog,c=v.csnames[a.args[1]].homog,d=v.csnames[a.args[2]].homog,e=b.value[2],f=c.value[2],k=d.value[2],b=h.scalmult(m.mult(f,k),b),c=h.scalmult(m.mult(e,k),c),d=h.scalmult(m.mult(e,f),d),b=h.sub(c,b),d=l._helper.ScaledCircleMrr(d,h.scalproduct(b,b));a.matrix=w.withUsage(d,"Circle")};l._helper.getConicType=function(a){if(1E-16>m.abs(h.det(a)).value.real)return"degenerate";var b=m.mult(a.value[0].value[0],a.value[1].value[1]), +b=m.sub(b,m.pow(a.value[0].value[1],m.real(2))),b=b.value.real;return 1E-16>Math.abs(b)?"parabola":1E-16<b?"ellipsoid":"hyperbola"};l._helper.ConicBy5=function(a,b,c,d,e,f){a=h.turnIntoCSList([h.cross(c,d)]);var m=h.turnIntoCSList([h.cross(b,e)]);b=h.turnIntoCSList([h.cross(b,c)]);d=h.turnIntoCSList([h.cross(d,e)]);return l._helper.conicFromTwoDegenerates(a,m,b,d,f)};l._helper.conicFromTwoDegenerates=function(a,b,c,d,e){a=w.mult(h.transpose(b),a);c=w.mult(h.transpose(d),c);a=h.add(a,h.transpose(a)); +c=h.add(c,h.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 h.sub(c,e)};l.ConicBy5={};l.ConicBy5.kind="C";l.ConicBy5.signature=["P","P","P","P","P"];l.ConicBy5.updatePosition=function(a){var b=l._helper.ConicBy5(a,v.csnames[a.args[0]].homog,v.csnames[a.args[1]].homog,v.csnames[a.args[2]].homog,v.csnames[a.args[3]].homog,v.csnames[a.args[4]].homog);a.matrix=b;a.matrix=h.normalizeMax(a.matrix);a.matrix=w.withUsage(a.matrix,"Conic")};l.FreeConic={};l.FreeConic.kind= +"C";l.FreeConic.signature=[];l.FreeConic.initialize=function(a){var b;b=a.pos?l._helper.inputConic(a.pos):h.zeromatrix(m.real(3),m.real(3));l.FreeConic.putParamToState(a,b)};l.FreeConic.getParamForInput=function(a,b,c){return h.normalizeMax(b)};l.FreeConic.getParamFromState=function(a){return l._helper.buildConicMatrix(X(6).value)};l.FreeConic.putParamToState=function(a,b){for(var c=0;3>c;++c)for(var d=0;d<=c;++d)Za(b.value[c].value[d])};l.FreeConic.updatePosition=function(a){var b=X(6);T(b);a.matrix= +l._helper.buildConicMatrix(b.value);a.matrix=h.normalizeMax(a.matrix);a.matrix=w.withUsage(a.matrix,"Conic")};l.FreeConic.set_matrix=function(a,b){h._helper.isNumberMatrixMN(b,3,3)&&La(a,h.add(b,h.transpose(b)),"matrix")};l.FreeConic.stateSize=12;l._helper.buildConicMatrix=function(a){var b=a[1],c=a[2],d=a[3],e=a[4],f=a[5];return h.turnIntoCSList([h.turnIntoCSList([a[0],b,d]),h.turnIntoCSList([b,c,e]),h.turnIntoCSList([d,e,f])])};l._helper.flattenConicMatrix=function(a){return h.turnIntoCSList([a.value[0].value[0], +a.value[0].value[1],a.value[1].value[1],a.value[0].value[2],a.value[1].value[2],a.value[2].value[2]])};l._helper.splitDegenConic=function(a){var b=h.adjoint3(a),c=0,d,e,f=m.abs2(b.value[0].value[0]).value.real;for(d=1;3>d;d++)e=m.abs2(b.value[d].value[d]).value.real,e>f&&(c=d,f=e);d=m.sqrt(m.mult(m.real(-1),b.value[c].value[c]));if(1E-16>m.abs2(d).value.real)return a=h.turnIntoCSList([m.zero,m.zero,m.zero]),[a,a];c=m.real(c+1);e=h.column(b,c);e=h.scaldiv(d,e);d=e.value[0];f=e.value[1];e=e.value[2]; +d=h.turnIntoCSList([h.turnIntoCSList([m.real(0),e,m.mult(m.real(-1),f)]),h.turnIntoCSList([m.mult(m.real(-1),e),m.real(0),d]),h.turnIntoCSList([f,m.mult(m.real(-1),d),m.real(0)])]);a=h.add(a,d);var k=0;for(d=f=b=0;3>d;d++)for(c=0;3>c;c++)e=m.abs2(a.value[d].value[c]).value.real,e>f&&(k=d,b=c,f=e);d=a.value[k];a=h.transpose(a);a=a.value[b];d=h.normalizeMax(d);a=h.normalizeMax(a);d=w.withUsage(d,"Line");a=w.withUsage(a,"Line");return[d,a]};l._helper.inputConic=function(a){var b="xx xy yy xz yz zz".split(" ").map(function(b){var d= +m._helper.input(a[b]);b[0]!==b[1]&&(d=m.realmult(.5,d));return d});return l._helper.buildConicMatrix(b)};l.SelectConic={};l.SelectConic.kind="C";l.SelectConic.signature=["Cs"];l.SelectConic.initialize=function(a){if(void 0!==a.index)return a.index-1;var b=l._helper.inputConic(a.pos);a=v.csnames[a.args[0]].results;for(var c=h.conicDist(b,a[0]),d=0,e=1;e<a.length;++e){var f=h.conicDist(b,a[e]);f<c&&(c=f,d=e)}return d};l.SelectConic.updatePosition=function(a){a.matrix=v.csnames[a.args[0]].results[a.param]; +a.matrix=h.normalizeMax(a.matrix);a.matrix=w.withUsage(a.matrix,"Conic")};l._helper.ConicBy4p1l=function(a,b,c,d,e,f){var k=h.scalproduct(b,f),n=h.scalproduct(c,f),p=h.scalproduct(d,f),r=h.scalproduct(e,f),t=h.det3(c,d,e),v=h.det3(b,c,e),u=h.det3(b,d,e),w=h.det3(b,c,d),x=m.mult,n=m.sqrt(x(x(n,r),x(t,v))),k=m.sqrt(x(x(k,p),x(u,w))),p=h.cross(h.cross(b,d),f);f=h.cross(h.cross(c,e),f);p=h.scalmult(n,p);k=h.scalmult(k,f);f=h.normalizeMax(h.add(p,k));k=h.normalizeMax(h.sub(p,k));k=Pa(f,k);f=l._helper.ConicBy5(a, +b,c,d,e,k.value[0]);a=l._helper.ConicBy5(a,b,c,d,e,k.value[1]);return[h.normalizeMax(f),h.normalizeMax(a)]};l.ConicBy4p1l={};l.ConicBy4p1l.kind="Cs";l.ConicBy4p1l.signature=["P","P","P","P","L"];l.ConicBy4p1l.updatePosition=function(a){var b=l._helper.ConicBy4p1l(a,v.csnames[a.args[0]].homog,v.csnames[a.args[1]].homog,v.csnames[a.args[2]].homog,v.csnames[a.args[3]].homog,v.csnames[a.args[4]].homog);a.results=b};l.ConicBy4p1l.stateSize=Pa.stateSize;l._helper.ConicBy3p2l=function(a,b,c,d,e){function f(a, +b,c,d){return m.sub(m.mult(a,d),m.mult(b,c))}var k=h.cross(a,b),l=h.cross(d,e);d=h.cross(d,k);e=h.cross(e,k);k=h.turnIntoCSList([d,e,l]);c=h.productVM(c,h.adjoint3(k));l=h.adjoint3(h.turnIntoCSList([h.scalmult(c.value[0],d),h.scalmult(c.value[1],e),h.scalmult(c.value[2],l)]));c=h.transpose(l);d=m.mult;e=h.productMV(c,a);a=e.value[0];e=e.value[1];k=h.productMV(c,b);b=k.value[0];var k=k.value[1],n=m.sqrt(d(a,e)),p=m.sqrt(d(b,k)),r,t=Array(4);for(r=0;4>r;++r){var v=(r&2)-1,u=d(m.real(((r&1)<<1)-1),n), +w=d(m.real(v),p),x=f(e,u,k,w),y=f(b,w,a,u),v=f(a,e,b,k),z=m.add(m.add(f(b,k,a,e),f(k,w,e,u)),f(w,b,u,a)),u=d(x,x),w=d(y,y),A=d(z,z),B=d(x,y),x=d(x,z),y=d(y,z),B=m.sub(B,d(m.real(.5),d(v,v))),v=h.turnIntoCSList([h.turnIntoCSList([u,B,x]),h.turnIntoCSList([B,w,y]),h.turnIntoCSList([x,y,A])]),v=h.productMM(l,h.productMM(v,c)),v=h.turnIntoCSList([v.value[0].value[0],v.value[0].value[1],v.value[0].value[2],v.value[1].value[1],v.value[1].value[2],v.value[2].value[2]]);t[r]=v}return t};l.ConicBy3p2l={}; +l.ConicBy3p2l.kind="Cs";l.ConicBy3p2l.signature=["P","P","P","L","L"];l.ConicBy3p2l.updatePosition=function(a){for(var b=l._helper.ConicBy3p2l(v.csnames[a.args[0]].homog,v.csnames[a.args[1]].homog,v.csnames[a.args[2]].homog,v.csnames[a.args[3]].homog,v.csnames[a.args[4]].homog),b=Id(b),c=Array(4),d=0;4>d;++d){var e=b[d].value;c[d]=h.turnIntoCSList([h.turnIntoCSList([e[0],e[1],e[2]]),h.turnIntoCSList([e[1],e[3],e[4]]),h.turnIntoCSList([e[2],e[4],e[5]])])}a.results=c};l.ConicBy3p2l.stateSize=48;l.ConicBy2p3l= +{};l.ConicBy2p3l.kind="Cs";l.ConicBy2p3l.signature=["P","P","L","L","L"];l.ConicBy2p3l.updatePosition=function(a){for(var b=l._helper.ConicBy3p2l(v.csnames[a.args[2]].homog,v.csnames[a.args[3]].homog,v.csnames[a.args[4]].homog,v.csnames[a.args[0]].homog,v.csnames[a.args[1]].homog),b=Id(b),c=Array(4),d=0;4>d;++d){var e=b[d].value,e=h.turnIntoCSList([h.turnIntoCSList([e[0],e[1],e[2]]),h.turnIntoCSList([e[1],e[3],e[4]]),h.turnIntoCSList([e[2],e[4],e[5]])]);c[d]=h.normalizeMax(h.adjoint3(e))}a.results= +c};l.ConicBy2p3l.stateSize=48;l.ConicBy1p4l={};l.ConicBy1p4l.kind="Cs";l.ConicBy1p4l.signature=["P","L","L","L","L"];l.ConicBy1p4l.updatePosition=function(a){var b=l._helper.ConicBy4p1l(a,v.csnames[a.args[1]].homog,v.csnames[a.args[2]].homog,v.csnames[a.args[3]].homog,v.csnames[a.args[4]].homog,v.csnames[a.args[0]].homog),c=b[0],b=b[1],c=h.adjoint3(c),b=h.adjoint3(b),b=[c,b];a.results=b};l.ConicBy1p4l.stateSize=Pa.stateSize;l.ConicParabolaPL={};l.ConicParabolaPL.kind="C";l.ConicParabolaPL.signature= +["P","L"];l.ConicParabolaPL.updatePosition=function(a){var b=v.csnames[a.args[0]].homog.value,c=v.csnames[a.args[1]].homog.value,d=m.mult,e=m.neg,f=m.add,k=m.sub,n=b[0],p=b[1],r=b[2],t=c[0],b=c[1],c=c[2],u=d(r,r),x=d(t,t),y=d(b,b),z=d(r,c),A=e(r),r=f(x,y),y=d(u,y),x=d(u,x),e=d(e(u),d(t,b)),t=d(A,f(d(n,r),d(z,t))),b=d(A,f(d(p,r),d(z,b))),d=k(d(f(d(n,n),d(p,p)),r),d(u,d(c,c))),d=l._helper.buildConicMatrix([y,e,x,t,b,d]),d=h.normalizeMax(d);a.matrix=w.withUsage(d,"Conic")};l.ConicBy2Foci1P={};l.ConicBy2Foci1P.kind= +"Cs";l.ConicBy2Foci1P.signature=["P","P","P"];l.ConicBy2Foci1P.updatePosition=function(a){var b=v.csnames[a.args[0]].homog,c=v.csnames[a.args[1]].homog,d=v.csnames[a.args[2]].homog,e=h.ii,f=h.jj,k=h.normalizeMax(h.cross(b,d)),n=h.normalizeMax(h.cross(c,d)),p=h.normalizeMax(h.cross(d,e)),d=h.normalizeMax(h.cross(d,f)),n=l._helper.coHarmonic(p,d,k,n),k=h.normalizeMax(n[0]),n=h.normalizeMax(n[1]),e=h.turnIntoCSList([e]),p=h.turnIntoCSList([f]),d=h.turnIntoCSList([b]),r=h.turnIntoCSList([c]),f=l._helper.conicFromTwoDegenerates(e, +p,d,r,k),f=h.normalizeMax(f),e=l._helper.conicFromTwoDegenerates(e,p,d,r,n),e=h.normalizeMax(e),f=h.normalizeMax(h.adjoint3(f)),e=h.normalizeMax(h.adjoint3(e));"ellipsoid"!==l._helper.getConicType(f)&&(k=f,f=e,e=k);h.almostequals(b,c).value&&(b=m.real(3),e=h.zeromatrix(b,b));a.results=[f,e]};l.ConicBy2Pol1P={};l.ConicBy2Pol1P.kind="C";l.ConicBy2Pol1P.signature=["P","L","P","L","P"];l.ConicBy2Pol1P.updatePosition=function(a){var b=v.csnames[a.args[0]].homog,c=v.csnames[a.args[1]].homog,d=v.csnames[a.args[2]].homog, +e=v.csnames[a.args[3]].homog,f=v.csnames[a.args[4]].homog,k=h.scalproduct,l=h.scalmult,n=h.sub,p=h.productMM,r=m.realmult,t=h.transpose,u=h.turnIntoCSList,x=n(l(k(c,b),f),l(r(2,k(c,f)),b)),y=n(l(k(e,d),f),l(r(2,k(e,f)),d)),z=u([h.cross(b,f)]),f=u([h.cross(d,f)]),y=p(t(z),u([h.cross(b,y)])),u=p(t(f),u([h.cross(d,x)])),p=p(t(z),f),b=k(b,e),c=k(d,c),d=h.add(l(c,y),l(b,u)),d=n(d,l(r(2,m.mult(b,c)),p)),d=h.add(d,t(d)),d=h.normalizeMax(d),d=w.withUsage(d,"Conic");a.matrix=d};l.ConicBy2Pol1L={};l.ConicBy2Pol1L.kind= +"C";l.ConicBy2Pol1L.signature=["P","L","P","L","L"];l.ConicBy2Pol1L.updatePosition=function(a){var b=v.csnames[a.args[0]].homog,c=v.csnames[a.args[1]].homog,d=v.csnames[a.args[2]].homog,e=v.csnames[a.args[3]].homog,f=v.csnames[a.args[4]].homog,k=h.scalproduct,l=h.scalmult,n=h.productMM,p=m.mult,r=h.transpose,t=h.turnIntoCSList,u=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([h.sub(l(p(y,k),c),l(p(x,A),e))]),b=h.add(n(r(t([l(p(y,x),f)])),t([h.sub(h.add(l(m.sub(p(u,k),p(x,A)),e),l(m.sub(p(z, +A),p(y,k)),c)),l(h.det3(c,e,f),h.cross(b,d)))])),n(r(B),B)),b=h.add(b,r(b)),b=h.normalizeMax(b),b=w.withUsage(b,"Conic");a.matrix=b};l._helper.conic1Pol3Inc=function(a,b,c,d,e){var f=h.scalproduct,k=h.scalmult,l=h.productMM,n=h.cross,p=m.realmult,r=m.mult,t=h.transpose,v=h.turnIntoCSList,u=h.det3,w=u(a,c,d),x=v([n(c,e)]),y=v([n(a,e)]),z=v([n(c,d)]),A=f(b,a),B=f(b,c);b=f(b,e);n=v([n(d,h.sub(k(A,e),k(p(2,b),a)))]);x=k(w,l(t(x),n));a=p(2,m.add(r(u(a,d,e),B),r(w,b)));a=m.sub(r(u(c,d,e),A),a);x=h.add(x, +k(a,l(t(y),z)));x=h.add(x,t(x));return x=h.normalizeMax(x)};l.ConicBy1Pol3P={};l.ConicBy1Pol3P.kind="C";l.ConicBy1Pol3P.signature=["P","L","P","P","P"];l.ConicBy1Pol3P.updatePosition=function(a){var b=l._helper.conic1Pol3Inc(v.csnames[a.args[0]].homog,v.csnames[a.args[1]].homog,v.csnames[a.args[2]].homog,v.csnames[a.args[3]].homog,v.csnames[a.args[4]].homog),b=w.withUsage(b,"Conic");a.matrix=b};l.ConicBy1Pol3L={};l.ConicBy1Pol3L.kind="C";l.ConicBy1Pol3L.signature=["P","L","L","L","L"];l.ConicBy1Pol3L.updatePosition= +function(a){var b=l._helper.conic1Pol3Inc(v.csnames[a.args[1]].homog,v.csnames[a.args[0]].homog,v.csnames[a.args[2]].homog,v.csnames[a.args[3]].homog,v.csnames[a.args[4]].homog),b=h.normalizeMax(h.adjoint3(b)),b=w.withUsage(b,"Conic");a.matrix=b};l.ConicBy1Pol2P1L={};l.ConicBy1Pol2P1L.kind="Cs";l.ConicBy1Pol2P1L.signature=["P","L","P","P","L"];l.ConicBy1Pol2P1L.updatePosition=function(a){var b=v.csnames[a.args[0]].homog,c=v.csnames[a.args[1]].homog,d=v.csnames[a.args[2]].homog,e=v.csnames[a.args[3]].homog, +f=v.csnames[a.args[4]].homog,k=m.add,l=h.turnIntoCSList,n=h.cross,p=h.productMM,r=m.mult,t=m.realmult,u=h.scalmult,w=h.scalproduct,x=m.sub,y=h.transpose,z=w(c,b),A=w(c,d),B=w(c,e),c=w(f,b),C=w(f,d),w=w(f,e),f=l([n(b,d)]),b=l([n(b,e)]),d=l([n(d,e)]),e=m.sqrt(r(r(C,w),r(x(r(z,C),t(2,r(c,A))),x(r(z,w),t(2,r(c,B)))))),l=p(y(f),b),e=u(e,h.add(l,y(l))),k=u(x(r(z,r(C,w)),k(r(c,r(A,w)),r(c,r(C,B)))),l),t=h.add(h.sub(u(B,f),u(A,b)),u(t(.5,z),d)),k=h.add(k,u(r(c,c),p(y(d),t))),k=h.add(k,y(k)),p=h.normalizeMax(h.add(e, +k)),r=h.normalizeMax(h.sub(e,k));a.results=Qb(p,r).value};l.ConicBy1Pol2P1L.stateSize=Qb.stateSize;l.ConicBy1Pol1P2L={};l.ConicBy1Pol1P2L.kind="Cs";l.ConicBy1Pol1P2L.signature=["P","L","P","L","L"];l.ConicBy1Pol1P2L.updatePosition=function(a){var 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a.springstrength&&(a.springstrength=1);"undefined"!==typeof a.accuracy&&(Vb=a.accuracy);"undefined"!==typeof a.deltat&&ha(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,h,k,l,m,n;if(a.newton)for(b=0;b<ma.length-1;b++)for(c=ma[b],d=c.behavior.x,e=c.behavior.y,f=b+1;f<ma.length;f++)h=ma[f],k=h.behavior.x, 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+k,c.behavior.fy+=l,h.behavior.fx-=k,h.behavior.fy-=l;if(a.balls)for(b=0;b<ma.length-1;b++)if(c=ma[b],0!==c.behavior.radius)for(d=c.behavior.x,e=c.behavior.y,f=b+1;f<ma.length;f++)h=ma[f],0!==h.behavior.radius&&(k=h.behavior.x,l=h.behavior.y,m=c.behavior.radius+h.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,h.behavior.fx-=k,h.behavior.fy-=l);for(b=0;b<ma.length;b++)c=ma[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 sa};return F}(),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/ketcindyjs/Cindy.js.map b/Master/texmf-dist/doc/support/ketcindy/ketcindyjs/Cindy.js.map new file mode 100644 index 00000000000..f30d5b75e43 --- /dev/null +++ b/Master/texmf-dist/doc/support/ketcindy/ketcindyjs/Cindy.js.map @@ -0,0 +1,7 @@ +{"version":3, + "file":"Cindy.js", + "sourceRoot":"https://raw.githubusercontent.com/CindyJS/CindyJS/8c01b8d1d336e92934ad80c44aafc5510a1aea36/", + 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diff --git a/Master/texmf-dist/doc/support/ketcindy/ketcindyjs/basic1list.txt b/Master/texmf-dist/doc/support/ketcindy/ketcindyjs/basic1list.txt new file mode 100644 index 00000000000..6061a5db6ce --- /dev/null +++ b/Master/texmf-dist/doc/support/ketcindy/ketcindyjs/basic1list.txt @@ -0,0 +1,163 @@ +Ketinit,basic1,41,182,Fillstore,Cindyname,Indexall,getname,Changesetting,Changework,pathsep,iswindows,ismacosx,isexists,iskcexists,setexec,Setwindow +Fillstore,basic1,186,216 +Fillblack,basic1,220,234,Fillstore +Fillrestore,basic1,238,250 +Readlines,basic1,254,265,readfile2str +Changesetting,basic1,269,284,pathsep,getname,isexists +Cindyname,basic1,288,295,Cdyname,Getcdyname +Setwindow,basic1,299,336,Toupper,Lcrd,Pcrd,Putpoint +Setfiles,basic1,340,353,Dqq +Setparent,basic1,357,369,Dqq +Dqq,basic1,373,373,DqDq +DqDq,basic1,376,379 +PPa,basic1,383,384 +PaO,basic1,388,400 +PaC,basic1,404,416 +PPa,basic1,420,420 +Tab2list,basic1,424,486,Divoptions,Toupper,Indexall +Columnlist,basic1,490,493 +Dispmat,basic1,497,519 +Sep1000,basic1,523,541 +Acos,basic1,545,548 +Asin,basic1,552,555 +Atan,basic1,559,562 +Sqr,basic1,566,569 +Factorial,basic1,573,581 +Norm,basic1,585,597 +Removespace,basic1,602,627 +Indexall,basic1,631,649 +Strsplit,basic1,653,664,Indexall +Parlevel,basic1,668,668,Bracket +Bracket,basic1,671,693,Indexall +Pardiagram,basic1,697,793,Divoptions,Toupper,Bracket,Listplot,Letter,Expr +Changework,basic1,797,858,Divoptions,Strsplit,Toupper,Indexall,isexists,Dqq,makedir,pathsep,iswindows,iskcexists,setexec +Changestyle,basic1,862,894,Divoptions,Com2nd,Setcolor,GetLinestyle,Texcom +Op,basic1,898,910 +Ptselected,basic1,914,928,Isptselected +Finddef,basic1,932,951 +Findgeoinfo,basic1,955,980,Finddef +Dependgeo,basic1,984,1004,Finddef +Workprocess,basic1,1008,1012,Drawprocess +Drawprocess,basic1,1015,1060,Divoptions,Strsplit,Toupper,Dependgeo +Sortpointlist,basic1,1064,1096 +Toupper,basic1,1100,1115 +Textformat,basic1,1119,1143 +Sprintf,basic1,1147,1164,Textformat +Assign,basic1,1168,1225,Textformat +MeasureDepth,basic1,1229,1254 +Flattenlist,basic1,1258,1278,MeasureDepth +Divoptions,basic1,1282,1385,Strsplit,Toupper,Colorcmyk2rgb,Colorname2rgb +Dotprod,basic1,1389,1395 +Crossprod,basic1,1399,1411 +Mvprod,basic1,1415,1433,MeasureDepth +Ptstart,basic1,1437,1442 +Ptend,basic1,1446,1451 +Numptcrv,basic1,1455,1460 +Ptcrv,basic1,1464,1469 +Invert,basic1,1473,1486,Listplot +Paramoncrv,basic1,1490,1490,Paramoncurve +ParamonCurve,basic1,1493,1519,Nearestpt,LLcrd +Pointoncrv,basic1,1523,1523,PointonCurve +PointonCurve,basic1,1526,1544 +Koutenseg,basic1,1548,1656 +IntersectcrvsPp,basic1,1662,1805,Divoptions,MeasureDepth,LLcrd,Koutenseg +Intersectcrvs,basic1,1809,1815,IntersectcrvsPp +Intersectline,basic1,1823,1845,Dotprod,Crossprod +Intersectseg,basic1,1849,1949,Op,Intersectline,Nearestpt +Osplineseg,basic1,1953,1970,Dotprod,Bezier +Intersectpartseg,basic1,1974,2076,Crossprod,Norm,Reflectpoint,Osplineseg,Intersectseg,Op,Intersectline +Collectsameseg,basic1,2080,2122 +IntersectcurvesPp,basic1,2126,2229,LLcrd,Intersectpartseg,Collectsameseg,Nearestpt +Intersectcurves,basic1,2233,2240,IntersectcurvesPp +NearestptcrvPhy,basic1,2246,2255,Pcrd,MeasureDepth,Nearestpt +Nearestptcrv,basic1,2259,2265,Nearestpt +Nearestpt,basic1,2269,2322,MeasureDepth,ParamonCurve +Derivative,basic1,2326,2417,Strsplit,Lineplot,IntersectcurvesPp,Pointoncurve,Dotprod,Divoptions,Toupper,PaO,Pcrd,Assign +Tangentplot,basic1,2421,2468,Divoptions,Strsplit,Toupper,IntersectcurvesPp,Derivative,Lineplot +Integrate,basic1,2472,2485,Integratefn,Integratedt +Integratedt,basic1,2489,2521,Divoptions,Toupper,IntegrateO,MeasureDepth,MeetCurve,LLcrd +Integratefn,basic1,2525,2585,Divoptions,Toupper,Strsplit,Assign,IntegrateO,Textformat +IntegrateO,basic1,2589,2668,MeasureDepth,MeetCurve,LLcrd,Dotprod +FindareaP,basic1,2672,2685,Lcrd +FindareaO,basic1,2689,2710,Dist,IntegrateO +Findarea,basic1,2714,2740,Divoptions,Strsplit,Toupper,FindareaO,FindareaP +Findlength,basic1,2744,2756,Lcrd +Inversefun,basic1,2760,2783,Textformat +Com0th,basic1,2787,2791 +Com1st,basic1,2795,2800 +Com2nd,basic1,2804,2815,Toupper +Com2ndpre,basic1,2819,2823 +Texcom,basic1,2827,2834,Com2nd +Ketcindylogo,basic1,2838,2842,Com2nd,Texcom +Drwline,basic1,2846,2849,Textformat,Com2nd +Dashline,basic1,2854,2856,Com2nd +Invdashline,basic1,2860,2862,Com2nd +Dottedline,basic1,2866,2868,Com2nd +SetEnglish,basic1,2872,2875,Com0th,setlanguage +Drawlinetype,basic1,2879,2900,Toupper,Drwline,Dashline,Invdashline,Dottedline +Setunitlen,basic1,2904,2956 +Setmarklen,basic1,2960,2964,Com2nd,Textformat +Setorigin,basic1,2968,2972,Com2nd,Textformat +Fontsize,basic1,2976,2979,Com2nd +Setpen,basic1,2983,2987,Com2nd +Setscaling,basic1,2991,3005,Com0th,Setwindow +Lcrd,basic1,3009,3017 +Pcrd,basic1,3021,3029 +LLcrd,basic1,3033,3042 +Doscaling,basic1,3046,3073,Lcrd,LLcrd +Unscaling,basic1,3077,3104,Lcrd,LLcrd +Setpt,basic1,3108,3114,Ptsize,Com2nd +Definecolor,basic1,3118,3126,Texcom +Setcolor,basic1,3130,3157,Texcom,Colorcmyk2rgb,Com2nd +Colorrgb2cmyk,basic1,3161,3173 +Colorcmyk2rgb,basic1,3177,3184 +Colorrgbhsv,basic1,3188,3220 +Colorhsvrgb,basic1,3224,3238 +Colorrgbhsl,basic1,3242,3278 +Colorhslrgb,basic1,3282,3303,Hue2rgb +Hue2rgb,basic1,3307,3325 +Colorrgbhwb,basic1,3329,3335,Colorrgbhsl,Colorcode +Colorhwbrgb,basic1,3339,3364 +Colorcode,basic1,3368,3381,Colorrgb2cmyk,Colorcmyk2rgb,Colorrgbhsv,Colorrgbhsl,Colorrgbhwb,Colorhsvrgb,Colorhslrgb,Colorhwbrgb +Colorname2rgb,basic1,3385,3433,Colorcmyk2rgb +GetLinestyle,basic1,3437,3503,Drwline,Dashline,Invdashline,Dottedline,Textformat,Drwpt +Chunderscore,basic1,3507,3542,PaO +AddGraph,basic1,3546,3646,Divoptions,Flattenlist,Pcrd,MeasureDepth,PaO,Listplot,Pointdata,Textformat,Com2nd,Setcolor,GetLinestyle,Texcom +Joincrvs,basic1,3650,3746,LLcrd,Divoptions,Numptcrv,Ptstart,Ptend,Pcrd,Textformat,Com2nd,Setcolor,GetLinestyle,Texcom +Partcrv,basic1,3750,3839,MeasureDepth,Divoptions,Numptcrv,Ptstart,Ptend,Joincrvs,Nearestpt,LLcrd,Pcrd,Textformat,Lcrd,Com2nd,Setcolor,GetLinestyle,Texcom +Opcrvs,basic1,3843,3851,Listplot +Pointdata,basic1,3855,3971,Divoptions,Strsplit,Toupper,Colorcmyk2rgb,Colorname2rgb,MeasureDepth,Pcrd,Setcolor,PaO,Texcom,Setpen,Textformat,Com2nd,Setpt +Listplot,basic1,3975,4060,Divoptions,Strsplit,Toupper,Pcrd,Textformat,Com2nd,Setcolor,GetLinestyle,Texcom,Lcrd +Lineplot,basic1,4064,4132,Divoptions,Lcrd,Pcrd,Textformat,Com2nd,Setcolor,GetLinestyle,Texcom +Plotdata,basic1,4136,4331,Divoptions,PaO,Dqq,Assign,Norm,MeasureDepth,Pcrd,Textformat,Com2nd,Setcolor,GetLinestyle,Texcom +Paramplot,basic1,4335,4501,Divoptions,PaO,Dqq, differs from Scilab ,Assign,MeasureDepth,Pcrd,Textformat,Com2nd,Setcolor,GetLinestyle,Texcom +Polarplot,basic1,4505,4514,Strsplit,Paramplot +Connectseg,basic1,4518,4580,Norm +Implicitplot,basic1,4584,4722,Divoptions,Strsplit,Toupper,Impfun,Connectseg,MeasureDepth,Pcrd,Textformat,Com2nd,Setcolor,GetLinestyle,Texcom +Circledata,basic1,4726,4835,Divoptions,Lcrd,Defvar,Pcrd,Textformat,Lineplot,Com2nd,Setcolor,GetLinestyle,Texcom +Framedata,basic1,4839,4964,MeasureDepth,LLcrd,Toupper,Framedata2,Lcrd,Divoptions,Pcrd,Textformat,Com2nd,Setcolor,GetLinestyle,Texcom +Framedata2,basic1,4968,4975,Lcrd,Framedata +Ovaldata,basic1,4979,5049,Divoptions,Lcrd,Listplot,Circledata,Reflectdata,Joincrvs,Com2nd,Setcolor,GetLinestyle,Texcom,Pcrd,Textformat +Segmark,basic1,5053,5113,Drawsegmark,Divoptions,Toupper,Circledata,Listplot +Parabolaplot,basic1,5117,5157,Lcrd,Rotatepoint,Textformat,Plotdata,Rotatedata +Ellipseplot,basic1,5161,5204,Lcrd,Rotatepoint,Paramplot,Rotatedata +Hyperbolaplot,basic1,5208,5272,Divoptions,Toupper,Lcrd,Rotatepoint,Paramplot,Lineplot,Rotatedata +Polygonplot,basic1,5276,5322,Divoptions,Strsplit,Toupper,Lcrd,Putpoint,Listplot +Putintersect,basic1,5326,5354,Intersectcrvs,Putpoint +Setarrow,basic1,5358,5384 +Arrowheaddata,basic1,5389,5482,Divoptions,Strsplit,Toupper,Touppera,MeasureDepth,Nearestpt,|Ptend,Ptstart,Numptcrv,Ptcrv,LLcrd,IntersectcrvsPp,Pcrd +Arrowhead,basic1,5486,5578,Strsplit,Toupper,MeasureDepth,Pcrd,Arrowheaddata,Inwindow,Listplot,Divoptions,Dqq,Textformat,LLcrd,Setcolor,Com2nd,Texcom +Arrowdata,basic1,5582,5685,Divoptions,Strsplit,Toupper,Pcrd,Textformat,Listplot,LLcrd,Arrowhead,Lcrd +Anglemark,basic1,5689,5795,Divoptions,Letter,Expr,Lcrd,Defvar,Pcrd,Textformat,Com2nd,Setcolor,GetLinestyle,Texcom +Paramark,basic1,5799,5885,Divoptions,Letter,Expr,Lcrd,Defvar,Pcrd,Textformat,Com2nd,Setcolor,GetLinestyle,Texcom +MakeBowdata,basic1,5889,5902,Lcrd,Rotatepoint +Bowdata,basic1,5906,6071,Divoptions,Lcrd,Letterrot,Letter,Exprrot,Expr,MakeBowdata,Defvar,Norm,LLcrd,MeasureDepth,Pcrd,Textformat,Com2nd,Setcolor,GetLinestyle,Texcom +Bowname,basic1,6075,6078,Expr +Bownamerot,basic1,6082,6096,MeasureDepth,Ptend,Ptstart,Exprrot +Deqdata,basic1,6100,6158,funP,Lcrd,funN +Deqplot,basic1,6162,6287,Lcrd,Divoptions,Toupper,Indexall,Deqdata,Pcrd,Assign,Textformat,RSform,Com2nd,Setcolor,GetLinestyle,Texcom +Enclosing,basic1,6455,6621,Divoptions,isList,Lcrd,Listplot,IntersectcurvesPp,Prepend,Op,Length,Partcrv,Pointoncurve,Pcrd,Enclosing2,PaO,Textformat,Com2nd,Setcolor,GetLinestyle,Texcom,LLcrd +Makehatch,basic1,6629,6731,Lineplot,Intersectseg,Norm,Listplot +Anyselected,basic1,6735,6743 +Hatchdata,basic1,6747,7043,HatchdataR,Hatchdatacindy,Listplot,Joincrvs,Enclosing2,Divoptions,Strsplit,Toupper,Anyselected,Bracket,isexists,Makehatch,Textformat,PaO,ReadOutData,Com2nd,Setcolor,GetLinestyle,Texcom,WriteOutData,LLcrd +Shade,basic1,7047,7157,Divoptions,Strsplit,Toupper,Colorcmyk2rgb,Enclosing,Joincrvs,Pcrd,PaO,Listplot,Textformat,Setcolor,Com2nd,Texcom,Dqq diff --git a/Master/texmf-dist/doc/support/ketcindy/ketcindyjs/basic2list.txt b/Master/texmf-dist/doc/support/ketcindy/ketcindyjs/basic2list.txt new file mode 100644 index 00000000000..0b2d9d40f7d --- /dev/null +++ b/Master/texmf-dist/doc/support/ketcindy/ketcindyjs/basic2list.txt @@ -0,0 +1,118 @@ +Dispchoice,basic2,22,27 +Datetime,basic2,31,42,getdatetime +Rotatepoint,basic2,46,56,Lcrd +Translatepoint,basic2,60,70,Lcrd +Scalepoint,basic2,74,84,Lcrd +Reflectpoint,basic2,88,113,Lcrd +Rotatedata,basic2,117,190,Divoptions,Lcrd,MeasureDepth,LLcrd,Pcrd,Textformat,RSform,Com2nd,Setcolor,GetLinestyle,Texcom +Translatedata,basic2,194,259,Divoptions,Lcrd,MeasureDepth,LLcrd,Pcrd,RSform,Textformat,Com2nd,Setcolor,GetLinestyle,Texcom +Scaledata,basic2,263,352,Divoptions,Lcrd,MeasureDepth,LLcrd,Pcrd,Textformat,RSform,Com2nd,Setcolor,GetLinestyle,Texcom +Reflectdata,basic2,356,437,Divoptions,Lcrd,MeasureDepth,LLcrd,Pcrd,RSform,Textformat,Com2nd,Setcolor,GetLinestyle,Texcom +Mksegments,basic2,442,457,Listplot +Mkcircles,basic2,462,482,Strsplit,Circledata +MakeRarg,basic2,486,499,RSslash,Textformat +Htickmark,basic2,503,526,Listplot,Expr +Vtickmark,basic2,530,551,Listplot,Expr,180710to// tmp=MakeRarg +Vtick,basic2,555,565,Listplot +Htick,basic2,569,581,LLcrd,Listplot +Setax,basic2,585,602 +Drwxy,basic2,606,699,Divoptions,Strsplit,Toupper,Arrowdata,Listplot,Expr,Letter,Addax +Drwpt,basic2,703,712,Pointdata +Drawpoint,basic2,715,743,MeasureDepth,Textformat,Com2nd,Drwpt,Setpen +Addax,basic2,747,750 +Expr,basic2,754,768,Letter +Letter,basic2,772,860,Divoptions,Removespace,RSslash,Setcolor,Com2nd,Lcrd,Texcom,Pcrd +Letterrot,basic2,864,906,Divoptions,Letter,Setcolor,Com2nd,Dqq,Texcom +Exprrot,basic2,910,953,Divoptions,Expr,Setcolor,Com2nd,Dqq,Texcom +Slider,basic2,957,997,Toupper,Strsplit,Indexall,Putpoint,Listplot,Putonseg +Putpoint,basic2,1001,1012,Textformat,Pcrd +Putpoint,basic2,1016,1027,Textformat,Pcrd +Bezierpt,basic2,1031,1056,Lcrd +Bezier,basic2,1060,1072,BezierCurve +BezierCurve,basic2,1075,1152,Divoptions,MeasureDepth,Lcrd,Bezierpt,Pcrd,Textformat,RSform,Bezier,Com2nd,Setcolor,GetLinestyle,Texcom +Readcsvsla,basic2,1156,1204,Readplotdigdata,Divoptions,Translatedata +Putbezierdata,basic2,1208,1270,Divoptions,Putpoint,Lcrd,Letter +Bezierstart,basic2,1274,1276 +Mkbezierptcrv,basic2,1280,1306,Readcsvsla,MeasureDepth,Putbezierdata,Bezier +Mkbeziercrv,basic2,1310,1321,MeasureDepth,Bezier +Writebezier,basic2,1325,1367,Bezier,PaO,WriteOutData +Readbezier,basic2,1371,1423,Divoptions,Toupper,ReadOutData,MeasureDepth,Putpoint,Bezier +Ospline,basic2,1427,1486,Dotprod,Lcrd,Bezier +CRspline,basic2,1490,1536,Lcrd,Reflectpoint,Bezier +Beziersmooth,basic2,1540,1601,Bzspline,Putpoint,Lcrd,Bezier +Beziersym,basic2,1605,1654,Bzsspline,Lcrd,Putpoint,Bezier +Listbspline2bz,basic2,1658,1673,Lcrd +Bspline,basic2,1677,1685,Listbspline2bz,BezierCurve +MeetCurve,basic2,1689,1749,MeasureDepth,LLcrd,Lcrd +Putonline,basic2,1753,1782,PutonLine,Divoptions,Lcrd,Putpoint +Putonseg,basic2,1786,1823,LLcrd,Divoptions,Lcrd,Putonline,Pcrd,Textformat +Putoncurve,basic2,1827,1869,Toupper,MeetCurve,Textformat,Pcrd +CrossPoint,basic2,1873,1891,MeetCurve,Putpoint +Periodfun,basic2,1895,1981,Toupper,Op,Plotdata,Textformat,Translatedata,Listplot +Fourierseries,basic2,1985,2010,Assign,Plotdata +Tabledatalight,basic2,2014,2095,Divoptions,Toupper,Tlistplot,Tsegrmv,Addax,Setwindow +Tabledata,basic2,2099,2229,Divoptions,Toupper,Putpoint,Tgrid,Tlistplot,Tsegrmv,Addax,Setwindow +Tseginfo,basic2,2233,2253 +Tsegrmv,basic2,2257,2299,Tseginfo,Changestyle,Tlistplot +Tgrid,basic2,2303,2317 +Tlistplot,basic2,2321,2350,divoptions,Toupper,Tgrid,Listplot +ChangeTablestyle,basic2,2354,2407,Indexall,Changestyle,Tlistplot +Findcell,basic2,2411,2437,Tgrid +Putcell,basic2,2441,2475,Findcell,Letter,Putcellexpr +Putrow,basic2,2479,2487,Putcell +Putrowexpr,basic2,2491,2497,Putrow +PutcoL,basic2,2501,2509,Putcell +PutcoLexpr,basic2,2513,2519,PutcoL +Setrange,basic2,2523,2529,Pcrd +RSform,basic2,2533,2567,PaO,Bracket,PPa +RSslash,basic2,2571,2576 +Rform,basic2,2580,2590,PaO +Defvar,basic2,2594,2638 +IftoR,basic2,2642,2681,PaO,Indexall,Bracket +FortoR,basic2,2685,2714,PaO,Bracket +Deffun,basic2,2718,2765,Bracket,Indexall,FortoR,IftoR,RSform,PaO +Inwindow,basic2,2769,2781 +Dashlinedata,basic2,2785,2858 +Windispg,basic2,2862,2925,Drwxy,MeasureDepth,Dashlinedata,Textformat +WritetoRS,basic2,2929,3162,WritetoSci,Lcrd,c,Assignadd,Datetime,source,Setwindow,Textformat,Openfile,Cindyname,RSform,PPa,iswindows,Indexall,Dqq,PaO +Extractdata,basic2,3166,3222,Divoptions,ReadOutData,Com2nd,Setcolor,GetLinestyle,Texcom +RemoveOut,basic2,3226,3236 +ReadOutData,basic2,3240,3353,Divoptions,Strsplit,Toupper,Pcrd,Textformat +WriteOutData,basic2,3357,3419,Flattenlist,MeasureDepth +Makeshell,basic2,3423,3526,kc +Convsjiswin,basic2,3530,3554,nkfwin,nkfcpdel,isexists,pathsep +Makebat,basic2,3558,3698,kc,iswindows,isincludefull,isexists,Indexall +Addpackage,basic2,3702,3720 +Usegraphics,basic2,3724,3734,Addpackage +Viewtex,basic2,3738,3811,iswindows,Makebat,kc,Makeshell,WritetoRS +Viewparent,basic2,3815,3833,isexists,iswindows,Makebat,Makeshell,WritetoRS,kc +Makecmdlist,basic2,3837,3867 +Savecmdlist,basic2,3871,3877 +Quicksort,basic2,3881,3901 +Lessstr,basic2,3905,3932 +Figpdf,basic2,3936,4053,Removespace,isexists +Makehelplist,basic2,4057,4101,PPa +Helplist,basic2,4105,4159,Makehelplist +Help,basic2,4163,4214 +Helpkey,basic2,4218,4236,Help +Slidework,basic2,4240,4259,isexists,makedir,pathsep,Changework +Setslidemargin,basic2,4263,4266 +Setslidepage,basic2,4270,4295 +Setslidemain,basic2,4299,4323 +Setslidebody,basic2,4327,4364 +Setslidehyper,basic2,4368,4446,Divoptions,Addpackage,Indexall,Toupper +Settitle,basic2,4450,4521,Toupper,Indexall +Maketitle,basic2,4525,4620,iswindows,Makebat,Makeshell,kc,Cindyname,isexists,PaO +Repeatsameslide,basic2,4624,4779,Indexall +Presentation,basic2,4783,5448,readfile2str,isexists,Removespace,fileslist,Repeatsameslide +Mkslides,basic2,5452,5516,Fillblack,Changework,Setdirectory,setexec,isexists,Presentation,iswindows,Makebat,Makeshell,kc,pathsep,Fillrestore +Mkslidesummary,basic2,5520,5585,Fillblack,pathsep,ismacosx,setexec,PPa,PaO,CalcbyR,iswindows,Makebat,Makeshell,kc,Changework,Fillstore +Example,basic2,5589,5613 +BBdata,basic2,5617,5760,Divoptions,Toupper,ismacosx,iswindows,kc,Sprintf,Removespace +Findfun,basic2,5764,5827,Removespace,Indexall +Extractfun,basic2,5831,5848,Indexall,Findfun +Extractall,basic2,5857,5884 +Copyketcindyjs,basic2,5888,5938,iswindows,Dqq,kc +Ketjsoption,basic2,5942,5943,Setketcindyjs +Setketcindyjs,basic2,5947,5964,Divoptions +Mkketcindyjs,basic2,5968,6283,Strsplit,Toupper,Copyketcindyjs,isexists,Extractfun,Readcsv,Extractall,pathsep,Readlines,use,Removespace,Dqq,Indexall,rgb diff --git a/Master/texmf-dist/doc/support/ketcindy/ketcindyjs/commonused.txt b/Master/texmf-dist/doc/support/ketcindy/ketcindyjs/commonused.txt new file mode 100644 index 00000000000..33f9e5bdf12 --- /dev/null +++ b/Master/texmf-dist/doc/support/ketcindy/ketcindyjs/commonused.txt @@ -0,0 +1,401 @@ +Ketinit():=Ketinit("fig",1,[-5,5],[-5,5]); //181001 +Ketinit(Arg):=(//181001from + if(isstring(Arg), + Ketinit(Arg,1,[-5,5],[-5,5]); + , + Ketinit("fig",Arg,[-5,5],[-5,5]); + ); +); +Ketinit(work,sy,rangex,rangey):=(//181001to + 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; //180504 + 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; + YaCut=0; YasenStyle="dr,1"; Yajiristyle="tf"; + KETPICCOUNT=1; + KCOLOR=[0,0,0]; + GLIST=[]; + GCLIST=[]; + GOUTLIST=[]; + POUTLIST=[]; + VLIST=[]; + FUNLIST=[]; + LETTERlist=[]; + COM0thlist=[]; + COM1stlist=[]; + COM2ndlist=[]; + COM2ndlistb=[]; //180612 + ADDAXES="1"; + AXSTYLE=["l","x","e","y","n","O","sw","","",""]; //181216 + AXCOUNT=1; //181215 + LFmark=unicode("000a"); + CRmark=unicode("000d");//16.12.13 + Dq=unicode("0022"); + CommonMake=0;//180610 + WaitUnit=10; + CONTINUED=0; + OutComList=[]; + OutFileLIst=[]; // 15.10.22 + FigPdfList=[]; // 16.04.08 + Fillstore(); //181212 + ADDPACK=[]; // 16.05.16 + GPACK="tpic"; //180817 + ErrFlag=0; + KETJSOP=[]; //190129 + ArrowlineNumber=1; // 15.01.05 + ArrowheadNumber=1; + BezierNumber=1; //15.01.03 + SCALEX=1; + SCALEY=sy; + XMIN=rangex_1/SCALEX; + XMAX=rangex_2/SCALEX; + YMIN=rangey_1/SCALEY; + YMAX=rangey_2/SCALEY; + Setwindow("Msg=n"); // 16.05.31 +); +Fillstore():=( + regional(tmp,tmp1,out,dtL,txtL,clrL,txt,clr,nn,jj); + dtL=[ //181209from + ["Figure",[1,0.29,0.29]],["Parent",[1,1,0]], + ["ParaF",[0,1,1]],["Flip",[0,0,1]],["Anime",[0.51,0.95,1]], + ["Title",[0,1,0]],["Slide",[0.47,0,0.72]],["Digest",[1,0.74,0.47]], + ["KeTJS",[0,1,1]],["KeTJSoff",[0,1,1]], + ["Objview",[0,1,0]] + ]; + txtL=apply(dtL,#_1); + clrL=apply(dtL,#_2); + tmp1=allelements(); + tmp1=select(tmp1,indexof(#.name,"Text")>0); + out=[]; + forall(1..(length(tmp1)),nn, + tmp=tmp1_nn; + txt=tmp.text; + tmp=select(1..(length(txtL)),txtL_#==txt); + if(length(tmp)>0, + jj=tmp_1; + clr=clrL_jj; + tmp=tmp1_nn; + tmp.fillcolor=clr; + , + tmp=tmp1_nn; + clr=tmp.fillcolor; + ); + out=append(out,[tmp.name,clr,tmp.text]); + ); //181209to + out; +); +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; + , + 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):=( + XMIN=xrange_1; + XMAX=xrange_2; + YMIN=yrange_1; + YMAX=yrange_2; + Putpoint("SW",[XMIN,YMIN]);//181016 + Putpoint("NE",[XMAX,YMAX]);//181016 +); +Textformat(value,dig):=( + 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), + if(isstring(value),tmp1=Dq+value+Dq,tmp1=text(value)); // 15.10.02 + , + tmp1=format(value,dig); + ); + ); + tmp1; +); +MeasureDepth(list):=( + regional(tmp,tmp1,Depth,Flg); + Flg=0; + Depth=0; + if(length(list)>0, //180501 + if(ispoint(list), + 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; + ); + ); + ); + );//180501 + Depth; +); +Drwxy():=Drwxy(0,[]); //190103from +Drwxy(Arg):=( + if(islist(Arg),Drwxy(0,Arg); Drwxy(Arg,[])); +); +Drwxy(add):=Drwxy(add,[]); +Drwxy(add,optionsorg):=( //190103to + regional(options,color,eqL,strL,org,xrng,yrng,ax,st,nn,size, + linesty,colorax,colorla,tmp,tmp1,tmp2); + options=optionsorg; + tmp=Divoptions(options); + color=tmp_(length(tmp)-2); + eqL=tmp_5; + org=GENTEN; + xrng=[XMIN,XMAX]; //190103 + yrng=[YMIN,YMAX]; //190103 + ax=AXSTYLE; + linesty=ax_8; + if(isstring(ax_9),colorax=ax_9,colorax=text(ax_9)); + if(length(colorax)>0, + colorax="Color="+colorax; + ); + if(isstring(ax_10),colorla=ax_10,colorla=text(ax_10)); + if(length(colorla)>0, //181217from + colorla="Color="+colorla; + , + if(length(colorax)>0, + colorla=colorax; + ); + ); //181217to + forall(eqL, + tmp=Strsplit(#,"="); + tmp1=Toupper(substring(tmp_1,0,1)); + if(tmp1=="O", //190103from + org=parse(tmp_2); + options=remove(options,[#]); + ); //190103to + if(tmp1=="X", + xrng=parse(tmp_2); + options=remove(options,[#]); + ); + if(tmp1=="Y", + yrng=parse(tmp_2); + options=remove(options,[#]); + ); + if(tmp1=="A", + tmp2=tokenize(tmp_2,","); + st=1; nn=1; + if(isreal(tmp2_1), + st=2; + nn=tmp2_1; + ); + forall(st..(length(tmp2)), + tmp=tmp2_#; + if(length(tmp)>0,ax_nn=tmp); + nn=nn+1; + ); + options=remove(options,[#]); + ); + ); + options=append(options,linesty); //181216 + if(substring(ax_1,0,1)=="a", + strL=select(options,isstring(#)); //181216 + tmp=select(strL,contains(["dr","da","do","id"],substring(#,0,2))); + if(length(tmp)==0,options=append(options,YasenStyle)); + tmp=substring(ax_1,1,length(ax_1)); //181216[2lines] + if(length(tmp)>0,size=parse(tmp),size=YaSize); + tmp1=concat(options,[size,YaAngle,YaPosition,YaCut,colorax]);//181216 + tmp=[[xrng_1,org_2],[xrng_2,org_2]]; + Arrowdata("axx"+text(AXCOUNT),tmp,tmp1); + tmp=[[org_1,yrng_1],[org_1,yrng_2]]; + Arrowdata("axy"+text(AXCOUNT),tmp,tmp1); + , + tmp=[[xrng_1,org_2],[xrng_2,org_2]]; + tmp1=append(options,colorax);//181216 + Listplot("axx"+text(AXCOUNT),tmp,tmp1); + tmp=[[org_1,yrng_1],[org_1,yrng_2]]; + Listplot("axy"+text(AXCOUNT),tmp,tmp1); + ); + AXCOUNT=AXCOUNT+1; + Expr([[xrng_2,org_2],ax_3,ax_2],[colorla]);//181216[3lines] + Expr([[org_1,yrng_2],ax_5,ax_4],[colorla]); + Letter([org,ax_7,ax_6],[colorla]); + if(add==0, //190103 + Addax(0); + ); +); +Dashlinedata(dataorg,sen,gap,ptn):=( + regional(data,eps,dtall,len,lenlist,ii,lenall,kari, + naga,tobi,nsen,seglist,segunit,hajime,owari,jj, + flg,tt,ptL,out,tmp,tmp1,tmp2); + eps=10.0^(-6); + if(isstring(dataorg),data=parse(dataorg),data=dataorg); + dtall=length(data); + out=[]; + len=0; lenlist=[0]; + forall(2..dtall,ii, + len=len+|data_ii-data_(ii-1)|; + lenlist=append(lenlist,len); + ); + lenall=lenlist_dtall; + if(lenall>0, + kari=(sen+gap)*0.1;naga=sen*0.1;tobi=gap*0.1; + if(|data_1-data_dtall|<eps, + nsen=max([re(ceil(lenall/kari)),3]); + segunit=lenall/nsen; + naga=segunit*sen/(sen+gap); + tobi=segunit*gap/(sen+gap); + seglist=apply(0..(nsen-1),#*segunit); + , + if(ptn==0, + nsen=max([re(ceil((lenall+tobi)/kari)),3]); + segunit=lenall*(sen+gap)/(nsen*sen+(nsen-1)*gap); + naga=segunit*sen/(sen+gap); + tobi=segunit*gap/(sen+gap); + seglist=apply(0..(nsen-1),#*segunit); + , + nsen=max([re(ceil((lenall+naga)/kari)),3]); + segunit=lenall*(sen+gap)/((nsen-1)*sen+nsen*gap); + naga=segunit*sen/(sen+gap); + tobi=segunit*gap/(sen+gap); + seglist=apply(0..(nsen-2),tobi+#*segunit); + ); + ); + hajime=1;owari=1; + forall(1..(length(seglist)),ii, + len=seglist_ii; + flg=0; + forall(owari..dtall,jj, + if(flg==0, + if(len<lenlist_jj-eps, + flg=jj; + ); + ); + ); + if(flg>0,hajime=flg-1); + flg=0; + forall(hajime..dtall,jj, + if(flg==0, + if(len+naga<lenlist_jj-eps, + flg=jj; + ); + ); + ); + if(flg>0,owari=flg-1); + tt=len-lenlist_hajime; + tt=tt/(lenlist_(hajime+1)-lenlist_hajime); + tmp=data_hajime+tt*(data_(hajime+1)-data_hajime); + ptL=[tmp]; + forall((hajime+1)..owari,jj, + ptL=append(ptL,data_jj); + ); + tt=(len+naga-lenlist_owari); + tt=tt/(lenlist_(owari+1)-lenlist_owari); + tmp=data_owari+tt*(data_(owari+1)-data_owari); + ptL=append(ptL,tmp); + out=append(out,ptL); + ); + ); + out; +); +Windispg():=( + if(ADDAXES=="1", //181215from + Drwxy(); + ADDAXES="0"; + ); //181215to + Windispg(GCLIST); //190125 +); +Windispg(gcLorg):=( //190125 + regional(gcL,Nj,Nk,Dt,Vj,tmp,tmp1,tmp2,tmp3,tmp4,opcindy); + gcL=gcLorg; //190125from + if(length(gcL)>0, + if(!islist(gcL_1),gcL=[gcL]); + ); //190125to + gsave(); + layer(KETPIClayer); + forall(gcL,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; + tmp=Nj_2; //190119from + if(!islist(tmp),tmp=[tmp,""]); //190123 + if(tmp_1<0,tmp1=0,tmp1=tmp_1); //190119from + if(tmp1<10, + forall(Dt,Nk, + if(length(Nk)>1, + tmp3=""; + if(indexof(opcindy,"color")==0, //190122from + tmp3=tmp3+",linecolor->"+KCOLOR; + ); + tmp3=tmp3+opcindy; + if(tmp1==0, //190126from + if((length(tmp_2)>0)&(indexof(opcindy,"size")==0), + tmp3=tmp3+",size->"+tmp_2; + ); //190124to + tmp="connect("+Textformat(Nk,5)+tmp3+");";//190125 + parse(tmp); + , + if(tmp1==1, + tmp4=Dashlinedata(Nk,2.5,2.5,0); + forall(tmp4, + tmp="connect("+Textformat(#,5)+tmp3+");"; + parse(tmp); + ); + , + tmp3=",dashtype->"+text(tmp1)+tmp3; + forall(1..(length(Nk)-1), + tmp="draw("+Textformat([Nk_#,Nk_(#+1)],5)+tmp3+");"; + parse(tmp); + ); + ); + ); + , + tmp="draw("+text(Nk_1)+opcindy+");"; // 14.12.31 + parse(tmp); + ); //190126to + ); + ); + ); + ); + grestore(); + layer(0); +); diff --git a/Master/texmf-dist/doc/support/ketcindy/ketcindyjs/ignoredfun.txt b/Master/texmf-dist/doc/support/ketcindy/ketcindyjs/ignoredfun.txt new file mode 100644 index 00000000000..400c3a7d726 --- /dev/null +++ b/Master/texmf-dist/doc/support/ketcindy/ketcindyjs/ignoredfun.txt @@ -0,0 +1,39 @@ +Changesetting +Changework +Cindyname +Com0th +Com1st +Com2nd +Com2ndpre +Copyketcindyjs +Dashline +Definecolor +Dottedline +Drwline +Example +Fontsize +Help +Helplist +Invdashline +Inwindow +Ketjsoption +Mkketcindyjs +Presentation +Putbezierdata +Putpoint +Readcsvsla +RSform +RSslash +Setketcindyjs +Setslidebody +Setslidehyper +Texcom + +Ketinit +Windispg +Fillstore +Setwindow +Drwxy +MeasureDepth +Dashlinedata +Textformat diff --git a/Master/texmf-dist/doc/support/ketcindy/ketcindyjs/katex-plugin.js b/Master/texmf-dist/doc/support/ketcindy/ketcindyjs/katex-plugin.js new file mode 100644 index 00000000000..5870742d18f --- /dev/null +++ b/Master/texmf-dist/doc/support/ketcindy/ketcindyjs/katex-plugin.js @@ -0,0 +1,296 @@ +(function() { + "use strict"; + + var log = console.log.bind(console); + var fonts = {}; + var waitingInstances = []; + var repaintTimeout = null; + + // Load required components: WebFontLoader and katex + + var WebFontLoader = null; + var katex = null; + + CindyJS.loadScript("WebFont", "webfont.js", fontLoaderReady); + CindyJS.loadScript("katex", "katex/katex.min.js", katexReady); + + function fontLoaderReady() { + log("WebFontLoader is now available."); + WebFontLoader = window.WebFont; + loadFonts(["KaTeX_Math:i4", "KaTeX_Main:n4"]); // pre-load common fonts + someScriptLoaded(); + } + + function katexReady() { + log("KaTeX is now available."); + katex = window.katex; + someScriptLoaded(); + } + + function someScriptLoaded() { + if (allScriptsLoaded()) + triggerRepaints(); + } + + function allScriptsLoaded() { + return katex && WebFontLoader; + } + + // Load common and used fonts + + function loadFonts(fontsToLoad) { + log("Loading ", fontsToLoad); + fontsToLoad.forEach(function(fvd) { + fonts[fvd] = "loading"; + }); + WebFontLoader.load({ + custom: { + families: fontsToLoad, + testStrings: { + "KaTeX_Size1": "()[]", + "KaTeX_Size2": "()[]", + "KaTeX_Size3": "()[]", + "KaTeX_Size4": "()[]" + }, + urls: [CindyJS.getBaseDir() + "katex/katex.min.css"] + }, + fontactive: fontActive + }); + } + + function fontActive(font, variant) { + var fvd = font + ":" + variant; + log("Loaded " + fvd); + fonts[fvd] = true; // done loading + if (repaintTimeout === null) + repaintTimeout = setTimeout(triggerRepaints, 0); + } + + // Handle repainting + + function triggerRepaints() { + repaintTimeout = null; + var instances = waitingInstances; + waitingInstances = []; + for (var i = 0; i < instances.length; ++i) + instances[i].evokeCS(""); // trigger repaint + } + + function haveToWait(i) { + if (!waitingInstances.some(function(j) { + return i === j; + })) { + waitingInstances.push(i); + } + } + + // Plugin API + + CindyJS.registerPlugin(1, "katex", plugin); + + function plugin(api) { + var storage = {instance: api.instance, cache: {}, misses:0}; + api.setTextRenderer( + katexRenderer.bind(storage), + katexHtml.bind(storage)); + } + + // Text box, with same api as a prepared KaTeX box but using current font + + function textBox(ctx, text) { + this.width = ctx.measureText(text).width; + this.renderAt = function(x, y) { + ctx.fillText(text, x, y); + }; + } + + textBox.prototype.height = 0; + + textBox.prototype.depth = 0; + + // Custom macros defined specifically for Cinderella / CindyJS + + var macros = { + "\\mbox": "\\text", + "\\lamda": "\\lambda", + "\\my": "\\mu", + "\\ny": "\\nu", + "\\ypsilon": "\\upsilon", + "\\Alpha": "\\mathrm{A}", + "\\Beta": "\\mathrm{B}", + "\\Epsilon": "\\mathrm{E}", + "\\Zeta": "\\mathrm{Z}", + "\\Eta": "\\mathrm{H}", + "\\Iota": "\\mathrm{I}", + "\\Kappa": "\\mathrm{K}", + "\\Lamda": "\\Lambda", + "\\Mu": "\\mathrm{M}", + "\\My": "\\Mu", + "\\Nu": "\\mathrm{N}", + "\\Ny": "\\Nu", + "\\Omicron": "\\mathrm{O}", + "\\Rho": "\\mathrm{P}", + "\\Tau": "\\mathrm{T}", + "\\Ypsilon": "\\Upsilon", + "\\Chi": "\\mathrm{X}", + "\\dots": "\\ldots", + "\\C": "\\mathbb{C}", + "\\H": "\\mathbb{H}", + "\\N": "\\mathbb{N}", + "\\P": "\\mathbb{P}", + "\\Q": "\\mathbb{Q}", + "\\R": "\\mathbb{R}", + "\\Z": "\\mathbb{Z}", + "\\slash": "/", + "\\operatorname": "\\text", // till KaTeX #145 gets resolved + "\\arccot": "\\operatorname{arccot}", + "\\arcsec": "\\operatorname{arcsec}", + "\\arccsc": "\\operatorname{arccsc}", + }; + + // Report whether we are ready + + var firstMessage = true; + + function katexRenderer(ctx, text, x, y, align, fontSize, lineHeight) { + var key = fontSize + "," + lineHeight + ":" + text; + var fontsMissing = false; + var fontsToLoad = {}; + var parts, rows, row, n, i, j; + if (this.cache.hasOwnProperty(key)) { + rows = this.cache[key]; + } else { + var opts = { + fontSize: fontSize, + macros: macros + }; + parts = text.split("$"); + row = []; + rows = [row]; + n = parts.length; + if (n > 1 && !allScriptsLoaded()) { + if (firstMessage) { + log("KaTeX is not ready yet."); + firstMessage = false; + } + haveToWait(this.instance); + return; + } + for (i = 0; i < n; ++i) { + var part = parts[i]; + var box; + if ((i & 1) === 0) { // plain text not TeX + if (part.indexOf("\n") === -1) { + row.push(new textBox(ctx, part)); + } else { + var rows2 = part.split("\n"); + row.push(new textBox(ctx, rows2[0])); + for (j = 1; j < rows2.length; ++j) { + row = [new textBox(ctx, rows2[j])]; + rows.push(row); + } + } + } else { + try { + var tex = parts[i].replace(/°/g, "\\degree"); + box = katex.canvasBox(tex, ctx, opts); + row.push(box); + for (var font in box.fontsUsed) { + var fontState = fonts[font]; + if (fontState !== true) { + fontsMissing = true; + if (fontState === undefined) + fontsToLoad[font] = true; + } + } + } catch(e) { + console.error(e); + row.push(new textBox(ctx, "$" + parts[i] + "$")); + } + } + } + if (++this.misses === 1024) { + this.misses = 0; + this.cache = {}; + } + if (!fontsMissing) { + this.cache[key] = rows; + } + } + if (fontsMissing) { + fontsToLoad = Object.keys(fontsToLoad); + if (fontsToLoad.length !== 0) { + loadFonts(fontsToLoad); + } + haveToWait(this.instance); + } else { + var left = Infinity; + var right = -Infinity; + var top = y - 0.7 * 1.2 * fontSize; + var bottom = -Infinity; + for (i = 0; i < rows.length; ++i) { + var total = 0; + var pos = x; + row = rows[i]; + n = row.length; + for (j = 0; j < n; ++j) + total += row[j].width; + var pos = x - align * total; + for (j = 0; j < n; ++j) { + row[j].renderAt(pos, y); + if (left > pos) left = pos; + if (top > y - row[j].height) top = y - row[j].height; + if (bottom < y + row[j].depth) bottom = y + row[j].depth; + pos += row[j].width; + if (right < pos) right = pos; + } + y += lineHeight; + // TODO: take vertical dimensions of formulas into account + } + bottom = Math.max(bottom, y - lineHeight + 0.3 * 1.2 * fontSize); + return { + left: left, + right: right, + top: top, + bottom: bottom + }; + } + }; + + function katexHtml(element, text) { + var opts = { + macros: macros + }; + var parts = text.split("$"); + var n = parts.length; + if (n > 1 && !allScriptsLoaded()) { + if (firstMessage) { + log("KaTeX is not ready yet."); + firstMessage = false; + } + haveToWait(this.instance); + return false; + } + while (element.firstChild) + element.removeChild(element.firstChild); + for (var i = 0; i < n; ++i) { + var text = parts[i]; + if ((i & 1) === 0) { + if (text.indexOf("\n") !== -1) { + var rows = text.split("\n"); + element.appendChild(document.createTextNode(rows[0])); + for (var j = 1; j < rows.length; ++j) { + element.appendChild(document.createElement("br")); + element.appendChild(document.createTextNode(rows[j])); + } + } else { + element.appendChild(document.createTextNode(text)); + } + } else { + var span = document.createElement("span"); + katex.render(text, span, opts); + element.appendChild(span); + } + } + } +})(); diff --git a/Master/texmf-dist/doc/support/ketcindy/ketcindyjs/katex/fonts/KaTeX_Main-Regular.ttf 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s={funcName:e,parser:this,positions:r,token:i};return a[e].handler(s,t)};c.prototype.parseArguments=function(e,t){var r=t.numArgs+t.numOptionalArgs;if(r===0){return[[this.pos]]}var i=t.greediness;var s=[this.pos];var n=[];for(var l=0;l<r;l++){var o=this.nextToken;var u=t.argTypes&&t.argTypes[l];var c;if(l<t.numOptionalArgs){if(u){c=this.parseGroupOfType(u,true)}else{c=this.parseGroup(true)}if(!c){n.push(null);s.push(this.pos);continue}}else{if(u){c=this.parseGroupOfType(u)}else{c=this.parseGroup()}if(!c){if(!this.settings.throwOnError&&this.nextToken.text[0]==="\\"){c=new m(this.handleUnsupportedCmd(this.nextToken.text),false)}else{throw new h("Expected group after '"+e+"'",o)}}}var p;if(c.isFunction){var f=a[c.result].greediness;if(f>i){p=this.parseFunction(c)}else{throw new h("Got function '"+c.result+"' as "+"argument to '"+e+"'",o)}}else{p=c.result}n.push(p);s.push(this.pos)}n.push(s);return n};c.prototype.parseGroupOfType=function(e,t){var r=this.mode;if(e==="original"){e=r}if(e==="color"){return this.parseColorGroup(t)}if(e==="size"){return this.parseSizeGroup(t)}this.switchMode(e);if(e==="text"){while(this.nextToken.text===" "){this.consume()}}var a=this.parseGroup(t);this.switchMode(r);return a};c.prototype.parseStringGroup=function(e,t){if(t&&this.nextToken.text!=="["){return null}var r=this.mode;this.mode="text";this.expect(t?"[":"{");var a="";var i=this.nextToken;var s=i;while(this.nextToken.text!==(t?"]":"}")){if(this.nextToken.text==="EOF"){throw new h("Unexpected end of input in "+e,i.range(this.nextToken,a))}s=this.nextToken;a+=s.text;this.consume()}this.mode=r;this.expect(t?"]":"}");return i.range(s,a)};c.prototype.parseRegexGroup=function(e,t){var r=this.mode;this.mode="text";var a=this.nextToken;var i=a;var s="";while(this.nextToken.text!=="EOF"&&e.test(s+this.nextToken.text)){i=this.nextToken;s+=i.text;this.consume()}if(s===""){throw new h("Invalid "+t+": '"+a.text+"'",a)}this.mode=r;return a.range(i,s)};c.prototype.parseColorGroup=function(e){var t=this.parseStringGroup("color",e);if(!t){return null}var r=/^(#[a-z0-9]+|[a-z]+)$/i.exec(t.text);if(!r){throw new h("Invalid color: '"+t.text+"'",t)}return new m(new p("color",r[0],this.mode),false)};c.prototype.parseSizeGroup=function(e){var t;if(!e&&this.nextToken.text!=="{"){t=this.parseRegexGroup(/^[-+]? *(?:$|\d+|\d+\.\d*|\.\d*) *[a-z]{0,2}$/,"size")}else{t=this.parseStringGroup("size",e)}if(!t){return null}var r=/([-+]?) *(\d+(?:\.\d*)?|\.\d+) *([a-z]{2})/.exec(t.text);if(!r){throw new h("Invalid size: '"+t.text+"'",t)}var a={number:+(r[1]+r[2]),unit:r[3]};if(a.unit!=="em"&&a.unit!=="ex"&&a.unit!=="mu"){throw new h("Invalid unit: '"+a.unit+"'",t)}return new m(new p("color",a,this.mode),false)};c.prototype.parseGroup=function(e){var t=this.nextToken;if(this.nextToken.text===(e?"