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delete mode 100755 texmf-dist/scripts/ketcindy/setketcindy.txt delete mode 100644 texmf-dist/scripts/ketcindy/template1basic.cdy delete mode 100755 texmf-dist/scripts/ketcindy/template2advanced.cdy delete mode 100755 texmf-dist/tex/latex/ketcindy/ketlayer.sty delete mode 100644 texmf-dist/tex/latex/ketcindy/ketlayer2e.sty delete mode 100644 texmf-dist/tex/latex/ketcindy/ketmedia.sty delete mode 100644 texmf-dist/tex/latex/ketcindy/ketpic.sty delete mode 100644 texmf-dist/tex/latex/ketcindy/ketpic2e.sty delete mode 100644 texmf-dist/tex/latex/ketcindy/ketslide.sty delete mode 100644 texmf-dist/tex/latex/ketcindy/ketslide2.sty delete mode 100644 tlpkg/tlpsrc/ketcindy.tlpsrc diff --git a/texmf-dist/doc/support/ketcindy/CindyJS/Cindy.js b/texmf-dist/doc/support/ketcindy/CindyJS/Cindy.js deleted file mode 100644 index 04aa2fd9..00000000 --- a/texmf-dist/doc/support/ketcindy/CindyJS/Cindy.js +++ /dev/null @@ -1,781 +0,0 @@ -/* CindyJS - (C) 2014-2016 The CindyJS Project - * Mostly licensed 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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):this[this.t-1]|=v<=this.DB&&(k-=this.DB))}8==e&&0!=(b[0]&128)&&(this.s=-1,0>q|v,v=(this[C]&f)<=this.t)d.t= -0;else{var q=b%this.DB,f=this.DB-q,k=(1<>q;for(var v=e+1;v>q;0>=this.DB;if(b.t>=this.DB;f+=this.s}else{for(f+=this.s;e>=this.DB;f-=b.s}d.s=0>f?-1:0;-1>f?d[e++]=this.DV+ -f:0=d.DV&&(b[e+d.t]-=d.DV,b[e+d.t+1]=1)}0=f.t)){var n=this.abs();if(n.t>this.F2:0),bb=this.FV/F,F=(1<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 0b)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<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<>v)&&(f=!0,n="0123456789abcdefghijklmnopqrstuvwxyz".charAt(e));0<=k;)v>(v+=this.DB-b)):(e=this[k]>>(v-=b)&d,0>=v&&(v+=this.DB,--k)),0this.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&&0b||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||36F?"-"==b.charAt(C)&&0==this.signum()&&(n=!0):(v=d*v+F,++k>=e&&(this.dMultiply(f),this.dAddOffset(v,0),v=k=0))}0b)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>=this.DB;if(b.t>=this.DB;f+=this.s}else{for(f+=this.s;e>=this.DB;f+=b.s}d.s=0>f?-1:0;0f&&(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=b)return 0;var d=this.DV%b,e=0>this.s?b-1:0;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;kthis.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)<>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>e)!=(this.s&this.DM)>>e&&(d[n++]=f|this.s<e?(f=(this[b]&(1<>(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,0this.compareTo(b)?this:b};p.prototype.max=function(b){return 0b?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>=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?0!=this.s:0!=(this[d]&1<=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<=p?K=b[H]>>e-p&bb:(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--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;eb.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;nb||2147483647b?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||2147483647b?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 0e?-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&&bd.X==b.Xd.Y==b.Yd.X==b.Xd.Y==b.Yf.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.Xq.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(;0q||!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.Xb.X==d.X -b.Y==d.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.Ythis.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;bb.Top.Y?d.Top.Xf.Clipper.TopX(d,b.Top.Y):d.Curr.Xb.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 0b.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?1d.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.OutIdxd.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=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.Xf.Pt.Y?b:e.Pt.Yf.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.ctDifference:(b.PolyTyp== -f.PolyType.ptClip&&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=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;db?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 2147483647d.Top.Y)return e.Y=b.Top.Y,e.X=f.Clipper.TopX(d,b.Top.Y),e.Xb.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;dn)){for(var k=Array(n),v=0;vn||!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;vd.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;dq.right&&(q.right=b[d][k].X),b[d][k].Yq.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.Xe.right&&(e.right=b.Pt.X),b.Pt.Ye.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)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;0k.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;0k.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)if(p>k)e=1-e;else{v=(v-k)*(F-N)-(p-k)*(C-N);if(0==v)return-1;0C&&(e=1-e)}else if(p>k){v=(v-k)*(F-N)-(p-k)*(C-N);if(0== -v)return-1;0C&&(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 0d)return 0;for(var e=0,f=0,k=d-1;fMath.abs(b.Y-d.Y)?b.X>d.X==b.Xb.X==d.Xd.Y== -b.Yb.Y==d.Ye&&(e=0);for(var p=Array(e),n=0;nk)){var n= -new f.PolyNode;n.m_jointype=d;n.m_endtype=e;if(e==f.EndType.etClosedLine||e==f.EndType.etClosedPolygon)for(;0n.m_polygon[d].Y||b[v].Y==n.m_polygon[d].Y&&b[v].Xp)&&(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=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=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;pMath.abs(this.m_sinA*this.m_delta)){if(0this.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;vd)return b;e||(b=[b]);for(var k=b.length,n,p,v,F,E,H,K,I=[],ea=0;ean)v=p,I.push(v);else{v=p;F=d*d;E=p[0];for(K=H=1;Kd)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;ep;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;kH)return 0;for(d&&(b[H]=b[0], 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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), 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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));1d.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, 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c=a.value[0],d=a.value[1],e=l.neg(a.value[2]),e=g.scalmult(e,g.turnIntoCSList([c,d,e])).value, -c=g.turnIntoCSList([c,d]),c=l.sub(g.scalproduct(c,c),b),e=m._helper.buildConicMatrix([e[2],l.zero,e[2],e[0],e[1],c]);return g.normalizeMax(e)};m.Compass={};m.Compass.kind="C";m.Compass.signature=["P","P","P"];m.Compass.updatePosition=function(a){var b=u.csnames[a.args[0]].homog,c=u.csnames[a.args[1]].homog,d=u.csnames[a.args[2]].homog,e=b.value[2],f=c.value[2],k=d.value[2],b=g.scalmult(l.mult(f,k),b),c=g.scalmult(l.mult(e,k),c),d=g.scalmult(l.mult(e,f),d),b=g.sub(c,b),d=m._helper.ScaledCircleMrr(d, -g.scalproduct(b,b));a.matrix=w.withUsage(d,"Circle")};m._helper.getConicType=function(a){if(1E-16>l.abs(g.det(a)).value.real)return"degenerate";var b=l.mult(a.value[0].value[0],a.value[1].value[1]),b=l.sub(b,l.pow(a.value[0].value[1],l.real(2))),b=b.value.real;return 1E-16>Math.abs(b)?"parabola":1E-16c;++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;eq;++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 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a.radius&&(a.radius=1);a.internalmove=!1;a.fx=0;a.fy=0;a.fz=0;a.vx=a.vx||0;a.vy=a.vy||0;a.vz=a.vz||0;a.mtype=0;a.env=O.env;a.deltat=0;a.mx=0;a.my=0;a.mz=0;a.mvx=0;a.mvy=0;a.mvz=0;a.dx=[0,0,0,0,0,0,0,0,0,0];a.dy=[0,0,0,0,0,0,0,0,0,0];a.dz=[0,0,0,0,0,0,0,0,0,0];a.dvx=[0,0,0,0,0,0,0,0,0,0];a.dvy=[0,0,0,0,0,0,0,0,0,0];a.dvz=[0, -0,0,0,0,0,0,0,0,0];a.midx=0;a.midy=0;a.midz=0;a.lx=0;a.ly=0;a.lz=0},resetForces:function(a){a.fx=0;a.fy=0;a.fz=0},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;a.xo=a.x;a.yo=a.y;a.zo=a.z;a.vxo=a.vx;a.vyo=a.vy;a.vzo=a.vz;a.deltat=b;a.fx=0;a.fy=0;a.fz=0},setVelocity:function(a,b,c,d){d||(d=0);a.vx=b;a.vy=c;a.vz=d},move:function(a){a.pos=[a.x,a.y,1];a.internalmove=!0;fa&&X.down&&a.el===fa.mover||Ia(a.el,g.realVector(a.pos),"homog"); -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;bO.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;bm?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 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/texmf-dist/doc/support/ketcindy/CindyJS/ketcindylib.txt b/texmf-dist/doc/support/ketcindy/CindyJS/ketcindylib.txt deleted file mode 100644 index 72469da8..00000000 --- a/texmf-dist/doc/support/ketcindy/CindyJS/ketcindylib.txt +++ /dev/null @@ -1,6419 +0,0 @@ -// 17.08.26 Slider -// 16.11.27 -Ketinit():=Ketinit(1); -Ketinit(sy):=Ketinit(sy,[-5,5],[-5,5]); -Ketinit(sy,rangex,rangey):=( - regional(pt,tmp,tmp1,tmp2); - PenThickInit=8; - ULEN="1cm"; - KETPICLAYER=20; - MilliIn=1/2.54*1000; - PenThick=round(MilliIn*0.02); - PenThickInit=PenThick; - TenSizeInit=0.02; - TenSize=TenSizeInit; - YaSize=1; YaAngle=18; YaPosition=1; - YaThick=1; YaStyle='tf'; - KETPICCOUNT=1; - KCOLOR=[0,0,0]; - GLIST=[]; - GCLIST=[]; -// GDATALIST=[]; - GOUTLIST=[]; - POUTLIST=[]; - VLIST=[]; - FUNLIST=[]; - LETTERlist=[]; - COM0thlist=[]; - COM1stlist=[]; - COM2ndlist=[]; - SCIWRLIST=[]; - SCIRELIST=[]; - ADDAXES="1"; - LFmark=unicode("000a"); - Dq=unicode("0022"); - WaitUnit=10; - CONTINUED=0; - OutComList=[]; - OutFileLIst=[]; // 15.10.22 - FigPdfList=[]; // 16.04.08 - ADDPACK=[]; // 16.05.16 - ErrFlag=0; - setdirectory(Dirwork); - if(isstring(Fhead), // 15.04.06 - Fnametex=Fhead+".tex"; - Fnamesci=Fhead+".sce"; - Fnamescibody=Fhead+"body.sce"; - Fnameout=Fhead+".txt"; - ); - if(!isstring(Mackc),// 16.06.07 - Mackc="sh"; - ); - ArrowlineNumber=1; // 15.01.05 - ArrowheadNumber=1; - BezierNumber=1; //15.01.03 - SCALEX=1; - SCALEY=sy; -// Setscaling(sy); - XMIN=rangex_1/SCALEX; - XMAX=rangex_2/SCALEX; - YMIN=rangey_1/SCALEY; - YMAX=rangey_2/SCALEY; - Setwindow("Msg=n"); // 16.05.31 -); - -DqDq(str):=unicode("0022")+str+unicode("0022"); - -Tab2list(dtstr):=Tab2list(dtstr,[]); -Tab2list(dtstr,options):=( -//help:Tab2list(datastr); -//help:Tab2list(options=[0]); - regional(dtall,dt,rep,out,crm,lfm,htm,first,tmp,tmp1,tmp2); - crm=unicode("000d"); - lfm=unicode("000a"); - htm=unicode("0009"); - rep=0; - if(length(options)>0,rep=options_1); - first=lfm; // 16.09.05from - if(indexof(dtstr,crm)>0, - first=crm; - if(indexof(dtstr,crm+lfm)>0, - first=first+lfm; - ); // 16.09.05upto - ); - tmp1=Indexall(dtstr,first); - tmp1=prepend(0,tmp1); - tmp1=append(tmp1,length(dtstr)); - dtall=[]; - forall(1..(length(tmp1)-1), - tmp=substring(dtstr,tmp1_#,tmp1_(#+1)-1); - if(length(tmp)>0, - dtall=append(dtall,tmp); - ); - ); - out=[]; - forall(dtall,dt, - tmp1=tokenize(dt,unicode("0009")); - tmp2=[]; - forall(tmp1, - if(isstring(#),tmp=parse(#),tmp=#); - if(!isreal(tmp), - if(length(#)>0,tmp=#,tmp=rep); - ); - tmp2=append(tmp2,tmp); - ); - out=append(out,tmp2); - ); - out; -); - -Columnlist(dt,list):=( // 16.09.04 -//help:Columnlist(dt,1..3); - apply(dt,#_list); -); - -Dispmat(dt):=( // 16.09.16 -//help:Dispmat(dt); - regional(htm,crm,lfm,row,tmp,tmp1,tmp2); - htm=unicode("0009"); - crm=unicode("000d"); - lfm=unicode("000a"); - tmp2=""; - forall(dt,row, - tmp1=""; - forall(row, - if(isstring(#), - tmp1=tmp1+#+htm; - , - tmp1=tmp1+text(#)+htm; - ); - ); - tmp1=substring(tmp1,0,length(tmp1)-1); - tmp1=tmp1+lfm; - tmp2=tmp2+tmp1; - ); - print(tmp2); - println(); -); - -norm(v1):=( // 16.09.01 -//help:norm([2,1,3]); - regional(out,tmp,tmp1,tmp2); - out=0; - forall(1..length(v1), - out=out+(v1_#)^2; - ); - out=sqrt(out); - out; -); -norm(v1,v2):=( - norm(v2-v1); -); - -// 16.03.28 -Removespace(str):=( -//help:Removespace(" a b c "); - regional(tmp,flg,out); - tmp=length(str)+1; - flg=0; - forall(1..length(str), - if(flg==0, - if((str_#)!=" ", - tmp=#; - flg=1; - ); - ); - ); - out=substring(str,tmp-1,length(str)); - flg=0; - tmp=0; - forall(reverse(1..length(out)), - if(flg==0, - if((out_#)!=" ", - tmp=#; - flg=1; - ); - ); - ); - out=substring(out,0,tmp); -); - -Indexall(str,key):=( - regional(rest,out,flg,tmp,tmp1,); - out=[]; - rest=str; - flg=0; - forall(1..length(str), - if(flg==0, - tmp=indexof(rest,key); - if(tmp>0, - tmp1=tmp+length(str)-length(rest); - out=append(out,tmp1); - rest=substring(rest,tmp,length(rest)); - , - flg=1; - ); - ); - ); - out; -); - -Changestyle(nameL,style):=( -//help:Changestyle(["sgAB"],["da"]); - regional(nmL,name,Ltype,Ltypeorg,Noflg,opcindy,tmp); - tmp=Divoptions(style); - Ltypeorg=tmp_1; - Noflg=tmp_2; - opcindy=tmp_(length(tmp)); - if(islist(nameL),nmL=nameL,nmL=[nameL]); - forall(nmL,name, - Ltype=Ltypeorg; - GCLIST=select(GCLIST,#_1!=name); - COM2ndlist=select(COM2ndlist,indexof(#,"("+name)==0); // 15.05.23 - if(Noflg<2, - if(isstring(Ltype), - Ltype=GetLinestyle(text(Noflg)+Ltype,name); - , - if(Noflg==1,Ltype=0); - ); - GCLIST=append(GCLIST,[name,Ltype,opcindy]); - ); - ); -); - -Op(n,object):=( // 16.05.25 -//help:Op(4,[1,2,3,4]); -//help:Op(3,"abcd"); - regional(out); - if(islist(object), - out=object_n; - , - if(isstring(object), - out=substring(object,n-1,n); - ); - ); - out; -); - -Toupper(str):=( - regional(alphabet,out,tmp,tmp1); - alphabet="abcdefghijklmnopqrstuvwxyz"; - out=""; - forall(1..length(str), - tmp=substring(str,#-1,#); - tmp1=indexof(alphabet,tmp); - if(tmp1>0, - out=out+unicode(text(tmp1+64),base->10); - , - out=out+tmp; - ); - ); - out; -); - -Textformat(value,dig):=( -//help:Textformat(2/3,4); -//help:Textformat([gr1,gr2],5); - regional(vv,tmp,tmp1); - if(islist(value), - tmp1="["; - forall(value, - tmp1=tmp1+Textformat(#,dig)+","; - ); - tmp1=substring(tmp1,0,length(tmp1)-1)+"]"; - , - if(ispoint(value) % isstring(value), -// vv=Lcrd(value); -// tmp1=Textformat(vv,dig); -// tmp1=text(value); // 15.04.07 - if(isstring(value),tmp1=Dq+value+Dq,tmp1=text(value)); // 15.10.02 - , - tmp1=format(value,dig); - ); - ); - tmp1; -); - -Sprintf(value,dig):=( -//help:Sprintf(5.1,4); - regional(vv,tmp,tmp1); - if(!islist(value), - vv=Textformat(value,dig); - if(indexof(vv,".")==0,vv=vv+"."); - vv=vv+"0000000000000000"; - tmp=indexof(vv,".")+dig; - vv=substring(vv,0,tmp); - , - vv=apply(value,Sprintf(#,dig)); - ); - vv; -); - -Assign(funstr,vrL):=( - regional(nn,out,tmp,tmp1); - nn=length(vrL)/2; - out=funstr; - forall(1..nn, - out=Assign(out,vrL_(2*#-1),vrL_(2*#)); - ); - out; -); - -Assign(funstr,varname,rep):=( -//help:Assign("x^2+a*x","a",1.3); -//help:Assign("a*x^2+b*x",["a",1,"b",2]); - regional(repstr,ii,jj,tmp,tmp1,tmp2,Notvar,Flg); - if(isstring(rep),repstr=rep,repstr="("+Textformat(rep,5)+")"); // 15.02.09, 07.06 - tmp=[46]; // 12.20 - tmp=concat(tmp,48..57); - tmp=concat(tmp,65..90); - tmp=concat(tmp,97..122); - Notvar=apply(tmp,unicode(text(#),base->10)); - tmp2=""; - forall(1..100, - ii=indexof(funstr,varname); - if(ii>0, - Flg=0; - if(ii>1, - tmp=substring(funstr,ii-2,ii-1); - if(contains(Notvar,tmp), - tmp2=tmp2+substring(funstr,0,ii); - funstr=substring(funstr,ii,length(funstr)); - Flg=1; - ); - ); - if(Flg==0, - jj=ii-1+length(varname); - if(jj0, - 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, - Out=["inf","inf"]; - Flg=1; - ); - if(max([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-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 & (p1eM1 % p2eM2), - if(q1eM1 % q2eM2, - 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 & (p1eM1 % p2eM2), - if(q1eM1 % q2eM2, - 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 & (q1eM1% q2eM2), - rT=min([max([p1,0]),1]); - Tmp1=pA+rT*pV; - Out=[Tmp1,rT,1]; - Flg=1; - ); - if(Flg==0, - if(abs(p2)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(Tmp20, - 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, - 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(sSrange_1 & #_1range_1 & #_10) & (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) % (va13,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(#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|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)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)tmp, - tmp1=concat(tmp1,[PdL_(tmp..(#-1))]) - ); - tmp=#+1; - ); - if(tmp0 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|tmp, - tmp1=concat(tmp1,[Out_(tmp..(#-1))]) - ); - tmp=#+1; - ); - if(tmp0 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)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 & #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)|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_20, - 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(tmp21, 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(tmpNumptcrv(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 & tmp21, - 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))|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, - 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(X0tmp2, - 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(Y0tmp2, - 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)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(#=n1 & m2<=n2, - gc=#; - flg=1; - ); - ); - ); - if(flg==1, - Changestyle([gc_1],["nodisp"]); - tail=""; - if(indexof(hd,"r")>0, - tail=hd; hd=""; - ); - if(n10, - 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))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); - ); - 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 & #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/texmf-dist/doc/support/ketcindy/LICENSE b/texmf-dist/doc/support/ketcindy/LICENSE deleted file mode 100644 index 6bdf8962..00000000 --- a/texmf-dist/doc/support/ketcindy/LICENSE +++ /dev/null @@ -1,14 +0,0 @@ -// 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 diff --git a/texmf-dist/doc/support/ketcindy/README.TeXLive b/texmf-dist/doc/support/ketcindy/README.TeXLive deleted file mode 100644 index 5a4f0daf..00000000 --- a/texmf-dist/doc/support/ketcindy/README.TeXLive +++ /dev/null @@ -1,9 +0,0 @@ -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. -In particular the setketcindy(r).txt and the ScriptInitialization.txt -and its depending template.cdy have been patched to work with -unwritable texmf-dist trees. - -2017-10-19 Norbert Preining diff --git a/texmf-dist/doc/support/ketcindy/ScriptKeytyped.txt b/texmf-dist/doc/support/ketcindy/ScriptKeytyped.txt deleted file mode 100644 index cbb97c47..00000000 --- a/texmf-dist/doc/support/ketcindy/ScriptKeytyped.txt +++ /dev/null @@ -1,134 +0,0 @@ -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/texmf-dist/doc/support/ketcindy/Scriptfigure.txt b/texmf-dist/doc/support/ketcindy/Scriptfigure.txt deleted file mode 100644 index 9a330d46..00000000 --- a/texmf-dist/doc/support/ketcindy/Scriptfigure.txt +++ /dev/null @@ -1,16 +0,0 @@ -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/texmf-dist/doc/support/ketcindy/Scriptkelib.txt b/texmf-dist/doc/support/ketcindy/Scriptkelib.txt deleted file mode 100644 index bd9197ba..00000000 --- a/texmf-dist/doc/support/ketcindy/Scriptkelib.txt +++ /dev/null @@ -1,4 +0,0 @@ -use("KetCindyPlugin"); -Dircdy=loaddirectory; -setdirectory(plugindirectory); -import("dirhead.txt"); diff --git a/texmf-dist/doc/support/ketcindy/Scriptketlibsci.txt b/texmf-dist/doc/support/ketcindy/Scriptketlibsci.txt deleted file mode 100644 index a703b64c..00000000 --- a/texmf-dist/doc/support/ketcindy/Scriptketlibsci.txt +++ /dev/null @@ -1,8 +0,0 @@ -use("KetCindyPlugin"); -Dircdy=loaddirectory; -setdirectory(plugindirectory); -import("dirheadsci.txt"); -//PathS=replace(PathS,"6.0.0","5.5.2"); - -//Ketinit(); -//Ketinit3d(); diff --git a/texmf-dist/doc/support/ketcindy/ketmanual/CindyJS/Cindy.js b/texmf-dist/doc/support/ketcindy/ketmanual/CindyJS/Cindy.js deleted file mode 100644 index 04aa2fd9..00000000 --- a/texmf-dist/doc/support/ketcindy/ketmanual/CindyJS/Cindy.js +++ /dev/null @@ -1,781 +0,0 @@ -/* 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=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<=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>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;0b?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):this[this.t-1]|=v<=this.DB&&(k-=this.DB))}8==e&&0!=(b[0]&128)&&(this.s=-1,0>q|v,v=(this[C]&f)<=this.t)d.t= -0;else{var q=b%this.DB,f=this.DB-q,k=(1<>q;for(var v=e+1;v>q;0>=this.DB;if(b.t>=this.DB;f+=this.s}else{for(f+=this.s;e>=this.DB;f-=b.s}d.s=0>f?-1:0;-1>f?d[e++]=this.DV+ -f:0=d.DV&&(b[e+d.t]-=d.DV,b[e+d.t+1]=1)}0=f.t)){var n=this.abs();if(n.t>this.F2:0),bb=this.FV/F,F=(1<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 0b)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<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<>v)&&(f=!0,n="0123456789abcdefghijklmnopqrstuvwxyz".charAt(e));0<=k;)v>(v+=this.DB-b)):(e=this[k]>>(v-=b)&d,0>=v&&(v+=this.DB,--k)),0this.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&&0b||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||36F?"-"==b.charAt(C)&&0==this.signum()&&(n=!0):(v=d*v+F,++k>=e&&(this.dMultiply(f),this.dAddOffset(v,0),v=k=0))}0b)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>=this.DB;if(b.t>=this.DB;f+=this.s}else{for(f+=this.s;e>=this.DB;f+=b.s}d.s=0>f?-1:0;0f&&(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=b)return 0;var d=this.DV%b,e=0>this.s?b-1:0;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;kthis.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)<>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>e)!=(this.s&this.DM)>>e&&(d[n++]=f|this.s<e?(f=(this[b]&(1<>(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,0this.compareTo(b)?this:b};p.prototype.max=function(b){return 0b?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>=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?0!=this.s:0!=(this[d]&1<=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<=p?K=b[H]>>e-p&bb:(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--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;eb.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;nb||2147483647b?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||2147483647b?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 0e?-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&&bd.X==b.Xd.Y==b.Yd.X==b.Xd.Y==b.Yf.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.Xq.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(;0q||!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.Xb.X==d.X -b.Y==d.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.Ythis.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;bb.Top.Y?d.Top.Xf.Clipper.TopX(d,b.Top.Y):d.Curr.Xb.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 0b.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?1d.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.OutIdxd.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=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.Xf.Pt.Y?b:e.Pt.Yf.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.ctDifference:(b.PolyTyp== -f.PolyType.ptClip&&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=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;db?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 2147483647d.Top.Y)return e.Y=b.Top.Y,e.X=f.Clipper.TopX(d,b.Top.Y),e.Xb.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;dn)){for(var k=Array(n),v=0;vn||!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;vd.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 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h=a.value.length,c=l.real(1),b,d,e=JSON.parse(JSON.stringify(a)),f,k,m,n;for(a=0;al.abs(e.value[d].value[a]).value.real&&(d=b);d!==a&&(b=e.value[d],e.value[d]=e.value[a],e.value[a]=b,c=l.neg(c));f=e.value[a];for(b=a+1;b"]=function(a,h){var c=B(a[0]),b=B(a[1]);return"number"===c.ctype&&"number"===b.ctype&&l._helper.isAlmostReal(c)&&l._helper.isAlmostReal(b)?{ctype:"boolean",value:c.value.real-b.value.real>=l.eps}:k};R["=:="]=C("=:=");R[">="]=function(a,h){var c=B(a[0]),b=B(a[1]);return"number"===c.ctype&&"number"===b.ctype&&l._helper.isAlmostReal(c)&&l._helper.isAlmostReal(b)?{ctype:"boolean",value:c.value.real>=b.value.real}:"string"===c.ctype&&"string"=== -b.ctype?{ctype:"boolean",value:c.value>=b.value}:k};R["<="]=function(a,h){var c=B(a[0]),b=B(a[1]);return"number"===c.ctype&&"number"===b.ctype&&l._helper.isAlmostReal(c)&&l._helper.isAlmostReal(b)?{ctype:"boolean",value:c.value.real<=b.value.real}:"string"===c.ctype&&"string"===b.ctype?{ctype:"boolean",value:c.value<=b.value}:k};R["~>="]=function(a,h){var c=B(a[0]),b=B(a[1]);return"number"===c.ctype&&"number"===b.ctype&&l._helper.isAlmostReal(c)&&l._helper.isAlmostReal(b)?{ctype:"boolean",value:c.value.real- -b.value.real>-l.eps}:k};R["~<="]=function(a,h){var c=B(a[0]),b=B(a[1]);return"number"===c.ctype&&"number"===b.ctype&&l._helper.isAlmostReal(c)&&l._helper.isAlmostReal(b)?{ctype:"boolean",value:c.value.real-b.value.real"]=function(a,h){var c=B(a[0]),b=B(a[1]);return"number"===c.ctype&&"number"===b.ctype&&l._helper.isAlmostReal(c)&&l._helper.isAlmostReal(b)?{ctype:"boolean",value:c.value.real>b.value.real}:"string"===c.ctype&&"string"===b.ctype?{ctype:"boolean",value:c.value>b.value}: -k};R["<"]=function(a,h){var c=B(a[0]),b=B(a[1]);return"number"===c.ctype&&"number"===b.ctype&&l._helper.isAlmostReal(c)&&l._helper.isAlmostReal(b)?{ctype:"boolean",value:c.value.real"]=Gc;R["\u2208"]=function(a,h){var c=A(a[0]),b=A(a[1]);return"list"===b.ctype?g.contains(b,c):k};R["\u2209"]=function(a,h){var c=A(a[0]),b=A(a[1]);return"list"===b.ctype?w.not(g.contains(b,c)):k};R["&"]=Hc;R["%"]=Ic; -R["!="]=Gc;R["~!="]=function(a,h){return w.not(Yb(a,h))};R[".."]=function(a,h){var c=A(a[0]),b=A(a[1]);return"number"===c.ctype&&"number"===b.ctype?g.sequence(c,b):k};R["++"]=Tc;R["--"]=Vc;R["~~"]=Uc;R[":>"]=Wc;R["<:"]=Xc;R["="]=bb;R[":="]=function(a,h,c){h="undefined"===a[1].ctype;if("undefined"===a[0].ctype||h)return k;if("function"===a[0].ctype){h=a[0].oper;var b=a[0].args,d=a[1],g=1;if(Za.hasOwnProperty(h)){g=Za[h];if(g.definer===c)return k;g=g.generation+1}Za[h]={oper:h,body:d,arglist:b,definer:c, -generation:g}}"variable"===a[0].ctype&&J.setvar(a[0].name,a[1]);return k};R[":=_"]=function(a,h){if("void"!==a[1].ctype)return k;"function"===a[0].ctype&&delete Za[a[0].oper];return k};R["::="]=C("::=");R[";"]=function(a,h){var c="void"===a[0].ctype,b="void"===a[1].ctype;if(c&&b)return k;if(!c&&b)return A(a[0]);c||b||A(a[0]);return b?k:A(a[1])};var t={},D={evaluate:function(a,h,c){if(Za.hasOwnProperty(a)){a=Za[a];if(void 0===a)h=k;else{var b=[];for(c=0;c "+ba(h[a]))};J.vstack=[];J.pushVstack=function(a){this.vstack.push(a)};J.popVstack=function(){this.vstack.pop()};J.cleanVstack=function(){for(var a=this.vstack;0 "+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(" ===> "+ -ba(c)));return k};t.print$1=function(a,h){ia.out(ba(A(a[0])),!0);return k};t.println$1=function(a,h){ia.out(ba(A(a[0])));return k};t.assert$2=function(a,h){var c=A(a[0]);if("boolean"===c.ctype){if(!1===c.value)return t.println$1([a[1]],h)}else ia.err("Condition for 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k};t.randomint$1=t.randominteger$1;t.randombool$0=function(a,h){return.5f)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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c=A(a[0]);return"number"===c.ctype?(c=Math.min(1,Math.max(0,c.value.real)),g.realVector([c,c,c])):k};t.grey$1=t.gray$1;D.HSVtoRGB= -function(a,h,c){var b,d,e,f,k,l;a&&void 0===h&&void 0===c&&(h=a.s,c=a.v,a=a.h);f=Math.floor(6*a);k=6*a-f;a=c*(1-h);l=c*(1-k*h);h=c*(1-(1-k)*h);switch(f%6){case 0:b=c;d=h;e=a;break;case 1:b=l;d=c;e=a;break;case 2:b=a;d=c;e=h;break;case 3:b=a;d=l;e=c;break;case 4:b=h;d=a;e=c;break;case 5:b=c,d=a,e=l}return g.realVector([b,d,e])};t.hue$1=function(a,h){var c=A(a[0]);return"number"===c.ctype?(c=c.value.real,c-=Math.floor(c),D.HSVtoRGB(c,1,1)):k};D.shapeconvert=function(a){var h,c;if("circle"===a.type){h= -a.value.value[0];h=w.div(h,h.value[2]);var b=h.value[0].value.real,d=h.value[1].value.real;a=a.value.value[1].value.real;c=Array(125);var 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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));1d.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, 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c=a.value[0],d=a.value[1],e=l.neg(a.value[2]),e=g.scalmult(e,g.turnIntoCSList([c,d,e])).value, -c=g.turnIntoCSList([c,d]),c=l.sub(g.scalproduct(c,c),b),e=m._helper.buildConicMatrix([e[2],l.zero,e[2],e[0],e[1],c]);return g.normalizeMax(e)};m.Compass={};m.Compass.kind="C";m.Compass.signature=["P","P","P"];m.Compass.updatePosition=function(a){var b=u.csnames[a.args[0]].homog,c=u.csnames[a.args[1]].homog,d=u.csnames[a.args[2]].homog,e=b.value[2],f=c.value[2],k=d.value[2],b=g.scalmult(l.mult(f,k),b),c=g.scalmult(l.mult(e,k),c),d=g.scalmult(l.mult(e,f),d),b=g.sub(c,b),d=m._helper.ScaledCircleMrr(d, -g.scalproduct(b,b));a.matrix=w.withUsage(d,"Circle")};m._helper.getConicType=function(a){if(1E-16>l.abs(g.det(a)).value.real)return"degenerate";var b=l.mult(a.value[0].value[0],a.value[1].value[1]),b=l.sub(b,l.pow(a.value[0].value[1],l.real(2))),b=b.value.real;return 1E-16>Math.abs(b)?"parabola":1E-16c;++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), 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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=en?(p=a,c=b):(q=l.solveCubic(p,q,c,f),c=l.abs2(l.sub(q[0],q[1])).value.real,f=l.abs2(l.sub(q[0],q[2])).value.real,k=l.abs2(l.sub(q[1],q[2])).value.real,c>f?(p= -q[1],q=c>k?q[0]:q[2]):(p=q[2],q=f>k?q[0]:q[1]),p=g.add(g.scalmult(p,a),b),c=g.add(g.scalmult(q,a),b));q=m._helper.splitDegenConic(p);p=q[0];q=q[1];c=m._helper.splitDegenConic(c);k=c[0];f=c[1];c=g.cross(p,k);k=g.cross(q,k);p=g.cross(p,f);q=g.cross(q,f);c=g.normalizeMax(c);k=g.normalizeMax(k);p=g.normalizeMax(p);q=g.normalizeMax(q);c=w.withUsage(c,"Point");k=w.withUsage(k,"Point");p=w.withUsage(p,"Point");q=w.withUsage(q,"Point");return[c,k,p,q]};m.IntersectConicConic={};m.IntersectConicConic.kind= -"Ps";m.IntersectConicConic.signature=["C","C"];m.IntersectConicConic.updatePosition=function(a){var b=m._helper.IntersectConicConic(u.csnames[a.args[0]].matrix,u.csnames[a.args[1]].matrix),b=xc(b[0],b[1],b[2],b[3]);a.results=b};m.IntersectConicConic.stateSize=xc.stateSize;m.SelectP={};m.SelectP.kind="P";m.SelectP.signature=["Ps"];m.SelectP.initialize=function(a){if(void 0!==a.index)return a.index-1;var b=u.csnames[a.args[0]].results.value;a=m._helper.initializePoint(a);for(var c=g.projectiveDistMinScal(a, -b[0]),d=0,e=1;ea&&c>.999*a;)b=ra.oneRKStep(b),c+=b,b=Math.min(2*b,a-c),b=Math.max(b,1E-16),ra.restorePosition(),ra.doCollisions(),ra.calculateForces(),ra.moveToFinalPos();return!0};ra.restorePosition=function(){Ba.forEach(function(a){O[a.type].restorePos(a,9)})};ra.doCollisions=function(){Ba.forEach(function(a){O[a.type].doCollisions(a)})};ra.calculateForces=function(){Ba.forEach(function(a){O[a.type].calculateForces(a)})};ra.moveToFinalPos=function(){Ba.forEach(function(a){O[a.type].move(a)})};ra.oneRKStep= -function(a){for(var b=function(a){Ba.forEach(function(b){O[b.type].initRK(b,a);O[b.type].storePosition(b)})},c=function(a){Ba.forEach(function(b){O[b.type].setToTimestep(b,Ib[a])})},d=function(a){Ba.forEach(function(b){O[b.type].proceedMotion(b,Ib[a],a,Jd[a])})},e=function(){Ba.forEach(function(a){O[a.type].resetForces(a)})},f=function(a){Ba.forEach(function(b){O[b.type].calculateDelta(b,a)})},g=function(b){var c=0;Ba.forEach(function(a){O[a.type].proceedMotion(a,Ib[6],7,Kd);O[a.type].savePos(a,8); -O[a.type].proceedMotion(a,Ib[6],7,Ld);O[a.type].savePos(a,9);c+=O[a.type].sqDist(a,8,9)});return c=Math.sqrt(c)/a},k=function(a){Ba.forEach(function(a){O[a.type].recallPosition(a)})},l=!1;!l;){b(a);for(var m=0;7>m;m++)c(m),d(m),e(),ra.calculateForces(),f(m);g(a)>O.env.errorbound&&a>O.env.lowestdeltat?(a/=O.env.slowdownfactor,k()):l=!0}return a};var O={Mass:{reset:function(a,b){a.vel=[0,0,0];a.pos=[0,0,0,0];a.el=b;"undefined"===typeof a.mass&&(a.mass=1);"undefined"===typeof a.charge&&(a.charge=0); -"undefined"===typeof a.friction&&(a.friction=0);a.lnfrict=0;"undefined"===typeof a.limitspeed&&(a.limitspeed=!1);"undefined"===typeof a.fixed&&(a.fixed=!1);"undefined"===typeof a.radius&&(a.radius=1);a.internalmove=!1;a.fx=0;a.fy=0;a.fz=0;a.vx=a.vx||0;a.vy=a.vy||0;a.vz=a.vz||0;a.mtype=0;a.env=O.env;a.deltat=0;a.mx=0;a.my=0;a.mz=0;a.mvx=0;a.mvy=0;a.mvz=0;a.dx=[0,0,0,0,0,0,0,0,0,0];a.dy=[0,0,0,0,0,0,0,0,0,0];a.dz=[0,0,0,0,0,0,0,0,0,0];a.dvx=[0,0,0,0,0,0,0,0,0,0];a.dvy=[0,0,0,0,0,0,0,0,0,0];a.dvz=[0, -0,0,0,0,0,0,0,0,0];a.midx=0;a.midy=0;a.midz=0;a.lx=0;a.ly=0;a.lz=0},resetForces:function(a){a.fx=0;a.fy=0;a.fz=0},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;a.xo=a.x;a.yo=a.y;a.zo=a.z;a.vxo=a.vx;a.vyo=a.vy;a.vzo=a.vz;a.deltat=b;a.fx=0;a.fy=0;a.fz=0},setVelocity:function(a,b,c,d){d||(d=0);a.vx=b;a.vy=c;a.vz=d},move:function(a){a.pos=[a.x,a.y,1];a.internalmove=!0;fa&&X.down&&a.el===fa.mover||Ia(a.el,g.realVector(a.pos),"homog"); -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;bO.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;bm?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 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/texmf-dist/doc/support/ketcindy/ketmanual/CindyJS/ketcindylib.txt b/texmf-dist/doc/support/ketcindy/ketmanual/CindyJS/ketcindylib.txt deleted file mode 100644 index 72469da8..00000000 --- a/texmf-dist/doc/support/ketcindy/ketmanual/CindyJS/ketcindylib.txt +++ /dev/null @@ -1,6419 +0,0 @@ -// 17.08.26 Slider -// 16.11.27 -Ketinit():=Ketinit(1); -Ketinit(sy):=Ketinit(sy,[-5,5],[-5,5]); -Ketinit(sy,rangex,rangey):=( - regional(pt,tmp,tmp1,tmp2); - PenThickInit=8; - ULEN="1cm"; - KETPICLAYER=20; - MilliIn=1/2.54*1000; - PenThick=round(MilliIn*0.02); - PenThickInit=PenThick; - TenSizeInit=0.02; - TenSize=TenSizeInit; - YaSize=1; YaAngle=18; YaPosition=1; - YaThick=1; YaStyle='tf'; - KETPICCOUNT=1; - KCOLOR=[0,0,0]; - GLIST=[]; - GCLIST=[]; -// GDATALIST=[]; - GOUTLIST=[]; - POUTLIST=[]; - VLIST=[]; - FUNLIST=[]; - LETTERlist=[]; - COM0thlist=[]; - COM1stlist=[]; - COM2ndlist=[]; - SCIWRLIST=[]; - SCIRELIST=[]; - ADDAXES="1"; - LFmark=unicode("000a"); - Dq=unicode("0022"); - WaitUnit=10; - CONTINUED=0; - OutComList=[]; - OutFileLIst=[]; // 15.10.22 - FigPdfList=[]; // 16.04.08 - ADDPACK=[]; // 16.05.16 - ErrFlag=0; - setdirectory(Dirwork); - if(isstring(Fhead), // 15.04.06 - Fnametex=Fhead+".tex"; - Fnamesci=Fhead+".sce"; - Fnamescibody=Fhead+"body.sce"; - Fnameout=Fhead+".txt"; - ); - if(!isstring(Mackc),// 16.06.07 - Mackc="sh"; - ); - ArrowlineNumber=1; // 15.01.05 - ArrowheadNumber=1; - BezierNumber=1; //15.01.03 - SCALEX=1; - SCALEY=sy; -// Setscaling(sy); - XMIN=rangex_1/SCALEX; - XMAX=rangex_2/SCALEX; - YMIN=rangey_1/SCALEY; - YMAX=rangey_2/SCALEY; - Setwindow("Msg=n"); // 16.05.31 -); - -DqDq(str):=unicode("0022")+str+unicode("0022"); - -Tab2list(dtstr):=Tab2list(dtstr,[]); -Tab2list(dtstr,options):=( -//help:Tab2list(datastr); -//help:Tab2list(options=[0]); - regional(dtall,dt,rep,out,crm,lfm,htm,first,tmp,tmp1,tmp2); - crm=unicode("000d"); - lfm=unicode("000a"); - htm=unicode("0009"); - rep=0; - if(length(options)>0,rep=options_1); - first=lfm; // 16.09.05from - if(indexof(dtstr,crm)>0, - first=crm; - if(indexof(dtstr,crm+lfm)>0, - first=first+lfm; - ); // 16.09.05upto - ); - tmp1=Indexall(dtstr,first); - tmp1=prepend(0,tmp1); - tmp1=append(tmp1,length(dtstr)); - dtall=[]; - forall(1..(length(tmp1)-1), - tmp=substring(dtstr,tmp1_#,tmp1_(#+1)-1); - if(length(tmp)>0, - dtall=append(dtall,tmp); - ); - ); - out=[]; - forall(dtall,dt, - tmp1=tokenize(dt,unicode("0009")); - tmp2=[]; - forall(tmp1, - if(isstring(#),tmp=parse(#),tmp=#); - if(!isreal(tmp), - if(length(#)>0,tmp=#,tmp=rep); - ); - tmp2=append(tmp2,tmp); - ); - out=append(out,tmp2); - ); - out; -); - -Columnlist(dt,list):=( // 16.09.04 -//help:Columnlist(dt,1..3); - apply(dt,#_list); -); - -Dispmat(dt):=( // 16.09.16 -//help:Dispmat(dt); - regional(htm,crm,lfm,row,tmp,tmp1,tmp2); - htm=unicode("0009"); - crm=unicode("000d"); - lfm=unicode("000a"); - tmp2=""; - forall(dt,row, - tmp1=""; - forall(row, - if(isstring(#), - tmp1=tmp1+#+htm; - , - tmp1=tmp1+text(#)+htm; - ); - ); - tmp1=substring(tmp1,0,length(tmp1)-1); - tmp1=tmp1+lfm; - tmp2=tmp2+tmp1; - ); - print(tmp2); - println(); -); - -norm(v1):=( // 16.09.01 -//help:norm([2,1,3]); - regional(out,tmp,tmp1,tmp2); - out=0; - forall(1..length(v1), - out=out+(v1_#)^2; - ); - out=sqrt(out); - out; -); -norm(v1,v2):=( - norm(v2-v1); -); - -// 16.03.28 -Removespace(str):=( -//help:Removespace(" a b c "); - regional(tmp,flg,out); - tmp=length(str)+1; - flg=0; - forall(1..length(str), - if(flg==0, - if((str_#)!=" ", - tmp=#; - flg=1; - ); - ); - ); - out=substring(str,tmp-1,length(str)); - flg=0; - tmp=0; - forall(reverse(1..length(out)), - if(flg==0, - if((out_#)!=" ", - tmp=#; - flg=1; - ); - ); - ); - out=substring(out,0,tmp); -); - -Indexall(str,key):=( - regional(rest,out,flg,tmp,tmp1,); - out=[]; - rest=str; - flg=0; - forall(1..length(str), - if(flg==0, - tmp=indexof(rest,key); - if(tmp>0, - tmp1=tmp+length(str)-length(rest); - out=append(out,tmp1); - rest=substring(rest,tmp,length(rest)); - , - flg=1; - ); - ); - ); - out; -); - -Changestyle(nameL,style):=( -//help:Changestyle(["sgAB"],["da"]); - regional(nmL,name,Ltype,Ltypeorg,Noflg,opcindy,tmp); - tmp=Divoptions(style); - Ltypeorg=tmp_1; - Noflg=tmp_2; - opcindy=tmp_(length(tmp)); - if(islist(nameL),nmL=nameL,nmL=[nameL]); - forall(nmL,name, - Ltype=Ltypeorg; - GCLIST=select(GCLIST,#_1!=name); - COM2ndlist=select(COM2ndlist,indexof(#,"("+name)==0); // 15.05.23 - if(Noflg<2, - if(isstring(Ltype), - Ltype=GetLinestyle(text(Noflg)+Ltype,name); - , - if(Noflg==1,Ltype=0); - ); - GCLIST=append(GCLIST,[name,Ltype,opcindy]); - ); - ); -); - -Op(n,object):=( // 16.05.25 -//help:Op(4,[1,2,3,4]); -//help:Op(3,"abcd"); - regional(out); - if(islist(object), - out=object_n; - , - if(isstring(object), - out=substring(object,n-1,n); - ); - ); - out; -); - -Toupper(str):=( - regional(alphabet,out,tmp,tmp1); - alphabet="abcdefghijklmnopqrstuvwxyz"; - out=""; - forall(1..length(str), - tmp=substring(str,#-1,#); - tmp1=indexof(alphabet,tmp); - if(tmp1>0, - out=out+unicode(text(tmp1+64),base->10); - , - out=out+tmp; - ); - ); - out; -); - -Textformat(value,dig):=( -//help:Textformat(2/3,4); -//help:Textformat([gr1,gr2],5); - regional(vv,tmp,tmp1); - if(islist(value), - tmp1="["; - forall(value, - tmp1=tmp1+Textformat(#,dig)+","; - ); - tmp1=substring(tmp1,0,length(tmp1)-1)+"]"; - , - if(ispoint(value) % isstring(value), -// vv=Lcrd(value); -// tmp1=Textformat(vv,dig); -// tmp1=text(value); // 15.04.07 - if(isstring(value),tmp1=Dq+value+Dq,tmp1=text(value)); // 15.10.02 - , - tmp1=format(value,dig); - ); - ); - tmp1; -); - -Sprintf(value,dig):=( -//help:Sprintf(5.1,4); - regional(vv,tmp,tmp1); - if(!islist(value), - vv=Textformat(value,dig); - if(indexof(vv,".")==0,vv=vv+"."); - vv=vv+"0000000000000000"; - tmp=indexof(vv,".")+dig; - vv=substring(vv,0,tmp); - , - vv=apply(value,Sprintf(#,dig)); - ); - vv; -); - -Assign(funstr,vrL):=( - regional(nn,out,tmp,tmp1); - nn=length(vrL)/2; - out=funstr; - forall(1..nn, - out=Assign(out,vrL_(2*#-1),vrL_(2*#)); - ); - out; -); - -Assign(funstr,varname,rep):=( -//help:Assign("x^2+a*x","a",1.3); -//help:Assign("a*x^2+b*x",["a",1,"b",2]); - regional(repstr,ii,jj,tmp,tmp1,tmp2,Notvar,Flg); - if(isstring(rep),repstr=rep,repstr="("+Textformat(rep,5)+")"); // 15.02.09, 07.06 - tmp=[46]; // 12.20 - tmp=concat(tmp,48..57); - tmp=concat(tmp,65..90); - tmp=concat(tmp,97..122); - Notvar=apply(tmp,unicode(text(#),base->10)); - tmp2=""; - forall(1..100, - ii=indexof(funstr,varname); - if(ii>0, - Flg=0; - if(ii>1, - tmp=substring(funstr,ii-2,ii-1); - if(contains(Notvar,tmp), - tmp2=tmp2+substring(funstr,0,ii); - funstr=substring(funstr,ii,length(funstr)); - Flg=1; - ); - ); - if(Flg==0, - jj=ii-1+length(varname); - if(jj0, - 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, - Out=["inf","inf"]; - Flg=1; - ); - if(max([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-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 & (p1eM1 % p2eM2), - if(q1eM1 % q2eM2, - 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 & (p1eM1 % p2eM2), - if(q1eM1 % q2eM2, - 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 & (q1eM1% q2eM2), - rT=min([max([p1,0]),1]); - Tmp1=pA+rT*pV; - Out=[Tmp1,rT,1]; - Flg=1; - ); - if(Flg==0, - if(abs(p2)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(Tmp20, - 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, - 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(sSrange_1 & #_1range_1 & #_10) & (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) % (va13,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(#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|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)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)tmp, - tmp1=concat(tmp1,[PdL_(tmp..(#-1))]) - ); - tmp=#+1; - ); - if(tmp0 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|tmp, - tmp1=concat(tmp1,[Out_(tmp..