ketcindy 20180409

git-svn-id: svn://tug.org/texlive/trunk@47395 c570f23f-e606-0410-a88d-b1316a301751

419 files changed, 62536 insertions, 0 deletions

diff --git a/Master/texmf-dist/doc/support/ketcindy/CindyJS/Cindy.js b/Master/texmf-dist/doc/support/ketcindy/CindyJS/Cindy.js
new file mode 100644
index 00000000000..04aa2fd9134
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/CindyJS/Cindy.js
@@ -0,0 +1,781 @@
+/* CindyJS - (C) 2014-2016  The CindyJS Project
+ * Mostly licensed under the Apache License 2.0, but subprojects may use different licensing.
+ * See https://github.com/CindyJS/CindyJS/tree/bb244cab7fdc8d4ea030751ec40c6d384c09f464
+ * for corresponding sources and their respective licensing conditions.
+ */
+var enableInlineVideo=function(){function p(f,k,p,F){function E(p){ea=k(E,F);f(p-(K||p));K=p}var ea,K;return{start:function(){ea||E(0)},stop:function(){p(ea);ea=null;K=0}}}function E(f,k,p,F){function E(k){!!f[p]===!!F&&k.stopImmediatePropagation();delete f[p]}return f.addEventListener(k,E,!1),E}function ja(f,k,p,F){function E(f){p[k]=f}F&&E(f[k]);Object.defineProperty(f,k,{get:function(){return p[k]},set:E})}function Ca(f,k,p){p.addEventListener(k,function(){return f.dispatchEvent(new Event(k))})}
+function pa(f,k){Promise.resolve().then(function(){f.dispatchEvent(new Event(k))})}function Da(f){var k=new Audio;return Ca(f,"play",k),Ca(f,"playing",k),Ca(f,"pause",k),k.crossOrigin=f.crossOrigin,k.src=f.src||f.currentSrc||"data:",k}function aa(k,p,F){(K||0)+200<Date.now()&&(k[Ea]=!0,K=Date.now());F||(k.currentTime=p);f[++nb%3]=100*p|0}function k(f){this.video.readyState>=this.video.HAVE_FUTURE_DATA?(this.hasAudio||(this.driver.currentTime=this.video.currentTime+f*this.video.playbackRate/1E3,this.video.loop&&
+this.driver.currentTime>=this.video.duration&&(this.driver.currentTime=0)),aa(this.video,this.driver.currentTime)):this.video.networkState===this.video.NETWORK_IDLE&&0===this.video.buffered.length&&this.video.load();this.video.ended&&(delete this.video[Ea],this.video.pause(!0))}function Oa(){var f=this[W];return this.webkitDisplayingFullscreen?void this[ob]():("data:"!==f.driver.src&&f.driver.src!==this.src&&(aa(this,0,!0),f.driver.src=this.src),void(this.paused&&(f.paused=!1,0===this.buffered.length&&
+this.load(),f.driver.play(),f.updater.start(),f.hasAudio||(pa(this,"play"),f.video.readyState>=f.video.HAVE_ENOUGH_DATA&&pa(this,"playing")))))}function F(f){var k=this[W];k.driver.pause();k.updater.stop();this.webkitDisplayingFullscreen&&this[sa]();k.paused&&!f||(k.paused=!0,k.hasAudio||pa(this,"pause"),this.ended&&(this[Ea]=!0,pa(this,"ended")))}function ea(F,E){var I=F[W]={};I.paused=!0;I.hasAudio=E;I.video=F;I.updater=p(k.bind(I),requestAnimationFrame,cancelAnimationFrame);E?I.driver=Da(F):(F.addEventListener("canplay",
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+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;
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+n=I,I=C);N.mulTo(I,v[K],n)}for(;0<=H&&0==(b[H]&1<<e);)N.sqrTo(n,I),C=n,n=I,I=C,0>--e&&(e=this.DB-1,--H)}return N.revert(n)};p.prototype.modInverse=function(b){var d=b.isEven();if(this.isEven()&&d||0==b.signum())return p.ZERO;for(var e=b.clone(),f=this.clone(),n=aa(1),k=aa(0),v=aa(0),C=aa(1);0!=e.signum();){for(;e.isEven();)e.rShiftTo(1,e),d?(n.isEven()&&k.isEven()||(n.addTo(this,n),k.subTo(b,k)),n.rShiftTo(1,n)):k.isEven()||k.subTo(b,k),k.rShiftTo(1,k);for(;f.isEven();)f.rShiftTo(1,f),d?(v.isEven()&&
+C.isEven()||(v.addTo(this,v),C.subTo(b,C)),v.rShiftTo(1,v)):C.isEven()||C.subTo(b,C),C.rShiftTo(1,C);0<=e.compareTo(f)?(e.subTo(f,e),d&&n.subTo(v,n),k.subTo(C,k)):(f.subTo(e,f),d&&v.subTo(n,v),C.subTo(k,C))}if(0!=f.compareTo(p.ONE))return p.ZERO;if(0<=C.compareTo(b))return C.subtract(b);if(0>C.signum())C.addTo(b,C);else return C;return 0>C.signum()?C.add(b):C};p.prototype.pow=function(b){return this.exp(b,new Ea)};p.prototype.gcd=function(b){var d=0>this.s?this.negate():this.clone();b=0>b.s?b.negate():
+b.clone();if(0>d.compareTo(b)){var e=d,d=b;b=e}var e=d.getLowestSetBit(),f=b.getLowestSetBit();if(0>f)return d;e<f&&(f=e);for(0<f&&(d.rShiftTo(f,d),b.rShiftTo(f,b));0<d.signum();)0<(e=d.getLowestSetBit())&&d.rShiftTo(e,d),0<(e=b.getLowestSetBit())&&b.rShiftTo(e,b),0<=d.compareTo(b)?(d.subTo(b,d),d.rShiftTo(1,d)):(b.subTo(d,b),b.rShiftTo(1,b));0<f&&b.lShiftTo(f,b);return b};p.prototype.isProbablePrime=function(b){var d,e=this.abs();if(1==e.t&&e[0]<=H[H.length-1]){for(d=0;d<H.length;++d)if(e[0]==H[d])return!0;
+return!1}if(e.isEven())return!1;for(d=1;d<H.length;){for(var f=H[d],n=d+1;n<H.length&&f<Zb;)f*=H[n++];for(f=e.modInt(f);d<n;)if(0==f%H[d++])return!1}return e.millerRabin(b)};p.prototype.square=function(){var b=E();this.squareTo(b);return b};p.prototype.IsNegative=function(){return-1==this.compareTo(p.ZERO)?!0:!1};p.op_Equality=function(b,d){return 0==b.compareTo(d)?!0:!1};p.op_Inequality=function(b,d){return 0!=b.compareTo(d)?!0:!1};p.op_GreaterThan=function(b,d){return 0<b.compareTo(d)?!0:!1};p.op_LessThan=
+function(b,d){return 0>b.compareTo(d)?!0:!1};p.op_Addition=function(b,d){return(new p(b)).add(new p(d))};p.op_Subtraction=function(b,d){return(new p(b)).subtract(new p(d))};p.Int128Mul=function(b,d){return(new p(b)).multiply(new p(d))};p.op_Division=function(b,d){return b.divide(d)};p.prototype.ToDouble=function(){return parseFloat(this.toString())};V=function(b,d){var e;if("undefined"==typeof Object.getOwnPropertyNames)for(e in d.prototype){if("undefined"==typeof b.prototype[e]||b.prototype[e]==
+Object.prototype[e])b.prototype[e]=d.prototype[e]}else for(var f=Object.getOwnPropertyNames(d.prototype),n=0;n<f.length;n++)"undefined"==typeof Object.getOwnPropertyDescriptor(b.prototype,f[n])&&Object.defineProperty(b.prototype,f[n],Object.getOwnPropertyDescriptor(d.prototype,f[n]));for(e in d)"undefined"==typeof b[e]&&(b[e]=d[e]);b.$baseCtor=d};f.Path=function(){return[]};f.Paths=function(){return[]};f.DoublePoint=function(){var b=arguments;this.Y=this.X=0;1==b.length?(this.X=b[0].X,this.Y=b[0].Y):
+2==b.length&&(this.X=b[0],this.Y=b[1])};f.DoublePoint0=function(){this.Y=this.X=0};f.DoublePoint1=function(b){this.X=b.X;this.Y=b.Y};f.DoublePoint2=function(b,d){this.X=b;this.Y=d};f.PolyNode=function(){this.m_Parent=null;this.m_polygon=new f.Path;this.m_endtype=this.m_jointype=this.m_Index=0;this.m_Childs=[];this.IsOpen=!1};f.PolyNode.prototype.IsHoleNode=function(){for(var b=!0,d=this.m_Parent;null!==d;)b=!b,d=d.m_Parent;return b};f.PolyNode.prototype.ChildCount=function(){return this.m_Childs.length};
+f.PolyNode.prototype.Contour=function(){return this.m_polygon};f.PolyNode.prototype.AddChild=function(b){var d=this.m_Childs.length;this.m_Childs.push(b);b.m_Parent=this;b.m_Index=d};f.PolyNode.prototype.GetNext=function(){return 0<this.m_Childs.length?this.m_Childs[0]:this.GetNextSiblingUp()};f.PolyNode.prototype.GetNextSiblingUp=function(){return null===this.m_Parent?null:this.m_Index==this.m_Parent.m_Childs.length-1?this.m_Parent.GetNextSiblingUp():this.m_Parent.m_Childs[this.m_Index+1]};f.PolyNode.prototype.Childs=
+function(){return this.m_Childs};f.PolyNode.prototype.Parent=function(){return this.m_Parent};f.PolyNode.prototype.IsHole=function(){return this.IsHoleNode()};f.PolyTree=function(){this.m_AllPolys=[];f.PolyNode.call(this)};f.PolyTree.prototype.Clear=function(){for(var b=0,d=this.m_AllPolys.length;b<d;b++)this.m_AllPolys[b]=null;this.m_AllPolys.length=0;this.m_Childs.length=0};f.PolyTree.prototype.GetFirst=function(){return 0<this.m_Childs.length?this.m_Childs[0]:null};f.PolyTree.prototype.Total=function(){var b=
+this.m_AllPolys.length;0<b&&this.m_Childs[0]!=this.m_AllPolys[0]&&b--;return b};V(f.PolyTree,f.PolyNode);f.Math_Abs_Int64=f.Math_Abs_Int32=f.Math_Abs_Double=function(b){return Math.abs(b)};f.Math_Max_Int32_Int32=function(b,d){return Math.max(b,d)};f.Cast_Int32=Y||Qa||Xb?function(b){return b|0}:function(b){return~~b};f.Cast_Int64=I?function(b){return-2147483648>b||2147483647<b?0>b?Math.ceil(b):Math.floor(b):~~b}:Jb&&"function"==typeof Number.toInteger?function(b){return Number.toInteger(b)}:xb||ab?
+function(b){return parseInt(b,10)}:Y?function(b){return-2147483648>b||2147483647<b?0>b?Math.ceil(b):Math.floor(b):b|0}:function(b){return 0>b?Math.ceil(b):Math.floor(b)};f.Clear=function(b){b.length=0};f.PI=3.141592653589793;f.PI2=6.283185307179586;f.IntPoint=function(){var b=arguments,d=b.length;this.Y=this.X=0;f.use_xyz?(this.Z=0,3==d?(this.X=b[0],this.Y=b[1],this.Z=b[2]):2==d?(this.X=b[0],this.Y=b[1],this.Z=0):1==d?b[0]instanceof f.DoublePoint?(b=b[0],this.X=f.Clipper.Round(b.X),this.Y=f.Clipper.Round(b.Y),
+this.Z=0):(b=b[0],"undefined"==typeof b.Z&&(b.Z=0),this.X=b.X,this.Y=b.Y,this.Z=b.Z):this.Z=this.Y=this.X=0):2==d?(this.X=b[0],this.Y=b[1]):1==d?b[0]instanceof f.DoublePoint?(b=b[0],this.X=f.Clipper.Round(b.X),this.Y=f.Clipper.Round(b.Y)):(b=b[0],this.X=b.X,this.Y=b.Y):this.Y=this.X=0};f.IntPoint.op_Equality=function(b,d){return b.X==d.X&&b.Y==d.Y};f.IntPoint.op_Inequality=function(b,d){return b.X!=d.X||b.Y!=d.Y};f.use_xyz?(f.IntPoint0=function(){this.Z=this.Y=this.X=0},f.IntPoint1=function(b){this.X=
+b.X;this.Y=b.Y;this.Z=b.Z},f.IntPoint1dp=function(b){this.X=f.Clipper.Round(b.X);this.Y=f.Clipper.Round(b.Y);this.Z=0},f.IntPoint2=function(b,d){this.X=b;this.Y=d;this.Z=0},f.IntPoint3=function(b,d,e){this.X=b;this.Y=d;this.Z=e}):(f.IntPoint0=function(){this.Y=this.X=0},f.IntPoint1=function(b){this.X=b.X;this.Y=b.Y},f.IntPoint1dp=function(b){this.X=f.Clipper.Round(b.X);this.Y=f.Clipper.Round(b.Y)},f.IntPoint2=function(b,d){this.X=b;this.Y=d});f.IntRect=function(){var b=arguments,d=b.length;4==d?(this.left=
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+{ptSubject:0,ptClip:1};f.PolyFillType={pftEvenOdd:0,pftNonZero:1,pftPositive:2,pftNegative:3};f.JoinType={jtSquare:0,jtRound:1,jtMiter:2};f.EndType={etOpenSquare:0,etOpenRound:1,etOpenButt:2,etClosedLine:3,etClosedPolygon:4};f.EdgeSide={esLeft:0,esRight:1};f.Direction={dRightToLeft:0,dLeftToRight:1};f.TEdge=function(){this.Bot=new f.IntPoint;this.Curr=new f.IntPoint;this.Top=new f.IntPoint;this.Delta=new f.IntPoint;this.Dx=0;this.PolyTyp=f.PolyType.ptSubject;this.Side=f.EdgeSide.esLeft;this.OutIdx=
+this.WindCnt2=this.WindCnt=this.WindDelta=0;this.PrevInSEL=this.NextInSEL=this.PrevInAEL=this.NextInAEL=this.NextInLML=this.Prev=this.Next=null};f.IntersectNode=function(){this.Edge2=this.Edge1=null;this.Pt=new f.IntPoint};f.MyIntersectNodeSort=function(){};f.MyIntersectNodeSort.Compare=function(b,d){var e=d.Pt.Y-b.Pt.Y;return 0<e?1:0>e?-1:0};f.LocalMinima=function(){this.Y=0;this.Next=this.RightBound=this.LeftBound=null};f.Scanbeam=function(){this.Y=0;this.Next=null};f.OutRec=function(){this.Idx=
+0;this.IsOpen=this.IsHole=!1;this.PolyNode=this.BottomPt=this.Pts=this.FirstLeft=null};f.OutPt=function(){this.Idx=0;this.Pt=new f.IntPoint;this.Prev=this.Next=null};f.Join=function(){this.OutPt2=this.OutPt1=null;this.OffPt=new f.IntPoint};f.ClipperBase=function(){this.m_CurrentLM=this.m_MinimaList=null;this.m_edges=[];this.PreserveCollinear=this.m_HasOpenPaths=this.m_UseFullRange=!1;this.m_CurrentLM=this.m_MinimaList=null;this.m_HasOpenPaths=this.m_UseFullRange=!1};f.ClipperBase.horizontal=-9007199254740992;
+f.ClipperBase.Skip=-2;f.ClipperBase.Unassigned=-1;f.ClipperBase.tolerance=1E-20;f.ClipperBase.loRange=47453132;f.ClipperBase.hiRange=0xfffffffffffff;f.ClipperBase.near_zero=function(b){return b>-f.ClipperBase.tolerance&&b<f.ClipperBase.tolerance};f.ClipperBase.IsHorizontal=function(b){return 0===b.Delta.Y};f.ClipperBase.prototype.PointIsVertex=function(b,d){var e=d;do{if(f.IntPoint.op_Equality(e.Pt,b))return!0;e=e.Next}while(e!=d);return!1};f.ClipperBase.prototype.PointOnLineSegment=function(b,d,
+e,f){return f?b.X==d.X&&b.Y==d.Y||b.X==e.X&&b.Y==e.Y||b.X>d.X==b.X<e.X&&b.Y>d.Y==b.Y<e.Y&&p.op_Equality(p.Int128Mul(b.X-d.X,e.Y-d.Y),p.Int128Mul(e.X-d.X,b.Y-d.Y)):b.X==d.X&&b.Y==d.Y||b.X==e.X&&b.Y==e.Y||b.X>d.X==b.X<e.X&&b.Y>d.Y==b.Y<e.Y&&(b.X-d.X)*(e.Y-d.Y)==(e.X-d.X)*(b.Y-d.Y)};f.ClipperBase.prototype.PointOnPolygon=function(b,d,e){for(var f=d;;){if(this.PointOnLineSegment(b,f.Pt,f.Next.Pt,e))return!0;f=f.Next;if(f==d)break}return!1};f.ClipperBase.prototype.SlopesEqual=f.ClipperBase.SlopesEqual=
+function(){var b=arguments,d=b.length,e,q,n;if(3==d)return d=b[0],e=b[1],b[2]?p.op_Equality(p.Int128Mul(d.Delta.Y,e.Delta.X),p.Int128Mul(d.Delta.X,e.Delta.Y)):f.Cast_Int64(d.Delta.Y*e.Delta.X)==f.Cast_Int64(d.Delta.X*e.Delta.Y);if(4==d)return d=b[0],e=b[1],q=b[2],b[3]?p.op_Equality(p.Int128Mul(d.Y-e.Y,e.X-q.X),p.Int128Mul(d.X-e.X,e.Y-q.Y)):0===f.Cast_Int64((d.Y-e.Y)*(e.X-q.X))-f.Cast_Int64((d.X-e.X)*(e.Y-q.Y));d=b[0];e=b[1];q=b[2];n=b[3];return b[4]?p.op_Equality(p.Int128Mul(d.Y-e.Y,q.X-n.X),p.Int128Mul(d.X-
+e.X,q.Y-n.Y)):0===f.Cast_Int64((d.Y-e.Y)*(q.X-n.X))-f.Cast_Int64((d.X-e.X)*(q.Y-n.Y))};f.ClipperBase.SlopesEqual3=function(b,d,e){return e?p.op_Equality(p.Int128Mul(b.Delta.Y,d.Delta.X),p.Int128Mul(b.Delta.X,d.Delta.Y)):f.Cast_Int64(b.Delta.Y*d.Delta.X)==f.Cast_Int64(b.Delta.X*d.Delta.Y)};f.ClipperBase.SlopesEqual4=function(b,d,e,q){return q?p.op_Equality(p.Int128Mul(b.Y-d.Y,d.X-e.X),p.Int128Mul(b.X-d.X,d.Y-e.Y)):0===f.Cast_Int64((b.Y-d.Y)*(d.X-e.X))-f.Cast_Int64((b.X-d.X)*(d.Y-e.Y))};f.ClipperBase.SlopesEqual5=
+function(b,d,e,q,n){return n?p.op_Equality(p.Int128Mul(b.Y-d.Y,e.X-q.X),p.Int128Mul(b.X-d.X,e.Y-q.Y)):0===f.Cast_Int64((b.Y-d.Y)*(e.X-q.X))-f.Cast_Int64((b.X-d.X)*(e.Y-q.Y))};f.ClipperBase.prototype.Clear=function(){this.DisposeLocalMinimaList();for(var b=0,d=this.m_edges.length;b<d;++b){for(var e=0,q=this.m_edges[b].length;e<q;++e)this.m_edges[b][e]=null;f.Clear(this.m_edges[b])}f.Clear(this.m_edges);this.m_HasOpenPaths=this.m_UseFullRange=!1};f.ClipperBase.prototype.DisposeLocalMinimaList=function(){for(;null!==
+this.m_MinimaList;){var b=this.m_MinimaList.Next;this.m_MinimaList=null;this.m_MinimaList=b}this.m_CurrentLM=null};f.ClipperBase.prototype.RangeTest=function(b,d){if(d.Value)(b.X>f.ClipperBase.hiRange||b.Y>f.ClipperBase.hiRange||-b.X>f.ClipperBase.hiRange||-b.Y>f.ClipperBase.hiRange)&&f.Error("Coordinate outside allowed range in RangeTest().");else if(b.X>f.ClipperBase.loRange||b.Y>f.ClipperBase.loRange||-b.X>f.ClipperBase.loRange||-b.Y>f.ClipperBase.loRange)d.Value=!0,this.RangeTest(b,d)};f.ClipperBase.prototype.InitEdge=
+function(b,d,e,q){b.Next=d;b.Prev=e;b.Curr.X=q.X;b.Curr.Y=q.Y;f.use_xyz&&(b.Curr.Z=q.Z);b.OutIdx=-1};f.ClipperBase.prototype.InitEdge2=function(b,d){b.Curr.Y>=b.Next.Curr.Y?(b.Bot.X=b.Curr.X,b.Bot.Y=b.Curr.Y,f.use_xyz&&(b.Bot.Z=b.Curr.Z),b.Top.X=b.Next.Curr.X,b.Top.Y=b.Next.Curr.Y,f.use_xyz&&(b.Top.Z=b.Next.Curr.Z)):(b.Top.X=b.Curr.X,b.Top.Y=b.Curr.Y,f.use_xyz&&(b.Top.Z=b.Curr.Z),b.Bot.X=b.Next.Curr.X,b.Bot.Y=b.Next.Curr.Y,f.use_xyz&&(b.Bot.Z=b.Next.Curr.Z));this.SetDx(b);b.PolyTyp=d};f.ClipperBase.prototype.FindNextLocMin=
+function(b){for(var d;;){for(;f.IntPoint.op_Inequality(b.Bot,b.Prev.Bot)||f.IntPoint.op_Equality(b.Curr,b.Top);)b=b.Next;if(b.Dx!=f.ClipperBase.horizontal&&b.Prev.Dx!=f.ClipperBase.horizontal)break;for(;b.Prev.Dx==f.ClipperBase.horizontal;)b=b.Prev;for(d=b;b.Dx==f.ClipperBase.horizontal;)b=b.Next;if(b.Top.Y!=b.Prev.Bot.Y){d.Prev.Bot.X<b.Bot.X&&(b=d);break}}return b};f.ClipperBase.prototype.ProcessBound=function(b,d){var e,q=b,n;if(q.OutIdx==f.ClipperBase.Skip){b=q;if(d){for(;b.Top.Y==b.Next.Bot.Y;)b=
+b.Next;for(;b!=q&&b.Dx==f.ClipperBase.horizontal;)b=b.Prev}else{for(;b.Top.Y==b.Prev.Bot.Y;)b=b.Prev;for(;b!=q&&b.Dx==f.ClipperBase.horizontal;)b=b.Next}b==q?q=d?b.Next:b.Prev:(b=d?q.Next:q.Prev,e=new f.LocalMinima,e.Next=null,e.Y=b.Bot.Y,e.LeftBound=null,e.RightBound=b,b.WindDelta=0,q=this.ProcessBound(b,d),this.InsertLocalMinima(e));return q}b.Dx==f.ClipperBase.horizontal&&(e=d?b.Prev:b.Next,e.OutIdx!=f.ClipperBase.Skip&&(e.Dx==f.ClipperBase.horizontal?e.Bot.X!=b.Bot.X&&e.Top.X!=b.Bot.X&&this.ReverseHorizontal(b):
+e.Bot.X!=b.Bot.X&&this.ReverseHorizontal(b)));e=b;if(d){for(;q.Top.Y==q.Next.Bot.Y&&q.Next.OutIdx!=f.ClipperBase.Skip;)q=q.Next;if(q.Dx==f.ClipperBase.horizontal&&q.Next.OutIdx!=f.ClipperBase.Skip){for(n=q;n.Prev.Dx==f.ClipperBase.horizontal;)n=n.Prev;n.Prev.Top.X==q.Next.Top.X?d||(q=n.Prev):n.Prev.Top.X>q.Next.Top.X&&(q=n.Prev)}for(;b!=q;)b.NextInLML=b.Next,b.Dx==f.ClipperBase.horizontal&&b!=e&&b.Bot.X!=b.Prev.Top.X&&this.ReverseHorizontal(b),b=b.Next;b.Dx==f.ClipperBase.horizontal&&b!=e&&b.Bot.X!=
+b.Prev.Top.X&&this.ReverseHorizontal(b);q=q.Next}else{for(;q.Top.Y==q.Prev.Bot.Y&&q.Prev.OutIdx!=f.ClipperBase.Skip;)q=q.Prev;if(q.Dx==f.ClipperBase.horizontal&&q.Prev.OutIdx!=f.ClipperBase.Skip){for(n=q;n.Next.Dx==f.ClipperBase.horizontal;)n=n.Next;n.Next.Top.X==q.Prev.Top.X?d||(q=n.Next):n.Next.Top.X>q.Prev.Top.X&&(q=n.Next)}for(;b!=q;)b.NextInLML=b.Prev,b.Dx==f.ClipperBase.horizontal&&b!=e&&b.Bot.X!=b.Next.Top.X&&this.ReverseHorizontal(b),b=b.Prev;b.Dx==f.ClipperBase.horizontal&&b!=e&&b.Bot.X!=
+b.Next.Top.X&&this.ReverseHorizontal(b);q=q.Prev}return q};f.ClipperBase.prototype.AddPath=function(b,d,e){f.use_lines?e||d!=f.PolyType.ptClip||f.Error("AddPath: Open paths must be subject."):e||f.Error("AddPath: Open paths have been disabled.");var q=b.length-1;if(e)for(;0<q&&f.IntPoint.op_Equality(b[q],b[0]);)--q;for(;0<q&&f.IntPoint.op_Equality(b[q],b[q-1]);)--q;if(e&&2>q||!e&&1>q)return!1;for(var n=[],k=0;k<=q;k++)n.push(new f.TEdge);var v=!0;n[1].Curr.X=b[1].X;n[1].Curr.Y=b[1].Y;f.use_xyz&&(n[1].Curr.Z=
+b[1].Z);var C={Value:this.m_UseFullRange};this.RangeTest(b[0],C);this.m_UseFullRange=C.Value;C.Value=this.m_UseFullRange;this.RangeTest(b[q],C);this.m_UseFullRange=C.Value;this.InitEdge(n[0],n[1],n[q],b[0]);this.InitEdge(n[q],n[0],n[q-1],b[q]);for(k=q-1;1<=k;--k)C.Value=this.m_UseFullRange,this.RangeTest(b[k],C),this.m_UseFullRange=C.Value,this.InitEdge(n[k],n[k+1],n[k-1],b[k]);for(k=b=q=n[0];;)if(b.Curr!=b.Next.Curr||!e&&b.Next==q){if(b.Prev==b.Next)break;else if(e&&f.ClipperBase.SlopesEqual(b.Prev.Curr,
+b.Curr,b.Next.Curr,this.m_UseFullRange)&&(!this.PreserveCollinear||!this.Pt2IsBetweenPt1AndPt3(b.Prev.Curr,b.Curr,b.Next.Curr))){b==q&&(q=b.Next);b=this.RemoveEdge(b);k=b=b.Prev;continue}b=b.Next;if(b==k||!e&&b.Next==q)break}else{if(b==b.Next)break;b==q&&(q=b.Next);k=b=this.RemoveEdge(b)}if(!e&&b==b.Next||e&&b.Prev==b.Next)return!1;e||(this.m_HasOpenPaths=!0,q.Prev.OutIdx=f.ClipperBase.Skip);b=q;do this.InitEdge2(b,d),b=b.Next,v&&b.Curr.Y!=q.Curr.Y&&(v=!1);while(b!=q);if(v){if(e)return!1;b.Prev.OutIdx=
+f.ClipperBase.Skip;b.Prev.Bot.X<b.Prev.Top.X&&this.ReverseHorizontal(b.Prev);d=new f.LocalMinima;d.Next=null;d.Y=b.Bot.Y;d.LeftBound=null;d.RightBound=b;d.RightBound.Side=f.EdgeSide.esRight;for(d.RightBound.WindDelta=0;b.Next.OutIdx!=f.ClipperBase.Skip;)b.NextInLML=b.Next,b.Bot.X!=b.Prev.Top.X&&this.ReverseHorizontal(b),b=b.Next;this.InsertLocalMinima(d);this.m_edges.push(n);return!0}this.m_edges.push(n);v=null;for(f.IntPoint.op_Equality(b.Prev.Bot,b.Prev.Top)&&(b=b.Next);;){b=this.FindNextLocMin(b);
+if(b==v)break;else null==v&&(v=b);d=new f.LocalMinima;d.Next=null;d.Y=b.Bot.Y;b.Dx<b.Prev.Dx?(d.LeftBound=b.Prev,d.RightBound=b,n=!1):(d.LeftBound=b,d.RightBound=b.Prev,n=!0);d.LeftBound.Side=f.EdgeSide.esLeft;d.RightBound.Side=f.EdgeSide.esRight;d.LeftBound.WindDelta=e?d.LeftBound.Next==d.RightBound?-1:1:0;d.RightBound.WindDelta=-d.LeftBound.WindDelta;b=this.ProcessBound(d.LeftBound,n);b.OutIdx==f.ClipperBase.Skip&&(b=this.ProcessBound(b,n));q=this.ProcessBound(d.RightBound,!n);q.OutIdx==f.ClipperBase.Skip&&
+(q=this.ProcessBound(q,!n));d.LeftBound.OutIdx==f.ClipperBase.Skip?d.LeftBound=null:d.RightBound.OutIdx==f.ClipperBase.Skip&&(d.RightBound=null);this.InsertLocalMinima(d);n||(b=q)}return!0};f.ClipperBase.prototype.AddPaths=function(b,d,e){for(var f=!1,n=0,k=b.length;n<k;++n)this.AddPath(b[n],d,e)&&(f=!0);return f};f.ClipperBase.prototype.Pt2IsBetweenPt1AndPt3=function(b,d,e){return f.IntPoint.op_Equality(b,e)||f.IntPoint.op_Equality(b,d)||f.IntPoint.op_Equality(e,d)?!1:b.X!=e.X?d.X>b.X==d.X<e.X:d.Y>
+b.Y==d.Y<e.Y};f.ClipperBase.prototype.RemoveEdge=function(b){b.Prev.Next=b.Next;b.Next.Prev=b.Prev;var d=b.Next;b.Prev=null;return d};f.ClipperBase.prototype.SetDx=function(b){b.Delta.X=b.Top.X-b.Bot.X;b.Delta.Y=b.Top.Y-b.Bot.Y;b.Dx=0===b.Delta.Y?f.ClipperBase.horizontal:b.Delta.X/b.Delta.Y};f.ClipperBase.prototype.InsertLocalMinima=function(b){if(null===this.m_MinimaList)this.m_MinimaList=b;else if(b.Y>=this.m_MinimaList.Y)b.Next=this.m_MinimaList,this.m_MinimaList=b;else{for(var d=this.m_MinimaList;null!==
+d.Next&&b.Y<d.Next.Y;)d=d.Next;b.Next=d.Next;d.Next=b}};f.ClipperBase.prototype.PopLocalMinima=function(){null!==this.m_CurrentLM&&(this.m_CurrentLM=this.m_CurrentLM.Next)};f.ClipperBase.prototype.ReverseHorizontal=function(b){var d=b.Top.X;b.Top.X=b.Bot.X;b.Bot.X=d;f.use_xyz&&(d=b.Top.Z,b.Top.Z=b.Bot.Z,b.Bot.Z=d)};f.ClipperBase.prototype.Reset=function(){this.m_CurrentLM=this.m_MinimaList;if(null!=this.m_CurrentLM)for(var b=this.m_MinimaList;null!=b;){var d=b.LeftBound;null!=d&&(d.Curr.X=d.Bot.X,
+d.Curr.Y=d.Bot.Y,f.use_xyz&&(d.Curr.Z=d.Bot.Z),d.Side=f.EdgeSide.esLeft,d.OutIdx=f.ClipperBase.Unassigned);d=b.RightBound;null!=d&&(d.Curr.X=d.Bot.X,d.Curr.Y=d.Bot.Y,f.use_xyz&&(d.Curr.Z=d.Bot.Z),d.Side=f.EdgeSide.esRight,d.OutIdx=f.ClipperBase.Unassigned);b=b.Next}};f.Clipper=function(b){"undefined"==typeof b&&(b=0);this.m_PolyOuts=null;this.m_ClipType=f.ClipType.ctIntersection;this.m_IntersectNodeComparer=this.m_IntersectList=this.m_SortedEdges=this.m_ActiveEdges=this.m_Scanbeam=null;this.m_ExecuteLocked=
+!1;this.m_SubjFillType=this.m_ClipFillType=f.PolyFillType.pftEvenOdd;this.m_GhostJoins=this.m_Joins=null;this.StrictlySimple=this.ReverseSolution=this.m_UsingPolyTree=!1;f.ClipperBase.call(this);this.m_SortedEdges=this.m_ActiveEdges=this.m_Scanbeam=null;this.m_IntersectList=[];this.m_IntersectNodeComparer=f.MyIntersectNodeSort.Compare;this.m_UsingPolyTree=this.m_ExecuteLocked=!1;this.m_PolyOuts=[];this.m_Joins=[];this.m_GhostJoins=[];this.ReverseSolution=0!==(1&b);this.StrictlySimple=0!==(2&b);this.PreserveCollinear=
+0!==(4&b);f.use_xyz&&(this.ZFillFunction=null)};f.Clipper.ioReverseSolution=1;f.Clipper.ioStrictlySimple=2;f.Clipper.ioPreserveCollinear=4;f.Clipper.prototype.Clear=function(){0!==this.m_edges.length&&(this.DisposeAllPolyPts(),f.ClipperBase.prototype.Clear.call(this))};f.Clipper.prototype.DisposeScanbeamList=function(){for(;null!==this.m_Scanbeam;){var b=this.m_Scanbeam.Next;this.m_Scanbeam=null;this.m_Scanbeam=b}};f.Clipper.prototype.Reset=function(){f.ClipperBase.prototype.Reset.call(this);this.m_SortedEdges=
+this.m_ActiveEdges=this.m_Scanbeam=null;for(var b=this.m_MinimaList;null!==b;)this.InsertScanbeam(b.Y),b=b.Next};f.Clipper.prototype.InsertScanbeam=function(b){if(null===this.m_Scanbeam)this.m_Scanbeam=new f.Scanbeam,this.m_Scanbeam.Next=null,this.m_Scanbeam.Y=b;else if(b>this.m_Scanbeam.Y){var d=new f.Scanbeam;d.Y=b;d.Next=this.m_Scanbeam;this.m_Scanbeam=d}else{for(var e=this.m_Scanbeam;null!==e.Next&&b<=e.Next.Y;)e=e.Next;b!=e.Y&&(d=new f.Scanbeam,d.Y=b,d.Next=e.Next,e.Next=d)}};f.Clipper.prototype.Execute=
+function(){var b=arguments,d=b.length,e=b[1]instanceof f.PolyTree;if(4!=d||e){if(4==d&&e){var d=b[0],q=b[1],e=b[2],b=b[3];if(this.m_ExecuteLocked)return!1;this.m_ExecuteLocked=!0;this.m_SubjFillType=e;this.m_ClipFillType=b;this.m_ClipType=d;this.m_UsingPolyTree=!0;try{(n=this.ExecuteInternal())&&this.BuildResult2(q)}finally{this.DisposeAllPolyPts(),this.m_ExecuteLocked=!1}return n}if(2==d&&!e||2==d&&e)return d=b[0],q=b[1],this.Execute(d,q,f.PolyFillType.pftEvenOdd,f.PolyFillType.pftEvenOdd)}else{d=
+b[0];q=b[1];e=b[2];b=b[3];if(this.m_ExecuteLocked)return!1;this.m_HasOpenPaths&&f.Error("Error: PolyTree struct is need for open path clipping.");this.m_ExecuteLocked=!0;f.Clear(q);this.m_SubjFillType=e;this.m_ClipFillType=b;this.m_ClipType=d;this.m_UsingPolyTree=!1;try{var n=this.ExecuteInternal();n&&this.BuildResult(q)}finally{this.DisposeAllPolyPts(),this.m_ExecuteLocked=!1}return n}};f.Clipper.prototype.FixHoleLinkage=function(b){if(null!==b.FirstLeft&&(b.IsHole==b.FirstLeft.IsHole||null===b.FirstLeft.Pts)){for(var d=
+b.FirstLeft;null!==d&&(d.IsHole==b.IsHole||null===d.Pts);)d=d.FirstLeft;b.FirstLeft=d}};f.Clipper.prototype.ExecuteInternal=function(){try{this.Reset();if(null===this.m_CurrentLM)return!1;var b=this.PopScanbeam();do{this.InsertLocalMinimaIntoAEL(b);f.Clear(this.m_GhostJoins);this.ProcessHorizontals(!1);if(null===this.m_Scanbeam)break;var d=this.PopScanbeam();if(!this.ProcessIntersections(d))return!1;this.ProcessEdgesAtTopOfScanbeam(d);b=d}while(null!==this.m_Scanbeam||null!==this.m_CurrentLM);for(var b=
+0,e=this.m_PolyOuts.length;b<e;b++){var q=this.m_PolyOuts[b];null===q.Pts||q.IsOpen||(q.IsHole^this.ReverseSolution)==0<this.Area(q)&&this.ReversePolyPtLinks(q.Pts)}this.JoinCommonEdges();b=0;for(e=this.m_PolyOuts.length;b<e;b++)q=this.m_PolyOuts[b],null===q.Pts||q.IsOpen||this.FixupOutPolygon(q);this.StrictlySimple&&this.DoSimplePolygons();return!0}finally{f.Clear(this.m_Joins),f.Clear(this.m_GhostJoins)}};f.Clipper.prototype.PopScanbeam=function(){var b=this.m_Scanbeam.Y;this.m_Scanbeam=this.m_Scanbeam.Next;
+return b};f.Clipper.prototype.DisposeAllPolyPts=function(){for(var b=0,d=this.m_PolyOuts.length;b<d;++b)this.DisposeOutRec(b);f.Clear(this.m_PolyOuts)};f.Clipper.prototype.DisposeOutRec=function(b){this.m_PolyOuts[b].Pts=null;this.m_PolyOuts[b]=null};f.Clipper.prototype.AddJoin=function(b,d,e){var q=new f.Join;q.OutPt1=b;q.OutPt2=d;q.OffPt.X=e.X;q.OffPt.Y=e.Y;f.use_xyz&&(q.OffPt.Z=e.Z);this.m_Joins.push(q)};f.Clipper.prototype.AddGhostJoin=function(b,d){var e=new f.Join;e.OutPt1=b;e.OffPt.X=d.X;e.OffPt.Y=
+d.Y;f.use_xyz&&(e.OffPt.Z=d.Z);this.m_GhostJoins.push(e)};f.Clipper.prototype.SetZ=function(b,d,e){null!==this.ZFillFunction&&0==b.Z&&null!==this.ZFillFunction&&(f.IntPoint.op_Equality(b,d.Bot)?b.Z=d.Bot.Z:f.IntPoint.op_Equality(b,d.Top)?b.Z=d.Top.Z:f.IntPoint.op_Equality(b,e.Bot)?b.Z=e.Bot.Z:f.IntPoint.op_Equality(b,e.Top)?b.Z=e.Top.Z:this.ZFillFunction(d.Bot,d.Top,e.Bot,e.Top,b))};f.Clipper.prototype.InsertLocalMinimaIntoAEL=function(b){for(;null!==this.m_CurrentLM&&this.m_CurrentLM.Y==b;){var d=
+this.m_CurrentLM.LeftBound,e=this.m_CurrentLM.RightBound;this.PopLocalMinima();var q=null;null===d?(this.InsertEdgeIntoAEL(e,null),this.SetWindingCount(e),this.IsContributing(e)&&(q=this.AddOutPt(e,e.Bot))):(null==e?(this.InsertEdgeIntoAEL(d,null),this.SetWindingCount(d),this.IsContributing(d)&&(q=this.AddOutPt(d,d.Bot))):(this.InsertEdgeIntoAEL(d,null),this.InsertEdgeIntoAEL(e,d),this.SetWindingCount(d),e.WindCnt=d.WindCnt,e.WindCnt2=d.WindCnt2,this.IsContributing(d)&&(q=this.AddLocalMinPoly(d,e,
+d.Bot))),this.InsertScanbeam(d.Top.Y));null!=e&&(f.ClipperBase.IsHorizontal(e)?this.AddEdgeToSEL(e):this.InsertScanbeam(e.Top.Y));if(null!=d&&null!=e){if(null!==q&&f.ClipperBase.IsHorizontal(e)&&0<this.m_GhostJoins.length&&0!==e.WindDelta)for(var n=0,k=this.m_GhostJoins.length;n<k;n++){var v=this.m_GhostJoins[n];this.HorzSegmentsOverlap(v.OutPt1.Pt.X,v.OffPt.X,e.Bot.X,e.Top.X)&&this.AddJoin(v.OutPt1,q,v.OffPt)}0<=d.OutIdx&&null!==d.PrevInAEL&&d.PrevInAEL.Curr.X==d.Bot.X&&0<=d.PrevInAEL.OutIdx&&f.ClipperBase.SlopesEqual(d.PrevInAEL,
+d,this.m_UseFullRange)&&0!==d.WindDelta&&0!==d.PrevInAEL.WindDelta&&(n=this.AddOutPt(d.PrevInAEL,d.Bot),this.AddJoin(q,n,d.Top));if(d.NextInAEL!=e&&(0<=e.OutIdx&&0<=e.PrevInAEL.OutIdx&&f.ClipperBase.SlopesEqual(e.PrevInAEL,e,this.m_UseFullRange)&&0!==e.WindDelta&&0!==e.PrevInAEL.WindDelta&&(n=this.AddOutPt(e.PrevInAEL,e.Bot),this.AddJoin(q,n,e.Top)),q=d.NextInAEL,null!==q))for(;q!=e;)this.IntersectEdges(e,q,d.Curr,!1),q=q.NextInAEL}}};f.Clipper.prototype.InsertEdgeIntoAEL=function(b,d){if(null===
+this.m_ActiveEdges)b.PrevInAEL=null,b.NextInAEL=null,this.m_ActiveEdges=b;else if(null===d&&this.E2InsertsBeforeE1(this.m_ActiveEdges,b))b.PrevInAEL=null,b.NextInAEL=this.m_ActiveEdges,this.m_ActiveEdges=this.m_ActiveEdges.PrevInAEL=b;else{for(null===d&&(d=this.m_ActiveEdges);null!==d.NextInAEL&&!this.E2InsertsBeforeE1(d.NextInAEL,b);)d=d.NextInAEL;b.NextInAEL=d.NextInAEL;null!==d.NextInAEL&&(d.NextInAEL.PrevInAEL=b);b.PrevInAEL=d;d.NextInAEL=b}};f.Clipper.prototype.E2InsertsBeforeE1=function(b,d){return d.Curr.X==
+b.Curr.X?d.Top.Y>b.Top.Y?d.Top.X<f.Clipper.TopX(b,d.Top.Y):b.Top.X>f.Clipper.TopX(d,b.Top.Y):d.Curr.X<b.Curr.X};f.Clipper.prototype.IsEvenOddFillType=function(b){return b.PolyTyp==f.PolyType.ptSubject?this.m_SubjFillType==f.PolyFillType.pftEvenOdd:this.m_ClipFillType==f.PolyFillType.pftEvenOdd};f.Clipper.prototype.IsEvenOddAltFillType=function(b){return b.PolyTyp==f.PolyType.ptSubject?this.m_ClipFillType==f.PolyFillType.pftEvenOdd:this.m_SubjFillType==f.PolyFillType.pftEvenOdd};f.Clipper.prototype.IsContributing=
+function(b){var d,e;b.PolyTyp==f.PolyType.ptSubject?(d=this.m_SubjFillType,e=this.m_ClipFillType):(d=this.m_ClipFillType,e=this.m_SubjFillType);switch(d){case f.PolyFillType.pftEvenOdd:if(0===b.WindDelta&&1!=b.WindCnt)return!1;break;case f.PolyFillType.pftNonZero:if(1!=Math.abs(b.WindCnt))return!1;break;case f.PolyFillType.pftPositive:if(1!=b.WindCnt)return!1;break;default:if(-1!=b.WindCnt)return!1}switch(this.m_ClipType){case f.ClipType.ctIntersection:switch(e){case f.PolyFillType.pftEvenOdd:case f.PolyFillType.pftNonZero:return 0!==
+b.WindCnt2;case f.PolyFillType.pftPositive:return 0<b.WindCnt2;default:return 0>b.WindCnt2}case f.ClipType.ctUnion:switch(e){case f.PolyFillType.pftEvenOdd:case f.PolyFillType.pftNonZero:return 0===b.WindCnt2;case f.PolyFillType.pftPositive:return 0>=b.WindCnt2;default:return 0<=b.WindCnt2}case f.ClipType.ctDifference:if(b.PolyTyp==f.PolyType.ptSubject)switch(e){case f.PolyFillType.pftEvenOdd:case f.PolyFillType.pftNonZero:return 0===b.WindCnt2;case f.PolyFillType.pftPositive:return 0>=b.WindCnt2;
+default:return 0<=b.WindCnt2}else switch(e){case f.PolyFillType.pftEvenOdd:case f.PolyFillType.pftNonZero:return 0!==b.WindCnt2;case f.PolyFillType.pftPositive:return 0<b.WindCnt2;default:return 0>b.WindCnt2}case f.ClipType.ctXor:if(0===b.WindDelta)switch(e){case f.PolyFillType.pftEvenOdd:case f.PolyFillType.pftNonZero:return 0===b.WindCnt2;case f.PolyFillType.pftPositive:return 0>=b.WindCnt2;default:return 0<=b.WindCnt2}}return!0};f.Clipper.prototype.SetWindingCount=function(b){for(var d=b.PrevInAEL;null!==
+d&&(d.PolyTyp!=b.PolyTyp||0===d.WindDelta);)d=d.PrevInAEL;if(null===d)b.WindCnt=0===b.WindDelta?1:b.WindDelta,b.WindCnt2=0,d=this.m_ActiveEdges;else{if(0===b.WindDelta&&this.m_ClipType!=f.ClipType.ctUnion)b.WindCnt=1;else if(this.IsEvenOddFillType(b))if(0===b.WindDelta){for(var e=!0,q=d.PrevInAEL;null!==q;)q.PolyTyp==d.PolyTyp&&0!==q.WindDelta&&(e=!e),q=q.PrevInAEL;b.WindCnt=e?0:1}else b.WindCnt=b.WindDelta;else b.WindCnt=0>d.WindCnt*d.WindDelta?1<Math.abs(d.WindCnt)?0>d.WindDelta*b.WindDelta?d.WindCnt:
+d.WindCnt+b.WindDelta:0===b.WindDelta?1:b.WindDelta:0===b.WindDelta?0>d.WindCnt?d.WindCnt-1:d.WindCnt+1:0>d.WindDelta*b.WindDelta?d.WindCnt:d.WindCnt+b.WindDelta;b.WindCnt2=d.WindCnt2;d=d.NextInAEL}if(this.IsEvenOddAltFillType(b))for(;d!=b;)0!==d.WindDelta&&(b.WindCnt2=0===b.WindCnt2?1:0),d=d.NextInAEL;else for(;d!=b;)b.WindCnt2+=d.WindDelta,d=d.NextInAEL};f.Clipper.prototype.AddEdgeToSEL=function(b){null===this.m_SortedEdges?(this.m_SortedEdges=b,b.PrevInSEL=null,b.NextInSEL=null):(b.NextInSEL=this.m_SortedEdges,
+b.PrevInSEL=null,this.m_SortedEdges=this.m_SortedEdges.PrevInSEL=b)};f.Clipper.prototype.CopyAELToSEL=function(){var b=this.m_ActiveEdges;for(this.m_SortedEdges=b;null!==b;)b.PrevInSEL=b.PrevInAEL,b=b.NextInSEL=b.NextInAEL};f.Clipper.prototype.SwapPositionsInAEL=function(b,d){if(b.NextInAEL!=b.PrevInAEL&&d.NextInAEL!=d.PrevInAEL){if(b.NextInAEL==d){var e=d.NextInAEL;null!==e&&(e.PrevInAEL=b);var f=b.PrevInAEL;null!==f&&(f.NextInAEL=d);d.PrevInAEL=f;d.NextInAEL=b;b.PrevInAEL=d;b.NextInAEL=e}else d.NextInAEL==
+b?(e=b.NextInAEL,null!==e&&(e.PrevInAEL=d),f=d.PrevInAEL,null!==f&&(f.NextInAEL=b),b.PrevInAEL=f,b.NextInAEL=d,d.PrevInAEL=b,d.NextInAEL=e):(e=b.NextInAEL,f=b.PrevInAEL,b.NextInAEL=d.NextInAEL,null!==b.NextInAEL&&(b.NextInAEL.PrevInAEL=b),b.PrevInAEL=d.PrevInAEL,null!==b.PrevInAEL&&(b.PrevInAEL.NextInAEL=b),d.NextInAEL=e,null!==d.NextInAEL&&(d.NextInAEL.PrevInAEL=d),d.PrevInAEL=f,null!==d.PrevInAEL&&(d.PrevInAEL.NextInAEL=d));null===b.PrevInAEL?this.m_ActiveEdges=b:null===d.PrevInAEL&&(this.m_ActiveEdges=
+d)}};f.Clipper.prototype.SwapPositionsInSEL=function(b,d){if(null!==b.NextInSEL||null!==b.PrevInSEL)if(null!==d.NextInSEL||null!==d.PrevInSEL){if(b.NextInSEL==d){var e=d.NextInSEL;null!==e&&(e.PrevInSEL=b);var f=b.PrevInSEL;null!==f&&(f.NextInSEL=d);d.PrevInSEL=f;d.NextInSEL=b;b.PrevInSEL=d;b.NextInSEL=e}else d.NextInSEL==b?(e=b.NextInSEL,null!==e&&(e.PrevInSEL=d),f=d.PrevInSEL,null!==f&&(f.NextInSEL=b),b.PrevInSEL=f,b.NextInSEL=d,d.PrevInSEL=b,d.NextInSEL=e):(e=b.NextInSEL,f=b.PrevInSEL,b.NextInSEL=
+d.NextInSEL,null!==b.NextInSEL&&(b.NextInSEL.PrevInSEL=b),b.PrevInSEL=d.PrevInSEL,null!==b.PrevInSEL&&(b.PrevInSEL.NextInSEL=b),d.NextInSEL=e,null!==d.NextInSEL&&(d.NextInSEL.PrevInSEL=d),d.PrevInSEL=f,null!==d.PrevInSEL&&(d.PrevInSEL.NextInSEL=d));null===b.PrevInSEL?this.m_SortedEdges=b:null===d.PrevInSEL&&(this.m_SortedEdges=d)}};f.Clipper.prototype.AddLocalMaxPoly=function(b,d,e){this.AddOutPt(b,e);0==d.WindDelta&&this.AddOutPt(d,e);b.OutIdx==d.OutIdx?(b.OutIdx=-1,d.OutIdx=-1):b.OutIdx<d.OutIdx?
+this.AppendPolygon(b,d):this.AppendPolygon(d,b)};f.Clipper.prototype.AddLocalMinPoly=function(b,d,e){var q,n;f.ClipperBase.IsHorizontal(d)||b.Dx>d.Dx?(q=this.AddOutPt(b,e),d.OutIdx=b.OutIdx,b.Side=f.EdgeSide.esLeft,d.Side=f.EdgeSide.esRight,n=b,b=n.PrevInAEL==d?d.PrevInAEL:n.PrevInAEL):(q=this.AddOutPt(d,e),b.OutIdx=d.OutIdx,b.Side=f.EdgeSide.esRight,d.Side=f.EdgeSide.esLeft,n=d,b=n.PrevInAEL==b?b.PrevInAEL:n.PrevInAEL);null!==b&&0<=b.OutIdx&&f.Clipper.TopX(b,e.Y)==f.Clipper.TopX(n,e.Y)&&f.ClipperBase.SlopesEqual(n,
+b,this.m_UseFullRange)&&0!==n.WindDelta&&0!==b.WindDelta&&(e=this.AddOutPt(b,e),this.AddJoin(q,e,n.Top));return q};f.Clipper.prototype.CreateOutRec=function(){var b=new f.OutRec;b.Idx=-1;b.IsHole=!1;b.IsOpen=!1;b.FirstLeft=null;b.Pts=null;b.BottomPt=null;b.PolyNode=null;this.m_PolyOuts.push(b);b.Idx=this.m_PolyOuts.length-1;return b};f.Clipper.prototype.AddOutPt=function(b,d){var e=b.Side==f.EdgeSide.esLeft;if(0>b.OutIdx){var q=this.CreateOutRec();q.IsOpen=0===b.WindDelta;var n=new f.OutPt;q.Pts=
+n;n.Idx=q.Idx;n.Pt.X=d.X;n.Pt.Y=d.Y;f.use_xyz&&(n.Pt.Z=d.Z);n.Next=n;n.Prev=n;q.IsOpen||this.SetHoleState(b,q);b.OutIdx=q.Idx}else{var q=this.m_PolyOuts[b.OutIdx],k=q.Pts;if(e&&f.IntPoint.op_Equality(d,k.Pt))return k;if(!e&&f.IntPoint.op_Equality(d,k.Prev.Pt))return k.Prev;n=new f.OutPt;n.Idx=q.Idx;n.Pt.X=d.X;n.Pt.Y=d.Y;f.use_xyz&&(n.Pt.Z=d.Z);n.Next=k;n.Prev=k.Prev;n.Prev.Next=n;k.Prev=n;e&&(q.Pts=n)}return n};f.Clipper.prototype.SwapPoints=function(b,d){var e=new f.IntPoint(b.Value);b.Value.X=d.Value.X;
+b.Value.Y=d.Value.Y;f.use_xyz&&(b.Value.Z=d.Value.Z);d.Value.X=e.X;d.Value.Y=e.Y;f.use_xyz&&(d.Value.Z=e.Z)};f.Clipper.prototype.HorzSegmentsOverlap=function(b,d,e,f){var n;b>d&&(n=b,b=d,d=n);e>f&&(n=e,e=f,f=n);return b<f&&e<d};f.Clipper.prototype.SetHoleState=function(b,d){for(var e=!1,f=b.PrevInAEL;null!==f;)0<=f.OutIdx&&0!=f.WindDelta&&(e=!e,null===d.FirstLeft&&(d.FirstLeft=this.m_PolyOuts[f.OutIdx])),f=f.PrevInAEL;e&&(d.IsHole=!0)};f.Clipper.prototype.GetDx=function(b,d){return b.Y==d.Y?f.ClipperBase.horizontal:
+(d.X-b.X)/(d.Y-b.Y)};f.Clipper.prototype.FirstIsBottomPt=function(b,d){for(var e=b.Prev;f.IntPoint.op_Equality(e.Pt,b.Pt)&&e!=b;)e=e.Prev;for(var q=Math.abs(this.GetDx(b.Pt,e.Pt)),e=b.Next;f.IntPoint.op_Equality(e.Pt,b.Pt)&&e!=b;)e=e.Next;for(var n=Math.abs(this.GetDx(b.Pt,e.Pt)),e=d.Prev;f.IntPoint.op_Equality(e.Pt,d.Pt)&&e!=d;)e=e.Prev;for(var k=Math.abs(this.GetDx(d.Pt,e.Pt)),e=d.Next;f.IntPoint.op_Equality(e.Pt,d.Pt)&&e!=d;)e=e.Next;e=Math.abs(this.GetDx(d.Pt,e.Pt));return q>=k&&q>=e||n>=k&&n>=
+e};f.Clipper.prototype.GetBottomPt=function(b){for(var d=null,e=b.Next;e!=b;)e.Pt.Y>b.Pt.Y?(b=e,d=null):e.Pt.Y==b.Pt.Y&&e.Pt.X<=b.Pt.X&&(e.Pt.X<b.Pt.X?(d=null,b=e):e.Next!=b&&e.Prev!=b&&(d=e)),e=e.Next;if(null!==d)for(;d!=e;)for(this.FirstIsBottomPt(e,d)||(b=d),d=d.Next;f.IntPoint.op_Inequality(d.Pt,b.Pt);)d=d.Next;return b};f.Clipper.prototype.GetLowermostRec=function(b,d){null===b.BottomPt&&(b.BottomPt=this.GetBottomPt(b.Pts));null===d.BottomPt&&(d.BottomPt=this.GetBottomPt(d.Pts));var e=b.BottomPt,
+f=d.BottomPt;return e.Pt.Y>f.Pt.Y?b:e.Pt.Y<f.Pt.Y?d:e.Pt.X<f.Pt.X?b:e.Pt.X>f.Pt.X?d:e.Next==e?d:f.Next==f?b:this.FirstIsBottomPt(e,f)?b:d};f.Clipper.prototype.Param1RightOfParam2=function(b,d){do if(b=b.FirstLeft,b==d)return!0;while(null!==b);return!1};f.Clipper.prototype.GetOutRec=function(b){for(b=this.m_PolyOuts[b];b!=this.m_PolyOuts[b.Idx];)b=this.m_PolyOuts[b.Idx];return b};f.Clipper.prototype.AppendPolygon=function(b,d){var e=this.m_PolyOuts[b.OutIdx],q=this.m_PolyOuts[d.OutIdx],n;n=this.Param1RightOfParam2(e,
+q)?q:this.Param1RightOfParam2(q,e)?e:this.GetLowermostRec(e,q);var k=e.Pts,v=k.Prev,C=q.Pts,p=C.Prev;b.Side==f.EdgeSide.esLeft?(d.Side==f.EdgeSide.esLeft?(this.ReversePolyPtLinks(C),C.Next=k,k.Prev=C,v.Next=p,p.Prev=v,e.Pts=p):(p.Next=k,k.Prev=p,C.Prev=v,v.Next=C,e.Pts=C),k=f.EdgeSide.esLeft):(d.Side==f.EdgeSide.esRight?(this.ReversePolyPtLinks(C),v.Next=p,p.Prev=v,C.Next=k,k.Prev=C):(v.Next=C,C.Prev=v,k.Prev=p,p.Next=k),k=f.EdgeSide.esRight);e.BottomPt=null;n==q&&(q.FirstLeft!=e&&(e.FirstLeft=q.FirstLeft),
+e.IsHole=q.IsHole);q.Pts=null;q.BottomPt=null;q.FirstLeft=e;n=b.OutIdx;v=d.OutIdx;b.OutIdx=-1;d.OutIdx=-1;for(C=this.m_ActiveEdges;null!==C;){if(C.OutIdx==v){C.OutIdx=n;C.Side=k;break}C=C.NextInAEL}q.Idx=e.Idx};f.Clipper.prototype.ReversePolyPtLinks=function(b){if(null!==b){var d,e;d=b;do e=d.Next,d.Next=d.Prev,d=d.Prev=e;while(d!=b)}};f.Clipper.SwapSides=function(b,d){var e=b.Side;b.Side=d.Side;d.Side=e};f.Clipper.SwapPolyIndexes=function(b,d){var e=b.OutIdx;b.OutIdx=d.OutIdx;d.OutIdx=e};f.Clipper.prototype.IntersectEdges=
+function(b,d,e){var q=0<=b.OutIdx,n=0<=d.OutIdx;f.use_xyz&&this.SetZ(e,b,d);if(!f.use_lines||0!==b.WindDelta&&0!==d.WindDelta){if(b.PolyTyp==d.PolyTyp)if(this.IsEvenOddFillType(b)){var k=b.WindCnt;b.WindCnt=d.WindCnt;d.WindCnt=k}else b.WindCnt=0===b.WindCnt+d.WindDelta?-b.WindCnt:b.WindCnt+d.WindDelta,d.WindCnt=0===d.WindCnt-b.WindDelta?-d.WindCnt:d.WindCnt-b.WindDelta;else this.IsEvenOddFillType(d)?b.WindCnt2=0===b.WindCnt2?1:0:b.WindCnt2+=d.WindDelta,this.IsEvenOddFillType(b)?d.WindCnt2=0===d.WindCnt2?
+1:0:d.WindCnt2-=b.WindDelta;var v,C,p;b.PolyTyp==f.PolyType.ptSubject?(v=this.m_SubjFillType,p=this.m_ClipFillType):(v=this.m_ClipFillType,p=this.m_SubjFillType);d.PolyTyp==f.PolyType.ptSubject?(C=this.m_SubjFillType,k=this.m_ClipFillType):(C=this.m_ClipFillType,k=this.m_SubjFillType);switch(v){case f.PolyFillType.pftPositive:v=b.WindCnt;break;case f.PolyFillType.pftNegative:v=-b.WindCnt;break;default:v=Math.abs(b.WindCnt)}switch(C){case f.PolyFillType.pftPositive:C=d.WindCnt;break;case f.PolyFillType.pftNegative:C=
+-d.WindCnt;break;default:C=Math.abs(d.WindCnt)}if(q&&n)0!=v&&1!=v||0!=C&&1!=C||b.PolyTyp!=d.PolyTyp&&this.m_ClipType!=f.ClipType.ctXor?this.AddLocalMaxPoly(b,d,e):(this.AddOutPt(b,e),this.AddOutPt(d,e),f.Clipper.SwapSides(b,d),f.Clipper.SwapPolyIndexes(b,d));else if(q){if(0===C||1==C)this.AddOutPt(b,e),f.Clipper.SwapSides(b,d),f.Clipper.SwapPolyIndexes(b,d)}else if(n){if(0===v||1==v)this.AddOutPt(d,e),f.Clipper.SwapSides(b,d),f.Clipper.SwapPolyIndexes(b,d)}else if(!(0!=v&&1!=v||0!=C&&1!=C)){switch(p){case f.PolyFillType.pftPositive:q=
+b.WindCnt2;break;case f.PolyFillType.pftNegative:q=-b.WindCnt2;break;default:q=Math.abs(b.WindCnt2)}switch(k){case f.PolyFillType.pftPositive:n=d.WindCnt2;break;case f.PolyFillType.pftNegative:n=-d.WindCnt2;break;default:n=Math.abs(d.WindCnt2)}if(b.PolyTyp!=d.PolyTyp)this.AddLocalMinPoly(b,d,e);else if(1==v&&1==C)switch(this.m_ClipType){case f.ClipType.ctIntersection:0<q&&0<n&&this.AddLocalMinPoly(b,d,e);break;case f.ClipType.ctUnion:0>=q&&0>=n&&this.AddLocalMinPoly(b,d,e);break;case f.ClipType.ctDifference:(b.PolyTyp==
+f.PolyType.ptClip&&0<q&&0<n||b.PolyTyp==f.PolyType.ptSubject&&0>=q&&0>=n)&&this.AddLocalMinPoly(b,d,e);break;case f.ClipType.ctXor:this.AddLocalMinPoly(b,d,e)}else f.Clipper.SwapSides(b,d)}}else if(0!=b.WindDelta||0!=d.WindDelta)b.PolyTyp==d.PolyTyp&&b.WindDelta!=d.WindDelta&&this.m_ClipType==f.ClipType.ctUnion?0===b.WindDelta?n&&(this.AddOutPt(b,e),q&&(b.OutIdx=-1)):q&&(this.AddOutPt(d,e),n&&(d.OutIdx=-1)):b.PolyTyp!=d.PolyTyp&&(0!==b.WindDelta||1!=Math.abs(d.WindCnt)||this.m_ClipType==f.ClipType.ctUnion&&
+0!==d.WindCnt2?0!==d.WindDelta||1!=Math.abs(b.WindCnt)||this.m_ClipType==f.ClipType.ctUnion&&0!==b.WindCnt2||(this.AddOutPt(d,e),n&&(d.OutIdx=-1)):(this.AddOutPt(b,e),q&&(b.OutIdx=-1)))};f.Clipper.prototype.DeleteFromAEL=function(b){var d=b.PrevInAEL,e=b.NextInAEL;if(null!==d||null!==e||b==this.m_ActiveEdges)null!==d?d.NextInAEL=e:this.m_ActiveEdges=e,null!==e&&(e.PrevInAEL=d),b.NextInAEL=null,b.PrevInAEL=null};f.Clipper.prototype.DeleteFromSEL=function(b){var d=b.PrevInSEL,e=b.NextInSEL;if(null!==
+d||null!==e||b==this.m_SortedEdges)null!==d?d.NextInSEL=e:this.m_SortedEdges=e,null!==e&&(e.PrevInSEL=d),b.NextInSEL=null,b.PrevInSEL=null};f.Clipper.prototype.UpdateEdgeIntoAEL=function(b){null===b.NextInLML&&f.Error("UpdateEdgeIntoAEL: invalid call");var d=b.PrevInAEL,e=b.NextInAEL;b.NextInLML.OutIdx=b.OutIdx;null!==d?d.NextInAEL=b.NextInLML:this.m_ActiveEdges=b.NextInLML;null!==e&&(e.PrevInAEL=b.NextInLML);b.NextInLML.Side=b.Side;b.NextInLML.WindDelta=b.WindDelta;b.NextInLML.WindCnt=b.WindCnt;
+b.NextInLML.WindCnt2=b.WindCnt2;b=b.NextInLML;b.Curr.X=b.Bot.X;b.Curr.Y=b.Bot.Y;f.use_xyz&&(b.Curr.Z=b.Bot.Z);b.PrevInAEL=d;b.NextInAEL=e;f.ClipperBase.IsHorizontal(b)||this.InsertScanbeam(b.Top.Y);return b};f.Clipper.prototype.ProcessHorizontals=function(b){for(var d=this.m_SortedEdges;null!==d;)this.DeleteFromSEL(d),this.ProcessHorizontal(d,b),d=this.m_SortedEdges};f.Clipper.prototype.GetHorzDirection=function(b,d){b.Bot.X<b.Top.X?(d.Left=b.Bot.X,d.Right=b.Top.X,d.Dir=f.Direction.dLeftToRight):
+(d.Left=b.Top.X,d.Right=b.Bot.X,d.Dir=f.Direction.dRightToLeft)};f.Clipper.prototype.ProcessHorizontal=function(b,d){var e={Dir:null,Left:null,Right:null};this.GetHorzDirection(b,e);for(var q=e.Dir,n=e.Left,k=e.Right,v=b,C=null;null!==v.NextInLML&&f.ClipperBase.IsHorizontal(v.NextInLML);)v=v.NextInLML;for(null===v.NextInLML&&(C=this.GetMaximaPair(v));;){for(var p=b==v,F=this.GetNextInAEL(b,q);null!==F&&!(F.Curr.X==b.Top.X&&null!==b.NextInLML&&F.Dx<b.NextInLML.Dx);){e=this.GetNextInAEL(F,q);if(q==
+f.Direction.dLeftToRight&&F.Curr.X<=k||q==f.Direction.dRightToLeft&&F.Curr.X>=n){if(F==C&&p){if(0<=b.OutIdx){q=this.AddOutPt(b,b.Top);for(e=this.m_SortedEdges;null!==e;)0<=e.OutIdx&&this.HorzSegmentsOverlap(b.Bot.X,b.Top.X,e.Bot.X,e.Top.X)&&(n=this.AddOutPt(e,e.Bot),this.AddJoin(n,q,e.Top)),e=e.NextInSEL;this.AddGhostJoin(q,b.Bot);this.AddLocalMaxPoly(b,C,b.Top)}this.DeleteFromAEL(b);this.DeleteFromAEL(C);return}if(q==f.Direction.dLeftToRight){var E=new f.IntPoint(F.Curr.X,b.Curr.Y);this.IntersectEdges(b,
+F,E)}else E=new f.IntPoint(F.Curr.X,b.Curr.Y),this.IntersectEdges(F,b,E);this.SwapPositionsInAEL(b,F)}else if(q==f.Direction.dLeftToRight&&F.Curr.X>=k||q==f.Direction.dRightToLeft&&F.Curr.X<=n)break;F=e}if(null!==b.NextInLML&&f.ClipperBase.IsHorizontal(b.NextInLML))b=this.UpdateEdgeIntoAEL(b),0<=b.OutIdx&&this.AddOutPt(b,b.Bot),e={Dir:q,Left:n,Right:k},this.GetHorzDirection(b,e),q=e.Dir,n=e.Left,k=e.Right;else break}null!==b.NextInLML?0<=b.OutIdx?(q=this.AddOutPt(b,b.Top),d&&this.AddGhostJoin(q,b.Bot),
+b=this.UpdateEdgeIntoAEL(b),0!==b.WindDelta&&(C=b.PrevInAEL,e=b.NextInAEL,null!==C&&C.Curr.X==b.Bot.X&&C.Curr.Y==b.Bot.Y&&0!==C.WindDelta&&0<=C.OutIdx&&C.Curr.Y>C.Top.Y&&f.ClipperBase.SlopesEqual(b,C,this.m_UseFullRange)?(n=this.AddOutPt(C,b.Bot),this.AddJoin(q,n,b.Top)):null!==e&&e.Curr.X==b.Bot.X&&e.Curr.Y==b.Bot.Y&&0!==e.WindDelta&&0<=e.OutIdx&&e.Curr.Y>e.Top.Y&&f.ClipperBase.SlopesEqual(b,e,this.m_UseFullRange)&&(n=this.AddOutPt(e,b.Bot),this.AddJoin(q,n,b.Top)))):this.UpdateEdgeIntoAEL(b):(0<=
+b.OutIdx&&this.AddOutPt(b,b.Top),this.DeleteFromAEL(b))};f.Clipper.prototype.GetNextInAEL=function(b,d){return d==f.Direction.dLeftToRight?b.NextInAEL:b.PrevInAEL};f.Clipper.prototype.IsMinima=function(b){return null!==b&&b.Prev.NextInLML!=b&&b.Next.NextInLML!=b};f.Clipper.prototype.IsMaxima=function(b,d){return null!==b&&b.Top.Y==d&&null===b.NextInLML};f.Clipper.prototype.IsIntermediate=function(b,d){return b.Top.Y==d&&null!==b.NextInLML};f.Clipper.prototype.GetMaximaPair=function(b){var d=null;
+f.IntPoint.op_Equality(b.Next.Top,b.Top)&&null===b.Next.NextInLML?d=b.Next:f.IntPoint.op_Equality(b.Prev.Top,b.Top)&&null===b.Prev.NextInLML&&(d=b.Prev);return null===d||-2!=d.OutIdx&&(d.NextInAEL!=d.PrevInAEL||f.ClipperBase.IsHorizontal(d))?d:null};f.Clipper.prototype.ProcessIntersections=function(b){if(null==this.m_ActiveEdges)return!0;try{this.BuildIntersectList(b);if(0==this.m_IntersectList.length)return!0;if(1==this.m_IntersectList.length||this.FixupIntersectionOrder())this.ProcessIntersectList();
+else return!1}catch(d){this.m_SortedEdges=null,this.m_IntersectList.length=0,f.Error("ProcessIntersections error")}this.m_SortedEdges=null;return!0};f.Clipper.prototype.BuildIntersectList=function(b){if(null!==this.m_ActiveEdges){var d=this.m_ActiveEdges;for(this.m_SortedEdges=d;null!==d;)d.PrevInSEL=d.PrevInAEL,d.NextInSEL=d.NextInAEL,d.Curr.X=f.Clipper.TopX(d,b),d=d.NextInAEL;for(var e=!0;e&&null!==this.m_SortedEdges;){e=!1;for(d=this.m_SortedEdges;null!==d.NextInSEL;){b=d.NextInSEL;var q=new f.IntPoint;
+d.Curr.X>b.Curr.X?(this.IntersectPoint(d,b,q),e=new f.IntersectNode,e.Edge1=d,e.Edge2=b,e.Pt.X=q.X,e.Pt.Y=q.Y,f.use_xyz&&(e.Pt.Z=q.Z),this.m_IntersectList.push(e),this.SwapPositionsInSEL(d,b),e=!0):d=b}if(null!==d.PrevInSEL)d.PrevInSEL.NextInSEL=null;else break}this.m_SortedEdges=null}};f.Clipper.prototype.EdgesAdjacent=function(b){return b.Edge1.NextInSEL==b.Edge2||b.Edge1.PrevInSEL==b.Edge2};f.Clipper.IntersectNodeSort=function(b,d){return d.Pt.Y-b.Pt.Y};f.Clipper.prototype.FixupIntersectionOrder=
+function(){this.m_IntersectList.sort(this.m_IntersectNodeComparer);this.CopyAELToSEL();for(var b=this.m_IntersectList.length,d=0;d<b;d++){if(!this.EdgesAdjacent(this.m_IntersectList[d])){for(var e=d+1;e<b&&!this.EdgesAdjacent(this.m_IntersectList[e]);)e++;if(e==b)return!1;var f=this.m_IntersectList[d];this.m_IntersectList[d]=this.m_IntersectList[e];this.m_IntersectList[e]=f}this.SwapPositionsInSEL(this.m_IntersectList[d].Edge1,this.m_IntersectList[d].Edge2)}return!0};f.Clipper.prototype.ProcessIntersectList=
+function(){for(var b=0,d=this.m_IntersectList.length;b<d;b++){var e=this.m_IntersectList[b];this.IntersectEdges(e.Edge1,e.Edge2,e.Pt);this.SwapPositionsInAEL(e.Edge1,e.Edge2)}this.m_IntersectList.length=0};I=function(b){return 0>b?Math.ceil(b-.5):Math.round(b)};Jb=function(b){return 0>b?Math.ceil(b-.5):Math.floor(b+.5)};Qa=function(b){return 0>b?-Math.round(Math.abs(b)):Math.round(b)};ab=function(b){if(0>b)return b-=.5,-2147483648>b?Math.ceil(b):b|0;b+=.5;return 2147483647<b?Math.floor(b):b|0};f.Clipper.Round=
+Y?I:nb?Qa:Xb?ab:Jb;f.Clipper.TopX=function(b,d){return d==b.Top.Y?b.Top.X:b.Bot.X+f.Clipper.Round(b.Dx*(d-b.Bot.Y))};f.Clipper.prototype.IntersectPoint=function(b,d,e){e.X=0;e.Y=0;var q,n;if(b.Dx==d.Dx)e.Y=b.Curr.Y,e.X=f.Clipper.TopX(b,e.Y);else{if(0===b.Delta.X)e.X=b.Bot.X,f.ClipperBase.IsHorizontal(d)?e.Y=d.Bot.Y:(n=d.Bot.Y-d.Bot.X/d.Dx,e.Y=f.Clipper.Round(e.X/d.Dx+n));else if(0===d.Delta.X)e.X=d.Bot.X,f.ClipperBase.IsHorizontal(b)?e.Y=b.Bot.Y:(q=b.Bot.Y-b.Bot.X/b.Dx,e.Y=f.Clipper.Round(e.X/b.Dx+
+q));else{q=b.Bot.X-b.Bot.Y*b.Dx;n=d.Bot.X-d.Bot.Y*d.Dx;var k=(n-q)/(b.Dx-d.Dx);e.Y=f.Clipper.Round(k);e.X=Math.abs(b.Dx)<Math.abs(d.Dx)?f.Clipper.Round(b.Dx*k+q):f.Clipper.Round(d.Dx*k+n)}if(e.Y<b.Top.Y||e.Y<d.Top.Y){if(b.Top.Y>d.Top.Y)return e.Y=b.Top.Y,e.X=f.Clipper.TopX(d,b.Top.Y),e.X<b.Top.X;e.Y=d.Top.Y;e.X=Math.abs(b.Dx)<Math.abs(d.Dx)?f.Clipper.TopX(b,e.Y):f.Clipper.TopX(d,e.Y)}e.Y>b.Curr.Y&&(e.Y=b.Curr.Y,e.X=Math.abs(b.Dx)>Math.abs(d.Dx)?f.Clipper.TopX(d,e.Y):f.Clipper.TopX(b,e.Y))}};f.Clipper.prototype.ProcessEdgesAtTopOfScanbeam=
+function(b){for(var d=this.m_ActiveEdges;null!==d;){var e=this.IsMaxima(d,b);e&&(e=this.GetMaximaPair(d),e=null===e||!f.ClipperBase.IsHorizontal(e));if(e){var q=d.PrevInAEL;this.DoMaxima(d);d=null===q?this.m_ActiveEdges:q.NextInAEL}else{this.IsIntermediate(d,b)&&f.ClipperBase.IsHorizontal(d.NextInLML)?(d=this.UpdateEdgeIntoAEL(d),0<=d.OutIdx&&this.AddOutPt(d,d.Bot),this.AddEdgeToSEL(d)):(d.Curr.X=f.Clipper.TopX(d,b),d.Curr.Y=b);if(this.StrictlySimple&&(q=d.PrevInAEL,0<=d.OutIdx&&0!==d.WindDelta&&
+null!==q&&0<=q.OutIdx&&q.Curr.X==d.Curr.X&&0!==q.WindDelta)){var n=new f.IntPoint(d.Curr);f.use_xyz&&this.SetZ(n,q,d);e=this.AddOutPt(q,n);q=this.AddOutPt(d,n);this.AddJoin(e,q,n)}d=d.NextInAEL}}this.ProcessHorizontals(!0);for(d=this.m_ActiveEdges;null!==d;)this.IsIntermediate(d,b)&&(e=null,0<=d.OutIdx&&(e=this.AddOutPt(d,d.Top)),d=this.UpdateEdgeIntoAEL(d),q=d.PrevInAEL,n=d.NextInAEL,null!==q&&q.Curr.X==d.Bot.X&&q.Curr.Y==d.Bot.Y&&null!==e&&0<=q.OutIdx&&q.Curr.Y>q.Top.Y&&f.ClipperBase.SlopesEqual(d,
+q,this.m_UseFullRange)&&0!==d.WindDelta&&0!==q.WindDelta?(q=this.AddOutPt(q,d.Bot),this.AddJoin(e,q,d.Top)):null!==n&&n.Curr.X==d.Bot.X&&n.Curr.Y==d.Bot.Y&&null!==e&&0<=n.OutIdx&&n.Curr.Y>n.Top.Y&&f.ClipperBase.SlopesEqual(d,n,this.m_UseFullRange)&&0!==d.WindDelta&&0!==n.WindDelta&&(q=this.AddOutPt(n,d.Bot),this.AddJoin(e,q,d.Top))),d=d.NextInAEL};f.Clipper.prototype.DoMaxima=function(b){var d=this.GetMaximaPair(b);if(null===d)0<=b.OutIdx&&this.AddOutPt(b,b.Top),this.DeleteFromAEL(b);else{for(var e=
+b.NextInAEL;null!==e&&e!=d;)this.IntersectEdges(b,e,b.Top),this.SwapPositionsInAEL(b,e),e=b.NextInAEL;-1==b.OutIdx&&-1==d.OutIdx?(this.DeleteFromAEL(b),this.DeleteFromAEL(d)):0<=b.OutIdx&&0<=d.OutIdx?(0<=b.OutIdx&&this.AddLocalMaxPoly(b,d,b.Top),this.DeleteFromAEL(b),this.DeleteFromAEL(d)):f.use_lines&&0===b.WindDelta?(0<=b.OutIdx&&(this.AddOutPt(b,b.Top),b.OutIdx=-1),this.DeleteFromAEL(b),0<=d.OutIdx&&(this.AddOutPt(d,b.Top),d.OutIdx=-1),this.DeleteFromAEL(d)):f.Error("DoMaxima error")}};f.Clipper.ReversePaths=
+function(b){for(var d=0,e=b.length;d<e;d++)b[d].reverse()};f.Clipper.Orientation=function(b){return 0<=f.Clipper.Area(b)};f.Clipper.prototype.PointCount=function(b){if(null===b)return 0;var d=0,e=b;do d++,e=e.Next;while(e!=b);return d};f.Clipper.prototype.BuildResult=function(b){f.Clear(b);for(var d=0,e=this.m_PolyOuts.length;d<e;d++){var q=this.m_PolyOuts[d];if(null!==q.Pts){var q=q.Pts.Prev,n=this.PointCount(q);if(!(2>n)){for(var k=Array(n),v=0;v<n;v++)k[v]=q.Pt,q=q.Prev;b.push(k)}}}};f.Clipper.prototype.BuildResult2=
+function(b){b.Clear();for(var d=0,e=this.m_PolyOuts.length;d<e;d++){var q=this.m_PolyOuts[d],n=this.PointCount(q.Pts);if(!(q.IsOpen&&2>n||!q.IsOpen&&3>n)){this.FixHoleLinkage(q);var k=new f.PolyNode;b.m_AllPolys.push(k);q.PolyNode=k;k.m_polygon.length=n;for(var q=q.Pts.Prev,v=0;v<n;v++)k.m_polygon[v]=q.Pt,q=q.Prev}}d=0;for(e=this.m_PolyOuts.length;d<e;d++)q=this.m_PolyOuts[d],null!==q.PolyNode&&(q.IsOpen?(q.PolyNode.IsOpen=!0,b.AddChild(q.PolyNode)):null!==q.FirstLeft&&null!=q.FirstLeft.PolyNode?
+q.FirstLeft.PolyNode.AddChild(q.PolyNode):b.AddChild(q.PolyNode))};f.Clipper.prototype.FixupOutPolygon=function(b){var d=null;b.BottomPt=null;for(var e=b.Pts;;){if(e.Prev==e||e.Prev==e.Next){b.Pts=null;return}if(f.IntPoint.op_Equality(e.Pt,e.Next.Pt)||f.IntPoint.op_Equality(e.Pt,e.Prev.Pt)||f.ClipperBase.SlopesEqual(e.Prev.Pt,e.Pt,e.Next.Pt,this.m_UseFullRange)&&(!this.PreserveCollinear||!this.Pt2IsBetweenPt1AndPt3(e.Prev.Pt,e.Pt,e.Next.Pt)))d=null,e.Prev.Next=e.Next,e=e.Next.Prev=e.Prev;else if(e==
+d)break;else null===d&&(d=e),e=e.Next}b.Pts=e};f.Clipper.prototype.DupOutPt=function(b,d){var e=new f.OutPt;e.Pt.X=b.Pt.X;e.Pt.Y=b.Pt.Y;f.use_xyz&&(e.Pt.Z=b.Pt.Z);e.Idx=b.Idx;d?(e.Next=b.Next,e.Prev=b,b.Next.Prev=e,b.Next=e):(e.Prev=b.Prev,e.Next=b,b.Prev.Next=e,b.Prev=e);return e};f.Clipper.prototype.GetOverlap=function(b,d,e,f,n){b<d?e<f?(n.Left=Math.max(b,e),n.Right=Math.min(d,f)):(n.Left=Math.max(b,f),n.Right=Math.min(d,e)):e<f?(n.Left=Math.max(d,e),n.Right=Math.min(b,f)):(n.Left=Math.max(d,f),
+n.Right=Math.min(b,e));return n.Left<n.Right};f.Clipper.prototype.JoinHorz=function(b,d,e,q,n,k){var v=b.Pt.X>d.Pt.X?f.Direction.dRightToLeft:f.Direction.dLeftToRight;q=e.Pt.X>q.Pt.X?f.Direction.dRightToLeft:f.Direction.dLeftToRight;if(v==q)return!1;if(v==f.Direction.dLeftToRight){for(;b.Next.Pt.X<=n.X&&b.Next.Pt.X>=b.Pt.X&&b.Next.Pt.Y==n.Y;)b=b.Next;k&&b.Pt.X!=n.X&&(b=b.Next);d=this.DupOutPt(b,!k);f.IntPoint.op_Inequality(d.Pt,n)&&(b=d,b.Pt.X=n.X,b.Pt.Y=n.Y,f.use_xyz&&(b.Pt.Z=n.Z),d=this.DupOutPt(b,
+!k))}else{for(;b.Next.Pt.X>=n.X&&b.Next.Pt.X<=b.Pt.X&&b.Next.Pt.Y==n.Y;)b=b.Next;k||b.Pt.X==n.X||(b=b.Next);d=this.DupOutPt(b,k);f.IntPoint.op_Inequality(d.Pt,n)&&(b=d,b.Pt.X=n.X,b.Pt.Y=n.Y,f.use_xyz&&(b.Pt.Z=n.Z),d=this.DupOutPt(b,k))}if(q==f.Direction.dLeftToRight){for(;e.Next.Pt.X<=n.X&&e.Next.Pt.X>=e.Pt.X&&e.Next.Pt.Y==n.Y;)e=e.Next;k&&e.Pt.X!=n.X&&(e=e.Next);q=this.DupOutPt(e,!k);f.IntPoint.op_Inequality(q.Pt,n)&&(e=q,e.Pt.X=n.X,e.Pt.Y=n.Y,f.use_xyz&&(e.Pt.Z=n.Z),q=this.DupOutPt(e,!k))}else{for(;e.Next.Pt.X>=
+n.X&&e.Next.Pt.X<=e.Pt.X&&e.Next.Pt.Y==n.Y;)e=e.Next;k||e.Pt.X==n.X||(e=e.Next);q=this.DupOutPt(e,k);f.IntPoint.op_Inequality(q.Pt,n)&&(e=q,e.Pt.X=n.X,e.Pt.Y=n.Y,f.use_xyz&&(e.Pt.Z=n.Z),q=this.DupOutPt(e,k))}v==f.Direction.dLeftToRight==k?(b.Prev=e,e.Next=b,d.Next=q,q.Prev=d):(b.Next=e,e.Prev=b,d.Prev=q,q.Next=d);return!0};f.Clipper.prototype.JoinPoints=function(b,d,e){var q=b.OutPt1,n;new f.OutPt;var k=b.OutPt2,v;new f.OutPt;if((v=b.OutPt1.Pt.Y==b.OffPt.Y)&&f.IntPoint.op_Equality(b.OffPt,b.OutPt1.Pt)&&
+f.IntPoint.op_Equality(b.OffPt,b.OutPt2.Pt)){if(d!=e)return!1;for(n=b.OutPt1.Next;n!=q&&f.IntPoint.op_Equality(n.Pt,b.OffPt);)n=n.Next;n=n.Pt.Y>b.OffPt.Y;for(v=b.OutPt2.Next;v!=k&&f.IntPoint.op_Equality(v.Pt,b.OffPt);)v=v.Next;if(n==v.Pt.Y>b.OffPt.Y)return!1;n?(n=this.DupOutPt(q,!1),v=this.DupOutPt(k,!0),q.Prev=k,k.Next=q,n.Next=v,v.Prev=n):(n=this.DupOutPt(q,!0),v=this.DupOutPt(k,!1),q.Next=k,k.Prev=q,n.Prev=v,v.Next=n);b.OutPt1=q;b.OutPt2=n;return!0}if(v){for(n=q;q.Prev.Pt.Y==q.Pt.Y&&q.Prev!=n&&
+q.Prev!=k;)q=q.Prev;for(;n.Next.Pt.Y==n.Pt.Y&&n.Next!=q&&n.Next!=k;)n=n.Next;if(n.Next==q||n.Next==k)return!1;for(v=k;k.Prev.Pt.Y==k.Pt.Y&&k.Prev!=v&&k.Prev!=n;)k=k.Prev;for(;v.Next.Pt.Y==v.Pt.Y&&v.Next!=k&&v.Next!=q;)v=v.Next;if(v.Next==k||v.Next==q)return!1;e={Left:null,Right:null};if(!this.GetOverlap(q.Pt.X,n.Pt.X,k.Pt.X,v.Pt.X,e))return!1;d=e.Left;var C=e.Right;e=new f.IntPoint;q.Pt.X>=d&&q.Pt.X<=C?(e.X=q.Pt.X,e.Y=q.Pt.Y,f.use_xyz&&(e.Z=q.Pt.Z),d=q.Pt.X>n.Pt.X):k.Pt.X>=d&&k.Pt.X<=C?(e.X=k.Pt.X,
+e.Y=k.Pt.Y,f.use_xyz&&(e.Z=k.Pt.Z),d=k.Pt.X>v.Pt.X):n.Pt.X>=d&&n.Pt.X<=C?(e.X=n.Pt.X,e.Y=n.Pt.Y,f.use_xyz&&(e.Z=n.Pt.Z),d=n.Pt.X>q.Pt.X):(e.X=v.Pt.X,e.Y=v.Pt.Y,f.use_xyz&&(e.Z=v.Pt.Z),d=v.Pt.X>k.Pt.X);b.OutPt1=q;b.OutPt2=k;return this.JoinHorz(q,n,k,v,e,d)}for(n=q.Next;f.IntPoint.op_Equality(n.Pt,q.Pt)&&n!=q;)n=n.Next;if(C=n.Pt.Y>q.Pt.Y||!f.ClipperBase.SlopesEqual(q.Pt,n.Pt,b.OffPt,this.m_UseFullRange)){for(n=q.Prev;f.IntPoint.op_Equality(n.Pt,q.Pt)&&n!=q;)n=n.Prev;if(n.Pt.Y>q.Pt.Y||!f.ClipperBase.SlopesEqual(q.Pt,
+n.Pt,b.OffPt,this.m_UseFullRange))return!1}for(v=k.Next;f.IntPoint.op_Equality(v.Pt,k.Pt)&&v!=k;)v=v.Next;var p=v.Pt.Y>k.Pt.Y||!f.ClipperBase.SlopesEqual(k.Pt,v.Pt,b.OffPt,this.m_UseFullRange);if(p){for(v=k.Prev;f.IntPoint.op_Equality(v.Pt,k.Pt)&&v!=k;)v=v.Prev;if(v.Pt.Y>k.Pt.Y||!f.ClipperBase.SlopesEqual(k.Pt,v.Pt,b.OffPt,this.m_UseFullRange))return!1}if(n==q||v==k||n==v||d==e&&C==p)return!1;C?(n=this.DupOutPt(q,!1),v=this.DupOutPt(k,!0),q.Prev=k,k.Next=q,n.Next=v,v.Prev=n):(n=this.DupOutPt(q,!0),
+v=this.DupOutPt(k,!1),q.Next=k,k.Prev=q,n.Prev=v,v.Next=n);b.OutPt1=q;b.OutPt2=n;return!0};f.Clipper.GetBounds=function(b){for(var d=0,e=b.length;d<e&&0==b[d].length;)d++;if(d==e)return new f.IntRect(0,0,0,0);var q=new f.IntRect;q.left=b[d][0].X;q.right=q.left;q.top=b[d][0].Y;for(q.bottom=q.top;d<e;d++)for(var k=0,N=b[d].length;k<N;k++)b[d][k].X<q.left?q.left=b[d][k].X:b[d][k].X>q.right&&(q.right=b[d][k].X),b[d][k].Y<q.top?q.top=b[d][k].Y:b[d][k].Y>q.bottom&&(q.bottom=b[d][k].Y);return q};f.Clipper.prototype.GetBounds2=
+function(b){var d=b,e=new f.IntRect;e.left=b.Pt.X;e.right=b.Pt.X;e.top=b.Pt.Y;e.bottom=b.Pt.Y;for(b=b.Next;b!=d;)b.Pt.X<e.left&&(e.left=b.Pt.X),b.Pt.X>e.right&&(e.right=b.Pt.X),b.Pt.Y<e.top&&(e.top=b.Pt.Y),b.Pt.Y>e.bottom&&(e.bottom=b.Pt.Y),b=b.Next;return e};f.Clipper.PointInPolygon=function(b,d){var e=0,f=d.length;if(3>f)return 0;for(var k=d[0],N=1;N<=f;++N){var v=N==f?d[0]:d[N];if(v.Y==b.Y&&(v.X==b.X||k.Y==b.Y&&v.X>b.X==k.X<b.X))return-1;if(k.Y<b.Y!=v.Y<b.Y)if(k.X>=b.X)if(v.X>b.X)e=1-e;else{var C=
+(k.X-b.X)*(v.Y-b.Y)-(v.X-b.X)*(k.Y-b.Y);if(0==C)return-1;0<C==v.Y>k.Y&&(e=1-e)}else if(v.X>b.X){C=(k.X-b.X)*(v.Y-b.Y)-(v.X-b.X)*(k.Y-b.Y);if(0==C)return-1;0<C==v.Y>k.Y&&(e=1-e)}k=v}return e};f.Clipper.prototype.PointInPolygon=function(b,d){var e=0,f=d,k=b.X,N=b.Y,v=d.Pt.X,C=d.Pt.Y;do{d=d.Next;var p=d.Pt.X,F=d.Pt.Y;if(F==N&&(p==k||C==N&&p>k==v<k))return-1;if(C<N!=F<N)if(v>=k)if(p>k)e=1-e;else{v=(v-k)*(F-N)-(p-k)*(C-N);if(0==v)return-1;0<v==F>C&&(e=1-e)}else if(p>k){v=(v-k)*(F-N)-(p-k)*(C-N);if(0==
+v)return-1;0<v==F>C&&(e=1-e)}v=p;C=F}while(f!=d);return e};f.Clipper.prototype.Poly2ContainsPoly1=function(b,d){var e=b;do{var f=this.PointInPolygon(e.Pt,d);if(0<=f)return 0<f;e=e.Next}while(e!=b);return!0};f.Clipper.prototype.FixupFirstLefts1=function(b,d){for(var e=0,f=this.m_PolyOuts.length;e<f;e++){var k=this.m_PolyOuts[e];null!=k.Pts&&null!=k.FirstLeft&&this.ParseFirstLeft(k.FirstLeft)==b&&this.Poly2ContainsPoly1(k.Pts,d.Pts)&&(k.FirstLeft=d)}};f.Clipper.prototype.FixupFirstLefts2=function(b,
+d){for(var e=0,f=this.m_PolyOuts,k=f.length,p=f[e];e<k;e++,p=f[e])p.FirstLeft==b&&(p.FirstLeft=d)};f.Clipper.ParseFirstLeft=function(b){for(;null!=b&&null==b.Pts;)b=b.FirstLeft;return b};f.Clipper.prototype.JoinCommonEdges=function(){for(var b=0,d=this.m_Joins.length;b<d;b++){var e=this.m_Joins[b],k=this.GetOutRec(e.OutPt1.Idx),n=this.GetOutRec(e.OutPt2.Idx);if(null!=k.Pts&&null!=n.Pts){var p;p=k==n?k:this.Param1RightOfParam2(k,n)?n:this.Param1RightOfParam2(n,k)?k:this.GetLowermostRec(k,n);if(this.JoinPoints(e,
+k,n))if(k==n){k.Pts=e.OutPt1;k.BottomPt=null;n=this.CreateOutRec();n.Pts=e.OutPt2;this.UpdateOutPtIdxs(n);if(this.m_UsingPolyTree){p=0;for(var v=this.m_PolyOuts.length;p<v-1;p++){var C=this.m_PolyOuts[p];null!=C.Pts&&f.Clipper.ParseFirstLeft(C.FirstLeft)==k&&C.IsHole!=k.IsHole&&this.Poly2ContainsPoly1(C.Pts,e.OutPt2)&&(C.FirstLeft=n)}}this.Poly2ContainsPoly1(n.Pts,k.Pts)?(n.IsHole=!k.IsHole,n.FirstLeft=k,this.m_UsingPolyTree&&this.FixupFirstLefts2(n,k),(n.IsHole^this.ReverseSolution)==0<this.Area(n)&&
+this.ReversePolyPtLinks(n.Pts)):this.Poly2ContainsPoly1(k.Pts,n.Pts)?(n.IsHole=k.IsHole,k.IsHole=!n.IsHole,n.FirstLeft=k.FirstLeft,k.FirstLeft=n,this.m_UsingPolyTree&&this.FixupFirstLefts2(k,n),(k.IsHole^this.ReverseSolution)==0<this.Area(k)&&this.ReversePolyPtLinks(k.Pts)):(n.IsHole=k.IsHole,n.FirstLeft=k.FirstLeft,this.m_UsingPolyTree&&this.FixupFirstLefts1(k,n))}else n.Pts=null,n.BottomPt=null,n.Idx=k.Idx,k.IsHole=p.IsHole,p==n&&(k.FirstLeft=n.FirstLeft),n.FirstLeft=k,this.m_UsingPolyTree&&this.FixupFirstLefts2(n,
+k)}}};f.Clipper.prototype.UpdateOutPtIdxs=function(b){var d=b.Pts;do d.Idx=b.Idx,d=d.Prev;while(d!=b.Pts)};f.Clipper.prototype.DoSimplePolygons=function(){for(var b=0;b<this.m_PolyOuts.length;){var d=this.m_PolyOuts[b++],e=d.Pts;if(null!=e&&!d.IsOpen){do{for(var k=e.Next;k!=d.Pts;){if(f.IntPoint.op_Equality(e.Pt,k.Pt)&&k.Next!=e&&k.Prev!=e){var n=e.Prev,p=k.Prev;e.Prev=p;p.Next=e;k.Prev=n;n.Next=k;d.Pts=e;n=this.CreateOutRec();n.Pts=k;this.UpdateOutPtIdxs(n);this.Poly2ContainsPoly1(n.Pts,d.Pts)?(n.IsHole=
+!d.IsHole,n.FirstLeft=d,this.m_UsingPolyTree&&this.FixupFirstLefts2(n,d)):this.Poly2ContainsPoly1(d.Pts,n.Pts)?(n.IsHole=d.IsHole,d.IsHole=!n.IsHole,n.FirstLeft=d.FirstLeft,d.FirstLeft=n,this.m_UsingPolyTree&&this.FixupFirstLefts2(d,n)):(n.IsHole=d.IsHole,n.FirstLeft=d.FirstLeft,this.m_UsingPolyTree&&this.FixupFirstLefts1(d,n));k=e}k=k.Next}e=e.Next}while(e!=d.Pts)}}};f.Clipper.Area=function(b){var d=b.length;if(3>d)return 0;for(var e=0,f=0,k=d-1;f<d;++f)e+=(b[k].X+b[f].X)*(b[k].Y-b[f].Y),k=f;return.5*
+-e};f.Clipper.prototype.Area=function(b){var d=b.Pts;if(null==d)return 0;var e=0;do e+=(d.Prev.Pt.X+d.Pt.X)*(d.Prev.Pt.Y-d.Pt.Y),d=d.Next;while(d!=b.Pts);return.5*e};f.Clipper.SimplifyPolygon=function(b,d){var e=[],k=new f.Clipper(0);k.StrictlySimple=!0;k.AddPath(b,f.PolyType.ptSubject,!0);k.Execute(f.ClipType.ctUnion,e,d,d);return e};f.Clipper.SimplifyPolygons=function(b,d){"undefined"==typeof d&&(d=f.PolyFillType.pftEvenOdd);var e=[],k=new f.Clipper(0);k.StrictlySimple=!0;k.AddPaths(b,f.PolyType.ptSubject,
+!0);k.Execute(f.ClipType.ctUnion,e,d,d);return e};f.Clipper.DistanceSqrd=function(b,d){var e=b.X-d.X,f=b.Y-d.Y;return e*e+f*f};f.Clipper.DistanceFromLineSqrd=function(b,d,e){var f=d.Y-e.Y;e=e.X-d.X;d=f*d.X+e*d.Y;d=f*b.X+e*b.Y-d;return d*d/(f*f+e*e)};f.Clipper.SlopesNearCollinear=function(b,d,e,k){return Math.abs(b.X-d.X)>Math.abs(b.Y-d.Y)?b.X>d.X==b.X<e.X?f.Clipper.DistanceFromLineSqrd(b,d,e)<k:d.X>b.X==d.X<e.X?f.Clipper.DistanceFromLineSqrd(d,b,e)<k:f.Clipper.DistanceFromLineSqrd(e,b,d)<k:b.Y>d.Y==
+b.Y<e.Y?f.Clipper.DistanceFromLineSqrd(b,d,e)<k:d.Y>b.Y==d.Y<e.Y?f.Clipper.DistanceFromLineSqrd(d,b,e)<k:f.Clipper.DistanceFromLineSqrd(e,b,d)<k};f.Clipper.PointsAreClose=function(b,d,e){var f=b.X-d.X;b=b.Y-d.Y;return f*f+b*b<=e};f.Clipper.ExcludeOp=function(b){var d=b.Prev;d.Next=b.Next;b.Next.Prev=d;d.Idx=0;return d};f.Clipper.CleanPolygon=function(b,d){"undefined"==typeof d&&(d=1.415);var e=b.length;if(0==e)return[];for(var k=Array(e),n=0;n<e;++n)k[n]=new f.OutPt;for(n=0;n<e;++n)k[n].Pt=b[n],k[n].Next=
+k[(n+1)%e],k[n].Next.Prev=k[n],k[n].Idx=0;n=d*d;for(k=k[0];0==k.Idx&&k.Next!=k.Prev;)f.Clipper.PointsAreClose(k.Pt,k.Prev.Pt,n)?(k=f.Clipper.ExcludeOp(k),e--):f.Clipper.PointsAreClose(k.Prev.Pt,k.Next.Pt,n)?(f.Clipper.ExcludeOp(k.Next),k=f.Clipper.ExcludeOp(k),e-=2):f.Clipper.SlopesNearCollinear(k.Prev.Pt,k.Pt,k.Next.Pt,n)?(k=f.Clipper.ExcludeOp(k),e--):(k.Idx=1,k=k.Next);3>e&&(e=0);for(var p=Array(e),n=0;n<e;++n)p[n]=new f.IntPoint(k.Pt),k=k.Next;return p};f.Clipper.CleanPolygons=function(b,d){for(var e=
+Array(b.length),k=0,n=b.length;k<n;k++)e[k]=f.Clipper.CleanPolygon(b[k],d);return e};f.Clipper.Minkowski=function(b,d,e,k){k=k?1:0;var n=b.length,p=d.length,v=[];if(e)for(e=0;e<p;e++){for(var C=Array(n),F=0,E=b.length,H=b[F];F<E;F++,H=b[F])C[F]=new f.IntPoint(d[e].X+H.X,d[e].Y+H.Y);v.push(C)}else for(e=0;e<p;e++){C=Array(n);F=0;E=b.length;for(H=b[F];F<E;F++,H=b[F])C[F]=new f.IntPoint(d[e].X-H.X,d[e].Y-H.Y);v.push(C)}b=[];for(e=0;e<p-1+k;e++)for(F=0;F<n;F++)d=[],d.push(v[e%p][F%n]),d.push(v[(e+1)%
+p][F%n]),d.push(v[(e+1)%p][(F+1)%n]),d.push(v[e%p][(F+1)%n]),f.Clipper.Orientation(d)||d.reverse(),b.push(d);return b};f.Clipper.MinkowskiSum=function(b,d,e){if(d[0]instanceof Array){v=d;d=new f.Paths;for(var k=new f.Clipper,n=0;n<v.length;++n){var p=f.Clipper.Minkowski(b,v[n],!0,e);k.AddPaths(p,f.PolyType.ptSubject,!0);e&&(p=f.Clipper.TranslatePath(v[n],b[0]),k.AddPath(p,f.PolyType.ptClip,!0))}k.Execute(f.ClipType.ctUnion,d,f.PolyFillType.pftNonZero,f.PolyFillType.pftNonZero);return d}var v=f.Clipper.Minkowski(b,
+d,!0,e),k=new f.Clipper;k.AddPaths(v,f.PolyType.ptSubject,!0);k.Execute(f.ClipType.ctUnion,v,f.PolyFillType.pftNonZero,f.PolyFillType.pftNonZero);return v};f.Clipper.TranslatePath=function(b,d){for(var e=new f.Path,k=0;k<b.length;k++)e.push(new f.IntPoint(b[k].X+d.X,b[k].Y+d.Y));return e};f.Clipper.MinkowskiDiff=function(b,d){var e=f.Clipper.Minkowski(b,d,!1,!0),k=new f.Clipper;k.AddPaths(e,f.PolyType.ptSubject,!0);k.Execute(f.ClipType.ctUnion,e,f.PolyFillType.pftNonZero,f.PolyFillType.pftNonZero);
+return e};f.Clipper.PolyTreeToPaths=function(b){var d=[];f.Clipper.AddPolyNodeToPaths(b,f.Clipper.NodeType.ntAny,d);return d};f.Clipper.AddPolyNodeToPaths=function(b,d,e){var k=!0;switch(d){case f.Clipper.NodeType.ntOpen:return;case f.Clipper.NodeType.ntClosed:k=!b.IsOpen}0<b.m_polygon.length&&k&&e.push(b.m_polygon);k=0;b=b.Childs();for(var n=b.length,p=b[k];k<n;k++,p=b[k])f.Clipper.AddPolyNodeToPaths(p,d,e)};f.Clipper.OpenPathsFromPolyTree=function(b){for(var d=new f.Paths,e=0,k=b.ChildCount();e<
+k;e++)b.Childs()[e].IsOpen&&d.push(b.Childs()[e].m_polygon);return d};f.Clipper.ClosedPathsFromPolyTree=function(b){var d=new f.Paths;f.Clipper.AddPolyNodeToPaths(b,f.Clipper.NodeType.ntClosed,d);return d};V(f.Clipper,f.ClipperBase);f.Clipper.NodeType={ntAny:0,ntOpen:1,ntClosed:2};f.ClipperOffset=function(b,d){"undefined"==typeof b&&(b=2);"undefined"==typeof d&&(d=f.ClipperOffset.def_arc_tolerance);this.m_destPolys=new f.Paths;this.m_srcPoly=new f.Path;this.m_destPoly=new f.Path;this.m_normals=[];
+this.m_StepsPerRad=this.m_miterLim=this.m_cos=this.m_sin=this.m_sinA=this.m_delta=0;this.m_lowest=new f.IntPoint;this.m_polyNodes=new f.PolyNode;this.MiterLimit=b;this.ArcTolerance=d;this.m_lowest.X=-1};f.ClipperOffset.two_pi=6.28318530717959;f.ClipperOffset.def_arc_tolerance=.25;f.ClipperOffset.prototype.Clear=function(){f.Clear(this.m_polyNodes.Childs());this.m_lowest.X=-1};f.ClipperOffset.Round=f.Clipper.Round;f.ClipperOffset.prototype.AddPath=function(b,d,e){var k=b.length-1;if(!(0>k)){var n=
+new f.PolyNode;n.m_jointype=d;n.m_endtype=e;if(e==f.EndType.etClosedLine||e==f.EndType.etClosedPolygon)for(;0<k&&f.IntPoint.op_Equality(b[0],b[k]);)k--;n.m_polygon.push(b[0]);var p=0;d=0;for(var v=1;v<=k;v++)f.IntPoint.op_Inequality(n.m_polygon[p],b[v])&&(p++,n.m_polygon.push(b[v]),b[v].Y>n.m_polygon[d].Y||b[v].Y==n.m_polygon[d].Y&&b[v].X<n.m_polygon[d].X)&&(d=p);if(!(e==f.EndType.etClosedPolygon&&2>p)&&(this.m_polyNodes.AddChild(n),e==f.EndType.etClosedPolygon))if(0>this.m_lowest.X)this.m_lowest=
+new f.IntPoint(this.m_polyNodes.ChildCount()-1,d);else if(b=this.m_polyNodes.Childs()[this.m_lowest.X].m_polygon[this.m_lowest.Y],n.m_polygon[d].Y>b.Y||n.m_polygon[d].Y==b.Y&&n.m_polygon[d].X<b.X)this.m_lowest=new f.IntPoint(this.m_polyNodes.ChildCount()-1,d)}};f.ClipperOffset.prototype.AddPaths=function(b,d,e){for(var f=0,k=b.length;f<k;f++)this.AddPath(b[f],d,e)};f.ClipperOffset.prototype.FixOrientations=function(){if(0<=this.m_lowest.X&&!f.Clipper.Orientation(this.m_polyNodes.Childs()[this.m_lowest.X].m_polygon))for(var b=
+0;b<this.m_polyNodes.ChildCount();b++){var d=this.m_polyNodes.Childs()[b];(d.m_endtype==f.EndType.etClosedPolygon||d.m_endtype==f.EndType.etClosedLine&&f.Clipper.Orientation(d.m_polygon))&&d.m_polygon.reverse()}else for(b=0;b<this.m_polyNodes.ChildCount();b++)d=this.m_polyNodes.Childs()[b],d.m_endtype!=f.EndType.etClosedLine||f.Clipper.Orientation(d.m_polygon)||d.m_polygon.reverse()};f.ClipperOffset.GetUnitNormal=function(b,d){var e=d.X-b.X,k=d.Y-b.Y;if(0==e&&0==k)return new f.DoublePoint(0,0);var n=
+1/Math.sqrt(e*e+k*k);return new f.DoublePoint(k*n,-(e*n))};f.ClipperOffset.prototype.DoOffset=function(b){this.m_destPolys=[];this.m_delta=b;if(f.ClipperBase.near_zero(b))for(var d=0;d<this.m_polyNodes.ChildCount();d++){var e=this.m_polyNodes.Childs()[d];e.m_endtype==f.EndType.etClosedPolygon&&this.m_destPolys.push(e.m_polygon)}else{this.m_miterLim=2<this.MiterLimit?2/(this.MiterLimit*this.MiterLimit):.5;var k=3.14159265358979/Math.acos(1-(0>=this.ArcTolerance?f.ClipperOffset.def_arc_tolerance:this.ArcTolerance>
+Math.abs(b)*f.ClipperOffset.def_arc_tolerance?Math.abs(b)*f.ClipperOffset.def_arc_tolerance:this.ArcTolerance)/Math.abs(b));this.m_sin=Math.sin(f.ClipperOffset.two_pi/k);this.m_cos=Math.cos(f.ClipperOffset.two_pi/k);this.m_StepsPerRad=k/f.ClipperOffset.two_pi;0>b&&(this.m_sin=-this.m_sin);for(d=0;d<this.m_polyNodes.ChildCount();d++){e=this.m_polyNodes.Childs()[d];this.m_srcPoly=e.m_polygon;var n=this.m_srcPoly.length;if(!(0==n||0>=b&&(3>n||e.m_endtype!=f.EndType.etClosedPolygon))){this.m_destPoly=
+[];if(1==n)if(e.m_jointype==f.JoinType.jtRound)for(var e=1,n=0,p=1;p<=k;p++){this.m_destPoly.push(new f.IntPoint(f.ClipperOffset.Round(this.m_srcPoly[0].X+e*b),f.ClipperOffset.Round(this.m_srcPoly[0].Y+n*b)));var v=e,e=e*this.m_cos-this.m_sin*n,n=v*this.m_sin+n*this.m_cos}else for(n=e=-1,p=0;4>p;++p)this.m_destPoly.push(new f.IntPoint(f.ClipperOffset.Round(this.m_srcPoly[0].X+e*b),f.ClipperOffset.Round(this.m_srcPoly[0].Y+n*b))),0>e?e=1:0>n?n=1:e=-1;else{for(p=this.m_normals.length=0;p<n-1;p++)this.m_normals.push(f.ClipperOffset.GetUnitNormal(this.m_srcPoly[p],
+this.m_srcPoly[p+1]));e.m_endtype==f.EndType.etClosedLine||e.m_endtype==f.EndType.etClosedPolygon?this.m_normals.push(f.ClipperOffset.GetUnitNormal(this.m_srcPoly[n-1],this.m_srcPoly[0])):this.m_normals.push(new f.DoublePoint(this.m_normals[n-2]));if(e.m_endtype==f.EndType.etClosedPolygon)for(v=n-1,p=0;p<n;p++)v=this.OffsetPoint(p,v,e.m_jointype);else if(e.m_endtype==f.EndType.etClosedLine){v=n-1;for(p=0;p<n;p++)v=this.OffsetPoint(p,v,e.m_jointype);this.m_destPolys.push(this.m_destPoly);this.m_destPoly=
+[];v=this.m_normals[n-1];for(p=n-1;0<p;p--)this.m_normals[p]=new f.DoublePoint(-this.m_normals[p-1].X,-this.m_normals[p-1].Y);this.m_normals[0]=new f.DoublePoint(-v.X,-v.Y);v=0;for(p=n-1;0<=p;p--)v=this.OffsetPoint(p,v,e.m_jointype)}else{v=0;for(p=1;p<n-1;++p)v=this.OffsetPoint(p,v,e.m_jointype);e.m_endtype==f.EndType.etOpenButt?(p=n-1,v=new f.IntPoint(f.ClipperOffset.Round(this.m_srcPoly[p].X+this.m_normals[p].X*b),f.ClipperOffset.Round(this.m_srcPoly[p].Y+this.m_normals[p].Y*b)),this.m_destPoly.push(v),
+v=new f.IntPoint(f.ClipperOffset.Round(this.m_srcPoly[p].X-this.m_normals[p].X*b),f.ClipperOffset.Round(this.m_srcPoly[p].Y-this.m_normals[p].Y*b)),this.m_destPoly.push(v)):(p=n-1,v=n-2,this.m_sinA=0,this.m_normals[p]=new f.DoublePoint(-this.m_normals[p].X,-this.m_normals[p].Y),e.m_endtype==f.EndType.etOpenSquare?this.DoSquare(p,v):this.DoRound(p,v));for(p=n-1;0<p;p--)this.m_normals[p]=new f.DoublePoint(-this.m_normals[p-1].X,-this.m_normals[p-1].Y);this.m_normals[0]=new f.DoublePoint(-this.m_normals[1].X,
+-this.m_normals[1].Y);v=n-1;for(p=v-1;0<p;--p)v=this.OffsetPoint(p,v,e.m_jointype);e.m_endtype==f.EndType.etOpenButt?(v=new f.IntPoint(f.ClipperOffset.Round(this.m_srcPoly[0].X-this.m_normals[0].X*b),f.ClipperOffset.Round(this.m_srcPoly[0].Y-this.m_normals[0].Y*b)),this.m_destPoly.push(v),v=new f.IntPoint(f.ClipperOffset.Round(this.m_srcPoly[0].X+this.m_normals[0].X*b),f.ClipperOffset.Round(this.m_srcPoly[0].Y+this.m_normals[0].Y*b)),this.m_destPoly.push(v)):(this.m_sinA=0,e.m_endtype==f.EndType.etOpenSquare?
+this.DoSquare(0,1):this.DoRound(0,1))}}this.m_destPolys.push(this.m_destPoly)}}}};f.ClipperOffset.prototype.Execute=function(){var b=arguments;if(b[0]instanceof f.PolyTree)if(d=b[0],e=b[1],d.Clear(),this.FixOrientations(),this.DoOffset(e),b=new f.Clipper(0),b.AddPaths(this.m_destPolys,f.PolyType.ptSubject,!0),0<e)b.Execute(f.ClipType.ctUnion,d,f.PolyFillType.pftPositive,f.PolyFillType.pftPositive);else if(e=f.Clipper.GetBounds(this.m_destPolys),k=new f.Path,k.push(new f.IntPoint(e.left-10,e.bottom+
+10)),k.push(new f.IntPoint(e.right+10,e.bottom+10)),k.push(new f.IntPoint(e.right+10,e.top-10)),k.push(new f.IntPoint(e.left-10,e.top-10)),b.AddPath(k,f.PolyType.ptSubject,!0),b.ReverseSolution=!0,b.Execute(f.ClipType.ctUnion,d,f.PolyFillType.pftNegative,f.PolyFillType.pftNegative),1==d.ChildCount()&&0<d.Childs()[0].ChildCount())for(b=d.Childs()[0],d.Childs()[0]=b.Childs()[0],d.Childs()[0].m_Parent=d,e=1;e<b.ChildCount();e++)d.AddChild(b.Childs()[e]);else d.Clear();else{var d=b[0],e=b[1];f.Clear(d);
+this.FixOrientations();this.DoOffset(e);b=new f.Clipper(0);b.AddPaths(this.m_destPolys,f.PolyType.ptSubject,!0);if(0<e)b.Execute(f.ClipType.ctUnion,d,f.PolyFillType.pftPositive,f.PolyFillType.pftPositive);else{var e=f.Clipper.GetBounds(this.m_destPolys),k=new f.Path;k.push(new f.IntPoint(e.left-10,e.bottom+10));k.push(new f.IntPoint(e.right+10,e.bottom+10));k.push(new f.IntPoint(e.right+10,e.top-10));k.push(new f.IntPoint(e.left-10,e.top-10));b.AddPath(k,f.PolyType.ptSubject,!0);b.ReverseSolution=
+!0;b.Execute(f.ClipType.ctUnion,d,f.PolyFillType.pftNegative,f.PolyFillType.pftNegative);0<d.length&&d.splice(0,1)}}};f.ClipperOffset.prototype.OffsetPoint=function(b,d,e){this.m_sinA=this.m_normals[d].X*this.m_normals[b].Y-this.m_normals[b].X*this.m_normals[d].Y;if(1>Math.abs(this.m_sinA*this.m_delta)){if(0<this.m_normals[d].X*this.m_normals[b].X+this.m_normals[b].Y*this.m_normals[d].Y)return this.m_destPoly.push(new f.IntPoint(f.ClipperOffset.Round(this.m_srcPoly[b].X+this.m_normals[d].X*this.m_delta),
+f.ClipperOffset.Round(this.m_srcPoly[b].Y+this.m_normals[d].Y*this.m_delta))),d}else 1<this.m_sinA?this.m_sinA=1:-1>this.m_sinA&&(this.m_sinA=-1);if(0>this.m_sinA*this.m_delta)this.m_destPoly.push(new f.IntPoint(f.ClipperOffset.Round(this.m_srcPoly[b].X+this.m_normals[d].X*this.m_delta),f.ClipperOffset.Round(this.m_srcPoly[b].Y+this.m_normals[d].Y*this.m_delta))),this.m_destPoly.push(new f.IntPoint(this.m_srcPoly[b])),this.m_destPoly.push(new f.IntPoint(f.ClipperOffset.Round(this.m_srcPoly[b].X+this.m_normals[b].X*
+this.m_delta),f.ClipperOffset.Round(this.m_srcPoly[b].Y+this.m_normals[b].Y*this.m_delta)));else switch(e){case f.JoinType.jtMiter:e=1+(this.m_normals[b].X*this.m_normals[d].X+this.m_normals[b].Y*this.m_normals[d].Y);e>=this.m_miterLim?this.DoMiter(b,d,e):this.DoSquare(b,d);break;case f.JoinType.jtSquare:this.DoSquare(b,d);break;case f.JoinType.jtRound:this.DoRound(b,d)}return b};f.ClipperOffset.prototype.DoSquare=function(b,d){var e=Math.tan(Math.atan2(this.m_sinA,this.m_normals[d].X*this.m_normals[b].X+
+this.m_normals[d].Y*this.m_normals[b].Y)/4);this.m_destPoly.push(new f.IntPoint(f.ClipperOffset.Round(this.m_srcPoly[b].X+this.m_delta*(this.m_normals[d].X-this.m_normals[d].Y*e)),f.ClipperOffset.Round(this.m_srcPoly[b].Y+this.m_delta*(this.m_normals[d].Y+this.m_normals[d].X*e))));this.m_destPoly.push(new f.IntPoint(f.ClipperOffset.Round(this.m_srcPoly[b].X+this.m_delta*(this.m_normals[b].X+this.m_normals[b].Y*e)),f.ClipperOffset.Round(this.m_srcPoly[b].Y+this.m_delta*(this.m_normals[b].Y-this.m_normals[b].X*
+e))))};f.ClipperOffset.prototype.DoMiter=function(b,d,e){e=this.m_delta/e;this.m_destPoly.push(new f.IntPoint(f.ClipperOffset.Round(this.m_srcPoly[b].X+(this.m_normals[d].X+this.m_normals[b].X)*e),f.ClipperOffset.Round(this.m_srcPoly[b].Y+(this.m_normals[d].Y+this.m_normals[b].Y)*e)))};f.ClipperOffset.prototype.DoRound=function(b,d){for(var e=Math.max(f.Cast_Int32(f.ClipperOffset.Round(this.m_StepsPerRad*Math.abs(Math.atan2(this.m_sinA,this.m_normals[d].X*this.m_normals[b].X+this.m_normals[d].Y*this.m_normals[b].Y)))),
+1),k=this.m_normals[d].X,n=this.m_normals[d].Y,p,v=0;v<e;++v)this.m_destPoly.push(new f.IntPoint(f.ClipperOffset.Round(this.m_srcPoly[b].X+k*this.m_delta),f.ClipperOffset.Round(this.m_srcPoly[b].Y+n*this.m_delta))),p=k,k=k*this.m_cos-this.m_sin*n,n=p*this.m_sin+n*this.m_cos;this.m_destPoly.push(new f.IntPoint(f.ClipperOffset.Round(this.m_srcPoly[b].X+this.m_normals[b].X*this.m_delta),f.ClipperOffset.Round(this.m_srcPoly[b].Y+this.m_normals[b].Y*this.m_delta)))};f.Error=function(b){try{throw Error(b);
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+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],
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+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};
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+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;
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+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*
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+c.value[0].value.real+a.value[0].value.imag*h.value[2].value.imag*c.value[1].value.imag-a.value[0].value.imag*h.value[2].value.real*c.value[1].value.real-a.value[0].value.real*h.value[2].value.real*c.value[1].value.imag-a.value[0].value.real*h.value[2].value.imag*c.value[1].value.real+a.value[2].value.imag*h.value[1].value.imag*c.value[0].value.imag-a.value[2].value.imag*h.value[1].value.real*c.value[0].value.real-a.value[2].value.real*h.value[1].value.real*c.value[0].value.imag-a.value[2].value.real*
+h.value[1].value.imag*c.value[0].value.real+a.value[1].value.imag*h.value[0].value.imag*c.value[2].value.imag-a.value[1].value.imag*h.value[0].value.real*c.value[2].value.real-a.value[1].value.real*h.value[0].value.real*c.value[2].value.imag-a.value[1].value.real*h.value[0].value.imag*c.value[2].value.real)};g.det4m=function(a){var h=a.value,c=h[0].value,b=c[0].value,d=+b.real,g=+b.imag,b=c[1].value,e=+b.real,f=+b.imag,b=c[2].value,k=+b.real,m=+b.imag,b=c[3].value,n=+b.real,p=+b.imag,c=h[1].value,
+b=c[0].value,q=+b.real,t=+b.imag,b=c[1].value,u=+b.real,v=+b.imag,b=c[2].value,w=+b.real,x=+b.imag,b=c[3].value,c=+b.real,b=+b.imag;a=d*u-g*v-e*q+f*t;var y=d*v+g*u-e*t-f*q,z=d*w-g*x-k*q+m*t,A=d*x+g*w-k*t-m*q,B=d*c-g*b-n*q+p*t,C=d*b+g*c-n*t-p*q,D=e*w-f*x-k*u+m*v,E=e*x+f*w-k*v-m*u,F=e*c-f*b-n*u+p*v,G=e*b+f*c-n*v-p*u,H=k*c-m*b-n*w+p*x,L=k*b+m*c-n*x-p*w,c=h[2].value,b=c[0].value,d=+b.real,g=+b.imag,b=c[1].value,e=+b.real,f=+b.imag,b=c[2].value,k=+b.real,m=+b.imag,b=c[3].value,n=+b.real,p=+b.imag,c=h[3].value,
+b=c[0].value,q=+b.real,t=+b.imag,b=c[1].value,u=+b.real,v=+b.imag,b=c[2].value,w=+b.real,x=+b.imag,b=c[3].value,c=+b.real,b=+b.imag,h=d*u-g*v-e*q+f*t,J=d*v+g*u-e*t-f*q,I=d*w-g*x-k*q+m*t,K=d*x+g*w-k*t-m*q,M=d*c-g*b-n*q+p*t,d=d*b+g*c-n*t-p*q,g=e*w-f*x-k*u+m*v,q=e*x+f*w-k*v-m*u,t=e*c-f*b-n*u+p*v,e=e*b+f*c-n*v-p*u,f=k*c-m*b-n*w+p*x,k=k*b+m*c-n*x-p*w;return l.complex(a*f-y*k-z*t+A*e+B*g-C*q+D*M-E*d-F*I+G*K+H*h-L*J,a*k+y*f-z*e-A*t+B*q+C*g+D*d+E*M-F*K-G*I+H*J+L*h)};g.eucangle=function(a,h){var c=g.cross(a,
+g.linfty),b=g.cross(h,g.linfty),d=g.det3(g.ez,c,g.ii),c=g.det3(g.ez,c,g.jj),e=g.det3(g.ez,b,g.ii),b=g.det3(g.ez,b,g.jj),d=l.div(l.mult(d,b),l.mult(e,c)),d=l.log(d);return d=l.mult(d,l.complex(0,.5))};g.zerovector=function(a){a=Math.floor(a.value.real);for(var h=Array(a),c=0;c<a;c++)h[c]=0;return g.realVector(h)};g.zeromatrix=function(a,h){for(var c=Math.floor(a.value.real),b=Array(c),d=0;d<c;d++)b[d]=g.zerovector(h);return g.turnIntoCSList(b)};g.vandermonde=function(a){for(var h=a.value.length,c=
+g.zeromatrix(h,h),b=0;b<h;b++)for(var d=0;d<h;d++)c.value[b].value[d]=l.pow(a.value[b],l.real(d-1));return c};g.transpose=function(a){for(var h=[],c=a.value[0].value.length,b=a.value.length,d=0;d<c;d++){for(var e=[],f=0;f<b;f++)e[f]=a.value[f].value[d];h[d]=g.turnIntoCSList(e)}return g.turnIntoCSList(h)};g.column=function(a,h){for(var c=[],b=a.value.length,d=Math.floor(h.value.real-1),e=0;e<b;e++)c[e]=a.value[e].value[d];return g.turnIntoCSList(c)};g.row=function(a,h){for(var c=[],b=a.value[0].value.length,
+d=Math.floor(h.value.real-1),e=0;e<b;e++)c[e]=a.value[d].value[e];return g.turnIntoCSList(c)};g.adjoint2=function(a){var h=a.value[0].value[0],c=a.value[1].value[0],b=Array(2);b[0]=g.turnIntoCSList([a.value[1].value[1],l.neg(a.value[0].value[1])]);b[1]=g.turnIntoCSList([l.neg(c),h]);return b=g.turnIntoCSList(b)};g.adjoint3=function(a){var h,c,b,d,g,e,f,k,l,m,n,p,q,t,u,v,w;h=a.value[0].value;c=h[0].value;b=c.real;d=c.imag;c=h[1].value;g=c.real;e=c.imag;c=h[2].value;f=c.real;k=c.imag;h=a.value[1].value;
+c=h[0].value;l=c.real;m=c.imag;c=h[1].value;n=c.real;p=c.imag;c=h[2].value;q=c.real;t=c.imag;h=a.value[2].value;c=h[0].value;a=c.real;u=c.imag;c=h[1].value;v=c.real;w=c.imag;c=h[2].value;h=c.real;c=c.imag;return{ctype:"list",value:[{ctype:"list",value:[{ctype:"number",value:{real:n*h-q*v-p*c+t*w,imag:n*c-q*w-v*t+h*p}},{ctype:"number",value:{real:-g*h+f*v+e*c-k*w,imag:-g*c+f*w+v*k-h*e}},{ctype:"number",value:{real:g*q-f*n-e*t+k*p,imag:g*t-f*p-n*k+q*e}}]},{ctype:"list",value:[{ctype:"number",value:{real:-l*
+h+q*a+m*c-t*u,imag:-l*c+q*u+a*t-h*m}},{ctype:"number",value:{real:b*h-f*a-d*c+k*u,imag:b*c-f*u-a*k+h*d}},{ctype:"number",value:{real:-b*q+f*l+d*t-k*m,imag:-b*t+f*m+l*k-q*d}}]},{ctype:"list",value:[{ctype:"number",value:{real:l*v-n*a-m*w+p*u,imag:l*w-n*u-a*p+v*m}},{ctype:"number",value:{real:-b*v+g*a+d*w-e*u,imag:-b*w+g*u+a*e-v*d}},{ctype:"number",value:{real:b*n-g*l-d*p+e*m,imag:b*p-g*m-l*e+n*d}}]}]}};g.inverse=function(a){var h=a.value.length;if(h!==a.value[0].value.length)return console.log("Inverse works only for square matrices"),
+k;if(2===h)return g.scaldiv(g.det(a),g.adjoint2(a));if(3===h)return g.scaldiv(g.det(a),g.adjoint3(a));h=g.LUdecomp(a);a=a.value.length;var c=l.real(0),b=l.real(1),d=g.zerovector(l.real(a));d.value[0]=b;for(var e=Array(a),f=0;f<a;f++)e[f]=g._helper.LUsolve(h,d),d.value[f]=c,d.value[f+1]=b;e=g.turnIntoCSList(e);return e=g.transpose(e)};g.linearsolve=function(a,h){return 2===a.value.length?g.linearsolveCramer2(a,h):3===a.value.length?g.linearsolveCramer3(a,h):g.LUsolve(a,h)};g.getDiag=function(a){if(a.value.length!==
+a.value[0].value.length)return k;for(var h=Array(a.value.length),c=0;c<a.value.length;c++)h[c]=a.value[c].value[c];return g.turnIntoCSList(h)};g.getSubDiag=function(a){if(a.value.length!==a.value[0].value.length)return k;for(var h=Array(a.value.length-1),c=0;c<a.value.length-1;c++)h[c]=a.value[c+1].value[c];return g.turnIntoCSList(h)};g.eig2=function(a){var h=l.add(a.value[0].value[0],a.value[1].value[1]);a=g.det2(a.value[0],a.value[1]);var c=l.mult(h,h),b=h=l.mult(h,l.real(.5));a=l.sqrt(l.sub(l.div(c,
+l.real(4)),a));h=l.add(h,a);b=l.sub(b,a);return g.turnIntoCSList([h,b])};g.eig=function(a,h){var c=h||!0,b=a,d=l.real(b.value.length),e=d.value.real;l.real(0);var b=g._helper.QRIteration(b)[0],b=g.getDiag(b),b=g.sort1(b),d=g.idMatrix(d,d),f=Array(e),f=g.turnIntoCSList(f);if(c){for(var k,m,n,p=0,q=!1,c=0;c<e;c++)q?m=k.value[p]:(k=b.value[c],k=g.sub(a,g.scalmult(k,d)),k=g.nullSpace(k),m=k.value[0],void 0!==m&&(n=m)),void 0===m&&(m=n),1E-8>g.abs(m).value.real&&0===p&&(m=g._helper.inverseIteration(a,
+b.value[c])),f.value[c]=g._helper.isAlmostZeroVec(m)?m:g.scaldiv(g.abs(m),m),c<e-1&&((q=1E-6>l.abs(l.sub(b.value[c],b.value[c+1])).value.real)?p++:p=0);f=g.transpose(f)}return g.turnIntoCSList([b,f])};g._helper.isNormalMatrix=function(a){return 1E-10>g.abs(g.sub(a,g.transjugate(a))).value.real};g._helper.QRIteration=function(a,h){var c,b=a;c=l.real(b.value.length);var d=c.value.real,e=c.value.real;l.real(0);var f;g.idMatrix(c,c);var k=g.zeromatrix(c,c),m=g.idMatrix(c,c),n=h?h:2500,p,q,t,u=0,v=Array(e);
+for(c=0;c<n;c++){f=g._helper.getBlock(b,[e-2,e-1],[e-2,e-1]);p=g.eig2(f);f=p.value[0];p=p.value[1];g.abs(f);g.abs(p);q=b.value[e-1].value[e-1];t=l.abs(l.sub(q,f)).value.real;q=l.abs(l.sub(q,p)).value.real;p=t<q?f:p;f=g.idMatrix(l.real(e),l.real(e));p=g.scalmult(p,f);f=g.QRdecomp(g.sub(b,p));b=w.mult(f.R,f.Q);b=g.add(b,p);f.Q=g._helper.buildBlockMatrix(f.Q,g.idMatrix(l.real(u),l.real(u)));m=w.mult(m,f.Q);if(1E-48>l.abs2(b.value[b.value.length-1].value[b.value[0].value.length-2]).value.real&&1<e){v[d-
+u-1]=b.value[e-1].value[e-1];for(c=0;c<e;c++)k.value[e-1].value[c]=b.value[e-1].value[c],k.value[c].value[e-1]=b.value[c].value[e-1];b=g._helper.getBlock(b,[0,e-2],[0,e-2]);u++;e--}if(1===e){k.value[0].value[0]=b.value[0].value[0];break}if(g._helper.isUpperTriangular(b)){for(c=0;c<e;c++)k.value[c].value[c]=b.value[c].value[c];break}}return[k,m]};g.rank=function(a,h){return g.RRQRdecomp(a,h).rank};g._helper.isAlmostZeroVec=function(a){for(var h=a.value.length,c=0;c<h;c++)if(!l._helper.isAlmostZero(a.value[c]))return!1;
+return!0};g._helper.isLowerTriangular=function(a){for(var h=a.value.length,c=a.value[0].value.length,b=0;b<h;b++)for(var d=b+1;d<c;d++)if(!l._helper.isAlmostZero(a.value[b].value[d]))return!1;return!0};g._helper.isUpperTriangular=function(a){return g._helper.isLowerTriangular(g.transpose(a))};g._helper.isAlmostId=function(a){var h=a.value.length,c=l.real(h);if(h!==a.value[0].value.length)return!1;a=g.sub(a,g.idMatrix(c),c);for(c=0;c<h;c++)for(var b=0;b<h;b++)if(1E-16<l.abs(a.value[c].value[b]).value.real)return!1;
+return!0};g.nullSpace=function(a,h){var c=a.value.length,b=g.RRQRdecomp(g.transjugate(a),h),d=g.transpose(b.Q),b=c-b.rank.value.real,e=Array(b);d.value.reverse();for(var f,k=0;k<b;k++)f=d.value[k],e[k]=g.scaldiv(g.abs(f),f);e=g.turnIntoCSList(e);return 0<e.value.length?e:g.turnIntoCSList([g.zerovector(l.real(c))])};g._helper.isAlmostDiagonal=function(a){var h=a.value.length;l.real(h);l.real(0);if(h!==a.value[0].value.length)return!1;for(var c=0;c<h;c++)for(var b=0;b<h;b++)if(c!==b&&1E-16<l.abs(a.value[c].value[b]).value.real)return!1;
+return!0};g._helper.inverseIteration=function(a,h){console.log("warning: code untested");for(var c=a.value.length,b=Array(c),d=0;d<c;d++)b[d]=2*Math.random()-.5;for(var b=g.realVector(b),c=g.idMatrix(l.real(c),l.real(c)),d=l.add(h,l.real(.1*Math.random()-.5)),e=0;100>e;e++)b=g.scaldiv(g.abs(b),b),b=g.LUsolve(g.sub(a,g.scalmult(d,c)),JSON.parse(JSON.stringify(b)));return g.scaldiv(g.abs(b),b)};g._helper.toHessenberg=function(a){var h=JSON.parse(JSON.stringify(a)),c=h.value.length,b=l.real(c-1),d=l.real(c);
+l.real(1);if(g._helper.isUpperTriangular(h))return[g.idMatrix(b,b),a];var e;a=g.idMatrix(d,d);for(var f,d=1;d<c-1;d++)e=g.column(h,l.real(d)),e.value=e.value.splice(d),f=g.abs2(e).value.real,1E-16<f&&(e=g._helper.getHouseHolder(e),a=w.mult(a,e),h=w.mult(w.mult(e,h),e)),b.value.real--;return[a,h]};g._helper.swapEl=function(a,h,c){var b;"[object Array]"===Object.prototype.toString.call(a)?(b=a[h],a[h]=a[c],a[c]=b):"list"===a.ctype&&(b=a.value[h],a.value[h]=a.value[c],a.value[c]=b)};g.RRQRdecomp=function(a,
+h){var c=Math.sqrt(l.eps);void 0!==h&&(c=.1*h.value.real);var c=c*c,b,d=a.value.length,e=l.real(d),f=l.real(1),k=g._helper.unitvector(l.real(a.value.length),f),m=g.idMatrix(e,e),n=JSON.parse(JSON.stringify(a)),p=g.transpose(a),q=Array(d);for(b=0;b<d;b++)q[b]=g.abs2(p.value[b]);q=g.turnIntoCSList(q);p=Array(d);for(b=0;b<d;b++)p[b]=b;b=g.maxIndex(q,l.abs);for(var t=q.value[b],u=0,v=0;1E-16<l.abs2(t).value.real;v++){u++;g._helper.swapColumn(n,v,b);g._helper.swapEl(q,v,b);g._helper.swapEl(p,v,b);b=g._helper.getBlock(n,
+[v],[v]);b=g.column(b,f);t=g.abs2(b).value.real;1E-8<t&&(b=g._helper.getHouseHolder(b),b=g._helper.buildBlockMatrix(g.idMatrix(l.real(v),l.real(v)),b),m=w.mult(m,g.transjugate(b)),n=w.mult(b,n));for(b=v+1;b<d;b++)q.value[b]=l.sub(q.value[b],l.mult(n.value[v].value[b],l.conjugate(n.value[v].value[b])));b=g.maxIndex(q,l.abs2,v+1);t=q.value[b];if(v+2===d){l.abs(t).value.real>c&&u++;break}e=l.sub(e,f);k.value=k.value.splice(0,k.value.length-1)}return{Q:m,R:n,P:g.turnIntoCSList(p),rank:l.real(u)}};g._helper.getHouseHolder=
+function(a){var h=l.real(a.value.length);if(1E-16>g.abs2(a))return g.idMatrix(h,h);var c,b=l.real(1),d=g._helper.unitvector(l.real(a.value.length),b);c=g._helper.QRgetAlpha(a,0);c=g.sub(a,g.scalmult(c,d));c=g.scaldiv(g.abs(c),c);a=l.div(g.sesquilinearproduct(a,c),g.sesquilinearproduct(c,a));h=g.idMatrix(h,h);return h=g.sub(h,g.scalmult(l.add(b,a),g._helper.transposeMult(c,g.conjugate(c))))};g._helper.reOrderbyPivots=function(a,h){for(var c=a.value.length.length,b=g.transpose(a),c=Array(c),d=0;d<h.length;d++)c[h[d]]=
+b.value[d];c=g.turnIntoCSList(c);return g.transpose(c)};g.QRdecomp=function(a){var h,c=a.value.length,b=l.real(c);if(g._helper.isUpperTriangular(a))return{Q:g.idMatrix(b,b),R:a};var d=l.real(1),e=g._helper.unitvector(l.real(a.value.length),d),f,k=g.idMatrix(b,b);a=JSON.parse(JSON.stringify(a));for(var m=0;;m++){h=g._helper.getBlock(a,[m],[m]);h=g.column(h,d);f=g.abs2(h).value.real;1E-8<f&&(h=g._helper.getHouseHolder(h),h=g._helper.buildBlockMatrix(g.idMatrix(l.real(m),l.real(m)),h),k=w.mult(k,g.transjugate(h)),
+a=w.mult(h,a));if(m+2===c)break;b=l.sub(b,d);e.value=e.value.splice(0,e.value.length-1)}return{Q:k,R:a}};g._helper.swapColumn=function(a,h,c){for(var b,d=0;d<a.value.length;d++)b=a.value[d].value[h],a.value[d].value[h]=a.value[d].value[c],a.value[d].value[c]=b};g._helper.buildBlockMatrix=function(a,h){if(0===a.value.length)return h;if(0===h.value.length)return a;for(var c=a.value.length,b=a.value[0].value.length,d=b+h.value[0].value.length,d=g.zeromatrix(l.real(c+h.value.length),l.real(d)),e=0;e<
+a.value.length;e++)for(var f=0;f<a.value[0].value.length;f++)d.value[e].value[f]=a.value[e].value[f];for(e=0;e<h.value.length;e++)for(f=0;f<h.value[0].value.length;f++)d.value[c+e].value[b+f]=h.value[e].value[f];return d};g._helper.getBlock=function(a,h,c){a=JSON.parse(JSON.stringify(a));var b=h[0],d=c[0];h=void 0===h[1]?a.value.length:h[1];c=void 0===c[1]?a.value[0].value.length:c[1];h++;c++;a.value=a.value.slice(b,h);for(b=0;b<a.value.length;b++)a.value[b].value=a.value[b].value.slice(d,c);return a};
+g._helper.setBlock=function(a,h,c){a=JSON.parse(JSON.stringify(a));var b=c[0];c=c[1];for(var d=h.value.length,g=h.value[0].value.length,e=0;e<d;e++)for(var f=0;f<g;f++)a.value[b+e].value[c+f]=h.value[e].value[f];return a};g._helper.transposeMult=function(a,h){if(a.value.length!==h.value.length)return k;for(var c=a.value.length,b=Array(c),d=0;d<c;d++)b[d]=g.scalmult(a.value[d],h);return g.turnIntoCSList(b)};g._helper.QRgetAlpha=function(a,h){return 0>a.value[h].value.real?g.abs(a):l.neg(g.abs(a))};
+g.LUdecomp=function(a){a=JSON.parse(JSON.stringify(a));var h,c,b,d,g,e=0,f,k=a.value.length,m=k-1,n=Array(k);for(b=0;b<k;++b){g=b;d=a.value[b];f=l.abs(d.value[b]).value.real;for(c=b+1;c<k;++c)h=l.abs(a.value[c].value[b]),f<h.value.real&&(f=h.value.real,g=c);f<l.eps&&console.log("Warning: singular matrix!");n[b]=g;g!==b&&(a.value[b]=a.value[g],a.value[g]=d,d=a.value[b],e++);c=d.value[b];for(h=b+1;h<k;++h)a.value[h].value[b]=l.div(a.value[h].value[b],c);for(h=b+1;h<k;++h){g=a.value[h];for(c=b+1;c<m;++c)g.value[c]=
+l.sub(g.value[c],l.mult(g.value[b],d.value[c])),++c,g.value[c]=l.sub(g.value[c],l.mult(g.value[b],d.value[c]));c===m&&(g.value[c]=l.sub(g.value[c],l.mult(g.value[b],d.value[c])))}}return{LU:a,P:n,TransPos:e}};g.LUsolve=function(a,h){var c=g.LUdecomp(a);return 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=
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+a.behavior.fy])}c=m[a.type]["get_"+h];return"function"===typeof c?c(a):k},setField:function(a,h,c){"color"===h&&g._helper.isNumberVecN(c,3)&&(a.color=c);"size"===h&&"number"===c.ctype&&(a.size=c);"alpha"===h&&"number"===c.ctype&&(a.alpha=c);"fillcolor"===h&&g._helper.isNumberVecN(c,3)&&(a.fillcolor=c);"fillalpha"===h&&"number"===c.ctype&&(a.fillalpha=c);"visible"===h&&"boolean"===c.ctype&&(a.visible=c.value);"pinned"===h&&"boolean"===c.ctype&&(a.pinned=c.value);"labeled"!==h&&"labelled"!==h||"boolean"!==
+c.ctype||(a.labeled=c.value);"printlabel"===h&&(a.printname=ba(c));"trace"===h&&"boolean"===c.ctype&&(c.value&&!a.drawtrace?(a.drawtrace=!0,qd(a)):a.drawtrace=c.value);"P"===a.kind&&a.movable&&("xy"===h&&g._helper.isNumberVecN(c,2)&&Ia(a,g.turnIntoCSList([c.value[0],c.value[1],l.real(1)]),"homog"),"xy"===h&&g._helper.isNumberVecN(c,3)&&Ia(a,c,"homog"),"x"===h&&"number"===c.ctype&&Ia(a,g.turnIntoCSList([l.mult(c,a.homog.value[2]),a.homog.value[1],a.homog.value[2]]),"homog"),"y"===h&&"number"===c.ctype&&
+Ia(a,g.turnIntoCSList([a.homog.value[0],l.mult(c,a.homog.value[2]),a.homog.value[2]]),"homog"),"homog"===h&&g._helper.isNumberVecN(c,3)&&Ia(a,c,"homog"));"homog"===h&&"L"===a.kind&&a.movable&&g._helper.isNumberVecN(c,3)&&Ia(a,c,"homog");"Text"===a.kind&&("pressed"===h&&"boolean"===c.ctype&&a.checkbox&&(a.checkbox.checked=c.value),a.movable&&("xy"===h?g._helper.isNumberVecN(c,2)?a.homog=g.turnIntoCSList([c.value[0],c.value[1],l.real(1)]):g._helper.isNumberVecN(c,3)&&(a.homog=c):"homog"===h&&g._helper.isNumberVecN(c,
+3)?a.homog=c:"x"===h&&"number"===c.ctype?a.homog=g.turnIntoCSList([l.mult(c,a.homog.value[2]),a.homog.value[1],a.homog.value[2]]):"y"===h&&"number"===c.ctype&&(a.homog=g.turnIntoCSList([a.homog.value[0],l.mult(c,a.homog.value[2]),a.homog.value[2]]))));a.behavior&&("mass"===h&&"Mass"===a.behavior.type&&"number"===c.ctype&&(a.behavior.mass=c.value.real),"mass"===h&&"Sun"===a.behavior.type&&"number"===c.ctype&&(a.behavior.mass=c.value.real),"friction"===h&&"Mass"===a.behavior.type&&"number"===c.ctype&&
+(a.behavior.friction=c.value.real),"charge"===h&&"Mass"===a.behavior.type&&"number"===c.ctype&&(a.behavior.charge=c.value.real),"radius"===h&&"Mass"===a.behavior.type&&"number"===c.ctype&&(a.behavior.radius=c.value.real),"vx"===h&&"Mass"===a.behavior.type&&"number"===c.ctype&&(a.behavior.vx=c.value.real),"vy"===h&&"Mass"===a.behavior.type&&"number"===c.ctype&&(a.behavior.vy=c.value.real),"v"===h&&"Mass"===a.behavior.type&&g._helper.isNumberVecN(c,2)&&(a.behavior.vx=c.value[0].value.real,a.behavior.vy=
+c.value[1].value.real));h=m[a.type]["set_"+h];if("function"===typeof h)return h(a,c)}};t.version$0=function(a,h){var c=["CindyJS"].concat(ne);return g.turnIntoCSList(c.map(w.wrap))};t.clearconsole$0=function(a,h){ia.clear()};t.err$1=function(a,h){var c="",b;"variable"===a[0].ctype?(c=a[0].name,b=J.getvar(a[0].name)):b=a[0];b=c+" ===> "+ba(A(b));ia.err(b);return k};t.errc$1=function(a,h){var c;"variable"===a[0].ctype?(c=A(J.getvar(a[0].name)),console.log(a[0].name+" ===> "+ba(c))):(c=A(a[0]),console.log(" ===> "+
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+a[1].ctype&&(b=a[1].name);if("number"!==c.ctype)return k;var c=Math.round(c.value.real),d=1,g=1,e=c+1,f=!1,l=!1,m=!1,n;void 0!==h.start&&(n=A(h.start),"number"===n.ctype&&(f=!0,g=n.value.real));void 0!==h.step&&(n=A(h.step),"number"===n.ctype&&(m=!0,d=n.value.real));void 0!==h.stop&&(n=A(h.stop),"number"===n.ctype&&(l=!0,e=n.value.real));!f||l||m||(e=d*c+g);f||!l||m||(g=-d*(c-1)+e,e+=d);f||l||!m||(e=d*c+g);f&&l&&!m&&(d=(e-g)/(c-1),e+=d);f&&!l&&m&&(e=d*c+g);!f&&l&&m&&(g=-d*(c-1)+e,e+=d);f&&l&&m&&(e+=
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+for(var e=0;e<c.length;e++)J.setvar(b,c[e]),d[e]=A(a[2]);J.removevar(b);return{ctype:"list",value:d}};t.forall$2=function(a,h){return t.forall$3([a[0],null,a[1]],h)};t.forall$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);c=c.value;J.newvar(b);for(var d,e=0;e<c.length;e++)J.setvar(b,c[e]),d=A(a[2]);J.removevar(b);return d};t.select$2=function(a,h){return t.select$3([a[0],null,a[1]],h)};t.select$3=function(a,h){var c=B(a[0]);
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+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],
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+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&&
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+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()|
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+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",
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+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=
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+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),
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+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=
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+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=
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+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([])]);
+if(f===e)return g.turnIntoCSList([b]);n=[];m=Array(f);c(0,0);return g.turnIntoCSList(n)}}return k};t.zeromatrix$2=function(a,h){var c=B(a[0]),b=B(a[1]);return"number"===c.ctype&&"number"===b.ctype?g.zeromatrix(c,b):k};t.zerovector$1=function(a,h){var c=B(a[0]);return"number"===c.ctype?g.zerovector(c):k};t.transpose$1=function(a,h){var c=B(a[0]);return"list"===c.ctype&&-1!==g._helper.colNumb(c)?g.transpose(c):k};t.row$2=function(a,h){var c=B(a[0]),b=B(a[1]);return"number"===b.ctype&&"list"===c.ctype&&
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+Z(3);T(b);a.homog=w.withUsage(b,"Line")};m.HorizontalLine.stateSize=6;m.Vertical={};m.Vertical.kind="L";m.Vertical.signature=["P"];m.Vertical.updatePosition=function(a){a.homog=g.cross(g.ey,u.csnames[a.args[0]].homog);a.homog=g.normalizeMax(a.homog);a.homog=w.withUsage(a.homog,"Line")};m.VerticalLine={};m.VerticalLine.kind="L";m.VerticalLine.signature=[];m.VerticalLine.isMovable=!0;m.VerticalLine.initialize=function(a){a=m._helper.initializeLine(a);a=g.turnIntoCSList([a.value[0],l.zero,a.value[2]]);
+a=g.normalizeMax(a);T(a)};m.VerticalLine.getParamForInput=function(a,b,c){if("mouse"===c)b=g.cross(b,g.ey);else if("homog"===c){if(0!==b.value[1].real||0!==b.value[1].imag)b=g.turnIntoCSList([b.value[0],l.zero,b.value[2]])}else b=g.turnIntoCSList([l.zero,l.zero,l.zero]);return g.normalizeMax(b)};m.VerticalLine.getParamFromState=function(a){return Z(3)};m.VerticalLine.putParamToState=function(a,b){T(b)};m.VerticalLine.updatePosition=function(a){var b=Z(3);T(b);a.homog=w.withUsage(b,"Line")};m.VerticalLine.stateSize=
+6;m.LineByFixedAngle={};m.LineByFixedAngle.kind="L";m.LineByFixedAngle.signature=["L","P"];m.LineByFixedAngle.initialize=function(a){var b=l._helper.input(a.angle),c=l.cos(b),b=l.sin(b);a.rot=g.turnIntoCSList([g.turnIntoCSList([b,c,l.zero]),g.turnIntoCSList([l.neg(c),b,l.zero]),g.turnIntoCSList([l.zero,l.zero,l.zero])])};m.LineByFixedAngle.updatePosition=function(a){var b=u.csnames[a.args[1]],c=g.productMV(a.rot,u.csnames[a.args[0]].homog);a.homog=g.cross(b.homog,c);a.homog=g.normalizeMax(a.homog);
+a.homog=w.withUsage(a.homog,"Line")};m.Through={};m.Through.kind="L";m.Through.signature=["P"];m.Through.isMovable=!0;m.Through.initialize=function(a){a=a.dir?w.wrap(a.dir):g.realVector([a.pos[1],-a.pos[0],0]);T(a)};m.Through.getParamForInput=function(a,b,c){a="dir"===c||"mouse"===c?g.cross(u.csnames[a.args[0]].homog,b):"homog"===c?b:g.turnIntoCSList([l.zero,l.zero,l.zero]);a=g.cross(g.linfty,a);return g.normalizeMax(a)};m.Through.getParamFromState=function(a){return Z(3)};m.Through.putParamToState=
+function(a,b){T(b)};m.Through.updatePosition=function(a){var b=Z(3);T(b);b=g.cross(u.csnames[a.args[0]].homog,b);b=g.normalizeMax(b);a.homog=w.withUsage(b,"Line")};m.Through.stateSize=6;m.Through.set_angle=function(a,b){if("number"===b.ctype){var c=l.cos(b),d=l.sin(b),c=g.turnIntoCSList([c,d,l.real(0)]);Ia(a,c,"dir")}};m.Through.set_slope=function(a,b){if("number"===b.ctype){var c=g.turnIntoCSList([l.real(1),b,l.real(0)]);Ia(a,c,"dir")}};m.Free={};m.Free.kind="P";m.Free.signature=[];m.Free.isMovable=
+!0;m.Free.initialize=function(a){a=m._helper.initializePoint(a);T(a)};m.Free.getParamForInput=function(a,b,c){if("mouse"===c&&cc&&0!==Wa){b=g.normalizeZ(b);a=b.value[0].value.real;c=b.value[1].value.real;var d=Math.round(a/Wa)*Wa,e=Math.round(c/Wa)*Wa;.2>Math.abs(d-a)&&.2>Math.abs(e-c)&&(b=g.realVector([d,e,1]))}return g.normalizeMax(b)};m.Free.getParamFromState=function(a){return Z(3)};m.Free.putParamToState=function(a,b){T(b)};m.Free.updatePosition=function(a){var b=Z(3);T(b);a.homog=w.withUsage(b,
+"Point")};m.Free.stateSize=6;m._helper.projectPointToLine=function(a,b){var c=g.turnIntoCSList([b.value[0],b.value[1],l.zero]),c=g.cross(c,a);return g.normalizeMax(g.cross(c,b))};m.PointOnLine={};m.PointOnLine.kind="P";m.PointOnLine.signature=["L"];m.PointOnLine.isMovable=!0;m.PointOnLine.initialize=function(a){var b=m._helper.initializePoint(a);a=u.csnames[a.args[0]].homog;var b=m._helper.projectPointToLine(b,a),b=g.normalizeMax(b),c=g.cross(g.linfty,b);g.normalizeMax(c);T(b);T(a);fb=!1};m.PointOnLine.updatePosition=
+function(a,b){var c,d=u.csnames[a.args[0]].homog;c=Z(3);Z(3);if(!b){va=a.stateIdx;var e=ma;ma=za;var f=Z(3),l=Z(3);ma=e;e=g.cross(l,d);g._helper.isAlmostZero(e)&&(e=g.cross(g.linfty,d));f=m._helper.CircleMP(e,f);f=m._helper.IntersectLC(d,f);e=m._helper.pointReflection(e,c);c=Ad(f[0],f[1],c,e)[0]}c=g.normalizeMax(c);T(c);T(d);a.homog=w.withUsage(c,"Point")};m.PointOnLine.getParamForInput=function(a,b,c){return b=m._helper.projectPointToLine(b,u.csnames[a.args[0]].homog)};m.PointOnLine.getParamFromState=
+function(a){return Z(3)};m.PointOnLine.putParamToState=function(a,b){return T(b)};m.PointOnLine.stateSize=12;m.PointOnCircle={};m.PointOnCircle.kind="P";m.PointOnCircle.signature=["C"];m.PointOnCircle.isMovable=!0;m.PointOnCircle.initialize=function(a){var b=u.csnames[a.args[0]];a=g.normalizeZ(m._helper.initializePoint(a));var c=g.normalizeZ(m._helper.CenterOfCircle(b.matrix)),d=g.sub(a,c),d=g.turnIntoCSList([d.value[1],l.neg(d.value[0]),l.zero]),c=g.cross(a,c),b=m._helper.IntersectLC(c,b.matrix),
+c=g.projectiveDistMinScal(a,b[0]);g.projectiveDistMinScal(a,b[1])<c?(a=b[1],b=b[0]):(a=b[0],b=b[1]);T(d);T(a);T(b);fb=!1};m.PointOnCircle.putParamToState=function(a,b){T(b)};m.PointOnCircle.getParamFromState=function(a){return Z(3)};m.PointOnCircle.getParamForInput=function(a,b,c){c=g.normalizeZ(m._helper.CenterOfCircle(u.csnames[a.args[0]].matrix));b=g.sub(b,c);va=a.stateIdx;a=Z(3);var d=g.normalizeZ(Z(3));c=g.sub(d,c);0>l.sub(l.mult(a.value[0],c.value[1]),l.mult(a.value[1],c.value[0])).value.real&&
+(b=g.neg(b));return g.turnIntoCSList([b.value[1],l.neg(b.value[0]),l.zero])};m.PointOnCircle.parameterPath=function(a,b,c,d,e){d=g.normalizeAbs(d);e=g.normalizeAbs(e);var f=g.scalproduct(d,e);if(0<=f.value.real)return xd(a,b,c,d,e);a=g.turnIntoCSList([l.sub(d.value[1],e.value[1]),l.sub(e.value[0],d.value[0]),l.zero]);f=g.scalproduct(d,a);0>f.value.real&&(a=g.neg(a));0>b?(b=2*b+1,c=b*b,f=.25/(1+c),c=l.complex(2*b*f+.25,(1-c)*f)):(b=2*b-1,c=b*b,f=.25/(1+c),c=l.complex(2*b*f+.75,(1-c)*f));var k=l.sub(l.real(1),
+c);b=l.mult(c,c);f=l.mult(k,k);c=l.mult(c,k);d=g.scalmult(f,d);d=g.add(d,g.scalmult(c,a));return d=g.add(d,g.scalmult(b,e))};m.PointOnCircle.updatePosition=function(a){var b=Z(3);T(b);var c=u.csnames[a.args[0]],b=g.productMV(c.matrix,b),c=m._helper.IntersectLC(b,c.matrix),c=Na(c[0],c[1]),b=g.normalizeMax(c.value[0]);a.homog=w.withUsage(b,"Point");a.antipodalPoint=c.value[1]};m.PointOnCircle.stateSize=6+Na.stateSize;m.OtherPointOnCircle={};m.OtherPointOnCircle.kind="P";m.OtherPointOnCircle.signature=
+["P"];m.OtherPointOnCircle.signatureConstraints=function(a){return"PointOnCircle"===u.csnames[a.args[0]].type};m.OtherPointOnCircle.updatePosition=function(a){var b=u.csnames[a.args[0]].antipodalPoint,b=g.normalizeMax(b);a.homog=w.withUsage(b,"Point")};m.PointOnSegment={};m.PointOnSegment.kind="P";m.PointOnSegment.signature=["S"];m.PointOnSegment.isMovable=!0;m.PointOnSegment.initialize=function(a){var b=m._helper.initializePoint(a);a=m.PointOnSegment.getParamForInput(a,b);Va(a)};m.PointOnSegment.getParamForInput=
+function(a,b){var c=u.csnames[a.args[0]],d=c.homog,d=g.turnIntoCSList([d.value[0],d.value[1],l.zero]),e=g.sub(c.startpos,c.endpos),c=g.crossratio3(e,c.startpos,c.endpos,b,d);0>c.value.real&&(c=l.complex(0,c.value.imag));1<c.value.real&&(c=l.complex(1,c.value.imag));return c};m.PointOnSegment.getParamFromState=function(a){return wb()};m.PointOnSegment.putParamToState=function(a,b){Va(b)};m.PointOnSegment.updatePosition=function(a){var b=wb();Va(b);var c=u.csnames[a.args[0]],d=c.startpos,c=g.sub(c.endpos,
+d),b=g.add(d,g.scalmult(b,c)),b=g.normalizeMax(b);a.homog=w.withUsage(b,"Point")};m.PointOnSegment.stateSize=2;m._helper.projectPointToCircle=function(a,b){var c=m._helper.CenterOfCircle(a.matrix),c=g.normalizeMax(c),c=g.normalizeMax(g.cross(b,c)),c=m._helper.IntersectLC(c,a.matrix),d=g.projectiveDistMinScal(b,c[0]),e=g.projectiveDistMinScal(b,c[1]);return d<e?c[0]:c[1]};m.PointOnArc={};m.PointOnArc.kind="P";m.PointOnArc.signature=["C"];m.PointOnArc.signatureConstraints=function(a){return u.csnames[a.args[0]].isArc};
+m.PointOnArc.isMovable=!0;m.PointOnArc.initialize=function(a){var b=m._helper.initializePoint(a);a=m.PointOnArc.getParamForInput(a,b);T(a)};m.PointOnArc.getParamForInput=function(a,b){var c=u.csnames[a.args[0]],d=m._helper.projectPointToCircle(c,b),c=g.normalizeMax(g.crossratio3harm(c.startPoint,c.endPoint,c.viaPoint,d,g.ii)),d=l.div(c.value[0],c.value[1]);0>d.value.real&&(c=-1>d.value.real?g.realVector([1,0]):g.realVector([0,1]));return c};m.PointOnArc.getParamFromState=function(a){return Z(2)};
+m.PointOnArc.putParamToState=function(a,b){T(b)};m.PointOnArc.updatePosition=function(a){var b=u.csnames[a.args[0]],c=b.startPoint,d=b.viaPoint,e=b.endPoint,f=g.ii,k=g.cross(c,f),d=g.cross(d,f),n=g.cross(e,f),n=g.turnIntoCSList([k,n]),k=g.transpose(n),n=g.conjugate(n),k=g.productMM(n,k),d=g.productMV(n,d),k=g.productMV(g.adjoint2(k),d),d=k.value[0],k=k.value[1],n=Z(2);T(n);c=g.normalizeMax(g.add(g.scalmult(l.mult(d,n.value[0]),c),g.scalmult(l.mult(k,n.value[1]),e)));b=m._helper.conicOtherIntersection(b.matrix,
+f,c);a.homog=w.withUsage(b,"Point")};m.PointOnArc.stateSize=4;m._helper.CenterOfCircle=function(a){return g.turnIntoCSList([a.value[2].value[0],a.value[2].value[1],l.neg(a.value[0].value[0])])};m._helper.CenterOfConic=function(a){a=g.adjoint3(a);return{ctype:"list",value:[a.value[2].value[0],a.value[2].value[1],a.value[2].value[2]]}};m.CenterOfConic={};m.CenterOfConic.kind="P";m.CenterOfConic.signature=["C"];m.CenterOfConic.updatePosition=function(a){var b=m._helper.CenterOfConic(u.csnames[a.args[0]].matrix);
+a.homog=b;a.homog=g.normalizeMax(a.homog);a.homog=w.withUsage(a.homog,"Point")};m._helper.CircleMP=function(a,b){var c=a.value[0],d=a.value[1],e=l.neg(a.value[2]),f=l.zero,c=g.turnIntoCSList([g.turnIntoCSList([e,f,c]),g.turnIntoCSList([f,e,d]),g.turnIntoCSList([c,d,f])]),e=w.mult(w.mult(b,c),b),d=w.mult(w.mult(b,g.fund),b),e=w.mult(e,g.fund),c=w.mult(d,c);return g.sub(e,c)};m.CircleMP={};m.CircleMP.kind="C";m.CircleMP.signature=["P","P"];m.CircleMP.updatePosition=function(a){a.matrix=m._helper.CircleMP(u.csnames[a.args[0]].homog,
+u.csnames[a.args[1]].homog);a.matrix=g.normalizeMax(a.matrix);a.matrix=w.withUsage(a.matrix,"Circle")};m.CircleMr={};m.CircleMr.kind="C";m.CircleMr.signature=["P"];m.CircleMr.isMovable=!0;m.CircleMr.initialize=function(a){Va(l.real(a.radius))};m.CircleMr.getParamForInput=function(a,b,c){if("radius"===c)return b;a=u.csnames[a.args[0]].homog;a=g.normalizeZ(a);b=g.normalizeZ(b);b=g.sub(a,b);return b=g.abs(b)};m.CircleMr.getParamFromState=function(a){return wb()};m.CircleMr.putParamToState=function(a,
+b){Va(b)};m.CircleMr.updatePosition=function(a){var b=wb();Va(b);var c=u.csnames[a.args[0]].homog,d=l.mult(c.value[2],b),d=l.mult(d,d);if(!l._helper.isFinite(d)&&!l._helper.isNaN(d))return g.fund;c=m._helper.ScaledCircleMrr(c,d);a.matrix=w.withUsage(c,"Circle");a.radius=b};m.CircleMr.stateSize=2;m.CircleMr.set_radius=function(a,b){"number"===b.ctype&&Ia(a,b,"radius")};m._helper.ScaledCircleMrr=function(a,b){var c=a.value[0],d=a.value[1],e=l.neg(a.value[2]),e=g.scalmult(e,g.turnIntoCSList([c,d,e])).value,
+c=g.turnIntoCSList([c,d]),c=l.sub(g.scalproduct(c,c),b),e=m._helper.buildConicMatrix([e[2],l.zero,e[2],e[0],e[1],c]);return g.normalizeMax(e)};m.Compass={};m.Compass.kind="C";m.Compass.signature=["P","P","P"];m.Compass.updatePosition=function(a){var b=u.csnames[a.args[0]].homog,c=u.csnames[a.args[1]].homog,d=u.csnames[a.args[2]].homog,e=b.value[2],f=c.value[2],k=d.value[2],b=g.scalmult(l.mult(f,k),b),c=g.scalmult(l.mult(e,k),c),d=g.scalmult(l.mult(e,f),d),b=g.sub(c,b),d=m._helper.ScaledCircleMrr(d,
+g.scalproduct(b,b));a.matrix=w.withUsage(d,"Circle")};m._helper.getConicType=function(a){if(1E-16>l.abs(g.det(a)).value.real)return"degenerate";var b=l.mult(a.value[0].value[0],a.value[1].value[1]),b=l.sub(b,l.pow(a.value[0].value[1],l.real(2))),b=b.value.real;return 1E-16>Math.abs(b)?"parabola":1E-16<b?"ellipsoid":"hyperbola"};m._helper.ConicBy5=function(a,b,c,d,e,f){a=g.turnIntoCSList([g.cross(c,d)]);var k=g.turnIntoCSList([g.cross(b,e)]);b=g.turnIntoCSList([g.cross(b,c)]);d=g.turnIntoCSList([g.cross(d,
+e)]);return m._helper.conicFromTwoDegenerates(a,k,b,d,f)};m._helper.conicFromTwoDegenerates=function(a,b,c,d,e){a=w.mult(g.transpose(b),a);c=w.mult(g.transpose(d),c);a=g.add(a,g.transpose(a));c=g.add(c,g.transpose(c));d=w.mult(w.mult(e,a),e);e=w.mult(w.mult(e,c),e);c=w.mult(d,c);e=w.mult(e,a);return g.sub(c,e)};m.ConicBy5={};m.ConicBy5.kind="C";m.ConicBy5.signature=["P","P","P","P","P"];m.ConicBy5.updatePosition=function(a){var b=m._helper.ConicBy5(a,u.csnames[a.args[0]].homog,u.csnames[a.args[1]].homog,
+u.csnames[a.args[2]].homog,u.csnames[a.args[3]].homog,u.csnames[a.args[4]].homog);a.matrix=b;a.matrix=g.normalizeMax(a.matrix);a.matrix=w.withUsage(a.matrix,"Conic")};m.FreeConic={};m.FreeConic.kind="C";m.FreeConic.signature=[];m.FreeConic.initialize=function(a){var b;b=a.pos?m._helper.inputConic(a.pos):g.zeromatrix(l.real(3),l.real(3));m.FreeConic.putParamToState(a,b)};m.FreeConic.getParamForInput=function(a,b,c){return g.normalizeMax(b)};m.FreeConic.getParamFromState=function(a){return m._helper.buildConicMatrix(Z(6).value)};
+m.FreeConic.putParamToState=function(a,b){for(var c=0;3>c;++c)for(var d=0;d<=c;++d)Va(b.value[c].value[d])};m.FreeConic.updatePosition=function(a){var b=Z(6);T(b);a.matrix=m._helper.buildConicMatrix(b.value);a.matrix=g.normalizeMax(a.matrix);a.matrix=w.withUsage(a.matrix,"Conic")};m.FreeConic.set_matrix=function(a,b){g._helper.isNumberMatrixMN(b,3,3)&&Ia(a,g.add(b,g.transpose(b)),"matrix")};m.FreeConic.stateSize=12;m._helper.buildConicMatrix=function(a){var b=a[1],c=a[2],d=a[3],e=a[4],f=a[5];return g.turnIntoCSList([g.turnIntoCSList([a[0],
+b,d]),g.turnIntoCSList([b,c,e]),g.turnIntoCSList([d,e,f])])};m._helper.splitDegenConic=function(a){var b=g.adjoint3(a),c=0,d,e,f=l.abs2(b.value[0].value[0]).value.real;for(d=1;3>d;d++)e=l.abs2(b.value[d].value[d]).value.real,e>f&&(c=d,f=e);d=l.sqrt(l.mult(l.real(-1),b.value[c].value[c]));if(1E-16>l.abs2(d).value.real)return a=g.turnIntoCSList([l.zero,l.zero,l.zero]),[a,a];c=l.real(c+1);e=g.column(b,c);e=g.scaldiv(d,e);d=e.value[0];f=e.value[1];e=e.value[2];d=g.turnIntoCSList([g.turnIntoCSList([l.real(0),
+e,l.mult(l.real(-1),f)]),g.turnIntoCSList([l.mult(l.real(-1),e),l.real(0),d]),g.turnIntoCSList([f,l.mult(l.real(-1),d),l.real(0)])]);a=g.add(a,d);var k=0;for(d=f=b=0;3>d;d++)for(c=0;3>c;c++)e=l.abs2(a.value[d].value[c]).value.real,e>f&&(k=d,b=c,f=e);d=a.value[k];a=g.transpose(a);a=a.value[b];d=g.normalizeMax(d);a=g.normalizeMax(a);d=w.withUsage(d,"Line");a=w.withUsage(a,"Line");return[d,a]};m._helper.inputConic=function(a){var b="xx xy yy xz yz zz".split(" ").map(function(b){var d=l._helper.input(a[b]);
+b[0]!==b[1]&&(d=l.realmult(.5,d));return d});return m._helper.buildConicMatrix(b)};m.SelectConic={};m.SelectConic.kind="C";m.SelectConic.signature=["Cs"];m.SelectConic.initialize=function(a){if(void 0!==a.index)return a.index-1;var b=m._helper.inputConic(a.pos);a=u.csnames[a.args[0]].results;for(var c=g.conicDist(b,a[0]),d=0,e=1;e<a.length;++e){var f=g.conicDist(b,a[e]);f<c&&(c=f,d=e)}return d};m.SelectConic.updatePosition=function(a){a.matrix=u.csnames[a.args[0]].results[a.param];a.matrix=g.normalizeMax(a.matrix);
+a.matrix=w.withUsage(a.matrix,"Conic")};m._helper.ConicBy4p1l=function(a,b,c,d,e,f){var k=g.scalproduct(b,f),n=g.scalproduct(c,f),p=g.scalproduct(d,f),q=g.scalproduct(e,f),t=g.det3(c,d,e),u=g.det3(b,c,e),v=g.det3(b,d,e),w=g.det3(b,c,d),x=l.mult,n=l.sqrt(x(x(n,q),x(t,u))),k=l.sqrt(x(x(k,p),x(v,w))),p=g.cross(g.cross(b,d),f);f=g.cross(g.cross(c,e),f);p=g.scalmult(n,p);k=g.scalmult(k,f);f=g.normalizeMax(g.add(p,k));k=g.normalizeMax(g.sub(p,k));k=Na(f,k);f=m._helper.ConicBy5(a,b,c,d,e,k.value[0]);a=m._helper.ConicBy5(a,
+b,c,d,e,k.value[1]);return[g.normalizeMax(f),g.normalizeMax(a)]};m.ConicBy4p1l={};m.ConicBy4p1l.kind="Cs";m.ConicBy4p1l.signature=["P","P","P","P","L"];m.ConicBy4p1l.updatePosition=function(a){var b=m._helper.ConicBy4p1l(a,u.csnames[a.args[0]].homog,u.csnames[a.args[1]].homog,u.csnames[a.args[2]].homog,u.csnames[a.args[3]].homog,u.csnames[a.args[4]].homog);a.results=b};m.ConicBy4p1l.stateSize=Na.stateSize;m._helper.ConicBy3p2l=function(a,b,c,d,e){function f(a,b,c,d){return l.sub(l.mult(a,d),l.mult(b,
+c))}var k=g.cross(a,b),m=g.cross(d,e);d=g.cross(d,k);e=g.cross(e,k);k=g.turnIntoCSList([d,e,m]);c=g.productVM(c,g.adjoint3(k));m=g.adjoint3(g.turnIntoCSList([g.scalmult(c.value[0],d),g.scalmult(c.value[1],e),g.scalmult(c.value[2],m)]));c=g.transpose(m);d=l.mult;e=g.productMV(c,a);a=e.value[0];e=e.value[1];k=g.productMV(c,b);b=k.value[0];var k=k.value[1],n=l.sqrt(d(a,e)),p=l.sqrt(d(b,k)),q,t=Array(4);for(q=0;4>q;++q){var u=(q&2)-1,v=d(l.real(((q&1)<<1)-1),n),w=d(l.real(u),p),x=f(e,v,k,w),y=f(b,w,a,
+v),u=f(a,e,b,k),z=l.add(l.add(f(b,k,a,e),f(k,w,e,v)),f(w,b,v,a)),v=d(x,x),w=d(y,y),A=d(z,z),B=d(x,y),x=d(x,z),y=d(y,z),B=l.sub(B,d(l.real(.5),d(u,u))),u=g.turnIntoCSList([g.turnIntoCSList([v,B,x]),g.turnIntoCSList([B,w,y]),g.turnIntoCSList([x,y,A])]),u=g.productMM(m,g.productMM(u,c)),u=g.turnIntoCSList([u.value[0].value[0],u.value[0].value[1],u.value[0].value[2],u.value[1].value[1],u.value[1].value[2],u.value[2].value[2]]);t[q]=u}return t};m.ConicBy3p2l={};m.ConicBy3p2l.kind="Cs";m.ConicBy3p2l.signature=
+["P","P","P","L","L"];m.ConicBy3p2l.updatePosition=function(a){for(var b=m._helper.ConicBy3p2l(u.csnames[a.args[0]].homog,u.csnames[a.args[1]].homog,u.csnames[a.args[2]].homog,u.csnames[a.args[3]].homog,u.csnames[a.args[4]].homog),b=Bd(b),c=Array(4),d=0;4>d;++d){var e=b[d].value;c[d]=g.turnIntoCSList([g.turnIntoCSList([e[0],e[1],e[2]]),g.turnIntoCSList([e[1],e[3],e[4]]),g.turnIntoCSList([e[2],e[4],e[5]])])}a.results=c};m.ConicBy3p2l.stateSize=48;m.ConicBy2p3l={};m.ConicBy2p3l.kind="Cs";m.ConicBy2p3l.signature=
+["P","P","L","L","L"];m.ConicBy2p3l.updatePosition=function(a){for(var b=m._helper.ConicBy3p2l(u.csnames[a.args[2]].homog,u.csnames[a.args[3]].homog,u.csnames[a.args[4]].homog,u.csnames[a.args[0]].homog,u.csnames[a.args[1]].homog),b=Bd(b),c=Array(4),d=0;4>d;++d){var e=b[d].value,e=g.turnIntoCSList([g.turnIntoCSList([e[0],e[1],e[2]]),g.turnIntoCSList([e[1],e[3],e[4]]),g.turnIntoCSList([e[2],e[4],e[5]])]);c[d]=g.normalizeMax(g.adjoint3(e))}a.results=c};m.ConicBy2p3l.stateSize=48;m.ConicBy1p4l={};m.ConicBy1p4l.kind=
+"Cs";m.ConicBy1p4l.signature=["P","L","L","L","L"];m.ConicBy1p4l.updatePosition=function(a){var b=m._helper.ConicBy4p1l(a,u.csnames[a.args[1]].homog,u.csnames[a.args[2]].homog,u.csnames[a.args[3]].homog,u.csnames[a.args[4]].homog,u.csnames[a.args[0]].homog),c=b[0],b=b[1],c=g.adjoint3(c),b=g.adjoint3(b),b=[c,b];a.results=b};m.ConicBy1p4l.stateSize=Na.stateSize;m.ConicParabolaPL={};m.ConicParabolaPL.kind="C";m.ConicParabolaPL.signature=["P","L"];m.ConicParabolaPL.updatePosition=function(a){var b=u.csnames[a.args[0]].homog.value,
+c=u.csnames[a.args[1]].homog.value,d=l.mult,e=l.neg,f=l.add,k=l.sub,n=b[0],p=b[1],q=b[2],t=c[0],b=c[1],c=c[2],v=d(q,q),x=d(t,t),y=d(b,b),z=d(q,c),A=e(q),q=f(x,y),y=d(v,y),x=d(v,x),e=d(e(v),d(t,b)),t=d(A,f(d(n,q),d(z,t))),b=d(A,f(d(p,q),d(z,b))),d=k(d(f(d(n,n),d(p,p)),q),d(v,d(c,c))),d=m._helper.buildConicMatrix([y,e,x,t,b,d]),d=g.normalizeMax(d);a.matrix=w.withUsage(d,"Conic")};m.ConicBy2Foci1P={};m.ConicBy2Foci1P.kind="Cs";m.ConicBy2Foci1P.signature=["P","P","P"];m.ConicBy2Foci1P.updatePosition=
+function(a){var b=u.csnames[a.args[0]].homog,c=u.csnames[a.args[1]].homog,d=u.csnames[a.args[2]].homog,e=g.ii,f=g.jj,k=g.normalizeMax(g.cross(b,d)),n=g.normalizeMax(g.cross(c,d)),p=g.normalizeMax(g.cross(d,e)),d=g.normalizeMax(g.cross(d,f)),n=m._helper.coHarmonic(p,d,k,n),k=g.normalizeMax(n[0]),n=g.normalizeMax(n[1]),e=g.turnIntoCSList([e]),p=g.turnIntoCSList([f]),d=g.turnIntoCSList([b]),q=g.turnIntoCSList([c]),f=m._helper.conicFromTwoDegenerates(e,p,d,q,k),f=g.normalizeMax(f),e=m._helper.conicFromTwoDegenerates(e,
+p,d,q,n),e=g.normalizeMax(e),f=g.normalizeMax(g.adjoint3(f)),e=g.normalizeMax(g.adjoint3(e));"ellipsoid"!==m._helper.getConicType(f)&&(k=f,f=e,e=k);g.almostequals(b,c).value&&(b=l.real(3),e=g.zeromatrix(b,b));a.results=[f,e]};m.ConicBy2Pol1P={};m.ConicBy2Pol1P.kind="C";m.ConicBy2Pol1P.signature=["P","L","P","L","P"];m.ConicBy2Pol1P.updatePosition=function(a){var b=u.csnames[a.args[0]].homog,c=u.csnames[a.args[1]].homog,d=u.csnames[a.args[2]].homog,e=u.csnames[a.args[3]].homog,f=u.csnames[a.args[4]].homog,
+k=g.scalproduct,m=g.scalmult,n=g.sub,p=g.productMM,q=l.realmult,t=g.transpose,v=g.turnIntoCSList,x=n(m(k(c,b),f),m(q(2,k(c,f)),b)),y=n(m(k(e,d),f),m(q(2,k(e,f)),d)),z=v([g.cross(b,f)]),f=v([g.cross(d,f)]),y=p(t(z),v([g.cross(b,y)])),v=p(t(f),v([g.cross(d,x)])),p=p(t(z),f),b=k(b,e),c=k(d,c),d=g.add(m(c,y),m(b,v)),d=n(d,m(q(2,l.mult(b,c)),p)),d=g.add(d,t(d)),d=g.normalizeMax(d),d=w.withUsage(d,"Conic");a.matrix=d};m.ConicBy2Pol1L={};m.ConicBy2Pol1L.kind="C";m.ConicBy2Pol1L.signature=["P","L","P","L",
+"L"];m.ConicBy2Pol1L.updatePosition=function(a){var b=u.csnames[a.args[0]].homog,c=u.csnames[a.args[1]].homog,d=u.csnames[a.args[2]].homog,e=u.csnames[a.args[3]].homog,f=u.csnames[a.args[4]].homog,k=g.scalproduct,m=g.scalmult,n=g.productMM,p=l.mult,q=g.transpose,t=g.turnIntoCSList,v=k(c,b),x=k(c,d),y=k(e,b),z=k(e,d),A=k(f,b),k=k(f,d),B=t([g.sub(m(p(y,k),c),m(p(x,A),e))]),b=g.add(n(q(t([m(p(y,x),f)])),t([g.sub(g.add(m(l.sub(p(v,k),p(x,A)),e),m(l.sub(p(z,A),p(y,k)),c)),m(g.det3(c,e,f),g.cross(b,d)))])),
+n(q(B),B)),b=g.add(b,q(b)),b=g.normalizeMax(b),b=w.withUsage(b,"Conic");a.matrix=b};m._helper.conic1Pol3Inc=function(a,b,c,d,e){var f=g.scalproduct,k=g.scalmult,m=g.productMM,n=g.cross,p=l.realmult,q=l.mult,t=g.transpose,u=g.turnIntoCSList,v=g.det3,w=v(a,c,d),x=u([n(c,e)]),y=u([n(a,e)]),z=u([n(c,d)]),A=f(b,a),B=f(b,c);b=f(b,e);n=u([n(d,g.sub(k(A,e),k(p(2,b),a)))]);x=k(w,m(t(x),n));a=p(2,l.add(q(v(a,d,e),B),q(w,b)));a=l.sub(q(v(c,d,e),A),a);x=g.add(x,k(a,m(t(y),z)));x=g.add(x,t(x));return x=g.normalizeMax(x)};
+m.ConicBy1Pol3P={};m.ConicBy1Pol3P.kind="C";m.ConicBy1Pol3P.signature=["P","L","P","P","P"];m.ConicBy1Pol3P.updatePosition=function(a){var b=m._helper.conic1Pol3Inc(u.csnames[a.args[0]].homog,u.csnames[a.args[1]].homog,u.csnames[a.args[2]].homog,u.csnames[a.args[3]].homog,u.csnames[a.args[4]].homog),b=w.withUsage(b,"Conic");a.matrix=b};m.ConicBy1Pol3L={};m.ConicBy1Pol3L.kind="C";m.ConicBy1Pol3L.signature=["P","L","L","L","L"];m.ConicBy1Pol3L.updatePosition=function(a){var b=m._helper.conic1Pol3Inc(u.csnames[a.args[1]].homog,
+u.csnames[a.args[0]].homog,u.csnames[a.args[2]].homog,u.csnames[a.args[3]].homog,u.csnames[a.args[4]].homog),b=g.normalizeMax(g.adjoint3(b)),b=w.withUsage(b,"Conic");a.matrix=b};m._helper.coHarmonic=function(a,b,c,d){var e=g.realVector([100*Math.random(),100*Math.random(),1]),f=g.det3(e,c,a),k=g.det3(e,c,b);c=g.det3(e,d,a);d=g.det3(e,d,b);d=l.sqrt(l.mult(d,k));f=l.sqrt(l.mult(c,f));a=w.mult(a,d);f=w.mult(b,f);b=g.add(a,f);a=g.sub(a,f);return[b,a]};m.ConicInSquare={};m.ConicInSquare.kind="C";m.ConicInSquare.signature=
+["P","P","P","P"];m.ConicInSquare.updatePosition=function(a){var b=D.basismap(u.csnames[a.args[0]].homog,u.csnames[a.args[1]].homog,u.csnames[a.args[2]].homog,u.csnames[a.args[3]].homog),c=l.one,c=m._helper.buildConicMatrix([c,c,c,l.real(-3),c,c]),b=g.adjoint3(b),b=g.productMM(g.productMM(g.transpose(b),c),b),b=g.normalizeMax(b);a.matrix=w.withUsage(b,"Conic")};m.ConicBy5lines={};m.ConicBy5lines.kind="C";m.ConicBy5lines.signature=["L","L","L","L","L"];m.ConicBy5lines.updatePosition=function(a){var b=
+m._helper.ConicBy5(a,u.csnames[a.args[0]].homog,u.csnames[a.args[1]].homog,u.csnames[a.args[2]].homog,u.csnames[a.args[3]].homog,u.csnames[a.args[4]].homog),b=g.adjoint3(b);a.matrix=b;a.matrix=g.normalizeMax(a.matrix);a.matrix=w.withUsage(a.matrix,"Conic")};m.ConicFromPrincipalDirections={};m.ConicFromPrincipalDirections.kind="C";m.ConicFromPrincipalDirections.signature=["P","P","P"];m.ConicFromPrincipalDirections.updatePosition=function(a){var b=u.csnames[a.args[0]].homog,c=u.csnames[a.args[1]].homog,
+d=u.csnames[a.args[2]].homog,e=m._helper.pointReflection(b,c),f=g.cross(c,b),b=g.turnIntoCSList([f.value[0],f.value[1],l.zero]),f=g.turnIntoCSList([f]),c=g.turnIntoCSList([g.cross(c,b)]),e=g.turnIntoCSList([g.cross(e,b)]);a.matrix=m._helper.conicFromTwoDegenerates(f,f,c,e,d);a.matrix=g.normalizeMax(a.matrix);a.matrix=w.withUsage(a.matrix,"Conic")};m.CircleBy3={};m.CircleBy3.kind="C";m.CircleBy3.signature=["P","P","P"];m.CircleBy3.updatePosition=function(a){var b=m._helper.ConicBy5(a,u.csnames[a.args[0]].homog,
+u.csnames[a.args[1]].homog,g.ii,g.jj,u.csnames[a.args[2]].homog);a.matrix=g.normalizeMax(b);a.matrix=w.withUsage(a.matrix,"Circle")};m.ArcBy3={};m.ArcBy3.kind="C";m.ArcBy3.signature=["P","P","P"];m.ArcBy3.updatePosition=function(a){m.CircleBy3.updatePosition(a);a.startPoint=u.csnames[a.args[0]].homog;a.viaPoint=u.csnames[a.args[1]].homog;a.endPoint=u.csnames[a.args[2]].homog};m.ArcBy3.initialize=function(a){a.startPoint=u.csnames[a.args[0]].homog;a.viaPoint=u.csnames[a.args[1]].homog;a.endPoint=u.csnames[a.args[2]].homog;
+a.isArc=!0};m.PolarOfPoint={};m.PolarOfPoint.kind="L";m.PolarOfPoint.signature=["P","C"];m.PolarOfPoint.updatePosition=function(a){var b=w.mult(u.csnames[a.args[1]].matrix,u.csnames[a.args[0]].homog),b=g.normalizeMax(b);a.homog=w.withUsage(b,"Line")};m.PolarOfLine={};m.PolarOfLine.kind="P";m.PolarOfLine.signature=["L","C"];m.PolarOfLine.updatePosition=function(a){var b=u.csnames[a.args[0]],c=g.adjoint3(u.csnames[a.args[1]].matrix),b=w.mult(c,b.homog),b=g.normalizeMax(b);a.homog=w.withUsage(b,"Point")};
+m.AngleBisector={};m.AngleBisector.kind="Ls";m.AngleBisector.signature=["L","L","P"];m.AngleBisector.updatePosition=function(a){var b=u.csnames[a.args[0]].homog,c=u.csnames[a.args[1]].homog,d=u.csnames[a.args[2]].homog,e=g.add,f=g.sub,k=g.abs,l=g.cross,m=g.scalmult,n=g.normalizeMax,p=g._helper.isAlmostZero,q=g.linfty,t=m(k(l(l(q,c),q)),b),b=m(k(l(l(q,b),q)),c),f=f(t,b),e=e(t,b);p(f)&&(f=l(l(l(q,e),q),d));p(e)&&(e=l(l(l(q,f),q),d));a.results=Na(n(f),n(e))};m.AngleBisector.stateSize=Na.stateSize;m._helper.IntersectLC=
+function(a,b){var c=l,d=g.crossOperator(a),e=g.transpose(d),e=w.mult(e,w.mult(b,d)),f=g.maxIndex(a,l.abs2),k,m,n,p;0===f?(f=e.value[1].value[1],k=e.value[1].value[2],m=e.value[2].value[1],n=e.value[2].value[2],p=a.value[0]):1===f?(f=e.value[0].value[0],k=e.value[0].value[2],m=e.value[2].value[0],n=e.value[2].value[2],p=a.value[1]):(f=e.value[0].value[0],k=e.value[0].value[1],m=e.value[1].value[0],n=e.value[1].value[1],p=a.value[2]);c=c.div(c.sqrt(c.sub(c.mult(k,m),c.mult(f,n))),p);c=g.add(e,g.scalmult(c,
+d));f=g.maxIndex(c,g.abs2);d=c.value[f];d=g.normalizeMax(d);d=w.withUsage(d,"Point");c=g.transpose(c);f=g.maxIndex(c,g.abs2);c=c.value[f];c=g.normalizeMax(c);c=w.withUsage(c,"Point");return[d,c]};m.IntersectLC={};m.IntersectLC.kind="Ps";m.IntersectLC.signature=["L","C"];m.IntersectLC.updatePosition=function(a){var b=m._helper.IntersectLC(u.csnames[a.args[0]].homog,u.csnames[a.args[1]].matrix);a.results=Na(b[0],b[1])};m.IntersectLC.stateSize=Na.stateSize;m.OtherIntersectionCL={};m.OtherIntersectionCL.kind=
+"P";m.OtherIntersectionCL.signature=["C","L","P"];m.OtherIntersectionCL.updatePosition=function(a){var b=u.csnames[a.args[2]].homog,c=m._helper.IntersectLC(u.csnames[a.args[1]].homog,u.csnames[a.args[0]].matrix),d=c[0],c=c[1],e=g.projectiveDistMinScal(d,b),b=g.projectiveDistMinScal(c,b);a.homog=e<b?c:d;a.homog=g.normalizeMax(a.homog);a.homog=w.withUsage(a.homog,"Point")};m.IntersectCirCir={};m.IntersectCirCir.kind="Ps";m.IntersectCirCir.signature=["C","C"];m.IntersectCirCir.updatePosition=function(a){var b=
+u.csnames[a.args[0]].matrix,c=u.csnames[a.args[1]].matrix,d=g.scalmult(c.value[0].value[0],b.value[2]),c=g.scalmult(b.value[0].value[0],c.value[2]),d=g.sub(d,c),d=g.turnIntoCSList([d.value[0],d.value[1],l.realmult(.5,d.value[2])]),d=g.normalizeMax(d),b=m._helper.IntersectLC(d,b);a.results=Na(b[0],b[1])};m.IntersectCirCir.stateSize=Na.stateSize;m.OtherIntersectionCC={};m.OtherIntersectionCC.kind="P";m.OtherIntersectionCC.signature=["C","C","P"];m.OtherIntersectionCC.updatePosition=function(a){var b=
+u.csnames[a.args[0]].matrix,c=u.csnames[a.args[1]].matrix,d=u.csnames[a.args[2]].homog,e=g.scalmult(c.value[0].value[0],b.value[2]),c=g.scalmult(b.value[0].value[0],c.value[2]),e=g.sub(e,c),e=g.turnIntoCSList([e.value[0],e.value[1],l.realmult(.5,e.value[2])]),e=g.normalizeMax(e),e=m._helper.IntersectLC(e,b),b=e[0],e=e[1],c=g.projectiveDistMinScal(b,d),d=g.projectiveDistMinScal(e,d);a.homog=c<d?e:b;a.homog=g.normalizeMax(a.homog);a.homog=w.withUsage(a.homog,"Point")};m._helper.IntersectConicConic=
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+(Mb=a.accuracy);"undefined"!==typeof a.deltat&&sa(a.deltat/.6);"undefined"===typeof a.charges&&(a.charges=!1);"undefined"===typeof a.balls&&(a.balls=!1);"undefined"===typeof a.newton&&(a.newton=!1);"undefined"===typeof a.ballInteractionBoosting&&(a.ballInteractionBoosting=1);O.env=a;a.errorbound=.001;a.lowestdeltat=1E-7;a.slowdownfactor=2},reset:function(a){},resetForces:function(a){},getBlock:!1,setToTimestep:function(a,b,c){},initRK:function(a,b){},setVelocity:function(a,b,c,d){},move:function(a){},
+proceedMotion:function(a,b,c,d){},calculateForces:function(a){var b,c,d,e,f,g,k,l,m,n;if(a.newton)for(b=0;b<ga.length-1;b++)for(c=ga[b],d=c.behavior.x,e=c.behavior.y,f=b+1;f<ga.length;f++)g=ga[f],k=g.behavior.x,l=g.behavior.y,n=Math.sqrt((d-k)*(d-k)+(e-l)*(e-l)),k=(d-k)*c.behavior.mass*g.behavior.mass/(n*n*n),l=(e-l)*c.behavior.mass*g.behavior.mass/(n*n*n),c.behavior.fx-=k,c.behavior.fy-=l,g.behavior.fx+=k,g.behavior.fy+=l;if(a.charges)for(b=0;b<ga.length-1;b++)for(c=ga[b],d=c.behavior.x,e=c.behavior.y,
+f=b+1;f<ga.length;f++)g=ga[f],k=g.behavior.x,l=g.behavior.y,n=Math.sqrt((d-k)*(d-k)+(e-l)*(e-l)),k=(d-k)*c.behavior.charge*g.behavior.charge/(n*n*n),l=(e-l)*c.behavior.charge*g.behavior.charge/(n*n*n),c.behavior.fx+=k,c.behavior.fy+=l,g.behavior.fx-=k,g.behavior.fy-=l;if(a.balls)for(b=0;b<ga.length-1;b++)if(c=ga[b],0!==c.behavior.radius)for(d=c.behavior.x,e=c.behavior.y,f=b+1;f<ga.length;f++)g=ga[f],0!==g.behavior.radius&&(k=g.behavior.x,l=g.behavior.y,m=c.behavior.radius+g.behavior.radius,n=Math.sqrt((d-
+k)*(d-k)+(e-l)*(e-l)),0===a.ballInteractionBoosting?(k=(d-k)/(n*n*n)*(n>m?0:(n-m)*(n-m)),l=(e-l)/(n*n*n)*(n>m?0:(n-m)*(n-m))):1===a.ballInteractionBoosting?(k=(d-k)/(n*n*n*n)*(n>m?0:(n-m)*(n-m)),l=(e-l)/(n*n*n*n)*(n>m?0:(n-m)*(n-m))):(k=(d-k)/(n*n*n*n*n)*(n>m?0:(n-m)*(n-m)),l=(e-l)/(n*n*n*n*n)*(n>m?0:(n-m)*(n-m))),c.behavior.fx+=k,c.behavior.fy+=l,g.behavior.fx-=k,g.behavior.fy-=l);for(b=0;b<ga.length;b++)c=ga[b],c.behavior.fx+=0,c.behavior.fy+=-a.gravity*c.behavior.mass,c.behavior.fz+=0},calculateDelta:function(a,
+b){},savePos:function(a,b){},restorePos:function(a,b){},sqDist:function(a,b,c){return 0},kineticEnergy:function(a){},storePosition:function(a){},recallPosition:function(a){},doCollisions:function(a){}}};return oa};return E}(),createCindy=CindyJS;"undefined"!==typeof process&&"undefined"!==typeof module&&"undefined"!==typeof module.exports&&"undefined"===typeof window&&(module.exports=CindyJS);
+//# sourceMappingURL=Cindy.js.map
diff --git a/Master/texmf-dist/doc/support/ketcindy/CindyJS/CindyJS.css b/Master/texmf-dist/doc/support/ketcindy/CindyJS/CindyJS.css
new file mode 100644
index 00000000000..2fdefb34c40
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/CindyJS/CindyJS.css
@@ -0,0 +1,121 @@
+.CindyJS-toolbar button, .CindyJS-animbuttons button, .CindyJS-button button, .CindyJS-button label {
+  background-color: #bfc4d0;
+  border: 1px solid #d0d0d0;
+  box-shadow: inset 1px 1px 2px #fff, inset -1px -1px 2px #aaa;
+  outline: none; }
+
+.CindyJS-toolbar button:active, .CindyJS-animbuttons button:active, .CindyJS-toolbar button.CindyJS-active, .CindyJS-animbuttons button.CindyJS-active, .CindyJS-button button:active, .CindyJS-button label:active, .CindyJS-button input[type=checkbox]:checked + label {
+  background-color: #aaafbb;
+  box-shadow: inset 1px 1px 2px #999, inset -1px -1px 2px #ccc; }
+
+.CindyJS-toolbar, .CindyJS-animbuttons {
+  line-height: 0px; }
+  .CindyJS-toolbar button, .CindyJS-animbuttons button {
+    display: inline-block;
+    margin: 0px;
+    padding: 0px; }
+  .CindyJS-toolbar button:focus, .CindyJS-animbuttons button:focus {
+    border-color: #06f; }
+  .CindyJS-toolbar img, .CindyJS-animbuttons img {
+    margin: 0px;
+    border: none;
+    display: block; }
+
+.CindyJS-widget {
+  overflow: hidden;
+  z-index: 0; }
+  .CindyJS-widget canvas {
+    z-index: 1; }
+  .CindyJS-widget .CindyJS-baseline {
+    margin: 0px;
+    padding: 0px;
+    border: none;
+    position: absolute;
+    white-space: nowrap;
+    margin-top: -1000px; }
+    .CindyJS-widget .CindyJS-baseline > img {
+      margin: 0px;
+      padding: 0px;
+      border: none;
+      display: inline;
+      position: static;
+      vertical-align: baseline;
+      visibility: hidden;
+      margin-right: -1px; }
+    .CindyJS-widget .CindyJS-baseline .CindyJS-button {
+      display: inline-block; }
+  .CindyJS-widget .CindyJS-button {
+    position: relative;
+    z-index: 2; }
+  .CindyJS-widget .CindyJS-toolbar, .CindyJS-widget .CindyJS-animbuttons {
+    position: absolute; }
+    .CindyJS-widget .CindyJS-toolbar button, .CindyJS-widget .CindyJS-animbuttons button {
+      position: relative;
+      z-index: 3; }
+  .CindyJS-widget .CindyJS-animspeed {
+    position: relative;
+    z-index: 3; }
+  .CindyJS-widget .CindyJS-animcontrols {
+    bottom: 5px;
+    left: 5px; }
+
+.CindyJS-button input[type=checkbox] {
+  position: absolute;
+  left: -10000px; }
+
+.CindyJS-button button, .CindyJS-button label {
+  margin: -6px -7px;
+  padding: 5px 6px;
+  border-radius: 4px; }
+
+.CindyJS-button button:focus, .CindyJS-button input[type=checkbox]:focus + label {
+  box-shadow: 0px 0px 3px #06f, inset 1px 1px 2px #fff, inset -1px -1px 2px #aaa; }
+
+.CindyJS-button button:focus:active, .CindyJS-button input[type=checkbox]:focus:checked + label {
+  background-color: #aaafbb;
+  box-shadow: 0px 0px 3px #06f, inset 1px 1px 2px #999, inset -1px -1px 2px #ccc; }
+
+.CindyJS-editabletext {
+  border: 1px solid #000;
+  margin: -4px -4px -1px;
+  padding: 4px 4px 1px; }
+  .CindyJS-editabletext:focus {
+    box-shadow: 0px 0px 3px #06f; }
+
+.CindyJS-toolbar div {
+  line-height: 0px; }
+
+.CindyJS-toolbar span.CindyJS-spacer {
+  display: inline-block;
+  margin: 0px;
+  padding: 1px;
+  width: 32px;
+  height: 24px; }
+
+.CindyJS-animcontrols {
+  position: absolute;
+  background-color: #00f;
+  height: 36px;
+  width: 102px; }
+  .CindyJS-animcontrols .CindyJS-animspeed {
+    height: 10px;
+    width: 100%;
+    border-radius: 4px;
+    background-color: #ff7f7f;
+    box-shadow: inset 1px 1px 2px #999, inset -1px -1px 2px #ccc; }
+    .CindyJS-animcontrols .CindyJS-animspeed div {
+      width: 50%;
+      height: 100%;
+      border-radius: 4px;
+      background-color: #cc0000;
+      box-shadow: inset 1px 1px 2px #fff, inset -1px -1px 2px #aaa; }
+  .CindyJS-animcontrols .CindyJS-animbuttons {
+    white-space: nowrap; }
+
+.CindyJS-animbuttons button {
+  border-radius: 4px;
+  width: 34px;
+  height: 26px;
+  box-sizing: border-box; }
+
+/*# sourceMappingURL=CindyJS.css.map */
\ No newline at end of file
diff --git a/Master/texmf-dist/doc/support/ketcindy/CindyJS/ketcindylib.txt b/Master/texmf-dist/doc/support/ketcindy/CindyJS/ketcindylib.txt
new file mode 100644
index 00000000000..72469da831a
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/CindyJS/ketcindylib.txt
@@ -0,0 +1,6419 @@
+// 17.08.26  Slider
+// 16.11.27
+Ketinit():=Ketinit(1);
+Ketinit(sy):=Ketinit(sy,[-5,5],[-5,5]);
+Ketinit(sy,rangex,rangey):=(
+  regional(pt,tmp,tmp1,tmp2);
+  PenThickInit=8;
+  ULEN="1cm";
+  KETPICLAYER=20;
+  MilliIn=1/2.54*1000;
+  PenThick=round(MilliIn*0.02);
+  PenThickInit=PenThick;
+  TenSizeInit=0.02;
+  TenSize=TenSizeInit;
+  YaSize=1; YaAngle=18; YaPosition=1;
+  YaThick=1; YaStyle='tf';
+  KETPICCOUNT=1;
+  KCOLOR=[0,0,0];
+  GLIST=[];
+  GCLIST=[];
+//  GDATALIST=[];
+  GOUTLIST=[];
+  POUTLIST=[];
+  VLIST=[];
+  FUNLIST=[];
+  LETTERlist=[];
+  COM0thlist=[];
+  COM1stlist=[];
+  COM2ndlist=[];
+  SCIWRLIST=[];
+  SCIRELIST=[];
+  ADDAXES="1";
+  LFmark=unicode("000a");
+  Dq=unicode("0022");
+  WaitUnit=10;
+  CONTINUED=0;
+  OutComList=[];
+  OutFileLIst=[];   // 15.10.22
+  FigPdfList=[];  // 16.04.08
+  ADDPACK=[]; // 16.05.16
+  ErrFlag=0;
+  setdirectory(Dirwork);
+  if(isstring(Fhead),    // 15.04.06
+    Fnametex=Fhead+".tex";
+    Fnamesci=Fhead+".sce";
+    Fnamescibody=Fhead+"body.sce";
+    Fnameout=Fhead+".txt";
+  );
+  if(!isstring(Mackc),// 16.06.07
+    Mackc="sh"; 
+  );
+  ArrowlineNumber=1;  // 15.01.05
+  ArrowheadNumber=1;
+  BezierNumber=1; //15.01.03
+  SCALEX=1;
+  SCALEY=sy;
+//  Setscaling(sy);
+  XMIN=rangex_1/SCALEX;
+  XMAX=rangex_2/SCALEX;
+  YMIN=rangey_1/SCALEY;
+  YMAX=rangey_2/SCALEY;
+  Setwindow("Msg=n"); // 16.05.31
+);
+
+DqDq(str):=unicode("0022")+str+unicode("0022");
+
+Tab2list(dtstr):=Tab2list(dtstr,[]);
+Tab2list(dtstr,options):=(
+//help:Tab2list(datastr);
+//help:Tab2list(options=[0]);
+  regional(dtall,dt,rep,out,crm,lfm,htm,first,tmp,tmp1,tmp2);
+  crm=unicode("000d");
+  lfm=unicode("000a");
+  htm=unicode("0009");
+  rep=0;
+  if(length(options)>0,rep=options_1);
+  first=lfm; // 16.09.05from
+  if(indexof(dtstr,crm)>0,
+    first=crm;
+    if(indexof(dtstr,crm+lfm)>0,
+      first=first+lfm;
+    ); // 16.09.05upto
+  );
+  tmp1=Indexall(dtstr,first);
+  tmp1=prepend(0,tmp1);
+  tmp1=append(tmp1,length(dtstr));
+  dtall=[];
+  forall(1..(length(tmp1)-1),
+    tmp=substring(dtstr,tmp1_#,tmp1_(#+1)-1);
+    if(length(tmp)>0,
+      dtall=append(dtall,tmp);
+    );
+  );
+  out=[];
+  forall(dtall,dt,
+    tmp1=tokenize(dt,unicode("0009"));
+    tmp2=[];
+    forall(tmp1,
+      if(isstring(#),tmp=parse(#),tmp=#);
+      if(!isreal(tmp),
+        if(length(#)>0,tmp=#,tmp=rep);
+      );
+      tmp2=append(tmp2,tmp);
+    );
+    out=append(out,tmp2);
+  );
+  out;
+);
+
+Columnlist(dt,list):=( // 16.09.04
+//help:Columnlist(dt,1..3);
+  apply(dt,#_list);
+);
+
+Dispmat(dt):=( // 16.09.16
+//help:Dispmat(dt);
+  regional(htm,crm,lfm,row,tmp,tmp1,tmp2);
+  htm=unicode("0009");
+  crm=unicode("000d");
+  lfm=unicode("000a");
+  tmp2="";
+  forall(dt,row,
+    tmp1="";
+    forall(row,
+      if(isstring(#),
+        tmp1=tmp1+#+htm;
+      ,
+        tmp1=tmp1+text(#)+htm;
+      );
+    );
+    tmp1=substring(tmp1,0,length(tmp1)-1);
+    tmp1=tmp1+lfm;
+    tmp2=tmp2+tmp1;
+  );
+  print(tmp2);
+  println();
+);
+
+norm(v1):=(  // 16.09.01
+//help:norm([2,1,3]);
+  regional(out,tmp,tmp1,tmp2);
+  out=0;
+  forall(1..length(v1),
+    out=out+(v1_#)^2;
+  );
+  out=sqrt(out);
+  out;
+);
+norm(v1,v2):=(
+  norm(v2-v1);
+);
+
+// 16.03.28
+Removespace(str):=(
+//help:Removespace(" a b c  ");
+  regional(tmp,flg,out);
+  tmp=length(str)+1;
+  flg=0;
+  forall(1..length(str),
+    if(flg==0,
+      if((str_#)!=" ",
+        tmp=#;
+        flg=1;
+      );
+    );
+  );
+  out=substring(str,tmp-1,length(str));
+  flg=0;
+  tmp=0;
+  forall(reverse(1..length(out)),
+    if(flg==0,
+      if((out_#)!=" ",
+        tmp=#;
+        flg=1;
+      );
+    );
+  );
+  out=substring(out,0,tmp);
+);
+
+Indexall(str,key):=(
+  regional(rest,out,flg,tmp,tmp1,);
+  out=[];
+  rest=str;
+  flg=0;
+  forall(1..length(str),
+    if(flg==0,
+      tmp=indexof(rest,key);
+      if(tmp>0,
+        tmp1=tmp+length(str)-length(rest);
+        out=append(out,tmp1);
+        rest=substring(rest,tmp,length(rest));
+      ,
+        flg=1;
+      );
+    );
+  );
+  out;
+);
+
+Changestyle(nameL,style):=(
+//help:Changestyle(["sgAB"],["da"]);
+  regional(nmL,name,Ltype,Ltypeorg,Noflg,opcindy,tmp);
+  tmp=Divoptions(style);
+  Ltypeorg=tmp_1;
+  Noflg=tmp_2;
+  opcindy=tmp_(length(tmp));
+  if(islist(nameL),nmL=nameL,nmL=[nameL]);
+  forall(nmL,name,
+    Ltype=Ltypeorg;
+    GCLIST=select(GCLIST,#_1!=name);
+    COM2ndlist=select(COM2ndlist,indexof(#,"("+name)==0); // 15.05.23
+    if(Noflg<2,
+      if(isstring(Ltype),
+        Ltype=GetLinestyle(text(Noflg)+Ltype,name);
+      ,
+        if(Noflg==1,Ltype=0);
+      );
+      GCLIST=append(GCLIST,[name,Ltype,opcindy]);
+    );
+  );
+);
+
+Op(n,object):=( //  16.05.25
+//help:Op(4,[1,2,3,4]);
+//help:Op(3,"abcd");
+  regional(out);
+  if(islist(object),
+    out=object_n;
+  ,
+    if(isstring(object),
+      out=substring(object,n-1,n);
+    );
+  );
+  out;
+);
+
+Toupper(str):=(
+  regional(alphabet,out,tmp,tmp1);
+  alphabet="abcdefghijklmnopqrstuvwxyz";
+  out="";
+  forall(1..length(str),
+    tmp=substring(str,#-1,#);
+    tmp1=indexof(alphabet,tmp);
+    if(tmp1>0,
+      out=out+unicode(text(tmp1+64),base->10);
+    ,
+      out=out+tmp;
+    );
+  );
+  out;
+);
+
+Textformat(value,dig):=(
+//help:Textformat(2/3,4);
+//help:Textformat([gr1,gr2],5);
+  regional(vv,tmp,tmp1);
+  if(islist(value),
+    tmp1="[";
+    forall(value,
+      tmp1=tmp1+Textformat(#,dig)+",";
+    );
+    tmp1=substring(tmp1,0,length(tmp1)-1)+"]";
+  ,
+    if(ispoint(value) % isstring(value),
+//      vv=Lcrd(value);
+//      tmp1=Textformat(vv,dig);
+//      tmp1=text(value);  // 15.04.07
+      if(isstring(value),tmp1=Dq+value+Dq,tmp1=text(value)); // 15.10.02
+    ,
+      tmp1=format(value,dig);
+    );
+  );
+  tmp1;
+);
+
+Sprintf(value,dig):=(
+//help:Sprintf(5.1,4);
+  regional(vv,tmp,tmp1);
+  if(!islist(value),
+    vv=Textformat(value,dig);
+    if(indexof(vv,".")==0,vv=vv+".");
+    vv=vv+"0000000000000000";
+    tmp=indexof(vv,".")+dig;
+    vv=substring(vv,0,tmp);
+  ,
+    vv=apply(value,Sprintf(#,dig));
+  );
+  vv;
+);
+
+Assign(funstr,vrL):=(
+  regional(nn,out,tmp,tmp1);
+  nn=length(vrL)/2;
+  out=funstr;
+  forall(1..nn,
+    out=Assign(out,vrL_(2*#-1),vrL_(2*#));
+  );
+  out;
+);
+
+Assign(funstr,varname,rep):=(
+//help:Assign("x^2+a*x","a",1.3);
+//help:Assign("a*x^2+b*x",["a",1,"b",2]);
+  regional(repstr,ii,jj,tmp,tmp1,tmp2,Notvar,Flg);
+  if(isstring(rep),repstr=rep,repstr="("+Textformat(rep,5)+")"); // 15.02.09, 07.06
+  tmp=[46];  // 12.20
+  tmp=concat(tmp,48..57);
+  tmp=concat(tmp,65..90);
+  tmp=concat(tmp,97..122);
+  Notvar=apply(tmp,unicode(text(#),base->10));
+  tmp2="";
+  forall(1..100,
+    ii=indexof(funstr,varname);
+    if(ii>0,
+      Flg=0;
+	  if(ii>1,
+        tmp=substring(funstr,ii-2,ii-1);
+        if(contains(Notvar,tmp),
+          tmp2=tmp2+substring(funstr,0,ii);
+          funstr=substring(funstr,ii,length(funstr));
+          Flg=1;
+        );
+      );
+      if(Flg==0,
+        jj=ii-1+length(varname);
+        if(jj<length(funstr),
+          tmp=substring(funstr,jj,jj+1));
+          if(contains(Notvar,tmp),
+          tmp2=tmp2+substring(funstr,0,jj);
+          funstr=substring(funstr,jj,length(funstr));
+          Flg=1;
+        );
+      );
+      if(Flg==0,
+        tmp2=tmp2+substring(funstr,0,ii-1)+repstr;
+        funstr=substring(funstr,jj,length(funstr));
+      );
+    );
+  );
+  funstr=tmp2+funstr;
+  funstr;
+);
+
+MeasureDepth(list):=(
+  regional(tmp,Depth,Flg);
+  Flg=0;
+  Depth=0;
+  if(ispoint(list),  // 15.01.22
+    Depth=0;
+    Flg=1;
+  ,
+    tmp=list_1;
+  );
+  repeat(4,
+    if(Flg==0,
+      if(islist(tmp),
+        tmp=tmp_1;
+        Depth=Depth+1;
+      ,
+        if(ispoint(tmp),Depth=Depth+1);
+        Flg=1;
+      );
+    );
+  );
+  Depth;
+);
+
+Flattenlist(pltlist):=(
+//help:Flattenlist([[2,3],[[1,2],[5,6]]]);
+  regional(Out,nn,Dt,ii,tmp,flg);
+  Out=[];
+  if(MeasureDepth(pltlist)==1,
+    Out=[pltlist];
+  ,
+    forall(1..length(pltlist),nn,
+      Dt=pltlist_nn;
+      if(MeasureDepth(Dt)<2,
+        Out=append(Out,Dt);
+      ,
+        forall(1..length(Dt),ii,
+          tmp=Flattenlist(Dt_ii);
+          Out=concat(Out,tmp);
+        );
+      );
+    );
+  );
+  Out;
+);
+
+Divoptions(options):=(
+//help:Divoptions(options);
+  regional(Ltype,Noflg,Inflg,Outflg,eqL,realL,strL,opstr,opcindy,flg,tmp,tmp1);
+  Ltype="dr";  // 2015.01.13
+  Noflg=0;
+  Inflg=0;
+  Outflg=0;
+  eqL=[];
+  realL=[];
+  strL=[];
+  opstr="";
+  opcindy="";
+  forall(options,
+    flg=0;
+    if(flg==0,
+      if(isreal(#) % ispoint(#) % islist(#),
+        realL=append(realL,#);
+        opstr=opstr+","+text(#);
+        flg=1;
+      );
+    );
+    if(flg==0,
+      if(indexof(#,"=")>0,
+        eqL=append(eqL,#);
+        flg=1; 
+      );
+    );
+    if(flg==0,
+      if(indexof(#,"no")+indexof(#,"No")>0,
+        if(indexof(#,"tex")>0,Noflg=1);
+        if(indexof(#,"disp")>0,Noflg=2);
+        if(indexof(#,"data")>0,Noflg=3);
+        flg=1;
+      );
+    );
+    if(flg==0,
+      if(indexof(#,"->")>0,
+        opcindy=opcindy+","+#;
+        flg=1; 
+      );
+    );
+    if(flg==0,
+      if(indexof(#,"out")+indexof(#,"Out")>0,
+        if(indexof(#,"-")==0,
+          Outflg=1;
+        ,
+          Outflg=2;
+        );
+        flg=1;
+      );
+    );
+    if(flg==0,
+      if(indexof(#,"in")+indexof(#,"In")>0,
+        if(indexof(#,"-")==0,
+          Inflg=1;
+        ,
+          Inflg=2;
+        );
+        flg=1;
+      );
+    );
+    if(flg==0,
+      tmp=substring(#,0,2);
+      tmp1=indexof(tmp,"dr")+indexof(tmp,"Dr");
+      tmp1=tmp1+indexof(tmp,"da")+indexof(tmp,"Da");
+      tmp1=tmp1+indexof(tmp,"id")+indexof(tmp,"Id");
+      tmp1=tmp1+indexof(tmp,"do")+indexof(tmp,"Do");
+      tmp1=tmp1+indexof(tmp,"dp")+indexof(tmp,"Dp");
+      if(tmp1>0,
+        Ltype=#;
+        flg=1;
+      );
+    if(flg==0,
+        strL=append(strL,#);
+        opstr=opstr+","+Dq+#+Dq;
+      );
+    );
+  );
+  if(indexof(opcindy,"color->")==0,// 16.10.07from
+    opcindy=opcindy+",color->[0,0,0]";
+  );
+  [Ltype,Noflg,Inflg,Outflg,eqL,realL,strL,opstr,opcindy];
+);
+
+Dotprod(vec1,vec2):=(
+//help:Dotprod(vec1,vec2);
+  regional(v1,v2,tmp);
+  if(ispoint(vec1),v1=vec1.xy,v1=vec1);
+  if(ispoint(vec2),v2=vec2.xy,v2=vec2);
+  v1*v2;
+);
+
+Crossprod(a,b):=(
+//help:Crossprod(vec1,vec2);
+  regional(tmp1,tmp2,tmp3,Out);
+  if(length(a)==3,
+    tmp1=a_2*b_3-a_3*b_2;
+    tmp2=a_3*b_1-a_1*b_3;
+    tmp3=a_1*b_2-a_2*b_1;
+    Out=[tmp1,tmp2,tmp3];
+  ,
+    Out=a_1*b_2-a_2*b_1;
+  );
+  Out;
+);
+
+Ptstart(Fig):=(
+//help:Ptstart("gr1");
+  regional(tmp);
+  if(isstring(Fig),tmp=parse(Fig),tmp=Fig);  // 16.01.21
+  tmp_1;
+);
+
+Ptend(Fig):=(
+//help:Ptend("gr1");
+  regional(tmp);
+  if(isstring(Fig),tmp=parse(Fig),tmp=Fig);
+  tmp_(length(tmp)); // 15.04.12
+);
+
+Numptcrv(Fig):=(
+//help:Numptcrv("gr1");
+  regional(tmp);
+  if(isstring(Fig),tmp=parse(Fig),tmp=Fig);  // 15.12.23
+  length(tmp);
+);
+
+Ptcrv(Num,Fig):=(
+//help:Ptcrv(10,"gr1");
+  regional(tmp);
+  if(isstring(Fig),tmp=parse(Fig),tmp=Fig);
+  tmp_Num;
+);
+
+Invert(Fig):=(
+//help:Invert("gr1");
+  regional(tmp);
+  if(isstring(Fig),tmp=parse(Fig),tmp=Fig); // 16.01.27
+  reverse(tmp);
+);
+Invert(nm,Fig):=Invert(nm,Fig,["nodisp"]);  // from 16.01.27
+Invert(nm,Fig,options):=(
+//help:Invert("1","gr1");
+  regional(name,tmp);
+  name="-inv"+nm;
+  tmp=Invert(Fig);
+  Listplot(name,tmp,options);
+);// upto 16.01.27
+
+Paramoncrv(pP,Gdata):=(
+  regional(Tmp,PtL);
+//  Eps=10^(-8);
+  if(isstring(Gdata),PtL=parse(Gdata),PtL=Gdata);
+  Tmp=Nearestpt(pP,PtL);
+  Tmp_2;
+);
+
+ParamonCurve(pP,nN,plist):=(
+//help:ParamonCurve(A,10,"gr1");
+  regional(PtL,Out,Pa,Pb,vV,vW,sS);
+  if(isstring(plist),PtL=parse(plist),PtL=plist);
+  PtL=apply(PtL,LLcrd(#));//16.10.16
+  if(nN==length(PtL),
+    Out=nN;
+  ,
+    Pa=PtL_nN;
+    Pb=PtL_(nN+1);
+    vV=Pb-Pa;
+    vW=pP-Pa;
+    sS=vV*vW/|vV|^2;
+    sS=min([max([sS,0]),1]);
+    Out=nN+sS;
+  );
+  Out;
+);
+
+Pointoncrv(tT,PtL):=PointonCurve(tT,PtL);
+PointonCurve(tT,Gdata):=(
+//help:PointonCurve(20.5,"gr1");
+  regional(Out,Eps,nN,sS,Pa,Pb,PtL);
+  if(isstring(Gdata),PtL=parse(Gdata),PtL=Gdata);
+  if(length(PtL)==1,PtL=PtL_1);
+  Eps=10^(-4);
+  nN=floor(tT+Eps);
+  sS=max([tT-nN,0]);
+  if(nN==length(PtL),
+    Out=PtL_nN;
+  ,
+    Pa=PtL_nN;
+    Pb=PtL_(nN+1);
+    Out=(1-sS)*Pa+sS*Pb;
+  );
+  Out;
+);
+
+Koutenseg(pA,pB,pC,pD):=Koutenseg(pA,pB,pC,pD,[]);
+Koutenseg(pA,pB,pC,pD,options):=(
+  regional(Eps0,Eps,Eps2,pV,Sv2,Out,pP,pQ,Flg,p1,p2,q1,q2,
+          em1,eM1,em2,eM2,rT,Tmp1,Tmp2);
+  Eps0=10^(-4);
+  pV=pB-pA;
+  Sv2=|pV|;
+  pP=pC-pA; pQ=pD-pA;
+  Eps=10^(-3);
+  Eps2=0.2;
+  Tmp1=0;
+  forall(options,
+    if(Tmp1==0,
+      Eps=#;
+      Tmp1=1;
+    ,
+      Eps2=#;
+    );
+  );
+  Flg=0;
+  if(Sv2<10^(-3),
+     Out=["inf","inf"];
+     Flg=1;
+  );
+  if(Flg==0,
+    Eps=min([Eps2,Eps/Sv2]);
+    p1=pP*pV/Sv2^2;
+    p2=[pP_2,-pP_1]*pV/Sv2^2;
+    q1=pQ*pV/Sv2^2;
+    q2=[pQ_2,-pQ_1]*pV/Sv2^2;
+    em1=-Eps; eM1=1+Eps;
+    em2=-Eps; eM2=Eps;
+    if(max([p1,q1])<em1 % min([p1,q1])>eM1,
+      Out=["inf","inf"];
+      Flg=1;
+    );
+    if(max([p2,q2])<em2 % min([p2,q2])>eM2,
+      Out=["inf","inf"];
+      Flg=1;
+    );
+  );
+  if(Flg==0 & p2*q2<0,
+    rT=p1-(q1-p1)/(q2-p2)*p2;
+    if(rT>em1 & rT<eM1,
+      if(rT>-Eps0 & rT<1+Eps0,
+        Tmp1=pA+rT*pV;
+        Tmp2=min([max([rT,0]),1]);
+        Out=[Tmp1,Tmp2,0];
+      ,
+        Tmp1=pA+rT*pV;
+        Tmp2=min([max([rT,0]),1]);
+        Out=[Tmp1,Tmp2,1];
+      );
+      Flg=1;
+    );
+    if(Flg==0 & (p1<em1 % p1>eM1 % p2<em2 % p2>eM2),
+      if(q1<em1 % q1>eM1 % q2<em2 % q2>eM2,
+         Out=["inf","inf"];
+         Flg=1;
+      );
+      if(Flg==0,
+        rT=min([max([p1,0]),1]);
+        Tmp1=pA+rT*pV;
+        Out=[Tmp1,rT,1];
+        Flg=1;
+      );
+    );
+  );
+  if(Flg==0 & (p1 > -Eps0 & p1 < 1 + Eps0 & p2 > -Eps0 & p2 < Eps0),
+    rT= p1;
+    Tmp1=pA+rT*pV;
+    Out= [Tmp1, rT, 0];
+    Flg=1;
+  );
+  if(Flg==0 & (q1 > -Eps0 & q1 < 1 + Eps0 & q2 > -Eps0 & q2 < Eps0),
+    rT= q1;
+    Tmp1=pA+rT*pV;
+    Out=[Tmp1,rT,0];
+    Flg=1;
+  );
+  if(Flg==0 & (p1<em1 %  p1>eM1 % p2<em2 % p2>eM2),
+    if(q1<em1 % q1>eM1 % q2<em2 % q2>eM2,
+      Out=["inf","inf"];      
+      Flg=1;
+    );
+    if(Flg==0,
+      rT=min([max([q1,0]),1]);
+      Tmp1=pA+rT*pV;
+      Out=[Tmp1,rT,1];
+      Flg=1;
+    );
+  );
+  if(Flg==0 & (q1<em1 %  q1>eM1% q2<em2 % q2>eM2),
+    rT=min([max([p1,0]),1]);
+    Tmp1=pA+rT*pV;
+    Out=[Tmp1,rT,1];
+    Flg=1;
+  );
+  if(Flg==0,
+    if(abs(p2)<abs(q2),
+      rT=min([max([p1,0]),1]);
+    ,
+      rT=min([max([q1,0]),1]);
+    );
+    Tmp1=pA+rT*pV;
+    Out=[Tmp1,rT,1];
+  );
+ Out;
+);
+
+IntersectcrvsPp(Gr1,Gr2):=IntersectcrvsPp(Gr1,Gr2,[]);
+IntersectcrvsPp(Gr1,Gr2,options):=(
+//help:IntersectcrvsPp("gr1","pa1");
+  regional(Out,Eps,Eps2,Eps0,Flg,Data1,Data2,
+    Tmp1,Tmp2,Tmp3,Tmp,KL1,KL2,pA,pB,Ni,Nj,
+    pP,pQ,rT,Flg,eqL,realL,opstr,Dif);
+  Eps=10^(-4);
+  Eps2=0.1;
+  Dif=0.05; // 2015.05.31
+  Flg=0;
+  Tmp1=Divoptions(options); // 
+  eqL=Tmp1_5;
+  realL=Tmp1_6;
+  opstr=Tmp1_(length(Tmp1));
+  forall(eqL,
+    if(substring(#,0,1)=="D",
+      Tmp1=indexof(#,"=");
+      Dif=parse(substring(#,Tmp1,length(#)));
+    );
+  );
+  Tmp1=length(realL);
+  if(Tmp1>0,
+    Eps=realL_1;
+    if(Tmp1>1,
+      Eps2=realL_2;
+    );
+  );
+  Flg=0;
+  if(isstring(Gr1),Data1=parse(Gr1),Data1=Gr1);
+  if(isstring(Gr2),Data2=parse(Gr2),Data2=Gr2);
+  if(MeasureDepth(Data1)==2,Data1=Data1_1);
+  if(MeasureDepth(Data2)==2,Data2=Data2_1);
+  Data1=apply(Data1,LLcrd(#));
+  Data2=apply(Data2,LLcrd(#));
+  if(length(Data1)==length(Data2),
+    Tmp1=Reverse(Data2); 
+    Eps0=10^(-6);
+    Tmp2=0;
+    forall(1..length(Data1),
+      Tmp2=Tmp2+abs(Data1_#-Data2_#);
+    );
+    Tmp3=0;
+    forall(1..length(Data1),
+      Tmp3=Tmp3+abs(Data1_#-Tmp1_#);
+    );
+    if(Tmp2<Eps0 % Tmp3<Eps0,
+      Out=[];
+      Flg=1;
+    );
+  );
+  if(Flg==0,
+    KL1=[];
+    KL2=[];
+    forall(1..(length(Data1)-1),Ni,
+      pA=Data1_Ni;
+      pB=Data1_(Ni+1);
+      forall(1..(length(Data2)-1),
+        pP=Data2_#; pQ=Data2_(#+1);
+        Tmp=Koutenseg(pA,pB,pP,pQ,[Eps,Eps2]);
+        if(Tmp!=["inf","inf"],
+          if(Tmp_3==0,
+            Tmp1=[Tmp_1,Tmp_2,Ni,#];
+            KL1=concat(KL1,[Tmp1]);
+          ,
+            Tmp2=[Tmp_1,Tmp_2,Ni,#];
+            KL2=concat(KL2,[Tmp2]);
+          );
+        );
+      );
+    );
+    Out=[];
+    if(length(KL1)>0,
+      Tmp=KL1_1;
+      pP=Tmp_1;
+      rT=Tmp_2;
+      Ni=Tmp_3;
+      Nj=Tmp_4;
+      Tmp=[pP,Ni+rT,Nj];
+      Out=[Tmp];
+    );
+    forall(2..length(KL1),Ni, 
+      Tmp=KL1_Ni; 
+      pP=Tmp_1;
+      Tmp2=0;
+      Flg=0;
+      forall(1..length(Out),Nj,
+        if(Flg==0,
+          Tmp=Out_Nj;
+          if(|pP-Tmp_1|<Eps,
+            Tmp2=1;
+            Flg=1;
+          );
+        );
+      );
+      if(Tmp2==0,
+        Tmp=KL1_Ni; 
+        pP=Tmp_1;
+        rT=Tmp_2;
+        Tmp1=Tmp_3;
+        Tmp2=Tmp_4;
+        Tmp=[pP,Tmp1+rT,Tmp2];
+        Out=concat(Out,[Tmp]);
+      );
+    );
+    forall(1..length(KL2),Ni,
+      Tmp=KL2_Ni;  // 15.11.21 Usui
+      pP=Tmp_1; 
+      Tmp2=0;
+      Flg=0;
+      forall(1..length(Out),Nj,
+        if(Flg==0,
+          Tmp=Out_Nj;
+          if(|pP-Tmp_1|<Eps,
+            Tmp2=1;
+            Flg=1;
+          );
+        );
+      );
+      if(Tmp2==0,
+        Tmp=KL2_Ni;
+        rT=Tmp_2;
+        rT=min([max([rT,0]),1]);  // 15.11.21 Usui
+        Tmp=[pP,Tmp_3+rT,Tmp_4];
+        Out=concat(Out,[Tmp]);
+      );
+    );
+  );
+  Tmp1=Out;  // 15.04.06 from
+  Out=[];
+  forall(Tmp1,Tmp2,
+    Tmp3=select(1..(length(Out)),|Out_#_1-Tmp2_1|<Dif);//16.11.27
+    if(length(Tmp3)==0,
+      Out=append(Out,Tmp2);
+    ,
+      forall(Tmp3,//16.11.27
+        Out_#=(Out_#+Tmp2)/2;
+      );
+    );
+  ); // 15.04.06 upto
+  Out;
+);
+
+Intersectcrvs(Gr1,Gr2):=Intersectcrvs(Gr1,Gr2,[]);
+//help:Intersectcrvs("gr1","pa1");
+Intersectcrvs(Gr1,Gr2,options):=(
+  regional(tmp,tmp1,tmp2);
+  tmp1=IntersectcrvsPp(Gr1,Gr2,options);
+  apply(tmp1,#_1);
+);
+
+NearestptcrvPhy(point,PL):=(
+  regional(tmp,pP,plist);
+  pP=Pcrd(point);
+  if(isstring(PL),plist=parse(PL),plist=PL);
+  if(MeasureDepth(plist)==2,plist=plist_1);
+  plist=apply(plist,#);  // 14.12.18
+  tmp=Nearestpt(pP,plist);
+  tmp=tmp_1;
+  [tmp_1/SCALEX,tmp_2/SCALEY];
+);
+
+Nearestptcrv(point,plist):=(
+//help:Nearestptcrv(A,"gr1");
+  regional(tmp);
+  tmp=Nearestpt(point,plist);
+  tmp_1;
+);
+
+Nearestpt(point,PL2):=(
+  regional(PL1,PL,Ans,Flg,Eps,pA,Pm,Im,Sm,Nn,Ni,
+      a1,b1,a2,b2,v1,v2,x1,x2,Tmp,rT,pP,sS,Lm,Pm,Sm,Flg);
+//help:Nearestpt("gr1","gr2");
+  if(isstring(point),PL1=parse(point),PL1=point);
+  if(MeasureDepth(PL1)==2,PL1=PL1_1);
+  if(!islist(PL1_1),
+    PL1=[PL1];
+    Flg=0;
+  ,
+    Flg=1;
+  );
+  if(isstring(PL2),PL=parse(PL2),PL=PL2);
+  if(MeasureDepth(PL)==2,PL=PL_1);
+  Eps=10^(-6);
+  Ans=[PL1_1,1,PL_1,1,|PL1_1-PL_1|];
+  forall(1..length(PL1),Nn, // 16.05.04
+    pA=PL1_Nn;
+    Pm=PL_1;
+    Im=1;
+    Sm=|Pm-pA|;
+    forall(1..(length(PL)-1),Ni,
+      a1=PL_Ni_1; a2=PL_Ni_2;
+      b1=PL_(Ni+1)_1; b2=PL_(Ni+1)_2;
+      v1=b1-a1; v2=b2-a2;
+      x1=pA_1; x2=pA_2;
+      Tmp=v2^2+v1^2;
+      if(abs(Tmp)>Eps,
+        rT=(-a2*v2-v1*a1+v1*x1+x2*v2)/Tmp;
+        if(rT<-Eps,
+          pP=[a1,a2];
+        ,
+          if(rT>1+Eps,
+            pP=[b1,b2];
+          ,
+            pP=[a1+rT*v1,a2+rT*v2];
+          );
+        );
+        sS=|pP-pA|;
+        if(sS<Sm-Eps,
+          Tmp=ParamonCurve(pP,Ni,PL);
+          Pm=pP; Lm=Tmp; Sm=sS;
+        );
+      );
+      if(Sm<Ans_5,  // 16.05.03from
+        Ans=[pA,Nn,Pm,Lm,Sm];
+      );
+    );  // 16.05.03upto
+  );
+  if(Flg==0,
+    Ans=Ans_(3..5);
+  );
+  Ans;
+);
+
+Derivative(fun,var,value):=(
+//help:Derivative("x^3","x",2);
+  regional(str,tmp);
+  str="d(";
+  str=str+replace(fun,var,"#")+",";
+  str=str+value+")";
+  tmp=Pcrd([1,parse(str)]);  // 14.11.08
+  tmp_2;
+);
+
+Integrate(pltdata,range):=Integrate(pltdata,range,[]);
+Intergrate(Arg1,Arg2,Arg3):=(
+  regional(pltdata,range,options,fnstr,vartr);
+  if(islist(Arg2),
+    pltdata=Arg1;
+    range=Arg2;
+    options=Arg3;
+    Integrate(pltdata,range,options);
+  ,
+    fnstr=Arg1;
+    vastr=Arg2;
+    range=Arg3;
+    Integrate(fnstr,vastr,range,[]);    
+  );
+);
+
+Integrate(pltdata,range,options):=(
+//help:Integrate("gr1",[1,3]);
+//help:Integrate("gr1",[1,3],["Rule=t"]);
+  regional(tmp,tmp1,eqL,Rule,pdata,Sm,ptP,ptQ,list,va1,va2);
+  tmp=Divoptions(options);
+  eqL=tmp_5;
+  Rule="o";
+  forall(eqL,
+    if(Toupper(substring(#,0,1))=="R",
+      tmp=indexof(#,"=");
+      Rule=substring(#,tmp,tmp+1); 
+    );
+  );
+  if(Rule=="o",
+    Sm= IntegrateO(pltdata,range);
+  ,
+    if(isstring(pltdata),pdata=parse(pltdata),pdata=pltdata);
+    if(MeasureDepth(pdata)==2,pdata=pdata_1);
+    va1=MeetCurve(pdata,range_1,0);
+    va2=MeetCurve(pdata,range_2,0);
+    list=select(pdata,(#_1>range_1 & #_1<range_2));
+    list=apply(list,LLcrd(#));  // 15.09.14
+    list=concat([va1],list);
+    list=concat(list,[va2]);
+    Sm=0;
+    forall(1..(length(list)-1),
+      ptP=list_#;           // 15.09.14
+      ptQ=list_(#+1);
+      Sm=Sm+(ptP_2+ptQ_2)*(ptQ_1-ptP_1)/2;
+    );
+    Sm;
+  );
+);
+
+Integrate(fnstr,vastr,range,options):=(
+//help:Integrate("sin(x)","x",[0,pi],["Num=100","Rule=s"]);
+  regional(tmp,tmp1,Sm,Lx,Rx,va1,va2,Num,Waysx,ex,dx,xn,yn,x0,x1,x2,y0,y1,y2);
+  Num=100;
+  Way="t";
+  forall(options,
+    if(indexof(#,"=")>0,
+      if(indexof(#,"N=")>0,
+        Num=parse(substring(#,indexof(#,"="),length(#)));
+      );
+      if(indexof(#,"Num=")>0,
+        Num=parse(substring(#,indexof(#,"="),length(#)));
+      );
+      if(Toupper(substring(#,0,1))=="R",
+        tmp=indexof(#,"=");
+        Way=substring(#,tmp,tmp+1);
+      );
+	);
+  );
+  Sm=0;
+  if(Way=="t",
+    forall(1..Num,
+      Lx=range_1+(range_2-range_1)*(#-1)/Num;
+      Rx=range_1+(range_2-range_1)*#/Num;
+      va1=parse(replace(fnstr,vastr,textformat(Lx,5)));
+      va2=parse(replace(fnstr,vastr,textformat(Rx,5)));
+      Sm=Sm+(va1+va2)*(Rx-Lx)/2;
+    );
+  ,
+    sx=range_1;
+    ex=range_2;
+    dx=(ex-sx)/Num;
+    xn=apply(0..Num,sx+#*dx);
+    yn=apply(xn,parse(replace(fnstr,vastr,textformat(#,5))));
+    dx=dx/2;
+    repeat(Num,s,
+      x0=xn_s;
+      x1=(xn_s+xn_(s+1))/2;
+      x2=xn_(s+1);
+      y0=yn_s;
+      y1=parse(replace(fnstr,vastr,textformat(x1,5)));
+      y2=yn_(s+1);
+      Sm=Sm+dx*(y0+4*y1+y2)/3;
+    ); 
+  );
+  Sm;
+);
+
+IntegrateO(p0org,p1org,p2org,p3org):=(
+  regional(p0,p1,p2,p3,pQ,pR,cc,p01,p02,
+     p11,p12,p21,p22,p31,p32, tmp);
+  if(ispoint(p0org),p0=p0org.xy,p0=p0org);  // 16.03.10
+  if(ispoint(p1org),p1=p1org.xy,p1=p1org); // 16.03.16
+  if(ispoint(p2org),p2=p2org.xy,p2=p2org);
+  if(ispoint(p3org),p3=p3org.xy,p3=p3org);
+  tmp=1+sqrt((1+Dotprod(p2-p0,p3-p1)/|p2-p0|/|p3-p1|)/2);
+  cc=4*|p2-p1|/3/(|p2-p0|+|p3-p1|)/tmp;
+  pQ=p1+cc*(p2-p0);
+  pR=p2+cc*(p1-p3);
+  p01=p1_1; p02=p1_2;
+  p31=p2_1; p32=p2_2;
+  p11=pQ_1; p12=pQ_2;
+  p21=pR_1; p22=pR_2;
+  tmp=-6*p12*p01+3*p12*p21+3*p12*p31+6*p02*p11-
+         10*p02*p01+3*p02*p21+p02*p31-3*p22*p11-
+         3*p22*p01+6*p22*p31-3*p32*p11-p32*p01-
+         6*p32*p21+10*p32*p31;
+  tmp=tmp/20;
+);
+IntegrateO(pltdata,rangeorg):=(
+//help:IntegrateO("gr1",[0,2]);
+  regional(tmp,tmp1,tmp2,pdata,va1,va2,list,Bzk,Bzc,range,pmflg,
+    Sm,p0,p1,p2,p3,pQ,pR,cc,p01,p02,p11,p12,p21,p22,p31,p32);
+  if(isstring(pltdata),pdata=parse(pltdata),pdata=pltdata);
+  if(MeasureDepth(pdata)==2,pdata=pdata_1);
+  range=rangeorg;
+  pmflg=1;
+  if(range_2<range_1,
+    range=reverse(range);
+    pmflg=-1;
+  );
+  va1=MeetCurve(pdata,range_1,0);
+  va2=MeetCurve(pdata,range_2,0);
+  list=select(pdata,(#_1>range_1 & #_1<range_2));
+  if((length(list)>0) & (list_1_1>list_(length(list))_1),
+    list=reverse(list);
+//    pmflg=pmflg*(-1);
+  );
+  list=apply(list,LLcrd(#));  
+  list=concat([va1],list);
+  list=concat(list,[va2]);
+  Sm=0;
+  forall(1..(length(list)-1),
+    p1=list_#;
+    p2=list_(#+1);
+    if(#==1 % #==length(list)-1,
+      tmp1=(p1_2+p2_2)*(p2_1-p1_1)/2;
+      Sm=Sm+tmp1;
+    ,
+      p0=list_(#-1);
+      p3=list_(#+2);
+      tmp=1+sqrt((1+Dotprod(p2-p0,p3-p1)/|p2-p0|/|p3-p1|)/2);
+      cc=4*|p2-p1|/3/(|p2-p0|+|p3-p1|)/tmp;
+      pQ=p1+cc*(p2-p0);
+      pR=p2+cc*(p1-p3);
+      p01=p1_1; p02=p1_2;
+      p31=p2_1; p32=p2_2;
+      p11=pQ_1; p12=pQ_2;
+      p21=pR_1; p22=pR_2;
+      tmp1=-6*p12*p01+3*p12*p21+3*p12*p31+6*p02*p11-
+         10*p02*p01+3*p02*p21+p02*p31-3*p22*p11-
+         3*p22*p01+6*p22*p31-3*p32*p11-p32*p01-
+         6*p32*p21+10*p32*p31;
+      tmp1=tmp1/20;
+      Sm=Sm+tmp1;
+    );
+  );
+  if(pmflg==-1,
+    Sm=-Sm;
+  );
+  Sm;
+);
+
+Findarea(pdstr):=(
+//help:Findarea("sgABCA");
+  regional(pd,p1,p2,s,tmp);
+  if(isstring(pdstr),pd=parse(pdstr),pd=pdstr);
+  s=0;
+  forall(1..(length(pd)-1),
+    p1=Lcrd(pd_#);
+    p2=Lcrd(pd_(#+1));
+    tmp=(p1_2+p2_2)*(p2_1-p1_1)/2;
+    s=s+tmp;
+  );
+  if(s<0,s=-s);
+  s;
+);
+
+Findarea(pdstr):=(  // 15.11.27
+//help:Findarea("cr1");
+  regional(pd,p0,p1,p2,p3,s,tmp);
+  if(isstring(pdstr),pd=parse(pdstr),pd=pdstr);
+  s=0;
+  forall(1..(length(pd)-1),
+    p1=pd_#;
+    p2=pd_(#+1);
+    if(#==1,p0=pd_(length(pd)-1),p0=pd_(#-1));
+    if(#==length(pd)-1,p3=pd_2,p3=pd_(#+2));
+    tmp=IntegrateO(p0,p1,p2,p3);
+    s=s+tmp;
+  );
+  if(s<0,s=-s);
+  s;
+);
+
+Findlength(pdstr):=(
+//help:Findlength("gr1");
+  regional(pd,p1,p2,s,tmp);
+  if(isstring(pdstr),pd=parse(pdstr),pd=pdstr);
+  s=0;
+  forall(1..(length(pd)-1),
+    p1=Lcrd(pd_#);
+    p2=Lcrd(pd_(#+1));
+    tmp=|p2-p1|;
+    s=s+tmp;
+  );
+  s;
+);
+
+Inversefun(fnstr,rngstr,value):=(
+  regional(tmp,varstr,range,x1,x2,x3,va1,va2);
+  tmp=indexof(rngstr,"=");
+  varstr=substring(rngstr,0,tmp-1);
+  range=parse(substring(rngstr,tmp,length(rngstr)));
+  x1=range_1; x2=range_2;
+  repeat(15,
+    x3=(x1+x2)/2;
+    va1=parse(replace(fnstr,varstr,textformat(x1,5)));
+    va2=parse(replace(fnstr,varstr,textformat(x3,5)));
+    if((va1>value & va2>value) % (va1<value & va2<value),
+      x1=x3;
+    ,
+      x2=x3;
+    );
+  );
+  va1=parse(replace(fnstr,varstr,textformat(x1,5)))-value;
+  va2=parse(replace(fnstr,varstr,textformat(x2,5)))-value;
+  if(x1==range_1 % x2==range_2, 
+    println("not found in ("+textformat(range_1,5)
+	     +","+textformat(range_2,5)+")");
+  );
+  if(abs(va1)<=abs(va2),x1,x2);
+);
+
+Lcrd(pt):=(
+  regional(tmp);
+  if(ispoint(pt),
+    tmp=[pt.x/SCALEX,pt.y/SCALEY];
+  ,
+    tmp=pt;
+  );
+  tmp;
+);
+
+Pcrd(pt):=(
+  regional(tmp);
+  if(ispoint(pt),
+    tmp=re(pt.xy); // 15.07.24
+  ,
+    tmp=[pt_1*SCALEX,pt_2*SCALEY];
+  );
+ tmp;
+);
+
+LLcrd(pt):=(
+  regional(tmp);
+  if(ispoint(pt),
+    tmp=pt.xy
+  ,
+    tmp=pt;
+  );
+  tmp=[tmp_1/SCALEX,tmp_2/SCALEY];
+  tmp;
+);
+
+Doscaling(pltdata):=(
+  regional(Level,Out,gL,gr,tmp);
+  if(ispoint(pltdata) % isreal(pltdata_1),
+    gL=[[pltdata]];
+    Level=0;
+  ,
+    if(ispoint(pltdata_1) % isreal(pltdata_1_1),
+      gL=[pltdata];
+      Level=1;
+    ,
+      gL=pltdata;
+      Level=2;
+    );
+  );
+  Out=[];
+  forall(gL,gr,
+    tmp=apply(gr,Lcrd(#));
+    tmp=apply(tmp,LLcrd(#));
+    Out=concat(Out,[tmp]);
+  );
+  if(Level==0,
+    Out=Out_1_1;
+  );
+  if(Level==1,
+    Out=Out_1;
+  );
+  Out;
+);
+
+Unscaling(pltdata):=(
+  regional(Level,Out,gL,gr,tmp);
+   if(ispoint(pltdata) % isreal(pltdata_1),
+    gL=[[pltdata]];
+    Level=0;
+  ,
+    if(ispoint(pltdata_1) % isreal(pltdata_1_1),
+      gL=[pltdata];
+      Level=1;
+    ,
+      gL=pltdata;
+      Level=2;
+    );
+  );
+  Out=[];
+  forall(gL,gr,
+    tmp=apply(gr,Lcrd(#));
+    tmp=apply(tmp,LLcrd(#));
+    Out=concat(Out,[tmp]);
+  );
+  if(Level==0,
+    Out=Out_1_1;
+  );
+  if(Level==1,
+    Out=Out_1;
+  );
+  Out;
+);
+
+Definecolor(name,data):=(
+//help:Definecolor("mycolor",[1,1,1,0]);
+  regional(type,tmp);
+  if(length(data)>3,type="cmyk",type="rgb");  
+  tmp=text(data);
+  tmp=substring(tmp,1,length(tmp)-1);
+  tmp="\definecolor{"+name+"}{"+type+"}{"+tmp+"}";
+  Texcom(tmp);
+);
+
+Setcolor(Par):=(
+//help:Setcolor([1,0,0,1]);
+//help:Setcolor([1,1,0]);
+  if(islist(Par),
+    if(length(Par)==3,
+      Setcolorrgb(Par);  // 2015.04.28
+//      KCOLOR=Par;  
+    );
+    if(length(Par)==4,
+      Setcolor(Par,[]);
+    );
+  ,
+    Setcolor(Par,[]);
+  );
+);
+
+Setcolor(colorname,options):=(
+//help:Setcolor("greenyellow",0.3);
+  regional(tmp);
+  if(isstring(colorname),
+    tmp="Setcolor("+Dq+colorname+Dq;
+    if(length(options)>0,
+      tmp=tmp+","+text(options_1);
+    );
+    Com2nd(tmp+")");
+  );
+  if(islist(colorname),
+    tmp=text(colorname);
+    tmp=substring(tmp,1,length(tmp)-1);
+    tmp="Texcom("+Dq+"\color[cmyk]{"+tmp+"}"+Dq+")";
+    Com2nd(tmp);
+  );
+);
+
+Setcolorrgb(colorlist):=(
+// help:Setcolorrgb([0.5,0.3,0.4]);
+  regional(tmp);
+  tmp=text(colorlist);
+  tmp=substring(tmp,1,length(tmp)-1);
+  tmp="Texcom("+Dq+"\color[rgb]{"+tmp+"}"+Dq+")";
+  Com2nd(tmp);
+);
+
+ColorRgb2Cmyk(clr):=(
+// help:ColorRgb([0.2,0.5,0.1]);
+  regional(clrnew,tmp,black);
+  tmp=apply(clr,1-#);
+  black=min(tmp);
+  tmp=apply(clr,(1-#-black)/(1-black));
+  clrnew=append(tmp,black);
+  clrnew;
+);
+
+ColorCmyk2Rgb(clr):=(
+// help:ColorRgb([0.2,0.5,0.1,0.2]);
+  regional(clrnew,tmp,black);
+  black=clr_4;
+  tmp=apply(clr,1-min(1,#*(1-black)+black));
+  clrnew=tmp_(1..3);
+  clrnew;
+);
+
+Colorrgbhsv(rgb):=(
+  regional(varR,varG,varB,varMin,varMax,delMax,hh,ss,vv,delR,delG,delB);
+  varR = rgb_1;
+  varG = rgb_2;
+  varB = rgb_3;
+  varMin = min( [varR, varG, varB] );
+  varMax = max( [varR, varG, varB] );
+  delMax = varMax - varMin ;
+  vv = varMax;
+  if ( delMax == 0 , 
+    hh = 0 ; 
+    ss = 0 ;
+  ,
+    ss = delMax / varMax;
+    delR = ( ( ( varMax - varR ) / 6 ) + ( delMax / 2 ) ) / delMax;
+    delG = ( ( ( varMax - varG ) / 6 ) + ( delMax / 2 ) ) / delMax;
+    delB = ( ( ( varMax - varB ) / 6 ) + ( delMax / 2 ) ) / delMax;
+    if( varR == varMax ,
+      hh = delB - delG;
+    , 
+      if ( varG == varMax, 
+        hh = ( 1 / 3 ) + delR - delB;
+      , 
+        if ( varB == varMax ,
+          hh = ( 2 / 3 ) + delG - delR;
+        );
+      );
+    );
+    if ( hh < 0 ,hh = hh+1);
+    if ( hh > 1 ,hh = hh-1);
+  );
+  [hh*360,ss,vv]; 
+);
+ 
+Colorhsvrgb(sL):=(
+  regional(tmp,tmp1,tmp2,tmp3,hi,ff,dL);
+  tmp=[sL_1/60,sL_2,sL_3];
+  hi=mod(floor(tmp_1),6);
+  ff=tmp_1-floor(tmp_1);
+  tmp2=tmp_3*[1-tmp_2,1-tmp_2*ff,1-tmp_2*(1-ff)];
+  tmp2=append(tmp2,tmp_3);
+  if(hi==0,dL=tmp2_[4,3,1]);
+  if(hi==1,dL=tmp2_[2,4,1]);
+  if(hi==2,dL=tmp2_[1,4,3]);
+  if(hi==3,dL=tmp2_[1,2,4]);
+  if(hi==4,dL=tmp2_[3,1,4]);
+  if(hi==5,dL=tmp2_[4,1,2]);
+  dL;
+);
+
+Colorrgbhsl(rgb):=(
+  regional(rr,gg,bb,mn,mx,delta,deltaR,deltaG,deltaB,hh,ss,ll);
+  rr = rgb_1 ;
+  gg = rgb_2 ;
+  bb = rgb_3 ;
+  mn = min([rr, gg, bb]);
+  mx = max([rr, gg, bb]);
+  delta = mx - mn;
+  ll = (mx + mn) / 2;  
+  if (delta ==  0,
+    hh=0; 
+    ss=0; 
+  ,
+    if (ll < 0.5,
+      ss = delta/ (mx + mn);
+    ,
+      ss = delta / (2 - mx - mn);
+    );
+    deltaR = (((mx - rr) / 6) + (delta / 2)) / delta;
+    deltaG = (((mx - gg) / 6) + (delta / 2)) / delta;
+    deltaB = (((mx - bb) / 6) + (delta / 2)) / delta;
+    if (rr == mx,
+       hh = deltaB - deltaG;
+    , 
+      if (gg == mx,
+        hh = (1 / 3) + deltaR - deltaB;
+      , 
+        if (bb == mx,
+          hh = (2 / 3) + deltaG - deltaR;
+        );
+      );
+    );
+    if ( hh < 0, hh = hh+1);
+    if ( hh > 1, hh = hh-1);
+  );
+  [hh*360,ss,ll];
+);
+
+Colorhslrgb(hsl):=(
+  regional(hh,ss,ll,rr,gg,bb,var1,var2);
+  hh=hsl_1/360;
+  ss=hsl_2;
+  ll=hsl_3;
+  if ( ss == 0.0,
+    rr = ll ;
+    gg = ll ;
+    bb = ll ;
+  ,
+    if ( ll < 0.5 ,
+      var2 = ll * ( 1.0 + ss );
+    ,
+      var2 = ( ll + ss ) - ( ss * ll );
+    );
+    var1 = 2.0 * ll - var2;
+    rr = hue2rgb( var1, var2, hh + ( 1.0 / 3.0 ) );
+    gg = hue2rgb( var1, var2, hh );
+    bb = hue2rgb( var1, var2, hh - ( 1.0 / 3.0 ) );
+  );
+  [rr,gg,bb];
+);
+
+hue2rgb(vv1,vv2,vh):=(
+  regional(out);
+  if ( vh < 0.0 ,vh =vh+1);
+  if ( vh > 1.0 ,vh =vh-1);
+  if ( 6.0*vh  < 1.0 ,
+    out = vv1 + ( vv2 - vv1 ) * 6.0 * vh ;
+  ,
+    if( 2.0*vh  < 1.0 ,
+      out = vv2;
+    ,
+      if ( 3.0*vh  < 2.0 ,
+        out = vv1 + ( vv2 - vv1 ) * ( ( 2.0 / 3.0 ) - vh ) * 6.0 ;
+      ,
+      out= vv1 ;
+      );
+    );
+  );
+  out;
+);
+
+Colorrgbhwb(sL):=(
+  regional(dl1,dl2,dl3);
+  dl1 = Colorrgbhsl(sL)_1;//Colorcode("rgb","hsl",sL)_1;
+  dl2 =  min(sL);
+  dl3 = 1 -  max(sL);
+  dL= [dl1, dl2 , dl3 ];
+);
+
+Colorhwbrgb(sLorg):=(
+  regional(sL,tmp,tmp1,tmp2,tmp3,ratio,ff,ii,vv,nn,dL,flg);
+  sL=sLorg;
+  sL=[sL_1/360,sL_2,sL_3];
+  ratio = sL_2 + sL_3;
+  // sL_2 + sL_3 cant be > 1
+  if (ratio > 1.,
+    sL_2 =sL_2 / ratio;
+    sL_3 = sL_3 / ratio;
+  );
+  ii = floor(6 * sL_1);
+  vv = 1 - sL_3;
+  ff = 6 * sL_1 - ii;
+  if(mod(ii,2)==1,ff = 1 - ff); 
+  nn = sL_2 + ff * (vv - sL_2); // linear interpolation
+  tmp=[[vv,nn,sL_2],[nn,vv,sL_2],[sL_2,vv,nn],
+       [sL_2,nn,vv],[nn,sL_2,vv],[vv,sL_2,nn],[vv,nn,sL_2]];
+  flg=0;
+  forall(0..6,
+    if(flg==0 & ii == # ,
+      dL=tmp_(#+1);
+      flg=1;
+    );
+  );
+ dL;
+);
+
+Colorhslhsv(sL):=(
+  regional(dl1,dl2,dl3,dL);
+  dl1=sL_1;
+  if(sL_3 == 0,
+    // no need to do calc on black
+    // also avoids divide by 0 error
+    dL= [0, 0, 0];
+  ,
+  sL_3 = sL_3 * 2;
+  if(sL_3 <= 1,sL_2 = sL_2 * sL_3,sL_2 = sL_2 * (2 - sL_3));
+  dl3 = (sL_3 + sL_2) / 2;
+  dl2 = (2 * sL_2) / (sL_3 + sL_2);
+  dL = [dl1, dl2, dl3];
+  );
+  dL;
+);
+
+Colorcode(src,dest,sL):=(
+//help:Colorcode("rgb","cmyk",[1,0.5,0]);
+  regional(tmp,tmp1,tmp2,tmp3,mn,mx,delta,black,dL,flg);
+  regional(dl1,dl2,dl3);
+  if(src=="rgb" & dest=="hsv", dL=Colorrgbhsv(sL));
+  if(src=="hsv" & dest=="rgb", dL=Colorhsvrgb(sL));
+  if(src=="rgb" & dest=="hsl", dL=Colorrgbhsl(sL));
+  if(src=="hsl" & dest=="rgb", dL=Colorhslrgb(sL));
+  if(src=="rgb" & dest=="hwb", dL=Colorrgbhwb(sL));
+  if(src=="hwb" & dest=="rgb", dL=Colorhwbrgb(sL));
+  if(src=="hsl" & dest=="hsv", dL=Colorhslhsv(sL));
+  if(src=="hsv" & dest=="hsl",
+    dl1 = sL_1; 
+    dl3 = (2 - sL_2) * sL_3;
+    dl2 = sL_2 * sL_3;
+    if(dl3 <= 1,dl2 = dl2/dl3,dl2=dl2/(2 - dl3));
+    dl3 =d l3/ 2;
+    dL = [dl1, dl2 , dl3 ];
+  );
+
+  if(src=="rgb" & dest=="cmyk",
+    tmp=apply(sL,1-#);
+    black=min(tmp);
+    tmp=apply(sL,(1-#-black)/(1-black));
+    dL=append(tmp,black);
+  );
+  if(src=="cmyk" & dest=="rgb",
+    black=sL_4;
+    tmp=apply(sL,1-min(1,#*(1-black)+black));
+    dL=tmp_(1..3);
+  );
+  if(src=="hsv" & dest=="cmyk",
+    tmp=Colorcode("hsv","rgb",sL);
+    dL=Colorcode("rgb","cmyk",tmp);
+  );
+  if(src=="cmyk" & dest=="hsv",
+    tmp=Colorcode("cmyk","rgb",sL);
+    dL=Colorcode("rgb","hsv",tmp);
+  );
+
+  if(src=="hsv" & dest=="hwb",
+    tmp = Colorcode("hsv","rgb",sL);
+    dL = Colorcode("rgb","hwb",tmp);
+  );
+  if(src=="hwb" & dest=="hsv",
+    tmp = Colorcode("hwb","rgb",sL);
+    dL = Colorcode("rgb","hsv",tmp);
+  );
+  if(src=="hsl" & dest=="hwb",
+    tmp = Colorcode("hsl","rgb",sL);
+    dL = Colorcode("rgb","hwb",tmp);
+  );
+  if(src=="hwb" & dest=="hsl",
+    tmp = Colorcode("hwb","rgb",sL);
+    dL = Colorcode("rgb","hsl",tmp);
+  );
+  if(src=="hsl" & dest=="cmyk",
+    tmp = Colorcode("hsl","rgb",sL);
+    dL = Colorcode("rgb","cmyk",tmp);
+  );
+  if(src=="hwb" & dest=="cmyk",
+    tmp = Colorcode("hwb","rgb",sL);
+    dL = Colorcode("rgb","cmyk",tmp);
+  );
+  if(src=="cmyk" & dest=="hsl",
+    tmp = Colorcode("cmyk","rgb",sL);
+    dL = Colorcode("rgb","hsl",tmp);
+  );
+  if(src=="cmyk" & dest=="hwb",
+    tmp = Colorcode("cmyk","rgb",sL);
+    dL = Colorcode("rgb","hwb",tmp);
+  );
+  if(src=="hsb" & dest=="rgb",dL=Colorcode("hsv","rgb",sL));
+  if(src=="rgb" & dest=="hsb",dL=Colorcode("rgb","hsv",sL));
+
+  if(src=="hsb" & dest=="hsl",dL=Colorcode("hsv","hsl",sL));
+  if(src=="hsl" & dest=="hsb",dL=Colorcode("hsl","hsv",sL));
+
+  if(src=="hsb" & dest=="hwb",dL=Colorcode("hsv","hwb",sL));
+  if(src=="hwb" & dest=="hsb",dL=Colorcode("hwb","hsv",sL));
+
+  if(src=="hsb" & dest=="cmyk",dL=Colorcode("hsv","cmyk",sL));
+  if(src=="cmyk" & dest=="hsb",dL=Colorcode("cmyk","hsv",sL));
+
+  dL;
+);
+
+Addcolor(cmdorg,list):=(
+//help:Addcolor("Plotdata('1','x^2','x',[])",[1,1,0]);
+  regional(rgb,cmyk,cmd,tmp,tmp1,tmp2,tmp3,tmp4);
+  cmd=replace(cmdorg,"'",Dq);
+  if(length(list)==3,
+    rgb=list;
+    cmyk=Colorcode("rgb","cmyk",list);
+  ,
+    cmyk=list;
+    rgb=Colorcode("cmyk","rgb",list);
+  );
+  tmp1="color->"+text(rgb);
+  tmp2="Setcolor("+text(cmyk)+");";
+  tmp3=substring(cmd,0,length(cmd)-2);
+  tmp=substring(tmp3,length(tmp3)-1,length(tmp3));
+  if(tmp!="[",
+    tmp3=tmp3+",";
+  );
+  tmp3=tmp3+Dq+tmp1+Dq+"])";
+  parse(tmp2);
+  parse(tmp3);
+  Setcolor("black");
+);
+
+Colorinfile(filename,clrf,clrt):=(
+  regional(tmp,tmp1,tmp2,head,cstrL,chstrL,head,body);
+  if(length(clrf_1)==3,
+    head="[rgb]{";
+  ,
+    head="[cmyk]{";
+  );
+  tmp=apply(clrf,text(#));
+  cstrL=apply(tmp,head+substring(#,1,length(#)-1)+"}");
+  if(length(clrt_1)==3,
+    head="[rgb]{";
+  ,
+    head="[cmyk]{";
+  );
+  tmp=apply(clrt,text(#));
+  chstrL=apply(tmp,head+substring(#,1,length(#)-1)+"}");
+  tmp1=load(filename);
+  tmp=tokenize(tmp1,"{\unitlength");
+  head=tokenize(tmp_1,"%%%");
+  head=head_(2..length(head));
+  head=apply(head,"%%%"+#);
+  tmp2=tmp_2;
+  forall(1..5,
+    tmp2=replace(tmp2,cstrL_#,chstrL_#);
+  );
+  body=tokenize(tmp2,"%");
+  body_1="{\unitlength"+body_1;
+  body=apply(body,#+"%");
+  body=body_(1..(length(body)-1));
+  tmp=replace(filename,".tex","new.tex");
+  SCEOUT=openfile(tmp);
+  forall(head,
+    println(SCEOUT,#);
+  );
+  forall(1..length(body),
+    tmp=body_#;
+    if(#<length(body),
+      println(SCEOUT,tmp);
+    ,
+      print(SCEOUT,tmp)
+    );
+  );
+  closefile(SCEOUT);
+);
+
+GetLinestyle(str,name):=(
+  regional(noflg,tmp,tmp1,tmp2,Dop,Ltype,subflg);
+  Ltype=-1;
+  Dop="";
+  tmp1=indexof(str,",");
+  if(tmp1>0,
+    Dop=","+substring(str,tmp1,length(str));
+  );
+  noflg=parse(substring(str,0,1));
+  if(substring(name,0,3)=="sub",subflg=1,subflg=0);  // 16.02.29
+  tmp1=substring(str,1,3);
+  if(tmp1=="dr" % tmp1=="Dr",
+    Ltype=0;
+    if(noflg==0 & subflg==0, // 16.02.29
+      Drwline(name+Dop);
+    );
+  );
+  if(tmp1=="da" % tmp1=="Da",
+    Ltype=1;
+    if(noflg==0 & subflg==0, // 16.02.29
+      Dashline(name+Dop);
+    );
+  );
+  if(tmp1=="id" % tmp1=="Id",
+    Ltype=2;  // 15.11.09
+    if(noflg==0 & subflg==0, // 16.02.29
+      Invdashline(name+Dop);
+    );
+  );
+  if(tmp1=="do" % tmp1=="Do",
+    Ltype=3;
+    if(noflg==0 & subflg==0, // 16.02.29
+      Dottedline(name+Dop);
+    );
+  );
+  if(tmp1=="dp" % tmp1=="Dp",
+    Ltype=0;
+    tmp1=parse(name);
+    tmp2="";
+    forall(tmp1,
+      tmp2=tmp2+textformat(#_1,5)+",";
+    );
+    tmp2=substring(tmp2,0,length(tmp2)-1);
+    if(noflg==0,
+      Drwpt(tmp2+Dop);
+    );
+  );
+  if(tmp1=="no" % tmp1=="No",
+    Ltype=10;
+  );
+  Ltype;
+);
+
+Chunderscore(str):=(
+  regional(flg,tmp,tmp1,tmp2,tmp3);
+  if(indexof(str,"]")>0,
+    tmp1=replace(str,"]",",]");
+  ,
+    tmp1=str+",";
+  );
+  flg=0;
+  tmp2=[];
+  tmp3=0;
+  forall(1..length(tmp1),
+    if(flg==0,
+      tmp=substring(tmp1,tmp3,length(tmp1));
+      tmp=indexof(tmp,"_");
+      if(tmp==0,
+        flg=1;
+      ,
+        tmp3=tmp3+tmp;
+        tmp=substring(tmp1,tmp3,length(tmp1));
+        tmp=indexof(tmp,",")-1;
+        tmp=substring(tmp1,tmp3,tmp3+tmp);
+        tmp2=append(tmp2,tmp);
+      );
+    );        
+  );
+  forall(tmp2,
+    tmp1=replace(tmp1,"_"+#,"("+#+")");
+  );
+  if(indexof(str,"]")>0,
+    tmp1=replace(tmp1,",]",")");
+    tmp1=replace(tmp1,"[","list(");
+  ,
+    tmp1=substring(tmp1,0,length(tmp1)-1);
+  );
+  tmp1;
+);
+
+//AddGraph(pltdata):=AddGraph("-"+pltdata,pltdata,[]);
+AddGraph(nm,pltdata):=AddGraph(nm,pltdata,[]);
+//  if(isstring(Arg2),
+//    AddGraph(Arg1,Arg2,[]);
+//  ,
+//    if(MeasureDepth(Arg2)>0,
+//      Addgraph(Arg1,Arg2,[]);
+//    ,
+//      Addgraph("-"+Arg1,Arg1,Arg2);
+//    );
+//  );
+//);
+AddGraph(nm,pltdata,options):=(
+//help:AddGraph("1","imp1"); // 16.04.04
+//help:Addgraph("1",["[pt1]","gr1"],["nodisp"]);
+  regional(name,Ltype,Noflg,opcindy,pdata,fname,flg,
+    tmp,tmp1,tmp2,tmp3);
+  if(substring(nm,0,1)=="-",
+    name=substring(nm,1,length(nm));
+  ,
+    name="ad"+nm;
+  );
+  tmp=Divoptions(options);
+  Ltype=tmp_1;
+  Noflg=tmp_2;
+  opcindy=tmp_9;
+  if(isstring(pltdata),
+    pdata=parse(pltdata)
+  ,
+    if(!islist(pltdata),pdata=[pltdata],pdata=pltdata);
+    pdata=apply(pdata,parse(#));
+  ); // 15.01.22
+  pdata=Flattenlist(pdata);
+  tmp1=[];
+  forall(pdata,tmp2,
+    tmp=apply(tmp2,Pcrd(#));
+    tmp1=append(tmp1,tmp);
+  );
+  if(length(tmp1)==1,tmp1=tmp1_1);
+  pdata=tmp1;
+  if(Noflg<3,
+    println("generate addgraph "+name);
+    tmp=name+"="+textformat(pdata,5);
+    parse(tmp);
+    if(isstring(pltdata), // 16.04.04 from
+      if(indexof(pltdata,"]")>0,
+        tmp1="list(Listplot("+substring(pltdata,1,length(pltdata));
+        tmp1=replace(tmp1,"]",",]");
+      ,
+        tmp1="Listplot("+substring(pltdata,0,length(pltdata))+",]";
+      );
+      flg=0;
+      tmp2=[];
+      tmp3=0;
+      forall(1..length(tmp1),
+        if(flg==0,
+          tmp=indexof(substring(tmp1,tmp3,length(tmp1)),"_");
+          if(tmp==0,
+            flg=1;
+          ,
+            tmp3=tmp3+tmp;
+            tmp=indexof(substring(tmp1,tmp3,length(tmp1)),",")-1;
+            tmp=substring(tmp1,tmp3,tmp3+tmp);
+            tmp2=append(tmp2,tmp);
+          );
+        );        
+      );
+      forall(tmp2,
+        tmp1=replace(tmp1,"_"+#,"("+#+")");
+      );
+      tmp1=replace(tmp1,",]",")");
+      tmp1=replace(tmp1,",","),Listplot(");
+      if(indexof(pltdata,"[")>0,
+        tmp1=tmp1+")";
+      );
+      GLIST=append(GLIST,name+"="+tmp1);
+    ,
+      if(MeasureDepth(pdata)==1,
+        tmp1=name+"=Listplot("+textformat(pdata,5)+")";
+      ,
+        tmp1="list(";
+        forall(1..length(pdata),
+          tmp=name+"p"+textformat(#,5)+"=";
+          if(length(pdata_#)>1,  // 15.01.22
+            tmp=tmp+"Listplot("+textformat(pdata_#,5)+")";
+          ,
+            tmp=tmp+"Pointdata("+textformat(pdata_#_1,5)+")";
+          );
+          GLIST=append(GLIST,tmp);
+          tmp1=tmp1+name+"p"+textformat(#,5)+",";
+        );
+        tmp1=name+"="+substring(tmp1,0,length(tmp1)-1)+")";
+      );
+      GLIST=append(GLIST,tmp1);
+    );
+  );  // 16.04.04 upto
+  if(Noflg<2,
+    if(isstring(Ltype),
+      Ltype=GetLinestyle(text(Noflg)+Ltype,name);
+    ,
+      if(Noflg==1,Ltype=0);
+    );
+    GCLIST=append(GCLIST,[name,Ltype,opcindy]);
+  );
+);
+
+Joincrvs(nm,plotstrL):=Joincrvs(nm,plotstrL,[]);
+Joincrvs(nm,plotstrL,options):=(
+//help:Joincrvs("1",["sgAB","sgDCB"]);
+  regional(plotlist,PtL,Eps,QdL,Flg,Ni,Qd,pP,pS,pQ,pR,rMN,
+        opcindy,tmp,tmp1,tmp2,str,name,Ltype,Noflg);
+  name="join"+nm;
+  plotlist=[];
+  forall(plotstrL,str,
+    if(isstring(str),
+      tmp=parse(str);
+      tmp=apply(tmp,LLcrd(#));
+    ,
+      tmp=str;
+    );
+    plotlist=append(plotlist,tmp);
+  );
+  Eps=10^(-4);
+  tmp=Divoptions(options);
+  Ltype=tmp_1;
+  Noflg=tmp_2;
+  opcindy=tmp_(length(tmp));
+  tmp1=tmp_6;
+  if(length(tmp1)>0,Eps=tmp1_1);
+  QdL=[];
+  forall(plotlist,Qd,
+    if(ispoint(Qd_1) % !islist(Qd_1_1),
+      QdL=concat(QdL,[Qd]);
+    ,
+      forall(Qd,
+        QdL=concat(QdL,[#]);
+      );
+    );
+  );
+  Flg=0;
+  if(length(QdL)==0,
+    PtL=[];
+    Flg=1;
+  );
+  if(Flg==0,
+    PtL=QdL_1;
+    forall(2..length(QdL),Ni,
+      Qd=QdL_Ni;
+      if(Numptcrv(Qd)>1,
+        pP=Ptend(PtL);
+        pS=Ptstart(PtL);
+        pQ=Ptstart(Qd);
+        pR=Ptend(Qd);
+		rMN=min([|pP-pQ|,|pP-pR|,|pS-pQ|,|pS-pR|]);
+        if(rMN==|pP-pR|,
+          Qd=reverse(Qd);
+        ,
+          if(rMN==|pS-pQ|,
+            PtL=reverse(PtL);
+          ,
+            if(rMN==|pS-pR|,
+              PtL=reverse(PtL);
+              Qd=reverse(Qd);
+            );
+          );
+        );
+      );
+      if(rMN>Eps,
+        PtL=concat(PtL,Qd);
+      ,
+        PtL=concat(PtL,Qd_(2..length(Qd)));
+      );
+    );
+  );
+  if(Noflg<3,
+    println("generate joincurve "+name);
+    tmp1=apply(PtL,Pcrd(#));
+    tmp=name+"="+textformat(tmp1,5);
+    parse(tmp);
+    tmp1="";
+    forall(plotstrL,
+        tmp1=tmp1+#+",";
+    );
+    tmp1=substring(tmp1,0,length(tmp1)-1);
+    GLIST=append(GLIST,name+"=Joincrvs("+tmp1+")");
+  );
+  if(Noflg<2,
+    if(isstring(Ltype),
+      Ltype=GetLinestyle(text(Noflg)+Ltype,name);
+    ,
+      if(Noflg==1,Ltype=0);
+    );
+    GCLIST=append(GCLIST,[name,Ltype,opcindy]);
+  );
+  PtL;
+);
+
+Partcrv(nm,pA,pB,PkLstr):=Partcrv(nm,pA,pB,PkLstr,[]);
+Partcrv(nm,pA,pB,PkLstr,options):=(
+//help:Partcrv("1",A,B,"sgABC");
+//help:Partcrv("1",1.3,2.5,"sgABC");
+  regional(PkL,Ans,Eps,Npt,Out1,Out2,tmp,tmp1,Flg,nS,nE,PPL,pP,
+        opcindy,Ta,Tb,name,Ltype,Noflg,DepthFlg);
+  name="part"+nm;
+  if(isstring(PkLstr),PkL=parse(PkLstr),PkL=PkLstr);
+  DepthFlg=0;
+  if(MeasureDepth(PkL)==2,
+    PkL=PkL_1;
+    DepthFlg=1;
+  );
+  PkL=apply(PkL,LLcrd(#));
+  tmp=Divoptions(options);
+  Ltype=tmp_1;
+  Noflg=tmp_2;
+  opcindy=tmp_(length(tmp));
+  Eps=10^(-3);
+  Flg=0;
+  if(isreal(pA),
+    if(pA>pB+Eps,
+      Npt=Numptcrv(PkL);
+      Out1=Partcrv("",pA,Npt,PkLstr,["nodata"]);
+      Out2=Partcrv("",1,pB,PkLstr,["nodata"]);
+      tmp=Ptstart(PkL)-Ptend(PkL);
+      if(|tmp|<Eps,
+		Ans=Joincrvs("",[Out1,Out2],["nodata"]);
+      ,
+        Ans=[apply(Out1,Pcrd(#)),apply(Out2,Pcrd(#))];
+      );
+      Flg=1;
+    );
+    if(Flg==0,
+      nS=ceil(pA);
+	  nE=floor(pB);
+	  PPL=[];
+      if(pA<nS-Eps,
+        pP=(nS-pA)*PkL_(nS-1)+(1-nS+pA)*PkL_nS;
+        PPL=[pP];
+      );
+      PPL=concat(PPL,PkL_(nS..nE));
+      if(pB>nE+Eps,
+        pP=(1-pB+nE)*PkL_nE+(pB-nE)*PkL_(nE+1);
+        PPL=concat(PPL,[pP]);
+      );
+      Ans=PPL;
+      Flg=1;
+    );
+  );
+  if(Flg==0,
+    tmp=Nearestpt(LLcrd(Pcrd(pA)),PkL);
+    Ta=tmp_2;
+    tmp=Nearestpt(LLcrd(Pcrd(pB)),PkL); // 15.09.12
+	Tb=tmp_2;
+    Ans=Partcrv("",Ta,Tb,PkL,["nodata"] );
+    Ans=apply(Ans,Pcrd(#));
+  );
+  if(Noflg<3,
+    println("generate partcrv "+name);
+    tmp1=apply(Ans,Pcrd(#));
+    tmp=name+"="+textformat(tmp1,5);
+    parse(tmp);
+//    GLIST=append(GLIST,  // 16.04.03
+    if(DepthFlg==0,
+      tmp=PkLstr;
+    ,
+      tmp=PkLstr+"(1)";
+    );
+    tmp1=name+"=Partcrv("+textformat(Lcrd(pA),5)
+	     +","+textformat(Lcrd(pB),5)+","+tmp+")"; // 16.04.03
+    GLIST=append(GLIST,tmp1);
+  );
+  if(Noflg<2,
+    if(isstring(Ltype),
+      Ltype=GetLinestyle(text(Noflg)+Ltype,name);
+    ,
+      if(Noflg==1,Ltype=0);
+    );
+    GCLIST=append(GCLIST,[name,Ltype,opcindy]);
+  );
+  Ans;
+);
+
+Opcrvs(num,Fig):=Opcrvs(num,Fig,["nodisp"]);
+Opcrvs(num,Fig,options):=(
+  //help:Subgraph(2,"grfs");
+  regional(name,tmp,tmp1);
+  name="-"+Fig+text(num);
+  tmp=Fig+"_"+text(num);
+  tmp1=parse(tmp);
+  Listplot(name,tmp1,options);
+);
+
+
+Pointdata(nm,list):=Pointdata(nm,list,[]);
+Pointdata(nm,list,options):=(
+//help:Pointdata("1",[2,4],["Size=5"]);
+//help:Pointdata("2",[[2,3],[4,1]]);
+  regional(name,nameL,ptlist,opstr,opcindy,
+      eqL,size,thick,tmp,tmp1,tmp2,tmp3,Ltype,Noflg);
+  name="pt"+nm;
+  nameL=name+"L";
+  println("generate pointdata "+name);
+  tmp=Divoptions(options);
+  Ltype=tmp_1;
+  Noflg=tmp_2;
+  opcindy=tmp_(length(tmp));
+  opstr=tmp_(length(tmp)-1);
+  size="";
+  eqL=tmp_5;
+  if(length(eqL)>0,
+    forall(eqL,
+      tmp=substring(#,0,1);
+      if(tmp=="s" % tmp=="S",
+        tmp=indexof(#,"=");
+        size=substring(#,tmp,length(#));
+      );
+    );
+  );
+  tmp=MeasureDepth(list);
+  if(tmp>0,  // 2015.02.21
+    if(tmp==1,ptlist=list,ptlist=list_1);
+    tmp=apply(ptlist,[textformat(Pcrd(#),5)]);
+    tmp1=text(tmp);
+    tmp2=substring(tmp1,1,length(tmp1)-1);
+    tmp3=tmp1;
+  ,
+    ptlist=list;
+    tmp1=textformat(Pcrd(ptlist),5);
+    tmp2=tmp1;
+    tmp3="["+tmp1+"]";
+  );
+  tmp=name+"="+tmp1;
+  parse(tmp);
+  tmp=nameL+"="+tmp3;
+  parse(tmp);
+  if(Noflg<3,
+    GLIST=append(GLIST,name+"=Pointdata("+tmp2+")");
+  );
+  if(Noflg<2,
+    tmp=[nameL,0,opcindy];
+    GCLIST=append(GCLIST,tmp);
+    if(Noflg==0,
+      if(length(size)>0,
+        Com2nd("Setpt("+size+")");
+      );
+      thick=PenThick/PenThickInit;  // 16.04.09 from
+      if(length(size)>0,tmp1=parse(size),tmp1=1);
+      tmp1=max(tmp1,1)/8; 
+      Setpen(tmp1); // 16.04.09 upto
+      Com2nd("Drwpt(list("+name+")"+opstr+")");
+      Setpen(thick); // 16.04.09
+      if(length(size)>0,
+        Com2nd("Setpt("+textformat(TenSize/TenSizeInit,1)+")");
+      );
+    );
+  );
+  ptlist;
+);
+
+Listplot(nm,list,options):=(
+//help:Listplot([A,B]);
+// help:Listplot(["A","B"]);
+//help:Listplot("1",[[2,1],[3,3]]);
+//help:Listplot(options2=["Msg=yes"]);
+  regional(name,tmp,tmp1,ptlist,Ltype,opcindy,Noflg,eqL,Msg);
+  if(substring(nm,0,1)=="-",  // 16.01.27 from
+    name=substring(nm,1,length(nm));
+  ,
+    name="sg"+nm;
+  ); // upto
+  tmp=Divoptions(options);
+  Ltype=tmp_1;
+  Noflg=tmp_2;
+  eqL=tmp_5;
+  opcindy=tmp_(length(tmp));
+  Msg=1;  // 15.09.17
+  forall(eqL,
+    tmp=substring(#,0,1);
+    if(Toupper(tmp)=="M",
+      tmp=indexof(#,"=");
+      tmp1=substring(#,tmp,tmp+1); // 16.06.28
+      if(Toupper(tmp1)=="N", // 16.06.28
+        Msg=0;
+      );
+    );
+  );
+  if(Noflg<3,
+    if(Msg==1,
+      println("generate Listplot "+name);
+    );
+    if(isstring(list_1),tmp=apply(list,parse(#)),tmp=list); // 15.03.24
+    ptlist=apply(tmp,Pcrd(#));
+    tmp=name+"="+textformat(ptlist,5);
+    parse(tmp);
+    GLIST=append(GLIST,name+"=Listplot("+textformat(list,5)+")"); // 15.12.23
+  );
+  if(Noflg<2,
+    if(isstring(Ltype),
+      Ltype=GetLinestyle(text(Noflg)+Ltype,name);
+    ,
+      if(Noflg==1,Ltype=0);
+    );
+    GCLIST=append(GCLIST,[name,Ltype,opcindy]);
+  );
+  tmp1=apply(list,Lcrd(#));
+  tmp1;
+);
+Listplot(Arg1,Arg2):=(
+  regional(name,list,options,str);
+  if(isstring(Arg1),
+    name=Arg1;
+    list=Arg2;
+    Listplot(name,list,[]);
+  ,
+    list=Arg1;
+    options=Arg2;
+    name="";
+    forall(list, // 16.10.07from
+       name=name+#.name;
+    );// 16.10.07upto
+    Listplot(name,list,options);
+  );
+);
+Listplot(list):=Listplot(list,[]);
+
+Lineplot(nm,list,options):=(
+//help:Lineplot([A,B]);
+//help:Lineplot("1",[[2,1],[3,3]]);
+  regional(name,Out,tmp,tmp1,opstr,opcindy,Mag,Semi,
+      Vec,pA,pB,Ltype,Noflg);
+  name="ln"+nm;
+  Mag=100;
+  Semi="";
+  tmp=Divoptions(options);
+  Ltype=tmp_1;
+  Noflg=tmp_2;
+  opcindy=tmp_(length(tmp));
+  opstr=tmp_(length(tmp)-1);
+  tmp1=tmp_6;
+  if(length(tmp1)>0,Mag=tmp1_1);
+  tmp1=tmp_7;
+  if(length(tmp1)>0,Semi=tmp1_1);
+  pA=Lcrd(list_1); pB=Lcrd(list_2);
+  Vec= Mag/dist(pA,pB)*(pB-pA);
+  if(length(Semi)==0,
+    Out=[pA-Vec,pA+Vec];
+  ,
+    if(Semi=="+",   
+      Out=[pA,pA+Vec];
+    ,
+      Out=[pA-Vec,pA];
+    );
+  );
+  if(Noflg<3,
+    println("generate Lineplot "+name);
+    tmp1=apply(Out,Pcrd(#));
+    tmp=name+"="+textformat(tmp1,5);
+    parse(tmp);
+    GLIST=append(GLIST,name+"=Lineplot("+textformat(list,5)+opstr+")");
+  );
+  if(Noflg<2,
+    if(isstring(Ltype),
+      Ltype=GetLinestyle(text(Noflg)+Ltype,name);
+    ,
+      if(Noflg==1,Ltype=0);
+    );
+    GCLIST=append(GCLIST,[name,Ltype,opcindy]);
+  );
+  Out;
+);
+Lineplot(Arg1,Arg2):=(
+  regional(name,list,options,str);
+  if(isstring(Arg1),
+    name=Arg1;
+    list=Arg2;
+    Lineplot(name,list,[]);
+  ,
+    list=Arg1;
+    options=Arg2;
+    name="";
+    forall(list, // 16.10.07from
+       name=name+#.name;
+    );// 16.10.07upto
+    Lineplot(name,list,options);
+  );
+);
+Lineplot(list):=Lineplot(list,[]);
+
+Plotdata(name1,func,variable):=Plotdata(name1,func,variable,[]);
+Plotdata(name1,func,variable,options):=(
+//help:Plotdata("1","sin(x)","x",["Num=100"]);
+//help:Plotdata("2","x^2","x=[-1,1]");
+//help:Plotdata("3","Fout(x)","x",["out"]);
+  regional(Fn,Va,tmp,tmp1,tmp2,eqL,name,Vname,x1,x2,dx,
+         PdL,QdL,Num,Ec,Dc,Fun,Exfun,x,Ke,Eps,Pa,
+         Ltype,Noflg,Inflg,Outflg,opstr,opcindy);
+  name="gr"+name1;
+  tmp=Divoptions(options);
+  Ltype=tmp_1;
+  Noflg=tmp_2;
+  Inflg=tmp_3;
+  Outflg=tmp_4;
+  opstr=tmp_(length(tmp)-1);
+  opcindy=tmp_(length(tmp));
+  eqL=tmp_5;
+  Num=50;
+  Ec=[];
+  Exfun="";
+  Dc=1000;
+  forall(eqL,
+    tmp=indexof(#,"=");
+    tmp1=substring(#,tmp,length(#));
+    opstr=opstr+",'"+#+"'";
+    if(substring(#,0,1)=="N",
+      Num=parse(tmp1);
+    );
+    if(substring(#,0,1)=="E",
+      if(substring(tmp1,0,1)=="[",
+        Ec=parse(tmp1);
+      ,
+        Exfun=tmp1;
+      );
+    );
+    if(substring(#,0,1)=="D",
+      Dc=parse(tmp1);
+    );
+  );
+  if(Inflg==0 & Outflg==0,
+    Eps=10^(-3);
+    tmp=replace(func,LFmark,"");
+    tmp=tokenize(variable,"=");
+    Vname=tmp_1;
+    if(length(tmp)>1,
+      tmp=tmp_2;
+      tmp=parse(tmp);
+      x1=tmp_1;
+      x2=tmp_2;
+      ,
+      x1=XMIN;
+      x2=XMAX;
+    );
+  //  dx=(x2-x2)/Num;  
+    Ec=append(sort(Ec),10000);
+    Fun=Assign(func,Vname, "xx");
+    Exfun=Assign(Exfun,Vname, "xx");
+    PdL=[];
+    Ke=1;
+    forall(0..Num, 
+      xx=x1+#*(x2-x1)/Num; // differs from Scilab ( / Num-1)
+      if(length(Exfun)>0,
+        tmp=parse(Exfun);
+        if(abs(tmp)<Eps,
+          if(length(Pdt)>0,
+            PdL=concat(PdL,["inf"]);
+          );
+        );
+      ,
+        Pa=[];
+        if(xx-Ec_Ke<-Eps,
+          Pa=[xx,parse(Fun)];
+        );
+        if(abs(xx-Ec_Ke)<=Eps,
+          if(length(PdL)>0,
+            if(PdL_(length(PdL))_1!="inf",
+              Pa=["inf"];
+            );
+          );
+        );
+        if(xx-Ec_Ke>Eps,
+          Pa=[xx,parse(Fun)];
+          Ke=Ke+1;
+        );
+        if(length(Pa)>0,
+          if(Pa_1=="inf",
+            PdL=concat(PdL,[Pa]);
+          ,
+            if(length(PdL)==0,
+              PdL=[Pa];
+            ,
+              tmp=PdL_(length(PdL));
+              if(tmp_1=="inf",
+                PdL=concat(PdL,[Pa]);
+              ,
+                if(dist(tmp,Pa)<Dc,
+                  PdL=concat(PdL,[Pa]);
+                ,
+                  PdL=concat(PdL,[["inf"],Pa]);
+                );
+              );
+            );
+          );
+        );
+      );
+    );
+    tmp1=[];
+    tmp2=select(1..length(PdL),PdL_#==["inf"]);
+    tmp=1;
+    forall(tmp2,
+      if(#>tmp,
+        tmp1=concat(tmp1,[PdL_(tmp..(#-1))])
+      );
+      tmp=#+1;
+    );
+    if(tmp<length(PdL),
+      tmp1=concat(tmp1,[PdL_(tmp..length(PdL))]);
+    );
+    PdL=tmp1;
+    if(length(PdL)==1,
+      PdL=PdL_1;
+    );
+    if(Noflg<3,
+      println("generate Plotdata "+name);
+      if(MeasureDepth(PdL)==1,
+        tmp1=apply(PdL,Pcrd(#));
+      ,
+        tmp1=[];
+        forall(PdL,tmp2,
+          tmp1=append(tmp1,apply(tmp2,Pcrd(#)));
+        );
+      );
+      tmp=name+"="+textformat(tmp1,5);
+      parse(tmp);
+      tmp1=replace(func,LFmark,"");
+      tmp2=replace(variable,LFmark,"");
+      tmp=name+"=Plotdata('"+tmp1+"','"+tmp2+"'"+opstr+")";
+      GLIST=append(GLIST,tmp);
+    );
+    if(Noflg<2,
+      if(isstring(Ltype),
+        Ltype=GetLinestyle(text(Noflg)+Ltype,name);
+      ,
+        if(Noflg==1,Ltype=0);
+      );
+      GCLIST=append(GCLIST,[name,Ltype,opcindy]);
+    );
+    PdL;
+  , 
+                              //  Inflg or Outflg >0  15.05.15
+    if(Noflg<3,
+      if(Outflg==1,
+        println("Output Plotdata "+name);
+        tmp=name+"=Plotdata('"+func+"','"+variable+"'"+opstr+")";
+        GLIST=append(GLIST,tmp);
+        SCIWRLIST=append(SCIWRLIST,name);
+        if(Inflg==0,Inflg=1);  // 15.05.17
+      );
+      if(Inflg==1,
+        println("Input Plotdata "+name);
+        if(length(SCIRELIST)==0,
+          ReadOutData(Fnameout);
+        );
+        tmp=parse(name);
+        if(islist(tmp),
+          Extractdata(name,["nodisp"]);  // 12.19
+        );
+        tmp="// "+name+"=Plotdata('"+func+"','"+variable+"'"+opstr+")";
+        Com1st(tmp);
+        SCIRELIST=append(SCIRELIST,name);
+      );
+    );
+    if(Noflg<2,
+      if(isstring(Ltype),
+        Ltype=GetLinestyle(text(Noflg)+Ltype,name);
+      ,
+        if(Noflg==1,Ltype=0);
+      );
+      if(Inflg==1,
+        GCLIST=append(GCLIST,[name,Ltype,opcindy]);
+      );
+    );
+  );
+);
+
+Paramplot(name1,funstr,variable):=Paramplot(name1,funstr,variable,[]);
+Paramplot(name1,funstr,variable,options):=(
+//help:Paramplot("1","[2*cos(t),sin(t)]","t=[0,2*pi]");
+  regional(name,Out,tmp,tmp1,tmp2,vname,func,str,Rng,Num,
+        Ec,Exfun,Dc,eqL,Fntmp,Vatmp,t1,t2,dt,tt,pa,ke,
+        Ltype,Noflg,Inflg,Outflg,opstr,opcindy);
+  name="gp"+name1; 
+  Eps=10^(-4);
+  tmp=Divoptions(options);
+  Ltype=tmp_1;
+  Noflg=tmp_2;
+  Inflg=tmp_3;
+  Outflg=tmp_4;
+  opstr=tmp_(length(tmp)-1);
+  opcindy=tmp_(length(tmp));
+  eqL=tmp_5;
+  Num=50;
+  Ec=[];
+  Exfun="";
+  Dc=1000;
+  forall(eqL,
+    tmp=indexof(#,"=");
+    tmp1=substring(#,tmp,length(#));
+    opstr=opstr+",'"+#+"'";
+    if(substring(#,0,1)=="N",
+      Num=parse(tmp1);
+    );
+    if(substring(#,0,1)=="E",
+      if(substring(tmp1,0,1)=="[",
+        Ec=parse(tmp1);
+      ,
+        Exfun=tmp1;
+      );
+    );
+    if(substring(#,0,1)=="D",
+      Dc=parse(tmp1);
+    );
+  );
+  if(Inflg==0 & Outflg==0,
+    tmp=indexof(variable,"=");
+    vname=substring(variable,0,tmp-1);
+    str=substring(variable,tmp,length(variable));
+    Rng=parse(str);
+    t1=Rng_1; t2=Rng_2;
+    dt=(t2-t1)/Num;// differs from Scilab ( / Num-1)
+    func=Assign(funstr,vname,"tt");
+    Out=[];
+    Ec=append(sort(Ec),10000);
+    ke=1;
+    forall(0..Num, 
+      pt=[];
+      tt=Rng_1+#*dt;
+      if(tt-Ec_ke<-Eps,
+        pa=parse(func);
+      );
+      if(abs(tt-Ec_ke)<=Eps,
+        if(length(Out)>0,
+          if(Out_(length(Out))_1!="inf",
+            pa=["inf"];
+          );
+        );
+      );
+      if(tt-Ec_ke>Eps,
+        pa=parse(func);
+        ke=ke+1;
+      );
+      if(length(pa)>0,
+        if(pa_1=="inf",
+          Out=append(Out,pa);
+        ,
+          if(length(Out)==0,
+            Out=[pa];
+          ,
+            tmp=Out_(length(Out));
+            if(tmp_1=="inf",
+              Out=append(Out,pa);
+            ,
+              if(|tmp-pa|<Dc,
+                Out=append(Out,pa);
+              ,
+                Out=concat(Out,[["inf"],pa]);
+              );
+            );
+          );
+        );
+      );
+    );
+    tmp1=[];
+    tmp2=select(1..length(Out),Out_#==["inf"]);
+    tmp=1;
+    forall(tmp2,
+      if(#>tmp,
+        tmp1=concat(tmp1,[Out_(tmp..(#-1))])
+      );
+      tmp=#+1;
+    );
+    if(tmp<length(Out),
+      tmp1=concat(tmp1,[Out_(tmp..length(Out))]);
+    );
+    Out=tmp1;
+    if(length(Out)==1,
+      Out=Out_1;
+    );
+    if(Noflg<3,
+      println("generate Paramplot "+name);
+      if(MeasureDepth(Out)==1,
+        tmp1=apply(Out,Pcrd(#));
+      ,
+        tmp1=[];
+        forall(Out,tmp2,
+          tmp1=append(tmp1,apply(tmp2,Pcrd(#)));
+        );
+      );
+      tmp=name+"="+textformat(tmp1,5);
+      parse(tmp);
+      tmp1=replace(funstr,LFmark,"");  // 15.11.13
+      tmp2=replace(variable,LFmark,"");
+      tmp=name+"=Paramplot('"+tmp1+"','"+tmp2+"'"+opstr+")";
+      GLIST=append(GLIST,tmp);
+    );
+    if(Noflg<2,
+      if(isstring(Ltype),
+        Ltype=GetLinestyle(text(Noflg)+Ltype,name);
+      ,
+        if(Noflg==1,Ltype=0);
+      );
+      GCLIST=append(GCLIST,[name,Ltype,opcindy]);
+    );
+    Out;
+  , 
+                              //  Inflg or Outflg >0  15.05.15
+    if(Noflg<3,
+      if(Outflg==1,
+        println("Output Paramplot "+name);
+        tmp=name+"=Paramplot('"+funstr+"','"+variable+"'"+opstr+")";
+        GLIST=append(GLIST,tmp);
+        SCIWRLIST=append(SCIWRLIST,name);
+         if(Inflg==0,Inflg=1);  // 15.05.17
+      );
+      if(Inflg==1,
+        println("Input Paramplotdata "+name);
+        if(length(SCIRELIST)==0,
+          ReadOutData(Fnameout);
+        );
+        tmp=parse(name);
+        if(islist(tmp),
+          Extractdata(name,["nodisp"]);  // 12.19
+        );
+        tmp="// "+name+"=Paramplot('"+func+"','"+variable+"'"+opstr+")";
+        Com1st(tmp);
+        SCIRELIST=append(SCIRELIST,name);
+      );
+    );
+    if(Noflg<2,
+      if(isstring(Ltype),
+        Ltype=GetLinestyle(text(Noflg)+Ltype,name);
+      ,
+        if(Noflg==1,Ltype=0);
+      );
+      if(Inflg==1,
+        GCLIST=append(GCLIST,[name,Ltype,opcindy]);
+      );
+    );
+  );
+);
+
+Circledata(cenrad):=Circledata(cenrad,[]);
+Circledata(para1,para2):=(
+//help:Circledata([A,B],["Rng=[0,pi/2]"]);
+//help:Circledata([A,B,C]);
+  regional(name,cenrad,options,str,n); 
+  if(isstring(para1), 
+    name=para1;
+    cenrad=para2;
+    options=[];
+    ,
+    cenrad=para1;
+    options=para2;
+    name="";// 16.10.07from
+    forall(cenrad, 
+       name=name+#.name;
+    );// 16.10.07upto
+  );
+  Circledata(name,cenrad,options);
+);
+Circledata(nm,cenrad,options):=(
+  regional(name,Out,Ctr,Ptcir,ra,Num,Rg,opstr,opcindy,
+      tmp,tmp1,tmp1,Th,Ltype,Noflg,eqL,pA,pB,pC,d1,d2,Eps);  
+  name="cr"+nm;
+  tmp=Divoptions(options);
+  Ltype=tmp_1;
+  Noflg=tmp_2;
+  opstr=tmp_(length(tmp)-1);
+  opcindy=tmp_(length(tmp));
+  eqL=tmp_5;
+  Num=50;
+  Rg=[0,2*pi];
+  forall(eqL,
+    tmp=indexof(#,"=");
+    tmp1=substring(#,tmp,length(#));
+    opstr=opstr+",'"+#+"'";
+    if(substring(#,0,1)=="N",
+      Num=parse(tmp1);
+    );
+    if(substring(#,0,1)=="R",
+      Rg=parse(tmp1);
+    );
+  );
+  if(length(cenrad)==2,
+    Ctr=Lcrd(cenrad_1);
+    Ptcir=Lcrd(cenrad_2);
+    ra=dist(Ctr,Ptcir);
+  ,
+    Eps=10^(-1);
+    pA=Lcrd(cenrad_1);
+    pB=Lcrd(cenrad_2);
+    pC=Lcrd(cenrad_3);
+    tmp=pB-pA;
+    tmp1=(tmp_2,-tmp_1);
+    tmp=pC-pB;
+    tmp2=(tmp_2,-tmp_1);
+    d1=det([tmp1,tmp2]);
+    d2=det([pC-pA,tmp2]);
+    if(abs(d1)<Eps & abs(d2)>10*Eps,
+      println("points are in a line");
+      ra=0;
+    ,
+      Ctr=1/2*(pA+pB)+1/2*d2/d1*tmp1;
+      ra=|pA-Ctr|;
+      tmp=name+"center="+Ctr;
+      parse(tmp);
+      Defvar(name+"center",Ctr);
+    );
+  );
+  if(ra>0,
+    Out=[];
+    forall(0..Num,
+      Th=Rg_1+#*(Rg_2-Rg_1)/Num;
+      Out=append(Out,Ctr+ra*[cos(Th),sin(Th)]);
+    );
+  ,
+    Out=Lineplot("1",[pA,pB],["nodata"]);
+  );
+  if(Noflg<3,
+    println("generate Circledata "+name);
+    tmp1=apply(Out,Pcrd(#));
+    tmp=name+"="+textformat(tmp1,5);
+    parse(tmp);
+    if(length(cenrad)==2,
+      tmp=name+"=Circledata("+cenrad+opstr+")";
+    ,
+      if(ra>0,
+        tmp=name+"=Circledata(["+Ctr+","+cenrad_1+"]"+opstr+")";
+      ,
+        tmp=name+"=Lineplot("+cenrad_1+","+cenrad_2+")";
+      );
+    );
+    GLIST=append(GLIST,tmp);
+  );
+  if(Noflg<2,
+    if(isstring(Ltype),
+      Ltype=GetLinestyle(text(Noflg)+Ltype,name);
+    ,
+      if(Noflg==1,Ltype=0);
+    );
+    GCLIST=append(GCLIST,[name,Ltype,opcindy]);
+  );
+  Out;
+);
+
+Framedata():=(
+  regional(pA,pB);
+  pA=LLcrd((SW+NE)/2); // 15.09.17
+  pB=LLcrd(NE);
+  Framedata("win",[pA,pB]);
+);
+Framedata(list):=Framedata(list,[]);
+Framedata(Arg1,Arg2):=(
+  regional(name,list,options,str);
+  if(isstring(Arg1),
+    name=Arg1;
+    list=Arg2;
+    Framedata(name,list,[]);
+  ,
+    list=Arg1;
+    options=Arg2;
+    name="";// 16.10.07from
+    forall(list, 
+       name=name+#.name;
+    );// 16.10.07upto
+    Framedata(name,list,options);
+  );
+);
+
+Framedata(nm,list,options):=(
+//help:Framedata();
+//help:Framedata([A,B]);
+//help:Framedata("1",[A,B]);
+//help:Framedata("1",[C,dx,dy]);
+  regional(name,Out,tmp,tmp1,pB,x1,x2,y1,y2,dx,dy,
+      opcindy,Ltype,Noflg,cent,dx,dy);
+  name="fr"+nm;
+  tmp=Divoptions(options);
+  Ltype=tmp_1;
+  Noflg=tmp_2;
+  opcindy=tmp_(length(tmp));
+  if(length(list)==2,  // 15.05.12
+    pA=Lcrd(list_1); pB=Lcrd(list_2);
+    dx=abs(pB_1-pA_1); dy=abs(pB_2-pA_2);
+  ,
+    pA=Lcrd(list_1);
+    dx=list_2; dy=list_3;
+  );
+  x1=pA_1-dx; x2=pA_1+dx;
+  y1=pA_2-dy; y2=pA_2+dy;
+  Out=[[x1,y1],[x2,y1],[x2,y2],[x1,y2],[x1,y1]];
+  if(Noflg<3,
+    println("generate Framedata "+name);
+    tmp1=apply(Out,Pcrd(#));
+    tmp=name+"="+textformat(tmp1,5);
+    parse(tmp);
+    GLIST=append(GLIST,name+"=Framedata("+pA+","+dx+","+dy+")");
+  );
+  if(Noflg<2,
+    if(isstring(Ltype),
+      Ltype=GetLinestyle(text(Noflg)+Ltype,name);
+    ,
+      if(Noflg==1,Ltype=0);
+    );
+    GCLIST=append(GCLIST,[name,Ltype,opcindy]);
+  );
+  Out;
+);
+Framedata(nm,cent,dx,dy):=Framedata(nm,cent,dx,dy,[]);
+Framedata(nm,cent,dx,dy,options):=(
+  regional(name,Out,tmp,tmp1,x1,y1,x2,y2,Ltype,opcindy,Noflg);
+  name="fr"+nm;
+  tmp=Divoptions(options);
+  Ltype=tmp_1;
+  Noflg=tmp_2;
+  opcindy=tmp_(length(tmp));
+  x1=cent.x-dx; x2=cent.x+dx;
+  y1=cent.y-dy; y2=cent.y+dy;
+  Out=[[x1,y1],[x2,y1],[x2,y2],[x1,y2],[x1,y1]];
+  if(Noflg<3,
+    println("generate Framedata "+name);
+    tmp1=apply(Out,Pcrd(#));
+    tmp=name+"="+textformat(tmp1,5);
+    parse(tmp);
+    GLIST=append(GLIST,name+"=Framedata("+cent.xy+","+dx+","+dy+")");
+  );
+  if(Noflg<2,
+    if(isstring(Ltype),
+      Ltype=GetLinestyle(text(Noflg)+Ltype,name);
+    ,
+      if(Noflg==1,Ltype=0);
+    );
+    GCLIST=append(GCLIST,[name,Ltype,opcindy]);
+  );
+  Out;
+);
+
+Framedata2(nm,list):=Framedata2(nm,list,[]);
+Framedata2(nm,list,options):=(
+//help:Framedata2("1",[A,B]);
+  regional(tmp,tmp1,pC,pB);
+  pC=(Lcrd(list_1)+Lcrd(list_2))/2;
+  pB=Lcrd(list_2);
+  Framedata(nm,[pC,pB],options);
+);
+
+Ovaldata(nm,Pdata):=Ovaldata(nm,Pdata,[]);
+Ovaldata(nm,Pdata,options):=(
+//help:Ovaldata("1",[A,B]);
+//help:Ovaldata(optios=[size]);
+  regional(name,Graph,Ctr,Dx,Dy,Rc,Out,Point,Graph,
+      opstr,opcindy,tmp,tmp1,tmp2,tmp3,Ltype,Noflg);  
+  name="ov"+nm;
+  tmp=Divoptions(options);
+  Ltype=tmp_1;
+  Noflg=tmp_2;
+  opcindy=tmp_(length(tmp));
+  opstr=tmp_(length(tmp)-1);
+  Rc=0.2;
+  tmp1=tmp_6;
+  if(length(tmp1)>0,Rc=tmp1_1*Rc);
+//  if(length(tmp1)>0,Rc=tmp1_1);  //15.11.15
+  Ctr=Lcrd(Pdata_1);
+  if(ispoint(Pdata_2) % islist(Pdata_2),
+    tmp1=Lcrd(Pdata_2);
+    Dx=abs(tmp1_1-Ctr_1);
+    Dy=abs(tmp1_2-Ctr_2);
+  ,
+    Dx=Pdata_2;
+    Dy=Pdata_3;
+  );
+  Point=Ctr+[Dx-Rc,Dy-Rc];
+  tmp1=Circledata("1",[Point,Point+[Rc,0]],
+     ["Rng=[0,pi/2]","Num=10","nodata"]);
+  tmp2=Listplot("1",[Ctr+[Dx-Rc,Dy],Ctr+[0,Dy]],
+     ["nodata"]);
+  tmp3=Listplot("2",[Ctr+[Dx,0],Ctr+[Dx,Dy-Rc]],
+     ["nodata"]);
+  Graph=Joincrvs("1",[tmp3,tmp1,tmp2],["nodata"]);
+  tmp1=Reflectdata("1",[Graph],[Ctr,Ctr+[0,1]],["nodata"]);
+  Graph=Joincrvs("1",[Graph,tmp1],["nodata"]);
+  tmp2=Reflectdata("2",[Graph],[Ctr,Ctr+[1,0]],
+     ["nodata"]);
+  Graph=Joincrvs("2",[Graph,tmp2],["nodata"]);
+  if(Noflg<3,
+    println("generate Ovaldata "+name);
+    tmp1=apply(Graph,Pcrd(#));
+    tmp=name+"="+textformat(tmp1,5);
+    parse(tmp);
+    GLIST=append(GLIST,
+	  name+"=Ovaldata("+Ctr+","+Dx+","+Dy+opstr+")");//16.01.30
+  );
+  if(Noflg<2,
+    if(isstring(Ltype),
+      Ltype=GetLinestyle(text(Noflg)+Ltype,name);
+    ,
+      if(Noflg==1,Ltype=0);
+    );
+    GCLIST=append(GCLIST,[name,Ltype,opcindy]);
+    tmp1=apply(Graph,Pcrd(#));
+    tmp=name+"="+textformat(tmp1,5);
+    parse(tmp);
+    tmp=textformat(Ctr,5)+","+textformat(Dx,5)+","+textformat(Dy,5);
+    GLIST=append(GLIST,
+      name+"=Ovaldata("+tmp+opstr+")");
+  );
+  Graph;
+);
+
+Segmark(nm,ptlist):=Segmark(nm,ptlist,[]);
+Segmark(nm,ptlist,options):=Drawsegmark(nm,ptlist,options);
+Drawsegmark(nm,ptlist):=Drawsegmark(nm,ptlist,[]);
+Drawsegmark(nm,ptlist,options):=(
+//help:Segmark("1",[A,B]);
+//help:Segmark(options=["Type=1","Width=1","Size=1"]);
+  regional(name,pA,pB,wid,mid,size,tp,dir,nor,eqL,
+      tmp,tmp1,tmp2);
+  name="mrk"+nm;
+  pA=ptlist_1;
+  pB=ptlist_2;
+  size=0.15;
+  wid=0.05;
+  tp=1;
+  tmp1=Divoptions(options);
+  eqL=tmp1_5;
+  forall(eqL,
+    tmp=indexof(#,"=");
+    tmp1=substring(#,tmp,length(#));
+    tmp1=parse(tmp1);
+    tmp=substring(#,0,1);
+    if(tmp=="S" % tmp=="s",
+      size=size*tmp1;
+    );
+    if(tmp=="W" % tmp=="w",
+      wid=wid*tmp1;
+    );
+    if(tmp=="T" % tmp=="t",
+      tp=tmp1;
+    );
+  );
+  mid=(pA+pB)/2;
+  dir=(pB-pA)/|pB-pA|;
+  nor=[-dir_2,dir_1];
+//  nor=nor/|nor|;
+  if(tp==1,
+    tmp1=mid+size*nor;
+    tmp2=mid-size*nor;
+    Listplot(name,[tmp1,tmp2]);
+  );
+  if(tp==2,
+    tmp1=mid+wid*dir+size*nor;
+    tmp2=mid+wid*dir-size*nor;
+    Listplot(name+"r",[tmp1,tmp2]);
+    tmp1=mid-wid*dir+size*nor;
+    tmp2=mid-wid*dir-size*nor;
+    Listplot(name+"l",[tmp1,tmp2]);
+  );
+  if(tp==3,
+    tmp1=mid;
+    tmp2=mid+size*dir;
+    Circledata(name,[tmp1,tmp2]);
+  );
+  if(tp==4,
+    tmp=mid+size*2/sqrt(3)*nor;
+    tmp1=mid+size*dir-size/sqrt(3)*nor;
+    tmp2=mid-size*dir-size/sqrt(3)*nor;
+    Listplot(name,[tmp,tmp1,tmp2,tmp]);
+  );
+);
+
+Parabolaplot(nm,ptlist):=Parabolaplot(nm,ptlist,"[-5,5]",[]);
+Parabolaplot(nm,ptlist,Arg):=(
+  regional(rng,options);
+  if(isstring(Arg),
+    rng=Arg;
+    options=[];
+  ,
+    rng="[-5,5]";
+    options=Arg;
+  );
+  Parabolaplot(nm,ptlist,rng,options);
+);
+Parabolaplot(nm,ptlist,rng,options):=(
+//help:Parabolaplot("1",[A,B,C]):
+//help:Parabolaplot("1",[A,B,C],"[-5,5]");
+  regional(pA,pB,pC,angle,tmp,tmp1,tmp2);
+  tmp1=Lcrd(ptlist_1);
+  tmp2=Lcrd(ptlist_3);
+  pB=Lcrd(ptlist_2);
+  tmp=(tmp2-pB)/|tmp2-pB|;
+  if(tmp_2>=0,
+    angle=arccos(tmp_1);
+  ,
+    if(tmp_1>=0,
+      angle=arcsin(tmp_2);
+    ,
+      angle=-arccos(tmp_1);
+    );
+  );
+  pA=Rotatepoint(tmp1,-angle,pB);
+  pC=Rotatepoint(tmp2,-angle,pB);
+  tmp1=1/(2*(pA_2-pB_2));
+  tmp2=1/2*(pA_2+pB_2);
+  tmp="("+format(tmp1,5)+")*(x-("+format(pA_1,5)+"))^2";
+  tmp=tmp+"+("+format(tmp2,5)+")";
+  tmp1=parse(rng);
+  tmp1=[pA_1-(tmp1_2-tmp1_1)/2,pA_1+(tmp1_2-tmp1_1)/2];
+  tmp2="x="+textformat(tmp1,5);
+  Plotdata(nm+"para",tmp,tmp2,append(options,"nodisp"));
+  Rotatedata(nm+"para","gr"+nm+"para",angle,append(options,pB));
+);
+
+Ellipseplot(nm,ptlist):=Ellipseplot(nm,ptlist,"[0,2*pi]",[]);
+Ellipseplot(nm,ptlist,Arg):=(
+  regional(rng,options);
+  if(isstring(Arg),
+    rng=Arg;
+    options=[];
+  ,
+    rng="[0,2*pi]";
+    options=Arg;
+  );
+  Ellipseplot(nm,ptlist,rng,options);
+);
+Ellipseplot(nm,ptlist,rng,options):=(
+//help:Ellipseplot("1",[A,B,3]);
+//help:Ellipseplot("1",[A,B,C],"[0,pi]",[options]);
+  regional(pA,pB,d,angle,f,a,b,pM,tmp,tmp1,tmp2);
+  pA=Lcrd(ptlist_1);
+  tmp1=Lcrd(ptlist_2);
+  if(ispoint(ptlist_3),
+    tmp2=Lcrd(ptlist_3);
+    d=|tmp2-pA|+|tmp2-tmp1|;
+  ,
+    d=ptlist_3;
+  );
+  tmp=(tmp1-pA)/|tmp1-pA|;
+  if(tmp_2>=0,
+    angle=arccos(tmp_1);
+  ,
+    if(tmp_1>=0,
+      angle=arcsin(tmp_2);
+    ,
+      angle=-arccos(tmp_1);
+    );
+  );
+  pB=Rotatepoint(tmp1,-angle,pA);
+  f=|pB_1-pA_1|/2;
+  a=d/2;
+  b=sqrt(d^2/4-f^2);
+  pM=(pA+pB)/2;
+  tmp="["+format(pM_1,5)+","+format(pM_2,5)+"]";
+  tmp=tmp+"+["+format(a,5)+"*cos(t),"+format(b,5)+"*sin(t)]";
+  Paramplot(nm+"elp",tmp,"t="+rng,append(options,"nodisp"));
+  Rotatedata(nm+"elp","gp"+nm+"elp",angle,append(options,pA));
+);
+
+Hyperbolaplot(nm,ptlist):=Hyperbolaplot(nm,ptlist,"[-5/2,5/2]",[]);
+Hyperbolaplot(nm,ptlist,Arg):=(
+  regional(rng,options);
+  if(isstring(Arg),
+    rng=Arg;
+    options=[];
+  ,
+    rng="[-5/2,5/2]";
+    options=Arg;
+  );
+  Hyperbolaplot(nm,ptlist,rng,options);
+);
+Hyperbolaplot(nm,ptlist,rng,optionsorg):=(
+//help:Hyperbolaplot("1",[A,B,C],["Num=200"]):
+//help:Hyperbolaplot("1",[A,B,C],"[-5,5]",["Asy=do"]);
+  regional(pA,pB,d,angle,f,a,b,pM,eqL,options,opasy,tmp,tmp1,tmp2);
+  tmp=Divoptions(optionsorg);
+  eqL=tmp_5;
+  options=optionsorg;
+  opasy=[];
+  forall(eqL,
+    if(Toupper(substring(#,0,1))=="A",
+      tmp=indexof(#,"=");
+      opasy=[substring(#,tmp,length(#))];
+      options=remove(options,[#]);
+    );
+  );
+  pA=Lcrd(ptlist_1);
+  tmp1=Lcrd(ptlist_2);
+  if(ispoint(ptlist_3),
+    tmp2=Lcrd(ptlist_3);
+    d=abs(|tmp2-pA|-|tmp2-tmp1|);
+  ,
+    d=ptlist_3;
+  );
+  tmp=(tmp1-pA)/|tmp1-pA|;
+  if(tmp_2>=0,
+    angle=arccos(tmp_1);
+  ,
+    if(tmp_1>=0,
+      angle=arcsin(tmp_2);
+    ,
+      angle=-arccos(tmp_1);
+    );
+  );
+  pB=Rotatepoint(tmp1,-angle,pA);
+  f=|pB_1-pA_1|/2;
+  a=d/2;
+  b=sqrt(f^2-d^2/4);
+  pM=(pA+pB)/2;
+  tmp="["+format(pM_1,5)+"+"+format(a,5)+"*(exp(t)+exp(-t))/2,";
+  tmp=tmp+format(pM_2,5)+"+"+format(b,5)+"*(exp(t)-exp(-t))/2]";
+  Paramplot(nm+"hyp1",tmp,"t="+rng,append(options,"nodisp"));
+  tmp="["+format(pM_1,5)+"-"+format(a,5)+"*(exp(t)+exp(-t))/2,";
+  tmp=tmp+format(pM_2,5)+"+"+format(b,5)+"*(exp(t)-exp(-t))/2]";
+  Paramplot(nm+"hyp2",tmp,"t="+rng,append(options,"nodisp"));
+  tmp=["gp"+nm+"hyp1","gp"+nm+"hyp2"];
+  Rotatedata(nm+"hyp",tmp,angle,append(options,pA));
+  if(length(opasy)>0,
+    Lineplot(nm+"asy1",[pM+[a,b],pM+[-a,-b]],["nodisp"]);
+    Lineplot(nm+"asy2",[pM+[-a,b],pM+[a,-b]],["nodisp"]);
+    tmp=["ln"+nm+"asy1","ln"+nm+"asy2"];
+    Rotatedata(nm+"asy",tmp,angle,append(opasy,pA));
+  );
+);
+
+Polygonplot(nm,ptlist,number):=Polygonplot(nm,ptlist,number,[]);
+Polygonplot(nm,ptlist,number,options):=(
+//help:Polygonplot("1",[A,B],12);
+  regional(rr,pA,pB,ptL,angle,tmp,tmp1,tmp2);
+  pA=Lcrd(ptlist_1);
+  pB=Lcrd(ptlist_2);
+  rr=|pB-pA|;
+  tmp=(pB-pA)/rr;
+  if(tmp_2>=0,
+    angle=arccos(tmp_1);
+  ,
+    if(tmp_1>=0,
+      angle=arcsin(tmp_2);
+    ,
+      angle=-arccos(tmp_1);
+    );
+  );
+  ptL=[];
+  forall(0..number,
+    tmp=angle+#*2*pi/number;
+    tmp1=pA+rr*[cos(tmp),sin(tmp)];
+    if(#>0 & #<number,
+     Putpoint((ptlist_2).name+text(#),tmp1);//16.10.07
+     //Pointdata(nm,ptL);
+    );
+    tmp2=tmp1;
+    ptL=append(ptL,tmp1);
+  );
+  Listplot(nm+"ply",ptL,options);
+);
+
+Putintersect(nm,pdata1,pdata2):=(
+//help:Putintersect("Q","gr1","gr2");
+  regional(pd1,pd2,tmp);
+  if(isstring(pdata1),pd1=parse(pdata1),pd1=pdata1);
+  if(isstring(pdata2),pd2=parse(pdata2),pd2=pdata2);
+  tmp=Intersectcrvs(pd1,pd2);
+  if(length(tmp)==1,
+    Putpoint(nm,tmp_1);
+  ,
+    if(length(tmp)==0,
+      err("No intersect point");
+    ,
+      err("Multiple intersect points");
+      println(tmp);
+      err("Choose point number");
+    );
+  );
+);
+Putintersect(nm,pdata1,pdata2,ptno):=(
+  regional(pd1,pd2,tmp);
+  if(isstring(pdata1),pd1=parse(pdata1),pd1=pdata1);
+  if(isstring(pdata2),pd2=parse(pdata2),pd2=pdata2);
+  tmp=Intersectcrvs(pd1,pd2);
+  if(length(tmp)>0,
+    Putpoint(nm,tmp_ptno);
+  ,
+    err("No intersect point");
+  );
+);
+
+Arrowheaddata(point,direction):=Arrowheaddata(point,direction,[]);
+Arrowheaddata(point,direction,options):=(
+//help:Arrowheaddata(A,B);
+  regional(list,Ookisa,Hiraki,Futosa,Houkou,Str,Flg,tmp,Ev,Nv,pA,pB,
+       pP,rF,gG,Flg,Nj,Eps,tmp1,scx,scy);
+  Eps=10^(-3);
+  pP=point;
+  Ookisa=0.2*YaSize;
+  Hiraki=YaAngle;
+  Futosa=0;
+  Str=YaStyle;
+  tmp=Divoptions(options);
+  tmp1=tmp_6;
+  if(length(tmp1)>0,Ookisa=Ookisa*tmp1_1);
+  if(length(tmp1)>1,
+    tmp=tmp1_2;
+    if(tmp<5, 
+      Hiraki=Hiraki*tmp;
+    ,
+      Hiraki=tmp;
+    );
+  );
+  Flg=0;
+  Hiraki=Hiraki*pi/180;
+  if(isstring(direction),Houkou=parse(direction),Houkou=direction);
+  if(MeasureDepth(Houkou)==2,Houkou=Houkou_1);
+  if(islist(Houkou_1),
+//    pP=Lcrd(pP);
+//    pP=Doscaling(pP);
+//    Houkou=Dosscaling(Houkou);
+    pP=Pcrd(pP);
+	scy=SCALEY;
+    SCALEY=1;
+    tmp=Nearestpt(pP,Houkou);
+    pA=tmp_1;
+    rF=floor(tmp_2);
+    if(rF==1,
+      if(|Ptend(Houkou)-Ptstart(Houkou)|<Eps,
+        rF=Numptcrv(Houkou);
+      );
+    );
+    gG=apply(0..10,pP+Ookisa*cos(Hiraki)*[cos(2*pi/10*#),sin(2*pi/10*#)]);
+	Flg=0; 
+    forall(1..rF,Nj,
+      if(Flg==0,
+        pB=Ptcrv(rF+1-Nj,Houkou);
+        tmp=IntersectcrvsPp([pA,pB],gG);
+        if(length(tmp)>0,
+          Houkou=pP-tmp_1_1;
+          Flg=1;
+        );
+        pA=pB;
+      );
+    );
+	SCALEY=scy;
+    if(Flg==0,
+      println("Arrowhead may be too large (no intersect)");
+      Flg=2;
+    );
+    if(Flg==1,
+      Houkou=Unscaling(Houkou);
+      pP=Unscaling(pP);
+    );
+  );
+  if(Flg<2,
+//    pP=Doscaling(pP);
+//    Houkou=Doscaling(Houkou);
+    pP=Pcrd(pP);
+    if(!ispoint(point),
+      Houkou=Pcrd(Houkou);
+    );
+//    if(MeasureDepth(Houkou)==0,Houkou=Pcrd(Houkou));
+    Ev=-1/|Houkou|*Houkou;
+    Ev=Lcrd(Ev);
+    Nv=[-Ev_2, Ev_1];
+    if(indexof(Str,"c")>0,
+      pP=pP-0.5*Ookisa*cos(Hiraki)*Ev;
+    );
+    if(indexof(Str,"b")>0,
+      pP=pP-Ookisa*cos(Hiraki)*Ev;
+    );
+    pA=pP+Ookisa*cos(Hiraki)*Ev+Ookisa*sin(Hiraki)*Nv;
+    pB=pP+Ookisa*cos(Hiraki)*Ev-Ookisa*sin(Hiraki)*Nv;
+    list=[pA,pP,pB];
+    list=apply(list,LLcrd(#));
+//  Out=Unscaling(Out);
+    list;
+  );
+);
+
+Arrowhead(point,Houkou):=Arrowhead(point,Houkou,[]);
+Arrowhead(point,Houkou,options):=(
+//help:Arrowhead(B,B-A,[1.5,30]);
+//help:Arrowhead(A,"gr1");
+  // global ArrowheadNumber
+  regional(name,Ltype,Noflg,reL,opstr,opcindy,ptstr,hostr,tmp,tmp1,list);
+  name="arh"+text(ArrowheadNumber);
+  ArrowheadNumber=ArrowheadNumber+1;
+  ptstr=textformat(point,5);
+  if(isstring(Houkou),  // 15.01.11
+    tmp=parse(Houkou);
+    if(MeasureDepth(tmp)<2,
+      hostr=Houkou;
+    ,
+      hostr=Houkou+"(1)";
+    );
+  ,
+    if(ispoint(point),
+      hostr=textformat(LLcrd(Houkou),5);
+    ,
+      hostr=textformat(Houkou,5);
+    );
+  );
+  tmp=Divoptions(options);
+  Ltype=tmp_1;
+  Noflg=tmp_2;
+  reL=tmp_6;
+  opstr=tmp_(length(tmp)-1);
+  opcindy=tmp_(length(tmp));
+  list=Arrowheaddata(point,Houkou,options);
+  if(Noflg<3,
+//    println("generate Arrowhead "+name);
+    tmp1=apply(list,Pcrd(#));
+    tmp=name+"="+textformat(tmp1,5);
+    parse(tmp);
+//	  GLIST=append(GLIST,name+"=Listplot("+list+")");
+  );
+  if(Noflg<2,
+    if(isstring(Ltype),
+      Ltype=GetLinestyle(text(1)+Ltype,name);
+    ,
+//	  if(Noflg==1,Ltype=0);
+      Ltype=0;
+    );
+    GCLIST=append(GCLIST,[name,Ltype,opcindy]);
+  );
+  if(Noflg==0,
+    if(length(reL)<3,  // 16.04.09 from
+      forall(1..(2-length(reL)),
+        opstr=opstr+",1";
+      );
+      tmp=PenThick/PenThickInit;
+      opstr=opstr+","+text(tmp);
+    );  // 16.04.09 upto
+	Com2nd("Arrowhead("+ptstr+","+hostr+opstr+")");   
+  );
+);
+
+Arrowdata(ptlist):=Arrowdata(ptlist,[]);
+Arrowdata(Arg1,Arg2):=(
+  regional(tmp,nm,ptlist,flg,pA,pB,options);
+  flg=0;
+  if(isstring(Arg1),
+    nm=Arg1;
+    ptlist=Arg2;
+    Arrowdata(nm,ptlist,[]);
+    flg=1;
+  );
+  if(flg==0,
+    tmp=MeasureDepth(Arg1);
+    if(tmp==0,
+      pA=Arg1;
+      pB=Arg2;
+      Arrowdata(pA,pB,[]);
+    ,
+      ptlist=Arg1;
+      options=Arg2;
+      nm=text(ArrowlineNumber);
+      ArrowlineNumber=ArrowlineNumber+1;
+      Arrowdata(nm,ptlist,options);
+    );
+  );
+);
+Arrowdata(Arg1,Arg2,options):=(
+//help:Arrowdata([A,B],[2,10]);
+  regional(Retflg,nm,ptlist,name,opstr,opcindy,realL,strL,size,
+      flg,Ltype,Noflg,lineflg,tmp,tmp1,tmp2,pA,pB,segpos);
+  Retflg=0;
+  Noflg=0;
+  Ltype=0;
+  if(!isstring(Arg1),
+    pA=Arg1;
+    pB=Arg2;
+    Arrowdata(pA,pB,options,"old");
+    Retflg=1;
+    ptlist=[pA,pB];
+  );
+  if(Retflg==0,
+    nm=Arg1;
+    ptlist=Arg2;
+    name="ar"+nm;
+    tmp=Divoptions(options);
+    Ltype=tmp_1;
+    Noflg=tmp_2;
+    realL=tmp_6;
+    strL=tmp_7;
+    opstr=tmp_(length(tmp)-1);
+    opcindy=tmp_(length(tmp));
+    size=1;  // 15.06.11
+    if(length(realL)>0,
+      size=realL_1;
+    );
+    tmp2=select(strL,indexof(#,"l")>0); // 16.04.09
+    if(length(tmp2)>0,lineflg=1,lineflg=0); // 16.04.09
+    segpos=1;
+    tmp1=tmp_5;
+    if(length(tmp1)>2,
+      segpos=tmp1_3;
+    );
+    if(Noflg<3,
+//      println("generate Arrowdata "+name);
+      tmp1=apply(ptlist,Pcrd(#));
+      tmp=name+"="+textformat(tmp1,5);
+      parse(tmp);
+      tmp1=Pcrd(ptlist_1);//16.10.20
+      tmp2=Pcrd(ptlist_2);//16.10.20
+      if(lineflg==0, // 16.04.09 from
+        tmp=tmp2-0.2*size/2*(tmp2-tmp1)/|tmp2-tmp1|;   // 15.06.11
+      ,
+        tmp=tmp2;
+      );  // 16.04.09 upto
+      tmp=[LLcrd(tmp1),LLcrd(tmp)];//16.10.20
+      GLIST=append(GLIST,name+"=Listplot("+textformat(tmp,5)+")");
+    );
+    if(Noflg<2,
+      if(isstring(Ltype),
+        Ltype=GetLinestyle(text(Noflg)+Ltype,name);
+      ,
+        if(Noflg==1,Ltype=0);
+      );
+      tmp=textformat(ptlist,5);
+      tmp=substring(tmp,1,length(tmp)-1);
+      tmp1=indexof(tmp,"],[");
+      if(tmp1>0,
+        pA=substring(tmp,0,tmp1);
+        pB=substring(tmp,tmp1+1,length(tmp));
+      ,
+        tmp1=indexof(tmp,",");
+        pA=substring(tmp,0,tmp1-1);
+        pB=substring(tmp,tmp1,length(tmp));
+      );
+      tmp1="Lcrd("+pA+")+"
+	      +textformat(segpos,5)+"*(Lcrd("+pB+")-"+"Lcrd("+pA+"))";
+      tmp1=parse(tmp1);
+      tmp2="Lcrd("+pB+")-Lcrd("+pA+")";
+      tmp2=parse(tmp2);
+	  Arrowhead(tmp1,tmp2,options);
+      GCLIST=append(GCLIST,[name,Ltype,opcindy]);
+    );
+  );
+  ptlist;
+);
+Arrowdata(pA,pB,options,str):=(
+  regional(ptA,ptB,opstr,Astr,Bstr,name,tmp,opcindy);
+  Astr=textformat(pA,5);
+  Bstr=textformat(pB,5);  
+  name="ar"+pA.name+pB.name;
+  println("generate Arrow "+name);
+  opstr="";
+  opcindy="";
+  forall(options,
+    if(isstring(#),
+      if(indexof(#,"->")>0,
+        opcindy=opcindy+","+#;
+      ,
+        tmp="'"+#+"'";
+      );
+    ,
+      tmp=text(#);
+    );
+    opstr=opstr+","+tmp;
+  );
+  ptA=Lcrd(pA);
+  ptB=Lcrd(pB);
+  Arrowheaddata(ptB,ptB-ptA,options);
+  tmp="connect("+textformat([ptA,ptB],5)
+     +",linecolor->"+text(KCOLOR)+opcindy+");";
+  parse(tmp);  // 14.11.17
+  Com2nd("Arrowline("+Astr+","+Bstr+opstr+")"); // 14.10.04
+);
+
+Anglemark(plist):=Anglemark(plist,[]);
+Anglemark(Arg1,Arg2):=(           // 2015.04.28 from
+  regional(nm,plist,options,tmp);
+  if(isstring(Arg1),
+    nm=Arg1;
+    plist=Arg2;
+    Anglemark(nm,plist,[]);
+  ,
+    plist=Arg1;
+    options=Arg2;
+    tmp=textformat(plist,5);
+    tmp=replace(tmp,",","");
+    nm=substring(tmp,1,length(tmp)-1);
+    Anglemark(nm,plist,options);
+  );
+);                    // upto
+Anglemark(nm,plist,options):=(
+//help:Anglemark([A,B,C],["E=\theta",2]);
+//help:Anglemark("1",[A,B,C],["E=1.2,\theta",2]);
+//help:Anglemark(options=["E/L=(sep,)letter",size]);
+  regional(name,Out,pB,pA,pC,Ctr,ra,sab,sac,ratio,opstr,Bname,Bpos,
+       Brat,tmp,tmp1,tmp2,Num,opcindy,Ltype,eqL,realL,Rg,Th,Noflg);
+  name="ag"+nm;
+  ra=0.5;
+  tmp=Divoptions(options);
+  Ltype=tmp_1;
+  Noflg=tmp_2;
+  opstr=tmp_(length(tmp)-1);
+  opcindy=tmp_(length(tmp));
+  eqL=tmp_5;
+  realL=tmp_6;
+  Bname="";
+  Brat=1.5;
+  Num=20;
+  if(length(realL)>0,
+    ra=realL_1*ra;
+    opstr=opstr+","+text(realL_1);
+  );
+  forall(eqL,
+    if(substring(#,0,1)=="L",Bname="Letter(");
+    if(substring(#,0,1)=="E",Bname="Expr(");
+    Bpos="md"+name;
+    Bname=Bname+Bpos+","+Dq+"c"+Dq+","+Dq;//16.10.29
+    tmp=substring(#,indexof(#,"="),length(#));
+    tmp1=indexof(tmp,",");
+    Bname=Bname+substring(tmp,tmp1,length(tmp))+Dq+")";
+    if(tmp1>0,
+      Brat=parse(substring(tmp,0,tmp1-1));
+    );
+  );
+  pB=Lcrd(plist_1); pA=Lcrd(plist_2); pC=Lcrd(plist_3);
+  Ctr=Lcrd(pA);
+  sab=pB-pA;
+  sac=pC-pA;
+  Rg=[arctan2(sab)+0,arctan2(sac)+0];
+  if(Rg_2<Rg_1,Rg_2=Rg_2+2*pi);
+  Out=[];
+  forall(0..Num,
+    Th=Rg_1+#*(Rg_2-Rg_1)/Num;
+    Out=append(Out,Ctr+ra*[cos(Th),sin(Th)]);
+  );
+  if(length(Bname)>0,
+    Th=(Rg_1+Rg_2)/2;
+    tmp1=Ctr+Brat*ra*[cos(Th),sin(Th)];
+    tmp="Defvar("+Dq+Bpos+"=";
+    tmp=tmp+textformat(tmp1,5)+Dq+");";
+    parse(tmp);
+	parse(Bname);
+  );
+  if(Noflg<3,
+    println("generate anglemark "+name);
+    tmp1=apply(Out,Pcrd(#));
+    tmp=name+"="+textformat(tmp1,5);
+    parse(tmp);
+    tmp=textformat(plist,5);
+    tmp1=substring(tmp,1,length(tmp)-1);
+    tmp=name+"=Anglemark("+tmp1+opstr+")";
+    GLIST=append(GLIST,tmp);
+  );
+  if(Noflg<2,
+    if(isstring(Ltype),
+      Ltype=GetLinestyle(text(Noflg)+Ltype,name);
+    ,
+      if(Noflg==1,Ltype=0);
+    );
+    GCLIST=append(GCLIST,[name,Ltype,opcindy]);
+  );
+  Out;
+);
+
+Paramark(plist):=Paramark(plist,[]);
+Paramark(plist,options):=(
+//help:Paramark([A,B,C],["E=\theta"]);
+  regional(name,Out,pB,pA,pC,ra,sab,sac,ratio,opstr,Bname,Bpos,
+         Brat,tmp,tmp1,tmp2,Ltype,Noflg,eqL,realL,opcindy);
+  tmp=textformat(plist,5);
+  tmp=replace(tmp,",","");
+  tmp=substring(tmp,1,length(tmp)-1);
+  name="pm"+tmp;
+  tmp=Divoptions(options);
+  Ltype=tmp_1;
+  Noflg=tmp_2;
+  opstr=tmp_(length(tmp)-1);
+  opcindy=tmp_(length(tmp));
+  eqL=tmp_5;
+  realL=tmp_6;
+  ra=0.5;
+  Bname="";
+  Brat=1.2;
+  if(length(realL)>0,
+    tmp=realL_1;
+    ra=tmp*ra;
+    opstr=opstr+","+text(tmp);
+  );
+  forall(eqL,
+    if(substring(#,0,1)=="L",Bname="Letter(");
+    if(substring(#,0,1)=="E",Bname="Expr(");
+    Bpos="md"+name;
+    Bname=Bname+Dq+Bpos+Dq+","+Dq+"c"+Dq+","+Dq;
+    tmp=substring(#,indexof(#,"="),length(#));
+    tmp1=indexof(tmp,",");
+    Bname=Bname+substring(tmp,tmp1,length(tmp))+Dq+")";
+    if(tmp1>0,
+      Brat=parse(substring(tmp,0,tmp1-1));
+    );
+  );
+  pB=Lcrd(plist_1); pA=Lcrd(plist_2); pC=Lcrd(plist_3);
+  Ctr=Lcrd(pA);
+  Out=[];
+  Out=append(Out,pA+ra*(pB-pA)/|pB-pA|);
+  Out=append(Out,pA+ra*(pB-pA)/|pB-pA|+ra*(pC-pA)/|pC-pA|);
+  Out=append(Out,pA+ra*(pC-pA)/|pC-pA|);
+  if(length(Bname)>0,
+    tmp1=pA+Brat*ra*(pB-pA)/|pB-pA|+Brat*ra*(pC-pA)/|pC-pA|;
+    tmp="Defvar("+Dq+Bpos+"="+textformat(tmp1,5)+Dq+");";
+    parse(tmp);
+	parse(Bname);
+  );
+  if(Noflg<3,
+    println("generate paramark "+name);
+    tmp1=apply(Out,Pcrd(#));
+    tmp=name+"="+textformat(tmp1,5);
+    parse(tmp);
+    tmp1=substring(textformat(plist,5),1,length(textformat(plist,5))-1);
+    tmp=name+"=Paramark("+tmp1+opstr+")";
+    GLIST=append(GLIST,tmp);
+  );
+  if(Noflg<2,
+    if(isstring(Ltype),
+      Ltype=GetLinestyle(text(Noflg)+Ltype,name);
+    ,
+      if(Noflg==1,Ltype=0);
+    );
+    GCLIST=append(GCLIST,[name,Ltype,opcindy]);
+  );
+  Out;
+);
+
+MakeBowdata(pA,pB,Hgt):=(
+  regional(angle,pB2,pH2,pC2,pC,tmp,Th1,Th2,ra,dMA);
+  angle=arctan2(pB-pA)+0;
+  pB2=Rotatepoint(pB,-angle,pA);
+  tmp=Lcrd(pA);
+  pH2=[(tmp_1+pB2_1)/2,tmp_2-Hgt];
+  dMA=|tmp-pB2|/2;
+  ra=(dMA^2+Hgt^2)/(2*Hgt);
+  pC2=[pH2_1,pB2_2+(ra-Hgt)];
+  pC=Rotatepoint(pC2,angle,pA);
+  Th1=arctan2(pA-pC2)+angle;
+  Th2=arctan2(pB2-pC2)+angle;
+  [pC,ra,Th1,Th2];
+);
+
+Bowdata(nm,plist,options):=(
+//help:Bowdata([C,A],[2,1.2,"Expr=10","da"]);
+//help:Bowdata([A,B],["Expr=t0n3,a"]);
+//help:Bowdata([A,B],["Exprrot=t0n2r,a"]);
+  regional(name,Out,pB,pA,pC,ra,tmp,tmp1,tmp2,Ltype,eqL,realL,
+    Bname,Bpos,Th,Cut,Num,Hgt,opstr,opcindy,Ydata,pC,
+    Th1,Th2,Noflg,Bops,Bmov,Tmov,Nmov,rev);
+  name="bw"+nm;
+  tmp=Divoptions(options);
+  Ltype=tmp_1;
+  Noflg=tmp_2;
+  opstr=tmp_(length(tmp)-1);
+  opcindy=tmp_(length(tmp));
+  eqL=tmp_5;
+  realL=tmp_6;
+  pA=Lcrd(plist_1); pB=Lcrd(plist_2);
+  Hgt=1/2*|pB-pA|*0.2;
+  Cut=0;
+  Num=24;
+  Bname="";
+  Tmov=0;//16.11.01from
+  Nmov=0;
+  Bmov="";
+  rev=0;//16.11.01upto
+  if(length(realL)>0,
+    Hgt=realL_1*Hgt; // 15.04.12
+    if(length(realL)>1,Cut=realL_2);
+  );
+  forall(eqL,
+    tmp=substring(#,0,1);
+    if(tmp=="L" % tmp=="l",
+      if(indexof(#,"rot")>0,
+        Bname="Letterrot(";
+      ,
+        Bname="Letter(";
+      );
+    );
+    if(tmp=="E" % tmp=="e",
+      if(indexof(#,"rot")>0,
+        Bname="Exprrot(";
+      ,
+        Bname="Expr(";
+      );
+    );
+    tmp=indexof(#,"=");
+    Bops=substring(#,tmp,length(#)); // 16.11.01
+  );
+  Ydata=MakeBowdata(pA,pB,Hgt); 
+  pC=Ydata_1;
+  ra=Ydata_2;
+  Th=(Ydata_3+Ydata_4)*0.5;
+  BOWMIDDLE=[pC_1+ra*cos(Th),pC_2+ra*sin(Th)];
+  Bpos="md"+name; // 16.10.31from(moved)
+  tmp="Defvar("+Dq+Bpos+"="+textformat(BOWMIDDLE,5)+Dq+");";
+  parse(tmp);// 16.10.31upto(moved)
+  if(length(Bname)>0,  //16.11.01from
+    tmp=indexof(Bops,",");
+    if(tmp>0,
+      tmp1=substring(Bops,0,tmp-1);
+      if(length(tmp1)>=4 & substring(tmp1,0,1)=="t" & indexof(tmp1,"n")>0,
+        Bmov=tmp1;
+        Bops=substring(Bops,tmp,length(Bops));
+      );
+    );
+    if(length(Bmov)>0,
+      tmp=indexof(Bmov,"t");
+      if(tmp>0,
+        tmp1=indexof(Bmov,"n");
+        Tmov=parse(substring(Bmov,tmp,tmp1-1));
+        tmp=indexof(Bmov,"r");
+        if(tmp>0,
+          Nmov=parse(substring(Bmov,tmp1,tmp-1));
+          rev=1;
+        ,
+          Nmov=parse(substring(Bmov,tmp1,length(Bmov)));
+        );
+      );
+    );
+    Bname=Bname+Bpos;//16.11.01
+    if(abs(Tmov)+abs(Nmov)>0,
+      tmp=Pcrd(pA)-Pcrd(pB);
+      tmp1=1/norm(tmp)*tmp;
+      tmp2=[-tmp1_2,tmp1_1];
+      tmp=MARKLEN*(Tmov*tmp1+Nmov*tmp2);
+      tmp=LLcrd(tmp);
+      Bname=Bname+"+"+text(tmp);
+    );
+    Bname=Bname+",";
+    if(indexof(Bname,"rot")>0,
+      if(rev==1,tmp=pB-pA,tmp=pA-pB);
+      Bname=Bname+textformat(tmp,5)+",";
+    ,
+      Bname=Bname+Dq+"c"+Dq+",";
+    );
+    Bname=Bname+Dq+Bops+Dq+")";
+    parse(Bname);
+  );//16.11.01upto
+  if(Cut==0,
+    Th1=Ydata_3;
+    Th2=Ydata_4;
+    Out=[];
+    forall(0..Num,
+      tmp=Th1+#*(Th2-Th1)/Num;
+      Out=append(Out,pC+ra*[cos(tmp),sin(tmp)]);
+    );
+  ,
+    Th1=Ydata_3;
+    Th2=Th-Cut/(2*ra);
+    tmp1=[];
+    forall(0..Num/2,
+      tmp=Th1+#*(Th2-Th1)/(Num/2);
+      tmp1=append(tmp1,pC+ra*[cos(tmp),sin(tmp)]);
+    );
+    Th1=Th+Cut/(2*ra);
+    Th2=Ydata_4;
+    tmp2=[];
+    forall(0..Num/2,
+      tmp=Th1+#*(Th2-Th1)/(Num/2);
+      tmp2=append(tmp2,pC+ra*[cos(tmp),sin(tmp)]);
+    );
+    Out=[tmp1,tmp2];
+  );
+  if(Noflg<3,
+    println("generate bowdata "+name+" and "+Bpos);//16.10.31
+    if(MeasureDepth(Out)==1,Out=[Out]);
+	tmp1=[];
+    forall(Out,tmp2,
+      tmp=apply(tmp2,Pcrd(#));
+      tmp1=append(tmp1,tmp);
+    );
+    tmp=name+"="+textformat(tmp1,5);
+    parse(tmp);
+    tmp1=substring(textformat(plist,5),1,length(textformat(plist,5))-1);
+    tmp=name+"=Bowdata("+tmp1+opstr+")";
+    GLIST=append(GLIST,tmp);
+  );
+  if(Noflg<2,
+    if(isstring(Ltype),
+      Ltype=GetLinestyle(text(Noflg)+Ltype,name);
+    ,
+      if(Noflg==1,Ltype=0);
+    );
+    GCLIST=append(GCLIST,[name,Ltype,opcindy]);
+  );
+);
+
+Deqplot(nm,deq,rng,initf):=Deqplot(nm,deq,rng,Lcrd(initf)_1,initf,[]);
+Deqplot(nm,deq,rng,Arg1,Arg2):=(
+  regional(initt,initf,options);
+  if(isreal(Arg1) & length(Arg1)==1,
+    initt=Arg1;
+    initf=Arg2;
+    options=[];
+  ,
+    initf=Lcrd(Arg1);
+    initt=initf_1;
+    options=Arg2;
+  );
+  Deqplot(nm,deq,rng,initt,initf,options);
+);
+Deqplot(nm,deq,rng,initt,initf,options):=(
+  regional(name,Noflg,Ltype,eqL,opstr,opcindy,pdL,var2,deq2,rng2,initt2,initf2,
+      tmp,tmp1,tmp2,tmp3,tmp4);
+  tmp=tokenize(deq,"=");
+  tmp1=tmp_1;
+  tmp2=tmp_2;
+  tmp3=tokenize(tmp1,"`");
+  if(length(tmp3)==2,
+    if(indexof(tmp1,"[")>0,
+      Deqplot(nm,deq,rng,initt,initf,options,[2,3]);
+    ,
+      if(indexof(rng,"=")>0,rng2=rng,rng2=rng+"=[XMIN,XMAX]");
+      tmp=tokenize(rng2,"=");
+      deq2="["+tmp_1+","+replace(tmp1,"`","]")+"`=[1,"+tmp2+"]";
+      rng2="t="+tmp_2;
+      if(isreal(initf) & length(initf)==1,
+        initf2=[initt,initf];
+        initt2=initt;
+     ,
+       initf2=Lcrd(initf));
+       initt2=initf2_1;
+       Deqplot(nm,deq2,rng2,initt2,initf2,options,[2,3]);
+    );
+  ,
+    name="de"+nm;
+    tmp=Divoptions(options);
+    Ltype=tmp_1;
+    Noflg=tmp_2;
+    eqL=tmp_5;
+    opcindy=tmp_9;
+    opstr="";
+    forall(eqL,
+      if(Toupper(substring(#,0,1))=="N",
+        tmp=indexof(#,"=");
+        tmp1="N="+substring(#,tmp,length(#));
+        opstr=opstr+",'"+tmp1+"'";
+      );        
+    );
+	if(Noflg<1,
+      if(indexof(rng,"=")>0,rng2=rng,rng2=rng+"=[XMIN,XMAX]");
+      var2="d"+tmp3_1;
+      deq2="["+tmp3_1+","+var2+"]`=[";
+      tmp=replace(tmp2,tmp3_1+"`",var2);
+      deq2=deq2+var2+","+tmp+"]";
+      Deqplot(nm,deq2,rng2,initt,initf,append(options,"nodisp"),[1,2]);
+      parse(tmp);
+      tmp=name+"=Deqplot(Assign("+Dq+deq+Dq+"),'"+rng+"',";
+      tmp=tmp+initt+","+initf+opstr+")";
+      GLIST=append(GLIST,tmp);
+    );
+    if(Noflg<2,
+      if(isstring(Ltype),
+        Ltype=GetLinestyle(text(Noflg)+Ltype,name);
+      ,
+        if(Noflg==1,Ltype=0);
+      );
+      GCLIST=append(GCLIST,[name,Ltype,opcindy]);
+      parse("de"+nm);
+    );
+  );
+);
+Deqplot(nm,deq,rng,initt,initf,options,Sel):=(
+//help:Deqplot("2","y`=y*(1-y)","x",0, 0.5,["Num=100"]);
+//help:Deqplot("1","y``=-y","x",0, [1,0]);
+//help:Deqplot("3","[x,y]`=[x*(1-y),0.3*y*(x-1)]","t=[0,20]",[1,0.5]);
+  regional(Ltype,Noflg,Inflg,Outflg,strL,opstr,opcindy,Num,
+      outstr,name,func,xf,yf,pdL,Eps,Inf,t1,t2,tt,Vname,dt,funP,funN,flg,
+      kl1,kl2,kl3,kl4,x0,y0,x1,y1,tmp,tmp1,tmp2);
+  name="de"+nm;
+  tmp=Divoptions(options);
+  Ltype=tmp_1;
+  Noflg=tmp_2;
+  Inflg=tmp_3;
+  Outflg=tmp_4;
+  eqL=tmp_5;
+  strL=tmp_7;
+//  opstr=tmp_(length(tmp)-1);
+  opstr="";
+  opcindy=tmp_(length(tmp));
+  outstr="";
+  forall(strL,
+    tmp=Toupper(substring(#,0,1));
+    if(tmp=="S",
+      outstr="Sci";
+    );
+  );
+  Num=50;
+  forall(eqL,
+    tmp=indexof(#,"=");
+    tmp2=substring(#,0,1);
+    tmp2=Toupper(tmp2);
+    tmp1=substring(#,tmp,length(#));
+    opstr=opstr+",'"+tmp2+"="+tmp1+"'";
+    if(Toupper(substring(#,0,1))=="N",
+      Num=parse(tmp1);
+    );
+  );
+  if(outstr=="Sci",
+    if(Inflg==0 & Outflg==0,Outflg=1;Inflg=1);
+  );
+  if(Noflg<3,
+    if(outstr=="Sci",
+      if(Outflg==1,
+        println("Output Deqplot "+name);
+        SCIWRLIST=append(SCIWRLIST,name);
+      );
+      if(Inflg==1,
+        println("Input Deqplot "+name);
+        if(length(SCIRELIST)==0,
+          ReadOutData(Fnameout);
+        );
+        tmp=parse(name);
+        if(islist(tmp),
+          Extractdata(name,["nodisp"]);  // 12.19
+        );
+        SCIRELIST=append(SCIRELIST,name);
+      );
+    ,
+	  Eps=10^(-3);
+      Inf=10^3;
+      tmp=tokenize(deq,"=");
+      tmp1=tmp_1;
+      func=tmp_2;
+      tmp=indexof(tmp1,",");
+      xf=substring(tmp1,1,tmp-1);
+      yf=substring(tmp1,tmp,length(tmp1));
+      tmp=indexof(yf,"]");
+      yf=substring(yf,0,tmp-1);
+      tmp=tokenize(rng,"=");
+      Vname=tmp_1;
+      tmp=parse(tmp_2);
+      t1=tmp_1;
+      t2=tmp_2;
+      tmp="funP("+Vname+","+xf+","+yf+"):="+func+";";
+      parse(tmp);
+      tmp=tokenize(func,",");
+      tmp1="-("+substring(tmp_1,1,length(tmp_1))+")";
+      tmp2="-("+substring(tmp_2,0,length(tmp_2)-1)+")";
+      tmp="funN("+Vname+","+xf+","+yf+"):=["+tmp1+","+tmp2+"];";
+      parse(tmp);
+      dt=(t2-t1)/Num;
+      tt=initt;
+      tmp=Lcrd(initf);
+      x0=tmp_1;
+      y0=tmp_2;
+      pdL=[[tt,x0,y0]];
+      flg=0;
+      forall(1..floor((t2-initt)/dt),
+        if(flg==0,
+          kl1=dt*funP(tt,x0,y0);
+          kl2=dt*funP(tt+dt/2,x0+kl1_1/2,y0+kl1_2/2);
+          kl3=dt*funP(tt+dt/2,x0+kl2_1/2,y0+kl2_2/2);
+          kl4=dt*funP(tt+dt,x0+kl3_1,y0+kl3_2);//16.10.14
+          tmp1=[x0,y0]+(kl1+2*kl2+2*kl3+kl4)/6;
+          x0=tmp1_1;
+          y0=tmp1_2;
+          tt=initt+#*dt;
+          pdL=append(pdL,[tt,x0,y0]);
+          if(|tmp1|>Inf,flg=1);
+        );
+      );
+      tt=initt;
+      tmp=Lcrd(initf);
+      x0=tmp_1;
+      y0=tmp_2;
+      flg=0;
+      forall(1..floor((initt-t1)/dt),
+        if(flg==0,
+          kl1=dt*funN(tt,x0,y0);
+          kl2=dt*funN(tt+dt/2,x0+kl1_1/2,y0+kl1_2/2);
+          kl3=dt*funN(tt+dt/2,x0+kl2_1/2,y0+kl2_2/2);
+          kl4=dt*funN(tt+dt/2,x0+kl3_1/2,y0+kl3_2/2);
+          tmp1=[x0,y0]+(kl1+2*kl2+2*kl3+kl4)/6;
+          x0=tmp1_1;
+          y0=tmp1_2;
+          tt=initt-#*dt;
+          pdL=prepend([tt,x0,y0],pdL);
+          if(|tmp1|>Inf,flg=1);
+        );
+      );
+      println("Generate Deqplot "+name);
+      pdL=apply(pdL,#_Sel);
+      tmp1=apply(pdL,Pcrd(#));
+      tmp=name+"="+textformat(tmp1,5);
+      parse(tmp);
+    );
+    if(Noflg<1,
+      tmp=name+"=Deqplot(Assign("+Dq+deq+Dq+"),'"+rng+"',";
+      tmp=tmp+initt+","+initf+opstr+")";
+      GLIST=append(GLIST,tmp);
+    );
+  );
+  if(Noflg<2,
+    if(isstring(Ltype),
+      Ltype=GetLinestyle(text(Noflg)+Ltype,name);
+    ,
+      if(Noflg==1,Ltype=0);
+    );
+    if(outstr=="Sci",
+      if(Inflg==1,
+        GCLIST=append(GCLIST,[name,Ltype,opcindy]);
+      );
+    ,
+      GCLIST=append(GCLIST,[name,Ltype,opcindy]);
+      pdL;
+    );
+  );
+);
+
+Enclosing(nm,plist):=EnclosingS(nm,plist);
+Enclosing(nm,plist,options):=EnclosingS(nm,plist,options);
+EnclosingS(nm,plist):=EnclosingS(nm,plist,[]);
+EnclosingS(nm,plist,options):=(
+//help:Enclosing("1",["sc2","crAB","sc2","Invert(sc1)"],[pt,"dr"]);
+  regional(name,AnsL,Start,Eps,EEps,S,Flg,Fdata,Gdata,KL,pt,qt,
+      t1,t2,t3,ii,nn,tmp,tmp1,tmp2,Ltype,Noflg,realL,eqL,opstr,opcindy);
+  name="en"+nm;
+  tmp=Divoptions(options);
+  Ltype=tmp_1;
+  Noflg=tmp_2;
+  eqL=tmp_5;
+  realL=tmp_6;
+  opstr=tmp_(length(tmp)-1);
+  opcindy=tmp_(length(tmp));
+  Eps=10^(-3);
+  EEps=0.1;
+  Start=[];
+  Flg=0;
+  forall(realL,
+    if(isList(#) % ispoint(#),
+      Start=Lcrd(#); // 15.09.12
+    ,
+      Flg=Flg+1;
+      if(Flg==1,Eps=#);
+      if(Flg==2,EEps=#);
+    );
+  );
+//  tmp1=concat([Eps,EEps],eqL); // 15.04.06
+  Fdata=plist_1;
+  Gdata=plist_(length(plist));
+  KL=IntersectcrvsPp(Fdata,Gdata);
+  if(length(KL)==1,
+    pt=KL_1_1;
+    t1=KL_1_2;
+  );
+  if(length(KL)==0,
+    if(Numptcrv(Fdata)>Numptcrv(Gdata),
+      tmp=Nearestpt(Fdata,Gdata);
+      pt=tmp_1;
+      t1=tmp_2;
+    ,
+      tmp=Nearestpt(Gdata,Fdata);
+      pt=tmp_3;
+      t1=tmp_4;
+    );
+  );
+  if(length(KL)>1,
+    if(Start==[],
+      err("No Start Point");
+    ,
+      pt=KL_1_1;
+      t1=KL_1_2;
+      tmp=|pt-Start|;
+      forall(2..length(KL),ii, // 15.04.20
+        tmp1=KL_ii_1;
+        tmp2=|tmp1-Start|; // 15.04.20
+        if(tmp2<tmp,
+          pt=tmp1;
+          t1=KL_ii_2;
+          tmp=tmp2;
+        );
+      );
+    );
+  );
+//  pt=Pcrd(pt);  // 15.09.12
+  Start=pt;
+  AnsL=[];
+  forall(1..length(plist),nn,
+    Fdata=plist_nn;
+    if(nn>1, pt=qt); 
+    if(nn==length(plist),
+      qt=Start;
+    ,
+      Flg=0;
+      Gdata=plist_(nn+1);
+//      tmp1=concat([Eps,EEps],eqL); // 15.04.06
+      KL=IntersectcrvsPp(Gdata,Fdata);
+      if(length(KL)==1,
+        tmp=KL_1;
+        qt=KL_1_1;
+        t3=KL_1_2;
+        Flg=10;
+      );
+      if(length(KL)==0,Flg=1);
+      if(length(KL)>1, 
+        tmp1=KL_1_1;
+        tmp2=KL_2_1;
+        tmp=|tmp1-tmp2|;
+        if(tmp<Eps*10, Flg=1); 
+      );
+      if(Flg==1,
+        if(Numptcrv(Fdata)>Numptcrv(Gdata),
+          tmp=Nearestpt(Fdata,Gdata);
+          qt=tmp_1;
+          t3=tmp_4;
+          Flg=10;
+        ,
+          tmp=Nearestpt(Gdata,Fdata);
+          qt=tmp_3;
+          t3=tmp_2;
+          Flg=10;
+        );
+      );
+      if(Flg<10,
+        t2=10^6; //%inf;
+        forall(1..length(KL),ii,
+          tmp1=KL_ii_1;
+          tmp=KL_ii_3;
+          tmp2=ParamonCurve(tmp1,tmp,Fdata);
+          tmp3=KL_ii_2;
+          if(tmp2>t1+Eps & tmp2<t2+Eps,
+            qt=tmp1;
+            t2=tmp2;
+            t3=tmp3;
+          );
+        );
+      );
+    );
+    tmp=Partcrv("",pt,qt,Fdata,["nodata"]);
+    t1=t3;
+    if(nn==1,
+      AnsL=tmp;
+    ,
+      AnsL=concat(AnsL,tmp_(2..length(tmp)));
+    );
+  );
+  AnsL=apply(AnsL,Pcrd(#));  // 15.09.12
+  AnsL_(length(AnsL))=AnsL_1;//16.10.20
+  if(Noflg<3,
+    println("generate Enclosing "+name);
+    tmp=name+"="+textformat(AnsL,5);
+    parse(tmp);
+//    tmp=name+"=Enclosing(";//16.10.20from
+//    tmp1="list(";
+//    forall(plist,
+//      tmp1=tmp1+#+",";
+//    );
+//    tmp=tmp+substring(tmp1,0,length(tmp1)-1)+")"+opstr+")";
+    tmp=apply(AnsL,LLcrd(#));
+    tmp=name+"=Listplot("+textformat(tmp,5)+")";//16.10.20upto
+    GLIST=append(GLIST,tmp);
+  );
+  if(Noflg<2,
+    if(isstring(Ltype),
+      Ltype=GetLinestyle(text(Noflg)+Ltype,name);
+    ,
+      if(Noflg==1,Ltype=0);
+    );
+    GCLIST=append(GCLIST,[name,Ltype,opcindy]);
+  );
+  tmp=apply(AnsL,LLcrd(#));//16.10.20
+  tmp;
+);
+
+Shade(plist):=Shade(plist,[]);
+Shade(plist,options):=(
+//help:Shade(["gr2","sg1"],[0.5]);
+//help:Shade([pointlist],[0.5]);
+  regional(tmp,tmp1,tmp2,opstr,opcindy,Str,G2,flg);
+  if(isstring(plist_1), // 16.01.24
+    println("output Shade of "+plist);
+  ,
+    println("output Shade of lists");
+  );
+  tmp=Divoptions(options);
+  opstr=tmp_(length(tmp)-1);
+  opcindy=tmp_(length(tmp));
+  flg=0;
+  forall(plist,
+    if(flg==0,
+      if(isstring(#),tmp=parse(#),tmp=#); // from 16.01.24
+      if(!islist(tmp),flg=1);  upto
+    );
+  );
+  if(flg==1,
+//    err("some data not defined yet");
+  ,
+    G2=Joincrvs("1",plist,["nodata"]);
+    G2=apply(G2,Pcrd(#));
+    tmp1="fillpoly("+textformat(G2,5)+opcindy+");";
+    parse(tmp1);
+  );
+  Str="Shade(";
+  tmp1="list(";
+  forall(plist,
+    if(isstring(#),  // from 16.01.24
+      if(length(#)>1,
+        tmp1=tmp1+#+",";
+      ,
+        tmp1=tmp1+Dq+#+Dq+",";
+      );
+    ,
+       tmp1=tmp1+"Listplot("+textformat(#,5)+"),";
+    ); // upto 16.01.24
+  );
+  Str=Str+substring(tmp1,0,length(tmp1)-1)+")"+opstr+")";
+  Com2nd(Str);
+);
+
+
+//help:start();
+
+Rotatepoint(point,Theta,ctr):=(
+//help:Rotatepoint(A,2*pi/3,B);
+  regional(X1,X2,Y1,Y2,Cx,Cy,tmp);
+  tmp=Lcrd(point);
+  X1=tmp_1; Y1=tmp_2;
+  tmp=Lcrd(ctr);
+  Cx=tmp_1; Cy=tmp_2;
+  X2=Cx+(X1-Cx)*cos(Theta)-(Y1-Cy)*sin(Theta);
+  Y2=Cy+(X1-Cx)*sin(Theta)+(Y1-Cy)*cos(Theta); 
+  [X2,Y2];
+);
+
+Translatepoint(point,mov):=(
+//help:Translatepoint(A,[2,3]);
+  regional(X1,X2,Y1,Y2,Cx,Cy,tmp);
+  tmp=Lcrd(point);
+  X1=tmp_1; Y1=tmp_2;
+  tmp=Lcrd(mov);
+  Cx=tmp_1; Cy=tmp_2;
+  X2=X1+Cx;
+  Y2=Y1+Cy; 
+  [X2,Y2];
+);
+
+Scalepoint(point,ratio,center):=(
+//help:Scalepoint(A,[3,2],[0,0]);
+  regional(X1,X2,Y1,Y2,Cx,Cy,tmp);
+  tmp=Lcrd(point);
+  X1=tmp_1; Y1=tmp_2;
+  tmp=Lcrd(center);
+  Cx=tmp_1; Cy=tmp_2;
+  X2=Cx+ratio_1*(X1-Cx);
+  Y2=Cy+ratio_2*(Y1-Cy);
+  [X2,Y2];
+);
+
+Reflectpoint(point,symL):=(
+//help:Reflectpoint(A,B);
+//help:Reflectpoint(A,[[2,3]]);
+//help:Reflectpoint(A,[C,E]);\\
+  regional(X1,X2,Y1,Y2,Us,Vs,Pt1,Pt2,Cx,Cy,tmp);
+  tmp=Lcrd(point);
+  X1=tmp_1; Y1=tmp_2;
+  Pt1=Lcrd(symL_1);
+  if(length(symL)==1,
+    Pt2=Pt1;
+  ,
+    Pt2=Lcrd(symL_2);
+  );
+  Us=Pt2_1-Pt1_1;
+  Vs=Pt2_2-Pt1_2;
+  if(Pt1==Pt2,
+    X2=2*Pt1_1-X1;
+    Y2=2*Pt1_2-Y1;
+  ,
+    X2=(Us^2-Vs^2)/(Us^2+Vs^2)*X1+2*Us*Vs/(Us^2+Vs^2)*Y1
+              -2*Vs*(Us*Pt1_2-Vs*Pt1_1)/(Us^2+Vs^2);
+    Y2=2*Us*Vs/(Us^2+Vs^2)*X1-(Us^2-Vs^2)/(Us^2+Vs^2)*Y1
+              +2*Us*(Us*Pt1_2-Vs*Pt1_1)/(Us^2+Vs^2);
+  );
+  [X2,Y2];
+);
+
+Rotatedata(nm,plist,Theta):=Rotatedata(nm,plist,Theta,[]);
+Rotatedata(nm,plist,angle,options):=(
+//help:Rotatedata("1","crAB",pi/3,[[1,5],"dr,2"]);
+  regional(tmp,tmp1,tmp2,pdata,Theta,Pt,Cx,Cy,PdLL,PdL,
+    opcindy,Nj,Njj,Kj,Mj,X1,Y1,X2,Y2,Ltype,Noflg,name);
+  name="rt"+nm;
+  Pt=[0,0];
+  tmp=Divoptions(options);
+  Ltype=tmp_1;
+  Noflg=tmp_2;
+  opcindy=tmp_(length(tmp));
+  tmp1=tmp_6;
+  if(length(tmp1)>0,Pt=Lcrd(tmp1_1));
+  pdata=plist;
+  if(isstring(pdata),pdata=[pdata]);
+  if(!isstring(pdata_1) & MeasureDepth(pdata)==1,
+      pdata=[pdata];
+  );
+  if(isstring(angle),Theta=parse(angle),Theta=angle);
+  Cx=Pt_1; Cy=Pt_2;
+  PdL=[];
+  forall(pdata,Njj,
+    if(isstring(Njj),Kj=parse(Njj),Kj=Njj);
+    if(MeasureDepth(Kj)==1,Kj=[Kj]);
+    tmp2=[];
+    forall(Kj,Nj,
+      tmp1=[];
+      forall(Nj,
+        tmp=LLcrd(#);
+        X1=tmp_1;         
+        Y1=tmp_2;    
+        X2=Cx+(X1-Cx)*cos(Theta)-(Y1-Cy)*sin(Theta);
+        Y2=Cy+(X1-Cx)*sin(Theta)+(Y1-Cy)*cos(Theta); 
+        tmp1=concat(tmp1,[[X2,Y2]]);
+      );
+      tmp2=concat(tmp2,[tmp1]);
+    );
+    PdL=concat(PdL,tmp2);
+  );
+  if(Noflg<3,
+    println("generate Rotatedata "+name);
+    tmp1=[];
+    forall(PdL,tmp2,
+      tmp=apply(tmp2,Pcrd(#));
+      tmp1=append(tmp1,tmp);
+    );
+    if(length(tmp1)==1,tmp1=tmp1_1);
+    tmp=name+"="+textformat(tmp1,5);
+    parse(tmp);
+//    tmp1=textformat(plist,5);
+    tmp1=text(plist); // 15.10.15
+    tmp1=replace(tmp1,"[","list(");
+    tmp1=replace(tmp1,"]",")");
+    tmp=name+"=Rotatedata("+tmp1+","
+	  +textformat(angle,5)+","+textformat(Pt,5)+")";
+    GLIST=append(GLIST,tmp);
+  );
+  if(Noflg<2,
+    if(isstring(Ltype),
+      Ltype=GetLinestyle(text(Noflg)+Ltype,name);
+    ,
+      if(Noflg==1,Ltype=0);
+    );
+    GCLIST=append(GCLIST,[name,Ltype,opcindy]);
+  );
+  PdL;
+);
+
+translatedata(nm,plist,mov):=translatedata(nm,plist,mov,[]);
+translatedata(nm,plist,mov,options):=(
+//help:translatedata("1",["gr1"],[1,2]);
+  regional(tmp,tmp1,tmp2,pdata,Cx,Cy,PdL,Nj,Njj,Kj,
+           opcindy,X2,Y2,Ltype,Noflg,name);
+  name="tr"+nm;
+  tmp=Divoptions(options);
+  Ltype=tmp_1;
+  Noflg=tmp_2;
+  opcindy=tmp_(length(tmp));
+  pdata=plist;
+  if(isstring(pdata),pdata=[pdata]);
+  if(!isstring(pdata_1) & MeasureDepth(pdata)==1,
+      pdata=[pdata];
+  );
+  tmp=Lcrd(mov);
+  Cx=tmp_1; Cy=tmp_2;
+  PdL=[];
+  forall(pdata,Njj,
+    if(isstring(Njj),Kj=parse(Njj),Kj=Njj);
+    if(MeasureDepth(Kj)==1,Kj=[Kj]);
+    tmp2=[];
+    forall(Kj,Nj,
+      tmp1=[];
+      forall(Nj,
+        tmp=LLcrd(#);
+        X2=tmp_1+Cx;         
+        Y2=tmp_2+Cy;    
+        tmp1=concat(tmp1,[[X2,Y2]]);
+      );
+      tmp2=concat(tmp2,[tmp1]);
+    );
+    PdL=concat(PdL,tmp2);
+  );
+  if(Noflg<3,
+    println("generate translatedata "+name);
+    tmp1=[];
+    forall(PdL,tmp2,
+      tmp=apply(tmp2,Pcrd(#));
+      tmp1=append(tmp1,tmp);
+    );
+    if(length(tmp1)==1,tmp1=tmp1_1);
+    tmp=name+"="+textformat(tmp1,5);
+    parse(tmp);
+//    tmp1=textformat(plist,5);
+    tmp1=text(plist); // 15.10.15
+    tmp1=replace(tmp1,"[","list(");
+    tmp1=replace(tmp1,"]",")");
+    tmp=name+"=translatedata("+tmp1+","+textformat(mov,5)+")";
+    GLIST=append(GLIST,tmp);
+  );
+  if(Noflg<2,
+    if(isstring(Ltype),
+      Ltype=GetLinestyle(text(Noflg)+Ltype,name);
+    ,
+      if(Noflg==1,Ltype=0);
+    );
+    GCLIST=append(GCLIST,[name,Ltype,opcindy]);
+  );
+  PdL;
+);
+
+Scaledata(nm,plist,ratioV):=(
+  regional(tmp);
+  tmp=Lcrd(ratioV);
+  Scaledata(nm,plist,tmp_1,tmp_2,[]);
+);
+Scaledata(nm,plist,Arg1,Arg2):=(
+//help:Scaledata("1","crAB",3,2,[[0,0]]);
+  regional(tmp,options);
+  if(islist(Arg2),
+    tmp=Lcrd(Arg1);
+	options=Arg2;
+    Scaledata(nm,plist,tmp_1,tmp_2,options);
+  ,
+    Scaledata(nm,plist,Arg1,Arg2,[]);
+  );
+);
+Scaledata(nm,plist,rx,ry,options):=(
+  regional(tmp,tmp1,tmp2,pdata,Theta,Pt,Cx,Cy,PdL,
+      opcindy,Nj,Njj,Kj,X2,Y2,Ltype,Noflg,name);
+  name="sc"+nm;
+  Pt=[0,0];
+  tmp=Divoptions(options);
+  Ltype=tmp_1;
+  Noflg=tmp_2;
+  opcindy=tmp_(length(tmp));
+  tmp1=tmp_6;
+  if(length(tmp1)>0,
+    Pt=Lcrd(tmp1_1);
+  );
+  pdata=plist;
+  if(isstring(pdata),pdata=[pdata]);
+  if(!isstring(pdata_1) & MeasureDepth(pdata)==1,
+      pdata=[pdata];
+  );
+  Cx=Pt_1; Cy=Pt_2;
+  PdL=[];
+  forall(pdata,Njj,
+    if(isstring(Njj),Kj=parse(Njj),Kj=Njj);
+    if(MeasureDepth(Kj)==1,Kj=[Kj]);
+    tmp2=[];
+    forall(Kj,Nj,
+      tmp1=[];
+      forall(Nj,
+        tmp=LLcrd(#);
+        X2=Cx+rx*(tmp_1-Cx);
+        Y2=Cy+ry*(tmp_2-Cy);
+        tmp1=concat(tmp1,[[X2,Y2]]);
+      );
+      tmp2=concat(tmp2,[tmp1]);
+    );
+    PdL=concat(PdL,tmp2);
+  );
+  if(Noflg<3,
+    println("generate Scaledata "+name);
+    tmp1=[];
+    forall(PdL,tmp2,
+      tmp=apply(tmp2,Pcrd(#));
+      tmp1=append(tmp1,tmp);
+    );
+    if(length(tmp1)==1,tmp1=tmp1_1);
+    tmp=name+"="+textformat(tmp1,5);
+    parse(tmp);
+    tmp1=text(plist);  // 15.10.15
+    tmp1=replace(tmp1,"[","list(");
+    tmp1=replace(tmp1,"]",")");
+    tmp=name+"=Scaledata("+tmp1+","
+	  +textformat(rx,5)+","+textformat(ry,5)+","+textformat(Pt,5)+")";
+    GLIST=append(GLIST,tmp);
+  );
+  if(Noflg<2,
+    if(isstring(Ltype),
+      Ltype=GetLinestyle(text(Noflg)+Ltype,name);
+    ,
+      if(Noflg==1,Ltype=0);
+    );
+    GCLIST=append(GCLIST,[name,Ltype,opcindy]);
+  );
+  PdL;
+);
+
+Reflectdata(nm,plist,symL):=Reflectdata(nm,plist,symL,[]);
+Reflectdata(nm,plist,symL,options):=(
+//help:Reflectdata("1","crAB",[C]);
+  regional(tmp,tmp1,tmp2,pdata,Us,Vs,Pt1,Pt2,Cx,Cy,PdL,
+      opcindy,Nj,Njj,Kj,X1,Y1,X2,Y2,Ltype,Noflg,name);
+  name="re"+nm;
+  Pt=[0,0];
+  tmp=Divoptions(options);
+  Ltype=tmp_1;
+  Noflg=tmp_2;
+  opcindy=tmp_(length(tmp));
+  pdata=plist;
+  if(isstring(pdata),pdata=[pdata]);
+  if(!isstring(pdata_1) & MeasureDepth(pdata)==1,
+      pdata=[pdata];
+  );
+  Pt1=Lcrd(symL_1);
+  if(length(symL)==1,
+    Pt2=Pt1;
+  ,
+    Pt2=Lcrd(symL_2);
+  );
+  Us=Pt2_1-Pt1_1;
+  Vs=Pt2_2-Pt1_2;
+  PdL=[];
+  forall(pdata,Njj,
+    if(isstring(Njj),Kj=parse(Njj),Kj=Njj);
+    if(MeasureDepth(Kj)==1,Kj=[Kj]);
+    tmp2=[];
+    forall(Kj,Nj,
+      tmp1=[];
+      forall(Nj,
+      tmp=LLcrd(#);
+        X1=tmp_1;         
+        Y1=tmp_2;    
+        if(Pt1==Pt2,
+          X2=2*Pt1_1-X1;
+          Y2=2*Pt1_2-Y1;
+        ,
+          X2=(Us^2-Vs^2)/(Us^2+Vs^2)*X1+2*Us*Vs/(Us^2+Vs^2)*Y1
+                -2*Vs*(Us*Pt1_2-Vs*Pt1_1)/(Us^2+Vs^2);
+          Y2=2*Us*Vs/(Us^2+Vs^2)*X1-(Us^2-Vs^2)/(Us^2+Vs^2)*Y1
+                +2*Us*(Us*Pt1_2-Vs*Pt1_1)/(Us^2+Vs^2);
+        );
+        tmp1=concat(tmp1,[[X2,Y2]]);
+      );
+      tmp2=concat(tmp2,[tmp1]);
+    );
+    PdL=concat(PdL,tmp2);
+  );
+  if(Noflg<3,
+    println("generate Reflectdata "+name);
+    tmp1=[];
+    forall(PdL,tmp2,
+      tmp=apply(tmp2,Pcrd(#));
+      tmp1=append(tmp1,tmp);
+    );
+    if(length(tmp1)==1,tmp1=tmp1_1);
+	tmp=name+"="+textformat(tmp1,5);
+    parse(tmp);
+//    tmp1=textformat(plist,5);
+    tmp1=text(plist); // 15.10.15
+    tmp1=replace(tmp1,"[","list(");
+    tmp1=replace(tmp1,"]",")");
+    tmp=name+"=Reflectdata("+tmp1+","+textformat(symL,5)+")";
+    GLIST=append(GLIST,tmp);
+  );
+  if(Noflg<2,
+    if(isstring(Ltype),
+      Ltype=GetLinestyle(text(Noflg)+Ltype,name);
+    ,
+      if(Noflg==1,Ltype=0);
+    );
+    GCLIST=append(GCLIST,[name,Ltype,opcindy]);
+  );
+  PdL;
+);
+
+Mksegments():=Mksegments([]);
+Mksegments(options):=(
+//help:Mksegments();
+  regional(segstr,p,q,r,tmp1,tmp2,tmp3);
+  forall(allsegments(),seg,
+    str=text(inspect(seg,"definition"));
+    tmp1=indexof(str,"(");
+    tmp2=indexof(str,";");
+    tmp3=indexof(str,")");
+    p=substring(str,tmp1,tmp2-1);
+    q=substring(str,tmp2,tmp3-1);
+    Listplot([parse(p),parse(q)]);
+  );
+);
+
+Mkcircles():=Mkcircles([]);
+Mkcircles(options):=(
+//help:Mkcircles():
+  regional(seg,cir,str,p,q,r,tmp1,tmp2,tmp3,tmp4);
+  forall(allcircles(),cir,
+    str=text(inspect(cir,"definition"));
+    tmp1=indexof(str,"(");
+    tmp2=indexof(str,";");
+    tmp3=indexof(str,")");
+    tmp4=indexof(str,";",tmp2+1);
+    if(tmp4==0,
+      p=substring(str,tmp1,tmp2-1);
+      q=substring(str,tmp2,tmp3-1);
+      Circledata([parse(p),parse(q)]);
+    ,
+      p=substring(str,tmp1,tmp2-1);
+      q=substring(str,tmp2,tmp4-1);
+      r=substring(str,tmp4,tmp3-1);
+      Circledata([parse(p),parse(q),parse(r)]);
+    );
+  );
+);
+
+Makesciarg(arglist):=(
+  regional(str,tmpstr);
+  str="";
+  forall(arglist,
+    if(isstring(#),
+      tmpstr=Dq+#+Dq;
+    ,
+      tmpstr=textformat(#,5);
+    );
+    str=str+tmpstr+",";
+  );
+  str=substring(str,0,length(str)-1);
+  str;
+);
+
+Setax(arglist):=(
+//help:Setax(["l","x","e","y","n","O","sw"]);
+//help:Setax([7,"nw"]);
+  regional(tmp);
+  tmp=Makesciarg(arglist);
+  Com1st("Setax("+tmp+")");
+);
+
+Htickmark(arglist):=(
+//help:Htickmark([1,"1",2,"sw","2"]);
+  regional(tmp);
+  tmp="";
+  tmp=Makesciarg(arglist);
+  Com2nd("Htickmark("+tmp+")");
+);
+
+Vtickmark(arglist):=(
+//help:Vtickmark([1,"1",2,"sw","2"]);
+  regional(tmp);
+  tmp=Makesciarg(arglist);
+  Com2nd("Vtickmark("+tmp+")");
+);
+
+Drwxy():=(
+//help:Drwxy();
+  Com2nd("Drwxy()");
+  Addax(0);  // 16.01.21
+);
+
+Drwpt(pstr):=Drawpoint(pstr);
+Drwpt(ptlist,nn):=(  // 16.03.05 from
+//help:Drwpt(A);
+//help:Drwpt("[1,1],0");
+//help:Drwpt(A,0);
+//help:Drwpt([1,2],0);
+  Drawpoint(ptlist,nn);
+);
+Drawpoint(pstr):=(
+  if(isstring(pstr),
+    println("Drwpt : "+pstr);
+    Com2nd("Drwpt("+pstr+")");
+  ,
+    Drawpoint(pstr,1);
+  );
+);
+Drawpoint(ptlistorg,nn):=(
+  regional(ptlist,thick,tmp,tmp1);
+  println("Drwpt : "+text(ptlistorg));
+  if(islist(ptlistorg),
+    if(MeasureDepth(ptlistorg)==1,
+      ptlist=ptlistorg
+    ,
+      ptlist=[ptlistorg]
+    );
+  ,
+    ptlist=[ptlistorg]
+  );
+  thick=PenThick/PenThickInit;// 16.04.09 from
+  tmp1=max(TenSize/TenSizeInit,1)/8; 
+  Setpen(tmp1); // 16.04.09 upto
+  forall(ptlist,
+    tmp=textformat(#,5)+","+text(nn);
+    Com2nd("Drwpt("+tmp+")"); // 16.04.09
+  );
+  Setpen(thick); // 16.04.09
+);// 16.03.05 upto
+
+Addax(param):=(
+//help:Addax(0);
+  ADDAXES=text(param);
+);
+
+Expr(Pt,Dr,St):=Expr([Pt,Dr,St]);
+Expr(list):=Expr(list,[]);
+Expr(listorg,options):=( //16.10.09
+//help:Expr([A,"e","f(x)=x^2"]);
+  regional(list,str,tmp,tmp1,tmp2);
+  list=listorg;
+  forall(1..round(length(list)/3),
+    str=list_(3*#);
+    if(!isstring(str),str=format(str,5));
+    str="$"+str+"$";
+    list_(3*#)=str;
+  );
+  Letter(list,options);
+);
+
+Letter(Pt,Dr,St):=Letter([Pt,Dr,St]);
+Letter(list):=Letter(list,[]);
+Letter(list,options):=(
+//help:Letter([C,"c","Graph of f(x)"]);
+  regional(Nj,Pos,Dir,Str,Off,Dmv,Xmv,Ymv,Noflg,opcindy,
+      opL,aln,sz,clr,bld,ita,tmp,tmp1,tmp2);
+  tmp=Divoptions(options);
+  Noflg=tmp_2;
+  opL=select(options,indexof(#,"->")>0); //16.10.09from
+  tmp=select(opL,indexof(#,"color"));
+  size=12;
+  clr=[0,0,0];
+  bld=false;
+  ita=false;
+  aln="left";
+  forall(opL,
+    tmp=indexof(#,"->");
+    tmp1=removespace(substring(#,0,tmp-1));
+    tmp2=substring(#,tmp+1,length(#));
+    if(tmp1=="size",sz=parse(tmp2));
+    if(tmp1=="color",clr=parse(tmp2));
+    if(tmp1=="bold",bld=parse(tmp2));
+    if(tmp1=="ita",ita=parse(tmp2));
+  );//16.10.09upto
+  Off=-4;
+  Dmv=8;
+  Nj=1;
+  while(Nj+2<=length(list),
+//    Pos=textformat(list_Nj,5);
+    Pos=list_Nj;
+    Dir=list_(Nj+1);
+    tmp=indexof(Dir,"s")+indexof(Dir,"n");//16.10.19from
+    if(tmp>0, 
+      tmp=indexof(Dir,"w")+indexof(Dir,"e");
+      if(tmp==0,
+        Dir="c"+Dir;//16.10.08
+      );
+    );//16.10.19upto
+    Str=list_(Nj+2);
+    if(!isstring(Str),Str=format(Str,5)); // 16.09.30,10.09
+    tmp=replace(Str,".xy","");
+    tmp=replace(tmp,".x","(1)");
+    Str=replace(tmp,".y","(2)");
+    if(indexof(Str,"`")>0,
+//      tmp=Dq+",Assign('"+Str+"','`',Prime()))";
+      tmp=Dq+",Assign('"+Str+"'))"; // 15.02.22
+    ,
+      tmp=Dq+","+Dq+Str+Dq+")";
+    );
+    if(Noflg==0,
+      Com2nd("Letter("+Lcrd(Pos)+","+Dq+Dir+tmp);//16.10.10
+    );
+    if(Noflg<2,
+      Xmv=0;//16.10.13
+      Ymv=-4;
+      if(indexof(Dir,"n")>0,
+        Ymv=Dmv/2;
+      );
+      if(indexof(Dir,"s")>0,
+        Ymv=-Dmv*3/2;//16.10.13
+      );
+      if(indexof(Dir,"e")>0,
+        Xmv=Dmv/2;
+        Off=0;
+        aln="left"; 
+      );
+      if(indexof(Dir,"w")>0, 
+        Xmv=-Dmv/2;
+        Off=0; // 16.09.30from
+        aln="right"; 
+      );
+      if(indexof(Dir,"c")>0,
+        Xmv=0;//16.10.13
+        Off=0;
+        if(Ymv==0,Ymv=-4);//16.10.08
+        aln="mid"; // 16.09.30upto
+      );
+      drawtext(Pcrd(Pos),Str,offset->[Off+Xmv,Off+Ymv],
+         size->sz,color->clr,align->aln,bold->bld,italics->ita);//16.10.09
+    );
+    Nj=Nj+3;
+  );
+);
+
+Letterrot(pt,dir,str):=Letterrot(pt,dir,0,0,str);
+Letterrot(pt,dir,movstr,str):=(
+//help:Letterrot(C,B-A,"AB"):
+//help:Letterrot(C,B-A,0,5,"AB"):
+//help:Letterrot(C,B-A,"t0n5","AB"):
+  regional(tmov,nmov,tmp,tmp1,tmp2);
+  tmp1=indexof(movstr,"t");
+  tmp2=indexof(movstr,"n");
+  if(tmp1>0,
+    if(tmp2>0,tmp=tmp2-1,tmp=length(movstr));
+    tmov=parse(substring(movstr,tmp1,tmp));
+  ,
+    tmov=0;
+  );
+  if(tmp2>0,
+    nmov=parse(substring(movstr,tmp2,length(movstr)));
+  ,
+    nmov=0;
+  );
+  Letterrot(pt,dir,tmov,nmov,str);
+);
+Letterrot(pt,dir,tmov,nmov,str):=(
+  Letter([pt,"c",str],["notex"]);
+  Com2nd("Letterrot("+pt+","+dir+","+tmov+","+nmov+",'"+str+"')");
+);
+
+Exprrot(pt,dir,str):=Exprrot(pt,dir,0,0,str);
+Exprrot(pt,dir,movstr,str):=(
+//help:Exprrot(C,B-A,"d"):
+//help:Exprrot(C,B-A,0,5,"d"):
+//help:Exprrot(C,B-A,"t0n5","d"):
+  regional(tmov,nmov,tmp,tmp1,tmp2);
+  tmp1=indexof(movstr,"t");
+  tmp2=indexof(movstr,"n");
+  if(tmp1>0,
+    if(tmp2>0,tmp=tmp2-1,tmp=length(movstr));
+    tmov=parse(substring(movstr,tmp1,tmp));
+  ,
+    tmov=0;
+  );
+  if(tmp2>0,
+    nmov=parse(substring(movstr,tmp2,length(movstr)));
+  ,
+    nmov=0;
+  );
+  Exprrot(pt,dir,tmov,nmov,str);
+);
+Exprrot(pt,dir,tmov,nmov,str):=(
+  Expr([pt,"c",str],["notex"]);
+  Com2nd("Exprrot("+pt+","+dir+","+tmov+","+nmov+",'"+str+"')");
+);
+
+Slider(ptstr,p1,p2):=( //17.04.11
+//help:Slider("A-C-B",[-3,0],[3,0]);
+  regional(pA,pB,pC,seg,sname,Alpha,tmp,tmp1);
+  tmp=indexall(ptstr,"-");
+  pA=substring(ptstr,0,tmp_1-1);
+  pC=substring(ptstr,tmp_1,tmp_2-1);
+  pB=substring(ptstr,tmp_2,length(ptstr));
+  seg=pA+pB;
+  Alpha="ABCDEFGHIJKLMNOPQRSTUVWXYZ";
+  sname="";
+  forall(1..(length(seg)),
+    tmp=substring(seg,#-1,#);
+    tmp1=indexof(Alpha,tmp);
+    if(tmp1>0,
+      sname=sname+unicode(text(tmp1+96),base->10);
+    ,
+      sname=sname+tmp;
+    );
+  );
+  Putpoint(pA,p1);
+  Putpoint(pB,p2);
+  Listplot([parse(pA),parse(pB)],["notex","color->[0,0.4,0.4]","size->2"]);
+//  create([sname],"Segment",[parse(pA),parse(pB)]);
+//  tmp2=Listplot("",[p1,p2],["nodata"]);
+  Putonseg(pC,parse("sg"+pA+pB));
+//  create([pC],"PointOn",[parse(sname),0.5]);
+);
+
+Putpoint(name,Pt):=Putpoint(name,Pt,Pt);
+Putpoint(name,Ptinit,Pt):=(
+//help:Putpoint("A",[1,2],[1,A.y]);
+  regional(ptstr);
+  ptstr=apply(allpoints(),#.name);
+  if(!contains(ptstr,name),
+    createpoint(name,Pcrd([Ptinit_1,Ptinit_2]));
+    ,
+    ptstr=name+".xy="+textformat(Pcrd(Pt),5);
+    parse(ptstr);
+  );
+);
+
+Bezierpt(t,ptlist,ctrlist):=(
+  regional(flg3,p0,p1,p2,p3,p4,p5,p6,p7,p8,p9);
+  p0=ptlist_1;
+  p3=ptlist_2;
+  p1=ctrlist_1;
+  if(length(ctrlist)==1,
+    p2=p3;
+    flg3=0;
+  ,
+    p2=ctrlist_2;
+    flg3=1;
+  );
+  if(length(p0)<3,  // 15.02.08
+    p0=Lcrd(p0);
+    p3=Lcrd(p3);
+    p1=Lcrd(p1);
+    p2=Lcrd(p2);
+  );
+  p4=(1-t)*p0+t*p1;
+  p5=(1-t)*p1+t*p2;
+  p6=(1-t)*p2+t*p3;
+  p7=(1-t)*p4+t*p5;
+  p8=(1-t)*p5+t*p6;
+  p9=(1-t)*p7+t*p8;
+  if(flg3==0,p7,p9);
+);
+
+Bezier(ptctrlist):=BezierCurve(ptctrlist_3,ptctrlist_1,ptctrlist_2,[]);
+Bezier(ptctrlist,options):=BezierCurve(ptctrlist_3,ptctrlist_1,ptctrlist_2,options);
+Bezier(nm,ptlist,ctrlist):=BezierCurve(nm,ptlist,ctrlist,[]);
+Bezier(nm,ptlist,ctrlist,options):=BezierCurve(nm,ptlist,ctrlist,options);
+BezierCurve(nm,ptlist,ctrlist):=BezierCurve(nm,ptlist,ctrlist,[]);
+BezierCurve(nm,ptlistorg,ctrlistorg,options):=(
+//help:Bezier("1",[A,D],[B,C]);
+//help:Bezier(options=["Num=10"]);
+  regional(name,Ltype,Noflg,opstr,opcindy,Num,
+    ptlist,ctrlist,tmp,tmp1,tmp2,ii,st,out,list);
+  name="bz"+nm;
+  tmp=Divoptions(options);
+  Ltype=tmp_1;
+  Noflg=tmp_2;
+  opstr=tmp_(length(tmp)-1);
+  opcindy=tmp_(length(tmp));
+  Num=10;
+  tmp1=tmp_5;
+  forall(tmp1,     // 14.12.31
+    if(substring(#,0,1)=="N",
+      tmp2=indexof(#,"=");
+      Num=parse(substring(#,tmp2,length(#)));
+      opstr=opstr+","+Dq+#+Dq;
+    );
+  );
+  ptlist=apply(ptlistorg,Lcrd(#)); // 16.08.16
+  ctrlist=[];  // 14.12.31
+  if(length(ctrlistorg)==length(ptlist)-1,
+    forall(ctrlistorg,tmp1,
+      if(MeasureDepth(tmp1)==0,tmp=[tmp1],tmp=tmp1);
+      tmp=apply(tmp,Lcrd(#)); // 16.08.16
+      ctrlist=append(ctrlist,tmp);
+    );
+  ,
+    forall(1..(length(ptlist)-1),ii,
+      tmp=ctrlistorg_((2*ii-1)..(2*ii));
+      tmp=apply(tmp,Lcrd(#)); // 16.08.16
+      ctrlist=append(ctrlist,tmp);
+    );
+  );
+  if(!islist(Num),
+    Num=apply(ctrlist,Num);
+  );
+  list=[];
+  forall(1..(length(ptlist)-1),ii,
+    tmp1=ptlist_(ii..(ii+1));
+    tmp2=ctrlist_ii;
+    if(ii==1,st=0,st=1);
+    forall(st..Num_ii,
+      tmp=Bezierpt(#/Num_ii,tmp1,tmp2);
+      list=append(list,tmp);
+    );
+  );
+  if(Noflg<3,
+    println("generate Bezier "+name);
+    out=apply(list,Pcrd(#));
+    tmp=name+"="+textformat(out,5);
+    parse(tmp);
+    tmp1=textformat(ptlist,5);
+    tmp1="list("+substring(tmp1,1,length(tmp1)-1)+")";
+    tmp2=textformat(ctrlist,5);
+    tmp2="list("+substring(tmp2,1,length(tmp2)-1)+")";
+    GLIST=append(GLIST,name+"=Bezier("+tmp1+","+tmp2+opstr+")");
+  );
+  if(Noflg<2,
+    if(isstring(Ltype),
+      Ltype=GetLinestyle(text(Noflg)+Ltype,name);
+    ,
+      if(Noflg==1,Ltype=0);
+    );
+    GCLIST=append(GCLIST,[name,Ltype,opcindy]);
+  );
+  list;
+);
+
+Readcsvsla(fname):=Readplotdigdata(fname,[]);
+Readcsvsla(fname,options):=Readplotdigdata(fname,options);
+Readplotdigdata(fname):=Readplotdigdata(fname,[]);
+Readplotdigdata(fname,options):=(
+  regional(fsc,mv,cmdall,dataL,nd,npt,ptdata,ii,tmp,tmp1,tmp2,tmp3);
+  tmp=Divoptions(options);
+  tmp1=tmp_6;
+  sc=1;//10;
+  mv=[0,0];//[5,5];
+  forall(tmp1,
+    if(!islist(#),sc=#,mv=#);
+  );
+  if(indexof(fname,".")>0,
+    tmp=load(fname);
+  ,
+    tmp=load(fname+".txt");
+  );
+  cmdall=tokenize(tmp,"//");
+  dataL=[];
+  forall(2..length(cmdall),ii,
+    tmp1=parse("["+cmdall_ii+"]");
+    dataL=append(dataL,tmp1);
+  );
+  if(length(dataL_(length(dataL)))<2,
+    dataL=dataL_(1..(length(dataL)-1));
+  );
+  nd=length(dataL_1)/2;
+  npt=length(dataL);
+  ptdata=[];
+  forall(1..nd,ii,
+    tmp3=[];
+    forall(1..npt,
+      tmp1=dataL_#_(2*ii-1);
+      tmp2=dataL_#_(2*ii);
+      if(isreal(tmp1),
+        tmp3=append(tmp3,[tmp1,tmp2]);
+      );
+    );
+    ptdata=append(ptdata,tmp3);
+  );
+  tmp1=[];
+  forall(ptdata,
+    tmp=#/sc;
+    tmp=translatedata("1",[tmp],-mv,["nodata"]);
+    tmp1=append(tmp1,tmp);
+  );
+  ptdata=tmp1;
+  ptdata;
+);
+
+Putbezierdata(name,ptL):=Putbezierdata(name,ptL,[]);
+Putbezierdata(name,ptL,options):=(
+  regional(psize,Deg,tmp,tmp1,tmp2,p1,p2,pts,ctrs);
+  tmp=Divoptions(options);
+  psize=3;
+  Deg=3;
+  tmp1=tmp_5;
+  forall(tmp1,
+    if(substring(#,0,1)=="D",
+      tmp=indexof(#,"=");
+      Deg=parse(substring(#,tmp,length(#)));
+    );
+    if(substring(#,0,1)=="S",
+      tmp=indexof(#,"=");
+      psize=parse(substring(#,tmp,length(#)));
+    );
+  );
+  pts=[];
+  ctrs=[];
+  forall(1..length(ptL),
+    p2=ptL_#; // 16.08.16
+    if(ispoint(p2),
+      tmp1=text(p2);
+    ,
+      tmp1=name+text(#);
+      Putpoint(tmp1,p2,Lcrd(parse(tmp1))); // 16.08.16
+    );
+    inspect(parse(tmp1),"ptsize",psize);
+    pts=append(pts,parse(tmp1));
+    inspect(parse(tmp1),"color",4);
+    if(#>1,
+      p1=Lcrd(ptL_(#-1)); // 16.08.16
+      p2=Lcrd(ptL_#); // 16.08.16
+      if(Deg==3,
+        tmp=(2*p1+p2)/3;
+        tmp1=name+"p"+text(#-1);
+        Putpoint(tmp1,tmp,Lcrd(parse(tmp1))); // 16.08.16
+        inspect(parse(tmp1),"labeled",false);  //15.01.22
+		Letter([parse(tmp1),"ne",tmp1],["notex"]);  //15.01.22
+        inspect(parse(tmp1),"ptsize",psize);
+        inspect(parse(tmp1),"color",3);
+        tmp=(p1+2*p2)/3;
+        tmp2=name+"q"+text(#-1);
+		Putpoint(tmp2,tmp,Lcrd(parse(tmp2))); // 16.08.16
+        inspect(parse(tmp2),"labeled",false);  //15.01.22
+  	    Letter([parse(tmp2),"ne",tmp2],["notex"]);  //15.01.22
+        inspect(parse(tmp2),"ptsize",psize);
+        inspect(parse(tmp2),"color",3);
+        ctrs=append(ctrs,[parse(tmp1),parse(tmp2)]);
+      ,
+        tmp=(p1+p2)/2;
+        tmp1=name+"p"+text(#-1);
+        Putpoint(tmp1,tmp,Lcrd(parse(tmp1))); // 16.08.16
+        inspect(parse(tmp1),"labeled",false);  //15.01.22
+		Letter([parse(tmp1),"ne",tmp1],["notex"]);  //15.01.22
+        inspect(parse(tmp1),"ptsize",psize);
+        inspect(parse(tmp1),"color",3);
+        ctrs=append(ctrs,[parse(tmp1)]);
+      );
+    );
+  );
+  [pts,ctrs,name];
+);
+
+Bezierstart(n):=( // 2016.02.26
+  BezierNumber=n;
+);
+
+Mkbezierptcrv(ptdata):=Mkbezierptcrv(ptdata,[]);
+Mkbezierptcrv(ptdata,options):=(
+ //help:Mkbezierptcrv([A,B,C,D]);
+ //help:Mkbezierptcrv([[A,B],[C,D]]);
+ //help:Mkbezierptcrv(options=["Num=10"]);
+ //  global BezierNumber
+  regional(ptlist,Out,tmp,tmp1,tmp2);
+  if(isstring(ptdata),
+    ptlist=Readcsvsla(ptdata,options);
+  ,
+    ptlist=ptdata;
+  );
+  if(MeasureDepth(ptlist)==1,ptlist=[ptlist]);
+  Out=[];
+  forall(1..length(ptlist),
+    tmp=floor((BezierNumber-1)/26);// 15.02.23
+    if(tmp==0,tmp="",tmp=text(tmp));
+    tmp2=mod(BezierNumber,26);
+    if(tmp2==0,tmp2=26);
+    tmp1=unicode(text(96+tmp2),base->10)+tmp;// 15.03.11
+    tmp2=Putbezierdata(tmp1,ptlist_#,options);
+    Bezier(tmp2,options);
+    BezierNumber=BezierNumber+1;
+    Out=append(Out,tmp2_(1..2));
+  );
+  Out;
+);
+
+Mkbeziercrv(nm,ptctrL):=Mkbeziercrv(nm,ptctrL,[]);
+Mkbeziercrv(nm,ptctrL,options):=(
+ //help:Mkbeziercrv("1",[[A,B,C,D],[[P,Q],[R,S],T]]);
+  regional(ptctrLL,name,ptlist,ctrlist,tmp,tmp1,tmp2);
+  if(MeasureDepth(ptctrL)==2,ptctrLL=[ptctrL],ptctrLL=ptctrL);
+  forall(1..length(ptctrLL),
+    name=nm+text(#);
+    ptlist=ptctrLL_#_1;
+    ctrlist=ptctrLL_#_2;
+    Bezier(name,ptlist,ctrlist,options);
+  );  
+);
+
+Writebezier():=Writebezier(Fhead,"all");
+Writebezier(head):=Writebezier(head,"all");
+Writebezier(head,seL):=(
+//help:Writebezier(file);
+//help:Writebezier(file,"acd");
+  regional(bz,dt,name,tmp,tmp1,tmp2);
+  bz=select(GLIST,indexof(#,"=Bezier")>0);
+  tmp1=[]; // 16.04.22from
+  if(seL!="all",
+    forall(1..length(seL),
+      tmp=substring(seL,#-1,#);
+      tmp=select(bz,indexof(#,"bz"+tmp)>0);
+      tmp1=concat(tmp1,tmp);
+    );
+    bz=tmp1;// 16.04.22upto
+  );
+  dt=[head+"n",[[length(bz),0]]];
+  forall(1..length(bz),
+    tmp=indexof(bz_#,"=");
+    name=substring(bz_#,0,tmp-1);
+    tmp=indexof(bz_#,","+Dq);
+    if(tmp>0,
+      tmp1=substring(bz_#,0,tmp-1)+")";
+    ,
+      tmp1=bz_#;
+    );
+    tmp1=replace(tmp1,"Bezier(","[");
+    tmp1=replace(tmp1,"list(","[");
+    tmp1=replace(tmp1,")","]");
+    tmp1=replace(tmp1,",",".xy,");
+    tmp1=replace(tmp1,"]",".xy]");
+    tmp1=replace(tmp1,".xy,[",",[");
+    tmp1=replace(tmp1,"].xy","]");
+    tmp1=replace(tmp1,name,head+text(#));
+    parse(tmp1);
+    tmp=parse(head+text(#)+"_1");
+    dt=concat(dt,[head+text(#)+"k",tmp]);    
+    tmp=parse(head+text(#)+"_2");
+    dt=concat(dt,[head+text(#)+"c",tmp]);    
+  );
+  WriteOutData(head+".txt",dt);
+  dt;
+);
+
+Readbezier(file):=Readbezier(file,[]);
+Readbezier(file,optionorg):=(
+//help:Readbezier("xsr");
+//help:Readbezier(options=["Num=10","nogeo"]);
+  regional(nn,options,stL,geo,nc,alpha,out,tmp,tmp1,tmp2,tmp3);
+  options=optionorg;
+  tmp=Divoptions(options);
+  stL=tmp_7;
+  geo=0;
+  forall(stL,
+    tmp=Toupper(substring(#,0,1));
+    if(tmp=="G",geo=1);
+    options=remove(options,[#]);
+  );
+  ReadOutData(file);
+  tmp=file+"n_1_1";
+  nn=parse(tmp);
+  out=[];
+  forall(1..nn,nc,
+    tmp=file+text(nc);
+    tmp1=parse(tmp+"k");
+    tmp2=parse(tmp+"c");
+    if(MeasureDepth(tmp2)==1,tmp2=[tmp2]); // 16.04.22from
+	if(geo==1,
+      alpha="abcdefghijklmnopqrstuvwxyz";
+      forall(1..length(tmp1),
+        tmp="k"+BezierNumber+"n"+text(nc)+substring(alpha,#-1,#);
+        Putpoint(tmp,tmp1_#,parse(tmp+".xy"));
+        inspect(parse(tmp),"labeled",false);
+        inspect(parse(tmp),"ptsize",3);
+        tmp1_#=parse(tmp+".xy");
+      );
+      forall(1..length(tmp2),
+        tmp="c"+BezierNumber+"n"+text(nc)+substring(alpha,#-1,#)+"1";
+        Putpoint(tmp,tmp2_#_1,parse(tmp+".xy"));
+        inspect(parse(tmp),"labeled",false);
+        inspect(parse(tmp),"color",4);
+        inspect(parse(tmp),"ptsize",3);
+        tmp2_#_1=parse(tmp+".xy");
+        tmp="c"+BezierNumber+"no"+text(nc)+substring(alpha,#-1,#)+"2";
+        Putpoint(tmp,tmp2_#_2,parse(tmp+".xy"));
+        inspect(parse(tmp),"labeled",false);
+        inspect(parse(tmp),"color",4);
+        inspect(parse(tmp),"ptsize",3);
+        tmp2_#_2=parse(tmp+".xy");
+      );
+      BezierNumber=BezierNumber+1;
+    );
+    Bezier(file+text(nc),tmp1,tmp2,options);// 16.04.22upto
+    out=append(out,"bz"+tmp);
+  );
+  out;
+);
+
+Ospline(nm,ptlist):=Ospline(nm,ptlist,[]);
+Ospline(nm,ptlist,options):=(
+//help:Ospline("1",ptlist,[options]);
+  regional(tmp,tmp1,tmp2,list,ptL,ctrL,name,closed,flg,
+      p0,p1,p2,p3,pQ,pR,cc,p01,p02,p11,p12,p21,p22,p31,p32);
+  name="o"+nm;
+  if(isstring(ptlist),list=parse(ptlist),list=ptlist);
+  if(|list_1-list_(length(list))|<10^(-6),closed=1,closed=0);
+//  list=apply(list,LLcrd(#));
+  ctrL=[];
+  forall(1..(length(list)-1),
+    flg=0;
+    p1=Lcrd(list_#);  // 16.08.16
+    p2=Lcrd(list_(#+1));  // 16.08.16
+    if(#==1 % #==length(list)-1,
+      flg=1;
+      if(closed==0,
+        pQ=(p1+2*p2)/3; // 15.09.21  // 16.08.16
+        pR=(2*p1+p2)/3;  // 16.08.16
+        ctrL=append(ctrL,[pQ,pR]);
+        flg=2;
+      ,
+        if(#==1,
+          p0=Lcrd(list_(length(list)-1));  // 16.08.16
+          p3=Lcrd(list_(#+2));  // 16.08.16
+       ,
+          p0=Lcrd(list_(#-1));  // 16.08.16
+          p3=Lcrd(list_2);  // 16.08.16
+        );
+      );
+    );
+    if(flg<=1,
+      if(flg==0,
+        p0=Lcrd(list_(#-1));  // 16.08.16
+        p3=Lcrd(list_(#+2));  // 16.08.16
+      );
+      tmp=1+sqrt((1+Dotprod(p2-p0,p3-p1)/|p2-p0|/|p3-p1|)/2);
+      cc=4*|p2-p1|/3/(|p2-p0|+|p3-p1|)/tmp;
+      pQ=p1+cc*(p2-p0); // 15.09.21  // 16.08.16
+      pR=p2+cc*(p1-p3);  // 16.08.16
+      ctrL=append(ctrL,[pQ,pR]);
+    );
+  );
+//  list=apply(list,LLcrd(#));  // 16.08.16
+//  ctrL=apply(ctrL,LLcrd(#));
+  if(closed==0,  // 15.09.21
+    p1=ctrL_2_1;
+    p2=Lcrd(list_2);  // 16.08.16
+    pQ=p2+(p2-p1);
+    ctrL_1=[pQ];
+    tmp=length(ctrL);
+    tmp1=ctrL_(tmp-1);
+    p1=ctrL_(tmp-1)_2;
+    p2=Lcrd(list_(tmp));  // 16.08.16
+    pQ=p2+(p2-p1);
+    ctrL_tmp=[pQ];
+  );
+  Bezier("o"+nm,list,ctrL,options);
+);
+  
+CRspline(nm,ptL):=CRspline(nm,ptL,[]);
+CRspline(nm,ptL,options):=(
+  // Catmull-Rom spline
+//help:CRspline("1",[A,B,C,A]);
+  regional(name,ptlist,ctrpts,eqL,opcindy,c,v,tmp,tmp1,tmp2,ctrlist,cflg);
+  name="crsp"+nm;
+  if(MeasureDepth(ptL)==1,tmp=[ptL],tmp=ptL);
+  ptlist=tmp_1;
+  if(length(tmp)==1,
+    cflg=1;
+  ,
+    cflg=0;
+    ctrpts=tmp_2;
+  );
+  c=1/6;
+  tmp=Divoptions(options);
+  eqL=tmp_5;
+  opcindy=tmp_(length(tmp)); // 15.03.05
+  forall(eqL,
+    if(substring(#,0,1)=="R",
+      tmp2=indexof(#,"=");
+      c=parse(substring(#,tmp2,length(#)));
+    );
+  );
+  ptlist=apply(ptlist,Lcrd(#)); // 16.08.16
+  ctrlist=[];
+  forall(1..(length(ptlist)-1),
+    if(#==1,
+      if(cflg==0,
+        tmp1=ctrpts_1;
+      ,
+        v=ptlist_2-ptlist_(length(ptlist)-1);
+        tmp1=ptlist_#+c*v;
+      );
+    ,
+      v=ptlist_(#+1)-ptlist_(#-1);
+      tmp1=ptlist_#+c*v;
+    );
+    if(#==length(ptlist)-1,
+      if(cflg==0,
+        tmp2=ctrpts_2;
+      ,
+        v=ptlist_2-ptlist_#;
+        tmp2=ptlist_(#+1)-c*v;
+      );
+    ,
+      v=ptlist_(#+2)-ptlist_#;
+      tmp2=ptlist_(#+1)-c*v;
+    );
+    tmp=select(options,indexof(text(#),"->")>0);
+    tmp=append(tmp,"notex");  //15.03.05
+	Pointdata(name+text(#),[tmp1,tmp2],tmp);
+    ctrlist=append(ctrlist,[tmp1,tmp2]);
+  );
+  Bezier(nm,ptlist,ctrlist,options);
+);
+
+Beziersmooth(nm,ptL):=Bzspline(nm,ptL,[]);
+//help:Beziersmooth("1",[A,B,C,A]);
+Beziersmooth(nm,ptL,options):=Bzspline(nm,ptL,options);
+Bzspline(nm,ptL):=Bzspline(nm,ptL,[]);
+Bzspline(nm,ptLorg,options):=(
+  // smooth bezier
+  regional(name,Eps,ptL,pt,pt1,pt2,pt3,npt,lstr,
+    tmp,tmp1,tmp2,cflg,ctrlist);
+  name="bzsp"+nm;
+  Eps=10^(-3);
+  ptL=apply(ptLorg,Lcrd(#)); // 16.08.16
+  if(|ptL_1-ptL_(length(ptL))|<Eps,cflg=1,cflg=0);
+  forall(2..length(ptL),
+    pt=ptL_#;
+    pt1=ptL_(#-1);
+    tmp1="C"+text(#-1)+"q";
+    Putpoint(tmp1,(pt1+4*pt)/5,Lcrd(parse(tmp1))); // 16.08.16
+  );
+  forall(2..(length(ptL)-1),
+    if(#<length(ptL) % cflg==1,
+      lstr="c"+text(#);
+      pt=ptLorg_#; // 16.08.16
+      pt1=parse("C"+text(#-1)+"q");
+      create([lstr],"Join",[pt1,pt]);
+      tmp2="C"+text(#)+"p";
+      tmp=Append((2*pt.xy-pt1.xy),1);
+      create([tmp2],"PointOnLine",[parse(lstr),tmp]);
+    );
+  );
+  if(cflg==0,
+    pt=ptL_1;
+    pt1=ptL_2;
+    tmp1="C1p";
+    Putpoint(tmp1,(4*pt+pt1)/5,Lcrd(parse(tmp1))); // 16.08.16
+  );
+  if(cflg==1,
+    lstr="c1";
+    pt=ptLorg_1; // 16.08.16
+    pt1=parse("C"+text(length(ptL)-1)+"q");
+    create([lstr],"Join",[pt1,pt]);
+    tmp1="C1p";
+    tmp=Append((2*pt.xy-pt1.xy),1);
+    create([tmp1],"PointOnLine",[parse(lstr),tmp]);
+  );
+  ctrlist=[];
+  forall(1..(length(ptL)-1),
+    if(#>1 % cflg==1,
+      tmp1="c"+text(#);
+      inspect(parse(tmp1),"alpha",0.3);
+    );
+    tmp1="C"+text(#)+"p";
+    tmp2="C"+text(#)+"q";
+    inspect(parse(tmp1),"ptsize",3);
+    inspect(parse(tmp1),"color",3);
+    inspect(parse(tmp2),"ptsize",3);
+    inspect(parse(tmp2),"color",3);
+    tmp=[parse(tmp1),parse(tmp2)];
+    ctrlist=append(ctrlist,tmp);
+  );
+  Bezier(nm,ptL,ctrlist,options);
+  [ptL,ctrlist];
+);
+
+Beziersym(nm,ptL):=Bzsspline(nm,ptL,[]);
+Beziersym(nm,ptL,options):=Bzsspline(nm,ptL,options);
+Bzsspline(nm,ptL):=Bzsspline(nm,ptL,[]);
+Bzsspline(nm,ptLorg,options):=(
+  // smooth bezier with symmetric control points
+  regional(name,Eps,ptL,pt,pt1,pt2,pt3,npt,lstr,
+    tmp,tmp1,tmp2,cflg,ctrlist);
+  name="bzssp"+nm;
+  Eps=10^(-3);
+  ptL=apply(ptLorg,Lcrd(#)); // 16.08.16
+  if(|ptL_1-ptL_(length(ptL))|<Eps,cflg=1,cflg=0);
+  forall(2..length(ptL),
+    pt=ptL_#;
+    pt1=ptL_(#-1);
+    tmp1="C"+text(#-1)+"q";
+    Putpoint(tmp1,(pt1+4*pt)/5,Lcrd(parse(tmp1)));
+  );
+  forall(2..(length(ptL)-1),
+    if(#<length(ptL) % cflg==1,
+      pt=ptL_#;
+      pt1=parse("C"+text(#-1)+"q");
+      tmp2="C"+text(#)+"p=2*pt-pt1";
+      parse(tmp2);
+    );
+  );
+  if(cflg==0,
+    pt=ptL_1;
+    pt1=ptL_2;
+    Putpoint("C1p",(4*pt+pt1)/5,Lcrd(C1p)); // 16.08.16   
+    inspect(C1p,"ptsize",3);
+    inspect(C1p,"color",3);
+  );
+  if(cflg==1,
+    pt=ptL_1;
+    pt1=Lcrd(parse("C"+text(length(ptL)-1)+"q")); // 16.08.16   
+    tmp1="Putpoint("+Dq+"C1p"+Dq+",2*pt-pt1)"; // 16.08.16   
+    parse(tmp1);
+  );
+  ctrlist=[];
+  forall(1..(length(ptL)-1),
+    tmp1="C"+text(#)+"p";
+    tmp2="C"+text(#)+"q";
+    inspect(parse(tmp2),"ptsize",3);
+    inspect(parse(tmp2),"color",3);
+    tmp=[parse(tmp1),parse(tmp2)];
+    ctrlist=append(ctrlist,tmp);
+  );
+  Bezier(nm,ptL,ctrlist,options);
+  [ptL,ctrlist];
+);
+
+Listbspline2bz(listorg):=(
+  regional(Eps,list,pcl,ptl,ctrl,k);
+  Eps=10^(-3);
+  list=apply(listorg,Lcrd(#)); // 16.08.16
+  k=length(list);
+  if(|list_1-list_k|>Eps,
+    pcl=list;
+    pcl_1=2*list_1-list_2;
+    pcl_k=2*list_k-list_(k-1);
+  ,
+    pcl=concat(list,[list_2]);
+  );
+  ctrl=apply(2..(length(pcl)-1),[pcl_#]);
+  ptl=apply(1..(length(pcl)-1),(pcl_#+pcl_(#+1))/2);
+  [ptl,ctrl];
+);
+
+Bspline(nm,ctrL):=Bspline(nm,ctrL,[]);
+Bspline(nm,ctrL,options):=(
+//help:Bspline("",[A,B,C]);
+  regional(list,tmp);
+  list=Listbspline2bz(ctrL);
+  tmp=BezierCurve("b"+nm,list_1,list_2,options);
+  tmp;
+);
+
+MeetCurve(Crv,Xorg,Yorg):=(
+  regional(Cv,tmp,tmp1,tmp2,X0,Y0,x1,x2,y1,y2,Ylist,Ban,Tate);
+  if(isstring(Crv),Cv=parse(Crv),Cv=Crv);
+  if(MeasureDepth(Cv)==2,Cv=Cv_1);
+  Cv=apply(Cv,LLcrd(#));  // 14.12.18
+  while(length(Cv)==1,
+    Cv=Cv_1;
+  );
+  Cv=apply(Cv,Lcrd(#));
+  tmp1=min(apply(Cv,#_1));
+  tmp2=max(apply(Cv,#_1));
+  if(isstring(Xorg),X0=parse(Xorg),X0=Xorg);
+  if(isstring(Yorg),Y0=parse(Yorg),Y0=Yorg);
+  if(X0<tmp1,
+    X0=tmp1;
+  ,
+    if(X0>tmp2,
+      X0=tmp2;
+    );
+  );
+  tmp1=select(
+    1..(length(Cv)-1),Cv_#_1<=X0 & X0<=Cv_(#+1)_1);
+  tmp2=select(
+    1..(length(Cv)-1),Cv_#_1>=X0 & X0>=Cv_(#+1)_1);
+  tmp2=remove(tmp2,common(tmp2,tmp1));
+  Ban=concat(tmp1,tmp2);
+  Tate=select(Ban,
+    abs(Cv_#_1-Cv_(#+1)_1)<=
+	   10^(-2)*abs(Cv_#_2-Cv_(#+1)_2)
+  );
+  Ban=remove(Ban,Tate);
+  Ylist=[];
+  forall(Ban,
+    tmp=Cv_#;
+    x1=tmp_1; y1=tmp_2;
+    tmp=Cv_(#+1);
+    x2=tmp_1; y2=tmp_2;
+    tmp=((x2-X0)*y1+(X0-x1)*y2)/(x2-x1);
+    Ylist=append(Ylist,tmp);
+  );
+  forall(Tate,
+    tmp=Cv_#;
+    x1=tmp_1; y1=tmp_2;
+    tmp=Cv_(#+1);
+    x2=tmp_1; y2=tmp_2;
+    tmp1=min([y1,y2]);
+    tmp2=max([y1,y2]);
+    if(Y0<tmp1,
+      tmp=tmp1;
+    ,
+      if(Y0>tmp2,
+        tmp=tmp2;
+      ,
+        tmp=Y0;
+      );
+    );
+    Ylist=append(Ylist,tmp);
+  );
+  tmp=sort(Ylist,abs(#_1-Y0));
+  [X0,tmp_1];
+);
+
+PutonLine(name,p1,p2):=PutonLine(name,p1,p2,[]);
+PutonLine(name,p1org,p2org,options):=(
+//help:PutonLine("C","sgAB");
+//help:PutonLine("C",pA,pB);
+  regional(par,p1,p2,dx,dy,tmp,tmp1,tmp2);
+  par=0.5;
+  tmp=Divoptions(options);
+  if(length(tmp_6)>0,
+    par=tmp_6_1;
+  );
+  p1=Lcrd(p1org);//16.10.11from
+  p2=Lcrd(p2org);
+  dx=p2_1-p1_1;
+  dy=p2_2-p1_2;
+  tmp1=(1-par)*p1+par*p2;
+  if(abs(dx)>abs(dy),    
+    tmp=name+".x";
+    tmp2="["+tmp+",dy/dx*("+tmp+"-p1_1)+p1_2]";//16.10.11upto
+    Putpoint(name,tmp1,parse(tmp2));
+  ,
+    if(abs(dy)>0,
+      tmp=name+".y";
+      tmp2="[dx/dy*("+tmp+"-p1.y)+p1_1,"+tmp+"]";
+      Putpoint(name,tmp1,parse(tmp2));
+    ,
+      tmp2=p1;//16.10.11
+      Putpoint(name,tmp1,tmp2);
+    );
+  );
+);
+
+PutonSeg(name,sgstr):=(
+  regional(seg,p1,p2);
+  if(isstring(sgstr),seg=parse(sgstr),seg=sgstr);
+  PutonSeg(name,LLcrd(seg_1),LLcrd(seg_2));
+);
+PutonSeg(name,p1,p2):=PutonSeg(name,p1,p2,[]);
+PutonSeg(name,p1org,p2org,options):=(
+//help:PutonSeg("C","sgAB");
+//help:PutonSeg("C",pA,pB);
+  regional(par,dx,dy,p,tmp,tmp1,tmp2);
+  par=0.5;
+  tmp=Divoptions(options);
+  if(length(tmp_6)>0,
+    par=tmp_6_1;
+  );
+  p1=Lcrd(p1org);//16.10.11from
+  p2=Lcrd(p2org);
+  PutonLine(name,p1,p2,[par]);
+  dx=p2_1-p1_1;
+  dy=p2_2-p1_2;
+  p=parse(name+".xy");
+  p=LLcrd(p);
+  if(abs(dx)>abs(dy) & (p_1-p1_1)*(p_1-p2_1)>0,
+    if(|p-p1|<|p-p2|,
+      parse(name+".xy=Pcrd(p1)");
+    ,
+      parse(name+".xy=Pcrd(p2)");
+    );
+  );
+  if(abs(dx)<abs(dy) & (p_2-p1_2)*(p_2-p2_2)>0,
+    if(|p-p1|<|p-p2|,
+      parse(name+".xy=Pcrd(p1)");
+    ,
+      parse(name+".xy=Pcrd(p2)");//16.10.11upto
+    );
+  );
+);
+
+PutonCurve(pn,crv):=PutonCurve(pn,crv,[]);
+PutonCurve(pn,crv,options):=(
+//help:PutonCurve("A","gr1");
+  regional(Pmt,pstr,optionL,leftlim,rightlim,tmp,tmp1,Flg,Msg);
+  if(!islist(options),optionL=[options],optionL=options);
+  leftlim=XMIN;
+  rightlim=XMAX;
+  Flg=0;
+  Msg="y";
+  forall(optionL,
+    if(isstring(#),  // 16.02.10 from
+      tmp=indexof(#,"=");
+      tmp1=Toupper(substring(#,tmp,tmp+1));
+      if(tmp1=="N", Msg="n"); // 16.02.10 upto
+    ,
+      if(Flg==0,
+        leftlim=#;
+        Flg=Flg+1;
+      ,
+        rightlim=#;
+      );
+    );
+  );
+  Pmt=MeetCurve(crv,leftlim,0);
+  pstr=apply(allpoints(),textformat(#,5)); // 15.04.07
+  if(!contains(pstr,pn),
+    createpoint(pn,Pcrd(Pmt));
+  ,
+    tmp1=parse(pn+".x");
+    if(tmp1< leftlim % tmp1>rightlim,
+      if(tmp1< leftlim,tmp= leftlim, tmp=rightlim);
+      Pmt=MeetCurve(crv,textformat(tmp,5),pn+".y");
+    ,
+      Pmt=MeetCurve(crv,pn+".x",pn+".y");
+    );
+    ptstr=pn+".xy="+textformat(Pcrd(Pmt),5)+";";
+    parse(ptstr);
+  );
+  if(Msg=="y",
+    println("Put "+pn+" on Curve "+text(crv));
+  );
+);
+
+CrossPoint(name,Crv1,Crv2,range):=(
+  regional(Mx1,Mx2,Mx3,tmp,Crs1,Crs2,Crs3,Crs4,df1,df2);
+  Mx1=range_1; Mx2=range_2;
+  repeat(15,
+    Mx3=(Mx1+Mx2)/2;
+    Crs1=MeetCurve(Crv1,Mx1,0);
+    Crs2=MeetCurve(Crv2,Mx1,0);
+    Crs3=MeetCurve(Crv1,Mx3,0);
+    Crs4=MeetCurve(Crv2,Mx3,0);
+    df1=Crs1_2-Crs2_2;
+    df2=Crs3_2-Crs4_2;
+    if((df1>0 & df2>0) % (df1<0 & df2<0),
+      Mx1=Mx3;
+    ,
+      Mx2=Mx3;
+    );
+  );
+  Putpoint(name,Crs1);
+);
+
+Setscaling(sc):=(
+//help:Setscaling(3);
+  SCALEX=1;
+  SCALEY=sc;
+  Com0th("Setscaling("+sc+")");
+  Setwindow("Msg=no");
+);
+
+Tabledatalight(nm,xLst,yLst,rmvL):=Tabledatalight(nm,xLst,yLst,rmvL,[]);
+Tabledatalight(nm,xLst,yLst,rmvL,options):=(
+//help:Tabledatalight("",xLst,yLst,rmvL,[2]);
+  regional(name,upleft,ul,flg,tick,n,m,xsize,ysize,rlist,clist,Tb,
+      tmp,tmp1,tmp2,tmp3,Eps);
+//  name="tb"+nm;
+  name="tb";
+  println("Tabledatalight "+name+" generated");
+  tmp=sum(yLst);
+  upleft=[0,tmp];
+  tick=1;
+  tmp=Divoptions(options);
+  flg=0;
+  forall(tmp_6,
+    if(flg==0,
+      tick=#;
+      flg=flg+1;
+    ,
+      upleft=tmp_6_1;
+    );
+  );
+  ul=upleft/10;
+  m=length(xLst);
+  n=length(yLst);
+  xsize=sum(xLst);
+  ysize=sum(yLst);
+  clist=[ul];
+  rlist=[ul];
+  forall(1..m,
+    tmp1=clist_(#)_1+xLst_#/10;
+    clist=append(clist,[tmp1,clist_1_2]);
+  );
+  forall(1..n,
+    tmp1=rlist_(#)_2-yLst_#/10;
+    rlist=append(rlist,[0,tmp1]);
+  );
+  Tb=[clist,rlist];
+  tmp=name+"="+Tb;
+  parse(tmp);
+  forall(0..m,
+    tmp1="c"+text(#)+"r0";
+    tmp2="c"+text(#)+"r"+text(n);
+    Tlistplot("c"+text(#)+"r0r"+text(n),[tmp1,tmp2],options);
+    if(mod(#,tick)==0 % #==m,
+      tmp=clist_(#+1);
+      drawtext(clist_(#+1)-[0.04,-0.1],"c"+text(#));
+    );
+  );
+  forall(0..n,
+    tmp1="c0r"+text(#);
+    tmp2="c"+text(m)+"r"+text(#);
+    Tlistplot("r"+text(#)+"c0c"+text(m),[tmp1,tmp2],options);
+    if(mod(#,tick)==0 % #==n,
+      tmp=rlist_(#+1);
+      drawtext(rlist_(#+1)-[0.4,0.1],"r"+text(#));
+    );
+  );
+  Tsegrmv(rmvL,options);
+  Addax(0);
+  Eps=10^(-3);
+  tmp1=clist_(length(clist));
+  tmp2=rlist_1;
+  tmp3=rlist_(length(rlist));
+  Setwindow([0-Eps,tmp1_1+Eps],[tmp3_2-Eps,tmp2_2+Eps]);
+  Tb;
+);
+
+Tabledata(nm,n,m,xsize,ysize,rmvL):=
+    Tabledata(nm,n,m,xsize,ysize,rmvL,[]);
+Tabledata(nm,n,m,xsize,ysize,rmvL,options):=(
+  regional(Tb,name,tmp,xLst,yLst);
+  name="tb"+nm;
+  xLst=apply(1..n,xsize/n);
+  yLst=apply(1..m,ysize/m);
+  Tabledata(nm,xLst,yLst,rmvL,options)
+);
+Tabledata(nm,xLst,yLst,rmvL):=Tabledata(nm,xLst,yLst,rmvL,[]);
+Tabledata(nm,xLst,yLst,rmvL,options):=(
+//help:Tabledata("",xLst,yLst,rmvL,[2]);
+  regional(name,upleft,ul,flg,tick,n,m,xsize,ysize,rlist,clist,Tb,
+      tmp,tmp1,tmp2,tmp3,Eps);
+//  name="tb"+nm;
+  name="tb";
+  println("Tabledata "+name+" generated");
+  tmp=sum(yLst);
+  upleft=[0,tmp];
+  tick=1;
+  tmp=Divoptions(options);
+  flg=0;
+  forall(tmp_6,
+    if(flg==0,
+      tick=#;
+      flg=flg+1;
+    ,
+      upleft=tmp_6_1;
+    );
+  );
+  ul=upleft/10;
+  m=length(xLst);
+  n=length(yLst);
+  xsize=sum(xLst);
+  ysize=sum(yLst);
+  clist=[ul];
+  rlist=[ul];
+  forall(1..m,
+    tmp1=clist_(#)_1+xLst_#/10;
+    clist=append(clist,[tmp1,clist_1_2]);
+  );
+  forall(1..n,
+    tmp1=rlist_(#)_2-yLst_#/10;
+    rlist=append(rlist,[0,tmp1]);
+  );
+  Tb=[clist,rlist];
+  tmp=name+"="+Tb;
+  parse(tmp);
+  forall(0..m,
+    tmp="C"+text(#);
+    tmp1="c"+text(#)+"r0";
+    if(#==0,
+      Putpoint(tmp,Tgrid(tmp1));
+    ,
+      Putpoint(tmp,Tgrid(tmp1),[parse(tmp+".x"),C0.y]);
+      clist_(#+1)=parse(tmp+".xy");
+    );
+    inspect(parse(tmp),"ptsize",3);
+    inspect(parse(tmp),"labeled",false);
+    if(mod(#,tick)==0 % #==m,
+      tmp=clist_(#+1);
+      drawtext(clist_(#+1)-[0.04,-0.1],"c"+text(#));
+    );
+  );
+  forall(0..n,
+    tmp="R"+text(#);
+    tmp1="c0r"+text(#);
+    if(#==0,
+      Putpoint(tmp,Tgrid(tmp1));
+    ,
+      Putpoint(tmp,Tgrid(tmp1),[R0.x,parse(tmp+".y")]);
+      rlist_(#+1)=parse(tmp+".xy");
+    );
+    Putpoint(tmp,Tgrid(tmp1),[R0.x,parse(tmp+".y")]);
+    inspect(parse(tmp),"ptsize",3);
+    inspect(parse(tmp),"labeled",false);
+    if(mod(#,tick)==0 % #==n,
+      tmp=rlist_(#+1);
+      drawtext(rlist_(#+1)-[0.4,0.1],"r"+text(#));
+    );
+  );
+  Tb=[clist,rlist];
+  tmp=name+"="+Tb;
+  parse(tmp);
+  forall(0..m,
+    tmp1="c"+text(#)+"r0";
+    tmp2="c"+text(#)+"r"+text(n);
+    Tlistplot("c"+text(#)+"r0r"+text(n),[tmp1,tmp2],options);
+    if(#<m,
+      tmp1=parse("C"+text(#));
+      tmp2=parse("C"+text(#+1));
+      tmp=(tmp1.xy+tmp2.xy)/2;
+      drawtext(tmp+[-0.2,0.5],text((tmp2.x-tmp1.x)*10));
+    );
+  );
+  forall(0..n,
+    tmp1="c0r"+text(#);
+    tmp2="c"+text(m)+"r"+text(#);
+    Tlistplot("r"+text(#)+"c0c"+text(m),[tmp1,tmp2],options);
+    if(#<n,
+      tmp1=parse("R"+text(#));
+      tmp2=parse("R"+text(#+1));
+      tmp=(tmp1.xy+tmp2.xy)/2;
+      drawtext(tmp-[1.2,0.1],text(abs(tmp1.y-tmp2.y)*10));
+    );
+  );
+  Tsegrmv(rmvL,options);
+  Addax(0);
+  Eps=10^(-3);
+  tmp1=clist_(length(clist));
+  tmp2=rlist_1;
+  tmp3=rlist_(length(rlist));  // 15.06.11
+  Setwindow([0-Eps,tmp1_1+Eps],[tmp3_2-Eps,tmp2_2+Eps]);
+  Tb;
+);
+
+Tseginfo(seg):=(
+  regional(cr,tp,tpc,n1,n2,n3,tmp,tmp1,tmp2);
+  if(substring(seg,0,2)=="sg",
+    cr=substring(seg,2,length(seg));
+  ,
+    cr=seg;
+  );
+  tp=substring(cr,0,1);
+  if(tp=="c",
+    tpc="r";
+  ,
+    tpc="c";
+  );
+  tmp1=indexof(cr,tpc);
+  tmp=substring(cr,tmp1,length(cr));
+  tmp2=tmp1+indexof(tmp,tpc);
+  n1=substring(cr,1,tmp1-1);
+  n2=substring(cr,tmp1,tmp2-1);
+  n3=substring(cr,tmp2,length(cr));
+  [tp+n1,tpc,parse(n2),parse(n3)];
+);
+
+Tsegrmv(rmvL):=Tsegrmv(rmvL,[]);
+Tsegrmv(rmvL,options):=(
+  regional(cr,gcL,flg,gc,hd,tail,tpc,m1,m2,n1,n2,tmp,tmp1,tmp2);
+  forall(rmvL,cr,
+    tmp1=Tseginfo(cr);
+    hd=tmp1_1;
+    tpc=tmp1_2;
+    m1=tmp1_3;
+    m2=tmp1_4;
+    gcL=select(GCLIST,Tseginfo(#_1)_1==tmp1_1);
+    flg=0;
+    forall(gcL,
+      if(flg==0,
+        tmp=Tseginfo(#_1);
+        n1=tmp_3;
+        n2=tmp_4;
+        if(m1>=n1 & m2<=n2,
+          gc=#;
+          flg=1;
+        );
+      );
+    );
+    if(flg==1,
+      Changestyle([gc_1],["nodisp"]);
+      tail="";
+      if(indexof(hd,"r")>0,
+        tail=hd; hd="";
+      );
+      if(n1<m1,
+        tmp1=tpc+text(n1);
+        tmp2=tpc+text(m1);
+        tmp=hd+tail+tmp1+tmp2;
+        Tlistplot(tmp,[hd+tmp1+tail,hd+tmp2+tail],options);
+      );
+      if(m2<n2,
+        tmp1=tpc+text(m2);
+        tmp2=tpc+text(n2);
+        tmp=hd+tail+tmp1+tmp2;
+        Tlistplot(tmp,[hd+tmp1+tail,hd+tmp2+tail],options);
+      );
+    );
+  );
+);
+
+Tgrid(ptstr):=(
+//help:Tgrid("c2r5");
+  regional(tmp,tmp1,tmp2);
+  tmp=parse(ptstr);
+  if(islist(tmp),
+    tmp;
+  ,
+    tmp=indexof(ptstr,"r");
+    tmp1=substring(ptstr,1,tmp-1);
+    tmp1=parse(tmp1);
+    tmp2=substring(ptstr,tmp,length(ptstr));
+    tmp2=parse(tmp2);
+    [tb_1_(tmp1+1)_1,tb_2_(tmp2+1)_2];
+  );
+);
+
+Tlistplot(ptL):=Tlistplot(ptL,[]);
+Tlistplot(Ag1,Ag2):=(
+  regional(nm,ptL,options);
+  if(isstring(Ag1),
+    nm=Ag1;
+    ptL=Ag2;
+    options=[];
+  ,
+    ptL=Ag1;
+    options=Ag2;
+    nm=ptL_1+ptL_2;
+  );
+  Tlistplot(nm,ptL,options);
+);
+Tlistplot(nm,ptL,options):=(
+//help:Tlistplot(["c0r0","c0r4"]);
+//help:Tlistplot("1",["c0r0","c0r4"]);
+  regional(tmp);
+  tmp=apply(ptL,Tgrid(#)); // 15.06.03
+  Listplot(nm,tmp,append(options,"Msg=no"));
+);
+
+ChangeTablestyle(nameL,style):=(
+////help:ChangeTablestyle(["r0c0c3"],["da"]);
+  regional(nmL,tmp,tmp1,tmp2);
+  if(islist(nameL),nmL=nameL,nmL=[nameL]);
+  nmL=apply(nmL,"sg"+#);
+  nmL=select(nmL,islist(parse(#)));
+  Changestyle(nmL,style);
+);
+
+Findcell(pos1,pos2):=Findcell("",pos1,pos2);
+Findcell(Tbdata,pos1,pos2):=(
+//help:Findcell("c0r0","c2r1");
+  regional(tmp1,tmp2,posnw,posse,ctr,dx,dy);
+  if(isstring(pos1),
+    posnw=Tgrid(pos1); // 15.05.20
+    posse=Tgrid(pos2);	
+    //posnw=parse(pos1);
+    //posse=parse(pos2);
+  ,
+    if(islist(pos1),
+      posnw=pos1;
+      posse=pos2;
+    ,
+      tmp1="c"+text(pos1-1)+"r"+text(pos2-1);
+      tmp2="c"+text(pos1)+"r"+text(pos2);
+      posnw=Tgrid(tmp1);
+      posse=Tgrid(tmp2);
+//      posnw=parse(tmp1);
+//      posse=parse(tmp2);
+    );
+  );
+  ctr=(posnw+posse)/2;
+  dx=abs(posse_1-ctr_1);
+  dy=abs(posnw_2-ctr_2);
+  [ctr,dx,dy];
+);
+
+Putcell(pos1,pos2,dir,lttr):=Putcell("",pos1,pos2,dir,lttr);
+Putcell(Tbdata,pos1,pos2,dir,lttr):=(
+//help:Putcell("c0r0","c2r1","lt","abc");
+//help:Putcell(2,3,"c","xyz");
+  regional(tmp,tmp1,tmp2,posnw,posse,
+     posdir,posstr,ctr,dx,dy);
+  tmp=Findcell(Tbdata,pos1,pos2);
+  ctr=tmp_1; dx=tmp_2; dy=tmp_3;
+  posdir=ctr;
+  posstr=dir;
+  if(indexof(dir,"b")>0,
+    posdir_2=posdir_2-dy;
+    posstr=replace(posstr,"b","n");
+  );
+  if(indexof(dir,"t")>0,
+    posdir_2=posdir_2+dy;
+    posstr=replace(posstr,"t","s");
+  );
+  if(indexof(dir,"l")>0,
+    posdir_1=posdir_1-dx;
+    posstr=replace(posstr,"l","e");
+  );
+  if(indexof(dir,"r")>0,
+    posdir_1=posdir_1+dx;
+    posstr=replace(posstr,"r","w");
+  );
+  Letter(posdir,posstr,text(lttr));
+);
+
+Putcellexpr(pos1,pos2,dir,ex):=Putcellexpr("",pos1,pos2,dir,ex);
+Putcellexpr(Tbdata,pos1,pos2,dir,ex):=(
+//help:Putcellexpr("c0r0","c2r1","lt","abc");
+//help:Putcellexpr(2,3,"c","\sin x");
+  Putcell(Tbdata,pos1,pos2,dir,"$"+text(ex)+"$");
+);
+
+Putrow(nrow,dir,lttrL):=Putrow("",nrow,dir,lttrL);
+Putrow(Tbdata,nrow,dir,lttrL):=(
+//help:Putrow(1,"c",["x","y","z"]);
+  regional(tmp,tmp1,mcol);
+  mcol=length(lttrL);
+  forall(1..mcol,
+    Putcell(Tbdata,#,nrow,dir,lttrL_#);
+  );
+);
+
+Putrowexpr(nrow,dir,exL):=Putrowexpr("",nrow,dir,exL);
+Putrowexpr(Tbdata,nrow,dir,exL):=(
+//help:Putrowexpr(2,"r",["x","y","z"]);
+  regional(lttrL);
+  lttrL=apply(exL,"$"+#+"$");
+  Putrow(Tbdata,nrow,dir,lttrL);
+);
+
+PutcoL(mcol,dir,lttrL):=PutcoL("",mcol,dir,lttrL);
+PutcoL(Tbdata,mcol,dir,lttrL):=(
+//help:PutcoL(1,"c",["x","y","z"]);
+  regional(tmp,tmp1,nrow);
+  nrow=length(lttrL);
+  forall(1..nrow,
+    Putcell(Tbdata,mcol,#,dir,lttrL_#);
+  );
+);
+PutcoLexpr(mcol,dir,exL):=PutcoLexpr("",mcol,dir,exL);
+PutcoLexpr(Tbdata,mcol,dir,exL):=(
+//help:PutcoLexpr(2,"r",["x","y","z"]);
+  regional(lttrL);
+  lttrL=apply(exL,"$"+#+"$");
+  PutcoL(Tbdata,mcol,dir,lttrL);
+);
+
+Setwindow():=Setwindow("Msg=yes");
+Setwindow(str):=(
+  regional(tmp,tmp1,tmp2,msg);
+  msg="y";
+  tmp=indexof(str,"="); // 16.02.10
+  tmp1=Toupper(substring(str,tmp,tmp+1));
+  if(tmp1=="N",msg="n");
+  if((ispoint(SW) & ispoint(NE)),
+    tmp1=Lcrd(SW);
+    tmp2=Lcrd(NE);
+    XMIN=tmp1_1; XMAX=tmp2_1;
+    YMIN=tmp1_2; YMAX=tmp2_2;
+  ,
+//    XMIN=-5; XMAX=5;
+//    YMIN=Lcrdy(-5); YMAX=Lcrdy(5);
+    createpoint("SW",Pcrd([XMIN,YMIN]));
+    createpoint("NE", Pcrd([XMAX,YMAX]));
+  );
+  if(msg=="y",
+    println("Setwindow(["+XMIN+","+XMAX+"],["+YMIN+","+YMAX+"])");
+  );
+  layer(KETPICLAYER);
+  autoclearlayer(KETPICLAYER,true);
+  drawpoly([Pcrd([XMIN,YMIN]), Pcrd([XMAX,YMIN]),
+        Pcrd([XMAX,YMAX]),Pcrd([XMIN,YMAX])],color->[1,1,1]);
+);
+Setwindow(xrange,yrange):=(
+//help:Setwindow([2,3],[-1,1]);
+  XMIN=xrange_1;
+  XMAX=xrange_2;
+  YMIN=yrange_1;
+  YMAX=yrange_2;
+//  Setwindow();
+);
+
+Sciform(list):=(
+  regional(plotlist,comp,pos,out,out2,nn,strL,flg,
+    tmp,tmp1,tmp2,tmp3,Nj);
+  plotlist=Flatten([list]);
+  out=replace(plotlist_1,".xy","");
+  out=replace(out,".x","(1)");
+  out=replace(out,".y","(2)");
+  if(length(plotlist)==1,
+    comp=[];
+    forall(1..length(out),
+       comp=append(comp,substring(out,#-1,#));
+    );
+    out="";
+    pos=0;
+    forall(comp,
+      if(#!="'",
+        out=out+#;
+      ,
+        if(pos==0,
+          tmp=indexof(out,"Assign(");
+          if(substring(out,length(out)-7,length(out))=="Assign(",
+            out=out+"'";
+            pos=1;
+          ,
+            out=out+"Assign('";
+            pos=2;
+          );
+        ,
+          if(pos==2,
+            out=out+"')";
+          , 
+            out=out+"'";
+          );
+          pos=0;
+        );
+      );
+    );    
+  ,
+    forall(2..length(plotlist),
+      comp=plotlist_#;
+      if(isstring(comp),
+        pos=indexof(comp,"Assign(");
+        if(pos>0,
+          comp=substring(comp,6,length(comp));
+        );
+        out=out+"Assign(";
+        comp=replace(comp,".xy","");
+        comp=replace(comp,".x","(1)");
+        comp=replace(comp,".y","(2)");
+        out=out+"'"+comp+"'";
+        out=out+"),";
+      );
+      if(islist(comp),
+        forall(comp,
+          out=out+"'"+#+"',";
+        );
+      );
+    );
+    if(length(plotlist)>1,
+      out=substring(out,0,length(out)-1);
+      out=out+");";
+    );
+  );
+  pos=[];
+  forall(1..length(out),
+    tmp=indexof(substring(out,#-1,length(out)),"Assign");
+    if(tmp>0,
+      tmp1=#-1+tmp;
+      if(length(pos)==0,
+        pos=[tmp1];
+      ,
+        if(pos_(length(pos))<tmp1,
+          pos=append(pos,tmp1);
+        );
+      );
+    );
+  );
+  if(length(pos)>0,
+    strL=[];
+    Nj=0;
+    forall(pos,
+      tmp=substring(out,Nj,#-1);
+      strL=append(strL,tmp);
+      Nj=#-1;
+    );
+    strL=append(strL,substring(out,Nj,length(out)));
+    out="";
+    forall(strL,
+      if(indexof(#,"Assign")==0,
+        out=out+#;
+      ,
+        tmp=indexof(#,"('");
+        tmp1=indexof(#,"')");
+        tmp2=substring(#,tmp+1,tmp1-2);
+        tmp3=substring(#,tmp1-2,length(#));
+        if(indexof(tmp2,"=")==0,
+          out=out+#;
+        ,
+          tmp=substring(tmp2,0,indexof(tmp2,"="));
+          out=out+"'"+tmp+"'+"+"Assign('";
+          tmp=substring(tmp2,indexof(tmp2,"="),length(tmp2));
+          out=out+tmp+tmp3;
+        );
+      );
+    );
+  );
+  out2="";   // patched 16.01.21 from
+  nn=length(out);
+  flg=0;
+  forall(1..nn,
+    if(flg==0,
+      tmp=indexof(out,"='+Assign('");
+      if(tmp==0,
+        out2=out2+out;
+        flg=1;
+      ,
+        out2=out2+substring(out,0,tmp);
+        out=substring(out,tmp+10,length(out));
+        tmp=indexof(out,"'"); // 16.04.19 from
+        tmp1=substring(out,0,tmp-1);
+        tmp2="1234567890";
+        tmp=apply(1..length(tmp1),
+            indexof(tmp2,substring(tmp1,#-1,#)));
+        tmp=min(tmp);
+        if(tmp==0,  // 16.04.19 upto
+          out2=out2+"'+Assign('";
+        ,
+          tmp=indexof(out,"'");
+          out=substring(out,0,tmp)+substring(out,tmp+1,length(out)); // 16.04.18 upto
+        );
+      );
+    );
+  );
+  out2=replace(out2,"Dist=","D=");
+  out2=replace(out2,"Dis=","D=");
+  out2;
+);
+
+
+Rform(list):=(
+  regional(plotlist,comp,pos,out,strL,tmp,tmp1,tmp2,tmp3,Nj);
+  out=list;
+  out=replace(out,"[[[","list([[");
+  out=replace(out,"[","c(");
+  out=replace(out,"]",")");
+  out=replace(out,".xy","");
+  out=replace(out,".x","[1]");
+  out=replace(out,".y","[2]");
+  out;
+);
+
+Defvar(varstr):=(
+  regional(name,value,tmp,tmp1);
+  parse(varstr);
+  tmp=indexof(varstr,"=");
+  name=substring(varstr,0,tmp-1);
+  value=substring(varstr,tmp,length(varstr));
+  value=parse(value);
+  tmp1=select(1..length(VLIST),VLIST_#_1==name+"=");
+  if(length(tmp1)>0,
+    tmp=tmp1_1;
+    VLIST_tmp=[name+"=",value];
+  ,
+    VLIST=prepend([name+"=",value],VLIST);
+  );  
+);
+
+Defvar(name,value):=(
+//help:Defvar("a",0.3);
+  regional(tmp,tmp1);
+  if(islist(value),
+    tmp1="[";
+    forall(value,
+      tmp1=tmp1+format(#,5)+",";
+    );
+    tmp1=substring(tmp1,0,length(tmp1)-1)+"]";
+  ,
+    tmp1=format(value,5);
+  );
+  tmp=name+"="+tmp1; // 15.02.06
+  parse(tmp);
+  VLIST=select(VLIST,#_1!=name+"="); // 15.02.08
+  VLIST=prepend([name+"=",value],VLIST);
+);
+
+Iftosci(strorg):=( // 16.06.10
+  regional(str,ifL,ppL,cpL,kk,sL,
+    tmp,tmp1,tmp2,tmp3,tmp4);
+  str=replace(strorg,LFmark,"");
+  ifL=Indexall(str,"if(");
+  ppL=Bracket(str,"()");
+  cpL=Indexall(str,",");
+  tmp1=Bracket(str,"[]");
+  forall(1..(length(tmp1)/2),kk,
+    cpL=select(cpL,#<tmp1_(2*kk-1)_1%#_1>tmp1_(2*kk)_1);
+  );
+  forall(1..length(ifL),kk,
+    tmp=select(ppL,#_1>ifL_kk);
+    tmp1=tmp_1;
+    tmp2=select(tmp,#_2==-tmp1_2);
+    tmp2=tmp2_1;
+    tmp3=select(cpL,#>tmp1_1 & #<tmp2_1);
+    ifL_kk=[tmp1_1,tmp2_1,tmp1_2,tmp3];
+  );
+  forall(1..length(cpL),kk,
+    tmp=select(1..length(ifL),contains(ifL_#_4,cpL_kk));
+    tmp1=tmp_(length(tmp));
+    cpL_kk=[cpL_kk,tmp1];
+  );
+  sL=apply(1..length(str),substring(str,#-1,#));
+  forall(1..length(ifL),kk,
+    tmp1=ifL_kk_1;
+    tmp2=ifL_kk_2;
+    tmp=select(cpL,#_2==kk);
+    tmp3=apply(tmp,#_1);
+    sL_tmp1=" ";
+    sL_tmp2=";end;";
+    sL_(tmp3_1)=" then,";
+    if(length(tmp3)>1,
+      sL_(tmp3_2)=";else,";
+    );
+  );
+  tmp=sum(sL);
+);
+
+Fortosci(strorg):=(
+  regional(str,jj,var,tmp,tmp1,tmp2,tmp3,tmp4,
+    Out,repL,Pflg,Iflg,Cflg);
+  str=strorg;
+  repL=[];
+  tmp1=Indexall(str,"forall");
+  tmp2=Indexall(str,",");
+  forall(1..length(tmp1),jj,
+    tmp=select(tmp2,#>tmp1_jj);
+    var=substring(str,tmp_1,tmp_2-1);
+    tmp3=substring(str,tmp1_jj-1,tmp_2-1);
+    tmp=indexof(tmp3,"(");
+    tmp4=substring(tmp3,tmp,length(tmp3));
+    tmp=indexof(tmp4,",");
+    tmp4=substring(tmp4,0,tmp-1);
+    tmp4="for "+var+"="+tmp4;
+    tmp4=replace(tmp4,"..",":");
+    repL=concat(repL,[tmp3,tmp4]);
+  );
+  forall(1..length(repL)/2,
+    str=replace(str,repL_(2*#-1),repL_(2*#));
+  );
+  tmp=Bracket(str);
+  tmp=select(tmp,#_2==0);
+  tmp=tmp_1_1;
+  tmp1=substring(str,tmp-1,length(str));
+  tmp1=replace(tmp1,")",";end");
+  str=substring(str,0,tmp-1)+tmp1;
+  str=replace(str,";;",";");
+  str;
+);
+
+Deffun(name,bodylist):=(
+//help:Deffun("f(x)",["regional(y)","y=x^2*(x-3)","y"]); // 16.02.18
+  regional(funstr,tmp,tmp1,str,Pos);
+  funstr=name+":=(";
+  forall(bodylist,
+    funstr=funstr+#+";";
+  );
+  funstr=funstr+");";
+  parse(funstr);
+  tmp=bodylist_(length(bodylist));
+  str="function "+tmp+"="+name+",";
+  forall(1..(length(bodylist)-1),
+    tmp1=bodylist_#;
+    tmp1=replace(tmp1,LFmark,"");// 16.05.26
+    tmp1=replace(tmp1," ","");// 16.05.26
+    Pos=indexof(tmp1,"regional")+indexof(tmp1,"local");
+    if(Pos==0,
+      tmp=replace(tmp1,".xy","");
+      tmp=replace(tmp,".x","(1)");
+      tmp=replace(tmp,".y","(2)");
+      if(indexof(tmp,"if(")>0,
+        tmp=iftosci(tmp);
+      );
+      if(indexof(tmp,"forall(")>0, // 16.05.26from
+        tmp=Fortosci(tmp);
+      ); // 16.05.26upto
+      str=str+tmp+",";
+    );
+  );
+  str=str+"endfunction;";
+  FUNLIST=append(FUNLIST,str);
+);
+
+Windispg():=(
+  regional(Nj,Nk,Dt,Vj,tmp,tmp1,tmp2,tmp3,opcindy);
+  gsave();
+  layer(KETPIClayer);
+  forall(GCLIST,Nj,
+    if(isstring(Nj_1),Dt=parse(Nj_1),Dt=Nj_1);  // 11.17
+    if(islist(Dt) & length(Dt)>0,  // 12.19,12.22
+      tmp=MeasureDepth(Dt);
+      if(tmp==1,Dt=[Dt]);
+      opcindy=Nj_3;
+      if(Nj_2<0,tmp1=0,tmp1=Nj_2);
+      if(tmp1<10,
+        forall(Dt,Nk,
+//        tmp2=apply(Nk,if(ispoint(#),Lcrd(#),#));
+//        tmp2=apply(tmp2,Pcrd(#));
+          tmp2=Nk;    // 14.12.04
+          if(length(Nk)>1,
+		    forall(2..length(Nk),
+			  tmp3=textformat(Nk_[#-1,#],5);
+			  tmp3=substring(tmp3,1,length(tmp3)-1);
+              if(tmp1==1,opcindy=opcindy+",dashpattern->[2,2]");
+              tmp="draw("+tmp3+
+               ",dashtype->"+text(tmp1)+",linecolor->"+KCOLOR+opcindy+")";
+              parse(tmp);
+            );
+          ,
+            if(length(Nk)==1,
+              tmp="draw("+text(tmp2_1)+opcindy+")"; // 14.12.31
+              parse(tmp);
+            );
+          );
+        );
+      );
+    );
+  );
+//  if(ADDAXES=="1", // 16.10.08from
+//    draw([XMIN,0],[XMAX,0],color->[0,0.2,0]);
+//    draw([0,YMIIN],[0,YMAX],color->[0,0.2,0]);
+//    Letter([[XMAX,0],"e","x",[0,YMAX],"n","y"]);
+//    Letter([[0,0],"sw","O"]);
+//  ); // 16.10.08upto
+  grestore(); 
+  layer(0);
+);
diff --git a/Master/texmf-dist/doc/support/ketcindy/LICENSE b/Master/texmf-dist/doc/support/ketcindy/LICENSE
new file mode 100644
index 00000000000..6bdf89623f8
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/LICENSE
@@ -0,0 +1,14 @@
+//  Copyright (C)  2014  Setsuo Takato, KETCindy Japan project team
+//
+//This program is free software: you can redistribute it and/or modify
+// it under the terms of the GNU General Public License as published by
+// the Free Software Foundation; either version 3 of the License, or
+// (at your option) any later version.
+// 
+// This program is distributed in the hope that it will be useful,
+// but WITHOUT ANY WARRANTY; without even the implied warranty of
+// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+// GNU General Public License for more details.
+// 
+// You should have received a copy of the GNU General Public License
+// along with this program.  If not, see <http://www.gnu.org/licenses/>
diff --git a/Master/texmf-dist/doc/support/ketcindy/README.TeXLive b/Master/texmf-dist/doc/support/ketcindy/README.TeXLive
new file mode 100644
index 00000000000..4c9b3009b6a
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/README.TeXLive
@@ -0,0 +1,8 @@
+KETCindy for TeX Live
+=====================
+The files originally distributed by Prof. Takato have been adapted
+by Norbert Preining to work within the framework of TeX Live.
+At the moment only dirhead.txt was added to the main script location,
+and a wrapper script ketcindy(.sh).
+
+2018-04-09 Norbert Preining
diff --git a/Master/texmf-dist/doc/support/ketcindy/ScriptKeytyped.txt b/Master/texmf-dist/doc/support/ketcindy/ScriptKeytyped.txt
new file mode 100644
index 00000000000..cbb97c47b3d
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/ScriptKeytyped.txt
@@ -0,0 +1,134 @@
+if(key()=="?" % keydownlist()==[32],