[":"{")){this.consume();var r=this.parseExpression(false,e?"]":null);var a=this.nextToken;this.expect(e?"]":"}");if(this.mode==="text"){this.formLigatures(r)}return new m(new p("ordgroup",r,this.mode,t,a),false)}else{return e?null:this.parseSymbol()}};c.prototype.formLigatures=function(e){var t;var r=e.length-1;for(t=0;t<r;++t){var a=e[t];var i=a.value;if(i==="-"&&e[t+1].value==="-"){if(t+1<r&&e[t+2].value==="-"){e.splice(t,3,new p("textord","---","text",a,e[t+2]));r-=2}else{e.splice(t,2,new p("textord","--","text",a,e[t+1]));r-=1}}if((i==="'"||i==="`")&&e[t+1].value===i){e.splice(t,2,new p("textord",i+i,"text",a,e[t+1]));r-=1}}};c.prototype.parseSymbol=function(){var e=this.nextToken;if(a[e.text]){this.consume();return new m(e.text,true,e)}else if(n[this.mode][e.text]){this.consume();return new m(new p(n[this.mode][e.text].group,e.text,this.mode,e),false,e)}else if(this.mode==="text"&&o.test(e.text)){this.consume();return new m(new p("textord",e.text,this.mode,e),false,e)}else{return null}};c.prototype.ParseNode=p;t.exports=c},{"./MacroExpander":4,"./ParseError":6,"./environments":17,"./functions":20,"./parseData":22,"./symbols":24,"./unicodeRegexes":25,"./utils":26}],8:[function(e,t,r){var a=e("./Options");var i=e("./Style");function s(e,t){return e===undefined?t:e}function n(e){e=e||{};this.displayMode=s(e.displayMode,false);this.throwOnError=s(e.throwOnError,true);this.errorColor=s(e.errorColor,"#cc0000");this.macros=e.macros||{}}n.prototype.initialOptions=function(){var e=i.TEXT;if(this.displayMode){e=i.DISPLAY}var t=new a({style:e,size:"size5"});return t};t.exports=n},{"./Options":5,"./Style":9}],9:[function(e,t,r){var a=e("./fontMetrics.js").sigmas;var i=[{},{},{}];var s;for(var n in a){if(a.hasOwnProperty(n)){for(s=0;s<3;s++){i[s][n]=a[n][s]}}}for(s=0;s<3;s++){i[s].emPerEx=a.xHeight[s]/a.quad[s]}function l(e,t,r,a){this.id=e;this.size=t;this.cramped=a;this.sizeMultiplier=r;this.metrics=i[t>0?t-1:0]}l.prototype.sup=function(){return y[b[this.id]]};l.prototype.sub=function(){return y[w[this.id]]};l.prototype.fracNum=function(){return y[x[this.id]]};l.prototype.fracDen=function(){return y[k[this.id]]};l.prototype.cramp=function(){return y[z[this.id]]};l.prototype.cls=function(){return d[this.size]+(this.cramped?" cramped":" uncramped")};l.prototype.reset=function(){return g[this.size]};l.prototype.isTight=function(){return this.size>=2};var o=0;var u=1;var h=2;var c=3;var p=4;var m=5;var f=6;var v=7;var d=["displaystyle textstyle","textstyle","scriptstyle","scriptscriptstyle"];var g=["reset-textstyle","reset-textstyle","reset-scriptstyle","reset-scriptscriptstyle"];var y=[new l(o,0,1,false),new l(u,0,1,true),new l(h,1,1,false),new l(c,1,1,true),new l(p,2,.7,false),new l(m,2,.7,true),new l(f,3,.5,false),new l(v,3,.5,true)];var b=[p,m,p,m,f,v,f,v];var w=[m,m,m,m,v,v,v,v];var x=[h,c,p,m,f,v,f,v];var k=[c,c,m,m,v,v,v,v];var z=[u,u,c,c,m,m,v,v];t.exports={DISPLAY:y[o],TEXT:y[h],SCRIPT:y[p],SCRIPTSCRIPT:y[f]}},{"./fontMetrics.js":18}],10:[function(e,t,r){var a=e("./domTree");var i=e("./fontMetrics");var s=e("./symbols");var n=e("./utils");var l=["\\Gamma","\\Delta","\\Theta","\\Lambda","\\Xi","\\Pi","\\Sigma","\\Upsilon","\\Phi","\\Psi","\\Omega"];var o=["\u0131","\u0237","\xa3"];var u=function(e,t,r,n,l){if(s[r][e]&&s[r][e].replace){e=s[r][e].replace}var o=i.getCharacterMetrics(e,t);var u;if(o){var h=o.italic;if(r==="text"){h=0}u=new a.symbolNode(e,o.height,o.depth,h,o.skew,l)}else{typeof console!=="undefined"&&console.warn("No character metrics for '"+e+"' in style '"+t+"'");u=new a.symbolNode(e,0,0,0,0,l)}if(n){if(n.style.isTight()){u.classes.push("mtight")}if(n.getColor()){u.style.color=n.getColor()}}return u};var h=function(e,t,r,a){if(e==="\\"||s[t][e].font==="main"){return u(e,"Main-Regular",t,r,a)}else{return u(e,"AMS-Regular",t,r,a.concat(["amsrm"]))}};var c=function(e,t,r,a,i){if(i==="mathord"){return p(e,t,r,a)}else if(i==="textord"){return u(e,"Main-Regular",t,r,a.concat(["mathrm"]))}else{throw new Error("unexpected type: "+i+" in mathDefault")}};var p=function(e,t,r,a){if(/[0-9]/.test(e.charAt(0))||n.contains(o,e)||n.contains(l,e)){return u(e,"Main-Italic",t,r,a.concat(["mainit"]))}else{return u(e,"Math-Italic",t,r,a.concat(["mathit"]))}};var m=function(e,t,r){var a=e.mode;var l=e.value;if(s[a][l]&&s[a][l].replace){l=s[a][l].replace}var h=["mord"];var m=t.font;if(m){if(m==="mathit"||n.contains(o,l)){return p(l,a,t,h)}else{var f=k[m].fontName;if(i.getCharacterMetrics(l,f)){return u(l,f,a,t,h.concat([m]))}else{return c(l,a,t,h,r)}}}else{return c(l,a,t,h,r)}};var f=function(e){var t=0;var r=0;var a=0;if(e.children){for(var i=0;i<e.children.length;i++){if(e.children[i].height>t){t=e.children[i].height}if(e.children[i].depth>r){r=e.children[i].depth}if(e.children[i].maxFontSize>a){a=e.children[i].maxFontSize}}}e.height=t;e.depth=r;e.maxFontSize=a};var v=function(e,t,r){var i=new a.span(e,t,r);f(i);return i};var d=function(e,t){e.children=t.concat(e.children);f(e)};var g=function(e){var t=new a.documentFragment(e);f(t);return t};var y=function(e,t){var r=v([],[new a.symbolNode("\u200b")]);r.style.fontSize=t/e.style.sizeMultiplier+"em";var i=v(["fontsize-ensurer","reset-"+e.size,"size5"],[r]);return i};var b=function(e,t,r,i){var s;var n;var l;if(t==="individualShift"){var o=e;e=[o[0]];s=-o[0].shift-o[0].elem.depth;n=s;for(l=1;l<o.length;l++){var u=-o[l].shift-n-o[l].elem.depth;var h=u-(o[l-1].elem.height+o[l-1].elem.depth);n=n+u;e.push({type:"kern",size:h});e.push(o[l])}}else if(t==="top"){var c=r;for(l=0;l<e.length;l++){if(e[l].type==="kern"){c-=e[l].size}else{c-=e[l].elem.height+e[l].elem.depth}}s=c}else if(t==="bottom"){s=-r}else if(t==="shift"){s=-e[0].elem.depth-r}else if(t==="firstBaseline"){s=-e[0].elem.depth}else{s=0}var p=0;for(l=0;l<e.length;l++){if(e[l].type==="elem"){p=Math.max(p,e[l].elem.maxFontSize)}}var m=y(i,p);var f=[];n=s;for(l=0;l<e.length;l++){if(e[l].type==="kern"){n+=e[l].size}else{var d=e[l].elem;var g=-d.depth-n;n+=d.height+d.depth;var b=v([],[m,d]);b.height-=g;b.depth+=g;b.style.top=g+"em";f.push(b)}}var w=v(["baseline-fix"],[m,new a.symbolNode("\u200b")]);f.push(w);var x=v(["vlist"],f);x.height=Math.max(n,x.height);x.depth=Math.max(-s,x.depth);return x};var w={size1:.5,size2:.7,size3:.8,size4:.9,size5:1,size6:1.2,size7:1.44,size8:1.73,size9:2.07,size10:2.49};var x={"\\qquad":{size:"2em",className:"qquad"},"\\quad":{size:"1em",className:"quad"},"\\enspace":{size:"0.5em",className:"enspace"},"\\;":{size:"0.277778em",className:"thickspace"},"\\:":{size:"0.22222em",className:"mediumspace"},"\\,":{size:"0.16667em",className:"thinspace"},"\\!":{size:"-0.16667em",className:"negativethinspace"}};var k={mathbf:{variant:"bold",fontName:"Main-Bold"},mathrm:{variant:"normal",fontName:"Main-Regular"},textit:{variant:"italic",fontName:"Main-Italic"},mathbb:{variant:"double-struck",fontName:"AMS-Regular"},mathcal:{variant:"script",fontName:"Caligraphic-Regular"},mathfrak:{variant:"fraktur",fontName:"Fraktur-Regular"},mathscr:{variant:"script",fontName:"Script-Regular"},mathsf:{variant:"sans-serif",fontName:"SansSerif-Regular"},mathtt:{variant:"monospace",fontName:"Typewriter-Regular"}};t.exports={fontMap:k,makeSymbol:u,mathsym:h,makeSpan:v,makeFragment:g,makeVList:b,makeOrd:m,prependChildren:d,sizingMultiplier:w,spacingFunctions:x}},{"./domTree":16,"./fontMetrics":18,"./symbols":24,"./utils":26}],11:[function(e,t,r){var a=e("./ParseError");var i=e("./Style");var s=e("./buildCommon");var n=e("./delimiter");var l=e("./domTree");var o=e("./fontMetrics");var u=e("./utils");var h=s.makeSpan;var c=function(e){return e instanceof l.span&&e.classes[0]==="mspace"};var p=function(e){return e&&e.classes[0]==="mbin"};var m=function(e,t){if(e){return u.contains(["mbin","mopen","mrel","mop","mpunct"],e.classes[0])}else{return t}};var f=function(e,t){if(e){return u.contains(["mrel","mclose","mpunct"],e.classes[0])}else{return t}};var v=function(e,t,r){var a=[];for(var i=0;i<e.length;i++){var n=e[i];var o=z(n,t);if(o instanceof l.documentFragment){Array.prototype.push.apply(a,o.children)}else{a.push(o)}}var u=null;for(i=0;i<a.length;i++){if(c(a[i])){u=u||[];u.push(a[i]);a.splice(i,1);i--}else if(u){if(a[i]instanceof l.symbolNode){a[i]=h([].concat(a[i].classes),[a[i]])}s.prependChildren(a[i],u);u=null}}if(u){Array.prototype.push.apply(a,u)}for(i=0;i<a.length;i++){if(p(a[i])&&(m(a[i-1],r)||f(a[i+1],r))){a[i].classes[0]="mord"}}return a};var d=function(e){if(e instanceof l.documentFragment){if(e.children.length){return d(e.children[e.children.length-1])}}else{if(u.contains(["mord","mop","mbin","mrel","mopen","mclose","mpunct","minner"],e.classes[0])){return e.classes[0]}}return null};var g=function(e,t){if(!e){return false}else if(e.type==="op"){return e.value.limits&&(t.style.size===i.DISPLAY.size||e.value.alwaysHandleSupSub)}else if(e.type==="accent"){return b(e.value.base)}else{return null}};var y=function(e){if(!e){return false}else if(e.type==="ordgroup"){if(e.value.length===1){return y(e.value[0])}else{return e}}else if(e.type==="color"){if(e.value.value.length===1){return y(e.value.value[0])}else{return e}}else if(e.type==="font"){return y(e.value.body)}else{return e}};var b=function(e){var t=y(e);return t.type==="mathord"||t.type==="textord"||t.type==="bin"||t.type==="rel"||t.type==="inner"||t.type==="open"||t.type==="close"||t.type==="punct"};var w=function(e,t){return h(t.concat(["sizing","reset-"+e.size,"size5",e.style.reset(),i.TEXT.cls(),"nulldelimiter"]))};var x={};x.mathord=function(e,t){return s.makeOrd(e,t,"mathord")};x.textord=function(e,t){return s.makeOrd(e,t,"textord")};x.bin=function(e,t){return s.mathsym(e.value,e.mode,t,["mbin"])};x.rel=function(e,t){return s.mathsym(e.value,e.mode,t,["mrel"])};x.open=function(e,t){return s.mathsym(e.value,e.mode,t,["mopen"])};x.close=function(e,t){return s.mathsym(e.value,e.mode,t,["mclose"])};x.inner=function(e,t){return s.mathsym(e.value,e.mode,t,["minner"])};x.punct=function(e,t){return s.mathsym(e.value,e.mode,t,["mpunct"])};x.ordgroup=function(e,t){return h(["mord",t.style.cls()],v(e.value,t.reset(),true),t)};x.text=function(e,t){var r=t.withFont(e.value.style);var a=v(e.value.body,r,true);for(var i=0;i<a.length-1;i++){if(a[i].tryCombine(a[i+1])){a.splice(i+1,1);i--}}return h(["mord","text",r.style.cls()],a,r)};x.color=function(e,t){var r=v(e.value.value,t.withColor(e.value.color),false);return new s.makeFragment(r)};x.supsub=function(e,t){if(g(e.value.base,t)){return x[e.value.base.type](e,t)}var r=z(e.value.base,t.reset());var a;var n;var u;var c;var p=t.style;var m;if(e.value.sup){m=t.withStyle(p.sup());u=z(e.value.sup,m);a=h([p.reset(),p.sup().cls()],[u],m)}if(e.value.sub){m=t.withStyle(p.sub());c=z(e.value.sub,m);n=h([p.reset(),p.sub().cls()],[c],m)}var f;var v;if(b(e.value.base)){f=0;v=0}else{f=r.height-p.metrics.supDrop;v=r.depth+p.metrics.subDrop}var y;if(p===i.DISPLAY){y=p.metrics.sup1}else if(p.cramped){y=p.metrics.sup3}else{y=p.metrics.sup2}var w=i.TEXT.sizeMultiplier*p.sizeMultiplier;var k=.5/o.metrics.ptPerEm/w+"em";var S;if(!e.value.sup){v=Math.max(v,p.metrics.sub1,c.height-.8*p.metrics.xHeight);S=s.makeVList([{type:"elem",elem:n}],"shift",v,t);S.children[0].style.marginRight=k;if(r instanceof l.symbolNode){S.children[0].style.marginLeft=-r.italic+"em"}}else if(!e.value.sub){f=Math.max(f,y,u.depth+.25*p.metrics.xHeight);S=s.makeVList([{type:"elem",elem:a}],"shift",-f,t);S.children[0].style.marginRight=k}else{f=Math.max(f,y,u.depth+.25*p.metrics.xHeight);v=Math.max(v,p.metrics.sub2);var 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s.TextNode(e.value.body.slice(1))])}return r};m.mod=function(e,t){var r=[];if(e.value.modType==="pod"||e.value.modType==="pmod"){r.push(new s.MathNode("mo",[c("(",e.mode)]))}if(e.value.modType!=="pod"){r.push(new s.MathNode("mo",[c("mod",e.mode)]))}if(e.value.value){var a=new s.MathNode("mspace");a.setAttribute("width","0.333333em");r.push(a);r=r.concat(f(e.value.value,t))}if(e.value.modType==="pod"||e.value.modType==="pmod"){r.push(new s.MathNode("mo",[c(")",e.mode)]))}return new s.MathNode("mo",r)};m.katex=function(e){var t=new s.MathNode("mtext",[new s.TextNode("KaTeX")]);return t};m.font=function(e,t){var r=e.value.font;return v(e.value.body,t.withFont(r))};m.delimsizing=function(e){var t=[];if(e.value.value!=="."){t.push(c(e.value.value,e.mode))}var r=new s.MathNode("mo",t);if(e.value.mclass==="mopen"||e.value.mclass==="mclose"){r.setAttribute("fence","true")}else{r.setAttribute("fence","false")}return r};m.styling=function(e,t){var r=f(e.value.value,t);var a=new s.MathNode("mstyle",r);var i={display:["0","true"],text:["0","false"],script:["1","false"],scriptscript:["2","false"]};var n=i[e.value.style];a.setAttribute("scriptlevel",n[0]);a.setAttribute("displaystyle",n[1]);return a};m.sizing=function(e,t){var r=f(e.value.value,t);var i=new s.MathNode("mstyle",r);i.setAttribute("mathsize",a.sizingMultiplier[e.value.size]+"em");return i};m.overline=function(e,t){var r=new s.MathNode("mo",[new s.TextNode("\u203e")]);r.setAttribute("stretchy","true");var a=new s.MathNode("mover",[v(e.value.body,t),r]);a.setAttribute("accent","true");return a};m.underline=function(e,t){var r=new s.MathNode("mo",[new s.TextNode("\u203e")]);r.setAttribute("stretchy","true");var a=new s.MathNode("munder",[v(e.value.body,t),r]);a.setAttribute("accentunder","true");return a};m.rule=function(e){var t=new s.MathNode("mrow");return t};m.kern=function(e){var t=new s.MathNode("mrow");return t};m.llap=function(e,t){var r=new s.MathNode("mpadded",[v(e.value.body,t)]);r.setAttribute("lspace","-1width");r.setAttribute("width","0px");return r};m.rlap=function(e,t){var r=new s.MathNode("mpadded",[v(e.value.body,t)]);r.setAttribute("width","0px");return r};m.phantom=function(e,t){var r=f(e.value.value,t);return new s.MathNode("mphantom",r)};m.mclass=function(e,t){var r=f(e.value.value,t);return new s.MathNode("mstyle",r)};var f=function(e,t){var r=[];for(var a=0;a<e.length;a++){var i=e[a];r.push(v(i,t))}return r};var v=function(e,t){if(!e){return new s.MathNode("mrow")}if(m[e.type]){return m[e.type](e,t)}else{throw new n("Got group of unknown type: '"+e.type+"'")}};var d=function(e,t,r){var a=f(e,r);var i=new s.MathNode("mrow",a);var n=new s.MathNode("annotation",[new s.TextNode(t)]);n.setAttribute("encoding","application/x-tex");var l=new s.MathNode("semantics",[i,n]);var o=new s.MathNode("math",[l]);return u(["katex-mathml"],[o])};t.exports=d},{"./ParseError":6,"./buildCommon":10,"./fontMetrics":18,"./mathMLTree":21,"./symbols":24,"./utils":26}],13:[function(e,t,r){var a=e("./buildHTML");var i=e("./buildMathML");var s=e("./buildCommon");var n=e("./Settings");var l=s.makeSpan;var o=function(e,t,r){r=r||new n({});var s=r.initialOptions();var o=i(e,t,s);var u=a(e,s);var h=l(["katex"],[o,u]);if(r.displayMode){return l(["katex-display"],[h])}else{return h}};t.exports=o},{"./Settings":8,"./buildCommon":10,"./buildHTML":11,"./buildMathML":12}],14:[function(e,t,r){"use strict";var a={left:0,center:.5,right:1};var i=[null,.5,.7,.8,.9,1,1.2,1.44,1.73,2.07,2.49];var s={i4:"italic ",n4:"",n7:"bold "};function n(e){for(var t in e){if(e.hasOwnProperty(t)){this[t]=e[t]}}}n.prototype.sizeChanged=function(){this.em=this.baseSize*i[this.sizeIndex]*this.styleFactor;this.fontChanged()};n.prototype.fontChanged=function(){this.font=this.variant+this.weight+this.em+"px "+this.family};n.prototype.withStyle=function(e){var t=new n(this);t.styleFactor=e;t.sizeChanged();return t};n.prototype.withSize=function(e){var t=new n(this);t.sizeIndex=e;t.sizeChanged();return t};n.prototype.withFace=function(e,t){var r=new n(this);r.variant=s[t];r.family=e;r.fvd=e+":"+t;r.fontChanged();return r};n.prototype.withYShift=function(e){var t=new n(this);t.ypos+=e*t.em;return t};n.prototype.withHAlign=function(e){var t=new n(this);t.halign=e;return t};n.prototype.withColor=function(e){var t=new n(this);t.color=e;return t};function l(e,t){this.ctxt=e;this.fontSize=16;this.left=Infinity;this.top=Infinity;this.right=-Infinity;this.bottom=-Infinity;this.x=0;this.outList=[];this.fontsUsed={};this.horizontalLines=[];this.prevClass="";this.baseSize=t.fontSize||16*1.21;this.state=new n({baseSize:this.baseSize,sizeIndex:5,styleFactor:1,variant:"",weight:"",family:"KaTeX_Main",fvd:"KaTeX_Main:n4",color:null,ypos:0,halign:t.halign||a.left});this.state.sizeChanged()}var o=.16667;var u=.22222;var h=.27778;var c={mord_mop:o,mord_mbin:u,mord_mrel:h,mord_minner:o,mop_mord:o,mop_mop:o,mop_mrel:h,mop_minner:o,mbin_mord:u,mbin_mop:u,mbin_mopen:u,mbin_minner:u,mrel_mord:h,mrel_mop:h,mrel_mopen:h,mrel_minner:h,mclose_mop:o,mclose_mbin:u,mclose_mrel:h,mclose_minner:o,mpunct_mord:o,mpunct_mop:o,mpunct_mrel:o,mpunct_mopen:o,mpunct_mclose:o,mpunct_mpunct:o,mpunct_minner:o,minner_mord:o,minner_mop:o,minner_mbin:u,minner_mrel:h,minner_mopen:o,minner_mpunct:o,minner_minner:o};var p={mord_mop:o,mop_mord:o,mop_mop:o,mclose_mop:o,minner_mop:o};l.prototype.prepare=function(e){var t=this.state;var r=!e.classes?"":e.classes.filter(function(e){return e!==null}).join(" ");if(r===""){r=[]}else{r=r.split(" ")}var i;var s;var n;var l=null;function m(){if(l===null){var e=n-1;while(e-->0){var t=r[e];if(!t){continue}if(t.substr(4)==="size"){l=+t.substr(4);break}}}return l}var f=false;var v="";var d=null;var g=0;var y=null;var b=null;n=r.length;while(n--){var w=r[n];switch(w){case"delimsizing":if(m()!==null){this.state=this.state.withFace("KaTeX_Size"+l,"n4")}break;case"delim-size1":case"small-op":this.state=this.state.withFace("KaTeX_Size1","n4");break;case"large-op":this.state=this.state.withFace("KaTeX_Size2","n4");break;case"delim-size4":this.state=this.state.withFace("KaTeX_Size4","n4");break;case"fontsize-ensurer":case"sizing":if(m()!==null){this.state=this.state.withSize(l)}break;case"frac-line":case"sqrt-line":case"overline-line":this.horizontalLines.push({y:this.state.ypos,height:Math.max(1,.04*this.state.em),color:this.state.color});break;case"mfrac":case"accent":case"op-limits":case"col-align-c":this.state=this.state.withHAlign(a.center);break;case"root":d=5/18;g=-10/18;break;case"accent-vec":d+=.326;break;case"accent-body":y=this.x;break;case"mathit":this.state=this.state.withFace("KaTeX_Math","i4");break;case"mathbf":this.state=this.state.withFace("KaTeX_Main","n7");break;case"amsrm":this.state=this.state.withFace("KaTeX_AMS","n4");break;case"mathbb":this.state=this.state.withFace("KaTeX_AMS","n4");break;case"mathcal":this.state=this.state.withFace("KaTeX_Caligraphic","n4");break;case"mathfrak":this.state=this.state.withFace("KaTeX_Fraktur","n4");break;case"mathtt":this.state=this.state.withFace("KaTeX_Typewriter","n4");break;case"mathscr":this.state=this.state.withFace("KaTeX_Script","n4");break;case"mathsf":this.state=this.state.withFace("KaTeX_SansSerif","n4");break;case"mainit":this.state=this.state.withFace("KaTeX_Main","i4");break;case"mathrm":break;case"mord":case"mop":case"mbin":case"mrel":case"mopen":case"mclose":case"minner":case"mpunct":v=w;break;case"msupsub":case"col-align-l":this.state=this.state.withHAlign(a.left);break;case"col-align-r":this.state=this.state.withHAlign(a.right);break;case"scriptscriptstyle":this.state=this.state.withStyle(.5);break;case"scriptstyle":this.state=this.state.withStyle(.7);break;case"textstyle":this.state=this.state.withStyle(1);break;case"size1":case"size2":case"size3":case"size4":case"size5":case"size6":case"size7":case"size8":case"size9":case"size10":l=+w.substr(4);break;case"negativethinspace":g+=-o;break;case"thinspace":g+=o;break;case"mediumspace":g+=u;break;case"thickspace":g+=h;break;case"enspace":g+=.5;break;case"quad":g+=1;break;case"qquad":g+=2;break;case"k":break;case"a":this.state=this.state.withStyle(.75).withYShift(-.2);d=-.32;break;case"t":d=-.23;break;case"e":this.state=this.state.withYShift(.2155);d=-.1667;break;case"x":d=-.125;break;case"vlist":f=true;break;case"llap":case"rlap":b=w;break;case"arraycolsep":case"base":case"baseline-fix":case"bottom":case"cramped":case"delimsizinginner":case"displaystyle":case"katex-logo":case"katex-html":case"mspace":case"mtable":case"mult":case"op-symbol":case"overline":case"reset-scriptscriptstyle":case"reset-scriptstyle":case"reset-size1":case"reset-size2":case"reset-size3":case"reset-size4":case"reset-size5":case"reset-size6":case"reset-size7":case"reset-size8":case"reset-size9":case"reset-size10":case"reset-textstyle":case"sqrt":case"sqrt-sign":case"strut":case"style-wrap":case"text":case"uncramped":break;default:}}for(i in e.style){if(e.style.hasOwnProperty(i)){s=e.style[i];switch(i){case"top":if(s.substr(s.length-2)!=="em"){throw new Error("em is the only supported unit.")}s=+s.substr(0,s.length-2);this.state=this.state.withYShift(s);break;case"fontSize":if(s==="0em"){return}break;case"marginLeft":if(s.substr(s.length-2)!=="em"){throw new Error("em is the only supported unit.")}d=+s.substr(0,s.length-2);break;case"marginRight":case"width":if(s.substr(s.length-2)!=="em"){throw new Error("em is the only supported unit.")}g=+s.substr(0,s.length-2);break;case"color":this.state=this.state.withColor(s);break;case"height":case"verticalAlign":break;default:}}}for(i in e.attributes){if(e.attributes.hasOwnProperty(i)){s=e.attributes[i];switch(i){case"aria-hidden":break;default:}}}var x=this.prevClass+"_"+v;if(d===null){d=p[x];if(d===undefined&&this.state.styleFactor===1){d=c[x]}}if(d){this.x+=d*this.state.em}if(f){this.halign(e.children,this.state.halign)}else if(b){this.lap(b,e.children)}else if(e.children){e.children.forEach(this.prepare.bind(this))}else{this.ctxt.font=this.state.font;var k=e.value;var z=this.ctxt.measureText(k);var S=z.width;if(e.italic){g+=e.italic}if(k!==""&&k!=="\u200b"){var M={x:this.x,y:this.state.ypos,font:this.state.font,color:this.state.color,text:k};this.outList.push(M);this.fontsUsed[this.state.fvd]=this.state.font}this.x+=S}this.x+=g*this.state.em;if(y!==null){this.x=y}this.state=t;this.prevClass=v};l.prototype.halign=function(e,t){var r;var a;var i=this.horizontalLines;this.horizontalLines=[];var s=this.outList;var n=this.x;var l=s.length;var o=0;for(r=0;r<e.length;++r){var u=s.length;this.x=0;this.prepare(e[r]);var h=this.x;if(o<h){o=h}a=t*h;while(u<s.length){s[u++].x-=a}}a=t*o+n;while(l<s.length){s[l++].x+=a}for(r=0;r<this.horizontalLines.length;++r){var c=this.horizontalLines[r];c.x=n;c.width=o;s.push(c)}this.x=n+o;this.horizontalLines=i};l.prototype.lap=function(e,t){var r=t[0];var a=this.x;var i=this.outList;var s=i.length;this.prepare(r);var n=this.x-a;this.x=a;if(e==="llap"){while(s<i.length){i[s++].x-=n}}};function m(e,t){var r=e.getContext?e.getContext("2d"):e;var a=r.font;var i=r.fillStyle;try{var s=t(r);r.font=a;r.fillStyle=i;return s}catch(n){r.font=a;r.fillStyle=i;throw n}}function f(e,t,r,a){this.fontsUsed=r;this.renderAt=function(r,i){r-=a;m(e,function(e){var a=e.fillStyle;for(var s=0;s<t.length;++s){var n=t[s];e.fillStyle=n.color===null?a:n.color;if(n.text){e.font=n.font;e.fillText(n.text,n.x+r,n.y+i)}else if(n.width||n.height){e.fillRect(n.x+r,n.y+i-n.height,n.width,n.height)}}})}}function v(e,t,r){return m(t,function(t){var i=r.halign||a.left;var s=new l(t,r);s.prepare(e);var n=s.state.em;var o=s.x*i;var u=new f(t,s.outList,s.fontsUsed,o);u.width=s.x;u.depth=e.depth*n;u.height=e.height*n;return u})}function d(e,t,r,a,i){v(e,t,i).renderAt(r,a)}t.exports={prepare:v,render:d}},{}],15:[function(e,t,r){var a=e("./ParseError");var i=e("./Style");var s=e("./buildCommon");var n=e("./fontMetrics");var l=e("./symbols");var o=e("./utils");var u=s.makeSpan;var h=function(e,t){if(l.math[e]&&l.math[e].replace){return n.getCharacterMetrics(l.math[e].replace,t)}else{return n.getCharacterMetrics(e,t)}};var c=function(e,t,r,a){return s.makeSymbol(e,"Size"+t+"-Regular",r,a)};var p=function(e,t,r,a){a=a||[];var i=u(a.concat(["style-wrap",r.style.reset(),t.cls()]),[e],r);var s=t.sizeMultiplier/r.style.sizeMultiplier;i.height*=s;i.depth*=s;i.maxFontSize=t.sizeMultiplier;return i};var m=function(e,t,r,a,i,n){var l=s.makeSymbol(e,"Main-Regular",i,a);var o=p(l,t,a,n);if(r){var u=(1-a.style.sizeMultiplier/t.sizeMultiplier)*a.style.metrics.axisHeight;o.style.top=u+"em";o.height-=u;o.depth+=u}return o};var f=function(e,t,r,a,s,n){var l=c(e,t,s,a);var o=p(u(["delimsizing","size"+t],[l],a),i.TEXT,a,n);if(r){var h=(1-a.style.sizeMultiplier)*a.style.metrics.axisHeight;o.style.top=h+"em";o.height-=h;o.depth+=h}return o};var v=function(e,t,r){var a;if(t==="Size1-Regular"){a="delim-size1"}else if(t==="Size4-Regular"){a="delim-size4"}var i=u(["delimsizinginner",a],[u([],[s.makeSymbol(e,t,r)])]);return{type:"elem",elem:i}};var d=function(e,t,r,a,n,l){var o;var c;var m;var f;o=m=f=e;c=null;var d="Size1-Regular";if(e==="\\uparrow"){m=f="\u23d0"}else if(e==="\\Uparrow"){m=f="\u2016"}else if(e==="\\downarrow"){o=m="\u23d0"}else if(e==="\\Downarrow"){o=m="\u2016"}else if(e==="\\updownarrow"){o="\\uparrow";m="\u23d0";f="\\downarrow"}else if(e==="\\Updownarrow"){o="\\Uparrow";m="\u2016";f="\\Downarrow"}else if(e==="["||e==="\\lbrack"){o="\u23a1";m="\u23a2";f="\u23a3";d="Size4-Regular"}else if(e==="]"||e==="\\rbrack"){o="\u23a4";m="\u23a5";f="\u23a6";d="Size4-Regular"}else if(e==="\\lfloor"){m=o="\u23a2";f="\u23a3";d="Size4-Regular"}else if(e==="\\lceil"){o="\u23a1";m=f="\u23a2";d="Size4-Regular"}else if(e==="\\rfloor"){m=o="\u23a5";f="\u23a6";d="Size4-Regular"}else if(e==="\\rceil"){o="\u23a4";m=f="\u23a5";d="Size4-Regular"}else if(e==="("){o="\u239b";m="\u239c";f="\u239d";d="Size4-Regular"}else if(e===")"){o="\u239e";m="\u239f";f="\u23a0";d="Size4-Regular"}else if(e==="\\{"||e==="\\lbrace"){o="\u23a7";c="\u23a8";f="\u23a9";m="\u23aa";d="Size4-Regular"}else if(e==="\\}"||e==="\\rbrace"){o="\u23ab";c="\u23ac";f="\u23ad";m="\u23aa";d="Size4-Regular"}else if(e==="\\lgroup"){o="\u23a7";f="\u23a9";m="\u23aa";d="Size4-Regular"}else if(e==="\\rgroup"){o="\u23ab";f="\u23ad";m="\u23aa";d="Size4-Regular"}else if(e==="\\lmoustache"){o="\u23a7";f="\u23ad";m="\u23aa";d="Size4-Regular"}else if(e==="\\rmoustache"){o="\u23ab";f="\u23a9";m="\u23aa";d="Size4-Regular"}else if(e==="\\surd"){o="\ue001";f="\u23b7";m="\ue000";d="Size4-Regular"}var g=h(o,d);var y=g.height+g.depth;var b=h(m,d);var w=b.height+b.depth;var x=h(f,d);var k=x.height+x.depth;var z=0;var S=1;if(c!==null){var M=h(c,d);z=M.height+M.depth;S=2}var T=y+k+z;var A=Math.ceil((t-T)/(S*w));var N=T+A*S*w;var 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a/Master/texmf-dist/doc/support/ketcindy/ketcindyjs/ketcindylib.txt +++ /dev/null @@ -1,6419 +0,0 @@ -// 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/ketcindyjs/makefunlist.cdy b/Master/texmf-dist/doc/support/ketcindy/ketcindyjs/makefunlist.cdy Binary files differnew file mode 100644 index 00000000000..87eb72d583d --- /dev/null +++ b/Master/texmf-dist/doc/support/ketcindy/ketcindyjs/makefunlist.cdy diff --git a/Master/texmf-dist/doc/support/ketcindy/ketcindyjs/webfont.js b/Master/texmf-dist/doc/support/ketcindy/ketcindyjs/webfont.js new file mode 100644 index 00000000000..e1e978523c6 --- /dev/null +++ b/Master/texmf-dist/doc/support/ketcindy/ketcindyjs/webfont.js @@ -0,0 +1,45 @@ +/* + * Copyright 2015 Small Batch, Inc. + * + * Licensed under the Apache License, Version 2.0 (the "License"); you may not + * use this file except in compliance with the License. You may obtain a copy of + * the License at + * + * http://www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an "AS IS" BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. See the + * License for the specific language governing permissions and limitations under + * the License. + */ +/* Web Font Loader v1.5.18 - (c) Adobe Systems, Google. 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b/Master/texmf-dist/doc/support/ketcindy/ketmanual/KeTCindyReferenceJ.pdf Binary files differindex 1f1b277950e..86bc90ad3ac 100644 --- a/Master/texmf-dist/doc/support/ketcindy/ketmanual/KeTCindyReferenceJ.pdf +++ b/Master/texmf-dist/doc/support/ketcindy/ketmanual/KeTCindyReferenceJ.pdf diff --git a/Master/texmf-dist/doc/support/ketcindy/samples/s05spacefigure/DLofPolyhedrons_objE.txt b/Master/texmf-dist/doc/support/ketcindy/samples/s05spacefigure/DLofPolyhedrons_objE.txt new file mode 100644 index 00000000000..45e4e21f255 --- /dev/null +++ b/Master/texmf-dist/doc/support/ketcindy/samples/s05spacefigure/DLofPolyhedrons_objE.txt @@ -0,0 +1,9 @@ +1) Data folder of polyhedra "polyhedrons_obj" is downloadable from the next website: + http://mitani.cs.tsukuba.ac.jp/polyhedron/ + +2) Store the folder into someplace, for example, "ketcindy" in the user home. + +3) Open a cindy file and write scripts like the followings in the editor. + Setdirectory(Dirhead+"polyhedrons_obj"); // Dirhead is "ketcindy" in the user home. + poly=Readobj("r02.obj",["size=-3.5"]); + Setdirectory(Dirwork); diff --git a/Master/texmf-dist/doc/support/ketcindy/samples/s05spacefigure/DLofPolyhedrons_objJ.txt b/Master/texmf-dist/doc/support/ketcindy/samples/s05spacefigure/DLofPolyhedrons_objJ.txt new file mode 100644 index 00000000000..7ae77d1046f --- /dev/null +++ b/Master/texmf-dist/doc/support/ketcindy/samples/s05spacefigure/DLofPolyhedrons_objJ.txt @@ -0,0 +1,10 @@ +１）整é¢å‡¸å¤šé¢ä½“ã®ãƒ‡ãƒ¼ã‚¿ãƒ•ã‚©ãƒ«ãƒ€ã€Œpolyhedrons_objã€ã¯ä»¥ä¸‹ã®ã‚µã‚¤ãƒˆã‹ã‚‰ãƒ€ã‚¦ãƒ³ãƒãƒ¼ãƒ‰ã§ãã¾ã™ï¼Ž + http://mitani.cs.tsukuba.ac.jp/polyhedron/ + +２）ダウンãƒãƒ¼ãƒ‰ã—ãŸãƒ•ã‚©ãƒ«ãƒ€ã‚’é©å½“ãªå ´æ‰€ï¼Œä¾‹ãˆã°ãƒ¦ãƒ¼ã‚¶ãƒ•ã‚©ãƒ¼ãƒ ã®ketcindyã«ä¿å˜ã—ã¦ä¸‹ã•ã„． + +３）Cindyファイルを開ã，次ã®ã‚ˆã†ãªã‚¹ã‚¯ãƒªãƒ—トを書ã„ã¦èªã¿è¾¼ã‚“ã§ä¸‹ã•ã„． + + Setdirectory(Dirhead+"polyhedrons_obj"); // Dirheadã¯ãƒ¦ãƒ¼ã‚¶ãƒ•ã‚©ãƒ¼ãƒ ã®ketcindy + poly=Readobj("r02.obj",["size=-3.5"]); + Setdirectory(Dirwork); diff --git 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src="file:////Applications/KeTTeX.app/texlive/texmf-dist/scripts/ketcindy/ketcindyjs/Cindy.js"></script> - <script type="text/javascript" src="https://cindyjs.org/dist/v0.8/KetCindyPlugin.js"></script> -<script id="csdraw" type="text/x-cindyscript"> -Ketinit(); - -//Deqplot("1","y`=y","x",0,1); -Deqplot("2","y``=-L.x*y`-G.x*y","t=[0,XMAX]",0,[C.y,0],["Num=200"]); -//Deqplot("3","[x,y]`=[x*(1-y),0.3*y*(x-1)]","t=[0,20]",0,A,["Num=200"]); - -Expr([M,"e","\displaystyle\frac{d^2 x}{dt^2}+"+L.x+"\frac{dx}{dt}+"+G.x+"x=0"]); - -Windispg(); - -//Help("De"); - -; -</script> -<script id="cskeytyped" type="text/x-cindyscript"> -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) Slide(S) Digest(D)"; - ); - if(NumTyped==2, - DispStr="Shift+ Meshlab(M)"; - ); - 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()=="S",//Slide - Mkslides(); -); -if(key()=="D",//Digest(Summary) - Mkslidesummary(); -); -if(key()=="M",//Meshlab - Mkviewobj(OCNAME,OBJCMD,OCOPTION); -); - -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(); -); -; -</script> -<script id="csinit" type="text/x-cindyscript"> -// 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); -); -</script> - <script type="text/javascript"> -var cdy = CindyJS({ - scripts: "cs*", - defaultAppearance: { - dimDependent: 0.7, - fontFamily: "sans-serif", - lineSize: 1, - pointSize: 5.0, - textsize: 12.0 - }, - angleUnit: "°", - geometry: [ - {name: "SW", type: "Free", pos: [-2.5744680851063833, -4.0, 0.8525536333742482], color: [1.0, 0.0, 0.0], labeled: true}, - {name: "NE", type: "Free", pos: [4.0, 2.4285714285714284, 0.44032989855593035], color: [1.0, 0.0, 0.0], labeled: true}, - {name: "A", type: "Free", pos: [0.0, -4.0, -0.8], color: [1.0, 0.0, 0.0], labeled: true}, - {name: "B", type: "Free", pos: [-0.02366863905325444, -4.0, 0.9484028584281579], color: [1.0, 0.0, 0.0], labeled: true}, - {name: "a", type: "Segment", color: [0.0, 0.0, 1.0], args: ["A", "B"], labeled: true}, - {name: "C", type: "PointOnSegment", pos: [0.011092747971205843, -4.0, -1.619421523013707], color: [1.0, 0.0, 0.0], args: ["a"], labeled: true}, - {name: "E", type: "Free", pos: [0.0, -4.0, 0.6666666666666666], color: [1.0, 0.0, 0.0], labeled: true}, - {name: "F", type: "Free", pos: [4.0, -2.1818181818181817, 0.36363636363636365], color: [1.0, 0.0, 0.0], labeled: true}, - {name: "b", type: "Segment", color: [0.0, 0.0, 1.0], args: ["E", "F"], labeled: true}, - {name: "G", type: "PointOnSegment", pos: [3.5770716007636896, -4.0, 0.6666666666666666], color: [1.0, 0.0, 0.0], args: ["b"], labeled: true}, - {name: "H", type: "Free", pos: [0.0, -4.0, 0.5714285714285714], color: [1.0, 0.0, 0.0], labeled: true}, - {name: "K", type: "Free", pos: [4.0, -2.5454545454545454, 0.36363636363636365], color: [1.0, 0.0, 0.0], labeled: true}, - {name: "c", type: "Segment", color: [0.0, 0.0, 1.0], args: ["H", "K"], labeled: true}, - {name: "L", type: "PointOnSegment", pos: [0.5714285657142855, -4.0, 0.5714285714285713], color: [1.0, 0.0, 0.0], args: ["c"], labeled: true}, - {name: "M", type: "Free", pos: [-2.0, -4.0, -1.0], color: [1.0, 0.0, 0.0], size: 2.0}, - ], - ports: [{ - id: "CSCanvas", - width: 1024, - height: 545, - transform: [{visibleRect: [-9.745440419289913, 6.700770173058494, 15.809824598259054, -6.900420681008095]}], - axes: true, - grid: 1.0, - snap: true, - background: "rgb(168,176,192)" - }], - csconsole: false, - cinderella: {build: 1901, version: [2, 9, 1901]} -}); - </script> -</head> -<body> - <div id="CSCanvas"></div> -</body> -</html> diff --git a/Master/texmf-dist/doc/support/ketcindy/samples/s16ketcindyJS/s1602diffeq2ketcindyon.html b/Master/texmf-dist/doc/support/ketcindy/samples/s16ketcindyJS/s1602diffeq2ketcindyon.html deleted file mode 100644 index cf5b564e040..00000000000 --- a/Master/texmf-dist/doc/support/ketcindy/samples/s16ketcindyJS/s1602diffeq2ketcindyon.html +++ /dev/null @@ -1,6640 +0,0 @@ -<!DOCTYPE html> -<html> -<head> - <meta charset="UTF-8"> - - <title>s1602diffeq2.cdy</title> - <style type="text/css"> - * { - margin: 0px; - padding: 0px; - } - - #CSConsole { - background-color: #FAFAFA; - border-top: 1px solid #333333; - bottom: 0px; - height: 200px; - overflow-y: scroll; - position: fixed; - width: 100%; - } - </style> - <link rel="stylesheet" href="https://cindyjs.org/dist/v0.8/CindyJS.css"> - <script type="text/javascript" src="https://cindyjs.org/dist/v0.8/Cindy.js"></script> - <script type="text/javascript" src="https://cindyjs.org/dist/v0.8/KetCindyPlugin.js"></script> -<script id="csdraw" type="text/x-cindyscript"> -Ketinit(); - -//Deqplot("1","y`=y","x",0,1); -Deqplot("2","y``=-L.x*y`-G.x*y","t=[0,XMAX]",0,[C.y,0],["Num=200"]); -//Deqplot("3","[x,y]`=[x*(1-y),0.3*y*(x-1)]","t=[0,20]",0,A,["Num=200"]); - -Expr([M,"e","\displaystyle\frac{d^2 x}{dt^2}+"+L.x+"\frac{dx}{dt}+"+G.x+"x=0"]); - -Windispg(); - -//Help("De"); - -; -</script> -<script id="cskeytyped" type="text/x-cindyscript"> -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) Slide(S) Digest(D)"; - ); - if(NumTyped==2, - DispStr="Shift+ Meshlab(M)"; - ); - 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()=="S",//Slide - Mkslides(); -); -if(key()=="D",//Digest(Summary) - Mkslidesummary(); -); -if(key()=="M",//Meshlab - Mkviewobj(OCNAME,OBJCMD,OCOPTION); -); - -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(); -); -; -</script> -<script id="csinit" type="text/x-cindyscript"> -// 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); -); -</script> - <script type="text/javascript"> -var cdy = CindyJS({ - scripts: "cs*", - use: ["katex"], - defaultAppearance: { - dimDependent: 0.7, - fontFamily: "sans-serif", - lineSize: 1, - pointSize: 5.0, - textsize: 12.0 - }, - angleUnit: "°", - geometry: [ - {name: "SW", type: "Free", pos: [-2.5744680851063833, -4.0, 0.8525536333742482], color: [1.0, 0.0, 0.0], labeled: true}, - {name: "NE", type: "Free", pos: [4.0, 2.4285714285714284, 0.44032989855593035], color: [1.0, 0.0, 0.0], labeled: true}, - {name: "A", type: "Free", pos: [0.0, -4.0, -0.8], color: [1.0, 0.0, 0.0], labeled: true}, - {name: "B", type: "Free", pos: [-0.02366863905325444, -4.0, 0.9484028584281579], color: [1.0, 0.0, 0.0], labeled: true}, - {name: "a", type: "Segment", color: [0.0, 0.0, 1.0], args: ["A", "B"], labeled: true}, - {name: "C", type: "PointOnSegment", pos: [0.011092747971205843, -4.0, -1.619421523013707], color: [1.0, 0.0, 0.0], args: ["a"], labeled: true}, - {name: "E", type: "Free", pos: [0.0, -4.0, 0.6666666666666666], color: [1.0, 0.0, 0.0], labeled: true}, - {name: "F", type: "Free", pos: [4.0, -2.1818181818181817, 0.36363636363636365], color: [1.0, 0.0, 0.0], labeled: true}, - {name: "b", type: "Segment", color: [0.0, 0.0, 1.0], args: ["E", "F"], labeled: true}, - {name: "G", type: "PointOnSegment", pos: [3.5770716007636896, -4.0, 0.6666666666666666], color: [1.0, 0.0, 0.0], args: ["b"], labeled: true}, - {name: "H", type: "Free", pos: [0.0, -4.0, 0.5714285714285714], color: [1.0, 0.0, 0.0], labeled: true}, - {name: "K", type: "Free", pos: [4.0, -2.5454545454545454, 0.36363636363636365], color: [1.0, 0.0, 0.0], labeled: true}, - {name: "c", type: "Segment", color: [0.0, 0.0, 1.0], args: ["H", "K"], labeled: true}, - {name: "L", type: "PointOnSegment", pos: [0.5714285657142855, -4.0, 0.5714285714285713], color: [1.0, 0.0, 0.0], args: ["c"], labeled: true}, - {name: "M", type: "Free", pos: [-2.0, -4.0, -1.0], color: [1.0, 0.0, 0.0], size: 2.0}, - ], - ports: [{ - id: "CSCanvas", - width: 1024, - height: 545, - transform: [{visibleRect: [-9.745440419289913, 6.700770173058494, 15.809824598259054, -6.900420681008095]}], - axes: true, - grid: 1.0, - snap: true, - background: "rgb(168,176,192)" - }], - csconsole: false, - cinderella: {build: 1901, version: [2, 9, 1901]} -}); - </script> -</head> -<body> - <div id="CSCanvas"></div> -</body> -</html> diff --git a/Master/texmf-dist/doc/support/ketcindy/samples/s16ketcindyJS/s1603gamow.cdy b/Master/texmf-dist/doc/support/ketcindy/samples/s16ketcindyJS/s1603gamow.cdy Binary files differindex 2c300fa3051..2915180a450 100644 --- a/Master/texmf-dist/doc/support/ketcindy/samples/s16ketcindyJS/s1603gamow.cdy +++ b/Master/texmf-dist/doc/support/ketcindy/samples/s16ketcindyJS/s1603gamow.cdy diff --git a/Master/texmf-dist/doc/support/ketcindy/samples/s17spacekc/ReadmeE.txt b/Master/texmf-dist/doc/support/ketcindy/samples/s17spacekc/ReadmeE.txt new file mode 100644 index 00000000000..22ef302445e --- /dev/null +++ b/Master/texmf-dist/doc/support/ketcindy/samples/s17spacekc/ReadmeE.txt @@ -0,0 +1,6 @@ +How to use Spacekc 20190101 Akira Iritani + +Spacekc is a plugin to KeTCindy for 3D rendering/drawing. + +See the following website for examples : + https://sites.google.com/site/ketcindy/home/cindy3d2 diff --git a/Master/texmf-dist/doc/support/ketcindy/samples/s17spacekc/ReadmeJ.txt b/Master/texmf-dist/doc/support/ketcindy/samples/s17spacekc/ReadmeJ.txt new file mode 100644 index 00000000000..3185f6e1f9a --- /dev/null +++ b/Master/texmf-dist/doc/support/ketcindy/samples/s17spacekc/ReadmeJ.txt @@ -0,0 +1,6 @@ +Spacekcã®ä½¿ã„方　　　　20190101 å…¥è°·æ˜ + +Spacekc ã¯ã€KeTCindyã®3Dモードをベースã«ï¼Œé¢ã®è‰²å¡—ã‚Šãªã©ï¼ŒKeTCindyã«ã¯ãªã„ã‚³ãƒžãƒ³ãƒ‰ã‚’è¿½åŠ ã—ãŸã‚‚ã®ã§ã™ã€‚ + +作æˆä¾‹ã¯ä»¥ä¸‹ã®ã‚µã‚¤ãƒˆã‚’見ã¦ä¸‹ã•ã„。 + https://sites.google.com/site/ketcindy/home/cindy3d2 diff --git a/Master/texmf-dist/doc/support/ketcindy/samples/s17spacekc/Spacekc.cdy b/Master/texmf-dist/doc/support/ketcindy/samples/s17spacekc/Spacekc.cdy Binary files differindex 51e78c8040b..4854986e5cc 100644 --- a/Master/texmf-dist/doc/support/ketcindy/samples/s17spacekc/Spacekc.cdy +++ b/Master/texmf-dist/doc/support/ketcindy/samples/s17spacekc/Spacekc.cdy diff --git a/Master/texmf-dist/doc/support/ketcindy/samples/s17spacekc/Spacekc.pdf b/Master/texmf-dist/doc/support/ketcindy/samples/s17spacekc/Spacekc.pdf Binary files differnew file mode 100644 index 00000000000..7631f266404 --- /dev/null +++ b/Master/texmf-dist/doc/support/ketcindy/samples/s17spacekc/Spacekc.pdf diff --git a/Master/texmf-dist/doc/support/ketcindy/samples/s17spacekc/SpacekcReference.pdf b/Master/texmf-dist/doc/support/ketcindy/samples/s17spacekc/SpacekcReference.pdf Binary files differnew file mode 100644 index 00000000000..9fd170aaea8 --- /dev/null +++ b/Master/texmf-dist/doc/support/ketcindy/samples/s17spacekc/SpacekcReference.pdf diff --git a/Master/texmf-dist/doc/support/ketcindy/source/howtoinstall/HowToInstallE.tex b/Master/texmf-dist/doc/support/ketcindy/source/howtoinstall/HowToInstallE.tex index 85a7d653ab2..9b74fd050df 100644 --- a/Master/texmf-dist/doc/support/ketcindy/source/howtoinstall/HowToInstallE.tex +++ b/Master/texmf-dist/doc/support/ketcindy/source/howtoinstall/HowToInstallE.tex @@ -57,15 +57,13 @@ installing of KeTCindy \item Install KeTCdindy \begin{enumerate}[(1)] \item Download ketcindy from CTAN(\url{https://ctan.org}).\\ - \hspace*{10mm}Search ketcindy > PackÂage ketcindy > download + \hspace*{10mm}Search ketcindy $>$ PackÂage ketcindy $>$ download \begin{itemize} - \item[Rem)]The latest version can be download from Repository:\\ - \hspace*{5mm}\url{https://github.com/ketÂpic/ketcindy}\\ - \hspace*{10mm}Clone or download > Download ZIP - \item[Rem)]Download ketcindy-master as follows\\ - \hspace*{10mm}Clone or download > Download ZIP + \item[Rem)]The latest version can be downloaded from Repository:\\ + \hspace*{5mm}\url{https://github.com/ketpic/ketcindy}\\ + \hspace*{10mm}Clone or download $>$ Download ZIP \end{itemize} - \item Install KeTCindy according to Readme in forMac/forWindow/forLinux. + \item Install KeTCindy according to Readme in forMac/forWindows/forLinux. \end{enumerate} \end{enumerate} diff --git a/Master/texmf-dist/doc/support/ketcindy/source/howtoinstall/HowToInstallJ.tex b/Master/texmf-dist/doc/support/ketcindy/source/howtoinstall/HowToInstallJ.tex index b077cd507cb..040eda3d567 100644 --- a/Master/texmf-dist/doc/support/ketcindy/source/howtoinstall/HowToInstallJ.tex +++ b/Master/texmf-dist/doc/support/ketcindy/source/howtoinstall/HowToInstallJ.tex @@ -53,15 +53,15 @@ KETCindyã®ã‚¤ãƒ³ã‚¹ãƒˆãƒ¼ãƒ« \item KeTCindyã®ã‚¤ãƒ³ã‚¹ãƒˆãƒ¼ãƒ« \begin{enumerate}[(1)] \item ketcindyã‚’CTAN(\url{https://ctan.org})ã‹ã‚‰ãƒ€ã‚¦ãƒ³ãƒãƒ¼ãƒ‰ã™ã‚‹ï¼Ž\\ - \hspace*{10mm}ketcindyã§æ¤œç´¢ > PackÂage ketcindy > download + \hspace*{10mm}ketcindyã§æ¤œç´¢ $>$ Package ketcindy $>$ download \begin{itemize} \item[注)]最新版ã¯ï¼ŒRepositoryã®ã‚µã‚¤ãƒˆ\\ - \hspace*{10mm}\url{https://github.com/ketÂpic/ketcindy}\\ + \hspace*{10mm}\url{https://github.com/ketpic/ketcindy}\\ ã‹ã‚‰ä»¥ä¸‹ã®ã‚ˆã†ã«ãƒ€ã‚¦ãƒ³ãƒãƒ¼ãƒ‰ã§ãる．\\ - \hspace*{10mm}Clone or download > Download ZIP + \hspace*{10mm}Clone or download $>$ Download ZIP \item[注)]ã“ã®å ´åˆã¯ï¼Œketcindy-masterã«ãªã‚‹ï¼Ž \end{itemize} - \item forMac/forWindow/forLinuxã«ã‚ã‚‹Readmeã«å¾“ã£ã¦ï¼Œã‚¤ãƒ³ã‚¹ãƒˆãƒ¼ãƒ«ã™ã‚‹ï¼Ž + \item forMac/forWindows/forLinuxã«ã‚ã‚‹Readmeã«å¾“ã£ã¦ï¼Œã‚¤ãƒ³ã‚¹ãƒˆãƒ¼ãƒ«ã™ã‚‹ï¼Ž \end{enumerate} \end{enumerate} diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/Intersectcurvsf.pdf b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/Intersectcurvsf.pdf Binary files differindex 2e5d37e25d8..875cfc72245 100644 --- a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/Intersectcurvsf.pdf +++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/Intersectcurvsf.pdf diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/frustume.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/frustume.tex new file mode 100644 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\ No newline at end of file diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/wire04.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/wire04.tex new file mode 100644 index 00000000000..8c69fb66dc3 --- /dev/null +++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/wire04.tex @@ -0,0 +1,30 @@ +%%% /Users/hannya/Desktop/fig/wire04.tex +%%% Generator=template3D.cdy +{\unitlength=8mm% +\begin{picture}% +(3.57,3.27)(-1.77,-0.91)% +\special{pn 8}% +% +\settowidth{\Width}{$x$}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{$x$}\settodepth{\Depth}{$x$}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(-1.8000000,-0.4700000){\hspace*{\Width}\raisebox{\Height}{$x$}}% +% +\settowidth{\Width}{$y$}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{$y$}\settodepth{\Depth}{$y$}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(1.4600000,-0.6100000){\hspace*{\Width}\raisebox{\Height}{$y$}}% +% +\settowidth{\Width}{$z$}\setlength{\Width}{-0.5\Width}% +\settoheight{\Height}{$z$}\settodepth{\Depth}{$z$}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% +\put(0.0000000,2.1200000){\hspace*{\Width}\raisebox{\Height}{$z$}}% +% +\special{pa 494 -130}\special{pa -494 130}% +\special{fp}% +\special{pa -391 -164}\special{pa 391 164}% +\special{fp}% +\special{pa 0 287}\special{pa 0 -594}% +\special{fp}% +\special{pa -442 -17}\special{pa -247 -84}% +\special{fp}% +\special{pa 196 82}\special{pa 247 -65}\special{pa 0 -297}\special{pa 196 82}% +\special{fp}% +\end{picture}}%