(#-1))]) - ); - tmp=#+1; - ); - if(tmp0 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)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 & #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)|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_20, - 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(tmp21, 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(tmpNumptcrv(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 & tmp21, - 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))|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, - 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(X0tmp2, - 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(Y0tmp2, - 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)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(#=n1 & m2<=n2, - gc=#; - flg=1; - ); - ); - ); - if(flg==1, - Changestyle([gc_1],["nodisp"]); - tail=""; - if(indexof(hd,"r")>0, - tail=hd; hd=""; - ); - if(n10, - 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))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); - ); - 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 & #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/texmf-dist/doc/support/ketcindy/ketmanual/KeTCindyReferenceJ.pdf b/texmf-dist/doc/support/ketcindy/ketmanual/KeTCindyReferenceJ.pdf deleted file mode 100644 index 0edfbc97..00000000 Binary files a/texmf-dist/doc/support/ketcindy/ketmanual/KeTCindyReferenceJ.pdf and /dev/null differ diff --git a/texmf-dist/doc/support/ketcindy/ketmanual/helpbuttonJ.pdf b/texmf-dist/doc/support/ketcindy/ketmanual/helpbuttonJ.pdf deleted file mode 100644 index a05f7ab6..00000000 Binary files a/texmf-dist/doc/support/ketcindy/ketmanual/helpbuttonJ.pdf and /dev/null differ diff --git a/texmf-dist/doc/support/ketcindy/ketmanual/helpbuttonsE.pdf b/texmf-dist/doc/support/ketcindy/ketmanual/helpbuttonsE.pdf deleted file mode 100644 index c2f6c833..00000000 Binary files a/texmf-dist/doc/support/ketcindy/ketmanual/helpbuttonsE.pdf and /dev/null differ diff --git a/texmf-dist/doc/support/ketcindy/ketmanual/helplist3dJ.pdf 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a/texmf-dist/doc/support/ketcindy/ketsample/samples/s06animation/s0607hypotrochoid.cdy and /dev/null differ diff --git a/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/fig/slide0.tex b/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/fig/slide0.tex deleted file mode 100644 index 3ff43765..00000000 --- a/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/fig/slide0.tex +++ /dev/null @@ -1,11 +0,0 @@ -{\Large\bf -\color[cmyk]{1,1,0,0} - -\begin{layer}{120}{0} -{\Huge \putnotes{60}{20}{メインタイトル}} -\putnotes{60}{50}{åå‰} -\putnotes{60}{60}{所属} -\putnotes{60}{70}{情報} -\end{layer} - -} diff --git a/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/fig/wallpaper.tex b/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/fig/wallpaper.tex deleted file mode 100644 index 5c08113b..00000000 --- a/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/fig/wallpaper.tex +++ /dev/null @@ -1,12 +0,0 @@ -{\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/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/howtouseslideE.txt b/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/howtouseslideE.txt deleted file mode 100644 index b7fc171b..00000000 --- a/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/howtouseslideE.txt +++ /dev/null @@ -1,79 +0,0 @@ -Presentation with ketslide 2018.03.30 - -0. Flow of making slides. - - 1) Copy ketsample/s07slideã®s0701basic.cdy to your work directory and rename it. - Ex) s0701basic.cdy , s0701basic.txt - Rem) Rename both files. - Here, let files sample.cdy and sample.txt. - 2) Double-click sample.cdy, edit Settitle. - 3) Press Gear mark on the top. - 4) Press button "Title" on the screen. - 5) Press button "Slide". - -1. Editing the .txt file. - - 1) Put // at the last of every lines. - Rm) Use |||| for //. - http::||||.... // - 2) Use :: for separators of each command. - 3) Commands - title::titleslidename(::wallpaper)// - Rm) Put the first line. - main::mainttitlename// - new::pagetitlename// - enumerate// - =\begin{enumerate} - itemize// - =\begin{itemize} - layer::{xsize}{ysize}// - =\begin{layer}{xsize}{ysize} - item::sentence// - =\item sentence - putnote::dir{xpos}{ypos}::filename(,scale)// - =putnotedir{xpos}{ypos}{\input{fig/filename}} - end// - =\end{itemize,enumerate,layer} - Rm) Any other TeX command is available. - 4) Use ...// for inserting a blank line. - 5) To display a page step by step - Put just after new, - %repeat=number of steps// - Put at the head of each line as - %[2,-]::sentence - display at all steps from 2 - %[-,2]::sentence - display at all steps until 2 - %[1..3,5]::sentence - display at steps of 1,2,3 and 5 - Use %thin to display with thin letters. - %thin::[2,-]::sentence - Rm) the dencity can be changed with Setslidebody. - 6) To display all figures in the sub folder in folder "fig" - %repeat=// - %para=subfig:{0}:s{60}{10}:input(:scale)// - -2. Setting commands described in the cdy file. - Setslidemain([letterc,boxc,boxd,framec,xpos,size]); - Setslidepage([letterc,boxc,boxd,framec,shadowc,shadowd,xpos,size]); - Setslidebody(bodycolor,bodystyle,density); - Setslidehyper("dvipdfmx",["cl=true,lc=blue,fc=blue",90,70,1]); - -3. Making flip animation - - 1) Define Mf(s) the state at s. - 2) Add Setpara as - Setpara(foldername,funcitonstr,range,options); - options=["m/r", "Div=25"]; - 3) Press button Flip - 4) Describe in the .txt file as 1. 6). - 5) Press button Slide. - -4. Making animation. - - 1) Add in the .cdy file - Addpackage(["[dvipdfmx]{animate}"]); - 2) Add in the option of Setpara, - "Frate=num of frame in the second, "Scale=scale, "OpA=optin of animation" - 3) Define mf(s), Press button Anime. - 4) Use \input, not layer. diff --git a/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/howtouseslideJ.txt b/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/howtouseslideJ.txt deleted file mode 100644 index 440fefea..00000000 --- a/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/howtouseslideJ.txt +++ /dev/null @@ -1,132 +0,0 @@ -ketslideã«ã‚ˆã‚‹ãƒ—レゼンテーション  2018.03.30 - -ï¼ï¼Žä½œæˆã®æµã‚Œ - - 1)ketsample/s07slideã®ä¸­ã®2ã¤ã®ãƒ•ã‚¡ã‚¤ãƒ«ã‚’作業ディレクトリã«ã‚³ãƒ”ーã—ã¦å称変更 -    例)s0701basic.cdy , s0701basic.txt -    注)å称変更ã™ã‚‹ã¨ãã¯ï¼Œcdyã¨txtã‚’åŒåã«ã™ã‚‹ï¼Ž -   ã“ã“ã§ã¯ï¼Œãƒ•ã‚¡ã‚¤ãƒ«åã‚’sample.cdyã¨sample.txtã¨ã™ã‚‹ï¼Ž - 2)sample.cdyをダブルクリックã§ç«‹ã¡ä¸Šã’,1をå‚考ã«Settitleã®ä¸­èº«ã‚’修正ã™ã‚‹ï¼Ž -    注)Settitleã®ã‚ªãƒ—ション(=ã®å³ã¯ãƒ‡ãƒ•ã‚©ãƒ«ãƒˆå€¤ï¼‰ -         ["Title=slide0","Layery=0","Color=blue"] - 3)å³ä¸Šã®æ­¯è»Šãƒžãƒ¼ã‚¯ã‚’押ã™ï¼Ž - 4)画é¢ä¸Šã®Titleボタンを押ã™ï¼Ž -    タイトルスライドãŒä½œæˆã•ã‚Œï¼Œç”»é¢ãŒè¡¨ç¤ºã•ã‚Œã‚‹ï¼Ž -    必è¦ãªã‚‰ï¼ŒSettitleを修正ã™ã‚‹ï¼Ž - 5)Slideボタンを押ã™ã¨ï¼Œsample.pdfãŒä½œæˆã•ã‚Œã‚‹ï¼Ž - -1.txtファイルã®ç·¨é›† - - 1)ã™ã¹ã¦ã®è¡Œã®æœ€å¾Œã¯å¿…ãš // ã‚’ã¤ã‘る. -    注)urlã®æŒ‡å®šã§//を用ã„ã‚‹ã¨ã,||||ã¨ã™ã‚‹ã¨//ã«å¤‰æ›ã•ã‚Œã‚‹ï¼Ž - 2)å„ブロックã®å¼•æ•°ã®åŒºåˆ‡ã‚Šã¯ :: - 3)コマンド -    ・タイトル::読込ファイルå(::å£ç´™ãƒ•ã‚¡ã‚¤ãƒ«)// -       タイトルページを作æˆï¼ˆï¼‘行目ã«ãŠã) -      注)å£ç´™(例ãˆã°wallpaperã¨ã™ã‚‹ï¼‰ã‚’背景ã«å…¥ã‚Œã‚‹ã¨ã -        ・例ãˆã°wallpaper.texを作æˆã—ã¦figフォルダã«å…¥ã‚Œã‚‹ï¼Ž -          (figã«ã‚るサンプルwallpaper.texã‚’å‚照) -        ・sample.txtã§ã®æŒ‡å®šã¯ -           タイトル::slide0::wallpaper// -        ・å£ç´™ã‚’一時的ã«å¤–ã™ã¨ã㯠-           タイトル::slide0::%wallpaper// -      注)preambleã«è¿½åŠ ã™ã‚‹ã¨ã -         1行目ã®//を外ã™ï¼Ž -         次ã®è¡Œã‹ã‚‰ï¼Œ::区切りã§æ›¸ã加ãˆï¼Œæœ€å¾Œã«//ã‚’ãŠã. -      注)タイトル画é¢ãŒä¸è¦ã®å ´åˆã¯ï¼Œ -         タイトル(ã¾ãŸã¯title)::notitle// -    ・main::段è½ã‚¿ã‚¤ãƒˆãƒ«å// -    ・new(::行下ã’)::タイトル((::ä½ç½®)::読ã¿è¾¼ã¿ãƒ•ã‚¡ã‚¤ãƒ«)// -      mainslide -      例)new::[10]::最åˆã«::{50}{20}::figure// -      注)読ã¿è¾¼ã¿ãƒ•ã‚¡ã‚¤ãƒ«ã®ã‚µã‚¤ã‚ºå¤‰æ›´ã™ã‚‹ã¨ã -         new::[10]::最åˆã«::{50}{20}::figure,0.8// -        他もåŒæ§˜ -    ・enumerate/ -      enumerate環境ã®å§‹ã¾ã‚Š -    ・itemize// -      itemize環境ã®å§‹ã¾ã‚Š -    ・layer(::範囲)// -      layer環境ã®å§‹ã¾ã‚Š -    ・item::æ–‡// -      itemを追加 -    ・putnote::æ–¹å‘ã¨ä½ç½®::読ã¿è¾¼ã¿ãƒ•ã‚¡ã‚¤ãƒ«// -      layer環境ã®ä¸­ã«å›³ã‚’入れる -      例)putonote::se{30}{10}::figure( , å€çŽ‡)//(inputã®ã¨ã) -          figã®ä¸­ã®figure.texを表示 -      例)putonote::se{30}{10}::include[width=5cm]::figure.pdf// -          (includegraphicsã®ã¨ã) -      注)図ã¯ã™ã¹ã¦figã«å…¥ã‚Œã‚‹ï¼Ž -    ・end// -      enumerate,itemize,layer環境ã®çµ‚ã‚ã‚Š -    ・上記以外// -      ãã®ã¾ã¾TeXã«æ›¸ã出ã™ï¼Ž -    ・コマンドをコメントアウトã™ã‚‹ã¨ãã¯ï¼Œ%%ã¨ã™ã‚‹ï¼Ž - - 4)空白行を入れãŸã„ã¨ãã¯ï¼Œ...// ã¨ã™ã‚‹ï¼Ž - - 5)newã®å¾Œï¼Œãƒšãƒ¼ã‚¸ã‚’段階的ã«è¡¨ç¤ºã™ã‚‹ã¨ã, -   ・newã®æ¬¡ã®è¡Œã« -     %repeat=(newã‚’å«ã‚€ã‚¹ãƒ©ã‚¤ãƒ‰ã®æžšæ•°ï¼‰,para// -   ・表示ã—ãŸã„ページ㯠-      %[2,-]::本文// -    ã®ã‚ˆã†ã«æ›¸ã. -     注)[2,- ]ã¯2ページ以é™å…¨éƒ¨ -       [-, 2]ã¯2ページã¾ã§è¡¨ç¤º -       [1..3,5 ]ã¯1ページã‹ã‚‰3ページã¨5ページ -   ・repeat=...ã®å¾Œã«ã€Œ,paraã€ã‚’追加ã™ã‚‹ã¨ãƒªãƒ³ã‚¯ã‚’ä½œæˆ -   ・指定以外ã®ãƒšãƒ¼ã‚¸ã§è–„文字ã«ã—ãŸã„ã¨ãã¯ã€€%thin[2]::本文 -     注)薄文字ã®æ¿ƒã•ã®ãƒ‡ãƒ•ã‚©ãƒ«ãƒˆã¯0.1ã ãŒï¼ŒSetslidebodyã§å¤‰æ›´å¯èƒ½ -     注)txtファイルã«ä»¥ä¸‹ã‚’記述ã™ã‚Œã°ï¼Œä»¥é™ã®æ¿ƒã•ãŒå¤‰ã‚る. -          \setthin{濃ã•}// - - 6)figã®ä¸­ã«ã‚るサブフォルダ(例ãˆã°subfig)ã®å›³ãƒ•ã‚¡ã‚¤ãƒ«ã™ã¹ã¦ã‚’é †ã«è¡¨ç¤ºã™ã‚‹ã¨ã -   ・newã®æ¬¡ã®è¡Œã« -     %repeat=// -     %para=subfig:{0}:s{60}{10}:input(:å€çŽ‡)// -       ï¼ï¼ž layer{120}{0}, \putnotes{60}{10}{\input...} -    注)%repeat=,para=...ã¨ç¶šã‘ã¦æ›¸ã„ã¦ã‚‚よã„. -    注)一時的ã«ç„¡åŠ¹ã«ã™ã‚‹ã¨ãã¯ï¼Œ%%ã¨ã™ã‚‹ï¼Ž - -2.スライドã®è¨­å®š - - 1)cdyã®figureã«è¨˜è¿°ã™ã‚‹ï¼Ž - 2)コマンド -   ・Setslidemain([letterc,boxc,boxd,framec,xpos,size]); -     メイン(段è½åŒºåˆ‡ã‚Šï¼‰ã®è¨­å®š -     注)一部をデフォルト値ã¨ã™ã‚‹å ´åˆã¯ [,,]ãªã©ã¨ã™ã‚‹ï¼Žä»¥ä¸‹åŒæ§˜ -   ・Setslidepage([letterc,boxc,boxd,framec,shadowc,shadowd,xpos,size]); -     ページã®è¨­å®š -   ・Setslidebody(bodycolor,bodystyle,density); -     全体ã®æ–‡å­—色ã¨è–„文字ã®æ¿ƒã•(0-1)ã®è¨­å®š -     bodystyleã®ãƒ‡ãƒ•ã‚©ãƒ«ãƒˆã¯ã€€"\Large\bf\boldmath" -   ・Setslidehyper("dvipdfmx",["cl=true,lc=blue,fc=blue",90,70,1]); -     hyperrefを利用ã™ã‚‹ï¼Œ -     注)Setslidehyper();ã¨ã™ã‚‹ã¨ï¼Œhyperref.styを読ã¿è¾¼ã¿ï¼Œ -      ã‹ã¤ï¼Œä¸Šã®ãƒ‡ãƒ•ã‚©ãƒ«ãƒˆå€¤ãŒä¸Žãˆã‚‰ã‚Œã‚‹ï¼Ž -     注)数字ã¯ï¼Œãƒšãƒ¼ã‚¸ç§»å‹•ãƒœã‚¿ãƒ³åˆ—ã«ã¤ã„ã¦ï¼Œå³ç«¯ã®æ°´å¹³ä½ç½®ï¼Œåž‚直サイズ,å€çŽ‡ - -3.パラパラ動画ã®ä½œæˆ - -  (1)mf(s)ã«ãƒ‘ラメータ値sã®ã¨ãã®å›³ã‚’記述ã™ã‚‹ï¼Ž -  (2)パラパラã®è¨­å®š -    Setpara(foldername,funcitonstr,range,options); -       options=["m/r", "Div=25"]; -    注)rangeã®è¨˜è¿° -     i) "s=[0,1]" 区間をDivã§åˆ†å‰² -     ii) [0.2, 0.6] リストã®å„値をsã«ä»£å…¥ -  (3)ParaFボタンを押ã™ã¨ï¼Œfoldernameã®ä¸­ã«ãƒ‘ラパラã®å›³ãŒç”Ÿæˆã•ã‚Œã‚‹ï¼Ž -  (4)txtファイルã«ï¼Œï¼‘ã®ï¼–)ã®ã‚ˆã†ã«è¨˜è¿°ã™ã‚‹ï¼Ž -  (5)Slideボタンを押ã™ï¼Ž - -4.animationã®ä½œæˆ - -   注)PathAdã«AdobeReaderã®ãƒ‡ãƒ•ã‚©ãƒ«ãƒˆã®ãƒ‘スãŒè¨­å®šã•ã‚Œã¦ã„る. -      println(PathAd)ã«ã‚ˆã‚Šï¼Œãƒ‘スãŒç¢ºèªã§ãる. -     変更ã™ã‚‹ã¨ãã¯ï¼Œchangesetting.txtã«ãƒ‘スを記述ã™ã‚‹ï¼Ž -        PathAd="...."; -  (1)Addpackage(["[dvipdfmx]{animate}"]);を追加ã™ã‚‹ï¼Ž -  (2)Setparaã®ã‚ªãƒ—ション -      "Frate="(1秒間ã®ãƒ•ãƒ¬ãƒ¼ãƒ æ•°), "Scale="(スケールå€çŽ‡), "OpA=[loop]" -  (3)mf(s)を定義ã—ã¦ï¼ŒAnimeボタンを押ã™ï¼Ž -  (4)読ã¿è¾¼ã¿å ´æ‰€ã«ï¼Œ\inputを使ã£ã¦å…¥ã‚Œã‚‹ï¼Ž(layerã¯ä½¿ãˆãªã„) diff --git a/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0701basic.cdy b/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0701basic.cdy deleted file mode 100644 index 886b5bc0..00000000 Binary files a/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0701basic.cdy and /dev/null differ diff --git a/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0701basic.txt b/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0701basic.txt deleted file mode 100644 index 9650b53c..00000000 --- a/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0701basic.txt +++ /dev/null @@ -1,21 +0,0 @@ -タイトル::slide0::%wallpaper// - -%%%%%%%%%%%%%%%%// -main::メインスライド1// - -%%%%%%%%%%%%%%%%// -new::itemize環境ã®ä½¿ã„æ–¹// - -itemize// -item::内容// -item::çµè«–// -end// - -%%%%%%%%%%%%%%%%// -new::enumerate環境ã®ä½¿ã„æ–¹// - -enumerate::[(1)]// -item::番å·ã‚’変ãˆã‚‹ã«ã¯ï¼Œä¾‹ãˆã° [(1)]// -item::後ã¯åŒã˜// -end// - diff --git a/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0701basicE.cdy b/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0701basicE.cdy deleted file mode 100644 index 0025ed37..00000000 Binary files a/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0701basicE.cdy and /dev/null differ diff --git a/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0701basicE.txt b/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0701basicE.txt deleted file mode 100644 index a6c607e7..00000000 --- a/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0701basicE.txt +++ /dev/null @@ -1,21 +0,0 @@ -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/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0702graph.cdy b/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0702graph.cdy deleted file mode 100644 index 6ce49ec7..00000000 Binary files a/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0702graph.cdy and /dev/null differ diff --git a/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0702graphE.cdy b/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0702graphE.cdy deleted file mode 100644 index 4b59de6c..00000000 Binary files a/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0702graphE.cdy and /dev/null differ diff --git a/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0702graphE.txt b/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0702graphE.txt deleted file mode 100644 index 295050c5..00000000 --- a/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0702graphE.txt +++ /dev/null @@ -1,19 +0,0 @@ -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/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0703repeat.cdy b/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0703repeat.cdy deleted file mode 100644 index fa509952..00000000 Binary files a/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0703repeat.cdy and /dev/null differ diff --git a/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0703repeat.txt b/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0703repeat.txt deleted file mode 100644 index 3f29c04c..00000000 --- a/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0703repeat.txt +++ /dev/null @@ -1,32 +0,0 @@ -タイトル::slide0::%wallpaper// - -%%%%%%%%%%%%%%%%// -main::メインスライド1// - -%%%%%%%%%%%%%%%%// -new::itemize環境ã®ä½¿ã„æ–¹// -%repeat=2// - -itemize// -item::内容// -%[2,-]::item::çµè«–// -end// - -%%%%%%%%%%%%%%%%// -new::enumerate環境ã®ä½¿ã„æ–¹// -%repeat=3// - -enumerate::[(1)]// -%thin[2,-]::item::番å·ã‚’変ãˆã‚‹ã«ã¯ï¼Œä¾‹ãˆã° [(1)]// -%thin[3,-]::item::後ã¯åŒã˜// -end// - -%%%%%%%%%%%%%%%%// -new::グラフã¨repeat// -%repeat=2// - -layer::{100}{0}// -%[1]::putnote::se{10}{15}::figsin,0.8// -%[2]::putnote::se{30}{40}::figsin,0.8// -end// - diff --git a/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0703repeatE.cdy b/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0703repeatE.cdy deleted file mode 100644 index 1da10768..00000000 Binary files a/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0703repeatE.cdy and /dev/null differ diff --git a/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0703repeatE.txt b/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0703repeatE.txt deleted file mode 100644 index 6ae811a1..00000000 --- a/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0703repeatE.txt +++ /dev/null @@ -1,32 +0,0 @@ -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/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0704thin.cdy b/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0704thin.cdy deleted file mode 100644 index 012e8971..00000000 Binary files a/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0704thin.cdy and /dev/null differ diff --git a/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0704thin.txt b/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0704thin.txt deleted file mode 100644 index 7c97865e..00000000 --- a/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0704thin.txt +++ /dev/null @@ -1,53 +0,0 @@ -タイトル::slide0::%wallpaper/ - -%%%%%%%%%%%%%%%%// -main::メインスライド1// - -%%%%%%%%%%%%%%%%// -new::ç”»é¢ä¸Šã®ãƒœã‚¿ãƒ³// - -itemize// -item::\Ltab{20mm}{Figure}é™æ­¢ç”»ï¼ˆFhead+".tex")をfigã«ä½œæˆ// -item::\Ltab{20mm}{Title}タイトル(default : slide0)ã‚’figã«ä½œæˆ// -item::\Ltab{20mm}{ParaF}パラパラ動画フォルダを作æˆ\\// -\Ltab{25mm}{}Setparaã§å¼•æ•°ã‚’書ã„ã¦ãŠã// -item::\Ltab{20mm}{Slide}Texparent+".txt"ã‹ã‚‰ã‚¹ãƒ©ã‚¤ãƒ‰ã‚’作æˆ// -item::\Ltab{20mm}{Sum}Summaryã®PDFを作æˆ// -end// - -%%%%%%%%%%%%%%%%// -new::enumerate環境ã®ä½¿ã„æ–¹// -%repeat=3// - -%[2,-]::enumerate::[(1)]// -%[2,-]::item::番å·ã‚’変ãˆã‚‹ã«ã¯ï¼Œä¾‹ãˆã° [(1)]// -%[3,-]::item::表示ページã¯ãƒªã‚¹ãƒˆã§ä¸Žãˆã‚‹\\// -%[3,-]::\hspace*{10mm}[1],\ [1,-],\ [1..3],\ [1..3,6]ãªã©// -%[2,- ]::end// - -%%%%%%%%%%%%%%%%// -new::薄文字ã®ä½¿ã„æ–¹// -%repeat=4// - -itemize// -%thin[2,-]::item::Setslidebodyã®3番目ã®å¼•æ•°ã§æ¿ƒã•ã‚’変更\\// -%thin[2,-]::\hspace*{10mm}\verb|Setslidebody(["","",0.2]);|// -%thin[3,-]::item::デフォルトã¯$0.1$// -%thin[4]::item::リストã®ãƒšãƒ¼ã‚¸ä»¥å¤–ãŒè–„文字ã«ãªã‚‹// -end// - -%%%%%%%%%%%%%%%%// -new::layerã®ä½¿ã„æ–¹// -%repeat=5// - -\setthin{0}// - -itemize// -%thin[1,-]::item::layerã®å§‹ã¾ã‚Šã¯\verb+layer+{:}{:}\verb+{120}{0}+// -%thin[2,-]::item::layerã®çµ‚ã‚ã‚Šã¯\verb|end|// -%thin[3,-]::item::図ã¯\verb+putnote+{:}{:}\verb+se{80}{5}+{:}{:}\verb+grf+// -%thin[4,-]::item::図ã®ã‚µã‚¤ã‚ºã‚’変ãˆã‚‹ã¨ãã¯\\// -%thin[4,-]::\hspace*{10mm}{:}{:}\verb+grf,0.8+// -%thin[5]::item::通常ã®\verb|\putnote|文も使ãˆã‚‹// -end// - diff --git a/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0705para.cdy b/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0705para.cdy deleted file mode 100644 index ffc2f5de..00000000 Binary files a/texmf-dist/doc/support/ketcindy/ketsample/samples/s07slides/s0705para.cdy and /dev/null differ diff --git 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index 4aa74435..00000000 --- a/texmf-dist/doc/support/ketcindy/source/ketjava/KetCindyPlugin.java +++ /dev/null @@ -1,430 +0,0 @@ -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") - // 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-\settowidth{\Width}{$D<0$}\setlength{\Width}{-0.5\Width}% -\settoheight{\Height}{$D<0$}\settodepth{\Depth}{$D<0$}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% -\put(10.0000,8.0000){\hspace*{\Width}\raisebox{\Height}{$D<0$}}% -% -% -\settowidth{\Width}{2点ã§äº¤ã‚ã‚‹}\setlength{\Width}{-0.5\Width}% -\settoheight{\Height}{2点ã§äº¤ã‚ã‚‹}\settodepth{\Depth}{2点ã§äº¤ã‚ã‚‹}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% -\put(2.0000,6.3000){\hspace*{\Width}\raisebox{\Height}{2点ã§äº¤ã‚ã‚‹}}% -% -% -\settowidth{\Width}{接ã™ã‚‹}\setlength{\Width}{-0.5\Width}% -\settoheight{\Height}{接ã™ã‚‹}\settodepth{\Depth}{接ã™ã‚‹}\setlength{\Height}{-0.5\Height}\setlength{\Depth}{0.5\Depth}\addtolength{\Height}{\Depth}% -\put(6.0000,6.3000){\hspace*{\Width}\raisebox{\Height}{接ã™ã‚‹}}% -% -% -\settowidth{\Width}{共有点ãªã—}\setlength{\Width}{-0.5\Width}% 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files a/texmf-dist/doc/support/ketcindy/source/ketmanual/KeTCindyReferenceJ.pdf and /dev/null differ diff --git a/texmf-dist/doc/support/ketcindy/source/ketmanual/KeTCindyReferenceJ.tex b/texmf-dist/doc/support/ketcindy/source/ketmanual/KeTCindyReferenceJ.tex deleted file mode 100644 index 7c2eb756..00000000 --- a/texmf-dist/doc/support/ketcindy/source/ketmanual/KeTCindyReferenceJ.tex +++ /dev/null @@ -1,5842 +0,0 @@ -\documentclass[papersize,a4paper,12pt,uplatex]{jsarticle} -\usepackage{ketpic,ketlayer} -\usepackage{amsmath} -\usepackage{newtxmath} -\usepackage[dvipdfmx]{graphicx,color} -\usepackage{wrapfig} -\usepackage[dvipdfmx,bookmarks=false,colorlinks=true,linkcolor=blue]{hyperref} -\setmargin{20}{20}{15}{25} -\usepackage{setspace} - - -\begin{document} -\title{\ketcindy リファレンスマニュアル} -\author{\ketcindy\ Project Team} -\maketitle - - -\tableofcontents - -\newpage - - -\section{\ketcindy ã«ã¤ã„ã¦} -\subsection{システムã®æ§‹æˆ} -\ketcindy ã¯ï¼ŒCinderella ã§ã®ä½œå›³ãƒ‡ãƒ¼ã‚¿ã‚’Scilab版 \ketpic ã«æ¸¡ã—,\LaTeX ファイルを作æˆã™ã‚‹ãŸã‚ã®ã‚¹ã‚¯ãƒªãƒ—トライブラリã§ã‚る。Cinderella ã«ã‚ˆã‚‹ã‚¤ãƒ³ã‚¿ãƒ©ã‚¯ãƒ†ã‚£ãƒ–ãªä½œå›³æ©Ÿèƒ½ã¨ï¼ŒCindyScript ã«ã‚ˆã‚‹ãƒ—ログラミングã«ã‚ˆã‚Šï¼Œ\LaTeX 文書ã®æŒ¿å…¥å›³ã‚’効率よã作æˆã™ã‚‹ã“ã¨ãŒã§ãる。ã¾ãŸï¼ŒR,Maxima,Risa/Asirãªã©ã®æ•°å¼å‡¦ç†ã‚½ãƒ•ãƒˆã¨é€£æºã—ã¦è¨ˆç®—ã‚’è¡Œã†ã“ã¨ãŒã§ãる。 - -\input{Fig/concept} - - Cinderellaã§ä½œå›³ã—ãŸå›³ã®ãƒ‡ãƒ¼ã‚¿ã¯ï¼ŒScilabã®ãƒ•ã‚¡ã‚¤ãƒ«ï¼ˆæ‹¡å¼µå­ sci)ã«æ›¸ã出ã•ã‚Œã‚‹ã€‚ã“れをScilabã§å‡¦ç†ã—ã¦\TeX ファイルを作æˆã™ã‚‹ï¼ˆ Scilab版 \ketpic)。ã§ããŸ\TeX ファイルを,本文中㫠inputコマンド ã§æŒ¿å…¥ã™ã‚Œã°å›³ãŒè¡¨ç¤ºã•ã‚Œã‚‹ã€‚\\ - Cinderellaã¨Scilabã‚„ãã®ä»–ã®ã‚½ãƒ•ãƒˆã‚¦ã‚§ã‚¢ã¨ã®é€£æºã«ã¯ï¼Œãƒãƒƒãƒãƒ•ã‚¡ã‚¤ãƒ«ï¼ˆMacã§ã¯ã‚·ã‚§ãƒ«ãƒ•ã‚¡ã‚¤ãƒ«ï¼‰ã‚’用ã„ã¦ã„る。(概念図ã®ä¸¡æ–¹å‘矢å°) ãƒãƒƒãƒãƒ•ã‚¡ã‚¤ãƒ«ã¯ kc.bat,シェルファイル㯠kc.sh ã§ï¼ŒKeTCindy ãŒç›®çš„ã«å¿œã˜ã¦ã“れらã®ãƒ•ã‚¡ã‚¤ãƒ«ã‚’書ã出ã—,プラグイン KetCindyPlugin.jar ã§ãれらを実行ã™ã‚‹æ‰‹é †ã«ãªã£ã¦ã„る。\\ - \\ -\subsection{Cindyscriptã®ã‚¹ãƒ­ãƒƒãƒˆã®æ¦‚念} -Cindyscriptã¯Cinderellaã®ãƒ—ログラミング言語ã§ï¼Œã‚¹ã‚¯ãƒªãƒ—トエディタã§è¨˜è¿°ã™ã‚‹ã€‚スクリプトエディタã¯ï¼Œã€Œã‚¹ã‚¯ãƒªãƒ—トã€ãƒ¡ãƒ‹ãƒ¥ãƒ¼ã®ã€ŒCindyscriptã€ã‚’é¸æŠžã—ã¦é–‹ãã‹ï¼ŒCtrl+9 (Windows) / ⌘+9 (Mac) ã§é–‹ã。\\ - スクリプトエディタã®å·¦æ–¹ã«ä¸¦ã‚“ã§ã„るフォルダアイコンã®ãƒ¡ãƒ‹ãƒ¥ãƒ¼é¢¨ã®ã‚‚ã®ã‚’「スロットã€ã¨ã„ã„,Cindyscriptã®å®Ÿè¡Œã‚¿ã‚¤ãƒŸãƒ³ã‚°ã«ã‚ˆã‚Šã‚¹ã‚¯ãƒªãƒ—トを書ã分ã‘ã‚‹ã“ã¨ãŒã§ãる。通常㯠Initialzation スロット㨠Draw スロットを使ã†ã€‚\\ - Initialzation スロットã¯ï¼Œã‚¹ã‚¯ãƒªãƒ—トを実行ã™ã‚‹ã¨æœ€åˆã«ä¸€åº¦ã ã‘実行ã•ã‚Œã‚‹ã€‚従ã£ã¦ï¼Œé–¢æ•°å®šç¾©ã‚„変数ã®åˆæœŸè¨­å®šãªã©ã‚’書ã。ã²ãªå½¢ã‚„サンプル㮠cdy ファイルã§ã¯ã“ã“ã« KETlib ã¨ã„ã†ãƒšãƒ¼ã‚¸ãŒã‚り,パスåã®è¨­å®šã‚„ライブラリã®èª­ã¿è¾¼ã¿ãªã©ï¼ŒKeTCindyã®åˆæœŸè¨­å®šã«é–¢ã™ã‚‹è¨˜è¿°ãŒã‚る。\\ - Draw スロットã¯ï¼ŒCinderellaã®ç”»é¢ä¸Šã§ãªã«ã‹æ“作ãŒè¡Œã‚れるãŸã³ã«å®Ÿè¡Œã•ã‚Œã‚‹ã€‚通常ã¯ã“ã“ã«ã‚¹ã‚¯ãƒªãƒ—トを書ã。ã²ãªå½¢ã®cdyファイルã§ã¯ï¼ŒKetinit() ãªã©ãŒè¨˜è¿°ã•ã‚ŒãŸ figures ページãŒç”¨æ„ã•ã‚Œã¦ã„る。\\ - \\ -    \includegraphics[bb=0 0 1076 392 , width=10cm]{Fig/slot.png}\\ - \\ - 1ã¤ã®ã‚¹ãƒ­ãƒƒãƒˆã«è¤‡æ•°ã®ãƒšãƒ¼ã‚¸ã‚’作るã“ã¨ãŒã§ãる。KETlib以外ã«åˆæœŸè¨­å®šã®ã‚¹ã‚¯ãƒªãƒ—トを書ãå ´åˆã¯ï¼ŒInitialzation スロットã«æ–°ã—ã„ページを作るã®ãŒã‚ˆã„。\\ - - -\subsection{プロットデータ} -プロットデータ(Plot Data) ã¨ã¯ï¼Œé–¢æ•°ã®ã‚°ãƒ©ãƒ•ã‚„幾何è¦ç´ ã‚’æãデータã®ã“ã¨ã§ã‚り,KeTCindyã®å‡¦ç†ã®ä¸­æ ¸ã‚’ãªã—ã¦ã„る。本マニュアルã§ã¯ PD ã¨ç•¥ã™ã“ã¨ãŒã‚る。ãŸã¨ãˆã°æ›²ç·šã¯ï¼Œæ画範囲を分割ã—ã¦ç·šåˆ†ã®é›†ã¾ã‚Šã¨ã—ã¦æç”»ã—ã¦ãŠã‚Šï¼Œã“ã®ã¨ãã®ãƒ—ロットデータã¯ãれらã®ç·šåˆ†ã®ç«¯ç‚¹ã®ãƒªã‚¹ãƒˆã§ã‚る。\\ - プロットデータã®å称ã¯KeTCindyãŒè‡ªå‹•çš„ã«å‘½åã™ã‚‹ã€‚ãã®å‘½åè¦å‰‡ã¯æ¬¡ã®é€šã‚Šã§ã‚る。\\ -\\ -・å称ã®é ­éƒ¨ã¯ï¼Œãƒ—ロットデータを作æˆã™ã‚‹é–¢æ•°ã”ã¨ã«æ±ºã¾ã£ã¦ã„る。\\ -・第1引数㫠name ãŒä¸Žãˆã‚‰ã‚Œã‚‹å ´åˆï¼Œname を頭部ã«ä»˜åŠ ã™ã‚‹ã€‚\\ -   例:\verb|Listplot("1",[[0,0],[1,2]]);| ã®ã¨ã,sg1\\ -・関数ã«ã‚ˆã£ã¦ã¯ï¼Œç¬¬ï¼‘引数㮠name ã‚’ç•¥ã™ã“ã¨ãŒã§ãる。ã“ã®å ´åˆï¼Œå¼•æ•°ã§ç”¨ã„られãŸç‚¹ã®åå‰ã‚’頭部ã«ä»˜åŠ ã™ã‚‹ã€‚\\ -   例:\verb|Listplot([A,B,C]);|    ã®ã¨ã,sgABC\\ - \\ - プロットデータを生æˆã—ãŸã¨ãã¯ï¼ŒCindyscriptエディタã®ã‚³ãƒ³ã‚½ãƒ¼ãƒ«ã«ãã®å称を表示ã™ã‚‹ã€‚上ã®ä¾‹ã§ã¯ï¼Œ\\ -    \verb|generate Listplot sgABC|\\ -ã¨è¡¨ç¤ºã•ã‚Œã‚‹ã€‚プロットデータをæ“作ã™ã‚‹é–¢æ•°ã§ã¯ï¼Œã“ã®PDã®å称を用ã„る。\\ - プロットデータã®å†…容を知りãŸã„å ´åˆã¯ï¼ŒCindyscriptã®\\ -    println(プロットデータå)\\ -ã§ã‚³ãƒ³ã‚½ãƒ¼ãƒ«ã«è¡¨ç¤ºã™ã‚‹ã“ã¨ãŒã§ãる。\\ - プロットデータã¯ï¼ŒCindyscriptã«ã‚ˆã‚‹ãƒ—ログラムã§ä½œæˆã—ã¦ãれをKeTCindyã§åˆ©ç”¨ã™ã‚‹ã“ã¨ã‚‚ã§ãる。Listplot()ã®ä¾‹ã‚’å‚ç…§ã®ã“ã¨ã€‚ãŸã ã—,è¦ç´ ã®æ•°ãŒå¤§ãã„ã¨Scilabã§ã‚¨ãƒ©ãƒ¼ã¨ãªã‚‹ã®ã§ï¼Œï¼‘ã¤ã®ãƒ—ロットデータã®è¦ç´ ã¯200程度ã¨ã™ã‚‹ã®ãŒã‚ˆã„。ã“れより多ã„å ´åˆã¯åˆ†å‰²ã™ã‚‹ã€‚\\ - -\subsection{Cinderellaã®ä½œå›³ãƒ„ール} -  \\ -\includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/move.png}  動ã‹ã™ãƒ¢ãƒ¼ãƒ‰ï¼ˆé¸æŠžãƒ¢ãƒ¼ãƒ‰ï¼‰ã«ã™ã‚‹ï¼šæ¨™æº–状態\\ -\includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/single-add.png}  点を加ãˆã‚‹\\ -\includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/multi-add-line.png}  直線を加ãˆã‚‹\\ -\includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/segment.png}  線分を加ãˆã‚‹\\ -\includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/middle.png}  中点を加ãˆã‚‹\\ -\includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/intersection.png}  交点を加ãˆã‚‹\\ -\includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/multi-add-parallel.png}  平行線を加ãˆã‚‹\\ -\includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/multi-add-perp.png}  垂線を加ãˆã‚‹\\ -\includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/bisector.png}  角ã®äºŒç­‰åˆ†ç·šã‚’加ãˆã‚‹\\ -\includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/multi-add-circle.png}  円を加ãˆã‚‹\\ -\includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/circle-by-radius.png}  åŠå¾„ã¤ã円を加ãˆã‚‹\\ -\includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/ellipse-by-foci.png}  焦点ã¨é€šã‚‹ç‚¹ã§æ±ºã¾ã‚‹æ¥•å††\\ -\includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/hyperbola-by-foci.png}  焦点ã¨é€šã‚‹ç‚¹ã§æ±ºã¾ã‚‹åŒæ›²ç·š\\ -\includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/parabola-by-foci.png}  焦点ã¨æº–ç·šã§æ±ºã¾ã‚‹æ”¾ç‰©ç·š\\ -\includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/polygon.png}  多角形を加ãˆã‚‹\\ -\includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/angle-mark.png}  角ã«å°ã‚’ã¤ã‘ã‚‹\\ -\includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/angle.png}  角度を測る\\ -\includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/delete.png}  é¸æŠžã—ãŸè¦ç´ ã‚’消去ã™ã‚‹\\ -\includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/select-points.png}  点をã¾ã¨ã‚ã¦é¸æŠžã™ã‚‹\\ -\includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/select-lines.png}  線分をã¾ã¨ã‚ã¦é¸æŠžã™ã‚‹\\ - \\ -設定メニューã‹ã‚‰ã€Œä¸Šã®ãƒ„ールãƒãƒ¼ã®ã‚«ã‚¹ã‚¿ãƒžã‚¤ã‚ºã€ã‚’é¸ã³ï¼Œã€Œã™ã¹ã¦è¡¨ç¤ºã€ã«ã™ã‚‹ã¨ç¾ã‚Œã‚‹ãƒ„ール\\ -\includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/mirror.png}  é¡æ˜ \\ -\includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/polar-of-point.png}  点ã®æ¥µç·šã‚’æã\\ - \\ -ç”»é¢ãƒ„ール(下ã®ãƒ„ールãƒãƒ¼ï¼‰\\ -\includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/translate-view.png}  原点を移動ã™ã‚‹\\ -\includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/zoom-in.png}  矩形領域を画é¢ã‚µã‚¤ã‚ºã«æ‹¡å¤§\\ -\includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/zoom-out.png}  画é¢ã‚’矩形領域サイズã«ç¸®å°\\ -\includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/snap.png}  軸ã¨æ–¹çœ¼ã‚’表示ã—æ ¼å­ç‚¹ã«ã‚¹ãƒŠãƒƒãƒ—ã™ã‚‹\\ - -\subsection{用語解説} -インシデント\\ - 点ãŒæ›²ç·šä¸Šã«ä¹—ã£ã¦ã„る状態を表ã™ã€‚\\ -インスペクタ\\ - 幾何è¦ç´ ã®å±žæ€§ãªã©ã‚’管ç†ã™ã‚‹ã‚¦ã‚£ãƒ³ãƒ‰ã‚¦ã€‚\\ -幾何è¦ç´ ã€€ã€€\\ - Cinderellaã®ä½œå›³ãƒ„ールã§ä½œå›³ã—ãŸç‚¹ã‚„ç›´ç·šãªã©ã®è¦ç´ \\ -幾何点 \\ - 幾何è¦ç´ ã¨ã—ã¦ã®ç‚¹ã€‚マウスドラッグã§å‹•ã‹ã™ã“ã¨ãŒã§ãる。\\ -固定点\\ - マウスドラッグã§ç§»å‹•ã™ã‚‹ã“ã¨ã®ã§ããªã„点\\ -コンソール\\ - スクリプトエディタã®å³ä¸‹ã®ã‚¨ãƒªã‚¢ã€‚\\ -自由点\\ - マウスドラッグã§ä»»æ„ã«å‹•ã‹ã™ã“ã¨ã®ã§ãる点。\\ -スロット  \\ - Cindyscriptã§ï¼Œã‚¹ã‚¯ãƒªãƒ—トを書ãã¨ã,実行タイミングã«ã‚ˆã‚Šã«åˆ†é¡žã™ã‚‹ã‚‚ã®\\ -スナップ \\ - マウスãƒã‚¤ãƒ³ãƒˆãŒæ ¼å­ç‚¹ã®è¿‘ãã«æ¥ã‚‹ã¨æ ¼å­ç‚¹ä¸Šã«ã´ã£ãŸã‚Šç§»å‹•ã™ã‚‹ã€‚\\ - Cinderellaã®ç”»é¢ã®ä¸‹æ–¹ãƒ„ールã®ã†ã¡ï¼Œç£çŸ³ã‚¢ã‚¤ã‚³ãƒ³ã«ã‚ˆã‚Šã“ã®ãƒ¢ãƒ¼ãƒ‰ã«ãªã‚‹ã€‚\\ - -\newpage -%======================= -\section{定数ã¨å¤‰æ•°} -KeTCindy 㯠Cindyscript ã§è¨˜è¿°ã•ã‚Œã¦ã„る。CindyScriptã§ã¯ï¼Œå¤‰æ•°åã¯å¤§æ–‡å­—ã¨å°æ–‡å­—を区別ã™ã‚‹ãŒï¼Œé–¢æ•°åã¯å¤§æ–‡å­—å°æ–‡å­—を区別ã—ãªã„。Cindyscriptã®ãƒžãƒ‹ãƒ¥ã‚¢ãƒ«ã§ã¯çµ„ã¿è¾¼ã¿é–¢æ•°åã¯ã™ã¹ã¦å°æ–‡å­—ã§è¡¨è¨˜ã•ã‚Œã¦ã„る。例示ã•ã‚ŒãŸã‚¹ã‚¯ãƒªãƒ—トã§ã¯ï¼Œå¤‰æ•°ã‚‚å°æ–‡å­—ã§ã‚る。ãã“ã§ï¼ŒKeTCindyã§ã¯ï¼Œçµ„ã¿è¾¼ã¿ã®å¤‰æ•°å・関数åã¨åŒºåˆ¥ã—ã‚„ã™ã„よã†ã«ï¼Œæ¬¡ã®è¦å‰‡ã«ã‚ˆã‚Šåå‰ã‚’付ã‘ã¦ã„る。\\ - \\ - ・グローãƒãƒ«ãªå¤‰æ•°ã¯ã™ã¹ã¦å¤§æ–‡å­—ã‹ï¼Œå¤§æ–‡å­—ã§å§‹ã¾ã‚‹ã‚‚ã®ã¨ã™ã‚‹ã€‚\\ - ・局所変数ã¯å°æ–‡å­—ã§ï¼Œé–¢æ•°å®šç¾©ã®å†’頭㧠regional() ã«ã‚ˆã‚Šå±€æ‰€å¤‰æ•°ã¨ã—ã¦å®£è¨€ã™ã‚‹ã€‚\\ - ・関数åã¯å¤§æ–‡å­—ã§å§‹ã¾ã‚‹ã€‚\\ - \\ - ãªãŠï¼ŒCindyScriptã¯é–¢æ•°åž‹ãƒ—ログラミング言語ã§ã‚り,命令ã¯ã™ã¹ã¦é–¢æ•°ã‚’用ã„ã¦è¡Œã‚れるãŒï¼Œæœ¬ãƒžãƒ‹ãƒ¥ã‚¢ãƒ«ã§ã¯ï¼Œæ–‡è„ˆã«ã‚ˆã‚Šã€Œã‚³ãƒžãƒ³ãƒ‰ã€ã¨ã„ã†è¡¨ç¾ã‚‚用ã„る。\\ - \\ -{\bf 定数} \\ - ã¤ãŽã®ã‚‚ã®ãŒCindyScriptã«äºˆç´„ã•ã‚Œã¦ãŠã‚Šï¼Œå°æ–‡å­—ã§è¡¨ã•ã‚Œã¦ã„る。\\ - -\begin{tabbing} -12345678\=\kill -  pi  \>:円周率。Scilabã«ã¯ \% pi ã§æ›¸ã出ã•ã‚Œã‚‹ã€‚\\ -  i  \> :虚数å˜ä½ã€‚Scilabã«ã¯ \% i ã§æ›¸ã出ã•ã‚Œã‚‹ã€‚\\ -\end{tabbing} - 一般ã®ãƒ—ログラミングã§ã¯å¤‰æ•° i をループ変数ã¨ã—ã¦ã‚ˆã使ã†ãŒï¼ŒCindyScript ã§ã¯ i ã¯äºˆç´„定数ã¨è€ƒãˆï¼Œå¤‰æ•°ã¨ã—ã¦ç”¨ã„ãªã„ã“ã¨ã‚’勧ã‚る。ãŸã ã—,変数ã¨ã—ã¦ã¾ã£ãŸã使ãˆãªã„ã‚ã‘ã§ã¯ãªã,変数ã¨ã—ã¦ç”¨ã„ãŸå¾Œï¼Œå¿…è¦ãŒã‚ã‚Œã°ã€€\verb|i=complex([0,1])|  を実行ã™ã‚‹ã“ã¨ã«ã‚ˆã‚Šè™šæ•°å˜ä½ã¨ã—ã¦å†å®šç¾©ã™ã‚‹ã“ã¨ãŒã§ãる。\\ - \\ -{\bf 予約変数}\\ - KeTCindy ãŒå†…部的ã«ä½¿ç”¨ã™ã‚‹äºˆç´„変数ãŒã‚る。ãã®ã†ã¡æ¬¡ã®ã‚‚ã®ã¯ãƒ¦ãƒ¼ã‚¶ãƒ¼ãŒå€¤ã‚’変更ã¾ãŸã¯è¨­å®šã™ã‚‹ã“ã¨ãŒã§ãる。設定㯠Initalization スロットã®ã€ŒKETlibã€ãƒšãƒ¼ã‚¸ã§ãŠã“ãªã†ãŒï¼ŒFhead ã¨Texparent 㯠Draw スロットã§ã‚‚よã„。\\ -\begin{tabbing} -1234567890123\=45678989012345678901234567890123\=\kill - Fhead \>書ã出ã•ã‚Œã‚‹ãƒ•ã‚¡ã‚¤ãƒ«åã®é ­éƒ¨\\ - Texparent \>親プロセスã®ãƒ•ã‚¡ã‚¤ãƒ«å\\ - Dirhead \>パスã®é ­éƒ¨\\ - Dirlib \>ライブラリ ketlib ã®ãƒ‘ス\\ - Dirbin \>ketbin ã®ãƒ‘ス\\ - Dirwork \>作業ディレクトリã®ãƒ‘ス\\ - Shellfile \>シェルファイルå\\ -\end{tabbing} - 以下ã®äºˆç´„変数ã¯ï¼Œãƒ©ã‚¤ãƒ–ラリãŒä½¿ç”¨ã™ã‚‹ã‚°ãƒ­ãƒ¼ãƒãƒ«å¤‰æ•°ã§ã‚ã‚‹ã®ã§ï¼Œãƒ¦ãƒ¼ã‚¶ãƒ¼ã¯ã“れらã®å¤‰æ•°åを使ã£ã¦ã¯ã„ã‘ãªã„。ãªãŠï¼Œå¤‰æ•°ã¯å¤§æ–‡å­—å°æ–‡å­—を区別ã™ã‚‹ã®ã§ï¼Œå°æ–‡å­—ã§æ›¸ã分ã«ã¯æ”¯éšœã¯ãªã„。ã—ãŸãŒã£ã¦ï¼Œãƒ¦ãƒ¼ã‚¶ãƒ¼ãŒä½œã‚‹ãƒ—ログラムã§ã¯ï¼Œã™ã¹ã¦å°æ–‡å­—ã‹ï¼Œå…ˆé ­ã ã‘ãŒå¤§æ–‡å­—ã®å¤‰æ•°ã‚’使ã†ã“ã¨ã‚’勧ã‚る。\\ - \\ -ADDAXES, ArrowlineNumber, ArrowheadNumber, BezierNumber,\\ -COM0thlist, COM1stlist, COM2ndlist, Dq, FUNLIST,\\ -Fnamesc ,Fnamescibody,Fnameout,Fnametex,GDATALIST,\\ -GLIST, GCLIST, GOUTLIST, KCOLOR, KETPICCOUNT, \\ -KETPICLAYER, LETTERlist, LFmark, MilliIn, PenThick, \\ -PenThickInit, POUTLIST, SCALEX, SCALEY, SCIRELIST, \\ -SCIWRLIST, TenSize, TenSizeInit, ULEN, XMAX, XMIN, YaSize,\\ -YaThick, YMAX, YMIN, VLIST - -\newpage - -%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(0ã¾ãŸã¯1) -\item[機能] 座標軸を書ãã‹ã©ã†ã‹ã‚’定ã‚ã‚‹ -\item[説明] Scilabã®Closefile() ã®å¼•æ•°ã«å¯¾å¿œã™ã‚‹ã€‚\\ - 引数ãŒ0ã®ã¨ã座標軸を書ã‹ãªã„(デフォルトã¯1) -\begin{verbatim} - Listplot([B,A,C]); - Letter([A,"ne","A",B,"se","B",C,"se","C"]); -\end{verbatim} - \\ - \input{Fig/addax1} -\begin{verbatim} - Listplot([B,A,C,B]); - Letter([A,"ne","A",B,"sw","B",C,"se","C"]); - Addax(0); -\end{verbatim} - \input{Fig/addax2}\\ -\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} - \\ -\hypertarget{addcolor}{} -\item[関数] Addcolor(æ画コマンド , カラーコード) -\item[機能] æ画コマンドã§æã‹ã‚Œã‚‹ç·šã‚’指定色ã§æã -\item[説明] æ画コマンドã¯ãƒ€ãƒ–ルクウォートã§ããã£ã¦æ–‡å­—列ã¨ã™ã‚‹ã€‚æ画コマンド内ã«ãƒ€ãƒ–ルクウォートãŒã‚ã‚‹å ´åˆã¯ï¼Œã‚·ãƒ³ã‚°ãƒ«ã‚¯ã‚¦ã‚©ãƒ¼ãƒˆã«ã™ã‚‹ã€‚optionã®ã‚ã‚‹æ画コマンドã§optionを指定ã—ãªã„å ´åˆã¯ï¼Œå¿…ãšç©ºãƒªã‚¹ãƒˆã‚’optionã¨ã—ã¦æ›¸ã。æ画色ã¯ï¼ŒRGBã¾ãŸã¯CMYK。æ画色ã¯ç”»é¢ã¨å›³ç‰ˆã®ä¸¡æ–¹ã«æœ‰åŠ¹ã€‚\\ - \\ - 例:\verb|Addcolor("Plotdata('2','x^2','x',[])",[1,1,0]);|\\ - \\ - \\ -\hypertarget{colorcode}{} -\item[関数] Colorcode(文字1,文字2, カラーコード) -\item[機能] 文字1ã‹ã‚‰æ–‡å­—ï¼’ã¸ã‚«ãƒ©ãƒ¼ã‚³ãƒ¼ãƒ‰ã‚’変æ›ã™ã‚‹ã€‚戻り値ã¯å¤‰æ›ã•ã‚ŒãŸã‚³ãƒ¼ãƒ‰ã€‚ -\item[説明] 文字ã¯ï¼Œ"rgb","cmyk","hsv"ã®ã„ãšã‚Œã‹ã€‚\\ - \\ -例:\verb|Colorcode("rgb","cmyk",[1,0,0]); |\\ -     RGBコードã®[1,0,0]ã‚’CMYKã«å¤‰æ›ã—ãŸã‚³ãƒ¼ãƒ‰ã‚’è¿”ã™\\ -  \verb|Colorcode("cmyk","rgb",[0,1,1,0]);|\\ -    CMYKコードã®[0,1,1,0]ã‚’RGBã«å¤‰æ›ã—ãŸã‚³ãƒ¼ãƒ‰ã‚’è¿”ã™\\ -  \verb|Colorcode("rgb","hsv",[1,0,0]);|\\ -    RGBコードã®[1,0,0]ã‚’HSVã«å¤‰æ›ã—ãŸã‚³ãƒ¼ãƒ‰ã‚’è¿”ã™\\ - \\ - \\ -\hypertarget{deffun}{} -\item[関数] Deffun(関数å , 定義ã®ãƒªã‚¹ãƒˆ) -\item[機能] 関数を定義ã™ã‚‹ -\item[説明] 関数定義ã¯ï¼ŒCindyScript ã®é–¢æ•°å®šç¾© f(x):=å¼ ã§ã‚‚ã§ãã‚‹ãŒï¼ŒDeffun()を使ã†ã“ã¨ã«ã‚ˆã‚Šï¼ŒScilab å´ã«æ¸¡ã™ãƒ•ã‚¡ã‚¤ãƒ«ã«\\ - function 定義å¼ã€€endfunction;\\ - ãŒè¨˜è¿°ã•ã‚Œã‚‹ã®ã§ï¼ŒScilabå´ã§ã“ã®é–¢æ•°ã‚’利用ã™ã‚‹ã“ã¨ãŒã§ãる。目的ã«å¿œã˜ã¦ä½¿ã„分ã‘ã‚‹ã¨ã‚ˆã„。\\ - å¼ã®ãƒªã‚¹ãƒˆã«ã¯ if文を用ã„ãŸå ´åˆåˆ†ã‘ã®é–¢æ•°å¼ã‚’記述ã™ã‚‹ã“ã¨ã‚‚ã§ãる。\\ - \\ -例:$f(x)=\dfrac{1}{x^2+1}$ を定義ã—,グラフをæã„ã¦x=1 ã«ãŠã‘る微分係数を求ã‚る。 -\begin{verbatim} -   Deffun("f(x)",["regional(y)","y=1/(x\verb|^|2+1)","y"]); -   Plotdata("1","f(x)","x"); -   coeff=Derivative("f(x)","x",1); -\end{verbatim} -  点Aを作図ã—ã¦ãŠãã¨ï¼Œç‚¹Aをドラッグã—ãŸã¨ã常ã«æ›²ç·šä¸Šã«ä¹—ã›ï¼Œãã®ç‚¹ã§ã®\\ -  接線を引ãã“ã¨ãŒã§ãる。 -\begin{verbatim} -   A.xy=[A.x,f(A.x)]; -   coeff=Derivative("f(x)","x",A.x); -   Lineplot("1",[A,[A.x+1,A.y+coeff]]); -\end{verbatim} -     \input{Fig/deffun}\\ - - 例:$f(x)=\left\{\begin{array}{l}1  (x\geqq 0)\\ -1  (x<0)\\ \end{array}\right.$   を定義ã™ã‚‹ã€‚ -\begin{verbatim} -  Deffun("f(x)",["regional(y)","if(x>=0,y=1,y=-1)","y"]); -\end{verbatim} - if æ–‡ã¯ãƒã‚¹ãƒˆã™ã‚‹ã“ã¨ãŒã§ãる。 -\begin{verbatim} -  Deffun("f(x)",["regional y","if(x>1,y=1, -        if(x>-1,y=x,y=-1))","y"]); -\end{verbatim} - \\ - - -\hypertarget{defvar}{} -\item[関数] Defvar(文字列) -\item[機能] 変数を定義ã™ã‚‹ -\item[説明] 変数ã®å®šç¾©ã‚’Scilabã¨å…±æœ‰ã™ã‚‹ã€‚ã¾ãŸï¼ŒScilabã®Assignリストã«è¿½åŠ ã™ã‚‹ã€‚\\ - \\ -   例:\verb|Defvar("const=3");| - \\ -\hypertarget{drwxy}{} -\item[関数] Drwxy() -\item[機能] 座標軸をæã -\item[説明] 座標軸ã¯ãƒ‡ãƒ•ã‚©ãƒ«ãƒˆã§ã¯æœ€å¾Œã«æã‹ã‚Œã‚‹ãŒï¼Œåº§æ¨™è»¸ä¸Šã«ç™½æŠœãã®ç‚¹ã‚’表示ã™ã‚‹ãªã©ï¼Œå…ˆã«æãã“ã¨ãŒå¿…è¦ãªå ´åˆã«ç”¨ã„る。\\ - -例:点$(-\pi,\ 0)$ã¨$(\pi,\ 0)$を白抜ãã®ç‚¹ã§è¡¨ç¤ºã™ã‚‹ã€‚ -\begin{verbatim} -  Setax([7,"se"]); -  Setpt(8); -  Drwpt([-pi,0],0); -  Drwxy(); -  Plotdata("1","sin(x)","x",["dr","Num=300"]); -  Drwpt([[pi,0],0]); -\end{verbatim} - - ã“ã®ã‚¹ã‚¯ãƒªãƒ—トã§ã¯ï¼ŒDrwpt([-pi,0],0); を実行ã—ãŸã®ã¡åº§æ¨™è»¸ã‚’æã,次ã«ï¼Œ$y=\sin x$ ã®ã‚°ãƒ©ãƒ•ã‚’æã„ã¦ã‹ã‚‰ Drwpt([pi,0],0);を実行ã™ã‚‹ã®ã§ï¼Œç‚¹($-\pi$,0) ã®ä¸Šã‚’座標軸ãŒé€šã‚Šï¼Œç‚¹($\pi$,0)ã¯åº§æ¨™è»¸ã¨ã‚°ãƒ©ãƒ•ã®ä¸Šã‚’通るã®ã§ç™½æŠœãã«ãªã‚‹ã€‚\\ - -\input{Fig/drwxy} - \\ - \\ -\hypertarget{fontsize}{} -\item[関数] Fontsize(記å·) -\item[機能] フォントサイズを設定ã™ã‚‹ -\item[説明] 次㫠Fontsize() を実行ã™ã‚‹ã¾ã§æœ‰åŠ¹\\ - 記å·ã¯ï¼Œ"t" , "ss" , "f", "s" , "n" , "la", "La", "LA", "h" , "H"\\ - -例:å°ã•ã„æ–¹ã‹ã‚‰ã„ãã¤ã‹è¡¨ç¤ºã™ã‚‹ã€‚ -\begin{verbatim} -  Ptsize(2); -  Drawpoint([A,B,C,D,E,F,G]); -  Fontsize("t"); Letter([A,"s2","A"]); -  Fontsize("ss"); Letter([B,"s2","B"]); -  Fontsize("s"); Letter([C,"s2","C"]); -  Fontsize("la"); Letter([D,"s2","D"]); -  Fontsize("La"); Letter([E,"s2","E"]); -  Fontsize("h"); Letter([F,"s2","F"]); -  Fontsize("H"); Letter([G,"s2","G"]); -\end{verbatim} -  \input{Fig/fontsize} - -\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} -\newpage -\hypertarget{ketinit}{} -\item[関数] Ketinit(options) -\item[機能] \ketcindy ã‚’åˆæœŸåŒ–ã™ã‚‹ -\item[説明] opution 縦方å‘ã®å€çŽ‡ã¨æ画領域を設定\\ - - 例:\verb|Ketinit()| :å€çŽ‡ï¼‘,æ画領域 $-5 \leqq x \leqq 5 , -5 \leqq y \leqq 5$(デフォルト)\\ -   \verb|Ketinit(2)| : å€çŽ‡ï¼’,æ画領域 $-5 \leqq x \leqq 5 , -5 \leqq y \leqq 5$\\ -   \verb|Ketinit(2,[-2,3],[-2,4])| : å€çŽ‡ï¼’,æ画領域 $-2 \leqq x \leqq 3 , -2 \leqq y \leqq 4$\\ - - æ画領域(TeXã«å‡ºåŠ›ã™ã‚‹é ˜åŸŸ)ã¯åˆ¶å¾¡ç‚¹SW(左下)ã¨NE(å³ä¸Šï¼‰ã‚’対角ã¨ã™ã‚‹çŸ©å½¢é ˜åŸŸã€‚æ画領域を指定ã™ã‚‹ã¨ï¼Œåˆ¶å¾¡ç‚¹ãŒãªã‘ã‚Œã°ãã®ä½ç½®ã«ä½œã‚Šï¼Œã™ã§ã«å­˜åœ¨ã™ã‚‹å ´åˆã¯ä½•ã‚‚ã—ãªã„。作æˆã•ã‚ŒãŸåˆ¶å¾¡ç‚¹ã¯ãƒ‰ãƒ©ãƒƒã‚°ã—ã¦æ画領域を変更ã™ã‚‹ã“ã¨ãŒã§ãる。\\ - å€çŽ‡ã¯ï¼ŒSetscaling(å€çŽ‡)を実行ã™ã‚‹ã®ã¨åŒã˜ã€‚ãŸã ã—,Cinderellaã§ä½œå›³ã—ãŸå¹¾ä½•è¦ç´ ã«å¯¾ã—ã¦ã¯ç„¡åŠ¹ã€‚(Setscaling()ã®é …å‚ç…§)\\ - -\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} - -\hypertarget{ptsie}{} -\item[関数] Ptsize(n) , Setpt(n) -\item[機能] 表示ã™ã‚‹ç‚¹ã®å¤§ãã•ã‚’設定ã™ã‚‹ã€‚ -\item[説明] Ptsize() 㨠Setpt() ã¯åŒã˜ã§ã‚る。デフォルトã¯ï¼‘\\ - Ptsize()ã¯CindyScript風ã®èªžæ³•ï¼ŒSetpt() 㯠\ketpic 風ã®èªžæ³•\\ - 全体ã®ç‚¹ã®å¤§ãã•ã‚’設定ã™ã‚‹ã€‚点ã®å¤§ãã•ã‚’個々ã«å¤‰ãˆãŸã„å ´åˆã¯ï¼Œsizeオプションを用ã„る。\\ - -例:1ã‹ã‚‰ï¼”ã¾ã§ã®ç‚¹ã®å¤§ãã•\\ - ã‚らã‹ã˜ã‚,Cinderellaã®ä½œå›³ãƒ„ールã§ç‚¹A,B,C,Dを作図ã—ã¦ãŠã。 -\begin{verbatim} -  Pointdata("1",A,["size=1"]); -  Pointdata("2",B,["size=2"]); -  Pointdata("3",C,["size=3"]); -  Pointdata("4",D,["size=4"]); -\end{verbatim} - -\input{Fig/pointsize}\\ - -\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} -\newpage -\hypertarget{setax}{} -\item[関数] Setax() -\item[機能] 座標軸ã®æ›¸å¼ã‚’設定ã™ã‚‹ã€‚ -\item[説明] Scilabã®ã¿ã§å®Ÿè¡Œã™ã‚‹ã€‚Cinderellaã®æç”»é¢ã«å映ã•ã‚Œãªã„。\\ -引数ã¯é †ç•ªã«\\ - 1. 軸ã®å½¢çŠ¶ï¼ˆç›´ç·šã¯ "l" ,矢å°ã¯ "a")デフォルトã¯ç›´ç·š\\ - 2. 横軸å デフォルト㯠$x$ \\ - 3. 横軸åã®ä½ç½®\\ - 4. 縦軸å デフォルトã¯$y$\\ - 5. 縦軸åã®ä½ç½®\\ - 6. 原点å デフォルトã¯O\\ - 7. 原点åã®ä½ç½®\\ -ãã‚Œãžã‚Œãƒ€ãƒ–ルクウォートã§ããる。\\ -ï¼—ã¤ã®å¼•æ•°ã®ã†ã¡n番目ã ã‘を指定ã™ã‚‹å ´åˆã¯ï¼Œ[n,"内容"]ã§æŒ‡å®šã§ãる。\\ -ã¾ãŸï¼Œå¾Œæ–¹ã¯ãƒ‡ãƒ•ã‚©ãƒ«ãƒˆãªã‚‰çœç•¥ã§ãる。\\ - -  例:座標軸ã®å…ˆç«¯ã‚’矢å°ã«ã—,原点ã®åŒ—西ã«Oを書ã。\\ -    \verb|Setax(["a","","","","","","nw"]);|\\ - -  例:原点ã®åŒ—西ã«Oを書ã。\\ -    \verb|Setax([7,"nw"]);|\\ - -  例:先端を矢å°ã«ã—,横軸をθ,縦軸を$x$ã«ã—ã¦çŸ¢ã˜ã‚Šã®å·¦å´ã«æ›¸ã。\\ -    \verb|Setax(["a","θ","","x","w"]);|\\ - \\ -     \input{Fig/setax(theta)} - \\ - -\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} -\newpage -\hypertarget{definecolor}{} -\item[関数] Definecolor(色å , 定義ã®ãƒªã‚¹ãƒˆ) -\item[機能] 色åを定義ã™ã‚‹ -\item[説明] ユーザー命åã®è‰²åを定義ã™ã‚‹ã€‚定義リスト㯠RGBã¾ãŸã¯CMYKã®ãƒªã‚¹ãƒˆ\\ - å„色ï¼ã€œï¼‘ã®ç¯„囲ã§æŒ‡å®šã™ã‚‹ã€‚定義ã—ãŸè‰²åã¯ï¼ŒSetcolor(color,options) ã§ä½¿ã†ã“ã¨ãŒã§ãる。ãªãŠï¼ŒKeTCindyã§ã¯ï¼Œ68色を色åã§ä½¿ã†ã“ã¨ãŒã§ãる。次㮠Setcolor(color,options) å‚照)\\ - \\ - 例:暗ã„紫色を darkmaz ã®å称ã§å®šç¾©ã—ã¦ä½¿ã†ã€‚ -\begin{verbatim} -   Definecolor("darkmaz",[0.8,0,0.8]); -   Setcolor("darkmaz"); -\end{verbatim} -\hypertarget{setcolor}{} - \\ - \\ -\item[関数] Setcolor(color,options) -\item[機能] æ画色ã®è¨­å®š -\item[説明] 引数colorã¯ã‚«ãƒ©ãƒ¼ã‚³ãƒ¼ãƒ‰ã¾ãŸã¯è‰²ã®å称。\\ - カラーコードã¯RGBã¾ãŸã¯CMYKをリストã§ä¸Žãˆã‚‹ã€‚å„色ï¼ã€œï¼‘。\\ - 色ã®å称ã¯æ¬¡é ã®68色ãŒæŒ‡å®šã§ãる。ãŸã ã—,Cinderellaã®ç”»é¢ã«ã¯è‰²ã¯å映ã•ã‚Œãªã„。\\ - colorã«è‰²ã®å称を用ã„ãŸå ´åˆã¯ï¼Œoption ã¨ã—ã¦ï¼Œé€æ˜Žåº¦ã‚’ï¼ã€œï¼‘ã®æ•°ã§æŒ‡å®šã§ãる。1ãŒæœ€ã‚‚濃ã,ï¼ã¯çµæžœã¨ã—ã¦è‰²å¡—ã‚Šã‚’ã—ãªã„。\\ - \\ -例 Cinderellaã®æ画ツールã¨CindyScriptã§ç·šåˆ†AB,ACã‚’60°ã®è§’ã‚’ãªã™ã‚ˆã†ã«æã„ã¦ãŠã,点Dã¨Eを弧ã®ä¸¡ç«¯ã«ãªã‚‹ã‚ˆã†ã«è¨­å®šã—㦠-\begin{verbatim} -   Setcolor([1,0,0]); -   Circledata([A,D],["Rng=[0,pi/3]"]); -   Arrowhead(E,[-1,0.8],[2,1]); -\end{verbatim} - を実行ã™ã‚‹ã¨ï¼ŒçŸ¢ã˜ã‚Šã¤ãã®å¼§ã‚’赤ã§è¡¨ç¤ºã™ã‚‹ã“ã¨ãŒã§ãる。\\ - 1行目ã¯ï¼Œ\verb|Setcolor("red");| ã§ã‚‚よã„。\\ - ãŸã ã—,Cinderellaã®æç”»é¢ã§ã¯ç€è‰²ã•ã‚Œãªã„。\\ - æç”»é¢ã§ã‚‚ç€è‰²ã—ãŸã„å ´åˆã¯ï¼Œã‚ªãƒ—ション \verb|"color->[R,G,B]"| を用ã„る。\\ - 上ã®ä¾‹ã®å ´åˆï¼Œ -\begin{verbatim} -  Circledata([A,D],["Rng=[0,pi/3]","color->[1,0,0]"]); -  Arrowhead(E,[-1,0.8],[2,1,"color->[1,0,0]"]); -\end{verbatim} - ã¨ã™ã‚Œã°ï¼Œæç”»é¢ã§ã‚‚赤ã§è¡¨ç¤ºã•ã‚Œã‚‹ã€‚\\ - -      \includegraphics[width=3.5cm,bb=0 0 161 134]{Fig/setcolor.pdf} - \\ - \\ -\scalebox{0.9}{\input{Fig/colortable1-34}} - -\newpage - \\ - \\ - \\ -\scalebox{0.9}{\input{Fig/colortable35-68}} - \\ - \\ -\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} -\newpage -\hypertarget{setmarklen}{} -\item[関数] Setmarklen(æ•°)  -\item[機能] 座標軸ã®ç›®ç››ã®é•·ã•ã‚’設定ã™ã‚‹ -\item[説明] Htickmark() , Vtickmark() ã§åº§æ¨™è»¸ã«ç›®ç››ã‚’入れるã¨ã,ãã®é•·ã•ã‚’設定ã™ã‚‹ã€‚ \\ -    ⇒ \hyperlink{htickmark}{Htickmark([横座標 , æ–¹å‘ , 文字])}\\ - -\hypertarget{setorigin}{} -\item[関数] Setorigin(座標)    -\item[機能] æç”»ã™ã‚‹åº§æ¨™è»¸ã®åŽŸç‚¹ã‚’設定(移動)ã™ã‚‹ -\item[説明] æç”»ã™ã‚‹åº§æ¨™è»¸ã®åŽŸç‚¹ã‚’引数ã®åº§æ¨™ã¨ã™ã‚‹ã€‚座標ã¯ç‚¹ã®è­˜åˆ¥åã§ã‚‚よã„。\\ - - 例:原点を (3,2) ã¨ã—ã¦åº§æ¨™è»¸ã‚’æã。\\ -    \verb|Setorigin([3,2]);|\\ -   原点を点Aã®ä½ç½®ã«ã—ã¦åº§æ¨™è»¸ã‚’æã。\\ -    \verb|Setorigin(A);| \\ - - 注æ„:座標軸ã¨ã¨ã‚‚ã«ï¼ŒåŽŸç‚¹ã®O,軸åãªã©ã‚‚移動ã™ã‚‹ãŒï¼Œåº§æ¨™ç³»ãŒå¤‰æ›´ã•ã‚Œã‚‹\\ -    ã‚ã‘ã§ã¯ãªã„。\\ - - 例:原点ã¯(3,2)ã«ç§»å‹•ã™ã‚‹ãŒï¼Œã‚¹ã‚¯ãƒªãƒ—トã§ã¯ã‚‚ã¨ã®åº§æ¨™ç³»ã‚’使ã†ã€‚ -\begin{verbatim} -   Setorigin([3,2]); -   Listplot([A,B,C,A]); -   Ptsize(3); -   Drawpoint([1,1]); -   Letter([[1,1],"s2","P"]); -\end{verbatim} - 左ãŒå®Ÿè¡Œæ™‚ã®Cinderellaã®ç”»é¢ï¼Œå³ãŒ\TeX ã®çµæžœã€‚\\ - -   \includegraphics[bb=0 0 227 205 , width=4cm]{Fig/setorigin.png}  \input{Fig/setorigin}\\ - \\ -\hypertarget{setpen}{} -\item[関数] Setpen(数)    -\item[機能] 線ã®å¤ªã•ã‚’設定ã™ã‚‹\\ - \\[-5mm] -\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} - \\ -\hypertarget{setpt}{} -\item[関数] Setpt(æ•°)     -\item[機能] 表示ã™ã‚‹ç‚¹ã®å¤§ãã•ã‚’設定ã™ã‚‹\\ - -\hypertarget{setscaling}{} -\item[関数] Setscaling(å€çŽ‡) -\item[機能] 縦方å‘ã®å€çŽ‡ã‚’設定ã™ã‚‹ -\item[説明] 2次関数ã®å¿œç”¨å•é¡Œãªã©ã§ã¯ï¼Œã‚°ãƒ©ãƒ•ãŒç¸¦ã«å¤§ãããªã‚‹å ´åˆãŒã‚り,$y$軸方å‘ã®ã‚¹ã‚±ãƒ¼ãƒªãƒ³ã‚°ã‚’変ãˆã‚‹ã“ã¨ãŒã‚ˆãã‚る。次ã®ã‚¹ã‚¯ãƒªãƒ—トã¯ï¼Œ$f(x)=-x^2+10x$ ã®ã‚°ãƒ©ãƒ•ã‚’縦軸方å‘ã‚’åŠåˆ†ã«ã—ã¦æãã‚‚ã®ã§ã‚る。\\ -\begin{layer}{150}{0} -\putnotese{80}{0}{\input{Fig/setscaling}} -\end{layer} - \\ -\begin{verbatim} - Setscaling(0.5); - A.xy=[0,25/4]; - B.xy=[5/2,25/4]; - C.xy=[5/2,0]; - Listplot([A,B],["do"]); - Listplot([C,B],["do"]); - Plotdata("1","-2*x^2+10*x","x"); - Letter([[5,0],"s2w","5",[0,25/2],"w2", -    "$\frac{25}{2}$",C,"s4","$\frac{5}{2}$"]); -\end{verbatim} -%          \input{Fig/setscaling}\\ - ã“ã“ã§ï¼Œç‚¹A,Bã®åº§æ¨™ãŒ -\begin{verbatim} -  A.xy=[0,25/4]; -  B.xy=[5/2,25/4]; -\end{verbatim} -ã¨ãªã£ã¦ã„ã‚‹ã“ã¨ã«æ³¨æ„ã•ã‚ŒãŸã„。$y$座標をã‚らã‹ã˜ã‚åŠåˆ†ã«ã—ã¦ã„る。ã™ãªã‚ã¡ï¼ŒCinderellaã§ä½œå›³ã—ãŸå¹¾ä½•è¦ç´ ã«å¯¾ã—ã¦ã¯Setscalingã¯ç„¡åŠ¹ã§ã‚る。ã“ã‚Œã¯ï¼ŒPutpoint関数を用ã„ã¦ç‚¹ã®ä½ç½®ã‚’決ã‚ã¦ã‚‚åŒã˜ã§ã‚る。\\ - ãŸã¨ãˆã°ï¼Œæ¬¡ã®ã‚¹ã‚¯ãƒªãƒ—トã§ã¯ï¼ŒCinderellaã®ç”»é¢ä¸Šã§ã¯ï¼’本ã®ç·šåˆ†ãŒç‚¹Bã§ã¤ãªãŒã‚‹ãŒï¼Œæ›¸ã出ã•ã‚ŒãŸ\TeX ã®å›³ã§ã¯é›¢ã‚Œã¦ã—ã¾ã†ã€‚ -\begin{verbatim} -  Setscaling(0.5); -  Putpoint("A",[0,2]); -  Putpoint("B",[2,2]); -  Listplot([A,B]); -  Listplot("1",[[0,0],[2,2]]); -\end{verbatim} - \\ - \\ -%\newpage -\hypertarget{setunitlen}{} -\item[関数] Setunitlen(文字列) -\item[機能] å˜ä½é•·ã‚’設定ã™ã‚‹ã€‚デフォルト㯠1cm\\ - \\ - \\ -\hypertarget{setwindow}{} -\item[関数] Setwindow() -\item[機能] 出力ã™ã‚‹æ画領域を設定ã™ã‚‹\\ -\item[説明] 出力ã™ã‚‹æ画領域ã¯ï¼Œé€šå¸¸ã¯ï¼’点SWã¨NEを対角ã¨ã™ã‚‹çŸ©å½¢é ˜åŸŸã§ã‚る。 -ã“ã®ï¼’点をドラッグã™ã‚‹ã“ã¨ã«ã‚ˆã‚Šãƒ“ジュアルã«æ画領域を決ã‚られる。\\ -ã—ã‹ã—,ã“ã‚Œã¨ã¯åˆ¥ã«å‡ºåŠ›ç¯„囲を設定ã—ãŸã„å ´åˆã«ã“ã®é–¢æ•°ã‚’用ã„る。\\ -ã¾ãŸï¼Œè¡¨ã‚’作æˆã—ãŸã¨ãã¯ï¼Œè¡¨ã®ç¯„囲ãŒå‡ºåŠ›ç¯„囲ã¨ã—ã¦å„ªå…ˆã•ã‚Œã‚‹ï¼ˆTabledata()を実行ã—ãŸã¨ã)ã®ã§ï¼Œè¡¨å¤–ã«å›³ã‚’æã„ãŸå ´åˆã¯ï¼Œæœ€å¾Œã«ã“ã®é–¢æ•°ã§å‡ºåŠ›ç¯„囲を指定ã—ã¦æ›¸ã出ã™ã€‚\\ - \\ -\end{description} - -\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} -\newpage -%第5節ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ -\subsection{æç”»} - -æ画関数ã¯æ›²ç·šãªã©ã‚’作図ã™ã‚‹é–¢æ•°ã§ã‚る。\\ - 基本的ãªæ›¸å¼ã¯\\ -   関数å(name , 点リストãªã© , options);\\ -ã§ã‚ã‚‹ãŒï¼Œnameã®ä¸è¦ãªã‚‚ã®ã‚‚ã‚る。\\ - nameã¯ï¼Œãƒ—ロットデータã®å称を指定ã™ã‚‹ã‚‚ã®ã§ï¼Œé–¢æ•°ã”ã¨ã«æ±ºã‚られãŸé ­éƒ¨ã®ã‚ã¨ã«ä»˜ã‘られる。nameãŒä¸è¦ã®å ´åˆã¯ \ketcindy ãŒè‡ªå‹•çš„ã«å称を作æˆã™ã‚‹ã€‚\\ - 点リストãªã©ã¯ï¼Œç‚¹ã®åº§æ¨™ï¼Œç‚¹ã®è­˜åˆ¥å,複数ã®ç‚¹ã®ãƒªã‚¹ãƒˆï¼Œè¤‡æ•°ã®ç‚¹ã‚’示ã™æ–‡å­—列ãªã©ãŒã‚り,関数ã«ã‚ˆã£ã¦ç•°ãªã‚‹ã€‚点ã¯Cinderellaã§ä½œå›³ã—ãŸå¹¾ä½•è¦ç´ ã®ç‚¹ã‚’利用ã§ãる。\\ - \\ - optionsã¯ï¼Œç·šç¨®ãƒ»è¡¨ç¤ºã™ã‚‹æ–‡å­—列・解åƒåº¦ãƒ»å‡ºåŠ›ã®æœ‰ç„¡ãªã©ã‚’指定ã™ã‚‹ã‚ªãƒ—ション群。 -\begin{tabbing} -1234567890123\=\kill - 線種ã¯ã¤ãŽã®ï¼”通り。デフォルトã¯å®Ÿç·šã€‚\\ -  "dr, n"   \>太ã•nã®å®Ÿç·šã§æã。Scilab ã®ãƒ•ã‚¡ã‚¤ãƒ«ã« Drwline() を出力ã™ã‚‹ã€‚\\ -  "da,m,n" \>ç ´ç·šã‚’æã。Scilab ã®ãƒ•ã‚¡ã‚¤ãƒ«ã« Dashline() を出力ã™ã‚‹ã€‚\\ -        \> mã¯ç ´ç·šã®é•·ã•ï¼Œnã¯ç ´ç·šã®é–“隔 (m,nã¯çœç•¥å¯)\\ -        \>m,n オプションã¯Cinderellaã®æç”»é¢ã«ã¯å映ã•ã‚Œãªã„。\\ -  "id,m,n" \>ギャップã‹ã‚‰ã¯ã˜ã¾ã‚‹ç ´ç·šã‚’æã。Scilab ã®ãƒ•ã‚¡ã‚¤ãƒ«ã« Invdashline() を出力ã™ã‚‹ã€‚\\ -  "do,m,n" \>点線ã§æã。Scilab ã®ãƒ•ã‚¡ã‚¤ãƒ«ã« Dottedline() を出力ã™ã‚‹ã€‚\\ -        \>mã¯ç‚¹ã®é–“隔,nã¯å¤ªã•ã€€(m,nã¯çœç•¥å¯)\\ - æ画色指定ã¯ï¼ŒCindyscriptã®è¡¨è¨˜ã¨åŒæ§˜ã§ï¼ŒRGBã®ãƒªã‚¹ãƒˆã§æŒ‡å®šã™ã‚‹ã‹ï¼Œè‰²åを用ã„る。\\ -  例:\verb|"color->[0,0.7,0]"| ã§æš—ã„ç·‘ã«ãªã‚‹ã€‚\\ - 出力ã®æœ‰ç„¡ã¯\\ -  "notex" \>Cinderellaç”»é¢ä¸Šã§è£œåŠ©ç·šã¨ã—ã¦ç”¨ã„ãŸå›³å½¢ã‚’Scilabã«å‡ºåŠ›ã—ãªã„\\ -  "nodisp" \>Cinderellaç”»é¢ä¸Šã«ã‚‚出力ã—ãªã„\\ - -   "nodisp"ã¯ç”»é¢ä¸Šã«ã‚‚,Scilabã¸ã®ãƒ‡ãƒ¼ã‚¿ã«ã‚‚出力ã•ã‚Œãªã„ãŒï¼Œãƒ—ロットデータã¯ä½œæˆã•ã‚Œï¼Œ\\ -   ãれを戻り値ã¨ã™ã‚‹ã®ã§ï¼Œãƒ—ロットデータã ã‘を利用ã—ãŸã„å ´åˆã«æœ‰åŠ¹ã§ã‚る。\\ -   例 \verb|pdata=Circledata([A,B],["nodisp"]);|\\ -    ã¨ã—ã¦ï¼Œãƒ—ロットデータ pdata を処ç†ã™ã‚‹ã€‚\\ -\end{tabbing} - -\newpage -\begin{description} - -\hypertarget{anglemark}{} -\item[関数] Anglemark(点リスト , options) -\item[機能] 点リスト[A,B,C]ã§ç¤ºã•ã‚ŒãŸè§’ã«å¼§ã®å½¢çŠ¶ã®è§’ã®å°ã‚’ã¤ã‘る。 -\item[説明] optionsã¯æ¬¡ã®é€šã‚Šã€‚\\ -  数値   角ã®å°ã®å¤§ãã•ã€‚デフォルトã¯ï¼‘\\ -  線種   "dr, n" , "da,m,n" , "do,m,n"\\ -  "Expr=文字" : 文字を入れる\\ -  "Expr=ä½ç½® , 文字" : ä½ç½®ã‚’指定ã—ã¦æ–‡å­—を入れる。ä½ç½®ã¯é ‚点ã‹ã‚‰ã®è·é›¢ã€‚\\ - -例:三角形ã®å†…角ã«å°ã‚’ã„れ,文字を書ã込む。 -\begin{verbatim} -   Listplot([A,B,C,A]); -   Letter([A,"n1","A",B,"w1","B",C,"e1","C"]); -   Anglemark([B,A,C]); -   Anglemark([C,B,A],["Expr=\theta"]); -   Anglemark([A,C,B],[2,"dr,3","Expr=2,\alpha"]); -\end{verbatim} - \input{Fig/anglemark} - -※角ã®å°ã«ã¯å¹³è¡Œå››è¾ºå½¢ã®å½¢çŠ¶ã®ã‚‚ã®ã‚‚ã‚る。Paramark() ã‚’å‚ç…§ã®ã“ã¨ã€‚\\ - -\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} - -\hypertarget{arrowdata}{} -\item[関数] Arrowdata(name,[始点 , 終点] , options) -\item[機能] 2点間をçµã¶çŸ¢ç·šã‚’æã。プロットデータåã®é ­éƒ¨ã¯ ar -\item[説明] name ã¯ï¼Œåº§æ¨™ã‚’数値ã§ä¸Žãˆã‚‹ã¨ãã«å¿…è¦ã€‚幾何è¦ç´ ã®è­˜åˆ¥åã§ä¸Žãˆã‚‹ã¨ãã¯ãªãã¦ã‚‚よã„。\\ - optionsã¯çŸ¢ã˜ã‚Šã®å½¢çŠ¶ãªã©ã®æŒ‡å®šã§\\ -  [ 矢ã˜ã‚Šã®å¤§ãã•, é–‹ã角, 矢ã˜ã‚Šä½ç½®, 線種,ç·šã®è¡¨ç¤ºè‰²] - ã®ãƒªã‚¹ãƒˆã§ä¸Žãˆã‚‹ã€‚\\ - 開ã角ã¯60分法ã§ä¸Žãˆã‚‹ã€‚ãŸã ã—,° ã¯ã¤ã‘ãªã„。5未満ã®æ™‚ã¯18°ã®å€æ•°æŒ‡å®šã¨ã™ã‚‹ã€‚\\ - 矢ã˜ã‚Šä½ç½®ã¯ï¼Œç·šåˆ†ã®é•·ã•ã‚’1ã¨ã—ãŸå§‹ç‚¹ã‹ã‚‰ã®è·é›¢ã€‚\\ - ãŸã ã—,Cinderellaã®ç”»é¢ä¸Šã«ã¯å…¨ã¦ã¯å映ã•ã‚Œãªã„。ãŸã¨ãˆã°ï¼Œå¤ªã•æŒ‡å®šã‚’ã—ã¦ã‚‚太ã•ã¯åŒã˜ã€‚\\ - - 例:線分ABを矢線ã«ã™ã‚‹ã€‚\\ -    \verb|Arrowdata([A,B]);|\\ -   始点ãŒ(2,0) , 終点ãŒ(4,3) ,開ã角45°,EFã®ä¸­ç‚¹ã«çŸ¢ã˜ã‚Šã®å…ˆç«¯\\ -    \verb|Arrowdata("1",[[2,0],[4,3]],[1,45,0.5]);|\\ -   大ãã•ï¼’,太ã•ï¼’\\ -    \verb|Arrowdata([C,D],[2,1,1,"dr,2"]);|\\ -   破線ã§å¤ªã•0.5\\ -    \verb|Arrowdata([E,F],["da,0.5"]);|\\ -   少ã—é–“ãŒç©ºã„ã¦å¤ªã„点線ã§ï¼ŒCinderellaã®ç”»é¢ä¸Šã§ã¯èµ¤ã§è¡¨ç¤ºã™ã‚‹ã€‚\\ -    \verb|Arrowdata([G,H],[2,1,"do,2,3","color-$>$[1,0,0]"]);| \\ - -   \input{Fig/arrowdata}\\ -\\ - -\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} - -\hypertarget{arrowhead}{} -\item[関数] Arrowhead(点 , æ–¹å‘ , options) , Arrowhead(点 , プロットデータ,options) -\item[機能] 点ã«çŸ¢ã˜ã‚Šã ã‘ã‚’æã -\item[説明] 指定ã•ã‚ŒãŸä½ç½®ã«ï¼ŒæŒ‡å®šã•ã‚ŒãŸæ–¹å‘ã‚’å‘ã„ãŸçŸ¢ã˜ã‚Šã ã‘ã‚’æã。\\ - 点ã¯åº§æ¨™ã¾ãŸã¯å¹¾ä½•è¦ç´ å。方å‘ã¯åŽŸç‚¹ã‹ã‚‰è¦‹ã¦åº§æ¨™[a,b]ã®æ–¹å‘。\\ - options㯠[大ãã•ï¼ŒçŸ¢ã˜ã‚Šã®é–‹ã角,形状ã¨ä½ç½®] ã®ãƒªã‚¹ãƒˆã€‚\\ - 矢ã˜ã‚Šã®é–‹ã角ã¯60分法ã§ç‰‡å´åŠåˆ†ã®è§’。\\ - 形状ã¯ï¼Œ "f" :塗りã¤ã¶ã—ã®ä¸‰è§’形(デフォルト)ã¾ãŸã¯ã€€" l " : ラインã®ã¿ã€‚\\ - ä½ç½®ã¯ï¼Œ"t"(デフォルト)ã¾ãŸã¯ "c" , "b"\\ -   "t" ã¯çŸ¢ã˜ã‚Šã®å…ˆç«¯ãŒçµ‚点ã«ä¸€è‡´ï¼Œ"c" ã¯ä¸‰è§’å½¢ã®ä¸­å¿ƒãŒçµ‚点ã¨ä¸€è‡´ï¼Œ"b" ã¯çµ‚点ãŒçŸ¢ã˜ã‚Šã®åº•è¾ºã«ã®ã‚‹ã€‚\\ - プロットデータを指定ã—ãŸã¨ãã¯ï¼Œæ›²ç·šä¸Šã®ç‚¹ã«çŸ¢ã˜ã‚Šã‚’ã¤ã‘る。\\ - 曲線ã«ã¯å‘ããŒã‚り,ãã‚Œã«ã‚ˆã£ã¦çŸ¢ã˜ã‚Šã®å‘ããŒæ±ºã¾ã‚‹ã€‚" Invert(プロットデータ) " ã¨ã™ã‚‹ã¨å対å‘ãã®çŸ¢ã˜ã‚Šã«ãªã‚‹ã€‚\\ - 曲線ã®å‘ãã¨ã¯ï¼Œæ›²ç·šã‚’æãã¨ãã®é †åºã§ï¼Œãƒ—ロットデータã®é †åºã§ã‚‚ã‚る。invert() ã¯ã“ã®ãƒ—ロットデータを逆順ã«ã™ã‚‹ã‚‚ã®ã§ã‚る。\\ - -例: - -\vspace{-8mm} -\hspace{6mm} -\begin{layer}{150}{0} -\putnotese{0}{0}{点 A ãŒä¸‹å›³ã®ä½ç½®ã®ã¨ã} -\putnotese{0}{8}{\input{Fig/ForRef-Arrowhead-1}} -\putnotese{40}{0}{(ã‚¢) Arrowhead(A,[-1,1]);} -\putnotese{40}{7}{(イ) Arrowhead([1,1],[-1,1],[2,60]);} -\putnotese{40}{14}{(ウ) Arrowhead(A,[-1,1],[2,30,"b"]);} -\putnotese{40}{21}{(エ) Arrowhead([1,1],[-1,1],[2,20,"lc"]);} -\end{layer} - -\vspace{2mm} -\hspace{6mm} -\begin{layer}{150}{0} -\putnotese{0}{0}{\input{Fig/ForRef-Arrowhead-ya1}} -\putnotese{95}{55}{D ã®åº§æ¨™ãŒã‚ã‹ã‚Œ} -\putnotese{95}{60}{ã°ï¼Œãã‚Œã§ã‚‚よã„} -\putnotese{12}{27}{(ã‚¢)} -\putnotese{42}{27}{(イ)} -\putnotese{72}{27}{(ウ)} -\putnotese{102}{27}{(エ)} -\putnotese{0}{30}{\input{Fig/ForRef-Arrowhead-2}} -\putnotese{30}{30}{\input{Fig/ForRef-Arrowhead-3}} -\putnotese{60}{30}{\input{Fig/ForRef-Arrowhead-4}} -\putnotese{90}{30}{\input{Fig/ForRef-Arrowhead-5}} -\end{layer} - -\vspace{56mm} -\hspace{6mm} -\begin{layer}{150}{0} -\putnotese{0}{0}{曲線 crBC 上ã®ç‚¹ D ãŒ} -\putnotese{0}{5}{下図ã®ã‚ˆã†ãªã¨ã} -\putnotese{0}{7}{\input{Fig/ForRef-Arrowhead-6}} -\putnotese{16}{22}{crBC} -\putnotese{40}{0}{(オ) Arrowhead(D,"crBC");} -\putnotese{40}{7}{(ã‚«) Arrowhead(D,"crBC",[2]);} -\putnotese{40}{14}{(ã‚­) Arrowhead(D,"crBC",[2,30,"l"]);} -\putnotese{40}{21}{(ク) Arrowhead(D,"Invert(crBC)");} -\end{layer} - -\vspace{3mm} -\hspace{6mm} -\begin{layer}{150}{0} -\putnotese{12}{27}{(オ)} -\putnotese{42}{27}{(ã‚«)} -\putnotese{72}{27}{(ã‚­)} -\putnotese{102}{27}{(ク)} -\putnotese{0}{28}{\input{Fig/ForRef-Arrowhead-7}} -\putnotese{30}{28}{\input{Fig/ForRef-Arrowhead-8}} -\putnotese{60}{28}{\input{Fig/ForRef-Arrowhead-9}} -\putnotese{90}{28}{\input{Fig/ForRef-Arrowhead-10}} -\end{layer} - -\vspace{70mm} -\hypertarget{bezier}{} -\item[関数] Bezier(åå‰ï¼Œç¯€ç‚¹ãƒªã‚¹ãƒˆï¼Œåˆ¶å¾¡ç‚¹ãƒªã‚¹ãƒˆï¼Œ[オプション] ) -\item[機能] å˜ç‹¬ã®ãƒ™ã‚¸ã‚¨æ›²ç·šã‚’æã -\item[説明] 制御点ã¯ï¼Œå„区間ã«å¯¾ã—ã¦ï¼Œï¼“次ã®å ´åˆï¼’個,2次ã®å ´åˆï¼‘個ã®ãƒªã‚¹ãƒˆã§ä¸Žãˆã‚‹ã€‚ - - [ [F,G] , [H], ... ] - -オプション - -"Num=..." : 節点間ã®åˆ†å‰²æ•°ï¼ˆåˆ†ç‚¹æ•° $-1$)を指定ã§ãる。(デフォルトã¯10) - -\vspace{5mm} - -例: - -\begin{layer}{150}{0} -\putnotese{50}{15}{bz1} -\putnotese{60}{-15}{\input{Fig/checkbe1}} -\end{layer} - -2次ベジエ曲線 - -Bezier("1",[A,B],[C]); - -\vspace{20mm} - -\begin{layer}{150}{0} -\putnotese{50}{20}{bzc} -\putnotese{60}{-10}{\input{Fig/checkbe2}} -\end{layer} - -3次ベジエ曲線 - -Bezier("c",[A,B],[C,D]); - -\vspace{20mm} - -\begin{layer}{150}{0} -\putnotese{50}{20}{bz3} -\putnotese{60}{-10}{\input{Fig/checkbe3}} -\end{layer} - -ã¤ãªã’ã‚‹ - -Bezier("3",[A,B,C],[[D],[E,F]]); - -\vspace{20mm} - -\begin{layer}{150}{0} -\putnotese{50}{20}{bzS} -\putnotese{60}{5}{\input{Fig/checkbe4}} -\end{layer} - -D,B,E を1直線上ã«ã¨ã‚‹ã¨ï¼Œæ»‘らã‹ã«ã¤ãªãŒã‚‹ - -Bezier("S",[A,B,C],[[D],[E,F]]); - -\vspace{25mm} - - -\begin{layer}{150}{0} -\putnotese{16}{27}{bzname} -\putnotese{15}{10}{\input{Fig/checkbe7}} -\end{layer} - -å…¨ã¦åŒã˜æ¬¡æ•°ã®å ´åˆï¼Œæ¬¡ã®ã‚ˆã†ã«ã—ã¦ã‚‚よã„. - -Bezier("name", [A,B,C,D], [E,F,G,H,K,L] ); - -\vspace{30mm} - -\begin{layer}{150}{0} -\putnotese{50}{20}{bz1a} -\putnotese{60}{5}{\input{Fig/checkbe5}} -\end{layer} - -オプション - -Bezier("1a",[A,B,C],[[D],[E,F]],["Num=3"]); - -\vspace{30mm} - -\begin{layer}{150}{0} -\putnotese{50}{20}{bzd5e} -\putnotese{60}{5}{\input{Fig/checkbe6}} -\end{layer} - -Bezier("d5e",[A,B,C],[[D],[E,F]],["Num=200","da"]); - -\vspace{35mm} - - -\begin{layer}{150}{0} -\putnotese{20}{32}{bz1} -\putnotese{15}{15}{\input{Fig/checkbe8}} -\end{layer} - -Numを(ベクトルã¨ã—ã¦ï¼‰åŒºé–“ã”ã¨ã«ä¸Žãˆã‚‹ã“ã¨ã‚‚ã§ãる。 - -Bezier("1", [A,B,C,D], [E,F,G,H,K,L] , [ "Num=[2,3,4]"]); - -\vspace{30mm} - -\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} - - -\hypertarget{beziersmooth}{} -\item[関数] Beziersmooth(åå‰ï¼Œç¯€ç‚¹ãƒªã‚¹ãƒˆï¼Œ[オプション] ) -\item[機能] 節点間を3次ベジエ曲線ã§ã‚¹ãƒ ãƒ¼ã‚ºã«çµã‚“ã æ›²ç·šã‚’æã -\item[説明] 節点をã¯ã•ã‚€åˆ¶å¾¡ç‚¹ã¯ï¼‘直線上ã«ã¨ã‚‹ï¼ˆã—ãŸãŒã£ã¦ï¼Œï¼‘ã¤ã¯åŠè‡ªç”±ç‚¹ã§ï¼Œç›´ç·šä¸Šã—ã‹å‹•ã‘ãªã„)。 -制御点ã¯è‡ªå‹•çš„ã«é…ç½®ã•ã‚Œã‚‹ã€‚ãã®å¾Œï¼Œç¯€ç‚¹ã‚„制御点を動ã‹ã—ã¦ï¼ŒæããŸã„ã‚‚ã®ã«ã™ã‚‹ã€‚ - -例: - -\begin{layer}{150}{0} -\putnotese{70}{25}{bz1} -\putnotese{40}{-5}{\input{Fig/checksm1}} -\end{layer} - -Beziersmooth("1",[A,B,C,D]); - -\vspace{20mm} - -\begin{layer}{150}{0} -\putnotese{70}{35}{bz1} -\putnotese{40}{10}{\input{Fig/checksm2}} -\end{layer} - -ãã®å¾Œï¼Œç¯€ç‚¹ã‚„制御点\\ -ã‚’å‹•ã‹ã—ã¦ï¼ŒæããŸã„\\ -ã‚‚ã®ã«ã™ã‚‹ã€‚ãŸã ã—,\\ -C2p 㯠C1q 㨠B を通\\ -る直線上ã—ã‹å‹•ã‘ãªã„。\\ -C3p 㯠C2q 㨠C を通\\ -る直線上ã—ã‹å‹•ã‘ãªã„。 - -\vspace{10mm} - - -\hypertarget{beziersym}{} -\item[関数] Beziersym(åå‰ï¼Œç¯€ç‚¹ãƒªã‚¹ãƒˆï¼Œ[オプション] ) -\item[機能] 節点間を3次ベジエ曲線ã§ã‚¹ãƒ ãƒ¼ã‚ºã«çµã‚“ã æ›²ç·šã‚’æã -\item[説明] 節点をã¯ã•ã‚€åˆ¶å¾¡ç‚¹ã¯ç¯€ç‚¹ã«é–¢ã—対称(片方ã¯è¡¨ç¤ºã•ã‚Œãšï¼Œå‹•ã‹ã›ãªã„)。 -制御点ã¯è‡ªå‹•çš„ã«é…ç½®ã•ã‚Œã‚‹ã€‚ãã®å¾Œï¼Œç¯€ç‚¹ã‚„制御点を動ã‹ã—ã¦æããŸã„ã‚‚ã®ã«ã™ã‚‹ã€‚ - -例: - -\begin{layer}{150}{0} -\putnotese{70}{20}{bz1} -\putnotese{40}{-5}{\input{Fig/checksy1}} -\end{layer} - -Beziersym("1",[A,B,C,D]);\\ -C2p 㨠C3p ã¯è¡¨ç¤ºã•ã‚Œ\\ -ãªã„。 - -\vspace{10mm} - -\begin{layer}{150}{0} -\putnotese{70}{30}{bz1} -\putnotese{40}{0}{\input{Fig/checksy2}} -\end{layer} - -ãã®å¾Œï¼Œç¯€ç‚¹ã‚„制御点\\ -ã‚’å‹•ã‹ã—ã¦ï¼ŒæããŸã„\\ -ã‚‚ã®ã«ã™ã‚‹ã€‚\\ -C2p 㨠C3p ã¯è¡¨ç¤ºã•\\ã‚Œãšï¼Œå‹•ã‹ã›ãªã„。 - \\ -\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} - -\hypertarget{bowdata}{} -\item[関数] Bowdata(点リスト , options) -\item[機能] 弓形をæã -\item[説明] 点リストã§ä¸Žãˆã‚‰ã‚ŒãŸï¼’点をçµã¶å¼“形をæã。\\ - 2点をå時計回りã«å›žã‚‹æ–¹å‘ã«å¼“形をæã。\\ - optionsã¯ï¼Œ[曲ãŒã‚Š , 空白サイズ , 文字, 線種]\\ -  曲ãŒã‚Šã€€ã¯å¼§ã®æ›²ãŒã‚Šå…·åˆã®æŒ‡å®šã€‚デフォルトã¯ï¼‘\\ -  空白サイズ ã¯ä¸­å¤®ã«ã‚ã‘る空白ã®å¤§ãã•\\ -  文字ã¯ï¼Œ"Expr=文字" \\ -  ã¾ãŸï¼Œ"Expr=ä½ç½® , 文字" ã§ä½ç½®ã‚’指定ã—ã¦æ–‡å­—を入れる。ä½ç½®ã¯e,w,n,s,c\\ - -例 三角形ABCã®å„辺ã«å¼“形マークをã¤ã‘記å·ã‚’入れる。 -\begin{verbatim} -   Listplot([A,B,C,A]); -   Letter([A,"n1","A",B,"w1","B",C,"e1","C"]); -   Bowdata([A,B]); -   Bowdata([B,C],[1,"Expr=s3,a"]); -   Bowdata([C,A],[2,1.2,"Expr=10","da"]); -\end{verbatim} -   \input{Fig/bowdata}\\ - - 以上ãŒåŸºæœ¬ã€‚ã“ã‚Œã«åŠ ãˆï¼Œæ–‡å­—を回転ã—ã¦è¡¨ç¤ºã™ã‚‹æ–¹æ³•ãŒã‚る。\\ - ãŸã ã—,Cinderellaã®ç”»é¢ã«ã¯å映ã•ã‚Œãªã„。\\ - 文字をを回転ã™ã‚‹ã«ã¯æ¬¡ã®ã‚ˆã†ã«æ›¸ã。\\ - "Exprrot=å¾®å°ç§»å‹• , 文字"\\ -   微å°ç§»å‹•ã¯ t , n ,u \\ -     t ã¯ç·šåˆ†æ–¹å‘ã®å¾®å°ç§»å‹•ã€‚移動é‡ã¯æ•°å­—ã‚’ã¤ã‘る。正負ãŒå¯ã€‚\\ -     n ã¯ç·šåˆ†ã¨åž‚ç›´æ–¹å‘ã®å¾®å°ç§»å‹•\\ -     u ã¯ä¸Šä¸‹å転\\ - t , n , u ã¯çµ„ã¿åˆã‚ã›ã‚‹ã“ã¨ãŒã§ãる。 - 以下ã«ã„ãã¤ã‹ä¾‹ã‚’示ã™ã€‚ -\begin{verbatim} -  Bowdata([B,A],[1,1,"Exprrot=a"]); -  Bowdata([D,C],[1,1,"Exprrot=t3,a"]); -  Bowdata([F,E],[1,1,"Exprrot=t-3,a"]); -  Bowdata([H,G],[1,1,"Exprrot=n3,a"]); -  Bowdata([L,K],[1,1,"Exprrot=u,a"]); -  Bowdata([N,M],[1,1,"Exprrot=t3u,a"]); -\end{verbatim} - \input{Fig/bowdata2}\\ - -\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} - -\hypertarget{bspline}{} -\item[関数] Bspline(åå‰ï¼Œåˆ¶å¾¡ç‚¹ãƒªã‚¹ãƒˆï¼Œ[オプション] ) -\item[機能] 2次B-spline曲線をæã -\item[説明] 節点ã¯è‡ªå‹•çš„ã«è¨ˆç®—ã•ã‚Œï¼Œè¡¨ç¤ºã•ã‚Œãªã„\\ - - -例:\verb|Bspline("1",[A,B,C,D,E]);|\\ -  \verb|Bezier("1",[A,(B+C)/2,(C+D)/2,E],[B,C,D]);|\\ -  ã¨åŒã˜ã€‚曲線ã®åå‰ãŒ bz1 ã§ã¯ãªãbzb1 ã¨ãªã‚‹ã€‚\\ -  通常ã®B-spline曲線ã®ç«¯ã®åˆ¶å¾¡ç‚¹ã®ä»£ã‚ã‚Šã«ï¼Œç«¯ç‚¹ã‚’å‹•ã‹ã›ã‚‹ã‚ˆã†ã«ã—ã¦ã„る。\\ -    \input{Fig/checkbs1} - - -例:\verb|Bspline("1",[A,B,C,D,A]);|\\ - リストã®æœ€åˆã¨æœ€å¾ŒãŒåŒã˜å ´åˆã¯é–‰æ›²ç·šã«ãªã‚‹ã€‚\\ - \verb|Bezier("1",[(D+A)/2,(A+B)/2,(B+C)/2,(C+D)/2,(D+A)/2],[A,B,C,D]);| ã¨åŒã˜ã€‚\\ - \\ -    \input{Fig/checkbs2} - \\ -\hypertarget{crspline}{} -\item[関数] CRspline(åå‰ï¼Œç¯€ç‚¹ãƒªã‚¹ãƒˆï¼Œ[オプション] ) -\item[機能] å˜ç‹¬ã®Catmull-Rom スプライン曲線をæã -\item[説明] - 自由点ã¯ï¼Œç¯€ç‚¹ã®ã¿ã§ï¼Œåˆ¶å¾¡ç‚¹ã¯ç¯€ç‚¹ã‹ã‚‰ä½œã‚‰ã‚Œç§»å‹•ã¯ã§ããªã„。\\ - オプションã«ï¼Œé€šå¸¸ã®ã‚ªãƒ—ションã®ã»ã‹ï¼Œæ¬¡ã®ï¼’ã¤ãŒä½¿ãˆã‚‹ã€‚\\ -  "size-$>$n"     画é¢ä¸Šã§ã®ç·šã®å¤ªã•ã‚’指定ã™ã‚‹ã€‚\\ -  "pointsize-$>$n"  制御点ã®å¤§ãã•ã‚’指定ã™ã‚‹ã€‚0ã®ã¨ãéžè¡¨ç¤ºã¨ãªã‚‹ã€‚\\ - -例:\verb|CRspline("3",[A,B,C,D]);|\\ -   \input{Fig/checkCR} - \\ -\hypertarget{circledata}{} -\item[関数] Circledata(name,リスト,options)  -\item[機能] 円ã¾ãŸã¯å¤šè§’形をæã。 -\item[説明] 中心ã®ç‚¹ã¨ï¼Œå††å‘¨ä¸Šã®1点,ã¾ãŸã¯ï¼“点をリストã§ä¸Žãˆã¦å††ã‚’æã。\\ - プロットデータã®åå‰ã¯ï¼Œ"cr" ã«å¼•æ•°ã® name を付加ã—ãŸã‚‚ã®ã¨ãªã‚‹ã€‚\\ - 中心ã¨å††å‘¨ä¸Šã®ç‚¹ã‚’,座標ã§ã¯ãªã幾何è¦ç´ åã§æŒ‡å®šã™ã‚‹å ´åˆã¯ name ã¯çœç•¥å¯ã€‚\\ - optionsã¯ä»¥ä¸‹ã®ã‚‚ã®ã‚’リストã§ä¸Žãˆã‚‹ã€‚çœç•¥ã—ãŸå ´åˆã¯å®Ÿç·šã§å††ãŒæã‹ã‚Œã‚‹ã€‚ -\begin{tabbing} -1234567890123456789012\=\kill -  "Rng=[$θ_1,θ_2$]" \>角$θ_1$ã‹ã‚‰$θ_2$ã®ç¯„囲ã®å¼§ã‚’æã。角ã¯å¼§åº¦æ³•ã§ä¸Žãˆã‚‹ã€‚\\ -  "Num=分割数"  \>円をæãã¨ãã®åˆ†å‰²æ•°ã€‚値ãŒå°ã•ã„å ´åˆã¯å¤šè§’å½¢ã«ãªã‚‹ã€‚\\ -  線種  \>"dr, n" , "da,m,n" , "do,m,n"\\ - -\end{tabbing} -例:原点中心,åŠå¾„ï¼’ã®å††ã‚’æã \verb|Circledata("1",[[0,0],[2,0]]);|\\ -  A中心,åŠå¾„ABã®å†† ã‚’æã \verb|Circledata([A,B]);|\\ -  A中心,åŠå¾„ï¼’ã®å†† ã‚’æã \verb|Circledata([A,A+[2,0]]);|\\ -  3点A,B,Cを通る円をæã  \verb|Circledata([A,B,C]);|\\ -   ã“ã®å ´åˆï¼Œã§ããŸå††ã®ä¸­å¿ƒã‚’ \verb|Pointdata("1",[crABCcenter]);| ã§\\ -   作図ã§ãる。\\ -  下図左より,A中心,åŠå¾„ABã®å†† ã‚’\\ -   太ã•ï¼’ã®å®Ÿç·šã§æã \verb|Circledata([A,B],["dr,2"]);|\\ -   破線ã§æã     \verb|Circledata([A,B],["da"]);|\\ -   点線ã§æã     \verb|Circledata([A,B],["do"]);|\\ - \\ -\input{Fig/circledata1} - \\ -例:A中心,åŠå¾„AB,中心角60°ã®å¼§ã‚’æã。\\ -  \verb|Circledata([A,B],["Rng=[0,pi/3]"]); |\\ - ã“ã®ã¨ã,扇型をæãã®ã§ã‚ã‚Œã°ï¼Œ2本ã®åŠå¾„を引ãå¿…è¦ãŒã‚る。ãã®ãŸã‚ã«ã¯ï¼ŒAãŒåŽŸç‚¹ï¼ŒBãŒx軸上ã«ã‚ã‚Œã°ï¼Œç‚¹A,B以外ã«ã‚‚ã†ã²ã¨ã¤ç‚¹Cã‚’ã¨ã‚Šï¼Œãã®ä½ç½®ã‚’ CindyScript を用ã„㦠-\begin{verbatim} -  C.xy=|A,B|*[cos(pi/3),sin(pi/3)] -\end{verbatim} - ã§æŒ‡å®šã—,扇型ãŒã§ããŸã®ã‚’確ã‹ã‚ã¦ã‹ã‚‰ï¼Œ\verb|Listplot([B,A,C])| を付加ã™ã‚Œã°ã‚ˆã„。\\ -\\ -       \input{Fig/circledata2}\\ -\\ - 辺ABãŒ$x$軸ã¨å¹³è¡Œã§ãªã„å ´åˆã¯ï¼Œè§’ã®ç¯„囲ã¯ï¼ã‹ã‚‰ã§ã¯ãªã,ABãŒ$x$軸ã¨ãªã™è§’ã‹ã‚‰å§‹ã‚ã‚‹å¿…è¦ãŒã‚り,ã¡ã‚‡ã£ã¨ã—ãŸå·¥å¤«ãŒå¿…è¦ã§ã‚る。中心AãŒåŽŸç‚¹ã§ãªã„å ´åˆã‚‚å«ã‚,次ã®ã‚ˆã†ãªã‚¹ã‚¯ãƒªãƒ—トã§å®Ÿç¾ã§ãる。\begin{verbatim} -  th=arctan2(B.xy-A.xy); -  str="Rng=["+text(th+0)+","+text(th+pi/3)+"]"; -  C.xy=A.xy+|A,B|*[cos(th+pi/3),sin(th+pi/3)]; -  Circledata([A,B],[str]); -  Listplot([B,A,C]); -\end{verbatim} -1行目ã¯ï¼ŒABãŒ$x$軸ã¨ãªã™è§’ã‚’ arctan2 関数 ã«ã‚ˆã£ã¦æ±‚ã‚ã¦ã„る。\\ -2行目ã¯å¼•æ•°ã®æ–‡å­—列を作ã£ã¦ã„る。th+0 , th+pi/3 ã«ã‚ˆã‚Šå¼§åº¦æ³•ã«ã—ã¦ã„る。ã“ã“ã§ï¼Œ+0 ãŒå¿…è¦ã§ã‚る。\\ -\\ -       \input{Fig/circledata3}\\ -\\ - -複数ã®ã‚ªãƒ—ションをリストã§ä¸Žãˆã‚‹ã“ã¨ã‚‚ã§ãる。\\ - -例:弧を太ãæã\\ -  \verb|Circledata([C,D],["dr,3","Rng=[0,pi/3]"]);|\\ - - 円ã¯NãŒå¤§ããªå€¤ã®æ­£N多角形ã¨ã—ã¦æã„ã¦ã„る。optionã® ["Num=数値"] ã«ã‚ˆã£ã¦ãã®ç´°ã‹ã•ã‚’指定ã§ãる。Nã®å€¤ãŒå°ã•ã‘ã‚Œã°æ­£å¤šè§’å½¢ãŒæã‘ã‚‹ã“ã¨ã«ãªã‚‹ã€‚\\ -例:A中心,åŠå¾„ABã®å††ã¨ï¼Œãã®å††ã«å†…接ã™ã‚‹æ­£å…­è§’å½¢ -\begin{verbatim} -  Circledata("1",[A,B]); -  Circledata("2",[A,B],["Num=6"]); -\end{verbatim} -        \input{Fig/circledata4}\\ -ã“ã“ã§ï¼ŒåŒã˜[A,B]を使ã†ãŸã‚,nameを付与ã—ã¦åŒºåˆ¥ã™ã‚‹å¿…è¦ãŒã‚る。\\ -ã¾ãŸï¼Œé ‚点ã®ä½ç½®ã‚’変ãˆã‚‹ã®ã§ã‚ã‚Œã°ï¼ŒRng= オプションを使ã†ã€‚\\ -  \verb|Circledata("2",[A,B],["Num=6","Rng=[pi/6,13/6*pi]"]);|\\ -        \input{Fig/circledata5}\\ -\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} - -\hypertarget{crosspoint}{} -\item[関数] Crosspoint(name , PD1 ,PD2 , 範囲) -\item[機能] 2曲線ã®äº¤ç‚¹ã‚’作る -\item[説明] 曲線1ã¨æ›²ç·š2ã®ç¯„囲ã«ã‚る交点を作る。曲線1ã¨æ›²ç·šï¼’ã¯ãƒ—ロットデータã®å称。\\ -範囲ã¯ï¼Œäº¤ç‚¹ãŒå­˜åœ¨ã™ã‚‹ç¯„囲を指定ã™ã‚‹ã€‚\\ - -例:3次曲線ã®æŽ¥ç·šãŒãã®æ›²ç·šã¨äº¤ã‚る点を求ã‚る。\\ -2点A,Bを作図ツールã§é©å½“ãªã¨ã“ã‚ã«ã¨ã‚Šï¼Œæ¬¡ã®ã‚¹ã‚¯ãƒªãƒ—トã§3次曲線をæã。 -\begin{verbatim} -  f(x):=x^3-4*x; -  g(x):=d(f(#),A.x)*(x-A.x)+A.y; -  A.y=f(A.x); -  B.y=g(B.x); -  Plotdata("1","f(x)","x"); -  Lineplot([A,B]); -\end{verbatim} -1行目ã¨ï¼’行目ã§3次曲線ã¨ãã®æŽ¥ç·šã‚’定義ã—,点A,Bã‚’ãã®ä¸Šã«ä¹—ã›ã¦ã„る。\\ -Plotdata() 㨠Lineplot() ã«ã‚ˆã‚Šï¼Œ3次曲線ã¨æŽ¥ç·šã®ãƒ—ロットデータãŒã§ãる。\\ -ãã‚Œãžã‚Œã®å称ã¯ã‚³ãƒ³ã‚½ãƒ¼ãƒ«ã«å‡ºåŠ›ã•ã‚Œã‚‹ã€‚3次曲線㯠gr1 , 接線㯠lnAB ã§ã‚る。\\ -ã¾ãŸï¼Œå›³ã‚’見ã¦ï¼Œäº¤ç‚¹ã®ã‚る場所を確èªã—ã¦ç¯„囲を決ã‚る。\\ -プロットデータåã¨ç¯„囲を用ã„ã¦æ¬¡ã®ã‚¹ã‚¯ãƒªãƒ—トを追加ã™ã‚‹ã€‚\\ - -  \verb|Crosspoint("C",gr1,lnAB,[1,2]);|\\ - -ã“ã‚Œã§ï¼Œäº¤ç‚¹ï¼£ãŒæ–°ãŸã«ä½œã‚‰ã‚Œã‚‹ã€‚\\ -å¿…è¦ã«å¿œã˜ï¼ŒLetter関数ã§ç‚¹ã®åå‰ã‚’表示ã™ã‚‹ã¨æ¬¡ã®ã‚ˆã†ã«ãªã‚‹ã€‚\\ -\\ -        \input{Fig/crosspoint}\\ - \\ -交点ãŒå­˜åœ¨ã—ãªã„å ´åˆï¼ŒPD1ã®ç«¯ç‚¹ã«ç‚¹ãŒä½œã‚‰ã‚Œã‚‹ã€‚\\ -2曲線ã®äº¤ç‚¹ã‚’作るã®ã«ï¼Œ\hyperlink{putintersect}{Putintersect(点å,PD1,PD2)} 関数を用ã„ã‚‹ã“ã¨ã‚‚ã§ãる。\\ -\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} -\hypertarget{deqplot}{} -\item[関数] Deqplot(name,å¼ï¼Œå¤‰æ•°å,åˆæœŸå€¤ï¼Œoptions) -\item[機能] 微分方程å¼ã®è§£æ›²ç·šã‚’æã -\item[説明] 微分方程å¼ã¨åˆæœŸå€¤ã‚’与ãˆã¦è§£æ›²ç·šã‚’æã。\\ - \\ -例:$y''=-y$ã§ï¼ŒåˆæœŸå€¤ãŒ$x=0$ã®ã¨ã$y=1,y'=0$ ã®è§£æ›²ç·š\\ - -  \verb|Deqplot("1","y``=-y","x",0, [1,0]); |\\ - -       \input{Fig/deqplot1}\\ - -例:$y'=y*(1-y)$ã§ï¼Œ$x=0$ã®ã¨ã,$y=0.5$ã®è§£æ›²ç·š\\ - -  \verb|Deqplot("2","y`=y*(1-y)","x",0, 0.5,["Num=100"]);| \\ - -       \input{Fig/deqplot2}\\ - -例:$[x,y]'=[x(1-y),0.3y(x-1)]$ã§ï¼Œå¤‰æ•°ã¯$t$,$t=0$(区間ã®å·¦ç«¯ï¼‰ã®ã¨ãã®$x, y$ã®å€¤ãŒ1ã¨0.5 ã§ã‚ã‚‹ã¨ãã®è§£æ›²ç·š -\begin{verbatim} -   Deqplot("3","[x,y]`=[x*(1-y),0.3*y*(x-1)]","t=[0,20]", -                 [1,0.5],["Num=200"]); -\end{verbatim} - \\ -       \input{Fig/deqplot3}\\ - \\ - ãªãŠï¼Œã“ã®ä¾‹ã§ã¯ï¼ŒCinderellaã®ç”»é¢ä¸Šã®å›³ã¯èª¤å·®ãŒå¤§ããã¦æ­£ç¢ºãªå›³ã«ã¯ãªã‚‰ãªã„ãŒï¼Œ\TeX ã«å‡ºåŠ›ã™ã‚‹å›³ã¯æ­£ç¢ºãªå›³ã«ãªã‚‹ã€‚解åƒåº¦ã‚’上ã’ã‚‹(Numã®æ•°ã‚’大ããã™ã‚‹)ã“ã¨ã«ã‚ˆã‚Šï¼ŒCinderellaã®ç”»é¢ä¸Šã®å›³ã‚‚正確ãªå›³ã«è¿‘ã¥ã。\\ - -\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} - -\hypertarget{drwpt}{} -\item[関数] Drwpt(点,option), Drawpoint(点,options) -\item[機能] 点を表示ã™ã‚‹ -\item[説明] 座標ã¾ãŸã¯å¹¾ä½•ç‚¹ã®è­˜åˆ¥åを与ãˆã¦ç‚¹ã‚’表示ã™ã‚‹ã€‚ã“ã‚Œã ã‘ã§ã¯Cinderellaã®æç”»é¢ã«ã¯æã‹ã‚Œãªã„ã®ã§ï¼Œæç”»é¢ã«ã‚‚表示ã™ã‚‹ã«ã¯Cinderellaã®ä½œå›³ãƒ„ールã§ä½œå›³ã™ã‚‹ã‹ï¼ŒPointdata() ã¾ãŸã¯ Putpoint() を用ã„る。\\ - 複数ã®ç‚¹ã®å ´åˆã¯åº§æ¨™ã¾ãŸã¯è­˜åˆ¥åã¯ãƒªã‚¹ãƒˆã§ä¸Žãˆã‚‹ã€‚\\ - optionã«æ•°å­— 0 を入れるã¨ï¼Œç™½æŠœãã§è¡¨ç¤ºã™ã‚‹ã€‚ãªãŠç™½æŠœãã®å ´åˆã¯ï¼ŒPtsize()ã§ç‚¹ã®å¤§ãã•ã‚’å°‘ã—大ãã‚ã«ã¨ã‚‹ã¨ã‚ˆã„。\\ - å¯èª­æ€§ã‚’高ã‚ã‚‹ã¨ãã¯Drawpointを推奨ã™ã‚‹ã€‚\\ - -例:座標(1,1)ã¨(4,3)ã«ç‚¹ã‚’表示ã™ã‚‹ã€‚Cinderellaã®æç”»é¢ã«ã¯æã‹ã‚Œãªã„。\\ -   \verb|Drwpt([[1,1],[4,3]]);|\\ - -例:Cinderellaã§ç‚¹A,B,Cを作図ã—ã¦ãŠã,\TeX ã§è¡¨ç¤ºã™ã‚‹ã€‚\\ -   \verb|Drwpt([A,B,C]); |\\ - -例:線分ABã®å³ç«¯ï¼ˆB)を白抜ãã§è¡¨ç¤ºã™ã‚‹ -\begin{verbatim} -   Ptsize(5); -   Listplot([A,B]); -   Drawpoint(B,0); -\end{verbatim} - \\ -    \input{Fig/drawpoint}\\ -※ Drawpoint([A,B],0); ã¨ã™ã‚Œã°ï¼Œä¸¡ç«¯ãŒç™½æŠœãã«ãªã‚‹ã€‚\\ -\\ -\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} - -\hypertarget{drawsegmark}{} -\item[関数] Drawsegmark(name,リスト,options)ã¾ãŸã¯ Segmark(name,リスト,options) -\item[機能] 線分ã«å°ã‚’ã¤ã‘ã‚‹ -\item[説明] リストã§ä¸Žãˆã‚‰ã‚ŒãŸï¼’点を端点ã¨ã™ã‚‹ç·šåˆ†ã«å°ã‚’ã¤ã‘る。å°ã«ã¯ï¼”種類ãŒã‚る。\\ - optionsã¯ï¼Œ\\ -  Type=n:n=1〜4:å°ã®ç¨®é¡ž\\ -  Width:二本線ã®ã¨ãã®ç·šã®å¹…\\ - 例:Listplot()ã§å››è§’å½¢ABCDã‚’æã線分ã«å°ã‚’ã¤ã‘ãŸã€‚ -\begin{verbatim} -   Segmark("1",[A,B],["Type=1"]); -   Segmark("2",[B,C],["Type=2","Width=1.5"]); -   Segmark("3",[C,D],["Type=3"]); -   Segmark("4",[D,A],["Type=4"]); -\end{verbatim} -    \input{Fig/segmark} - -\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} - -\hypertarget{expr}{} -\item[関数] Expr([座標 , ä½ç½® , 文字列]) -\item[機能] \TeX 記法ã®æ–‡å­—列を与ãˆã¦æ•°å¼ã‚’書ã。 -\item[説明] Letterã§æ–‡å­—列ã®å‰å¾Œã«\$ \$ã‚’ãŠãã®ã¨åŒã˜ã€‚\\ - 導関数ã®è¨˜å·ï¼ˆã‚·ãƒ³ã‚°ãƒ«ã‚¯ã‚¦ã‚©ãƒ¼ãƒˆï¼‰$'$ã¯ï¼ŒScilab ã§ã®ã‚·ãƒ³ã‚°ãƒ«ã‚¯ã‚¦ã‚©ãƒ¼ãƒˆã®ä½¿ç”¨ã¨ã¶ã¤ã‹ã‚‹ã®ã§ï¼Œ$`$(ãƒãƒƒã‚¯ã‚¯ã‚¦ã‚©ãƒ¼ãƒˆï¼‰ã‚’用ã„る。\\ - 複数ã®ç®‡æ‰€ã«æ–‡å­—を書ãå ´åˆã¯ï¼ŒLetter() ã¨åŒæ§˜ï¼Œå¼•æ•°ã‚’リストã«ã—ã¦ä¸Žãˆã‚‹ã€‚\\ - -例 $f(x)=\dfrac{1}{4} x^2$ ã¨ãã®å°Žé–¢æ•° $f'(x)=\dfrac{1}{2} x$ ã®å¼ï¼Œè»¸ä¸Šã«å¿…è¦ãªæ•°ã‚’入れる。 -\begin{verbatim} -   Expr([[-3,3],"e","f(x)=\frac{1}{4} x^2",[3,1.5],"s2e2", -      "f‘(x)=\frac{1}{2}x",[2,0],"s","2",[0,1],"w","1"]); -\end{verbatim} - \\ -     \input{Fig/expr}\\ - -  ※原点OãŒç·šã¨é‡ãªã£ã¦ã„る。ä½ç½®ã‚’ãšã‚‰ã™ã«ã¯ï¼ŒSetax() ã®é …ã‚’å‚ç…§ã®ã“ã¨ã€‚\\ - -例 対数関数ã®å®šç©åˆ†ã®è¨˜å·ãŠã‚ˆã³ç©åˆ†å€¤ã‚’図ã«æ›¸ã込む。\\ -  下図ã§ï¼Œå®šç©åˆ†ã®è¡¨ç¤ºã®éƒ¨åˆ†ã¯çŸ¢ç·šã‚’PQã¨ã—ã¦ï¼Œ -\begin{verbatim} -   Arrowdata(Q,P); -   Expr([Q+[0.2,0],"ne","\displaystyle \int_a^b \log x\,dx="+ -      text(L.x*(log(L.x)-1)-G.x*(log(G.x)-1)) ]); -\end{verbatim} -  ã§è¡¨ç¤ºã—ã¦ã„る。\\ -  \verb|L.x*(log(L.x)-1)-G.x*(log(G.x)-1)| ã¯ï¼Œç‚¹L,G(図ã®$a,b$)をドラッグã—ã¦\\ -  ç©åˆ†ç¯„囲を決ã‚るよã†ã«ã—ã¦ã„ã‚‹ã®ã§ï¼Œãã“ã‹ã‚‰è¨ˆç®—ã—ãŸå€¤ã€‚\\ -\\ - -     \input{Fig/intlog} - -\hypertarget{exprrot}{} -\item[関数] Exprrot([座標 , å‘ã , 文字列]) -\item[機能] \TeX 記法ã®æ–‡å­—列を与ãˆã¦å‚¾ã„ãŸæ•°å¼ã‚’書ã。 -\item[説明] 「座標ã€ã®ä½ç½®ã«ï¼ŒæŒ‡å®šã•ã‚ŒãŸå‘ãã§æ•°å¼ã‚’書ã。\\ - å‘ãã¯ãƒ™ã‚¯ãƒˆãƒ«ã§ä¸Žãˆã‚‹ã€‚\\ - 座標,å‘ãã¨ã‚‚,Cinderellaã§ä½œå›³ã—ãŸå¹¾ä½•ç‚¹ã‚’用ã„ã‚‹ã“ã¨ãŒã§ãる。\\ - A(1,1),B(3,2),C(0,2) ã®ã¨ã,次ã®ï¼’ã¤ã®ã‚¹ã‚¯ãƒªãƒ—トã¯åŒã˜çµæžœã«ãªã‚‹ã€‚ -\begin{verbatim} -   Exprrot(C,B-A,"\sqrt{3}"); -   Exprrot([0,2],[2,1],"\sqrt{3}"); -\end{verbatim} - \\ - -\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} - -\hypertarget{ellipseplot}{} -\item[関数] Ellipseplot(name,点リスト ,定義域, options) -\item[機能] 焦点ã¨é€šã‚‹ç‚¹ã‚’与ãˆã¦æ¥•å††ã‚’æã。 -\item[説明] 点リストã§ï¼’ã¤ã®ç„¦ç‚¹ã¨é€šã‚‹ç‚¹ã‚’与ãˆã‚‹ã€‚点ã¯Cinderellaã®å¹¾ä½•ç‚¹ãŒä½¿ãˆã‚‹ã€‚\\ - ã¾ãŸï¼Œé€šã‚‹ç‚¹ã®ã‹ã‚ã‚Šã«ï¼Œç„¦ç‚¹ã‹ã‚‰ã®è·é›¢ã®å’Œã‚’実数ã§ä¸Žãˆã‚‹ã“ã¨ã‚‚ã§ãる。\\ - 実際ã«ã¯ï¼Œåª’介変数表示$x=a \cos \theta,x=b \sin \theta$ を,回転・平行移動ã—ã¦æã„ã¦ã„る。定義域ã¯ã“ã®ã¨ãã®$t$ã®å®šç¾©åŸŸã§ï¼Œçœç•¥ã‚‚å¯èƒ½ã€‚çœç•¥ã—ãŸã¨ãã®åˆæœŸå€¤ã¯[-5,5]\\ - -例:点A,Bを焦点ã¨ã™ã‚‹æ¥•å††ã‚’æã。\\ -  \verb|Ellipseplot("1",[A,B,C]);|  点Cを通る楕円をæã。\\ -  \verb|Ellipseplot("1",[A,B,4]);|  焦点ã‹ã‚‰ã®è·é›¢ã®å’ŒãŒï¼”ã§ã‚る楕円をæã。\\ -  \verb|Ellipseplot("1",[A,B,C],"[0,pi]");|  楕円ã®åŠåˆ†ã‚’æã。\\ - \\ -例:Cinderellaã®ä½œå›³ãƒ„ールã«ï¼Œç„¦ç‚¹ã¨é€šã‚‹ç‚¹ã§æ¥•å††ã‚’æãã‚‚ã®ãŒã‚る。ã¾ãŸï¼Œç‚¹ã®æ¥µç·šã‚’æãツールãŒã‚る。ã“れを利用ã™ã‚‹ã¨ï¼Œæ¥•å††ä¸Šã«ã¨ã£ãŸç‚¹ã‚’インシデントã«ã§ãã‚‹ã®ã§ï¼Œã‚¤ãƒ³ã‚¿ãƒ©ã‚¯ãƒ†ã‚£ãƒ–ã«å›³ã‚’変更ã™ã‚‹ã“ã¨ãŒã§ãる。ã“ã®Cinderellaã®ä½œå›³æ©Ÿèƒ½ã¨åˆã‚ã›ã¦ï¼Œä¸€æ–¹ã®ç„¦ç‚¹ã‹ã‚‰å‡ºãŸå…‰ãŒæ¥•å††ä¸Šã§åå°„ã—ã¦ä»–æ–¹ã®ç„¦ç‚¹ã«è‡³ã‚‹ï¼Œã¨ã„ã†å›³ã‚’次ã®ã‚ˆã†ã«ã—ã¦æãã“ã¨ãŒã§ãる。\\ - ã¾ãšï¼Œï¼“ã¤ã®ç‚¹A,B,Cを作図ã™ã‚‹ã€‚次ã«ã€Œç„¦ç‚¹ã¨é€šã‚‹ç‚¹ã§æ±ºã¾ã‚‹æ¥•å††ã€ãƒ„ールをé¸ã³ï¼Œç‚¹A,B,Cã‚’é †ã«æŒ‡å®šã™ã‚‹ã¨ï¼Œæ¥•å††ãŒæã‹ã‚Œã‚‹ã€‚\\ - - モードメニューã®ã€Œç›´ç·šã€ã‹ã‚‰ã€Œç‚¹ã®æ¥µç·šã€ã‚’é¸ã³ï¼Œç‚¹Cã¨æ¥•å††ã‚’é †ã«æŒ‡å®šã™ã‚‹ã¨æŽ¥ç·šãŒå¼•ã‹ã‚Œã‚‹ã€‚\\ - 「垂線を加ãˆã‚‹ã€ãƒ„ールを用ã„ã¦ï¼Œç‚¹Cã§åž‚線,ã™ãªã‚ã¡æ³•ç·šã‚’引ã。\\ - 「点を加ãˆã‚‹ã€ãƒ„ールを用ã„ã¦ï¼ŒæŽ¥ç·šï¼Œæ³•ç·šä¸Šã«é©å½“ã«ç‚¹ã‚’å–る。(D,Eã¨ãªã£ãŸã¨ã™ã‚‹)\\ - 次ã®ã‚¹ã‚¯ãƒªãƒ—トを書ã„ã¦å®Ÿè¡Œã™ã‚‹ã¨ï¼Œæ¥•å††ã«é–¢ã—ã¦å…¥å°„角ã¨å射角ãŒç­‰ã—ããªã‚‹ã‚ˆã†ã«å…‰ãŒåå°„ã™ã‚‹æ§˜å­ã‚’図ã«ã™ã‚‹ã“ã¨ãŒã§ãる。 -\begin{verbatim} -  Ellipseplot("1",[A,B,C]); -  Lineplot([C,D]); -  Lineplot([C,E]); -  Arrowdata([A,C]); -  Arrowdata([C,B]); -  Anglemark([A,C,B]); -  Expr([A,"s2","F_1",B,"s2","F_2"]); -\end{verbatim} - \\ -  \input{Fig/ellipseplot1}\\ - - ã¾ãŸï¼ŒæŽ¥ç·šï¼Œæ³•ç·šã‚’æã‹ãšï¼Œã“ã®æ¥•å††ä¸Šã«ç‚¹D,E,・・をã¨ã‚Šï¼ˆå€‹æ•°ã¯ä»»æ„)次ã®ã‚¹ã‚¯ãƒªãƒ—トを書ã‘ã°ï¼Œä½•æœ¬ã‹ã®å…‰ç·šãŒä¸€æ–¹ã®ç„¦ç‚¹ã‚’出ã¦ä»–æ–¹ã®ç„¦ç‚¹ã«é›†ã¾ã‚‹æ§˜å­ã‚’æãã“ã¨ãŒã§ãる。 -\begin{verbatim} -  Ellipseplot("1",[A,B,C]); -  Listplot([A,C,B]); -  Listplot([A,D,B]); -  Listplot([A,E,B]); -  Expr([A,"s2","F_1",B,"s2","F_2"]); -\end{verbatim} - \\ -  \input{Fig/ellipseplot2}\\ - \\ - -\hypertarget{framedata}{} -\item[関数] Framedata(name , リスト) -\item[関数] Framedata2(name ,[P1,P2]) -\item[機能] 矩形をæã -\item[説明] 中心ã®åº§æ¨™ï¼Œæ¨ªï¼Œç¸¦ã‚’リスト[中心 ,横 , 縦]ã§ä¸Žãˆï¼ŒçŸ©å½¢ã‚’æã。横,縦ã¯ä¸­å¿ƒã‹ã‚‰ã®è·é›¢ã€‚\\ - 中心ã®åº§æ¨™ã¯ç‚¹ã®åå‰ã§ã‚‚よã„。\\ - 中心を座標ã§ä¸Žãˆã‚‹å ´åˆã¯nameã¯çœç•¥ã§ããªã„。\\ - 横,縦ã¯ï¼ŒçŸ©å½¢ã®é ‚点を示ã™ç‚¹ã«ã™ã‚‹ã“ã¨ã‚‚ã§ãる。\\ - 中心,横,縦をçœç•¥ã—ãŸå ´åˆã¯ï¼Œæ画範囲ã¨åŒä¸€ã®çŸ©å½¢ã‚’æã\\ - Framedata2() ã§ã¯ï¼Œå¯¾è§’点(左下P1ã¨å³ä¸ŠP2)をリストã§ä¸Žãˆã‚‹ã€‚\\ - 以下ã«ã„ãã¤ã‹ä¾‹ã‚’示ã™\\ - \verb|Framedata("1");|      æ画範囲ã¨åŒä¸€ã®çŸ©å½¢ã‚’æã\\ - \verb|Framedata("2",[[0,0],2,2]);|  原点を中心ã¨ã™ã‚‹ç¸¦æ¨ªå¹…ï¼”ã®æ­£æ–¹å½¢ã‚’æã\\ - \verb|Framedata("3",[A,3,2]);|    点Aを中心ã¨ã™ã‚‹æ¨ªï¼–,縦4ã®çŸ©å½¢ã‚’æã\\ - \verb|Framedata([A,3,2]);|  中心ãŒç‚¹ã®å称ã®å ´åˆã¯nameã¯çœç•¥ã§ãる。\\ - \verb|Framedata([A,B]);|   点Aを中心,点Bを頂点ã®ã²ã¨ã¤ã¨ã™ã‚‹çŸ©å½¢ã‚’æã\\ -    矩形ã®è§’を丸ã‚ãŸã„å ´åˆã¯ï¼ŒOvaldata(name, 点リスト,options)を使ã†ã€‚\\ - \verb|Framedata2("1",[A,B]);|  点A,Bを対角点ã¨ã™ã‚‹çŸ©å½¢ã‚’æã\\ - \\ - -\hypertarget{hyperbolaplot}{} -\item[関数] Hyperbolaplot(name,点リスト ,定義域, options) -\item[機能] 焦点ã¨é€šã‚‹ç‚¹ã‚’与ãˆã¦åŒæ›²ç·šã‚’æã。 -\item[説明] 点リストã§ï¼’ã¤ã®ç„¦ç‚¹ã¨é€šã‚‹ç‚¹ã‚’与ãˆã‚‹ã€‚点ã¯Cinderellaã®å¹¾ä½•ç‚¹ãŒä½¿ãˆã‚‹ã€‚ã¾ãŸï¼Œé€šã‚‹ç‚¹ã®ã‹ã‚ã‚Šã«ï¼Œç„¦ç‚¹ã‹ã‚‰ã®è·é›¢ã®å·®ã‚’実数ã§ä¸Žãˆã‚‹ã“ã¨ã‚‚ã§ãる。\\ - 実際ã«ã¯ï¼Œãƒã‚¤ãƒ‘ボリック関数を用ã„ãŸåª’介変数表示 $x=\cosh t,y=\sinh t$を回転・平行移動ã—ã¦ã„る。 - optionã¨ã—ã¦ï¼Œ"Asy=線種" を与ãˆã‚‹ã¨ï¼Œæ¼¸è¿‘線を指定ã—ãŸç·šç¨®ã§è¡¨ç¤ºã™ã‚‹ã€‚デフォルトã§ã¯æ¼¸è¿‘ç·šã¯éžè¡¨ç¤ºã€‚\\ - -例:点A,Bを焦点ã¨ã™ã‚‹åŒæ›²ç·šã‚’æã。\\ -  \verb|Hyperbolaplot("1",[A,B,C]);|   点Cを通るåŒæ›²ç·šã‚’æã。\\ -  \verb|Hyperbolaplot("1",[A,B,2]);|   焦点ã‹ã‚‰ã®è·é›¢ã®å·®ãŒ2ã®åŒæ›²ç·šã‚’æã。\\ -  \verb|Hyperbolaplot("1",[A,B,C],["Asy=do"]);|  漸近線を点線ã§æã。\\ - -     \input{Fig/hyper1}\\ - -\hypertarget{parabolaplot}{} -\item[関数] Parabolaplot(name,点リスト ,定義域, options) -\item[機能] 点リスト[A,B,C]ã§ç¤ºã•ã‚ŒãŸç„¦ç‚¹ï¼Œæº–ç·šã§æ±ºã¾ã‚‹æ”¾ç‰©ç·šã‚’æã。 -\item[説明] 焦点Aã¨æº–ç·šBCã§æ±ºå®šã™ã‚‹æ”¾ç‰©ç·šã‚’æã。\\ - 実際ã«ã¯ï¼Œï¼’次関数 $y=x^2$ã®ã‚°ãƒ©ãƒ•ã‚’回転・平行移動ã—ã¦æã„ã¦ãŠã‚Šï¼Œå®šç¾©åŸŸã¯ï¼Œ$y=x^2$ã§ã®å®šç¾©åŸŸã¨è€ƒãˆã¦ã‚ˆã„。定義域ã¯çœç•¥ã™ã‚‹ã“ã¨ã‚‚ã§ãる。çœç•¥ã—ãŸã¨ãã®åˆæœŸå€¤ã¯[-5,5]\\ - -例:点Aを焦点,直線BCを準線ã¨ã™ã‚‹æ”¾ç‰©ç·šã‚’æã\\ -   \verb|Parabolaplot("1",[A,B,C]); |\\ -   \verb|Parabolaplot("1",[A,B,C],"[-5,5]");|  定義域を $-5 \leqq x \leqq 5$ ã¨ã™ã‚‹ã€‚\\ -  点(0,1)を焦点,直線$y=-1$を準線ã¨ã™ã‚‹æ”¾ç‰©ç·šã‚’æã\\ -   \verb|Parabolaplot("1",[[0,1],[-1,-1],[1,-1]]);|\\ - \\ -例:放物線上ã®ï¼’点ã§å¼•ã‹ã‚ŒãŸæŽ¥ç·šã¨æ”¾ç‰©ç·šã§å›²ã¾ã‚ŒãŸé ˜åŸŸã‚’斜線ã§æã。\\ - Cinderellaã®ä½œå›³ãƒ„ールã«ï¼Œç„¦ç‚¹ã¨æº–ç·šã§æ”¾ç‰©ç·šã‚’æãã‚‚ã®ãŒã‚る。ã¾ãŸï¼Œç‚¹ã®æ¥µç·šã‚’æãツールãŒã‚る。ã“れを利用ã™ã‚‹ã¨ï¼Œæ”¾ç‰©ç·šä¸Šã«ã¨ã£ãŸç‚¹ã‚’インシデントã«ã§ãã‚‹ã®ã§ï¼Œã‚¤ãƒ³ã‚¿ãƒ©ã‚¯ãƒ†ã‚£ãƒ–ã«å›³ã‚’変更ã™ã‚‹ã“ã¨ãŒã§ãる。ã“ã®Cinderellaã®ä½œå›³æ©Ÿèƒ½ã¨åˆã‚ã›ã¦ï¼Œæ¬¡ã®æ‰‹é †ã§å›³ã‚’æã。\\ - ã¾ãšï¼Œç„¦ç‚¹A(0,1)ã¨æº–ç·š$y=1$:BCを作図ã™ã‚‹ã€‚次ã«ã€Œç„¦ç‚¹ã¨æº–ç·šã§æ±ºã¾ã‚‹æ”¾ç‰©ç·šã€ãƒ„ールをé¸ã³ï¼Œç‚¹Aã¨ç›´ç·šBCを指定ã™ã‚‹ã¨ï¼Œæ”¾ç‰©ç·šãŒæã‹ã‚Œã‚‹ã€‚方程å¼ã§ã¯$y=\dfrac{1}{4}x^2$ã®æ”¾ç‰©ç·šã§ã‚る。\\ - 次ã«ï¼Œæ”¾ç‰©ç·šä¸Šã«ç‚¹D,Eã‚’ã¨ã‚‹ã€‚Cinderellaã®ä½œå›³æ©Ÿèƒ½ã‚’用ã„ã¦ã„ã‚‹ã®ã§ï¼Œã“ã®ï¼’点ã¯æ”¾ç‰©ç·šä¸Šã ã‘ã‚’å‹•ã‹ã™ã“ã¨ãŒã§ãる。(インシデント)\\ - モードメニューã®ã€Œç›´ç·šã€ã‹ã‚‰ã€Œç‚¹ã®æ¥µç·šã€ã‚’é¸ã³ï¼Œç‚¹Dã¨æ”¾ç‰©ç·šï¼Œç‚¹Eã¨æ”¾ç‰©ç·šã‚’é †ã«æŒ‡å®šã™ã‚‹ã¨æŽ¥ç·šãŒå¼•ã‹ã‚Œã‚‹ã€‚ãã®äº¤ç‚¹ã«ç‚¹ã‚’å–る。\\ - \\ -      \includegraphics[bb=0 0 964 826 , width=6cm]{Fig/parabolaplot.png}\\ - \\ - 以上ã§ä½œå›³ãŒã§ããŸã®ã§ï¼Œæ¬¡ã®ã‚¹ã‚¯ãƒªãƒ—トを書ã„ã¦å®Ÿè¡Œã™ã‚‹ã€‚ -\begin{verbatim} -  Parabolaplot("1",[A,B,C]); -  Lineplot([D,F]); -  Lineplot([E,F]); -  Listplot([E,F,D]); -  Hatchdata("1",["ii"],[["gr1para","s"],["sgEFD","n"]]); -\end{verbatim} - \\ - ã“ã‚Œã§ï¼Œæ¬¡å›³ãŒã§ãる。ã“ã®ã‚ã¨ï¼Œæ–‡å­—ãªã©ã¯é©å½“ã«è¿½åŠ ã™ã‚‹ã€‚\\ - \\ -           \input{Fig/parabolaplot} - \\ -\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} - \\ -\hypertarget{ovaldata}{} -\item[関数] Ovaldata(name, 点リスト,options) -\item[機能] 角を丸ãã—ãŸçŸ©å½¢ã‚’æã -\item[説明] 中心ã¨å¯¾è§’ã®ï¼‘点を指定ã—,角を丸ãã—ãŸçŸ©å½¢ã‚’æã\\ - optionsã¯ï¼Œè§’ã®è½ã¨ã—å…·åˆã¨ç·šç¨®ãªã©ã€‚デフォルトã¯0.2 \\ - -例:ã„ãã¤ã‹ã®ä¾‹ã‚’示ã™ã€‚ -\begin{verbatim} -  Ovaldata("1", [A,B]); -  Ovaldata("2", [C,D],[0]); -  Ovaldata("3", [E,F],[1,"dr,3"]); -  Ovaldata("4", [G,H],[1.5,"da"]); -\end{verbatim} - \input{Fig/ovaldata}\\ - \\ -\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} - -\hypertarget{htickmark}{} -\item[関数] Htickmark([横座標 , æ–¹å‘ , 文字]) -\item[機能] 横軸ã«ç›®ç››ã‚’書ã。 -\item[説明] Scilabã®ã¿ã§å®Ÿè¡Œã™ã‚‹ã€‚Cinderellaã®æç”»é¢ã«ã¯å映ã•ã‚Œãªã„。引数ã¯ä½ç½®ï¼ˆæ¨ªåº§æ¨™ï¼‰ï¼Œæ–¹å‘,文字。複数点ã®æƒ…報を[ ]内ã«ã¾ã¨ã‚ã¦è¨˜å…¥ã§ãる。\\ - -例 点$(2,\ 0)$ã®å—西å´ã«$2$を表示ã™ã‚‹ã€‚\\ -  \verb|Htickmark([2,"sw","2"]);|\\ - -例 -5ã‹ã‚‰5ã¾ã§ã®ç›®ç››ã‚’打ã¤ã€‚\\ - Cindyscriptã®ãƒªã‚¹ãƒˆå‡¦ç†ã‚’使ã£ã¦ï¼Œæ¬¡ã®ã‚ˆã†ã«å¼•æ•°ã®ãƒªã‚¹ãƒˆã‚’作ã£ã¦æ¸¡ã™ã€‚ -\begin{verbatim} -  memori=apply(-5..5,x,[x,"s",text(x)]); -  memori=flatten(remove(memori,[[0,"s","0"]])); -  Htickmark(memori); -\end{verbatim} - 1行目,apply ã®ã‚«ãƒƒã‚³å†…ã® -5..5 ã§ãƒªã‚¹ãƒˆ[-5,-4,-3,-2,-1,0,1,2,3,4,5] ãŒã§ãる。\\ - ãれを用ã„ã¦ï¼Œapplyã§[æ•°, "s",æ•°ã®æ–‡å­—] ã‹ã‚‰ãªã‚‹ãƒªã‚¹ãƒˆãŒã§ãる。text(x) ã¯xを文字ã«ã™ã‚‹é–¢æ•°ã€‚\\ - 2行目ã§ï¼Œã“ã®ãƒªã‚¹ãƒˆã‹ã‚‰ï¼Œ[0,"s","0"]を除ã,リストを平滑化ã™ã‚‹ã€‚\\ - çµæžœã¯æ¬¡ã®ã‚ˆã†ã«ãªã‚‹ã€‚\\ - -\input{Fig/htickmark}\\ - -\hypertarget{vtickmark}{} -\item[関数] Vtickmark([横座標 , æ–¹å‘ , 文字]) -\item[機能] 縦軸ã«ç›®ç››ã‚’書ã。 -\item[説明] Htickmarkã¨åŒæ§˜ã€‚縦軸ã«ç›®ç››ã‚’書ã。\\ - -例:点$(0,\ 1),\ (0,\ 2)$ã®è¥¿å´ã«$1,\ 2$を表示ã™ã‚‹ã€‚\\ -  \verb|Htickmark([1,"w","1",2,"w","2"]);|\\ -\\ - -\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} - -\hypertarget{implicitplot}{} -\item[関数] Implicitplot(name,å¼,xã®å®šç¾©åŸŸ,yã®å®šç¾©åŸŸ, options) -\item[機能] 陰関数ã®ã‚°ãƒ©ãƒ•ã‚’æã。 -\item[説明] 陰関数ã®å¼ã‚’与ãˆã¦ã‚°ãƒ©ãƒ•ã‚’æã。å¼ï¼Œå®šç¾©åŸŸã¨ã‚‚文字列。\\ - options ã¯ï¼Œ"r","m","Wait=n" ãŒæŒ‡å®šã§ãる。Wait ã®åˆæœŸå€¤ã¯10。\\ - "r","m"ã«é–¢ã—ã¦ã¯ï¼Œã‚ªãƒ—ションãªã—ã¾ãŸã¯ï¼Œâ€â€ ã®ã¨ã\\ -  i) データファイルãŒãªã‘ã‚Œã°ï¼Œæ–°ã—ã作る\\ -  ii) データファイルãŒæ—¢ã«ã‚ã‚Œã°ãれを読ã¿è¾¼ã‚€\\ - "m" ã®ã¨ã,強制的ã«ãƒ‡ãƒ¼ã‚¿ãƒ•ã‚¡ã‚¤ãƒ«ã‚’作り直ã™ã€‚\\ - "r" ã®ã¨ã,ã™ã§ã«ã‚るデータファイルを読ã¿è¾¼ã‚€ã€‚\\ - -例:楕円をæã„ã¦ï¼Œä¸­ã«ãƒãƒƒãƒã‚’ã‹ã‘る。 -\begin{verbatim} -  Implicitplot("1","x^2+2*y^2=4","x=[-2,2]","y=[-2,2]"); -  Hatchdata("1","i",["imp1"]); -\end{verbatim} - 注)ã“ã“ã§ï¼Œyã®å®šç¾©åŸŸã¯å®Ÿéš›ã‚ˆã‚Šåºƒãã¨ã£ã¦ã‚る。"y=[-1,1]" ã¨ã™ã‚‹ã¨ï¼Œä¸Šä¸‹ãŒæ¬ ã‘ãŸæ¥•å††ã«ãªã‚‹ã€‚曲線ã ã‘ãªã‚‰ãã‚Œã§ã‚ˆã„ãŒï¼Œãã®å ´åˆï¼Œé–‰æ›²ç·šã§ã¯ãªã„ã®ã§Hatchdata() ã§ç„¡ç”¨ã«æ™‚é–“ãŒã‹ã‹ã£ã¦ã—ã¾ã†ã®ã§è¦æ³¨æ„。\\ - \\ - -\hypertarget{letter}{}\item[関数] Letter([ä½ç½®, æ–¹å‘, 文字列]) -\item[機能] 文字列を表示ã™ã‚‹ -\item[説明] 「ä½ç½®ï¼ˆåº§æ¨™ï¼‰ã€ã¨æ–¹å‘ã§æŒ‡å®šã•ã‚ŒãŸå ´æ‰€ã«æ–‡å­—を書ã込む。\\ - ä½ç½®ï¼ˆåº§æ¨™ï¼‰ã¯ç‚¹ã®åå‰ã§æŒ‡å®šã™ã‚‹ã“ã¨ã‚‚ã§ãる。場所ã¯ä¸Šä¸‹å·¦å³ä¸­å¤®ï¼ˆ n/s/w/e/c )ã®æ–¹å‘ã§è¡¨ã™ã€‚(n/s/w/e ã¯æ±è¥¿å—北ã®è¨˜å·ï¼‰\\ - \\ -       \input{Fig/letter4}\\ - 指定ä½ç½®ã‹ã‚‰ã®è·é›¢ã‚’,数値ã§ä¸Žãˆã‚‹ã“ã¨ã‚‚ã§ã,e2, e3 㯠e より少ã—離ã—ã¦ç½®ã。\\ - 複数ã®æ–‡å­—列をリストã®å½¢ã«ã—ã¦æ¸¡ã™ã“ã¨ãŒã§ãる。\\ - 注)導関数ã®è¨˜å·$'$ã¯ï¼Œæ•°å¼ãƒ¢ãƒ¼ãƒ‰ï¼ˆ\$ ã§ã¯ã•ã‚€ï¼‰ã§$`$(ãƒãƒƒã‚¯ã‚¯ã‚¦ã‚©ãƒ¼ãƒˆï¼‰ã‚’用ã„る。\\ - -例:座標 (2,1) ã®å—æ±ã«ï¼°ã‚’表示\\ -    \verb|Letter([2,1] ,"se","P");|\\ -  点Cを中央ã¨ã—ã¦ï¼£ã‚’表示\\ -    \verb|Letter(C ,"c", "C");|\\ -  点Aã®å—西ã«A,Eã®å—ã«æ•°å¼ã‚’表示\\ -    \verb|Letter([A,"sw","A",E,"s","$ f(x)=\frac{1}{4} x^2 $"]);| \\ - \\ -%\input{Fig/letter3} - -\hypertarget{letterrot}{}\item[関数] Letterrot(座標, æ–¹å‘ベクトル,移動é‡, 文字列) -\item[機能] 文字列を回転ã—ã¦è¡¨ç¤ºã™ã‚‹ -\item[説明] 座標ã§ç¤ºã•ã‚ŒãŸä½ç½®ã«ï¼Œæ–¹å‘ベクトルã§æŒ‡å®šã•ã‚ŒãŸå‘ãã«å›žè»¢ã—ã¦æ–‡å­—を書ã込む。\\ - 第3引数ã¯å¾®å°ç§»å‹•é‡ã§ï¼Œç•¥ã™ã“ã¨ã‚‚ã§ãる。\\ - A(1,1),B(3,2),C(0,2) ã®ã¨ã,次ã®ã‚¹ã‚¯ãƒªãƒ—トã¯åŒã˜çµæžœã«ãªã‚‹ã€‚ -\begin{verbatim} -   Letterrot([0,2],[2,1],2,5,"AB"); -   Letterrot([0,2],B-A,2,5,"AB"); -   Letterrot(C,B-A,2,5,"AB"); -   Letterrot(C,B-A,"t2n5","AB"); -\end{verbatim} - 移動é‡ã‚’ç•¥ã—ã¦\\ -   \verb|Letterrot(C,B-A,"AB");|\\ - ã¨ã™ã‚‹ã“ã¨ã‚‚ã§ãる。ã“ã®å ´åˆã¯ï¼Œå¾®å°ãªç§»å‹•ã¯ã•ã‚Œãªã„。\\ - - -\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} - -\hypertarget{lineplot}{} -\item[関数] Lineplot(name , 2点ã®ãƒªã‚¹ãƒˆ , options) -\item[機能] 2点ã®ãƒªã‚¹ãƒˆã§ç¤ºã•ã‚ŒãŸç‚¹ã‚’çµã¶ç›´ç·šã‚’æã。プロットデータåã®é ­éƒ¨ã¯ ln -\item[説明] 2点ã®ãƒªã‚¹ãƒˆã¯åº§æ¨™ã¾ãŸã¯å¹¾ä½•è¦ç´ ã®åå‰ã§ä¸Žãˆã‚‹ã€‚\\ -  options ã¯æ¬¡ã®é€šã‚Šã€‚\\ -   線種   "dr, n" , "da,m,n" , "do,m,n"\\ -   "+"   åŠç›´ç·šã‚’æã。\\ -  "dr" , "da" , "do" 㨠"+" ã¯ãƒªã‚¹ãƒˆã«ã—ã¦ä¸¡æ–¹æŒ‡å®šã™ã‚‹ã“ã¨ãŒã§ãる。\\ - 点ã®ãƒªã‚¹ãƒˆãŒï¼Œåº§æ¨™ã§ã¯ãªã幾何è¦ç´ åã®ãƒªã‚¹ãƒˆã®å ´åˆã¯ï¼Œnameã¯çœç•¥ã§ãる。\\ - ã„ãã¤ã‹ä¾‹ã‚’示ã™ã€‚\\ -   å„座標をçµã¶ç›´ç·šã‚’引ã\\ -      \verb|Lineplot("1",[[0,0],[1,2]])| \\ -   Cinderellaã®æ画ツールã§ï¼’点A,Bã‚’ã¨ã£ã¦ãŠã,直線ABを引ã\\ -     \verb|Lineplot([A,B]);| \\ - optionã®åƒãã®ä¾‹\\ -   \verb|Lineplot([A,B],["dr,0.5","+"]);|  Aを端点ã¨ã™ã‚‹åŠç›´ç·šã‚’引ã\\ -   \verb|Lineplot([C,D],["dr,2"]);|    直線CDを太ã•2ã§æã\\ -   \verb|Lineplot([E,F],["da"]);|     直線EFã‚’ç ´ç·šã§æã\\ -   \verb|Lineplot([G,H],["do"]);|     直線GHを点線ã§æã\\ - çµæžœã¯ï¼Œæ¬¡å›³å·¦ä¸Šã‹ã‚‰ã€‚\\ - -      \input{Fig/lineplot}\\ - -\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} -\newpage - -\hypertarget{listplot}{} -\item[関数] Listplot(name , 点ã®ãƒªã‚¹ãƒˆ , options) -\item[機能] 点ã®ãƒªã‚¹ãƒˆã§ç¤ºã•ã‚ŒãŸç‚¹ã‚’çµã¶ã€‚プロットデータåã®é ­éƒ¨ã¯ sg -\item[説明] 点ã®ãƒªã‚¹ãƒˆã¯åº§æ¨™ã¾ãŸã¯å¹¾ä½•è¦ç´ åã®ãƒªã‚¹ãƒˆã§ä¸Žãˆã‚‹ã€‚点ãŒï¼Œåº§æ¨™ã§ã¯ãªã幾何è¦ç´ åã®å ´åˆã¯ï¼Œnameã¯çœç•¥å¯ \\ - プロットデータã®åå‰ã¯ï¼Œ"sg" ã«å¼•æ•°ã® name を付加ã—ãŸã‚‚ã®ã¨ãªã‚‹ã€‚\\ - options ã¯æ¬¡ã®é€šã‚Šã€‚\\ -  線種   "dr, n" , "da,m,n" , "do,m,n" -\begin{tabbing} -1234567890123456789012345678901234\=\kill - optionsã®ä½¿ç”¨ä¾‹\\ -  \verb|Listplot([A,B]);|      \>線分ABã‚’æã。太ã•ã¯ãƒ‡ãƒ•ã‚©ãƒ«ãƒˆã€‚\\ -  \verb|Listplot([C,D],["dr,2"]);|   \>線分ABã‚’æã。太ã•ï¼’\\ -  \verb|Listplot([E,F],["da"]);|    \>線分ABã‚’ç ´ç·šã§æã\\ -  \verb|Listplot([G,H],["da,3,1"]);|  \>線分ABã‚’ç ´ç·šã§æã。線を長ã\\ -  \verb|Listplot([K,L],["da,1,3"]);|   \>線分ABã‚’ç ´ç·šã§æã。間隔を空ã‘ã‚‹\\ -  \verb|Listplot([M,N],["do"]);|   \>線分ABを点線ã§æã。\\ -  \verb|Listplot([O,P],["do,3"]);|   \>線分ABを点線ã§æã。間隔を空ã‘ã‚‹\\ -  \verb|Listplot([Q,R],["do,3,3"]);|  \>線分ABを点線ã§æã。間隔を空ã‘ã¦å¤ªã\\ - çµæžœã¯æ¬¡å›³å·¦ã‹ã‚‰ã€‚ -\end{tabbing} -  \input{Fig/listplot3} - - 例 : Cinderellaã®ä½œå›³ãƒ„ールã§ä¸‰è§’å½¢ABCã‚’æã„ã¦ãŠã。 -\begin{verbatim} -     Listplot([A,B,C,A]); -     Addax(0); -\end{verbatim} -    \input{Fig/listplot1}\\ -   å„座標を頂点ã¨ã™ã‚‹ä¸‰è§’形をæã\\ -    \verb|Listplot("1",[[0,0],[2,0],[1,2],[0,0]]);| -\\ - プロットデータã¯ç‚¹ã®åº§æ¨™ã®ãƒªã‚¹ãƒˆã§ã‚る。ã—ãŸãŒã£ã¦ï¼Œãƒ—ロットデータを自作ã—ã¦Listplot()ã§è¡¨ç¤ºã™ã‚‹ã“ã¨ãŒã§ãる。\\ - \\ -例:有é™ãƒ•ãƒ¼ãƒªã‚¨ç´šæ•°å±•é–‹\\ -         \[\cfrac{\pi}{2}+\sum_{n=0}^{30} \cfrac{1-(-1)^n}{n}\sin nx\] -次ã®ã‚ˆã†ã«Cindyscriptã§é–¢æ•°ã‚’定義ã—,プロットデータpd を作ã£ã¦å¼•æ•°ã«æ¸¡ã™ã€‚ -\begin{verbatim} - f(x):=( -  s=pi/2; -  repeat(30,n,s=s+(1-(-1)|^n)/n*sin(n*x)); - ); - pd=apply(0..200,t, -  x=-2*pi+t*4*pi/200; -  [x,f(x)]; - ); - Listplot("1",pd); - Expr([[-2*pi,-0.5],"s","-2\pi",[-pi,-0.5],"s","-\pi",[pi,-0.5],"s", -   "\pi",[2*pi,-0.5],"s","2\pi",[0,pi],"w2","\pi"]); -\end{verbatim} - \\ -\begin{center} -\input{Fig/fourier} -\end{center} - \\ - リストã®é•·ã•ã«ã¯åˆ¶é™ãŒã‚ã‚‹ãŸã‚,ã‚ã¾ã‚Šé•·ã„リストを用ã„ãŸã‚Šï¼Œä½•åº¦ã‚‚用ã„ãŸã‚Šã™ã‚‹ã“ã¨ãŒã§ããªã„。ãŸã¨ãˆã°ï¼Œã‚¿ãƒ¼ãƒˆãƒ«ã‚°ãƒ©ãƒ•ã‚£ã‚¯ã‚¹ã‚’用ã„ãŸã‚·ã‚§ãƒ«ãƒ”ンスキーã®ã‚®ãƒ£ã‚¹ã‚±ãƒƒãƒˆã§ã¯ï¼Œæ¬¡ã®ã‚µã‚¤ã‚ºãらã„ã¯å¯èƒ½ã ãŒï¼Œæ¤ç‰©ã®æˆé•·ãƒ¢ãƒ‡ãƒ«ã§ã¯åˆ†å²ãŒå¤šã„ãŸã‚ã‚ã¾ã‚Šå¤§ããªå›³ã¯ã§ããªã„。スクリプトを工夫ã—ã¦ï¼Œ200ãらã„ãšã¤ã®ãƒªã‚¹ãƒˆã«åˆ†å‰²ã™ã‚‹ã€‚\\ -      \input{Fig/listplot2} - \\ - \\ -\hypertarget{mesegmets}{} -\item[関数] Mksegments() -\item[機能] 幾何線分ã®ã™ã¹ã¦ã®PD ã‚’ä½œæˆ -\item[説明] Ketinit() ã®ç›´å¾Œã«ç½®ãã“ã¨ã«ã‚ˆã‚Šï¼ŒCinderellaã®ä½œå›³ãƒ„ールã§æã„ãŸã™ã¹ã¦ã®ç·šåˆ†ã‚’ãã®ã¾ã¾ãƒ—ロットデータã¨ã™ã‚‹ã€‚ãŸã¨ãˆã°ï¼Œç·šåˆ†ABを作るã¨ï¼Œãƒ—ロットデータsgABãŒä½œæˆã•ã‚Œã‚‹ã€‚ãã®å¾Œï¼Œã‚¤ãƒ³ã‚¹ãƒšã‚¯ã‚¿ã§ç‚¹Bã®è­˜åˆ¥åを変更(ãŸã¨ãˆã°Qã«ï¼‰ã™ã‚‹ã¨ï¼Œãƒ—ロットデータåも変更ã•ã‚Œã‚‹ã€‚線分ã¯ã™ã§ã«æã‹ã‚Œã¦ã„ã¦ã‚‚よã„。\\ - -\hypertarget{mkcircle}{} -\item[関数] Mkcircles() -\item[機能] 幾何円ã®ã™ã¹ã¦ã®PD ã‚’ä½œæˆ -\item[説明] Ketinit() ã®ç›´å¾Œã«ç½®ãã“ã¨ã«ã‚ˆã‚Šï¼ŒCinderellaã®ä½œå›³ãƒ„ールã®ã€Œå††ã‚’加ãˆã‚‹ã€ã§æã„ãŸã™ã¹ã¦ã®å††ã‚’ãã®ã¾ã¾ãƒ—ロットデータã¨ã™ã‚‹ã€‚ãŸã¨ãˆã°ï¼Œä¸­å¿ƒA,円周上ã®ç‚¹ã‚’Bã¨ã—ãŸå††ã‚’作るã¨ï¼Œãƒ—ロットデータcrABãŒä½œæˆã•ã‚Œã‚‹ã€‚ãã®å¾Œï¼Œã‚¤ãƒ³ã‚¹ãƒšã‚¯ã‚¿ã§ç‚¹Bã®è­˜åˆ¥åを変更(ãŸã¨ãˆã°Qã«ï¼‰ã™ã‚‹ã¨ï¼Œãƒ—ロットデータåも変更ã•ã‚Œã‚‹ã€‚円ã¯ã™ã§ã«æã‹ã‚Œã¦ã„ã¦ã‚‚よã„。\\ -\\ - -\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} - -\hypertarget{mkbeziercrv}{} -\item[関数] Mkbeziercrv(åå‰,[[節点リスト,制御点リスト],[節点リスト,制御点リスト],...],\\ -\hfill[オプション] ) -\item[機能] 複数ã®ãƒ™ã‚¸ã‚¨æ›²ç·šã‚’æã -\item[説明] å˜ç‹¬ã®ãƒ™ã‚¸ã‚¨æ›²ç·šã®å ´åˆã¯ãƒªã‚¹ãƒˆã®å¤–å´ã®[ ]ã¯ãªãã¦ã‚‚よã„。\\ -Mkbeziercrv|(åå‰ï¼Œ[節点リスト,制御点リスト],[オプション] ) ã¯\\ -Bezier(åå‰ï¼Œç¯€ç‚¹ãƒªã‚¹ãƒˆï¼Œåˆ¶å¾¡ç‚¹ãƒªã‚¹ãƒˆï¼Œ[オプション] ) ã¨åŒã˜ã€‚ - - -\vspace{2mm} - -例:\verb|Mkbeziercrv("n",[[A,B,C],[[D],[E,F]]]);| ã¯\\ -  \verb|Bezier("n",[A,B,C],[[D],[E,F]]);| ã¨åŒã˜ã€‚\\ -  曲線ã®åå‰ãŒ bzn ã§ã¯ãªã bzn1 ã¨ãªã‚‹ã€‚ - -\vspace{2mm} - -\begin{layer}{150}{0} -\putnotese{30}{45}{bz51} -\putnotese{90}{45}{bz52} -\putnotese{0}{5}{\input{Fig/checkmc1}} -\end{layer} - -複数ã®å ´åˆã¯ï¼Œ\verb|[ [ptlist1,ctrlist1], [ptlist2,ctrlist2],... ]| - -\verb|Mkbeziercrv("5",[[[A,B,C],[[D],[E,F]]],[[G,H,K,L],[[M],[N,O],[P]]]]);| - -\vspace{40mm} -\begin{verbatim} -ptlist1=[A,B,C];ctrlist1=[[D],[E,F]];list1=[ptlist1,ctrlist1]; -ptlist2=[G,H,K,L];ctrlist2=[[M],[N,O],[P]];list2=[ptlist2,ctrlist2]; -list=[list1,list2]; -Mkbeziercrv("5",list); -\end{verbatim} -ãªã©ã¨ã—ã¦ã‚‚åŒã˜ã€‚ - \\ - \\ -\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} - -\hypertarget{mkbezierptcrv}{} -\item[関数] Mkbezierptcrv(節点リストptlist,[オプション] ) -\item[機能] ベジエ曲線をæã -\item[説明] 制御点ã¯ï¼Œè‡ªå‹•çš„ã«é…ç½®ã•ã‚Œã‚‹ã€‚ãã®å¾Œï¼Œç¯€ç‚¹ã‚„制御点を動ã‹ã—ã¦ï¼Œ -æããŸã„ã‚‚ã®ã«ã™ã‚‹ã€‚ - -複数ã®å ´åˆã¯ã€€[ ptlist1, ptlist2.... ] - -åå‰ã¯ï¼ŒA ã‹ã‚‰é †ã«è‡ªå‹•çš„ã«ã¤ã‘る。 - -オプション - -"Deg=...â€ã€€æ¬¡æ•°æŒ‡å®šãŒã§ãる。(デフォルトã¯ï¼“次) - -"Num=..." å„区間ã®åŒºé–“数(分点数ー1)を指定ã§ãる。(デフォルトã¯10) - -\vspace{5mm} - -例: - -\begin{layer}{150}{0} -\putnotese{50}{15}{bzA} -\putnotese{50}{-5}{\input{Fig/checkb8}} -\end{layer} - -\verb|Mkbezierptcrv([A,B,C]);| - - -\vspace{25mm} - -\begin{layer}{150}{0} -\putnotese{50}{15}{bzA} -\putnotese{60}{-10}{\input{Fig/checkb11}} -\end{layer} - -ãã®å¾Œï¼Œç¯€ç‚¹ã‚„制御点を動ã‹ã—ã¦ï¼Œ - -æããŸã„ã‚‚ã®ã«ã™ã‚‹ã€‚ - -\vspace{30mm} - -\begin{layer}{150}{0} -\putnotese{80}{25}{bzA} -\putnotese{50}{-5}{\input{Fig/checkb9}} -\end{layer} - -\verb|Mkbezierptcrv([A,B,C],["Deg=2"]);| - -Deg=2 ã¨ã™ã‚‹ã¨ï¼’次ã«ãªã‚‹ã€‚ - -制御点ã¯å„区間ã«ï¼‘個ãšã¤ã§ãる。 - -\vspace{20mm} - -\begin{layer}{150}{0} -\putnotese{20}{45}{bzA} -\putnotese{80}{45}{bzB} -\putnotese{0}{10}{\input{Fig/checkb10}} -\end{layer} - -複数ã®å ´åˆã¯ã€€[ ptlist1, ptlist2.... ] - -\verb|Mkbezierptcrv([[A,B,C],[D,E,F,G]]);| - -\vspace{25mm} - \\ - - -\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} -\hypertarget{paramark}{} -\item[関数] Paramark(点リスト , options) -\item[機能] 点リスト[A,B,C]ã§ç¤ºã•ã‚ŒãŸè§’ã«å¹³è¡Œå››è¾ºå½¢ã®å½¢çŠ¶ã®è§’ã®å°ã‚’ã¤ã‘る。 -\item[説明] optionsã¯æ¬¡ã®é€šã‚Šã€‚\\ -  数値   角ã®å°ã®å¤§ãã•ã€‚デフォルトã¯ï¼‘\\ -  線種   "dr, n" , "da,m,n" , "do,m,n"\\ -  "Expr=文字" : 文字を入れる\\ -  "Expr=ä½ç½® , 文字" : ä½ç½®ã‚’指定ã—ã¦æ–‡å­—を入れる。ä½ç½®ã¯é ‚点ã‹ã‚‰ã®è·é›¢ã€‚\\ - -例:三角形ã®å†…角ã«å°ã‚’ã„れ,文字を書ã込む。 -\begin{verbatim} -   Paramark([B,A,C]); -   Paramark([C,B,A],[3,"Expr=B"]); -   Paramark([A,C,B],["dr,2","Expr=2,C"]); -\end{verbatim} - \input{Fig/paramark}\\ - -※角ã®å°ã«ã¯å¼§ã®å½¢çŠ¶ã®ã‚‚ã®ã‚‚ã‚る。Anglemark() ã‚’å‚ç…§ã®ã“ã¨ã€‚\\ - -\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} - -\hypertarget{paramplot}{} -\item[関数] Paramplot(name , å¼ , 変数ã¨å®šç¾©åŸŸ,options) -\item[機能] 媒介変数表示ã®æ›²ç·šã‚’æã。プロットデータã®é ­éƒ¨ã¯ gp -\item[説明] å¼ã¯""ã§ããã£ãŸåª’介変数表示ã®ãƒªã‚¹ãƒˆã§ä¸Žãˆã‚‹ã€‚\\ - 定義域も " " ã§ããã£ã¦æ–‡å­—列ã¨ã—,t=ã«ç¶šã„ã¦ãƒªã‚¹ãƒˆã§æŒ‡å®šã™ã‚‹ã€‚\\ - options ã¯ç·šç¨®ãŒæœ‰åŠ¹\\ - -例:サイクロイド曲線をæã。\\ -  \verb|Paramplot("1","[t-sin(t),1-cos(t)]","t=[0,2*pi]");|\\ - -\input{Fig/paramplot1}\\ -\begin{verbatim} - Deffun("fx(t)", ["regional(x)","x=t-sin(t)","x"]); - Deffun("fy(t)", ["regional(y)","y=1-cos(t)","y"]); - Paramplot("1","[fx(t),fy(t)]","t=[0,2*pi]"); -\end{verbatim} -ã¨ã™ã‚Œã°ï¼Œé–¢æ•°å®šç¾©ã‚‚ Scilab ã«å¼•ã継ãŒã‚Œã‚‹ã€‚\\ - \\ -optionsã®ä½¿ç”¨ä¾‹ã€‚å·¦ã‹ã‚‰ï¼Œãƒ‡ãƒ•ã‚©ãƒ«ãƒˆï¼Œå¤ªç·šï¼Œç ´ç·šï¼Œç‚¹ç·šã®æ¥•å†† -\begin{verbatim} - Paramplot("1","[2*cos(t),sin(t)]","t=[0,2*pi]"); - Paramplot("2","[2*cos(t)+5,sin(t)]","t=[0,2*pi]",["dr,2"]); - Paramplot("3","[2*cos(t),sin(t)+3]","t=[0,2*pi]",["da"]); - Paramplot("4","[2*cos(t)+5,sin(t)+3]","t=[0,2*pi]",["do"]); -\end{verbatim} -\input{Fig/paramplot2} -\\ - -\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} - -\hypertarget{plotdata}{} -\item[関数] Plotdata(name , å¼ , 変数ã¨å®šç¾©åŸŸ , options) -\item[機能] 関数ã®ã‚°ãƒ©ãƒ•ã‚’æã。プロットデータã®åå‰ã¯ï¼Œgr -\item[説明] å¼ã§è¡¨ã•ã‚ŒãŸé–¢æ•°ã®ã‚°ãƒ©ãƒ•ã‚’,指定ã•ã‚ŒãŸå®šç¾©åŸŸã§æã。\\ - å¼ï¼Œå®šç¾©åŸŸã¯ " " ã§ããã£ã¦æ–‡å­—列ã¨ã™ã‚‹ã€‚定義域ã¯x=ã«ç¶šã„ã¦ãƒªã‚¹ãƒˆã§æŒ‡å®šã€‚\\ - options ã¯æ¬¡ã®é€šã‚Šã€‚ -\begin{tabbing} -12345678901234567890123\=\kill -  線種   \>"dr, n" , "da,m,n" , "do,m,n"\\ -  "Num=数値"    \>æ画時ã®åˆ†å‰²æ•°\\ -  "Dis=数値"    \>値ãŒæŒ‡å®šæ•°å€¤ä»¥ä¸Šã‚¸ãƒ£ãƒ³ãƒ—ã™ã‚‹å ´åˆã¯ä¸é€£ç¶šç‚¹ã¨ã¿ãªã™ã€‚\\ -  "Exc=数値リスト \>リストã§ç¤ºã•ã‚ŒãŸç‚¹ã¯é™¤å¤–ã™ã‚‹ã€‚\\ -  "Exc=関数"   \>関数ã®é›¶ç‚¹ã¯é™¤å¤–ã™ã‚‹ã€‚\\ -\end{tabbing} - 例:2次関数 $f(x)=x^2-2x$ ã®ã‚°ãƒ©ãƒ•ã‚’定義域指定ãªã—ã§æã。\\ -   \verb|Plotdata("1","x^2-2*x","x");|\\ - \\ -  \input{Fig/plotdata1} - \\ - \\ - 例:三角関数 $2\sin \left(2x-\dfrac{\pi}{4} \right)$  ã®ã‚°ãƒ©ãƒ•ã‚’,定義域 $0 \leqq x \leqq 2 \pi$ã§æã。\\ -    \verb|Plotdata("3","2*sin(2*x-pi/4)","x=[0,2*pi]");|\\ - \\ -    \input{Fig/plotdata2} - \\ - CindyScript ã§ã¯ï¼Œplot( å¼ , 定義域 ); ã§æããŒï¼Œ \ketcindy を用ã„ã‚‹ã¨ãã¯ï¼ŒCindyScript ã®plot 関数ã®ã‹ã‚ã‚Šã«ï¼Œã“ã®Plotdata を使ãˆã°ã‚ˆã„。\\ - 軸ã«æ•°å­—を入れるã®ã§ã‚ã‚Œã°ï¼ŒLetter() を用ã„る。\\ - -optionsã®ä½¿ç”¨ä¾‹\\ - \verb|Plotdata("1","sin(x)","x");| $f(x)=$sin$x$ ã®ã‚°ãƒ©ãƒ•ã‚’æã(デフォルト)\\ - \verb|Plotdata("2","sin(x)+1","x",["dr,2"]);| åŒã˜ã,太ã•ï¼’ã§æã\\ - \verb|Plotdata("3","sin(x)+2","x",["da"]);|  åŒã˜ã,破線ã§æã\\ - \verb|Plotdata("4","sin(x)+3","x",["do"]);|  åŒã˜ã,点線ã§æã\\ -çµæžœã¯æ¬¡å›³ä¸Šã‹ã‚‰ã€‚\\ - \\ -     \input{Fig/plotdata3}\\ - - Num=分割数ã®æŒ‡å®š\\ - グラフã®æç”»ã¯ï¼ŒåŒºé–“を分割ã—ã¦é–¢æ•°å€¤ã‚’ã¨ã‚Šï¼Œå„点をçµã¶ã¨ã„ã†é€šå¸¸ã®æ–¹æ³•ã«ã‚ˆã£ã¦ã„る。Nã®æŒ‡å®šã¯ã“ã®åˆ†å‰²æ•°ã®æŒ‡å®šã§ã‚る。デフォルトã¯50。æ€ã†ã‚ˆã†ãªçµæžœãŒå¾—られãªã„å ´åˆã¯ã“ã®å€¤ã‚’大ãã指定ã™ã‚‹ã¨ã‚ˆã„。\\ - 下図左ã¯ãƒ‡ãƒ•ã‚©ãƒ«ãƒˆï¼Œå³ã¯ Num=200 ã¨ã—ãŸã€‚\\ - -    \input{Fig/plotdata4}\\ - - ä¸é€£ç¶šç‚¹ã®æŒ‡å®š\\ - Dis オプションã«ã‚ˆã‚Šï¼Œå€¤ãŒã‚¸ãƒ£ãƒ³ãƒ—ã™ã‚‹ä¸é€£ç¶šç‚¹ã‚’ç·šã§çµã°ãªã„よã†ã«ã™ã‚‹ã€‚Numオプションã¨åˆã‚ã›ã¦ä½¿ã†ã¨åŠ¹æžœãŒä¸ŠãŒã‚‹ã€‚\\ - - 例:$f(x)=$tan$x$ ã®ã‚°ãƒ©ãƒ•ã¯ï¼Œãã®ã¾ã¾ã§ã¯ã‚ãŸã‹ã‚‚漸近線ãŒæã‹ã‚ŒãŸã‚ˆã†ã«ãªã‚‹ãŒï¼Œã“ã‚Œã¯ï¼Œä¸é€£ç¶šç‚¹ã‚’ãã®ã¾ã¾çµã‚“ã§ã„ã‚‹ãŸã‚ã§ã‚る。 -\begin{verbatim} - Deffun("f(x)", ["regional(y)","y=tan(x)","y"]); - Plotdata("1","f(x)","x",["Num=200","Dis=50"]); -\end{verbatim} -ã§æ¼¸è¿‘ç·šãŒæã‹ã‚Œãªããªã‚‹ã€‚\\ - -ã€€ä¾‹ï¼šã‚¬ã‚¦ã‚¹è¨˜å· [$x$] ã§è¡¨ã•ã‚Œã‚‹é–¢æ•°ã®ã‚°ãƒ©ãƒ•ã¯ï¼Œä¸é€£ç¶šãªéšŽæ®µçŠ¶ã«ãªã‚‹ã€‚ã“ã®é–¢æ•°ã¯å¤©äº•é–¢æ•° floor()ã§ã‚ã‚‹ã®ã§ï¼Œ -\begin{verbatim} - Deffun("f(x)", ["regional(y)","y=floor(x)","y"]); - Plotdata("1","f(x)","x",["Num=100","Dis=0.9"]); -\end{verbatim} -ã§ãã‚Œã„ã«æã‘る。\\ - -       \input{Fig/plotdata5}\\ - - 関数ã«æ–‡å­—ä¿‚æ•°ãŒã¤ã„ã¦ãŠã‚Šï¼Œæ–‡å­—ä¿‚æ•°ã®å€¤ã‚’変化ã•ã›ãªãŒã‚‰ã‚°ãƒ©ãƒ•ã‚’æãã«ã¯ï¼ŒAssign を使ã†ã€‚\\ - \\ - 例:直線 $y=bx-b^2$ ã®ä¿‚æ•°$b$を変化ã•ã›ã¦æã,包絡線をã†ã‹ã³ã‚ãŒã‚‰ã›ã‚‹ã€‚ -\begin{verbatim} -    repeat(50,t, -      cb=t/5-5; -      Plotdata(text(t),Assign("b*x-b\verb|^|2","b",cb),"x");\\ -    ); -\end{verbatim} - \\ -      \input{Fig/assign}\\ - -\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} - -\hypertarget{pointdata}{} -\item[関数] Pointdata(name , 点リスト , optionss) -\item[機能] 点を作ã£ã¦Scilabã«ç‚¹ã®ãƒªã‚¹ãƒˆ Pointdata(list)を出力ã™ã‚‹ã€‚ -\item[説明] 点データを作æˆã™ã‚‹ã€‚ã“ã®ç‚¹ã¯ï¼Œå¹¾ä½•è¦ç´ ã§ã¯ãªã„。プロットデータã®é ­éƒ¨ã¯ pt\\ - 例:\verb|Pointdata("1",[[1,2],[-2,3]]);|\\ -    2ã¤ã®ç‚¹ãƒ‡ãƒ¼ã‚¿ã‚’作る。Cinderellaã®æç”»é¢ã§ã¯ç·‘ã®ç‚¹ã§è¡¨ç¤ºã•ã‚Œã‚‹ã€‚\\ -   \verb|Pointdata("1",[A,B]);|\\ -    作図ã—ãŸç‚¹A,Bã«ã¤ã„ã¦ï¼Œç‚¹ãƒ‡ãƒ¼ã‚¿ã‚’作る。\\ -    Cinderellaã®æç”»é¢ä¸Šã§ã¯æ—¢å­˜ã®ç‚¹A,Bã«ç·‘ã®ç‚¹ãŒé‡ãªã£ã¦è¡¨ç¤ºã•ã‚Œã‚‹ã€‚\\ -   \verb|Pointdata("1",A,["size=4"]);|\\ -    Aã®ä½ç½®ã«å¤§ãã•ï¼”ã§ç‚¹ã‚’作る。Ptsize(Setpt) ã®é …ã‚’å‚ç…§ã®ã“ã¨ã€‚\\ -   \verb|Pointdata("1",[A,B],[0]);|\\ -    点データを作り,TeXã«ã‚ªãƒ—ション0(白抜ã)ã§æã\\ -   \verb|Pointdata("1",[[3,4],[5,6]],["notex"]);|\\ -    点データを作るãŒï¼ŒTeXã«ã¯æã‹ãªã„\\ -   \verb|Pointdata("1",[A,B],["nodisp"]);|\\ -    点データを作らãªã„.(戻り値ã¨ã—ã¦è¿”ã™ï¼‰\\ - -  生æˆã•ã‚Œã‚‹ãƒªã‚¹ãƒˆã¯ï¼Œåº§æ¨™ã®ãƒªã‚¹ãƒˆãŒãƒã‚¹ãƒˆã—ãŸå½¢ã«ãªã£ã¦ã„る。\\ -  ãã®å†…容ã¯ï¼Œprintln()を用ã„ã¦ã‚³ãƒ³ã‚½ãƒ¼ãƒ«ã«è¡¨ç¤ºã™ã‚‹ã“ã¨ãŒã§ãる。ãŸã¨ãˆã° - \begin{verbatim} -   Pointdata("1",[[1,2],[3,4],[6,2]]); -   println(pt1); -\end{verbatim} -  ã§ï¼Œã‚³ãƒ³ã‚½ãƒ¼ãƒ«ã«æ¬¡ã®ã‚ˆã†ã«è¡¨ç¤ºã•ã‚Œã‚‹ã€‚ -\begin{verbatim} -   generate pointdata pt1 -   [[[1,2]],[[3,4]],[[6,2]]] -\end{verbatim} - ãƒã‚¹ãƒˆã•ã‚ŒãŸãƒªã‚¹ãƒˆã¯ï¼ŒCindyscriptã® flatten() 関数を利用ã—ã¦å¹³æ»‘化(ãƒã‚¹ãƒˆã‚’解除)ã™ã‚‹ã“ã¨ã«ã‚ˆã‚Šï¼ŒListplot()ã§åˆ©ç”¨ã™ã‚‹ã“ã¨ãŒã§ãる。