+  if(!isreal(NumTyped),NumTyped=0);

+  if(NumTyped==0,

+    DispStr=

+     "Figure(1) Parent(2) Parapara(3) Movie(4) Surf(5)";

+  );

+  if(NumTyped==1,

+    DispStr=

+     "Shift+ Title(T) Para(P) AniF(A) Slide(S) Digest(D)";

+  );

+  if(NumTyped==2,

+    DispStr="Shift+ Meshlab(M) KeTCindyJS(J)";

+  );

+  if(NumTyped==3,

+    DispStr=

+     "Ch : disp(0) chg(9) N(+,-) add(<) rmv(>)";

+  );

+  drawtext(mouse().xy,DispStr,size->24);

+  NumTyped=mod(NumTyped+1,4);

+,

+  NumTyped=0;  

+);

+if(key()=="1",//Mkfigure

+  Viewtex();

+  kc();

+);

+if(key()=="2",//Mkparent

+  Viewparent();

+);

+if(key()=="3",//Flipbook(Parapara)

+  Flipbook();

+);

+if(key()=="4",//Texmovie

+  Texmovie();

+  kc();

+);

+if(key()=="5",//Surface

+  Cheader();

+  Cmain();

+  kcC();

+  if(ChNum>0,

+    Ch=[ChNum];

+  ,

+    Ch=[1];

+  );

+  ChNum=0;

+);

+if(key()=="T",//Title

+  Maketitle();

+);

+if(key()=="P",//ParaF

+  Parafolder();

+);

+if(key()=="A",//Animatefile

+  Animatefile();

+);

+if(key()=="S",//Slide 

+  Mkslides();

+);

+if(key()=="D",//Digest(Summary)

+  Mkslidesummary();

+);

+if(key()=="M",//Meshlab

+  Mkviewobj(OCNAME,OBJCMD,OCOPTION);

+);

+if(key()=="J",//KeTCindyJS

+  Mkketcindyjs();

+);

+

+if(key()=="0",

+  Dispchoice();

+);

+if(key()=="9",

+  if(length(Ch)==0,

+    Ch=[ChNum];

+  ,

+    if(!contains(Ch,ChNum),

+      Ch=append(Ch,ChNum);

+      ChNum=Ch_(length(Ch)-1);

+      Ch=remove(Ch,[ChNum]);

+      Ch=sort(Ch);

+    );

+  );

+  Dispchoice();

+);

+if(key()=="+",

+  ChNum=ChNum+1;

+  Dispchoice();

+);

+if(key()=="-",

+  ChNum=ChNum-1;

+  Dispchoice();

+);

+if(key()=="<",

+  if(length(select(Ch,#==ChNum))==0,

+    Ch=append(Ch,ChNum);

+    Ch=sort(Ch);

+    ChNum=ChNum+1;

+  );

+  Dispchoice();

+);

+if(key()=="^",

+  if(length(Ch)==0,

+    Ch=[ChNum];

+  ,

+    if(!contains(Ch,ChNum),

+      Ch=Ch_(1..(length(Ch)-1));

+      Ch=append(Ch,ChNum);

+      Ch=sort(Ch);

+    );

+  );

+  ChNum=ChNum+1;

+  Dispchoice();

+);

+if(key()=="~",

+  if(length(Ch)==0,

+    Ch=[ChNum];

+  ,

+    if(!contains(Ch,ChNum),

+      Ch=Ch_(1..(length(Ch)-1));

+      Ch=append(Ch,ChNum);

+      Ch=sort(Ch);

+    );

+  );

+  ChNum=max(ChNum-1,1);

+  Dispchoice();

+);

+if(key()==">",

+  if(length(Ch)>0,

+    ChNum=Ch_(length(Ch));

+    Ch=Remove(Ch,[ChNum]);

+  );

+  Dispchoice();

+);

diff --git a/Master/texmf-dist/doc/support/ketcindy/Scriptfigure.txt b/Master/texmf-dist/doc/support/ketcindy/Scriptfigure.txt
new file mode 100644
index 00000000000..9a330d46491
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/Scriptfigure.txt
@@ -0,0 +1,16 @@
+Ketinit();

+Texparent="";

+

+Putpoint("A",[-4,0],A.xy);

+Putpoint("B",[4,0],B.xy);

+Putpoint("C",[1,4],C.xy);

+  // points can be put with Cindy button.

+

+Listplot([A,B,C,A]);

+Plotdata("1","sin(x)","x",["da"]);

+Paramplot("1","3*[cos(3*t),sin(2*t)]","t=[0,4*pi]",["Num=200","do"]);

+

+Windispg();

+

+//Help("Plotdata");

+//Help("Option");

diff --git a/Master/texmf-dist/doc/support/ketcindy/Scriptkelib.txt b/Master/texmf-dist/doc/support/ketcindy/Scriptkelib.txt
new file mode 100644
index 00000000000..bd9197bac9d
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/Scriptkelib.txt
@@ -0,0 +1,4 @@
+use("KetCindyPlugin");

+Dircdy=loaddirectory;

+setdirectory(plugindirectory);

+import("dirhead.txt");

diff --git a/Master/texmf-dist/doc/support/ketcindy/Scriptketlibsci.txt b/Master/texmf-dist/doc/support/ketcindy/Scriptketlibsci.txt
new file mode 100644
index 00000000000..a703b64c79e
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/Scriptketlibsci.txt
@@ -0,0 +1,8 @@
+use("KetCindyPlugin");

+Dircdy=loaddirectory;

+setdirectory(plugindirectory);

+import("dirheadsci.txt");

+//PathS=replace(PathS,"6.0.0","5.5.2");

+

+//Ketinit();

+//Ketinit3d();