\ No newline at end of file diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/KeTCindyReferenceE.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/KeTCindyReferenceE.tex index e3b86464ef9..654d4da88c3 100644 --- a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/KeTCindyReferenceE.tex +++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/KeTCindyReferenceE.tex @@ -156,19 +156,20 @@ Hide coordinate axes. \itemket{Description}Generic function to set the style of axis. \itemket{Details}Parameters are:\\ 1. Style of axis ("l" ; line(default), "a" : arrow)\\ -\hspace*{10mm}Rem)Write like \verb|"a0.5"| when setting the size.\\ -2. Name of horizontal ax ( default is \verb|"x"|)\\ -3. Posion of horizontal name (default is \verb|"e"|)\\ -4. Name of horizontal ax ( default is \verb|"y"|)\\ -5. Posion of horizontal name (default is \verb|"n"|)\\ -6. Name of origin (default is \verb|"O"|)\\ -7. Position of origin (default is \verb|"sw"|)\\ -8. Line style\\ +2. Name of horizontal ax ( default is x)\\ +3. Posion of horizontal name (default is "e")\\ +4. Name of horizontal ax ( default is y)\\ +5. Posion of horizontal name (default is "n")\\ +6. Name of origin (default is O)\\ +7. Position of origin (default is "sw")\\ +8. Linestyle\\ 9. Color of axes\\ 10. Color of labels\\ + \itemket{Examples}\mbox{} \verb|Setax(["a","","","","","","nw"]);|\\ +\verb|Setax(["","","","","","","","do","red"]);|\\ \verb|Setax([7,"nw"]);|\\ \verb|Setax(["a","\theta","","x","w"]);| @@ -192,10 +193,10 @@ To draw a point in the void mode. \verb|Setax([7,"se"]);|\\ \verb|Setpt(8);|\\ -\verb|Drwpt([-pi,0],0);|\\ +\verb|Pointdata("1",[[-pi,0]],["Inside=0"]);|\\ \verb|Drwxy();|\\ \verb|Plotdata("1","sin(x)","x",["dr","Num=300"]);|\\ -\verb|Drwpt([pi,0],0);| +\verb|Pointdata("2",[[pi,0]],["Inside=0"]);| \begin{center} \input{Fig/drwxy} @@ -322,7 +323,7 @@ $f(x)=\left\{\begin{array}{l}1 (x\geq 0)\\ -1 (x<0)\\ \end{array}\right.$ \itemket{Usage}Setpt(ratio); \itemket{Description}Generic funtion to set the size of points. \itemket{Details}"ratio" is the ratio from the standard size.\\ -Size can be change as a option of ``Pointdata". +Size can be change as a option of "Pointdata". \itemket{Examples}\mbox{} \verb|Pointdata("1",A,["Size=1"]);|\\ @@ -333,6 +334,13 @@ Size can be change as a option of ``Pointdata". \hspace{20mm}\input{Fig/pointsize} \end{cmd} +%------------Setarrow-------------------------------- +\begin{cmd}{Setarrow}{setarrow} +\itemket{Usage}Setarrow(size,angle,position,cut,segstyle) +\itemket{Description}Generic function to set the arrow. +\itemket{Details} Set the style of arrow. Same as options of \hyperlink{arrowdata}{Arrowdata()} .\\ +\end{cmd} + %------------Setmarklen-------------------------------- \begin{cmd}{Setmarklen}{setmarklen} @@ -363,7 +371,7 @@ The coordinate of apparent origin is $(3,2)$ but we use the original coordinate Left figure is Euclidean view, right figure is the result of \TeX. \begin{center} -\includegraphics[bb=0 0 227 205 , width=4cm]{Fig/setorigin.pdf}\hspace{10mm}% +\includegraphics[bb=0 0 299.02 250.01 , width=4cm]{Fig/setorigin.pdf}\hspace{10mm}% \input{Fig/setorigin} \end{center} @@ -480,13 +488,13 @@ In addition, there are options specific to each function. \begin{cmd}{Pointdata}{pointdata} \itemket{Usage}Pointdata(name, point list, options) \itemket{Description}Generic function to make a point data. -\itemket{Detailse}Options are "Size=", "Color=", "notex/nodisp". +\itemket{Detailse}Options are "Size=", "Color=", "Inside=","notex/nodisp". \itemket{Examples}\mbox{} \verb|Pointdata("1",[[1,2],[-2,3]]); | // make 2 points (1,2),(-2,3)\\ \verb|Pointdata("2",[A,B]); | // A and B are draw by drawing tool.\\ \verb|Pointdata("3",A,["size=4"]); | // size of point A is 4.\\ -\verb|Pointdata("4",[A,B],[0]); | // white circles\\ +\verb|Pointdata("4",[A,B],["Inside=0"]); | // white circles\\ \verb|Pointdata("5",[[3,4],[5,6]],["notex"]); | //not draw in the \TeX file.\\ \verb|Pointdata("6",[[3,4],[5,6]],["nodisp"]);| //not draw \TeX file and Euclidean view.\\ @@ -505,38 +513,38 @@ Draw node of tree. \end{cmd} %---------Drwpt ----------------------------------- -\begin{cmd}{Drwpt}{drwpt} -\itemket{Usage}Drwpt(point, option) or Drawpoint(point, options) -\itemket{Description}Draw a point. -\itemket{Details} -The position of point is specified via its coordinate or the name of geometric object. -When the point is to be displayed not only on \TeX\ final output but also on the Euclidean view, you should generate geometric point on the screen. -Also \verb|Pointdata()| or \verb|Putpoint()| can be used. -When several points are to be generated, -the list of them should be given as the argument. -When 0 is input as the option, the point is displayed in a solid-white manner. -\itemket{Examples}\mbox{} +%\begin{cmd}{Drwpt}{drwpt} +%\itemket{Usage}Drwpt(point, option) or Drawpoint(point, options) +%\itemket{Description}Draw a point. +%\itemket{Details} +%The position of point is specified via its coordinate or the name of geometric object. +%When the point is to be displayed not only on \TeX\ final output but also on the Euclidean view, you should generate geometric point on the screen. +%Also \verb|Pointdata()| or \verb|Putpoint()| can be used. +%When several points are to be generated, +%the list of them should be given as the argument. +%When 0 is input as the option, the point is displayed in a solid-white manner. +%\itemket{Examples}\mbox{} -Draw the points $(1,1)$ and $(4,3)$. +%Draw the points $(1,1)$ and $(4,3)$. -\verb| Drwpt([[1,1],[4,3]]);|\\ +%\verb| Drwpt([[1,1],[4,3]]);|\\ -After generating points A, B, and C on the Euclidean view, display their image on \TeX\ document. +%After generating points A, B, and C on the Euclidean view, display their image on \TeX\ document. -\verb| Drwpt([A,B,C]);|\\ +%\verb| Drwpt([A,B,C]);|\\ -The endpoint B of segment AB in a solid-white manner. +%The endpoint B of segment AB in a solid-white manner. -\verb| Ptsize(5);|\\ -\verb| Listplot([A,B]);|\\ -\verb| Drawpoint(B,0);| -\begin{center} -\input{Fig/drawpoint} -\end{center} +%\verb| Ptsize(5);|\\ +%\verb| Listplot([A,B]);|\\ +%\verb| Drawpoint(B,0);| +%\begin{center} +%\input{Fig/drawpoint} +%\end{center} -\itemket{Remark} \hyperlink{mkpttable}{Comparative chart of drawing of points} +%\itemket{Remark} \hyperlink{mkpttable}{Comparative chart of drawing of points} -\end{cmd} +%\end{cmd} %--------------Putpoint------------------------------ \begin{cmd}{Putpoint}{putpoint} @@ -1480,10 +1488,9 @@ Draw discontinuity accurately by "Dis" option. Draw floor function. \verb| Plotdata("1","floor(x)","x",["Num=100","Dis=0.9"]); |\\ -\verb| Ptsize(3); |\\ \verb| Drwxy(); |\\ \verb| repeat(7,s,start -> -2, |\\ -\verb| Drwpt([s+1,s],0); |\\ +\verb| Pointdata(text(s+3),[s+1,s],["Inside=0","Size=3"]);|\\ \verb| ); | \vspace{\baselineskip} @@ -1679,7 +1686,7 @@ The option "nth" is used to set the number when plotting data has multi intersec %-----------Letter--------------------------------- \begin{cmd}{Letter}{letter} -\itemket{Usage}Letter([position, direction, string]) +\itemket{Usage}Letter([position, direction, string],options) \itemket{Description}Display the string. \itemket{Details} Write the string at the position specified by position (or coordinates) and direction. \\ @@ -1689,6 +1696,7 @@ The distance from the specified position can also be given as a numerical value. Multiple strings can be passed in the form of a list. \\ \itemket{Remark}\mbox{} The derivative symbol $'$ uses \$ $'$ \$ (single quart) in mathematical mode (interleaved with two \$ s). +Option is size of font. For example, ["size=32"] \item[Example]\mbox{} \verb|Letter([[2,1] ,"se","P"]); | // Display P in the southeast of the coordinates (2, 1). \\ @@ -2615,6 +2623,28 @@ Gets the points at both ends of the graph with limited domain and draw the line \begin{center} \input{Fig/ptstart} \end{center} \end{cmd} +%------------Readcsv-------------------------------- +\begin{cmd}{Readcsv}{readcsv} + +\itemket{Usage}Readcsv(path,filename,option) +\itemket{Description}read an external data file in csv format. The return value is a list of the data. +\itemket{Details}The first argument sets a path to the current working folder where the data file is (the default is fig). +If you put the data file in fig folder, the pathname can be omitted. Otherwise a full pathname is required.\\ +option: By the argument "Flat=y", you can flatten a list of the data (the default is "Flat=n" ). +\itemket{Examples} \mbox{} +Examples can be found in the command Boxplot(). +\end{cmd} + +%------------Readlines-------------------------------- +\begin{cmd}{Readlines}{readlines} + +\itemket{Usage}Readlines(path,filename,option) +\itemket{Description}read a text file line by line. The return value is a list of strings. +\itemket{Details}The first argument sets a path to the current working folder where the data file is (the default is fig). +If you put the data file in fig folder, the pathname can be omitted. Otherwise a full pathname is required.\\ +option: By the argument "Flat=y", you can flatten a list of the data (the default is "Flat=n" ). +\end{cmd} + %----------ReadOutData---------------------------------- \begin{cmd}{ReadOutData}{readoutdata} \itemket{Usage}ReadOutdata(filename); @@ -3531,27 +3561,6 @@ Example2 \end{cmd} -%------------Readcsv-------------------------------- -\begin{cmd}{Readcsv}{readcsv} - -\itemket{Usage}Readcsv(path,filename,option) -\itemket{Description}read an external data file in csv format. The return value is a list of the data. -\itemket{Details}The first argument sets a path to the current working folder where the data file is (the default is fig). -If you put the data file in fig folder, the pathname can be omitted. Otherwise a full pathname is required.\\ -option: By the argument "Flat=y", you can flatten a list of the data (the default is "Flat=n" ). -\itemket{Examples} \mbox{} -Examples can be found in the command Boxplot(). -\end{cmd} - -%------------Readlines-------------------------------- -\begin{cmd}{Readlines}{readlines} - -\itemket{Usage}Readlines(path,filename,option) -\itemket{Description}read a text file line by line. The return value is a list of strings. -\itemket{Details}The first argument sets a path to the current working folder where the data file is (the default is fig). -If you put the data file in fig folder, the pathname can be omitted. Otherwise a full pathname is required.\\ -option: By the argument "Flat=y", you can flatten a list of the data (the default is "Flat=n" ). -\end{cmd} %------------Scatterplot-------------------------------- \begin{cmd}{Scatterplot}{scatterplot} @@ -4135,11 +4144,29 @@ Meanings and defaults of options are\\ \end{cmd} \newpage -%=== 3D ========= +%========== 3D ========= \section{\ketcindy 3D} +\subsection{Screen} +The screen of KETCindy3D is structured as follows. + +There are two areas surrounded by a white rectangle on the drawing surface of Cinderella. The area on the left side where the NE and the SW are diagonal is referred to as the main screen, and the area on the right side is referred to as the sub screen. + +\vspace{\baselineskip} +\begin{center} + \includegraphics[bb=0 0 879.05 447.02 , width=8cm]{Fig/3dstart.pdf} +\end{center} +As in the case of a flat surface, the main screen shows the range output to TeX and it can be changed by dragging two points of NE and SW. The viewpoint can be moved with the slider below the main screen, and the axis rotates on the main screen. You can think of the sub screen as a viewpoint placed on the xy plane. + +When you draw points and line segments with Cinderella's drawing tool on the main screen, points corresponding to the secondary screen are drawn. You can change the x, y coordinates by dragging the point on the main screen, and drag the point on the sub screen to change the z coordinate. + +\vspace{\baselineskip} +\begin{center} + \includegraphics[bb=0.00 0.00 863.04 378.52 , width=10cm]{Fig/3dscreen.pdf} +\end{center} +KeTCindy3D performs hidden line processing on lines and surfaces. Hidden line processing speeds up processing in cooperation with C language. +It is necessary to develop an environment that uses C language, but now it is standardized. If you can not use C language, you will use a function to compute with R, but in that case it will take quite a while. -%==================================== \subsection{Setting and Defining} %------------Ketinit3d-------------------------------- \begin{cmd}{Ketinit3d}{ketinit3D} @@ -4148,11 +4175,10 @@ Meanings and defaults of options are\\ \itemket{Details}Euclidean view of Cinderella becomes 3D mode. Two sliders are created to indicate the viewing angle TH($\theta$), FI($\phi$). The initial values are $\mathrm{TH}=0$ and $\mathrm{FI}=0$.\\ \textcolor{red}{Caution} This funcition and Ketinit() have to write on Initializaiton slot. -\itemket{Remark}If \verb|Ketinit3d(0)| is used, the subscreen is not displayed. +\itemket{Remark}If \verb|Ketinit3d(0)| is used, the subscreen is not displayed. Ketinit () is also placed in the Initialization Slot, unlike 2D. \end{cmd} %------------Start3d-------------------------------- - \begin{cmd}{Start3d}{start3d} \itemket{Usage}Start3d(option) \itemket{Description}3d function to initialize limited variables. @@ -4160,12 +4186,12 @@ Meanings and defaults of options are\\ This funcition should be written at the beginning of Draw slot.\\ The option is a list of geometric points which are not regarded as 3D points. \itemket{Example}\mbox{}\\ +If option is given a list of exclusion points, that point is not a point of space. (The position does not change even if moving the viewpoint with the slider) + \verb|Start3d([A,B,C]);|\\ -\verb|Slider("A-C-B");| // A,C,B should not be 3D points. -\end{cmd} +\verb|Slider("A-C-B");| // A,C,B should not be 3D points.\end{cmd} %--------------Startsurf------------------------------ - \begin{cmd}{Startsurf}{startsurf} \itemket{Usage}Startsurf(options) \itemket{Description}Defines values related to surface rendering. @@ -4178,33 +4204,143 @@ Drawing of a curved surface with hidden line processing is performed in the foll %\itemket{Examples} \mbox{} \end{cmd} -%--------------Isangle------------------------------ -\begin{cmd}{Isangle}{isangle} +%-------------Xyzax3data------------------------------- +\begin{cmd}{Xyzax3data}{xyzax3data} -\itemket{Usage}Isangle() -\itemket{Description}Decide the selection of the angle slider. -\itemket{Details}Returns ``true" if select slider, and ``false" if not.\\ -In drawing including hidden line processing, reaction is bad when recalculating while moving the viewpoint. With this function, you can write code that does not recalculate while moving the viewpoint. +\itemket{Usage} Xyzax3data(name, range of x, range of y, range of z, options) +\itemket{Description}Generic function to draw the coordinate axis. +\itemket{Details}Name can be null string.\\ +Options are the followings.\\ +"an": arrowhead, n is size.\\ +"Onesw": origin and its position. +\itemket{Examples} \mbox{} -\itemket{Examples} \mbox{} +\verb|Xyzax3data("","x=[-5,5]","y=[-5,5]","z=[-5,5]");|\\ +\verb|Xyzax3data("","x=[-5,5]","y=[-5,5]","z=[-5,5]","a");| //arrowhead\\ +\verb|Xyzax3data("","x=[-5,5]","y=[-5,5]","z=[-5,5]",["a2"]);| //big arrowhead\\ +\verb|Xyzax3data("","x=[-5,5]","y=[-5,5]","z=[-5,5]",["O"]);|\\ +\verb|Xyzax3data("","x=[-5,5]","y=[-5,5]","z=[-5,5]",["a","Oe2n2"]);| //set origin upper right -\verb| fd=[ |\\ -\verb| "z=4-(x^2+y^2)",|\\ -\verb| "x=R*cos(T)","y=R*sin(T)",|\\ -\verb| "R=[0,2]","T=[0,2*pi]","e" \verb| ];|\\ -\verb| if(Isangle(),|\\ -\verb| Sf3data("1",fd);|\\ -\verb| ,|\\ -\verb| Startsurf();|\\ -\verb| Sfbdparadata("1",fd);|\\ -\verb| Crvsfparadata("1","ax3d","sfbd3d1",fd);|\\ -\verb| ExeccmdC("1");|\\ -\verb| );| +\end{cmd} + +\newpage +%================== 3D Drawing =============== + +\subsection{Command for Drawing} +\subsubsection{Point and line} +%--------------Drawpoint3d------------------------------ + +\begin{cmd}{Drawpoint3d}{drawpoint3d} + +\itemket{Usage}Drawpoint3d(list of coordinates) +\itemket{Description}Generic function to draw 3D-points. +\itemket{Details}These points are not geometric point. +To convert the geometric point, use \hyperlink{putpoint3d}{Putpoint3d()}. +To output in the \TeX file, use \hyperlink{pointdata}{Pointdata()} or \hyperlink{drwpt}{Drawpoint()}. +\itemket{Examples} \mbox{} + +\verb| Drawpoint3d([1,1,1]); |\\ +\verb| Drawpoint3d([[1,1,1],[0,1,0]]); | + +\itemket{Remark} \hyperlink{mkpttable}{Comparative chart of drawing of points} \end{cmd} -\subsection{Command for Drawing} +%--------------Pointdata3d------------------------------ +\begin{cmd}{Pointdata3d}{pointdata3d} + +\itemket{Usage}Pointdata3d(name, point list, options) +\itemket{Description}Generic function to generate data of the point list. +\itemket{Details}Options are "Size=","Color=". +\itemket{Examples} \verb|Pointdata3d("1",[[0,1,0],[1,1,2]],["Size=2","Color=red"]);| +\end{cmd} +%---------------Putpoint3d----------------------------- +\begin{cmd}{Putpoint3d}{putpoint3d} + +\itemket{Usage}Putpoint3d(list of 3D-points, option) +\itemket{Description}Generic function to draw the geometric point in the space. +\itemket{Details}Option is "free" or "fix"(default). +\itemket{Examples} \mbox{} + +\verb|Putpoint3d(["A",[2,1,3]]);|\\ +\verb|Putpoint3d(["A",[2,1,3]],"free");| \\ +\verb|Putpoint3d(["A",[1,1,1],"C",[1,0,1]]);|\\ + +These points don't output in the \TeX file. To output in the \TeX file use the following \hyperlink{pointdata}{Pointdata()} or \hyperlink{drwpt}{Drawpoint()} + +In the 3D-drawings the coordinate of the point name A is A3d. + +\itemket{Remark} \hyperlink{mkpttable}{Comparative chart of drawing of points} + +\end{cmd} + +%-----------------Putaxes3d--------------------------- +\begin{cmd}{Putaxes3d}{putaxes3d} + +\itemket{Usage}Putaxes3d([x,y,z]) +\itemket{Description}Generic function to make the geometric points on the coordinate axis. +\itemket{Details}For the argument [x,y,x] we get the four geometric points X(x,0,0), Y(0,y,0), Z(0,0,z) and O(0,0,0). +\itemket{Examples} \mbox{} + +\verb|Putaxes3d([1,2,3]);|\\ +\verb|Putaxes3d(a);| //this equals to \verb|Putaxes3d([a,a,a]);| + +\end{cmd} + +%--------------PutonCurve3d------------------------------ +\begin{cmd}{PutonCurve3d}{putonCurve3d} + +\itemket{Usage} PutonCurve3d(name, PD) +\itemket{Description}Generic function to make the geometric point on the 3D-curve. +\itemket{Details}This point moves along the curve by mouse dragging. +\itemket{Examples} \mbox{} + +Make reference to \hyperlink{partcrv3d}{Partcrv3d()} +\end{cmd} +%----------------Putonseg3d---------------------------- +\begin{cmd}{Putonseg3d}{putonseg3d} + +\itemket{Usage}Putonseg3d(name, point1, point2) +\itemket{Description}Generic function to make the geometric point on the 3D-segment. +\itemket{Details}We get the middle point between the two points. This point moves along the segment by mouse dragging. +\itemket{Examples} \mbox{} + +\verb|Putonseg3d("C",A,B);| //Put C on the center of A and B.\\ +\verb|Putonseg3d("C",[A,B]);| //same as above +\end{cmd} +%--------------Spaceline------------------------------ +\begin{cmd}{Spaceline}{spaceline} + +\itemket{Usage} Spaceline(name, list) +\itemket{Description}Generic function to draw the space polygonal lines. +\itemket{Details}Options are line type: "dr" or "da" or "do". +\itemket{Examples} \mbox{} + +\verb|Spaceline("1",[[2,5,1],[4,2,3]]);| //draw the line between two points\\ +\verb|Spaceline("2",[A,B,C,A]);| //draw the triangle ABC\\ + +\begin{layer}{150}{0} +\putnotese{100}{-5}{ \input{Fig/oresenex01}} +\end{layer} + +\verb|pt=[[2,0,0],[2,0,2],[2,2,2],[0,2,2],[0,4,2],[0,4,4]]; |\\ +\verb|Spaceline("1",pt); |\\ +\verb|Pointdata3d("1",pt,["Size=3"]);| + +\vspace{30mm} +\end{cmd} +%-------------Spacecurve------------------------------- +\begin{cmd}{Spacecurve}{spacecurve} + +\itemket{Usage}Spacecurve(name, formula, domain, options) +\itemket{Description}Generic function to draw the space curve. +\itemket{Examples} \mbox{} +\verb|Spacecurve("1","[2*cos(t),2*sin(t),0.2*t]","t=[0,4*pi]",["Num=100"]);|\\ +option=["Num=100"]: division number of the interval "t=[0,4*pi]" + \begin{center} \input{Fig/rasen} \end{center} +\end{cmd} + %-------------Bezier3d}------------------------------- \begin{cmd}{Bezier3d}{bezier3d} @@ -4219,27 +4355,66 @@ In drawing including hidden line processing, reaction is bad when recalculating \begin{center} \input{Fig/bezier3d1} \end{center} \end{cmd} -%----------Changestyle3d---------------------------------- -\begin{cmd}{Changestyle3d}{changestyle3d} -\itemket{Usage} Changestyle3d(PD,option) -\itemket{Description}Change the attribute of PD. -\itemket{Details}Change the attribute of PD to one with option specification. PD is a plotting data or a list of plotting data. +%---------Mkbezierptcrv3d----------------------------------- +\begin{cmd}{Mkbezierptcrv3d}{mkbezierptcrv3d} +\itemket{Usage}Mkbezierptcrv3d(list) +\itemket{Description}Draw a cubic B\'ezier curve from nodes. +\itemket{Details}Arrange the control points automatically. +After that, move the nodes and the control points and correct the cubic B\'ezier curve to what you want to draw. See the function {\tt \hyperlink{bezier}{Bezier3d}}. \itemket{Examples} \mbox{} -Make a tetrahedron by four points of space.\\ -\verb|Spaceline("1",[A,B]);|\\ -\verb|Spaceline("2",[A,C]);|\\ -\verb|Spaceline("3",[B,C]);|\\ -\verb|Spaceline("4",[A,D]);|\\ -\verb|Spaceline("5",[B,D]);|\\ -\verb|Spaceline("6",[C,D]);|\\ -then\\ -\verb|Changestyle3d("sl3d1",["dr,3"]);| // one edge become thick.\\ -or\\ -\verb|edges=apply(1..6,"sl3d"+text(#));|\\ -\verb|Changestyle3d(edges,["notex"]);| // all edges become ``notex".\\ +\verb|Mkbezierptcrv3d(["A","B","C","D"]);| \end{cmd} +%-------------Skeletonparadata------------------------------- +\begin{cmd}{Skeletonparadata}{skeletonparadata} + +\itemket{Usage}Skeletonparadata(name, PDlist, PDlist, option) +\itemket{Description}Generic function to draw the lines by performing hidden line processing. +\itemket{Details}This function draw the second argument(the list of the lines) by performing hidden line processing which are hidden by the third argument(the list of the lines). If both arguments are omitted the function draw all lines by performing hidden line processing. + +Options:\\ +\hspace*{5mm}\verb|real number| gap of line\\ +\hspace*{5mm}\verb|"No=pointlist"| not executed when any point is selected\\ +\hspace*{5mm}\verb|"File=y/m/n(default:n)"| whether to make data file or not\\ +\hspace*{5mm}\verb|"Check=pointlist"| data file updated if any point is changed + +\itemket{Examples} \mbox{} + +\verb| Xyzax3data("","x=[-5,5]","y=[-5,4]","z=[-5,3]");| //Data name is "ax3d".\\ +\verb| Putpoint3d(["A",[0,-2,-2]]);|\\ +\verb| Putpoint3d(["B",[-1,1,3]]);|\\ +\verb| Spaceline([A,B]);| //Data name is "AB3d".\\ +\verb| Spacecurve("1","[2*cos(t),2*sin(t),0.2*t]","t=[0,4*pi]",["Num=100"]);| //Data name is "sc3d1".\\ + +\verb|Skeletonparadata("1");| //(left figure)\\ +\verb|Skeletonparadata("1",[2]);| //option\verb|=[2]|: gap of lines\verb|=2| (center figure)\\ +\verb|Skeletonparadata("1",["AB3d","ax3d"],["sc3d1"]);| //(right figure) +\begin{center} \input{Fig/skeletonparadata01} \input{Fig/skeletonparadata02} + \input{Fig/skeletonparadata03} \end{center} + +\end{cmd} + +%================== 3D polyhedron =============== +\subsubsection{Polyhedron} + + The description of polyhedron drawing will be explained by taking the case of tetrahedron as an example. + +The tetrahedron is composed of four sides. Letting the vertices be A, B, C, D, the four faces are + +\hspace{20mm}$\triangle\mathrm{ABC}$, $\triangle\mathrm{ABD}$, $\triangle\mathrm{ACD}$, $\triangle\mathrm{BCD}$ + +\begin{center} \input{Fig/concatobj} \end{center} + +If numbers are given to the vertex list [A, B, C, D] in order from A, the vertex order of each face is [1, 2, 3], [1, 2, 4], [1, 3 , 4], [2, 3, 4]. + +[A, B, C, D], [[1, 2, 3], [1, 2, 4], [1, 3, 4], [2 , 3, 4]]] is called "surface data". VertexEdgeFace () draws a polyhedron using this surface data. + +There are two kinds of hidden line processing of polyhedron. The first method is to treat polyhedron as a line drawing, and to process only the hidden part, using Skeletonparadata (). + +The other is to use Phparadata () as a way to draw a part hidden in the surface with a dotted line or hide it, considering it as a surface. + +\vspace{\baselineskip} %------------Concatobj-------------------------------- \begin{cmd}{Concatobj}{concatobj} @@ -4250,90 +4425,269 @@ or\\ A tetrahedron by four vertecies A,B,C,D.\\ The tetrahedron consists of four planes $\triangle\mathrm{ABC}$, $\triangle\mathrm{ABD}$, $\triangle\mathrm{ACD}$, $\triangle\mathrm{BCD}$.\\ + +\verb| Putpoint3d("A",2*[0,0,sqrt(3)]); |\\ +\verb| Putpoint3d("B",2*[1,-1/sqrt(3),0]);|\\ +\verb| Putpoint3d("C",2*[0,sqrt(3)-1/sqrt(3),0]);|\\ +\verb| Putpoint3d("D",2*[-1,-1/sqrt(3),0]);|\\ +\verb| phd=Concatobj([[A,B,C],[A,B,D],[A,C,D],[B,C,D]]);|\\ +\verb| VertexEdgeFace("1",phd);|\\ +\verb| Skeletonparadata("1");|\\ +\verb| Letter3d([A3d,"ne","A",B3d,"sw","B",C3d,"se","C",D3d,"e","D"]);|\\ + \begin{center} \input{Fig/concatobj} \end{center} -\verb|Concatobj([[A,B,C],[A,B,D],[A,C,D],[B,C,D]]);|\\ -makes [[A,B,C,D],[[1,2,3],[1,2,4],[1,3,4],[2,3,4]]] -This data is used to drawing tetrahedron. -For example code, see \hyperlink{vertexedgeface}{VertexEdgeFace()}. + +If you are drawing tetrahedrons without creating geometric points, you can do as follows. + +\verb| a=2*[-1,-1/sqrt(3),0];|\\ +\verb| b=2*[1,-1/sqrt(3),0];|\\ +\verb| c=2*[0,sqrt(3)-1/sqrt(3),0];|\\ +\verb| d=2*[0,0,sqrt(3)];|\\ +\verb| phd=Concatobj([[a,b,c],[a,b,d],[a,c,d],[b,c,d]]);|\\ + +In the case of a convex polygon such as a tetrahedron, we can use CindyScript 's convexhull 3 d () function as follows. You can save time and effort by simply providing a vertex list instead of a surface list. + +\verb| a=2*[0,0,sqrt(3)];|\\ +\verb| b=2*[1,-1/sqrt(3),0];|\\ +\verb| c=2*[0,sqrt(3)-1/sqrt(3),0];|\\ +\verb| d=2*[-1,-1/sqrt(3),0];|\\ +\verb| phd=convexhull3d([a,b,c,d]);|\\ + \end{cmd} -%-------------Crvsfparadata------------------------------- -\begin{cmd}{Crvsfparadata}{crvsfparadata} -\itemket{Usage}Crvsfparadata(name,PD1,PD2,formula) -\itemket{Description}Remove curves hidden by curved face. -%\itemket{Details} +%-------------Vertexedgeface------------------------------- +\begin{cmd}{Vertexedgeface}{vertexedgeface} + +\itemket{Usage} VertexEdgeFace(name, list, options) +\itemket{Description}Generic function to draw the polyhedron. +\itemket{Details}We use the faces data of the polyhedron.\\ +The second argument is the list of vertexes list and the faces list.\\ +For example, the faces data of the tetrahedron is [[A,B,C,D],[[1,2,3],[1,2,4],[1,3,4],[2,3,4]]].\\ + +The generated data is as follows. + +phv3d: list of vertices + +phe3d: list of edges + +phf3d: Surface list + +Each name is appended to the end. + \itemket{Examples} \mbox{} -For example code, see \hyperlink{execcmdc}{ExeccmdC()}. +\verb| Putpoint3d("A",2*[-1,-1/sqrt(3),0]); |\\ +\verb| Putpoint3d("B",2*[1,-1/sqrt(3),0]); |\\ +\verb| Putpoint3d("C",2*[0,sqrt(3)-1/sqrt(3),0]); |\\ +\verb| Putpoint3d("D",2*[0,0,sqrt(3)]); |\\ +\verb| phd=[[A,B,C,D],[[1,2,3],[1,2,4],[1,3,4],[2,3,4]]];|\\ +\verb| VertexEdgeFace("1",phd); |\\ + //Three data lists are made, phv3d1:vertex, phe3d1:edge and phf3d1:face. + \begin{center} \input{Fig/vertex01} \end{center} \end{cmd} -%--------------Datalist2d------------------------------ - -\begin{cmd}{Datalist2d}{datalist2d} +%--------------Phparadata------------------------------ +\begin{cmd}{Phparadata}{phparadata} -\itemket{Usage}Datalist2d() -\itemket{Description} Generic function to get a list of 2D-plotting data on the screen. +\itemket{Usage}Phparadata(name, name2, list of options) +\itemket{Description}Generic function to draw the polyhedron by performing hidden line processing. +\itemket{Details}Make polyhedral plot data with VertexEdgeFace (). For this plot data, hidden surfaces (sides) are hidden-line processed and displayed. The second argument name2 is the same as the name given by VertexEdgeFace (). The hidden line type is specified by the option "Hidden = line type". Hidden lines are not displayed by default setting. \itemket{Examples} \mbox{} -We execute the following program then the computer will display "PD=[ax2d,AB2d]" on the console.\\ +\begin{layer}{150}{0} +\putnotese{100}{0}{ \input{Fig/phparadata04}} +\end{layer} -\verb| Xyzax3data("","x=[-5,5]","y=[-5,5]","z=[-5,5]"); |\\ -\verb| Putpoint3d(["A",[0,-3,0],"B",[0,3,3]]); |\\ -\verb| Spaceline("1",[A,B]); |\\ -\verb| println("PD="+Datalist2d());| +Draw a tetrahedron. + +\verb| Putpoint3d("A",2*[-1,-1/sqrt(3),0]);|\\ +\verb| Putpoint3d("B",2*[1,-1/sqrt(3),0]);|\\ +\verb| Putpoint3d("C",2*[0,sqrt(3)-1/sqrt(3),0]);|\\ +\verb| Putpoint3d("D",2*[0,0,sqrt(3)]);|\\ +\verb| phd=Concatobj([[A,B,C],[A,B,D],[A,C,D],[B,C,D]]);|\\ +\verb| VertexEdgeFace("1",phd);|\\ +\verb| Phparadata("1","1",["Hidden=do"]);|\\ + +A tetrahedron is drawn by VertexEdgeFace (), but it is hidden by Phparadata (). Since it is correctly output if it is drawn with the figure button, it is good to execute Phparadata () after confirming it by displaying it on the screen before executing Phparadata (). + +\vspace{\baselineskip} +Draw a truncated icosahedron of s06 (soccer ball type) using polyhedron data \verb|polyhedrons_obj| by Kobayashi, Suzuki, Mitani. +\verb|Setdirectory( Dirhead+"/data/polyhedrons_obj");| //Many polyhedron data exist in this directory.\\ +\verb|phd=Readobj("s06.obj",["size=3"]);| //"s06" is the name of truncated icosahedron data.\\ +\verb|Setdirectory(Dirwork);| //Chage work space.\\ +\verb|VertexEdgeFace("s06",phd);|\\ +\verb|Phparadata("1","s06");| //default usage, left figure\\ + +The last two lines we can write the following.\\ +\verb|VertexEdgeFace("1",phd);|\\ +\verb|Phparadata("1","1");| +\begin{center} + \includegraphics[bb=0 0 726.04 365.02 , width=10cm]{Fig/phparadata01.pdf} +\end{center} + +\verb|Phparadata("1","s06",["dr,2","Hidden=do"]);| //right figure + \begin{center} \input{Fig/phparadata02} \input{Fig/phparadata03} \end{center} \end{cmd} -%--------------Datalist3d------------------------------ -\begin{cmd}{Datalist3d}{datalist3d} +%--------------Nohiddenbyfaces------------------------------ +\begin{cmd}{Nohiddenbyfaces}{nohiddenbyfaces} -\itemket{Usage}Datalist3d() -\itemket{Details}Generic function to get a list of 3D-plotting data. +\itemket{Usage}Nohiddenbyfaces(name,PD1,PD2,option1,option2) +\itemket{Description}Generic function to draw hidden lines by the surfaces. +\itemket{Details}PD1 are hidden lines, PD2 are surfaces.\\ +If we omit PD1 then all lines are processing objects.\\ +By default, hidden lines are drawn with dotted lines.\\ +Option1=line type of PD2 and option2=line type of hidden lines.\\ +If we specify only option2 then option1 must be null list:[].\\ \itemket{Examples} \mbox{} -We execute the following program then the computer will display "PD=[ax3d,AB3d]" on the console.\\ +\begin{verbatim} +Xyzax3data("","x=[-5,5]","y=[-5,5]","z=[-5,4]"); +Putpoint3d("A",2*[-1,-1/sqrt(3),0]); +Putpoint3d("B",2*[1,-1/sqrt(3),0]); +Putpoint3d("C",2*[0,sqrt(3)-1/sqrt(3),0]); +Putpoint3d("D",2*[0,0,2*sqrt(6)/3]); +phd=Concatobj([[A,B,C],[A,B,D],[A,C,D],[B,C,D]]); +VertexEdgeFace("1",phd); +Nohiddenbyfaces("1","phf3d1"); +\end{verbatim} +(left figure) -\verb| Xyzax3data("","x=[-5,5]","y=[-5,5]","z=[-5,5]"); |\\ -\verb| Putpoint3d(["A",[0,-3,0],"B",[0,3,3]]); |\\ -\verb| Spaceline("1",[A,B]); |\\ -\verb| println("PD="+Datalist3d()); | +\verb|Nohiddenbyfaces("1","phe3d1","phf3d1",["dr,2"],["da"]); | +(right figure) + +\begin{center} \input{Fig/nohiddenbyfaces1} \input{Fig/nohiddenbyfaces2} \end{center} + +We draw hidden axes with broken line in the following example.\\ +\verb|Nohiddenbyfaces("1","ax3d","phf3d1",[],["da"]);| \end{cmd} -%--------------Dist3d------------------------------ +%================== 3D Surface =============== +\subsubsection{Surface} -\begin{cmd}{Dist3d}{dist3d} +There are wire frame models and surface models for drawing curved surfaces. The wire frame model represents a curved surface with stitches, and the surface model draws its contour as a stitch-free surface. -\itemket{Usage}Dist3d(a1,a2) -\itemket{Description}Generic function to get the 3D-distance of two points. +In KeTCindy, each drawing is done using the following function. +\begin{tabbing} +1234567890123456789012345678901234567890\=\kill +Wire frame model without hidden wire \>Sf3data(name,form,options)\\ +Surface model\>Sfbdparadata(name,form,options)\\ +Hidden-line wireframe model \>Wireparadata(name,PD,form,n1,n2,options) +\end{tabbing} + +However, in order to do hidden line processing, surface data is necessary, so after drawing with Sfbdparadata (), draw hidden lines with ireparadata (). + +Also, in the drawing of the surface model, it takes time to process the hidden line, so it is assumed to use the C language. Therefore, ExeccmdC () which draws using C language is used together. + + \begin{center} \input{Fig/surfacemodel} \end{center} + +The form of the argument is an equation and a list of character strings for the domain of the variable. There are three patterns of equations as follows. + +\vspace{\baselineskip} +(1) $z=f(x,y)$ + + \hspace{5mm} ã€Example】formula : $z=x^2-y^2$ + + \hspace{15mm} range : $x=(-2,2) , y=(-2,2)$ + +(2) $z=f(x,y),x=g(r,t),y=h(r,t)$ + + \hspace{5mm} ã€Example】formula : $z=4-(x^2+y^2) , x=r\cos t , y=r\sin t$ + +\hspace{15mm} range : $r=(0,2) , t=(0,2\pi)$ + +(3) $x=f(u,v),y=g(u,v),z=h(u,v),$ + +\hspace{5mm} ã€Example】formula : $x=2\sin u \cos v , y=2\sin u \sin v , z=2\cos u $ + +\hspace{15mm} range : $u=(0,\pi) , v=(0,2\pi)$ + +\vspace{\baselineskip} + +Here, (2) and (3) are parametric types, each consisting of expressions of $ x, y, z $ and two domain of parametric variables. Since it is indistinguishable as it is, when giving it as an argument, "p" is added to the type of (3) as the identification character at the beginning. + +Regarding the domain of definition, there are cases where it is taken in the open section and in the closed section. The distinction is indicated by "ewsn" as boundary designation (both are closed segments). I think the meaning of "ewsn" as follows. + +\vspace{\baselineskip} +For variable $u,v$ , $a \leq u \leq b,c \leq v \leq d$ + + \begin{center} \input{Fig/ewsn} \end{center} + +This boundary designation is added at the end, but it can be omitted, and if omitted, it is the initial value "ewsn" (closed interval). + +To make both open segments, add "". However, do not perform hidden line processing +Sf3data () draws a line also on the boundary, so you can omit this specification. + +\vspace{\baselineskip} +\verb|fd=["p","x=r*cos(t)","y=r*sin(t)","z=2*(2-r)","r=[1,2]","t=[0,2*pi]","ew"]| + +\vspace{\baselineskip} +If this is "e", $ 1 <r \leq 2 $ is obtained, and the top face is not displayed. + +Also, if this is set to "w", $ 1 \leq r <2 $ and the bottom is not displayed. + +Furthermore, if you specify "ewn" or "ews" or abbreviate the initial value "ewsn", it will contain either the left or right value of $ t = (0, 2 \ pi) $, A border appears. + +\vspace{\baselineskip} +\hspace{12mm}"ew" \hspace{25mm}"e" \hspace{25mm}"w" \hspace{25mm}"ewn" + +\input{Fig/frustumew} \input{Fig/frustume} \input{Fig/frustumw} \input{Fig/frustumewn} + +%--------------Sf3data------------------------------ +\begin{cmd}{Sf3data}{sf3data} + +\itemket{Usage}Sf3data(name, list, list of options) +\itemket{Description}Generic function to draw the wire frame model of the surface. +\itemket{Details}Second argument is the list of equations and ranges. \\ +Options are the followings.\\ +"Num=[a,b]": x- and y-division number, default(or initial values) are a=b=25.\\ +"Wire=[a,b]": x- and y-wire number, default(or initial values) are a=b=20.\\ +"ewsn": From east to south, this indicates the boundary. \itemket{Examples} \mbox{} -Following three programs return the same result.\\ +\verb|Sf3data("1",["z=x^2-y^2","x=[-2,2]","y=[-2,2]"]);|\\ +\ \ //This is the first expression of the equation for the surface. Second argument is the list of equation, x-range and y-range. +\begin{center} \input{Fig/saddle1} \end{center} -\verb| Dist3d("A","B"); |\\ -\verb| Dist3d(A,B); |\\ -\verb| Dist3d(A3d,B3d); | +\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);| //fd is the second argument.\\ +(left figure)\\ + +\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);|\\ +(right figure) +\begin{center} \input{Fig/parabola} \input{Fig/sf3ddata3} \end{center} + +\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]"];| //"p" indicates the 3D-parameter expression.\\ +\verb|Sf3data("1",fd);| +\begin{center} \input{Fig/sf3ddata4} \end{center} \end{cmd} -%--------------Drawpoint3d------------------------------ -\begin{cmd}{Drawpoint3d}{drawpoint3d} +%-------------Sfbdparadata------------------------------- +\begin{cmd}{Sfbdparadata}{sfbdparadata} -\itemket{Usage}Drawpoint3d(list of coordinates) -\itemket{Description}Generic function to draw 3D-points. -\itemket{Details}These points are not geometric point. -To convert the geometric point, use \hyperlink{putpoint3d}{Putpoint3d()}. -To output in the \TeX file, use \hyperlink{pointdata}{Pointdata()} or \hyperlink{drwpt}{Drawpoint()}. -\itemket{Examples} \mbox{} +\itemket{Usage}Sfbdparadata(name, list, list of options) +\itemket{Description}Generic function to make the surface by performing hidden line processing. +\itemket{Details}Second argument is the list of equations and ranges same as the function "Sf3data". \\ +options1=no option or " "(space) or "r" or "m" and "Wait=integer". Default value of Wait is 20.\\ +No option or " "(space) means\\ +(1) If there exist no deta then it make a new data file.\\ +(2) If there exist deta then it read the data file.\\ +"m" means that it remake the new data file.\\ +"r" means that it reread the existing data file.\\ -\verb| Drawpoint3d([1,1,1]); |\\ -\verb| Drawpoint3d([[1,1,1],[0,1,0]]); | +option2="nodisp" or line type of hidden line. Default is "nodisp". -\itemket{Remark} \hyperlink{mkpttable}{Comparative chart of drawing of points} +If we specify only option2 then we denote that option1 is empty list:[]. \end{cmd} -%--------------ExeccmdC------------------------------ +%--------------ExeccmdC------------------------------ \begin{cmd}{ExeccmdC}{execcmdc} \itemket{Usage}ExeccmdC(name,options1,options2) @@ -4350,6 +4704,146 @@ option2="nodisp" or line type of hidden line. Default is "do".\\ If we specify only option2 then we denote that option1 is empty list:[]. \itemket{Examples} \mbox{} +\begin{layer}{150}{0} +\putnotese{95}{0}{ \input{Fig/sfbdpara01}} +\putnotese{95}{45}{ \input{Fig/sfbdpara02}} +\end{layer} + +Delete hidden lines and display + +\verb| fd=["z=x^2-y^2","x=[-2,2]","y=[-2,2]"];|\\ +\verb| if(Isangle(),|\\ +\verb| Sf3data("1",fd);|\\ +\verb| ,|\\ +\verb| Startsurf();|\\ +\verb| Sfbdparadata("1",fd);|\\ +\verb| ExeccmdC("1",[],["nodisp"]);|\\ +\verb| );|\\ + +Make the whole thick with a solid line and + + display the hidden line with a dotted line. + +\verb| ExeccmdC("1",["dr,2"]);| + +\vspace{10mm} + +Paraboloid + +\verb| fd=["z=4-(x^2+y^2)","x=R*cos(T)","y=R*sin(T)","R=[0,2]","T=[0,2*pi]","e"];|\\ + +Delete hidden line ( left figure)：\verb|ExeccmdC("1",[],["nodisp"]);| + +Hidden lines are indicated by broken lines ( right figure )：\verb|ExeccmdC("1",[],["da"]);| + + \begin{center} \input{Fig/sfbdpara03} \input{Fig/sfbdpara04} \end{center} + +When displaying two curved surfaces, name of Sfbdparadata () is set to "1" and "2", but it can be displayed together as \verb | ExeccmdC ("1") |. + +\verb| fd=[|\\ +\verb| "p",|\\ +\verb| "x=r*cos(t)","y=r*sin(t)","z=2*(2-r)",|\\ +\verb| "r=[1,2]","t=[0,2*pi]","ew"|\\ +\verb| ];|\\ +\verb| fd2=[|\\ +\verb| "p",|\\ +\verb| "x=r*cos(t)-3","y=r*sin(t)+3","z=2*(2-r)",|\\ +\verb| "r=[0,2]","t=[0,2*pi]","ew"|\\ +\verb| ];|\\ +\verb| if(!ptselected(),|\\ +\verb| Startsurf(); |\\ +\verb| Sfbdparadata("1",fd);|\\ +\verb| Sfbdparadata("2",fd2);|\\ +\verb| ExeccmdC("1");|\\ +\verb| );|\\ + +\begin{center} \input{Fig/sfbdpara05} \end{center} + +\end{cmd} +%-------------Wireparadata------------------------------- +\begin{cmd}{Wireparadata}{wireparadata} + +\itemket{Usage} Wireparadata(name, PD, formula, integer, integer, options) +\itemket{Description}Generic function to draw the surface by wire frame data with performing hidden line processing. +\itemket{Details}The second argument PD is the surface data made by Sfbdparadata function.\\ +options=no option or " "(space) or "r" or "m" and "Wait=integer". Default value of Wait is 30.\\ +No option or " "(space) means\\ +(1) If there exist no deta then it make a new data file.\\ +(2) If there exist deta then it read the data file.\\ +"m" means that it remake the new data file.\\ +"r" means that it reread the existing data file.\\ + +\itemket{Examples} \mbox{} + +\verb|fd=["z=x^2-y^2","x=[-2,2]","y=[-2,2]"]; |\\ +\verb|if(Isangle(), |\\ +\verb| Sf3data("1",fd); |\\ +\verb| , |\\ +\verb| Startsurf(); |\\ +\verb| Sfbdparadata("1",fd); | //We get the data named as "sfbd3d1".\\ +\verb| Wireparadata("1","sfbd3d1",fd,4,5,[""]); | //number of wires are 4 and 5.\\ +\verb| ExeccmdC("1"); | //draw the wires\\ +\verb|); | + +\begin{center} +\input{Fig/wirepara1} +\end{center} + +Change the following code. + +\verb|fd=["z=4-(x^2+y^2)","x=r*cos(t)","y=r*sin(t)","r=[0,2]","t=[0,2*pi]","e"];|\\ +\verb|Wireparadata("1","sfbd3d1",fd,5,7,[""]);| + +\begin{center} +\input{Fig/wirepara2} +\end{center} + +\verb|fd=["p","x=2*sin(u)*cos(v)","y=2*sin(u)*sin(v)","z=2*cos(u)","u=[0,pi]", |\\ +\verb| "v=[0,2*pi]","s"]; |\\ +\verb|Wireparadata("1","sfbd3d1",fd,12,12,[""]); | + +\begin{center} +\input{Fig/wirepara3} +\end{center} + +\begin{layer}{150}{0} +\putnotese{90}{15}{ \input{Fig/wirepara4}} +\end{layer} + +\verb|fd=["p","x=2*sin(u)*cos(v)","y=2*sin(u)*sin(v)","z=2*cos(u)","u=[0,pi]",|\\ +\verb| "v=[0,2*pi]","s"];|\\ +\verb|if(Isangle(),|\\ +\verb| Sf3data("1",fd);|\\ +\verb| ,|\\ +\verb| Startsurf();|\\ +\verb| Sfbdparadata("1",fd);|\\ +\verb| Wireparadata("1","sfbd3d1",fd,12,12,[""]);|\\ +\verb| Crvsfparadata("1","ax3d","sfbd3d1",fd);|\\ +\verb| ret=ExeccmdC("1");|\\ +\verb| forall(1..length(ret),|\\ +\verb| if(indexof(ret_#,"wireh")>0,|\\ +\verb| Changestyle3d([ret_#],["nodisp"]);|\\ +\verb| );|\\ +\verb| );|\\ +\verb|);| + +\vspace{\baselineskip} +\verb|fd=["p","x=(2+cos(u))*cos(v)","y=(2+cos(u))*sin(v)","z=sin(u)",|\\ +\verb| "u=[0,2*pi]","v=[0,2*pi]","s"];|\\ +\verb|Sfbdparadata("1",fd);|\\ +\verb|Wireparadata("1","sfbd3d1",fd,12,12,[""]); | + +\begin{center} \input{Fig/wirepara5} \end{center} + +\end{cmd} +%-------------Crvsfparadata------------------------------- + +\begin{cmd}{Crvsfparadata}{crvsfparadata} +\itemket{Usage}Crvsfparadata(name,PD1,PD2,formula) +\itemket{Description}Remove curves hidden by curved face. +%\itemket{Details} +\itemket{Examples} \mbox{} + left figure \verb| Xyzax3data("","x=[-5,5]","y=[-5,5]","z=[-5,5]"); |\\ @@ -4376,64 +4870,65 @@ The same as the return value is displayed as "readoutdata from template3D1.txt:" \hspace{20mm} \input{Fig/execcmdc1} -In addition, please refer to the next. \hyperlink{sfbdparadata}{Sfbdparadata()},\hyperlink{wireparadata}{Wireparadata()} +\end{cmd} + +%================== 3D Using Plot data =============== +\subsection{Using Plot data} + +%--------------Datalist2d------------------------------ + +\begin{cmd}{Datalist2d}{datalist2d} + +\itemket{Usage}Datalist2d() +\itemket{Description} Generic function to get a list of 2D-plotting data on the screen. +\itemket{Examples} \mbox{} + +We execute the following program then the computer will display "PD=[ax2d,AB2d]" on the console.\\ + +\verb| Xyzax3data("","x=[-5,5]","y=[-5,5]","z=[-5,5]"); |\\ +\verb| Putpoint3d(["A",[0,-3,0],"B",[0,3,3]]); |\\ +\verb| Spaceline("1",[A,B]); |\\ +\verb| println("PD="+Datalist2d());| \end{cmd} -%--------------Embed------------------------------ +%--------------Datalist3d------------------------------ -\begin{cmd}{Embed}{embed} -\itemket{Usage}Embed(name,PDlist,formula,varlist) -\itemket{Description}Embed plotting data of 2D in plane of 3D. -\itemket{Details}PDlist is list of plotting data of 2D. Plane of 3D is given by formula and varlist. +\begin{cmd}{Datalist3d}{datalist3d} + +\itemket{Usage}Datalist3d() +\itemket{Details}Generic function to get a list of 3D-plotting data. \itemket{Examples} \mbox{} -Embed an equilateral triangle and its circumscribed circle in a plane in 3D space. +We execute the following program then the computer will display "PD=[ax3d,AB3d]" on the console.\\ -(1) \verb|vo|, \verb|vx|, \verb|vy| are defined with function {\tt \hyperlink{defvar}{Defvar}} that uses R.\\ -\verb|Xyzax3data("","x=[-5,4]","y=[-10,4]","z=[-5,5]",["a","O"]);|\\ -\verb|Spaceline("1",[[3,0,0],[3,6,0],[3,6,6],[3,0,6],[3,0,0]]);|\\ -\verb|Defvar("vo=[3,3,3]");| // Defined in R\\ -\verb|Defvar("vx=[0,1,0]");| // Defined in R\\ -\verb|Defvar("vy=[0,0,1]");| // Defined in R\\ -\verb|Putpoint3d(["A",[3,3,3]]);|\\ -\verb|Circledata("1",[[0,0],[2,0]],["nodisp"]);|\\ -\verb|Listplot("1",[[0,2],[-sqrt(3),-1],[sqrt(3),-1],[0,2]],["nodisp"]);|\\ -\verb|Embed("1",["cr1","sg1"],"vo+x*vx+y*vy","[x,y]");|\\ -\verb|Ptsize(3);|\\ -\verb|Drawpoint(A);| +\verb| Xyzax3data("","x=[-5,5]","y=[-5,5]","z=[-5,5]"); |\\ +\verb| Putpoint3d(["A",[0,-3,0],"B",[0,3,3]]); |\\ +\verb| Spaceline("1",[A,B]); |\\ +\verb| println("PD="+Datalist3d()); | -Following view is as \verb|TH|=75,\verb|FI|=70. - \begin{center} \input{Fig/embed01} \end{center} +\end{cmd} -(2) A, B, and C are defined instead of vo, vx, vy defined by Defvar. But, in this case, points B and C are not drawn in the plane. So, the figure may be difficult to understand.\\ -\verb|Putpoint3d(["A",[3,3,3],"B",[0,1,0],"C",[0,0,1]]);|\\ -\verb|Embed("1",["cr1","sg1"],"A3d+x*B3d+y*C3d","[x,y]");|\\ -\begin{center} -\includegraphics[bb=0.00 0.00 477.02 383.02,width=8cm]{Fig/embed03.pdf} -\end{center} -To draw the B and C on the embedded figure, code changes as follows. -\verb|Putpoint3d(["A",[3,3,3],"B",[3,4,3],"C",[3,3,4]]);|\\ -\verb|Embed("1",["cr1","sg1"],"A3d+x*B3d+y*C3d","[x,y]");|\\ +%----------Changestyle3d---------------------------------- -(3) The function {\tt \hyperlink{perpplane}{Perpplane}} is used in next.\\ -\verb|Xyzax3data("","x=[-5,5]","y=[-8,5]","z=[-5,5]");|\\ -\verb|Putpoint3d(["O",[0,0,0],"P",[1,1,2]]);|\\ -\verb|Perpplane("E-F","P",P3d-O3d,"put");|\\ -\verb|vec1=3*(E3d-P3d);|\\ -\verb|vec2=3*(F3d-P3d);|\\ -\verb|Putpoint3d(["A",P3d+vec1+vec2]);|\\ -\verb|Putpoint3d(["B",P3d+vec1-vec2]);|\\ -\verb|Putpoint3d(["C",P3d-vec1-vec2]);|\\ -\verb|Putpoint3d(["D",P3d-vec1+vec2]);|\\ -\verb|Spaceline("1",[A,B,C,D,A]);|\\ -\verb|Circledata("1",[[0,0],[2,0]],["nodisp"]);|\\ -\verb|Listplot("1",[[0,2],[-sqrt(3),-1],[sqrt(3),-1],[0,2]],["nodisp"]);|\\ -\verb|Embed("1",["cr1","sg1"],"P3d+x*(E3d-P3d)+y*(F3d-P3d)","[x,y]");|\\ -\verb|Ptsize(3);|\\ -\verb|Drawpoint(P);|\\ -\verb|Skeletonparadata("1");| - \begin{center} \input{Fig/embed02} \end{center} +\begin{cmd}{Changestyle3d}{changestyle3d} +\itemket{Usage} Changestyle3d(PD,option) +\itemket{Description}Change the attribute of PD. +\itemket{Details}Change the attribute of PD to one with option specification. PD is a plotting data or a list of plotting data. +\itemket{Examples} \mbox{} + +Make a tetrahedron by four points of space.\\ +\verb|Spaceline("1",[A,B]);|\\ +\verb|Spaceline("2",[A,C]);|\\ +\verb|Spaceline("3",[B,C]);|\\ +\verb|Spaceline("4",[A,D]);|\\ +\verb|Spaceline("5",[B,D]);|\\ +\verb|Spaceline("6",[C,D]);|\\ +then\\ +\verb|Changestyle3d("sl3d1",["dr,3"]);| // one edge become thick.\\ +or\\ +\verb|edges=apply(1..6,"sl3d"+text(#));|\\ +\verb|Changestyle3d(edges,["notex"]);| // all edges become ``notex".\\ \end{cmd} %------------Intersectcrvsf-------------------------------- @@ -4467,14 +4962,65 @@ To draw the B and C on the embedded figure, code changes as follows. \begin{cmd}{IntersectsgpL}{intersectsgpL} \itemket{Usage}IntersectsgpL(name,segment,plane,option) \itemket{Description}Returns a intersection of a line segment and plane. -\itemket{Details}Specify a line segment with two endpoints. Specify the plane as three points that it contains. Options are ``put" or ``draw", and if omitted select ``draw".\\ +\itemket{Details}Specify a line segment with two endpoints. Specify the plane as three points that it contains. Options are "put" or "I" or "e" .\\ + +\hspace{10mm} put : Create geometric points + +\hspace{10mm} i : Draw a point if it is within a line segment + +\hspace{10mm} e : Draw a point if you meet on the plane + +\vspace{\baselineskip} Following two programs return the same result.\\ \verb| IntersectsgpL("P","A-B","C-D-E"); |\\ \verb| IntersectsgpL("P",[A3d,B3d],[C3d,D3d,E3d]); | +\vspace{\baselineskip} +Return value is [pt,flag1,flag2,val1,val2] + +pt : The coordinates of the intersection of the straight line and the plane. If the straight line and the plane are parallel and the intersection does not exist, the empty list []. + +flag1 : True if the intersection is within the line segment, false otherwise + +flag2 : True if intersection is in plane, false otherwise + +val1,val2 :Parameter values for line segments, parameter values for planes + % \verb|IntersectsgpL("P",[p1,p2],[p3,p4,p5],"draw");| \itemket{Examples} \mbox{} +Presence or absence of intersection and return value. + +The return value of \verb | flag 1, flag 2 | when changing \verb | p2 | with the following script + +\verb| p1=[1,-1,0];|\\ +\verb| p2=[0,0,1/2];|\\ +\verb| p3=[0,1,0];|\\ +\verb| p4=[-1,0,0];|\\ +\verb| p5=[0,0,1];|\\ +\verb| Spaceline("1",[p1,p2]);|\\ +\verb| Spaceline("2",[p3,p4,p5,p3]);|\\ +\verb| ret=IntersectsgpL("P",[p1,p2],[p3,p4,p5],"put");|\\ +\verb| println("flag1="+ret_2+": flag2="+ret_3);|\\ + +\begin{layer}{150}{0} +\putnotese{10}{20}{ \input{Fig/wire01}} +\putnotese{80}{20}{ \input{Fig/wire02}} +\end{layer} + +\verb| p2=[0,0,1/2]; p2=[-1,1,1];|\\ +\verb| flag1=false : flag2=true flag1=true : flag2=true |\\ + +\vspace{40mm} +\begin{layer}{150}{0} +\putnotese{10}{10}{ \input{Fig/wire03}} +\putnotese{80}{10}{ \input{Fig/wire04}} +\end{layer} +\verb| p2=[1,2,1]; p2=[1,0,1/2];|\\ +\verb| flag1=true : flag2=false　　 flag1=false : flag2=false |\\ + +\vspace{30mm} + cutcube \verb| Hn=3; |\\ @@ -4505,146 +5051,28 @@ add next script (right figure) \begin{center} \input{Fig/IntersectsgpL1} \input{Fig/IntersectsgpL2} \end{center} \end{cmd} -%-------------Invparapt------------------------------- - -\begin{cmd}{Invparapt}{invparapt} -\itemket{Usage}Invparapt(coordinate,PD) -\itemket{Description}Returns the point on the curve that is corresponding to the coordinates on the Euclidean view. -\itemket{Details}Returns the 3D-coordinates of the point on the curve(\verb|PD|) from the \verb|coordinate| on the Euclidean view. -\itemket{Examples} \mbox{} - -Find on the screen (not in the space) intersection points (\verb|tmp_1|, \verb|tmp_2|, $\dots$) of the spiral curve and the space line. Draw a part of the spiral whose end points (\verb|p1| and \verb|p2|) are selected from the intersection points.\\ -\verb| Spaceline("1",[[-1,-1,-1],[1,2,3]]); |\\ -\verb| Spacecurve("1","[2*cos(t),2*sin(t),0.2*t]","t=[0,4*pi]",["do"]);|\\ -\verb| tmp=Intersectcrvs("sl2d1","sc2d1");|\\ -\verb| p1=Invparapt(tmp_1,"sc3d1");|\\ -\verb| p2=Invparapt(tmp_2,"sc3d1");|\\ -\verb| Partcrv3d("1",p1,p2,"sc3d1"); |\\ -\begin{center} \input{Fig/invparapt} \end{center} -\end{cmd} - -%---------Mkbezierptcrv3d----------------------------------- -\begin{cmd}{Mkbezierptcrv3d}{mkbezierptcrv3d} -\itemket{Usage}Mkbezierptcrv3d(list) -\itemket{Description}Draw a cubic B\'ezier curve from nodes. -\itemket{Details}Arrange the control points automatically. -After that, move the nodes and the control points and correct the cubic B\'ezier curve to what you want to draw. See the function {\tt \hyperlink{bezier}{Bezier3d}}. -\itemket{Examples} \mbox{} - -\verb|Mkbezierptcrv3d(["A","B","C","D"]);| -\end{cmd} - -%--------------Nohiddenbyfaces------------------------------ -\begin{cmd}{Nohiddenbyfaces}{nohiddenbyfaces} - -\itemket{Usage}Nohiddenbyfaces(name,PD1,PD2,option1,option2) -\itemket{Description}Generic function to draw hidden lines by the surfaces. -\itemket{Details}PD1 are hidden lines, PD2 are surfaces.\\ -If we omit PD1 then all lines are processing objects.\\ -By default, hidden lines are drawn with dotted lines.\\ -Option1=line type of PD2 and option2=line type of hidden lines.\\ -If we specify only option2 then option1 must be null list:[].\\ -\itemket{Examples} \mbox{} - -\begin{verbatim} -Xyzax3data("","x=[-5,5]","y=[-5,5]","z=[-5,4]"); -Putpoint3d("A",2*[-1,-1/sqrt(3),0]); -Putpoint3d("B",2*[1,-1/sqrt(3),0]); -Putpoint3d("C",2*[0,sqrt(3)-1/sqrt(3),0]); -Putpoint3d("D",2*[0,0,2*sqrt(6)/3]); -phd=Concatobj([[A,B,C],[A,B,D],[A,C,D],[B,C,D]]); -VertexEdgeFace("1",phd); -Nohiddenbyfaces("1","phf3d1"); -\end{verbatim} -(left figure) - -\verb|Nohiddenbyfaces("1","phe3d1","phf3d1",["dr,2"],["da"]); | -(right figure) - -\begin{center} \input{Fig/nohiddenbyfaces1} \input{Fig/nohiddenbyfaces2} \end{center} - -We draw hidden axes with broken line in the following example.\\ -\verb|Nohiddenbyfaces("1","ax3d","phf3d1",[],["da"]);| - -\end{cmd} -%-------------Parapt------------------------------- -\begin{cmd}{Parapt}{parapt(coordinate)} - -\itemket{Usage}Parapt(3D-coordinate) -\itemket{Description}Generic function to return the 2D-coordinate on the plane of projection for the 3D-point. -\itemket{Examples} \mbox{} +%-------------Sfcutparadatacdy------------------------------- -\verb|println(Parapt([2,1,5]));| -\end{cmd} -%--------------Perpplane------------------------------ -\begin{cmd}{Perpplane}{perpplane} - -\itemket{Usage}Perpplane(name, point, vector, option) -\itemket{Description}Generic function to return the two points on the plane which is passing through the point and orthogonal to the vector. -\itemket{Details}The name is the two points name such as the form "A-B".\\ -Point is the name or the coordinate of the point through which the plane is passing.\\ -The vector is the normal of the plane.\\ -If option is "put" then the function draw two geometric points. +\begin{cmd}{Sfcutparadatacdy}{sfcutparadatacdy} +\itemket{Usage}Sfcutparadatacdy(name,string,list,options) +\itemket{Description}Obtain a line of intersection between a plane and a curved surface. +\itemket{Details}string is equation of plane, list is equation of a surface. \itemket{Examples} \mbox{} +Cross section of cone. -Return the points A,B on the plane which is passing through the point P and orthogonal to the vector [1,1,1]\\. -\verb|Perpplane("A-B","P",[1,1,1],"put");|\\ - -Return the points A,B on the plane which is passing through the point P and orthogonal to the line segment OP. In this situation PA and PB is orthogonal and length of PA and PB are 1.\\. -\verb|Perpplane("A-B","P",P3d-O3d);|\\ - -Draw point A,B,C,D by draw tool of Cinderella. - -\begin{layer}{120}{0} -\putnotese{100}{20}{ \input{Fig/perpplane}} +\vspace{\baselineskip} +\begin{layer}{150}{0} +\putnotese{70}{0}{\input{Fig/sfcut}} \end{layer} - -\verb| Xyzax3data("","x=[-5,5]","y=[-5,5]","z=[-5,4]"); |\\ -\verb| Putpoint3d(["O",[0,0,0]]); |\\ -\verb| Putpoint3d(["P",[1,1,1]]); |\\ -\verb| Perpplane("E-F","P",P3d-O3d,"put"); |\\ -\verb| vec1=2*(E3d-P3d); |\\ -\verb| vec2=2*(F3d-P3d); |\\ -\verb| Putpoint3d(["A",P3d+vec1+vec2]); |\\ -\verb| Putpoint3d(["B",P3d+vec1-vec2]); |\\ -\verb| Putpoint3d(["C",P3d-vec1-vec2]); |\\ -\verb| Putpoint3d(["D",P3d-vec1+vec2]); |\\ -\verb| Spaceline("1",[A,B,C,D,A]); |\\ -\verb| Arrowdata([O,P],["dr,2"]); |\\ -\verb| Letter([P,"w","P",A,"ne","A",B,"e","B",C,"ws","C",D,"nw","D",]); |\\ -\verb| Skeletonparadata("1"); |\\ - -\end{cmd} -%-------------Perppt------------------------------- -\begin{cmd}{Perppt}{perppt} - -\itemket{Usage}Perppt(name, point, list of points, option) -\itemket{Description}Generic function to get the foot of a perpendicular for the plane from the point. -\itemket{Details}We specify the plane by the list of points.\\ -Option is the following.\\ -"draw": draw the point, don't make the geometric point(default).\\ -"put" : make the geometric point.\\ -"none": only make the data and don't draw. -\itemket{Examples} \mbox{} - -We get the coordinate of the point H in the variable H3d for the following examples.