\\ - \\ - 例:\verb|Ptsize(3);|\\ -   \verb|Pointdata("1",[[1,2],[3,4],[6,2]]);|\\ -   \verb|Listplot("1",flatten(pt1));|\\ -  ã“ã‚Œã§ï¼Œç¯€ç‚¹ã‚’明示ã—ãŸæŠ˜ã‚Œç·šãŒæã‘る。(下図左)\\ -    \verb|Listplot("1",[[1,2],[3,4],[6,2]]);|\\ -   ã§ã¯ç·šåˆ†ã®ã¿ãŒæã‹ã‚Œã‚‹ã€‚(下図å³ï¼‰\\ -    \input{Fig/pointdata}\\ -\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} - -\hypertarget{polygonplot}{} -\item[関数] Polygonplot(name , 点リスト , æ•´æ•°,optionss) -\item[機能] 2点を指定ã—ã¦æ­£å¤šè§’形をæã。 -\item[説明] 円ã«å†…接ã™ã‚‹æ­£å¤šè§’形をæã,頂点ã®å¹¾ä½•ç‚¹ã‚’作る。\\ - 例:\verb|Polygonplot("1",[A,B],12);|\\ - 点Aを中心ã¨ã—,åŠå¾„ABã®å††å‘¨ä¸Šã«ï¼Œç‚¹Bã‹ã‚‰ã‚¹ã‚¿ãƒ¼ãƒˆã—ã¦æ­£å二角形ã®é ‚点B1〜B11ã‚’å時計回りã«ä½œã‚Šï¼Œã“れをçµã‚“ã æ­£å¤šè§’形をæã。頂点ã¯å¹¾ä½•ç‚¹ã€‚\\ - 整数ã§ãªã„数を指定ã—ãŸå ´åˆã¯ï¼Œãã¡ã‚“ã¨é–‰ã˜ãªã„折れ線ãŒæã‹ã‚Œã‚‹ã€‚\\ - - -\hypertarget{putintersect}{} -\item[関数] Putintersect(点å , PD1 ,PD2,[No] ) -\item[機能] 2曲線ã®äº¤ç‚¹ã‚’作る -\item[説明] 2曲線ã¯ãƒ—ロットデータåã§æŒ‡å®šã™ã‚‹ã€‚指定ã—ãŸç‚¹åã§äº¤ç‚¹ã‚’作る。ã“ã®ç‚¹ã¯å¹¾ä½•ç‚¹ã€‚\\ - 交点ãŒï¼’ã¤ä»¥ä¸Šã‚ã‚‹å ´åˆã§ã‚‚,æ画範囲ã«ãã®ã†ã¡ï¼‘ã¤ã ã‘ãŒå­˜åœ¨ã™ã‚‹ãªã‚‰ï¼Œãã®ç‚¹ã¨ãªã‚‹ã€‚æ画範囲ã«ï¼’ã¤ä»¥ä¸Šã®äº¤ç‚¹ãŒã‚ã‚‹å ´åˆã¯ï¼Œãれらã®ã†ã¡ã„ãšã‚Œã‹ã«ãªã‚‹ã€‚ã“ã®ã¨ã,コンソールã«äº¤ç‚¹ã®åº§æ¨™ã®ãƒªã‚¹ãƒˆã¨ï¼Œã€ŒChoose point number ã€ã¨ã„ã†ã‚¬ã‚¤ãƒ‰ãŒè¡¨ç¤ºã•ã‚Œã‚‹ã€‚引数ã®Noã¨ã—ã¦ï¼Œãã®ç•ªå·ã‚’指定ã™ã‚‹ã¨ï¼Œãã®ç‚¹ãŒæŽ¡ç”¨ã•ã‚Œã‚‹ã€‚\\ - ã“ã®é–¢æ•°ã§ä½œæˆã•ã‚Œã‚‹ã®ã¯å¹¾ä½•ç‚¹ã ã‘ãªã®ã§ï¼Œ\TeX ã®å›³ã«ç‚¹ã¨ã—ã¦æ˜Žç¤ºã™ã‚‹ãŸã‚ã«ã¯Pointdata()ã§æ›¸ã出ã™å¿…è¦ãŒã‚る。\\ - 次ã®ä¾‹ã¯ï¼Œï¼“次曲線ã¨ç›´ç·šã®äº¤ç‚¹ã‚’3ã¤ã¨ã‚‚å–ã£ãŸã‚‚ã®ã§ã‚る。 -\begin{verbatim} -  Plotdata("1","x^3-4*x","x",["Num=200"]); -  Plotdata("2","1/2*x+1","x"); -  Putintersect("P","gr1","gr2",1); -  Putintersect("Q","gr1","gr2",2); -  Putintersect("R","gr1","gr2",3); -  Pointdata("1",[P,Q,R],["size=4"]); -\end{verbatim} - \\ -           \input{Fig/putintersect}\\ -  \\ -  交点ãŒå­˜åœ¨ã—ãªã„å ´åˆã¯ï¼Œã€ŒNo intersect pointã€ãŒã‚³ãƒ³ã‚½ãƒ¼ãƒ«ã«è¡¨ç¤ºã•ã‚Œã‚‹ã€‚\\ - 2曲線ã®äº¤ç‚¹ã‚’作るã®ã«ï¼Œ\hyperlink{crosspoint}{Crosspoint()} 関数を用ã„ã‚‹ã“ã¨ã‚‚ã§ãる。\\ -\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} - - -\hypertarget{putpoint}{} -\item[関数] Putpoint(点å , 座標1 ,座標2 ) -\item[機能] 点を作る -\item[説明] 識別åãŒç‚¹åã®ç‚¹ã‚’,既存ã§ãªã‘ã‚Œã°åº§æ¨™ï¼‘ã«ä½œã‚‹ã€‚既存ãªã‚‰ã°åº§æ¨™ï¼’ã«ç§»å‹•ã™ã‚‹ã€‚Texã«ã¯å‡ºåŠ›ã•ã‚Œãªã„。\\ - -例:(1,1) ã«å›ºå®šç‚¹Aを作る。 ã“ã®ç‚¹ã¯å‹•ã‹ã™ã“ã¨ãŒã§ããªã„。\\ -   \verb|Putpoint("A",[1,1]);|\\ -  (1,1)ã«è‡ªç”±ç‚¹ã‚’作る。\\ -   \verb|Putpoint("A",[1,1],[A.x,A.y]);|\\ -  ã“ã®ç‚¹ã¯åº§æ¨™ï¼’ã®åŠ¹æžœã«ã‚ˆã‚Šï¼Œè‡ªç”±ç‚¹ã¨ãªã‚Šï¼Œãƒ‰ãƒ©ãƒƒã‚°ã—ã¦å‹•ã‹ã™ã“ã¨ãŒã§ãる。\\ - -実際ã«ã¯ï¼ŒCinderellaã®ä½œå›³ãƒ„ールã§ç‚¹ã‚’å–り,インスペクタã§åå‰ã‚’変更ã™ã‚Œã°ã‚ˆã„ã‚ã‘ã ãŒï¼Œã“ã®å½¢ã§ã¨ã‚Œã°ã‚¹ã‚¯ãƒªãƒ—トã®å¯èª­æ€§ãŒå¢—ã™æ„味ãŒã‚る。\\ -注)点åã¯åŠè§’アルファベットã¨ã™ã‚‹ã€‚数字や漢字ã§ã‚‚Cinderellaã§ã¯ç‚¹ãŒã§ãã‚‹ãŒï¼ŒScilabã§ã‚¨ãƒ©ãƒ¼ã¨ãªã‚‹ã€‚\\ - -\hypertarget{putonline}{} -\item[関数] PutonLine(点å , 座標1 ,座標2 ) -\item[機能] 直線上ã«ç‚¹ã‚’作る -\item[説明] 座標1,座標2を通る直線上ã«ç‚¹åã®ç‚¹ã‚’作る。ã§ããŸç‚¹ã¯ç›´ç·šã«å¯¾ã—ã¦ã‚¤ãƒ³ã‚·ãƒ‡ãƒ³ãƒˆã¨ãªã‚‹ã€‚\\ -例 点A,Bを通る直線上ã«ç‚¹Pã‚’ã¨ã‚‹ã€‚\\ -  \verb|PutonSeg("P",A,P);|\\ - -\hypertarget{putonseg}{} -\item[関数] PutonSeg(点å , 座標1 ,座標2 ) -\item[機能] 線分上ã«ç‚¹ã‚’作る -\item[説明] 座標1,座標2を通る線分上ã«ç‚¹åã®ç‚¹ã‚’作る。ã§ããŸç‚¹ã¯ç·šåˆ†ã«å¯¾ã—ã¦ã‚¤ãƒ³ã‚·ãƒ‡ãƒ³ãƒˆã¨ãªã‚‹ã€‚\\ -例 点A,Bを通る線分上ã«ç‚¹Pã‚’ã¨ã‚‹ã€‚\\ -  \verb|PutonSeg("P",A,P);|\\ - -\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} - -\hypertarget{reflextpoint}{} -\item[関数] Reflectpoint(点,対称点ã¾ãŸã¯å¯¾ç§°è»¸) -\item[機能] 点ã®é¡æ˜ ã‚’ä½œæˆ -\item[説明] 点を指定ã•ã‚ŒãŸç‚¹ã¾ãŸã¯è»¸ã«é–¢ã—ã¦å¯¾ç§°ç§»å‹•ã™ã‚‹ã€‚対称軸ã¯[ 点1, 点2 ]ã§æŒ‡å®š\\ - \\ -例:Cã¯Bã«é–¢ã—ã¦Aã¨å¯¾ç§°ãªç‚¹\\ -  Dã¯ç‚¹(2,3)ã«é–¢ã—ã¦Aã¨å¯¾ç§°ãªç‚¹\\ -  Eã¯ç‚¹(1,0) ã«é–¢ã—㦠(-1,1) ã¨å¯¾ç§°ãªç‚¹\\ -  Fã¯ç›´ç·šCEã«é–¢ã—ã¦Aã¨å¯¾ç§°ãªç‚¹\\ -\begin{verbatim} -   C.xy=Reflectpoint(A,B); -   D.xy=Reflectpoint(A,[[2,3]]); -   E.xy=Reflectpoint([-1,1],[[1,0]]); -   F.xy=Reflectpoint(A,[C,E]); -   Lineplot([C,E],["do"]); -\end{verbatim} - \\ -     \input{Fig/reflectpoint}\\ -\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} - -\hypertarget{rotatepoint}{} -\item[関数] Rotatepoint(点 ,角度 , 中心) -\item[機能] 点ã®ä½ç½®ã‚’回転ã™ã‚‹ -\item[説明] 点を,中心ã§ç¤ºã•ã‚ŒãŸç‚¹ã®å‘¨ã‚Šã«å›žè»¢ã™ã‚‹ã€‚角度ã¯å¼§åº¦æ³•ã§ä¸Žãˆã‚‹\\ -\begin{spacing}{1.5} -例:点Cã¯Aを,Bã«é–¢ã—ã¦$\dfrac{2}{3}\pi $ã ã‘回転ã—ãŸç‚¹\\ -  点Dã¯ç‚¹(5,2)を,Bã«é–¢ã—ã¦$\dfrac{\pi}{3}$ ã ã‘回転ã—ãŸç‚¹\\ -  点Eã¯ç‚¹(3,0)ã‚’Aã«é–¢ã—㦠$-\dfrac{\pi}{4} $ã ã‘回転ã—ãŸç‚¹ -\end{spacing} -\begin{verbatim} -   C.xy=Rotatepoint(A,2*pi/3,B); -   D.xy=Rotatepoint((5,2),pi/3,B); -   E.xy=Rotatepoint([3,0],-pi/4,A); -\end{verbatim} - \\ -   \input{Fig/rotatepoint}\\ - \\ -%\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} - -\hypertarget{rulerscale}{} -\item[関数] Rulerscale(始点 ,横軸目盛 , 縦軸目盛) -\item[機能] 目盛を打㤠-\item[説明] 始点ã®ä½ç½®ã‚’縦横ã®èµ·ç‚¹ã¨ã—ã¦ç›®ç››ã‚Šã‚’打ã¤ã€‚\\ - 目盛ã¯ãƒªã‚¹ãƒˆã§ä¸Žãˆã‚‹ã€‚\\ - ["r",a,b,c] ã®å½¢å¼ã§ã¯ï¼Œaã‹ã‚‰bã¾ã§cé–“éš”ã§ç›®ç››ã‚’打ã¤ã€‚\\ - ["f",n1,"str",n2,"str",・・] ã®å½¢å¼ã§ã¯ï¼Œnã¨"str"ãŒã‚»ãƒƒãƒˆã§ï¼Œnã®ä½ç½®ã«"str"を書ã。ãŸã ã—,ä½ç½®ã¯Cinderellaã®æç”»é¢ã®åŽŸç‚¹ã‚’0ã¨ã™ã‚‹ã€‚\\ - Framedata() ã¾ãŸã¯ Framedata2() ã¨ã¨ã‚‚ã«ç”¨ã„ã‚‹ã¨çŸ©å½¢ã«ç›®ç››ã‚’打ã¤ã“ã¨ãŒã§ãる。\\ - \\ -例:Aを原点ã«ç½®ã„ãŸçŸ©å½¢æž ã‚’æã,横ã«0,1,2,3,4,5,縦㫠d1,d2 ã®ç›®ç››ã‚’打ã¤ã€‚ -\begin{verbatim} -  Framedata2("1",[A,B]); -  Rulerscale(A,["r",0,5,1],["f",1,"d1",3,"d2"]); -\end{verbatim}  -   \input{Fig/ruler}\\ - \\ - -\hypertarget{scalepoint}{} -\item[関数] Scalepoint(点,比率ベクトル,中心) -\item[機能] 点ã®ä½ç½®ã‚’拡大・縮å°ã™ã‚‹ -\item[説明] 点を,指定ã•ã‚ŒãŸä¸­å¿ƒã‚’原点ã¨ã™ã‚‹åº§æ¨™ç³»ã§ï¼Œæ¯”率ベクトルã®åˆ†ã ã‘拡大・縮å°ã—ãŸä½ç½®ã«ç½®ã。\\ - -例:点Cを,点Aを原点中心ã«æ¨ªã«ï¼“å€ï¼Œç¸¦ã«ï¼’å€ã—ãŸä½ç½®ã«ç½®ã。\\ -  点Dを,点Aを点B中心ã«æ¨ªã«ï¼“å€ï¼Œç¸¦ã«ï¼’å€ã—ãŸä½ç½®ã«ç½®ã。\\ -  点Fを,点Aを原点中心ã«ãƒ™ã‚¯ãƒˆãƒ«$\overrightarrow{OE} $ã§ç¤ºã•ã‚ŒãŸæ¯”率ã®ä½ç½®ã«ç½®ã。 -\begin{verbatim} -   C.xy=Scalepoint(A,[3,2],[0,0]); -   D.xy=Scalepoint(A,[3,2],B); -   F.xy=Scalepoint(A,E.xy,[0,0]); -\end{verbatim} -     \input{Fig/scalepoint}\\ - \\ - -\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} - -\hypertarget{translatepoint}{} -\item[関数] Translatepoint(点 , 移動ベクトル) -\item[機能] 点を平行移動ã™ã‚‹ -\item[説明] 点を移動ベクトルã§ç¤ºã•ã‚ŒãŸåˆ†ã ã‘平行移動ã™ã‚‹ã€‚\\ -\\ -例:点Cã¯ç‚¹Aã‚’$x$軸方å‘ã«2 , $y$軸方å‘ã«ï¼“ã ã‘平行移動ã—ãŸç‚¹\\ -  点Dã¯ç‚¹Aをベクトル$\overrightarrow{OB} $ã ã‘平行移動ã—ãŸç‚¹ -\begin{verbatim} -   C.xy=Translatepoint(A,[2,3]); -   D.xy=Translatepoint(A,B.xy); -\end{verbatim} - \\ -     \input{Fig/translatepoint} -\end{description} - \\ - -\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} -\newpage -% ï¼ï¼ãƒ—ロットデータã®æ“作ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ï¼ -\subsection{プロットデータã®æ“作} - -% æ画関数ã§ä½œæˆã•ã‚ŒãŸãƒ—ロットデータを用ã„ã¦æ画をãŠã“ãªã†ã€‚ãªãŠï¼Œæœ¬ç¯€ã§ã¯ï¼Œè©²å½“ã™ã‚‹å›³å½¢ã®ã“ã¨ã‚’「プロットデータã€ã¨è¡¨è¨˜ã™ã‚‹å ´åˆãŒã‚る。\\ - -\begin{description} - -\hypertarget{changestyple}{} -\item[関数] Changestyle(PDリスト, optionss) -\item[機能] æ画オプションを変更ã™ã‚‹ -\item[説明] 複数ã®å›³å½¢ã®æ画オプションを一括ã—ã¦å¤‰æ›´ã™ã‚‹ã€‚\\ - -例:線分AB,円ABã®ç·šã‚’ç ´ç·šã«ã—ã¦\TeX ã«æ›¸ã出ã•ãªã„よã†ã«ã™ã‚‹ã€‚\\ -  \verb|Changestyle(["sgAB","crAB"],["da","notex"]);|\\ - \\ - -\hypertarget{enclosing}{} -\item[関数] Enclosing(name , PDリスト , [ä½ç½®ï¼Œæ–¹å‘,数å¼]) -\item[機能] 複数ã®æ›²ç·šã‹ã‚‰é–‰æ›²ç·šã‚’æã。 -\item[説明] 引数ã®ä½ç½®ï¼Œæ–¹å‘,数å¼ã¯ï¼Œè¤‡æ•°ç‚¹ã®æƒ…報を[ ]内ã«ã¾ã¨ã‚㦠-記入ã§ãる。以下ã¯ä¸€ä¾‹ã€‚ -\begin{verbatim} -  Circledata([A,B],["do"]); -  Scaledata("1","crAB",1.5,1/1.5,["do"]); -  Scaledata("2","crAB",1/1.5,1.5,["do"]); -  Tmp1=Intersectcrvs(sc2,crAB); -  Putpoint("C",Tmp1\_1); -  Enclosing("1",["sc2","crAB","sc2","Invert(sc1)"],[C]); -  Hatchdata("1","i",[["en1"]],["dr,0.5"]); -\end{verbatim} -         \input{Fig/enclosing} - -\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} - \\ - -\hypertarget{addgraph}{} -\item[関数] AddGraph(name ,プロットデータã®ãƒªã‚¹ãƒˆ,option) -\item[機能] 複数ã®ãƒ—ロットデータをã¾ã¨ã‚ã‚‹ -\item[説明] 複数ã®ãƒ—ロットデータをã¾ã¨ã‚ã¦æ‰±ã†ã€‚ãŸã¨ãˆã°ï¼Œå††ã¨ï¼Œå††å‘¨ä¸Šã®ç‚¹ã®ï¼’ã¤ã®ãƒ—ロットデータをã¾ã¨ã‚ã¦æ‰±ãˆã°ï¼Œã‚¹ãƒ©ã‚¤ãƒ€ã‚’用ã„ãŸã‚Šå‹•ç”»ã«ã™ã‚‹ã¨ãã«ï¼Œå€‹ã€…ã«ç§»å‹•ã‚„回転をã—ãªãã¦ã™ã‚€ã€‚Joincrvs()ã§ã¯ï¼Œãƒ—ロットデータをã¤ãªã’ã¦ï¼‘ã¤ã®ãƒ—ロットデータã«ã™ã‚‹ãŒï¼ŒAddGraph()ã§ã¯ï¼Œãƒ—ロットデータをリスト化ã—ã¦æ‰±ã†ã¨ã„ã†é•ã„ãŒã‚る。\\ - プロットデータã®ãƒªã‚¹ãƒˆã¯ï¼Œãƒ—ロットデータåを文字列化ã—ã¦æ¸¡ã™ã€‚ãŸã¨ãˆã°ï¼Œå††ã®ãƒ—ロットデータ㌠cr1 ã®ã¨ã,"cr1" ã¨ã™ã‚‹ã€‚\\ - \\ -例:サイクロイドã®å›³ã‚’æã。 -\begin{verbatim} -  Setpt(3); -  Circledata("1",[[0,1],[0,0]]); -  Pointdata("1",[0,0]); -  AddGraph("1",["[pt1]","cr1"],["nodisp"]); -  nn=32; -  forall(1..nn, -   t=2*pi/nn*#; -   Rotatedata(text(#),"ad1",-t,[[0,1],"nodisp"]); -   Translatedata(text(#),"rt"+text(#),[t,0],["dr,0.3"]); -  ); -\end{verbatim} - -\begin{center} -\input{Fig/addgraph} -\end{center} - ã“ã“ã§ï¼ŒAddGraph()ã®å¼•æ•°ã§ä¸Žãˆã‚‹ãƒ—ロットデータã®ãƒªã‚¹ãƒˆã§ï¼Œç‚¹ã®ãƒ—ロットデータ pt1 ã‚’"[pt1]" ã¨ã—ã¦ã„ã‚‹ã“ã¨ã«æ³¨æ„。円ã®ãƒ—ロットデータãŒï¼Œç‚¹ã®åº§æ¨™ã®ãƒªã‚¹ãƒˆã§ã‚ã‚‹ã®ã«å¯¾ã—,点ã®ãƒ—ロットデータã¯ä¸€ã¤ã®åº§æ¨™ã ã‘ãªã®ã§ï¼Œã“ã®ã‚ˆã†ã«ã—ã¦ãƒªã‚¹ãƒˆåŒ–ã—ã¦æ¸¡ã™ã€‚\\ - \\ -\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} - \\ - -\hypertarget{hatchdata}{} -\item[関数] Hatchdata(name , æ–¹å‘リスト , プロットデータ , optionss) -\item[機能] 閉曲線ã®å†…部ã«æ–œç·šã‚’引ã。 -\item[説明] 引数ã¯ï¼Œæ›²ç·šå,内部外部ã®ãƒ‘ターンを与ãˆã‚‹''i'',''o''ã®æ–‡å­—列,閉曲線を与ãˆã‚‹æ›²ç·šåˆ†ã¨é ˜åŸŸã®å†…部を定ã‚ã‚‹æ–¹å‘ã®ãƒªã‚¹ãƒˆã¨ã‚ªãƒ—ション。\\ - Scilabã§ãƒãƒƒãƒãƒ‡ãƒ¼ã‚¿ã‚’作æˆã—ã¦èª­ã¿è¾¼ã‚€ã€‚åŒã˜åå‰ã®ãƒãƒƒãƒãƒ‡ãƒ¼ã‚¿ãŒã™ã§ã«ã‚ã‚‹å ´åˆï¼Œ"m"ã‚’ã¤ã‘ã‚‹ã¨ãƒãƒƒãƒãƒ‡ãƒ¼ã‚¿ã‚’強制的ã«æ›´æ–°ã™ã‚‹ã“ã¨ãŒã§ãる。\\ - \\ -例:円ã®å†…部。(下図左) -\begin{verbatim} -  Circledata([A,B],["dr"]); -  Hatchdata("1",["i"],[["crAB"]],["dr,0.7","out"]); -\end{verbatim} - -例:3ã¤ã®é–‰æ›²ç·šã®å†…å´ãƒ»å¤–å´ã®ãƒ‘ターンãŒåŒä¸€ã§ã‚る領域(下図å³ï¼‰ -\begin{verbatim} -  Circledata([A,B],["dr"]); -  Paramplot("1","[4*cos(t),2*sin(t)]","t=[0,2*pi]"); -  Paramplot("2","[2*cos(t),4*sin(t)]","t=[0,2*pi]"); -  Hatchdata("1",["ioi"],[["crAB"],["gp1"],["gp2"]],["dr,0.7","out"]); -  Hatchdata("2",["iio"],[["crAB"],["gp1"],["gp2"]],["dr,0.7","out"]); -\end{verbatim} - \\ -  \input{Fig/hatch1}   \input{Fig/hatch2} -\newpage - -例:複数ã®ãƒ‘ターンã«åˆ†ã‹ã‚ŒãŸé ˜åŸŸã€‚ -\begin{verbatim} -  Plotdata("1","2*sin(x)","x=[-pi,3*pi]",["Num=100"]); -  Listplot([A,B]); -  Listplot([A,C]); -  io="out"; -  Hatchdata("1",["ii"],[["sAB","n"],["gr1","s"]],["dr,0.7",io]); -  Hatchdata("2",["ii"],[["sAC","s"],["gr1","n"]],["dr,0.7",io]); -\end{verbatim} -\begin{center} -\input{Fig/hatch3} -\end{center} - -複数領域ã®æ–œç·šå¡—ã®å ´åˆï¼Œãれらã®é ˜åŸŸã‚’ã¾ã¨ã‚ã¦å‡ºåŠ›ã™ã‚‹ã‹ï¼Œ -ã¾ã¨ã‚ã¦Cinderellaã«èª­ã¿è¾¼ã‚€å ´åˆãŒå¤šã,ãã®ã‚ˆã†ãªå ´åˆã«ã¯ -4行目ã®ã‚ˆã†ãªæŒ‡å®šã®ä»•æ–¹ã‚‚ã‚る。\\ - -例:æ画範囲ã¨ã‚ã‚ã›ã¦é–‰é ˜åŸŸã¨ãªã‚‹å ´åˆã€‚ -\begin{verbatim} -  Plotdata("1","2*sin(x)","x=[-pi,3*pi]",["Num=100"]) -  Listplot([A,B]); -  Listplot([A,C]); -  Hatchdata("1",["iio"],[["sAB","s"],["sAC","n"],["gr1","[0,2]"]], -                     ["dr,0.7","out"]); -\end{verbatim} -\begin{center} -\input{Fig/hatch4} -\end{center} - -\newpage - -例:接線ã§å›²ã¾ã‚ŒãŸé ˜åŸŸã®å ´åˆã€‚ -\begin{verbatim} -  Deffun("f(x)",["regional(y)","y=xï¼¾2*(x-3)","y"]); -  Plotdata("1","f(x)","x"); -  PutonCurve("A",gr1,-1); -  coef=Derivative("f(x)","x","A.x"); -  Defvar("DC=coef"); -  Deffun("g(x)",["regional(y)","y=DC*(x-A.x)+A.y","y"]); -  Plotdata("2","g(x)","x"); -  Tmp=Intersectcrvs(gr1,gr2); -  Partcrv("1",A,Tmp_3,"gr1"); -  Partcrv("2",A,Tmp_3,"gr2"); -  Hatchdata("1",["ii"],[["part1","n"],["part2","s"]],["dr,0.7","out"]); -\end{verbatim} -\begin{center} -\input{Fig/hatch5} -\end{center} - \\ -斜線ã®å‘ãや間隔を変ãˆã‚‹ã“ã¨ã‚‚ã§ãる。\\ - -\noindent -%ï¿¥Ltab{10mm}{æ–‡} -例:円ã®å†…部ã¾ãŸã¯å††ã¨ç›´ç·šã§åŒºåˆ‡ã‚‰ã‚ŒãŸå›³å½¢\\ -\verb|Circledata([A,B]);| ã§å††ãƒ‡ãƒ¼ã‚¿ã®åå‰ãŒ crABã¨ãªã‚‹ã€‚ã“れを用ã„ã¦\\ -\verb|Hatchdata("1",["i"],[["crAB"]]);| -円内ã«å‚¾ã$45^{\circ}$ã®æ–œç·šã‚’引ã(下図ha1)\\ -\verb|Hatchdata("2",["i"],[["crAB"]],[-40,2]);| 傾ã$-40^{\circ}$,間隔を2å€ã«ï¼ˆha2)\\ -                     (間隔ã¯å®Ÿæ•°ã§æŒ‡å®šã§ãる)\\ -\verb|Hatchdata("3",["i"],[["crAB"]],["dr,0.5"]);| 線ã®å¤ªã•ã‚’0.5å€ã«ï¼ˆha3)\\ -\verb|Hatchdata("4",["i"],[["crAB"]],[-45,2,"dr,0.5"]);| (ha4)\\ - -  \input{Fig/HatchZuKita1.tex} \input{Fig/HatchZuKita2.tex}\\ -       図ha1           図ha2\\ -  \input{Fig/HatchZuKita3.tex} \input{Fig/HatchZuKita4.tex}\\ -       図ha3           図ha4\\ - \\ - -ã“ã®å††ã«ç›´ç·šã‚’加ãˆé ˜åŸŸã‚’分ã‘る。\\ - \verb|Lineplot("1",[A,B]);|  直線データã®åå‰ã¯ ln1\\ - \verb|Lineplot("2",[A,C]);| 直線データã®åå‰ã¯ ln2\\ -円ã®å†…部ã§å³ä¸Šï¼ˆln1ã¨ln2ã®åŒ—å´ï¼‰ï¼ˆä¸‹å›³ha5)\\ - \verb|Hatchdata("5",["iii"],[["crAB"],["ln1","n"],["ln2","n"]]);|\\ -円ã®å†…部ã§å³ä¸Šã¨å·¦ä¸‹ï¼ˆä¸‹å›³ha6)\\ -\verb|Hatchdata("6",["iii","ioo"],[["crAB"],["ln1","n"],["ln2","n"]]);|\\ - -  \input{Fig/HatchZuKita5.tex} \input{Fig/HatchZuKita6.tex}\\ -       図ha5          図ha6\\ - \\ -円データcrABを作るãŒæã‹ãªã‘ã‚Œã°å¢ƒç•Œç·šãŒå«ã¾ã‚Œãªã„。(下図ha7)\\ - \verb|Circledata([A,B],["notex"]);|\\ - \verb|Hatchdata("7",["i"],[["crAB"]]);|\\ -境界線を破線ã§æãã¨é–‹é›†åˆã®ã‚ˆã†ã«ãªã‚‹ï¼ˆä¸‹å›³ha8)\\ - \verb|Circledata([A,B],["da"]);|\\ - \verb|Hatchdata("8",["i"],[["crAB"]]);|\\ - -  \input{Fig/HatchZuKita7.tex} \input{Fig/HatchZuKita8.tex}\\ -       図ha7          図ha8\\ - -å•é¡Œï¼šæ¬¡å›³ã®ã‚ˆã†ã«ä¸Šã¨ä¸‹ã§æ–œç·šã®æã分ã‘ã‚’ã™ã‚‹ã«ã¯ï¼Ÿã€€ã€€ã€€ç­”ã¯å›³ã®å¾Œã«\\ - -         \input{Fig/HatchZuKita9.tex}\\ - \\ -å•é¡Œã®ç­”:次ã®ã‚ˆã†ã«2ã¤ã®ãƒ‡ãƒ¼ã‚¿ã‚’作り両方æã -\begin{verbatim} -  Hatchdata("9a",["iii"],[["crAB"],["ln1","n"],["ln2","n"]]); -  Hatchdata("9b",["ioo"],[["crAB"],["ln1","n"],["ln2","n"]],[90,2]); -\end{verbatim} -    (ã“ã®ç­”ã¯å›³ha7ã¨å›³ha8ã¨ã®é–¢ä¿‚ã¨åŒã˜ï¼‰ã€€ - \\ -\hypertarget{dotfilldata}{} -\item[関数] Dotfilldata(name , æ–¹å‘リスト , プロットデータ , optionss) -\item[機能] 領域を点ã§æ•·ãè©°ã‚る。 -\item[説明] Scilabã¨ãƒ‡ãƒ¼ã‚¿ã®æŽˆå—ã‚’ãŠã“ãªã£ã¦æç”»ã™ã‚‹ã€‚書å¼ã¯Hatchdata()ã¨åŒã˜\\ -\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} - \\ - -\hypertarget{joincrvs}{} -\item[関数] Joincrvs(name, プロットデータã®ãƒªã‚¹ãƒˆ, options) -\item[機能] 隣接ã™ã‚‹æ›²ç·šãƒ—ロットデータ ã®ãƒªã‚¹ãƒˆã‚’繋ã„ã§1本ã®æ›²ç·šã‚’作る。 -\item[説明] 曲線ã®ãƒªã‚¹ãƒˆã¯éš£æŽ¥ã™ã‚‹é †ç•ªã§æŒ‡å®šã™ã‚‹ã€‚プロットデータåã®é ­éƒ¨ã¯join。\\ -optionsã¯ç·šç¨®ã€€ã€€ã€€"dr, n" , "da,m,n" , "do,m,n"\\ - \\ -例:線分$y=x\ (-\sqrt{2} \leqq x \leqq \sqrt{2})$ã¨åŠå††ã‚’繋ã„ã§å¾—られる閉曲線をæã。\\ -\begin{verbatim} -  Plotdata("1","x","x=[-sqrt(2),sqrt(2)]"); -  Putpoint("B",[sqrt(2),sqrt(2)]); -  Circledata("2",[A,B],["Rng=[pi/4,pi/4*5]"]); -  Joincrvs("3",["gr1","cr2"]); -\end{verbatim} - \\ -        \input{Fig/joincrvs.tex} - -\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} - \\ -\hypertarget{partcrv}{} -\item[関数] Partcrv(name, A, B, プロットデータ, options) -\item[機能] 曲線プロットデータ上ã®ç‚¹A, B ã®é–“ã®éƒ¨åˆ†æ›²ç·šã‚’æã。 -\item[説明] プロットデータåã®é ­éƒ¨ã¯part。\\ -optionsã¯ç·šç¨®ã€€ã€€ã€€"dr, n" , "da,m,n" , "do,m,n"\\ - -例1:2点A, Bã®é †åºã¨æ›²ç·šã®å‘ãã«ã‚ˆã£ã¦éƒ¨åˆ†æ›²ç·šãŒæ±ºã¾ã‚‹ã€‚ -曲線ã®å‘ãã¯ï¼Œ$y=f(x)$ã®ã‚°ãƒ©ãƒ•ã§ã¯x座標ãŒå¢—加ã™ã‚‹å‘ã。ã“ã“ã§ï¼ŒPDname="gr1"ã®ã‚ˆã†ã«""ã§å›²ã‚€ã“ã¨ãŒå¿…è¦ã€‚\\ - \verb|Plotdata("1", "x^2", "x", ["do"]);| (放物線ã®åå‰ã¯gr1)\\ - \verb|Partcrv("1", [0,0], [1,1], "gr1");| (部分曲線ã®åå‰ã¯part1)\\ - \verb|Partcrv("2", [1,1], [0,0], "gr1");| (部分曲線ã®åå‰ã¯part2)\\ - -\begin{minipage}{35mm} -\begin{center} -\input{Fig/partcrv1}\\ -part1 ã®å›³ -\end{center} -\end{minipage} -\hspace{10mm} -\begin{minipage}{35mm} -\begin{center} -\input{Fig/partcrv2}\\ -part2 ã®å›³ -\end{center} -\end{minipage} -\vspace{5mm} - -例2:閉曲線ã®ä¾‹ï¼Žãƒ‘ラメータ表示曲線ã¯ãƒ‘ラメータã®å¢—ãˆã‚‹å‘ãã‚’ã‚‚ã¤ã€‚ -\begin{verbatim} -  Circledata([A,B], ["do"]); -   Plotdata("1", "x^2", "x", ["do"]); -  tmp=Intersectcrvs(crAB, gr1); -  P.xy=tmp_1; -  Q.xy=tmp_2; -  Partcrv("1", P, Q, "crAB"); -  Partcrv("2", Q, P, "crAB"); -\end{verbatim} -\vspace{5mm} - -\begin{minipage}{45mm} -\begin{center} -\input{Fig/partcrv3}\\ -part1 ã®å›³ -\end{center} -\end{minipage} -\hspace{10mm} -\begin{minipage}{45mm} -\begin{center} -\input{Fig/partcrv4}\\ -part2 ã®å›³ -\end{center} -\end{minipage} -\\ -\\ - -例3:放物線$y=x^2$ãŒå††ã§åˆ‡ã‚Šå–られる部分をæã。 -\begin{verbatim} -  Circledata([A,B]); -  Deffun("f(x)",["regional(y)","y=x^2","y"]); -  Plotdata("1","f(x)","x",["do"]); -  tmp3=Intersectcrvs("crAB","gr1"); -  Partcrv("2",tmp3_2,tmp3_1,"gr1",["dr,2"]); -\end{verbatim} -\input{Fig/partcrv} - -\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} - - -\hypertarget{putoncurve}{} -\item[関数] PutonCurve(点ã®åå‰, プロットデータ, options) -\item[機能] 曲線上ã«ç‚¹ã‚’ä¹—ã›ã‚‹ã€‚ -\item[説明] 点ãŒå­˜åœ¨ã—ãªã„å ´åˆã¯æ–°ãŸã«ä½œã‚‹ã€‚ã™ã§ã«ãã®ç‚¹ãŒå­˜åœ¨ã™ã‚‹å ´åˆã¯ï¼Œãã®ç‚¹ã®$x$座標を使ã†ã€‚åˆæœŸå€¤ã®$x$座標ã®ãƒ‡ãƒ•ã‚©ãƒ«ãƒˆã¯ 0。\\ -optionsã¯[$x$座標ã®ç¯„囲]。\\ - -例:アステロイド上ã®å‹•ç‚¹P ã‚’ã¨ã‚‹ã€‚ -\begin{verbatim} -  Deffun("fx(t)", ["local(x)","x=2*cos(t)^3","x"]); -  Deffun("fy(t)", ["local(y)","y=2*sin(t)^3","y"]); -\end{verbatim} -ã§é–¢æ•°ã‚’定義ã—,\\ -  \verb|Paramplot("1","[fx(t),fy(t)]","t=[0,2*pi]");|\\ -ã§ã‚¢ã‚¹ãƒ†ãƒ­ã‚¤ãƒ‰ã‚’表示ã™ã‚‹ã€‚プロットデータ㯠gp1 ã¨ãªã‚‹ã€‚\\ -ãã“ã§\\ -  \verb|PutonCurve("P","gp1",[-1,1]); |\\ -ã§$x$座標㌠$-1$ ã§ã‚る点PãŒã‚¢ã‚¹ãƒ†ãƒ­ã‚¤ãƒ‰ä¸Šã«ã§ã,ã“ã®ç‚¹ã¯ãƒ‰ãƒ©ãƒƒã‚°ã™ã‚‹ã¨ã‚¢ã‚¹ãƒ†ãƒ­ã‚¤ãƒ‰ä¸Šã‚’ $-1 \leqq x\leqq 1$ ã®ç¯„囲ã§å‹•ã‹ã™ã“ã¨ãŒã§ãる。\\ - -        \input{Fig/putoncurve.tex} - -ãªãŠ\\ -  \verb|fx(t):=2*cos(t)^3;|\\ -ã§é–¢æ•°ã‚’定義ã™ã‚‹ã¨ Scilab ã«é–¢æ•°å®šç¾©æƒ…å ±ãŒæ¸¡ã•ã‚Œãªã„ã®ã§\\ -  \verb|Deffun("fx(t)", ["local(x)","x=2*cos(t)^3","x"]);|\\ -㧠f(x) を定義ã™ã‚‹å¿…è¦ãŒã‚る。 - \\ - \\ -\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} - -\hypertarget{reflextdata}{} -\item[関数] Reflectdata(name , プロットデータ , 対称点ã¾ãŸã¯å¯¾ç§°è»¸,options) -\item[機能] プロットデータã®é¡æ˜ ã‚’ä½œæˆ -\item[説明] プロットデータを指定ã•ã‚ŒãŸç‚¹ã¾ãŸã¯è»¸ã«é–¢ã—ã¦å¯¾ç§°ç§»å‹•ã™ã‚‹ã€‚\\ - 対称点ã¯åº§æ¨™ã¾ãŸã¯ï¼Œç‚¹ã®è­˜åˆ¥å。ãŸã ã—,対称点を座標ã§ç¤ºã™ã¨ãã¯è¦ç´ ãŒã²ã¨ã¤ã®ãƒªã‚¹ãƒˆã«ã™ã‚‹ã€‚\\ - 対称軸ã¯ãƒªã‚¹ãƒˆ[ 点1, 点2 ] ã§æŒ‡å®š\\ - optionsã¯ç·šç¨®\\ -\\ -例:中心A , åŠå¾„ABã®å††ã‚’æã,ãã®ãƒ—ロットデータを用ã„ã¦ï¼Œ\\ -  点Cã«é–¢ã—ã¦å¯¾ç§°ãªå††ã‚’\\ -   点(-1,2)ã«é–¢ã—ã¦å¯¾ç§°ãªå††ã‚’太ã„実線ã§\\ -   直線DEã«é–¢ã—ã¦å¯¾ç§°ãªå††ã‚’ç ´ç·šã§\\ -  ãã‚Œãžã‚Œæã。\\ -  作æˆã•ã‚Œã‚‹ãƒ—ロットデータã®å称を rf1 ,rf2 ,rf3 ã¨ã™ã‚‹ã€‚ -\begin{verbatim} -   Circledata([A,B]);\\ -   Reflectdata("1","crAB",[C]);\\ -   Reflectdata("2","crAB",[[-1,2]],["dr,2"]);\\ -   Reflectdata("3","crAB",[D,E],["da"]);\\ -\end{verbatim} - \\ -   \input{Fig/reflectdata} - -\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} - -\hypertarget{rotatedata}{} -\item[関数] Rotatedata(name , プロットデータ ,角度 , [中心 , options]) -\item[機能] プロットデータã®ä½ç½®ã‚’回転ã™ã‚‹ -\item[説明] 図形を,中心ã§ç¤ºã•ã‚ŒãŸç‚¹ã®å‘¨ã‚Šã«å›žè»¢ã™ã‚‹ã€‚角度ã¯å¼§åº¦æ³•ã§ä¸Žãˆã‚‹\\ - 中心ã¨optionsã¯ã¾ã¨ã‚ã¦ãƒªã‚¹ãƒˆã§ä¸Žãˆã‚‹ã€‚optionsã¯ç·šç¨®\\ - -\begin{spacing}{1.5} -例:中心A , åŠå¾„ABã®å††ã®ãƒ—ロットデータをæã,\\ -   点Cを中心ã«$\dfrac{\pi}{2} $ã ã‘回転ã—ãŸå††\\ -   点(1,5)を中心ã«$\dfrac{\pi}{3}$ ã ã‘回転ã—,線を太ãã—ãŸå††\\ -   点Dを中心㫠$-\dfrac{\pi}{3} $ã ã‘回転ã—,破線ã«ã—ãŸå††\\ -  をãã‚Œãžã‚Œæã。\\ -  作æˆã•ã‚Œã‚‹ãƒ—ロットデータã®å称を rt1 ,rt2 ,rt3 ã¨ã™ã‚‹ã€‚ -\end{spacing} -\begin{verbatim} -   Circledata([A,B]);\\ -   Rotatedata("1","crAB",pi/2,[C]);\\ -   Rotatedata("2","crAB",pi/3,[[1,5],"dr,2"]);\\ -   Rotatedata("3","crAB",-pi/3,[D,"da"]);\\ -\end{verbatim} - \\ -      \input{Fig/rotatedata} - -\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} - -\hypertarget{scaledata}{} -\item[関数] Scaledata(name , プロットデータ,xæ–¹å‘比率 , yæ–¹å‘比率 , [中心 , options]) -\item[機能] 図形ã®ä½ç½®ã‚’拡大・縮å°ã™ã‚‹ -\item[説明] 図形ã®ä½ç½®ã‚’プロットデータを用ã„ã¦æŒ‡å®šã•ã‚ŒãŸæ¯”率ã§æ‹¡å¤§ãƒ»ç¸®å°ã™ã‚‹\\ - 中心ã¨optionsã¯ã¾ã¨ã‚ã¦ãƒªã‚¹ãƒˆã§ä¸Žãˆã‚‹ã€‚optionsã¯ç·šç¨®\\ - -例:中心A,åŠå¾„ABã®å††ã‚’æã„ã¦ãŠã。プロットデータå㯠crABã¨ãªã‚‹ã€‚\\ -  ã“ã®å††ã‚’\\ -   原点中心ã«$x$軸方å‘ã«ï¼“,$y$軸方å‘ã«ï¼’ã ã‘平行移動ã™ã‚‹ã€‚\\ -   Cを中心ã«$x$軸方å‘ã«ï¼“,$y$軸方å‘ã«ï¼’ã ã‘平行移動ã—,実線ã§å¤ªãæã。\\ -   原点中心ã«ãƒ™ã‚¯ãƒˆãƒ«$\overrightarrow{OD} $ã ã‘平行移動ã—,破線ã§æã。 -\begin{verbatim} -   Circledata([A,B]); -   Scaledata("1","crAB",3,2,[[0,0]]); -   Scaledata("2","crAB",3,2,[C,"dr,2"]); -   Scaledata("3","crAB",D.x,D.y,[[0,0],"da"]); -\end{verbatim} -       \input{Fig/scaledata}\\ - \\ -%\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} -\hypertarget{shade}{} -\item[関数] Shade(プロットデータã®ãƒªã‚¹ãƒˆ , optionss) -\item[機能] 閉曲線ã§å›²ã¾ã‚ŒãŸé ˜åŸŸã‚’å¡—ã‚Šã¤ã¶ã™ã€‚ -\item[説明] 第1引数ã«ã¯ï¼Œé–‰æ›²ç·šã‚’与ãˆã‚‹æ›²ç·šåˆ†ã®ãƒªã‚¹ãƒˆã‚’並ã¹ã‚‹ã€‚\\ - optionssã¯ï¼ŒCinderellaã®ç”»é¢ä¸Šã§ã®æ画色,濃ã•ã‚’リストã§ä¸Žãˆã‚‹ã€‚\\ - -例:$y=2\sin x$ã®ã‚°ãƒ©ãƒ•ã¨ç›´ç·š$y=1$(直線ABã®ä¸€éƒ¨ï¼‰ã¨ã§å›²ã¾ã‚ŒãŸéƒ¨åˆ†ã«0.5ã®æ¿ƒã•ã§è‰²ã‚’塗る。 -\begin{verbatim} -  Setax([7,"nw"]); -  Plotdata("1","2*sin(x)","x",["Num=100"]); -  Plotdata("2","2*sin(x)","x=[5*pi/6,13*pi/6]",["Num=100"]); -  Lineplot("1",[[0,1],[1,1]]); -  Listplot("1",[[5*pi/6,1],[13*pi/6,1]]); -  Shade(["gr2","sg1"],[0.5]); -\end{verbatim} -\begin{center} -\input{Fig/shade} -\end{center} - -例:2ã¤ã®æ”¾ç‰©ç·šã§å›²ã¾ã‚ŒãŸéƒ¨åˆ†ã«0.2ã®æ¿ƒã•ã§è‰²ã‚’塗る。Cinderellaã®ç”»é¢ã§ã¯èµ¤ã§å°‘ã—è–„ã塗る。 -\begin{verbatim} -  Plotdata("1","x^2-1","x=[-sqrt(2),sqrt(2)]",["Num=100"]); -  Plotdata("2","x^2/2","x=[-sqrt(2),sqrt(2)]",["Num=100"]); -  Shade(["gr2","gr1"],[0.2,"color->[1,0,0]","alpha->0.4"]); -\end{verbatim} -\begin{center} -\input{Fig/shade01} -\end{center} - - -\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} -\newpage -\hypertarget{translatedata}{} -\item[関数] Translatedata(name , プロットデータ , 移動ベクトル , options) -\item[機能] プロットデータを平行移動ã™ã‚‹ -\item[説明] プロットデータを移動ベクトルã§ç¤ºã•ã‚ŒãŸåˆ†ã ã‘平行移動ã™ã‚‹ã€‚\\ - nameã¯ã“ã‚Œã«ã‚ˆã£ã¦ã¤ãるプロットデータã®å称を設定。å˜ãªã‚‹ç•ªå·ã¯ä¸å¯ã€‚\\ - optionsã¯ç·šç¨®\\ -\\ -例:中心A,åŠå¾„ABã®å††ã‚’æã„ã¦ãŠã。プロットデータå㯠crABã¨ãªã‚‹ã€‚\\ -  ã“ã®å††ã‚’\\ -  x軸方å‘ã«ï¼’,y軸方å‘ã«ï¼“ã ã‘平行移動ã™ã‚‹ã€‚\\ -  ベクトル$\overrightarrow{OC} $ã ã‘平行移動ã—,実線ã§å¤ªãæã。\\ -  ベクトル$\overrightarrow{OD} $ã ã‘平行移動ã—,破線ã§æã。\\ -  作æˆã•ã‚Œã‚‹ãƒ—ロットデータã®å称を tr1 , tr2 , tr3 ã¨ã™ã‚‹ã€‚ -\begin{verbatim} -  Circledata([A,B]); -  Translatedata("tr1","crAB",[2,3]); -  Translatedata("tr2","crAB",C,["dr,2"]); -  Translatedata("tr3","crAB",D,["da"]); -\end{verbatim} - \\ -       \input{Fig/translatedata} - -\end{description} - -\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} -\newpage -% =============================== -\subsection{å¾®ç©åˆ†ãªã©} - -\begin{description} - -\hypertarget{derivative}{} -\item[関数] Derivative(é–¢æ•°å¼ , 変数 , 値) -\item[機能] 関数ã®å¾®åˆ†ä¿‚数を求ã‚ã‚‹ -\item[説明] 関数å¼ã§ä¸Žãˆã‚‰ã‚ŒãŸé–¢æ•°ã®ï¼Œã€Œå¤‰æ•°ï¼å€¤ã€ã«ãŠã‘る微分係数を求ã‚る。\\ -値ã¯ï¼Œç‚¹ã®åº§æ¨™ã‚’用ã„ã‚‹ã“ã¨ãŒã§ãる。点Aã®x座標ã§ã‚ã‚Œã°ï¼Œ A.x ã¨ã™ã‚‹ã€‚\\ - -例:3次曲線上ã®ç‚¹Aã§æŽ¥ç·šã‚’引ã。点A,Bã¯ä½œå›³ãƒ„ールã§ã¨ã£ã¦ãŠã。 -\begin{verbatim} -  Deffun("f(x)",["regional(y)","y=x^3-4*x","y"]); -  coef=Derivative("f(x)","x",A.x); -  A.y=f(A.x); -  B.y=coef*(B.x-A.x)+A.y; -  Plotdata("1","f(x)","x",["Num=200"]); -  Lineplot([A,B]); -  Letter([A,"ne","A"]); -\end{verbatim} - \\ -  \input{Fig/derivative}\\ - \\ -\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} - -\hypertarget{integrate}{} -\item[関数] integrate(é–¢æ•°å¼ , 変数 , 範囲 , options) -\item[関数] integrate(PD , 範囲 , options) -\item[機能] 関数å¼ã¾ãŸã¯ãƒ—ロットデータã§ä¸Žãˆã‚‰ã‚ŒãŸæ›²ç·šã®ç©åˆ†å€¤ã‚’求ã‚ã‚‹ -\item[説明] 関数å¼ã¾ãŸã¯ãƒ—ロットデータã§ä¸Žãˆã‚‰ã‚ŒãŸæ›²ç·šã®ï¼ŒæŒ‡å®šã•ã‚ŒãŸç¯„囲ã®å®šç©åˆ†ã®å€¤ã‚’求ã‚る。\\ -関数を与ãˆãŸã¨ãã®optionsã¯æ¬¡ã®é€šã‚Šã€‚\\ - "Rule=s"  : シンプソン法ã«ã‚ˆã‚‹ã€‚デフォルトã¯å°å½¢å…¬å¼ã€‚\\ -         "R=s"ã¨ç•¥è¨˜ã§ãる。\\ - "Num=数値" : 分割数ã®æŒ‡å®šã€‚åˆæœŸå€¤ã¯ 100 \\ - 一般ã«ã¯ã‚·ãƒ³ãƒ—ソン法ã®æ–¹ãŒç²¾åº¦ãŒã‚ˆã„ãŒï¼Œãã†ã§ã¯ãªã„å ´åˆã‚‚ã‚る。\\ - \\ -例:$f(x)=x^3-2x^2+2$ ã«ã¤ã„ã¦ï¼Œ0ã‹ã‚‰3ã¾ã§ã®å®šç©åˆ†ã®å€¤ã‚’求ã‚る。\\ - CindyScriptã§ã¯ï¼Œguess()関数を用ã„ã‚‹ã¨ï¼Œå¯èƒ½ãªå ´åˆã¯å€¤ã‚’分数表記ã«ã™ã‚‹ã€‚ -\begin{verbatim} -  f(x):=x^3-2*x^2+2; -  println(guess(Integrate("f(x)","x",[0,3],["Num=200"]))); -  println(guess(Integrate("f(x)","x",[0,3],["Num=5","Rule=s"]))); -\end{verbatim} -を実行ã™ã‚‹ã¨ï¼Œã‚³ãƒ³ã‚½ãƒ¼ãƒ«ã«çµæžœãŒè¡¨ç¤ºã•ã‚Œã‚‹ã€‚シンプソン法ã§ã¯ 33/4 ã¨è¡¨ç¤ºã•ã‚Œã‚‹ã€‚ -整関数ã®å ´åˆï¼Œã‚·ãƒ³ãƒ—ソン法ã§ã¯åˆ†å‰²æ•°ãŒã‹ãªã‚Šå°‘ãªãã¦ã‚‚高ã„精度ãŒå¾—られる。\\ -整関数ã§ãªã„å ´åˆï¼Œåˆ†å‰²æ•°ã‚’区間幅ã®10ã®æ•´æ•°å€ã«ã™ã‚‹ã¨ã‚ˆã„精度ã«ãªã‚‹ã€‚\\ -ãŸã¨ãˆã°ï¼Œ$f(x)=\sqrt{x} $ã®å ´åˆï¼ŒåŒºé–“㌠[2,9] ã§ã‚ã‚Œã°ï¼ŒNum=100 よりも Num=70 ã®æ–¹ãŒç²¾åº¦ãŒã‚ˆã„。\\ - \\ - プロットデータを与ãˆãŸã¨ãã¯ï¼Œã‚¢ãƒ«ã‚´ãƒªã‚ºãƒ ãŒç•°ãªã‚‹ã®ã§ä¸Šè¨˜ã‚ªãƒ—ションã¯ç„¡åŠ¹ã€‚\\ -例:上ã®ä¾‹ã¨åŒã˜é–¢æ•°ã‚’プロットデータã§æŒ‡å®šã™ã‚‹ã€‚ -\begin{verbatim} -  plotdata("1","x^3-2*x^2+2","x"); -  println(Integrate("gr1",[0,3])); -\end{verbatim} - \\ - プロットデータã§ä¸Žãˆã‚‹æ–¹æ³•ã¯ï¼ŒRを利用ã—ã¦æ­£è¦åˆ†å¸ƒæ›²ç·šã‚’æã„ãŸã¨ããªã©ã«è¨˜è¿°ãŒæ¥½ã«ãªã‚‹ã€‚\hyperlink{plotdatar}{PlotdataR()} ã®é …ã‚’å‚ç…§ã®ã“ã¨ã€‚\\ - \\ - -\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} -\newpage -\hypertarget{invesefun}{} -\item[関数] Inversefun(関数 , 範囲 , 値) -\item[機能] 関数ã®é€†é–¢æ•°å€¤ã‚’求ã‚ã‚‹ -\item[説明] 関数ã¯æ–‡å­—列ã§ï¼Œé–¢æ•°å¼ã‚‚ã—ãã¯å®šç¾©ã•ã‚ŒãŸé–¢æ•°åã¨ã™ã‚‹ã€‚\\ - 指定ã•ã‚ŒãŸç¯„囲ã®ä¸­ã§é€†é–¢æ•°å€¤ã‚’求ã‚る。存在ã—ãªã„å ´åˆã¯ä¸€æ–¹ã®ç«¯ç‚¹ã‚’戻り値ã¨ã—,コンソールã«ã€Œnot foundã€ã¨è¡¨ç¤ºã•ã‚Œã‚‹ã€‚\\ - 数å¼å‡¦ç†ã§ã¯ãªã数値探索ã®ã‚¢ãƒ«ã‚´ãƒªã‚ºãƒ ã‚’使ã£ã¦ã„ã‚‹ã®ã§ï¼Œå˜èª¿é–¢æ•°ã§ãªã„å ´åˆã¯ç¯„囲をã§ãã‚‹ã ã‘ç‹­ãã¨ã‚‹ã¨ã‚ˆã„。値ãŒè¤‡æ•°ã‚ã‚‹å ´åˆã¯ï¼Œå°ã•ã„ã»ã†ãŒè¿”ã•ã‚Œã‚‹ã€‚\\ - -例:\verb|x=Inversefun("sin(x)","x=[0,pi/2]",0.5);|\\ -  実行ã™ã‚‹ã¨ $x=\dfrac{\pi}{6}$ ã¨ãªã‚‹ã€‚ -\begin{verbatim} -   Deffun("f(x)", ["regional(y)","y=sin(x)","y"]); -   x=Inversefun("f(x)","x=[0,pi/2]",0.5); -\end{verbatim} -  ã§ã‚‚åŒã˜çµæžœãŒè¿”ã•ã‚Œã‚‹ã€‚\\ -   \verb|x=Inversefun("f(x)","x=[pi/3,pi]",0.97);|\\ -  ã¯åŒºé–“設定ãŒä¸é©åˆ‡ã§æ­£ã—ã„çµæžœãŒå¾—られãªã„。\\ - \\ -例:アステロイド上ã«ç‚¹Pã‚’ã¨ã‚Šï¼ŒPã®$x$座標ã‹ã‚‰ï¼Œé€†é–¢æ•°å€¤$t$を求ã‚ã¦æŽ¥ç·šã‚’引ã。\\ -  ã§ããŸç‚¹Pã¯ãƒ‰ãƒ©ãƒƒã‚°ã—ã¦ã‚¢ã‚¹ãƒ†ãƒ­ã‚¤ãƒ‰ä¸Šã‚’å‹•ã‹ã™ã“ã¨ãŒã§ãる。 -\begin{verbatim} -   Deffun("fx(t)", ["regional(x)","x=2*cos(t)^3","x"]); -   Deffun("fy(t)", ["regional(y)","y=2*sin(t)^3","y"]); -   Paramplot("1","[fx(t),fy(t)]","t=[0,2*pi]"); -   PutonCurve("P",gp1,1); -   if(P.y>=0,range="t=[0,pi]",range="t=[pi,2*pi]"); -   t0=Inversefun("fx(t)",range,P.x); -   dx=Derivative("fx(t)","t",t0); dy=Derivative("fy(t)","t",t0); -   Putpoint("Q",[0,0],P.xy+[dx,dy]); -   Lineplot([P,Q]); -   Drawpoint(P); -   Letter(P,"ne","P"); -\end{verbatim} -            \input{Fig/inversefun} - -\end{description} -\newpage -%=================================== -\subsection{作表} - -\begin{description} - -\hypertarget{tabledata}{} -\item[関数] Tabledata(name , 縦横データ, 除外線 , options) -\item[機能] 表ã®æž ã‚’作æˆã—,表ã®ãƒ‡ãƒ¼ã‚¿list を返㙠-\item[説明] Cinderellaã®æç”»é¢ä¸Šã«å·¦ä¸‹ã‚’原点ã¨ã™ã‚‹è¡¨ã‚’作æˆã™ã‚‹ã€‚\\ - 他ã®é–¢æ•°ã¨ã®å¼•æ•°ã®æ•´åˆæ€§ï¼Œ\ketpic ã®ã‚³ãƒžãƒ³ãƒ‰ã¨ã®æ•´åˆæ€§ãªã©ã‹ã‚‰ï¼Œå…ˆé ­ã«nameã®å¼•æ•°ã‚’ã¤ã‘ã‚‹ãŒï¼Œå®Ÿéš›ã«ã¯ã‚ã¾ã‚Šåˆ©ç”¨ã—ãªã„ã®ã§ï¼Œç©ºæ–‡å­—""ã§ã‚‚よã„。\\ - optionsã¯ç·šç¨®ã¨"notex"ãªã©ã€‚\\ - 縦横データã«ã¯ï¼Œæ¬¡ã®ï¼’通りã®æ›¸å¼ãŒã‚る。\\ - \\ -(1) 横ã®ã‚»ãƒ«æ•° , 縦ã®ã‚»ãƒ«æ•° , 表ã®æ¨ªå¹… , 表ã®ç¸¦å¹… を指定ã™ã‚‹ã€‚\\ - 例: \verb|Tabledata("",4,5,80,50,[]);|\\ -(2) 横ã¨ç¸¦ã®å¹…を指定ã—ãŸãƒªã‚¹ãƒˆã‚’使ã†\\ - 例: \verb|Yoko=[20,20,20,20];|\\ -    \verb|Tate=[10,10,10,10,10];|\\ -    \verb|Tabledata("",Yoko,Tate,[]);|\\ - 上ã®ï¼’ã¤ã®ã‚¹ã‚¯ãƒªãƒ—トã¯åŒã˜è¡¨ã‚’作æˆã™ã‚‹ã€‚å¹…ã¯Cinderellaã®æç”»é¢ã®0.1ã‚’å˜ä½ã¨ã™ã‚‹ã€‚\\ - 作æˆã•ã‚ŒãŸè¡¨ã«ã¯ï¼Œè¡Œï¼Œåˆ—ã®åˆ¶å¾¡ç‚¹ãŒã¤ã。画é¢ä¸Šã§ã¯ï¼Œæ¨ªç½«ç·šã®ç•ªå· r0,r1,・・・ 縦罫線ã®ç•ªå· c1,c2,・・・ã¨è¦‹ã‚‹ã“ã¨ã‚‚ã§ãる。ã¾ãŸï¼Œç¸¦å¹…,横幅ãŒæ•°å­—ã§ç¤ºã•ã‚Œã‚‹ã€‚ãŸã ã—,ã“れらã¯\TeX ã«ã¯å‡ºåŠ›ã•ã‚Œãªã„。\\ - ã¾ãŸï¼Œä½œè¡¨ã¯Cinderellaã®æç”»é¢ä¸Šã§ã¯åº§æ¨™å¹³é¢ä¸Šã«ç½®ã‹ã‚Œã‚‹ãŒï¼Œ\TeX ã¸ã®å‡ºåŠ›ã¯åº§æ¨™å¹³é¢ä¸Šã«ã¯ç½®ã‹ãªã„ã“ã¨ãŒå¤šã„ã®ã§ï¼Œåº§æ¨™è»¸ã¯éžè¡¨ç¤ºã¨ã—ã¦ã„る。\\ - -\includegraphics[bb=0 0 807 499 , width=6cm]{Fig/table01.png} →  -\input{Fig/table02}\\ - - 表ã®ã‚µã‚¤ã‚ºï¼Œè¡Œå¹…,列幅ã¯ï¼Œä½œæˆå¾Œã«ãã‚Œãžã‚Œã®åˆ¶å¾¡ç‚¹ã‚’ドラッグã™ã‚‹ã“ã¨ã«ã‚ˆã‚Šä»»æ„ã«å¤‰ãˆã‚‹ã“ã¨ãŒã§ãる。\\ - - 除外線ã¯ï¼Œé™¤å¤–ã™ã‚‹ã‚»ãƒ«ã®ç½«ç·šã‚’,rã¨c ã§ä½ç½®æŒ‡å®šã™ã‚‹ã€‚\\ -  横罫線ã®å ´åˆï¼Œæ¨ªç½«ç·šã®ç•ªå·ï¼Œç¯„囲(ã‹ã‚‰ï¼Œã¾ã§ï¼‰\\ -  縦罫線ã®å ´åˆï¼Œç¸¦ç½«ç·šã®ç•ªå·ï¼Œç¯„囲(ã‹ã‚‰ï¼Œã¾ã§ï¼‰\\ -ã¨ã™ã‚‹ã€‚\\ - - 例:\verb|Rmv=["r1c0c1","c3r0r1","c3r3r5","r4c2c4"];|\\ -   \verb|Tabledata("",4,5,80,50,Rmv);|\\ - ã§ï¼Œæ¬¡ã®è¡¨ãŒã§ãる。\\ - \\ -     \includegraphics[bb=0 0 784 503 , width=6cm]{Fig/table03.png}\\ - 除外ã™ã‚‹ç½«ç·šãŒãªã„å ´åˆã¯ï¼Œç©ºãƒªã‚¹ãƒˆã¨ã™ã‚‹ã€‚\\ - - 例:\verb|Tabledata("",Yoko,Tate,[]);|\\ -\\ - Tabledata()関数ã¯ï¼Œåˆ¶å¾¡ç‚¹r0,r1,・・・,c0,c1,・・・ ãŒãªã‘ã‚Œã°æ–°ã—ã作り,ã™ã§ã«å­˜åœ¨ã™ã‚‹å ´åˆã¯ãã®ã¾ã¾ã¨ã™ã‚‹ã€‚ã—ãŸãŒã£ã¦ï¼Œä¸€åº¦è¡¨ã‚’作æˆã—ãŸã®ã¡ï¼Œè¡Œæ•°ãƒ»åˆ—数を修正ã—ã¦ä½œã‚Šç›´ã™å ´åˆã¯ï¼Œä¸€åº¦æ—¢å­˜ã®ç‚¹ã‚’消去ã™ã‚‹å¿…è¦ãŒã‚る。ãã®ãŸã‚ã«ã¯ï¼Œã€Œã™ã¹ã¦ã®ç‚¹ã‚’é¸æŠžã™ã‚‹ã€ãƒ„ールをクリックã—ã¦ç‚¹ã‚’消去ã™ã‚‹ã®ãŒã‚ˆã„。クリックã™ã‚‹ã¨ï¼Œæ¶ˆåŽ»å¾Œã™ãã«æ–°è¦ä½œæˆã•ã‚Œã‚‹ã€‚\\ - ã™ã§ã«ä»–ã®ç‚¹ã‚’æç”»ã—ã¦ã—ã¾ã£ãŸå ´åˆã¯ï¼Œè¡¨ç¤ºãƒ¡ãƒ‹ãƒ¥ãƒ¼ã®ã€Œå¼ã«ã‚ˆã‚‹è¡¨ç¤ºã€ã§ä¸€è¦§è¡¨ã‚’出ã—ã¦ï¼Œåˆ¶å¾¡ç‚¹ã‚’é¸æŠžã—ã¦æ¶ˆåŽ»ã™ã‚‹ã€‚\\ - ãŸã ã—,行数,列数ãŒå¤šã™ãŽãŸå ´åˆã¯ï¼Œå¿…ãšã—も作り直ã™å¿…è¦ã¯ãªã„。Settable() 関数ã«ã‚ˆã‚Šï¼Œå®Ÿéš›ã«æ›¸ã出ã™è¡¨ã®ç¯„囲を指定ã§ãã‚‹ã‹ã‚‰ã§ã‚る。\\ - - ãªãŠï¼Œè¡¨ã‚’作æˆã—ãŸã¨ãã¯ï¼Œè¡¨ã®ç¯„囲ãŒå‡ºåŠ›ç¯„囲ã¨ã—ã¦å„ªå…ˆã•ã‚Œã‚‹ï¼ˆTabledata()を実行ã—ãŸã¨ã)ã®ã§ï¼Œè¡¨å¤–ã«å›³ã‚’æã„ãŸå ´åˆã¯ï¼Œæœ€å¾Œã«ã“ã®é–¢æ•°ã§å‡ºåŠ›ç¯„囲を指定ã—ã¦æ›¸ã出ã™ã€‚\\ - -\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} - -\hypertarget{tabledatalight}{} -\item[関数] Tabledatalight(name , 縦横データ, 除外線 , options) -\item[機能] 幾何点をæŒãŸãªã„表ã®æž ã‚’作æˆã—,表ã®ãƒ‡ãƒ¼ã‚¿list を返㙠-\item[説明] Tabledata()ãŒCinderellaã®å¹¾ä½•ç‚¹ã‚’生æˆã™ã‚‹ã®ã«å¯¾ã—,ã“ã¡ã‚‰ã¯å¹¾ä½•ç‚¹ã‚’生æˆã—ãªã„。\\ - 幾何点を作æˆã—ãªã„メリットã¯ï¼Œã‚¹ã‚¯ãƒªãƒ—トã ã‘ã§ç¸¦æ¨ªå¹…を変更ã§ãã‚‹ã“ã¨ã€‚デメリットã¯ã‚¤ãƒ³ã‚¿ãƒ©ã‚¯ãƒ†ã‚£ãƒ–ãªå¾®èª¿æ•´ãŒã§ããªã„ã“ã¨ã€‚\\ - optionã¨ã—ã¦ï¼Œãƒ©ãƒ™ãƒ«ã®ã‚¹ã‚­ãƒƒãƒ—値(スキップã™ã‚‹ã¨ã“ã‚ã¯è¡¨ç¤ºã•ã‚Œãªã„)を指定ã™ã‚‹ã“ã¨ãŒã§ãる。ãŸã ã—,ラベルã¯Cinderellaã®ç”»é¢ä¸Šã ã‘ã®å•é¡Œã€‚\\ - \\ - 例: \verb|Yoko=[20,20,20,20];|\\ -   \verb|Tate=[10,10,10,10,10];|\\ -   \verb|Tabledatalight("",Yoko,Tate,[],[2]);|\\ - ã¨ã™ã‚‹ã¨ï¼Œr1,r3,c1,c2 ãŒéžè¡¨ç¤ºã¨ãªã‚‹ã€‚\\ - - -\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} - -\hypertarget{tableseg}{} -\item[関数] Tableseg( 罫線リスト, 線種) -\item[機能] 罫線ã®ç·šç¨®ã‚’指定ã™ã‚‹ -\item[説明] 罫線リストを与ãˆã¦ç·šç¨®ã‚’指定ã™ã‚‹\\ - 罫線リストã¯ï¼Œ["r1c0c1","r4c2c4"] ã®ã‚ˆã†ã«ä¸Žãˆã‚‹ã€‚\\ - 破線・点線ã«ã™ã‚‹å ´åˆã¯ï¼ŒTabledata()ã§ã‚らã‹ã˜ã‚除外ã—ã¦ãŠã。\\ - - 例: \verb|Rmv=["r1c0c1","c3r0r1","c3r3r5","r4c2c4"];|\\ -   \verb|Tabledata("",4,5,80,50,Rmv);|\\ -   \verb|Tableseg(["r1c0c1","r4c2c4"],["da"]);|\\ - -     \input{Fig/tableseg}\\ - - 注)R0,C0,・・ã¯å®Ÿéš›ã«ã¯è¡¨ç¤ºã•ã‚Œãªã„\\ - \\ -\hypertarget{changetablestyle}{} -\item[関数] ChangeTablestyle(罫線リスト, 変更オプション) -\item[機能] Table ã®ç½«ç·šã®æ画オプションを変更 -\item[説明] 罫線を部分的ã«æŒ‡å®šã—ã¦æ画オプションを変更ã§ãる。\\ - \\ -例:\verb|ChangeTablestyle(["r0c0c3"],["da"]);| - \\ - \\ -\hypertarget{findcell}{} -\item[関数] Findcell(列番å·, 行番å·) -\item[機能] セルã®æƒ…å ±list(中心,横幅ï¼ï¼’,縦幅ï¼ï¼’)を返㙠-\item[説明] 列番å·ï¼Œè¡Œç•ªå·ã¯å·¦ä¸Šã®ã‚»ãƒ«ã‚’1列1行ã¨ã—ã¦æ•°ãˆã‚‹ã€‚ \\ - -例:\verb|Tabledata(4,5,80,50,[]);|\\ -  \verb|println(Findcell(tb,2,1));|\\ -  ã¨ã™ã‚‹ã¨ï¼Œï¼’列1行ã®ã‚»ãƒ«ã®ä¸­å¿ƒã®åº§æ¨™ã¨æ¨ªå¹…ã®åŠåˆ†ï¼Œç¸¦å¹…ã®åŠåˆ†ã®å€¤ãŒãƒªã‚¹ãƒˆã¨ã—ã¦ã‚³ãƒ³ã‚½ãƒ¼ãƒ«ã«è¡¨ç¤ºã•ã‚Œã‚‹ã€‚çµæžœã¯ [[3,4.5],1,0.5]\\ - -\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} - -\hypertarget{putcell}{} -\item[関数] Putcell (列番å·, 行番å·, ä½ç½®, 文字データ) -\item[機能] セルã«æ–‡å­—列を入れる -\item[説明] 複数ã®ã‚»ãƒ«ã«ã¾ãŸãä½ç½®æŒ‡å®šã®å ´åˆï¼Œåˆ—番å·ï¼Œè¡Œç•ªå·ã¯ï¼Œã‚»ãƒ«å·¦ä¸Šã¨å³ä¸‹ã®åˆ¶å¾¡ç‚¹ã®å称ã§æŒ‡å®šã™ã‚‹ã€‚\\ - ä½ç½®ã¯ã€€c, r, l, t, b (中央center , å³right , å·¦left , 上top , 下bottom )\\ - ä½ç½®ã®ä¾‹ã‚’以下ã«ç¤ºã™ã€‚ -\begin{verbatim} -  Tabledata("",5,2,100,40,["c1r1r2","c4r1r2"]); -  Putcell(1,1,"c","A"); -  Putcell(2,1,"r","B"); -  Putcell(3,1,"l","C"); -  Putcell(4,1,"t","D"); -  Putcell(5,1,"b","E"); -  Putcell(c0r1,c2r2,"c","F"); -  Putcell(c2r1,c3r2,"lb","G"); -  Putcell(c3r1,c5r2,"rt","H"); -\end{verbatim} - \\ -   \input{Fig/putcell}\\ - ※R0,C0,・・ã¯å®Ÿéš›ã«ã¯è¡¨ç¤ºã•ã‚Œãªã„\\ - -\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} - -\hypertarget{putcol}{} -\item[関数] PutcoL (列番å·, 文字ä½ç½®ï¼Œæ–‡å­—列リスト) -\item[機能] 1列ã«é †ã«æ–‡å­—を書ã入れる -\item[説明] 列番å·ã§æŒ‡å®šã—ãŸåˆ—ã«ï¼Œç¬¬ï¼‘è¡Œã‹ã‚‰é †ã«æ–‡å­—列リストã®æ–‡å­—を書ã入れる\\ - 数ã®å ´åˆã¯ãƒ€ãƒ–ルクウォートã§ããらãªãã¦ã‚‚よã„。\\ - セルを飛ã°ã™å ´åˆã¯ï¼ŒãƒŒãƒ«æ–‡å­—列 "" を書ã。\\ - - -\hypertarget{putcolexpr}{} -\item[関数] PutcoLexpr (列番å·, 文字ä½ç½®ï¼Œæ–‡å­—列リスト) -\item[機能] 1列ã«é †ã«æ–‡å­—を書ã入れる -\item[説明] 文字列ã«\TeX 書å¼ã‚’使ã†ã“ã¨ãŒã§ãã‚‹\\ - -\hypertarget{putrow}{} -\item[関数] Putrow (行番å·, 文字ä½ç½®ï¼Œæ–‡å­—列リスト) -\item[機能] 1行ã«é †ã«æ–‡å­—を書ã入れる -\item[説明] 行番å·ã§æŒ‡å®šã—ãŸè¡Œã«ï¼Œç¬¬ï¼‘列ã‹ã‚‰é †ã«æ–‡å­—列リストã®æ–‡å­—を書ã入れる。\\ - - -\hypertarget{putrowexpr}{} -\item[関数] Putrowexpr (行番å·, 文字ä½ç½®ï¼Œæ–‡å­—列リスト) -\item[機能] 1行ã«é †ã«æ–‡å­—を書ã入れる -\item[説明] 文字列ã«\TeX 書å¼ã‚’使ã†ã“ã¨ãŒã§ãã‚‹\\ - -文字を入れる例を示ã™ã€‚ -\begin{verbatim} -  Tabledata("",5,3,100,45,["c1r1r2","r1c2c3","r2c2c3"]); -  PutcoL(3,"c",["A","B","C"]); -  PutcoLexpr(4,"l",["x^2","y=\sqrt{x^3}"]); -  Putrow(1,"c",[1,"二"]); -  Putrowexpr(3,"c",["","\frac{\pi}{2}","","","\sum{x^2}"]); -\end{verbatim} - -     \input{Fig/putcol}\\ - - ※ R0,C0,・・ã¯å®Ÿéš›ã«ã¯è¡¨ç¤ºã•ã‚Œãªã„\\ -  ã¾ãŸï¼Œã“ã®ä¾‹ã§ã¯ï¼ŒC4列ã®ç½«ç·šã‚’,制御点C4をドラッグã™ã‚‹ã“ã¨ã«ã‚ˆã‚Š\\ -  å³ã«ãšã‚‰ã—ã¦ã„る。\\ -\\ - -グラフや文を入れãŸè¡¨ã®ä½œæˆä¾‹\\ - - PutcoLexpr(),Putrowexpr() ã§ã¯ï¼Œæ•°å¼ã ã‘ã§ãªã,一般ã®\TeX ã®æ–‡ã‚’入れるã“ã¨ãŒã§ãる。\\ - ã¾ãŸï¼Œã‚°ãƒ©ãƒ•ã®ä½ç½®ã‚’é©å½“ã«åˆã‚ã›ã¦æç”»ã™ã‚‹ã“ã¨ã«ã‚ˆã‚Šï¼Œè¡¨ã®ã‚»ãƒ«ã®ä¸­ã«ã‚°ãƒ©ãƒ•ã‚’入れるã“ã¨ãŒã§ãる。\\ - - 例:2次関数ã®ã‚°ãƒ©ãƒ•ã¨ï¼’次方程å¼ã®åˆ¤åˆ¥å¼ã®é–¢ä¿‚\\ -  セルã®ä¸­ã«ã‚°ãƒ©ãƒ•ã‚’æã例。実際ã«ã¯ï¼Œã‚»ãƒ«ã®ä½ç½®ã«ã‚°ãƒ©ãƒ•ã‚’æã„ã¦ã„ã‚‹ã ã‘。 -\begin{verbatim} -  Tabledata("",3,3,120,90,["r1c0c3","r2c0c3"],["dr,2"]); -  Tableseg(["r1c0c3"],["dr"]); -  Tableseg(["r2c0c3"],["da"]); -  Plotdata("1","(x-2)^2+1.5","x=[0.5,3.5]"); -  Plotdata("2","(x-6)^2+2","x=[4.5,7.5]"); -  Plotdata("3","(x-10)^2+2.5","x=[8.5,11.5]"); -  Listplot([A,B]); -  Listplot([C,D]); -  Listplot([E,F]); -  Putrowexpr(1,"c",["D>0","D=0","D<0"]); -  Putrow(2,"c",["2点ã§äº¤ã‚ã‚‹","接ã™ã‚‹","共有点ãªã—"]); -  Letter(G,"c","判別å¼ã¨$x$軸ã®äº¤ç‚¹"); -\end{verbatim} - \\ -       \input{Fig/tablesample1}\\ -\\ -注æ„:ã“ã®ä¾‹ã‚’実行ã™ã‚‹ã¨ã‚ã‹ã‚‹ãŒï¼Œã‚»ãƒ«ã®ã‚µã‚¤ã‚ºã¨æ–‡å­—サイズã®é–¢ä¿‚ãªã©ã«ã‚ˆã‚Šï¼ŒCinderellaã®ç”»é¢ä¸Šã¨\TeX ã¸ã®æ›¸ã出ã—ã¯å¿…ãšã—ã‚‚åŒä¸€ã«ã¯ãªã‚‰ãªã„。\\ - -\newpage - 例:増減表ã¨ã‚°ãƒ©ãƒ•\\ - - 関数ã®å¢—減表ã¨ã‚°ãƒ©ãƒ•ã‚’1ã¤ã®è¡¨ã®ä¸­ã«å…¥ã‚ŒãŸä¾‹ã€‚ -\begin{verbatim} -  Tate=[6,6,10,6,10,6,40]; -  Yoko=[30,6,6,6]; -  Rmv=["c1r0r1","c2r0r1","c3r0r1","c4r0r1","c5r0r1", "r1c6c7","r2c6c7","r3c6c7"]; -  Tabledata("",Tate,Yoko,Rmv,["dr"]); -  Tlistplot("23d",["c1r2","c2r3"]); -  Tlistplot("23u",["c1r3","c2r2"]); -  Putrowexpr(2,"c",["x",0,"\cdots","\tfrac{1}{4}","\cdots",4]); -  Putrowexpr(3,"c",["y`","","-",0,"+"]); -  Putrowexpr(4,"c",["y",0,"\searrow","-\tfrac{1}{4}","\nearrow",2]); -  Putcell(1,1,"l2t2","{\small\begin{minipage}{44mm}$y=x-\sqrt{x}$\\$y`= -  \dfrac{2\sqrt{x}-1}{2\sqrt{x}}=0$|より\vspace{1mm}\\\hspace*{2zw}$x= -  \dfrac{1}{4}$\vspace{1mm}\\増減表ã¯æ¬¡ã®ã‚ˆã†ã«ãªã‚‹\end{minipage}}" ); -  Plotdata("1","x-sqrt(x)","x=[0,3]",["do","notex"]); -  Listplot("2",[[0,0],[3,0]],["do","notex"]); -  Listplot("3",[[0,-0.5],[0,3]],["do","notex"]); -  Translatedata("1","gr1",[4.9,1],["dr"]); -  Translatedata("2","sg2",[4.9,1],["dr"]); -  Translatedata("3","sg3",[4.9,1],["dr"]); -  Letter(Ptend(tr2),"e1","\small{$x$}"); -  Letter(Ptend(tr3),"n1","\small{$y$}"); -  Letter(Ptstart(tr2),"w1","\small O"); -  Expr(Ptend(tr1),"nw-2","y=x-\sqrt{x}"); -\end{verbatim} -       \input{Fig/tablesample2} -\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} - -\hypertarget{settable}{} -\item[関数] Settable((左上) , å³ä¸‹) -\item[機能] 表データを書ã出㙠-\item[説明] 指定ã•ã‚ŒãŸç¯„囲ã§è¡¨ã®æž ç·šã‚’書ã出ã™ã€‚指定ã—ãªã‘ã‚Œã°å…¨ä½“ãŒæ›¸ã出ã•ã‚Œã‚‹ã€‚\\ - 表ã®å‡ºåŠ›ç¯„囲ã¯ï¼ŒNE,SWã«ã‚ˆã‚‹æ画範囲ã«ã‹ã‹ã‚‰ã‚ãšï¼Œå…¨ä½“ã‚‚ã—ãã¯Settable()ã§æŒ‡å®šã—ãŸç¯„囲ã¨ãªã‚‹ã€‚\\ - ä½ç½®ã¯ï¼Œåˆ¶å¾¡ç‚¹ã«ã‚ˆã‚‹ä½ç½®è¡¨ç¤ºã§ï¼Œc2r3 ã®ã‚ˆã†ã«æŒ‡å®šã™ã‚‹ã€‚\\ - c,rã¯å°æ–‡å­—㧠c,r ã®é †ã€‚\\ - 左上をçœç•¥ã™ã‚‹ã¨ï¼Œãƒ‡ãƒ•ã‚©ãƒ«ãƒˆã® c0r0 ã¨è§£é‡ˆã•ã‚Œã‚‹ã€‚\\ - -例:\verb|Tabledata("",4,5,80,50,[]);|\\ -  \verb|repeat(5,s, Putrow(s,"c",[s*4-3,s*4-2,s*4-1,s*4]));|\\ -  \verb|Settable(c4r5);|\\ - - 2行目ã§å„セルã«æ•°å­—を入れã¦ã„る。\\ - 左上ã¨å³ä¸‹ï¼ˆç½«ç·šC4ã¨R5ã®äº¤ç‚¹ï¼‰ã‚’対角ã¨ã™ã‚‹ç¯„囲,ã™ãªã‚ã¡å…¨ä½“を書ã出ã™ã€‚\\ -  \verb|Settable(c3r4);|\\ - ã¨ã™ã‚‹ã¨ï¼Œå·¦ä¸Šã¨å³ä¸‹ï¼ˆç½«ç·šC3ã¨R4ã®äº¤ç‚¹ï¼‰ã‚’対角ã¨ã™ã‚‹ç¯„囲。\\ - 出力ã™ã‚‹ã®ã¯ç½«ç·šã ã‘ãªã®ã§ï¼Œã‚»ãƒ«ã®ä¸­èº«ã¯ãã®ã¾ã¾è¡¨ç¤ºã•ã‚Œã‚‹ã€‚(下図左)\\ -  \verb|Settable(c1r1,c3r4);|\\ - ã¨ã™ã‚‹ã¨ï¼Œå·¦ä¸Šï¼ˆç½«ç·šC1ã¨R1ã®äº¤ç‚¹ï¼‰ã¨å³ä¸‹ï¼ˆç½«ç·šC3ã¨R4ã®äº¤ç‚¹ï¼‰ã‚’対角ã¨ã™ã‚‹ç¯„囲。\\ - 罫線ã ã‘ãªã®ã§ï¼Œã‚»ãƒ«ã®ä¸­èº«ã¯ãã®ã¾ã¾è¡¨ç¤ºã•ã‚Œã‚‹ã€‚(下図å³ï¼‰\\ -\\ -  \input{Fig/settable1}        \input{Fig/settable2}\\ - \\ - \\ -\hypertarget{tgrid}{} -\item[関数] Tgrid(セルラベル) -\item[機能] 表ã®ã‚»ãƒ«ã®åº§æ¨™ã‚’返㙠-\item[説明] 指定ã•ã‚ŒãŸã‚»ãƒ«ã®å·¦ä¸Šã®åº§æ¨™ã‚’è¿”ã™ã€‚実際ã«ã¯ï¼Œã‚»ãƒ«ãƒ©ãƒ™ãƒ«ã¯ç½«ç·šã‚’示ã—ã¦ã„ã‚‹ã®ã§ï¼ŒæŒ‡å®šã—ãŸç½«ç·šã®äº¤ç‚¹ï¼ˆæ ¼å­ç‚¹ï¼‰ã¨ã„ã†ã“ã¨ã‚‚ã§ãる。\\ - \\ -\hypertarget{tlistplot}{} -\item[関数] Tlistplot(セルラベル1,セルラベル2) -\item[機能] 指定ã•ã‚ŒãŸï¼’ã¤ã®æ ¼å­ç‚¹ã‚’線分ã§çµã¶ -\item[説明] セルã«æ–œç·šã‚’引ãã®ã«ç”¨ã„る。\\ -  例:\verb|Tlistplot(["c0r1","c1r2"]);| - \\ -\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} - -\end{description} - -\newpage - -%=================================== -\subsection{値ã®å–å¾—ã¨å…¥å‡ºåŠ›} - - 計算値やプロットデータã®å€¤ã‚’å–å¾—ã—ãŸã‚Šï¼ŒScilab用ã¨ã®ãƒ‡ãƒ¼ã‚¿ã®ã‚„ã‚Šã¨ã‚Šã‚’ã™ã‚‹ã€‚\\ -\begin{description} - -\hypertarget{crossprod}{} -\item[関数] Crossprod(リスト,リスト) -\item[機能] 2ã¤ã®ãƒ™ã‚¯ãƒˆãƒ«ã®å¤–ç©ã‚’求ã‚る。 -\item[説明] Cindyscriptã®çµ„ã¿è¾¼ã¿é–¢æ•° cross(リスト,リスト)ã¨åŒã˜ã€‚\\ - 例:\verb|Crossprod([1,0,0],[1,1,1]);|\\ -   çµæžœã¯ã€€[0,-1,1]\\ - -\hypertarget{dotprod}{} -\item[関数] Dotprod(リスト,リスト) -\item[機能] 2ã¤ã®ãƒ™ã‚¯ãƒˆãƒ«ã®å†…ç©ã‚’求ã‚る。 -\item[説明] Cindyscriptã§ã¯ï¼Œç©ã®æ¼”ç®—ã§å†…ç©ãŒæ±‚ã‚られる。\\ - 例:\verb|Dotprod([1,2,3],[1,-1,1]);|\\ -   çµæžœã¯ã€€ï¼’\\ -   [1,2,3]*[1,-1,1] ã§ã‚‚åŒã˜çµæžœã‚’得る。\\ - -\hypertarget{findarea}{} -\item[関数] Findarea(プロットデータ) -\item[機能] プロットデータã§å›²ã¾ã‚Œã‚‹éƒ¨åˆ†ã®é¢ç©ã‚’求ã‚る。 -\item[説明] 閉曲線をãªã™ãƒ—ロットデータã§å›²ã¾ã‚Œã‚‹éƒ¨åˆ†ã®é¢ç©ã‚’求ã‚る。\\ -例:ベジェ曲線ã§å›²ã¾ã‚ŒãŸéƒ¨åˆ†ã®é¢ç©ã‚’求ã‚ã¦è¡¨ç¤ºã™ã‚‹ã€‚\\ -  \verb|Bezier("1",[A,B,C],[[D],[E,F]]);|\\ -  \verb|drawtext([2,1],Findarea("bz1"));|\\ - -\hypertarget{findlength}{} -\item[関数] Findlength(プロットデータ) -\item[機能] プロットデータã®æ›²ç·šã®é•·ã•ã‚’求ã‚る。 -\item[説明] プロットデータãŒæã曲線ã®é•·ã•ã‚’求ã‚る。\\ -例:ベジェ曲線ã§æã„ãŸæ›²ç·šã®é•·ã•ã‚’求ã‚ã¦è¡¨ç¤ºã™ã‚‹ã€‚\\ -  \verb|Bezier("1",[A,B,C],[[D],[E,F]]);|\\ -  \verb|drawtext([2,1],Findlength("bz1"));|\\ - - -\hypertarget{intersectcrvs}{} -\item[関数] Intersectcrvs(プロットデータ1, プロットデータ2, optionss) -\item[機能] 2曲線ã®äº¤ç‚¹ãƒªã‚¹ãƒˆã‚’å–å¾—ã™ã‚‹ã€‚ -\item[説明] オプションã¯å…±æœ‰ç‚¹ãŒã‚ã‚‹ã‹ã©ã†ã‹ã‚’判断ã™ã‚‹ãŸã‚ã®é™ç•Œå€¤\\ -ãŸã ã—,オプションã¯é€šå¸¸ã¯ä½¿ã‚ãªã„ã®ã§æ°—ã«ã—ãªãã¦ã‚ˆã„。\\ - \\ -例:円ã¨æ›²ç·šã®äº¤ç‚¹ã‚’P,Qã¨ã™ã‚‹ã€‚ -\begin{verbatim} -   Plotdata("1", "sin(x)", "x", ["Num=100"]); -   Circledata([A, B]); -   tmp=Intersectcrvs(gr1, crAB); -   P.xy=tmp_1; -   Q.xy=tmp_2; - \end{verbatim} - - リスト内ã«2交点ã®ãƒ‡ãƒ¼ã‚¿ãŒ tmpï¼[ [ $-0.37$, $-0.36$ ], [ 2.13, 0.85 ] ] ã®ã‚ˆã†ã«å…¥ã£ã¦ã„る。交点ã®é †åºã¯ PD1, PD2 ã®é †åºã¨æ›²ç·šã®å‘ãã«ã‚ˆã£ã¦æ±ºã¾ã‚‹ã€‚曲線ã®å‘ãã¯ï¼Œ$y=f(x)$ã®ã‚°ãƒ©ãƒ•ã§ã¯x座標ãŒå¢—加ã™ã‚‹å‘ãã§ï¼Œãƒ‘ラメーター表示曲線ã§ã¯ãƒ‘ラメータã®å¢—加ã™ã‚‹å‘ã。ã¾ãŸï¼ŒPD1 上ã‹ã‚‰æŽ¢ã—始ã‚㦠PD2 ã¨ã®äº¤ç‚¹ã‚’拾ã£ã¦ã‚†ã。\\ - 交点ãŒã²ã¨ã¤ã®å ´åˆã‚‚ tmpï¼[ [ 2.45, 0.63 ] ] ã¨2é‡ã®ãƒªã‚¹ãƒˆã«å…¥ã£ã¦ã„ã‚‹ã®ã§ï¼Œç‚¹ã¨ã—ã¦å–出ã™ã«ã¯ P=tmp\verb|_|1; ã¨ã™ã‚‹ã€‚\\ -\begin{center} -\input{Fig/Intersectcrvs1}\\ -\end{center} - -\hypertarget{invert}{} -\item[関数] Invert(PD) -\item[機能] プロットデータã®ç‚¹ã‚’逆順ã«ã™ã‚‹ï¼ˆreverseã¨åŒã˜ï¼‰ -\\ - -\hypertarget{meetcurve}{} -\item[関数] MeetCurve(曲線,x0, y0) -\item[機能] 曲線上ã®ç‚¹ã‚’è¿”ã™ã€‚ -\item[説明] x座標ãŒx0ã§ï¼Œç‚¹(x0, y0)ã«è¿‘ã„曲線上ã®ç‚¹ã‚’è¿”ã™ã€‚\\ -注)x0, y0 ã¯æ–‡å­—列ã§ã‚‚よã„。\\ - -\hypertarget{lcrd}{} -\item[関数] Lcrd() -\item[機能] 幾何点,リスト点ã®è«–ç†åº§æ¨™ã‚’å–å¾—ã™ã‚‹ã€‚ -\\ - -\hypertarget{pcrd}{} -\item[関数] Pcrd() -\item[機能] 幾何点,リスト点ã®ç‰©ç†ï¼ˆè¡¨ç¤ºï¼‰åº§æ¨™ã‚’å–å¾—ã™ã‚‹ã€‚ -\\ - - -\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} - -\hypertarget{nearestpt}{} -\item[関数] Nearestpt(PD1,PD2) -\item[機能] 2曲線ã«å¯¾ã—,最も近ã„点ã¨ãã®ãƒ‘ラメータ,è·é›¢ã®ãƒªã‚¹ãƒˆã‚’返㙠-\item[説明] 戻り値ã¯ï¼Œãã‚Œãžã‚Œã®æ›²ç·šä¸Šã®ç‚¹ã®åº§æ¨™ã¨ãƒ—ロットデータ中ã®ä½ç½®ï¼Œãã®è·é›¢ã‹ã‚‰ãªã‚‹ãƒªã‚¹ãƒˆã€‚\\ -例:2ã¤ã®æ”¾ç‰©ç·šä¸Šã®ç‚¹ã®æœ€çŸ­è·é›¢ã¨ãã®ä½ç½®ã‚’求ã‚る。点A,Bを作図ツールã§ã¨ã£ã¦ãŠã。 -\begin{verbatim} -  Plotdata("1", "x^2+2", "x=[-2,2]"); -  Plotdata("2", "-(x-2)^2","x=[0,3]"); -  plist=Nearestpt("gr2","gr1"); -  B.xy=plist_1; -  A.xy=plist_3; -  Listplot([A,B],["do"]); -  Ptsize(4); -  Drwpt([A,B]); -  Letter([A,"nw","A",B,"n2e","B",(A+B)/2,"e",text(plist_5)]); -\end{verbatim} -      \input{Fig/Nearestpt}\\ -\\ -ã“ã“㧠plistã«ä»£å…¥ã•ã‚ŒãŸãƒªã‚¹ãƒˆã¯æ¬¡ã®å½¢ã§ã‚る。5番目ã®è¦ç´ ãŒï¼’点間ã®è·é›¢ï¼Œã™ãªã‚ã¡æœ€çŸ­è·é›¢ã€‚\\ -  [[1.68,-0.1],29,[0.32,2.1],30,2.59] \\ - \\ -\hypertarget{nearestptcrv}{} -\item[関数] Nearestptcrv(座標, プロットデータ) -\item[機能] 第1引数ã®åº§æ¨™ã«æœ€ã‚‚è¿‘ã„曲線プロットデータ上ã®ç‚¹åº§æ¨™ã‚’返㙠-\item[説明] 次ã«ä¾‹ç¤ºã™ã‚‹ã€‚中心A,åŠå¾„ABã®å††ã¨ç‚¹C,Dã¯Cinderellaã§ä½œå›³ã—ã¦ãŠã。 -\begin{verbatim} -  Circledata([A, B]); -  Plotdata("1", "x^2", "x"); -  pCr=Nearestptcrv(C.xy, "crAB") -  pC1=Nearestptcrv(C.xy, "gr1") -  pDr=Nearestptcrv(D.xy, "crAB"); -  pD1=Nearestptcrv(D.xy, "gr1"); -\end{verbatim} -ãžã‚Œãžã‚Œï¼Œç‚¹C,点D ã‹ã‚‰æœ€ã‚‚è¿‘ã„曲線上ã®ç‚¹ã‚’表ã™ã€‚\\ - \\ -      \input{Fig/Nearestpt1}\\ - - \\ -\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} - -\hypertarget{numptcrv}{} -\item[関数] Numptcrv (プロットデータ) -\item[機能] 曲線ã®ç¯€ç‚¹ã®å€‹æ•°ã‚’返㙠-\item[説明] Cindyscript ã® length(PD)ã¨åŒã˜\\ - -例: 曲線上ã®ã„ãã¤ã‹ã®ç‚¹ã§åˆ†å‰²ã—ç ´ç·šã§å›³ç¤ºã™ã‚‹ã€‚\\ -区間$[-1, 2]$ã«å¯¾ã™ã‚‹2次関数ã®ã‚°ãƒ©ãƒ•ã‚’æã\\ -  \verb|Deffun("f(x)",["regional(y)","y=-x^2+4","y"]);|\\ -  \verb|Plotdata("1","f(x)","x=[-1,2]",["Num=200"]);|\\ -曲線ã®ç«¯ç‚¹ã‚’çµã¶ç›´ç·šã‚’æã\\ -  \verb|Lineplot("3",[Ptstart(gr1),Ptend(gr1)],["do"]);|\\ -節点ã®4分ã®ï¼‘ã§æ›²ç·šã‚’分割ã—ã¦ç ´ç·šã‚’æã\\ -  \verb|Lineplot("4",[Ptstart(gr1),Ptcrv(0.25*Numptcrv(gr1),gr1)],["da"]); |\\ -節点ã®2等分ã§æ›²ç·šã‚’分割ã—ã¦ç ´ç·šã‚’æã\\ -  \verb|Lineplot("5",[Ptstart(gr1),Ptcrv(0.5*Numptcrv(gr1),gr1)],["da"]); |\\ -節点ã®4分ã®3ã§æ›²ç·šã‚’分割ã—ã¦ç ´ç·šã‚’æã\\ -  \verb|Lineplot("6",[Ptstart(gr1),Ptcrv(0.75*Numptcrv(gr1),gr1)],["da"]);| \\ -曲線上ã®ç‚¹Aã®æŽ¥ç·šã‚’引ã。 -\begin{verbatim} -  coef=Derivative("f(x)","x",G.x); -  Defvar("DC=coef"); -  Deffun("g(x)",["regional(y)","y=DC*(x-G.x)+G.y","y"]); -  Plotdata("2","g(x)","x",["dr,2"]); -\end{verbatim} -  \\ -\input{Fig/numptcrv}\\ - -\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} - -\hypertarget{paramoncrv}{} -\item[関数] Paramoncrv(点ã®åº§æ¨™, 曲線ã®åå‰) -\item[機能] 曲線上ã®ç‚¹ã®ãƒ‘ラメータ値を返ã™ã€‚ -\item[説明] 曲線ã¯æŠ˜ã‚Œç·šã¨ã—ã¦æã‹ã‚Œã‚‹ãŒï¼Œæ›²ç·šä¸Šã®å„点ã¯ã“ã®æŠ˜ã‚Œç·šã®ç¯€ç‚¹ã‚’基準ã¨ã—ãŸãƒ‘ラメータ値をæŒã¤ã€‚パラメータ値ã¯æ•´æ•°éƒ¨åˆ†ãŒç¯€ç‚¹ã®ç•ªå·ï¼Œå°æ•°éƒ¨åˆ†ãŒç¯€é–“ã®ä½ç½®ã‚’表ã™ã€‚\\ - -例:図ã®ã‚ˆã†ãªç‚¹Pã‹ã‚‰Qã«è‡³ã‚‹å††å‘¨ä¸Šã®5等分点を節点ã¨ã™ã‚‹æŠ˜ã‚Œç·šsg1ã«ãŠã„ã¦ï¼Œ -$n$番目ã®ç·šåˆ†ä¸Šã®ç‚¹ã¯$n\leqq t\leqq n+1$ã®ç¯„囲ã®ãƒ‘ラメータ値をæŒã¤ã€‚\\ -図ã®ç‚¹$\mathrm{A}$ã¯2番目ã®ç·šåˆ†ä¸Šã«ã‚り,パラメータ値ã¯2.45ã§ã‚る。