diff --git a/Master/texmf-dist/doc/support/ketcindy/ketmanual/CindyJS/Cindy.js b/Master/texmf-dist/doc/support/ketcindy/ketmanual/CindyJS/Cindy.js
new file mode 100644
index 00000000000..04aa2fd9134
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/ketmanual/CindyJS/Cindy.js
@@ -0,0 +1,781 @@
+/* CindyJS - (C) 2014-2016  The CindyJS Project
+ * Mostly licensed under the Apache License 2.0, but subprojects may use different licensing.
+ * See https://github.com/CindyJS/CindyJS/tree/bb244cab7fdc8d4ea030751ec40c6d384c09f464
+ * for corresponding sources and their respective licensing conditions.
+ */
+var enableInlineVideo=function(){function p(f,k,p,F){function E(p){ea=k(E,F);f(p-(K||p));K=p}var ea,K;return{start:function(){ea||E(0)},stop:function(){p(ea);ea=null;K=0}}}function E(f,k,p,F){function E(k){!!f[p]===!!F&&k.stopImmediatePropagation();delete f[p]}return f.addEventListener(k,E,!1),E}function ja(f,k,p,F){function E(f){p[k]=f}F&&E(f[k]);Object.defineProperty(f,k,{get:function(){return p[k]},set:E})}function Ca(f,k,p){p.addEventListener(k,function(){return f.dispatchEvent(new Event(k))})}
+function pa(f,k){Promise.resolve().then(function(){f.dispatchEvent(new Event(k))})}function Da(f){var k=new Audio;return Ca(f,"play",k),Ca(f,"playing",k),Ca(f,"pause",k),k.crossOrigin=f.crossOrigin,k.src=f.src||f.currentSrc||"data:",k}function aa(k,p,F){(K||0)+200<Date.now()&&(k[Ea]=!0,K=Date.now());F||(k.currentTime=p);f[++nb%3]=100*p|0}function k(f){this.video.readyState>=this.video.HAVE_FUTURE_DATA?(this.hasAudio||(this.driver.currentTime=this.video.currentTime+f*this.video.playbackRate/1E3,this.video.loop&&
+this.driver.currentTime>=this.video.duration&&(this.driver.currentTime=0)),aa(this.video,this.driver.currentTime)):this.video.networkState===this.video.NETWORK_IDLE&&0===this.video.buffered.length&&this.video.load();this.video.ended&&(delete this.video[Ea],this.video.pause(!0))}function Oa(){var f=this[W];return this.webkitDisplayingFullscreen?void this[ob]():("data:"!==f.driver.src&&f.driver.src!==this.src&&(aa(this,0,!0),f.driver.src=this.src),void(this.paused&&(f.paused=!1,0===this.buffered.length&&
+this.load(),f.driver.play(),f.updater.start(),f.hasAudio||(pa(this,"play"),f.video.readyState>=f.video.HAVE_ENOUGH_DATA&&pa(this,"playing")))))}function F(f){var k=this[W];k.driver.pause();k.updater.stop();this.webkitDisplayingFullscreen&&this[sa]();k.paused&&!f||(k.paused=!0,k.hasAudio||pa(this,"pause"),this.ended&&(this[Ea]=!0,pa(this,"ended")))}function ea(F,E){var I=F[W]={};I.paused=!0;I.hasAudio=E;I.video=F;I.updater=p(k.bind(I),requestAnimationFrame,cancelAnimationFrame);E?I.driver=Da(F):(F.addEventListener("canplay",
+function(){F.paused||pa(F,"playing")}),I.driver={src:F.src||F.currentSrc||"data:",muted:!0,paused:!0,pause:function(){I.driver.paused=!0},play:function(){I.driver.paused=!1;I.driver.currentTime>=I.video.duration&&aa(F,0)},get ended(){return I.driver.currentTime>=I.video.duration}});F.addEventListener("emptied",function(){var f=!I.driver.src||"data:"===I.driver.src;I.driver.src&&I.driver.src!==F.src&&(aa(F,0,!0),I.driver.src=F.src,f?I.driver.play():I.updater.stop())},!1);F.addEventListener("webkitbeginfullscreen",
+function(){F.paused?E&&0===I.driver.buffered.length&&I.driver.load():(F.pause(),F[ob]())});E&&(F.addEventListener("webkitendfullscreen",function(){I.driver.currentTime=F.currentTime}),F.addEventListener("seeking",function(){0>f.indexOf(100*F.currentTime|0)&&(I.driver.currentTime=F.currentTime)}))}var K,U="object"==typeof document&&"object-fit"in document.head.style&&!matchMedia("(-webkit-video-playable-inline)").matches,W="bfred-it:iphone-inline-video",Ea="bfred-it:iphone-inline-video:event",ob="bfred-it:iphone-inline-video:nativeplay",
+sa="bfred-it:iphone-inline-video:nativepause",f=[],nb=0;return function(f,k){if(void 0===k&&(k={}),!f[W])if(k.everywhere||U&&(k.iPad||k.ipad?/iPhone|iPod|iPad/:/iPhone|iPod/).test(navigator.userAgent)){!f.paused&&f.webkitDisplayingFullscreen&&f.pause();ea(f,!f.muted);var p=f[W];f[ob]=f.play;f[sa]=f.pause;f.play=Oa;f.pause=F;ja(f,"paused",p.driver);ja(f,"muted",p.driver,!0);ja(f,"playbackRate",p.driver,!0);ja(f,"ended",p.driver);ja(f,"loop",p.driver,!0);E(f,"seeking");E(f,"seeked");E(f,"timeupdate",
+Ea,!1);E(f,"ended",Ea,!1);f.classList.add("IIV");f.muted&&f.autoplay&&f.play();/iPhone|iPod|iPad/.test(navigator.platform)||console.warn("iphone-inline-video is not guaranteed to work in emulated environments")}}}();
+(function(){function p(b,d,e){f.biginteger_used=1;null!=b&&("number"==typeof b&&"undefined"==typeof d?this.fromInt(b):"number"==typeof b?this.fromNumber(b,d,e):null==d&&"string"!=typeof b?this.fromString(b,256):this.fromString(b,d))}function E(){return new p(null,void 0,void 0)}function ja(b,d,e,q,f,k){for(;0<=--k;){var v=d*this[b++]+e[q]+f;f=Math.floor(v/67108864);e[q++]=v&67108863}return f}function Ca(b,d,e,q,f,k){var v=d&32767;for(d>>=15;0<=--k;){var C=this[b]&32767,p=this[b++]>>15,F=d*C+p*v,C=
+v*C+((F&32767)<<15)+e[q]+(f&1073741823);f=(C>>>30)+(F>>>15)+d*p+(f>>>30);e[q++]=C&1073741823}return f}function pa(b,d,e,q,f,k){var v=d&16383;for(d>>=14;0<=--k;){var C=this[b]&16383,p=this[b++]>>14,F=d*C+p*v,C=v*C+((F&16383)<<14)+e[q]+f;f=(C>>28)+(F>>14)+d*p;e[q++]=C&268435455}return f}function Da(b,d){var e=cb[b.charCodeAt(d)];return null==e?-1:e}function aa(b){var d=E();d.fromInt(b);return d}function k(b){var d=1,e;0!=(e=b>>>16)&&(b=e,d+=16);0!=(e=b>>8)&&(b=e,d+=8);0!=(e=b>>4)&&(b=e,d+=4);0!=(e=
+b>>2)&&(b=e,d+=2);0!=b>>1&&(d+=1);return d}function Oa(b){this.m=b}function F(b){this.m=b;this.mp=b.invDigit();this.mpl=this.mp&32767;this.mph=this.mp>>15;this.um=(1<<b.DB-15)-1;this.mt2=2*b.t}function ea(b,d){return b&d}function K(b,d){return b|d}function U(b,d){return b^d}function W(b,d){return b&~d}function Ea(){}function ob(b){return b}function sa(b){this.r2=E();this.q3=E();p.ONE.dlShiftTo(2*b.t,this.r2);this.mu=this.r2.divide(b);this.m=b}var f={use_lines:!0,use_xyz:!1},nb=!1;"undefined"!==typeof module&&
+module.exports?(module.exports=f,nb=!0):"undefined"!==typeof document?window.ClipperLib=f:self.ClipperLib=f;var V;if(nb)Y="chrome",V="Netscape";else{var Y=navigator.userAgent.toString().toLowerCase();V=navigator.appName}var I,Xb,Jb,Qa,ab,xb;I=-1!=Y.indexOf("chrome")&&-1==Y.indexOf("chromium")?1:0;nb=-1!=Y.indexOf("chromium")?1:0;Xb=-1!=Y.indexOf("safari")&&-1==Y.indexOf("chrome")&&-1==Y.indexOf("chromium")?1:0;Jb=-1!=Y.indexOf("firefox")?1:0;Y.indexOf("firefox/17");Y.indexOf("firefox/15");Y.indexOf("firefox/3");
+Qa=-1!=Y.indexOf("opera")?1:0;Y.indexOf("msie 10");Y.indexOf("msie 9");ab=-1!=Y.indexOf("msie 8")?1:0;xb=-1!=Y.indexOf("msie 7")?1:0;Y=-1!=Y.indexOf("msie ")?1:0;f.biginteger_used=null;"Microsoft Internet Explorer"==V?(p.prototype.am=Ca,V=30):"Netscape"!=V?(p.prototype.am=ja,V=26):(p.prototype.am=pa,V=28);p.prototype.DB=V;p.prototype.DM=(1<<V)-1;p.prototype.DV=1<<V;p.prototype.FV=Math.pow(2,52);p.prototype.F1=52-V;p.prototype.F2=2*V-52;var cb=[],qa;V=48;for(qa=0;9>=qa;++qa)cb[V++]=qa;V=97;for(qa=
+10;36>qa;++qa)cb[V++]=qa;V=65;for(qa=10;36>qa;++qa)cb[V++]=qa;Oa.prototype.convert=function(b){return 0>b.s||0<=b.compareTo(this.m)?b.mod(this.m):b};Oa.prototype.revert=function(b){return b};Oa.prototype.reduce=function(b){b.divRemTo(this.m,null,b)};Oa.prototype.mulTo=function(b,d,e){b.multiplyTo(d,e);this.reduce(e)};Oa.prototype.sqrTo=function(b,d){b.squareTo(d);this.reduce(d)};F.prototype.convert=function(b){var d=E();b.abs().dlShiftTo(this.m.t,d);d.divRemTo(this.m,null,d);0>b.s&&0<d.compareTo(p.ZERO)&&
+this.m.subTo(d,d);return d};F.prototype.revert=function(b){var d=E();b.copyTo(d);this.reduce(d);return d};F.prototype.reduce=function(b){for(;b.t<=this.mt2;)b[b.t++]=0;for(var d=0;d<this.m.t;++d){var e=b[d]&32767,q=e*this.mpl+((e*this.mph+(b[d]>>15)*this.mpl&this.um)<<15)&b.DM,e=d+this.m.t;for(b[e]+=this.m.am(0,q,b,d,0,this.m.t);b[e]>=b.DV;)b[e]-=b.DV,b[++e]++}b.clamp();b.drShiftTo(this.m.t,b);0<=b.compareTo(this.m)&&b.subTo(this.m,b)};F.prototype.mulTo=function(b,d,e){b.multiplyTo(d,e);this.reduce(e)};
+F.prototype.sqrTo=function(b,d){b.squareTo(d);this.reduce(d)};p.prototype.copyTo=function(b){for(var d=this.t-1;0<=d;--d)b[d]=this[d];b.t=this.t;b.s=this.s};p.prototype.fromInt=function(b){this.t=1;this.s=0>b?-1:0;0<b?this[0]=b:-1>b?this[0]=b+this.DV:this.t=0};p.prototype.fromString=function(b,d){var e;if(16==d)e=4;else if(8==d)e=3;else if(256==d)e=8;else if(2==d)e=1;else if(32==d)e=5;else if(4==d)e=2;else{this.fromRadix(b,d);return}this.s=this.t=0;for(var q=b.length,f=!1,k=0;0<=--q;){var v=8==e?
+b[q]&255:Da(b,q);0>v?"-"==b.charAt(q)&&(f=!0):(f=!1,0==k?this[this.t++]=v:k+e>this.DB?(this[this.t-1]|=(v&(1<<this.DB-k)-1)<<k,this[this.t++]=v>>this.DB-k):this[this.t-1]|=v<<k,k+=e,k>=this.DB&&(k-=this.DB))}8==e&&0!=(b[0]&128)&&(this.s=-1,0<k&&(this[this.t-1]|=(1<<this.DB-k)-1<<k));this.clamp();f&&p.ZERO.subTo(this,this)};p.prototype.clamp=function(){for(var b=this.s&this.DM;0<this.t&&this[this.t-1]==b;)--this.t};p.prototype.dlShiftTo=function(b,d){var e;for(e=this.t-1;0<=e;--e)d[e+b]=this[e];for(e=
+b-1;0<=e;--e)d[e]=0;d.t=this.t+b;d.s=this.s};p.prototype.drShiftTo=function(b,d){for(var e=b;e<this.t;++e)d[e-b]=this[e];d.t=Math.max(this.t-b,0);d.s=this.s};p.prototype.lShiftTo=function(b,d){var e=b%this.DB,q=this.DB-e,f=(1<<q)-1,k=Math.floor(b/this.DB),v=this.s<<e&this.DM,C;for(C=this.t-1;0<=C;--C)d[C+k+1]=this[C]>>q|v,v=(this[C]&f)<<e;for(C=k-1;0<=C;--C)d[C]=0;d[k]=v;d.t=this.t+k+1;d.s=this.s;d.clamp()};p.prototype.rShiftTo=function(b,d){d.s=this.s;var e=Math.floor(b/this.DB);if(e>=this.t)d.t=
+0;else{var q=b%this.DB,f=this.DB-q,k=(1<<q)-1;d[0]=this[e]>>q;for(var v=e+1;v<this.t;++v)d[v-e-1]|=(this[v]&k)<<f,d[v-e]=this[v]>>q;0<q&&(d[this.t-e-1]|=(this.s&k)<<f);d.t=this.t-e;d.clamp()}};p.prototype.subTo=function(b,d){for(var e=0,f=0,n=Math.min(b.t,this.t);e<n;)f+=this[e]-b[e],d[e++]=f&this.DM,f>>=this.DB;if(b.t<this.t){for(f-=b.s;e<this.t;)f+=this[e],d[e++]=f&this.DM,f>>=this.DB;f+=this.s}else{for(f+=this.s;e<b.t;)f-=b[e],d[e++]=f&this.DM,f>>=this.DB;f-=b.s}d.s=0>f?-1:0;-1>f?d[e++]=this.DV+
+f:0<f&&(d[e++]=f);d.t=e;d.clamp()};p.prototype.multiplyTo=function(b,d){var e=this.abs(),f=b.abs(),n=e.t;for(d.t=n+f.t;0<=--n;)d[n]=0;for(n=0;n<f.t;++n)d[n+e.t]=e.am(0,f[n],d,n,0,e.t);d.s=0;d.clamp();this.s!=b.s&&p.ZERO.subTo(d,d)};p.prototype.squareTo=function(b){for(var d=this.abs(),e=b.t=2*d.t;0<=--e;)b[e]=0;for(e=0;e<d.t-1;++e){var f=d.am(e,d[e],b,2*e,0,1);(b[e+d.t]+=d.am(e+1,2*d[e],b,2*e+1,f,d.t-e-1))>=d.DV&&(b[e+d.t]-=d.DV,b[e+d.t+1]=1)}0<b.t&&(b[b.t-1]+=d.am(e,d[e],b,2*e,0,1));b.s=0;b.clamp()};
+p.prototype.divRemTo=function(b,d,e){var f=b.abs();if(!(0>=f.t)){var n=this.abs();if(n.t<f.t)null!=d&&d.fromInt(0),null!=e&&this.copyTo(e);else{null==e&&(e=E());var N=E(),v=this.s;b=b.s;var C=this.DB-k(f[f.t-1]);0<C?(f.lShiftTo(C,N),n.lShiftTo(C,e)):(f.copyTo(N),n.copyTo(e));f=N.t;n=N[f-1];if(0!=n){var F=n*(1<<this.F1)+(1<f?N[f-2]>>this.F2:0),bb=this.FV/F,F=(1<<this.F1)/F,pb=1<<this.F2,H=e.t,ea=H-f,K=null==d?E():d;N.dlShiftTo(ea,K);0<=e.compareTo(K)&&(e[e.t++]=1,e.subTo(K,e));p.ONE.dlShiftTo(f,K);
+for(K.subTo(N,N);N.t<f;)N[N.t++]=0;for(;0<=--ea;){var I=e[--H]==n?this.DM:Math.floor(e[H]*bb+(e[H-1]+pb)*F);if((e[H]+=N.am(0,I,e,ea,0,f))<I)for(N.dlShiftTo(ea,K),e.subTo(K,e);e[H]<--I;)e.subTo(K,e)}null!=d&&(e.drShiftTo(f,d),v!=b&&p.ZERO.subTo(d,d));e.t=f;e.clamp();0<C&&e.rShiftTo(C,e);0>v&&p.ZERO.subTo(e,e)}}}};p.prototype.invDigit=function(){if(1>this.t)return 0;var b=this[0];if(0==(b&1))return 0;var d=b&3,d=d*(2-(b&15)*d)&15,d=d*(2-(b&255)*d)&255,d=d*(2-((b&65535)*d&65535))&65535,d=d*(2-b*d%this.DV)%
+this.DV;return 0<d?this.DV-d:-d};p.prototype.isEven=function(){return 0==(0<this.t?this[0]&1:this.s)};p.prototype.exp=function(b,d){if(4294967295<b||1>b)return p.ONE;var e=E(),f=E(),n=d.convert(this),N=k(b)-1;for(n.copyTo(e);0<=--N;)if(d.sqrTo(e,f),0<(b&1<<N))d.mulTo(f,n,e);else var v=e,e=f,f=v;return d.revert(e)};p.prototype.toString=function(b){if(0>this.s)return"-"+this.negate().toString(b);if(16==b)b=4;else if(8==b)b=3;else if(2==b)b=1;else if(32==b)b=5;else if(4==b)b=2;else return this.toRadix(b);
+var d=(1<<b)-1,e,f=!1,n="",k=this.t,v=this.DB-k*this.DB%b;if(0<k--)for(v<this.DB&&0<(e=this[k]>>v)&&(f=!0,n="0123456789abcdefghijklmnopqrstuvwxyz".charAt(e));0<=k;)v<b?(e=(this[k]&(1<<v)-1)<<b-v,e|=this[--k]>>(v+=this.DB-b)):(e=this[k]>>(v-=b)&d,0>=v&&(v+=this.DB,--k)),0<e&&(f=!0),f&&(n+="0123456789abcdefghijklmnopqrstuvwxyz".charAt(e));return f?n:"0"};p.prototype.negate=function(){var b=E();p.ZERO.subTo(this,b);return b};p.prototype.abs=function(){return 0>this.s?this.negate():this};p.prototype.compareTo=
+function(b){var d=this.s-b.s;if(0!=d)return d;var e=this.t,d=e-b.t;if(0!=d)return 0>this.s?-d:d;for(;0<=--e;)if(0!=(d=this[e]-b[e]))return d;return 0};p.prototype.bitLength=function(){return 0>=this.t?0:this.DB*(this.t-1)+k(this[this.t-1]^this.s&this.DM)};p.prototype.mod=function(b){var d=E();this.abs().divRemTo(b,null,d);0>this.s&&0<d.compareTo(p.ZERO)&&b.subTo(d,d);return d};p.prototype.modPowInt=function(b,d){var e;e=256>b||d.isEven()?new Oa(d):new F(d);return this.exp(b,e)};p.ZERO=aa(0);p.ONE=
+aa(1);Ea.prototype.convert=ob;Ea.prototype.revert=ob;Ea.prototype.mulTo=function(b,d,e){b.multiplyTo(d,e)};Ea.prototype.sqrTo=function(b,d){b.squareTo(d)};sa.prototype.convert=function(b){if(0>b.s||b.t>2*this.m.t)return b.mod(this.m);if(0>b.compareTo(this.m))return b;var d=E();b.copyTo(d);this.reduce(d);return d};sa.prototype.revert=function(b){return b};sa.prototype.reduce=function(b){b.drShiftTo(this.m.t-1,this.r2);b.t>this.m.t+1&&(b.t=this.m.t+1,b.clamp());this.mu.multiplyUpperTo(this.r2,this.m.t+
+1,this.q3);for(this.m.multiplyLowerTo(this.q3,this.m.t+1,this.r2);0>b.compareTo(this.r2);)b.dAddOffset(1,this.m.t+1);for(b.subTo(this.r2,b);0<=b.compareTo(this.m);)b.subTo(this.m,b)};sa.prototype.mulTo=function(b,d,e){b.multiplyTo(d,e);this.reduce(e)};sa.prototype.sqrTo=function(b,d){b.squareTo(d);this.reduce(d)};var H=[2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,53,59,61,67,71,73,79,83,89,97,101,103,107,109,113,127,131,137,139,149,151,157,163,167,173,179,181,191,193,197,199,211,223,227,229,233,239,
+241,251,257,263,269,271,277,281,283,293,307,311,313,317,331,337,347,349,353,359,367,373,379,383,389,397,401,409,419,421,431,433,439,443,449,457,461,463,467,479,487,491,499,503,509,521,523,541,547,557,563,569,571,577,587,593,599,601,607,613,617,619,631,641,643,647,653,659,661,673,677,683,691,701,709,719,727,733,739,743,751,757,761,769,773,787,797,809,811,821,823,827,829,839,853,857,859,863,877,881,883,887,907,911,919,929,937,941,947,953,967,971,977,983,991,997],Zb=67108864/H[H.length-1];p.prototype.chunkSize=
+function(b){return Math.floor(Math.LN2*this.DB/Math.log(b))};p.prototype.toRadix=function(b){null==b&&(b=10);if(0==this.signum()||2>b||36<b)return"0";var d=this.chunkSize(b),d=Math.pow(b,d),e=aa(d),f=E(),n=E(),k="";for(this.divRemTo(e,f,n);0<f.signum();)k=(d+n.intValue()).toString(b).substr(1)+k,f.divRemTo(e,f,n);return n.intValue().toString(b)+k};p.prototype.fromRadix=function(b,d){this.fromInt(0);null==d&&(d=10);for(var e=this.chunkSize(d),f=Math.pow(d,e),n=!1,k=0,v=0,C=0;C<b.length;++C){var F=
+Da(b,C);0>F?"-"==b.charAt(C)&&0==this.signum()&&(n=!0):(v=d*v+F,++k>=e&&(this.dMultiply(f),this.dAddOffset(v,0),v=k=0))}0<k&&(this.dMultiply(Math.pow(d,k)),this.dAddOffset(v,0));n&&p.ZERO.subTo(this,this)};p.prototype.fromNumber=function(b,d,e){if("number"==typeof d)if(2>b)this.fromInt(1);else for(this.fromNumber(b,e),this.testBit(b-1)||this.bitwiseTo(p.ONE.shiftLeft(b-1),K,this),this.isEven()&&this.dAddOffset(1,0);!this.isProbablePrime(d);)this.dAddOffset(2,0),this.bitLength()>b&&this.subTo(p.ONE.shiftLeft(b-
+1),this);else{e=[];var f=b&7;e.length=(b>>3)+1;d.nextBytes(e);e[0]=0<f?e[0]&(1<<f)-1:0;this.fromString(e,256)}};p.prototype.bitwiseTo=function(b,d,e){var f,n,k=Math.min(b.t,this.t);for(f=0;f<k;++f)e[f]=d(this[f],b[f]);if(b.t<this.t){n=b.s&this.DM;for(f=k;f<this.t;++f)e[f]=d(this[f],n);e.t=this.t}else{n=this.s&this.DM;for(f=k;f<b.t;++f)e[f]=d(n,b[f]);e.t=b.t}e.s=d(this.s,b.s);e.clamp()};p.prototype.changeBit=function(b,d){var e=p.ONE.shiftLeft(b);this.bitwiseTo(e,d,e);return e};p.prototype.addTo=function(b,
+d){for(var e=0,f=0,n=Math.min(b.t,this.t);e<n;)f+=this[e]+b[e],d[e++]=f&this.DM,f>>=this.DB;if(b.t<this.t){for(f+=b.s;e<this.t;)f+=this[e],d[e++]=f&this.DM,f>>=this.DB;f+=this.s}else{for(f+=this.s;e<b.t;)f+=b[e],d[e++]=f&this.DM,f>>=this.DB;f+=b.s}d.s=0>f?-1:0;0<f?d[e++]=f:-1>f&&(d[e++]=this.DV+f);d.t=e;d.clamp()};p.prototype.dMultiply=function(b){this[this.t]=this.am(0,b-1,this,0,0,this.t);++this.t;this.clamp()};p.prototype.dAddOffset=function(b,d){if(0!=b){for(;this.t<=d;)this[this.t++]=0;for(this[d]+=
+b;this[d]>=this.DV;)this[d]-=this.DV,++d>=this.t&&(this[this.t++]=0),++this[d]}};p.prototype.multiplyLowerTo=function(b,d,e){var f=Math.min(this.t+b.t,d);e.s=0;for(e.t=f;0<f;)e[--f]=0;var n;for(n=e.t-this.t;f<n;++f)e[f+this.t]=this.am(0,b[f],e,f,0,this.t);for(n=Math.min(b.t,d);f<n;++f)this.am(0,b[f],e,f,0,d-f);e.clamp()};p.prototype.multiplyUpperTo=function(b,d,e){--d;var f=e.t=this.t+b.t-d;for(e.s=0;0<=--f;)e[f]=0;for(f=Math.max(d-this.t,0);f<b.t;++f)e[this.t+f-d]=this.am(d-f,b[f],e,0,0,this.t+f-
+d);e.clamp();e.drShiftTo(1,e)};p.prototype.modInt=function(b){if(0>=b)return 0;var d=this.DV%b,e=0>this.s?b-1:0;if(0<this.t)if(0==d)e=this[0]%b;else for(var f=this.t-1;0<=f;--f)e=(d*e+this[f])%b;return e};p.prototype.millerRabin=function(b){var d=this.subtract(p.ONE),e=d.getLowestSetBit();if(0>=e)return!1;var f=d.shiftRight(e);b=b+1>>1;b>H.length&&(b=H.length);for(var n=E(),k=0;k<b;++k){n.fromInt(H[Math.floor(Math.random()*H.length)]);var v=n.modPow(f,this);if(0!=v.compareTo(p.ONE)&&0!=v.compareTo(d)){for(var C=
+1;C++<e&&0!=v.compareTo(d);)if(v=v.modPowInt(2,this),0==v.compareTo(p.ONE))return!1;if(0!=v.compareTo(d))return!1}}return!0};p.prototype.clone=function(){var b=E();this.copyTo(b);return b};p.prototype.intValue=function(){if(0>this.s){if(1==this.t)return this[0]-this.DV;if(0==this.t)return-1}else{if(1==this.t)return this[0];if(0==this.t)return 0}return(this[1]&(1<<32-this.DB)-1)<<this.DB|this[0]};p.prototype.byteValue=function(){return 0==this.t?this.s:this[0]<<24>>24};p.prototype.shortValue=function(){return 0==
+this.t?this.s:this[0]<<16>>16};p.prototype.signum=function(){return 0>this.s?-1:0>=this.t||1==this.t&&0>=this[0]?0:1};p.prototype.toByteArray=function(){var b=this.t,d=[];d[0]=this.s;var e=this.DB-b*this.DB%8,f,n=0;if(0<b--)for(e<this.DB&&(f=this[b]>>e)!=(this.s&this.DM)>>e&&(d[n++]=f|this.s<<this.DB-e);0<=b;)if(8>e?(f=(this[b]&(1<<e)-1)<<8-e,f|=this[--b]>>(e+=this.DB-8)):(f=this[b]>>(e-=8)&255,0>=e&&(e+=this.DB,--b)),0!=(f&128)&&(f|=-256),0==n&&(this.s&128)!=(f&128)&&++n,0<n||f!=this.s)d[n++]=f;
+return d};p.prototype.equals=function(b){return 0==this.compareTo(b)};p.prototype.min=function(b){return 0>this.compareTo(b)?this:b};p.prototype.max=function(b){return 0<this.compareTo(b)?this:b};p.prototype.and=function(b){var d=E();this.bitwiseTo(b,ea,d);return d};p.prototype.or=function(b){var d=E();this.bitwiseTo(b,K,d);return d};p.prototype.xor=function(b){var d=E();this.bitwiseTo(b,U,d);return d};p.prototype.andNot=function(b){var d=E();this.bitwiseTo(b,W,d);return d};p.prototype.not=function(){for(var b=
+E(),d=0;d<this.t;++d)b[d]=this.DM&~this[d];b.t=this.t;b.s=~this.s;return b};p.prototype.shiftLeft=function(b){var d=E();0>b?this.rShiftTo(-b,d):this.lShiftTo(b,d);return d};p.prototype.shiftRight=function(b){var d=E();0>b?this.lShiftTo(-b,d):this.rShiftTo(b,d);return d};p.prototype.getLowestSetBit=function(){for(var b=0;b<this.t;++b)if(0!=this[b]){var d=b*this.DB,b=this[b];if(0==b)b=-1;else{var e=0;0==(b&65535)&&(b>>=16,e+=16);0==(b&255)&&(b>>=8,e+=8);0==(b&15)&&(b>>=4,e+=4);0==(b&3)&&(b>>=2,e+=2);
+0==(b&1)&&++e;b=e}return d+b}return 0>this.s?this.t*this.DB:-1};p.prototype.bitCount=function(){for(var b=0,d=this.s&this.DM,e=0;e<this.t;++e){for(var f=this[e]^d,n=0;0!=f;)f&=f-1,++n;b+=n}return b};p.prototype.testBit=function(b){var d=Math.floor(b/this.DB);return d>=this.t?0!=this.s:0!=(this[d]&1<<b%this.DB)};p.prototype.setBit=function(b){return this.changeBit(b,K)};p.prototype.clearBit=function(b){return this.changeBit(b,W)};p.prototype.flipBit=function(b){return this.changeBit(b,U)};p.prototype.add=
+function(b){var d=E();this.addTo(b,d);return d};p.prototype.subtract=function(b){var d=E();this.subTo(b,d);return d};p.prototype.multiply=function(b){var d=E();this.multiplyTo(b,d);return d};p.prototype.divide=function(b){var d=E();this.divRemTo(b,d,null);return d};p.prototype.remainder=function(b){var d=E();this.divRemTo(b,null,d);return d};p.prototype.divideAndRemainder=function(b){var d=E(),e=E();this.divRemTo(b,d,e);return[d,e]};p.prototype.modPow=function(b,d){var e=b.bitLength(),f,n=aa(1),N;
+if(0>=e)return n;f=18>e?1:48>e?3:144>e?4:768>e?5:6;N=8>e?new Oa(d):d.isEven()?new sa(d):new F(d);var v=[],C=3,p=f-1,bb=(1<<f)-1;v[1]=N.convert(this);if(1<f)for(e=E(),N.sqrTo(v[1],e);C<=bb;)v[C]=E(),N.mulTo(e,v[C-2],v[C]),C+=2;for(var H=b.t-1,K,ea=!0,I=E(),e=k(b[H])-1;0<=H;){e>=p?K=b[H]>>e-p&bb:(K=(b[H]&(1<<e+1)-1)<<p-e,0<H&&(K|=b[H-1]>>this.DB+e-p));for(C=f;0==(K&1);)K>>=1,--C;0>(e-=C)&&(e+=this.DB,--H);if(ea)v[K].copyTo(n),ea=!1;else{for(;1<C;)N.sqrTo(n,I),N.sqrTo(I,n),C-=2;0<C?N.sqrTo(n,I):(C=n,
+n=I,I=C);N.mulTo(I,v[K],n)}for(;0<=H&&0==(b[H]&1<<e);)N.sqrTo(n,I),C=n,n=I,I=C,0>--e&&(e=this.DB-1,--H)}return N.revert(n)};p.prototype.modInverse=function(b){var d=b.isEven();if(this.isEven()&&d||0==b.signum())return p.ZERO;for(var e=b.clone(),f=this.clone(),n=aa(1),k=aa(0),v=aa(0),C=aa(1);0!=e.signum();){for(;e.isEven();)e.rShiftTo(1,e),d?(n.isEven()&&k.isEven()||(n.addTo(this,n),k.subTo(b,k)),n.rShiftTo(1,n)):k.isEven()||k.subTo(b,k),k.rShiftTo(1,k);for(;f.isEven();)f.rShiftTo(1,f),d?(v.isEven()&&
+C.isEven()||(v.addTo(this,v),C.subTo(b,C)),v.rShiftTo(1,v)):C.isEven()||C.subTo(b,C),C.rShiftTo(1,C);0<=e.compareTo(f)?(e.subTo(f,e),d&&n.subTo(v,n),k.subTo(C,k)):(f.subTo(e,f),d&&v.subTo(n,v),C.subTo(k,C))}if(0!=f.compareTo(p.ONE))return p.ZERO;if(0<=C.compareTo(b))return C.subtract(b);if(0>C.signum())C.addTo(b,C);else return C;return 0>C.signum()?C.add(b):C};p.prototype.pow=function(b){return this.exp(b,new Ea)};p.prototype.gcd=function(b){var d=0>this.s?this.negate():this.clone();b=0>b.s?b.negate():
+b.clone();if(0>d.compareTo(b)){var e=d,d=b;b=e}var e=d.getLowestSetBit(),f=b.getLowestSetBit();if(0>f)return d;e<f&&(f=e);for(0<f&&(d.rShiftTo(f,d),b.rShiftTo(f,b));0<d.signum();)0<(e=d.getLowestSetBit())&&d.rShiftTo(e,d),0<(e=b.getLowestSetBit())&&b.rShiftTo(e,b),0<=d.compareTo(b)?(d.subTo(b,d),d.rShiftTo(1,d)):(b.subTo(d,b),b.rShiftTo(1,b));0<f&&b.lShiftTo(f,b);return b};p.prototype.isProbablePrime=function(b){var d,e=this.abs();if(1==e.t&&e[0]<=H[H.length-1]){for(d=0;d<H.length;++d)if(e[0]==H[d])return!0;
+return!1}if(e.isEven())return!1;for(d=1;d<H.length;){for(var f=H[d],n=d+1;n<H.length&&f<Zb;)f*=H[n++];for(f=e.modInt(f);d<n;)if(0==f%H[d++])return!1}return e.millerRabin(b)};p.prototype.square=function(){var b=E();this.squareTo(b);return b};p.prototype.IsNegative=function(){return-1==this.compareTo(p.ZERO)?!0:!1};p.op_Equality=function(b,d){return 0==b.compareTo(d)?!0:!1};p.op_Inequality=function(b,d){return 0!=b.compareTo(d)?!0:!1};p.op_GreaterThan=function(b,d){return 0<b.compareTo(d)?!0:!1};p.op_LessThan=
+function(b,d){return 0>b.compareTo(d)?!0:!1};p.op_Addition=function(b,d){return(new p(b)).add(new p(d))};p.op_Subtraction=function(b,d){return(new p(b)).subtract(new p(d))};p.Int128Mul=function(b,d){return(new p(b)).multiply(new p(d))};p.op_Division=function(b,d){return b.divide(d)};p.prototype.ToDouble=function(){return parseFloat(this.toString())};V=function(b,d){var e;if("undefined"==typeof Object.getOwnPropertyNames)for(e in d.prototype){if("undefined"==typeof b.prototype[e]||b.prototype[e]==
+Object.prototype[e])b.prototype[e]=d.prototype[e]}else for(var f=Object.getOwnPropertyNames(d.prototype),n=0;n<f.length;n++)"undefined"==typeof Object.getOwnPropertyDescriptor(b.prototype,f[n])&&Object.defineProperty(b.prototype,f[n],Object.getOwnPropertyDescriptor(d.prototype,f[n]));for(e in d)"undefined"==typeof b[e]&&(b[e]=d[e]);b.$baseCtor=d};f.Path=function(){return[]};f.Paths=function(){return[]};f.DoublePoint=function(){var b=arguments;this.Y=this.X=0;1==b.length?(this.X=b[0].X,this.Y=b[0].Y):
+2==b.length&&(this.X=b[0],this.Y=b[1])};f.DoublePoint0=function(){this.Y=this.X=0};f.DoublePoint1=function(b){this.X=b.X;this.Y=b.Y};f.DoublePoint2=function(b,d){this.X=b;this.Y=d};f.PolyNode=function(){this.m_Parent=null;this.m_polygon=new f.Path;this.m_endtype=this.m_jointype=this.m_Index=0;this.m_Childs=[];this.IsOpen=!1};f.PolyNode.prototype.IsHoleNode=function(){for(var b=!0,d=this.m_Parent;null!==d;)b=!b,d=d.m_Parent;return b};f.PolyNode.prototype.ChildCount=function(){return this.m_Childs.length};
+f.PolyNode.prototype.Contour=function(){return this.m_polygon};f.PolyNode.prototype.AddChild=function(b){var d=this.m_Childs.length;this.m_Childs.push(b);b.m_Parent=this;b.m_Index=d};f.PolyNode.prototype.GetNext=function(){return 0<this.m_Childs.length?this.m_Childs[0]:this.GetNextSiblingUp()};f.PolyNode.prototype.GetNextSiblingUp=function(){return null===this.m_Parent?null:this.m_Index==this.m_Parent.m_Childs.length-1?this.m_Parent.GetNextSiblingUp():this.m_Parent.m_Childs[this.m_Index+1]};f.PolyNode.prototype.Childs=
+function(){return this.m_Childs};f.PolyNode.prototype.Parent=function(){return this.m_Parent};f.PolyNode.prototype.IsHole=function(){return this.IsHoleNode()};f.PolyTree=function(){this.m_AllPolys=[];f.PolyNode.call(this)};f.PolyTree.prototype.Clear=function(){for(var b=0,d=this.m_AllPolys.length;b<d;b++)this.m_AllPolys[b]=null;this.m_AllPolys.length=0;this.m_Childs.length=0};f.PolyTree.prototype.GetFirst=function(){return 0<this.m_Childs.length?this.m_Childs[0]:null};f.PolyTree.prototype.Total=function(){var b=
+this.m_AllPolys.length;0<b&&this.m_Childs[0]!=this.m_AllPolys[0]&&b--;return b};V(f.PolyTree,f.PolyNode);f.Math_Abs_Int64=f.Math_Abs_Int32=f.Math_Abs_Double=function(b){return Math.abs(b)};f.Math_Max_Int32_Int32=function(b,d){return Math.max(b,d)};f.Cast_Int32=Y||Qa||Xb?function(b){return b|0}:function(b){return~~b};f.Cast_Int64=I?function(b){return-2147483648>b||2147483647<b?0>b?Math.ceil(b):Math.floor(b):~~b}:Jb&&"function"==typeof Number.toInteger?function(b){return Number.toInteger(b)}:xb||ab?
+function(b){return parseInt(b,10)}:Y?function(b){return-2147483648>b||2147483647<b?0>b?Math.ceil(b):Math.floor(b):b|0}:function(b){return 0>b?Math.ceil(b):Math.floor(b)};f.Clear=function(b){b.length=0};f.PI=3.141592653589793;f.PI2=6.283185307179586;f.IntPoint=function(){var b=arguments,d=b.length;this.Y=this.X=0;f.use_xyz?(this.Z=0,3==d?(this.X=b[0],this.Y=b[1],this.Z=b[2]):2==d?(this.X=b[0],this.Y=b[1],this.Z=0):1==d?b[0]instanceof f.DoublePoint?(b=b[0],this.X=f.Clipper.Round(b.X),this.Y=f.Clipper.Round(b.Y),
+this.Z=0):(b=b[0],"undefined"==typeof b.Z&&(b.Z=0),this.X=b.X,this.Y=b.Y,this.Z=b.Z):this.Z=this.Y=this.X=0):2==d?(this.X=b[0],this.Y=b[1]):1==d?b[0]instanceof f.DoublePoint?(b=b[0],this.X=f.Clipper.Round(b.X),this.Y=f.Clipper.Round(b.Y)):(b=b[0],this.X=b.X,this.Y=b.Y):this.Y=this.X=0};f.IntPoint.op_Equality=function(b,d){return b.X==d.X&&b.Y==d.Y};f.IntPoint.op_Inequality=function(b,d){return b.X!=d.X||b.Y!=d.Y};f.use_xyz?(f.IntPoint0=function(){this.Z=this.Y=this.X=0},f.IntPoint1=function(b){this.X=
+b.X;this.Y=b.Y;this.Z=b.Z},f.IntPoint1dp=function(b){this.X=f.Clipper.Round(b.X);this.Y=f.Clipper.Round(b.Y);this.Z=0},f.IntPoint2=function(b,d){this.X=b;this.Y=d;this.Z=0},f.IntPoint3=function(b,d,e){this.X=b;this.Y=d;this.Z=e}):(f.IntPoint0=function(){this.Y=this.X=0},f.IntPoint1=function(b){this.X=b.X;this.Y=b.Y},f.IntPoint1dp=function(b){this.X=f.Clipper.Round(b.X);this.Y=f.Clipper.Round(b.Y)},f.IntPoint2=function(b,d){this.X=b;this.Y=d});f.IntRect=function(){var b=arguments,d=b.length;4==d?(this.left=
+b[0],this.top=b[1],this.right=b[2],this.bottom=b[3]):1==d?(this.left=b[0].left,this.top=b[0].top,this.right=b[0].right,this.bottom=b[0].bottom):this.bottom=this.right=this.top=this.left=0};f.IntRect0=function(){this.bottom=this.right=this.top=this.left=0};f.IntRect1=function(b){this.left=b.left;this.top=b.top;this.right=b.right;this.bottom=b.bottom};f.IntRect4=function(b,d,e,f){this.left=b;this.top=d;this.right=e;this.bottom=f};f.ClipType={ctIntersection:0,ctUnion:1,ctDifference:2,ctXor:3};f.PolyType=
+{ptSubject:0,ptClip:1};f.PolyFillType={pftEvenOdd:0,pftNonZero:1,pftPositive:2,pftNegative:3};f.JoinType={jtSquare:0,jtRound:1,jtMiter:2};f.EndType={etOpenSquare:0,etOpenRound:1,etOpenButt:2,etClosedLine:3,etClosedPolygon:4};f.EdgeSide={esLeft:0,esRight:1};f.Direction={dRightToLeft:0,dLeftToRight:1};f.TEdge=function(){this.Bot=new f.IntPoint;this.Curr=new f.IntPoint;this.Top=new f.IntPoint;this.Delta=new f.IntPoint;this.Dx=0;this.PolyTyp=f.PolyType.ptSubject;this.Side=f.EdgeSide.esLeft;this.OutIdx=
+this.WindCnt2=this.WindCnt=this.WindDelta=0;this.PrevInSEL=this.NextInSEL=this.PrevInAEL=this.NextInAEL=this.NextInLML=this.Prev=this.Next=null};f.IntersectNode=function(){this.Edge2=this.Edge1=null;this.Pt=new f.IntPoint};f.MyIntersectNodeSort=function(){};f.MyIntersectNodeSort.Compare=function(b,d){var e=d.Pt.Y-b.Pt.Y;return 0<e?1:0>e?-1:0};f.LocalMinima=function(){this.Y=0;this.Next=this.RightBound=this.LeftBound=null};f.Scanbeam=function(){this.Y=0;this.Next=null};f.OutRec=function(){this.Idx=
+0;this.IsOpen=this.IsHole=!1;this.PolyNode=this.BottomPt=this.Pts=this.FirstLeft=null};f.OutPt=function(){this.Idx=0;this.Pt=new f.IntPoint;this.Prev=this.Next=null};f.Join=function(){this.OutPt2=this.OutPt1=null;this.OffPt=new f.IntPoint};f.ClipperBase=function(){this.m_CurrentLM=this.m_MinimaList=null;this.m_edges=[];this.PreserveCollinear=this.m_HasOpenPaths=this.m_UseFullRange=!1;this.m_CurrentLM=this.m_MinimaList=null;this.m_HasOpenPaths=this.m_UseFullRange=!1};f.ClipperBase.horizontal=-9007199254740992;
+f.ClipperBase.Skip=-2;f.ClipperBase.Unassigned=-1;f.ClipperBase.tolerance=1E-20;f.ClipperBase.loRange=47453132;f.ClipperBase.hiRange=0xfffffffffffff;f.ClipperBase.near_zero=function(b){return b>-f.ClipperBase.tolerance&&b<f.ClipperBase.tolerance};f.ClipperBase.IsHorizontal=function(b){return 0===b.Delta.Y};f.ClipperBase.prototype.PointIsVertex=function(b,d){var e=d;do{if(f.IntPoint.op_Equality(e.Pt,b))return!0;e=e.Next}while(e!=d);return!1};f.ClipperBase.prototype.PointOnLineSegment=function(b,d,
+e,f){return f?b.X==d.X&&b.Y==d.Y||b.X==e.X&&b.Y==e.Y||b.X>d.X==b.X<e.X&&b.Y>d.Y==b.Y<e.Y&&p.op_Equality(p.Int128Mul(b.X-d.X,e.Y-d.Y),p.Int128Mul(e.X-d.X,b.Y-d.Y)):b.X==d.X&&b.Y==d.Y||b.X==e.X&&b.Y==e.Y||b.X>d.X==b.X<e.X&&b.Y>d.Y==b.Y<e.Y&&(b.X-d.X)*(e.Y-d.Y)==(e.X-d.X)*(b.Y-d.Y)};f.ClipperBase.prototype.PointOnPolygon=function(b,d,e){for(var f=d;;){if(this.PointOnLineSegment(b,f.Pt,f.Next.Pt,e))return!0;f=f.Next;if(f==d)break}return!1};f.ClipperBase.prototype.SlopesEqual=f.ClipperBase.SlopesEqual=
+function(){var b=arguments,d=b.length,e,q,n;if(3==d)return d=b[0],e=b[1],b[2]?p.op_Equality(p.Int128Mul(d.Delta.Y,e.Delta.X),p.Int128Mul(d.Delta.X,e.Delta.Y)):f.Cast_Int64(d.Delta.Y*e.Delta.X)==f.Cast_Int64(d.Delta.X*e.Delta.Y);if(4==d)return d=b[0],e=b[1],q=b[2],b[3]?p.op_Equality(p.Int128Mul(d.Y-e.Y,e.X-q.X),p.Int128Mul(d.X-e.X,e.Y-q.Y)):0===f.Cast_Int64((d.Y-e.Y)*(e.X-q.X))-f.Cast_Int64((d.X-e.X)*(e.Y-q.Y));d=b[0];e=b[1];q=b[2];n=b[3];return b[4]?p.op_Equality(p.Int128Mul(d.Y-e.Y,q.X-n.X),p.Int128Mul(d.X-
+e.X,q.Y-n.Y)):0===f.Cast_Int64((d.Y-e.Y)*(q.X-n.X))-f.Cast_Int64((d.X-e.X)*(q.Y-n.Y))};f.ClipperBase.SlopesEqual3=function(b,d,e){return e?p.op_Equality(p.Int128Mul(b.Delta.Y,d.Delta.X),p.Int128Mul(b.Delta.X,d.Delta.Y)):f.Cast_Int64(b.Delta.Y*d.Delta.X)==f.Cast_Int64(b.Delta.X*d.Delta.Y)};f.ClipperBase.SlopesEqual4=function(b,d,e,q){return q?p.op_Equality(p.Int128Mul(b.Y-d.Y,d.X-e.X),p.Int128Mul(b.X-d.X,d.Y-e.Y)):0===f.Cast_Int64((b.Y-d.Y)*(d.X-e.X))-f.Cast_Int64((b.X-d.X)*(d.Y-e.Y))};f.ClipperBase.SlopesEqual5=
+function(b,d,e,q,n){return n?p.op_Equality(p.Int128Mul(b.Y-d.Y,e.X-q.X),p.Int128Mul(b.X-d.X,e.Y-q.Y)):0===f.Cast_Int64((b.Y-d.Y)*(e.X-q.X))-f.Cast_Int64((b.X-d.X)*(e.Y-q.Y))};f.ClipperBase.prototype.Clear=function(){this.DisposeLocalMinimaList();for(var b=0,d=this.m_edges.length;b<d;++b){for(var e=0,q=this.m_edges[b].length;e<q;++e)this.m_edges[b][e]=null;f.Clear(this.m_edges[b])}f.Clear(this.m_edges);this.m_HasOpenPaths=this.m_UseFullRange=!1};f.ClipperBase.prototype.DisposeLocalMinimaList=function(){for(;null!==
+this.m_MinimaList;){var b=this.m_MinimaList.Next;this.m_MinimaList=null;this.m_MinimaList=b}this.m_CurrentLM=null};f.ClipperBase.prototype.RangeTest=function(b,d){if(d.Value)(b.X>f.ClipperBase.hiRange||b.Y>f.ClipperBase.hiRange||-b.X>f.ClipperBase.hiRange||-b.Y>f.ClipperBase.hiRange)&&f.Error("Coordinate outside allowed range in RangeTest().");else if(b.X>f.ClipperBase.loRange||b.Y>f.ClipperBase.loRange||-b.X>f.ClipperBase.loRange||-b.Y>f.ClipperBase.loRange)d.Value=!0,this.RangeTest(b,d)};f.ClipperBase.prototype.InitEdge=
+function(b,d,e,q){b.Next=d;b.Prev=e;b.Curr.X=q.X;b.Curr.Y=q.Y;f.use_xyz&&(b.Curr.Z=q.Z);b.OutIdx=-1};f.ClipperBase.prototype.InitEdge2=function(b,d){b.Curr.Y>=b.Next.Curr.Y?(b.Bot.X=b.Curr.X,b.Bot.Y=b.Curr.Y,f.use_xyz&&(b.Bot.Z=b.Curr.Z),b.Top.X=b.Next.Curr.X,b.Top.Y=b.Next.Curr.Y,f.use_xyz&&(b.Top.Z=b.Next.Curr.Z)):(b.Top.X=b.Curr.X,b.Top.Y=b.Curr.Y,f.use_xyz&&(b.Top.Z=b.Curr.Z),b.Bot.X=b.Next.Curr.X,b.Bot.Y=b.Next.Curr.Y,f.use_xyz&&(b.Bot.Z=b.Next.Curr.Z));this.SetDx(b);b.PolyTyp=d};f.ClipperBase.prototype.FindNextLocMin=
+function(b){for(var d;;){for(;f.IntPoint.op_Inequality(b.Bot,b.Prev.Bot)||f.IntPoint.op_Equality(b.Curr,b.Top);)b=b.Next;if(b.Dx!=f.ClipperBase.horizontal&&b.Prev.Dx!=f.ClipperBase.horizontal)break;for(;b.Prev.Dx==f.ClipperBase.horizontal;)b=b.Prev;for(d=b;b.Dx==f.ClipperBase.horizontal;)b=b.Next;if(b.Top.Y!=b.Prev.Bot.Y){d.Prev.Bot.X<b.Bot.X&&(b=d);break}}return b};f.ClipperBase.prototype.ProcessBound=function(b,d){var e,q=b,n;if(q.OutIdx==f.ClipperBase.Skip){b=q;if(d){for(;b.Top.Y==b.Next.Bot.Y;)b=
+b.Next;for(;b!=q&&b.Dx==f.ClipperBase.horizontal;)b=b.Prev}else{for(;b.Top.Y==b.Prev.Bot.Y;)b=b.Prev;for(;b!=q&&b.Dx==f.ClipperBase.horizontal;)b=b.Next}b==q?q=d?b.Next:b.Prev:(b=d?q.Next:q.Prev,e=new f.LocalMinima,e.Next=null,e.Y=b.Bot.Y,e.LeftBound=null,e.RightBound=b,b.WindDelta=0,q=this.ProcessBound(b,d),this.InsertLocalMinima(e));return q}b.Dx==f.ClipperBase.horizontal&&(e=d?b.Prev:b.Next,e.OutIdx!=f.ClipperBase.Skip&&(e.Dx==f.ClipperBase.horizontal?e.Bot.X!=b.Bot.X&&e.Top.X!=b.Bot.X&&this.ReverseHorizontal(b):
+e.Bot.X!=b.Bot.X&&this.ReverseHorizontal(b)));e=b;if(d){for(;q.Top.Y==q.Next.Bot.Y&&q.Next.OutIdx!=f.ClipperBase.Skip;)q=q.Next;if(q.Dx==f.ClipperBase.horizontal&&q.Next.OutIdx!=f.ClipperBase.Skip){for(n=q;n.Prev.Dx==f.ClipperBase.horizontal;)n=n.Prev;n.Prev.Top.X==q.Next.Top.X?d||(q=n.Prev):n.Prev.Top.X>q.Next.Top.X&&(q=n.Prev)}for(;b!=q;)b.NextInLML=b.Next,b.Dx==f.ClipperBase.horizontal&&b!=e&&b.Bot.X!=b.Prev.Top.X&&this.ReverseHorizontal(b),b=b.Next;b.Dx==f.ClipperBase.horizontal&&b!=e&&b.Bot.X!=
+b.Prev.Top.X&&this.ReverseHorizontal(b);q=q.Next}else{for(;q.Top.Y==q.Prev.Bot.Y&&q.Prev.OutIdx!=f.ClipperBase.Skip;)q=q.Prev;if(q.Dx==f.ClipperBase.horizontal&&q.Prev.OutIdx!=f.ClipperBase.Skip){for(n=q;n.Next.Dx==f.ClipperBase.horizontal;)n=n.Next;n.Next.Top.X==q.Prev.Top.X?d||(q=n.Next):n.Next.Top.X>q.Prev.Top.X&&(q=n.Next)}for(;b!=q;)b.NextInLML=b.Prev,b.Dx==f.ClipperBase.horizontal&&b!=e&&b.Bot.X!=b.Next.Top.X&&this.ReverseHorizontal(b),b=b.Prev;b.Dx==f.ClipperBase.horizontal&&b!=e&&b.Bot.X!=
+b.Next.Top.X&&this.ReverseHorizontal(b);q=q.Prev}return q};f.ClipperBase.prototype.AddPath=function(b,d,e){f.use_lines?e||d!=f.PolyType.ptClip||f.Error("AddPath: Open paths must be subject."):e||f.Error("AddPath: Open paths have been disabled.");var q=b.length-1;if(e)for(;0<q&&f.IntPoint.op_Equality(b[q],b[0]);)--q;for(;0<q&&f.IntPoint.op_Equality(b[q],b[q-1]);)--q;if(e&&2>q||!e&&1>q)return!1;for(var n=[],k=0;k<=q;k++)n.push(new f.TEdge);var v=!0;n[1].Curr.X=b[1].X;n[1].Curr.Y=b[1].Y;f.use_xyz&&(n[1].Curr.Z=
+b[1].Z);var C={Value:this.m_UseFullRange};this.RangeTest(b[0],C);this.m_UseFullRange=C.Value;C.Value=this.m_UseFullRange;this.RangeTest(b[q],C);this.m_UseFullRange=C.Value;this.InitEdge(n[0],n[1],n[q],b[0]);this.InitEdge(n[q],n[0],n[q-1],b[q]);for(k=q-1;1<=k;--k)C.Value=this.m_UseFullRange,this.RangeTest(b[k],C),this.m_UseFullRange=C.Value,this.InitEdge(n[k],n[k+1],n[k-1],b[k]);for(k=b=q=n[0];;)if(b.Curr!=b.Next.Curr||!e&&b.Next==q){if(b.Prev==b.Next)break;else if(e&&f.ClipperBase.SlopesEqual(b.Prev.Curr,
+b.Curr,b.Next.Curr,this.m_UseFullRange)&&(!this.PreserveCollinear||!this.Pt2IsBetweenPt1AndPt3(b.Prev.Curr,b.Curr,b.Next.Curr))){b==q&&(q=b.Next);b=this.RemoveEdge(b);k=b=b.Prev;continue}b=b.Next;if(b==k||!e&&b.Next==q)break}else{if(b==b.Next)break;b==q&&(q=b.Next);k=b=this.RemoveEdge(b)}if(!e&&b==b.Next||e&&b.Prev==b.Next)return!1;e||(this.m_HasOpenPaths=!0,q.Prev.OutIdx=f.ClipperBase.Skip);b=q;do this.InitEdge2(b,d),b=b.Next,v&&b.Curr.Y!=q.Curr.Y&&(v=!1);while(b!=q);if(v){if(e)return!1;b.Prev.OutIdx=
+f.ClipperBase.Skip;b.Prev.Bot.X<b.Prev.Top.X&&this.ReverseHorizontal(b.Prev);d=new f.LocalMinima;d.Next=null;d.Y=b.Bot.Y;d.LeftBound=null;d.RightBound=b;d.RightBound.Side=f.EdgeSide.esRight;for(d.RightBound.WindDelta=0;b.Next.OutIdx!=f.ClipperBase.Skip;)b.NextInLML=b.Next,b.Bot.X!=b.Prev.Top.X&&this.ReverseHorizontal(b),b=b.Next;this.InsertLocalMinima(d);this.m_edges.push(n);return!0}this.m_edges.push(n);v=null;for(f.IntPoint.op_Equality(b.Prev.Bot,b.Prev.Top)&&(b=b.Next);;){b=this.FindNextLocMin(b);
+if(b==v)break;else null==v&&(v=b);d=new f.LocalMinima;d.Next=null;d.Y=b.Bot.Y;b.Dx<b.Prev.Dx?(d.LeftBound=b.Prev,d.RightBound=b,n=!1):(d.LeftBound=b,d.RightBound=b.Prev,n=!0);d.LeftBound.Side=f.EdgeSide.esLeft;d.RightBound.Side=f.EdgeSide.esRight;d.LeftBound.WindDelta=e?d.LeftBound.Next==d.RightBound?-1:1:0;d.RightBound.WindDelta=-d.LeftBound.WindDelta;b=this.ProcessBound(d.LeftBound,n);b.OutIdx==f.ClipperBase.Skip&&(b=this.ProcessBound(b,n));q=this.ProcessBound(d.RightBound,!n);q.OutIdx==f.ClipperBase.Skip&&
+(q=this.ProcessBound(q,!n));d.LeftBound.OutIdx==f.ClipperBase.Skip?d.LeftBound=null:d.RightBound.OutIdx==f.ClipperBase.Skip&&(d.RightBound=null);this.InsertLocalMinima(d);n||(b=q)}return!0};f.ClipperBase.prototype.AddPaths=function(b,d,e){for(var f=!1,n=0,k=b.length;n<k;++n)this.AddPath(b[n],d,e)&&(f=!0);return f};f.ClipperBase.prototype.Pt2IsBetweenPt1AndPt3=function(b,d,e){return f.IntPoint.op_Equality(b,e)||f.IntPoint.op_Equality(b,d)||f.IntPoint.op_Equality(e,d)?!1:b.X!=e.X?d.X>b.X==d.X<e.X:d.Y>
+b.Y==d.Y<e.Y};f.ClipperBase.prototype.RemoveEdge=function(b){b.Prev.Next=b.Next;b.Next.Prev=b.Prev;var d=b.Next;b.Prev=null;return d};f.ClipperBase.prototype.SetDx=function(b){b.Delta.X=b.Top.X-b.Bot.X;b.Delta.Y=b.Top.Y-b.Bot.Y;b.Dx=0===b.Delta.Y?f.ClipperBase.horizontal:b.Delta.X/b.Delta.Y};f.ClipperBase.prototype.InsertLocalMinima=function(b){if(null===this.m_MinimaList)this.m_MinimaList=b;else if(b.Y>=this.m_MinimaList.Y)b.Next=this.m_MinimaList,this.m_MinimaList=b;else{for(var d=this.m_MinimaList;null!==
+d.Next&&b.Y<d.Next.Y;)d=d.Next;b.Next=d.Next;d.Next=b}};f.ClipperBase.prototype.PopLocalMinima=function(){null!==this.m_CurrentLM&&(this.m_CurrentLM=this.m_CurrentLM.Next)};f.ClipperBase.prototype.ReverseHorizontal=function(b){var d=b.Top.X;b.Top.X=b.Bot.X;b.Bot.X=d;f.use_xyz&&(d=b.Top.Z,b.Top.Z=b.Bot.Z,b.Bot.Z=d)};f.ClipperBase.prototype.Reset=function(){this.m_CurrentLM=this.m_MinimaList;if(null!=this.m_CurrentLM)for(var b=this.m_MinimaList;null!=b;){var d=b.LeftBound;null!=d&&(d.Curr.X=d.Bot.X,
+d.Curr.Y=d.Bot.Y,f.use_xyz&&(d.Curr.Z=d.Bot.Z),d.Side=f.EdgeSide.esLeft,d.OutIdx=f.ClipperBase.Unassigned);d=b.RightBound;null!=d&&(d.Curr.X=d.Bot.X,d.Curr.Y=d.Bot.Y,f.use_xyz&&(d.Curr.Z=d.Bot.Z),d.Side=f.EdgeSide.esRight,d.OutIdx=f.ClipperBase.Unassigned);b=b.Next}};f.Clipper=function(b){"undefined"==typeof b&&(b=0);this.m_PolyOuts=null;this.m_ClipType=f.ClipType.ctIntersection;this.m_IntersectNodeComparer=this.m_IntersectList=this.m_SortedEdges=this.m_ActiveEdges=this.m_Scanbeam=null;this.m_ExecuteLocked=
+!1;this.m_SubjFillType=this.m_ClipFillType=f.PolyFillType.pftEvenOdd;this.m_GhostJoins=this.m_Joins=null;this.StrictlySimple=this.ReverseSolution=this.m_UsingPolyTree=!1;f.ClipperBase.call(this);this.m_SortedEdges=this.m_ActiveEdges=this.m_Scanbeam=null;this.m_IntersectList=[];this.m_IntersectNodeComparer=f.MyIntersectNodeSort.Compare;this.m_UsingPolyTree=this.m_ExecuteLocked=!1;this.m_PolyOuts=[];this.m_Joins=[];this.m_GhostJoins=[];this.ReverseSolution=0!==(1&b);this.StrictlySimple=0!==(2&b);this.PreserveCollinear=
+0!==(4&b);f.use_xyz&&(this.ZFillFunction=null)};f.Clipper.ioReverseSolution=1;f.Clipper.ioStrictlySimple=2;f.Clipper.ioPreserveCollinear=4;f.Clipper.prototype.Clear=function(){0!==this.m_edges.length&&(this.DisposeAllPolyPts(),f.ClipperBase.prototype.Clear.call(this))};f.Clipper.prototype.DisposeScanbeamList=function(){for(;null!==this.m_Scanbeam;){var b=this.m_Scanbeam.Next;this.m_Scanbeam=null;this.m_Scanbeam=b}};f.Clipper.prototype.Reset=function(){f.ClipperBase.prototype.Reset.call(this);this.m_SortedEdges=
+this.m_ActiveEdges=this.m_Scanbeam=null;for(var b=this.m_MinimaList;null!==b;)this.InsertScanbeam(b.Y),b=b.Next};f.Clipper.prototype.InsertScanbeam=function(b){if(null===this.m_Scanbeam)this.m_Scanbeam=new f.Scanbeam,this.m_Scanbeam.Next=null,this.m_Scanbeam.Y=b;else if(b>this.m_Scanbeam.Y){var d=new f.Scanbeam;d.Y=b;d.Next=this.m_Scanbeam;this.m_Scanbeam=d}else{for(var e=this.m_Scanbeam;null!==e.Next&&b<=e.Next.Y;)e=e.Next;b!=e.Y&&(d=new f.Scanbeam,d.Y=b,d.Next=e.Next,e.Next=d)}};f.Clipper.prototype.Execute=
+function(){var b=arguments,d=b.length,e=b[1]instanceof f.PolyTree;if(4!=d||e){if(4==d&&e){var d=b[0],q=b[1],e=b[2],b=b[3];if(this.m_ExecuteLocked)return!1;this.m_ExecuteLocked=!0;this.m_SubjFillType=e;this.m_ClipFillType=b;this.m_ClipType=d;this.m_UsingPolyTree=!0;try{(n=this.ExecuteInternal())&&this.BuildResult2(q)}finally{this.DisposeAllPolyPts(),this.m_ExecuteLocked=!1}return n}if(2==d&&!e||2==d&&e)return d=b[0],q=b[1],this.Execute(d,q,f.PolyFillType.pftEvenOdd,f.PolyFillType.pftEvenOdd)}else{d=
+b[0];q=b[1];e=b[2];b=b[3];if(this.m_ExecuteLocked)return!1;this.m_HasOpenPaths&&f.Error("Error: PolyTree struct is need for open path clipping.");this.m_ExecuteLocked=!0;f.Clear(q);this.m_SubjFillType=e;this.m_ClipFillType=b;this.m_ClipType=d;this.m_UsingPolyTree=!1;try{var n=this.ExecuteInternal();n&&this.BuildResult(q)}finally{this.DisposeAllPolyPts(),this.m_ExecuteLocked=!1}return n}};f.Clipper.prototype.FixHoleLinkage=function(b){if(null!==b.FirstLeft&&(b.IsHole==b.FirstLeft.IsHole||null===b.FirstLeft.Pts)){for(var d=
+b.FirstLeft;null!==d&&(d.IsHole==b.IsHole||null===d.Pts);)d=d.FirstLeft;b.FirstLeft=d}};f.Clipper.prototype.ExecuteInternal=function(){try{this.Reset();if(null===this.m_CurrentLM)return!1;var b=this.PopScanbeam();do{this.InsertLocalMinimaIntoAEL(b);f.Clear(this.m_GhostJoins);this.ProcessHorizontals(!1);if(null===this.m_Scanbeam)break;var d=this.PopScanbeam();if(!this.ProcessIntersections(d))return!1;this.ProcessEdgesAtTopOfScanbeam(d);b=d}while(null!==this.m_Scanbeam||null!==this.m_CurrentLM);for(var b=
+0,e=this.m_PolyOuts.length;b<e;b++){var q=this.m_PolyOuts[b];null===q.Pts||q.IsOpen||(q.IsHole^this.ReverseSolution)==0<this.Area(q)&&this.ReversePolyPtLinks(q.Pts)}this.JoinCommonEdges();b=0;for(e=this.m_PolyOuts.length;b<e;b++)q=this.m_PolyOuts[b],null===q.Pts||q.IsOpen||this.FixupOutPolygon(q);this.StrictlySimple&&this.DoSimplePolygons();return!0}finally{f.Clear(this.m_Joins),f.Clear(this.m_GhostJoins)}};f.Clipper.prototype.PopScanbeam=function(){var b=this.m_Scanbeam.Y;this.m_Scanbeam=this.m_Scanbeam.Next;
+return b};f.Clipper.prototype.DisposeAllPolyPts=function(){for(var b=0,d=this.m_PolyOuts.length;b<d;++b)this.DisposeOutRec(b);f.Clear(this.m_PolyOuts)};f.Clipper.prototype.DisposeOutRec=function(b){this.m_PolyOuts[b].Pts=null;this.m_PolyOuts[b]=null};f.Clipper.prototype.AddJoin=function(b,d,e){var q=new f.Join;q.OutPt1=b;q.OutPt2=d;q.OffPt.X=e.X;q.OffPt.Y=e.Y;f.use_xyz&&(q.OffPt.Z=e.Z);this.m_Joins.push(q)};f.Clipper.prototype.AddGhostJoin=function(b,d){var e=new f.Join;e.OutPt1=b;e.OffPt.X=d.X;e.OffPt.Y=
+d.Y;f.use_xyz&&(e.OffPt.Z=d.Z);this.m_GhostJoins.push(e)};f.Clipper.prototype.SetZ=function(b,d,e){null!==this.ZFillFunction&&0==b.Z&&null!==this.ZFillFunction&&(f.IntPoint.op_Equality(b,d.Bot)?b.Z=d.Bot.Z:f.IntPoint.op_Equality(b,d.Top)?b.Z=d.Top.Z:f.IntPoint.op_Equality(b,e.Bot)?b.Z=e.Bot.Z:f.IntPoint.op_Equality(b,e.Top)?b.Z=e.Top.Z:this.ZFillFunction(d.Bot,d.Top,e.Bot,e.Top,b))};f.Clipper.prototype.InsertLocalMinimaIntoAEL=function(b){for(;null!==this.m_CurrentLM&&this.m_CurrentLM.Y==b;){var d=
+this.m_CurrentLM.LeftBound,e=this.m_CurrentLM.RightBound;this.PopLocalMinima();var q=null;null===d?(this.InsertEdgeIntoAEL(e,null),this.SetWindingCount(e),this.IsContributing(e)&&(q=this.AddOutPt(e,e.Bot))):(null==e?(this.InsertEdgeIntoAEL(d,null),this.SetWindingCount(d),this.IsContributing(d)&&(q=this.AddOutPt(d,d.Bot))):(this.InsertEdgeIntoAEL(d,null),this.InsertEdgeIntoAEL(e,d),this.SetWindingCount(d),e.WindCnt=d.WindCnt,e.WindCnt2=d.WindCnt2,this.IsContributing(d)&&(q=this.AddLocalMinPoly(d,e,
+d.Bot))),this.InsertScanbeam(d.Top.Y));null!=e&&(f.ClipperBase.IsHorizontal(e)?this.AddEdgeToSEL(e):this.InsertScanbeam(e.Top.Y));if(null!=d&&null!=e){if(null!==q&&f.ClipperBase.IsHorizontal(e)&&0<this.m_GhostJoins.length&&0!==e.WindDelta)for(var n=0,k=this.m_GhostJoins.length;n<k;n++){var v=this.m_GhostJoins[n];this.HorzSegmentsOverlap(v.OutPt1.Pt.X,v.OffPt.X,e.Bot.X,e.Top.X)&&this.AddJoin(v.OutPt1,q,v.OffPt)}0<=d.OutIdx&&null!==d.PrevInAEL&&d.PrevInAEL.Curr.X==d.Bot.X&&0<=d.PrevInAEL.OutIdx&&f.ClipperBase.SlopesEqual(d.PrevInAEL,
+d,this.m_UseFullRange)&&0!==d.WindDelta&&0!==d.PrevInAEL.WindDelta&&(n=this.AddOutPt(d.PrevInAEL,d.Bot),this.AddJoin(q,n,d.Top));if(d.NextInAEL!=e&&(0<=e.OutIdx&&0<=e.PrevInAEL.OutIdx&&f.ClipperBase.SlopesEqual(e.PrevInAEL,e,this.m_UseFullRange)&&0!==e.WindDelta&&0!==e.PrevInAEL.WindDelta&&(n=this.AddOutPt(e.PrevInAEL,e.Bot),this.AddJoin(q,n,e.Top)),q=d.NextInAEL,null!==q))for(;q!=e;)this.IntersectEdges(e,q,d.Curr,!1),q=q.NextInAEL}}};f.Clipper.prototype.InsertEdgeIntoAEL=function(b,d){if(null===
+this.m_ActiveEdges)b.PrevInAEL=null,b.NextInAEL=null,this.m_ActiveEdges=b;else if(null===d&&this.E2InsertsBeforeE1(this.m_ActiveEdges,b))b.PrevInAEL=null,b.NextInAEL=this.m_ActiveEdges,this.m_ActiveEdges=this.m_ActiveEdges.PrevInAEL=b;else{for(null===d&&(d=this.m_ActiveEdges);null!==d.NextInAEL&&!this.E2InsertsBeforeE1(d.NextInAEL,b);)d=d.NextInAEL;b.NextInAEL=d.NextInAEL;null!==d.NextInAEL&&(d.NextInAEL.PrevInAEL=b);b.PrevInAEL=d;d.NextInAEL=b}};f.Clipper.prototype.E2InsertsBeforeE1=function(b,d){return d.Curr.X==
+b.Curr.X?d.Top.Y>b.Top.Y?d.Top.X<f.Clipper.TopX(b,d.Top.Y):b.Top.X>f.Clipper.TopX(d,b.Top.Y):d.Curr.X<b.Curr.X};f.Clipper.prototype.IsEvenOddFillType=function(b){return b.PolyTyp==f.PolyType.ptSubject?this.m_SubjFillType==f.PolyFillType.pftEvenOdd:this.m_ClipFillType==f.PolyFillType.pftEvenOdd};f.Clipper.prototype.IsEvenOddAltFillType=function(b){return b.PolyTyp==f.PolyType.ptSubject?this.m_ClipFillType==f.PolyFillType.pftEvenOdd:this.m_SubjFillType==f.PolyFillType.pftEvenOdd};f.Clipper.prototype.IsContributing=
+function(b){var d,e;b.PolyTyp==f.PolyType.ptSubject?(d=this.m_SubjFillType,e=this.m_ClipFillType):(d=this.m_ClipFillType,e=this.m_SubjFillType);switch(d){case f.PolyFillType.pftEvenOdd:if(0===b.WindDelta&&1!=b.WindCnt)return!1;break;case f.PolyFillType.pftNonZero:if(1!=Math.abs(b.WindCnt))return!1;break;case f.PolyFillType.pftPositive:if(1!=b.WindCnt)return!1;break;default:if(-1!=b.WindCnt)return!1}switch(this.m_ClipType){case f.ClipType.ctIntersection:switch(e){case f.PolyFillType.pftEvenOdd:case f.PolyFillType.pftNonZero:return 0!==
+b.WindCnt2;case f.PolyFillType.pftPositive:return 0<b.WindCnt2;default:return 0>b.WindCnt2}case f.ClipType.ctUnion:switch(e){case f.PolyFillType.pftEvenOdd:case f.PolyFillType.pftNonZero:return 0===b.WindCnt2;case f.PolyFillType.pftPositive:return 0>=b.WindCnt2;default:return 0<=b.WindCnt2}case f.ClipType.ctDifference:if(b.PolyTyp==f.PolyType.ptSubject)switch(e){case f.PolyFillType.pftEvenOdd:case f.PolyFillType.pftNonZero:return 0===b.WindCnt2;case f.PolyFillType.pftPositive:return 0>=b.WindCnt2;
+default:return 0<=b.WindCnt2}else switch(e){case f.PolyFillType.pftEvenOdd:case f.PolyFillType.pftNonZero:return 0!==b.WindCnt2;case f.PolyFillType.pftPositive:return 0<b.WindCnt2;default:return 0>b.WindCnt2}case f.ClipType.ctXor:if(0===b.WindDelta)switch(e){case f.PolyFillType.pftEvenOdd:case f.PolyFillType.pftNonZero:return 0===b.WindCnt2;case f.PolyFillType.pftPositive:return 0>=b.WindCnt2;default:return 0<=b.WindCnt2}}return!0};f.Clipper.prototype.SetWindingCount=function(b){for(var d=b.PrevInAEL;null!==
+d&&(d.PolyTyp!=b.PolyTyp||0===d.WindDelta);)d=d.PrevInAEL;if(null===d)b.WindCnt=0===b.WindDelta?1:b.WindDelta,b.WindCnt2=0,d=this.m_ActiveEdges;else{if(0===b.WindDelta&&this.m_ClipType!=f.ClipType.ctUnion)b.WindCnt=1;else if(this.IsEvenOddFillType(b))if(0===b.WindDelta){for(var e=!0,q=d.PrevInAEL;null!==q;)q.PolyTyp==d.PolyTyp&&0!==q.WindDelta&&(e=!e),q=q.PrevInAEL;b.WindCnt=e?0:1}else b.WindCnt=b.WindDelta;else b.WindCnt=0>d.WindCnt*d.WindDelta?1<Math.abs(d.WindCnt)?0>d.WindDelta*b.WindDelta?d.WindCnt:
+d.WindCnt+b.WindDelta:0===b.WindDelta?1:b.WindDelta:0===b.WindDelta?0>d.WindCnt?d.WindCnt-1:d.WindCnt+1:0>d.WindDelta*b.WindDelta?d.WindCnt:d.WindCnt+b.WindDelta;b.WindCnt2=d.WindCnt2;d=d.NextInAEL}if(this.IsEvenOddAltFillType(b))for(;d!=b;)0!==d.WindDelta&&(b.WindCnt2=0===b.WindCnt2?1:0),d=d.NextInAEL;else for(;d!=b;)b.WindCnt2+=d.WindDelta,d=d.NextInAEL};f.Clipper.prototype.AddEdgeToSEL=function(b){null===this.m_SortedEdges?(this.m_SortedEdges=b,b.PrevInSEL=null,b.NextInSEL=null):(b.NextInSEL=this.m_SortedEdges,
+b.PrevInSEL=null,this.m_SortedEdges=this.m_SortedEdges.PrevInSEL=b)};f.Clipper.prototype.CopyAELToSEL=function(){var b=this.m_ActiveEdges;for(this.m_SortedEdges=b;null!==b;)b.PrevInSEL=b.PrevInAEL,b=b.NextInSEL=b.NextInAEL};f.Clipper.prototype.SwapPositionsInAEL=function(b,d){if(b.NextInAEL!=b.PrevInAEL&&d.NextInAEL!=d.PrevInAEL){if(b.NextInAEL==d){var e=d.NextInAEL;null!==e&&(e.PrevInAEL=b);var f=b.PrevInAEL;null!==f&&(f.NextInAEL=d);d.PrevInAEL=f;d.NextInAEL=b;b.PrevInAEL=d;b.NextInAEL=e}else d.NextInAEL==
+b?(e=b.NextInAEL,null!==e&&(e.PrevInAEL=d),f=d.PrevInAEL,null!==f&&(f.NextInAEL=b),b.PrevInAEL=f,b.NextInAEL=d,d.PrevInAEL=b,d.NextInAEL=e):(e=b.NextInAEL,f=b.PrevInAEL,b.NextInAEL=d.NextInAEL,null!==b.NextInAEL&&(b.NextInAEL.PrevInAEL=b),b.PrevInAEL=d.PrevInAEL,null!==b.PrevInAEL&&(b.PrevInAEL.NextInAEL=b),d.NextInAEL=e,null!==d.NextInAEL&&(d.NextInAEL.PrevInAEL=d),d.PrevInAEL=f,null!==d.PrevInAEL&&(d.PrevInAEL.NextInAEL=d));null===b.PrevInAEL?this.m_ActiveEdges=b:null===d.PrevInAEL&&(this.m_ActiveEdges=
+d)}};f.Clipper.prototype.SwapPositionsInSEL=function(b,d){if(null!==b.NextInSEL||null!==b.PrevInSEL)if(null!==d.NextInSEL||null!==d.PrevInSEL){if(b.NextInSEL==d){var e=d.NextInSEL;null!==e&&(e.PrevInSEL=b);var f=b.PrevInSEL;null!==f&&(f.NextInSEL=d);d.PrevInSEL=f;d.NextInSEL=b;b.PrevInSEL=d;b.NextInSEL=e}else d.NextInSEL==b?(e=b.NextInSEL,null!==e&&(e.PrevInSEL=d),f=d.PrevInSEL,null!==f&&(f.NextInSEL=b),b.PrevInSEL=f,b.NextInSEL=d,d.PrevInSEL=b,d.NextInSEL=e):(e=b.NextInSEL,f=b.PrevInSEL,b.NextInSEL=
+d.NextInSEL,null!==b.NextInSEL&&(b.NextInSEL.PrevInSEL=b),b.PrevInSEL=d.PrevInSEL,null!==b.PrevInSEL&&(b.PrevInSEL.NextInSEL=b),d.NextInSEL=e,null!==d.NextInSEL&&(d.NextInSEL.PrevInSEL=d),d.PrevInSEL=f,null!==d.PrevInSEL&&(d.PrevInSEL.NextInSEL=d));null===b.PrevInSEL?this.m_SortedEdges=b:null===d.PrevInSEL&&(this.m_SortedEdges=d)}};f.Clipper.prototype.AddLocalMaxPoly=function(b,d,e){this.AddOutPt(b,e);0==d.WindDelta&&this.AddOutPt(d,e);b.OutIdx==d.OutIdx?(b.OutIdx=-1,d.OutIdx=-1):b.OutIdx<d.OutIdx?
+this.AppendPolygon(b,d):this.AppendPolygon(d,b)};f.Clipper.prototype.AddLocalMinPoly=function(b,d,e){var q,n;f.ClipperBase.IsHorizontal(d)||b.Dx>d.Dx?(q=this.AddOutPt(b,e),d.OutIdx=b.OutIdx,b.Side=f.EdgeSide.esLeft,d.Side=f.EdgeSide.esRight,n=b,b=n.PrevInAEL==d?d.PrevInAEL:n.PrevInAEL):(q=this.AddOutPt(d,e),b.OutIdx=d.OutIdx,b.Side=f.EdgeSide.esRight,d.Side=f.EdgeSide.esLeft,n=d,b=n.PrevInAEL==b?b.PrevInAEL:n.PrevInAEL);null!==b&&0<=b.OutIdx&&f.Clipper.TopX(b,e.Y)==f.Clipper.TopX(n,e.Y)&&f.ClipperBase.SlopesEqual(n,
+b,this.m_UseFullRange)&&0!==n.WindDelta&&0!==b.WindDelta&&(e=this.AddOutPt(b,e),this.AddJoin(q,e,n.Top));return q};f.Clipper.prototype.CreateOutRec=function(){var b=new f.OutRec;b.Idx=-1;b.IsHole=!1;b.IsOpen=!1;b.FirstLeft=null;b.Pts=null;b.BottomPt=null;b.PolyNode=null;this.m_PolyOuts.push(b);b.Idx=this.m_PolyOuts.length-1;return b};f.Clipper.prototype.AddOutPt=function(b,d){var e=b.Side==f.EdgeSide.esLeft;if(0>b.OutIdx){var q=this.CreateOutRec();q.IsOpen=0===b.WindDelta;var n=new f.OutPt;q.Pts=
+n;n.Idx=q.Idx;n.Pt.X=d.X;n.Pt.Y=d.Y;f.use_xyz&&(n.Pt.Z=d.Z);n.Next=n;n.Prev=n;q.IsOpen||this.SetHoleState(b,q);b.OutIdx=q.Idx}else{var q=this.m_PolyOuts[b.OutIdx],k=q.Pts;if(e&&f.IntPoint.op_Equality(d,k.Pt))return k;if(!e&&f.IntPoint.op_Equality(d,k.Prev.Pt))return k.Prev;n=new f.OutPt;n.Idx=q.Idx;n.Pt.X=d.X;n.Pt.Y=d.Y;f.use_xyz&&(n.Pt.Z=d.Z);n.Next=k;n.Prev=k.Prev;n.Prev.Next=n;k.Prev=n;e&&(q.Pts=n)}return n};f.Clipper.prototype.SwapPoints=function(b,d){var e=new f.IntPoint(b.Value);b.Value.X=d.Value.X;
+b.Value.Y=d.Value.Y;f.use_xyz&&(b.Value.Z=d.Value.Z);d.Value.X=e.X;d.Value.Y=e.Y;f.use_xyz&&(d.Value.Z=e.Z)};f.Clipper.prototype.HorzSegmentsOverlap=function(b,d,e,f){var n;b>d&&(n=b,b=d,d=n);e>f&&(n=e,e=f,f=n);return b<f&&e<d};f.Clipper.prototype.SetHoleState=function(b,d){for(var e=!1,f=b.PrevInAEL;null!==f;)0<=f.OutIdx&&0!=f.WindDelta&&(e=!e,null===d.FirstLeft&&(d.FirstLeft=this.m_PolyOuts[f.OutIdx])),f=f.PrevInAEL;e&&(d.IsHole=!0)};f.Clipper.prototype.GetDx=function(b,d){return b.Y==d.Y?f.ClipperBase.horizontal:
+(d.X-b.X)/(d.Y-b.Y)};f.Clipper.prototype.FirstIsBottomPt=function(b,d){for(var e=b.Prev;f.IntPoint.op_Equality(e.Pt,b.Pt)&&e!=b;)e=e.Prev;for(var q=Math.abs(this.GetDx(b.Pt,e.Pt)),e=b.Next;f.IntPoint.op_Equality(e.Pt,b.Pt)&&e!=b;)e=e.Next;for(var n=Math.abs(this.GetDx(b.Pt,e.Pt)),e=d.Prev;f.IntPoint.op_Equality(e.Pt,d.Pt)&&e!=d;)e=e.Prev;for(var k=Math.abs(this.GetDx(d.Pt,e.Pt)),e=d.Next;f.IntPoint.op_Equality(e.Pt,d.Pt)&&e!=d;)e=e.Next;e=Math.abs(this.GetDx(d.Pt,e.Pt));return q>=k&&q>=e||n>=k&&n>=
+e};f.Clipper.prototype.GetBottomPt=function(b){for(var d=null,e=b.Next;e!=b;)e.Pt.Y>b.Pt.Y?(b=e,d=null):e.Pt.Y==b.Pt.Y&&e.Pt.X<=b.Pt.X&&(e.Pt.X<b.Pt.X?(d=null,b=e):e.Next!=b&&e.Prev!=b&&(d=e)),e=e.Next;if(null!==d)for(;d!=e;)for(this.FirstIsBottomPt(e,d)||(b=d),d=d.Next;f.IntPoint.op_Inequality(d.Pt,b.Pt);)d=d.Next;return b};f.Clipper.prototype.GetLowermostRec=function(b,d){null===b.BottomPt&&(b.BottomPt=this.GetBottomPt(b.Pts));null===d.BottomPt&&(d.BottomPt=this.GetBottomPt(d.Pts));var e=b.BottomPt,
+f=d.BottomPt;return e.Pt.Y>f.Pt.Y?b:e.Pt.Y<f.Pt.Y?d:e.Pt.X<f.Pt.X?b:e.Pt.X>f.Pt.X?d:e.Next==e?d:f.Next==f?b:this.FirstIsBottomPt(e,f)?b:d};f.Clipper.prototype.Param1RightOfParam2=function(b,d){do if(b=b.FirstLeft,b==d)return!0;while(null!==b);return!1};f.Clipper.prototype.GetOutRec=function(b){for(b=this.m_PolyOuts[b];b!=this.m_PolyOuts[b.Idx];)b=this.m_PolyOuts[b.Idx];return b};f.Clipper.prototype.AppendPolygon=function(b,d){var e=this.m_PolyOuts[b.OutIdx],q=this.m_PolyOuts[d.OutIdx],n;n=this.Param1RightOfParam2(e,
+q)?q:this.Param1RightOfParam2(q,e)?e:this.GetLowermostRec(e,q);var k=e.Pts,v=k.Prev,C=q.Pts,p=C.Prev;b.Side==f.EdgeSide.esLeft?(d.Side==f.EdgeSide.esLeft?(this.ReversePolyPtLinks(C),C.Next=k,k.Prev=C,v.Next=p,p.Prev=v,e.Pts=p):(p.Next=k,k.Prev=p,C.Prev=v,v.Next=C,e.Pts=C),k=f.EdgeSide.esLeft):(d.Side==f.EdgeSide.esRight?(this.ReversePolyPtLinks(C),v.Next=p,p.Prev=v,C.Next=k,k.Prev=C):(v.Next=C,C.Prev=v,k.Prev=p,p.Next=k),k=f.EdgeSide.esRight);e.BottomPt=null;n==q&&(q.FirstLeft!=e&&(e.FirstLeft=q.FirstLeft),
+e.IsHole=q.IsHole);q.Pts=null;q.BottomPt=null;q.FirstLeft=e;n=b.OutIdx;v=d.OutIdx;b.OutIdx=-1;d.OutIdx=-1;for(C=this.m_ActiveEdges;null!==C;){if(C.OutIdx==v){C.OutIdx=n;C.Side=k;break}C=C.NextInAEL}q.Idx=e.Idx};f.Clipper.prototype.ReversePolyPtLinks=function(b){if(null!==b){var d,e;d=b;do e=d.Next,d.Next=d.Prev,d=d.Prev=e;while(d!=b)}};f.Clipper.SwapSides=function(b,d){var e=b.Side;b.Side=d.Side;d.Side=e};f.Clipper.SwapPolyIndexes=function(b,d){var e=b.OutIdx;b.OutIdx=d.OutIdx;d.OutIdx=e};f.Clipper.prototype.IntersectEdges=
+function(b,d,e){var q=0<=b.OutIdx,n=0<=d.OutIdx;f.use_xyz&&this.SetZ(e,b,d);if(!f.use_lines||0!==b.WindDelta&&0!==d.WindDelta){if(b.PolyTyp==d.PolyTyp)if(this.IsEvenOddFillType(b)){var k=b.WindCnt;b.WindCnt=d.WindCnt;d.WindCnt=k}else b.WindCnt=0===b.WindCnt+d.WindDelta?-b.WindCnt:b.WindCnt+d.WindDelta,d.WindCnt=0===d.WindCnt-b.WindDelta?-d.WindCnt:d.WindCnt-b.WindDelta;else this.IsEvenOddFillType(d)?b.WindCnt2=0===b.WindCnt2?1:0:b.WindCnt2+=d.WindDelta,this.IsEvenOddFillType(b)?d.WindCnt2=0===d.WindCnt2?
+1:0:d.WindCnt2-=b.WindDelta;var v,C,p;b.PolyTyp==f.PolyType.ptSubject?(v=this.m_SubjFillType,p=this.m_ClipFillType):(v=this.m_ClipFillType,p=this.m_SubjFillType);d.PolyTyp==f.PolyType.ptSubject?(C=this.m_SubjFillType,k=this.m_ClipFillType):(C=this.m_ClipFillType,k=this.m_SubjFillType);switch(v){case f.PolyFillType.pftPositive:v=b.WindCnt;break;case f.PolyFillType.pftNegative:v=-b.WindCnt;break;default:v=Math.abs(b.WindCnt)}switch(C){case f.PolyFillType.pftPositive:C=d.WindCnt;break;case f.PolyFillType.pftNegative:C=
+-d.WindCnt;break;default:C=Math.abs(d.WindCnt)}if(q&&n)0!=v&&1!=v||0!=C&&1!=C||b.PolyTyp!=d.PolyTyp&&this.m_ClipType!=f.ClipType.ctXor?this.AddLocalMaxPoly(b,d,e):(this.AddOutPt(b,e),this.AddOutPt(d,e),f.Clipper.SwapSides(b,d),f.Clipper.SwapPolyIndexes(b,d));else if(q){if(0===C||1==C)this.AddOutPt(b,e),f.Clipper.SwapSides(b,d),f.Clipper.SwapPolyIndexes(b,d)}else if(n){if(0===v||1==v)this.AddOutPt(d,e),f.Clipper.SwapSides(b,d),f.Clipper.SwapPolyIndexes(b,d)}else if(!(0!=v&&1!=v||0!=C&&1!=C)){switch(p){case f.PolyFillType.pftPositive:q=
+b.WindCnt2;break;case f.PolyFillType.pftNegative:q=-b.WindCnt2;break;default:q=Math.abs(b.WindCnt2)}switch(k){case f.PolyFillType.pftPositive:n=d.WindCnt2;break;case f.PolyFillType.pftNegative:n=-d.WindCnt2;break;default:n=Math.abs(d.WindCnt2)}if(b.PolyTyp!=d.PolyTyp)this.AddLocalMinPoly(b,d,e);else if(1==v&&1==C)switch(this.m_ClipType){case f.ClipType.ctIntersection:0<q&&0<n&&this.AddLocalMinPoly(b,d,e);break;case f.ClipType.ctUnion:0>=q&&0>=n&&this.AddLocalMinPoly(b,d,e);break;case f.ClipType.ctDifference:(b.PolyTyp==
+f.PolyType.ptClip&&0<q&&0<n||b.PolyTyp==f.PolyType.ptSubject&&0>=q&&0>=n)&&this.AddLocalMinPoly(b,d,e);break;case f.ClipType.ctXor:this.AddLocalMinPoly(b,d,e)}else f.Clipper.SwapSides(b,d)}}else if(0!=b.WindDelta||0!=d.WindDelta)b.PolyTyp==d.PolyTyp&&b.WindDelta!=d.WindDelta&&this.m_ClipType==f.ClipType.ctUnion?0===b.WindDelta?n&&(this.AddOutPt(b,e),q&&(b.OutIdx=-1)):q&&(this.AddOutPt(d,e),n&&(d.OutIdx=-1)):b.PolyTyp!=d.PolyTyp&&(0!==b.WindDelta||1!=Math.abs(d.WindCnt)||this.m_ClipType==f.ClipType.ctUnion&&
+0!==d.WindCnt2?0!==d.WindDelta||1!=Math.abs(b.WindCnt)||this.m_ClipType==f.ClipType.ctUnion&&0!==b.WindCnt2||(this.AddOutPt(d,e),n&&(d.OutIdx=-1)):(this.AddOutPt(b,e),q&&(b.OutIdx=-1)))};f.Clipper.prototype.DeleteFromAEL=function(b){var d=b.PrevInAEL,e=b.NextInAEL;if(null!==d||null!==e||b==this.m_ActiveEdges)null!==d?d.NextInAEL=e:this.m_ActiveEdges=e,null!==e&&(e.PrevInAEL=d),b.NextInAEL=null,b.PrevInAEL=null};f.Clipper.prototype.DeleteFromSEL=function(b){var d=b.PrevInSEL,e=b.NextInSEL;if(null!==
+d||null!==e||b==this.m_SortedEdges)null!==d?d.NextInSEL=e:this.m_SortedEdges=e,null!==e&&(e.PrevInSEL=d),b.NextInSEL=null,b.PrevInSEL=null};f.Clipper.prototype.UpdateEdgeIntoAEL=function(b){null===b.NextInLML&&f.Error("UpdateEdgeIntoAEL: invalid call");var d=b.PrevInAEL,e=b.NextInAEL;b.NextInLML.OutIdx=b.OutIdx;null!==d?d.NextInAEL=b.NextInLML:this.m_ActiveEdges=b.NextInLML;null!==e&&(e.PrevInAEL=b.NextInLML);b.NextInLML.Side=b.Side;b.NextInLML.WindDelta=b.WindDelta;b.NextInLML.WindCnt=b.WindCnt;
+b.NextInLML.WindCnt2=b.WindCnt2;b=b.NextInLML;b.Curr.X=b.Bot.X;b.Curr.Y=b.Bot.Y;f.use_xyz&&(b.Curr.Z=b.Bot.Z);b.PrevInAEL=d;b.NextInAEL=e;f.ClipperBase.IsHorizontal(b)||this.InsertScanbeam(b.Top.Y);return b};f.Clipper.prototype.ProcessHorizontals=function(b){for(var d=this.m_SortedEdges;null!==d;)this.DeleteFromSEL(d),this.ProcessHorizontal(d,b),d=this.m_SortedEdges};f.Clipper.prototype.GetHorzDirection=function(b,d){b.Bot.X<b.Top.X?(d.Left=b.Bot.X,d.Right=b.Top.X,d.Dir=f.Direction.dLeftToRight):
+(d.Left=b.Top.X,d.Right=b.Bot.X,d.Dir=f.Direction.dRightToLeft)};f.Clipper.prototype.ProcessHorizontal=function(b,d){var e={Dir:null,Left:null,Right:null};this.GetHorzDirection(b,e);for(var q=e.Dir,n=e.Left,k=e.Right,v=b,C=null;null!==v.NextInLML&&f.ClipperBase.IsHorizontal(v.NextInLML);)v=v.NextInLML;for(null===v.NextInLML&&(C=this.GetMaximaPair(v));;){for(var p=b==v,F=this.GetNextInAEL(b,q);null!==F&&!(F.Curr.X==b.Top.X&&null!==b.NextInLML&&F.Dx<b.NextInLML.Dx);){e=this.GetNextInAEL(F,q);if(q==
+f.Direction.dLeftToRight&&F.Curr.X<=k||q==f.Direction.dRightToLeft&&F.Curr.X>=n){if(F==C&&p){if(0<=b.OutIdx){q=this.AddOutPt(b,b.Top);for(e=this.m_SortedEdges;null!==e;)0<=e.OutIdx&&this.HorzSegmentsOverlap(b.Bot.X,b.Top.X,e.Bot.X,e.Top.X)&&(n=this.AddOutPt(e,e.Bot),this.AddJoin(n,q,e.Top)),e=e.NextInSEL;this.AddGhostJoin(q,b.Bot);this.AddLocalMaxPoly(b,C,b.Top)}this.DeleteFromAEL(b);this.DeleteFromAEL(C);return}if(q==f.Direction.dLeftToRight){var E=new f.IntPoint(F.Curr.X,b.Curr.Y);this.IntersectEdges(b,
+F,E)}else E=new f.IntPoint(F.Curr.X,b.Curr.Y),this.IntersectEdges(F,b,E);this.SwapPositionsInAEL(b,F)}else if(q==f.Direction.dLeftToRight&&F.Curr.X>=k||q==f.Direction.dRightToLeft&&F.Curr.X<=n)break;F=e}if(null!==b.NextInLML&&f.ClipperBase.IsHorizontal(b.NextInLML))b=this.UpdateEdgeIntoAEL(b),0<=b.OutIdx&&this.AddOutPt(b,b.Bot),e={Dir:q,Left:n,Right:k},this.GetHorzDirection(b,e),q=e.Dir,n=e.Left,k=e.Right;else break}null!==b.NextInLML?0<=b.OutIdx?(q=this.AddOutPt(b,b.Top),d&&this.AddGhostJoin(q,b.Bot),
+b=this.UpdateEdgeIntoAEL(b),0!==b.WindDelta&&(C=b.PrevInAEL,e=b.NextInAEL,null!==C&&C.Curr.X==b.Bot.X&&C.Curr.Y==b.Bot.Y&&0!==C.WindDelta&&0<=C.OutIdx&&C.Curr.Y>C.Top.Y&&f.ClipperBase.SlopesEqual(b,C,this.m_UseFullRange)?(n=this.AddOutPt(C,b.Bot),this.AddJoin(q,n,b.Top)):null!==e&&e.Curr.X==b.Bot.X&&e.Curr.Y==b.Bot.Y&&0!==e.WindDelta&&0<=e.OutIdx&&e.Curr.Y>e.Top.Y&&f.ClipperBase.SlopesEqual(b,e,this.m_UseFullRange)&&(n=this.AddOutPt(e,b.Bot),this.AddJoin(q,n,b.Top)))):this.UpdateEdgeIntoAEL(b):(0<=
+b.OutIdx&&this.AddOutPt(b,b.Top),this.DeleteFromAEL(b))};f.Clipper.prototype.GetNextInAEL=function(b,d){return d==f.Direction.dLeftToRight?b.NextInAEL:b.PrevInAEL};f.Clipper.prototype.IsMinima=function(b){return null!==b&&b.Prev.NextInLML!=b&&b.Next.NextInLML!=b};f.Clipper.prototype.IsMaxima=function(b,d){return null!==b&&b.Top.Y==d&&null===b.NextInLML};f.Clipper.prototype.IsIntermediate=function(b,d){return b.Top.Y==d&&null!==b.NextInLML};f.Clipper.prototype.GetMaximaPair=function(b){var d=null;
+f.IntPoint.op_Equality(b.Next.Top,b.Top)&&null===b.Next.NextInLML?d=b.Next:f.IntPoint.op_Equality(b.Prev.Top,b.Top)&&null===b.Prev.NextInLML&&(d=b.Prev);return null===d||-2!=d.OutIdx&&(d.NextInAEL!=d.PrevInAEL||f.ClipperBase.IsHorizontal(d))?d:null};f.Clipper.prototype.ProcessIntersections=function(b){if(null==this.m_ActiveEdges)return!0;try{this.BuildIntersectList(b);if(0==this.m_IntersectList.length)return!0;if(1==this.m_IntersectList.length||this.FixupIntersectionOrder())this.ProcessIntersectList();
+else return!1}catch(d){this.m_SortedEdges=null,this.m_IntersectList.length=0,f.Error("ProcessIntersections error")}this.m_SortedEdges=null;return!0};f.Clipper.prototype.BuildIntersectList=function(b){if(null!==this.m_ActiveEdges){var d=this.m_ActiveEdges;for(this.m_SortedEdges=d;null!==d;)d.PrevInSEL=d.PrevInAEL,d.NextInSEL=d.NextInAEL,d.Curr.X=f.Clipper.TopX(d,b),d=d.NextInAEL;for(var e=!0;e&&null!==this.m_SortedEdges;){e=!1;for(d=this.m_SortedEdges;null!==d.NextInSEL;){b=d.NextInSEL;var q=new f.IntPoint;
+d.Curr.X>b.Curr.X?(this.IntersectPoint(d,b,q),e=new f.IntersectNode,e.Edge1=d,e.Edge2=b,e.Pt.X=q.X,e.Pt.Y=q.Y,f.use_xyz&&(e.Pt.Z=q.Z),this.m_IntersectList.push(e),this.SwapPositionsInSEL(d,b),e=!0):d=b}if(null!==d.PrevInSEL)d.PrevInSEL.NextInSEL=null;else break}this.m_SortedEdges=null}};f.Clipper.prototype.EdgesAdjacent=function(b){return b.Edge1.NextInSEL==b.Edge2||b.Edge1.PrevInSEL==b.Edge2};f.Clipper.IntersectNodeSort=function(b,d){return d.Pt.Y-b.Pt.Y};f.Clipper.prototype.FixupIntersectionOrder=
+function(){this.m_IntersectList.sort(this.m_IntersectNodeComparer);this.CopyAELToSEL();for(var b=this.m_IntersectList.length,d=0;d<b;d++){if(!this.EdgesAdjacent(this.m_IntersectList[d])){for(var e=d+1;e<b&&!this.EdgesAdjacent(this.m_IntersectList[e]);)e++;if(e==b)return!1;var f=this.m_IntersectList[d];this.m_IntersectList[d]=this.m_IntersectList[e];this.m_IntersectList[e]=f}this.SwapPositionsInSEL(this.m_IntersectList[d].Edge1,this.m_IntersectList[d].Edge2)}return!0};f.Clipper.prototype.ProcessIntersectList=
+function(){for(var b=0,d=this.m_IntersectList.length;b<d;b++){var e=this.m_IntersectList[b];this.IntersectEdges(e.Edge1,e.Edge2,e.Pt);this.SwapPositionsInAEL(e.Edge1,e.Edge2)}this.m_IntersectList.length=0};I=function(b){return 0>b?Math.ceil(b-.5):Math.round(b)};Jb=function(b){return 0>b?Math.ceil(b-.5):Math.floor(b+.5)};Qa=function(b){return 0>b?-Math.round(Math.abs(b)):Math.round(b)};ab=function(b){if(0>b)return b-=.5,-2147483648>b?Math.ceil(b):b|0;b+=.5;return 2147483647<b?Math.floor(b):b|0};f.Clipper.Round=
+Y?I:nb?Qa:Xb?ab:Jb;f.Clipper.TopX=function(b,d){return d==b.Top.Y?b.Top.X:b.Bot.X+f.Clipper.Round(b.Dx*(d-b.Bot.Y))};f.Clipper.prototype.IntersectPoint=function(b,d,e){e.X=0;e.Y=0;var q,n;if(b.Dx==d.Dx)e.Y=b.Curr.Y,e.X=f.Clipper.TopX(b,e.Y);else{if(0===b.Delta.X)e.X=b.Bot.X,f.ClipperBase.IsHorizontal(d)?e.Y=d.Bot.Y:(n=d.Bot.Y-d.Bot.X/d.Dx,e.Y=f.Clipper.Round(e.X/d.Dx+n));else if(0===d.Delta.X)e.X=d.Bot.X,f.ClipperBase.IsHorizontal(b)?e.Y=b.Bot.Y:(q=b.Bot.Y-b.Bot.X/b.Dx,e.Y=f.Clipper.Round(e.X/b.Dx+
+q));else{q=b.Bot.X-b.Bot.Y*b.Dx;n=d.Bot.X-d.Bot.Y*d.Dx;var k=(n-q)/(b.Dx-d.Dx);e.Y=f.Clipper.Round(k);e.X=Math.abs(b.Dx)<Math.abs(d.Dx)?f.Clipper.Round(b.Dx*k+q):f.Clipper.Round(d.Dx*k+n)}if(e.Y<b.Top.Y||e.Y<d.Top.Y){if(b.Top.Y>d.Top.Y)return e.Y=b.Top.Y,e.X=f.Clipper.TopX(d,b.Top.Y),e.X<b.Top.X;e.Y=d.Top.Y;e.X=Math.abs(b.Dx)<Math.abs(d.Dx)?f.Clipper.TopX(b,e.Y):f.Clipper.TopX(d,e.Y)}e.Y>b.Curr.Y&&(e.Y=b.Curr.Y,e.X=Math.abs(b.Dx)>Math.abs(d.Dx)?f.Clipper.TopX(d,e.Y):f.Clipper.TopX(b,e.Y))}};f.Clipper.prototype.ProcessEdgesAtTopOfScanbeam=
+function(b){for(var d=this.m_ActiveEdges;null!==d;){var e=this.IsMaxima(d,b);e&&(e=this.GetMaximaPair(d),e=null===e||!f.ClipperBase.IsHorizontal(e));if(e){var q=d.PrevInAEL;this.DoMaxima(d);d=null===q?this.m_ActiveEdges:q.NextInAEL}else{this.IsIntermediate(d,b)&&f.ClipperBase.IsHorizontal(d.NextInLML)?(d=this.UpdateEdgeIntoAEL(d),0<=d.OutIdx&&this.AddOutPt(d,d.Bot),this.AddEdgeToSEL(d)):(d.Curr.X=f.Clipper.TopX(d,b),d.Curr.Y=b);if(this.StrictlySimple&&(q=d.PrevInAEL,0<=d.OutIdx&&0!==d.WindDelta&&
+null!==q&&0<=q.OutIdx&&q.Curr.X==d.Curr.X&&0!==q.WindDelta)){var n=new f.IntPoint(d.Curr);f.use_xyz&&this.SetZ(n,q,d);e=this.AddOutPt(q,n);q=this.AddOutPt(d,n);this.AddJoin(e,q,n)}d=d.NextInAEL}}this.ProcessHorizontals(!0);for(d=this.m_ActiveEdges;null!==d;)this.IsIntermediate(d,b)&&(e=null,0<=d.OutIdx&&(e=this.AddOutPt(d,d.Top)),d=this.UpdateEdgeIntoAEL(d),q=d.PrevInAEL,n=d.NextInAEL,null!==q&&q.Curr.X==d.Bot.X&&q.Curr.Y==d.Bot.Y&&null!==e&&0<=q.OutIdx&&q.Curr.Y>q.Top.Y&&f.ClipperBase.SlopesEqual(d,
+q,this.m_UseFullRange)&&0!==d.WindDelta&&0!==q.WindDelta?(q=this.AddOutPt(q,d.Bot),this.AddJoin(e,q,d.Top)):null!==n&&n.Curr.X==d.Bot.X&&n.Curr.Y==d.Bot.Y&&null!==e&&0<=n.OutIdx&&n.Curr.Y>n.Top.Y&&f.ClipperBase.SlopesEqual(d,n,this.m_UseFullRange)&&0!==d.WindDelta&&0!==n.WindDelta&&(q=this.AddOutPt(n,d.Bot),this.AddJoin(e,q,d.Top))),d=d.NextInAEL};f.Clipper.prototype.DoMaxima=function(b){var d=this.GetMaximaPair(b);if(null===d)0<=b.OutIdx&&this.AddOutPt(b,b.Top),this.DeleteFromAEL(b);else{for(var e=
+b.NextInAEL;null!==e&&e!=d;)this.IntersectEdges(b,e,b.Top),this.SwapPositionsInAEL(b,e),e=b.NextInAEL;-1==b.OutIdx&&-1==d.OutIdx?(this.DeleteFromAEL(b),this.DeleteFromAEL(d)):0<=b.OutIdx&&0<=d.OutIdx?(0<=b.OutIdx&&this.AddLocalMaxPoly(b,d,b.Top),this.DeleteFromAEL(b),this.DeleteFromAEL(d)):f.use_lines&&0===b.WindDelta?(0<=b.OutIdx&&(this.AddOutPt(b,b.Top),b.OutIdx=-1),this.DeleteFromAEL(b),0<=d.OutIdx&&(this.AddOutPt(d,b.Top),d.OutIdx=-1),this.DeleteFromAEL(d)):f.Error("DoMaxima error")}};f.Clipper.ReversePaths=
+function(b){for(var d=0,e=b.length;d<e;d++)b[d].reverse()};f.Clipper.Orientation=function(b){return 0<=f.Clipper.Area(b)};f.Clipper.prototype.PointCount=function(b){if(null===b)return 0;var d=0,e=b;do d++,e=e.Next;while(e!=b);return d};f.Clipper.prototype.BuildResult=function(b){f.Clear(b);for(var d=0,e=this.m_PolyOuts.length;d<e;d++){var q=this.m_PolyOuts[d];if(null!==q.Pts){var q=q.Pts.Prev,n=this.PointCount(q);if(!(2>n)){for(var k=Array(n),v=0;v<n;v++)k[v]=q.Pt,q=q.Prev;b.push(k)}}}};f.Clipper.prototype.BuildResult2=
+function(b){b.Clear();for(var d=0,e=this.m_PolyOuts.length;d<e;d++){var q=this.m_PolyOuts[d],n=this.PointCount(q.Pts);if(!(q.IsOpen&&2>n||!q.IsOpen&&3>n)){this.FixHoleLinkage(q);var k=new f.PolyNode;b.m_AllPolys.push(k);q.PolyNode=k;k.m_polygon.length=n;for(var q=q.Pts.Prev,v=0;v<n;v++)k.m_polygon[v]=q.Pt,q=q.Prev}}d=0;for(e=this.m_PolyOuts.length;d<e;d++)q=this.m_PolyOuts[d],null!==q.PolyNode&&(q.IsOpen?(q.PolyNode.IsOpen=!0,b.AddChild(q.PolyNode)):null!==q.FirstLeft&&null!=q.FirstLeft.PolyNode?
+q.FirstLeft.PolyNode.AddChild(q.PolyNode):b.AddChild(q.PolyNode))};f.Clipper.prototype.FixupOutPolygon=function(b){var d=null;b.BottomPt=null;for(var e=b.Pts;;){if(e.Prev==e||e.Prev==e.Next){b.Pts=null;return}if(f.IntPoint.op_Equality(e.Pt,e.Next.Pt)||f.IntPoint.op_Equality(e.Pt,e.Prev.Pt)||f.ClipperBase.SlopesEqual(e.Prev.Pt,e.Pt,e.Next.Pt,this.m_UseFullRange)&&(!this.PreserveCollinear||!this.Pt2IsBetweenPt1AndPt3(e.Prev.Pt,e.Pt,e.Next.Pt)))d=null,e.Prev.Next=e.Next,e=e.Next.Prev=e.Prev;else if(e==
+d)break;else null===d&&(d=e),e=e.Next}b.Pts=e};f.Clipper.prototype.DupOutPt=function(b,d){var e=new f.OutPt;e.Pt.X=b.Pt.X;e.Pt.Y=b.Pt.Y;f.use_xyz&&(e.Pt.Z=b.Pt.Z);e.Idx=b.Idx;d?(e.Next=b.Next,e.Prev=b,b.Next.Prev=e,b.Next=e):(e.Prev=b.Prev,e.Next=b,b.Prev.Next=e,b.Prev=e);return e};f.Clipper.prototype.GetOverlap=function(b,d,e,f,n){b<d?e<f?(n.Left=Math.max(b,e),n.Right=Math.min(d,f)):(n.Left=Math.max(b,f),n.Right=Math.min(d,e)):e<f?(n.Left=Math.max(d,e),n.Right=Math.min(b,f)):(n.Left=Math.max(d,f),
+n.Right=Math.min(b,e));return n.Left<n.Right};f.Clipper.prototype.JoinHorz=function(b,d,e,q,n,k){var v=b.Pt.X>d.Pt.X?f.Direction.dRightToLeft:f.Direction.dLeftToRight;q=e.Pt.X>q.Pt.X?f.Direction.dRightToLeft:f.Direction.dLeftToRight;if(v==q)return!1;if(v==f.Direction.dLeftToRight){for(;b.Next.Pt.X<=n.X&&b.Next.Pt.X>=b.Pt.X&&b.Next.Pt.Y==n.Y;)b=b.Next;k&&b.Pt.X!=n.X&&(b=b.Next);d=this.DupOutPt(b,!k);f.IntPoint.op_Inequality(d.Pt,n)&&(b=d,b.Pt.X=n.X,b.Pt.Y=n.Y,f.use_xyz&&(b.Pt.Z=n.Z),d=this.DupOutPt(b,
+!k))}else{for(;b.Next.Pt.X>=n.X&&b.Next.Pt.X<=b.Pt.X&&b.Next.Pt.Y==n.Y;)b=b.Next;k||b.Pt.X==n.X||(b=b.Next);d=this.DupOutPt(b,k);f.IntPoint.op_Inequality(d.Pt,n)&&(b=d,b.Pt.X=n.X,b.Pt.Y=n.Y,f.use_xyz&&(b.Pt.Z=n.Z),d=this.DupOutPt(b,k))}if(q==f.Direction.dLeftToRight){for(;e.Next.Pt.X<=n.X&&e.Next.Pt.X>=e.Pt.X&&e.Next.Pt.Y==n.Y;)e=e.Next;k&&e.Pt.X!=n.X&&(e=e.Next);q=this.DupOutPt(e,!k);f.IntPoint.op_Inequality(q.Pt,n)&&(e=q,e.Pt.X=n.X,e.Pt.Y=n.Y,f.use_xyz&&(e.Pt.Z=n.Z),q=this.DupOutPt(e,!k))}else{for(;e.Next.Pt.X>=
+n.X&&e.Next.Pt.X<=e.Pt.X&&e.Next.Pt.Y==n.Y;)e=e.Next;k||e.Pt.X==n.X||(e=e.Next);q=this.DupOutPt(e,k);f.IntPoint.op_Inequality(q.Pt,n)&&(e=q,e.Pt.X=n.X,e.Pt.Y=n.Y,f.use_xyz&&(e.Pt.Z=n.Z),q=this.DupOutPt(e,k))}v==f.Direction.dLeftToRight==k?(b.Prev=e,e.Next=b,d.Next=q,q.Prev=d):(b.Next=e,e.Prev=b,d.Prev=q,q.Next=d);return!0};f.Clipper.prototype.JoinPoints=function(b,d,e){var q=b.OutPt1,n;new f.OutPt;var k=b.OutPt2,v;new f.OutPt;if((v=b.OutPt1.Pt.Y==b.OffPt.Y)&&f.IntPoint.op_Equality(b.OffPt,b.OutPt1.Pt)&&
+f.IntPoint.op_Equality(b.OffPt,b.OutPt2.Pt)){if(d!=e)return!1;for(n=b.OutPt1.Next;n!=q&&f.IntPoint.op_Equality(n.Pt,b.OffPt);)n=n.Next;n=n.Pt.Y>b.OffPt.Y;for(v=b.OutPt2.Next;v!=k&&f.IntPoint.op_Equality(v.Pt,b.OffPt);)v=v.Next;if(n==v.Pt.Y>b.OffPt.Y)return!1;n?(n=this.DupOutPt(q,!1),v=this.DupOutPt(k,!0),q.Prev=k,k.Next=q,n.Next=v,v.Prev=n):(n=this.DupOutPt(q,!0),v=this.DupOutPt(k,!1),q.Next=k,k.Prev=q,n.Prev=v,v.Next=n);b.OutPt1=q;b.OutPt2=n;return!0}if(v){for(n=q;q.Prev.Pt.Y==q.Pt.Y&&q.Prev!=n&&
+q.Prev!=k;)q=q.Prev;for(;n.Next.Pt.Y==n.Pt.Y&&n.Next!=q&&n.Next!=k;)n=n.Next;if(n.Next==q||n.Next==k)return!1;for(v=k;k.Prev.Pt.Y==k.Pt.Y&&k.Prev!=v&&k.Prev!=n;)k=k.Prev;for(;v.Next.Pt.Y==v.Pt.Y&&v.Next!=k&&v.Next!=q;)v=v.Next;if(v.Next==k||v.Next==q)return!1;e={Left:null,Right:null};if(!this.GetOverlap(q.Pt.X,n.Pt.X,k.Pt.X,v.Pt.X,e))return!1;d=e.Left;var C=e.Right;e=new f.IntPoint;q.Pt.X>=d&&q.Pt.X<=C?(e.X=q.Pt.X,e.Y=q.Pt.Y,f.use_xyz&&(e.Z=q.Pt.Z),d=q.Pt.X>n.Pt.X):k.Pt.X>=d&&k.Pt.X<=C?(e.X=k.Pt.X,
+e.Y=k.Pt.Y,f.use_xyz&&(e.Z=k.Pt.Z),d=k.Pt.X>v.Pt.X):n.Pt.X>=d&&n.Pt.X<=C?(e.X=n.Pt.X,e.Y=n.Pt.Y,f.use_xyz&&(e.Z=n.Pt.Z),d=n.Pt.X>q.Pt.X):(e.X=v.Pt.X,e.Y=v.Pt.Y,f.use_xyz&&(e.Z=v.Pt.Z),d=v.Pt.X>k.Pt.X);b.OutPt1=q;b.OutPt2=k;return this.JoinHorz(q,n,k,v,e,d)}for(n=q.Next;f.IntPoint.op_Equality(n.Pt,q.Pt)&&n!=q;)n=n.Next;if(C=n.Pt.Y>q.Pt.Y||!f.ClipperBase.SlopesEqual(q.Pt,n.Pt,b.OffPt,this.m_UseFullRange)){for(n=q.Prev;f.IntPoint.op_Equality(n.Pt,q.Pt)&&n!=q;)n=n.Prev;if(n.Pt.Y>q.Pt.Y||!f.ClipperBase.SlopesEqual(q.Pt,
+n.Pt,b.OffPt,this.m_UseFullRange))return!1}for(v=k.Next;f.IntPoint.op_Equality(v.Pt,k.Pt)&&v!=k;)v=v.Next;var p=v.Pt.Y>k.Pt.Y||!f.ClipperBase.SlopesEqual(k.Pt,v.Pt,b.OffPt,this.m_UseFullRange);if(p){for(v=k.Prev;f.IntPoint.op_Equality(v.Pt,k.Pt)&&v!=k;)v=v.Prev;if(v.Pt.Y>k.Pt.Y||!f.ClipperBase.SlopesEqual(k.Pt,v.Pt,b.OffPt,this.m_UseFullRange))return!1}if(n==q||v==k||n==v||d==e&&C==p)return!1;C?(n=this.DupOutPt(q,!1),v=this.DupOutPt(k,!0),q.Prev=k,k.Next=q,n.Next=v,v.Prev=n):(n=this.DupOutPt(q,!0),
+v=this.DupOutPt(k,!1),q.Next=k,k.Prev=q,n.Prev=v,v.Next=n);b.OutPt1=q;b.OutPt2=n;return!0};f.Clipper.GetBounds=function(b){for(var d=0,e=b.length;d<e&&0==b[d].length;)d++;if(d==e)return new f.IntRect(0,0,0,0);var q=new f.IntRect;q.left=b[d][0].X;q.right=q.left;q.top=b[d][0].Y;for(q.bottom=q.top;d<e;d++)for(var k=0,N=b[d].length;k<N;k++)b[d][k].X<q.left?q.left=b[d][k].X:b[d][k].X>q.right&&(q.right=b[d][k].X),b[d][k].Y<q.top?q.top=b[d][k].Y:b[d][k].Y>q.bottom&&(q.bottom=b[d][k].Y);return q};f.Clipper.prototype.GetBounds2=
+function(b){var d=b,e=new f.IntRect;e.left=b.Pt.X;e.right=b.Pt.X;e.top=b.Pt.Y;e.bottom=b.Pt.Y;for(b=b.Next;b!=d;)b.Pt.X<e.left&&(e.left=b.Pt.X),b.Pt.X>e.right&&(e.right=b.Pt.X),b.Pt.Y<e.top&&(e.top=b.Pt.Y),b.Pt.Y>e.bottom&&(e.bottom=b.Pt.Y),b=b.Next;return e};f.Clipper.PointInPolygon=function(b,d){var e=0,f=d.length;if(3>f)return 0;for(var k=d[0],N=1;N<=f;++N){var v=N==f?d[0]:d[N];if(v.Y==b.Y&&(v.X==b.X||k.Y==b.Y&&v.X>b.X==k.X<b.X))return-1;if(k.Y<b.Y!=v.Y<b.Y)if(k.X>=b.X)if(v.X>b.X)e=1-e;else{var C=
+(k.X-b.X)*(v.Y-b.Y)-(v.X-b.X)*(k.Y-b.Y);if(0==C)return-1;0<C==v.Y>k.Y&&(e=1-e)}else if(v.X>b.X){C=(k.X-b.X)*(v.Y-b.Y)-(v.X-b.X)*(k.Y-b.Y);if(0==C)return-1;0<C==v.Y>k.Y&&(e=1-e)}k=v}return e};f.Clipper.prototype.PointInPolygon=function(b,d){var e=0,f=d,k=b.X,N=b.Y,v=d.Pt.X,C=d.Pt.Y;do{d=d.Next;var p=d.Pt.X,F=d.Pt.Y;if(F==N&&(p==k||C==N&&p>k==v<k))return-1;if(C<N!=F<N)if(v>=k)if(p>k)e=1-e;else{v=(v-k)*(F-N)-(p-k)*(C-N);if(0==v)return-1;0<v==F>C&&(e=1-e)}else if(p>k){v=(v-k)*(F-N)-(p-k)*(C-N);if(0==
+v)return-1;0<v==F>C&&(e=1-e)}v=p;C=F}while(f!=d);return e};f.Clipper.prototype.Poly2ContainsPoly1=function(b,d){var e=b;do{var f=this.PointInPolygon(e.Pt,d);if(0<=f)return 0<f;e=e.Next}while(e!=b);return!0};f.Clipper.prototype.FixupFirstLefts1=function(b,d){for(var e=0,f=this.m_PolyOuts.length;e<f;e++){var k=this.m_PolyOuts[e];null!=k.Pts&&null!=k.FirstLeft&&this.ParseFirstLeft(k.FirstLeft)==b&&this.Poly2ContainsPoly1(k.Pts,d.Pts)&&(k.FirstLeft=d)}};f.Clipper.prototype.FixupFirstLefts2=function(b,
+d){for(var e=0,f=this.m_PolyOuts,k=f.length,p=f[e];e<k;e++,p=f[e])p.FirstLeft==b&&(p.FirstLeft=d)};f.Clipper.ParseFirstLeft=function(b){for(;null!=b&&null==b.Pts;)b=b.FirstLeft;return b};f.Clipper.prototype.JoinCommonEdges=function(){for(var b=0,d=this.m_Joins.length;b<d;b++){var e=this.m_Joins[b],k=this.GetOutRec(e.OutPt1.Idx),n=this.GetOutRec(e.OutPt2.Idx);if(null!=k.Pts&&null!=n.Pts){var p;p=k==n?k:this.Param1RightOfParam2(k,n)?n:this.Param1RightOfParam2(n,k)?k:this.GetLowermostRec(k,n);if(this.JoinPoints(e,
+k,n))if(k==n){k.Pts=e.OutPt1;k.BottomPt=null;n=this.CreateOutRec();n.Pts=e.OutPt2;this.UpdateOutPtIdxs(n);if(this.m_UsingPolyTree){p=0;for(var v=this.m_PolyOuts.length;p<v-1;p++){var C=this.m_PolyOuts[p];null!=C.Pts&&f.Clipper.ParseFirstLeft(C.FirstLeft)==k&&C.IsHole!=k.IsHole&&this.Poly2ContainsPoly1(C.Pts,e.OutPt2)&&(C.FirstLeft=n)}}this.Poly2ContainsPoly1(n.Pts,k.Pts)?(n.IsHole=!k.IsHole,n.FirstLeft=k,this.m_UsingPolyTree&&this.FixupFirstLefts2(n,k),(n.IsHole^this.ReverseSolution)==0<this.Area(n)&&
+this.ReversePolyPtLinks(n.Pts)):this.Poly2ContainsPoly1(k.Pts,n.Pts)?(n.IsHole=k.IsHole,k.IsHole=!n.IsHole,n.FirstLeft=k.FirstLeft,k.FirstLeft=n,this.m_UsingPolyTree&&this.FixupFirstLefts2(k,n),(k.IsHole^this.ReverseSolution)==0<this.Area(k)&&this.ReversePolyPtLinks(k.Pts)):(n.IsHole=k.IsHole,n.FirstLeft=k.FirstLeft,this.m_UsingPolyTree&&this.FixupFirstLefts1(k,n))}else n.Pts=null,n.BottomPt=null,n.Idx=k.Idx,k.IsHole=p.IsHole,p==n&&(k.FirstLeft=n.FirstLeft),n.FirstLeft=k,this.m_UsingPolyTree&&this.FixupFirstLefts2(n,
+k)}}};f.Clipper.prototype.UpdateOutPtIdxs=function(b){var d=b.Pts;do d.Idx=b.Idx,d=d.Prev;while(d!=b.Pts)};f.Clipper.prototype.DoSimplePolygons=function(){for(var b=0;b<this.m_PolyOuts.length;){var d=this.m_PolyOuts[b++],e=d.Pts;if(null!=e&&!d.IsOpen){do{for(var k=e.Next;k!=d.Pts;){if(f.IntPoint.op_Equality(e.Pt,k.Pt)&&k.Next!=e&&k.Prev!=e){var n=e.Prev,p=k.Prev;e.Prev=p;p.Next=e;k.Prev=n;n.Next=k;d.Pts=e;n=this.CreateOutRec();n.Pts=k;this.UpdateOutPtIdxs(n);this.Poly2ContainsPoly1(n.Pts,d.Pts)?(n.IsHole=
+!d.IsHole,n.FirstLeft=d,this.m_UsingPolyTree&&this.FixupFirstLefts2(n,d)):this.Poly2ContainsPoly1(d.Pts,n.Pts)?(n.IsHole=d.IsHole,d.IsHole=!n.IsHole,n.FirstLeft=d.FirstLeft,d.FirstLeft=n,this.m_UsingPolyTree&&this.FixupFirstLefts2(d,n)):(n.IsHole=d.IsHole,n.FirstLeft=d.FirstLeft,this.m_UsingPolyTree&&this.FixupFirstLefts1(d,n));k=e}k=k.Next}e=e.Next}while(e!=d.Pts)}}};f.Clipper.Area=function(b){var d=b.length;if(3>d)return 0;for(var e=0,f=0,k=d-1;f<d;++f)e+=(b[k].X+b[f].X)*(b[k].Y-b[f].Y),k=f;return.5*
+-e};f.Clipper.prototype.Area=function(b){var d=b.Pts;if(null==d)return 0;var e=0;do e+=(d.Prev.Pt.X+d.Pt.X)*(d.Prev.Pt.Y-d.Pt.Y),d=d.Next;while(d!=b.Pts);return.5*e};f.Clipper.SimplifyPolygon=function(b,d){var e=[],k=new f.Clipper(0);k.StrictlySimple=!0;k.AddPath(b,f.PolyType.ptSubject,!0);k.Execute(f.ClipType.ctUnion,e,d,d);return e};f.Clipper.SimplifyPolygons=function(b,d){"undefined"==typeof d&&(d=f.PolyFillType.pftEvenOdd);var e=[],k=new f.Clipper(0);k.StrictlySimple=!0;k.AddPaths(b,f.PolyType.ptSubject,
+!0);k.Execute(f.ClipType.ctUnion,e,d,d);return e};f.Clipper.DistanceSqrd=function(b,d){var e=b.X-d.X,f=b.Y-d.Y;return e*e+f*f};f.Clipper.DistanceFromLineSqrd=function(b,d,e){var f=d.Y-e.Y;e=e.X-d.X;d=f*d.X+e*d.Y;d=f*b.X+e*b.Y-d;return d*d/(f*f+e*e)};f.Clipper.SlopesNearCollinear=function(b,d,e,k){return Math.abs(b.X-d.X)>Math.abs(b.Y-d.Y)?b.X>d.X==b.X<e.X?f.Clipper.DistanceFromLineSqrd(b,d,e)<k:d.X>b.X==d.X<e.X?f.Clipper.DistanceFromLineSqrd(d,b,e)<k:f.Clipper.DistanceFromLineSqrd(e,b,d)<k:b.Y>d.Y==
+b.Y<e.Y?f.Clipper.DistanceFromLineSqrd(b,d,e)<k:d.Y>b.Y==d.Y<e.Y?f.Clipper.DistanceFromLineSqrd(d,b,e)<k:f.Clipper.DistanceFromLineSqrd(e,b,d)<k};f.Clipper.PointsAreClose=function(b,d,e){var f=b.X-d.X;b=b.Y-d.Y;return f*f+b*b<=e};f.Clipper.ExcludeOp=function(b){var d=b.Prev;d.Next=b.Next;b.Next.Prev=d;d.Idx=0;return d};f.Clipper.CleanPolygon=function(b,d){"undefined"==typeof d&&(d=1.415);var e=b.length;if(0==e)return[];for(var k=Array(e),n=0;n<e;++n)k[n]=new f.OutPt;for(n=0;n<e;++n)k[n].Pt=b[n],k[n].Next=
+k[(n+1)%e],k[n].Next.Prev=k[n],k[n].Idx=0;n=d*d;for(k=k[0];0==k.Idx&&k.Next!=k.Prev;)f.Clipper.PointsAreClose(k.Pt,k.Prev.Pt,n)?(k=f.Clipper.ExcludeOp(k),e--):f.Clipper.PointsAreClose(k.Prev.Pt,k.Next.Pt,n)?(f.Clipper.ExcludeOp(k.Next),k=f.Clipper.ExcludeOp(k),e-=2):f.Clipper.SlopesNearCollinear(k.Prev.Pt,k.Pt,k.Next.Pt,n)?(k=f.Clipper.ExcludeOp(k),e--):(k.Idx=1,k=k.Next);3>e&&(e=0);for(var p=Array(e),n=0;n<e;++n)p[n]=new f.IntPoint(k.Pt),k=k.Next;return p};f.Clipper.CleanPolygons=function(b,d){for(var e=
+Array(b.length),k=0,n=b.length;k<n;k++)e[k]=f.Clipper.CleanPolygon(b[k],d);return e};f.Clipper.Minkowski=function(b,d,e,k){k=k?1:0;var n=b.length,p=d.length,v=[];if(e)for(e=0;e<p;e++){for(var C=Array(n),F=0,E=b.length,H=b[F];F<E;F++,H=b[F])C[F]=new f.IntPoint(d[e].X+H.X,d[e].Y+H.Y);v.push(C)}else for(e=0;e<p;e++){C=Array(n);F=0;E=b.length;for(H=b[F];F<E;F++,H=b[F])C[F]=new f.IntPoint(d[e].X-H.X,d[e].Y-H.Y);v.push(C)}b=[];for(e=0;e<p-1+k;e++)for(F=0;F<n;F++)d=[],d.push(v[e%p][F%n]),d.push(v[(e+1)%
+p][F%n]),d.push(v[(e+1)%p][(F+1)%n]),d.push(v[e%p][(F+1)%n]),f.Clipper.Orientation(d)||d.reverse(),b.push(d);return b};f.Clipper.MinkowskiSum=function(b,d,e){if(d[0]instanceof Array){v=d;d=new f.Paths;for(var k=new f.Clipper,n=0;n<v.length;++n){var p=f.Clipper.Minkowski(b,v[n],!0,e);k.AddPaths(p,f.PolyType.ptSubject,!0);e&&(p=f.Clipper.TranslatePath(v[n],b[0]),k.AddPath(p,f.PolyType.ptClip,!0))}k.Execute(f.ClipType.ctUnion,d,f.PolyFillType.pftNonZero,f.PolyFillType.pftNonZero);return d}var v=f.Clipper.Minkowski(b,
+d,!0,e),k=new f.Clipper;k.AddPaths(v,f.PolyType.ptSubject,!0);k.Execute(f.ClipType.ctUnion,v,f.PolyFillType.pftNonZero,f.PolyFillType.pftNonZero);return v};f.Clipper.TranslatePath=function(b,d){for(var e=new f.Path,k=0;k<b.length;k++)e.push(new f.IntPoint(b[k].X+d.X,b[k].Y+d.Y));return e};f.Clipper.MinkowskiDiff=function(b,d){var e=f.Clipper.Minkowski(b,d,!1,!0),k=new f.Clipper;k.AddPaths(e,f.PolyType.ptSubject,!0);k.Execute(f.ClipType.ctUnion,e,f.PolyFillType.pftNonZero,f.PolyFillType.pftNonZero);
+return e};f.Clipper.PolyTreeToPaths=function(b){var d=[];f.Clipper.AddPolyNodeToPaths(b,f.Clipper.NodeType.ntAny,d);return d};f.Clipper.AddPolyNodeToPaths=function(b,d,e){var k=!0;switch(d){case f.Clipper.NodeType.ntOpen:return;case f.Clipper.NodeType.ntClosed:k=!b.IsOpen}0<b.m_polygon.length&&k&&e.push(b.m_polygon);k=0;b=b.Childs();for(var n=b.length,p=b[k];k<n;k++,p=b[k])f.Clipper.AddPolyNodeToPaths(p,d,e)};f.Clipper.OpenPathsFromPolyTree=function(b){for(var d=new f.Paths,e=0,k=b.ChildCount();e<
+k;e++)b.Childs()[e].IsOpen&&d.push(b.Childs()[e].m_polygon);return d};f.Clipper.ClosedPathsFromPolyTree=function(b){var d=new f.Paths;f.Clipper.AddPolyNodeToPaths(b,f.Clipper.NodeType.ntClosed,d);return d};V(f.Clipper,f.ClipperBase);f.Clipper.NodeType={ntAny:0,ntOpen:1,ntClosed:2};f.ClipperOffset=function(b,d){"undefined"==typeof b&&(b=2);"undefined"==typeof d&&(d=f.ClipperOffset.def_arc_tolerance);this.m_destPolys=new f.Paths;this.m_srcPoly=new f.Path;this.m_destPoly=new f.Path;this.m_normals=[];
+this.m_StepsPerRad=this.m_miterLim=this.m_cos=this.m_sin=this.m_sinA=this.m_delta=0;this.m_lowest=new f.IntPoint;this.m_polyNodes=new f.PolyNode;this.MiterLimit=b;this.ArcTolerance=d;this.m_lowest.X=-1};f.ClipperOffset.two_pi=6.28318530717959;f.ClipperOffset.def_arc_tolerance=.25;f.ClipperOffset.prototype.Clear=function(){f.Clear(this.m_polyNodes.Childs());this.m_lowest.X=-1};f.ClipperOffset.Round=f.Clipper.Round;f.ClipperOffset.prototype.AddPath=function(b,d,e){var k=b.length-1;if(!(0>k)){var n=
+new f.PolyNode;n.m_jointype=d;n.m_endtype=e;if(e==f.EndType.etClosedLine||e==f.EndType.etClosedPolygon)for(;0<k&&f.IntPoint.op_Equality(b[0],b[k]);)k--;n.m_polygon.push(b[0]);var p=0;d=0;for(var v=1;v<=k;v++)f.IntPoint.op_Inequality(n.m_polygon[p],b[v])&&(p++,n.m_polygon.push(b[v]),b[v].Y>n.m_polygon[d].Y||b[v].Y==n.m_polygon[d].Y&&b[v].X<n.m_polygon[d].X)&&(d=p);if(!(e==f.EndType.etClosedPolygon&&2>p)&&(this.m_polyNodes.AddChild(n),e==f.EndType.etClosedPolygon))if(0>this.m_lowest.X)this.m_lowest=
+new f.IntPoint(this.m_polyNodes.ChildCount()-1,d);else if(b=this.m_polyNodes.Childs()[this.m_lowest.X].m_polygon[this.m_lowest.Y],n.m_polygon[d].Y>b.Y||n.m_polygon[d].Y==b.Y&&n.m_polygon[d].X<b.X)this.m_lowest=new f.IntPoint(this.m_polyNodes.ChildCount()-1,d)}};f.ClipperOffset.prototype.AddPaths=function(b,d,e){for(var f=0,k=b.length;f<k;f++)this.AddPath(b[f],d,e)};f.ClipperOffset.prototype.FixOrientations=function(){if(0<=this.m_lowest.X&&!f.Clipper.Orientation(this.m_polyNodes.Childs()[this.m_lowest.X].m_polygon))for(var b=
+0;b<this.m_polyNodes.ChildCount();b++){var d=this.m_polyNodes.Childs()[b];(d.m_endtype==f.EndType.etClosedPolygon||d.m_endtype==f.EndType.etClosedLine&&f.Clipper.Orientation(d.m_polygon))&&d.m_polygon.reverse()}else for(b=0;b<this.m_polyNodes.ChildCount();b++)d=this.m_polyNodes.Childs()[b],d.m_endtype!=f.EndType.etClosedLine||f.Clipper.Orientation(d.m_polygon)||d.m_polygon.reverse()};f.ClipperOffset.GetUnitNormal=function(b,d){var e=d.X-b.X,k=d.Y-b.Y;if(0==e&&0==k)return new f.DoublePoint(0,0);var n=
+1/Math.sqrt(e*e+k*k);return new f.DoublePoint(k*n,-(e*n))};f.ClipperOffset.prototype.DoOffset=function(b){this.m_destPolys=[];this.m_delta=b;if(f.ClipperBase.near_zero(b))for(var d=0;d<this.m_polyNodes.ChildCount();d++){var e=this.m_polyNodes.Childs()[d];e.m_endtype==f.EndType.etClosedPolygon&&this.m_destPolys.push(e.m_polygon)}else{this.m_miterLim=2<this.MiterLimit?2/(this.MiterLimit*this.MiterLimit):.5;var k=3.14159265358979/Math.acos(1-(0>=this.ArcTolerance?f.ClipperOffset.def_arc_tolerance:this.ArcTolerance>
+Math.abs(b)*f.ClipperOffset.def_arc_tolerance?Math.abs(b)*f.ClipperOffset.def_arc_tolerance:this.ArcTolerance)/Math.abs(b));this.m_sin=Math.sin(f.ClipperOffset.two_pi/k);this.m_cos=Math.cos(f.ClipperOffset.two_pi/k);this.m_StepsPerRad=k/f.ClipperOffset.two_pi;0>b&&(this.m_sin=-this.m_sin);for(d=0;d<this.m_polyNodes.ChildCount();d++){e=this.m_polyNodes.Childs()[d];this.m_srcPoly=e.m_polygon;var n=this.m_srcPoly.length;if(!(0==n||0>=b&&(3>n||e.m_endtype!=f.EndType.etClosedPolygon))){this.m_destPoly=
+[];if(1==n)if(e.m_jointype==f.JoinType.jtRound)for(var e=1,n=0,p=1;p<=k;p++){this.m_destPoly.push(new f.IntPoint(f.ClipperOffset.Round(this.m_srcPoly[0].X+e*b),f.ClipperOffset.Round(this.m_srcPoly[0].Y+n*b)));var v=e,e=e*this.m_cos-this.m_sin*n,n=v*this.m_sin+n*this.m_cos}else for(n=e=-1,p=0;4>p;++p)this.m_destPoly.push(new f.IntPoint(f.ClipperOffset.Round(this.m_srcPoly[0].X+e*b),f.ClipperOffset.Round(this.m_srcPoly[0].Y+n*b))),0>e?e=1:0>n?n=1:e=-1;else{for(p=this.m_normals.length=0;p<n-1;p++)this.m_normals.push(f.ClipperOffset.GetUnitNormal(this.m_srcPoly[p],
+this.m_srcPoly[p+1]));e.m_endtype==f.EndType.etClosedLine||e.m_endtype==f.EndType.etClosedPolygon?this.m_normals.push(f.ClipperOffset.GetUnitNormal(this.m_srcPoly[n-1],this.m_srcPoly[0])):this.m_normals.push(new f.DoublePoint(this.m_normals[n-2]));if(e.m_endtype==f.EndType.etClosedPolygon)for(v=n-1,p=0;p<n;p++)v=this.OffsetPoint(p,v,e.m_jointype);else if(e.m_endtype==f.EndType.etClosedLine){v=n-1;for(p=0;p<n;p++)v=this.OffsetPoint(p,v,e.m_jointype);this.m_destPolys.push(this.m_destPoly);this.m_destPoly=
+[];v=this.m_normals[n-1];for(p=n-1;0<p;p--)this.m_normals[p]=new f.DoublePoint(-this.m_normals[p-1].X,-this.m_normals[p-1].Y);this.m_normals[0]=new f.DoublePoint(-v.X,-v.Y);v=0;for(p=n-1;0<=p;p--)v=this.OffsetPoint(p,v,e.m_jointype)}else{v=0;for(p=1;p<n-1;++p)v=this.OffsetPoint(p,v,e.m_jointype);e.m_endtype==f.EndType.etOpenButt?(p=n-1,v=new f.IntPoint(f.ClipperOffset.Round(this.m_srcPoly[p].X+this.m_normals[p].X*b),f.ClipperOffset.Round(this.m_srcPoly[p].Y+this.m_normals[p].Y*b)),this.m_destPoly.push(v),
+v=new f.IntPoint(f.ClipperOffset.Round(this.m_srcPoly[p].X-this.m_normals[p].X*b),f.ClipperOffset.Round(this.m_srcPoly[p].Y-this.m_normals[p].Y*b)),this.m_destPoly.push(v)):(p=n-1,v=n-2,this.m_sinA=0,this.m_normals[p]=new f.DoublePoint(-this.m_normals[p].X,-this.m_normals[p].Y),e.m_endtype==f.EndType.etOpenSquare?this.DoSquare(p,v):this.DoRound(p,v));for(p=n-1;0<p;p--)this.m_normals[p]=new f.DoublePoint(-this.m_normals[p-1].X,-this.m_normals[p-1].Y);this.m_normals[0]=new f.DoublePoint(-this.m_normals[1].X,
+-this.m_normals[1].Y);v=n-1;for(p=v-1;0<p;--p)v=this.OffsetPoint(p,v,e.m_jointype);e.m_endtype==f.EndType.etOpenButt?(v=new f.IntPoint(f.ClipperOffset.Round(this.m_srcPoly[0].X-this.m_normals[0].X*b),f.ClipperOffset.Round(this.m_srcPoly[0].Y-this.m_normals[0].Y*b)),this.m_destPoly.push(v),v=new f.IntPoint(f.ClipperOffset.Round(this.m_srcPoly[0].X+this.m_normals[0].X*b),f.ClipperOffset.Round(this.m_srcPoly[0].Y+this.m_normals[0].Y*b)),this.m_destPoly.push(v)):(this.m_sinA=0,e.m_endtype==f.EndType.etOpenSquare?
+this.DoSquare(0,1):this.DoRound(0,1))}}this.m_destPolys.push(this.m_destPoly)}}}};f.ClipperOffset.prototype.Execute=function(){var b=arguments;if(b[0]instanceof f.PolyTree)if(d=b[0],e=b[1],d.Clear(),this.FixOrientations(),this.DoOffset(e),b=new f.Clipper(0),b.AddPaths(this.m_destPolys,f.PolyType.ptSubject,!0),0<e)b.Execute(f.ClipType.ctUnion,d,f.PolyFillType.pftPositive,f.PolyFillType.pftPositive);else if(e=f.Clipper.GetBounds(this.m_destPolys),k=new f.Path,k.push(new f.IntPoint(e.left-10,e.bottom+
+10)),k.push(new f.IntPoint(e.right+10,e.bottom+10)),k.push(new f.IntPoint(e.right+10,e.top-10)),k.push(new f.IntPoint(e.left-10,e.top-10)),b.AddPath(k,f.PolyType.ptSubject,!0),b.ReverseSolution=!0,b.Execute(f.ClipType.ctUnion,d,f.PolyFillType.pftNegative,f.PolyFillType.pftNegative),1==d.ChildCount()&&0<d.Childs()[0].ChildCount())for(b=d.Childs()[0],d.Childs()[0]=b.Childs()[0],d.Childs()[0].m_Parent=d,e=1;e<b.ChildCount();e++)d.AddChild(b.Childs()[e]);else d.Clear();else{var d=b[0],e=b[1];f.Clear(d);
+this.FixOrientations();this.DoOffset(e);b=new f.Clipper(0);b.AddPaths(this.m_destPolys,f.PolyType.ptSubject,!0);if(0<e)b.Execute(f.ClipType.ctUnion,d,f.PolyFillType.pftPositive,f.PolyFillType.pftPositive);else{var e=f.Clipper.GetBounds(this.m_destPolys),k=new f.Path;k.push(new f.IntPoint(e.left-10,e.bottom+10));k.push(new f.IntPoint(e.right+10,e.bottom+10));k.push(new f.IntPoint(e.right+10,e.top-10));k.push(new f.IntPoint(e.left-10,e.top-10));b.AddPath(k,f.PolyType.ptSubject,!0);b.ReverseSolution=
+!0;b.Execute(f.ClipType.ctUnion,d,f.PolyFillType.pftNegative,f.PolyFillType.pftNegative);0<d.length&&d.splice(0,1)}}};f.ClipperOffset.prototype.OffsetPoint=function(b,d,e){this.m_sinA=this.m_normals[d].X*this.m_normals[b].Y-this.m_normals[b].X*this.m_normals[d].Y;if(1>Math.abs(this.m_sinA*this.m_delta)){if(0<this.m_normals[d].X*this.m_normals[b].X+this.m_normals[b].Y*this.m_normals[d].Y)return this.m_destPoly.push(new f.IntPoint(f.ClipperOffset.Round(this.m_srcPoly[b].X+this.m_normals[d].X*this.m_delta),
+f.ClipperOffset.Round(this.m_srcPoly[b].Y+this.m_normals[d].Y*this.m_delta))),d}else 1<this.m_sinA?this.m_sinA=1:-1>this.m_sinA&&(this.m_sinA=-1);if(0>this.m_sinA*this.m_delta)this.m_destPoly.push(new f.IntPoint(f.ClipperOffset.Round(this.m_srcPoly[b].X+this.m_normals[d].X*this.m_delta),f.ClipperOffset.Round(this.m_srcPoly[b].Y+this.m_normals[d].Y*this.m_delta))),this.m_destPoly.push(new f.IntPoint(this.m_srcPoly[b])),this.m_destPoly.push(new f.IntPoint(f.ClipperOffset.Round(this.m_srcPoly[b].X+this.m_normals[b].X*
+this.m_delta),f.ClipperOffset.Round(this.m_srcPoly[b].Y+this.m_normals[b].Y*this.m_delta)));else switch(e){case f.JoinType.jtMiter:e=1+(this.m_normals[b].X*this.m_normals[d].X+this.m_normals[b].Y*this.m_normals[d].Y);e>=this.m_miterLim?this.DoMiter(b,d,e):this.DoSquare(b,d);break;case f.JoinType.jtSquare:this.DoSquare(b,d);break;case f.JoinType.jtRound:this.DoRound(b,d)}return b};f.ClipperOffset.prototype.DoSquare=function(b,d){var e=Math.tan(Math.atan2(this.m_sinA,this.m_normals[d].X*this.m_normals[b].X+
+this.m_normals[d].Y*this.m_normals[b].Y)/4);this.m_destPoly.push(new f.IntPoint(f.ClipperOffset.Round(this.m_srcPoly[b].X+this.m_delta*(this.m_normals[d].X-this.m_normals[d].Y*e)),f.ClipperOffset.Round(this.m_srcPoly[b].Y+this.m_delta*(this.m_normals[d].Y+this.m_normals[d].X*e))));this.m_destPoly.push(new f.IntPoint(f.ClipperOffset.Round(this.m_srcPoly[b].X+this.m_delta*(this.m_normals[b].X+this.m_normals[b].Y*e)),f.ClipperOffset.Round(this.m_srcPoly[b].Y+this.m_delta*(this.m_normals[b].Y-this.m_normals[b].X*
+e))))};f.ClipperOffset.prototype.DoMiter=function(b,d,e){e=this.m_delta/e;this.m_destPoly.push(new f.IntPoint(f.ClipperOffset.Round(this.m_srcPoly[b].X+(this.m_normals[d].X+this.m_normals[b].X)*e),f.ClipperOffset.Round(this.m_srcPoly[b].Y+(this.m_normals[d].Y+this.m_normals[b].Y)*e)))};f.ClipperOffset.prototype.DoRound=function(b,d){for(var e=Math.max(f.Cast_Int32(f.ClipperOffset.Round(this.m_StepsPerRad*Math.abs(Math.atan2(this.m_sinA,this.m_normals[d].X*this.m_normals[b].X+this.m_normals[d].Y*this.m_normals[b].Y)))),
+1),k=this.m_normals[d].X,n=this.m_normals[d].Y,p,v=0;v<e;++v)this.m_destPoly.push(new f.IntPoint(f.ClipperOffset.Round(this.m_srcPoly[b].X+k*this.m_delta),f.ClipperOffset.Round(this.m_srcPoly[b].Y+n*this.m_delta))),p=k,k=k*this.m_cos-this.m_sin*n,n=p*this.m_sin+n*this.m_cos;this.m_destPoly.push(new f.IntPoint(f.ClipperOffset.Round(this.m_srcPoly[b].X+this.m_normals[b].X*this.m_delta),f.ClipperOffset.Round(this.m_srcPoly[b].Y+this.m_normals[b].Y*this.m_delta)))};f.Error=function(b){try{throw Error(b);
+}catch(d){alert(d.message)}};f.JS={};f.JS.AreaOfPolygon=function(b,d){d||(d=1);return f.Clipper.Area(b)/(d*d)};f.JS.AreaOfPolygons=function(b,d){d||(d=1);for(var e=0,k=0;k<b.length;k++)e+=f.Clipper.Area(b[k]);return e/(d*d)};f.JS.BoundsOfPath=function(b,d){return f.JS.BoundsOfPaths([b],d)};f.JS.BoundsOfPaths=function(b,d){d||(d=1);var e=f.Clipper.GetBounds(b);e.left/=d;e.bottom/=d;e.right/=d;e.top/=d;return e};f.JS.Clean=function(b,d){if(!(b instanceof Array))return[];var e=b[0]instanceof Array;b=
+f.JS.Clone(b);if("number"!=typeof d||null===d)return f.Error("Delta is not a number in Clean()."),b;if(0===b.length||1==b.length&&0===b[0].length||0>d)return b;e||(b=[b]);for(var k=b.length,n,p,v,F,E,H,K,I=[],ea=0;ea<k;ea++)if(p=b[ea],n=p.length,0!==n)if(3>n)v=p,I.push(v);else{v=p;F=d*d;E=p[0];for(K=H=1;K<n;K++)(p[K].X-E.X)*(p[K].X-E.X)+(p[K].Y-E.Y)*(p[K].Y-E.Y)<=F||(v[H]=p[K],E=p[K],H++);E=p[H-1];(p[0].X-E.X)*(p[0].X-E.X)+(p[0].Y-E.Y)*(p[0].Y-E.Y)<=F&&H--;H<n&&v.splice(H,n-H);v.length&&I.push(v)}!e&&
+I.length?I=I[0]:e||0!==I.length?e&&0===I.length&&(I=[[]]):I=[];return I};f.JS.Clone=function(b){if(!(b instanceof Array)||0===b.length)return[];if(1==b.length&&0===b[0].length)return[[]];var d=b[0]instanceof Array;d||(b=[b]);var e=b.length,f,k,p,v,F=Array(e);for(k=0;k<e;k++){f=b[k].length;v=Array(f);for(p=0;p<f;p++)v[p]={X:b[k][p].X,Y:b[k][p].Y};F[k]=v}d||(F=F[0]);return F};f.JS.Lighten=function(b,d){if(!(b instanceof Array))return[];if("number"!=typeof d||null===d)return f.Error("Tolerance is not a number in Lighten()."),
+f.JS.Clone(b);if(0===b.length||1==b.length&&0===b[0].length||0>d)return f.JS.Clone(b);b[0]instanceof Array||(b=[b]);var e,k,n,p,v,F,E,H,K,I,ea,U,W,V,Y,Ea=b.length,ja=d*d,aa=[];for(e=0;e<Ea;e++)if(n=b[e],F=n.length,0!=F){for(p=0;1E6>p;p++){v=[];F=n.length;n[F-1].X!=n[0].X||n[F-1].Y!=n[0].Y?(ea=1,n.push({X:n[0].X,Y:n[0].Y}),F=n.length):ea=0;I=[];for(k=0;k<F-2;k++){E=n[k];K=n[k+1];H=n[k+2];V=E.X;Y=E.Y;E=H.X-V;U=H.Y-Y;if(0!==E||0!==U)W=((K.X-V)*E+(K.Y-Y)*U)/(E*E+U*U),1<W?(V=H.X,Y=H.Y):0<W&&(V+=E*W,Y+=
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+imag:h*Math.sin(a.value.imag)}}};l.cos=function(a){var h=a.value.real;a=a.value.imag;var c=Math.exp(a),r=c*Math.sin(-h),b=c*Math.cos(-h),c=Math.exp(-a);return{ctype:"number",value:{real:(b+c*Math.cos(h))/2,imag:(r+c*Math.sin(h))/2}}};l.sin=function(a){var h=a.value.real;a=a.value.imag;var c=Math.exp(a),r=c*Math.sin(-h),b=c*Math.cos(-h),c=Math.exp(-a);return{ctype:"number",value:{real:-(r-c*Math.sin(h))/2,imag:(b-c*Math.cos(h))/2}}};l.tan=function(a){var h=l.sin(a);a=l.cos(a);return l.div(h,a)};l.arccos=
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+a),l.complex(0,.5));return w.withUsage(h,"Angle")};l.arctan2=function(a,h){var c;if(void 0===h)c=l.real(Math.atan2(a.value.imag,a.value.real));else if(l._helper.isReal(a)&&l._helper.isReal(h))c=l.real(Math.atan2(h.value.real,a.value.real));else{c=l.add(a,l.mult(l.complex(0,1),h));var r=l.sqrt(l.add(l.mult(a,a),l.mult(h,h)));c=l.mult(l.complex(0,-1),l.log(l.div(c,r)))}return w.withUsage(c,"Angle")};l.sqrt=function(a){var h=a.value.real,c=a.value.imag;a=Math.sqrt(Math.sqrt(h*h+c*c));h=Math.atan2(c,
+h);return{ctype:"number",value:{real:a*Math.cos(h/2),imag:a*Math.sin(h/2)}}};l.powRealExponent=function(a,h){var c=a.value.real,r=a.value.imag,b=Math.pow(Math.sqrt(c*c+r*r),h),c=Math.atan2(r,c);return{ctype:"number",value:{real:b*Math.cos(c*h),imag:b*Math.sin(c*h)}}};l.log=function(a){var h=a.value.real;a=a.value.imag;var c=Math.sqrt(h*h+a*a),r=Math.atan2(a,h);0>a&&(r+=2*Math.PI);0===a&&0>h&&(r=Math.PI);r>Math.PI&&(r-=2*Math.PI);return l.snap({ctype:"number",value:{real:Math.log(c),imag:r}})};l.pow=
+function(a,h){return l._helper.isZero(h)?l.one:l._helper.isZero(a)?l.zero:l._helper.isReal(h)?l.powRealExponent(a,h.value.real):l.exp(l.mult(l.log(a),h))};l.mod=function(a,h){var c=a.value.real,r=h.value.real,b=a.value.imag,d=h.value.imag,c=c-Math.floor(c/r)*r,b=b-Math.floor(b/d)*d;0===r&&(c=0);0===d&&(b=0);return l.snap({ctype:"number",value:{real:c,imag:b}})};l._helper.seed="NO";l._helper.seedrandom=function(a){a-=Math.floor(a);l._helper.seed=.8*a+.1};l._helper.rand=function(){if("NO"===l._helper.seed)return Math.random();
+var a=l._helper.seed,a=1E3*Math.sin(1E3*a),a=a-Math.floor(a);return l._helper.seed=a};l._helper.randnormal=function(){var a=l._helper.rand(),h=l._helper.rand();return Math.sqrt(-2*Math.log(a))*Math.cos(2*Math.PI*h)};l._helper.isEqual=function(a,h){return a.value.real===h.value.real&&a.value.imag===h.value.imag};l._helper.isLessThan=function(a,h){return a.value.real<h.value.real||a.value.real===h.value.real&&a.value.imag<h.value.imag};l._helper.compare=function(a,h){return 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?
+g.turnIntoCSList([a]):g.EMPTY};g.realVector=function(a){for(var h=[],c=0;c<a.length;c++)h[c]={ctype:"number",value:{real:a[c],imag:0}};return{ctype:"list",value:h}};g._helper.unitvector=function(a,h){var c=g.zerovector(a);c.value[Math.floor(h.value.real-1)]=l.real(1);return c};g.idMatrix=function(a){for(var h=g.zeromatrix(a,a),c=l.real(1),r=0;r<a.value.real;r++)h.value[r].value[r]=c;return h};g._helper.flippedidMatrix=function(a){for(var h=g.zeromatrix(a,a),c=l.real(1),r=0;r<a.value.real;r++)h.value[r].value[a.value.real-
+r-1]=c;return h};g.println=function(a){for(var h=[],c=0;c<a.value.length;c++)if("number"===a.value[c].ctype)h[c]=l.niceprint(a.value[c]);else if("list"===a.value[c].ctype)g.println(a.value[c]);else return k;"number"===a.value[0].ctype&&console.log(h)};g.matrix=function(a){return g.turnIntoCSList(a.map(g.turnIntoCSList))};g.realMatrix=function(a){for(var h=a.length,c=Array(h),r=0;r<h;r++)c[r]=g.realVector(a[r]);return 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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+return!0};g.nullSpace=function(a,h){var c=a.value.length,b=g.RRQRdecomp(g.transjugate(a),h),d=g.transpose(b.Q),b=c-b.rank.value.real,e=Array(b);d.value.reverse();for(var f,k=0;k<b;k++)f=d.value[k],e[k]=g.scaldiv(g.abs(f),f);e=g.turnIntoCSList(e);return 0<e.value.length?e:g.turnIntoCSList([g.zerovector(l.real(c))])};g._helper.isAlmostDiagonal=function(a){var h=a.value.length;l.real(h);l.real(0);if(h!==a.value[0].value.length)return!1;for(var c=0;c<h;c++)for(var b=0;b<h;b++)if(c!==b&&1E-16<l.abs(a.value[c].value[b]).value.real)return!1;
+return!0};g._helper.inverseIteration=function(a,h){console.log("warning: code untested");for(var c=a.value.length,b=Array(c),d=0;d<c;d++)b[d]=2*Math.random()-.5;for(var b=g.realVector(b),c=g.idMatrix(l.real(c),l.real(c)),d=l.add(h,l.real(.1*Math.random()-.5)),e=0;100>e;e++)b=g.scaldiv(g.abs(b),b),b=g.LUsolve(g.sub(a,g.scalmult(d,c)),JSON.parse(JSON.stringify(b)));return g.scaldiv(g.abs(b),b)};g._helper.toHessenberg=function(a){var h=JSON.parse(JSON.stringify(a)),c=h.value.length,b=l.real(c-1),d=l.real(c);
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+function(a){var h=l.real(a.value.length);if(1E-16>g.abs2(a))return g.idMatrix(h,h);var c,b=l.real(1),d=g._helper.unitvector(l.real(a.value.length),b);c=g._helper.QRgetAlpha(a,0);c=g.sub(a,g.scalmult(c,d));c=g.scaldiv(g.abs(c),c);a=l.div(g.sesquilinearproduct(a,c),g.sesquilinearproduct(c,a));h=g.idMatrix(h,h);return h=g.sub(h,g.scalmult(l.add(b,a),g._helper.transposeMult(c,g.conjugate(c))))};g._helper.reOrderbyPivots=function(a,h){for(var c=a.value.length.length,b=g.transpose(a),c=Array(c),d=0;d<h.length;d++)c[h[d]]=
+b.value[d];c=g.turnIntoCSList(c);return g.transpose(c)};g.QRdecomp=function(a){var h,c=a.value.length,b=l.real(c);if(g._helper.isUpperTriangular(a))return{Q:g.idMatrix(b,b),R:a};var d=l.real(1),e=g._helper.unitvector(l.real(a.value.length),d),f,k=g.idMatrix(b,b);a=JSON.parse(JSON.stringify(a));for(var m=0;;m++){h=g._helper.getBlock(a,[m],[m]);h=g.column(h,d);f=g.abs2(h).value.real;1E-8<f&&(h=g._helper.getHouseHolder(h),h=g._helper.buildBlockMatrix(g.idMatrix(l.real(m),l.real(m)),h),k=w.mult(k,g.transjugate(h)),
+a=w.mult(h,a));if(m+2===c)break;b=l.sub(b,d);e.value=e.value.splice(0,e.value.length-1)}return{Q:k,R:a}};g._helper.swapColumn=function(a,h,c){for(var b,d=0;d<a.value.length;d++)b=a.value[d].value[h],a.value[d].value[h]=a.value[d].value[c],a.value[d].value[c]=b};g._helper.buildBlockMatrix=function(a,h){if(0===a.value.length)return h;if(0===h.value.length)return a;for(var c=a.value.length,b=a.value[0].value.length,d=b+h.value[0].value.length,d=g.zeromatrix(l.real(c+h.value.length),l.real(d)),e=0;e<
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+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]=
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+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),
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+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 b=g._helper.colNumb(c);if(-1!==b&&b===c.value.length)return g.inverse(c)}return k};t.linearsolve$2=function(a,h){var c=B(a[0]),b=B(a[1]);if("list"===c.ctype){var d=g._helper.colNumb(c);if(-1!==d&&d===c.value.length&&g._helper.isNumberVecN(b,d))return g.linearsolve(c,b)}return k};var Ud=[[[]],[[0]],[[0,1],[1,0]],[[0,1,2],[0,2,1],[1,0,2],[1,2,0],[2,0,1],[2,1,0]],[[0,1,2,3],[0,1,
+3,2],[0,2,1,3],[0,2,3,1],[0,3,1,2],[0,3,2,1],[1,0,2,3],[1,0,3,2],[1,2,0,3],[1,2,3,0],[1,3,0,2],[1,3,2,0],[2,0,1,3],[2,0,3,1],[2,1,0,3],[2,1,3,0],[2,3,0,1],[2,3,1,0],[3,0,1,2],[3,0,2,1],[3,1,0,2],[3,1,2,0],[3,2,0,1],[3,2,1,0]]];t.mincostmatching$1=function(a,h){var c=A(a[0]);if(g.isNumberMatrix(c).value){var b=c.value.length,d=g._helper.colNumb(c),e=b<d?d:b,f,m,n=Array(e);for(f=0;f<e;++f)for(n[f]=Array(e),m=0;m<e;++m)n[f][m]=f<b&&m<d?c.value[f].value[m].value.real:0;c=nc(n);e=Array(b);for(f=0;f<b;++f)m=
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+if(f===e)return g.turnIntoCSList([b]);n=[];m=Array(f);c(0,0);return g.turnIntoCSList(n)}}return k};t.zeromatrix$2=function(a,h){var c=B(a[0]),b=B(a[1]);return"number"===c.ctype&&"number"===b.ctype?g.zeromatrix(c,b):k};t.zerovector$1=function(a,h){var c=B(a[0]);return"number"===c.ctype?g.zerovector(c):k};t.transpose$1=function(a,h){var c=B(a[0]);return"list"===c.ctype&&-1!==g._helper.colNumb(c)?g.transpose(c):k};t.row$2=function(a,h){var c=B(a[0]),b=B(a[1]);return"number"===b.ctype&&"list"===c.ctype&&
+-1!==g._helper.colNumb(c)?g.row(c,b):k};t.column$2=function(a,h){var c=B(a[0]),b=B(a[1]);return"number"===b.ctype&&"list"===c.ctype&&-1!==g._helper.colNumb(c)?g.column(c,b):k};t.dict$0=function(a,h){var c=Ka.create(),b;for(b in h)h.hasOwnProperty(b)&&Ka.put(c,w.string(b),A(h[b]));return c};t.put$3=function(a,h){var c=A(a[0]),b=A(a[1]),d=A(a[2]);return"dict"===c.ctype?(c=Ka.clone(c),Ka.put(c,b,d),c):k};t.get$2=function(a,h){var 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=
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+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=
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+l.real(c+1)):k};t.indexof$3=function(a,h){var c=A(a[0]),b=A(a[1]),d=A(a[2]);return"string"===c.ctype&&"string"===b.ctype&&"number"===d.ctype?(c=c.value.indexOf(b.value,Math.round(d.value.real)-1),l.real(c+1)):k};t.parse$1=function(a,h){var c=A(a[0]);return"string"===c.ctype?(c=Ra(c.value),A(c)):k};t.unicode$1=function(a,h){var c;c=A(a[0]);var b=16;if(h.base){var d=A(h.base);"number"===d.ctype&&(b=d.value.real)}if("string"===c.ctype)c=parseInt(c.value,b);else if("number"===c.ctype)c=c.value.real;else return k;
+"undefined"!==typeof String.fromCodePoint?c=String.fromCodePoint(c):65535>=c?c=String.fromCharCode(c):(c-=65536,c=String.fromCharCode((c>>10)+55296,(c&1023)+56320));return w.string(c)};t.international$1=function(a,h){return t.international$2([a[0],null],h)};t.international$2=function(a,h){var c=A(a[0]);if("string"!==c.ctype)return k;var b=(p.translations||{})[p.language||"en"]||{};if(!b.hasOwnProperty(c.value))return c;var d=b[c.value];if("string"===typeof d)return w.string(d);if(null===a[1])return c;
+var e=A(a[1]),e="number"===e.ctype?e.value.real:0,b=(b._pluralFormFunction||Vd)(e);return b<d.length?w.string(d[b]):c};t.currentlanguage$0=function(a,h){return w.string(p.language||"en")};D.basismap=function(a,h,c,b){var d=g.turnIntoCSList([a,h,c]),d=g.adjoint3(g.transpose(d));b=w.mult(d,b);d=g.turnIntoCSList([w.mult(b.value[0],a),w.mult(b.value[1],h),w.mult(b.value[2],c)]);return g.transpose(d)};t.map$8=function(a,h){var c=M(a[0]),b=M(a[1]),d=M(a[2]),e=M(a[3]),f=M(a[4]),l=M(a[5]),m=M(a[6]),n=M(a[7]);
+return f!==k&&l!==k&&m!==k&&n!==k&&c!==k&&b!==k&&d!==k&&e!==k?(f=D.basismap(f,l,m,n),c=D.basismap(c,b,d,e),c=w.mult(f,g.adjoint3(c)),g.normalizeMax(c)):k};t.map$6=function(a,h){var c=M(a[0]),b=M(a[1]),d=M(a[2]),e=g.realVector([0,0,1]),f=g.cross,l=f(f(d,f(e,f(c,b))),f(b,f(e,f(c,d)))),m=M(a[3]),n=M(a[4]),p=M(a[5]),e=f(f(p,f(e,f(m,n))),f(n,f(e,f(m,p))));return m!==k&&n!==k&&p!==k&&e!==k&&c!==k&&b!==k&&d!==k&&l!==k?(m=D.basismap(m,n,p,e),c=D.basismap(c,b,d,l),c=w.mult(m,g.adjoint3(c)),g.normalizeMax(c)):
+k};t.map$4=function(a,h){var c=g.ii,b=g.jj,d=M(a[0]),e=M(a[1]),f=M(a[2]),l=M(a[3]);return f!==k&&l!==k&&d!==k&&e!==k?(f=D.basismap(f,l,c,b),c=D.basismap(d,e,c,b),c=w.mult(f,g.adjoint3(c)),g.normalizeMax(c)):k};t.map$2=function(a,h){var c=g.ii,b=g.jj,d=M(a[0]),e=w.add(g.realVector([1,0,0]),d),f=M(a[1]),l=w.add(g.realVector([1,0,0]),f);return f!==k&&l!==k&&d!==k&&e!==k?(f=D.basismap(f,l,c,b),c=D.basismap(d,e,c,b),c=w.mult(f,g.adjoint3(c)),g.normalizeMax(c)):k};t.pointreflect$1=function(a,h){var c=g.ii,
+b=g.jj,d=M(a[0]),e=w.add(g.realVector([1,0,0]),d),f=w.add(g.realVector([-1,0,0]),d);return f!==k&&d!==k&&e!==k?(f=D.basismap(d,f,c,b),c=D.basismap(d,e,c,b),c=w.mult(f,g.adjoint3(c)),g.normalizeMax(c)):k};t.linereflect$1=function(a,h){var c=g.ii,b=g.jj,d=M(a[0]),e=g.realVector([Math.random(),Math.random(),Math.random()]),f=g.realVector([Math.random(),Math.random(),Math.random()]),e=g.cross(e,d),f=g.cross(f,d);return d!==k&&e!==k?(d=D.basismap(e,f,c,b),c=D.basismap(e,f,b,c),c=w.mult(d,g.adjoint3(c)),
+g.normalizeMax(c)):k};D.extractPointVec=function(a){var h={ok:!1};if("geo"===a.ctype){var c=a.value;if("P"===c.kind)return h.x=ya.getField(c,"x"),h.y=ya.getField(c,"y"),h.z=l.real(1),h.ok=!0,h}if("list"!==a.ctype)return h;var b=a.value;if(2===b.length&&(a=b[0],c=b[1],"number"===a.ctype&&"number"===c.ctype))return h.x=a,h.y=c,h.z=l.real(1),h.ok=!0,h;3===b.length&&(a=b[0],c=b[1],b=b[2],"number"===a.ctype&&"number"===c.ctype&&"number"===b.ctype&&(h.x=l.div(a,b),h.y=l.div(c,b),h.z=l.real(1),h.ok=!0));
+return h};t.polygon$1=function(a,h){var c=A(a[0]);if("list"===c.ctype){for(var b=[],d=0;d<c.value.length;d++){var e=D.extractPoint(c.value[d]);if(!e.ok)return k;b[d]={X:e.x,Y:e.y}}return{ctype:"shape",type:"polygon",value:[b]}}return k};t.circle$2=function(a,h){var c=B(a[0]),b=B(a[1]),c=D.extractPointVec(c);if(!c.ok||"number"!==b.ctype)return k;c=g.turnIntoCSList([c.x,c.y,c.z]);return{ctype:"shape",type:"circle",value:g.turnIntoCSList([c,b])}};t.screen$0=function(a,h){var c=z.drawingstate.initialmatrix,
+b=function(a,b){var h=a-c.tx,d=b+c.ty;return{X:(h*c.d-d*c.b)/c.det,Y:-(-h*c.c+d*c.a)/c.det}};return{ctype:"shape",type:"polygon",value:[[b(0,0),b(da,0),b(da,ca),b(0,ca)]]}};t.halfplane$2=function(a,b){var c=B(a[0]),d=B(a[1]),e=M(c),f=M(d);if(c!==k&&d!==k){var m=d.usage,d=e,n=f;if("Line"===c.usage||"Point"===m)d=f,n=e;c=g.turnIntoCSList([n.value[0],n.value[1],l.zero]);c=g.cross(c,d);c=g.cross(n,c);c=w.div(c,c.value[2]);d=w.div(d,d.value[2]);d=g.sub(d,c);n=g.abs(d);d=w.div(d,n);n=c.value[0].value.real;
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+m.PointOnArc.isMovable=!0;m.PointOnArc.initialize=function(a){var b=m._helper.initializePoint(a);a=m.PointOnArc.getParamForInput(a,b);T(a)};m.PointOnArc.getParamForInput=function(a,b){var c=u.csnames[a.args[0]],d=m._helper.projectPointToCircle(c,b),c=g.normalizeMax(g.crossratio3harm(c.startPoint,c.endPoint,c.viaPoint,d,g.ii)),d=l.div(c.value[0],c.value[1]);0>d.value.real&&(c=-1>d.value.real?g.realVector([1,0]):g.realVector([0,1]));return c};m.PointOnArc.getParamFromState=function(a){return Z(2)};
+m.PointOnArc.putParamToState=function(a,b){T(b)};m.PointOnArc.updatePosition=function(a){var b=u.csnames[a.args[0]],c=b.startPoint,d=b.viaPoint,e=b.endPoint,f=g.ii,k=g.cross(c,f),d=g.cross(d,f),n=g.cross(e,f),n=g.turnIntoCSList([k,n]),k=g.transpose(n),n=g.conjugate(n),k=g.productMM(n,k),d=g.productMV(n,d),k=g.productMV(g.adjoint2(k),d),d=k.value[0],k=k.value[1],n=Z(2);T(n);c=g.normalizeMax(g.add(g.scalmult(l.mult(d,n.value[0]),c),g.scalmult(l.mult(k,n.value[1]),e)));b=m._helper.conicOtherIntersection(b.matrix,
+f,c);a.homog=w.withUsage(b,"Point")};m.PointOnArc.stateSize=4;m._helper.CenterOfCircle=function(a){return g.turnIntoCSList([a.value[2].value[0],a.value[2].value[1],l.neg(a.value[0].value[0])])};m._helper.CenterOfConic=function(a){a=g.adjoint3(a);return{ctype:"list",value:[a.value[2].value[0],a.value[2].value[1],a.value[2].value[2]]}};m.CenterOfConic={};m.CenterOfConic.kind="P";m.CenterOfConic.signature=["C"];m.CenterOfConic.updatePosition=function(a){var b=m._helper.CenterOfConic(u.csnames[a.args[0]].matrix);
+a.homog=b;a.homog=g.normalizeMax(a.homog);a.homog=w.withUsage(a.homog,"Point")};m._helper.CircleMP=function(a,b){var c=a.value[0],d=a.value[1],e=l.neg(a.value[2]),f=l.zero,c=g.turnIntoCSList([g.turnIntoCSList([e,f,c]),g.turnIntoCSList([f,e,d]),g.turnIntoCSList([c,d,f])]),e=w.mult(w.mult(b,c),b),d=w.mult(w.mult(b,g.fund),b),e=w.mult(e,g.fund),c=w.mult(d,c);return g.sub(e,c)};m.CircleMP={};m.CircleMP.kind="C";m.CircleMP.signature=["P","P"];m.CircleMP.updatePosition=function(a){a.matrix=m._helper.CircleMP(u.csnames[a.args[0]].homog,
+u.csnames[a.args[1]].homog);a.matrix=g.normalizeMax(a.matrix);a.matrix=w.withUsage(a.matrix,"Circle")};m.CircleMr={};m.CircleMr.kind="C";m.CircleMr.signature=["P"];m.CircleMr.isMovable=!0;m.CircleMr.initialize=function(a){Va(l.real(a.radius))};m.CircleMr.getParamForInput=function(a,b,c){if("radius"===c)return b;a=u.csnames[a.args[0]].homog;a=g.normalizeZ(a);b=g.normalizeZ(b);b=g.sub(a,b);return b=g.abs(b)};m.CircleMr.getParamFromState=function(a){return wb()};m.CircleMr.putParamToState=function(a,
+b){Va(b)};m.CircleMr.updatePosition=function(a){var b=wb();Va(b);var c=u.csnames[a.args[0]].homog,d=l.mult(c.value[2],b),d=l.mult(d,d);if(!l._helper.isFinite(d)&&!l._helper.isNaN(d))return g.fund;c=m._helper.ScaledCircleMrr(c,d);a.matrix=w.withUsage(c,"Circle");a.radius=b};m.CircleMr.stateSize=2;m.CircleMr.set_radius=function(a,b){"number"===b.ctype&&Ia(a,b,"radius")};m._helper.ScaledCircleMrr=function(a,b){var c=a.value[0],d=a.value[1],e=l.neg(a.value[2]),e=g.scalmult(e,g.turnIntoCSList([c,d,e])).value,
+c=g.turnIntoCSList([c,d]),c=l.sub(g.scalproduct(c,c),b),e=m._helper.buildConicMatrix([e[2],l.zero,e[2],e[0],e[1],c]);return g.normalizeMax(e)};m.Compass={};m.Compass.kind="C";m.Compass.signature=["P","P","P"];m.Compass.updatePosition=function(a){var b=u.csnames[a.args[0]].homog,c=u.csnames[a.args[1]].homog,d=u.csnames[a.args[2]].homog,e=b.value[2],f=c.value[2],k=d.value[2],b=g.scalmult(l.mult(f,k),b),c=g.scalmult(l.mult(e,k),c),d=g.scalmult(l.mult(e,f),d),b=g.sub(c,b),d=m._helper.ScaledCircleMrr(d,
+g.scalproduct(b,b));a.matrix=w.withUsage(d,"Circle")};m._helper.getConicType=function(a){if(1E-16>l.abs(g.det(a)).value.real)return"degenerate";var b=l.mult(a.value[0].value[0],a.value[1].value[1]),b=l.sub(b,l.pow(a.value[0].value[1],l.real(2))),b=b.value.real;return 1E-16>Math.abs(b)?"parabola":1E-16<b?"ellipsoid":"hyperbola"};m._helper.ConicBy5=function(a,b,c,d,e,f){a=g.turnIntoCSList([g.cross(c,d)]);var k=g.turnIntoCSList([g.cross(b,e)]);b=g.turnIntoCSList([g.cross(b,c)]);d=g.turnIntoCSList([g.cross(d,
+e)]);return m._helper.conicFromTwoDegenerates(a,k,b,d,f)};m._helper.conicFromTwoDegenerates=function(a,b,c,d,e){a=w.mult(g.transpose(b),a);c=w.mult(g.transpose(d),c);a=g.add(a,g.transpose(a));c=g.add(c,g.transpose(c));d=w.mult(w.mult(e,a),e);e=w.mult(w.mult(e,c),e);c=w.mult(d,c);e=w.mult(e,a);return g.sub(c,e)};m.ConicBy5={};m.ConicBy5.kind="C";m.ConicBy5.signature=["P","P","P","P","P"];m.ConicBy5.updatePosition=function(a){var b=m._helper.ConicBy5(a,u.csnames[a.args[0]].homog,u.csnames[a.args[1]].homog,
+u.csnames[a.args[2]].homog,u.csnames[a.args[3]].homog,u.csnames[a.args[4]].homog);a.matrix=b;a.matrix=g.normalizeMax(a.matrix);a.matrix=w.withUsage(a.matrix,"Conic")};m.FreeConic={};m.FreeConic.kind="C";m.FreeConic.signature=[];m.FreeConic.initialize=function(a){var b;b=a.pos?m._helper.inputConic(a.pos):g.zeromatrix(l.real(3),l.real(3));m.FreeConic.putParamToState(a,b)};m.FreeConic.getParamForInput=function(a,b,c){return g.normalizeMax(b)};m.FreeConic.getParamFromState=function(a){return m._helper.buildConicMatrix(Z(6).value)};
+m.FreeConic.putParamToState=function(a,b){for(var c=0;3>c;++c)for(var d=0;d<=c;++d)Va(b.value[c].value[d])};m.FreeConic.updatePosition=function(a){var b=Z(6);T(b);a.matrix=m._helper.buildConicMatrix(b.value);a.matrix=g.normalizeMax(a.matrix);a.matrix=w.withUsage(a.matrix,"Conic")};m.FreeConic.set_matrix=function(a,b){g._helper.isNumberMatrixMN(b,3,3)&&Ia(a,g.add(b,g.transpose(b)),"matrix")};m.FreeConic.stateSize=12;m._helper.buildConicMatrix=function(a){var b=a[1],c=a[2],d=a[3],e=a[4],f=a[5];return g.turnIntoCSList([g.turnIntoCSList([a[0],
+b,d]),g.turnIntoCSList([b,c,e]),g.turnIntoCSList([d,e,f])])};m._helper.splitDegenConic=function(a){var b=g.adjoint3(a),c=0,d,e,f=l.abs2(b.value[0].value[0]).value.real;for(d=1;3>d;d++)e=l.abs2(b.value[d].value[d]).value.real,e>f&&(c=d,f=e);d=l.sqrt(l.mult(l.real(-1),b.value[c].value[c]));if(1E-16>l.abs2(d).value.real)return a=g.turnIntoCSList([l.zero,l.zero,l.zero]),[a,a];c=l.real(c+1);e=g.column(b,c);e=g.scaldiv(d,e);d=e.value[0];f=e.value[1];e=e.value[2];d=g.turnIntoCSList([g.turnIntoCSList([l.real(0),
+e,l.mult(l.real(-1),f)]),g.turnIntoCSList([l.mult(l.real(-1),e),l.real(0),d]),g.turnIntoCSList([f,l.mult(l.real(-1),d),l.real(0)])]);a=g.add(a,d);var k=0;for(d=f=b=0;3>d;d++)for(c=0;3>c;c++)e=l.abs2(a.value[d].value[c]).value.real,e>f&&(k=d,b=c,f=e);d=a.value[k];a=g.transpose(a);a=a.value[b];d=g.normalizeMax(d);a=g.normalizeMax(a);d=w.withUsage(d,"Line");a=w.withUsage(a,"Line");return[d,a]};m._helper.inputConic=function(a){var b="xx xy yy xz yz zz".split(" ").map(function(b){var d=l._helper.input(a[b]);
+b[0]!==b[1]&&(d=l.realmult(.5,d));return d});return m._helper.buildConicMatrix(b)};m.SelectConic={};m.SelectConic.kind="C";m.SelectConic.signature=["Cs"];m.SelectConic.initialize=function(a){if(void 0!==a.index)return a.index-1;var b=m._helper.inputConic(a.pos);a=u.csnames[a.args[0]].results;for(var c=g.conicDist(b,a[0]),d=0,e=1;e<a.length;++e){var f=g.conicDist(b,a[e]);f<c&&(c=f,d=e)}return d};m.SelectConic.updatePosition=function(a){a.matrix=u.csnames[a.args[0]].results[a.param];a.matrix=g.normalizeMax(a.matrix);
+a.matrix=w.withUsage(a.matrix,"Conic")};m._helper.ConicBy4p1l=function(a,b,c,d,e,f){var k=g.scalproduct(b,f),n=g.scalproduct(c,f),p=g.scalproduct(d,f),q=g.scalproduct(e,f),t=g.det3(c,d,e),u=g.det3(b,c,e),v=g.det3(b,d,e),w=g.det3(b,c,d),x=l.mult,n=l.sqrt(x(x(n,q),x(t,u))),k=l.sqrt(x(x(k,p),x(v,w))),p=g.cross(g.cross(b,d),f);f=g.cross(g.cross(c,e),f);p=g.scalmult(n,p);k=g.scalmult(k,f);f=g.normalizeMax(g.add(p,k));k=g.normalizeMax(g.sub(p,k));k=Na(f,k);f=m._helper.ConicBy5(a,b,c,d,e,k.value[0]);a=m._helper.ConicBy5(a,
+b,c,d,e,k.value[1]);return[g.normalizeMax(f),g.normalizeMax(a)]};m.ConicBy4p1l={};m.ConicBy4p1l.kind="Cs";m.ConicBy4p1l.signature=["P","P","P","P","L"];m.ConicBy4p1l.updatePosition=function(a){var b=m._helper.ConicBy4p1l(a,u.csnames[a.args[0]].homog,u.csnames[a.args[1]].homog,u.csnames[a.args[2]].homog,u.csnames[a.args[3]].homog,u.csnames[a.args[4]].homog);a.results=b};m.ConicBy4p1l.stateSize=Na.stateSize;m._helper.ConicBy3p2l=function(a,b,c,d,e){function f(a,b,c,d){return l.sub(l.mult(a,d),l.mult(b,
+c))}var k=g.cross(a,b),m=g.cross(d,e);d=g.cross(d,k);e=g.cross(e,k);k=g.turnIntoCSList([d,e,m]);c=g.productVM(c,g.adjoint3(k));m=g.adjoint3(g.turnIntoCSList([g.scalmult(c.value[0],d),g.scalmult(c.value[1],e),g.scalmult(c.value[2],m)]));c=g.transpose(m);d=l.mult;e=g.productMV(c,a);a=e.value[0];e=e.value[1];k=g.productMV(c,b);b=k.value[0];var k=k.value[1],n=l.sqrt(d(a,e)),p=l.sqrt(d(b,k)),q,t=Array(4);for(q=0;4>q;++q){var u=(q&2)-1,v=d(l.real(((q&1)<<1)-1),n),w=d(l.real(u),p),x=f(e,v,k,w),y=f(b,w,a,
+v),u=f(a,e,b,k),z=l.add(l.add(f(b,k,a,e),f(k,w,e,v)),f(w,b,v,a)),v=d(x,x),w=d(y,y),A=d(z,z),B=d(x,y),x=d(x,z),y=d(y,z),B=l.sub(B,d(l.real(.5),d(u,u))),u=g.turnIntoCSList([g.turnIntoCSList([v,B,x]),g.turnIntoCSList([B,w,y]),g.turnIntoCSList([x,y,A])]),u=g.productMM(m,g.productMM(u,c)),u=g.turnIntoCSList([u.value[0].value[0],u.value[0].value[1],u.value[0].value[2],u.value[1].value[1],u.value[1].value[2],u.value[2].value[2]]);t[q]=u}return t};m.ConicBy3p2l={};m.ConicBy3p2l.kind="Cs";m.ConicBy3p2l.signature=
+["P","P","P","L","L"];m.ConicBy3p2l.updatePosition=function(a){for(var b=m._helper.ConicBy3p2l(u.csnames[a.args[0]].homog,u.csnames[a.args[1]].homog,u.csnames[a.args[2]].homog,u.csnames[a.args[3]].homog,u.csnames[a.args[4]].homog),b=Bd(b),c=Array(4),d=0;4>d;++d){var e=b[d].value;c[d]=g.turnIntoCSList([g.turnIntoCSList([e[0],e[1],e[2]]),g.turnIntoCSList([e[1],e[3],e[4]]),g.turnIntoCSList([e[2],e[4],e[5]])])}a.results=c};m.ConicBy3p2l.stateSize=48;m.ConicBy2p3l={};m.ConicBy2p3l.kind="Cs";m.ConicBy2p3l.signature=
+["P","P","L","L","L"];m.ConicBy2p3l.updatePosition=function(a){for(var b=m._helper.ConicBy3p2l(u.csnames[a.args[2]].homog,u.csnames[a.args[3]].homog,u.csnames[a.args[4]].homog,u.csnames[a.args[0]].homog,u.csnames[a.args[1]].homog),b=Bd(b),c=Array(4),d=0;4>d;++d){var e=b[d].value,e=g.turnIntoCSList([g.turnIntoCSList([e[0],e[1],e[2]]),g.turnIntoCSList([e[1],e[3],e[4]]),g.turnIntoCSList([e[2],e[4],e[5]])]);c[d]=g.normalizeMax(g.adjoint3(e))}a.results=c};m.ConicBy2p3l.stateSize=48;m.ConicBy1p4l={};m.ConicBy1p4l.kind=
+"Cs";m.ConicBy1p4l.signature=["P","L","L","L","L"];m.ConicBy1p4l.updatePosition=function(a){var b=m._helper.ConicBy4p1l(a,u.csnames[a.args[1]].homog,u.csnames[a.args[2]].homog,u.csnames[a.args[3]].homog,u.csnames[a.args[4]].homog,u.csnames[a.args[0]].homog),c=b[0],b=b[1],c=g.adjoint3(c),b=g.adjoint3(b),b=[c,b];a.results=b};m.ConicBy1p4l.stateSize=Na.stateSize;m.ConicParabolaPL={};m.ConicParabolaPL.kind="C";m.ConicParabolaPL.signature=["P","L"];m.ConicParabolaPL.updatePosition=function(a){var b=u.csnames[a.args[0]].homog.value,
+c=u.csnames[a.args[1]].homog.value,d=l.mult,e=l.neg,f=l.add,k=l.sub,n=b[0],p=b[1],q=b[2],t=c[0],b=c[1],c=c[2],v=d(q,q),x=d(t,t),y=d(b,b),z=d(q,c),A=e(q),q=f(x,y),y=d(v,y),x=d(v,x),e=d(e(v),d(t,b)),t=d(A,f(d(n,q),d(z,t))),b=d(A,f(d(p,q),d(z,b))),d=k(d(f(d(n,n),d(p,p)),q),d(v,d(c,c))),d=m._helper.buildConicMatrix([y,e,x,t,b,d]),d=g.normalizeMax(d);a.matrix=w.withUsage(d,"Conic")};m.ConicBy2Foci1P={};m.ConicBy2Foci1P.kind="Cs";m.ConicBy2Foci1P.signature=["P","P","P"];m.ConicBy2Foci1P.updatePosition=
+function(a){var b=u.csnames[a.args[0]].homog,c=u.csnames[a.args[1]].homog,d=u.csnames[a.args[2]].homog,e=g.ii,f=g.jj,k=g.normalizeMax(g.cross(b,d)),n=g.normalizeMax(g.cross(c,d)),p=g.normalizeMax(g.cross(d,e)),d=g.normalizeMax(g.cross(d,f)),n=m._helper.coHarmonic(p,d,k,n),k=g.normalizeMax(n[0]),n=g.normalizeMax(n[1]),e=g.turnIntoCSList([e]),p=g.turnIntoCSList([f]),d=g.turnIntoCSList([b]),q=g.turnIntoCSList([c]),f=m._helper.conicFromTwoDegenerates(e,p,d,q,k),f=g.normalizeMax(f),e=m._helper.conicFromTwoDegenerates(e,
+p,d,q,n),e=g.normalizeMax(e),f=g.normalizeMax(g.adjoint3(f)),e=g.normalizeMax(g.adjoint3(e));"ellipsoid"!==m._helper.getConicType(f)&&(k=f,f=e,e=k);g.almostequals(b,c).value&&(b=l.real(3),e=g.zeromatrix(b,b));a.results=[f,e]};m.ConicBy2Pol1P={};m.ConicBy2Pol1P.kind="C";m.ConicBy2Pol1P.signature=["P","L","P","L","P"];m.ConicBy2Pol1P.updatePosition=function(a){var b=u.csnames[a.args[0]].homog,c=u.csnames[a.args[1]].homog,d=u.csnames[a.args[2]].homog,e=u.csnames[a.args[3]].homog,f=u.csnames[a.args[4]].homog,
+k=g.scalproduct,m=g.scalmult,n=g.sub,p=g.productMM,q=l.realmult,t=g.transpose,v=g.turnIntoCSList,x=n(m(k(c,b),f),m(q(2,k(c,f)),b)),y=n(m(k(e,d),f),m(q(2,k(e,f)),d)),z=v([g.cross(b,f)]),f=v([g.cross(d,f)]),y=p(t(z),v([g.cross(b,y)])),v=p(t(f),v([g.cross(d,x)])),p=p(t(z),f),b=k(b,e),c=k(d,c),d=g.add(m(c,y),m(b,v)),d=n(d,m(q(2,l.mult(b,c)),p)),d=g.add(d,t(d)),d=g.normalizeMax(d),d=w.withUsage(d,"Conic");a.matrix=d};m.ConicBy2Pol1L={};m.ConicBy2Pol1L.kind="C";m.ConicBy2Pol1L.signature=["P","L","P","L",
+"L"];m.ConicBy2Pol1L.updatePosition=function(a){var b=u.csnames[a.args[0]].homog,c=u.csnames[a.args[1]].homog,d=u.csnames[a.args[2]].homog,e=u.csnames[a.args[3]].homog,f=u.csnames[a.args[4]].homog,k=g.scalproduct,m=g.scalmult,n=g.productMM,p=l.mult,q=g.transpose,t=g.turnIntoCSList,v=k(c,b),x=k(c,d),y=k(e,b),z=k(e,d),A=k(f,b),k=k(f,d),B=t([g.sub(m(p(y,k),c),m(p(x,A),e))]),b=g.add(n(q(t([m(p(y,x),f)])),t([g.sub(g.add(m(l.sub(p(v,k),p(x,A)),e),m(l.sub(p(z,A),p(y,k)),c)),m(g.det3(c,e,f),g.cross(b,d)))])),
+n(q(B),B)),b=g.add(b,q(b)),b=g.normalizeMax(b),b=w.withUsage(b,"Conic");a.matrix=b};m._helper.conic1Pol3Inc=function(a,b,c,d,e){var f=g.scalproduct,k=g.scalmult,m=g.productMM,n=g.cross,p=l.realmult,q=l.mult,t=g.transpose,u=g.turnIntoCSList,v=g.det3,w=v(a,c,d),x=u([n(c,e)]),y=u([n(a,e)]),z=u([n(c,d)]),A=f(b,a),B=f(b,c);b=f(b,e);n=u([n(d,g.sub(k(A,e),k(p(2,b),a)))]);x=k(w,m(t(x),n));a=p(2,l.add(q(v(a,d,e),B),q(w,b)));a=l.sub(q(v(c,d,e),A),a);x=g.add(x,k(a,m(t(y),z)));x=g.add(x,t(x));return x=g.normalizeMax(x)};
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+a.el.sx=a.x;a.el.sy=a.y;a.internalmove=!1},proceedMotion:function(a,b,c,d){if(!a.fixed)for(a.x=a.mx,a.y=a.my,a.z=a.mz,a.vx=a.mvx,a.vy=a.mvy,a.vz=a.mvz,b=0;b<c;b++)a.x+=d[b]*a.dx[b]*a.deltat,a.y+=d[b]*a.dy[b]*a.deltat,a.z+=d[b]*a.dz[b]*a.deltat,a.vx+=d[b]*a.dvx[b]*a.deltat,a.vy+=d[b]*a.dvy[b]*a.deltat,a.vz+=d[b]*a.dvz[b]*a.deltat},calculateForces:function(a){var b=Math.sqrt(a.vx*a.vx+a.vy*a.vy+a.vz*a.vz);a.lnfrict=-Math.log((1-a.friction)*(1-a.env.friction)*(.1<b&&a.limitSpeed?.1/b:1));a.fx+=-a.vx*
+a.lnfrict*a.mass;a.fy+=-a.vy*a.lnfrict*a.mass;a.fz+=-a.vz*a.lnfrict*a.mass},calculateDelta:function(a,b){a.dx[b]=a.vx;a.dy[b]=a.vy;a.dz[b]=a.vz;a.dvx[b]=a.fx/a.mass;a.dvy[b]=a.fy/a.mass;a.dvz[b]=a.fz/a.mass},savePos:function(a,b){a.dx[b]=a.x;a.dy[b]=a.y;a.dz[b]=a.z;a.dvx[b]=a.vx;a.dvy[b]=a.vy;a.dvz[b]=a.vz},restorePos:function(a,b){a.fixed||(a.x=a.dx[b],a.y=a.dy[b],a.z=a.dz[b],a.vx=a.dvx[b],a.vy=a.dvy[b],a.vz=a.dvz[b])},sqDist:function(a,b,c){var d=(a.dx[b]-a.dx[c])*(a.dx[b]-a.dx[c]),d=d+(a.dy[b]-
+a.dy[c])*(a.dy[b]-a.dy[c]),d=d+(a.dz[b]-a.dz[c])*(a.dz[b]-a.dz[c]),d=d+(a.dvx[b]-a.dvx[c])*(a.dvx[b]-a.dvx[c]),d=d+(a.dvy[b]-a.dvy[c])*(a.dvy[b]-a.dvy[c]);return d+=(a.dvz[b]-a.dvz[c])*(a.dvz[b]-a.dvz[c])},kineticEnergy:function(a){return.5*a.mass*(a.vx*a.vx+a.vy*a.vy+a.vz*a.vz)},storePosition:function(a){a.mx=a.x;a.my=a.y;a.mz=a.z;a.mvx=a.vx;a.mvy=a.vy;a.mvz=a.vz},recallPosition:function(a){a.fixed||(a.x=a.mx,a.y=a.my,a.z=a.mz,a.vx=a.mvx,a.vy=a.mvy,a.vz=a.mvz)},doCollisions:function(a){}},Sun:{reset:function(a,
+b){a.vel=[0,0,0];a.pos=[0,0,0,0];a.el=b;"undefined"===typeof a.mass&&(a.mass=10);"undefined"===typeof a.friction&&(a.friction=0);a.charge=0;a.x=0;a.y=0;a.z=0},resetForces:function(a){},getBlock:!1,setToTimestep:function(a,b,c){},initRK:function(a,b){var c=D.extractPoint(a.el.homog);a.x=c.x;a.y=c.y;a.z=0},setVelocity:function(a,b,c,d){},move:function(a){},proceedMotion:function(a,b,c,d){},calculateDelta:function(a,b){},calculateForces:function(a){for(var b=a.x,c=a.y,d=a.z,e=0;e<ga.length;e++){var f=
+ga[e],g=f.behavior.x,k=f.behavior.y,l=f.behavior.z,m=Math.sqrt((b-g)*(b-g)+(c-k)*(c-k)+(d-l)*(d-l)),k=(c-k)*a.mass*f.behavior.mass/(m*m*m),l=(d-l)*a.mass*f.behavior.mass/(m*m*m);f.behavior.fx+=(b-g)*a.mass*f.behavior.mass/(m*m*m)*f.behavior.mass;f.behavior.fy+=k*f.behavior.mass;f.behavior.fz+=l*f.behavior.mass}},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){}},
+Velocity:{reset:function(a){var b=u.csnames[a.geo[1]];console.log(b);var c=D.extractPoint(b.homog);a=D.extractPoint(u.csnames[a.geo[2]].homog);b=b.behavior;O[b.type].setVelocity(b,a.x-c.x,a.y-c.y,0)},resetForces:function(a){},getBlock:!1,setToTimestep:function(a,b,c){},initRK:function(a,b){},setVelocity:function(a,b,c,d){},move:function(a){var b=u.csnames[a.geo[2]];if(!fa||!X.down||b!==fa.mover){var c=u.csnames[a.geo[1]];a=D.extractPoint(c.homog);c=c.behavior;a=g.realVector([a.x+c.vx,a.y+c.vy,1]);
+Ia(b,a,"homog")}},proceedMotion:function(a,b,c,d){},calculateForces:function(a){},calculateDelta:function(a,b){},savePos:function(a,b){},restorePos:function(a,b){},sqDist:function(a,b,c){return 0},kineticEnergy:function(a){},storePosition:function(a){},recallPosition:function(a){},doCollisions:function(a){}},Gravity:{reset:function(a,b){a.vel=[0,0,0];a.pos=[0,0,0,0];a.el=b;"undefined"===typeof a.strength&&(a.strength=1);a.namea=b.args[0];a.nameb=b.args[1];a.ma=u.csnames[a.namea];a.mb=u.csnames[a.nameb]},
+resetForces:function(a){},getBlock:!1,setToTimestep:function(a,b,c){},initRK:function(a,b){},setVelocity:function(a,b,c,d){},move:function(a){},proceedMotion:function(a,b,c,d){},calculateDelta:function(a,b){},calculateForces:function(a){var b=D.extractPoint(a.ma.homog),c=D.extractPoint(a.mb.homog),d=(c.x-b.x)*a.strength;a=(c.y-b.y)*a.strength;for(b=0;b<ga.length;b++)c=ga[b],c.behavior.fx+=d*c.behavior.mass,c.behavior.fy+=a*c.behavior.mass,c.behavior.fz+=0*c.behavior.mass},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){}},Spring:{reset:function(a,b){a.el=b;"undefined"===typeof a.strength&&(a.strength=1);"undefined"===typeof a.amplitude&&(a.amplitude=0);"undefined"===typeof a.phase&&(a.phase=0);"undefined"===typeof a.speed&&(a.speed=1);"undefined"===typeof a.l0&&(a.l0=0);"undefined"===typeof a.stype&&(a.stype=1);"undefined"===typeof a.readOnInit&&
+(a.readOnInit=!1);a.namea=b.args[0];a.nameb=b.args[1];a.ma=u.csnames[a.namea];a.mb=u.csnames[a.nameb];var c=D.extractPoint(a.ma.homog),d=D.extractPoint(a.mb.homog);a.l0=Math.sqrt((c.x-d.x)*(c.x-d.x)+(c.y-d.y)*(c.y-d.y));a.env=O.env},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;!a.ma.behavior||fa&&X.down&&a.ma===fa.mover?(c=D.extractPoint(a.ma.homog),
+b=c.x,d=c.y):(b=a.ma.behavior.x,d=a.ma.behavior.y);!a.mb.behavior||fa&&X.down&&a.mb===fa.mover?(e=D.extractPoint(a.mb.homog),c=e.x,e=e.y):(c=a.mb.behavior.x,e=a.mb.behavior.y);var f=Math.sqrt((b-c)*(b-c)+(d-e)*(d-e)),g=a.l0,k=a.stype;1===k&&(g=0);var l=0;if(2===k||3===k)l=a.ma.behavior.mass*a.mb.behavior.mass*a.strength;2===k&&(l=-l);var m,n;if(0===f||0!==k&&1!==k)if(a.ma.behavior&&a.mb.behavior&&0!==f){if(f*=f*f,2===k||3===k)m=(b-c)*l/f,n=(d-e)*l/f}else m=n=0;else m=-(b-c)*a.strength*(f-g)/f*a.env.springstrength,
+n=-(d-e)*a.strength*(f-g)/f*a.env.springstrength;a.ma.behavior&&(a.ma.behavior.fx+=m,a.ma.behavior.fy+=n);a.mb.behavior&&(a.mb.behavior.fx-=m,a.mb.behavior.fy-=n)},calculateDelta:function(a,b){},savePos:function(a,b){},restorePos:function(a,b){},sqDist:function(a,b,c){return 0},kineticEnergy:function(a){},storePosition:function(a){},recallPosition:function(a){},doCollisions:function(a){}},det:function(a,b,c,d,e,f){return c*f-e*d+e*b-a*f+a*d-c*b},Bouncer:{reset:function(a,b){a.el=b;"undefined"===typeof a.xdamp&&
+(a.xdamp=0);"undefined"===typeof a.ydamp&&(a.ydamp=0);"undefined"===typeof a.motorchanger&&(a.motorchanger=!0);a.namea=b.args[0];a.nameb=b.args[1];a.ma=u.csnames[a.namea];a.mb=u.csnames[a.nameb];var c=D.extractPoint(a.ma.homog),d=D.extractPoint(a.mb.homog);a.x1o=1.01*c.x-.01*d.x;a.y1o=1.01*c.y-.01*d.y;a.x2o=1.01*d.x-.01*c.x;a.y2o=1.01*d.y-.01*c.y;a.env=O.env},resetForces:function(a){},getBlock:!1,setToTimestep:function(a,b,c){},initRK:function(a,b){a.deltat=b},setVelocity:function(a,b,c,d){},move:function(a){},
+proceedMotion:function(a,b,c,d){},calculateForces:function(a){},calculateDelta:function(a,b){},savePos:function(a,b){},restorePos:function(a,b){},sqDist:function(a,b,c){return 0},kineticEnergy:function(a){},storePosition:function(a){},recallPosition:function(a){},doCollisions:function(a){for(var b=D.extractPoint(a.ma.homog),c=D.extractPoint(a.mb.homog),d=b.x,b=b.y,e=c.x,c=c.y,f=a.x1o,g=a.y1o,k=a.x2o,m=a.y2o,n=Math.sqrt((d-e)*(d-e)+(b-c)*(b-c)),p=(d-e)/n,n=(b-c)/n,q=0;q<ga.length;q++){var t=ga[q],
+u=t.behavior.xo,v=t.behavior.yo,w=t.behavior.x,x=t.behavior.y,y=l.mult(l.complex(f,g),l.complex(e,c)),z=l.mult(l.complex(k,m),l.complex(d,b)),y=l.sub(y,z),z=l.mult(l.complex(u,v),l.complex(d,b)),y=l.add(y,z),z=l.mult(l.complex(u,v),l.complex(e,c)),y=l.sub(y,z),z=l.sub(l.complex(f,g),l.complex(k,m)),y=l.div(y,z);0>O.det(d,b,e,c,w,x)*O.det(d,b,e,c,y.value.real,y.value.imag)&&0>O.det(d,b,w,x,y.value.real,y.value.imag)*O.det(e,c,w,x,y.value.real,y.value.imag)&&(v=t.behavior.mvx+a.deltat*(-y.value.real+
+t.behavior.xo),w=t.behavior.mvy+a.deltat*(-y.value.imag+t.behavior.yo),u=p*v+n*w,v=n*v-p*w,t.behavior.x=y.value.real,t.behavior.y=y.value.imag,t.behavior.vx=p*u*(1-a.xdamp),t.behavior.vy=n*u*(1-a.xdamp),t.behavior.vx+=-n*v*(1-a.ydamp),t.behavior.vy+=p*v*(1-a.ydamp))}a.x1o=d;a.y1o=b;a.x2o=e;a.y2o=c}},Environment:{init:function(a){"undefined"===typeof a.gravity&&(a.gravity=0);"undefined"===typeof a.friction&&(a.friction=0);"undefined"===typeof a.springstrength&&(a.springstrength=1);"undefined"!==typeof a.accuracy&&
+(Mb=a.accuracy);"undefined"!==typeof a.deltat&&sa(a.deltat/.6);"undefined"===typeof a.charges&&(a.charges=!1);"undefined"===typeof a.balls&&(a.balls=!1);"undefined"===typeof a.newton&&(a.newton=!1);"undefined"===typeof a.ballInteractionBoosting&&(a.ballInteractionBoosting=1);O.env=a;a.errorbound=.001;a.lowestdeltat=1E-7;a.slowdownfactor=2},reset:function(a){},resetForces:function(a){},getBlock:!1,setToTimestep:function(a,b,c){},initRK:function(a,b){},setVelocity:function(a,b,c,d){},move:function(a){},
+proceedMotion:function(a,b,c,d){},calculateForces:function(a){var b,c,d,e,f,g,k,l,m,n;if(a.newton)for(b=0;b<ga.length-1;b++)for(c=ga[b],d=c.behavior.x,e=c.behavior.y,f=b+1;f<ga.length;f++)g=ga[f],k=g.behavior.x,l=g.behavior.y,n=Math.sqrt((d-k)*(d-k)+(e-l)*(e-l)),k=(d-k)*c.behavior.mass*g.behavior.mass/(n*n*n),l=(e-l)*c.behavior.mass*g.behavior.mass/(n*n*n),c.behavior.fx-=k,c.behavior.fy-=l,g.behavior.fx+=k,g.behavior.fy+=l;if(a.charges)for(b=0;b<ga.length-1;b++)for(c=ga[b],d=c.behavior.x,e=c.behavior.y,
+f=b+1;f<ga.length;f++)g=ga[f],k=g.behavior.x,l=g.behavior.y,n=Math.sqrt((d-k)*(d-k)+(e-l)*(e-l)),k=(d-k)*c.behavior.charge*g.behavior.charge/(n*n*n),l=(e-l)*c.behavior.charge*g.behavior.charge/(n*n*n),c.behavior.fx+=k,c.behavior.fy+=l,g.behavior.fx-=k,g.behavior.fy-=l;if(a.balls)for(b=0;b<ga.length-1;b++)if(c=ga[b],0!==c.behavior.radius)for(d=c.behavior.x,e=c.behavior.y,f=b+1;f<ga.length;f++)g=ga[f],0!==g.behavior.radius&&(k=g.behavior.x,l=g.behavior.y,m=c.behavior.radius+g.behavior.radius,n=Math.sqrt((d-
+k)*(d-k)+(e-l)*(e-l)),0===a.ballInteractionBoosting?(k=(d-k)/(n*n*n)*(n>m?0:(n-m)*(n-m)),l=(e-l)/(n*n*n)*(n>m?0:(n-m)*(n-m))):1===a.ballInteractionBoosting?(k=(d-k)/(n*n*n*n)*(n>m?0:(n-m)*(n-m)),l=(e-l)/(n*n*n*n)*(n>m?0:(n-m)*(n-m))):(k=(d-k)/(n*n*n*n*n)*(n>m?0:(n-m)*(n-m)),l=(e-l)/(n*n*n*n*n)*(n>m?0:(n-m)*(n-m))),c.behavior.fx+=k,c.behavior.fy+=l,g.behavior.fx-=k,g.behavior.fy-=l);for(b=0;b<ga.length;b++)c=ga[b],c.behavior.fx+=0,c.behavior.fy+=-a.gravity*c.behavior.mass,c.behavior.fz+=0},calculateDelta:function(a,
+b){},savePos:function(a,b){},restorePos:function(a,b){},sqDist:function(a,b,c){return 0},kineticEnergy:function(a){},storePosition:function(a){},recallPosition:function(a){},doCollisions:function(a){}}};return oa};return E}(),createCindy=CindyJS;"undefined"!==typeof process&&"undefined"!==typeof module&&"undefined"!==typeof module.exports&&"undefined"===typeof window&&(module.exports=CindyJS);
+//# sourceMappingURL=Cindy.js.map
diff --git a/Master/texmf-dist/doc/support/ketcindy/ketmanual/CindyJS/CindyJS.css b/Master/texmf-dist/doc/support/ketcindy/ketmanual/CindyJS/CindyJS.css
new file mode 100644
index 00000000000..2fdefb34c40
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/ketmanual/CindyJS/CindyJS.css
@@ -0,0 +1,121 @@
+.CindyJS-toolbar button, .CindyJS-animbuttons button, .CindyJS-button button, .CindyJS-button label {
+  background-color: #bfc4d0;
+  border: 1px solid #d0d0d0;
+  box-shadow: inset 1px 1px 2px #fff, inset -1px -1px 2px #aaa;
+  outline: none; }
+
+.CindyJS-toolbar button:active, .CindyJS-animbuttons button:active, .CindyJS-toolbar button.CindyJS-active, .CindyJS-animbuttons button.CindyJS-active, .CindyJS-button button:active, .CindyJS-button label:active, .CindyJS-button input[type=checkbox]:checked + label {
+  background-color: #aaafbb;
+  box-shadow: inset 1px 1px 2px #999, inset -1px -1px 2px #ccc; }
+
+.CindyJS-toolbar, .CindyJS-animbuttons {
+  line-height: 0px; }
+  .CindyJS-toolbar button, .CindyJS-animbuttons button {
+    display: inline-block;
+    margin: 0px;
+    padding: 0px; }
+  .CindyJS-toolbar button:focus, .CindyJS-animbuttons button:focus {
+    border-color: #06f; }
+  .CindyJS-toolbar img, .CindyJS-animbuttons img {
+    margin: 0px;
+    border: none;
+    display: block; }
+
+.CindyJS-widget {
+  overflow: hidden;
+  z-index: 0; }
+  .CindyJS-widget canvas {
+    z-index: 1; }
+  .CindyJS-widget .CindyJS-baseline {
+    margin: 0px;
+    padding: 0px;
+    border: none;
+    position: absolute;
+    white-space: nowrap;
+    margin-top: -1000px; }
+    .CindyJS-widget .CindyJS-baseline > img {
+      margin: 0px;
+      padding: 0px;
+      border: none;
+      display: inline;
+      position: static;
+      vertical-align: baseline;
+      visibility: hidden;
+      margin-right: -1px; }
+    .CindyJS-widget .CindyJS-baseline .CindyJS-button {
+      display: inline-block; }
+  .CindyJS-widget .CindyJS-button {
+    position: relative;
+    z-index: 2; }
+  .CindyJS-widget .CindyJS-toolbar, .CindyJS-widget .CindyJS-animbuttons {
+    position: absolute; }
+    .CindyJS-widget .CindyJS-toolbar button, .CindyJS-widget .CindyJS-animbuttons button {
+      position: relative;
+      z-index: 3; }
+  .CindyJS-widget .CindyJS-animspeed {
+    position: relative;
+    z-index: 3; }
+  .CindyJS-widget .CindyJS-animcontrols {
+    bottom: 5px;
+    left: 5px; }
+
+.CindyJS-button input[type=checkbox] {
+  position: absolute;
+  left: -10000px; }
+
+.CindyJS-button button, .CindyJS-button label {
+  margin: -6px -7px;
+  padding: 5px 6px;
+  border-radius: 4px; }
+
+.CindyJS-button button:focus, .CindyJS-button input[type=checkbox]:focus + label {
+  box-shadow: 0px 0px 3px #06f, inset 1px 1px 2px #fff, inset -1px -1px 2px #aaa; }
+
+.CindyJS-button button:focus:active, .CindyJS-button input[type=checkbox]:focus:checked + label {
+  background-color: #aaafbb;
+  box-shadow: 0px 0px 3px #06f, inset 1px 1px 2px #999, inset -1px -1px 2px #ccc; }
+
+.CindyJS-editabletext {
+  border: 1px solid #000;
+  margin: -4px -4px -1px;
+  padding: 4px 4px 1px; }
+  .CindyJS-editabletext:focus {
+    box-shadow: 0px 0px 3px #06f; }
+
+.CindyJS-toolbar div {
+  line-height: 0px; }
+
+.CindyJS-toolbar span.CindyJS-spacer {
+  display: inline-block;
+  margin: 0px;
+  padding: 1px;
+  width: 32px;
+  height: 24px; }
+
+.CindyJS-animcontrols {
+  position: absolute;
+  background-color: #00f;
+  height: 36px;
+  width: 102px; }
+  .CindyJS-animcontrols .CindyJS-animspeed {
+    height: 10px;
+    width: 100%;
+    border-radius: 4px;
+    background-color: #ff7f7f;
+    box-shadow: inset 1px 1px 2px #999, inset -1px -1px 2px #ccc; }
+    .CindyJS-animcontrols .CindyJS-animspeed div {
+      width: 50%;
+      height: 100%;
+      border-radius: 4px;
+      background-color: #cc0000;
+      box-shadow: inset 1px 1px 2px #fff, inset -1px -1px 2px #aaa; }
+  .CindyJS-animcontrols .CindyJS-animbuttons {
+    white-space: nowrap; }
+
+.CindyJS-animbuttons button {
+  border-radius: 4px;
+  width: 34px;
+  height: 26px;
+  box-sizing: border-box; }
+
+/*# sourceMappingURL=CindyJS.css.map */
\ No newline at end of file
diff --git a/Master/texmf-dist/doc/support/ketcindy/ketmanual/CindyJS/ketcindylib.txt b/Master/texmf-dist/doc/support/ketcindy/ketmanual/CindyJS/ketcindylib.txt
new file mode 100644
index 00000000000..72469da831a
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/ketmanual/CindyJS/ketcindylib.txt
@@ -0,0 +1,6419 @@
+// 17.08.26  Slider
+// 16.11.27
+Ketinit():=Ketinit(1);
+Ketinit(sy):=Ketinit(sy,[-5,5],[-5,5]);
+Ketinit(sy,rangex,rangey):=(
+  regional(pt,tmp,tmp1,tmp2);
+  PenThickInit=8;
+  ULEN="1cm";
+  KETPICLAYER=20;
+  MilliIn=1/2.54*1000;
+  PenThick=round(MilliIn*0.02);
+  PenThickInit=PenThick;
+  TenSizeInit=0.02;
+  TenSize=TenSizeInit;
+  YaSize=1; YaAngle=18; YaPosition=1;
+  YaThick=1; YaStyle='tf';
+  KETPICCOUNT=1;
+  KCOLOR=[0,0,0];
+  GLIST=[];
+  GCLIST=[];
+//  GDATALIST=[];
+  GOUTLIST=[];
+  POUTLIST=[];
+  VLIST=[];
+  FUNLIST=[];
+  LETTERlist=[];
+  COM0thlist=[];
+  COM1stlist=[];
+  COM2ndlist=[];
+  SCIWRLIST=[];
+  SCIRELIST=[];
+  ADDAXES="1";
+  LFmark=unicode("000a");
+  Dq=unicode("0022");
+  WaitUnit=10;
+  CONTINUED=0;
+  OutComList=[];
+  OutFileLIst=[];   // 15.10.22
+  FigPdfList=[];  // 16.04.08
+  ADDPACK=[]; // 16.05.16
+  ErrFlag=0;
+  setdirectory(Dirwork);
+  if(isstring(Fhead),    // 15.04.06
+    Fnametex=Fhead+".tex";
+    Fnamesci=Fhead+".sce";
+    Fnamescibody=Fhead+"body.sce";
+    Fnameout=Fhead+".txt";
+  );
+  if(!isstring(Mackc),// 16.06.07
+    Mackc="sh"; 
+  );
+  ArrowlineNumber=1;  // 15.01.05
+  ArrowheadNumber=1;
+  BezierNumber=1; //15.01.03
+  SCALEX=1;
+  SCALEY=sy;
+//  Setscaling(sy);
+  XMIN=rangex_1/SCALEX;
+  XMAX=rangex_2/SCALEX;
+  YMIN=rangey_1/SCALEY;
+  YMAX=rangey_2/SCALEY;
+  Setwindow("Msg=n"); // 16.05.31
+);
+
+DqDq(str):=unicode("0022")+str+unicode("0022");
+
+Tab2list(dtstr):=Tab2list(dtstr,[]);
+Tab2list(dtstr,options):=(
+//help:Tab2list(datastr);
+//help:Tab2list(options=[0]);
+  regional(dtall,dt,rep,out,crm,lfm,htm,first,tmp,tmp1,tmp2);
+  crm=unicode("000d");
+  lfm=unicode("000a");
+  htm=unicode("0009");
+  rep=0;
+  if(length(options)>0,rep=options_1);
+  first=lfm; // 16.09.05from
+  if(indexof(dtstr,crm)>0,
+    first=crm;
+    if(indexof(dtstr,crm+lfm)>0,
+      first=first+lfm;
+    ); // 16.09.05upto
+  );
+  tmp1=Indexall(dtstr,first);
+  tmp1=prepend(0,tmp1);
+  tmp1=append(tmp1,length(dtstr));
+  dtall=[];
+  forall(1..(length(tmp1)-1),
+    tmp=substring(dtstr,tmp1_#,tmp1_(#+1)-1);
+    if(length(tmp)>0,
+      dtall=append(dtall,tmp);
+    );
+  );
+  out=[];
+  forall(dtall,dt,
+    tmp1=tokenize(dt,unicode("0009"));
+    tmp2=[];
+    forall(tmp1,
+      if(isstring(#),tmp=parse(#),tmp=#);
+      if(!isreal(tmp),
+        if(length(#)>0,tmp=#,tmp=rep);
+      );
+      tmp2=append(tmp2,tmp);
+    );
+    out=append(out,tmp2);
+  );
+  out;
+);
+
+Columnlist(dt,list):=( // 16.09.04
+//help:Columnlist(dt,1..3);
+  apply(dt,#_list);
+);
+
+Dispmat(dt):=( // 16.09.16
+//help:Dispmat(dt);
+  regional(htm,crm,lfm,row,tmp,tmp1,tmp2);
+  htm=unicode("0009");
+  crm=unicode("000d");
+  lfm=unicode("000a");
+  tmp2="";
+  forall(dt,row,
+    tmp1="";
+    forall(row,
+      if(isstring(#),
+        tmp1=tmp1+#+htm;
+      ,
+        tmp1=tmp1+text(#)+htm;
+      );
+    );
+    tmp1=substring(tmp1,0,length(tmp1)-1);
+    tmp1=tmp1+lfm;
+    tmp2=tmp2+tmp1;
+  );
+  print(tmp2);
+  println();
+);
+
+norm(v1):=(  // 16.09.01
+//help:norm([2,1,3]);
+  regional(out,tmp,tmp1,tmp2);
+  out=0;
+  forall(1..length(v1),
+    out=out+(v1_#)^2;
+  );
+  out=sqrt(out);
+  out;
+);
+norm(v1,v2):=(
+  norm(v2-v1);
+);
+
+// 16.03.28
+Removespace(str):=(
+//help:Removespace(" a b c  ");
+  regional(tmp,flg,out);
+  tmp=length(str)+1;
+  flg=0;
+  forall(1..length(str),
+    if(flg==0,
+      if((str_#)!=" ",
+        tmp=#;
+        flg=1;
+      );
+    );
+  );
+  out=substring(str,tmp-1,length(str));
+  flg=0;
+  tmp=0;
+  forall(reverse(1..length(out)),
+    if(flg==0,
+      if((out_#)!=" ",
+        tmp=#;
+        flg=1;
+      );
+    );
+  );
+  out=substring(out,0,tmp);
+);
+
+Indexall(str,key):=(
+  regional(rest,out,flg,tmp,tmp1,);
+  out=[];
+  rest=str;
+  flg=0;
+  forall(1..length(str),
+    if(flg==0,
+      tmp=indexof(rest,key);
+      if(tmp>0,
+        tmp1=tmp+length(str)-length(rest);
+        out=append(out,tmp1);
+        rest=substring(rest,tmp,length(rest));
+      ,
+        flg=1;
+      );
+    );
+  );
+  out;
+);
+
+Changestyle(nameL,style):=(
+//help:Changestyle(["sgAB"],["da"]);
+  regional(nmL,name,Ltype,Ltypeorg,Noflg,opcindy,tmp);
+  tmp=Divoptions(style);
+  Ltypeorg=tmp_1;
+  Noflg=tmp_2;
+  opcindy=tmp_(length(tmp));
+  if(islist(nameL),nmL=nameL,nmL=[nameL]);
+  forall(nmL,name,
+    Ltype=Ltypeorg;
+    GCLIST=select(GCLIST,#_1!=name);
+    COM2ndlist=select(COM2ndlist,indexof(#,"("+name)==0); // 15.05.23
+    if(Noflg<2,
+      if(isstring(Ltype),
+        Ltype=GetLinestyle(text(Noflg)+Ltype,name);
+      ,
+        if(Noflg==1,Ltype=0);
+      );
+      GCLIST=append(GCLIST,[name,Ltype,opcindy]);
+    );
+  );
+);
+
+Op(n,object):=( //  16.05.25
+//help:Op(4,[1,2,3,4]);
+//help:Op(3,"abcd");
+  regional(out);
+  if(islist(object),
+    out=object_n;
+  ,
+    if(isstring(object),
+      out=substring(object,n-1,n);
+    );
+  );
+  out;
+);
+
+Toupper(str):=(
+  regional(alphabet,out,tmp,tmp1);
+  alphabet="abcdefghijklmnopqrstuvwxyz";
+  out="";
+  forall(1..length(str),
+    tmp=substring(str,#-1,#);
+    tmp1=indexof(alphabet,tmp);
+    if(tmp1>0,
+      out=out+unicode(text(tmp1+64),base->10);
+    ,
+      out=out+tmp;
+    );
+  );
+  out;
+);
+
+Textformat(value,dig):=(
+//help:Textformat(2/3,4);
+//help:Textformat([gr1,gr2],5);
+  regional(vv,tmp,tmp1);
+  if(islist(value),
+    tmp1="[";
+    forall(value,
+      tmp1=tmp1+Textformat(#,dig)+",";
+    );
+    tmp1=substring(tmp1,0,length(tmp1)-1)+"]";
+  ,
+    if(ispoint(value) % isstring(value),
+//      vv=Lcrd(value);
+//      tmp1=Textformat(vv,dig);
+//      tmp1=text(value);  // 15.04.07
+      if(isstring(value),tmp1=Dq+value+Dq,tmp1=text(value)); // 15.10.02
+    ,
+      tmp1=format(value,dig);
+    );
+  );
+  tmp1;
+);
+
+Sprintf(value,dig):=(
+//help:Sprintf(5.1,4);
+  regional(vv,tmp,tmp1);
+  if(!islist(value),
+    vv=Textformat(value,dig);
+    if(indexof(vv,".")==0,vv=vv+".");
+    vv=vv+"0000000000000000";
+    tmp=indexof(vv,".")+dig;
+    vv=substring(vv,0,tmp);
+  ,
+    vv=apply(value,Sprintf(#,dig));
+  );
+  vv;
+);
+
+Assign(funstr,vrL):=(
+  regional(nn,out,tmp,tmp1);
+  nn=length(vrL)/2;
+  out=funstr;
+  forall(1..nn,
+    out=Assign(out,vrL_(2*#-1),vrL_(2*#));
+  );
+  out;
+);
+
+Assign(funstr,varname,rep):=(
+//help:Assign("x^2+a*x","a",1.3);
+//help:Assign("a*x^2+b*x",["a",1,"b",2]);
+  regional(repstr,ii,jj,tmp,tmp1,tmp2,Notvar,Flg);
+  if(isstring(rep),repstr=rep,repstr="("+Textformat(rep,5)+")"); // 15.02.09, 07.06
+  tmp=[46];  // 12.20
+  tmp=concat(tmp,48..57);
+  tmp=concat(tmp,65..90);
+  tmp=concat(tmp,97..122);
+  Notvar=apply(tmp,unicode(text(#),base->10));
+  tmp2="";
+  forall(1..100,
+    ii=indexof(funstr,varname);
+    if(ii>0,
+      Flg=0;
+	  if(ii>1,
+        tmp=substring(funstr,ii-2,ii-1);
+        if(contains(Notvar,tmp),
+          tmp2=tmp2+substring(funstr,0,ii);
+          funstr=substring(funstr,ii,length(funstr));
+          Flg=1;
+        );
+      );
+      if(Flg==0,
+        jj=ii-1+length(varname);
+        if(jj<length(funstr),
+          tmp=substring(funstr,jj,jj+1));
+          if(contains(Notvar,tmp),
+          tmp2=tmp2+substring(funstr,0,jj);
+          funstr=substring(funstr,jj,length(funstr));
+          Flg=1;
+        );
+      );
+      if(Flg==0,
+        tmp2=tmp2+substring(funstr,0,ii-1)+repstr;
+        funstr=substring(funstr,jj,length(funstr));
+      );
+    );
+  );
+  funstr=tmp2+funstr;
+  funstr;
+);
+
+MeasureDepth(list):=(
+  regional(tmp,Depth,Flg);
+  Flg=0;
+  Depth=0;
+  if(ispoint(list),  // 15.01.22
+    Depth=0;
+    Flg=1;
+  ,
+    tmp=list_1;
+  );
+  repeat(4,
+    if(Flg==0,
+      if(islist(tmp),
+        tmp=tmp_1;
+        Depth=Depth+1;
+      ,
+        if(ispoint(tmp),Depth=Depth+1);
+        Flg=1;
+      );
+    );
+  );
+  Depth;
+);
+
+Flattenlist(pltlist):=(
+//help:Flattenlist([[2,3],[[1,2],[5,6]]]);
+  regional(Out,nn,Dt,ii,tmp,flg);
+  Out=[];
+  if(MeasureDepth(pltlist)==1,
+    Out=[pltlist];
+  ,
+    forall(1..length(pltlist),nn,
+      Dt=pltlist_nn;
+      if(MeasureDepth(Dt)<2,
+        Out=append(Out,Dt);
+      ,
+        forall(1..length(Dt),ii,
+          tmp=Flattenlist(Dt_ii);
+          Out=concat(Out,tmp);
+        );
+      );
+    );
+  );
+  Out;
+);
+
+Divoptions(options):=(
+//help:Divoptions(options);
+  regional(Ltype,Noflg,Inflg,Outflg,eqL,realL,strL,opstr,opcindy,flg,tmp,tmp1);
+  Ltype="dr";  // 2015.01.13
+  Noflg=0;
+  Inflg=0;
+  Outflg=0;
+  eqL=[];
+  realL=[];
+  strL=[];
+  opstr="";
+  opcindy="";
+  forall(options,
+    flg=0;
+    if(flg==0,
+      if(isreal(#) % ispoint(#) % islist(#),
+        realL=append(realL,#);
+        opstr=opstr+","+text(#);
+        flg=1;
+      );
+    );
+    if(flg==0,
+      if(indexof(#,"=")>0,
+        eqL=append(eqL,#);
+        flg=1; 
+      );
+    );
+    if(flg==0,
+      if(indexof(#,"no")+indexof(#,"No")>0,
+        if(indexof(#,"tex")>0,Noflg=1);
+        if(indexof(#,"disp")>0,Noflg=2);
+        if(indexof(#,"data")>0,Noflg=3);
+        flg=1;
+      );
+    );
+    if(flg==0,
+      if(indexof(#,"->")>0,
+        opcindy=opcindy+","+#;
+        flg=1; 
+      );
+    );
+    if(flg==0,
+      if(indexof(#,"out")+indexof(#,"Out")>0,
+        if(indexof(#,"-")==0,
+          Outflg=1;
+        ,
+          Outflg=2;
+        );
+        flg=1;
+      );
+    );
+    if(flg==0,
+      if(indexof(#,"in")+indexof(#,"In")>0,
+        if(indexof(#,"-")==0,
+          Inflg=1;
+        ,
+          Inflg=2;
+        );
+        flg=1;
+      );
+    );
+    if(flg==0,
+      tmp=substring(#,0,2);
+      tmp1=indexof(tmp,"dr")+indexof(tmp,"Dr");
+      tmp1=tmp1+indexof(tmp,"da")+indexof(tmp,"Da");
+      tmp1=tmp1+indexof(tmp,"id")+indexof(tmp,"Id");
+      tmp1=tmp1+indexof(tmp,"do")+indexof(tmp,"Do");
+      tmp1=tmp1+indexof(tmp,"dp")+indexof(tmp,"Dp");
+      if(tmp1>0,
+        Ltype=#;
+        flg=1;
+      );
+    if(flg==0,
+        strL=append(strL,#);
+        opstr=opstr+","+Dq+#+Dq;
+      );
+    );
+  );
+  if(indexof(opcindy,"color->")==0,// 16.10.07from
+    opcindy=opcindy+",color->[0,0,0]";
+  );
+  [Ltype,Noflg,Inflg,Outflg,eqL,realL,strL,opstr,opcindy];
+);
+
+Dotprod(vec1,vec2):=(
+//help:Dotprod(vec1,vec2);
+  regional(v1,v2,tmp);
+  if(ispoint(vec1),v1=vec1.xy,v1=vec1);
+  if(ispoint(vec2),v2=vec2.xy,v2=vec2);
+  v1*v2;
+);
+
+Crossprod(a,b):=(
+//help:Crossprod(vec1,vec2);
+  regional(tmp1,tmp2,tmp3,Out);
+  if(length(a)==3,
+    tmp1=a_2*b_3-a_3*b_2;
+    tmp2=a_3*b_1-a_1*b_3;
+    tmp3=a_1*b_2-a_2*b_1;
+    Out=[tmp1,tmp2,tmp3];
+  ,
+    Out=a_1*b_2-a_2*b_1;
+  );
+  Out;
+);
+
+Ptstart(Fig):=(
+//help:Ptstart("gr1");
+  regional(tmp);
+  if(isstring(Fig),tmp=parse(Fig),tmp=Fig);  // 16.01.21
+  tmp_1;
+);
+
+Ptend(Fig):=(
+//help:Ptend("gr1");
+  regional(tmp);
+  if(isstring(Fig),tmp=parse(Fig),tmp=Fig);
+  tmp_(length(tmp)); // 15.04.12
+);
+
+Numptcrv(Fig):=(
+//help:Numptcrv("gr1");
+  regional(tmp);
+  if(isstring(Fig),tmp=parse(Fig),tmp=Fig);  // 15.12.23
+  length(tmp);
+);
+
+Ptcrv(Num,Fig):=(
+//help:Ptcrv(10,"gr1");
+  regional(tmp);
+  if(isstring(Fig),tmp=parse(Fig),tmp=Fig);
+  tmp_Num;
+);
+
+Invert(Fig):=(
+//help:Invert("gr1");
+  regional(tmp);
+  if(isstring(Fig),tmp=parse(Fig),tmp=Fig); // 16.01.27
+  reverse(tmp);
+);
+Invert(nm,Fig):=Invert(nm,Fig,["nodisp"]);  // from 16.01.27
+Invert(nm,Fig,options):=(
+//help:Invert("1","gr1");
+  regional(name,tmp);
+  name="-inv"+nm;
+  tmp=Invert(Fig);
+  Listplot(name,tmp,options);
+);// upto 16.01.27
+
+Paramoncrv(pP,Gdata):=(
+  regional(Tmp,PtL);
+//  Eps=10^(-8);
+  if(isstring(Gdata),PtL=parse(Gdata),PtL=Gdata);
+  Tmp=Nearestpt(pP,PtL);
+  Tmp_2;
+);
+
+ParamonCurve(pP,nN,plist):=(
+//help:ParamonCurve(A,10,"gr1");
+  regional(PtL,Out,Pa,Pb,vV,vW,sS);
+  if(isstring(plist),PtL=parse(plist),PtL=plist);
+  PtL=apply(PtL,LLcrd(#));//16.10.16
+  if(nN==length(PtL),
+    Out=nN;
+  ,
+    Pa=PtL_nN;
+    Pb=PtL_(nN+1);
+    vV=Pb-Pa;
+    vW=pP-Pa;
+    sS=vV*vW/|vV|^2;
+    sS=min([max([sS,0]),1]);
+    Out=nN+sS;
+  );
+  Out;
+);
+
+Pointoncrv(tT,PtL):=PointonCurve(tT,PtL);
+PointonCurve(tT,Gdata):=(
+//help:PointonCurve(20.5,"gr1");
+  regional(Out,Eps,nN,sS,Pa,Pb,PtL);
+  if(isstring(Gdata),PtL=parse(Gdata),PtL=Gdata);
+  if(length(PtL)==1,PtL=PtL_1);
+  Eps=10^(-4);
+  nN=floor(tT+Eps);
+  sS=max([tT-nN,0]);
+  if(nN==length(PtL),
+    Out=PtL_nN;
+  ,
+    Pa=PtL_nN;
+    Pb=PtL_(nN+1);
+    Out=(1-sS)*Pa+sS*Pb;
+  );
+  Out;
+);
+
+Koutenseg(pA,pB,pC,pD):=Koutenseg(pA,pB,pC,pD,[]);
+Koutenseg(pA,pB,pC,pD,options):=(
+  regional(Eps0,Eps,Eps2,pV,Sv2,Out,pP,pQ,Flg,p1,p2,q1,q2,
+          em1,eM1,em2,eM2,rT,Tmp1,Tmp2);
+  Eps0=10^(-4);
+  pV=pB-pA;
+  Sv2=|pV|;
+  pP=pC-pA; pQ=pD-pA;
+  Eps=10^(-3);
+  Eps2=0.2;
+  Tmp1=0;
+  forall(options,
+    if(Tmp1==0,
+      Eps=#;
+      Tmp1=1;
+    ,
+      Eps2=#;
+    );
+  );
+  Flg=0;
+  if(Sv2<10^(-3),
+     Out=["inf","inf"];
+     Flg=1;
+  );
+  if(Flg==0,
+    Eps=min([Eps2,Eps/Sv2]);
+    p1=pP*pV/Sv2^2;
+    p2=[pP_2,-pP_1]*pV/Sv2^2;
+    q1=pQ*pV/Sv2^2;
+    q2=[pQ_2,-pQ_1]*pV/Sv2^2;
+    em1=-Eps; eM1=1+Eps;
+    em2=-Eps; eM2=Eps;
+    if(max([p1,q1])<em1 % min([p1,q1])>eM1,
+      Out=["inf","inf"];
+      Flg=1;
+    );
+    if(max([p2,q2])<em2 % min([p2,q2])>eM2,
+      Out=["inf","inf"];
+      Flg=1;
+    );
+  );
+  if(Flg==0 & p2*q2<0,
+    rT=p1-(q1-p1)/(q2-p2)*p2;
+    if(rT>em1 & rT<eM1,
+      if(rT>-Eps0 & rT<1+Eps0,
+        Tmp1=pA+rT*pV;
+        Tmp2=min([max([rT,0]),1]);
+        Out=[Tmp1,Tmp2,0];
+      ,
+        Tmp1=pA+rT*pV;
+        Tmp2=min([max([rT,0]),1]);
+        Out=[Tmp1,Tmp2,1];
+      );
+      Flg=1;
+    );
+    if(Flg==0 & (p1<em1 % p1>eM1 % p2<em2 % p2>eM2),
+      if(q1<em1 % q1>eM1 % q2<em2 % q2>eM2,
+         Out=["inf","inf"];
+         Flg=1;
+      );
+      if(Flg==0,
+        rT=min([max([p1,0]),1]);
+        Tmp1=pA+rT*pV;
+        Out=[Tmp1,rT,1];
+        Flg=1;
+      );
+    );
+  );
+  if(Flg==0 & (p1 > -Eps0 & p1 < 1 + Eps0 & p2 > -Eps0 & p2 < Eps0),
+    rT= p1;
+    Tmp1=pA+rT*pV;
+    Out= [Tmp1, rT, 0];
+    Flg=1;
+  );
+  if(Flg==0 & (q1 > -Eps0 & q1 < 1 + Eps0 & q2 > -Eps0 & q2 < Eps0),
+    rT= q1;
+    Tmp1=pA+rT*pV;
+    Out=[Tmp1,rT,0];
+    Flg=1;
+  );
+  if(Flg==0 & (p1<em1 %  p1>eM1 % p2<em2 % p2>eM2),
+    if(q1<em1 % q1>eM1 % q2<em2 % q2>eM2,
+      Out=["inf","inf"];      
+      Flg=1;
+    );
+    if(Flg==0,
+      rT=min([max([q1,0]),1]);
+      Tmp1=pA+rT*pV;
+      Out=[Tmp1,rT,1];
+      Flg=1;
+    );
+  );
+  if(Flg==0 & (q1<em1 %  q1>eM1% q2<em2 % q2>eM2),
+    rT=min([max([p1,0]),1]);
+    Tmp1=pA+rT*pV;
+    Out=[Tmp1,rT,1];
+    Flg=1;
+  );
+  if(Flg==0,
+    if(abs(p2)<abs(q2),
+      rT=min([max([p1,0]),1]);
+    ,
+      rT=min([max([q1,0]),1]);
+    );
+    Tmp1=pA+rT*pV;
+    Out=[Tmp1,rT,1];
+  );
+ Out;
+);
+
+IntersectcrvsPp(Gr1,Gr2):=IntersectcrvsPp(Gr1,Gr2,[]);
+IntersectcrvsPp(Gr1,Gr2,options):=(
+//help:IntersectcrvsPp("gr1","pa1");
+  regional(Out,Eps,Eps2,Eps0,Flg,Data1,Data2,
+    Tmp1,Tmp2,Tmp3,Tmp,KL1,KL2,pA,pB,Ni,Nj,
+    pP,pQ,rT,Flg,eqL,realL,opstr,Dif);
+  Eps=10^(-4);
+  Eps2=0.1;
+  Dif=0.05; // 2015.05.31
+  Flg=0;
+  Tmp1=Divoptions(options); // 
+  eqL=Tmp1_5;
+  realL=Tmp1_6;
+  opstr=Tmp1_(length(Tmp1));
+  forall(eqL,
+    if(substring(#,0,1)=="D",
+      Tmp1=indexof(#,"=");
+      Dif=parse(substring(#,Tmp1,length(#)));
+    );
+  );
+  Tmp1=length(realL);
+  if(Tmp1>0,
+    Eps=realL_1;
+    if(Tmp1>1,
+      Eps2=realL_2;
+    );
+  );
+  Flg=0;
+  if(isstring(Gr1),Data1=parse(Gr1),Data1=Gr1);
+  if(isstring(Gr2),Data2=parse(Gr2),Data2=Gr2);
+  if(MeasureDepth(Data1)==2,Data1=Data1_1);
+  if(MeasureDepth(Data2)==2,Data2=Data2_1);
+  Data1=apply(Data1,LLcrd(#));
+  Data2=apply(Data2,LLcrd(#));
+  if(length(Data1)==length(Data2),
+    Tmp1=Reverse(Data2); 
+    Eps0=10^(-6);
+    Tmp2=0;
+    forall(1..length(Data1),
+      Tmp2=Tmp2+abs(Data1_#-Data2_#);
+    );
+    Tmp3=0;
+    forall(1..length(Data1),
+      Tmp3=Tmp3+abs(Data1_#-Tmp1_#);
+    );
+    if(Tmp2<Eps0 % Tmp3<Eps0,
+      Out=[];
+      Flg=1;
+    );
+  );
+  if(Flg==0,
+    KL1=[];
+    KL2=[];
+    forall(1..(length(Data1)-1),Ni,
+      pA=Data1_Ni;
+      pB=Data1_(Ni+1);
+      forall(1..(length(Data2)-1),
+        pP=Data2_#; pQ=Data2_(#+1);
+        Tmp=Koutenseg(pA,pB,pP,pQ,[Eps,Eps2]);
+        if(Tmp!=["inf","inf"],
+          if(Tmp_3==0,
+            Tmp1=[Tmp_1,Tmp_2,Ni,#];
+            KL1=concat(KL1,[Tmp1]);
+          ,
+            Tmp2=[Tmp_1,Tmp_2,Ni,#];
+            KL2=concat(KL2,[Tmp2]);
+          );
+        );
+      );
+    );
+    Out=[];
+    if(length(KL1)>0,
+      Tmp=KL1_1;
+      pP=Tmp_1;
+      rT=Tmp_2;
+      Ni=Tmp_3;
+      Nj=Tmp_4;
+      Tmp=[pP,Ni+rT,Nj];
+      Out=[Tmp];
+    );
+    forall(2..length(KL1),Ni, 
+      Tmp=KL1_Ni; 
+      pP=Tmp_1;
+      Tmp2=0;
+      Flg=0;
+      forall(1..length(Out),Nj,
+        if(Flg==0,
+          Tmp=Out_Nj;
+          if(|pP-Tmp_1|<Eps,
+            Tmp2=1;
+            Flg=1;
+          );
+        );
+      );
+      if(Tmp2==0,
+        Tmp=KL1_Ni; 
+        pP=Tmp_1;
+        rT=Tmp_2;
+        Tmp1=Tmp_3;
+        Tmp2=Tmp_4;
+        Tmp=[pP,Tmp1+rT,Tmp2];
+        Out=concat(Out,[Tmp]);
+      );
+    );
+    forall(1..length(KL2),Ni,
+      Tmp=KL2_Ni;  // 15.11.21 Usui
+      pP=Tmp_1; 
+      Tmp2=0;
+      Flg=0;
+      forall(1..length(Out),Nj,
+        if(Flg==0,
+          Tmp=Out_Nj;
+          if(|pP-Tmp_1|<Eps,
+            Tmp2=1;
+            Flg=1;
+          );
+        );
+      );
+      if(Tmp2==0,
+        Tmp=KL2_Ni;
+        rT=Tmp_2;
+        rT=min([max([rT,0]),1]);  // 15.11.21 Usui
+        Tmp=[pP,Tmp_3+rT,Tmp_4];
+        Out=concat(Out,[Tmp]);
+      );
+    );
+  );
+  Tmp1=Out;  // 15.04.06 from
+  Out=[];
+  forall(Tmp1,Tmp2,
+    Tmp3=select(1..(length(Out)),|Out_#_1-Tmp2_1|<Dif);//16.11.27
+    if(length(Tmp3)==0,
+      Out=append(Out,Tmp2);
+    ,
+      forall(Tmp3,//16.11.27
+        Out_#=(Out_#+Tmp2)/2;
+      );
+    );
+  ); // 15.04.06 upto
+  Out;
+);
+
+Intersectcrvs(Gr1,Gr2):=Intersectcrvs(Gr1,Gr2,[]);
+//help:Intersectcrvs("gr1","pa1");
+Intersectcrvs(Gr1,Gr2,options):=(
+  regional(tmp,tmp1,tmp2);
+  tmp1=IntersectcrvsPp(Gr1,Gr2,options);
+  apply(tmp1,#_1);
+);
+
+NearestptcrvPhy(point,PL):=(
+  regional(tmp,pP,plist);
+  pP=Pcrd(point);
+  if(isstring(PL),plist=parse(PL),plist=PL);
+  if(MeasureDepth(plist)==2,plist=plist_1);
+  plist=apply(plist,#);  // 14.12.18
+  tmp=Nearestpt(pP,plist);
+  tmp=tmp_1;
+  [tmp_1/SCALEX,tmp_2/SCALEY];
+);
+
+Nearestptcrv(point,plist):=(
+//help:Nearestptcrv(A,"gr1");
+  regional(tmp);
+  tmp=Nearestpt(point,plist);
+  tmp_1;
+);
+
+Nearestpt(point,PL2):=(
+  regional(PL1,PL,Ans,Flg,Eps,pA,Pm,Im,Sm,Nn,Ni,
+      a1,b1,a2,b2,v1,v2,x1,x2,Tmp,rT,pP,sS,Lm,Pm,Sm,Flg);
+//help:Nearestpt("gr1","gr2");
+  if(isstring(point),PL1=parse(point),PL1=point);
+  if(MeasureDepth(PL1)==2,PL1=PL1_1);
+  if(!islist(PL1_1),
+    PL1=[PL1];
+    Flg=0;
+  ,
+    Flg=1;
+  );
+  if(isstring(PL2),PL=parse(PL2),PL=PL2);
+  if(MeasureDepth(PL)==2,PL=PL_1);
+  Eps=10^(-6);
+  Ans=[PL1_1,1,PL_1,1,|PL1_1-PL_1|];
+  forall(1..length(PL1),Nn, // 16.05.04
+    pA=PL1_Nn;
+    Pm=PL_1;
+    Im=1;
+    Sm=|Pm-pA|;
+    forall(1..(length(PL)-1),Ni,
+      a1=PL_Ni_1; a2=PL_Ni_2;
+      b1=PL_(Ni+1)_1; b2=PL_(Ni+1)_2;
+      v1=b1-a1; v2=b2-a2;
+      x1=pA_1; x2=pA_2;
+      Tmp=v2^2+v1^2;
+      if(abs(Tmp)>Eps,
+        rT=(-a2*v2-v1*a1+v1*x1+x2*v2)/Tmp;
+        if(rT<-Eps,
+          pP=[a1,a2];
+        ,
+          if(rT>1+Eps,
+            pP=[b1,b2];
+          ,
+            pP=[a1+rT*v1,a2+rT*v2];
+          );
+        );
+        sS=|pP-pA|;
+        if(sS<Sm-Eps,
+          Tmp=ParamonCurve(pP,Ni,PL);
+          Pm=pP; Lm=Tmp; Sm=sS;
+        );
+      );
+      if(Sm<Ans_5,  // 16.05.03from
+        Ans=[pA,Nn,Pm,Lm,Sm];
+      );
+    );  // 16.05.03upto
+  );
+  if(Flg==0,
+    Ans=Ans_(3..5);
+  );
+  Ans;
+);
+
+Derivative(fun,var,value):=(
+//help:Derivative("x^3","x",2);
+  regional(str,tmp);
+  str="d(";
+  str=str+replace(fun,var,"#")+",";
+  str=str+value+")";
+  tmp=Pcrd([1,parse(str)]);  // 14.11.08
+  tmp_2;
+);
+
+Integrate(pltdata,range):=Integrate(pltdata,range,[]);
+Intergrate(Arg1,Arg2,Arg3):=(
+  regional(pltdata,range,options,fnstr,vartr);
+  if(islist(Arg2),
+    pltdata=Arg1;
+    range=Arg2;
+    options=Arg3;
+    Integrate(pltdata,range,options);
+  ,
+    fnstr=Arg1;
+    vastr=Arg2;
+    range=Arg3;
+    Integrate(fnstr,vastr,range,[]);    
+  );
+);
+
+Integrate(pltdata,range,options):=(
+//help:Integrate("gr1",[1,3]);
+//help:Integrate("gr1",[1,3],["Rule=t"]);
+  regional(tmp,tmp1,eqL,Rule,pdata,Sm,ptP,ptQ,list,va1,va2);
+  tmp=Divoptions(options);
+  eqL=tmp_5;
+  Rule="o";
+  forall(eqL,
+    if(Toupper(substring(#,0,1))=="R",
+      tmp=indexof(#,"=");
+      Rule=substring(#,tmp,tmp+1); 
+    );
+  );
+  if(Rule=="o",
+    Sm= IntegrateO(pltdata,range);
+  ,
+    if(isstring(pltdata),pdata=parse(pltdata),pdata=pltdata);
+    if(MeasureDepth(pdata)==2,pdata=pdata_1);
+    va1=MeetCurve(pdata,range_1,0);
+    va2=MeetCurve(pdata,range_2,0);
+    list=select(pdata,(#_1>range_1 & #_1<range_2));
+    list=apply(list,LLcrd(#));  // 15.09.14
+    list=concat([va1],list);
+    list=concat(list,[va2]);
+    Sm=0;
+    forall(1..(length(list)-1),
+      ptP=list_#;           // 15.09.14
+      ptQ=list_(#+1);
+      Sm=Sm+(ptP_2+ptQ_2)*(ptQ_1-ptP_1)/2;
+    );
+    Sm;
+  );
+);
+
+Integrate(fnstr,vastr,range,options):=(
+//help:Integrate("sin(x)","x",[0,pi],["Num=100","Rule=s"]);
+  regional(tmp,tmp1,Sm,Lx,Rx,va1,va2,Num,Waysx,ex,dx,xn,yn,x0,x1,x2,y0,y1,y2);
+  Num=100;
+  Way="t";
+  forall(options,
+    if(indexof(#,"=")>0,
+      if(indexof(#,"N=")>0,
+        Num=parse(substring(#,indexof(#,"="),length(#)));
+      );
+      if(indexof(#,"Num=")>0,
+        Num=parse(substring(#,indexof(#,"="),length(#)));
+      );