\\ -\verb|Perppt("H","O","A-B-C","none");|\\ -\verb|Perppt("H","O","A-B-C");|\\ -\verb|Perppt("H","O","A-B-C","put");|\\ - -Example - -\verb|Xyzax3data("","x=[-5,5]","y=[-5,5]","z=[-5,4]"); |\\ -\verb|Putpoint3d("O",[0,0,0]); |\\ -\verb|Putpoint3d("A",[3,0,0]); |\\ -\verb|Putpoint3d("B",[0,3,0]); |\\ -\verb|Putpoint3d("C",[0,0,3]); |\\ -\verb|Perppt("H","O","A-B-C","put"); |\\ -\verb|Spaceline("1",[A,B,C,A]); |\\ -\verb|Spaceline("2",[O,H]); |\\ -\verb|Letter([A,"nw","A",B,"ne","B",C,"ne","C",O,"nw","O",H,"ne","H"]); |\\ - -\begin{center} \input{Fig/perppt} \end{center} +\verb|fd=[|\\ +\verb| "p",|\\ +\verb| "x=r*cos(t)","y=r*sin(t)","z=2*(2-r)",|\\ +\verb| "r=[0,2]","t=[0,2*pi]","e"|\\ +\verb|];|\\ +\verb|Startsurf(); |\\ +\verb|Sfbdparadata("1",fd);|\\ +\verb|Sfcutparadatacdy("1","y+2*z=3",fd);|\\ +\verb|ExeccmdC("1");|\\ \end{cmd} %--------------Partcrv3d------------------------------ @@ -4669,130 +5097,6 @@ Example \end{cmd} -%--------------Phparadata------------------------------ -\begin{cmd}{Phparadata}{phparadata} - -\itemket{Usage}Phparadata(name, name2, list of options) -\itemket{Description}Generic function to draw the polyhedron by performing hidden line processing. -\itemket{Details}Name2 is the plotting data of polyhedron which we get form the function VertexEdgeFace(). -\itemket{Examples} \mbox{} - -\verb|Setdirectory( Dirhead+"/data/polyhedrons_obj");| //Many polyhedron data exist in this directory.\\ -\verb|phd=Readobj("s06.obj",["size=3"]);| //"s06" is the name of truncated icosahedron data.\\ -\verb|Setdirectory(Dirwork);| //Chage work space.\\ -\verb|VertexEdgeFace("s06",phd);|\\ -\verb|Phparadata("1","s06");| //default usage, left figure\\ - -The last two lines we can write the following.\\ -\verb|VertexEdgeFace("1",phd);|\\ -\verb|Phparadata("1","1");| -\begin{center} - \includegraphics[bb=0 0 1452 730 , width=10cm]{Fig/phparadata01.pdf} -\end{center} - -\verb|Phparadata("1","s06",["dr,2","Hidden=do"]);| //right figure - \begin{center} \input{Fig/phparadata02} \input{Fig/phparadata03} \end{center} -\end{cmd} - -%--------------Phparadata------------------------------ -\begin{cmd}{Pointdata3d}{pointdata3d} - -\itemket{Usage}Pointdata3d(name, point list, options) -\itemket{Description}Generic function to generate data of the point list. -\itemket{Details}Options are "Size=","Color=". -\itemket{Examples} \verb|Pointdata3d("1",[[0,1,0],[1,1,2]],["Size=2","Color=red"]);| -\end{cmd} - -%---------------Projcoordpara----------------------------- -\begin{cmd}{Projcoordpara}{projcoordpara} - -\itemket{Usage}Projcoordpara(3D-coordinate) -\itemket{Description}Generic function to get the projection coordinate on the Euclidean view coordinate system. -\itemket{Examples} \mbox{} - -\verb|println(Projcoordpara([3,1,2]));| //printed value is such as [-0.65, 1.7, 3.27] where the third element means the (signed) distance from the projection plane. -\end{cmd} -%-----------------Putaxes3d--------------------------- -\begin{cmd}{Putaxes3d}{putaxes3d} - -\itemket{Usage}Putaxes3d([x,y,z]) -\itemket{Description}Generic function to make the geometric points on the coordinate axis. -\itemket{Details}For the argument [x,y,x] we get the four geometric points X(x,0,0), Y(0,y,0), Z(0,0,z) and O(0,0,0). -\itemket{Examples} \mbox{} - -\verb|Putaxes3d([1,2,3]);|\\ -\verb|Putaxes3d(a);| //this equals to \verb|Putaxes3d([a,a,a]);| - -\end{cmd} -%--------------PutonCurve3d------------------------------ -\begin{cmd}{PutonCurve3d}{putonCurve3d} - -\itemket{Usage} PutonCurve3d(name, PD) -\itemket{Description}Generic function to make the geometric point on the 3D-curve. -\itemket{Details}This point moves along the curve by mouse dragging. -\itemket{Examples} \mbox{} - -Make reference to \hyperlink{partcrv3d}{Partcrv3d()} -\end{cmd} -%----------------Putonseg3d---------------------------- -\begin{cmd}{Putonseg3d}{putonseg3d} - -\itemket{Usage}Putonseg3d(name, point1, point2) -\itemket{Description}Generic function to make the geometric point on the 3D-segment. -\itemket{Details}We get the middle point between the two points. This point moves along the segment by mouse dragging. -\itemket{Examples} \mbox{} - -\verb|Putonseg3d("C",A,B);| //Put C on the center of A and B.\\ -\verb|Putonseg3d("C",[A,B]);| //same as above -\end{cmd} -%---------------Putpoint3d----------------------------- -\begin{cmd}{Putpoint3d}{putpoint3d} - -\itemket{Usage}Putpoint3d(list of 3D-points, option) -\itemket{Description}Generic function to draw the geometric point in the space. -\itemket{Details}Option is "free" or "fix"(default). -\itemket{Examples} \mbox{} - -\verb|Putpoint3d(["A",[2,1,3]]);|\\ -\verb|Putpoint3d(["A",[2,1,3]],"free");| \\ -\verb|Putpoint3d(["A",[1,1,1],"C",[1,0,1]]);|\\ - -These points don't output in the \TeX file. To output in the \TeX file use the following \hyperlink{pointdata}{Pointdata()} or \hyperlink{drwpt}{Drawpoint()} - -In the 3D-drawings the coordinate of the point name A is A3d. - -\itemket{Remark} \hyperlink{mkpttable}{Comparative chart of drawing of points} - -\end{cmd} -%-------------Readobj------------------------------- -\begin{cmd}{Readobj}{readobj} - -\itemket{Usage}Readobj(filename, option) -\itemket{Description}Read in the polyhedron data in the folder name \verb|polyhedrons_obj| -\itemket{Details}\mbox{} - -Data of all \verb|Johnson solid| can be downloaded from\\ -\hspace*{20mm}\url{http://mitani.cs.tsukuba.ac.jp/polyhedron/}\\ -Store the folder into the work folder of \ketcindy\ for example, and execute\\ -\verb| Setdirectory(gethome+"/ketcindy/polyhedrons_obj");|\\ -\verb| polydt=Readobj("r02.obj",["size=2"]);|\\ -\verb| Setdirectory(Dirwork);|\\ -Then the data of \verb|r02.obj| are assigned to the variable \verb|polydt|. - -Option is ["size=n"] then we get the magnification of n times. If n is negative value then we have the image of vertical inversion. -\itemket{Examples} \mbox{} - -\verb|VertexEdgeFace("1",polydt);| //output data name is phf3d1\\ -\verb|Nohiddenbyfaces("1","phf3d1");| - -\begin{center} \input{Fig/readobj} \end{center} - -The main polyhedral data is as follows. - - \input{Fig/kobayashiE} - -\end{cmd} - %---------------Reflectdata3d----------------------------- \begin{cmd}{Reflectdata3d}{reflectdata3d} @@ -4911,304 +5215,326 @@ Reflection on the plane BDE \end{cmd} -%--------------Sf3data------------------------------ -\begin{cmd}{Sf3data}{sf3data} +%---------------Translatedata3d----------------------------- +\begin{cmd}{Translatedata3d}{translatedata3d} -\itemket{Usage}Sf3data(name, list, list of options) -\itemket{Description}Generic function to draw the wire frame model of the surface. -\itemket{Details}Second argument is the list of equations and ranges. \\ -Options are the followings.\\ -"Num=[a,b]": x- and y-division number, default(or initial values) are a=b=25.\\ -"Wire=[a,b]": x- and y-wire number, default(or initial values) are a=b=20.\\ -"ewsn": From east to south, this indicates the boundary. +\itemket{Usage}Translatedata3d(name, PD, vector) +\itemket{Description}Generic function to translate plotting data. +%\itemket{Details} \itemket{Examples} \mbox{} -\verb|Sf3data("1",["z=x^2-y^2","x=[-2,2]","y=[-2,2]"]);|\\ -\ \ //This is the first expression of the equation for the surface. Second argument is the list of equation, x-range and y-range. -\begin{center} \input{Fig/saddle1} \end{center} +The curve sc3d1 is translated by 2 in the y axis direction. +As a result, two curves parallel to the original curves are drawn. -\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);| //fd is the second argument.\\ -(left figure)\\ +\verb|Translatedata3d("1",["sc3d1"],[0,2,0]);|\\ -\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);|\\ -(right figure) -\begin{center} \input{Fig/parabola} \input{Fig/sf3ddata3} \end{center} +Since polygons drawn with VertexEdgeFace() can not be translated by this function, parallel movement is performed by directly manipulating the surface data. For example, to draw a regular octahedron using the polyhedron data obj of Kobayashi, Suzuki, and Mitani, do the following. This is the case of parallel movement by 2 in the y axis direction. -\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]"];| //"p" indicates the 3D-parameter expression.\\ -\verb|Sf3data("1",fd);| -\begin{center} \input{Fig/sf3ddata4} \end{center} +\verb|Setdirectory( Dirhead+"/data/polyhedrons_obj"); |\\ +\verb|phd=Readobj("r02.obj",["size=2"]); |\\ +\verb|Setdirectory(Dirwork); |\\ +\verb|dn=length(phd_1); |\\ +\verb|repeat(dn,s,phd_1_s=phd_1_s+[0,2,0]); |\\ +\verb|VertexEdgeFace("1",phd); |\\ + +\begin{center} +\input{Fig/translate01} +\end{center} \end{cmd} +%-------------Translatepoint3d------------------------------- +\begin{cmd}{Translatepoint3d}{translatepoint3d} -%-------------Sfbdparadata------------------------------- -\begin{cmd}{Sfbdparadata}{sfbdparadata} +\itemket{Usage}Translatepoint3d(coordinate,vector) +\itemket{Description}Return the translated coordinate for the point. +\itemket{Details}$\text{Translatepoint3d}([a_i],[v_i])=[a_i+v_i]$ +\itemket{Examples} \mbox{} -\itemket{Usage}Sfbdparadata(name, list, list of options) -\itemket{Description}Generic function to make the surface by performing hidden line processing. -\itemket{Details}Second argument is the list of equations and ranges same as the function "Sf3data". \\ -options1=no option or " "(space) or "r" or "m" and "Wait=integer". Default value of Wait is 20.\\ -No option or " "(space) means\\ -(1) If there exist no deta then it make a new data file.\\ -(2) If there exist deta then it read the data file.\\ -"m" means that it remake the new data file.\\ -"r" means that it reread the existing data file.\\ +\verb|Putpoint3d(["A",[1,0,0]]); |\\ +\verb|pt=Translatepoint3d(A3d,[-1,1,1]); |\\ +\verb|Putpoint3d(["B",pt]); | -option2="nodisp" or line type of hidden line. Default is "nodisp".\\ +\end{cmd} +% Others ================================== +\subsection{Others} +%--------------Perpplane------------------------------ +\begin{cmd}{Perpplane}{perpplane} -If we specify only option2 then we denote that option1 is empty list:[]. +\itemket{Usage}Perpplane(name, point, vector, option) +\itemket{Description}Generic function to return the two points on the plane which is passing through the point and orthogonal to the vector. +\itemket{Details}The name is the two points name such as the form "A-B".\\ +Point is the name or the coordinate of the point through which the plane is passing.\\ +The vector is the normal of the plane.\\ +If option is "put" then the function draw two geometric points. \itemket{Examples} \mbox{} -\verb|fd=["x=x^2-y^2","x=[-2,2]","y=[-2,2]"];|\\ -\verb|if(Isangle(),| //selecting the slider point, draw wire frame surfaces.\\ -\verb| Sf3data("1",fd);|\\ -\verb| ,|\\ -\verb| Startsurf();|\\ -\verb| Sfbdparadata("1",fd);|\\ -\verb| ExeccmdC("1",[],["nodisp"]);| //draw the surface\\ -\verb|);|\\ -(left figure)\\ +Return the points A,B on the plane which is passing through the point P and orthogonal to the vector [1,1,1]\\. +\verb|Perpplane("A-B","P",[1,1,1],"put");|\\ -\verb|ExeccmdC("1",["dr,2"],["do"]);| //the surface with thick line, hidden line with dotted line.\\ -(right figure) -\begin{center} \input{Fig/sfbdpara01} \input{Fig/sfbdpara02}\end{center} +Return the points A,B on the plane which is passing through the point P and orthogonal to the line segment OP. In this situation PA and PB is orthogonal and length of PA and PB are 1.\\. +\verb|Perpplane("A-B","P",P3d-O3d);|\\ + +Draw point A,B,C,D by draw tool of Cinderella. -\verb|fd=["z=4-(x^2+y^2)","x=R*cos(T)","y=R*sin(T)","R=[0,2]","T=[0,2*pi]","e"];|\\ -\ \ //"e"=east indicate the boundary line $R=2$, $0 < T < 2\pi$.\\ +\begin{layer}{120}{0} +\putnotese{100}{20}{ \input{Fig/perpplane}} +\end{layer} -\begin{center} \input{Fig/sfbdpara03} \input{Fig/sfbdpara04} \end{center} +\verb| Xyzax3data("","x=[-5,5]","y=[-5,5]","z=[-5,4]"); |\\ +\verb| Putpoint3d(["O",[0,0,0]]); |\\ +\verb| Putpoint3d(["P",[1,1,1]]); |\\ +\verb| Perpplane("E-F","P",P3d-O3d,"put"); |\\ +\verb| vec1=2*(E3d-P3d); |\\ +\verb| vec2=2*(F3d-P3d); |\\ +\verb| Putpoint3d(["A",P3d+vec1+vec2]); |\\ +\verb| Putpoint3d(["B",P3d+vec1-vec2]); |\\ +\verb| Putpoint3d(["C",P3d-vec1-vec2]); |\\ +\verb| Putpoint3d(["D",P3d-vec1+vec2]); |\\ +\verb| Spaceline("1",[A,B,C,D,A]); |\\ +\verb| Arrowdata([O,P],["dr,2"]); |\\ +\verb| Letter([P,"w","P",A,"ne","A",B,"e","B",C,"ws","C",D,"nw","D",]); |\\ +\verb| Skeletonparadata("1"); |\\ \end{cmd} -%-------------Skeletonparadata------------------------------- -\begin{cmd}{Skeletonparadata}{skeletonparadata} +%-------------Perppt------------------------------- +\begin{cmd}{Perppt}{perppt} -\itemket{Usage}Skeletonparadata(name, PDlist, PDlist, option) -\itemket{Description}Generic function to draw the lines by performing hidden line processing. -\itemket{Details}This function draw the second argument(the list of the lines) by performing hidden line processing which are hidden by the third argument(the list of the lines). If both arguments are omitted the function draw all lines by performing hidden line processing. +\itemket{Usage}Perppt(name, point, list of points, option) +\itemket{Description}Generic function to get the foot of a perpendicular for the plane from the point. +\itemket{Details}We specify the plane by the list of points.\\ +Option is the following.\\ +"draw": draw the point, don't make the geometric point(default).\\ +"put" : make the geometric point.\\ +"none": only make the data and don't draw. +\itemket{Examples} \mbox{} -Options:\\ -\hspace*{5mm}\verb|real number| gap of line\\ -\hspace*{5mm}\verb|"No=pointlist"| not executed when any point is selected\\ -\hspace*{5mm}\verb|"File=y/m/n(default:n)"| whether to make data file or not\\ -\hspace*{5mm}\verb|"Check=pointlist"| data file updated if any point is changed +We get the coordinate of the point H in the variable H3d for the following examples.\\ +\verb|Perppt("H","O","A-B-C","none");|\\ +\verb|Perppt("H","O","A-B-C");|\\ +\verb|Perppt("H","O","A-B-C","put");|\\ -\itemket{Examples} \mbox{} +Example -\verb| Xyzax3data("","x=[-5,5]","y=[-5,4]","z=[-5,3]");| //Data name is "ax3d".\\ -\verb| Putpoint3d(["A",[0,-2,-2]]);|\\ -\verb| Putpoint3d(["B",[-1,1,3]]);|\\ -\verb| Spaceline([A,B]);| //Data name is "AB3d".\\ -\verb| Spacecurve("1","[2*cos(t),2*sin(t),0.2*t]","t=[0,4*pi]",["Num=100"]);| //Data name is "sc3d1".\\ +\verb|Xyzax3data("","x=[-5,5]","y=[-5,5]","z=[-5,4]"); |\\ +\verb|Putpoint3d("O",[0,0,0]); |\\ +\verb|Putpoint3d("A",[3,0,0]); |\\ +\verb|Putpoint3d("B",[0,3,0]); |\\ +\verb|Putpoint3d("C",[0,0,3]); |\\ +\verb|Perppt("H","O","A-B-C","put"); |\\ +\verb|Spaceline("1",[A,B,C,A]); |\\ +\verb|Spaceline("2",[O,H]); |\\ +\verb|Letter([A,"nw","A",B,"ne","B",C,"ne","C",O,"nw","O",H,"ne","H"]); |\\ -\verb|Skeletonparadata("1");| //(left figure)\\ -\verb|Skeletonparadata("1",[2]);| //option\verb|=[2]|: gap of lines\verb|=2| (center figure)\\ -\verb|Skeletonparadata("1",["AB3d","ax3d"],["sc3d1"]);| //(right figure) -\begin{center} \input{Fig/skeletonparadata01} \input{Fig/skeletonparadata02} - \input{Fig/skeletonparadata03} \end{center} +\begin{center} \input{Fig/perppt} \end{center} \end{cmd} -%-------------Spacecurve------------------------------- -\begin{cmd}{Spacecurve}{spacecurve} +%---------------Projcoordpara----------------------------- +\begin{cmd}{Projcoordpara}{projcoordpara} -\itemket{Usage}Spacecurve(name, formula, domain, options) -\itemket{Description}Generic function to draw the space curve. +\itemket{Usage}Projcoordpara(3D-coordinate) +\itemket{Description}Generic function to get the projection coordinate on the Euclidean view coordinate system. \itemket{Examples} \mbox{} -\verb|Spacecurve("1","[2*cos(t),2*sin(t),0.2*t]","t=[0,4*pi]",["Num=100"]);|\\ -option=["Num=100"]: division number of the interval "t=[0,4*pi]" - \begin{center} \input{Fig/rasen} \end{center} + +\verb|println(Projcoordpara([3,1,2]));| //printed value is such as [-0.65, 1.7, 3.27] where the third element means the (signed) distance from the projection plane. \end{cmd} -%--------------Spaceline------------------------------ -\begin{cmd}{Spaceline}{spaceline} +%-------------Readobj------------------------------- +\begin{cmd}{Readobj}{readobj} -\itemket{Usage} Spaceline(name, list) -\itemket{Description}Generic function to draw the space polygonal lines. -\itemket{Details}Options are line type: "dr" or "da" or "do". +\itemket{Usage}Readobj(filename, option) +\itemket{Description}Read in the polyhedron data in the folder name \verb|polyhedrons_obj| +\itemket{Details}\mbox{} + +Data of all \verb|Johnson solid| can be downloaded from\\ +\hspace*{20mm}\url{http://mitani.cs.tsukuba.ac.jp/polyhedron/}\\ +Store the folder into the work folder of \ketcindy\ for example, and execute\\ +\verb| Setdirectory(gethome+"/ketcindy/polyhedrons_obj");|\\ +\verb| polydt=Readobj("r02.obj",["size=2"]);|\\ +\verb| Setdirectory(Dirwork);|\\ +Then the data of \verb|r02.obj| are assigned to the variable \verb|polydt|. + +Option is ["size=n"] then we get the magnification of n times. If n is negative value then we have the image of vertical inversion. \itemket{Examples} \mbox{} -\verb|Spaceline("1",[[2,5,1],[4,2,3]]);| //draw the line between two points\\ -\verb|Spaceline("2",[A,B,C,A]);| //draw the triangle ABC\\ +\verb|VertexEdgeFace("1",polydt);| //output data name is phf3d1\\ +\verb|Nohiddenbyfaces("1","phf3d1");| -\begin{layer}{150}{0} -\putnotese{100}{-5}{ \input{Fig/oresenex01}} -\end{layer} +\begin{center} \input{Fig/readobj} \end{center} -\verb|pt=[[2,0,0],[2,0,2],[2,2,2],[0,2,2],[0,4,2],[0,4,4]]; |\\ -\verb|Spaceline("1",pt); |\\ -\verb|Pointdata3d("1",pt,["Size=3"]);| +The main polyhedral data is as follows. + + \input{Fig/kobayashiE} -\vspace{30mm} \end{cmd} -%---------------Translatedata3d----------------------------- -\begin{cmd}{Translatedata3d}{translatedata3d} +%------------Xyzcoord-------------------------------- +\begin{cmd}{Xyzcoord}{xyzcoord} -\itemket{Usage}Translatedata3d(name, PD, vector) -\itemket{Description}Generic function to translate plotting data. -%\itemket{Details} +\itemket{Usage}\hspace{10mm} Xyzcoord(P.x, P.y, Pz.y) +\itemket{Description}Generic function to return the 3D-coordinate of the point P. +\itemket{Details}(P.x, P.y) is the coordinate of P in the mainarea and Pz.y is the y-coordinate of P in the subarea. \itemket{Examples} \mbox{} -The curve sc3d1 is translated by 2 in the y axis direction. -As a result, two curves parallel to the original curves are drawn. - -\verb|Translatedata3d("1",["sc3d1"],[0,2,0]);|\\ - -Since polygons drawn with VertexEdgeFace() can not be translated by this function, parallel movement is performed by directly manipulating the surface data. For example, to draw a regular octahedron using the polyhedron data obj of Kobayashi, Suzuki, and Mitani, do the following. This is the case of parallel movement by 2 in the y axis direction. +\verb|println(Xyzcoord(A.x,A.y,Az.y));| //print the 3D-coordinate of point A on the console. +\end{cmd} -\verb|Setdirectory( Dirhead+"/data/polyhedrons_obj"); |\\ -\verb|phd=Readobj("r02.obj",["size=2"]); |\\ -\verb|Setdirectory(Dirwork); |\\ -\verb|dn=length(phd_1); |\\ -\verb|repeat(dn,s,phd_1_s=phd_1_s+[0,2,0]); |\\ -\verb|VertexEdgeFace("1",phd); |\\ +%--------------Isangle------------------------------ +\begin{cmd}{Isangle}{isangle} -\begin{center} -\input{Fig/translate01} -\end{center} +\itemket{Usage}Isangle() +\itemket{Description}Decide the selection of the angle slider. +\itemket{Details}Returns ``true" if select slider, and ``false" if not.\\ +In drawing including hidden line processing, reaction is bad when recalculating while moving the viewpoint. With this function, you can write code that does not recalculate while moving the viewpoint. -\end{cmd} -%-------------Translatepoint3d------------------------------- -\begin{cmd}{Translatepoint3d}{translatepoint3d} +\itemket{Examples} \mbox{} -\itemket{Usage}Translatepoint3d(coordinate,vector) -\itemket{Description}Return the translated coordinate for the point. -\itemket{Details}$\text{Translatepoint3d}([a_i],[v_i])=[a_i+v_i]$ -\itemket{Examples} \mbox{} +\verb| fd=[ |\\ +\verb| "z=4-(x^2+y^2)",|\\ +\verb| "x=R*cos(T)","y=R*sin(T)",|\\ +\verb| "R=[0,2]","T=[0,2*pi]","e" \verb| ];|\\ +\verb| if(Isangle(),|\\ +\verb| Sf3data("1",fd);|\\ +\verb| ,|\\ +\verb| Startsurf();|\\ +\verb| Sfbdparadata("1",fd);|\\ +\verb| Crvsfparadata("1","ax3d","sfbd3d1",fd);|\\ +\verb| ExeccmdC("1");|\\ +\verb| );| -\verb|Putpoint3d(["A",[1,0,0]]); |\\ -\verb|pt=Translatepoint3d(A3d,[-1,1,1]); |\\ -\verb|Putpoint3d(["B",pt]); | \end{cmd} -%-------------Vertexedgeface------------------------------- -\begin{cmd}{Vertexedgeface}{vertexedgeface} +%--------------Dist3d------------------------------ -\itemket{Usage} VertexEdgeFace(name, list, options) -\itemket{Description}Generic function to draw the polyhedron. -\itemket{Details}We use the faces data of the polyhedron.\\ -The second argument is the list of vertexes list and the faces list.\\ -For example, the faces data of the tetrahedron is [[A,B,C,D],[[1,2,3],[1,2,4],[1,3,4],[2,3,4]]].\\ -%Option is the following.\\ +\begin{cmd}{Dist3d}{dist3d} +\itemket{Usage}Dist3d(a1,a2) +\itemket{Description}Generic function to get the 3D-distance of two points. \itemket{Examples} \mbox{} -\verb| Putpoint3d("A",2*[-1,-1/sqrt(3),0]); |\\ -\verb| Putpoint3d("B",2*[1,-1/sqrt(3),0]); |\\ -\verb| Putpoint3d("C",2*[0,sqrt(3)-1/sqrt(3),0]); |\\ -\verb| Putpoint3d("D",2*[0,0,sqrt(3)]); |\\ -\verb| phd=Concatobj([[A,B,C],[A,B,D],[A,C,D],[B,C,D]]); |\\ -\verb| VertexEdgeFace("1",phd); |\\ - //Three data lists are made, phv3d1:vertex, phe3d1:edge and phf3d1:face. - \begin{center} \input{Fig/vertex01} \end{center} -\end{cmd} -%-------------Wireparadata------------------------------- -\begin{cmd}{Wireparadata}{wireparadata} +Following three programs return the same result.\\ -\itemket{Usage} Wireparadata(name, PD, formula, integer, integer, options) -\itemket{Description}Generic function to draw the surface by wire frame data with performing hidden line processing. -\itemket{Details}The second argument PD is the surface data made by Sfbdparadata function.\\ -options=no option or " "(space) or "r" or "m" and "Wait=integer". Default value of Wait is 30.\\ -No option or " "(space) means\\ -(1) If there exist no deta then it make a new data file.\\ -(2) If there exist deta then it read the data file.\\ -"m" means that it remake the new data file.\\ -"r" means that it reread the existing data file.\\ +\verb| Dist3d("A","B"); |\\ +\verb| Dist3d(A,B); |\\ +\verb| Dist3d(A3d,B3d); | -\itemket{Examples} \mbox{} +\end{cmd} +%--------------Embed------------------------------ -\verb|fd=["z=x^2-y^2","x=[-2,2]","y=[-2,2]"]; |\\ -\verb|if(Isangle(), |\\ -\verb| Sf3data("1",fd); |\\ -\verb| , |\\ -\verb| Startsurf(); |\\ -\verb| Sfbdparadata("1",fd); | //We get the data named as "sfbd3d1".\\ -\verb| Wireparadata("1","sfbd3d1",fd,4,5,[""]); | //number of wires are 4 and 5.\\ -\verb| ExeccmdC("1"); | //draw the wires\\ -\verb|); | +\begin{cmd}{Embed}{embed} +\itemket{Usage}Embed(name,PDlist,formula,varlist) +\itemket{Description}Embed plotting data of 2D in plane of 3D. +\itemket{Details}PDlist is list of plotting data of 2D. Plane of 3D is given by formula and varlist. +\itemket{Examples} \mbox{} -\begin{center} -\input{Fig/wirepara1} -\end{center} +Embed an equilateral triangle and its circumscribed circle in a plane in 3D space. -Change the following code. +(1) \verb|vo|, \verb|vx|, \verb|vy| are defined with function {\tt \hyperlink{defvar}{Defvar}} that uses R.\\ +\verb|Xyzax3data("","x=[-5,4]","y=[-10,4]","z=[-5,5]",["a","O"]);|\\ +\verb|Spaceline("1",[[3,0,0],[3,6,0],[3,6,6],[3,0,6],[3,0,0]]);|\\ +\verb|Defvar("vo=[3,3,3]");| // Defined in R\\ +\verb|Defvar("vx=[0,1,0]");| // Defined in R\\ +\verb|Defvar("vy=[0,0,1]");| // Defined in R\\ +\verb|Putpoint3d(["A",[3,3,3]]);|\\ +\verb|Circledata("1",[[0,0],[2,0]],["nodisp"]);|\\ +\verb|Listplot("1",[[0,2],[-sqrt(3),-1],[sqrt(3),-1],[0,2]],["nodisp"]);|\\ +\verb|Embed("1",["cr1","sg1"],"vo+x*vx+y*vy","[x,y]");|\\ +\verb|Ptsize(3);|\\ +\verb|Drawpoint(A);| -\verb|fd=["z=4-(x^2+y^2)","x=r*cos(t)","y=r*sin(t)","r=[0,2]","t=[0,2*pi]","e"];|\\ -\verb|Wireparadata("1","sfbd3d1",fd,5,7,[""]);| +Following view is as \verb|TH|=75,\verb|FI|=70. + \begin{center} \input{Fig/embed01} \end{center} +(2) A, B, and C are defined instead of vo, vx, vy defined by Defvar. But, in this case, points B and C are not drawn in the plane. So, the figure may be difficult to understand.\\ +\verb|Putpoint3d(["A",[3,3,3],"B",[0,1,0],"C",[0,0,1]]);|\\ +\verb|Embed("1",["cr1","sg1"],"A3d+x*B3d+y*C3d","[x,y]");|\\ \begin{center} -\input{Fig/wirepara2} +\includegraphics[bb=0.00 0.00 477.02 383.02,width=8cm]{Fig/embed03.pdf} \end{center} +To draw the B and C on the embedded figure, code changes as follows. -\verb|fd=["p","x=2*sin(u)*cos(v)","y=2*sin(u)*sin(v)","z=2*cos(u)","u=[0,pi]", |\\ -\verb| "v=[0,2*pi]","s"]; |\\ -\verb|Wireparadata("1","sfbd3d1",fd,12,12,[""]); | - -\begin{center} -\input{Fig/wirepara3} -\end{center} +\verb|Putpoint3d(["A",[3,3,3],"B",[3,4,3],"C",[3,3,4]]);|\\ +\verb|Embed("1",["cr1","sg1"],"A3d+x*B3d+y*C3d","[x,y]");|\\ -\begin{layer}{150}{0} -\putnotese{90}{15}{ \input{Fig/wirepara4}} -\end{layer} +(3) The function {\tt \hyperlink{perpplane}{Perpplane}} is used in next.\\ +\verb|Xyzax3data("","x=[-5,5]","y=[-8,5]","z=[-5,5]");|\\ +\verb|Putpoint3d(["O",[0,0,0],"P",[1,1,2]]);|\\ +\verb|Perpplane("E-F","P",P3d-O3d,"put");|\\ +\verb|vec1=3*(E3d-P3d);|\\ +\verb|vec2=3*(F3d-P3d);|\\ +\verb|Putpoint3d(["A",P3d+vec1+vec2]);|\\ +\verb|Putpoint3d(["B",P3d+vec1-vec2]);|\\ +\verb|Putpoint3d(["C",P3d-vec1-vec2]);|\\ +\verb|Putpoint3d(["D",P3d-vec1+vec2]);|\\ +\verb|Spaceline("1",[A,B,C,D,A]);|\\ +\verb|Circledata("1",[[0,0],[2,0]],["nodisp"]);|\\ +\verb|Listplot("1",[[0,2],[-sqrt(3),-1],[sqrt(3),-1],[0,2]],["nodisp"]);|\\ +\verb|Embed("1",["cr1","sg1"],"P3d+x*(E3d-P3d)+y*(F3d-P3d)","[x,y]");|\\ +\verb|Ptsize(3);|\\ +\verb|Drawpoint(P);|\\ +\verb|Skeletonparadata("1");| + \begin{center} \input{Fig/embed02} \end{center} +\end{cmd} -\verb|fd=["p","x=2*sin(u)*cos(v)","y=2*sin(u)*sin(v)","z=2*cos(u)","u=[0,pi]",|\\ -\verb| "v=[0,2*pi]","s"];|\\ -\verb|if(Isangle(),|\\ -\verb| Sf3data("1",fd);|\\ -\verb| ,|\\ -\verb| Startsurf();|\\ -\verb| Sfbdparadata("1",fd);|\\ -\verb| Wireparadata("1","sfbd3d1",fd,12,12,[""]);|\\ -\verb| Crvsfparadata("1","ax3d","sfbd3d1",fd);|\\ -\verb| ret=ExeccmdC("1");|\\ -\verb| forall(1..length(ret),|\\ -\verb| if(indexof(ret_#,"wireh")>0,|\\ -\verb| Changestyle3d([ret_#],["nodisp"]);|\\ -\verb| );|\\ -\verb| );|\\ -\verb|);| -\vspace{\baselineskip} -\verb|fd=["p","x=(2+cos(u))*cos(v)","y=(2+cos(u))*sin(v)","z=sin(u)",|\\ -\verb| "u=[0,2*pi]","v=[0,2*pi]","s"];|\\ -\verb|Sfbdparadata("1",fd);|\\ -\verb|Wireparadata("1","sfbd3d1",fd,12,12,[""]); | +%-------------Parapt------------------------------- +\begin{cmd}{Parapt}{parapt(coordinate)} -\begin{center} \input{Fig/wirepara5} \end{center} +\itemket{Usage}Parapt(3D-coordinate) +\itemket{Description}Generic function to return the 2D-coordinate on the plane of projection for the 3D-point. +\itemket{Examples} \mbox{} +\verb|println(Parapt([2,1,5]));| \end{cmd} -%-------------Xyzax3data------------------------------- -\begin{cmd}{Xyzax3data}{xyzax3data} +%-------------Invparapt------------------------------- -\itemket{Usage} Xyzax3data(name, range of x, range of y, range of z, options) -\itemket{Description}Generic function to draw the coordinate axis. -\itemket{Details}Name can be null string.\\ -Options are the followings.\\ -"an": arrowhead, n is size.\\ -"Onesw": origin and its position. +\begin{cmd}{Invparapt}{invparapt} +\itemket{Usage}Invparapt(coordinate,PD) +\itemket{Description}Returns the point on the curve that is corresponding to the coordinates on the Euclidean view. +\itemket{Details}Returns the 3D-coordinates of the point on the curve(\verb|PD|) from the \verb|coordinate| on the Euclidean view. \itemket{Examples} \mbox{} -\verb|Xyzax3data("","x=[-5,5]","y=[-5,5]","z=[-5,5]");|\\ -\verb|Xyzax3data("","x=[-5,5]","y=[-5,5]","z=[-5,5]","a");| //arrowhead\\ -\verb|Xyzax3data("","x=[-5,5]","y=[-5,5]","z=[-5,5]",["a2"]);| //big arrowhead\\ -\verb|Xyzax3data("","x=[-5,5]","y=[-5,5]","z=[-5,5]",["O"]);|\\ -\verb|Xyzax3data("","x=[-5,5]","y=[-5,5]","z=[-5,5]",["a","Oe2n2"]);| //set origin upper right +Find on the screen (not in the space) intersection points (\verb|tmp_1|, \verb|tmp_2|, $\dots$) of the spiral curve and the space line. Draw a part of the spiral whose end points (\verb|p1| and \verb|p2|) are selected from the intersection points.\\ +\verb| Spaceline("1",[[-1,-1,-1],[1,2,3]]); |\\ +\verb| Spacecurve("1","[2*cos(t),2*sin(t),0.2*t]","t=[0,4*pi]",["do"]);|\\ +\verb| tmp=Intersectcrvs("sl2d1","sc2d1");|\\ +\verb| p1=Invparapt(tmp_1,"sc3d1");|\\ +\verb| p2=Invparapt(tmp_2,"sc3d1");|\\ +\verb| Partcrv3d("1",p1,p2,"sc3d1"); |\\ +\begin{center} \input{Fig/invparapt} \end{center} +\end{cmd} +%-----------Expr3d--------------------------------- +\begin{cmd}{Expr3D}{expr3d} +\itemket{Usage}Expr([position, direction, string],options) +\itemket{Description}Display the string. +\itemket{Details} The position is the space coordinate. Other than that it is the same as Expr(). \end{cmd} -%------------Xyzcoord-------------------------------- -\begin{cmd}{Xyzcoord}{xyzcoord} -\itemket{Usage}\hspace{10mm} Xyzcoord(P.x, P.y, Pz.y) -\itemket{Description}Generic function to return the 3D-coordinate of the point P. -\itemket{Details}(P.x, P.y) is the coordinate of P in the mainarea and Pz.y is the y-coordinate of P in the subarea. +%-----------Letter3d--------------------------------- +\begin{cmd}{Letter3D}{letter3d} +\itemket{Usage}Letter([position, direction, string],options) +\itemket{Description}Display the string. +\itemket{Details} The position is the space coordinate. Other than that it is the same as Letter(). \itemket{Examples} \mbox{} -\verb|println(Xyzcoord(A.x,A.y,Az.y));| //print the 3D-coordinate of point A on the console. -\end{cmd} +\begin{layer}{150}{0} +\putnotese{110}{10}{ \input{Fig/letter3d}} +\end{layer} + +\verb|Putpoint3d("A",2*[0,0,2*sqrt(6)/3]);|\\ +\verb|Putpoint3d("B",2*[1,-1/sqrt(3),0]);|\\ +\verb|Putpoint3d("C",2*[0,sqrt(3)-1/sqrt(3),0]);|\\ +\verb|Putpoint3d("D",2*[-1,-1/sqrt(3),0]);|\\ +\verb|Putpoint3d("M",(B3d+C3d)/2);|\\ +\verb|phd=Concatobj([[A,B,C],[A,B,D],[A,C,D],[B,C,D]]);|\\ +\verb|VertexEdgeFace("1",phd);|\\ +\verb|Spaceline("1",[A,M,D]);|\\ +\verb|Nohiddenbyfaces("1","phf3d1");|\\ +\verb|Letter3d([A3d,"ne","A",B3d,"w","B",C3d,"se","C",D3d,"e","D"]);|\\ +\verb|Letter3d(M3d,"sw","M",["Color=blue"]);|\\ + +\end{cmd} \newpage %-==Appendix ======================== @@ -5259,6 +5585,7 @@ Options are the followings.\\ \hyperlink{fontsize}{Fontsize} \> define the font size in the \TeX\ figure.\\ \hyperlink{ketinit}{Ketinit} \> initialize \ketcindy.\\ \hyperlink{ptsize}{Ptsize} \> set the size of points.\\ +\hyperlink{setarrow}{Setarrow} \> set the style of arrow.\\ \hyperlink{setax}{Setax} \> set the style of axis.\\ \hyperlink{setcolor}{Setcolor} \> set the color of figures and characters in the \TeX\ figure.\\ \hyperlink{setfiles}{Setfiles} \> set the name of texfile.\\ @@ -5289,7 +5616,7 @@ Options are the followings.\\ \hyperlink{deqplot}{Deqplot} \> draw the solution curve of a differential equation.\\ \hyperlink{dotfilldata}{Dotfilldata} \> fill a domain with dots.\\ \hyperlink{drwpt}{Drawppoint} \> draw a point. \\ -\hyperlink{drwpt}{Drwpt} \> draw a point. \\ +%\hyperlink{drwpt}{Drwpt} \> draw a point. \\ \hyperlink{drawsegmark}{Drawsegmark} \> Add a mark to a segment. \\ \hyperlink{ellipseplot}{Ellipseplot} \> draw ellipse.\\ \hyperlink{enclosing}{Enclosing} \> make a closed curve form the list of plotting data.\\ @@ -5327,8 +5654,6 @@ Options are the followings.\\ \hyperlink{putonline}{PutonLine} \> put a point on the line.\\ \hyperlink{putonSeg}{Putonseg} \> put a point on the segment.\\ \hyperlink{putpoint}{Putpoint} \> put a point.\\ -\hyperlink{readcsv}{Readcsv} \> read a file in csv format.\\ -\hyperlink{readlines}{Readlines} \> read a text file line by line.\\ \hyperlink{reflectdata}{Reflectdata} \> draw a reflective curve.\\ \hyperlink{reflectpoint}{Reflectpoint} \> return the reflect point.\\ \hyperlink{rotatedata}{Rotatedata} \> rotate plotting data.\\ @@ -5362,6 +5687,8 @@ Options are the followings.\\ \hyperlink{pointoncurve}{Pointoncurve} \> point which has the parameter value\\ \hyperlink{ptstart, ptend}{Ptstart, Ptend} \> returns start point and end point of PD.\\ \hyperlink{ptcrv}{Ptcrv} \> Returns n-th point from PD.\\ +\hyperlink{readcsv}{Readcsv} \> read a file in csv format.\\ +\hyperlink{readlines}{Readlines} \> read a text file line by line.\\ \hyperlink{readoutdata}{ReadOutData} \> read external data.\\ \hyperlink{sqr}{Sqr} \> return square root.\\ \hyperlink{writeoutdata}{WriteOutData} \> write out data in \ketcindy\ format.\\ @@ -5452,16 +5779,17 @@ Options are the followings.\\ \hyperlink{drawpoint3d}{Drawpoint3d} \> draw 3D-points.\\ \hyperlink{embed}{Embed} \> embed plotting data of 2D in plane of 3D.\\ \hyperlink{execcmdc}{ExeccmdC} \> draw 3D-surface.\\ +\hyperlink{expr3d}{Expr3d} \> display the string.\\ \hyperlink{intersectcrvsf}{Intersectcrvsf} \> return a list of intersects of a curve and curved face.\\ \hyperlink{intersectsgpL}{IntersectsgpL} \>return a intersection of a line segment and plane.\\ \hyperlink{invparapt}{Invparapt} \> return the point on the curve.\\ \hyperlink{ketinit3d}{Ketinit3d} \> declare the use of KeTCindy3D\\ +\hyperlink{letter3d}{Letter3d} \> display the string.\\ \hyperlink{mkbezierptcrv3d}{Mkbezierptcrv3d} \> draw a cubic Bezier curve from nodes.\\ \hyperlink{nohiddenbyfaces}{Nohiddenbyfaces} \> draw hidden lines by the surfaces.\\ \hyperlink{parapt}{Parapt} \> return the 2D-coodinate on the plane.\\ \hyperlink{partcrv3d}{Partcrv3d} \> draw the part curve of the curve PD.\\ -\hyperlink{perpplane}{Perpplane} \> return the two points which is passing through the point and\\ -\>orthogonal to the vector.\\ +\hyperlink{perpplane}{Perpplane} \> create a basic vector on a vertical plane\\ \hyperlink{perppt}{Perppt} \> get the foot of a perpendicular for the plane from the point.\\ \hyperlink{phparadata}{Phparadata} \> draw the polyhedron by performing hidden line processing.\\ \hyperlink{pointdata3d}{Pointdata3d} \> generate data of point list.\\ @@ -5479,6 +5807,7 @@ Options are the followings.\\ \hyperlink{scalepoint3d}{Scalepoint3d} \> execute scale transformation for the coordinate of the point.\\ \hyperlink{sf3data}{Sf3data} \> draw the wire frame model of the surface.\\ \hyperlink{sfbdparadata}{Sfbdparadata} \> draw the surface by performing hidden line processing.\\ +\hyperlink{sfcutparadatacdy}{Sfcutparadatacdy} \> Display intersection line of surface and surface.\\ \hyperlink{skeletonparadata}{Skeletonparadata} \> draw the lines by performing hidden line processing.\\ \hyperlink{spacecurve}{Spacecurve} \> draw the space curve.\\ \hyperlink{spaceline}{Spaceline} \> draw the space polygonal lines.\\ diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/KeTCindyReferenceJ.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/KeTCindyReferenceJ.tex index 933210c7afe..815762ae62c 100644 --- a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/KeTCindyReferenceJ.tex +++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/KeTCindyReferenceJ.tex @@ -51,8 +51,6 @@ \vspace{\baselineskip} 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€‚(\hyperlink{setscaling}{Setscaling()}ã®é …å‚ç…§) -%\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} - \vspace{\baselineskip} \hypertarget{setfiles}{} \item[関数] Setfiles(filename） @@ -176,25 +174,15 @@ Parent ボタンã§å‡ºåŠ›ã™ã‚‹ãƒ•ã‚¡ã‚¤ãƒ«å㯠åˆæœŸè¨å®šãŒãªã„ã®ã§ï¼Œ 7. 原点åã®ä½ç½® åˆæœŸè¨å®šã¯ \verb|"sw"| -<<<<<<< HEAD 8. 線種 -9. 色 +9. ç·šã®è‰² -10. æ–‡å—ã®è‰² +10. ラベルã®è‰² ãã‚Œãžã‚Œãƒ€ãƒ–ルクウォートã§ããる。色ã¯ï¼Œè‰²åãŒä½¿ãˆã‚‹ã€‚"red" ãªã©ã€‚ 10ã®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。 -======= -8. 線スタイル - -9. ç·šã®è‰² ->>>>>>> 8640fc8c8ce40892b14715d7a28d85d1079ee61b - -10.ラベルã®è‰² - -n番目以é™ã‚’指定ã™ã‚‹å ´åˆã¯ï¼Œ[n,"内容"]ã§æŒ‡å®šã§ãる。 ã¾ãŸï¼Œå¾Œæ–¹ã¯çœç•¥ã§ãる。 @@ -232,13 +220,13 @@ options ã¯æ¬¡ã®ãƒªã‚¹ãƒˆã§ã‚る。\\ \begin{verbatim} Setax([7,"se"]); Setpt(5); - Drwpt([-pi,0],0); + Pointdata("1",[[-pi,0]],["Inside=0"]); Drwxy(); Plotdata("1","sin(x)","x",["dr","Num=200"]); - Drwpt([pi,0],0); + Pointdata("2",[[pi,0]],["Inside=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€‚\\ + ã“ã®ã‚¹ã‚¯ãƒªãƒ—トã§ã¯ï¼Œ\verb| Pointdata("1",[[-pi,0]],["Inside=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‚‰ï¼Œå†ã³ \verb| ["Inside=0"]);|ã«ã—ã¦å®Ÿè¡Œã™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€‚\\ \begin{center} \input{Fig/drwxy}\end{center} @@ -354,8 +342,7 @@ Plotdata("1","f(x)","x"); ã€ä¾‹ã€‘作図ツールã®ã€Œç‚¹ã‚’åŠ ãˆã‚‹ã€ã§ï¼ŒA〜Gã®ç‚¹ã‚’ã¨ã£ã¦ãŠã。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]); + Pointdata("1",[A,B,C,D,E,F,G],["Size=2"]); Fontsize("t"); Letter([A,"s2","A"]); Fontsize("ss"); Letter([B,"s2","B"]); Fontsize("s"); Letter([C,"s2","C"]); @@ -420,13 +407,12 @@ Plotdata("1","f(x)","x"); \begin{verbatim} Setorigin([3,2]); Listplot([A,B,C,A]); - Ptsize(3); - Drawpoint([1,1]); + Pointdata("1",[1,1],["Size=3"]); Letter([[1,1],"s2","P"]); \end{verbatim} å·¦ãŒå®Ÿè¡Œæ™‚ã®Cinderellaã®ç”»é¢ï¼Œå³ãŒ\TeX ã®çµæžœã€‚\\ -\hspace{10mm} \includegraphics[bb=0 0 227 205 , width=4cm]{Fig/setorigin.pdf} \input{Fig/setorigin} +\hspace{10mm} \includegraphics[bb=0 0 299.02 250.01, width=4cm]{Fig/setorigin.pdf} \input{Fig/setorigin} \vspace{\baselineskip} \hypertarget{setpen}{} @@ -511,7 +497,7 @@ Plotdata("1","f(x)","x"); ã§ã‚る。 -nameã¯ï¼Œãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã®å称ã§ï¼Œé–¢æ•°ã”ã¨ã«æ±ºã‚られãŸé 部ã®ã‚ã¨ã«ä»˜ã‘られる。ãŸã¨ãˆã°ï¼Œç·šåˆ†ã‚’æã Listplot() ã§ã§ãるプãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã¯ï¼Œé 部ãŒ"sg"ã§ã‚り，nameã‚’"1"ã¨ã™ã‚Œã°ï¼Œ"sg1" ã¨ã„ã†å称ã®ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ãŒã§ãる。name指定ã¯ä¸è¦ã®å ´åˆã‚‚ã‚り，ãã®å ´åˆã¯ \ketcindy ãŒè‡ªå‹•çš„ã«å称を作æˆã™ã‚‹ã€‚ +nameã¯ï¼Œãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã®å称ã§ï¼Œé–¢æ•°ã”ã¨ã«æ±ºã‚られãŸé 部ã®ã‚ã¨ã«ä»˜ã‘られる。ãŸã¨ãˆã°ï¼Œç·šåˆ†ã‚’æã Listplot() ã§ã§ãるプãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã¯ï¼Œé 部ãŒ"sg"ã§ã‚り，nameã‚’"1"ã¨ã™ã‚Œã°ï¼Œ"sg1" ã¨ã„ã†å称ã®ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ãŒã§ãる。name指定ã¯ä¸è¦ã®å ´åˆã‚‚ã‚り，ãã®å ´åˆã¯ \ketcindy ãŒè‡ªå‹•çš„ã«å称を作æˆã™ã‚‹ã€‚ãªãŠï¼Œname ã«æ¼”算記å·ã¯ä½¿ãˆãªã„ã®ã§ï¼Œç•ªå·ã¨ã—ã¦è² ã®æ•°ã¯ä½¿ãˆãªã„。 点リストãªã©ã«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。 @@ -562,7 +548,17 @@ optionsã¯ï¼Œç·šç¨®ãƒ»è¡¨ç¤ºã™ã‚‹æ–‡å—列・解åƒåº¦ãƒ»å‡ºåŠ›ã®æœ‰ç„¡ãªã©ã \hypertarget{pointdata}{} \item[関数] Pointdata(name , 点リスト , options) \item[機能] 点ã®ãƒ‡ãƒ¼ã‚¿ã‚’作æˆã™ã‚‹ã€‚ -\item[説明] 与ãˆã‚‰ã‚ŒãŸåº§æ¨™ã®ç‚¹ãƒ‡ãƒ¼ã‚¿ã‚’作æˆã™ã‚‹ã€‚オプションã¯"Size=","Color="。 +\item[説明] 与ãˆã‚‰ã‚ŒãŸåº§æ¨™ã®ç‚¹ãƒ‡ãƒ¼ã‚¿ã‚’作æˆã™ã‚‹ã€‚オプションã¯"Size=","Color=","Inside"。 + +Inside オプションã¯ï¼Œç‚¹ã®å†…部ã«ã¤ã„ã¦ã®æŒ‡å®šã€‚ãŸã ã—，Cinderellaã®æç”»é¢ã«ã¯åæ˜ ã•ã‚Œãªã„。 + +0 : 白抜ã + +0ã‹ã‚‰ï¼‘ã¾ã§ : 濃度 + +-1 : 塗らãªã„ + +カラーコードã¾ãŸã¯è‰²å : ãã®è‰²ã§å¡—ã‚‹ \vspace{\baselineskip} ã€ä¾‹ã€‘ @@ -585,7 +581,7 @@ optionsã¯ï¼Œç·šç¨®ãƒ»è¡¨ç¤ºã™ã‚‹æ–‡å—列・解åƒåº¦ãƒ»å‡ºåŠ›ã®æœ‰ç„¡ãªã©ã (4) 点データを作り，TeXã«ã‚ªãƒ—ション0（白抜ã）ã§æã -\hspace{10mm} \verb|Pointdata("1",[A,B],[0]);| +\hspace{10mm} \verb|Pointdata("1",[A,B],["Inside=0"]);| (5) 点データを作るãŒï¼ŒTeXã«ã¯å‡ºåŠ›ã—ãªã„ @@ -610,50 +606,47 @@ optionsã¯ï¼Œç·šç¨®ãƒ»è¡¨ç¤ºã™ã‚‹æ–‡å—列・解åƒåº¦ãƒ»å‡ºåŠ›ã®æœ‰ç„¡ãªã©ã %\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} -\vspace{\baselineskip} -\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€‚ +%\vspace{\baselineskip} +%\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。 -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„。 +%複数ã®ç‚¹ã®å ´åˆã¯åº§æ¨™ã¾ãŸã¯è˜åˆ¥åã¯ãƒªã‚¹ãƒˆã§ä¸Žãˆã‚‹ã€‚ -å¯èªæ€§ã‚’高ã‚ã‚‹ã¨ãã¯Drawpointを推奨ã™ã‚‹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„。 -\vspace{\baselineskip} -ã€ä¾‹ã€‘座標(1,1)ã¨(4,3)ã«ç‚¹ã‚’表示ã™ã‚‹ã€‚Cinderellaã®æç”»é¢ã«ã¯æã‹ã‚Œãªã„。 +%å¯èªæ€§ã‚’高ã‚ã‚‹ã¨ãã¯Drawpointを推奨ã™ã‚‹ã€‚ -\hspace{10mm} \verb|Drwpt([[1,1],[4,3]]);| +%\vspace{\baselineskip} +%ã€ä¾‹ã€‘座標(1,1)ã¨(4,3)ã«ç‚¹ã‚’表示ã™ã‚‹ã€‚Cinderellaã®æç”»é¢ã«ã¯æã‹ã‚Œãªã„。 -\vspace{\baselineskip} -ã€ä¾‹ã€‘Cinderellaã§ç‚¹A,B,Cを作図ã—ã¦ãŠã，\TeX ã§è¡¨ç¤ºã™ã‚‹ã€‚ +%\hspace{10mm} \verb|Drwpt([[1,1],[4,3]]);| -\hspace{10mm} \verb|Drwpt([A,B,C]); | +%\vspace{\baselineskip} +%ã€ä¾‹ã€‘Cinderellaã§ç‚¹A,B,Cを作図ã—ã¦ãŠã，\TeX ã§è¡¨ç¤ºã™ã‚‹ã€‚ -\vspace{\baselineskip} -ã€ä¾‹ã€‘線分ABã®å³ç«¯ï¼ˆB）を白抜ãã§è¡¨ç¤ºã™ã‚‹ +%\hspace{10mm} \verb|Drwpt([A,B,C]); | -\begin{layer}{150}{0} -\putnotese{50}{8}{ \input{Fig/drawpoint}} -\end{layer} -\begin{verbatim} - Ptsize(5); - Listplot([A,B]); - Drawpoint(B,0); -\end{verbatim} +%\vspace{\baselineskip} +%ã€ä¾‹ã€‘線分ABã®å³ç«¯ï¼ˆB）を白抜ãã§è¡¨ç¤ºã™ã‚‹ -※ Drawpoint([A,B],0); ã¨ã™ã‚Œã°ï¼Œä¸¡ç«¯ãŒç™½æŠœãã«ãªã‚‹ã€‚ +%\begin{layer}{150}{0} +%\putnotese{50}{8}{ \input{Fig/drawpoint}} +%\end{layer} +%\begin{verbatim} + % Ptsize(5); +% Listplot([A,B]); +% Drawpoint(B,0); +%\end{verbatim} -\vspace{\baselineskip} -{\bf 点ã®è¡¨ç¤ºæ–¹æ³•} +%※ Drawpoint([A,B],0); ã¨ã™ã‚Œã°ï¼Œä¸¡ç«¯ãŒç™½æŠœãã«ãªã‚‹ã€‚ -点を表示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¨å°‘ã—ãšã¤æ„味ãŒç•°ãªã‚‹ã€‚ +%\vspace{\baselineskip} +%{\bf 点ã®è¡¨ç¤ºæ–¹æ³•} -付録ã®ã€Œ\hyperlink{mkpttable}{点ã®ä½œå›³ã«ã¤ã„ã¦ã®æ¯”較表}ã€ã‚’å‚ç…§ã®ã“ã¨ã€‚ -\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} +%\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} \vspace{\baselineskip} \hypertarget{putpoint}{} @@ -1863,14 +1856,14 @@ Dis オプションã«ã‚ˆã‚Šï¼Œå€¤ãŒã‚¸ãƒ£ãƒ³ãƒ—ã™ã‚‹ä¸é€£ç¶šç‚¹ã‚’ç·šã§çµã ã€ä¾‹ã€‘ã‚¬ã‚¦ã‚¹è¨˜å· [$x$] ã§è¡¨ã•ã‚Œã‚‹é–¢æ•°ï¼ˆåºŠé–¢æ•° : floor()）ã®ã‚°ãƒ©ãƒ•ã€‚ \begin{verbatim} Plotdata("1","floor(x)","x",["Num=100","Dis=0.9"]); - Ptsize(3); Drwxy(); repeat(7,s,start -> -2, - Drwpt([s+1,s],0); + Pointdata(text(s+3),[s+1,s],["Inside=0","Size=3"]); ); \end{verbatim} \hspace{40mm}\input{Fig/plotdata5} +ãªãŠï¼Œã“ã“ã§ï¼ŒPointdata() ã®name ã‚’ text(s+3) ã¨ã—ã¦ã„ã‚‹ã®ã¯ï¼Œs㌠-2 ã‹ã‚‰å§‹ã¾ã‚‹ã®ã§ï¼Œname ã¯1ã‹ã‚‰å§‹ã¾ã‚‹ã‚ˆã†ã«ã™ã‚‹ãŸã‚ã§ã‚る。name ã«è² ã®æ•°ã¯ä½¿ãˆãªã„ã®ã§ã€‚ \vspace{\baselineskip} 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‹ï¼ŒDefvar ã§å¤‰æ•°ã‚’定義ã™ã‚‹ã€‚ @@ -3003,8 +2996,7 @@ Intersectcrvs() ã¨ã®é•ã„ã¯ï¼Œãƒ‘ラメータãŒã‚ã‚‹ã‹ã©ã†ã‹ã§ã‚ã‚‹ã A.xy=plist_1; B.xy=plist_3; Listplot([A,B],["do"]); - Ptsize(2); - Drwpt([A,B]); + Pointdata("1",[A,B],["Size=2"]); Letter([A,"n2w","A",B,"s2e","B",(A+B)/2,"e",text(plist_5)]); \end{verbatim} @@ -3198,6 +3190,50 @@ KeTCindyå½¢å¼ã®ãƒ‡ãƒ¼ã‚¿ã¨ã¯ ã®å½¢å¼ã®ãƒ†ã‚ストファイル。 +\hypertarget{readcsv}{} +\item[関数] Readcsv(path,filename,option) +\item[機能] csvファイルをèªã‚€ã€‚ +\item[説明] csvファイルをèªã¿ã“む。戻り値ã¯èªã¿è¾¼ã‚“ã データã®ãƒªã‚¹ãƒˆã€‚ + +第１引数㮠path ã¯ï¼Œãƒ•ã‚¡ã‚¤ãƒ«ã‚’作æ¥ãƒ•ã‚©ãƒ«ãƒ€ï¼ˆ åˆæœŸè¨å®šã¯ fig ）ã«ç½®ã„ãŸå ´åˆã¯çœç•¥ã™ã‚‹ã“ã¨ãŒã§ãる。ãã†ã§ãªã„å ´åˆã¯ï¼Œãƒ•ãƒ«ãƒ‘スã§æŒ‡å®šã™ã‚‹ã€‚ãŸã¨ãˆã°ï¼Œ"/Users/Hoge/Desktop" + +option ã¯ï¼Œ"Flat=" ã§ï¼Œ"Flat=y" ã®å ´åˆã¯ï¼Œèªã¿è¾¼ã‚“ã データをリスト化ã—ãŸã¨ãã«å¹³æ»‘化（１次元ã®ãƒªã‚¹ãƒˆï¼‰ã«ã™ã‚‹ã€‚ åˆæœŸè¨å®šã¯ "Flat=n" + +ã€ä¾‹ã€‘次ã®ã‚ˆã†ãªCSVファイル sample.csvã‚’èªã¿è¾¼ã‚€ã¨ã™ã‚‹ã€‚ + +\begin{verbatim} + 12,14,15,18,13 + 9,13,17,21 +\end{verbatim} + +ã¤ã¾ã‚Šï¼Œï¼’行分ã®ãƒ‡ãƒ¼ã‚¿ã§ã‚る。 + +\begin{verbatim} + data=Readcsv("sample.csv"); +\end{verbatim} + +ã¨ã™ã‚‹ã¨ï¼Œ +\begin{verbatim} + data=[[12,14,15,18,13],[9,13,17,21]] +\end{verbatim} + +ã¨ãªã‚‹ã€‚ + +ã—ãŸãŒã£ã¦ï¼Œï¼‘行目ã®ãƒ‡ãƒ¼ã‚¿ã ã‘å–り出ã—ãŸã„å ´åˆã¯ + +\begin{verbatim} + dt1=data_1; +\end{verbatim} + +ã¨ã™ã‚‹ã€‚ + +\hypertarget{readlines}{} +\item[関数] Readlines(path,filename,option) +\item[機能] テã‚ストファイルを1è¡Œãšã¤èªã‚€ã€‚ +\item[説明] テã‚ストファイルを1è¡Œãšã¤èªã¿ã“む。戻り値ã¯èªã¿è¾¼ã‚“ã æ–‡å—列ã®ãƒªã‚¹ãƒˆã€‚ + +第１引数㮠path ã¯ï¼Œãƒ•ã‚¡ã‚¤ãƒ«ã‚’作æ¥ãƒ•ã‚©ãƒ«ãƒ€ï¼ˆ åˆæœŸè¨å®šã¯ fig ）ã«ç½®ã„ãŸå ´åˆã¯çœç•¥ã™ã‚‹ã“ã¨ãŒã§ãる。ãã†ã§ãªã„å ´åˆã¯ï¼Œãƒ•ãƒ«ãƒ‘スã§æŒ‡å®šã™ã‚‹ã€‚ãŸã¨ãˆã°ï¼Œ"/Users/Hoge/Desktop" + \vspace{\baselineskip} \hypertarget{writeoutdata}{} \item[関数] WriteOutData(ファイルå,PDリスト） @@ -3315,6 +3351,9 @@ end//// println(Integrate("gr1",[0,3])); \end{verbatim} +数値ç©åˆ†ã§ã¯ãªã，数å¼å‡¦ç†ã¨ã—ã¦å®šç©åˆ†ã®å€¤ã‚’求ã‚ã‚‹å ´åˆã¯ï¼ŒMaxima を利用ã™ã‚‹ã€‚\hyperlink{calcbyM}{CalcbyM} +ã‚’å‚照。 + \vspace{\baselineskip} \hypertarget{inversefun}{} \item[関数] Inversefun(関数 , 範囲 , 値) @@ -4408,50 +4447,6 @@ PlotdiscR("3","dgeom(k,0.3)","k=[0,10]"); %\vspace{\baselineskip} \begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} -\hypertarget{readcsv}{} -\item[関数] Readcsv(path,filename,option) -\item[機能] csvファイルをèªã‚€ã€‚ -\item[説明] csvファイルをèªã¿ã“む。戻り値ã¯èªã¿è¾¼ã‚“ã データã®ãƒªã‚¹ãƒˆã€‚ - -第１引数㮠path ã¯ï¼Œãƒ•ã‚¡ã‚¤ãƒ«ã‚’作æ¥ãƒ•ã‚©ãƒ«ãƒ€ï¼ˆ åˆæœŸè¨å®šã¯ fig ）ã«ç½®ã„ãŸå ´åˆã¯çœç•¥ã™ã‚‹ã“ã¨ãŒã§ãる。ãã†ã§ãªã„å ´åˆã¯ï¼Œãƒ•ãƒ«ãƒ‘スã§æŒ‡å®šã™ã‚‹ã€‚ãŸã¨ãˆã°ï¼Œ"/Users/Hoge/Desktop" - -option ã¯ï¼Œ"Flat=" ã§ï¼Œ"Flat=y" ã®å ´åˆã¯ï¼Œèªã¿è¾¼ã‚“ã データをリスト化ã—ãŸã¨ãã«å¹³æ»‘化（１次元ã®ãƒªã‚¹ãƒˆï¼‰ã«ã™ã‚‹ã€‚ åˆæœŸè¨å®šã¯ "Flat=n" - -ã€ä¾‹ã€‘次ã®ã‚ˆã†ãªCSVファイル sample.csvã‚’èªã¿è¾¼ã‚€ã¨ã™ã‚‹ã€‚ - -\begin{verbatim} - 12,14,15,18,13 - 9,13,17,21 -\end{verbatim} - -ã¤ã¾ã‚Šï¼Œï¼’行分ã®ãƒ‡ãƒ¼ã‚¿ã§ã‚る。 - -\begin{verbatim} - data=Readcsv("sample.csv"); -\end{verbatim} - -ã¨ã™ã‚‹ã¨ï¼Œ -\begin{verbatim} - data=[[12,14,15,18,13],[9,13,17,21]] -\end{verbatim} - -ã¨ãªã‚‹ã€‚ - -ã—ãŸãŒã£ã¦ï¼Œï¼‘行目ã®ãƒ‡ãƒ¼ã‚¿ã ã‘å–り出ã—ãŸã„å ´åˆã¯ - -\begin{verbatim} - dt1=data_1; -\end{verbatim} - -ã¨ã™ã‚‹ã€‚ - -\hypertarget{readlines}{} -\item[関数] Readlines(path,filename,option) -\item[機能] テã‚ストファイルを1è¡Œãšã¤èªã‚€ã€‚ -\item[説明] テã‚ストファイルを1è¡Œãšã¤èªã¿ã“む。戻り値ã¯èªã¿è¾¼ã‚“ã æ–‡å—列ã®ãƒªã‚¹ãƒˆã€‚ - -第１引数㮠path ã¯ï¼Œãƒ•ã‚¡ã‚¤ãƒ«ã‚’作æ¥ãƒ•ã‚©ãƒ«ãƒ€ï¼ˆ åˆæœŸè¨å®šã¯ fig ）ã«ç½®ã„ãŸå ´åˆã¯çœç•¥ã™ã‚‹ã“ã¨ãŒã§ãる。ãã†ã§ãªã„å ´åˆã¯ï¼Œãƒ•ãƒ«ãƒ‘スã§æŒ‡å®šã™ã‚‹ã€‚ãŸã¨ãˆã°ï¼Œ"/Users/Hoge/Desktop" - \vspace{\baselineskip} \hypertarget{scatterplot}{} \item[関数] Scatterplot(name,filename/datalist,option1,option2) @@ -4576,7 +4571,7 @@ Maximaã¯æ•°å¼å‡¦ç†ã‚½ãƒ•ãƒˆã§ï¼Œ\ketcindy ã«ãŠã„ã¦ã¯å¾®ç©åˆ†ã®è¨ˆç®—ã \vspace{\baselineskip} $f(x)=\dfrac{e^x+e^{-x}}{2}$ 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€‚ +Maximaã§ãã®å‡¦ç†ã‚’è¡Œã†ã‚³ãƒžãƒ³ãƒ‰ã‚’定義ã—，CalcbyMã§å®Ÿè¡Œã™ã‚‹ã€‚ \begin{verbatim} fx="(exp(x)+exp(-x))/2"; cmdL=[ @@ -4594,7 +4589,7 @@ Maximaã§ãã®å‡¦ç†ã‚’è¡Œã†ã‚³ãƒžãƒ³ãƒ‰ã‚’定義ã—，CalbyMã§å®Ÿè¡Œã™ã‚‹ã€ (%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。 + ã“ã®ï¼ŒCalcbyMã®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"); @@ -4635,12 +4630,22 @@ Maximaã§ãã®å‡¦ç†ã‚’è¡Œã†ã‚³ãƒžãƒ³ãƒ‰ã‚’定義ã—，CalbyMã§å®Ÿè¡Œã™ã‚‹ã€ 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„。 -%\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} -%\vspace{\baselineskip} -%\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€‚ +\vspace{\baselineskip} +ã€ä¾‹ã€‘定ç©åˆ†ã®å€¤ã‚’求ã‚る。 + +\vspace{\baselineskip} +$\displaystyle \int _{-1} ^2 (-x^3+3x+2)dx$ ã®å€¤ã‚’求ã‚る。çµæžœã¯ val ã§å—ã‘å–り，Mxtex() ã«æ¸¡ã—ã¦ï¼ŒTeX書å¼ã«ã—ã¦è¡¨ç¤ºã™ã‚‹ã€‚ + +\begin{verbatim} + cmdL=[ + "val:integrate",["-x^3+3*x+2,x,-1,2"], + "val",[] + ]; + CalcbyM("val",cmdL); + Mxtex("1",val); + Expr([[2,2],"e","S="+tx1]); +\end{verbatim} + \vspace{\baselineskip} \hypertarget{mxbatch}{} @@ -5950,7 +5955,9 @@ KeTCindy3Dã§ã¯ï¼Œç·šã‚„é¢ã«ã¤ã„ã¦ã®é™°ç·šå‡¦ç†ã‚’è¡Œã†ã€‚陰線処ç†ã \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®2ã¤ã®ã‚¹ãƒ©ã‚¤ãƒ€ã‚’作る。スライダã¯åˆæœŸä½ç½®ãŒå·¦ç«¯ã«ãªã‚‹ã€‚ +Cinderellaã®æç”»é¢ã«ï¼Œè¦–点移動ã®ãŸã‚ã®2ã¤ã®ã‚¹ãƒ©ã‚¤ãƒ€ã‚’作る。スライダã¯åˆæœŸä½ç½®ãŒå·¦ç«¯ã«ãªã‚‹ã€‚スライダTHã§è§’THETAを，スライダFIã§è§’PHIを内部変数ã¨ã—ã¦å®šç¾©ã™ã‚‹ã€‚ + +引数ã«0を入れ㦠\verb|Ketinit3d(0)| ã¨ã™ã‚‹ã¨ï¼Œå‰¯ç”»é¢ã‚’表示ã—ãªã„。 \textcolor{red}{＜é‡è¦ï¼ž} @@ -5967,7 +5974,7 @@ Cinderellaã®ä½œå›³ãƒ„ールã§ï¼Œç‚¹ãƒ»ç·šåˆ†ã‚’作図ã™ã‚‹ã¨ï¼Œå†…部関数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 6.48 5.04 , width=0.6cm]{Fig/delete.pdf}ã§æ¶ˆã™ã“ã¨ãŒã§ãる。 -optionã«ï¼Œé™¤å¤–点ã®ãƒªã‚¹ãƒˆã‚’与ãˆã‚‹ã¨ï¼Œãã®ç‚¹ã¯ç©ºé–“点ã¨ã—ãªã„。（始点を移動ã—ã¦ã‚‚ä½ç½®ã¯å¤‰ã‚らãªã„） +optionã«ï¼Œé™¤å¤–点ã®ãƒªã‚¹ãƒˆã‚’与ãˆã‚‹ã¨ï¼Œãã®ç‚¹ã¯ç©ºé–“点ã¨ã—ãªã„。（スライダã§è¦–点を移動ã—ã¦ã‚‚ä½ç½®ã¯å¤‰ã‚らãªã„） %---------------- Startsurf -------------------------------------------- \vspace{\baselineskip} @@ -5990,7 +5997,7 @@ optionsãŒãªã„ã¨ãã¯ï¼Œä»¥ä¸‹ã® åˆæœŸè¨å®šã‚’用ã„る。 (3) ExeccmdC(); ã§ï¼ŒC言語を用ã„ã¦ã¾ã¨ã‚ã¦æç”»ã™ã‚‹ã€‚ -%-------------------Xyzcoord ----------------------------------------------- +%-------------------Xyzaxdata3d ----------------------------------------------- \begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} \vspace{\baselineskip} \hypertarget{xyzax3data}{} @@ -6035,21 +6042,21 @@ optionsãŒãªã„ã¨ãã¯ï¼Œä»¥ä¸‹ã® åˆæœŸè¨å®šã‚’用ã„る。 \begin{description} %---------------- Drawpoint3d -------------------------------------------- -\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()} を用ã„る。TeXã«ç‚¹ã‚’出力ã™ã‚‹ã«ã¯ï¼Œ\hyperlink{pointdata3d}{Pointdata3d()} を用ã„る。 +%\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()} を用ã„る。TeXã«ç‚¹ã‚’出力ã™ã‚‹ã«ã¯ï¼Œ\hyperlink{pointdata3d}{Pointdata3d()} を用ã„る。 -引数ã¯ï¼Œåº§æ¨™ã®ãƒªã‚¹ãƒˆã«ã™ã‚‹ã“ã¨ã‚‚ã§ãる。 +%引数ã¯ï¼Œåº§æ¨™ã®ãƒªã‚¹ãƒˆã«ã™ã‚‹ã“ã¨ã‚‚ã§ãる。 -\vspace{\baselineskip} -ã€ä¾‹ã€‘ -\begin{verbatim} - Drawpoint3d([1,1,1]); - Drawpoint3d([[1,1,1],[0,1,0]]); -\end{verbatim} +%\vspace{\baselineskip} +%ã€ä¾‹ã€‘ +%\begin{verbatim} +% Drawpoint3d([1,1,1]); +% Drawpoint3d([[1,1,1],[0,1,0]]); +%\end{verbatim} -\vspace{\baselineskip} +%\vspace{\baselineskip} %---------------- Pointdata3d -------------------------------------------- \hypertarget{pointdata3d}{} @@ -6088,7 +6095,7 @@ optionã¯ï¼Œ"fix"( åˆæœŸè¨å®š) ã¾ãŸã¯ "free"。リスト ["free"] ã«ã—㦠\verb|Putpoint3d(["A",[2,1,3]],"free");| \vspace{\baselineskip} - 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€‚ + 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()} 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。 @@ -6327,11 +6334,7 @@ Putpoint3d("D",2*[-1,-1/sqrt(3),0]); phd=Concatobj([[A,B,C],[A,B,D],[A,C,D],[B,C,D]]); VertexEdgeFace("1",phd); Skeletonparadata("1"); -pa=Parapt(A3d); -pb=Parapt(B3d); -pc=Parapt(C3d); -pd=Parapt(D3d); -Letter([pa,"ne","A",pb,"sw","B",pc,"se","C",pd,"e","D"]); +Letter3d([A3d,"ne","A",B3d,"sw","B",C3d,"se","C",D3d,"e","D"]); \end{verbatim} \begin{center} \input{Fig/concatobj} \end{center} @@ -6975,13 +6978,13 @@ ExeccmdC()ã® options2ã‚’ ["nodisp"] ã«ã™ã‚‹ã¨ï¼Œé™°ç·šã¯éžè¡¨ç¤ºã«ãªã‚‹ã Intersectcrvsf("1","sl3d1",fd); ExeccmdC("1",[""]); println("Intersect="+intercrvsf1); - Drawpoint3d(intercrvsf1); + Pointdata3d("1",intercrvsf1); \end{verbatim} 実行ã™ã‚‹ã¨ï¼Œã‚³ãƒ³ã‚½ãƒ¼ãƒ«ã« \verb| Intersect=[[0,1.57,1.52],[0,-1.91,0.36]] | -ã®ã‚ˆã†ã«è¡¨ç¤ºã•ã‚Œï¼Œç”»é¢ã«ã¯ç·‘ã§äº¤ç‚¹ãŒè¡¨ç¤ºã•ã‚Œã‚‹ã€‚ +ã®ã‚ˆã†ã«è¡¨ç¤ºã•ã‚Œï¼Œç”»é¢ã«ã¯äº¤ç‚¹ãŒè¡¨ç¤ºã•ã‚Œã‚‹ã€‚ %------------------- IntersectsgpL ----------------------------------------------- \vspace{\baselineskip} @@ -7029,18 +7032,17 @@ println("flag1="+ret_2+": flag2="+ret_3); \begin{layer}{150}{0} \putnotese{10}{20}{ \input{Fig/wire01}} \putnotese{60}{20}{ \input{Fig/wire02}} -\putnotese{10}{60}{ \input{Fig/wire03}} -\putnotese{60}{60}{ \input{Fig/wire04}} \end{layer} \begin{verbatim} p2=[0,0,1/2]; p2=[-1,1,1]; flag1=false : flag2=true flag1=true : flag2=true - - - - - - +\end{verbatim} +\vspace{30mm} +\begin{layer}{150}{0} +\putnotese{10}{20}{ \input{Fig/wire03}} +\putnotese{60}{20}{ \input{Fig/wire04}} +\end{layer} + \begin{verbatim} p2=[1,2,1]; p2=[1,0,1/2]; flag1=true : flag2=false　　 flag1=false : flag2=false \end{verbatim} @@ -7568,12 +7570,11 @@ none：計算ã ã‘è¡Œã„，点ã¯ä½œå›³ã—ãªã„。 