ã“ã®å€¤ã¯\\ -  \verb|Paramoncrv(A.xy,"sg1");|\\ -ã«ã‚ˆã£ã¦å¾—られる。\\ - \\ -       \input{Fig/paramoncrv}\\ - -\hypertarget{pointcrv}{} -\item[関数] Pointoncrv(点ã®ãƒ‘ラメータ値, PD) -\item[機能] 曲線上ã®ãƒ‘ラメータ値をæŒã¤ç‚¹ã®åº§æ¨™ã‚’è¿”ã™ã€‚ -\item[説明] 曲線(折れ線)上ã®ç¯€ç‚¹ã‚’基準ã¨ã—ãŸãƒ‘ラメータ値ã«ã‚ˆã‚Šç‚¹ã®ä½ç½®ãŒå®šã¾ã‚‹ã€‚\\ - -例:図ã®ã‚ˆã†ãªç‚¹$\mathrm{P}$ã‹ã‚‰$\mathrm{Q}$ã«è‡³ã‚‹åŠå††å‘¨ä¸Šã®5等分点を節点ã¨ã™ã‚‹æŠ˜ã‚Œç·šsg1ã«ãŠã„ã¦ï¼Œãƒ‘ラメータ値$4.5$ã‚’æŒã¤ç‚¹$\mathrm{A}$ã¯4番目ã®ç·šåˆ†ã®ä¸­ç‚¹ã§ã‚る。ã—ãŸãŒã£ã¦\\ -  \verb|A.xy=Pointoncrv(4.5,"cr1");|\\ -ã«ã‚ˆã£ã¦ï¼Œç‚¹Aを中点ã«ç½®ãã“ã¨ãŒã§ãる。\\ - \\ -        \input{Fig/pointoncrv} - -\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} -\newpage -\hypertarget{ptcrv}{} -\item[関数] Ptcrv(n,プロットデータ) -\item[機能] 曲線プロットデータã®n 番目ã®ç¯€ç‚¹ã‚’返㙠-\item[説明] Cindyscript ã® PD\_n ã¨åŒã˜\\ - -例:楕円上ã®ç‚¹ã§åˆ†å‰²ã™ã‚‹ã€‚ã‚ã‹ã‚‰ã˜ã‚å¿…è¦ãªç‚¹ã‚’作図ã—ã¦ãŠã。 -\begin{verbatim} -   Circledata([O,P],["do","Num=100","notex"]); -   Scaledata("1","crOP",4/3,1); -   F.xy=[-sqrt(7),0]; -   A=Ptcrv(9,sc1); -   B=Ptcrv(16,sc1); -   Listplot("1",[A,F,B],["da"]); -   Partcrv("1",A,B,"sc1",["dr,3"]); -   Shade(["part1","sg1"],0.1); -   Arrowhead(B,"sc1",[1.5]); -   Letter([A,"ne","A",B,"ne","B",F,"s2","F"]); -\end{verbatim} -        \input{Fig/ptcrv} - -\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} - -\hypertarget{ptstart}{} -\item[関数] Ptstart(プロットデータ) , Ptend(プロットデータ) -\item[機能] プロットデータã®æœ€åˆã®ç‚¹ï¼Œæœ€å¾Œã®ç‚¹ã‚’å–å¾—ã™ã‚‹ã€‚ -\item[説明] プロットデータã®æœ€åˆã®ç‚¹ï¼Œæœ€å¾Œã®ç‚¹ã®åº§æ¨™ã‚’è¿”ã™ã€‚\\ - \\ -例:定義域をé™å®šã—ãŸã‚°ãƒ©ãƒ•ã®ä¸¡ç«¯ã®ç‚¹ã‚’å–å¾—ã—線分ABを引ã。\\ -\begin{verbatim} -   Deffun("f(x)",["regional(y)","y=x^2","y"]); -   Plotdata("1","f(x)","x=[-1,2]",["dr"]); -   Lineplot("2",[Ptstart(gr1),Ptend(gr1)]); -\end{verbatim} -     \input{Fig/ptstart}\\ -\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} - - \\ - -\hypertarget{readoutdata}{} -\item[関数] ReadOutData(ファイルå) -\item[機能] 外部データを読ã¿è¾¼ã‚€ -\item[説明] Scilabã®WriteOutDataã§ä½œã£ãŸãƒ—ロットデータ列ã®ãƒ‡ãƒ¼ã‚¿ãƒ•ã‚¡ã‚¤ãƒ«ã‚’読ã¿è¾¼ã‚€ã€‚\\ -引数をçœç•¥ã—ãŸå ´åˆã¯ï¼ŒFheadã§å®šç¾©ã—ãŸãƒ•ã‚¡ã‚¤ãƒ«åã®ãƒ†ã‚­ã‚¹ãƒˆãƒ•ã‚¡ã‚¤ãƒ«ã‹ã‚‰èª­ã¿è¾¼ã‚€ã€‚ -ファイルåã«ã¯ã‚³ãƒ³ãƒžã§åŒºåˆ‡ã£ã¦ãƒ‘スを与ãˆã‚‹ã“ã¨ãŒã§ãる。ãŸã¨ãˆã°ï¼Œ\\ -   \verb|ReadOutData("/datafolder","file.txt"); |\\ - \\ - \\ -\hypertarget{sprintf}{} -\item[関数] Sprintf(実数,é•·ã•) -\item[機能] å°æ•°ç‚¹ä»¥ä¸‹ã®é•·ã•ã‚’固定ã—ãŸæ–‡å­—列ã«å¤‰æ› -\item[説明] 実数を,å°æ•°ç‚¹nä½ã¾ã§ã®æ•°ã¨ã—ãŸæ–‡å­—列ã«å¤‰æ›ã™ã‚‹\\ - \\ -例 Sprintf(pi,2) 㯠3.14 ã‚’è¿”ã™\\ -  Sprintf(pi,7) 㯠3.1415927 ã‚’è¿”ã™\\ -注)pi 㯠Cindyscriptã®äºˆç´„変数ã§ï¼Œå††å‘¨çŽ‡ã‚’表ã™ã€‚ \\ - -\hypertarget{writetosci}{} -\item[関数] WritetoSci(引数) ,WritetoScibody(引数) -\item[機能] Scilab用ã®ã‚½ãƒ¼ã‚¹ãƒ•ã‚¡ã‚¤ãƒ«ã«æ›¸ã出㙠-\item[説明] ソースファイルã¸ã®æ›¸ã出ã—æ–¹ã«ï¼“ã¤ã®ã‚¿ã‚¤ãƒ—ãŒã‚ã‚‹\\ - -・引数ãªã—ã®å ´åˆ\\ -  Fheadã§å®šç¾©ã—ãŸãƒ•ã‚¡ã‚¤ãƒ«åã«æ‹¡å¼µå­ .sci を付加ã—ã¦å…¨ä½“を書ã出ã™ã€‚\\ -  末尾ã«ã‚³ãƒ¡ãƒ³ãƒˆã‚¢ã‚¦ãƒˆã—㟠quit() を付加ã™ã‚‹ã€‚\\ -・WritetoSciã®å¼•æ•°ã«æ¬¡ã®æ•°ã‚’渡㙠\\ - \verb|WritetoSci(1)|: WritetoSci() ã¨åŒã˜\\ - \verb|WritetoSci(2)|: 全体を書ã出ã—,末尾㫠quit() を付加ã™ã‚‹ã€‚\\ - \verb|WritetoSci(3)|: WritetoScibody() ã¨åŒã˜ã€‚body部分ã®ã¿ã‚’書ã出ã™ã€‚\\ -・ファイルåを引数ã¨ã™ã‚‹\\ -  引数ã®ãƒ•ã‚¡ã‚¤ãƒ«åã§æ›¸ã出ã™ã€‚ãŸã ã—ï¼Œæ‹¡å¼µå­ .sci ã‚’ã¤ã‘ã‚‹å¿…è¦ãŒã‚る。\\ -・引数を "sh" ã¨ã™ã‚‹\\ -  WritetoSci(2) ã¨åŒã˜ã€‚\\ -・\verb|WritetoSci(filename,"sh")|\\ -  引数ã®ãƒ•ã‚¡ã‚¤ãƒ«åã§shell(bat)コマンド用ã®ãƒ•ã‚¡ã‚¤ãƒ«ã‚’書ã出ã™ã€‚\\ -・\verb|WritetoSci(æ•°å­— ,filename)| ã¯ä¸å¯ï¼ˆã‚¨ãƒ©ãƒ¼ã¨ãªã‚‹ï¼‰\\ -\\ - -\hypertarget{makeshell}{} -\item[関数] Makeshell(ファイルå) / Makebat(ファイルå) -\item[機能] Macã®å ´åˆã¯ã‚·ã‚§ãƒ«ãƒ•ã‚¡ã‚¤ãƒ«ï¼ŒWindowsã®å ´åˆã¯ãƒãƒƒãƒãƒ•ã‚¡ã‚¤ãƒ«ã‚’書ã出ã™ã€‚ -\item[説明] 書ã出ã•ã‚Œã‚‹ãƒ•ã‚¡ã‚¤ãƒ«ã¯æ¬¡ã®é€šã‚Šã€‚\\ -・書ã出ã•ã‚Œã‚‹å ´æ‰€ã¨ãƒ•ã‚¡ã‚¤ãƒ«åã¯ï¼Œ Shellparent / Batparent ã§æŒ‡å®šã—ãŸã‚‚ã®ã€‚\\ -・内容ã¯ï¼ŒShellchild / Batchild ã«ï¼Œå­ãƒ—ロセスã®å¼•æ•°ã¨ã—㦠Fhead ã¨å¼•æ•°ã®ãƒ•ã‚¡ã‚¤ãƒ«åを付加ã—ãŸã‚‚ã®ã€‚ãŸã¨ãˆã°ï¼ŒShellchild="sh ketcindy.sh" ã§ï¼ŒFhead="fig" , 引数㌠"fig2tex" ã§ã‚れ㰠-\begin{verbatim} -  #!/bin/sh -  cd /Users/Hoge/Desktop/KeTCindy -  sh ketcindy.sh fig fig2tex -  exit 0 -\end{verbatim} -ãŒæ›¸ã出ã•ã‚Œã‚‹ã€‚2行目ã®ãƒ‡ã‚£ãƒ¬ã‚¯ãƒˆãƒªï¼ˆãƒ•ã‚©ãƒ«ãƒ€ï¼‰åã¯ï¼ŒDirwork ã§æŒ‡å®šã—ãŸã‚‚ã®ã€‚\\ -ãŸã ã—,上記㮠fig 㯠fig.sci ã®ã“ã¨ã ãŒï¼Œfig.sci ã¯å‡ºåŠ›ã•ã‚Œãªã„ã®ã§ï¼Œåˆ¥é€” WritetoSci(2) ã§æ›¸ã出ã™å¿…è¦ãŒã‚る。\\ - \\ - -\hypertarget{textformat}{} -\item[関数] Textformat(数,æ¡æ•°) -\item[機能] å°æ•°ç‚¹ä»¥ä¸‹ã®æ¡æ•°ã‚’指定ã—ã¦æ•°ã‚’文字列化ã™ã‚‹ã€‚ -\item[説明] Cindyscriptã®çµ„ã¿è¾¼ã¿é–¢æ•°ã«ã‚‚,format()ã¨ã„ã†åŒæ§˜ã®é–¢æ•°ãŒã‚ã‚‹ãŒï¼Œã“ã¡ã‚‰ã¯ï¼Œæ•°ã®ãƒªã‚¹ãƒˆã«ã‚‚対応ã™ã‚‹ã€‚\\ - -例:円周率をå°æ•°ç‚¹ä»¥ä¸‹ï¼•ä½ã¾ã§ã§æ–‡å­—列化ã™ã‚‹ã€‚\\ - \\ -  \verb|Textformat(pi,5);|\\ - \\ -  戻り値ã¯ï¼Œ3.14159\\ - \\ -例:円周率ã¨ï¼Œãƒãƒ”ア数をリストã«ã—ã¦ï¼Œå…±ã«å°æ•°ç‚¹ä»¥ä¸‹ï¼•ä½ã¾ã§ã§æ–‡å­—列化ã—ãŸãƒªã‚¹ãƒˆã‚’è¿”ã™ã€‚\\ - \\ -  \verb|Textformat([pi,exp(1)],5);|\\ - \\ -  戻り値ã¯ï¼Œ[3.14159,2.71828] \\ -  \\ - -\hypertarget{viewtex}{} -\item[関数] Viewtex() -\item[機能] \TeX ã®ã‚½ãƒ¼ã‚¹ãƒ•ã‚¡ã‚¤ãƒ«ã‚’書ã出ã™ã€‚引数ãªã—。 -\item[説明] グローãƒãƒ«å¤‰æ•°Fheadã§å®šç¾©ã—ãŸãƒ•ã‚¡ã‚¤ãƒ«åã« "main" を付加ã—ãŸ\TeX ã®ã‚½ãƒ¼ã‚¹ãƒ•ã‚¡ã‚¤ãƒ«ã¨ãƒãƒƒãƒãƒ•ã‚¡ã‚¤ãƒ«ï¼ˆMacã®å ´åˆã¯ã‚·ã‚§ãƒ«ãƒ•ã‚¡ã‚¤ãƒ«ï¼‰ã‚’作æˆã™ã‚‹ã€‚\\ -Fhead ã®ã»ã‹ï¼Œãƒ‡ã‚£ãƒ¬ã‚¯ãƒˆãƒªæŒ‡å®šãªã©ã®ãŸã‚,次ã®ã‚°ãƒ­ãƒ¼ãƒãƒ«å¤‰æ•°ã«å¿…è¦äº‹é …ãŒä»£å…¥ã•ã‚Œã¦ã„ã‚‹ã“ã¨ãŒæ¡ä»¶ã§ã‚る。\\ - \\ -  Dirwork=作業フォルダã®ãƒ‘ス\\ -  Shellparent=親プロセス (kc.sh / kc.bat )ã‚’ç½®ãディレクトリã®ãƒ‘ス\\ -  Shellchild=å­ãƒ—ロセスå\\ -  Libname=Scilabã®ãƒ©ã‚¤ãƒ–ラリ ketpicsciL5 ã¸ã®ãƒ‘ス\\ - \\ -ãŸã¨ãˆã°ï¼ŒFhead="fig" ã¨ã™ã‚‹ã¨\\ -・図を表示ã™ã‚‹ fig.sci ã‚’ Dirwork ã§æŒ‡å®šã—ãŸãƒ•ã‚©ãƒ«ãƒ€ã«ã‚’生æˆã™ã‚‹ã€‚(ã™ã§ã«ã‚ã‚‹å ´åˆã¯ä¸Šæ›¸ã)\\ -・Dirwork ã§æŒ‡å®šã—ãŸãƒ•ã‚©ãƒ«ãƒ€ã« figmain.tex を生æˆã™ã‚‹ã€‚(ã™ã§ã«ã‚ã‚‹å ´åˆã¯ä¸Šæ›¸ã)\\ - figmain.tex 㯠\TeX ã®ãƒ—リアンブル㨠\verb|begin{document}| を設定ã—ãŸã‚½ãƒ¼ã‚¹ãƒ•ã‚¡ã‚¤ãƒ«ã§ï¼Œä¸­ã«ã¯ \verb|input{"fig.tex"}| ãŒæ›¸ã‹ã‚Œã¦ãŠã‚Šï¼Œã“れをコンパイルã™ã‚Œã°ä½œæˆã—ãŸå›³ã‚’表示ã™ã‚‹ã“ã¨ãŒã§ãる。\\ -・親プロセスã®ç”Ÿæˆï¼ˆã™ã§ã«ã‚ã‚‹å ´åˆã¯ä¸Šæ›¸ã)\\ - ketcindy.sh (Mac) ketcindy.bat(Windows) ã‚’å­ãƒ—ロセスã¨ã—㦠figmain.tex 㨠fig.tex を引数ã¨ã—ã¦å®Ÿè¡Œã™ã‚‹ãƒ—ロセス kc.sh(Mac) kc.bat (Windows) を作業ディレクトリã«ç”Ÿæˆã™ã‚‹ã€‚ã“れを実行ã™ã‚‹ã¨å›³ã‚’表示ã™ã‚‹PDFファイルãŒä½œã‚‰ã‚Œã‚‹ã€‚\\ - 以上ã®æ‰‹ç¶šãã«ã‚ˆã‚Šï¼ŒViewtex() を実行ã™ã‚Œã°ï¼Œãƒ‡ã‚¹ã‚¯ãƒˆãƒƒãƒ—上ã«ç”Ÿæˆã•ã‚ŒãŸ kc.sh / kc.bat を使ã£ã¦ï¼Œfig.sci ã®ç”Ÿæˆã‹ã‚‰ï¼Œfig.tex ã®ä½œæˆï¼Œ\TeX ã®ã‚³ãƒ³ãƒ‘イルã¾ã§ã®ä¸€é€£ã®æ“作を自動実行ã—ã¦ï¼Œå›³ã‚’表示ã™ã‚‹ã“ã¨ãŒã§ãã‚‹ã“ã¨ã«ãªã‚‹ã€‚kc.sh / kc.bat ã®å®Ÿè¡Œã¯ï¼Œkc() ã§è¡Œã†ã“ã¨ãŒã§ãる。\\ - \\ - - \hypertarget{workprocess}{} -\item[関数] Workprocess() -\item[機能] 作図ã®çµŒéŽã‚’å–å¾—ã™ã‚‹ -\item[説明] 作図ツールを用ã„ãŸä½œå›³ã®çµŒéŽã‚’å–å¾—ã™ã‚‹ã€‚\\ - \verb|println(Workproccess());|\\ - ã¨ã™ã‚‹ã¨ï¼Œã‚³ãƒ³ã‚½ãƒ¼ãƒ«ã«ä½œå›³æ‰‹é †ãŒè¡¨ç¤ºã•ã‚Œã‚‹ã€‚\\ - -\end{description} - -\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} -\newpage - -%=================================================== -\subsection{ãã®ä»–} -\begin{description} - -\hypertarget{assign}{} -\item[関数] Assign(文字列,文字,文字) -\item[機能] 文字列ã®ä¸­ã®ã‚る文字を他ã®æ–‡å­—ã§ç½®ãæ›ãˆã‚‹ -\item[説明] 第1引数ã®æ–‡å­—列中ã®ç¬¬ï¼’引数ã®æ–‡å­—を,第3引数ã®æ–‡å­—ã§ç½®ãæ›ãˆã‚‹ã€‚\\ - 第3引数ãŒæ•°å€¤ã®å ´åˆï¼Œæ–‡å­—列ã«å¤‰æ›ã•ã‚Œã‚‹ã€‚\\ - 第2引数ã¨ï¼Œç¬¬ï¼“引数をリストã«ã—ã¦ï¼Œè¤‡æ•°ã®ç½®ãæ›ãˆã‚’ã™ã‚‹ã“ã¨ãŒã§ãる。\\ - \\ - 例:a*x ã‚’1.3*x ã¨ã—ãŸæ–‡å­—列を返ã™ã€‚次ã®ã„ãšã‚Œã‚‚åŒã˜çµæžœã«ãªã‚‹ã€‚ -\begin{verbatim} -   Assign("x^2+a*x","a","1.3"); -   Assign("x^2+a*x","a",1.3); -\end{verbatim} - \\ - 例:直線 $y=bx-b^2$ ã®ä¿‚æ•°$b$を変化ã•ã›ã¦æã,包絡線をã†ã‹ã³ã‚ãŒã‚‰ã›ã‚‹ã€‚ -\begin{verbatim} -    repeat(50,t, -      cb=t/5-5; -      Plotdata(text(t),Assign("b*x-b^2","b",cb),"x"); -    ); -\end{verbatim} -  \\ -     \input{Fig/assign}\\ - \\ - 例:文字ã§è¡¨ã•ã‚ŒãŸ $x$ 㨠$y$ ã®ä¿‚æ•°ã‚’ã¾ã¨ã‚ã¦æ•°å€¤ã§ç½®ãæ›ãˆã‚‹ã€‚\\ -   \verb|Assign("a*x^2+b*x",["a",1,"b",2]);|\\ - \\ -\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} - -\hypertarget{bbdata}{} -\item[関数] BBdata(ファイルå,option) -\item[機能] 画åƒãƒ•ã‚¡ã‚¤ãƒ«ã®ã‚µã‚¤ã‚ºã‚’求ã‚ã‚‹ -\item[説明] TeX文書ã«ãŠã„ã¦ï¼Œinputgraphics コマンドã§ç”»åƒã‚’貼り込むã¨ãã®BBサイズを求ã‚る。\\ - TeX処ç†ç³»ã® extractbb を用ã„ã¦ç”»åƒãƒ•ã‚¡ã‚¤ãƒ«ã‹ã‚‰BBデータを作り,テキストファイルã¨ã—ã¦ä½œæ¥­ãƒ‡ã‚£ãƒ¬ã‚¯ãƒˆãƒªã«æ›¸ã出ã™ã€‚ã“れを読んã§ï¼Œã‚³ãƒ³ã‚½ãƒ¼ãƒ«ã« ingludegarphics ã®ã‚³ãƒžãƒ³ãƒ‰ã‚’書ã出ã™ã€‚\\ - optionã¯ï¼Œå¹…ã¾ãŸã¯é«˜ã•ã®æŒ‡å®šã€‚\\ - "w=40mm" 㧠width=40mm ãŒï¼Œ"h=40mm" 㧠height=40mm ãŒä»˜åŠ ã•ã‚Œã‚‹ã€‚\\ - \\ -例:pic.pdf ã®ã‚µã‚¤ã‚ºã‚’求ã‚る。\\ -  \verb|BBdata("pic.pdf")|\\ - を実行ã™ã‚‹ã¨ï¼Œã‚³ãƒ³ã‚½ãƒ¼ãƒ«ã« ingludegarphics ã®ã‚³ãƒžãƒ³ãƒ‰æ–‡\\ -   \verb|\includegraphics[bb=・・・・]{pic.pdf} |\\ - ãŒè¡¨ç¤ºã•ã‚Œã‚‹ã€‚ã“れをãã®ã¾ã¾ã‚³ãƒ”ーã™ã‚Œã°ã‚ˆã„。\\ - ãªãŠï¼Œbbã®å€¤ã¯æ•´æ•°å€¤ã§ã¯ãªã,高精細ã®å€¤ã‚’å°æ•°ç‚¹ä»¥ä¸‹2æ¡ã«å››æ¨äº”å…¥ã—ã¦ç¤ºã•ã‚Œã‚‹ã€‚\\ - 画åƒãƒ•ã‚¡ã‚¤ãƒ«ã¯ï¼ŒPDFã«é™ã‚‰ãšï¼ŒPNG,JPGãªã©ã§ã‚‚よã„。\\ - \\ -例:\verb|BBdata("fig.jpg",["h=40mm"]);|\\ -  ã§\\ -  \verb|\includegraphics[bb=0.00 0.00 578.16 592.56,height=40mm]{fig.jpg} |\\ -  ãŒè¡¨ç¤ºã•ã‚Œã‚‹ã€‚\\ - \\ - -\hypertarget{changework}{} -\item[関数] Changework(パスå) -\item[機能] 作業ディレクトリを指定(変更)ã™ã‚‹ -\item[説明] 作業ディレクトリã¯ï¼ŒInitializationスロットã®KETlibページ㫠Dirwork= ã§æŒ‡å®šã•ã‚Œã¦ã„ã‚‹ãŒï¼Œã“れを変更ã™ã‚‹ã€‚Drawスロットã®ï¼ŒKetinit() ã®å‰ã«è¨˜è¿°ã™ã‚‹ã“ã¨ã«ã‚ˆã‚Šï¼ŒKetlibページã®è¨˜è¿°ã‚’変更ã—ãªãã¦ã™ã‚€ã€‚\\ - ã“ã‚Œã«ã‚ˆã‚Šï¼Œä½œæˆã—ãŸãƒ•ã‚¡ã‚¤ãƒ«ã‚’ä»–ã®äººã¨ã‚„ã‚Šå–ã‚Šã—ã‚„ã™ããªã‚‹ã€‚\\ - -\hypertarget{com0th}{} -\item[関数] Com0th(文字列) -\item[機能] Scilabã®Openfileã®å‰ã«ç½®ãコマンド(文字列)を定義ã™ã‚‹ã€‚ -\item[説明] 例:\verb|Com0th("Setax('a')");|\\ - Openfileã®å‰ã®éƒ¨åˆ†ã®å…ˆé ­ã«æ›¸ã出ã™ã€‚ã“ã‚Œã«ã‚ˆã‚Šï¼Œ \ketcindy ã§ã‚µãƒãƒ¼ãƒˆã•ã‚Œã¦ã„ãªã„Scilab版\ketpic ã®ã‚³ãƒžãƒ³ãƒ‰ã‚’利用ã™ã‚‹ã“ã¨ãŒã§ãる。\\ - \\ -\hypertarget{com1st}{} -\item[関数] Com1st(文字列) -\item[機能] Scilabã®Openfileã®å‰ã«ç½®ãコマンド(文字列)を定義ã™ã‚‹ã€‚ -\item[説明] 例:\verb|Com1st("Setax('a')");|\\ - ã“ã‚Œã«ã‚ˆã‚Šï¼Œ \ketcindy ã§ã‚µãƒãƒ¼ãƒˆã•ã‚Œã¦ã„ãªã„Scilab版\ketpic ã®ã‚³ãƒžãƒ³ãƒ‰ã‚’利用ã™ã‚‹ã“ã¨ãŒã§ãる。 -\\ -\hypertarget{com2nd}{} -\item[関数] Com2nd(文字列) -\item[機能] Scilabã®Openfileã®ã‚ã¨ã«ç½®ãコマンド(文字列)を定義ã™ã‚‹ã€‚ -\\ - -\hypertarget{com2ndpre}{} -\item[関数] Com2ndpre(文字列) -\item[機能] Scilabã®Openfileã®ã‚ã¨ã«ç½®ãコマンド(文字列)を定義ã™ã‚‹ã€‚ - Openfileã®ç›´å¾Œï¼ˆã‚°ãƒ«ãƒ¼ãƒ—ã®å…ˆé ­ã«ï¼‰æ›¸ã出ã™ã€‚\\ - -\hypertarget{figpdf}{} -\item[関数] Figpdf(option) -\item[機能] 出力枠サイズã®PDFを作る。 -\item[説明] KeTCindyã§ã¯ï¼Œé€šå¸¸ï¼Œå‡ºåŠ›ã•ã‚ŒãŸ fig.tex ファイルを閲覧ã™ã‚‹PDFã‚’A4サイズã§ä½œæˆã™ã‚‹ã€‚ã“ã‚Œã«å¯¾ã—,Figpdf()を実行ã™ã‚‹ã¨ï¼Œå‡ºåŠ›ã‚µã‚¤ã‚ºã®PDFを作æˆã™ã‚‹ã€‚閲覧用ã ã‘ã§ã¯ãªãワープロãªã©ã«ã«è²¼ã‚Šè¾¼ã‚€ã¨ãã«ãã®ã¾ã¾ä½¿ç”¨ã§ãã‚‹ã®ã§ä¾¿åˆ©ã§ã‚る。ãŸã ã—,ãã®ãŸã‚ã®è¦ªå­ãƒ—ロセスを生æˆã—ã¦å®Ÿè¡Œã™ã‚‹ãŸã‚,次ã®æ‰‹ç¶šã(1)(2)ãŒå¿…è¦ã¨ãªã‚‹ã€‚\\ -(1) 変数 Texparent を設定ã™ã‚‹ã€‚\\ - ã“ã‚Œã¯ï¼Œå‡ºåŠ›ã™ã‚‹PDFã®ãƒ•ã‚¡ã‚¤ãƒ«åã®æŒ‡å®šã§ã‚る。ãŸã¨ãˆã°ï¼Œ -\begin{verbatim} -  Fhead="fig"; -  Texparent="pic"; -\end{verbatim} - ã¨ã™ã‚‹ã¨ï¼Œfig.tex を表示ã—㟠pic.pdf ãŒä½œæˆã•ã‚Œã‚‹ã€‚pic.pdf ãŒç›®çš„ã®PDF。\\ - Texparent 㯠Fhead ã¨ã¯ç•°ãªã‚‹ã‚‚ã®ã«ã™ã‚‹ã€‚\\ -(2) 出力ã¯ï¼Œã€ŒParentã€ã€ŒExekcã€ã®é †ã«ãƒœã‚¿ãƒ³ã‚’押ã™ã€‚「Texviewã€ã¯æŠ¼ã•ãªã„。\\ - ãªãŠï¼Œã“れらã®ãƒœã‚¿ãƒ³ã‚’使ã‚ãšã«ã‚¹ã‚¯ãƒªãƒ—トã§å®Ÿè¡Œã™ã‚‹ã‹ï¼Œã‚ªãƒªã‚¸ãƒŠãƒ«ã®ãƒœã‚¿ãƒ³ã‚’作る場åˆã¯ï¼Œæ¬¡ã®ã‚³ãƒžãƒ³ãƒ‰ã‚’実行ã™ã‚‹ã€‚ -\begin{verbatim} -   Writetosci(2); -   Makeshell(); -   kc(); -\end{verbatim} - Writetosci(2); 㨠Makeshell(); 㧠fig.sce ã¨pic.tex ãŒä½œæˆã•ã‚Œã‚‹ã€‚\\ - Windowsã®å ´åˆã¯ Makebat(); ã¨ã™ã‚‹ã€‚\\  - \verb|kc();| ã«ã‚ˆã‚Š kc.sh ãŒå®Ÿè¡Œã•ã‚Œï¼ŒScilab㧠fig.sceã‹ã‚‰fig.tex を作るã¨ã“ã‚ã‹ã‚‰PDF作æˆã¾ã§ã®ä¸€é€£ã®ä½œæ¥­ãŒè¡Œã‚れる。\\ - \\ -optionã¯ï¼Œãƒžãƒ¼ã‚¸ãƒ³ï¼ˆä½™ç™½ï¼‰ã¨å¹³è¡Œç§»å‹•é‡ã€‚指定ã—ãªã„å ´åˆã¯ãƒ‡ãƒ•ã‚©ãƒ«ãƒˆå€¤ã€‚\\ -引数ãŒï¼‘ã¤ã®å®Ÿæ•°ã®å ´åˆã¯ï¼Œå·¦å³ä¸Šä¸‹åŒä¸€ã®æŒ‡å®šã—ãŸä½™ç™½ã¨ãªã‚‹ã€‚\\ -引数ãŒï¼”ã¤ã®æ•°ã‚’コンマã§åŒºåˆ‡ã£ãŸæ–‡å­—列をè¦ç´ ã¨ã™ã‚‹ãƒªã‚¹ãƒˆã®å ´åˆï¼Œå·¦å³ä¸Šä¸‹ã®ä½™ç™½æŒ‡å®šã¨ãªã‚‹ã€‚\\ -引数ãŒï¼’ã¤ã®æ•°ã‚’コンマã§åŒºåˆ‡ã£ãŸæ–‡å­—列をè¦ç´ ã¨ã™ã‚‹ãƒªã‚¹ãƒˆã®å ´åˆï¼Œå³ï¼Œä¸‹æ–¹å‘ã¸ã®å¹³è¡Œç§»å‹•æŒ‡å®šã¨ãªã‚‹ã€‚\\ -余白指定ã¨å¹³è¡Œç§»å‹•æŒ‡å®šã¯åŒæ™‚ã«è¡Œã†ã“ã¨ãŒã§ãる。\\ -例: \verb|Figpdf(10);|        上下左å³10mmã®ä½™ç™½\\ -  \verb|Figpdf(["5,5,10,10"]);|    左å³ã«5mm,上下10mmã®ä½™ç™½\\ -  \verb|Figpdf(["5,10"]);|      å³ã«5mm,下ã«10mm平行移動ã—ã¦è¡¨ç¤º\\ -  \verb|Figpdf(["5,8,10,10","5,-5"]);| 左5mm,å³8mm,上下10mmã®ä½™ç™½ï¼Œ\\ -                  å³ã«5mm,上ã«5mm平行移動ã—ã¦è¡¨ç¤º\\ -ãªãŠï¼Œåº§æ¨™è»¸ã‚’表示ã™ã‚‹å ´åˆï¼Œå³å´ã¯æœ€ä½Ž3mmã®ä½™ç™½ã‚’設定ã—ãªã„ã¨è»¸ã®æ–‡å­—ãŒå…¥ã‚‰ãªã„。\\ - -\hypertarget{texcom}{} -\item[関数] Texcom(\TeX コード) -\item[機能] \TeX ã®ã‚³ãƒ¼ãƒ‰ã‚’書ã出㙠-\item[説明] 任æ„ã®\TeX ã®ã‚³ãƒ¼ãƒ‰ã‚’書ã出ã™\\ - Scilabã®TeXcomã«ãã®ã¾ã¾å¼•ã渡ã—ã¦ã„ã‚‹ã ã‘。\\ - -\hypertarget{windispg}{} -\item[関数] Windispg() ã¾ãŸã¯ã€€Windisp(データã®ãƒªã‚¹ãƒˆï¼‰ -\item[機能] 定義ã•ã‚Œã¦ã„るプロットデータをCinderellaç”»é¢ã«é»’ç·šã§æã -\item[説明] Windispg()ã¯ï¼Œã‚¹ã‚¯ãƒªãƒ—トã®æœ€å¾Œã«ç½®ãã“ã¨ã§ï¼Œå‡ºåŠ›ã•ã‚Œã‚‹éƒ¨åˆ†ã ã‘ãŒé»’ã§æã‹ã‚Œã‚‹ã®ã§ï¼Œå‡ºåŠ›å›³ã‚’確èªã™ã‚‹ã“ã¨ãŒã§ãる。ãŸã ã—,Letter()関数ã§è¡¨ç¤ºã—ãŸç‚¹ã®å称ãªã©ãŒCinderellaã§ä½œå›³ã—ãŸãƒ©ãƒ™ãƒ«ã¨é‡ãªã£ã¦è¡¨ç¤ºã•ã‚Œã¦è¦‹ã«ãããªã‚‹ã“ã¨ã‚‚ã‚る。ã“ã®é–¢æ•°ã‚’実行ã—ãªãã¦ã‚‚出力ã«ã¯å½±éŸ¿ã—ãªã„。\\ - Windisp(データã®ãƒªã‚¹ãƒˆï¼‰ã¯ï¼ŒScilabã‹ã‚‰ \ketcindy 用ã«å‡ºåŠ›ã•ã‚ŒãŸãƒ•ã‚¡ã‚¤ãƒ«ã‚’ ReadOutData()関数ã§èª­ã¿è¾¼ã‚“ã ã¨ãã«ï¼Œå¿…è¦ãªãƒ—ロットデータ列ã ã‘を表示ã™ã‚‹ã®ã«ç”¨ã„る。\\ - ReadOutData("filename.txt") ã§ãƒ‡ãƒ¼ã‚¿ã‚’読ã¿è¾¼ã‚€ã¨ï¼Œãã®ãƒ‡ãƒ¼ã‚¿ã«å«ã¾ã‚Œã‚‹ãƒ—ロットデータ列ãŒï¼Œã‚³ãƒ³ã‚½ãƒ¼ãƒ«ã«\\ -Outdata of filename.txt : [Gfn,Gdfn,Gh] \\ -ã®ã‚ˆã†ã«è¡¨ç¤ºã•ã‚Œã‚‹ã€‚\\ -ã“ã®ã†ã¡ï¼ŒGfnã¨Ghã ã‘を表示ã™ã‚‹ã®ã§ã‚ã‚Œã°\\ -Windispg([Gfn,Gh]);\\ - ã¨ã™ã‚‹ã€‚引数ãªã—ã§\\ -Windispg();\\ -ã¨ã™ã‚Œã°ã™ã¹ã¦ã®ãƒ—ロットデータ列ãŒè¡¨ç¤ºã•ã‚Œã‚‹ã€‚\\ -ãªãŠï¼Œã„ãšã‚Œã®å ´åˆã‚‚,作図ã—ãŸãƒ—ロットデータもåŒæ™‚ã«è¡¨ç¤ºã•ã‚Œã‚‹ã€‚\\ - 作図ã—ãŸå›³ã‚’å…¨ã¦ã§ã¯ãªãé¸æŠžã—ã¦è¡¨ç¤ºã™ã‚‹å ´åˆã¯ï¼Œãれらã®ãƒ—ロットデータåをリストã«ã—ã¦å¼•æ•°ã¨ã™ã‚‹ã€‚\\ - ãŸã¨ãˆã°ï¼Œsg1, gr1, crABãŒå®šç¾©ã•ã‚Œã¦ã„ã‚‹ã¨ã,\\ -    \verb|Windispg(["sg1","gr1"]);| -ã¨ã™ã‚Œã°ï¼Œsg1,gr1ã®ã¿ãŒè¡¨ç¤ºã•ã‚Œã‚‹ã€‚ - 次ã®ï¼“ã¤ã®é–¢æ•°ã¯ï¼Œãƒ—ロットデータã®æ“作ã§ï¼Œå˜ç‹¬ã§ç”¨ã„ã‚‹ã“ã¨ã‚‚ã§ãã‚‹ãŒï¼Œæ画関数,プロットデータã®æ“作関数ã®ã‚ªãƒ—ションã«çµ„ã¿è¾¼ã¾ã‚Œã¦ã„ã‚‹ã®ã§ï¼Œç‰¹æ®Šãªå ´åˆã‚’除ã„ã¦ã¯ã»ã¨ã‚“ã©åˆ©ç”¨ã—ãªã„ã¨æ€ã‚れる。\\ - -\hypertarget{drwline}{} -\item[関数] Drwline(プロットデータ) -\item[機能] プロットデータ(文字列)を実線ã§æã -\item[説明] Scilabã®Drwlineを書ã出ã™\\ - 例:\verb|Drwline("sABCA,1");|\\ -\\ - -\hypertarget{dashline}{} -\item[関数] Dashline(プロットデータ) -\item[機能] プロットデータ(文字列)を破線ã§æã -\item[説明] Scilabã®Dashlineを書ã出ã™\\ - 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ã§æã -\item[説明] Scilabã®Dottedlineを書ã出ã™\\ - 例:\verb|Dottedline("sABCA");|\\ - -\hypertarget{helplist}{} -\item[関数] helplist() -\item[機能] ヘルプデータを作æˆã™ã‚‹ -\item[説明] 関数ã®ç°¡å˜ãªèª¬æ˜Žãƒ‡ãƒ¼ã‚¿ã‚’作æˆã™ã‚‹ã€‚\\ - ã“ã®é–¢æ•°ã¯ï¼ŒInitialization スロットã«æ›¸ã。\\ - \\ - -\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ã®ä½¿ç”¨ä¾‹ã‚’å–å¾—ã™ã‚‹ -\item[説明] 文字列ã§å§‹ã¾ã‚‹é–¢æ•°ã®ä½¿ç”¨ä¾‹ã‚’コンソールã«è¡¨ç¤ºã™ã‚‹ã€‚\\ -  \verb|println(Help("C"));|\\ - ã®ã‚ˆã†ã«ã™ã‚‹ã¨ï¼Œã‚³ãƒ³ã‚½ãƒ¼ãƒ«ã«ï¼Œæ¬¡ã®ã‚ˆã†ã«ã€ŒCã€ã§å§‹ã¾ã‚‹é–¢æ•°ã®ä½¿ç”¨ä¾‹ãŒè¡¨ç¤ºã•ã‚Œã‚‹ã€‚ -\begin{verbatim} -  CRspline("1",[A,B,C,A]); -  ChangeTablestyle(["r0c0c3"],["da"]);\ -  Changestyle("sgAB",["da"]); -  Changstyle("geoseg3","ax3d"],["notex"]);\ -  Circledata([A,B,C]); -  Circledata([A,B],["Rng=[0,pi/2]"]);\ -  Com2nd("\color[cmyk]{0,0,0,0.5}");\ -  Crossprod(vec1,vec2); \\ -\end{verbatim} - - ã•ã‚‰ã«ï¼Œ\\ -  \verb|println(Help("Ci"));| ã¨ã™ã‚‹ã¨ -\begin{verbatim} -  Circledata([A,B,C]); -  Circledata([A,B],["Rng=[0,pi/2]"]); -\end{verbatim} - ã ã‘ãŒè¡¨ç¤ºã•ã‚Œã‚‹ã€‚\\ -  \verb|println(Help("*"));| -  ã¨ã™ã‚‹ã¨ï¼Œã™ã¹ã¦ã®é–¢æ•°ã®ä½¿ç”¨ä¾‹ãŒè¡¨ç¤ºã•ã‚Œã‚‹ã€‚\\ - 引数ãŒãªã„å ´åˆã¯ï¼Œ\verb|Helplist(Dirlib,["+","+3d"],"helpJâ€);| ã¨ã¿ãªã•ã‚Œã‚‹ã€‚+ã¯ketcindylibã®æ„味。\\ -\\ - -\hypertarget{helpkey}{} -\item[関数] Helpkey(文字列) -\item[機能] 関数ã®ä½¿ç”¨ä¾‹ã‚’キーワードã§æ¤œç´¢ã™ã‚‹ -\item[説明] 文字列ã«ä¸ŽãˆãŸã‚­ãƒ¼ãƒ¯ãƒ¼ãƒ‰ã§é–¢æ•°ã®ä½¿ç”¨ä¾‹ã‚’検索ã—,コンソールã«è¡¨ç¤ºã™ã‚‹ã€‚\\ - 例:\verb|Helpkey("ç›´ç·š");| ã¨ã™ã‚‹ã¨ï¼Œã‚³ãƒ³ã‚½ãƒ¼ãƒ«ã«æ¬¡ã®ã‚ˆã†ã«è¡¨ç¤ºã•ã‚Œã‚‹ã€‚ -\begin{verbatim} -   IntersectsgpL("",[p1,p2],[p3,p4,p5],"draw"); -   IntersectsgpL("R","P-Q","A-B-C"); -   IntersectsgpL("R","P-Q","A-B-C","put"); -    空間ã®ç›´ç·šã¨å¹³é¢ã®äº¤ç‚¹ -   Lineplot("1",[[2,1],[3,3]]); -   Lineplot([A,B]); - ã€€ã€€ã€€ç›´ç·šãƒ‡ãƒ¼ã‚¿ã‚’ä½œæˆ -   PtonLine("C",pA,pB); -    直線上ã«ç‚¹ã‚’ã¨ã‚‹ -\end{verbatim} - \\ -\hypertarget{indexall}{} -\item[関数] Indexall(str1,str2); -\item[機能] 文字列 str1 ã‹ã‚‰ str2 を検索ã—ãã®ä½ç½®ã‚’ã™ã¹ã¦è¿”ã™ -\item[説明] Cindyscriptã® indexof() ã®æ‹¡å¼µç‰ˆã€‚indexof() ãŒæœ€åˆã«è¦‹ã¤ã‹ã£ãŸä½ç½®ã‚’è¿”ã™ã®ã«å¯¾ã—,Indexall()ã¯å­˜åœ¨ã™ã‚‹ä½ç½®ã‚’ã™ã¹ã¦ãƒªã‚¹ãƒˆã«ã—ã¦è¿”ã™ã€‚\\ - \\ -例:str="abcabcabc" ã‹ã‚‰ "b"を検索ã™ã‚‹ã€‚\\ -  \verb|indexof(str,"b")| ã§ã¯ï¼Œ2 ãŒè¿”る。\\ -  \verb|Indexall(str,"b")| ã§ã¯ï¼Œ[2,5,8]ãŒè¿”る。\\ - \\ - -\hypertarget{ketcindylogo}{} -\item[関数] Ketcindylogo() -\item[機能] \ketcindy ã®ãƒ­ã‚´ã‚’書ã出㙠-\item[説明] \ketcindy ã®ãƒ­ã‚´ã‚’表示ã™ã‚‹\TeX ã®ã‚³ãƒžãƒ³ãƒ‰è¡Œã‚’書ã出ã™ã€‚\\ - 内容ã¯\\ -\verb|\|def\verb|\|ketcindy\{\{K\verb|\|kern-.20em \verb|\|lower.5ex\verb|\|hbox\{E\}\verb|\|kern-.125em\{TCindy\}\}\}" - \\ -\hypertarget{op}{} -\item[関数] Op(n,list or str) -\item[機能] リストã¾ãŸã¯æ–‡å­—列ã‹ã‚‰è¦ç´ ã‚’抜ã出㙠-\item[説明] 第2引数ã®ãƒªã‚¹ãƒˆã¾ãŸã¯æ–‡å­—列ã®n番目ã®è¦ç´ ï¼ˆæ–‡å­—)を返ã™ã€‚\\ -Cindyscript㮠アンダーãƒãƒ¼ã®æ¼”ç®—å­ (list\_n , str\_n) ã¨åŒæ§˜ã€‚Silabã¨ã®æ•´åˆæ€§ã®ãŸã‚追加\\ - \\ -\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} -\newpage - -\end{description} -\newpage - -%第11節 ä»–ã®æ•°å¼å‡¦ç†ã‚½ãƒ•ãƒˆã¨ã®é€£æºã€€============================= -\section{ä»–ã®æ•°å¼å‡¦ç†ã‚½ãƒ•ãƒˆãªã©ã¨ã®é€£æº} -\subsection{Rã¨ã®é€£æº} -Rã¯ä¸»ã«çµ±è¨ˆè§£æžã®ãŸã‚ã®ã‚½ãƒ•ãƒˆã‚¦ã‚§ã‚¢ã§ï¼Œã€€binorm(二項分布),pois(ãƒã‚¢ã‚½ãƒ³ï¼‰ï¼Œunif(一様分布),chisq(カイ2乗),f(F分布),t(t分布)ãªã©ï¼Œå¤šãã®ç¢ºçŽ‡åˆ†å¸ƒã‚’サãƒãƒ¼ãƒˆã—ã¦ã„る。\\ -æ­£è¦åˆ†å¸ƒï¼ˆnormal distribution)ã§ã¯\\ - dnorm 確率密度関数\\ - pnorm 分布関数\\ - qnorm 分布関数ã®é€†é–¢æ•°\\ - rnorm 乱数発生\\ -ã¨ã„ã†ã‚ˆã†ã«ï¼Œåˆ†å¸ƒåã®é ­ã«d, p, q, r ã‚’ã¤ã‘ã‚‹ã¨ä¸Šè¨˜ï¼”ã¤ã®é–¢æ•°ãŒå¾—られる。\\ - å„分布ã«ã¯ï¼Œè‡ªç”±åº¦ãªã©ã®å¼•æ•°ãŒã‚り,ãŸã¨ãˆã°ï¼Œå¹³å‡m, 標準åå·®sã®æ­£è¦åˆ†å¸ƒï¼ˆã®å¯†åº¦é–¢æ•°ï¼‰ã¯ã€€ã€€dnorm(x, m ,s ) ã¨ãªã‚‹ã€‚\\ - \\ - KeTCindyã§ã¯ï¼Œkc.bat/shã«ã‚ˆã£ã¦ã‚³ãƒžãƒ³ãƒ‰ã‚’Rã«æ¸¡ã—,çµæžœã‚’テキストファイルã§å—ã‘å–る。ã“ã®ã¨ã,Rã¨ã®ã‚„ã‚Šã¨ã‚Šã§ï¼Œæ¬¡ã®ã‚ˆã†ãªãƒ•ã‚¡ã‚¤ãƒ«ãŒä½œæ¥­ãƒ‡ã‚£ãƒ¬ã‚¯ãƒˆãƒªã«ä½œæˆã•ã‚Œã‚‹ã€‚\\ -æ‹¡å¼µå­ r :r用ã®ãƒ•ã‚¡ã‚¤ãƒ«\\ -æ‹¡å¼µå­ datï¼Œæ‹¡å¼µå­ txt:データファイル\\ -ã“ã®ãƒ‡ãƒ¼ã‚¿ã®ã‚„ã‚Šå–ã‚Šã«é–¢ã™ã‚‹æ¬¡ã®ã‚ªãƒ—ションãŒã‚る。\\ - オプションãªã—ã¾ãŸã¯ï¼Œâ€â€ ã®ã¨ã\\ -  i) データファイルãŒãªã‘ã‚Œã°ï¼Œæ–°ã—ã作る\\ -  ii) データファイルãŒæ—¢ã«ã‚ã‚Œã°ãれを読ã¿è¾¼ã‚€\\ - "m" ã®ã¨ã,強制的ã«ãƒ‡ãƒ¼ã‚¿ãƒ•ã‚¡ã‚¤ãƒ«ã‚’作り直ã™ã€‚\\ - "r" ã®ã¨ã,ã™ã§ã«ã‚るデータファイルを読ã¿è¾¼ã‚€ã€‚\\ - ã“ã®ã¨ã,ファイルã®èª­ã¿æ›¸ãã§ä¸å…·åˆãŒã‚ã‚‹ã¨ï¼Œæ•°ç§’ã®å¾Œã€Œ==$>$ file.txt not generated (5 s ) ã€ã®ã‚ˆã†ãªã‚¨ãƒ©ãƒ¼ãƒ¡ãƒƒã‚»ãƒ¼ã‚¸ãŒã‚³ãƒ³ã‚½ãƒ¼ãƒ«ã«è¡¨ç¤ºã•ã‚Œã‚‹ã€‚ã“ã®ã‚ˆã†ãªå ´åˆã¯ä½œæ¥­ãƒ‡ã‚£ãƒ¬ã‚¯ãƒˆãƒªã®è¨­å®šãªã©ã‚’確èªã—ã¦ã„ãŸã ããŸã„。ã“ã®å¾…ã¡æ™‚é–“ã«ã¤ã„ã¦ã¯ï¼ŒWaitオプションã§è¨­å®šã™ã‚‹ã“ã¨ã‚‚ã§ãる。\\ - \\ - -\begin{description} -\hypertarget{boxplot}{} -\item[関数] Boxplot(åå‰,データ,åž‚ç›´ä½ç½®,高ã•,option) -\item[機能] 箱ã²ã’図をæã -\item[説明] データã¯ï¼Œç›´æŽ¥çš„ã«å¤‰æ•°ã§æ¸¡ã™å ´åˆã¨ãƒ•ã‚¡ã‚¤ãƒ«ã‹ã‚‰èª­ã¿è¾¼ã‚€å ´åˆãŒã‚る。\\ -例:乱数ã§ä½œæˆã—ãŸï¼•æœªæº€ã®å®Ÿæ•°ã®ãƒ‡ãƒ¼ã‚¿ã‚’ç®±ã²ã’図ã«ã™ã‚‹ã€‚\\ -\begin{verbatim} -  dt1=apply(1..100,5*random()); -  Boxplot("1",dt1,1,1/2); -\end{verbatim} - \\ -例:外部ファイルã¨ã—ã¦ç”¨æ„ã—ãŸãƒ‡ãƒ¼ã‚¿ã‚’読ã¿è¾¼ã‚“ã§ç®±ã²ã’図ã«ã™ã‚‹ã€‚データファイルã¯csvå½¢å¼ã¨ã™ã‚‹ã€‚\\ -\begin{verbatim} -  Boxplot("2","datafile.csv",3,1/2); -  Boxplot("1",dt1,1,1/2); -\end{verbatim} - \\ - 複数列ã‹ã‚‰æˆã‚‹csvファイルを読ã¿è¾¼ã‚€ã«ã¯ï¼ŒReadcsvを使ã†ã€‚読ã¿è¾¼ã‚“ã ãƒ•ã‚¡ã‚¤ãƒ«ã¯ï¼ŒReadcsv()ã§æŒ‡å®šã—ãŸåå‰ã®ãƒªã‚¹ãƒˆã«å…¥ã‚‹ã€‚(頭部ã¯rc)\\ - データã®å€¤ã‚’ç”»é¢ã«å…¥ã‚‹ã‚ˆã†ã«èª¿ç¯€ã™ã‚‹ã«ã¯ï¼Œæ¬¡ã®ã‚ˆã†ã«ãƒªã‚¹ãƒˆã®è¨ˆç®—を利用ã™ã‚Œã°ã‚ˆã„。\\ -  ã¾ãŸï¼ŒFramedata2(),Rulerscale() を併用ã™ã‚‹ã“ã¨ã§ç›®ç››ã‚’入れるã“ã¨ãŒã§ãる。Framedata2() ã®ãŸã‚ã«ï¼Œè¡¨ç¤ºé ˜åŸŸã®å¯¾è§’点A,Bã‚’Cinderellaã®ä½œå›³ãƒ„ールã§ä½œå›³ã—ã¦ãŠã。\\ -\begin{verbatim} -  Readcsv("1","datafile.csv"); -  dt1=apply(rc1,#_1); -  dt2=apply(rc1,#_2); -  Boxplot("1",dt1/20,1,1/2); -  Boxplot("2",dt2/20,3,1/2); -  Framedata2("1",[A,B]); -  Rulerscale(A,["r",0,6,1],["f",1,"\mbox{dt1}",3,"\mbox{dt2}"]); -\end{verbatim} - \\ -     \input{Fig/boxplot}\\ - -\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} - -\hypertarget{calcbyr}{} -\item[関数] CalcbyR(変数å,コマンド列,option) -\item[機能] Rã®ã‚³ãƒžãƒ³ãƒ‰ã‚’実行ã—ã¦çµæžœã‚’返㙠-\item[説明] ãƒãƒƒãƒãƒ•ã‚¡ã‚¤ãƒ« kc.bat / シェルファイル kc.sh を利用ã—ã¦Rã¨ãƒ‡ãƒ¼ã‚¿ã‚’ã‚„ã‚Šå–ã‚Šã—,計算çµæžœã‚’å–å¾—ã™ã‚‹ã€‚\\ - \\ -例:Rを用ã„ã¦æ¨™æº–æ­£è¦åˆ†å¸ƒã‹ã‚‰10個ã®ä¹±æ•°ã‚’発生ã—,平å‡å€¤ã¨æ¨™æº–å差を求ã‚ã¦ã‚³ãƒ³ã‚½ãƒ¼ãƒ«ã«è¡¨ç¤ºã™ã‚‹ã€‚ -\begin{verbatim} -  cmdL=[ "=rnorm",[10] ]; -  CalcbyR("dt",cmdL); -  nx=length(dt); -  mx=sum(dt)/nx; -  sx=sqrt(dt*dt/nx-mx^2); -  println("データ:"+dt); -  println("å¹³å‡ï¼š"+format(mx,4)+"  標準å差:"+format(sx,4)); -\end{verbatim} -1行目ã®ã€€cmdL=[ "=rnorm",[10] ] ã§ï¼Œæ¨™æº–æ­£è¦åˆ†å¸ƒã‹ã‚‰10個ã®ä¹±æ•°ã‚’発生ã™ã‚‹ã‚³ãƒžãƒ³ãƒ‰åˆ—を定義。\\ -2行目ã§ï¼ŒRã§è¨ˆç®—ã—ãŸçµæžœãŒãƒªã‚¹ãƒˆ dt ã«å…¥ã‚‹ã€‚\\ - \\ -例:Rを用ã„ã¦N(50,$5^2$)ã‹ã‚‰10個ã®ä¹±æ•°ã‚’発生ã—,平å‡ã¨ä¸å分散もRã§è¨ˆç®—ã—ã¦ãã®çµæžœã‚’コンソールã«è¡¨ç¤ºã™ã‚‹ã€‚ -\begin{verbatim} -  cmdL=[ -    "tmp1=rnorm",[10,50,5], -    "tmp2=mean",["tmp1"], -    "tmp3=var",["tmp1"], -    "=c(tmp1,tmp2,tmp3)",[] -  ]; -  CalcbyR("rd",cmdL); -  dt=rd_(1..(length(rd)-2)); -  mx=rd_(-2); -  vx=rd_(-1); -  println("データ:"+dt); -  println("å¹³å‡ï¼š"+format(mx,4)+"  ä¸å分散:"+format(vx,4)); -\end{verbatim} - CalcbyR()ã«ã‚ˆã£ã¦ï¼Œãƒ‡ãƒ¼ã‚¿ã¨å¹³å‡ï¼Œä¸å分散ã‹ã‚‰ãªã‚‹ãƒªã‚¹ãƒˆãŒä½œæˆã•ã‚Œã‚‹ã®ã§ï¼Œmxã«å¹³å‡ï¼Œvxã«ä¸å分散を代入ã—ã¦ã„る。\verb|rd_(-1)| ã¯ï¼Œãƒªã‚¹ãƒˆ rd ã®æœ«å°¾ã®è¦ç´ ã€‚\\ - \\ -例:Rã§ãƒã‚¢ã‚½ãƒ³åˆ†å¸ƒã‹ã‚‰200個ã®ä¹±æ•°ã‚’ã¨ã‚Šï¼Œæ¨™æœ¬å¹³å‡ã®åˆ†å¸ƒã®æ§˜å­ï¼åˆ†æ•£ãŒå°ã•ããªã£ã¦ï¼Œæ­£è¦åˆ†å¸ƒã«è¿‘ã¥ã„ã¦ã„る様å­ï¼ã‚’ヒストグラムã§è¦‹ã‚‹ã€‚ -\begin{verbatim} -  cmdL=[ -   "tmp1=rpois",[200,5], -   "tmp2=mean",["tmp1"], -   "tmp3=var",["tmp1"], -    "=c(tmp2,tmp3,tmp1)",[] -  ]; -  CalcbyR("rd",cmdL); -  dt=rd_(3..length(rd)); -  nn=length(dt); -  mx=rd_1; -  vx=rd_2*(nn-1)/nn; -  sx=sqrt(vx); -  println(dt); -  println(["m="+format(mx,4),"v="+format(vx,4)]); -  Setscaling(1/5); -  Histplot("1",dt,["Breaks=seq(0,14,1)","dr,0.5"]); -\end{verbatim} - \\ -     \input{Fig/poison01}\\ - \\ -例:ãƒã‚¢ã‚½ãƒ³åˆ†å¸ƒã§ä¹±æ•°ã‚’2000個発生ã•ã›ï¼Œ10個ãšã¤ã®å¹³å‡ã‚’ï¼²ã§è¨ˆç®—ã—, -\begin{verbatim} -  cmdL=[ -   "tmp1=rpois",[2000,5], -   "tmp2=c()",[], -   "for(k in 1:200){",[], -   " tmp=tmp1[(10*(k-1)+1):(10*k)]",[], -   " tmp2=c(tmp2,mean(tmp))",[], -   "}",[], -   "=tmp2",[] -  ]; -  CalcbyR("rd2",cmdL); -  Setscaling(1/10); -  Histplot("2",rd2); -\end{verbatim} - -\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} -\hypertarget{histplot}{} -\item[関数] Histplot(name,data,option) -\item[機能] Rを利用ã—ã¦ãƒ’ストグラムをæã -\item[説明] dataã¯ãƒªã‚¹ãƒˆã«ã—ã¦ä½œæˆã™ã‚‹ã‹ï¼Œå¤–部ファイルã‹ã‚‰Readcsv()ã§èª­ã¿è¾¼ã‚€ã€‚\\ -階級範囲(ブレークãƒã‚¤ãƒ³ãƒˆï¼‰ã¯ï¼Œé€šå¸¸ã‚¹ã‚¿ãƒ¼ã‚¸ã‚§ã‚¹ã®å…¬å¼ã«ã‚ˆã‚‹ãŒï¼Œã‚ªãƒ—ションã§ï¼Œ\\ -   "breaks=[0,10,20,30,40,50,60,70,80,90,100]"\\ -ãªã©ã¨æŒ‡å®šã™ã‚‹ã“ã¨ã‚‚ã§ãる。\\ - ã“ã®ä»–ã®ã‚ªãƒ—ションã¯\\ -  "Den=yes/no":密度ã®æŒ‡å®šï¼ˆåˆæœŸå€¤ã¯ no)\\ -  "Rel=yes/no":相対度数ã«ã™ã‚‹/ã—ãªã„(åˆæœŸå€¤ã¯ no)\\ - \\ -例:csvファイル(datafile.csv)を読ã¿è¾¼ã¿ï¼Œãƒ’ストグラムを作る。Framedata2() 㨠Rulerscale()を併用ã—ã¦ï¼Œç›®ç››ä»˜ãã®æž ã®ä¸­ã«è¡¨ç¤ºã™ã‚‹ã€‚表示枠ã®å¯¾è§’点A,Bã¯Cinderellaã®ä½œå›³ãƒ„ールã§ä½œå›³ã—ã¦ãŠã。 -\begin{verbatim} -  Addax(0); -  Setscaling(5); -  Setunitlen("0.6mm"); -  Readcsv("1","datafile.csv",[""]); -  Histplot("1",dt1,[""]); -  Framedata2("1",[A,B]); -  Rulerscale(A,["r",0,100,10],["r",0,15,5]); -\end{verbatim} -  \input{Fig/histgram}\\ - -2行目ã¨ï¼“行目ã¯ï¼Œãƒ‡ãƒ¼ã‚¿ã«åˆã‚ã›ã¦ç¸¦æ–¹å‘を5å€ã«ã—,TeXã®å˜ä½é•·ã‚’0.6mmã«ã—ã¦ã„る。\\ -Den,Rel オプションをyes ã«ã—ãŸã¨ãã¯ï¼ŒSetscaling(100)ãら ã„ã«ã™ã‚‹ã®ãŒã‚ˆã„。\\ -csvファイルãŒè¤‡æ•°ã®ãƒ‡ãƒ¼ã‚¿ã‹ã‚‰ãªã‚‹å ´åˆã¯ï¼Œ\\ -  \verb|dt1=apply(rc1,#_1);| -ã¨ã—ã¦ï¼Œãƒªã‚¹ãƒˆã®ç¬¬ï¼‘è¦ç´ ã‚’å–å¾—ã™ã‚‹ã€‚第2è¦ç´ ã®ãƒ’ストグラムã§ã‚れ㰠\verb|#_2| ã¨ã™ã‚‹ã€‚\\ - \\ -\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} - -\hypertarget{plotdatar}{} -\item[関数] PlotdataR(name,å¼,変数) -\item[機能] Rã®é–¢æ•°ã®ã‚°ãƒ©ãƒ•ã‚’æã -\item[説明] Cindyscriptã®çµ„ã¿è¾¼ã¿é–¢æ•°ã«ã¯ãªã„関数ã®ã‚°ãƒ©ãƒ•ã‚’Rを利用ã—ã¦æã。\\ - -例:平å‡5, 標準åå·®2ã®æ­£è¦åˆ†å¸ƒã®å¯†åº¦é–¢æ•°ã¨åˆ†å¸ƒé–¢æ•°ã®ã‚°ãƒ©ãƒ•ã‚’æã。 -\begin{verbatim} -  PlotdataR(“1â€, “dnorm(x,5,2)â€, â€x=[0,10]â€); -  PlotdataR(“2â€, â€pnorm(x,5,2)â€, â€x=[0,10]â€); -\end{verbatim} - -例:標準正è¦åˆ†å¸ƒã®ã‚°ãƒ©ãƒ•ä¸Šã®ç‚¹ã¨x軸をçµã‚“ã ç·šåˆ†ã‚’æã。\\ -点A,Bã¯Cinderellaã®ä½œå›³ãƒ„ールã§ä½œå›³ã—ã¦ãŠã,点Aをグラフ上ã®ãŠã‚ˆãã®ä½ç½®ã«ç½®ã„ã¦ã‹ã‚‰å®Ÿè¡Œã™ã‚‹ã€‚ -\begin{verbatim} -  PlotdataR("1","dnorm(x)","x=[-5,5]"); -  Putoncurve("A","grR1",[-3,3]); -  Putpoint("B",[A.x,0]); -  Listplot("1",[A,B]); -\end{verbatim} -2行目ã®æœ€å¾Œã®å¼•æ•°ã®[-3,3]ã¯ï¼Œãã®ç¯„囲を動ã‹ã™ã“ã¨ã‚’æ„味ã™ã‚‹ã€‚\\ -Aã¯ã‚°ãƒ©ãƒ•ä¸Šã‚’å‹•ã‹ã™ã“ã¨ãŒã§ãã¦ï¼ŒBã¯ãã‚Œã«ä¼´ã£ã¦å‹•ã。ãŸã ã—,少ã—å‹•ã‹ã™åº¦ã« ãƒãƒƒãƒ/シェル ファイルを実行ã™ã‚‹ã®ã§ï¼Œç…©é›‘ãªå ´åˆã¯ï¼ŒPlotdata() ã®è¡Œã‚’コメント化ã—ã¦ã‹ã‚‰ç‚¹Aã‚’å‹•ã‹ã—ãŸã‚ã¨å†å®Ÿè¡Œã™ã‚‹ã¨ã‚ˆã„。\\ - \\ -例:上ã¨åŒæ§˜ã§ï¼Œx軸上ã®ç‚¹ã‚’自由点Aã¨ã—,曲線上ã«Bã‚’ç½®ã。 -\begin{verbatim} -  PlotdataR("1","dnorm(x)","x=[-5,5]"); -  PlotdataR("1","dnorm(x)","x=[-5,5]"); -  A.xy=[A.x,0]; -  Lineplot("1",[A,A+[0,1]],["nodisp"]); -  Putintersect("B","grR1","ln1"); -  Listplot("1",[A,B]); -\end{verbatim} - \\ -例:å‰ã®ä¾‹ã®ã‚°ãƒ©ãƒ•ã§ï¼ŒABã®å·¦å´ã«Shadeã‚’ã‹ã‘,Shadeã®éƒ¨åˆ†ã®é¢ç©ã‚’求ã‚る。Pã®å€¤ã‚’表示ã™ã‚‹ä½ç½®ã«ï¼ŒCinderellaã®ä½œå›³ãƒ„ールã§ç‚¹Cã‚’ã¨ã£ã¦ãŠã。 -\begin{verbatim} -  tmp1=[0.2,0,0,0]; -  tmp2=Colorcmyk2rgb(tmp1); -  Setcolor(tmp1); -  Setcolor([0.2,0,0,0]); -  Shade(["en1"],["color->"+text(tmp2)]); -  Setcolor("black"); -  PlotdataR("1","dnorm(x)","x=[-5,5]",["Num=100"]); -  Putpoint("A",[0,0],[A.x,0]); -  Lineplot("1",[A,A+[0,1]],["nodisp"]); -  Putintersect("B","grR1","ln1"); -  Listplot("1",[A,B]); -  Listplot("2",[[-5,0],[5,0]],"nodisp"); -  Enclosing("1",["Invert(grR1)","sg2","sg1"],[B,"notex"]); -  tmp=0.5+Integrate("grR1",[0,A.x]); -  Expr([A,"s",text(A.x),C,"e","P="+text(tmp)]); -\end{verbatim} - \\ -  \input{Fig/rshade}\\ - \\ -Shade() ã¯ãƒ—ロットデータを定義ã—ãªã„ã®ã§ï¼Œå…ˆã«æ›¸ã„ã¦ãŠãã¨å¡—ã£ã¦ã‹ã‚‰ç·šã‚’æãã®ã§ï¼Œã«ã˜ã¿ãŒãªããã‚Œã„ã«ä»•ä¸ŠãŒã‚‹ã€‚("en1"ã¯Enclosing("1"・・)ã§ã§ãるプロットデータ)\\ - \\ -\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} - -\hypertarget{plotdiscr}{} -\item[関数] PlotdiscR(name,å¼,変数) -\item[機能] Rを利用ã—ã¦é›¢æ•£åž‹ã®ã‚°ãƒ©ãƒ•ã‚’æã -\item[説明] dbinom (二項分布),dpois(ãƒã‚¢ã‚½ãƒ³åˆ†å¸ƒï¼‰ï¼Œdgeom(幾何分布)ãªã©é›¢æ•£åž‹ç¢ºçŽ‡åˆ†å¸ƒã®ã‚°ãƒ©ãƒ•ã‚’æã。\\ - \\ -例:二項分布ã®ã‚°ãƒ©ãƒ•ã¨æ­£è¦åˆ†å¸ƒã®ã‚°ãƒ©ãƒ•ã‚’比較ã™ã‚‹ã€‚ -\begin{verbatim} -  Setscaling(20); -  PlotdiscR("1","dbinom(k,10,0.4)","k=[0,10]"); -  PlotdataR("1","dnorm(x,10*0.4,sqrt(10*0.4*0.6))","x=[0,10]",["do"]); -\end{verbatim} - \\ -  \input{Fig/binvsnormal}\\ - \\ -関数部分ãŒé•·ããªã‚‹ã¨ãã¯ï¼ŒAssign()を利用ã—ã¦æ¬¡ã®ã‚ˆã†ã«æ›¸ãã“ã¨ã‚‚ã§ãる。 -\begin{verbatim} -  tmp="dnorm(x,n*p,sqrt(n*p*(1-p)))"; -  tmp=Assign(tmp,["n",10,"p",0.4]); -  PlotdataR("2",tmp,"x=[0,10]",["do"]); -\end{verbatim} - -次ã¯ï¼Œãƒã‚¢ã‚½ãƒ³åˆ†å¸ƒãŠã‚ˆã³å¹¾ä½•åˆ†å¸ƒã®ã‚°ãƒ©ãƒ•ã€‚ -\begin{verbatim} -PlotdiscR("2","dpois(k,4)","k=[0,10]"); -PlotdiscR("3","dgeom(k,0.3)","k=[0,10]"); -\end{verbatim} - \\ -\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} - -\hypertarget{readcsv}{} -\item[関数] Readcsv(name,filename,option) -\item[機能] Rを利用ã—ã¦csvファイルを読む。 -\item[説明] Rを使ã£ã¦csvファイルを読ã¿ï¼ŒKeTCindyã«å¼•ã渡ã™ã€‚\\ -利用例㯠Boxplot() ãªã©ã®ä¾‹ã‚’å‚ç…§ã®ã“ã¨ã€‚\\ - \\ - -\hypertarget{scatterplot}{} -\item[関数] Scatterplot(name,filename,option) -\item[機能] 2次元データを読ã¿è¾¼ã¿ï¼Œæ•£å¸ƒå›³ã‚’æã -\item[説明] 外部ファイル filename(csvå½¢å¼ï¼‰ã‚’読ã¿ï¼Œæ•£å¸ƒå›³ã‚’æã。\\ -オプションã¯ã€€"Reg=no" : 回帰直線をæãã‹ã©ã†ã‹ï¼ˆyes/no) åˆæœŸå€¤ã¯ yes\\ -        A, B 表示枠ã®å¯¾è§’点(左下ã¨å³ä¸Šã®ç‚¹ï¼‰ï¼ˆCinderellaã§ä½œå›³ï¼‰\\ -        C  相関係数ã¨å›žå¸°ç›´ç·šã®å¼ã‚’表示ã™ã‚‹ç‚¹\\ -       "Size=n" :点ã®å¤§ãã•ã€‚Cinderellaã®æç”»é¢ã«ã¯å映ã•ã‚Œãªã„。\\ -           æç”»é¢ã®ç‚¹ã‚‚大ããã™ã‚‹å ´åˆã¯ï¼Œ"size-$>$n"オプションを追加ã™ã‚‹ã€‚\\ -例:data.csv を読んã§æ•£å¸ƒå›³ã‚’æã,回帰直線を引ã。 -\begin{verbatim} -  Scatterplot("1","data.csv",["Reg=yes",A,B,C,"Size=5"]); -  Rulerscale(A,["r",0,10,1],["r",1,10,1]); -\end{verbatim} - optionã®ç‚¹A,Bã¯Cinderellaã®ä½œå›³ãƒ„ールã§ã¨ã£ãŸè¡¨ç¤ºé ˜åŸŸã®å¯¾è§’点。( AãŒå·¦ä¸‹ã€‚ãªãŠï¼Œå¯¾è§’点ã®å称ã¯A,Bã«ã¯é™ã‚‰ãªã„。)\\ - 回帰直線をæãå ´åˆ("Reg=yes")ã¯ï¼Œå›žå¸°ç›´ç·šãŒæž ã‹ã‚‰ã¯ã¿å‡ºã™ã®ã§ï¼ŒAã‚’SW,Bã‚’NEã«ä¸€è‡´ã•ã›ã‚‹ã¨ã‚ˆã„。\\ - Cã¯ç›¸é–¢ä¿‚æ•°ã¨å›žå¸°ç›´ç·šã®å¼ã‚’表示ã™ã‚‹ç‚¹ã¨ã—ã¦Cinderellaã®ä½œå›³ãƒ„ールã§å–る。ã“れも,å称ã¯ï¼£ã«ã¯é™ã‚‰ãªã„。\\ -   \verb|Rulerscale(A,["r",0,10,1],["r",1,10,1]);|\\ - ã§è¡¨ç¤ºæž ã«ç›®ç››ã‚’打ã£ã¦ã„る。"r" ã¯ç­‰å¹…,"f"㯠Tickmark ã¨åŒã˜æŒ‡å®šã€‚\\ - \\ -     \input{Fig/scatter}\\ -\end{description} -\newpage - -% Maximaã¨ã®é€£æºã€€================================== -\subsection{Maximaã¨ã®é€£æº} -Maximaã¯æ•°å¼å‡¦ç†ã‚½ãƒ•ãƒˆã§ï¼ŒKeTCindyã«ãŠã„ã¦ã¯å¾®ç©åˆ†ã®è¨ˆç®—ãªã©ï¼ŒCindyscriptã§ã¯ä¸å分ãªç‚¹ã‚’補ã†ã“ã¨ãŒã§ãる。\\ - KeTCindyã§ã¯ï¼Œkc.bat/shã«ã‚ˆã£ã¦ã‚³ãƒžãƒ³ãƒ‰ã‚’Maximaã«æ¸¡ã—,çµæžœã‚’テキストファイルã§å—ã‘å–る。ã“ã®ã¨ã,Maximaã¨ã®ã‚„ã‚Šã¨ã‚Šã§ï¼Œæ¬¡ã®ã‚ˆã†ãªãƒ•ã‚¡ã‚¤ãƒ«ãŒä½œæ¥­ãƒ‡ã‚£ãƒ¬ã‚¯ãƒˆãƒªã«ä½œæˆã•ã‚Œã‚‹ã€‚\\ -æ‹¡å¼µå­ max :Maxima用ã®ãƒ•ã‚¡ã‚¤ãƒ«\\ -æ‹¡å¼µå­ txt:データファイル\\ -ã“ã®ãƒ‡ãƒ¼ã‚¿ã®ã‚„ã‚Šå–ã‚Šã«é–¢ã™ã‚‹æ¬¡ã®ã‚ªãƒ—ションãŒã‚る。\\ - オプションãªã—ã¾ãŸã¯ï¼Œâ€â€ ã®ã¨ã\\ -  i) データファイルãŒãªã‘ã‚Œã°ï¼Œæ–°ã—ã作る\\ -  ii) データファイルãŒæ—¢ã«ã‚ã‚Œã°ãれを読ã¿è¾¼ã‚€\\ - "m" ã®ã¨ã,強制的ã«ãƒ‡ãƒ¼ã‚¿ãƒ•ã‚¡ã‚¤ãƒ«ã‚’作り直ã™ã€‚\\ - "r" ã®ã¨ã,ã™ã§ã«ã‚るデータファイルを読ã¿è¾¼ã‚€ã€‚\\ - ã“ã®ã¨ã,ファイルã®èª­ã¿æ›¸ãã§ä¸å…·åˆãŒã‚ã‚‹ã¨ï¼Œæ•°ç§’ã®å¾Œã€Œ==$>$ file.txt not generated (5 s ) ã€ã®ã‚ˆã†ãªã‚¨ãƒ©ãƒ¼ãƒ¡ãƒƒã‚»ãƒ¼ã‚¸ãŒã‚³ãƒ³ã‚½ãƒ¼ãƒ«ã«è¡¨ç¤ºã•ã‚Œã‚‹ã€‚ã“ã®ã‚ˆã†ãªå ´åˆã¯ä½œæ¥­ãƒ‡ã‚£ãƒ¬ã‚¯ãƒˆãƒªã®è¨­å®šãªã©ã‚’確èªã—ã¦ã„ãŸã ããŸã„。ã“ã®å¾…ã¡æ™‚é–“ã«ã¤ã„ã¦ã¯ï¼ŒWaitオプションã§è¨­å®šã™ã‚‹ã“ã¨ã‚‚ã§ãる。\\ - -\begin{description} - -\hypertarget{calcbyM}{} -\item[関数] CalcbyM(name,コマンド,option) -\item[機能] Maximaã®ã‚¹ã‚¯ãƒªãƒ—トを実行ã™ã‚‹ -\item[説明] 第2引数ã¯Maximaã§å®Ÿè¡Œã™ã‚‹ã‚³ãƒžãƒ³ãƒ‰ã€‚\\ - コマンドã¨å¼•æ•°ãƒªã‚¹ãƒˆã®ç¹°ã‚Šè¿”ã—ã‹ã‚‰ãªã‚‹ãƒªã‚¹ãƒˆï¼ˆä¾‹ãˆã°cmdL)を作ã£ã¦ï¼Œä¸€åº¦ã«å®Ÿè¡Œã™ã‚‹ã€‚\\ - 戻り値ã¯ãªã„。(未定義値) çµæžœã¯ï¼Œã‚³ãƒžãƒ³ãƒ‰ãƒªã‚¹ãƒˆã®æœ€å¾Œã«è¨˜è¿°ã—ãŸå¤‰æ•°ï¼ˆå¼•æ•°ã¯ç©ºãƒªã‚¹ãƒˆï¼‰ã®å€¤ãŒname ã§æŒ‡å®šã•ã‚ŒãŸå¤‰æ•°ã«ä»£å…¥ã•ã‚Œã‚‹ã€‚複数ã®çµæžœã‚’戻ã™ã¨ãã¯ï¼Œ:: ã§åŒºåˆ‡ã£ã¦è¨˜è¿°ã™ã‚‹ã¨ãƒªã‚¹ãƒˆã«ã—ã¦ä»£å…¥ã•ã‚Œã‚‹ã€‚\\ - \\ -例:$\sin x$ ã¨ãã®å°Žé–¢æ•°ã‚’表示ã™ã‚‹ã€‚çµæžœã¯ 変数 fdf ã« f ã¨df ã®ãƒªã‚¹ãƒˆãŒä»£å…¥ã•ã‚Œã‚‹ã€‚ -\begin{verbatim} -  cmdL=[ -   "f:sin(x)", [], -   "df:diff",["sin(x)","x"], -   "f::df",[] -  ]; -  CalcbyM("fdf",cmdL); -  println(fdf); -\end{verbatim} - \\ - 実行ã™ã‚‹ã¨ï¼Œã‚³ãƒ³ã‚½ãƒ¼ãƒ«ã«ï¼Œ[sin(x),cos(x)] ã¨è¡¨ç¤ºã•ã‚Œã‚‹ã€‚\\ - \\ -ä¾‹ï¼šï¼’æ¬¡æ–¹ç¨‹å¼ $x^2-x-4=0$ã®è§£ã‚’求ã‚る。 -\begin{verbatim} -  cmdL=[ -   "ans:solve",["x^2-x-4","x"], -   "ans",[] -  ]; -  CalcbyM("ans",cmdL); -  println("ans="+ans); -\end{verbatim} - コンソールã«ã¯\\ -  ans=[x = -(sqrt(17)-1)/2,x = (sqrt(17)+1)/2] \\ - ãŒè¡¨ç¤ºã•ã‚Œã‚‹ã€‚\\ - \\ -{\bf 応用例1:曲線ã®æŽ¥ç·šã‚’引ã}\\ - \\ - $f(x)=\dfrac{e^x+e^{-x}}{2}$ ã®ï¼Œ$x=a$ã«ãŠã‘る接線ã®æ–¹ç¨‹å¼ã‚’作る。\\ -Maximaã§ãã®å‡¦ç†ã‚’è¡Œã†ã‚³ãƒžãƒ³ãƒ‰ã‚’定義ã—,CalbyMã§å®Ÿè¡Œã™ã‚‹ã€‚ -\begin{verbatim} -  fx="(exp(x)+exp(-x))/2"; -  cmdL=[ -   "df:diff",[fx,"x"], -   "c:ev",["df","x=a"], -   "b:ev",[fx,"x=a"], -   "eq:c*(x-a)+b",[], -    "eq",[] -  ]; -  CalcbyM("tn1",cmdL); -  println(tn1); -\end{verbatim} - コンソールã«ã¯ -\begin{verbatim} -  (%e^a-%e^-a)*(x-a))/2+(%e^a+%e^-a)/2 -\end{verbatim} -ãŒè¡¨ç¤ºã•ã‚Œã‚‹ã€‚\\ - ã“ã®ï¼ŒCalbyMã®æˆ»ã‚Šå€¤ tn1 を用ã„ã¦ï¼Œæ›²ç·šä¸Šã®ï¼‘点Aã«ãŠã‘る接線ã®ã‚°ãƒ©ãƒ•ã‚’æã。以下ã®ã‚¹ã‚¯ãƒªãƒ—トを追加ã™ã‚‹ã€‚ãªãŠï¼Œç‚¹Aã‚’Cinderellaã®ä½œå›³ãƒ„ールã§é©å½“ãªã¨ã“ã‚ã«ã¨ã£ã¦ãŠã。 -\begin{verbatim} -  tn1=Assign(tn1,["%e^a","exp(a)","%e^-a","exp(-a)"]); -  Plotdata("1",fx,"x"); -  Putoncurve("A","gr1"); -  tmp=Assign(tn1,["a",A.x]); -  plotdata("2",tmp,"x",["Num=2"]); -\end{verbatim} -1行目ã§ã¯Maximaã§ä½œæˆã—ãŸå¼ã‚’,Cindyscriptã§ãƒ—ロットã§ãã‚‹å¼ã«ã—ã¦ã„る。\\ - \\ -      \input{Fig/maxfun01}\\ - \\ - ãªãŠï¼ŒæŽ¥ç·šã®æ–¹ç¨‹å¼ã‚’求ã‚ã‚‹ã ã‘ã§ã‚ã‚Œã°ï¼ŒMxfun()を使ã†ã“ã¨ã‚‚ã§ãる。Mxfun()ã®è§£èª¬ã‚’å‚ç…§ã®ã“ã¨ã€‚\\ - \\ -{\bf 応用例2:パラメトリックã®å ´åˆã®æŽ¥ç·š}\\ - \\ - 媒介変数ã®å€¤ã‚’決ã‚ã‚‹ãŸã‚ã«ï¼Œç‚¹Aã‚’Cinderellaã®æç”»é¢ã®x軸上ã«ã¨ã£ã¦ãŠã,ãã®$x$座標を媒介変数$t$ã®å€¤ã¨ã™ã‚‹ã€‚スライダを作ã£ã¦ã‚‚よã„。 -\begin{verbatim} -  fn="3*cos(t)^2*[cos(t),sin(t)]"; -  cmdL=[ -   "f:",[fn], -   "df:diff",["f","t"], -   "df:trigsimp",["df"], -   "tn:f+s*df",[], -   "tn",[] -  ]; -  CalcbyM("tn2",cmdL); -  Paramplot("1",fn,"t=[0,2*pi]",["Num=100"]); -  gn=Assign(tn2,["t",A.x]); -  Paramplot("2",gn,"s=[-3,3]"); -\end{verbatim} - \\ -      \input{Fig/maxfun02}\\ - \\ - cmdLã§å®šç¾©ã—ã¦ã„ã‚‹Maximaã®ã‚³ãƒžãƒ³ãƒ‰ï¼ˆtrigsimp ãªã©ï¼‰ã«ã¤ã„ã¦ã¯ï¼ŒMaximaã®è§£èª¬æ›¸ãªã©ã‚’å‚ç…§ã•ã‚ŒãŸã„。\\ - \\ -\hypertarget{example}{} -\item[関数] Example("Mxfun",文字) -\item[機能] Mxfunã®ä½¿ç”¨ä¾‹ã‚’表示。文字㯠"a","b",ãªã©ã€‚ -\item[説明] ãŸã¨ãˆã°ï¼Œ\verb|Example("Mxfun","a")| ã¨ã™ã‚‹ã¨ï¼ŒMxfunã®ä½¿ç”¨ä¾‹ãŒã‚³ãƒ³ã‚½ãƒ¼ãƒ«ã«è¡¨ç¤ºã•ã‚Œã‚‹ã€‚\\ - \\ - -\hypertarget{mxbatch}{} -\item[関数] Mxbatch(ファイルå) -\item[機能] Maximaã®ãƒ•ã‚¡ã‚¤ãƒ«ã‚’実行ã™ã‚‹ã‚³ãƒžãƒ³ãƒ‰ä½œã‚‹ -\item[説明] Dirlibã§æŒ‡å®šã•ã‚ŒãŸãƒ•ã‚©ãƒ«ãƒ€ã®ä¸­ã® maximaL フォルダã«ã‚るファイルを実行ã™ã‚‹ãŸã‚ã®ï¼ŒCalcbyM用ã®ã‚³ãƒžãƒ³ãƒ‰ã‚’作æˆã™ã‚‹ã€‚\\ -例:\verb|cmd=Mxbatch("fourier_sec")|\\ - を実行ã™ã‚‹ã¨ï¼Œcmdã«\\ -  \verb|[batch,["/Applications/ketcindy/ketlib/maximaL/fourier_sec.max"]] |\\ - ãŒä»£å…¥ã•ã‚Œã‚‹ã€‚ãã“ã§ï¼Œ\\ -  \verb|CalcbyM("ret",cmd,[]);|\\ - を実行ã™ã‚Œã°ï¼Œfourier\_sec.max ãŒå®Ÿè¡Œã•ã‚Œã¦ï¼Œçµæžœã‚’ ret ã«å–å¾—ã§ãる。\\ - fourier\_sec.max ã«ç¶šã‘ã¦ï¼Œã‚³ãƒžãƒ³ãƒ‰åˆ— cmd2 を実行ã™ã‚‹ã“ã¨ã‚‚ã§ã,ãã®å ´åˆã¯ -\begin{verbatim} -  cmdL=Concat(Mxbatch("fourier_sec"),cmd2); -  CalcbyM("ret",cmdL,[]); -\end{verbatim} -ã¨ã™ã‚‹ã€‚(Concat() ã¯ãƒªã‚¹ãƒˆã‚’çµåˆã™ã‚‹Cindyscriptã®é–¢æ•°ï¼‰\\ - \\ - -\hypertarget{mxfun}{} -\item[関数] Mxfun(name,å¼ï¼Œãƒªã‚¹ãƒˆï¼Œoption) -\item[機能] Maximaã®é–¢æ•°ã‚’実行ã™ã‚‹ -\item[説明] 第2引数ã®ã€Œå¼ã€ã¯Maximaã®é–¢æ•°å。第3引数ã®ãƒªã‚¹ãƒˆã¯é–¢æ•°ã«æ¸¡ã™å¼•æ•°ã®ãƒªã‚¹ãƒˆã€‚\\ - 戻り値ã¯ï¼Œç¬¬ï¼‘引数ã®å¼ã«ï¼‘ã¤ã§ã‚‚文字ãŒã‚ã‚‹ã¨æ–‡å­—列ã¨ãªã‚‹ã€‚ã™ã¹ã¦æ•°å­—(+,-, . ã‚’å«ã‚€ï¼‰ã®å ´åˆã¯ -16æ¡ä»¥ä¸‹ã§ã‚ã‚Œã°æ•°ï¼Œãれ以上ã®å ´åˆã¯æ–‡å­—列ã¨ãªã‚‹ã€‚ã¾ãŸï¼Œæˆ»ã‚Šå€¤ã¯ï¼Œå¤‰æ•° mxname ã«ã‚‚代入ã•ã‚Œã‚‹ã€‚\\ -オプション㫠"Disp=no" ã‚’ã¤ã‘ã‚‹ã¨ï¼Œçµæžœã‚’コンソールã«è¡¨ç¤ºã—ãªã„。\\ - \\ -例:$10!$を求ã‚る。\\ -  \verb|Mxfun("1","10!",[],[""]);|\\ - を実行ã™ã‚‹ã¨ï¼Œã‚³ãƒ³ã‚½ãƒ¼ãƒ«ã«ã€€mx1 is 362880 ã¨è¡¨ç¤ºã•ã‚Œã‚‹ã€‚ã“ã®å€¤ã¯å¤‰æ•° mx1 ã«ä»£å…¥ã•ã‚Œã¦ã„ã‚‹ã®ã§ï¼Œ\\ -  \verb|drawtext([0,1],mx1);|\\ -ã¨ã™ã‚Œã°Cinderellaã®æç”»é¢ä¸Šã«è¡¨ç¤ºã•ã‚Œã‚‹ã€‚\\ - ã¾ãŸï¼Œæˆ»ã‚Šå€¤ã‚’別ã®å¤‰æ•°ã«ä»£å…¥ã—ã¦ä½¿ã†ã“ã¨ã‚‚ã§ãる。 -\begin{verbatim} -  fact10=Mxfun("1","10!",[],[""]); -  drawtext([0,1],fact10); -\end{verbatim} - \\ -例:$f(x)=\sin x$ を微分ã™ã‚‹\\ -   \verb|Mxfun("1", "diff",["sin(x)","x"])|\\ - ã¨ã™ã‚‹ã¨\\ -  diff(sin(x),x)\\ - ã¨ã„ã†ã‚³ãƒžãƒ³ãƒ‰ã‚’Maximaã«æ¸¡ã—ã¦ï¼Œæˆ»ã‚Šå€¤ã‚’Cindyã®å¤‰æ•°mx1ã«ä»£å…¥ã™ã‚‹ã€‚\\ -   \verb|Mxfun("1", "diff(sin(x),x)",[]])|\\ - ã¨ï¼Œç¬¬ï¼‘引数ã«ã¾ã¨ã‚ã¦ã‚‚åŒã˜çµæžœã«ãªã‚‹ã€‚ãŸã ã—,ã“ã®å ´åˆï¼Œç¬¬ï¼’引数ã¯ç©ºãƒªã‚¹ãƒˆã¨ã™ã‚‹ã€‚\\ - 文字列を引数ã¨ã™ã‚‹å ´åˆï¼Œä¾‹ãˆã°ï¼Œæ–‡å­—列を連çµã™ã‚‹ã‚³ãƒžãƒ³ãƒ‰concatã§ã¯ï¼Œ\\ -   concat("a","b")\\ - ã¨ã™ã‚‹ãŒï¼ŒCindyscriptã®æ–‡å­—列ã®å‡¦ç†ã®é–¢ä¿‚ã§ï¼Œç¬¬ï¼‘引数ã§ã¯ã“ã®å½¢ã§è¨˜è¿°ã§ããªã„。\\ - ã—ãŸãŒã£ã¦ï¼Œã“ã®ã‚ˆã†ãªå ´åˆã¯ï¼Œç¬¬ï¼’引数を使ã£ã¦\\ -   \verb|Mxfun("1","concat",["a","b"])| - ã¨ã™ã‚Œã°ã‚ˆã„。\\ - \\ -{\bf Cindyscriptã®å¾®åˆ†ã¨ã®é•ã„}\\ - Cindyscriptã§ã‚‚微分ã¯ã§ãる。ãŸã¨ãˆã°ï¼Œ -\begin{verbatim} -  f(x):=sin(x); -  g(x):=d(f(#),x); -  plot(g(#)); -\end{verbatim} - ã¨ã™ã‚‹ã¨ï¼Œcos(x)ã®ã‚°ãƒ©ãƒ•ãŒæã‹ã‚Œã‚‹ã€‚\\ - ã—ã‹ã—,Cindyscriptã®å¾®åˆ†ãŒï¼Œå¾®åˆ†ã®å®šç¾©ã«ã‚ˆã‚‹æ•°å€¤è¨ˆç®—ã§ã‚ã‚‹ã®ã«å¯¾ã—,Maximaã§ã¯æ•°å¼å‡¦ç†ã¨ã—ã¦å¾®åˆ†ãŒã§ãる。\\ - ãã®æ„味ã®é•ã„ã¯ï¼Œæ¬¡ã®ã‚¹ã‚¯ãƒªãƒ—トã§ç¢ºã‹ã‚られる。 -\begin{verbatim} -  f(x):=sin(x); -  g(x):=d(f(#),x); -  println(g(x)); -\end{verbatim} - ã§ã¯ï¼Œã‚³ãƒ³ã‚½ãƒ¼ãƒ«ã«è¡¨ç¤ºã•ã‚Œã‚‹ã®ã¯æœªå®šç¾©å€¤ï¼ˆ\_ \_ \_) ã§ã‚る。\\ -一方, -\begin{verbatim} -  Mxfun("1", "diff",["sin(x)","x"]); -  println(mx1); -\end{verbatim} -ã§ã¯ï¼Œã‚³ãƒ³ã‚½ãƒ¼ãƒ«ã« \verb|cos(x)| ã¨è¡¨ç¤ºã•ã‚Œã‚‹ã€‚\\ -mx1ã¯æ–‡å­—列ã§ã‚ã‚‹ã®ã§ï¼Œ -\begin{verbatim} -  g(x):=parse(mx1); -\end{verbatim} -ã¨ã™ã‚Œã°ï¼Œg(x)を導関数ã¨ã™ã‚‹ã“ã¨ãŒã§ã,\verb|plot(g(#))| ã§ã‚°ãƒ©ãƒ•ã‚’æãã“ã¨ãŒã§ãる。\\ - ã¾ãŸï¼ŒCindyscriptã®å¾®åˆ†ã§ã¯ï¼Œï¼“階ã‹ï¼”階ã¾ã§ã®å°Žé–¢æ•°ãŒè¨ˆç®—上ã®é™åº¦ã§ã‚ã‚‹ã®ã«å¯¾ã—,Maximaãªã‚‰ä½•éšŽã§ã‚‚微分ãŒã§ãã‚‹ã®ã§ï¼Œãƒ†ã‚¤ãƒ©ãƒ¼å±•é–‹ãªã©ã§æœ‰åˆ©ã§ã‚る。\\ - \\ - \\ -例 $\sin x$ 㮠テイラー展開を行ã„,グラフを表示ã™ã‚‹ã€‚ -\begin{verbatim} -  Mxfun("1","taylor",["sin(x)","x",0,7],[""]); -  Plotdata("1","sin(x)","x",["da"]); -  Plotdata("2",mx1,"x"); -\end{verbatim} - \\ -    \input{Fig/taylor} - \\ -Mxtex() を用ã„ã¦ï¼ŒMxfun()ã®çµæžœã® mx1ã‚’TeX書å¼ã«ã—ã¦è¡¨ç¤ºã™ã‚‹ã“ã¨ã‚‚ã§ãる。\\ -  \verb|Expr([[1,2],"e",Mxtex("1",mx1)]);|\\ -を追加ã™ã‚Œã°[1,2]ã®ä½ç½®ã«å¼ãŒè¡¨ç¤ºã•ã‚Œã‚‹ã€‚\\ - \\ - \\ -{\bf 応用例:接線ã®æ–¹ç¨‹å¼ã‚’作る}\\ - \\ - $f(x)=\dfrac{e^x+e^{-x}}{2}$ ã®ï¼Œ$x=a$ã«ãŠã‘る接線ã®æ–¹ç¨‹å¼ã‚’作る。\\ - 関数å¼ã‚’文字列ã«ã—ã¦ãŠã,Assign() を用ã„ã¦å¤‰æ•°$x$ã‚’$a$ã«å¤‰ãˆã‚Œã°ï¼Œ$f(a)$ã®å¼ã‚’作るã“ã¨ãŒã§ãる。導関数ã«ã¤ã„ã¦ã‚‚åŒæ§˜ã«ã™ã‚‹ã€‚\\ -\begin{verbatim} -  fx="(exp(x)+exp(-x))/2"; -  gx=Mxfun("1","diff",[fx,"x"]); -  fa=Assign(fx,["x","a"]); -  ga=Assign(gx,["x","a"]); -  tf=ga+"*(x-a)+("+fa+")"; -  println(tf); -\end{verbatim} - コンソールã«ã¯ -\begin{verbatim} -  (%e^a-%e^-a)/2*(x-a)+((exp(a)+exp(-a))/2) -\end{verbatim} -ãŒè¡¨ç¤ºã•ã‚Œã‚‹ã€‚\\ - \\ - -\hypertarget{mxtex}{} -\item[関数] Mxtex(name,å¼) -\item[機能] å¼ã‚’TeX書å¼ã«ã™ã‚‹ -\item[説明] 第2引数ã®å¼ã¯ï¼Œç›´æŽ¥æ›¸ã„ãŸå¼ã‚‚ã—ãã¯Mxfunã®æˆ»ã‚Šå€¤ã€‚ã“れをTeXã®æ›¸å¼ã«ã™ã‚‹ã€‚\\ -戻り値ã¯ï¼Œå¤‰æ•° txname ã«ã‚‚代入ã•ã‚Œã‚‹ã€‚\\ - \\ -例:部分分数ã¸ã®åˆ†è§£ -\begin{spacing}{1.5} - 部分分数$\dfrac{x^3}{(x+1)(x+2)}$ã®åˆ†è§£ã‚’Maximaã§è¡Œã„,ãã®çµæžœã‚’TeX書å¼ã«ã—ã¦ç”»é¢ã«è¡¨ç¤ºã™ã‚‹ã€‚ç”»é¢ã«è¡¨ç¤ºã•ã‚ŒãŸçµæžœã¯ãã®ã¾ã¾KeTCindyã§å‡ºåŠ›ã§ãる。 -\end{spacing} - -\begin{verbatim} -  Mxfun("1","partfrac",["x^3/((x+1)*(x+2))","x"]); -  Mxtex("1",mx1); -  Expr([0,1],"e",tx1); -\end{verbatim} - ã“ã“ã§ï¼Œmx1,tx1ã¯ãã‚Œãžã‚ŒMxfun("1",・・) , Mxtex"1",・・) ã®çµæžœï¼ˆæˆ»ã‚Šå€¤ï¼‰ã§ã‚る。mx1,tx1 ã¯ã‚³ãƒ³ã‚½ãƒ¼ãƒ«ã«ã‚‚表示ã•ã‚Œï¼Œtx1ã¯æ¬¡ã®ã‚ˆã†ã«ãªã£ã¦ã„る。 -\begin{verbatim} -  \frac{8}{x+2}-\frac{1}{x+1}+x-3 -\end{verbatim} - Cindyscriptã¯TeX書å¼ã‚’サãƒãƒ¼ãƒˆã—ã¦ã„ã‚‹ã®ã§ã“ã‚Œã§æç”»é¢ã«åˆ†æ•°å¼ãŒè¡¨ç¤ºã•ã‚Œã‚‹ãŒï¼ŒTexã®æ–‡æ›¸ã§ã¯ï¼Œ\verb|\frac{}{}| ã§ã¯ãªã,\verb|\dfrac{}{}|を使ã†ã“ã¨ãŒå¤šã„。ãã“ã§ï¼ŒAssign()を用ã„ã¦ï¼Œ"frac" ã‚’ "dfrac" ã«å¤‰ãˆã‚Œã°ï¼Œãã®ã¾ã¾Tex文書ã§ä½¿ãˆã‚‹ã€‚ãŸã ã—,Cindyscript㯠\verb|\dfrac{}{}| をサãƒãƒ¼ãƒˆã—ã¦ã„ãªã„ã®ã§ï¼Œç”»é¢ä¸Šã§ã¯åˆ†æ•°è¡¨è¨˜ã«ãªã‚‰ãªã„。ãã®ã‚ãŸã‚Šã®äº‹æƒ…を次ã®ã‚¹ã‚¯ãƒªãƒ—トã§ç¤ºã™ã€‚ -\begin{verbatim} -  fx="x^3/((x+1)*(x+2))"; -  pfx=Mxfun("1","partfrac",[fx,"x"]); -  form=Mxtex("1",fx)+"="+Mxtex("2",pfx); -  dform=Assign(form,["frac","dfrac"]); -  Letter([0,5],"e","部分分数ã¸ã®åˆ†è§£ã€€$"+form+"$"); -  Letter([0,3],"e","部分分数ã¸ã®åˆ†è§£ã€€$"+dform+"$"); -\end{verbatim} -Cinderellaã®æç”»é¢ã§ã¯æ¬¡ã®ã‚ˆã†ã«è¡¨ç¤ºã•ã‚Œã‚‹ã€‚\\ - \\ -    \includegraphics[bb=0 0 694 232 , width=8cm]{Fig/mxtex01.png}\\ - \\ -出力ã—ãŸTeX挿入図ã§ã¯æ¬¡ã®ã‚ˆã†ã«ãªã‚‹ã€‚\\ - \\ -  \input{Fig/mxtex02}\\ - \\ -ãªãŠï¼Œæ–‡å­—列を置æ›ã™ã‚‹ã®ã«ï¼Œ\verb|Assign(form,["frac","dfrac"])| ã§ã¯ãªã,\\ -Cindyscriptã®æ–‡å­—列ã®é–¢æ•° replace を用ã„ã¦ï¼Œ\\ -   \verb|dform=replace(form,"frac","dfrac");| \\ -ã¨ã—ã¦ã‚‚よã„。\\ - \\ -例:2次関数ã®ã‚°ãƒ©ãƒ•ã‚’表示ã—,$x$軸ã¨ã®äº¤ç‚¹ã®$x$座標を表示ã™ã‚‹ã€‚ -\begin{verbatim} -  fx="x^2-x-3"; -  cmdL=[ -   "ans:solve",[fx,"x"], -   "ans",[] -  ]; -  CalcbyM("ans",cmdL); -  p1=indexof(ans,"["); -  p2=indexof(ans,","); -  p3=indexof(ans,"]"); -  s1=substring(ans,p1,p2-1); -  s2=substring(ans,p2,p3-1); -  s1=replace(s1,"x =",""); -  s2=replace(s2,"x =",""); -  Mxtex("1",s1); -  Mxtex("2",s2); -  Plotdata("1",fx,"x"); -  Expr([-2,-0.5],"e",tx1); -  Expr([2,-0.5],"e",tx2); -\end{verbatim} - \\ -       \input{Fig/mxtex03}\\ - \\ - ã“ã“ã§ï¼Œ\verb|CalcbyM("ans",cmdL);| ã§å¾—られるansã¯ï¼Œæ¬¡ã®ã‚ˆã†ãªæ–‡å­—列ã§ã‚る。\\ -    \verb|"[x = -(sqrt(13)-1)/2,x = (sqrt(13)+1)/2] "|\\ -ãã“ã§ï¼Œã“ã“ã‹ã‚‰ï¼’ã¤ã®å¼ã ã‘を抽出ã™ã‚‹ä½œæ¥­ã‚’è¡Œã£ãŸã®ã¡ï¼ŒMxtex() ã§TeXã®å¼ã‚’å¾—ã¦ã„る。\\ - ã•ã‚‰ã«å¿œç”¨ã¨ã—ã¦ï¼Œç‚¹Aã‚’Cinderellaã®ä½œå›³ãƒ„ールã§ä½œå›³ã—, -\begin{verbatim} -  if(A.y<0, -   fx="(x-"+text(A.x)+")^2"+guess(A.y), -   fx="(x-"+text(A.x)+")^2+"+guess(A.y); -  ); -\end{verbatim} -ã¨ã™ã‚‹ã¨ï¼Œç‚¹Aを頂点ã¨ã™ã‚‹æ”¾ç‰©ç·šã¨è»¸ã¨ã®äº¤ç‚¹ã®åº§æ¨™ãŒæã‹ã‚Œã‚‹ã€‚Maximaã¨ã®ãƒ‡ãƒ¼ã‚¿ã®ã‚„ã‚Šå–ã‚Šã‚’ã™ã‚‹ãŸã‚ã®ã‚¿ã‚¤ãƒ ãƒ©ã‚°ãŒã‚ã‚‹ãŒï¼Œã‚¤ãƒ³ã‚¿ãƒ©ã‚¯ãƒ†ã‚£ãƒ–ã«æ”¾ç‰©ç·šã®ä½ç½®ã‚’変ãˆã‚‹ã“ã¨ãŒã§ãる。\\ - \\ -<å‚考>\\ - 2次関数ã®ã‚ˆã†ãªç°¡å˜ãªé–¢æ•°ã§ã‚ã‚Œã°ï¼ŒCindyscriptã® roots() 関数を用ã„ã¦ï¼’次方程å¼ãŒè§£ã‘ã‚‹ã®ã§ï¼Œæ¬¡ã®ã‚¹ã‚¯ãƒªãƒ—トã§ã»ã¼åŒã˜å‹•ä½œã‚’ã™ã‚‹ã‚‚ã®ã‚’作るã“ã¨ãŒã§ãる。「ã»ã¼ã€ã¨ã„ã†ã®ã¯ç‚¹Aã®ä½ç½®ã«ã‚ˆã£ã¦ã¯ï¼Œguess()ã§è§£é‡ˆã—ãã‚Œãªã„ã“ã¨ãŒã‚ã‚‹ãŸã‚ã§ã‚る。Maximaを使ãˆã°æ•°å¼å‡¦ç†ã§è§£ã‚’求ã‚ã‚‹ã®ã§ï¼ŒAãŒã©ã“ã«ã‚ã£ã¦ã‚‚ãã‚Œã„ã«è¡¨ç¤ºã§ãる。 -\begin{verbatim} -  fx="x^2-2*A.x*x+A.x^2+A.y"; -  cf=[A.x^2+A.y,-2*A.x,1]; -  sol=roots(cf); -  s1=guess(sol_2); -  s2=guess(sol_1); -  Mxtex("1",s1); -  Mxtex("2",s2); -  Plotdata("1",fx,"x"); -  Expr([-2,-0.5],"e",tx1); -  Expr([2,-0.5],"e",tx2); -\end{verbatim} - -\end{description} - -\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} -\newpage - - -% Scilabã¨ã®é€£æºã€€================================== -\subsection{Scilabã¨ã®é€£æº} - KeTCindyã¯ï¼Œã‚‚ã¨ã‚‚㨠Scilab ã¨é€£æºã—ã¦ï¼ŒCinderellaã‹ã‚‰ã®å‡ºåŠ›ã‚’TeXã®ãƒ†ã‚­ã‚¹ãƒˆã¨ã™ã‚‹ã‚·ã‚¹ãƒ†ãƒ ã§ã‚る。ã—ã‹ã—,ãã‚Œã ã‘ã§ãªã,Maximaãªã©ã¨ã®é€£æºã¨åŒæ§˜ï¼ŒScilab ã®é–¢æ•°ã‚’実行ã—ã¦ï¼Œãƒ‡ãƒ¼ã‚¿ã‚’ã‚„ã‚Šã¨ã‚Šã™ã‚‹ã“ã¨ãŒã§ãる。\\ - KeTCindyã§ã¯ï¼Œkc.bat/shã«ã‚ˆã£ã¦ã‚³ãƒžãƒ³ãƒ‰ã‚’Scilabã«æ¸¡ã—,çµæžœã‚’テキストファイルã§å—ã‘å–る。ã“ã®ã¨ã,Scilabã¨ã®ã‚„ã‚Šã¨ã‚Šã§ï¼Œæ¬¡ã®ã‚ˆã†ãªãƒ•ã‚¡ã‚¤ãƒ«ãŒä½œæ¥­ãƒ‡ã‚£ãƒ¬ã‚¯ãƒˆãƒªã«ä½œæˆã•ã‚Œã‚‹ã€‚\\ -æ‹¡å¼µå­ sci :Scilab用ã®ãƒ•ã‚¡ã‚¤ãƒ«\\ -æ‹¡å¼µå­ txt:データファイル\\ -ã“ã®ãƒ‡ãƒ¼ã‚¿ã®ã‚„ã‚Šå–ã‚Šã«é–¢ã™ã‚‹æ¬¡ã®ã‚ªãƒ—ションãŒã‚る。\\ - オプションãªã—ã¾ãŸã¯ï¼Œâ€â€ ã®ã¨ã\\ -  i) データファイルãŒãªã‘ã‚Œã°ï¼Œæ–°ã—ã作る\\ -  ii) データファイルãŒæ—¢ã«ã‚ã‚Œã°ãれを読ã¿è¾¼ã‚€\\ - "m" ã®ã¨ã,強制的ã«ãƒ‡ãƒ¼ã‚¿ãƒ•ã‚¡ã‚¤ãƒ«ã‚’作り直ã™ã€‚\\ - "r" ã®ã¨ã,ã™ã§ã«ã‚るデータファイルを読ã¿è¾¼ã‚€ã€‚\\ - ã“ã®ã¨ã,ファイルã®èª­ã¿æ›¸ãã§ä¸å…·åˆãŒã‚ã‚‹ã¨ï¼Œæ•°ç§’ã®å¾Œã€Œ==$>$ file.txt not generated (5 s ) ã€ã®ã‚ˆã†ãªã‚¨ãƒ©ãƒ¼ãƒ¡ãƒƒã‚»ãƒ¼ã‚¸ãŒã‚³ãƒ³ã‚½ãƒ¼ãƒ«ã«è¡¨ç¤ºã•ã‚Œã‚‹ã€‚ã“ã®ã‚ˆã†ãªå ´åˆã¯ä½œæ¥­ãƒ‡ã‚£ãƒ¬ã‚¯ãƒˆãƒªã®è¨­å®šãªã©ã‚’確èªã—ã¦ã„ãŸã ããŸã„。ã“ã®å¾…ã¡æ™‚é–“ã«ã¤ã„ã¦ã¯ï¼ŒWaitオプションã§è¨­å®šã™ã‚‹ã“ã¨ã‚‚ã§ãる。\\ - -\begin{description} - -\hypertarget{calcbyS}{} -\item[関数] CalcbyS(name,コマンド,option) -\item[機能] Scilabã®ã‚³ãƒžãƒ³ãƒ‰ã‚¹ã‚¯ãƒªãƒ—トを実行ã™ã‚‹ -\item[説明] 第2引数ã¯Scilabã§å®Ÿè¡Œã™ã‚‹ã‚³ãƒžãƒ³ãƒ‰ã®ãƒªã‚¹ãƒˆã€‚\\ - \\ -\hypertarget{plotdataS}{} -\item[関数] PlotdataS(name,関数,変数) -\item[機能] Plotdataã¨åŒæ§˜ã®æ›¸å¼ã§ï¼ŒScilabã®é–¢æ•°ã‚’実行ã™ã‚‹ -\item[説明] Cindyscriptã®çµ„込関数ã«ãªã„関数ã®ã‚°ãƒ©ãƒ•ã‚’æãã“ã¨ãŒã§ãる。