+      if(Toupper(substring(#,0,1))=="R",
+        tmp=indexof(#,"=");
+        Way=substring(#,tmp,tmp+1);
+      );
+	);
+  );
+  Sm=0;
+  if(Way=="t",
+    forall(1..Num,
+      Lx=range_1+(range_2-range_1)*(#-1)/Num;
+      Rx=range_1+(range_2-range_1)*#/Num;
+      va1=parse(replace(fnstr,vastr,textformat(Lx,5)));
+      va2=parse(replace(fnstr,vastr,textformat(Rx,5)));
+      Sm=Sm+(va1+va2)*(Rx-Lx)/2;
+    );
+  ,
+    sx=range_1;
+    ex=range_2;
+    dx=(ex-sx)/Num;
+    xn=apply(0..Num,sx+#*dx);
+    yn=apply(xn,parse(replace(fnstr,vastr,textformat(#,5))));
+    dx=dx/2;
+    repeat(Num,s,
+      x0=xn_s;
+      x1=(xn_s+xn_(s+1))/2;
+      x2=xn_(s+1);
+      y0=yn_s;
+      y1=parse(replace(fnstr,vastr,textformat(x1,5)));
+      y2=yn_(s+1);
+      Sm=Sm+dx*(y0+4*y1+y2)/3;
+    ); 
+  );
+  Sm;
+);
+
+IntegrateO(p0org,p1org,p2org,p3org):=(
+  regional(p0,p1,p2,p3,pQ,pR,cc,p01,p02,
+     p11,p12,p21,p22,p31,p32, tmp);
+  if(ispoint(p0org),p0=p0org.xy,p0=p0org);  // 16.03.10
+  if(ispoint(p1org),p1=p1org.xy,p1=p1org); // 16.03.16
+  if(ispoint(p2org),p2=p2org.xy,p2=p2org);
+  if(ispoint(p3org),p3=p3org.xy,p3=p3org);
+  tmp=1+sqrt((1+Dotprod(p2-p0,p3-p1)/|p2-p0|/|p3-p1|)/2);
+  cc=4*|p2-p1|/3/(|p2-p0|+|p3-p1|)/tmp;
+  pQ=p1+cc*(p2-p0);
+  pR=p2+cc*(p1-p3);
+  p01=p1_1; p02=p1_2;
+  p31=p2_1; p32=p2_2;
+  p11=pQ_1; p12=pQ_2;
+  p21=pR_1; p22=pR_2;
+  tmp=-6*p12*p01+3*p12*p21+3*p12*p31+6*p02*p11-
+         10*p02*p01+3*p02*p21+p02*p31-3*p22*p11-
+         3*p22*p01+6*p22*p31-3*p32*p11-p32*p01-
+         6*p32*p21+10*p32*p31;
+  tmp=tmp/20;
+);
+IntegrateO(pltdata,rangeorg):=(
+//help:IntegrateO("gr1",[0,2]);
+  regional(tmp,tmp1,tmp2,pdata,va1,va2,list,Bzk,Bzc,range,pmflg,
+    Sm,p0,p1,p2,p3,pQ,pR,cc,p01,p02,p11,p12,p21,p22,p31,p32);
+  if(isstring(pltdata),pdata=parse(pltdata),pdata=pltdata);
+  if(MeasureDepth(pdata)==2,pdata=pdata_1);
+  range=rangeorg;
+  pmflg=1;
+  if(range_2<range_1,
+    range=reverse(range);
+    pmflg=-1;
+  );
+  va1=MeetCurve(pdata,range_1,0);
+  va2=MeetCurve(pdata,range_2,0);
+  list=select(pdata,(#_1>range_1 & #_1<range_2));
+  if((length(list)>0) & (list_1_1>list_(length(list))_1),
+    list=reverse(list);
+//    pmflg=pmflg*(-1);
+  );
+  list=apply(list,LLcrd(#));  
+  list=concat([va1],list);
+  list=concat(list,[va2]);
+  Sm=0;
+  forall(1..(length(list)-1),
+    p1=list_#;
+    p2=list_(#+1);
+    if(#==1 % #==length(list)-1,
+      tmp1=(p1_2+p2_2)*(p2_1-p1_1)/2;
+      Sm=Sm+tmp1;
+    ,
+      p0=list_(#-1);
+      p3=list_(#+2);
+      tmp=1+sqrt((1+Dotprod(p2-p0,p3-p1)/|p2-p0|/|p3-p1|)/2);
+      cc=4*|p2-p1|/3/(|p2-p0|+|p3-p1|)/tmp;
+      pQ=p1+cc*(p2-p0);
+      pR=p2+cc*(p1-p3);
+      p01=p1_1; p02=p1_2;
+      p31=p2_1; p32=p2_2;
+      p11=pQ_1; p12=pQ_2;
+      p21=pR_1; p22=pR_2;
+      tmp1=-6*p12*p01+3*p12*p21+3*p12*p31+6*p02*p11-
+         10*p02*p01+3*p02*p21+p02*p31-3*p22*p11-
+         3*p22*p01+6*p22*p31-3*p32*p11-p32*p01-
+         6*p32*p21+10*p32*p31;
+      tmp1=tmp1/20;
+      Sm=Sm+tmp1;
+    );
+  );
+  if(pmflg==-1,
+    Sm=-Sm;
+  );
+  Sm;
+);
+
+Findarea(pdstr):=(
+//help:Findarea("sgABCA");
+  regional(pd,p1,p2,s,tmp);
+  if(isstring(pdstr),pd=parse(pdstr),pd=pdstr);
+  s=0;
+  forall(1..(length(pd)-1),
+    p1=Lcrd(pd_#);
+    p2=Lcrd(pd_(#+1));
+    tmp=(p1_2+p2_2)*(p2_1-p1_1)/2;
+    s=s+tmp;
+  );
+  if(s<0,s=-s);
+  s;
+);
+
+Findarea(pdstr):=(  // 15.11.27
+//help:Findarea("cr1");
+  regional(pd,p0,p1,p2,p3,s,tmp);
+  if(isstring(pdstr),pd=parse(pdstr),pd=pdstr);
+  s=0;
+  forall(1..(length(pd)-1),
+    p1=pd_#;
+    p2=pd_(#+1);
+    if(#==1,p0=pd_(length(pd)-1),p0=pd_(#-1));
+    if(#==length(pd)-1,p3=pd_2,p3=pd_(#+2));
+    tmp=IntegrateO(p0,p1,p2,p3);
+    s=s+tmp;
+  );
+  if(s<0,s=-s);
+  s;
+);
+
+Findlength(pdstr):=(
+//help:Findlength("gr1");
+  regional(pd,p1,p2,s,tmp);
+  if(isstring(pdstr),pd=parse(pdstr),pd=pdstr);
+  s=0;
+  forall(1..(length(pd)-1),
+    p1=Lcrd(pd_#);
+    p2=Lcrd(pd_(#+1));
+    tmp=|p2-p1|;
+    s=s+tmp;
+  );
+  s;
+);
+
+Inversefun(fnstr,rngstr,value):=(
+  regional(tmp,varstr,range,x1,x2,x3,va1,va2);
+  tmp=indexof(rngstr,"=");
+  varstr=substring(rngstr,0,tmp-1);
+  range=parse(substring(rngstr,tmp,length(rngstr)));
+  x1=range_1; x2=range_2;
+  repeat(15,
+    x3=(x1+x2)/2;
+    va1=parse(replace(fnstr,varstr,textformat(x1,5)));
+    va2=parse(replace(fnstr,varstr,textformat(x3,5)));
+    if((va1>value & va2>value) % (va1<value & va2<value),
+      x1=x3;
+    ,
+      x2=x3;
+    );
+  );
+  va1=parse(replace(fnstr,varstr,textformat(x1,5)))-value;
+  va2=parse(replace(fnstr,varstr,textformat(x2,5)))-value;
+  if(x1==range_1 % x2==range_2, 
+    println("not found in ("+textformat(range_1,5)
+	     +","+textformat(range_2,5)+")");
+  );
+  if(abs(va1)<=abs(va2),x1,x2);
+);
+
+Lcrd(pt):=(
+  regional(tmp);
+  if(ispoint(pt),
+    tmp=[pt.x/SCALEX,pt.y/SCALEY];
+  ,
+    tmp=pt;
+  );
+  tmp;
+);
+
+Pcrd(pt):=(
+  regional(tmp);
+  if(ispoint(pt),
+    tmp=re(pt.xy); // 15.07.24
+  ,
+    tmp=[pt_1*SCALEX,pt_2*SCALEY];
+  );
+ tmp;
+);
+
+LLcrd(pt):=(
+  regional(tmp);
+  if(ispoint(pt),
+    tmp=pt.xy
+  ,
+    tmp=pt;
+  );
+  tmp=[tmp_1/SCALEX,tmp_2/SCALEY];
+  tmp;
+);
+
+Doscaling(pltdata):=(
+  regional(Level,Out,gL,gr,tmp);
+  if(ispoint(pltdata) % isreal(pltdata_1),
+    gL=[[pltdata]];
+    Level=0;
+  ,
+    if(ispoint(pltdata_1) % isreal(pltdata_1_1),
+      gL=[pltdata];
+      Level=1;
+    ,
+      gL=pltdata;
+      Level=2;
+    );
+  );
+  Out=[];
+  forall(gL,gr,
+    tmp=apply(gr,Lcrd(#));
+    tmp=apply(tmp,LLcrd(#));
+    Out=concat(Out,[tmp]);
+  );
+  if(Level==0,
+    Out=Out_1_1;
+  );
+  if(Level==1,
+    Out=Out_1;
+  );
+  Out;
+);
+
+Unscaling(pltdata):=(
+  regional(Level,Out,gL,gr,tmp);
+   if(ispoint(pltdata) % isreal(pltdata_1),
+    gL=[[pltdata]];
+    Level=0;
+  ,
+    if(ispoint(pltdata_1) % isreal(pltdata_1_1),
+      gL=[pltdata];
+      Level=1;
+    ,
+      gL=pltdata;
+      Level=2;
+    );
+  );
+  Out=[];
+  forall(gL,gr,
+    tmp=apply(gr,Lcrd(#));
+    tmp=apply(tmp,LLcrd(#));
+    Out=concat(Out,[tmp]);
+  );
+  if(Level==0,
+    Out=Out_1_1;
+  );
+  if(Level==1,
+    Out=Out_1;
+  );
+  Out;
+);
+
+Definecolor(name,data):=(
+//help:Definecolor("mycolor",[1,1,1,0]);
+  regional(type,tmp);
+  if(length(data)>3,type="cmyk",type="rgb");  
+  tmp=text(data);
+  tmp=substring(tmp,1,length(tmp)-1);
+  tmp="\definecolor{"+name+"}{"+type+"}{"+tmp+"}";
+  Texcom(tmp);
+);
+
+Setcolor(Par):=(
+//help:Setcolor([1,0,0,1]);
+//help:Setcolor([1,1,0]);
+  if(islist(Par),
+    if(length(Par)==3,
+      Setcolorrgb(Par);  // 2015.04.28
+//      KCOLOR=Par;  
+    );
+    if(length(Par)==4,
+      Setcolor(Par,[]);
+    );
+  ,
+    Setcolor(Par,[]);
+  );
+);
+
+Setcolor(colorname,options):=(
+//help:Setcolor("greenyellow",0.3);
+  regional(tmp);
+  if(isstring(colorname),
+    tmp="Setcolor("+Dq+colorname+Dq;
+    if(length(options)>0,
+      tmp=tmp+","+text(options_1);
+    );
+    Com2nd(tmp+")");
+  );
+  if(islist(colorname),
+    tmp=text(colorname);
+    tmp=substring(tmp,1,length(tmp)-1);
+    tmp="Texcom("+Dq+"\color[cmyk]{"+tmp+"}"+Dq+")";
+    Com2nd(tmp);
+  );
+);
+
+Setcolorrgb(colorlist):=(
+// help:Setcolorrgb([0.5,0.3,0.4]);
+  regional(tmp);
+  tmp=text(colorlist);
+  tmp=substring(tmp,1,length(tmp)-1);
+  tmp="Texcom("+Dq+"\color[rgb]{"+tmp+"}"+Dq+")";
+  Com2nd(tmp);
+);
+
+ColorRgb2Cmyk(clr):=(
+// help:ColorRgb([0.2,0.5,0.1]);
+  regional(clrnew,tmp,black);
+  tmp=apply(clr,1-#);
+  black=min(tmp);
+  tmp=apply(clr,(1-#-black)/(1-black));
+  clrnew=append(tmp,black);
+  clrnew;
+);
+
+ColorCmyk2Rgb(clr):=(
+// help:ColorRgb([0.2,0.5,0.1,0.2]);
+  regional(clrnew,tmp,black);
+  black=clr_4;
+  tmp=apply(clr,1-min(1,#*(1-black)+black));
+  clrnew=tmp_(1..3);
+  clrnew;
+);
+
+Colorrgbhsv(rgb):=(
+  regional(varR,varG,varB,varMin,varMax,delMax,hh,ss,vv,delR,delG,delB);
+  varR = rgb_1;
+  varG = rgb_2;
+  varB = rgb_3;
+  varMin = min( [varR, varG, varB] );
+  varMax = max( [varR, varG, varB] );
+  delMax = varMax - varMin ;
+  vv = varMax;
+  if ( delMax == 0 , 
+    hh = 0 ; 
+    ss = 0 ;
+  ,
+    ss = delMax / varMax;
+    delR = ( ( ( varMax - varR ) / 6 ) + ( delMax / 2 ) ) / delMax;
+    delG = ( ( ( varMax - varG ) / 6 ) + ( delMax / 2 ) ) / delMax;
+    delB = ( ( ( varMax - varB ) / 6 ) + ( delMax / 2 ) ) / delMax;
+    if( varR == varMax ,
+      hh = delB - delG;
+    , 
+      if ( varG == varMax, 
+        hh = ( 1 / 3 ) + delR - delB;
+      , 
+        if ( varB == varMax ,
+          hh = ( 2 / 3 ) + delG - delR;
+        );
+      );
+    );
+    if ( hh < 0 ,hh = hh+1);
+    if ( hh > 1 ,hh = hh-1);
+  );
+  [hh*360,ss,vv]; 
+);
+ 
+Colorhsvrgb(sL):=(
+  regional(tmp,tmp1,tmp2,tmp3,hi,ff,dL);
+  tmp=[sL_1/60,sL_2,sL_3];
+  hi=mod(floor(tmp_1),6);
+  ff=tmp_1-floor(tmp_1);
+  tmp2=tmp_3*[1-tmp_2,1-tmp_2*ff,1-tmp_2*(1-ff)];
+  tmp2=append(tmp2,tmp_3);
+  if(hi==0,dL=tmp2_[4,3,1]);
+  if(hi==1,dL=tmp2_[2,4,1]);
+  if(hi==2,dL=tmp2_[1,4,3]);
+  if(hi==3,dL=tmp2_[1,2,4]);
+  if(hi==4,dL=tmp2_[3,1,4]);
+  if(hi==5,dL=tmp2_[4,1,2]);
+  dL;
+);
+
+Colorrgbhsl(rgb):=(
+  regional(rr,gg,bb,mn,mx,delta,deltaR,deltaG,deltaB,hh,ss,ll);
+  rr = rgb_1 ;
+  gg = rgb_2 ;
+  bb = rgb_3 ;
+  mn = min([rr, gg, bb]);
+  mx = max([rr, gg, bb]);
+  delta = mx - mn;
+  ll = (mx + mn) / 2;  
+  if (delta ==  0,
+    hh=0; 
+    ss=0; 
+  ,
+    if (ll < 0.5,
+      ss = delta/ (mx + mn);
+    ,
+      ss = delta / (2 - mx - mn);
+    );
+    deltaR = (((mx - rr) / 6) + (delta / 2)) / delta;
+    deltaG = (((mx - gg) / 6) + (delta / 2)) / delta;
+    deltaB = (((mx - bb) / 6) + (delta / 2)) / delta;
+    if (rr == mx,
+       hh = deltaB - deltaG;
+    , 
+      if (gg == mx,
+        hh = (1 / 3) + deltaR - deltaB;
+      , 
+        if (bb == mx,
+          hh = (2 / 3) + deltaG - deltaR;
+        );
+      );
+    );
+    if ( hh < 0, hh = hh+1);
+    if ( hh > 1, hh = hh-1);
+  );
+  [hh*360,ss,ll];
+);
+
+Colorhslrgb(hsl):=(
+  regional(hh,ss,ll,rr,gg,bb,var1,var2);
+  hh=hsl_1/360;
+  ss=hsl_2;
+  ll=hsl_3;
+  if ( ss == 0.0,
+    rr = ll ;
+    gg = ll ;
+    bb = ll ;
+  ,
+    if ( ll < 0.5 ,
+      var2 = ll * ( 1.0 + ss );
+    ,
+      var2 = ( ll + ss ) - ( ss * ll );
+    );
+    var1 = 2.0 * ll - var2;
+    rr = hue2rgb( var1, var2, hh + ( 1.0 / 3.0 ) );
+    gg = hue2rgb( var1, var2, hh );
+    bb = hue2rgb( var1, var2, hh - ( 1.0 / 3.0 ) );
+  );
+  [rr,gg,bb];
+);
+
+hue2rgb(vv1,vv2,vh):=(
+  regional(out);
+  if ( vh < 0.0 ,vh =vh+1);
+  if ( vh > 1.0 ,vh =vh-1);
+  if ( 6.0*vh  < 1.0 ,
+    out = vv1 + ( vv2 - vv1 ) * 6.0 * vh ;
+  ,
+    if( 2.0*vh  < 1.0 ,
+      out = vv2;
+    ,
+      if ( 3.0*vh  < 2.0 ,
+        out = vv1 + ( vv2 - vv1 ) * ( ( 2.0 / 3.0 ) - vh ) * 6.0 ;
+      ,
+      out= vv1 ;
+      );
+    );
+  );
+  out;
+);
+
+Colorrgbhwb(sL):=(
+  regional(dl1,dl2,dl3);
+  dl1 = Colorrgbhsl(sL)_1;//Colorcode("rgb","hsl",sL)_1;
+  dl2 =  min(sL);
+  dl3 = 1 -  max(sL);
+  dL= [dl1, dl2 , dl3 ];
+);
+
+Colorhwbrgb(sLorg):=(
+  regional(sL,tmp,tmp1,tmp2,tmp3,ratio,ff,ii,vv,nn,dL,flg);
+  sL=sLorg;
+  sL=[sL_1/360,sL_2,sL_3];
+  ratio = sL_2 + sL_3;
+  // sL_2 + sL_3 cant be > 1
+  if (ratio > 1.,
+    sL_2 =sL_2 / ratio;
+    sL_3 = sL_3 / ratio;
+  );
+  ii = floor(6 * sL_1);
+  vv = 1 - sL_3;
+  ff = 6 * sL_1 - ii;
+  if(mod(ii,2)==1,ff = 1 - ff); 
+  nn = sL_2 + ff * (vv - sL_2); // linear interpolation
+  tmp=[[vv,nn,sL_2],[nn,vv,sL_2],[sL_2,vv,nn],
+       [sL_2,nn,vv],[nn,sL_2,vv],[vv,sL_2,nn],[vv,nn,sL_2]];
+  flg=0;
+  forall(0..6,
+    if(flg==0 & ii == # ,
+      dL=tmp_(#+1);
+      flg=1;
+    );
+  );
+ dL;
+);
+
+Colorhslhsv(sL):=(
+  regional(dl1,dl2,dl3,dL);
+  dl1=sL_1;
+  if(sL_3 == 0,
+    // no need to do calc on black
+    // also avoids divide by 0 error
+    dL= [0, 0, 0];
+  ,
+  sL_3 = sL_3 * 2;
+  if(sL_3 <= 1,sL_2 = sL_2 * sL_3,sL_2 = sL_2 * (2 - sL_3));
+  dl3 = (sL_3 + sL_2) / 2;
+  dl2 = (2 * sL_2) / (sL_3 + sL_2);
+  dL = [dl1, dl2, dl3];
+  );
+  dL;
+);
+
+Colorcode(src,dest,sL):=(
+//help:Colorcode("rgb","cmyk",[1,0.5,0]);
+  regional(tmp,tmp1,tmp2,tmp3,mn,mx,delta,black,dL,flg);
+  regional(dl1,dl2,dl3);
+  if(src=="rgb" & dest=="hsv", dL=Colorrgbhsv(sL));
+  if(src=="hsv" & dest=="rgb", dL=Colorhsvrgb(sL));
+  if(src=="rgb" & dest=="hsl", dL=Colorrgbhsl(sL));
+  if(src=="hsl" & dest=="rgb", dL=Colorhslrgb(sL));
+  if(src=="rgb" & dest=="hwb", dL=Colorrgbhwb(sL));
+  if(src=="hwb" & dest=="rgb", dL=Colorhwbrgb(sL));
+  if(src=="hsl" & dest=="hsv", dL=Colorhslhsv(sL));
+  if(src=="hsv" & dest=="hsl",
+    dl1 = sL_1; 
+    dl3 = (2 - sL_2) * sL_3;
+    dl2 = sL_2 * sL_3;
+    if(dl3 <= 1,dl2 = dl2/dl3,dl2=dl2/(2 - dl3));
+    dl3 =d l3/ 2;
+    dL = [dl1, dl2 , dl3 ];
+  );
+
+  if(src=="rgb" & dest=="cmyk",
+    tmp=apply(sL,1-#);
+    black=min(tmp);
+    tmp=apply(sL,(1-#-black)/(1-black));
+    dL=append(tmp,black);
+  );
+  if(src=="cmyk" & dest=="rgb",
+    black=sL_4;
+    tmp=apply(sL,1-min(1,#*(1-black)+black));
+    dL=tmp_(1..3);
+  );
+  if(src=="hsv" & dest=="cmyk",
+    tmp=Colorcode("hsv","rgb",sL);
+    dL=Colorcode("rgb","cmyk",tmp);
+  );
+  if(src=="cmyk" & dest=="hsv",
+    tmp=Colorcode("cmyk","rgb",sL);
+    dL=Colorcode("rgb","hsv",tmp);
+  );
+
+  if(src=="hsv" & dest=="hwb",
+    tmp = Colorcode("hsv","rgb",sL);
+    dL = Colorcode("rgb","hwb",tmp);
+  );
+  if(src=="hwb" & dest=="hsv",
+    tmp = Colorcode("hwb","rgb",sL);
+    dL = Colorcode("rgb","hsv",tmp);
+  );
+  if(src=="hsl" & dest=="hwb",
+    tmp = Colorcode("hsl","rgb",sL);
+    dL = Colorcode("rgb","hwb",tmp);
+  );
+  if(src=="hwb" & dest=="hsl",
+    tmp = Colorcode("hwb","rgb",sL);
+    dL = Colorcode("rgb","hsl",tmp);
+  );
+  if(src=="hsl" & dest=="cmyk",
+    tmp = Colorcode("hsl","rgb",sL);
+    dL = Colorcode("rgb","cmyk",tmp);
+  );
+  if(src=="hwb" & dest=="cmyk",
+    tmp = Colorcode("hwb","rgb",sL);
+    dL = Colorcode("rgb","cmyk",tmp);
+  );
+  if(src=="cmyk" & dest=="hsl",
+    tmp = Colorcode("cmyk","rgb",sL);
+    dL = Colorcode("rgb","hsl",tmp);
+  );
+  if(src=="cmyk" & dest=="hwb",
+    tmp = Colorcode("cmyk","rgb",sL);
+    dL = Colorcode("rgb","hwb",tmp);
+  );
+  if(src=="hsb" & dest=="rgb",dL=Colorcode("hsv","rgb",sL));
+  if(src=="rgb" & dest=="hsb",dL=Colorcode("rgb","hsv",sL));
+
+  if(src=="hsb" & dest=="hsl",dL=Colorcode("hsv","hsl",sL));
+  if(src=="hsl" & dest=="hsb",dL=Colorcode("hsl","hsv",sL));
+
+  if(src=="hsb" & dest=="hwb",dL=Colorcode("hsv","hwb",sL));
+  if(src=="hwb" & dest=="hsb",dL=Colorcode("hwb","hsv",sL));
+
+  if(src=="hsb" & dest=="cmyk",dL=Colorcode("hsv","cmyk",sL));
+  if(src=="cmyk" & dest=="hsb",dL=Colorcode("cmyk","hsv",sL));
+
+  dL;
+);
+
+Addcolor(cmdorg,list):=(
+//help:Addcolor("Plotdata('1','x^2','x',[])",[1,1,0]);
+  regional(rgb,cmyk,cmd,tmp,tmp1,tmp2,tmp3,tmp4);
+  cmd=replace(cmdorg,"'",Dq);
+  if(length(list)==3,
+    rgb=list;
+    cmyk=Colorcode("rgb","cmyk",list);
+  ,
+    cmyk=list;
+    rgb=Colorcode("cmyk","rgb",list);
+  );
+  tmp1="color->"+text(rgb);
+  tmp2="Setcolor("+text(cmyk)+");";
+  tmp3=substring(cmd,0,length(cmd)-2);
+  tmp=substring(tmp3,length(tmp3)-1,length(tmp3));
+  if(tmp!="[",
+    tmp3=tmp3+",";
+  );
+  tmp3=tmp3+Dq+tmp1+Dq+"])";
+  parse(tmp2);
+  parse(tmp3);
+  Setcolor("black");
+);
+
+Colorinfile(filename,clrf,clrt):=(
+  regional(tmp,tmp1,tmp2,head,cstrL,chstrL,head,body);
+  if(length(clrf_1)==3,
+    head="[rgb]{";
+  ,
+    head="[cmyk]{";
+  );
+  tmp=apply(clrf,text(#));
+  cstrL=apply(tmp,head+substring(#,1,length(#)-1)+"}");
+  if(length(clrt_1)==3,
+    head="[rgb]{";
+  ,
+    head="[cmyk]{";
+  );
+  tmp=apply(clrt,text(#));
+  chstrL=apply(tmp,head+substring(#,1,length(#)-1)+"}");
+  tmp1=load(filename);
+  tmp=tokenize(tmp1,"{\unitlength");
+  head=tokenize(tmp_1,"%%%");
+  head=head_(2..length(head));
+  head=apply(head,"%%%"+#);
+  tmp2=tmp_2;
+  forall(1..5,
+    tmp2=replace(tmp2,cstrL_#,chstrL_#);
+  );
+  body=tokenize(tmp2,"%");
+  body_1="{\unitlength"+body_1;
+  body=apply(body,#+"%");
+  body=body_(1..(length(body)-1));
+  tmp=replace(filename,".tex","new.tex");
+  SCEOUT=openfile(tmp);
+  forall(head,
+    println(SCEOUT,#);
+  );
+  forall(1..length(body),
+    tmp=body_#;
+    if(#<length(body),
+      println(SCEOUT,tmp);
+    ,
+      print(SCEOUT,tmp)
+    );
+  );
+  closefile(SCEOUT);
+);
+
+GetLinestyle(str,name):=(
+  regional(noflg,tmp,tmp1,tmp2,Dop,Ltype,subflg);
+  Ltype=-1;
+  Dop="";
+  tmp1=indexof(str,",");
+  if(tmp1>0,
+    Dop=","+substring(str,tmp1,length(str));
+  );
+  noflg=parse(substring(str,0,1));
+  if(substring(name,0,3)=="sub",subflg=1,subflg=0);  // 16.02.29
+  tmp1=substring(str,1,3);
+  if(tmp1=="dr" % tmp1=="Dr",
+    Ltype=0;
+    if(noflg==0 & subflg==0, // 16.02.29
+      Drwline(name+Dop);
+    );
+  );
+  if(tmp1=="da" % tmp1=="Da",
+    Ltype=1;
+    if(noflg==0 & subflg==0, // 16.02.29
+      Dashline(name+Dop);
+    );
+  );
+  if(tmp1=="id" % tmp1=="Id",
+    Ltype=2;  // 15.11.09
+    if(noflg==0 & subflg==0, // 16.02.29
+      Invdashline(name+Dop);
+    );
+  );
+  if(tmp1=="do" % tmp1=="Do",
+    Ltype=3;
+    if(noflg==0 & subflg==0, // 16.02.29
+      Dottedline(name+Dop);
+    );
+  );
+  if(tmp1=="dp" % tmp1=="Dp",
+    Ltype=0;
+    tmp1=parse(name);
+    tmp2="";
+    forall(tmp1,
+      tmp2=tmp2+textformat(#_1,5)+",";
+    );
+    tmp2=substring(tmp2,0,length(tmp2)-1);
+    if(noflg==0,
+      Drwpt(tmp2+Dop);
+    );
+  );
+  if(tmp1=="no" % tmp1=="No",
+    Ltype=10;
+  );
+  Ltype;
+);
+
+Chunderscore(str):=(
+  regional(flg,tmp,tmp1,tmp2,tmp3);
+  if(indexof(str,"]")>0,
+    tmp1=replace(str,"]",",]");
+  ,
+    tmp1=str+",";
+  );
+  flg=0;
+  tmp2=[];
+  tmp3=0;
+  forall(1..length(tmp1),
+    if(flg==0,
+      tmp=substring(tmp1,tmp3,length(tmp1));
+      tmp=indexof(tmp,"_");
+      if(tmp==0,
+        flg=1;
+      ,
+        tmp3=tmp3+tmp;
+        tmp=substring(tmp1,tmp3,length(tmp1));
+        tmp=indexof(tmp,",")-1;
+        tmp=substring(tmp1,tmp3,tmp3+tmp);
+        tmp2=append(tmp2,tmp);
+      );
+    );        
+  );
+  forall(tmp2,
+    tmp1=replace(tmp1,"_"+#,"("+#+")");
+  );
+  if(indexof(str,"]")>0,
+    tmp1=replace(tmp1,",]",")");
+    tmp1=replace(tmp1,"[","list(");
+  ,
+    tmp1=substring(tmp1,0,length(tmp1)-1);
+  );
+  tmp1;
+);
+
+//AddGraph(pltdata):=AddGraph("-"+pltdata,pltdata,[]);
+AddGraph(nm,pltdata):=AddGraph(nm,pltdata,[]);
+//  if(isstring(Arg2),
+//    AddGraph(Arg1,Arg2,[]);
+//  ,
+//    if(MeasureDepth(Arg2)>0,
+//      Addgraph(Arg1,Arg2,[]);
+//    ,
+//      Addgraph("-"+Arg1,Arg1,Arg2);
+//    );
+//  );
+//);
+AddGraph(nm,pltdata,options):=(
+//help:AddGraph("1","imp1"); // 16.04.04
+//help:Addgraph("1",["[pt1]","gr1"],["nodisp"]);
+  regional(name,Ltype,Noflg,opcindy,pdata,fname,flg,
+    tmp,tmp1,tmp2,tmp3);
+  if(substring(nm,0,1)=="-",
+    name=substring(nm,1,length(nm));
+  ,
+    name="ad"+nm;
+  );
+  tmp=Divoptions(options);
+  Ltype=tmp_1;
+  Noflg=tmp_2;
+  opcindy=tmp_9;
+  if(isstring(pltdata),
+    pdata=parse(pltdata)
+  ,
+    if(!islist(pltdata),pdata=[pltdata],pdata=pltdata);
+    pdata=apply(pdata,parse(#));
+  ); // 15.01.22
+  pdata=Flattenlist(pdata);
+  tmp1=[];
+  forall(pdata,tmp2,
+    tmp=apply(tmp2,Pcrd(#));
+    tmp1=append(tmp1,tmp);
+  );
+  if(length(tmp1)==1,tmp1=tmp1_1);
+  pdata=tmp1;
+  if(Noflg<3,
+    println("generate addgraph "+name);
+    tmp=name+"="+textformat(pdata,5);
+    parse(tmp);
+    if(isstring(pltdata), // 16.04.04 from
+      if(indexof(pltdata,"]")>0,
+        tmp1="list(Listplot("+substring(pltdata,1,length(pltdata));
+        tmp1=replace(tmp1,"]",",]");
+      ,
+        tmp1="Listplot("+substring(pltdata,0,length(pltdata))+",]";
+      );
+      flg=0;
+      tmp2=[];
+      tmp3=0;
+      forall(1..length(tmp1),
+        if(flg==0,
+          tmp=indexof(substring(tmp1,tmp3,length(tmp1)),"_");
+          if(tmp==0,
+            flg=1;
+          ,
+            tmp3=tmp3+tmp;
+            tmp=indexof(substring(tmp1,tmp3,length(tmp1)),",")-1;
+            tmp=substring(tmp1,tmp3,tmp3+tmp);
+            tmp2=append(tmp2,tmp);
+          );
+        );        
+      );
+      forall(tmp2,
+        tmp1=replace(tmp1,"_"+#,"("+#+")");
+      );
+      tmp1=replace(tmp1,",]",")");
+      tmp1=replace(tmp1,",","),Listplot(");
+      if(indexof(pltdata,"[")>0,
+        tmp1=tmp1+")";
+      );
+      GLIST=append(GLIST,name+"="+tmp1);
+    ,
+      if(MeasureDepth(pdata)==1,
+        tmp1=name+"=Listplot("+textformat(pdata,5)+")";
+      ,
+        tmp1="list(";
+        forall(1..length(pdata),
+          tmp=name+"p"+textformat(#,5)+"=";
+          if(length(pdata_#)>1,  // 15.01.22
+            tmp=tmp+"Listplot("+textformat(pdata_#,5)+")";
+          ,
+            tmp=tmp+"Pointdata("+textformat(pdata_#_1,5)+")";
+          );
+          GLIST=append(GLIST,tmp);
+          tmp1=tmp1+name+"p"+textformat(#,5)+",";
+        );
+        tmp1=name+"="+substring(tmp1,0,length(tmp1)-1)+")";
+      );
+      GLIST=append(GLIST,tmp1);
+    );
+  );  // 16.04.04 upto
+  if(Noflg<2,
+    if(isstring(Ltype),
+      Ltype=GetLinestyle(text(Noflg)+Ltype,name);
+    ,
+      if(Noflg==1,Ltype=0);
+    );
+    GCLIST=append(GCLIST,[name,Ltype,opcindy]);
+  );
+);
+
+Joincrvs(nm,plotstrL):=Joincrvs(nm,plotstrL,[]);
+Joincrvs(nm,plotstrL,options):=(
+//help:Joincrvs("1",["sgAB","sgDCB"]);
+  regional(plotlist,PtL,Eps,QdL,Flg,Ni,Qd,pP,pS,pQ,pR,rMN,
+        opcindy,tmp,tmp1,tmp2,str,name,Ltype,Noflg);
+  name="join"+nm;
+  plotlist=[];
+  forall(plotstrL,str,
+    if(isstring(str),
+      tmp=parse(str);
+      tmp=apply(tmp,LLcrd(#));
+    ,
+      tmp=str;
+    );
+    plotlist=append(plotlist,tmp);
+  );
+  Eps=10^(-4);
+  tmp=Divoptions(options);
+  Ltype=tmp_1;
+  Noflg=tmp_2;
+  opcindy=tmp_(length(tmp));
+  tmp1=tmp_6;
+  if(length(tmp1)>0,Eps=tmp1_1);
+  QdL=[];
+  forall(plotlist,Qd,
+    if(ispoint(Qd_1) % !islist(Qd_1_1),
+      QdL=concat(QdL,[Qd]);
+    ,
+      forall(Qd,
+        QdL=concat(QdL,[#]);
+      );
+    );
+  );
+  Flg=0;
+  if(length(QdL)==0,
+    PtL=[];
+    Flg=1;
+  );
+  if(Flg==0,
+    PtL=QdL_1;
+    forall(2..length(QdL),Ni,
+      Qd=QdL_Ni;
+      if(Numptcrv(Qd)>1,
+        pP=Ptend(PtL);
+        pS=Ptstart(PtL);
+        pQ=Ptstart(Qd);
+        pR=Ptend(Qd);
+		rMN=min([|pP-pQ|,|pP-pR|,|pS-pQ|,|pS-pR|]);
+        if(rMN==|pP-pR|,
+          Qd=reverse(Qd);
+        ,
+          if(rMN==|pS-pQ|,
+            PtL=reverse(PtL);
+          ,
+            if(rMN==|pS-pR|,
+              PtL=reverse(PtL);
+              Qd=reverse(Qd);
+            );
+          );
+        );
+      );
+      if(rMN>Eps,
+        PtL=concat(PtL,Qd);
+      ,
+        PtL=concat(PtL,Qd_(2..length(Qd)));
+      );
+    );
+  );
+  if(Noflg<3,
+    println("generate joincurve "+name);
+    tmp1=apply(PtL,Pcrd(#));
+    tmp=name+"="+textformat(tmp1,5);
+    parse(tmp);
+    tmp1="";
+    forall(plotstrL,
+        tmp1=tmp1+#+",";
+    );
+    tmp1=substring(tmp1,0,length(tmp1)-1);
+    GLIST=append(GLIST,name+"=Joincrvs("+tmp1+")");
+  );
+  if(Noflg<2,
+    if(isstring(Ltype),
+      Ltype=GetLinestyle(text(Noflg)+Ltype,name);
+    ,
+      if(Noflg==1,Ltype=0);
+    );
+    GCLIST=append(GCLIST,[name,Ltype,opcindy]);
+  );
+  PtL;
+);
+
+Partcrv(nm,pA,pB,PkLstr):=Partcrv(nm,pA,pB,PkLstr,[]);
+Partcrv(nm,pA,pB,PkLstr,options):=(
+//help:Partcrv("1",A,B,"sgABC");
+//help:Partcrv("1",1.3,2.5,"sgABC");
+  regional(PkL,Ans,Eps,Npt,Out1,Out2,tmp,tmp1,Flg,nS,nE,PPL,pP,
+        opcindy,Ta,Tb,name,Ltype,Noflg,DepthFlg);
+  name="part"+nm;
+  if(isstring(PkLstr),PkL=parse(PkLstr),PkL=PkLstr);
+  DepthFlg=0;
+  if(MeasureDepth(PkL)==2,
+    PkL=PkL_1;
+    DepthFlg=1;
+  );
+  PkL=apply(PkL,LLcrd(#));
+  tmp=Divoptions(options);
+  Ltype=tmp_1;
+  Noflg=tmp_2;
+  opcindy=tmp_(length(tmp));
+  Eps=10^(-3);
+  Flg=0;
+  if(isreal(pA),
+    if(pA>pB+Eps,
+      Npt=Numptcrv(PkL);
+      Out1=Partcrv("",pA,Npt,PkLstr,["nodata"]);
+      Out2=Partcrv("",1,pB,PkLstr,["nodata"]);
+      tmp=Ptstart(PkL)-Ptend(PkL);
+      if(|tmp|<Eps,
+		Ans=Joincrvs("",[Out1,Out2],["nodata"]);
+      ,
+        Ans=[apply(Out1,Pcrd(#)),apply(Out2,Pcrd(#))];
+      );
+      Flg=1;
+    );
+    if(Flg==0,
+      nS=ceil(pA);
+	  nE=floor(pB);
+	  PPL=[];
+      if(pA<nS-Eps,
+        pP=(nS-pA)*PkL_(nS-1)+(1-nS+pA)*PkL_nS;
+        PPL=[pP];
+      );
+      PPL=concat(PPL,PkL_(nS..nE));
+      if(pB>nE+Eps,
+        pP=(1-pB+nE)*PkL_nE+(pB-nE)*PkL_(nE+1);
+        PPL=concat(PPL,[pP]);
+      );
+      Ans=PPL;
+      Flg=1;
+    );
+  );
+  if(Flg==0,
+    tmp=Nearestpt(LLcrd(Pcrd(pA)),PkL);
+    Ta=tmp_2;
+    tmp=Nearestpt(LLcrd(Pcrd(pB)),PkL); // 15.09.12
+	Tb=tmp_2;
+    Ans=Partcrv("",Ta,Tb,PkL,["nodata"] );
+    Ans=apply(Ans,Pcrd(#));
+  );
+  if(Noflg<3,
+    println("generate partcrv "+name);
+    tmp1=apply(Ans,Pcrd(#));
+    tmp=name+"="+textformat(tmp1,5);
+    parse(tmp);
+//    GLIST=append(GLIST,  // 16.04.03
+    if(DepthFlg==0,
+      tmp=PkLstr;
+    ,
+      tmp=PkLstr+"(1)";
+    );
+    tmp1=name+"=Partcrv("+textformat(Lcrd(pA),5)
+	     +","+textformat(Lcrd(pB),5)+","+tmp+")"; // 16.04.03
+    GLIST=append(GLIST,tmp1);
+  );
+  if(Noflg<2,
+    if(isstring(Ltype),
+      Ltype=GetLinestyle(text(Noflg)+Ltype,name);
+    ,
+      if(Noflg==1,Ltype=0);
+    );
+    GCLIST=append(GCLIST,[name,Ltype,opcindy]);
+  );
+  Ans;
+);
+
+Opcrvs(num,Fig):=Opcrvs(num,Fig,["nodisp"]);
+Opcrvs(num,Fig,options):=(
+  //help:Subgraph(2,"grfs");
+  regional(name,tmp,tmp1);
+  name="-"+Fig+text(num);
+  tmp=Fig+"_"+text(num);
+  tmp1=parse(tmp);
+  Listplot(name,tmp1,options);
+);
+
+
+Pointdata(nm,list):=Pointdata(nm,list,[]);
+Pointdata(nm,list,options):=(
+//help:Pointdata("1",[2,4],["Size=5"]);
+//help:Pointdata("2",[[2,3],[4,1]]);
+  regional(name,nameL,ptlist,opstr,opcindy,
+      eqL,size,thick,tmp,tmp1,tmp2,tmp3,Ltype,Noflg);
+  name="pt"+nm;
+  nameL=name+"L";
+  println("generate pointdata "+name);
+  tmp=Divoptions(options);
+  Ltype=tmp_1;
+  Noflg=tmp_2;
+  opcindy=tmp_(length(tmp));
+  opstr=tmp_(length(tmp)-1);
+  size="";
+  eqL=tmp_5;
+  if(length(eqL)>0,
+    forall(eqL,
+      tmp=substring(#,0,1);
+      if(tmp=="s" % tmp=="S",
+        tmp=indexof(#,"=");
+        size=substring(#,tmp,length(#));
+      );
+    );
+  );
+  tmp=MeasureDepth(list);
+  if(tmp>0,  // 2015.02.21
+    if(tmp==1,ptlist=list,ptlist=list_1);
+    tmp=apply(ptlist,[textformat(Pcrd(#),5)]);
+    tmp1=text(tmp);
+    tmp2=substring(tmp1,1,length(tmp1)-1);
+    tmp3=tmp1;
+  ,
+    ptlist=list;
+    tmp1=textformat(Pcrd(ptlist),5);
+    tmp2=tmp1;
+    tmp3="["+tmp1+"]";
+  );
+  tmp=name+"="+tmp1;
+  parse(tmp);
+  tmp=nameL+"="+tmp3;
+  parse(tmp);
+  if(Noflg<3,
+    GLIST=append(GLIST,name+"=Pointdata("+tmp2+")");
+  );
+  if(Noflg<2,
+    tmp=[nameL,0,opcindy];
+    GCLIST=append(GCLIST,tmp);
+    if(Noflg==0,
+      if(length(size)>0,
+        Com2nd("Setpt("+size+")");
+      );
+      thick=PenThick/PenThickInit;  // 16.04.09 from
+      if(length(size)>0,tmp1=parse(size),tmp1=1);
+      tmp1=max(tmp1,1)/8; 
+      Setpen(tmp1); // 16.04.09 upto
+      Com2nd("Drwpt(list("+name+")"+opstr+")");
+      Setpen(thick); // 16.04.09
+      if(length(size)>0,
+        Com2nd("Setpt("+textformat(TenSize/TenSizeInit,1)+")");
+      );
+    );
+  );
+  ptlist;
+);
+
+Listplot(nm,list,options):=(
+//help:Listplot([A,B]);
+// help:Listplot(["A","B"]);
+//help:Listplot("1",[[2,1],[3,3]]);
+//help:Listplot(options2=["Msg=yes"]);
+  regional(name,tmp,tmp1,ptlist,Ltype,opcindy,Noflg,eqL,Msg);
+  if(substring(nm,0,1)=="-",  // 16.01.27 from
+    name=substring(nm,1,length(nm));
+  ,
+    name="sg"+nm;
+  ); // upto
+  tmp=Divoptions(options);
+  Ltype=tmp_1;
+  Noflg=tmp_2;
+  eqL=tmp_5;
+  opcindy=tmp_(length(tmp));
+  Msg=1;  // 15.09.17
+  forall(eqL,
+    tmp=substring(#,0,1);
+    if(Toupper(tmp)=="M",
+      tmp=indexof(#,"=");
+      tmp1=substring(#,tmp,tmp+1); // 16.06.28
+      if(Toupper(tmp1)=="N", // 16.06.28
+        Msg=0;
+      );
+    );
+  );
+  if(Noflg<3,
+    if(Msg==1,
+      println("generate Listplot "+name);
+    );
+    if(isstring(list_1),tmp=apply(list,parse(#)),tmp=list); // 15.03.24
+    ptlist=apply(tmp,Pcrd(#));
+    tmp=name+"="+textformat(ptlist,5);
+    parse(tmp);
+    GLIST=append(GLIST,name+"=Listplot("+textformat(list,5)+")"); // 15.12.23
+  );
+  if(Noflg<2,
+    if(isstring(Ltype),
+      Ltype=GetLinestyle(text(Noflg)+Ltype,name);
+    ,
+      if(Noflg==1,Ltype=0);
+    );
+    GCLIST=append(GCLIST,[name,Ltype,opcindy]);
+  );
+  tmp1=apply(list,Lcrd(#));
+  tmp1;
+);
+Listplot(Arg1,Arg2):=(
+  regional(name,list,options,str);
+  if(isstring(Arg1),
+    name=Arg1;
+    list=Arg2;
+    Listplot(name,list,[]);
+  ,
+    list=Arg1;
+    options=Arg2;
+    name="";
+    forall(list, // 16.10.07from
+       name=name+#.name;
+    );// 16.10.07upto
+    Listplot(name,list,options);
+  );
+);
+Listplot(list):=Listplot(list,[]);
+
+Lineplot(nm,list,options):=(
+//help:Lineplot([A,B]);
+//help:Lineplot("1",[[2,1],[3,3]]);
+  regional(name,Out,tmp,tmp1,opstr,opcindy,Mag,Semi,
+      Vec,pA,pB,Ltype,Noflg);
+  name="ln"+nm;
+  Mag=100;
+  Semi="";
+  tmp=Divoptions(options);
+  Ltype=tmp_1;
+  Noflg=tmp_2;
+  opcindy=tmp_(length(tmp));
+  opstr=tmp_(length(tmp)-1);
+  tmp1=tmp_6;
+  if(length(tmp1)>0,Mag=tmp1_1);
+  tmp1=tmp_7;
+  if(length(tmp1)>0,Semi=tmp1_1);
+  pA=Lcrd(list_1); pB=Lcrd(list_2);
+  Vec= Mag/dist(pA,pB)*(pB-pA);
+  if(length(Semi)==0,
+    Out=[pA-Vec,pA+Vec];
+  ,
+    if(Semi=="+",   
+      Out=[pA,pA+Vec];
+    ,
+      Out=[pA-Vec,pA];
+    );
+  );
+  if(Noflg<3,
+    println("generate Lineplot "+name);
+    tmp1=apply(Out,Pcrd(#));
+    tmp=name+"="+textformat(tmp1,5);
+    parse(tmp);
+    GLIST=append(GLIST,name+"=Lineplot("+textformat(list,5)+opstr+")");
+  );
+  if(Noflg<2,
+    if(isstring(Ltype),
+      Ltype=GetLinestyle(text(Noflg)+Ltype,name);
+    ,
+      if(Noflg==1,Ltype=0);
+    );
+    GCLIST=append(GCLIST,[name,Ltype,opcindy]);
+  );
+  Out;
+);
+Lineplot(Arg1,Arg2):=(
+  regional(name,list,options,str);
+  if(isstring(Arg1),
+    name=Arg1;
+    list=Arg2;
+    Lineplot(name,list,[]);
+  ,
+    list=Arg1;
+    options=Arg2;
+    name="";
+    forall(list, // 16.10.07from
+       name=name+#.name;
+    );// 16.10.07upto
+    Lineplot(name,list,options);
+  );
+);
+Lineplot(list):=Lineplot(list,[]);
+
+Plotdata(name1,func,variable):=Plotdata(name1,func,variable,[]);
+Plotdata(name1,func,variable,options):=(
+//help:Plotdata("1","sin(x)","x",["Num=100"]);
+//help:Plotdata("2","x^2","x=[-1,1]");
+//help:Plotdata("3","Fout(x)","x",["out"]);
+  regional(Fn,Va,tmp,tmp1,tmp2,eqL,name,Vname,x1,x2,dx,
+         PdL,QdL,Num,Ec,Dc,Fun,Exfun,x,Ke,Eps,Pa,
+         Ltype,Noflg,Inflg,Outflg,opstr,opcindy);
+  name="gr"+name1;
+  tmp=Divoptions(options);
+  Ltype=tmp_1;
+  Noflg=tmp_2;
+  Inflg=tmp_3;
+  Outflg=tmp_4;
+  opstr=tmp_(length(tmp)-1);
+  opcindy=tmp_(length(tmp));
+  eqL=tmp_5;
+  Num=50;
+  Ec=[];
+  Exfun="";
+  Dc=1000;
+  forall(eqL,
+    tmp=indexof(#,"=");
+    tmp1=substring(#,tmp,length(#));
+    opstr=opstr+",'"+#+"'";
+    if(substring(#,0,1)=="N",
+      Num=parse(tmp1);
+    );
+    if(substring(#,0,1)=="E",
+      if(substring(tmp1,0,1)=="[",
+        Ec=parse(tmp1);
+      ,
+        Exfun=tmp1;
+      );
+    );
+    if(substring(#,0,1)=="D",
+      Dc=parse(tmp1);
+    );
+  );
+  if(Inflg==0 & Outflg==0,
+    Eps=10^(-3);
+    tmp=replace(func,LFmark,"");
+    tmp=tokenize(variable,"=");
+    Vname=tmp_1;
+    if(length(tmp)>1,
+      tmp=tmp_2;
+      tmp=parse(tmp);
+      x1=tmp_1;
+      x2=tmp_2;
+      ,
+      x1=XMIN;
+      x2=XMAX;
+    );
+  //  dx=(x2-x2)/Num;  
+    Ec=append(sort(Ec),10000);
+    Fun=Assign(func,Vname, "xx");
+    Exfun=Assign(Exfun,Vname, "xx");
+    PdL=[];
+    Ke=1;
+    forall(0..Num, 
+      xx=x1+#*(x2-x1)/Num; // differs from Scilab ( / Num-1)
+      if(length(Exfun)>0,
+        tmp=parse(Exfun);
+        if(abs(tmp)<Eps,
+          if(length(Pdt)>0,
+            PdL=concat(PdL,["inf"]);
+          );
+        );
+      ,
+        Pa=[];
+        if(xx-Ec_Ke<-Eps,
+          Pa=[xx,parse(Fun)];
+        );
+        if(abs(xx-Ec_Ke)<=Eps,
+          if(length(PdL)>0,
+            if(PdL_(length(PdL))_1!="inf",
+              Pa=["inf"];
+            );
+          );
+        );
+        if(xx-Ec_Ke>Eps,
+          Pa=[xx,parse(Fun)];
+          Ke=Ke+1;
+        );
+        if(length(Pa)>0,
+          if(Pa_1=="inf",
+            PdL=concat(PdL,[Pa]);
+          ,
+            if(length(PdL)==0,
+              PdL=[Pa];
+            ,
+              tmp=PdL_(length(PdL));
+              if(tmp_1=="inf",
+                PdL=concat(PdL,[Pa]);
+              ,
+                if(dist(tmp,Pa)<Dc,
+                  PdL=concat(PdL,[Pa]);
+                ,
+                  PdL=concat(PdL,[["inf"],Pa]);
+                );
+              );
+            );
+          );
+        );
+      );
+    );
+    tmp1=[];
+    tmp2=select(1..length(PdL),PdL_#==["inf"]);
+    tmp=1;
+    forall(tmp2,
+      if(#>tmp,
+        tmp1=concat(tmp1,[PdL_(tmp..(#-1))])
+      );
+      tmp=#+1;
+    );
+    if(tmp<length(PdL),
+      tmp1=concat(tmp1,[PdL_(tmp..length(PdL))]);
+    );
+    PdL=tmp1;
+    if(length(PdL)==1,
+      PdL=PdL_1;
+    );
+    if(Noflg<3,
+      println("generate Plotdata "+name);
+      if(MeasureDepth(PdL)==1,
+        tmp1=apply(PdL,Pcrd(#));
+      ,
+        tmp1=[];
+        forall(PdL,tmp2,
+          tmp1=append(tmp1,apply(tmp2,Pcrd(#)));
+        );
+      );
+      tmp=name+"="+textformat(tmp1,5);
+      parse(tmp);
+      tmp1=replace(func,LFmark,"");
+      tmp2=replace(variable,LFmark,"");
+      tmp=name+"=Plotdata('"+tmp1+"','"+tmp2+"'"+opstr+")";
+      GLIST=append(GLIST,tmp);
+    );
+    if(Noflg<2,
+      if(isstring(Ltype),
+        Ltype=GetLinestyle(text(Noflg)+Ltype,name);
+      ,
+        if(Noflg==1,Ltype=0);
+      );
+      GCLIST=append(GCLIST,[name,Ltype,opcindy]);
+    );
+    PdL;
+  , 
+                              //  Inflg or Outflg >0  15.05.15
+    if(Noflg<3,
+      if(Outflg==1,
+        println("Output Plotdata "+name);
+        tmp=name+"=Plotdata('"+func+"','"+variable+"'"+opstr+")";
+        GLIST=append(GLIST,tmp);
+        SCIWRLIST=append(SCIWRLIST,name);
+        if(Inflg==0,Inflg=1);  // 15.05.17
+      );
+      if(Inflg==1,
+        println("Input Plotdata "+name);
+        if(length(SCIRELIST)==0,
+          ReadOutData(Fnameout);
+        );
+        tmp=parse(name);
+        if(islist(tmp),
+          Extractdata(name,["nodisp"]);  // 12.19
+        );
+        tmp="// "+name+"=Plotdata('"+func+"','"+variable+"'"+opstr+")";
+        Com1st(tmp);
+        SCIRELIST=append(SCIRELIST,name);
+      );
+    );
+    if(Noflg<2,
+      if(isstring(Ltype),
+        Ltype=GetLinestyle(text(Noflg)+Ltype,name);
+      ,
+        if(Noflg==1,Ltype=0);
+      );
+      if(Inflg==1,
+        GCLIST=append(GCLIST,[name,Ltype,opcindy]);
+      );
+    );
+  );
+);
+
+Paramplot(name1,funstr,variable):=Paramplot(name1,funstr,variable,[]);
+Paramplot(name1,funstr,variable,options):=(
+//help:Paramplot("1","[2*cos(t),sin(t)]","t=[0,2*pi]");
+  regional(name,Out,tmp,tmp1,tmp2,vname,func,str,Rng,Num,
+        Ec,Exfun,Dc,eqL,Fntmp,Vatmp,t1,t2,dt,tt,pa,ke,
+        Ltype,Noflg,Inflg,Outflg,opstr,opcindy);
+  name="gp"+name1; 
+  Eps=10^(-4);
+  tmp=Divoptions(options);
+  Ltype=tmp_1;
+  Noflg=tmp_2;
+  Inflg=tmp_3;
+  Outflg=tmp_4;
+  opstr=tmp_(length(tmp)-1);
+  opcindy=tmp_(length(tmp));
+  eqL=tmp_5;
+  Num=50;
+  Ec=[];
+  Exfun="";
+  Dc=1000;
+  forall(eqL,
+    tmp=indexof(#,"=");
+    tmp1=substring(#,tmp,length(#));
+    opstr=opstr+",'"+#+"'";
+    if(substring(#,0,1)=="N",
+      Num=parse(tmp1);
+    );
+    if(substring(#,0,1)=="E",
+      if(substring(tmp1,0,1)=="[",
+        Ec=parse(tmp1);
+      ,
+        Exfun=tmp1;
+      );
+    );
+    if(substring(#,0,1)=="D",
+      Dc=parse(tmp1);
+    );
+  );
+  if(Inflg==0 & Outflg==0,
+    tmp=indexof(variable,"=");
+    vname=substring(variable,0,tmp-1);
+    str=substring(variable,tmp,length(variable));
+    Rng=parse(str);
+    t1=Rng_1; t2=Rng_2;
+    dt=(t2-t1)/Num;// differs from Scilab ( / Num-1)
+    func=Assign(funstr,vname,"tt");
+    Out=[];
+    Ec=append(sort(Ec),10000);
+    ke=1;
+    forall(0..Num, 
+      pt=[];
+      tt=Rng_1+#*dt;
+      if(tt-Ec_ke<-Eps,
+        pa=parse(func);
+      );
+      if(abs(tt-Ec_ke)<=Eps,
+        if(length(Out)>0,
+          if(Out_(length(Out))_1!="inf",
+            pa=["inf"];
+          );
+        );
+      );
+      if(tt-Ec_ke>Eps,
+        pa=parse(func);
+        ke=ke+1;
+      );
+      if(length(pa)>0,
+        if(pa_1=="inf",
+          Out=append(Out,pa);
+        ,
+          if(length(Out)==0,
+            Out=[pa];
+          ,
+            tmp=Out_(length(Out));
+            if(tmp_1=="inf",
+              Out=append(Out,pa);
+            ,
+              if(|tmp-pa|<Dc,
+                Out=append(Out,pa);
+              ,
+                Out=concat(Out,[["inf"],pa]);
+              );
+            );
+          );
+        );
+      );
+    );
+    tmp1=[];
+    tmp2=select(1..length(Out),Out_#==["inf"]);
+    tmp=1;
+    forall(tmp2,
+      if(#>tmp,
+        tmp1=concat(tmp1,[Out_(tmp..(#-1))])
+      );
+      tmp=#+1;
+    );
+    if(tmp<length(Out),
+      tmp1=concat(tmp1,[Out_(tmp..length(Out))]);
+    );
+    Out=tmp1;
+    if(length(Out)==1,
+      Out=Out_1;
+    );
+    if(Noflg<3,
+      println("generate Paramplot "+name);
+      if(MeasureDepth(Out)==1,
+        tmp1=apply(Out,Pcrd(#));
+      ,
+        tmp1=[];
+        forall(Out,tmp2,
+          tmp1=append(tmp1,apply(tmp2,Pcrd(#)));
+        );
+      );
+      tmp=name+"="+textformat(tmp1,5);
+      parse(tmp);
+      tmp1=replace(funstr,LFmark,"");  // 15.11.13
+      tmp2=replace(variable,LFmark,"");
+      tmp=name+"=Paramplot('"+tmp1+"','"+tmp2+"'"+opstr+")";
+      GLIST=append(GLIST,tmp);
+    );
+    if(Noflg<2,
+      if(isstring(Ltype),
+        Ltype=GetLinestyle(text(Noflg)+Ltype,name);
+      ,
+        if(Noflg==1,Ltype=0);
+      );
+      GCLIST=append(GCLIST,[name,Ltype,opcindy]);
+    );
+    Out;
+  , 
+                              //  Inflg or Outflg >0  15.05.15
+    if(Noflg<3,
+      if(Outflg==1,
+        println("Output Paramplot "+name);
+        tmp=name+"=Paramplot('"+funstr+"','"+variable+"'"+opstr+")";
+        GLIST=append(GLIST,tmp);
+        SCIWRLIST=append(SCIWRLIST,name);
+         if(Inflg==0,Inflg=1);  // 15.05.17
+      );
+      if(Inflg==1,
+        println("Input Paramplotdata "+name);
+        if(length(SCIRELIST)==0,
+          ReadOutData(Fnameout);
+        );
+        tmp=parse(name);
+        if(islist(tmp),
+          Extractdata(name,["nodisp"]);  // 12.19
+        );
+        tmp="// "+name+"=Paramplot('"+func+"','"+variable+"'"+opstr+")";
+        Com1st(tmp);
+        SCIRELIST=append(SCIRELIST,name);
+      );
+    );
+    if(Noflg<2,
+      if(isstring(Ltype),
+        Ltype=GetLinestyle(text(Noflg)+Ltype,name);
+      ,
+        if(Noflg==1,Ltype=0);
+      );
+      if(Inflg==1,
+        GCLIST=append(GCLIST,[name,Ltype,opcindy]);
+      );
+    );
+  );
+);
+
+Circledata(cenrad):=Circledata(cenrad,[]);
+Circledata(para1,para2):=(
+//help:Circledata([A,B],["Rng=[0,pi/2]"]);
+//help:Circledata([A,B,C]);
+  regional(name,cenrad,options,str,n); 
+  if(isstring(para1), 
+    name=para1;
+    cenrad=para2;
+    options=[];
+    ,
+    cenrad=para1;
+    options=para2;
+    name="";// 16.10.07from
+    forall(cenrad, 
+       name=name+#.name;
+    );// 16.10.07upto
+  );
+  Circledata(name,cenrad,options);
+);
+Circledata(nm,cenrad,options):=(
+  regional(name,Out,Ctr,Ptcir,ra,Num,Rg,opstr,opcindy,
+      tmp,tmp1,tmp1,Th,Ltype,Noflg,eqL,pA,pB,pC,d1,d2,Eps);  
+  name="cr"+nm;
+  tmp=Divoptions(options);
+  Ltype=tmp_1;
+  Noflg=tmp_2;
+  opstr=tmp_(length(tmp)-1);
+  opcindy=tmp_(length(tmp));
+  eqL=tmp_5;
+  Num=50;
+  Rg=[0,2*pi];
+  forall(eqL,
+    tmp=indexof(#,"=");
+    tmp1=substring(#,tmp,length(#));
+    opstr=opstr+",'"+#+"'";
+    if(substring(#,0,1)=="N",
+      Num=parse(tmp1);
+    );
+    if(substring(#,0,1)=="R",
+      Rg=parse(tmp1);
+    );
+  );
+  if(length(cenrad)==2,
+    Ctr=Lcrd(cenrad_1);
+    Ptcir=Lcrd(cenrad_2);
+    ra=dist(Ctr,Ptcir);
+  ,
+    Eps=10^(-1);
+    pA=Lcrd(cenrad_1);
+    pB=Lcrd(cenrad_2);
+    pC=Lcrd(cenrad_3);
+    tmp=pB-pA;
+    tmp1=(tmp_2,-tmp_1);
+    tmp=pC-pB;
+    tmp2=(tmp_2,-tmp_1);
+    d1=det([tmp1,tmp2]);
+    d2=det([pC-pA,tmp2]);
+    if(abs(d1)<Eps & abs(d2)>10*Eps,
+      println("points are in a line");
+      ra=0;
+    ,
+      Ctr=1/2*(pA+pB)+1/2*d2/d1*tmp1;
+      ra=|pA-Ctr|;
+      tmp=name+"center="+Ctr;
+      parse(tmp);
+      Defvar(name+"center",Ctr);
+    );
+  );
+  if(ra>0,
+    Out=[];
+    forall(0..Num,
+      Th=Rg_1+#*(Rg_2-Rg_1)/Num;
+      Out=append(Out,Ctr+ra*[cos(Th),sin(Th)]);
+    );
+  ,
+    Out=Lineplot("1",[pA,pB],["nodata"]);
+  );
+  if(Noflg<3,
+    println("generate Circledata "+name);
+    tmp1=apply(Out,Pcrd(#));
+    tmp=name+"="+textformat(tmp1,5);
+    parse(tmp);
+    if(length(cenrad)==2,
+      tmp=name+"=Circledata("+cenrad+opstr+")";
+    ,
+      if(ra>0,
+        tmp=name+"=Circledata(["+Ctr+","+cenrad_1+"]"+opstr+")";
+      ,
+        tmp=name+"=Lineplot("+cenrad_1+","+cenrad_2+")";
+      );
+    );
+    GLIST=append(GLIST,tmp);
+  );
+  if(Noflg<2,
+    if(isstring(Ltype),
+      Ltype=GetLinestyle(text(Noflg)+Ltype,name);
+    ,
+      if(Noflg==1,Ltype=0);
+    );
+    GCLIST=append(GCLIST,[name,Ltype,opcindy]);
+  );
+  Out;
+);
+
+Framedata():=(
+  regional(pA,pB);
+  pA=LLcrd((SW+NE)/2); // 15.09.17
+  pB=LLcrd(NE);
+  Framedata("win",[pA,pB]);
+);
+Framedata(list):=Framedata(list,[]);
+Framedata(Arg1,Arg2):=(
+  regional(name,list,options,str);
+  if(isstring(Arg1),
+    name=Arg1;
+    list=Arg2;
+    Framedata(name,list,[]);
+  ,
+    list=Arg1;
+    options=Arg2;
+    name="";// 16.10.07from
+    forall(list, 
+       name=name+#.name;
+    );// 16.10.07upto
+    Framedata(name,list,options);
+  );
+);
+
+Framedata(nm,list,options):=(
+//help:Framedata();
+//help:Framedata([A,B]);
+//help:Framedata("1",[A,B]);
+//help:Framedata("1",[C,dx,dy]);
+  regional(name,Out,tmp,tmp1,pB,x1,x2,y1,y2,dx,dy,
+      opcindy,Ltype,Noflg,cent,dx,dy);
+  name="fr"+nm;
+  tmp=Divoptions(options);
+  Ltype=tmp_1;
+  Noflg=tmp_2;
+  opcindy=tmp_(length(tmp));
+  if(length(list)==2,  // 15.05.12
+    pA=Lcrd(list_1); pB=Lcrd(list_2);
+    dx=abs(pB_1-pA_1); dy=abs(pB_2-pA_2);
+  ,
+    pA=Lcrd(list_1);
+    dx=list_2; dy=list_3;
+  );
+  x1=pA_1-dx; x2=pA_1+dx;
+  y1=pA_2-dy; y2=pA_2+dy;
+  Out=[[x1,y1],[x2,y1],[x2,y2],[x1,y2],[x1,y1]];
+  if(Noflg<3,
+    println("generate Framedata "+name);
+    tmp1=apply(Out,Pcrd(#));
+    tmp=name+"="+textformat(tmp1,5);
+    parse(tmp);
+    GLIST=append(GLIST,name+"=Framedata("+pA+","+dx+","+dy+")");
+  );
+  if(Noflg<2,
+    if(isstring(Ltype),
+      Ltype=GetLinestyle(text(Noflg)+Ltype,name);
+    ,
+      if(Noflg==1,Ltype=0);
+    );
+    GCLIST=append(GCLIST,[name,Ltype,opcindy]);
+  );
+  Out;
+);
+Framedata(nm,cent,dx,dy):=Framedata(nm,cent,dx,dy,[]);
+Framedata(nm,cent,dx,dy,options):=(
+  regional(name,Out,tmp,tmp1,x1,y1,x2,y2,Ltype,opcindy,Noflg);
+  name="fr"+nm;
+  tmp=Divoptions(options);
+  Ltype=tmp_1;
+  Noflg=tmp_2;
+  opcindy=tmp_(length(tmp));
+  x1=cent.x-dx; x2=cent.x+dx;
+  y1=cent.y-dy; y2=cent.y+dy;
+  Out=[[x1,y1],[x2,y1],[x2,y2],[x1,y2],[x1,y1]];
+  if(Noflg<3,
+    println("generate Framedata "+name);
+    tmp1=apply(Out,Pcrd(#));
+    tmp=name+"="+textformat(tmp1,5);
+    parse(tmp);
+    GLIST=append(GLIST,name+"=Framedata("+cent.xy+","+dx+","+dy+")");
+  );
+  if(Noflg<2,
+    if(isstring(Ltype),
+      Ltype=GetLinestyle(text(Noflg)+Ltype,name);
+    ,
+      if(Noflg==1,Ltype=0);
+    );
+    GCLIST=append(GCLIST,[name,Ltype,opcindy]);
+  );
+  Out;
+);
+
+Framedata2(nm,list):=Framedata2(nm,list,[]);
+Framedata2(nm,list,options):=(
+//help:Framedata2("1",[A,B]);
+  regional(tmp,tmp1,pC,pB);
+  pC=(Lcrd(list_1)+Lcrd(list_2))/2;
+  pB=Lcrd(list_2);
+  Framedata(nm,[pC,pB],options);
+);
+
+Ovaldata(nm,Pdata):=Ovaldata(nm,Pdata,[]);
+Ovaldata(nm,Pdata,options):=(
+//help:Ovaldata("1",[A,B]);
+//help:Ovaldata(optios=[size]);
+  regional(name,Graph,Ctr,Dx,Dy,Rc,Out,Point,Graph,
+      opstr,opcindy,tmp,tmp1,tmp2,tmp3,Ltype,Noflg);  
+  name="ov"+nm;
+  tmp=Divoptions(options);
+  Ltype=tmp_1;
+  Noflg=tmp_2;
+  opcindy=tmp_(length(tmp));
+  opstr=tmp_(length(tmp)-1);
+  Rc=0.2;
+  tmp1=tmp_6;
+  if(length(tmp1)>0,Rc=tmp1_1*Rc);
+//  if(length(tmp1)>0,Rc=tmp1_1);  //15.11.15
+  Ctr=Lcrd(Pdata_1);
+  if(ispoint(Pdata_2) % islist(Pdata_2),
+    tmp1=Lcrd(Pdata_2);
+    Dx=abs(tmp1_1-Ctr_1);
+    Dy=abs(tmp1_2-Ctr_2);
+  ,
+    Dx=Pdata_2;
+    Dy=Pdata_3;
+  );
+  Point=Ctr+[Dx-Rc,Dy-Rc];
+  tmp1=Circledata("1",[Point,Point+[Rc,0]],
+     ["Rng=[0,pi/2]","Num=10","nodata"]);
+  tmp2=Listplot("1",[Ctr+[Dx-Rc,Dy],Ctr+[0,Dy]],
+     ["nodata"]);
+  tmp3=Listplot("2",[Ctr+[Dx,0],Ctr+[Dx,Dy-Rc]],
+     ["nodata"]);
+  Graph=Joincrvs("1",[tmp3,tmp1,tmp2],["nodata"]);
+  tmp1=Reflectdata("1",[Graph],[Ctr,Ctr+[0,1]],["nodata"]);
+  Graph=Joincrvs("1",[Graph,tmp1],["nodata"]);
+  tmp2=Reflectdata("2",[Graph],[Ctr,Ctr+[1,0]],
+     ["nodata"]);
+  Graph=Joincrvs("2",[Graph,tmp2],["nodata"]);
+  if(Noflg<3,
+    println("generate Ovaldata "+name);
+    tmp1=apply(Graph,Pcrd(#));
+    tmp=name+"="+textformat(tmp1,5);
+    parse(tmp);
+    GLIST=append(GLIST,
+	  name+"=Ovaldata("+Ctr+","+Dx+","+Dy+opstr+")");//16.01.30
+  );
+  if(Noflg<2,
+    if(isstring(Ltype),
+      Ltype=GetLinestyle(text(Noflg)+Ltype,name);
+    ,
+      if(Noflg==1,Ltype=0);
+    );
+    GCLIST=append(GCLIST,[name,Ltype,opcindy]);
+    tmp1=apply(Graph,Pcrd(#));
+    tmp=name+"="+textformat(tmp1,5);
+    parse(tmp);
+    tmp=textformat(Ctr,5)+","+textformat(Dx,5)+","+textformat(Dy,5);
+    GLIST=append(GLIST,
+      name+"=Ovaldata("+tmp+opstr+")");
+  );
+  Graph;
+);
+
+Segmark(nm,ptlist):=Segmark(nm,ptlist,[]);
+Segmark(nm,ptlist,options):=Drawsegmark(nm,ptlist,options);
+Drawsegmark(nm,ptlist):=Drawsegmark(nm,ptlist,[]);
+Drawsegmark(nm,ptlist,options):=(
+//help:Segmark("1",[A,B]);
+//help:Segmark(options=["Type=1","Width=1","Size=1"]);
+  regional(name,pA,pB,wid,mid,size,tp,dir,nor,eqL,
+      tmp,tmp1,tmp2);
+  name="mrk"+nm;
+  pA=ptlist_1;
+  pB=ptlist_2;
+  size=0.15;
+  wid=0.05;
+  tp=1;
+  tmp1=Divoptions(options);
+  eqL=tmp1_5;
+  forall(eqL,
+    tmp=indexof(#,"=");
+    tmp1=substring(#,tmp,length(#));
+    tmp1=parse(tmp1);
+    tmp=substring(#,0,1);
+    if(tmp=="S" % tmp=="s",
+      size=size*tmp1;
+    );
+    if(tmp=="W" % tmp=="w",
+      wid=wid*tmp1;
+    );
+    if(tmp=="T" % tmp=="t",
+      tp=tmp1;
+    );
+  );
+  mid=(pA+pB)/2;
+  dir=(pB-pA)/|pB-pA|;
+  nor=[-dir_2,dir_1];
+//  nor=nor/|nor|;
+  if(tp==1,
+    tmp1=mid+size*nor;
+    tmp2=mid-size*nor;
+    Listplot(name,[tmp1,tmp2]);
+  );
+  if(tp==2,
+    tmp1=mid+wid*dir+size*nor;
+    tmp2=mid+wid*dir-size*nor;
+    Listplot(name+"r",[tmp1,tmp2]);
+    tmp1=mid-wid*dir+size*nor;
+    tmp2=mid-wid*dir-size*nor;
+    Listplot(name+"l",[tmp1,tmp2]);
+  );
+  if(tp==3,
+    tmp1=mid;
+    tmp2=mid+size*dir;
+    Circledata(name,[tmp1,tmp2]);
+  );
+  if(tp==4,
+    tmp=mid+size*2/sqrt(3)*nor;
+    tmp1=mid+size*dir-size/sqrt(3)*nor;
+    tmp2=mid-size*dir-size/sqrt(3)*nor;
+    Listplot(name,[tmp,tmp1,tmp2,tmp]);
+  );
+);
+
+Parabolaplot(nm,ptlist):=Parabolaplot(nm,ptlist,"[-5,5]",[]);
+Parabolaplot(nm,ptlist,Arg):=(
+  regional(rng,options);
+  if(isstring(Arg),
+    rng=Arg;
+    options=[];
+  ,
+    rng="[-5,5]";
+    options=Arg;
+  );
+  Parabolaplot(nm,ptlist,rng,options);
+);
+Parabolaplot(nm,ptlist,rng,options):=(
+//help:Parabolaplot("1",[A,B,C]):
+//help:Parabolaplot("1",[A,B,C],"[-5,5]");
+  regional(pA,pB,pC,angle,tmp,tmp1,tmp2);
+  tmp1=Lcrd(ptlist_1);
+  tmp2=Lcrd(ptlist_3);
+  pB=Lcrd(ptlist_2);
+  tmp=(tmp2-pB)/|tmp2-pB|;
+  if(tmp_2>=0,
+    angle=arccos(tmp_1);
+  ,
+    if(tmp_1>=0,
+      angle=arcsin(tmp_2);
+    ,
+      angle=-arccos(tmp_1);
+    );
+  );
+  pA=Rotatepoint(tmp1,-angle,pB);
+  pC=Rotatepoint(tmp2,-angle,pB);
+  tmp1=1/(2*(pA_2-pB_2));
+  tmp2=1/2*(pA_2+pB_2);
+  tmp="("+format(tmp1,5)+")*(x-("+format(pA_1,5)+"))^2";
+  tmp=tmp+"+("+format(tmp2,5)+")";
+  tmp1=parse(rng);
+  tmp1=[pA_1-(tmp1_2-tmp1_1)/2,pA_1+(tmp1_2-tmp1_1)/2];
+  tmp2="x="+textformat(tmp1,5);
+  Plotdata(nm+"para",tmp,tmp2,append(options,"nodisp"));
+  Rotatedata(nm+"para","gr"+nm+"para",angle,append(options,pB));
+);
+
+Ellipseplot(nm,ptlist):=Ellipseplot(nm,ptlist,"[0,2*pi]",[]);
+Ellipseplot(nm,ptlist,Arg):=(
+  regional(rng,options);
+  if(isstring(Arg),
+    rng=Arg;
+    options=[];
+  ,
+    rng="[0,2*pi]";
+    options=Arg;
+  );
+  Ellipseplot(nm,ptlist,rng,options);
+);
+Ellipseplot(nm,ptlist,rng,options):=(
+//help:Ellipseplot("1",[A,B,3]);
+//help:Ellipseplot("1",[A,B,C],"[0,pi]",[options]);
+  regional(pA,pB,d,angle,f,a,b,pM,tmp,tmp1,tmp2);
+  pA=Lcrd(ptlist_1);
+  tmp1=Lcrd(ptlist_2);
+  if(ispoint(ptlist_3),
+    tmp2=Lcrd(ptlist_3);
+    d=|tmp2-pA|+|tmp2-tmp1|;
+  ,
+    d=ptlist_3;
+  );
+  tmp=(tmp1-pA)/|tmp1-pA|;
+  if(tmp_2>=0,
+    angle=arccos(tmp_1);
+  ,
+    if(tmp_1>=0,
+      angle=arcsin(tmp_2);
+    ,
+      angle=-arccos(tmp_1);
+    );
+  );
+  pB=Rotatepoint(tmp1,-angle,pA);
+  f=|pB_1-pA_1|/2;
+  a=d/2;
+  b=sqrt(d^2/4-f^2);
+  pM=(pA+pB)/2;
+  tmp="["+format(pM_1,5)+","+format(pM_2,5)+"]";
+  tmp=tmp+"+["+format(a,5)+"*cos(t),"+format(b,5)+"*sin(t)]";
+  Paramplot(nm+"elp",tmp,"t="+rng,append(options,"nodisp"));
+  Rotatedata(nm+"elp","gp"+nm+"elp",angle,append(options,pA));
+);
+
+Hyperbolaplot(nm,ptlist):=Hyperbolaplot(nm,ptlist,"[-5/2,5/2]",[]);
+Hyperbolaplot(nm,ptlist,Arg):=(
+  regional(rng,options);
+  if(isstring(Arg),
+    rng=Arg;
+    options=[];
+  ,
+    rng="[-5/2,5/2]";
+    options=Arg;
+  );
+  Hyperbolaplot(nm,ptlist,rng,options);
+);
+Hyperbolaplot(nm,ptlist,rng,optionsorg):=(
+//help:Hyperbolaplot("1",[A,B,C],["Num=200"]):
+//help:Hyperbolaplot("1",[A,B,C],"[-5,5]",["Asy=do"]);
+  regional(pA,pB,d,angle,f,a,b,pM,eqL,options,opasy,tmp,tmp1,tmp2);
+  tmp=Divoptions(optionsorg);
+  eqL=tmp_5;
+  options=optionsorg;
+  opasy=[];
+  forall(eqL,
+    if(Toupper(substring(#,0,1))=="A",
+      tmp=indexof(#,"=");
+      opasy=[substring(#,tmp,length(#))];
+      options=remove(options,[#]);
+    );
+  );
+  pA=Lcrd(ptlist_1);
+  tmp1=Lcrd(ptlist_2);
+  if(ispoint(ptlist_3),
+    tmp2=Lcrd(ptlist_3);
+    d=abs(|tmp2-pA|-|tmp2-tmp1|);
+  ,
+    d=ptlist_3;
+  );
+  tmp=(tmp1-pA)/|tmp1-pA|;
+  if(tmp_2>=0,
+    angle=arccos(tmp_1);
+  ,
+    if(tmp_1>=0,
+      angle=arcsin(tmp_2);
+    ,
+      angle=-arccos(tmp_1);
+    );
+  );
+  pB=Rotatepoint(tmp1,-angle,pA);
+  f=|pB_1-pA_1|/2;
+  a=d/2;
+  b=sqrt(f^2-d^2/4);
+  pM=(pA+pB)/2;
+  tmp="["+format(pM_1,5)+"+"+format(a,5)+"*(exp(t)+exp(-t))/2,";
+  tmp=tmp+format(pM_2,5)+"+"+format(b,5)+"*(exp(t)-exp(-t))/2]";
+  Paramplot(nm+"hyp1",tmp,"t="+rng,append(options,"nodisp"));
+  tmp="["+format(pM_1,5)+"-"+format(a,5)+"*(exp(t)+exp(-t))/2,";
+  tmp=tmp+format(pM_2,5)+"+"+format(b,5)+"*(exp(t)-exp(-t))/2]";
+  Paramplot(nm+"hyp2",tmp,"t="+rng,append(options,"nodisp"));
+  tmp=["gp"+nm+"hyp1","gp"+nm+"hyp2"];
+  Rotatedata(nm+"hyp",tmp,angle,append(options,pA));
+  if(length(opasy)>0,
+    Lineplot(nm+"asy1",[pM+[a,b],pM+[-a,-b]],["nodisp"]);
+    Lineplot(nm+"asy2",[pM+[-a,b],pM+[a,-b]],["nodisp"]);
+    tmp=["ln"+nm+"asy1","ln"+nm+"asy2"];
+    Rotatedata(nm+"asy",tmp,angle,append(opasy,pA));
+  );
+);
+
+Polygonplot(nm,ptlist,number):=Polygonplot(nm,ptlist,number,[]);
+Polygonplot(nm,ptlist,number,options):=(
+//help:Polygonplot("1",[A,B],12);
+  regional(rr,pA,pB,ptL,angle,tmp,tmp1,tmp2);
+  pA=Lcrd(ptlist_1);
+  pB=Lcrd(ptlist_2);
+  rr=|pB-pA|;
+  tmp=(pB-pA)/rr;
+  if(tmp_2>=0,
+    angle=arccos(tmp_1);
+  ,
+    if(tmp_1>=0,
+      angle=arcsin(tmp_2);
+    ,
+      angle=-arccos(tmp_1);
+    );
+  );
+  ptL=[];
+  forall(0..number,
+    tmp=angle+#*2*pi/number;
+    tmp1=pA+rr*[cos(tmp),sin(tmp)];
+    if(#>0 & #<number,
+     Putpoint((ptlist_2).name+text(#),tmp1);//16.10.07
+     //Pointdata(nm,ptL);
+    );
+    tmp2=tmp1;
+    ptL=append(ptL,tmp1);
+  );
+  Listplot(nm+"ply",ptL,options);
+);
+
+Putintersect(nm,pdata1,pdata2):=(
+//help:Putintersect("Q","gr1","gr2");
+  regional(pd1,pd2,tmp);
+  if(isstring(pdata1),pd1=parse(pdata1),pd1=pdata1);
+  if(isstring(pdata2),pd2=parse(pdata2),pd2=pdata2);
+  tmp=Intersectcrvs(pd1,pd2);
+  if(length(tmp)==1,
+    Putpoint(nm,tmp_1);
+  ,
+    if(length(tmp)==0,
+      err("No intersect point");
+    ,
+      err("Multiple intersect points");
+      println(tmp);
+      err("Choose point number");
+    );
+  );
+);
+Putintersect(nm,pdata1,pdata2,ptno):=(
+  regional(pd1,pd2,tmp);
+  if(isstring(pdata1),pd1=parse(pdata1),pd1=pdata1);
+  if(isstring(pdata2),pd2=parse(pdata2),pd2=pdata2);
+  tmp=Intersectcrvs(pd1,pd2);
+  if(length(tmp)>0,
+    Putpoint(nm,tmp_ptno);
+  ,
+    err("No intersect point");
+  );
+);
+
+Arrowheaddata(point,direction):=Arrowheaddata(point,direction,[]);
+Arrowheaddata(point,direction,options):=(
+//help:Arrowheaddata(A,B);
+  regional(list,Ookisa,Hiraki,Futosa,Houkou,Str,Flg,tmp,Ev,Nv,pA,pB,
+       pP,rF,gG,Flg,Nj,Eps,tmp1,scx,scy);
+  Eps=10^(-3);
+  pP=point;
+  Ookisa=0.2*YaSize;
+  Hiraki=YaAngle;
+  Futosa=0;
+  Str=YaStyle;
+  tmp=Divoptions(options);
+  tmp1=tmp_6;
+  if(length(tmp1)>0,Ookisa=Ookisa*tmp1_1);
+  if(length(tmp1)>1,
+    tmp=tmp1_2;
+    if(tmp<5, 
+      Hiraki=Hiraki*tmp;
+    ,
+      Hiraki=tmp;
+    );
+  );
+  Flg=0;
+  Hiraki=Hiraki*pi/180;
+  if(isstring(direction),Houkou=parse(direction),Houkou=direction);
+  if(MeasureDepth(Houkou)==2,Houkou=Houkou_1);
+  if(islist(Houkou_1),
+//    pP=Lcrd(pP);
+//    pP=Doscaling(pP);
+//    Houkou=Dosscaling(Houkou);
+    pP=Pcrd(pP);
+	scy=SCALEY;
+    SCALEY=1;
+    tmp=Nearestpt(pP,Houkou);
+    pA=tmp_1;
+    rF=floor(tmp_2);
+    if(rF==1,
+      if(|Ptend(Houkou)-Ptstart(Houkou)|<Eps,
+        rF=Numptcrv(Houkou);
+      );
+    );
+    gG=apply(0..10,pP+Ookisa*cos(Hiraki)*[cos(2*pi/10*#),sin(2*pi/10*#)]);
+	Flg=0; 
+    forall(1..rF,Nj,
+      if(Flg==0,
+        pB=Ptcrv(rF+1-Nj,Houkou);
+        tmp=IntersectcrvsPp([pA,pB],gG);
+        if(length(tmp)>0,
+          Houkou=pP-tmp_1_1;
+          Flg=1;
+        );
+        pA=pB;
+      );
+    );
+	SCALEY=scy;
+    if(Flg==0,
+      println("Arrowhead may be too large (no intersect)");
+      Flg=2;
+    );
+    if(Flg==1,
+      Houkou=Unscaling(Houkou);
+      pP=Unscaling(pP);
+    );
+  );
+  if(Flg<2,
+//    pP=Doscaling(pP);
+//    Houkou=Doscaling(Houkou);
+    pP=Pcrd(pP);
+    if(!ispoint(point),
+      Houkou=Pcrd(Houkou);
+    );
+//    if(MeasureDepth(Houkou)==0,Houkou=Pcrd(Houkou));
+    Ev=-1/|Houkou|*Houkou;
+    Ev=Lcrd(Ev);
+    Nv=[-Ev_2, Ev_1];
+    if(indexof(Str,"c")>0,
+      pP=pP-0.5*Ookisa*cos(Hiraki)*Ev;
+    );
+    if(indexof(Str,"b")>0,
+      pP=pP-Ookisa*cos(Hiraki)*Ev;
+    );
+    pA=pP+Ookisa*cos(Hiraki)*Ev+Ookisa*sin(Hiraki)*Nv;
+    pB=pP+Ookisa*cos(Hiraki)*Ev-Ookisa*sin(Hiraki)*Nv;
+    list=[pA,pP,pB];
+    list=apply(list,LLcrd(#));
+//  Out=Unscaling(Out);
+    list;
+  );
+);
+
+Arrowhead(point,Houkou):=Arrowhead(point,Houkou,[]);
+Arrowhead(point,Houkou,options):=(
+//help:Arrowhead(B,B-A,[1.5,30]);
+//help:Arrowhead(A,"gr1");
+  // global ArrowheadNumber
+  regional(name,Ltype,Noflg,reL,opstr,opcindy,ptstr,hostr,tmp,tmp1,list);
+  name="arh"+text(ArrowheadNumber);
+  ArrowheadNumber=ArrowheadNumber+1;
+  ptstr=textformat(point,5);
+  if(isstring(Houkou),  // 15.01.11
+    tmp=parse(Houkou);
+    if(MeasureDepth(tmp)<2,
+      hostr=Houkou;
+    ,
+      hostr=Houkou+"(1)";
+    );
+  ,
+    if(ispoint(point),
+      hostr=textformat(LLcrd(Houkou),5);
+    ,
+      hostr=textformat(Houkou,5);
+    );
+  );
+  tmp=Divoptions(options);
+  Ltype=tmp_1;
+  Noflg=tmp_2;
+  reL=tmp_6;
+  opstr=tmp_(length(tmp)-1);
+  opcindy=tmp_(length(tmp));
+  list=Arrowheaddata(point,Houkou,options);
+  if(Noflg<3,
+//    println("generate Arrowhead "+name);
+    tmp1=apply(list,Pcrd(#));
+    tmp=name+"="+textformat(tmp1,5);
+    parse(tmp);
+//	  GLIST=append(GLIST,name+"=Listplot("+list+")");
+  );
+  if(Noflg<2,
+    if(isstring(Ltype),
+      Ltype=GetLinestyle(text(1)+Ltype,name);
+    ,
+//	  if(Noflg==1,Ltype=0);
+      Ltype=0;
+    );
+    GCLIST=append(GCLIST,[name,Ltype,opcindy]);
+  );
+  if(Noflg==0,
+    if(length(reL)<3,  // 16.04.09 from
+      forall(1..(2-length(reL)),
+        opstr=opstr+",1";
+      );
+      tmp=PenThick/PenThickInit;
+      opstr=opstr+","+text(tmp);
+    );  // 16.04.09 upto
+	Com2nd("Arrowhead("+ptstr+","+hostr+opstr+")");   
+  );
+);
+
+Arrowdata(ptlist):=Arrowdata(ptlist,[]);
+Arrowdata(Arg1,Arg2):=(
+  regional(tmp,nm,ptlist,flg,pA,pB,options);
+  flg=0;
+  if(isstring(Arg1),
+    nm=Arg1;
+    ptlist=Arg2;
+    Arrowdata(nm,ptlist,[]);
+    flg=1;
+  );
+  if(flg==0,
+    tmp=MeasureDepth(Arg1);
+    if(tmp==0,
+      pA=Arg1;
+      pB=Arg2;
+      Arrowdata(pA,pB,[]);
+    ,
+      ptlist=Arg1;
+      options=Arg2;
+      nm=text(ArrowlineNumber);
+      ArrowlineNumber=ArrowlineNumber+1;
+      Arrowdata(nm,ptlist,options);
+    );
+  );
+);
+Arrowdata(Arg1,Arg2,options):=(
+//help:Arrowdata([A,B],[2,10]);
+  regional(Retflg,nm,ptlist,name,opstr,opcindy,realL,strL,size,
+      flg,Ltype,Noflg,lineflg,tmp,tmp1,tmp2,pA,pB,segpos);
+  Retflg=0;
+  Noflg=0;
+  Ltype=0;
+  if(!isstring(Arg1),
+    pA=Arg1;
+    pB=Arg2;
+    Arrowdata(pA,pB,options,"old");
+    Retflg=1;
+    ptlist=[pA,pB];
+  );
+  if(Retflg==0,
+    nm=Arg1;
+    ptlist=Arg2;
+    name="ar"+nm;
+    tmp=Divoptions(options);
+    Ltype=tmp_1;
+    Noflg=tmp_2;
+    realL=tmp_6;
+    strL=tmp_7;
+    opstr=tmp_(length(tmp)-1);
+    opcindy=tmp_(length(tmp));
+    size=1;  // 15.06.11
+    if(length(realL)>0,
+      size=realL_1;
+    );
+    tmp2=select(strL,indexof(#,"l")>0); // 16.04.09
+    if(length(tmp2)>0,lineflg=1,lineflg=0); // 16.04.09
+    segpos=1;
+    tmp1=tmp_5;
+    if(length(tmp1)>2,
+      segpos=tmp1_3;
+    );
+    if(Noflg<3,
+//      println("generate Arrowdata "+name);
+      tmp1=apply(ptlist,Pcrd(#));
+      tmp=name+"="+textformat(tmp1,5);
+      parse(tmp);
+      tmp1=Pcrd(ptlist_1);//16.10.20
+      tmp2=Pcrd(ptlist_2);//16.10.20
+      if(lineflg==0, // 16.04.09 from
+        tmp=tmp2-0.2*size/2*(tmp2-tmp1)/|tmp2-tmp1|;   // 15.06.11
+      ,
+        tmp=tmp2;
+      );  // 16.04.09 upto
+      tmp=[LLcrd(tmp1),LLcrd(tmp)];//16.10.20
+      GLIST=append(GLIST,name+"=Listplot("+textformat(tmp,5)+")");
+    );
+    if(Noflg<2,
+      if(isstring(Ltype),
+        Ltype=GetLinestyle(text(Noflg)+Ltype,name);
+      ,
+        if(Noflg==1,Ltype=0);
+      );
+      tmp=textformat(ptlist,5);
+      tmp=substring(tmp,1,length(tmp)-1);
+      tmp1=indexof(tmp,"],[");
+      if(tmp1>0,
+        pA=substring(tmp,0,tmp1);
+        pB=substring(tmp,tmp1+1,length(tmp));
+      ,
+        tmp1=indexof(tmp,",");
+        pA=substring(tmp,0,tmp1-1);
+        pB=substring(tmp,tmp1,length(tmp));
+      );
+      tmp1="Lcrd("+pA+")+"
+	      +textformat(segpos,5)+"*(Lcrd("+pB+")-"+"Lcrd("+pA+"))";
+      tmp1=parse(tmp1);
+      tmp2="Lcrd("+pB+")-Lcrd("+pA+")";
+      tmp2=parse(tmp2);
+	  Arrowhead(tmp1,tmp2,options);
+      GCLIST=append(GCLIST,[name,Ltype,opcindy]);
+    );
+  );
+  ptlist;
+);
+Arrowdata(pA,pB,options,str):=(
+  regional(ptA,ptB,opstr,Astr,Bstr,name,tmp,opcindy);
+  Astr=textformat(pA,5);
+  Bstr=textformat(pB,5);  
+  name="ar"+pA.name+pB.name;
+  println("generate Arrow "+name);
+  opstr="";
+  opcindy="";
+  forall(options,
+    if(isstring(#),
+      if(indexof(#,"->")>0,
+        opcindy=opcindy+","+#;
+      ,
+        tmp="'"+#+"'";
+      );
+    ,
+      tmp=text(#);
+    );
+    opstr=opstr+","+tmp;
+  );
+  ptA=Lcrd(pA);
+  ptB=Lcrd(pB);
+  Arrowheaddata(ptB,ptB-ptA,options);
+  tmp="connect("+textformat([ptA,ptB],5)
+     +",linecolor->"+text(KCOLOR)+opcindy+");";
+  parse(tmp);  // 14.11.17
+  Com2nd("Arrowline("+Astr+","+Bstr+opstr+")"); // 14.10.04
+);
+
+Anglemark(plist):=Anglemark(plist,[]);
+Anglemark(Arg1,Arg2):=(           // 2015.04.28 from
+  regional(nm,plist,options,tmp);
+  if(isstring(Arg1),
+    nm=Arg1;
+    plist=Arg2;
+    Anglemark(nm,plist,[]);
+  ,
+    plist=Arg1;
+    options=Arg2;
+    tmp=textformat(plist,5);
+    tmp=replace(tmp,",","");
+    nm=substring(tmp,1,length(tmp)-1);
+    Anglemark(nm,plist,options);
+  );
+);                    // upto
+Anglemark(nm,plist,options):=(
+//help:Anglemark([A,B,C],["E=\theta",2]);
+//help:Anglemark("1",[A,B,C],["E=1.2,\theta",2]);
+//help:Anglemark(options=["E/L=(sep,)letter",size]);
+  regional(name,Out,pB,pA,pC,Ctr,ra,sab,sac,ratio,opstr,Bname,Bpos,
+       Brat,tmp,tmp1,tmp2,Num,opcindy,Ltype,eqL,realL,Rg,Th,Noflg);
+  name="ag"+nm;
+  ra=0.5;
+  tmp=Divoptions(options);
+  Ltype=tmp_1;
+  Noflg=tmp_2;
+  opstr=tmp_(length(tmp)-1);
+  opcindy=tmp_(length(tmp));
+  eqL=tmp_5;
+  realL=tmp_6;
+  Bname="";
+  Brat=1.5;
+  Num=20;
+  if(length(realL)>0,
+    ra=realL_1*ra;
+    opstr=opstr+","+text(realL_1);
+  );
+  forall(eqL,
+    if(substring(#,0,1)=="L",Bname="Letter(");
+    if(substring(#,0,1)=="E",Bname="Expr(");
+    Bpos="md"+name;
+    Bname=Bname+Bpos+","+Dq+"c"+Dq+","+Dq;//16.10.29
+    tmp=substring(#,indexof(#,"="),length(#));
+    tmp1=indexof(tmp,",");
+    Bname=Bname+substring(tmp,tmp1,length(tmp))+Dq+")";
+    if(tmp1>0,
+      Brat=parse(substring(tmp,0,tmp1-1));
+    );
+  );
+  pB=Lcrd(plist_1); pA=Lcrd(plist_2); pC=Lcrd(plist_3);
+  Ctr=Lcrd(pA);
+  sab=pB-pA;
+  sac=pC-pA;
+  Rg=[arctan2(sab)+0,arctan2(sac)+0];
+  if(Rg_2<Rg_1,Rg_2=Rg_2+2*pi);
+  Out=[];
+  forall(0..Num,
+    Th=Rg_1+#*(Rg_2-Rg_1)/Num;
+    Out=append(Out,Ctr+ra*[cos(Th),sin(Th)]);
+  );
+  if(length(Bname)>0,
+    Th=(Rg_1+Rg_2)/2;
+    tmp1=Ctr+Brat*ra*[cos(Th),sin(Th)];
+    tmp="Defvar("+Dq+Bpos+"=";
+    tmp=tmp+textformat(tmp1,5)+Dq+");";
+    parse(tmp);
+	parse(Bname);
+  );
+  if(Noflg<3,
+    println("generate anglemark "+name);
+    tmp1=apply(Out,Pcrd(#));
+    tmp=name+"="+textformat(tmp1,5);
+    parse(tmp);
+    tmp=textformat(plist,5);
+    tmp1=substring(tmp,1,length(tmp)-1);
+    tmp=name+"=Anglemark("+tmp1+opstr+")";
+    GLIST=append(GLIST,tmp);
+  );
+  if(Noflg<2,
+    if(isstring(Ltype),
+      Ltype=GetLinestyle(text(Noflg)+Ltype,name);
+    ,
+      if(Noflg==1,Ltype=0);
+    );
+    GCLIST=append(GCLIST,[name,Ltype,opcindy]);
+  );
+  Out;
+);
+
+Paramark(plist):=Paramark(plist,[]);
+Paramark(plist,options):=(
+//help:Paramark([A,B,C],["E=\theta"]);
+  regional(name,Out,pB,pA,pC,ra,sab,sac,ratio,opstr,Bname,Bpos,
+         Brat,tmp,tmp1,tmp2,Ltype,Noflg,eqL,realL,opcindy);
+  tmp=textformat(plist,5);
+  tmp=replace(tmp,",","");
+  tmp=substring(tmp,1,length(tmp)-1);
+  name="pm"+tmp;
+  tmp=Divoptions(options);
+  Ltype=tmp_1;
+  Noflg=tmp_2;
+  opstr=tmp_(length(tmp)-1);
+  opcindy=tmp_(length(tmp));
+  eqL=tmp_5;
+  realL=tmp_6;
+  ra=0.5;
+  Bname="";
+  Brat=1.2;
+  if(length(realL)>0,
+    tmp=realL_1;
+    ra=tmp*ra;
+    opstr=opstr+","+text(tmp);
+  );
+  forall(eqL,
+    if(substring(#,0,1)=="L",Bname="Letter(");
+    if(substring(#,0,1)=="E",Bname="Expr(");
+    Bpos="md"+name;
+    Bname=Bname+Dq+Bpos+Dq+","+Dq+"c"+Dq+","+Dq;
+    tmp=substring(#,indexof(#,"="),length(#));
+    tmp1=indexof(tmp,",");
+    Bname=Bname+substring(tmp,tmp1,length(tmp))+Dq+")";
+    if(tmp1>0,
+      Brat=parse(substring(tmp,0,tmp1-1));
+    );
+  );
+  pB=Lcrd(plist_1); pA=Lcrd(plist_2); pC=Lcrd(plist_3);
+  Ctr=Lcrd(pA);
+  Out=[];
+  Out=append(Out,pA+ra*(pB-pA)/|pB-pA|);
+  Out=append(Out,pA+ra*(pB-pA)/|pB-pA|+ra*(pC-pA)/|pC-pA|);
+  Out=append(Out,pA+ra*(pC-pA)/|pC-pA|);
+  if(length(Bname)>0,
+    tmp1=pA+Brat*ra*(pB-pA)/|pB-pA|+Brat*ra*(pC-pA)/|pC-pA|;
+    tmp="Defvar("+Dq+Bpos+"="+textformat(tmp1,5)+Dq+");";
+    parse(tmp);
+	parse(Bname);
+  );
+  if(Noflg<3,
+    println("generate paramark "+name);
+    tmp1=apply(Out,Pcrd(#));
+    tmp=name+"="+textformat(tmp1,5);
+    parse(tmp);
+    tmp1=substring(textformat(plist,5),1,length(textformat(plist,5))-1);
+    tmp=name+"=Paramark("+tmp1+opstr+")";
+    GLIST=append(GLIST,tmp);
+  );
+  if(Noflg<2,
+    if(isstring(Ltype),
+      Ltype=GetLinestyle(text(Noflg)+Ltype,name);
+    ,
+      if(Noflg==1,Ltype=0);
+    );
+    GCLIST=append(GCLIST,[name,Ltype,opcindy]);
+  );
+  Out;
+);
+
+MakeBowdata(pA,pB,Hgt):=(
+  regional(angle,pB2,pH2,pC2,pC,tmp,Th1,Th2,ra,dMA);
+  angle=arctan2(pB-pA)+0;
+  pB2=Rotatepoint(pB,-angle,pA);
+  tmp=Lcrd(pA);
+  pH2=[(tmp_1+pB2_1)/2,tmp_2-Hgt];
+  dMA=|tmp-pB2|/2;
+  ra=(dMA^2+Hgt^2)/(2*Hgt);
+  pC2=[pH2_1,pB2_2+(ra-Hgt)];
+  pC=Rotatepoint(pC2,angle,pA);
+  Th1=arctan2(pA-pC2)+angle;
+  Th2=arctan2(pB2-pC2)+angle;
+  [pC,ra,Th1,Th2];
+);
+
+Bowdata(nm,plist,options):=(
+//help:Bowdata([C,A],[2,1.2,"Expr=10","da"]);
+//help:Bowdata([A,B],["Expr=t0n3,a"]);
+//help:Bowdata([A,B],["Exprrot=t0n2r,a"]);
+  regional(name,Out,pB,pA,pC,ra,tmp,tmp1,tmp2,Ltype,eqL,realL,
+    Bname,Bpos,Th,Cut,Num,Hgt,opstr,opcindy,Ydata,pC,
+    Th1,Th2,Noflg,Bops,Bmov,Tmov,Nmov,rev);
+  name="bw"+nm;
+  tmp=Divoptions(options);
+  Ltype=tmp_1;
+  Noflg=tmp_2;
+  opstr=tmp_(length(tmp)-1);
+  opcindy=tmp_(length(tmp));
+  eqL=tmp_5;
+  realL=tmp_6;
+  pA=Lcrd(plist_1); pB=Lcrd(plist_2);
+  Hgt=1/2*|pB-pA|*0.2;
+  Cut=0;
+  Num=24;
+  Bname="";
+  Tmov=0;//16.11.01from
+  Nmov=0;
+  Bmov="";
+  rev=0;//16.11.01upto
+  if(length(realL)>0,
+    Hgt=realL_1*Hgt; // 15.04.12
+    if(length(realL)>1,Cut=realL_2);
+  );
+  forall(eqL,
+    tmp=substring(#,0,1);
+    if(tmp=="L" % tmp=="l",
+      if(indexof(#,"rot")>0,
+        Bname="Letterrot(";
+      ,
+        Bname="Letter(";
+      );
+    );
+    if(tmp=="E" % tmp=="e",
+      if(indexof(#,"rot")>0,
+        Bname="Exprrot(";
+      ,
+        Bname="Expr(";
+      );
+    );
+    tmp=indexof(#,"=");
+    Bops=substring(#,tmp,length(#)); // 16.11.01
+  );
+  Ydata=MakeBowdata(pA,pB,Hgt); 
+  pC=Ydata_1;
+  ra=Ydata_2;
+  Th=(Ydata_3+Ydata_4)*0.5;
+  BOWMIDDLE=[pC_1+ra*cos(Th),pC_2+ra*sin(Th)];
+  Bpos="md"+name; // 16.10.31from(moved)
+  tmp="Defvar("+Dq+Bpos+"="+textformat(BOWMIDDLE,5)+Dq+");";
+  parse(tmp);// 16.10.31upto(moved)
+  if(length(Bname)>0,  //16.11.01from
+    tmp=indexof(Bops,",");
+    if(tmp>0,
+      tmp1=substring(Bops,0,tmp-1);
+      if(length(tmp1)>=4 & substring(tmp1,0,1)=="t" & indexof(tmp1,"n")>0,
+        Bmov=tmp1;
+        Bops=substring(Bops,tmp,length(Bops));
+      );
+    );
+    if(length(Bmov)>0,
+      tmp=indexof(Bmov,"t");
+      if(tmp>0,
+        tmp1=indexof(Bmov,"n");
+        Tmov=parse(substring(Bmov,tmp,tmp1-1));
+        tmp=indexof(Bmov,"r");
+        if(tmp>0,
+          Nmov=parse(substring(Bmov,tmp1,tmp-1));
+          rev=1;
+        ,
+          Nmov=parse(substring(Bmov,tmp1,length(Bmov)));
+        );
+      );
+    );
+    Bname=Bname+Bpos;//16.11.01
+    if(abs(Tmov)+abs(Nmov)>0,
+      tmp=Pcrd(pA)-Pcrd(pB);
+      tmp1=1/norm(tmp)*tmp;
+      tmp2=[-tmp1_2,tmp1_1];
+      tmp=MARKLEN*(Tmov*tmp1+Nmov*tmp2);
+      tmp=LLcrd(tmp);
+      Bname=Bname+"+"+text(tmp);
+    );
+    Bname=Bname+",";
+    if(indexof(Bname,"rot")>0,
+      if(rev==1,tmp=pB-pA,tmp=pA-pB);
+      Bname=Bname+textformat(tmp,5)+",";
+    ,
+      Bname=Bname+Dq+"c"+Dq+",";
+    );
+    Bname=Bname+Dq+Bops+Dq+")";
+    parse(Bname);
+  );//16.11.01upto
+  if(Cut==0,
+    Th1=Ydata_3;
+    Th2=Ydata_4;
+    Out=[];
+    forall(0..Num,
+      tmp=Th1+#*(Th2-Th1)/Num;
+      Out=append(Out,pC+ra*[cos(tmp),sin(tmp)]);
+    );
+  ,
+    Th1=Ydata_3;
+    Th2=Th-Cut/(2*ra);
+    tmp1=[];
+    forall(0..Num/2,
+      tmp=Th1+#*(Th2-Th1)/(Num/2);
+      tmp1=append(tmp1,pC+ra*[cos(tmp),sin(tmp)]);
+    );
+    Th1=Th+Cut/(2*ra);
+    Th2=Ydata_4;
+    tmp2=[];
+    forall(0..Num/2,
+      tmp=Th1+#*(Th2-Th1)/(Num/2);
+      tmp2=append(tmp2,pC+ra*[cos(tmp),sin(tmp)]);
+    );
+    Out=[tmp1,tmp2];
+  );
+  if(Noflg<3,
+    println("generate bowdata "+name+" and "+Bpos);//16.10.31
+    if(MeasureDepth(Out)==1,Out=[Out]);
+	tmp1=[];
+    forall(Out,tmp2,
+      tmp=apply(tmp2,Pcrd(#));
+      tmp1=append(tmp1,tmp);
+    );
+    tmp=name+"="+textformat(tmp1,5);
+    parse(tmp);
+    tmp1=substring(textformat(plist,5),1,length(textformat(plist,5))-1);
+    tmp=name+"=Bowdata("+tmp1+opstr+")";
+    GLIST=append(GLIST,tmp);
+  );
+  if(Noflg<2,
+    if(isstring(Ltype),
+      Ltype=GetLinestyle(text(Noflg)+Ltype,name);
+    ,
+      if(Noflg==1,Ltype=0);
+    );
+    GCLIST=append(GCLIST,[name,Ltype,opcindy]);
+  );
+);
+
+Deqplot(nm,deq,rng,initf):=Deqplot(nm,deq,rng,Lcrd(initf)_1,initf,[]);
+Deqplot(nm,deq,rng,Arg1,Arg2):=(
+  regional(initt,initf,options);
+  if(isreal(Arg1) & length(Arg1)==1,
+    initt=Arg1;
+    initf=Arg2;
+    options=[];
+  ,
+    initf=Lcrd(Arg1);
+    initt=initf_1;
+    options=Arg2;
+  );
+  Deqplot(nm,deq,rng,initt,initf,options);
+);
+Deqplot(nm,deq,rng,initt,initf,options):=(
+  regional(name,Noflg,Ltype,eqL,opstr,opcindy,pdL,var2,deq2,rng2,initt2,initf2,
+      tmp,tmp1,tmp2,tmp3,tmp4);
+  tmp=tokenize(deq,"=");
+  tmp1=tmp_1;
+  tmp2=tmp_2;
+  tmp3=tokenize(tmp1,"`");
+  if(length(tmp3)==2,
+    if(indexof(tmp1,"[")>0,
+      Deqplot(nm,deq,rng,initt,initf,options,[2,3]);
+    ,
+      if(indexof(rng,"=")>0,rng2=rng,rng2=rng+"=[XMIN,XMAX]");
+      tmp=tokenize(rng2,"=");
+      deq2="["+tmp_1+","+replace(tmp1,"`","]")+"`=[1,"+tmp2+"]";
+      rng2="t="+tmp_2;
+      if(isreal(initf) & length(initf)==1,
+        initf2=[initt,initf];
+        initt2=initt;
+     ,
+       initf2=Lcrd(initf));
+       initt2=initf2_1;
+       Deqplot(nm,deq2,rng2,initt2,initf2,options,[2,3]);
+    );
+  ,
+    name="de"+nm;
+    tmp=Divoptions(options);
+    Ltype=tmp_1;
+    Noflg=tmp_2;
+    eqL=tmp_5;
+    opcindy=tmp_9;
+    opstr="";
+    forall(eqL,
+      if(Toupper(substring(#,0,1))=="N",
+        tmp=indexof(#,"=");
+        tmp1="N="+substring(#,tmp,length(#));
+        opstr=opstr+",'"+tmp1+"'";
+      );        
+    );
+	if(Noflg<1,
+      if(indexof(rng,"=")>0,rng2=rng,rng2=rng+"=[XMIN,XMAX]");
+      var2="d"+tmp3_1;
+      deq2="["+tmp3_1+","+var2+"]`=[";
+      tmp=replace(tmp2,tmp3_1+"`",var2);
+      deq2=deq2+var2+","+tmp+"]";
+      Deqplot(nm,deq2,rng2,initt,initf,append(options,"nodisp"),[1,2]);
+      parse(tmp);
+      tmp=name+"=Deqplot(Assign("+Dq+deq+Dq+"),'"+rng+"',";
+      tmp=tmp+initt+","+initf+opstr+")";
+      GLIST=append(GLIST,tmp);
+    );
+    if(Noflg<2,
+      if(isstring(Ltype),
+        Ltype=GetLinestyle(text(Noflg)+Ltype,name);
+      ,
+        if(Noflg==1,Ltype=0);
+      );
+      GCLIST=append(GCLIST,[name,Ltype,opcindy]);
+      parse("de"+nm);
+    );
+  );
+);
+Deqplot(nm,deq,rng,initt,initf,options,Sel):=(
+//help:Deqplot("2","y`=y*(1-y)","x",0, 0.5,["Num=100"]);
+//help:Deqplot("1","y``=-y","x",0, [1,0]);
+//help:Deqplot("3","[x,y]`=[x*(1-y),0.3*y*(x-1)]","t=[0,20]",[1,0.5]);
+  regional(Ltype,Noflg,Inflg,Outflg,strL,opstr,opcindy,Num,
+      outstr,name,func,xf,yf,pdL,Eps,Inf,t1,t2,tt,Vname,dt,funP,funN,flg,
+      kl1,kl2,kl3,kl4,x0,y0,x1,y1,tmp,tmp1,tmp2);
+  name="de"+nm;
+  tmp=Divoptions(options);
+  Ltype=tmp_1;
+  Noflg=tmp_2;
+  Inflg=tmp_3;
+  Outflg=tmp_4;
+  eqL=tmp_5;
+  strL=tmp_7;
+//  opstr=tmp_(length(tmp)-1);
+  opstr="";
+  opcindy=tmp_(length(tmp));
+  outstr="";
+  forall(strL,
+    tmp=Toupper(substring(#,0,1));
+    if(tmp=="S",
+      outstr="Sci";
+    );
+  );
+  Num=50;
+  forall(eqL,
+    tmp=indexof(#,"=");
+    tmp2=substring(#,0,1);
+    tmp2=Toupper(tmp2);
+    tmp1=substring(#,tmp,length(#));
+    opstr=opstr+",'"+tmp2+"="+tmp1+"'";
+    if(Toupper(substring(#,0,1))=="N",
+      Num=parse(tmp1);
+    );
+  );
+  if(outstr=="Sci",
+    if(Inflg==0 & Outflg==0,Outflg=1;Inflg=1);
+  );
+  if(Noflg<3,
+    if(outstr=="Sci",
+      if(Outflg==1,
+        println("Output Deqplot "+name);
+        SCIWRLIST=append(SCIWRLIST,name);
+      );
+      if(Inflg==1,
+        println("Input Deqplot "+name);
+        if(length(SCIRELIST)==0,
+          ReadOutData(Fnameout);
+        );
+        tmp=parse(name);
+        if(islist(tmp),
+          Extractdata(name,["nodisp"]);  // 12.19
+        );
+        SCIRELIST=append(SCIRELIST,name);
+      );
+    ,
+	  Eps=10^(-3);
+      Inf=10^3;
+      tmp=tokenize(deq,"=");
+      tmp1=tmp_1;
+      func=tmp_2;
+      tmp=indexof(tmp1,",");
+      xf=substring(tmp1,1,tmp-1);
+      yf=substring(tmp1,tmp,length(tmp1));
+      tmp=indexof(yf,"]");
+      yf=substring(yf,0,tmp-1);
+      tmp=tokenize(rng,"=");
+      Vname=tmp_1;
+      tmp=parse(tmp_2);
+      t1=tmp_1;
+      t2=tmp_2;
+      tmp="funP("+Vname+","+xf+","+yf+"):="+func+";";
+      parse(tmp);
+      tmp=tokenize(func,",");
+      tmp1="-("+substring(tmp_1,1,length(tmp_1))+")";
+      tmp2="-("+substring(tmp_2,0,length(tmp_2)-1)+")";
+      tmp="funN("+Vname+","+xf+","+yf+"):=["+tmp1+","+tmp2+"];";
+      parse(tmp);
+      dt=(t2-t1)/Num;
+      tt=initt;
+      tmp=Lcrd(initf);
+      x0=tmp_1;
+      y0=tmp_2;
+      pdL=[[tt,x0,y0]];
+      flg=0;
+      forall(1..floor((t2-initt)/dt),
+        if(flg==0,
+          kl1=dt*funP(tt,x0,y0);
+          kl2=dt*funP(tt+dt/2,x0+kl1_1/2,y0+kl1_2/2);
+          kl3=dt*funP(tt+dt/2,x0+kl2_1/2,y0+kl2_2/2);
+          kl4=dt*funP(tt+dt,x0+kl3_1,y0+kl3_2);//16.10.14
+          tmp1=[x0,y0]+(kl1+2*kl2+2*kl3+kl4)/6;
+          x0=tmp1_1;
+          y0=tmp1_2;
+          tt=initt+#*dt;
+          pdL=append(pdL,[tt,x0,y0]);
+          if(|tmp1|>Inf,flg=1);
+        );
+      );
+      tt=initt;
+      tmp=Lcrd(initf);
+      x0=tmp_1;
+      y0=tmp_2;
+      flg=0;
+      forall(1..floor((initt-t1)/dt),
+        if(flg==0,
+          kl1=dt*funN(tt,x0,y0);
+          kl2=dt*funN(tt+dt/2,x0+kl1_1/2,y0+kl1_2/2);
+          kl3=dt*funN(tt+dt/2,x0+kl2_1/2,y0+kl2_2/2);
+          kl4=dt*funN(tt+dt/2,x0+kl3_1/2,y0+kl3_2/2);
+          tmp1=[x0,y0]+(kl1+2*kl2+2*kl3+kl4)/6;
+          x0=tmp1_1;
+          y0=tmp1_2;
+          tt=initt-#*dt;
+          pdL=prepend([tt,x0,y0],pdL);
+          if(|tmp1|>Inf,flg=1);
+        );
+      );
+      println("Generate Deqplot "+name);
+      pdL=apply(pdL,#_Sel);
+      tmp1=apply(pdL,Pcrd(#));
+      tmp=name+"="+textformat(tmp1,5);
+      parse(tmp);
+    );
+    if(Noflg<1,
+      tmp=name+"=Deqplot(Assign("+Dq+deq+Dq+"),'"+rng+"',";
+      tmp=tmp+initt+","+initf+opstr+")";
+      GLIST=append(GLIST,tmp);
+    );
+  );
+  if(Noflg<2,
+    if(isstring(Ltype),
+      Ltype=GetLinestyle(text(Noflg)+Ltype,name);
+    ,
+      if(Noflg==1,Ltype=0);
+    );
+    if(outstr=="Sci",
+      if(Inflg==1,
+        GCLIST=append(GCLIST,[name,Ltype,opcindy]);
+      );
+    ,
+      GCLIST=append(GCLIST,[name,Ltype,opcindy]);
+      pdL;
+    );
+  );
+);
+
+Enclosing(nm,plist):=EnclosingS(nm,plist);
+Enclosing(nm,plist,options):=EnclosingS(nm,plist,options);
+EnclosingS(nm,plist):=EnclosingS(nm,plist,[]);
+EnclosingS(nm,plist,options):=(
+//help:Enclosing("1",["sc2","crAB","sc2","Invert(sc1)"],[pt,"dr"]);
+  regional(name,AnsL,Start,Eps,EEps,S,Flg,Fdata,Gdata,KL,pt,qt,
+      t1,t2,t3,ii,nn,tmp,tmp1,tmp2,Ltype,Noflg,realL,eqL,opstr,opcindy);
+  name="en"+nm;
+  tmp=Divoptions(options);
+  Ltype=tmp_1;
+  Noflg=tmp_2;
+  eqL=tmp_5;
+  realL=tmp_6;
+  opstr=tmp_(length(tmp)-1);
+  opcindy=tmp_(length(tmp));
+  Eps=10^(-3);
+  EEps=0.1;
+  Start=[];
+  Flg=0;
+  forall(realL,
+    if(isList(#) % ispoint(#),
+      Start=Lcrd(#); // 15.09.12
+    ,
+      Flg=Flg+1;
+      if(Flg==1,Eps=#);
+      if(Flg==2,EEps=#);
+    );
+  );
+//  tmp1=concat([Eps,EEps],eqL); // 15.04.06
+  Fdata=plist_1;
+  Gdata=plist_(length(plist));
+  KL=IntersectcrvsPp(Fdata,Gdata);
+  if(length(KL)==1,
+    pt=KL_1_1;
+    t1=KL_1_2;
+  );
+  if(length(KL)==0,
+    if(Numptcrv(Fdata)>Numptcrv(Gdata),
+      tmp=Nearestpt(Fdata,Gdata);
+      pt=tmp_1;
+      t1=tmp_2;
+    ,
+      tmp=Nearestpt(Gdata,Fdata);
+      pt=tmp_3;
+      t1=tmp_4;
+    );
+  );
+  if(length(KL)>1,
+    if(Start==[],
+      err("No Start Point");
+    ,
+      pt=KL_1_1;
+      t1=KL_1_2;
+      tmp=|pt-Start|;
+      forall(2..length(KL),ii, // 15.04.20
+        tmp1=KL_ii_1;
+        tmp2=|tmp1-Start|; // 15.04.20
+        if(tmp2<tmp,
+          pt=tmp1;
+          t1=KL_ii_2;
+          tmp=tmp2;
+        );
+      );
+    );
+  );
+//  pt=Pcrd(pt);  // 15.09.12
+  Start=pt;
+  AnsL=[];
+  forall(1..length(plist),nn,
+    Fdata=plist_nn;
+    if(nn>1, pt=qt); 
+    if(nn==length(plist),
+      qt=Start;
+    ,
+      Flg=0;
+      Gdata=plist_(nn+1);
+//      tmp1=concat([Eps,EEps],eqL); // 15.04.06
+      KL=IntersectcrvsPp(Gdata,Fdata);
+      if(length(KL)==1,
+        tmp=KL_1;
+        qt=KL_1_1;
+        t3=KL_1_2;
+        Flg=10;
+      );
+      if(length(KL)==0,Flg=1);
+      if(length(KL)>1, 
+        tmp1=KL_1_1;
+        tmp2=KL_2_1;
+        tmp=|tmp1-tmp2|;
+        if(tmp<Eps*10, Flg=1); 
+      );
+      if(Flg==1,
+        if(Numptcrv(Fdata)>Numptcrv(Gdata),
+          tmp=Nearestpt(Fdata,Gdata);
+          qt=tmp_1;
+          t3=tmp_4;
+          Flg=10;
+        ,
+          tmp=Nearestpt(Gdata,Fdata);
+          qt=tmp_3;
+          t3=tmp_2;
+          Flg=10;
+        );
+      );
+      if(Flg<10,
+        t2=10^6; //%inf;
+        forall(1..length(KL),ii,
+          tmp1=KL_ii_1;
+          tmp=KL_ii_3;
+          tmp2=ParamonCurve(tmp1,tmp,Fdata);
+          tmp3=KL_ii_2;
+          if(tmp2>t1+Eps & tmp2<t2+Eps,
+            qt=tmp1;
+            t2=tmp2;
+            t3=tmp3;
+          );
+        );
+      );
+    );
+    tmp=Partcrv("",pt,qt,Fdata,["nodata"]);
+    t1=t3;
+    if(nn==1,
+      AnsL=tmp;
+    ,
+      AnsL=concat(AnsL,tmp_(2..length(tmp)));
+    );
+  );
+  AnsL=apply(AnsL,Pcrd(#));  // 15.09.12
+  AnsL_(length(AnsL))=AnsL_1;//16.10.20
+  if(Noflg<3,
+    println("generate Enclosing "+name);
+    tmp=name+"="+textformat(AnsL,5);
+    parse(tmp);
+//    tmp=name+"=Enclosing(";//16.10.20from
+//    tmp1="list(";
+//    forall(plist,
+//      tmp1=tmp1+#+",";
+//    );
+//    tmp=tmp+substring(tmp1,0,length(tmp1)-1)+")"+opstr+")";
+    tmp=apply(AnsL,LLcrd(#));
+    tmp=name+"=Listplot("+textformat(tmp,5)+")";//16.10.20upto
+    GLIST=append(GLIST,tmp);
+  );
+  if(Noflg<2,
+    if(isstring(Ltype),
+      Ltype=GetLinestyle(text(Noflg)+Ltype,name);
+    ,
+      if(Noflg==1,Ltype=0);
+    );
+    GCLIST=append(GCLIST,[name,Ltype,opcindy]);
+  );
+  tmp=apply(AnsL,LLcrd(#));//16.10.20
+  tmp;
+);
+
+Shade(plist):=Shade(plist,[]);
+Shade(plist,options):=(
+//help:Shade(["gr2","sg1"],[0.5]);
+//help:Shade([pointlist],[0.5]);
+  regional(tmp,tmp1,tmp2,opstr,opcindy,Str,G2,flg);
+  if(isstring(plist_1), // 16.01.24
+    println("output Shade of "+plist);
+  ,
+    println("output Shade of lists");
+  );
+  tmp=Divoptions(options);
+  opstr=tmp_(length(tmp)-1);
+  opcindy=tmp_(length(tmp));
+  flg=0;
+  forall(plist,
+    if(flg==0,
+      if(isstring(#),tmp=parse(#),tmp=#); // from 16.01.24
+      if(!islist(tmp),flg=1);  upto
+    );
+  );
+  if(flg==1,
+//    err("some data not defined yet");
+  ,
+    G2=Joincrvs("1",plist,["nodata"]);
+    G2=apply(G2,Pcrd(#));
+    tmp1="fillpoly("+textformat(G2,5)+opcindy+");";
+    parse(tmp1);
+  );
+  Str="Shade(";
+  tmp1="list(";
+  forall(plist,
+    if(isstring(#),  // from 16.01.24
+      if(length(#)>1,
+        tmp1=tmp1+#+",";
+      ,
+        tmp1=tmp1+Dq+#+Dq+",";
+      );
+    ,
+       tmp1=tmp1+"Listplot("+textformat(#,5)+"),";
+    ); // upto 16.01.24
+  );
+  Str=Str+substring(tmp1,0,length(tmp1)-1)+")"+opstr+")";
+  Com2nd(Str);
+);
+
+
+//help:start();
+
+Rotatepoint(point,Theta,ctr):=(
+//help:Rotatepoint(A,2*pi/3,B);
+  regional(X1,X2,Y1,Y2,Cx,Cy,tmp);
+  tmp=Lcrd(point);
+  X1=tmp_1; Y1=tmp_2;
+  tmp=Lcrd(ctr);
+  Cx=tmp_1; Cy=tmp_2;
+  X2=Cx+(X1-Cx)*cos(Theta)-(Y1-Cy)*sin(Theta);
+  Y2=Cy+(X1-Cx)*sin(Theta)+(Y1-Cy)*cos(Theta); 
+  [X2,Y2];
+);
+
+Translatepoint(point,mov):=(
+//help:Translatepoint(A,[2,3]);
+  regional(X1,X2,Y1,Y2,Cx,Cy,tmp);
+  tmp=Lcrd(point);
+  X1=tmp_1; Y1=tmp_2;
+  tmp=Lcrd(mov);
+  Cx=tmp_1; Cy=tmp_2;
+  X2=X1+Cx;
+  Y2=Y1+Cy; 
+  [X2,Y2];
+);
+
+Scalepoint(point,ratio,center):=(
+//help:Scalepoint(A,[3,2],[0,0]);
+  regional(X1,X2,Y1,Y2,Cx,Cy,tmp);
+  tmp=Lcrd(point);
+  X1=tmp_1; Y1=tmp_2;
+  tmp=Lcrd(center);
+  Cx=tmp_1; Cy=tmp_2;
+  X2=Cx+ratio_1*(X1-Cx);
+  Y2=Cy+ratio_2*(Y1-Cy);
+  [X2,Y2];
+);
+
+Reflectpoint(point,symL):=(
+//help:Reflectpoint(A,B);
+//help:Reflectpoint(A,[[2,3]]);
+//help:Reflectpoint(A,[C,E]);\\
+  regional(X1,X2,Y1,Y2,Us,Vs,Pt1,Pt2,Cx,Cy,tmp);
+  tmp=Lcrd(point);
+  X1=tmp_1; Y1=tmp_2;
+  Pt1=Lcrd(symL_1);
+  if(length(symL)==1,
+    Pt2=Pt1;
+  ,
+    Pt2=Lcrd(symL_2);
+  );
+  Us=Pt2_1-Pt1_1;
+  Vs=Pt2_2-Pt1_2;
+  if(Pt1==Pt2,
+    X2=2*Pt1_1-X1;
+    Y2=2*Pt1_2-Y1;
+  ,
+    X2=(Us^2-Vs^2)/(Us^2+Vs^2)*X1+2*Us*Vs/(Us^2+Vs^2)*Y1
+              -2*Vs*(Us*Pt1_2-Vs*Pt1_1)/(Us^2+Vs^2);
+    Y2=2*Us*Vs/(Us^2+Vs^2)*X1-(Us^2-Vs^2)/(Us^2+Vs^2)*Y1
+              +2*Us*(Us*Pt1_2-Vs*Pt1_1)/(Us^2+Vs^2);
+  );
+  [X2,Y2];
+);
+
+Rotatedata(nm,plist,Theta):=Rotatedata(nm,plist,Theta,[]);
+Rotatedata(nm,plist,angle,options):=(
+//help:Rotatedata("1","crAB",pi/3,[[1,5],"dr,2"]);
+  regional(tmp,tmp1,tmp2,pdata,Theta,Pt,Cx,Cy,PdLL,PdL,
+    opcindy,Nj,Njj,Kj,Mj,X1,Y1,X2,Y2,Ltype,Noflg,name);
+  name="rt"+nm;
+  Pt=[0,0];
+  tmp=Divoptions(options);
+  Ltype=tmp_1;
+  Noflg=tmp_2;
+  opcindy=tmp_(length(tmp));
+  tmp1=tmp_6;
+  if(length(tmp1)>0,Pt=Lcrd(tmp1_1));
+  pdata=plist;
+  if(isstring(pdata),pdata=[pdata]);
+  if(!isstring(pdata_1) & MeasureDepth(pdata)==1,
+      pdata=[pdata];
+  );
+  if(isstring(angle),Theta=parse(angle),Theta=angle);
+  Cx=Pt_1; Cy=Pt_2;
+  PdL=[];
+  forall(pdata,Njj,
+    if(isstring(Njj),Kj=parse(Njj),Kj=Njj);
+    if(MeasureDepth(Kj)==1,Kj=[Kj]);
+    tmp2=[];
+    forall(Kj,Nj,
+      tmp1=[];
+      forall(Nj,
+        tmp=LLcrd(#);
+        X1=tmp_1;         
+        Y1=tmp_2;    
+        X2=Cx+(X1-Cx)*cos(Theta)-(Y1-Cy)*sin(Theta);
+        Y2=Cy+(X1-Cx)*sin(Theta)+(Y1-Cy)*cos(Theta); 
+        tmp1=concat(tmp1,[[X2,Y2]]);
+      );
+      tmp2=concat(tmp2,[tmp1]);
+    );
+    PdL=concat(PdL,tmp2);
+  );
+  if(Noflg<3,
+    println("generate Rotatedata "+name);
+    tmp1=[];
+    forall(PdL,tmp2,
+      tmp=apply(tmp2,Pcrd(#));
+      tmp1=append(tmp1,tmp);
+    );
+    if(length(tmp1)==1,tmp1=tmp1_1);
+    tmp=name+"="+textformat(tmp1,5);
+    parse(tmp);
+//    tmp1=textformat(plist,5);
+    tmp1=text(plist); // 15.10.15
+    tmp1=replace(tmp1,"[","list(");
+    tmp1=replace(tmp1,"]",")");
+    tmp=name+"=Rotatedata("+tmp1+","
+	  +textformat(angle,5)+","+textformat(Pt,5)+")";
+    GLIST=append(GLIST,tmp);
+  );
+  if(Noflg<2,
+    if(isstring(Ltype),
+      Ltype=GetLinestyle(text(Noflg)+Ltype,name);
+    ,
+      if(Noflg==1,Ltype=0);
+    );
+    GCLIST=append(GCLIST,[name,Ltype,opcindy]);
+  );
+  PdL;
+);
+
+translatedata(nm,plist,mov):=translatedata(nm,plist,mov,[]);
+translatedata(nm,plist,mov,options):=(
+//help:translatedata("1",["gr1"],[1,2]);
+  regional(tmp,tmp1,tmp2,pdata,Cx,Cy,PdL,Nj,Njj,Kj,
+           opcindy,X2,Y2,Ltype,Noflg,name);
+  name="tr"+nm;
+  tmp=Divoptions(options);
+  Ltype=tmp_1;
+  Noflg=tmp_2;
+  opcindy=tmp_(length(tmp));
+  pdata=plist;
+  if(isstring(pdata),pdata=[pdata]);
+  if(!isstring(pdata_1) & MeasureDepth(pdata)==1,
+      pdata=[pdata];
+  );
+  tmp=Lcrd(mov);
+  Cx=tmp_1; Cy=tmp_2;
+  PdL=[];
+  forall(pdata,Njj,
+    if(isstring(Njj),Kj=parse(Njj),Kj=Njj);
+    if(MeasureDepth(Kj)==1,Kj=[Kj]);
+    tmp2=[];
+    forall(Kj,Nj,
+      tmp1=[];
+      forall(Nj,
+        tmp=LLcrd(#);
+        X2=tmp_1+Cx;         
+        Y2=tmp_2+Cy;    
+        tmp1=concat(tmp1,[[X2,Y2]]);
+      );
+      tmp2=concat(tmp2,[tmp1]);
+    );
+    PdL=concat(PdL,tmp2);
+  );
+  if(Noflg<3,
+    println("generate translatedata "+name);
+    tmp1=[];
+    forall(PdL,tmp2,
+      tmp=apply(tmp2,Pcrd(#));
+      tmp1=append(tmp1,tmp);
+    );
+    if(length(tmp1)==1,tmp1=tmp1_1);
+    tmp=name+"="+textformat(tmp1,5);
+    parse(tmp);
+//    tmp1=textformat(plist,5);
+    tmp1=text(plist); // 15.10.15
+    tmp1=replace(tmp1,"[","list(");
+    tmp1=replace(tmp1,"]",")");
+    tmp=name+"=translatedata("+tmp1+","+textformat(mov,5)+")";
+    GLIST=append(GLIST,tmp);
+  );
+  if(Noflg<2,
+    if(isstring(Ltype),
+      Ltype=GetLinestyle(text(Noflg)+Ltype,name);
+    ,
+      if(Noflg==1,Ltype=0);
+    );
+    GCLIST=append(GCLIST,[name,Ltype,opcindy]);
+  );
+  PdL;
+);
+
+Scaledata(nm,plist,ratioV):=(
+  regional(tmp);
+  tmp=Lcrd(ratioV);
+  Scaledata(nm,plist,tmp_1,tmp_2,[]);
+);
+Scaledata(nm,plist,Arg1,Arg2):=(
+//help:Scaledata("1","crAB",3,2,[[0,0]]);
+  regional(tmp,options);
+  if(islist(Arg2),
+    tmp=Lcrd(Arg1);
+	options=Arg2;
+    Scaledata(nm,plist,tmp_1,tmp_2,options);
+  ,
+    Scaledata(nm,plist,Arg1,Arg2,[]);
+  );
+);
+Scaledata(nm,plist,rx,ry,options):=(
+  regional(tmp,tmp1,tmp2,pdata,Theta,Pt,Cx,Cy,PdL,
+      opcindy,Nj,Njj,Kj,X2,Y2,Ltype,Noflg,name);
+  name="sc"+nm;
+  Pt=[0,0];
+  tmp=Divoptions(options);
+  Ltype=tmp_1;
+  Noflg=tmp_2;
+  opcindy=tmp_(length(tmp));
+  tmp1=tmp_6;
+  if(length(tmp1)>0,
+    Pt=Lcrd(tmp1_1);
+  );
+  pdata=plist;
+  if(isstring(pdata),pdata=[pdata]);
+  if(!isstring(pdata_1) & MeasureDepth(pdata)==1,
+      pdata=[pdata];
+  );
+  Cx=Pt_1; Cy=Pt_2;
+  PdL=[];
+  forall(pdata,Njj,
+    if(isstring(Njj),Kj=parse(Njj),Kj=Njj);
+    if(MeasureDepth(Kj)==1,Kj=[Kj]);
+    tmp2=[];
+    forall(Kj,Nj,
+      tmp1=[];
+      forall(Nj,
+        tmp=LLcrd(#);
+        X2=Cx+rx*(tmp_1-Cx);
+        Y2=Cy+ry*(tmp_2-Cy);
+        tmp1=concat(tmp1,[[X2,Y2]]);
+      );
+      tmp2=concat(tmp2,[tmp1]);
+    );
+    PdL=concat(PdL,tmp2);
+  );
+  if(Noflg<3,
+    println("generate Scaledata "+name);
+    tmp1=[];
+    forall(PdL,tmp2,
+      tmp=apply(tmp2,Pcrd(#));
+      tmp1=append(tmp1,tmp);
+    );
+    if(length(tmp1)==1,tmp1=tmp1_1);
+    tmp=name+"="+textformat(tmp1,5);
+    parse(tmp);
+    tmp1=text(plist);  // 15.10.15
+    tmp1=replace(tmp1,"[","list(");
+    tmp1=replace(tmp1,"]",")");
+    tmp=name+"=Scaledata("+tmp1+","
+	  +textformat(rx,5)+","+textformat(ry,5)+","+textformat(Pt,5)+")";
+    GLIST=append(GLIST,tmp);
+  );
+  if(Noflg<2,
+    if(isstring(Ltype),
+      Ltype=GetLinestyle(text(Noflg)+Ltype,name);
+    ,
+      if(Noflg==1,Ltype=0);
+    );
+    GCLIST=append(GCLIST,[name,Ltype,opcindy]);
+  );
+  PdL;
+);
+
+Reflectdata(nm,plist,symL):=Reflectdata(nm,plist,symL,[]);
+Reflectdata(nm,plist,symL,options):=(
+//help:Reflectdata("1","crAB",[C]);
+  regional(tmp,tmp1,tmp2,pdata,Us,Vs,Pt1,Pt2,Cx,Cy,PdL,
+      opcindy,Nj,Njj,Kj,X1,Y1,X2,Y2,Ltype,Noflg,name);
+  name="re"+nm;
+  Pt=[0,0];
+  tmp=Divoptions(options);
+  Ltype=tmp_1;
+  Noflg=tmp_2;
+  opcindy=tmp_(length(tmp));
+  pdata=plist;
+  if(isstring(pdata),pdata=[pdata]);
+  if(!isstring(pdata_1) & MeasureDepth(pdata)==1,
+      pdata=[pdata];
+  );
+  Pt1=Lcrd(symL_1);
+  if(length(symL)==1,
+    Pt2=Pt1;
+  ,
+    Pt2=Lcrd(symL_2);
+  );
+  Us=Pt2_1-Pt1_1;
+  Vs=Pt2_2-Pt1_2;
+  PdL=[];
+  forall(pdata,Njj,
+    if(isstring(Njj),Kj=parse(Njj),Kj=Njj);
+    if(MeasureDepth(Kj)==1,Kj=[Kj]);
+    tmp2=[];
+    forall(Kj,Nj,
+      tmp1=[];
+      forall(Nj,
+      tmp=LLcrd(#);
+        X1=tmp_1;         
+        Y1=tmp_2;    
+        if(Pt1==Pt2,
+          X2=2*Pt1_1-X1;
+          Y2=2*Pt1_2-Y1;
+        ,
+          X2=(Us^2-Vs^2)/(Us^2+Vs^2)*X1+2*Us*Vs/(Us^2+Vs^2)*Y1
+                -2*Vs*(Us*Pt1_2-Vs*Pt1_1)/(Us^2+Vs^2);
+          Y2=2*Us*Vs/(Us^2+Vs^2)*X1-(Us^2-Vs^2)/(Us^2+Vs^2)*Y1
+                +2*Us*(Us*Pt1_2-Vs*Pt1_1)/(Us^2+Vs^2);
+        );
+        tmp1=concat(tmp1,[[X2,Y2]]);
+      );
+      tmp2=concat(tmp2,[tmp1]);
+    );
+    PdL=concat(PdL,tmp2);
+  );
+  if(Noflg<3,
+    println("generate Reflectdata "+name);
+    tmp1=[];
+    forall(PdL,tmp2,
+      tmp=apply(tmp2,Pcrd(#));
+      tmp1=append(tmp1,tmp);
+    );
+    if(length(tmp1)==1,tmp1=tmp1_1);
+	tmp=name+"="+textformat(tmp1,5);
+    parse(tmp);
+//    tmp1=textformat(plist,5);
+    tmp1=text(plist); // 15.10.15
+    tmp1=replace(tmp1,"[","list(");
+    tmp1=replace(tmp1,"]",")");
+    tmp=name+"=Reflectdata("+tmp1+","+textformat(symL,5)+")";
+    GLIST=append(GLIST,tmp);
+  );
+  if(Noflg<2,
+    if(isstring(Ltype),
+      Ltype=GetLinestyle(text(Noflg)+Ltype,name);
+    ,
+      if(Noflg==1,Ltype=0);
+    );
+    GCLIST=append(GCLIST,[name,Ltype,opcindy]);
+  );
+  PdL;
+);
+
+Mksegments():=Mksegments([]);
+Mksegments(options):=(
+//help:Mksegments();
+  regional(segstr,p,q,r,tmp1,tmp2,tmp3);
+  forall(allsegments(),seg,
+    str=text(inspect(seg,"definition"));
+    tmp1=indexof(str,"(");
+    tmp2=indexof(str,";");
+    tmp3=indexof(str,")");
+    p=substring(str,tmp1,tmp2-1);
+    q=substring(str,tmp2,tmp3-1);
+    Listplot([parse(p),parse(q)]);
+  );
+);
+
+Mkcircles():=Mkcircles([]);
+Mkcircles(options):=(
+//help:Mkcircles():
+  regional(seg,cir,str,p,q,r,tmp1,tmp2,tmp3,tmp4);
+  forall(allcircles(),cir,
+    str=text(inspect(cir,"definition"));
+    tmp1=indexof(str,"(");
+    tmp2=indexof(str,";");
+    tmp3=indexof(str,")");
+    tmp4=indexof(str,";",tmp2+1);
+    if(tmp4==0,
+      p=substring(str,tmp1,tmp2-1);
+      q=substring(str,tmp2,tmp3-1);
+      Circledata([parse(p),parse(q)]);
+    ,
+      p=substring(str,tmp1,tmp2-1);
+      q=substring(str,tmp2,tmp4-1);
+      r=substring(str,tmp4,tmp3-1);
+      Circledata([parse(p),parse(q),parse(r)]);
+    );
+  );
+);
+
+Makesciarg(arglist):=(
+  regional(str,tmpstr);
+  str="";
+  forall(arglist,
+    if(isstring(#),
+      tmpstr=Dq+#+Dq;
+    ,
+      tmpstr=textformat(#,5);
+    );
+    str=str+tmpstr+",";
+  );
+  str=substring(str,0,length(str)-1);
+  str;
+);
+
+Setax(arglist):=(
+//help:Setax(["l","x","e","y","n","O","sw"]);
+//help:Setax([7,"nw"]);
+  regional(tmp);
+  tmp=Makesciarg(arglist);
+  Com1st("Setax("+tmp+")");
+);
+
+Htickmark(arglist):=(
+//help:Htickmark([1,"1",2,"sw","2"]);
+  regional(tmp);
+  tmp="";
+  tmp=Makesciarg(arglist);
+  Com2nd("Htickmark("+tmp+")");
+);
+
+Vtickmark(arglist):=(
+//help:Vtickmark([1,"1",2,"sw","2"]);
+  regional(tmp);
+  tmp=Makesciarg(arglist);
+  Com2nd("Vtickmark("+tmp+")");
+);
+
+Drwxy():=(
+//help:Drwxy();
+  Com2nd("Drwxy()");
+  Addax(0);  // 16.01.21
+);
+
+Drwpt(pstr):=Drawpoint(pstr);
+Drwpt(ptlist,nn):=(  // 16.03.05 from
+//help:Drwpt(A);
+//help:Drwpt("[1,1],0");
+//help:Drwpt(A,0);
+//help:Drwpt([1,2],0);
+  Drawpoint(ptlist,nn);
+);
+Drawpoint(pstr):=(
+  if(isstring(pstr),
+    println("Drwpt : "+pstr);
+    Com2nd("Drwpt("+pstr+")");
+  ,
+    Drawpoint(pstr,1);
+  );
+);
+Drawpoint(ptlistorg,nn):=(
+  regional(ptlist,thick,tmp,tmp1);
+  println("Drwpt : "+text(ptlistorg));
+  if(islist(ptlistorg),
+    if(MeasureDepth(ptlistorg)==1,
+      ptlist=ptlistorg
+    ,
+      ptlist=[ptlistorg]
+    );
+  ,
+    ptlist=[ptlistorg]
+  );
+  thick=PenThick/PenThickInit;// 16.04.09 from
+  tmp1=max(TenSize/TenSizeInit,1)/8; 
+  Setpen(tmp1); // 16.04.09 upto
+  forall(ptlist,
+    tmp=textformat(#,5)+","+text(nn);
+    Com2nd("Drwpt("+tmp+")"); // 16.04.09
+  );
+  Setpen(thick); // 16.04.09
+);// 16.03.05 upto
+
+Addax(param):=(
+//help:Addax(0);
+  ADDAXES=text(param);
+);
+
+Expr(Pt,Dr,St):=Expr([Pt,Dr,St]);
+Expr(list):=Expr(list,[]);
+Expr(listorg,options):=( //16.10.09
+//help:Expr([A,"e","f(x)=x^2"]);
+  regional(list,str,tmp,tmp1,tmp2);
+  list=listorg;
+  forall(1..round(length(list)/3),
+    str=list_(3*#);
+    if(!isstring(str),str=format(str,5));
+    str="$"+str+"$";
+    list_(3*#)=str;
+  );
+  Letter(list,options);
+);
+
+Letter(Pt,Dr,St):=Letter([Pt,Dr,St]);
+Letter(list):=Letter(list,[]);
+Letter(list,options):=(
+//help:Letter([C,"c","Graph of f(x)"]);
+  regional(Nj,Pos,Dir,Str,Off,Dmv,Xmv,Ymv,Noflg,opcindy,
+      opL,aln,sz,clr,bld,ita,tmp,tmp1,tmp2);
+  tmp=Divoptions(options);
+  Noflg=tmp_2;
+  opL=select(options,indexof(#,"->")>0); //16.10.09from
+  tmp=select(opL,indexof(#,"color"));
+  size=12;
+  clr=[0,0,0];
+  bld=false;
+  ita=false;
+  aln="left";
+  forall(opL,
+    tmp=indexof(#,"->");
+    tmp1=removespace(substring(#,0,tmp-1));
+    tmp2=substring(#,tmp+1,length(#));
+    if(tmp1=="size",sz=parse(tmp2));
+    if(tmp1=="color",clr=parse(tmp2));
+    if(tmp1=="bold",bld=parse(tmp2));
+    if(tmp1=="ita",ita=parse(tmp2));
+  );//16.10.09upto
+  Off=-4;
+  Dmv=8;
+  Nj=1;
+  while(Nj+2<=length(list),
+//    Pos=textformat(list_Nj,5);
+    Pos=list_Nj;
+    Dir=list_(Nj+1);
+    tmp=indexof(Dir,"s")+indexof(Dir,"n");//16.10.19from
+    if(tmp>0, 
+      tmp=indexof(Dir,"w")+indexof(Dir,"e");
+      if(tmp==0,
+        Dir="c"+Dir;//16.10.08
+      );
+    );//16.10.19upto
+    Str=list_(Nj+2);
+    if(!isstring(Str),Str=format(Str,5)); // 16.09.30,10.09
+    tmp=replace(Str,".xy","");
+    tmp=replace(tmp,".x","(1)");
+    Str=replace(tmp,".y","(2)");
+    if(indexof(Str,"`")>0,
+//      tmp=Dq+",Assign('"+Str+"','`',Prime()))";
+      tmp=Dq+",Assign('"+Str+"'))"; // 15.02.22
+    ,
+      tmp=Dq+","+Dq+Str+Dq+")";
+    );
+    if(Noflg==0,
+      Com2nd("Letter("+Lcrd(Pos)+","+Dq+Dir+tmp);//16.10.10
+    );
+    if(Noflg<2,
+      Xmv=0;//16.10.13
+      Ymv=-4;
+      if(indexof(Dir,"n")>0,
+        Ymv=Dmv/2;
+      );
+      if(indexof(Dir,"s")>0,
+        Ymv=-Dmv*3/2;//16.10.13
+      );
+      if(indexof(Dir,"e")>0,
+        Xmv=Dmv/2;
+        Off=0;
+        aln="left"; 
+      );
+      if(indexof(Dir,"w")>0, 
+        Xmv=-Dmv/2;
+        Off=0; // 16.09.30from
+        aln="right"; 
+      );
+      if(indexof(Dir,"c")>0,
+        Xmv=0;//16.10.13
+        Off=0;
+        if(Ymv==0,Ymv=-4);//16.10.08
+        aln="mid"; // 16.09.30upto
+      );
+      drawtext(Pcrd(Pos),Str,offset->[Off+Xmv,Off+Ymv],
+         size->sz,color->clr,align->aln,bold->bld,italics->ita);//16.10.09
+    );
+    Nj=Nj+3;
+  );
+);
+
+Letterrot(pt,dir,str):=Letterrot(pt,dir,0,0,str);
+Letterrot(pt,dir,movstr,str):=(
+//help:Letterrot(C,B-A,"AB"):
+//help:Letterrot(C,B-A,0,5,"AB"):
+//help:Letterrot(C,B-A,"t0n5","AB"):
+  regional(tmov,nmov,tmp,tmp1,tmp2);
+  tmp1=indexof(movstr,"t");
+  tmp2=indexof(movstr,"n");
+  if(tmp1>0,
+    if(tmp2>0,tmp=tmp2-1,tmp=length(movstr));
+    tmov=parse(substring(movstr,tmp1,tmp));
+  ,
+    tmov=0;
+  );
+  if(tmp2>0,
+    nmov=parse(substring(movstr,tmp2,length(movstr)));
+  ,
+    nmov=0;
+  );
+  Letterrot(pt,dir,tmov,nmov,str);
+);
+Letterrot(pt,dir,tmov,nmov,str):=(
+  Letter([pt,"c",str],["notex"]);
+  Com2nd("Letterrot("+pt+","+dir+","+tmov+","+nmov+",'"+str+"')");
+);
+
+Exprrot(pt,dir,str):=Exprrot(pt,dir,0,0,str);
+Exprrot(pt,dir,movstr,str):=(
+//help:Exprrot(C,B-A,"d"):
+//help:Exprrot(C,B-A,0,5,"d"):
+//help:Exprrot(C,B-A,"t0n5","d"):
+  regional(tmov,nmov,tmp,tmp1,tmp2);
+  tmp1=indexof(movstr,"t");
+  tmp2=indexof(movstr,"n");
+  if(tmp1>0,
+    if(tmp2>0,tmp=tmp2-1,tmp=length(movstr));
+    tmov=parse(substring(movstr,tmp1,tmp));
+  ,
+    tmov=0;
+  );
+  if(tmp2>0,
+    nmov=parse(substring(movstr,tmp2,length(movstr)));
+  ,
+    nmov=0;
+  );
+  Exprrot(pt,dir,tmov,nmov,str);
+);
+Exprrot(pt,dir,tmov,nmov,str):=(
+  Expr([pt,"c",str],["notex"]);
+  Com2nd("Exprrot("+pt+","+dir+","+tmov+","+nmov+",'"+str+"')");
+);
+
+Slider(ptstr,p1,p2):=( //17.04.11
+//help:Slider("A-C-B",[-3,0],[3,0]);
+  regional(pA,pB,pC,seg,sname,Alpha,tmp,tmp1);
+  tmp=indexall(ptstr,"-");
+  pA=substring(ptstr,0,tmp_1-1);
+  pC=substring(ptstr,tmp_1,tmp_2-1);
+  pB=substring(ptstr,tmp_2,length(ptstr));
+  seg=pA+pB;
+  Alpha="ABCDEFGHIJKLMNOPQRSTUVWXYZ";
+  sname="";
+  forall(1..(length(seg)),
+    tmp=substring(seg,#-1,#);
+    tmp1=indexof(Alpha,tmp);
+    if(tmp1>0,
+      sname=sname+unicode(text(tmp1+96),base->10);
+    ,
+      sname=sname+tmp;
+    );
+  );
+  Putpoint(pA,p1);
+  Putpoint(pB,p2);
+  Listplot([parse(pA),parse(pB)],["notex","color->[0,0.4,0.4]","size->2"]);
+//  create([sname],"Segment",[parse(pA),parse(pB)]);
+//  tmp2=Listplot("",[p1,p2],["nodata"]);
+  Putonseg(pC,parse("sg"+pA+pB));
+//  create([pC],"PointOn",[parse(sname),0.5]);
+);
+
+Putpoint(name,Pt):=Putpoint(name,Pt,Pt);
+Putpoint(name,Ptinit,Pt):=(
+//help:Putpoint("A",[1,2],[1,A.y]);
+  regional(ptstr);
+  ptstr=apply(allpoints(),#.name);
+  if(!contains(ptstr,name),
+    createpoint(name,Pcrd([Ptinit_1,Ptinit_2]));
+    ,
+    ptstr=name+".xy="+textformat(Pcrd(Pt),5);
+    parse(ptstr);
+  );
+);
+
+Bezierpt(t,ptlist,ctrlist):=(
+  regional(flg3,p0,p1,p2,p3,p4,p5,p6,p7,p8,p9);
+  p0=ptlist_1;
+  p3=ptlist_2;
+  p1=ctrlist_1;
+  if(length(ctrlist)==1,
+    p2=p3;
+    flg3=0;
+  ,
+    p2=ctrlist_2;
+    flg3=1;
+  );
+  if(length(p0)<3,  // 15.02.08
+    p0=Lcrd(p0);
+    p3=Lcrd(p3);
+    p1=Lcrd(p1);
+    p2=Lcrd(p2);
+  );
+  p4=(1-t)*p0+t*p1;
+  p5=(1-t)*p1+t*p2;
+  p6=(1-t)*p2+t*p3;
+  p7=(1-t)*p4+t*p5;
+  p8=(1-t)*p5+t*p6;
+  p9=(1-t)*p7+t*p8;
+  if(flg3==0,p7,p9);
+);
+
+Bezier(ptctrlist):=BezierCurve(ptctrlist_3,ptctrlist_1,ptctrlist_2,[]);
+Bezier(ptctrlist,options):=BezierCurve(ptctrlist_3,ptctrlist_1,ptctrlist_2,options);
+Bezier(nm,ptlist,ctrlist):=BezierCurve(nm,ptlist,ctrlist,[]);
+Bezier(nm,ptlist,ctrlist,options):=BezierCurve(nm,ptlist,ctrlist,options);
+BezierCurve(nm,ptlist,ctrlist):=BezierCurve(nm,ptlist,ctrlist,[]);
+BezierCurve(nm,ptlistorg,ctrlistorg,options):=(
+//help:Bezier("1",[A,D],[B,C]);
+//help:Bezier(options=["Num=10"]);
+  regional(name,Ltype,Noflg,opstr,opcindy,Num,
+    ptlist,ctrlist,tmp,tmp1,tmp2,ii,st,out,list);
+  name="bz"+nm;
+  tmp=Divoptions(options);
+  Ltype=tmp_1;
+  Noflg=tmp_2;
+  opstr=tmp_(length(tmp)-1);
+  opcindy=tmp_(length(tmp));
+  Num=10;
+  tmp1=tmp_5;
+  forall(tmp1,     // 14.12.31
+    if(substring(#,0,1)=="N",
+      tmp2=indexof(#,"=");
+      Num=parse(substring(#,tmp2,length(#)));
+      opstr=opstr+","+Dq+#+Dq;
+    );
+  );
+  ptlist=apply(ptlistorg,Lcrd(#)); // 16.08.16
+  ctrlist=[];  // 14.12.31
+  if(length(ctrlistorg)==length(ptlist)-1,
+    forall(ctrlistorg,tmp1,
+      if(MeasureDepth(tmp1)==0,tmp=[tmp1],tmp=tmp1);
+      tmp=apply(tmp,Lcrd(#)); // 16.08.16
+      ctrlist=append(ctrlist,tmp);
+    );
+  ,
+    forall(1..(length(ptlist)-1),ii,
+      tmp=ctrlistorg_((2*ii-1)..(2*ii));
+      tmp=apply(tmp,Lcrd(#)); // 16.08.16
+      ctrlist=append(ctrlist,tmp);
+    );
+  );
+  if(!islist(Num),
+    Num=apply(ctrlist,Num);
+  );
+  list=[];
+  forall(1..(length(ptlist)-1),ii,
+    tmp1=ptlist_(ii..(ii+1));
+    tmp2=ctrlist_ii;
+    if(ii==1,st=0,st=1);
+    forall(st..Num_ii,
+      tmp=Bezierpt(#/Num_ii,tmp1,tmp2);
+      list=append(list,tmp);
+    );
+  );
+  if(Noflg<3,
+    println("generate Bezier "+name);
+    out=apply(list,Pcrd(#));
+    tmp=name+"="+textformat(out,5);
+    parse(tmp);
+    tmp1=textformat(ptlist,5);
+    tmp1="list("+substring(tmp1,1,length(tmp1)-1)+")";
+    tmp2=textformat(ctrlist,5);
+    tmp2="list("+substring(tmp2,1,length(tmp2)-1)+")";
+    GLIST=append(GLIST,name+"=Bezier("+tmp1+","+tmp2+opstr+")");
+  );
+  if(Noflg<2,
+    if(isstring(Ltype),
+      Ltype=GetLinestyle(text(Noflg)+Ltype,name);
+    ,
+      if(Noflg==1,Ltype=0);
+    );
+    GCLIST=append(GCLIST,[name,Ltype,opcindy]);
+  );
+  list;
+);
+
+Readcsvsla(fname):=Readplotdigdata(fname,[]);
+Readcsvsla(fname,options):=Readplotdigdata(fname,options);
+Readplotdigdata(fname):=Readplotdigdata(fname,[]);
+Readplotdigdata(fname,options):=(
+  regional(fsc,mv,cmdall,dataL,nd,npt,ptdata,ii,tmp,tmp1,tmp2,tmp3);
+  tmp=Divoptions(options);
+  tmp1=tmp_6;
+  sc=1;//10;
+  mv=[0,0];//[5,5];
+  forall(tmp1,
+    if(!islist(#),sc=#,mv=#);
+  );
+  if(indexof(fname,".")>0,
+    tmp=load(fname);
+  ,
+    tmp=load(fname+".txt");
+  );
+  cmdall=tokenize(tmp,"//");
+  dataL=[];
+  forall(2..length(cmdall),ii,
+    tmp1=parse("["+cmdall_ii+"]");
+    dataL=append(dataL,tmp1);
+  );
+  if(length(dataL_(length(dataL)))<2,
+    dataL=dataL_(1..(length(dataL)-1));
+  );
+  nd=length(dataL_1)/2;
+  npt=length(dataL);
+  ptdata=[];
+  forall(1..nd,ii,
+    tmp3=[];
+    forall(1..npt,
+      tmp1=dataL_#_(2*ii-1);
+      tmp2=dataL_#_(2*ii);
+      if(isreal(tmp1),
+        tmp3=append(tmp3,[tmp1,tmp2]);
+      );
+    );
+    ptdata=append(ptdata,tmp3);
+  );
+  tmp1=[];
+  forall(ptdata,
+    tmp=#/sc;
+    tmp=translatedata("1",[tmp],-mv,["nodata"]);
+    tmp1=append(tmp1,tmp);
+  );
+  ptdata=tmp1;
+  ptdata;
+);
+
+Putbezierdata(name,ptL):=Putbezierdata(name,ptL,[]);
+Putbezierdata(name,ptL,options):=(
+  regional(psize,Deg,tmp,tmp1,tmp2,p1,p2,pts,ctrs);
+  tmp=Divoptions(options);
+  psize=3;
+  Deg=3;
+  tmp1=tmp_5;
+  forall(tmp1,
+    if(substring(#,0,1)=="D",
+      tmp=indexof(#,"=");
+      Deg=parse(substring(#,tmp,length(#)));
+    );
+    if(substring(#,0,1)=="S",
+      tmp=indexof(#,"=");
+      psize=parse(substring(#,tmp,length(#)));
+    );
+  );
+  pts=[];
+  ctrs=[];
+  forall(1..length(ptL),
+    p2=ptL_#; // 16.08.16
+    if(ispoint(p2),
+      tmp1=text(p2);
+    ,
+      tmp1=name+text(#);
+      Putpoint(tmp1,p2,Lcrd(parse(tmp1))); // 16.08.16
+    );
+    inspect(parse(tmp1),"ptsize",psize);
+    pts=append(pts,parse(tmp1));
+    inspect(parse(tmp1),"color",4);
+    if(#>1,
+      p1=Lcrd(ptL_(#-1)); // 16.08.16
+      p2=Lcrd(ptL_#); // 16.08.16
+      if(Deg==3,
+        tmp=(2*p1+p2)/3;
+        tmp1=name+"p"+text(#-1);
+        Putpoint(tmp1,tmp,Lcrd(parse(tmp1))); // 16.08.16
+        inspect(parse(tmp1),"labeled",false);  //15.01.22
+		Letter([parse(tmp1),"ne",tmp1],["notex"]);  //15.01.22
+        inspect(parse(tmp1),"ptsize",psize);
+        inspect(parse(tmp1),"color",3);
+        tmp=(p1+2*p2)/3;
+        tmp2=name+"q"+text(#-1);
+		Putpoint(tmp2,tmp,Lcrd(parse(tmp2))); // 16.08.16
+        inspect(parse(tmp2),"labeled",false);  //15.01.22
+  	    Letter([parse(tmp2),"ne",tmp2],["notex"]);  //15.01.22
+        inspect(parse(tmp2),"ptsize",psize);
+        inspect(parse(tmp2),"color",3);
+        ctrs=append(ctrs,[parse(tmp1),parse(tmp2)]);
+      ,
+        tmp=(p1+p2)/2;
+        tmp1=name+"p"+text(#-1);
+        Putpoint(tmp1,tmp,Lcrd(parse(tmp1))); // 16.08.16
+        inspect(parse(tmp1),"labeled",false);  //15.01.22
+		Letter([parse(tmp1),"ne",tmp1],["notex"]);  //15.01.22
+        inspect(parse(tmp1),"ptsize",psize);
+        inspect(parse(tmp1),"color",3);
+        ctrs=append(ctrs,[parse(tmp1)]);
+      );
+    );
+  );
+  [pts,ctrs,name];
+);
+
+Bezierstart(n):=( // 2016.02.26
+  BezierNumber=n;
+);
+
+Mkbezierptcrv(ptdata):=Mkbezierptcrv(ptdata,[]);
+Mkbezierptcrv(ptdata,options):=(
+ //help:Mkbezierptcrv([A,B,C,D]);
+ //help:Mkbezierptcrv([[A,B],[C,D]]);
+ //help:Mkbezierptcrv(options=["Num=10"]);
+ //  global BezierNumber
+  regional(ptlist,Out,tmp,tmp1,tmp2);
+  if(isstring(ptdata),
+    ptlist=Readcsvsla(ptdata,options);
+  ,
+    ptlist=ptdata;
+  );
+  if(MeasureDepth(ptlist)==1,ptlist=[ptlist]);
+  Out=[];
+  forall(1..length(ptlist),
+    tmp=floor((BezierNumber-1)/26);// 15.02.23
+    if(tmp==0,tmp="",tmp=text(tmp));
+    tmp2=mod(BezierNumber,26);
+    if(tmp2==0,tmp2=26);
+    tmp1=unicode(text(96+tmp2),base->10)+tmp;// 15.03.11
+    tmp2=Putbezierdata(tmp1,ptlist_#,options);
+    Bezier(tmp2,options);
+    BezierNumber=BezierNumber+1;
+    Out=append(Out,tmp2_(1..2));
+  );
+  Out;
+);
+
+Mkbeziercrv(nm,ptctrL):=Mkbeziercrv(nm,ptctrL,[]);
+Mkbeziercrv(nm,ptctrL,options):=(
+ //help:Mkbeziercrv("1",[[A,B,C,D],[[P,Q],[R,S],T]]);
+  regional(ptctrLL,name,ptlist,ctrlist,tmp,tmp1,tmp2);
+  if(MeasureDepth(ptctrL)==2,ptctrLL=[ptctrL],ptctrLL=ptctrL);
+  forall(1..length(ptctrLL),
+    name=nm+text(#);
+    ptlist=ptctrLL_#_1;
+    ctrlist=ptctrLL_#_2;
+    Bezier(name,ptlist,ctrlist,options);
+  );  
+);
+
+Writebezier():=Writebezier(Fhead,"all");
+Writebezier(head):=Writebezier(head,"all");
+Writebezier(head,seL):=(
+//help:Writebezier(file);
+//help:Writebezier(file,"acd");
+  regional(bz,dt,name,tmp,tmp1,tmp2);
+  bz=select(GLIST,indexof(#,"=Bezier")>0);
+  tmp1=[]; // 16.04.22from
+  if(seL!="all",
+    forall(1..length(seL),
+      tmp=substring(seL,#-1,#);
+      tmp=select(bz,indexof(#,"bz"+tmp)>0);
+      tmp1=concat(tmp1,tmp);
+    );
+    bz=tmp1;// 16.04.22upto
+  );
+  dt=[head+"n",[[length(bz),0]]];
+  forall(1..length(bz),
+    tmp=indexof(bz_#,"=");
+    name=substring(bz_#,0,tmp-1);
+    tmp=indexof(bz_#,","+Dq);
+    if(tmp>0,
+      tmp1=substring(bz_#,0,tmp-1)+")";
+    ,
+      tmp1=bz_#;
+    );
+    tmp1=replace(tmp1,"Bezier(","[");
+    tmp1=replace(tmp1,"list(","[");
+    tmp1=replace(tmp1,")","]");
+    tmp1=replace(tmp1,",",".xy,");
+    tmp1=replace(tmp1,"]",".xy]");
+    tmp1=replace(tmp1,".xy,[",",[");
+    tmp1=replace(tmp1,"].xy","]");
+    tmp1=replace(tmp1,name,head+text(#));
+    parse(tmp1);
+    tmp=parse(head+text(#)+"_1");
+    dt=concat(dt,[head+text(#)+"k",tmp]);    
+    tmp=parse(head+text(#)+"_2");
+    dt=concat(dt,[head+text(#)+"c",tmp]);    
+  );
+  WriteOutData(head+".txt",dt);
+  dt;
+);
+
+Readbezier(file):=Readbezier(file,[]);
+Readbezier(file,optionorg):=(
+//help:Readbezier("xsr");
+//help:Readbezier(options=["Num=10","nogeo"]);
+  regional(nn,options,stL,geo,nc,alpha,out,tmp,tmp1,tmp2,tmp3);
+  options=optionorg;
+  tmp=Divoptions(options);
+  stL=tmp_7;
+  geo=0;
+  forall(stL,
+    tmp=Toupper(substring(#,0,1));
+    if(tmp=="G",geo=1);
+    options=remove(options,[#]);
+  );
+  ReadOutData(file);
+  tmp=file+"n_1_1";
+  nn=parse(tmp);
+  out=[];
+  forall(1..nn,nc,
+    tmp=file+text(nc);
+    tmp1=parse(tmp+"k");
+    tmp2=parse(tmp+"c");
+    if(MeasureDepth(tmp2)==1,tmp2=[tmp2]); // 16.04.22from
+	if(geo==1,
+      alpha="abcdefghijklmnopqrstuvwxyz";
+      forall(1..length(tmp1),
+        tmp="k"+BezierNumber+"n"+text(nc)+substring(alpha,#-1,#);
+        Putpoint(tmp,tmp1_#,parse(tmp+".xy"));
+        inspect(parse(tmp),"labeled",false);
+        inspect(parse(tmp),"ptsize",3);
+        tmp1_#=parse(tmp+".xy");
+      );
+      forall(1..length(tmp2),
+        tmp="c"+BezierNumber+"n"+text(nc)+substring(alpha,#-1,#)+"1";
+        Putpoint(tmp,tmp2_#_1,parse(tmp+".xy"));
+        inspect(parse(tmp),"labeled",false);
+        inspect(parse(tmp),"color",4);
+        inspect(parse(tmp),"ptsize",3);
+        tmp2_#_1=parse(tmp+".xy");
+        tmp="c"+BezierNumber+"no"+text(nc)+substring(alpha,#-1,#)+"2";
+        Putpoint(tmp,tmp2_#_2,parse(tmp+".xy"));
+        inspect(parse(tmp),"labeled",false);
+        inspect(parse(tmp),"color",4);
+        inspect(parse(tmp),"ptsize",3);
+        tmp2_#_2=parse(tmp+".xy");
+      );
+      BezierNumber=BezierNumber+1;
+    );
+    Bezier(file+text(nc),tmp1,tmp2,options);// 16.04.22upto
+    out=append(out,"bz"+tmp);
+  );
+  out;
+);
+
+Ospline(nm,ptlist):=Ospline(nm,ptlist,[]);
+Ospline(nm,ptlist,options):=(
+//help:Ospline("1",ptlist,[options]);
+  regional(tmp,tmp1,tmp2,list,ptL,ctrL,name,closed,flg,
+      p0,p1,p2,p3,pQ,pR,cc,p01,p02,p11,p12,p21,p22,p31,p32);
+  name="o"+nm;
+  if(isstring(ptlist),list=parse(ptlist),list=ptlist);
+  if(|list_1-list_(length(list))|<10^(-6),closed=1,closed=0);
+//  list=apply(list,LLcrd(#));
+  ctrL=[];
+  forall(1..(length(list)-1),
+    flg=0;
+    p1=Lcrd(list_#);  // 16.08.16
+    p2=Lcrd(list_(#+1));  // 16.08.16
+    if(#==1 % #==length(list)-1,
+      flg=1;
+      if(closed==0,
+        pQ=(p1+2*p2)/3; // 15.09.21  // 16.08.16
+        pR=(2*p1+p2)/3;  // 16.08.16
+        ctrL=append(ctrL,[pQ,pR]);
+        flg=2;
+      ,
+        if(#==1,
+          p0=Lcrd(list_(length(list)-1));  // 16.08.16
+          p3=Lcrd(list_(#+2));  // 16.08.16
+       ,
+          p0=Lcrd(list_(#-1));  // 16.08.16
+          p3=Lcrd(list_2);  // 16.08.16
+        );
+      );
+    );
+    if(flg<=1,
+      if(flg==0,
+        p0=Lcrd(list_(#-1));  // 16.08.16
+        p3=Lcrd(list_(#+2));  // 16.08.16
+      );
+      tmp=1+sqrt((1+Dotprod(p2-p0,p3-p1)/|p2-p0|/|p3-p1|)/2);
+      cc=4*|p2-p1|/3/(|p2-p0|+|p3-p1|)/tmp;
+      pQ=p1+cc*(p2-p0); // 15.09.21  // 16.08.16
+      pR=p2+cc*(p1-p3);  // 16.08.16
+      ctrL=append(ctrL,[pQ,pR]);
+    );
+  );
+//  list=apply(list,LLcrd(#));  // 16.08.16
+//  ctrL=apply(ctrL,LLcrd(#));
+  if(closed==0,  // 15.09.21
+    p1=ctrL_2_1;
+    p2=Lcrd(list_2);  // 16.08.16
+    pQ=p2+(p2-p1);
+    ctrL_1=[pQ];
+    tmp=length(ctrL);
+    tmp1=ctrL_(tmp-1);
+    p1=ctrL_(tmp-1)_2;
+    p2=Lcrd(list_(tmp));  // 16.08.16
+    pQ=p2+(p2-p1);
+    ctrL_tmp=[pQ];
+  );
+  Bezier("o"+nm,list,ctrL,options);
+);
+  
+CRspline(nm,ptL):=CRspline(nm,ptL,[]);
+CRspline(nm,ptL,options):=(
+  // Catmull-Rom spline
+//help:CRspline("1",[A,B,C,A]);
+  regional(name,ptlist,ctrpts,eqL,opcindy,c,v,tmp,tmp1,tmp2,ctrlist,cflg);
+  name="crsp"+nm;
+  if(MeasureDepth(ptL)==1,tmp=[ptL],tmp=ptL);
+  ptlist=tmp_1;
+  if(length(tmp)==1,
+    cflg=1;
+  ,
+    cflg=0;
+    ctrpts=tmp_2;
+  );
+  c=1/6;
+  tmp=Divoptions(options);
+  eqL=tmp_5;
+  opcindy=tmp_(length(tmp)); // 15.03.05
+  forall(eqL,
+    if(substring(#,0,1)=="R",
+      tmp2=indexof(#,"=");
+      c=parse(substring(#,tmp2,length(#)));
+    );
+  );
+  ptlist=apply(ptlist,Lcrd(#)); // 16.08.16
+  ctrlist=[];
+  forall(1..(length(ptlist)-1),
+    if(#==1,
+      if(cflg==0,
+        tmp1=ctrpts_1;
+      ,
+        v=ptlist_2-ptlist_(length(ptlist)-1);
+        tmp1=ptlist_#+c*v;
+      );
+    ,
+      v=ptlist_(#+1)-ptlist_(#-1);
+      tmp1=ptlist_#+c*v;
+    );
+    if(#==length(ptlist)-1,
+      if(cflg==0,
+        tmp2=ctrpts_2;
+      ,
+        v=ptlist_2-ptlist_#;
+        tmp2=ptlist_(#+1)-c*v;
+      );
+    ,
+      v=ptlist_(#+2)-ptlist_#;
+      tmp2=ptlist_(#+1)-c*v;
+    );
+    tmp=select(options,indexof(text(#),"->")>0);
+    tmp=append(tmp,"notex");  //15.03.05
+	Pointdata(name+text(#),[tmp1,tmp2],tmp);
+    ctrlist=append(ctrlist,[tmp1,tmp2]);
+  );
+  Bezier(nm,ptlist,ctrlist,options);
+);
+
+Beziersmooth(nm,ptL):=Bzspline(nm,ptL,[]);
+//help:Beziersmooth("1",[A,B,C,A]);
+Beziersmooth(nm,ptL,options):=Bzspline(nm,ptL,options);
+Bzspline(nm,ptL):=Bzspline(nm,ptL,[]);
+Bzspline(nm,ptLorg,options):=(
+  // smooth bezier
+  regional(name,Eps,ptL,pt,pt1,pt2,pt3,npt,lstr,
+    tmp,tmp1,tmp2,cflg,ctrlist);
+  name="bzsp"+nm;
+  Eps=10^(-3);
+  ptL=apply(ptLorg,Lcrd(#)); // 16.08.16
+  if(|ptL_1-ptL_(length(ptL))|<Eps,cflg=1,cflg=0);
+  forall(2..length(ptL),
+    pt=ptL_#;
+    pt1=ptL_(#-1);
+    tmp1="C"+text(#-1)+"q";
+    Putpoint(tmp1,(pt1+4*pt)/5,Lcrd(parse(tmp1))); // 16.08.16
+  );
+  forall(2..(length(ptL)-1),
+    if(#<length(ptL) % cflg==1,
+      lstr="c"+text(#);
+      pt=ptLorg_#; // 16.08.16
+      pt1=parse("C"+text(#-1)+"q");
+      create([lstr],"Join",[pt1,pt]);
+      tmp2="C"+text(#)+"p";
+      tmp=Append((2*pt.xy-pt1.xy),1);
+      create([tmp2],"PointOnLine",[parse(lstr),tmp]);
+    );
+  );
+  if(cflg==0,
+    pt=ptL_1;
+    pt1=ptL_2;
+    tmp1="C1p";
+    Putpoint(tmp1,(4*pt+pt1)/5,Lcrd(parse(tmp1))); // 16.08.16
+  );
+  if(cflg==1,
+    lstr="c1";
+    pt=ptLorg_1; // 16.08.16
+    pt1=parse("C"+text(length(ptL)-1)+"q");
+    create([lstr],"Join",[pt1,pt]);
+    tmp1="C1p";
+    tmp=Append((2*pt.xy-pt1.xy),1);
+    create([tmp1],"PointOnLine",[parse(lstr),tmp]);
+  );
+  ctrlist=[];
+  forall(1..(length(ptL)-1),
+    if(#>1 % cflg==1,
+      tmp1="c"+text(#);
+      inspect(parse(tmp1),"alpha",0.3);
+    );
+    tmp1="C"+text(#)+"p";
+    tmp2="C"+text(#)+"q";
+    inspect(parse(tmp1),"ptsize",3);
+    inspect(parse(tmp1),"color",3);
+    inspect(parse(tmp2),"ptsize",3);
+    inspect(parse(tmp2),"color",3);
+    tmp=[parse(tmp1),parse(tmp2)];
+    ctrlist=append(ctrlist,tmp);
+  );
+  Bezier(nm,ptL,ctrlist,options);
+  [ptL,ctrlist];
+);
+
+Beziersym(nm,ptL):=Bzsspline(nm,ptL,[]);
+Beziersym(nm,ptL,options):=Bzsspline(nm,ptL,options);
+Bzsspline(nm,ptL):=Bzsspline(nm,ptL,[]);
+Bzsspline(nm,ptLorg,options):=(
+  // smooth bezier with symmetric control points
+  regional(name,Eps,ptL,pt,pt1,pt2,pt3,npt,lstr,
+    tmp,tmp1,tmp2,cflg,ctrlist);
+  name="bzssp"+nm;
+  Eps=10^(-3);
+  ptL=apply(ptLorg,Lcrd(#)); // 16.08.16
+  if(|ptL_1-ptL_(length(ptL))|<Eps,cflg=1,cflg=0);
+  forall(2..length(ptL),
+    pt=ptL_#;
+    pt1=ptL_(#-1);
+    tmp1="C"+text(#-1)+"q";
+    Putpoint(tmp1,(pt1+4*pt)/5,Lcrd(parse(tmp1)));
+  );
+  forall(2..(length(ptL)-1),
+    if(#<length(ptL) % cflg==1,
+      pt=ptL_#;
+      pt1=parse("C"+text(#-1)+"q");
+      tmp2="C"+text(#)+"p=2*pt-pt1";
+      parse(tmp2);
+    );
+  );
+  if(cflg==0,
+    pt=ptL_1;
+    pt1=ptL_2;
+    Putpoint("C1p",(4*pt+pt1)/5,Lcrd(C1p)); // 16.08.16   
+    inspect(C1p,"ptsize",3);
+    inspect(C1p,"color",3);
+  );
+  if(cflg==1,
+    pt=ptL_1;
+    pt1=Lcrd(parse("C"+text(length(ptL)-1)+"q")); // 16.08.16   
+    tmp1="Putpoint("+Dq+"C1p"+Dq+",2*pt-pt1)"; // 16.08.16   
+    parse(tmp1);
+  );
+  ctrlist=[];
+  forall(1..(length(ptL)-1),
+    tmp1="C"+text(#)+"p";
+    tmp2="C"+text(#)+"q";
+    inspect(parse(tmp2),"ptsize",3);
+    inspect(parse(tmp2),"color",3);
+    tmp=[parse(tmp1),parse(tmp2)];
+    ctrlist=append(ctrlist,tmp);
+  );
+  Bezier(nm,ptL,ctrlist,options);
+  [ptL,ctrlist];
+);
+
+Listbspline2bz(listorg):=(
+  regional(Eps,list,pcl,ptl,ctrl,k);
+  Eps=10^(-3);
+  list=apply(listorg,Lcrd(#)); // 16.08.16
+  k=length(list);
+  if(|list_1-list_k|>Eps,
+    pcl=list;
+    pcl_1=2*list_1-list_2;
+    pcl_k=2*list_k-list_(k-1);
+  ,
+    pcl=concat(list,[list_2]);
+  );
+  ctrl=apply(2..(length(pcl)-1),[pcl_#]);
+  ptl=apply(1..(length(pcl)-1),(pcl_#+pcl_(#+1))/2);
+  [ptl,ctrl];
+);
+
+Bspline(nm,ctrL):=Bspline(nm,ctrL,[]);
+Bspline(nm,ctrL,options):=(
+//help:Bspline("",[A,B,C]);
+  regional(list,tmp);
+  list=Listbspline2bz(ctrL);
+  tmp=BezierCurve("b"+nm,list_1,list_2,options);
+  tmp;
+);
+
+MeetCurve(Crv,Xorg,Yorg):=(
+  regional(Cv,tmp,tmp1,tmp2,X0,Y0,x1,x2,y1,y2,Ylist,Ban,Tate);
+  if(isstring(Crv),Cv=parse(Crv),Cv=Crv);
+  if(MeasureDepth(Cv)==2,Cv=Cv_1);
+  Cv=apply(Cv,LLcrd(#));  // 14.12.18
+  while(length(Cv)==1,
+    Cv=Cv_1;
+  );
+  Cv=apply(Cv,Lcrd(#));
+  tmp1=min(apply(Cv,#_1));
+  tmp2=max(apply(Cv,#_1));
+  if(isstring(Xorg),X0=parse(Xorg),X0=Xorg);
+  if(isstring(Yorg),Y0=parse(Yorg),Y0=Yorg);
+  if(X0<tmp1,
+    X0=tmp1;
+  ,
+    if(X0>tmp2,
+      X0=tmp2;
+    );
+  );
+  tmp1=select(
+    1..(length(Cv)-1),Cv_#_1<=X0 & X0<=Cv_(#+1)_1);
+  tmp2=select(
+    1..(length(Cv)-1),Cv_#_1>=X0 & X0>=Cv_(#+1)_1);
+  tmp2=remove(tmp2,common(tmp2,tmp1));
+  Ban=concat(tmp1,tmp2);
+  Tate=select(Ban,
+    abs(Cv_#_1-Cv_(#+1)_1)<=
+	   10^(-2)*abs(Cv_#_2-Cv_(#+1)_2)
+  );
+  Ban=remove(Ban,Tate);
+  Ylist=[];
+  forall(Ban,
+    tmp=Cv_#;
+    x1=tmp_1; y1=tmp_2;
+    tmp=Cv_(#+1);
+    x2=tmp_1; y2=tmp_2;
+    tmp=((x2-X0)*y1+(X0-x1)*y2)/(x2-x1);
+    Ylist=append(Ylist,tmp);
+  );
+  forall(Tate,
+    tmp=Cv_#;
+    x1=tmp_1; y1=tmp_2;
+    tmp=Cv_(#+1);
+    x2=tmp_1; y2=tmp_2;
+    tmp1=min([y1,y2]);
+    tmp2=max([y1,y2]);
+    if(Y0<tmp1,
+      tmp=tmp1;
+    ,
+      if(Y0>tmp2,
+        tmp=tmp2;
+      ,
+        tmp=Y0;
+      );
+    );
+    Ylist=append(Ylist,tmp);
+  );
+  tmp=sort(Ylist,abs(#_1-Y0));
+  [X0,tmp_1];
+);
+
+PutonLine(name,p1,p2):=PutonLine(name,p1,p2,[]);
+PutonLine(name,p1org,p2org,options):=(
+//help:PutonLine("C","sgAB");
+//help:PutonLine("C",pA,pB);
+  regional(par,p1,p2,dx,dy,tmp,tmp1,tmp2);
+  par=0.5;
+  tmp=Divoptions(options);
+  if(length(tmp_6)>0,
+    par=tmp_6_1;
+  );
+  p1=Lcrd(p1org);//16.10.11from
+  p2=Lcrd(p2org);
+  dx=p2_1-p1_1;
+  dy=p2_2-p1_2;
+  tmp1=(1-par)*p1+par*p2;
+  if(abs(dx)>abs(dy),    
+    tmp=name+".x";
+    tmp2="["+tmp+",dy/dx*("+tmp+"-p1_1)+p1_2]";//16.10.11upto
+    Putpoint(name,tmp1,parse(tmp2));
+  ,
+    if(abs(dy)>0,
+      tmp=name+".y";
+      tmp2="[dx/dy*("+tmp+"-p1.y)+p1_1,"+tmp+"]";
+      Putpoint(name,tmp1,parse(tmp2));
+    ,
+      tmp2=p1;//16.10.11
+      Putpoint(name,tmp1,tmp2);
+    );
+  );
+);
+
+PutonSeg(name,sgstr):=(
+  regional(seg,p1,p2);
+  if(isstring(sgstr),seg=parse(sgstr),seg=sgstr);
+  PutonSeg(name,LLcrd(seg_1),LLcrd(seg_2));
+);
+PutonSeg(name,p1,p2):=PutonSeg(name,p1,p2,[]);
+PutonSeg(name,p1org,p2org,options):=(
+//help:PutonSeg("C","sgAB");
+//help:PutonSeg("C",pA,pB);
+  regional(par,dx,dy,p,tmp,tmp1,tmp2);
+  par=0.5;
+  tmp=Divoptions(options);
+  if(length(tmp_6)>0,
+    par=tmp_6_1;
+  );
+  p1=Lcrd(p1org);//16.10.11from
+  p2=Lcrd(p2org);
+  PutonLine(name,p1,p2,[par]);
+  dx=p2_1-p1_1;
+  dy=p2_2-p1_2;
+  p=parse(name+".xy");
+  p=LLcrd(p);
+  if(abs(dx)>abs(dy) & (p_1-p1_1)*(p_1-p2_1)>0,
+    if(|p-p1|<|p-p2|,
+      parse(name+".xy=Pcrd(p1)");
+    ,
+      parse(name+".xy=Pcrd(p2)");
+    );
+  );
+  if(abs(dx)<abs(dy) & (p_2-p1_2)*(p_2-p2_2)>0,
+    if(|p-p1|<|p-p2|,
+      parse(name+".xy=Pcrd(p1)");
+    ,
+      parse(name+".xy=Pcrd(p2)");//16.10.11upto
+    );
+  );
+);
+
+PutonCurve(pn,crv):=PutonCurve(pn,crv,[]);
+PutonCurve(pn,crv,options):=(
+//help:PutonCurve("A","gr1");
+  regional(Pmt,pstr,optionL,leftlim,rightlim,tmp,tmp1,Flg,Msg);
+  if(!islist(options),optionL=[options],optionL=options);
+  leftlim=XMIN;
+  rightlim=XMAX;
+  Flg=0;
+  Msg="y";
+  forall(optionL,
+    if(isstring(#),  // 16.02.10 from
+      tmp=indexof(#,"=");
+      tmp1=Toupper(substring(#,tmp,tmp+1));
+      if(tmp1=="N", Msg="n"); // 16.02.10 upto
+    ,
+      if(Flg==0,
+        leftlim=#;
+        Flg=Flg+1;
+      ,
+        rightlim=#;
+      );
+    );
+  );
+  Pmt=MeetCurve(crv,leftlim,0);
+  pstr=apply(allpoints(),textformat(#,5)); // 15.04.07
+  if(!contains(pstr,pn),
+    createpoint(pn,Pcrd(Pmt));
+  ,
+    tmp1=parse(pn+".x");
+    if(tmp1< leftlim % tmp1>rightlim,
+      if(tmp1< leftlim,tmp= leftlim, tmp=rightlim);
+      Pmt=MeetCurve(crv,textformat(tmp,5),pn+".y");
+    ,
+      Pmt=MeetCurve(crv,pn+".x",pn+".y");
+    );
+    ptstr=pn+".xy="+textformat(Pcrd(Pmt),5)+";";
+    parse(ptstr);
+  );
+  if(Msg=="y",
+    println("Put "+pn+" on Curve "+text(crv));
+  );
+);
+
+CrossPoint(name,Crv1,Crv2,range):=(
+  regional(Mx1,Mx2,Mx3,tmp,Crs1,Crs2,Crs3,Crs4,df1,df2);
+  Mx1=range_1; Mx2=range_2;
+  repeat(15,
+    Mx3=(Mx1+Mx2)/2;
+    Crs1=MeetCurve(Crv1,Mx1,0);
+    Crs2=MeetCurve(Crv2,Mx1,0);
+    Crs3=MeetCurve(Crv1,Mx3,0);
+    Crs4=MeetCurve(Crv2,Mx3,0);
+    df1=Crs1_2-Crs2_2;
+    df2=Crs3_2-Crs4_2;
+    if((df1>0 & df2>0) % (df1<0 & df2<0),
+      Mx1=Mx3;
+    ,
+      Mx2=Mx3;
+    );
+  );
+  Putpoint(name,Crs1);
+);
+
+Setscaling(sc):=(
+//help:Setscaling(3);
+  SCALEX=1;
+  SCALEY=sc;
+  Com0th("Setscaling("+sc+")");
+  Setwindow("Msg=no");
+);
+
+Tabledatalight(nm,xLst,yLst,rmvL):=Tabledatalight(nm,xLst,yLst,rmvL,[]);
+Tabledatalight(nm,xLst,yLst,rmvL,options):=(
+//help:Tabledatalight("",xLst,yLst,rmvL,[2]);
+  regional(name,upleft,ul,flg,tick,n,m,xsize,ysize,rlist,clist,Tb,
+      tmp,tmp1,tmp2,tmp3,Eps);
+//  name="tb"+nm;
+  name="tb";
+  println("Tabledatalight "+name+" generated");
+  tmp=sum(yLst);
+  upleft=[0,tmp];
+  tick=1;
+  tmp=Divoptions(options);
+  flg=0;
+  forall(tmp_6,
+    if(flg==0,
+      tick=#;
+      flg=flg+1;
+    ,
+      upleft=tmp_6_1;
+    );
+  );
+  ul=upleft/10;
+  m=length(xLst);
+  n=length(yLst);
+  xsize=sum(xLst);
+  ysize=sum(yLst);
+  clist=[ul];
+  rlist=[ul];
+  forall(1..m,
+    tmp1=clist_(#)_1+xLst_#/10;
+    clist=append(clist,[tmp1,clist_1_2]);
+  );
+  forall(1..n,
+    tmp1=rlist_(#)_2-yLst_#/10;
+    rlist=append(rlist,[0,tmp1]);
+  );
+  Tb=[clist,rlist];
+  tmp=name+"="+Tb;
+  parse(tmp);
+  forall(0..m,
+    tmp1="c"+text(#)+"r0";
+    tmp2="c"+text(#)+"r"+text(n);
+    Tlistplot("c"+text(#)+"r0r"+text(n),[tmp1,tmp2],options);
+    if(mod(#,tick)==0 % #==m,
+      tmp=clist_(#+1);
+      drawtext(clist_(#+1)-[0.04,-0.1],"c"+text(#));
+    );
+  );
+  forall(0..n,
+    tmp1="c0r"+text(#);
+    tmp2="c"+text(m)+"r"+text(#);
+    Tlistplot("r"+text(#)+"c0c"+text(m),[tmp1,tmp2],options);
+    if(mod(#,tick)==0 % #==n,
+      tmp=rlist_(#+1);
+      drawtext(rlist_(#+1)-[0.4,0.1],"r"+text(#));
+    );
+  );
+  Tsegrmv(rmvL,options);
+  Addax(0);
+  Eps=10^(-3);
+  tmp1=clist_(length(clist));
+  tmp2=rlist_1;
+  tmp3=rlist_(length(rlist));
+  Setwindow([0-Eps,tmp1_1+Eps],[tmp3_2-Eps,tmp2_2+Eps]);
+  Tb;
+);
+
+Tabledata(nm,n,m,xsize,ysize,rmvL):=
+    Tabledata(nm,n,m,xsize,ysize,rmvL,[]);
+Tabledata(nm,n,m,xsize,ysize,rmvL,options):=(
+  regional(Tb,name,tmp,xLst,yLst);
+  name="tb"+nm;
+  xLst=apply(1..n,xsize/n);
+  yLst=apply(1..m,ysize/m);
+  Tabledata(nm,xLst,yLst,rmvL,options)
+);
+Tabledata(nm,xLst,yLst,rmvL):=Tabledata(nm,xLst,yLst,rmvL,[]);
+Tabledata(nm,xLst,yLst,rmvL,options):=(
+//help:Tabledata("",xLst,yLst,rmvL,[2]);
+  regional(name,upleft,ul,flg,tick,n,m,xsize,ysize,rlist,clist,Tb,
+      tmp,tmp1,tmp2,tmp3,Eps);
+//  name="tb"+nm;
+  name="tb";
+  println("Tabledata "+name+" generated");
+  tmp=sum(yLst);
+  upleft=[0,tmp];
+  tick=1;
+  tmp=Divoptions(options);
+  flg=0;
+  forall(tmp_6,
+    if(flg==0,
+      tick=#;
+      flg=flg+1;
+    ,
+      upleft=tmp_6_1;
+    );
+  );
+  ul=upleft/10;
+  m=length(xLst);
+  n=length(yLst);
+  xsize=sum(xLst);
+  ysize=sum(yLst);
+  clist=[ul];
+  rlist=[ul];
+  forall(1..m,
+    tmp1=clist_(#)_1+xLst_#/10;
+    clist=append(clist,[tmp1,clist_1_2]);
+  );
+  forall(1..n,
+    tmp1=rlist_(#)_2-yLst_#/10;
+    rlist=append(rlist,[0,tmp1]);
+  );
+  Tb=[clist,rlist];
+  tmp=name+"="+Tb;
+  parse(tmp);
+  forall(0..m,
+    tmp="C"+text(#);
+    tmp1="c"+text(#)+"r0";
+    if(#==0,
+      Putpoint(tmp,Tgrid(tmp1));
+    ,
+      Putpoint(tmp,Tgrid(tmp1),[parse(tmp+".x"),C0.y]);
+      clist_(#+1)=parse(tmp+".xy");
+    );
+    inspect(parse(tmp),"ptsize",3);
+    inspect(parse(tmp),"labeled",false);
+    if(mod(#,tick)==0 % #==m,
+      tmp=clist_(#+1);
+      drawtext(clist_(#+1)-[0.04,-0.1],"c"+text(#));
+    );
+  );
+  forall(0..n,
+    tmp="R"+text(#);
+    tmp1="c0r"+text(#);
+    if(#==0,
+      Putpoint(tmp,Tgrid(tmp1));
+    ,
+      Putpoint(tmp,Tgrid(tmp1),[R0.x,parse(tmp+".y")]);
+      rlist_(#+1)=parse(tmp+".xy");
+    );
+    Putpoint(tmp,Tgrid(tmp1),[R0.x,parse(tmp+".y")]);
+    inspect(parse(tmp),"ptsize",3);
+    inspect(parse(tmp),"labeled",false);
+    if(mod(#,tick)==0 % #==n,
+      tmp=rlist_(#+1);
+      drawtext(rlist_(#+1)-[0.4,0.1],"r"+text(#));
+    );
+  );
+  Tb=[clist,rlist];
+  tmp=name+"="+Tb;
+  parse(tmp);
+  forall(0..m,
+    tmp1="c"+text(#)+"r0";
+    tmp2="c"+text(#)+"r"+text(n);
+    Tlistplot("c"+text(#)+"r0r"+text(n),[tmp1,tmp2],options);
+    if(#<m,
+      tmp1=parse("C"+text(#));
+      tmp2=parse("C"+text(#+1));
+      tmp=(tmp1.xy+tmp2.xy)/2;
+      drawtext(tmp+[-0.2,0.5],text((tmp2.x-tmp1.x)*10));
+    );
+  );
+  forall(0..n,
+    tmp1="c0r"+text(#);
+    tmp2="c"+text(m)+"r"+text(#);
+    Tlistplot("r"+text(#)+"c0c"+text(m),[tmp1,tmp2],options);
+    if(#<n,
+      tmp1=parse("R"+text(#));
+      tmp2=parse("R"+text(#+1));
+      tmp=(tmp1.xy+tmp2.xy)/2;
+      drawtext(tmp-[1.2,0.1],text(abs(tmp1.y-tmp2.y)*10));
+    );
+  );
+  Tsegrmv(rmvL,options);
+  Addax(0);
+  Eps=10^(-3);
+  tmp1=clist_(length(clist));
+  tmp2=rlist_1;
+  tmp3=rlist_(length(rlist));  // 15.06.11
+  Setwindow([0-Eps,tmp1_1+Eps],[tmp3_2-Eps,tmp2_2+Eps]);
+  Tb;
+);
+
+Tseginfo(seg):=(
+  regional(cr,tp,tpc,n1,n2,n3,tmp,tmp1,tmp2);
+  if(substring(seg,0,2)=="sg",
+    cr=substring(seg,2,length(seg));
+  ,
+    cr=seg;
+  );
+  tp=substring(cr,0,1);
+  if(tp=="c",
+    tpc="r";
+  ,
+    tpc="c";
+  );
+  tmp1=indexof(cr,tpc);
+  tmp=substring(cr,tmp1,length(cr));
+  tmp2=tmp1+indexof(tmp,tpc);
+  n1=substring(cr,1,tmp1-1);
+  n2=substring(cr,tmp1,tmp2-1);
+  n3=substring(cr,tmp2,length(cr));
+  [tp+n1,tpc,parse(n2),parse(n3)];
+);
+
+Tsegrmv(rmvL):=Tsegrmv(rmvL,[]);
+Tsegrmv(rmvL,options):=(
+  regional(cr,gcL,flg,gc,hd,tail,tpc,m1,m2,n1,n2,tmp,tmp1,tmp2);
+  forall(rmvL,cr,
+    tmp1=Tseginfo(cr);
+    hd=tmp1_1;
+    tpc=tmp1_2;
+    m1=tmp1_3;
+    m2=tmp1_4;
+    gcL=select(GCLIST,Tseginfo(#_1)_1==tmp1_1);
+    flg=0;
+    forall(gcL,
+      if(flg==0,
+        tmp=Tseginfo(#_1);
+        n1=tmp_3;
+        n2=tmp_4;
+        if(m1>=n1 & m2<=n2,
+          gc=#;
+          flg=1;
+        );
+      );
+    );
+    if(flg==1,
+      Changestyle([gc_1],["nodisp"]);
+      tail="";
+      if(indexof(hd,"r")>0,
+        tail=hd; hd="";
+      );
+      if(n1<m1,
+        tmp1=tpc+text(n1);
+        tmp2=tpc+text(m1);
+        tmp=hd+tail+tmp1+tmp2;
+        Tlistplot(tmp,[hd+tmp1+tail,hd+tmp2+tail],options);
+      );
+      if(m2<n2,
+        tmp1=tpc+text(m2);
+        tmp2=tpc+text(n2);
+        tmp=hd+tail+tmp1+tmp2;
+        Tlistplot(tmp,[hd+tmp1+tail,hd+tmp2+tail],options);
+      );
+    );
+  );
+);
+
+Tgrid(ptstr):=(
+//help:Tgrid("c2r5");
+  regional(tmp,tmp1,tmp2);
+  tmp=parse(ptstr);
+  if(islist(tmp),
+    tmp;
+  ,
+    tmp=indexof(ptstr,"r");
+    tmp1=substring(ptstr,1,tmp-1);
+    tmp1=parse(tmp1);
+    tmp2=substring(ptstr,tmp,length(ptstr));
+    tmp2=parse(tmp2);
+    [tb_1_(tmp1+1)_1,tb_2_(tmp2+1)_2];
+  );
+);
+
+Tlistplot(ptL):=Tlistplot(ptL,[]);
+Tlistplot(Ag1,Ag2):=(
+  regional(nm,ptL,options);
+  if(isstring(Ag1),
+    nm=Ag1;
+    ptL=Ag2;
+    options=[];
+  ,
+    ptL=Ag1;
+    options=Ag2;
+    nm=ptL_1+ptL_2;
+  );
+  Tlistplot(nm,ptL,options);
+);
+Tlistplot(nm,ptL,options):=(
+//help:Tlistplot(["c0r0","c0r4"]);
+//help:Tlistplot("1",["c0r0","c0r4"]);
+  regional(tmp);
+  tmp=apply(ptL,Tgrid(#)); // 15.06.03
+  Listplot(nm,tmp,append(options,"Msg=no"));
+);
+
+ChangeTablestyle(nameL,style):=(
+////help:ChangeTablestyle(["r0c0c3"],["da"]);
+  regional(nmL,tmp,tmp1,tmp2);
+  if(islist(nameL),nmL=nameL,nmL=[nameL]);
+  nmL=apply(nmL,"sg"+#);
+  nmL=select(nmL,islist(parse(#)));
+  Changestyle(nmL,style);
+);
+
+Findcell(pos1,pos2):=Findcell("",pos1,pos2);
+Findcell(Tbdata,pos1,pos2):=(
+//help:Findcell("c0r0","c2r1");
+  regional(tmp1,tmp2,posnw,posse,ctr,dx,dy);
+  if(isstring(pos1),
+    posnw=Tgrid(pos1); // 15.05.20
+    posse=Tgrid(pos2);	
+    //posnw=parse(pos1);
+    //posse=parse(pos2);
+  ,
+    if(islist(pos1),
+      posnw=pos1;
+      posse=pos2;
+    ,
+      tmp1="c"+text(pos1-1)+"r"+text(pos2-1);
+      tmp2="c"+text(pos1)+"r"+text(pos2);
+      posnw=Tgrid(tmp1);
+      posse=Tgrid(tmp2);
+//      posnw=parse(tmp1);
+//      posse=parse(tmp2);
+    );
+  );
+  ctr=(posnw+posse)/2;
+  dx=abs(posse_1-ctr_1);
+  dy=abs(posnw_2-ctr_2);
+  [ctr,dx,dy];
+);
+
+Putcell(pos1,pos2,dir,lttr):=Putcell("",pos1,pos2,dir,lttr);
+Putcell(Tbdata,pos1,pos2,dir,lttr):=(
+//help:Putcell("c0r0","c2r1","lt","abc");
+//help:Putcell(2,3,"c","xyz");
+  regional(tmp,tmp1,tmp2,posnw,posse,
+     posdir,posstr,ctr,dx,dy);
+  tmp=Findcell(Tbdata,pos1,pos2);
+  ctr=tmp_1; dx=tmp_2; dy=tmp_3;
+  posdir=ctr;
+  posstr=dir;
+  if(indexof(dir,"b")>0,
+    posdir_2=posdir_2-dy;
+    posstr=replace(posstr,"b","n");
+  );
+  if(indexof(dir,"t")>0,
+    posdir_2=posdir_2+dy;
+    posstr=replace(posstr,"t","s");
+  );
+  if(indexof(dir,"l")>0,
+    posdir_1=posdir_1-dx;
+    posstr=replace(posstr,"l","e");
+  );
+  if(indexof(dir,"r")>0,
+    posdir_1=posdir_1+dx;
+    posstr=replace(posstr,"r","w");
+  );
+  Letter(posdir,posstr,text(lttr));
+);
+
+Putcellexpr(pos1,pos2,dir,ex):=Putcellexpr("",pos1,pos2,dir,ex);
+Putcellexpr(Tbdata,pos1,pos2,dir,ex):=(
+//help:Putcellexpr("c0r0","c2r1","lt","abc");
+//help:Putcellexpr(2,3,"c","\sin x");
+  Putcell(Tbdata,pos1,pos2,dir,"$"+text(ex)+"$");
+);
+
+Putrow(nrow,dir,lttrL):=Putrow("",nrow,dir,lttrL);
+Putrow(Tbdata,nrow,dir,lttrL):=(
+//help:Putrow(1,"c",["x","y","z"]);
+  regional(tmp,tmp1,mcol);
+  mcol=length(lttrL);
+  forall(1..mcol,
+    Putcell(Tbdata,#,nrow,dir,lttrL_#);
+  );
+);
+
+Putrowexpr(nrow,dir,exL):=Putrowexpr("",nrow,dir,exL);
+Putrowexpr(Tbdata,nrow,dir,exL):=(
+//help:Putrowexpr(2,"r",["x","y","z"]);
+  regional(lttrL);
+  lttrL=apply(exL,"$"+#+"$");
+  Putrow(Tbdata,nrow,dir,lttrL);
+);
+
+PutcoL(mcol,dir,lttrL):=PutcoL("",mcol,dir,lttrL);
+PutcoL(Tbdata,mcol,dir,lttrL):=(
+//help:PutcoL(1,"c",["x","y","z"]);
+  regional(tmp,tmp1,nrow);
+  nrow=length(lttrL);
+  forall(1..nrow,
+    Putcell(Tbdata,mcol,#,dir,lttrL_#);
+  );
+);
+PutcoLexpr(mcol,dir,exL):=PutcoLexpr("",mcol,dir,exL);
+PutcoLexpr(Tbdata,mcol,dir,exL):=(
+//help:PutcoLexpr(2,"r",["x","y","z"]);
+  regional(lttrL);
+  lttrL=apply(exL,"$"+#+"$");
+  PutcoL(Tbdata,mcol,dir,lttrL);
+);
+
+Setwindow():=Setwindow("Msg=yes");
+Setwindow(str):=(
+  regional(tmp,tmp1,tmp2,msg);
+  msg="y";
+  tmp=indexof(str,"="); // 16.02.10
+  tmp1=Toupper(substring(str,tmp,tmp+1));
+  if(tmp1=="N",msg="n");
+  if((ispoint(SW) & ispoint(NE)),
+    tmp1=Lcrd(SW);
+    tmp2=Lcrd(NE);
+    XMIN=tmp1_1; XMAX=tmp2_1;
+    YMIN=tmp1_2; YMAX=tmp2_2;
+  ,
+//    XMIN=-5; XMAX=5;
+//    YMIN=Lcrdy(-5); YMAX=Lcrdy(5);
+    createpoint("SW",Pcrd([XMIN,YMIN]));
+    createpoint("NE", Pcrd([XMAX,YMAX]));
+  );
+  if(msg=="y",
+    println("Setwindow(["+XMIN+","+XMAX+"],["+YMIN+","+YMAX+"])");
+  );
+  layer(KETPICLAYER);
+  autoclearlayer(KETPICLAYER,true);
+  drawpoly([Pcrd([XMIN,YMIN]), Pcrd([XMAX,YMIN]),
+        Pcrd([XMAX,YMAX]),Pcrd([XMIN,YMAX])],color->[1,1,1]);
+);
+Setwindow(xrange,yrange):=(
+//help:Setwindow([2,3],[-1,1]);
+  XMIN=xrange_1;
+  XMAX=xrange_2;
+  YMIN=yrange_1;
+  YMAX=yrange_2;
+//  Setwindow();
+);
+
+Sciform(list):=(
+  regional(plotlist,comp,pos,out,out2,nn,strL,flg,
+    tmp,tmp1,tmp2,tmp3,Nj);
+  plotlist=Flatten([list]);
+  out=replace(plotlist_1,".xy","");
+  out=replace(out,".x","(1)");
+  out=replace(out,".y","(2)");
+  if(length(plotlist)==1,
+    comp=[];
+    forall(1..length(out),
+       comp=append(comp,substring(out,#-1,#));
+    );
+    out="";
+    pos=0;
+    forall(comp,
+      if(#!="'",
+        out=out+#;
+      ,
+        if(pos==0,
+          tmp=indexof(out,"Assign(");
+          if(substring(out,length(out)-7,length(out))=="Assign(",
+            out=out+"'";
+            pos=1;
+          ,
+            out=out+"Assign('";
+            pos=2;
+          );
+        ,
+          if(pos==2,
+            out=out+"')";
+          , 
+            out=out+"'";
+          );
+          pos=0;
+        );
+      );
+    );    
+  ,
+    forall(2..length(plotlist),
+      comp=plotlist_#;
+      if(isstring(comp),
+        pos=indexof(comp,"Assign(");
+        if(pos>0,
+          comp=substring(comp,6,length(comp));
+        );
+        out=out+"Assign(";
+        comp=replace(comp,".xy","");
+        comp=replace(comp,".x","(1)");
+        comp=replace(comp,".y","(2)");
+        out=out+"'"+comp+"'";
+        out=out+"),";
+      );
+      if(islist(comp),
+        forall(comp,
+          out=out+"'"+#+"',";
+        );
+      );
+    );
+    if(length(plotlist)>1,
+      out=substring(out,0,length(out)-1);
+      out=out+");";
+    );
+  );
+  pos=[];
+  forall(1..length(out),
+    tmp=indexof(substring(out,#-1,length(out)),"Assign");
+    if(tmp>0,
+      tmp1=#-1+tmp;
+      if(length(pos)==0,
+        pos=[tmp1];
+      ,
+        if(pos_(length(pos))<tmp1,
+          pos=append(pos,tmp1);
+        );
+      );
+    );
+  );
+  if(length(pos)>0,
+    strL=[];
+    Nj=0;
+    forall(pos,
+      tmp=substring(out,Nj,#-1);
+      strL=append(strL,tmp);
+      Nj=#-1;
+    );
+    strL=append(strL,substring(out,Nj,length(out)));
+    out="";
+    forall(strL,
+      if(indexof(#,"Assign")==0,
+        out=out+#;
+      ,
+        tmp=indexof(#,"('");
+        tmp1=indexof(#,"')");
+        tmp2=substring(#,tmp+1,tmp1-2);
+        tmp3=substring(#,tmp1-2,length(#));
+        if(indexof(tmp2,"=")==0,
+          out=out+#;
+        ,
+          tmp=substring(tmp2,0,indexof(tmp2,"="));
+          out=out+"'"+tmp+"'+"+"Assign('";
+          tmp=substring(tmp2,indexof(tmp2,"="),length(tmp2));
+          out=out+tmp+tmp3;
+        );
+      );
+    );
+  );
+  out2="";   // patched 16.01.21 from
+  nn=length(out);
+  flg=0;
+  forall(1..nn,
+    if(flg==0,
+      tmp=indexof(out,"='+Assign('");
+      if(tmp==0,
+        out2=out2+out;
+        flg=1;
+      ,
+        out2=out2+substring(out,0,tmp);
+        out=substring(out,tmp+10,length(out));
+        tmp=indexof(out,"'"); // 16.04.19 from
+        tmp1=substring(out,0,tmp-1);
+        tmp2="1234567890";
+        tmp=apply(1..length(tmp1),
+            indexof(tmp2,substring(tmp1,#-1,#)));
+        tmp=min(tmp);
+        if(tmp==0,  // 16.04.19 upto
+          out2=out2+"'+Assign('";
+        ,
+          tmp=indexof(out,"'");
+          out=substring(out,0,tmp)+substring(out,tmp+1,length(out)); // 16.04.18 upto
+        );
+      );
+    );
+  );
+  out2=replace(out2,"Dist=","D=");
+  out2=replace(out2,"Dis=","D=");
+  out2;
+);
+
+
+Rform(list):=(
+  regional(plotlist,comp,pos,out,strL,tmp,tmp1,tmp2,tmp3,Nj);
+  out=list;
+  out=replace(out,"[[[","list([[");
+  out=replace(out,"[","c(");
+  out=replace(out,"]",")");
+  out=replace(out,".xy","");
+  out=replace(out,".x","[1]");
+  out=replace(out,".y","[2]");
+  out;
+);
+
+Defvar(varstr):=(
+  regional(name,value,tmp,tmp1);
+  parse(varstr);
+  tmp=indexof(varstr,"=");
+  name=substring(varstr,0,tmp-1);
+  value=substring(varstr,tmp,length(varstr));
+  value=parse(value);
+  tmp1=select(1..length(VLIST),VLIST_#_1==name+"=");
+  if(length(tmp1)>0,
+    tmp=tmp1_1;
+    VLIST_tmp=[name+"=",value];
+  ,
+    VLIST=prepend([name+"=",value],VLIST);
+  );  
+);
+
+Defvar(name,value):=(
+//help:Defvar("a",0.3);
+  regional(tmp,tmp1);
+  if(islist(value),
+    tmp1="[";
+    forall(value,
+      tmp1=tmp1+format(#,5)+",";
+    );
+    tmp1=substring(tmp1,0,length(tmp1)-1)+"]";
+  ,
+    tmp1=format(value,5);
+  );
+  tmp=name+"="+tmp1; // 15.02.06
+  parse(tmp);
+  VLIST=select(VLIST,#_1!=name+"="); // 15.02.08
+  VLIST=prepend([name+"=",value],VLIST);
+);
+
+Iftosci(strorg):=( // 16.06.10
+  regional(str,ifL,ppL,cpL,kk,sL,
+    tmp,tmp1,tmp2,tmp3,tmp4);
+  str=replace(strorg,LFmark,"");
+  ifL=Indexall(str,"if(");
+  ppL=Bracket(str,"()");
+  cpL=Indexall(str,",");
+  tmp1=Bracket(str,"[]");
+  forall(1..(length(tmp1)/2),kk,
+    cpL=select(cpL,#<tmp1_(2*kk-1)_1%#_1>tmp1_(2*kk)_1);
+  );
+  forall(1..length(ifL),kk,
+    tmp=select(ppL,#_1>ifL_kk);
+    tmp1=tmp_1;
+    tmp2=select(tmp,#_2==-tmp1_2);
+    tmp2=tmp2_1;
+    tmp3=select(cpL,#>tmp1_1 & #<tmp2_1);
+    ifL_kk=[tmp1_1,tmp2_1,tmp1_2,tmp3];
+  );
+  forall(1..length(cpL),kk,
+    tmp=select(1..length(ifL),contains(ifL_#_4,cpL_kk));
+    tmp1=tmp_(length(tmp));
+    cpL_kk=[cpL_kk,tmp1];
+  );
+  sL=apply(1..length(str),substring(str,#-1,#));
+  forall(1..length(ifL),kk,
+    tmp1=ifL_kk_1;
+    tmp2=ifL_kk_2;
+    tmp=select(cpL,#_2==kk);
+    tmp3=apply(tmp,#_1);
+    sL_tmp1=" ";
+    sL_tmp2=";end;";
+    sL_(tmp3_1)=" then,";
+    if(length(tmp3)>1,
+      sL_(tmp3_2)=";else,";
+    );
+  );
+  tmp=sum(sL);
+);
+
+Fortosci(strorg):=(
+  regional(str,jj,var,tmp,tmp1,tmp2,tmp3,tmp4,
+    Out,repL,Pflg,Iflg,Cflg);
+  str=strorg;
+  repL=[];
+  tmp1=Indexall(str,"forall");
+  tmp2=Indexall(str,",");
+  forall(1..length(tmp1),jj,
+    tmp=select(tmp2,#>tmp1_jj);
+    var=substring(str,tmp_1,tmp_2-1);
+    tmp3=substring(str,tmp1_jj-1,tmp_2-1);
+    tmp=indexof(tmp3,"(");
+    tmp4=substring(tmp3,tmp,length(tmp3));
+    tmp=indexof(tmp4,",");
+    tmp4=substring(tmp4,0,tmp-1);
+    tmp4="for "+var+"="+tmp4;
+    tmp4=replace(tmp4,"..",":");
+    repL=concat(repL,[tmp3,tmp4]);
+  );
+  forall(1..length(repL)/2,
+    str=replace(str,repL_(2*#-1),repL_(2*#));
+  );
+  tmp=Bracket(str);
+  tmp=select(tmp,#_2==0);
+  tmp=tmp_1_1;
+  tmp1=substring(str,tmp-1,length(str));
+  tmp1=replace(tmp1,")",";end");
+  str=substring(str,0,tmp-1)+tmp1;
+  str=replace(str,";;",";");
+  str;
+);
+
+Deffun(name,bodylist):=(
+//help:Deffun("f(x)",["regional(y)","y=x^2*(x-3)","y"]); // 16.02.18
+  regional(funstr,tmp,tmp1,str,Pos);
+  funstr=name+":=(";
+  forall(bodylist,
+    funstr=funstr+#+";";
+  );
+  funstr=funstr+");";
+  parse(funstr);
+  tmp=bodylist_(length(bodylist));
+  str="function "+tmp+"="+name+",";
+  forall(1..(length(bodylist)-1),
+    tmp1=bodylist_#;
+    tmp1=replace(tmp1,LFmark,"");// 16.05.26
+    tmp1=replace(tmp1," ","");// 16.05.26
+    Pos=indexof(tmp1,"regional")+indexof(tmp1,"local");
+    if(Pos==0,
+      tmp=replace(tmp1,".xy","");
+      tmp=replace(tmp,".x","(1)");
+      tmp=replace(tmp,".y","(2)");
+      if(indexof(tmp,"if(")>0,
+        tmp=iftosci(tmp);
+      );
+      if(indexof(tmp,"forall(")>0, // 16.05.26from
+        tmp=Fortosci(tmp);
+      ); // 16.05.26upto
+      str=str+tmp+",";
+    );
+  );
+  str=str+"endfunction;";
+  FUNLIST=append(FUNLIST,str);
+);
+
+Windispg():=(
+  regional(Nj,Nk,Dt,Vj,tmp,tmp1,tmp2,tmp3,opcindy);
+  gsave();
+  layer(KETPIClayer);
+  forall(GCLIST,Nj,
+    if(isstring(Nj_1),Dt=parse(Nj_1),Dt=Nj_1);  // 11.17
+    if(islist(Dt) & length(Dt)>0,  // 12.19,12.22
+      tmp=MeasureDepth(Dt);
+      if(tmp==1,Dt=[Dt]);
+      opcindy=Nj_3;
+      if(Nj_2<0,tmp1=0,tmp1=Nj_2);
+      if(tmp1<10,
+        forall(Dt,Nk,
+//        tmp2=apply(Nk,if(ispoint(#),Lcrd(#),#));
+//        tmp2=apply(tmp2,Pcrd(#));
+          tmp2=Nk;    // 14.12.04
+          if(length(Nk)>1,
+		    forall(2..length(Nk),
+			  tmp3=textformat(Nk_[#-1,#],5);
+			  tmp3=substring(tmp3,1,length(tmp3)-1);
+              if(tmp1==1,opcindy=opcindy+",dashpattern->[2,2]");
+              tmp="draw("+tmp3+
+               ",dashtype->"+text(tmp1)+",linecolor->"+KCOLOR+opcindy+")";
+              parse(tmp);
+            );
+          ,
+            if(length(Nk)==1,
+              tmp="draw("+text(tmp2_1)+opcindy+")"; // 14.12.31
+              parse(tmp);
+            );
+          );
+        );
+      );
+    );
+  );
+//  if(ADDAXES=="1", // 16.10.08from
+//    draw([XMIN,0],[XMAX,0],color->[0,0.2,0]);
+//    draw([0,YMIIN],[0,YMAX],color->[0,0.2,0]);
+//    Letter([[XMAX,0],"e","x",[0,YMAX],"n","y"]);
+//    Letter([[0,0],"sw","O"]);
+//  ); // 16.10.08upto
+  grestore(); 
+  layer(0);
+);
diff --git a/Master/texmf-dist/doc/support/ketcindy/ketmanual/KeTCindyReferenceJ.pdf b/Master/texmf-dist/doc/support/ketcindy/ketmanual/KeTCindyReferenceJ.pdf
new file mode 100644
index 00000000000..0edfbc97a64
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/ketmanual/KeTCindyReferenceJ.pdf
diff --git a/Master/texmf-dist/doc/support/ketcindy/ketmanual/helpbuttonJ.pdf b/Master/texmf-dist/doc/support/ketcindy/ketmanual/helpbuttonJ.pdf
new file mode 100644
index 00000000000..a05f7ab6f93
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/ketmanual/helpbuttonJ.pdf
diff --git a/Master/texmf-dist/doc/support/ketcindy/ketmanual/helpbuttonsE.pdf b/Master/texmf-dist/doc/support/ketcindy/ketmanual/helpbuttonsE.pdf
new file mode 100644
index 00000000000..c2f6c833612
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/ketmanual/helpbuttonsE.pdf
diff --git a/Master/texmf-dist/doc/support/ketcindy/ketmanual/helplist3dJ.pdf b/Master/texmf-dist/doc/support/ketcindy/ketmanual/helplist3dJ.pdf
new file mode 100644
index 00000000000..44323de1312
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/ketmanual/helplist3dJ.pdf
diff --git a/Master/texmf-dist/doc/support/ketcindy/ketmanual/helplistJ.pdf b/Master/texmf-dist/doc/support/ketcindy/ketmanual/helplistJ.pdf
new file mode 100644
index 00000000000..1023e95678d
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/ketmanual/helplistJ.pdf
diff --git a/Master/texmf-dist/doc/support/ketcindy/ketmanual/referenceR4_3_1_ltd.pdf b/Master/texmf-dist/doc/support/ketcindy/ketmanual/referenceR4_3_1_ltd.pdf
new file mode 100644
index 00000000000..d1f93e90a04
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/ketmanual/referenceR4_3_1_ltd.pdf
diff --git a/Master/texmf-dist/doc/support/ketcindy/ketmanual/refketlayer20161211J.pdf b/Master/texmf-dist/doc/support/ketcindy/ketmanual/refketlayer20161211J.pdf
new file mode 100644
index 00000000000..ca3740c8dd2
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/ketmanual/refketlayer20161211J.pdf
diff --git a/Master/texmf-dist/doc/support/ketcindy/ketmanual/refketpic161211J.pdf b/Master/texmf-dist/doc/support/ketcindy/ketmanual/refketpic161211J.pdf
new file mode 100644
index 00000000000..f108f7e7d0b
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/ketmanual/refketpic161211J.pdf
diff --git a/Master/texmf-dist/doc/support/ketcindy/ketmanual/refketslide161211J.pdf b/Master/texmf-dist/doc/support/ketcindy/ketmanual/refketslide161211J.pdf
new file mode 100644
index 00000000000..50cc2f36cff
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/ketmanual/refketslide161211J.pdf
diff --git a/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s01figure/s0101figure.cdy b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s01figure/s0101figure.cdy
new file mode 100644
index 00000000000..23b2ec4aa50
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s01figure/s0101figure.cdy
diff --git a/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s01figure/s0101figurepdf.cdy b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s01figure/s0101figurepdf.cdy
new file mode 100644
index 00000000000..0ce178ecd78
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s01figure/s0101figurepdf.cdy
diff --git a/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s01figure/s0102figure2.cdy b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s01figure/s0102figure2.cdy
new file mode 100644
index 00000000000..7c5f4f7c67a
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s01figure/s0102figure2.cdy
diff --git a/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s01figure/s0103polygon.cdy b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s01figure/s0103polygon.cdy
new file mode 100644
index 00000000000..adb3f4523d1
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s01figure/s0103polygon.cdy
diff --git a/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s01figure/s0104shade.cdy b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s01figure/s0104shade.cdy
new file mode 100644
index 00000000000..13c7b8a4147
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s01figure/s0104shade.cdy
diff --git a/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s01figure/s0105vector.cdy b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s01figure/s0105vector.cdy
new file mode 100644
index 00000000000..d928672b4ca
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s01figure/s0105vector.cdy
diff --git a/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s01figure/s0106bowdotfill.cdy b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s01figure/s0106bowdotfill.cdy
new file mode 100644
index 00000000000..1723fe89ba9
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s01figure/s0106bowdotfill.cdy
diff --git a/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s01figure/s0106bowhatch.cdy b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s01figure/s0106bowhatch.cdy
new file mode 100644
index 00000000000..459feeac48a
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s01figure/s0106bowhatch.cdy
diff --git a/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s01figure/s0107hyperbolahatch.cdy b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s01figure/s0107hyperbolahatch.cdy
new file mode 100644
index 00000000000..cd2cb8e44d3
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s01figure/s0107hyperbolahatch.cdy
diff --git a/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s01figure/s0108cycloid.cdy b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s01figure/s0108cycloid.cdy
new file mode 100644
index 00000000000..6c5668e54b8
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s01figure/s0108cycloid.cdy
diff --git a/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s01figure/s0109epitrochoid.cdy b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s01figure/s0109epitrochoid.cdy
new file mode 100644
index 00000000000..22995717144
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s01figure/s0109epitrochoid.cdy
diff --git a/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s01figure/s0110hypotrochoid.cdy b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s01figure/s0110hypotrochoid.cdy
new file mode 100644
index 00000000000..ce4cc21dda6
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s01figure/s0110hypotrochoid.cdy
diff --git a/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s02graph/s0201basic.cdy b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s02graph/s0201basic.cdy
new file mode 100644
index 00000000000..375e477f0ff
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s02graph/s0201basic.cdy
diff --git a/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s02graph/s0202graph1.cdy b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s02graph/s0202graph1.cdy
new file mode 100644
index 00000000000..fb5f231c90b
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s02graph/s0202graph1.cdy
diff --git a/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s02graph/s0203graph2.cdy b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s02graph/s0203graph2.cdy
new file mode 100644
index 00000000000..577cd958a8c
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s02graph/s0203graph2.cdy
diff --git a/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s02graph/s0204graph3.cdy b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s02graph/s0204graph3.cdy
new file mode 100644
index 00000000000..274c96637ac
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s02graph/s0204graph3.cdy
diff --git a/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s02graph/s0205coniccurve.cdy b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s02graph/s0205coniccurve.cdy
new file mode 100644
index 00000000000..f07f094a49f
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s02graph/s0205coniccurve.cdy
diff --git a/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s02graph/s0206defexp.cdy b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s02graph/s0206defexp.cdy
new file mode 100644
index 00000000000..3aabbc4844e
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s02graph/s0206defexp.cdy
diff --git a/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s02graph/s0207envelope.cdy b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s02graph/s0207envelope.cdy
new file mode 100644
index 00000000000..4f3f48b0a93
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s02graph/s0207envelope.cdy
diff --git a/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s02graph/s0208intersecthatch.cdy b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s02graph/s0208intersecthatch.cdy
new file mode 100644
index 00000000000..866e0cacbfb
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s02graph/s0208intersecthatch.cdy
diff --git a/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s02graph/s0209diffeq.cdy b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s02graph/s0209diffeq.cdy
new file mode 100644
index 00000000000..5ef84953657
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s02graph/s0209diffeq.cdy
diff --git a/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s02graph/s0210diffeq2.cdy b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s02graph/s0210diffeq2.cdy
new file mode 100644
index 00000000000..df2280441e0
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s02graph/s0210diffeq2.cdy
diff --git a/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s02graph/s0211plotdataS.cdy b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s02graph/s0211plotdataS.cdy
new file mode 100644
index 00000000000..dba596a3136
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s02graph/s0211plotdataS.cdy
diff --git a/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s02graph/s0212implicit.cdy b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s02graph/s0212implicit.cdy
new file mode 100644
index 00000000000..3ad386c75b9
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s02graph/s0212implicit.cdy
diff --git a/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s02graph/s0213implicithatch.cdy b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s02graph/s0213implicithatch.cdy
new file mode 100644
index 00000000000..c118ca94b63
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s02graph/s0213implicithatch.cdy
diff --git a/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s03table/s0301table.cdy b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s03table/s0301table.cdy
new file mode 100644
index 00000000000..edbd6159f57
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s03table/s0301table.cdy
diff --git a/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s03table/s0302table2.cdy b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s03table/s0302table2.cdy
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--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s03table/s0302table2.cdy
diff --git a/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s03table/s0302table2line.cdy b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s03table/s0302table2line.cdy
new file mode 100644
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--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s03table/s0302table2line.cdy
diff --git a/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s03table/s0303papersquared.cdy b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s03table/s0303papersquared.cdy
new file mode 100644
index 00000000000..1a127585329
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s03table/s0303papersquared.cdy
diff --git a/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s03table/s0304graphforincanddec.cdy b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s03table/s0304graphforincanddec.cdy
new file mode 100644
index 00000000000..f46a2a29657
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s03table/s0304graphforincanddec.cdy
diff --git a/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s03table/s0305incanddec.cdy b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s03table/s0305incanddec.cdy
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index 00000000000..bc9c08cb2c2
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s03table/s0305incanddec.cdy
diff --git a/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s04bezier/dogwalk.png b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s04bezier/dogwalk.png
new file mode 100644
index 00000000000..4cb91fa046b
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s04bezier/dogwalk.png
diff --git a/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s04bezier/heart.png b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s04bezier/heart.png
new file mode 100644
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--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s04bezier/heart.png
diff --git a/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s04bezier/mtfuji.png b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s04bezier/mtfuji.png
new file mode 100644
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--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s04bezier/mtfuji.png
diff --git a/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s04bezier/s0401bezierbasic.cdy b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s04bezier/s0401bezierbasic.cdy
new file mode 100644
index 00000000000..9b74b35e4eb
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s04bezier/s0401bezierbasic.cdy
diff --git a/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s04bezier/s0402bezier2.cdy b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s04bezier/s0402bezier2.cdy
new file mode 100644
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--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s04bezier/s0402bezier2.cdy
diff --git a/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s04bezier/s0403bezierspline.cdy b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s04bezier/s0403bezierspline.cdy
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--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s04bezier/s0403bezierspline.cdy
diff --git a/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s04bezier/s0404heart.cdy b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s04bezier/s0404heart.cdy
new file mode 100644
index 00000000000..cde6c433f84
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s04bezier/s0404heart.cdy
diff --git a/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s04bezier/s0405dogwalk.cdy b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s04bezier/s0405dogwalk.cdy
new file mode 100644
index 00000000000..06bb52f8058
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s04bezier/s0405dogwalk.cdy
diff --git a/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s04bezier/s0406mtfuji.cdy b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s04bezier/s0406mtfuji.cdy
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index 00000000000..2b20596a00b
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s04bezier/s0406mtfuji.cdy
diff --git a/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s05spacefigure/s0501basic.cdy b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s05spacefigure/s0501basic.cdy
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--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s05spacefigure/s0501basic.cdy
diff --git a/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s05spacefigure/s0501plane.cdy b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s05spacefigure/s0501plane.cdy
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--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s05spacefigure/s0501plane.cdy
diff --git a/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s05spacefigure/s0502spacecurve.cdy b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s05spacefigure/s0502spacecurve.cdy
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--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s05spacefigure/s0502spacecurve.cdy
diff --git a/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s05spacefigure/s0503perp.cdy b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s05spacefigure/s0503perp.cdy
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--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s05spacefigure/s0503perp.cdy
diff --git a/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s05spacefigure/s0504embed.cdy b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s05spacefigure/s0504embed.cdy
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--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s05spacefigure/s0504embed.cdy
diff --git a/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s05spacefigure/s0505bezier3d.cdy b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s05spacefigure/s0505bezier3d.cdy
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--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s05spacefigure/s0505bezier3d.cdy
diff --git a/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s05spacefigure/s0506embedhatch.cdy b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s05spacefigure/s0506embedhatch.cdy
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--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s05spacefigure/s0506embedhatch.cdy
diff --git a/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s05spacefigure/s0507polyhedron.cdy b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s05spacefigure/s0507polyhedron.cdy
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--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s05spacefigure/s0507polyhedron.cdy
diff --git a/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s05spacefigure/s0508concatobj.cdy b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s05spacefigure/s0508concatobj.cdy
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--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s05spacefigure/s0508concatobj.cdy
diff --git a/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s05spacefigure/s05091tetra.cdy b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s05spacefigure/s05091tetra.cdy
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--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s05spacefigure/s05091tetra.cdy
diff --git a/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s05spacefigure/s05092cubiccut.cdy b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s05spacefigure/s05092cubiccut.cdy
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diff --git a/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s05spacefigure/s05093cubiccut2.cdy b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s05spacefigure/s05093cubiccut2.cdy
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diff --git a/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s06animation/s0601cycloid.cdy b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s06animation/s0601cycloid.cdy
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--- /dev/null
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diff --git a/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s06animation/s0602diffeq.cdy b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s06animation/s0602diffeq.cdy
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--- /dev/null
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diff --git a/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s06animation/s0603envelope.cdy b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s06animation/s0603envelope.cdy
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diff --git a/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s06animation/s0604diffeq2.cdy b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s06animation/s0604diffeq2.cdy
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diff --git a/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s06animation/s0605cycloid2.cdy b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s06animation/s0605cycloid2.cdy
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--- /dev/null
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diff --git a/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s06animation/s0606epitrochoid.cdy b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s06animation/s0606epitrochoid.cdy
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--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s06animation/s0606epitrochoid.cdy
diff --git a/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s06animation/s0607hypotrochoid.cdy b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s06animation/s0607hypotrochoid.cdy
new file mode 100644
index 00000000000..b49ee406be6
--- /dev/null
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diff --git a/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/fig/slide0.tex b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/fig/slide0.tex
new file mode 100644
index 00000000000..3ff4376514f
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/fig/slide0.tex
@@ -0,0 +1,11 @@
+{\Large\bf
+\color[cmyk]{1,1,0,0}
+
+\begin{layer}{120}{0}
+{\Huge \putnotes{60}{20}{メインタイトル}}
+\putnotes{60}{50}{名前}
+\putnotes{60}{60}{所属}
+\putnotes{60}{70}{情報}
+\end{layer}
+
+}
diff --git a/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/fig/wallpaper.tex b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/fig/wallpaper.tex
new file mode 100644
index 00000000000..5c08113b42c
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/fig/wallpaper.tex
@@ -0,0 +1,12 @@
+{\color[cmyk]{0.6,0.2,0.8,0}\huge\rm\normalsize
+
+\newpage
+
+\begin{layer}{120}{0}
+\lineseg{0}{2}{125}{0}
+\lineseg{0}{88}{125}{0}
+\putnotese{0}{90}{\ketcindy}
+\putnotesw{115}{90}{Mar. 31 2018}
+\end{layer}
+
+}
diff --git a/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/howtouseslideE.txt b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/howtouseslideE.txt
new file mode 100644
index 00000000000..b7fc171bbc5
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/howtouseslideE.txt
@@ -0,0 +1,79 @@
+Presentation with ketslide    2018.03.30