Defvar("vo=[3,3,3]"); Defvar("vx=[0,1,0]"); Defvar("vy=[0,0,1]"); - Putpoint3d(["A",[3,3,3]]); + 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); + Pointdata("1",[A],["Size=3"]); \end{verbatim} \begin{center} \input{Fig/embed01} \end{center} @@ -7610,8 +7611,7 @@ none：計算ã ã‘è¡Œã„，点ã¯ä½œå›³ã—ãªã„。 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); + Pointdata("1",[P],["Size=3"]); Skeletonparadata("1"); \end{verbatim} \begin{center} \input{Fig/embed02} \end{center} @@ -7651,14 +7651,14 @@ none：計算ã ã‘è¡Œã„，点ã¯ä½œå›³ã—ãªã„。 \begin{center}\scalebox{0.8}{ \input{Fig/invparapt}} \end{center} 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„。 - +%------------------- Expr3d ----------------------------------------------- \vspace{\baselineskip} \hypertarget{expr3d}{} \item[関数] Expr3d([ä½ç½®, æ–¹å‘, æ–‡å—列],option) \item[機能] æ–‡å—列を表示ã™ã‚‹ \item[説明] Expr() ã¨åŒã˜æ›¸å¼ã€‚「ä½ç½®ï¼ˆåº§æ¨™ï¼‰ã€ã ã‘，空間座標ã«ã™ã‚‹ã€‚ - +%------------------- Letter3d ----------------------------------------------- \vspace{\baselineskip} \hypertarget{letter3d}{} \item[関数] Letter3d([ä½ç½®, æ–¹å‘, æ–‡å—列],option) @@ -7809,8 +7809,8 @@ Cinderellaã§ä½¿ã£ã¦ã„る用語ã«æ¬¡ã®ã‚‚ã®ãŒã‚る。 \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 , options)} \>é ˜åŸŸã«ç‚¹ã‚’æ•·ãè©°ã‚ã‚‹\\ \hyperlink{drawsegmark}{Drawsegmark(name,list,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{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([座標,ä½ç½®,æ–‡å—列],options)} \>\TeX æ•°å¼ã‚’書ã\\ @@ -7894,6 +7894,8 @@ Cinderellaã§ä½¿ã£ã¦ã„る用語ã«æ¬¡ã®ã‚‚ã®ãŒã‚る。 \hyperlink{ptcrv}{Ptcrv(n,PD)} \>曲線PD ã®n 番目ã®ç¯€ç‚¹ã‚’å–å¾—ã™ã‚‹\\ \hyperlink{ptstart}{Ptstart(PD)} \>プãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã®å§‹ç‚¹ãƒ»çµ‚点をå–å¾—ã™ã‚‹\\ \hyperlink{readoutdata}{ReadOutData(ファイルå)} \>外部データをPDã¨ã—ã¦èªã¿è¾¼ã‚€\\ +\hyperlink{readcsv}{Readcsv(name,filename,option)} \>csvファイルをèªã‚€\\ +\hyperlink{readlines}{Readlines(name,filename,option)} \>テã‚ストファイルを1è¡Œãšã¤èªã‚€\\ \hyperlink{sqr}{Sqr(real)} \>å¹³æ–¹æ ¹ã‚’è¿”ã™\\ \hyperlink{viewtex}{Viewtex()} \>\TeX ã®ã‚½ãƒ¼ã‚¹ãƒ•ã‚¡ã‚¤ãƒ«ã‚’書ã出ã™ã€‚引数ãªã—\\ \hyperlink{workprocess}{Workprocess()} \>作図ã®çµŒéŽã‚’å–å¾—ã™ã‚‹\\ @@ -7932,8 +7934,6 @@ Cinderellaã§ä½¿ã£ã¦ã„る用語ã«æ¬¡ã®ã‚‚ã®ãŒã‚る。 \hyperlink{histplot}{Histplot(name,data)} \>ヒストグラムをæã\\ \hyperlink{plotdatar}{PlotdataR(name,å¼,変数)} \>Rã®é–¢æ•°ã®ã‚°ãƒ©ãƒ•ã‚’æã\\ \hyperlink{plotdiscr}{PlotdiscR(name,å¼,変数)} \>離散型ã®ã‚°ãƒ©ãƒ•ã‚’æã\\ -\hyperlink{readcsv}{Readcsv(name,filename,option)} \>csvファイルをèªã‚€\\ -\hyperlink{readlines}{Readlines(name,filename,option)} \>テã‚ストファイルを1è¡Œãšã¤èªã‚€\\ \hyperlink{scatterplot}{Scatterplot(name,filename,option)} \>2次元データをèªã¿è¾¼ã¿ï¼Œæ•£å¸ƒå›³ã‚’æã\\ \vspace{\baselineskip} ã€Maximaã¨ã®é€£æºã€‘\\ @@ -7985,7 +7985,7 @@ Cinderellaã§ä½¿ã£ã¦ã„る用語ã«æ¬¡ã®ã‚‚ã®ãŒã‚る。 \hyperlink{datalist}{Datalist2d()} \>ç”»é¢ã«æã‹ã‚Œã¦ã„ã‚‹ã™ã¹ã¦ã®ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿\\ \hyperlink{datalist}{Datalist3d()} \>ç”»é¢ã«æã‹ã‚Œã¦ã„ã‚‹ã™ã¹ã¦ã®ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿\\ \hyperlink{dist3d}{Dist3d(点å,点å)} \>空間ã®2点ã®è·é›¢\\ -\hyperlink{drawpoint3d}{Drawpoint3d(座標)} \>空間点をæã\\ +%\hyperlink{drawpoint3d}{Drawpoint3d(座標)} \>空間点をæã\\ \hyperlink{embed}{Embed(name,PD,å¼)} \>埋ã‚è¾¼ã¿ãƒ‡ãƒ¼ã‚¿ä½œæˆ\\ \hyperlink{execcmdc}{ExeccmdC(name,options1,options2)} \>C言語ã§å‘½ä»¤å®Ÿè¡Œ\\ \hyperlink{expr3d}{Expr3D([座標,ä½ç½®,æ–‡å—列],options)} \>æ–‡å—列を表示ã™ã‚‹\\ diff --git a/Master/texmf-dist/doc/support/ketcindy/source/readme/ReadmeLinuxE.tex b/Master/texmf-dist/doc/support/ketcindy/source/readme/ReadmeLinuxE.tex index f567a0a9072..8145b7fb7a8 100644 --- a/Master/texmf-dist/doc/support/ketcindy/source/readme/ReadmeLinuxE.tex +++ b/Master/texmf-dist/doc/support/ketcindy/source/readme/ReadmeLinuxE.tex @@ -34,7 +34,8 @@ How to install KeTCindy(Mac) \begin{itemize} \item Files necessary for KeTCindy are already implemented (2018 or later). \end{itemize} - \item In case of other TeX, see {\bf 3.}(2). + \item KeTTeX is a light-weight version of TeXLive and downloadable from\\ + \hspace*{6mm}\url{https://www.dropbox.com/s/vg8p07832e9hzlk/KeTTeX-linux-20171022.tar.xz?dl=0} \end{enumerate} @@ -48,16 +49,10 @@ How to install KeTCindy(Mac) \hspace*{10mm}Clone or Download \verb|>| Download ZIP \end{itemize} \item Open ketcindy(-master)/forLinux. - \begin{itemize} - \item[Rem)]If you use TeX other than TeXLIve/KeTTeX, - \begin{itemize} - \item Open setketcindy.command with a text editor. - \item Edit paths in it. - \end{itemize} - \end{itemize} \item Open Terminal and execute setketcindy.sh with sh command \begin{itemize} - \item Control-click and select Terminal if necessary. + \item if some paths are wrong,\\ + \hspace*{5mm}open setketcindy.sh with a text editor, and edit paths written in it. \item Contents of scripts will be copied into TeX. \item ketcindystyle files will be copied and mktexlsr will be executed. \item In Cinderella/PlugIns\\ @@ -86,7 +81,7 @@ How to install KeTCindy(Mac) \item Test run of KeTCindy \begin{enumerate}[(1)] - \item Double-click "template1basic.cdy" in "ketcindy/ketfiles".\\ + \item Double-click "template1basic.cdy" in work directory "ketcindy".\\ \hspace*{10mm}Then a frame in white appear on the screen. \end{enumerate} \item Press "Figure" button at the top left, then the final PDF output is displayed. \begin{itemize} diff --git a/Master/texmf-dist/doc/support/ketcindy/source/readme/ReadmeLinuxJ.tex b/Master/texmf-dist/doc/support/ketcindy/source/readme/ReadmeLinuxJ.tex index 69784439e61..a7c876e09dd 100644 --- a/Master/texmf-dist/doc/support/ketcindy/source/readme/ReadmeLinuxJ.tex +++ b/Master/texmf-dist/doc/support/ketcindy/source/readme/ReadmeLinuxJ.tex @@ -35,7 +35,9 @@ KETCindyã®ã‚¤ãƒ³ã‚¹ãƒˆãƒ¼ãƒ« (Linux) \begin{itemize} \item ï¼’ï¼ï¼‘８以é™ã§ã¯ketcindyãŒæ—¢ã«å…¥ã£ã¦ã„ã‚‹. \end{itemize} - \item ä»–ã®TeXã®å ´åˆã¯ï¼Œ{\bf 3.}(2)ã‚’å‚ç…§ã™ã‚‹ï¼Ž +\item KeTTeXã¯TeXLiveã®è»½é‡ç‰ˆã§ï¼Œä»¥ä¸‹ã‹ã‚‰ãƒ€ã‚¦ãƒ³ãƒãƒ¼ãƒ‰ã§ãる．\\ + \hspace*{6mm}\url{https://www.dropbox.com/s/vg8p07832e9hzlk/KeTTeX-linux-20171022.tar.xz?dl=0} +% \item ä»–ã®TeXã®å ´åˆã¯ï¼Œ{\bf 3.}(2)ã‚’å‚ç…§ã™ã‚‹ï¼Ž \end{enumerate} \item KeTCindyã®ã‚¤ãƒ³ã‚¹ãƒˆãƒ¼ãƒ« @@ -50,15 +52,10 @@ KETCindyã®ã‚¤ãƒ³ã‚¹ãƒˆãƒ¼ãƒ« (Linux) \item[注)]ã“ã®å ´åˆã¯ï¼Œketcindy-masterã«ãªã‚‹ï¼Ž \end{itemize} \item ketcindy(-master)/forLinuxã‚’é–‹ã． - \begin{itemize} - \item[注)]ä»–ã®TeXを使ã£ã¦ã„ã‚‹å ´åˆ - \begin{itemize} - \item setketcindy.shをテã‚ストエディタã§é–‹ã． - \item パスを修æ£ã™ã‚‹ï¼Ž - \end{itemize} - \end{itemize} \item ターミナルã®shコマンドã§setketcindy.shを実行． \begin{itemize} + \item 表示ã•ã‚Œã‚‹ãƒ‘スãŒé•ã£ã¦ã„ã‚‹å ´åˆ\\ + \hspace*{10mm}setketcindy.shをテã‚ストエディタã§é–‹ã„ã¦ï¼Œãƒ‘スを修æ£ã™ã‚‹ï¼Ž \item scriptsã®ä¸èº«ãŒTeXã«ã‚³ãƒ”ーã•ã‚Œã‚‹ \item ketcindyã®styleファイルãŒTeXã«ã‚³ãƒ”ーã•ã‚ŒmktexlsrãŒå®Ÿè¡Œã•ã‚Œã‚‹ï¼Ž \item Cinderellaã®Pluginsã«KetcindyPlugin.jarをコピー，ketcindy.iniãŒä½œæˆã•ã‚Œã‚‹ï¼Ž diff --git a/Master/texmf-dist/doc/support/ketcindy/source/readme/ReadmeMacE.tex b/Master/texmf-dist/doc/support/ketcindy/source/readme/ReadmeMacE.tex index 880f70d9e54..bafe8c7c61c 100644 --- a/Master/texmf-dist/doc/support/ketcindy/source/readme/ReadmeMacE.tex +++ b/Master/texmf-dist/doc/support/ketcindy/source/readme/ReadmeMacE.tex @@ -94,7 +94,7 @@ How to install KeTCindy(Mac) \item Test run of KeTCindy \begin{enumerate}[(1)] - \item Double-click "template1basic.cdy" in "ketcindy/ketfiles".\\ + \item Double-click "template1basic.cdy" in work directory "ketcindy".\\ \hspace*{10mm}Then a frame in white appear on the screen. \end{enumerate} \item Press "Figure" button at the top left, then the final PDF output is displayed. \begin{itemize} diff --git a/Master/texmf-dist/doc/support/ketcindy/source/readme/ReadmeWinE.tex b/Master/texmf-dist/doc/support/ketcindy/source/readme/ReadmeWinE.tex index 60847ef8e23..eecd1de9e7b 100644 --- a/Master/texmf-dist/doc/support/ketcindy/source/readme/ReadmeWinE.tex +++ b/Master/texmf-dist/doc/support/ketcindy/source/readme/ReadmeWinE.tex @@ -96,7 +96,7 @@ How to install KeTCindy(Windows) \item Test run of KeTCindy \begin{enumerate}[(1)] - \item Double-click "template1basic.cdy" in "ketcindy/ketfiles".\\ + \item Double-click "template1basic.cdy" in work directory "ketcindy".\\ \hspace*{10mm}Then a frame in white appear on the screen. \end{enumerate} \item Press "Figure" button at the top left, then the final PDF output is displayed. \begin{itemize} diff --git a/Master/texmf-dist/doc/support/ketcindy/source/spacekc/SpacekcReferenceE.tex b/Master/texmf-dist/doc/support/ketcindy/source/spacekc/SpacekcReferenceE.tex new file mode 100644 index 00000000000..642b5efe38a --- /dev/null +++ b/Master/texmf-dist/doc/support/ketcindy/source/spacekc/SpacekcReferenceE.tex @@ -0,0 +1,619 @@ +\documentclass[papersize,a4paper,12pt]{article} +\usepackage{ketpic,ketlayer} +\usepackage{amsmath} +\usepackage{graphicx,color} +\usepackage{wrapfig} +\usepackage[bookmarks=false,colorlinks=true,linkcolor=blue]{hyperref} +\setmargin{20}{20}{15}{25} +\usepackage{setspace} +\usepackage{comment} +\usepackage{bm,enumerate} +\begin{document} +\title{Spacekc Reference} +\author{CinderellaJapan} +\maketitle + +\tableofcontents + +\newpage + +% Section 1 Introduction ======================================= +\section{Introduction } +Spacekc is a function library on Ketcindy. To KeTCindy's 3D graphics, color with simple raytracing +be able to. In addition, several functions for calculating relating to space are prepared. + +%Section 2 ========================================== +\section{Constant} + +\begin{description} + +\hypertarget{lightpoint}{} +\item[Direction vector of light source] Lightpoint +\item[Description] Direction vector of light source for simplified ray tracing. Default is [-1,1,1]. + +\vspace{\baselineskip} +\hypertarget{contrast}{} +\item[Contrast] Contrast +\item[Description] Contrast in the direction of light when performing simple ray tracing. Standard is a real number between 0 and 1. + +\end{description} + +%Section 3 Value ========================================== +\section{Value} +\begin{description} + +\hypertarget{angle3pt}{} +\item[Function] angle3pt(coordinate1,coordinate2,coordinate3) +\item[Description] Find an angle on a 2D plane. +\item[Return value] This function is return ∠p1p2p3 for point p1,p2,p3. + +\vspace{\baselineskip} + +\hypertarget{pointindomain}{} +\item[Function] pointindomain(coordinate1,list of point) +\item[Description] Judgment whether or not there is a point in the closed curve. +\item[Return value] The judgment that this function has a point of coordinate1 in the closed curve of the list of points on a plane. The case in the domain return 1 , out of domain return 0, on a boundary line return 2. + +\vspace{\baselineskip} + +\hypertarget{crosssd}{} +\item[Function] crosssd(coordinate1,coordinate2,coordinate3,coordinate4) +\item[Description] determine whether two segments cross in 2D plane +\item[Description] judge it whether a segment of links coordinate 3, coordinate 4 to the segment of linking coordinate 1, coordinate 2 has a common point. +\item[Return value] When there is a common point, true is returned, and false is returned when there is not it. + +\vspace{\baselineskip} + +\hypertarget{interll}{} +\item[Function] interll(coordinate1,coordinate2,coordinate3,coordinate4) +\item[Description] Demand the point of intersection of the two straight lines +\item[Return value] Demand the coordinate of the point of intersection with the straight line via coordinate 1, coordinate 2 and coordinate 3, coordinate 4. When there is not a point of intersection, It return [i,i,i]. + +\vspace{\baselineskip} + +\hypertarget{interss}{} +\item[Function] interss(coordinate1,coordinate2,coordinate3,coordinate4) +\item[Description] Demand the point of intersection of the two segments. +\item[Return value]Demand the coordinate of the point of intersection with the segment via coordinate 1, coordinate 2 and coordinate 3, coordinate 4. + + When there is not a point of intersection, It return [i,i,i]. + +\vspace{\baselineskip} +\hypertarget{interpl}{} +\item[Function]interpl(list of coefficients ,coordinate1,coordinate2) +\item[Description] Demand a plane and the point of intersection of the straight line. +\item[Return value] Demand the coordinate of the point of intersection with the plane via coordinate 1, coordinate 2, coordinate 3 and line via coordinate 4 , coordinate 5. + + When there is not a point of intersection, It return [i,i,i]. + +\vspace{\baselineskip} +\hypertarget{interps}{} +\item[Function] interps(list of coefficients ,coordinate1,coordinate2) +\item[Description] Demand a plane and the point of intersection of the segment +\item[Return value] Demand the coordinate of the point of intersection with the plane via coordinate 1, coordinate 2, coordinate 3 and segment to link coordinate 4 to coordinate 5. + + When there is not a point of intersection, It return [i,i,i]. + +\hypertarget{distlp}{} +\item[Function] distlp(coordinate1,coordinate2,coordinate3) +\item[Description] Distance of a line to a point . +\item[Return value] It find a straight line via coordinate1 and coordinate2 and the distance with the point of coordinate3. The return value is distance. When coordinate 1 and coordinate 2 is equal, return imaginary unit i and display warning "Warning:p1 is same to p2" to a console. + +Example　println(distlp([1,0],[0,1],[0,0])); \\ +In addition, 0.71 is displayed to a console by plintln(), but is displayed with 1/2*sqrt(2) by \\ +　　　println(guess(distlp([1,0],[0,1],[0,0])));\\ + +Example　println(distlp([1,1,0],[0,0,1],[0,0,0])); +In addition, 0.82 is displayed to a console by plintln(), but is displayed with 1/3*sqrt(6) by \\ +　　　println(guess(distlp([1,1,0],[0,0,1],[0,0,0])));\\ + + +\vspace{\baselineskip} +\hypertarget{distpp}{} +\item[Function] distpp(coordinate1,coordinate2,coordinate3,coordinate4) +\item[Description] Distance of a plene and a point in 3D space +\item[Return value] It find a plane via coordinate1 ,coordinate2 and coordinate2 and the distance with the point of coordinate4. The return value is distance. + +Example　distpp([2,0,0],[0,2,0],[0,0,2],[0,0,0]);\\ +　　　　　return value is $\cfrac{2\sqrt{3}}{3}$ \\ + +\vspace{\baselineskip} +\hypertarget{map2d}{} +\item[Function] Coordinate of the point that projection of space +\item[Description] In a current screen set with a circular slider, It find the coordinate which performed a projection of a point on the space on a plane. +\item[Return value] coordinate + +Example : pt=map2d([1,2,3]); + +It is exactly the same as KeTindy's Parapt (). + +%\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$Function] list}\end{flushright} + +\hypertarget{normalvec}{} +\item[Function] normalvec(coordinate1,coordinate2,coordinate3) +\item[Description] It demand a plane unit normal vector via coordinate 1, coordinate 2, coordinate 3. +\item[Return value] normal vector. + +　The direction of the vector is decided in order of a point.\\ +Exsample　normalvec([2,0,0],[0,2,0],[0,0,2]);\\ + 　Result is $\left(\cfrac{\sqrt{3}}{3},\cfrac{\sqrt{3}}{3},\cfrac{\sqrt{3}}{3}\right)$\\ +　　normalvec([2,0,0],[0,0,2],[0,2,0]); \\ +　Result is $\left(-\cfrac{\sqrt{3}}{3},-\cfrac{\sqrt{3}}{3},-\cfrac{\sqrt{3}}{3}\right)$\\ + +The vector of the perpendicular line which you gave to a plane is provided when you use distpp()\\ + +　　nv=normalvec([2,0,0],[0,2,0],[0,0,2]);\\ +　　dd=distpp([2,0,0],[0,2,0],[0,0,2],[0,0,0]);\\ +　　poly3d([[2,0,0],[0,2,0],[0,0,2]]);\\ +　　arrow3d([[0,0,0],dd*nv]);\\ +　　Letter3d([dd*nv,"e","H"]);\\ + +　　\input{3Dfig/nomalvec01}\\ + + +%\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$Function] list}\end{flushright} + + +\hypertarget{planecoeff}{} +\item[Function] planecoeff(coordinate1,coordinate2,coordinate3) +\item[Description] It demands coefficient $a,b,c$ of plane equation $ax+by+cz=1$ going along three points of coordinate 1 and coordinate 2 and coordinate 3. +\item[Return value] List [a,b,c]. When coefficiets not exist, "Warning! Cannot decide a coefficient." is displayed and return [i,i,i].\\ + + +\vspace{\baselineskip} +\hypertarget{reflect3d}{} +\item[Function] reflect3d(dlist,mirror) +\item[Description] Reflection of dlist. dlist is point or plot data or face data. +\item[Return value] Data of the same type as the first argument. + +\vspace{\baselineskip} + +\hypertarget{rotate3d}{} +\item[Function] rotate3d(dlist,vec,angle,center) +\item[Description] Rotaate of dlist. dlist is point or plot data or face data. +\item[Return value] Data of the same type as the first argument. + + +\hypertarget{translate3d}{} +\item[Function] rotate3d(dlist,vec,angle,center) +\item[Description] Translate of dlist. dlist is point or plot data or face data. +\item[Return value] Data of the same type as the first argument. + +%\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$Function] list}\end{flushright} + +\vspace{\baselineskip} +\hypertarget{rotmatrix}{} +\item[Function] rotmatrix(vec) +\item[Description] Make rotation matrix from normal vectors. +\item[Return value] List. + +\vspace{\baselineskip} + +\hypertarget{vertexrpolyhedron}{} +\item[Function] vertexrpolyhedron(n) +\item[Description] Acquire a list of tops of the regular polyhedron +\item[Description] The value of n is one of 4,6,8,12,20. +\item[Return value] list of vertexs of the regular polyhedron that touches the spherical surface of radius 1 internally. The turn of the vertexs are as follows. It is alphabetical order each. + +\input{3Dfig/vertex4} \input{3Dfig/vertex6} + +\input{3Dfig/vertex8} \input{3Dfig/vertex12} + +\input{3Dfig/vertex20} + +%\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$Function] list}\end{flushright} + +\hypertarget{val2tex}{}\item[Function] val2tex(x) +\item[Description] Analyze numerical values with guess () +\item[Return value] TeX character string. + +Example +\begin{verbatim} + pa=[2,0,0]; + pb=[0,2,0]; + pc=[0,0,2]; + nv=normalvec(pa,pb,pc); + hv=distpp(pa,pb,pc,[0,0,0])*nv; + hvstr=apply(hv,val2tex(#)); + plate3d("1",[pa,pb,pc],["Color=skyblue","Rayoff"]); + poly3d("1",[pa,pb,pc]); + arrow3d("1",[[0,0,0],hv],["size=2"]); + letter3d([pa,"s2",text(pa_1),pb,"s2",text(pb_2),pc,"w2",text(pc_3), + hv,"ne2","H$\left( "+hvstr_1+","+hvstr_2+","+hvstr_3+" \right)$"]); +\end{verbatim} + +%\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$Function] list}\end{flushright} + +\end{description} +\newpage + +%Section 4 Drawing ========================================= +\section{Drawing} + +\textbf{options} + +＜Density of the mesh＞　The curved surface is described in mesh. This options appoints the number of process lines of this time. + +The density of the mesh is appointed like "Mesh=[10,15]". + +＜Concentration＞The concentration is appointed with real numbers from 0 to 1. + +\textbf{＜Ray tracing＞} + +Specify whether to add shadows in ray tracing. When shadowing "Rayon", do not shade when "Rayoff". The default setting is "Rayon" + +%\newpage +\begin{description} + +\hypertarget{grid}{} +\item[Function] grid(range1,range2,ne,option) +\item[Description] Display grid on $ xy $ plane. +\item[Description] Range 1 is the range of the $ x $ axis, and range 2 is the range of the $ y $ axis. +\item[Return value] none. + +%\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$Function] list}\end{flushright} + +\hypertarget{line3d}{} +\item[Function] line3d(name,list ,option） +\item[Description] This function draws a lint linking two points in list of the argument. +\item[Return value] list of 2nd argument. + +%\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$Function] list}\end{flushright} + +\hypertarget{arrow3d}{} +\item[Function] arrow3d(name,list,option） +\item[Description] This function draws an arrowed line by list of two points of coordinates. + \item[Return value] list of 2nd argument. + +\vspace{\baselineskip} + Example The next script draws an arrowed line linking two points of $(1,3,2), (-2,-1,-2)$. + +\hspace{10mm} \verb|arrow3d("1",[[1,3,2],[-2,-1,-2]])| + + Example The next script draw a straight line via two points of $(1,3,2), (-2,-1,-2)$ with 2 thickness red. + +\hspace{10mm} \verb|arrow3d("1",[[2,0,0],[-1,4,1]],[2,1,1,"dr,2","Color=red"])| + +%\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$Function] list}\end{flushright} + +\hypertarget{poly3d}{} +\item[Function] poly3d(name,list,option) +\item[Description] This function draws a polygon to link the point that I gave in list. +　The point to give in list does not need to be closed. It is closed automatically and is drawn. +\item[Return value] Plot data of the drawn polygon. + + Example The next script draws a triangle to assume three points of $(1,1,1), (2,2,1),(0,1,-1)$ a top. +\begin{verbatim} + pd=[[1,1,1],[2,2,1],[0,1,-1]]; + poly3d("1",pd); +\end{verbatim} + +%\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$Function] list}\end{flushright} + +\hypertarget{plate3d}{} +\item[Function] plate3d(name,list,option) +\item[Description] This function applies a polygon to link the point that I gave in list. +\item[Return value] Plot data of the drawn polygon. + +With the Rayoff option, ray tracing is not performed. + + Example : The next script applies a triangle to assume three points of $(1,1,1), (2,2,1),(0,1,-1)$ a top with red. +\begin{verbatim} + pd=[[1,1,1],[2,2,1],[0,1,-1]]; + plate3d("1",pd,["Color=Red"]); +\end{verbatim} + +%\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$Function] list}\end{flushright} + +\hypertarget{circle3d}{} +\item[Function] circle3d(name,center,normal vector,radius,option) +\item[Description] This function gives the center, a radius and a normal vector and draws the circle. +\item[Return value] Plotdata of circle. + + Example : The next script describes the circle that central $(1,1,1)$, radius 2, a normal vector are (1,1,1) in thickness 2, red.\\ + +\verb| circle3d("1",[1,1,1],[1,1,1],2,["dr,2","Color=Red"]); | + +%\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$Function] list}\end{flushright} + +\hypertarget{drawarc3d}{} +\item[Function] drawarc3d(name,center,normal vector,radius,range,option) +\item[Description] Draw an arc as a part of the circle drawn by giving the center, radius and normal vector. +\item[Return value] Plotdata of arc. + + Example : Draw arc with center $ (1,1,1) $, radius 2, normal vector (-1, 1, 1). + +\verb| drawarc3d("1",[1,1,1],[-1,1,1],2,[0,2*pi/3]); | + +%\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$Function] list}\end{flushright} + +\hypertarget{disc3d}{} +\item[Function] disc3d(center,nomal vector,radius,options) +\item[Description] This function gives the center, a radius and a normal vector and draws a disk. +\item[Return value] Plotdata of circle. + +With the Rayoff option, ray tracing is not performed. + + Example : The next script draws the disk that central $(1,1,1)$, radius 2, a normal vector are (1,1,1) at red\\ + + \verb| disc3d("1",[1,1,1],[1,1,1],2,["Color=Red"]); | + +%\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$Function] list}\end{flushright} + +\hypertarget{drawsphere}{} +\item[Function] drawsphere(name,center,radius,opton) +\item[Description] This function describes the origin center, draw spherical surface of radius r. + +Draw a spherical surface with gradation by using simple ray tracing. The spheres are divided into meshes and coloring is done. + +The radius can also be specified as a list for the x axis, y axis, z axis direction. + +Drawing takes time. If it takes too much time, try drawing with "Mesh = [10, 10]" as an option. If you can draw it, make the mesh finer. The initial value is "Mesh = [30, 20]". + +\item[Return value] none + +\vspace{\baselineskip} +Example : Origin center, spherical surface with radius 2 (left figure) + +\verb|drawsphere("1",[0,0,0],2) | + +Draw a sphere with an ellipse shape in green (0, 0, 2) and a radius [1, 1, 2] in green ( right figure) + +\verb|drawsphere("1",[0,0,2],[1,1,2],["Color=green","Mesh=[20,20]"])| + + \input{3Dfig/sphere01} \hspace{10mm} \input{3Dfig/sphere02} + +%\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$Function] list}\end{flushright} + +\hypertarget{quasisphere}{} +\item[Function] quasisphere(name,center,radius,fill,opton) +\item[Description] This function describes the origin center, draw a quasi spherical surface of radius r. + +fill is a flag indicating whether or not to color. If it is 1, it paints. If 0 it does not paint. This argument can be omitted. The default is 1. + +\item[Return value] Plotdata of circle. + +\vspace{\baselineskip} +Example \verb|quasisphere("1",[0,0,1],1]);| + + \input{3Dfig/sphere03} + +It is faster than drawing with Sfbdparadata () and ExeccmdC () because it does not handle hidden lines. By using this, if you make a script like the following, you can see that pseudo sphere is sufficient. + +\begin{verbatim} +pd1=quasisphere("1",[0,0,0],2,["nodisp"]); +pd2=circle3d("1",[0,0,0],[0,1,sqrt(3)],2,["nodisp"]); +pd3=circle3d("2",[0,0,-1],[0,0,1],sqrt(3),["nodisp"]); +sp=apply(pd1,map2d(#)); +su1=apply(pd2,map2d(#)); +su2=apply(pd3,map2d(#)); +Listplot("1",sp,["nodisp"]); +Listplot("2",su1); +Listplot("3",su2,["Color=blue"]); +int1=Intersectcrvs("sg1","sg2"); +int2=Intersectcrvs("sg1","sg3"); +println(int1); +println(int2); +p1=int1_1; +p2=int1_2; +p3=int2_1; +p4=int2_2; +Partcrv("1", p2, p1, "sg1"); +Partcrv("2", p3, p4, "sg3",["nodisp"]); +Partcrv("3", p4, p3, "sg1",["nodisp"]); +Joincrvs("1",["part2","part3"],["nodisp"]); +Shade(["join1"],["Color=[0.2,0,0,0]"]); +\end{verbatim} + + \input{3Dfig/sphere04} \hspace{10mm} \input{3Dfig/sphere05} + +When this script is executed, the number of intersection points int 1 and int 2 changes according to the viewpoint, so it is necessary to look at what is displayed on the console and set \verb | p1, p2, p3, p4 |. + +%\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$Function] list}\end{flushright} + +\hypertarget{polyhedron}{} +\item[Function] polyhedron(name,face data,option) +\item[Description] Drawing a polyhedron with colored surfaces. +\item[Return value] face data. + +With the Rayoff option, ray tracing is not performed. + +\vspace{\baselineskip} + Example : Cube ABCD - EFGH is drawn in green with the plane cut through B, D and G. + +\hspace{30mm}\input{3Dfig/polyhedron01} + +For the vertices B, C, D, G, make a surface list as follows. + +First, add numbers 1, 2, 3, 4 to vertices B, C, D and G. + +The plane BCG is B, C, G counterclockwise as seen from the outside, so [1, 2, 4] + +Since surface CDG is similarly C, D, G, [2, 3, 4] + +Since the planes DGB are similarly D, B, G, [3, 1, 4] + +Bottom BCD is B, D, C counterclockwise as seen from the outside [1, 3, 2] + + Therefore, with the coordinates of B, C, D, G as p1, p2, p3, p4, make surface data \verb | fd | as follows. + +\begin{verbatim} + p1=[2,0,0]; + p2=[2,2,0]; + p3=[0,2,0]; + p4=[2,2,2]; + fd=[[p1,p2,p3,p4],[[1,2,4],[2,3,4],[3,1,4],[1,3,2]]]; +\end{verbatim} + +Using this surface data, the cone is drawn as follows + + \verb| polyhedron("1",fd,["Color=Green"])| + +\hspace{30mm}\input{3Dfig/polyhedron02} + +Example : Draw polyhedron using polyhedrons obj polyhedron data by Kobayashi, Suzuki, Mitani. + Data is a regular polyhedron, semi-regular polyhedron, Johnson's solid, + +\url{http://mitani.cs.tsukuba.ac.jp/polyhedron/index.html } + +Specify the path to the folder polyhedrons obj storing this data with \verb| Setdirectory () |, and read it with \verb | Readobj () |. For example, when placed in a work directory (fig folder) + +\begin{layer}{150}{0} +\putnotese{90}{0}{\input{3Dfig/polyhedron03}} +\end{layer} + +\begin{verbatim} + Setdirectory(Dirwork+"/polyhedrons_obj"); + polydt=Readobj("s06.obj"); + Setdirectory(Dirwork); + fd=[2*polydt_1,polydt_2]; + polyhedron("1",fd); +\end{verbatim} + +Note that \verb| fd = [2 * polydt - 1, polydt - 2] | doubles the vertex coordinates. + +If you are drawing an edge, add the following. + +\begin{verbatim} +VertexEdgeFace("1",fd); +Nohiddenbyfaces("1","phe3d1","phf3d1"); +\end{verbatim} + +%\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$Function] list}\end{flushright} + +\hypertarget{convexhedron}{} +\item[Function] convexhedron(name,list ,magnification,option) +\item[Description] Draw a convex polyhedron with a vertex list and a surface painted. Magnification is the magnification to the size actually drawn for the vertex list. If it is 1 it can be omitted. +\item[Return value] face data + +\vspace{\baselineskip} +Example : A convex polyhedron whose bottom is a pentagon +\begin{verbatim} + th=2*pi/5; + pd=apply(1..5,[cos(#*th),sin(#*th),0]); + pd=pd++apply(1..5,[2*cos(#*th),2*sin(#*th),1]); + pd=append(pd,[0,0,2]); + println(pd); + fd=convexhedron("1",pd) +\end{verbatim} +\hspace{20mm}\input{3Dfig/convexhedron} + +If you are drawing an edge, use the return value as follows. + +\begin{verbatim} + fd=convexhedron("1",pd); + VertexEdgeFace("1",fd); + Nohiddenbyfaces("1","phe3d1","phf3d1"); +\end{verbatim} + +%\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$Function] list}\end{flushright} + +\hypertarget{rpolyhedron}{} +\item[Function] rpolyhedron(name, number of face ,radius,option) +\item[Description] Draw a regular polyhedron with a color-painted face. +There are five kinds of regular polyhedrons, and data is incorporated in Spacekc. \hyperlink {rpolydata} {vertex coordinates of regular polyhedron}. Using this, you can draw a regular polyhedron by specifying the number of faces and the radius of the circumscribed sphere. +\item[Return value] face data. + +\vspace{\baselineskip} + Example : Draw a regular dodecahedron painted with yellow face + +\verb| rpolyhedron("1",6,2,["Color=yellow"]);| + +\hspace{20mm}\input{3Dfig/rpolyhedron} + +If you are drawing an edge, use the return value as follows. +\begin{verbatim} +fd=rpolyhedron("1",12,2,["Color=yellow"]); +VertexEdgeFace("1",fd); +Nohiddenbyfaces("1","phe3d1","phf3d1"); +\end{verbatim} + + +\vspace{\baselineskip} +Reference : Size of regular polyhedron + +In rpolyhedron (), draw with the size inscribed in the sphere of the specified radius. Here, the relationship between the radius and the side length is mentioned. $\phi=\cfrac{1+\sqrt{5}}{2}$ + + \input{3Dfig/rpolytable} + +Example : Draw a regular hexahedron with a side length of 2 +\begin{verbatim} + rpolyhedron(6,sqrt(3),["dr,2"]); +\end{verbatim} + +%\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$Function] list}\end{flushright} + + +\hypertarget{rfrustum}{} +\item[Function] frustum(name,n,r1,r2,h,option) +\item[Description] Put the face of a regular pyramid. +n : Number of corners + +r1,r2 : Radius of the circumscribed circle of the upper base and the lower base + +h : height + +\vspace{\baselineskip} + ExampleDraw a regular hexagonal pyramid + +\verb| frustum("1",6,1,2,3,["Color=yellow"]);| + +\hspace{20mm}\input{3Dfig/frustum01} + +If you are drawing an edge, use the return value as follows. + +\begin{verbatim} + fd=frustum("1",6,1,2,3,["Color=yellow"]); + VertexEdgeFace("1",fd); + Nohiddenbyfaces("1","phe3d1","phf3d1"); +\end{verbatim} + + Example : + +\begin{verbatim} + fd=frustum("1",6,0,2,3,["Color=yellow"]); + VertexEdgeFace("1",fd); + Nohiddenbyfaces("1","phe3d1","phf3d1"); +\end{verbatim} + +\hspace{20mm}\input{3Dfig/frustum02} + + Example : It becomes almost a cone when increasing the number of corners. The contour line is drawn as a curved surface with Sfbdparadata. + +\begin{layer}{150}{0} +\putnotese{90}{0}{\input{3Dfig/frustum03}} +\end{layer} + +\begin{verbatim} + frustum("1",108,0,2,4,["Color=yellow"]); + fd=[ + "p", + "x=r*cos(t)","y=r*sin(t)","z=2*(2-r)", + "r=[0,2]","t=[0,2*pi]","e" + ]; + Startsurf(); + Sfbdparadata("1",fd); + ExeccmdC("1"); +\end{verbatim} + +If it is the same size of the upper base and the lower base, it becomes a cylinder. + +%\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$Function] list}\end{flushright} + +\hypertarget{hatch3d}{}\item[Function] hatch3d(name,æ–¹å‘,PD,option) +\item[Description] Hatch the closed curve. The closed curve is such as poly3d (), circle3d (); +Unlike KeTCindy 's Hatchdata (), only the closed curve is the target, so the direction is not in the argument. A color designation can be put in option, and if there is a color designation, hatch is applied with that color. You can not hatch multiple areas. +\item[Return value] none + +Example : Hatch the circle. +\begin{verbatim} + pd=circle3d("1",[1,1,1],[1,1,1],2,["dr,2"]); + hatch3d("1",pd,["Color=red"]); +\end{verbatim} + + \input{3Dfig/hatch1} + +\newpage +\end{description} + +\end{document}
\ No newline at end of file diff --git a/Master/texmf-dist/doc/support/ketcindy/source/spacekc/SpacekcReferenceJ.tex b/Master/texmf-dist/doc/support/ketcindy/source/spacekc/SpacekcReferenceJ.tex new file mode 100644 index 00000000000..8895afad7f4 --- /dev/null +++ b/Master/texmf-dist/doc/support/ketcindy/source/spacekc/SpacekcReferenceJ.tex @@ -0,0 +1,831 @@ +\documentclass[papersize,a4paper,12pt,uplatex]{jsarticle} +\usepackage{ketpic,ketlayer} +\usepackage{amsmath,newtxmath} +\usepackage[dvipdfmx]{graphicx,color} +\usepackage{wrapfig} +\usepackage[dvipdfmx,bookmarks=false,colorlinks=true,linkcolor=blue]{hyperref} +\setmargin{20}{20}{15}{25} + +\begin{document} +\title{Spacekc リファレンスマニュアル} +\author{CinderellaJapan} +\maketitle + +\tableofcontents + +\newpage + +%第１節 åº ======================================= +\section{ã¯ã˜ã‚ã«} +Spacekc ã¯ï¼ŒKeTCindyã®ãŸã‚ã®SpaceCindyã§ã‚る。KeTCindyã®ï¼“Ｄグラフィクスã«ï¼Œç°¡æ˜“レイトレーシングã§è‰²ä»˜ã‘ã‚’ã™ã‚‹ã“ã¨ãŒã§ãる。ã¾ãŸï¼ŒKeTCindyã§æä¾›ã—ã¦ã„ãªã„，空間ã«é–¢ã™ã‚‹è¨ˆç®—ã®ãŸã‚ã®ã„ãã¤ã‹ã®é–¢æ•°ã‚’用æ„ã—ã¦ã„る。é…布ã¯ãƒ©ã‚¤ãƒ–ラリã§ã¯ãªã，スクリプトを記述ã—ãŸãƒ†ã‚ストファイルã‚ã‚‹ã„ã¯Cinderellaã®ãƒ•ã‚¡ã‚¤ãƒ«ã§è¡Œã£ã¦ã„る。 + +ãªãŠï¼ŒSpaceCindykcを用ã„ãŸä½œå›³ã€ä¾‹ã€‘ã¨é…布ã¯ï¼ŒKeTCindy ã®ãƒšãƒ¼ã‚¸ã«æŽ²è¼‰ã—ã¦ã„る。アドレスã¯ä»¥ä¸‹ã®é€šã‚Šã€‚ + +\hspace{10mm} \url{https://sites.google.com/site/KETCindy/home/cindy3d2} + +%第２節 定数 ========================================== +\section{定数} + +\begin{description} +\hypertarget{rpolydata}{} +\item[æ£å¤šé¢ä½“ã®é ‚点座標] Rpolydata +\item[説明] æ£å¤šé¢ä½“ã®é ‚点ã®ãƒªã‚¹ãƒˆã€‚内容ã¯ï¼ŒÏ†=$\cfrac{1+\sqrt{5}}{2}$ を黄金比ã¨ã—ã¦æ¬¡ã®ã‚ˆã†ã«ãªã£ã¦ã„る。 + +æ£å››é¢ä½“：$(0,0,1),\left(\cfrac{2\sqrt{2}}{3},0,-\cfrac{1}{3} \right),\left(-\cfrac{\sqrt{2}}{3},\cfrac{\sqrt{6}}{3},-\cfrac{1}{3} \right),\left(-\cfrac{\sqrt{2}}{3},\cfrac{\sqrt{6}}{3},-\cfrac{1}{3}\right)$ + +æ£å…é¢ä½“：$(-1,-1,1),(1,-1,1),(1,1,1),(-1,1,1),(-1,-1,-1),(1,-1,-1),(1,1,-1),(-1,1,-1)$ + +æ£å…«é¢ä½“：$(0,0,1),(0,-1,0),(1,0,0),(0,1,0),(-1,0,0),(0,0,-1)$ + +æ£å二é¢ä½“：$(0,-1,-φ^2),(0,1,-φ^2),(0,-1,φ^2),(0,1,φ^2),(-1,-φ^2,0),(1,-φ^2,0) $ + +\hspace{15mm} $ (-1,φ^2,0),(1,φ^2,0),(-φ^2,0,-1),(-φ^2,0,1),(φ^2,0,-1),(φ^2,0,1), $ + +\hspace{15mm} $ (-φ,-φ,-φ),(-φ,-φ,φ),(-φ,φ,-φ),(-φ,φ,φ), $ + +\hspace{15mm} $ (φ,-φ,-φ),(φ,-φ,φ),(φ,φ,-φ),(φ,φ,φ)$ + +æ£äºŒåé¢ä½“：$(0,-1,-φ),(0,1,-φ),(0,-1,φ),(0,1,φ),(-φ,0,-1),(-φ,0,1) $ + +\hspace{15mm}$ (φ,0,-1),(φ,0,1),(-1,-φ,0),(1,-φ,0),(-1,φ,0),(1,φ,0)$ + +\vspace{\baselineskip} +\hypertarget{lightpoint}{} +\item[å…‰æºã®æ–¹å‘ベクトル] Lightpoint +\item[説明] 簡易レイトレーシングを行ã†å ´åˆã®å…‰æºã®æ–¹å‘ベクトル。åˆæœŸè¨å®šã¯[-1,1,1] + +\vspace{\baselineskip} +\hypertarget{contrast}{} +\item[コントラスト] Contrast +\item[説明] 簡易レイトレーシングを行ã†å ´åˆã®ï¼Œå…‰ã®ã‚ãŸã‚Šæ–¹ã®ã‚³ãƒ³ãƒˆãƒ©ã‚¹ãƒˆã€‚標準ã¯0以上１以下ã®å®Ÿæ•°ã€‚１を超ãˆã¦ã‚‚よã„ãŒï¼Œé»’ã„部分ãŒå¤šããªã‚‹ã€‚æ画関数㮠option ã§è¨å®šã™ã‚‹ã“ã¨ã‚‚ã§ãる。 + + +\end{description} +\newpage +%第３節 値ã®å–å¾— ========================================== +\section{値ã®å–å¾—} +\begin{description} + +\hypertarget{angle3pt}{} +\item[関数] angle3pt(座標１,座標２, 座標３) +\item[機能] å¹³é¢ä¸Šã§è§’を求ã‚ã‚‹ +\item[戻り値] 点 p1,p2,p3 ã«å¯¾ã—，∠p1p2p3を返㙠+ +\vspace{\baselineskip} + +\hypertarget{pointindomain}{} +\item[関数] pointindomain(座標１,点リスト) +\item[機能] å¹³é¢ä¸Šã§ç‚¹ãƒªã‚¹ãƒˆã®é–‰æ›²ç·šå†…ã«åº§æ¨™ï¼‘ã®ç‚¹ãŒã‚ã‚‹ã‹ã©ã†ã‹ã®åˆ¤å®š +\item[戻り値] é ˜åŸŸå†…ãªã‚‰ï¼‘ï¼Œé ˜åŸŸå¤–ãªã‚‰ï¼ï¼Œå¢ƒç•Œç·šä¸Šãªã‚‰ï¼’ã‚’è¿”ã™ã€‚ + +\vspace{\baselineskip} + +\hypertarget{crosssd}{} +\item[関数] crosssd(座標１,座標２,座標３,座標４) +\item[機能] 座標平é¢ã«ãŠã„ã¦ï¼’本ã®ç·šåˆ†ã‹äº¤ã‚ã‚‹ã‹ã©ã†ã‹ã‚’判æ–ã™ã‚‹ +\item[説明] 座標１,座標２をçµã¶ç·šåˆ†ã¨ï¼Œåº§æ¨™ï¼“，座標４をçµã¶ç·šåˆ†ãŒäº¤ã‚ã‚‹ã‹ã©ã†ã‹ï¼ˆå…±æœ‰ç‚¹ã‚’æŒã¤ã‹ã©ã†ã‹ï¼‰ã‚’判定ã™ã‚‹ã€‚ +\item[戻り値] 交点ãŒã‚ã‚‹å ´åˆã¯ true ，ãªã„å ´åˆã¯ false ã‚’è¿”ã™ã€‚ + +\vspace{\baselineskip} + +\hypertarget{interll}{} +\item[関数] interll(座標１,座標２,座標３,座標４) +\item[機能] 座標空間ã«ãŠã„ã¦ï¼’本ã®ç›´ç·šã®äº¤ç‚¹ã®åº§æ¨™ã‚’求ã‚ã‚‹ +\item[戻り値] 座標１,座標２を通る直線ã¨ï¼Œåº§æ¨™ï¼“，座標４を通る直線ã¨ã®äº¤ç‚¹ã®åº§æ¨™ã‚’è¿”ã™ã€‚ +交点ãŒãªã„å ´åˆã¯ [i,i,i] ã‚’è¿”ã™ã€‚ + +\vspace{\baselineskip} + +\hypertarget{interss}{} +\item[関数] interss(座標１,座標２,座標３,座標４) +\item[機能] 座標空間ã«ãŠã„ã¦ï¼’本ã®ç·šåˆ†ã®äº¤ç‚¹ã®åº§æ¨™ã‚’求ã‚ã‚‹ +\item[戻り値] 座標１,座標２をçµã¶ç·šåˆ†ã¨ï¼Œåº§æ¨™ï¼“，座標４をçµã¶ç·šåˆ†ã¨ã®äº¤ç‚¹ã®åº§æ¨™ã‚’è¿”ã™ã€‚ + 交点ãŒãªã„å ´åˆã¯ [i,i,i] ã‚’è¿”ã™ã€‚ + +\vspace{\baselineskip} +\hypertarget{interpl}{} +\item[関数] interpl(座標１,座標２,座標３,座標４,座標５) +\item[機能] 座標空間ã«ãŠã„ã¦å¹³é¢ã¨ç›´ç·šã®äº¤ç‚¹ã®åº§æ¨™ã‚’求ã‚ã‚‹ +\item[戻り値] 座標１,座標２,座標３ã§æ±ºã¾ã‚‹å¹³é¢ã¨ï¼Œåº§æ¨™ï¼”，座標５を通る直線ã¨ã®äº¤ç‚¹ã®åº§æ¨™ã‚’è¿”ã™ã€‚ + 交点ãŒãªã„å ´åˆã¯ [i,i,i] ã‚’è¿”ã™ã€‚ + +\vspace{\baselineskip} +\hypertarget{interps}{} +\item[関数] interps(座標１,座標２,座標３,座標４,座標５) +\item[機能] 座標空間ã«ãŠã„ã¦å¹³é¢ã¨ç·šåˆ†ã®äº¤ç‚¹ã®åº§æ¨™ã‚’求ã‚ã‚‹ +\item[戻り値] 座標１,座標２,座標３ã§æ±ºã¾ã‚‹å¹³é¢ã¨ï¼Œåº§æ¨™ï¼”，座標５を通る線分ã¨ã®äº¤ç‚¹ã®åº§æ¨™ã‚’è¿”ã™ã€‚ +交点ãŒãªã„å ´åˆã¯ [i,i,i] ã‚’è¿”ã™ã€‚ + + +\hypertarget{distlp}{} +\item[関数] distlp(座標１,座標２, 座標３) +\item[機能] ç›´ç·šã¨ç‚¹ã®è·é›¢ã‚’求ã‚る。(distance of line to point) +\item[説明] 座標１，座標２を通る直線ã¨ï¼Œåº§æ¨™ï¼“ã®ç‚¹ã¨ã®è·é›¢ã‚’求ã‚る。 +\item[戻り値] è·é›¢ã€‚ + + å¹³é¢ä¸Šã®ç‚¹ã§ã‚‚空間ã®ç‚¹ã§ã‚‚よã„。座標１ã¨åº§æ¨™ï¼’ãŒç‰ã—ã„ã¨ãã¯è™šæ•°å˜ä½ i ã‚’è¿”ã™ã¨ã¨ã‚‚ã«ï¼Œã‚³ãƒ³ã‚½ãƒ¼ãƒ«ã«è¦å‘Šã€ŒWarning:p1 is same to p2ã€ã‚’表示ã™ã‚‹ã€‚ +２点をçµã¶ç›´ç·šã®ãƒ™ã‚¯ãƒˆãƒ«æ–¹ç¨‹å¼ $x=x_1+t(x_2-x_1) , y=y_1+t(y_2-y_1)$ を用ã„， +内ç©=ï¼ã‹ã‚‰ t を求ã‚è·é›¢ã‚’計算ã—ã¦ã„る。 + åž‚ç·šã®è¶³ã®ä½ç½®ãƒ™ã‚¯ãƒˆãƒ«ã‚’$h(x,y)$ ã¨ã™ã‚‹ã¨ï¼Œ + + $(\vec{h}-\vec{p3})・(\vec{p2}-\vec{p1})=0$ + + ã‹ã‚‰ + + $t=\dfrac{(\vec{p2}-\vec{p1})・(\vec{p3}-\vec{p1})}{|\vec{p2}-\vec{p1}|^2}$ + + を得る。 + +ã€ä¾‹ã€‘ println(distlp([1,0],[0,1],[0,0])); + +ã§$\cfrac{\sqrt{2}}{2}$ ãŒè¡¨ç¤ºã•ã‚Œã‚‹ã€‚ãªãŠï¼Œplintln() ã«ã‚ˆã‚Šï¼Œã‚³ãƒ³ã‚½ãƒ¼ãƒ«ã«ã¯ 0.71 ãŒè¡¨ç¤ºã•ã‚Œã‚‹ãŒï¼Œå†…部的ã«ã¯å››æ¨äº”å…¥ã—ãŸå€¤ã§ã¯ãªã„ã®ã§ + + println(guess(distlp([1,0],[0,1],[0,0]))); + +ã¨ã™ã‚‹ã¨ï¼Œ1/2*sqrt(2) ã¨è¡¨ç¤ºã•ã‚Œã‚‹ã€‚ + +ã€ä¾‹ã€‘ println(distlp([1,1,0],[0,0,1],[0,0,0])); ã§$\cfrac{\sqrt{6}}{3}$ ãŒè¡¨ç¤ºã•ã‚Œã‚‹ã€‚ãªãŠï¼Œplintln() ã«ã‚ˆã‚Šï¼Œã‚³ãƒ³ã‚½ãƒ¼ãƒ«ã«ã¯ 0.82 ãŒè¡¨ç¤ºã•ã‚Œã‚‹ãŒï¼Œå†…部的ã«ã¯å››æ¨äº”å…¥ã—ãŸå€¤ã§ã¯ãªã„ã®ã§ + println(guess(distlp([1,1,0],[0,0,1],[0,0,0]))); +ã¨ã™ã‚‹ã¨ï¼Œ1/3*sqrt(6) ã¨è¡¨ç¤ºã•ã‚Œã‚‹ã€‚ + +%\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} +\vspace{\baselineskip} +\hypertarget{distpp}{} +\item[関数] distpp(座標１,座標２, 座標３, 座標４) +\item[機能] 座標空間ã§ï¼“点を通る平é¢ã¨ç‚¹ã®è·é›¢ã‚’求ã‚る。 +\item[説明] 座標１，座標２，座標３を通る平é¢ã¨ï¼Œåº§æ¨™ï¼”ã®ç‚¹ã¨ã®è·é›¢ã‚’求ã‚る。 +\item[戻り値] è·é›¢ + +ã€ä¾‹ã€‘ ３点 (2,0,0),(0,2,0),(0,0,2) を通る平é¢ã¨ï¼ŒåŽŸç‚¹ã¨ã®è·é›¢ + + distpp([2,0,0],[0,2,0],[0,0,2],[0,0,0]); 戻り値㯠$\cfrac{2\sqrt{3}}{3}$ + +\vspace{\baselineskip} +\hypertarget{map2d}{} +\item[関数] map2d(座標) +\item[機能] 座標空間ã®ç‚¹ã‚’ç¾åœ¨ã®åº§æ¨™å¹³é¢ã«å°„å½±ã—ãŸç‚¹ã®åº§æ¨™ã‚’求ã‚る。 +\item[説明] 「ç¾åœ¨ã®ã€ã¨ã¯ï¼Œã‚¹ãƒ©ã‚¤ãƒ€ã§è¨å®šã•ã‚ŒãŸè»¸è¨å®šï¼ˆè¦–点）ã«ã‚ˆã‚‹ç”»é¢ã®ã“ã¨ã‚’指ã™ã€‚ + +ã€ä¾‹ã€‘ pt=map2d([1,2,3]); + +ãªãŠï¼ŒKeTCindyã® Parapt() ã¨å…¨ãåŒã˜ã€‚ + +\item[戻り値] å¹³é¢åº§æ¨™ + +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} + +\hypertarget{normalvec}{} +\item[関数] normalvec(座標１,座標２, 座標３) +\item[機能] ３点を通る平é¢ã®å˜ä½æ³•ç·šãƒ™ã‚¯ãƒˆãƒ«ã‚’求ã‚る。 +\item[説明] 座標１，座標２，座標３を通る平é¢ã®å˜ä½æ³•ç·šãƒ™ã‚¯ãƒˆãƒ«ã‚’求ã‚る。 +\item[戻り値] 法線ベクトルを表ã™ãƒªã‚¹ãƒˆã€‚ + + ベクトルã®å‘ãã¯ï¼Œç‚¹ã®é †åºã«ã‚ˆã‚‹ã€‚ + +ã€ä¾‹ã€‘ normalvec([2,0,0],[0,2,0],[0,0,2]); ã®çµæžœã¯ $\left(\cfrac{\sqrt{3}}{3},\cfrac{\sqrt{3}}{3},\cfrac{\sqrt{3}}{3}\right)$ + + normalvec([2,0,0],[0,0,2],[0,2,0]); ã®çµæžœã¯ $\left(-\cfrac{\sqrt{3}}{3},-\cfrac{\sqrt{3}}{3},-\cfrac{\sqrt{3}}{3}\right)$ + +å¹³é¢ã¨ç‚¹ã®è·é›¢ã‚’求ã‚ã‚‹ distpp() を組ã¿åˆã‚ã›ã‚‹ã¨ï¼Œå¹³é¢ã«ä¸‹ã—ãŸåž‚ç·šã®ãƒ™ã‚¯ãƒˆãƒ«ã‚’表示ã§ãる。 +\begin{verbatim} + nv=normalvec([2,0,0],[0,2,0],[0,0,2]); + dd=distpp([2,0,0],[0,2,0],[0,0,2],[0,0,0]); + poly3d("1",[[2,0,0],[0,2,0],[0,0,2]]); + arrow3d("1",[[0,0,0],dd*nv]); + Letter3d([dd*nv,"e","H"]); +\end{verbatim} + + \input{3Dfig/nomalvec01} + +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} + +\hypertarget{onsameplane}{} +\item[関数] onsameplane(pa,pb,pc,pd) +\item[機能] ４点ãŒåŒä¸€å¹³é¢ä¸Šã«ã‚ã‚‹ã‹ã©ã†ã‹ã®åˆ¤å®š +\item[説明] 引数ã¯åˆ¤å®šã™ã‚‹ï¼”点ã®åº§æ¨™ã€‚外ç©ã¨å†…ç©ã‚’用ã„ãŸåˆ¤å®šæ³•ã«ã‚ˆã‚‹ 。 +\item[戻り値] true / false + +%\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} +\vspace{\baselineskip} +\hypertarget{perp}{} +\item[関数] perp(座標１,座標２, 座標３) +\item[機能] ２点を通る直線ã¸ã®åž‚ç·šã®è¶³ã®åº§æ¨™ã‚’求ã‚る。 +\item[戻り値] 座標１，座標２ã®ï¼’点を通る直線ã«ï¼Œåº§æ¨™ï¼“ã®ç‚¹ã‹ã‚‰ä¸‹ã—ãŸåž‚ç·šã®è¶³ã®åº§æ¨™ã‚’è¿”ã™ã€‚ + +\hypertarget{perpvec}{} +\item[関数] perpvec(ベクトル,flag) +\item[機能] ベクトルã«åž‚ç›´ãªå¹³é¢ã®åŸºæœ¬ãƒ™ã‚¯ãƒˆãƒ«ã‚’作る。 +\item[説明] 第1引数ã®ãƒ™ã‚¯ãƒˆãƒ«ã«åž‚ç›´ãªå¹³é¢ä¸Šã«ï¼’ã¤ã®ç›´äº¤ã™ã‚‹ãƒ™ã‚¯ãƒˆãƒ«ã‚’作り，リストã«ã—ã¦è¿”ã™ã€‚ã²ã¨ã¤ã¯ï¼Œzæˆåˆ†ã‚’１ã¨ã—ã¦è¨ˆç®—ã™ã‚‹ã€‚flag ã¯ã‚ªãƒ—ションã§ï¼Œ0ã«ã™ã‚‹ã¨å˜ä½ãƒ™ã‚¯ãƒˆãƒ«ã«ã—ãªã„。デフォルトã¯å˜ä½ãƒ™ã‚¯ãƒˆãƒ«ã€‚ +\item[戻り値] ベクトル。 + +ã€ä¾‹ã€‘perpvec([1,1,1]) ã®çµæžœã¯ [[-0.8165,0.4082,0.4082],[0,-0.7071,0.7071]] + + perpvec([1,1,1],0) ã®çµæžœã¯ [[-2,1,1],[0,-1,1]] + +\vspace{\baselineskip} + +\hypertarget{planecoeff}{} +\item[関数] planecoeff(座標１,座標２, 座標３) +\item[機能] ３点を通る平é¢ã®æ–¹ç¨‹å¼ã®ä¿‚数を求ã‚る。 +\item[説明] 座標１，座標２，座標３ã®ï¼“点を通る平é¢ã®æ–¹ç¨‹å¼ $ax+by+cz=1$ ã®ä¿‚æ•° $a,b,c$ を求ã‚る。 +\item[戻り値] リスト [a,b,c]。係数$a,b,c$ãŒå˜åœ¨ã—ãªã„å ´åˆã¯ã‚³ãƒ³ã‚½ãƒ¼ãƒ«ã«ã€ŒWarning! Cannot decide a coefficient.ã€ã‚’表示ã—，[i,i,i] ã‚’è¿”ã™ã€‚ + + +\vspace{\baselineskip} + +\hypertarget{reflect3d}{} +\item[関数] reflect3d(dlist,mirror) +\item[機能] dlistã®é¡åƒã‚’å¾—ã‚‹ +\item[説明] 第１引数ã¯ï¼Œç‚¹ï¼Œãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ï¼Œé¢ãƒ‡ãƒ¼ã‚¿ã®ã„ãšã‚Œã‹ã€‚第2引数ã®åº§æ¨™ãƒªã‚¹ãƒˆãŒï¼Œ1ã¤ã®ç‚¹ã ã‘ãªã‚‰ï¼Œç‚¹å¯¾ç§°ï¼Œ2ã¤ã®ç‚¹ãªã‚‰ï¼Œãã® 2点をçµã¶ç›´ç·šã«é–¢ã™ã‚‹å¯¾ç§°ç‚¹ï¼Œ3ã¤ã®ç‚¹ãªã‚‰ï¼Œãã®3点ã§æ±ºã¾ã‚‹å¹³é¢ã«é–¢ã™ã‚‹å¯¾ç§°ç‚¹ã¨ãªã‚‹ã€‚ +\item[戻り値] 第1引数ã¨åŒã˜ã‚¿ã‚¤ãƒ—ã®ãƒ‡ãƒ¼ã‚¿ + +KeTCindyã®Refrectdata3d() ã¨ã®é•ã„ã¯ï¼Œæ画をã—ãªã„ã“ã¨ï¼Œå¼•æ•°ãŒï¼Œç‚¹ï¼Œãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ï¼Œé¢ãƒ‡ãƒ¼ã‚¿ã®ã„ãšã‚Œã§ã‚‚よã„ã“ã¨ã§ã‚る。第2引数ã®å½¢ã¯åŒã˜ã€‚ + +\vspace{\baselineskip} + +\hypertarget{rotate3d}{} +\item[関数] rotate3d(dlist,vec,angle,center) +\item[機能] dlistを指定ã—ãŸè§’ã ã‘centerを始点ã¨ã™ã‚‹ãƒ™ã‚¯ãƒˆãƒ«å‘¨ã‚Šã«å›žè»¢ã™ã‚‹ã€‚ +\item[説明] dlistã¯ç‚¹ï¼Œãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ï¼Œé¢ãƒ‡ãƒ¼ã‚¿ã®ã„ãšã‚Œã‹ã€‚ +\item[戻り値] dlistã¨åŒã˜å½¢å¼ã®ãƒ‡ãƒ¼ã‚¿ã€‚ + +KeTCindyã®Rotatedata3d() ã¨ã®é•ã„ã¯ï¼Œæ画をã—ãªã„ã“ã¨ï¼Œå¼•æ•°ãŒï¼Œç‚¹ï¼Œãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ï¼Œé¢ãƒ‡ãƒ¼ã‚¿ã®ã„ãšã‚Œã§ã‚‚よã„ã“ã¨ã§ã‚る。ãã®ä»–ã®å¼•æ•°ã®å½¢å¼ã¯åŒã˜ã€‚ + +ã€ä¾‹ã€‘ angle=[0,0,pi/4]; + p=[1,0,0]; + drawpt3d(rotate3d(p,angle)); + + ã«ã‚ˆã‚Šï¼Œç‚¹(1,0,0)ã‚’z軸回り㫠$\frac{\pi}{4}$ ã ã‘回転ã—ãŸä½ç½®ã«ç‚¹ã‚’打ã¤ã€‚ + +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} + +\hypertarget{translate3d}{} +\item[関数] translate3d(dlist,ベクトル) +\item[機能] dlistを指定ã—ãŸãƒ™ã‚¯ãƒˆãƒ«ã ã‘平行移動。 +\item[説明] dlistã¯ç‚¹ï¼Œãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ï¼Œé¢ãƒ‡ãƒ¼ã‚¿ã®ã„ãšã‚Œã‹ã€‚ +\item[戻り値] dlistã¨åŒã˜å½¢å¼ã®ãƒ‡ãƒ¼ã‚¿ + +KeTCindyã®Translatedata3d() ã¨ã®é•ã„ã¯ï¼Œæ画をã—ãªã„ã“ã¨ï¼Œå¼•æ•°ãŒï¼Œç‚¹ï¼Œãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ï¼Œé¢ãƒ‡ãƒ¼ã‚¿ã®ã„ãšã‚Œã§ã‚‚よã„ã“ã¨ã§ã‚る。ãã®ä»–ã®å¼•æ•°ã®å½¢å¼ã¯åŒã˜ã€‚ + +\vspace{\baselineskip} +\hypertarget{rotmatrix}{} +\item[関数] rotmatrix(vec) +\item[機能] 法線ベクトルã‹ã‚‰å›žè»¢è¡Œåˆ—を作る +\item[説明] 引数ã¯æ³•ç·šãƒ™ã‚¯ãƒˆãƒ«ã€‚ åˆã‚，法線ベクトルã¯[0,0,1]ã§ã‚ã‚‹ã¨ã™ã‚‹ã€‚ã“れを回転ã—ã¦ï¼Œå¼•æ•°ã® vec ã«ãªã‚‹ã‚ˆã†ãªå›žè»¢è¡Œåˆ—を求ã‚る。y軸周り，z軸周りã®é †ã«å›žè»¢ã™ã‚‹è¡Œåˆ—。 +\item[戻り値] 行列 + +\vspace{\baselineskip} + +\hypertarget{vertexrpolyhedron}{} +\item[関数] vertexrpolyhedron(n) +\item[機能] æ£né¢ä½“ã®é ‚点リストをå–å¾—ã™ã‚‹ +\item[説明] nã®å€¤ã¯4,6,8,12,20 ã®ã„ãšã‚Œã‹ã€‚ +\item[戻り値] åŠå¾„１ã®çƒé¢ã«å†…接ã™ã‚‹æ£å¤šé¢ä½“ã®é ‚点リスト。 +é ‚ç‚¹ã®é †ç•ªã¯æ¬¡ã®ã‚ˆã†ã«ãªã£ã¦ã„る。ãã‚Œãžã‚Œã‚¢ãƒ«ãƒ•ã‚¡ãƒ™ãƒƒãƒˆé †ã€‚ + +\input{3Dfig/vertex4} \input{3Dfig/vertex6} +\input{3Dfig/vertex8} \input{3Dfig/vertex12} +\input{3Dfig/vertex20} + +ãªãŠï¼Œã‚¹ã‚¯ãƒªãƒ—ト内ã§ã¯ï¼Œæ¬¡ã®ã‚ˆã†ã«å®šç¾©ã•ã‚Œã¦ã„る。ã“れを，åŠå¾„１ã®çƒé¢ã«å†…接ã™ã‚‹ã‚ˆã†ã«å¤‰æ›ã—ã¦æˆ»ã‚Šå€¤ã¨ã—ã¦ã„る。 + +φ=$\cfrac{1+\sqrt{5}}{2}$ ã¯é»„金比。 + +æ£å››é¢ä½“：$(0,0,1),\left(\cfrac{2\sqrt{2}}{3},0,-\cfrac{1}{3} \right),\left(-\cfrac{\sqrt{2}}{3},\cfrac{\sqrt{6}}{3},-\cfrac{1}{3} \right),\left(-\cfrac{\sqrt{2}}{3},\cfrac{\sqrt{6}}{3},-\cfrac{1}{3}\right)$ + +æ£å…é¢ä½“：$(-1,-1,1),(1,-1,1),(1,1,1),(-1,1,1),(-1,-1,-1),(1,-1,-1),(1,1,-1),(-1,1,-1)$ + +æ£å…«é¢ä½“：$(0,0,1),(0,-1,0),(1,0,0),(0,1,0),(-1,0,0),(0,0,-1)$ + +æ£å二é¢ä½“：$(0,-1,-φ^2),(0,1,-φ^2),(0,-1,φ^2),(0,1,φ^2),(-1,-φ^2,0),(1,-φ^2,0) $ + +\hspace{15mm}$ (-1,φ^2,0),(1,φ^2,0),(-φ^2,0,-1),(-φ^2,0,1),(φ^2,0,-1),(φ^2,0,1), $ + +\hspace{15mm} $ (-φ,-φ,-φ),(-φ,-φ,φ),(-φ,φ,-φ),(-φ,φ,φ), $ + +\hspace{15mm} $((φ,-φ,-φ),(φ,-φ,φ),φ,φ,-φ),(φ,φ,φ)$ + +æ£äºŒåé¢ä½“：$(0,-1,-φ),(0,1,-φ),(0,-1,φ),(0,1,φ),(-φ,0,-1),(-φ,0,1) $ + +\hspace{15mm} $ (φ,0,-1),(φ,0,1),(-1,-φ,0),(1,-φ,0),(-1,φ,0),(1,φ,0)$ + +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} + +\hypertarget{val2tex}{}\item[関数] val2tex(x) +\item[機能] 数値をguess()ã§è§£æžã—ã¦ï¼Œåˆ†æ•°ï¼Œå¹³æ–¹æ ¹ã®TeXã®æ–‡å—列ã«ã—ã¦è¿”ã™ +\item[説明] åˆ†æ•°ï¼Œå¹³æ–¹æ ¹ã§ãªã„å ´åˆã¯guess()ã®çµæžœã‚’ãã®ã¾ã¾è¿”ã™ã€‚ + 計算çµæžœãŒåˆ†æ•°ã‚„å¹³æ–¹æ ¹ã«ãªã‚‹å ´åˆã«ï¼Œã“ã®é–¢æ•°ã‚’é©ç”¨ã—，戻り値ã®å‰å¾Œã«ãƒ‰ãƒ«ãƒžãƒ¼ã‚¯ã‚’ã¤ã‘㦠drawtext()ã§è¡¨ç¤ºã™ã‚Œã°åˆ†æ•°ã‚„å¹³æ–¹æ ¹ã®å½¢ã§è¡¨ç¤ºã•ã‚Œã‚‹ã€‚letter3d() ã§ã‚‚利用ã§ãる。ãŸã ã—，精度ã«ã‚ˆã£ã¦ã¯å¤‰æ›ã§ããªã„å ´åˆã‚‚ã‚る。 + +\item[戻り値] TeXã®æ–‡å—列 + +ã€ä¾‹ã€‘：原点ã‹ã‚‰å¹³é¢ã«ä¸‹ã—ãŸåž‚ç·šã®è¶³ã®åº§æ¨™ã‚’計算ã—ã¦è¡¨ç¤ºã™ã‚‹ã€‚ +\begin{verbatim} + pa=[2,0,0]; + pb=[0,2,0]; + pc=[0,0,2]; + nv=normalvec(pa,pb,pc); + hv=distpp(pa,pb,pc,[0,0,0])*nv; + hvstr=apply(hv,val2tex(#)); + plate3d("1",[pa,pb,pc],["Color=skyblue","Rayoff"]); + poly3d("1",[pa,pb,pc]); + arrow3d("1",[[0,0,0],hv],["size=2"]); + letter3d([pa,"s2",text(pa_1),pb,"s2",text(pb_2),pc,"w2",text(pc_3), + hv,"ne2","H$\left( "+hvstr_1+","+hvstr_2+","+hvstr_3+" \right)$"]); +\end{verbatim} + +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} + +\end{description} +\newpage +%第４節 æç”» ========================================= +\section{æ画関数} + +\textbf{options} + +直線・曲線をæã関数ã®å¼•æ•°ã«ã¯åº§æ¨™ã®ä»–，オプションãŒã‚る。KeTCindyã®ã‚ªãƒ—ションã®ä»–，メッシュ密度，濃度，コントラスト，レイトレーシングã®æœ‰ç„¡ãŒæŒ‡å®šã§ãる。 + +\textbf{＜メッシュ密度＞} + +曲é¢ã‚’æãã¨ã，網目状ã«ã—ã¦æã。ã“ã®ã¨ãã®çµŒç·¯ç·šã®æ•°ã€‚ + +メッシュ密度指定ã¯ï¼Œ"Mesh=[10,15]" ã®ã‚ˆã†ã«ä¸Žãˆã‚‹ã€‚ + +\textbf{＜濃度＞} + +濃度ã¯ï¼ã‹ã‚‰ï¼‘ã¾ã§ã®å®Ÿæ•°ã€‚"Alpha=n" ã§ï¼Œnã¯ï¼ä»¥ä¸Šï¼‘以下。ãŸã¨ãˆã°ï¼Œ"Alpha=0.4"。åˆæœŸè¨å®šã¯ 0.3。 + +ãªãŠï¼Œã€ŒAlphaã€ã¯ï¼ŒCindyScriptã®ã€Œé€æ˜Žåº¦ã€ã¨åŒã˜èªžã§ã‚ã‚‹ãŒï¼Œã“ã“ã§ã¯ï¼Œæ¿ƒæ·¡ã‚’表ã—，１ã®ã¨ããŒæŒ‡å®šã—ãŸè‰²ã§ï¼Œï¼ã«è¿‘ã„ã¨ç™½ã«è¿‘ããªã‚‹ã€‚å‘ã“ã†å´ãŒé€ã‘ã¦è¦‹ãˆã‚‹ã‚ˆã†ã«ãªã‚‹ã‚ã‘ã§ã¯ãªã„。 + +\textbf{＜レイトレーシング＞} + +レイトレーシングã§é™°å½±ã‚’ã¤ã‘ã‚‹ã‹ã©ã†ã‹ã®æŒ‡å®šã€‚"Rayon" ã®ã¨ãé™°ã‚’ã¤ã‘，"Rayoff" ã®ã¨ãã¯é™°å½±ã‚’ã¤ã‘ãªã„。åˆæœŸè¨å®šã¯ "Rayon" + +\textbf{＜éžè¡¨ç¤ºï¼ž} + +戻り値ãŒãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã®æ画関数ã§ï¼Œãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã ã‘ã‚’å–å¾—ã—ãŸã„å ´åˆã«ï¼ŒKeTCindyã¨åŒæ§˜ï¼Œ"nodisp" オプションをã¤ã‘る。 + +\vspace{\baselineskip} +\textbf{æ画関数ã®æˆ»ã‚Šå€¤} + + æ画関数ã®å¹¾ã¤ã‹ã«ã¯æˆ»ã‚Šå€¤ãŒã‚る。ãã‚Œãžã‚Œã®é–¢æ•°ã®èª¬æ˜Žã‚’å‚ç…§ã®ã“ã¨ã€‚ + +%\newpage +\begin{description} + +\hypertarget{grid}{} +\item[関数] grid(範囲１，範囲２，本数，option) +\item[機能] $xy$å¹³é¢ã«æ–¹çœ¼ã‚’表示ã™ã‚‹ã€‚ +\item[説明] 範囲１ã¯$x$軸ã®ç¯„囲，範囲２ã¯$y$軸ã®ç¯„囲。 +\item[戻り値] ãªã— + +本数ã¯ï¼Œå˜ä½(１目盛)ã‚ãŸã‚Šã®æœ¬æ•°ã€‚ + +色，太ã•ãªã©ï¼Œé€šå¸¸ã®optionãŒæœ‰åŠ¹ã€‚ + +引数，optionã¨ã‚‚ãªã—ã§ï¼Œgrid() ã¨ã™ã‚‹ã“ã¨ã‚‚å¯èƒ½ã§ï¼Œãã®å ´åˆã¯ï¼Œç¯„囲をsetaxis() ã§æŒ‡å®šã—ãŸç¯„囲ã¨ã—，å˜ä½ã‚ãŸã‚Š1本ã¨10本ã®æ–¹çœ¼ã‚’æã。 + +方眼ã¯æç”»é¢ã ã‘ã§ï¼ŒTeXã«ã¯å‡ºåŠ›ã•ã‚Œãªã„。 + +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} + +\hypertarget{line3d}{} +\item[関数] line3d(name,座標リスト ,option） +\item[機能] ２点をçµã¶ç›´ç·šã‚’æã +\item[説明] ２点ã®åº§æ¨™ã‚’リストã§ä¸Žãˆã¦ï¼Œï¼“次元空間ã«ç›´ç·šã‚’表示ã™ã‚‹ã€‚ +\item[戻り値] 2点ã®åº§æ¨™ãƒªã‚¹ãƒˆã‚’ãã®ã¾ã¾è¿”ã™ã€‚ + + +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} + +\hypertarget{arrow3d}{} +\item[関数] arrow3d(name,座標リスト ,option） +\item[機能] ２点をçµã¶çŸ¢ç·šã‚’æã +\item[説明] ２点ã®åº§æ¨™ã®ãƒªã‚¹ãƒˆã‚’与ãˆã¦ï¼Œï¼“次元空間ã«çŸ¢ç·šã‚’表示ã™ã‚‹ 。 + option ã¯ï¼Œcolor指定以外ã¯ï¼’次元㮠KeTCindy ã® Arrowdataã¨åŒæ§˜ã€‚ + ãŸã ã—，矢ã˜ã‚Šã«ã¤ã„ã¦ã¯ï¼ŒCinderellaã®ç”»é¢ä¸Šã§ã¯å¤§ãã•ä»¥å¤–ã®ã‚ªãƒ—ションã¯åæ˜ ã•ã‚Œãªã„。 + ã¾ãŸï¼ŒçŸ¢ã˜ã‚Šã«ã¤ã„ã¦ã®ã‚ªãƒ—ションã¯åˆã‚ã«æ›¸ãå¿…è¦ãŒã‚る。 + \item[戻り値] 2点ã®åº§æ¨™ãƒªã‚¹ãƒˆã‚’ãã®ã¾ã¾è¿”ã™ã€‚ + +\vspace{\baselineskip} + ã€ä¾‹ã€‘ ２点$(1,3,2) , (-2,-1,-2)$ ã‚’çµã¶çŸ¢ç·šã‚’表示ã™ã‚‹ã€‚ + +\hspace{10mm} \verb|arrow3d("1",[[1,3,2],[-2,-1,-2]])| + + ã€ä¾‹ã€‘ 矢ã˜ã‚Šã®å¤§ãã•ã‚’ï¼’ã«ã—ã¦ï¼Œå…¨ä½“を赤ã§æã。 + +\hspace{10mm} \verb|arrow3d("1",[[2,0,0],[-1,4,1]],[2,1,1,"dr,2","Color=red"])| + +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} + +\hypertarget{poly3d}{} +\item[関数] poly3d(name,座標リスト,option) +\item[機能] 多角形をæã +\item[説明] リストã§ä¸ŽãˆãŸç‚¹ã‚’çµã¶å¤šè§’形をæã。リストã§ä¸ŽãˆãŸç‚¹ãŒåŒä¸€å¹³é¢ä¸Šã«ãªãã¦ã‚‚ãれらã®ç‚¹ã‚’çµã‚“ã 図形をæã。リストã§ä¸Žãˆã‚‹ç‚¹ã¯é–‰ã˜ã¦ã„ãªãã¦ã‚‚よã„。自動的ã«é–‰ã˜ã¦æã。 +\item[戻り値] æç”»ã—ãŸå¤šè§’å½¢ã®ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ã€‚ + + + ã€ä¾‹ã€‘ ３点$(1,1,1) , (2,2,1),(0,1,-1)$ ã‚’é ‚ç‚¹ã¨ã™ã‚‹ä¸‰è§’形をæã。 +\begin{verbatim} + pd=[[1,1,1],[2,2,1],[0,1,-1]]; + poly3d("1",pd); +\end{verbatim} + +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} + +\hypertarget{plate3d}{} +\item[関数] plate3d(name,座標リスト,option) +\item[機能] 多角形を色塗りã™ã‚‹ +\item[説明] リストã§ä¸ŽãˆãŸç‚¹ã‚’çµã¶å¤šè§’形を色塗りã™ã‚‹ã€‚ç¸å–ã‚Šã¯ã—ãªã„。 +\item[戻り値] 引数ã«ä¸ŽãˆãŸåº§æ¨™ãƒªã‚¹ãƒˆã‚’ãã®ã¾ã¾è¿”ã™ + + Rayoff オプションをã¤ã‘ã‚‹ã¨ï¼Œãƒ¬ã‚¤ãƒˆãƒ¬ãƒ¼ã‚·ãƒ³ã‚°ã‚’è¡Œã‚ãªã„。 + + ã€ä¾‹ã€‘：３点$(1,1,1) , (2,2,1),(0,1,-1)$ ã‚’é ‚ç‚¹ã¨ã™ã‚‹ä¸‰è§’形を赤ã§å¡—ã‚‹ +\begin{verbatim} + pd=[[1,1,1],[2,2,1],[0,1,-1]]; + plate3d("1",pd,["Color=Red"]); +\end{verbatim} + +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} + +\hypertarget{circle3d}{} +\item[関数] circle3d(name,ä¸å¿ƒ,法線ベクトル,åŠå¾„,option) +\item[機能] 円をæã +\item[説明] ä¸å¿ƒ,åŠå¾„ã¨æ³•ç·šãƒ™ã‚¯ãƒˆãƒ«ã‚’与ãˆã¦å††ã‚’æã。 +\item[戻り値] 円ã®ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ + + ã€ä¾‹ã€‘：ä¸å¿ƒ $(1,1,1)$,åŠå¾„2，法線ベクトルãŒ(1,1,1)ã§ã‚る円を太ã•ï¼’，赤ã§æã。 + +\verb| circle3d("1",[1,1,1],[1,1,1],2,["dr,2","Color=Red"]); | + +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} + +\hypertarget{drawarc3d}{} +\item[関数] drawarc3d(name,ä¸å¿ƒ,法線ベクトル,åŠå¾„,範囲,option) +\item[機能] 弧をæã +\item[説明] ä¸å¿ƒ,åŠå¾„ã¨æ³•ç·šãƒ™ã‚¯ãƒˆãƒ«ã‚’与ãˆã¦æã円ã®ä¸€éƒ¨ã¨ã—ã¦å¼§ã‚’æã。 + +円ã¯ï¼Œ$x=r \cos \theta,y=r \sin \theta$ ã§æã，法線ベクトルã§æ±ºã¾ã‚‹å›žè»¢è¡Œåˆ—ã§å›žè»¢ã—ã¦ã„る。 + +\item[戻り値] 弧ã®ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ + + ã€ä¾‹ã€‘：ä¸å¿ƒ $(1,1,1)$,åŠå¾„2，法線ベクトルãŒ(-1,1,1)ã§ã‚る弧をæã。 + +\verb| drawarc3d("1",[1,1,1],[-1,1,1],2,[0,2*pi/3]); | + +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} + +\hypertarget{disc3d}{} +\item[関数] disc3d(name,ä¸å¿ƒ,法線ベクトル,åŠå¾„,option) +\item[機能] ä¸ã‚’色塗りã—ãŸå††ç›¤ã‚’æã +\item[説明] ä¸å¿ƒ,åŠå¾„ã¨æ³•ç·šãƒ™ã‚¯ãƒˆãƒ«ã‚’与ãˆã¦å††ç›¤ã‚’æã。ç¸å–ã‚Šã¯ã—ãªã„。 +\item[戻り値] 円ã®ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ + + Rayoff オプションをã¤ã‘ã‚‹ã¨ï¼Œãƒ¬ã‚¤ãƒˆãƒ¬ãƒ¼ã‚·ãƒ³ã‚°ã‚’è¡Œã‚ãªã„。 + + ã€ä¾‹ã€‘：ä¸å¿ƒ $(1,1,1)$,åŠå¾„2，法線ベクトルãŒ(1,1,1)ã§ã‚る円盤を赤，é€æ˜Žåº¦0.4ã§æã。 + + \verb| disc3d("1",[1,1,1],[1,1,1],2,["Color=Red","Alpha=0.4"]); | + +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} + +\hypertarget{drawsphere}{} +\item[関数] drawsphere(name,ä¸å¿ƒ,åŠå¾„,opton) +\item[機能] çƒé¢ã‚’æã +\item[説明] ä¸å¿ƒã¨åŠå¾„を指定ã—ã¦çƒé¢ã‚’æã。 +çƒé¢ã‚’簡易レイトレーシングを用ã„ã¦ã‚°ãƒ©ãƒ‡ãƒ¼ã‚·ãƒ§ãƒ³ã‚’ã‹ã‘ã¦æã。 çƒé¢ã‚’網目状ã«åˆ†ã‘ã¦è‰²å¡—ã‚Šã‚’ã—ã¦ã„る。 + +引数ã¯ï¼Œä¸å¿ƒã®åº§æ¨™ï¼ŒåŠå¾„，option。 + +åŠå¾„ã¯ï¼Œx軸，y軸，z軸方å‘ã«ã¤ã„ã¦ãƒªã‚¹ãƒˆã«ã—ã¦æŒ‡å®šã™ã‚‹ã“ã¨ã‚‚ã§ãる。 + +æç”»ã«ã¯æ™‚é–“ãŒã‹ã‹ã‚‹ã€‚ã‚ã¾ã‚Šã«ã‚‚時間ãŒã‹ã‹ã‚Šã™ãŽã‚‹å ´åˆã¯ï¼Œ "Mesh=[10,10]" をオプションã«ã¤ã‘ã¦æç”»ã—ã¦ã¿ã‚‹ã€‚ã“ã‚Œã§æã‘ã‚Œã°ç·¨ã¿ç›®ã‚’ç´°ã‹ãã™ã‚‹ã€‚åˆæœŸå€¤ã¯"Mesh=[30,20]"。 +\item[戻り値] ãªã— + +\vspace{\baselineskip} +ã€ä¾‹ã€‘原点ä¸å¿ƒï¼ŒåŠå¾„ï¼’ã®çƒé¢ï¼ˆä¸‹å›³å·¦ï¼‰ + +\verb|drawsphere("1",[0,0,0],2) | + + ä¸å¿ƒãŒ(0,0,2)，åŠå¾„㌠[1,1,2] ：楕円形ã®çƒã‚’ç·‘ã§æã（下図å³ï¼‰ + +\verb|drawsphere("1",[0,0,2],[1,1,2],["Color=green","Mesh=[20,20]"])| + + \input{3Dfig/sphere01} \hspace{10mm} \input{3Dfig/sphere02} + +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} + +\hypertarget{quasisphere}{} +\item[関数] quasisphere(name,ä¸å¿ƒ,åŠå¾„,fill,option) +\item[機能] ç–‘ä¼¼çƒé¢ã‚’æã +\item[説明] ä¸å¿ƒã¨åŠå¾„を指定ã—ã¦ç–‘ä¼¼çƒé¢ã‚’æã。 +座標軸を動ã‹ã—ã¦ã‚‚常ã«æ³•ç·šãƒ™ã‚¯ãƒˆãƒ«ãŒè¦–点をå‘ã„ãŸå††ã‚’æãã®ã§ï¼Œçƒé¢åŒæ§˜ã«è¦‹ãˆã‚‹ã€‚ã—ã‹ã—実際ã«ã¯é¢ã§ã¯ãªã„。 ã—ãŸãŒã£ã¦ï¼Œé™°ç·šå‡¦ç†ã¯ã—ãªã„。 + +引数ã¯ï¼Œä¸å¿ƒã®åº§æ¨™ï¼ŒåŠå¾„，fill , option。 + +fill ã¯å¡—ã‚Šã¤ã¶ã™ã‹ã©ã†ã‹ã§ï¼Œ1ãªã‚‰å¡—ã‚Šã¤ã¶ã™ï¼ˆåˆæœŸå€¤ï¼‰ï¼Œ0 ãªã‚‰å¡—らãªã„。 + +fill ã¯çœç•¥å¯èƒ½ã€‚ + +\item[戻り値] 円ã®ãƒ—ãƒãƒƒãƒˆãƒ‡ãƒ¼ã‚¿ + +\vspace{\baselineskip} +ã€ä¾‹ã€‘ \verb|quasisphere("1",[0,0,1],1,0]);| + + \input{3Dfig/sphere03} + +陰線処ç†ã‚’ã—ãªã„分，Sfbdparadata() 㨠ExeccmdC() ã§æãより速ã„。ã“れを用ã„ã¦ï¼Œæ¬¡ã®ã‚ˆã†ãªã‚¹ã‚¯ãƒªãƒ—トを作るã¨ï¼Œç–‘ä¼¼çƒé¢ã§å分ã§ã‚ã‚‹ã“ã¨ãŒã‚ã‹ã‚‹ã€‚ + +\begin{verbatim} +pd1=quasisphere("1",[0,0,0],2,0,["nodisp"]); +pd2=circle3d("1",[0,0,0],[0,1,sqrt(3)],2,["nodisp"]); +pd3=circle3d("2",[0,0,-1],[0,0,1],sqrt(3),["nodisp"]); +sp=apply(pd1,map2d(#)); +su1=apply(pd2,map2d(#)); +su2=apply(pd3,map2d(#)); +Listplot("1",sp,["nodisp"]); +Listplot("2",su1); +Listplot("3",su2,["Color=blue"]); +int1=Intersectcrvs("sg1","sg2"); +int2=Intersectcrvs("sg1","sg3"); +println(int1); +println(int2); +p1=int1_1; +p2=int1_2; +p3=int2_1; +p4=int2_2; +Partcrv("1", p2, p1, "sg1"); +Partcrv("2", p3, p4, "sg3",["nodisp"]); +Partcrv("3", p4, p3, "sg1",["nodisp"]); +Joincrvs("1",["part2","part3"],["nodisp"]); +Shade(["join1"],["Color=[0.2,0,0,0]"]); +\end{verbatim} + +スライダを動ã‹ã—ã¦è¦–点を変ãˆãŸã¨ã，次ã®ã‚ˆã†ã«ãªã‚‹ã€‚ + + \input{3Dfig/sphere04} \hspace{10mm} \input{3Dfig/sphere05} + + ãªãŠï¼Œã“ã®ã‚¹ã‚¯ãƒªãƒ—トを実行ã—ãŸã¨ã，視点ã«ã‚ˆã£ã¦äº¤ç‚¹ int1 , int2 ã®æ•°ãŒå¤‰ã‚ã‚‹ã®ã§ï¼Œã‚³ãƒ³ã‚½ãƒ¼ãƒ«ã«è¡¨ç¤ºã•ã‚ŒãŸã‚‚ã®ã‚’見ã¦ï¼Œ\verb|p1,p2,p3,p4| ã‚’è¨å®šã™ã‚‹å¿…è¦ãŒã‚る。 + +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} + +\hypertarget{polyhedron}{} +\item[関数] polyhedron(name,é¢ãƒ‡ãƒ¼ã‚¿,option) +\item[機能] é¢ã‚’色塗りã—ãŸå¤šé¢ä½“ã‚’æã +\item[説明] ç¸å–ã‚Šã¯ã—ãªã„。 +\item[戻り値] 引数ã®é¢ãƒ‡ãƒ¼ã‚¿ã‚’ãã®ã¾ã¾è¿”ã™ + + Rayoff オプションをã¤ã‘ã‚‹ã¨ï¼Œãƒ¬ã‚¤ãƒˆãƒ¬ãƒ¼ã‚·ãƒ³ã‚°ã‚’è¡Œã‚ãªã„。 + +\vspace{\baselineskip} + ã€ä¾‹ã€‘ 立方体ABCD-EFGHを，B,D,Gを通る平é¢ã§åˆ‡ã£ã¦ã§ãã‚‹éŒä½“ã‚’ç·‘ã§æã。 + +\hspace{30mm}\input{3Dfig/polyhedron01} + + é ‚ç‚¹B,C,D,Gã«å¯¾ã—，é¢ãƒªã‚¹ãƒˆã‚’次ã®ã‚ˆã†ã«ä½œã‚‹ã€‚ + + ã¾ãšï¼Œé ‚点 B,C,D,G ã«ç•ªå·1,2,3,4 ã‚’ã¤ã‘る。 + + é¢BCGã¯å¤–å´ã‹ã‚‰è¦‹ã¦å時計回り㫠B,C,G ãªã®ã§ [1,2,4] + + é¢CDGã¯åŒæ§˜ã« C,D,G ãªã®ã§ [2,3,4] + + é¢DGBã¯åŒæ§˜ã« D,B,G ãªã®ã§ [3,1,4] + + 底é¢BCDã¯å¤–å´ã‹ã‚‰è¦‹ã¦å時計回り㫠B,D,C ãªã®ã§ [1,3,2] + + ãã“ã§ï¼ŒB,C,D,G ã®åº§æ¨™ã‚’p1,p2,p3,p4ã¨ã—ã¦ï¼Œæ¬¡ã®ã‚ˆã†ã«ã—ã¦é¢ãƒ‡ãƒ¼ã‚¿ \verb|fd| を作る。 +\begin{verbatim} + p1=[2,0,0]; + p2=[2,2,0]; + p3=[0,2,0]; + p4=[2,2,2]; + fd=[[p1,p2,p3,p4],[[1,2,4],[2,3,4],[3,1,4],[1,3,2]]]; +\end{verbatim} + +ã“ã®é¢ãƒ‡ãƒ¼ã‚¿ã‚’使ã£ã¦ + + \verb| polyhedron("1",fd,["Color=Green"])| + +ã¨ã™ã‚Œã°ï¼ŒéŒä½“ãŒæã‹ã‚Œã‚‹ã€‚ + +\hspace{30mm}\input{3Dfig/polyhedron02} + +ã€ä¾‹ã€‘å°æž—・鈴木・三谷ã«ã‚ˆã‚‹ 多é¢ä½“データ polyhedrons\_obj を用ã„ãŸå¤šé¢ä½“ã‚’æã。 + データã¯ï¼Œæ£å¤šé¢ä½“，åŠæ£å¤šé¢ä½“，ジョンソンã®ç«‹ä½“ã§ï¼Œ + +\url{http://mitani.cs.tsukuba.ac.jp/polyhedron/index.html } + + ã«ã‚る。ã“ã®ãƒ‡ãƒ¼ã‚¿ã‚’æ ¼ç´ã—ãŸãƒ•ã‚©ãƒ«ãƒ€ polyhedrons\_obj ã¸ã®ãƒ‘スを \verb|Setdirectory()| ã§æŒ‡å®šã—，\verb|Readobj()| ã§èªã¿è¾¼ã‚€ã€‚ãŸã¨ãˆã°ï¼Œãƒ¯ãƒ¼ã‚¯ãƒ‡ã‚£ãƒ¬ã‚¯ãƒˆãƒªï¼ˆfigフォルダ）ã«ç½®ã„ãŸå ´åˆã¯ï¼Œ + +\begin{layer}{150}{0} +\putnotese{80}{0}{\input{3Dfig/polyhedron03}} +\end{layer} + +\begin{verbatim} + Setdirectory(Dirwork+"/polyhedrons_obj"); + polydt=Readobj("s06.obj"); + Setdirectory(Dirwork); + fd=[2*polydt_1,polydt_2]; + polyhedron("1",fd); +\end{verbatim} +ã§å³ã®ã‚ˆã†ãªå›³ãŒã§ãる。 + +ãªãŠï¼Œ\verb|fd=[2*polydt_1,polydt_2]| ã§ï¼Œé ‚点ã®åº§æ¨™ã‚’2å€ã«ã—ã¦ã„る。 + +稜線をæãã®ã§ã‚れ㰠+ +\begin{verbatim} +VertexEdgeFace("1",fd); +Nohiddenbyfaces("1","phe3d1","phf3d1"); +\end{verbatim} +ã‚’è¿½åŠ ã™ã‚Œã°ã‚ˆã„。 + +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} + +\hypertarget{convexhedron}{} +\item[関数] convexhedron(name,é ‚ç‚¹ãƒªã‚¹ãƒˆ,å€çŽ‡,option) +\item[機能] 凸型多é¢ä½“ã‚’æã +\item[説明] é ‚ç‚¹ãƒªã‚¹ãƒˆã‚’ä¸Žãˆã¦é¢ã‚’å¡—ã£ãŸå‡¸åž‹å¤šé¢ä½“ã‚’æã。å€çŽ‡ã¯ï¼Œé ‚点リストã«å¯¾ã—ã¦å®Ÿéš›ã«æç”»ã™ã‚‹ã‚µã‚¤ã‚ºã¸ã®å€çŽ‡ã€‚1ã®ã¨ãã¯çœç•¥ã§ãる。 +\item[戻り値] æç”»ã—ãŸé¢ãƒ‡ãƒ¼ã‚¿ã€‚ + +\vspace{\baselineskip} +ã€ä¾‹ã€‘底é¢ãŒäº”角形ã®å‡¸åž‹å¤šé¢ä½“ +\begin{verbatim} + th=2*pi/5; + pd=apply(1..5,[cos(#*th),sin(#*th),0]); + pd=pd++apply(1..5,[2*cos(#*th),2*sin(#*th),1]); + pd=append(pd,[0,0,2]); + println(pd); + fd=convexhedron("1",pd) +\end{verbatim} +\hspace{20mm}\input{3Dfig/convexhedron} + +稜線をæãã®ã§ã‚ã‚Œã°ï¼Œæˆ»ã‚Šå€¤ã‚’利用ã—㦠+ +\begin{verbatim} + fd=convexhedron("1",pd); + VertexEdgeFace("1",fd); + Nohiddenbyfaces("1","phe3d1","phf3d1"); +\end{verbatim} +ã¨ã™ã‚Œã°ã‚ˆã„。 + +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} + +\hypertarget{rpolyhedron}{} +\item[関数] rpolyhedron(name，é¢æ•°,åŠå¾„,option) +\item[機能] é¢ã‚’色塗りã—ãŸæ£å¤šé¢ä½“ã‚’æã +\item[説明] æ£å¤šé¢ä½“ã¯ï¼•ç¨®é¡žã‚り，Spacekcã«ã¯ãƒ‡ãƒ¼ã‚¿ãŒçµ„ã¿è¾¼ã¾ã‚Œã¦ã„る。\hyperlink{rpolydata}{æ£å¤šé¢ä½“ã®é ‚点座標}ã‚’å‚ç…§ã®ã“ã¨ã€‚ã“れを用ã„ã¦ï¼Œé¢ã®æ•°ã¨å¤–接çƒã®åŠå¾„を指定ã™ã‚Œã°æ£å¤šé¢ä½“ã‚’æãã“ã¨ãŒã§ãる。 +\item[戻り値] æç”»ã—ãŸé¢ãƒ‡ãƒ¼ã‚¿ + +\vspace{\baselineskip} + ã€ä¾‹ã€‘ é¢ã‚’黄色ã§å¡—ã£ãŸæ£å二é¢ä½“ã‚’æã + +\verb| rpolyhedron("1",6,2,["Color=yellow"]);| + +\hspace{20mm}\input{3Dfig/rpolyhedron} + +稜線をæãã®ã§ã‚ã‚Œã°ï¼Œæˆ»ã‚Šå€¤ã‚’利用ã—㦠+\begin{verbatim} +fd=rpolyhedron("1",12,2,["Color=yellow"]); +VertexEdgeFace("1",fd); +Nohiddenbyfaces("1","phe3d1","phf3d1"); +\end{verbatim} +ã¨ã™ã‚Œã°ã‚ˆã„。 + +\vspace{\baselineskip} +＜å‚考＞æ£å¤šé¢ä½“ã®ã‚µã‚¤ã‚º + +rpolyhedron() ã§ã¯ï¼ŒæŒ‡å®šã—ãŸåŠå¾„ã®çƒé¢ã«å†…接ã™ã‚‹ã‚µã‚¤ã‚ºã§æç”»ã™ã‚‹ã€‚ã“ã“ã§ï¼Œãã®åŠå¾„ã¨è¾ºã®é•·ã•ã®é–¢ä¿‚ã‚’ã‚ã’ã¦ãŠã。ã“ã“ã§ï¼Œ$\phi=\cfrac{1+\sqrt{5}}{2}$ + + \input{3Dfig/rpolytable} + +ã€ä¾‹ã€‘ 一辺ã®é•·ã•ãŒï¼’ã®æ£å…é¢ä½“ã‚’æã +\begin{verbatim} + rpolyhedron(6,sqrt(3),["dr,2"]); +\end{verbatim} + +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} + + +\hypertarget{rfrustum}{} +\item[関数] frustum(name,n,r1,r2,h,option) +\item[機能] æ£è§’éŒï¼ˆå°ï¼‰ã®é¢ã‚’å¡—ã‚‹ +n：角ã®æ•° + +r1,r2：上底，下底ã®å¤–接円ã®åŠå¾„ + +h：高㕠+ +\vspace{\baselineskip} + ã€ä¾‹ã€‘ æ£å…角éŒå°ã‚’æã + +\verb| frustum("1",6,1,2,3,["Color=yellow"]);| + +\hspace{20mm}\input{3Dfig/frustum01} + +稜線をæãã®ã§ã‚ã‚Œã°ï¼Œæˆ»ã‚Šå€¤ã‚’利用ã—㦠+\begin{verbatim} + fd=frustum("1",6,1,2,3,["Color=yellow"]); + VertexEdgeFace("1",fd); + Nohiddenbyfaces("1","phe3d1","phf3d1"); +\end{verbatim} +ã¨ã™ã‚Œã°ã‚ˆã„。 + + ã€ä¾‹ã€‘ 上底ã®å¤–接円ã®åŠå¾„ã‚’ï¼ã«ã™ã‚Œã°æ£å…角éŒã«ãªã‚‹ã€‚ （座標軸éžè¡¨ç¤ºï¼‰ + +\begin{verbatim} + fd=frustum("1",6,0,2,3,["Color=yellow"]); + VertexEdgeFace("1",fd); + Nohiddenbyfaces("1","phe3d1","phf3d1"); +\end{verbatim} + +\hspace{20mm}\input{3Dfig/frustum02} + + ã€ä¾‹ã€‘ 角数を多ãã™ã‚‹ã¨ã»ã¨ã‚“ã©å††éŒã«ãªã‚‹ã€‚輪éƒç·šã¯Sfbdparadataã§æ›²é¢ã¨ã—ã¦æã。 + +\begin{verbatim} + frustum("1",108,0,2,4,["Color=yellow"]); + fd=[ + "p", + "x=r*cos(t)","y=r*sin(t)","z=2*(2-r)", + "r=[0,2]","t=[0,2*pi]","e" + ]; + Startsurf(); + Sfbdparadata("1",fd); + ExeccmdC("1"); +\end{verbatim} + +\hspace{20mm}\input{3Dfig/frustum03} + +上底ã¨ä¸‹åº•ã‚’åŒã˜ã‚µã‚¤ã‚ºã«ã™ã‚Œã°å††æŸ±ã«ãªã‚‹ã€‚ + +\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} + +\hypertarget{hatch3d}{}\item[関数] hatch3d(name,æ–¹å‘,PD,option) +\item[機能] 閉曲線ã«ãƒãƒƒãƒã‚’ã‹ã‘る。 +\item[説明] 閉曲線ã¯ï¼Œpoly3d() , circle3d(); ã§æã„ãŸã‚‚ã®ãªã©ã€‚ +KeTCindy ã®Hatchdata() ã¨ç•°ãªã‚Šï¼Œé–‰æ›²ç·šã ã‘ãŒå¯¾è±¡ãªã®ã§ï¼Œæ–¹å‘ã¯å¼•æ•°ã«ãªã„。optionã«ã¯è‰²æŒ‡å®šã‚’入れるã“ã¨ãŒã§ã，色指定ãŒã‚ã‚Œã°ãã®è‰²ã§ãƒãƒƒãƒã‚’ã‹ã‘る。 複数ã®é ˜åŸŸã«ãƒãƒƒãƒã‚’ã‹ã‘ã‚‹ã“ã¨ã¯ã§ããªã„。 +\item[戻り値] ãªã— + +ã€ä¾‹ã€‘ 円ã«ãƒãƒƒãƒã‚’ã‹ã‘る。 +\begin{verbatim} + pd=circle3d("1",[1,1,1],[1,1,1],2,["dr,2"]); + hatch3d("1",pd,["Color=red"]); +\end{verbatim} + + \input{3Dfig/hatch1} + +\newpage +\end{description} + + +% 関数一覧 ================================ +\hypertarget{functionlist}{} +\section{関数一覧} +KeTCindy ã®é–¢æ•°åãŒå¤§æ–‡å—ã§å§‹ã¾ã‚‹ã®ã«å¯¾ã—，Spacekcã®é–¢æ•°åã¯å°æ–‡å—ã§å§‹ã¾ã‚‹ã€‚ãŸã ã—，若干例外ãŒã‚る。\\ + +\begin{tabbing} +123456789012345678901234567890123456789\=\kill +ã€å®šæ•°ã€‘\\ +\hyperlink{lightpoint}{Lightpoint} \> å…‰æºã®æ–¹å‘ベクトル\\ +\hyperlink{contrast}{Contrast} \> コントラスト\\ +\hyperlink{rpolydata}{Rpolydata} \> æ£å¤šé¢ä½“ã®é ‚点リスト\\ + +ã€å€¤ã®å–得】\\ +\hyperlink{angle3pt}{angle3pt}(座標,座標,座標) \>å¹³é¢ä¸Šã®ï¼“点p1,p2,p3 ã«å¯¾ã—角p1p2p3ã‚’è¿”ã™\\ +\hyperlink{pointindomain}{pointindomain}(座標,点リスト) \> å¹³é¢ä¸Šã§ç‚¹ãŒé–‰æ›²ç·šå†…ã«ã‚ã‚‹ã‹ã©ã†ã‹ã®åˆ¤å®š\\ +\hyperlink{distlp}{distlp}(座標,座標,座標) \>２点を通る直線ã¨ç‚¹ã®è·é›¢ã‚’å–å¾—ã™ã‚‹\\ +\hyperlink{distpp3d}{distpp3d}(座標,座標,座標,座標) \>座標空間ã§ï¼“点を通る平é¢ã¨ç‚¹ã®è·é›¢ã‚’å–å¾—ã™ã‚‹\\ +\hyperlink{map2d}{map2d}(座標) \>空間座標を座標平é¢ã«å°„å½±ã—ãŸç‚¹ã®åº§æ¨™ã‚’å–å¾—ã™ã‚‹\\ +\hyperlink{nomalvec}{nomalvec}(座標,座標,座標) \>３点を通る平é¢ã®æ³•ç·šå˜ä½ãƒ™ã‚¯ãƒˆãƒ«ã‚’å–å¾—ã™ã‚‹\\ +\hyperlink{perp}{perp}(座標,座標,座標) \>座標空間ã§ï¼’点を通る直線ã¸ã®åž‚ç·šã®è¶³ã®åº§æ¨™ã‚’å–å¾—ã™ã‚‹\\ +\hyperlink{perpvec}{perpvec}(ベクトル,flag) \>ベクトルã«åž‚ç›´ãªå¹³é¢ä¸Šã«ç›´äº¤ã™ã‚‹åŸºæœ¬ãƒ™ã‚¯ãƒˆãƒ«ã‚’ã¨ã‚‹\\ +\hyperlink{planecoeff}{planecoeff}(座標,座標,座標) \>座標空間ã§ï¼“点を通る平é¢ã®æ–¹ç¨‹å¼ã®ä¿‚æ•°ã‚’å–å¾—ã™ã‚‹\\ +\hyperlink{crosssd}{crosssd}(座標,座標,座標,座標) \>座標平é¢ã§ï¼’ã¤ã®ç·šåˆ†ãŒäº¤ã‚ã‚‹ã‹ã©ã†ã‹ã®åˆ¤æ–\\ +\hyperlink{interpl}{interpl}(座標,座標,座標,座標,座標) \>å¹³é¢ã¨ç›´ç·šã®äº¤ç‚¹ã®åº§æ¨™ã‚’求ã‚ã‚‹\\ +\hyperlink{interps}{interps}(座標,座標,座標,座標,座標) \>å¹³é¢ã¨ç·šåˆ†ã®äº¤ç‚¹ã®åº§æ¨™ã‚’求ã‚ã‚‹\\ +\hyperlink{reflect3d}{reflect3d}(リスト,リスト) \>データã®é¡åƒã‚’å¾—ã‚‹\\ +\hyperlink{rotate3d}{rotate3d}(座標,角リスト) \>データを回転ã™ã‚‹\\ +\hyperlink{translate3d}{translate3d}(リスト,ベクトル) \>データを平行移動ã™ã‚‹\\ +\hyperlink{vertexrpolyhedron}{vertexrpolyhedron}(æ•°) \>æ£å¤šé¢ä½“ã®é ‚点リストをå–å¾—ã™ã‚‹\\ + +ã€æ画】\\ +\hyperlink{grid}{grid}() \>$xy$å¹³é¢ã®æ–¹çœ¼ã®æç”»\\ +\hyperlink{line3d}{line3d}(name,list,option）\>２点をçµã¶ç›´ç·šã‚’æã\\ +\hyperlink{arrow3d}{arrow3d}(name,list,option） \>２点をçµã¶çŸ¢ç·šã‚’æã\\ +\hyperlink{poly3d}{poly3d}(name,list,option) \>多角形をæã\\ \hyperlink{circle3d}{circle3d}(name,center, r,vec,option) \>円をæã\\ +\hyperlink{drawarc3d}{circle3d}(name,center, r,vec,range,option) \>弧をæã\\ +\hyperlink{plate3d}{plate3d}(name,list,option) \>多角形を色塗りã™ã‚‹\\ +\hyperlink{disc3d}{disc3d}(name,center, r, vec,option) \>ä¸ã‚’å¡—ã£ãŸå††ç›¤ã‚’æã\\ +\hyperlink{drawsphere}{drawsphere}(name,center,r,option) \>çƒé¢ã‚’æã\\ +\hyperlink{quasisphere}{quasisphere}(name,center,r,option) \>çƒé¢ã®ã‚ˆã†ãªã‚‚ã®ã‚’æã\\ +\hyperlink{frustum}{frustum}(name,fn,r1,r2,h, option) \>角éŒå°ã‚’æã\\ +\hyperlink{polyhedron}{polyhedron}(name,fd,option) \>é¢ã‚’色塗りã—ãŸå¤šé¢ä½“ã‚’æã\\ +\hyperlink{rpolyhedron}{rpolyhedron}(name,fn,r,option) \>é¢ã‚’色塗りã—ãŸæ£å¤šé¢ä½“ã‚’æã\\ +\hyperlink{convexhedron}{convexhedron}(name,pd,size,option) \>é¢ã‚’色ã¬ã‚Šã—ãŸå‡¸åž‹å¤šé¢ä½“ã‚’æã\\ +\hyperlink{hatch3d}{hatch3d}(name,direc,PD,option) \> 閉曲線ã«ãƒãƒƒãƒã‚’ã‹ã‘ã‚‹\\ + +\end{tabbing} + +\end{document}
\ No newline at end of file diff --git a/Master/texmf-dist/scripts/ketcindy/ketlib/ketcindylib3dlogr.txt b/Master/texmf-dist/scripts/ketcindy/ketlib/ketcindylib3dlogr.txt index 9b60514ba5d..de1caada09d 100644 --- a/Master/texmf-dist/scripts/ketcindy/ketlib/ketcindylib3dlogr.txt +++ b/Master/texmf-dist/scripts/ketcindy/ketlib/ketcindylib3dlogr.txt @@ -1,3 +1,7 @@ +// 20190128 +// Vertexedgeface changed ( size of point name, drawpoint ) +// 20190127 +// Nohiddenseg debugged ( for changing Ltype ) // 20181218 // Letter3d,Expr3d added // 20181212 diff --git a/Master/texmf-dist/scripts/ketcindy/ketlib/ketcindylib3dr.cs b/Master/texmf-dist/scripts/ketcindy/ketlib/ketcindylib3dr.cs index 7f378e9cd87..e4e59151022 100644 --- a/Master/texmf-dist/scripts/ketcindy/ketlib/ketcindylib3dr.cs +++ b/Master/texmf-dist/scripts/ketcindy/ketlib/ketcindylib3dr.cs @@ -14,7 +14,7 @@ // along with this program. If not, see <http://www.gnu.org/licenses/> // -println("ketcindylib3d(20181218) loaded"); +println("ketcindylib3d(20190128) loaded"); //help:start(); @@ -625,7 +625,7 @@ Subgraph(name3,opcindy):=( //181029 ); tmp=name+"="+Textformat(sub2d,5); parse(tmp); - GCLIST=append(GCLIST,[name,0,opcindy]); + GCLIST=append(GCLIST,[name,[0,1],opcindy]); //190127 sub2d; ); ////%Subgraph end//// @@ -1189,6 +1189,7 @@ Xyzaxparaname(Xrange,Yrange,Zrange,options):=( ); ////%Xyzax3paraname end//// +////%Datalist3d start//// Datalist3d():=( //help:Datalist3d(); regional(out,tmp,tmp2,tmp3); @@ -1198,7 +1199,9 @@ Datalist3d():=( tmp3=apply(tmp2,replace(#,"2d","3d")); out=tmp3; ); +////%Datalist3d end//// +////%Datalist2d start//// Datalist2d():=( //help:Datalist2d(); regional(out,tmp,tmp2,tmp3); @@ -1208,7 +1211,9 @@ Datalist2d():=( // tmp3=apply(tmp2,replace(#,"2d","3d")); out=tmp2; ); +////%Datalist2d end//// +////%Embed start//// Embed(nm,Pd2str,funstr,varstr):= Embed(nm,Pd2str,funstr,varstr,[]); Embed(nm,Pd2str,funstr,varstr,options):=( @@ -1298,6 +1303,7 @@ Embed(nm,Pd2str,funstr,varstr,options):=( ); Out; ); +////%Embed end//// ////%Rotatepoint3d start//// Rotate3pt(point,w1,w2):=Rotatepoint3d(point,w1,w2,[0,0,0]); @@ -2422,18 +2428,15 @@ IntersectsgpL(name,sgstr,pLstr,optionsorg):=( tmp2=(ss>-Eps)&(ss<1+Eps)&(tt>-Eps)&(tt<1+Eps)&(ss+tt<1+Eps);//181029 out=[pR,tmp1,tmp2,tseg,ss,tt]; //181027to tmp=ptflg_2; - tmp1=(tmp1)%(substring(tmp,0,1)=="e"); //181025from + tmp1=(tmp1)%(substring(tmp,0,1)=="i"); //190114 tmp2=(tmp2)%(substring(tmp,1,2)=="e"); if(tmp1&tmp2&(scrflg=="Y"), //181031 if(ptflg_1=="P", //181025 - Putpoint3d([name,pR]); - Fixpoint3d([name,pR]); + Putpoint3d([name,pR],"fix"); +// Fixpoint3d([name,pR]); //190114 , Drawpoint3d(pR,options); ); -// println(" pt"+name+" data:"+format(out,5)); - , -// println("pt"+name+" data:"+format(out,5)); ); , println(" "+sgstr+" and "+pLstr+" may be parallel");//181025to @@ -2933,7 +2936,8 @@ VertexEdgeFace(nm,vfnLorg,optionorg):=( parse(tmp); Defvar(vname+"2d",parse(vname+"2d")); if(dispflg==1, //181106 - drawtext(parse(vname+"2d"),vname); + drawtext(parse(vname+"2d"),vname,size->8); //190128 + draw(parse(vname+"2d"),pointsize->3,color->[0,1,0]); //190128 ); ); //180905to ); @@ -3385,7 +3389,7 @@ Nohiddenbyfaces(nm,segstr,faceL,vtxL,optionorg,optionsh):=( tmp=replace(seg,"3d","2d"); tmp1=select(GCLIST,#_1==tmp); tmp1=tmp1_1; - if(tmp1_2==0, + if(tmp1_2_1==0, //190127 tmp2=append(tmp2,seg); ); ); @@ -3564,6 +3568,7 @@ Faceremovaldata(nm,vfdata,crvdata,options):=( ); ////%Faceremovaldata end//// +////%Fullformfunc start//// Fullformfunc(FdL):=( regional(Out,nn,ii,Jrg,flg,Urg,Vrg,kk,Uname, Zf,Xname,Xf,Yname,Yf,tmp,tmp1,tmp2); @@ -3647,6 +3652,7 @@ Fullformfunc(FdL):=( tmp=[DrwS,BdyL]; Out=concat(Out,tmp); ); +////%Fullformfunc end//// Surffun(nm,Fd):=( regional(name,coord,var1,var2,rng1,rng2,bdy,tmp,tmp1,tmp2); diff --git a/Master/texmf-dist/scripts/ketcindy/ketlib/ketcindylibbasic1logr.txt b/Master/texmf-dist/scripts/ketcindy/ketlib/ketcindylibbasic1logr.txt index 813140039fd..ab492956087 100644 --- a/Master/texmf-dist/scripts/ketcindy/ketlib/ketcindylibbasic1logr.txt +++ b/Master/texmf-dist/scripts/ketcindy/ketlib/ketcindylibbasic1logr.txt @@ -1,5 +1,32 @@ -// 20181217 -// Drwxy debugged +/ 20190128 +// Ketinit changed (Userhome added) +// Changesetting majorly changed +// 20190127 +// Mvprod added +// 20190126 +// Pointdata changed ( list of list removed, Ltype) +// 20190125 +// Assign debugged ( for 1 argument) +// Getlinestyle changed ( Ltype) +// 20190122 +// no ketjs added (Ketinit) +// 20190119 +// Getlinestyle changed/debugged (Ltype changed ) +// 20190118 +// Divoptions changed ("dr,thickness" ) +// 20190116 +// Ketinit() debuggded ( Mackc for Linux) +// 20190115 +// Plotdata debugged( ( => [ ) +// Pointdata change( colorcode => colorcmyk2rgb) +// 20190103 +// Paramplot debugged ( "pt" localized ) +// 20181231 +// Pointdata changed ( "Inside=(cmyk list)" option added ) +// Setorigin debugged (GENTEN used) +// 20181230 +// Pointdata changed ( "Inside" option added ) +// Integrate debugged (case of funstr) // 20181216 // Ketinit changed (AXSTYLE changed) // 20181215 diff --git a/Master/texmf-dist/scripts/ketcindy/ketlib/ketcindylibbasic1r.cs b/Master/texmf-dist/scripts/ketcindy/ketlib/ketcindylibbasic1r.cs index a3376741a8d..e473027def3 100644 --- a/Master/texmf-dist/scripts/ketcindy/ketlib/ketcindylibbasic1r.cs +++ b/Master/texmf-dist/scripts/ketcindy/ketlib/ketcindylibbasic1r.cs @@ -9,14 +9,14 @@ // 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. -// f +// // 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.3.2.3(20181216)"); +println("KeTCindy V.3.2.5"); println(ketjavaversion()); -println("ketcindylibbasic1(20181125) loaded"); +println("ketcindylibbasic1[20190131] loaded"); //help:start(); @@ -71,7 +71,7 @@ Ketinit(work,sy,rangex,rangey):=(//181001to KCOLOR=[0,0,0]; GLIST=[]; GCLIST=[]; -// GDATALIST=[]; +// GDATALIST=[]; //no ketjs GOUTLIST=[]; POUTLIST=[]; VLIST=[]; @@ -97,6 +97,8 @@ Ketinit(work,sy,rangex,rangey):=(//181001to ADDPACK=[]; // 16.05.16 GPACK="tpic"; //180817 ErrFlag=0; + KETJSOP=[]; //190129 + // no ketjs on 190122 setdirectory(Dirwork); if(!isstring(Fhead), // 17.10.13from, 17.11.12 Fhead=text(curkernel()); @@ -122,8 +124,8 @@ Ketinit(work,sy,rangex,rangey):=(//181001to Dircdy=substring(Dircdy,1,length(Dircdy)); ); ); - Changesetting(Homehead+pathsep()+getname()); //180913 - Changesetting(Dircdy); //181017 + Userhome=Homehead+pathsep()+getname(); //190128 + Changesetting(); //190128 Changework(Dircdy+pathsep()+work); //180329to,181001 Fnametex=Fhead+".tex"; FnameR=Fhead+".r"; @@ -139,6 +141,7 @@ Ketinit(work,sy,rangex,rangey):=(//181001to Shellparent="/kc.command"; , Shellparent="/kc.sh"; + Mackc="sh"; //190116 ); //181125to if(!isexists(Dirwork,""), println(Dirwork+" not exists"); @@ -152,6 +155,7 @@ Ketinit(work,sy,rangex,rangey):=(//181001to println(setexec(Dirwork,Shellparent)); ); ); +// no ketjs off 190122 ArrowlineNumber=1; // 15.01.05 ArrowheadNumber=1; BezierNumber=1; //15.01.03 @@ -163,6 +167,7 @@ Ketinit(work,sy,rangex,rangey):=(//181001to YMIN=rangey_1/SCALEY; YMAX=rangey_2/SCALEY; Setwindow("Msg=n"); // 16.05.31 +// no ketjs on 190122 // 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 @@ -173,6 +178,7 @@ Ketinit(work,sy,rangex,rangey):=(//181001to if(indexof(PathT,"pdflatex")+indexof(PathT,"lualatex")>0, LibnameS=replace(LibnameS,"ketpic","ketpic2e"); );//17.12.03until +// no ketjs off 190122 ); ////%Ketinit end//// @@ -250,7 +256,7 @@ Readlines(path,file):=( //help:Readlines(path,file); regional(tmp,out); out=readfile2str(path,file); - out=tokenize(out,"/LF/"); + out=tokenize(out,"/L"+"F/"); //190129 tmp=out_(length(out)); if(length(tmp)==0, out=out_(1..(length(out)-1)); @@ -260,22 +266,22 @@ Readlines(path,file):=( ////%Readlines end//// ////%Changesetting start//// -Changesetting(dir):=( //181017 - regional(fname); - fname="ketcindychange.txt"; - if(!isexists(dir,fname), - if(dir==Dircdy, - fname="ketcindy.conf"; - , - fname=".ketcindy.conf"; - ); +Changesetting():=( //190128 + regional(dir,fname); + dir=Homehead+pathsep()+getname(); + fname=".ketcindy.conf"; + if(isexists(dir,fname), + println("read "+fname+" in "+dir); + setdirectory(dir); + import(fname); ); + dir=Dircdy; fname="ketcindy.conf"; if(isexists(dir,fname), println("read "+fname+" in "+dir); setdirectory(dir); import(fname); ); -); //181017to +); ////%Changesetting end//// ////%Cindyname start//// @@ -308,7 +314,7 @@ Setwindow(str):=( // createpoint("SW",Pcrd([XMIN,YMIN])); // createpoint("NE", Pcrd([XMAX,YMAX])); Putpoint("SW",Pcrd([XMIN,YMIN])); - Putpoint("NE", Pcrd([XMAX,YMAX])); + Putpoint("NE", Pcrd([XMAX,YMAX])); ); if(msg=="y", println("Setwindow(["+XMIN+","+XMAX+"],["+YMIN+","+YMAX+"])"); @@ -373,6 +379,47 @@ DqDq(str):=( ); ////%DqDq end//// +////%PPa start//// 190111 +PPa():=PPa(""); +PPa(str):="("+str+")"; +////%PPa end//// + +////%PaO start//// 190111 +PaO():=PaO(""); +PaO(Arg):=( + regional(out); + if(isstring(Arg), + out="("+Arg; + , + out=""; + repeat(Arg, + out=out+"("; + ); + ); + out; +); +////%PaO end//// + +////%PaC start//// 190111 +PaC():=PaC(""); +PaC(Arg):=( + regional(out); + if(isstring(Arg), + out=Arg+")"; + , + out=""; + repeat(Arg, + out=out+")"; + ); + ); + out; +); +////%PaC end//// + +////%PPa start//// 190111 +PPa(str):="("+str+")"; +////%PPa end//// + ////%Tab2list start//// Tab2list(dtstr):=Tab2list(dtstr,[]); Tab2list(dtstrorg,options):=( @@ -787,7 +834,7 @@ Changework(dirorg,options):=( //16.10.21 , println("Directory "+dir+" not exist, so "+Dqq(Dirwork)+" not changed"); ); //180618to -// println("Directory "+dir+" not exist, so set to "+Dircdy);//180604(2lines) +// println("Directory "+dir+" not exist, so set to "+Dircdy);//180604[2lines] // Dirwork=Dircdy; // ErrFlag=-1; , @@ -826,17 +873,17 @@ Changestyle(nameL,style):=( if(length(tmp)>0, Ltype=Ltypeorg; GCLIST=select(GCLIST,#_1!=name); - COM2ndlist=select(COM2ndlist, - (indexof(#,"("+name)==0)%(indexof(#,"Shade")>0)); // 15.05.23,16.12.13 + COM2ndlist=select(COM2ndlist, //no ketjs + (indexof(#,"("+name)==0)%(indexof(#,"Shade")>0)); // 15.05.23,16.12.13 //no ketjs if(Noflg<2, if(isstring(Ltype), - if((Noflg==0)&(color!=KCOLOR), //180904 + if((Noflg==0)&(color!=KCOLOR), //180904 //no ketjs on Texcom("{");Com2nd("Setcolor("+color+")");//180722 - ); + ); //no ketjs off Ltype=GetLinestyle(text(Noflg)+Ltype,name); - if((Noflg==0)&(color!=KCOLOR), //180904 + if((Noflg==0)&(color!=KCOLOR), //180904 //no ketjs on Texcom("}");//180722 - ); + ); //no ketjs off , if(Noflg==1,Ltype=0); ); @@ -864,7 +911,7 @@ Op(n,object):=( // 16.05.25 ////%Op end//// ////%Ptselected start//// -Ptselected():=Isptselected(allpoints());//180711(2lines) +Ptselected():=Isptselected(allpoints());//180711[2lines] Ptselected(ptlist):=Isptselected(ptlist); Isptselected():=Isptselected(allpoints()); //180706 Isptselected(ptlist):=( @@ -1117,19 +1164,15 @@ Sprintf(value,dig):=( ); ////%Sprintf end//// -Assign(str):=( // old - regional(out); - out=str; - forall(VLIST, - tmp=substring(#_1,0,length(#_1)-1); - out=replace(out,tmp,"("+#_2+")"); - ); - out; -); - ////%Assign start//// +Assign(str):=( //190125from + regional(tmp); + tmp=[]; + forall(VLIST,tmp=concat(tmp,[#_1,#_2])); + Assign(str,tmp); +); //190125to Assign(funstr,vrL):=( - regional(nn,out,tmp,tmp1); + regional(nn,out); nn=length(vrL)/2; out=funstr; forall(1..nn, @@ -1137,7 +1180,6 @@ Assign(funstr,vrL):=( ); 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]); @@ -1154,7 +1196,7 @@ Assign(funstr,varname,rep):=( ii=indexof(funstr,varname); if(ii>0, Flg=0; - if(ii>1, + if(ii>1, tmp=substring(funstr,ii-2,ii-1); if(contains(Notvar,tmp), tmp2=tmp2+substring(funstr,0,ii); @@ -1270,7 +1312,7 @@ Divoptions(options):=( tmp1=parse(tmp2); color=tmp1; if(length(tmp1)==4, - tmp1=colorCmyk2Rgb(tmp1); + tmp1=Colorcmyk2rgb(tmp1); ); , tmp1=Colorname2rgb(tmp2); color=tmp1; //181212 @@ -1369,6 +1411,28 @@ Crossprod(a,b):=( ); ////%Crossprod end//// +////%Mvprod start//// +Mvprod(mat,vec):=( //190127 + regional(vecL); + if(MeasureDepth(vec)==0,vecL=[vec],vecL=vec); + Mvprod(mat,vecL,length(vecL)); +); +Mvprod(mat,vecL,nn):=( +//help:Mvprod(mat,vec(list)); + regional(tmp,out); + if(nn==1, + out=mat*vecL_1; + , + out=[]; + forall(1..nn, + tmp=mat*vecL_#; + out=append(out,tmp); + ); + ); + out; +); +////%Mvprod end//// + ////%Ptstart start//// Ptstart(Fig):=( //help:Ptstart("gr1"); @@ -1427,7 +1491,7 @@ Paramoncrv(pP,Gdata):=Paramoncurve(pP,Gdata);//180723 ////%Paramoncrv end//// ////%ParamonCurve start//// ParamonCurve(point,Gdata):=( -//help:ParamonCurve(A,"gr1");//180723(3lines) +//help:ParamonCurve(A,"gr1");//180723[3lines] regional(Tmp,PtL,pP); if(ispoint(point),pP=point.xy,pP=point); // Eps=10^(-8); @@ -1631,7 +1695,7 @@ IntersectcrvsPp(Gr1,Gr2,options):=( Data1=apply(Data1,LLcrd(#)); Data2=apply(Data2,LLcrd(#)); if(length(Data1)==length(Data2), - Tmp1=Reverse(Data2); + Tmp1=reverse(Data2); Eps0=10^(-6); Tmp2=0; forall(1..(length(Data1)), @@ -2046,7 +2110,7 @@ Collectsameseg(ptdL):=( ); gL=[]; tmp=apply(tmp1md,#_4); - dst=min(tmp); + dst=min(tmp); forall(tmp1md, if(#_4<dst+Eps00, gL=append(gL,#); @@ -2194,7 +2258,7 @@ NearestptcrvPhy(point,PL):=( ////%Nearestptcrv start//// Nearestptcrv(point,plist):=( //help:Nearestptcrv(A,"gr1"); - regional(tmp,pt);//180723(3lines) + regional(tmp,pt);//180723[3lines] if(ispoint(point),pt=point.xy,pt=point); tmp=Nearestpt(pt,plist); tmp_1; @@ -2334,7 +2398,7 @@ Derivative(fun,var,value,options):=( ); ); if(method=="D", - str="d("; + str="d"+PaO(); str=str+replace(fun,var,"#")+","; str=str+value+")"; tmp=Pcrd([1,parse(str)]); // 14.11.08 @@ -2385,7 +2449,7 @@ Tangentplot(nm,pdstr,ptinfo,optionsorg):=( println(" Derivative cannot be calculated"); flg=1; , - tmp=sort(tmp,[#_3]);//1807120(3lines) + tmp=sort(tmp,[#_3]);//1807120[3lines] pt=tmp_ch_1; par=tmp_ch_2; ); @@ -2485,7 +2549,7 @@ Integratefn(fnstr,rngstr,options):=( //180708from ex=range_2; dx=(ex-sx)/Num; xn=apply(0..Num,sx+#*dx); - yn=apply(xn,parse(Assign(fnstr,[var,textformat(#,5)]))); + yn=apply(xn,parse(Assign(fnstr,[var,#]))); //181230 plt=apply(1..(Num+1),[xn_#,yn_#]); Sm=IntegrateO(plt,range); );//180708to @@ -2494,8 +2558,8 @@ Integratefn(fnstr,rngstr,options):=( //180708from 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))); + va1=parse(replace(fnstr,vastr,Textformat(Lx,5))); + va2=parse(replace(fnstr,vastr,Textformat(Rx,5))); Sm=Sm+(va1+va2)*(Rx-Lx)/2; ); ); @@ -2505,14 +2569,14 @@ Integratefn(fnstr,rngstr,options):=( //180708from ex=range_2; dx=(ex-sx)/Num; xn=apply(0..Num,sx+#*dx); - yn=apply(xn,parse(replace(fnstr,vastr,textformat(#,5)))); + 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))); + y1=parse(replace(fnstr,vastr,Textformat(x1,5))); y2=yn_(s+1); Sm=Sm+dx*(y0+4*y1+y2)/3; ); @@ -2701,19 +2765,19 @@ Inversefun(fnstr,rngstr,value):=( 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))); + 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; + 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)+")"); + println("not found in ("+Textformat(range_1,5) + +","+Textformat(range_2,5)+")"); ); if(abs(va1)<=abs(va2),x1,x2); ); @@ -2770,34 +2834,48 @@ Texcom(strorg):=( //17.09.22 ); ////%Texcom end//// +////%Ketcindylogo start//// Ketcindylogo():=( //help:Ketcindylogo(); Com2nd("Texcom("+Dq+"\def\ketcindy{{K\kern-.20em \lower.5ex\hbox{E}\kern-.125em{TCindy}}}"+Dq+")"); ); +////%Ketcindylogo end//// -Drwline():=Drwline(textformat(GrL,5)); +////%Drwline start//// +Drwline():=Drwline(Textformat(GrL,5)); Drwline(gstr):=( Com2nd("Drwline("+gstr+")"); ); +////%Drwline end//// + +////%Dashline start//// Dashline(gstr):=( Com2nd("Dashline("+gstr+")"); ); +////%Dashline end//// +////%Invdashline start//// Invdashline(gstr):=( Com2nd("Invdashline("+gstr+")"); ); +////%Invdashline end//// +////%Dottedline start//// Dottedline(gstr):=( Com2nd("Dottedline("+gstr+")"); ); +////%Dottedline end//// +////%SetEnglish start//// SetEnglish():=( //help:SetEnglish(); Com0th("setlanguage('en')"); ); +////%SetEnglish end//// +////%Drawlinetype start//// Drawlinetype(name,type):=( //help:Drawlinetype("gr1","da,1"); regional(Dop,tmp,tmp1,tmp2); @@ -2820,6 +2898,7 @@ Drawlinetype(name,type):=( Dottedline(name+Dop); ); ); +////%Drawlinetype end//// ////%Setunitlen start//// Setunitlen():=( @@ -2836,7 +2915,7 @@ Setunitlen(UI):=( OL="+-*/"; if(length(UI)>0, ULEN=UI; - GLIST=append(GLIST,"Setunitlen("+Dq+UI+Dq+")");//180513 + GLIST=append(GLIST,"Setunitlen("+Dq+UI+Dq+")");//180513 //no ketjs ); Is=1; VL=""; @@ -2881,14 +2960,15 @@ Setunitlen(UI):=( Setmarklen(ratio):=( //help:Setmarklen(0.2); MARKLEN=ratio*0.2;//16.11.01 - Com2nd("Setmarklen("+textformat(ratio,5)+")"); + Com2nd("Setmarklen("+Textformat(ratio,5)+")"); ); ////%Setmarklen end//// ////%Setorigin start//// Setorigin(point):=( //help:Setorigin([1,2]); - Com2nd("Setorigin("+textformat(point,5)+")"); + GENTEN=point; //181231 + Com2nd("Setorigin("+Textformat(point,5)+")"); ); ////%Setorigin end//// @@ -3065,20 +3145,20 @@ Setcolor(parorg):=( //180603renew cstr=text(par); cstr=substring(cstr,1,length(cstr)-1); if(length(par)==3, - cstr="Texcom('\\color[rgb]{"+cstr+"}')"; + cstr="Texcom('\\color[rgb]{"+cstr+"}')"; //no ketjs KCOLOR=par; ); if(length(par)==4, - cstr="Texcom('\\color[cmyk]{"+cstr+"}')"; - tmp=ColorCmyk2Rgb(par); + cstr="Texcom('\\color[cmyk]{"+cstr+"}')"; //no ketjs + tmp=Colorcmyk2rgb(par); KCOLOR=tmp; ); - Com2nd(cstr); + Com2nd(cstr); //no ketjs ); ////%Setcolor end//// -////%ColorRgb2Cmyk start//// -ColorRgb2Cmyk(clr):=( +////%Colorrgb2cmyk start//// +Colorrgb2cmyk(clr):=( // help:ColorRgb([0.2,0.5,0.1]); regional(clrnew,tmp,black); tmp=apply(clr,1-#); @@ -3091,10 +3171,10 @@ ColorRgb2Cmyk(clr):=( ); //181112to clrnew; ); -////%ColorRgb2Cmyk end//// +////%Colorrgb2cmyk end//// -////%ColorCmyk2Rgb start//// -ColorCmyk2Rgb(clr):=( +////%Colorcmyk2rgb start//// +Colorcmyk2rgb(clr):=( // help:ColorRgb([0.2,0.5,0.1,0.2]); regional(clrnew,tmp,black); black=clr_4; @@ -3102,7 +3182,7 @@ ColorCmyk2Rgb(clr):=( clrnew=tmp_(1..3); clrnew; ); -////%ColorCmyk2Rgb end//// +////%Colorcmyk2rgb end//// ////%Colorrgbhsv start//// Colorrgbhsv(rgb):=( @@ -3215,16 +3295,16 @@ Colorhslrgb(hsl):=( 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 = 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]; ); ////%Colorhslrgb end//// -////%Colorhue2rgb start//// -hue2rgb(vv1,vv2,vh):=( +////%Hue2rgb start//// +Hue2rgb(vv1,vv2,vh):=( regional(out); if ( vh < 0.0 ,vh =vh+1); if ( vh > 1.0 ,vh =vh-1); @@ -3243,7 +3323,7 @@ hue2rgb(vv1,vv2,vh):=( ); out; ); -////%Colorhue2rgb end//// +////%Hue2rgb end//// ////%Colorrgbhwb start//// Colorrgbhwb(sL):=( @@ -3365,36 +3445,51 @@ GetLinestyle(str,name):=( noflg=parse(substring(str,0,1)); if(substring(name,0,3)=="sub",subflg=1,subflg=0); // 16.02.29 tmp1=substring(str,1,3); + tmp2=""; //190119from + tmp=indexof(str,","); + if(tmp>0, + tmp2=substring(str,tmp,length(str)); + ); //190119to if(tmp1=="dr" % tmp1=="Dr", - Ltype=0; +// Ltype=0; + if(length(tmp2)==0,tmp2="1"); //190125 + Ltype=[0,tmp2]; //190119 if(noflg==0 & subflg==0, // 16.02.29 Drwline(name+Dop); ); ); if(tmp1=="da" % tmp1=="Da", - Ltype=1; +// Ltype=1; + if(length(tmp2)==0,tmp2="1,1"); //190125 + Ltype=[1,tmp2]; //190119 if(noflg==0 & subflg==0, // 16.02.29 Dashline(name+Dop); ); ); if(tmp1=="id" % tmp1=="Id", - Ltype=2; // 15.11.09 +// Ltype=2; // 15.11.09 + if(length(tmp2)==0,tmp2="1,1"); //190125 + Ltype=[2,tmp2]; //190119 if(noflg==0 & subflg==0, // 16.02.29 Invdashline(name+Dop); ); ); if(tmp1=="do" % tmp1=="Do", - Ltype=3; +// Ltype=3; + if(length(tmp2)==0,tmp2="1,1"); //190125 + Ltype=[3,tmp2]; //190119 if(noflg==0 & subflg==0, // 16.02.29 Dottedline(name+Dop); ); ); if(tmp1=="dp" % tmp1=="Dp", - Ltype=0; +// Ltype=0; + if(length(tmp2)==0,tmp2="1"); //190125 + Ltype=[0,tmp2]; //190119 tmp1=parse(name); tmp2=""; forall(tmp1, - tmp2=tmp2+textformat(#_1,5)+","; + tmp2=tmp2+Textformat(#_1,5)+","; ); tmp2=substring(tmp2,0,length(tmp2)-1); if(noflg==0, @@ -3439,7 +3534,7 @@ Chunderscore(str):=( ); if(indexof(str,"]")>0, tmp1=replace(tmp1,",]",")"); - tmp1=replace(tmp1,"[","list("); + tmp1=replace(tmp1,"[","list"+PaO()); , tmp1=substring(tmp1,0,length(tmp1)-1); ); @@ -3480,11 +3575,11 @@ AddGraph(nm,pltdata,options):=( pdata=tmp1; if(Noflg<3, println("generate addgraph "+name); - tmp=name+"="+textformat(pdata,5); + 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="list"+PaO()+"Listplot"+PaO()+substring(pltdata,1,length(pltdata)); tmp1=replace(tmp1,"]",",]"); , tmp1="Listplot("+substring(pltdata,0,length(pltdata))+",]"; @@ -3513,37 +3608,37 @@ AddGraph(nm,pltdata,options):=( if(indexof(pltdata,"[")>0, tmp1=tmp1+")"; ); - GLIST=append(GLIST,name+"="+tmp1); + GLIST=append(GLIST,name+"="+tmp1); //no ketjs , if(MeasureDepth(pdata)==1, - tmp1=name+"=Listplot("+textformat(pdata,5)+")"; + tmp1=name+"=Listplot("+Textformat(pdata,5)+")"; , - tmp1="list("; + tmp1="list"+PaO(); forall(1..(length(pdata)), - tmp=name+"p"+textformat(#,5)+"="; + tmp=name+"p"+Textformat(#,5)+"="; if(length(pdata_#)>1, // 15.01.22 - tmp=tmp+"Listplot("+textformat(pdata_#,5)+")"; + tmp=tmp+"Listplot("+Textformat(pdata_#,5)+")"; , - tmp=tmp+"Pointdata("+textformat(pdata_#_1,5)+")"; + tmp=tmp+"Pointdata("+Textformat(pdata_#_1,5)+")"; ); - GLIST=append(GLIST,tmp); - tmp1=tmp1+name+"p"+textformat(#,5)+","; + GLIST=append(GLIST,tmp); //no ketjs + tmp1=tmp1+name+"p"+Textformat(#,5)+","; ); tmp1=name+"="+substring(tmp1,0,length(tmp1)-1)+")"; ); - GLIST=append(GLIST,tmp1); + GLIST=append(GLIST,tmp1); //no ketjs ); ); // 16.04.04 until if(Noflg<2, if(isstring(Ltype), - if((Noflg==0)&(color!=KCOLOR), //181020 + if((Noflg==0)&(color!=KCOLOR), //181020 //no ketjs on Texcom("{");Com2nd("Setcolor("+color+")");//180722 - ); + ); //no ketjs off Ltype=GetLinestyle(text(Noflg)+Ltype,name); - if((Noflg==0)&(color!=KCOLOR), //181020 + if((Noflg==0)&(color!=KCOLOR), //181020 //no ketjs on Texcom("}");//180722 - ); - , + ); //no ketjs off + , if(Noflg==1,Ltype=0); ); GCLIST=append(GCLIST,[name,Ltype,opcindy]); @@ -3600,7 +3695,7 @@ Joincrvs(nm,plotstrL,options):=( pS=Ptstart(PtL); pQ=Ptstart(Qd); pR=Ptend(Qd); - rMN=min([|pP-pQ|,|pP-pR|,|pS-pQ|,|pS-pR|]); + rMN=min([|pP-pQ|,|pP-pR|,|pS-pQ|,|pS-pR|]); if(rMN==|pP-pR|, Qd=reverse(Qd); , @@ -3624,25 +3719,25 @@ Joincrvs(nm,plotstrL,options):=( if(Noflg<3, println("generate joincurve "+name); tmp1=apply(PtL,Pcrd(#)); - tmp=name+"="+textformat(tmp1,5); + 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+")"); + GLIST=append(GLIST,name+"=Joincrvs("+tmp1+")"); //no ketjs ); if(Noflg<2, if(isstring(Ltype), - if((Noflg==0)&(color!=KCOLOR), //181020 + if((Noflg==0)&(color!=KCOLOR), //181020 //no ketjs on Texcom("{");Com2nd("Setcolor("+color+")");//180722 - ); - Ltype=GetLinestyle(text(Noflg)+Ltype,name); - if((Noflg==0)&(color!=KCOLOR), //181020 + ); //no ketjs off + Ltype=GetLinestyle(text(Noflg)+Ltype,name); + if((Noflg==0)&(color!=KCOLOR), //181020 //no ketjs on Texcom("}");//180722 - ); - , + ); //no ketjs off + , if(Noflg==1,Ltype=0); ); GCLIST=append(GCLIST,[name,Ltype,opcindy]); @@ -3680,7 +3775,7 @@ Partcrv(nm,pA,pB,PkLstr,options):=( Out2=Partcrv("",1,pB,PkLstr,["nodata"]); tmp=Ptstart(PkL)-Ptend(PkL); if(|tmp|<Eps, - Ans=Joincrvs("",[Out1,Out2],["nodata"]); + Ans=Joincrvs("",[Out1,Out2],["nodata"]); , Ans=[apply(Out1,Pcrd(#)),apply(Out2,Pcrd(#))]; ); @@ -3688,8 +3783,8 @@ Partcrv(nm,pA,pB,PkLstr,options):=( ); if(Flg==0, nS=ceil(pA); - nE=floor(pB); - PPL=[]; + nE=floor(pB); + PPL=[]; if(pA<nS-Eps, pP=(nS-pA)*PkL_(nS-1)+(1-nS+pA)*PkL_nS; PPL=[pP]; @@ -3707,14 +3802,14 @@ Partcrv(nm,pA,pB,PkLstr,options):=( tmp=Nearestpt(LLcrd(Pcrd(pA)),PkL); Ta=tmp_2; tmp=Nearestpt(LLcrd(Pcrd(pB)),PkL); // 15.09.12 - Tb=tmp_2; + 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); + tmp=name+"="+Textformat(tmp1,5); parse(tmp); // GLIST=append(GLIST, // 16.04.03 if(DepthFlg==0, @@ -3722,20 +3817,20 @@ Partcrv(nm,pA,pB,PkLstr,options):=( , tmp=PkLstr+"(1)"; ); - tmp1=name+"=Partcrv("+textformat(Lcrd(pA),5) - +","+textformat(Lcrd(pB),5)+","+tmp+")"; // 16.04.03 - GLIST=append(GLIST,tmp1); + tmp1=name+"=Partcrv("+Textformat(Lcrd(pA),5) + +","+Textformat(Lcrd(pB),5)+","+tmp+")"; // 16.04.03 + GLIST=append(GLIST,tmp1); //no ketjs ); if(Noflg<2, if(isstring(Ltype), - if((Noflg==0)&(color!=KCOLOR), //181020 + if((Noflg==0)&(color!=KCOLOR), //181020 //no ketjs on Texcom("{");Com2nd("Setcolor("+color+")");//180722 - ); - Ltype=GetLinestyle(text(Noflg)+Ltype,name); - if((Noflg==0)&(color!=KCOLOR), //181020 + ); //no ketjs off + Ltype=GetLinestyle(text(Noflg)+Ltype,name); + if((Noflg==0)&(color!=KCOLOR), //181020 //no ketjs on Texcom("}");//180722 - ); - , + ); //no ketjs off + , if(Noflg==1,Ltype=0); ); GCLIST=append(GCLIST,[name,Ltype,opcindy]); @@ -3761,8 +3856,11 @@ Pointdata(nm,list):=Pointdata(nm,list,[]); Pointdata(nm,listorg,options):=( //help:Pointdata("1",[2,4],["Size=5"]); //help:Pointdata("2",[[2,3],[4,1]]); +//help:Pointdata(options=["Size=(1)","Disp=(y)","Inside="]); +//help:Pointdata("Inside=1(def)/ratio/rgblist/colorname/-1"]); regional(list,name,nameL,ptlist,opstr,opcindy, - eqL,dispflg,size,thick,tmp,tmp1,tmp2,tmp3,Ltype,Noflg,color); + eqL,dispflg,size,thick,tmp,tmp1,tmp2,tmp3, + Ltype,Noflg,color,inside); name="pt"+nm; nameL=name+"L"; tmp=Divoptions(options); @@ -3770,65 +3868,80 @@ Pointdata(nm,listorg,options):=( Noflg=tmp_2; eqL=tmp_5; opcindy=tmp_(length(tmp)); - opstr=tmp_(length(tmp)-1); +// opstr=tmp_(length(tmp)-1); color=tmp_(length(tmp)-2); size=""; dispflg="Y"; - if(length(eqL)>0, - forall(eqL, - tmp=Strsplit(#,"="); - tmp1=Toupper(substring(tmp_1,0,1)); - tmp2=Toupper(substring(tmp_2,0,1)); - if(tmp1=="S", - size=tmp2; - opcindy=opcindy+",size->"+text(size); //181013 - ); - if(tmp1=="D", //181030from - dispflg=tmp2; - ); + inside=color; + forall(eqL, + tmp=Strsplit(#,"="); + tmp1=Toupper(substring(tmp_1,0,1)); + if(tmp1=="S", + size=Toupper(substring(tmp_2,0,1));; + opcindy=opcindy+",size->"+text(size); //181013 + ); + if(tmp1=="D", //181030from + dispflg=Toupper(substring(tmp_2,0,1)); ); + if(tmp1=="I", //181229from + if(contains(["","no"],tmp_2), + if(tmp_2=="no",inside=append(inside,-1)); + , + tmp2=substring(tmp_2,0,1); + if(contains(["-","0","1",".","["],tmp2), + tmp=parse(tmp_2); + if(length(tmp)==4,tmp=Colorcmyk2rgb(tmp)); //190115 + if(!isstring(tmp),tmp=[tmp]); + , + tmp=Colorname2rgb(tmp_2); + ); + inside=concat(inside,tmp); + ); + ); //181229to ); if(dispflg=="Y", println("generate pointdata "+name); ); //181030to - if(isstring(listorg),list=parse(listorg),list=listorg); //17.10.23 + if(isstring(listorg), + list=parse(listorg) + , + list=listorg + ); //17.10.23 if(MeasureDepth(list)==0,list=[list]);//180530 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+"]"; - ); + if(tmp==1,ptlist=list,ptlist=list_1); //190126from + tmp=apply(ptlist,[Textformat(Pcrd(#),5)]); + tmp1=text(tmp); + tmp2=substring(tmp1,1,length(tmp1)-1); + tmp3=tmp1; tmp=name+"="+tmp1; parse(tmp); tmp=nameL+"="+tmp3; - parse(tmp); + parse(tmp); //190126to if(Noflg<3, if(isstring(listorg), //17.10.23 tmp2=listorg; , - tmp2="list("; //17.10.10from + tmp2="list"+PaO(); //17.10.10from forall(list, if(isstring(#), tmp=#; , - if(ispoint(#),tmp=text(#),tmp=textformat(#,6)); + if(ispoint(#), + tmp=text(#); + , + tmp=Textformat(#,6); + ); ); tmp2=tmp2+tmp+","; ); - tmp2=substring(tmp2,0,length(tmp2)-1)+")"; //17.10.10until + tmp2=substring(tmp2,0,length(tmp2)-1)+")"; + //17.10.10until ); - GLIST=append(GLIST,name+"=Pointdata("+tmp2+")"); + GLIST=append(GLIST,name+"=Pointdata("+tmp2+")"); //no ketjs ); if(Noflg<2, - tmp=[nameL,0,opcindy]; + tmp=[nameL,[0,1],opcindy]; //190126 GCLIST=append(GCLIST,tmp); if(Noflg==0, if(length(size)>0, @@ -3838,17 +3951,20 @@ Pointdata(nm,listorg,options):=( if(length(size)>0,tmp1=parse(size),tmp1=1); tmp1=max(tmp1,1)/8; Setpen(tmp1); // 16.04.09 until - if((Noflg==0)&(color!=KCOLOR), //181020 - Texcom("{");Com2nd("Setcolor("+color+")");//180711 - ); - Com2nd("Drwpt(list("+name+")"+opstr+")"); - if((Noflg==0)&(color!=KCOLOR), //181020 + if((Noflg==0)&(color!=KCOLOR), //181020 //no ketjs on + Texcom("{"); + Com2nd("Setcolor("+color+")");//180711 + ); //no ketjs off + opstr=","+Textformat(inside,2); + Com2nd("Drwpt"+PaO()+"list"+PaO()+name+")"+opstr+")"); + if((Noflg==0)&(color!=KCOLOR), //181020 //no ketjs on Texcom("}");//180711 - ); + ); //no ketjs off Setpen(thick); // 16.04.09 - if(length(size)>0, - Com2nd("Setpt("+textformat(TenSize/TenSizeInit,1)+")"); - ); + if(length(size)>0, //no ketjs on + tmp=Textformat(TenSize/TenSizeInit,1); + Com2nd("Setpt("+tmp+")"); + ); //no ketjs off ); ); ptlist; @@ -3856,6 +3972,23 @@ Pointdata(nm,listorg,options):=( ////%Pointdata end//// ////%Listplot start//// +Listplot(list):=Listplot(list,[]); +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(nm,list,options):=( //help:Listplot([A,B]); // help:Listplot(["A","B"]); @@ -3866,7 +3999,7 @@ Listplot(nm,list,options):=( name=substring(nm,1,length(nm)); , name="sg"+nm; - ); // until + ); // upto tmp=Divoptions(options); Ltype=tmp_1; Noflg=tmp_2; @@ -3877,7 +4010,7 @@ Listplot(nm,list,options):=( cutend=[0,0];//180719 forall(eqL, tmp=Strsplit(#,"="); - tmp1=Toupper(substring(tmp_1,0,1)); + tmp1=Toupper(substring(tmp_1,0,1)); tmp2=tmp_2; if(tmp1=="M", tmp=Toupper(substring(tmp2,0,1)); @@ -3904,19 +4037,19 @@ Listplot(nm,list,options):=( ptlist_1=ptlist_1+tmp*cutend_1; ptlist_(length(ptlist))=ptlist_(length(ptlist))-tmp*cutend_2; );//180719to - tmp=name+"="+textformat(ptlist,5); + tmp=name+"="+Textformat(ptlist,5); parse(tmp); - GLIST=append(GLIST,name+"=Listplot("+textformat(ptlist,5)+")"); // 180719 + GLIST=append(GLIST,name+"=Listplot("+Textformat(ptlist,5)+")"); // 180719 //no ketjs ); if(Noflg<2, if(isstring(Ltype), - if((Noflg==0)&(color!=KCOLOR), //181020 + if((Noflg==0)&(color!=KCOLOR), //181020 //no ketjs on Texcom("{");Com2nd("Setcolor("+color+")");//180711 - ); + ); //no ketjs off Ltype=GetLinestyle(text(Noflg)+Ltype,name); - if((Noflg==0)&(color!=KCOLOR), //181020 + if((Noflg==0)&(color!=KCOLOR), //181020 //no ketjs on Texcom("}");//180711 - ); + ); //no ketjs off , if(Noflg==1,Ltype=0); ); @@ -3925,23 +4058,6 @@ Listplot(nm,list,options):=( 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,[]); ////%Listplot end//// ////%Lineplot start//// @@ -3977,20 +4093,20 @@ Lineplot(nm,list,options):=( if(Noflg<3, println("generate Lineplot "+name); tmp1=apply(Out,Pcrd(#)); - tmp=name+"="+textformat(tmp1,5); + tmp=name+"="+Textformat(tmp1,5); parse(tmp); - GLIST=append(GLIST,name+"=Lineplot("+textformat(list,5)+opstr+")"); + GLIST=append(GLIST,name+"=Lineplot("+Textformat(list,5)+opstr+")"); //no ketjs ); if(Noflg<2, if(isstring(Ltype), - if((Noflg==0)&(color!=KCOLOR), //181020 + if((Noflg==0)&(color!=KCOLOR), //181020 //no ketjs on Texcom("{");Com2nd("Setcolor("+color+")");//180722 - ); + ); //no ketjs off Ltype=GetLinestyle(text(Noflg)+Ltype,name); - if((Noflg==0)&(color!=KCOLOR), //181020 + if((Noflg==0)&(color!=KCOLOR), //181020 //no ketjs on Texcom("}");//180722 - ); - , + ); //no ketjs off + , if(Noflg==1,Ltype=0); ); GCLIST=append(GCLIST,[name,Ltype,opcindy]); @@ -4049,7 +4165,7 @@ Plotdata(name1,func,variable,options):=( if(substring(#,0,1)=="E", if(substring(tmp1,0,1)=="[", //180817from Ec=parse(tmp1); - tmp1=replace(tmp1,"[","c("); + tmp1=replace(tmp1,"[","c"+PaO()); tmp1=replace(tmp1,",",".0,"); tmp1=replace(tmp1,"]",".0)"); opstr=opstr+","+Dqq("Exc="+tmp1); //180817to @@ -4084,7 +4200,7 @@ Plotdata(name1,func,variable,options):=( PdL=[]; Ke=1; forall(0..Num, - xx=x1+#*(x2-x1)/Num; // differs from Scilab ( / Num-1) + xx=x1+#*(x2-x1)/Num; // differs from Scilab [ / Num-1] if(length(Exfun)>0, tmp=parse(Exfun); if(abs(tmp)<Eps, @@ -4103,7 +4219,7 @@ Plotdata(name1,func,variable,options):=( , PdL=concat(PdL,[["inf"],tmp]); ); - ); + ); , PdL=[tmp]; ); @@ -4172,22 +4288,22 @@ Plotdata(name1,func,variable,options):=( tmp1=append(tmp1,apply(tmp2,Pcrd(#))); ); ); - tmp=name+"="+textformat(tmp1,5); + tmp=name+"="+Textformat(tmp1,5); parse(tmp); - tmp1=replace(func,LFmark,""); + tmp1=replace(func,LFmark,""); //no ketjs on tmp2=replace(variable,LFmark,""); tmp=name+"=Plotdata('"+tmp1+"','"+tmp2+"'"+opstr+")"; - GLIST=append(GLIST,tmp); + GLIST=append(GLIST,tmp); //no ketjs off ); if(Noflg<2, if(isstring(Ltype), - if((Noflg==0)&(color!=KCOLOR), //181020 + if((Noflg==0)&(color!=KCOLOR), //181020 //no ketjs on Texcom("{");Com2nd("Setcolor("+color+")");//180722 - ); + ); //no ketjs off Ltype=GetLinestyle(text(Noflg)+Ltype,name); - if((Noflg==0)&(color!=KCOLOR), //181020 + if((Noflg==0)&(color!=KCOLOR), //181020 //no ketjs on Texcom("}");//180722 - ); + ); //no ketjs off , if(Noflg==1,Ltype=0); ); @@ -4197,13 +4313,13 @@ Plotdata(name1,func,variable,options):=( , if(Noflg<2, if(isstring(Ltype), - if((Noflg==0)&(color!=KCOLOR), //181020 + if((Noflg==0)&(color!=KCOLOR), //181020 //no ketjs on Texcom("{");Com2nd("Setcolor("+color+")");//180722 - ); + ); //no ketjs off Ltype=GetLinestyle(text(Noflg)+Ltype,name); - if((Noflg==0)&(color!=KCOLOR), //181020 + if((Noflg==0)&(color!=KCOLOR), //181020 //no ketjs on Texcom("}");//180722 - ); + ); //no ketjs off , if(Noflg==1,Ltype=0); ); @@ -4220,7 +4336,7 @@ Paramplot(nm,funstr,variable):=Paramplot(nm,funstr,variable,[]); Paramplot(nm,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, + Ec,Exfun,Dc,eqL,Fntmp,Vatmp,t1,t2,dt,tt,pa,ke, pt, //190103 Ltype,Noflg,Inflg,Outflg,opstr,opcindy,color); if(substring(nm,0,1)=="-", // 180928from name=substring(nm,1,length(nm)); @@ -4251,7 +4367,7 @@ Paramplot(nm,funstr,variable,options):=( if(substring(#,0,1)=="E", if(substring(tmp1,0,1)=="[", //180817from Ec=parse(tmp1); - tmp1=replace(tmp1,"[","c("); + tmp1=replace(tmp1,"[","c"+PaO()); tmp1=replace(tmp1,",",".0,"); tmp1=replace(tmp1,"]",".0)"); opstr=opstr+","+Dqq("Exc="+tmp1); //180817to @@ -4342,22 +4458,22 @@ Paramplot(nm,funstr,variable,options):=( tmp1=append(tmp1,apply(tmp2,Pcrd(#))); ); ); - tmp=name+"="+textformat(tmp1,5); + tmp=name+"="+Textformat(tmp1,5); parse(tmp); - tmp1=replace(funstr,LFmark,""); // 15.11.13 + tmp1=replace(funstr,LFmark,""); // 15.11.13 //no ketjs on tmp2=replace(variable,LFmark,""); tmp=name+"=Paramplot('"+tmp1+"','"+tmp2+"'"+opstr+")"; - GLIST=append(GLIST,tmp); + GLIST=append(GLIST,tmp); //no ketjs off ); if(Noflg<2, if(isstring(Ltype), - if((Noflg==0)&(color!=KCOLOR), //181020 + if((Noflg==0)&(color!=KCOLOR), //181020 //no ketjs on Texcom("{");Com2nd("Setcolor("+color+")");//180722 - ); + ); //no ketjs off Ltype=GetLinestyle(text(Noflg)+Ltype,name); - if((Noflg==0)&(color!=KCOLOR), //181020 + if((Noflg==0)&(color!=KCOLOR), //181020 //no ketjs on Texcom("}");//180722 - ); + ); //no ketjs off , if(Noflg==1,Ltype=0); ); @@ -4367,14 +4483,14 @@ Paramplot(nm,funstr,variable,options):=( , if(Noflg<2, if(isstring(Ltype), - if((Noflg==0)&(color!=KCOLOR), //181020 + if((Noflg==0)&(color!=KCOLOR), //181020 //no ketjs on Texcom("{");Com2nd("Setcolor("+color+")");//180722 - ); + ); //no ketjs off Ltype=GetLinestyle(text(Noflg)+Ltype,name); - if((Noflg==0)&(color!=KCOLOR), //181020 + if((Noflg==0)&(color!=KCOLOR), //181020 //no ketjs on Texcom("}");//180722 - ); - , + ); //no ketjs off + , if(Noflg==1,Ltype=0); ); if(Inflg==1, @@ -4408,7 +4524,7 @@ Connectseg(Pdata):=( ctr=0; while((length(vL)>0)&(ctr<1000), ctr=ctr+1; - qd=PlotL_(length(PlotL)); + qd=PlotL_(length(PlotL)); ah=qd_1; ao=qd_(length(qd)); flg=0; forall(1..(length(vL)),jj, @@ -4416,7 +4532,7 @@ Connectseg(Pdata):=( tmp1=Pdata_(vL_jj); pp=tmp1_1; qq=tmp1_(length(tmp1)); if(Norm(pp-ao)<Eps, - tmp=tmp1_(2..(length(tmp1))); + tmp=tmp1_(2..(length(tmp1))); if(length(tmp)>0, qd=concat(qd,tmp); ); @@ -4560,7 +4676,7 @@ Implicitplot(name1,func,xrng,yrng,optionsorg):=( xval1=xval2; eval11=eval21; eval12=eval22; - if(length(qL)==2, + if(length(qL)==2, out=append(out,qL); ); ); @@ -4583,21 +4699,21 @@ Implicitplot(name1,func,xrng,yrng,optionsorg):=( tmp1=append(tmp1,apply(tmp2,Pcrd(#))); ); ); - tmp=name+"="+textformat(tmp1,5); + tmp=name+"="+Textformat(tmp1,5); parse(tmp); - tmp=name+"=Implicitplot('"+func+"','"+xrng+"','"+yrng+"'"+opstr+")"; - GLIST=append(GLIST,tmp); + tmp=name+"=Implicitplot('"+func+"','"+xrng+"','"+yrng+"'"+opstr+")"; //no ketjs + GLIST=append(GLIST,tmp); //no ketjs ); if(Noflg<2, if(isstring(Ltype), - if((Noflg==0)&(color!=KCOLOR), //181020 + if((Noflg==0)&(color!=KCOLOR), //181020 //no ketjs on Texcom("{");Com2nd("Setcolor("+color+")");//180722 - ); - Ltype=GetLinestyle(text(Noflg)+Ltype,name); - if((Noflg==0)&(color!=KCOLOR), //181020 + ); //no ketjs off + Ltype=GetLinestyle(text(Noflg)+Ltype,name); + if((Noflg==0)&(color!=KCOLOR), //181020 //no ketjs on Texcom("}");//180722 - ); - , + ); //no ketjs off + , if(Noflg==1,Ltype=0); ); GCLIST=append(GCLIST,[name,Ltype,opcindy]); @@ -4688,9 +4804,9 @@ Circledata(nm,cenrad,options):=( if(Noflg<3, println("generate Circledata "+name); tmp1=apply(Out,Pcrd(#)); - tmp=name+"="+textformat(tmp1,5); + tmp=name+"="+Textformat(tmp1,5); parse(tmp); - if(length(cenrad)==2, + if(length(cenrad)==2, //no ketjs on tmp=name+"=Circledata("+cenrad+opstr+")"; , if(ra>0, @@ -4699,18 +4815,18 @@ Circledata(nm,cenrad,options):=( tmp=name+"=Lineplot("+cenrad_1+","+cenrad_2+")"; ); ); - GLIST=append(GLIST,tmp); + GLIST=append(GLIST,tmp); //no ketjs off ); if(Noflg<2, if(isstring(Ltype), - if((Noflg==0)&(color!=KCOLOR), //181020 + if((Noflg==0)&(color!=KCOLOR), //181020 //no ketjs on Texcom("{");Com2nd("Setcolor("+color+")");//180722 - ); - Ltype=GetLinestyle(text(Noflg)+Ltype,name); - if((Noflg==0)&(color!