\\ - \\ -例:ベッセル関数ã®ã‚°ãƒ©ãƒ•ã‚’æã -\begin{verbatim} -  PlotdataS("1","besselj(1,x)","x"); -\end{verbatim} - -\end{description} -\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} -\newpage -% Risa/Asirã¨ã®é€£æºã€€================================== -\subsection{Risa/Asirã¨ã®é€£æº} - -\begin{description} - -\hypertarget{calcbyA}{} -\item[関数] CalcbyA(name,コマンド,option) -\item[機能] Risa/Asirã®ã‚¹ã‚¯ãƒªãƒ—トを実行ã™ã‚‹ -\item[説明] 第2引数ã¯Risa/Asirã§å®Ÿè¡Œã™ã‚‹ã‚³ãƒžãƒ³ãƒ‰ã€‚\\ - コマンドã¨å¼•æ•°ãƒªã‚¹ãƒˆã®ç¹°ã‚Šè¿”ã—ã‹ã‚‰ãªã‚‹ãƒªã‚¹ãƒˆï¼ˆä¾‹ãˆã°cmdL)を作ã£ã¦ï¼Œä¸€åº¦ã«å®Ÿè¡Œã™ã‚‹ã€‚\\ - 戻り値ã¯ãªã„。(未定義値) çµæžœã¯ï¼Œã‚³ãƒžãƒ³ãƒ‰ãƒªã‚¹ãƒˆã®æœ€å¾Œã«è¨˜è¿°ã—ãŸå¤‰æ•°ï¼ˆå¼•æ•°ã¯ç©ºãƒªã‚¹ãƒˆï¼‰ã®å€¤ãŒname ã§æŒ‡å®šã•ã‚ŒãŸå¤‰æ•°ã«ä»£å…¥ã•ã‚Œã‚‹ã€‚複数ã®çµæžœã‚’戻ã™ã¨ãã¯ï¼Œ:: ã§åŒºåˆ‡ã£ã¦è¨˜è¿°ã™ã‚‹ã¨ãƒªã‚¹ãƒˆã«ã—ã¦ä»£å…¥ã•ã‚Œã‚‹ã€‚\\ - -\hypertarget{asirfun}{} -\item[関数] Asirfun(name,å¼ï¼Œãƒªã‚¹ãƒˆï¼Œoption) -\item[機能] Risa/Asirã®é–¢æ•°ã‚’実行ã™ã‚‹ -\item[説明] 第2引数ã®ã€Œå¼ã€ã¯Risa/Asirã®é–¢æ•°å。第3引数ã®ãƒªã‚¹ãƒˆã¯é–¢æ•°ã«æ¸¡ã™å¼•æ•°ã®ãƒªã‚¹ãƒˆã€‚\\ - 戻り値ã¯ï¼Œç¬¬ï¼‘引数ã®å¼ã«ï¼‘ã¤ã§ã‚‚文字ãŒã‚ã‚‹ã¨æ–‡å­—列ã¨ãªã‚‹ã€‚ã™ã¹ã¦æ•°å­—(+,-, . ã‚’å«ã‚€ï¼‰ã®å ´åˆã¯ -16æ¡ä»¥ä¸‹ã§ã‚ã‚Œã°æ•°ï¼Œãれ以上ã®å ´åˆã¯æ–‡å­—列ã¨ãªã‚‹ã€‚ã¾ãŸï¼Œæˆ»ã‚Šå€¤ã¯ï¼Œå¤‰æ•° asname ã«ã‚‚代入ã•ã‚Œã‚‹ã€‚\\ -オプション㫠"Disp=no" ã‚’ã¤ã‘ã‚‹ã¨ï¼Œçµæžœã‚’コンソールã«è¡¨ç¤ºã—ãªã„。\\ - -\end{description} -\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} -\newpage -% FriCASã¨ã®é€£æºã€€================================== -\subsection{FriCAS(Axiom)ã¨ã®é€£æº} - -\begin{description} - -\hypertarget{calcbyF}{} -\item[関数] CalcbyF(name,コマンド,option) -\item[機能] FriCASã®ã‚¹ã‚¯ãƒªãƒ—トを実行ã™ã‚‹ -\item[説明] 第2引数ã¯FriCASã§å®Ÿè¡Œã™ã‚‹ã‚³ãƒžãƒ³ãƒ‰ã€‚\\ - コマンドã¨å¼•æ•°ãƒªã‚¹ãƒˆã®ç¹°ã‚Šè¿”ã—ã‹ã‚‰ãªã‚‹ãƒªã‚¹ãƒˆï¼ˆä¾‹ãˆã°cmdL)を作ã£ã¦ï¼Œä¸€åº¦ã«å®Ÿè¡Œã™ã‚‹ã€‚\\ - 戻り値ã¯ãªã„。(未定義値) çµæžœã¯ï¼Œã‚³ãƒžãƒ³ãƒ‰ãƒªã‚¹ãƒˆã®æœ€å¾Œã«è¨˜è¿°ã—ãŸå¤‰æ•°ï¼ˆå¼•æ•°ã¯ç©ºãƒªã‚¹ãƒˆï¼‰ã®å€¤ãŒname ã§æŒ‡å®šã•ã‚ŒãŸå¤‰æ•°ã«ä»£å…¥ã•ã‚Œã‚‹ã€‚複数ã®çµæžœã‚’戻ã™ã¨ãã¯ï¼Œ:: ã§åŒºåˆ‡ã£ã¦è¨˜è¿°ã™ã‚‹ã¨ãƒªã‚¹ãƒˆã«ã—ã¦ä»£å…¥ã•ã‚Œã‚‹ã€‚\\ - -\hypertarget{frfun}{} -\item[関数] Frfun(name,å¼ï¼Œãƒªã‚¹ãƒˆï¼Œoption) -\item[機能] FriCASã®é–¢æ•°ã‚’実行ã™ã‚‹ -\item[説明] 第2引数ã®ã€Œå¼ã€ã¯FriCASã®é–¢æ•°å。第3引数ã®ãƒªã‚¹ãƒˆã¯é–¢æ•°ã«æ¸¡ã™å¼•æ•°ã®ãƒªã‚¹ãƒˆã€‚\\ - 戻り値ã¯ï¼Œç¬¬ï¼‘引数ã®å¼ã«ï¼‘ã¤ã§ã‚‚文字ãŒã‚ã‚‹ã¨æ–‡å­—列ã¨ãªã‚‹ã€‚ã™ã¹ã¦æ•°å­—(+,-, . ã‚’å«ã‚€ï¼‰ã®å ´åˆã¯ -16æ¡ä»¥ä¸‹ã§ã‚ã‚Œã°æ•°ï¼Œãれ以上ã®å ´åˆã¯æ–‡å­—列ã¨ãªã‚‹ã€‚ã¾ãŸï¼Œæˆ»ã‚Šå€¤ã¯ï¼Œå¤‰æ•° friname ã«ã‚‚代入ã•ã‚Œã‚‹ã€‚\\ -オプション㫠"Disp=no" ã‚’ã¤ã‘ã‚‹ã¨ï¼Œçµæžœã‚’コンソールã«è¡¨ç¤ºã—ãªã„。\\ - -\end{description} -\begin{flushright} \hyperlink{functionlist}{$\Rightarrow$関数一覧}\end{flushright} - -\newpage -% 表計算ソフトã¨ã®é€£æºã€€================================== -\subsection{表計算ソフトã¨ã®é€£æº} - 表計算ソフトã§ã¯ï¼Œè¤‡æ•°ã®ã‚»ãƒ«ã‚’é¸æŠžã—ã¦ã‚³ãƒ”ー(Windowsã§ã¯ Crtl+ C ,Macã§ã¯ Command+C)ã™ã‚‹ã¨ï¼Œã‚»ãƒ«ã®å†…容ã¯tab区切りã®ãƒ†ã‚­ã‚¹ãƒˆãƒ‡ãƒ¼ã‚¿ã¨ã—ã¦ã‚¯ãƒªãƒƒãƒ—ボードã«ã‚³ãƒ”ーã•ã‚Œã‚‹ã€‚ã“れをCindyscriptエディタã«ãƒšãƒ¼ã‚¹ãƒˆã™ã‚‹ã“ã¨ã§è¡¨è¨ˆç®—ソフトã®ãƒ‡ãƒ¼ã‚¿ã‚’KeTCindyã§åˆ©ç”¨ã§ãる。逆ã«ï¼ŒCindyscriptã®ã‚³ãƒ³ã‚½ãƒ¼ãƒ«ã¸ã®å‡ºåŠ›ã‚’表計算ソフトã®ã‚·ãƒ¼ãƒˆã«ã‚³ãƒ”ーã™ã‚‹ã“ã¨ã‚‚ã§ãる。 - -\begin{description} -\hypertarget{tab2list}{} -\item[関数] Tab2list(str,option) -\item[機能] str ã®å†…容をリストã«å¤‰æ›ã™ã‚‹ -\item[説明] tab区切りã«ãªã£ã¦ã„る文字列 str をリストã«å¤‰æ›ã™ã‚‹ã€‚\\ - optionã¯ï¼ŒNULLã®ã‚»ãƒ«ã®ç½®ãæ›ãˆã€‚リストã§è¡¨ã™ã€‚デフォルトã¯[0]。\\ -次ã®ã‚ˆã†ãªæ‰‹é †ã§è¡¨è¨ˆç®—ソフトã‹ã‚‰ãƒ‡ãƒ¼ã‚¿ã‚’KeTCindyã«å†™ã™ã“ã¨ãŒã§ãる。\\ - \\ -(1) 表計算ソフトã§ï¼Œé©å½“ãªç¯„囲を指定ã—クリップボードã«ã‚³ãƒ”ーã™ã‚‹ã€‚\\ - Windowsãªã‚‰ Ctrl+C,Macãªã‚‰ Command+C\\ - \\ -\includegraphics[bb=0 0 742 308 , width=8cm]{Fig/tab2list01.png}\\ - \\ -(2) Cindyscriptエディタã§ï¼Œé©å½“ãªæ–‡å­—変数を用æ„ã™ã‚‹ã€‚\\ - ãŸã¨ãˆã°ï¼Œdata="";\\ - \\ -\includegraphics[bb=0 0 858 298 , width=10cm]{Fig/tab2list02.png}\\ - \\ -(3) ã“ã“ã«ãƒšãƒ¼ã‚¹ãƒˆã™ã‚‹ã¨ï¼Œæ–‡å­—列ã«ã‚³ãƒ”ーã•ã‚Œã‚‹ã€‚\\ - もã—,å³ã®ã‚ˆã†ã«ãªã£ãŸã‚‰ï¼ˆè¡¨è¨ˆç®—ソフトã«ã‚ˆã‚Šã¾ã™ï¼‰å·¦ã®ã‚ˆã†ã«ï¼Œæœ€å¾Œã® "" ã®å‰ã§æ”¹è¡Œã—ã¦ãŠã。\\ - \\ -\includegraphics[bb=0 0 748 276 , width=6cm]{Fig/tab2list001.png} \includegraphics[bb=0 0 738 236 , width=6cm]{Fig/tab2list00.png}\\ - - \\ -(4) ã“ã®æ–‡å­—変数 data ã«å¯¾ã—,Tab2list(data) を実行ã™ã‚‹ã¨ï¼Œè¡Œåˆ—を表ã™ãƒªã‚¹ãƒˆãŒè¿”ã•ã‚Œã‚‹ã€‚\\ - ã“れをé©å½“ãªå¤‰æ•°ã«ä»£å…¥ã—,作表コマンドã§è¡¨ã«ã™ã‚‹ãªã©ï¼Œç›®çš„ã«å¿œã˜ã¦åˆ©ç”¨ã™ã‚‹ã€‚\\ - 数値ã ã‘ãªã‚‰è¡Œåˆ—ã¨ã—ã¦è¨ˆç®—ã‚‚ã§ãる。\\ - \\ -\includegraphics[bb=0 0 1245 457 , width=10cm]{Fig/tab2list03.png} - -\hypertarget{dispmat}{} -\item[関数] Dispmat(list) -\item[機能] リストを行列ã®å½¢ã§tab区切りã«ã—ã¦ã‚³ãƒ³ã‚½ãƒ¼ãƒ«ã«è¡¨ç¤ºã™ã‚‹ã€‚ -\item[説明] 行列を表ã™ãƒªã‚¹ãƒˆ (ãŸã¨ãˆã° dlist) を引数ã¨ã—ã¦Dispmat(dlist) を実行ã™ã‚‹ã¨ï¼Œã‚³ãƒ³ã‚½ãƒ¼ãƒ«ã«è¡Œåˆ—åž‹ã§å†…容ãŒè¡¨ç¤ºã•ã‚Œã‚‹ã€‚\\ - 実際ã«ã¯TAB区切りã®æ–‡å­—列。(println ã¨ã—ãªãã¦ã‚‚直接コンソールã«è¡¨ç¤ºã•ã‚Œã‚‹ï¼‰\\ - ã“れを表計算ソフトã®ã‚·ãƒ¼ãƒˆã«ã‚³ãƒ”ーã™ã‚‹ã€‚\\ - \\ -\includegraphics[bb=0 0 855 395 , width=8cm]{Fig/tab2list04.png}\ - -\end{description} -\newpage -% MeshLabã¨ã®é€£æºã€€================================== -%\subsection{MeshLabã¨ã®é€£æº} - -% アニメーション ================================== -\section{アニメーションPDF:KeTCindymv} -\subsection{概è¦} -アニメーションã®ã§ãã‚‹PDFを作る。 - -Cinderellaã®ä½œå›³æ©Ÿèƒ½ã¨Cindyscriptを用ã„ã¦ã‚¢ãƒ‹ãƒ¡ãƒ¼ã‚·ãƒ§ãƒ³ãŒã§ãã‚‹ãŒï¼ŒPDFã«ã™ã‚‹ã“ã¨ã§CinderellaãŒãªãã¦ã‚‚PDFビュアーãŒã‚ã‚Œã°ã‚¢ãƒ‹ãƒ¡ãƒ¼ã‚·ãƒ§ãƒ³ã‚’実行ã§ãã‚‹ã®ã§ï¼Œãƒ—レゼンテーションや教æã®å—ã‘渡ã—ãªã©ã«ä¾¿åˆ©ã§ã‚る。 - -KeTCindymvã®ç”»é¢ã¯æ¬¡ã®ã‚ˆã†ã«ãªã£ã¦ã„る。(templatemv.cdy)\\ - \\ -  \includegraphics[bb=0 0 1594 710 , width=12cm]{Figmv/mvgaiyou01.png} - -ç”»é¢ä¸Šæ–¹ã®ãƒœã‚¿ãƒ³ã«ã¯ï¼Œæ¬¡ã®ã‚ˆã†ãªã‚¹ã‚¯ãƒªãƒ—トãŒå‰²ã‚Šå½“ã¦ã‚‰ã‚Œã¦ã„ã‚‹ã®ã§ï¼Œãƒœã‚¿ãƒ³ã‚’自作ã™ã‚‹ã“ã¨ã‚‚ã§ãる。 - -\begin{tabbing} - 12345678978\=1234567897890123\=\kill - Texview \>: Viewtex(); \>ç¾åœ¨ã®ç”»é¢ã®PDFデータを作る\\ - TexMv  \>: Texmovie(); \>アニメーションPDFデータを作る\\ - Texpara \>: Texpara(); \>フレームã«åˆ†å‰²ã—ãŸPDFデータを作る\\ - Exekc  \>: kc(); \>ãƒãƒƒãƒãƒ•ã‚¡ã‚¤ãƒ«ã‚’実行ã™ã‚‹ -\end{tabbing} - -アニメーションã®ä½œæˆã¯ï¼Œãƒ•ãƒ¬ãƒ¼ãƒ ã‚’定義ã™ã‚‹é–¢æ•°ã‚’作æˆã—,Moviedata() 関数を実行ã™ã‚‹ã€‚実行後,TexMv,Exekc ã®ãƒœã‚¿ãƒ³ã‚’é †ã«æŠ¼ã™ã“ã¨ã§ï¼ŒFhead+"moviefigs.tex" 㨠Fhead+"moviemain.tex",Fhead+"moviemain.pdf" ãŒç”Ÿæˆã•ã‚Œã¦è¡¨ç¤ºã•ã‚Œã‚‹ã€‚ãŸã¨ãˆã°ï¼ŒFhead ㌠"abc" ã®å ´åˆï¼ŒTeX ã®æ–‡æ›¸ã«ã¯\\ -     \verb|\input{abcmoviefigs.tex}|\\ -ã§å‹•ç”»ã‚’挿入ã™ã‚‹ã“ã¨ãŒã§ãる。 - -ãŸã ã—,動画ã®ã§ãã‚‹PDFを作æˆã™ã‚‹ã«ã¯ï¼Œãƒ‰ã‚­ãƒ¥ãƒ¡ãƒ³ãƒˆã‚¯ãƒ©ã‚¹ã¨ä½¿ç”¨ãƒ‘ッケージã«ã¤ã„ã¦æ³¨æ„ãŒå¿…è¦ã§ã‚る。 - -ドキュメントクラスã¯ï¼Œarticle ã¾ãŸã¯ jarticle ã¨ã™ã‚‹ã€‚jsarticle ã¯ä½¿ãˆãªã„。 - -パッケージ㯠animate ã« dvipdfmx オプションをã¤ã‘る。\\ -      \verb|\usepackage[dvipdfmx]{animate}| - -ã¾ãŸï¼Œã‚¢ãƒ‹ãƒ¡ãƒ¼ã‚·ãƒ§ãƒ³PDFã§ã‚¢ãƒ‹ãƒ¡ãƒ¼ã‚·ãƒ§ãƒ³ã‚’è¡Œã†ã«ã¯Adobe Acrobat Reader ãªã©ï¼Œã‚¢ãƒ‹ãƒ¡ãƒ¼ã‚·ãƒ§ãƒ³ã«å¯¾å¿œã—ãŸPDFリーダーãŒå¿…è¦ã§ã‚る。Windowsã®SumatraPDF,Mac㮠プレビューã§ã¯å‹•ã‹ãªã„。\\ - -次ã«ï¼ŒTexpara,Exekc ã®ãƒœã‚¿ãƒ³ã‚’é †ã«æŠ¼ã™ã“ã¨ã§ï¼Œãƒ•ãƒ¬ãƒ¼ãƒ ã«åˆ†å‰²ã—㟠Fhead+"parafigs.tex" 㨠Fhead+"paramain.tex" ,Fhead+"paramain.pdf" ãŒç”Ÿæˆã•ã‚Œã¦è¡¨ç¤ºã•ã‚Œã‚‹ã€‚ã“ã®å›³ã‚’利用ã™ã‚‹ã«ã¯ãƒ‘ッケージã®æŒ‡å®šãŒã‚„ã‚„é¢å€’ã§ã‚る。 Fhead+"mvparamain.tex" ã‚’å‚ç…§ã•ã‚ŒãŸã„。 \\ - -ç”»é¢ä¸‹æ–¹ã®ã‚¹ãƒ©ã‚¤ãƒ€ã«ã‚ˆã‚Šã‚¢ãƒ‹ãƒ¡ãƒ¼ã‚·ãƒ§ãƒ³ã®é€”中図をæãã“ã¨ãŒã§ãる。Texview 㨠Exekc ボタンã«ã‚ˆã‚Šãã®å›³ã®ãƒ•ã‚¡ã‚¤ãƒ«ãŒä½œæˆã•ã‚Œã‚‹ã€‚ - - -\subsection{設定} -KeTCindymvã§ã¯ï¼ŒKeTCindyã¨è‹¥å¹²ç•°ãªã‚‹è¨­å®šãŒå¿…è¦ã§ã‚る。 - -ã¾ãšï¼ŒInitialization スロットã§ã¯ï¼ŒKeTCindy ã§\\ -  \verb|Shellfile="";|\\ -ã«ãªã£ã¦ã„ã‚‹ã®ã‚’\\ -  \verb| Shellfile="mv";|\\ -ã¨ã™ã‚‹ã€‚ - -次ã«ï¼ŒDraw スロットã§ã¯ï¼Œæ¬¡ã®ã‚ˆã†ã« \verb|Ketinit();| ã«åŠ ãˆï¼Œ\verb|Ketinitmv();| ãŒå¿…è¦ã§ã‚る。ã¾ãŸï¼Œç”»é¢è¡¨ç¤ºã®ãŸã‚ã«ï¼Œ\verb|Windispg();| ã®ã‹ã‚ã‚Šã« \verb|Mvdispg();| を用ã„る。 -\begin{verbatim} - Fhead="templatemv"; - Texparent=""; - Ketinit(); - Ketinitmv(); - -  ã“ã“ã«ã‚¹ã‚¯ãƒªãƒ—トを書ã - - Mvdispg(); -\end{verbatim} -ãªãŠï¼Œã²ãªãŒãŸã® templatemv.cdy ã§ã¯ã“ã®è¨­å®šãŒã™ã§ã«ã—ã¦ã‚る。 - -\newpage -\subsection{æç”»} -\begin{description} - -\hypertarget{moviedata}{} -\item[関数] Moviedata(str1,str2,options) -\item[機能] アニメーションデータを作る -\item[説明] str1 ã¯ã‚¢ãƒ‹ãƒ¡ãƒ¼ã‚·ãƒ§ãƒ³ã‚’定義ã™ã‚‹é–¢æ•°åを文字列ã¨ã™ã‚‹ã€‚str2 ã¯å®šç¾©åŸŸã€‚\\ - optionsã¯ï¼ŒCut 㨠Div \\ - Cut : 1秒ã®ãƒ•ãƒ¬ãƒ¼ãƒ æ•°ã€‚åˆæœŸå€¤ã¯20。\\ - Civ : 全体ã®ãƒ•ãƒ¬ãƒ¼ãƒ æ•°ã€‚åˆæœŸå€¤ã¯80。\\ - ã—ãŸãŒã£ã¦ï¼ŒåˆæœŸå€¤ã§ã¯4秒間ã®ã‚¢ãƒ‹ãƒ¡ãƒ¼ã‚·ãƒ§ãƒ³ã¨ãªã‚‹ã€‚\\ - \\ -ã€ä¾‹ã€‘定円上を動ã点Pã¨ï¼Œå®šç‚¹Aã‚’çµã¶ç·šåˆ†ã®ä¸­ç‚¹ã‚’Qã¨ã—ã¦å‹•ãを見る。\\ -ã¾ãšï¼Œå®šå††ã‚’,原点中心ã€åŠå¾„ï¼’ã¨ã—ã¦æã„ã¦ãŠã。\\ -アニメーションを定義ã™ã‚‹é–¢æ•°ã¯ï¼Œæ™‚é–“ã‚’ $t$ ã¨ã™ã‚Œã°ï¼Œæ™‚刻 $t$ ã«ãŠã‘る図(動ãã‚‚ã®ã ã‘)を定義ã™ã‚‹ã€‚時刻ã¯å˜ãªã‚‹åª’介変数ã§ã‚ã‚‹ã®ã§ï¼Œ$t$ ã§ãªã $s$ ãªã©ã§ã‚‚よã„。 -\begin{verbatim} - Mf(t):=( -  pt=2*[cos(t),sin(t)]; -  Listplot("2",[[4,0],pt]); -  Pointdata("2",mid(pt,[4,0])); -  Letter([[4,0],"s","A",pt,"en","P",mid(pt,[4,0]),"ne","Q"]); - ); -\end{verbatim} -ã“ã“ã§ï¼Œ\verb|Mf(t)| ã®ä¸­ã§ä½¿ã£ã¦ã„るユーザー定義関数\verb|mid()| ã¯ï¼Œç«¯ç‚¹ã‚’引数ã¨ã—ã¦ç·šåˆ†ã®ä¸­ç‚¹ã‚’è¿”ã™ã‚‚ã®ã§ï¼Œ\\ -  \verb|mid(p1,p2):=(p1+p2)/2;|\\ -ã¨ã—ã¦å®šç¾©ã—ã¦ãŠã。\\ -ã¾ãŸï¼Œç‚¹ã®å¤§ãã•ã‚’é©å®œè¨­å®šã—ã¦ãŠã。\\ -以上ã®æº–å‚™ã®å¾Œï¼Œ\\ -  \verb|Moviedata("Mf(t)","t=[0,2*pi]");|\\ -を実行ã™ã‚‹ã€‚\\ -ã“ã“ã§ã¯ï¼Œè§’度を媒介変数ã¨ã—ã¦ã„ã‚‹ã®ã§ï¼Œæ™‚é–“ã®$t$ ã§ãªã$s$ ã¨ã—ã¦\\ -  \verb|Moviedata("Mf(s)","s=[0,2*pi]");|\\ -ã¨ã—ã¦ã‚‚よã„。\\ -次ã®ã‚ˆã†ã«ã‚ªãƒ—ションを指定ã™ã‚‹ã¨ï¼Œ5秒間ã®ã‚¢ãƒ‹ãƒ¡ãƒ¼ã‚·ãƒ§ãƒ³ã¨ãªã‚‹ã€‚\\ -  \verb|Moviedata("Mf(s)","s=[0,2*pi]",["Div=50","Cut=10"]);|\\ -\verb|["Div=150","Cut=30"]|ã¨ã™ã‚‹ã¨ï¼Œã‚„ã¯ã‚Š5秒間ã®ã‚¢ãƒ‹ãƒ¡ãƒ¼ã‚·ãƒ§ãƒ³ã¨ãªã‚‹ãŒï¼Œ1秒間ã®ãƒ•ãƒ¬ãƒ¼ãƒ æ•°ãŒå¤šã„ãŸã‚ãªã‚らã‹ãªå‹•ãã¨ãªã‚‹ã€‚ビデオã®ãƒ•ãƒ¬ãƒ¼ãƒ ãƒ¬ãƒ¼ãƒˆã§ã‚る。ãŸã ã—,ファイルサイズã¯ç´„3å€ã¨ãªã‚‹ã€‚\\ -Cinderellaã®ç”»é¢ã¯æ¬¡ã®ã‚ˆã†ã«ãªã‚‹ã€‚\\ - \\ -  \includegraphics[bb=0 0 1054 706 , width=8cm]{Figmv/moviedata01.png}\\ - \\ -TexMvボタン ã¾ãŸã¯ TexParaボタンを押ã™ã¨ç”»é¢ä¸Šã§ã‚‚アニメーションãŒå®Ÿè¡Œã•ã‚Œã‚‹ã€‚ãã®å¾Œ Exekc ボタンを押ã™ã¨ãƒ•ã‚¡ã‚¤ãƒ«ãŒä½œæˆã•ã‚Œã‚‹ã€‚ - -ã“ã®å›³ã§ã¯ï¼Œç‚¹ãŒæ˜Žç¤ºã•ã‚Œã‚‹ã®ã¯ Q ã ã‘ã§ã‚る。A,Pã¨ã‚‚点を明示ã™ã‚‹å ´åˆã®ã‚¹ã‚¯ãƒªãƒ—トã®å…¨ä½“を示ã—ã¦ãŠã。 -\begin{verbatim} - Fhead="mid"; - Texparent=""; - Ketinit(); - Ketinitmv(); - mid(p1,p2):=(p1+p2)/2; - Circledata("1",[[0,0],[2,0]]); - Ptsize(4); - Pointdata("1",[4,0]); - Mf(t):=( -  pt=2*[cos(t),sin(t)]; -  Listplot("2",[[4,0],pt]); -  Pointdata("2",pt); -  Pointdata("3",mid(pt,[4,0])); -  Letter([[4,0],"s","A",pt,"en","P",mid(pt,[4,0]),"ne","Q"]); - ); - Moviedata("Mf(s)","s=[0,2*pi]",["Div=30","Cut=10"]); - Mvdispg(); -\end{verbatim} -\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} - -\end{description} - -\newpage - - -%== 3D =============== -\section{\ketcindy 3D} -\subsection{概è¦} -\ketcindy 3Dã®ç”»é¢ã¯æ¬¡ã®ã‚ˆã†ã«æ§‹æˆã•ã‚Œã‚‹ã€‚ - -Cinderellaã®æç”»é¢ã«ï¼Œç™½ã®çŸ©å½¢ã§å›²ã‚“ã é ˜åŸŸãŒï¼’ã¤ã§ãる。NE,SWを対角ã¨ã™ã‚‹å·¦å´ã®é ˜åŸŸã‚’主画é¢ï¼Œå³å´ã®é ˜åŸŸã‚’副画é¢ã¨ã„ã†ã€‚\\ - -      \includegraphics[bb=0 0 1776 998 , width=8cm]{Fig3d/3dstart.png}\\ - -主画é¢ã¯å¹³é¢ã®å ´åˆã¨åŒæ§˜ï¼ŒTeXã«å‡ºåŠ›ã•ã‚Œã‚‹ç¯„囲を示ã—,NE,SWã®ï¼’点をドラッグã™ã‚‹ã“ã¨ã«ã‚ˆã‚Šå¤‰æ›´ã§ãる。 - -副画é¢ã¯ï¼ŒStart3d() 関数ã«ã‚ˆã‚Šä½œæˆã•ã‚Œã‚‹ã€‚座標軸ã¯ï¼ŒXyzax3data() 関数ã«ã‚ˆã£ã¦æãã“ã¨ãŒã§ãる。主画é¢ã®ä¸‹æ–¹ã®ã‚¹ãƒ©ã‚¤ãƒ€ã§è¦–点ãŒç§»å‹•ã§ã,主画é¢ä¸Šã§ã¯è»¸ãŒå›žè»¢ã™ã‚‹ã€‚副画é¢ã¯ï¼Œxyå¹³é¢ä¸Šã«è¦–点を置ã„ãŸã‚‚ã®ã¨è€ƒãˆã‚Œã°ã‚ˆã„。 - -主画é¢ä¸Šã«Cinderellaã®ä½œå›³ãƒ„ールã§ç‚¹ã‚„線分を作図ã™ã‚‹ã¨ï¼ŒStart3d() 関数ã«ã‚ˆã‚Šå‰¯ç”»é¢ã«å¯¾å¿œã™ã‚‹ç‚¹ãŒä½œå›³ã•ã‚Œã‚‹ã€‚主画é¢ä¸Šã®ç‚¹ã‚’ドラッグã™ã‚‹ã¨x,y座標を変更ã§ã,副画é¢ä¸Šã®ç‚¹ã‚’ドラッグã™ã‚‹ã¨z座標を変更ã§ãる。空間内ã®ç‚¹ã¯ï¼ŒPutpoint3d()関数ã«ã‚ˆã£ã¦åº§æ¨™ã‚’指定ã—ã¦ä½œæˆã™ã‚‹ã“ã¨ã‚‚ã§ãる。次ã®ã‚ˆã†ãªå›³ã¯Cinderellaã®ä½œå›³ãƒ„ールã ã‘ã§ã‚‚作るã“ã¨ãŒã§ãã‚‹ã—,Putpoint3d()関数を用ã„ã¦ã‚‚作るã“ã¨ãŒã§ãる。\\ - -  \includegraphics[bb=0 0 1892 840 , width=10cm]{Fig3d/3dscreen.png}\\ - -主画é¢ã¨å‰¯ç”»é¢ã®å¯¾å¿œã™ã‚‹ç‚¹ã‚’ドラッグã™ã‚‹ã“ã¨ã«ã‚ˆã‚Šï¼Œã‚¤ãƒ³ã‚¿ãƒ©ã‚¯ãƒ†ã‚£ãƒ–ã«å›³å½¢ã‚’æãã“ã¨ãŒã§ãã‚‹ãŒã€å®Ÿéš›ã«ã¯æ画関数を用ã„ã¦å›³å½¢ã‚’æã,スライダã§è¦–点を変ãˆã¦è¦‹ã‚„ã™ã„図をTeXã«å‡ºåŠ›ã™ã‚‹ã“ã¨ã«ãªã‚‹ã ã‚ã†ã€‚ - -KeTCindy3Dã§ã¯ï¼Œç‚¹ãƒ»ç›´ç·šãƒ»æ›²ç·šãƒ»é¢ã®æ画をæ画関数を用ã„ã¦è¡Œã†ã“ã¨ãŒã§ãる。線やé¢ã«ã¤ã„ã¦ã¯é™°ç·šå‡¦ç†ã‚’è¡Œã„,立体的ãªå›³ã‚’作æˆã™ã‚‹ã“ã¨ãŒã§ãる。ã—ã‹ã—,陰線処ç†ã¯å‡¦ç†ã«ã‹ãªã‚Šã®æ™‚é–“ãŒã‹ã‹ã‚‹ã®ã§ï¼ŒCindyscriptã§ã¯ãªãScilabã§è¡Œã£ã¦ã„ã‚‹ãŒï¼Œãã‚Œã§ã‚‚相当時間ãŒã‹ã‹ã‚‹ã“ã¨ã‚’覚悟ã—ãªã‘ã‚Œã°ãªã‚‰ãªã„。Scilabã§ã®è¨ˆç®—ã¯ï¼Œãƒãƒƒãƒãƒ•ã‚¡ã‚¤ãƒ«/シェルファイルã§è¡Œã£ã¦ã„ã‚‹ãŒï¼ŒCindyscriptã§ã¯ãã®è¨ˆç®—çµæžœãŒå‡ºã‚‹ã®ã‚’å¾…ã¤ãŸã‚一時的ã«åå¿œãŒãªããªã‚‹ã€‚ã—ãŸãŒã£ã¦ï¼Œåå¿œãŒãªããªã£ã¦ã‚‚ãƒãƒ³ã‚°ã‚¢ãƒƒãƒ—ã§ã¯ãªã„ã®ã§ï¼ŒCinderellaを強制終了ã—ãªã„よã†ã«ã€‚ - -一例を示ã™ã¨ï¼Œçƒé¢ã‚’メッシュ入りã§åº§æ¨™è»¸ã¨ã¨ã‚‚ã«é™°ç·šå‡¦ç†ã—ã¦æã„ãŸå ´åˆï¼Œæ¬¡ã®ã‚ˆã†ãªå›³ãŒç”»é¢ã«è¡¨ç¤ºã•ã‚Œã‚‹ã¾ã§ã®æ™‚é–“ã¯ï¼ŒMacBookPro13' (Late 2013) Core i7 2.8GHz 8GB (OSX 10.11.6) ã®å ´åˆã§ç´„124秒ã§ã‚ã£ãŸã€‚スクリプト㯠\hyperlink{wireparadata}{Wireparadata() } ã®ä¾‹ã‚’å‚ç…§ã•ã‚ŒãŸã„。\\ -            \input{Fig3d/wirepara4}  - -\newpage -\subsection{設定・定義} - -\begin{description} - -\hypertarget{ketinit3d}{} -\item[関数] Ketinit3d() -\item[機能] KeTCindy3Dã®ä½¿ç”¨å®£è¨€ -\item[説明] Cinderellaã®ç”»é¢ã‚’3Dモードã«ã™ã‚‹ã€‚\\ - Cinderellaã®æç”»é¢ã«ï¼Œè¦–点移動ã®ãŸã‚ã®ï¼’ã¤ã®ã‚¹ãƒ©ã‚¤ãƒ€ã‚’作る。スライダã¯åˆæœŸä½ç½®ãŒå·¦ç«¯ã«ãªã‚‹ã€‚\\ - KeTCindyã®ä½¿ç”¨å®£è¨€ Ketinit() ã¨ã¨ã‚‚ã«ç”¨ã„ã‚‹ãŒï¼Œã“ã®é–¢æ•°ã¯ä¸€åº¦ã ã‘実行ã™ã‚Œã°ã‚ˆã„ã®ã§ï¼Œé€šå¸¸ã¯ Initialization スロットã«ç½®ã。Ketinit() も,平é¢ã®å ´åˆã¨ç•°ãªã‚Š Initialization スロットã«ç½®ã‘ã°ã‚ˆã„。ãŸã ã—,平é¢ã®é–¢æ•°ã‚’多用ã™ã‚‹å ´åˆã¯ï¼ŒKetinit() 㯠Drawスロットã«æ›¸ã„ã¦ãŠã。場åˆã«ã‚ˆã£ã¦å¤‰æ•°ã®åˆæœŸåŒ–ãªã©ãŒå¿…è¦ãªãŸã‚ã§ã‚る。KeTCindy3Dã«ãŠã‘る変数ã®åˆæœŸåŒ–ãªã©ã¯ï¼ŒStart3d()ã§è¡Œã‚れる。\\ - \\ - -\hypertarget{start3d}{} -\item[関数] Start3d() -\item[機能] 3Dã®ç”»é¢è¨­å®šã¨ç©ºé–“点ã®èªè­˜ -\item[説明] 副画é¢ã‚’作り,幾何点を3Dã®ç‚¹ã¨ã—ã¦èªè­˜ã™ã‚‹ã€‚ã“ã®é–¢æ•°ã¯å¿…é ˆã§ï¼ŒDrawスロットã®ã¯ã˜ã‚ã®æ–¹ã«ç½®ã。\\ - Cinderellaã®ä½œå›³ãƒ„ールã§ï¼Œç‚¹ãƒ»ç·šåˆ†ã‚’作図ã™ã‚‹ã¨ï¼Œå†…部関数㮠Ptseg3data() ã«ã‚ˆã£ã¦ãれらを空間ã®ç‚¹ã¨ã—ã¦èªè­˜ã—,副画é¢ä¸Šã«å¯¾å¿œã™ã‚‹ç‚¹ã‚’ã¨ã‚‹ã€‚ãŸã ã—,始ã‚ã¯z座標をï¼ã¨ã™ã‚‹ã€‚点ã®åå‰ãŒAã§ã‚ã‚Œã°ï¼Œå‰¯ç”»é¢ä¸Šã®ç‚¹ã¯Azã¨ãªã‚‹ã€‚点をãƒã‚¤ãƒ³ãƒˆã—ã¦é¸æŠžã™ã‚‹ã¨å‰¯ç”»é¢ã®ä¸Šã«åº§æ¨™ãŒè¡¨ç¤ºã•ã‚Œã‚‹ã€‚\\ - 作図ã—ãŸç‚¹ã®å称をインスペクタã§å¤‰æ›´ã—ãŸå ´åˆï¼Œæ–°ã—ã„å称ã«å¯¾å¿œã™ã‚‹ç‚¹ã‚’副画é¢ä¸Šã«ä½œæˆã™ã‚‹ãŒï¼Œä»¥å‰ã®ç‚¹ã¯æ¶ˆãˆãªã„ã®ã§è¦æ³¨æ„。ãŸã¨ãˆã°ï¼Œç‚¹Aを作図ã—ãŸå¾Œï¼Œä¸»ç”»é¢ä¸Šã®ç‚¹Aをインスペクタã§ç‚¹Dã«å¤‰ãˆãŸå ´åˆï¼Œå‰¯ç”»é¢ä¸Šã«æ–°ãŸã«DzãŒã§ãã‚‹ãŒï¼Œä»¥å‰ã®Azも残る。残ã£ãŸAzã¯ï¼Œé¸æŠžã—ã¦ãŠã„ã¦ä½œå›³ãƒ„ールã®æ¶ˆåŽ»ãƒœã‚¿ãƒ³ \includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/delete.png}ã§æ¶ˆã™ã“ã¨ãŒã§ãる。\\ -\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} - -\end{description} -\newpage -\subsection{æç”»} -\begin{description} - -\hypertarget{bezier3d}{} -\item[関数] Bezier3d(name,リスト1,リスト2) -\item[機能] 空間ベジェ曲線をæã -\item[説明] 引数ã¯ãƒªã‚¹ãƒˆ1ãŒç«¯ç‚¹ãƒªã‚¹ãƒˆï¼Œãƒªã‚¹ãƒˆ2ãŒåˆ¶å¾¡ç‚¹ãƒªã‚¹ãƒˆ\\ - 1組ã®ç«¯ç‚¹ã«ã¤ã,2ã¤ã®åˆ¶å¾¡ç‚¹ã‚’使ã†ã€‚\\ - \\ -ã€ä¾‹ã€‘ã„ãã¤ã‹ã®ç‚¹ã‚’ベジェ曲線ã§çµã¶\\ - 端点A,Bã«å¯¾ã—,制御点をD,Eã¨ã™ã‚‹ã€‚\\ -  \verb|Bezier3d("1",["A","B"],["D","E"]);|  \\ - 端点A,Bã«å¯¾ã—,制御点をD,Eã¨ã—,端点BCã«å¯¾ã—制御点をE,Fã¨ã™ã‚‹ã€‚\\ -  \verb|Bezier3d("1",["A","B","C"],["D","E","E","F"]);|\\ - 端点A,Bã«å¯¾ã—,制御点をD,Eã¨ã—,端点BCã«å¯¾ã—制御点をF,Gã¨ã™ã‚‹ã€‚(図)\\ -  \verb|Bezier3d("1",["A","B","C"],["D","E","F","G"]);|\\ -  \input{Fig3d/bezier3d1} - -\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} - -\hypertarget{changstyle3d}{} -\item[関数] Changstyle3d(リスト,リスト) -\item[機能] 3Dプロットデータã®å±žæ€§ã‚’変更 -\item[説明] 第1引数ã®ãƒ—ロットデータã®å±žæ€§ã‚’,第2引数ã«å¤‰æ›´ã™ã‚‹ã€‚\\ -ãŸã¨ãˆã°ï¼Œè£œåŠ©ç·šãªã©ï¼Œç”»é¢ã«ã¯æã„ã¦ã‚‚TeXã«æ›¸ã出ã•ãªã„ç·šã‚’æç”»ã™ã‚‹ã¨ãã¯ï¼Œoptionã«["notex"] ã‚’ã¤ã‘ã‚‹ãŒï¼Œã“れをã‚ã¨ã‹ã‚‰ä»˜åŠ ã—ãŸã„å ´åˆã«åˆ©ç”¨ã™ã‚‹ã€‚プロットデータã¯ãƒªã‚¹ãƒˆã«ã§ãã‚‹ã®ã§ï¼Œè¤‡æ•°ã®ãƒ—ロットデータã®å±žæ€§ã‚’ã¾ã¨ã‚ã¦å¤‰æ›´ã™ã‚‹ã“ã¨ãŒã§ãã¦ä¾¿åˆ©ã§ã‚る。\\ - \\ -ã€ä¾‹ã€‘ï¼”ã¤ã®ç‚¹ã§å››é¢ä½“ã®è¾ºã‚’æã,ã¾ã¨ã‚㦠notex ã«ã™ã‚‹ã€‚点A,B,C,Dã¯ã¨ã£ã¦ã‚ã‚‹ã‚‚ã®ã¨ã™ã‚‹ã€‚ -\begin{verbatim} - Spaceline("1",[A,B]); - Spaceline("2",[A,C]); - Spaceline("3",[B,C]); - Spaceline("4",[A,D]); - Spaceline("5",[B,D]); - Spaceline("6",[C,D]); - edges=apply(1..6,"sl3d"+text(#)); - Changestyle3d(edges,["notex"]); -\end{verbatim} - -\hypertarget{concatobj}{}   -\item[関数] Concatobj(リスト,option) -\item[機能] ã„ãã¤ã‹ã®objデータをçµåˆã™ã‚‹ -\item[説明] 多é¢ä½“ã®å„é¢ã®é ‚点リストã‹ã‚‰é¢ãƒ‡ãƒ¼ã‚¿ï¼ˆé ‚点リストã¨é¢ãƒªã‚¹ãƒˆï¼‰ã‚’作る。\\ - \\ -ã€ä¾‹ã€‘4点A,B,C,Dを頂点ã¨ã™ã‚‹å››é¢ä½“ã‚’æã。\\ - 四é¢ä½“ã¯ï¼”ã¤ã®é¢ã‹ã‚‰ãªã£ã¦ã„る。頂点をA,B,C,Dã¨ã™ã‚‹ã¨ï¼Œï¼”ã¤ã®é¢ã¯\\ -       △ABC,△ABD,△ACD,△BCD\\ - ã§ã‚る。\\ -    \input{Fig3d/concatobj}\\ - ãã“ã§\\ -  \verb|Concatobj([[A,B,C],[A,B,D],[A,C,D],[B,C,D]]);|\\ - ã¨ã™ã‚‹ã¨ï¼Œé¢ãƒ‡ãƒ¼ã‚¿ã€€[[A,B,C,D],[[1,2,3],[1,2,4],[1,3,4],[2,3,4]]]  ãŒè¿”ã•ã‚Œã‚‹ã€‚\\ - ã“ã®é¢ãƒ‡ãƒ¼ã‚¿ã‚’使ã£ã¦å››é¢ä½“ã‚’æãã“ã¨ãŒã§ãる。コード例ã¯ï¼Œ\hyperlink{vertexedgeface}{VertexEdgeFace()} ã‚’å‚ç…§ã®ã“ã¨ã€‚ - -\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} - -\hypertarget{crvsfparadata}{} -\item[関数] Crvsfparadata(name,PD1,PD2,å¼,options1,options2) -\item[機能] 曲線ã®æ›²é¢ã«ã‚ˆã‚‹é™°ç·šå‡¦ç† -\item[説明] 曲線PD1を表示ã™ã‚‹ã«ã‚ãŸã‚Šï¼Œæ›²é¢PD2ã«ã‚ˆã£ã¦éš ã‚Œã‚‹éƒ¨åˆ†ã‚’éžè¡¨ç¤ºã«ã™ã‚‹ã€‚\\ -通常ã¯æ›²é¢PD2も表示ã™ã‚‹ã®ã§ï¼ŒSfbdparadata() ã‚‚åŒæ™‚ã«ç”¨ã„ã‚‹ã“ã¨ã«ãªã‚‹ã€‚曲é¢ã‚’表示ã—ãªã‘ã‚Œã°ï¼Œæ›²ç·šã ã‘ãŒé™°ç·šå‡¦ç†ã•ã‚ŒãŸçŠ¶æ…‹ã§è¡¨ç¤ºã•ã‚Œã‚‹ã€‚\\ -第4引数ã®å¼ã¯ï¼ŒPD2ã‚’æããŸã‚ã®å¼ã€‚\\ -options1 ã«ã¯"r","m", "Wait=n" ãŒæŒ‡å®šã§ãる。Wait ã®åˆæœŸå€¤ã¯20\\ - "r","m"ã«é–¢ã—ã¦ã¯ï¼Œã‚ªãƒ—ションãªã—ã¾ãŸã¯ï¼Œâ€â€ ã®ã¨ã\\ -  i) データファイルãŒãªã‘ã‚Œã°ï¼Œæ–°ã—ã作る\\ -  ii) データファイルãŒæ—¢ã«ã‚ã‚Œã°ãれを読ã¿è¾¼ã‚€\\ - "m" ã®ã¨ã,強制的ã«ãƒ‡ãƒ¼ã‚¿ãƒ•ã‚¡ã‚¤ãƒ«ã‚’作り直ã™ã€‚\\ - "r" ã®ã¨ã,ã™ã§ã«ã‚るデータファイルを読ã¿è¾¼ã‚€ã€‚\\ -options2 ã«ã¯ 軸ã®é™°ç·šã®è¡¨ç¤ºã«ã¤ã„㦠"nodisp" ã¾ãŸã¯ç·šç¨®ãŒæŒ‡å®šã§ãる。デフォルト㯠"nodisp"。\\ -options2ã ã‘を指定ã—ãŸã„å ´åˆã¯ï¼Œoptions1 を空リスト [ ] ã«ã™ã‚‹ã€‚\\ - \\ -ã€ä¾‹ã€‘回転放物é¢ã¨åº§æ¨™è»¸ï¼Œç·šåˆ†ã‚’æã。\\ -デフォルトã§ã¯é™°ç·šã¯éžè¡¨ç¤ºã§ã‚る。(下図左) -\begin{verbatim} - Xyzax3data("","x=[-5,5]","y=[-5,5]","z=[-5,5]"); - Putpoint3d(["A",[0,-3,0],"B",[0,3,3]],"fix"); - Spaceline([A,B]); - fd=["z=4-(x^2+y^2)","x=R*cos(T)","y=R*sin(T)","R=[0,2]","T=[0,2*pi]","e"]; - Sfbdparadata("1",fd); - Crvsfparadata("1","AB3d","sfbd3d1",fd); - Crvsfparadata("2","ax3d","sfbd3d1",fd); -\end{verbatim} -options2ã«ç·šç¨®æŒ‡å®š ["do"] ã‚’ã¤ã‘ã‚‹ã¨ï¼Œé™°ç·šã¯ç‚¹ç·šã§è¡¨ç¤ºã•ã‚Œã‚‹ã€‚(下図å³ï¼‰ -\begin{verbatim} -Sfbdparadata("1",fd,[],["do"]); -Crvsfparadata("1","AB3d","sfbd3d1",fd,[],["do"]); -Crvsfparadata("2","ax3d","sfbd3d1",fd,[],["do"]); -\end{verbatim} - -    \input{Fig3d/crvsfparadata1}   \input{Fig3d/crvsfparadata2} - \\ -\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} - -\hypertarget{datalist}{}   -\item[関数] Datalist2d() -\item[機能] 画é¢ä¸Šã®ãƒ—ロットデータã®ãƒªã‚¹ãƒˆã‚’å–å¾—ã™ã‚‹ -\item[説明] 画é¢ã«æã‹ã‚Œã¦ã„ã‚‹ã™ã¹ã¦ã®ãƒ—ロットデータã®ãƒªã‚¹ãƒˆã‚’è¿”ã™ã€‚\\ -空間図形ã¯ï¼ŒCinderellaã®ç”»é¢ä¸Šã«å°„å½±ã—表示ã™ã‚‹ã€‚ãã®ãŸã‚,KeTCindy3Dã¯ï¼Œç©ºé–“ã«ãŠã‘るプロットデータã¨ï¼Œç”»é¢ä¸Šã«è¡¨ç¤ºã™ã‚‹ãƒ—ロットデータã®ï¼’ã¤ã‚’作ã£ã¦ã„る。Datalist2d()ã§ã¯ï¼Œç”»é¢ä¸Šã«è¡¨ç¤ºã™ã‚‹ãƒ—ロットデータã®ãƒªã‚¹ãƒˆã‚’è¿”ã™ã€‚\\ - \\ -ã€ä¾‹ã€‘ -\begin{verbatim} - Xyzax3data("","x=[-5,5]","y=[-5,5]","z=[-5,5]"); - Putpoint3d(["A",[0,-3,0],"B",[0,3,3]],"fix"); - Spaceline([A,B]); - println("PD="+Datalist2d()); -\end{verbatim} -ã¨ã™ã‚‹ã¨ï¼Œã‚³ãƒ³ã‚½ãƒ¼ãƒ«ã«ã€€PD=[ax2d,AB2d]  ã¨è¡¨ç¤ºã•ã‚Œã‚‹ã€‚ax2dã¯åº§æ¨™è»¸ã®ãƒ—ロットデータ ax3d ã«ï¼ŒAB2d ã¯ç·šåˆ†ABã®ãƒ—ロットデータ AB3d ã«å¯¾å¿œã—ã¦ã„る。\\ - \\ - -\hypertarget{datalist}{} -\item[関数] Datalist3d() -\item[機能] 空間ã®ãƒ—ロットデータã®ãƒªã‚¹ãƒˆã‚’å–å¾—ã™ã‚‹ -\item[説明] 空間ã«æã‹ã‚Œã¦ã„ã‚‹ã™ã¹ã¦ã®ãƒ—ロットデータã®ãƒªã‚¹ãƒˆã‚’è¿”ã™\\ - \\ -ã€ä¾‹ã€‘ -\begin{verbatim} - Xyzax3data("","x=[-5,5]","y=[-5,5]","z=[-5,5]"); - Putpoint3d(["A",[0,-3,0],"B",[0,3,3]],"fix"); - Spaceline([A,B]); - println("PD="+Datalist3d()); -\end{verbatim} -ã¨ã™ã‚‹ã¨ï¼Œã‚³ãƒ³ã‚½ãƒ¼ãƒ«ã«ã€€PD=[ax3d,AB3d]  ã¨è¡¨ç¤ºã•ã‚Œã‚‹ã€‚\\ - -\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} - -\hypertarget{dist3d}{} -\item[関数] Dist3d(a1,a2) -\item[機能] 空間ã®ï¼’点間ã®è·é›¢ã‚’返㙠-\item[説明] 引数a1,a2 ã¯ä½œå›³ç‚¹ã®å称,空間点ã®å称ã®ã„ãšã‚Œã§ã‚‚よã„。\\ -次ã®ï¼“通りã®è¨˜æ³•ã¯åŒã˜çµæžœã‚’è¿”ã™ã€‚æ··åœ¨ã‚‚å¯ -\begin{verbatim} - Dist3d("A","B"); - Dist3d(A,B); - Dist3d(A3d,B3d); -\end{verbatim} - \\ - -\hypertarget{drawpoint3d}{} -\item[関数] Drawpoint3d(座標) -\item[機能] 空間点をæã -\item[説明] 引数ã§ä¸ŽãˆãŸç©ºé–“座標ã®ç‚¹ã‚’æã。ã“ã®ç‚¹ã¯å¹¾ä½•ç‚¹ã§ã¯ãªã„。ã¾ãŸï¼ŒTeX ã«ã‚‚出力ã•ã‚Œãªã„。幾何点ã«ã™ã‚‹ã«ã¯ \hyperlink{putpoint3d}{Putpoint3d()} ã¨ç”¨ã„る。TeXã«ç‚¹ã‚’出力ã™ã‚‹ã«ã¯ï¼Œ\hyperlink{pointdata}{Pointdata()} ã¾ãŸã¯ \hyperlink{drwpt}{Drawpoint()} を用ã„る。\\ -引数ã¯ï¼Œåº§æ¨™ã®ãƒªã‚¹ãƒˆã«ã™ã‚‹ã“ã¨ã‚‚ã§ãる。\\ - \\ -ã€ä¾‹ã€‘ -\begin{verbatim} - Drawpoint3d([1,1,1]); - Drawpoint3d([[1,1,1],[0,1,0]]); -\end{verbatim} - \\ - -\hypertarget{embed}{} -\item[関数] Embed(name,PDリスト,å¼,変数リスト) -\item[機能] 2D図形ã®ç©ºé–“内平é¢ã¸åŸ‹ã‚込む -\item[説明] 第2引数ã¯ï¼’Dã®å›³å½¢ã®ãƒ—ロットデータã®ãƒªã‚¹ãƒˆï¼Œå¼ã¨å¤‰æ•°ã¯å¹³é¢ã‚’記述ã™ã‚‹å¼ã¨å¤‰æ•°ã€‚å¹³é¢ã¯åŽŸç‚¹$vo$ã¨ï¼’ã¤ã®åŸºæœ¬ãƒ™ã‚¯ãƒˆãƒ« $\overrightarrow{vx},\overrightarrow{vy}$を用ã„ã¦ï¼Œ$vo+x \cdot \overrightarrow{vx}+y \cdot \overrightarrow{vy}$ ã®å½¢ã§è¡¨ã™ã“ã¨ãŒã§ãる。変数(基本ベクトルã®ä¿‚数)ã¯$x,y$ ã§ãªã,$s,t$ ã§ã‚‚よã„。å¼ï¼Œå¤‰æ•°ãƒªã‚¹ãƒˆã¨ã‚‚ã«æ–‡å­—列ã«ã™ã‚‹ã€‚ã¾ãŸï¼ŒåŸºæœ¬ãƒ™ã‚¯ãƒˆãƒ«ã¯ç›´äº¤ã—ã¦ã„ãªãã¦ã‚‚よã„ã—,長ã•ãŒç•°ãªã£ã¦ã‚‚よã„ãŒï¼Œç¸¦æ¨ªåŒã˜ã‚¹ã‚±ãƒ¼ãƒ«ã®ç›´äº¤åº§æ¨™ç³»ã«ã™ã‚‹ã®ãŒã‚ã‹ã‚Šã‚„ã™ã„ã ã‚ã†ã€‚\\ - \\ -ã€ä¾‹ã€‘正三角形ã¨å¤–接円を空間内ã®å¹³é¢ã«åŸ‹ã‚込む -\begin{verbatim} - Xyzax3data("","x=[-5,4]","y=[-10,4]","z=[-5,5]",["a","O"]); - Spaceline("1",[[3,0,0],[3,6,0],[3,6,6],[3,0,6],[3,0,0]]); - Defvar("vo=[3,3,3]"); - Defvar("vx=[0,1,0]"); - Defvar("vy=[0,0,1]"); - Putpoint3d(["A",[3,3,3]],"fix"); - Circledata("1",[[0,0],[2,0]],["nodisp"]); - Listplot("1",[[0,2],[-sqrt(3),-1],[sqrt(3),-1],[0,2]],["nodisp"]); - Embed("1",["cr1","sg1"],"vo+x*vx+y*vy","[x,y]"); - Ptsize(3); - Drawpoint(A); -\end{verbatim} -     \input{Fig3d/embed01} - - ã“ã“ã§ï¼ŒEmbed()ã§å¼•ã渡㙠vo,vx,vy ã«ã¤ã„ã¦ã¯ï¼ŒScilabã§ã®å¤‰æ•°å®šç¾©ãŒå¿…è¦ãªã®ã§ï¼ˆKeTCindyã§ã¯è¡Œã‚ãªã„)Defvar() ã«ã‚ˆã£ã¦å®šç¾©ã‚’ã—ã¦ã„る。 -原点,基本ベクトルを,点を作図ã—ã¦æ¬¡ã®ã‚ˆã†ã«ã™ã‚‹ã“ã¨ã‚‚ã§ãる。ã“ã®å ´åˆã¯ Defvar() ã¯ä¸è¦ã€‚ -\begin{verbatim} - Putpoint3d(["A",[3,3,3],"B",[0,1,0],"C",[0,0,1]],"fix"); - Embed("1",["cr1","sg1"],"A3d+x*B3d+y*C3d","[x,y]"); -\end{verbatim} -        \includegraphics[bb=0 0 954 766 , width=6cm]{Fig3d/embed03.png}\\ - -ã“ã®å ´åˆï¼Œç‚¹B,Cã®åº§æ¨™ãŒãã®ã¾ã¾åŸºæœ¬ãƒ™ã‚¯ãƒˆãƒ«ã¨ãªã£ã¦ã„ã‚‹ãŒï¼ŒåŽŸç‚¹Aã«å¯¾ã—ã¦æ画平é¢ä¸Šã«ã¯B,CãŒãªã„ã®ã§å›³ãŒã‚ã‹ã‚Šã«ãã„。図をã‚ã‹ã‚Šã‚„ã™ãã™ã‚‹ãªã‚‰ã°æ¬¡ã®ã‚ˆã†ã«ã™ã‚‹ã€‚ -\begin{verbatim} - Putpoint3d(["A",[3,3,3],"B",[3,4,3],"C",[3,3,4]],"fix"); - Embed("1",["cr1","sg1"],"A3d+x*(B3d-A3d)+y*(C3d-A3d)","[x,y]"); -\end{verbatim} - - ã¾ãŸï¼Œå¹³é¢ã‚’記述ã™ã‚‹ã®ã«ï¼Œå¹³é¢ã®åŽŸç‚¹ã¨æ³•ç·šãƒ™ã‚¯ãƒˆãƒ«ã‚’用ã„㦠Perpplane() を用ã„ã‚‹ã¨ï¼ŒåŸºæœ¬ãƒ™ã‚¯ãƒˆãƒ«ãŒç”Ÿæˆã•ã‚Œã‚‹ã®ã§ã€ã“れを利用ã™ã‚‹ã“ã¨ãŒã§ãる。次ã®ã‚¹ã‚¯ãƒªãƒ—トã§ã¯ï¼ŒSkeletonparadata() を用ã„ã¦é™°ç·šå‡¦ç†ã‚‚ã—ã¦ã„る。 -\begin{verbatim} - Xyzax3data("","x=[-5,5]","y=[-8,5]","z=[-5,5]"); - Putpoint3d(["O",[0,0,0],"P",[1,1,2]],"fix"); - Perpplane("E-F","P",P3d-O3d,"put"); - vec1=3*(E3d-P3d); - vec2=3*(F3d-P3d); - Putpoint3d(["A",P3d+vec1+vec2],"fix"); - Putpoint3d(["B",P3d+vec1-vec2],"fix"); - Putpoint3d(["C",P3d-vec1-vec2],"fix"); - Putpoint3d(["D",P3d-vec1+vec2],"fix"); - Spaceline([A,B,C,D,A]); - Circledata("1",[[0,0],[2,0]],["nodisp"]); - Listplot("1",[[0,2],[-sqrt(3),-1],[sqrt(3),-1],[0,2]],["nodisp"]); - Embed("1",["cr1","sg1"],"P3d+x*(E3d-P3d)+y*(F3d-P3d)","[x,y]"); - Ptsize(3); - Drawpoint(P); - Skeletonparadata("1"); -\end{verbatim} -     \input{Fig3d/embed02} - -\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} - - -\hypertarget{intersectcrvsf}{} -\item[関数] Intersectcrvsf(name,PD,å¼) -\item[機能] 曲線ã¨æ›²é¢ã®äº¤ç‚¹ã®åº§æ¨™ã‚’求ã‚ã‚‹ -\item[説明] PDã¯æ›²ç·šã®ãƒ—ロットデータ。å¼ã¯æ›²é¢ã®å¼ã€‚\\ - \\ -ã€ä¾‹ã€‘回転放物é¢ã¨ç·šåˆ†ã®äº¤ç‚¹ã®åº§æ¨™ã‚’表示ã™ã‚‹ã€‚曲é¢ã¯è¡¨ç¤ºã•ã‚Œã¦ã„ãªãã¦ã‚‚よã„。 -\begin{verbatim} -Putpoint3d(["A",[0,-3,0],"B",[0,3,2]],"fix"); -Spaceline([A,B]); -fd=["z=4-(x^2+y^2)","x=R*cos(T)","y=R*sin(T)","R=[0,2]","T=[0,2*pi]","e"]; -println("Intersect="+Intersectcrvsf("1","AB3d",fd)); -\end{verbatim} -実行ã™ã‚‹ã¨ï¼Œã‚³ãƒ³ã‚½ãƒ¼ãƒ«ã«\\ -  \verb|Intersect=[[0,-1.91,0.36,1.18],[0,1.57,1.52,1.76]] | -ã¨è¡¨ç¤ºã•ã‚Œã‚‹ã€‚\\ - -\hypertarget{intersectsgpL}{} -\item[関数] IntersectsgpL(点å,線分,é¢ï¼Œæ画方法) -\item[機能] 空間ã®ç·šåˆ†ã¨å¹³é¢ã®äº¤ç‚¹ã‚’作図ã™ã‚‹ -\item[説明] 引数ã®ç·šåˆ†ã¯ç·šåˆ†ã®ç«¯ç‚¹ã‚’ "A-B" ã®å½¢ã‚‚ã—ãã¯åº§æ¨™ã®ãƒªã‚¹ãƒˆå½¢ã§ä¸Žãˆã‚‹ã€‚\\ - 引数ã®é¢ã¯ï¼Œé¢å†…ã®ï¼“点を "C-D-E" ã®å½¢ã‚‚ã—ãã¯åº§æ¨™ã®ãƒªã‚¹ãƒˆã§ä¸Žãˆã‚‹ã€‚\\ - æ画方法ã¯ï¼Œ"put" ã¾ãŸã¯ "draw" ã§ï¼Œæ画方法を指定ã—ãªã„å ´åˆã¯ "draw" ã¨åŒã˜ã€‚"draw"ã§ã¯äº¤ç‚¹ãŒç·‘ã®ç‚¹ã§è¡¨ç¤ºã•ã‚Œã‚‹ã ã‘ã§ï¼Œå¹¾ä½•ç‚¹ã¯ã§ããªã„。"put" ã§ã¯å¹¾ä½•ç‚¹ã‚’作る。\\ - \\ -ã€ä¾‹ã€‘座標ã®ãƒªã‚¹ãƒˆã§ä¸Žãˆã‚‹è¨˜è¿°ä¾‹\\ - \verb|IntersectsgpL("P",[p1,p2],[p3,p4,p5],"draw");| \\ - \\ -ã€ä¾‹ã€‘立方体を平é¢ã§åˆ‡ã£ãŸå›³ã‚’æã。\\ -  ã„ã‚ã„ã‚ãªæ‰‹é †ãŒè€ƒãˆã‚‰ã‚Œã‚‹ãŒï¼Œã“ã“ã§ã¯æ¬¡ã®æ‰‹é †ã§æã。\\ - (1) 立方体ã®é ‚点をã¨ã‚‹ã€‚1辺ã®é•·ã•ã‚’Hnã¨ã™ã‚‹ã€‚\\ -  ã“ã“ã§ã¯è»¸ä¸Šã®ç‚¹ã¯Putaxes3d()ã§ã¨ã‚‹ã€‚\\ -(2) 切断é¢ã‚’決ã‚る点E,F,Gを辺上ã®è‡ªç”±ç‚¹ã¨ã—ã¦Putonseg3d()ã§ã¨ã‚‹ã€‚\\ -(3) E,F,Gを通る平é¢ã¨ï¼Œè¾ºAC,DYã¨ã®äº¤ç‚¹ã‚’ã¨ã‚Šï¼ŒM,Nã¨ã™ã‚‹ã€‚\\ -(4) 全体を多é¢ä½“ã¨ã—ã¦é¢ãƒ‡ãƒ¼ã‚¿ã‚’作ã£ã¦æç”»ã™ã‚‹ã€‚ -\begin{verbatim} - Hn=3; - Putaxes3d(Hn); - Putpoint3d("A",[Hn,Hn,0],"fix"); - Putpoint3d("B",[Hn,0,Hn],"fix"); - Putpoint3d("C",[Hn,Hn,Hn],"fix"); - Putpoint3d("D",[0,Hn,Hn],"fix"); - Putonseg3d("E",X,B); - Putonseg3d("F",Z,B); - Putonseg3d("G",Z,D); - IntersectsgpL("M","A-C","E-F-G","put"); - IntersectsgpL("N","D-Y","E-F-G","put"); - phd=Concatobj([[O,X,A,Y],[X,A,M,E],[A,Y,N,M],[Y,N,G,Z,O], -   [O,Z,F,E,X],[Z,F,G],[E,M,N,G,F]]); - VertexEdgeFace("1",phd,["Edg=nogeo"]); - Nohiddenbyfaces("1","phf3d1"); -\end{verbatim} -Cinderellaã®æç”»é¢ã¯ã¤ãŽã®ã‚ˆã†ã«ãªã‚‹ã€‚点E,F,Gをドラッグã—ã¦ï¼Œé©å½“ãªä½ç½®ã®æ–­é¢ã«ã§ãる。ãŸã ã—,M,Nã¯è¾ºä¸Šã«ã‚ã‚‹ã“ã¨ãŒæ¡ä»¶ã§ã‚る。 -\\ - \\ -\includegraphics[bb=0 0 1426 654 , width=12cm]{Fig3d/IntersectsgpL0.png}\\ - -ã§ããŸå›³ã¯ä¸‹å›³å·¦ã€‚ã“ã‚Œã«ï¼Œæ¬¡ã®ã‚¹ã‚¯ãƒªãƒ—トを追加ã™ã‚Œã°ï¼Œæ–­é¢ä¸Šæ–¹ã®ç«‹æ–¹ä½“ã®å„辺も点線ã§æã‹ã‚Œã‚‹ã€‚(下図å³ï¼‰ -\begin{verbatim} - Spaceline([E,B,F],["do"]); - Spaceline([B,C,M],["do"]); - Spaceline([C,D,N],["do"]); - Spaceline([D,G],["do"]); -\end{verbatim} -\input{Fig3d/IntersectsgpL1}   \input{Fig3d/IntersectsgpL2} - -\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} - -\hypertarget{invparapt}{} -\item[関数] Invparapt(座標,PD) -\item[機能] æç”»é¢ä¸Šã®åº§æ¨™ã«å¯¾å¿œã™ã‚‹æ›²ç·šä¸Šã®ç‚¹ã®åº§æ¨™ã‚’返㙠-\item[説明] Cinderellaã®æç”»é¢ä¸Šã®åº§æ¨™ã‚’与ãˆã¦ï¼Œãã‚Œã«å¯¾å¿œã™ã‚‹æ›²ç·šä¸Šã®ï¼“次元座標を返ã™ã€‚ -\\ -空間内ã®æ›²ç·šã‚’作図ã™ã‚‹ã¨ï¼Œæ›²ç·šã®ç©ºé–“内ã®ãƒ—ロットデータã¨ã¨ã‚‚ã«ï¼Œæç”»é¢ä¸Šã«æããŸã‚ã®ãƒ—ロットデータも作られる。ã“れを利用ã™ã‚‹ã¨ï¼Œæç”»é¢ä¸Šã®ä½ç½®ã‹ã‚‰æ›²ç·šä¸Šã®åº§æ¨™ã‚’求ã‚ã‚‹ã“ã¨ãŒã§ãる。\\ - \\ -ã€ä¾‹ã€‘螺旋ã¨ç·šåˆ†ã‚’æã„ãŸã¨ã,æç”»é¢ä¸Šã§ã®äº¤ç‚¹ï¼ˆç©ºé–“内ã®äº¤ç‚¹ã§ã¯ãªã„)ã«å¯¾å¿œã™ã‚‹èžºæ—‹ä¸Šã®ç‚¹ã®åº§æ¨™ã‚’求ã‚部分曲線をæã。\\ -\begin{verbatim} - Spaceline("1",[[-1,-1,-1],[1,2,3]]); - Spacecurve("1","[2*cos(t),2*sin(t),0.2*t]","t=[0,4*pi]",["do"]); - tmp=Intersectcrvs("sl2d1","sc2d1"); - p1=Invparapt(tmp_1,"sc3d1"); - p2=Invparapt(tmp_2,"sc3d1"); - Partcrv3d("1",p1,p2,"sc3d1"); -\end{verbatim} -        \input{Fig3d/invparapt}\\ -ã“ã“ã§ï¼Œsl2d1,sc2d1 ã¯ç·šåˆ†ã¨èžºæ—‹ã®æç”»é¢ä¸Šã§ã®ï¼ˆå¹³é¢ã®ï¼‰ãƒ—ロットデータã§ã‚る。Intersectcrvs() ã§å¹³é¢ä¸Šã®äº¤ç‚¹ã®åº§æ¨™ï¼ˆè¤‡æ•°ã‚ã‚‹ã®ã§ãƒªã‚¹ãƒˆãŒè¿”る)を求ã‚,Invparapt() ã§å¯¾å¿œã™ã‚‹èžºæ—‹ä¸Šã®ç‚¹ã®åº§æ¨™ã‚’求ã‚ã¦éƒ¨åˆ†æ›²ç·šã‚’æã„ã¦ã„る。実際ã«äº¤ã‚る点ã§ã®éƒ¨åˆ†æ›²ç·šã§ã¯ãªã„ã“ã¨ã«æ³¨æ„。\\ - \\ - -\hypertarget{mkbezierptcrv3d}{} -\item[関数] Mkbezierptcrv3d(点リスト) -\item[機能] 制御点を自動的ã«ã¨ã‚‹ç©ºé–“ベジェ曲線 -\item[説明] リストã§ä¸ŽãˆãŸç‚¹ã«å¯¾ã—,制御点を自動的ã«ç”Ÿæˆã—ã¦ãƒ™ã‚¸ã‚§æ›²ç·šã‚’æã。\\ - 制御点ã¯ï¼Œï¼’ã¤ã®ç‚¹ã«å¯¾ã—ã¦ï¼Œãã®ç‚¹ã‚’端点ã¨ã™ã‚‹ç·šåˆ†ä¸Šã«ï¼’ã¤ä½œã‚‰ã‚Œã‚‹ã€‚ã“れをé©å®œç§»å‹•ã—ã¦ä»»æ„ã®æ›²ç·šã«ã™ã‚‹ã“ã¨ãŒã§ãる。\hyperlink{bezier3d}{空間ベジェ曲線 Bezier3d()} ã‚’å‚ç…§ã®ã“ã¨ã€‚\\ - \\ -ã€ä¾‹ã€‘\verb|Mkbezierptcrv3d(["A","B","C","D"]);|\\ -  線分AB上ã«ï¼’点a1p,a2p,線分BC上ã«ï¼’点a2p,a2q,線分CD上ã«ï¼’点a3p,a3qãŒã§ãる。\\ - -\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} - -\hypertarget{nohiddenbyfaces}{} -\item[関数] Nohiddenbyfaces(name,PD1,PD2,option1,option2) -\item[機能] é¢ã«å¯¾ã—曲線を陰線処ç†ã™ã‚‹ -\item[説明] PD2ã§ä¸Žãˆã‚‰ã‚ŒãŸé¢ã«å¯¾ã—,曲線PD1ã®é¢ã«éš ã‚Œã¦ã„る部分を陰線処ç†ã™ã‚‹ã€‚\\ -引数PD1ã‚’çœç•¥ã™ã‚‹ã¨ã™ã¹ã¦ã®æ›²ç·šãŒå¯¾è±¡ã¨ãªã‚‹ã€‚陰線処ç†ã•ã‚ŒãŸç·šã¯åˆæœŸè¨­å®šã§ã¯ç‚¹ç·šã§è¡¨ã•ã‚Œã‚‹ã€‚ã“ã®ç·šç¨®ã¯option2ã§å¤‰æ›´ã§ãる。ãŸã¨ãˆã°ï¼Œ["da"] ã¨ã™ã‚‹ã¨ç ´ç·šã«ãªã‚‹ã€‚option1ã¯æ›²ç·šå…¨ä½“ã®optionã§ã‚ã‚‹ã®ã§ï¼Œoption2 ã ã‘を指定ã™ã‚‹å ´åˆã¯ï¼Œoption1 ã¨ã—ã¦ç©ºãƒªã‚¹ãƒˆ[ ] ãŒå¿…è¦ã§ã‚る。\\ - \\ -ã€ä¾‹ã€‘座標平é¢ä¸Šã«æ­£å››é¢ä½“ã‚’æã,å„軸ã¨æ­£å››é¢ä½“ã®è¾ºã‚’陰線処ç†ã™ã‚‹ã€‚(下図左) -\begin{verbatim} -Xyzax3data("","x=[-5,5]","y=[-5,5]","z=[-5,4]"); -Putpoint3d("A",2*[-1,-1/sqrt(3),0],"fix"); -Putpoint3d("B",2*[1,-1/sqrt(3),0],"fix"); -Putpoint3d("C",2*[0,sqrt(3)-1/sqrt(3),0],"fix"); -Putpoint3d("D",2*[0,0,sqrt(3)],"fix"); -phd=Concatobj([[A,B,C],[A,B,D],[A,C,D],[B,C,D]]); -VertexEdgeFace("1",phd,["Edg=nogeo"]); -Nohiddenbyfaces("1","phf3d1"); -\end{verbatim} - - \verb|VertexEdgeFace("1",phd,["Edg=nogeo"]);| ã«ã‚ˆã£ã¦ï¼Œè¾ºï¼Œé ‚点,é¢ã®ãƒ—ロットデータãŒä½œã‚‰ã‚Œã‚‹ã€‚\verb|phf3d1| ã¯ï¼Œé¢ã®ãƒ—ロットデータã§ã‚る。\\ - ã“ã“ã§ï¼Œ\verb|Nohiddenbyfaces("1","phe3d1","phf3d1",["dr,2"],["da"]); | ã¨ã™ã‚‹ã¨ï¼Œåº§æ¨™è»¸ã¯é™°ç·šå‡¦ç†ã•ã‚Œãšï¼Œæ­£å››é¢ä½“ã®è¾ºï¼ˆ\verb|phe3d1|)ã ã‘ãŒé™°ç·šå‡¦ç†ã•ã‚Œã¦ç ´ç·šã§æã‹ã‚Œã‚‹ã€‚å››é¢ä½“ã¯å¤ªãæã‹ã‚Œã‚‹ã€‚(下図å³ï¼‰\\ - \\ - \input{Fig3d/nohiddenbyfaces1}   \input{Fig3d/nohiddenbyfaces2}\\ -åŒæ§˜ã«ï¼Œ\\ - \verb|Nohiddenbyfaces("1","ax3d","phf3d1",[],["da"]);|\\ -ã¨ã™ã‚Œã°ï¼Œåº§æ¨™è»¸ã ã‘ãŒé™°ç·šå‡¦ç†ã•ã‚Œã¦ç ´ç·šã§æã‹ã‚Œã‚‹ã€‚\\ -\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} - -\hypertarget{parapt}{} -\item[関数] Parapt(座標) -\item[機能] 点ã®æŠ•å½±é¢ã§ã®åº§æ¨™ -\item[説明] 引数ã®ç©ºé–“座標ã«å¯¾å¿œã™ã‚‹Cinderellaã®æç”»é¢ã®åº§æ¨™ã‚’è¿”ã™ã€‚\\ - \\ -ã€ä¾‹ã€‘\verb|Parapt([2,1,5]);| ã«ã‚ˆã‚Šï¼Œç‚¹(2,1,5) ãŒè¡¨ç¤ºã•ã‚Œã¦ã„ã‚‹æç”»é¢ã®åº§æ¨™ï¼ŒãŸã¨ãˆã° [-0.52,3.27] ãŒè¿”ã•ã‚Œã‚‹ã€‚\\ -\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} - -\hypertarget{perpplane}{} -\item[関数] Perpplane(点å,点,ベクトル,option) -\item[機能] 点を通り線分ã«åž‚ç›´ãªå¹³é¢ä¸Šã«åŸºæº–点を2ã¤ã¨ã‚‹ -\item[説明] 引数ã®ç‚¹åã¯ï¼Œä½œæˆã™ã‚‹ï¼’点㧠"A-B" ã®å½¢\\ - 第2引数ã¯é€šã‚‹ç‚¹ã®å称ã¾ãŸã¯åº§æ¨™\\ - 第3引数ã¯æ³•ç·šãƒ™ã‚¯ãƒˆãƒ«\\ - option㯠"put" ã§ï¼Œï¼’ã¤ã®å¹¾ä½•ç‚¹ã‚’作図ã™ã‚‹ã€‚optionãŒãªã„å ´åˆã¯å¹¾ä½•ç‚¹ã¯ä½œã‚‰ãšï¼Œç„¡åã®ç‚¹ã®ã¿ã‚’表示ã™ã‚‹ã€‚put以外ã®æ–‡å­—列を書ã„ãŸã¨ãã¯ç„¡åŠ¹ãªå‘½ä»¤ã¨ã—,何も作æˆã•ã‚Œãªã„。\\ - 記述例を示ã™ã¨\\ -  \verb|Perpplane("A-B","P",[1,1,1],"put");|\\ -    点Pを通り,法線ベクトル(1,1,1)ã«åž‚ç›´ãªå¹³é¢ä¸Šã«ç‚¹A,Bã‚’ã¨ã‚‹ã€‚\\ -  \verb|Perpplane("A-B","P",P3d-O3d);|\\ -    点Pを通り,線分OPã«åž‚ç›´ãªå¹³é¢ä¸Šã«ç‚¹A,Bã‚’ã¨ã‚‹ã€‚\\ - ã“れらã«ãŠã„ã¦ï¼ŒPAã¨PBã¯åž‚ç›´ã§ï¼ŒPA=PB=1 ã¨ãªã‚‹ã€‚\\ - \\ -ã€ä¾‹ã€‘ベクトル $\vec{p}=(1,1,1)$ ã«åž‚ç›´ã§ç‚¹$(1,1,1)$を通る平é¢ã‚’æã。 -\begin{verbatim} - Putaxes3d(2); - Putpoint3d(["P",[1,1,1]],"fix"); - Ptseg3data(); - Perpplane("E-F","P",P3d-O3d,"put"); - vec1=2*(E3d-P3d); - vec2=2*(F3d-P3d); - Putpoint3d(["A",P3d+vec1+vec2],"fix"); - Putpoint3d(["B",P3d+vec1-vec2],"fix"); - Putpoint3d(["C",P3d-vec1-vec2],"fix"); - Putpoint3d(["D",P3d-vec1+vec2],"fix"); - Spaceline([A,B,C,D,A]); - Letter([P,"w","P",A,"ne","A",B,"e","B",C,"ws","C",D,"nw","D",]); - Skeletonparadata("1"); -\end{verbatim} -         \input{Fig3d/perpplane} -\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} - \\ - -\hypertarget{perppt}{} -\item[関数] Perppt(点å,点,点リスト,option) -\item[機能] 平é¢ã«ä¸‹ã‚ã—ãŸåž‚ç·šã®è¶³ã‚’求ã‚ã‚‹ -\item[説明] 第2引数ã®ç‚¹ã‹ã‚‰ï¼Œç¬¬ï¼“引数ã®ç‚¹ãƒªã‚¹ãƒˆã§æ±ºã¾ã‚‹å¹³é¢ã«ä¸‹ã—ãŸåž‚ç·šã®è¶³ã‚’,第1引数ã®åå‰ã®ç‚¹ã¨ã™ã‚‹ã€‚\\ -オプションã¯æ¬¡ã®é€šã‚Šã€‚デフォルト㯠"draw"\\ - draw:点を打ã¤ã€‚幾何点ã¯ä½œã‚‰ãªã„\\ - put :幾何点を作る\\ - none:計算ã ã‘è¡Œã„,点ã¯ä½œå›³ã—ãªã„。\\ - \\ -ã€ä¾‹ã€‘原点ã‹ã‚‰ç‚¹ABCを通る平é¢ã«ä¸‹ã—ãŸåž‚ç·šã®è¶³Hã®åº§æ¨™ã‚’求ã‚る。\\ -  \verb|Perppt("H","O","A-B-C","none");| 表示ã¯ã•ã‚Œãªã„。\\ -  \verb|Perppt("N","O","A-B-C");| Hã®ä½ç½®ã«ç·‘色ã®ç‚¹ãŒè¡¨ç¤ºã•ã‚Œã‚‹ã€‚\\ -  \verb|Perppt("N","O","A-B-C","put");| 幾何点HãŒä½œå›³ã•ã‚Œã‚‹ã€‚\\ - ã„ãšã‚Œã®å ´åˆã‚‚,Hã®åº§æ¨™ã¯å¤‰æ•°H3d ã«ä»£å…¥ã•ã‚Œã‚‹\\ - \\ -作図例 -\begin{verbatim} - Xyzax3data("","x=[-5,5]","y=[-5,5]","z=[-5,4]"); - Putpoint3d("O",[0,0,0],"fix"); - Putpoint3d("A",[3,0,0],"fix"); - Putpoint3d("B",[0,3,0],"fix"); - Putpoint3d("C",[0,0,3],"fix"); - Perppt("H","O","A-B-C","put"); - Spaceline([A,B,C,A]); - Spaceline([O,H]); - Letter([A,"nw","A",B,"ne","B",C,"ne","C",O,"nw","O",H,"ne","H"]); -\end{verbatim} - \\ -     \input{Fig3d/perppt} - \\ - -\hypertarget{partcrv3d}{} -\item[関数] Partcrv3d(name,始点,終点,PD) -\item[機能] 部分曲線ã®ãƒ—ロットデータを作æˆã™ã‚‹ -\item[説明] 曲線PDã«ãŠã„ã¦ï¼Œå§‹ç‚¹ã‹ã‚‰çµ‚点ã¾ã§ã®ãƒ—ロットデータを作æˆã™ã‚‹ã€‚\\ -始点ã¨çµ‚点ã¯ï¼Œãƒ—ロットデータã®ç•ªå·ã‚‚ã—ãã¯æ›²ç·šä¸Šã«ã¨ã£ãŸç‚¹ã®è­˜åˆ¥åã§ç¤ºã™ã€‚\\ - -ã€ä¾‹ã€‘螺旋をæã,Cã‹ã‚‰Dã¾ã§ã®éƒ¨åˆ†ã‚’太ãã™ã‚‹ã€‚PutonCurve3d() ã§èžºæ—‹ä¸Šã«ç‚¹C,Dã‚’ã¨ã‚Šï¼Œãƒ‰ãƒ©ãƒƒã‚°ã—ã¦é©å½“ãªä½ç½®ã«ç§»å‹•ã™ã‚‹ã€‚ -\begin{verbatim} - Xyzax3data("","x=[-5,5]","y=[-5,5]","z=[-5,4]"); - Spacecurve("1","[2*cos(t),2*sin(t),0.2*t]","t=[0,4*pi]",["Num=100"]); - PutonCurve3d("C","sc3d1"); - PutonCurve3d("D","sc3d1"); - Partcrv3d("1",C,D,"sc3d1",["dr,3"]); - Letter([C,"n2","C",D,"n2","D"]); -\end{verbatim} - ã“ã“ã§ï¼Œ\verb|"sc3d1"| ã¯ï¼Œèžºæ—‹ã®ãƒ—ロットデータ,\verb|"part3d1"| ã¯ï¼Œéƒ¨åˆ†æ›²ç·šã®ãƒ—ロットデータã§ã‚る。\\ -       \input{Fig3d/partcrv3d1}\\ - \\ -ã€ä¾‹ã€‘稲妻状ã®èžºæ—‹ã‚’点線ã§æã,ãã®ä¸€éƒ¨ã‚’実線ã«ã™ã‚‹ã€‚ä½ç½®ã¯ãƒ—ロットデータã®ç•ªå·ã§ç¤ºã™ã€‚å°æ•°ã«ã™ã‚‹ã¨æ›²ç·šã‚’分割ã—ã¦ã„る線分ã®é€”中ã®ä½ç½®ã«ãªã‚‹ã€‚ -\begin{verbatim} -Spacecurve("1","[2*cos(t),2*sin(t),0.2*t]","t=[0,4*pi]",["Num=10","do"]); -Partcrv3d("1",3.3,8.5,"sc3d1"); -\end{verbatim} -       \input{Fig3d/partcrv3d2}\\ - -\hypertarget{phparadata}{} -\item[関数] Phparadata(name,name2,options) -\item[機能] 多é¢ä½“を陰線処ç†ã—ã¦æã -\item[説明] 多é¢ä½“を陰線処ç†ã—ã¦æã。多é¢ä½“ã¯é¢ãƒ‡ãƒ¼ã‚¿ï¼ˆé ‚点リストã¨é¢ãƒªã‚¹ãƒˆï¼‰ã‚’与ãˆã¦ï¼ŒVertexEdgeFace() ã§ãƒ—ロットデータを作る。ã“ã®ãƒ—ロットデータã«å¯¾ã—,隠れã¦ã„ã‚‹é¢ï¼ˆè¾ºï¼‰ã‚’éžè¡¨ç¤ºã«ã—ã¦è¡¨ç¤ºã™ã‚‹ã€‚第1引数ã¯é€šå¸¸ã®name,第2引数ã®name2ã¯ï¼ŒVertexEdgeFace() ã§ä¸ŽãˆãŸnameã¨åŒã˜ã‚‚ã®ã¨ã™ã‚‹ã€‚\\ - optionsã¯ï¼Œå…¨ä½“ã®ç·šç¨®ï¼ˆ"dr,2"ãªã©ï¼‰ã¨ï¼Œé™°ç·šã®ç·šç¨®ã‚’"Hidden=線種" ã§æŒ‡å®šã§ãる。デフォルトã§ã¯é™°ç·šã¯è¡¨ç¤ºã—ãªã„。\\ - \\ -ã€ä¾‹ã€‘å°æž—・鈴木・三谷ã«ã‚ˆã‚‹å¤šé¢ä½“データ polyhedrons obj ã‹ã‚‰ï¼Œs06ã®åˆ‡é ‚二åé¢ä½“(サッカーボール型)をæã。 -\begin{verbatim} - Setdirectory( Dirhead+"/data/polyhedrons_obj"); - phd=Readobj("s06.obj",["size=3"]); - Setdirectory(Dirwork); - VertexEdgeFace("s06",phd,["Edg=nogeo"]); - Phparadata("1","s06"); -\end{verbatim} - VertexEdgeFace() ã® name ã¯é€šå¸¸ã® "1" ã§ã‚‚よã„。ãã®å ´åˆã¯ï¼Œ\verb|Phparadata("1","1");| ã¨ã™ã‚‹ãŒï¼Œã‚ã‹ã‚Šã«ãã„ã®ã§ä¸Šã®ã‚ˆã†ã«ã—ãŸã€‚\\ - 実行ã™ã‚‹ã¨ï¼ŒCinderellaã®æç”»é¢ã¯æ¬¡ã®ã‚ˆã†ã«é ‚点ã ã‘ãŒæã‹ã‚Œã‚‹ã€‚\\ - \\ - \includegraphics[bb=0 0 1452 730 , width=12cm]{Fig3d/phparadata01.png}\\ - \\ -「Texviewã€ã€ŒExekcã€ãƒœã‚¿ãƒ³ã‚’押ã™ã¨é™°ç·šå‡¦ç†ã—ãŸãƒ‡ãƒ¼ã‚¿ãŒFhead.txt ã«æ›¸ã出ã•ã‚Œï¼Œã“れを用ã„ã¦Fhead.texãŒä½œæˆã•ã‚Œã‚‹ã€‚ãã®ãŸã‚,Exekcボタンを押ã—ã¦ã‹ã‚‰å‡¦ç†ãŒå®Œäº†ã™ã‚‹ã¾ã§ã«ã‹ãªã‚Šæ™‚é–“ãŒã‹ã‹ã‚‹ã€‚(下図左)\\ - ãªãŠï¼Œã‚‚ã†ä¸€åº¦å®Ÿè¡Œã™ã‚‹ã¨ï¼Œã“ã‚“ã©ã¯ï¼ŒFhead.txt ãŒã§ãã¦ã„ã‚‹ãŸã‚ã«ï¼Œã“れを読ã¿è¾¼ã‚“ã§Cinderellaã®ç”»é¢ã§ã‚‚陰線処ç†ã•ã‚ŒãŸå›³ãŒæã‹ã‚Œã‚‹ã€‚\\ - 全体ã®ç·šç¨®ã¨ï¼Œé™°ç·šã®ç·šç¨®ã‚’\\ -  \verb|Phparadata("1","s05",["dr,2","Hidden=do"]);|\\ -ã§æŒ‡å®šã—ãŸã®ãŒä¸‹å›³å³ã§ã‚る。\\ - -  \input{Fig3d/phparadata02}    \input{Fig3d/phparadata03}\\ - -ã€æ³¨æ„】\\ - polyhedrons obj ã®ãƒ‡ãƒ¼ã‚¿ã‚’使ã£ã¦ï¼Œç¶šã‘ã¦ç•°ãªã‚‹å¤šé¢ä½“ã‚’æããŸã„å ´åˆã¯æ³¨æ„ãŒå¿…è¦ã§ã‚る。Readobj()ã ã‘を変更ã—ã¦åˆ¥ã®ãƒ‡ãƒ¼ã‚¿ã‚’読ã‚ã°ã‚ˆã•ãã†ã§ã‚ã‚‹ãŒï¼ŒVertexEdgeFace() ã®name も(ã—ãŸãŒã£ã¦ï¼ŒPhparadata()ã®ç¬¬2引数も)書ãæ›ãˆãªã„ã¨ï¼Œå‰ã®ãƒ‡ãƒ¼ã‚¿ãŒæ®‹ã£ã¦ã„ã¦ã†ã¾ãã„ã‹ãªã„。ãŸã¨ãˆã°ï¼Œä¸Šã®ã‚³ãƒ¼ãƒ‰ã§åˆ‡é ‚å二é¢ä½“ã‚’æã„ãŸå¾Œï¼Œæ­£å…«é¢ä½“(r02)をæã“ã†ã¨ã™ã‚‹ãªã‚‰ã°ï¼Œ -\begin{verbatim} - Setdirectory( Dirhead+"/data/polyhedrons_obj"); - phd=Readobj("r02.obj",["size=3"]); - Setdirectory(Dirwork); - VertexEdgeFace("2",phd,["Edg=nogeo"]); - Phparadata("1","2"); -\end{verbatim} - ã®ã‚ˆã†ã«ã™ã‚‹ã€‚\\ - -\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} - -\hypertarget{projcoordpara}{} -\item[関数] Projcoordpara(座標) -\item[機能] 投影座標を求ã‚ã‚‹ -\item[説明] 空間座標を投影ã—ãŸåº§æ¨™ã‚’求ã‚る。\\ - 戻り値ã®ç¬¬ï¼‘,第2è¦ç´ ã¯Cinderellaã®æç”»é¢ã®x,y座標。第3è¦ç´ ã¯xyå¹³é¢ã«åž‚ç›´ãªzã®åº§æ¨™ã§ï¼ŽæŠ•å½±é¢ã‹ã‚‰ã®ï¼ˆç¬¦å·ä»˜ï¼‰è·é›¢ã‚’表ã™ã€‚\\ - \\ -ã€ä¾‹ã€‘\verb|Projcoordpara([3,1,2]);|\\ -  戻り値ã¯ã€€[-0.65,1.7,3.27]  ã¨ãªã‚‹ã€‚\\ - - -\hypertarget{putaxes3d}{} -\item[関数] Putaxes3d([x,y,z]) -\item[機能] 軸上ã«å¹¾ä½•ç‚¹ã‚’作る。 -\item[説明] 引数ã®ãƒªã‚¹ãƒˆ [x,y,z] ã«å¯¾ã—,点X(x,0,0) ,Y(0,y,0) , Z(0,0,z) ãŠã‚ˆã³ 原点Oを主画é¢ä¸Šã«ã¨ã‚Šï¼Œå‰¯ç”»é¢ä¸Šã«å¯¾å¿œã™ã‚‹ç‚¹Xz,Yz,Zz,Oz を作る。ã™ã§ã«åŒã˜å称ã®ç‚¹ãŒã‚ã‚‹å ´åˆã¯ï¼ŒæŒ‡å®šã•ã‚ŒãŸä½ç½®ã«ç§»å‹•ã™ã‚‹ã€‚\\ - 引数ã¯ï¼Œå®Ÿæ•°ã«ã™ã‚‹ã“ã¨ã‚‚ã§ã,Putaxes3d(a) ã¯ï¼ŒPutaxes3d([a,a,a]) ã¨åŒã˜ã«ãªã‚‹ã€‚\\ -ã€ä¾‹ã€‘Putaxes3d(5); 原点ã¨ï¼Œ$x(5,0,0),y(0,5,0),z(0,0,5)$ を作る。\\ -  Putaxes3d([1,2,3]); 原点ã¨ï¼Œ$x(1,0,0),y(0,2,0),z(0,0,3)$ を作る。\\ - -\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} - -\hypertarget{putonCurve3d}{} -\item[関数] PutonCurve3d(点å,PD) -\item[機能] 空間曲線上ã«ç‚¹ã‚’ã¨ã‚‹ -\item[説明] プロットデータPDã®æ›²ç·šä¸Šã«ï¼Œç‚¹åã®ç‚¹ã‚’ã¨ã‚‹ã€‚\\ - ã¨ã£ãŸç‚¹ã¯å›ºå®šç‚¹ã§ã¯ãªã,曲線上ã«ã‚¤ãƒ³ã‚·ãƒ‡ãƒ³ãƒˆã¨ãªã‚‹ã€‚ã—ãŸãŒã£ã¦ï¼Œãƒ‰ãƒ©ãƒƒã‚°ã—ã¦æ›²ç·šä¸Šã‚’å‹•ã‹ã™ã“ã¨ãŒã§ãる。例㯠\hyperlink{partcrv3d}{Partcrv3d()} ã‚’å‚ç…§ã®ã“ã¨ã€‚\\ - \\ - -\hypertarget{putonseg3d}{} -\item[関数] Putonseg3d(点å,点1,点2) -\item[機能] 線分上ã«ç‚¹ã‚’å–ã‚‹ -\item[説明] 点1ã¨ç‚¹ï¼’ã®ä¸­ç‚¹ã«ï¼ŒæŒ‡å®šã•ã‚ŒãŸåå‰ã®ç‚¹ã‚’å–る。点1ã¨ç‚¹ï¼’ãŒç·šåˆ†ã¨ã—ã¦çµã°ã‚Œã¦ã„ãªãã¦ã‚‚よã„。ã¨ã£ãŸç‚¹ã¯ç·šåˆ†ã«ã‚¤ãƒ³ã‚·ãƒ‡ãƒ³ãƒˆã¨ãªã‚‹ï¼ˆç·šåˆ†ãŒæã‹ã‚Œã¦ã„ãªãã¦ã‚‚)。点1ã¨ç‚¹ï¼’ã¯ãƒªã‚¹ãƒˆã«ã™ã‚‹ã“ã¨ã‚‚ã§ãる。\\ - \\ -ã€ä¾‹ã€‘Aã¨Bã®ä¸­ç‚¹ã«ç‚¹Cã‚’ã¨ã‚‹ã€‚ã¤ãŽã®ã„ãšã‚Œã§ã‚‚よã„。\\ -  \verb|Putonseg3d("C",A,B);|\\ -  \verb|Putonseg3d("C",[A,B]);|\\ - \\ - -\hypertarget{putpoint3d}{} -\item[関数] Putpoint3d(リスト,option) -\item[機能] 空間ã«å¹¾ä½•ç‚¹ã‚’作図ã™ã‚‹ -\item[説明] 点ã®å称ã¨åº§æ¨™ã‚’与ãˆã¦ç‚¹ã‚’作図ã™ã‚‹ã€‚複数ã®ç‚¹ã‚’一度ã«ä½œå›³ã§ãる。\\ - optionã¯ï¼Œ"fix" ã¾ãŸã¯ "free" (デフォルト)。\\ - "fix" ã‚’ã¤ã‘ã‚‹ã¨ï¼Œå›ºå®šç‚¹ï¼ˆãƒ‰ãƒ©ãƒƒã‚°ã§ç§»å‹•ã§ããªã„点)ã¨ã™ã‚‹ã€‚åŒã˜å称ã®ç‚¹ãŒã™ã§ã«å­˜åœ¨ã™ã‚‹å ´åˆã¯ï¼ŒæŒ‡å®šã—ãŸä½ç½®ã«ç§»å‹•ã—ã¦å›ºå®šç‚¹ã¨ã™ã‚‹ã€‚\\ - "free" ã‚’ã¤ã‘ã‚‹ã¨ï¼Œè‡ªç”±ç‚¹ï¼ˆãƒ‰ãƒ©ãƒƒã‚°ã§ç§»å‹•ã§ãる)ã¨ã™ã‚‹ã€‚åŒã˜å称ã®ç‚¹ãŒã™ã§ã«å­˜åœ¨ã™ã‚‹å ´åˆã¯ãªã«ã‚‚ã—ãªã„。\\ - \\ -ã€ä¾‹ã€‘ã„ãã¤ã‹è¨˜è¿°ä¾‹ã‚’示ã™ã€‚\\ -  \verb|Putpoint3d(["A",[2,1,3]]);|\\ -  \verb|Putpoint3d(["A",[1,1,1],"C",[1,0,1]],"fix");|\\ -  \verb|Putpoint3d(["A",[2,1,3]],"free");|\\ - \\ - ãªãŠï¼Œã“ã®é–¢æ•°ã¯å¹¾ä½•ç‚¹ã‚’作るもã®ã§ã‚り,TeXã«ã¯å‡ºåŠ›ã•ã‚Œãªã„。TeXã«ç‚¹ã‚’出力ã™ã‚‹ã«ã¯ï¼Œ\hyperlink{pointdata}{Pointdata()} ã¾ãŸã¯ \hyperlink{drwpt}{Drawpoint()}を併用ã™ã‚‹ã€‚\\ - 空間ã«ãŠã‘る点ã®åº§æ¨™ã¯ï¼Œç‚¹åã«"3d"を付加ã—ãŸåå‰ã®å¤‰æ•°ã«ä»£å…¥ã•ã‚Œã‚‹ã€‚ãŸã¨ãˆã°ï¼Œç‚¹Aã®åº§æ¨™ã¯A3dã§ã‚る。ã“ã‚Œã«ã‚ˆã‚Šï¼Œç‚¹ã®åº§æ¨™ã‚’å–å¾—ã§ãる。 - -\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} - -\hypertarget{readobj}{} -\item[関数] Readobj(ファイルå) -\item[機能] objファイルを読ã¿è¾¼ã‚€ï¼Ž -\item[説明] å°æž—・鈴木・三谷ã«ã‚ˆã‚‹å¤šé¢ä½“データ polyhedrons\_obj  を読ã¿è¾¼ã‚€ã€‚\\ -オプション㯠["size=n"] ã§ï¼Œnå€ã—ãŸãƒ‡ãƒ¼ã‚¿ã«ã™ã‚‹ã€‚è² ã®æ•°ã«ã™ã‚‹ã¨ä¸Šä¸‹ãŒå転ã•ã‚Œã‚‹ã€‚\\ -データã¯KeTCindyã®dataフォルダã®ä¸­ã«ã‚る。ã—ãŸãŒã£ã¦ï¼Œæ¬¡ã®ã‚ˆã†ãªã‚¹ã‚¯ãƒªãƒ—トを書ã。読ã¿è¾¼ã‚€ã®ã¯ä¸€åº¦ã ã‘ãªã®ã§ï¼Œ Draw スロットã§ã¯ãªãInitialization スロットã«ç½®ã‘ã°ã‚ˆã„ãŒï¼Œã‚³ãƒ¼ãƒ‰ã®å¯èª­æ€§ã‚’高ã‚ã‚‹ã«ã¯ Draw スロットã§ã‚‚よã„。 -\begin{verbatim} - Setdirectory( Dirhead+"/data/polyhedrons_obj"); - polydt=Readobj("r02.obj"); - Setdirectory(Dirwork); -\end{verbatim} -ã“ã‚Œã§ï¼Œr02.obj データãŒï¼Œå¤‰æ•° polydt ã«ä»£å…¥ã•ã‚Œã‚‹ã€‚\\ -ã“ã®å¤šé¢ä½“データã¯ï¼Œé ‚点リストã¨é¢ãƒªã‚¹ãƒˆã‹ã‚‰ãªã£ã¦ã„ã‚‹ãŒï¼Œé ‚点リストã¯åº§æ¨™ã®ãƒªã‚¹ãƒˆãªã®ã§ï¼Œèª­ã¿è¾¼ã‚“ã§è¡¨ç¤ºã™ã‚‹ã¨ãã«ã¯ï¼Œç‚¹ã®å称を v1,v2,・・・ ã¨ã™ã‚‹ã€‚\\ -読ã¿è¾¼ã‚“ã ã‚ã¨ã®ä½¿ã„方をå«ã‚ã¦ä¾‹ã‚’示ã™ã€‚\\ - -ã€ä¾‹ã€‘正八é¢ä½“ã‚’æã -\begin{verbatim} - Setdirectory( Dirhead+"/data/polyhedrons_obj"); - polydt=Readobj("r02.obj",["size=2"]); - Setdirectory(Dirwork); - VertexEdgeFace("1",polydt,["Edg=nogeo"]); - Nohiddenbyfaces("1","phf3d1"); -\end{verbatim} -   \input{Fig3d/readobj} - -\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} - -\hypertarget{reflectpoint3d}{} -\item[関数] Reflectpoint3d(座標,リスト) -\item[機能] 点ã®é¡æ˜ ç‚¹ã‚’求ã‚ã‚‹ -\item[説明] 第2引数ã®ã‚¿ã‚¤ãƒ—ã«ã‚ˆã‚Šï¼Œç‚¹ã«é–¢ã™ã‚‹é¡æ˜ ï¼Œç›´ç·šã«é–¢ã™ã‚‹é¡æ˜ ï¼Œé¢ã«é–¢ã™ã‚‹é¡æ˜ ã®ãã‚Œãžã‚Œã®ç‚¹ã®åº§æ¨™ã‚’è¿”ã™ã€‚\\ - \\ -ã€ä¾‹ã€‘点A,B,C,Dを空間ã«ã¨ã‚Šï¼Œç‚¹Aã®é¡æ˜ ç‚¹ã®åº§æ¨™ã‚’求ã‚る。\\ -  点Bã«é–¢ã™ã‚‹é¡æ˜ ç‚¹ã€€ã€€ã€€\verb|Reflectpoint3d(A3d,[B3d]);|\\ -  直線BCã«é–¢ã™ã‚‹é¡æ˜ ç‚¹ã€€\verb|Reflectpoint3d(A3d,[B3d,C3d]);|\\ -  平é¢BCDã«é–¢ã™ã‚‹é¡æ˜ ç‚¹ã€€\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ã™ã‚‹ -\item[説明] 第1引数ã®åº§æ¨™ã®ç‚¹ã‚’回転ã™ã‚‹ã€‚vecã¯å›žè»¢è»¸ã®æ–¹å‘ベクトル。中心点ã¯æ–¹å‘ベクトルã®å§‹ç‚¹ã€‚第4引数をçœç•¥ã—ãŸå ´åˆã¯åŽŸç‚¹ã¨ã™ã‚‹ã€‚\\ - \\ -ã€ä¾‹ã€‘点Aã‚’(0,-1,0) ã«ç½®ã„ãŸã¨ãã®è¨˜è¿°ä¾‹ã¨çµæžœï¼ˆæˆ»ã‚Šå€¤ï¼‰\\ -  \verb|Rotate3pt(A3d,[0,0,1],pi/2)|;     戻り値㯠[1,0,0]\\ -  \verb|Rotate3pt(A3d,[0,0,1],pi/2,[1,1,1]);| 戻り値ã¯[3,0,0]\\ - \\ - -\hypertarget{rotatedata3d}{} -\item[関数] Rotatedata3d(name,PDリスト,vec,角度,options) -\item[機能] プ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ã¨ã™ã‚‹ãƒ™ã‚¯ãƒˆãƒ«vec 周りã«å›žè»¢ã™ã‚‹ã€‚複数ã®ãƒ—ロットデータをã¾ã¨ã‚ã¦å›žè»¢ã™ã‚‹ã“ã¨ãŒã§ãる。\\ -options ã¨ã—ã¦ï¼Œä¸­å¿ƒç‚¹ï¼ˆvecã®å§‹ç‚¹ï¼‰ï¼Œç·šç¨®ã‚’指定ã™ã‚‹ã“ã¨ãŒã§ãる。\\ - \\ -ã€ä¾‹ã€‘コード例ã¨çµæžœã‚’示ã™ã€‚ -\begin{verbatim} - Xyzax3data("","x=[-5,4]","y=[-5,5]","z=[-5,4]",["a","O"]); - Putpoint3d(["A",[0,-2,0],"B",[2,-2,0],"C",[1,-2,2],"D",[1,-2,3]],"fix"); - Spaceline("1",[A,B,C,A]); - Spaceline([C,D]); - Rotatedata3d("1",["sl3d1","CD3d"],[0,0,1],pi/2,["dr,2"]); - Letter([A,"s","A",B,"w","B",C,"ne","C",D,"ne","D"]); -\end{verbatim} -ã“れを\\ - \verb|Rotatedata3d("1",["sl3d1","CD3d"],[0,0,1],pi/2,[[1,0,0],"dr,2"]);|\\ -ã¨ã—ãŸå ´åˆãŒå³å›³ã§ã‚る。\\ - - \input{Fig3d/rotatedata3d01} \input{Fig3d/rotatedata3d02}\\ - -\hypertarget{sf3data}{} -\item[関数] Sf3data(name,リスト,options) -\item[機能] 陰線処ç†ãªã—ã®æ›²é¢ã‚’ワイヤーフレームモデルã§æã -\item[説明] リストã¯ï¼Œé–¢æ•°å¼ã¨å®šç¾©åŸŸï¼Œå¢ƒç•ŒæŒ‡å®šã‚’ãã‚Œãžã‚Œæ–‡å­—列ã«ã—ãŸã‚‚ã®ã®ãƒªã‚¹ãƒˆã€‚\\ -optionsã¯ï¼Œè§£åƒåº¦ï¼ˆå„変数ã«å¯¾å¿œã™ã‚‹åˆ†å‰²æ•°ï¼‰ã¨ãƒ¡ãƒƒã‚·ãƒ¥ã®å¯†åº¦ï¼ˆç¸¦æ¨ªï¼‰ã€‚\\ -解åƒåº¦ã¯ï¼Œ"Num=[a,b]" ã§æŒ‡å®šã€‚åˆæœŸå€¤ã¯a,bã¨ã‚‚25\\ -メッシュ密度ã¯ï¼Œ"Wire=[a,b]" ã§æŒ‡å®šã€‚åˆæœŸå€¤ã¯a,bã¨ã‚‚20\\ -境界ã®æŒ‡å®šã¯"ewsn"ã§è¡Œã†ã€‚\\ -関数å¼ã®ãƒ‘ターンã¯ã¤ãŽã®3通り。\\ - \\ -(1) $z=f(x,y)$\\ - ã€ä¾‹ã€‘:$z=x^2-y^2$を定義域$x=[-2,2],y=[-2,2]$ ã§æç”»ã™ã‚‹ã€‚\\ -   \verb|Sf3data("1",["z=x^2-y^2","x=[-2,2]","y=[-2,2]"])|;\\ -       \input{Fig3d/saddle1}\\ - ã€ä¾‹ã€‘:åŒã˜ã,解åƒåº¦ã‚’x,yã¨ã‚‚10,メッシュã®æ•°ã‚’縦横ã¨ã‚‚10ã«ã™ã‚‹ã€‚\\ -   解åƒåº¦ï¼Œãƒ¡ãƒƒã‚·ãƒ¥å¯†åº¦ã¨ã‚‚下ã’ã‚‹ã®ã§ç²—ã„æç”»ã¨ãªã‚‹ã€‚\\ -   \verb|Sf3data("1",["z=x^2-y^2","x=[-2,2]","y=[-2,2]"],|\\ -      \verb|["Num=[10,10]","Wire=[10,10]"]);|\\ - \\ -(2) $z=f(x,y),x=g(R,T),y=h(R,T)$\\ -  x,y ã®åª’介変数 r,t ã¯å¤§æ–‡å­—ã«ã™ã‚‹ã€‚\\ - ã€ä¾‹ã€‘:次図左\\ -   \verb|fd=["z=4-(x^2+y^2)","x=R*cos(T)","y=R*sin(T)","R=[0,2]","T=[0,2*pi]"];|\\ -   \verb|Sf3data("1",fd);|\\ - ã€ä¾‹ã€‘:次図å³\\ -   \verb|fd=["z=sin(sqrt(abs(x^2+y^2)))","x=r*cos(t)","y=r*sin(t)",|\\ -         \verb|"r=[0,3]","t=[0,2*pi]"];|\\ -   \verb|Sf3data("1",fd);|\\ -\\ - \input{Fig3d/parabola}  \input{Fig3d/sf3ddata3}\\ -\\ -(3) $x=f(u,v),y=g(u,v),z=h(u,v),$\\ - ã“ã®å ´åˆï¼Œ(2)ã¨åŒºåˆ¥ã™ã‚‹ãŸã‚ã«ï¼Œ"p" を先頭ã«ã¤ã‘ã¦ãŠã。