+

+0. Flow of making slides.

+

+  1) Copy ketsample/s07slideのs0701basic.cdy to your work directory and rename it.

+         Ex) s0701basic.cdy , s0701basic.txt

+         Rem) Rename both files.

+       Here, let files sample.cdy and sample.txt.

+  2) Double-click sample.cdy, edit Settitle.

+  3) Press Gear mark on the top.

+  4) Press button "Title" on the screen.

+  5) Press button "Slide".

+

+1.  Editing the .txt file.

+

+  1) Put // at the last of every lines.

+           Rm) Use |||| for //.

+		              http::||||.... //

+  2) Use :: for separators of each command.

+  3) Commands

+          title::titleslidename(::wallpaper)//

+                Rm) Put the first line.

+          main::mainttitlename//

+          new::pagetitlename//

+          enumerate//

+                =\begin{enumerate}

+          itemize//

+                =\begin{itemize}

+          layer::{xsize}{ysize}//

+                =\begin{layer}{xsize}{ysize}

+          item::sentence//

+                =\item sentence

+          putnote::dir{xpos}{ypos}::filename(,scale)//

+                =putnotedir{xpos}{ypos}{\input{fig/filename}}

+          end//

+                =\end{itemize,enumerate,layer}

+        Rm) Any other TeX command is available.

+  4) Use ...// for inserting a blank line.

+  5) To display a page step by step

+          Put just after new,

+               %repeat=number of steps//

+          Put at the head of each line as

+             %[2,-]::sentence

+                   display at all steps from 2

+              %[-,2]::sentence

+                   display at all steps until 2

+              %[1..3,5]::sentence

+                   display at steps of 1,2,3 and 5

+          Use %thin to display with thin letters.

+                  %thin::[2,-]::sentence

+             Rm) the dencity can be changed with Setslidebody.

+  6) To display all figures in the sub folder in folder "fig"

+          %repeat=//

+          %para=subfig:{0}:s{60}{10}:input(:scale)//

+

+2. Setting commands described in the cdy file.

+          Setslidemain([letterc,boxc,boxd,framec,xpos,size]); 

+          Setslidepage([letterc,boxc,boxd,framec,shadowc,shadowd,xpos,size]); 

+          Setslidebody(bodycolor,bodystyle,density);

+          Setslidehyper("dvipdfmx",["cl=true,lc=blue,fc=blue",90,70,1]);

+

+3. Making flip animation

+

+  1) Define Mf(s) the state at s.

+  2) Add Setpara as

+          Setpara(foldername,funcitonstr,range,options); 

+              options=["m/r", "Div=25"];

+  3) Press button Flip

+  4) Describe in the .txt file as 1. 6).

+  5) Press button Slide.

+

+4. Making animation.

+

+  1) Add in the .cdy file

+         Addpackage(["[dvipdfmx]{animate}"]);

+  2) Add in the option of Setpara,

+         "Frate=num of frame in the second, "Scale=scale, "OpA=optin of animation" 

+  3) Define mf(s), Press button Anime.

+  4) Use \input, not layer.

diff --git a/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/howtouseslideJ.txt b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/howtouseslideJ.txt
new file mode 100644
index 00000000000..440fefea4f1
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/howtouseslideJ.txt
@@ -0,0 +1,132 @@
+ketslideによるプレゼンテーション　　2018.03.30

+

+０．作成の流れ

+

+　１）ketsample/s07slideの中の2つのファイルを作業ディレクトリにコピーして名称変更

+　　　　例）s0701basic.cdy , s0701basic.txt 

+　　　　注）名称変更するときは，cdyとtxtを同名にする．

+　　　ここでは，ファイル名をsample.cdyとsample.txtとする．

+　２）sample.cdyをダブルクリックで立ち上げ，１を参考にSettitleの中身を修正する．

+　　　　注）Settitleのオプション（=の右はデフォルト値）

+　　　　　　　　　["Title=slide0","Layery=0","Color=blue"]

+　３）右上の歯車マークを押す．

+　４）画面上のTitleボタンを押す．

+　　　　タイトルスライドが作成され，画面が表示される．

+　　　　必要なら，Settitleを修正する．

+　５）Slideボタンを押すと，sample.pdfが作成される．

+

+１．txtファイルの編集

+

+　１）すべての行の最後は必ず // をつける．

+　　　　注）urlの指定で//を用いるとき，||||とすると//に変換される．

+　２）各ブロックの引数の区切りは ::

+　３）コマンド

+　　　　・タイトル::読込ファイル名(::壁紙ファイル)//

+　　　　　　　タイトルページを作成（１行目におく）

+　　　　　　注）壁紙(例えばwallpaperとする）を背景に入れるとき

+　　　　　　　　・例えばwallpaper.texを作成してfigフォルダに入れる．

+　　　　　　　　　　（figにあるサンプルwallpaper.texを参照）

+　　　　　　　　・sample.txtでの指定は

+　　　　　　　　　　　タイトル::slide0::wallpaper//

+　　　　　　　　・壁紙を一時的に外すときは

+　　　　　　　　　　　タイトル::slide0::%wallpaper//

+　　　　　　注）preambleに追加するとき

+　　　　　　　　　１行目の//を外す．

+　　　　　　　　　次の行から，::区切りで書き加え，最後に//をおく．

+　　　　　　注）タイトル画面が不要の場合は，

+　　　　　　　　　タイトル(またはtitle)::notitle//

+　　　　・main::段落タイトル名//

+　　　　・new(::行下げ)::タイトル((::位置)::読み込みファイル)//

+　　　　　　mainslide

+　　　　　　例）new::[10]::最初に::{50}{20}::figure//

+　　　　　　注）読み込みファイルのサイズ変更するとき

+　　　　　　　　　new::[10]::最初に::{50}{20}::figure,0.8//

+　　　　　　　　他も同様

+　　　　・enumerate/

+　　　　　　enumerate環境の始まり

+　　　　・itemize//

+　　　　　　itemize環境の始まり

+　　　　・layer(::範囲)//

+　　　　　　layer環境の始まり

+　　　　・item::文//

+　　　　　　itemを追加

+　　　　・putnote::方向と位置::読み込みファイル//

+　　　　　　layer環境の中に図を入れる

+　　　　　　例）putonote::se{30}{10}::figure( , 倍率)//（inputのとき）

+　　　　　　　　　　figの中のfigure.texを表示

+　　　　　　例）putonote::se{30}{10}::include[width=5cm]::figure.pdf//

+　　　　　　　　　　（includegraphicsのとき）

+　　　　　　注）図はすべてfigに入れる．

+　　　　・end//

+　　　　　　enumerate,itemize,layer環境の終わり

+　　　　・上記以外//

+　　　　　　そのままTeXに書き出す．

+　　　　・コマンドをコメントアウトするときは，%%とする．

+

+　４）空白行を入れたいときは，...// とする．

+

+　５）newの後，ページを段階的に表示するとき，

+　　　・newの次の行に

+　　　　　%repeat=（newを含むスライドの枚数）,para//

+　　　・表示したいページは

+　　　　　　%[2,-]::本文//

+　　　　のように書く．

+　　　　　注）[2,- ]は2ページ以降全部

+　　　　　　　[-, 2]は2ページまで表示

+　　　　　　　[1..3,5 ]は1ページから3ページと5ページ

+　　　・repeat=...の後に「,para」を追加するとリンクを作成

+　　　・指定以外のページで薄文字にしたいときは　%thin[2]::本文

+　　　　　注）薄文字の濃さのデフォルトは0.1だが，Setslidebodyで変更可能

+　　　　　注）txtファイルに以下を記述すれば，以降の濃さが変わる．

+　　　　　　　　　　\setthin{濃さ}//

+

+　６）figの中にあるサブフォルダ（例えばsubfig）の図ファイルすべてを順に表示するとき

+　　　・newの次の行に

+　　　　　%repeat=//

+　　　　　%para=subfig:{0}:s{60}{10}:input(:倍率)//

+　　　　　　 ＝＞ layer{120}{0}, \putnotes{60}{10}{\input...}

+　　　　注）%repeat=,para=...と続けて書いてもよい．

+　　　　注）一時的に無効にするときは，%%とする．

+

+２．スライドの設定

+

+　１）cdyのfigureに記述する．

+　２）コマンド

+　　　・Setslidemain([letterc,boxc,boxd,framec,xpos,size]); 

+　　　　　メイン（段落区切り）の設定

+　　　　　注）一部をデフォルト値とする場合は [,,]などとする．以下同様

+　　　・Setslidepage([letterc,boxc,boxd,framec,shadowc,shadowd,xpos,size]); 

+　　　　　ページの設定

+　　　・Setslidebody(bodycolor,bodystyle,density);

+　　　　　全体の文字色と薄文字の濃さ(0-1)の設定

+　　　　　bodystyleのデフォルトは　"\Large\bf\boldmath"

+　　　・Setslidehyper("dvipdfmx",["cl=true,lc=blue,fc=blue",90,70,1]);

+　　　　　hyperrefを利用する，

+　　　　　注）Setslidehyper();とすると，hyperref.styを読み込み，

+　　　　　　かつ，上のデフォルト値が与えられる．

+　　　　　注）数字は，ページ移動ボタン列について，右端の水平位置，垂直サイズ，倍率

+

+３．パラパラ動画の作成

+

+　　（１）mf(s)にパラメータ値sのときの図を記述する．

+　　（２）パラパラの設定

+　　　　Setpara(foldername,funcitonstr,range,options); 

+　　　　　　　options=["m/r", "Div=25"];

+　　　　注）rangeの記述

+　　　　　i) "s=[0,1]"   区間をDivで分割

+　　　　　ii) [0.2, 0.6]　リストの各値をsに代入

+　　（３）ParaFボタンを押すと，foldernameの中にパラパラの図が生成される．

+　　（４）txtファイルに，１の６）のように記述する．

+　　（５）Slideボタンを押す．

+

+４．animationの作成

+

+　　　注）PathAdにAdobeReaderのデフォルトのパスが設定されている．

+　　　　　　println(PathAd)により，パスが確認できる．

+　　　　　変更するときは，changesetting.txtにパスを記述する．

+　　　　　　　　PathAd="....";

+　　（１）Addpackage(["[dvipdfmx]{animate}"]);を追加する．

+　　（２）Setparaのオプション

+　　　　　　"Frate="(１秒間のフレーム数), "Scale="(スケール倍率), "OpA=[loop]" 

+　　（３）mf(s)を定義して，Animeボタンを押す．

+　　（４）読み込み場所に，\inputを使って入れる．(layerは使えない）

diff --git a/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0701basic.cdy b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0701basic.cdy
new file mode 100644
index 00000000000..886b5bc01ce
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0701basic.cdy
diff --git a/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0701basic.txt b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0701basic.txt
new file mode 100644
index 00000000000..9650b53ce76
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0701basic.txt
@@ -0,0 +1,21 @@
+タイトル::slide0::%wallpaper//

+

+%%%%%%%%%%%%%%%%//

+main::メインスライド１//

+

+%%%%%%%%%%%%%%%%//

+new::itemize環境の使い方//

+

+itemize//

+item::内容//

+item::結論//

+end//

+

+%%%%%%%%%%%%%%%%//

+new::enumerate環境の使い方//

+

+enumerate::[(1)]//

+item::番号を変えるには，例えば [(1)]//

+item::後は同じ//

+end//

+

diff --git a/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0701basicE.cdy b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0701basicE.cdy
new file mode 100644
index 00000000000..0025ed37400
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0701basicE.cdy
diff --git a/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0701basicE.txt b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0701basicE.txt
new file mode 100644
index 00000000000..a6c607e7f83
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0701basicE.txt
@@ -0,0 +1,21 @@
+title::slide0::%wallpaper//

+

+%%%%%%%%%%%%%%%%//

+main::Main Slide//

+

+%%%%%%%%%%%%%%%%//

+new::How to use itemize//

+

+itemize//

+item::Contents//

+item::Conclusion//

+end//

+

+%%%%%%%%%%%%%%%%//

+new::How to use enumerate//

+

+enumerate::[(1)]//

+item::Change the style of number adding, for example, [(1)]//

+item::Same as usual//

+end//

+

diff --git a/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0702graph.cdy b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0702graph.cdy
new file mode 100644
index 00000000000..6ce49ec73b7
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0702graph.cdy
diff --git a/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0702graphE.cdy b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0702graphE.cdy
new file mode 100644
index 00000000000..4b59de6c9ad
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0702graphE.cdy
diff --git a/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0702graphE.txt b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0702graphE.txt
new file mode 100644
index 00000000000..295050c5615
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0702graphE.txt
@@ -0,0 +1,19 @@
+title::slideE::%wallpaper//

+

+%%%%%%%%%%%%%%%%//

+main::Main Slide//

+

+%%%%%%%%%%%%%%%%//

+new::input and layer//

+

+layer::{100}{0}//

+putnote::s{65}{10}::figsin,1.2//

+end//

+

+%%%%%%%%%%%%%%%%//

+new::includegrpahics and layer//

+

+layer::{100}{0}//

+putnote::s{60}{5}

+::include[bb=0.00 0.00 803.00 285.00,width=100mm]::cindyscreen.pdf//

+end//

diff --git a/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0703repeat.cdy b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0703repeat.cdy
new file mode 100644
index 00000000000..fa5099527fc
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0703repeat.cdy
diff --git a/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0703repeat.txt b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0703repeat.txt
new file mode 100644
index 00000000000..3f29c04c3ef
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0703repeat.txt
@@ -0,0 +1,32 @@
+タイトル::slide0::%wallpaper//

+

+%%%%%%%%%%%%%%%%//

+main::メインスライド１//

+

+%%%%%%%%%%%%%%%%//

+new::itemize環境の使い方//

+%repeat=2//

+

+itemize//

+item::内容//

+%[2,-]::item::結論//

+end//

+

+%%%%%%%%%%%%%%%%//

+new::enumerate環境の使い方//

+%repeat=3//

+

+enumerate::[(1)]//

+%thin[2,-]::item::番号を変えるには，例えば [(1)]//

+%thin[3,-]::item::後は同じ//

+end//

+

+%%%%%%%%%%%%%%%%//

+new::グラフとrepeat//

+%repeat=2//

+

+layer::{100}{0}//

+%[1]::putnote::se{10}{15}::figsin,0.8//

+%[2]::putnote::se{30}{40}::figsin,0.8//

+end//

+

diff --git a/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0703repeatE.cdy b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0703repeatE.cdy
new file mode 100644
index 00000000000..1da10768bd9
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0703repeatE.cdy
diff --git a/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0703repeatE.txt b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0703repeatE.txt
new file mode 100644
index 00000000000..6ae811a162e
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0703repeatE.txt
@@ -0,0 +1,32 @@
+title::slideE::%wallpaper//

+

+%%%%%%%%%%%%%%%%//

+main::Main Slide//

+

+%%%%%%%%%%%%%%%%//

+new::itemize and repeat//

+%repeat=2//

+

+itemize//

+item::Contents//

+%[2,-]::item::Conclusions//

+end//

+

+%%%%%%%%%%%%%%%%//

+new::enumerate and repeat//

+%repeat=3//

+

+enumerate::[(1)]//

+%thin[2,-]::item::Contents//

+%thin[3,-]::item::Conclusions//

+end//

+

+%%%%%%%%%%%%%%%%//

+new::Graph and repeat//

+%repeat=2//

+

+layer::{100}{0}//

+%[1]::putnote::se{10}{15}::figsin,0.8//

+%[2]::putnote::se{30}{40}::figsin,0.8//

+end//

+

diff --git a/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0704thin.cdy b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0704thin.cdy
new file mode 100644
index 00000000000..012e8971df5
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0704thin.cdy
diff --git a/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0704thin.txt b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0704thin.txt
new file mode 100644
index 00000000000..7c97865ebab
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0704thin.txt
@@ -0,0 +1,53 @@
+タイトル::slide0::%wallpaper/

+

+%%%%%%%%%%%%%%%%//

+main::メインスライド１//

+

+%%%%%%%%%%%%%%%%//

+new::画面上のボタン//

+

+itemize//

+item::\Ltab{20mm}{Figure}静止画（Fhead+".tex"）をfigに作成//

+item::\Ltab{20mm}{Title}タイトル(default : slide0)をfigに作成//

+item::\Ltab{20mm}{ParaF}パラパラ動画フォルダを作成\\//

+\Ltab{25mm}{}Setparaで引数を書いておく//

+item::\Ltab{20mm}{Slide}Texparent+".txt"からスライドを作成//

+item::\Ltab{20mm}{Sum}SummaryのPDFを作成//

+end//

+

+%%%%%%%%%%%%%%%%//

+new::enumerate環境の使い方//

+%repeat=3//

+

+%[2,-]::enumerate::[(1)]//

+%[2,-]::item::番号を変えるには，例えば [(1)]//

+%[3,-]::item::表示ページはリストで与える\\//

+%[3,-]::\hspace*{10mm}[1],\ [1,-],\ [1..3],\ [1..3,6]など//

+%[2,- ]::end//

+

+%%%%%%%%%%%%%%%%//

+new::薄文字の使い方//

+%repeat=4//

+

+itemize//

+%thin[2,-]::item::Setslidebodyの3番目の引数で濃さを変更\\//

+%thin[2,-]::\hspace*{10mm}\verb|Setslidebody(["","",0.2]);|//

+%thin[3,-]::item::デフォルトは$0.1$//

+%thin[4]::item::リストのページ以外が薄文字になる//

+end//

+

+%%%%%%%%%%%%%%%%//

+new::layerの使い方//

+%repeat=5//

+

+\setthin{0}//

+

+itemize//

+%thin[1,-]::item::layerの始まりは\verb+layer+{:}{:}\verb+{120}{0}+//

+%thin[2,-]::item::layerの終わりは\verb|end|//

+%thin[3,-]::item::図は\verb+putnote+{:}{:}\verb+se{80}{5}+{:}{:}\verb+grf+//

+%thin[4,-]::item::図のサイズを変えるときは\\//

+%thin[4,-]::\hspace*{10mm}{:}{:}\verb+grf,0.8+//

+%thin[5]::item::通常の\verb|\putnote|文も使える//

+end//

+

diff --git a/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0705para.cdy b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0705para.cdy
new file mode 100644
index 00000000000..ffc2f5de4f9
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0705para.cdy
diff --git a/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0705paraE.cdy b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0705paraE.cdy
new file mode 100644
index 00000000000..2b898539f33
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0705paraE.cdy
diff --git a/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0705paraE.txt b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0705paraE.txt
new file mode 100644
index 00000000000..b3ff212af74
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0705paraE.txt
@@ -0,0 +1,9 @@
+title::slideE::%wallpaperi//

+

+%%%%%%%%%%%%%%%%//

+new::parapara//

+%repeat=,para=sinemove:{0}:s{65}{10}:input:1.2//

+

+%%%%%%%%%%%%%%%%//

+%new::parapara2//

+%%repeat=,para=sinemove2:{0}:s{65}{10}:input:1.2//

diff --git a/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0706animate.cdy b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0706animate.cdy
new file mode 100644
index 00000000000..d87de868f3d
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0706animate.cdy
diff --git a/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0706animate.txt b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0706animate.txt
new file mode 100644
index 00000000000..3793cad5698
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0706animate.txt
@@ -0,0 +1,18 @@
+タイトル::slide0::%wallpaper//

+

+%%%%%%%%%%%%%%%%//

+main::メインスライド１//

+

+%%%%%%%%%%%%%%%%//

+new::Animation1//

+

+\begin{center}//

+\input{fig/animsinemove}//

+\end{center}//

+

+%%%%%%%%%%%%%%%%//

+%new::Animation2//

+

+%\begin{center}//

+%\input{fig/animsinemove2}//

+%\end{center}//

diff --git a/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0706animateE.cdy b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0706animateE.cdy
new file mode 100644
index 00000000000..5cb1238a727
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0706animateE.cdy
diff --git a/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0706animateE.txt b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0706animateE.txt
new file mode 100644
index 00000000000..c0c985642e6
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0706animateE.txt
@@ -0,0 +1,18 @@
+Title::slideE::%wallpaper//

+

+%%%%%%%%%%%%%%%%//

+main::Main Slide//

+

+%%%%%%%%%%%%%%%%//

+new::Animation1//

+

+\begin{center}//

+\input{fig/animsinemove}//

+\end{center}//

+

+%%%%%%%%%%%%%%%%//

+%new::Animation2//

+

+%\begin{center}//

+%\input{fig/animsinemove2}//

+%\end{center}//
\ No newline at end of file
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--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s13meshlab/s1304symbol.cdy
diff --git a/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s13meshlab/s1305hyperpara.cdy b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s13meshlab/s1305hyperpara.cdy
new file mode 100644
index 00000000000..2768c455e6c
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s13meshlab/s1305hyperpara.cdy
diff --git a/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s13meshlab/s1306poly.cdy b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s13meshlab/s1306poly.cdy
new file mode 100644
index 00000000000..e357ce0bcaa
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s13meshlab/s1306poly.cdy
diff --git a/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s13meshlab/s1307poly2.cdy b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s13meshlab/s1307poly2.cdy
new file mode 100644
index 00000000000..0f3f54b2b89
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s13meshlab/s1307poly2.cdy
diff --git a/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s13meshlab/s1308discont.cdy b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s13meshlab/s1308discont.cdy
new file mode 100644
index 00000000000..01f65394d21
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s13meshlab/s1308discont.cdy
diff --git a/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s13meshlab/s1309discont2.cdy b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s13meshlab/s1309discont2.cdy
new file mode 100644
index 00000000000..160b1fbad56
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s13meshlab/s1309discont2.cdy
diff --git a/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s13meshlab/s1310totaldiff.cdy b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s13meshlab/s1310totaldiff.cdy
new file mode 100644
index 00000000000..7a526d7eca7
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s13meshlab/s1310totaldiff.cdy
diff --git a/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s13meshlab/s1311plate.cdy b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s13meshlab/s1311plate.cdy
new file mode 100644
index 00000000000..6afb901b4ac
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s13meshlab/s1311plate.cdy
diff --git a/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s13meshlab/s1312plane.cdy b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s13meshlab/s1312plane.cdy
new file mode 100644
index 00000000000..777d29723b0
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s13meshlab/s1312plane.cdy
diff --git a/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s13meshlab/s1313changescale.cdy b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s13meshlab/s1313changescale.cdy
new file mode 100644
index 00000000000..91721733724
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s13meshlab/s1313changescale.cdy
diff --git a/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s14dataprocessing/s1401csvprocessing.cdy b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s14dataprocessing/s1401csvprocessing.cdy
new file mode 100644
index 00000000000..8339f560622
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s14dataprocessing/s1401csvprocessing.cdy
diff --git a/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s14dataprocessing/s1402copypaste.cdy b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s14dataprocessing/s1402copypaste.cdy
new file mode 100644
index 00000000000..acdc2d25ee2
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s14dataprocessing/s1402copypaste.cdy
diff --git a/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s14dataprocessing/s1403maketableJ.cdy b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s14dataprocessing/s1403maketableJ.cdy
new file mode 100644
index 00000000000..88c81f69f70
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s14dataprocessing/s1403maketableJ.cdy
diff --git a/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s14dataprocessing/sample1.csv b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s14dataprocessing/sample1.csv
new file mode 100644
index 00000000000..38d5fa8c714
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s14dataprocessing/sample1.csv
@@ -0,0 +1,10 @@
+63,33,59,64,52
+61,26,47,27,59
+40,52,24,48,26
+63,56,44,40,34
+75,34,64,76,61
+58,63,53,50,68
+65,38,81,59,23
+54,65,41,76,53
+75,61,42,58,40
+44,42,58,41,56
diff --git a/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s14dataprocessing/sample2.csv b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s14dataprocessing/sample2.csv
new file mode 100644
index 00000000000..f6273be2c7d
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s14dataprocessing/sample2.csv
@@ -0,0 +1,10 @@
+50,68,57,65,60
+64,48,65,61,72
+41,45,31,51,47
+54,55,39,47,39
+34,52,43,50,47
+54,31,58,38,79
+14,36,56,46,63
+78,54,40,64,42
+40,44,68,59,46
+41,65,40,44,37
diff --git a/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s15C/s1501mant.cdy b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s15C/s1501mant.cdy
new file mode 100644
index 00000000000..59bfc5cfa8c
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s15C/s1501mant.cdy
diff --git a/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s15C/s1502torus.cdy b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s15C/s1502torus.cdy
new file mode 100644
index 00000000000..ec9a5966348
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s15C/s1502torus.cdy
diff --git a/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s15C/s1503parabola.cdy b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s15C/s1503parabola.cdy
new file mode 100644
index 00000000000..5b45f933ab1
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s15C/s1503parabola.cdy
diff --git a/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s15C/s1504conecut.cdy b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s15C/s1504conecut.cdy
new file mode 100644
index 00000000000..43fe8655eda
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s15C/s1504conecut.cdy
diff --git a/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s15C/s1505skeleton.cdy b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s15C/s1505skeleton.cdy
new file mode 100644
index 00000000000..0497a177100
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/ketsample/samples/s15C/s1505skeleton.cdy
diff --git a/Master/texmf-dist/doc/support/ketcindy/ketsample/samplesJS/js01basic.cdy b/Master/texmf-dist/doc/support/ketcindy/ketsample/samplesJS/js01basic.cdy
new file mode 100755
index 00000000000..ac2ecd2d8df
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/ketsample/samplesJS/js01basic.cdy
diff --git a/Master/texmf-dist/doc/support/ketcindy/ketsample/samplesJS/js02diffeq2.cdy b/Master/texmf-dist/doc/support/ketcindy/ketsample/samplesJS/js02diffeq2.cdy
new file mode 100644
index 00000000000..1bbe45a7d2e
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/ketsample/samplesJS/js02diffeq2.cdy
diff --git a/Master/texmf-dist/doc/support/ketcindy/ketsample/samplesJS/js03gamow.cdy b/Master/texmf-dist/doc/support/ketcindy/ketsample/samplesJS/js03gamow.cdy
new file mode 100755
index 00000000000..1305329e437
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/ketsample/samplesJS/js03gamow.cdy
diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketjava/KetCindyPlugin.java b/Master/texmf-dist/doc/support/ketcindy/source/ketjava/KetCindyPlugin.java
new file mode 100644
index 00000000000..4aa74435807
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/source/ketjava/KetCindyPlugin.java
@@ -0,0 +1,430 @@
+import de.cinderella.api.cs.CindyScript;
+import de.cinderella.api.cs.CindyScriptPlugin;
+import org.apache.commons.math.linear.MatrixUtils;
+import org.apache.commons.math.linear.RealMatrix;
+
+import java.awt.*;
+import java.util.ArrayList;
+import java.util.Arrays;
+import java.io.*;
+import java.util.Date;
+
+public class KetCindyPlugin extends CindyScriptPlugin {
+
+    @CindyScript("ketjavaversion")
+    public String ketjavaversion() {
+        return "Ketjava 20180408";
+    }
+
+	public String getName() {
+        return "KetCindy Plugin";
+    }
+
+    public String getAuthor() {
+        return "The KetCindy Project Team";
+    }
+
+    @CindyScript("systemproperty")
+    public String getUserID(String s) {
+        return System.getProperty(s);
+    }
+
+    @CindyScript("square")
+    public double quadrieren(double x) {
+        return x * x;
+    }
+
+    @CindyScript("grayvalue")
+    public double getGray(Color c) {
+        return (c.getBlue() + c.getRed() + c.getGreen()) / 3.;
+    }
+
+    @CindyScript("isincludefull")//180331
+    public static boolean isincludefull(String str){
+      char[] chars = str.toCharArray();
+      for (int i = 0; i < chars.length; i++) {
+        if (String.valueOf(chars[i]).getBytes().length==2) {
+          return true;
+        }
+      }
+      return false;
+    }
+    
+    @CindyScript("getdir")
+    public String getdir() {
+        return System.getProperty("user.dir");
+    }
+
+    @CindyScript("gethome")
+    public String gethome() {
+        return System.getProperty("user.home");
+    }
+
+	@CindyScript("getname")
+    // 17.10.08
+    public String getname() {
+        return System.getProperty("user.name");
+    }
+	
+    @CindyScript("iswindows")
+    public static boolean iswindows(){
+        String os=System.getProperty("os.name").toLowerCase();
+        if(os!=null && os.startsWith("windows")){
+            return true;
+        }
+        else{
+            return false;
+        }
+    }
+
+    @CindyScript("ismacosx")
+    public static boolean ismacosx(){
+        String os=System.getProperty("os.name").toLowerCase();
+        if(os!=null && os.startsWith("mac")){
+            return true;
+        }
+        else{
+            return false;
+        }
+    }
+    @CindyScript("islinux")
+    public static boolean islinux(){
+        String os=System.getProperty("os.name").toLowerCase();
+        if(os!=null && os.startsWith("linux")){
+            return true;
+        }
+        else{
+            return false;
+        }
+    }
+
+    @CindyScript("iswin")
+    public static boolean iswin() {
+        String OS_NAME = System.getProperty("os.name").toLowerCase();
+        return OS_NAME.startsWith("windows");
+    }
+
+    @CindyScript("kc")
+    public static String kc(String args){
+      return "Improper call";
+    }
+
+	@CindyScript("nkfwin") //180408
+    public static String nkfwin(String path,String dir,String fn1,String fn2)
+              throws IOException {
+      String src="\""+dir+"\\"+fn1+"\"";
+      String out="\""+dir+"\\"+fn2+"\"";
+      ProcessBuilder pb = new ProcessBuilder();
+      pb.command("cmd","/c","\""+path+"\\nkf32\"","-s","<"+src,">"+out);
+      Process process = pb.start();
+      return out+" generated";
+  }
+
+    @CindyScript("kc")
+    public static String kc(String args,String args2,String args3) throws IOException {
+    ProcessBuilder pb = new ProcessBuilder();
+    File f = new File(args);
+    int flg=0;
+    int pos=0;
+    String kst="";
+    BufferedReader br = new BufferedReader(new FileReader(f));
+    String str;
+	while((str = br.readLine()) != null){
+      if(str.indexOf("*")>-1|| str.indexOf("?")>-1){
+        flg=1;
+      }
+      else{
+        str=str.toUpperCase();
+        str=str.replaceAll("\""," "); /* 16.06.08 */
+        if(str.indexOf("RM ")>-1 || str.indexOf("DEL ")>-1){
+          //16.07.21from
+          if(str.indexOf(".DVI")==-1 && str.indexOf(".TXT")==-1){
+            flg=2;
+          }
+          // 16.07.21upto
+        }
+        if(str.indexOf("MV ")>-1 || str.indexOf("MOVE ")>-1){
+          flg=3;
+        }
+        if(str.indexOf("RD ")>-1 || str.indexOf("RMDIR ")>-1){
+          flg=4;
+        }
+       // 16.04.09from
+        if(str.indexOf("SHUTDOWN ")>-1 || str.indexOf("SLEEP ")>-1){
+          flg=5;
+        }
+        if(str.indexOf("CLEAR ")>-1 || str.indexOf("CLS ")>-1){
+          flg=6;
+        }
+        if(str.indexOf("FTP ")>-1|| str.indexOf("TELNET ")>-1){
+          flg=7;
+        }
+        if(str.indexOf("USERMOD ")>-1 || str.indexOf("USERDEL ")>-1){
+          flg=8;
+        }
+        if(str.indexOf("USERADD	")>-1 || str.indexOf("USERMOD ")>-1){
+          flg=9;
+        }
+        if(str.indexOf("CHMOD ")>-1){
+          if(str.indexOf("CHMOD +")==-1){
+            flg=10;
+          }
+        }
+        if(str.indexOf("CRONTAB ")>-1 || str.indexOf("KILL ")>-1){
+          flg=11;
+        }
+        if(str.indexOf("AT ")>-1){
+          pos=str.indexOf("AT ");
+          if(pos==0){
+            flg=12;
+          }
+          else{
+            kst=str.substring(pos-1,pos);
+            if(!kst.equals("B")){
+              flg=12;
+            }
+          }
+       // 16.04.09upto
+        }
+//        if(str.indexOf("PATH ")>-1 || str.indexOf("PAUSE ")>-1 || str.indexOf("ARP ")>-1){
+        if(str.indexOf("PAUSE ")>-1 || str.indexOf("ARP ")>-1){
+          flg=13;
+        }
+        if(str.indexOf("RENAME ")>-1 || str.indexOf("START ")>-1){
+          flg=14;
+        }
+        // 16.07.21
+        if(str.indexOf(".SH")>-1 || str.indexOf(".BAT")>-1){
+          if(str.indexOf("MAXIMA.")==-1 && str.indexOf("KC.")==-1){ /* 2016.07.22 */
+            flg=15;
+          }
+        }
+      }
+      if(flg>0){
+        br.close();
+        return "Improper file "+String.valueOf(flg)+" "+str;
+      }
+    }
+    br.close();
+    // 16.06.05from
+    Long tm=System.currentTimeMillis()-f.lastModified();
+    if(tm>10000 || tm<0){ /* 16.06.08 */
+      flg=50;
+      return "Time expired";
+    }
+    if((args.indexOf("kc.")==-1|| args2.indexOf("ketlib")==-1) || args3.indexOf(".t")==-1){
+      flg=60;
+      return "Improper form";
+    }
+    if(flg==0){
+      if(iswindows()){
+        if((args.indexOf(" ")==-1)&&(args.indexOf("-")==-1)
+                  &&(args.indexOf("　")==-1)){ //180405
+          pb.command("cmd.exe","/c","start",args);
+        }else{
+          pb.command("cmd.exe","/c","","\""+args+"\"");//180331to
+        }
+      }
+      else{
+        if(ismacosx()){
+          if(args2.indexOf("open")>-1){ /* 2016.06.07from */
+            pb.command("open",args);
+          }
+          else{
+            pb.command("sh",args);
+          } /* 2016.06.07upto */
+        }
+        else{
+          pb.command("sh",args);
+        }
+      }
+    }
+    Process process = pb.start();
+    return "Normal end";
+  // 16.06.05upto
+  }
+
+    @CindyScript("ispaulvisiting")
+    public static boolean ispaulvisiting() {
+        return true;
+    }
+
+    @CindyScript("texv")
+    public static void texv( String s,  String d, String sf, String tf) throws Exception{
+        ProcessBuilder pb = new ProcessBuilder();
+        String[] cmd = {s,d,sf,tf};
+        pb.command(cmd);
+        Process process = pb.start();
+        return ;
+    }
+
+    @CindyScript("givemeamatrix2")
+    public static Object givemeamatrix2() {
+        try {
+            return "the Matrix: " + theGiveMeAMatrix().toString();
+        } catch (Throwable e) {
+            e.printStackTrace();
+            return "no Matrix: " + e.toString();
+        }
+    }
+
+    public static Object theGiveMeAMatrix() {
+        double[][] matrixData = { {1d,2d,3d}, {2d,5d,3d}};
+        RealMatrix m = MatrixUtils.createRealMatrix(matrixData);
+        return m;
+    }
+    
+    @CindyScript("getdirhead")
+    public static String getdirhead(){
+        if(iswindows()){
+            return System.getProperty("user.home")+"\\ketcindy";
+        }
+        else if(ismacosx()){
+            return System.getProperty("user.home")+"/ketcindy";
+        }
+        else if(islinux()){
+            return System.getProperty("user.home")+"/ketcindy";
+            // "/usr/share/ketcindy";
+        }
+        else{
+            return "unknown";
+        }
+    }
+
+    @CindyScript("getdirhead")
+    public static String getdirhead(String dir){
+        if(iswindows()){
+            return dir+"\\ketcindy";
+        }
+        else if(ismacosx()){
+            return dir+"/ketcindy";
+        }
+        else if(islinux()){
+            return dir+"/ketcindy";
+        }
+        else{
+            return "unknown";
+        }
+    }
+
+    @CindyScript("iskcexists")
+      public static boolean iskcexists(String dir){
+      File file = new File(dir+"/kc.sh");
+      if(file.exists()){
+        file.setExecutable(true,false);
+        //16.10.19
+        return true;
+     }
+     else{
+       return false;
+     }
+  }
+
+    @CindyScript("pathsep")
+     // 17.09.06
+      public static String pathsep(){
+      return File.separator;
+  }
+
+    @CindyScript("isexists")
+     // 16.10.02
+      public static boolean isexists(String dir,String fname){
+      File file = new File(dir+File.separator+fname);
+      if(file.exists()){
+        return true;
+     }
+     else{
+       return false;
+     }
+  }
+  
+      @CindyScript("filepath")
+     // 18.03.29
+      public static String isexists(String fname){
+      File file = new File(fname);
+      String path = file.getAbsolutePath();
+      return path;
+  }
+
+    @CindyScript("makedir")
+     // 17.09.06
+      public static String makedir(String dir,String dirname){
+      File newfile = new File(dir+File.separator+dirname);
+      if (newfile.mkdir()){
+        return dirname+" created";
+      }else{
+        return dirname+" already exists";
+      }
+  }
+
+    @CindyScript("fileslength")
+     // 16.12.09
+      public static int fileslength(String dirname){
+      File dir=new File(dirname);
+      File[] files=dir.listFiles();
+      String str;
+      String head;
+      int ctr=0;
+      if(dir.exists()){
+        for(int i=0;i<files.length;i++){
+          str=files[i].getName();
+          head=str.substring(0,1);
+          if(head.equals(".")){ctr=ctr+1;}
+        }
+        return files.length-ctr;
+     }
+     else{
+       return -1;
+     }
+  }
+  
+      @CindyScript("fileslist")
+     // 16.12.09
+      public static String fileslist(String dirname){
+      File dir=new File(dirname);
+      File[] files=dir.listFiles();
+      String str;
+      String head;
+      String strall="";
+      if(dir.exists()){
+        for(int i=0;i<files.length;i++){
+          str=files[i].getName();
+          head=str.substring(0,1);
+          if(!head.equals(".")){strall=strall+","+str;}
+        }
+        return strall.substring(1);
+     }
+     else{
+       return "";
+     }
+  }
+  
+    @CindyScript("setexec")
+     // 16.10.19
+      public static String setexec(String dir,String fname){
+      File file = new File(dir+File.separator+fname);
+      File path = new File(dir);
+      if(path.exists()){
+        if(file.exists()){
+          file.setExecutable(true,false);
+          return fname+" executable";
+        }
+        else{
+//          file.createNewFile();
+//          file.setExecutable(true,false);
+          return fname+" not exists";
+        }
+      }
+      else{
+        return dir+" not exists";
+      }
+   }
+
+    @CindyScript("getdatetime")
+     // 16.10.21
+      public static String getdatetime(){
+      Date date=new Date();
+      return date.toString();
+  }
+
+}
diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/ForRef-Arrowhead-1.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/ForRef-Arrowhead-1.tex
new file mode 100644
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diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/ForRef-Arrowhead-2.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/ForRef-Arrowhead-2.tex
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diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/ForRef-Arrowhead-6.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/ForRef-Arrowhead-6.tex
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diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/ForRef-Arrowhead-9.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/ForRef-Arrowhead-9.tex
new file mode 100644
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diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/ForRef-Arrowhead-ya1.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/ForRef-Arrowhead-ya1.tex
new file mode 100644
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--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/ForRef-Arrowhead-ya1.tex
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diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/HatchZuKita1.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/HatchZuKita1.tex
new file mode 100644
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+++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/HatchZuKita1.tex
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diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/HatchZuKita2.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/HatchZuKita2.tex
new file mode 100644
index 00000000000..832fa619fce
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/HatchZuKita2.tex
@@ -0,0 +1,67 @@
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diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/HatchZuKita3.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/HatchZuKita3.tex
new file mode 100644
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--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/HatchZuKita3.tex
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diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/HatchZuKita4.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/HatchZuKita4.tex
new file mode 100644
index 00000000000..92ae39d25eb
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/HatchZuKita4.tex
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diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/HatchZuKita5.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/HatchZuKita5.tex
new file mode 100644
index 00000000000..ec9b7744792
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+++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/HatchZuKita5.tex
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diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/HatchZuKita6.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/HatchZuKita6.tex
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diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/HatchZuKita7.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/HatchZuKita7.tex
new file mode 100644
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diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/HatchZuKita8.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/HatchZuKita8.tex
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diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/HatchZuKita9.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/HatchZuKita9.tex
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diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/Nearestpt.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/Nearestpt.tex
new file mode 100644
index 00000000000..7ca5600b1ff
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/Nearestpt.tex
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diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/Nearestpt1.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/Nearestpt1.tex
new file mode 100644
index 00000000000..7e3ad7a5d4e
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/Nearestpt1.tex
@@ -0,0 +1,108 @@
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diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/addax1.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/addax1.tex
new file mode 100644
index 00000000000..66325812b3c
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/addax1.tex
@@ -0,0 +1,44 @@
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diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/addax2.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/addax2.tex
new file mode 100644
index 00000000000..68b951d2f43
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/addax2.tex
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diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/addgraph.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/addgraph.tex
new file mode 100644
index 00000000000..335f0bf49a6
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/addgraph.tex
@@ -0,0 +1,651 @@
+%%% ex0409addgraph.tex 2016-4-11 15:14
+%%% ex0409addgraph.sce 2016-4-11 15:14
+{\unitlength=1cm%
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diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/anglemark.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/anglemark.tex
new file mode 100644
index 00000000000..15cf0ed7d60
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/anglemark.tex
@@ -0,0 +1,48 @@
+%%% anglemark.tex 2014-11-10 8:47