=KCOLOR), //181020 + ); //no ketjs off + Ltype=GetLinestyle(text(Noflg)+Ltype,name); + if((Noflg==0)&(color!=KCOLOR), //181020 //no ketjs on Texcom("}");//180722 - ); - , + ); //no ketjs off + , if(Noflg==1,Ltype=0); ); GCLIST=append(GCLIST,[name,Ltype,opcindy]); @@ -4790,20 +4906,20 @@ Framedata(nm,list,optionsorg):=( if(Noflg<3, println("generate Framedata "+name); tmp1=apply(Out,Pcrd(#)); - tmp=name+"="+textformat(tmp1,5); + tmp=name+"="+Textformat(tmp1,5); parse(tmp); - GLIST=append(GLIST,name+"=Framedata("+pA+","+dx+","+dy+")"); + GLIST=append(GLIST,name+"=Framedata("+pA+","+dx+","+dy+")"); //no ketjs ); if(Noflg<2, if(isstring(Ltype), - if((Noflg==0)&(color!=KCOLOR), //181020 + if((Noflg==0)&(color!=KCOLOR), //181020 //no ketjs on Texcom("{");Com2nd("Setcolor("+color+")");//180722 - ); - Ltype=GetLinestyle(text(Noflg)+Ltype,name); - if((Noflg==0)&(color!=KCOLOR), //181020 + ); //no ketjs off + Ltype=GetLinestyle(text(Noflg)+Ltype,name); + if((Noflg==0)&(color!=KCOLOR), //181020 //no ketjs on Texcom("}");//180722 - ); - , + ); //no ketjs off + , if(Noflg==1,Ltype=0); ); GCLIST=append(GCLIST,[name,Ltype,opcindy]); @@ -4826,20 +4942,20 @@ Framedata(nm,cent,dx,dy,options):=( if(Noflg<3, println("generate Framedata "+name); tmp1=apply(Out,Pcrd(#)); - tmp=name+"="+textformat(tmp1,5); + tmp=name+"="+Textformat(tmp1,5); parse(tmp); - GLIST=append(GLIST,name+"=Framedata("+cent.xy+","+dx+","+dy+")"); + GLIST=append(GLIST,name+"=Framedata("+cent.xy+","+dx+","+dy+")"); //no ketjs ); if(Noflg<2, if(isstring(Ltype), - if((Noflg==0)&(color!=KCOLOR), //180904 + if((Noflg==0)&(color!=KCOLOR), //180904 //no ketjs on Texcom("{");Com2nd("Setcolor("+color+")");//180722 - ); - Ltype=GetLinestyle(text(Noflg)+Ltype,name); - if((Noflg==0)&(color!=KCOLOR), //180904 + ); //no ketjs off + Ltype=GetLinestyle(text(Noflg)+Ltype,name); + if((Noflg==0)&(color!=KCOLOR), //180904 //no ketjs on Texcom("}");//180722 - ); - , + ); //no ketjs off + , if(Noflg==1,Ltype=0); ); GCLIST=append(GCLIST,[name,Ltype,opcindy]); @@ -4906,28 +5022,28 @@ Ovaldata(nm,Pdata,options):=( if(Noflg<3, println("generate Ovaldata "+name); tmp1=apply(Graph,Pcrd(#)); - tmp=name+"="+textformat(tmp1,5); + tmp=name+"="+Textformat(tmp1,5); parse(tmp); - GLIST=append(GLIST, - name+"=Ovaldata("+Ctr+","+Dx+","+Dy+opstr+")");//16.01.30 + GLIST=append(GLIST, //no ketjs + name+"=Ovaldata("+Ctr+","+Dx+","+Dy+opstr+")");//16.01.30 //no ketjs ); if(Noflg<2, if(isstring(Ltype), - if((Noflg==0)&(color!=KCOLOR), //180904 + if((Noflg==0)&(color!=KCOLOR), //180904 //no ketjs on Texcom("{");Com2nd("Setcolor("+color+")");//180722 - ); - Ltype=GetLinestyle(text(Noflg)+Ltype,name); - if((Noflg==0)&(color!=KCOLOR), //180904 + ); //no ketjs off + Ltype=GetLinestyle(text(Noflg)+Ltype,name); + if((Noflg==0)&(color!=KCOLOR), //180904 //no ketjs on Texcom("}");//180722 - ); - , + ); //no ketjs off + , if(Noflg==1,Ltype=0); ); GCLIST=append(GCLIST,[name,Ltype,opcindy]); tmp1=apply(Graph,Pcrd(#)); - tmp=name+"="+textformat(tmp1,5); + tmp=name+"="+Textformat(tmp1,5); parse(tmp); - tmp=textformat(Ctr,5)+","+textformat(Dx,5)+","+textformat(Dy,5); + tmp=Textformat(Ctr,5)+","+Textformat(Dx,5)+","+Textformat(Dy,5); ); Graph; ); @@ -5035,7 +5151,7 @@ Parabolaplot(nm,ptlist,rng,options):=( 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); + tmp2="x="+Textformat(tmp1,5); Plotdata(nm+"para",tmp,tmp2,append(options,"nodisp")); Rotatedata(nm+"para","gr"+nm+"para",angle,append(options,pB)); ); @@ -5194,7 +5310,7 @@ println([4573,ptlist]); tmp=angle+#*2*pi/number; tmp1=pA+rr*[cos(tmp),sin(tmp)]; if(#>0 & #<number, - if((ispoint(ptlist_2))&(geo=="Y"), //180708(3lines) + if((ispoint(ptlist_2))&(geo=="Y"), //180708[3lines] Putpoint((ptlist_2).name+text(#),tmp1);//16.10.07 ); //Pointdata(nm,ptL); @@ -5266,7 +5382,7 @@ Setarrow(arglist):=( ); [YaSize,YaAngle,YaPosition,YaCut,YasenStyle]; ); -////%Setarrow start//// +////%Setarrow end//// ////%Arrowheaddata start//// @@ -5331,7 +5447,7 @@ Arrowheaddata(point,direction,options):=( ); ); gG=apply(0..10,pP+ookisa*cos(hiraki)*[cos(2*pi/10*#),sin(2*pi/10*#)]); - Flg=0; + Flg=0; forall(1..rF,Nj, if(Flg==0, pB=Ptcrv(rF+1-Nj,Houkou); @@ -5429,7 +5545,7 @@ Arrowhead(nm,point,direction,optionsorg):=(//181018from if(!Inwindow(LLcrd(pP)),Noflg=2);//181018 if(Noflg<3, tmp1=apply(list,LLcrd(#)); - tmp=name+"="+textformat(tmp1,5); + tmp=name+"="+Textformat(tmp1,5); parse(tmp); ); if(Noflg<2, @@ -5451,14 +5567,14 @@ Arrowhead(nm,point,direction,optionsorg):=(//181018from hostr=format(apply(Houkou,LLcrd(#)),5); ); ); - if((Noflg==0)&(color!=KCOLOR), //180904 + if((Noflg==0)&(color!=KCOLOR), //180904 //no ketjs on Texcom("{");Com2nd("Setcolor("+color+")");//180722 - ); + ); //no ketjs off Com2nd("Arrowhead("+ptstr+","+hostr+opstr+")"); - if((Noflg==0)&(color!=KCOLOR), //180904 + if((Noflg==0)&(color!=KCOLOR), //180904 //no ketjs on Texcom("}");//180722 - ); -); + ); //no ketjs off + ); ); ////%Arrowhead end//// @@ -5580,7 +5696,7 @@ Anglemark(Arg1,Arg2):=( // 2015.04.28 from , plist=Arg1; options=Arg2; - tmp=textformat(plist,5); + tmp=Textformat(plist,5); tmp=replace(tmp,",",""); nm=substring(tmp,1,length(tmp)-1); Anglemark(nm,plist,options); @@ -5642,34 +5758,34 @@ Anglemark(nm,plist,options):=( 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) + 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) + tmp=tmp+Textformat(tmp1,5)+Dq+");"; + parse(tmp);//16.10.31to[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); + tmp=name+"="+Textformat(tmp1,5); parse(tmp); - tmp=textformat(plist,5); + tmp=Textformat(plist,5); //no ketjs on tmp1=substring(tmp,1,length(tmp)-1); tmp=name+"=Anglemark("+tmp1+opstr+")"; - GLIST=append(GLIST,tmp); + GLIST=append(GLIST,tmp); //no ketjs off ); if(Noflg<2, if(isstring(Ltype), - if((Noflg==0)&(color!=KCOLOR), //180904 + if((Noflg==0)&(color!=KCOLOR), //180904 //no ketjs on Texcom("{");Com2nd("Setcolor("+color+")");//180722 - ); - Ltype=GetLinestyle(text(Noflg)+Ltype,name); - if((Noflg==0)&(color!=KCOLOR), //180904 + ); //no ketjs off + Ltype=GetLinestyle(text(Noflg)+Ltype,name); + if((Noflg==0)&(color!=KCOLOR), //180904 //no ketjs on Texcom("}");//180722 - ); - , + ); //no ketjs off + , if(Noflg==1,Ltype=0); ); GCLIST=append(GCLIST,[name,Ltype,opcindy]); @@ -5690,7 +5806,7 @@ Paramark(Arg1,Arg2):=( // 17.03.27 from , plist=Arg1; options=Arg2; - tmp=textformat(plist,5); + tmp=Textformat(plist,5); tmp=replace(tmp,",",""); nm=substring(tmp,1,length(tmp)-1); Paramark(nm,plist,options); @@ -5738,29 +5854,29 @@ Paramark(nm,plist,options):=( 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+");"; + tmp="Defvar("+Dq+Bpos+"="+Textformat(tmp1,5)+Dq+");"; parse(tmp); - parse(Bname); + parse(Bname); ); if(Noflg<3, println("generate paramark "+name); tmp1=apply(Out,Pcrd(#)); - tmp=name+"="+textformat(tmp1,5); + tmp=name+"="+Textformat(tmp1,5); parse(tmp); - tmp1=substring(textformat(plist,5),1,length(textformat(plist,5))-1); + tmp1=substring(Textformat(plist,5),1,length(Textformat(plist,5))-1); //no ketjs on tmp=name+"=Paramark("+tmp1+opstr+")"; - GLIST=append(GLIST,tmp); + GLIST=append(GLIST,tmp); //no ketjs off ); if(Noflg<2, if(isstring(Ltype), - if((Noflg==0)&(color!=KCOLOR), //180904 + if((Noflg==0)&(color!=KCOLOR), //180904 //no ketjs on Texcom("{");Com2nd("Setcolor("+color+")");//180722 - ); - Ltype=GetLinestyle(text(Noflg)+Ltype,name); - if((Noflg==0)&(color!=KCOLOR), //180904 + ); //no ketjs off + Ltype=GetLinestyle(text(Noflg)+Ltype,name); + if((Noflg==0)&(color!=KCOLOR), //180904 //no ketjs on Texcom("}");//180722 - ); - , + ); //no ketjs off + , if(Noflg==1,Ltype=0); ); GCLIST=append(GCLIST,[name,Ltype,opcindy]); @@ -5791,7 +5907,7 @@ Bowdata(plist):=Bowdata(plist,[]); Bowdata(plist,options):=( regional(nm,tmp); if(islist(plist), // 16.12.04from - tmp=textformat(plist,5); + tmp=Textformat(plist,5); tmp=replace(tmp,",",""); nm=substring(tmp,1,length(tmp)-1); Bowdata(nm,plist,options); @@ -5854,9 +5970,9 @@ Bowdata(nm,plist,options):=( 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) + Bpos="md"+name; // 16.10.31from[moved] + tmp="Defvar("+Dq+Bpos+"="+Textformat(BOWMIDDLE,5)+Dq+");"; + parse(tmp);// 16.10.31to[moved] if(length(Bname)>0, //16.11.01from tmp=indexof(Bops,","); if(tmp>0, @@ -5892,7 +6008,7 @@ Bowdata(nm,plist,options):=( Bname=Bname+","; if(indexof(Bname,"rot")>0, if(rev==1,tmp=pB-pA,tmp=pA-pB); - Bname=Bname+textformat(tmp,5)+","; + Bname=Bname+Textformat(tmp,5)+","; , Bname=Bname+Dq+"c"+Dq+","; ); @@ -5927,27 +6043,27 @@ Bowdata(nm,plist,options):=( if(Noflg<3, println("generate bowdata "+name+" and "+Bpos);//16.10.31 if(MeasureDepth(Out)==1,Out=[Out]); - tmp1=[]; + tmp1=[]; forall(Out,tmp2, tmp=apply(tmp2,Pcrd(#)); tmp1=append(tmp1,tmp); ); - tmp=name+"="+textformat(tmp1,5); + tmp=name+"="+Textformat(tmp1,5); parse(tmp); - tmp1=substring(textformat(plist,5),1,length(textformat(plist,5))-1); + tmp1=substring(Textformat(plist,5),1,length(Textformat(plist,5))-1); //no ketjs on tmp=name+"=Bowdata("+tmp1+opstr+")"; - GLIST=append(GLIST,tmp); + GLIST=append(GLIST,tmp); //no ketjs off ); if(Noflg<2, if(isstring(Ltype), - if((Noflg==0)&(color!=KCOLOR), //180904 + if((Noflg==0)&(color!=KCOLOR), //180904 //no ketjs on Texcom("{");Com2nd("Setcolor("+color+")");//180722 - ); - Ltype=GetLinestyle(text(Noflg)+Ltype,name); - if((Noflg==0)&(color!=KCOLOR), //180904 - Texcom("}");//180722 - ); - , + ); //no ketjs off + Ltype=GetLinestyle(text(Noflg)+Ltype,name); + if((Noflg==0)&(color!=KCOLOR), //180904 //no ketjs on + Texcom("}");//180722 + ); //no ketjs off + , if(Noflg==1,Ltype=0); ); GCLIST=append(GCLIST,[name,Ltype,opcindy]); @@ -6082,7 +6198,7 @@ Deqplot(nm,deqorg,rngorg,initt,initf,options):=( //17.10.06 ); rng=rngorg; if(indexof(rng,"=")==0, - rng=rng+"="+textformat([XMIN,XMAX],6); + rng=rng+"="+Textformat([XMIN,XMAX],6); ); deq=deqorg; deq=replace(deq,"'","`"); //180527 @@ -6137,33 +6253,33 @@ Deqplot(nm,deqorg,rngorg,initt,initf,options):=( //17.10.06 deq=deq+"]"; ); if(Noflg<3, - pdL=deqdata(deq,rng,initt,initf,Num); + pdL=Deqdata(deq,rng,initt,initf,Num); if(phase==1, pdL=apply(pdL,#_(2..3)); ); tmp1=apply(pdL,Pcrd(#)); - tmp=name+"="+textformat(tmp1,5); + tmp=name+"="+Textformat(tmp1,5); parse(tmp); ); - if(Noflg<1, + if(Noflg<1, //no ketjs on tmp=Assign(deq); tmp=replace(deq,"'","`"); tmp=name+"=Deqplot('"+tmp+"','"+rng+"',"; - tmp=tmp+format(initt,6)+","+textformat(initf,6); + tmp=tmp+format(initt,6)+","+Textformat(initf,6); tmp=tmp+","+text(sel)+",'Num="+text(Num)+"')"; tmp=RSform(tmp); GLIST=append(GLIST,tmp); - ); + ); //no ketjs off if(Noflg<2, if(isstring(Ltype), - if((Noflg==0)&(color!=KCOLOR), //180904 + if((Noflg==0)&(color!=KCOLOR), //180904 //no ketjs on Texcom("{");Com2nd("Setcolor("+color+")");//180722 - ); - Ltype=GetLinestyle(text(Noflg)+Ltype,name); - if((Noflg==0)&(color!=KCOLOR), //180904 + ); //no ketjs off + Ltype=GetLinestyle(text(Noflg)+Ltype,name); + if((Noflg==0)&(color!=KCOLOR), //180904 //no ketjs on Texcom("}");//180722 - ); - , + ); //no ketjs off + , if(Noflg==1,Ltype=0); ); GCLIST=append(GCLIST,[name,Ltype,opcindy]); @@ -6194,7 +6310,7 @@ EnclosingS(nm,plist,options):=( Start=[]; Flg=0; forall(realL, - if(isList(#) % ispoint(#), + if(islist(#) % ispoint(#), Start=Lcrd(#); // 15.09.12 , Flg=Flg+1; @@ -6305,26 +6421,26 @@ EnclosingS(nm,plist,options):=( AnsL_(length(AnsL))=AnsL_1;//16.10.20 if(Noflg<3, println("generate Enclosing "+name); - tmp=name+"="+textformat(AnsL,5); + tmp=name+"="+Textformat(AnsL,5); parse(tmp); - tmp=name+"=Enclosing(";//16.11.07from - tmp1="list("; + tmp=name+"=Enclosing(";//16.11.07from //no ketjs on + tmp1="list"+PaO(); forall(plist, tmp1=tmp1+#+","; ); tmp=tmp+substring(tmp1,0,length(tmp1)-1)+")"+opstr+")"; - GLIST=append(GLIST,tmp);//16.11.07until + GLIST=append(GLIST,tmp);//16.11.07to //no ketjs off ); if(Noflg<2, if(isstring(Ltype), - if((Noflg==0)&(color!=KCOLOR), //180904 + if((Noflg==0)&(color!=KCOLOR), //180904 //no ketjs on Texcom("{");Com2nd("Setcolor("+color+")");//180722 - ); - Ltype=GetLinestyle(text(Noflg)+Ltype,name); - if((Noflg==0)&(color!=KCOLOR), //180904 + ); //no ketjs off + Ltype=GetLinestyle(text(Noflg)+Ltype,name); + if((Noflg==0)&(color!=KCOLOR), //180904 //no ketjs on Texcom("}");//180722 - ); - , + ); //no ketjs off + , if(Noflg==1,Ltype=0); ); GCLIST=append(GCLIST,[name,Ltype,opcindy]); @@ -6336,7 +6452,7 @@ EnclosingS(nm,plist,options):=( /////////// new enclosing /////////// ////%Enclosing start//// -Enclosing(nm,plist):=Enclosing2(nm,plist,[]);//180706(2lines) +Enclosing(nm,plist):=Enclosing2(nm,plist,[]);//180706[2lines] Enclosing(nm,plistorg,options):=Enclosing2(nm,plistorg,options); Enclosing2(nm,plist):=Enclosing2(nm,plist,[]); Enclosing2(nm,plistorg,options):=( @@ -6433,7 +6549,7 @@ Enclosing2(nm,plistorg,options):=( tmp2=Prepend(Op(length(tmp1),tmp),tmp2); Gdata=replace(Gdata,"(",""); Gdata=replace(Gdata,")",""); - tmp=Gdata+"="+textformat(tmp2,6); + tmp=Gdata+"="+Textformat(tmp2,6); parse(tmp); plist_nxtno=Gdata; t2=Length(tmp1); @@ -6474,28 +6590,28 @@ Enclosing2(nm,plistorg,options):=( ); if(Noflg<3, println("generate Enclosing "+name); - tmp=name+"="+textformat(AnsL,5); + tmp=name+"="+Textformat(AnsL,5); parse(tmp); tmp=name+"=Enclosing2(";//16.11.07from - tmp1="list("; + tmp1="list"+PaO(); forall(plistorg, //18.02.02 tmp1=tmp1+#+","; ); - tmp=tmp+substring(tmp1,0,length(tmp1)-1)+")";//18.0706from + tmp=tmp+substring(tmp1,0,length(tmp1)-1)+")";//18.0706from //no ketjs on if(length(Start)>0,tmp=tmp+","+Textformat(Start,6)); tmp=tmp+","+text(epspara)+")";//18.0706to,180707 - GLIST=append(GLIST,tmp);//16.11.07until + GLIST=append(GLIST,tmp);//16.11.07to //no ketjs off ); if(Noflg<2, if(isstring(Ltype), - if((Noflg==0)&(color!=KCOLOR), //180904 + if((Noflg==0)&(color!=KCOLOR), //180904 //no ketjs on Texcom("{");Com2nd("Setcolor("+color+")");//180722 - ); - Ltype=GetLinestyle(text(Noflg)+Ltype,name); - if((Noflg==0)&(color!=KCOLOR), //180904 + ); //no ketjs off + Ltype=GetLinestyle(text(Noflg)+Ltype,name); + if((Noflg==0)&(color!=KCOLOR), //180904 //no ketjs on Texcom("}");//180722 - ); - , + ); //no ketjs off + , if(Noflg==1,Ltype=0); ); GCLIST=append(GCLIST,[name,Ltype,opcindy]); @@ -6524,7 +6640,7 @@ Makehatch(iolistorg,pt,vec,bdylist):=( tmp="["+substring(tmp,0,length(tmp)-1)+"]"; iolist_#=parse(tmp); ); - Scalebkup=[SCALEX,SCALEY];//181020(2lines) + Scalebkup=[SCALEX,SCALEY];//181020[2lines] SCALEX=1; SCALEY=1; sg=Lineplot("",[pt,pt+vec],["nodata"]); @@ -6697,14 +6813,14 @@ Hatchdatacindy(nm,iostr,bdylistorg,optionsorg):=( ); );//180717to if(tmp=="s", - Listplot(name,[LLcrd(tmp2_1),[tmp2_1_1,2*YMIN-YMAX], //180717(2lines) + Listplot(name,[LLcrd(tmp2_1),[tmp2_1_1,2*YMIN-YMAX], //180717[2lines] [tmp2_(length(tmp2))_1,2*YMIN-YMAX],LLcrd(tmp2_(length(tmp2)))], ["nodisp"]); Joincrvs(text(kk)+name,[namep,"sg"+name],["nodisp"]);//180717 bname="join"+text(kk)+name; ); if(tmp=="n", - Listplot(name,[LLcrd(tmp2_1),[tmp2_1_1,2*YMAX-YMIN], //180717(2lines) + Listplot(name,[LLcrd(tmp2_1),[tmp2_1_1,2*YMAX-YMIN], //180717[2lines] [tmp2_(length(tmp2))_1,2*YMAX-YMIN],LLcrd(tmp2_(length(tmp2)))], ["nodisp"]); Joincrvs(text(kk)+name,[namep,"sg"+name],["nodisp"]); @@ -6722,8 +6838,8 @@ Hatchdatacindy(nm,iostr,bdylistorg,optionsorg):=( Joincrvs(text(kk)+name,[namep,"sg"+name],["nodisp"]);//180717 bname="join"+text(kk)+name; ); - , - Enclosing2(text(kk)+name,tmp,["nodisp"]);//180619(2lines); + , + Enclosing2(text(kk)+name,tmp,["nodisp"]);//180619[2lines] bname="en"+text(kk)+name; ); ); @@ -6851,7 +6967,7 @@ Hatchdatacindy(nm,iostr,bdylistorg,optionsorg):=( vec=[cos(angle),sin(angle)]; nvec=[-sin(angle),cos(angle)]; AnsL=[]; - ctr=0;//181005(2lines) + ctr=0;//181005[2lines] forall(0..(maxnum_1), kk, pt=startP+kk*interval*nvec; sha=Makehatch(iostr,pt,vec,bdylist); @@ -6868,41 +6984,41 @@ Hatchdatacindy(nm,iostr,bdylistorg,optionsorg):=( AnsL=concat(AnsL,sha); ); ); - tmp1=apply(AnsL,textformat(#,5)); + tmp1=apply(AnsL,Textformat(#,5)); tmp=name+"="+tmp1; parse(tmp); ); if((Noflg<3)&(mkflg>-1), if(fileflg!="Y", //181102 println("generate Hatchdata "+name); - tmp=name+"="+textformat(AnsL,5); + tmp=name+"="+Textformat(AnsL,5); parse(tmp); - if(!islist(iostr),tmp1=[iostr],tmp1=iostr); - tmp="c("; + if(!islist(iostr),tmp1=[iostr],tmp1=iostr); //no ketjs on + tmp="c"+PaO(); forall(tmp1, tmp=tmp+Dq+#+Dq+","; ); tmp=substring(tmp,0,length(tmp)-1)+")"; tmp2=name+"=Hatchdata("+tmp; forall(bdynameL, - tmp2=tmp2+",list("+#+")"; + tmp2=tmp2+",list"+PaO()+#+")"; ); tmp2=tmp2+opstr+")"; - GLIST=append(GLIST,tmp2); + GLIST=append(GLIST,tmp2); //no ketjs off , - GLIST=append(GLIST,"ReadOutData("+Dq+fname+Dq+")");//181102 + GLIST=append(GLIST,"ReadOutData("+Dq+fname+Dq+")");//181102 //no ketjs ); ); if((Noflg<2)&(mkflg>-1), if(isstring(Ltype), - if((Noflg==0)&(color!=KCOLOR), //180904 + if((Noflg==0)&(color!=KCOLOR), //180904 //no ketjs on Texcom("{");Com2nd("Setcolor("+color+")");//180722 - ); - Ltype=GetLinestyle(text(Noflg)+Ltype,name); - if((Noflg==0)&(color!=KCOLOR), //180904 + ); //no ketjs off + Ltype=GetLinestyle(text(Noflg)+Ltype,name); + if((Noflg==0)&(color!=KCOLOR), //180904 //no ketjs on Texcom("}");//180722 - ); - , + ); //no ketjs off + , if(Noflg==1,Ltype=0); ); GCLIST=append(GCLIST,[name,Ltype,opcindy]); @@ -6980,7 +7096,7 @@ Shade(nm,plistorg,options):=( //180613to ); ); //180929to if(length(color)==4, //180602from - tmp=colorCmyk2rgb(color); + tmp=Colorcmyk2rgb(color); ); flg=0; ctr=1; if(encflg==1, //180929from @@ -7004,7 +7120,7 @@ Shade(nm,plistorg,options):=( //180613to tmp2=append(tmp2,tmp); ); tmp1=Dqq("-"+name+text(ctr)); - tmp2=textformat(tmp2,6)+",["+Dqq("nodisp")+"]"; + tmp2=Textformat(tmp2,6)+",["+Dqq("nodisp")+"]"; tmp=name+text(ctr)+"=Listplot("+tmp1+","+tmp2+")"; parse(tmp); plist_jj=name+text(ctr); @@ -7018,11 +7134,11 @@ Shade(nm,plistorg,options):=( //180613to , G2=Joincrvs("1",plist,["nodata"]); G2=apply(G2,Pcrd(#)); - tmp1="fillpoly("+textformat(G2,5)+opcindy+");"; + tmp1="fillpoly("+Textformat(G2,5)+opcindy+");"; parse(tmp1); ); Str="Shade("; - tmp1="list("; + tmp1="list"+PaO(); forall(plist, if(isstring(#), // from 16.01.24 if(length(#)>1, @@ -7031,13 +7147,13 @@ Shade(nm,plistorg,options):=( //180613to tmp1=tmp1+Dq+#+Dq+","; ); , - tmp1=tmp1+"Listplot("+textformat(#,5)+"),"; + tmp1=tmp1+"Listplot("+Textformat(#,5)+"),"; ); //16.01.24to ); Str=Str+substring(tmp1,0,length(tmp1)-1)+")"+")"; //180929 - Com2nd("Texcom("+Dqq("{")+")",["before"]);Com2nd("Setcolor("+color+")",["before"]);//180722 + Com2nd("Texcom("+Dqq("{")+")",["before"]);Com2nd("Setcolor("+color+")",["before"]);//180722 //no ketjs on Com2nd(Str,["before"]); - Com2nd("Texcom("+Dqq("}")+")",["before"]);//180722 + Com2nd("Texcom("+Dqq("}")+")",["before"]);//180722 //no ketjs off ); ////%Shade end//// diff --git a/Master/texmf-dist/scripts/ketcindy/ketlib/ketcindylibbasic2logr.txt b/Master/texmf-dist/scripts/ketcindy/ketlib/ketcindylibbasic2logr.txt index 849afc3c4b7..64a995c970e 100644 --- a/Master/texmf-dist/scripts/ketcindy/ketlib/ketcindylibbasic2logr.txt +++ b/Master/texmf-dist/scripts/ketcindy/ketlib/ketcindylibbasic2logr.txt @@ -1,9 +1,67 @@ +// 20190203 +// Mkketcindyjs debugged ( in case of local=y ) +// 20190202 +// Bezier changed ( (nm, ptlist(2)) supported) +// Htickmark,Vtickmark changed ( option added) +// 20190201 +// Mkketcindyjs debugged ( for removing button case the last is not "," ) +// Ketjsoption renamed to Setketcindyjs +// Mkketcindyjs changed ( "grid" option added ) +// 20190131 +// Mkketcindyjs changed (removespace of ignoretun,buttons to be removed) +// 20190130 +// Mkketcindyjs changed (USEDFUN (global) added) +// Ketjsoption changed (color) +// 20190129 +// "/LF/" => "/L"+"F/" +// Ketjsoption added +// Mkketcindyjs changed ( option "Web","Local","Scale","Nolabel") +// Copyketcindyjs debugged ( for Windows ) +// Mkketcindyjs changed ( option "Color" added) +// 20190128 +// Mkketcindyjs changed ( texflg removed , katex is OK ) +// Copyketcindyjs added +// 20190126 +// Windispg debugged (for Pointdata) +// Mkketcindyjs change ( point size ) +// 20190125 +// Windispg redebugged ("size") +// 20190123 +// Windispg debugged ("size") +// 20190123 +// Dashlinedata debugged/changed (ptn ) +// Windispg changed (ptn=0) +// 20190122 +// Windispg changed ("connect"=>"drawall" for do,da ) +// no ketjs added (Windispg,Mkketcindyjs) +// Dashlinedata added +// 20190120 +// Slider changed (color,size options ) +// 20190119 +// Mkketcindyjs debugge ( ketlib slot addede to csinit ) +// Windispg changed ( size of "dr" supported); +// 20190118 +// Mkketcindyjs changed ( position of "katex", ketlib slot addede to csinit ) +// Windispg debugged ( dashtype,linecolor v.s. opcindy ) +// 20190116 +// Findfun, Extractfun, Extractall, Mkketcindyjs added (for new ketcindyjs) +// 20190103 +// Drwxy changed (Addax(0) added in the case of add=0 ) +// Drwxy changed ( "O=" option added ) +// 20190101 +// Viewtex changed ( for tikz ) +// // 20181231 +// Drwxy debugged (GENTEN used, xrng/yrng changed ) +// Drwpt debugged ( Pointdata used ) +// Viewtex debugged ( tikz ) // 20181224 // WritetoRS changed (Closefile("0")) // 20181219 // BBdata debugged (macosx => ismacosx ) // 20181218 // Letter, Expr changed (pt,dir,str,options added ) +// 20181217 +// Drwxy debugged // 20181216 // Drwxy changed ( linestyle,colorax,colorla ) // 20181215 diff --git a/Master/texmf-dist/scripts/ketcindy/ketlib/ketcindylibbasic2r.cs b/Master/texmf-dist/scripts/ketcindy/ketlib/ketcindylibbasic2r.cs index c904a1d0fae..a9611b0f98d 100644 --- a/Master/texmf-dist/scripts/ketcindy/ketlib/ketcindylibbasic2r.cs +++ b/Master/texmf-dist/scripts/ketcindy/ketlib/ketcindylibbasic2r.cs @@ -14,7 +14,7 @@ // along with this program. If not, see <http://www.gnu.org/licenses/> // -println("ketcindybasic2(20181224) loaded"); +println("ketcindybasic2[20190203] loaded"); //help:start(); @@ -164,24 +164,24 @@ Rotatedata(nm,plist,angle,options):=( tmp1=append(tmp1,tmp); ); if(length(tmp1)==1,tmp1=tmp1_1); - tmp=name+"="+textformat(tmp1,5); + tmp=name+"="+Textformat(tmp1,5); parse(tmp); - tmp1=text(plist); + tmp1=text(plist); //no ketjs on tmp1=RSform(tmp1,1);// 180602 tmp=name+"=Rotatedata("+tmp1+"," - +textformat(angle,5)+","+RSform(textformat(Pt,5))+")"; //17.12.23 - GLIST=append(GLIST,tmp); + +Textformat(angle,5)+","+RSform(Textformat(Pt,5))+")"; //17.12.23 + GLIST=append(GLIST,tmp); //no ketjs off ); if(Noflg<2, if(isstring(Ltype), - if((Noflg==0)&(color!=KCOLOR), //180904 + if((Noflg==0)&(color!=KCOLOR), //180904 //no ketjs on Texcom("{");Com2nd("Setcolor("+color+")");//180722 - ); - Ltype=GetLinestyle(text(Noflg)+Ltype,name); - if((Noflg==0)&(color!=KCOLOR), //180904 + ); //no ketjs off + Ltype=GetLinestyle(text(Noflg)+Ltype,name); + if((Noflg==0)&(color!=KCOLOR), //180904 //no ketjs on Texcom("}");//180722 - ); - , + ); //no ketjs off + , if(Noflg==1,Ltype=0); ); GCLIST=append(GCLIST,[name,Ltype,opcindy]); @@ -234,23 +234,23 @@ Translatedata(nm,plist,mov,options):=( tmp1=append(tmp1,tmp); ); if(length(tmp1)==1,tmp1=tmp1_1); - tmp=name+"="+textformat(tmp1,5); + tmp=name+"="+Textformat(tmp1,5); parse(tmp); - tmp1=text(plist); + tmp1=text(plist); //no ketjs on tmp1=RSform(tmp1,1);// 180602 - tmp=name+"=Translatedata("+tmp1+","+RSform(textformat(mov,5))+")"; - GLIST=append(GLIST,tmp); + tmp=name+"=Translatedata("+tmp1+","+RSform(Textformat(mov,5))+")"; + GLIST=append(GLIST,tmp); //no ketjs off ); if(Noflg<2, if(isstring(Ltype), - if((Noflg==0)&(color!=KCOLOR), //180904 + if((Noflg==0)&(color!=KCOLOR), //180904 //no ketjs on Texcom("{");Com2nd("Setcolor("+color+")");//180722 - ); - Ltype=GetLinestyle(text(Noflg)+Ltype,name); - if((Noflg==0)&(color!=KCOLOR), //180904 + ); //no ketjs off + Ltype=GetLinestyle(text(Noflg)+Ltype,name); + if((Noflg==0)&(color!=KCOLOR), //180904 //no ketjs on Texcom("}");//180722 - ); - , + ); //no ketjs off + , if(Noflg==1,Ltype=0); ); GCLIST=append(GCLIST,[name,Ltype,opcindy]); @@ -272,10 +272,10 @@ Scaledata(nm,plist,Arg1,Arg2):=( //help:Scaledata("1",["crAB","pt1"],2,[[0,0]]); regional(tmp,options); if(islist(Arg2), - tmp=Arg1;//180603(2lines) + tmp=Arg1;//180603[2lines] if(!islist(tmp),tmp=[tmp,tmp]); tmp=Lcrd(tmp); - options=Arg2; + options=Arg2; Scaledata(nm,plist,tmp_1,tmp_2,options); , Scaledata(nm,plist,Arg1,Arg2,[]); @@ -326,24 +326,24 @@ Scaledata(nm,plist,rx,ry,options):=( tmp1=append(tmp1,tmp); ); if(length(tmp1)==1,tmp1=tmp1_1); - tmp=name+"="+textformat(tmp1,5); + tmp=name+"="+Textformat(tmp1,5); parse(tmp); - tmp1=text(plist); + tmp1=text(plist); //no ketjs on tmp1=RSform(tmp1,1); // 180602 tmp=name+"=Scaledata("+tmp1+"," - +textformat(rx,5)+","+textformat(ry,5)+","+RSform(textformat(Pt,5))+")"; - GLIST=append(GLIST,tmp); + +Textformat(rx,5)+","+Textformat(ry,5)+","+RSform(Textformat(Pt,5))+")"; + GLIST=append(GLIST,tmp); //no ketjs off ); if(Noflg<2, if(isstring(Ltype), - if((Noflg==0)&(color!=KCOLOR), //180904 + if((Noflg==0)&(color!=KCOLOR), //180904 //no ketjs on Texcom("{");Com2nd("Setcolor("+color+")");//180722 - ); - Ltype=GetLinestyle(text(Noflg)+Ltype,name); - if((Noflg==0)&(color!=KCOLOR), //180904 + ); //no ketjs off + Ltype=GetLinestyle(text(Noflg)+Ltype,name); + if((Noflg==0)&(color!=KCOLOR), //180904 //no ketjs on Texcom("}");//180722 - ); - , + ); //no ketjs off + , if(Noflg==1,Ltype=0); ); GCLIST=append(GCLIST,[name,Ltype,opcindy]); @@ -412,23 +412,23 @@ Reflectdata(nm,plist,symL,options):=( tmp1=append(tmp1,tmp); ); if(length(tmp1)==1,tmp1=tmp1_1); - tmp=name+"="+textformat(tmp1,5); + tmp=name+"="+Textformat(tmp1,5); parse(tmp); - tmp1=text(plist); + tmp1=text(plist); //no ketjs on tmp1=RSform(tmp1,1);// 180602 - tmp=name+"=Reflectdata("+tmp1+","+RSform(textformat(symL,5))+")";//17.12.23 - GLIST=append(GLIST,tmp); + tmp=name+"=Reflectdata("+tmp1+","+RSform(Textformat(symL,5))+")";//17.12.23 + GLIST=append(GLIST,tmp); //no ketjs off ); if(Noflg<2, if(isstring(Ltype), - if((Noflg==0)&(color!=KCOLOR), //180904 + if((Noflg==0)&(color!=KCOLOR), //180904 //no ketjs on Texcom("{");Com2nd("Setcolor("+color+")");//180722 - ); - Ltype=GetLinestyle(text(Noflg)+Ltype,name); - if((Noflg==0)&(color!=KCOLOR), //180904 + ); //no ketjs off + Ltype=GetLinestyle(text(Noflg)+Ltype,name); + if((Noflg==0)&(color!=KCOLOR), //180904 //no ketjs on Texcom("}");//180722 - ); - , + ); //no ketjs off + , if(Noflg==1,Ltype=0); ); GCLIST=append(GCLIST,[name,Ltype,opcindy]); @@ -490,7 +490,7 @@ MakeRarg(arglist):=( if(isstring(#), tmpstr=Dq+RSslash(#)+Dq; , - tmpstr=textformat(#,6); + tmpstr=Textformat(#,6); ); str=str+tmpstr+","; ); @@ -500,23 +500,24 @@ MakeRarg(arglist):=( ////%MakeRarg end//// ////%Htickmark start//// -Htickmark(arglist):=( +Htickmark(arglist):=Htickmark(arglist,[]); //190203 +Htickmark(arglist,options):=( //190203 //help:Htickmark([1,"1",2,"sw","2"]); regional(nn,tmp,tmp1,tmp2,mark); mark=MARKLEN/SCALEY; tmp1=select(1..(length(arglist)),!isstring(arglist_#)); //180710from forall(tmp1,nn, Listplot("ht"+text(nn), - [[arglist_nn,mark],[arglist_nn,-mark]],["Msg=n"]);//181017 + [[arglist_nn,mark],[arglist_nn,-mark]],["Msg=n"]);//181017 if(nn+2<=length(arglist), tmp=arglist_(nn+2); if(!isstring(tmp), - Expr([[arglist_nn,0],"s1",arglist_(nn+1)]); + Expr([[arglist_nn,0],"s1",arglist_(nn+1)],options); //190203 , - Expr([[arglist_nn,0],arglist_(nn+1),arglist_(nn+2)]); + Expr([[arglist_nn,0],arglist_(nn+1),arglist_(nn+2)],options); //190203 ); , - Expr([[arglist_nn,0],"s1",arglist_(nn+1)]); + Expr([[arglist_nn,0],"s1",arglist_(nn+1)],options); //190203 ); );//180710to // tmp=""; @@ -526,23 +527,24 @@ Htickmark(arglist):=( ////%Htickmark end//// ////%Vtickmark start//// -Vtickmark(arglist):=( +Vtickmark(arglist):=Vtickmark(arglist,[]); //190203 +Vtickmark(arglist,options):=( //190203 //help:Vtickmark([1,"1",2,"sw","2"]); regional(nn,tmp,tmp1,tmp2,mark); mark=MARKLEN/SCALEX; tmp1=select(1..(length(arglist)),!isstring(arglist_#)); //180710from forall(tmp1,nn, Listplot("vt"+text(nn), - [[mark,arglist_nn],[-mark,arglist_nn]],["Msg=n"]); //181021 + [[mark,arglist_nn],[-mark,arglist_nn]],["Msg=n"]); //181021 if(nn+2<=length(arglist), tmp=arglist_(nn+2); if(!isstring(tmp), - Expr([[0,arglist_nn],"w1",arglist_(nn+1)]); + Expr([[0,arglist_nn],"w1",arglist_(nn+1)],options); //190203 , - Expr([[0,arglist_nn],arglist_(nn+1),arglist_(nn+2)]); + Expr([[0,arglist_nn],arglist_(nn+1),arglist_(nn+2)],options); //190203 ); , - Expr([[0,arglist_nn],"w1",arglist_(nn+1)]); + Expr([[0,arglist_nn],"w1",arglist_(nn+1)],options); //190203 ); );//180710to// tmp=MakeRarg(arglist); // Com2nd("Vtickmark("+tmp+")"); @@ -581,7 +583,7 @@ Htick(px,lenorg,options):=( ////%Setax start//// Setax(arglist):=( -//help:Setax(["l","x","e","y","n","O","sw",]); +//help:Setax(["l","x","e","y","n","O","sw"]); //help:Setax([7,"nw"]); //help:Setax([8,linestyle,colorax,colorlabel]); regional(st,nn,tmp); //181215from @@ -601,19 +603,29 @@ Setax(arglist):=( ////%Setax end//// ////%Drwxy start//// -Drwxy():=Drwxy([]); -Drwxy(optionsorg):=( +Drwxy():=Drwxy(0,[]); //190103from +Drwxy(Arg):=( + if(islist(Arg),Drwxy(0,Arg); Drwxy(Arg,[])); +); +Drwxy(add):=Drwxy(add,[]); +Drwxy(add,optionsorg):=( //190103to //help:Drwxy(); -//help:Drwxy(options=["Origin=[0,0]","Xrng=","Yrng=","Ax=l,x,e,..."]); +//help:Drwxy(1[the last axis will be drawn],oprions); +//help:Drwxy(options); +//help:Drwxy(options=["Xrng=","Yrng=","Ax=l,x,e,..."]); regional(options,color,eqL,strL,org,xrng,yrng,ax,st,nn,size, linesty,colorax,colorla,tmp,tmp1,tmp2); options=optionsorg; tmp=Divoptions(options); color=tmp_(length(tmp)-2); eqL=tmp_5; - org=[0,0]; - xrng=[XMIN,XMAX]; - yrng=[YMIN,YMAX]; + org=GENTEN; + //tmp1=max([org_1+XMIN,XMIN]); + //tmp2=min([org_1+XMAX,XMAX]); + xrng=[XMIN,XMAX]; //190103 + //tmp1=max([org_2+YMIN,YMIN]); + //tmp2=min([org_2+YMAX,YMAX]); + yrng=[YMIN,YMAX]; //190103 ax=AXSTYLE; linesty=ax_8; if(isstring(ax_9),colorax=ax_9,colorax=text(ax_9)); @@ -631,10 +643,10 @@ Drwxy(optionsorg):=( forall(eqL, tmp=Strsplit(#,"="); tmp1=Toupper(substring(tmp_1,0,1)); - if(tmp1=="O", + if(tmp1=="O", //190103from org=parse(tmp_2); options=remove(options,[#]); - ); + ); //190103to if(tmp1=="X", xrng=parse(tmp_2); options=remove(options,[#]); @@ -663,7 +675,7 @@ Drwxy(optionsorg):=( strL=select(options,isstring(#)); //181216 tmp=select(strL,contains(["dr","da","do","id"],substring(#,0,2))); if(length(tmp)==0,options=append(options,YasenStyle)); - tmp=substring(ax_1,1,length(ax_1)); //181216(2lines) + tmp=substring(ax_1,1,length(ax_1)); //181216[2lines] if(length(tmp)>0,size=parse(tmp),size=YaSize); tmp1=concat(options,[size,YaAngle,YaPosition,YaCut,colorax]);//181216 tmp=[[xrng_1,org_2],[xrng_2,org_2]]; @@ -678,22 +690,28 @@ Drwxy(optionsorg):=( Listplot("axy"+text(AXCOUNT),tmp,tmp1); ); AXCOUNT=AXCOUNT+1; - Expr([[xrng_2,org_2],ax_3,ax_2],[colorla]);//181216(3lines) + Expr([[xrng_2,org_2],ax_3,ax_2],[colorla]);//181216[3lines] Expr([[org_1,yrng_2],ax_5,ax_4],[colorla]); Letter([org,ax_7,ax_6],[colorla]); - // Addax(0); // 16.01.21 + if(add==0, //190103 + Addax(0); + ); ); ////%Drwxy end//// ////%Drwpt start//// -Drwpt(pstr):=Drawpoint(pstr); +Drwpt(pstr):=Drwpt(pstr,1); //181231 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); + if(!isreal(DrwPtCtr), //181231from + DrwPtCtr=1; + ); + Pointdata(text(DrwPtCtr),ptlist,["Inside="+text(nn)]); + DrwPtCtr=DrwPtCtr+1; //181231to ); +////%Drwpt end//// +////%Drawpoint start//// Drawpoint(pstr):=( if(isstring(pstr), println("Drwpt : "+pstr); @@ -718,12 +736,12 @@ Drawpoint(ptlistorg,nn):=( tmp1=max(TenSize/TenSizeInit,1)/8; Setpen(tmp1); // 16.04.09 until forall(ptlist, - tmp=textformat(#,5)+","+text(nn); + tmp=Textformat(#,5)+","+text(nn); Com2nd("Drwpt("+tmp+")"); // 16.04.09 ); Setpen(thick); // 16.04.09 );// 16.03.05 until -////%Drwpt end//// +////%Drawpoint end//// ////%Addax start//// Addax(param):=( @@ -770,7 +788,7 @@ Letter(list,options):=( aln="left"; forall(opL, tmp=indexof(#,"->"); - tmp1=removespace(substring(#,0,tmp-1)); + tmp1=Removespace(substring(#,0,tmp-1)); tmp2=substring(#,tmp+1,length(#)); if(tmp1=="size",sz=parse(tmp2)); if(tmp1=="color",clr=parse(tmp2)); @@ -781,7 +799,7 @@ Letter(list,options):=( Dmv=8; Nj=1; while(Nj+2<=length(list), -// Pos=textformat(list_Nj,5); +// Pos=Textformat(list_Nj,5); Pos=list_Nj; Dir=list_(Nj+1); tmp=indexof(Dir,"s")+indexof(Dir,"n");//16.10.19from @@ -799,15 +817,15 @@ Letter(list,options):=( Str=RSslash(Str); // 17.09.24 Str=replace(Str,"`","'");//180303 tmp=Dq+","+Dq+Str+Dq+")"; - if(Noflg==0, + if(Noflg==0, //no ketjs on if((Noflg==0)&(color!=KCOLOR), //180904 Texcom("{");Com2nd("Setcolor("+color+")");//180722 ); - Com2nd("Letter("+Lcrd(Pos)+","+Dq+Dir+tmp);//16.10.10 - if((Noflg==0)&(color!=KCOLOR), //180904 + Com2nd("Letter("+Lcrd(Pos)+","+Dq+Dir+tmp);//16.10.10 + if((Noflg==0)&(color!=KCOLOR), //180904 Texcom("}");//180722 ); - ); + ); //no ketjs off if(Noflg<2, Xmv=0;//16.10.13 Ymv=-4; @@ -936,11 +954,24 @@ Exprrot(pt,dir,tmov,nmov,str,options):=( ////%Exprrot end//// ////%Slider start//// -Putslider(ptstr,p1,p2):=Slider(ptstr,p1,p2); -Slider(ptstr,p1,p2):=( //17.04.11 +Slider(ptstr,p1,p2):=Slider(ptstr,p1,p2,[]); +Slider(ptstr,p1,p2,options):=(//190120 //help:Slider("A-C-B",[-3,0],[3,0]); - regional(pA,pB,pC,seg,sname,Alpha,tmp,tmp1); - tmp=indexall(ptstr,"-"); +//help:Slider(options=["Color=0.6*[0,0,1]","Size=2"]); + regional(pA,pB,pC,seg,sname,Alpha,color,size,tmp,tmp1); + color="Color=0.6*[0,0,1]"; //190120from + size="size->2"; + forall(options, + tmp=Toupper(substring(#,0,1)); + if(tmp=="C", + color=#; + ); + if(tmp=="S", + tmp=Strsplit(#,"="); + size="size->"+tmp_2; + ); + ); //190120to + 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)); @@ -958,7 +989,7 @@ Slider(ptstr,p1,p2):=( //17.04.11 ); Putpoint(pA,p1); Putpoint(pB,p2); - Listplot([parse(pA),parse(pB)],["notex","color->[0,0.4,0.4]","size->2"]); + Listplot([parse(pA),parse(pB)],["Msg=n","notex",color,size]); // create([sname],"Segment",[parse(pA),parse(pB)]); // tmp2=Listplot("",[p1,p2],["nodata"]); Putonseg(pC,parse("sg"+pA+pB)); @@ -975,7 +1006,22 @@ Putpoint(name,Ptinit,Pt):=( if(!contains(ptstr,name), createpoint(name,Pcrd([Ptinit_1,Ptinit_2])); , - ptstr=name+".xy="+textformat(Pcrd(Pt),5); + ptstr=name+".xy="+Textformat(Pcrd(Pt),5); + parse(ptstr); + ); +); +////%Putpoint end//// + +////%Putpoint start//// +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); ); ); @@ -1012,7 +1058,16 @@ Bezierpt(t,ptlist,ctrlist):=( ////%Bezier start//// Bezier(ptctrlist):=BezierCurve(ptctrlist_3,ptctrlist_1,ptctrlist_2,[]); -Bezier(ptctrlist,options):=BezierCurve(ptctrlist_3,ptctrlist_1,ptctrlist_2,options); +Bezier(Arg1,Arg2):=( //190202from + regional(nm,ptctrlist,options); + if(islist(Arg1), + ptctrlist=Arg1; options=Arg2; + BezierCurve(ptctrlist_3,ptctrlist_1,ptctrlist_2,options); + , + nm=Arg1; ptctrlist=Arg2; + BezierCurve(nm,ptctrlist_1,ptctrlist_2,[]); + ); +); //190202to Bezier(nm,ptlist,ctrlist):=BezierCurve(nm,ptlist,ctrlist,[]); Bezier(nm,ptlist,ctrlist,options):=BezierCurve(nm,ptlist,ctrlist,options); ////%Bezier end//// @@ -1042,9 +1097,9 @@ BezierCurve(nm,ptlistorg,ctrlistorg,options):=( ptlist=apply(ptlistorg,Lcrd(#)); // 16.08.16 ctrlist=[]; // 14.12.31 if(length(ctrlistorg)==length(ptlist)-1, - forall(ctrlistorg,tmp1, + forall(1..(length(ctrlistorg)),ii, //190202 + tmp1=apply(ctrlistorg_ii,Lcrd(#)); //190202 if(MeasureDepth(tmp1)==0,tmp=[tmp1],tmp=tmp1); - tmp=apply(tmp,Lcrd(#)); // 16.08.16 ctrlist=append(ctrlist,tmp); ); , @@ -1070,24 +1125,24 @@ BezierCurve(nm,ptlistorg,ctrlistorg,options):=( if(Noflg<3, println("generate Bezier "+name); out=apply(list,Pcrd(#)); - tmp=name+"="+textformat(out,5); + tmp=name+"="+Textformat(out,5); parse(tmp); - tmp1=textformat(ptlist,5); + tmp1=Textformat(ptlist,5); //no ketjs on tmp1=RSform(tmp1,2); //17.12.23 - tmp2=textformat(ctrlist,5); + tmp2=Textformat(ctrlist,5); tmp2=RSform(tmp2,3); //17.12.23 - GLIST=append(GLIST,name+"=Bezier("+tmp1+","+tmp2+opstr+")"); + GLIST=append(GLIST,name+"=Bezier("+tmp1+","+tmp2+opstr+")"); //no ketjs off ); if(Noflg<2, if(isstring(Ltype), - if((Noflg==0)&(color!=KCOLOR), //180904 + if((Noflg==0)&(color!=KCOLOR), //180904 //no ketjs on Texcom("{");Com2nd("Setcolor("+color+")");//180722 - ); - Ltype=GetLinestyle(text(Noflg)+Ltype,name); - if((Noflg==0)&(color!=KCOLOR), //180904 + ); //no ketjs off + Ltype=GetLinestyle(text(Noflg)+Ltype,name); + if((Noflg==0)&(color!=KCOLOR), //180904 //no ketjs on Texcom("}");//180722 - ); - , + ); //no ketjs off + , if(Noflg==1,Ltype=0); ); GCLIST=append(GCLIST,[name,Ltype,opcindy]); @@ -1188,14 +1243,14 @@ Putbezierdata(name,ptL,options):=( 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 + 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 + 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 + 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)]); @@ -1204,7 +1259,7 @@ Putbezierdata(name,ptL,options):=( 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 + Letter([parse(tmp1),"ne",tmp1],["notex"]); //15.01.22 inspect(parse(tmp1),"ptsize",psize); inspect(parse(tmp1),"color",3); ctrs=append(ctrs,[parse(tmp1)]); @@ -1294,7 +1349,7 @@ Writebezier(head,seL):=( tmp1=bz_#; ); tmp1=replace(tmp1,"Bezier(","["); - tmp1=replace(tmp1,"list(","["); + tmp1=replace(tmp1,"list"+PaO(),"["); tmp1=replace(tmp1,")","]"); tmp1=replace(tmp1,",",".xy,"); tmp1=replace(tmp1,"]",".xy]"); @@ -1336,7 +1391,7 @@ Readbezier(file,optionorg):=( tmp1=parse(tmp+"k"); tmp2=parse(tmp+"c"); if(MeasureDepth(tmp2)==1,tmp2=[tmp2]); // 16.04.22from - if(geo==1, + if(geo==1, alpha="abcdefghijklmnopqrstuvwxyz"; forall(1..length(tmp1), tmp="k"+BezierNumber+"n"+text(nc)+substring(alpha,#-1,#); @@ -1507,7 +1562,7 @@ Bzspline(nm,ptLorg,options):=( pt1=parse("C"+text(#-1)+"q"); create([lstr],"Join",[pt1,pt]); tmp2="C"+text(#)+"p"; - tmp=Append((2*pt.xy-pt1.xy),1); + tmp=append((2*pt.xy-pt1.xy),1); create([tmp2],"PointOnLine",[parse(lstr),tmp]); ); ); @@ -1523,7 +1578,7 @@ Bzspline(nm,ptLorg,options):=( pt1=parse("C"+text(length(ptL)-1)+"q"); create([lstr],"Join",[pt1,pt]); tmp1="C1p"; - tmp=Append((2*pt.xy-pt1.xy),1); + tmp=append((2*pt.xy-pt1.xy),1); create([tmp1],"PointOnLine",[parse(lstr),tmp]); ); ctrlist=[]; @@ -1575,14 +1630,14 @@ Bzsspline(nm,ptLorg,options):=( if(cflg==0, pt=ptL_1; pt1=ptL_2; - Putpoint("C1p",(4*pt+pt1)/5,Lcrd(C1p)); // 16.08.16 + 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 + tmp1="Putpoint("+Dq+"C1p"+Dq+",2*pt-pt1)"; // 16.08.16 parse(tmp1); ); ctrlist=[]; @@ -1659,7 +1714,7 @@ MeetCurve(Crv,Xorg,Yorg):=( Ban=concat(tmp1,tmp2); Tate=select(Ban, abs(Cv_#_1-Cv_(#+1)_1)<= - 10^(-2)*abs(Cv_#_2-Cv_(#+1)_2) + 10^(-2)*abs(Cv_#_2-Cv_(#+1)_2) ); Ban=remove(Ban,Tate); Ylist=[]; @@ -1694,11 +1749,11 @@ MeetCurve(Crv,Xorg,Yorg):=( ); ////%MeetCurve end//// -////%PutonLine start//// -PutonLine(name,p1,p2):=PutonLine(name,p1,p2,[]); -PutonLine(name,p1org,p2org,options):=( -//help:PutonLine("C","sgAB"); -//help:PutonLine("C",pA,pB); +////%Putonline start//// +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); @@ -1725,19 +1780,20 @@ PutonLine(name,p1org,p2org,options):=( ); ); ); -////%PutonLine end//// +////%Putonline end//// -////%PutonSeg start//// -PutonSeg(name,sgstr):=( +////%Putonseg start//// +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,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); +Putonseg(name,p1,p2):=Putonseg(name,p1,p2,[]); +Putonseg(name,p1org,p2org,options):=( +//help:Putonseg("C","sgAB"); +//help:Putonseg("C",pA,pB); + regional(Eps,par,dx,dy,p,tmp,tmp1,tmp2); + Eps=10^(-5); par=0.5; tmp=Divoptions(options); if(length(tmp_6)>0, @@ -1745,31 +1801,31 @@ PutonSeg(name,p1org,p2org,options):=( ); p1=Lcrd(p1org);//16.10.11from p2=Lcrd(p2org); - PutonLine(name,p1,p2,[par]); + Putonline(name,p1,p2,[par]); + p1=Pcrd(p1); p2=Pcrd(p2); //190120 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 - ); - ); -); -////%PutonSeg end//// +// p=LLcrd(p); + if(abs(dx)>abs(dy), //190120from + if(p1_1>p2_1,tmp=p1;p1=p2;p2=tmp); + if(p_1<p1_1,parse(name+".xy="+Textformat(p1,5));p=p1); + if(p_1>p2_1,parse(name+".xy="+Textformat(p2,5));p=p2); + tmp=(p2_2-p1_2)/(p2_1-p1_1)*(p_1-p1_1)+p1_2; + parse(name+".y="+tmp); + , + if(p1_2>p2_2,tmp=p1;p1=p2;p2=tmp); + if(p_2<p1_2,parse(name+".xy="+Textformat(p1,5));p=p1); + if(p_2>p2_2,parse(name+".xy="+Textformat(p2,5));p=p2); + tmp=(p2_1-p1_1)/(p2_2-p1_2)*(p_2-p1_2)+p1_1; + parse(name+".x="+tmp); + ); //190120to +); +////%Putonseg end//// -////%PutonCurve start//// -PutonCurve(pn,crv):=PutonCurve(pn,crv,[]); -PutonCurve(pn,crv,options):=( +////%Putoncurve start//// +Putoncurve(pn,crv):=Putoncurve(pn,crv,[]); +Putoncurve(pn,crv,options):=( //help:Putoncurve("A","gr1"); //help:Putoncurve("A","gr1",[0,XMAX]); regional(Pmt,pstr,optionL,leftlim,rightlim,tmp,tmp1,Flg,Msg); @@ -1793,25 +1849,25 @@ PutonCurve(pn,crv,options):=( ); ); Pmt=MeetCurve(crv,leftlim,0); - pstr=apply(allpoints(),textformat(#,5)); // 15.04.07 + 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,Textformat(tmp,5),pn+".y"); , Pmt=MeetCurve(crv,pn+".x",pn+".y"); ); - ptstr=pn+".xy="+textformat(Pcrd(Pmt),5)+";"; + ptstr=pn+".xy="+Textformat(Pcrd(Pmt),5)+";"; parse(ptstr); ); if(Msg=="y", println("Put "+pn+" on Curve "+text(crv)); ); ); -////%PutonCurve end//// +////%Putoncurve end//// ////%CrossPoint start//// CrossPoint(name,Crv1,Crv2,range):=( @@ -1872,16 +1928,16 @@ Periodfun(defL,reporg,optionorg):=( // 16.11.24 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) + 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); + "x="+Textformat([tmp1,tmp2],5),options); pdata=append(pdata,"grpe"+text(nn)); - tmp1=range_1; //17.06.11(4lines) + 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)); @@ -1900,7 +1956,7 @@ Periodfun(defL,reporg,optionorg):=( // 16.11.24 forall(1..(rep_2),nr, forall(1..(length(pdata)),np, Translatedata("p"+np+text(nr),pdata_np,[per*nr,0],options); - tmp2=concat(tmp2,["trp"+np+text(nr)]); + tmp2=concat(tmp2,["trp"+np+text(nr)]); ); );//180724to pdata=concat(tmp1,pdata); @@ -2125,9 +2181,9 @@ Tabledata(nm,xLst,yLst,rmvL,optionorg):=( Putpoint(tmp,Tgrid(tmp1)); , Putpoint(tmp,Tgrid(tmp1),[R0.x,parse(tmp+".y")]); - rlist_(#+1)=parse(tmp+".xy"); + rlist_(#+1)=parse(tmp+".xy"); //no ketjs ); - Putpoint(tmp,Tgrid(tmp1),[R0.x,parse(tmp+".y")]); + Putpoint(tmp,Tgrid(tmp1),[R0.x,parse(tmp+".y")]); inspect(parse(tmp),"ptsize",3); inspect(parse(tmp),"labeled",false); if(mod(#,tick)==0 % #==n, @@ -2358,7 +2414,7 @@ Findcell(Tbdata,pos1,pos2):=( regional(tmp1,tmp2,posnw,posse,ctr,dx,dy); if(isstring(pos1), posnw=Tgrid(pos1); // 15.05.20 - posse=Tgrid(pos2); + posse=Tgrid(pos2); //posnw=parse(pos1); //posse=parse(pos2); , @@ -2479,9 +2535,9 @@ 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("); + rep1="c"+PaO(); rep2="c"+PaO(); rep3="list"+PaO(); + if(listfrom<3,rep2="list"+PaO()); + if(listfrom==1,rep1="list"+PaO()); posL=Bracket(str,"[]"); tmp=apply(posL,#_2); mxlv=max(tmp); @@ -2505,8 +2561,8 @@ RSform(str,listfrom):=( 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=replace(out,"c"+PPa("1"),"[1]");//17.10.06[2lines] + out=replace(out,"c"+PPa("2"),"[2]"); out; ); ////%RSform end//// @@ -2524,8 +2580,8 @@ RSslash(str):=( //17.09.24 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,"[[[","list"+PaO()+"[["); + out=replace(out,"[","c"+PaO()); out=replace(out,"]",")"); out=replace(out,".xy",""); out=replace(out,".x","[1]"); @@ -2587,7 +2643,7 @@ IftoR(strorg):=( //180802 regional(str,ifL,ppL,cpL,kk,sL,out, tmp,tmp1,tmp2,tmp3,tmp4); str=replace(strorg,LFmark,""); - ifL=Indexall(str,"if("); + ifL=Indexall(str,"if"+PaO()); ppL=Bracket(str,"()"); cpL=Indexall(str,","); tmp1=Bracket(str,"[]"); @@ -2633,7 +2689,7 @@ FortoR(strorg):=( if(forstr==0, out=str; , - pre=substring(str,0,forstr-1)+"for("; + pre=substring(str,0,forstr-1)+"for"+PaO(); ppL=Bracket(str,"()"); tmp1=forstr+6; tmp=select(ppL,#_1==tmp1); @@ -2669,7 +2725,7 @@ Deffun(name,bodylist):=( funstr=funstr+");"; parse(funstr); tmp=indexof(name,"("); - str=substring(name,0,tmp-1)+"<-function("; + str=substring(name,0,tmp-1)+"<-function"+PaO(); str=str+substring(name,tmp,length(name))+"{"; forall(1..(length(bodylist)-1),nbody, bdy=bodylist_nbody; @@ -2704,7 +2760,7 @@ Deffun(name,bodylist):=( str=str+bdy+";"; ); ); - str=str+"return("+bodylist_(length(bodylist))+")}"; + str=str+"return"+PaO()+bodylist_(length(bodylist))+")}"; FUNLIST=append(FUNLIST,str); ); ////%Deffun end//// @@ -2725,69 +2781,141 @@ Inwindow(point,xrng,yrng):=( ); ////%Inwindow end//// -////%Windispg start//// -Windispg():=( - regional(Nj,Nk,Dt,Vj,tmp,tmp1,tmp2,opcindy); - if(ADDAXES=="1", //181215from - Drwxy(); -// ADDAXES="0"; - ); //181215to - 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=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); - ); +////%Dashlinedata start//// +Dashlinedata(dataorg,sen,gap,ptn):=( + regional(data,eps,dtall,len,lenlist,ii,lenall,kari, + naga,tobi,nsen,seglist,segunit,hajime,owari,jj, + flg,tt,ptL,out,tmp,tmp1,tmp2); + eps=10.0^(-6); + if(isstring(dataorg),data=parse(dataorg),data=dataorg); + dtall=length(data); + out=[]; + len=0; lenlist=[0]; + forall(2..dtall,ii, + len=len+|data_ii-data_(ii-1)|; + lenlist=append(lenlist,len); + ); + lenall=lenlist_dtall; + if(lenall>0, + kari=(sen+gap)*0.1;naga=sen*0.1;tobi=gap*0.1; + if(|data_1-data_dtall|<eps, + nsen=max([re(ceil(lenall/kari)),3]); + segunit=lenall/nsen; + naga=segunit*sen/(sen+gap); + tobi=segunit*gap/(sen+gap); + seglist=apply(0..(nsen-1),#*segunit); + , + if(ptn==0, + nsen=max([re(ceil((lenall+tobi)/kari)),3]); + segunit=lenall*(sen+gap)/(nsen*sen+(nsen-1)*gap); + naga=segunit*sen/(sen+gap); + tobi=segunit*gap/(sen+gap); + seglist=apply(0..(nsen-1),#*segunit); + , + nsen=max([re(ceil((lenall+naga)/kari)),3]); + segunit=lenall*(sen+gap)/((nsen-1)*sen+nsen*gap); + naga=segunit*sen/(sen+gap); + tobi=segunit*gap/(sen+gap); + seglist=apply(0..(nsen-2),tobi+#*segunit); + ); + ); + hajime=1;owari=1; + forall(1..(length(seglist)),ii, + len=seglist_ii; + flg=0; + forall(owari..dtall,jj, + if(flg==0, + if(len<lenlist_jj-eps, + flg=jj; + ); + ); + ); + if(flg>0,hajime=flg-1); + flg=0; + forall(hajime..dtall,jj, + if(flg==0, + if(len+naga<lenlist_jj-eps, + flg=jj; ); ); ); + if(flg>0,owari=flg-1); + tt=len-lenlist_hajime; + tt=tt/(lenlist_(hajime+1)-lenlist_hajime); + tmp=data_hajime+tt*(data_(hajime+1)-data_hajime); + ptL=[tmp]; + forall((hajime+1)..owari,jj, + ptL=append(ptL,data_jj); + ); + tt=(len+naga-lenlist_owari); + tt=tt/(lenlist_(owari+1)-lenlist_owari); + tmp=data_owari+tt*(data_(owari+1)-data_owari); + ptL=append(ptL,tmp); + out=append(out,ptL); ); ); - grestore(); - layer(0); + out; ); -Windispg(pltdata):=( - regional(pdata,Nj,Nk,Dt,tmp,tmp1,tmp2,opcindy); +////%Dashlinedata end//// + +////%Windispg start//// +Windispg():=( + if(ADDAXES=="1", //181215from + Drwxy(); + ADDAXES="0"; + ); //181215to + Windispg(GCLIST); //190125 +); +Windispg(gcLorg):=( //190125 + regional(gcL,Nj,Nk,Dt,Vj,tmp,tmp1,tmp2,tmp3,tmp4,opcindy); + gcL=gcLorg; //190125from + if(length(gcL)>0, + if(!islist(gcL_1),gcL=[gcL]); + ); //190125to gsave(); layer(KETPIClayer); - if(!islist(pltdata),tmp=[pltdata],tmp=pltdata); - pdata=select(GCLIST,contains(tmp,#_1)); - forall(pdata,Nj, + forall(gcL,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); + tmp=Nj_2; //190119from + if(!islist(tmp),tmp=[tmp,""]); //190123 + if(tmp_1<0,tmp1=0,tmp1=tmp_1); //190119from 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 + tmp3=""; + if(indexof(opcindy,"color")==0, //190122from + tmp3=tmp3+",linecolor->"+KCOLOR; + ); + tmp3=tmp3+opcindy; + if(tmp1==0, //190126from + if((length(tmp_2)>0)&(indexof(opcindy,"size")==0), + tmp3=tmp3+",size->"+tmp_2; + ); //190124to + tmp="connect("+Textformat(Nk,5)+tmp3+");";//190125 parse(tmp); + , + if(tmp1==1, + tmp4=Dashlinedata(Nk,2.5,2.5,0); + forall(tmp4, + tmp="connect("+Textformat(#,5)+tmp3+");"; + parse(tmp); + ); + , + tmp3=",dashtype->"+text(tmp1)+tmp3; + forall(1..