\\ - ã€ä¾‹ã€‘çƒé¢\\ -  \verb|fd=["p","x=2*sin(u)*cos(v)","y=2*sin(u)*sin(v)","z=2*cos(u)",|\\ -     \verb|"u=[0,pi]","v=[0,2*pi]"];|\\ -  \verb|Sf3data("1",fd);|\\ - -      \input{Fig3d/sf3ddata4}\\ - -\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} - -\hypertarget{sfbdparadata}{} -\item[関数] Sfbdparadata(name,å¼,options1,options2) -\item[機能] 空間曲é¢ã®é™°ç·šå‡¦ç† -\item[説明] 曲é¢ã«ã¤ã„ã¦é™°ç·šå‡¦ç†ã‚’è¡Œã†ã€‚ - 曲é¢ã®å¼ã¯Sf3data()ã®å ´åˆã¨åŒã˜ã€‚ãŸã ã—,(2) ã¨(3)ã®ãƒ‘ターンã§ã¯å¼ã®æœ€å¾Œã«å¢ƒç•Œã®æŒ‡å®š ewns を明示ã™ã‚‹å¿…è¦ãŒã‚る。(3)ã§ã¯å¢ƒç•Œã®æŒ‡å®šã‚’" "(中ã¯åŠè§’スペース)ã¨ã™ã‚‹ã€‚çœç•¥ã™ã‚‹ã¨ä¸è¦ãªå¢ƒç•Œç·šãŒè¡¨ç¤ºã•ã‚Œã‚‹ã“ã¨ãŒã‚る。\\ -options1ã¯ï¼Œ"Wait=n","r","m",線種。Wait ã®åˆæœŸå€¤ã¯30。\\ - "r","m"ã«é–¢ã—ã¦ã¯ï¼Œã‚ªãƒ—ションãªã—ã¾ãŸã¯ï¼Œâ€â€ ã®ã¨ã\\ -  i) データファイルãŒãªã‘ã‚Œã°ï¼Œæ–°ã—ã作る\\ -  ii) データファイルãŒæ—¢ã«ã‚ã‚Œã°ãれを読ã¿è¾¼ã‚€\\ - "m" ã®ã¨ã,強制的ã«ãƒ‡ãƒ¼ã‚¿ãƒ•ã‚¡ã‚¤ãƒ«ã‚’作り直ã™ã€‚\\ - "r" ã®ã¨ã,ã™ã§ã«ã‚るデータファイルを読ã¿è¾¼ã‚€ã€‚\\ -options2ã¯ï¼Œé™°ç·šã«é–¢ã™ã‚‹optionã§ï¼Œ"nodisp" ã¾ãŸã¯ 線種。"nodisp" ã«ã™ã‚‹ã¨é™°ç·šã¯æ¶ˆåŽ»ã•ã‚Œã‚‹ãŸã‚,輪郭線ã ã‘ãŒæã‹ã‚Œã‚‹ã“ã¨ã«ãªã‚‹ï¼ˆãƒ‡ãƒ•ã‚©ãƒ«ãƒˆï¼‰ã€‚options2 ã ã‘を指定ã™ã‚‹å ´åˆã¯ï¼Œoptions1 を空リストã«ã—ã¦ã¤ã‘ã‚‹å¿…è¦ãŒã‚る。\\ - - \textcolor{red}{ã€æ³¨æ„】} ã“ã®å‡¦ç†ã¯Scilabã§è¡Œã†ãŒï¼Œéžå¸¸ã«æ™‚é–“ãŒã‹ã‹ã‚‹ãŸã‚,ã“ã®é–¢æ•°ã‚’実行ã—ãŸçŠ¶æ…‹ã§ç”»é¢ä¸Šã®ã‚¹ãƒ©ã‚¤ãƒ€ã‚’å‹•ã‹ã—ãŸã‚Šã—ãªã„ã“ã¨ã€‚何ã‹æ“作を行ã†å ´åˆã¯ï¼Œã„ã£ãŸã‚“行頭ã«//を書ã„ã¦ã‚³ãƒ¡ãƒ³ãƒˆåŒ–ã—ã¦ã‹ã‚‰è¡Œã†ã€‚\\ - -ã€ä¾‹ã€‘サドルé¢\\ -陰線を消去ã—ã¦è¡¨ç¤ºï¼ˆãƒ‡ãƒ•ã‚©ãƒ«ãƒˆï¼‰ï¼ˆä¸‹å›³å·¦ï¼‰ -\begin{verbatim} - fd=["x=x^2-y^2","x=[-2,2]","y=[-2,2]"]; - Sfbdparadata("1",fd); -\end{verbatim} -全体を実線ã§å¤ªã‚ã«ã—ã¦ï¼Œé™°ç·šã‚’点線ã§è¡¨ç¤ºï¼ˆä¸‹å›³å³ï¼‰ -\begin{verbatim} - fd=["x=x^2-y^2","x=[-2,2]","y=[-2,2]"]; - Sfbdparadata("1",fd,["dr,2"],["do"]); -\end{verbatim} -   \input{Fig3d/sfbdpara01}  \input{Fig3d/sfbdpara02} - -ã€ä¾‹ã€‘放物é¢\\ -デフォルト(下図左) -\begin{verbatim} - fd=["z=4-(x^2+y^2)","x=R*cos(T)","y=R*sin(T)","R=[0,2]","T=[0,2*pi]","e"]; - Sfbdparadata("1",fd); -\end{verbatim} -é™°ç·šã‚’ç ´ç·šã§è¡¨ç¤ºï¼ˆä¸‹å›³å³ï¼‰ -\begin{verbatim} - fd=["z=4-(x^2+y^2)","x=R*cos(T)","y=R*sin(T)","R=[0,2]","T=[0,2*pi]","e"]; - Sfbdparadata("1",fd,[],["da"]); -\end{verbatim} -   \input{Fig3d/sfbdpara03}  \input{Fig3d/sfbdpara04 -} - -\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} - -\hypertarget{skeletonparadata}{} -\item[関数] Skeletonparadata(name,PDリスト,PDリスト,option) -\item[機能] 陰線処ç†ï¼ˆã‚¹ã‚±ãƒ«ãƒˆãƒ³å‡¦ç†ï¼‰ã‚’ãŠã“ãªã† -\item[説明] æç”»ã•ã‚Œã¦ã„ã‚‹ç·šã¨è»¸ã«ã¤ã„ã¦é™°ç·šå‡¦ç†ã‚’ãŠã“ãªã†ã€‚\\ -第2引数ã®ç·šï¼ˆãƒ—ロットデータ)ãŒï¼Œç¬¬ï¼“引数ã®ç·šï¼ˆãƒ—ロットデータ)ã«ã‚ˆã£ã¦éš ã•ã‚Œã‚‹éƒ¨åˆ†ã‚’消去ã™ã‚‹ã€‚第2,第3引数をçœç•¥ã—ãŸå ´åˆã¯ï¼Œã™ã¹ã¦ã®ç·šã«ã¤ã„ã¦ï¼Œäº’ã„ã®é™°ç·šå‡¦ç†ã‚’ãŠã“ãªã†ã€‚optionã§æ¶ˆåŽ»ã™ã‚‹éƒ¨åˆ†ã®é•·ã•ã‚’指定ã§ãる。\\ - \\ -ã€ä¾‹ã€‘螺旋ã¨ç·šåˆ†ï¼Œåº§æ¨™è»¸ã®é™°ç·šå‡¦ç†\\ -次ã®ã‚ˆã†ã«èžºæ—‹ã¨ç·šåˆ†ï¼Œåº§æ¨™è»¸ã‚’æã„ã¦ãŠã。 -\begin{verbatim} - Xyzax3data("","x=[-5,5]","y=[-5,4]","z=[-5,3]"); - Putpoint3d(["A",[0,-2,-2]],"fix"); - Putpoint3d(["B",[-1,1,3]],"fix"); - Spaceline([A,B]); - Spacecurve("1","[2*cos(t),2*sin(t),0.2*t]","t=[0,4*pi]",["Num=100"]); -\end{verbatim} -座標軸ã®ãƒ—ロットデータ㯠ax3d,線分㯠AB3d,螺旋㯠sc3d1 ã§ã‚る。ã“ã‚Œã«å¯¾ã—,\\ - \verb|Skeletonparadata("1");|\\ -   æç”»ã•ã‚Œã¦ã„ã‚‹ç·šã¨è»¸ã«ã¤ã„ã¦é™°ç·šå‡¦ç†ã‚’ãŠã“ãªã†ã€‚(図左)\\ - \verb|Skeletonparadata("1",[2]);|\\ -   é‡ãªã£ãŸéƒ¨åˆ†ã®ç©ºãã‚’2ã«ã™ã‚‹ã€‚(図中央)\\ - \verb|Skeletonparadata("1",["AB3d","ax3d"],["sc3d1"]);|\\ -   螺旋ã«ã‚ˆã£ã¦éš ã‚Œã‚‹éƒ¨åˆ†ã ã‘消去ã™ã‚‹ã€‚(図å³ï¼‰\\ - -\input{Fig3d/skeletonparadata01}  \input{Fig3d/skeletonparadata02} -  \input{Fig3d/skeletonparadata03} - -ã“ã®ã»ã‹ï¼Œ\\ - \verb|Skeletonparadata("1",["AB3d","ax3d"],["sc3d1"],[2]);|\\ - \verb|Skeletonparadata("1",["AB3d"],["ax3d","sc3d1"]);|\\ -ã‚‚å¯èƒ½ã§ã‚る。 - -\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} - -\hypertarget{spacecurve}{} -\item[関数] Spacecurve(name,å¼,定義域,options) -\item[機能] 空間曲線をæã -\item[説明] 媒介変数ã§è¡¨ã•ã‚ŒãŸæ›²ç·šã‚’æã。optionã¯è§£åƒåº¦ Num\\ - \\ -ã€ä¾‹ã€‘螺旋をæã\\ -  \verb|Spacecurve("1","[2*cos(t),2*sin(t),0.2*t]","t=[0,4*pi]",["Num=100"]);|\\ - \\ -     \input{Fig3d/rasen}\\ - -\hypertarget{spaceline}{} -\item[関数] Spaceline(リスト) -\item[機能] 折れ線をæã -\item[説明] 点ã®å称ã¾ãŸã¯åº§æ¨™ã®ãƒªã‚¹ãƒˆã‚’与ãˆã¦æŠ˜ã‚Œç·šã‚’æã。平é¢ã§ã® Listplot() ã«ã‚ãŸã‚‹ã€‚\\ -ã€ä¾‹ã€‘Spaceline("1",[[2,5,1],[4,2,3]]);  指定ã•ã‚ŒãŸï¼’点をçµã‚“ã ç·šåˆ†ã‚’æã。\\ -  Spaceline([A,B,C,A]); 作図ã•ã‚Œã¦ã„る2点A,B,Cã‚’çµã‚“ã ä¸‰è§’形をæã。\\ -  options ã¯ç·šç¨®ï¼ˆdr,da,do)\\ - \\ - -\hypertarget{translatedata3d}{} -\item[関数] Translatedata3d(name,PD,平行移動é‡) -\item[機能] 空間プロットデータを平行移動 -\item[説明] PDã§è¡¨ã•ã‚Œã‚‹å›³å½¢ã‚’,平行移動ã™ã‚‹ã€‚\\ - \\ -ã€ä¾‹ã€‘曲線 sc3d1 ã‚’y軸方å‘ã«ï¼’ã ã‘平行移動ã™ã‚‹ã€‚\\ -  \verb|Translatedata3d("1",["sc3d1"],[0,2,0]);|\\ -  çµæžœã¨ã—ã¦ï¼Œã‚‚ã¨ã®æ›²ç·šã¨å¹³è¡Œç§»å‹•ã—ãŸæ›²ç·šã®ï¼’ã¤ãŒæã‹ã‚Œã‚‹ã€‚\\ - \\ -ã€ä¾‹ã€‘多é¢ä½“ã®å¹³è¡Œç§»å‹•\\ - VertexEdgeFace() ã§æã„ãŸå¤šè§’å½¢ã¯ã“ã®é–¢æ•°ã§ã¯å¹³è¡Œç§»å‹•ã§ããªã„ã®ã§ï¼Œé¢ãƒ‡ãƒ¼ã‚¿ã‚’直接æ“作ã—ã¦å¹³è¡Œç§»å‹•ã‚’è¡Œã†ã€‚\\ - ãŸã¨ãˆã°ï¼Œå°æž—・鈴木・三谷ã«ã‚ˆã‚‹å¤šé¢ä½“データ polyhedrons obj を用ã„ã¦æ­£å…«é¢ä½“ã‚’æãå ´åˆï¼Œæ¬¡ã®ã‚ˆã†ã«ã™ã‚‹ã€‚$y$軸方å‘ã«ï¼’ã ã‘平行移動ã™ã‚‹å ´åˆã§ã‚る。\\ -\begin{verbatim} - Setdirectory( Dirhead+"/data/polyhedrons_obj"); - phd=Readobj("r02.obj",["size=2"]); - Setdirectory(Dirwork); - dn=length(phd_1); - repeat(dn,s,phd_1_s=phd_1_s+[0,2,0]); - VertexEdgeFace("1",phd,["Edg=nogeo"]); -\end{verbatim} -   \input{Fig3d/translate01} - -\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} - -\hypertarget{translatept3d}{} -\item[関数] Translatept3d(座標,平行移動é‡) -\item[機能] 空間点を平行移動 -\item[説明] 点を平行移動ã™ã‚‹ã€‚\\ - \\ -ã€ä¾‹ã€‘点A(1,0,0) ã‚’(-1,1,1)ã ã‘平行移動ã—ãŸç‚¹ã‚’Bã¨ã™ã‚‹ã€‚点Aã®ç©ºé–“座標㯠A3d ã§è¡¨ã•ã‚Œã‚‹ã€‚ -\begin{verbatim} - Putpoint3d(["A",[1,0,0]],"fix"); - pt=Translatept3d(A3d,[-1,1,1]); - Putpoint3d(["B",pt],"fix"); -\end{verbatim} - \\ -\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} - -\hypertarget{vertexedgeface}{} -\item[関数] VertexEdgeFace(é¢ãƒ‡ãƒ¼ã‚¿,options) -\item[機能] 多é¢ä½“ã®é¢ãƒ‡ãƒ¼ã‚¿ã‚’用ã„ã¦å¤šé¢ä½“ã‚’æã -\item[説明] é¢ãƒ‡ãƒ¼ã‚¿ã¯ï¼Œé ‚点リストã¨ï¼Œé¢ãƒªã‚¹ãƒˆã‹ã‚‰ãªã‚‹ã€‚é¢ãƒªã‚¹ãƒˆã¯ï¼Œå„é¢ã‚’構æˆã™ã‚‹é ‚点を,外å´ã‹ã‚‰è¦‹ã¦å時計回り(左回り)ã«ä¸¦ã¹ãŸãƒªã‚¹ãƒˆã§ã‚る。\\ -ãŸã¨ãˆã°ï¼Œå››é¢ä½“ABCDã®é¢ãƒ‡ãƒ¼ã‚¿ã¯ï¼Œ[[A,B,C,D],[[1,2,3],[1,2,4],[1,3,4],[2,3,4]]] ã¨ãªã‚‹ã€‚\\ -4点A,B,C,Dã‚’ã¨ã£ã¦ãŠã,ã“ã®ãƒªã‚¹ãƒˆã‚’引数ã«ä¸Žãˆã‚‹ã¨ï¼Œå››é¢ä½“ã®è¾ºãŒæã‹ã‚Œã‚‹ã€‚\\ -ã“ã®ã¨ã,option ãŒãªã‘ã‚Œã°ï¼ŒCinderellaã®å¹¾ä½•è¦ç´ ã¨ã—ã¦è¾ºãŒæã‹ã‚Œã‚‹ãŒï¼Œãã‚Œã ã‘ã§ã¯TeXã«ã¯æ›¸ã出ã•ã‚Œãªã„ã®ã§æ³¨æ„ãŒå¿…è¦ã§ã‚る。(変数未定義ã®ã‚¨ãƒ©ãƒ¼ã«ãªã‚‹) TeXã«æ›¸ã出ã™ã«ã¯ï¼Œoptionã¨ã—㦠["Edg=nogeo"] ã‚’ã¤ã‘る。ã“ã®ã¨ãã¯å„辺ã¯å¹¾ä½•è¦ç´ ã«ãªã‚‰ãªã„。\\ -ã¾ãŸï¼Œ"Pt=free" optionã‚’ã¤ã‘ã‚‹ã¨ï¼Œé ‚点ã¯è‡ªç”±ç‚¹ã¨ãªã‚Šï¼Œãƒžã‚¦ã‚¹ãƒ‰ãƒ©ãƒƒã‚°ã§å‹•ã‹ã™ã“ã¨ãŒã§ãる。\\ -生æˆã•ã‚Œã‚‹ãƒ—ロットデータã¯ï¼Œ\\ -phv3d:頂点ã®ãƒªã‚¹ãƒˆ\\ -phe3d:辺ã®ãƒªã‚¹ãƒˆ\\ -phf3d:é¢ãƒªã‚¹ãƒˆ\\ -ãªãŠï¼Œãã‚Œãžã‚Œæœ«å°¾ã«nameãŒä»˜åŠ ã•ã‚Œã‚‹ã€‚\\ - \\ -ã€ä¾‹ã€‘:正四é¢ä½“ã‚’æã -\begin{verbatim} - Putpoint3d("A",2*[-1,-1/sqrt(3),0],"fix"); - Putpoint3d("B",2*[1,-1/sqrt(3),0],"fix"); - Putpoint3d("C",2*[0,sqrt(3)-1/sqrt(3),0],"fix"); - Putpoint3d("D",2*[0,0,sqrt(3)],"fix"); - phd=Concatobj([[A,B,C],[A,B,D],[A,C,D],[B,C,D]]); - VertexEdgeFace("1",phd,["Edg=nogeo"]); -\end{verbatim} -    \input{Fig3d/vertex01} - -\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} - -\hypertarget{wireparadata}{} -\item[関数] Wireparadata(name,PD,å¼,æ•´æ•°,æ•´æ•°,optons1,options2) -\item[機能] 曲é¢ã®ãƒ¯ã‚¤ãƒ¤ãƒ•ãƒ¬ãƒ¼ãƒ ã‚’陰線処ç†ã—ã¦æã -\item[説明] PDã¯ï¼Œç¬¬ï¼“引数ã®å¼ã§æã„ãŸãƒ¯ã‚¤ãƒ¤ãƒ•ãƒ¬ãƒ¼ãƒ ãƒ¢ãƒ‡ãƒ«ã®ãƒ—ロットデータå。第4,第5引数ã¯åˆ†å‰²ç·šã®æ•°ã€‚\\ -options1 ã«ã¯ "r","m","Wait=n" ãŒæŒ‡å®šã§ãる。Wait ã®åˆæœŸå€¤ã¯30。\\ - "r","m"ã«é–¢ã—ã¦ã¯ï¼Œã‚ªãƒ—ションãªã—ã¾ãŸã¯ï¼Œâ€â€ ã®ã¨ã\\ -  i) データファイルãŒãªã‘ã‚Œã°ï¼Œæ–°ã—ã作る\\ -  ii) データファイルãŒæ—¢ã«ã‚ã‚Œã°ãれを読ã¿è¾¼ã‚€\\ - "m" ã®ã¨ã,強制的ã«ãƒ‡ãƒ¼ã‚¿ãƒ•ã‚¡ã‚¤ãƒ«ã‚’作り直ã™ã€‚\\ - "r" ã®ã¨ã,ã™ã§ã«ã‚るデータファイルを読ã¿è¾¼ã‚€ã€‚\\ -optons2 ã«ã¯é™°ç·šã®è¡¨ç¤ºæ–¹æ³•ã«ã¤ã„㦠"nodisp" ã¾ãŸã¯ç·šç¨® ãŒã‚る。デフォルトã¯"nodisp" 。何も指定ã—ãªã„ã¨ãã¯ï¼Œ[""] (空文字)を書ã„ã¦ãŠã。\\ -曲é¢ã®é™°ç·šå‡¦ç†ã‚’è¡Œã†ã®ã§ï¼ŒSfbdparadata() ã¨ãƒšã‚¢ã§ä½¿ã†ã€‚\\ - \\ - \textcolor{red}{ã€æ³¨æ„】} \\ - ã“ã®å‡¦ç†ã¯Scilabã§è¡Œã†ãŒï¼ŒSfbdparadata() ã¨ãƒšã‚¢ã§ä½¿ã†ãŸã‚ã«éžå¸¸ã«æ™‚é–“ãŒã‹ã‹ã‚‹ã€‚コンピュータã®æ€§èƒ½ã«ã‚‚よるãŒï¼’分以上ã‹ã‹ã“ã¨ã‚‚ã‚る。ã—ãŸãŒã£ã¦ï¼Œã“ã®é–¢æ•°ã‚’実行ã—ãŸçŠ¶æ…‹ã§ç”»é¢ä¸Šã®ã‚¹ãƒ©ã‚¤ãƒ€ã‚’å‹•ã‹ã—ãŸã‚Šã—ãªã„ã“ã¨ã€‚何ã‹æ“作を行ã†å ´åˆã¯ï¼Œã„ã£ãŸã‚“行頭ã«//を書ã„ã¦ã‚³ãƒ¡ãƒ³ãƒˆåŒ–ã—ã¦ã‹ã‚‰è¡Œã†ã€‚çƒé¢ã‚„トーラスã®ã‚¿ã‚¤ãƒ—ã§ã¯ï¼ŒTexview ã‚„ Exekc ボタンã®å応もéˆããªã‚‹ã€‚Exekc ãŒå‹•ä½œã—ãªã„(タイムアウト)場åˆã¯ï¼Œkc.sh(Mac) / kc.bat(Windows)を直接起動ã™ã‚Œã° TeX ã®å›³ãŒã§ãる。\\ - \\ -ã€ä¾‹ã€‘å¼ã®ã‚¿ã‚¤ãƒ—別ã«ä¾‹ã‚’示ã™ã€‚\\ - \\ -サドルé¢ï¼šä¸‹å›³å·¦ -\begin{verbatim} - fd=["z=x^2-y^2","x=[-2,2]","y=[-2,2]"]; - Sfbdparadata("1",fd); - Wireparadata("1","sfbd3d1",fd,4,5,[""]); -\end{verbatim} - \\ -回転放物é¢ï¼šä¸‹å›³ä¸­å¤® -\begin{verbatim} - fd=["z=4-(x^2+y^2)","x=r*cos(t)","y=r*sin(t)","r=[0,2]","t=[0,2*pi]","e"]; - Sfbdparadata("1",fd); - Wireparadata("1","sfbd3d1",fd,5,7,[""]); -\end{verbatim} - \\ -çƒé¢ï¼šä¸‹å›³å³\\ - ã“ã®ã‚¿ã‚¤ãƒ—ã§ã¯ï¼Œåª’介変数形å¼ã®è­˜åˆ¥ã®ãŸã‚,先頭㫠"p" ã‚’ã¤ã‘ã¦ãŠãã¨ã‚ˆã„。 -\begin{verbatim} - fd=["p","x=2*sin(u)*cos(v)","y=2*sin(u)*sin(v)","z=2*cos(u)","u=[0,pi]", -   "v=[0,2*pi]","s"]; - Sfbdparadata("1",fd); -  Wireparadata("1","sfbd3d1",fd,12,12,[""]); -\end{verbatim} - \\ -\input{Fig3d/wirepara1} \input{Fig3d/wirepara2} \input{Fig3d/wirepara3}\\ - \\ -ã€ä¾‹ã€‘çƒé¢ã§åº§æ¨™è»¸ã‚’陰線処ç†ã—ã¦ç‚¹ç·šã§è¡¨ã™ã€‚(次図左) -\begin{verbatim} - fd=["p","x=2*sin(u)*cos(v)","y=2*sin(u)*sin(v)","z=2*cos(u)","u=[0,pi]", -   "v=[0,2*pi]","s"]; - Sfbdparadata("1",fd); - Wireparadata("1","sfbd3d1",fd,12,12,[""]); - Crvsfparadata("1","ax3d","sfbd3d1",fd,[],["do"]); -\end{verbatim} -ã€ä¾‹ã€‘トーラスをæã(次図å³ï¼‰ -\begin{verbatim} - fd=["p","x=(2+cos(u))*cos(v)","y=(2+cos(u))*sin(v)","z=sin(u)", -   "u=[0,2*pi]","v=[0,2*pi]","s"]; - Sfbdparadata("1",fd); - Wireparadata("1","sfbd3d1",fd,12,12,[""]); -\end{verbatim} - \\ -  \input{Fig3d/wirepara4}  \input{Fig3d/wirepara5}\\ - -\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} - \\ -\hypertarget{xyzax3data}{} -\item[関数] Xyzax3data(name,xã®ç¯„囲,yã®ç¯„囲,zã®ç¯„囲,options) -\item[機能] 座標軸をæã -\item[説明] æç”»é¢ã«åº§æ¨™è»¸ã‚’æã。nameã¯ç©ºæ–‡å­—列ã§ã‚ˆã„。プロットデータ ax3d ãŒä½œæˆã•ã‚Œã‚‹ã€‚option ã¯æ¬¡ã®2ã¤ã€‚\\ -矢ã˜ã‚Šï¼š"an":nã¯æ•°å­—ã§çŸ¢ã˜ã‚Šã®å¤§ãã•ã€‚nã¯ãªãã¦ã‚‚よã„。\\ -原点O:"Onesw":neswã¯å¾®å°ä½ç½®ã€‚数字も付ã‘られる。neswã‚’ã¤ã‘ãªã„å ´åˆã®åˆæœŸå€¤ã¯sw。\\ -ã€ä¾‹ã€‘デフォルトã®åº§æ¨™è»¸\\ -    \verb|Xyzax3data("","x=[-5,5]","y=[-5,5]","z=[-5,5]");|\\ -   矢ã˜ã‚Šã‚’ã¤ã‘ã‚‹\\ -    \verb|Xyzax3data("","x=[-5,5]","y=[-5,5]","z=[-5,5]","a");|\\ -   矢ã˜ã‚Šã‚’大ããã™ã‚‹\\ -    \verb|Xyzax3data("","x=[-5,5]","y=[-5,5]","z=[-5,5]",["a2"]);|\\ -   原点ã®Oを表示ã™ã‚‹ã€‚\\ -    \verb|Xyzax3data("","x=[-5,5]","y=[-5,5]","z=[-5,5]",["O"]);|\\ -   原点ã®Oã®ä½ç½®ã‚’調整ã—ã¦å³ä¸Šã«è¡¨ç¤ºã™ã‚‹ã€‚ã‚„ã˜ã‚Šã‚‚ã¤ã‘る。\\ -    \verb|Xyzax3data("","x=[-5,5]","y=[-5,5]","z=[-5,5]",["a","Oe2n2"]);|\\ - -ã€æ³¨æ„】Putaxes3d() ã§ç‚¹ã‚’å–ã‚‹ã¨åŽŸç‚¹ã«ç‚¹OãŒä½œæˆã•ã‚Œã‚‹ã€‚ã“ã®ç‚¹åOã¨è¡¨ç¤ºãŒé‡è¤‡ã™ã‚‹ã®ãŒç…©ã‚ã—ã„å ´åˆã¯ï¼Œä½œå›³å¾Œã«ã“ã®optionã‚’ã¤ã‘ã¦ã‹ã‚‰å‡ºåŠ›ã™ã‚‹ã¨ã‚ˆã„。\\ - - -\hypertarget{xyzcoord}{} -\item[関数] Xyzcoord(P.x,P.y,Pz.y) -\item[機能] 主副画é¢ã§æ±ºã¾ã‚‹ç‚¹ã®åº§æ¨™ -\item[説明] Cinderellaã®æç”»é¢ä¸Šã®ç‚¹ãŒè¡¨ã™ç©ºé–“座標を求ã‚ã‚‹\\ - 点Pã«ã¤ã„ã¦ï¼Œä¸»ç”»é¢ã®ç‚¹ï¼°ã«å¯¾å¿œã™ã‚‹ã®ãŒå‰¯ç”»é¢ã®Pzã§ã‚る。点Pã®ï¼’次元座標ã¯P.x,P.yã§ï¼ŒPzã®y座標ã¯Pz.yã§è¡¨ã•ã‚Œã‚‹ã€‚ã“れを引数ã¨ã—ã¦ä¸Žãˆã‚‹ã¨ï¼Œç‚¹ï¼°ã®ç©ºé–“座標ãŒè¿”ã•ã‚Œã‚‹ã€‚\\ - \\ -ã€ä¾‹ã€‘点Aをドラッグã—ã¦å‹•ã‹ã—ãŸã¨ã,Aã®åº§æ¨™ã‚’求ã‚る。\\ - \verb|println(Xyzcoord(A.x,A.y,Az.y));|\\ - ã«ã‚ˆã‚Šï¼Œã‚³ãƒ³ã‚½ãƒ¼ãƒ«ã«åº§æ¨™ãŒè¡¨ç¤ºã•ã‚Œã‚‹ã€‚\\ - -\end{description} -\newpage -% 逆引辞典 ================================== -\section{逆引辞典} - -幾何ã®ä½œå›³ã¯ï¼Œè£œåŠ©ç·šãªã©ã¯Cinderellaã®ä½œå›³ãƒ„ールã‹Cindyscriptを用ã„ã¦æã,TeXã«å‡ºåŠ›ã™ã‚‹ç·šã‚’KeTCindyã§æãã¨ï¼ŒåŠ¹çŽ‡ã®ã‚ˆã„作図ãŒã§ãる。 - -関数ã®ã‚°ãƒ©ãƒ•ã‚‚,Cindyscriptã§æãã‚‚ã®ã¨ï¼ŒTeXã«å‡ºåŠ›ã™ã‚‹KeTCindyã§æãã‚‚ã®ã‚’使ã„分ã‘ã‚‹ã¨ã‚ˆã„。 - -以下ã§ï¼Œã€Cinderella】ã¯ï¼ŒCinderellaã®ä½œå›³ãƒ„ールを用ã„ãŸæ画,ã€Cindyscript】ã¯Cindyscriptã®é–¢æ•°ï¼Œã€KeTCindy】ãŠã‚ˆã³ã€KeTCindy3D】ã¯KeTCindyã®é–¢æ•°ã‚’示ã™ã€‚\\ - -\subsection{点ã®ä½œå›³} -\subsubsection{点をã¨ã‚‹} - -\begin{tabbing} -12\=34567890123456789\=\kill\\ - -\>ã€Cinderella】 \>「点を加ãˆã‚‹ã€ãƒ„ール \includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/single-add.png} を用ã„ã‚‹\\ - \>ã€KeTCindy】  \>Drwpt(点),Drawpoint(点),Pointdata(name,リスト),Putpoint(name,座標),\\ - \>ã€KeTCindy3D】\>Drawpoint3d(座標),Putpoint3d(リスト),\\ -\end{tabbing} - -点をã¨ã‚‹é–¢æ•°ã¯ã„ãã¤ã‹ã‚る。Cinderellaã®æç”»é¢ä¸Šã«å˜ã«ç‚¹ã‚’表示ã™ã‚‹ã‚‚ã®ï¼Œå¹¾ä½•ç‚¹ã‚’作るもã®ï¼ŒTeXã«å‡ºåŠ›ã™ã‚‹ãŸã‚ã®ã‚‚ã®ï¼Œã¨ç”¨é€”ãŒç•°ãªã‚‹ã€‚ -Putpoint(),Putpoint3d()ã¯åº§æ¨™ã‚’与ãˆã¦å¹¾ä½•ç‚¹ã‚’作るãŒï¼Œä½œå›³ãƒ„ールã®ã€Œç‚¹ã‚’加ãˆã‚‹ã€ã§ä½œå›³ã—ã¦ãŠã„ã¦ã‚¹ã‚¯ãƒªãƒ—トã§åº§æ¨™ã‚’指定ã—ã¦ã‚‚よã„。 - - \\ -ã€ä¾‹ã€‘座標(1,1) ã«ç‚¹Aã‚’ã¨ã‚‹ã€‚\\ -  (方法1) ç£çŸ³ãƒ„ール \includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/snap.png} ã§ã‚¹ãƒŠãƒƒãƒ—モードã«ã—ã¦ãŠã,作図ツールã§ç‚¹ã‚’ã¨ã‚‹ã€‚\\ -  (方法2)KeTCindyã®é–¢æ•°ã§ \verb|Putpoint("A,[1,1])| ã¨ã™ã‚‹ã€‚ - -(方法1)ã§ã¯ï¼Œã“ã®ç‚¹ã¯è‡ªç”±ç‚¹ã¨ãªã‚‹ã€‚固定点ã«ã™ã‚‹ã«ã¯ï¼Œã‚¤ãƒ³ã‚¹ãƒšã‚¯ã‚¿ã§ã€Œãƒ”ンã§ç•™ã‚ã‚‹ã€ã«ã™ã‚‹ã€‚ã¾ãŸï¼Œç‚¹åã¯CinderellaãŒè‡ªå‹•çš„ã«ã¤ã‘ã‚‹ã®ã§ï¼Œå¤‰æ›´ã™ã‚‹ã«ã¯ï¼Œç‚¹ã‚’é¸æŠžã—ã¦ãŠã,インスペクタを開ã„ã¦ã€Œè¦ç´ ã®æƒ…å ±ã€ã§å¤‰æ›´ã™ã‚‹ã€‚ - -[1,1] ã®ã‚ˆã†ãªæ ¼å­ç‚¹ã§ãªã„å ´åˆã¯ï¼Œä½œå›³ãƒ„ールã§é©å½“ãªä½ç½®ã«ç‚¹ã‚’ã¨ã£ãŸã®ã¡ï¼ŒCindyscript㧠\verb|A.xy=[2,sqrt(3)]| ã®ã‚ˆã†ã«ã—ã¦åº§æ¨™ã‚’指定ã™ã‚‹ã€‚ - -(方法2)ã§ã¯ï¼Œã“ã®ç‚¹ã¯å›ºå®šç‚¹ã¨ãªã‚‹ã€‚自由点ã¨ã™ã‚‹ã«ã¯ \verb|Putpoint("A",[1,1],[A.x,A.y])| ã¨ã™ã‚‹å¿…è¦ãŒã‚る。 - -ã“れらã®æ–¹æ³•ã§ç‚¹ã‚’å–ã£ãŸã¨ã,画é¢ä¸Šã«ã¯ç‚¹ãŒè¡¨ç¤ºã•ã‚Œã‚‹ãŒTeXã®å›³ã«ã¯å‡ºåŠ›ã•ã‚Œãªã„。TeXã®å›³ã«å‡ºåŠ›ã™ã‚‹ã«ã¯ï¼ŒKeTCindyã®Drwpt()ã¾ãŸã¯ï¼ŒDrawpoint()を用ã„ã‚‹å¿…è¦ãŒã‚る。\\ - - 以下ã¯ï¼Œãã‚Œãžã‚Œã®é–¢æ•°ã«ã¤ã„ã¦ã®æ¯”較表ã§ã‚る。「æç”»ã€ã¯ç·‘色ã®ç‚¹ã§æç”»ã™ã‚‹ãŒå¹¾ä½•ç‚¹ã¯ä½œã‚‰ãªã„。\\ - \\ -     \input{Fig/poiintable} -\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} - -\subsubsection{点ã®å¤§ãã•ã‚’変ãˆã‚‹} - -\begin{tabbing} -12\=34567890123456\=\kill\\ - -\>ã€Cinderella】 \>インスペクタã®ã€Œè¡¨ç¤ºæ–¹æ³•ã€ã‚’使ã†\\ -\>ã€Cindyscript】 \>A.size=n\\ - \>ã€KeTCindy】 \>Ptsize(n),Setpt(n)\\ -\end{tabbing} - -インスペクタ,Cindyscriptã«ã‚ˆã‚‹ç‚¹ã®å¤§ãã•ã®è¨­å®šã¯ç”»é¢ä¸Šã«ã¯å映ã•ã‚Œã‚‹ãŒï¼ŒTeXã«ã¯æ›¸ã出ã•ã‚Œãªã„。逆ã«ï¼ŒKeTCindyã§è¨­å®šã—ãŸç‚¹ã®å¤§ãã•ã¯ï¼ŒCinderellaã®ç”»é¢ä¸Šã«ã¯å映ã•ã‚Œãªã„。ãã®ã“ã¨ã‚’考慮ã®ä¸Šï¼Œé©å®œä½¿ã„分ã‘ã‚‹å¿…è¦ãŒã‚る。画é¢ä¸Šã®ç‚¹ã®å¤§ãã•ã¨ï¼ŒTeXã®å›³ã®ç‚¹ã®å¤§ãã•ã¯é€£å‹•ã—ãªã„ã®ã§æ³¨æ„ãŒå¿…è¦ã§ã‚る。 - -KeTCindyã®æ画関数を使ã£ã¦ç‚¹ã‚’ã¨ã‚‹ã¨ãã¯ï¼Œ["size=n"]オプションをã¤ã‘ã¦å¤§ãã•ã‚’設定ã™ã‚‹ã“ã¨ã‚‚ã§ãる。 - -KeTCindyã§ã¯ï¼ŒDrwpt() ã¾ãŸã¯ Drawpoint() ã«ï¼ã‚ªãƒ—ションをã¤ã‘ã‚‹ã“ã¨ã§ç™½æŠœãã®ç‚¹ã‚’æãã“ã¨ãŒã§ãる。ãŸã ã—,ã“ã®å ´åˆï¼Œã“れよりã‚ã¨ã«æ›¸ã‹ã‚ŒãŸç·šã¯ç™½ã§æŠœã„ãŸã‚ã¨ã«æ›¸ã‹ã‚Œã¦ã—ã¾ã†ã®ã§ï¼Œè¨˜è¿°ã®é †ç•ªã‚’考慮ã™ã‚‹å¿…è¦ãŒã‚る。\\ -\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} - -\subsubsection{曲線上ã«ç‚¹ã‚’ã¨ã‚‹} - -\begin{tabbing} -12\=34567890123456789\=\kill\\ - -\>ã€Cinderella】 \>「点を加ãˆã‚‹ã€ãƒ„ールを用ã„ã‚‹\\ -\>ã€KeTCindy】  \>PutonCurve(name,PD,åˆæœŸå€¤)\\ -\>ã€KeTCindy3d】 \>PutonCurve3d(点å,PD)\\ -\end{tabbing} - -Cinderellaã®ä½œå›³ãƒ„ールã§æã„ãŸæ›²ç·šä¸Šã«ã¯ï¼Œã€Œç‚¹ã‚’加ãˆã‚‹ã€ãƒ„ールã§ç‚¹ã‚’ã¨ã‚‹ã“ã¨ã§ï¼Œãã®ç‚¹ã¯æ›²ç·šä¸Šã ã‘ã‚’å‹•ã‹ã™ã“ã¨ãŒã§ãるよã†ã«ãªã‚‹ï¼ˆã‚¤ãƒ³ã‚·ãƒ‡ãƒ³ãƒˆï¼‰ã€‚作図ツールã§æã„ãŸæ›²ç·šã§ãªã‘ã‚Œã°ã“ã®æ–¹æ³•ã§ã¯æ›²ç·šä¸Šã«ç‚¹ã¯å–ã‚Œãªã„。 - -Cindyscriptã§æã„ãŸæ›²ç·šã®å ´åˆï¼ŒãŸã¨ãˆã°ï¼Œé–¢æ•°$f(x)$ã®ã‚°ãƒ©ãƒ•ä¸Šã«ç‚¹ã‚’ç½®ãã«ã¯ï¼ŒA.y=[A.x,f(A.x)] ã®ã‚ˆã†ã«ã™ã‚Œã°ã‚ˆã„。(ã‚らã‹ã˜ã‚点を作図ã—ã¦ãŠã) - -KeTCindyã®PutonCurve()を使ã†ã¨ï¼Œãƒ—ロットデータを用ã„ã¦æ›²ç·šä¸Šã«ç‚¹ã‚’ã¨ã‚‹ã“ã¨ãŒã§ãる。ã¾ãŸï¼Œ -KeTCindyã§ç›´ç·šï¼Œç·šåˆ†ä¸Šã«å–ã‚ŠãŸã„å ´åˆã¯ï¼ŒPutonLine( ),PutonSeg( )を用ã„ã‚‹ã“ã¨ã‚‚ã§ãる。\\ -\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} - -\subsubsection{交点をã¨ã‚‹} -\begin{tabbing} -12\=34567890123456789\=\kill\\ - -\>ã€Cinderella】 \>「2ã¤ã®æ›²ç·šã®äº¤ç‚¹ã‚’求ã‚ã‚‹ã€ãƒ„ール \includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/intersection.png} を用ã„ã‚‹\\ - \>ã€KeTCindy】  \>Intersectcrvs(PD,PD), Crosspoint(name,PD,PD,リスト),\\ - \>        \> Putintersect(点å,PD,PD)\\ - \>ã€KeTCindy3D】  \>Intersectcrvsf(name,PD,å¼), IntersectsgpL(点å,線分,é¢,方法)\\ -\end{tabbing} - -Cinderellaã®ä½œå›³æ©Ÿèƒ½ã§ä½œå›³ã—ãŸå¹¾ä½•è¦ç´ ã®äº¤ç‚¹ã¯Cinderellaã®ã€Œï¼’ã¤ã®æ›²ç·šã®äº¤ç‚¹ã‚’求ã‚ã‚‹ã€ãƒ„ールを用ã„ã‚‹ã®ãŒç°¡ä¾¿ã§ã‚ã‚‹ãŒï¼Œé–¢æ•°ã®ã‚°ãƒ©ãƒ•ã‚„方程å¼ã«ã‚ˆã‚‹æ›²ç·šã®å ´åˆã¯ï¼ŒCinderellaã®ä½œå›³æ©Ÿèƒ½ã¯ä½¿ãˆãªã„ã®ã§ï¼ŒKeTCindyã®é–¢æ•°ã‚’使ã†ã“ã¨ã«ãªã‚‹ã€‚ - -KeTCindyã®é–¢æ•°ã¯ï¼“通りã‚ã‚‹ãŒï¼Œintersectcrvs() ã¯ï¼’曲線ã®äº¤ç‚¹ã®ãƒªã‚¹ãƒˆã‚’å–å¾—ã™ã‚‹é–¢æ•°ãªã®ã§ï¼Œæ—¢å­˜ã®ç‚¹ã‚’交点ã«æŒã£ã¦ããŸã„å ´åˆã¯ -\begin{verbatim} -   tmp=Intersectcrvs(gr1, crAB); -   P.xy=tmp_1; -\end{verbatim} -ã®ã‚ˆã†ã«ã™ã‚Œã°ã‚ˆã„。 - -Crosspoint(),Putintersect()ã§ã¯äº¤ç‚¹ã«æ–°ãŸãªå¹¾ä½•ç‚¹ã‚’作るã“ã¨ãŒã§ãる。 - -Intersectcrvsf() ã¯æ›²ç·šã¨æ›²é¢ã®äº¤ç‚¹ï¼Œ IntersectsgpL() ã¯ç›´ç·šã¨å¹³é¢ã®äº¤ç‚¹ã‚’求ã‚る。 - -\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} - -\subsection{ç·šã®ä½œå›³} -\subsubsection{線分を引ã} - -\begin{tabbing} -12\=34567890123456789\=\kill\\ - -\>ã€Cinderella】 \>「線分を加ãˆã‚‹ã€ãƒ„ール \includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/segment.png} を用ã„る \\ -\>ã€Cindyscript】 \>draw([A,B]) \\ - \>ã€KeTCindy】  \>Listplot([A,B]) \\ - \>ã€KeTCindy3D】 \>Spaceline([A,B]) \\ -\end{tabbing} - Cinderellaã®æ画ツールを使ã†ã¨ï¼Œæã‹ã‚ŒãŸç·šåˆ†ã¯å¹¾ä½•è¦ç´ ã¨ãªã‚Šï¼Œã‚¤ãƒ³ã‚¹ãƒšã‚¯ã‚¿ã§ãã®å±žæ€§ï¼ˆè‰²ãƒ»å¤ªã•ãªã©ï¼‰ã‚’変ãˆã‚‹ã“ã¨ãŒã§ãる。ã¾ãŸï¼Œç‚¹ã‚’線分上ã«ã‚¤ãƒ³ã‚·ãƒ‡ãƒ³ãƒˆã•ã›ã‚‹ã“ã¨ãŒã§ãる。Scilabã«å‡ºåŠ›ã—ãªã„線分をæãã¨ãã¯ã“ã‚Œã§å分ã§ï¼Œã‚¹ã‚¯ãƒªãƒ—トも簡素ã«ãªã‚‹ã€‚\\ - Cindyscript ã®draw関数ã¨KeTCindyã®Listplot関数ã§ã¯ï¼Œç·šã®è‰²ï¼Œå¤ªã•ï¼Œç·šç¨®ã‚’指定ã§ãる。ã¾ãŸï¼Œç‚¹ã®è­˜åˆ¥åã§ã¯ãªã座標を引数ã«ã™ã‚‹ã“ã¨ã‚‚ã§ãる。\\ - 推奨ã™ã‚‹ã®ã¯ï¼Œè£œåŠ©ç·šãªã©ã¯Cinderellaã®æ画ツールã§æã,最終的ã«å¿…è¦ãªç·šã ã‘Listplot()ã§å‡ºåŠ›ã™ã‚‹æ–¹æ³•ã€‚\\ -\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} - - -\subsubsection{折れ線をæã} - -\begin{tabbing} -12\=34567890123456789\=\kill\\ - -\>ã€Cindyscript】 \>connect(点ã®ãƒªã‚¹ãƒˆ)\\ -\>ã€KeTCindy】  \>Listplot(点ã®ãƒªã‚¹ãƒˆ)\\ -\>ã€KeTCindy3D】 \>Spaceline(点ã®ãƒªã‚¹ãƒˆ)\\ -\end{tabbing} - -Cinderellaã®æ画ツールã§æŠ˜ã‚Œç·šã‚’æãã®ã¯ã‚¤ãƒ³ã‚¿ãƒ©ã‚¯ãƒ†ã‚£ãƒ–ã§ã¯ã‚ã‚‹ãŒæœ¬æ•°ãŒå¤šããªã‚‹ã¨ç¾å®Ÿçš„ã§ã¯ãªã„。ãŸã ï¼Œæã‹ã‚ŒãŸç·šåˆ†ã¯å¹¾ä½•è¦ç´ ã¨ãªã‚Šï¼Œã‚¤ãƒ³ã‚¹ãƒšã‚¯ã‚¿ã§ãã®å±žæ€§ï¼ˆè‰²ãƒ»å¤ªã•ãªã©ï¼‰ã‚’変ãˆã‚‹ã“ã¨ãŒã§ãる。折れ線全体ã®å±žæ€§ã‚’変ãˆã‚‹ã«ã¯ï¼Œã™ã¹ã¦ã®æŠ˜ã‚Œç·šã‚’åŒæ™‚ã«é¸æŠžã™ã‚‹ã€‚(Shift+クリック) - -Cindyscript ã®connect() 㨠KeTCindyã® Listplot() ,Spaceline()ã§ã¯ï¼Œå¼•æ•°ã«ç‚¹ã®ãƒªã‚¹ãƒˆã‚’与ãˆã‚Œã°æŠ˜ã‚Œç·šãŒæã‘る。 - -節点を明示ã—ãŸæŠ˜ã‚Œç·šã‚’æãã«ã¯ï¼ŒListplot()ã¨Drawpoint()を組ã¿åˆã‚ã›ã‚‹ã“ã¨ãŒè€ƒãˆã‚‰ã‚Œã‚‹ãŒï¼Œã‚らã‹ã˜ã‚点ã®ãƒªã‚¹ãƒˆã‚’作ã£ã¦ãŠãã®ãŒç°¡ä¾¿ã§ã‚る。 -\begin{verbatim} - Ptsize(3); - pd=[[1,2],[3,4],[6,2]]; - Pointdata("1",pd); - Listplot("1",pd); -\end{verbatim} - -KeTCindy3Dã®å ´åˆã¯ç©ºé–“座標ã§ç‚¹ã‚’TeXã«æ›¸ã出ã™ã“ã¨ãŒã§ããªã„ã®ã§ï¼Œæ¬¡ã®ã‚ˆã†ã«ç‚¹ã‚’作ã£ã¦æ›¸ã出ã™ã€‚ -\begin{verbatim} - Putpoint3d(["A",[2,0,0],"B",[2,0,2],"C",[2,2,2]],"fix"); - Spaceline([A,B,C]); - Ptsize(3); - Drawpoint([A,B,C]); -\end{verbatim} -節点ãŒå¤šã„å ´åˆã¯ï¼Œç©ºé–“ã®ç‚¹ã®ãƒªã‚¹ãƒˆã¨ï¼ŒæŠ•å½±ã—ãŸç‚¹ã®ãƒªã‚¹ãƒˆã‚’作ã£ã¦æç”»ã™ã‚‹ã€‚ -\begin{verbatim} - pt=[[2,0,0],[2,0,2],[2,2,2],[0,2,2],[0,4,2],[0,4,4]]; - pt2d=apply(pt,[Projcoordpara(#)_1,Projcoordpara(#)_2]); - Spaceline("1",pt); - Ptsize(4); - Drawpoint(pt2d); -\end{verbatim} -       \input{Gfig/oresenex01}\\ - -点ã®åå‰ãŒå¿…è¦ã§ã‚ã‚Œã°\\ -  \verb|pname=apply(1..6,"P"+text(#));|\\ -ã®ã‚ˆã†ã«ã—ã¦ï¼Œåå‰ãƒªã‚¹ãƒˆã‚’作る。\\ -\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} - - -\subsubsection{直線を引ã} - -\begin{tabbing} -12\=34567890123456789\=\kill\\ - \\ -\>ã€Cinderella】 \>「直線を加ãˆã‚‹ã€ãƒ„ール \includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/multi-add-line.png} を用ã„る \\ -\>ã€Cindyscript】 \>draw(join([1,2],[2,-1]))\\ - \>ã€KeTCindy】  \>Lineplot([A,B]) \\ -\end{tabbing} - Cinderellaã®æ画ツールを使ã†ã¨ï¼Œæã‹ã‚ŒãŸç·šåˆ†ã¯å¹¾ä½•è¦ç´ ã¨ãªã‚Šï¼Œã‚¤ãƒ³ã‚¹ãƒšã‚¯ã‚¿ã§ãã®å±žæ€§ï¼ˆè‰²ãƒ»å¤ªã•ãƒ»ç·šç¨®ãªã©ï¼‰ã‚’変ãˆã‚‹ã“ã¨ãŒã§ãる。ã¾ãŸï¼Œç‚¹ã‚’直線上ã«ã‚¤ãƒ³ã‚·ãƒ‡ãƒ³ãƒˆã•ã›ã‚‹ã“ã¨ãŒã§ãる。Scilabã«å‡ºåŠ›ã—ãªã„ç›´ç·šã‚’æãã¨ãã¯ã“ã‚Œã§å分ã§ï¼Œã‚¹ã‚¯ãƒªãƒ—トも簡素ã«ãªã‚‹ã€‚åŠç›´ç·šã«ã—ãŸã„å ´åˆã¯ï¼Œç·šåˆ†ã‚’æã„ã¦ä¸€æ–¹ã®ç«¯ç‚¹ã‚’æ画領域(SW,NE)ã®å¤–ã«å‡ºã—ã¦è¦‹ã‹ã‘上åŠç›´ç·šã«ã™ã‚Œã°ã‚ˆã„。 - -Cindyscript ã®draw関数ã¨KeTCindyã®Lineplot関数ã§ã¯ï¼Œç·šã®è‰²ï¼Œå¤ªã•ï¼Œç·šç¨®ã‚’指定ã™ã‚‹ã“ã¨ãŒã§ãる。点ã®è­˜åˆ¥åã§ã¯ãªã座標を引数ã«ã™ã‚‹ã“ã¨ã‚‚ã§ãる。 - -TeXã¸ã®å‡ºåŠ›ã¯ï¼ŒLineplot()ã« "+" オプションをã¤ã‘ã‚‹ã¨åŠç›´ç·šã«ãªã‚‹ã€‚ - -KeTCindy3Dã«ã¯ç›´ç·šã‚’æã関数ã¯ãªã„ãŒï¼Œç·šåˆ†ã®å¤–分点をé©å½“ã«ã¨ã£ã¦ç·šåˆ†ã¨ã—ã¦æã‘ã°ï¼Œã»ã¨ã‚“ã©ç›´ç·šã¨ã—ã¦æ‰±ã†ã“ã¨ãŒã§ãる。 -\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} - - - -\subsubsection{点線や破線をæã} - -\begin{tabbing} -12\=34567890123456789\=\kill\\ - -\>ã€Cinderella】 \>インスペクタã®ã€Œç‰¹åˆ¥ãªè¡¨ç¤ºæ–¹æ³•ã€ã§ç·šç¨®ã‚’変ãˆã‚‹ã€€\\ -\>ã€Cindyscript】 \>ä¿®é£¾å­ dashtype を使ã†ã€€\\ - \>ã€KeTCindy】  \>do ,da オプションをã¤ã‘ã‚‹\\ - \>ã€KeTCindy3D】 \>do ,da オプションをã¤ã‘ã‚‹\\ -\end{tabbing} - Cinderellaã®æ画ツールã§å¼•ã„ãŸç·šåˆ†ãƒ»ç›´ç·šã®ç·šç¨®ã¯ï¼Œãã®è¦ç´ ã‚’é¸ã‚“ã§ã€ŒCtrl+iã€(Mac㯠⌘+i) ã§è¡¨ç¤ºã•ã‚Œã‚‹ã‚¤ãƒ³ã‚¹ãƒšã‚¯ã‚¿ã‚’用ã„ã¦ï¼Œã€Œç‰¹åˆ¥ãªè¡¨ç¤ºæ–¹æ³•ã€ã§å¤‰ãˆã‚‹ã“ã¨ãŒã§ãる。点線,破線ã ã‘ã§ãªã,一点鎖線もã‚る。\\ - Cindyscriptã® draw() ã§å¼•ã„ãŸç·šåˆ†ãƒ»åŠç›´ç·šã¯ï¼Œä¿®é£¾å­ã‚’用ã„ã¦ï¼Œ draw([A,B],dashtype-$>$2) ã®ã‚ˆã†ã«ã—ã¦æã。\\ - KeTCindyã§ã¯ï¼Œã‚ªãƒ—ションã«ï¼Œ["do"] (点線:dotline) ["da"](破線:dashline)をã¤ã‘る。 -\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} - - - -\subsubsection{ç·šã®å¤ªã•ã‚’変ãˆã‚‹} -\begin{tabbing} -12\=34567890123456\=\kill\\ - -\>ã€Cinderella】 \>インスペクタã®ã€Œè¡¨ç¤ºæ–¹æ³•ã€ã‚’使ã†\\ -\>ã€Cindyscript】 \>size オプションをã¤ã‘ã‚‹\\ - \>ã€KeTCindy】  \>Setpen(n) \\ -\end{tabbing} - インスペクタ,Cindyscriptã«ã‚ˆã‚‹ç‚¹ã®å¤§ãã•ã®è¨­å®šã¯ç”»é¢ä¸Šã«ã¯å映ã•ã‚Œã‚‹ãŒï¼ŒTeXã«ã¯æ›¸ã出ã•ã‚Œãªã„。逆ã«ï¼ŒKeTCindyã§è¨­å®šã—ãŸç‚¹ã®å¤§ãã•ã¯ï¼ŒCinderellaã®ç”»é¢ä¸Šã«ã¯å映ã•ã‚Œãªã„。ãã®ã“ã¨ã‚’考慮ã®ä¸Šï¼Œé©å®œä½¿ã„分ã‘ã‚‹å¿…è¦ãŒã‚る。画é¢ä¸Šã®ç‚¹ã®å¤§ãã•ã¨ï¼ŒTeXã®å›³ã®ç‚¹ã®å¤§ãã•ã¯é€£å‹•ã—ãªã„ã®ã§æ³¨æ„ãŒå¿…è¦ã§ã‚る。\\ - KeTCindynã®æ画関数を使ã†ã¨ãã¯ï¼Œ"size=n" オプションをã¤ã‘ã¦å¤§ãã•ã‚’設定ã§ãã‚‹ã‚‚ã®ã‚‚ã‚る。 -\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} - - -\subsubsection{垂線を引ã} - -\begin{tabbing} -12\=34567890123456789\=\kill\\ - -\>ã€Cinderella】 \>「垂線を加ãˆã‚‹ã€ãƒ„ール \includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/multi-add-perp.png} を用ã„る \\ -\>ã€Cindyscript】 \>perpendicular(A,a)\\ - \>ã€KeTCindy】  \>作図後,Listplot()ã§ç·šåˆ†ã‚’引ã\\ - \>ã€KeTCindy3D】 \>Perppt()ã§åž‚ç·šã®è¶³ã‚’求ã‚ã¦ç·šåˆ†ã‚’引ã\\ - -\end{tabbing} - Cinderellaã®ã€Œåž‚ç·šã‚’æãã€ãƒ„ールを用ã„ã¦ä½œå›³ã™ã‚‹ã®ãŒç°¡ä¾¿ã ãŒï¼Œä½•ã‹æ¡ä»¶ã‚’与ãˆã¦åž‚線を引ãよã†ãªå ´åˆã¯Cindyscriptを使ã†ã“ã¨ã«ãªã‚‹ã€‚ãŸã ã—,点ã¨ç›´ç·šï¼ˆç·šåˆ†ï¼‰ãŒå¹¾ä½•è¦ç´ ã«ãªã£ã¦ã„ãªã„ã¨åž‚ç·šã¯å¼•ã‘ãªã„。perpendicular(A,a) ã§ï¼ŒAã¯ç‚¹ã®è­˜åˆ¥å­ï¼Œaã¯ç›´ç·šï¼ˆç·šåˆ†ï¼‰ã®è­˜åˆ¥å­ã€‚TeXã«ã¯ï¼Œé©å½“ãªå›³ãŒæã‘ãŸã¨ã“ã‚ã§Lineplot()ã‚‚ã—ãã¯Listplot()ã§å‡ºåŠ›ã™ã‚Œã°ã‚ˆã„。 - -対象ãŒå¹¾ä½•è¦ç´ ã§ãªã„å ´åˆã¯ï¼ŒCindyscriptã§æ–¹ç¨‹å¼ã‚’求ã‚ã¦å¼•ãã“ã¨ã«ãªã‚‹ã€‚ - -KeTCindy3D ã® Perppt() 関数ã¯ï¼Œã‚る点ã‹ã‚‰å¹³é¢ã«ä¸‹ã—ãŸåž‚ç·šã®è¶³ã‚’求ã‚る。Perppt() ã®é …ã«ã‚る例をå‚ç…§ã®ã“ã¨ã€‚ -\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} - - -\subsubsection{平行線を引ã} - -\begin{tabbing} -12\=34567890123456\=\kill\\ - -\>ã€Cinderella】 \>「平行線を加ãˆã‚‹ã€ãƒ„ール \includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/multi-add-parallel.png} を用ã„る \\ -\>ã€Cindyscript】 \>parallel(B,a)\\ - \>ã€KeTCindy】  \>作図後,Listplot()ã§ç·šåˆ†ã‚’引ã\\ -\end{tabbing} - Cinderellaã®ã€Œå¹³è¡Œç·šã‚’æãã€ãƒ„ールを用ã„ã¦ä½œå›³ã™ã‚‹ã®ãŒç°¡ä¾¿ã ãŒï¼Œãªã«ã‹æ¡ä»¶ã‚’与ãˆã¦å¹³è¡Œç·šã‚’引ãよã†ãªå ´åˆã¯Cindyscriptを使ã†ã“ã¨ã«ãªã‚‹ã€‚ãŸã ã—,点ã¨ç›´ç·šï¼ˆç·šåˆ†ï¼‰ãŒå¹¾ä½•è¦ç´ ã«ãªã£ã¦ã„ãªã„ã¨å¹³è¡Œç·šã¯å¼•ã‘ãªã„。parallel(B,a) ã§ï¼ŒBã¯ç‚¹ã®è­˜åˆ¥å­ï¼Œaã¯ç›´ç·šï¼ˆç·šåˆ†ï¼‰ã®è­˜åˆ¥å­ã€‚ - -TeXã«ã¯ï¼Œé©å½“ãªå›³ãŒæã‘ãŸã¨ã“ã‚ã§Lineplot()ã‚‚ã—ãã¯Listplot() ã§å‡ºåŠ›ã™ã‚Œã°ã‚ˆã„。 - -対象ãŒå¹¾ä½•è¦ç´ ã§ãªã„å ´åˆã¯ï¼ŒCindyscriptã§æ–¹ç¨‹å¼ã‚’求ã‚ã¦å¼•ãã“ã¨ã«ãªã‚‹ã€‚ -\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} - -\subsection{多角形をæã} - -\subsubsection{頂点を与ãˆã¦å¤šè§’形をæã} - -\begin{tabbing} -12\=34567890123456789\=\kill\\ - - \>ã€Cinderella】 \>多角形ツール \includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/polygon.png} を用ã„る \\ - \>ã€Cindyscript】 \>drawpoly(点リスト)\\ - \>ã€KeTCindy】  \>Listplot(点リスト)\\ - \>ã€KeTCindy3D】 \>Spaceline(点リスト)\\ -\end{tabbing} - - Cinderellaã®æ画ツールã®å¤šè§’形ツールã¯ï¼Œæ—¢å­˜ã®ç‚¹ã‚’çµã‚“ã§å¤šè§’形を作り色塗りをã™ã‚‹ã‚‚ã®ã€‚色塗りをã—ãªã„ã®ã§ã‚ã‚Œã°ï¼Œå˜ã«ç·šåˆ†ã§ã¤ãªã„ã§ã„ã。 - - Cindyscriptã®drawpoly() ,ãŠã‚ˆã³KeTCindyã®Listplot(),Spaceline() ã§ã®ç‚¹ãƒªã‚¹ãƒˆã¯ï¼Œæ—¢å­˜ã®å¹¾ä½•ç‚¹ã§ãªã座標ã§ã‚‚よã„。Listplot() ,Spaceline() ã®ç‚¹ãƒªã‚¹ãƒˆãŒå¿…ãšé–‰ã˜ãŸãƒªã‚¹ãƒˆï¼ˆ[A,B,C,D,A])ã§ãªã‘ã‚Œã°ãªã‚‰ãªã„ã®ã«å¯¾ã—,Cindyscriptã®drawplory()ã§ã¯é–‰ã˜ã¦ã„ã‚‹å¿…è¦ã¯ãªã„。drawpoly([A,B,C,D])ã§ã‚ˆã„。 -\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} - - -\subsubsection{1辺を与ãˆã¦æ­£å¤šè§’形をæã} - \\ - 平é¢ä¸Šã§ï¼Œä¸Žãˆã‚‰ã‚ŒãŸç·šåˆ†ABを1辺ã¨ã™ã‚‹æ­£å¤šè§’形をæã。 - -線分ABã¯ï¼ŒCinderellaã®ä½œå›³ãƒ„ールãªã©ã§æã‹ã‚Œã¦ã„ã‚‹ã‚‚ã®ã¨ã™ã‚‹ã€‚ãŸã ã—,線分ã§ãªã,両端ã®ç‚¹ãŒä¸Žãˆã‚‰ã‚Œã¦ã„ã‚‹ã ã‘ã§ã‚‚よã„。点A,BãŒè¤‡ç´ å¹³é¢ä¸Šã«ã‚ã‚‹ã‚‚ã®ã¨ã—ã¦ï¼Œå¤šè§’å½¢ã®é ‚点ã®ä½ç½®ã‚’計算ã™ã‚Œã°ã‚ˆã„。 - -Cindyscriptã®Drawスロットã«ï¼Œæ¬¡ã®ã‚¹ã‚¯ãƒªãƒ—トを書ã。(n=5ã§æ­£äº”角形をæã) -\begin{verbatim} - n=5; - pti=[complex(A),complex(B)]; - th=2*pi/n; - repeat(n-2,s, -  z1=pti_s; -  z2=pti_(s+1); -  z=z2+(z2-z1)*(cos(th)+i*sin(th)); -  pti=append(pti,z); - ); - pt=apply(pti,gauss(#)); - pt=append(pt,A.xy); - Listplot("1",pt); -\end{verbatim} -ptiã¯ï¼Œå„頂点ã«å¯¾å¿œã™ã‚‹è¤‡ç´ æ•°ã®ãƒªã‚¹ãƒˆï¼ŒptãŒå„頂点ã®åº§æ¨™ã®ãƒªã‚¹ãƒˆã§ã‚る。 -\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} - - -\subsubsection{接線を引ã} - \\ -曲線上ã®ç‚¹ã«ãŠã‘る接線を引ã -\begin{tabbing} -12\=34567890123456789\=\kill\\ - -\>ã€Cinderella】 \>幾何è¦ç´ ã®ï¼’次曲線ã®å ´åˆï¼Œã€Œç‚¹ã®æ¥µç·šã‚’加ãˆã‚‹ã€ãƒ„ール \includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/polar-of-point.png}   を用ã„ã‚‹\\ -\>ã€Cindyscript】 \>微分ã—ã¦æŽ¥ç·šã®æ–¹ç¨‹å¼ã‚’求ã‚ã¦ç›´ç·šã‚’引ã\\ - \>ã€KeTCindy】  \>åŒä¸Šã€€\\ -\end{tabbing} - Cinderellaã®ä½œå›³ãƒ„ールã§æã„ãŸï¼’次曲線ã®å ´åˆã¯ï¼Œæ›²ç·šä¸Šã®ç‚¹ã«ãŠã„ã¦ã€Œç‚¹ã®æ¥µç·šã‚’加ãˆã‚‹ã€ãƒ„ールã§æŽ¥ç·šãŒå¼•ã‘る。ã“ã®ãƒ„ールã¯ï¼ŒåˆæœŸçŠ¶æ…‹ã§ã¯ç”»é¢ã«å‡ºã¦ã„ãªã„ã®ã§ï¼Œãƒ¢ãƒ¼ãƒ‰ãƒ¡ãƒ‹ãƒ¥ãƒ¼ã®ã€Œç›´ç·šã€ã‹ã‚‰é¸ã¶ã€‚ã¾ãŸï¼Œã€Œè¨­å®šã€ãƒ¡ãƒ‹ãƒ¥ãƒ¼ã®ã€Œä¸Šã®ãƒ„ールãƒãƒ¼ã‚’カスタマイズã™ã‚‹ã€ã§ï¼Œã™ã¹ã¦ã®ãƒ„ールを表示ã™ã‚Œã°ç”»é¢ä¸Šã«å‡ºã‚‹ã€‚ - - Cinderellaã®ä½œå›³ãƒ„ールã§æã‘ãªã„曲線ã®å ´åˆã¯æ–¹ç¨‹å¼ã‚’求ã‚ã¦ç›´ç·šã‚’引ãã“ã¨ã«ãªã‚‹ã€‚微分をã™ã‚‹é–¢æ•°ã¯ï¼ŒCindyscriptã§ã¯ d(関数,変数),KeTCindyã§ã¯Derivative(関数, 変数,値) を用ã„る。\\ - -例:3次関数 $f(x)=x^3-4x$ 上ã®ç‚¹$(1,-3)$ã«ãŠã‘る接線を引ãCindyscriptã¨KeTCindyã®çµ„ã¿åˆã‚ã›\\ -  f(x):=x\verb|^| 3-4*x;\\ -  g(x0,x):=d(f(\#),x0)*(x-x0)+f(x0);\\ -  p1=[1,-3];\\ -  p2=[2,g(1,2)];\\ -  plotdata("1","x\verb|^| 3-4*x","x");\\ -  Lineplot("1",[p1,p2]);\\ - \\ - ã“ã®ã‚¹ã‚¯ãƒªãƒ—トã§ã¯ï¼Œg(x0,x)を点$(x_0,f(x_0))$ã«ãŠã‘る接線ã®æ–¹ç¨‹å¼ã¨ã—ã¦ã„る。\\ - ã¾ãŸï¼ŒæŽ¥ç‚¹ã‚’インタラクティブã«æ±ºã‚ã‚‹ã«ã¯ï¼Œï¼’点A,Bを作図ã—ã¦ãŠã\\ - \\ -  Deffun("f(x)",["regional(y)","y=x\verb|^|3-4*x","y"]);\\ -  coef=Derivative("f(x)","x",A.x);\\ -  A.y=f(A.x);\\ -  B.y=coef*(B.x-A.x)+A.y;\\ -  Plotdata("1","f(x)","x");\\ -  Lineplot([A,B]);\\ - - ã¨ã—ã¦ï¼ŒæŽ¥ç‚¹Aをドラッグã—ã¦ä½ç½®æ±ºã‚ã‚’ã™ã‚‹ã“ã¨ãŒã§ãる。\\ - \\ - <注>\\ -    Deffun("f(x)",["regional(y)","y=x\verb|^|3-4*x","y"]);\\ -  ã¯\\ -    f(x):=x\verb|^| 3-4*x;\\ -  ã§ã‚‚よã„。\\ -\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} -\subsection{円ã®ä½œå›³} -\subsubsection{円をæã} - -\begin{tabbing} -12\=34567890123456789\=\kill\\ - -\>ã€Cinderella】 \>「円を加ãˆã‚‹ã€ãƒ„ール \includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/multi-add-circle.png} を用ã„ã‚‹\\ -\>ã€Cindyscript】 \>drawcircle([a,b],r)\\ - \>ã€KeTCindy】  \>Circledata([A,B]),Circledata(name,[[a,b],[c,d]])\\ -\end{tabbing} - Cinderellaã®å††ã‚’æãツールã¯ï¼“種類ã‚ã‚‹ãŒï¼Œã‚ã¨ã§TeXã«æ›¸ã出ã™ãªã‚‰ã°ã€Œå††ã‚’加ãˆã‚‹ã€ãƒ„ールãŒã‚ˆã„。中心ã‹ã‚‰ãƒ‰ãƒ©ãƒƒã‚°ã™ã‚‹ã¨å††å‘¨ä¸Šã«ç‚¹ãŒã§ãる。ã“ã®ï¼’点を使ã£ã¦Circledata([A,B]) ã§æ›¸ã出ã™ã“ã¨ãŒã§ãる。TeXã«æ›¸ã出ã™å¿…è¦ãŒãªã„補助円ãªã©ã§ã‚ã‚Œã°ï¼Œã€ŒåŠå¾„付ã円を加ãˆã‚‹ã€ \includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/circle-by-radius.png} ãŒç°¡ä¾¿ã€‚åŠå¾„を一定ã«ã™ã‚‹ï¼ˆå††å‘¨ãƒ‰ãƒ©ãƒƒã‚°ã§å¤§ãã•ãŒå¤‰ã‚らãªã„よã†ã«ã™ã‚‹ï¼‰ã®ã§ã‚ã‚Œã°ï¼Œã€Œå›ºå®šã—ãŸåŠå¾„ã®å††ã‚’æãã€ãƒ„ールを用ã„る。Cinderellaã®å††ã‚’æãツールã§æã„ãŸå††ã¯ï¼Œã‚¤ãƒ³ã‚¹ãƒšã‚¯ã‚¿ã®ã€Œç‰¹åˆ¥ãªè¡¨ç¤ºæ–¹æ³•ã€ã§ç·šç¨®ã‚’設定ã§ãる。 - -Cindyscript ã§ã¯ï¼Œä¸­å¿ƒã¨åŠå¾„を指定ã—ã¦å††ã‚’æã。drawcircle([a,b],r) 㯠[a,b] ãŒä¸­å¿ƒã®åº§æ¨™ï¼Œr ãŒåŠå¾„(実数)。中心ã¯ï¼ŒCinderellaã®ä½œå›³ãƒ„ールã§ã¨ã£ãŸç‚¹Aを中心ã¨ã™ã‚‹å ´åˆã¯ï¼Œdrawcircle(A,r)。 - -KeTCindyã®Circledata([A,B])ã¯ï¼Œä¸­å¿ƒAã§ç‚¹Bを通る円をæã。A,Bを座標ã«ã™ã‚‹å ´åˆã¯ï¼ŒnameãŒå¿…è¦ã€‚中心Aã§åŠå¾„rã®å††ã‚’æãã®ã§ã‚ã‚Œã°ï¼Œåº§æ¨™æŒ‡å®šã«ãªã‚‹ã®ã§ï¼ŒCircledata("1",[A,A+[3,0]]) ã¾ãŸã¯ Circledata("1",[A.xy,A.xy+[3,0]]) ã¨ã™ã‚‹ã€‚ -\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} - -\subsection{領域を塗る} -\subsubsection{円ã®å†…部を塗る} -\begin{tabbing} -12\=34567890123456789\=\kill\\ - -\>ã€Cinderella】 \>「円を加ãˆã‚‹ã€ãƒ„ールを用ã„ãŸã®ã¡ï¼Œã‚¤ãƒ³ã‚¹ãƒšã‚¯ã‚¿ã§è¨­å®š\\ -\>ã€Cindyscript】 \>fillcircle(A,r) \\ - \>ã€KeTCindy】  \>Shade(PD)\\ -\end{tabbing} - 画é¢ä¸Šã§è‰²ã‚’å¡—ã‚‹ã ã‘ãªã‚‰ã‚¤ãƒ³ã‚¹ãƒšã‚¯ã‚¿ã®ã€Œè¡¨ç¤ºæ–¹æ³•ã€ã§è‰²å¡—ã‚Šã‚’ã™ã‚‹ã®ãŒç°¡ä¾¿ã€‚é€æ˜Žåº¦ã‚‚設定ã§ãる。TeXã®å›³ç‰ˆã§ã‚‚領域を塗るã®ã§ã‚ã‚Œã°ï¼ŒCircledata()ã§å††ã‚’æã„ãŸï¼ˆãƒ—ロットデータを作æˆï¼‰ã®ã¡ï¼ŒShade()ã§è‰²ã‚’塗る。ã“ã“ã§è‰²æŒ‡å®šã‚’ã™ã‚Œã°ç”»é¢ã«ã‚‚å映ã•ã‚Œã‚‹ã€‚\\ -\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} - - -\subsubsection{多角形ã®å†…部を塗る} - -\begin{tabbing} -12\=34567890123456789\=\kill\\ - -\>ã€Cinderella】 \>「多角形を加ãˆã‚‹ã€ãƒ„ール \includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/polygon.png} を用ã„る \\ -\>ã€Cindyscript】 \>fillpoly(点リスト)\\ - \>ã€KeTCindy】  \>Shade(PD)\\ -\end{tabbing} - Cinderellaã®æ画ツールã®å¤šè§’形ツールã¯ï¼Œæ—¢å­˜ã®ç‚¹ã‚’çµã‚“ã§å¤šè§’形を作り色塗りをã™ã‚‹ã€‚ - -Cindyscriptã§ã®ç‚¹ãƒªã‚¹ãƒˆã¯ï¼Œæ—¢å­˜ã®å¹¾ä½•ç‚¹ã§ãªã座標ã§ã‚‚よã„。点リストã¯ï¼Œå§‹ç‚¹ã¨çµ‚点をçµã¶ã®ã§é–‰ã˜ã¦ã„ã‚‹å¿…è¦ã¯ãªã„。([A,B,C,D]) - - TeXã«æ›¸ã出ã™ã®ã§ã‚れ㰠Shade()を用ã„る。\\ -\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} - - -\subsubsection{曲線ã§å›²ã¾ã‚ŒãŸé ˜åŸŸã‚’å¡—ã‚‹} -\begin{tabbing} -12\=34567890123456789\=\kill\\ - - \>ã€KeTCindy】  \>Shade(PD)\\ -\end{tabbing} -  Shade()を用ã„ã¦é ˜åŸŸã‚’塗る。Cinderellaã®ç”»é¢ã«ã‚‚å映ã•ã‚Œã‚‹ã€‚\\ -\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} - - -\subsubsection{領域を斜線ã§ç¤ºã™} - -\begin{tabbing} -12\=34567890123456\=\kill\\ - \>ã€KeTCindy】  \>Hatchdata(name,æ–¹å‘,PD)\\ -\end{tabbing} -  領域を斜線ã§å¡—る。Cinderellaã®ç”»é¢ã«ã‚‚å映ã•ã‚Œã‚‹ã€‚Scilabã¨ãƒ‡ãƒ¼ã‚¿ã‚’ã‚„ã‚Šå–ã‚Šã—ã¦ãƒãƒƒãƒãƒ‡ãƒ¼ã‚¿ã‚’作るã®ã§ï¼Œãƒãƒƒãƒãƒ•ã‚¡ã‚¤ãƒ«ï¼ˆã‚·ã‚§ãƒ«ãƒ•ã‚¡ã‚¤ãƒ«ï¼‰ãŒè£ã§å®Ÿè¡Œã•ã‚Œã‚‹ã€‚\\\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} - - -\subsubsection{領域を細ã‹ã„点ã§åŸ‹ã‚ã‚‹} - -\begin{tabbing} -12\=34567890123456\=\kill\\ - - \>ã€KeTCindy】  \>Dotfilldata(name,æ–¹å‘,PD)\\ -\end{tabbing} - 曲線ã§å›²ã¾ã‚ŒãŸé ˜åŸŸã‚’斜線ã§å¡—ã‚‹ã‹ã‚ã‚Šã«ç´°ã‹ã„点ã§åŸ‹ã‚る。 使ã„æ–¹ã¯Hatchdata() ã¨åŒæ§˜ã€‚\\ -\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} - - -\subsection{関数ã®ã‚°ãƒ©ãƒ•ãƒ»æ›²ç·š} - -\subsubsection{関数ã®ã‚°ãƒ©ãƒ•ã‚’æã} -\begin{tabbing} -12\=34567890123456789\=\kill\\ - -\>ã€Cindyscript】 \>関数を定義ã—ã¦ï¼Œplot()ã§è¡¨ç¤ºã™ã‚‹ã€€\\ - \>ã€KeTCindy】  \>(関数を定義ã—ã¦ï¼‰Plotdata()ã§è¡¨ç¤ºã™ã‚‹ã€€\\ -\end{tabbing} - - Cindyscriptã§ã¯ï¼Œf(x):=å¼ ã®æ›¸å¼ã§é–¢æ•°ã‚’定義ã—,plot(fx)) ã§ã‚°ãƒ©ãƒ•ã‚’æãã“ã¨ãŒã§ãる。関数ã¯ï¼Œif関数ã«ã‚ˆã‚‹å ´åˆåˆ†ã‘ã‚‚å¯èƒ½ã€‚ã¾ãŸï¼Œã“ã®é–¢æ•°æ¦‚念ã¯æ•°å­¦é–¢æ•°ã§ã¯ãªã, プログラミングã«ãŠã‘る関数ãªã®ã§ï¼Œä¸€é€£ã®æ“作を関数ã¨ã—ã¦å®šç¾©ã—ã¦å®Ÿè¡Œã™ã‚‹ã“ã¨ã‚‚ã§ãる。\\ - KeTCindyã§ã¯ï¼ŒDeffun() ã§é–¢æ•°ã‚’定義ã—ã¦ï¼ŒPlotdata()ã§ã‚°ãƒ©ãƒ•ã‚’æã。Deffunã§ã¯ï¼Œifæ–‡ã«ã‚ˆã‚‹æ¡ä»¶åˆ†å²ã‚‚å¯èƒ½ã ãŒï¼Œifã®ãƒã‚¹ãƒˆã¯ã§ããªã„。\\ - 三角関数ãªã©ã®çµ„ã¿è¾¼ã¿é–¢æ•°ã«ã¤ã„ã¦ã¯ï¼Œå®šç¾©ã¯ä¸è¦ã§ï¼Œãã®ã¾ã¾ plot() ã‚‚ã—ã㯠Plotdata()ã§ã‚°ãƒ©ãƒ•ã‚’æãã“ã¨ãŒã§ãる。ãŸã ã—,Cindyscriptã«ã‚ã£ã¦ã‚‚KeTCindyã«ã¯ãªã„逆三角関数(arctanãªã©)ã¯Cindyscriptã§ç”»é¢ã«ã¯è¡¨ç¤ºã§ãã‚‹ãŒTeXã«ã¯ã§ããªã„。\\ - -\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} - -\subsubsection{媒介変数表示ã®æ›²ç·šã‚’æã} - -\begin{tabbing} -12\=34567890123456789\=\kill\\ - -\>ã€Cindyscript】 \>plot([f(t),g(t)])\\ - \>ã€KeTCindy】  \>Paramplot(name,å¼,定義域) \\ - \>ã€KeTCindy3D】 \>Spacecurve(name,å¼,定義域) \\ -\end{tabbing} - ã„ãšã‚Œã‚‚optionã§ç·šç¨®ãªã©ã®æŒ‡å®šãŒã§ãる。\\ - 平é¢ã«ãŠã‘る曲線ã§ï¼ŒTimer Tickスロットã«æ›¸ã„ã¦ã‚¢ãƒ‹ãƒ¡ãƒ¼ã‚·ãƒ§ãƒ³ã‚’è¡Œã†å ´åˆã¯ï¼ŒCindyscriptã® plot()ã®æ–¹ã‚’勧ã‚る。シンプルãªåˆ†ï¼Œå®Ÿè¡Œé€Ÿåº¦ã«ãŠã„ã¦æœ‰åˆ©ã§ã‚る。\\ -\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} - - -\subsubsection{2次曲線をæã} - 放物線,楕円,åŒæ›²ç·šã‚’æã。 -\begin{tabbing} -12\=34567890123456789\=\kill\\ - -\>ã€Cinderella】 \>焦点ãªã©ã‚’作図ã—ã¦ãã‚Œãžã‚Œã®ä½œå›³ãƒ„ールを用ã„ã‚‹\\ -\>ã€Cindyscript】 \>関数もã—ãã¯åª’介変数ã§è¡¨ã—ã¦plot()ã§æã\\ - \>ã€KeTCindy】  \>Plotdata() ã‚‚ã—ã㯠Paramplot() ,Parabolaplot() ãªã©ã§æã\\ -\end{tabbing} - ã“れらã®æ›²ç·šã‚’æã方法ã¯ä½•é€šã‚Šã‹ã‚る。全体ã§ã¯ãªã一部分をæãå ´åˆã¯Cinderellaã®ä½œå›³ãƒ„ールã§ã¯ã§ããªã„ã®ã§plot()ã¾ãŸã¯ Paramplot()ã§æã。 - - ã“れらã®æ›²ç·šä¸Šã«ç‚¹ã‚’ã¨ã‚Šï¼ŒæŽ¥ç·šã‚’引ã„ã¦ã‚¤ãƒ³ã‚¿ãƒ©ã‚¯ãƒ†ã‚£ãƒ–ã«å‹•ã‹ã™ã‚ˆã†ãªå ´åˆã¯ï¼ŒCinderellaã®ä½œå›³ãƒ„ールã§æãã¨ã‚ˆã„。点をインシデントã«ã™ã‚‹ã®ãŒå®¹æ˜“ã§ã‚り,接線も簡å˜ã«å¼•ã‘,ã•ã‚‰ã«ãã®æŽ¥ç·šã‚‚幾何è¦ç´ ã¨ãªã‚‹ã®ã§éƒ½åˆãŒã‚ˆã„。 - -KeTCindyã§ã¯ï¼ŒPlotdata() ã§åª’介変数表示ã®å¼ã‚’与ãˆã‚‹ã‹ï¼ŒParabolaplot(),Ellipsplot(),Hyperbolaplot() ã§ç„¦ç‚¹ãªã©ã‚’与ãˆã¦æã。 - -\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} - - -\subsubsection{陰関数ã®ã‚°ãƒ©ãƒ•ã‚’æã} - -\begin{tabbing} -12\=34567890123456\=\kill\\ - - \>ã€KeTCindy】  \>Implicitplot()\\ -\end{tabbing} - 陰関数ã§ä¸Žãˆã‚‰ã‚ŒãŸæ›²ç·šã‚’æã方法ã¯Cinderella,Cindyscriptã«ã¯ãªã„。 -\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} - - -\subsubsection{プロットデータを自作ã—ã¦è¡¨ç¤ºã™ã‚‹} - \\ - 組ã¿è¾¼ã¿é–¢æ•°ã«ãªã„関数ãªã©ã‚’使ã£ã¦ãƒ—ロットデータを自作ã—ã¦è¡¨ç¤ºã™ã‚‹ã«ã¯ï¼ŒCindyscriptã§ä½œæˆã—ãŸãƒ—ロットデータをListplot() ã¾ãŸã¯ AddGraph()ã«æ¸¡ã—ã¦æç”»ã™ã‚‹ã€‚ãã‚Œãžã‚Œã®é …ã®ä¾‹ã‚’å‚ç…§ã®ã“ã¨ã€‚ - -\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} - -\subsection{ãã®ä»–} - -\subsubsection{幾何è¦ç´ ã‚’éžè¡¨ç¤ºã«ã™ã‚‹} -æã„ãŸç‚¹ã‚„ç·šã‚’éžè¡¨ç¤ºã«ã™ã‚‹ã€‚ -\begin{tabbing} -12\=34567890123456\=\kill\\ - -\>ã€Cinderella】 \>インスペクタã®ã€Œè¡¨ç¤ºæ–¹æ³•ã€ã§ã€Œè¡¨ç¤ºã™ã‚‹ã€ã®ãƒã‚§ãƒƒã‚¯ã‚’切る \\ -\>ã€Cindyscript】 \>幾何è¦ç´ ã®visibleプロパティをfalseã«ã™ã‚‹ã€€\\ - \>ã€KeTCindy】  \>"notex" ã¾ãŸã¯ "nodisp" オプションをã¤ã‘ã‚‹  \\ -\end{tabbing} - インスペクタã®è¡¨ç¤ºæ–¹æ³•ã€ã§ã€Œè¡¨ç¤ºã™ã‚‹ã€ã®ãƒã‚§ãƒƒã‚¯ã‚’切ã£ãŸå ´åˆï¼Œã€Œè¡¨ç¤ºã€ã«æˆ»ã™ã«ã¯ï¼Œã€Œè¡¨ç¤ºã€ãƒ¡ãƒ‹ãƒ¥ãƒ¼ã®ã€Œå¼ã«ã‚ˆã‚‹è¡¨ç¤ºã€ã‚’é–‹ã„ã¦ï¼Œè©²å½“ã®å¹¾ä½•è¦ç´ ã‚’é¸æŠžã—,インスペクタã§ã€Œè¡¨ç¤ºã™ã‚‹ã€ã®ãƒã‚§ãƒƒã‚¯ã‚’ã¤ã‘る。\\ - 幾何è¦ç´ ã‚’Cindyscriptã§éžè¡¨ç¤º/表示ã«ã™ã‚‹ã«ã¯ï¼ŒA.visible=false / true ã¨ã™ã‚‹ã€‚幾何è¦ç´ ã§ã¯ãªã„関数ã®ã‚°ãƒ©ãƒ•ãªã©ã¯ã‚¤ãƒ³ã‚¹ãƒšã‚¯ã‚¿ã§ã¯éžè¡¨ç¤ºã«ã§ããªã„。\\ - KeTCindy ã® "notex" オプションã¯TeXã«å‡ºåŠ›ã—ãªã„。"nodisp"オプションã§ã¯ï¼Œç”»é¢ã«ã‚‚表示ã•ã‚Œãªã„。プロットデータを作æˆã™ã‚‹ãŸã‚ã«ä½¿ã†ã€‚\\ -\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} - - -\subsubsection{角ã«å°ã‚’ã¤ã‘ã‚‹} -角ã«å¼§ã¾ãŸã¯å¹³è¡Œå››è¾ºå½¢ã®è§’ã®å°ã‚’ã¤ã‘る。 -\begin{tabbing} -12\=34567890123456\=\kill\\ - -\>ã€Cinderella】 \>「角ã«å°ã‚’ã¤ã‘ã‚‹ã€ãƒ„ール \includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/angle-mark.png} を用ã„る(弧ã®å½¢çŠ¶ã®ã¿ï¼‰\\ -\>ã€Cindyscript】 \>ãªã—\\ - \>ã€KeTCindy】  \>Anglemark() , Paramark() を用ã„る \\ -\end{tabbing} - TeXã«å‡ºåŠ›ã—ãªã„ã®ã§ã‚ã‚Œã°ï¼Œã€Œè§’ã«å°ã‚’ã¤ã‘ã‚‹ã€ãƒ„ールを用ã„ã‚‹ã®ãŒç°¡ä¾¿ã€‚ãŸã ã—,平行四辺形ã®å°ã¯ã¤ã‘られãªã„。\\ - 角ã«å‘ãを示ã™çŸ¢å°ã‚’付加ã™ã‚‹å ´åˆã¯ï¼ŒAnglemark()ã§æã„ã¦ãŠã,Arrowhead()ã§çŸ¢ã˜ã‚Šã‚’ã¤ã‘る。\\ -\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} - - -\subsection{値ã®å–得・変æ›} -\subsubsection{角度を測る} - -\begin{tabbing} -12\=34567890123456789\=\kill\\ - -\>ã€Cinderella】 \>「角度を測るã€ãƒ„ール \includegraphics[bb=0 0 27 21 , width=0.6cm]{Cindytool/angle.png}を用ã„る。\\ -\>ã€Cindyscript】 \>arctan2(ベクトル)を用ã„ã‚‹\\ -\end{tabbing} - Cinderellaã®ã€Œè§’度を測るã€ãƒ„ールã§ã¯ï¼Œç”»é¢ä¸Šã«è§’度ãŒè¡¨ç¤ºã•ã‚Œã‚‹ã€‚ã“ã®å€¤ã‚’スクリプトã§åˆ©ç”¨ã™ã‚‹ãŸã‚ã«ã¯ï¼Œãã®è­˜åˆ¥åを用ã„る。識別åã¯ï¼Œè¡¨ç¤ºãƒ¡ãƒ‹ãƒ¥ãƒ¼ã‹ã‚‰ã€Œå¼ã«ã‚ˆã‚‹è¡¨ç¤ºã€ã§å‡ºã‚‹å¹¾ä½•è¦ç´ ã®ä¸€è¦§è¡¨ã§åˆ¤æ–­ã™ã‚‹ã€‚識別åãŒÎ±0ã§ã‚ã‚Œã°ï¼Œå¤‰æ•°Î±0ã«è§’ã®å€¤ãŒå…¥ã£ã¦ã„ã‚‹ã¨è€ƒãˆã¦ã‚ˆã„。αã¯æ—¥æœ¬èªžå…¥åŠ›ãƒ¢ãƒ¼ãƒ‰ã§ã€Œã‚ã‚‹ãµãã€ã§å…¥åŠ›ã™ã‚‹ã€‚ãŸã¨ãˆã°ï¼Œdrawtext([1,1],α0) ã¨ã™ã‚Œã°ï¼Œ(1,1) ã®ä½ç½®ã«è§’度ãŒè¡¨ç¤ºã•ã‚Œã‚‹ã€‚ã“ã®ã¨ãã®è§’ã¯ä¸€èˆ¬è§’ã§ã‚り,点をドラッグã™ã‚‹ã¨360°以上ã®è§’ã‚„è² ã®è§’ã§è¡¨ç¤ºã•ã‚Œã‚‹ã€‚ã¾ãŸï¼Œè¡¨ç¤ºã¯åº¦æ•°æ³•ã§è¡Œã‚れるãŒï¼Œå‡¦ç†ã«ã‚ˆã£ã¦ã¯å¼§åº¦æ³•ã§ã®è¡¨ç¤ºã¨ãªã‚‹ã€‚\\ - Cindyscriptã§è§’度をå–å¾—ã™ã‚‹ã«ã¯ï¼Œarctan2()を用ã„ã‚‹ã®ãŒã‚ˆã„。引数ã¯ãƒ™ã‚¯ãƒˆãƒ«ã§ï¼Œx軸ã®æ­£ã®æ–¹å‘ã¨ã®ãªã™è§’ã‚’ −π 〜 Ï€ ã®ç¯„囲ã§å¼§åº¦æ³•ã§è¿”ã™ã€‚角ABCã®å ´åˆï¼Œth=arctan2(C.xy-B.xy)-arctan2(A.xy-B.xy) ã§å–å¾—ã§ãる。\\ -\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} - -\subsubsection{2点間ã®è·é›¢ã‚’測る} - -\begin{tabbing} -12\=34567890123456\=\kill\\ - -\>ã€Cindyscript】 \>dist(A,B) ã¾ãŸã¯ $|$A,B$|$ \\ - \>ã€KeTCindy3D】 \>dist3d(点,点)\\ -\end{tabbing} -\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} - -\subsubsection{数値を文字ã«å¤‰æ›ã™ã‚‹} -関数ã®å¼•æ•°ã«æ–‡å­—列ã¨ã—ã¦ä¸Žãˆã‚‹ãŸã‚ã«æ•°å€¤ã‚’文字列ã«å¤‰æ›ã—ãŸã„å ´åˆãŒã‚る。ã“ã®ã‚ˆã†ãªå ´åˆã¯ï¼Œtext() 関数を用ã„る。引数ã¯å®Ÿæ•°ãƒ»è¤‡ç´ æ•°ã„ãšã‚Œã§ã‚‚å¯ã€‚\\ - -subsubsection{å°æ•°ç‚¹ã®æ¡æ•°ã‚’指定ã—ã¦è¡¨ç¤º} -\begin{tabbing} -12\=34567890123456\=\kill\\ - -\>ã€Cinderella】 \>ãªã— \\ -\>ã€Cindyscript】 \>format()関数を用ã„る \\ - \>ã€KeTCindy】  \>Textformat() 関数を用ã„ã‚‹\\ -\end{tabbing} - Cinderellaã§ã¯ï¼Œå°æ•°ç‚¹ä»¥ä¸‹ã®æ¡æ•°ã¯ç¬¬ï¼•ä½ã‚’å››æ¨äº”å…¥ã—ã¦è¡¨ç¤ºã™ã‚‹ã®ãŒãƒ‡ãƒ•ã‚©ãƒ«ãƒˆã§ã‚る。å°æ•°ç‚¹ä»¥ä¸‹ã®æ¡æ•°ã‚’指定ã™ã‚‹ã«ã¯ï¼ŒCindyscriptã§ã¯ format()関数,KeTCindydã§ã¯ Textformat()関数を用ã„る。Textformat()関数ã¯ï¼Œãƒªã‚¹ãƒˆã§ä¸ŽãˆãŸæ•°ã§ã‚‚処ç†ã§ãる。\\ -\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} - -\subsection{スライダを作る} -\subsubsection{線分スライダを作る} -変数ã®å€¤ã‚’インタラクティブã«æ±ºã‚るスライダを作る。 - -ã¾ãšï¼ŒCinderellaã®ä½œå›³ãƒ„ールã§ï¼Œé©å½“ãªç·šåˆ†ï¼ˆã¾ãŸã¯ç›´ç·šï¼‰ã¨ï¼Œãã®ä¸Šã®ç‚¹ã‚’ã¨ã‚‹ã€‚ã“ã®ã¨ã,点ãŒç·šåˆ†ä¸Šã«ã‚¤ãƒ³ã‚·ãƒ‡ãƒ³ãƒˆã«ãªã‚‹ã‚ˆã†ã«ï¼Œç‚¹ã‚’線分上ã«ãƒ‰ãƒ©ãƒƒã‚°ã—ã¦ç·šåˆ†ãŒãƒã‚¤ãƒ©ã‚¤ãƒˆã—ãŸã¨ãã«ãƒžã‚¦ã‚¹ãƒœã‚¿ãƒ³ã‚’離ã™ã€‚ - -線分をAB,AB上ã®ç‚¹ã‚’Cã¨ã—ã¦ï¼ŒAã¨Cã®è·é›¢ $|$A,C$|$ を用ã„ã¦å¤‰æ•°ã®å€¤ã‚’決ã‚ã‚Œã°ã‚ˆã„。 - -  例:x=$|$A,C$|$-5; - -æ•´æ•°ã‚’å–å¾—ã—ãŸã„å ´åˆã¯ï¼Œå¤©äº•é–¢æ•°ceil()ã¾ãŸã¯ï¼ŒåºŠé–¢æ•° floor()を用ã„ã¦æ•´æ•°åŒ–ã™ã‚‹ã€‚ - -  例:n=ceil($|$A,C$|$) - -点Cを端点ã¾ã§ãƒ‰ãƒ©ãƒƒã‚°ã—ãŸå¾Œï¼Œã•ã‚‰ã«ç‚¹Cをドラッグã—よã†ã¨ã™ã‚‹ã¨ç«¯ç‚¹ã‚‚åŒæ™‚ã«å‹•ã„ã¦ã—ã¾ã†ã“ã¨ãŒã‚る。ãã“ã§ï¼Œç«¯ç‚¹ã‚’é¸æŠžã—ã¦ã‚¤ãƒ³ã‚¹ãƒšã‚¯ã‚¿ã§ã€Œãƒ”ンã§ç•™ã‚ã‚‹ã€ã«ãƒã‚§ãƒƒã‚¯ã‚’入れã¦ãŠãã¨ã‚ˆã„。 -\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} - -\subsubsection{円形スライダを作る} -角ã®å€¤ã‚’インタラクティブã«æ±ºã‚るスライダを作る。 - -ã¾ãšï¼ŒCinderellaã®ä½œå›³ãƒ„ールã§ï¼Œé©å½“ãªå††ã‚’æã,ãã®ä¸Šã«ç‚¹ã‚’ã¨ã‚‹ã€‚ã“ã®ã¨ã,点ãŒå††å‘¨ä¸Šã«ã‚¤ãƒ³ã‚·ãƒ‡ãƒ³ãƒˆã«ãªã‚‹ã‚ˆã†ã«ï¼Œç‚¹ã‚’円周上ã«ãƒ‰ãƒ©ãƒƒã‚°ã—ã¦å††å‘¨ãŒãƒã‚¤ãƒ©ã‚¤ãƒˆã—ãŸã¨ãã«ãƒžã‚¦ã‚¹ãƒœã‚¿ãƒ³ã‚’離ã™ã€‚ - -円ã®ä¸­å¿ƒã‚’A,円周上ã®ç‚¹ã‚’Bã¨ã—ãŸã¨ã,B.angleã§è§’度をå–å¾—ã§ãる。ãŸã ã—,戻り値ã¯$0^\circ 〜 360^\circ$ - -arctan2(B.xy-A.xy) ã§è§’ã‚’å–å¾—ã™ã‚‹ã“ã¨ã‚‚ã§ãる。ã“ã®å ´åˆã®æˆ»ã‚Šå€¤ã¯ï¼Œ$-180^\circ 〜 180^\circ$\\ -\begin{flushright} \hyperlink{functionlist3d}{$\Rightarrow$関数一覧}\end{flushright} - - - -% 関数一覧 ================================== -\hypertarget{functionlist}{} -\section{関数一覧} -\begin{tabbing} -12345678901234567890123456789012345678\=\kill -ã€è¨­å®šãƒ»å®šç¾©ã€‘\\ -\hyperlink{addax}{Addax(0/1)} \>座標軸をæãã‹ã©ã†ã‹ã‚’定ã‚ã‚‹\\ -\hyperlink{addcolor}{Addcolor(com,color)} \>æ画色を設定ã™ã‚‹\\ -\hyperlink{colorcode}{Colorcode(文字1,文字2,color)} \>カラーコードã®å¤‰æ›\\ -\hyperlink{deffun}{Deffun(関数å , 定義リスト )} \>関数を定義ã™ã‚‹\\ -\hyperlink{definecolor}{Definecolor(色å , 定義リスト )} \>ユーザー定義色ã®è¨­å®š\\ -\hyperlink{defvar}{Defvar(文字列)}  \>変数を定義ã™ã‚‹\\ -\hyperlink{drwxy}{Drwxy()}   \>座標軸を先ã«æã\\ -\hyperlink{fontsize}{Fontsize(記å·)}   \>フォントサイズを設定ã™ã‚‹\\ -\hyperlink{ketint}{Ketinit(options)}   \>\ketcindy ã‚’åˆæœŸåŒ–ã™ã‚‹\\ -\hyperlink{ptsie}{Ptsize(æ•°)}   \>表示ã™ã‚‹ç‚¹ã®å¤§ãã•ã‚’設定ã™ã‚‹\\ -\hyperlink{setax}{Setax(リスト)}  \>座標軸ã®æ›¸å¼ã‚’設定ã™ã‚‹\\ -\hyperlink{setcolor}{Setcolor(color,options)}  \>Windispgã§ã®æ画色を設定ã™ã‚‹\\ -\hyperlink{setmarklen}{Setmarklen(æ•°)} \>軸ã®ç›®ç››ã®é•·ã•ã‚’設定ã™ã‚‹\\ -\hyperlink{setorigin}{Setorigin(座標)} \>表示ã™ã‚‹åº§æ¨™è»¸ã®åŽŸç‚¹ã®ä½ç½®ã‚’設定ã™ã‚‹\\ -\hyperlink{setpen}{Setpen(æ•°)}   \>ç·šã®å¤ªã•ã‚’設定ã™ã‚‹\\ -\hyperlink{setpt}{Setpt(æ•°)}    \>表示ã™ã‚‹ç‚¹ã®å¤§ãã•ã‚’設定ã™ã‚‹\\ -\hyperlink{setscaling}{Setscaling(æ•°)}  \>縦方å‘ã®å€çŽ‡ã‚’設定ã™ã‚‹\\ -\hyperlink{setunitlen}{Setunitlen(æ•°)}  \>å˜ä½é•·ã‚’設定ã™ã‚‹\\ -\hyperlink{setwindow}{Setwindow()} \>æ画領域を設定ã™ã‚‹\\ -\\ -ã€æ画】\\ -\hyperlink{anglemark}{Anglemark(点リスト, options)} \>角ã®å°ã‚’入れる\\ -\hyperlink{addgraph}{AddGraph(name ,プロットデータ)} \>ユーザー定義ã®ãƒ—ロットデータをæç”»ã™ã‚‹\\ -\hyperlink{arrowdata}{Arrowdata(始点,終点,options)} \>2点間をçµã¶çŸ¢ç·šã‚’æã\\ -\hyperlink{arrowhead}{Arrowhead(点,æ–¹å‘,options)} \>点ã«çŸ¢ã˜ã‚Šã ã‘ã‚’æã\\ -\hyperlink{bezier}{Bezier(name, リスト,リスト,options )} \>å˜ç‹¬ã®ãƒ™ã‚¸ã‚§æ›²ç·šã‚’æã\\ -\hyperlink{beziersmooth}{Beziersmooth(name , リスト,options )} \>ãªã‚らã‹ãªãƒ™ã‚¸ã‚§æ›²ç·šã‚’æã。ãã®ï¼‘\\ -\hyperlink{beziersym}{Beziersym(name , リスト,options )} \>ãªã‚らã‹ãªãƒ™ã‚¸ã‚§æ›²ç·šã‚’æã。