+%%% anglemark.sce 2014-11-10 8:36

+{\unitlength=1cm%

+\begin{picture}%

+(   6.00000,   5.00000)(  -3.00000,  -2.00000)%

+\special{pn 8}%

+%

+\settowidth{\Width}{A}\setlength{\Width}{-0.5\Width}%

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+\put(-0.4600,2.1100){\hspace*{\Width}\raisebox{\Height}{A}}%

+%

+%

+\settowidth{\Width}{B}\setlength{\Width}{-1\Width}%

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+%

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+%

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+%

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+\put(0.1900,-0.1400){\hspace*{\Width}\raisebox{\Height}{$\alpha$}}%

+%

+%

+\special{pn 24}%

+\special{pa 538 89}\special{pa 536 90}\special{pa 500 124}\special{pa 469 162}\special{pa 442 204}%

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+\special{fp}%

+\end{picture}}%
\ No newline at end of file
diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/arrowdata.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/arrowdata.tex
new file mode 100644
index 00000000000..52ab681b820
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/arrowdata.tex
@@ -0,0 +1,72 @@
+%%% test.tex 2014-11-30 20:20
+%%% test.sce 2014-11-30 20:20
+{\unitlength=6mm%
+\begin{picture}%
+(  12.56000,   5.04000)(  -1.00000,  -1.00000)%
+\special{pn 8}%
+%
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+\special{fp}%
+\special{pn 8}%
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+\special{fp}%
+\end{picture}}%
\ No newline at end of file
diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/arrowhead.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/arrowhead.tex
new file mode 100644
index 00000000000..d61b5ee62d9
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/arrowhead.tex
@@ -0,0 +1,38 @@
+%%% test.tex 2014-10-16 20:32
+%%% test.sce 2014-10-16 20:32
+{\unitlength=1cm%
+\begin{picture}%
+(   4.00000,   3.00000)(  -1.00000,  -0.50000)%
+\special{pn 8}%
+%
+\special{pa 271 -315}\special{pa 197 -343}\special{pa 240 -277}\special{pa 255 -296}%
+\special{pa 271 -315}\special{sh 1}\special{ip}%
+\special{pn 8}%
+\special{pa 271 -315}\special{pa 197 -343}\special{pa 240 -277}\special{pa 255 -296}%
+\special{pa 271 -315}%
+\special{fp}%
+\special{pn 8}%
+\settowidth{\Width}{θ}\setlength{\Width}{0\Width}%
+\settoheight{\Height}{θ}\settodepth{\Depth}{θ}\setlength{\Height}{\Depth}%
+\put(1.0500,0.5500){\hspace*{\Width}\raisebox{\Height}{θ}}%
+%
+%
+\special{pa 394 0}\special{pa 394 -8}\special{pa 393 -16}\special{pa 393 -25}\special{pa 392 -33}%
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+\special{fp}%
+\end{picture}}%
\ No newline at end of file
diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/assign.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/assign.tex
new file mode 100644
index 00000000000..ab6bcf7d32d
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/assign.tex
@@ -0,0 +1,361 @@
+%%% fig.tex 2016-4-28 10:9
+%%% fig.sce 2016-4-28 10:9
+{\unitlength=4mm%
+\begin{picture}%
+(  10.00000,  10.00000)(  -5.00000,  -2.00000)%
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+\special{pa 0 157}\special{pa 31 189}\special{pa 63 220}\special{pa 94 252}\special{pa 126 283}%
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+\special{fp}%
+\special{pa -787 -529}\special{pa -756 -504}\special{pa -724 -479}\special{pa -693 -454}%
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+\special{pa -409 -227}\special{pa -378 -202}\special{pa -346 -176}\special{pa -315 -151}%
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+\special{pa -157 -25}\special{pa -126 0}\special{pa -94 25}\special{pa -63 50}\special{pa -31 76}%
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+\special{pa 157 227}\special{pa 189 252}\special{pa 220 277}\special{pa 252 302}\special{pa 268 315}%
+\special{fp}%
+\special{pa -787 -416}\special{pa -756 -397}\special{pa -724 -378}\special{pa -693 -359}%
+\special{pa -661 -340}\special{pa -630 -321}\special{pa -598 -302}\special{pa -567 -283}%
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+\special{pa 157 151}\special{pa 189 170}\special{pa 220 189}\special{pa 252 208}\special{pa 283 227}%
+\special{pa 315 246}\special{pa 346 265}\special{pa 378 283}\special{pa 409 302}\special{pa 430 315}%
+\special{fp}%
+\special{pa -787 -290}\special{pa -756 -277}\special{pa -724 -265}\special{pa -693 -252}%
+\special{pa -661 -239}\special{pa -630 -227}\special{pa -598 -214}\special{pa -567 -202}%
+\special{pa -535 -189}\special{pa -504 -176}\special{pa -472 -164}\special{pa -441 -151}%
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+\special{pa -283 -88}\special{pa -252 -76}\special{pa -220 -63}\special{pa -189 -50}%
+\special{pa -157 -38}\special{pa -126 -25}\special{pa -94 -13}\special{pa -63 0}\special{pa -31 13}%
+\special{pa 0 25}\special{pa 31 38}\special{pa 63 50}\special{pa 94 63}\special{pa 126 76}%
+\special{pa 157 88}\special{pa 189 101}\special{pa 220 113}\special{pa 252 126}\special{pa 283 139}%
+\special{pa 315 151}\special{pa 346 164}\special{pa 378 176}\special{pa 409 189}\special{pa 441 202}%
+\special{pa 472 214}\special{pa 504 227}\special{pa 535 239}\special{pa 567 252}\special{pa 598 265}%
+\special{pa 630 277}\special{pa 661 290}\special{pa 693 302}\special{pa 724 315}%
+\special{fp}%
+\special{pa -787 -151}\special{pa -756 -145}\special{pa -724 -139}\special{pa -693 -132}%
+\special{pa -661 -126}\special{pa -630 -120}\special{pa -598 -113}\special{pa -567 -107}%
+\special{pa -535 -101}\special{pa -504 -94}\special{pa -472 -88}\special{pa -441 -82}%
+\special{pa -409 -76}\special{pa -378 -69}\special{pa -346 -63}\special{pa -315 -57}%
+\special{pa -283 -50}\special{pa -252 -44}\special{pa -220 -38}\special{pa -189 -31}%
+\special{pa -157 -25}\special{pa -126 -19}\special{pa -94 -13}\special{pa -63 -6}%
+\special{pa -31 0}\special{pa 0 6}\special{pa 31 13}\special{pa 63 19}\special{pa 94 25}%
+\special{pa 126 31}\special{pa 157 38}\special{pa 189 44}\special{pa 220 50}\special{pa 252 57}%
+\special{pa 283 63}\special{pa 315 69}\special{pa 346 76}\special{pa 378 82}\special{pa 409 88}%
+\special{pa 441 94}\special{pa 472 101}\special{pa 504 107}\special{pa 535 113}\special{pa 567 120}%
+\special{pa 598 126}\special{pa 630 132}\special{pa 661 139}\special{pa 693 145}\special{pa 724 151}%
+\special{pa 756 157}\special{pa 787 164}%
+\special{fp}%
+\special{pa -787 0}\special{pa -756 0}\special{pa -724 0}\special{pa -693 0}\special{pa -661 0}%
+\special{pa -630 0}\special{pa -598 0}\special{pa -567 0}\special{pa -535 0}\special{pa -504 0}%
+\special{pa -472 0}\special{pa -441 0}\special{pa -409 0}\special{pa -378 0}\special{pa -346 0}%
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+\special{pa -157 0}\special{pa -126 0}\special{pa -94 0}\special{pa -63 0}\special{pa -31 0}%
+\special{pa 0 0}\special{pa 31 0}\special{pa 63 0}\special{pa 94 0}\special{pa 126 0}%
+\special{pa 157 0}\special{pa 189 0}\special{pa 220 0}\special{pa 252 0}\special{pa 283 0}%
+\special{pa 315 0}\special{pa 346 0}\special{pa 378 0}\special{pa 409 0}\special{pa 441 0}%
+\special{pa 472 0}\special{pa 504 0}\special{pa 535 0}\special{pa 567 0}\special{pa 598 0}%
+\special{pa 630 0}\special{pa 661 0}\special{pa 693 0}\special{pa 724 0}\special{pa 756 0}%
+\special{pa 787 0}%
+\special{fp}%
+\special{pa -787 164}\special{pa -756 157}\special{pa -724 151}\special{pa -693 145}%
+\special{pa -661 139}\special{pa -630 132}\special{pa -598 126}\special{pa -567 120}%
+\special{pa -535 113}\special{pa -504 107}\special{pa -472 101}\special{pa -441 94}%
+\special{pa -409 88}\special{pa -378 82}\special{pa -346 76}\special{pa -315 69}\special{pa -283 63}%
+\special{pa -252 57}\special{pa -220 50}\special{pa -189 44}\special{pa -157 38}\special{pa -126 31}%
+\special{pa -94 25}\special{pa -63 19}\special{pa -31 13}\special{pa 0 6}\special{pa 31 0}%
+\special{pa 63 -6}\special{pa 94 -13}\special{pa 126 -19}\special{pa 157 -25}\special{pa 189 -31}%
+\special{pa 220 -38}\special{pa 252 -44}\special{pa 283 -50}\special{pa 315 -57}\special{pa 346 -63}%
+\special{pa 378 -69}\special{pa 409 -76}\special{pa 441 -82}\special{pa 472 -88}\special{pa 504 -94}%
+\special{pa 535 -101}\special{pa 567 -107}\special{pa 598 -113}\special{pa 630 -120}%
+\special{pa 661 -126}\special{pa 693 -132}\special{pa 724 -139}\special{pa 756 -145}%
+\special{pa 787 -151}%
+\special{fp}%
+\special{pa -724 315}\special{pa -693 302}\special{pa -661 290}\special{pa -630 277}%
+\special{pa -598 265}\special{pa -567 252}\special{pa -535 239}\special{pa -504 227}%
+\special{pa -472 214}\special{pa -441 202}\special{pa -409 189}\special{pa -378 176}%
+\special{pa -346 164}\special{pa -315 151}\special{pa -283 139}\special{pa -252 126}%
+\special{pa -220 113}\special{pa -189 101}\special{pa -157 88}\special{pa -126 76}%
+\special{pa -94 63}\special{pa -63 50}\special{pa -31 38}\special{pa 0 25}\special{pa 31 13}%
+\special{pa 63 0}\special{pa 94 -13}\special{pa 126 -25}\special{pa 157 -38}\special{pa 189 -50}%
+\special{pa 220 -63}\special{pa 252 -76}\special{pa 283 -88}\special{pa 315 -101}%
+\special{pa 346 -113}\special{pa 378 -126}\special{pa 409 -139}\special{pa 441 -151}%
+\special{pa 472 -164}\special{pa 504 -176}\special{pa 535 -189}\special{pa 567 -202}%
+\special{pa 598 -214}\special{pa 630 -227}\special{pa 661 -239}\special{pa 693 -252}%
+\special{pa 724 -265}\special{pa 756 -277}\special{pa 787 -290}%
+\special{fp}%
+\special{pa -430 315}\special{pa -409 302}\special{pa -378 283}\special{pa -346 265}%
+\special{pa -315 246}\special{pa -283 227}\special{pa -252 208}\special{pa -220 189}%
+\special{pa -189 170}\special{pa -157 151}\special{pa -126 132}\special{pa -94 113}%
+\special{pa -63 94}\special{pa -31 76}\special{pa 0 57}\special{pa 31 38}\special{pa 63 19}%
+\special{pa 94 0}\special{pa 126 -19}\special{pa 157 -38}\special{pa 189 -57}\special{pa 220 -76}%
+\special{pa 252 -94}\special{pa 283 -113}\special{pa 315 -132}\special{pa 346 -151}%
+\special{pa 378 -170}\special{pa 409 -189}\special{pa 441 -208}\special{pa 472 -227}%
+\special{pa 504 -246}\special{pa 535 -265}\special{pa 567 -283}\special{pa 598 -302}%
+\special{pa 630 -321}\special{pa 661 -340}\special{pa 693 -359}\special{pa 724 -378}%
+\special{pa 756 -397}\special{pa 787 -416}%
+\special{fp}%
+\special{pa -268 315}\special{pa -252 302}\special{pa -220 277}\special{pa -189 252}%
+\special{pa -157 227}\special{pa -126 202}\special{pa -94 176}\special{pa -63 151}%
+\special{pa -31 126}\special{pa 0 101}\special{pa 31 76}\special{pa 63 50}\special{pa 94 25}%
+\special{pa 126 0}\special{pa 157 -25}\special{pa 189 -50}\special{pa 220 -76}\special{pa 252 -101}%
+\special{pa 283 -126}\special{pa 315 -151}\special{pa 346 -176}\special{pa 378 -202}%
+\special{pa 409 -227}\special{pa 441 -252}\special{pa 472 -277}\special{pa 504 -302}%
+\special{pa 535 -328}\special{pa 567 -353}\special{pa 598 -378}\special{pa 630 -403}%
+\special{pa 661 -428}\special{pa 693 -454}\special{pa 724 -479}\special{pa 756 -504}%
+\special{pa 787 -529}%
+\special{fp}%
+\special{pa -157 315}\special{pa -126 283}\special{pa -94 252}\special{pa -63 220}%
+\special{pa -31 189}\special{pa 0 157}\special{pa 31 126}\special{pa 63 94}\special{pa 94 63}%
+\special{pa 126 31}\special{pa 157 0}\special{pa 189 -31}\special{pa 220 -63}\special{pa 252 -94}%
+\special{pa 283 -126}\special{pa 315 -157}\special{pa 346 -189}\special{pa 378 -220}%
+\special{pa 409 -252}\special{pa 441 -283}\special{pa 472 -315}\special{pa 504 -346}%
+\special{pa 535 -378}\special{pa 567 -409}\special{pa 598 -441}\special{pa 630 -472}%
+\special{pa 661 -504}\special{pa 693 -535}\special{pa 724 -567}\special{pa 756 -598}%
+\special{pa 787 -630}%
+\special{fp}%
+\special{pa -73 315}\special{pa -63 302}\special{pa -31 265}\special{pa 0 227}\special{pa 31 189}%
+\special{pa 63 151}\special{pa 94 113}\special{pa 126 76}\special{pa 157 38}\special{pa 189 0}%
+\special{pa 220 -38}\special{pa 252 -76}\special{pa 283 -113}\special{pa 315 -151}%
+\special{pa 346 -189}\special{pa 378 -227}\special{pa 409 -265}\special{pa 441 -302}%
+\special{pa 472 -340}\special{pa 504 -378}\special{pa 535 -416}\special{pa 567 -454}%
+\special{pa 598 -491}\special{pa 630 -529}\special{pa 661 -567}\special{pa 693 -605}%
+\special{pa 724 -643}\special{pa 756 -680}\special{pa 787 -718}%
+\special{fp}%
+\special{pa -4 315}\special{pa 0 309}\special{pa 31 265}\special{pa 63 220}\special{pa 94 176}%
+\special{pa 126 132}\special{pa 157 88}\special{pa 189 44}\special{pa 220 0}\special{pa 252 -44}%
+\special{pa 283 -88}\special{pa 315 -132}\special{pa 346 -176}\special{pa 378 -220}%
+\special{pa 409 -265}\special{pa 441 -309}\special{pa 472 -353}\special{pa 504 -397}%
+\special{pa 535 -441}\special{pa 567 -485}\special{pa 598 -529}\special{pa 630 -573}%
+\special{pa 661 -617}\special{pa 693 -661}\special{pa 724 -706}\special{pa 756 -750}%
+\special{pa 787 -794}%
+\special{fp}%
+\special{pa 55 315}\special{pa 63 302}\special{pa 94 252}\special{pa 126 202}\special{pa 157 151}%
+\special{pa 189 101}\special{pa 220 50}\special{pa 252 0}\special{pa 283 -50}\special{pa 315 -101}%
+\special{pa 346 -151}\special{pa 378 -202}\special{pa 409 -252}\special{pa 441 -302}%
+\special{pa 472 -353}\special{pa 504 -403}\special{pa 535 -454}\special{pa 567 -504}%
+\special{pa 598 -554}\special{pa 630 -605}\special{pa 661 -655}\special{pa 693 -706}%
+\special{pa 724 -756}\special{pa 756 -806}\special{pa 787 -857}%
+\special{fp}%
+\special{pa 108 315}\special{pa 126 283}\special{pa 157 227}\special{pa 189 170}\special{pa 220 113}%
+\special{pa 252 57}\special{pa 283 0}\special{pa 315 -57}\special{pa 346 -113}\special{pa 378 -170}%
+\special{pa 409 -227}\special{pa 441 -283}\special{pa 472 -340}\special{pa 504 -397}%
+\special{pa 535 -454}\special{pa 567 -510}\special{pa 598 -567}\special{pa 630 -624}%
+\special{pa 661 -680}\special{pa 693 -737}\special{pa 724 -794}\special{pa 756 -850}%
+\special{pa 787 -907}%
+\special{fp}%
+\special{pa 157 315}\special{pa 189 252}\special{pa 220 189}\special{pa 252 126}\special{pa 283 63}%
+\special{pa 315 0}\special{pa 346 -63}\special{pa 378 -126}\special{pa 409 -189}\special{pa 441 -252}%
+\special{pa 472 -315}\special{pa 504 -378}\special{pa 535 -441}\special{pa 567 -504}%
+\special{pa 598 -567}\special{pa 630 -630}\special{pa 661 -693}\special{pa 693 -756}%
+\special{pa 724 -819}\special{pa 756 -882}\special{pa 787 -945}%
+\special{fp}%
+\special{pa 203 315}\special{pa 220 277}\special{pa 252 208}\special{pa 283 139}\special{pa 315 69}%
+\special{pa 346 0}\special{pa 378 -69}\special{pa 409 -139}\special{pa 441 -208}\special{pa 472 -277}%
+\special{pa 504 -346}\special{pa 535 -416}\special{pa 567 -485}\special{pa 598 -554}%
+\special{pa 630 -624}\special{pa 661 -693}\special{pa 693 -762}\special{pa 724 -831}%
+\special{pa 756 -901}\special{pa 787 -970}%
+\special{fp}%
+\special{pa 247 315}\special{pa 252 302}\special{pa 283 227}\special{pa 315 151}\special{pa 346 76}%
+\special{pa 378 0}\special{pa 409 -76}\special{pa 441 -151}\special{pa 472 -227}\special{pa 504 -302}%
+\special{pa 535 -378}\special{pa 567 -454}\special{pa 598 -529}\special{pa 630 -605}%
+\special{pa 661 -680}\special{pa 693 -756}\special{pa 724 -831}\special{pa 756 -907}%
+\special{pa 787 -983}%
+\special{fp}%
+\special{pa 288 315}\special{pa 315 246}\special{pa 346 164}\special{pa 378 82}\special{pa 409 0}%
+\special{pa 441 -82}\special{pa 472 -164}\special{pa 504 -246}\special{pa 535 -328}%
+\special{pa 567 -409}\special{pa 598 -491}\special{pa 630 -573}\special{pa 661 -655}%
+\special{pa 693 -737}\special{pa 724 -819}\special{pa 756 -901}\special{pa 787 -983}%
+\special{fp}%
+\special{pa 328 315}\special{pa 346 265}\special{pa 378 176}\special{pa 409 88}\special{pa 441 0}%
+\special{pa 472 -88}\special{pa 504 -176}\special{pa 535 -265}\special{pa 567 -353}%
+\special{pa 598 -441}\special{pa 630 -529}\special{pa 661 -617}\special{pa 693 -706}%
+\special{pa 724 -794}\special{pa 756 -882}\special{pa 787 -970}%
+\special{fp}%
+\special{pa 367 315}\special{pa 378 283}\special{pa 409 189}\special{pa 441 94}\special{pa 472 0}%
+\special{pa 504 -94}\special{pa 535 -189}\special{pa 567 -283}\special{pa 598 -378}%
+\special{pa 630 -472}\special{pa 661 -567}\special{pa 693 -661}\special{pa 724 -756}%
+\special{pa 756 -850}\special{pa 787 -945}%
+\special{fp}%
+\special{pa 406 315}\special{pa 409 302}\special{pa 441 202}\special{pa 472 101}\special{pa 504 0}%
+\special{pa 535 -101}\special{pa 567 -202}\special{pa 598 -302}\special{pa 630 -403}%
+\special{pa 661 -504}\special{pa 693 -605}\special{pa 724 -706}\special{pa 756 -806}%
+\special{pa 787 -907}%
+\special{fp}%
+\special{pa 443 315}\special{pa 472 214}\special{pa 504 107}\special{pa 535 0}\special{pa 567 -107}%
+\special{pa 598 -214}\special{pa 630 -321}\special{pa 661 -428}\special{pa 693 -535}%
+\special{pa 724 -643}\special{pa 756 -750}\special{pa 787 -857}%
+\special{fp}%
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+\special{pa 630 -227}\special{pa 661 -340}\special{pa 693 -454}\special{pa 724 -567}%
+\special{pa 756 -680}\special{pa 787 -794}%
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+\special{pa 661 -239}\special{pa 693 -359}\special{pa 724 -479}\special{pa 756 -598}%
+\special{pa 787 -718}%
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+\special{pa 693 -252}\special{pa 724 -378}\special{pa 756 -504}\special{pa 787 -630}%
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+%
+%
+\settowidth{\Width}{$y$}\setlength{\Width}{-0.5\Width}%
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+\put(0.0000,8.0500){\hspace*{\Width}\raisebox{\Height}{$y$}}%
+%
+%
+\settowidth{\Width}{O}\setlength{\Width}{-1\Width}%
+\settoheight{\Height}{O}\settodepth{\Depth}{O}\setlength{\Height}{-\Height}%
+\put(-0.0500,-0.0500){\hspace*{\Width}\raisebox{\Height}{O}}%
+%
+%
+\end{picture}}%
\ No newline at end of file
diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/binvsnormal.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/binvsnormal.tex
new file mode 100644
index 00000000000..3b5a66a1c6e
--- /dev/null
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diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/bowdata.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/bowdata.tex
new file mode 100644
index 00000000000..fce1a011048
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/bowdata.tex
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diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/bowdata2.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/bowdata2.tex
new file mode 100644
index 00000000000..586ee3ea59b
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/bowdata2.tex
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+\special{fp}%
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+\end{picture}}%
\ No newline at end of file
diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/boxplot.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/boxplot.tex
new file mode 100644
index 00000000000..4960d1a6527
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/boxplot.tex
@@ -0,0 +1,115 @@
+%%% t4boxplot2.tex 2016-4-23 9:27
+%%% t4boxplot2.sce 2016-4-23 9:27
+{\unitlength=1cm%
+\begin{picture}%
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+\end{picture}}%
\ No newline at end of file
diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/checkCR.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/checkCR.tex
new file mode 100644
index 00000000000..9a938af705d
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/checkCR.tex
@@ -0,0 +1,52 @@
+%%% checkb.tex 2015-1-13 16:15

+%%% checkb.sce 2015-1-13 13:55

+{\unitlength=1cm%

+\begin{picture}%

+(  18.13000,   4.08000)(  -4.96000,  -1.99000)%

+\special{pn 8}%

+%

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+%

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+%

+%

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new file mode 100644
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--- /dev/null
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diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/checkb10.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/checkb10.tex
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diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/checkb11.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/checkb11.tex
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diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/checkb2.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/checkb2.tex
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diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/checkb3.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/checkb3.tex
new file mode 100644
index 00000000000..0d58f3fbf0a
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/checkb3.tex
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diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/checkb4.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/checkb4.tex
new file mode 100644
index 00000000000..fd4ff76165c
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/checkb4.tex
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diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/checkb5.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/checkb5.tex
new file mode 100644
index 00000000000..1ab35d02265
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/checkb5.tex
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diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/checkb6.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/checkb6.tex
new file mode 100644
index 00000000000..33710895347
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/checkb6.tex
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diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/checkb7.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/checkb7.tex
new file mode 100644
index 00000000000..d5b04a7fbd7
--- /dev/null
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diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/checkb8.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/checkb8.tex
new file mode 100644
index 00000000000..11831e8d5f7
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/checkb8.tex
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diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/checkb9.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/checkb9.tex
new file mode 100644
index 00000000000..3096838feaf
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diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/checkbe1.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/checkbe1.tex
new file mode 100644
index 00000000000..46e2c8d5b41
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/checkbe1.tex
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diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/checkbe2.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/checkbe2.tex
new file mode 100644
index 00000000000..bfe04b543c6
--- /dev/null
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diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/checkbe3.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/checkbe3.tex
new file mode 100644
index 00000000000..0d58f3fbf0a
--- /dev/null
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diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/checkbe4.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/checkbe4.tex
new file mode 100644
index 00000000000..1ab35d02265
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/checkbe4.tex
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diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/checkbe5.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/checkbe5.tex
new file mode 100644
index 00000000000..33710895347
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/checkbe5.tex
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diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/checkbe6.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/checkbe6.tex
new file mode 100644
index 00000000000..d5b04a7fbd7
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/checkbe6.tex
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diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/checkbe7.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/checkbe7.tex
new file mode 100644
index 00000000000..d0670574104
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/checkbe7.tex
@@ -0,0 +1,105 @@
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diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/checkbe8.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/checkbe8.tex
new file mode 100644
index 00000000000..8ccf17306ba
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/checkbe8.tex
@@ -0,0 +1,100 @@
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diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/checkbmain.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/checkbmain.tex
new file mode 100644
index 00000000000..239605d30db
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/checkbmain.tex
@@ -0,0 +1,17 @@
+\documentclass{article}

+\usepackage{ketpic,ketlayer}

+\usepackage{amsmath,amssymb}

+\usepackage{graphicx,color}

+

+\def\ketcindy{{K\kern-.20em%

+\lower.5ex\hbox{E}\kern-.125em{TCindy}}}

+

+\setmargin{20}{20}{20}{20}

+

+\begin{document}

+checkb

+\vspace{5mm}

+

+\input{checkb.tex}

+

+\end{document}

diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/checkbs1.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/checkbs1.tex
new file mode 100644
index 00000000000..c9c2972d3d1
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/checkbs1.tex
@@ -0,0 +1,61 @@
+%%% checkb.tex 2015-1-13 17:48

+%%% checkb.sce 2015-1-13 13:55

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diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/checkbs2.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/checkbs2.tex
new file mode 100644
index 00000000000..61287aa9e99
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/checkbs2.tex
@@ -0,0 +1,56 @@
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diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/checkmc1.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/checkmc1.tex
new file mode 100644
index 00000000000..fd4ff76165c
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/checkmc1.tex
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diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/checkmp1.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/checkmp1.tex
new file mode 100644
index 00000000000..11831e8d5f7
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/checkmp1.tex
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diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/checkmp2.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/checkmp2.tex
new file mode 100644
index 00000000000..02dea07a87e
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/checkmp2.tex
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diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/checkmp3.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/checkmp3.tex
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index 00000000000..3096838feaf
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/checkmp3.tex
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diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/checkmp4.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/checkmp4.tex
new file mode 100644
index 00000000000..197c6ab067f
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/checkmp4.tex
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diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/checksm1.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/checksm1.tex
new file mode 100644
index 00000000000..9231cfedc3e
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diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/checksm2.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/checksm2.tex
new file mode 100644
index 00000000000..90116465973
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diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/checksy1.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/checksy1.tex
new file mode 100644
index 00000000000..0d1648096bb
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diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/checksy2.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/checksy2.tex
new file mode 100644
index 00000000000..b5db65ec21f
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/checksy2.tex
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diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/circledata1.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/circledata1.tex
new file mode 100644
index 00000000000..769c645a7c2
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/circledata1.tex
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diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/circledata2.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/circledata2.tex
new file mode 100644
index 00000000000..082e405e586
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/circledata2.tex
@@ -0,0 +1,43 @@
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diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/circledata3.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/circledata3.tex
new file mode 100644
index 00000000000..187f612f4c0
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/circledata3.tex
@@ -0,0 +1,43 @@
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diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/circledata4.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/circledata4.tex
new file mode 100644
index 00000000000..0b3b2007e77
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/circledata4.tex
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+\special{pa -2307 -104}\special{pa -2265 -14}\special{pa -2212 69}\special{pa -2149 145}%
+\special{pa -2077 213}\special{pa -1997 271}\special{pa -1910 319}\special{pa -1818 355}%
+\special{pa -1722 380}\special{pa -1624 392}\special{pa -1525 392}\special{pa -1427 380}%
+\special{pa -1331 355}\special{pa -1240 319}\special{pa -1153 271}\special{pa -1073 213}%
+\special{pa -1001 145}\special{pa -938 69}\special{pa -885 -14}\special{pa -843 -104}%
+\special{pa -812 -198}\special{pa -794 -295}\special{pa -787 -394}%
+\special{fp}%
+\special{pa -787 -394}\special{pa -1181 -1076}\special{pa -1969 -1076}\special{pa -2362 -394}%
+\special{pa -1969 288}\special{pa -1181 288}\special{pa -787 -394}%
+\special{fp}%
+\end{picture}}%
\ No newline at end of file
diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/circledata5.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/circledata5.tex
new file mode 100644
index 00000000000..86a45a73cd3
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/circledata5.tex
@@ -0,0 +1,27 @@
+%%% test.tex 2014-10-18 19:7
+%%% test.sce 2014-10-18 19:7
+{\unitlength=1cm%
+\begin{picture}%
+(   5.00000,   5.00000)(  -6.50000,  -1.50000)%
+\special{pn 8}%
+%
+\special{pa -1566 -402}\special{pa -1573 -405}\special{pa -1580 -404}\special{pa -1585 -399}%
+\special{pa -1586 -392}\special{pa -1583 -385}\special{pa -1577 -382}\special{pa -1569 -383}%
+\special{pa -1564 -388}\special{pa -1563 -396}\special{pa -1566 -402}\special{sh 1}\special{fp}%
+\special{pa -779 -402}\special{pa -786 -405}\special{pa -793 -404}\special{pa -798 -399}%
+\special{pa -799 -392}\special{pa -796 -385}\special{pa -789 -382}\special{pa -782 -383}%
+\special{pa -777 -388}\special{pa -776 -396}\special{pa -779 -402}\special{sh 1}\special{fp}%
+\settowidth{\Width}{A}\setlength{\Width}{0\Width}%
+\settoheight{\Height}{A}\settodepth{\Depth}{A}\setlength{\Height}{\Depth}%
+\put(-3.9500,1.0500){\hspace*{\Width}\raisebox{\Height}{A}}%
+%
+%
+\settowidth{\Width}{B}\setlength{\Width}{0\Width}%
+\settoheight{\Height}{B}\settodepth{\Depth}{B}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}%
+\put(-1.9500,1.0000){\hspace*{\Width}\raisebox{\Height}{B}}%
+%
+%
+\special{pa -893 -787}\special{pa -1575 -1181}\special{pa -2257 -787}\special{pa -2257 0}%
+\special{pa -1575 394}\special{pa -893 0}\special{pa -893 -787}%
+\special{fp}%
+\end{picture}}%
\ No newline at end of file
diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/colortable1-34.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/colortable1-34.tex
new file mode 100644
index 00000000000..0138da07bd0
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/colortable1-34.tex
@@ -0,0 +1,1936 @@
+%%% colortable1-34.tex 2015-2-8 17:25
+%%% colortable1-34.sce 2015-2-8 17:25
+{\unitlength=1cm%
+\begin{picture}%
+(  15.00000,  17.50000)(  -0.00000,  -0.00000)%
+\special{pn 8}%
+%
+\color[cmyk]{0.15,0,0.69,0}%
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+\put(10.7500,16.7500){\hspace*{\Width}\raisebox{\Height}{あいうえお}}%
+%
+%
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+\special{pa 4626 -6693}\special{sh 1}\special{ip}%
+\color[cmyk]{0,0,1,0}%
+\settowidth{\Width}{あいうえお}\setlength{\Width}{-0.5\Width}%
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+\put(10.7500,16.2500){\hspace*{\Width}\raisebox{\Height}{あいうえお}}%
+%
+%
+\special{pa 4626 -6496}\special{pa 4626 -6299}\special{pa 5906 -6299}\special{pa 5906 -6496}%
+\special{pa 4626 -6496}\special{sh 1}\special{ip}%
+\color[cmyk]{0,0.1,0.84,0}%
+\settowidth{\Width}{あいうえお}\setlength{\Width}{-0.5\Width}%
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+\put(10.7500,15.7500){\hspace*{\Width}\raisebox{\Height}{あいうえお}}%
+%
+%
+\special{pa 4626 -6299}\special{pa 4626 -6102}\special{pa 5906 -6102}\special{pa 5906 -6299}%
+\special{pa 4626 -6299}\special{sh 1}\special{ip}%
+\color[cmyk]{0,0.29,0.84,0}%
+\settowidth{\Width}{あいうえお}\setlength{\Width}{-0.5\Width}%
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+\put(10.7500,15.2500){\hspace*{\Width}\raisebox{\Height}{あいうえお}}%
+%
+%
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+\special{pa 4626 -6102}\special{sh 1}\special{ip}%
+\color[cmyk]{0,0.32,0.52,0}%
+\settowidth{\Width}{あいうえお}\setlength{\Width}{-0.5\Width}%
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+\put(10.7500,14.7500){\hspace*{\Width}\raisebox{\Height}{あいうえお}}%
+%
+%
+\special{pa 4626 -5906}\special{pa 4626 -5709}\special{pa 5906 -5709}\special{pa 5906 -5906}%
+\special{pa 4626 -5906}\special{sh 1}\special{ip}%
+\color[cmyk]{0,0.5,0.7,0}%
+\settowidth{\Width}{あいうえお}\setlength{\Width}{-0.5\Width}%
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+\put(10.7500,14.2500){\hspace*{\Width}\raisebox{\Height}{あいうえお}}%
+%
+%
+\special{pa 4626 -5709}\special{pa 4626 -5512}\special{pa 5906 -5512}\special{pa 5906 -5709}%
+\special{pa 4626 -5709}\special{sh 1}\special{ip}%
+\color[cmyk]{0,0.46,0.5,0}%
+\settowidth{\Width}{あいうえお}\setlength{\Width}{-0.5\Width}%
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+\put(10.7500,13.7500){\hspace*{\Width}\raisebox{\Height}{あいうえお}}%
+%
+%
+\special{pa 4626 -5512}\special{pa 4626 -5315}\special{pa 5906 -5315}\special{pa 5906 -5512}%
+\special{pa 4626 -5512}\special{sh 1}\special{ip}%
+\color[cmyk]{0,0.42,1,0}%
+\settowidth{\Width}{あいうえお}\setlength{\Width}{-0.5\Width}%
+\settoheight{\Height}{あいうえお}\settodepth{\Depth}{あいうえお}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}%
+\put(10.7500,13.2500){\hspace*{\Width}\raisebox{\Height}{あいうえお}}%
+%
+%
+\special{pa 4626 -5315}\special{pa 4626 -5118}\special{pa 5906 -5118}\special{pa 5906 -5315}%
+\special{pa 4626 -5315}\special{sh 1}\special{ip}%
+\color[cmyk]{0,0.61,0.87,0}%
+\settowidth{\Width}{あいうえお}\setlength{\Width}{-0.5\Width}%
+\settoheight{\Height}{あいうえお}\settodepth{\Depth}{あいうえお}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}%
+\put(10.7500,12.7500){\hspace*{\Width}\raisebox{\Height}{あいうえお}}%
+%
+%
+\special{pa 4626 -5118}\special{pa 4626 -4921}\special{pa 5906 -4921}\special{pa 5906 -5118}%
+\special{pa 4626 -5118}\special{sh 1}\special{ip}%
+\color[cmyk]{0,0.51,1,0}%
+\settowidth{\Width}{あいうえお}\setlength{\Width}{-0.5\Width}%
+\settoheight{\Height}{あいうえお}\settodepth{\Depth}{あいうえお}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}%
+\put(10.7500,12.2500){\hspace*{\Width}\raisebox{\Height}{あいうえお}}%
+%
+%
+\special{pa 4626 -4921}\special{pa 4626 -4724}\special{pa 5906 -4724}\special{pa 5906 -4921}%
+\special{pa 4626 -4921}\special{sh 1}\special{ip}%
+\color[cmyk]{0,0.75,1,0.24}%
+\settowidth{\Width}{あいうえお}\setlength{\Width}{-0.5\Width}%
+\settoheight{\Height}{あいうえお}\settodepth{\Depth}{あいうえお}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}%
+\put(10.7500,11.7500){\hspace*{\Width}\raisebox{\Height}{あいうえお}}%
+%
+%
+\special{pa 4626 -4724}\special{pa 4626 -4528}\special{pa 5906 -4528}\special{pa 5906 -4724}%
+\special{pa 4626 -4724}\special{sh 1}\special{ip}%
+\color[cmyk]{0,0.77,0.87,0}%
+\settowidth{\Width}{あいうえお}\setlength{\Width}{-0.5\Width}%
+\settoheight{\Height}{あいうえお}\settodepth{\Depth}{あいうえお}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}%
+\put(10.7500,11.2500){\hspace*{\Width}\raisebox{\Height}{あいうえお}}%
+%
+%
+\special{pa 4626 -4528}\special{pa 4626 -4331}\special{pa 5906 -4331}\special{pa 5906 -4528}%
+\special{pa 4626 -4528}\special{sh 1}\special{ip}%
+\color[cmyk]{0,0.85,0.87,0.35}%
+\settowidth{\Width}{あいうえお}\setlength{\Width}{-0.5\Width}%
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+\put(10.7500,10.7500){\hspace*{\Width}\raisebox{\Height}{あいうえお}}%
+%
+%
+\special{pa 4626 -4331}\special{pa 4626 -4134}\special{pa 5906 -4134}\special{pa 5906 -4331}%
+\special{pa 4626 -4331}\special{sh 1}\special{ip}%
+\color[cmyk]{0,0.87,0.68,0.32}%
+\settowidth{\Width}{あいうえお}\setlength{\Width}{-0.5\Width}%
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+\put(10.7500,10.2500){\hspace*{\Width}\raisebox{\Height}{あいうえお}}%
+%
+%
+\special{pa 4626 -4134}\special{pa 4626 -3937}\special{pa 5906 -3937}\special{pa 5906 -4134}%
+\special{pa 4626 -4134}\special{sh 1}\special{ip}%
+\color[cmyk]{0,0.89,0.94,0.28}%
+\settowidth{\Width}{あいうえお}\setlength{\Width}{-0.5\Width}%
+\settoheight{\Height}{あいうえお}\settodepth{\Depth}{あいうえお}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}%
+\put(10.7500,9.7500){\hspace*{\Width}\raisebox{\Height}{あいうえお}}%
+%
+%
+\special{pa 4626 -3937}\special{pa 4626 -3740}\special{pa 5906 -3740}\special{pa 5906 -3937}%
+\special{pa 4626 -3937}\special{sh 1}\special{ip}%
+\color[cmyk]{0,1,1,0}%
+\settowidth{\Width}{あいうえお}\setlength{\Width}{-0.5\Width}%
+\settoheight{\Height}{あいうえお}\settodepth{\Depth}{あいうえお}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}%
+\put(10.7500,9.2500){\hspace*{\Width}\raisebox{\Height}{あいうえお}}%
+%
+%
+\special{pa 4626 -3740}\special{pa 4626 -3543}\special{pa 5906 -3543}\special{pa 5906 -3740}%
+\special{pa 4626 -3740}\special{sh 1}\special{ip}%
+\color[cmyk]{0,1,0.5,0}%
+\settowidth{\Width}{あいうえお}\setlength{\Width}{-0.5\Width}%
+\settoheight{\Height}{あいうえお}\settodepth{\Depth}{あいうえお}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}%
+\put(10.7500,8.7500){\hspace*{\Width}\raisebox{\Height}{あいうえお}}%
+%
+%
+\special{pa 4626 -3543}\special{pa 4626 -3346}\special{pa 5906 -3346}\special{pa 5906 -3543}%
+\special{pa 4626 -3543}\special{sh 1}\special{ip}%
+\color[cmyk]{0,1,0.13,0}%
+\settowidth{\Width}{あいうえお}\setlength{\Width}{-0.5\Width}%
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+\put(10.7500,8.2500){\hspace*{\Width}\raisebox{\Height}{あいうえお}}%
+%
+%
+\special{pa 4626 -3346}\special{pa 4626 -3150}\special{pa 5906 -3150}\special{pa 5906 -3346}%
+\special{pa 4626 -3346}\special{sh 1}\special{ip}%
+\color[cmyk]{0,0.96,0.39,0}%
+\settowidth{\Width}{あいうえお}\setlength{\Width}{-0.5\Width}%
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+\put(10.7500,7.7500){\hspace*{\Width}\raisebox{\Height}{あいうえお}}%
+%
+%
+\special{pa 4626 -3150}\special{pa 4626 -2953}\special{pa 5906 -2953}\special{pa 5906 -3150}%
+\special{pa 4626 -3150}\special{sh 1}\special{ip}%
+\color[cmyk]{0,0.53,0.38,0}%
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+\put(10.7500,7.2500){\hspace*{\Width}\raisebox{\Height}{あいうえお}}%
+%
+%
+\special{pa 4626 -2953}\special{pa 4626 -2756}\special{pa 5906 -2756}\special{pa 5906 -2953}%
+\special{pa 4626 -2953}\special{sh 1}\special{ip}%
+\color[cmyk]{0,0.63,0,0}%
+\settowidth{\Width}{あいうえお}\setlength{\Width}{-0.5\Width}%
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+\put(10.7500,6.7500){\hspace*{\Width}\raisebox{\Height}{あいうえお}}%
+%
+%
+\special{pa 4626 -2756}\special{pa 4626 -2559}\special{pa 5906 -2559}\special{pa 5906 -2756}%
+\special{pa 4626 -2756}\special{sh 1}\special{ip}%
+\color[cmyk]{0,1,0,0}%
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+\put(10.7500,6.2500){\hspace*{\Width}\raisebox{\Height}{あいうえお}}%
+%
+%
+\special{pa 4626 -2559}\special{pa 4626 -2362}\special{pa 5906 -2362}\special{pa 5906 -2559}%
+\special{pa 4626 -2559}\special{sh 1}\special{ip}%
+\color[cmyk]{0,0.81,0,0}%
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+\put(10.7500,5.7500){\hspace*{\Width}\raisebox{\Height}{あいうえお}}%
+%
+%
+\special{pa 4626 -2362}\special{pa 4626 -2165}\special{pa 5906 -2165}\special{pa 5906 -2362}%
+\special{pa 4626 -2362}\special{sh 1}\special{ip}%
+\color[cmyk]{0,0.82,0,0}%
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+\put(10.7500,5.2500){\hspace*{\Width}\raisebox{\Height}{あいうえお}}%
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+\special{pa 4626 -2165}\special{pa 4626 -1969}\special{pa 5906 -1969}\special{pa 5906 -2165}%
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+\color[cmyk]{0.34,0.9,0,0.02}%
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+\put(10.7500,4.7500){\hspace*{\Width}\raisebox{\Height}{あいうえお}}%
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+%
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+\color[cmyk]{0.07,0.9,0,0.34}%
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+%
+%
+\special{pa 4626 -1772}\special{pa 4626 -1575}\special{pa 5906 -1575}\special{pa 5906 -1772}%
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+\color[cmyk]{0.47,0.91,0,0.08}%
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+%
+%
+\special{pa 4626 -1575}\special{pa 4626 -1378}\special{pa 5906 -1378}\special{pa 5906 -1575}%
+\special{pa 4626 -1575}\special{sh 1}\special{ip}%
+\color[cmyk]{0,0.48,0,0}%
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+\put(10.7500,3.2500){\hspace*{\Width}\raisebox{\Height}{あいうえお}}%
+%
+%
+\special{pa 4626 -1378}\special{pa 4626 -1181}\special{pa 5906 -1181}\special{pa 5906 -1378}%
+\special{pa 4626 -1378}\special{sh 1}\special{ip}%
+\color[cmyk]{0.12,0.59,0,0}%
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+\put(10.7500,2.7500){\hspace*{\Width}\raisebox{\Height}{あいうえお}}%
+%
+%
+\special{pa 4626 -1181}\special{pa 4626 -984}\special{pa 5906 -984}\special{pa 5906 -1181}%
+\special{pa 4626 -1181}\special{sh 1}\special{ip}%
+\color[cmyk]{0.32,0.64,0,0}%
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+\put(10.7500,2.2500){\hspace*{\Width}\raisebox{\Height}{あいうえお}}%
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+%
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+\color[cmyk]{0.4,0.8,0.2,0}%
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+%
+%
+\special{pa 4626 -787}\special{pa 4626 -591}\special{pa 5906 -591}\special{pa 5906 -787}%
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+\color[cmyk]{0.45,0.86,0,0}%
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+%
+%
+\special{pa 4626 -591}\special{pa 4626 -394}\special{pa 5906 -394}\special{pa 5906 -591}%
+\special{pa 4626 -591}\special{sh 1}\special{ip}%
+\color[cmyk]{0.5,1,0,0}%
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+%
+%
+\special{pa 4626 -394}\special{pa 4626 -197}\special{pa 5906 -197}\special{pa 5906 -394}%
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+\color[cmyk]{0.79,0.88,0,0}%
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+\special{pa 4626 -197}\special{pa 4626 0}\special{pa 5906 0}\special{pa 5906 -197}%
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+\color[cmyk]{0,0,0,1}%
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diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/colortable35-68.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/colortable35-68.tex
new file mode 100644
index 00000000000..c89b555d804
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/colortable35-68.tex
@@ -0,0 +1,1934 @@
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+%%% colortable35-68.sce 2015-2-6 18:29
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+\put(1.3800,1.7500){\hspace*{\Width}\raisebox{\Height}{}}%
+%
+%
+\settowidth{\Width}{tan}\setlength{\Width}{-0.5\Width}%
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+\put(4.5000,1.7500){\hspace*{\Width}\raisebox{\Height}{tan}}%
+%
+%
+\settowidth{\Width}{[0.14,0.42,0.56,0]}\setlength{\Width}{-0.5\Width}%
+\settoheight{\Height}{[0.14,0.42,0.56,0]}\settodepth{\Depth}{[0.14,0.42,0.56,0]}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}%
+\put(8.0000,1.7500){\hspace*{\Width}\raisebox{\Height}{[0.14,0.42,0.56,0]}}%
+%
+%
+\settowidth{\Width}{}\setlength{\Width}{-0.5\Width}%
+\settoheight{\Height}{}\settodepth{\Depth}{}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}%
+\put(10.7500,1.7500){\hspace*{\Width}\raisebox{\Height}{}}%
+%
+%
+\settowidth{\Width}{}\setlength{\Width}{-0.5\Width}%
+\settoheight{\Height}{}\settodepth{\Depth}{}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}%
+\put(13.3800,1.7500){\hspace*{\Width}\raisebox{\Height}{}}%
+%
+%
+\settowidth{\Width}{灰色}\setlength{\Width}{-0.5\Width}%
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+\put(1.3800,1.2500){\hspace*{\Width}\raisebox{\Height}{灰色}}%
+%
+%
+\settowidth{\Width}{gray}\setlength{\Width}{-0.5\Width}%
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+\put(4.5000,1.2500){\hspace*{\Width}\raisebox{\Height}{gray}}%
+%
+%
+\settowidth{\Width}{[0,0,0,0.5]}\setlength{\Width}{-0.5\Width}%
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+\put(8.0000,1.2500){\hspace*{\Width}\raisebox{\Height}{[0,0,0,0.5]}}%
+%
+%
+\settowidth{\Width}{}\setlength{\Width}{-0.5\Width}%
+\settoheight{\Height}{}\settodepth{\Depth}{}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}%
+\put(10.7500,1.2500){\hspace*{\Width}\raisebox{\Height}{}}%
+%
+%
+\settowidth{\Width}{}\setlength{\Width}{-0.5\Width}%
+\settoheight{\Height}{}\settodepth{\Depth}{}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}%
+\put(13.3800,1.2500){\hspace*{\Width}\raisebox{\Height}{}}%
+%
+%
+\settowidth{\Width}{黒}\setlength{\Width}{-0.5\Width}%
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+\put(1.3800,0.7500){\hspace*{\Width}\raisebox{\Height}{黒}}%
+%
+%
+\settowidth{\Width}{black}\setlength{\Width}{-0.5\Width}%
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+\put(4.5000,0.7500){\hspace*{\Width}\raisebox{\Height}{black}}%
+%
+%
+\settowidth{\Width}{[0,0,0,1]}\setlength{\Width}{-0.5\Width}%
+\settoheight{\Height}{[0,0,0,1]}\settodepth{\Depth}{[0,0,0,1]}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}%
+\put(8.0000,0.7500){\hspace*{\Width}\raisebox{\Height}{[0,0,0,1]}}%
+%
+%
+\settowidth{\Width}{}\setlength{\Width}{-0.5\Width}%
+\settoheight{\Height}{}\settodepth{\Depth}{}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}%
+\put(10.7500,0.7500){\hspace*{\Width}\raisebox{\Height}{}}%
+%
+%
+\settowidth{\Width}{}\setlength{\Width}{-0.5\Width}%
+\settoheight{\Height}{}\settodepth{\Depth}{}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}%
+\put(13.3800,0.7500){\hspace*{\Width}\raisebox{\Height}{}}%
+%
+%
+\settowidth{\Width}{白}\setlength{\Width}{-0.5\Width}%
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+\put(1.3800,0.2500){\hspace*{\Width}\raisebox{\Height}{白}}%
+%
+%
+\settowidth{\Width}{white}\setlength{\Width}{-0.5\Width}%
+\settoheight{\Height}{white}\settodepth{\Depth}{white}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}%
+\put(4.5000,0.2500){\hspace*{\Width}\raisebox{\Height}{white}}%
+%
+%
+\settowidth{\Width}{[0,0,0,0]}\setlength{\Width}{-0.5\Width}%
+\settoheight{\Height}{[0,0,0,0]}\settodepth{\Depth}{[0,0,0,0]}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}%
+\put(8.0000,0.2500){\hspace*{\Width}\raisebox{\Height}{[0,0,0,0]}}%
+%
+%
+\settowidth{\Width}{}\setlength{\Width}{-0.5\Width}%
+\settoheight{\Height}{}\settodepth{\Depth}{}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}%
+\put(10.7500,0.2500){\hspace*{\Width}\raisebox{\Height}{}}%
+%
+%
+\settowidth{\Width}{}\setlength{\Width}{-0.5\Width}%
+\settoheight{\Height}{}\settodepth{\Depth}{}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}%
+\put(13.3800,0.2500){\hspace*{\Width}\raisebox{\Height}{}}%
+%
+%
+\end{picture}}%
\ No newline at end of file
diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/colortablee1-34.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/colortablee1-34.tex
new file mode 100644
index 00000000000..0ee3653ac34
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/colortablee1-34.tex
@@ -0,0 +1,1936 @@
+%%% colortable1-34.tex 2015-2-8 17:25
+%%% colortable1-34.sce 2015-2-8 17:25
+{\unitlength=1cm%
+\begin{picture}%
+(  15.00000,  17.50000)(  -0.00000,  -0.00000)%
+\special{pn 8}%
+%
+\color[cmyk]{0.15,0,0.69,0}%
+\settowidth{\Width}{あいうえお}\setlength{\Width}{-0.5\Width}%
+\settoheight{\Height}{あいうえお}\settodepth{\Depth}{あいうえお}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}%
+\put(10.7500,16.7500){\hspace*{\Width}\raisebox{\Height}{あいうえお}}%
+%
+%
+\special{pa 4626 -6693}\special{pa 4626 -6496}\special{pa 5906 -6496}\special{pa 5906 -6693}%
+\special{pa 4626 -6693}\special{sh 1}\special{ip}%
+\color[cmyk]{0,0,1,0}%
+\settowidth{\Width}{あいうえお}\setlength{\Width}{-0.5\Width}%
+\settoheight{\Height}{あいうえお}\settodepth{\Depth}{あいうえお}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}%
+\put(10.7500,16.2500){\hspace*{\Width}\raisebox{\Height}{あいうえお}}%
+%
+%
+\special{pa 4626 -6496}\special{pa 4626 -6299}\special{pa 5906 -6299}\special{pa 5906 -6496}%
+\special{pa 4626 -6496}\special{sh 1}\special{ip}%
+\color[cmyk]{0,0.1,0.84,0}%
+\settowidth{\Width}{あいうえお}\setlength{\Width}{-0.5\Width}%
+\settoheight{\Height}{あいうえお}\settodepth{\Depth}{あいうえお}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}%
+\put(10.7500,15.7500){\hspace*{\Width}\raisebox{\Height}{あいうえお}}%
+%
+%
+\special{pa 4626 -6299}\special{pa 4626 -6102}\special{pa 5906 -6102}\special{pa 5906 -6299}%
+\special{pa 4626 -6299}\special{sh 1}\special{ip}%
+\color[cmyk]{0,0.29,0.84,0}%
+\settowidth{\Width}{あいうえお}\setlength{\Width}{-0.5\Width}%
+\settoheight{\Height}{あいうえお}\settodepth{\Depth}{あいうえお}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}%
+\put(10.7500,15.2500){\hspace*{\Width}\raisebox{\Height}{あいうえお}}%
+%
+%
+\special{pa 4626 -6102}\special{pa 4626 -5906}\special{pa 5906 -5906}\special{pa 5906 -6102}%
+\special{pa 4626 -6102}\special{sh 1}\special{ip}%
+\color[cmyk]{0,0.32,0.52,0}%
+\settowidth{\Width}{あいうえお}\setlength{\Width}{-0.5\Width}%
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+\put(10.7500,14.7500){\hspace*{\Width}\raisebox{\Height}{あいうえお}}%
+%
+%
+\special{pa 4626 -5906}\special{pa 4626 -5709}\special{pa 5906 -5709}\special{pa 5906 -5906}%
+\special{pa 4626 -5906}\special{sh 1}\special{ip}%
+\color[cmyk]{0,0.5,0.7,0}%
+\settowidth{\Width}{あいうえお}\setlength{\Width}{-0.5\Width}%
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+\put(10.7500,14.2500){\hspace*{\Width}\raisebox{\Height}{あいうえお}}%
+%
+%
+\special{pa 4626 -5709}\special{pa 4626 -5512}\special{pa 5906 -5512}\special{pa 5906 -5709}%
+\special{pa 4626 -5709}\special{sh 1}\special{ip}%
+\color[cmyk]{0,0.46,0.5,0}%
+\settowidth{\Width}{あいうえお}\setlength{\Width}{-0.5\Width}%
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+\put(10.7500,13.7500){\hspace*{\Width}\raisebox{\Height}{あいうえお}}%
+%
+%
+\special{pa 4626 -5512}\special{pa 4626 -5315}\special{pa 5906 -5315}\special{pa 5906 -5512}%
+\special{pa 4626 -5512}\special{sh 1}\special{ip}%
+\color[cmyk]{0,0.42,1,0}%
+\settowidth{\Width}{あいうえお}\setlength{\Width}{-0.5\Width}%
+\settoheight{\Height}{あいうえお}\settodepth{\Depth}{あいうえお}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}%
+\put(10.7500,13.2500){\hspace*{\Width}\raisebox{\Height}{あいうえお}}%
+%
+%
+\special{pa 4626 -5315}\special{pa 4626 -5118}\special{pa 5906 -5118}\special{pa 5906 -5315}%
+\special{pa 4626 -5315}\special{sh 1}\special{ip}%
+\color[cmyk]{0,0.61,0.87,0}%
+\settowidth{\Width}{あいうえお}\setlength{\Width}{-0.5\Width}%
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+\put(10.7500,12.7500){\hspace*{\Width}\raisebox{\Height}{あいうえお}}%
+%
+%
+\special{pa 4626 -5118}\special{pa 4626 -4921}\special{pa 5906 -4921}\special{pa 5906 -5118}%
+\special{pa 4626 -5118}\special{sh 1}\special{ip}%
+\color[cmyk]{0,0.51,1,0}%
+\settowidth{\Width}{あいうえお}\setlength{\Width}{-0.5\Width}%
+\settoheight{\Height}{あいうえお}\settodepth{\Depth}{あいうえお}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}%
+\put(10.7500,12.2500){\hspace*{\Width}\raisebox{\Height}{あいうえお}}%
+%
+%
+\special{pa 4626 -4921}\special{pa 4626 -4724}\special{pa 5906 -4724}\special{pa 5906 -4921}%
+\special{pa 4626 -4921}\special{sh 1}\special{ip}%
+\color[cmyk]{0,0.75,1,0.24}%
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+\put(10.7500,11.7500){\hspace*{\Width}\raisebox{\Height}{あいうえお}}%
+%
+%
+\special{pa 4626 -4724}\special{pa 4626 -4528}\special{pa 5906 -4528}\special{pa 5906 -4724}%
+\special{pa 4626 -4724}\special{sh 1}\special{ip}%
+\color[cmyk]{0,0.77,0.87,0}%
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+\put(10.7500,11.2500){\hspace*{\Width}\raisebox{\Height}{あいうえお}}%
+%
+%
+\special{pa 4626 -4528}\special{pa 4626 -4331}\special{pa 5906 -4331}\special{pa 5906 -4528}%
+\special{pa 4626 -4528}\special{sh 1}\special{ip}%
+\color[cmyk]{0,0.85,0.87,0.35}%
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+\put(10.7500,10.7500){\hspace*{\Width}\raisebox{\Height}{あいうえお}}%
+%
+%
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+\special{pa 4626 -4331}\special{sh 1}\special{ip}%
+\color[cmyk]{0,0.87,0.68,0.32}%
+\settowidth{\Width}{あいうえお}\setlength{\Width}{-0.5\Width}%
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+\put(10.7500,10.2500){\hspace*{\Width}\raisebox{\Height}{あいうえお}}%
+%
+%
+\special{pa 4626 -4134}\special{pa 4626 -3937}\special{pa 5906 -3937}\special{pa 5906 -4134}%
+\special{pa 4626 -4134}\special{sh 1}\special{ip}%
+\color[cmyk]{0,0.89,0.94,0.28}%
+\settowidth{\Width}{あいうえお}\setlength{\Width}{-0.5\Width}%
+\settoheight{\Height}{あいうえお}\settodepth{\Depth}{あいうえお}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}%
+\put(10.7500,9.7500){\hspace*{\Width}\raisebox{\Height}{あいうえお}}%
+%
+%
+\special{pa 4626 -3937}\special{pa 4626 -3740}\special{pa 5906 -3740}\special{pa 5906 -3937}%
+\special{pa 4626 -3937}\special{sh 1}\special{ip}%
+\color[cmyk]{0,1,1,0}%
+\settowidth{\Width}{あいうえお}\setlength{\Width}{-0.5\Width}%
+\settoheight{\Height}{あいうえお}\settodepth{\Depth}{あいうえお}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}%
+\put(10.7500,9.2500){\hspace*{\Width}\raisebox{\Height}{あいうえお}}%
+%
+%
+\special{pa 4626 -3740}\special{pa 4626 -3543}\special{pa 5906 -3543}\special{pa 5906 -3740}%
+\special{pa 4626 -3740}\special{sh 1}\special{ip}%
+\color[cmyk]{0,1,0.5,0}%
+\settowidth{\Width}{あいうえお}\setlength{\Width}{-0.5\Width}%
+\settoheight{\Height}{あいうえお}\settodepth{\Depth}{あいうえお}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}%
+\put(10.7500,8.7500){\hspace*{\Width}\raisebox{\Height}{あいうえお}}%
+%
+%
+\special{pa 4626 -3543}\special{pa 4626 -3346}\special{pa 5906 -3346}\special{pa 5906 -3543}%
+\special{pa 4626 -3543}\special{sh 1}\special{ip}%
+\color[cmyk]{0,1,0.13,0}%
+\settowidth{\Width}{あいうえお}\setlength{\Width}{-0.5\Width}%
+\settoheight{\Height}{あいうえお}\settodepth{\Depth}{あいうえお}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}%
+\put(10.7500,8.2500){\hspace*{\Width}\raisebox{\Height}{あいうえお}}%
+%
+%
+\special{pa 4626 -3346}\special{pa 4626 -3150}\special{pa 5906 -3150}\special{pa 5906 -3346}%
+\special{pa 4626 -3346}\special{sh 1}\special{ip}%
+\color[cmyk]{0,0.96,0.39,0}%
+\settowidth{\Width}{あいうえお}\setlength{\Width}{-0.5\Width}%
+\settoheight{\Height}{あいうえお}\settodepth{\Depth}{あいうえお}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}%
+\put(10.7500,7.7500){\hspace*{\Width}\raisebox{\Height}{あいうえお}}%
+%
+%
+\special{pa 4626 -3150}\special{pa 4626 -2953}\special{pa 5906 -2953}\special{pa 5906 -3150}%
+\special{pa 4626 -3150}\special{sh 1}\special{ip}%
+\color[cmyk]{0,0.53,0.38,0}%
+\settowidth{\Width}{あいうえお}\setlength{\Width}{-0.5\Width}%
+\settoheight{\Height}{あいうえお}\settodepth{\Depth}{あいうえお}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}%
+\put(10.7500,7.2500){\hspace*{\Width}\raisebox{\Height}{あいうえお}}%
+%
+%
+\special{pa 4626 -2953}\special{pa 4626 -2756}\special{pa 5906 -2756}\special{pa 5906 -2953}%
+\special{pa 4626 -2953}\special{sh 1}\special{ip}%
+\color[cmyk]{0,0.63,0,0}%
+\settowidth{\Width}{あいうえお}\setlength{\Width}{-0.5\Width}%
+\settoheight{\Height}{あいうえお}\settodepth{\Depth}{あいうえお}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}%
+\put(10.7500,6.7500){\hspace*{\Width}\raisebox{\Height}{あいうえお}}%
+%
+%
+\special{pa 4626 -2756}\special{pa 4626 -2559}\special{pa 5906 -2559}\special{pa 5906 -2756}%
+\special{pa 4626 -2756}\special{sh 1}\special{ip}%
+\color[cmyk]{0,1,0,0}%
+\settowidth{\Width}{あいうえお}\setlength{\Width}{-0.5\Width}%
+\settoheight{\Height}{あいうえお}\settodepth{\Depth}{あいうえお}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}%
+\put(10.7500,6.2500){\hspace*{\Width}\raisebox{\Height}{あいうえお}}%
+%
+%
+\special{pa 4626 -2559}\special{pa 4626 -2362}\special{pa 5906 -2362}\special{pa 5906 -2559}%
+\special{pa 4626 -2559}\special{sh 1}\special{ip}%
+\color[cmyk]{0,0.81,0,0}%
+\settowidth{\Width}{あいうえお}\setlength{\Width}{-0.5\Width}%
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+\put(10.7500,5.7500){\hspace*{\Width}\raisebox{\Height}{あいうえお}}%
+%
+%
+\special{pa 4626 -2362}\special{pa 4626 -2165}\special{pa 5906 -2165}\special{pa 5906 -2362}%
+\special{pa 4626 -2362}\special{sh 1}\special{ip}%
+\color[cmyk]{0,0.82,0,0}%
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+\put(10.7500,5.2500){\hspace*{\Width}\raisebox{\Height}{あいうえお}}%
+%
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+\special{pa 4626 -2165}\special{pa 4626 -1969}\special{pa 5906 -1969}\special{pa 5906 -2165}%
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+\color[cmyk]{0.34,0.9,0,0.02}%
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+\put(10.7500,4.7500){\hspace*{\Width}\raisebox{\Height}{あいうえお}}%
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+\color[cmyk]{0.07,0.9,0,0.34}%
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+\put(10.7500,4.2500){\hspace*{\Width}\raisebox{\Height}{あいうえお}}%
+%
+%
+\special{pa 4626 -1772}\special{pa 4626 -1575}\special{pa 5906 -1575}\special{pa 5906 -1772}%
+\special{pa 4626 -1772}\special{sh 1}\special{ip}%
+\color[cmyk]{0.47,0.91,0,0.08}%
+\settowidth{\Width}{あいうえお}\setlength{\Width}{-0.5\Width}%
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+\put(10.7500,3.7500){\hspace*{\Width}\raisebox{\Height}{あいうえお}}%
+%
+%
+\special{pa 4626 -1575}\special{pa 4626 -1378}\special{pa 5906 -1378}\special{pa 5906 -1575}%
+\special{pa 4626 -1575}\special{sh 1}\special{ip}%
+\color[cmyk]{0,0.48,0,0}%
+\settowidth{\Width}{あいうえお}\setlength{\Width}{-0.5\Width}%
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+\put(10.7500,3.2500){\hspace*{\Width}\raisebox{\Height}{あいうえお}}%
+%
+%
+\special{pa 4626 -1378}\special{pa 4626 -1181}\special{pa 5906 -1181}\special{pa 5906 -1378}%
+\special{pa 4626 -1378}\special{sh 1}\special{ip}%
+\color[cmyk]{0.12,0.59,0,0}%
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diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/colortablee35-68.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/colortablee35-68.tex
new file mode 100644
index 00000000000..017807da8fd
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/colortablee35-68.tex
@@ -0,0 +1,1934 @@
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diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/concept.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/concept.tex
new file mode 100644
index 00000000000..c4c7583a7a3
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/concept.tex
@@ -0,0 +1,403 @@
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diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/crosspoint.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/crosspoint.tex
new file mode 100644
index 00000000000..2e720d4869b
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/crosspoint.tex
@@ -0,0 +1,68 @@
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diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/deffun.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/deffun.tex
new file mode 100644
index 00000000000..764d4ec51f5
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/deffun.tex
@@ -0,0 +1,48 @@
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diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/deqplot1.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/deqplot1.tex
new file mode 100644
index 00000000000..6156fda6a61
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/deqplot1.tex
@@ -0,0 +1,56 @@
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new file mode 100644
index 00000000000..953302ea4fd
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/deqplot2.tex
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new file mode 100644
index 00000000000..8b6626e48e6
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/deqplot3.tex
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diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/derivative.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/derivative.tex
new file mode 100644
index 00000000000..61b79121b35
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/derivative.tex
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diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/drawpoint.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/drawpoint.tex
new file mode 100644
index 00000000000..5e36da8d668
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/drawpoint.tex
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diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/drwxy.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/drwxy.tex
new file mode 100644
index 00000000000..b9021de39f5
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diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/ellipseplot1.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/ellipseplot1.tex
new file mode 100644
index 00000000000..ee58c7fbb33
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/ellipseplot1.tex
@@ -0,0 +1,92 @@
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diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/ellipseplot2.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/ellipseplot2.tex
new file mode 100644
index 00000000000..a39aaa945fa
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/ellipseplot2.tex
@@ -0,0 +1,72 @@
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diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/enclosing.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/enclosing.tex
new file mode 100644
index 00000000000..ed69ef479de
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/enclosing.tex
@@ -0,0 +1,302 @@
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diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/expr.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/expr.tex
new file mode 100644
index 00000000000..0d6fdae805b
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/expr.tex
@@ -0,0 +1,70 @@
+%%% test.tex 2014-12-3 7:27
+%%% test.sce 2014-12-3 7:27
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diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/fontsize.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/fontsize.tex
new file mode 100644
index 00000000000..6e7257c821e
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/fontsize.tex
@@ -0,0 +1,70 @@
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index 00000000000..1c430fae6d5
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diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/hatch2.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/hatch2.tex
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index 00000000000..1771dc5b5d7
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diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/hatch3.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/hatch3.tex
new file mode 100644
index 00000000000..5cd8c0f7b47
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/hatch3.tex
@@ -0,0 +1,203 @@
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diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/hatch4.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/hatch4.tex
new file mode 100644
index 00000000000..5fb6d004d79
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/hatch4.tex
@@ -0,0 +1,172 @@
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diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/hatch5.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/hatch5.tex
new file mode 100644
index 00000000000..975d9848e8b
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/hatch5.tex
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diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/histgram.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/histgram.tex
new file mode 100644
index 00000000000..42c8635477c
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/histgram.tex
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diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/htickmark.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/htickmark.tex
new file mode 100644
index 00000000000..372cf63c44d
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/htickmark.tex
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diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/hyper1.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/hyper1.tex
new file mode 100644
index 00000000000..bce4b6c5932
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/hyper1.tex
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diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/intersectcrvs1.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/intersectcrvs1.tex
new file mode 100644
index 00000000000..f876721cb7c
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/intersectcrvs1.tex
@@ -0,0 +1,83 @@
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diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/intersectcrvs2.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/intersectcrvs2.tex
new file mode 100644
index 00000000000..c5c85056935
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/intersectcrvs2.tex
@@ -0,0 +1,83 @@
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diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/intlog.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/intlog.tex
new file mode 100644
index 00000000000..6244c0a517c
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/intlog.tex
@@ -0,0 +1,247 @@
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diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/inversefun.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/inversefun.tex
new file mode 100644
index 00000000000..e2d0e918765
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/inversefun.tex
@@ -0,0 +1,48 @@
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diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/joincrvs.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/joincrvs.tex
new file mode 100644
index 00000000000..bae0d937f5a
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/joincrvs.tex
@@ -0,0 +1,92 @@
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diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/letter.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/letter.tex
new file mode 100644
index 00000000000..00be9d149a1
--- /dev/null
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diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/letter2.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/letter2.tex
new file mode 100644
index 00000000000..06e726a2ba0
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diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/letter3.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/letter3.tex
new file mode 100644
index 00000000000..982e67c0450
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/letter3.tex
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diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/letter4.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/letter4.tex
new file mode 100644
index 00000000000..bf4dec91dbd
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/letter4.tex
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diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/lineplot.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/lineplot.tex
new file mode 100644
index 00000000000..306082bafb4
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/lineplot.tex
@@ -0,0 +1,80 @@
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diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/listplot1.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/listplot1.tex
new file mode 100644
index 00000000000..678392eb233
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/listplot1.tex
@@ -0,0 +1,10 @@
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diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/listplot2.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/listplot2.tex
new file mode 100644
index 00000000000..ecfe664ae41
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/listplot2.tex
@@ -0,0 +1,376 @@
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new file mode 100644
index 00000000000..34b2c24661d
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/listplot3.tex
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diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/maxfun01.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/maxfun01.tex
new file mode 100644
index 00000000000..535573a015b
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/maxfun01.tex
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diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/maxfun02.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/maxfun02.tex
new file mode 100644
index 00000000000..ca3cbcd44ce
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diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/mxtex01.png b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/mxtex01.png
new file mode 100644
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new file mode 100644
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+++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/mxtex02.tex
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diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/mxtex03.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/mxtex03.tex
new file mode 100644
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diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/numptcrv.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/numptcrv.tex
new file mode 100644
index 00000000000..548a6581841
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+++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/numptcrv.tex
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diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/ovaldata.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/ovaldata.tex
new file mode 100644
index 00000000000..6d8beff9e36
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/ovaldata.tex
@@ -0,0 +1,123 @@
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diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/parabolaplot.png b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/parabolaplot.png
new file mode 100644
index 00000000000..71b63f76d60
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/parabolaplot.png
diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/parabolaplot.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/parabolaplot.tex
new file mode 100644
index 00000000000..ac66f843db3
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/parabolaplot.tex
@@ -0,0 +1,141 @@
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diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/paramark.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/paramark.tex
new file mode 100644
index 00000000000..87f7acc8df1
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/paramark.tex
@@ -0,0 +1,43 @@
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diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/paramoncrv.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/paramoncrv.tex
new file mode 100644
index 00000000000..75d6206b1c0
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/paramoncrv.tex
@@ -0,0 +1,118 @@
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diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/paramplot1.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/paramplot1.tex
new file mode 100644
index 00000000000..075d6fd7dce
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/paramplot1.tex
@@ -0,0 +1,40 @@
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diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/paramplot2.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/paramplot2.tex
new file mode 100644
index 00000000000..0769ae89279
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/paramplot2.tex
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diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/partcrv.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/partcrv.tex
new file mode 100644
index 00000000000..bb080fe9f37
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/partcrv.tex
@@ -0,0 +1,111 @@
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diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/partcrv1.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/partcrv1.tex
new file mode 100644
index 00000000000..9467e8d9109
--- /dev/null
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@@ -0,0 +1,63 @@
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diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/partcrv2.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/partcrv2.tex
new file mode 100644
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@@ -0,0 +1,69 @@
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diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/partcrv3.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/partcrv3.tex
new file mode 100644
index 00000000000..b8a51a97c5f
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/partcrv3.tex
@@ -0,0 +1,134 @@
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+\special{pa 782 -130}\special{pa 789 -134}\special{fp}\special{pa 816 -150}\special{pa 822 -155}\special{fp}%

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+%

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+\put(4.0500,0.0000){\hspace*{\Width}\raisebox{\Height}{$x$}}%

+%

+%

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+\put(0.0000,5.0500){\hspace*{\Width}\raisebox{\Height}{$y$}}%

+%

+%

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+\put(-0.0500,-0.0500){\hspace*{\Width}\raisebox{\Height}{O}}%

+%

+%

+\end{picture}}%
\ No newline at end of file
diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/partcrv4.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/partcrv4.tex
new file mode 100644
index 00000000000..cc26e478b6c
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/partcrv4.tex
@@ -0,0 +1,137 @@
+%%% partcrv4.tex 2014-11-9 0:37

+%%% partcrv.sce 2014-11-9 0:30

+{\unitlength=0.7cm%

+\begin{picture}%

+(   7.00000,   5.50000)(  -3.00000,  -0.50000)%

+\special{pn 8}%

+%

+\special{pn 8}%

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+%

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+\end{picture}}%
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diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/plotdata1.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/plotdata1.tex
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diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/plotdata4.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/plotdata4.tex
new file mode 100644
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diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/plotdata5.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/plotdata5.tex
new file mode 100644
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diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/poiintable.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/poiintable.tex
new file mode 100644
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diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/ptcrv.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/ptcrv.tex
new file mode 100644
index 00000000000..efc0680e74d
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/ptcrv.tex
@@ -0,0 +1,106 @@
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diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/ptstart.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/ptstart.tex
new file mode 100644
index 00000000000..bd07b245bae
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/ptstart.tex
@@ -0,0 +1,147 @@
+%%% ptstart.tex 2014-11-13 9:50

+%%% ptcrv.sce 2014-11-12 22:40

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+\special{pa 452 -1240}\special{pa 458 -1245}\special{fp}\special{pa 480 -1268}\special{pa 486 -1273}\special{fp}%

+\special{pa 508 -1296}\special{pa 514 -1301}\special{fp}\special{pa 536 -1324}\special{pa 542 -1329}\special{fp}%

+\special{pa 564 -1352}\special{pa 570 -1357}\special{fp}\special{pa 592 -1380}\special{pa 598 -1385}\special{fp}%

+\special{pa 620 -1408}\special{pa 626 -1413}\special{fp}\special{pa 648 -1436}\special{pa 654 -1441}\special{fp}%

+\special{pa 676 -1464}\special{pa 682 -1469}\special{fp}\special{pa 704 -1492}\special{pa 710 -1497}\special{fp}%

+\special{pa 732 -1520}\special{pa 738 -1525}\special{fp}\special{pa 760 -1548}\special{pa 766 -1553}\special{fp}%

+\special{pa 788 -1576}\special{pa 794 -1581}\special{fp}\special{pa 816 -1604}\special{pa 822 -1609}\special{fp}%

+\special{pa 844 -1632}\special{pa 850 -1637}\special{fp}\special{pa 872 -1660}\special{pa 878 -1665}\special{fp}%

+\special{pa 900 -1688}\special{pa 906 -1693}\special{fp}\special{pa 928 -1716}\special{pa 934 -1721}\special{fp}%

+\special{pa 956 -1744}\special{pa 962 -1749}\special{fp}\special{pa 984 -1771}\special{pa 990 -1777}\special{fp}%

+\special{pa 1012 -1799}\special{pa 1018 -1805}\special{fp}\special{pa 1040 -1827}\special{pa 1046 -1833}\special{fp}%

+\special{pa 1068 -1855}\special{pa 1074 -1861}\special{fp}\special{pn 8}%

+\settowidth{\Width}{A}\setlength{\Width}{-1\Width}%

+\settoheight{\Height}{A}\settodepth{\Depth}{A}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}%

+\put(-1.2000,1.0000){\hspace*{\Width}\raisebox{\Height}{A}}%

+%

+%

+\settowidth{\Width}{B}\setlength{\Width}{0\Width}%

+\settoheight{\Height}{B}\settodepth{\Depth}{B}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}%

+\put(2.1500,4.0000){\hspace*{\Width}\raisebox{\Height}{B}}%

+%

+%

+\special{pa -394 -394}\special{pa 787 -1575}%

+\special{fp}%

+\special{pa -1012 0}\special{pa 1307 0}%

+\special{fp}%

+\special{pa 0 213}\special{pa 0 -1858}%

+\special{fp}%

+\settowidth{\Width}{$x$}\setlength{\Width}{0\Width}%

+\settoheight{\Height}{$x$}\settodepth{\Depth}{$x$}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}%

+\put(3.3700,0.0000){\hspace*{\Width}\raisebox{\Height}{$x$}}%

+%

+%

+\settowidth{\Width}{$y$}\setlength{\Width}{-0.5\Width}%

+\settoheight{\Height}{$y$}\settodepth{\Depth}{$y$}\setlength{\Height}{\Depth}%

+\put(0.0000,4.7700){\hspace*{\Width}\raisebox{\Height}{$y$}}%

+%

+%

+\settowidth{\Width}{O}\setlength{\Width}{-1\Width}%

+\settoheight{\Height}{O}\settodepth{\Depth}{O}\setlength{\Height}{-\Height}%

+\put(-0.0500,-0.0500){\hspace*{\Width}\raisebox{\Height}{O}}%

+%

+%

+\end{picture}}%
\ No newline at end of file
diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/putcell.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/putcell.tex
new file mode 100644
index 00000000000..c7b13ef0573
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/putcell.tex
@@ -0,0 +1,143 @@
+%%% test.tex 2014-11-25 22:19
+%%% test.sce 2014-11-25 22:19
+{\unitlength=6mm%
+\begin{picture}%
+(  10.00000,   4.00000)(   0.00000,   0.00000)%
+\special{pn 8}%
+%
+\settowidth{\Width}{A}\setlength{\Width}{-0.5\Width}%
+\settoheight{\Height}{A}\settodepth{\Depth}{A}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}%
+\put(1.0000,3.0000){\hspace*{\Width}\raisebox{\Height}{A}}%
+%
+%
+\settowidth{\Width}{B}\setlength{\Width}{-1\Width}%
+\settoheight{\Height}{B}\settodepth{\Depth}{B}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}%
+\put(3.9500,3.0000){\hspace*{\Width}\raisebox{\Height}{B}}%
+%
+%
+\settowidth{\Width}{C}\setlength{\Width}{0\Width}%
+\settoheight{\Height}{C}\settodepth{\Depth}{C}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}%
+\put(4.0500,3.0000){\hspace*{\Width}\raisebox{\Height}{C}}%
+%
+%
+\settowidth{\Width}{D}\setlength{\Width}{-0.5\Width}%
+\settoheight{\Height}{D}\settodepth{\Depth}{D}\setlength{\Height}{-\Height}%
+\put(7.0000,3.9500){\hspace*{\Width}\raisebox{\Height}{D}}%
+%
+%
+\settowidth{\Width}{E}\setlength{\Width}{-0.5\Width}%
+\settoheight{\Height}{E}\settodepth{\Depth}{E}\setlength{\Height}{\Depth}%
+\put(9.0000,2.0500){\hspace*{\Width}\raisebox{\Height}{E}}%
+%
+%
+\settowidth{\Width}{F}\setlength{\Width}{-0.5\Width}%
+\settoheight{\Height}{F}\settodepth{\Depth}{F}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}%
+\put(2.0000,1.0000){\hspace*{\Width}\raisebox{\Height}{F}}%
+%
+%
+\settowidth{\Width}{G}\setlength{\Width}{0\Width}%
+\settoheight{\Height}{G}\settodepth{\Depth}{G}\setlength{\Height}{\Depth}%
+\put(4.0500,0.0500){\hspace*{\Width}\raisebox{\Height}{G}}%
+%
+%
+\settowidth{\Width}{H}\setlength{\Width}{-1\Width}%
+\settoheight{\Height}{H}\settodepth{\Depth}{H}\setlength{\Height}{-\Height}%
+\put(9.9500,1.9500){\hspace*{\Width}\raisebox{\Height}{H}}%
+%
+%
+\settowidth{\Width}{R0}\setlength{\Width}{-1\Width}%
+\settoheight{\Height}{R0}\settodepth{\Depth}{R0}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}%
+\put(-0.1500,4.0000){\hspace*{\Width}\raisebox{\Height}{R0}}%
+%
+%
+\settowidth{\Width}{R1}\setlength{\Width}{-1\Width}%
+\settoheight{\Height}{R1}\settodepth{\Depth}{R1}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}%
+\put(-0.1500,2.0000){\hspace*{\Width}\raisebox{\Height}{R1}}%
+%
+%
+\settowidth{\Width}{R2}\setlength{\Width}{-1\Width}%
+\settoheight{\Height}{R2}\settodepth{\Depth}{R2}\setlength{\Height}{\Depth}%
+\put(-0.1500,0.0500){\hspace*{\Width}\raisebox{\Height}{R2}}%
+%
+%
+\settowidth{\Width}{C0}\setlength{\Width}{-0.5\Width}%
+\settoheight{\Height}{C0}\settodepth{\Depth}{C0}\setlength{\Height}{-\Height}%
+\put(0.0000,-0.1500){\hspace*{\Width}\raisebox{\Height}{C0}}%
+%
+%
+\settowidth{\Width}{C1}\setlength{\Width}{-0.5\Width}%
+\settoheight{\Height}{C1}\settodepth{\Depth}{C1}\setlength{\Height}{-\Height}%
+\put(2.0000,-0.1500){\hspace*{\Width}\raisebox{\Height}{C1}}%
+%
+%
+\settowidth{\Width}{C2}\setlength{\Width}{-0.5\Width}%
+\settoheight{\Height}{C2}\settodepth{\Depth}{C2}\setlength{\Height}{-\Height}%
+\put(4.0000,-0.1500){\hspace*{\Width}\raisebox{\Height}{C2}}%
+%
+%
+\settowidth{\Width}{C3}\setlength{\Width}{-0.5\Width}%
+\settoheight{\Height}{C3}\settodepth{\Depth}{C3}\setlength{\Height}{-\Height}%
+\put(6.0000,-0.1500){\hspace*{\Width}\raisebox{\Height}{C3}}%
+%
+%
+\settowidth{\Width}{C4}\setlength{\Width}{-0.5\Width}%
+\settoheight{\Height}{C4}\settodepth{\Depth}{C4}\setlength{\Height}{-\Height}%
+\put(8.0000,-0.1500){\hspace*{\Width}\raisebox{\Height}{C4}}%
+%
+%
+\settowidth{\Width}{C5}\setlength{\Width}{-0.5\Width}%
+\settoheight{\Height}{C5}\settodepth{\Depth}{C5}\setlength{\Height}{-\Height}%
+\put(10.0000,-0.1500){\hspace*{\Width}\raisebox{\Height}{C5}}%
+%
+%
+\special{pa 0 -945}\special{pa 472 -945}%
+\special{fp}%
+\special{pa 472 -945}\special{pa 945 -945}%
+\special{fp}%
+\special{pa 945 -945}\special{pa 1417 -945}%
+\special{fp}%
+\special{pa 1417 -945}\special{pa 1890 -945}%
+\special{fp}%
+\special{pa 1890 -945}\special{pa 2362 -945}%
+\special{fp}%
+\special{pa 0 -472}\special{pa 472 -472}%
+\special{fp}%
+\special{pa 472 -472}\special{pa 945 -472}%
+\special{fp}%
+\special{pa 945 -472}\special{pa 1417 -472}%
+\special{fp}%
+\special{pa 1417 -472}\special{pa 1890 -472}%
+\special{fp}%
+\special{pa 1890 -472}\special{pa 2362 -472}%
+\special{fp}%
+\special{pa 0 0}\special{pa 472 0}%
+\special{fp}%
+\special{pa 472 0}\special{pa 945 0}%
+\special{fp}%
+\special{pa 945 0}\special{pa 1417 0}%
+\special{fp}%
+\special{pa 1417 0}\special{pa 1890 0}%
+\special{fp}%
+\special{pa 1890 0}\special{pa 2362 0}%
+\special{fp}%
+\special{pa 0 -945}\special{pa 0 -472}%
+\special{fp}%
+\special{pa 0 -472}\special{pa 0 0}%
+\special{fp}%
+\special{pa 472 -945}\special{pa 472 -472}%
+\special{fp}%
+\special{pa 945 -945}\special{pa 945 -472}%
+\special{fp}%
+\special{pa 945 -472}\special{pa 945 0}%
+\special{fp}%
+\special{pa 1417 -945}\special{pa 1417 -472}%
+\special{fp}%
+\special{pa 1417 -472}\special{pa 1417 0}%
+\special{fp}%
+\special{pa 1890 -945}\special{pa 1890 -472}%
+\special{fp}%
+\special{pa 2362 -945}\special{pa 2362 -472}%
+\special{fp}%
+\special{pa 2362 -472}\special{pa 2362 0}%
+\special{fp}%
+\end{picture}}%
\ No newline at end of file
diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/putcol.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/putcol.tex
new file mode 100644
index 00000000000..380edea4167
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/putcol.tex
@@ -0,0 +1,188 @@
+%%% test.tex 2014-11-26 11:26
+%%% test.sce 2014-11-26 11:26
+{\unitlength=6mm%
+\begin{picture}%
+(  10.00000,   4.50000)(   0.00000,   0.00000)%
+\special{pn 8}%
+%
+\settowidth{\Width}{A}\setlength{\Width}{-0.5\Width}%
+\settoheight{\Height}{A}\settodepth{\Depth}{A}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}%
+\put(5.0000,3.7500){\hspace*{\Width}\raisebox{\Height}{A}}%
+%
+%
+\settowidth{\Width}{B}\setlength{\Width}{-0.5\Width}%
+\settoheight{\Height}{B}\settodepth{\Depth}{B}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}%
+\put(5.0000,2.2500){\hspace*{\Width}\raisebox{\Height}{B}}%
+%
+%
+\settowidth{\Width}{C}\setlength{\Width}{-0.5\Width}%
+\settoheight{\Height}{C}\settodepth{\Depth}{C}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}%
+\put(5.0000,0.7500){\hspace*{\Width}\raisebox{\Height}{C}}%
+%
+%
+\settowidth{\Width}{$x^2$}\setlength{\Width}{0\Width}%
+\settoheight{\Height}{$x^2$}\settodepth{\Depth}{$x^2$}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}%
+\put(6.0500,3.7500){\hspace*{\Width}\raisebox{\Height}{$x^2$}}%
+%
+%
+\settowidth{\Width}{$y=\sqrt{x^3}$}\setlength{\Width}{0\Width}%
+\settoheight{\Height}{$y=\sqrt{x^3}$}\settodepth{\Depth}{$y=\sqrt{x^3}$}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}%
+\put(6.0500,2.2500){\hspace*{\Width}\raisebox{\Height}{$y=\sqrt{x^3}$}}%
+%
+%
+\settowidth{\Width}{1}\setlength{\Width}{-0.5\Width}%
+\settoheight{\Height}{1}\settodepth{\Depth}{1}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}%
+\put(1.0000,3.7500){\hspace*{\Width}\raisebox{\Height}{1}}%
+%
+%
+\settowidth{\Width}{二}\setlength{\Width}{-0.5\Width}%
+\settoheight{\Height}{二}\settodepth{\Depth}{二}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}%
+\put(3.0000,3.7500){\hspace*{\Width}\raisebox{\Height}{二}}%
+%
+%
+\settowidth{\Width}{$$}\setlength{\Width}{-0.5\Width}%
+\settoheight{\Height}{$$}\settodepth{\Depth}{$$}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}%
+\put(1.0000,0.7500){\hspace*{\Width}\raisebox{\Height}{$$}}%
+%
+%
+\settowidth{\Width}{$\frac{\pi}{2}$}\setlength{\Width}{-0.5\Width}%
+\settoheight{\Height}{$\frac{\pi}{2}$}\settodepth{\Depth}{$\frac{\pi}{2}$}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}%
+\put(3.0000,0.7500){\hspace*{\Width}\raisebox{\Height}{$\frac{\pi}{2}$}}%
+%
+%
+\settowidth{\Width}{$$}\setlength{\Width}{-0.5\Width}%
+\settoheight{\Height}{$$}\settodepth{\Depth}{$$}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}%
+\put(5.0000,0.7500){\hspace*{\Width}\raisebox{\Height}{$$}}%
+%
+%
+\settowidth{\Width}{$$}\setlength{\Width}{-0.5\Width}%
+\settoheight{\Height}{$$}\settodepth{\Depth}{$$}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}%
+\put(7.2000,0.7500){\hspace*{\Width}\raisebox{\Height}{$$}}%
+%
+%
+\settowidth{\Width}{$\sum{x^2}$}\setlength{\Width}{-0.5\Width}%
+\settoheight{\Height}{$\sum{x^2}$}\settodepth{\Depth}{$\sum{x^2}$}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}%
+\put(9.2000,0.7500){\hspace*{\Width}\raisebox{\Height}{$\sum{x^2}$}}%
+%
+%
+\settowidth{\Width}{R0}\setlength{\Width}{-1\Width}%
+\settoheight{\Height}{R0}\settodepth{\Depth}{R0}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}%
+\put(-0.1500,4.5000){\hspace*{\Width}\raisebox{\Height}{R0}}%
+%
+%
+\settowidth{\Width}{R1}\setlength{\Width}{-1\Width}%
+\settoheight{\Height}{R1}\settodepth{\Depth}{R1}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}%
+\put(-0.1500,3.0000){\hspace*{\Width}\raisebox{\Height}{R1}}%
+%
+%
+\settowidth{\Width}{R2}\setlength{\Width}{-1\Width}%
+\settoheight{\Height}{R2}\settodepth{\Depth}{R2}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}%
+\put(-0.1500,1.5000){\hspace*{\Width}\raisebox{\Height}{R2}}%
+%
+%
+\settowidth{\Width}{R3}\setlength{\Width}{-1\Width}%
+\settoheight{\Height}{R3}\settodepth{\Depth}{R3}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}%
+\put(-0.1500,0.0000){\hspace*{\Width}\raisebox{\Height}{R3}}%
+%
+%
+\settowidth{\Width}{C0}\setlength{\Width}{-0.5\Width}%
+\settoheight{\Height}{C0}\settodepth{\Depth}{C0}\setlength{\Height}{-\Height}%
+\put(0.0000,-0.1500){\hspace*{\Width}\raisebox{\Height}{C0}}%
+%
+%
+\settowidth{\Width}{C1}\setlength{\Width}{-0.5\Width}%
+\settoheight{\Height}{C1}\settodepth{\Depth}{C1}\setlength{\Height}{-\Height}%
+\put(2.0000,-0.1500){\hspace*{\Width}\raisebox{\Height}{C1}}%
+%
+%
+\settowidth{\Width}{C2}\setlength{\Width}{-0.5\Width}%
+\settoheight{\Height}{C2}\settodepth{\Depth}{C2}\setlength{\Height}{-\Height}%
+\put(4.0000,-0.1500){\hspace*{\Width}\raisebox{\Height}{C2}}%
+%
+%
+\settowidth{\Width}{C3}\setlength{\Width}{-0.5\Width}%
+\settoheight{\Height}{C3}\settodepth{\Depth}{C3}\setlength{\Height}{-\Height}%
+\put(6.0000,-0.1500){\hspace*{\Width}\raisebox{\Height}{C3}}%
+%
+%
+\settowidth{\Width}{C4}\setlength{\Width}{-0.5\Width}%
+\settoheight{\Height}{C4}\settodepth{\Depth}{C4}\setlength{\Height}{-\Height}%
+\put(8.4000,-0.1500){\hspace*{\Width}\raisebox{\Height}{C4}}%
+%
+%
+\settowidth{\Width}{C5}\setlength{\Width}{-0.5\Width}%
+\settoheight{\Height}{C5}\settodepth{\Depth}{C5}\setlength{\Height}{-\Height}%
+\put(10.0000,-0.1500){\hspace*{\Width}\raisebox{\Height}{C5}}%
+%
+%
+\special{pa 0 -1063}\special{pa 472 -1063}%
+\special{fp}%
+\special{pa 472 -1063}\special{pa 945 -1063}%
+\special{fp}%
+\special{pa 945 -1063}\special{pa 1417 -1063}%
+\special{fp}%
+\special{pa 1417 -1063}\special{pa 1984 -1063}%
+\special{fp}%
+\special{pa 1984 -1063}\special{pa 2362 -1063}%
+\special{fp}%
+\special{pa 0 -709}\special{pa 472 -709}%
+\special{fp}%
+\special{pa 472 -709}\special{pa 945 -709}%
+\special{fp}%
+\special{pa 1417 -709}\special{pa 1984 -709}%
+\special{fp}%
+\special{pa 1984 -709}\special{pa 2362 -709}%
+\special{fp}%
+\special{pa 0 -354}\special{pa 472 -354}%
+\special{fp}%
+\special{pa 472 -354}\special{pa 945 -354}%
+\special{fp}%
+\special{pa 1417 -354}\special{pa 1984 -354}%
+\special{fp}%
+\special{pa 1984 -354}\special{pa 2362 -354}%
+\special{fp}%
+\special{pa 0 0}\special{pa 472 0}%
+\special{fp}%
+\special{pa 472 0}\special{pa 945 0}%
+\special{fp}%
+\special{pa 945 0}\special{pa 1417 0}%
+\special{fp}%
+\special{pa 1417 0}\special{pa 1984 0}%
+\special{fp}%
+\special{pa 1984 0}\special{pa 2362 0}%
+\special{fp}%
+\special{pa 0 -1063}\special{pa 0 -709}%
+\special{fp}%
+\special{pa 0 -709}\special{pa 0 -354}%
+\special{fp}%
+\special{pa 0 -354}\special{pa 0 0}%
+\special{fp}%
+\special{pa 472 -1063}\special{pa 472 -709}%
+\special{fp}%
+\special{pa 472 -354}\special{pa 472 0}%
+\special{fp}%
+\special{pa 945 -1063}\special{pa 945 -709}%
+\special{fp}%
+\special{pa 945 -709}\special{pa 945 -354}%
+\special{fp}%
+\special{pa 945 -354}\special{pa 945 0}%
+\special{fp}%
+\special{pa 1417 -1063}\special{pa 1417 -709}%
+\special{fp}%
+\special{pa 1417 -709}\special{pa 1417 -354}%
+\special{fp}%
+\special{pa 1417 -354}\special{pa 1417 0}%
+\special{fp}%
+\special{pa 1984 -1063}\special{pa 1984 -709}%
+\special{fp}%
+\special{pa 1984 -709}\special{pa 1984 -354}%
+\special{fp}%
+\special{pa 1984 -354}\special{pa 1984 0}%
+\special{fp}%
+\special{pa 2362 -1063}\special{pa 2362 -709}%
+\special{fp}%
+\special{pa 2362 -709}\special{pa 2362 -354}%
+\special{fp}%
+\special{pa 2362 -354}\special{pa 2362 0}%
+\special{fp}%
+\end{picture}}%
\ No newline at end of file
diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/putintersect.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/putintersect.tex
new file mode 100644
index 00000000000..81f6302dce0
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/putintersect.tex
@@ -0,0 +1,99 @@
+%%% fig.tex 2015-8-3 21:32
+%%% fig.sce 2015-8-3 21:32
+{\unitlength=4mm%
+\begin{picture}%
+(   7.06000,   7.34000)(  -3.06000,  -3.34000)%
+\special{pn 8}%
+%
+\special{pa -367 526}\special{pa -365 495}\special{pa -359 429}\special{pa -353 366}%
+\special{pa -348 305}\special{pa -342 247}\special{pa -337 192}\special{pa -331 139}%
+\special{pa -325 88}\special{pa -320 40}\special{pa -314 -5}\special{pa -309 -49}%
+\special{pa -303 -90}\special{pa -298 -128}\special{pa -292 -165}\special{pa -286 -199}%
+\special{pa -281 -231}\special{pa -275 -261}\special{pa -270 -288}\special{pa -264 -314}%
+\special{pa -258 -338}\special{pa -253 -360}\special{pa -247 -380}\special{pa -242 -398}%
+\special{pa -236 -414}\special{pa -230 -428}\special{pa -225 -441}\special{pa -219 -452}%
+\special{pa -214 -461}\special{pa -208 -469}\special{pa -203 -475}\special{pa -197 -480}%
+\special{pa -191 -483}\special{pa -186 -485}\special{pa -180 -485}\special{pa -175 -484}%
+\special{pa -169 -481}\special{pa -163 -478}\special{pa -158 -473}\special{pa -152 -467}%
+\special{pa -147 -459}\special{pa -141 -451}\special{pa -135 -442}\special{pa -130 -431}%
+\special{pa -124 -420}\special{pa -119 -407}\special{pa -113 -394}\special{pa -108 -380}%
+\special{pa -102 -365}\special{pa -96 -349}\special{pa -91 -333}\special{pa -85 -316}%
+\special{pa -80 -298}\special{pa -74 -280}\special{pa -68 -261}\special{pa -63 -241}%
+\special{pa -57 -222}\special{pa -52 -201}\special{pa -46 -180}\special{pa -41 -159}%
+\special{pa -35 -138}\special{pa -29 -116}\special{pa -24 -94}\special{pa -18 -72}%
+\special{pa -13 -50}\special{pa -7 -28}\special{pa -1 -6}\special{pa 4 17}\special{pa 10 39}%
+\special{pa 15 61}\special{pa 21 83}\special{pa 27 105}\special{pa 32 127}\special{pa 38 149}%
+\special{pa 43 170}\special{pa 49 191}\special{pa 54 211}\special{pa 60 231}\special{pa 66 251}%
+\special{pa 71 270}\special{pa 77 289}\special{pa 82 307}\special{pa 88 324}\special{pa 94 341}%
+\special{pa 99 357}\special{pa 105 373}\special{pa 110 387}\special{pa 116 401}\special{pa 122 414}%
+\special{pa 127 426}\special{pa 133 437}\special{pa 138 446}\special{pa 144 455}\special{pa 149 463}%
+\special{pa 155 470}\special{pa 161 475}\special{pa 166 480}\special{pa 172 483}\special{pa 177 484}%
+\special{pa 183 485}\special{pa 189 484}\special{pa 194 482}\special{pa 200 478}\special{pa 205 472}%
+\special{pa 211 465}\special{pa 216 457}\special{pa 222 447}\special{pa 228 435}\special{pa 233 421}%
+\special{pa 239 406}\special{pa 244 389}\special{pa 250 370}\special{pa 256 349}\special{pa 261 326}%
+\special{pa 267 302}\special{pa 272 275}\special{pa 278 246}\special{pa 284 215}\special{pa 289 182}%
+\special{pa 295 147}\special{pa 300 109}\special{pa 306 70}\special{pa 311 28}\special{pa 317 -17}%
+\special{pa 323 -64}\special{pa 328 -113}\special{pa 334 -165}\special{pa 339 -219}%
+\special{pa 345 -276}\special{pa 351 -335}\special{pa 356 -397}\special{pa 362 -462}%
+\special{pa 367 -529}\special{pa 373 -600}\special{pa 375 -630}%
+\special{fp}%
+\special{pa -482 83}\special{pa -459 72}\special{pa -437 61}\special{pa -414 49}\special{pa -391 38}%
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diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/putoncurve.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/putoncurve.tex
new file mode 100644
index 00000000000..0cfce6b3d4b
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/putoncurve.tex
@@ -0,0 +1,48 @@
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diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/reflectdata.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/reflectdata.tex
new file mode 100644
index 00000000000..d673989834c
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/reflectdata.tex
@@ -0,0 +1,161 @@
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diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/reflectpoint.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/reflectpoint.tex
new file mode 100644
index 00000000000..baaa1db91b3
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/reflectpoint.tex
@@ -0,0 +1,128 @@
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diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/rotatedata.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/rotatedata.tex
new file mode 100644
index 00000000000..68bf0eb0856
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/rotatedata.tex
@@ -0,0 +1,126 @@
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diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/rotatepoint.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/rotatepoint.tex
new file mode 100644
index 00000000000..882a741c164
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/rotatepoint.tex
@@ -0,0 +1,140 @@
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diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/rshade.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/rshade.tex
new file mode 100644
index 00000000000..92d0d90607d
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/rshade.tex
@@ -0,0 +1,72 @@
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diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/ruler.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/ruler.tex
new file mode 100644
index 00000000000..a976f1b795e
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/ruler.tex
@@ -0,0 +1,66 @@
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diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/scaledata.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/scaledata.tex
new file mode 100644
index 00000000000..d86235969d8
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/scaledata.tex
@@ -0,0 +1,126 @@
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diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/scalepoint.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/scalepoint.tex
new file mode 100644
index 00000000000..d70ef497889
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/scalepoint.tex
@@ -0,0 +1,71 @@
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diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/scatter.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/scatter.tex
new file mode 100644
index 00000000000..aff4067e1b5
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/scatter.tex
@@ -0,0 +1,204 @@
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diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/segmark.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/segmark.tex
new file mode 100644
index 00000000000..0ca81c693a1
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/segmark.tex
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diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/setax(theta).tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/setax(theta).tex
new file mode 100644
index 00000000000..299d79ba065
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/setax(theta).tex
@@ -0,0 +1,43 @@
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diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/setax.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/setax.tex
new file mode 100644
index 00000000000..11e886fe38d
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/setax.tex
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new file mode 100644
index 00000000000..7e112dd6ad7
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diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/setorigin.png b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/setorigin.png
new file mode 100644
index 00000000000..003dd1666b0
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diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/setorigin.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/setorigin.tex
new file mode 100644
index 00000000000..b71a9ff29cf
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/setorigin.tex
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diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/setscaling.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/setscaling.tex
new file mode 100644
index 00000000000..a0bcba93dbc
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/setscaling.tex
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diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/settable1.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/settable1.tex
new file mode 100644
index 00000000000..17b756f292d
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/settable1.tex
@@ -0,0 +1,170 @@
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diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/settable2.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/settable2.tex
new file mode 100644
index 00000000000..f97b08e76ac
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/settable2.tex
@@ -0,0 +1,142 @@
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diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/shade.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/shade.tex
new file mode 100644
index 00000000000..3a7aa867f0b
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/shade.tex
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diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/shade01.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/shade01.tex
new file mode 100644
index 00000000000..079d9c663aa
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/shade01.tex
@@ -0,0 +1,122 @@
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new file mode 100644
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diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/table03.png b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/table03.png
new file mode 100644
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diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/tablesample1.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/tablesample1.tex
new file mode 100644
index 00000000000..3cc533bc714
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diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/tablesample2.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/tablesample2.tex
new file mode 100644
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+\special{fp}%
+\special{pa 866 -709}\special{pa 1102 -709}%
+\special{fp}%
+\special{pa 1102 -709}\special{pa 1496 -709}%
+\special{fp}%
+\special{pa 1496 -709}\special{pa 1732 -709}%
+\special{fp}%
+\special{pa 0 -472}\special{pa 236 -472}%
+\special{fp}%
+\special{pa 236 -472}\special{pa 472 -472}%
+\special{fp}%
+\special{pa 472 -472}\special{pa 866 -472}%
+\special{fp}%
+\special{pa 866 -472}\special{pa 1102 -472}%
+\special{fp}%
+\special{pa 1102 -472}\special{pa 1496 -472}%
+\special{fp}%
+\special{pa 1496 -472}\special{pa 1732 -472}%
+\special{fp}%
+\special{pa 0 -236}\special{pa 236 -236}%
+\special{fp}%
+\special{pa 236 -236}\special{pa 472 -236}%
+\special{fp}%
+\special{pa 472 -236}\special{pa 866 -236}%
+\special{fp}%
+\special{pa 866 -236}\special{pa 1102 -236}%
+\special{fp}%
+\special{pa 1102 -236}\special{pa 1496 -236}%
+\special{fp}%
+\special{pa 1496 -236}\special{pa 1732 -236}%
+\special{fp}%
+\special{pa 0 0}\special{pa 236 0}%
+\special{fp}%
+\special{pa 236 0}\special{pa 472 0}%
+\special{fp}%
+\special{pa 472 0}\special{pa 866 0}%
+\special{fp}%
+\special{pa 866 0}\special{pa 1102 0}%
+\special{fp}%
+\special{pa 1102 0}\special{pa 1496 0}%
+\special{fp}%
+\special{pa 1496 0}\special{pa 1732 0}%
+\special{fp}%
+\special{pa 1732 0}\special{pa 3346 0}%
+\special{fp}%
+\special{pa 0 -1969}\special{pa 0 -709}%
+\special{fp}%
+\special{pa 0 -709}\special{pa 0 -472}%
+\special{fp}%
+\special{pa 0 -472}\special{pa 0 -236}%
+\special{fp}%
+\special{pa 0 -236}\special{pa 0 0}%
+\special{fp}%
+\special{pa 236 -709}\special{pa 236 -472}%
+\special{fp}%
+\special{pa 236 -472}\special{pa 236 -236}%
+\special{fp}%
+\special{pa 236 -236}\special{pa 236 0}%
+\special{fp}%
+\special{pa 472 -709}\special{pa 472 -472}%
+\special{fp}%
+\special{pa 472 -472}\special{pa 472 -236}%
+\special{fp}%
+\special{pa 472 -236}\special{pa 472 0}%
+\special{fp}%
+\special{pa 866 -709}\special{pa 866 -472}%
+\special{fp}%
+\special{pa 866 -472}\special{pa 866 -236}%
+\special{fp}%
+\special{pa 866 -236}\special{pa 866 0}%
+\special{fp}%
+\special{pa 1102 -709}\special{pa 1102 -472}%
+\special{fp}%
+\special{pa 1102 -472}\special{pa 1102 -236}%
+\special{fp}%
+\special{pa 1102 -236}\special{pa 1102 0}%
+\special{fp}%
+\special{pa 1496 -709}\special{pa 1496 -472}%
+\special{fp}%
+\special{pa 1496 -472}\special{pa 1496 -236}%
+\special{fp}%
+\special{pa 1496 -236}\special{pa 1496 0}%
+\special{fp}%
+\special{pa 1732 -1969}\special{pa 1732 -709}%
+\special{fp}%
+\special{pa 1732 -709}\special{pa 1732 -472}%
+\special{fp}%
+\special{pa 1732 -472}\special{pa 1732 -236}%
+\special{fp}%
+\special{pa 1732 -236}\special{pa 1732 0}%
+\special{fp}%
+\special{pa 3346 -1969}\special{pa 3346 -709}%
+\special{fp}%
+\special{pa 3346 -709}\special{pa 3346 -472}%
+\special{fp}%
+\special{pa 3346 -472}\special{pa 3346 -236}%
+\special{fp}%
+\special{pa 3346 -236}\special{pa 3346 0}%
+\special{fp}%
+\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(0.3000,1.5000){\hspace*{\Width}\raisebox{\Height}{$x$}}%
+%
+%
+\settowidth{\Width}{$0$}\setlength{\Width}{-0.5\Width}%
+\settoheight{\Height}{$0$}\settodepth{\Depth}{$0$}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}%
+\put(0.9000,1.5000){\hspace*{\Width}\raisebox{\Height}{$0$}}%
+%
+%
+\settowidth{\Width}{$\cdots$}\setlength{\Width}{-0.5\Width}%
+\settoheight{\Height}{$\cdots$}\settodepth{\Depth}{$\cdots$}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}%
+\put(1.7000,1.5000){\hspace*{\Width}\raisebox{\Height}{$\cdots$}}%
+%
+%
+\settowidth{\Width}{$\tfrac{1}{4}$}\setlength{\Width}{-0.5\Width}%
+\settoheight{\Height}{$\tfrac{1}{4}$}\settodepth{\Depth}{$\tfrac{1}{4}$}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}%
+\put(2.5000,1.5000){\hspace*{\Width}\raisebox{\Height}{$\tfrac{1}{4}$}}%
+%
+%
+\settowidth{\Width}{$\cdots$}\setlength{\Width}{-0.5\Width}%
+\settoheight{\Height}{$\cdots$}\settodepth{\Depth}{$\cdots$}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}%
+\put(3.3000,1.5000){\hspace*{\Width}\raisebox{\Height}{$\cdots$}}%
+%
+%
+\settowidth{\Width}{$4$}\setlength{\Width}{-0.5\Width}%
+\settoheight{\Height}{$4$}\settodepth{\Depth}{$4$}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}%
+\put(4.1000,1.5000){\hspace*{\Width}\raisebox{\Height}{$4$}}%
+%
+%
+\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(0.3000,0.9000){\hspace*{\Width}\raisebox{\Height}{$y'$}}%
+%
+%
+\settowidth{\Width}{$$}\setlength{\Width}{-0.5\Width}%
+\settoheight{\Height}{$$}\settodepth{\Depth}{$$}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}%
+\put(0.9000,0.9000){\hspace*{\Width}\raisebox{\Height}{$$}}%
+%
+%
+\settowidth{\Width}{$-$}\setlength{\Width}{-0.5\Width}%
+\settoheight{\Height}{$-$}\settodepth{\Depth}{$-$}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}%
+\put(1.7000,0.9000){\hspace*{\Width}\raisebox{\Height}{$-$}}%
+%
+%
+\settowidth{\Width}{$0$}\setlength{\Width}{-0.5\Width}%
+\settoheight{\Height}{$0$}\settodepth{\Depth}{$0$}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}%
+\put(2.5000,0.9000){\hspace*{\Width}\raisebox{\Height}{$0$}}%
+%
+%
+\settowidth{\Width}{$+$}\setlength{\Width}{-0.5\Width}%
+\settoheight{\Height}{$+$}\settodepth{\Depth}{$+$}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}%
+\put(3.3000,0.9000){\hspace*{\Width}\raisebox{\Height}{$+$}}%
+%
+%
+\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(0.3000,0.3000){\hspace*{\Width}\raisebox{\Height}{$y$}}%
+%
+%
+\settowidth{\Width}{$0$}\setlength{\Width}{-0.5\Width}%
+\settoheight{\Height}{$0$}\settodepth{\Depth}{$0$}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}%
+\put(0.9000,0.3000){\hspace*{\Width}\raisebox{\Height}{$0$}}%
+%
+%
+\settowidth{\Width}{$\searrow$}\setlength{\Width}{-0.5\Width}%
+\settoheight{\Height}{$\searrow$}\settodepth{\Depth}{$\searrow$}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}%
+\put(1.7000,0.3000){\hspace*{\Width}\raisebox{\Height}{$\searrow$}}%
+%
+%
+\settowidth{\Width}{$-\tfrac{1}{4}$}\setlength{\Width}{-0.5\Width}%
+\settoheight{\Height}{$-\tfrac{1}{4}$}\settodepth{\Depth}{$-\tfrac{1}{4}$}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}%
+\put(2.5000,0.3000){\hspace*{\Width}\raisebox{\Height}{$-\tfrac{1}{4}$}}%
+%
+%
+\settowidth{\Width}{$\nearrow$}\setlength{\Width}{-0.5\Width}%
+\settoheight{\Height}{$\nearrow$}\settodepth{\Depth}{$\nearrow$}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}%
+\put(3.3000,0.3000){\hspace*{\Width}\raisebox{\Height}{$\nearrow$}}%
+%
+%
+\settowidth{\Width}{$2$}\setlength{\Width}{-0.5\Width}%
+\settoheight{\Height}{$2$}\settodepth{\Depth}{$2$}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}%
+\put(4.1000,0.3000){\hspace*{\Width}\raisebox{\Height}{$2$}}%
+%
+%
+\settowidth{\Width}{{\small\begin{minipage}{44mm}$y=x-\sqrt{x}$\\$y'=\dfrac{2\sqrt{x}-1}{2\sqrt{x}}=0$より\vspace{1mm}\\\hspace*{2zw}$x=\dfrac{1}{4}$\vspace{1mm}\\増減表は次のようになる．\end{minipage}} }\setlength{\Width}{0\Width}%
+\settoheight{\Height}{{\small\begin{minipage}{44mm}$y=x-\sqrt{x}$\\$y'=\dfrac{2\sqrt{x}-1}{2\sqrt{x}}=0$より\vspace{1mm}\\\hspace*{2zw}$x=\dfrac{1}{4}$\vspace{1mm}\\増減表は次のようになる．\end{minipage}} }\settodepth{\Depth}{{\small\begin{minipage}{44mm}$y=x-\sqrt{x}$\\$y'=\dfrac{2\sqrt{x}-1}{2\sqrt{x}}=0$より\vspace{1mm}\\\hspace*{2zw}$x=\dfrac{1}{4}$\vspace{1mm}\\増減表は次のようになる．\end{minipage}} }\setlength{\Height}{-\Height}%
+\put(0.1500,4.8500){\hspace*{\Width}\raisebox{\Height}{{\small\begin{minipage}{44mm}$y=x-\sqrt{x}$\\$y'=\dfrac{2\sqrt{x}-1}{2\sqrt{x}}=0$より\vspace{1mm}\\\hspace*{2zw}$x=\dfrac{1}{4}$\vspace{1mm}\\増減表は次のようになる．\end{minipage}} }}%
+%
+%
+\special{pa 1929 -394}\special{pa 1953 -320}\special{pa 1977 -304}\special{pa 2001 -297}%
+\special{pa 2026 -295}\special{pa 2050 -296}\special{pa 2074 -300}\special{pa 2098 -305}%
+\special{pa 2122 -311}\special{pa 2146 -318}\special{pa 2170 -327}\special{pa 2194 -336}%
+\special{pa 2218 -345}\special{pa 2242 -356}\special{pa 2267 -367}\special{pa 2291 -378}%
+\special{pa 2315 -390}\special{pa 2339 -402}\special{pa 2363 -414}\special{pa 2387 -427}%
+\special{pa 2411 -440}\special{pa 2435 -453}\special{pa 2459 -467}\special{pa 2484 -481}%
+\special{pa 2508 -495}\special{pa 2532 -509}\special{pa 2556 -524}\special{pa 2580 -538}%
+\special{pa 2604 -553}\special{pa 2628 -568}\special{pa 2652 -583}\special{pa 2676 -599}%
+\special{pa 2700 -614}\special{pa 2725 -630}\special{pa 2749 -645}\special{pa 2773 -661}%
+\special{pa 2797 -677}\special{pa 2821 -693}\special{pa 2845 -709}\special{pa 2869 -725}%
+\special{pa 2893 -742}\special{pa 2917 -758}\special{pa 2942 -775}\special{pa 2966 -791}%
+\special{pa 2990 -808}\special{pa 3014 -825}\special{pa 3038 -842}\special{pa 3062 -859}%
+\special{pa 3086 -876}\special{pa 3110 -893}%
+\special{fp}%
+\special{pa 1929 -394}\special{pa 3110 -394}%
+\special{fp}%
+\special{pa 1929 -197}\special{pa 1929 -1575}%
+\special{fp}%
+\settowidth{\Width}{\small{$x$}}\setlength{\Width}{0\Width}%
+\settoheight{\Height}{\small{$x$}}\settodepth{\Depth}{\small{$x$}}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}%
+\put(8.0000,1.0000){\hspace*{\Width}\raisebox{\Height}{\small{$x$}}}%
+%
+%
+\settowidth{\Width}{\small{$y$}}\setlength{\Width}{-0.5\Width}%
+\settoheight{\Height}{\small{$y$}}\settodepth{\Depth}{\small{$y$}}\setlength{\Height}{\Depth}%
+\put(4.9000,4.1000){\hspace*{\Width}\raisebox{\Height}{\small{$y$}}}%
+%
+%
+\settowidth{\Width}{\small O}\setlength{\Width}{-1\Width}%
+\settoheight{\Height}{\small O}\settodepth{\Depth}{\small O}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}%
+\put(4.8000,1.0000){\hspace*{\Width}\raisebox{\Height}{\small O}}%
+%
+%
+\settowidth{\Width}{$y=x-\sqrt{x}$}\setlength{\Width}{-1\Width}%
+\settoheight{\Height}{$y=x-\sqrt{x}$}\settodepth{\Depth}{$y=x-\sqrt{x}$}\setlength{\Height}{\Depth}%
+\put(7.9500,2.3200){\hspace*{\Width}\raisebox{\Height}{$y=x-\sqrt{x}$}}%
+%
+%
+\special{pa 236 -472}\special{pa 472 -236}%
+\special{fp}%
+\special{pa 236 -236}\special{pa 472 -472}%
+\special{fp}%
+\end{picture}}%
\ No newline at end of file
diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/tableseg.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/tableseg.tex
new file mode 100644
index 00000000000..821763a6ddb
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/tableseg.tex
@@ -0,0 +1,162 @@
+%%% test.tex 2014-11-26 11:41
+%%% test.sce 2014-11-26 11:41
+{\unitlength=6mm%
+\begin{picture}%
+(   8.00000,   5.00000)(   0.00000,   0.00000)%
+\special{pn 8}%
+%
+\special{pa 0 -945}\special{pa 36 -945}\special{fp}\special{pa 73 -945}\special{pa 109 -945}\special{fp}%
+\special{pa 145 -945}\special{pa 182 -945}\special{fp}\special{pa 218 -945}\special{pa 254 -945}\special{fp}%
+\special{pa 291 -945}\special{pa 327 -945}\special{fp}\special{pa 363 -945}\special{pa 400 -945}\special{fp}%
+\special{pa 436 -945}\special{pa 472 -945}\special{fp}%
+%
+\special{pa 945 -236}\special{pa 983 -236}\special{fp}\special{pa 1020 -236}\special{pa 1058 -236}\special{fp}%
+\special{pa 1096 -236}\special{pa 1134 -236}\special{fp}\special{pa 1172 -236}\special{pa 1209 -236}\special{fp}%
+\special{pa 1247 -236}\special{pa 1285 -236}\special{fp}\special{pa 1323 -236}\special{pa 1361 -236}\special{fp}%
+\special{pa 1398 -236}\special{pa 1436 -236}\special{fp}\special{pa 1474 -236}\special{pa 1512 -236}\special{fp}%
+\special{pa 1550 -236}\special{pa 1587 -236}\special{fp}\special{pa 1625 -236}\special{pa 1663 -236}\special{fp}%
+\special{pa 1701 -236}\special{pa 1739 -236}\special{fp}\special{pa 1776 -236}\special{pa 1814 -236}\special{fp}%
+\special{pa 1852 -236}\special{pa 1890 -236}\special{fp}%
+%
+\settowidth{\Width}{R0}\setlength{\Width}{-1\Width}%
+\settoheight{\Height}{R0}\settodepth{\Depth}{R0}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}%
+\put(-0.1500,5.0000){\hspace*{\Width}\raisebox{\Height}{R0}}%
+%
+%
+\settowidth{\Width}{R1}\setlength{\Width}{-1\Width}%
+\settoheight{\Height}{R1}\settodepth{\Depth}{R1}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}%
+\put(-0.1500,4.0000){\hspace*{\Width}\raisebox{\Height}{R1}}%
+%
+%
+\settowidth{\Width}{R2}\setlength{\Width}{-1\Width}%
+\settoheight{\Height}{R2}\settodepth{\Depth}{R2}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}%
+\put(-0.1500,3.0000){\hspace*{\Width}\raisebox{\Height}{R2}}%
+%
+%
+\settowidth{\Width}{R3}\setlength{\Width}{-1\Width}%
+\settoheight{\Height}{R3}\settodepth{\Depth}{R3}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}%
+\put(-0.1500,2.0000){\hspace*{\Width}\raisebox{\Height}{R3}}%
+%
+%
+\settowidth{\Width}{R4}\setlength{\Width}{-1\Width}%
+\settoheight{\Height}{R4}\settodepth{\Depth}{R4}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}%
+\put(-0.1500,1.0000){\hspace*{\Width}\raisebox{\Height}{R4}}%
+%
+%
+\settowidth{\Width}{R5}\setlength{\Width}{-1\Width}%
+\settoheight{\Height}{R5}\settodepth{\Depth}{R5}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}%
+\put(-0.1500,0.0000){\hspace*{\Width}\raisebox{\Height}{R5}}%
+%
+%
+\settowidth{\Width}{C0}\setlength{\Width}{-0.5\Width}%
+\settoheight{\Height}{C0}\settodepth{\Depth}{C0}\setlength{\Height}{-\Height}%
+\put(0.0000,-0.1500){\hspace*{\Width}\raisebox{\Height}{C0}}%
+%
+%
+\settowidth{\Width}{C1}\setlength{\Width}{-0.5\Width}%
+\settoheight{\Height}{C1}\settodepth{\Depth}{C1}\setlength{\Height}{-\Height}%
+\put(2.0000,-0.1500){\hspace*{\Width}\raisebox{\Height}{C1}}%
+%
+%
+\settowidth{\Width}{C2}\setlength{\Width}{-0.5\Width}%
+\settoheight{\Height}{C2}\settodepth{\Depth}{C2}\setlength{\Height}{-\Height}%
+\put(4.0000,-0.1500){\hspace*{\Width}\raisebox{\Height}{C2}}%
+%
+%
+\settowidth{\Width}{C3}\setlength{\Width}{-0.5\Width}%
+\settoheight{\Height}{C3}\settodepth{\Depth}{C3}\setlength{\Height}{-\Height}%
+\put(6.0000,-0.1500){\hspace*{\Width}\raisebox{\Height}{C3}}%
+%
+%
+\settowidth{\Width}{C4}\setlength{\Width}{-0.5\Width}%
+\settoheight{\Height}{C4}\settodepth{\Depth}{C4}\setlength{\Height}{-\Height}%
+\put(8.0000,-0.1500){\hspace*{\Width}\raisebox{\Height}{C4}}%
+%
+%
+\special{pa 0 -1181}\special{pa 472 -1181}%
+\special{fp}%
+\special{pa 472 -1181}\special{pa 945 -1181}%
+\special{fp}%
+\special{pa 945 -1181}\special{pa 1417 -1181}%
+\special{fp}%
+\special{pa 1417 -1181}\special{pa 1890 -1181}%
+\special{fp}%
+\special{pa 472 -945}\special{pa 945 -945}%
+\special{fp}%
+\special{pa 945 -945}\special{pa 1417 -945}%
+\special{fp}%
+\special{pa 1417 -945}\special{pa 1890 -945}%
+\special{fp}%
+\special{pa 0 -709}\special{pa 472 -709}%
+\special{fp}%
+\special{pa 472 -709}\special{pa 945 -709}%
+\special{fp}%
+\special{pa 945 -709}\special{pa 1417 -709}%
+\special{fp}%
+\special{pa 1417 -709}\special{pa 1890 -709}%
+\special{fp}%
+\special{pa 0 -472}\special{pa 472 -472}%
+\special{fp}%
+\special{pa 472 -472}\special{pa 945 -472}%
+\special{fp}%
+\special{pa 945 -472}\special{pa 1417 -472}%
+\special{fp}%
+\special{pa 1417 -472}\special{pa 1890 -472}%
+\special{fp}%
+\special{pa 0 -236}\special{pa 472 -236}%
+\special{fp}%
+\special{pa 472 -236}\special{pa 945 -236}%
+\special{fp}%
+\special{pa 0 0}\special{pa 472 0}%
+\special{fp}%
+\special{pa 472 0}\special{pa 945 0}%
+\special{fp}%
+\special{pa 945 0}\special{pa 1417 0}%
+\special{fp}%
+\special{pa 1417 0}\special{pa 1890 0}%
+\special{fp}%
+\special{pa 0 -1181}\special{pa 0 -945}%
+\special{fp}%
+\special{pa 0 -945}\special{pa 0 -709}%
+\special{fp}%
+\special{pa 0 -709}\special{pa 0 -472}%
+\special{fp}%
+\special{pa 0 -472}\special{pa 0 -236}%
+\special{fp}%
+\special{pa 0 -236}\special{pa 0 0}%
+\special{fp}%
+\special{pa 472 -1181}\special{pa 472 -945}%
+\special{fp}%
+\special{pa 472 -945}\special{pa 472 -709}%
+\special{fp}%
+\special{pa 472 -709}\special{pa 472 -472}%
+\special{fp}%
+\special{pa 472 -472}\special{pa 472 -236}%
+\special{fp}%
+\special{pa 472 -236}\special{pa 472 0}%
+\special{fp}%
+\special{pa 945 -1181}\special{pa 945 -945}%
+\special{fp}%
+\special{pa 945 -945}\special{pa 945 -709}%
+\special{fp}%
+\special{pa 945 -709}\special{pa 945 -472}%
+\special{fp}%
+\special{pa 945 -472}\special{pa 945 -236}%
+\special{fp}%
+\special{pa 945 -236}\special{pa 945 0}%
+\special{fp}%
+\special{pa 1417 -945}\special{pa 1417 -709}%
+\special{fp}%
+\special{pa 1417 -709}\special{pa 1417 -472}%
+\special{fp}%
+\special{pa 1890 -1181}\special{pa 1890 -945}%
+\special{fp}%
+\special{pa 1890 -945}\special{pa 1890 -709}%
+\special{fp}%
+\special{pa 1890 -709}\special{pa 1890 -472}%
+\special{fp}%
+\special{pa 1890 -472}\special{pa 1890 -236}%
+\special{fp}%
+\special{pa 1890 -236}\special{pa 1890 0}%
+\special{fp}%
+\end{picture}}%
\ No newline at end of file
diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/taylor.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/taylor.tex
new file mode 100644
index 00000000000..64e07477cfc
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/taylor.tex
@@ -0,0 +1,60 @@
+%%% taylor.tex 2016-4-29 16:11

+%%% taylor.sce 2016-4-29 16:5

+{\unitlength=6mm%

+\begin{picture}%

+(  10.00000,   6.00000)(  -5.00000,  -3.00000)%

+\special{pn 8}%

+%

+\special{pa -1181 -227}\special{pa -1143 -234}\special{fp}\special{pa -1104 -235}\special{pa -1087 -235}\special{pa -1066 -230}\special{fp}%

+\special{pa -1028 -220}\special{pa -992 -206}\special{pa -992 -206}\special{fp}\special{pa -958 -186}\special{pa -945 -179}\special{pa -926 -165}\special{fp}%

+\special{pa -894 -142}\special{pa -865 -117}\special{fp}\special{pa -836 -91}\special{pa -807 -64}\special{fp}%

+\special{pa -779 -37}\special{pa -756 -14}\special{pa -752 -9}\special{fp}\special{pa -724 18}\special{pa -709 33}\special{pa -696 45}\special{fp}%

+\special{pa -668 72}\special{pa -661 79}\special{pa -640 99}\special{fp}\special{pa -610 125}\special{pa -580 149}\special{fp}%

+\special{pa -549 172}\special{pa -520 191}\special{pa -516 193}\special{fp}\special{pa -481 210}\special{pa -472 215}\special{pa -445 224}\special{fp}%

+\special{pa -407 232}\special{pa -378 236}\special{pa -368 235}\special{fp}\special{pa -329 232}\special{pa -292 222}\special{fp}%

+\special{pa -256 208}\special{pa -236 199}\special{pa -221 189}\special{fp}\special{pa -188 169}\special{pa -157 145}\special{fp}%

+\special{pa -127 121}\special{pa -98 95}\special{fp}\special{pa -70 68}\special{pa -47 47}\special{pa -41 41}\special{fp}%

+\special{pa -14 14}\special{pa 0 0}\special{pa 14 -14}\special{fp}\special{pa 41 -41}\special{pa 47 -47}\special{pa 70 -68}\special{fp}%