(length(Nk)-1), + tmp="draw("+Textformat([Nk_#,Nk_(#+1)],5)+tmp3+");"; + parse(tmp); + ); + ); ); - ); + , + tmp="draw("+text(Nk_1)+opcindy+");"; // 14.12.31 + parse(tmp); + ); //190126to ); ); ); @@ -2830,7 +2958,7 @@ WritetoRS(filename,shchoice):=( 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+")"; + tmp=tmp+"Assignadd('"+#.name+"',"+#.name+")"; Plist=append(Plist,tmp); , println("Remove the abnormal poiint "+#.name); //181106 @@ -2850,26 +2978,26 @@ WritetoRS(filename,shchoice):=( println(SCEOUTPUT,""); ); if(iswindows(), - println(SCEOUTPUT,"options(encoding='UTF-8')"); //180513 + println(SCEOUTPUT,"options"+PaO()+"encoding='UTF-8')"); //190111 ); 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,"Drv=shell"+PaO()+"'echo %HOMEDRIVE%',intern=TRUE)"); //190111 + println(SCEOUTPUT,"Drv=Drv[length"+PaO()+"Drv)]"); + println(SCEOUTPUT,"Hpath=shell"+PaO()+"'echo %HOMEPATH%',intern=TRUE)"); + println(SCEOUTPUT,"Hpath=Hpath[length"+PaO()+"Hpath)]"); println(SCEOUTPUT,"Rest="+Dqq(tmp2)); - println(SCEOUTPUT,"Path=paste(Drv,Hpath,Rest,sep='')"); - println(SCEOUTPUT,"Path=gsub('\\','/',Path,fixed=TRUE)"); //180610 - println(SCEOUTPUT,"setwd(Path)"); + println(SCEOUTPUT,"Path=paste"+PaO()+"Drv,Hpath,Rest,sep='')"); + println(SCEOUTPUT,"Path=gsub"+PaO()+"'\\','/',Path,fixed=TRUE)"); //180610 + println(SCEOUTPUT,"setwd"+PaO()+"Path)"); , - println(SCEOUTPUT,"setwd('"+tmp1+"')"); + println(SCEOUTPUT,"setwd"+PaO()+"'"+tmp1+"')"); );//180409to tmp=replace(Libname,"\","/"); //17.09.24from - println(SCEOUTPUT,"source('"+tmp+".r')"); //181213 + println(SCEOUTPUT,"source"+PaO()+"'"+tmp+".r')"); //181213 if((indexof(PathT,"pdflatex")>0)%(indexof(PathT,"lualatex")>0), if(GPACK=="tpic",GPACK="pict2e"); ); @@ -2879,20 +3007,20 @@ WritetoRS(filename,shchoice):=( ); if(GPACK=="tikz", //181213from tmp=replace(tmp+"_reptikz","\","/"); - println(SCEOUTPUT,"source('"+tmp+".r')"); + println(SCEOUTPUT,"source"+PaO()+"'"+tmp+".r')"); ); //181213to - println(SCEOUTPUT,"Ketinit()"); - println(SCEOUTPUT,"cat(ThisVersion,'\n')"); + println(SCEOUTPUT,"Ketinit"+PPa("")); + println(SCEOUTPUT,"cat"+PaO()+"ThisVersion,'\n')"); println(SCEOUTPUT,"Fnametex='"+Fnametex+"'"); println(SCEOUTPUT,"FnameR='"+FnameR+"'"); println(SCEOUTPUT,"Fnameout='"+Fnameout+"'"); println(SCEOUTPUT,"arccos=acos; arcsin=asin; arctan=atan"); - println(SCEOUTPUT,"Acos<- function(x){acos(max(-1,min(1,x)))}"); - println(SCEOUTPUT,"Asin<- function(x){asin(max(-1,min(1,x)))}"); + println(SCEOUTPUT,"Acos<- function"+PPa("x")+"{acos"+PaO()+"max"+PaO()+"-1,min"+PaO()+"1,x)))}"); + println(SCEOUTPUT,"Asin<- function"+PPa("x")+"{asin"+PaO()+"max"+PaO()+"-1,min"+PaO()+"1,x)))}"); println(SCEOUTPUT,"Atan=atan"); - println(SCEOUTPUT,"Sqr<- function(x){if(x>=0){sqrt(x)}else{0}}"); + println(SCEOUTPUT,"Sqr<- function"+PPa("x")+"{if"+PaO()+"x>=0){sqrt"+PaO()+"x)}else{0}}"); println(SCEOUTPUT,"Factorial=factorial"); - println(SCEOUTPUT,"Norm<- function(x){norm(matrix(x,nrow=1),"+Dqq("2")+")}"); + println(SCEOUTPUT,"Norm<- function"+PPa("x")+"{norm"+PaO()+"matrix"+PaO()+"x,nrow=1),"+Dqq("2")+")}"); println(SCEOUTPUT,""); forall(COM0thlist, if(indexof(#,"Texcom")==0, //17.09.22 @@ -2902,7 +3030,7 @@ WritetoRS(filename,shchoice):=( ); ); println(SCEOUTPUT, - "Setwindow(c("+XMIN+","+XMAX+"), c("+YMIN+","+YMAX+"))"); + "Setwindow(c"+PaO()+XMIN+","+XMAX+"), c"+PaO()+YMIN+","+YMAX+"))"); forall(Plist, println(SCEOUTPUT,#); ); @@ -2914,7 +3042,7 @@ WritetoRS(filename,shchoice):=( if(islist(tmp1), tmp2="["; forall(tmp1, - tmp2=tmp2+textformat(#,6)+","; + tmp2=tmp2+Textformat(#,6)+","; ); tmp1=substring(tmp2,0,length(tmp2)-1)+"]"; , @@ -2924,27 +3052,27 @@ WritetoRS(filename,shchoice):=( tmp1=RSform(tmp1); print(SCEOUTPUT,tmp+"="+tmp1+";"); //17.09.22 // tmp=substring(tmp,0,length(tmp)-1); - println(SCEOUTPUT,"Assignadd('"+tmp+"',"+tmp+")"); + println(SCEOUTPUT,"Assignadd"+PaO()+"'"+tmp+"',"+tmp+")"); ); forall(FUNLIST, println(SCEOUTPUT,#); ); - forall(GLIST, + forall(GLIST, //no ketjs on println(SCEOUTPUT,RSform(#)); - ); + ); //no ketjs off tmp=text(Pnamelist); - tmp=replace(tmp,"[","list("); + tmp=replace(tmp,"[","list"+PaO()); 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,"[","list"+PaO()); tmp=replace(tmp,"]",")"); println(SCEOUTPUT,"GrL="+tmp); tmp1=""; if(length(tmp1)>0, - tmp1="WriteOutData(Fnameout"+tmp1+");"; + tmp1="WriteOutData"+PaO()+"Fnameout"+tmp1+");"; println(SCEOUTPUT,tmp1); ); forall(COM1stlist, @@ -2955,13 +3083,13 @@ WritetoRS(filename,shchoice):=( ); ); println(SCEOUTPUT,""); - println(SCEOUTPUT,"# Windisp(GrL)"); + println(SCEOUTPUT,"# Windisp"+PPa("GrL")); println(SCEOUTPUT,""); - println(SCEOUTPUT,"if(1==1){"); + println(SCEOUTPUT,"if"+PaO()+"1==1){"); println(SCEOUTPUT,""); tmp1=replace(Dirwork,"\","/"); //180408to if((iswindows())&(indexof(tmp1,"Users")>0), - println(SCEOUTPUT,"Path=paste(Path,"+Dqq("/"+Fnametex)+",sep='')"); + println(SCEOUTPUT,"Path=paste"+PaO()+"Path,"+Dqq("/"+Fnametex)+",sep='')"); tmp="Openfile(Path,'"+ULEN+"'"; , tmp="Openfile('"+tmp1+"/"+Fnametex+"','"+ULEN+"'"; @@ -2999,18 +3127,18 @@ WritetoRS(filename,shchoice):=( ); //180721to ); if(length(GrL)>0, - println(SCEOUTPUT," Drwline(GrL)"); + println(SCEOUTPUT," Drwline"+PPa("GrL")); ); - // println(SCEOUTPUT,"Closefile('"+ADDAXES+"')"); //181224(2line) - println(SCEOUTPUT,"Closefile("+Dqq("0")+")"); + // println(SCEOUTPUT,"Closefile"+PaO()+"'"+ADDAXES+"')"); //181224(2line) + println(SCEOUTPUT,"Closefile"+PaO()+""+Dqq("0")+")"); println(SCEOUTPUT,""); println(SCEOUTPUT,"}"); if(shchoice=="sh", println(SCEOUTPUT,""); - println(SCEOUTPUT,"quit()"); + println(SCEOUTPUT,"quit"+PPa("")); , println(SCEOUTPUT,""); - println(SCEOUTPUT,"#quit()"); + println(SCEOUTPUT,"#quit"+PPa("")); ); closefile(SCEOUTPUT); if(iswindows(), //180513from @@ -3020,14 +3148,14 @@ WritetoRS(filename,shchoice):=( 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,"Drv=shell"+PaO()+"'echo %HOMEDRIVE%',intern=TRUE)"); + println(SCEOUTPUT,"Drv=Drv[length"+PaO()+"Drv)]"); + println(SCEOUTPUT,"Hpath=shell"+PaO()+"'echo %HOMEPATH%',intern=TRUE)"); + println(SCEOUTPUT,"Hpath=Hpath[length"+PaO()+"Hpath)]"); println(SCEOUTPUT,"Rest="+Dqq(tmp2)); - println(SCEOUTPUT,"Path=paste(Drv,Hpath,Rest,sep='')"); - println(SCEOUTPUT,"setwd(Path)"); - println(SCEOUTPUT,"source('"+filename+"',encoding='UTF-8')"); + println(SCEOUTPUT,"Path=paste"+PaO()+"Drv,Hpath,Rest,sep='')"); + println(SCEOUTPUT,"setwd"+PaO()+"Path)"); + println(SCEOUTPUT,"source"+PaO()+"'"+filename+"',encoding='UTF-8')"); ); closefile(SCEOUTPUT); ); //180513to @@ -3071,21 +3199,21 @@ Extractdata(number,name,options):=( if(Noflg<3, println("extract outdata "+name); tmp1=parse(name); - tmp3=[ //17.09.18 - "Tmpout=ReadOutData("+Dq+File+Dq+")" + tmp3=[ //17.09.18 //no ketjs on + "Tmpout=ReadOutData("+Dq+File+Dq+")" ]; - GLIST=concat(GLIST,tmp3); + GLIST=concat(GLIST,tmp3); //no ketjs off ); if(Noflg<2, if(isstring(Ltype), - if((Noflg==0)&(color!=KCOLOR), //180904 + if((Noflg==0)&(color!=KCOLOR), //180904 //no ketjs on Texcom("{");Com2nd("Setcolor("+color+")");//180722 - ); - Ltype=GetLinestyle(text(Noflg)+Ltype,name); - if((Noflg==0)&(color!=KCOLOR), //180904 + ); //no ketjs off + Ltype=GetLinestyle(text(Noflg)+Ltype,name); + if((Noflg==0)&(color!=KCOLOR), //180904 //no ketjs on Texcom("}");//180722 - ); - , + ); //no ketjs off + , if(Noflg==1,Ltype=0); ); GCLIST=append(GCLIST,[name,Ltype,opcindy]); @@ -3175,11 +3303,11 @@ ReadOutData(pathorg,filenameorg,optionsorg):=( if(length(ptL)>0, if(length(ptL)==1, ptL=ptL_1; - tmp=apply(ptL,textformat(#,6)); + tmp=apply(ptL,Textformat(#,6)); , tmp="["; forall(ptL,tmp1, - tmp=tmp+apply(tmp1,textformat(#,6))+","; + tmp=tmp+apply(tmp1,Textformat(#,6))+","; ); tmp=substring(tmp,0,length(tmp)-1)+"]"; ); @@ -3189,7 +3317,7 @@ ReadOutData(pathorg,filenameorg,optionsorg):=( parse(varname+"="+tmp); outdt=append(outdt,ptL); ptL=[]; - varname=cmd; + varname=cmd; varL=append(varL,varname); ); ); @@ -3197,11 +3325,11 @@ ReadOutData(pathorg,filenameorg,optionsorg):=( if(length(ptL)>0, if(length(ptL)==1, ptL=ptL_1; - tmp=apply(ptL,textformat(#,6)); + tmp=apply(ptL,Textformat(#,6)); , tmp="["; forall(ptL,tmp1, - tmp=tmp+apply(tmp1,textformat(#,6))+","; + tmp=tmp+apply(tmp1,Textformat(#,6))+","; ); tmp=substring(tmp,0,length(tmp)-1)+"]"; ); @@ -3344,7 +3472,7 @@ Makeshell(texmainfile,flow):=( ); ); ); - if(flg==0, // 17.10.13(Norbert) + if(flg==0, // 17.10.13[Norbert] tex=PathT; path=""; ); @@ -3511,7 +3639,7 @@ Makebat(texmainfile,flow):=( ); ); ); - if(flg==0, // 17.10.13(Norbert) + if(flg==0, // 17.10.13[Norbert] tex=PathT; path=""; ); @@ -3597,7 +3725,7 @@ Usegraphics(gpack):=( //180817 //help:Usegraphics("pict2e"); if(!contains(ADDPACK,gpack), if(gpack =="tikz", //181213from - Addpackage(["pgf","tikz"]); + Addpackage(["pgf","tikz"]); //190101 , Addpackage([gpack]); ); //181213to @@ -3615,11 +3743,15 @@ Viewtex():=( 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 + if(GPACK=="tikz", + tmp="\documentclass[dvipdfmx]{article}"; // 190101 + , + tmp=replace(tmp,"article","jarticle"); + if(indexof(PathT,"uplatex")>0, //17.08.13from + tmp=replace(tmp,"jarticle","ujarticle"); + );//17.08.13to + ); + ); // 16.06.09to println(SCEOUTPUT,tmp); if((indexof(PathT,"pdflatex")>0)%(indexof(PathT,"lualatex")>0), //181213from if(GPACK=="tpic", GPACK="pict2e"); @@ -3636,7 +3768,7 @@ Viewtex():=( ); ); if(GPACK=="tikz", - println(SCEOUTPUT,"\usepackage[pgf,tikz}");//16.11.24 +// println(SCEOUTPUT,"\usepackage{pgf,tikz}");//190101 println(SCEOUTPUT,"\usepackage{ketpic,ketlayer}"); if(indexof(PathT,"lualatex")>0, println(SCEOUTPUT,"\usepackage{luatexja}"); @@ -3930,7 +4062,7 @@ Makehelplist(libname):=( flg=0; forall(1..3, if(flg==0, - if(substring(cmdall_#,0,7)=="start()", + if(substring(cmdall_#,0,7)=="start"+PPa(""), cmdall=cmdall_((#+1)..length(cmdall)); flg=1; ); @@ -3940,7 +4072,7 @@ Makehelplist(libname):=( tmp=length(cmdall); forall(0..2, if(flg==0, - if(substring(cmdall_(tmp-#),0,5)=="end()", + if(substring(cmdall_(tmp-#),0,5)=="end"+PPa(""), cmdall=cmdall_(1..(tmp-#-1)); flg=1; ); @@ -4467,11 +4599,11 @@ Maketitle(name):=( println(SCEOUTPUT,"title::"+name+"//"); println(SCEOUTPUT,""); println(SCEOUTPUT,"%%%%%%%%%%%%%%%%//"); - println(SCEOUTPUT,"main::(title)//"); + println(SCEOUTPUT,"main::"+PaO()+"title)//"); println(SCEOUTPUT,"\slidepage[m]//"); println(SCEOUTPUT,""); println(SCEOUTPUT,"%%%%%%%%%%%%%%%%//"); - println(SCEOUTPUT,"new::(title)//"); + println(SCEOUTPUT,"new::"+PaO()+"title)//"); println(SCEOUTPUT,"%repeat=1,para//"); println(SCEOUTPUT,"\slidepage//"); println(SCEOUTPUT,""); @@ -4504,7 +4636,7 @@ Repeatsameslide(repeatflg,sestr,addedL):=( if(sestr=="", RepeatList_nn=append(RepeatList_nn,ss); ); - ); + ); if(sestr=="", seL=[1]; , @@ -4513,7 +4645,7 @@ Repeatsameslide(repeatflg,sestr,addedL):=( 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); @@ -4548,7 +4680,7 @@ Repeatsameslide(repeatflg,sestr,addedL):=( if(substring(str,0,1)!="%", if(NonThinFlg==0, if(!contains(["\begi","\end{"],substring(str,0,5)),//17.01.15 - if(MiniFlg==0, //180526from + if(MiniFlg==0, //180526from println(SCEOUTPUT,"{\color[cmyk]{\thin,\thin,\thin,\thin}%");//180701 println(SCEOUTPUT,str); println(SCEOUTPUT,"}%"); @@ -4598,7 +4730,7 @@ Repeatsameslide(repeatflg,sestr,addedL):=( tmp=seL_nn; if(NonThinFlg==0, if(!contains(["\begi","\end{"],substring(str,0,5)),//180526from - if(MiniFlg==0, + if(MiniFlg==0, tmp1="{\color[cmyk]{\thin,\thin,\thin,\thin}%";//180701 tmp1=[tmp1,str,"}%"]; , @@ -4671,9 +4803,9 @@ Presentation(texfile,txtfile):=( // tmp=load(tmp1); //181125from tmp=readfile2str(Dirwork,tmp1); tmp=replace(tmp,"////","||||"); - tmp=replace(tmp,"/LF/::","::"); - tmp=replace(tmp,"///LF/","/LF/"); - slideL=tokenize(tmp,"/LF/"); //181125to + tmp=replace(tmp,"/L"+"F/::","::"); + tmp=replace(tmp,"///L"+"F/","/L"+"F/"); + slideL=tokenize(tmp,"/L"+"F/"); //181125to slideorgL=slideL; // 16.07.11 slideL=apply(slideL,Removespace(#)); tmp=select(1..length(slideL),length(slideL_#)>0); // 16.07.11from @@ -4891,7 +5023,7 @@ Presentation(texfile,txtfile):=( tmp1=""; tmp2=""; tmp3=""; - sld=removespace(slideL_ns); // 16.06.28 + sld=Removespace(slideL_ns); // 16.06.28 sestr=""; if((substring(sld,0,1)=="%") & (substring(sld,0,2)!="%%"), // 17.06.23 Repeatsameslide(repeatflg,"",[slideL_ns]); @@ -5034,7 +5166,7 @@ Presentation(texfile,txtfile):=( +text(2.5*LinkSize)+"mm}{\scalebox{"+text(LinkSize) +"}{\scriptsize $\mathstrut \!\rhd\!\!|$}}}}}"); ); - tmp="{"+text(LinkPosV)+"}{\hyperlink{para"; //180529(2lines) + tmp="{"+text(LinkPosV)+"}{\hyperlink{para"; //180529[2lines] tmp=tmp+text(paractr+1)+"pg"+text(1); tmp3=append(tmp3, text(LinkPosH)+"}"+tmp+"}{\fbox{\Ctab{" // 17.01.19 @@ -5044,7 +5176,7 @@ Presentation(texfile,txtfile):=( tmp3=apply(tmp3,tmp,"\putnotew{"+tmp); tmp4=concat(tmp4,tmp3);// 17.01.12to tmp="\putnotee{"+text(LinkPosH+1)+"}{"+text(LinkPosV)+"}";//180524 - tmp=tmp+"{\scriptsize\color{blue} "+text(#)+"/"+text(nrep)+"}"; //180524(blue) + tmp=tmp+"{\scriptsize\color{blue} "+text(#)+"/"+text(nrep)+"}"; //180524[blue] tmp4=append(tmp4,tmp); tmp4=concat(tmp4,["\end{layer}",""]);//16.12.31until Repeatsameslide(repeatflg,text([#]),tmp4); @@ -5056,7 +5188,7 @@ Presentation(texfile,txtfile):=( flg=1; ); //17.06.23to if(flg==0, - if(indexof(sld,"\begin{verbatim}")==1, // 16.06.28from + if(indexof(sld,"\begin{verbatim}")==1, // 16.06.28from Repeatsameslide(repeatflg,sestr,[slideL_ns]); verbflg=1; flg=1; @@ -5245,7 +5377,7 @@ Presentation(texfile,txtfile):=( ); if(flg==0&tmp1=="end"&(length(flgL)>0), //180526 tmp=flgL_(length(flgL)); - if(tmp=="i", + if(tmp=="i", Repeatsameslide(repeatflg,sestr,["\end{itemize}"]); ); if(tmp=="e", @@ -5329,7 +5461,7 @@ Mkslides():=( Dirwork=replace(Dirwork,"/",pathsep()); parent=replace(Dirwork+Batparent,"/",pathsep());// 16.05.29 ); - tmp=replace(Dirwork,pathsep()+"fig","");//180604(2lines) + tmp=replace(Dirwork,pathsep()+"fig","");//180604[2lines] Changework(tmp); Setdirectory(Dirwork); if(!iswindows(), //180604from @@ -5411,32 +5543,32 @@ Mkslidesummary(inputfile,outputfile,options):=( fout=outputfile; if(indexof(fout,".")==0,fout=fout+".tex"); cmdL=[ - "Dt=readLines('"+fin+"',encoding='UTF-8')",[], - "num=grep('hypertarget',Dt,fixed=TRUE)",[], //180412 - "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))",[], //180412 - " if(Tmp>0){Smain=c(Smain,1)}else{Smain=c(Smain,0)}",[], - " Tmp=length(grep('newslide{',Dt[J],fixed=TRUE))",[], //180412 - " if(Tmp>0){Snew=c(Snew,1)}else{Snew=c(Snew,0)}",[], - " Tmp=length(grep('sameslide',Dt[J],fixed=TRUE))",[], //180412 - " if(Tmp>0){Ssame=c(Ssame,1)}else{Ssame=c(Ssame,0)}",[], + "Dt=readLines"+PaO()+"'"+fin+"',encoding='UTF-8')",[], + "num=grep"+PaO()+"'hypertarget',Dt,fixed=TRUE)",[], //180412 + "Dt=Dt[setdiff"+PaO()+"1:length"+PaO()+"Dt),num)]",[], + "Smain=c"+PPa("")+";Snew=c"+PPa("")+";Ssame=c"+PPa(""),[], + "for"+PaO()+"J in 1:length"+PaO()+"Dt)){",[], + " Tmp=length"+PaO()+"grep"+PaO()+"'mainslide{',Dt[J],fixed=TRUE))",[], //180412 + " if"+PaO()+"Tmp>0){Smain=c"+PaO()+"Smain,1)}else{Smain=c"+PaO()+"Smain,0)}",[], + " Tmp=length"+PaO()+"grep"+PaO()+"'newslide{',Dt[J],fixed=TRUE))",[], //180412 + " if"+PaO()+"Tmp>0){Snew=c"+PaO()+"Snew,1)}else{Snew=c"+PaO()+"Snew,0)}",[], + " Tmp=length"+PaO()+"grep"+PaO()+"'sameslide',Dt[J],fixed=TRUE))",[], //180412 + " if"+PaO()+"Tmp>0){Ssame=c"+PaO()+"Ssame,1)}else{Ssame=c"+PaO()+"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)}",[], + "Nnew=c"+PPa("")+";Nsame=c"+PPa(""),[], + "for"+PaO()+"J in 1:length"+PaO()+"Dt)){",[], + " if"+PaO(2)+"Snew[J]==1)|"+PaO()+"Smain[J]==1)){Nnew=c"+PaO()+"Nnew,J)}",[], + " if"+PaO()+"Ssame[J]==1){Nsame=c"+PaO()+"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]])",[], + "for"+PaO()+"J in Looprange"+PaO()+"2,length"+PaO()+"Nnew))){",[], + " Tmp=max"+PaO()+"c"+PaO()+"1,Nsame[Nsame<Nnew[J]]))",[], + " Tmp=max"+PaO()+"c"+PaO()+"Tmp,Nnew[J-1]))+1",[], + " Out=c"+PaO()+"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')",[] //180412(2lines removed) + "Tmp=max"+PaO()+"c"+PaO()+"Nsame[-1],Nnew[-1]))+1",[], + "Out=c"+PaO()+"Out,Dt[Tmp:length"+PaO()+"Dt)])",[], + "writeLines"+PaO()+"Out,'"+fout+"',sep='\n')",[] //180412[2lines removed] ]; CalcbyR("",cmdL,append(options,"Cat=n"));//180412 wait(1000); @@ -5482,8 +5614,8 @@ Example(exorg,suborg):=( ////%Example end//// ////%BBdata start//// -BBdata():=Bbdata(BBTarget,0); -BBdata(fname):=Bbdata(fname,0); // 16.04.09 +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="); @@ -5506,7 +5638,7 @@ BBdata(fname,optionorg):=( if(path=="",path=Dirwork);//16.10.05 if(indexof(file,".")==0,file=file+".pdf"); if(islist(optionorg),options=optionorg,options=[optionorg]); - tmp=divoptions(options); + tmp=Divoptions(options); eqL=tmp_5; reL=tmp_6; stL=tmp_7; @@ -5612,13 +5744,13 @@ BBdata(fname,optionorg):=( tmp=tmp_2; // tmp1=indexof(tmp,":"); tmp=substring(tmp,tmp1,length(tmp)); - tmp=removespace(tmp); + tmp=Removespace(tmp); tmp=tokenize(tmp," "); tmp1=""; forall(tmp, tmp1=tmp1+Sprintf(#,2)+" "; ); - tmp1=removespace(tmp1)+addop; + tmp1=Removespace(tmp1)+addop; tmp2="\includegraphics[bb="+tmp1+"]{"+file+"}"; println(tmp2); ); @@ -5628,5 +5760,528 @@ BBdata(fname,optionorg):=( ); ////%BBdata end//// +////%Findfun start//// +Findfun(name,lineorg):=( + regional(line,sep,pL,jj,kk,flg,rmv,out,tmp,tmp1,tmp2); + line=Removespace(lineorg); + rmv=[name,"regional","forall","if","text","curkernel","append","concat"]; + rmv=concat(rmv,["append","apply","allelements","indexof"]); + rmv=concat(rmv,["substring","select","isstring","length"]); + rmv=concat(rmv,["round","unicode","openfile","closefile","println","replace"]); + rmv=concat(rmv,["setdirectory","parse","tokenize","import","load","ispoint"]); + rmv=concat(rmv,["isreal","layer","autoclearlayer","drawpoly","allcircles"]); + rmv=concat(rmv,["floor","flatten","prepend","islist","print","mod","abs","sum"]); + rmv=concat(rmv,["cos","sin","tan","arccos","arcsin","arctan","sqrt","reverse","re"]); + rmv=concat(rmv,["sort","contains","max","min","allpoints","isselected","common"]); + rmv=concat(rmv,["inspect","iscircle","alllines","repeat","remove","format"]); + rmv=concat(rmv,["ceil","while","dist","det","exp","err","arctan2","fillpoly"]); + rmv=concat(rmv,["drawtext","mouse","allsegments","createpoint","create"]); + rmv=concat(rmv,["gsave","connect","draw","grestore","wait"]); + +// rmv=concat(rmv,["d","list","c","funN","funP","function","for","return"]); // in string (for R) +// rmv=concat(rmv,["gsub","cat"]); // in string (for R) +// rmv=concat(rmv,["options"]); // written for Windows +// rmv=concat(rmv,["isexists"]); // java functions + + sep=[""," ",",","=","(","+","-","*","/","^","_","[",".","!","&","%",Dq,";",">","<",unicode("0009")]; + out=[]; + if(substring(line,0,2)!="//", + pL=Indexall(line,"("); + forall(pL,jj, + flg=0; + if(contains(pL,jj-1), flg=1); + forall(reverse(1..(jj-1)), + if(flg==0, + if(#==1, + tmp=substring(line,0,1); + if(contains(sep,tmp), + tmp=substring(line,1,jj-1); + , + tmp=substring(line,0,jj-1); + ); + flg=1; + ); + ); + if(flg==0, + tmp=substring(line,#-1,#); + if(contains(sep,tmp), + tmp=substring(line,#,jj-1); + if(indexof(substring(line,0,#-1),"//")==0, + flg=1; + ); + ); + ); + ); + if((flg==1)&(length(tmp)>0), + out=append(out,tmp); + ); + ); + ); + out=remove(out,rmv); + tmp=out; + out=[]; + forall(tmp, + if(!contains(out,#),out=append(out,#)); + ); + out; +); +////%Findfun end//// + +////%Extractfun start//// +Extractfun(strL):=( + regional(nL,str,str2,start,sep,out,tmp,tmp1,tmp2); + out=[]; + forall(strL,str, + nL=Indexall(str,Dq); + str2=""; + start=0; + forall(1..(length(nL)/2), + tmp1=nL_(2*#-1); + str2=str2+substring(str,start,tmp1-1); + start=nL_(2*#); + ); + str2=str2+substring(str,start,length(str)); + fL=Findfun("csdraw",str2); + out=remove(out,fL); + out=concat(out,fL); + ); +); +////%Extractfun end//// + +//DL1=Readcsv(Dirhead+pathsep()+"ketcindyjs","basic1list.txt"); +//DL2=Readcsv(Dirhead+pathsep()+"ketcindyjs","basic2list.txt"); +//DL=concat(DL1,DL2); +//Out=[]; + +////%Extractall start//// +Extractall(name):=( + regional(fL,jj,tmp,tmp1,tmp2,tmp3); + fL=apply(Out,#_1); + tmp1=select(DL,#_1==name); + if(length(tmp1)>0, + tmp1=tmp1_1; + if(!contains(fL,tmp1), + Out=append(Out,tmp1); + fL=append(fL,tmp1_1); + if(length(tmp1)>=5, + forall(5..(length(tmp1)),jj, + tmp=tmp1_jj; + if(!contains(fL,tmp), + Extractall(tmp); + ); + ); + ); + ); + ); + tmp1=Out; + Out=[]; + forall(1..(length(tmp1)), + if(!contains(Out,tmp1_#), + Out=append(Out,tmp1_#); + ); + ); + Out; +); +////%Extractall end//// + +////%Copyketcindyjs start//// 190128 +Copyketcindyjs():=( + regional(tmp,tmp1,tmp2,drive,fname); + if(iswindows(), + drive="C:"; + fname=Dirhead; + tmp=indexof(fname,":"); + if(tmp>0, + drive=substring(Dirwork,0,tmp); + fname=substring(fname,tmp,length(fname)); + ); + kc():=( + println("kc : "+kc(Dirwork+Batparent,Dirlib,Fnametex)); // 16.06.04 + ); + SCEOUTPUT = openfile(Batparent); + println(SCEOUTPUT,drive); + println(SCEOUTPUT,"cd "+Dqq(fname)); + println(SCEOUTPUT,"set xcp="+Dqq("\Windows\System32\xcopy")); + tmp1=Dqq("%xcp%")+" /Y /Q /S /E /R "+Dqq("ketcindyjs\"); + tmp2=" "+Dqq(Dircdy+"ketcindyjs\"); + println(SCEOUTPUT,tmp1+"Cindy.js.map"+tmp2); + println(SCEOUTPUT,tmp1+"webfont.js"+tmp2); + println(SCEOUTPUT,tmp1+"katex-plugin.js"+tmp2); + println(SCEOUTPUT,tmp1+"Cindy.js"+tmp2); + println(SCEOUTPUT,tmp1+"CindyJS.css"+tmp2); + tmp1=Dqq("%xcp%")+" /Y /Q /S /E /R "+Dqq("ketcindyjs\katex\"); + tmp2=" "+Dqq(Dircdy+"ketcindyjs\katex\"); + println(SCEOUTPUT,tmp1+"katex.min.css"+tmp2); + println(SCEOUTPUT,tmp1+"katex.min.js"+tmp2); + tmp1=Dqq("%xcp%")+" /Y /Q /S /E /R "+Dqq("ketcindyjs\katex\fonts\"); + tmp2=" "+Dqq(Dircdy+"ketcindyjs\katex\fonts\"); + println(SCEOUTPUT,tmp1+"KaTeX_Main-Regular.ttf"+tmp2); + println(SCEOUTPUT,tmp1+"KaTeX_Main-Regular.woff"+tmp2); + println(SCEOUTPUT,tmp1+"KaTeX_Main-Regular.woff2"+tmp2); + println(SCEOUTPUT,tmp1+"KaTeX_Math-Italic.ttf"+tmp2); + println(SCEOUTPUT,tmp1+"KaTeX_Math-Italic.woff"+tmp2); + println(SCEOUTPUT,tmp1+"KaTeX_Math-Italic.woff2"+tmp2); + println(SCEOUTPUT,"exit 0"); + closefile(SCEOUTPUT); + , + kc():=( + println("kc : "+kc(Dirwork+Shellparent,Mackc+Dirlib,Fnametex)); + ); + SCEOUTPUT = openfile(Shellparent); + println(SCEOUTPUT,"#!/bin/sh"); + println(SCEOUTPUT,"cd "+Dqq(Dirhead)); + println(SCEOUTPUT,"cp -r -p ketcindyjs "+Dircdy+"/"); + println(SCEOUTPUT,"exit 0"); + closefile(SCEOUTPUT); + ); + kc(); +); +////%Coptketcindyjs end//// + +////%Ketjsoption start//// 190201 +Ketjsoption():=Setketcindyjs(); +Ketjsoption(list):=Setketcindyjs(list); +////%Ketjsoption end//// + +////%Setketcindyjs start//// 190201 +Setketcindyjs():=( + KETJSOP; +); +Setketcindyjs(list):=( +//help:Setketcindyjs(); +//help:Setketcindyjs(["Local=(n)","Scale=(1)","Nolabel=[]"]); + regional(eqL,color,tmp); + tmp=Divoptions(list); + eqL=tmp_5; + tmp=tmp_(length(tmp)); + tmp=substring(tmp,1,length(tmp)); + tmp=replace(tmp,"->","="); + parse(tmp); + tmp=round(255*color); + if(color!=[0,0,0],eqL=append(eqL,"Color="+text(tmp))); + KETJSOP=eqL; + KETJSOP; +); +////%Setketcindyjs end//// + +////%Mkketcindyjs start//// 190115 +Mkketcindyjs():=Mkketcindyjs(KETJSOP); //190129 +Mkketcindyjs(options):=( //17.11.18 +//help:Mkketcindyjs(); +//help:Mkketcindyjs(options=["Local=(n)","Scale=(1)","Nolabel=[]","Color=","Grid="]); +//help:Mkketcindyjs(optionsadd=["Web=(y)","Path=Dircdy"]); + regional(webflg,localflg,htm,htmorg,from,upto,flg,fL,fun,jj,tmp,tmp1,tmp2,tmp3, + lib1,lib2,jc,nn,name,partL,toppart,lastpart,path,ketflg,flg,cmdL,scale,nolabel, + color,grid,out,igL,DL,Out); + webflg="Y"; //190128 texflg removed + localflg="N"; //190128 + scale=1; //190129 + nolabel=["SW","NE"]; //190129 + color=""; + grid=""; + path=Dircdy; + forall(options, + tmp=Strsplit(#,"="); + tmp1=Toupper(substring(tmp_1,0,1)); + tmp2=tmp_2; + if(tmp1=="W", + webflg=Toupper(substring(tmp2,0,1)); + ); + if(tmp1=="L", + localflg=Toupper(substring(tmp2,0,1)); + ); + if(tmp1=="S", + scale=parse(tmp2); + ); + if(tmp1=="N", + tmp=tmp2; + if(indexof(tmp2,"[")>0, + tmp=substring(tmp2,1,length(tmp2)-1); + ); + tmp=tokenize(tmp,","); + nolabel=concat(nolabe,tmp); + ); + if(tmp1=="C", + color=tmp2; + if(substring(color,0,1)=="[", //190130from + color=substring(color,1,length(color)-1); + ); //190130to + ); + if(tmp1=="G", + grid=tmp2; + ); + if(tmp1=="P", + if(!tmp2="Dircdy", + path=tmp2; + ); + ); + ); + if((webflg=="N")&(localflg=="Y"), + if(!isexists(Dircdy,"ketcindyjs"), + Copyketcindyjs(); + println("ketcindyjs has been copied"); + ); + ); + if(!isexists(Dircdy,Fhead+".html"), + drawtext(mouse().xy-[0,1],"'Write/Rewrite to CindyJS' at first",size->24,color->[1,0,0]); + wait(3000); + , + htmorg=Readlines(Dircdy,Fhead+".html"); + tmp=select(1..(length(htmorg)),indexof(htmorg_#,"id="+Dqq("csdraw"))>0); + from=tmp_1+1; + flg=0; + forall(from..(length(htmorg)), + if(flg==0, + if(indexof(htmorg_#,"</script>")>0, + upto=#-1; + flg=1; + ); + ); + ); + fL=Extractfun(htmorg_(from..upto)); + DL=Readcsv(Dirhead+pathsep()+"ketcindyjs","basic1list.txt"); + tmp=Readcsv(Dirhead+pathsep()+"ketcindyjs","basic2list.txt"); + DL=concat(DL,tmp); //DL and Out arenecessary for Extractall + Out=[]; + forall(fL,fun, + Extractall(fun); + ); + tmp=Readlines(Dirhead+pathsep()+"ketcindyjs","ignoredfun.txt"); + tmp=apply(tmp,Removespace(#)); //190131 + igL=select(tmp,(length(#)>0)&(substring(#,0,2)!="//")); //190131 + tmp1=select(Out,contains(igL,#_1)); + Out=remove(Out,tmp1); USEDFUN=apply(Out,#_1); //190130 + tmp1=select(1..(length(htmorg)),indexof(htmorg_#,"script id=")>0); + partL=[]; + forall(tmp1,nn, + from=nn; + tmp2=htmorg_from; + tmp=Indexall(tmp2,Dq); + name=substring(tmp2,tmp_1,tmp_2-1); + tmp=select((from+1)..(length(htmorg)),indexof(htmorg_#,"</script>")>0); + upto=tmp_1; + partL=append(partL,[name,from,upto]); + ); + tmp=apply(partL,#_2); + tmp=min(tmp)-1; + toppart=[1,tmp]; + tmp=apply(partL,#_3); + tmp=max(tmp)+1; + lastpart=[tmp,length(htmorg)]; + if(webflg=="Y", + tmp1=Fhead+"json.html"; + , + tmp1=Fhead+"jsoff.html"; + ); + setdirectory(path); + SCEOUTPUT = openfile(tmp1); + tmp1=htmorg_((toppart_1)..(toppart_2)); + if(webflg=="N", + if(localflg=="N", //190128 + tmp3=replace(Dirhead+"/ketcindyjs/",pathsep(),"/"); + tmp= " <link rel="+Dqq("stylesheet")+" href="; + tmp=tmp+Dq+"file:///"+tmp3+"CindyJS.css"+Dq+">"; + tmp1_(length(tmp1)-2)=tmp; + tmp= " <script type="+Dqq("text/javascript")+" src="; + tmp=tmp+Dq+"file:///"+tmp3+"Cindy.js"+Dq+"></script>"; + tmp1_(length(tmp1)-1)=tmp; + tmp=" <script type="+Dqq("text/javascript")+" src="; //190117from + tmp1_(length(tmp1))=""; //190120 + , + tmp1_(length(tmp1)-2)= //190128from + " <link rel="+Dqq("stylesheet")+" href="+Dqq("ketcindyjs/CindyJS.css")+">"; //190203 + tmp1_(length(tmp1)-1)= + " <script type="+Dqq("text/javascript")+" src="+Dqq("ketcindyjs/Cindy.js")+"></script>"; //190203 + tmp1_(length(tmp1))=""; //190128to + ); + , + tmp1_(length(tmp1))=""; //190117to + ); + forall(tmp1, + println(SCEOUTPUT,#); + ); + tmp="<script id="+Dqq("csinit")+" type="; + tmp=tmp+Dqq("text/x-cindyscript")+">"; + println(SCEOUTPUT,tmp); + tmp=Readlines(Dirhead+pathsep()+"ketcindyjs","commonused.txt"); + forall(tmp, + println(SCEOUTPUT,#); + ); + lib1=Readlines(Dirhead+"/ketlib","ketcindylibbasic1r.cs"); + lib2=Readlines(Dirhead+"/ketlib","ketcindylibbasic2r.cs"); + forall(Out,fun, + libf=fun_2;from=fun_3;upto=fun_4; + if(indexof(libf,"basic1")>0, + tmp1=lib1_(from..upto); + , + tmp1=lib2_(from..upto); + ); + ketflg="off"; //190122from + forall(tmp1, + if(indexof(#,"no ketjs")>0, + if(indexof(#,"no ketjs on")>0, + ketflg="on"; + ); + if(indexof(#,"no ketjs off")>0, + ketflg="off"; + ); + , + if(ketflg=="off", + tmp=Removespace(#); + if(substring(tmp,0,2)!="//", + println(SCEOUTPUT,#); + ); + ); //190122to + ); + ); + ); + tmp=select(partL,#_1=="csinit"); + if(length(tmp)>0, + tmp=tmp_1; + from=tmp_2; + upto=tmp_3; + tmp1=htmorg_((from+1)..(upto-1)); //190119 + forall(tmp1, + if((indexof(#,"import(")==0)&(indexof(#,"use(")==0), + println(SCEOUTPUT,#); + ); + ); + ); + println(SCEOUTPUT,"</script>"); + tmp=select(partL,#_1=="csdraw"); + tmp=tmp_1; + from=tmp_2; + upto=tmp_3; + tmp1=htmorg_(from..upto); + ketflg="off"; //190202from + forall(tmp1, + if(indexof(#,"no ketjs")>0, + if(indexof(#,"no ketjs on")>0, + ketflg="on"; + ); + if(indexof(#,"no ketjs off")>0, + ketflg="off"; + ); + , + if(ketflg=="off", + tmp=Removespace(#); + if(substring(tmp,0,2)!="//", + println(SCEOUTPUT,#); + ); + ); + ); + ); + tmp1=htmorg_((lastpart_1)..(lastpart_2)); + tmp=select(1..(length(tmp1)),indexof(tmp1_#,Dqq("cs*"))>0); + tmp=tmp_1; + forall(1..tmp, //190117from + println(SCEOUTPUT,tmp1_#); + ); + from=tmp+1; //190117to + tmp=" use: ["+Dqq("katex")+"],"; + println(SCEOUTPUT,tmp); + out=[]; //190129 + forall(from..(length(tmp1)),jj, + flg=0; //190126from + tmp2=["Figure","Parent","ParaF","Anime","Flip","Title","Slide","Digest", + "KeTJS","KeTJSoff","Objview"]; + if(indexof(tmp1_jj,"type: "+Dqq("Button"))>0, + nn=indexof(tmp1_jj,"text: "); + tmp=substring(tmp1_jj,nn-1,length(tmp1_jj)); + nn=Indexall(tmp,Dq); + tmp=substring(tmp,nn_1,nn_2-1); + if(!contains(tmp2,tmp), + out=append(out,tmp1_jj); //190129 + ); + flg=1; + ); + if(flg==0, + tmp=indexof(tmp1_jj,"type: "+Dq+"Free")+indexof(tmp1_jj,"type: "+Dq+"Point"); + if(tmp>0, + tmp2=tmp1_jj; + tmp=Indexall(tmp2,Dq); //190129from + tmp=substring(tmp2,tmp_1,tmp_2-1); + if(contains(nolabel,tmp), + if(indexof(tmp2,"labeled: true")>0, + tmp2=replace(tmp2,"labeled: true","labeled: false"); + ); + ); + if(indexof(tmp2,"size:")==0, + tmp2=replace(tmp2,"}",", size: 3.0}"); + out=append(out,tmp2); //190129 + , + out=append(out,tmp2); //190129 + ); //190129to + flg=1; + ); + ); + if(flg==0, + out=append(out,tmp1_jj); //190129 + ); //190126to + ); + tmp=select(1..(length(out)),indexof(out_#," ],")>0); //190129from + tmp=tmp_1; + tmp1=out_(tmp-1); + if(substring(tmp1,length(tmp1)-1,length(tmp1))==",", //190201from + out_(tmp-1)=substring(tmp1,0,length(tmp1)-1); + ); //190201to + tmp=select(1..(length(out)),indexof(out_#,"width:")>0); + jj=tmp_1; + tmp1=out_jj; + flg=0; + forall(1..(length(tmp1)-1), + if(flg==0, + tmp=substring(tmp1,#-1,#); + if(tmp==":", + tmp2=substring(tmp1,#+1,length(tmp1)-1); + flg=1; + ); + ); + ); + tmp=round(scale*parse(tmp2)); + out_jj=" width: "+text(tmp)+","; + tmp=select(1..(length(out)),indexof(out_#,"height:")>0); + jj=tmp_1; + tmp1=out_jj; + flg=0; + forall(1..(length(tmp1)-1), + if(flg==0, + tmp=substring(tmp1,#-1,#); + if(tmp==":", + tmp2=substring(tmp1,#+1,length(tmp1)-1); + flg=1; + ); + ); + ); + tmp=round(scale*parse(tmp2)); + out_jj=" height: "+text(tmp)+","; + if(length(color)>0, + tmp=select(1..(length(out)),indexof(out_#,"background: ")>0); + jj=tmp_1; + tmp=indexof(out_jj,")"); //190130from + tmp=substring(out_jj,tmp-1,length(out_jj)); + out_jj=" background: "+Dq+"rgb("+color+tmp; //190130to + ); + if(length(grid)>0, + tmp=select(1..(length(out)),indexof(out_#,"grid:")>0); + jj=tmp_1; + tmp1=" grid: "+grid; + if(indexof(out_jj,",")>0, + tmp1=tmp1+","; + ); + out_jj=tmp1; + ); + forall(out, + println(SCEOUTPUT,#); + ); //190129to + closefile(SCEOUTPUT); + setdirectory(Dirwork); + if(webflg=="Y",tmp="json",tmp="jsoff"); + drawtext(mouse().xy-[0,1],tmp+"in "+path,size->20,color->[1,0,0]); + wait(1000); + ); +); +////%Mkketcindyjs end//// + //help:end(); diff --git a/Master/texmf-dist/scripts/ketcindy/ketlib/ketcindyliboutlogr.txt b/Master/texmf-dist/scripts/ketcindy/ketlib/ketcindyliboutlogr.txt index 5760eda39a2..5a61f9a92e3 100644 --- a/Master/texmf-dist/scripts/ketcindy/ketlib/ketcindyliboutlogr.txt +++ b/Master/texmf-dist/scripts/ketcindy/ketlib/ketcindyliboutlogr.txt @@ -1,3 +1,19 @@ +// 20190127 + Gccexists changed (in case that PathC is full path in Mac/Windws) +// 20190126 +// Boxplot changed ( Pointdata[size] ) +// 20190125 +// Readcsv changed/debugged ( option "Head=" added. For 1 line data ) +// HIstplot, Boxplot changed (wait=5) +// 20190124 +// Gccexists added +// Sfcutparadata debugged (optionh) +// 20190123 +// Sfbdparadata,... debugged (in case of emply options,optionsh ) +// kcC chnage ( positon "-lm" changed for Mac/Linux ) +// 20181219 +// Rfun debugged ( Out=y ) +// CalcbyR debugged ( argment list changed to string) // 20181218 // Help (Sfbdparadata ,,,, ) // 20181217 diff --git a/Master/texmf-dist/scripts/ketcindy/ketlib/ketcindyliboutr.cs b/Master/texmf-dist/scripts/ketcindy/ketlib/ketcindyliboutr.cs index 946743bed6f..354cedc324e 100644 --- a/Master/texmf-dist/scripts/ketcindy/ketlib/ketcindyliboutr.cs +++ b/Master/texmf-dist/scripts/ketcindy/ketlib/ketcindyliboutr.cs @@ -14,7 +14,7 @@ // along with this program. If not, see <http://www.gnu.org/licenses/> // -println("ketcindylibout(20181218 loaded"); +println("ketcindylibout(20190127 loaded"); //help:start(); @@ -783,6 +783,7 @@ CalcbyR(name,path,cmd,optionorg):=( strL=tmp_7; dig=5; tmp=cmd_(length(cmd)-1); //181130from + if(!isstring(tmp),tmp=text(tmp)); //190109 if(indexof(tmp,"=")+indexof(tmp,"::")>0, cat="Y"; , @@ -1132,7 +1133,8 @@ Rfun(name,fun,argL,optionorg):=( cmdL=concat(cmdL,[ nm+"="+fun,argL, ]); - options=concat(options,["Wait=2"]); +// options=concat(options,["Wait=2"]); + options=concat(options,["Wait=2","Cat=y"]); //190109 CalcbyR(nm,cmdL,options); if(ErrFlag==0, if(disp==1, // 15.11.24 @@ -1179,10 +1181,6 @@ Readcsv(pathorg,file,optionorg):=( options=remove(options,[#]); ); ); -// if(tmp=="W", // removed:17.02.19 -// waiting=parse(tmp2); -// options=remove(options,[#]); -// ); if(tmp=="S", sep=tmp2; options=remove(options,[#]); @@ -1285,19 +1283,35 @@ Readcsv(pathorg,file,optionorg):=( ); ); ); -// New readcsv (181125) +// New readcsv [181125] Readcsv(file):=Readcsv(Dirwork,file); -Readcsv(path,file):=( +Readcsv(path,file):=Readcsv(path,file,[]); +Readcsv(path,file,options):=( //help:Readcsv("ex.csv"); //help:Readcsv(directory,"ex.csv"); -//help:Readcsv(options=["Head=yes","Sep=-999","Flat=no","Use=R"]); - regional(dt); +//help:Readcsv(options=["Head=no"]); + regional(dt,eqL,head,from,end,tmp); + tmp=Divoptions(options); + eqL=tmp_5; + head="n"; from=1; //190125from + forall(eqL, + tmp=Strsplit(#,"="); + if(Toupper(substring(tmp_1,0,1))=="H", + head=substring(tmp_2,0,1); + ); + ); + if(Toupper(head)=="Y", + from=2; + ); //190125to dt=readfile2str(path,file); dt=tokenize(dt,"/LF/"); + end=length(dt); if(dt_(length(dt))=="", - dt=dt_(1..(length(dt)-1)); + end=end-1; + dt=dt_(from..end); //190125 ); dt=apply(dt,tokenize(#,",")); + if(length(dt)==1, dt=dt_1); //190125 dt; ); ////%Readcsv end//// @@ -1567,7 +1581,7 @@ Boxplot(nm,dataorg,ypos,dy,optionorg):=( tmp=divoptions(options); eqL=tmp_5; strL=tmp_7; - waiting=3; + waiting=10; wrflg=0; forall(eqL, tmp=indexof(#,"="); @@ -1707,7 +1721,7 @@ Boxplot(nm,dataorg,ypos,dy,optionorg):=( out=bp_(6..length(bp)); if(length(out)>0, out=apply(out,[#,ypos]); - Pointdata(name+text(1),out,concat(options,[0,"Size=4"])); + Pointdata(name+text(1),out,concat(options,[0,"Size=2","Inside=white"])); //190125 ); pstr=substring(pstr,0,length(pstr)-1)+"]"; println("generate totally "+name); @@ -1732,7 +1746,7 @@ Histplot(nm,dataorg,optionorg):=( breaks = "breaks="+Dq+"Sturges"+Dq; density=0; relative=0; - waiting=3; + waiting=10; //190125 forall(eqL, tmp=Strsplit(#,"="); tmp1=Toupper(substring(tmp_1,0,1)); @@ -4756,140 +4770,6 @@ Frifun(name,fun,argL,optionorg):=( 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,dirfile,dirwork,dirketjs); - dirwork=replace(Dirwork,"\","/"); - tmp=replace(Dircdy,"\","/"); - if(substring(tmp,length(tmp)-1,length(tmp))=="/",//180411from - dirfile=substring(tmp,0,length(tmp)-1); - , - dirfile=tmp; - );//180411to - tmp=replace(Dirlib,"\","/"); - dirketjs=replace(tmp,"ketlib","ketcindyjs");//180411to - 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(dirfile,Fhead+".html"),//180411to - 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('"+dirketjs+"')"); - println(SCEOUTPUT,"Dtket=readLines('"+libname+".txt')"); - println(SCEOUTPUT,"setwd('"+dirfile+"')");//180411 - 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:///"+dirketjs+"/CindyJS.css'");//180411 - 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:///"+dirketjs+"/Cindy.js'");//180411 - 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,"setwd('"+dirfile+"')");//180411 - println(SCEOUTPUT,"writeLines(Dt,'"+Fhead+"ketcindy.html',sep='\n')"); - println(SCEOUTPUT,"quit()"); - closefile(SCEOUTPUT); - kcR(PathR,Fhead+".r",["m"]); - println(Fhead+"ketcindy.html generated successfully"); - , - drawtext(mouse().xy-[0,1],"use 'write to CindyJS' before that",size->24,color->[1,0,0]); - wait(3000); - ); -); - ///////////////// C function ////////////////// Cformold(strorg):=( @@ -5200,7 +5080,7 @@ kcC(cname):=( ); //181125to println(SCEOUTPUT,"#!/bin/sh"); println(SCEOUTPUT,"cd "+Dq+Dirwork+Dq); - tmp=PathC+" -lm "+cname+".c -o main.out"; //180612 + tmp=PathC+" "+cname+".c -o main.out -lm"; //190123 println(SCEOUTPUT,tmp); println(SCEOUTPUT,"./main.out"); println(SCEOUTPUT,"echo ////>"+rfile); @@ -5632,6 +5512,22 @@ CalcbyC(name,path,cmd,optionorg):=( ); ////%CalcbyC end//// +////%Gccexists start//// +Gccexists():=( //190124 + regional(out); + if(iswindows(), + out=isexists("",PathC); + , + if(indexof(PathC,"/")==0, //190127from + out=isexists("/usr/bin",PathC); + , + out=isexists("",PathC); + ); + ); //190127to + out; +); +////%Gccexists end//// + ////%ExeccmdC start//// ExeccmdC(nm):=ExeccmdC(nm,[],["do"]); //180531 ExeccmdC(nm,options):=ExeccmdC(nm,options,["do"]); @@ -5794,8 +5690,12 @@ SfbdparadataC(nm,fdorg,optionorg,optionshorg):=( name2h="sfbdh2d"+nm; name3h="sfbdh3d"+nm; fname=Fhead+"sfbd"+nm+".txt"; - options=optionorg; - optionsh=select(optionshorg,length(#)>0); //181107 + options=select(optionorg,length(#)>0); //190123from + tmp=Divoptions(options); + if(length(tmp_7)==0,options=append(options,"dr")); + optionsh=select(optionshorg,length(#)>0); + tmp=Divoptions(optionsh); + if(length(tmp_7)==0,optionsh=append(optionsh,"do")); //190123to tmp=Divoptions(options); eqL=tmp_5; reL=tmp_6; @@ -5918,8 +5818,12 @@ CrvsfparadataC(nm,Fk,sfbdorg,fdorg,optionorg,optionshorg):=( name2h="crvsfh2d"+nm; name3h="crvsfh3d"+nm; fname=Fhead+"crvsf"+nm+".txt"; - options=optionorg; - optionsh=select(optionshorg,length(#)>0); //181107 + options=select(optionorg,length(#)>0); //190123from + tmp=Divoptions(options); + if(length(tmp_7)==0,options=append(options,"dr")); + optionsh=select(optionshorg,length(#)>0); + tmp=Divoptions(optionsh); + if(length(tmp_7)==0,optionsh=append(optionsh,"do")); //190123to tmp=Divoptions(options); eqL=tmp_5; reL=tmp_6; @@ -6280,8 +6184,12 @@ WireparadataC(nm,sfbd,fdorg,wr1,wr2,optionorg,optionshorg):=( name3h="wireh3d"+nm; fname=Fhead+"wire"+nm+".txt"; fnameh=replace(fname,".txt","h.txt"); - options=optionorg; - optionsh=select(optionshorg,length(#)>0); //181107 + options=select(optionorg,length(#)>0); //190123from + tmp=Divoptions(options); + if(length(tmp_7)==0,options=append(options,"dr")); + optionsh=select(optionshorg,length(#)>0); + tmp=Divoptions(optionsh); + if(length(tmp_7)==0,optionsh=append(optionsh,"do")); //190123to tmp=Divoptions(options); eqL=tmp_5; reL=tmp_6; @@ -6579,7 +6487,7 @@ SfcutparadataC(nm,cutfunL,sfbd,fd):=(//180505 SfcutparadataC(nm,cutfunL,sfbd,fd,[],["do"]); ); SfcutparadataC(nm,cutfunL,sfbd,fd,options):= - SfcutparadataC(nm,cutfunL,sfbd,fd,options,["nodisp"]); + SfcutparadataC(nm,cutfunL,sfbd,fd,options,[]); SfcutparadataC(nm,cutfunLorg,sfbd,fdorg,optionorg,optionshorg):=( //help:Sfcutparadata("1","2*x+3*y+z=1","sfbd3d",fd,nohiddenoptions,hiddenoptions); regional(funnm,cutfunL,fd,options,optionsh,name2,name3,name2h,name3h, @@ -6632,8 +6540,12 @@ SfcutparadataC(nm,cutfunLorg,sfbd,fdorg,optionorg,optionshorg):=( options=remove(options,[#]); ); ); - options=remove(options,reL); - options=select(options,length(#)>0); + options=select(optionorg,length(#)>0); //190123from + tmp=Divoptions(options); + if(length(tmp_7)==0,options=append(options,"dr")); + optionsh=select(optionshorg,length(#)>0); + tmp=Divoptions(optionsh); + if(length(tmp_7)==0,optionsh=append(optionsh,"do")); //190123to tmp1=select(options, (indexof(#,"=")>0)&(Toupper(substring(#,0,1))=="C")); //181114from if(length(tmp1)>0, diff --git a/Master/texmf-dist/scripts/ketcindy/ketlib/ketpiccurrent.r b/Master/texmf-dist/scripts/ketcindy/ketlib/ketpiccurrent.r index b177e4245bb..0d7791d6fb0 100755 --- a/Master/texmf-dist/scripts/ketcindy/ketlib/ketpiccurrent.r +++ b/Master/texmf-dist/scripts/ketcindy/ketlib/ketpiccurrent.r @@ -16,10 +16,16 @@ ######################################### -ThisVersion<- "KeTpic for R v5_2_4(20181128)" +ThisVersion<- "KeTpic for R v5_2_4(20190127)" print(ThisVersion) +# 20190127 +# Mvprod added +# 20181231 +# Drwpt debugged/changed ( grep removed, N=8 set ) +# 20181230 +# Drwpt changed ( Same, Incolor ) # 20181128 # Objthicksurf debugged # 20181031 @@ -621,6 +627,29 @@ Dotprod<-function(a,b){ # 18.02.05 return(out) } +Mvprod<- function(...){ # 190127 + varargin<- list(...) + mat=varargin[[1]] + vec=varargin[[2]] + if(length(varargin)>2){ + nn=varargin[[3]] + }else{ + nn=1 + } + mm=round(length(vec)/nn) + mat=matrix(mat,ncol=mm,byrow=TRUE) + vec=matrix(vec,nrow=nn,byrow=TRUE) + out=c() + for(jj in 1:nn){ + tmp=mat%*%Op(jj,vec) + out=c(out,tmp) + } + if(nn>1){ + out=matrix(out,nrow=nn,byrow=TRUE) + } + return(out) +} + Dist<- function(...) # 17.09.17 { varargin<- list(...) @@ -2361,29 +2390,45 @@ Drwline<-function(...) ########################################### -Drwpt<-function(...) -{ ## Scaling is implemented +Drwpt<-function(...){ varargin<-list(...) Nargs<-length(varargin) if(TenSize>TenSizeInit){ - N<- round(6*sqrt(TenSize/TenSizeInit)) + N=round(10*sqrt(TenSize/TenSizeInit)) #181231 } else{ - N<-4 + if(TenSize==TenSizeInit){ #181231from + N=10 + }else{ + N=4 + } #181231to } - Tmp<- varargin[[Nargs]] - if(mode(Tmp)=="numeric"){ - if(length(Tmp)>1){ - Kosa<- 1; All<- Nargs - } - else{ - Kosa<- Tmp; All<- Nargs-1 + All=Nargs #181230from + Same="y" + Incolor="" + Tmp=varargin[[All]] + if(is.numeric(Tmp)){ + if(length(Tmp)==3){Tmp=c(Tmp,1)} #181231 + if(length(Tmp)==4){ + if(Tmp[4]<0){ #181231from + Same="nn" + }else{ + Incolor=paste(" ",as.character(Tmp[4]),sep="") + } #181231to + }else{ + Same="n" + Incolor="{" + for(J in 4:6){ + Incolor=paste(Incolor,as.character(Tmp[J]),sep="") + if(J<6){ + Incolor=paste(Incolor,",",sep="") + } + } + Incolor=paste(Incolor,"}",sep="") } - } - else if(mode(Tmp)=="list"){ - Kosa<- 1; All<- Nargs - } - CL<-c() + All=Nargs-1 + }#181230to + 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)) @@ -2405,9 +2450,29 @@ Drwpt<-function(...) for (J in 0:N){ PL<- c(PL,P+CL[J+1,]) } - PL<-matrix(PL,nrow=2) - PL<-t(PL) - Mojisu<-0 + PL<- matrix(PL,nrow=2) + PL<- t(PL) + if(Same=="n"){ #181230from + Str1<- paste("{\\special{pn 0}\\color[rgb]",Incolor,"%\n",sep="") + cat(Str1,file=Wfile,append=TRUE) + 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}\\special{fp}}%\n",sep="") + cat(Str1,file=Wfile,append=TRUE) + } + cat("\\special{pn 4}",file=Wfile,append=TRUE) #181231 + Mojisu=0 for (J in 1:Nrow(PL)){ Q<- PL[J,] X<- as.character(round(MilliIn*Q[1])) @@ -2420,10 +2485,12 @@ Drwpt<-function(...) } 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) + if(Same=="y"){ + Str1<- paste("\\special{sh",Incolor,"}\\special{fp}%\n",sep="") + }else{ + Str1<- paste("\\special{fp}%\n",sep="") + } + cat(Str1,file=Wfile,append=TRUE) #181230to } } } diff --git a/Master/texmf-dist/scripts/ketcindy/ketlib/ketpiccurrent_rep2e.r b/Master/texmf-dist/scripts/ketcindy/ketlib/ketpiccurrent_rep2e.r index bce6137fea1..8d2a90b274d 100755 --- a/Master/texmf-dist/scripts/ketcindy/ketlib/ketpiccurrent_rep2e.r +++ b/Master/texmf-dist/scripts/ketcindy/ketlib/ketpiccurrent_rep2e.r @@ -16,8 +16,10 @@ ######################################### -ThisVersion<- "2ev5_2_4(180930)" +ThisVersion<- "2ev5_2_4(181230)" +# 20181230 +# Drwpt changed ( Inside ) # 20180930 # Drwpt debugged ( the last newline added) # 20180929 @@ -206,58 +208,41 @@ Drwline<-function(...) ########################################### -Drwpt<-function(...) +Drwpt<-function(...) #181230 { 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 + Same="y" + Incolor="" + Tmp=varargin[[All]] + if(is.numeric(Tmp)){ + if(length(Tmp)==3){Tmp=c(Tmp,1)} + if(length(Tmp)==4){ + if(Tmp[4]<0){ + Same="nn" + }else{ + if(Tmp[4]!=1){ + Tmp1=Tmp[4]*(c(1,1,1)-Tmp[1:3]) + Tmp1=c(1,1,1)-Tmp1 + Tmp=c(Tmp[1:3],Tmp1) + } + } } - } - 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="") + if(length(Tmp)==6){ + Same="n" + Incolor="\\color[rgb]{" + for(J in 4:6){ + Incolor=paste(Incolor,as.character(Tmp[J]),sep="") + if(J<6){ + Incolor=paste(Incolor,",",sep="") + } } + Incolor=paste(Incolor,"}",sep="") } - Str=paste(Str,'}%',sep="") - cat(Str,file=Wfile,append=TRUE) + All=Nargs-1 } - -# 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) + Ra=TenSize*1000/2.54/MilliIn Mojisu=0 for (II in Looprange(1,All)){ MS<- varargin[[II]] @@ -271,23 +256,33 @@ Drwpt<-function(...) 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="") + Str="" + if(Same=="n"){ + Str=paste("{\\linethickness{0 in}",Incolor,sep="") + } + if(Same!="nn"){ + Str=paste(Str,'\\put(',X,',',Y,'){\\circle*{',sprintf('%6.6f',Ra),'}}',sep="") + cat(Str,file=Wfile,append=TRUE) + Mojisu=Mojisu+nchar(Str) + } + if(Same=="n"){ + cat("}",file=Wfile,append=TRUE) + } + 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="" } } } - Str="%" - if(Iroflg>0){ - Str='}%' + if(Same=="n"){ + # Str='}%' } if(Mojisu>0){ Str=paste('\n',Str,'\n',sep="") - }else{ - Fmt=paste(Str,'\n',sep="") } cat(Str,file=Wfile,append=TRUE) cat("\n",file=Wfile,append=TRUE) #180930 diff --git a/Master/texmf-dist/scripts/ketcindy/ketlibC/ketlibClog.txt b/Master/texmf-dist/scripts/ketcindy/ketlibC/ketlibClog.txt index cb026b1a340..d3f9ac4d8d1 100644 --- a/Master/texmf-dist/scripts/ketcindy/ketlibC/ketlibClog.txt +++ b/Master/texmf-dist/scripts/ketcindy/ketlibC/ketlibClog.txt @@ -1,3 +1,7 @@ +190124 + readoutdata3 changed (tmp,strtmp) +190123 + Use of sprintf 181105 output3h debugged ( ctr=0 added in varh ) readoutdata3 debugged (//,etc ) diff --git a/Master/texmf-dist/scripts/ketcindy/ketlibC/surflib.h b/Master/texmf-dist/scripts/ketcindy/ketlibC/surflib.h index a72eed58230..f700a071252 100644 --- a/Master/texmf-dist/scripts/ketcindy/ketlibC/surflib.h +++ b/Master/texmf-dist/scripts/ketcindy/ketlibC/surflib.h @@ -1356,16 +1356,24 @@ void wireparadata(short ch,double bdyk[][3], double udata[], double vdata[],cons if(strlen(fnameh)>0){ allflg=0; } - char var[20]="wire3d"; - char varh[20]="wireh3d"; - char varnow[20]={'\0'}; - char varhnow[20]={'\0'}; - sprintf(var,"%s%d",var,ch); - sprintf(varh,"%s%d",varh,ch); - char dirfname[256] = {'\0'}; - char dirfnameh[256] = {'\0'}; - char varname[256] = {'\0'}; - char varnameh[256] = {'\0'}; + char var0[]="wire3d"; + char varh0[]="wireh3d"; + char var[20]; + char varh[20]; + char varnow[40]; + char varhnow[40]; + varnow[0]='\0'; + varhnow[0]='\0'; + sprintf(var,"%s%d",var0,ch); + sprintf(varh,"%s%d",varh0,ch); + char dirfname[256]; + char dirfnameh[256]; + char varname[256]; + char varnameh[256]; + dirfname[0]='\0'; + dirfnameh[0]='\0'; + varname[0]='\0'; + varnameh[0]='\0'; sprintf(varname,"%s%d",var,ch); sprintf(varnameh,"%s%d",varh,ch); sprintf(dirfname,"%s%s",Dirname,fname); @@ -1440,9 +1448,11 @@ void intersectcrvsf(const char *wa, short chfd,double crv[][3],const char *fname char chc[10]; sprintf(chc,"%d",chfd); char var[]="intercrvsf"; - char dirfname[256] = {'\0'}; + char dirfname[256]; + dirfname[0] = '\0'; sprintf(dirfname,"%s%s",Dirname,fname); - char varname[256] = {'\0'}; + char varname[256]; + varname[0] = '\0'; sprintf(varname,"%s%s",var,chc); ptL[0][0]=0; for(i=1;i<length3(crv);i++){ @@ -1471,16 +1481,24 @@ void sfcutparadata(short chfd, short ncut, double fbdy3[][3],const char *fname,c if(strlen(fnameh)==0){ allflg=1; } - char var[20]="sfcut3d"; - char varh[20]="sfcuth3d"; - sprintf(var,"%s%d",var,chfd); - sprintf(varh,"%s%d",varh,chfd); - char varnow[20]={'\0'}; - char varhnow[20]={'\0'}; - char dirfname[256] = {'\0'}; - char dirfnameh[256] = {'\0'}; - char varname[256] = {'\0'}; - char varnameh[256] = {'\0'}; + char var0[]="sfcut3d"; + char varh0[]="sfcuth3d"; + char var[20]; + char varh[20]; + sprintf(var,"%s%d",var0,chfd); + sprintf(varh,"%s%d",varh0,chfd); + char varnow[40]; + char varhnow[40]; + char dirfname[256]; + char dirfnameh[256]; + char varname[256]; + char varnameh[256]; + varnow[0]='\0'; + varhnow[0]='\0'; + dirfname[0]='\0'; + dirfnameh[0]='\0'; + varname[0]='\0'; + varnameh[0]='\0'; sprintf(varname,"%s%d",var,chfd); sprintf(varnameh,"%s%d",varh,chfd); sprintf(dirfname,"%s%s",Dirname,fname); @@ -1959,10 +1977,16 @@ int skeletondata3(double data[][3], double r00, void readoutdata3(const char *fname, const char *var, double data[][3]){ double x,y,z; float xx; - char dstrorg[256] = {'\0'}; - char dstr[256] = {'\0'}; - char str[10] = {'\0'},tmp[2]={'\0'}; - int linectr=0, start=0, jj,nn,nctr; + char dstrorg[256]; + dstrorg[0]='\0'; + char dstr[256]; + dstr[0]='\0'; + char str[10]; + str[0]='\0'; + char strtmp[30]; + char tmp[10]; + tmp[0]='\0'; + int linectr=0, start=0,ii,jj,nn,nctr; FILE *fp; fp=fopen(fname,"r"); if(fp==NULL){ @@ -2005,7 +2029,7 @@ void readoutdata3(const char *fname, const char *var, double data[][3]){ str[0]='\0'; nctr=0; for(jj=2;jj<250;jj++){ - tmp[0]='\0'; sprintf(tmp,"%s%c",tmp,dstr[jj]); + tmp[0]='\0'; sprintf(tmp,"%c",dstr[jj]); if(strncmp(tmp,"/",1)==0){ break; } @@ -2028,13 +2052,21 @@ void readoutdata3(const char *fname, const char *var, double data[][3]){ add3(data,x,y,z); nctr=0; jj++; - tmp[0]='\0'; sprintf(tmp,"%s%c",tmp,dstr[jj]); + tmp[0]='\0'; sprintf(tmp,"%c",dstr[jj]); if(strncmp(tmp,",",1)==0){ jj++; } continue; } - sprintf(str,"%s%s",str,tmp); + strtmp[0]='\0'; + sprintf(strtmp,"%s%s",str,tmp); + str[0]='\0'; + for(ii=0;ii<20;ii++){ + str[ii]=strtmp[ii]; + if(strtmp[ii]=='\0'){ + break; + } + } } } fclose(fp); diff --git a/Master/texmf-dist/scripts/ketcindy/template2allbuttons.cdy b/Master/texmf-dist/scripts/ketcindy/template2allbuttons.cdy Binary files differnew file mode 100644 index 00000000000..5b518f9f9e3 --- /dev/null +++ b/Master/texmf-dist/scripts/ketcindy/template2allbuttons.cdy diff --git a/Master/texmf-dist/scripts/ketcindy/template2slide.cdy b/Master/texmf-dist/scripts/ketcindy/template2slide.cdy Binary files differdeleted file mode 100644 index 223c67406b6..00000000000 --- a/Master/texmf-dist/scripts/ketcindy/template2slide.cdy +++ /dev/null diff --git a/Master/texmf-dist/tex/latex/ketcindy/ketpic.sty b/Master/texmf-dist/tex/latex/ketcindy/ketpic.sty index b0555f7bfb6..5215cd1f11e 100644 --- a/Master/texmf-dist/tex/latex/ketcindy/ketpic.sty +++ b/Master/texmf-dist/tex/latex/ketcindy/ketpic.sty @@ -13,6 +13,8 @@ %* 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 +% 2018.09.20 +% setmargintrue added % 2016.12.08 % NEarrow, ..., SELarrow,... added % argument ( option ) = size @@ -94,6 +96,23 @@ \addtolength{\textheight}{-#4 mm}% % }% +\newcommand{\setmargintrue}[4]{ +\setlength{\oddsidemargin}{-25.4truemm}% +\addtolength{\oddsidemargin}{#1 truemm}% +\setlength{\textwidth}{\paperwidth}% +\addtolength{\textwidth}{-#1 truemm}% +\addtolength{\textwidth}{-#2 truemm}% +\setlength{\topmargin}{-25.4truemm}% 1in=25.4mm +\addtolength{\topmargin}{#3 truemm}% +\addtolength{\topmargin}{-\headheight}% +\addtolength{\topmargin}{-\headsep}% +\addtolength{\topmargin}{-\topskip}% +\setlength{\textheight}{\paperheight}% +\addtolength{\textheight}{-#3 truemm}% +\addtolength{\textheight}{-#4 truemm}% +\addtolength{\textheight}{\topskip}% +% +}% \newcommand{\ketcalcwidth}[2][0]{% \settowidth{\Depth}{#2}% \setlength{\Width}{0\unitlength}% diff --git a/Master/texmf-dist/tex/latex/ketcindy/ketpic2e.sty b/Master/texmf-dist/tex/latex/ketcindy/ketpic2e.sty index b9b3d3ea31a..5f90f97848c 100644 --- a/Master/texmf-dist/tex/latex/ketcindy/ketpic2e.sty +++ b/Master/texmf-dist/tex/latex/ketcindy/ketpic2e.sty @@ -12,6 +12,8 @@ %* %* You should have received a copy of the GNU General Public License %* along with this program. If not, see <http://www.gnu.org/licenses/> +% 2018.09.20 +% setmargintrue added % 2016.12.08 % NEarrow,..., NERarrow,... added % argument(option)=size @@ -93,6 +95,23 @@ \addtolength{\textheight}{-#4 mm}% % }% +\newcommand{\setmargintrue}[4]{ +\setlength{\oddsidemargin}{-25.4truemm}% +\addtolength{\oddsidemargin}{#1 truemm}% +\setlength{\textwidth}{\paperwidth}% +\addtolength{\textwidth}{-#1 truemm}% +\addtolength{\textwidth}{-#2 truemm}% +\setlength{\topmargin}{-25.4truemm}% 1in=25.4mm +\addtolength{\topmargin}{#3 truemm}% +\addtolength{\topmargin}{-\headheight}% +\addtolength{\topmargin}{-\headsep}% +\addtolength{\topmargin}{-\topskip}% +\setlength{\textheight}{\paperheight}% +\addtolength{\textheight}{-#3 truemm}% +\addtolength{\textheight}{-#4 truemm}% +\addtolength{\textheight}{\topskip}% +% +}% \newcommand{\ketcalcwidth}[2][0]{% \settowidth{\Depth}{#2}% \setlength{\Width}{0\unitlength}% |