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diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/translatedata.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig/translatedata.tex
new file mode 100644
index 00000000000..d5023587ca9
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diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig3d/IntersectsgpL2.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig3d/IntersectsgpL2.tex
new file mode 100644
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diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig3d/bezier3d1.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig3d/bezier3d1.tex
new file mode 100644
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diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig3d/concatobj.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig3d/concatobj.tex
new file mode 100644
index 00000000000..ce7154114b0
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diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig3d/crvsfparadata1.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig3d/crvsfparadata1.tex
new file mode 100644
index 00000000000..26edbc695ad
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diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig3d/crvsfparadata2.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig3d/crvsfparadata2.tex
new file mode 100644
index 00000000000..130e59cbd7b
--- /dev/null
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diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig3d/embed01.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig3d/embed01.tex
new file mode 100644
index 00000000000..78f074ba3b8
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig3d/embed01.tex
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diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig3d/embed02.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig3d/embed02.tex
new file mode 100644
index 00000000000..115ca20d09e
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig3d/embed02.tex
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new file mode 100644
index 00000000000..35d19ef1196
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new file mode 100644
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diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig3d/nohiddenbyfaces1.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig3d/nohiddenbyfaces1.tex
new file mode 100644
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diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig3d/nohiddenbyfaces2.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig3d/nohiddenbyfaces2.tex
new file mode 100644
index 00000000000..d5477be0eae
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+++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig3d/nohiddenbyfaces2.tex
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diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig3d/parabola.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig3d/parabola.tex
new file mode 100644
index 00000000000..437d8d61215
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diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig3d/partcrv3d1.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig3d/partcrv3d1.tex
new file mode 100644
index 00000000000..fcff4da54fc
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+++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig3d/partcrv3d1.tex
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diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig3d/partcrv3d2.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig3d/partcrv3d2.tex
new file mode 100644
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new file mode 100644
index 00000000000..479ba81a396
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diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig3d/readobj.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig3d/readobj.tex
new file mode 100644
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diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig3d/rotatedata3d01.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig3d/rotatedata3d01.tex
new file mode 100644
index 00000000000..1ab86842f4f
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diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig3d/rotatedata3d02.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig3d/rotatedata3d02.tex
new file mode 100644
index 00000000000..35cbc5258e4
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig3d/rotatedata3d02.tex
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diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig3d/saddle1.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig3d/saddle1.tex
new file mode 100644
index 00000000000..3ff0ce04360
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diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig3d/sf3ddata3.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig3d/sf3ddata3.tex
new file mode 100644
index 00000000000..a2585b3117b
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig3d/sf3ddata3.tex
@@ -0,0 +1,312 @@
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\ No newline at end of file
diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig3d/sf3ddata4.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig3d/sf3ddata4.tex
new file mode 100644
index 00000000000..7c4fa9d6f42
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig3d/sf3ddata4.tex
@@ -0,0 +1,326 @@
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\ No newline at end of file
diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig3d/sfbdpara01.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig3d/sfbdpara01.tex
new file mode 100644
index 00000000000..d96415aa03d
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig3d/sfbdpara01.tex
@@ -0,0 +1,72 @@
+%%% /Users/Hannya/ketcindy/ketwork/template.tex 2016-8-22 17:52
+%%% template.sce 2016-8-22 17:52
+{\unitlength=5mm%
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\ No newline at end of file
diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig3d/sfbdpara02.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig3d/sfbdpara02.tex
new file mode 100644
index 00000000000..dcf3cd7f9a3
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig3d/sfbdpara02.tex
@@ -0,0 +1,91 @@
+%%% /Users/Hannya/ketcindy/ketwork/template.tex 2016-8-22 17:51
+%%% template.sce 2016-8-22 17:51
+{\unitlength=5mm%
+\begin{picture}%
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+%
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diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig3d/sfbdpara03.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig3d/sfbdpara03.tex
new file mode 100644
index 00000000000..15121319fe4
--- /dev/null
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@@ -0,0 +1,42 @@
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diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig3d/sfbdpara04.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig3d/sfbdpara04.tex
new file mode 100644
index 00000000000..4ea7e247a6a
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig3d/sfbdpara04.tex
@@ -0,0 +1,51 @@
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diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig3d/skeletonparadata01.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig3d/skeletonparadata01.tex
new file mode 100644
index 00000000000..0d8dfb8d255
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig3d/skeletonparadata01.tex
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diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig3d/skeletonparadata02.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig3d/skeletonparadata02.tex
new file mode 100644
index 00000000000..1f60f627c60
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig3d/skeletonparadata02.tex
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diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig3d/skeletonparadata03.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig3d/skeletonparadata03.tex
new file mode 100644
index 00000000000..9eaf162bd3f
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig3d/skeletonparadata03.tex
@@ -0,0 +1,68 @@
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new file mode 100644
index 00000000000..7f2d41c4a85
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diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig3d/wirepara3.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig3d/wirepara3.tex
new file mode 100644
index 00000000000..988e49b724b
--- /dev/null
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diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig3d/wirepara4.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig3d/wirepara4.tex
new file mode 100644
index 00000000000..82c5a44ea68
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig3d/wirepara4.tex
@@ -0,0 +1,320 @@
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\ No newline at end of file
diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig3d/wirepara5.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig3d/wirepara5.tex
new file mode 100644
index 00000000000..990f901f33c
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Fig3d/wirepara5.tex
@@ -0,0 +1,253 @@
+%%% /Users/Hannya/ketcindy/ketwork/template.tex 2016-8-23 7:29
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diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Figmv/moviedata01.png b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Figmv/moviedata01.png
new file mode 100644
index 00000000000..cee0993d534
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Figmv/moviedata01.png
diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Figmv/mvgaiyou01.png b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Figmv/mvgaiyou01.png
new file mode 100644
index 00000000000..6954a844c47
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Figmv/mvgaiyou01.png
diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Figmv/templatemvmoviefigs.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Figmv/templatemvmoviefigs.tex
new file mode 100644
index 00000000000..09d4cdcc506
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/Figmv/templatemvmoviefigs.tex
@@ -0,0 +1,9302 @@
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new file mode 100644
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diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/KeTCindyReferenceJ.pdf b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/KeTCindyReferenceJ.pdf
new file mode 100644
index 00000000000..9915d80d6fa
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/KeTCindyReferenceJ.pdf
diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/KeTCindyReferenceJ.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/KeTCindyReferenceJ.tex
new file mode 100644
index 00000000000..7c2eb7564fc
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/KeTCindyReferenceJ.tex
@@ -0,0 +1,5842 @@
+\documentclass[papersize,a4paper,12pt,uplatex]{jsarticle}
+\usepackage{ketpic,ketlayer}
+\usepackage{amsmath}
+\usepackage{newtxmath}
+\usepackage[dvipdfmx]{graphicx,color}
+\usepackage{wrapfig}
+\usepackage[dvipdfmx,bookmarks=false,colorlinks=true,linkcolor=blue]{hyperref}
+\setmargin{20}{20}{15}{25}
+\usepackage{setspace}
+
+
+\begin{document}
+\title{\ketcindy リファレンスマニュアル}
+\author{\ketcindy\ Project Team}
+\maketitle
+
+
+\tableofcontents
+
+\newpage
+
+
+\section{\ketcindy について}
+\subsection{システムの構成}
+\ketcindy は，Cinderella での作図データをScilab版 \ketpic に渡し，\LaTeX ファイルを作成するためのスクリプトライブラリである。Cinderella によるインタラクティブな作図機能と，CindyScript によるプログラミングにより，\LaTeX 文書の挿入図を効率よく作成することができる。また，R,Maxima,Risa/Asirなどの数式処理ソフトと連携して計算を行うことができる。
+
+\input{Fig/concept}
+
+　Cinderellaで作図した図のデータは，Scilabのファイル（拡張子 sci）に書き出される。これをScilabで処理して\TeX ファイルを作成する（ Scilab版 \ketpic）。できた\TeX ファイルを，本文中に inputコマンド で挿入すれば図が表示される。\\
+　CinderellaとScilabやその他のソフトウェアとの連携には，バッチファイル（Macではシェルファイル）を用いている。(概念図の両方向矢印)　バッチファイルは kc.bat，シェルファイルは kc.sh で，KeTCindy が目的に応じてこれらのファイルを書き出し，プラグイン KetCindyPlugin.jar でそれらを実行する手順になっている。\\
+　\\
+\subsection{Cindyscriptのスロットの概念}
+CindyscriptはCinderellaのプログラミング言語で，スクリプトエディタで記述する。スクリプトエディタは，「スクリプト」メニューの「Cindyscript」を選択して開くか，Ctrl+9 (Windows) / ⌘＋9 (Mac) で開く。\\
+　スクリプトエディタの左方に並んでいるフォルダアイコンのメニュー風のものを「スロット」といい，Cindyscriptの実行タイミングによりスクリプトを書き分けることができる。通常は Initialzation スロットと Draw スロットを使う。\\
+　Initialzation スロットは，スクリプトを実行すると最初に一度だけ実行される。従って，関数定義や変数の初期設定などを書く。ひな形やサンプルの cdy ファイルではここに KETlib というページがあり，パス名の設定やライブラリの読み込みなど，KeTCindyの初期設定に関する記述がある。\\
+　Draw スロットは，Cinderellaの画面上でなにか操作が行われるたびに実行される。通常はここにスクリプトを書く。ひな形のcdyファイルでは，Ketinit() などが記述された figures ページが用意されている。\\
+　\\
+　　　　\includegraphics[bb=0 0 1076 392 , width=10cm]{Fig/slot.png}\\
+　\\
+　１つのスロットに複数のページを作ることができる。KETlib以外に初期設定のスクリプトを書く場合は，Initialzation スロットに新しいページを作るのがよい。\\
+
+
+\subsection{プロットデータ} 
+プロットデータ(Plot Data) とは，関数のグラフや幾何要素を描くデータのことであり，KeTCindyの処理の中核をなしている。本マニュアルでは PD と略すことがある。たとえば曲線は，描画範囲を分割して線分の集まりとして描画しており，このときのプロットデータはそれらの線分の端点のリストである。\\
+　プロットデータの名称はKeTCindyが自動的に命名する。その命名規則は次の通りである。\\
+\\
+・名称の頭部は，プロットデータを作成する関数ごとに決まっている。\\
+・第１引数に name が与えられる場合，name を頭部に付加する。\\
+　　　例：\verb|Listplot("1",[[0,0],[1,2]]);|　のとき，sg1\\
+・関数によっては，第１引数の name を略すことができる。この場合，引数で用いられた点の名前を頭部に付加する。\\
+　　　例：\verb|Listplot([A,B,C]);|　　　　のとき，sgABC\\
+　\\
+　プロットデータを生成したときは，Cindyscriptエディタのコンソールにその名称を表示する。上の例では，\\
+　　　　\verb|generate Listplot sgABC|\\
+と表示される。プロットデータを操作する関数では，このPDの名称を用いる。\\
+　プロットデータの内容を知りたい場合は，Cindyscriptの\\
+　　　　println(プロットデータ名)\\
+でコンソールに表示することができる。\\
+　プロットデータは，Cindyscriptによるプログラムで作成してそれをKeTCindyで利用することもできる。Listplot()の例を参照のこと。ただし，要素の数が大きいとScilabでエラーとなるので，１つのプロットデータの要素は200程度とするのがよい。これより多い場合は分割する。\\
+
+\subsection{Cinderellaの作図ツール}
+ 　\\
+\includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/move.png}　　動かすモード（選択モード）にする：標準状態\\
+\includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/single-add.png}　　点を加える\\
+\includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/multi-add-line.png}　　直線を加える\\
+\includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/segment.png}　　線分を加える\\
+\includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/middle.png}　　中点を加える\\
+\includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/intersection.png}　　交点を加える\\
+\includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/multi-add-parallel.png}　　平行線を加える\\
+\includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/multi-add-perp.png}　　垂線を加える\\
+\includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/bisector.png}　　角の二等分線を加える\\
+\includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/multi-add-circle.png}　　円を加える\\
+\includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/circle-by-radius.png}　　半径つき円を加える\\
+\includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/ellipse-by-foci.png}　　焦点と通る点で決まる楕円\\
+\includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/hyperbola-by-foci.png}　　焦点と通る点で決まる双曲線\\
+\includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/parabola-by-foci.png}　　焦点と準線で決まる放物線\\
+\includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/polygon.png}　　多角形を加える\\
+\includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/angle-mark.png}　　角に印をつける\\
+\includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/angle.png}　　角度を測る\\
+\includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/delete.png}　　選択した要素を消去する\\
+\includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/select-points.png}　　点をまとめて選択する\\
+\includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/select-lines.png}　　線分をまとめて選択する\\
+　\\
+設定メニューから「上のツールバーのカスタマイズ」を選び，「すべて表示」にすると現れるツール\\
+\includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/mirror.png}　　鏡映\\
+\includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/polar-of-point.png}　　点の極線を描く\\
+　\\
+画面ツール（下のツールバー）\\
+\includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/translate-view.png}　　原点を移動する\\
+\includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/zoom-in.png}　　矩形領域を画面サイズに拡大\\
+\includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/zoom-out.png}　　画面を矩形領域サイズに縮小\\
+\includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/snap.png}　　軸と方眼を表示し格子点にスナップする\\
+
+\subsection{用語解説} 
+インシデント\\ 
+　点が曲線上に乗っている状態を表す。\\
+インスペクタ\\
+　幾何要素の属性などを管理するウィンドウ。\\
+幾何要素　　\\
+　Cinderellaの作図ツールで作図した点や直線などの要素\\
+幾何点　\\
+　幾何要素としての点。マウスドラッグで動かすことができる。\\
+固定点\\
+　マウスドラッグで移動することのできない点\\
+コンソール\\
+　スクリプトエディタの右下のエリア。\\
+自由点\\
+　マウスドラッグで任意に動かすことのできる点。\\
+スロット　　\\
+　Cindyscriptで，スクリプトを書くとき，実行タイミングによりに分類するもの\\ 
+スナップ　\\
+　マウスポイントが格子点の近くに来ると格子点上にぴったり移動する。\\
+　Cinderellaの画面の下方ツールのうち，磁石アイコンによりこのモードになる。\\
+
+\newpage
+%=======================
+\section{定数と変数}
+KeTCindy は Cindyscript で記述されている。CindyScriptでは，変数名は大文字と小文字を区別するが，関数名は大文字小文字を区別しない。Cindyscriptのマニュアルでは組み込み関数名はすべて小文字で表記されている。例示されたスクリプトでは，変数も小文字である。そこで，KeTCindyでは，組み込みの変数名・関数名と区別しやすいように，次の規則により名前を付けている。\\
+　\\
+　・グローバルな変数はすべて大文字か，大文字で始まるものとする。\\
+　・局所変数は小文字で，関数定義の冒頭で regional() により局所変数として宣言する。\\
+　・関数名は大文字で始まる。\\
+　\\
+　なお，CindyScriptは関数型プログラミング言語であり，命令はすべて関数を用いて行われるが，本マニュアルでは，文脈により「コマンド」という表現も用いる。\\
+　\\
+{\bf 定数} \\
+　つぎのものがCindyScriptに予約されており，小文字で表されている。\\
+
+\begin{tabbing}
+12345678\=\kill
+　　pi　  \>：円周率。Scilabには \% pi で書き出される。\\
+　　i　　\> ：虚数単位。Scilabには \% i で書き出される。\\
+\end{tabbing}
+　一般のプログラミングでは変数 i をループ変数としてよく使うが，CindyScript では i は予約定数と考え，変数として用いないことを勧める。ただし，変数としてまったく使えないわけではなく，変数として用いた後，必要があれば　\verb|i=complex([0,1])|　 を実行することにより虚数単位として再定義することができる。\\
+　\\
+{\bf 予約変数}\\
+　KeTCindy が内部的に使用する予約変数がある。そのうち次のものはユーザーが値を変更または設定することができる。設定は Initalization スロットの「KETlib」ページでおこなうが，Fhead とTexparent は Draw スロットでもよい。\\
+\begin{tabbing}
+1234567890123\=45678989012345678901234567890123\=\kill
+　Fhead　\>書き出されるファイル名の頭部\\
+　Texparent　\>親プロセスのファイル名\\
+　Dirhead　\>パスの頭部\\
+　Dirlib　\>ライブラリ ketlib のパス\\
+　Dirbin　\>ketbin のパス\\
+　Dirwork　\>作業ディレクトリのパス\\
+　Shellfile　\>シェルファイル名\\
+\end{tabbing}
+　以下の予約変数は，ライブラリが使用するグローバル変数であるので，ユーザーはこれらの変数名を使ってはいけない。なお，変数は大文字小文字を区別するので，小文字で書く分には支障はない。したがって，ユーザーが作るプログラムでは，すべて小文字か，先頭だけが大文字の変数を使うことを勧める。\\
+　\\
+ADDAXES，　ArrowlineNumber，　ArrowheadNumber，　BezierNumber，\\
+COM0thlist，　COM1stlist，　COM2ndlist，　Dq，　FUNLIST，\\
+Fnamesc ，Fnamescibody，Fnameout，Fnametex，GDATALIST，\\
+GLIST，　GCLIST，　GOUTLIST，　KCOLOR，　KETPICCOUNT，　\\
+KETPICLAYER，　LETTERlist，　LFmark，　MilliIn，　PenThick，　\\
+PenThickInit，　POUTLIST，　SCALEX，　SCALEY，　SCIRELIST，　\\
+SCIWRLIST，　TenSize，　TenSizeInit，　ULEN，　XMAX，　XMIN，　YaSize，\\
+YaThick，　YMAX，　YMIN，　VLIST
+
+\newpage
+
+%設定・定義 ==================================
+\section{関数リファレンス}
+\subsection{設定・定義}
+
+\begin{description}
+
+\hypertarget{addax}{}
+\item[関数]　Addax(0または1)
+\item[機能]　座標軸を書くかどうかを定める
+\item[説明]　ScilabのClosefile() の引数に対応する。\\
+　引数が0のとき座標軸を書かない（デフォルトは1）
+\begin{verbatim}
+　Listplot([B,A,C]);
+　Letter([A,"ne","A",B,"se","B",C,"se","C"]);
+\end{verbatim}
+　\\
+　\input{Fig/addax1}
+\begin{verbatim}
+　Listplot([B,A,C,B]);
+　Letter([A,"ne","A",B,"sw","B",C,"se","C"]);
+　Addax(0);
+\end{verbatim}
+　\input{Fig/addax2}\\
+\begin{flushright}　\hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright}
+　\\
+\hypertarget{addcolor}{}
+\item[関数]　Addcolor(描画コマンド , カラーコード)
+\item[機能]　描画コマンドで描かれる線を指定色で描く
+\item[説明]　描画コマンドはダブルクウォートでくくって文字列とする。描画コマンド内にダブルクウォートがある場合は，シングルクウォートにする。optionのある描画コマンドでoptionを指定しない場合は，必ず空リストをoptionとして書く。描画色は，RGBまたはCMYK。描画色は画面と図版の両方に有効。\\
+　\\
+　例：\verb|Addcolor("Plotdata('2','x^2','x',[])",[1,1,0]);|\\
+　\\
+　\\
+\hypertarget{colorcode}{}
+\item[関数]　Colorcode(文字1,文字2, カラーコード)
+\item[機能]　文字１から文字２へカラーコードを変換する。戻り値は変換されたコード。
+\item[説明]　文字は，"rgb","cmyk","hsv"のいずれか。\\
+　\\
+例：\verb|Colorcode("rgb","cmyk",[1,0,0]); |\\
+　　　 　RGBコードの[1,0,0]をCMYKに変換したコードを返す\\
+　　\verb|Colorcode("cmyk","rgb",[0,1,1,0]);|\\
+　　　　CMYKコードの[0,1,1,0]をRGBに変換したコードを返す\\
+　　\verb|Colorcode("rgb","hsv",[1,0,0]);|\\
+　　　　RGBコードの[1,0,0]をHSVに変換したコードを返す\\
+　\\
+　\\
+\hypertarget{deffun}{}
+\item[関数]　Deffun(関数名 , 定義のリスト)
+\item[機能]　関数を定義する
+\item[説明]　関数定義は，CindyScript の関数定義 f(x):=式 でもできるが，Deffun()を使うことにより，Scilab 側に渡すファイルに\\
+　function　定義式　endfunction;\\
+　が記述されるので，Scilab側でこの関数を利用することができる。目的に応じて使い分けるとよい。\\
+　式のリストには if文を用いた場合分けの関数式を記述することもできる。\\
+　\\
+例：$f(x)=\dfrac{1}{x^2+1}$ を定義し，グラフを描いてx=1 における微分係数を求める。
+\begin{verbatim}
+　　　Deffun("f(x)",["regional(y)","y=1/(x\verb|^|2+1)","y"]);
+　　　Plotdata("1","f(x)","x");
+　　　coeff=Derivative("f(x)","x",1);
+\end{verbatim}
+　　点Aを作図しておくと，点Aをドラッグしたとき常に曲線上に乗せ，その点での\\
+　　接線を引くことができる。
+\begin{verbatim}
+　　　A.xy=[A.x,f(A.x)];
+　　　coeff=Derivative("f(x)","x",A.x);
+　　　Lineplot("1",[A,[A.x+1,A.y+coeff]]);
+\end{verbatim}
+　　　　　\input{Fig/deffun}\\
+
+　例：$f(x)=\left\{\begin{array}{l}1 　(x\geqq 0)\\ -1 　(x<0)\\ \end{array}\right.$ 　　を定義する。
+\begin{verbatim}
+　　Deffun("f(x)",["regional(y)","if(x>=0,y=1,y=-1)","y"]);
+\end{verbatim}
+　if 文はネストすることができる。
+\begin{verbatim}
+　　Deffun("f(x)",["regional y","if(x>1,y=1,
+　　　　　　　　if(x>-1,y=x,y=-1))","y"]);
+\end{verbatim}
+　\\
+
+
+\hypertarget{defvar}{}
+\item[関数]　Defvar(文字列)
+\item[機能]　変数を定義する
+\item[説明]　変数の定義をScilabと共有する。また，ScilabのAssignリストに追加する。\\
+　\\
+　　　例：\verb|Defvar("const=3");|
+　\\
+\hypertarget{drwxy}{}
+\item[関数]　Drwxy()
+\item[機能]　座標軸を描く
+\item[説明]　座標軸はデフォルトでは最後に描かれるが，座標軸上に白抜きの点を表示するなど，先に描くことが必要な場合に用いる。\\
+
+例：点$(-\pi,\ 0)$と$(\pi,\ 0)$を白抜きの点で表示する。
+\begin{verbatim}
+　　Setax([7,"se"]);
+　　Setpt(8);
+　　Drwpt([-pi,0],0);
+　　Drwxy();
+　　Plotdata("1","sin(x)","x",["dr","Num=300"]);
+　　Drwpt([[pi,0],0]);
+\end{verbatim}
+
+　このスクリプトでは，Drwpt([-pi,0],0); を実行したのち座標軸を描き，次に，$y=\sin x$ のグラフを描いてから Drwpt([pi,0],0);を実行するので，点($-\pi$,0) の上を座標軸が通り，点($\pi$,0)は座標軸とグラフの上を通るので白抜きになる。\\
+
+\input{Fig/drwxy}
+　\\
+　\\
+\hypertarget{fontsize}{}
+\item[関数]　Fontsize(記号)
+\item[機能]　フォントサイズを設定する
+\item[説明]　次に Fontsize() を実行するまで有効\\
+　記号は，"t" , "ss" , "f", "s" , "n" , "la",  "La", "LA", "h" , "H"\\
+
+例:小さい方からいくつか表示する。
+\begin{verbatim}
+　　Ptsize(2);
+　　Drawpoint([A,B,C,D,E,F,G]);
+　　Fontsize("t"); Letter([A,"s2","A"]);
+　　Fontsize("ss"); Letter([B,"s2","B"]);
+　　Fontsize("s"); Letter([C,"s2","C"]);
+　　Fontsize("la"); 	Letter([D,"s2","D"]);
+　　Fontsize("La"); Letter([E,"s2","E"]);
+　　Fontsize("h"); Letter([F,"s2","F"]);
+　　Fontsize("H"); Letter([G,"s2","G"]);
+\end{verbatim}
+　　\input{Fig/fontsize}
+
+\begin{flushright}　\hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright}
+\newpage
+\hypertarget{ketinit}{}
+\item[関数]　Ketinit(options)
+\item[機能]　\ketcindy を初期化する
+\item[説明]　opution 縦方向の倍率と描画領域を設定\\
+
+　例：\verb|Ketinit()|   ：倍率１，描画領域 $-5 \leqq x \leqq 5 , -5 \leqq y \leqq 5$（デフォルト）\\
+　　　\verb|Ketinit(2)| ： 倍率２，描画領域 $-5 \leqq x \leqq 5 , -5 \leqq y \leqq 5$\\
+　　　\verb|Ketinit(2,[-2,3],[-2,4])| ： 倍率２，描画領域 $-2 \leqq x \leqq 3 , -2 \leqq y \leqq 4$\\
+
+　描画領域(TeXに出力する領域)は制御点SW（左下）とNE（右上）を対角とする矩形領域。描画領域を指定すると，制御点がなければその位置に作り，すでに存在する場合は何もしない。作成された制御点はドラッグして描画領域を変更することができる。\\
+　倍率は，Setscaling(倍率)を実行するのと同じ。ただし，Cinderellaで作図した幾何要素に対しては無効。(Setscaling()の項参照)\\
+
+\begin{flushright}　\hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright}
+
+\hypertarget{ptsie}{}
+\item[関数]　Ptsize(n) , Setpt(n)
+\item[機能]　表示する点の大きさを設定する。
+\item[説明]　Ptsize() と Setpt() は同じである。デフォルトは１\\
+　Ptsize()はCindyScript風の語法，Setpt() は \ketpic 風の語法\\
+　全体の点の大きさを設定する。点の大きさを個々に変えたい場合は，sizeオプションを用いる。\\
+
+例：１から４までの点の大きさ\\
+　あらかじめ，Cinderellaの作図ツールで点A,B,C,Dを作図しておく。
+\begin{verbatim}
+　　Pointdata("1",A,["size=1"]);
+　　Pointdata("2",B,["size=2"]);
+　　Pointdata("3",C,["size=3"]);
+　　Pointdata("4",D,["size=4"]);
+\end{verbatim}
+
+\input{Fig/pointsize}\\
+
+\begin{flushright}　\hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright}
+\newpage
+\hypertarget{setax}{}
+\item[関数]　Setax()
+\item[機能]　座標軸の書式を設定する。
+\item[説明]　Scilabのみで実行する。Cinderellaの描画面に反映されない。\\
+引数は順番に\\
+　1. 軸の形状（直線は "l" ，矢印は "a"）デフォルトは直線\\
+　2. 横軸名　デフォルトは $x$ \\
+　3. 横軸名の位置\\
+　4. 縦軸名　デフォルトは$y$\\
+　5. 縦軸名の位置\\
+　6. 原点名　デフォルトはO\\
+　7. 原点名の位置\\
+それぞれダブルクウォートでくくる。\\
+７つの引数のうちn番目だけを指定する場合は，[n,"内容"]で指定できる。\\
+また，後方はデフォルトなら省略できる。\\
+
+　　例：座標軸の先端を矢印にし，原点の北西にOを書く。\\
+　　　　\verb|Setax(["a","","","","","","nw"]);|\\
+
+　　例：原点の北西にOを書く。\\
+　　　　\verb|Setax([7,"nw"]);|\\
+
+　　例：先端を矢印にし，横軸をθ，縦軸を$x$にして矢じりの左側に書く。\\
+　　　　\verb|Setax(["a","θ","","x","w"]);|\\
+　\\
+　　　　　\input{Fig/setax(theta)}
+　\\
+
+\begin{flushright}　\hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright}
+\newpage
+\hypertarget{definecolor}{}
+\item[関数]　Definecolor(色名 , 定義のリスト)
+\item[機能]　色名を定義する
+\item[説明]　ユーザー命名の色名を定義する。定義リストは RGBまたはCMYKのリスト\\
+　各色０〜１の範囲で指定する。定義した色名は，Setcolor(color,options)　で使うことができる。なお，KeTCindyでは，68色を色名で使うことができる。次の Setcolor(color,options) 参照）\\
+　\\
+　例：暗い紫色を darkmaz の名称で定義して使う。
+\begin{verbatim}
+　　　Definecolor("darkmaz",[0.8,0,0.8]);
+　　　Setcolor("darkmaz");
+\end{verbatim}
+\hypertarget{setcolor}{}
+　\\
+　\\
+\item[関数]　Setcolor(color,options）
+\item[機能]　描画色の設定
+\item[説明]　引数colorはカラーコードまたは色の名称。\\
+　カラーコードはRGBまたはCMYKをリストで与える。各色０〜１。\\
+　色の名称は次頁の68色が指定できる。ただし，Cinderellaの画面には色は反映されない。\\
+　colorに色の名称を用いた場合は，option として，透明度を０〜１の数で指定できる。１が最も濃く，０は結果として色塗りをしない。\\
+　\\
+例　Cinderellaの描画ツールとCindyScriptで線分AB,ACを60°の角をなすように描いておき，点DとEを弧の両端になるように設定して
+\begin{verbatim}
+　　　Setcolor([1,0,0]);
+　　　Circledata([A,D],["Rng=[0,pi/3]"]);
+　　　Arrowhead(E,[-1,0.8],[2,1]);
+\end{verbatim}
+　を実行すると，矢じりつきの弧を赤で表示することができる。\\
+　１行目は，\verb|Setcolor("red");|　でもよい。\\
+　ただし，Cinderellaの描画面では着色されない。\\
+　描画面でも着色したい場合は，オプション \verb|"color->[R,G,B]"| を用いる。\\
+　上の例の場合，
+\begin{verbatim}
+　　Circledata([A,D],["Rng=[0,pi/3]","color->[1,0,0]"]);
+　　Arrowhead(E,[-1,0.8],[2,1,"color->[1,0,0]"]);
+\end{verbatim}
+　とすれば，描画面でも赤で表示される。\\
+
+　　　　　　\includegraphics[width=3.5cm,bb=0 0 161 134]{Fig/setcolor.pdf}
+　\\
+　\\
+\scalebox{0.9}{\input{Fig/colortable1-34}}
+
+\newpage
+　\\
+　\\
+　\\
+\scalebox{0.9}{\input{Fig/colortable35-68}}
+　\\
+　\\
+\begin{flushright}　\hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright}
+\newpage
+\hypertarget{setmarklen}{}
+\item[関数]　Setmarklen(数)　
+\item[機能]　座標軸の目盛の長さを設定する
+\item[説明]　Htickmark() , Vtickmark() で座標軸に目盛を入れるとき，その長さを設定する。 \\
+ 　　　⇒ \hyperlink{htickmark}{Htickmark([横座標 , 方向 , 文字])}\\
+
+\hypertarget{setorigin}{}
+\item[関数]　Setorigin(座標）  　　
+\item[機能]　描画する座標軸の原点を設定（移動）する
+\item[説明]　描画する座標軸の原点を引数の座標とする。座標は点の識別名でもよい。\\
+
+　例：原点を (3,2) として座標軸を描く。\\
+　　　　\verb|Setorigin([3,2]);|\\
+　　　原点を点Aの位置にして座標軸を描く。\\
+　　　　\verb|Setorigin(A);|  \\
+
+　注意：座標軸とともに，原点のO，軸名なども移動するが，座標系が変更される\\
+　　　　わけではない。\\
+
+　例：原点は(3,2)に移動するが，スクリプトではもとの座標系を使う。
+\begin{verbatim}
+　　　Setorigin([3,2]);
+　　　Listplot([A,B,C,A]);
+　　　Ptsize(3);
+　　　Drawpoint([1,1]);
+　　　Letter([[1,1],"s2","P"]);
+\end{verbatim}
+　左が実行時のCinderellaの画面，右が\TeX の結果。\\
+
+　　　\includegraphics[bb=0 0 227 205 , width=4cm]{Fig/setorigin.png}　　\input{Fig/setorigin}\\
+　\\
+\hypertarget{setpen}{}
+\item[関数]　Setpen(数）  　　
+\item[機能]　線の太さを設定する\\
+　\\[-5mm]
+\begin{flushright}　\hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright}
+　\\
+\hypertarget{setpt}{}
+\item[関数]　Setpt(数)    　　　
+\item[機能]　表示する点の大きさを設定する\\
+
+\hypertarget{setscaling}{}
+\item[関数]　Setscaling(倍率)
+\item[機能]　縦方向の倍率を設定する
+\item[説明]　２次関数の応用問題などでは，グラフが縦に大きくなる場合があり，$y$軸方向のスケーリングを変えることがよくある。次のスクリプトは，$f(x)=-x^2+10x$ のグラフを縦軸方向を半分にして描くものである。\\
+\begin{layer}{150}{0}
+\putnotese{80}{0}{\input{Fig/setscaling}}
+\end{layer}
+　\\
+\begin{verbatim}
+　Setscaling(0.5);
+　A.xy=[0,25/4];
+　B.xy=[5/2,25/4];
+　C.xy=[5/2,0];
+　Listplot([A,B],["do"]);
+　Listplot([C,B],["do"]);
+　Plotdata("1","-2*x^2+10*x","x");
+　Letter([[5,0],"s2w","5",[0,25/2],"w2",
+　　　　"$\frac{25}{2}$",C,"s4","$\frac{5}{2}$"]);
+\end{verbatim}
+%　　　　　　　　　　\input{Fig/setscaling}\\
+　ここで，点A,Bの座標が
+\begin{verbatim}
+　　A.xy=[0,25/4];
+　　B.xy=[5/2,25/4];
+\end{verbatim}
+となっていることに注意されたい。$y$座標をあらかじめ半分にしている。すなわち，Cinderellaで作図した幾何要素に対してはSetscalingは無効である。これは，Putpoint関数を用いて点の位置を決めても同じである。\\
+　たとえば，次のスクリプトでは，Cinderellaの画面上では２本の線分が点Bでつながるが，書き出された\TeX の図では離れてしまう。
+\begin{verbatim}
+　　Setscaling(0.5);
+　　Putpoint("A",[0,2]);
+　　Putpoint("B",[2,2]);
+　　Listplot([A,B]);
+　　Listplot("1",[[0,0],[2,2]]);
+\end{verbatim}
+　\\
+　\\
+%\newpage
+\hypertarget{setunitlen}{}
+\item[関数]　Setunitlen(文字列)
+\item[機能]　単位長を設定する。デフォルトは 1cm\\
+　\\
+　\\
+\hypertarget{setwindow}{}
+\item[関数]　Setwindow(）
+\item[機能]　出力する描画領域を設定する\\
+\item[説明]　出力する描画領域は，通常は２点SWとNEを対角とする矩形領域である。
+この２点をドラッグすることによりビジュアルに描画領域を決められる。\\
+しかし，これとは別に出力範囲を設定したい場合にこの関数を用いる。\\
+また，表を作成したときは，表の範囲が出力範囲として優先される（Tabledata()を実行したとき）ので，表外に図を描いた場合は，最後にこの関数で出力範囲を指定して書き出す。\\
+　\\
+\end{description}
+
+\begin{flushright}　\hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright}
+\newpage
+%第５節＝＝＝＝＝＝＝＝＝＝＝＝＝＝＝＝＝＝＝＝＝＝＝＝＝＝＝＝＝＝＝＝＝
+\subsection{描画}
+
+描画関数は曲線などを作図する関数である。\\
+　基本的な書式は\\
+　　　関数名(name , 点リストなど , options);\\
+であるが，nameの不要なものもある。\\
+　nameは，プロットデータの名称を指定するもので，関数ごとに決められた頭部のあとに付けられる。nameが不要の場合は \ketcindy が自動的に名称を作成する。\\
+　点リストなどは，点の座標，点の識別名，複数の点のリスト，複数の点を示す文字列などがあり，関数によって異なる。点はCinderellaで作図した幾何要素の点を利用できる。\\
+　\\
+　optionsは，線種・表示する文字列・解像度・出力の有無などを指定するオプション群。
+\begin{tabbing}
+1234567890123\=\kill
+　線種はつぎの４通り。デフォルトは実線。\\
+　　"dr, n"　　 \>太さnの実線で描く。Scilab のファイルに Drwline() を出力する。\\
+　　"da,m,n"　\>破線を描く。Scilab のファイルに Dashline() を出力する。\\
+　　　　　　　　\> mは破線の長さ，nは破線の間隔　(m,nは省略可)\\
+　　　　　　　　\>m,n オプションはCinderellaの描画面には反映されない。\\
+　　"id,m,n"　\>ギャップからはじまる破線を描く。Scilab のファイルに Invdashline() を出力する。\\
+　　"do,m,n"　\>点線で描く。Scilab のファイルに Dottedline() を出力する。\\
+　　　　　　　　\>mは点の間隔，nは太さ　(m,nは省略可)\\
+　描画色指定は，Cindyscriptの表記と同様で，RGBのリストで指定するか，色名を用いる。\\
+　　例：\verb|"color->[0,0.7,0]"| で暗い緑になる。\\
+　出力の有無は\\
+　　"notex"　\>Cinderella画面上で補助線として用いた図形をScilabに出力しない\\
+　　"nodisp" \>Cinderella画面上にも出力しない\\
+
+　　　"nodisp"は画面上にも，Scilabへのデータにも出力されないが，プロットデータは作成され，\\
+　　　それを戻り値とするので，プロットデータだけを利用したい場合に有効である。\\
+　　　例　\verb|pdata=Circledata([A,B],["nodisp"]);|\\
+　　　　として，プロットデータ pdata を処理する。\\
+\end{tabbing}
+
+\newpage
+\begin{description}
+
+\hypertarget{anglemark}{}
+\item[関数]　Anglemark(点リスト , options)
+\item[機能]　点リスト[A,B,C]で示された角に弧の形状の角の印をつける。
+\item[説明]　optionsは次の通り。\\
+　　数値　　　角の印の大きさ。デフォルトは１\\
+　　線種　　　"dr, n"  , "da,m,n" , "do,m,n"\\
+　　"Expr=文字"  : 文字を入れる\\
+　　"Expr=位置 , 文字"  : 位置を指定して文字を入れる。位置は頂点からの距離。\\
+
+例：三角形の内角に印をいれ，文字を書き込む。
+\begin{verbatim}
+　　　Listplot([A,B,C,A]);
+　　　Letter([A,"n1","A",B,"w1","B",C,"e1","C"]);
+　　　Anglemark([B,A,C]);
+　　　Anglemark([C,B,A],["Expr=\theta"]);
+　　　Anglemark([A,C,B],[2,"dr,3","Expr=2,\alpha"]);
+\end{verbatim}
+　\input{Fig/anglemark}
+
+※角の印には平行四辺形の形状のものもある。Paramark() を参照のこと。\\
+
+\begin{flushright}　\hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright}
+
+\hypertarget{arrowdata}{}
+\item[関数]　Arrowdata(name,[始点 , 終点] , options) 
+\item[機能]　2点間を結ぶ矢線を描く。プロットデータ名の頭部は ar
+\item[説明]　name は，座標を数値で与えるときに必要。幾何要素の識別名で与えるときはなくてもよい。\\
+　optionsは矢じりの形状などの指定で\\
+　　[ 矢じりの大きさ, 開き角, 矢じり位置, 線種,線の表示色] 
+　のリストで与える。\\
+　開き角は60分法で与える。ただし，° はつけない。5未満の時は18°の倍数指定とする。\\
+　矢じり位置は，線分の長さを１とした始点からの距離。\\
+　ただし，Cinderellaの画面上には全ては反映されない。たとえば，太さ指定をしても太さは同じ。\\
+
+　例：線分ABを矢線にする。\\
+　　　　\verb|Arrowdata([A,B]);|\\
+　　　始点が(2,0) , 終点が(4,3) ，開き角45°，EFの中点に矢じりの先端\\
+　　　　\verb|Arrowdata("1",[[2,0],[4,3]],[1,45,0.5]);|\\
+　　　大きさ２，太さ２\\
+　　　　\verb|Arrowdata([C,D],[2,1,1,"dr,2"]);|\\
+　　　破線で太さ0.5\\
+　　　　\verb|Arrowdata([E,F],["da,0.5"]);|\\
+　　　少し間が空いて太い点線で，Cinderellaの画面上では赤で表示する。\\
+　　　　\verb|Arrowdata([G,H],[2,1,"do,2,3","color-$>$[1,0,0]"]);| \\
+
+　　　\input{Fig/arrowdata}\\
+\\
+
+\begin{flushright}　\hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright}
+
+\hypertarget{arrowhead}{}
+\item[関数]　Arrowhead(点 , 方向 , options) , Arrowhead(点 , プロットデータ,options)
+\item[機能]　点に矢じりだけを描く
+\item[説明]　指定された位置に，指定された方向を向いた矢じりだけを描く。\\
+　点は座標または幾何要素名。方向は原点から見て座標[a,b]の方向。\\
+　optionsは [大きさ，矢じりの開き角，形状と位置] のリスト。\\
+　矢じりの開き角は60分法で片側半分の角。\\
+　形状は， "f" ：塗りつぶしの三角形（デフォルト）または　" l " ： ラインのみ。\\ 
+　位置は，"t"（デフォルト）または "c" , "b"\\
+　　 "t" は矢じりの先端が終点に一致，"c" は三角形の中心が終点と一致，"b" は終点が矢じりの底辺にのる。\\
+　プロットデータを指定したときは，曲線上の点に矢じりをつける。\\
+　曲線には向きがあり，それによって矢じりの向きが決まる。" Invert(プロットデータ) " とすると反対向きの矢じりになる。\\
+　曲線の向きとは，曲線を描くときの順序で，プロットデータの順序でもある。invert() はこのプロットデータを逆順にするものである。\\
+
+例：
+
+\vspace{-8mm}
+\hspace{6mm}
+\begin{layer}{150}{0}
+\putnotese{0}{0}{点 A が下図の位置のとき}
+\putnotese{0}{8}{\input{Fig/ForRef-Arrowhead-1}}
+\putnotese{40}{0}{(ア) Arrowhead(A,[-1,1]);}
+\putnotese{40}{7}{(イ) Arrowhead([1,1],[-1,1],[2,60]);}
+\putnotese{40}{14}{(ウ) Arrowhead(A,[-1,1],[2,30,"b"]);}
+\putnotese{40}{21}{(エ) Arrowhead([1,1],[-1,1],[2,20,"lc"]);}
+\end{layer}
+
+\vspace{2mm}
+\hspace{6mm}
+\begin{layer}{150}{0}
+\putnotese{0}{0}{\input{Fig/ForRef-Arrowhead-ya1}}
+\putnotese{95}{55}{D の座標がわかれ}
+\putnotese{95}{60}{ば，それでもよい}
+\putnotese{12}{27}{(ア)}
+\putnotese{42}{27}{(イ)}
+\putnotese{72}{27}{(ウ)}
+\putnotese{102}{27}{(エ)}
+\putnotese{0}{30}{\input{Fig/ForRef-Arrowhead-2}}
+\putnotese{30}{30}{\input{Fig/ForRef-Arrowhead-3}}
+\putnotese{60}{30}{\input{Fig/ForRef-Arrowhead-4}}
+\putnotese{90}{30}{\input{Fig/ForRef-Arrowhead-5}}
+\end{layer}
+
+\vspace{56mm}
+\hspace{6mm}
+\begin{layer}{150}{0}
+\putnotese{0}{0}{曲線 crBC 上の点 D が}
+\putnotese{0}{5}{下図のようなとき}
+\putnotese{0}{7}{\input{Fig/ForRef-Arrowhead-6}}
+\putnotese{16}{22}{crBC}
+\putnotese{40}{0}{(オ) Arrowhead(D,"crBC");}
+\putnotese{40}{7}{(カ) Arrowhead(D,"crBC",[2]);}
+\putnotese{40}{14}{(キ) Arrowhead(D,"crBC",[2,30,"l"]);}
+\putnotese{40}{21}{(ク) Arrowhead(D,"Invert(crBC)");}
+\end{layer}
+
+\vspace{3mm}
+\hspace{6mm}
+\begin{layer}{150}{0}
+\putnotese{12}{27}{(オ)}
+\putnotese{42}{27}{(カ)}
+\putnotese{72}{27}{(キ)}
+\putnotese{102}{27}{(ク)}
+\putnotese{0}{28}{\input{Fig/ForRef-Arrowhead-7}}
+\putnotese{30}{28}{\input{Fig/ForRef-Arrowhead-8}}
+\putnotese{60}{28}{\input{Fig/ForRef-Arrowhead-9}}
+\putnotese{90}{28}{\input{Fig/ForRef-Arrowhead-10}}
+\end{layer}
+
+\vspace{70mm}
+\hypertarget{bezier}{}
+\item[関数]　Bezier(名前，節点リスト，制御点リスト，[オプション] )
+\item[機能]　単独のベジエ曲線を描く
+\item[説明]　制御点は，各区間に対して，３次の場合２個，２次の場合１個のリストで与える。
+
+　[ [F,G] , [H], ... ]
+
+オプション
+
+"Num=..."  : 節点間の分割数（分点数 $-1$）を指定できる。（デフォルトは10）
+
+\vspace{5mm}
+
+例：
+
+\begin{layer}{150}{0}
+\putnotese{50}{15}{bz1}
+\putnotese{60}{-15}{\input{Fig/checkbe1}}
+\end{layer}
+
+２次ベジエ曲線
+
+Bezier("1",[A,B],[C]);
+
+\vspace{20mm}
+
+\begin{layer}{150}{0}
+\putnotese{50}{20}{bzc}
+\putnotese{60}{-10}{\input{Fig/checkbe2}}
+\end{layer}
+
+３次ベジエ曲線
+
+Bezier("c",[A,B],[C,D]);
+
+\vspace{20mm}
+
+\begin{layer}{150}{0}
+\putnotese{50}{20}{bz3}
+\putnotese{60}{-10}{\input{Fig/checkbe3}}
+\end{layer}
+
+つなげる
+
+Bezier("3",[A,B,C],[[D],[E,F]]);
+
+\vspace{20mm}
+
+\begin{layer}{150}{0}
+\putnotese{50}{20}{bzS}
+\putnotese{60}{5}{\input{Fig/checkbe4}}
+\end{layer}
+
+D,B,E を１直線上にとると，滑らかにつながる
+
+Bezier("S",[A,B,C],[[D],[E,F]]);
+
+\vspace{25mm}
+
+
+\begin{layer}{150}{0}
+\putnotese{16}{27}{bzname}
+\putnotese{15}{10}{\input{Fig/checkbe7}}
+\end{layer}
+
+全て同じ次数の場合，次のようにしてもよい．
+
+Bezier("name", [A,B,C,D], [E,F,G,H,K,L] );   
+
+\vspace{30mm}
+
+\begin{layer}{150}{0}
+\putnotese{50}{20}{bz1a}
+\putnotese{60}{5}{\input{Fig/checkbe5}}
+\end{layer}
+
+オプション
+
+Bezier("1a",[A,B,C],[[D],[E,F]],["Num=3"]);
+
+\vspace{30mm}
+
+\begin{layer}{150}{0}
+\putnotese{50}{20}{bzd5e}
+\putnotese{60}{5}{\input{Fig/checkbe6}}
+\end{layer}
+
+Bezier("d5e",[A,B,C],[[D],[E,F]],["Num=200","da"]);
+
+\vspace{35mm}
+
+
+\begin{layer}{150}{0}
+\putnotese{20}{32}{bz1}
+\putnotese{15}{15}{\input{Fig/checkbe8}}
+\end{layer}
+
+Numを（ベクトルとして）区間ごとに与えることもできる。
+
+Bezier("1", [A,B,C,D], [E,F,G,H,K,L] , [ "Num=[2,3,4]"]);  
+
+\vspace{30mm}
+
+\begin{flushright}　\hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright}
+
+
+\hypertarget{beziersmooth}{}
+\item[関数]　Beziersmooth(名前，節点リスト，[オプション] )
+\item[機能]　節点間を３次ベジエ曲線でスムーズに結んだ曲線を描く
+\item[説明]　節点をはさむ制御点は１直線上にとる（したがって，１つは半自由点で，直線上しか動けない）。
+制御点は自動的に配置される。その後，節点や制御点を動かして，描きたいものにする。
+
+例：
+
+\begin{layer}{150}{0}
+\putnotese{70}{25}{bz1}
+\putnotese{40}{-5}{\input{Fig/checksm1}}
+\end{layer}
+
+Beziersmooth("1",[A,B,C,D]);
+
+\vspace{20mm}
+
+\begin{layer}{150}{0}
+\putnotese{70}{35}{bz1}
+\putnotese{40}{10}{\input{Fig/checksm2}}
+\end{layer}
+
+その後，節点や制御点\\
+を動かして，描きたい\\
+ものにする。ただし，\\
+C2p は C1q と B を通\\
+る直線上しか動けない。\\
+C3p は C2q と C を通\\
+る直線上しか動けない。
+
+\vspace{10mm}
+
+
+\hypertarget{beziersym}{}
+\item[関数]　Beziersym(名前，節点リスト，[オプション] )
+\item[機能]　節点間を３次ベジエ曲線でスムーズに結んだ曲線を描く
+\item[説明]　節点をはさむ制御点は節点に関し対称（片方は表示されず，動かせない）。
+制御点は自動的に配置される。その後，節点や制御点を動かして描きたいものにする。
+
+例：
+
+\begin{layer}{150}{0}
+\putnotese{70}{20}{bz1}
+\putnotese{40}{-5}{\input{Fig/checksy1}}
+\end{layer}
+
+Beziersym("1",[A,B,C,D]);\\
+C2p と C3p は表示され\\
+ない。
+
+\vspace{10mm}
+
+\begin{layer}{150}{0}
+\putnotese{70}{30}{bz1}
+\putnotese{40}{0}{\input{Fig/checksy2}}
+\end{layer}
+
+その後，節点や制御点\\
+を動かして，描きたい\\
+ものにする。\\
+C2p と C3p は表示さ\\れず，動かせない。
+　\\
+\begin{flushright}　\hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright}
+
+\hypertarget{bowdata}{}
+\item[関数]　Bowdata(点リスト , options)
+\item[機能]　弓形を描く
+\item[説明]　点リストで与えられた２点を結ぶ弓形を描く。\\
+　２点を反時計回りに回る方向に弓形を描く。\\
+　optionsは，[曲がり , 空白サイズ  , 文字, 線種]\\
+　　曲がり　は弧の曲がり具合の指定。デフォルトは１\\
+　　空白サイズ　は中央にあける空白の大きさ\\
+　　文字は，"Expr=文字" \\
+　　また，"Expr=位置 , 文字"  で位置を指定して文字を入れる。位置はe,w,n,s,c\\
+
+例　三角形ABCの各辺に弓形マークをつけ記号を入れる。
+\begin{verbatim}
+　　　Listplot([A,B,C,A]);
+　　　Letter([A,"n1","A",B,"w1","B",C,"e1","C"]);
+　　　Bowdata([A,B]);
+　　　Bowdata([B,C],[1,"Expr=s3,a"]);
+　　　Bowdata([C,A],[2,1.2,"Expr=10","da"]);
+\end{verbatim}
+　　　\input{Fig/bowdata}\\
+
+　以上が基本。これに加え，文字を回転して表示する方法がある。\\
+　ただし，Cinderellaの画面には反映されない。\\
+　文字をを回転するには次のように書く。\\
+　"Exprrot=微小移動 , 文字"\\
+　　　微小移動は t , n ,u \\
+　　　　　t は線分方向の微小移動。移動量は数字をつける。正負が可。\\
+　　　　　n は線分と垂直方向の微小移動\\
+　　　　　u は上下反転\\
+　t , n , u は組み合わせることができる。
+　以下にいくつか例を示す。
+\begin{verbatim}
+　　Bowdata([B,A],[1,1,"Exprrot=a"]);
+　　Bowdata([D,C],[1,1,"Exprrot=t3,a"]);
+　　Bowdata([F,E],[1,1,"Exprrot=t-3,a"]);
+　　Bowdata([H,G],[1,1,"Exprrot=n3,a"]);
+　　Bowdata([L,K],[1,1,"Exprrot=u,a"]);
+　　Bowdata([N,M],[1,1,"Exprrot=t3u,a"]);
+\end{verbatim}
+　\input{Fig/bowdata2}\\
+
+\begin{flushright}　\hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright}
+
+\hypertarget{bspline}{}
+\item[関数]　Bspline(名前，制御点リスト，[オプション] )
+\item[機能]　２次B-spline曲線を描く
+\item[説明]　節点は自動的に計算され，表示されない\\
+
+
+例：\verb|Bspline("1",[A,B,C,D,E]);|\\
+　　\verb|Bezier("1",[A,(B+C)/2,(C+D)/2,E],[B,C,D]);|\\
+　　と同じ。曲線の名前が bz1 ではなくbzb1 となる。\\
+　　通常のB-spline曲線の端の制御点の代わりに，端点を動かせるようにしている。\\
+　　　　\input{Fig/checkbs1}
+
+
+例：\verb|Bspline("1",[A,B,C,D,A]);|\\
+　リストの最初と最後が同じ場合は閉曲線になる。\\
+　\verb|Bezier("1",[(D+A)/2,(A+B)/2,(B+C)/2,(C+D)/2,(D+A)/2],[A,B,C,D]);| と同じ。\\
+　\\
+　　　　\input{Fig/checkbs2}
+　\\
+\hypertarget{crspline}{}
+\item[関数]　CRspline(名前，節点リスト，[オプション] )
+\item[機能]　単独のCatmull-Rom スプライン曲線を描く
+\item[説明]
+　自由点は，節点のみで，制御点は節点から作られ移動はできない。\\
+　オプションに，通常のオプションのほか，次の２つが使える。\\
+　　"size-$>$n" 　　　　画面上での線の太さを指定する。\\
+　　"pointsize-$>$n"　　制御点の大きさを指定する。0のとき非表示となる。\\
+
+例：\verb|CRspline("3",[A,B,C,D]);|\\
+　　　\input{Fig/checkCR}
+　\\
+\hypertarget{circledata}{}
+\item[関数]　Circledata(name,リスト,options)　
+\item[機能]　円または多角形を描く。
+\item[説明]　中心の点と，円周上の1点，または３点をリストで与えて円を描く。\\
+　プロットデータの名前は，"cr" に引数の name を付加したものとなる。\\
+　中心と円周上の点を，座標ではなく幾何要素名で指定する場合は name は省略可。\\
+　optionsは以下のものをリストで与える。省略した場合は実線で円が描かれる。
+\begin{tabbing}
+1234567890123456789012\=\kill
+　　"Rng=[$θ_1,θ_2$]"　\>角$θ_1$から$θ_2$の範囲の弧を描く。角は弧度法で与える。\\
+　　"Num=分割数"　　\>円を描くときの分割数。値が小さい場合は多角形になる。\\
+　　線種　　\>"dr, n"  , "da,m,n" , "do,m,n"\\
+
+\end{tabbing}
+例：原点中心，半径２の円を描く　\verb|Circledata("1",[[0,0],[2,0]]);|\\
+　　A中心，半径ABの円 を描く　\verb|Circledata([A,B]);|\\
+　　A中心，半径２の円 を描く　\verb|Circledata([A,A+[2,0]]);|\\
+　　３点A,B,Cを通る円を描く　　\verb|Circledata([A,B,C]);|\\
+　　　この場合，できた円の中心を \verb|Pointdata("1",[crABCcenter]);| で\\
+　　　作図できる。\\
+　　下図左より，A中心，半径ABの円 を\\
+　　　太さ２の実線で描く　\verb|Circledata([A,B],["dr,2"]);|\\
+　　　破線で描く　　　　　\verb|Circledata([A,B],["da"]);|\\
+　　　点線で描く　　　　　\verb|Circledata([A,B],["do"]);|\\
+　\\
+\input{Fig/circledata1}
+　\\
+例：A中心，半径AB，中心角60°の弧を描く。\\
+　　\verb|Circledata([A,B],["Rng=[0,pi/3]"]); |\\
+　このとき，扇型を描くのであれば，2本の半径を引く必要がある。そのためには，Aが原点，Bがx軸上にあれば，点A,B以外にもうひとつ点Cをとり，その位置を CindyScript を用いて
+\begin{verbatim}
+　　C.xy=|A,B|*[cos(pi/3),sin(pi/3)]
+\end{verbatim}
+ で指定し，扇型ができたのを確かめてから，\verb|Listplot([B,A,C])| を付加すればよい。\\
+\\
+　　　　　　　\input{Fig/circledata2}\\
+\\
+　辺ABが$x$軸と平行でない場合は，角の範囲は０からではなく，ABが$x$軸となす角から始める必要があり，ちょっとした工夫が必要である。中心Aが原点でない場合も含め，次のようなスクリプトで実現できる。\begin{verbatim}
+　　th=arctan2(B.xy-A.xy);
+　　str="Rng=["+text(th+0)+","+text(th+pi/3)+"]";
+　　C.xy=A.xy+|A,B|*[cos(th+pi/3),sin(th+pi/3)]; 
+　　Circledata([A,B],[str]);
+　　Listplot([B,A,C]);
+\end{verbatim}
+１行目は，ABが$x$軸となす角を arctan2 関数 によって求めている。\\
+２行目は引数の文字列を作っている。th+0 , th+pi/3 により弧度法にしている。ここで，+0 が必要である。\\
+\\
+　　　　　　　\input{Fig/circledata3}\\
+\\
+
+複数のオプションをリストで与えることもできる。\\
+
+例：弧を太く描く\\
+　　\verb|Circledata([C,D],["dr,3","Rng=[0,pi/3]"]);|\\
+
+　円はNが大きな値の正N多角形として描いている。optionの ["Num=数値"] によってその細かさを指定できる。Nの値が小さければ正多角形が描けることになる。\\
+例：A中心，半径ABの円と，その円に内接する正六角形
+\begin{verbatim}
+　　Circledata("1",[A,B]);
+　　Circledata("2",[A,B],["Num=6"]);
+\end{verbatim}
+　　　　　　　　\input{Fig/circledata4}\\
+ここで，同じ[A,B]を使うため，nameを付与して区別する必要がある。\\
+また，頂点の位置を変えるのであれば，Rng= オプションを使う。\\
+　　\verb|Circledata("2",[A,B],["Num=6","Rng=[pi/6,13/6*pi]"]);|\\
+　　　　　　　　\input{Fig/circledata5}\\
+\begin{flushright}　\hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright}
+
+\hypertarget{crosspoint}{}
+\item[関数]　Crosspoint(name , PD1 ,PD2 , 範囲)
+\item[機能]　2曲線の交点を作る
+\item[説明]　曲線1と曲線2の範囲にある交点を作る。曲線１と曲線２はプロットデータの名称。\\
+範囲は，交点が存在する範囲を指定する。\\
+
+例：3次曲線の接線がその曲線と交わる点を求める。\\
+２点A,Bを作図ツールで適当なところにとり，次のスクリプトで3次曲線を描く。
+\begin{verbatim}
+　　f(x):=x^3-4*x;
+　　g(x):=d(f(#),A.x)*(x-A.x)+A.y;
+　　A.y=f(A.x);
+　　B.y=g(B.x);
+　　Plotdata("1","f(x)","x");
+　　Lineplot([A,B]);
+\end{verbatim}
+１行目と２行目で3次曲線とその接線を定義し，点A,Bをその上に乗せている。\\
+Plotdata() と Lineplot() により，3次曲線と接線のプロットデータができる。\\
+それぞれの名称はコンソールに出力される。3次曲線は gr1 , 接線は lnAB である。\\
+また，図を見て，交点のある場所を確認して範囲を決める。\\
+プロットデータ名と範囲を用いて次のスクリプトを追加する。\\
+
+　　\verb|Crosspoint("C",gr1,lnAB,[1,2]);|\\
+
+これで，交点Ｃが新たに作られる。\\
+必要に応じ，Letter関数で点の名前を表示すると次のようになる。\\
+\\
+　　　　　　　　\input{Fig/crosspoint}\\
+　\\
+交点が存在しない場合，PD1の端点に点が作られる。\\
+２曲線の交点を作るのに，\hyperlink{putintersect}{Putintersect(点名,PD1,PD2)} 関数を用いることもできる。\\
+\begin{flushright}　\hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright}
+\hypertarget{deqplot}{}
+\item[関数]　Deqplot(name,式，変数名，初期値，options)
+\item[機能]　微分方程式の解曲線を描く
+\item[説明]　微分方程式と初期値を与えて解曲線を描く。\\
+　\\
+例：$y''=-y$で，初期値が$x=0$のとき$y=1,y'=0$ の解曲線\\
+
+　　\verb|Deqplot("1","y``=-y","x",0, [1,0]); |\\
+
+　　　　　　　\input{Fig/deqplot1}\\
+
+例：$y'=y*(1-y)$で，$x=0$のとき，$y=0.5$の解曲線\\
+
+　　\verb|Deqplot("2","y`=y*(1-y)","x",0, 0.5,["Num=100"]);| \\
+
+　　　　　　　\input{Fig/deqplot2}\\
+
+例：$[x,y]'=[x(1-y),0.3y(x-1)]$で，変数は$t$，$t=0$（区間の左端）のときの$x, y$の値が1と0.5 であるときの解曲線
+\begin{verbatim}
+　　　Deqplot("3","[x,y]`=[x*(1-y),0.3*y*(x-1)]","t=[0,20]",
+　　　　　　　　　　　　　　　　　[1,0.5],["Num=200"]);
+\end{verbatim} 
+　\\
+　　　　　　　\input{Fig/deqplot3}\\
+　\\
+　なお，この例では，Cinderellaの画面上の図は誤差が大きくて正確な図にはならないが，\TeX に出力する図は正確な図になる。解像度を上げる(Numの数を大きくする)ことにより，Cinderellaの画面上の図も正確な図に近づく。\\
+
+\begin{flushright}　\hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright}
+
+\hypertarget{drwpt}{}
+\item[関数]　Drwpt(点,option）, Drawpoint(点,options)
+\item[機能]　点を表示する
+\item[説明]　座標または幾何点の識別名を与えて点を表示する。これだけではCinderellaの描画面には描かれないので，描画面にも表示するにはCinderellaの作図ツールで作図するか，Pointdata() または Putpoint() を用いる。\\
+　複数の点の場合は座標または識別名はリストで与える。\\
+　optionに数字 0 を入れると，白抜きで表示する。なお白抜きの場合は，Ptsize()で点の大きさを少し大きめにとるとよい。\\
+　可読性を高めるときはDrawpointを推奨する。\\
+
+例：座標(1,1)と(4,3)に点を表示する。Cinderellaの描画面には描かれない。\\
+　　　\verb|Drwpt([[1,1],[4,3]]);|\\
+
+例：Cinderellaで点A,B,Cを作図しておき，\TeX で表示する。\\
+　　　\verb|Drwpt([A,B,C]); |\\
+
+例：線分ABの右端（B）を白抜きで表示する
+\begin{verbatim}
+　　　Ptsize(5);
+　　　Listplot([A,B]);
+　　　Drawpoint(B,0);
+\end{verbatim}
+　\\
+　　　　\input{Fig/drawpoint}\\
+※　Drawpoint([A,B],0);  とすれば，両端が白抜きになる。\\
+\\
+\begin{flushright}　\hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright}
+
+\hypertarget{drawsegmark}{}
+\item[関数]　Drawsegmark(name,リスト,options）または Segmark(name,リスト,options）
+\item[機能]　線分に印をつける
+\item[説明]　リストで与えられた２点を端点とする線分に印をつける。印には４種類がある。\\
+　optionsは，\\
+　　Type=n：n=1〜4：印の種類\\
+　　Width：二本線のときの線の幅\\
+　例：Listplot()で四角形ABCDを描き線分に印をつけた。
+\begin{verbatim}
+　　　Segmark("1",[A,B],["Type=1"]); 
+　　　Segmark("2",[B,C],["Type=2","Width=1.5"]);
+　　　Segmark("3",[C,D],["Type=3"]);
+　　　Segmark("4",[D,A],["Type=4"]);
+\end{verbatim}
+　　　　\input{Fig/segmark}
+
+\begin{flushright}　\hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright}
+
+\hypertarget{expr}{}
+\item[関数]　Expr([座標 , 位置 , 文字列])
+\item[機能]　\TeX 記法の文字列を与えて数式を書く。
+\item[説明]　Letterで文字列の前後に\$ \$をおくのと同じ。\\
+　導関数の記号（シングルクウォート）$'$は，Scilab でのシングルクウォートの使用とぶつかるので，$`$（バッククウォート）を用いる。\\
+　複数の箇所に文字を書く場合は，Letter() と同様，引数をリストにして与える。\\
+
+例　$f(x)=\dfrac{1}{4} x^2$  とその導関数 $f'(x)=\dfrac{1}{2} x$ の式，軸上に必要な数を入れる。
+\begin{verbatim}
+　　　Expr([[-3,3],"e","f(x)=\frac{1}{4} x^2",[3,1.5],"s2e2",
+　　　　　　"f‘(x)=\frac{1}{2}x",[2,0],"s","2",[0,1],"w","1"]);
+\end{verbatim}
+　\\
+　　　　　\input{Fig/expr}\\
+
+　　※原点Oが線と重なっている。位置をずらすには，Setax() の項を参照のこと。\\
+
+例　対数関数の定積分の記号および積分値を図に書き込む。\\
+　　下図で，定積分の表示の部分は矢線をPQとして，
+\begin{verbatim}
+　　　Arrowdata(Q,P);
+　　　Expr([Q+[0.2,0],"ne","\displaystyle \int_a^b \log x\,dx="+
+　　　　　　text(L.x*(log(L.x)-1)-G.x*(log(G.x)-1)) ]);
+\end{verbatim}
+　　で表示している。\\
+　　\verb|L.x*(log(L.x)-1)-G.x*(log(G.x)-1)| は，点L,G(図の$a,b$)をドラッグして\\
+　　積分範囲を決めるようにしているので，そこから計算した値。\\
+\\
+
+　　　　　\input{Fig/intlog}
+
+\hypertarget{exprrot}{}
+\item[関数]　Exprrot([座標 , 向き , 文字列])
+\item[機能]　\TeX 記法の文字列を与えて傾いた数式を書く。
+\item[説明]　「座標」の位置に，指定された向きで数式を書く。\\
+　向きはベクトルで与える。\\
+　座標，向きとも，Cinderellaで作図した幾何点を用いることができる。\\
+　A(1,1),B(3,2),C(0,2) のとき，次の２つのスクリプトは同じ結果になる。
+\begin{verbatim}
+　　　Exprrot(C,B-A,"\sqrt{3}"); 
+　　　Exprrot([0,2],[2,1],"\sqrt{3}"); 
+\end{verbatim}
+　\\
+
+\begin{flushright}　\hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright}
+
+\hypertarget{ellipseplot}{}
+\item[関数]　Ellipseplot(name,点リスト ,定義域, options)
+\item[機能]　焦点と通る点を与えて楕円を描く。
+\item[説明]　点リストで２つの焦点と通る点を与える。点はCinderellaの幾何点が使える。\\
+　また，通る点のかわりに，焦点からの距離の和を実数で与えることもできる。\\
+　実際には，媒介変数表示$x=a \cos \theta,x=b \sin \theta$ を，回転・平行移動して描いている。定義域はこのときの$t$の定義域で，省略も可能。省略したときの初期値は[-5,5]\\
+
+例：点A,Bを焦点とする楕円を描く。\\
+　　\verb|Ellipseplot("1",[A,B,C]);|　 点Cを通る楕円を描く。\\
+　　\verb|Ellipseplot("1",[A,B,4]);| 　焦点からの距離の和が４である楕円を描く。\\
+　　\verb|Ellipseplot("1",[A,B,C],"[0,pi]");| 　楕円の半分を描く。\\
+　\\
+例：Cinderellaの作図ツールに，焦点と通る点で楕円を描くものがある。また，点の極線を描くツールがある。これを利用すると，楕円上にとった点をインシデントにできるので，インタラクティブに図を変更することができる。このCinderellaの作図機能と合わせて，一方の焦点から出た光が楕円上で反射して他方の焦点に至る，という図を次のようにして描くことができる。\\
+　まず，３つの点A,B,Cを作図する。次に「焦点と通る点で決まる楕円」ツールを選び，点A,B,Cを順に指定すると，楕円が描かれる。\\
+
+　モードメニューの「直線」から「点の極線」を選び，点Cと楕円を順に指定すると接線が引かれる。\\
+　「垂線を加える」ツールを用いて，点Cで垂線，すなわち法線を引く。\\
+　「点を加える」ツールを用いて，接線，法線上に適当に点を取る。(D,Eとなったとする)\\
+　次のスクリプトを書いて実行すると，楕円に関して入射角と反射角が等しくなるように光が反射する様子を図にすることができる。
+\begin{verbatim}
+　　Ellipseplot("1",[A,B,C]);
+　　Lineplot([C,D]);
+　　Lineplot([C,E]);
+　　Arrowdata([A,C]);
+　　Arrowdata([C,B]);
+　　Anglemark([A,C,B]);
+　　Expr([A,"s2","F_1",B,"s2","F_2"]);
+\end{verbatim}
+　\\
+　　\input{Fig/ellipseplot1}\\
+
+　また，接線，法線を描かず，この楕円上に点D,E,・・をとり（個数は任意）次のスクリプトを書けば，何本かの光線が一方の焦点を出て他方の焦点に集まる様子を描くことができる。
+\begin{verbatim}
+　　Ellipseplot("1",[A,B,C]);
+　　Listplot([A,C,B]);
+　　Listplot([A,D,B]);
+　　Listplot([A,E,B]);
+　　Expr([A,"s2","F_1",B,"s2","F_2"]);
+\end{verbatim}
+　\\
+　　\input{Fig/ellipseplot2}\\
+　\\
+
+\hypertarget{framedata}{}
+\item[関数]　Framedata(name , リスト)
+\item[関数]　Framedata2(name ,[P1,P2])
+\item[機能]　矩形を描く
+\item[説明]　中心の座標，横，縦をリスト[中心 ,横 , 縦]で与え，矩形を描く。横，縦は中心からの距離。\\
+　中心の座標は点の名前でもよい。\\
+　中心を座標で与える場合はnameは省略できない。\\
+　横，縦は，矩形の頂点を示す点にすることもできる。\\
+　中心，横，縦を省略した場合は，描画範囲と同一の矩形を描く\\
+　Framedata2() では，対角点（左下P1と右上P2）をリストで与える。\\
+　以下にいくつか例を示す\\
+　\verb|Framedata("1");|　　　　　　描画範囲と同一の矩形を描く\\
+　\verb|Framedata("2",[[0,0],2,2]);|　　原点を中心とする縦横幅４の正方形を描く\\
+　\verb|Framedata("3",[A,3,2]);|　　  　点Aを中心とする横６，縦４の矩形を描く\\
+　\verb|Framedata([A,3,2]);|　　中心が点の名称の場合はnameは省略できる。\\
+　\verb|Framedata([A,B]);|　　 点Aを中心，点Bを頂点のひとつとする矩形を描く\\
+　　　　矩形の角を丸めたい場合は，Ovaldata(name, 点リスト,options)を使う。\\
+　\verb|Framedata2("1",[A,B]);|　 点A，Bを対角点とする矩形を描く\\
+　\\
+
+\hypertarget{hyperbolaplot}{}
+\item[関数]　Hyperbolaplot(name,点リスト ,定義域, options)
+\item[機能]　焦点と通る点を与えて双曲線を描く。
+\item[説明]　点リストで２つの焦点と通る点を与える。点はCinderellaの幾何点が使える。また，通る点のかわりに，焦点からの距離の差を実数で与えることもできる。\\
+　実際には，ハイパボリック関数を用いた媒介変数表示 $x=\cosh t,y=\sinh t$を回転・平行移動している。
+　optionとして，"Asy=線種"　を与えると，漸近線を指定した線種で表示する。デフォルトでは漸近線は非表示。\\
+
+例：点A,Bを焦点とする双曲線を描く。\\
+　　\verb|Hyperbolaplot("1",[A,B,C]);| 　　点Cを通る双曲線を描く。\\
+　　\verb|Hyperbolaplot("1",[A,B,2]);|  　　焦点からの距離の差が2の双曲線を描く。\\
+　　\verb|Hyperbolaplot("1",[A,B,C],["Asy=do"]);| 　漸近線を点線で描く。\\
+
+　　　　　\input{Fig/hyper1}\\
+
+\hypertarget{parabolaplot}{}
+\item[関数]　Parabolaplot(name，点リスト ,定義域, options)
+\item[機能]　点リスト[A,B,C]で示された焦点，準線で決まる放物線を描く。
+\item[説明]　焦点Aと準線BCで決定する放物線を描く。\\
+　実際には，２次関数 $y=x^2$のグラフを回転・平行移動して描いており，定義域は，$y=x^2$での定義域と考えてよい。定義域は省略することもできる。省略したときの初期値は[-5,5]\\
+
+例：点Aを焦点，直線BCを準線とする放物線を描く\\
+　　　\verb|Parabolaplot("1",[A,B,C]); |\\
+　　　\verb|Parabolaplot("1",[A,B,C],"[-5,5]");| 　定義域を $-5 \leqq x \leqq 5$ とする。\\
+　　点(0,1)を焦点，直線$y=-1$を準線とする放物線を描く\\
+　　　\verb|Parabolaplot("1",[[0,1],[-1,-1],[1,-1]]);|\\
+　\\
+例：放物線上の２点で引かれた接線と放物線で囲まれた領域を斜線で描く。\\
+　Cinderellaの作図ツールに，焦点と準線で放物線を描くものがある。また，点の極線を描くツールがある。これを利用すると，放物線上にとった点をインシデントにできるので，インタラクティブに図を変更することができる。このCinderellaの作図機能と合わせて，次の手順で図を描く。\\
+　まず，焦点A(0,1)と準線$y=1$：BCを作図する。次に「焦点と準線で決まる放物線」ツールを選び，点Aと直線BCを指定すると，放物線が描かれる。方程式では$y=\dfrac{1}{4}x^2$の放物線である。\\
+　次に，放物線上に点D,Eをとる。Cinderellaの作図機能を用いているので，この２点は放物線上だけを動かすことができる。（インシデント）\\
+　モードメニューの「直線」から「点の極線」を選び，点Dと放物線，点Eと放物線を順に指定すると接線が引かれる。その交点に点を取る。\\
+　\\
+　　　　　　\includegraphics[bb=0 0 964 826 , width=6cm]{Fig/parabolaplot.png}\\
+　\\
+　以上で作図ができたので，次のスクリプトを書いて実行する。
+\begin{verbatim}
+　　Parabolaplot("1",[A,B,C]); 
+　　Lineplot([D,F]);
+　　Lineplot([E,F]);
+　　Listplot([E,F,D]);
+　　Hatchdata("1",["ii"],[["gr1para","s"],["sgEFD","n"]]);
+\end{verbatim}
+　\\
+　これで，次図ができる。このあと，文字などは適当に追加する。\\
+　\\
+　　　　　　　　　　　\input{Fig/parabolaplot}
+　\\
+\begin{flushright}　\hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright}
+　\\
+\hypertarget{ovaldata}{}
+\item[関数]　Ovaldata(name, 点リスト,options)
+\item[機能]　角を丸くした矩形を描く
+\item[説明]　中心と対角の１点を指定し，角を丸くした矩形を描く\\
+　optionsは，角の落とし具合と線種など。デフォルトは0.2 \\
+
+例：いくつかの例を示す。
+\begin{verbatim}
+　　Ovaldata("1", [A,B]);
+　　Ovaldata("2", [C,D],[0]);
+　　Ovaldata("3", [E,F],[1,"dr,3"]);
+　　Ovaldata("4", [G,H],[1.5,"da"]);
+\end{verbatim}
+　\input{Fig/ovaldata}\\
+　\\
+\begin{flushright}　\hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright}
+
+\hypertarget{htickmark}{}
+\item[関数]　Htickmark([横座標 , 方向 , 文字])
+\item[機能]　横軸に目盛を書く。
+\item[説明]　Scilabのみで実行する。Cinderellaの描画面には反映されない。引数は位置（横座標），方向，文字。複数点の情報を[ ]内にまとめて記入できる。\\
+
+例　点$(2,\ 0)$の南西側に$2$を表示する。\\
+　　\verb|Htickmark([2,"sw","2"]);|\\
+
+例　-5から5までの目盛を打つ。\\
+　Cindyscriptのリスト処理を使って，次のように引数のリストを作って渡す。
+\begin{verbatim}
+　　memori=apply(-5..5,x,[x,"s",text(x)]);
+　　memori=flatten(remove(memori,[[0,"s","0"]]));
+　　Htickmark(memori);
+\end{verbatim}
+　１行目，apply のカッコ内の -5..5 でリスト[-5,-4,-3,-2,-1,0,1,2,3,4,5] ができる。\\
+　それを用いて，applyで[数, "s",数の文字] からなるリストができる。text(x) はxを文字にする関数。\\
+　２行目で，このリストから，[0,"s","0"]を除き，リストを平滑化する。\\
+　結果は次のようになる。\\
+
+\input{Fig/htickmark}\\
+
+\hypertarget{vtickmark}{}
+\item[関数]　Vtickmark([横座標 , 方向 , 文字])
+\item[機能]　縦軸に目盛を書く。
+\item[説明]　Htickmarkと同様。縦軸に目盛を書く。\\
+
+例：点$(0,\ 1),\ (0,\ 2)$の西側に$1,\ 2$を表示する。\\
+　　\verb|Htickmark([1,"w","1",2,"w","2"]);|\\
+\\
+
+\begin{flushright}　\hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright}
+
+\hypertarget{implicitplot}{}
+\item[関数]　Implicitplot(name,式,xの定義域,yの定義域, options)
+\item[機能]　陰関数のグラフを描く。
+\item[説明]　陰関数の式を与えてグラフを描く。式，定義域とも文字列。\\
+　options は，"r","m","Wait=n" が指定できる。Wait の初期値は10。\\
+　"r","m"に関しては，オプションなしまたは，”” のとき\\
+　　i) データファイルがなければ，新しく作る\\
+　　ii) データファイルが既にあればそれを読み込む\\
+　"m"  のとき，強制的にデータファイルを作り直す。\\
+　"r" のとき，すでにあるデータファイルを読み込む。\\ 
+
+例：楕円を描いて，中にハッチをかける。
+\begin{verbatim}
+　　Implicitplot("1","x^2+2*y^2=4","x=[-2,2]","y=[-2,2]");
+　　Hatchdata("1","i",["imp1"]);
+\end{verbatim}
+　注）ここで，yの定義域は実際より広くとってある。"y=[-1,1]" とすると，上下が欠けた楕円になる。曲線だけならそれでよいが，その場合，閉曲線ではないのでHatchdata() で無用に時間がかかってしまうので要注意。\\
+　\\
+
+\hypertarget{letter}{}\item[関数]　Letter([位置, 方向, 文字列])
+\item[機能]　文字列を表示する
+\item[説明]　「位置（座標）」と方向で指定された場所に文字を書き込む。\\
+　位置（座標）は点の名前で指定することもできる。場所は上下左右中央（ n/s/w/e/c )の方向で表す。（n/s/w/e は東西南北の記号）\\
+　\\
+　　　　　　　\input{Fig/letter4}\\
+　指定位置からの距離を，数値で与えることもでき，e2, e3 は e より少し離して置く。\\
+　複数の文字列をリストの形にして渡すことができる。\\
+　注）導関数の記号$'$は，数式モード（\$ ではさむ）で$`$（バッククウォート）を用いる。\\
+  
+例：座標 (2,1) の南東にＰを表示\\
+　　　　\verb|Letter([2,1] ,"se","P");|\\
+　　点Ｃを中央としてＣを表示\\
+　　　　\verb|Letter(C ,"c", "C");|\\
+　　点Aの南西にA，Eの南に数式を表示\\
+　　　　\verb|Letter([A,"sw","A",E,"s","$ f(x)=\frac{1}{4} x^2 $"]);| \\
+　\\
+%\input{Fig/letter3}
+
+\hypertarget{letterrot}{}\item[関数]　Letterrot(座標, 方向ベクトル,移動量, 文字列)
+\item[機能]　文字列を回転して表示する
+\item[説明]　座標で示された位置に，方向ベクトルで指定された向きに回転して文字を書き込む。\\
+　第３引数は微小移動量で，略すこともできる。\\
+　A(1,1),B(3,2),C(0,2) のとき，次のスクリプトは同じ結果になる。
+\begin{verbatim}
+　　　Letterrot([0,2],[2,1],2,5,"AB");
+　　　Letterrot([0,2],B-A,2,5,"AB");
+　　　Letterrot(C,B-A,2,5,"AB");
+　　　Letterrot(C,B-A,"t2n5","AB");
+\end{verbatim}
+　移動量を略して\\
+　　　\verb|Letterrot(C,B-A,"AB");|\\
+　とすることもできる。この場合は，微小な移動はされない。\\
+
+
+\begin{flushright}　\hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright}
+
+\hypertarget{lineplot}{}
+\item[関数]　Lineplot（name , 2点のリスト , options)
+\item[機能]　２点のリストで示された点を結ぶ直線を描く。プロットデータ名の頭部は ln
+\item[説明]　２点のリストは座標または幾何要素の名前で与える。\\
+　　options は次の通り。\\
+　　　線種　　　"dr, n"  , "da,m,n" , "do,m,n"\\
+　　　"+"　　    半直線を描く。\\
+　　"dr" , "da" , "do" と "+" はリストにして両方指定することができる。\\
+　点のリストが，座標ではなく幾何要素名のリストの場合は，nameは省略できる。\\
+　いくつか例を示す。\\
+　　　各座標を結ぶ直線を引く\\
+　　　　　 \verb|Lineplot("1",[[0,0],[1,2]])|　\\
+　　　Cinderellaの描画ツールで２点A,Bをとっておき，直線ABを引く\\
+　　　　　\verb|Lineplot([A,B]);| \\
+　optionの働きの例\\
+　　　\verb|Lineplot([A,B],["dr,0.5","+"]);|　　Aを端点とする半直線を引く\\
+　　　\verb|Lineplot([C,D],["dr,2"]);|　　　　直線CDを太さ2で描く\\
+　　　\verb|Lineplot([E,F],["da"]);|　　　　　直線EFを破線で描く\\
+　　　\verb|Lineplot([G,H],["do"]);|　　　　　直線GHを点線で描く\\
+　結果は，次図左上から。\\
+
+　　　　　　\input{Fig/lineplot}\\
+
+\begin{flushright}　\hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright}
+\newpage
+
+\hypertarget{listplot}{}
+\item[関数]　Listplot（name , 点のリスト , options)
+\item[機能]　点のリストで示された点を結ぶ。プロットデータ名の頭部は sg
+\item[説明]　点のリストは座標または幾何要素名のリストで与える。点が，座標ではなく幾何要素名の場合は，nameは省略可 \\
+　プロットデータの名前は，"sg" に引数の name を付加したものとなる。\\
+　options は次の通り。\\
+　　線種　　　"dr, n"  , "da,m,n" , "do,m,n"
+\begin{tabbing}
+1234567890123456789012345678901234\=\kill
+　optionsの使用例\\
+　　\verb|Listplot([A,B]);|　　　　　　\>線分ABを描く。太さはデフォルト。\\
+　　\verb|Listplot([C,D],["dr,2"]);|　　 \>線分ABを描く。太さ２\\
+　　\verb|Listplot([E,F],["da"]);|　　　 \>線分ABを破線で描く\\
+　　\verb|Listplot([G,H],["da,3,1"]);| 　\>線分ABを破線で描く。線を長く\\
+　　\verb|Listplot([K,L],["da,1,3"]);| 　 \>線分ABを破線で描く。間隔を空ける\\
+　　\verb|Listplot([M,N],["do"]);|　　　\>線分ABを点線で描く。\\
+　　\verb|Listplot([O,P],["do,3"]);|　　 \>線分ABを点線で描く。間隔を空ける\\
+　　\verb|Listplot([Q,R],["do,3,3"]);|　 \>線分ABを点線で描く。間隔を空けて太く\\
+　結果は次図左から。
+\end{tabbing}
+　　\input{Fig/listplot3}
+
+　例 : Cinderellaの作図ツールで三角形ABCを描いておく。
+\begin{verbatim}
+　　　　　Listplot([A,B,C,A]);
+　　　　　Addax(0);
+\end{verbatim}
+　　　　\input{Fig/listplot1}\\
+　　　各座標を頂点とする三角形を描く\\
+　　　　\verb|Listplot("1",[[0,0],[2,0],[1,2],[0,0]]);|
+\\
+　プロットデータは点の座標のリストである。したがって，プロットデータを自作してListplot()で表示することができる。\\
+　\\
+例：有限フーリエ級数展開\\
+　　　　　　　　 \[\cfrac{\pi}{2}+\sum_{n=0}^{30} \cfrac{1-(-1)^n}{n}\sin nx\]
+次のようにCindyscriptで関数を定義し，プロットデータpd を作って引数に渡す。
+\begin{verbatim}
+　f(x):=(
+　　s=pi/2;
+　　repeat(30,n,s=s+(1-(-1)|^n)/n*sin(n*x));
+　);
+　pd=apply(0..200,t,
+　　x=-2*pi+t*4*pi/200;
+　　[x,f(x)];
+　);
+　Listplot("1",pd);
+　Expr([[-2*pi,-0.5],"s","-2\pi",[-pi,-0.5],"s","-\pi",[pi,-0.5],"s",
+　　　"\pi",[2*pi,-0.5],"s","2\pi",[0,pi],"w2","\pi"]);
+\end{verbatim}
+　\\
+\begin{center}
+\input{Fig/fourier}
+\end{center}
+　\\
+　リストの長さには制限があるため，あまり長いリストを用いたり，何度も用いたりすることができない。たとえば，タートルグラフィクスを用いたシェルピンスキーのギャスケットでは，次のサイズくらいは可能だが，植物の成長モデルでは分岐が多いためあまり大きな図はできない。スクリプトを工夫して，200くらいずつのリストに分割する。\\
+　　　　　　\input{Fig/listplot2}
+　\\
+　\\
+\hypertarget{mesegmets}{}
+\item[関数]　Mksegments()
+\item[機能]　幾何線分のすべてのPD を作成
+\item[説明]　Ketinit() の直後に置くことにより，Cinderellaの作図ツールで描いたすべての線分をそのままプロットデータとする。たとえば，線分ABを作ると，プロットデータsgABが作成される。その後，インスペクタで点Bの識別名を変更（たとえばQに）すると，プロットデータ名も変更される。線分はすでに描かれていてもよい。\\
+
+\hypertarget{mkcircle}{}
+\item[関数]　Mkcircles()
+\item[機能]　幾何円のすべてのPD を作成
+\item[説明]　Ketinit() の直後に置くことにより，Cinderellaの作図ツールの「円を加える」で描いたすべての円をそのままプロットデータとする。たとえば，中心A，円周上の点をBとした円を作ると，プロットデータcrABが作成される。その後，インスペクタで点Bの識別名を変更（たとえばQに）すると，プロットデータ名も変更される。円はすでに描かれていてもよい。\\
+\\
+
+\begin{flushright}　\hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright}
+
+\hypertarget{mkbeziercrv}{}
+\item[関数]　Mkbeziercrv(名前,[[節点リスト,制御点リスト],[節点リスト,制御点リスト],...],\\
+\hfill[オプション] )
+\item[機能]　複数のベジエ曲線を描く
+\item[説明]　単独のベジエ曲線の場合はリストの外側の[　]はなくてもよい。\\
+Mkbeziercrv|(名前，[節点リスト，制御点リスト]，[オプション] )　は\\
+Bezier(名前，節点リスト，制御点リスト，[オプション] )　と同じ。
+
+
+\vspace{2mm}
+
+例：\verb|Mkbeziercrv("n",[[A,B,C],[[D],[E,F]]]);|　は\\
+　　\verb|Bezier("n",[A,B,C],[[D],[E,F]]);|　と同じ。\\
+　　曲線の名前が bzn ではなく bzn1 となる。
+
+\vspace{2mm}
+
+\begin{layer}{150}{0}
+\putnotese{30}{45}{bz51}
+\putnotese{90}{45}{bz52}
+\putnotese{0}{5}{\input{Fig/checkmc1}}
+\end{layer}
+
+複数の場合は，\verb|[ [ptlist1,ctrlist1], [ptlist2,ctrlist2],...  ]|
+
+\verb|Mkbeziercrv("5",[[[A,B,C],[[D],[E,F]]],[[G,H,K,L],[[M],[N,O],[P]]]]);|
+
+\vspace{40mm}
+\begin{verbatim}
+ptlist1=[A,B,C];ctrlist1=[[D],[E,F]];list1=[ptlist1,ctrlist1];
+ptlist2=[G,H,K,L];ctrlist2=[[M],[N,O],[P]];list2=[ptlist2,ctrlist2];
+list=[list1,list2];
+Mkbeziercrv("5",list);
+\end{verbatim}
+などとしても同じ。
+　\\
+　\\
+\begin{flushright}　\hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright}
+
+\hypertarget{mkbezierptcrv}{}
+\item[関数]　Mkbezierptcrv(節点リストptlist，[オプション] )
+\item[機能]　ベジエ曲線を描く
+\item[説明]　制御点は，自動的に配置される。その後，節点や制御点を動かして，
+描きたいものにする。
+
+複数の場合は　[ ptlist1, ptlist2.... ]
+
+名前は，A から順に自動的につける。
+
+オプション
+
+"Deg=...”　次数指定ができる。（デフォルトは３次）
+
+"Num=..."　各区間の区間数（分点数ー１）を指定できる。（デフォルトは10）
+
+\vspace{5mm}
+
+例：
+
+\begin{layer}{150}{0}
+\putnotese{50}{15}{bzA}
+\putnotese{50}{-5}{\input{Fig/checkb8}}
+\end{layer}
+
+\verb|Mkbezierptcrv([A,B,C]);|
+
+
+\vspace{25mm}
+
+\begin{layer}{150}{0}
+\putnotese{50}{15}{bzA}
+\putnotese{60}{-10}{\input{Fig/checkb11}}
+\end{layer}
+
+その後，節点や制御点を動かして，
+
+描きたいものにする。
+
+\vspace{30mm}
+
+\begin{layer}{150}{0}
+\putnotese{80}{25}{bzA}
+\putnotese{50}{-5}{\input{Fig/checkb9}}
+\end{layer}
+
+\verb|Mkbezierptcrv([A,B,C],["Deg=2"]);|
+
+Deg=2 とすると２次になる。
+
+制御点は各区間に１個ずつできる。
+
+\vspace{20mm}
+
+\begin{layer}{150}{0}
+\putnotese{20}{45}{bzA}
+\putnotese{80}{45}{bzB}
+\putnotese{0}{10}{\input{Fig/checkb10}}
+\end{layer}
+
+複数の場合は　[ ptlist1, ptlist2.... ]
+
+\verb|Mkbezierptcrv([[A,B,C],[D,E,F,G]]);|
+
+\vspace{25mm}
+　\\
+
+
+\begin{flushright}　\hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright}
+\hypertarget{paramark}{}
+\item[関数]　Paramark(点リスト , options)
+\item[機能]　点リスト[A,B,C]で示された角に平行四辺形の形状の角の印をつける。
+\item[説明]　optionsは次の通り。\\
+　　数値　　　角の印の大きさ。デフォルトは１\\
+　　線種　　　"dr, n"  , "da,m,n" , "do,m,n"\\
+　　"Expr=文字"  : 文字を入れる\\
+　　"Expr=位置 , 文字"  : 位置を指定して文字を入れる。位置は頂点からの距離。\\
+
+例：三角形の内角に印をいれ，文字を書き込む。
+\begin{verbatim}
+　　　Paramark([B,A,C]);
+　　　Paramark([C,B,A],[3,"Expr=B"]);
+　　　Paramark([A,C,B],["dr,2","Expr=2,C"]);
+\end{verbatim}
+　\input{Fig/paramark}\\
+
+※角の印には弧の形状のものもある。Anglemark() を参照のこと。\\
+
+\begin{flushright}　\hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright}
+
+\hypertarget{paramplot}{}
+\item[関数]　Paramplot(name , 式 , 変数と定義域,options)
+\item[機能]　媒介変数表示の曲線を描く。プロットデータの頭部は gp
+\item[説明]　式は""でくくった媒介変数表示のリストで与える。\\
+　定義域も " " でくくって文字列とし，t=に続いてリストで指定する。\\
+　options は線種が有効\\
+
+例：サイクロイド曲線を描く。\\
+　　\verb|Paramplot("1","[t-sin(t),1-cos(t)]","t=[0,2*pi]");|\\
+
+\input{Fig/paramplot1}\\
+\begin{verbatim}
+　Deffun("fx(t)", ["regional(x)","x=t-sin(t)","x"]);
+　Deffun("fy(t)", ["regional(y)","y=1-cos(t)","y"]);
+　Paramplot("1","[fx(t),fy(t)]","t=[0,2*pi]");
+\end{verbatim}
+とすれば，関数定義も Scilab に引き継がれる。\\
+　\\
+optionsの使用例。左から，デフォルト，太線，破線，点線の楕円
+\begin{verbatim}
+　Paramplot("1","[2*cos(t),sin(t)]","t=[0,2*pi]");
+　Paramplot("2","[2*cos(t)+5,sin(t)]","t=[0,2*pi]",["dr,2"]);
+　Paramplot("3","[2*cos(t),sin(t)+3]","t=[0,2*pi]",["da"]);
+　Paramplot("4","[2*cos(t)+5,sin(t)+3]","t=[0,2*pi]",["do"]);
+\end{verbatim}
+\input{Fig/paramplot2}
+\\
+
+\begin{flushright}　\hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright}
+
+\hypertarget{plotdata}{}
+\item[関数]　Plotdata(name , 式 , 変数と定義域 , options)
+\item[機能]　関数のグラフを描く。プロットデータの名前は，gr
+\item[説明]　式で表された関数のグラフを，指定された定義域で描く。\\
+　式，定義域は " " でくくって文字列とする。定義域はx=に続いてリストで指定。\\
+　options は次の通り。
+\begin{tabbing}
+12345678901234567890123\=\kill
+　　線種　　　\>"dr, n"  , "da,m,n" , "do,m,n"\\
+　　"Num=数値" 　　 \>描画時の分割数\\
+　　"Dis=数値"　　　 \>値が指定数値以上ジャンプする場合は不連続点とみなす。\\
+　　"Exc=数値リスト \>リストで示された点は除外する。\\
+　　"Exc=関数"　　　\>関数の零点は除外する。\\
+\end{tabbing}
+　例：２次関数 $f(x)=x^2-2x$ のグラフを定義域指定なしで描く。\\
+　　　\verb|Plotdata("1","x^2-2*x","x");|\\
+　\\
+　　\input{Fig/plotdata1}
+　\\
+　\\
+　例：三角関数 $2\sin \left(2x-\dfrac{\pi}{4} \right)$ 　のグラフを，定義域 $0 \leqq x \leqq 2 \pi$で描く。\\
+　　　　\verb|Plotdata("3","2*sin(2*x-pi/4)","x=[0,2*pi]");|\\
+　\\
+　　　　\input{Fig/plotdata2}
+　\\
+　CindyScript では，plot( 式 , 定義域 ); で描くが， \ketcindy  を用いるときは，CindyScript のplot 関数のかわりに，このPlotdata を使えばよい。\\
+　軸に数字を入れるのであれば，Letter() を用いる。\\
+
+optionsの使用例\\
+　\verb|Plotdata("1","sin(x)","x");|　$f(x)=$sin$x$ のグラフを描く（デフォルト）\\
+　\verb|Plotdata("2","sin(x)+1","x",["dr,2"]);|　同じく，太さ２で描く\\
+　\verb|Plotdata("3","sin(x)+2","x",["da"]);|　 同じく，破線で描く\\
+　\verb|Plotdata("4","sin(x)+3","x",["do"]);|　 同じく，点線で描く\\
+結果は次図上から。\\
+　\\
+　　　　　\input{Fig/plotdata3}\\
+
+　Num=分割数の指定\\
+　グラフの描画は，区間を分割して関数値をとり，各点を結ぶという通常の方法によっている。Nの指定はこの分割数の指定である。デフォルトは50。思うような結果が得られない場合はこの値を大きく指定するとよい。\\
+　下図左はデフォルト，右は Num=200 とした。\\
+
+　　　　\input{Fig/plotdata4}\\
+
+　不連続点の指定\\
+　Dis オプションにより，値がジャンプする不連続点を線で結ばないようにする。Numオプションと合わせて使うと効果が上がる。\\
+
+　例：$f(x)=$tan$x$ のグラフは，そのままではあたかも漸近線が描かれたようになるが，これは，不連続点をそのまま結んでいるためである。
+\begin{verbatim}
+　Deffun("f(x)", ["regional(y)","y=tan(x)","y"]);
+　Plotdata("1","f(x)","x",["Num=200","Dis=50"]);
+\end{verbatim}
+で漸近線が描かれなくなる。\\
+
+　例：ガウス記号 [$x$] で表される関数のグラフは，不連続な階段状になる。この関数は天井関数 floor()であるので，
+\begin{verbatim}
+　Deffun("f(x)", ["regional(y)","y=floor(x)","y"]);
+　Plotdata("1","f(x)","x",["Num=100","Dis=0.9"]);
+\end{verbatim}
+できれいに描ける。\\
+
+　　　　　　　\input{Fig/plotdata5}\\
+
+　関数に文字係数がついており，文字係数の値を変化させながらグラフを描くには，Assign を使う。\\
+　\\
+　例：直線 $y=bx-b^2$ の係数$b$を変化させて描き，包絡線をうかびあがらせる。
+\begin{verbatim}
+　　　　repeat(50,t,
+ 　　　　　cb=t/5-5;
+ 　　　　　Plotdata(text(t),Assign("b*x-b\verb|^|2","b",cb),"x");\\
+　　　　);
+\end{verbatim}
+　\\
+　　　　　　\input{Fig/assign}\\
+
+\begin{flushright}　\hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright}
+
+\hypertarget{pointdata}{}
+\item[関数]　Pointdata(name , 点リスト , optionss)
+\item[機能]　点を作ってScilabに点のリスト Pointdata(list)を出力する。
+\item[説明]　点データを作成する。この点は，幾何要素ではない。プロットデータの頭部は pt\\
+　例：\verb|Pointdata("1",[[1,2],[-2,3]]);|\\
+　　　　２つの点データを作る。Cinderellaの描画面では緑の点で表示される。\\
+　　　\verb|Pointdata("1",[A,B]);|\\
+　　　　作図した点A,Bについて，点データを作る。\\
+　　　　Cinderellaの描画面上では既存の点A,Bに緑の点が重なって表示される。\\
+　　　\verb|Pointdata("1",A,["size=4"]);|\\
+　　　　Aの位置に大きさ４で点を作る。Ptsize(Setpt) の項を参照のこと。\\
+　　　\verb|Pointdata("1",[A,B],[0]);|\\
+　　　　点データを作り，TeXにオプション0（白抜き）で描く\\
+　　　\verb|Pointdata("1",[[3,4],[5,6]],["notex"]);|\\
+　　　　点データを作るが，TeXには描かない\\
+　　　\verb|Pointdata("1",[A,B],["nodisp"]);|\\
+　　　　点データを作らない．（戻り値として返す）\\
+ 
+ 　生成されるリストは，座標のリストがネストした形になっている。\\
+ 　その内容は，println()を用いてコンソールに表示することができる。たとえば
+ \begin{verbatim}
+　　　Pointdata("1",[[1,2],[3,4],[6,2]]);
+　　　println(pt1);
+\end{verbatim}
+ 　で，コンソールに次のように表示される。
+\begin{verbatim}
+　　　generate pointdata pt1 
+　　　[[[1,2]],[[3,4]],[[6,2]]] 
+\end{verbatim}
+　ネストされたリストは，Cindyscriptの flatten() 関数を利用して平滑化（ネストを解除）することにより，Listplot()で利用することができる。\\
+　\\
+　例：\verb|Ptsize(3);|\\
+　　　\verb|Pointdata("1",[[1,2],[3,4],[6,2]]);|\\
+　　　\verb|Listplot("1",flatten(pt1));|\\
+　　これで，節点を明示した折れ線が描ける。（下図左）\\
+　　　　\verb|Listplot("1",[[1,2],[3,4],[6,2]]);|\\
+　　　では線分のみが描かれる。（下図右）\\
+ 　　　\input{Fig/pointdata}\\
+\begin{flushright}　\hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright}
+
+\hypertarget{polygonplot}{}
+\item[関数]　Polygonplot(name , 点リスト , 整数,optionss)
+\item[機能]　２点を指定して正多角形を描く。
+\item[説明]　円に内接する正多角形を描き，頂点の幾何点を作る。\\
+　例：\verb|Polygonplot("1",[A,B],12);|\\
+　点Aを中心とし，半径ABの円周上に，点Bからスタートして正十二角形の頂点B1〜B11を反時計回りに作り，これを結んだ正多角形を描く。頂点は幾何点。\\
+　整数でない数を指定した場合は，きちんと閉じない折れ線が描かれる。\\
+
+
+\hypertarget{putintersect}{}
+\item[関数]　Putintersect(点名 , PD1 ,PD2,[No] )
+\item[機能]　２曲線の交点を作る
+\item[説明]　２曲線はプロットデータ名で指定する。指定した点名で交点を作る。この点は幾何点。\\
+　交点が２つ以上ある場合でも，描画範囲にそのうち１つだけが存在するなら，その点となる。描画範囲に２つ以上の交点がある場合は，それらのうちいずれかになる。このとき，コンソールに交点の座標のリストと，「Choose point number 」というガイドが表示される。引数のNoとして，その番号を指定すると，その点が採用される。\\
+　この関数で作成されるのは幾何点だけなので，\TeX の図に点として明示するためにはPointdata()で書き出す必要がある。\\
+　次の例は，３次曲線と直線の交点を３つとも取ったものである。
+\begin{verbatim}
+　　Plotdata("1","x^3-4*x","x",["Num=200"]);
+　　Plotdata("2","1/2*x+1","x");
+　　Putintersect("P","gr1","gr2",1);
+　　Putintersect("Q","gr1","gr2",2);
+　　Putintersect("R","gr1","gr2",3);
+　　Pointdata("1",[P,Q,R],["size=4"]);
+\end{verbatim}
+　\\
+ 　　　　　　　　　　\input{Fig/putintersect}\\
+ 　\\
+　 交点が存在しない場合は，「No intersect point」がコンソールに表示される。\\
+　２曲線の交点を作るのに，\hyperlink{crosspoint}{Crosspoint()} 関数を用いることもできる。\\
+\begin{flushright}　\hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright}
+
+
+\hypertarget{putpoint}{}
+\item[関数]　Putpoint(点名 , 座標１ ,座標２ )
+\item[機能]　点を作る
+\item[説明]　識別名が点名の点を，既存でなければ座標１に作る。既存ならば座標２に移動する。Texには出力されない。\\
+
+例：(1,1) に固定点Aを作る。 この点は動かすことができない。\\
+　　　\verb|Putpoint("A",[1,1]);|\\
+　　(1,1)に自由点を作る。\\
+　　　\verb|Putpoint("A",[1,1],[A.x,A.y]);|\\
+　　この点は座標２の効果により，自由点となり，ドラッグして動かすことができる。\\
+
+実際には，Cinderellaの作図ツールで点を取り，インスペクタで名前を変更すればよいわけだが，この形でとればスクリプトの可読性が増す意味がある。\\
+注）点名は半角アルファベットとする。数字や漢字でもCinderellaでは点ができるが，Scilabでエラーとなる。\\
+
+\hypertarget{putonline}{}
+\item[関数]　PutonLine(点名 , 座標１ ,座標２ )
+\item[機能]　直線上に点を作る
+\item[説明]　座標１，座標２を通る直線上に点名の点を作る。できた点は直線に対してインシデントとなる。\\
+例　点A,Bを通る直線上に点Pをとる。\\
+　　\verb|PutonSeg("P",A,P);|\\
+
+\hypertarget{putonseg}{}
+\item[関数]　PutonSeg(点名 , 座標１ ,座標２ )
+\item[機能]　線分上に点を作る
+\item[説明]　座標１，座標２を通る線分上に点名の点を作る。できた点は線分に対してインシデントとなる。\\
+例　点A,Bを通る線分上に点Pをとる。\\
+　　\verb|PutonSeg("P",A,P);|\\
+
+\begin{flushright}　\hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright}
+
+\hypertarget{reflextpoint}{}
+\item[関数]　Reflectpoint(点，対称点または対称軸)
+\item[機能]　点の鏡映を作成
+\item[説明]　点を指定された点または軸に関して対称移動する。対称軸は[ 点1, 点2 ]で指定\\
+　\\
+例：ＣはBに関してAと対称な点\\
+　　Ｄは点(2,3)に関してAと対称な点\\
+　　Eは点(1,0) に関して (-1,1) と対称な点\\
+　　Fは直線CEに関してAと対称な点\\
+\begin{verbatim}
+　　　C.xy=Reflectpoint(A,B);
+　　　D.xy=Reflectpoint(A,[[2,3]]);
+　　　E.xy=Reflectpoint([-1,1],[[1,0]]);
+　　　F.xy=Reflectpoint(A,[C,E]);
+　　　Lineplot([C,E],["do"]);
+\end{verbatim}
+　\\
+　　　　　\input{Fig/reflectpoint}\\
+\begin{flushright}　\hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright}
+
+\hypertarget{rotatepoint}{}
+\item[関数]　Rotatepoint(点 ，角度 , 中心)
+\item[機能]　点の位置を回転する
+\item[説明]　点を，中心で示された点の周りに回転する。角度は弧度法で与える\\
+\begin{spacing}{1.5}
+例：点CはAを，Ｂに関して$\dfrac{2}{3}\pi $だけ回転した点\\
+　　点Dは点(5,2)を，Ｂに関して$\dfrac{\pi}{3}$ だけ回転した点\\
+　　点Eは点(3,0)をAに関して $-\dfrac{\pi}{4} $だけ回転した点
+\end{spacing}
+\begin{verbatim}
+　　　C.xy=Rotatepoint(A,2*pi/3,B);
+　　　D.xy=Rotatepoint((5,2),pi/3,B);
+　　　E.xy=Rotatepoint([3,0],-pi/4,A);
+\end{verbatim}
+　\\
+　　　\input{Fig/rotatepoint}\\
+　\\
+%\begin{flushright}　\hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright}
+
+\hypertarget{rulerscale}{}
+\item[関数]　Rulerscale(始点 ，横軸目盛 , 縦軸目盛)
+\item[機能]　目盛を打つ
+\item[説明]　始点の位置を縦横の起点として目盛りを打つ。\\
+　目盛はリストで与える。\\
+　["r",a,b,c]　の形式では，aからbまでc間隔で目盛を打つ。\\
+　["f",n1,"str",n2,"str",・・] の形式では，nと"str"がセットで，nの位置に"str"を書く。ただし，位置はCinderellaの描画面の原点を0とする。\\
+　Framedata() または Framedata2() とともに用いると矩形に目盛を打つことができる。\\
+　\\
+例：Aを原点に置いた矩形枠を描き，横に0,1,2,3,4,5，縦に d1，d2 の目盛を打つ。
+\begin{verbatim}
+　　Framedata2("1",[A,B]);
+　　Rulerscale(A,["r",0,5,1],["f",1,"d1",3,"d2"]);
+\end{verbatim}　
+　　　\input{Fig/ruler}\\
+　\\
+
+\hypertarget{scalepoint}{}
+\item[関数]　Scalepoint(点，比率ベクトル，中心)
+\item[機能]　点の位置を拡大・縮小する
+\item[説明]　点を，指定された中心を原点とする座標系で，比率ベクトルの分だけ拡大・縮小した位置に置く。\\
+
+例：点Cを，点Aを原点中心に横に３倍，縦に２倍した位置に置く。\\
+　　点Dを，点Aを点B中心に横に３倍，縦に２倍した位置に置く。\\
+　　点Fを，点Aを原点中心にベクトル$\overrightarrow{OE} $で示された比率の位置に置く。
+\begin{verbatim}
+　　　C.xy=Scalepoint(A,[3,2],[0,0]);
+　　　D.xy=Scalepoint(A,[3,2],B);
+　　　F.xy=Scalepoint(A,E.xy,[0,0]);
+\end{verbatim}
+　　　　　\input{Fig/scalepoint}\\
+　\\
+
+\begin{flushright}　\hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright}
+
+\hypertarget{translatepoint}{}
+\item[関数]　Translatepoint(点 , 移動ベクトル)
+\item[機能]　点を平行移動する
+\item[説明]　点を移動ベクトルで示された分だけ平行移動する。\\
+\\
+例：点Cは点Aを$x$軸方向に2 , $y$軸方向に３だけ平行移動した点\\
+　　点Dは点Aをベクトル$\overrightarrow{OB} $だけ平行移動した点
+\begin{verbatim}
+　　　C.xy=Translatepoint(A,[2,3]);
+　　　D.xy=Translatepoint(A,B.xy);
+\end{verbatim}
+　\\
+　　　　　\input{Fig/translatepoint}
+\end{description}
+　\\
+
+\begin{flushright}　\hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright}
+\newpage
+%　＝＝プロットデータの操作＝＝＝＝＝＝＝＝＝＝＝＝＝＝＝＝＝＝＝
+\subsection{プロットデータの操作}
+
+%　描画関数で作成されたプロットデータを用いて描画をおこなう。なお，本節では，該当する図形のことを「プロットデータ」と表記する場合がある。\\
+
+\begin{description}
+
+\hypertarget{changestyple}{}
+\item[関数]　Changestyle(PDリスト, optionss)
+\item[機能]　描画オプションを変更する
+\item[説明]　複数の図形の描画オプションを一括して変更する。\\
+
+例：線分AB，円ABの線を破線にして\TeX に書き出さないようにする。\\
+　　\verb|Changestyle(["sgAB","crAB"],["da","notex"]);|\\
+　\\
+
+\hypertarget{enclosing}{}
+\item[関数]　Enclosing(name , PDリスト , [位置，方向，数式])
+\item[機能]　複数の曲線から閉曲線を描く。
+\item[説明]　引数の位置，方向，数式は，複数点の情報を[ ]内にまとめて
+記入できる。以下は一例。
+\begin{verbatim}
+　　Circledata([A,B],["do"]);
+　　Scaledata("1","crAB",1.5,1/1.5,["do"]);
+　　Scaledata("2","crAB",1/1.5,1.5,["do"]);
+　　Tmp1=Intersectcrvs(sc2,crAB);
+　　Putpoint("C",Tmp1\_1);
+　　Enclosing("1",["sc2","crAB","sc2","Invert(sc1)"],[C]);
+　　Hatchdata("1","i",[["en1"]],["dr,0.5"]);
+\end{verbatim}
+　　　　　　　　　\input{Fig/enclosing}
+
+\begin{flushright}　\hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright}
+　\\
+
+\hypertarget{addgraph}{}
+\item[関数]　AddGraph(name ,プロットデータのリスト,option)
+\item[機能]　複数のプロットデータをまとめる
+\item[説明]　複数のプロットデータをまとめて扱う。たとえば，円と，円周上の点の２つのプロットデータをまとめて扱えば，スライダを用いたり動画にするときに，個々に移動や回転をしなくてすむ。Joincrvs()では，プロットデータをつなげて１つのプロットデータにするが，AddGraph()では，プロットデータをリスト化して扱うという違いがある。\\
+　プロットデータのリストは，プロットデータ名を文字列化して渡す。たとえば，円のプロットデータが cr1 のとき，"cr1" とする。\\
+　\\
+例：サイクロイドの図を描く。
+\begin{verbatim}
+　　Setpt(3);
+　　Circledata("1",[[0,1],[0,0]]);
+　　Pointdata("1",[0,0]);
+　　AddGraph("1",["[pt1]","cr1"],["nodisp"]);
+　　nn=32;
+　　forall(1..nn,
+  　　t=2*pi/nn*#;
+  　　Rotatedata(text(#),"ad1",-t,[[0,1],"nodisp"]);
+  　　Translatedata(text(#),"rt"+text(#),[t,0],["dr,0.3"]);
+　　);
+\end{verbatim}
+
+\begin{center}
+\input{Fig/addgraph}
+\end{center}
+　ここで，AddGraph()の引数で与えるプロットデータのリストで，点のプロットデータ pt1 を"[pt1]" としていることに注意。円のプロットデータが，点の座標のリストであるのに対し，点のプロットデータは一つの座標だけなので，このようにしてリスト化して渡す。\\
+　\\
+\begin{flushright}　\hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright}
+　\\
+
+\hypertarget{hatchdata}{}
+\item[関数]　Hatchdata(name , 方向リスト , プロットデータ , optionss)
+\item[機能]　閉曲線の内部に斜線を引く。
+\item[説明]　引数は，曲線名，内部外部のパターンを与える''i''，''o''の文字列，閉曲線を与える曲線分と領域の内部を定める方向のリストとオプション。\\
+　Scilabでハッチデータを作成して読み込む。同じ名前のハッチデータがすでにある場合，"m"をつけるとハッチデータを強制的に更新することができる。\\
+　\\
+例：円の内部。(下図左)
+\begin{verbatim}
+　　Circledata([A,B],["dr"]);
+　　Hatchdata("1",["i"],[["crAB"]],["dr,0.7","out"]);
+\end{verbatim}
+
+例：３つの閉曲線の内側・外側のパターンが同一である領域（下図右）
+\begin{verbatim}
+　　Circledata([A,B],["dr"]);
+　　Paramplot("1","[4*cos(t),2*sin(t)]","t=[0,2*pi]");
+　　Paramplot("2","[2*cos(t),4*sin(t)]","t=[0,2*pi]");
+　　Hatchdata("1",["ioi"],[["crAB"],["gp1"],["gp2"]],["dr,0.7","out"]);
+　　Hatchdata("2",["iio"],[["crAB"],["gp1"],["gp2"]],["dr,0.7","out"]);
+\end{verbatim}
+　\\
+　　\input{Fig/hatch1} 　　\input{Fig/hatch2}
+\newpage
+
+例：複数のパターンに分かれた領域。
+\begin{verbatim}
+　　Plotdata("1","2*sin(x)","x=[-pi,3*pi]",["Num=100"]);
+　　Listplot([A,B]);
+　　Listplot([A,C]);
+　　io="out";
+　　Hatchdata("1",["ii"],[["sAB","n"],["gr1","s"]],["dr,0.7",io]);
+　　Hatchdata("2",["ii"],[["sAC","s"],["gr1","n"]],["dr,0.7",io]);
+\end{verbatim}
+\begin{center}
+\input{Fig/hatch3}
+\end{center}
+
+複数領域の斜線塗の場合，それらの領域をまとめて出力するか，
+まとめてCinderellaに読み込む場合が多く，そのような場合には
+4行目のような指定の仕方もある。\\
+
+例：描画範囲とあわせて閉領域となる場合。
+\begin{verbatim}
+　　Plotdata("1","2*sin(x)","x=[-pi,3*pi]",["Num=100"])
+　　Listplot([A,B]);
+　　Listplot([A,C]);
+　　Hatchdata("1",["iio"],[["sAB","s"],["sAC","n"],["gr1","[0,2]"]],
+　　　　　　　　　　　　　　　　　　　　　["dr,0.7","out"]);
+\end{verbatim}
+\begin{center}
+\input{Fig/hatch4}
+\end{center}
+
+\newpage
+
+例：接線で囲まれた領域の場合。
+\begin{verbatim}
+　　Deffun("f(x)",["regional(y)","y=x＾2*(x-3)","y"]);
+　　Plotdata("1","f(x)","x");
+　　PutonCurve("A",gr1,-1);
+　　coef=Derivative("f(x)","x","A.x");
+　　Defvar("DC=coef");
+　　Deffun("g(x)",["regional(y)","y=DC*(x-A.x)+A.y","y"]);
+　　Plotdata("2","g(x)","x");
+　　Tmp=Intersectcrvs(gr1,gr2);
+　　Partcrv("1",A,Tmp＿3,"gr1");
+　　Partcrv("2",A,Tmp＿3,"gr2");
+　　Hatchdata("1",["ii"],[["part1","n"],["part2","s"]],["dr,0.7","out"]);
+\end{verbatim}
+\begin{center}
+\input{Fig/hatch5}
+\end{center}
+　\\
+斜線の向きや間隔を変えることもできる。\\
+
+\noindent
+%￥Ltab{10mm}{文}
+例：円の内部または円と直線で区切られた図形\\
+\verb|Circledata([A,B]);|　で円データの名前が crABとなる。これを用いて\\
+\verb|Hatchdata("1",["i"],[["crAB"]]);|
+円内に傾き$45^{\circ}$の斜線を引く（下図ha1）\\
+\verb|Hatchdata("2",["i"],[["crAB"]],[-40,2]);| 傾き$-40^{\circ}$，間隔を2倍に（ha2）\\
+　　　　　　　　　　　　　　　　　　　　　（間隔は実数で指定できる）\\
+\verb|Hatchdata("3",["i"],[["crAB"]],["dr,0.5"]);|　線の太さを0.5倍に（ha3）\\
+\verb|Hatchdata("4",["i"],[["crAB"]],[-45,2,"dr,0.5"]);|　（ha4）\\
+
+　　\input{Fig/HatchZuKita1.tex}　\input{Fig/HatchZuKita2.tex}\\
+　　　　　　　図ha1　　　　　　　　　　　図ha2\\
+　　\input{Fig/HatchZuKita3.tex}　\input{Fig/HatchZuKita4.tex}\\
+　　　　　　　図ha3　　　　　　　　　　　図ha4\\
+　\\
+
+この円に直線を加え領域を分ける。\\
+　\verb|Lineplot("1",[A,B]);|　 直線データの名前は ln1\\
+　\verb|Lineplot("2",[A,C]);|　直線データの名前は ln2\\
+円の内部で右上（ln1とln2の北側）（下図ha5）\\
+　\verb|Hatchdata("5",["iii"],[["crAB"],["ln1","n"],["ln2","n"]]);|\\
+円の内部で右上と左下（下図ha6）\\
+\verb|Hatchdata("6",["iii","ioo"],[["crAB"],["ln1","n"],["ln2","n"]]);|\\
+
+　　\input{Fig/HatchZuKita5.tex}　\input{Fig/HatchZuKita6.tex}\\
+　　　　　　　図ha5　　　　　　　　　　図ha6\\
+　\\
+円データcrABを作るが描かなければ境界線が含まれない。（下図ha7）\\
+　\verb|Circledata([A,B],["notex"]);|\\
+　\verb|Hatchdata("7",["i"],[["crAB"]]);|\\
+境界線を破線で描くと開集合のようになる（下図ha8）\\
+　\verb|Circledata([A,B],["da"]);|\\
+　\verb|Hatchdata("8",["i"],[["crAB"]]);|\\
+
+　　\input{Fig/HatchZuKita7.tex}　\input{Fig/HatchZuKita8.tex}\\
+　　　　　　　図ha7　　　　　　　　　 図ha8\\
+
+問題：次図のように上と下で斜線の描き分けをするには？　　　答は図の後に\\
+
+　　　　　　　　　\input{Fig/HatchZuKita9.tex}\\
+　\\
+問題の答：次のように2つのデータを作り両方描く
+\begin{verbatim}
+　　Hatchdata("9a",["iii"],[["crAB"],["ln1","n"],["ln2","n"]]);
+　　Hatchdata("9b",["ioo"],[["crAB"],["ln1","n"],["ln2","n"]],[90,2]);
+\end{verbatim}
+　　　　（この答は図ha7と図ha8との関係と同じ）　
+　\\
+\hypertarget{dotfilldata}{}
+\item[関数]　Dotfilldata(name , 方向リスト , プロットデータ , optionss)
+\item[機能]　領域を点で敷き詰める。
+\item[説明]　Scilabとデータの授受をおこなって描画する。書式はHatchdata()と同じ\\
+\begin{flushright}　\hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright}
+　\\
+
+\hypertarget{joincrvs}{}
+\item[関数]　Joincrvs(name, プロットデータのリスト, options) 
+\item[機能]　隣接する曲線プロットデータ のリストを繋いで1本の曲線を作る。
+\item[説明]　曲線のリストは隣接する順番で指定する。プロットデータ名の頭部はjoin。\\
+optionsは線種　　　"dr, n"  , "da,m,n" , "do,m,n"\\
+　\\
+例：線分$y=x\ (-\sqrt{2} \leqq x \leqq \sqrt{2})$と半円を繋いで得られる閉曲線を描く。\\
+\begin{verbatim}
+　　Plotdata("1","x","x=[-sqrt(2),sqrt(2)]");
+　　Putpoint("B",[sqrt(2),sqrt(2)]);
+　　Circledata("2",[A,B],["Rng=[pi/4,pi/4*5]"]);
+　　Joincrvs("3",["gr1","cr2"]);
+\end{verbatim}
+　\\
+　　　　　　　　\input{Fig/joincrvs.tex}
+
+\begin{flushright}　\hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright}
+　\\
+\hypertarget{partcrv}{}
+\item[関数]　Partcrv(name, A, B, プロットデータ, options) 
+\item[機能]　曲線プロットデータ上の点A, B の間の部分曲線を描く。
+\item[説明]　プロットデータ名の頭部はpart。\\
+optionsは線種　　　"dr, n"  , "da,m,n" , "do,m,n"\\
+
+例1：2点A, Bの順序と曲線の向きによって部分曲線が決まる。
+曲線の向きは，$y=f(x)$のグラフではx座標が増加する向き。ここで，PDname="gr1"のように""で囲むことが必要。\\
+    \verb|Plotdata("1", "x^2", "x", ["do"]);|　（放物線の名前はgr1）\\
+    \verb|Partcrv("1", [0,0], [1,1], "gr1");|　（部分曲線の名前はpart1）\\
+    \verb|Partcrv("2", [1,1], [0,0], "gr1");|　（部分曲線の名前はpart2）\\
+
+\begin{minipage}{35mm}
+\begin{center}
+\input{Fig/partcrv1}\\
+part1 の図
+\end{center}
+\end{minipage}
+\hspace{10mm}
+\begin{minipage}{35mm}
+\begin{center}
+\input{Fig/partcrv2}\\
+part2 の図
+\end{center}
+\end{minipage}
+\vspace{5mm}
+
+例2：閉曲線の例．パラメータ表示曲線はパラメータの増える向きをもつ。
+\begin{verbatim}
+　    Circledata([A,B], ["do"]);
+   　 Plotdata("1", "x^2", "x", ["do"]);
+    　tmp=Intersectcrvs(crAB, gr1);
+    　P.xy=tmp_1;
+    　Q.xy=tmp_2;
+    　Partcrv("1", P, Q, "crAB");
+    　Partcrv("2", Q, P, "crAB");
+\end{verbatim}
+\vspace{5mm}
+
+\begin{minipage}{45mm}
+\begin{center}
+\input{Fig/partcrv3}\\
+part1 の図
+\end{center}
+\end{minipage}
+\hspace{10mm}
+\begin{minipage}{45mm}
+\begin{center}
+\input{Fig/partcrv4}\\
+part2 の図
+\end{center}
+\end{minipage}
+\\
+\\
+
+例3：放物線$y=x^2$が円で切り取られる部分を描く。
+\begin{verbatim}
+　　Circledata([A,B]);
+　　Deffun("f(x)",["regional(y)","y=x^2","y"]);
+　　Plotdata("1","f(x)","x",["do"]);
+　　tmp3=Intersectcrvs("crAB","gr1");
+　　Partcrv("2",tmp3_2,tmp3_1,"gr1",["dr,2"]);
+\end{verbatim}
+\input{Fig/partcrv}
+
+\begin{flushright}　\hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright}
+
+
+\hypertarget{putoncurve}{}
+\item[関数]　PutonCurve(点の名前, プロットデータ, options)
+\item[機能]　曲線上に点を乗せる。
+\item[説明]　点が存在しない場合は新たに作る。すでにその点が存在する場合は，その点の$x$座標を使う。初期値の$x$座標のデフォルトは 0。\\
+optionsは[$x$座標の範囲]。\\
+
+例：アステロイド上の動点P をとる。
+\begin{verbatim}
+　　Deffun("fx(t)", ["local(x)","x=2*cos(t)^3","x"]);
+　　Deffun("fy(t)", ["local(y)","y=2*sin(t)^3","y"]);
+\end{verbatim}
+で関数を定義し，\\
+　　\verb|Paramplot("1","[fx(t),fy(t)]","t=[0,2*pi]");|\\
+でアステロイドを表示する。プロットデータは gp1 となる。\\
+そこで\\
+　　\verb|PutonCurve("P","gp1",[-1,1]); |\\
+で$x$座標が $-1$ である点Pがアステロイド上にでき，この点はドラッグするとアステロイド上を $-1 \leqq x\leqq 1$ の範囲で動かすことができる。\\
+
+　　　　　　　　\input{Fig/putoncurve.tex}
+
+なお\\
+　　\verb|fx(t):=2*cos(t)^3;|\\
+で関数を定義すると Scilab に関数定義情報が渡されないので\\
+　　\verb|Deffun("fx(t)", ["local(x)","x=2*cos(t)^3","x"]);|\\
+で f(x) を定義する必要がある。
+　\\
+　\\
+\begin{flushright}　\hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright}
+
+\hypertarget{reflextdata}{}
+\item[関数]　Reflectdata(name , プロットデータ , 対称点または対称軸,options)
+\item[機能]　プロットデータの鏡映を作成
+\item[説明]　プロットデータを指定された点または軸に関して対称移動する。\\
+　対称点は座標または，点の識別名。ただし，対称点を座標で示すときは要素がひとつのリストにする。\\
+　対称軸はリスト[ 点1, 点2 ]　で指定\\
+　optionsは線種\\
+\\
+例：中心A , 半径ABの円を描き，そのプロットデータを用いて，\\
+　　点Cに関して対称な円を\\
+　　　点(-1,2)に関して対称な円を太い実線で\\
+　　　直線DEに関して対称な円を破線で\\
+　　それぞれ描く。\\
+　　作成されるプロットデータの名称を rf1 ,rf2 ,rf3 とする。
+\begin{verbatim}
+　　　Circledata([A,B]);\\
+　　　Reflectdata("1","crAB",[C]);\\
+　　　Reflectdata("2","crAB",[[-1,2]],["dr,2"]);\\
+　　　Reflectdata("3","crAB",[D,E],["da"]);\\
+\end{verbatim}
+　\\
+　　　\input{Fig/reflectdata}
+
+\begin{flushright}　\hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright}
+
+\hypertarget{rotatedata}{}
+\item[関数]　Rotatedata(name , プロットデータ ，角度 , [中心 , options])
+\item[機能]　プロットデータの位置を回転する
+\item[説明]　図形を，中心で示された点の周りに回転する。角度は弧度法で与える\\
+　中心とoptionsはまとめてリストで与える。optionsは線種\\
+
+\begin{spacing}{1.5}
+例：中心A , 半径ABの円のプロットデータを描き，\\
+　　　点Cを中心に$\dfrac{\pi}{2} $だけ回転した円\\
+　　　点(1,5)を中心に$\dfrac{\pi}{3}$ だけ回転し，線を太くした円\\
+　　　点Dを中心に $-\dfrac{\pi}{3} $だけ回転し，破線にした円\\
+　　をそれぞれ描く。\\
+　　作成されるプロットデータの名称を rt1 ,rt2 ,rt3 とする。
+\end{spacing}
+\begin{verbatim}
+　　　Circledata([A,B]);\\
+　　　Rotatedata("1","crAB",pi/2,[C]);\\
+　　　Rotatedata("2","crAB",pi/3,[[1,5],"dr,2"]);\\
+　　　Rotatedata("3","crAB",-pi/3,[D,"da"]);\\
+\end{verbatim}
+　\\
+　　　　　　\input{Fig/rotatedata}
+
+\begin{flushright}　\hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright}
+
+\hypertarget{scaledata}{}
+\item[関数]　Scaledata(name , プロットデータ，x方向比率 , y方向比率 , [中心 , options])
+\item[機能]　図形の位置を拡大・縮小する
+\item[説明]　図形の位置をプロットデータを用いて指定された比率で拡大・縮小する\\
+　中心とoptionsはまとめてリストで与える。optionsは線種\\
+
+例：中心A,半径ABの円を描いておく。プロットデータ名は crABとなる。\\
+　　この円を\\
+　　　原点中心に$x$軸方向に３，$y$軸方向に２だけ平行移動する。\\
+　　　Ｃを中心に$x$軸方向に３，$y$軸方向に２だけ平行移動し，実線で太く描く。\\
+　　　原点中心にベクトル$\overrightarrow{OD} $だけ平行移動し，破線で描く。
+\begin{verbatim}
+　　　Circledata([A,B]);
+　　　Scaledata("1","crAB",3,2,[[0,0]]);
+　　　Scaledata("2","crAB",3,2,[C,"dr,2"]);
+　　　Scaledata("3","crAB",D.x,D.y,[[0,0],"da"]);
+\end{verbatim}
+　　　　　　　\input{Fig/scaledata}\\
+　\\
+%\begin{flushright}　\hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright}
+\hypertarget{shade}{}
+\item[関数]　Shade(プロットデータのリスト , optionss)
+\item[機能]　閉曲線で囲まれた領域を塗りつぶす。
+\item[説明]　第１引数には，閉曲線を与える曲線分のリストを並べる。\\
+　optionssは，Cinderellaの画面上での描画色，濃さをリストで与える。\\
+
+例：$y=2\sin x$のグラフと直線$y=1$（直線ABの一部）とで囲まれた部分に0.5の濃さで色を塗る。
+\begin{verbatim}
+　　Setax([7,"nw"]);
+　　Plotdata("1","2*sin(x)","x",["Num=100"]);
+　　Plotdata("2","2*sin(x)","x=[5*pi/6,13*pi/6]",["Num=100"]);
+　　Lineplot("1",[[0,1],[1,1]]);
+　　Listplot("1",[[5*pi/6,1],[13*pi/6,1]]);
+　　Shade(["gr2","sg1"],[0.5]);
+\end{verbatim}
+\begin{center}
+\input{Fig/shade}
+\end{center}
+
+例：２つの放物線で囲まれた部分に0.2の濃さで色を塗る。Cinderellaの画面では赤で少し薄く塗る。
+\begin{verbatim}
+　　Plotdata("1","x^2-1","x=[-sqrt(2),sqrt(2)]",["Num=100"]);
+　　Plotdata("2","x^2/2","x=[-sqrt(2),sqrt(2)]",["Num=100"]);
+　　Shade(["gr2","gr1"],[0.2,"color->[1,0,0]","alpha->0.4"]);
+\end{verbatim}
+\begin{center}
+\input{Fig/shade01}
+\end{center}
+
+
+\begin{flushright}　\hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright}
+\newpage
+\hypertarget{translatedata}{}
+\item[関数]　Translatedata(name , プロットデータ , 移動ベクトル , options)
+\item[機能]　プロットデータを平行移動する
+\item[説明]　プロットデータを移動ベクトルで示された分だけ平行移動する。\\
+　nameはこれによってつくるプロットデータの名称を設定。単なる番号は不可。\\
+　optionsは線種\\
+\\
+例：中心A,半径ABの円を描いておく。プロットデータ名は crABとなる。\\
+　　この円を\\
+　　x軸方向に２，y軸方向に３だけ平行移動する。\\
+　　ベクトル$\overrightarrow{OC} $だけ平行移動し，実線で太く描く。\\
+　　ベクトル$\overrightarrow{OD} $だけ平行移動し，破線で描く。\\
+　　作成されるプロットデータの名称を tr1 , tr2 , tr3 とする。
+\begin{verbatim}
+　　Circledata([A,B]);
+　　Translatedata("tr1","crAB",[2,3]);
+　　Translatedata("tr2","crAB",C,["dr,2"]);
+　　Translatedata("tr3","crAB",D,["da"]);
+\end{verbatim}
+　\\
+　　　　　　　\input{Fig/translatedata}
+
+\end{description}
+
+\begin{flushright}　\hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright}
+\newpage
+% ===============================
+\subsection{微積分など}
+
+\begin{description}
+
+\hypertarget{derivative}{}
+\item[関数]　Derivative(関数式 , 変数 , 値)
+\item[機能]　関数の微分係数を求める
+\item[説明]　関数式で与えられた関数の，「変数＝値」における微分係数を求める。\\
+値は，点の座標を用いることができる。点Aのx座標であれば， A.x とする。\\
+
+例：3次曲線上の点Aで接線を引く。点A,Bは作図ツールでとっておく。
+\begin{verbatim}
+　　Deffun("f(x)",["regional(y)","y=x^3-4*x","y"]);
+　　coef=Derivative("f(x)","x",A.x);
+　　A.y=f(A.x);
+　　B.y=coef*(B.x-A.x)+A.y;
+　　Plotdata("1","f(x)","x",["Num=200"]);
+　　Lineplot([A,B]);
+　　Letter([A,"ne","A"]);
+\end{verbatim}
+　\\
+　　\input{Fig/derivative}\\
+　\\
+\begin{flushright}　\hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright}
+
+\hypertarget{integrate}{}
+\item[関数]　integrate(関数式 , 変数 , 範囲 , options)
+\item[関数]　integrate(PD , 範囲 , options)
+\item[機能]　関数式またはプロットデータで与えられた曲線の積分値を求める
+\item[説明]　関数式またはプロットデータで与えられた曲線の，指定された範囲の定積分の値を求める。\\
+関数を与えたときのoptionsは次の通り。\\
+　"Rule=s"　　：　シンプソン法による。デフォルトは台形公式。\\
+　　　　　　　　　"R=s"と略記できる。\\
+　"Num=数値"　：　分割数の指定。初期値は 100 \\
+　一般にはシンプソン法の方が精度がよいが，そうではない場合もある。\\
+　\\
+例：$f(x)=x^3-2x^2+2$ について，0から3までの定積分の値を求める。\\
+　CindyScriptでは，guess()関数を用いると，可能な場合は値を分数表記にする。
+\begin{verbatim}
+　　f(x):=x^3-2*x^2+2;
+　　println(guess(Integrate("f(x)","x",[0,3],["Num=200"])));
+　　println(guess(Integrate("f(x)","x",[0,3],["Num=5","Rule=s"])));
+\end{verbatim}
+を実行すると，コンソールに結果が表示される。シンプソン法では 33/4 と表示される。
+整関数の場合，シンプソン法では分割数がかなり少なくても高い精度が得られる。\\
+整関数でない場合，分割数を区間幅の10の整数倍にするとよい精度になる。\\
+たとえば，$f(x)=\sqrt{x} $の場合，区間が [2,9] であれば，Num=100 よりも Num=70 の方が精度がよい。\\
+　\\
+　プロットデータを与えたときは，アルゴリズムが異なるので上記オプションは無効。\\
+例：上の例と同じ関数をプロットデータで指定する。
+\begin{verbatim}
+　　plotdata("1","x^3-2*x^2+2","x");
+　　println(Integrate("gr1",[0,3]));
+\end{verbatim}
+　\\
+　プロットデータで与える方法は，Rを利用して正規分布曲線を描いたときなどに記述が楽になる。\hyperlink{plotdatar}{PlotdataR()} の項を参照のこと。\\
+　\\
+
+\begin{flushright}　\hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright}
+\newpage
+\hypertarget{invesefun}{}
+\item[関数]　Inversefun(関数 , 範囲 , 値)
+\item[機能]　関数の逆関数値を求める
+\item[説明]　関数は文字列で，関数式もしくは定義された関数名とする。\\
+　指定された範囲の中で逆関数値を求める。存在しない場合は一方の端点を戻り値とし，コンソールに「not found」と表示される。\\
+　数式処理ではなく数値探索のアルゴリズムを使っているので，単調関数でない場合は範囲をできるだけ狭くとるとよい。値が複数ある場合は，小さいほうが返される。\\
+
+例：\verb|x=Inversefun("sin(x)","x=[0,pi/2]",0.5);|\\
+　　実行すると $x=\dfrac{\pi}{6}$ となる。
+\begin{verbatim}
+　　　Deffun("f(x)", ["regional(y)","y=sin(x)","y"]);
+　　　x=Inversefun("f(x)","x=[0,pi/2]",0.5);
+\end{verbatim}
+　　でも同じ結果が返される。\\
+　　　\verb|x=Inversefun("f(x)","x=[pi/3,pi]",0.97);|\\
+　　は区間設定が不適切で正しい結果が得られない。\\
+　\\
+例：アステロイド上に点Pをとり，Pの$x$座標から，逆関数値$t$を求めて接線を引く。\\
+　　できた点Pはドラッグしてアステロイド上を動かすことができる。
+\begin{verbatim}
+　　　Deffun("fx(t)", ["regional(x)","x=2*cos(t)^3","x"]);
+　　　Deffun("fy(t)", ["regional(y)","y=2*sin(t)^3","y"]);
+　　　Paramplot("1","[fx(t),fy(t)]","t=[0,2*pi]");
+　　　PutonCurve("P",gp1,1);
+　　　if(P.y>=0,range="t=[0,pi]",range="t=[pi,2*pi]");
+　　　t0=Inversefun("fx(t)",range,P.x);
+　　　dx=Derivative("fx(t)","t",t0);　dy=Derivative("fy(t)","t",t0);
+　　　Putpoint("Q",[0,0],P.xy+[dx,dy]);
+　　　Lineplot([P,Q]);
+　　　Drawpoint(P);
+　　　Letter(P,"ne","P");
+\end{verbatim}
+　　　　　　　　　　　　\input{Fig/inversefun}
+
+\end{description}
+\newpage
+%===================================
+\subsection{作表}
+
+\begin{description}
+
+\hypertarget{tabledata}{}
+\item[関数]　Tabledata(name , 縦横データ, 除外線 , options)
+\item[機能]　表の枠を作成し，表のデータlist を返す
+\item[説明]　Cinderellaの描画面上に左下を原点とする表を作成する。\\
+　他の関数との引数の整合性，\ketpic のコマンドとの整合性などから，先頭にnameの引数をつけるが，実際にはあまり利用しないので，空文字""でもよい。\\
+　optionsは線種と"notex"など。\\
+　縦横データには，次の２通りの書式がある。\\
+　\\
+(1) 横のセル数 , 縦のセル数 , 表の横幅 , 表の縦幅　を指定する。\\
+　例：　\verb|Tabledata("",4,5,80,50,[]);|\\
+(2) 横と縦の幅を指定したリストを使う\\
+　例：　\verb|Yoko=[20,20,20,20];|\\
+　　　　\verb|Tate=[10,10,10,10,10];|\\
+　　　　\verb|Tabledata("",Yoko,Tate,[]);|\\
+　上の２つのスクリプトは同じ表を作成する。幅はCinderellaの描画面の0.1を単位とする。\\
+　作成された表には，行，列の制御点がつく。画面上では，横罫線の番号 r0,r1,・・・　縦罫線の番号 c1,c2,・・・と見ることもできる。また，縦幅，横幅が数字で示される。ただし，これらは\TeX には出力されない。\\
+　また，作表はCinderellaの描画面上では座標平面上に置かれるが，\TeX への出力は座標平面上には置かないことが多いので，座標軸は非表示としている。\\
+
+\includegraphics[bb=0 0 807 499 , width=6cm]{Fig/table01.png}　→　
+\input{Fig/table02}\\
+
+　表のサイズ，行幅，列幅は，作成後にそれぞれの制御点をドラッグすることにより任意に変えることができる。\\
+
+　除外線は，除外するセルの罫線を，rとc で位置指定する。\\
+　　横罫線の場合，横罫線の番号，範囲（から，まで）\\
+　　縦罫線の場合，縦罫線の番号，範囲（から，まで）\\
+とする。\\
+
+　例：\verb|Rmv=["r1c0c1","c3r0r1","c3r3r5","r4c2c4"];|\\
+　　　\verb|Tabledata("",4,5,80,50,Rmv);|\\
+　で，次の表ができる。\\
+　\\
+　　　　　\includegraphics[bb=0 0 784 503 , width=6cm]{Fig/table03.png}\\
+　除外する罫線がない場合は，空リストとする。\\
+
+　例：\verb|Tabledata("",Yoko,Tate,[]);|\\
+\\
+　Tabledata()関数は，制御点r0,r1,・・・,c0,c1,・・・　がなければ新しく作り，すでに存在する場合はそのままとする。したがって，一度表を作成したのち，行数・列数を修正して作り直す場合は，一度既存の点を消去する必要がある。そのためには，「すべての点を選択する」ツールをクリックして点を消去するのがよい。クリックすると，消去後すぐに新規作成される。\\
+　すでに他の点を描画してしまった場合は，表示メニューの「式による表示」で一覧表を出して，制御点を選択して消去する。\\
+　ただし，行数，列数が多すぎた場合は，必ずしも作り直す必要はない。Settable() 関数により，実際に書き出す表の範囲を指定できるからである。\\
+
+　なお，表を作成したときは，表の範囲が出力範囲として優先される（Tabledata()を実行したとき）ので，表外に図を描いた場合は，最後にこの関数で出力範囲を指定して書き出す。\\
+
+\begin{flushright}　\hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright}
+
+\hypertarget{tabledatalight}{}
+\item[関数]　Tabledatalight(name , 縦横データ, 除外線 , options)
+\item[機能]　幾何点を持たない表の枠を作成し，表のデータlist を返す
+\item[説明]　Tabledata()がCinderellaの幾何点を生成するのに対し，こちらは幾何点を生成しない。\\
+　幾何点を作成しないメリットは，スクリプトだけで縦横幅を変更できること。デメリットはインタラクティブな微調整ができないこと。\\
+　optionとして，ラベルのスキップ値（スキップするところは表示されない）を指定することができる。ただし，ラベルはCinderellaの画面上だけの問題。\\
+　\\
+　例： \verb|Yoko=[20,20,20,20];|\\
+　　　\verb|Tate=[10,10,10,10,10];|\\
+　　　\verb|Tabledatalight("",Yoko,Tate,[],[2]);|\\
+　とすると，r1,r3,c1,c2 が非表示となる。\\
+
+
+\begin{flushright}　\hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright}
+
+\hypertarget{tableseg}{}
+\item[関数]　Tableseg( 罫線リスト, 線種)
+\item[機能]　罫線の線種を指定する
+\item[説明]　罫線リストを与えて線種を指定する\\
+　罫線リストは，["r1c0c1","r4c2c4"]　のように与える。\\
+　破線・点線にする場合は，Tabledata()であらかじめ除外しておく。\\
+
+　例： \verb|Rmv=["r1c0c1","c3r0r1","c3r3r5","r4c2c4"];|\\
+　　　\verb|Tabledata("",4,5,80,50,Rmv);|\\
+　　　\verb|Tableseg(["r1c0c1","r4c2c4"],["da"]);|\\
+
+　　　　　\input{Fig/tableseg}\\
+
+　注）R0,C0,・・は実際には表示されない\\
+　\\
+\hypertarget{changetablestyle}{}
+\item[関数]　ChangeTablestyle(罫線リスト, 変更オプション)
+\item[機能]　Table の罫線の描画オプションを変更
+\item[説明]　罫線を部分的に指定して描画オプションを変更できる。\\
+　\\
+例：\verb|ChangeTablestyle(["r0c0c3"],["da"]);| 
+　\\
+　\\
+\hypertarget{findcell}{}
+\item[関数]　Findcell(列番号, 行番号)
+\item[機能]　セルの情報list（中心，横幅／２，縦幅／２）を返す
+\item[説明]　列番号，行番号は左上のセルを１列１行として数える。　\\
+
+例：\verb|Tabledata(4,5,80,50,[]);|\\
+　　\verb|println(Findcell(tb,2,1));|\\
+　　とすると，２列１行のセルの中心の座標と横幅の半分，縦幅の半分の値がリストとしてコンソールに表示される。結果は [[3,4.5],1,0.5]\\ 
+
+\begin{flushright}　\hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright}
+
+\hypertarget{putcell}{}
+\item[関数]　Putcell (列番号, 行番号, 位置, 文字データ)
+\item[機能]　セルに文字列を入れる
+\item[説明]　複数のセルにまたぐ位置指定の場合，列番号，行番号は，セル左上と右下の制御点の名称で指定する。\\
+　位置は　c, r, l, t, b （中央center , 右right , 左left , 上top , 下bottom   ）\\
+　位置の例を以下に示す。
+\begin{verbatim}
+　　Tabledata("",5,2,100,40,["c1r1r2","c4r1r2"]);
+　　Putcell(1,1,"c","A");
+　　Putcell(2,1,"r","B");
+　　Putcell(3,1,"l","C");
+　　Putcell(4,1,"t","D");
+　　Putcell(5,1,"b","E");
+　　Putcell(c0r1,c2r2,"c","F");
+　　Putcell(c2r1,c3r2,"lb","G");
+　　Putcell(c3r1,c5r2,"rt","H");
+\end{verbatim}
+　\\
+　　　\input{Fig/putcell}\\
+　※R0,C0,・・は実際には表示されない\\
+
+\begin{flushright}　\hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright}
+
+\hypertarget{putcol}{}
+\item[関数]　PutcoL (列番号, 文字位置，文字列リスト)
+\item[機能]　１列に順に文字を書き入れる
+\item[説明]　列番号で指定した列に，第１行から順に文字列リストの文字を書き入れる\\
+　数の場合はダブルクウォートでくくらなくてもよい。\\
+　セルを飛ばす場合は，ヌル文字列 "" を書く。\\
+
+
+\hypertarget{putcolexpr}{}
+\item[関数]　PutcoLexpr (列番号, 文字位置，文字列リスト)
+\item[機能]　１列に順に文字を書き入れる
+\item[説明]　文字列に\TeX 書式を使うことができる\\
+
+\hypertarget{putrow}{}
+\item[関数]　Putrow (行番号, 文字位置，文字列リスト)
+\item[機能]　１行に順に文字を書き入れる
+\item[説明]　行番号で指定した行に，第１列から順に文字列リストの文字を書き入れる。\\
+
+
+\hypertarget{putrowexpr}{}
+\item[関数]　Putrowexpr (行番号, 文字位置，文字列リスト)
+\item[機能]　１行に順に文字を書き入れる
+\item[説明]　文字列に\TeX 書式を使うことができる\\
+
+文字を入れる例を示す。
+\begin{verbatim}
+　　Tabledata("",5,3,100,45,["c1r1r2","r1c2c3","r2c2c3"]);
+　　PutcoL(3,"c",["A","B","C"]);
+　　PutcoLexpr(4,"l",["x^2","y=\sqrt{x^3}"]);
+　　Putrow(1,"c",[1,"二"]);
+　　Putrowexpr(3,"c",["","\frac{\pi}{2}","","","\sum{x^2}"]);
+\end{verbatim}
+
+　　　　　\input{Fig/putcol}\\
+
+　※ R0,C0,・・は実際には表示されない\\
+　　また，この例では，C4列の罫線を，制御点C4をドラッグすることにより\\
+　　右にずらしている。\\
+\\
+
+グラフや文を入れた表の作成例\\
+
+　PutcoLexpr(),Putrowexpr() では，数式だけでなく，一般の\TeX の文を入れることができる。\\
+　また，グラフの位置を適当に合わせて描画することにより，表のセルの中にグラフを入れることができる。\\
+
+　例：２次関数のグラフと２次方程式の判別式の関係\\
+　　セルの中にグラフを描く例。実際には，セルの位置にグラフを描いているだけ。
+\begin{verbatim}
+　　Tabledata("",3,3,120,90,["r1c0c3","r2c0c3"],["dr,2"]);
+　　Tableseg(["r1c0c3"],["dr"]);
+　　Tableseg(["r2c0c3"],["da"]);
+　　Plotdata("1","(x-2)^2+1.5","x=[0.5,3.5]");
+　　Plotdata("2","(x-6)^2+2","x=[4.5,7.5]");
+　　Plotdata("3","(x-10)^2+2.5","x=[8.5,11.5]");
+　　Listplot([A,B]);
+　　Listplot([C,D]);
+　　Listplot([E,F]);
+　　Putrowexpr(1,"c",["D>0","D=0","D<0"]);
+　　Putrow(2,"c",["2点で交わる","接する","共有点なし"]);
+　　Letter(G,"c","判別式と$x$軸の交点");
+\end{verbatim}
+　\\
+　　　　　　　\input{Fig/tablesample1}\\
+\\
+注意：この例を実行するとわかるが，セルのサイズと文字サイズの関係などにより，Cinderellaの画面上と\TeX への書き出しは必ずしも同一にはならない。\\
+
+\newpage
+　例：増減表とグラフ\\
+
+　関数の増減表とグラフを１つの表の中に入れた例。
+\begin{verbatim}
+　　Tate=[6,6,10,6,10,6,40];
+　　Yoko=[30,6,6,6];
+　　Rmv=["c1r0r1","c2r0r1","c3r0r1","c4r0r1","c5r0r1", "r1c6c7","r2c6c7","r3c6c7"];
+　　Tabledata("",Tate,Yoko,Rmv,["dr"]);
+　　Tlistplot("23d",["c1r2","c2r3"]);
+　　Tlistplot("23u",["c1r3","c2r2"]);
+　　Putrowexpr(2,"c",["x",0,"\cdots","\tfrac{1}{4}","\cdots",4]);
+　　Putrowexpr(3,"c",["y`","","-",0,"+"]);
+　　Putrowexpr(4,"c",["y",0,"\searrow","-\tfrac{1}{4}","\nearrow",2]);
+　　Putcell(1,1,"l2t2","{\small\begin{minipage}{44mm}$y=x-\sqrt{x}$\\$y`=
+　　\dfrac{2\sqrt{x}-1}{2\sqrt{x}}=0$|より\vspace{1mm}\\\hspace*{2zw}$x=
+　　\dfrac{1}{4}$\vspace{1mm}\\増減表は次のようになる\end{minipage}}" );
+　　Plotdata("1","x-sqrt(x)","x=[0,3]",["do","notex"]);
+　　Listplot("2",[[0,0],[3,0]],["do","notex"]);
+　　Listplot("3",[[0,-0.5],[0,3]],["do","notex"]);
+　　Translatedata("1","gr1",[4.9,1],["dr"]);
+　　Translatedata("2","sg2",[4.9,1],["dr"]);
+　　Translatedata("3","sg3",[4.9,1],["dr"]);
+　　Letter(Ptend(tr2),"e1","\small{$x$}");
+　　Letter(Ptend(tr3),"n1","\small{$y$}");
+　　Letter(Ptstart(tr2),"w1","\small O");
+　　Expr(Ptend(tr1),"nw-2","y=x-\sqrt{x}");
+\end{verbatim}
+　　　　　　　\input{Fig/tablesample2}
+\begin{flushright}　\hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright}
+
+\hypertarget{settable}{}
+\item[関数]　Settable((左上) , 右下)
+\item[機能]　表データを書き出す
+\item[説明]　指定された範囲で表の枠線を書き出す。指定しなければ全体が書き出される。\\
+　表の出力範囲は，NE,SWによる描画範囲にかからわず，全体もしくはSettable()で指定した範囲となる。\\
+　位置は，制御点による位置表示で，c2r3 のように指定する。\\
+　c,rは小文字で c,r の順。\\
+　左上を省略すると，デフォルトの c0r0 と解釈される。\\
+
+例：\verb|Tabledata("",4,5,80,50,[]);|\\
+　　\verb|repeat(5,s, Putrow(s,"c",[s*4-3,s*4-2,s*4-1,s*4]));|\\
+　　\verb|Settable(c4r5);|\\
+
+　２行目で各セルに数字を入れている。\\
+　左上と右下（罫線C4とR5の交点）を対角とする範囲，すなわち全体を書き出す。\\
+　　\verb|Settable(c3r4);|\\
+　とすると，左上と右下（罫線C3とR4の交点）を対角とする範囲。\\
+　出力するのは罫線だけなので，セルの中身はそのまま表示される。（下図左）\\
+　　\verb|Settable(c1r1,c3r4);|\\
+　とすると，左上（罫線C1とR1の交点）と右下（罫線C3とR4の交点）を対角とする範囲。\\
+　罫線だけなので，セルの中身はそのまま表示される。（下図右）\\
+\\
+　　\input{Fig/settable1}　　　　　　　　\input{Fig/settable2}\\
+　\\
+　\\
+\hypertarget{tgrid}{}
+\item[関数]　Tgrid(セルラベル)
+\item[機能]　表のセルの座標を返す
+\item[説明]　指定されたセルの左上の座標を返す。実際には，セルラベルは罫線を示しているので，指定した罫線の交点（格子点）ということもできる。\\
+　\\
+\hypertarget{tlistplot}{}
+\item[関数]　Tlistplot(セルラベル1,セルラベル2)
+\item[機能]　指定された２つの格子点を線分で結ぶ
+\item[説明]　セルに斜線を引くのに用いる。\\
+　　例：\verb|Tlistplot(["c0r1","c1r2"]);| 
+　\\
+\begin{flushright}　\hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright}
+
+\end{description}
+
+\newpage
+
+%===================================
+\subsection{値の取得と入出力}
+
+　計算値やプロットデータの値を取得したり，Scilab用とのデータのやりとりをする。\\
+\begin{description}
+
+\hypertarget{crossprod}{}
+\item[関数]　Crossprod(リスト，リスト)
+\item[機能]　２つのベクトルの外積を求める。
+\item[説明]　Cindyscriptの組み込み関数 cross(リスト，リスト)と同じ。\\
+　例：\verb|Crossprod([1,0,0],[1,1,1]);|\\
+　　　結果は　[0,-1,1]\\
+
+\hypertarget{dotprod}{}
+\item[関数]　Dotprod(リスト，リスト)
+\item[機能]　２つのベクトルの内積を求める。
+\item[説明]　Cindyscriptでは，積の演算で内積が求められる。\\
+　例：\verb|Dotprod([1,2,3],[1,-1,1]);|\\
+　　　結果は　２\\
+　　　[1,2,3]*[1,-1,1] でも同じ結果を得る。\\
+
+\hypertarget{findarea}{}
+\item[関数]　Findarea(プロットデータ)
+\item[機能]　プロットデータで囲まれる部分の面積を求める。
+\item[説明]　閉曲線をなすプロットデータで囲まれる部分の面積を求める。\\
+例：ベジェ曲線で囲まれた部分の面積を求めて表示する。\\
+　　\verb|Bezier("1",[A,B,C],[[D],[E,F]]);|\\
+　　\verb|drawtext([2,1],Findarea("bz1"));|\\
+
+\hypertarget{findlength}{}
+\item[関数]　Findlength(プロットデータ)
+\item[機能]　プロットデータの曲線の長さを求める。
+\item[説明]　プロットデータが描く曲線の長さを求める。\\
+例：ベジェ曲線で描いた曲線の長さを求めて表示する。\\
+　　\verb|Bezier("1",[A,B,C],[[D],[E,F]]);|\\
+　　\verb|drawtext([2,1],Findlength("bz1"));|\\
+
+
+\hypertarget{intersectcrvs}{}
+\item[関数]　Intersectcrvs(プロットデータ1, プロットデータ2, optionss)
+\item[機能]　2曲線の交点リストを取得する。
+\item[説明]　オプションは共有点があるかどうかを判断するための限界値\\
+ただし，オプションは通常は使わないので気にしなくてよい。\\
+　\\
+例：円と曲線の交点をP,Qとする。
+\begin{verbatim}
+　　　Plotdata("1", "sin(x)", "x", ["Num=100"]);
+　　　Circledata([A, B]);
+　　　tmp=Intersectcrvs(gr1, crAB);
+　　　P.xy=tmp_1;
+　　　Q.xy=tmp_2;
+ \end{verbatim}
+    
+　リスト内に2交点のデータが tmp＝[ [ $-0.37$, $-0.36$ ], [ 2.13, 0.85 ] ] のように入っている。交点の順序は PD1, PD2 の順序と曲線の向きによって決まる。曲線の向きは，$y=f(x)$のグラフではx座標が増加する向きで，パラメーター表示曲線ではパラメータの増加する向き。また，PD1 上から探し始めて PD2 との交点を拾ってゆく。\\
+　交点がひとつの場合も tmp＝[ [ 2.45, 0.63 ] ] と2重のリストに入っているので，点として取出すには P=tmp\verb|_|1; とする。\\
+\begin{center}
+\input{Fig/Intersectcrvs1}\\
+\end{center}
+
+\hypertarget{invert}{}
+\item[関数]　Invert(PD)
+\item[機能]　プロットデータの点を逆順にする（reverseと同じ）
+\\
+
+\hypertarget{meetcurve}{}
+\item[関数]　MeetCurve(曲線,x0, y0)
+\item[機能]　曲線上の点を返す。
+\item[説明]　x座標がx0で，点(x0, y0)に近い曲線上の点を返す。\\
+注）x0, y0 は文字列でもよい。\\
+
+\hypertarget{lcrd}{}
+\item[関数]　Lcrd()
+\item[機能]　幾何点，リスト点の論理座標を取得する。
+\\
+
+\hypertarget{pcrd}{}
+\item[関数]　Pcrd()
+\item[機能]　幾何点，リスト点の物理（表示）座標を取得する。
+\\
+
+
+\begin{flushright}　\hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright}
+
+\hypertarget{nearestpt}{}
+\item[関数]　Nearestpt(PD1，PD2)
+\item[機能]　２曲線に対し，最も近い点とそのパラメータ，距離のリストを返す
+\item[説明]　戻り値は，それぞれの曲線上の点の座標とプロットデータ中の位置，その距離からなるリスト。\\
+例：２つの放物線上の点の最短距離とその位置を求める。点A,Bを作図ツールでとっておく。
+\begin{verbatim}
+　　Plotdata("1", "x^2+2", "x=[-2,2]");
+　　Plotdata("2", "-(x-2)^2","x=[0,3]");
+　　plist=Nearestpt("gr2","gr1");
+　　B.xy=plist_1;
+　　A.xy=plist_3;
+　　Listplot([A,B],["do"]);
+　　Ptsize(4);
+　　Drwpt([A,B]);
+　　Letter([A,"nw","A",B,"n2e","B",(A+B)/2,"e",text(plist_5)]);
+\end{verbatim}
+　　　　　　\input{Fig/Nearestpt}\\
+\\
+ここで plistに代入されたリストは次の形である。５番目の要素が２点間の距離，すなわち最短距離。\\
+　　[[1.68,-0.1],29,[0.32,2.1],30,2.59] \\
+　\\
+\hypertarget{nearestptcrv}{}
+\item[関数]　Nearestptcrv(座標, プロットデータ)
+\item[機能]　第１引数の座標に最も近い曲線プロットデータ上の点座標を返す
+\item[説明]　次に例示する。中心A，半径ABの円と点C,DはCinderellaで作図しておく。
+\begin{verbatim}
+　　Circledata([A, B]);
+　　Plotdata("1", "x^2", "x");
+　　pCr=Nearestptcrv(C.xy, "crAB")
+　　pC1=Nearestptcrv(C.xy, "gr1")
+　　pDr=Nearestptcrv(D.xy, "crAB");
+　　pD1=Nearestptcrv(D.xy, "gr1");
+\end{verbatim}
+ぞれぞれ，点C，点D から最も近い曲線上の点を表す。\\
+　\\
+　　　　　　\input{Fig/Nearestpt1}\\
+
+　\\
+\begin{flushright}　\hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright}
+
+\hypertarget{numptcrv}{}
+\item[関数]　Numptcrv (プロットデータ)
+\item[機能]　曲線の節点の個数を返す
+\item[説明]　Cindyscript の length(PD)と同じ\\
+
+例： 曲線上のいくつかの点で分割し破線で図示する。\\
+区間$[-1, 2]$に対する2次関数のグラフを描く\\
+　　\verb|Deffun("f(x)",["regional(y)","y=-x^2+4","y"]);|\\
+　　\verb|Plotdata("1","f(x)","x=[-1,2]",["Num=200"]);|\\
+曲線の端点を結ぶ直線を描く\\
+　　\verb|Lineplot("3",[Ptstart(gr1),Ptend(gr1)],["do"]);|\\
+節点の4分の１で曲線を分割して破線を描く\\
+　　\verb|Lineplot("4",[Ptstart(gr1),Ptcrv(0.25*Numptcrv(gr1),gr1)],["da"]); |\\
+節点の2等分で曲線を分割して破線を描く\\
+　　\verb|Lineplot("5",[Ptstart(gr1),Ptcrv(0.5*Numptcrv(gr1),gr1)],["da"]); |\\
+節点の4分の3で曲線を分割して破線を描く\\
+　　\verb|Lineplot("6",[Ptstart(gr1),Ptcrv(0.75*Numptcrv(gr1),gr1)],["da"]);| \\
+曲線上の点Aの接線を引く。
+\begin{verbatim}
+　　coef=Derivative("f(x)","x",G.x);
+　　Defvar("DC=coef");
+　　Deffun("g(x)",["regional(y)","y=DC*(x-G.x)+G.y","y"]);
+　　Plotdata("2","g(x)","x",["dr,2"]); 
+\end{verbatim}
+ 　\\
+\input{Fig/numptcrv}\\
+
+\begin{flushright}　\hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright}
+
+\hypertarget{paramoncrv}{}
+\item[関数]　Paramoncrv(点の座標, 曲線の名前)
+\item[機能]　曲線上の点のパラメータ値を返す。
+\item[説明]　曲線は折れ線として描かれるが，曲線上の各点はこの折れ線の節点を基準としたパラメータ値を持つ。パラメータ値は整数部分が節点の番号，小数部分が節間の位置を表す。\\
+
+例：図のような点PからQに至る円周上の5等分点を節点とする折れ線sg1において，
+$n$番目の線分上の点は$n\leqq t\leqq n+1$の範囲のパラメータ値を持つ。\\
+図の点$\mathrm{A}$は2番目の線分上にあり，パラメータ値は2.45である。この値は\\
+　　\verb|Paramoncrv(A.xy,"sg1");|\\
+によって得られる。\\
+　\\
+　　　　　　　\input{Fig/paramoncrv}\\
+
+\hypertarget{pointcrv}{}
+\item[関数]　Pointoncrv(点のパラメータ値, PD)
+\item[機能]　曲線上のパラメータ値を持つ点の座標を返す。
+\item[説明]　曲線（折れ線）上の節点を基準としたパラメータ値により点の位置が定まる。\\
+
+例：図のような点$\mathrm{P}$から$\mathrm{Q}$に至る半円周上の5等分点を節点とする折れ線sg1において，パラメータ値$4.5$を持つ点$\mathrm{A}$は4番目の線分の中点である。したがって\\
+　　\verb|A.xy=Pointoncrv(4.5,"cr1");|\\
+によって，点Aを中点に置くことができる。\\
+　\\
+　　　　　　　　\input{Fig/pointoncrv}
+
+\begin{flushright}　\hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright}
+\newpage
+\hypertarget{ptcrv}{}
+\item[関数]　Ptcrv(n,プロットデータ)
+\item[機能]　曲線プロットデータのn 番目の節点を返す
+\item[説明]　Cindyscript の PD\_n と同じ\\
+
+例：楕円上の点で分割する。あからじめ必要な点を作図しておく。
+\begin{verbatim}
+　　　Circledata([O,P],["do","Num=100","notex"]);
+　　　Scaledata("1","crOP",4/3,1);
+　　　F.xy=[-sqrt(7),0];
+　　　A=Ptcrv(9,sc1);
+　　　B=Ptcrv(16,sc1);
+　　　Listplot("1",[A,F,B],["da"]);
+　　　Partcrv("1",A,B,"sc1",["dr,3"]);
+　　　Shade(["part1","sg1"],0.1);
+　　　Arrowhead(B,"sc1",[1.5]);
+　　　Letter([A,"ne","A",B,"ne","B",F,"s2","F"]);
+\end{verbatim}
+   　　　    　　　\input{Fig/ptcrv}
+   
+\begin{flushright}　\hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright}
+
+\hypertarget{ptstart}{}
+\item[関数]　Ptstart(プロットデータ) , Ptend(プロットデータ)
+\item[機能]　プロットデータの最初の点，最後の点を取得する。
+\item[説明]　プロットデータの最初の点，最後の点の座標を返す。\\
+　\\
+例：定義域を限定したグラフの両端の点を取得し線分ABを引く。\\
+\begin{verbatim}
+　　　Deffun("f(x)",["regional(y)","y=x^2","y"]); 
+　　　Plotdata("1","f(x)","x=[-1,2]",["dr"]);
+　　　Lineplot("2",[Ptstart(gr1),Ptend(gr1)]);
+\end{verbatim}
+          　　　　\input{Fig/ptstart}\\
+\begin{flushright}　\hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright}
+
+　\\
+
+\hypertarget{readoutdata}{}
+\item[関数]　ReadOutData(ファイル名）
+\item[機能]　外部データを読み込む
+\item[説明]　ScilabのWriteOutDataで作ったプロットデータ列のデータファイルを読み込む。\\
+引数を省略した場合は，Fheadで定義したファイル名のテキストファイルから読み込む。
+ファイル名にはコンマで区切ってパスを与えることができる。たとえば，\\
+　　　\verb|ReadOutData("/datafolder","file.txt"); |\\
+　\\
+　\\
+\hypertarget{sprintf}{}
+\item[関数]　Sprintf(実数,長さ)
+\item[機能]　小数点以下の長さを固定した文字列に変換
+\item[説明]　実数を，小数点n位までの数とした文字列に変換する\\
+　\\
+例　Sprintf(pi,2) は 3.14 を返す\\
+　　Sprintf(pi,7) は 3.1415927 を返す\\
+注）pi は Cindyscriptの予約変数で，円周率を表す。　\\
+
+\hypertarget{writetosci}{}
+\item[関数]　WritetoSci(引数) ,WritetoScibody(引数)
+\item[機能]　Scilab用のソースファイルに書き出す
+\item[説明]　ソースファイルへの書き出し方に３つのタイプがある\\
+
+・引数なしの場合\\
+　　Fheadで定義したファイル名に拡張子 .sci を付加して全体を書き出す。\\
+　　末尾にコメントアウトした quit() を付加する。\\
+・WritetoSciの引数に次の数を渡す \\
+　\verb|WritetoSci(1)|： WritetoSci() と同じ\\
+　\verb|WritetoSci(2)|： 全体を書き出し，末尾に quit() を付加する。\\
+　\verb|WritetoSci(3)|： WritetoScibody() と同じ。body部分のみを書き出す。\\
+・ファイル名を引数とする\\
+　　引数のファイル名で書き出す。ただし，拡張子 .sci をつける必要がある。\\
+・引数を "sh" とする\\
+　　WritetoSci(2) と同じ。\\ 
+・\verb|WritetoSci(filename,"sh")|\\
+　　引数のファイル名でshell（bat）コマンド用のファイルを書き出す。\\
+・\verb|WritetoSci(数字 ,filename)| は不可（エラーとなる）\\
+\\
+
+\hypertarget{makeshell}{}
+\item[関数]　Makeshell(ファイル名) / Makebat(ファイル名)
+\item[機能]　Macの場合はシェルファイル，Windowsの場合はバッチファイルを書き出す。
+\item[説明]　書き出されるファイルは次の通り。\\
+・書き出される場所とファイル名は，  Shellparent / Batparent で指定したもの。\\
+・内容は，Shellchild / Batchild に，子プロセスの引数として Fhead と引数のファイル名を付加したもの。たとえば，Shellchild="sh ketcindy.sh" で，Fhead="fig" , 引数が "fig2tex" であれば
+\begin{verbatim}
+　　#!/bin/sh
+　　cd /Users/Hoge/Desktop/KeTCindy
+　　sh ketcindy.sh fig fig2tex
+　　exit 0
+\end{verbatim}
+が書き出される。２行目のディレクトリ（フォルダ）名は，Dirwork で指定したもの。\\
+ただし，上記の fig は fig.sci のことだが，fig.sci は出力されないので，別途 WritetoSci(2) で書き出す必要がある。\\
+　\\
+
+\hypertarget{textformat}{}
+\item[関数]　Textformat(数，桁数)
+\item[機能]　小数点以下の桁数を指定して数を文字列化する。
+\item[説明]　Cindyscriptの組み込み関数にも，format()という同様の関数があるが，こちらは，数のリストにも対応する。\\
+
+例：円周率を小数点以下５位までで文字列化する。\\
+　\\
+　　\verb|Textformat(pi,5);|\\
+　\\
+　　戻り値は，3.14159\\
+　\\
+例：円周率と，ネピア数をリストにして，共に小数点以下５位までで文字列化したリストを返す。\\
+　\\
+　　\verb|Textformat([pi,exp(1)],5);|\\
+　\\
+　　戻り値は，[3.14159,2.71828] \\
+ 　\\
+
+\hypertarget{viewtex}{}
+\item[関数]　Viewtex()
+\item[機能]　\TeX のソースファイルを書き出す。引数なし。
+\item[説明]　グローバル変数Fheadで定義したファイル名に "main" を付加した\TeX のソースファイルとバッチファイル（Macの場合はシェルファイル）を作成する。\\
+Fhead のほか，ディレクトリ指定などのため，次のグローバル変数に必要事項が代入されていることが条件である。\\
+　\\
+　　Dirwork=作業フォルダのパス\\
+　　Shellparent=親プロセス (kc.sh / kc.bat )を置くディレクトリのパス\\
+　　Shellchild=子プロセス名\\
+　　Libname=Scilabのライブラリ ketpicsciL5 へのパス\\
+　\\
+たとえば，Fhead="fig" とすると\\
+・図を表示する fig.sci を Dirwork で指定したフォルダにを生成する。(すでにある場合は上書き)\\
+・Dirwork で指定したフォルダに figmain.tex を生成する。（すでにある場合は上書き）\\
+　figmain.tex は \TeX のプリアンブルと \verb|begin{document}| を設定したソースファイルで，中には \verb|input{"fig.tex"}| が書かれており，これをコンパイルすれば作成した図を表示することができる。\\
+・親プロセスの生成（すでにある場合は上書き）\\
+　ketcindy.sh (Mac) ketcindy.bat(Windows) を子プロセスとして figmain.tex と fig.tex を引数として実行するプロセス kc.sh(Mac) kc.bat (Windows) を作業ディレクトリに生成する。これを実行すると図を表示するPDFファイルが作られる。\\
+　以上の手続きにより，Viewtex() を実行すれば，デスクトップ上に生成された kc.sh / kc.bat を使って，fig.sci の生成から，fig.tex の作成，\TeX のコンパイルまでの一連の操作を自動実行して，図を表示することができることになる。kc.sh / kc.bat の実行は，kc() で行うことができる。\\
+ \\
+ 
+ \hypertarget{workprocess}{}
+\item[関数]　Workprocess(）
+\item[機能]　作図の経過を取得する
+\item[説明]　作図ツールを用いた作図の経過を取得する。\\
+　\verb|println(Workproccess());|\\
+　とすると，コンソールに作図手順が表示される。\\
+
+\end{description}
+
+\begin{flushright}　\hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright}
+\newpage
+
+%===================================================
+\subsection{その他}
+\begin{description}
+
+\hypertarget{assign}{}
+\item[関数]　Assign(文字列，文字，文字）
+\item[機能]　文字列の中のある文字を他の文字で置き換える
+\item[説明]　第１引数の文字列中の第２引数の文字を，第３引数の文字で置き換える。\\
+　第３引数が数値の場合，文字列に変換される。\\
+　第２引数と，第３引数をリストにして，複数の置き換えをすることができる。\\
+　\\
+　例：a*x を1.3*x とした文字列を返す。次のいずれも同じ結果になる。
+\begin{verbatim}
+　　　Assign("x^2+a*x","a","1.3"); 
+　　　Assign("x^2+a*x","a",1.3);
+\end{verbatim}
+　\\
+　例：直線 $y=bx-b^2$ の係数$b$を変化させて描き，包絡線をうかびあがらせる。
+\begin{verbatim}
+　　　　repeat(50,t,
+ 　　　　　cb=t/5-5;
+ 　　　　　Plotdata(text(t),Assign("b*x-b^2","b",cb),"x");
+　　　　);
+\end{verbatim}
+ 　\\
+　　　　　\input{Fig/assign}\\
+　\\
+　例：文字で表された $x$ と $y$ の係数をまとめて数値で置き換える。\\
+　　　\verb|Assign("a*x^2+b*x",["a",1,"b",2]);|\\
+　\\
+\begin{flushright}　\hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright}
+
+\hypertarget{bbdata}{}
+\item[関数]　BBdata(ファイル名,option）
+\item[機能]　画像ファイルのサイズを求める
+\item[説明]　TeX文書において，inputgraphics コマンドで画像を貼り込むときのBBサイズを求める。\\
+　TeX処理系の extractbb を用いて画像ファイルからBBデータを作り，テキストファイルとして作業ディレクトリに書き出す。これを読んで，コンソールに ingludegarphics のコマンドを書き出す。\\ 
+　optionは，幅または高さの指定。\\
+　"w=40mm" で  width=40mm が，"h=40mm"  で height=40mm が付加される。\\
+　\\
+例：pic.pdf のサイズを求める。\\
+　　\verb|BBdata("pic.pdf")|\\
+　を実行すると，コンソールに ingludegarphics のコマンド文\\
+　　　\verb|\includegraphics[bb=・・・・]{pic.pdf} |\\
+　が表示される。これをそのままコピーすればよい。\\
+　なお，bbの値は整数値ではなく，高精細の値を小数点以下2桁に四捨五入して示される。\\
+　画像ファイルは，PDFに限らず，PNG，JPGなどでもよい。\\
+　\\
+例：\verb|BBdata("fig.jpg",["h=40mm"]);|\\
+　　で\\
+　　\verb|\includegraphics[bb=0.00 0.00 578.16 592.56,height=40mm]{fig.jpg} |\\
+　　が表示される。\\
+　\\
+
+\hypertarget{changework}{}
+\item[関数]　Changework(パス名）
+\item[機能]　作業ディレクトリを指定（変更）する
+\item[説明]　作業ディレクトリは，InitializationスロットのKETlibページに Dirwork= で指定されているが，これを変更する。Drawスロットの，Ketinit() の前に記述することにより，Ketlibページの記述を変更しなくてすむ。\\
+　これにより，作成したファイルを他の人とやり取りしやすくなる。\\
+
+\hypertarget{com0th}{}
+\item[関数]　Com0th(文字列）
+\item[機能]　ScilabのOpenfileの前に置くコマンド（文字列）を定義する。
+\item[説明]　例：\verb|Com0th("Setax('a')");|\\
+　Openfileの前の部分の先頭に書き出す。これにより， \ketcindy でサポートされていないScilab版\ketpic のコマンドを利用することができる。\\
+　\\
+\hypertarget{com1st}{}
+\item[関数]　Com1st(文字列）
+\item[機能]　ScilabのOpenfileの前に置くコマンド（文字列）を定義する。
+\item[説明]　例：\verb|Com1st("Setax('a')");|\\
+　これにより， \ketcindy でサポートされていないScilab版\ketpic のコマンドを利用することができる。
+\\
+\hypertarget{com2nd}{}
+\item[関数]　Com2nd(文字列）
+\item[機能]　ScilabのOpenfileのあとに置くコマンド（文字列）を定義する。
+\\
+
+\hypertarget{com2ndpre}{}
+\item[関数]　Com2ndpre(文字列）
+\item[機能]　ScilabのOpenfileのあとに置くコマンド（文字列）を定義する。
+　Openfileの直後（グループの先頭に）書き出す。\\
+
+\hypertarget{figpdf}{}
+\item[関数]　Figpdf(option）
+\item[機能]　出力枠サイズのPDFを作る。
+\item[説明]　KeTCindyでは，通常，出力された fig.tex ファイルを閲覧するPDFをA4サイズで作成する。これに対し，Figpdf()を実行すると，出力サイズのPDFを作成する。閲覧用だけではなくワープロなどにに貼り込むときにそのまま使用できるので便利である。ただし，そのための親子プロセスを生成して実行するため，次の手続き(1)(2)が必要となる。\\
+(1) 変数　Texparent　を設定する。\\
+　これは，出力するPDFのファイル名の指定である。たとえば，
+\begin{verbatim}
+　　Fhead="fig";
+　　Texparent="pic";
+\end{verbatim}
+　とすると，fig.tex を表示した pic.pdf が作成される。pic.pdf が目的のPDF。\\
+　Texparent は Fhead とは異なるものにする。\\
+(2) 出力は，「Parent」「Exekc」の順にボタンを押す。「Texview」は押さない。\\
+　なお，これらのボタンを使わずにスクリプトで実行するか，オリジナルのボタンを作る場合は，次のコマンドを実行する。
+\begin{verbatim}
+　　　Writetosci(2);
+　　　Makeshell();
+　　　kc();
+\end{verbatim}
+　Writetosci(2); と Makeshell(); で fig.sce とpic.tex が作成される。\\
+　Windowsの場合は Makebat(); とする。\\　
+　\verb|kc();|　により kc.sh が実行され，Scilabで fig.sceからfig.tex を作るところからPDF作成までの一連の作業が行われる。\\
+　\\
+optionは，マージン（余白）と平行移動量。指定しない場合はデフォルト値。\\
+引数が１つの実数の場合は，左右上下同一の指定した余白となる。\\ 
+引数が４つの数をコンマで区切った文字列を要素とするリストの場合，左右上下の余白指定となる。\\
+引数が２つの数をコンマで区切った文字列を要素とするリストの場合，右，下方向への平行移動指定となる。\\
+余白指定と平行移動指定は同時に行うことができる。\\
+例： \verb|Figpdf(10);|　　　　　　　　上下左右10mmの余白\\
+　　\verb|Figpdf(["5,5,10,10"]);|　　　　左右に5mm，上下10mmの余白\\
+　　\verb|Figpdf(["5,10"]);|　　　　　　右に5mm，下に10mm平行移動して表示\\
+　　\verb|Figpdf(["5,8,10,10","5,-5"]);|　左5mm，右8mm，上下10mmの余白，\\
+　　　　　　　　　　　　　　　　　　右に5mm，上に5mm平行移動して表示\\
+なお，座標軸を表示する場合，右側は最低3mmの余白を設定しないと軸の文字が入らない。\\
+
+\hypertarget{texcom}{}
+\item[関数]　Texcom(\TeX コード）
+\item[機能]　\TeX のコードを書き出す
+\item[説明]　任意の\TeX のコードを書き出す\\
+　ScilabのTeXcomにそのまま引き渡しているだけ。\\
+
+\hypertarget{windispg}{}
+\item[関数]　Windispg()　または　Windisp(データのリスト）
+\item[機能]　定義されているプロットデータをCinderella画面に黒線で描く
+\item[説明]　Windispg()は，スクリプトの最後に置くことで，出力される部分だけが黒で描かれるので，出力図を確認することができる。ただし，Letter()関数で表示した点の名称などがCinderellaで作図したラベルと重なって表示されて見にくくなることもある。この関数を実行しなくても出力には影響しない。\\
+　Windisp(データのリスト）は，Scilabから \ketcindy 用に出力されたファイルを ReadOutData()関数で読み込んだときに，必要なプロットデータ列だけを表示するのに用いる。\\
+　ReadOutData("filename.txt") でデータを読み込むと，そのデータに含まれるプロットデータ列が，コンソールに\\
+Outdata of filename.txt : [Gfn,Gdfn,Gh] \\
+のように表示される。\\
+このうち，GfnとGhだけを表示するのであれば\\
+Windispg([Gfn,Gh]);\\
+ とする。引数なしで\\
+Windispg();\\
+とすればすべてのプロットデータ列が表示される。\\
+なお，いずれの場合も，作図したプロットデータも同時に表示される。\\
+　作図した図を全てではなく選択して表示する場合は，それらのプロットデータ名をリストにして引数とする。\\
+　たとえば，sg1, gr1, crABが定義されているとき，\\
+　　　　\verb|Windispg(["sg1","gr1"]);|
+とすれば，sg1,gr1のみが表示される。
+　次の３つの関数は，プロットデータの操作で，単独で用いることもできるが，描画関数，プロットデータの操作関数のオプションに組み込まれているので，特殊な場合を除いてはほとんど利用しないと思われる。\\
+
+\hypertarget{drwline}{}
+\item[関数]　Drwline(プロットデータ）
+\item[機能]　プロットデータ（文字列）を実線で描く
+\item[説明]　ScilabのDrwlineを書き出す\\
+　例：\verb|Drwline("sABCA,1");|\\
+\\
+
+\hypertarget{dashline}{}
+\item[関数]　Dashline(プロットデータ）
+\item[機能]　プロットデータ（文字列）を破線で描く
+\item[説明]　ScilabのDashlineを書き出す\\
+　例：\verb|Dashline("sABCA");|\\
+\\
+\hypertarget{dottedline}{}
+\item[関数]　Dottedline(プロットデータ）
+\item[機能]　プロットデータ（文字列）を点線で描く
+\item[説明]　ScilabのDottedlineを書き出す\\
+　例：\verb|Dottedline("sABCA");|\\
+
+\hypertarget{helplist}{}
+\item[関数]　helplist()
+\item[機能]　ヘルプデータを作成する
+\item[説明]　関数の簡単な説明データを作成する。\\
+　この関数は，Initialization スロットに書く。\\
+　\\
+
+\begin{flushright}　\hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright}
+\hypertarget{help}{}
+\item[関数]　Help(文字列）
+\item[機能]　関数の使用例を取得する
+\item[説明]　文字列で始まる関数の使用例をコンソールに表示する。\\
+　　\verb|println(Help("C"));|\\
+　のようにすると，コンソールに，次のように「C」で始まる関数の使用例が表示される。
+\begin{verbatim}
+　　CRspline("1",[A,B,C,A]); 
+　　ChangeTablestyle(["r0c0c3"],["da"]);\
+　　Changestyle("sgAB",["da"]); 
+　　Changstyle("geoseg3","ax3d"],["notex"]);\
+　　Circledata([A,B,C]); 
+　　Circledata([A,B],["Rng=[0,pi/2]"]);\
+　　Com2nd("\color[cmyk]{0,0,0,0.5}");\
+　　Crossprod(vec1,vec2); \\
+\end{verbatim}
+
+　さらに，\\
+　　\verb|println(Help("Ci"));| とすると
+\begin{verbatim}
+　　Circledata([A,B,C]); 
+　　Circledata([A,B],["Rng=[0,pi/2]"]);
+\end{verbatim}
+　だけが表示される。\\
+　　\verb|println(Help("*"));|
+　 とすると，すべての関数の使用例が表示される。\\
+　引数がない場合は，\verb|Helplist(Dirlib,["+","+3d"],"helpJ”);|　とみなされる。+はketcindylibの意味。\\
+\\
+
+\hypertarget{helpkey}{}
+\item[関数]　Helpkey(文字列）
+\item[機能]　関数の使用例をキーワードで検索する
+\item[説明]　文字列に与えたキーワードで関数の使用例を検索し，コンソールに表示する。\\
+　例：\verb|Helpkey("直線");|　とすると，コンソールに次のように表示される。
+\begin{verbatim}
+　　　IntersectsgpL("",[p1,p2],[p3,p4,p5],"draw"); 
+　　　IntersectsgpL("R","P-Q","A-B-C"); 
+　　　IntersectsgpL("R","P-Q","A-B-C","put");
+     　　　空間の直線と平面の交点
+　　　Lineplot("1",[[2,1],[3,3]]);
+　　　Lineplot([A,B]);
+     　　　直線データを作成
+　　　PtonLine("C",pA,pB); 
+     　　　直線上に点をとる
+\end{verbatim}
+　\\
+\hypertarget{indexall}{}
+\item[関数]　Indexall(str1,str2);
+\item[機能]　文字列 str1 から str2 を検索しその位置をすべて返す
+\item[説明]　Cindyscriptの indexof() の拡張版。indexof() が最初に見つかった位置を返すのに対し，Indexall()は存在する位置をすべてリストにして返す。\\
+　\\
+例：str="abcabcabc" から "b"を検索する。\\
+　　\verb|indexof(str,"b")| では，2 が返る。\\
+　　\verb|Indexall(str,"b")| では，[2,5,8]が返る。\\
+　\\
+
+\hypertarget{ketcindylogo}{}
+\item[関数]　Ketcindylogo(）
+\item[機能]　\ketcindy のロゴを書き出す
+\item[説明]　\ketcindy のロゴを表示する\TeX のコマンド行を書き出す。\\
+　内容は\\
+\verb|\|def\verb|\|ketcindy\{\{K\verb|\|kern-.20em \verb|\|lower.5ex\verb|\|hbox\{E\}\verb|\|kern-.125em\{TCindy\}\}\}"
+　\\
+\hypertarget{op}{}
+\item[関数]　Op(n,list or str)
+\item[機能]　リストまたは文字列から要素を抜き出す
+\item[説明]　第２引数のリストまたは文字列のn番目の要素（文字）を返す。\\
+Cindyscriptの アンダーバーの演算子 (list\_n , str\_n) と同様。Silabとの整合性のため追加\\
+　\\
+\begin{flushright}　\hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright}
+\newpage
+
+\end{description}
+\newpage
+
+%第11節 他の数式処理ソフトとの連携　=============================
+\section{他の数式処理ソフトなどとの連携}
+\subsection{Rとの連携}
+Rは主に統計解析のためのソフトウェアで，　binorm（二項分布），pois（ポアソン），unif（一様分布），chisq（カイ２乗），f（F分布），t（t分布）など，多くの確率分布をサポートしている。\\
+正規分布（normal distribution）では\\
+　dnorm 確率密度関数\\
+　pnorm 分布関数\\
+　qnorm 分布関数の逆関数\\
+　rnorm  乱数発生\\
+というように，分布名の頭にd, p, q, r をつけると上記４つの関数が得られる。\\
+　各分布には，自由度などの引数があり，たとえば，平均m, 標準偏差sの正規分布（の密度関数）は　　dnorm(x, m ,s )　となる。\\
+　\\
+　KeTCindyでは，kc.bat/shによってコマンドをRに渡し，結果をテキストファイルで受け取る。このとき，Rとのやりとりで，次のようなファイルが作業ディレクトリに作成される。\\
+拡張子 r ：r用のファイル\\
+拡張子 dat，拡張子 txt：データファイル\\
+このデータのやり取りに関する次のオプションがある。\\
+　オプションなしまたは，”” のとき\\
+　　i) データファイルがなければ，新しく作る\\
+　　ii) データファイルが既にあればそれを読み込む\\
+　"m"  のとき，強制的にデータファイルを作り直す。\\
+　"r" のとき，すでにあるデータファイルを読み込む。\\ 
+　このとき，ファイルの読み書きで不具合があると，数秒の後「==$>$ file.txt not generated (5 s ) 」のようなエラーメッセージがコンソールに表示される。このような場合は作業ディレクトリの設定などを確認していただきたい。この待ち時間については，Waitオプションで設定することもできる。\\
+　\\
+
+\begin{description}
+\hypertarget{boxplot}{}
+\item[関数]　Boxplot(名前,データ,垂直位置,高さ,option)
+\item[機能]　箱ひげ図を描く
+\item[説明]　データは，直接的に変数で渡す場合とファイルから読み込む場合がある。\\
+例：乱数で作成した５未満の実数のデータを箱ひげ図にする。\\
+\begin{verbatim}
+　　dt1=apply(1..100,5*random());
+　　Boxplot("1",dt1,1,1/2);
+\end{verbatim}
+　\\
+例：外部ファイルとして用意したデータを読み込んで箱ひげ図にする。データファイルはcsv形式とする。\\
+\begin{verbatim}
+　　Boxplot("2","datafile.csv",3,1/2);
+　　Boxplot("1",dt1,1,1/2);
+\end{verbatim}
+　\\
+　複数列から成るcsvファイルを読み込むには，Readcsvを使う。読み込んだファイルは，Readcsv()で指定した名前のリストに入る。（頭部はrc）\\
+　データの値を画面に入るように調節するには，次のようにリストの計算を利用すればよい。\\
+ 　また，Framedata2()，Rulerscale() を併用することで目盛を入れることができる。Framedata2() のために，表示領域の対角点A,BをCinderellaの作図ツールで作図しておく。\\
+\begin{verbatim}
+　　Readcsv("1","datafile.csv");
+　　dt1=apply(rc1,#_1);
+　　dt2=apply(rc1,#_2);
+　　Boxplot("1",dt1/20,1,1/2);
+　　Boxplot("2",dt2/20,3,1/2);
+　　Framedata2("1",[A,B]);
+　　Rulerscale(A,["r",0,6,1],["f",1,"\mbox{dt1}",3,"\mbox{dt2}"]);
+\end{verbatim}
+　\\
+　　　　　\input{Fig/boxplot}\\
+
+\begin{flushright}　\hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright}
+
+\hypertarget{calcbyr}{}
+\item[関数]　CalcbyR(変数名,コマンド列，option)
+\item[機能]　Rのコマンドを実行して結果を返す
+\item[説明]　バッチファイル kc.bat / シェルファイル kc.sh を利用してRとデータをやり取りし，計算結果を取得する。\\
+　\\
+例：Rを用いて標準正規分布から10個の乱数を発生し，平均値と標準偏差を求めてコンソールに表示する。
+\begin{verbatim}
+　　cmdL=[ "=rnorm",[10] ];
+　　CalcbyR("dt",cmdL);
+　　nx=length(dt);
+　　mx=sum(dt)/nx;
+　　sx=sqrt(dt*dt/nx-mx^2);
+　　println("データ："+dt);
+　　println("平均："+format(mx,4)+"　　標準偏差："+format(sx,4));
+\end{verbatim}
+１行目の　cmdL=[ "=rnorm",[10] ]　で，標準正規分布から10個の乱数を発生するコマンド列を定義。\\
+２行目で，Rで計算した結果がリスト dt に入る。\\
+　\\
+例：Rを用いてN(50,$5^2$)から10個の乱数を発生し，平均と不偏分散もRで計算してその結果をコンソールに表示する。
+\begin{verbatim}
+　　cmdL=[
+　　　  "tmp1=rnorm",[10,50,5],
+　　　  "tmp2=mean",["tmp1"],
+　　　  "tmp3=var",["tmp1"],
+　　　  "=c(tmp1,tmp2,tmp3)",[]
+　　];
+　　CalcbyR("rd",cmdL);
+　　dt=rd_(1..(length(rd)-2));
+　　mx=rd_(-2);
+　　vx=rd_(-1);
+　　println("データ："+dt);
+　　println("平均："+format(mx,4)+"　　不偏分散："+format(vx,4));
+\end{verbatim}
+　CalcbyR()によって，データと平均，不偏分散からなるリストが作成されるので，mxに平均，vxに不偏分散を代入している。\verb|rd_(-1)| は，リスト rd の末尾の要素。\\
+　\\
+例：Ｒでポアソン分布から200個の乱数をとり，標本平均の分布の様子＝分散が小さくなって，正規分布に近づいている様子＝をヒストグラムで見る。
+\begin{verbatim}
+　　cmdL=[
+　　  "tmp1=rpois",[200,5],
+　　  "tmp2=mean",["tmp1"],
+　　  "tmp3=var",["tmp1"],
+　 　 "=c(tmp2,tmp3,tmp1)",[]
+　　];
+　　CalcbyR("rd",cmdL);
+　　dt=rd_(3..length(rd));
+　　nn=length(dt);
+　　mx=rd_1;
+　　vx=rd_2*(nn-1)/nn;
+　　sx=sqrt(vx);
+　　println(dt);
+　　println(["m="+format(mx,4),"v="+format(vx,4)]);
+　　Setscaling(1/5);
+　　Histplot("1",dt,["Breaks=seq(0,14,1)","dr,0.5"]);
+\end{verbatim}
+　\\
+　　　　　\input{Fig/poison01}\\
+　\\
+例：ポアソン分布で乱数を2000個発生させ，10個ずつの平均をＲで計算し，
+\begin{verbatim}
+　　cmdL=[
+　　  "tmp1=rpois",[2000,5],
+　　  "tmp2=c()",[],
+　　  "for(k in 1:200){",[],
+　　  "  tmp=tmp1[(10*(k-1)+1):(10*k)]",[],
+　　  "  tmp2=c(tmp2,mean(tmp))",[],
+　　  "}",[],
+　　  "=tmp2",[]
+　　];
+　　CalcbyR("rd2",cmdL);
+　　Setscaling(1/10);
+　　Histplot("2",rd2);
+\end{verbatim}
+
+\begin{flushright}　\hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright}
+\hypertarget{histplot}{}
+\item[関数]　Histplot(name,data,option)
+\item[機能]　Rを利用してヒストグラムを描く
+\item[説明]　dataはリストにして作成するか，外部ファイルからReadcsv()で読み込む。\\
+階級範囲（ブレークポイント）は，通常スタージェスの公式によるが，オプションで，\\
+　　　"breaks=[0,10,20,30,40,50,60,70,80,90,100]"\\
+などと指定することもできる。\\
+　この他のオプションは\\
+　　"Den=yes/no"：密度の指定（初期値は no）\\
+　　"Rel=yes/no"：相対度数にする/しない（初期値は no）\\
+　\\
+例：csvファイル（datafile.csv）を読み込み，ヒストグラムを作る。Framedata2() と Rulerscale()を併用して，目盛付きの枠の中に表示する。表示枠の対角点A,BはCinderellaの作図ツールで作図しておく。
+\begin{verbatim}
+　　Addax(0);
+　　Setscaling(5);
+　　Setunitlen("0.6mm");
+　　Readcsv("1","datafile.csv",[""]);
+　　Histplot("1",dt1,[""]);
+　　Framedata2("1",[A,B]);
+　　Rulerscale(A,["r",0,100,10],["r",0,15,5]);
+\end{verbatim}
+　　\input{Fig/histgram}\\
+
+２行目と３行目は，データに合わせて縦方向を５倍にし，TeXの単位長を0.6mmにしている。\\
+Den,Rel オプションをyes にしたときは，Setscaling(100)くら　いにするのがよい。\\
+csvファイルが複数のデータからなる場合は，\\
+　　\verb|dt1=apply(rc1,#_1);|
+として，リストの第１要素を取得する。第２要素のヒストグラムであれば  \verb|#_2| とする。\\
+　\\
+\begin{flushright}　\hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright}
+
+\hypertarget{plotdatar}{}
+\item[関数]　PlotdataR(name,式,変数)
+\item[機能]　Rの関数のグラフを描く
+\item[説明]　Cindyscriptの組み込み関数にはない関数のグラフをRを利用して描く。\\
+
+例：平均5, 標準偏差2の正規分布の密度関数と分布関数のグラフを描く。
+\begin{verbatim}
+　　PlotdataR(“1”, “dnorm(x,5,2)”, ”x=[0,10]”);
+　　PlotdataR(“2”, ”pnorm(x,5,2)”, ”x=[0,10]”);
+\end{verbatim}
+
+例：標準正規分布のグラフ上の点とx軸を結んだ線分を描く。\\
+点A,BはCinderellaの作図ツールで作図しておき，点Aをグラフ上のおよその位置に置いてから実行する。
+\begin{verbatim}
+　　PlotdataR("1","dnorm(x)","x=[-5,5]");
+　　Putoncurve("A","grR1",[-3,3]);
+　　Putpoint("B",[A.x,0]);
+　　Listplot("1",[A,B]);
+\end{verbatim}
+２行目の最後の引数の[-3,3]は，その範囲を動かすことを意味する。\\
+Aはグラフ上を動かすことができて，Bはそれに伴って動く。ただし，少し動かす度に バッチ/シェル ファイルを実行するので，煩雑な場合は，Plotdata() の行をコメント化してから点Aを動かしたあと再実行するとよい。\\
+　\\
+例：上と同様で，x軸上の点を自由点Aとし，曲線上にBを置く。
+\begin{verbatim}
+　　PlotdataR("1","dnorm(x)","x=[-5,5]");
+　　PlotdataR("1","dnorm(x)","x=[-5,5]");
+　　A.xy=[A.x,0];
+　　Lineplot("1",[A,A+[0,1]],["nodisp"]);
+　　Putintersect("B","grR1","ln1");
+　　Listplot("1",[A,B]);
+\end{verbatim}
+　\\
+例：前の例のグラフで，ABの左側にShadeをかけ，Shadeの部分の面積を求める。Pの値を表示する位置に，Cinderellaの作図ツールで点Cをとっておく。
+\begin{verbatim}
+　　tmp1=[0.2,0,0,0];
+　　tmp2=Colorcmyk2rgb(tmp1);
+　　Setcolor(tmp1);
+　　Setcolor([0.2,0,0,0]);
+　　Shade(["en1"],["color->"+text(tmp2)]);
+　　Setcolor("black");
+　　PlotdataR("1","dnorm(x)","x=[-5,5]",["Num=100"]);
+　　Putpoint("A",[0,0],[A.x,0]);
+　　Lineplot("1",[A,A+[0,1]],["nodisp"]);
+　　Putintersect("B","grR1","ln1");
+　　Listplot("1",[A,B]);
+　　Listplot("2",[[-5,0],[5,0]],"nodisp");
+　　Enclosing("1",["Invert(grR1)","sg2","sg1"],[B,"notex"]);
+　　tmp=0.5+Integrate("grR1",[0,A.x]);
+　　Expr([A,"s",text(A.x),C,"e","P="+text(tmp)]);
+\end{verbatim}
+　\\
+　　\input{Fig/rshade}\\
+　\\
+Shade() はプロットデータを定義しないので，先に書いておくと塗ってから線を描くので，にじみがなくきれいに仕上がる。（"en1"はEnclosing("1"・・)でできるプロットデータ）\\
+　\\
+\begin{flushright}　\hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright}
+
+\hypertarget{plotdiscr}{}
+\item[関数]　PlotdiscR(name,式,変数)
+\item[機能]　Rを利用して離散型のグラフを描く
+\item[説明]　dbinom （二項分布），dpois（ポアソン分布），dgeom（幾何分布）など離散型確率分布のグラフを描く。\\
+　\\
+例：二項分布のグラフと正規分布のグラフを比較する。
+\begin{verbatim}
+　　Setscaling(20);
+　　PlotdiscR("1","dbinom(k,10,0.4)","k=[0,10]");
+　　PlotdataR("1","dnorm(x,10*0.4,sqrt(10*0.4*0.6))","x=[0,10]",["do"]);
+\end{verbatim}
+　\\
+　　\input{Fig/binvsnormal}\\
+　\\
+関数部分が長くなるときは，Assign()を利用して次のように書くこともできる。
+\begin{verbatim}
+　　tmp="dnorm(x,n*p,sqrt(n*p*(1-p)))";
+　　tmp=Assign(tmp,["n",10,"p",0.4]);
+　　PlotdataR("2",tmp,"x=[0,10]",["do"]);
+\end{verbatim}
+
+次は，ポアソン分布および幾何分布のグラフ。
+\begin{verbatim}
+PlotdiscR("2","dpois(k,4)","k=[0,10]");
+PlotdiscR("3","dgeom(k,0.3)","k=[0,10]");
+\end{verbatim}
+　\\
+\begin{flushright}　\hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright}
+
+\hypertarget{readcsv}{}
+\item[関数]　Readcsv(name,filename,option)
+\item[機能]　Rを利用してcsvファイルを読む。
+\item[説明]　Rを使ってcsvファイルを読み，KeTCindyに引き渡す。\\
+利用例は Boxplot() などの例を参照のこと。\\
+　\\
+
+\hypertarget{scatterplot}{}
+\item[関数]　Scatterplot(name,filename,option)
+\item[機能]　２次元データを読み込み，散布図を描く
+\item[説明]　外部ファイル filename（csv形式）を読み，散布図を描く。\\
+オプションは　"Reg=no" : 回帰直線を描くかどうか（yes/no) 初期値は yes\\
+　　　　　　　　A, B　表示枠の対角点（左下と右上の点）（Cinderellaで作図）\\
+　　　　　　　　C　　相関係数と回帰直線の式を表示する点\\
+　　　　　　　"Size=n"  ：点の大きさ。Cinderellaの描画面には反映されない。\\
+　　　　　　　　　　　描画面の点も大きくする場合は，"size-$>$n"オプションを追加する。\\
+例：data.csv を読んで散布図を描き，回帰直線を引く。
+\begin{verbatim}
+　　Scatterplot("1","data.csv",["Reg=yes",A,B,C,"Size=5"]);
+　　Rulerscale(A,["r",0,10,1],["r",1,10,1]);
+\end{verbatim}
+　optionの点A,BはCinderellaの作図ツールでとった表示領域の対角点。（ Aが左下。なお，対角点の名称はA,Bには限らない。）\\
+　回帰直線を描く場合("Reg=yes")は，回帰直線が枠からはみ出すので，AをSW，BをNEに一致させるとよい。\\
+　Cは相関係数と回帰直線の式を表示する点としてCinderellaの作図ツールで取る。これも，名称はＣには限らない。\\
+　　　\verb|Rulerscale(A,["r",0,10,1],["r",1,10,1]);|\\
+ で表示枠に目盛を打っている。"r" は等幅，"f"は Tickmark  と同じ指定。\\
+　\\
+　　　　　\input{Fig/scatter}\\
+\end{description}
+\newpage
+
+%　Maximaとの連携　==================================
+\subsection{Maximaとの連携}
+Maximaは数式処理ソフトで，KeTCindyにおいては微積分の計算など，Cindyscriptでは不十分な点を補うことができる。\\
+　KeTCindyでは，kc.bat/shによってコマンドをMaximaに渡し，結果をテキストファイルで受け取る。このとき，Maximaとのやりとりで，次のようなファイルが作業ディレクトリに作成される。\\
+拡張子 max ：Maxima用のファイル\\
+拡張子 txt：データファイル\\
+このデータのやり取りに関する次のオプションがある。\\
+　オプションなしまたは，”” のとき\\
+　　i) データファイルがなければ，新しく作る\\
+　　ii) データファイルが既にあればそれを読み込む\\
+　"m"  のとき，強制的にデータファイルを作り直す。\\
+　"r" のとき，すでにあるデータファイルを読み込む。\\ 
+　このとき，ファイルの読み書きで不具合があると，数秒の後「==$>$ file.txt not generated (5 s ) 」のようなエラーメッセージがコンソールに表示される。このような場合は作業ディレクトリの設定などを確認していただきたい。この待ち時間については，Waitオプションで設定することもできる。\\
+
+\begin{description}
+
+\hypertarget{calcbyM}{}
+\item[関数]　CalcbyM(name，コマンド，option)
+\item[機能]　Maximaのスクリプトを実行する
+\item[説明]　第２引数はMaximaで実行するコマンド。\\
+　コマンドと引数リストの繰り返しからなるリスト（例えばcmdL）を作って，一度に実行する。\\
+　戻り値はない。（未定義値）　結果は，コマンドリストの最後に記述した変数（引数は空リスト）の値がname で指定された変数に代入される。複数の結果を戻すときは，:: で区切って記述するとリストにして代入される。\\
+　\\
+例：$\sin x$ とその導関数を表示する。結果は 変数 fdf に f とdf のリストが代入される。
+\begin{verbatim}
+　　cmdL=[
+　　　"f:sin(x)", [],
+　　　"df:diff",["sin(x)","x"],
+　　　"f::df",[]
+　　];
+　　CalcbyM("fdf",cmdL);
+　　println(fdf);
+\end{verbatim}
+　\\
+　実行すると，コンソールに，[sin(x),cos(x)]  と表示される。\\
+　\\
+例：２次方程式 $x^2-x-4=0$の解を求める。
+\begin{verbatim}
+　　cmdL=[
+　　  "ans:solve",["x^2-x-4","x"],
+　　  "ans",[]
+　　];
+　　CalcbyM("ans",cmdL);
+　　println("ans="+ans);
+\end{verbatim}
+　コンソールには\\
+　　ans=[x = -(sqrt(17)-1)/2,x = (sqrt(17)+1)/2] \\
+　が表示される。\\
+　\\
+{\bf 応用例１：曲線の接線を引く}\\
+　\\
+　$f(x)=\dfrac{e^x+e^{-x}}{2}$ の，$x=a$における接線の方程式を作る。\\
+Maximaでその処理を行うコマンドを定義し，CalbyMで実行する。
+\begin{verbatim}
+　　fx="(exp(x)+exp(-x))/2";
+　　cmdL=[
+　　  "df:diff",[fx,"x"],
+　　  "c:ev",["df","x=a"],
+　　  "b:ev",[fx,"x=a"],
+　　  "eq:c*(x-a)+b",[],
+ 　　 "eq",[]
+　　];
+　　CalcbyM("tn1",cmdL);
+　　println(tn1);
+\end{verbatim}
+　コンソールには
+\begin{verbatim}
+　　(%e^a-%e^-a)*(x-a))/2+(%e^a+%e^-a)/2 
+\end{verbatim}
+が表示される。\\
+　この，CalbyMの戻り値 tn1 を用いて，曲線上の１点Aにおける接線のグラフを描く。以下のスクリプトを追加する。なお，点AをCinderellaの作図ツールで適当なところにとっておく。
+\begin{verbatim}
+　　tn1=Assign(tn1,["%e^a","exp(a)","%e^-a","exp(-a)"]);
+　　Plotdata("1",fx,"x");
+　　Putoncurve("A","gr1");
+　　tmp=Assign(tn1,["a",A.x]);
+　　plotdata("2",tmp,"x",["Num=2"]);
+\end{verbatim}
+１行目ではMaximaで作成した式を，Cindyscriptでプロットできる式にしている。\\
+　\\
+　　　　　　\input{Fig/maxfun01}\\
+　\\
+　なお，接線の方程式を求めるだけであれば，Mxfun()を使うこともできる。Mxfun()の解説を参照のこと。\\
+　\\
+{\bf 応用例２：パラメトリックの場合の接線}\\
+　\\
+　媒介変数の値を決めるために，点AをCinderellaの描画面のx軸上にとっておき，その$x$座標を媒介変数$t$の値とする。スライダを作ってもよい。
+\begin{verbatim}
+　　fn="3*cos(t)^2*[cos(t),sin(t)]";
+　　cmdL=[
+　　  "f:",[fn],
+　　  "df:diff",["f","t"],
+　　  "df:trigsimp",["df"],
+　　  "tn:f+s*df",[],
+　　  "tn",[]
+　　];
+　　CalcbyM("tn2",cmdL);
+　　Paramplot("1",fn,"t=[0,2*pi]",["Num=100"]);
+　　gn=Assign(tn2,["t",A.x]);
+　　Paramplot("2",gn,"s=[-3,3]");
+\end{verbatim}
+　\\
+　　　　　　\input{Fig/maxfun02}\\
+　\\
+　cmdLで定義しているMaximaのコマンド（trigsimp など）については，Maximaの解説書などを参照されたい。\\
+　\\
+\hypertarget{example}{}
+\item[関数]　Example("Mxfun",文字)
+\item[機能]　Mxfunの使用例を表示。文字は "a"，"b"，など。
+\item[説明]　たとえば，\verb|Example("Mxfun","a")| とすると，Mxfunの使用例がコンソールに表示される。\\
+　\\
+
+\hypertarget{mxbatch}{}
+\item[関数]　Mxbatch(ファイル名)
+\item[機能]　Maximaのファイルを実行するコマンド作る
+\item[説明]　Dirlibで指定されたフォルダの中の maximaL フォルダにあるファイルを実行するための，CalcbyM用のコマンドを作成する。\\
+例：\verb|cmd=Mxbatch("fourier_sec")|\\
+　を実行すると，cmdに\\
+　　\verb|[batch,["/Applications/ketcindy/ketlib/maximaL/fourier_sec.max"]] |\\
+　が代入される。そこで，\\
+　　\verb|CalcbyM("ret",cmd,[]);|\\
+　を実行すれば，fourier\_sec.max が実行されて，結果を ret に取得できる。\\
+　fourier\_sec.max に続けて，コマンド列 cmd2 を実行することもでき，その場合は
+\begin{verbatim}
+　　cmdL=Concat(Mxbatch("fourier_sec"),cmd2);
+　　CalcbyM("ret",cmdL,[]);
+\end{verbatim}
+とする。（Concat() はリストを結合するCindyscriptの関数）\\
+　\\
+
+\hypertarget{mxfun}{}
+\item[関数]　Mxfun(name，式，リスト，option)
+\item[機能]　Maximaの関数を実行する
+\item[説明]　第２引数の「式」はMaximaの関数名。第３引数のリストは関数に渡す引数のリスト。\\
+　戻り値は，第１引数の式に１つでも文字があると文字列となる。すべて数字（+,-, . を含む）の場合は
+16桁以下であれば数，それ以上の場合は文字列となる。また，戻り値は，変数 mxname にも代入される。\\
+オプションに "Disp=no" をつけると，結果をコンソールに表示しない。\\
+　\\
+例：$10!$を求める。\\
+　　\verb|Mxfun("1","10!",[],[""]);|\\
+　を実行すると，コンソールに　mx1 is 362880 と表示される。この値は変数 mx1 に代入されているので，\\
+　　\verb|drawtext([0,1],mx1);|\\
+とすればCinderellaの描画面上に表示される。\\
+　また，戻り値を別の変数に代入して使うこともできる。
+\begin{verbatim}
+　　fact10=Mxfun("1","10!",[],[""]);
+　　drawtext([0,1],fact10);
+\end{verbatim}
+　\\
+例：$f(x)=\sin x$ を微分する\\
+　　　\verb|Mxfun("1", "diff",["sin(x)","x"])|\\
+　とすると\\
+　　diff(sin(x),x)\\
+　というコマンドをMaximaに渡して，戻り値をCindyの変数mx1に代入する。\\
+　　　\verb|Mxfun("1", "diff(sin(x),x)",[]])|\\
+　と，第１引数にまとめても同じ結果になる。ただし，この場合，第２引数は空リストとする。\\
+　文字列を引数とする場合，例えば，文字列を連結するコマンドconcatでは，\\
+　　　concat("a","b")\\
+　とするが，Cindyscriptの文字列の処理の関係で，第１引数ではこの形で記述できない。\\
+　したがって，このような場合は，第２引数を使って\\
+　　　\verb|Mxfun("1","concat",["a","b"])|
+　とすればよい。\\
+　\\
+{\bf Cindyscriptの微分との違い}\\
+　Cindyscriptでも微分はできる。たとえば，
+\begin{verbatim}
+　　f(x):=sin(x);
+　　g(x):=d(f(#),x);
+　　plot(g(#));
+\end{verbatim}
+　とすると，cos(x)のグラフが描かれる。\\
+　しかし，Cindyscriptの微分が，微分の定義による数値計算であるのに対し，Maximaでは数式処理として微分ができる。\\
+　その意味の違いは，次のスクリプトで確かめられる。
+\begin{verbatim}
+　　f(x):=sin(x);
+　　g(x):=d(f(#),x);
+　　println(g(x));
+\end{verbatim}
+　では，コンソールに表示されるのは未定義値（\_ \_ \_） である。\\
+一方，
+\begin{verbatim}
+　　Mxfun("1", "diff",["sin(x)","x"]);
+　　println(mx1);
+\end{verbatim}
+では，コンソールに \verb|cos(x)| と表示される。\\
+mx1は文字列であるので，
+\begin{verbatim}
+　　g(x):=parse(mx1);
+\end{verbatim}
+とすれば，g(x)を導関数とすることができ，\verb|plot(g(#))| でグラフを描くことができる。\\
+　また，Cindyscriptの微分では，３階か４階までの導関数が計算上の限度であるのに対し，Maximaなら何階でも微分ができるので，テイラー展開などで有利である。\\
+　\\
+　\\
+例　$\sin x$ の テイラー展開を行い，グラフを表示する。
+\begin{verbatim}
+　　Mxfun("1","taylor",["sin(x)","x",0,7],[""]);
+　　Plotdata("1","sin(x)","x",["da"]);
+　　Plotdata("2",mx1,"x");
+\end{verbatim}
+　\\
+　　　　\input{Fig/taylor}
+　\\
+Mxtex() を用いて，Mxfun()の結果の mx1をTeX書式にして表示することもできる。\\
+　　\verb|Expr([[1,2],"e",Mxtex("1",mx1)]);|\\
+を追加すれば[1,2]の位置に式が表示される。\\
+　\\
+　\\
+{\bf 応用例：接線の方程式を作る}\\
+　\\
+　$f(x)=\dfrac{e^x+e^{-x}}{2}$ の，$x=a$における接線の方程式を作る。\\
+　関数式を文字列にしておき，Assign() を用いて変数$x$を$a$に変えれば，$f(a)$の式を作ることができる。導関数についても同様にする。\\
+\begin{verbatim}
+　　fx="(exp(x)+exp(-x))/2";
+　　gx=Mxfun("1","diff",[fx,"x"]);
+　　fa=Assign(fx,["x","a"]);
+　　ga=Assign(gx,["x","a"]);
+　　tf=ga+"*(x-a)+("+fa+")";
+　　println(tf);
+\end{verbatim}
+　コンソールには
+\begin{verbatim}
+　　(%e^a-%e^-a)/2*(x-a)+((exp(a)+exp(-a))/2) 
+\end{verbatim}
+が表示される。\\
+　\\
+
+\hypertarget{mxtex}{}
+\item[関数]　Mxtex(name,式)
+\item[機能]　式をTeX書式にする
+\item[説明]　第２引数の式は，直接書いた式もしくはMxfunの戻り値。これをTeXの書式にする。\\
+戻り値は，変数 txname にも代入される。\\
+　\\
+例：部分分数への分解
+\begin{spacing}{1.5}
+　部分分数$\dfrac{x^3}{(x+1)(x+2)}$の分解をMaximaで行い，その結果をTeX書式にして画面に表示する。画面に表示された結果はそのままKeTCindyで出力できる。
+\end{spacing}
+
+\begin{verbatim}
+　　Mxfun("1","partfrac",["x^3/((x+1)*(x+2))","x"]);
+　　Mxtex("1",mx1);
+　　Expr([0,1],"e",tx1);
+\end{verbatim}
+　ここで，mx1，tx1はそれぞれMxfun("1",・・) , Mxtex"1",・・) の結果（戻り値）である。mx1，tx1 はコンソールにも表示され，tx1は次のようになっている。
+\begin{verbatim}
+　　\frac{8}{x+2}-\frac{1}{x+1}+x-3 
+\end{verbatim}
+　CindyscriptはTeX書式をサポートしているのでこれで描画面に分数式が表示されるが，Texの文書では，\verb|\frac{}{}| ではなく，\verb|\dfrac{}{}|を使うことが多い。そこで，Assign()を用いて，"frac" を "dfrac" に変えれば，そのままTex文書で使える。ただし，Cindyscriptは \verb|\dfrac{}{}| をサポートしていないので，画面上では分数表記にならない。そのあたりの事情を次のスクリプトで示す。
+\begin{verbatim}
+　　fx="x^3/((x+1)*(x+2))";
+　　pfx=Mxfun("1","partfrac",[fx,"x"]);
+　　form=Mxtex("1",fx)+"="+Mxtex("2",pfx);
+　　dform=Assign(form,["frac","dfrac"]);
+　　Letter([0,5],"e","部分分数への分解　$"+form+"$");
+　　Letter([0,3],"e","部分分数への分解　$"+dform+"$");
+\end{verbatim}
+Cinderellaの描画面では次のように表示される。\\
+　\\
+　　　　\includegraphics[bb=0 0 694 232 , width=8cm]{Fig/mxtex01.png}\\
+　\\
+出力したTeX挿入図では次のようになる。\\
+　\\
+　　\input{Fig/mxtex02}\\
+　\\
+なお，文字列を置換するのに，\verb|Assign(form,["frac","dfrac"])| ではなく，\\
+Cindyscriptの文字列の関数 replace を用いて，\\
+　　　\verb|dform=replace(form,"frac","dfrac");| \\
+としてもよい。\\
+　\\
+例：２次関数のグラフを表示し，$x$軸との交点の$x$座標を表示する。
+\begin{verbatim}
+　　fx="x^2-x-3";
+　　cmdL=[
+　　  "ans:solve",[fx,"x"],
+　　  "ans",[]
+　　];
+　　CalcbyM("ans",cmdL);
+　　p1=indexof(ans,"[");
+　　p2=indexof(ans,",");
+　　p3=indexof(ans,"]");
+　　s1=substring(ans,p1,p2-1);
+　　s2=substring(ans,p2,p3-1);
+　　s1=replace(s1,"x =","");
+　　s2=replace(s2,"x =","");
+　　Mxtex("1",s1);
+　　Mxtex("2",s2);
+　　Plotdata("1",fx,"x");
+　　Expr([-2,-0.5],"e",tx1);
+　　Expr([2,-0.5],"e",tx2);
+\end{verbatim}
+　\\
+　　　　　　　\input{Fig/mxtex03}\\
+　\\
+　ここで，\verb|CalcbyM("ans",cmdL);| で得られるansは，次のような文字列である。\\
+　　　　\verb|"[x = -(sqrt(13)-1)/2,x = (sqrt(13)+1)/2] "|\\
+そこで，ここから２つの式だけを抽出する作業を行ったのち，Mxtex() でTeXの式を得ている。\\
+　さらに応用として，点AをCinderellaの作図ツールで作図し，
+\begin{verbatim}
+　　if(A.y<0,
+　　  fx="(x-"+text(A.x)+")^2"+guess(A.y),
+　　  fx="(x-"+text(A.x)+")^2+"+guess(A.y);
+　　);
+\end{verbatim}
+とすると，点Aを頂点とする放物線と軸との交点の座標が描かれる。Maximaとのデータのやり取りをするためのタイムラグがあるが，インタラクティブに放物線の位置を変えることができる。\\
+　\\
+＜参考＞\\
+　２次関数のような簡単な関数であれば，Cindyscriptの roots() 関数を用いて２次方程式が解けるので，次のスクリプトでほぼ同じ動作をするものを作ることができる。「ほぼ」というのは点Aの位置によっては，guess()で解釈しきれないことがあるためである。Maximaを使えば数式処理で解を求めるので，Aがどこにあってもきれいに表示できる。
+\begin{verbatim}
+　　fx="x^2-2*A.x*x+A.x^2+A.y";
+　　cf=[A.x^2+A.y,-2*A.x,1];
+　　sol=roots(cf);
+　　s1=guess(sol_2);
+　　s2=guess(sol_1);
+　　Mxtex("1",s1);
+　　Mxtex("2",s2);
+　　Plotdata("1",fx,"x");
+　　Expr([-2,-0.5],"e",tx1);
+　　Expr([2,-0.5],"e",tx2);
+\end{verbatim}
+
+\end{description}
+
+\begin{flushright}　\hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright}
+\newpage
+
+
+%　Scilabとの連携　==================================
+\subsection{Scilabとの連携}
+　KeTCindyは，もともと Scilab と連携して，Cinderellaからの出力をTeXのテキストとするシステムである。しかし，それだけでなく，Maximaなどとの連携と同様，Scilab の関数を実行して，データをやりとりすることができる。\\
+　KeTCindyでは，kc.bat/shによってコマンドをScilabに渡し，結果をテキストファイルで受け取る。このとき，Scilabとのやりとりで，次のようなファイルが作業ディレクトリに作成される。\\
+拡張子 sci ：Scilab用のファイル\\
+拡張子 txt：データファイル\\
+このデータのやり取りに関する次のオプションがある。\\
+　オプションなしまたは，”” のとき\\
+　　i) データファイルがなければ，新しく作る\\
+　　ii) データファイルが既にあればそれを読み込む\\
+　"m"  のとき，強制的にデータファイルを作り直す。\\
+　"r" のとき，すでにあるデータファイルを読み込む。\\ 
+　このとき，ファイルの読み書きで不具合があると，数秒の後「==$>$ file.txt not generated (5 s ) 」のようなエラーメッセージがコンソールに表示される。このような場合は作業ディレクトリの設定などを確認していただきたい。この待ち時間については，Waitオプションで設定することもできる。\\
+
+\begin{description}
+
+\hypertarget{calcbyS}{}
+\item[関数]　CalcbyS(name，コマンド，option)
+\item[機能]　Scilabのコマンドスクリプトを実行する
+\item[説明]　第２引数はScilabで実行するコマンドのリスト。\\
+　\\
+\hypertarget{plotdataS}{}
+\item[関数]　PlotdataS(name，関数，変数)
+\item[機能]　Plotdataと同様の書式で，Scilabの関数を実行する
+\item[説明]　Cindyscriptの組込関数にない関数のグラフを描くことができる。\\
+　\\
+例：ベッセル関数のグラフを描く
+\begin{verbatim}
+　　PlotdataS("1","besselj(1,x)","x");
+\end{verbatim}
+
+\end{description}
+\begin{flushright}　\hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright}
+\newpage
+%　Risa/Asirとの連携　==================================
+\subsection{Risa/Asirとの連携}
+
+\begin{description}
+
+\hypertarget{calcbyA}{}
+\item[関数]　CalcbyA(name，コマンド，option)
+\item[機能]　Risa/Asirのスクリプトを実行する
+\item[説明]　第２引数はRisa/Asirで実行するコマンド。\\
+　コマンドと引数リストの繰り返しからなるリスト（例えばcmdL）を作って，一度に実行する。\\
+　戻り値はない。（未定義値）　結果は，コマンドリストの最後に記述した変数（引数は空リスト）の値がname で指定された変数に代入される。複数の結果を戻すときは，:: で区切って記述するとリストにして代入される。\\
+
+\hypertarget{asirfun}{}
+\item[関数]　Asirfun(name，式，リスト，option)
+\item[機能]　Risa/Asirの関数を実行する
+\item[説明]　第２引数の「式」はRisa/Asirの関数名。第３引数のリストは関数に渡す引数のリスト。\\
+　戻り値は，第１引数の式に１つでも文字があると文字列となる。すべて数字（+,-, . を含む）の場合は
+16桁以下であれば数，それ以上の場合は文字列となる。また，戻り値は，変数 asname にも代入される。\\
+オプションに "Disp=no" をつけると，結果をコンソールに表示しない。\\
+
+\end{description}
+\begin{flushright}　\hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright}
+\newpage
+%　FriCASとの連携　==================================
+\subsection{FriCAS(Axiom)との連携}
+
+\begin{description}
+
+\hypertarget{calcbyF}{}
+\item[関数]　CalcbyF(name，コマンド，option)
+\item[機能]　FriCASのスクリプトを実行する
+\item[説明]　第２引数はFriCASで実行するコマンド。\\
+　コマンドと引数リストの繰り返しからなるリスト（例えばcmdL）を作って，一度に実行する。\\
+　戻り値はない。（未定義値）　結果は，コマンドリストの最後に記述した変数（引数は空リスト）の値がname で指定された変数に代入される。複数の結果を戻すときは，:: で区切って記述するとリストにして代入される。\\
+
+\hypertarget{frfun}{}
+\item[関数]　Frfun(name，式，リスト，option)
+\item[機能]　FriCASの関数を実行する
+\item[説明]　第２引数の「式」はFriCASの関数名。第３引数のリストは関数に渡す引数のリスト。\\
+　戻り値は，第１引数の式に１つでも文字があると文字列となる。すべて数字（+,-, . を含む）の場合は
+16桁以下であれば数，それ以上の場合は文字列となる。また，戻り値は，変数 friname にも代入される。\\
+オプションに "Disp=no" をつけると，結果をコンソールに表示しない。\\
+
+\end{description}
+\begin{flushright}　\hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright}
+
+\newpage
+%　表計算ソフトとの連携　==================================
+\subsection{表計算ソフトとの連携}
+　表計算ソフトでは，複数のセルを選択してコピー（Windowsでは Crtl+ C ，Macでは Command+C）すると，セルの内容はtab区切りのテキストデータとしてクリップボードにコピーされる。これをCindyscriptエディタにペーストすることで表計算ソフトのデータをKeTCindyで利用できる。逆に，Cindyscriptのコンソールへの出力を表計算ソフトのシートにコピーすることもできる。
+
+\begin{description}
+\hypertarget{tab2list}{}
+\item[関数]　Tab2list(str，option)
+\item[機能]　str の内容をリストに変換する
+\item[説明]　tab区切りになっている文字列 str をリストに変換する。\\
+　optionは，NULLのセルの置き換え。リストで表す。デフォルトは[0]。\\
+次のような手順で表計算ソフトからデータをKeTCindyに写すことができる。\\
+　\\
+(1) 表計算ソフトで，適当な範囲を指定しクリップボードにコピーする。\\
+　Windowsなら Ctrl+C，Macなら Command+C\\
+　\\
+\includegraphics[bb=0 0 742 308 , width=8cm]{Fig/tab2list01.png}\\
+　\\
+(2) Cindyscriptエディタで，適当な文字変数を用意する。\\
+　たとえば，data="";\\
+　\\
+\includegraphics[bb=0 0 858 298 , width=10cm]{Fig/tab2list02.png}\\
+　\\
+(3) ここにペーストすると，文字列にコピーされる。\\
+　もし，右のようになったら（表計算ソフトによります）左のように，最後の "" の前で改行しておく。\\
+　\\
+\includegraphics[bb=0 0 748 276 , width=6cm]{Fig/tab2list001.png}　\includegraphics[bb=0 0 738 236 , width=6cm]{Fig/tab2list00.png}\\
+
+　\\
+(4) この文字変数 data に対し，Tab2list(data) を実行すると，行列を表すリストが返される。\\
+　これを適当な変数に代入し，作表コマンドで表にするなど，目的に応じて利用する。\\
+　数値だけなら行列として計算もできる。\\
+　\\
+\includegraphics[bb=0 0 1245 457 , width=10cm]{Fig/tab2list03.png}
+
+\hypertarget{dispmat}{}
+\item[関数]　Dispmat(list)
+\item[機能]　リストを行列の形でtab区切りにしてコンソールに表示する。
+\item[説明]　行列を表すリスト （たとえば dlist) を引数としてDispmat(dlist) を実行すると，コンソールに行列型で内容が表示される。\\
+　実際にはTAB区切りの文字列。（println としなくても直接コンソールに表示される）\\
+　これを表計算ソフトのシートにコピーする。\\
+　\\
+\includegraphics[bb=0 0 855 395 , width=8cm]{Fig/tab2list04.png}\
+
+\end{description}
+\newpage
+%　MeshLabとの連携　==================================
+%\subsection{MeshLabとの連携}
+
+%　アニメーション　==================================
+\section{アニメーションPDF：KeTCindymv}
+\subsection{概要}
+アニメーションのできるPDFを作る。
+
+Cinderellaの作図機能とCindyscriptを用いてアニメーションができるが，PDFにすることでCinderellaがなくてもPDFビュアーがあればアニメーションを実行できるので，プレゼンテーションや教材の受け渡しなどに便利である。
+
+KeTCindymvの画面は次のようになっている。（templatemv.cdy）\\
+　\\
+　　\includegraphics[bb=0 0 1594 710 , width=12cm]{Figmv/mvgaiyou01.png}
+
+画面上方のボタンには，次のようなスクリプトが割り当てられているので，ボタンを自作することもできる。
+
+\begin{tabbing}
+　12345678978\=1234567897890123\=\kill
+　Texview  \>： Viewtex(); \>現在の画面のPDFデータを作る\\
+　TexMv 　\>： Texmovie(); \>アニメーションPDFデータを作る\\
+　Texpara　\>： Texpara(); \>フレームに分割したPDFデータを作る\\
+　Exekc　 \>： kc(); \>バッチファイルを実行する
+\end{tabbing}
+
+アニメーションの作成は，フレームを定義する関数を作成し，Moviedata() 関数を実行する。実行後，TexMv，Exekc のボタンを順に押すことで，Fhead+"moviefigs.tex" と Fhead+"moviemain.tex"，Fhead+"moviemain.pdf" が生成されて表示される。たとえば，Fhead が "abc" の場合，TeX の文書には\\
+ 　　　　\verb|\input{abcmoviefigs.tex}|\\
+で動画を挿入することができる。
+
+ただし，動画のできるPDFを作成するには，ドキュメントクラスと使用パッケージについて注意が必要である。
+
+ドキュメントクラスは，article または jarticle とする。jsarticle は使えない。
+
+パッケージは animate に dvipdfmx オプションをつける。\\
+　　　　　　\verb|\usepackage[dvipdfmx]{animate}|
+
+また，アニメーションPDFでアニメーションを行うにはAdobe Acrobat Reader など，アニメーションに対応したPDFリーダーが必要である。WindowsのSumatraPDF，Macの プレビューでは動かない。\\
+
+次に，Texpara，Exekc のボタンを順に押すことで，フレームに分割した Fhead+"parafigs.tex" と Fhead+"paramain.tex" ,Fhead+"paramain.pdf" が生成されて表示される。この図を利用するにはパッケージの指定がやや面倒である。 Fhead+"mvparamain.tex" を参照されたい。 \\
+
+画面下方のスライダによりアニメーションの途中図を描くことができる。Texview と Exekc ボタンによりその図のファイルが作成される。
+
+
+\subsection{設定}
+KeTCindymvでは，KeTCindyと若干異なる設定が必要である。
+
+まず，Initialization スロットでは，KeTCindy で\\
+　　\verb|Shellfile="";|\\
+になっているのを\\
+　　\verb| Shellfile="mv";|\\
+とする。
+
+次に，Draw スロットでは，次のように \verb|Ketinit();| に加え，\verb|Ketinitmv();| が必要である。また，画面表示のために，\verb|Windispg();| のかわりに \verb|Mvdispg();| を用いる。
+\begin{verbatim}
+　Fhead="templatemv";
+　Texparent="";
+　Ketinit();
+　Ketinitmv();
+
+　　ここにスクリプトを書く
+
+　Mvdispg();
+\end{verbatim}
+なお，ひながたの templatemv.cdy ではこの設定がすでにしてある。
+
+\newpage
+\subsection{描画}
+\begin{description}
+
+\hypertarget{moviedata}{}
+\item[関数]　Moviedata(str1,str2,options)
+\item[機能]　アニメーションデータを作る
+\item[説明]　str1 はアニメーションを定義する関数名を文字列とする。str2 は定義域。\\
+　optionsは，Cut と Div \\
+　Cut　：　1秒のフレーム数。初期値は20。\\
+　Civ　：　全体のフレーム数。初期値は80。\\
+　したがって，初期値では4秒間のアニメーションとなる。\\
+　\\
+【例】定円上を動く点Pと，定点Aを結ぶ線分の中点をQとして動きを見る。\\
+まず，定円を，原点中心、半径２として描いておく。\\
+アニメーションを定義する関数は，時間を $t$ とすれば，時刻 $t$ における図（動くものだけ）を定義する。時刻は単なる媒介変数であるので，$t$ でなく $s$ などでもよい。
+\begin{verbatim}
+　Mf(t):=(
+　  pt=2*[cos(t),sin(t)];
+　  Listplot("2",[[4,0],pt]);
+　  Pointdata("2",mid(pt,[4,0]));
+　  Letter([[4,0],"s","A",pt,"en","P",mid(pt,[4,0]),"ne","Q"]);
+　);
+\end{verbatim}
+ここで，\verb|Mf(t)| の中で使っているユーザー定義関数\verb|mid()| は，端点を引数として線分の中点を返すもので，\\
+　　\verb|mid(p1,p2):=(p1+p2)/2;|\\
+として定義しておく。\\
+また，点の大きさを適宜設定しておく。\\
+以上の準備の後，\\
+　　\verb|Moviedata("Mf(t)","t=[0,2*pi]");|\\
+を実行する。\\
+ここでは，角度を媒介変数としているので，時間の$t$ でなく$s$ として\\
+　　\verb|Moviedata("Mf(s)","s=[0,2*pi]");|\\
+としてもよい。\\
+次のようにオプションを指定すると，5秒間のアニメーションとなる。\\
+　　\verb|Moviedata("Mf(s)","s=[0,2*pi]",["Div=50","Cut=10"]);|\\
+\verb|["Div=150","Cut=30"]|とすると，やはり5秒間のアニメーションとなるが，1秒間のフレーム数が多いためなめらかな動きとなる。ビデオのフレームレートである。ただし，ファイルサイズは約３倍となる。\\
+Cinderellaの画面は次のようになる。\\
+　\\
+　　\includegraphics[bb=0 0 1054 706 , width=8cm]{Figmv/moviedata01.png}\\
+　\\
+TexMvボタン または TexParaボタンを押すと画面上でもアニメーションが実行される。その後 Exekc ボタンを押すとファイルが作成される。
+
+この図では，点が明示されるのは Q だけである。A,Pとも点を明示する場合のスクリプトの全体を示しておく。
+\begin{verbatim}
+　Fhead="mid";
+　Texparent="";
+　Ketinit();
+　Ketinitmv();
+　mid(p1,p2):=(p1+p2)/2;
+　Circledata("1",[[0,0],[2,0]]);
+　Ptsize(4);
+　Pointdata("1",[4,0]);
+　Mf(t):=(
+　  pt=2*[cos(t),sin(t)];
+　  Listplot("2",[[4,0],pt]);
+　  Pointdata("2",pt);
+　  Pointdata("3",mid(pt,[4,0]));
+　  Letter([[4,0],"s","A",pt,"en","P",mid(pt,[4,0]),"ne","Q"]);  
+　);
+　Moviedata("Mf(s)","s=[0,2*pi]",["Div=30","Cut=10"]);
+　Mvdispg();
+\end{verbatim}
+\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright}
+
+\end{description}
+
+\newpage
+
+
+%== 3D ===============
+\section{\ketcindy 3D}
+\subsection{概要}
+\ketcindy 3Dの画面は次のように構成される。
+
+Cinderellaの描画面に，白の矩形で囲んだ領域が２つできる。NE,SWを対角とする左側の領域を主画面，右側の領域を副画面という。\\
+
+　　　　　　\includegraphics[bb=0 0 1776 998 , width=8cm]{Fig3d/3dstart.png}\\
+
+主画面は平面の場合と同様，TeXに出力される範囲を示し，NE,SWの２点をドラッグすることにより変更できる。
+
+副画面は，Start3d() 関数により作成される。座標軸は，Xyzax3data() 関数によって描くことができる。主画面の下方のスライダで視点が移動でき，主画面上では軸が回転する。副画面は，xy平面上に視点を置いたものと考えればよい。
+
+主画面上にCinderellaの作図ツールで点や線分を作図すると，Start3d() 関数により副画面に対応する点が作図される。主画面上の点をドラッグするとx,y座標を変更でき，副画面上の点をドラッグするとz座標を変更できる。空間内の点は，Putpoint3d()関数によって座標を指定して作成することもできる。次のような図はCinderellaの作図ツールだけでも作ることができるし，Putpoint3d()関数を用いても作ることができる。\\
+
+　　\includegraphics[bb=0 0 1892 840 , width=10cm]{Fig3d/3dscreen.png}\\
+
+主画面と副画面の対応する点をドラッグすることにより，インタラクティブに図形を描くことができるが、実際には描画関数を用いて図形を描き，スライダで視点を変えて見やすい図をTeXに出力することになるだろう。
+
+KeTCindy3Dでは，点・直線・曲線・面の描画を描画関数を用いて行うことができる。線や面については陰線処理を行い，立体的な図を作成することができる。しかし，陰線処理は処理にかなりの時間がかかるので，CindyscriptではなくScilabで行っているが，それでも相当時間がかかることを覚悟しなければならない。Scilabでの計算は，バッチファイル/シェルファイルで行っているが，Cindyscriptではその計算結果が出るのを待つため一時的に反応がなくなる。したがって，反応がなくなってもハングアップではないので，Cinderellaを強制終了しないように。
+
+一例を示すと，球面をメッシュ入りで座標軸とともに陰線処理して描いた場合，次のような図が画面に表示されるまでの時間は，MacBookPro13' (Late 2013) Core i7 2.8GHz 8GB　（OSX 10.11.6）　の場合で約124秒であった。スクリプトは \hyperlink{wireparadata}{Wireparadata() } の例を参照されたい。\\
+　　　　　　　　　　　　\input{Fig3d/wirepara4}　
+
+\newpage
+\subsection{設定・定義}
+
+\begin{description}
+
+\hypertarget{ketinit3d}{}
+\item[関数]　Ketinit3d()
+\item[機能]　KeTCindy3Dの使用宣言
+\item[説明]　Cinderellaの画面を３Ｄモードにする。\\
+　Cinderellaの描画面に，視点移動のための２つのスライダを作る。スライダは初期位置が左端になる。\\
+　KeTCindyの使用宣言 Ketinit() とともに用いるが，この関数は一度だけ実行すればよいので，通常は Initialization スロットに置く。Ketinit() も，平面の場合と異なり Initialization スロットに置けばよい。ただし，平面の関数を多用する場合は，Ketinit() は Drawスロットに書いておく。場合によって変数の初期化などが必要なためである。KeTCindy3Dにおける変数の初期化などは，Start3d()で行われる。\\
+　\\
+
+\hypertarget{start3d}{}
+\item[関数]　Start3d()
+\item[機能]　３Ｄの画面設定と空間点の認識
+\item[説明]　副画面を作り，幾何点を３Ｄの点として認識する。この関数は必須で，Drawスロットのはじめの方に置く。\\
+　Cinderellaの作図ツールで，点・線分を作図すると，内部関数の Ptseg3data() によってそれらを空間の点として認識し，副画面上に対応する点をとる。ただし，始めはz座標を０とする。点の名前がAであれば，副画面上の点はAzとなる。点をポイントして選択すると副画面の上に座標が表示される。\\
+　作図した点の名称をインスペクタで変更した場合，新しい名称に対応する点を副画面上に作成するが，以前の点は消えないので要注意。たとえば，点Aを作図した後，主画面上の点Aをインスペクタで点Dに変えた場合，副画面上に新たにDzができるが，以前のAzも残る。残ったAzは，選択しておいて作図ツールの消去ボタン \includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/delete.png}で消すことができる。\\
+\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright}
+
+\end{description}
+\newpage
+\subsection{描画}
+\begin{description}
+
+\hypertarget{bezier3d}{}
+\item[関数]　Bezier3d(name,リスト1,リスト2)
+\item[機能]　空間ベジェ曲線を描く
+\item[説明]　引数はリスト1が端点リスト，リスト2が制御点リスト\\
+　１組の端点につき，２つの制御点を使う。\\
+　\\
+【例】いくつかの点をベジェ曲線で結ぶ\\
+　端点A,Bに対し，制御点をD,Eとする。\\
+　　\verb|Bezier3d("1",["A","B"],["D","E"]);| 　\\
+　端点A,Bに対し，制御点をD,Eとし，端点BCに対し制御点をE,Fとする。\\
+　　\verb|Bezier3d("1",["A","B","C"],["D","E","E","F"]);|\\
+　端点A,Bに対し，制御点をD,Eとし，端点BCに対し制御点をF,Gとする。（図）\\
+　　\verb|Bezier3d("1",["A","B","C"],["D","E","F","G"]);|\\
+　　\input{Fig3d/bezier3d1}
+
+\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright}
+
+\hypertarget{changstyle3d}{}
+\item[関数]　Changstyle3d(リスト,リスト)
+\item[機能]　3Dプロットデータの属性を変更
+\item[説明]　第１引数のプロットデータの属性を，第２引数に変更する。\\
+たとえば，補助線など，画面には描いてもTeXに書き出さない線を描画するときは，optionに["notex"] をつけるが，これをあとから付加したい場合に利用する。プロットデータはリストにできるので，複数のプロットデータの属性をまとめて変更することができて便利である。\\
+　\\
+【例】４つの点で四面体の辺を描き，まとめて notex にする。点A,B,C,Dはとってあるものとする。
+\begin{verbatim}
+　Spaceline("1",[A,B]);
+　Spaceline("2",[A,C]);
+　Spaceline("3",[B,C]);
+　Spaceline("4",[A,D]);
+　Spaceline("5",[B,D]);
+　Spaceline("6",[C,D]);
+　edges=apply(1..6,"sl3d"+text(#));
+　Changestyle3d(edges,["notex"]);
+\end{verbatim}
+
+\hypertarget{concatobj}{}　　
+\item[関数]　Concatobj(リスト,option)
+\item[機能]　いくつかのobjデータを結合する
+\item[説明]　多面体の各面の頂点リストから面データ（頂点リストと面リスト）を作る。\\
+　\\
+【例】４点A,B,C,Dを頂点とする四面体を描く。\\
+　四面体は４つの面からなっている。頂点をA,B,C,Dとすると，４つの面は\\
+　　　　　　　△ABC，△ABD，△ACD，△BCD\\
+　である。\\
+　　　　\input{Fig3d/concatobj}\\
+　そこで\\
+　　\verb|Concatobj([[A,B,C],[A,B,D],[A,C,D],[B,C,D]]);|\\
+　とすると，面データ　[[A,B,C,D],[[1,2,3],[1,2,4],[1,3,4],[2,3,4]]] 　が返される。\\
+　この面データを使って四面体を描くことができる。コード例は，\hyperlink{vertexedgeface}{VertexEdgeFace()} を参照のこと。
+
+\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright}
+
+\hypertarget{crvsfparadata}{}
+\item[関数]　Crvsfparadata(name,PD1,PD2,式,options1,options2)
+\item[機能]　曲線の曲面による陰線処理
+\item[説明]　曲線PD1を表示するにあたり，曲面PD2によって隠れる部分を非表示にする。\\
+通常は曲面PD2も表示するので，Sfbdparadata() も同時に用いることになる。曲面を表示しなければ，曲線だけが陰線処理された状態で表示される。\\
+第4引数の式は，PD2を描くための式。\\
+options1 には"r","m", "Wait=n" が指定できる。Wait の初期値は20\\
+　"r","m"に関しては，オプションなしまたは，”” のとき\\
+　　i) データファイルがなければ，新しく作る\\
+　　ii) データファイルが既にあればそれを読み込む\\
+　"m"  のとき，強制的にデータファイルを作り直す。\\
+　"r" のとき，すでにあるデータファイルを読み込む。\\ 
+options2 には 軸の陰線の表示について "nodisp" または線種が指定できる。デフォルトは "nodisp"。\\
+options2だけを指定したい場合は，options1 を空リスト [ ] にする。\\
+　\\
+【例】回転放物面と座標軸，線分を描く。\\
+デフォルトでは陰線は非表示である。（下図左）
+\begin{verbatim}
+　Xyzax3data("","x=[-5,5]","y=[-5,5]","z=[-5,5]");
+　Putpoint3d(["A",[0,-3,0],"B",[0,3,3]],"fix");
+　Spaceline([A,B]);
+　fd=["z=4-(x^2+y^2)","x=R*cos(T)","y=R*sin(T)","R=[0,2]","T=[0,2*pi]","e"];
+　Sfbdparadata("1",fd);
+　Crvsfparadata("1","AB3d","sfbd3d1",fd);
+　Crvsfparadata("2","ax3d","sfbd3d1",fd);
+\end{verbatim}
+options2に線種指定 ["do"] をつけると，陰線は点線で表示される。（下図右）
+\begin{verbatim}
+Sfbdparadata("1",fd,[],["do"]);
+Crvsfparadata("1","AB3d","sfbd3d1",fd,[],["do"]);
+Crvsfparadata("2","ax3d","sfbd3d1",fd,[],["do"]);
+\end{verbatim}
+
+　　　　\input{Fig3d/crvsfparadata1}　　　\input{Fig3d/crvsfparadata2}
+　\\
+\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright}
+
+\hypertarget{datalist}{}　　
+\item[関数]　Datalist2d()
+\item[機能]　画面上のプロットデータのリストを取得する
+\item[説明]　画面に描かれているすべてのプロットデータのリストを返す。\\
+空間図形は，Cinderellaの画面上に射影し表示する。そのため，KeTCindy3Dは，空間におけるプロットデータと，画面上に表示するプロットデータの２つを作っている。Datalist2d()では，画面上に表示するプロットデータのリストを返す。\\
+　\\
+【例】
+\begin{verbatim}
+　Xyzax3data("","x=[-5,5]","y=[-5,5]","z=[-5,5]");
+　Putpoint3d(["A",[0,-3,0],"B",[0,3,3]],"fix");
+　Spaceline([A,B]);
+　println("PD="+Datalist2d());
+\end{verbatim}
+とすると，コンソールに　PD=[ax2d,AB2d] 　と表示される。ax2dは座標軸のプロットデータ ax3d に，AB2d は線分ABのプロットデータ AB3d に対応している。\\
+　\\
+
+\hypertarget{datalist}{}
+\item[関数]　Datalist3d()
+\item[機能]　空間のプロットデータのリストを取得する
+\item[説明]　空間に描かれているすべてのプロットデータのリストを返す\\
+　\\
+【例】
+\begin{verbatim}
+　Xyzax3data("","x=[-5,5]","y=[-5,5]","z=[-5,5]");
+　Putpoint3d(["A",[0,-3,0],"B",[0,3,3]],"fix");
+　Spaceline([A,B]);
+　println("PD="+Datalist3d());
+\end{verbatim}
+とすると，コンソールに　PD=[ax3d,AB3d] 　と表示される。\\
+
+\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright}
+
+\hypertarget{dist3d}{}
+\item[関数]　Dist3d(a1,a2)
+\item[機能]　空間の２点間の距離を返す
+\item[説明]　引数a1,a2 は作図点の名称，空間点の名称のいずれでもよい。\\
+次の３通りの記法は同じ結果を返す。混在も可
+\begin{verbatim}
+　Dist3d("A","B");
+　Dist3d(A,B);
+　Dist3d(A3d,B3d);
+\end{verbatim}
+　\\
+
+\hypertarget{drawpoint3d}{}
+\item[関数]　Drawpoint3d(座標)
+\item[機能]　空間点を描く
+\item[説明]　引数で与えた空間座標の点を描く。この点は幾何点ではない。また，TeX にも出力されない。幾何点にするには \hyperlink{putpoint3d}{Putpoint3d()} と用いる。TeXに点を出力するには，\hyperlink{pointdata}{Pointdata()} または \hyperlink{drwpt}{Drawpoint()} を用いる。\\
+引数は，座標のリストにすることもできる。\\
+　\\
+【例】
+\begin{verbatim}
+　Drawpoint3d([1,1,1]);
+　Drawpoint3d([[1,1,1],[0,1,0]]);
+\end{verbatim}
+　\\
+
+\hypertarget{embed}{}
+\item[関数]　Embed(name,PDリスト,式,変数リスト)
+\item[機能]　２Ｄ図形の空間内平面へ埋め込む
+\item[説明]　第２引数は２Ｄの図形のプロットデータのリスト，式と変数は平面を記述する式と変数。平面は原点$vo$と２つの基本ベクトル $\overrightarrow{vx}，\overrightarrow{vy}$を用いて，$vo+x \cdot \overrightarrow{vx}+y \cdot \overrightarrow{vy}$ の形で表すことができる。変数（基本ベクトルの係数）は$x,y$ でなく，$s,t$ でもよい。式，変数リストともに文字列にする。また，基本ベクトルは直交していなくてもよいし，長さが異なってもよいが，縦横同じスケールの直交座標系にするのがわかりやすいだろう。\\
+　\\
+【例】正三角形と外接円を空間内の平面に埋め込む
+\begin{verbatim}
+　Xyzax3data("","x=[-5,4]","y=[-10,4]","z=[-5,5]",["a","O"]);
+　Spaceline("1",[[3,0,0],[3,6,0],[3,6,6],[3,0,6],[3,0,0]]);
+　Defvar("vo=[3,3,3]");
+　Defvar("vx=[0,1,0]");
+　Defvar("vy=[0,0,1]");
+　Putpoint3d(["A",[3,3,3]],"fix");
+　Circledata("1",[[0,0],[2,0]],["nodisp"]);
+　Listplot("1",[[0,2],[-sqrt(3),-1],[sqrt(3),-1],[0,2]],["nodisp"]);
+　Embed("1",["cr1","sg1"],"vo+x*vx+y*vy","[x,y]");
+　Ptsize(3);
+　Drawpoint(A);
+\end{verbatim}
+ 　　　　\input{Fig3d/embed01}
+
+　ここで，Embed()で引き渡す vo,vx,vy については，Scilabでの変数定義が必要なので（KeTCindyでは行わない）Defvar() によって定義をしている。
+原点，基本ベクトルを，点を作図して次のようにすることもできる。この場合は Defvar() は不要。
+\begin{verbatim}
+　Putpoint3d(["A",[3,3,3],"B",[0,1,0],"C",[0,0,1]],"fix");
+　Embed("1",["cr1","sg1"],"A3d+x*B3d+y*C3d","[x,y]");
+\end{verbatim}
+　　　　　　　　\includegraphics[bb=0 0 954 766 , width=6cm]{Fig3d/embed03.png}\\
+
+この場合，点B,Cの座標がそのまま基本ベクトルとなっているが，原点Aに対して描画平面上にはB,Cがないので図がわかりにくい。図をわかりやすくするならば次のようにする。
+\begin{verbatim}
+　Putpoint3d(["A",[3,3,3],"B",[3,4,3],"C",[3,3,4]],"fix");
+　Embed("1",["cr1","sg1"],"A3d+x*(B3d-A3d)+y*(C3d-A3d)","[x,y]");
+\end{verbatim}
+
+　また，平面を記述するのに，平面の原点と法線ベクトルを用いて Perpplane() を用いると，基本ベクトルが生成されるので、これを利用することができる。次のスクリプトでは，Skeletonparadata() を用いて陰線処理もしている。
+\begin{verbatim}
+　Xyzax3data("","x=[-5,5]","y=[-8,5]","z=[-5,5]");
+　Putpoint3d(["O",[0,0,0],"P",[1,1,2]],"fix");
+　Perpplane("E-F","P",P3d-O3d,"put");
+　vec1=3*(E3d-P3d);
+　vec2=3*(F3d-P3d);
+　Putpoint3d(["A",P3d+vec1+vec2],"fix");
+　Putpoint3d(["B",P3d+vec1-vec2],"fix");
+　Putpoint3d(["C",P3d-vec1-vec2],"fix");
+　Putpoint3d(["D",P3d-vec1+vec2],"fix");
+　Spaceline([A,B,C,D,A]);
+　Circledata("1",[[0,0],[2,0]],["nodisp"]);
+　Listplot("1",[[0,2],[-sqrt(3),-1],[sqrt(3),-1],[0,2]],["nodisp"]);
+　Embed("1",["cr1","sg1"],"P3d+x*(E3d-P3d)+y*(F3d-P3d)","[x,y]");
+　Ptsize(3);
+　Drawpoint(P);
+　Skeletonparadata("1");
+\end{verbatim}
+ 　　　　\input{Fig3d/embed02}
+
+\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright}
+
+
+\hypertarget{intersectcrvsf}{}
+\item[関数]　Intersectcrvsf(name,PD，式)
+\item[機能]　曲線と曲面の交点の座標を求める
+\item[説明]　PDは曲線のプロットデータ。式は曲面の式。\\
+　\\
+【例】回転放物面と線分の交点の座標を表示する。曲面は表示されていなくてもよい。
+\begin{verbatim}
+Putpoint3d(["A",[0,-3,0],"B",[0,3,2]],"fix");
+Spaceline([A,B]);
+fd=["z=4-(x^2+y^2)","x=R*cos(T)","y=R*sin(T)","R=[0,2]","T=[0,2*pi]","e"];
+println("Intersect="+Intersectcrvsf("1","AB3d",fd));
+\end{verbatim}
+実行すると，コンソールに\\
+　　\verb|Intersect=[[0,-1.91,0.36,1.18],[0,1.57,1.52,1.76]] |
+と表示される。\\
+
+\hypertarget{intersectsgpL}{}
+\item[関数]　IntersectsgpL(点名，線分，面，描画方法)
+\item[機能]　空間の線分と平面の交点を作図する
+\item[説明]　引数の線分は線分の端点を "A-B" の形もしくは座標のリスト形で与える。\\
+　引数の面は，面内の３点を "C-D-E" の形もしくは座標のリストで与える。\\
+　描画方法は，"put" または "draw" で，描画方法を指定しない場合は "draw" と同じ。"draw"では交点が緑の点で表示されるだけで，幾何点はできない。"put" では幾何点を作る。\\
+　\\
+【例】座標のリストで与える記述例\\
+　\verb|IntersectsgpL("P",[p1,p2],[p3,p4,p5],"draw");| \\
+　\\
+【例】立方体を平面で切った図を描く。\\
+　 いろいろな手順が考えられるが，ここでは次の手順で描く。\\
+ (1) 立方体の頂点をとる。１辺の長さをHnとする。\\
+　　ここでは軸上の点はPutaxes3d()でとる。\\
+(2) 切断面を決める点E,F,Gを辺上の自由点としてPutonseg3d()でとる。\\
+(3) E,F,Gを通る平面と，辺AC,DYとの交点をとり，M,Nとする。\\
+(4) 全体を多面体として面データを作って描画する。
+\begin{verbatim}
+　Hn=3;
+　Putaxes3d(Hn);
+　Putpoint3d("A",[Hn,Hn,0],"fix");
+　Putpoint3d("B",[Hn,0,Hn],"fix");
+　Putpoint3d("C",[Hn,Hn,Hn],"fix");
+　Putpoint3d("D",[0,Hn,Hn],"fix");
+　Putonseg3d("E",X,B); 
+　Putonseg3d("F",Z,B); 
+　Putonseg3d("G",Z,D); 
+　IntersectsgpL("M","A-C","E-F-G","put"); 
+　IntersectsgpL("N","D-Y","E-F-G","put"); 
+　phd=Concatobj([[O,X,A,Y],[X,A,M,E],[A,Y,N,M],[Y,N,G,Z,O],
+　　　[O,Z,F,E,X],[Z,F,G],[E,M,N,G,F]]);
+　VertexEdgeFace("1",phd,["Edg=nogeo"]);
+　Nohiddenbyfaces("1","phf3d1"); 
+\end{verbatim}
+Cinderellaの描画面はつぎのようになる。点E,F,Gをドラッグして，適当な位置の断面にできる。ただし，M,Nは辺上にあることが条件である。
+\\
+　\\
+\includegraphics[bb=0 0 1426 654 , width=12cm]{Fig3d/IntersectsgpL0.png}\\
+
+できた図は下図左。これに，次のスクリプトを追加すれば，断面上方の立方体の各辺も点線で描かれる。（下図右）
+\begin{verbatim}
+　Spaceline([E,B,F],["do"]);
+　Spaceline([B,C,M],["do"]);
+　Spaceline([C,D,N],["do"]);
+　Spaceline([D,G],["do"]);
+\end{verbatim}
+\input{Fig3d/IntersectsgpL1}　　　\input{Fig3d/IntersectsgpL2}
+
+\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright}
+
+\hypertarget{invparapt}{}
+\item[関数]　Invparapt(座標，PD)
+\item[機能]　描画面上の座標に対応する曲線上の点の座標を返す
+\item[説明]　Cinderellaの描画面上の座標を与えて，それに対応する曲線上の３次元座標を返す。
+\\
+空間内の曲線を作図すると，曲線の空間内のプロットデータとともに，描画面上に描くためのプロットデータも作られる。これを利用すると，描画面上の位置から曲線上の座標を求めることができる。\\
+　\\
+【例】螺旋と線分を描いたとき，描画面上での交点（空間内の交点ではない）に対応する螺旋上の点の座標を求め部分曲線を描く。\\
+\begin{verbatim}
+　Spaceline("1",[[-1,-1,-1],[1,2,3]]);
+　Spacecurve("1","[2*cos(t),2*sin(t),0.2*t]","t=[0,4*pi]",["do"]);
+　tmp=Intersectcrvs("sl2d1","sc2d1");
+　p1=Invparapt(tmp_1,"sc3d1");
+　p2=Invparapt(tmp_2,"sc3d1");
+　Partcrv3d("1",p1,p2,"sc3d1"); 
+\end{verbatim}
+　　　　　　　　\input{Fig3d/invparapt}\\
+ここで，sl2d1,sc2d1 は線分と螺旋の描画面上での（平面の）プロットデータである。Intersectcrvs() で平面上の交点の座標（複数あるのでリストが返る）を求め，Invparapt() で対応する螺旋上の点の座標を求めて部分曲線を描いている。実際に交わる点での部分曲線ではないことに注意。\\
+　\\
+
+\hypertarget{mkbezierptcrv3d}{}
+\item[関数]　Mkbezierptcrv3d(点リスト)
+\item[機能]　制御点を自動的にとる空間ベジェ曲線
+\item[説明]　リストで与えた点に対し，制御点を自動的に生成してベジェ曲線を描く。\\
+　制御点は，２つの点に対して，その点を端点とする線分上に２つ作られる。これを適宜移動して任意の曲線にすることができる。\hyperlink{bezier3d}{空間ベジェ曲線 Bezier3d()} を参照のこと。\\
+　\\
+【例】\verb|Mkbezierptcrv3d(["A","B","C","D"]);|\\
+　　線分AB上に２点a1p,a2p，線分BC上に２点a2p,a2q，線分CD上に２点a3p,a3qができる。\\
+
+\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright}
+
+\hypertarget{nohiddenbyfaces}{}
+\item[関数]　Nohiddenbyfaces(name,PD1,PD2,option1,option2)
+\item[機能]　面に対し曲線を陰線処理する
+\item[説明]　PD2で与えられた面に対し，曲線PD1の面に隠れている部分を陰線処理する。\\
+引数PD1を省略するとすべての曲線が対象となる。陰線処理された線は初期設定では点線で表される。この線種はoption2で変更できる。たとえば，["da"] とすると破線になる。option1は曲線全体のoptionであるので，option2 だけを指定する場合は，option1 として空リスト[ ] が必要である。\\
+　\\
+【例】座標平面上に正四面体を描き，各軸と正四面体の辺を陰線処理する。（下図左）
+\begin{verbatim}
+Xyzax3data("","x=[-5,5]","y=[-5,5]","z=[-5,4]");
+Putpoint3d("A",2*[-1,-1/sqrt(3),0],"fix");
+Putpoint3d("B",2*[1,-1/sqrt(3),0],"fix");
+Putpoint3d("C",2*[0,sqrt(3)-1/sqrt(3),0],"fix");
+Putpoint3d("D",2*[0,0,sqrt(3)],"fix");
+phd=Concatobj([[A,B,C],[A,B,D],[A,C,D],[B,C,D]]);
+VertexEdgeFace("1",phd,["Edg=nogeo"]);
+Nohiddenbyfaces("1","phf3d1"); 
+\end{verbatim}
+
+　\verb|VertexEdgeFace("1",phd,["Edg=nogeo"]);| によって，辺，頂点，面のプロットデータが作られる。\verb|phf3d1| は，面のプロットデータである。\\
+　ここで，\verb|Nohiddenbyfaces("1","phe3d1","phf3d1",["dr,2"],["da"]); | とすると，座標軸は陰線処理されず，正四面体の辺（\verb|phe3d1|）だけが陰線処理されて破線で描かれる。四面体は太く描かれる。（下図右）\\
+　\\
+　\input{Fig3d/nohiddenbyfaces1}　　　\input{Fig3d/nohiddenbyfaces2}\\
+同様に，\\
+　\verb|Nohiddenbyfaces("1","ax3d","phf3d1",[],["da"]);|\\
+とすれば，座標軸だけが陰線処理されて破線で描かれる。\\
+\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright}
+
+\hypertarget{parapt}{}
+\item[関数]　Parapt(座標)
+\item[機能]　点の投影面での座標
+\item[説明]　引数の空間座標に対応するCinderellaの描画面の座標を返す。\\
+　\\
+【例】\verb|Parapt([2,1,5]);| により，点(2,1,5) が表示されている描画面の座標，たとえば [-0.52,3.27]  が返される。\\
+\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright}
+
+\hypertarget{perpplane}{}
+\item[関数]　Perpplane(点名,点,ベクトル，option)
+\item[機能]　点を通り線分に垂直な平面上に基準点を２つとる
+\item[説明]　引数の点名は，作成する２点で "A-B" の形\\
+　第２引数は通る点の名称または座標\\
+　第３引数は法線ベクトル\\
+　optionは "put"  で，２つの幾何点を作図する。optionがない場合は幾何点は作らず，無名の点のみを表示する。put以外の文字列を書いたときは無効な命令とし，何も作成されない。\\
+　記述例を示すと\\
+　　\verb|Perpplane("A-B","P",[1,1,1],"put");|\\
+　　　　点Pを通り，法線ベクトル(1,1,1)に垂直な平面上に点A,Bをとる。\\
+　　\verb|Perpplane("A-B","P",P3d-O3d);|\\
+　　　　点Pを通り，線分OPに垂直な平面上に点A,Bをとる。\\
+　これらにおいて，PAとPBは垂直で，PA=PB=1 となる。\\
+　\\
+【例】ベクトル $\vec{p}=(1,1,1)$ に垂直で点$(1,1,1)$を通る平面を描く。
+\begin{verbatim}
+　Putaxes3d(2);
+　Putpoint3d(["P",[1,1,1]],"fix");
+　Ptseg3data();
+　Perpplane("E-F","P",P3d-O3d,"put");
+　vec1=2*(E3d-P3d);
+　vec2=2*(F3d-P3d);
+　Putpoint3d(["A",P3d+vec1+vec2],"fix");
+　Putpoint3d(["B",P3d+vec1-vec2],"fix");
+　Putpoint3d(["C",P3d-vec1-vec2],"fix");
+　Putpoint3d(["D",P3d-vec1+vec2],"fix");
+　Spaceline([A,B,C,D,A]);
+　Letter([P,"w","P",A,"ne","A",B,"e","B",C,"ws","C",D,"nw","D",]);
+　Skeletonparadata("1");
+\end{verbatim}
+　　　　　　　　  \input{Fig3d/perpplane}
+\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright}
+　\\
+
+\hypertarget{perppt}{}
+\item[関数]　Perppt(点名，点，点リスト,option)
+\item[機能]　平面に下ろした垂線の足を求める
+\item[説明]　第２引数の点から，第３引数の点リストで決まる平面に下した垂線の足を，第１引数の名前の点とする。\\
+オプションは次の通り。デフォルトは "draw"\\
+　draw：点を打つ。幾何点は作らない\\
+　put ：幾何点を作る\\
+　none：計算だけ行い，点は作図しない。\\
+　\\
+【例】原点から点ABCを通る平面に下した垂線の足Hの座標を求める。\\
+　　\verb|Perppt("H","O","A-B-C","none");| 表示はされない。\\
+　　\verb|Perppt("N","O","A-B-C");| Ｈの位置に緑色の点が表示される。\\
+　　\verb|Perppt("N","O","A-B-C","put");| 幾何点Hが作図される。\\
+　いずれの場合も，Hの座標は変数H3d に代入される\\
+　\\
+作図例
+\begin{verbatim}
+　Xyzax3data("","x=[-5,5]","y=[-5,5]","z=[-5,4]");
+　Putpoint3d("O",[0,0,0],"fix");
+　Putpoint3d("A",[3,0,0],"fix");
+　Putpoint3d("B",[0,3,0],"fix");
+　Putpoint3d("C",[0,0,3],"fix");
+　Perppt("H","O","A-B-C","put");
+　Spaceline([A,B,C,A]);
+　Spaceline([O,H]);
+　Letter([A,"nw","A",B,"ne","B",C,"ne","C",O,"nw","O",H,"ne","H"]);
+\end{verbatim}
+　\\
+　　　　　\input{Fig3d/perppt}
+　\\
+
+\hypertarget{partcrv3d}{}
+\item[関数]　Partcrv3d(name，始点，終点，PD)
+\item[機能]　部分曲線のプロットデータを作成する
+\item[説明]　曲線PDにおいて，始点から終点までのプロットデータを作成する。\\
+始点と終点は，プロットデータの番号もしくは曲線上にとった点の識別名で示す。\\
+
+【例】螺旋を描き，CからDまでの部分を太くする。PutonCurve3d() で螺旋上に点C,Dをとり，ドラッグして適当な位置に移動する。
+\begin{verbatim}
+　Xyzax3data("","x=[-5,5]","y=[-5,5]","z=[-5,4]");
+　Spacecurve("1","[2*cos(t),2*sin(t),0.2*t]","t=[0,4*pi]",["Num=100"]);
+　PutonCurve3d("C","sc3d1");
+　PutonCurve3d("D","sc3d1");
+　Partcrv3d("1",C,D,"sc3d1",["dr,3"]);
+　Letter([C,"n2","C",D,"n2","D"]);
+\end{verbatim}
+　ここで，\verb|"sc3d1"| は，螺旋のプロットデータ，\verb|"part3d1"| は，部分曲線のプロットデータである。\\
+　　　　　　　\input{Fig3d/partcrv3d1}\\
+　\\
+【例】稲妻状の螺旋を点線で描き，その一部を実線にする。位置はプロットデータの番号で示す。小数にすると曲線を分割している線分の途中の位置になる。
+\begin{verbatim}
+Spacecurve("1","[2*cos(t),2*sin(t),0.2*t]","t=[0,4*pi]",["Num=10","do"]);
+Partcrv3d("1",3.3,8.5,"sc3d1");
+\end{verbatim}
+　　　　　　　\input{Fig3d/partcrv3d2}\\
+
+\hypertarget{phparadata}{}
+\item[関数]　Phparadata(name,name2,options)
+\item[機能]　多面体を陰線処理して描く
+\item[説明]　多面体を陰線処理して描く。多面体は面データ（頂点リストと面リスト）を与えて，VertexEdgeFace() でプロットデータを作る。このプロットデータに対し，隠れている面（辺）を非表示にして表示する。第1引数は通常のname，第2引数のname2は，VertexEdgeFace() で与えたnameと同じものとする。\\
+　optionsは，全体の線種（"dr,2"など）と，陰線の線種を"Hidden=線種" で指定できる。デフォルトでは陰線は表示しない。\\
+　\\
+【例】小林・鈴木・三谷による多面体データ  polyhedrons obj  から，s06の切頂二十面体（サッカーボール型）を描く。
+\begin{verbatim}
+　Setdirectory( Dirhead+"/data/polyhedrons_obj");
+　phd=Readobj("s06.obj",["size=3"]);
+　Setdirectory(Dirwork);
+　VertexEdgeFace("s06",phd,["Edg=nogeo"]);
+　Phparadata("1","s06");
+\end{verbatim}
+　VertexEdgeFace() の name は通常の "1" でもよい。その場合は，\verb|Phparadata("1","1");| とするが，わかりにくいので上のようにした。\\
+　実行すると，Cinderellaの描画面は次のように頂点だけが描かれる。\\
+　\\
+　\includegraphics[bb=0 0 1452 730 , width=12cm]{Fig3d/phparadata01.png}\\
+　\\
+「Texview」「Exekc」ボタンを押すと陰線処理したデータがFhead.txt に書き出され，これを用いてFhead.texが作成される。そのため，Exekcボタンを押してから処理が完了するまでにかなり時間がかかる。(下図左)\\
+　なお，もう一度実行すると，こんどは，Fhead.txt ができているために，これを読み込んでCinderellaの画面でも陰線処理された図が描かれる。\\
+　全体の線種と，陰線の線種を\\
+　　\verb|Phparadata("1","s05",["dr,2","Hidden=do"]);|\\
+で指定したのが下図右である。\\
+
+　　\input{Fig3d/phparadata02}　　　　\input{Fig3d/phparadata03}\\
+
+【注意】\\
+　polyhedrons obj のデータを使って，続けて異なる多面体を描きたい場合は注意が必要である。Readobj()だけを変更して別のデータを読めばよさそうであるが，VertexEdgeFace() のname も（したがって，Phparadata()の第2引数も）書き換えないと，前のデータが残っていてうまくいかない。たとえば，上のコードで切頂十二面体を描いた後，正八面体（r02）を描こうとするならば，
+\begin{verbatim}
+　Setdirectory( Dirhead+"/data/polyhedrons_obj");
+　phd=Readobj("r02.obj",["size=3"]);
+　Setdirectory(Dirwork);
+　VertexEdgeFace("2",phd,["Edg=nogeo"]);
+　Phparadata("1","2");
+\end{verbatim}
+　のようにする。\\
+
+\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright}
+
+\hypertarget{projcoordpara}{}
+\item[関数]　Projcoordpara(座標)
+\item[機能]　投影座標を求める
+\item[説明]　空間座標を投影した座標を求める。\\
+　戻り値の第１，第２要素はCinderellaの描画面のx,y座標。第３要素はxy平面に垂直なzの座標で．投影面からの（符号付）距離を表す。\\
+　\\
+【例】\verb|Projcoordpara([3,1,2]);|\\
+　　戻り値は　[-0.65,1.7,3.27] 　となる。\\
+
+
+\hypertarget{putaxes3d}{}
+\item[関数]　Putaxes3d([x,y,z])
+\item[機能]　軸上に幾何点を作る。
+\item[説明]　引数のリスト [x,y,z] に対し，点X(x,0,0) ,Y(0,y,0) , Z(0,0,z) および 原点Oを主画面上にとり，副画面上に対応する点Xz，Yz，Zz，Oz を作る。すでに同じ名称の点がある場合は，指定された位置に移動する。\\
+　引数は，実数にすることもでき，Putaxes3d(a) は，Putaxes3d([a,a,a]) と同じになる。\\
+【例】Putaxes3d(5);　原点と，$x(5,0,0),y(0,5,0),z(0,0,5)$ を作る。\\
+　　Putaxes3d([1,2,3]);　原点と，$x(1,0,0),y(0,2,0),z(0,0,3)$ を作る。\\
+
+\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright}
+
+\hypertarget{putonCurve3d}{}
+\item[関数]　PutonCurve3d(点名，PD)
+\item[機能]　空間曲線上に点をとる
+\item[説明]　プロットデータPDの曲線上に，点名の点をとる。\\
+　とった点は固定点ではなく，曲線上にインシデントとなる。したがって，ドラッグして曲線上を動かすことができる。例は \hyperlink{partcrv3d}{Partcrv3d()} を参照のこと。\\
+　\\
+
+\hypertarget{putonseg3d}{}
+\item[関数]　Putonseg3d(点名，点１，点２)
+\item[機能]　線分上に点を取る
+\item[説明]　点１と点２の中点に，指定された名前の点を取る。点１と点２が線分として結ばれていなくてもよい。とった点は線分にインシデントとなる（線分が描かれていなくても）。点１と点２はリストにすることもできる。\\
+　\\
+【例】AとBの中点に点Cをとる。つぎのいずれでもよい。\\
+　　\verb|Putonseg3d("C",A,B);|\\
+　　\verb|Putonseg3d("C",[A,B]);|\\
+　\\
+
+\hypertarget{putpoint3d}{}
+\item[関数]　Putpoint3d(リスト,option)
+\item[機能]　空間に幾何点を作図する
+\item[説明]　点の名称と座標を与えて点を作図する。複数の点を一度に作図できる。\\
+　optionは，"fix" または "free" (デフォルト)。\\
+　"fix" をつけると，固定点（ドラッグで移動できない点）とする。同じ名称の点がすでに存在する場合は，指定した位置に移動して固定点とする。\\
+　"free" をつけると，自由点（ドラッグで移動できる）とする。同じ名称の点がすでに存在する場合はなにもしない。\\
+　\\
+【例】いくつか記述例を示す。\\
+　　\verb|Putpoint3d(["A",[2,1,3]]);|\\
+　　\verb|Putpoint3d(["A",[1,1,1],"C",[1,0,1]],"fix");|\\
+　　\verb|Putpoint3d(["A",[2,1,3]],"free");|\\
+　\\
+　なお，この関数は幾何点を作るものであり，TeXには出力されない。TeXに点を出力するには，\hyperlink{pointdata}{Pointdata()} または \hyperlink{drwpt}{Drawpoint()}を併用する。\\
+　空間における点の座標は，点名に"3d"を付加した名前の変数に代入される。たとえば，点Aの座標はA3dである。これにより，点の座標を取得できる。
+
+\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright}
+
+\hypertarget{readobj}{}
+\item[関数]　Readobj(ファイル名)
+\item[機能]　objファイルを読み込む．
+\item[説明]　小林・鈴木・三谷による多面体データ　polyhedrons\_obj 　を読み込む。\\
+オプションは ["size=n"]  で，n倍したデータにする。負の数にすると上下が反転される。\\
+データはKeTCindyのdataフォルダの中にある。したがって，次のようなスクリプトを書く。読み込むのは一度だけなので， Draw スロットではなくInitialization スロットに置けばよいが，コードの可読性を高めるには Draw スロットでもよい。
+\begin{verbatim}
+　Setdirectory( Dirhead+"/data/polyhedrons_obj");
+　polydt=Readobj("r02.obj");
+　Setdirectory(Dirwork);
+\end{verbatim}
+これで，r02.obj データが，変数 polydt に代入される。\\
+この多面体データは，頂点リストと面リストからなっているが，頂点リストは座標のリストなので，読み込んで表示するときには，点の名称を v1,v2,・・・ とする。\\
+読み込んだあとの使い方を含めて例を示す。\\
+
+【例】正八面体を描く
+\begin{verbatim}
+　Setdirectory( Dirhead+"/data/polyhedrons_obj");
+　polydt=Readobj("r02.obj",["size=2"]);
+　Setdirectory(Dirwork);
+　VertexEdgeFace("1",polydt,["Edg=nogeo"]);
+　Nohiddenbyfaces("1","phf3d1");
+\end{verbatim}
+　　　\input{Fig3d/readobj}
+
+\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright}
+
+\hypertarget{reflectpoint3d}{}
+\item[関数]　Reflectpoint3d(座標,リスト)
+\item[機能]　点の鏡映点を求める
+\item[説明]　第2引数のタイプにより，点に関する鏡映，直線に関する鏡映，面に関する鏡映のそれぞれの点の座標を返す。\\
+　\\
+【例】点A,B,C,Dを空間にとり，点Aの鏡映点の座標を求める。\\
+　　点Bに関する鏡映点　　　\verb|Reflectpoint3d(A3d,[B3d]);|\\
+　　直線BCに関する鏡映点　\verb|Reflectpoint3d(A3d,[B3d,C3d]);|\\
+　　平面BCDに関する鏡映点　\verb|Reflectpoint3d(A3d,[B3d,C3d,D3d]);|\\
+
+\hypertarget{rotate3pt}{}
+\item[関数]　Rotate3pt(座標,vec,角度,中心点)
+\item[機能]　点を回転する
+\item[説明]　第１引数の座標の点を回転する。vecは回転軸の方向ベクトル。中心点は方向ベクトルの始点。第４引数を省略した場合は原点とする。\\
+　\\
+【例】点Aを(0,-1,0) に置いたときの記述例と結果（戻り値）\\
+　　\verb|Rotate3pt(A3d,[0,0,1],pi/2)|;　　　　　戻り値は [1,0,0]\\
+　　\verb|Rotate3pt(A3d,[0,0,1],pi/2,[1,1,1]);|　戻り値は[3,0,0]\\
+　\\
+
+\hypertarget{rotatedata3d}{}
+\item[関数]　Rotatedata3d(name,PDリスト,vec,角度,options)
+\item[機能]　プロットデータを回転
+\item[説明]　プロットデータを，原点を始点とするベクトルvec 周りに回転する。複数のプロットデータをまとめて回転することができる。\\
+options として，中心点（vecの始点），線種を指定することができる。\\
+　\\
+【例】コード例と結果を示す。
+\begin{verbatim}
+　Xyzax3data("","x=[-5,4]","y=[-5,5]","z=[-5,4]",["a","O"]);
+　Putpoint3d(["A",[0,-2,0],"B",[2,-2,0],"C",[1,-2,2],"D",[1,-2,3]],"fix");
+　Spaceline("1",[A,B,C,A]);
+　Spaceline([C,D]);
+　Rotatedata3d("1",["sl3d1","CD3d"],[0,0,1],pi/2,["dr,2"]);
+　Letter([A,"s","A",B,"w","B",C,"ne","C",D,"ne","D"]);
+\end{verbatim}
+これを\\
+　\verb|Rotatedata3d("1",["sl3d1","CD3d"],[0,0,1],pi/2,[[1,0,0],"dr,2"]);|\\
+とした場合が右図である。\\
+
+　\input{Fig3d/rotatedata3d01}　\input{Fig3d/rotatedata3d02}\\
+
+\hypertarget{sf3data}{}
+\item[関数]　Sf3data(name,リスト,options)
+\item[機能]　陰線処理なしの曲面をワイヤーフレームモデルで描く
+\item[説明]　リストは，関数式と定義域，境界指定をそれぞれ文字列にしたもののリスト。\\
+optionsは，解像度（各変数に対応する分割数）とメッシュの密度（縦横）。\\
+解像度は，"Num=[a,b]" で指定。初期値はa,bとも25\\
+メッシュ密度は，"Wire=[a,b]" で指定。初期値はa,bとも20\\
+境界の指定は"ewsn"で行う。\\
+関数式のパターンはつぎの3通り。\\
+　\\
+(1) $z=f(x,y)$\\
+　【例】：$z=x^2-y^2$を定義域$x=[-2,2],y=[-2,2]$ で描画する。\\
+　　　\verb|Sf3data("1",["z=x^2-y^2","x=[-2,2]","y=[-2,2]"])|;\\
+　　　　　　　\input{Fig3d/saddle1}\\
+　【例】：同じく，解像度をx,yとも10，メッシュの数を縦横とも10にする。\\
+　　　解像度，メッシュ密度とも下げるので粗い描画となる。\\
+　　　\verb|Sf3data("1",["z=x^2-y^2","x=[-2,2]","y=[-2,2]"],|\\
+　　　　　　\verb|["Num=[10,10]","Wire=[10,10]"]);|\\
+　\\
+(2) $z=f(x,y),x=g(R,T),y=h(R,T)$\\
+　　x,y の媒介変数 r,t は大文字にする。\\
+　【例】：次図左\\
+　　　\verb|fd=["z=4-(x^2+y^2)","x=R*cos(T)","y=R*sin(T)","R=[0,2]","T=[0,2*pi]"];|\\
+　　　\verb|Sf3data("1",fd);|\\
+　【例】：次図右\\
+　　　\verb|fd=["z=sin(sqrt(abs(x^2+y^2)))","x=r*cos(t)","y=r*sin(t)",|\\
+　　　　　　　　　\verb|"r=[0,3]","t=[0,2*pi]"];|\\
+　　　\verb|Sf3data("1",fd);|\\
+\\
+　\input{Fig3d/parabola}　　\input{Fig3d/sf3ddata3}\\
+\\
+(3) $x=f(u,v),y=g(u,v),z=h(u,v),$\\
+　この場合，(2)と区別するために，"p" を先頭につけておく。\\
+　【例】球面\\
+　　\verb|fd=["p","x=2*sin(u)*cos(v)","y=2*sin(u)*sin(v)","z=2*cos(u)",|\\
+　　　　　\verb|"u=[0,pi]","v=[0,2*pi]"];|\\
+　　\verb|Sf3data("1",fd);|\\
+
+　　　　　　\input{Fig3d/sf3ddata4}\\
+
+\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright}
+
+\hypertarget{sfbdparadata}{}
+\item[関数]　Sfbdparadata(name,式,options1,options2)
+\item[機能]　空間曲面の陰線処理
+\item[説明]　曲面について陰線処理を行う。
+　曲面の式はSf3data()の場合と同じ。ただし，(2) と(3)のパターンでは式の最後に境界の指定 ewns を明示する必要がある。(3)では境界の指定を" "(中は半角スペース)とする。省略すると不要な境界線が表示されることがある。\\
+options1は，"Wait=n","r","m",線種。Wait の初期値は30。\\
+　"r","m"に関しては，オプションなしまたは，”” のとき\\
+　　i) データファイルがなければ，新しく作る\\
+　　ii) データファイルが既にあればそれを読み込む\\
+　"m"  のとき，強制的にデータファイルを作り直す。\\
+　"r" のとき，すでにあるデータファイルを読み込む。\\ 
+options2は，陰線に関するoptionで，"nodisp" または 線種。"nodisp" にすると陰線は消去されるため，輪郭線だけが描かれることになる（デフォルト）。options2 だけを指定する場合は，options1 を空リストにしてつける必要がある。\\
+
+ \textcolor{red}{【注意】} この処理はScilabで行うが，非常に時間がかかるため，この関数を実行した状態で画面上のスライダを動かしたりしないこと。何か操作を行う場合は，いったん行頭に//を書いてコメント化してから行う。\\
+ 
+【例】サドル面\\
+陰線を消去して表示（デフォルト）（下図左）
+\begin{verbatim}
+　fd=["x=x^2-y^2","x=[-2,2]","y=[-2,2]"];
+　Sfbdparadata("1",fd);
+\end{verbatim}
+全体を実線で太めにして，陰線を点線で表示（下図右）
+\begin{verbatim}
+　fd=["x=x^2-y^2","x=[-2,2]","y=[-2,2]"];
+　Sfbdparadata("1",fd,["dr,2"],["do"]);
+\end{verbatim}
+　　　\input{Fig3d/sfbdpara01}　　\input{Fig3d/sfbdpara02}
+
+【例】放物面\\
+デフォルト（下図左）
+\begin{verbatim}
+　fd=["z=4-(x^2+y^2)","x=R*cos(T)","y=R*sin(T)","R=[0,2]","T=[0,2*pi]","e"];
+　Sfbdparadata("1",fd);
+\end{verbatim}
+陰線を破線で表示（下図右）
+\begin{verbatim}
+　fd=["z=4-(x^2+y^2)","x=R*cos(T)","y=R*sin(T)","R=[0,2]","T=[0,2*pi]","e"];
+　Sfbdparadata("1",fd,[],["da"]);
+\end{verbatim}
+　　　\input{Fig3d/sfbdpara03}　　\input{Fig3d/sfbdpara04
+}
+
+\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright}
+
+\hypertarget{skeletonparadata}{}
+\item[関数]　Skeletonparadata(name,PDリスト,PDリスト,option)
+\item[機能]　陰線処理（スケルトン処理）をおこなう
+\item[説明]　描画されている線と軸について陰線処理をおこなう。\\
+第２引数の線（プロットデータ）が，第３引数の線（プロットデータ）によって隠される部分を消去する。第２，第３引数を省略した場合は，すべての線について，互いの陰線処理をおこなう。optionで消去する部分の長さを指定できる。\\
+　\\
+【例】螺旋と線分，座標軸の陰線処理\\
+次のように螺旋と線分，座標軸を描いておく。
+\begin{verbatim}
+　Xyzax3data("","x=[-5,5]","y=[-5,4]","z=[-5,3]");
+　Putpoint3d(["A",[0,-2,-2]],"fix");
+　Putpoint3d(["B",[-1,1,3]],"fix");
+　Spaceline([A,B]);
+　Spacecurve("1","[2*cos(t),2*sin(t),0.2*t]","t=[0,4*pi]",["Num=100"]);
+\end{verbatim}
+座標軸のプロットデータは ax3d，線分は AB3d，螺旋は sc3d1 である。これに対し，\\
+　\verb|Skeletonparadata("1");|\\
+　　　描画されている線と軸について陰線処理をおこなう。（図左）\\
+　\verb|Skeletonparadata("1",[2]);|\\
+　　　重なった部分の空きを2にする。（図中央）\\
+　\verb|Skeletonparadata("1",["AB3d","ax3d"],["sc3d1"]);|\\
+　　　螺旋によって隠れる部分だけ消去する。（図右）\\
+
+\input{Fig3d/skeletonparadata01}　　\input{Fig3d/skeletonparadata02}
+　　\input{Fig3d/skeletonparadata03}
+
+このほか，\\
+　\verb|Skeletonparadata("1",["AB3d","ax3d"],["sc3d1"],[2]);|\\
+　\verb|Skeletonparadata("1",["AB3d"],["ax3d","sc3d1"]);|\\
+も可能である。
+
+\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright}
+
+\hypertarget{spacecurve}{}
+\item[関数]　Spacecurve(name,式,定義域,options)
+\item[機能]　空間曲線を描く
+\item[説明]　媒介変数で表された曲線を描く。optionは解像度 Num\\
+　\\
+【例】螺旋を描く\\
+　　\verb|Spacecurve("1","[2*cos(t),2*sin(t),0.2*t]","t=[0,4*pi]",["Num=100"]);|\\
+　\\
+　　　　　\input{Fig3d/rasen}\\
+
+\hypertarget{spaceline}{}
+\item[関数]　Spaceline(リスト)
+\item[機能]　折れ線を描く
+\item[説明]　点の名称または座標のリストを与えて折れ線を描く。平面での Listplot() にあたる。\\
+【例】Spaceline("1",[[2,5,1],[4,2,3]]); 　指定された２点を結んだ線分を描く。\\
+　　Spaceline([A,B,C,A]);　作図されている２点A,B,Cを結んだ三角形を描く。\\
+　　options は線種（dr,da,do）\\
+　\\
+
+\hypertarget{translatedata3d}{}
+\item[関数]　Translatedata3d(name,PD,平行移動量)
+\item[機能]　空間プロットデータを平行移動
+\item[説明]　PDで表される図形を，平行移動する。\\
+　\\
+【例】曲線 sc3d1 をy軸方向に２だけ平行移動する。\\
+　　\verb|Translatedata3d("1",["sc3d1"],[0,2,0]);|\\
+　　結果として，もとの曲線と平行移動した曲線の２つが描かれる。\\
+　\\
+【例】多面体の平行移動\\
+　VertexEdgeFace() で描いた多角形はこの関数では平行移動できないので，面データを直接操作して平行移動を行う。\\
+　たとえば，小林・鈴木・三谷による多面体データ  polyhedrons obj  を用いて正八面体を描く場合，次のようにする。$y$軸方向に２だけ平行移動する場合である。\\
+\begin{verbatim}
+　Setdirectory( Dirhead+"/data/polyhedrons_obj");
+　phd=Readobj("r02.obj",["size=2"]);
+　Setdirectory(Dirwork);
+　dn=length(phd_1);
+　repeat(dn,s,phd_1_s=phd_1_s+[0,2,0]);
+　VertexEdgeFace("1",phd,["Edg=nogeo"]);
+\end{verbatim}
+　　　\input{Fig3d/translate01}
+
+\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright}
+
+\hypertarget{translatept3d}{}
+\item[関数]　Translatept3d(座標，平行移動量)
+\item[機能]　空間点を平行移動
+\item[説明]　点を平行移動する。\\
+　\\
+【例】点A(1,0,0) を(-1,1,1)だけ平行移動した点をBとする。点Aの空間座標は A3d で表される。 
+\begin{verbatim}
+　Putpoint3d(["A",[1,0,0]],"fix");
+　pt=Translatept3d(A3d,[-1,1,1]);
+　Putpoint3d(["B",pt],"fix");
+\end{verbatim}
+　\\
+\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright}
+
+\hypertarget{vertexedgeface}{}
+\item[関数]　VertexEdgeFace(面データ,options)
+\item[機能]　多面体の面データを用いて多面体を描く
+\item[説明]　面データは，頂点リストと，面リストからなる。面リストは，各面を構成する頂点を，外側から見て反時計回り（左回り）に並べたリストである。\\
+たとえば，四面体ABCDの面データは，[[A,B,C,D],[[1,2,3],[1,2,4],[1,3,4],[2,3,4]]] となる。\\
+４点A,B,C,Dをとっておき，このリストを引数に与えると，四面体の辺が描かれる。\\
+このとき，option がなければ，Cinderellaの幾何要素として辺が描かれるが，それだけではTeXには書き出されないので注意が必要である。(変数未定義のエラーになる)　TeXに書き出すには，optionとして ["Edg=nogeo"] をつける。このときは各辺は幾何要素にならない。\\
+また，"Pt=free" optionをつけると，頂点は自由点となり，マウスドラッグで動かすことができる。\\
+生成されるプロットデータは，\\
+phv3d：頂点のリスト\\
+phe3d：辺のリスト\\
+phf3d：面リスト\\
+なお，それぞれ末尾にnameが付加される。\\
+　\\
+【例】：正四面体を描く
+\begin{verbatim}
+　Putpoint3d("A",2*[-1,-1/sqrt(3),0],"fix");
+　Putpoint3d("B",2*[1,-1/sqrt(3),0],"fix");
+　Putpoint3d("C",2*[0,sqrt(3)-1/sqrt(3),0],"fix");
+　Putpoint3d("D",2*[0,0,sqrt(3)],"fix");
+　phd=Concatobj([[A,B,C],[A,B,D],[A,C,D],[B,C,D]]);
+　VertexEdgeFace("1",phd,["Edg=nogeo"]);
+\end{verbatim}
+　　　　\input{Fig3d/vertex01}
+
+\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright}
+
+\hypertarget{wireparadata}{}
+\item[関数]　Wireparadata(name,PD,式,整数,整数,optons1,options2)
+\item[機能]　曲面のワイヤフレームを陰線処理して描く
+\item[説明]　PDは，第３引数の式で描いたワイヤフレームモデルのプロットデータ名。第４，第５引数は分割線の数。\\
+options1 には "r","m","Wait=n" が指定できる。Wait の初期値は30。\\
+　"r","m"に関しては，オプションなしまたは，”” のとき\\
+　　i) データファイルがなければ，新しく作る\\
+　　ii) データファイルが既にあればそれを読み込む\\
+　"m"  のとき，強制的にデータファイルを作り直す。\\
+　"r" のとき，すでにあるデータファイルを読み込む。\\ 
+optons2 には陰線の表示方法について "nodisp" または線種 がある。デフォルトは"nodisp" 。何も指定しないときは，[""] （空文字）を書いておく。\\
+曲面の陰線処理を行うので，Sfbdparadata() とペアで使う。\\
+　\\
+ \textcolor{red}{【注意】} \\
+　この処理はScilabで行うが，Sfbdparadata() とペアで使うために非常に時間がかかる。コンピュータの性能にもよるが２分以上かかこともある。したがって，この関数を実行した状態で画面上のスライダを動かしたりしないこと。何か操作を行う場合は，いったん行頭に//を書いてコメント化してから行う。球面やトーラスのタイプでは，Texview や Exekc ボタンの反応も鈍くなる。Exekc が動作しない（タイムアウト）場合は，kc.sh（Mac） / kc.bat（Windows）を直接起動すれば TeX の図ができる。\\
+　\\ 
+【例】式のタイプ別に例を示す。\\
+　\\
+サドル面：下図左
+\begin{verbatim}
+　fd=["z=x^2-y^2","x=[-2,2]","y=[-2,2]"];
+　Sfbdparadata("1",fd);
+　Wireparadata("1","sfbd3d1",fd,4,5,[""]);
+\end{verbatim}
+　\\
+回転放物面：下図中央
+\begin{verbatim}
+　fd=["z=4-(x^2+y^2)","x=r*cos(t)","y=r*sin(t)","r=[0,2]","t=[0,2*pi]","e"];
+　Sfbdparadata("1",fd);
+　Wireparadata("1","sfbd3d1",fd,5,7,[""]);
+\end{verbatim}
+　\\
+球面：下図右\\
+　このタイプでは，媒介変数形式の識別のため，先頭に "p" をつけておくとよい。
+\begin{verbatim}
+　fd=["p","x=2*sin(u)*cos(v)","y=2*sin(u)*sin(v)","z=2*cos(u)","u=[0,pi]",
+　　　"v=[0,2*pi]","s"];
+　Sfbdparadata("1",fd);
+　 Wireparadata("1","sfbd3d1",fd,12,12,[""]); 
+\end{verbatim}
+　\\
+\input{Fig3d/wirepara1}　\input{Fig3d/wirepara2}　\input{Fig3d/wirepara3}\\
+　\\
+【例】球面で座標軸を陰線処理して点線で表す。（次図左）
+\begin{verbatim}
+　fd=["p","x=2*sin(u)*cos(v)","y=2*sin(u)*sin(v)","z=2*cos(u)","u=[0,pi]",
+　　　"v=[0,2*pi]","s"];
+　Sfbdparadata("1",fd);
+　Wireparadata("1","sfbd3d1",fd,12,12,[""]); 
+　Crvsfparadata("1","ax3d","sfbd3d1",fd,[],["do"]);
+\end{verbatim}
+【例】トーラスを描く（次図右）
+\begin{verbatim}
+　fd=["p","x=(2+cos(u))*cos(v)","y=(2+cos(u))*sin(v)","z=sin(u)",
+　　　"u=[0,2*pi]","v=[0,2*pi]","s"];
+　Sfbdparadata("1",fd);
+　Wireparadata("1","sfbd3d1",fd,12,12,[""]); 
+\end{verbatim}
+　\\
+　　\input{Fig3d/wirepara4}　　\input{Fig3d/wirepara5}\\
+
+\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright}
+　\\
+\hypertarget{xyzax3data}{}
+\item[関数]　Xyzax3data(name，ｘの範囲，yの範囲，zの範囲,options)
+\item[機能]　座標軸を描く
+\item[説明]　描画面に座標軸を描く。nameは空文字列でよい。プロットデータ ax3d  が作成される。option は次の2つ。\\
+矢じり："an"：nは数字で矢じりの大きさ。nはなくてもよい。\\
+原点O："Onesw"：neswは微小位置。数字も付けられる。neswをつけない場合の初期値はsw。\\
+【例】デフォルトの座標軸\\
+　　　　\verb|Xyzax3data("","x=[-5,5]","y=[-5,5]","z=[-5,5]");|\\
+　　　矢じりをつける\\
+　　　　\verb|Xyzax3data("","x=[-5,5]","y=[-5,5]","z=[-5,5]","a");|\\
+　　　矢じりを大きくする\\
+　　　　\verb|Xyzax3data("","x=[-5,5]","y=[-5,5]","z=[-5,5]",["a2"]);|\\
+　　　原点のOを表示する。\\
+　　　　\verb|Xyzax3data("","x=[-5,5]","y=[-5,5]","z=[-5,5]",["O"]);|\\
+　　　原点のOの位置を調整して右上に表示する。やじりもつける。\\
+　　　　\verb|Xyzax3data("","x=[-5,5]","y=[-5,5]","z=[-5,5]",["a","Oe2n2"]);|\\
+
+【注意】Putaxes3d() で点を取ると原点に点Oが作成される。この点名Oと表示が重複するのが煩わしい場合は，作図後にこのoptionをつけてから出力するとよい。\\
+
+
+\hypertarget{xyzcoord}{}
+\item[関数]　Xyzcoord(P.x,P.y,Pz.y)
+\item[機能]　主副画面で決まる点の座標
+\item[説明]　Cinderellaの描画面上の点が表す空間座標を求める\\
+　点Ｐについて，主画面の点Ｐに対応するのが副画面のPzである。点Pの２次元座標はP.x,P.yで，Pzのy座標はPz.yで表される。これを引数として与えると，点Ｐの空間座標が返される。\\
+　\\
+【例】点Aをドラッグして動かしたとき，Aの座標を求める。\\
+　\verb|println(Xyzcoord(A.x,A.y,Az.y));|\\
+　により，コンソールに座標が表示される。\\
+
+\end{description}
+\newpage
+%　逆引辞典　==================================
+\section{逆引辞典}
+
+幾何の作図は，補助線などはCinderellaの作図ツールかCindyscriptを用いて描き，TeXに出力する線をKeTCindyで描くと，効率のよい作図ができる。
+
+関数のグラフも，Cindyscriptで描くものと，TeXに出力するKeTCindyで描くものを使い分けるとよい。
+
+以下で，【Cinderella】は，Cinderellaの作図ツールを用いた描画，【Cindyscript】はCindyscriptの関数，【KeTCindy】および【KeTCindy3D】はKeTCindyの関数を示す。\\
+
+\subsection{点の作図}
+\subsubsection{点をとる}
+
+\begin{tabbing}
+12\=34567890123456789\=\kill\\
+
+\>【Cinderella】　\>「点を加える」ツール \includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/single-add.png} を用いる\\ 
+ \>【KeTCindy】　　\>Drwpt(点),Drawpoint(点),Pointdata(name,リスト),Putpoint(name,座標),\\
+ \>【KeTCindy3D】\>Drawpoint3d(座標),Putpoint3d(リスト),\\
+\end{tabbing}
+
+点をとる関数はいくつかある。Cinderellaの描画面上に単に点を表示するもの，幾何点を作るもの，TeXに出力するためのもの，と用途が異なる。
+Putpoint(),Putpoint3d()は座標を与えて幾何点を作るが，作図ツールの「点を加える」で作図しておいてスクリプトで座標を指定してもよい。
+
+　\\
+【例】座標(1,1) に点Aをとる。\\
+　　（方法１） 磁石ツール \includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/snap.png} でスナップモードにしておき，作図ツールで点をとる。\\
+　　（方法２）KeTCindyの関数で \verb|Putpoint("A,[1,1])| とする。
+
+（方法１）では，この点は自由点となる。固定点にするには，インスペクタで「ピンで留める」にする。また，点名はCinderellaが自動的につけるので，変更するには，点を選択しておき，インスペクタを開いて「要素の情報」で変更する。
+
+[1,1] のような格子点でない場合は，作図ツールで適当な位置に点をとったのち，Cindyscriptで \verb|A.xy=[2,sqrt(3)]| のようにして座標を指定する。
+
+（方法２）では，この点は固定点となる。自由点とするには \verb|Putpoint("A",[1,1],[A.x,A.y])| とする必要がある。
+
+これらの方法で点を取ったとき，画面上には点が表示されるがTeXの図には出力されない。TeXの図に出力するには，KeTCindyのDrwpt()または，Drawpoint()を用いる必要がある。\\
+
+　以下は，それぞれの関数についての比較表である。「描画」は緑色の点で描画するが幾何点は作らない。\\
+　\\
+　　　　　\input{Fig/poiintable}
+\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright}
+
+\subsubsection{点の大きさを変える}
+
+\begin{tabbing}
+12\=34567890123456\=\kill\\
+
+\>【Cinderella】　\>インスペクタの「表示方法」を使う\\ 
+\>【Cindyscript】　\>A.size=n\\
+ \>【KeTCindy】　\>Ptsize(n)，Setpt(n)\\
+\end{tabbing}
+
+インスペクタ，Cindyscriptによる点の大きさの設定は画面上には反映されるが，TeXには書き出されない。逆に，KeTCindyで設定した点の大きさは，Cinderellaの画面上には反映されない。そのことを考慮の上，適宜使い分ける必要がある。画面上の点の大きさと，TeXの図の点の大きさは連動しないので注意が必要である。
+
+KeTCindyの描画関数を使って点をとるときは，["size=n"]オプションをつけて大きさを設定することもできる。
+
+KeTCindyでは，Drwpt() または Drawpoint() に０オプションをつけることで白抜きの点を描くことができる。ただし，この場合，これよりあとに書かれた線は白で抜いたあとに書かれてしまうので，記述の順番を考慮する必要がある。\\
+\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright}
+
+\subsubsection{曲線上に点をとる}
+
+\begin{tabbing}
+12\=34567890123456789\=\kill\\
+
+\>【Cinderella】　\>「点を加える」ツールを用いる\\ 
+\>【KeTCindy】　　\>PutonCurve(name,PD,初期値)\\
+\>【KeTCindy3d】　\>PutonCurve3d(点名,PD)\\
+\end{tabbing}
+
+Cinderellaの作図ツールで描いた曲線上には，「点を加える」ツールで点をとることで，その点は曲線上だけを動かすことができるようになる（インシデント）。作図ツールで描いた曲線でなければこの方法では曲線上に点は取れない。
+
+Cindyscriptで描いた曲線の場合，たとえば，関数$f(x)$のグラフ上に点を置くには，A.y=[A.x,f(A.x)] のようにすればよい。（あらかじめ点を作図しておく）
+
+KeTCindyのPutonCurve()を使うと，プロットデータを用いて曲線上に点をとることができる。また，
+KeTCindyで直線，線分上に取りたい場合は，PutonLine( )，PutonSeg( )を用いることもできる。\\
+\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright}
+ 
+\subsubsection{交点をとる}
+\begin{tabbing}
+12\=34567890123456789\=\kill\\
+
+\>【Cinderella】　\>「２つの曲線の交点を求める」ツール \includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/intersection.png} を用いる\\ 
+ \>【KeTCindy】　　\>Intersectcrvs(PD,PD), Crosspoint(name,PD,PD,リスト),\\
+  \>　　　　　　　　\> Putintersect(点名,PD,PD)\\
+ \>【KeTCindy3D】　　\>Intersectcrvsf(name,PD,式), IntersectsgpL(点名,線分,面,方法)\\
+\end{tabbing}
+
+Cinderellaの作図機能で作図した幾何要素の交点はCinderellaの「２つの曲線の交点を求める」ツールを用いるのが簡便であるが，関数のグラフや方程式による曲線の場合は，Cinderellaの作図機能は使えないので，KeTCindyの関数を使うことになる。
+
+KeTCindyの関数は３通りあるが，intersectcrvs() は２曲線の交点のリストを取得する関数なので，既存の点を交点に持ってきたい場合は
+\begin{verbatim}
+　　　tmp=Intersectcrvs(gr1, crAB);
+　　　P.xy=tmp_1;
+\end{verbatim}
+のようにすればよい。
+
+Crosspoint()，Putintersect()では交点に新たな幾何点を作ることができる。
+
+Intersectcrvsf() は曲線と曲面の交点， IntersectsgpL() は直線と平面の交点を求める。
+
+\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright}
+
+\subsection{線の作図}
+\subsubsection{線分を引く}
+
+\begin{tabbing}
+12\=34567890123456789\=\kill\\
+
+\>【Cinderella】　\>「線分を加える」ツール \includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/segment.png} を用いる　\\ 
+\>【Cindyscript】　\>draw([A,B])　\\
+ \>【KeTCindy】　　\>Listplot([A,B])　\\
+ \>【KeTCindy3D】　\>Spaceline([A,B])　\\
+\end{tabbing}
+　Cinderellaの描画ツールを使うと，描かれた線分は幾何要素となり，インスペクタでその属性（色・太さなど）を変えることができる。また，点を線分上にインシデントさせることができる。Scilabに出力しない線分を描くときはこれで十分で，スクリプトも簡素になる。\\
+　Cindyscript のdraw関数とKeTCindyのListplot関数では，線の色，太さ，線種を指定できる。また，点の識別名ではなく座標を引数にすることもできる。\\
+　推奨するのは，補助線などはCinderellaの描画ツールで描き，最終的に必要な線だけListplot()で出力する方法。\\
+\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright}
+
+
+\subsubsection{折れ線を描く}
+
+\begin{tabbing}
+12\=34567890123456789\=\kill\\
+
+\>【Cindyscript】　\>connect(点のリスト)\\
+\>【KeTCindy】　　\>Listplot(点のリスト)\\
+\>【KeTCindy3D】  \>Spaceline(点のリスト)\\
+\end{tabbing}
+
+Cinderellaの描画ツールで折れ線を描くのはインタラクティブではあるが本数が多くなると現実的ではない。ただ，描かれた線分は幾何要素となり，インスペクタでその属性（色・太さなど）を変えることができる。折れ線全体の属性を変えるには，すべての折れ線を同時に選択する。（Shift＋クリック）
+
+Cindyscript のconnect() と KeTCindyの Listplot() ,Spaceline()では，引数に点のリストを与えれば折れ線が描ける。
+
+節点を明示した折れ線を描くには，Listplot()とDrawpoint()を組み合わせることが考えられるが，あらかじめ点のリストを作っておくのが簡便である。
+\begin{verbatim}
+　Ptsize(3);
+　pd=[[1,2],[3,4],[6,2]];
+　Pointdata("1",pd);
+　Listplot("1",pd);
+\end{verbatim}
+
+KeTCindy3Dの場合は空間座標で点をTeXに書き出すことができないので，次のように点を作って書き出す。
+\begin{verbatim}
+　Putpoint3d(["A",[2,0,0],"B",[2,0,2],"C",[2,2,2]],"fix");
+　Spaceline([A,B,C]);
+　Ptsize(3);
+　Drawpoint([A,B,C]);
+\end{verbatim}
+節点が多い場合は，空間の点のリストと，投影した点のリストを作って描画する。
+\begin{verbatim}
+　pt=[[2,0,0],[2,0,2],[2,2,2],[0,2,2],[0,4,2],[0,4,4]];
+　pt2d=apply(pt,[Projcoordpara(#)_1,Projcoordpara(#)_2]);
+　Spaceline("1",pt);
+　Ptsize(4);
+　Drawpoint(pt2d);
+\end{verbatim}
+　　　　　　　\input{Gfig/oresenex01}\\
+
+点の名前が必要であれば\\
+　　\verb|pname=apply(1..6,"P"+text(#));|\\
+のようにして，名前リストを作る。\\ 
+\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright}
+
+
+\subsubsection{直線を引く}
+
+\begin{tabbing}
+12\=34567890123456789\=\kill\\
+　\\
+\>【Cinderella】　\>「直線を加える」ツール \includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/multi-add-line.png} を用いる　\\ 
+\>【Cindyscript】　\>draw(join([1,2],[2,-1]))\\
+ \>【KeTCindy】　　\>Lineplot([A,B])　\\
+\end{tabbing}
+　Cinderellaの描画ツールを使うと，描かれた線分は幾何要素となり，インスペクタでその属性（色・太さ・線種など）を変えることができる。また，点を直線上にインシデントさせることができる。Scilabに出力しない直線を描くときはこれで十分で，スクリプトも簡素になる。半直線にしたい場合は，線分を描いて一方の端点を描画領域（SW,NE）の外に出して見かけ上半直線にすればよい。
+
+Cindyscript のdraw関数とKeTCindyのLineplot関数では，線の色，太さ，線種を指定することができる。点の識別名ではなく座標を引数にすることもできる。
+
+TeXへの出力は，Lineplot()に "+" オプションをつけると半直線になる。
+
+KeTCindy3Dには直線を描く関数はないが，線分の外分点を適当にとって線分として描けば，ほとんど直線として扱うことができる。
+\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright}
+
+
+
+\subsubsection{点線や破線を描く}
+
+\begin{tabbing}
+12\=34567890123456789\=\kill\\
+
+\>【Cinderella】　\>インスペクタの「特別な表示方法」で線種を変える　\\ 
+\>【Cindyscript】　\>修飾子 dashtype を使う　\\
+ \>【KeTCindy】　　\>do ,da オプションをつける\\
+ \>【KeTCindy3D】　\>do ,da オプションをつける\\
+\end{tabbing}
+　Cinderellaの描画ツールで引いた線分・直線の線種は，その要素を選んで「Ctrl+i」(Macは ⌘+i) で表示されるインスペクタを用いて，「特別な表示方法」で変えることができる。点線，破線だけでなく，一点鎖線もある。\\
+　Cindyscriptの draw() で引いた線分・半直線は，修飾子を用いて， draw([A,B],dashtype-$>$2) のようにして描く。\\
+　KeTCindyでは，オプションに，["do"] (点線：dotline) ["da"]（破線：dashline）をつける。
+\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright}
+
+
+
+\subsubsection{線の太さを変える}
+\begin{tabbing}
+12\=34567890123456\=\kill\\
+
+\>【Cinderella】　\>インスペクタの「表示方法」を使う\\ 
+\>【Cindyscript】　\>size オプションをつける\\
+ \>【KeTCindy】　　\>Setpen(n)　\\
+\end{tabbing}
+　インスペクタ，Cindyscriptによる点の大きさの設定は画面上には反映されるが，TeXには書き出されない。逆に，KeTCindyで設定した点の大きさは，Cinderellaの画面上には反映されない。そのことを考慮の上，適宜使い分ける必要がある。画面上の点の大きさと，TeXの図の点の大きさは連動しないので注意が必要である。\\
+　KeTCindynの描画関数を使うときは，"size=n" オプションをつけて大きさを設定できるものもある。
+\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright}
+
+
+\subsubsection{垂線を引く}
+
+\begin{tabbing}
+12\=34567890123456789\=\kill\\
+
+\>【Cinderella】　\>「垂線を加える」ツール \includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/multi-add-perp.png} を用いる　\\ 
+\>【Cindyscript】　\>perpendicular(A,a)\\
+ \>【KeTCindy】　　\>作図後，Listplot()で線分を引く\\
+ \>【KeTCindy3D】　\>Perppt()で垂線の足を求めて線分を引く\\
+
+\end{tabbing}
+　Cinderellaの「垂線を描く」ツールを用いて作図するのが簡便だが，何か条件を与えて垂線を引くような場合はCindyscriptを使うことになる。ただし，点と直線（線分）が幾何要素になっていないと垂線は引けない。perpendicular(A,a)　で，Aは点の識別子，aは直線（線分）の識別子。TeXには，適当な図が描けたところでLineplot()もしくはListplot()で出力すればよい。
+
+対象が幾何要素でない場合は，Cindyscriptで方程式を求めて引くことになる。
+
+KeTCindy3D の Perppt() 関数は，ある点から平面に下した垂線の足を求める。Perppt() の項にある例を参照のこと。
+\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright}
+
+
+\subsubsection{平行線を引く}
+
+\begin{tabbing}
+12\=34567890123456\=\kill\\
+
+\>【Cinderella】　\>「平行線を加える」ツール \includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/multi-add-parallel.png} を用いる　\\ 
+\>【Cindyscript】　\>parallel(B,a)\\
+ \>【KeTCindy】　　\>作図後，Listplot()で線分を引く\\
+\end{tabbing}
+　Cinderellaの「平行線を描く」ツールを用いて作図するのが簡便だが，なにか条件を与えて平行線を引くような場合はCindyscriptを使うことになる。ただし，点と直線（線分）が幾何要素になっていないと平行線は引けない。parallel(B,a)　で，Bは点の識別子，aは直線（線分）の識別子。
+
+TeXには，適当な図が描けたところでLineplot()もしくはListplot() で出力すればよい。
+
+対象が幾何要素でない場合は，Cindyscriptで方程式を求めて引くことになる。
+\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright}
+
+\subsection{多角形を描く}
+
+\subsubsection{頂点を与えて多角形を描く}
+
+\begin{tabbing}
+12\=34567890123456789\=\kill\\
+
+ \>【Cinderella】　\>多角形ツール \includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/polygon.png} を用いる　\\ 
+ \>【Cindyscript】　\>drawpoly(点リスト)\\
+ \>【KeTCindy】　　\>Listplot(点リスト)\\
+ \>【KeTCindy3D】　\>Spaceline(点リスト)\\
+\end{tabbing}
+
+　Cinderellaの描画ツールの多角形ツールは，既存の点を結んで多角形を作り色塗りをするもの。色塗りをしないのであれば，単に線分でつないでいく。
+
+　Cindyscriptのdrawpoly() ，およびKeTCindyのListplot(),Spaceline() での点リストは，既存の幾何点でなく座標でもよい。Listplot() ,Spaceline() の点リストが必ず閉じたリスト（[A,B,C,D,A]）でなければならないのに対し，Cindyscriptのdrawplory()では閉じている必要はない。drawpoly([A,B,C,D])でよい。
+\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright}
+
+
+\subsubsection{１辺を与えて正多角形を描く}
+　\\
+　平面上で，与えられた線分ABを１辺とする正多角形を描く。
+
+線分ABは，Cinderellaの作図ツールなどで描かれているものとする。ただし，線分でなく，両端の点が与えられているだけでもよい。点A,Bが複素平面上にあるものとして，多角形の頂点の位置を計算すればよい。
+
+CindyscriptのDrawスロットに，次のスクリプトを書く。(n=5で正五角形を描く)
+\begin{verbatim}
+　n=5;
+　pti=[complex(A),complex(B)];
+　th=2*pi/n;
+　repeat(n-2,s,
+　　z1=pti_s;
+　　z2=pti_(s+1);
+　　z=z2+(z2-z1)*(cos(th)+i*sin(th));
+　　pti=append(pti,z);
+　);
+　pt=apply(pti,gauss(#));
+　pt=append(pt,A.xy);
+　Listplot("1",pt);
+\end{verbatim}
+ptiは，各頂点に対応する複素数のリスト，ptが各頂点の座標のリストである。
+\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright}
+
+
+\subsubsection{接線を引く}
+　\\
+曲線上の点における接線を引く
+\begin{tabbing}
+12\=34567890123456789\=\kill\\
+
+\>【Cinderella】　\>幾何要素の２次曲線の場合，「点の極線を加える」ツール \includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/polar-of-point.png}　　 を用いる\\ 
+\>【Cindyscript】　\>微分して接線の方程式を求めて直線を引く\\
+ \>【KeTCindy】　　\>同上　\\
+\end{tabbing}
+　Cinderellaの作図ツールで描いた２次曲線の場合は，曲線上の点において「点の極線を加える」ツールで接線が引ける。このツールは，初期状態では画面に出ていないので，モードメニューの「直線」から選ぶ。また，「設定」メニューの「上のツールバーをカスタマイズする」で，すべてのツールを表示すれば画面上に出る。
+
+　Cinderellaの作図ツールで描けない曲線の場合は方程式を求めて直線を引くことになる。微分をする関数は，Cindyscriptでは d(関数,変数)，KeTCindyではDerivative(関数, 変数,値) を用いる。\\
+
+例：３次関数 $f(x)=x^3-4x$ 上の点$(1,-3)$における接線を引くCindyscriptとKeTCindyの組み合わせ\\
+　　f(x):=x\verb|^| 3-4*x;\\
+　　g(x0,x):=d(f(\#),x0)*(x-x0)+f(x0);\\
+　　p1=[1,-3];\\
+　　p2=[2,g(1,2)];\\
+　　plotdata("1","x\verb|^| 3-4*x","x");\\
+　　Lineplot("1",[p1,p2]);\\
+　\\
+　このスクリプトでは，g(x0,x)を点$(x_0,f(x_0))$における接線の方程式としている。\\
+　また，接点をインタラクティブに決めるには，２点A,Bを作図しておき\\
+　\\
+　　Deffun("f(x)",["regional(y)","y=x\verb|^|3-4*x","y"]);\\
+　　coef=Derivative("f(x)","x",A.x);\\
+　　A.y=f(A.x);\\
+　　B.y=coef*(B.x-A.x)+A.y;\\
+　　Plotdata("1","f(x)","x");\\
+　　Lineplot([A,B]);\\
+
+　として，接点Aをドラッグして位置決めをすることができる。\\ 
+　\\
+　＜注＞\\
+　　　　Deffun("f(x)",["regional(y)","y=x\verb|^|3-4*x","y"]);\\
+　　は\\
+　　　　f(x):=x\verb|^| 3-4*x;\\
+　　でもよい。\\
+\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright}
+\subsection{円の作図}
+\subsubsection{円を描く}
+
+\begin{tabbing}
+12\=34567890123456789\=\kill\\
+
+\>【Cinderella】　\>「円を加える」ツール \includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/multi-add-circle.png} を用いる\\ 
+\>【Cindyscript】　\>drawcircle([a,b],r)\\
+ \>【KeTCindy】　　\>Circledata([A,B])，Circledata(name,[[a,b],[c,d]])\\
+\end{tabbing}
+　Cinderellaの円を描くツールは３種類あるが，あとでTeXに書き出すならば「円を加える」ツールがよい。中心からドラッグすると円周上に点ができる。この２点を使ってCircledata([A,B]) で書き出すことができる。TeXに書き出す必要がない補助円などであれば，「半径付き円を加える」 \includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/circle-by-radius.png} が簡便。半径を一定にする（円周ドラッグで大きさが変わらないようにする）のであれば，「固定した半径の円を描く」ツールを用いる。Cinderellaの円を描くツールで描いた円は，インスペクタの「特別な表示方法」で線種を設定できる。
+
+Cindyscript では，中心と半径を指定して円を描く。drawcircle([a,b],r) は [a,b] が中心の座標，r が半径（実数）。中心は，Cinderellaの作図ツールでとった点Aを中心とする場合は，drawcircle(A,r)。
+
+KeTCindyのCircledata([A,B])は，中心Aで点Bを通る円を描く。A,Bを座標にする場合は，nameが必要。中心Aで半径rの円を描くのであれば，座標指定になるので，Circledata("1",[A,A+[3,0]]) または Circledata("1",[A.xy,A.xy+[3,0]]) とする。
+\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright}
+
+\subsection{領域を塗る}
+\subsubsection{円の内部を塗る}
+\begin{tabbing}
+12\=34567890123456789\=\kill\\
+
+\>【Cinderella】　\>「円を加える」ツールを用いたのち，インスペクタで設定\\ 
+\>【Cindyscript】　\>fillcircle(A,r)　\\
+ \>【KeTCindy】　　\>Shade(PD)\\
+\end{tabbing}
+　画面上で色を塗るだけならインスペクタの「表示方法」で色塗りをするのが簡便。透明度も設定できる。TeXの図版でも領域を塗るのであれば，Circledata()で円を描いた（プロットデータを作成）のち，Shade()で色を塗る。ここで色指定をすれば画面にも反映される。\\
+\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright}
+
+
+\subsubsection{多角形の内部を塗る}
+
+\begin{tabbing}
+12\=34567890123456789\=\kill\\
+
+\>【Cinderella】　\>「多角形を加える」ツール \includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/polygon.png} を用いる　\\ 
+\>【Cindyscript】　\>fillpoly(点リスト)\\
+ \>【KeTCindy】　　\>Shade(PD)\\
+\end{tabbing}
+　Cinderellaの描画ツールの多角形ツールは，既存の点を結んで多角形を作り色塗りをする。
+
+Cindyscriptでの点リストは，既存の幾何点でなく座標でもよい。点リストは，始点と終点を結ぶので閉じている必要はない。([A,B,C,D])
+
+　TeXに書き出すのであれば Shade()を用いる。\\
+\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright}
+
+
+\subsubsection{曲線で囲まれた領域を塗る}
+\begin{tabbing}
+12\=34567890123456789\=\kill\\
+
+ \>【KeTCindy】　　\>Shade(PD)\\
+\end{tabbing}
+　 Shade()を用いて領域を塗る。Cinderellaの画面にも反映される。\\
+\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright}
+
+
+\subsubsection{領域を斜線で示す}
+
+\begin{tabbing}
+12\=34567890123456\=\kill\\
+ \>【KeTCindy】　　\>Hatchdata(name,方向,PD)\\
+\end{tabbing}
+　 領域を斜線で塗る。Cinderellaの画面にも反映される。Scilabとデータをやり取りしてハッチデータを作るので，バッチファイル（シェルファイル）が裏で実行される。\\\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright}
+
+
+\subsubsection{領域を細かい点で埋める}
+
+\begin{tabbing}
+12\=34567890123456\=\kill\\
+
+ \>【KeTCindy】　　\>Dotfilldata(name,方向,PD)\\
+\end{tabbing}
+　曲線で囲まれた領域を斜線で塗るかわりに細かい点で埋める。 使い方はHatchdata() と同様。\\
+\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright}
+
+
+\subsection{関数のグラフ・曲線}
+
+\subsubsection{関数のグラフを描く}
+\begin{tabbing}
+12\=34567890123456789\=\kill\\
+
+\>【Cindyscript】　\>関数を定義して，plot()で表示する　\\
+ \>【KeTCindy】　　\>（関数を定義して）Plotdata()で表示する　\\
+\end{tabbing}
+
+　Cindyscriptでは，f(x):=式 の書式で関数を定義し，plot(fx)) でグラフを描くことができる。関数は，if関数による場合分けも可能。また，この関数概念は数学関数ではなく， プログラミングにおける関数なので，一連の操作を関数として定義して実行することもできる。\\
+　KeTCindyでは，Deffun() で関数を定義して，Plotdata()でグラフを描く。Deffunでは，if文による条件分岐も可能だが，ifのネストはできない。\\
+　三角関数などの組み込み関数については，定義は不要で，そのまま plot() もしくは Plotdata()でグラフを描くことができる。ただし，CindyscriptにあってもKeTCindyにはない逆三角関数(arctanなど)はCindyscriptで画面には表示できるがTeXにはできない。\\
+
+\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright}
+
+\subsubsection{媒介変数表示の曲線を描く}
+
+\begin{tabbing}
+12\=34567890123456789\=\kill\\
+
+\>【Cindyscript】　\>plot([f(t),g(t)])\\
+ \>【KeTCindy】　　\>Paramplot(name,式,定義域)　\\
+ \>【KeTCindy3D】  \>Spacecurve(name,式,定義域)　\\
+\end{tabbing}
+　いずれもoptionで線種などの指定ができる。\\
+　平面における曲線で，Timer Tickスロットに書いてアニメーションを行う場合は，Cindyscriptの plot()の方を勧める。シンプルな分，実行速度において有利である。\\
+\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright}
+
+
+\subsubsection{２次曲線を描く}
+　放物線，楕円，双曲線を描く。
+\begin{tabbing}
+12\=34567890123456789\=\kill\\
+
+\>【Cinderella】　\>焦点などを作図してそれぞれの作図ツールを用いる\\ 
+\>【Cindyscript】　\>関数もしくは媒介変数で表してplot()で描く\\
+ \>【KeTCindy】　　\>Plotdata() もしくは Paramplot() ,Parabolaplot() などで描く\\
+\end{tabbing}
+　これらの曲線を描く方法は何通りかある。全体ではなく一部分を描く場合はCinderellaの作図ツールではできないのでplot()または Paramplot()で描く。
+
+　これらの曲線上に点をとり，接線を引いてインタラクティブに動かすような場合は，Cinderellaの作図ツールで描くとよい。点をインシデントにするのが容易であり，接線も簡単に引け，さらにその接線も幾何要素となるので都合がよい。
+
+KeTCindyでは，Plotdata() で媒介変数表示の式を与えるか，Parabolaplot(),Ellipsplot(),Hyperbolaplot() で焦点などを与えて描く。
+
+\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright}
+
+
+\subsubsection{陰関数のグラフを描く}
+
+\begin{tabbing}
+12\=34567890123456\=\kill\\
+
+ \>【KeTCindy】　　\>Implicitplot()\\
+\end{tabbing}
+　陰関数で与えられた曲線を描く方法はCinderella，Cindyscriptにはない。
+\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright}
+
+
+\subsubsection{プロットデータを自作して表示する}
+　\\
+　組み込み関数にない関数などを使ってプロットデータを自作して表示するには，Cindyscriptで作成したプロットデータをListplot() または AddGraph()に渡して描画する。それぞれの項の例を参照のこと。
+
+\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright}
+
+\subsection{その他}
+
+\subsubsection{幾何要素を非表示にする}
+描いた点や線を非表示にする。
+\begin{tabbing}
+12\=34567890123456\=\kill\\
+
+\>【Cinderella】　\>インスペクタの「表示方法」で「表示する」のチェックを切る　\\ 
+\>【Cindyscript】　\>幾何要素のvisibleプロパティをfalseにする　\\
+ \>【KeTCindy】　　\>"notex" または "nodisp" オプションをつける 　\\
+\end{tabbing}
+　インスペクタの表示方法」で「表示する」のチェックを切った場合，「表示」に戻すには，「表示」メニューの「式による表示」を開いて，該当の幾何要素を選択し，インスペクタで「表示する」のチェックをつける。\\
+　幾何要素をCindyscriptで非表示/表示にするには，A.visible=false / true とする。幾何要素ではない関数のグラフなどはインスペクタでは非表示にできない。\\
+　KeTCindy の "notex" オプションはTeXに出力しない。"nodisp"オプションでは，画面にも表示されない。プロットデータを作成するために使う。\\
+\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright}
+
+
+\subsubsection{角に印をつける}
+角に弧または平行四辺形の角の印をつける。
+\begin{tabbing}
+12\=34567890123456\=\kill\\
+
+\>【Cinderella】　\>「角に印をつける」ツール \includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/angle-mark.png} を用いる（弧の形状のみ）\\ 
+\>【Cindyscript】　\>なし\\
+ \>【KeTCindy】　　\>Anglemark() , Paramark() を用いる　\\
+\end{tabbing}
+　TeXに出力しないのであれば，「角に印をつける」ツールを用いるのが簡便。ただし，平行四辺形の印はつけられない。\\
+　角に向きを示す矢印を付加する場合は，Anglemark()で描いておき，Arrowhead()で矢じりをつける。\\
+\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright}
+
+
+\subsection{値の取得・変換}
+\subsubsection{角度を測る}
+
+\begin{tabbing}
+12\=34567890123456789\=\kill\\
+
+\>【Cinderella】　\>「角度を測る」ツール \includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/angle.png}を用いる。\\ 
+\>【Cindyscript】　\>arctan2(ベクトル)を用いる\\
+\end{tabbing}
+　Cinderellaの「角度を測る」ツールでは，画面上に角度が表示される。この値をスクリプトで利用するためには，その識別名を用いる。識別名は，表示メニューから「式による表示」で出る幾何要素の一覧表で判断する。識別名がα0であれば，変数α0に角の値が入っていると考えてよい。αは日本語入力モードで「あるふぁ」で入力する。たとえば，drawtext([1,1],α0) とすれば，(1,1) の位置に角度が表示される。このときの角は一般角であり，点をドラッグすると360°以上の角や負の角で表示される。また，表示は度数法で行われるが，処理によっては弧度法での表示となる。\\
+　Cindyscriptで角度を取得するには，arctan2()を用いるのがよい。引数はベクトルで，x軸の正の方向とのなす角を −π 〜 π の範囲で弧度法で返す。角ABCの場合，th=arctan2(C.xy-B.xy)-arctan2(A.xy-B.xy) で取得できる。\\
+\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright}
+
+\subsubsection{２点間の距離を測る}
+
+\begin{tabbing}
+12\=34567890123456\=\kill\\
+
+\>【Cindyscript】　\>dist(A,B) または $|$A,B$|$　\\
+ \>【KeTCindy3D】　\>dist3d(点，点)\\
+\end{tabbing}
+\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright}
+
+\subsubsection{数値を文字に変換する}
+関数の引数に文字列として与えるために数値を文字列に変換したい場合がある。このような場合は，text() 関数を用いる。引数は実数・複素数いずれでも可。\\
+
+subsubsection{小数点の桁数を指定して表示}
+\begin{tabbing}
+12\=34567890123456\=\kill\\
+
+\>【Cinderella】　\>なし　\\ 
+\>【Cindyscript】　\>format()関数を用いる　\\
+ \>【KeTCindy】　　\>Textformat() 関数を用いる\\
+\end{tabbing}
+　Cinderellaでは，小数点以下の桁数は第５位を四捨五入して表示するのがデフォルトである。小数点以下の桁数を指定するには，Cindyscriptでは format()関数，KeTCindydでは Textformat()関数を用いる。Textformat()関数は，リストで与えた数でも処理できる。\\
+\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright}
+
+\subsection{スライダを作る}
+\subsubsection{線分スライダを作る}
+変数の値をインタラクティブに決めるスライダを作る。
+
+まず，Cinderellaの作図ツールで，適当な線分（または直線）と，その上の点をとる。このとき，点が線分上にインシデントになるように，点を線分上にドラッグして線分がハイライトしたときにマウスボタンを離す。
+
+線分をAB，AB上の点をCとして，AとCの距離 $|$A,C$|$ を用いて変数の値を決めればよい。
+
+　　例：x=$|$A,C$|$-5;
+
+整数を取得したい場合は，天井関数ceil()または，床関数 floor()を用いて整数化する。
+
+　　例：n=ceil($|$A,C$|$)
+
+点Cを端点までドラッグした後，さらに点Cをドラッグしようとすると端点も同時に動いてしまうことがある。そこで，端点を選択してインスペクタで「ピンで留める」にチェックを入れておくとよい。
+\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright}
+
+\subsubsection{円形スライダを作る}
+角の値をインタラクティブに決めるスライダを作る。
+
+まず，Cinderellaの作図ツールで，適当な円を描き，その上に点をとる。このとき，点が円周上にインシデントになるように，点を円周上にドラッグして円周がハイライトしたときにマウスボタンを離す。
+
+円の中心をA，円周上の点をBとしたとき，B.angleで角度を取得できる。ただし，戻り値は$0^\circ 〜 360^\circ$ 
+
+arctan2(B.xy-A.xy) で角を取得することもできる。この場合の戻り値は，$-180^\circ 〜 180^\circ$\\
+\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright}
+
+
+
+%　関数一覧　==================================
+\hypertarget{functionlist}{}
+\section{関数一覧}
+\begin{tabbing}
+12345678901234567890123456789012345678\=\kill
+【設定・定義】\\
+\hyperlink{addax}{Addax(0/1)}　\>座標軸を描くかどうかを定める\\
+\hyperlink{addcolor}{Addcolor(com,color)}　\>描画色を設定する\\
+\hyperlink{colorcode}{Colorcode(文字1，文字2,color)}　\>カラーコードの変換\\
+\hyperlink{deffun}{Deffun(関数名 , 定義リスト )}　\>関数を定義する\\
+\hyperlink{definecolor}{Definecolor(色名 , 定義リスト )}　\>ユーザー定義色の設定\\
+\hyperlink{defvar}{Defvar(文字列)} 　\>変数を定義する\\
+\hyperlink{drwxy}{Drwxy()} 　　\>座標軸を先に描く\\
+\hyperlink{fontsize}{Fontsize(記号)}　　　\>フォントサイズを設定する\\
+\hyperlink{ketint}{Ketinit(options)}　　　\>\ketcindy を初期化する\\
+\hyperlink{ptsie}{Ptsize(数)}   　　\>表示する点の大きさを設定する\\
+\hyperlink{setax}{Setax(リスト)}　　\>座標軸の書式を設定する\\
+\hyperlink{setcolor}{Setcolor(color,options)}　　\>Windispgでの描画色を設定する\\
+\hyperlink{setmarklen}{Setmarklen(数)}　\>軸の目盛の長さを設定する\\
+\hyperlink{setorigin}{Setorigin(座標)}　\>表示する座標軸の原点の位置を設定する\\
+\hyperlink{setpen}{Setpen(数)}  　　\>線の太さを設定する\\
+\hyperlink{setpt}{Setpt(数)}    　　　\>表示する点の大きさを設定する\\
+\hyperlink{setscaling}{Setscaling(数)}　　\>縦方向の倍率を設定する\\
+\hyperlink{setunitlen}{Setunitlen(数)}　　\>単位長を設定する\\
+\hyperlink{setwindow}{Setwindow()}　\>描画領域を設定する\\
+\\
+【描画】\\
+\hyperlink{anglemark}{Anglemark(点リスト, options)}　\>角の印を入れる\\
+\hyperlink{addgraph}{AddGraph(name ,プロットデータ)} \>ユーザー定義のプロットデータを描画する\\
+\hyperlink{arrowdata}{Arrowdata(始点,終点,options)}　\>2点間を結ぶ矢線を描く\\
+\hyperlink{arrowhead}{Arrowhead(点,方向,options)}　\>点に矢じりだけを描く\\
+\hyperlink{bezier}{Bezier(name, リスト,リスト,options )} \>単独のベジェ曲線を描く\\
+\hyperlink{beziersmooth}{Beziersmooth(name , リスト,options )} \>なめらかなベジェ曲線を描く。その１\\
+\hyperlink{beziersym}{Beziersym(name , リスト,options )} \>なめらかなベジェ曲線を描く。その２\\
+\hyperlink{bowdata}{Bowdata(点リスト,options)}　\>弓形を描く\\
+\hyperlink{bspline}{Bspline(name，リスト，options )}   \>２次 Bスプライン曲線を描く\\
+\hyperlink{changestyle}{Changestyle(PD リスト, options)} \>描画オプションを変更する\\
+\hyperlink{circledata}{Circledata(name,点リスト,options)}　\>円または多角形を描く\\
+\hyperlink{crosspoint}{Crosspoint(name,PD,PD,範囲リスト)}　\>2曲線の交点を作る\\
+\hyperlink{cspline}{CRspline(name，リスト，options )} \>単独のCatmull-Rom スプライン曲線を描く\\
+\hyperlink{deqplot}{Deqplot(name,式,変数名,初期値,options])}　\>微分方程式の解曲線を描く\\
+\hyperlink{dotfilldata}{Dotfilldata(name , 方向, PD , optionss)}　　\>領域に点を敷き詰める\\
+\hyperlink{drawsegmark}{Drawsegmark(name,リスト,options)}　\>線分に印をつける\\
+\hyperlink{drawsegmark}{Segmark(name,リスト,options)}　\>線分に印をつける\\
+\hyperlink{drwpt}{Drawpoint([点,options])}　\>点を表示する\\
+\hyperlink{drwpt}{Drwpt([点,options])}　　　\>点を表示する\\
+\hyperlink{ellipseplot}{Ellipseplot(name,list,str,options)}　\>楕円を描く\\
+\hyperlink{enclosing}{Enclosing(name , [位置，方向，数式])}　\>複数の曲線から閉曲線を描く\\
+\hyperlink{expr}{Expr(文字列)}　　　　\>\TeX 数式を書く\\
+\hyperlink{exprrot}{Exprrot(位置，向き，文字列)}　　　　\>傾いた\TeX 数式を書く\\
+\hyperlink{framedata}{Framedata(name , リスト)}　\>矩形を描く\\
+\hyperlink{framedata}{Framedata2(name , リスト)}　\>矩形を描く\\
+\hyperlink{hatchdata}{Hatchdata(name , 方向, PD , optionss)}　　\>領域に斜線を引く\\
+\hyperlink{htickmark}{Htickmark([横座標 , 方向 , 文字])}　　\>横軸に目盛りを描く\\
+\hyperlink{hyperbolaplot}{Hyperbolaplot(name,list,str,options)}　\>双曲線を描く\\
+\hyperlink{implicitplot}{Implicitplot(name,str,,str,str,options)}　\>陰関数のグラフを描く\\
+\hyperlink{joincrvs}{Joincrvs（name, PDリスト, options)}　\>2つのプロットデータをつなげたデータを作る\\
+\hyperlink{letter}{Letter(「座標,位置,文字列]のリスト」)}　　　\>文字列を表示する\\
+\hyperlink{letterrot}{Letterrot(「座標,方向,移動量,文字列])}　　　\>文字列を回転して表示する\\
+\hyperlink{lineplot}{Lineplot(name,２点のリスト,options)}　　\>２点を結ぶ直線を描く\\
+\hyperlink{listplot}{Listplot(name,点のリスト,options)}　　\>点を線分で結ぶ\\
+\hyperlink{mkbeziercrv}{Mkbeziercrv(name,リスト,options)}  \>作図した点を使ってベジエ曲線を描く\\
+\hyperlink{mkbezierptcrv}{Mkbezierptcrv(リスト，options ) } \>制御点を自動配置してベジエ曲線を描く\\
+\hyperlink{mkcircle}{Mkcircle()} 　\>幾何円のすべてのPD を作成する\\
+\hyperlink{mksegments}{Mksegments()}　\> 幾何線分のすべてのPD を作成する\\
+\hyperlink{ovaldata}{Ovaldata(name, 点リスト,optionss)}    \>角を丸くした矩形を描く\\
+\hyperlink{parabolaplot}{Parabolaplot(name,list,str,options)}　\>放物線を描く\\
+\hyperlink{parabolaplot}{Parabolaplot(name,点リスト,options)}　\>楕円を描く\\
+\hyperlink{paramark}{Paramark(点リスト,options)}　\>角の印を入れる\\
+\hyperlink{paramplot}{Paramplot(name,式,変数と定義域,options)}　\>媒介変数で表された曲線を表示する\\
+\hyperlink{partcrv}{Partcrv(name,点1,点2,PD)}　　\>部分曲線を描く\\
+\hyperlink{plotdata}{Plotdata(name,式,変数と定義域,options)}　　\>関数のグラフを描く\\
+\hyperlink{pointdata}{Pointdata(name,点リスト,optionss)}　\>点データを作る\\
+\hyperlink{polygonplot}{Polygonplot(name,点リスト,整数,options)}　\>正多角形を描く\\
+\hyperlink{putintersect}{Putintersect(点名,PD1,PD2)}　\>２曲線の交点を作る\\
+\hyperlink{putline}{PutonLine(点名,座標1,座標2)}　　　\>直線上に点を作る\\
+\hyperlink{putoncurve}{PutonCurve(name,PD,初期値)}　\>曲線上に点を作る\\
+\hyperlink{putpoint}{Putpoint(点名,座標1,座標2)}　　　\>点を作る\\
+\hyperlink{putseg}{PutonSeg(点名,座標1,座標2)}　　　\>線分上に点を作る\\
+\hyperlink{reflectdata}{Reflectdata(name,PD,点リスト,options)}　\>プロットデータの鏡映を作成\\
+\hyperlink{reflectpoint}{Reflectpoint(点,対称点/対称軸)}　\>点の鏡映を作成\\
+\hyperlink{rotatedata}{Rotatedate(name,PD,角度,中心,options)}　\>プロットデータを回転する\\
+\hyperlink{rotatepoint}{Rotatepoint(点,角度,中心)}　\>点の位置を回転する\\
+\hyperlink{rulerscale}{Rulerscale(点,リスト,リスト)}　\>目盛を打つ\\
+\hyperlink{scaldedata}{Scaledata(name,PD,x,y,中心,options)} 　\>点を拡大・縮小する\\
+\hyperlink{scalepoint}{Scalepoint(点,比率ベクトル,中心)} 　\>点の位置を拡大・縮小する\\
+\hyperlink{shade}{Shade（PDリスト , 数)}　　　\>閉曲線の内部にシェードをかける\\
+\hyperlink{translatedata}{Translatedata(name,PD,ベクトル,options)}　\>プロットデータを平行移動する\\
+\hyperlink{translatepoint}{Translatepoint(点,ベクトル)}　\>点を平行移動する\\
+\hyperlink{vtickmark}{Vtickmark([横座標 , 方向 , 文字])}　　\>縦軸に目盛りを描く\\
+
+　\\
+【微積分など】\\
+\hyperlink{derivative}{Derivative(関数式,変数,値)}　\>関数の微分係数を求める\\
+\hyperlink{integrate}{Integrate(関数式,変数,範囲,options)}　 \>関数の定積分値を求める\\
+\hyperlink{inversefun}{Inversefun(関数式,範囲,値)}　\>逆関数値を求める\\
+　\\
+【作表】\\
+\hyperlink{tabledata}{Tabledata("" , 縦横 ,除外 , options)}　\>表の枠を作成する\\
+\hyperlink{tabledatalight}{Tabledatalight("" , 縦横 ,除外 , options)}　\>幾何点を持たない表の枠を作成する\\
+\hyperlink{tableseg}{Tableseg( 罫線リスト, 線種) }  \>罫線の線種を指定する\\
+\hyperlink{changetablestyle}{ChangeTablestyle(罫線リスト, options)}　\>Table の罫線の描画オプションを変更する。\\
+\hyperlink{findcell}{Findcell(列番号, 行番号)}  \>セルの情報listを返す\\
+\hyperlink{putcell}{Putcell (列番号, 行番号, 位置, 文字)}   \>セルに文字列を入れる\\
+\hyperlink{putcol}{PutcoL (列番号, 位置，文字列リスト)}   \>１列に順に文字を書き入れる\\
+\hyperlink{putcolexpr}{PutcoLexpr (列番号, 位置，文字列リスト)}  \>１列に順に\TeX 書式の文字を書き入れる\\
+\hyperlink{putrow}{Putrow (行番号, 位置，文字列リスト)}   \>１行に順に文字を書き入れる\\
+\hyperlink{putrowexpr}{Putrowexpr (行番号, 位置，文字列リスト)} \>１行に順に\TeX 書式の文字を書き入れる\\
+\hyperlink{settable}{Settable((左上) , 右下)} \>表データを書き出す\\
+\hyperlink{tgrid}{Tgird(セルラベル} \>セル（格子点）の座標を返す\\
+\hyperlink{tlistplot}{Tlistplot(セルラベル1,セルラベル2)} \>セルに斜線を引く\\
+　\\
+【値の取得と入出力】\\
+\hyperlink{crossprod}{Crossprod(リスト,リスト)}　\>ベクトルの外積を計算する\\
+\hyperlink{dotprod}{Dotoprod(リスト,リスト)}　\>ベクトルの内積を計算する\\
+\hyperlink{findarea}{Findarea(PD)}　\>プロットデータで囲まれる部分の面積を求める\\
+\hyperlink{findlength}{Findlength(PD)}　\>プロットデータで描く曲線の長さを求める\\
+\hyperlink{intersectcrvs}{Intersectcrvs(PD1,PD2,options)}　　\>プロットデータを交点のリストを返す\\
+\hyperlink{invert}{Invert(PD)}　　　　\>プロットデータの点を逆順にする（reverseと同じ）\\
+\hyperlink{meetcurve}{MeetCurve(PD,x,y)}　\>曲線上の点を取得する\\
+\hyperlink{lcrd}{Lcrd()}　　　\>幾何点，リスト点の論理座標を取得する\\
+\hyperlink{pcrd}{Pcrd()}　　　\>幾何点，リスト点の物理（表示）座標を取得する\\
+\hyperlink{nearestpt}{Nearestpt(PD,PD)}　\>２曲線間の最も近い点を取得する\\
+\hyperlink{nearestptcrv}{Nearestptcrv(点,PD)}　\>点に一番近い曲線上の点を取得する\\
+\hyperlink{numptcrv}{Numptcrv(PD)}　　\>曲線PD の節点データの個数を取得する\\
+\hyperlink{paramoncurve}{ParamonCurve(PD,n,PtL)}　\>PD上にある点P のデータを取得する\\
+\hyperlink{pointoncrv}{Pointoncrv(数,PD)}　\>パラメータ値をもつプロットデータ上の点\\
+\hyperlink{ptcrv}{Ptcrv(n,PD)}　\>曲線PD のn 番目の節点を取得する\\
+\hyperlink{ptstart}{Ptstart(PD)}　　　\>プロットデータの始点を取得する\\
+\hyperlink{ptstart}{Ptend(PD)}　　　\>プロットデータの終点を取得する\\
+\hyperlink{readoutdata}{ReadOutData(ファイル名)}　\>外部データを読み込む\\
+\hyperlink{sprintf}{Sprintf(実数,長さ)}　\>小数点以下の長さを固定した文字列に変換\\
+\hyperlink{writetosci}{WritetoSci(ファイル名,options)}     \>すべてのソースを Scilab 用に書き出す\\
+\hyperlink{writetosci}{WritetoScibody(ファイル名)}  \>ボディのソースを Scilab 用に書き出す\\
+\hyperlink{makeshell}{Makeshell(ファイル名)}  \>Macのシェルスクリプトを書き出す\\
+\hyperlink{makeshell}{Makebat(ファイル名)}   \>Windowsのバッチファイルを書き出す\\
+\hyperlink{textformat}{Textformat(数,桁数)}   \>小数点以下の桁数を指定して数値を文字列化する\\
+\hyperlink{viewtex}{Viewtex()}　\>\TeX のソースファイルを書き出す。引数なし\\
+ \hyperlink{workprocess}{Workprocess()}　\>作図の経過を取得する\\
+　\\
+【その他】\\
+\hyperlink{assign}{Assign(文字列)}　　\>文字列中のある文字を値で置き換える\\
+\hyperlink{bbdata}{BBdata(ファイル名)}　　\>画像のサイズを求める\\
+\hyperlink{changework}{Changework(パス)}　　\>作業ディレクトリを変更する\\
+\hyperlink{com0th}{Com0th(コマンド)} 　\>ScilabのOpenfileの前に置くコマンドを定義する\\
+\hyperlink{com1st}{Com1st(コマンド)} 　\>ScilabのOpenfileの前に置くコマンドを定義する\\
+\hyperlink{com2nd}{Com2nd(コマンド)} \>ScilabのOpenfileのあとに置くコマンドを定義する\\
+\hyperlink{com2ndpre}{Com2ndpre(コマンド)} \>ScilabのOpenfileのあとに置くコマンドを定義する\\
+\hyperlink{dashline}{Dashline(PD名)}　　\>プロットデータを破線で描く\\
+\hyperlink{dottedline}{Dottedline(PD名)}　\>プロットデータを点線で描く\\
+\hyperlink{drwline}{Drwline(PD名)}　　\>プロットデータを実線で描く\\
+\hyperlink{figpdf}{Figpdf(option)} \>出力枠サイズのPDFを作る\\
+\hyperlink{helplist}{Helplist()}　　\>ヘルプデータを作る\\
+\hyperlink{help}{Help(str)}　　\>コマンドヘルプを表示する\\
+\hyperlink{helpkey}{Helpkey(str)}　　\>キーワードで関数を検索する\\
+\hyperlink{help}{Ketcindylogo()}　　\>\ketcindy のロゴを書き出す\\
+\hyperlink{indexall}{Indexofall(str1,str2)} \>文字列 str1 から str2 を検索しその位置をすべて返す\\
+\hyperlink{op}{Op(n,list)} 　\> リストまたは文字列から要素を抜き出す\\
+\hyperlink{texcom}{Texcom(コード)} \>\TeX のコードを書き出す\\
+\hyperlink{windispg}{Windispg()}　\>定義されたプロットデータを描画面に描く\\
+　\\
+【Ｒとの連携】\\
+\hyperlink{boxplot}{Boxplot(名前,データ,位置,高さ,option)} \>箱ひげ図を描く\\
+\hyperlink{calcbyr}{CalcbyR(変数名,コマンド列，option)}  \>Rのコマンドを実行して結果を返す\\
+\hyperlink{histplot}{Histplot(name,data)}  \>ヒストグラムを描く\\
+\hyperlink{plotdatar}{PlotdataR(name,式,変数)}  \>Rの関数のグラフを描く\\
+\hyperlink{plotdiscr}{PlotdiscR(name,式,変数)}  \>離散型のグラフを描く\\
+\hyperlink{readcsv}{Readcsv(name,filename,option)}  \>csvファイルを読む\\
+\hyperlink{scatterplot}{Scatterplot(name,filename,option)}  \>２次元データを読み込み，散布図を描く\\
+　\\
+【Maximaとの連携】\\
+\hyperlink{calcbyM}{CalcbyM(name,リスト,option)}　\>Maximaのスクリプトを実行する\\
+\hyperlink{example}{Example("Mxfun",文字)}　\>Mxfunの使用例を表示\\
+\hyperlink{mxbatch}{Mxbatch(リスト)}　\>Maximaの外部スクリプト用コマンドを作る\\
+\hyperlink{mxfun}{Mxfun(name,式,リスト,option)}　\>Maximaの関数を実行する\\
+\hyperlink{mxtex}{Mxtex(num,式)}  \>式をTeX書式にする\\
+　\\
+【Risa/Asirとの連携】\\
+\hyperlink{calcbyA}{CalcbyA(name,リスト,option)}　\>Risa/Asirのスクリプトを実行する\\
+\hyperlink{asirfun}{Asirfun(name,式,リスト,option)}　\>Risa/Asirの関数を実行する\\
+　\\
+【FriCASとの連携】\\
+\hyperlink{calcbyF}{CalcbyF(name,リスト,option)}　\>FriCASのスクリプトを実行する\\
+\hyperlink{frfun}{Frfun(name,式,リスト,option)}　\>FriCASの関数を実行する\\
+　\\
+【表計算ソフトとの連携】
+\hyperlink{tab2list}{Tab2list(str，option)}  \>str の内容をリストに変換する\\
+\hyperlink{Dispmat}{Dispmat(lsit)}  \>リストの内容を行列型にコンソールに表示する\\
+
+\hypertarget{functionlist3d}{}
+
+【KeTCindy3D　設定・定義】\\
+\hyperlink{ketinit3d}{Ketinit3d()}　\>KeTCindy3Dの使用宣言\\
+\hyperlink{start3d}{Start3d()}　\>3Dの開始\\
+　\\
+【KeTCindy3D　描画】\\
+\hyperlink{bezier3d}{Bezier3d(name, リスト, リスト)}　\>空間ベジェ曲線を描く\\
+\hyperlink{changstyle3d}{Changstyle3d(リスト, リスト)}　\>3dプロットデータの属性を変更\\
+\hyperlink{concatobj}{Concatob(リスト,option)}　\>いくつかのobjデータを結合\\
+\hyperlink{crvsfparadata}{Crvsfparadata(name,PD,PD2,式,opt,opt)}　\>曲線の曲面による陰線処理\\
+\hyperlink{datalist}{Datalist2d()}　\>画面に描かれているすべてのプロットデータ\\
+\hyperlink{datalist}{Datalist3d()}　\>画面に描かれているすべてのプロットデータ\\
+\hyperlink{dist3d}{Dist3d(点名,点名)}　\>空間の２点の距離\\
+\hyperlink{drawpoint3d}{Drawpoint3d(座標)}　\>空間点を描く\\
+\hyperlink{embed}{Embed(name,PD,式)}　\>埋め込みデータ作成\\
+\hyperlink{intersectcrvsf}{Intersectcrvsf(name,PD,式)}　\>曲線と曲面の交点を求める\\
+\hyperlink{intersectsgpL}{IntersectsgpL(点名,線分,面,描画方法)}　\>空間の直線と平面の交点\\
+\hyperlink{invparapt}{Invparapt(座標,PD)}　\>描画面座標に対応する曲線上の座標\\
+\hyperlink{mkbezierptcrv3d}{Mkbezierptcrv3d(点リスト)}　\>制御点を自動的にとる空間ベジェ曲線\\
+\hyperlink{nohiddenbyfaces}{Nohiddenbyfaces(name,PD,PD,opt1,opt2)}　\>多面体と空間曲線を陰線処理\\
+\hyperlink{parapt}{Parapt(座標)}　\>点の投影面での座標\\
+\hyperlink{partcrv3d}{Partcrv3d(name,始点,終点,PD)}　\>曲線PDの部分曲線を作る\\
+\hyperlink{perpplane}{Perpplane(点名, 点, ベクトル,option)}　\>点を通り垂直な平面上の基準点\\
+\hyperlink{perppt}{Perppt(点名,点,点リスト,option)}　\>平面に下ろした垂線の足\\
+\hyperlink{phparadata}{Phparadata(name,name2,options)}　\>多面体を陰線処理して描く\\
+\hyperlink{projcoordpara}{Projcoordpara()}　\>投影座標を求める\\
+\hyperlink{putaxes3d}{Putaxes3d([x,y,z])}　\>軸上に幾何点をとる\\
+\hyperlink{putonCurve3d}{PutonCurve3d(点名,PD)}　\>空間曲線上に点をとる\\
+\hyperlink{putonseg3d}{Putonseg3d(点名,点1,点2)}　\>線分上に点をとる\\
+\hyperlink{putpoint3d}{Putpoint3d(リスト,option)}　\>空間点をとる\\
+\hyperlink{readobj}{Readobj(ファイル名)}　\>objファイルを読み込む\\
+\hyperlink{reflectpoint3d}{Reflectpoint3d(点,リスト)}　\>点を鏡映\\
+\hyperlink{rotate3pt}{Rotate3pt( 点,vec,角度,点)}　\>空間点を回転\\
+\hyperlink{rotatedata3d}{Rotatedatat3d(name,PD,vec,角度,点)}　\>プロットデータを回転\\
+\hyperlink{sf3data}{Sf3data(name, リスト,options)}　\>陰線処理なしの空間曲面を描く\\
+\hyperlink{sfbdparadata}{Sfbdparadata(name, 式,options)}　\>曲面を陰線処理して描く\\
+\hyperlink{skeletonparadata}{Skeletonparadata(name,options)}　\>スケルトン処理のデータ作成\\
+\hyperlink{spacecurve}{Spacecurve(name, 式, 定義域,options)}　\>空間曲線のデータ作成\\
+\hyperlink{spaceline}{Spaceline(リスト)}　\>空間の折線データ作成\\
+\hyperlink{translatedata3d}{Translatedata3d(name,PD, 平行移動量)}　\>空間プロットデータを平行移動\\
+\hyperlink{translatept3d}{Translatept3d(座標,平行移動量)}　\>空間点を平行移動\\
+\hyperlink{vertexedgeface}{VertexEdgeFace(面データ,option)}　\>頂点と面から辺を求め，辺を描く\\
+\hyperlink{wireparadata}{Wireparadata(name,PD,式,int,int,opt,opt)}　\>曲面のワイヤフレームを陰線処理\\
+\hyperlink{xyzax3data}{Xyzax3data(name,文字,文字,文字,options)}　\>座標軸の表示\\
+\hyperlink{xyzcoord}{Xyzcoord(P.x,P.y,Pz.y)}　\>主副画面で決まる点の座標\\
+　\\
+【KeTCindymv】\\
+\hyperlink{moviedata}{Moviedata(str1,str2,options)}　\>動画データの作成\\
+\end{tabbing}
+
+
+%3D第３節
+\end{document}
\ No newline at end of file
diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/referenceR4_2_2_ltd.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/referenceR4_2_2_ltd.tex
new file mode 100644
index 00000000000..f77574b88f4
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/referenceR4_2_2_ltd.tex
@@ -0,0 +1,1422 @@
+\documentclass[a4j]{jarticle}
+
+\usepackage{ketpic,ketlayer}
+\usepackage{amsmath,amssymb}
+\usepackage{enumerate}
+%\usepackage{emathE}
+
+\newcommand{\tab}[2][12zw]{%
+\noindent
+\hspace*{2zw}\Ltab{#1 }{#2}%
+}
+
+\newcommand{\chuu}[1][15zw]{%
+\Ltab{#1}{}※ %
+}
+
+\newcommand{\rei}[1][18zw]{%
+\Rtab{#1}{例)\ }}%
+
+\newcommand{\reicr}[1][18zw]{%
+\Rtab{#1}{　 }}%
+
+\newcommand{\prompt}[1][+]{%
+$>$ \verb#1}
+
+\newcommand{\dq}[1]{
+{\unitlength$<$- 0.0012in%
+\begin{picture}%
+(26.30,94.50)(2.40,0.00)%
+\special{pn 8}%
+\special{pa 3 -113}\special{pa 6 -78}\special{pa 12 -78}\special{pa 15 -113}\special{pa 3 -113}%
+\special{sh 1}\special{ip}%
+\special{pa 22 -113}\special{pa 25 -78}\special{pa 31 -78}\special{pa 34 -113}\special{pa 22 -113}%
+\special{sh 1}\special{ip}%
+\end{picture}}%
+\,#1\,%
+{\unitlength$<$- 0.0012in%
+\begin{picture}%
+(26.30,94.50)(2.40,0.00)%
+\special{pn 8}%
+\special{pa 3 -113}\special{pa 6 -78}\special{pa 12 -78}\special{pa 15 -113}\special{pa 3 -113}%
+\special{sh 1}\special{ip}%
+\special{pa 22 -113}\special{pa 25 -78}\special{pa 31 -78}\special{pa 34 -113}\special{pa 22 -113}%
+\special{sh 1}\special{ip}%
+\end{picture}}%
+}
+
+\newcommand{\bq}{
+\hspace*{-2pt}%
+{\unitlength=1pt%
+\begin{picture}%
+(1.80,7.00)(-0.90,0.00)%
+\special{pn 8}%
+%
+\special{pn 12}%
+\special{pa -11 -94}\special{pa 11 -72}%
+\special{fp}%
+\special{pn 8}%
+\end{picture}}%
+}
+
+\newenvironment{mini}[1]%
+{\begin{minipage}[t]{#1}}%
+{\end{minipage}%
+}
+
+
+%\enumSep{\narrowenumsep}
+
+\setmargin{15}{15}{15}{20}
+
+\begin{document}
+
+\begin{flushright}
+2013年10月6日
+\end{flushright}
+
+\begin{center}
+{\bf \huge \ketpic\ v4.2.2 ltd コマンド一覧}\vspace{3mm}\\
+{\bf \huge for R}
+\end{center}
+
+\hfill
+\begin{minipage}{4cm}
+\Ltab{1.5cm}{PD}プロットデータ\\
+\end{minipage}
+
+%\vspace*{-2zw}
+
+\section{R についての注意}
+
+\begin{enumerate}[1.]
+
+\item KETpicの読込みには次を実行する．\\
+\hspace*{2zw}load("C:/work/ketpic.Rdata")　（C:/work/は作業フォルダ名）\\\hspace*{-12zw}\chuu ディレクトリの変更は setwd("c:/work")
+
+\item 文字列は　 "（ダブル）で囲む\\
+\chuu 文字列の中に文字列を入れるときは ' と " を入れ子に使う．
+
+\item 関数などを引数とするときは，文字列とする．\\
+\hspace*{2zw}例）G$<$- Plotdata( "x\verb|^|2", "x=c(0,1)")
+%\hspace*{2zw}注）プログラミングでは文字列を実行するコマンド evstr, execstr が重要である．
+%\item 
+%数リスト，文字列，行列が混ざったデータ（基本データ）のリストはできない．
+%Mixは混合リストを扱う．
+%\hspace*{3zw}基本データ$\longrightarrow$混合列$\longrightarrow$混合リスト%
+%$\longrightarrow$混合リスト$\longrightarrow\cdots$
+
+\item \verb|\|（バックスラッシュ）を出力するには２つ並べてかく．
+
+
+\item 注釈は \verb|#|
+
+%\item 実行の中断は　abort
+
+
+%\item 数値微分は derivative, 数値積分は integrate（またはintg）
+
+%\chuu Derivative, Integrate 参照
+
+\item 数と文字列の変換\\
+\hspace*{2zw}as.character(数)\\
+\hspace*{2zw}as.numeric(文字列)\\
+\hspace*{2zw}eval(parse(text=文字列)))\\
+\hspace*{2zw}sprintf(書式,\ 数) 書式付き文字列
+
+\item 異なる型のデータからリストを作るにはlistを用いる．\\
+\hspace*{2zw}作成　　　L\verb|<-| list(... , ... );\\
+\hspace*{2zw}取り出し　A\verb|<-| L[[i]]\\
+\hspace*{2zw}部分リスト　L[V]\ (V はベクトル)\\
+\hspace*{2zw}置き換え　L[[i]]\verb|<-| ...\\
+%\hspace*{2zw}消去　　　L[[i]]<- NULL\\
+\hspace*{2zw}長さ　　　length(L)\\
+\hspace*{2zw}追加　　　L\verb|<-|  c(L1, L2)\\
+\hspace*{2zw}結合　　　c(L1,L2,...)\\
+\hspace*{2zw}空リスト　list()\\
+\hspace*{2zw}タイプを見る　is.list(L)（論理値）または mode(L)
+
+\end{enumerate}
+
+\section{Rのための追加コマンド}
+
+\tab{Member(D, L)}DがLの要素であればtrue，そうでなければfalseを返す．\\
+\chuu Lはベクトルまたは list
+
+\tab{Flattenlist(L)}Lを平準化して単層のリストを作る
+
+%\tab{Mix(D1, D2, $\cdots$)}FD列，MS，MLから（１段上の）MSまたはMLを作成
+
+%\tab{Mixadd(L, D)}L（MSまたはML)にDを要素として加える
+
+\tab{Mixdisp({\it list})}listの要素を画面に簡易表示
+
+%\tab{Mixjoin(L1, L2, ...)}要素を合併したlistを作る\\
+%\rei L1$<$- list(G1,G2,3); L2$<$- list(G3, "a")\\
+%\reicr L$<$- Mixjoin(L1,L2, c(3,6))\\
+%\reicr \hspace{2cm}LはG1, G2, 3, G3, "a", c(3, 6)のlist\\
+%\chuu \verb|c() , list()| は無視される
+
+%\tab{MixL(D1,D2, $\cdots$)}MS, MLから（１段上の）MLを作成
+
+%\tab{Mixlength(L)}L（MSまたはML)の要素の個数
+
+%\tab{Mixop(N, Data)}DataのN番目の要素（DataはMS, ML)
+
+%\tab{MixS(D1,D2, $\cdots$)}基本データ列からMSを作成
+
+%\tab{Mixsub（範囲，L)}Lの範囲（リスト）の要素からなる部分MSまたはML\\
+%\rei S$<$- Mixsub( 2; 5, L);
+
+%\tab{Mixtype(Data)}Dataが基本データなら１，MSなら２，MLなら３を返す
+
+\tab{Op(N,\ Data)}DataのN番目の要素（Dataは文字列，ベクトル，list）
+
+\tab{Assign(式, 変数名, 値, ・・・)}\\
+\tab{}変数名（文字列）に値を割り当てた文字列を返す\\
+\chuu 値は，数，文字列，数行列，Scilablist\\
+\rei A$<$- 0.4; B$<$- c(2,1)\\
+\reicr Fn$<$- Assign("A*x\^{}2+B(1)*y\^{}2","A", A, "B", B)
+
+\tab{Assignset(変数名, 値, ・・・)}%
+割り当て変数テーブルをセットする\\
+\rei Assignset("A", 0.4, "B", c(2,1), "C", list(...), "D", "string")
+
+%\tab{Assign(式)}式文字列の変数に割り当て変数リストを割り当てた文字列を返す\\
+%\rei Assign("A", 0.4, "B", c(2,1))\\
+%\reicr Fn$<$- Assign("A*x\^{}2+B(1)*y\^{}2")
+
+\tab{Assignset("?"+変数名)}変数名の値を返す\\
+\rei Assignset("?A")
+
+\tab{Assignset()}割り当て変数テーブルを初期化\\
+%\rei Assign("A", 0.4, "B", c(2,1))\\
+%\reicr Assign()
+
+\tab{Assignadd(変数名, 値, ・・・)}\\
+\tab{}割り当て変数テーブルに追加する\\
+\rei Assignadd("C", 0.4, "D", c(2,1))
+
+\tab{Assignrep(変数名, 値, ・・・)}\\
+\tab{}割り当て変数テーブルを置き換える\\
+\rei Assignrep("C", 0.8)
+
+\tab{Prime(文字列)}文字列の最後に " をつける\\
+\rei Prime("A")\\
+\rei Prime()  （" だけを出力）\\
+\chuu Assign("A\bq ") としてもよい．
+
+
+%\tab{Strop(N,\ 文字列)}文字列のN番目の文字
+
+%\tab{Subs(代入式,\ 有理式)}有理式に代入式で与えられる数値を代入した値を返す\\
+%\rei X$<$- poly(0,"X")\\
+%\reicr F$<$- X\verb|^|2+3\verb|*|X+3\\
+%\reicr V$<$- Subs("X$<$- 5",\ F)
+
+\tab{XMIN, XMAX, YMIN, YMAX}\\
+\tab{}ウィンドウ範囲
+（デフォルト$-5\leqq x\leqq 5,\ -5\leqq y\leqq 5$）
+
+\tab{Ptne(),Ptnw(),Ptsw(),Ptse()}\\
+\tab{}フレーム枠の各点
+
+\tab{ThisVersion}Ketpicのバージョン
+
+\tab{Fracform(x\{, 分母の最大値\})}\\
+\tab{}xに近い分数（文字列）を返す\\
+\chuu 分母の最大値のデフォルトは100000\\\
+\rei Fracform(c(2.36))
+
+\tab{Dotprod(v1,v2)}内積
+
+\tab{Crossprod(v1,v2)}外積
+
+\tab{Derivative(関数文字列，変数名，\{値ベクトル\}}\\
+\tab{}関数の微分係数を求める．\\
+\rei Derivative("x\verb|^|2+y", c("x","y"),c(2, 3))\\
+%\rei Assign("A", 3)\\
+%\reicr Derivative(Assign("x\verb|^|2+A*y"), "c(x,y)", c(2, 3), 2)\\
+%\chuu 変数の番号を指定しないときは，列ベクトルで返す．
+
+\tab{Integrate(関数文字列，変数文字列，積分区間（数リスト）)}\\
+\tab{}関数の定積分を求める．\\
+\rei Integrate("sin(x)","x",c(0,pi))\\
+\chuu 区間（リスト）は積分を分けて計算するときに指定\\
+%\reicr Fn(x)","if x>0,Y$<$- 1,else,Y$<$- -1,end")|\\
+\reicr \verb|Integrate("Fn(x)","x",c(-2,0,3))|\\
+
+%\tab{Thetadegree()}平行投影で$\theta$（度）
+
+%\tab{Phidegree()}平行投影で$\varphi$（度）
+
+%\vspace{-2zw}
+
+\section{設定コマンド}
+
+\subsection{基本}
+
+\tab{Setwindow(c(xmin, xmax), c(ymin, ymax))}\\
+\tab{}ウィンドウ範囲を設定\\
+\rei Setwindow(c(-pi, pi),\ $c(-1.5,1.5)$\,)\\
+\chuu XMIN , XMAX , YMIN , YMAX で値を得られる．
+
+\tab{Setscaling({\it ratio})}\\
+\tab{}縦の横に対する比を{\it ratio}に設定（デフォルトは 1）\\
+\rei Setscaling(2)\\
+\chuu ウィンドウも連動
+
+\tab{Setax(線種, 横軸名, 位置, 縦軸名, 位置, 原点名, 位置)}\\
+\tab{}座標軸を設定（引数 7 個）\\
+\rei Setax("a", "t", "s", "u", "w", "O", "nw")\\
+\chuu 線種は　d :  line , a : arrow\\
+\chuu arrowのとき　"a0.5" のように，矢印の大きさを指定できる．\\
+\chuu ""とすると，現在の設定を変更しない．\\
+\chuu 以降が "" のとき省略できる．また途中からも指定できる\\
+\rei Setax("a"\,)\\
+\rei Setax(6, "O", "se"\,)　（6番目から指定）\\
+\chuu 位置は"n", "s", "e", "w", "ne", "nw", "se", "sw"\\
+\chuu "s2w3"のように微小移動量を付加してよい．\\
+\chuu 空引数のとき，現在の設定値を表示
+
+\tab{Setorigin(\,点\,)}座標軸の原点を指定（デフォルトは$(0,\ 0)$）\\
+\chuu 空引数のとき，現在の設定値を表示
+
+\tab{Setpen( 倍率 )}線の太さを指定（標準からの倍率で）\\
+\rei Setpen(1.5)\\
+\chuu 空引数のとき，現在の設定値を表示
+
+\tab{Setpt( 倍率 )}Drwptの点の大きさを指定（標準からの倍率で）\\
+\chuu 空引数のとき，現在の設定値を表示
+
+\tab{Setmarklen( 倍率 )}目盛りの大きさを指定（標準からの倍率で）\\
+\chuu 目盛りの大きさは微小移動量の単位としても用いられる．\\
+\chuu 空引数のとき，現在の設定値を表示
+
+\tab{Setunitlen("単位長")}単位長を指定する\\
+\chuu Beginpicture("")とすると指定された単位長が使われる.\\
+\chuu 空引数のとき，現在の設定値を表示
+%\tab(13zw){resetunitlen()}コード書き出しを終える
+
+\tab{Setarrow(鏃の大きさ \{, 開き角 \{, 鏃位置 \{, 太さ\}\}\} \{, 形と位置\})}\\
+\tab{}矢印の形状を指定する\\
+\rei Setarrow(0.5, 1, 1, 0.7, "tf"\,)\\
+\chuu デフォルト　大きさ１ ，角度 18°，位置は終点\\
+\chuu 5以下の開き角を指定したときは，18°からの倍率とする\\
+\chuu 形状\ "l" ：ライン　"f" ：塗り（デフォルト）\\
+\chuu 位置微調整\ "c"：中央　"b"：下　"t"：トップ(〃）\\
+\chuu 空引数のとき，現在の設定値を表示
+
+\tab{Ketinit(\,)}定数をデフォルトに初期化
+
+\subsection{空間（平行投影）}
+
+\tab{Setangle(\,$\theta, \varphi$\,)}角度（°）を指定\\
+\chuu デフォルト値は $\theta$<$- 60,\ \varphi$<$- 30$\\
+\chuu 空引数のとき，現在の設定値を表示
+
+\tab{Initangle(\,)}デフォルト値に戻す
+
+\subsection{空間（一点投影）}
+
+\tab{Setpers(\,注視点，視点\,)}一点投影のFocusPoint,\ EyePoint を指定\\
+\chuu デフォルト値は FocusPoint$<$- c(0,0,0),\ EyePoint$<$- c(5,5,5)
+
+\tab{Setpers()}現在のFocusPoint,\ EyePoint を表示\\
+\chuu 空引数のとき，現在の設定値を表示
+
+\tab{SetstereoL(\,$R,\ \theta,\ \varphi,\ \varDelta$\,)}%
+原点を注視点として，空間極座標により定まる左目の位置を\\
+\tab{}視点にセット（$\varDelta$は目の間隔）
+
+\tab{SetstereoR(\,$R,\ \theta,\ \varphi,\ \varDelta$\,)}%
+原点を注視点として，空間極座標により定まる右目の位置を\\
+\tab{}視点にセット（$\varDelta$は目の間隔）
+
+\section{プロットデータの作成}
+
+\subsection{平面図形}
+
+\tab{Plotdata(関数,範囲,オプション)}\\
+\tab{}関数のグラフのPDを作成\\
+\rei G1$<$- Plotdata(\,"sin(x)",\ "x= c($-2$*pi,\ 2*pi)")\\
+\chuu 範囲を "x" とすると，XMINからXMAXにとる．\\
+\chuu x 以外の変数を使うときは関数に使われていないかを注意．\\
+\chuu オプション\\
+\hspace*{16zw}\tab[6zw]{"N=$\cdots$"}点の個数\\
+\hspace*{16zw}\tab[6zw]{"E=c($\cdots$)"}除外点のリスト\\
+\hspace*{16zw}\tab[6zw]{"E=関数"}関数の０点は除外\\
+\hspace*{16zw}\tab[6zw]{"D=$\cdots$"}連続限界値（これ以上離れたら結ばない）\\
+\chuu デフォルトはN=50,  D=Inf \\
+%\chuu 関数は function で与えてもよい．\\
+\rei G1$<$- Plotdata("1/x", "x","N=200", "E=c(0)", "D=1")\\
+\rei G2$<$- Plotdata("1/((x-1)*(x+2))", "x", "E=(x-1)*(x+2)")\\
+
+\tab{Listplot(点のベクトルまたは列またはlist)}\\
+\tab{}折れ線のPDを作成. ただし、点は線分で結ぶ. \\
+\rei G2$<$- Listplot(c(c(3,2),c(5,4)))\\
+\rei G2$<$- Listplot(c(3,2),c(5,4))
+
+\tab{Lineplot(点A, 点B\{ , 長さ，半直線\})}\\
+\tab{}線分ABを延長した線分のPDを作成 \\
+\rei G3$<$- Lineplot(c(3,2),c(5,4))\\
+\rei G4$<$- Lineplot(A, B, "+")\\
+\reicr  半直線AB（B側に延長）\\
+\chuu 長さのデフォルトは片側100
+
+\tab{Paramplot(パラメトリック関数,範囲,オプション)}\\
+\tab{}パラメトリック関数のグラフのPDを作成\\
+\chuu t 以外の変数を使うときは関数に使われていないかを注意\\
+%\chuu 関数は function で与えてもよい．\\
+\rei G3$<$- Paramplot(\,"c(cos(t),\ sin(t))",\ "t=c(0, 2*\%pi)")\\
+%\rei G4$<$- Paramplot(Fnx, Fny, "t=c(0, 1)")
+
+\tab{Rotatedata(PDまたは点,角度\{,中心\})}\\
+\tab{}平面のPDを回転したPDを作成 \\
+\rei G4$<$- Rotatedata(G1,pi/4)
+
+\tab{Translatedata(PD,\ x方向 y方向)}\\
+\tab{}PDを平行移動したPDを作成 \\
+\rei G5$<$- Translatedata(\,G1,\ 3,\ $-1$\,)
+
+\tab{Scaledata(PD, x方向, y方向\{,中心\})}\\
+\tab{}PDを拡大(縮小)したPDを作成 \\
+\rei G6$<$- Scaledata(\,G1,\ 2,\ 1/3\,)
+
+\tab{Reflectdata(PD,点)}点対称移動したPDを作成\\
+\tab{Reflectdata(PD, c(\,点1,点2\,))}\\
+\tab{}線対称移動したPDを作成\\
+\rei G7$<$- Reflectdata(\,G1,\ c(0,0)\,)\\
+\rei G8$<$- Reflectdata(\,G1,\ c(\,c(0,0),\ c(0,1)\,)\,)
+
+\tab{Pointdata(PD,\ $\cdots$)}PDの節点のlistを作成\\
+\rei G9=Pointdata(G1)\\
+\chuu Drwpt(G9)などで，点のプロットができる．
+
+\tab[21zw]{Circledata(中心,\ 半径\ \{,\ オプション\}\})}円のPDを作成\\
+\rei G10$<$- Circledata(\,c(3,1),\ 2\,) \\
+\chuu オプション\\
+\hspace*{16zw}\tab[5zw]{"R=..."}$\theta$の範囲\\
+\hspace*{16zw}\tab[5zw]{"N=..."}点の個数\\
+\rei G10a$<$- Circledata(\,c(3,1),\ 2,\ "R=c(0,\ pi/2)"\,)\\
+\rei G10b$<$- Circledata(\,c(3,1),\ 2,\ "N=100"\,)  
+
+\tab{\,Framedata(P,\ dx\{,\ dy\})\,}%
+点Pを中心に$\pm$dx,\ $\pm$dyの矩形（dyを省略するとdy$<$- dx）\\
+\rei G3$<$- Framedata(c(3,\ 1),\ 0.5\,) 
+
+\tab[12zw]{\,Framedata(${\rm c}(x_1,\ x_2),\ {\rm c}(y_1,\ y_2)$)\,\\}%
+\tab{}$x_1 \leqq x \leqq x_2,\ y_1 \leqq y \leqq y_2$の矩形のPDを作成（右上から反時計）\\
+\chuu 引数が空のとき，Setwindowで指定した枠\\
+\rei G1$<$- Framedata(${\rm c}(-2,\ 3)$,\ ${\rm c}(1,\ 4)$\,) \\
+\rei G2$<$- Framedata()
+
+\tab{Hatchdata( パターン文字(list)\{, 開始点\}, (閉)曲線の列\{,kaku\{,haba\}\,\}\,)}\\
+\tab{}パターンと一致する領域を斜線塗りするPDを作成\\
+\rei G1$<$- Hatchdata(list("io"),\ list(g1,g2),\ list(g3)\,)\\
+\mbox{}\hfill（i : 内部，o: 外部）\\
+\chuu 開始点が指定されたとき\\
+\hfill（仮想的に）その点を通る斜線から描き始める\\
+%\chuu パターンがリストのとき，どれかと一致する領域を斜線塗り\\
+\chuu%
+\begin{mini}{23zw}
+kakuは斜線の傾き(def=45)，habaは間隔（def=1）
+\end{mini}\vspace{1mm}\\
+\rei G2$<$- Hatchdata(\,list("ii"),\ O,\ list(G1),\ $-45$,\ 1.5\,)\\
+\chuu 曲線リスト内のPDは隣接の順に指定\\
+\chuu 閉じていないとき\\
+\hspace*{18zw}(1)方向 "s","n","w","e" を指定する\\
+\hspace*{18zw}(2)窓枠とちょうど2点で交わる場合、領域の点を指定\\
+\hspace*{18zw}(3)指定しなければ端点を直線で結ぶ.\\
+\rei G3$<$- Hatchdata(list("ii),\ list(g1,"s"),\ list(g2,\ c(3,0))\,)
+
+\tab{Hatchdata( 領域の点）\{, 開始点\}, (閉)曲線listの列\{,kaku\{,haba\}\,\}\,)}\\
+\tab{}点（のどれか）が含まれる領域を斜線塗り\\
+\rei F4$<$- Hatchdata(list(A,B,C),\ \ list(G1),\ list(G2,G3)\,)\\
+\hspace*{4zw}\chuu %
+\begin{mini}{23zw}
+包含パターンが点A, B, Cのどれかと一致する領域を斜線塗り（領域は隣接するものとする）
+\end{mini}\vspace{2mm}
+
+%\tab{enclosing( P,  PDリスト )}PD列からPを囲む閉曲線となる部分曲線のPD列を作成\\
+%\rei G1$<$- enclosing(\,c(1,0),\ c(g1,\ g2,\ invert(g3))\,)\\
+%\chuu PD列は隣接順に指定する（向きが一致するようにする）
+
+%\tab{enclosing( n,  PDリスト )}%
+%PD列からできる閉曲線のうちn番目のPD列を作成\\
+%\rei G2$<$- enclosing(\,1,\ c(g1,\,g2,\,invert(g3))\,)\\
+%\chuu 0を指定すると，全ての閉曲線のリストを返す．
+
+\tab{Enclosing( PDリスト\{, 始点の近くの点\} )}\\
+\tab{}PD列の直近の交点を結んで閉曲線を作成\\
+\rei G2$<$- Enclosing(list(G1,\,invert(G2),\,G3),\,c(2,1)\,)\\
+\tab[14zw]{}G1と (最後の)G3の交点のうち，c(2,1)に近い点から始める\\
+\chuu 交点が１個の場合は，点を省略してよい．
+
+\tab{Dotfilldata( パターン文字列（リスト）\{, 開 始点\}, 
+(閉)曲線PDリストの列\{,濃さ\})}\\
+\tab{}パターンと一致する領域を点描するPDを作成\\
+\rei Fd$<$- Dotfilldata("ii",list(G1),list(G2),0.7)\\
+\chuu 濃さ$d$は　$0< d \leqq 1$（デフォルトは$0.5$）\\
+\chuu 書き出しは，Drwptを用いる．
+
+\tab{Arrowdata}矢印のPDを作成（Arrowline参照）\\
+\chuu やじりは塗りつぶさず，線データのみ
+
+\tab{Arrowheaddata}やじりだけのPDを作成（Arrowhead参照）
+
+\tab[20zw]{Bowdata(\,$\mbox{点A},\ \mbox{点B}$\{,\ 曲がり\{,\ 切り\}\,\}\,)}\\
+\tab{}弓形のPDを作成\\
+\chuu 曲がり：弧の曲がり（デフォルトは1）\\
+\chuu 切り：中央に入れる切りの長さ（デフォルトは0）\\
+\chuu 点AからBに反時計まわりに弧をかく\\
+\rei G$<$- Bowdata(\,c(2,\ 1),\ c(3,\ 4),\ 0.8,\ 0.5\,)
+
+%\tab{Bowmiddle(\,$\mbox{点A},\ \mbox{点B}$\{,\ 曲がり\})}\\
+%\tab{}弓形の中点と角のlistを返す
+
+\tab{Bowmiddle(\,弧データ\ )}弓形の中点を返す
+
+\tab{Splinedata(点データ\{, オプション\}\})}\\
+\tab{}spline曲線のPDを作成\\
+%\chuu ファイルは，space, comma, tab 区切りのtextファイル\\
+%\chuu 開始位置：ファイルの読込み開始行と列．defaultはc(2,\ 1)\\
+\chuu 点データはリストまたはPD\\
+\chuu オプション：\\
+\hspace*{18zw}"N$<$- 点の個数" （デフォルトは50）\\
+\hspace*{18zw}"C" （閉曲線でスムーズにつなぐ）\\
+%\rei Fs$<$- Splinedata("c:/data.txt",\ c(2,4),\ "N$<$- 100")\\
+\rei Fs$<$- Splinedata(PL, "N$<$- 200", "C")（PLは点データ）
+
+%\tab{Skeleton2data(\,平面曲線list1，平面曲線list2\{,大きさ%
+%\{,\ 遠近の閾値\}\}\,)}\\
+%\tab{}list2で隠されるlist1のスケルトンデータを作成
+
+\tab{Anglemark(A, B, C \{, サイズ \})}\\
+\tab{}$\angle \mathrm{ABC}$の間の角度記号を作成\\
+\chuu BAからBCへ反時計回りに描く\\
+\chuu サイズのデフォルトは0.5
+
+\tab{Paramark(A, B, C \{, サイズ\})}\\
+\tab{}$\angle \mathrm{ABC}$の間の角度記号（平行四辺形）を作成
+
+%\tab{Sumfun(\{ 定数項, \}一般項,  添字のリスト，変数の範囲，\{ 点の個数 \})}\\
+%\tab{} $\displaystyle c+\sum_{k= a}^{b}f(x,\ k)$のPDを作成（{\bf Scilabに追加}）\\
+%\chuu 定数項が0のときは省略できる．\\
+%\chuu 点の個数は "N$<$- 個数" で指定（デフォルトは終わりまで）\\
+%\rei G1$<$- Sumfun(1, "x\verb|^|n/factorial(n)", "n$<$- 1:5", "x$<$- c($-2,\ 2)$")
+
+%\tab{Implicitplot(関数，x範囲，y範囲\{, 分割数\})}\\
+%\tab{Implicitplot(Zvalue, Xvalue, Yvalue) }\\
+%\tab{}陰関数のPDを作成\\
+%\chuu 分割数のデフォルトは　c(50, 50)\\
+%\rei \verb|G1$<$- Implicitplot("x^2+y^2-1","x$<$- c(-1,1)","y$<$- c(-1,1)")|
+
+%\tab{Deqplot(方程式，x範囲，x0，y0\{, 分割数\})}\\
+%\tab{}微分方程式の解曲線のPDを作成\\
+%\chuu $y"$は y\bq と書く．\\
+%\chuu xの範囲を省略すると，描画範囲全体\\
+%\rei \verb|G1$<$- Deqplot("y|\bq \verb|$<$- y*(1-y)","x",0,0.2,"N$<$- 100")|\\
+%\rei \verb|G2$<$- Deqplot"("y|\bq\bq \verb|$<$- -0.4*y`-3*y","x$<$- c(0,5)",0,c(0,2))|
+%\rei \verb|G3$<$- Deqplot("c(x,y)|\bq \verb|$<$- c(x*(1-y),0.3*y*(x-1))",...|\\
+%\reicr \verb|    "t$<$- c(0,20)",0,c(1,0.5),"N$<$- 200")|
+
+%
+
+\subsection{空間図形}
+
+\tab{Spaceline(\,空間点のベクトルまたはlist\,)}\\
+\tab{}空間点を結ぶ線分のPD3dを作成\\
+\rei G1$<$- Spaceline(\,c(c(3,\ 2,\ 1),\ c(5,\ 6,\ 6))\,)
+
+\tab{Spacecurve(\,関数,範囲,オプション\,)}\\
+\tab{}空間曲線のPD3dを作成\\
+\rei G2$<$- Spacecurve( "c(cos(t),\ sin(t),\ t)",\ "t$<$- c(0, 2*\%pi)" )
+
+\tab{Rotate3data(PD3, v1, v2\ \{, 中心\})}\\
+\tab{}PD3をv1がv2に重なるように回転したPD3dを作成\\
+\rei G2$<$- Rotate3data(\,G1, c(1, 0, 0), c(1, 2, 3)\,)\\
+\chuu PD3はlistでもよい（この場合はlistを返す）
+
+\tab{Rotate3datac(PD3, 回転軸, 角度\ \{, 中心\})}\\
+\tab{}PD3を回転軸のまわりに回転したPD3dを作成\\
+\rei G2$<$- Rotate3datac(\,G1, c(0, 0, 1), \%pi/4\,)\\
+\chuu PD3はlistでもよい（この場合はlistを返す）
+
+\tab{Translata3data(PD3, 移動ベクトルv)}\\
+\tab{}PD3をvだけ移動したPD3dを作成\\
+\rei G2$<$- Translate3datac(\,G1, c(3, 2, 1)\,)\\
+\rei G2$<$- Translate3datac(\,G1, 3, 2, 1\,)\\
+\chuu PD3はlistでもよい（この場合はlistを返す）
+
+\tab{Xyzax3data(\,$x$範囲, $y$範囲, $z$範囲\,)}\\
+\tab{}座標軸のPD3dのlistを作成
+
+\tab{Projpara(\,PD3列またはlist\,)}\\
+\tab{}空間曲線の平行投影による射影PD( 2d )を作成
+
+\tab{Projpers(\,PD3列またはlist\,)}\\
+\tab{}空間曲線の一点投影による射影PD( 2d )を作成
+
+\tab{Skeletonparadata(\,空間曲線list1，空間曲線list2\{,大きさ%
+\{,\ 遠近の閾値\}\}\,)}\\
+\tab{}\begin{mini}{30zw}
+平行投影でlist1からlist2により隠される部分を除いた残りの平面PD列
+（スケルトンデータ）を作成\vspace*{2mm}
+\end{mini}
+
+\tab{Skeletonpara3data(\,空間曲線list1，空間曲線list2\{,大きさ%
+\{,\ 遠近の閾値\}\}\,)}\\
+\tab{}\begin{mini}{30zw}
+平行投影でlist1からlist2により隠される部分を除いた残りの空間PD列
+（スケルトンデータ）を作成\vspace*{2mm}
+\end{mini}
+
+\tab{Skeletonpersdata(\,空間曲線list1，空間曲線list2\{,大きさ%
+\{,\ 遠近の閾値\}\}\,)}\\
+\tab{}一点投影でlist2によるlist1のスケルトンデータ(2D)を作成
+
+\tab{Skeletonpers3data(\,空間曲線list1，空間曲線list2\{,大きさ%
+\{,\ 遠近の閾値\}\}\,)}\\
+\tab{}一点投影でlist2によるlist1のスケルトンデータ(3D)を作成
+
+\tab{Embed(\,平面曲線（リスト），埋め込み関数\,)}\\
+\tab{}埋め込み関数により空間曲線を作成\\
+\rei \verb|deff("Out$<$- Fun(x,y)","Out$<$- c(x,y,0)")|\\
+\reicr \verb|G1$<$- Listplot(c(0,0),c(3,2))|\\
+\reicr \verb|G1_3d$<$- Embed(G1,Fun)|
+
+%
+\subsection{多面体の描画}
+
+\tab{Phcutdata(頂点リストVL, 面添字リストFL, 平面データPlaneD)}\\
+\tab{}多面体を平面で切ったときの多面体と切断面の3dリストを作成\\
+\chuu PlaneD（平面）の形式\\%
+\hspace*{18zw}\begin{mini}{20zw}
+"a*x+b*y+c*z-d",\ "a*x+b*y+c*z$<$- d"\\
+\hspace*{2zw}（x,\ y,\ zをクリアしておく）\\
+または　"c(a, b, c, d)"\\
+\hspace*{4zw} "list(a, b, c, P)"（点Pを通る）
+\end{mini}\vspace{2mm}\\
+\chuu 切断面はリストの最後の要素\\
+\rei VL$<$- list(c(0, 0, 0), c(1, 0, 0), c(0, 1, 0), c(0, 0, 1))\\
+\reicr FL$<$- list(c(1, 2, 3), c(1, 2, 4), c(1, 3, 4), c(2, 3, 4))\\
+\reicr PL$<$- Phcutdata(VL, FL, "c(1, 1, 1, 3)")\\
+\reicr Windisp(PL)
+
+\tab{Phcutoffdata(VL, FL, PlaneD, 符号)}\\
+\tab{}PlaneDで切断された部分多面体の3dデータリストを作成\\
+\chuu 符号は　\verb|"+"| または \verb|"-"|\\
+\rei PL$<$- Phpcutoffdata(VL, FL, "x+y+(z-1/2)", "+")\\
+\chuu PhVertexL(), PhFaceL()で頂点，面リストを取り出せる．
+
+\tab{Phparadata(VL, FL)}陰線処理をした多面体のPD3d（平行投影）を作成\\
+\tab{Phpersdata(VL, FL)}陰線処理をした多面体のPD3d（一点投影）を作成\\
+\chuu PhHiddenData()で陰線のPDを取り出せる．
+
+\tab{Phsparadata(面datalist)}複数の多面体のPD3d（平行投影）を作成（陰線処理）\\
+\tab{Phspersdata(面datalists)}複数多面体のPD3d（一点投影）を作成（陰線処理）\\
+\chuu 面datalistはlist(VL, FL)，または，そのlist\\
+\chuu 面を点で直接指定するときには VL$<$- list()とする．\\
+\rei Fd$<$- list(list(),list(c(3,2,1),c(0,0,0),c(c(1,2,4)))\\
+\chuu PhHiddenData()で陰線のPDを取り出せる．
+
+\tab{Phsrawparadata(面datalist), Phsrawpersdata(面datalist)}\\
+\tab{}複数の多面体のPD3dを作成（陰線処理をしない）
+
+\tab{Facesdata(面datalist \{ ,追加曲線PDlist \}, 射影のタイプ)}\\
+\tab{}面の辺（と追加曲線）を面により陰線処理\\
+\chuu 射影のタイプは "para"，"pers"，"rawpara’，"rawpers"
+
+\tab{Faceremovaldata(面datalist，曲線PDlist, 射影のタイプ)}\\
+\tab{}曲線を面により陰線処理
+
+\section{データの書き出し}
+
+\subsection{基本コマンド}
+
+\tab{Windisp( PD列またはlist )}\\
+\tab{}画面を開き，PD列を表示（確認のため）\\
+\rei Windisp(\,G1,\ G2\,)\\
+\rei Windisp(list(G1,G2))
+
+\tab{WindispT( PD列またはlist \{, オプション\} )}\\
+\tab{}画面を開き，PD列を表示（確認のため）図を重ねて表示する．事前にWindispT()\\
+\rei WindispT(\,G1,\ G2\,color="red",width=1,new=TRUE\,)\\
+\rei WindispT(list(col="blue",border="white",G1),new=TRUE) \\
+\hspace*{18zw}(閉曲線G1を塗る)\\
+\rei WindispT(list(col="blue",border="white",density=200,G1,G2),new=TRUE)\\
+\hspace*{18zw} (閉曲線G1,G2を塗る.densityは内側を線分で塗りつぶす場合のパラメータ)
+
+\tab{Openfile('ファイル名'\,\{ソースファイル名\}) }\\
+\tab{}書き出し用ファイルを開く（デフォルトは画面）\\
+\rei setwd("C:/TeXF") \\
+\reicr Openfile(\, "fig.tex"\,)\\
+\reicr Openfile(\,'fig.tex',\,'fig.r'\,)\\
+\chuu ソースが同一フォルダにあるときは，第２引数は不要
+
+\tab{Beginpicture("単位長"\,)}picture 環境を始める．\\
+\rei Beginpicture("1cm"\,)\\
+\rei Beginpicture("2*10/12cm"\,)
+
+\tab{Endpicture(\,1\,)}picture 環境を終える（座標軸をかく）\\
+\tab{Endpicture(\,0\,)}picture 環境を終える（座標軸をかかない）
+
+\tab{Closefile(\,)\,}書き出し用ファイルを閉じる（デフォルト＝画面に戻す）
+
+\subsection{プロットデータ}
+
+\tab{Drwline(\,PD列またはlist\{, 太さ\}\,)}\\
+\tab{}PD列またはを実線で書き出す\\
+\rei Drwline(\,G1,\ G2\,)\\
+\rei Drwline(\,G3,\ 0.5\.)
+
+\tab{Dashline(\,PD列またはlist\{, len \{, gap\}\,\}\,)}\\
+\tab{}PD列またはlistを破線で書き出す（実線部から始まる）\\
+\rei Dashline(\,G1,\ G2\,)\\
+\rei Dashline(\,G1,\ 1.5\,)\hfill（実線部，ギャップとも 1.5倍）\\
+\rei Dashline(\,G1,\ G2,\ 1.5,\ 0.5\,)\\
+\hfill（実線部 1.5倍，ギャップ 0.5倍） 
+
+\tab{Invdashline(\,PD列またはlist\{, len\{, gap\}\,\}\ )}\\
+\tab{}破線を書き出す（ギャップから始まる）
+
+\tab{Dottedline(\,PD列またはlist\{, len \{, size\}\,\}\,)}\\
+\tab{}点線を書き出す\\
+\rei Dottedline(\,G1,\ G2\,)\\
+\rei Dottedline(\,G1,\ 1.5\,)　（間隔 1.5倍）\\
+\rei Dottedline(\,G1,\ G2,\ 1,\ 0.5\,)（点の大きさ 0.5倍）
+
+\tab{Arrowline(\,A, B \{, 鏃の大きさ \{, 開き角 \{, 鏃位置 \{, 太さ\}\,\}\,\} \{, \\
+\hspace*{20zw}形と位置
+,\ "Cut=切り込み率"\}\,\}\,)}\\
+
+\tab{}点AからBに向けて矢印をかくコードを書き出す\\
+\rei Arrowline(\,A,\ B\,)\\
+\rei Arrowline(\,A,\ B,\ 2,\ 10,"l"\,)\\
+\rei Arrowline(\,A,\ B,\ 1,\ 18,\ 0.5,\ 2,"lc"\,)\\
+\hspace*{6zw}\chuu ABの中点の位置に鏃をかく
+
+
+\tab{Arrowhead(\,位置,\ 方向\{,\ 大きさ\{,\ 角度\},\ 形状と位置,\ "Cut=切り込み率"\}\,)}
+
+\tab{}鏃だけを書き出す\\
+\rei Arrowhead(\,c(0,\ 0),\ c(2,\ 1),\ "cl"\,)
+
+\tab{Arrowhead(\,P,\ PD\{,\ 大きさ\{,\ 角度\},\ 形状と位置\}\,)}\\
+\tab{}PD上の点Pに矢印を描く\\
+\rei Arrowhead(\,c(1,\ 1),\ Plotdata("x\^{}2","x"\,))\\
+\chuu 鏃はライン
+
+\tab{Drwpt(点の列 \{, 塗り\})}点を書き出す（大きさは Setptで指定，塗りのデフォルトは1）\\
+\rei Drwpt(\,c(2,\ 3),\ c(5,\ 7)\,)
+
+\tab{Drwxy(\,)}座標軸を書き出す
+
+\tab{Htickmark( 座標, 方向, 数式 , $\cdots$ )}\\
+\tab{}横軸上に目盛りをつける（方向のデフォルトは"s"\,）
+
+\tab{Vtickmark( 座標, 方向, 数式 , $\cdots$ )}\\
+\tab{}縦軸上に目盛りをつける（方向のデフォルトは"w"\,）\\
+\rei Htickmark(\,$-1$,"$-1$",\ 1,"1",\ pi,"$\backslash$pi"\,)\\
+\rei Vtickmark(\ $-1$,"e","$-1$",\ 1,"ne","1"\,)\\
+\rei Htickmark(c(2,1),\ "a"\,)\\
+\chuu 数式を省略すると目盛りだけをつける
+
+\tab{Htickmark("m..n..r..")}横軸全体に目盛りをつける
+
+\tab{Vtickmark("m..n..r.."\,)}縦軸全体に目盛りをつける\\
+\chuu m（目盛りの間隔），n（文字を何目盛り毎に），r（数の倍率）\\
+\rei Htickmark("mn")（目盛りと数を１間隔でつける）\\
+\rei Vtickmark("m1n2r1.5")（1.5倍した数を１つとびに）
+
+\tab[13zw]{Shade(\,PD列またはlist\{, 濃さ\}\,)\mbox{}}\\
+\tab{}閉曲線の内部を塗りつぶし　濃さ: 0 〜 1（デフォルトは１）
+
+\subsection{文字の書き入れ}
+
+\tab{Letter(\ 点, 方向, 文字列 ，・・・)}\\
+\tab{}点の位置の「方向」に文字列をかく（複数可）\\
+\rei Letter(\,c(4,\ 3),"n","文字")\\
+\chuu 位置は"n", "s", "e", "w", "ne", "nw", "se", "sw", "c"\\
+\chuu "n1"　nの方向にさらに1目盛長だけ離す．\\
+\chuu "s-1w2"　s方向に-1目盛長，w方向に2目盛長だけ離す．
+
+\tab{Expr(\ 点, 方向, 数式，・・・)}点の位置の「方向」に数式をかく（\$\$は不要）\\
+\rei Expr(c(4, 3),"s","y=f(x)")
+
+\tab{Letterrot(\ 点, 方向\ \{, 接線方向\ \{, 法線方向\}\}, 文字列)}\\
+\tab{Exprrot(\ 点, 方向\ \{, 接線方向\ \{, 法線方向\}\}, 文字列)}\\
+\tab{}「点」の位置に「方向」を右横方向にするように文字を傾けて書く\\
+\chuu 「接線方向」，「法線方向」はそれぞれの微少移動量\\
+\chuu graphicxパッケージが必要
+
+\tab{Texletter(\ 点(list形式), 方向, 文字列 ，・・・)}\\
+\tab{}点の位置の「方向」に文字列をかく（複数可）\\
+\rei Texletter(\,list(4,,\ "\#1"),"n","文字")\\
+\chuu 位置は"n", "s", "e", "w", "ne", "nw", "se", "sw", "c"\\
+\chuu 点の位置はリスト形式で，\TeX の文字列を渡すことができる．
+
+\tab{Openphr(\,ユーザーコマンド名\,)，Closephr(\,)}\\
+\tab{}$\backslash$defのコマンド定義\\
+\rei Openphr("$\backslash$p"\,)\\
+\reicr 　Texcom("$\backslash$begin\{array\}\{cc\}"\,)\\
+\reicr 　Texcom("5 \& 3$\backslash\backslash$"\,)\\
+\reicr 　Texcom("8 \& 7"\,)\\
+\reicr 　Texcom("$\backslash$end\{array\}\$"\,)\\
+\reicr Closephr(\,)
+
+\tab{Openpar(\,ユーザーコマンド名，幅 \{ 縦方向 \}\,), Closepar(\,)}\\
+\tab{}minipage環境を含む$\backslash$def コマンド定義\\
+\rei Openpar("$\backslash$s","5cm", "t"\,)\\
+\reicr 　Texcom("$\backslash$input\{rei\}"\,)\\
+\reicr Closepar(\,)\\
+\reicr Letter(\,c(2,\ 3),"se","$\backslash$s"\,)\\
+\chuu 縦方向のデフォルトは c
+
+\tab{Fontsize("記号"\,)}文字サイズの変更コマンドを書き出す\\
+\tab[13zw]{}"n", "s", "f",%
+ "ss", "t", \\
+\tab[13zw]{}"la", "La", %
+"LA", "h", "H"（""\,のとき"n"\,）\\
+\rei Fontsize("s")
+
+\tab{Texcom("コマンド"\,)}\TeX コマンドのコードを書き出す\\
+\rei Texcom("$\backslash$newcounter\{tmpct\}")\\
+\chuu "newline" のとき，空白行を挿入
+
+\tab{Bowname(弓形，数式 )}弓形PDの中央に式を書き入れる\\
+\rei Gb$<$- Bowdata( A, B, 1, 0.5)\\
+\reicr Bowname(Gb, "d")
+
+\tab{Bownamerot( 弓形，数式\{，向き\} )}\\
+\tab{}弓形PDの中央に式を傾けて書き入れる\\
+\chuu graphicxパッケージが必要\\
+\chuu 向きに $-1$を指定すると向きが反対になる
+
+\tab{Xyzaxparaname(\,軸データ \{, 各軸のラベル名 \}\{，離れ\}\,)}\\
+\tab{}平行投影で，各軸のラベルを書き入れる\\
+\rei Gax$<$- Xyzax3data( "x$<$- c(0,1)", "y$<$- c(0,1)", "z$<$- c(0,2)" )\\% ($x,y,z$を書く）\\
+\reicr Xyzaxparaname(Gax)\\% ($x,y,z$を書く）\\
+\chuu "\yen sin x" など文字列で指定することもできる
+
+\tab{Xyzaxpersname(\,軸データ \{, 各軸のラベル名 \}\{，離れ\}\,)}\\
+\tab{}一点投影で，各軸のラベルを書き入れる\\
+\rei Xyzaxpersname(Gax, "", "", "w")
+
+%\vspace*{-0.5zw}
+
+%\vspace*{-2zw}
+
+\section{プロットデータの操作}
+
+\subsection{平面}
+
+\tab{Joingraphics(PD1,PD2,・・・\{ , "L" \})}\\
+\tab{}複数のPDを１つのPDに合併 \\
+\reicr G11$<$- Joingraphics(\,F9,\ G10\,)\\
+\chuu "L"を指定したときは，結果をリストで返す
+
+\tab{Dividegraphics(PD)}PDを要素に分けたlistを作成\\
+\rei FL$<$- Dividegraphics(G1)\\
+\rei G1$<$- Op(1, FL)
+
+\tab{Joincrvs(\,PD列\,)}複数の曲線をつなげたPDを作成（2D, 3D共通）\\
+\rei G3$<$- Joincrvs(\,G1,\ Invert(G2)\,)\\
+\chuu 曲線は隣接する順番で指定する
+
+\tab{Invert( PD )}PDの点列を逆順にしたPDを作成（2D, 3D共通）
+
+%\tab{connectseg(PD)}細切れの線分を結ぶPDリストを作成\\
+%\hspace*{-4zw}\rei connectseg(implicitplot(x\textasciicircum 2+y\textasciicircum 2$<$- 1,x$<$- -2..2,y$<$- -2..2))
+
+\tab{Partcrv(\,s1,\ s2, PD\,)}曲線PD上のパラメータ値s1, s2を両端とするPDを作成\\
+\chuu s1 $>$ s2 の場合\\
+\hspace*{180pt}s2から終点，始点からs1までのPDのリストを出力\\
+\hspace*{180pt}PDが閉曲線のときは上の２つのPDをつなげる．
+
+\tab{Partcrv(\,A, B, PD\,)}曲線PD上の点A, Bの間の部分曲線のPDを作成\\
+\chuu 
+\begin{mini}{23zw}%
+A, Bの順序が逆転しているとき，Bから終点，始点からAまでのPDのリスト（閉のとき接続）を出力
+\end{mini}\vspace{2mm}\\
+\rei G1$<$- Plotdata(\,"x\textasciicircum 2",\ "x=c(XMIN, XMAX)"\,)\\
+\reicr G2$<$- Partcrv(\,c(0,0),\ c(1,1),\ G1)\\
+\reicr G3$<$- Partcrv(\,c(1,1),\ c(0,0),\ G1)
+
+
+\tab{Intersectcrvs(PD1, PD2)}２曲線PD1, PD2の交点リストを作成\\
+\rei G1$<$- Paramplot("c(cos(t),\ sin(t))",\ "t=c(0, 2*\%pi)")\\
+\reicr G2$<$- Plotdata("x+1/2",\ "x")\\
+\reicr PL$<$- Intersectcrvs(\,G1,G2\,)
+
+\tab{IntersectcrvsPp(PD1, PD2)}\\
+\tab{}２曲線PD1, PD2の交点とパラメータのリストを作成
+
+\tab{Intersectlines(L1, L2)}２直線の交点を返す\\
+\rei L1$<$- Lineplot(A, B)\\
+\reicr L2$<$- Lineplot(C, D)\\
+\reicr P$<$- Intersectcrvs(\,L1,L2\,)
+
+\tab{Nearestpt(\ P, PD\ )}点Ｐに最も近い曲線PD上の点とパラメータ値のリストを返す\\
+\rei Pp$<$- Nearestpt(\,c(0,\ 1),\ G1\,)\\
+\reicr A$<$- Op(1,Pp)
+
+\tab{Nearestpt(\,PD1,\ PD2\,)}%
+PD1の節点のうち、PD2に最も近い点データのリストを返す\\
+\rei Pp$<$- Nearestpt(\,G1,\ G2)\\
+\reicr A$<$- Op(1,Pp)
+
+\tab{Ptstart(\,PD\,), Ptend(\,PD)\,}曲線PDの始点（終点）を返す
+
+
+%\tab{Ptlistcrv(\,PD)\,}曲線PDの節点データリストを返す
+
+\tab{Numptcrv(\,PD)\,}曲線PDの節点データの個数を返す
+
+\tab{Ptcrv(\,n,\,PD)\,}曲線PDのn番目の節点を返す
+
+\tab{Pointoncrv(\,s,\ PD\,)}PD上の点でパラメータ値sをもつ点を返す\\
+\rei Pointoncrv(5.3,\ G1)\\
+\reicr 　（5番目の線分上で0.3の位置にある点）
+
+\tab[13zw]{Paramoncrv(P \{,\ n \},\ PD)}%
+PD（のn番目の線分）上にある点Pのパラメータを返す\\
+\rei Paramoncrv( c(3,\ 2), G1)\\
+\rei Paramoncrv(c(2,\ 4), 5, G1)
+
+%\tab[13zw]{Droppoint(PD \{, 限界値\})} 限界値以下の隣接点を落として点を少なくする．\\
+%\chuu 限界値のデフォルト値は0.02
+
+%\tab{Powersum(\,係数リスト（list）, 変数値x \{, 中心c\} \,)}\\
+%\tab{}$\displaystyle \sum_{k= 0}^n a_n (x-c)^k$の値を返す．（Plotdataで使用）\\
+%\chuu 係数リストは list( 添字リスト，係数リスト)の形\\
+%\rei Tmp1$<$- 0:20\\
+%\reicr Tmp2$<$- ones(length(Tmp1))./factorial(Tmp1)\\
+%\reicr CL$<$- list(Tmp1, Tmp2)\\
+%\reicr G1$<$- Plotdata( "Powersum( CL, x)", "x")
+
+%\tab{FouriercoeffL(関数F, 周期T, 項数N )}\\
+%\tab{}FのN項までのフーリエ係数リスト(list）を求める．\\
+%\chuu list( 定数項, 余弦係数（行）, 正弦係数（行）, 周期 ) の形\\
+%\chuu Fouriersumで用いる．
+
+%\tab{Fouriersum( フーリエ係数リスト, 変数値)}\\
+%\tab{}フーリエ級数の値を返す．（Plotdataで使用）\\
+%\rei deff( "Out$<$- Fun(x)", "Out$<$- abs(x)")\\
+%\reicr CL$<$- FouriercoeffL(Fun, 2, 30)\\
+%\reicr G2$<$- Plotdata("Fouriersum(CL, x)", "x", "N$<$- 300" )
+
+\subsection{空間}
+
+\tab{Partcrv3(\,S1,\ S2, PD\,)}曲線PD上のパラメータ値S1,S2を両端とするPDを作成
+
+\tab{Rotate3pt(点, V1, V2\{, C\})}\\
+\tab{}回転移動した点を返す（Rotate3data参照）
+
+\tab{Rotate3ptc(点, 軸, 角度\{, C\})}\\
+\tab{}回転移動した点を返す（Rotate3data参照）
+
+
+\tab{Parapt(\,点\,)\ ,\ \ Perspt(\,点\,)}\\
+\tab{}空間の点を投影した点を返す
+
+\tab{Zparapt(\,点\,)\ ,\ \ Zperspt(\,点\,)}\\
+\tab{}投影した平面を$X,\ Y$としたときの$Z$座標
+
+\tab{Invparapt(\,P,\ PD3d\,)\ ,\ \ Invperspt(\,P,\ PD3d\,)}\\
+\tab{}PD3dを投影したPD上の点Pに対応するPD3d上の点\\
+\chuu Pd3dが線分のときは，延長線上の点でもよい．
+
+\tab{Invperspt(\,s,\ PD2d,\ PD3d\,)\ ,\ \ Invperspt(\,s,\ PD2d,\ PD3d\,)}\\
+\tab{}PD2d上のパラメータ値sの点に対応するPD3d上の点
+
+\tab{Cancoordpers(\,投影座標\,)}平行投影で「投影座標」で表される点の標準座標
+
+\tab{Cancoordpers(\,投影座標\,)}一点投影で「投影座標」で表される点の標準座標
+
+\tab{Viewfrom(Vec, 曲線3D \{, 非表示オプション\})}\\
+\tab{}一時的にVec方向からみた射影データを返す\\
+\rei Out1$<$- Viewfrom(c(0,0,1), G1) （表示してデータを作成）\\
+\rei Out1$<$- Viewfrom(c(0,0,1), G1, 0) （データのみを作成）
+
+
+%\section{曲面の描画}
+
+%%
+%\subsection{関数データリストの定義}
+
+%\begin{enumerate}[\hspace*{1zw}(1)]
+%\item
+%$z$<$- f(x,\ y)\ \ (a \leqq x \leqq b,\ c \leqq y \leqq d)$のとき\vspace{1mm}\\
+%\hspace*{4zw}list(\,関数,\ xの範囲,\ yの範囲\,)\\
+%\hspace*{-6zw}\reicr \verb|Fd$<$- list("z$<$- x^2+y","x$<$- c(-1,2)","y$<$- c(-2,1)")|\\
+%\hspace*{-4zw}\chuu 変数名 x, y が関数名にある文字と重ならないようにする．
+
+%\item
+%$z$<$- f(x,\ y)\ ,x$<$- x(u,\ v),\ ,y$<$- y(u,\ v)\ \  (a \leqq u \leqq b,\ c \leqq v \leqq d)$のとき\vspace{1mm}\\
+%\hspace*{4zw}list(\,関数z,\ 関数x,\ 関数y,\ uの範囲,\ vの範囲\{,\ 境界の指定\}\,)\\
+%\hspace*{-6zw}\rei \verb|Fd$<$- list("z$<$- sin(2*sqrt(abs(x^2+y^2))","x$<$- R*cos(T)",|\\
+%\hspace*{-6zw}\reicr \verb|  "y$<$- R*sin(T)","R$<$- c(0,4)","T$<$- c(0,2*%pi)","e")|\\
+%\hspace*{-4zw}\chuu "e"は$r$<$- 1,\ 0\leqq t\leqq 2\pi$で定まる閉曲線を表す．\\
+%\hspace*{-4zw}\chuu sqrtの中はabsをつける（計算誤差のため）．
+
+%\item
+%$x$<$- x(u,\ v),\ y$<$- y(u,\ v),\ z$<$- z(u,\ v)\  (a \leqq u \leqq b,\ c \leqq v \leqq d)$のとき\\
+%\hspace*{4zw}list(\,"p",\ 関数x\ 関数y,\ 関数z,\ Uの範囲,\ Vの範囲\{,\ 境界の指定\}\,)\\
+%\hspace*{-6zw}\rei \verb|Fd$<$- list("p","x$<$- sin(U)*cos(V)","y$<$- sin(U)*sin(V)",|\\
+%\hspace*{-6zw}\reicr \verb|  "z$<$- cos(U)","U$<$- c(0,%pi)","V$<$- c(0,2*%pi),"")|
+
+%\end{enumerate}
+
+%\subsection{曲面のワイヤーフレーム図}
+
+%\tab{Sf3data(FD,\ \{,曲線の点の個数(リスト)\{,横方向の分割数,縦方向の分割数\}\})}\\
+%\tab{}曲面データリストFDの３次元ワイヤフレームデータを生成\\
+%\chuu デフォルトは　点の個数＝c(50,\ 50)，分割数$<$- 25\\
+%\chuu 点の個数を数nで指定したときは２方向ともnになる\\
+%\rei Out$<$- Sf3data(Fd)
+
+%\tab{Sfparadata(〃)}FDのワイヤフレームデータを平行投影した２次元データ
+
+%\tab{Sfpersdata(〃)}FDのワイヤフレームデータを平行投影した２次元データ
+
+%\subsection{輪郭線データの作成}
+
+%\tab{Sfbdparadata(関数データ\{,各方向の分割数,限界値1,限界値2\})}\\
+%\tab{Sfbdpersdata(関数データ\{,各方向の分割数,限界値1,限界値2\})}
+
+%\noindent
+%\hspace*{3zw}\Ltab{10zw}{各方向の分割数}曲線，陰関数のグリッド数\\
+%\hspace*{3zw}\Ltab{14zw}{}デフォルトは50\\
+%\hspace*{3zw}\Ltab{10zw}{}リストか単独の数で与える\\
+%\hspace*{3zw}\Ltab{10zw}{限界値1}同一点と見なす限界（デフォルトは0.05）\\
+%\hspace*{3zw}\Ltab{10zw}{限界値2}交点の余裕幅（デフォルトは0.2）
+
+%
+%\rei \verb|Out1$<$- Sfbdparadata(Fd,c(50,50))|\\
+%\reicr \verb|  Windisp(Projpara(Out1))|
+
+%\noindent
+%\chuu 曲面上の３次元データとして得られる．\\
+%\chuu BorderHiddenData()で
+%陰線の３次元データが得られる．\\
+%\chuu CuspData()で輪郭線の３次元データが
+%得られる．\\
+%\chuu CuspPt()でcusp点の２次元データが
+%得られる．\\
+%\chuu BorderPt()で輪郭線の交点の２次元データが
+%得られる．
+
+%\subsection{ワイヤーデータの作成}
+
+%\tab{Wireparadata(輪郭のリスト,関数データ,横の線数,縦の線数\{.分割数, 限界値1.限界値2\})}
+
+%\tab{Wirepersdata(輪郭,関数データ \{ ,横の線数,縦の線数\{.分割数, 限界値1.限界値2\}\})}
+
+%\noindent
+%\hspace*{3zw}\Ltab{10zw}{輪郭}Sfbdpersdata( Sfbdparadata ) で作成したデータ\\
+%\hspace*{3zw}\Ltab{10zw}{線}個数か値のリストで与える\\
+%\hspace*{3zw}\Ltab{10zw}{限界値1}デフォルトは0.05\\
+%\hspace*{3zw}\Ltab{10zw}{限界値2}デフォルトは0.2
+
+%
+%\rei \verb|Out2$<$- Wireparadata(Out1,Fd1,5,5)|\\
+%\reicr \verb|  Windisp(Projpara(Out1,Out2))|\\
+%\chuu WireHiddenData()で
+%陰線の３次元データが得られる．\\
+%\chuu WirePt()で輪郭線との交点の２次元データが
+%得られる．
+
+%\subsection{曲面と曲線}
+
+%\subsubsection{パラメータ平面上の曲線}
+
+%\tab{Crvonsfparadata(平面上の曲線2Dデータ,輪郭,関数データ \{,オプション\})}
+
+%\tab{Crvonsfpersdata(平面上の曲線2Dデータ,輪郭,関数データ \{,オプション\})}
+
+%\rei \verb|Fg$<$- Parametricplot("c(T, 0)","T$<$- c(0,2*\%pi)")|\\
+%\reicr \verb|  Out4$<$- Crvonsfpersdata(Fg,Out1,Fd)|\\
+%\chuu CrvonsfHiddenData()で陰線の３次元データが得られる．
+
+%
+%\subsubsection{曲面上の曲線}
+
+%\tab{Crv3onsfparadata(曲面上の曲線3Dデータ,輪郭,関数データ\{,オプション\})}
+
+%\tab{Crv3onsfpersdata(曲面上の曲線3Dデータ,輪郭,関数データ \{,オプション\})}
+
+%\rei \verb|Out5$<$- Crv3onsfparadata(Fg,Out1,Fd)|\\
+%\chuu Crv3onsfHiddenData()で陰線の３次元データが得られる．
+
+%\subsubsection{曲面外の曲線}
+
+%\tab{Crvsfparadata(曲線3D,輪郭,関数データ\{,オプション\})}
+
+%\tab{Crvsfpersdata(曲線3D,輪郭,関数データ \{,オプション\})}
+
+%\rei \verb|G2$<$- Xyzax3data("x$<$- c(-5,5)","y$<$- c(-5,5)",...|\\
+%\reicr \verb|     "z$<$- c(-5,5)")|\\
+%\reicr \verb|  Out2$<$- Crvsfparadata(G2,Out1,Fd)|\\
+%\chuu CrvsfHiddenData()で陰線の３次元データが得られる．\\
+%\chuu 曲線と曲面が交わらないときは，引数の最後に $-1$をつける．
+
+%\subsubsection{その他のコマンド}
+
+%\tab{Intersectcrvsf(曲線3D, 関数データ\{,分割数\{,限界値\}\})}\\
+%\tab{}曲線と曲面との交点（MD）を求める．
+
+%\subsection{曲面の切断}
+
+%%\tab{polarcoordx()}極座標$r,\ t$の$x$座標を与える関数を返す
+
+%%\tab{polarcoordx()}極座標$r,\ t$の$x$座標を与える関数を返す
+
+%\tab{Sfcutdata(曲面データ, 切断面データ \{, 分割数\} )}\\
+%\tab{}曲面を切ったときの切り口の3dデータを作成\\
+%\chuu 切断面は，$x,\ y,\ z$などの方程式で与える．\\
+%\hspace*{15zw}（平面の場合は，Phcutdataのように与えてもよい）\\
+%\rei \verb|Fd$<$- c("p","R*cos(T)","R*sin(T)","2*(1-R)",|\\
+%\reicr \verb|           "R$<$- c(0,1)","T$<$- c(0,2*%pi)","se")|\\
+%\reicr \verb|Out$<$- Sfcutdata(Fd,"x^2+(z-1/2)^2$<$- 1/4")|
+
+%\tab{Sfcutoffparadata(関数データ, 切断面, 符号 \{ , 分割数\} )}
+
+%\tab{Sfcutoffrawparadata(関数データ, 切断面, 符号 \{ , 分割数\} )}
+
+%\tab{Sfcutoffpersdata(関数データ, 切断面, 符号 \{ , 分割数\} )}
+
+%\tab{Sfcutoffrawpersdata(関数データ, 切断面, 符号 \{ , 分割数\} )}
+
+%\tab{}切断面で切った曲面をリッジライン法で返す
+
+%
+%\rei \verb|Fd$<$- list("z$<$- 2*(1-sqrt(abs(x^2+y^2)))","x$<$- R*cos(T)",|\\
+%\reicr \verb|      "y$<$- R*sin(T)","R$<$- c(0,1)","T$<$- c(0,2*%pi)","e")|\\
+%\reicr \verb|  Out$<$- Sfcutoffparadata(Fd,"z$<$- 1+2*x","-")|
+
+
+\section{その他}
+
+%\tab{bksl("コマンド}\,)}コマンドに$\backslash$をつけた文字列を作る\\
+%\rei　str$<$- bksl("sin x}\,)
+
+\tab{Readtextdata(ファイル名，\{開始位置\{,オプション\}\})}\\
+\tab{}%
+\begin{mini}{30zw}
+ファイルからコンマ，スペース，タブ区切りのテキストを読込み，
+データ行列を返す\vspace{2mm}
+\end{mini}\\
+\chuu オプション：\\
+\hspace*{18zw}"R=読み込み行数" （デフォルトはすべて）\\
+\hspace*{18zw}"C=読み込み列数"（デフォルトはすべて） \\
+\hspace*{18zw}"Cna=論理値"　１行を列名にするか（デフォルトTRUE） \\
+\hspace*{18zw}"Rna=論理値"　１列を行名にするか（デフォルトFALSE） \\
+\rei DL$<$- Readtextdata("dt.csv",\ c(2,\ 1),\ "R=1000",\ "C=2")
+
+\tab{Writetextdata(データフレーム，ファイル名)}\\
+\tab{}データフレームを .csvファイルに書き出す\\
+\chuu 列名は１行目におき，NAはblankにする\\
+\rei Writetextdata(Df, "ex.csv")
+
+\tab{Tonumeric(\,文字列からなるデータ行列 \{, 開始位置 \{ , 終了位置\}\}\.)}\\
+\tab{}行列の成分を数値に変換（変換できる行と列からなる部分行列）\\
+\rei Dn$<$- Tonumeric(DL)
+
+%\tab{Newlength(\,)}%
+%\begin{mini}{30zw}
+%距離変数 \verb+ \Width, \Height, \Depth +を定義する\TeX コマンドを画面に表示
+%\end{mini}
+%\\
+%\rei \prompt newlength()+\\
+%\hspace*{6zw}\reicr \verb+\newlength{\Width}+\\%
+%\hspace*{6zw}\reicr \verb+\newlength{\Height}+\\%
+%\hspace*{6zw}\reicr \verb+\newlength{\Depth}+%
+
+%\tab{Mawarikomi("幅"\,)}%
+%\begin{mini}{28zw}
+%emathのmawarikomi環境のコードを生成表示
+%\end{mini}\\
+%\rei Mawarikomi("5cm"\,)
+
+\subsection{作表}
+
+\tab{Tabledata(\{大きさ,\}\ 縦線相対幅,\ 横線相対高さ\,)}\\%
+\tab{}表のデータlistを返す\\
+\tab{}\hspace{-2zw}戻り値：PD，縦線添字，横線添字，枠縦PD，枠横PD，外枠PD\\
+\hspace*{10zw}大きさは次のベクトル\\
+\hspace*{12zw}横，縦（,\ 左margin,\ 右margin（,\ 上margin,\ 下margin))\\
+\chuu 横（縦）を -1 としたときは，縦（横）線のデータから\\
+\hspace*{16.3zw}自動的に計算される（デフォルト）\\
+\hspace*{10zw}縦線相対位置は左の罫線からの幅list（縦方向の始点，終点）\\
+\hspace*{10zw}横線相対位置は上の罫線からの幅list（横方向の始点，終点）\\
+\chuu 描画領域は自動的に設定される
+
+\rei Tmp1$<$- list(20, 30,list(30,0,10), list(0,15,20), 40)\\
+\reicr Tmp2$<$- list(15)\\
+\reicr Out$<$- Tabledata(c(150,20),Tmp1,Tmp)\\
+\reicr Tb$<$- Tabledata(Tmp1,Tmp2)
+
+\tab{Dividetable(表データ)}枠，縦罫線，横罫線を成分とするリストを返す\\
+\rei G$<$- Dividetable(Tb)（G[[1]],G[[2]],G[[3]]が枠，縦，横）
+
+\tab{Partframe(表データ,\ 開始位置，終了位置)}\\
+\tab{}枠の一部のPD\\
+\chuu 位置はそれぞれ，c(列番号,\ 行番号)\\
+\chuu 開始位置から終了位置までの反時計回りのPD\\
+\rei G$<$- Parframe(Tb,\ c(4,1),c(1,2))
+
+\tab{Findcell(表データ,\ 列番号,\ 行番号\,)}\\%
+\tab{}セルの情報list（中心，横幅／２，縦幅／２）を返す\\
+\chuu 番号は左上の位置\\
+\rei Out$<$- Findcell(Out,2,1)\\
+\chuu 番号がベクトルのときは，その範囲のセル\\
+\rei Out$<$- Findcell(Out,c(2,4),1)\\
+\chuu 番号がベクトルのときは，その範囲のセル\\
+\rei Out$<$- Findcell(Out,c(2,4),1)\\
+\tab{Findcell(表データ,\ 左セル，\{ 右セル\} )}\\
+\rei Out$<$- Findcell(Out,"A2")
+
+\tab{Diagcelldata(表データ，列番号，行番号)}\\
+\tab{}セルの対角線PDのリストを返す
+
+\tab{Putcell(表データ,\ 列番号,\ 行番号,\ 位置,\ 文字データ)}\\%
+\tab{}セルに文字列を入れるコードを出力\\
+\chuu 位置は"c", "r", "l", "u", "d", "b" \\
+\chuu u : up , d : down, b : baseline （微小移動量を付加できる）\\
+\rei Putcell(Out,2,1,"c","221")\\
+\rei Putcell(Out,"B3","l","\$ab\$")
+
+\tab{Putrow(表データ,\  行番号,\ 文字データの列)}\\%
+\tab{}１行に順に文字を書き入れる\\
+\rei Putrow(TbL, 2, "a", "b", "c" )\\
+\chuu デフォルト位置は "c"　それ以外のときはlist内で指定\\
+\chuu 複数列にわたるときは，列数を list 内で指定\\
+\rei Putrow(TbL, 2, list("r","a"), list(2, "b"), "c")\\
+\hspace*{20zw}（rの位置にa，2列とってbをおく）
+
+\tab{Putrowexpr(表データ,\  行番号,\ 文字位置,\ 文字データの列)}\\%
+\tab{}１行に順に数式を書き入れる
+
+\tab{PutcoL(表データ,\  列番号（名前）（,\ 文字データの列)}\\%
+\tab{}１列に順に文字を書き入れる\\
+\rei PutcoL(TbL, "C", "a", "b", "c" )
+
+\tab{PutcoLexpr(表データ,\  列番号(名前),\ 文字位置，文字データの列}\\%
+\tab{}１列に順に数式を書き入れる
+
+\tab{Putrowstr(表データ,\  行番号，文字位置，文字列}\\%
+\tab{}１行に文字列の文字を１つずつ書き入れる\\
+\rei Putrowstr(TbL, 1, "c", "xyz" )
+
+\tab{PutcoL(表データ,\  列番号（名前），文字位置，文字列}\\%
+\tab{}１列に文字列の文字を１つずつ書き入れる
+
+\subsection{\TeX のコマンド書き出し（メタコマンド）}
+
+\tab{Texcom("コマンド"\,)}\TeX コマンドのコードを書き出す\\
+\rei Texcom("$\backslash\backslash$begin\{minipage\}\{3cm\}")\\
+\chuu "newline" のとき，空白行を挿入
+
+
+\tab{Openphr(\,ユーザーコマンド名\,)，Closephr(\,)}\\
+\tab{}$\backslash$defのコマンド定義を始める\\
+\rei Openphr("$\backslash\backslash$p"\,)\\
+\reicr Texcom("$\backslash\backslash$begin\{array\}\{cc\}"\,)\\
+\reicr Texcom("5 \& 3$\backslash\backslash\backslash\backslash$"\,)\\
+\reicr Texcom("8 \& 7"\,)\\
+\reicr Texcom("$\backslash$end\{array\}\$"\,)\\
+\reicr Closephr(\,)
+
+\tab{Openpar(\,ユーザーコマンド名，幅\ \{,\  位置 \}\,), Closepar(\,)}\\
+\tab{}minipage環境を含む$\backslash$def コマンド定義を始める\\
+\chuu 位置のデフォルトは "c"\\
+\rei Openpar("$\backslash\backslash$s","5cm"\,)\\
+\reicr Texcom("$\backslash\backslash$input\{rei\}"\,)\\
+\reicr Closepar(\,)\\
+\reicr Letter(\,c([2,3),"se","$\backslash\backslash$s"\,)
+
+\tab{Texletter(\ 点(list形式), 方向, 文字列 ，・・・)}\\
+\tab{}点の位置の「方向」に文字列をかく（複数可）\\
+\rei Texletter(\,list(4,"\#1"),"n","文字")\\
+\chuu 位置は"n", s", "e", "w", "ne", "nw", "se", "sw", "c"\\
+\chuu 点の位置はリスト形式で，\TeX の形式で渡すことができる．
+
+\tab{Texnewctr(番号または番号のベクトル)}\\
+\tab{}\ketpic で使うカウンタ(ketpicctra,...)を定義
+
+\tab{Texctr(番号またはカウンタ名)}\\
+\tab{}番号のカウンタ名またはカウンタ名を返す
+
+\tab{Texthectr(番号)} \verb|\|the+カウンタ名の文字列を返す
+
+\tab{Texvalctr(番号)} \verb|\|value\{カウンタ名\}の文字列を返す
+
+\tab{Texsetctr(番号，文字列)}カウンタに値をセットする\TeX コマンド列を出力\\
+\rei Texsetctr(2, "1*2/3");\\
+\rei Texsetctr(2, "(-\verb|#|1)+2");
+
+\tab{Texletter(位置（list），方向，文字列)}\\
+\tab{}位置listで表される点に文字列をかく\TeX コマンド列を出力\\
+\rei Texletter(list(10,paste("-",Texvctr(2),sep="")),"ne","\verb|\|content");\\
+\rei Texletter(list(0, "\verb|#|1"), "c", "A");
+
+\tab{Texnewcmd(コマンド名，引数の個数，オプション値)}\\
+\tab{}\verb|\|newcommand を始める\TeX コマンドを出力
+
+\tab{Texrenewcmd(コマンド名，引数の個数，オプション値)}\\
+\tab{}\verb|\|renewcommand を始める\TeX コマンドを出力
+
+\tab{Texend()}\TeX のコマンド定義を終わる\TeX コマンドを出力
+
+\tab{Texfor(カウンタ番号，初期値，終了値)}\\
+\tab{}\TeX のループ構造を始める．\\
+\chuu   初期値，終了値は文字列で与える．\\
+\rei Texfor(1,"1","\verb|#|1");
+
+\tab{Texendfor(カウンタ番号)}\TeX のループ構造を終える．\\
+\rei Texendfor(1);
+
+\tab{Texforinit()}\TeX のループ構造を初期化
+
+\tab{Texif(数値条件\ \{ ,1 \})}\TeX のif構造を始める．（ifnumまたは ifdim）\\
+\chuu 条件は文字列で与える．\\
+\chuu 1を追加したときは　ifdim\\
+\rei Texif("Texctr(1)\verb|<#|2");
+
+\tab{Texelse()}\TeX のelseブロック．
+
+\tab{Texendif()}\TeX のif構造を終える．
+%\tab{Setmark()}マークシート用マークのコードを出力
+
+%\tab{Putdashmark(表データ,\ 列番号,\ 行番号,文字列or番号)}\\
+%\rei Putdashmark(Out,2,1,0:9);
+
+%\tab{Putcirmark(表データ,\ 列番号,\ 行番号)}
+
+%\tab{Putrecmark(表データ,\ 列番号,\ 行番号}
+
+\subsection{カラー設定}
+
+\tab{Setcolor(色 \{, 濃さ\})}色を設定\\
+\chuu colorパッケージ必要\\
+\hspace*{2zw} 色は，次の文字列または [c,m,y,k]のベクトル\\
+\hspace*{2.5zw}"greenyellow"[0.15,0,0.69,0],
+"yellow"[0,0,1,0],
+"goldenrod"[0,0.1,0.84,0],
+"dandelion"[0,0.29,0.84,0]\\
+\hspace*{2.5zw}"apricot"[0,0.32,0.52,0],
+"peach"[0,0.5,0.7,0],
+"melon"[0,0.46,0.5,0],
+"yelloworange"[0,0.42,1,0]\\
+\hspace*{2.5zw}""orange"[0,0.61,0.87,0],
+"burntorange"[0,0.51,1,0],
+"bittersweet"[0,0.75,1,0.24],\\
+\hspace*{2.5zw}"redorange"[0,0.77,0.87,0]\\
+\hspace*{2.5zw}"mahogany"[0,0.85,0.87,0.35],
+"maroon"[0,0.87,0.68,0.32],
+"brickred"[0,0.89,0.94,0.28],
+"red"[0,1,1,0]\\
+\hspace*{2.5zw}"orangered"[0,1,0.5,0],
+"rubinered"[0,1,0.13,0],
+"wildstrawberry"[0,0.96,0.39,0],\\
+\hspace*{2.5zw}"salmon"[0,0.53,0.38,0]\\
+\hspace*{2.5zw}"carnationpink"[0,0.63,0,0],
+"magenta"[0,1,0,0],
+"violetred"[0,0.81,0,0],
+"rhodamine"[0,0.82,0,0]\\
+\hspace*{2.5zw}"mulberry"[0.34,0.9,0,0.02],
+"redviolet"[0.07,0.9,0,0.34],
+"fuchsia"[0.47,0.91,0,0.08],\\
+\hspace*{2.5zw}"lavender"[0,0.48,0,0]\\
+\hspace*{2.5zw}"thistle"[0.12,0.59,0,0],
+"orchid"[0.32,0.64,0,0],
+"darkorchid"[0.4,0.8,0.2,0],
+"purple"[0.45,0.86,0,0]\\
+\hspace*{2.5zw}"plum"[0.5,1,0,0],
+"violet"[0.79,0.88,0,0],
+"royalpurple"[0.75,0.9,0,0],
+"blueviolet"[0.86,0.91,0,0.04]\\
+\hspace*{2.5zw}"periwinkle"[0.57,0.55,0,0],
+"cadetblue"[0.62,0.57,0.23,0],
+"cornflowerblue"[0.65,0.13,0,0],\\
+\hspace*{2.5zw}"midnightblue"[0.98,0.13,0,0.43]\\
+\hspace*{2.5zw}"navyblue"[0.94,0.54,0,0],
+"royalblue"[1,0.5,0,0],
+"blue"[1,1,0,0],
+"cerulean"[0.94,0.11,0,0]\\
+\hspace*{2.5zw}"cyan"[1,0,0,0],
+"processblue"[0.96,0,0,0],
+"skyblue"[0.62,0,0.12,0],
+"turquoise"[0.85,0,0.2,0]\\
+\hspace*{2.5zw}"tealblue"[0.86,0,0.34,0.02],
+"aquamarine"[0.82,0,0.3,0],
+"bluegreen"[0.85,0,0.33,0],\\
+\hspace*{2.5zw}"emerald"[1,0,0.5,0]\\
+\hspace*{2.5zw}"junglegreen"[0.99,0,0.52,0],
+"seagreen"[0.69,0,0.5,0],
+"green"[1,0,1,0],
+"forestgreen"[0.91,0,0.88,0.12]\\
+\hspace*{2.5zw}"pinegreen"[0.92,0,0.59,0.25],
+"limegreen"[0.5,0,1,0],
+"yellowgreen"[0.44,0,0.74,0],\\
+\hspace*{2.5zw}"springgreen"[0.26,0,0.76,0]\\
+\hspace*{2.5zw}"olivegreen"[0.64,0,0.95,0.4],
+"rawsienna"[0,0.72,1,0.45],
+"sepia"[0,0.83,1,0.7],
+"brown"[0,0.81,1,0.6]\\
+\hspace*{2.5zw}"tan"[0.14,0.42,0.56,0],
+"gray"[0,0,0,0.5],
+"black"[0,0,0,1],
+"white"[0,0,0,0]
+
+\end{document}
+
+\newpage
+
+\section{内部コマンド}
+
+\tab{CalcHeight}
+
+\tab{CalcWidth}
+
+\tab{Dataindex}
+
+\tab{Gaiseki}
+
+\tab{InWindow}
+
+\tab{Kouten}
+
+\tab{KoutenList}
+
+\tab{Koutenseg}
+
+\tab{Kyoukai}
+
+\tab{MakeBowdata}
+
+\tab{MakeCurves}
+
+\tab{Makehasen}
+
+\tab{Makeshasen}
+
+\tab{MeetWindow}
+
+\tab{Mixmake}
+
+\tab{Naigai}
+
+\tab{Naiseki}
+
+\tab{Vecnagasa(A, B)}$<$- norm(B-A)
+
+\tab{Makevaltable}
+
+\tab{Connectseg}
+
+
+
+\end{document}
diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/refketlayer20161211J.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/refketlayer20161211J.tex
new file mode 100644
index 00000000000..630e19f2a9f
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/refketlayer20161211J.tex
@@ -0,0 +1,273 @@
+\documentclass[a4j]{jarticle}
+
+\usepackage{ketpic,ketlayer}
+
+\usepack
+
+\input{refstyle}
+
+\setmargin{20}{20}{15}{25}
+
+\begin{document}
+
+\begin{flushright}
+2016.12.11
+\end{flushright}
+
+
+\begin{center}
+{\bf \huge \ketpic\ style ---ketlayer---}\vspace{3mm}\\
+\end{center}
+
+\section{スタイル名}
+\tab{ketlayer.sty,\ ketlayer2e.sty(pict2e必要)}
+
+\section{概要}
+追記（コメント，メモ，挿絵）用の環境，マクロを定義．\\
+\hspace*{5zw}ketpic.sty も読んでおく．\\
+\hspace*{5zw}graphicx,\ color も必要
+
+\section{環境}
+
+\tab{\bs begin\br{layer}[方眼の水平移動]\br{W}\br{H}---\bs end\br{layer}}\\
+\tab{}メモを書くためのpicture環境を定義して，方眼を描く．\\
+\chuu 方眼の水平移動のデフォルトは 0\\
+\chuu $\mathrm{H}=0$のときは，方眼を描かない．\\
+\chuu $\mathrm{H}<0$のときは，上側に方眼を描く．\\
+\rei \bs begin\br{layer}\br{170}\br{30}
+
+\vspace{0.5\baselineskip}
+
+\begin{layerv}{0}{30}
+
+\end{layerv}
+
+\vspace{7\baselineskip}
+
+%\tab{\bs begin\br{layerv}[方眼の水平移動]\br{縦方向の移動}\br{H}---\bs end\br{layerv}}\\
+%\tab{}縦方向の移動をし，水平方向は紙幅から自動計算．縦方向は下が＋\\
+%\chuu 該当部分の下におき，$-$で指定するのが普通
+
+\tab{\bs begin\br{layerg}[1 or 0]\br{C}---\bs end\br{layerg}}
+
+\tab{}C（図など）の下におき，Cの縦幅だけ方眼をおく\\
+\chuu オプション引数(def=1)：１のとき方眼を描き，０のとき描かない
+
+\section{シンボル}
+
+
+\begin{layer}{170}{0}
+
+\putnotec{30}{35}{\cirscoremark{0.8}}
+
+\putnotec{60}{35}{\scirscoremark{0.8}}
+
+\putnotec{90}{35}{\triscoremark{0.8}}
+
+\putnotec{120}{35}{\crosscoremark{0.8}}
+
+\end{layer}
+
+
+%\tab[6cm]{\bs circlemark[thickness]\br{size}}円\\
+%\chuu サイズは直径10mmからの倍率で与える．\\
+%\chuu thicknessのデフォルトは　8 ( milli inch）
+
+%\tab[6cm]{\bs remarkmark[thickness]\br{size}}注意マーク
+
+\tab[6cm]{\bs cirscoremark[thickness]\br{size}}手がきの2重丸
+
+\tab[6cm]{\bs scirscoremark[thickness]\br{size}}手がきの単丸
+
+\tab[6cm]{\bs triscoremark[thickness]\br{size}}手がきの三角
+
+\tab[6cm]{\bs crosscoremark[thickness]\br{size}}手がきのバツ
+
+\vspace{6\baselineskip}
+
+\section{マクロ一覧}
+
+\begin{layer}{160}{0}
+
+\putnotee{120}{20}{\fbox{$\dfrac{1}{2}$}}
+
+\end{layer}
+
+\tab[14zw]{\bs putnotec\br{x}\br{y}\br{Char}}(x,\ y)を中心にCharを書く
+
+\tab[14zw]{\bs putnotee\br{x}\br{y}\br{Char}}(x,\ y)の右にCharを書く
+
+\tab[14zw]{\bs putnotew\br{x}\br{y}\br{Char}}(x,\ y)の左にCharを書く
+
+\tab[14zw]{\bs putnotes\br{x}\br{y}\br{Char}}(x,\ y)の下にCharを書く
+
+\tab[14zw]{\bs putnoten\br{x}\br{y}\br{Char}}(x,\ y)の上にCharを書く
+
+\tab{\bs putnotene\br{x}\br{y}\br{Char}\ ,\ 
+\bs putnotenw\br{x}\br{y}\br{Char}}
+
+\tab{\bs putnotese\br{x}\br{y}\br{Char}\ ,\ 
+\bs putnotesw\br{x}\br{y}\br{Char}}
+
+\noindent
+\rei putnotee\br{20}\br{5}\br{\bs fbox\br{\$\bs dfrac\br{1}\br{2}\$}}
+
+\mbox{}
+
+\begin{layer}{160}{0}
+
+\lineseg[16]{135}{25}{30}{25}
+
+\arrowlineseg[16]{130}{50}{10}{45}
+
+\end{layer}
+
+\tab{\bs lineseg[thickness]\br{$x$}\br{$y$}\br{$L$}\br{$\theta$}}\\
+\tab{}点$(x, \ y)$から長さ$L$の線分を$\theta^{\circ}$
+方向に描く（単位はmm）\\
+\rei \bs lineseg[16]\br{130}\br{20}\br{30}\br{25}\\
+\chuu thicknessの単位は　milli inch（デフォルト=12）\\
+\chuu $x,\ y,\ \theta$ は小数でもよい．
+
+\tab{\bs dashlineseg[thickness]\br{$x$}\br{$y$}\br{$L$}\br{$\theta$}}\\
+\tab{}点$(x, \ y)$から長さ$L$の破線を$\theta^{\circ}$
+方向に描く（単位はmm）
+
+\tab{\bs arrowlineseg[thickness]\br{$x$}\br{$y$}\br{$L$}\br{$\theta$}}\\
+\tab{}矢印を描く（鏃は始点に描く）\\
+\rei \bs arrowlineseg[16]\br{30}\br{20}\br{10}\br{45}
+
+\tab[13zw]{\bs arrowhead[size]\br{$x$}\br{$y$}\br{$\theta$}}鏃だけを描く
+
+\mbox{}
+
+%\tab{\bs boxline[線幅]\br{x}\br{y}\br{W}\br{H}}\\
+%\tab{}(x,\ y)の右上(ne)に幅W，高さHの矩形を描く．\\
+%\chuu 線幅のデフォルトは8 (milli inch）\\
+%\chuu n,\ s など8方向＋c を付加すれば，それぞれの方向に描く\\
+%\rei \bs boxlinen\br{30}\br{20}\br{50}\br{5}
+
+\tab{\bs boxframe+dir[thickness]\br{x}\br{y}\br{W}\br{H}\br{文字}}\\
+\tab{}(x,\ y)のdir方向に幅W，高さHの矩形を描き，中に文字を入れる\\
+\chuu dir=n,\ s,\ e,\ w,\ ne,\ nw,\ se,\ sw,\ c \\
+\rei \bs boxframen\br{30}\br{20}\br{50}\br{5}\br{}
+
+%\tab{\bs dashboxline[線幅]\br{x}\br{y}\br{W}\br{H}}\\
+%\tab{}(x,\ y)の右上(ne)に幅W，高さHの点線の矩形を描く．\\
+%\chuu 線幅のデフォルトは8 (milli inch）\\
+%\chuu 8方向＋c については，\bs boxlineと同じ
+
+\tab{\bs dashboxframe+dir[thickness]\br{x}\br{y}\br{W}\br{H}\br{文字}}\\
+\tab{}(x,\ y)のdir方向にギザの矩形を描き，中に文字を入れる\\
+\chuu dir=n,\ s,\ e,\ w,\ ne,\ nw,\ se,\ sw,\ c 
+
+\tab{\bs jaggyboxframe+dir[thickness]\br{x}\br{y}\br{W}\br{H}\br{文字}}\\
+\tab{}(x,\ y)のdir方向にギザ四角形を描き，中に文字を入れる\\
+\chuu dir=n,\ s,\ e,\ w,\ ne,\ nw,\ se,\ sw,\ c 
+
+\tab{\bs dialboxframe+dir[thickness]\br{x}\br{y}\br{W}\br{H}\br{文字}}\\
+\tab{}(x,\ y)のdir方向にダイヤ型からなる矩形を描き，中に文字を入れる\\
+\chuu dir=n,\ s,\ e,\ w,\ ne,\ nw,\ se,\ sw,\ c 
+
+\tab{\bs eraser+dir[枠]\br{$x$}\br{$y$}\br{W}\br{H}}\\
+\tab{}$(x,\ y)$のdir方向の長方形の内部を消す\\
+\chuu 枠=0 とすると枠線を描かない（デフォルトは 1）\\
+\chuu dir=n,\ s,\ e,\ w,\ ne,\ nw,\ se,\ sw,\ c 
+
+\tab{\bs shadebox+dir[枠描画]\br{$x$}\br{$y$}\br{W}\br{H}\br{D}\br{色}}\\
+\tab{}$(x,\ y)$のdir方向に幅W，高さHの矩形の内部を濃さDで塗る\\
+\chuu 枠描画のデフォルトは 0（枠線を描かない）\\
+\chuu dir=n,\ s,\ e,\ w,\ ne,\ nw,\ se,\ sw,\ c 
+
+\vspace{\baselineskip}
+
+\begin{layer}{160}{0}
+
+\boxframese[24]{10}{0}{30}{16}{boxframe}
+\dashboxframese{50}{0}{30}{16}{dashboxframe}
+\jaggyboxframese{90}{0}{30}{16}{jaggyboxframe}
+\diaboxframese{130}{0}{30}{16}{diaboxframe}
+\shadeboxse{10}{0}{30}{16}{0.5}{green}
+
+\end{layer}
+
+\newpage
+
+\tab{\bs popframe[thickness]\br{x}\br{y}\br{Ds}\br{色s}\br{Dp}\br{色p}\br{色f}\br{文字}}\\
+\tab{}(x,\ y)の右下(se)に文字入り矩形を描き，濃さDsの陰をつける\\
+\chuu 色p : 背景色，色f : 枠の色\\
+\chuu 矩形の大きさは文字から自動計算する\\
+\chuu 線の太さ(thickness)のデフォルトは8\\
+\chuu 文字列の幅$\leqq 200mm$，高さ$\leqq 100mm$\\
+\rei \bs popframe\br{0}\br{5}\br{0.5}\br{black}\br{1}\br{yellow}\br{yellow}\br{タイトル}
+
+\tab{\bs colorframe[thickness]\br{x}\br{y}\br{Dp}\br{色p}\br{色f}\br{文字}}\\
+\tab{}(x,\ y)の右下(se)に文字入り矩形を描き，背景を色pで塗る\\
+\chuu 矩形の大きさは文字から自動計算する\\
+\chuu 線の太さ(thickness)のデフォルトは8\\
+\chuu 文字列の幅$\leqq 200$mm，高さ$\leqq 100$mm\\
+\rei \bs colorframe\br{100}\br{5}\br{0.3}\br{green}\br{blue}\br{文字列}
+
+\begin{layer}{160}{0}
+\popframe{60}{5}{0.3}{black}{1}{yellow}{yellow}{\Large タイトル}
+\colorframe{100}{5}{0.3}{green}{blue}{\Large\bf 強調文字}
+\end{layer}
+
+\vspace{15mm}
+
+\begin{layer}{160}{0}
+
+\hjaggyline{130}{10}{25}
+
+\vjaggyline{140}{20}{15}
+
+\end{layer}
+
+%\vspace{6\baselineskip}
+
+\tab{\bs hjaggyline[thickness]\br{x}\br{y}\br{W}}\\
+\tab{}(x,\ y)から左に幅Wのギザ線を描く．\\
+\chuu bを付加すると，線の出方が逆になる．
+
+\tab{\bs vjaggyline[thickness]\br{x}\br{y}\br{W}}\\
+\tab{}(x,\ y)から下に幅Wのギザ線を描く．\\
+\chuu bを付加すると，線の出方が逆になる．
+
+\tab{\bs circleline[thickness]\br{x}\br{y}\br{size}}\\
+\tab{}(x,\ y)を中心に
+円を描く
+
+\tab{\bs ballonr[thickness]\br{x}\br{y}\br{size}\br{Char}}\\
+\tab{}(x,\ y)から右上に吹き出しとCharを描く
+
+\tab{\bs ballonl[thickness]\br{x}\br{y}\br{size}\br{Char}}\\
+\tab{}(x,\ y)から左上に吹き出しとCharを描く
+
+
+\tab[14zw]{\bs lefthand[thickness]\br{x}\br{y}}(x,\ y)に指先を描く
+
+\tab[14zw]{\bs righthand[thickness]\br{x}\br{y}}(x,\ y)に指先を描く
+
+\tab[16zw]{\bs leftdownhand[thickness]\br{x}\br{y}}(x,\ y)に指先を描く
+
+\tab[16zw]{\bs rightdownhand[thickness]\br{x}\br{y}}(x,\ y)に指先を描く
+
+\begin{layer}{180}{0}
+
+\ballonr{30}{40}{1}{Example1}
+
+\ballonl{90}{40}{1}{Example2}
+
+\lefthand{120}{30}
+
+\righthand{140}{30}
+
+\leftdownhand{120}{25}
+
+\rightdownhand{140}{25}
+
+\end{layer}
+
+
+
+\end{document}
diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/refketpic161211J.pdf b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/refketpic161211J.pdf
new file mode 100644
index 00000000000..ba47aa36835
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/refketpic161211J.pdf
diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/refketpic161211J.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/refketpic161211J.tex
new file mode 100644
index 00000000000..c7755b1340b
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/refketpic161211J.tex
@@ -0,0 +1,90 @@
+\documentclass[a4j]{jarticle}
+%あいう
+
+\usepackage{ketpic,ketlayer}
+\usepack
+
+\input{/tools/reference/refstyle}
+
+\setmargin{20}{20}{15}{25}
+
+\begin{document}
+
+\begin{flushright}
+2016.12.11
+\end{flushright}
+
+
+\begin{center}
+{\bf \huge \ketpic\ --ketpic--}\vspace{3mm}\\
+\end{center}
+
+\section{スタイル名}
+\tab{ketpic.sty,\ ketpic2e.sty(pict2e必要)}
+
+\section{概要}
+
+\bs Width,\ \bs Height,\ \bs Depthを定義する．
+
+また，10個の一時カウンタ ketpicctra,\ $\cdots$,\ ketpicctrj を定義する．
+
+\section{マクロ一覧}
+
+\subsection{プリアンブル用}
+
+%\tab{\bs usepack}amsmath, amssymb,graphicx,colorを読み込む
+
+\tab{\bs setmargin\br{left}\br{right}\br{top}\br{bottom}}\\
+\tab{}マージン設定（単位はmm）\\
+\rei \bs setmargin\br{20}\br{20}\br{15}\br{25}
+
+\subsection{本文用}
+
+\tab{\bs ketpic}ロゴ \ketpic
+
+\tab{\bs Ltab\br{W}\br{S}}Wの幅を確保して左寄せでSを書く\\
+\rei \bs Ltab\br{5cm}\br{abc}xyz
+
+\tab{\bs Rtab\br{W}\br{S}}Wの幅を確保して右寄せでSを書く
+
+\tab{\bs Ctab\br{W}\br{S}}Wの幅を確保して中央寄せでSを書く
+
+%\tab{\bs vbackward\br{C}}文字Cの高さ分だけ上に戻る\\
+%\rei \bs vbackward\br{\bs includegraphics\br{ex.eps}}
+
+%\tab{\bs vforward\br{C}}文字Cの高さ分だけ下に進む
+
+\tab{\bs ketcalcwidth[0]\br{C}}文字Cの幅を単位長で計ってカウンタ１に返す\\
+\chuu オプションが１のときは，値を表示
+
+\tab{\bs ketcalcheight[0]\br{C}}文字Cの高さを単位長で計ってをカウンタ１に返す\\
+\chuu オプションが１のときは，値を表示
+
+\tab{\bs ketcalcdepth[0]\br{C}}文字Cの深さを単位長で計ってカウンタ１に返す\\
+\chuu オプションが１のときは，値を表示
+
+\tab{\bs ketcalcwh\br{C}}文字Cの横幅と縦幅をmm単位で返す\\
+\chuu \{横幅\}\{縦幅\}の形式で
+
+\subsection{シンボル}
+
+\begin{layer}[120]{120}{0}
+\putnotee{5}{5}{\dangerbendmark}
+\putnotee{10}{10}{\cautionmark}
+\putnotee{15}{15}{\circlemark{1}}
+\putnotee{20}{25}{\circleshade{1}{0.5}}
+\putnotee{5}{30}{\NEarrow,\ \NELarrow,\ \NERarrow}
+\end{layer}
+
+\tab[6cm]{\bs dangerbendmark[size]}ブルバキの「危険な曲がり角」
+
+\tab[6cm]{\bs cautionmark[size]}注意書きのマーク
+
+\tab[6cm]{\bs circlemark[thickness]\br{size}} 円\\
+\chuu サイズ１= 4mm（直径）
+
+\tab[6cm]{\bs circleshade[thickness]\br{size}\br{density}}中塗りの円
+
+\tab[6cm]{\bs NEarrow[倍率],\bs NELarrow[倍率]など} 増減矢印
+
+\end{document}
diff --git a/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/refketslide161211.tex b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/refketslide161211.tex
new file mode 100644
index 00000000000..31990d96dab
--- /dev/null
+++ b/Master/texmf-dist/doc/support/ketcindy/source/ketmanual/refketslide161211.tex
@@ -0,0 +1,72 @@
+\documentclass[a4j]{jarticle}
+
+\usepackage{/tools/ketpic,/tools/ketlayer}
+\usepack
+
+\input{/tools/reference/refstyle}
+
+\setmargin{20}{20}{15}{25}
+
+\begin{document}
+
+\begin{flushright}
+2016.12.11
+\end{flushright}
+
+
+\begin{center}
+{\bf \huge \ketpic スタイル\ --ketslide--}\vspace{3mm}\\
+\end{center}
+
+\section{スタイル名}
+\tab{ketslide.sty}
+
+\section{概要}
+
+プレゼン用スライドを作成する．\\
+\hspace*{2zw}\bs documentclass[landscape,10pt]\{jarticle または article\}\\
+\hspace*{2zw}スライドの大きさは　約130 $\times$ 85 (mm)
+
+
+\section{マクロ一覧}
+
+\subsection{プリアンブル用}
+
+\tab{\bs ketmarginJ}jarticleのときのマージン設定
+
+\tab{\bs ketmarginE}articleのときのマージン設定
+
+\tab{\bs ketslideinit}パラメータ指定マクロへのdefault値設定
+
+\noindent
+\hspace*{2zw}\tab{\bs ketcletter}タイトルの文字色（black\\
+\hspace*{2zw}\tab{\bs ketcbox}ボックス内の色（white\\
+\hspace*{2zw}\tab{\bs ketdbox}ボックス内の色の濃さ（1）\\
+\hspace*{2zw}\tab{\bs ketcframe}枠の色（black）\\
+\hspace*{2zw}\tab{\bs ketcshadow}陰の色（black）\\
+\hspace*{2zw}\tab{\bs ketdshadow}陰の色の濃さ（0.5）\\
+\hspace*{2zw}\tab{\bs slidetitlex}タイトルの横位置（6）\\
+%\hspace*{2zw}\tab{\bs slidetitley}タイトルの縦位置（7）\\
+\hspace*{2zw}\tab{\bs slidetitlesize}タイトルの文字サイズ（2）\\
+\hspace*{2zw}\tab{\bs mketcletter}メインタイトルの文字色（black）\\
+\hspace*{2zw}\tab{\bs mketcbox}メインタイトルのボックス内の色（white）\\
+\hspace*{2zw}\tab{\bs mketdbox}メインタイトルのボックス内の色の濃さ（1）\\
+\hspace*{2zw}\tab{\bs mketcframe}メインタイトルの枠の色（white）\\
+\hspace*{2zw}\tab{\bs mslidetitlex}メインタイトルの横位置（62）\\
+%\hspace*{2zw}\tab{\bs mslidetitley}メインタイトルの立て位置（35）\\
+\hspace*{2zw}\tab{\bs mslidetitlesize}メインタイトルの文字サイズ（3）\\
+\hspace{6zw}注） これらのパラメータは本文中で \bs def を使って変更できる．
+
+
+\subsection{本文用}
+
+\tab[15zw]{\bs newslide[縦位置]\{タイトル\}}新しいスライドを始める．（縦位置のdefault=6）
+
+\tab[15zw]{\bs sameslide}[縦位置]同じページとして，追加する．
+
+\tab[15zw]{\bs mainslide[縦位置]\{タイトル\}}新しいメインスライドを始める．（縦位置のdefault=35）
+
+\tab[15zw]{\bs mainsameslide[縦位置]}同じページとして，追加する．
+
+
+\end{document}
\ No newline at end of file