ãã®ï¼’\\ -\hyperlink{bowdata}{Bowdata(点リスト,options)} \>弓形をæã\\ -\hyperlink{bspline}{Bspline(name,リスト,options )} \>2次 Bスプライン曲線をæã\\ -\hyperlink{changestyle}{Changestyle(PD リスト, options)} \>æ画オプションを変更ã™ã‚‹\\ -\hyperlink{circledata}{Circledata(name,点リスト,options)} \>円ã¾ãŸã¯å¤šè§’形をæã\\ -\hyperlink{crosspoint}{Crosspoint(name,PD,PD,範囲リスト)} \>2曲線ã®äº¤ç‚¹ã‚’作る\\ -\hyperlink{cspline}{CRspline(name,リスト,options )} \>å˜ç‹¬ã®Catmull-Rom スプライン曲線をæã\\ -\hyperlink{deqplot}{Deqplot(name,å¼,変数å,åˆæœŸå€¤,options])} \>微分方程å¼ã®è§£æ›²ç·šã‚’æã\\ -\hyperlink{dotfilldata}{Dotfilldata(name , æ–¹å‘, PD , optionss)}  \>領域ã«ç‚¹ã‚’æ•·ãè©°ã‚ã‚‹\\ -\hyperlink{drawsegmark}{Drawsegmark(name,リスト,options)} \>線分ã«å°ã‚’ã¤ã‘ã‚‹\\ -\hyperlink{drawsegmark}{Segmark(name,リスト,options)} \>線分ã«å°ã‚’ã¤ã‘ã‚‹\\ -\hyperlink{drwpt}{Drawpoint([点,options])} \>点を表示ã™ã‚‹\\ -\hyperlink{drwpt}{Drwpt([点,options])}   \>点を表示ã™ã‚‹\\ -\hyperlink{ellipseplot}{Ellipseplot(name,list,str,options)} \>楕円をæã\\ -\hyperlink{enclosing}{Enclosing(name , [ä½ç½®ï¼Œæ–¹å‘,数å¼])} \>複数ã®æ›²ç·šã‹ã‚‰é–‰æ›²ç·šã‚’æã\\ -\hyperlink{expr}{Expr(文字列)}    \>\TeX æ•°å¼ã‚’書ã\\ -\hyperlink{exprrot}{Exprrot(ä½ç½®ï¼Œå‘ã,文字列)}    \>傾ã„ãŸ\TeX æ•°å¼ã‚’書ã\\ -\hyperlink{framedata}{Framedata(name , リスト)} \>矩形をæã\\ -\hyperlink{framedata}{Framedata2(name , リスト)} \>矩形をæã\\ -\hyperlink{hatchdata}{Hatchdata(name , æ–¹å‘, PD , optionss)}  \>領域ã«æ–œç·šã‚’引ã\\ -\hyperlink{htickmark}{Htickmark([横座標 , æ–¹å‘ , 文字])}  \>横軸ã«ç›®ç››ã‚Šã‚’æã\\ -\hyperlink{hyperbolaplot}{Hyperbolaplot(name,list,str,options)} \>åŒæ›²ç·šã‚’æã\\ -\hyperlink{implicitplot}{Implicitplot(name,str,,str,str,options)} \>陰関数ã®ã‚°ãƒ©ãƒ•ã‚’æã\\ -\hyperlink{joincrvs}{Joincrvs(name, PDリスト, options)} \>2ã¤ã®ãƒ—ロットデータをã¤ãªã’ãŸãƒ‡ãƒ¼ã‚¿ã‚’作る\\ -\hyperlink{letter}{Letter(「座標,ä½ç½®,文字列]ã®ãƒªã‚¹ãƒˆã€)}   \>文字列を表示ã™ã‚‹\\ -\hyperlink{letterrot}{Letterrot(「座標,æ–¹å‘,移動é‡,文字列])}   \>文字列を回転ã—ã¦è¡¨ç¤ºã™ã‚‹\\ -\hyperlink{lineplot}{Lineplot(name,2点ã®ãƒªã‚¹ãƒˆ,options)}  \>2点をçµã¶ç›´ç·šã‚’æã\\ -\hyperlink{listplot}{Listplot(name,点ã®ãƒªã‚¹ãƒˆ,options)}  \>点を線分ã§çµã¶\\ -\hyperlink{mkbeziercrv}{Mkbeziercrv(name,リスト,options)} \>作図ã—ãŸç‚¹ã‚’使ã£ã¦ãƒ™ã‚¸ã‚¨æ›²ç·šã‚’æã\\ -\hyperlink{mkbezierptcrv}{Mkbezierptcrv(リスト,options ) } \>制御点を自動é…ç½®ã—ã¦ãƒ™ã‚¸ã‚¨æ›²ç·šã‚’æã\\ -\hyperlink{mkcircle}{Mkcircle()}  \>幾何円ã®ã™ã¹ã¦ã®PD を作æˆã™ã‚‹\\ -\hyperlink{mksegments}{Mksegments()} \> 幾何線分ã®ã™ã¹ã¦ã®PD を作æˆã™ã‚‹\\ -\hyperlink{ovaldata}{Ovaldata(name, 点リスト,optionss)} \>角を丸ãã—ãŸçŸ©å½¢ã‚’æã\\ -\hyperlink{parabolaplot}{Parabolaplot(name,list,str,options)} \>放物線をæã\\ -\hyperlink{parabolaplot}{Parabolaplot(name,点リスト,options)} \>楕円をæã\\ -\hyperlink{paramark}{Paramark(点リスト,options)} \>角ã®å°ã‚’入れる\\ -\hyperlink{paramplot}{Paramplot(name,å¼,変数ã¨å®šç¾©åŸŸ,options)} \>媒介変数ã§è¡¨ã•ã‚ŒãŸæ›²ç·šã‚’表示ã™ã‚‹\\ -\hyperlink{partcrv}{Partcrv(name,点1,点2,PD)}  \>部分曲線をæã\\ -\hyperlink{plotdata}{Plotdata(name,å¼,変数ã¨å®šç¾©åŸŸ,options)}  \>関数ã®ã‚°ãƒ©ãƒ•ã‚’æã\\ -\hyperlink{pointdata}{Pointdata(name,点リスト,optionss)} \>点データを作る\\ -\hyperlink{polygonplot}{Polygonplot(name,点リスト,æ•´æ•°,options)} \>正多角形をæã\\ -\hyperlink{putintersect}{Putintersect(点å,PD1,PD2)} \>2曲線ã®äº¤ç‚¹ã‚’作る\\ -\hyperlink{putline}{PutonLine(点å,座標1,座標2)}   \>直線上ã«ç‚¹ã‚’作る\\ -\hyperlink{putoncurve}{PutonCurve(name,PD,åˆæœŸå€¤)} \>曲線上ã«ç‚¹ã‚’作る\\ -\hyperlink{putpoint}{Putpoint(点å,座標1,座標2)}   \>点を作る\\ -\hyperlink{putseg}{PutonSeg(点å,座標1,座標2)}   \>線分上ã«ç‚¹ã‚’作る\\ -\hyperlink{reflectdata}{Reflectdata(name,PD,点リスト,options)} \>プロットデータã®é¡æ˜ ã‚’作æˆ\\ -\hyperlink{reflectpoint}{Reflectpoint(点,対称点/対称軸)} \>点ã®é¡æ˜ ã‚’作æˆ\\ -\hyperlink{rotatedata}{Rotatedate(name,PD,角度,中心,options)} \>プロットデータを回転ã™ã‚‹\\ -\hyperlink{rotatepoint}{Rotatepoint(点,角度,中心)} \>点ã®ä½ç½®ã‚’回転ã™ã‚‹\\ -\hyperlink{rulerscale}{Rulerscale(点,リスト,リスト)} \>目盛を打ã¤\\ -\hyperlink{scaldedata}{Scaledata(name,PD,x,y,中心,options)}  \>点を拡大・縮å°ã™ã‚‹\\ -\hyperlink{scalepoint}{Scalepoint(点,比率ベクトル,中心)}  \>点ã®ä½ç½®ã‚’拡大・縮å°ã™ã‚‹\\ -\hyperlink{shade}{Shade(PDリスト , æ•°)}   \>閉曲線ã®å†…部ã«ã‚·ã‚§ãƒ¼ãƒ‰ã‚’ã‹ã‘ã‚‹\\ -\hyperlink{translatedata}{Translatedata(name,PD,ベクトル,options)} \>プロットデータを平行移動ã™ã‚‹\\ -\hyperlink{translatepoint}{Translatepoint(点,ベクトル)} \>点を平行移動ã™ã‚‹\\ -\hyperlink{vtickmark}{Vtickmark([横座標 , æ–¹å‘ , 文字])}  \>縦軸ã«ç›®ç››ã‚Šã‚’æã\\ - - \\ -ã€å¾®ç©åˆ†ãªã©ã€‘\\ -\hyperlink{derivative}{Derivative(関数å¼,変数,値)} \>関数ã®å¾®åˆ†ä¿‚数を求ã‚ã‚‹\\ -\hyperlink{integrate}{Integrate(関数å¼,変数,範囲,options)}  \>関数ã®å®šç©åˆ†å€¤ã‚’求ã‚ã‚‹\\ -\hyperlink{inversefun}{Inversefun(関数å¼,範囲,値)} \>逆関数値を求ã‚ã‚‹\\ - \\ -ã€ä½œè¡¨ã€‘\\ -\hyperlink{tabledata}{Tabledata("" , 縦横 ,除外 , options)} \>表ã®æž ã‚’作æˆã™ã‚‹\\ -\hyperlink{tabledatalight}{Tabledatalight("" , 縦横 ,除外 , options)} \>幾何点をæŒãŸãªã„表ã®æž ã‚’作æˆã™ã‚‹\\ -\hyperlink{tableseg}{Tableseg( 罫線リスト, 線種) } \>罫線ã®ç·šç¨®ã‚’指定ã™ã‚‹\\ -\hyperlink{changetablestyle}{ChangeTablestyle(罫線リスト, options)} \>Table ã®ç½«ç·šã®æ画オプションを変更ã™ã‚‹ã€‚\\ -\hyperlink{findcell}{Findcell(列番å·, 行番å·)} \>セルã®æƒ…å ±listã‚’è¿”ã™\\ -\hyperlink{putcell}{Putcell (列番å·, 行番å·, ä½ç½®, 文字)} \>セルã«æ–‡å­—列を入れる\\ -\hyperlink{putcol}{PutcoL (列番å·, ä½ç½®ï¼Œæ–‡å­—列リスト)} \>1列ã«é †ã«æ–‡å­—を書ã入れる\\ 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-\item KETpicã®èª­è¾¼ã¿ã«ã¯æ¬¡ã‚’実行ã™ã‚‹ï¼Ž\\ -\hspace*{2zw}load("C:/work/ketpic.Rdata") (C:/work/ã¯ä½œæ¥­ãƒ•ã‚©ãƒ«ãƒ€å)\\\hspace*{-12zw}\chuu ディレクトリã®å¤‰æ›´ã¯ setwd("c:/work") - -\item 文字列ã¯ã€€ "(ダブル)ã§å›²ã‚€\\ -\chuu 文字列ã®ä¸­ã«æ–‡å­—列を入れるã¨ã㯠' 㨠" を入れå­ã«ä½¿ã†ï¼Ž - -\item 関数ãªã©ã‚’引数ã¨ã™ã‚‹ã¨ãã¯ï¼Œæ–‡å­—列ã¨ã™ã‚‹ï¼Ž\\ -\hspace*{2zw}例)G$<$- Plotdata( "x\verb|^|2", "x=c(0,1)") -%\hspace*{2zw}注)プログラミングã§ã¯æ–‡å­—列を実行ã™ã‚‹ã‚³ãƒžãƒ³ãƒ‰ evstr, execstr ãŒé‡è¦ã§ã‚る. -%\item -%数リスト,文字列,行列ãŒæ··ã–ã£ãŸãƒ‡ãƒ¼ã‚¿ï¼ˆåŸºæœ¬ãƒ‡ãƒ¼ã‚¿ï¼‰ã®ãƒªã‚¹ãƒˆã¯ã§ããªã„. -%Mixã¯æ··åˆãƒªã‚¹ãƒˆã‚’扱ã†ï¼Ž -%\hspace*{3zw}基本データ$\longrightarrow$æ··åˆåˆ—$\longrightarrow$æ··åˆãƒªã‚¹ãƒˆ% -%$\longrightarrow$æ··åˆãƒªã‚¹ãƒˆ$\longrightarrow\cdots$ - -\item \verb|\|(ãƒãƒƒã‚¯ã‚¹ãƒ©ãƒƒã‚·ãƒ¥ï¼‰ã‚’出力ã™ã‚‹ã«ã¯ï¼’ã¤ä¸¦ã¹ã¦ã‹ã. - - -\item 注釈㯠\verb|#| - -%\item 実行ã®ä¸­æ–­ã¯ã€€abort - - -%\item 数値微分㯠derivative, 数値ç©åˆ†ã¯ integrate(ã¾ãŸã¯intg) - -%\chuu Derivative, Integrate å‚ç…§ - -\item æ•°ã¨æ–‡å­—列ã®å¤‰æ›\\ -\hspace*{2zw}as.character(æ•°)\\ -\hspace*{2zw}as.numeric(文字列)\\ -\hspace*{2zw}eval(parse(text=文字列)))\\ -\hspace*{2zw}sprintf(書å¼,\ æ•°) 書å¼ä»˜ã文字列 - -\item ç•°ãªã‚‹åž‹ã®ãƒ‡ãƒ¼ã‚¿ã‹ã‚‰ãƒªã‚¹ãƒˆã‚’作るã«ã¯listを用ã„る.\\ -\hspace*{2zw}作æˆã€€ã€€ã€€L\verb|<-| list(... , ... );\\ -\hspace*{2zw}å–り出ã— A\verb|<-| L[[i]]\\ -\hspace*{2zw}部分リスト L[V]\ (V ã¯ãƒ™ã‚¯ãƒˆãƒ«)\\ -\hspace*{2zw}ç½®ãæ›ãˆã€€L[[i]]\verb|<-| ...\\ -%\hspace*{2zw}消去   L[[i]]<- NULL\\ -\hspace*{2zw}é•·ã•ã€€ã€€ã€€length(L)\\ -\hspace*{2zw}追加   L\verb|<-| c(L1, L2)\\ -\hspace*{2zw}çµåˆã€€ã€€ã€€c(L1,L2,...)\\ -\hspace*{2zw}空リスト list()\\ -\hspace*{2zw}タイプを見る is.list(L)(論ç†å€¤ï¼‰ã¾ãŸã¯ mode(L) - -\end{enumerate} - -\section{Rã®ãŸã‚ã®è¿½åŠ ã‚³ãƒžãƒ³ãƒ‰} - -\tab{Member(D, L)}DãŒLã®è¦ç´ ã§ã‚ã‚Œã°true,ãã†ã§ãªã‘ã‚Œã°falseã‚’è¿”ã™ï¼Ž\\ -\chuu Lã¯ãƒ™ã‚¯ãƒˆãƒ«ã¾ãŸã¯ list - -\tab{Flattenlist(L)}Lを平準化ã—ã¦å˜å±¤ã®ãƒªã‚¹ãƒˆã‚’作る - -%\tab{Mix(D1, D2, $\cdots$)}FD列,MS,MLã‹ã‚‰ï¼ˆï¼‘段上ã®ï¼‰MSã¾ãŸã¯MLã‚’ä½œæˆ - -%\tab{Mixadd(L, D)}L(MSã¾ãŸã¯ML)ã«Dã‚’è¦ç´ ã¨ã—ã¦åŠ ãˆã‚‹ - -\tab{Mixdisp({\it list})}listã®è¦ç´ ã‚’ç”»é¢ã«ç°¡æ˜“表示 - -%\tab{Mixjoin(L1, L2, ...)}è¦ç´ ã‚’åˆä½µã—ãŸlistを作る\\ -%\rei L1$<$- list(G1,G2,3); L2$<$- list(G3, "a")\\ -%\reicr L$<$- Mixjoin(L1,L2, c(3,6))\\ -%\reicr \hspace{2cm}Lã¯G1, G2, 3, G3, "a", c(3, 6)ã®list\\ -%\chuu \verb|c() , list()| ã¯ç„¡è¦–ã•ã‚Œã‚‹ - -%\tab{MixL(D1,D2, $\cdots$)}MS, MLã‹ã‚‰ï¼ˆï¼‘段上ã®ï¼‰MLã‚’ä½œæˆ - -%\tab{Mixlength(L)}L(MSã¾ãŸã¯ML)ã®è¦ç´ ã®å€‹æ•° - -%\tab{Mixop(N, Data)}Dataã®N番目ã®è¦ç´ ï¼ˆDataã¯MS, ML) - -%\tab{MixS(D1,D2, $\cdots$)}基本データ列ã‹ã‚‰MSã‚’ä½œæˆ - -%\tab{Mixsub(範囲,L)}Lã®ç¯„囲(リスト)ã®è¦ç´ ã‹ã‚‰ãªã‚‹éƒ¨åˆ†MSã¾ãŸã¯ML\\ -%\rei S$<$- Mixsub( 2; 5, L); - -%\tab{Mixtype(Data)}DataãŒåŸºæœ¬ãƒ‡ãƒ¼ã‚¿ãªã‚‰ï¼‘,MSãªã‚‰ï¼’,MLãªã‚‰ï¼“を返㙠- -\tab{Op(N,\ Data)}Dataã®N番目ã®è¦ç´ ï¼ˆDataã¯æ–‡å­—列,ベクトル,list) - -\tab{Assign(å¼, 変数å, 値, ・・・)}\\ -\tab{}変数å(文字列)ã«å€¤ã‚’割り当ã¦ãŸæ–‡å­—列を返ã™\\ -\chuu 値ã¯ï¼Œæ•°ï¼Œæ–‡å­—列,数行列,Scilablist\\ -\rei A$<$- 0.4; B$<$- c(2,1)\\ -\reicr Fn$<$- Assign("A*x\^{}2+B(1)*y\^{}2","A", A, "B", B) - -\tab{Assignset(変数å, 値, ・・・)}% -割り当ã¦å¤‰æ•°ãƒ†ãƒ¼ãƒ–ルをセットã™ã‚‹\\ -\rei Assignset("A", 0.4, "B", c(2,1), "C", list(...), "D", "string") - -%\tab{Assign(å¼)}å¼æ–‡å­—列ã®å¤‰æ•°ã«å‰²ã‚Šå½“ã¦å¤‰æ•°ãƒªã‚¹ãƒˆã‚’割り当ã¦ãŸæ–‡å­—列を返ã™\\ -%\rei Assign("A", 0.4, "B", c(2,1))\\ -%\reicr Fn$<$- Assign("A*x\^{}2+B(1)*y\^{}2") - -\tab{Assignset("?"+変数å)}変数åã®å€¤ã‚’è¿”ã™\\ -\rei Assignset("?A") - -\tab{Assignset()}割り当ã¦å¤‰æ•°ãƒ†ãƒ¼ãƒ–ルをåˆæœŸåŒ–\\ -%\rei Assign("A", 0.4, "B", c(2,1))\\ -%\reicr Assign() - -\tab{Assignadd(変数å, 値, ・・・)}\\ -\tab{}割り当ã¦å¤‰æ•°ãƒ†ãƒ¼ãƒ–ルã«è¿½åŠ ã™ã‚‹\\ -\rei Assignadd("C", 0.4, "D", c(2,1)) - -\tab{Assignrep(変数å, 値, ・・・)}\\ -\tab{}割り当ã¦å¤‰æ•°ãƒ†ãƒ¼ãƒ–ルを置ãæ›ãˆã‚‹\\ -\rei Assignrep("C", 0.8) - -\tab{Prime(文字列)}文字列ã®æœ€å¾Œã« " ã‚’ã¤ã‘ã‚‹\\ -\rei Prime("A")\\ -\rei Prime() (" ã ã‘を出力)\\ -\chuu Assign("A\bq ") ã¨ã—ã¦ã‚‚よã„. - - -%\tab{Strop(N,\ 文字列)}文字列ã®N番目ã®æ–‡å­— - -%\tab{Subs(代入å¼,\ 有ç†å¼)}有ç†å¼ã«ä»£å…¥å¼ã§ä¸Žãˆã‚‰ã‚Œã‚‹æ•°å€¤ã‚’代入ã—ãŸå€¤ã‚’è¿”ã™\\ -%\rei X$<$- poly(0,"X")\\ -%\reicr F$<$- X\verb|^|2+3\verb|*|X+3\\ -%\reicr V$<$- Subs("X$<$- 5",\ F) - -\tab{XMIN, XMAX, YMIN, YMAX}\\ -\tab{}ウィンドウ範囲 -(デフォルト$-5\leqq x\leqq 5,\ -5\leqq y\leqq 5$) - -\tab{Ptne(),Ptnw(),Ptsw(),Ptse()}\\ -\tab{}フレーム枠ã®å„点 - -\tab{ThisVersion}Ketpicã®ãƒãƒ¼ã‚¸ãƒ§ãƒ³ - -\tab{Fracform(x\{, 分æ¯ã®æœ€å¤§å€¤\})}\\ -\tab{}xã«è¿‘ã„分数(文字列)を返ã™\\ -\chuu 分æ¯ã®æœ€å¤§å€¤ã®ãƒ‡ãƒ•ã‚©ãƒ«ãƒˆã¯100000\\\ -\rei Fracform(c(2.36)) - -\tab{Dotprod(v1,v2)}å†…ç© - -\tab{Crossprod(v1,v2)}å¤–ç© - -\tab{Derivative(関数文字列,変数å,\{値ベクトル\}}\\ -\tab{}関数ã®å¾®åˆ†ä¿‚数を求ã‚る.\\ -\rei Derivative("x\verb|^|2+y", c("x","y"),c(2, 3))\\ -%\rei Assign("A", 3)\\ -%\reicr Derivative(Assign("x\verb|^|2+A*y"), "c(x,y)", c(2, 3), 2)\\ -%\chuu 変数ã®ç•ªå·ã‚’指定ã—ãªã„ã¨ãã¯ï¼Œåˆ—ベクトルã§è¿”ã™ï¼Ž - -\tab{Integrate(関数文字列,変数文字列,ç©åˆ†åŒºé–“(数リスト))}\\ -\tab{}関数ã®å®šç©åˆ†ã‚’求ã‚る.\\ -\rei Integrate("sin(x)","x",c(0,pi))\\ -\chuu 区間(リスト)ã¯ç©åˆ†ã‚’分ã‘ã¦è¨ˆç®—ã™ã‚‹ã¨ãã«æŒ‡å®š\\ -%\reicr Fn(x)","if x>0,Y$<$- 1,else,Y$<$- -1,end")|\\ -\reicr \verb|Integrate("Fn(x)","x",c(-2,0,3))|\\ - -%\tab{Thetadegree()}平行投影ã§$\theta$(度) - -%\tab{Phidegree()}平行投影ã§$\varphi$(度) - -%\vspace{-2zw} - -\section{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 ã§å€¤ã‚’得られる. - -\tab{Setscaling({\it ratio})}\\ -\tab{}縦ã®æ¨ªã«å¯¾ã™ã‚‹æ¯”ã‚’{\it ratio}ã«è¨­å®šï¼ˆãƒ‡ãƒ•ã‚©ãƒ«ãƒˆã¯ 1)\\ -\rei Setscaling(2)\\ -\chuu ウィンドウも連動 - -\tab{Setax(線種, 横軸å, ä½ç½®, 縦軸å, ä½ç½®, 原点å, ä½ç½®)}\\ -\tab{}座標軸を設定(引数 7 個)\\ -\rei Setax("a", "t", "s", "u", "w", "O", "nw")\\ -\chuu 線種ã¯ã€€d : line , a : arrow\\ -\chuu arrowã®ã¨ã "a0.5" ã®ã‚ˆã†ã«ï¼ŒçŸ¢å°ã®å¤§ãã•ã‚’指定ã§ãる.\\ -\chuu ""ã¨ã™ã‚‹ã¨ï¼Œç¾åœ¨ã®è¨­å®šã‚’変更ã—ãªã„.\\ -\chuu 以é™ãŒ "" ã®ã¨ãçœç•¥ã§ãる.ã¾ãŸé€”中ã‹ã‚‰ã‚‚指定ã§ãã‚‹\\ -\rei Setax("a"\,)\\ -\rei Setax(6, "O", "se"\,) (6番目ã‹ã‚‰æŒ‡å®šï¼‰\\ -\chuu ä½ç½®ã¯"n", "s", "e", "w", "ne", "nw", "se", "sw"\\ -\chuu "s2w3"ã®ã‚ˆã†ã«å¾®å°ç§»å‹•é‡ã‚’付加ã—ã¦ã‚ˆã„.\\ -\chuu 空引数ã®ã¨ã,ç¾åœ¨ã®è¨­å®šå€¤ã‚’表示 - -\tab{Setorigin(\,点\,)}座標軸ã®åŽŸç‚¹ã‚’指定(デフォルトã¯$(0,\ 0)$)\\ -\chuu 空引数ã®ã¨ã,ç¾åœ¨ã®è¨­å®šå€¤ã‚’表示 - -\tab{Setpen( å€çŽ‡ )}ç·šã®å¤ªã•ã‚’指定(標準ã‹ã‚‰ã®å€çŽ‡ã§ï¼‰\\ -\rei Setpen(1.5)\\ -\chuu 空引数ã®ã¨ã,ç¾åœ¨ã®è¨­å®šå€¤ã‚’表示 - -\tab{Setpt( å€çŽ‡ )}Drwptã®ç‚¹ã®å¤§ãã•ã‚’指定(標準ã‹ã‚‰ã®å€çŽ‡ã§ï¼‰\\ -\chuu 空引数ã®ã¨ã,ç¾åœ¨ã®è¨­å®šå€¤ã‚’表示 - -\tab{Setmarklen( å€çŽ‡ )}目盛りã®å¤§ãã•ã‚’指定(標準ã‹ã‚‰ã®å€çŽ‡ã§ï¼‰\\ -\chuu 目盛りã®å¤§ãã•ã¯å¾®å°ç§»å‹•é‡ã®å˜ä½ã¨ã—ã¦ã‚‚用ã„られる.\\ -\chuu 空引数ã®ã¨ã,ç¾åœ¨ã®è¨­å®šå€¤ã‚’表示 - -\tab{Setunitlen("å˜ä½é•·")}å˜ä½é•·ã‚’指定ã™ã‚‹\\ -\chuu Beginpicture("")ã¨ã™ã‚‹ã¨æŒ‡å®šã•ã‚ŒãŸå˜ä½é•·ãŒä½¿ã‚れる.\\ -\chuu 空引数ã®ã¨ã,ç¾åœ¨ã®è¨­å®šå€¤ã‚’表示 -%\tab(13zw){resetunitlen()}コード書ã出ã—を終ãˆã‚‹ - -\tab{Setarrow(éƒã®å¤§ãã• \{, é–‹ã角 \{, éƒä½ç½® \{, 太ã•\}\}\} \{, å½¢ã¨ä½ç½®\})}\\ -\tab{}矢å°ã®å½¢çŠ¶ã‚’指定ã™ã‚‹\\ -\rei Setarrow(0.5, 1, 1, 0.7, "tf"\,)\\ -\chuu デフォルト 大ãã•ï¼‘ ,角度 18°,ä½ç½®ã¯çµ‚点\\ -\chuu 5以下ã®é–‹ã角を指定ã—ãŸã¨ãã¯ï¼Œ18°ã‹ã‚‰ã®å€çŽ‡ã¨ã™ã‚‹\\ -\chuu 形状\ "l" :ライン "f" :塗り(デフォルト)\\ -\chuu ä½ç½®å¾®èª¿æ•´\ "c":中央 "b":下 "t":トップ(〃)\\ -\chuu 空引数ã®ã¨ã,ç¾åœ¨ã®è¨­å®šå€¤ã‚’表示 - -\tab{Ketinit(\,)}定数をデフォルトã«åˆæœŸåŒ– - -\subsection{空間(平行投影)} - -\tab{Setangle(\,$\theta, \varphi$\,)}角度(°)を指定\\ -\chuu デフォルト値㯠$\theta$<$- 60,\ \varphi$<$- 30$\\ -\chuu 空引数ã®ã¨ã,ç¾åœ¨ã®è¨­å®šå€¤ã‚’表示 - -\tab{Initangle(\,)}デフォルト値ã«æˆ»ã™ - -\subsection{空間(一点投影)} - -\tab{Setpers(\,注視点,視点\,)}一点投影ã®FocusPoint,\ EyePoint を指定\\ -\chuu デフォルト値㯠FocusPoint$<$- c(0,0,0),\ EyePoint$<$- c(5,5,5) - -\tab{Setpers()}ç¾åœ¨ã®FocusPoint,\ EyePoint を表示\\ -\chuu 空引数ã®ã¨ã,ç¾åœ¨ã®è¨­å®šå€¤ã‚’表示 - -\tab{SetstereoL(\,$R,\ \theta,\ \varphi,\ \varDelta$\,)}% -原点を注視点ã¨ã—ã¦ï¼Œç©ºé–“極座標ã«ã‚ˆã‚Šå®šã¾ã‚‹å·¦ç›®ã®ä½ç½®ã‚’\\ -\tab{}視点ã«ã‚»ãƒƒãƒˆï¼ˆ$\varDelta$ã¯ç›®ã®é–“隔) - -\tab{SetstereoR(\,$R,\ \theta,\ \varphi,\ \varDelta$\,)}% -原点を注視点ã¨ã—ã¦ï¼Œç©ºé–“極座標ã«ã‚ˆã‚Šå®šã¾ã‚‹å³ç›®ã®ä½ç½®ã‚’\\ -\tab{}視点ã«ã‚»ãƒƒãƒˆï¼ˆ$\varDelta$ã¯ç›®ã®é–“隔) - -\section{プロットデータã®ä½œæˆ} - -\subsection{å¹³é¢å›³å½¢} - -\tab{Plotdata(関数,範囲,オプション)}\\ -\tab{}関数ã®ã‚°ãƒ©ãƒ•ã®PDを作æˆ\\ -\rei G1$<$- Plotdata(\,"sin(x)",\ "x= c($-2$*pi,\ 2*pi)")\\ -\chuu 範囲を "x" ã¨ã™ã‚‹ã¨ï¼ŒXMINã‹ã‚‰XMAXã«ã¨ã‚‹ï¼Ž\\ -\chuu x 以外ã®å¤‰æ•°ã‚’使ã†ã¨ãã¯é–¢æ•°ã«ä½¿ã‚ã‚Œã¦ã„ãªã„ã‹ã‚’注æ„.\\ -\chuu オプション\\ -\hspace*{16zw}\tab[6zw]{"N=$\cdots$"}点ã®å€‹æ•°\\ -\hspace*{16zw}\tab[6zw]{"E=c($\cdots$)"}除外点ã®ãƒªã‚¹ãƒˆ\\ -\hspace*{16zw}\tab[6zw]{"E=関数"}関数ã®ï¼ç‚¹ã¯é™¤å¤–\\ -\hspace*{16zw}\tab[6zw]{"D=$\cdots$"}連続é™ç•Œå€¤ï¼ˆã“れ以上離れãŸã‚‰çµã°ãªã„)\\ -\chuu デフォルトã¯N=50, D=Inf \\ -%\chuu 関数㯠function ã§ä¸Žãˆã¦ã‚‚よã„.\\ -\rei G1$<$- Plotdata("1/x", "x","N=200", "E=c(0)", "D=1")\\ -\rei G2$<$- Plotdata("1/((x-1)*(x+2))", "x", "E=(x-1)*(x+2)")\\ - -\tab{Listplot(点ã®ãƒ™ã‚¯ãƒˆãƒ«ã¾ãŸã¯åˆ—ã¾ãŸã¯list)}\\ -\tab{}折れ線ã®PDを作æˆ. ãŸã ã—ã€ç‚¹ã¯ç·šåˆ†ã§çµã¶. \\ -\rei G2$<$- Listplot(c(c(3,2),c(5,4)))\\ -\rei G2$<$- Listplot(c(3,2),c(5,4)) - -\tab{Lineplot(点A, 点B\{ , é•·ã•ï¼ŒåŠç›´ç·š\})}\\ -\tab{}線分ABを延長ã—ãŸç·šåˆ†ã®PDã‚’ä½œæˆ \\ -\rei G3$<$- Lineplot(c(3,2),c(5,4))\\ -\rei G4$<$- Lineplot(A, B, "+")\\ -\reicr åŠç›´ç·šAB(Bå´ã«å»¶é•·ï¼‰\\ -\chuu é•·ã•ã®ãƒ‡ãƒ•ã‚©ãƒ«ãƒˆã¯ç‰‡å´100 - -\tab{Paramplot(パラメトリック関数,範囲,オプション)}\\ -\tab{}パラメトリック関数ã®ã‚°ãƒ©ãƒ•ã®PDを作æˆ\\ -\chuu t 以外ã®å¤‰æ•°ã‚’使ã†ã¨ãã¯é–¢æ•°ã«ä½¿ã‚ã‚Œã¦ã„ãªã„ã‹ã‚’注æ„\\ -%\chuu 関数㯠function ã§ä¸Žãˆã¦ã‚‚よã„.\\ -\rei G3$<$- Paramplot(\,"c(cos(t),\ sin(t))",\ "t=c(0, 2*\%pi)")\\ -%\rei G4$<$- Paramplot(Fnx, Fny, "t=c(0, 1)") - -\tab{Rotatedata(PDã¾ãŸã¯ç‚¹,角度\{,中心\})}\\ -\tab{}å¹³é¢ã®PDを回転ã—ãŸPDã‚’ä½œæˆ \\ -\rei G4$<$- Rotatedata(G1,pi/4) - -\tab{Translatedata(PD,\ xæ–¹å‘ yæ–¹å‘)}\\ -\tab{}PDを平行移動ã—ãŸPDã‚’ä½œæˆ \\ -\rei G5$<$- Translatedata(\,G1,\ 3,\ $-1$\,) - -\tab{Scaledata(PD, xæ–¹å‘, yæ–¹å‘\{,中心\})}\\ -\tab{}PDを拡大(縮å°)ã—ãŸPDã‚’ä½œæˆ \\ -\rei G6$<$- Scaledata(\,G1,\ 2,\ 1/3\,) - -\tab{Reflectdata(PD,点)}点対称移動ã—ãŸPDを作æˆ\\ -\tab{Reflectdata(PD, c(\,点1,点2\,))}\\ -\tab{}線対称移動ã—ãŸPDを作æˆ\\ -\rei G7$<$- Reflectdata(\,G1,\ c(0,0)\,)\\ -\rei G8$<$- Reflectdata(\,G1,\ c(\,c(0,0),\ c(0,1)\,)\,) - -\tab{Pointdata(PD,\ $\cdots$)}PDã®ç¯€ç‚¹ã®listを作æˆ\\ -\rei G9=Pointdata(G1)\\ -\chuu Drwpt(G9)ãªã©ã§ï¼Œç‚¹ã®ãƒ—ロットãŒã§ãる. - -\tab[21zw]{Circledata(中心,\ åŠå¾„\ \{,\ オプション\}\})}円ã®PDを作æˆ\\ -\rei G10$<$- Circledata(\,c(3,1),\ 2\,) \\ -\chuu オプション\\ -\hspace*{16zw}\tab[5zw]{"R=..."}$\theta$ã®ç¯„囲\\ -\hspace*{16zw}\tab[5zw]{"N=..."}点ã®å€‹æ•°\\ -\rei G10a$<$- Circledata(\,c(3,1),\ 2,\ "R=c(0,\ pi/2)"\,)\\ -\rei G10b$<$- Circledata(\,c(3,1),\ 2,\ "N=100"\,) - -\tab{\,Framedata(P,\ dx\{,\ dy\})\,}% -点Pを中心ã«$\pm$dx,\ $\pm$dyã®çŸ©å½¢ï¼ˆdyã‚’çœç•¥ã™ã‚‹ã¨dy$<$- dx)\\ -\rei G3$<$- Framedata(c(3,\ 1),\ 0.5\,) - -\tab[12zw]{\,Framedata(${\rm c}(x_1,\ x_2),\ {\rm c}(y_1,\ y_2)$)\,\\}% -\tab{}$x_1 \leqq x \leqq x_2,\ y_1 \leqq y \leqq y_2$ã®çŸ©å½¢ã®PDを作æˆï¼ˆå³ä¸Šã‹ã‚‰å時計)\\ -\chuu 引数ãŒç©ºã®ã¨ã,Setwindowã§æŒ‡å®šã—ãŸæž \\ -\rei G1$<$- Framedata(${\rm c}(-2,\ 3)$,\ ${\rm c}(1,\ 4)$\,) \\ -\rei G2$<$- Framedata() - -\tab{Hatchdata( パターン文字(list)\{, 開始点\}, (é–‰)曲線ã®åˆ—\{,kaku\{,haba\}\,\}\,)}\\ -\tab{}パターンã¨ä¸€è‡´ã™ã‚‹é ˜åŸŸã‚’斜線塗りã™ã‚‹PDを作æˆ\\ -\rei G1$<$- Hatchdata(list("io"),\ list(g1,g2),\ list(g3)\,)\\ -\mbox{}\hfill(i : 内部,o: 外部)\\ -\chuu 開始点ãŒæŒ‡å®šã•ã‚ŒãŸã¨ã\\ -\hfill(仮想的ã«ï¼‰ãã®ç‚¹ã‚’通る斜線ã‹ã‚‰æã始ã‚ã‚‹\\ -%\chuu パターンãŒãƒªã‚¹ãƒˆã®ã¨ã,ã©ã‚Œã‹ã¨ä¸€è‡´ã™ã‚‹é ˜åŸŸã‚’斜線塗り\\ -\chuu% -\begin{mini}{23zw} -kakuã¯æ–œç·šã®å‚¾ã(def=45),habaã¯é–“隔(def=1) -\end{mini}\vspace{1mm}\\ -\rei G2$<$- Hatchdata(\,list("ii"),\ O,\ list(G1),\ $-45$,\ 1.5\,)\\ -\chuu 曲線リスト内ã®PDã¯éš£æŽ¥ã®é †ã«æŒ‡å®š\\ -\chuu é–‰ã˜ã¦ã„ãªã„ã¨ã\\ -\hspace*{18zw}(1)æ–¹å‘ "s","n","w","e" を指定ã™ã‚‹\\ -\hspace*{18zw}(2)窓枠ã¨ã¡ã‚‡ã†ã©2点ã§äº¤ã‚ã‚‹å ´åˆã€é ˜åŸŸã®ç‚¹ã‚’指定\\ -\hspace*{18zw}(3)指定ã—ãªã‘ã‚Œã°ç«¯ç‚¹ã‚’ç›´ç·šã§çµã¶.\\ -\rei G3$<$- Hatchdata(list("ii),\ list(g1,"s"),\ list(g2,\ c(3,0))\,) - -\tab{Hatchdata( 領域ã®ç‚¹ï¼‰\{, 開始点\}, (é–‰)曲線listã®åˆ—\{,kaku\{,haba\}\,\}\,)}\\ -\tab{}点(ã®ã©ã‚Œã‹ï¼‰ãŒå«ã¾ã‚Œã‚‹é ˜åŸŸã‚’斜線塗り\\ -\rei F4$<$- Hatchdata(list(A,B,C),\ \ list(G1),\ list(G2,G3)\,)\\ -\hspace*{4zw}\chuu % -\begin{mini}{23zw} -包å«ãƒ‘ターンãŒç‚¹A, B, Cã®ã©ã‚Œã‹ã¨ä¸€è‡´ã™ã‚‹é ˜åŸŸã‚’斜線塗り(領域ã¯éš£æŽ¥ã™ã‚‹ã‚‚ã®ã¨ã™ã‚‹ï¼‰ -\end{mini}\vspace{2mm} - -%\tab{enclosing( P, PDリスト )}PD列ã‹ã‚‰Pを囲む閉曲線ã¨ãªã‚‹éƒ¨åˆ†æ›²ç·šã®PD列を作æˆ\\ -%\rei G1$<$- enclosing(\,c(1,0),\ c(g1,\ g2,\ invert(g3))\,)\\ -%\chuu PD列ã¯éš£æŽ¥é †ã«æŒ‡å®šã™ã‚‹ï¼ˆå‘ããŒä¸€è‡´ã™ã‚‹ã‚ˆã†ã«ã™ã‚‹ï¼‰ - -%\tab{enclosing( n, PDリスト )}% -%PD列ã‹ã‚‰ã§ãる閉曲線ã®ã†ã¡n番目ã®PD列を作æˆ\\ -%\rei G2$<$- enclosing(\,1,\ c(g1,\,g2,\,invert(g3))\,)\\ -%\chuu 0を指定ã™ã‚‹ã¨ï¼Œå…¨ã¦ã®é–‰æ›²ç·šã®ãƒªã‚¹ãƒˆã‚’è¿”ã™ï¼Ž - -\tab{Enclosing( PDリスト\{, 始点ã®è¿‘ãã®ç‚¹\} )}\\ -\tab{}PD列ã®ç›´è¿‘ã®äº¤ç‚¹ã‚’çµã‚“ã§é–‰æ›²ç·šã‚’作æˆ\\ -\rei G2$<$- Enclosing(list(G1,\,invert(G2),\,G3),\,c(2,1)\,)\\ -\tab[14zw]{}G1㨠(最後ã®)G3ã®äº¤ç‚¹ã®ã†ã¡ï¼Œc(2,1)ã«è¿‘ã„点ã‹ã‚‰å§‹ã‚ã‚‹\\ -\chuu 交点ãŒï¼‘個ã®å ´åˆã¯ï¼Œç‚¹ã‚’çœç•¥ã—ã¦ã‚ˆã„. - -\tab{Dotfilldata( パターン文字列(リスト)\{, é–‹ 始点\}, -(é–‰)曲線PDリストã®åˆ—\{,濃ã•\})}\\ -\tab{}パターンã¨ä¸€è‡´ã™ã‚‹é ˜åŸŸã‚’点æã™ã‚‹PDを作æˆ\\ -\rei Fd$<$- Dotfilldata("ii",list(G1),list(G2),0.7)\\ -\chuu 濃ã•$d$ã¯ã€€$0< d \leqq 1$(デフォルトã¯$0.5$)\\ -\chuu 書ã出ã—ã¯ï¼ŒDrwptを用ã„る. - -\tab{Arrowdata}矢å°ã®PDを作æˆï¼ˆArrowlineå‚照)\\ -\chuu ã‚„ã˜ã‚Šã¯å¡—ã‚Šã¤ã¶ã•ãšï¼Œç·šãƒ‡ãƒ¼ã‚¿ã®ã¿ - -\tab{Arrowheaddata}ã‚„ã˜ã‚Šã ã‘ã®PDを作æˆï¼ˆArrowheadå‚照) - -\tab[20zw]{Bowdata(\,$\mbox{点A},\ \mbox{点B}$\{,\ 曲ãŒã‚Š\{,\ 切り\}\,\}\,)}\\ -\tab{}弓形ã®PDを作æˆ\\ -\chuu 曲ãŒã‚Šï¼šå¼§ã®æ›²ãŒã‚Šï¼ˆãƒ‡ãƒ•ã‚©ãƒ«ãƒˆã¯1)\\ -\chuu 切り:中央ã«å…¥ã‚Œã‚‹åˆ‡ã‚Šã®é•·ã•ï¼ˆãƒ‡ãƒ•ã‚©ãƒ«ãƒˆã¯0)\\ -\chuu 点Aã‹ã‚‰Bã«å時計ã¾ã‚ã‚Šã«å¼§ã‚’ã‹ã\\ -\rei G$<$- Bowdata(\,c(2,\ 1),\ c(3,\ 4),\ 0.8,\ 0.5\,) - -%\tab{Bowmiddle(\,$\mbox{点A},\ \mbox{点B}$\{,\ 曲ãŒã‚Š\})}\\ -%\tab{}弓形ã®ä¸­ç‚¹ã¨è§’ã®listを返㙠- -\tab{Bowmiddle(\,弧データ\ )}弓形ã®ä¸­ç‚¹ã‚’返㙠- -\tab{Splinedata(点データ\{, オプション\}\})}\\ -\tab{}spline曲線ã®PDを作æˆ\\ -%\chuu ファイルã¯ï¼Œspace, comma, tab 区切りã®textファイル\\ -%\chuu 開始ä½ç½®ï¼šãƒ•ã‚¡ã‚¤ãƒ«ã®èª­è¾¼ã¿é–‹å§‹è¡Œã¨åˆ—.defaultã¯c(2,\ 1)\\ -\chuu 点データã¯ãƒªã‚¹ãƒˆã¾ãŸã¯PD\\ -\chuu オプション:\\ -\hspace*{18zw}"N$<$- 点ã®å€‹æ•°" (デフォルトã¯50)\\ -\hspace*{18zw}"C" (閉曲線ã§ã‚¹ãƒ ãƒ¼ã‚ºã«ã¤ãªã)\\ -%\rei Fs$<$- Splinedata("c:/data.txt",\ c(2,4),\ "N$<$- 100")\\ -\rei Fs$<$- Splinedata(PL, "N$<$- 200", "C")(PLã¯ç‚¹ãƒ‡ãƒ¼ã‚¿ï¼‰ - -%\tab{Skeleton2data(\,å¹³é¢æ›²ç·šlist1,平é¢æ›²ç·šlist2\{,大ãã•% -%\{,\ é è¿‘ã®é–¾å€¤\}\}\,)}\\ -%\tab{}list2ã§éš ã•ã‚Œã‚‹list1ã®ã‚¹ã‚±ãƒ«ãƒˆãƒ³ãƒ‡ãƒ¼ã‚¿ã‚’ä½œæˆ - -\tab{Anglemark(A, B, C \{, サイズ \})}\\ -\tab{}$\angle \mathrm{ABC}$ã®é–“ã®è§’度記å·ã‚’作æˆ\\ -\chuu BAã‹ã‚‰BCã¸å時計回りã«æã\\ -\chuu サイズã®ãƒ‡ãƒ•ã‚©ãƒ«ãƒˆã¯0.5 - -\tab{Paramark(A, B, C \{, サイズ\})}\\ -\tab{}$\angle \mathrm{ABC}$ã®é–“ã®è§’度記å·ï¼ˆå¹³è¡Œå››è¾ºå½¢ï¼‰ã‚’ä½œæˆ - -%\tab{Sumfun(\{ 定数項, \}一般項, 添字ã®ãƒªã‚¹ãƒˆï¼Œå¤‰æ•°ã®ç¯„囲,\{ 点ã®å€‹æ•° \})}\\ -%\tab{} $\displaystyle c+\sum_{k= a}^{b}f(x,\ k)$ã®PDを作æˆï¼ˆ{\bf Scilabã«è¿½åŠ })\\ -%\chuu 定数項ãŒ0ã®ã¨ãã¯çœç•¥ã§ãる.\\ -%\chuu 点ã®å€‹æ•°ã¯ "N$<$- 個数" ã§æŒ‡å®šï¼ˆãƒ‡ãƒ•ã‚©ãƒ«ãƒˆã¯çµ‚ã‚ã‚Šã¾ã§ï¼‰\\ -%\rei G1$<$- Sumfun(1, "x\verb|^|n/factorial(n)", "n$<$- 1:5", "x$<$- c($-2,\ 2)$") - -%\tab{Implicitplot(関数,x範囲,y範囲\{, 分割数\})}\\ -%\tab{Implicitplot(Zvalue, Xvalue, Yvalue) }\\ -%\tab{}陰関数ã®PDを作æˆ\\ -%\chuu 分割数ã®ãƒ‡ãƒ•ã‚©ãƒ«ãƒˆã¯ã€€c(50, 50)\\ -%\rei \verb|G1$<$- Implicitplot("x^2+y^2-1","x$<$- c(-1,1)","y$<$- c(-1,1)")| - -%\tab{Deqplot(方程å¼ï¼Œx範囲,x0,y0\{, 分割数\})}\\ -%\tab{}微分方程å¼ã®è§£æ›²ç·šã®PDを作æˆ\\ -%\chuu $y"$㯠y\bq ã¨æ›¸ã.\\ -%\chuu xã®ç¯„囲をçœç•¥ã™ã‚‹ã¨ï¼Œæ画範囲全体\\ -%\rei \verb|G1$<$- Deqplot("y|\bq \verb|$<$- y*(1-y)","x",0,0.2,"N$<$- 100")|\\ -%\rei \verb|G2$<$- Deqplot"("y|\bq\bq \verb|$<$- -0.4*y`-3*y","x$<$- c(0,5)",0,c(0,2))| -%\rei \verb|G3$<$- Deqplot("c(x,y)|\bq \verb|$<$- c(x*(1-y),0.3*y*(x-1))",...|\\ -%\reicr \verb| "t$<$- c(0,20)",0,c(1,0.5),"N$<$- 200")| - -% - -\subsection{空間図形} - -\tab{Spaceline(\,空間点ã®ãƒ™ã‚¯ãƒˆãƒ«ã¾ãŸã¯list\,)}\\ -\tab{}空間点をçµã¶ç·šåˆ†ã®PD3dを作æˆ\\ -\rei G1$<$- Spaceline(\,c(c(3,\ 2,\ 1),\ c(5,\ 6,\ 6))\,) - -\tab{Spacecurve(\,関数,範囲,オプション\,)}\\ -\tab{}空間曲線ã®PD3dを作æˆ\\ -\rei G2$<$- Spacecurve( "c(cos(t),\ sin(t),\ t)",\ "t$<$- c(0, 2*\%pi)" ) - -\tab{Rotate3data(PD3, v1, v2\ \{, 中心\})}\\ -\tab{}PD3ã‚’v1ãŒv2ã«é‡ãªã‚‹ã‚ˆã†ã«å›žè»¢ã—ãŸPD3dを作æˆ\\ -\rei G2$<$- Rotate3data(\,G1, c(1, 0, 0), c(1, 2, 3)\,)\\ -\chuu PD3ã¯listã§ã‚‚よã„(ã“ã®å ´åˆã¯listã‚’è¿”ã™ï¼‰ - -\tab{Rotate3datac(PD3, 回転軸, 角度\ \{, 中心\})}\\ -\tab{}PD3を回転軸ã®ã¾ã‚ã‚Šã«å›žè»¢ã—ãŸPD3dを作æˆ\\ -\rei G2$<$- Rotate3datac(\,G1, c(0, 0, 1), \%pi/4\,)\\ -\chuu PD3ã¯listã§ã‚‚よã„(ã“ã®å ´åˆã¯listã‚’è¿”ã™ï¼‰ - -\tab{Translata3data(PD3, 移動ベクトルv)}\\ -\tab{}PD3ã‚’vã ã‘移動ã—ãŸPD3dを作æˆ\\ -\rei G2$<$- Translate3datac(\,G1, c(3, 2, 1)\,)\\ -\rei G2$<$- Translate3datac(\,G1, 3, 2, 1\,)\\ -\chuu PD3ã¯listã§ã‚‚よã„(ã“ã®å ´åˆã¯listã‚’è¿”ã™ï¼‰ - -\tab{Xyzax3data(\,$x$範囲, $y$範囲, $z$範囲\,)}\\ -\tab{}座標軸ã®PD3dã®listã‚’ä½œæˆ - -\tab{Projpara(\,PD3列ã¾ãŸã¯list\,)}\\ -\tab{}空間曲線ã®å¹³è¡ŒæŠ•å½±ã«ã‚ˆã‚‹å°„å½±PD( 2d )ã‚’ä½œæˆ - -\tab{Projpers(\,PD3列ã¾ãŸã¯list\,)}\\ -\tab{}空間曲線ã®ä¸€ç‚¹æŠ•å½±ã«ã‚ˆã‚‹å°„å½±PD( 2d )ã‚’ä½œæˆ - -\tab{Skeletonparadata(\,空間曲線list1,空間曲線list2\{,大ãã•% -\{,\ é è¿‘ã®é–¾å€¤\}\}\,)}\\ -\tab{}\begin{mini}{30zw} -平行投影ã§list1ã‹ã‚‰list2ã«ã‚ˆã‚Šéš ã•ã‚Œã‚‹éƒ¨åˆ†ã‚’除ã„ãŸæ®‹ã‚Šã®å¹³é¢PD列 -(スケルトンデータ)を作æˆ\vspace*{2mm} -\end{mini} - -\tab{Skeletonpara3data(\,空間曲線list1,空間曲線list2\{,大ãã•% -\{,\ é è¿‘ã®é–¾å€¤\}\}\,)}\\ -\tab{}\begin{mini}{30zw} -平行投影ã§list1ã‹ã‚‰list2ã«ã‚ˆã‚Šéš ã•ã‚Œã‚‹éƒ¨åˆ†ã‚’除ã„ãŸæ®‹ã‚Šã®ç©ºé–“PD列 -(スケルトンデータ)を作æˆ\vspace*{2mm} -\end{mini} - -\tab{Skeletonpersdata(\,空間曲線list1,空間曲線list2\{,大ãã•% -\{,\ é è¿‘ã®é–¾å€¤\}\}\,)}\\ -\tab{}一点投影ã§list2ã«ã‚ˆã‚‹list1ã®ã‚¹ã‚±ãƒ«ãƒˆãƒ³ãƒ‡ãƒ¼ã‚¿(2D)ã‚’ä½œæˆ - -\tab{Skeletonpers3data(\,空間曲線list1,空間曲線list2\{,大ãã•% -\{,\ é è¿‘ã®é–¾å€¤\}\}\,)}\\ -\tab{}一点投影ã§list2ã«ã‚ˆã‚‹list1ã®ã‚¹ã‚±ãƒ«ãƒˆãƒ³ãƒ‡ãƒ¼ã‚¿(3D)ã‚’ä½œæˆ - -\tab{Embed(\,å¹³é¢æ›²ç·šï¼ˆãƒªã‚¹ãƒˆï¼‰ï¼ŒåŸ‹ã‚è¾¼ã¿é–¢æ•°\,)}\\ -\tab{}埋ã‚è¾¼ã¿é–¢æ•°ã«ã‚ˆã‚Šç©ºé–“曲線を作æˆ\\ -\rei \verb|deff("Out$<$- Fun(x,y)","Out$<$- c(x,y,0)")|\\ -\reicr \verb|G1$<$- Listplot(c(0,0),c(3,2))|\\ -\reicr \verb|G1_3d$<$- Embed(G1,Fun)| - -% -\subsection{多é¢ä½“ã®æç”»} - -\tab{Phcutdata(頂点リストVL, é¢æ·»å­—リストFL, å¹³é¢ãƒ‡ãƒ¼ã‚¿PlaneD)}\\ -\tab{}多é¢ä½“ã‚’å¹³é¢ã§åˆ‡ã£ãŸã¨ãã®å¤šé¢ä½“ã¨åˆ‡æ–­é¢ã®3dリストを作æˆ\\ -\chuu PlaneD(平é¢ï¼‰ã®å½¢å¼\\% -\hspace*{18zw}\begin{mini}{20zw} -"a*x+b*y+c*z-d",\ "a*x+b*y+c*z$<$- d"\\ -\hspace*{2zw}(x,\ y,\ zをクリアã—ã¦ãŠã)\\ -ã¾ãŸã¯ã€€"c(a, b, c, d)"\\ -\hspace*{4zw} "list(a, b, c, P)"(点Pを通る) -\end{mini}\vspace{2mm}\\ -\chuu 切断é¢ã¯ãƒªã‚¹ãƒˆã®æœ€å¾Œã®è¦ç´ \\ -\rei VL$<$- list(c(0, 0, 0), c(1, 0, 0), c(0, 1, 0), c(0, 0, 1))\\ -\reicr FL$<$- list(c(1, 2, 3), c(1, 2, 4), c(1, 3, 4), c(2, 3, 4))\\ -\reicr PL$<$- Phcutdata(VL, FL, "c(1, 1, 1, 3)")\\ -\reicr Windisp(PL) - -\tab{Phcutoffdata(VL, FL, PlaneD, 符å·)}\\ -\tab{}PlaneDã§åˆ‡æ–­ã•ã‚ŒãŸéƒ¨åˆ†å¤šé¢ä½“ã®3dデータリストを作æˆ\\ -\chuu 符å·ã¯ã€€\verb|"+"| ã¾ãŸã¯ \verb|"-"|\\ -\rei PL$<$- Phpcutoffdata(VL, FL, "x+y+(z-1/2)", "+")\\ -\chuu PhVertexL(), PhFaceL()ã§é ‚点,é¢ãƒªã‚¹ãƒˆã‚’å–り出ã›ã‚‹ï¼Ž - -\tab{Phparadata(VL, FL)}陰線処ç†ã‚’ã—ãŸå¤šé¢ä½“ã®PD3d(平行投影)を作æˆ\\ -\tab{Phpersdata(VL, FL)}陰線処ç†ã‚’ã—ãŸå¤šé¢ä½“ã®PD3d(一点投影)を作æˆ\\ -\chuu PhHiddenData()ã§é™°ç·šã®PDã‚’å–り出ã›ã‚‹ï¼Ž - -\tab{Phsparadata(é¢datalist)}複数ã®å¤šé¢ä½“ã®PD3d(平行投影)を作æˆï¼ˆé™°ç·šå‡¦ç†ï¼‰\\ -\tab{Phspersdata(é¢datalists)}複数多é¢ä½“ã®PD3d(一点投影)を作æˆï¼ˆé™°ç·šå‡¦ç†ï¼‰\\ -\chuu é¢datalistã¯list(VL, FL),ã¾ãŸã¯ï¼Œãã®list\\ -\chuu é¢ã‚’点ã§ç›´æŽ¥æŒ‡å®šã™ã‚‹ã¨ãã«ã¯ VL$<$- list()ã¨ã™ã‚‹ï¼Ž\\ -\rei Fd$<$- list(list(),list(c(3,2,1),c(0,0,0),c(c(1,2,4)))\\ -\chuu PhHiddenData()ã§é™°ç·šã®PDã‚’å–り出ã›ã‚‹ï¼Ž - -\tab{Phsrawparadata(é¢datalist), Phsrawpersdata(é¢datalist)}\\ -\tab{}複数ã®å¤šé¢ä½“ã®PD3dを作æˆï¼ˆé™°ç·šå‡¦ç†ã‚’ã—ãªã„) - -\tab{Facesdata(é¢datalist \{ ,追加曲線PDlist \}, å°„å½±ã®ã‚¿ã‚¤ãƒ—)}\\ -\tab{}é¢ã®è¾ºï¼ˆã¨è¿½åŠ æ›²ç·šï¼‰ã‚’é¢ã«ã‚ˆã‚Šé™°ç·šå‡¦ç†\\ -\chuu å°„å½±ã®ã‚¿ã‚¤ãƒ—㯠"para","pers","rawpara’,"rawpers" - -\tab{Faceremovaldata(é¢datalist,曲線PDlist, å°„å½±ã®ã‚¿ã‚¤ãƒ—)}\\ -\tab{}曲線をé¢ã«ã‚ˆã‚Šé™°ç·šå‡¦ç† - -\section{データã®æ›¸ã出ã—} - -\subsection{基本コマンド} - -\tab{Windisp( PD列ã¾ãŸã¯list )}\\ -\tab{}ç”»é¢ã‚’é–‹ã,PD列を表示(確èªã®ãŸã‚)\\ -\rei Windisp(\,G1,\ G2\,)\\ -\rei Windisp(list(G1,G2)) - -\tab{WindispT( PD列ã¾ãŸã¯list \{, オプション\} )}\\ -\tab{}ç”»é¢ã‚’é–‹ã,PD列を表示(確èªã®ãŸã‚)図をé‡ã­ã¦è¡¨ç¤ºã™ã‚‹ï¼Žäº‹å‰ã«WindispT()\\ -\rei WindispT(\,G1,\ G2\,color="red",width=1,new=TRUE\,)\\ -\rei WindispT(list(col="blue",border="white",G1),new=TRUE) \\ -\hspace*{18zw}(閉曲線G1ã‚’å¡—ã‚‹)\\ -\rei WindispT(list(col="blue",border="white",density=200,G1,G2),new=TRUE)\\ -\hspace*{18zw} (閉曲線G1,G2ã‚’å¡—ã‚‹.densityã¯å†…å´ã‚’線分ã§å¡—ã‚Šã¤ã¶ã™å ´åˆã®ãƒ‘ラメータ) - -\tab{Openfile('ファイルå'\,\{ソースファイルå\}) }\\ -\tab{}書ã出ã—用ファイルを開ã(デフォルトã¯ç”»é¢ï¼‰\\ -\rei setwd("C:/TeXF") \\ -\reicr Openfile(\, "fig.tex"\,)\\ -\reicr Openfile(\,'fig.tex',\,'fig.r'\,)\\ -\chuu ソースãŒåŒä¸€ãƒ•ã‚©ãƒ«ãƒ€ã«ã‚ã‚‹ã¨ãã¯ï¼Œç¬¬ï¼’引数ã¯ä¸è¦ - -\tab{Beginpicture("å˜ä½é•·"\,)}picture 環境を始ã‚る.\\ -\rei Beginpicture("1cm"\,)\\ -\rei Beginpicture("2*10/12cm"\,) - -\tab{Endpicture(\,1\,)}picture 環境を終ãˆã‚‹ï¼ˆåº§æ¨™è»¸ã‚’ã‹ã)\\ -\tab{Endpicture(\,0\,)}picture 環境を終ãˆã‚‹ï¼ˆåº§æ¨™è»¸ã‚’ã‹ã‹ãªã„) - -\tab{Closefile(\,)\,}書ã出ã—用ファイルを閉ã˜ã‚‹ï¼ˆãƒ‡ãƒ•ã‚©ãƒ«ãƒˆï¼ç”»é¢ã«æˆ»ã™ï¼‰ - -\subsection{プロットデータ} - -\tab{Drwline(\,PD列ã¾ãŸã¯list\{, 太ã•\}\,)}\\ -\tab{}PD列ã¾ãŸã¯ã‚’実線ã§æ›¸ã出ã™\\ -\rei Drwline(\,G1,\ G2\,)\\ -\rei Drwline(\,G3,\ 0.5\.) - -\tab{Dashline(\,PD列ã¾ãŸã¯list\{, len \{, gap\}\,\}\,)}\\ -\tab{}PD列ã¾ãŸã¯listã‚’ç ´ç·šã§æ›¸ã出ã™ï¼ˆå®Ÿç·šéƒ¨ã‹ã‚‰å§‹ã¾ã‚‹ï¼‰\\ -\rei Dashline(\,G1,\ G2\,)\\ -\rei Dashline(\,G1,\ 1.5\,)\hfill(実線部,ギャップã¨ã‚‚ 1.5å€ï¼‰\\ -\rei Dashline(\,G1,\ G2,\ 1.5,\ 0.5\,)\\ -\hfill(実線部 1.5å€ï¼Œã‚®ãƒ£ãƒƒãƒ— 0.5å€ï¼‰ - -\tab{Invdashline(\,PD列ã¾ãŸã¯list\{, len\{, gap\}\,\}\ )}\\ -\tab{}破線を書ã出ã™ï¼ˆã‚®ãƒ£ãƒƒãƒ—ã‹ã‚‰å§‹ã¾ã‚‹ï¼‰ - -\tab{Dottedline(\,PD列ã¾ãŸã¯list\{, len \{, size\}\,\}\,)}\\ -\tab{}点線を書ã出ã™\\ -\rei Dottedline(\,G1,\ G2\,)\\ -\rei Dottedline(\,G1,\ 1.5\,) (間隔 1.5å€ï¼‰\\ -\rei Dottedline(\,G1,\ G2,\ 1,\ 0.5\,)(点ã®å¤§ãã• 0.5å€ï¼‰ - -\tab{Arrowline(\,A, B \{, éƒã®å¤§ãã• \{, é–‹ã角 \{, éƒä½ç½® \{, 太ã•\}\,\}\,\} \{, \\ -\hspace*{20zw}å½¢ã¨ä½ç½® -,\ "Cut=切り込ã¿çŽ‡"\}\,\}\,)}\\ - -\tab{}点Aã‹ã‚‰Bã«å‘ã‘ã¦çŸ¢å°ã‚’ã‹ãコードを書ã出ã™\\ -\rei Arrowline(\,A,\ B\,)\\ -\rei Arrowline(\,A,\ B,\ 2,\ 10,"l"\,)\\ -\rei Arrowline(\,A,\ B,\ 1,\ 18,\ 0.5,\ 2,"lc"\,)\\ -\hspace*{6zw}\chuu ABã®ä¸­ç‚¹ã®ä½ç½®ã«éƒã‚’ã‹ã - - -\tab{Arrowhead(\,ä½ç½®,\ æ–¹å‘\{,\ 大ãã•\{,\ 角度\},\ 形状ã¨ä½ç½®,\ "Cut=切り込ã¿çŽ‡"\}\,)} - -\tab{}éƒã ã‘を書ã出ã™\\ -\rei Arrowhead(\,c(0,\ 0),\ c(2,\ 1),\ "cl"\,) - -\tab{Arrowhead(\,P,\ PD\{,\ 大ãã•\{,\ 角度\},\ 形状ã¨ä½ç½®\}\,)}\\ -\tab{}PD上ã®ç‚¹Pã«çŸ¢å°ã‚’æã\\ -\rei Arrowhead(\,c(1,\ 1),\ Plotdata("x\^{}2","x"\,))\\ -\chuu éƒã¯ãƒ©ã‚¤ãƒ³ - -\tab{Drwpt(点ã®åˆ— \{, å¡—ã‚Š\})}点を書ã出ã™ï¼ˆå¤§ãã•ã¯ Setptã§æŒ‡å®šï¼Œå¡—ã‚Šã®ãƒ‡ãƒ•ã‚©ãƒ«ãƒˆã¯1)\\ -\rei Drwpt(\,c(2,\ 3),\ c(5,\ 7)\,) - -\tab{Drwxy(\,)}座標軸を書ã出㙠- -\tab{Htickmark( 座標, æ–¹å‘, æ•°å¼ , $\cdots$ )}\\ -\tab{}横軸上ã«ç›®ç››ã‚Šã‚’ã¤ã‘る(方å‘ã®ãƒ‡ãƒ•ã‚©ãƒ«ãƒˆã¯"s"\,) - -\tab{Vtickmark( 座標, æ–¹å‘, æ•°å¼ , $\cdots$ )}\\ -\tab{}縦軸上ã«ç›®ç››ã‚Šã‚’ã¤ã‘る(方å‘ã®ãƒ‡ãƒ•ã‚©ãƒ«ãƒˆã¯"w"\,)\\ -\rei Htickmark(\,$-1$,"$-1$",\ 1,"1",\ pi,"$\backslash$pi"\,)\\ -\rei Vtickmark(\ $-1$,"e","$-1$",\ 1,"ne","1"\,)\\ -\rei Htickmark(c(2,1),\ "a"\,)\\ -\chuu æ•°å¼ã‚’çœç•¥ã™ã‚‹ã¨ç›®ç››ã‚Šã ã‘ã‚’ã¤ã‘ã‚‹ - -\tab{Htickmark("m..n..r..")}横軸全体ã«ç›®ç››ã‚Šã‚’ã¤ã‘ã‚‹ - -\tab{Vtickmark("m..n..r.."\,)}縦軸全体ã«ç›®ç››ã‚Šã‚’ã¤ã‘ã‚‹\\ -\chuu m(目盛りã®é–“隔),n(文字を何目盛り毎ã«ï¼‰ï¼Œr(数ã®å€çŽ‡ï¼‰\\ -\rei Htickmark("mn")(目盛りã¨æ•°ã‚’1間隔ã§ã¤ã‘る)\\ -\rei Vtickmark("m1n2r1.5")(1.5å€ã—ãŸæ•°ã‚’1ã¤ã¨ã³ã«ï¼‰ - -\tab[13zw]{Shade(\,PD列ã¾ãŸã¯list\{, 濃ã•\}\,)\mbox{}}\\ -\tab{}閉曲線ã®å†…部を塗りã¤ã¶ã— 濃ã•: 0 〜 1(デフォルトã¯ï¼‘) - -\subsection{文字ã®æ›¸ã入れ} - -\tab{Letter(\ 点, æ–¹å‘, 文字列 ,・・・)}\\ -\tab{}点ã®ä½ç½®ã®ã€Œæ–¹å‘ã€ã«æ–‡å­—列をã‹ã(複数å¯ï¼‰\\ -\rei Letter(\,c(4,\ 3),"n","文字")\\ -\chuu ä½ç½®ã¯"n", "s", "e", "w", "ne", "nw", "se", "sw", "c"\\ -\chuu "n1" nã®æ–¹å‘ã«ã•ã‚‰ã«1目盛長ã ã‘離ã™ï¼Ž\\ -\chuu "s-1w2" sæ–¹å‘ã«-1目盛長,wæ–¹å‘ã«2目盛長ã ã‘離ã™ï¼Ž - -\tab{Expr(\ 点, æ–¹å‘, æ•°å¼ï¼Œãƒ»ãƒ»ãƒ»)}点ã®ä½ç½®ã®ã€Œæ–¹å‘ã€ã«æ•°å¼ã‚’ã‹ã(\$\$ã¯ä¸è¦ï¼‰\\ -\rei Expr(c(4, 3),"s","y=f(x)") - -\tab{Letterrot(\ 点, æ–¹å‘\ \{, 接線方å‘\ \{, 法線方å‘\}\}, 文字列)}\\ -\tab{Exprrot(\ 点, æ–¹å‘\ \{, 接線方å‘\ \{, 法線方å‘\}\}, 文字列)}\\ -\tab{}「点ã€ã®ä½ç½®ã«ã€Œæ–¹å‘ã€ã‚’å³æ¨ªæ–¹å‘ã«ã™ã‚‹ã‚ˆã†ã«æ–‡å­—を傾ã‘ã¦æ›¸ã\\ -\chuu 「接線方å‘ã€ï¼Œã€Œæ³•ç·šæ–¹å‘ã€ã¯ãã‚Œãžã‚Œã®å¾®å°‘移動é‡\\ -\chuu graphicxパッケージãŒå¿…è¦ - -\tab{Texletter(\ 点(listå½¢å¼), æ–¹å‘, 文字列 ,・・・)}\\ -\tab{}点ã®ä½ç½®ã®ã€Œæ–¹å‘ã€ã«æ–‡å­—列をã‹ã(複数å¯ï¼‰\\ -\rei Texletter(\,list(4,,\ "\#1"),"n","文字")\\ -\chuu ä½ç½®ã¯"n", "s", "e", "w", "ne", "nw", "se", "sw", "c"\\ -\chuu 点ã®ä½ç½®ã¯ãƒªã‚¹ãƒˆå½¢å¼ã§ï¼Œ\TeX ã®æ–‡å­—列を渡ã™ã“ã¨ãŒã§ãる. - -\tab{Openphr(\,ユーザーコマンドå\,),Closephr(\,)}\\ -\tab{}$\backslash$defã®ã‚³ãƒžãƒ³ãƒ‰å®šç¾©\\ -\rei Openphr("$\backslash$p"\,)\\ -\reicr  Texcom("$\backslash$begin\{array\}\{cc\}"\,)\\ -\reicr  Texcom("5 \& 3$\backslash\backslash$"\,)\\ -\reicr  Texcom("8 \& 7"\,)\\ -\reicr  Texcom("$\backslash$end\{array\}\$"\,)\\ -\reicr Closephr(\,) - -\tab{Openpar(\,ユーザーコマンドå,幅 \{ ç¸¦æ–¹å‘ \}\,), Closepar(\,)}\\ -\tab{}minipage環境をå«ã‚€$\backslash$def コマンド定義\\ -\rei Openpar("$\backslash$s","5cm", "t"\,)\\ -\reicr  Texcom("$\backslash$input\{rei\}"\,)\\ -\reicr Closepar(\,)\\ -\reicr Letter(\,c(2,\ 3),"se","$\backslash$s"\,)\\ -\chuu 縦方å‘ã®ãƒ‡ãƒ•ã‚©ãƒ«ãƒˆã¯ c - -\tab{Fontsize("記å·"\,)}文字サイズã®å¤‰æ›´ã‚³ãƒžãƒ³ãƒ‰ã‚’書ã出ã™\\ -\tab[13zw]{}"n", "s", "f",% - "ss", "t", \\ -\tab[13zw]{}"la", "La", % -"LA", "h", "H"(""\,ã®ã¨ã"n"\,)\\ -\rei Fontsize("s") - -\tab{Texcom("コマンド"\,)}\TeX コマンドã®ã‚³ãƒ¼ãƒ‰ã‚’書ã出ã™\\ -\rei Texcom("$\backslash$newcounter\{tmpct\}")\\ -\chuu "newline" ã®ã¨ã,空白行を挿入 - -\tab{Bowname(å¼“å½¢ï¼Œæ•°å¼ )}弓形PDã®ä¸­å¤®ã«å¼ã‚’書ã入れる\\ -\rei Gb$<$- Bowdata( A, B, 1, 0.5)\\ -\reicr Bowname(Gb, "d") - -\tab{Bownamerot( 弓形,数å¼\{,å‘ã\} )}\\ -\tab{}弓形PDã®ä¸­å¤®ã«å¼ã‚’傾ã‘ã¦æ›¸ã入れる\\ -\chuu graphicxパッケージãŒå¿…è¦\\ -\chuu å‘ãã« $-1$を指定ã™ã‚‹ã¨å‘ããŒå対ã«ãªã‚‹ - -\tab{Xyzaxparaname(\,軸データ \{, å„軸ã®ãƒ©ãƒ™ãƒ«å \}\{,離れ\}\,)}\\ -\tab{}平行投影ã§ï¼Œå„軸ã®ãƒ©ãƒ™ãƒ«ã‚’書ã入れる\\ -\rei Gax$<$- Xyzax3data( "x$<$- c(0,1)", "y$<$- c(0,1)", "z$<$- c(0,2)" )\\% ($x,y,z$を書ã)\\ -\reicr Xyzaxparaname(Gax)\\% ($x,y,z$を書ã)\\ -\chuu "\yen sin x" ãªã©æ–‡å­—列ã§æŒ‡å®šã™ã‚‹ã“ã¨ã‚‚ã§ãã‚‹ - -\tab{Xyzaxpersname(\,軸データ \{, å„軸ã®ãƒ©ãƒ™ãƒ«å \}\{,離れ\}\,)}\\ -\tab{}一点投影ã§ï¼Œå„軸ã®ãƒ©ãƒ™ãƒ«ã‚’書ã入れる\\ -\rei Xyzaxpersname(Gax, "", "", "w") - -%\vspace*{-0.5zw} - -%\vspace*{-2zw} - -\section{プロットデータã®æ“作} - -\subsection{å¹³é¢} - -\tab{Joingraphics(PD1,PD2,・・・\{ , "L" \})}\\ -\tab{}複数ã®PDを1ã¤ã®PDã«åˆä½µ \\ -\reicr G11$<$- Joingraphics(\,F9,\ G10\,)\\ -\chuu "L"を指定ã—ãŸã¨ãã¯ï¼Œçµæžœã‚’リストã§è¿”ã™ - -\tab{Dividegraphics(PD)}PDã‚’è¦ç´ ã«åˆ†ã‘ãŸlistを作æˆ\\ -\rei FL$<$- Dividegraphics(G1)\\ -\rei G1$<$- Op(1, FL) - -\tab{Joincrvs(\,PD列\,)}複数ã®æ›²ç·šã‚’ã¤ãªã’ãŸPDを作æˆï¼ˆ2D, 3D共通)\\ -\rei G3$<$- Joincrvs(\,G1,\ Invert(G2)\,)\\ -\chuu 曲線ã¯éš£æŽ¥ã™ã‚‹é †ç•ªã§æŒ‡å®šã™ã‚‹ - -\tab{Invert( PD )}PDã®ç‚¹åˆ—を逆順ã«ã—ãŸPDを作æˆï¼ˆ2D, 3D共通) - -%\tab{connectseg(PD)}細切れã®ç·šåˆ†ã‚’çµã¶PDリストを作æˆ\\ -%\hspace*{-4zw}\rei connectseg(implicitplot(x\textasciicircum 2+y\textasciicircum 2$<$- 1,x$<$- -2..2,y$<$- -2..2)) - -\tab{Partcrv(\,s1,\ s2, PD\,)}曲線PD上ã®ãƒ‘ラメータ値s1, s2を両端ã¨ã™ã‚‹PDを作æˆ\\ -\chuu s1 $>$ s2 ã®å ´åˆ\\ -\hspace*{180pt}s2ã‹ã‚‰çµ‚点,始点ã‹ã‚‰s1ã¾ã§ã®PDã®ãƒªã‚¹ãƒˆã‚’出力\\ -\hspace*{180pt}PDãŒé–‰æ›²ç·šã®ã¨ãã¯ä¸Šã®ï¼’ã¤ã®PDã‚’ã¤ãªã’る. - -\tab{Partcrv(\,A, B, PD\,)}曲線PD上ã®ç‚¹A, Bã®é–“ã®éƒ¨åˆ†æ›²ç·šã®PDを作æˆ\\ -\chuu -\begin{mini}{23zw}% -A, Bã®é †åºãŒé€†è»¢ã—ã¦ã„ã‚‹ã¨ã,Bã‹ã‚‰çµ‚点,始点ã‹ã‚‰Aã¾ã§ã®PDã®ãƒªã‚¹ãƒˆï¼ˆé–‰ã®ã¨ã接続)を出力 -\end{mini}\vspace{2mm}\\ -\rei G1$<$- Plotdata(\,"x\textasciicircum 2",\ "x=c(XMIN, XMAX)"\,)\\ -\reicr G2$<$- Partcrv(\,c(0,0),\ c(1,1),\ G1)\\ -\reicr G3$<$- Partcrv(\,c(1,1),\ c(0,0),\ G1) - - -\tab{Intersectcrvs(PD1, PD2)}2曲線PD1, PD2ã®äº¤ç‚¹ãƒªã‚¹ãƒˆã‚’作æˆ\\ -\rei G1$<$- Paramplot("c(cos(t),\ sin(t))",\ "t=c(0, 2*\%pi)")\\ -\reicr G2$<$- Plotdata("x+1/2",\ "x")\\ -\reicr PL$<$- Intersectcrvs(\,G1,G2\,) - -\tab{IntersectcrvsPp(PD1, PD2)}\\ -\tab{}2曲線PD1, PD2ã®äº¤ç‚¹ã¨ãƒ‘ラメータã®ãƒªã‚¹ãƒˆã‚’ä½œæˆ - -\tab{Intersectlines(L1, L2)}ï¼’ç›´ç·šã®äº¤ç‚¹ã‚’è¿”ã™\\ -\rei L1$<$- Lineplot(A, B)\\ -\reicr L2$<$- Lineplot(C, D)\\ -\reicr P$<$- Intersectcrvs(\,L1,L2\,) - -\tab{Nearestpt(\ P, PD\ )}点Pã«æœ€ã‚‚è¿‘ã„曲線PD上ã®ç‚¹ã¨ãƒ‘ラメータ値ã®ãƒªã‚¹ãƒˆã‚’è¿”ã™\\ -\rei Pp$<$- Nearestpt(\,c(0,\ 1),\ G1\,)\\ -\reicr A$<$- Op(1,Pp) - -\tab{Nearestpt(\,PD1,\ PD2\,)}% -PD1ã®ç¯€ç‚¹ã®ã†ã¡ã€PD2ã«æœ€ã‚‚è¿‘ã„点データã®ãƒªã‚¹ãƒˆã‚’è¿”ã™\\ -\rei Pp$<$- Nearestpt(\,G1,\ G2)\\ -\reicr A$<$- Op(1,Pp) - -\tab{Ptstart(\,PD\,), Ptend(\,PD)\,}曲線PDã®å§‹ç‚¹ï¼ˆçµ‚点)を返㙠- - -%\tab{Ptlistcrv(\,PD)\,}曲線PDã®ç¯€ç‚¹ãƒ‡ãƒ¼ã‚¿ãƒªã‚¹ãƒˆã‚’返㙠- -\tab{Numptcrv(\,PD)\,}曲線PDã®ç¯€ç‚¹ãƒ‡ãƒ¼ã‚¿ã®å€‹æ•°ã‚’返㙠- -\tab{Ptcrv(\,n,\,PD)\,}曲線PDã®n番目ã®ç¯€ç‚¹ã‚’返㙠- -\tab{Pointoncrv(\,s,\ PD\,)}PD上ã®ç‚¹ã§ãƒ‘ラメータ値sã‚’ã‚‚ã¤ç‚¹ã‚’è¿”ã™\\ -\rei Pointoncrv(5.3,\ G1)\\ -\reicr  (5番目ã®ç·šåˆ†ä¸Šã§0.3ã®ä½ç½®ã«ã‚る点) - -\tab[13zw]{Paramoncrv(P \{,\ n \},\ PD)}% -PD(ã®n番目ã®ç·šåˆ†ï¼‰ä¸Šã«ã‚る点Pã®ãƒ‘ラメータを返ã™\\ -\rei Paramoncrv( c(3,\ 2), G1)\\ -\rei Paramoncrv(c(2,\ 4), 5, G1) - -%\tab[13zw]{Droppoint(PD \{, é™ç•Œå€¤\})} é™ç•Œå€¤ä»¥ä¸‹ã®éš£æŽ¥ç‚¹ã‚’è½ã¨ã—ã¦ç‚¹ã‚’å°‘ãªãã™ã‚‹ï¼Ž\\ -%\chuu é™ç•Œå€¤ã®ãƒ‡ãƒ•ã‚©ãƒ«ãƒˆå€¤ã¯0.02 - -%\tab{Powersum(\,係数リスト(list), 変数値x \{, 中心c\} \,)}\\ -%\tab{}$\displaystyle \sum_{k= 0}^n a_n (x-c)^k$ã®å€¤ã‚’è¿”ã™ï¼Žï¼ˆPlotdataã§ä½¿ç”¨ï¼‰\\ -%\chuu 係数リスト㯠list( 添字リスト,係数リスト)ã®å½¢\\ -%\rei Tmp1$<$- 0:20\\ -%\reicr Tmp2$<$- ones(length(Tmp1))./factorial(Tmp1)\\ -%\reicr CL$<$- list(Tmp1, Tmp2)\\ -%\reicr G1$<$- Plotdata( "Powersum( CL, x)", "x") - -%\tab{FouriercoeffL(関数F, 周期T, é …æ•°N )}\\ -%\tab{}Fã®Né …ã¾ã§ã®ãƒ•ãƒ¼ãƒªã‚¨ä¿‚数リスト(list)を求ã‚る.\\ -%\chuu list( 定数項, 余弦係数(行), 正弦係数(行), 周期 ) ã®å½¢\\ -%\chuu Fouriersumã§ç”¨ã„る. - -%\tab{Fouriersum( フーリエ係数リスト, 変数値)}\\ -%\tab{}フーリエ級数ã®å€¤ã‚’è¿”ã™ï¼Žï¼ˆPlotdataã§ä½¿ç”¨ï¼‰\\ -%\rei deff( "Out$<$- Fun(x)", "Out$<$- abs(x)")\\ -%\reicr CL$<$- FouriercoeffL(Fun, 2, 30)\\ -%\reicr G2$<$- Plotdata("Fouriersum(CL, x)", "x", "N$<$- 300" ) - -\subsection{空間} - -\tab{Partcrv3(\,S1,\ S2, PD\,)}曲線PD上ã®ãƒ‘ラメータ値S1,S2を両端ã¨ã™ã‚‹PDã‚’ä½œæˆ - -\tab{Rotate3pt(点, V1, V2\{, C\})}\\ -\tab{}回転移動ã—ãŸç‚¹ã‚’è¿”ã™ï¼ˆRotate3dataå‚照) - -\tab{Rotate3ptc(点, 軸, 角度\{, C\})}\\ -\tab{}回転移動ã—ãŸç‚¹ã‚’è¿”ã™ï¼ˆRotate3dataå‚照) - - -\tab{Parapt(\,点\,)\ ,\ \ Perspt(\,点\,)}\\ -\tab{}空間ã®ç‚¹ã‚’投影ã—ãŸç‚¹ã‚’返㙠- -\tab{Zparapt(\,点\,)\ ,\ \ Zperspt(\,点\,)}\\ -\tab{}投影ã—ãŸå¹³é¢ã‚’$X,\ Y$ã¨ã—ãŸã¨ãã®$Z$座標 - -\tab{Invparapt(\,P,\ PD3d\,)\ ,\ \ Invperspt(\,P,\ PD3d\,)}\\ -\tab{}PD3dを投影ã—ãŸPD上ã®ç‚¹Pã«å¯¾å¿œã™ã‚‹PD3d上ã®ç‚¹\\ -\chuu Pd3dãŒç·šåˆ†ã®ã¨ãã¯ï¼Œå»¶é•·ç·šä¸Šã®ç‚¹ã§ã‚‚よã„. - -\tab{Invperspt(\,s,\ PD2d,\ PD3d\,)\ ,\ \ Invperspt(\,s,\ PD2d,\ PD3d\,)}\\ -\tab{}PD2d上ã®ãƒ‘ラメータ値sã®ç‚¹ã«å¯¾å¿œã™ã‚‹PD3d上ã®ç‚¹ - -\tab{Cancoordpers(\,投影座標\,)}平行投影ã§ã€ŒæŠ•å½±åº§æ¨™ã€ã§è¡¨ã•ã‚Œã‚‹ç‚¹ã®æ¨™æº–座標 - -\tab{Cancoordpers(\,投影座標\,)}一点投影ã§ã€ŒæŠ•å½±åº§æ¨™ã€ã§è¡¨ã•ã‚Œã‚‹ç‚¹ã®æ¨™æº–座標 - -\tab{Viewfrom(Vec, 曲線3D \{, éžè¡¨ç¤ºã‚ªãƒ—ション\})}\\ -\tab{}一時的ã«Vecæ–¹å‘ã‹ã‚‰ã¿ãŸå°„影データを返ã™\\ -\rei Out1$<$- Viewfrom(c(0,0,1), G1) (表示ã—ã¦ãƒ‡ãƒ¼ã‚¿ã‚’作æˆï¼‰\\ -\rei Out1$<$- Viewfrom(c(0,0,1), G1, 0) (データã®ã¿ã‚’作æˆï¼‰ - - -%\section{曲é¢ã®æç”»} - -%% -%\subsection{関数データリストã®å®šç¾©} - -%\begin{enumerate}[\hspace*{1zw}(1)] -%\item -%$z$<$- f(x,\ y)\ \ (a \leqq x \leqq b,\ c \leqq y \leqq d)$ã®ã¨ã\vspace{1mm}\\ -%\hspace*{4zw}list(\,関数,\ xã®ç¯„囲,\ yã®ç¯„囲\,)\\ -%\hspace*{-6zw}\reicr \verb|Fd$<$- list("z$<$- x^2+y","x$<$- c(-1,2)","y$<$- c(-2,1)")|\\ -%\hspace*{-4zw}\chuu 変数å x, y ãŒé–¢æ•°åã«ã‚る文字ã¨é‡ãªã‚‰ãªã„よã†ã«ã™ã‚‹ï¼Ž - -%\item -%$z$<$- f(x,\ y)\ ,x$<$- x(u,\ v),\ ,y$<$- y(u,\ v)\ \ (a \leqq u \leqq b,\ c \leqq v \leqq d)$ã®ã¨ã\vspace{1mm}\\ -%\hspace*{4zw}list(\,関数z,\ 関数x,\ 関数y,\ uã®ç¯„囲,\ vã®ç¯„囲\{,\ 境界ã®æŒ‡å®š\}\,)\\ -%\hspace*{-6zw}\rei \verb|Fd$<$- list("z$<$- sin(2*sqrt(abs(x^2+y^2))","x$<$- R*cos(T)",|\\ -%\hspace*{-6zw}\reicr \verb| "y$<$- R*sin(T)","R$<$- c(0,4)","T$<$- c(0,2*%pi)","e")|\\ -%\hspace*{-4zw}\chuu "e"ã¯$r$<$- 1,\ 0\leqq t\leqq 2\pi$ã§å®šã¾ã‚‹é–‰æ›²ç·šã‚’表ã™ï¼Ž\\ -%\hspace*{-4zw}\chuu sqrtã®ä¸­ã¯absã‚’ã¤ã‘る(計算誤差ã®ãŸã‚). - -%\item -%$x$<$- x(u,\ v),\ y$<$- y(u,\ v),\ z$<$- z(u,\ v)\ (a \leqq u \leqq b,\ c \leqq v \leqq d)$ã®ã¨ã\\ -%\hspace*{4zw}list(\,"p",\ 関数x\ 関数y,\ 関数z,\ Uã®ç¯„囲,\ Vã®ç¯„囲\{,\ 境界ã®æŒ‡å®š\}\,)\\ -%\hspace*{-6zw}\rei \verb|Fd$<$- list("p","x$<$- sin(U)*cos(V)","y$<$- sin(U)*sin(V)",|\\ -%\hspace*{-6zw}\reicr \verb| "z$<$- cos(U)","U$<$- c(0,%pi)","V$<$- c(0,2*%pi),"")| - -%\end{enumerate} - -%\subsection{曲é¢ã®ãƒ¯ã‚¤ãƒ¤ãƒ¼ãƒ•ãƒ¬ãƒ¼ãƒ å›³} - -%\tab{Sf3data(FD,\ \{,曲線ã®ç‚¹ã®å€‹æ•°(リスト)\{,横方å‘ã®åˆ†å‰²æ•°,縦方å‘ã®åˆ†å‰²æ•°\}\})}\\ -%\tab{}曲é¢ãƒ‡ãƒ¼ã‚¿ãƒªã‚¹ãƒˆFDã®ï¼“次元ワイヤフレームデータを生æˆ\\ -%\chuu デフォルトã¯ã€€ç‚¹ã®å€‹æ•°ï¼c(50,\ 50),分割数$<$- 25\\ -%\chuu 点ã®å€‹æ•°ã‚’æ•°nã§æŒ‡å®šã—ãŸã¨ãã¯ï¼’æ–¹å‘ã¨ã‚‚nã«ãªã‚‹\\ -%\rei Out$<$- Sf3data(Fd) - -%\tab{Sfparadata(〃)}FDã®ãƒ¯ã‚¤ãƒ¤ãƒ•ãƒ¬ãƒ¼ãƒ ãƒ‡ãƒ¼ã‚¿ã‚’平行投影ã—ãŸï¼’次元データ - -%\tab{Sfpersdata(〃)}FDã®ãƒ¯ã‚¤ãƒ¤ãƒ•ãƒ¬ãƒ¼ãƒ ãƒ‡ãƒ¼ã‚¿ã‚’平行投影ã—ãŸï¼’次元データ - -%\subsection{輪郭線データã®ä½œæˆ} - -%\tab{Sfbdparadata(関数データ\{,å„æ–¹å‘ã®åˆ†å‰²æ•°,é™ç•Œå€¤1,é™ç•Œå€¤2\})}\\ -%\tab{Sfbdpersdata(関数データ\{,å„æ–¹å‘ã®åˆ†å‰²æ•°,é™ç•Œå€¤1,é™ç•Œå€¤2\})} - -%\noindent -%\hspace*{3zw}\Ltab{10zw}{å„æ–¹å‘ã®åˆ†å‰²æ•°}曲線,陰関数ã®ã‚°ãƒªãƒƒãƒ‰æ•°\\ -%\hspace*{3zw}\Ltab{14zw}{}デフォルトã¯50\\ -%\hspace*{3zw}\Ltab{10zw}{}リストã‹å˜ç‹¬ã®æ•°ã§ä¸Žãˆã‚‹\\ -%\hspace*{3zw}\Ltab{10zw}{é™ç•Œå€¤1}åŒä¸€ç‚¹ã¨è¦‹ãªã™é™ç•Œï¼ˆãƒ‡ãƒ•ã‚©ãƒ«ãƒˆã¯0.05)\\ -%\hspace*{3zw}\Ltab{10zw}{é™ç•Œå€¤2}交点ã®ä½™è£•å¹…(デフォルトã¯0.2) - -% -%\rei \verb|Out1$<$- Sfbdparadata(Fd,c(50,50))|\\ -%\reicr \verb| Windisp(Projpara(Out1))| - -%\noindent -%\chuu 曲é¢ä¸Šã®ï¼“次元データã¨ã—ã¦å¾—られる.\\ -%\chuu BorderHiddenData()㧠-%é™°ç·šã®ï¼“次元データãŒå¾—られる.\\ -%\chuu CuspData()ã§è¼ªéƒ­ç·šã®ï¼“次元データ㌠-%得られる.\\ -%\chuu CuspPt()ã§cusp点ã®ï¼’次元データ㌠-%得られる.\\ -%\chuu BorderPt()ã§è¼ªéƒ­ç·šã®äº¤ç‚¹ã®ï¼’次元データ㌠-%得られる. - -%\subsection{ワイヤーデータã®ä½œæˆ} - -%\tab{Wireparadata(輪郭ã®ãƒªã‚¹ãƒˆ,関数データ,横ã®ç·šæ•°,縦ã®ç·šæ•°\{.分割数, é™ç•Œå€¤1.é™ç•Œå€¤2\})} - -%\tab{Wirepersdata(輪郭,関数データ \{ ,横ã®ç·šæ•°,縦ã®ç·šæ•°\{.分割数, é™ç•Œå€¤1.é™ç•Œå€¤2\}\})} - -%\noindent -%\hspace*{3zw}\Ltab{10zw}{輪郭}Sfbdpersdata( Sfbdparadata ) ã§ä½œæˆã—ãŸãƒ‡ãƒ¼ã‚¿\\ -%\hspace*{3zw}\Ltab{10zw}{ç·š}個数ã‹å€¤ã®ãƒªã‚¹ãƒˆã§ä¸Žãˆã‚‹\\ -%\hspace*{3zw}\Ltab{10zw}{é™ç•Œå€¤1}デフォルトã¯0.05\\ -%\hspace*{3zw}\Ltab{10zw}{é™ç•Œå€¤2}デフォルトã¯0.2 - -% -%\rei \verb|Out2$<$- Wireparadata(Out1,Fd1,5,5)|\\ -%\reicr \verb| Windisp(Projpara(Out1,Out2))|\\ -%\chuu WireHiddenData()㧠-%é™°ç·šã®ï¼“次元データãŒå¾—られる.\\ -%\chuu WirePt()ã§è¼ªéƒ­ç·šã¨ã®äº¤ç‚¹ã®ï¼’次元データ㌠-%得られる. - -%\subsection{曲é¢ã¨æ›²ç·š} - -%\subsubsection{パラメータ平é¢ä¸Šã®æ›²ç·š} - -%\tab{Crvonsfparadata(å¹³é¢ä¸Šã®æ›²ç·š2Dデータ,輪郭,関数データ \{,オプション\})} - -%\tab{Crvonsfpersdata(å¹³é¢ä¸Šã®æ›²ç·š2D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()ã§é™°ç·šã®ï¼“次元データãŒå¾—られる. - -% -%\subsubsection{曲é¢ä¸Šã®æ›²ç·š} - -%\tab{Crv3onsfparadata(曲é¢ä¸Šã®æ›²ç·š3Dデータ,輪郭,関数データ\{,オプション\})} - -%\tab{Crv3onsfpersdata(曲é¢ä¸Šã®æ›²ç·š3Dデータ,輪郭,関数データ \{,オプション\})} - -%\rei \verb|Out5$<$- Crv3onsfparadata(Fg,Out1,Fd)|\\ -%\chuu Crv3onsfHiddenData()ã§é™°ç·šã®ï¼“次元データãŒå¾—られる. - -%\subsubsection{曲é¢å¤–ã®æ›²ç·š} - -%\tab{Crvsfparadata(曲線3D,輪郭,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()ã§é™°ç·šã®ï¼“次元データãŒå¾—られる.\\ -%\chuu 曲線ã¨æ›²é¢ãŒäº¤ã‚らãªã„ã¨ãã¯ï¼Œå¼•æ•°ã®æœ€å¾Œã« $-1$ã‚’ã¤ã‘る. - -%\subsubsection{ãã®ä»–ã®ã‚³ãƒžãƒ³ãƒ‰} - -%\tab{Intersectcrvsf(曲線3D, 関数データ\{,分割数\{,é™ç•Œå€¤\}\})}\\ -%\tab{}曲線ã¨æ›²é¢ã¨ã®äº¤ç‚¹ï¼ˆMD)を求ã‚る. - -%\subsection{曲é¢ã®åˆ‡æ–­} - -%%\tab{polarcoordx()}極座標$r,\ t$ã®$x$座標を与ãˆã‚‹é–¢æ•°ã‚’返㙠- -%%\tab{polarcoordx()}極座標$r,\ t$ã®$x$座標を与ãˆã‚‹é–¢æ•°ã‚’返㙠- -%\tab{Sfcutdata(曲é¢ãƒ‡ãƒ¼ã‚¿, 切断é¢ãƒ‡ãƒ¼ã‚¿ \{, 分割数\} )}\\ -%\tab{}曲é¢ã‚’切ã£ãŸã¨ãã®åˆ‡ã‚Šå£ã®3dデータを作æˆ\\ -%\chuu 切断é¢ã¯ï¼Œ$x,\ y,\ z$ãªã©ã®æ–¹ç¨‹å¼ã§ä¸Žãˆã‚‹ï¼Ž\\ -%\hspace*{15zw}(平é¢ã®å ´åˆã¯ï¼ŒPhcutdataã®ã‚ˆã†ã«ä¸Žãˆã¦ã‚‚よã„)\\ -%\rei \verb|Fd$<$- c("p","R*cos(T)","R*sin(T)","2*(1-R)",|\\ -%\reicr \verb| "R$<$- c(0,1)","T$<$- c(0,2*%pi)","se")|\\ -%\reicr \verb|Out$<$- Sfcutdata(Fd,"x^2+(z-1/2)^2$<$- 1/4")| - -%\tab{Sfcutoffparadata(関数データ, 切断é¢, ç¬¦å· \{ , 分割数\} )} - -%\tab{Sfcutoffrawparadata(関数データ, 切断é¢, ç¬¦å· \{ , 分割数\} )} - -%\tab{Sfcutoffpersdata(関数データ, 切断é¢, ç¬¦å· \{ , 分割数\} )} - -%\tab{Sfcutoffrawpersdata(関数データ, 切断é¢, ç¬¦å· \{ , 分割数\} )} - -%\tab{}切断é¢ã§åˆ‡ã£ãŸæ›²é¢ã‚’リッジライン法ã§è¿”ã™ - -% -%\rei \verb|Fd$<$- list("z$<$- 2*(1-sqrt(abs(x^2+y^2)))","x$<$- R*cos(T)",|\\ -%\reicr \verb| "y$<$- R*sin(T)","R$<$- c(0,1)","T$<$- c(0,2*%pi)","e")|\\ -%\reicr \verb| Out$<$- Sfcutoffparadata(Fd,"z$<$- 1+2*x","-")| - - -\section{ãã®ä»–} - -%\tab{bksl("コマンド}\,)}コマンドã«$\backslash$ã‚’ã¤ã‘ãŸæ–‡å­—列を作る\\ -%\rei str$<$- bksl("sin x}\,) - -\tab{Readtextdata(ファイルå,\{開始ä½ç½®\{,オプション\}\})}\\ -\tab{}% -\begin{mini}{30zw} -ファイルã‹ã‚‰ã‚³ãƒ³ãƒžï¼Œã‚¹ãƒšãƒ¼ã‚¹ï¼Œã‚¿ãƒ–区切りã®ãƒ†ã‚­ã‚¹ãƒˆã‚’読込ã¿ï¼Œ -データ行列を返ã™\vspace{2mm} -\end{mini}\\ -\chuu オプション:\\ -\hspace*{18zw}"R=読ã¿è¾¼ã¿è¡Œæ•°" (デフォルトã¯ã™ã¹ã¦ï¼‰\\ -\hspace*{18zw}"C=読ã¿è¾¼ã¿åˆ—æ•°"(デフォルトã¯ã™ã¹ã¦ï¼‰ \\ -\hspace*{18zw}"Cna=è«–ç†å€¤" 1行を列åã«ã™ã‚‹ã‹ï¼ˆãƒ‡ãƒ•ã‚©ãƒ«ãƒˆTRUE) \\ -\hspace*{18zw}"Rna=è«–ç†å€¤" 1列を行åã«ã™ã‚‹ã‹ï¼ˆãƒ‡ãƒ•ã‚©ãƒ«ãƒˆFALSE) \\ -\rei DL$<$- Readtextdata("dt.csv",\ c(2,\ 1),\ "R=1000",\ "C=2") - -\tab{Writetextdata(データフレーム,ファイルå)}\\ -\tab{}データフレームを .csvファイルã«æ›¸ã出ã™\\ -\chuu 列åã¯ï¼‘行目ã«ãŠã,NAã¯blankã«ã™ã‚‹\\ -\rei Writetextdata(Df, "ex.csv") - -\tab{Tonumeric(\,文字列ã‹ã‚‰ãªã‚‹ãƒ‡ãƒ¼ã‚¿è¡Œåˆ— \{, 開始ä½ç½® \{ , 終了ä½ç½®\}\}\.)}\\ -\tab{}行列ã®æˆåˆ†ã‚’数値ã«å¤‰æ›ï¼ˆå¤‰æ›ã§ãã‚‹è¡Œã¨åˆ—ã‹ã‚‰ãªã‚‹éƒ¨åˆ†è¡Œåˆ—)\\ -\rei Dn$<$- Tonumeric(DL) - -%\tab{Newlength(\,)}% -%\begin{mini}{30zw} -%è·é›¢å¤‰æ•° \verb+ \Width, \Height, \Depth +を定義ã™ã‚‹\TeX コマンドを画é¢ã«è¡¨ç¤º -%\end{mini} -%\\ -%\rei \prompt newlength()+\\ -%\hspace*{6zw}\reicr \verb+\newlength{\Width}+\\% -%\hspace*{6zw}\reicr \verb+\newlength{\Height}+\\% -%\hspace*{6zw}\reicr \verb+\newlength{\Depth}+% - -%\tab{Mawarikomi("å¹…"\,)}% -%\begin{mini}{28zw} -%emathã®mawarikomi環境ã®ã‚³ãƒ¼ãƒ‰ã‚’生æˆè¡¨ç¤º -%\end{mini}\\ -%\rei Mawarikomi("5cm"\,) - -\subsection{作表} - -\tab{Tabledata(\{大ãã•,\}\ 縦線相対幅,\ 横線相対高ã•\,)}\\% -\tab{}表ã®ãƒ‡ãƒ¼ã‚¿listã‚’è¿”ã™\\ -\tab{}\hspace{-2zw}戻り値:PD,縦線添字,横線添字,枠縦PD,枠横PD,外枠PD\\ -\hspace*{10zw}大ãã•ã¯æ¬¡ã®ãƒ™ã‚¯ãƒˆãƒ«\\ -\hspace*{12zw}横,縦(,\ å·¦margin,\ å³margin(,\ 上margin,\ 下margin))\\ -\chuu 横(縦)を -1 ã¨ã—ãŸã¨ãã¯ï¼Œç¸¦ï¼ˆæ¨ªï¼‰ç·šã®ãƒ‡ãƒ¼ã‚¿ã‹ã‚‰\\ -\hspace*{16.3zw}自動的ã«è¨ˆç®—ã•ã‚Œã‚‹ï¼ˆãƒ‡ãƒ•ã‚©ãƒ«ãƒˆï¼‰\\ -\hspace*{10zw}縦線相対ä½ç½®ã¯å·¦ã®ç½«ç·šã‹ã‚‰ã®å¹…list(縦方å‘ã®å§‹ç‚¹ï¼Œçµ‚点)\\ -\hspace*{10zw}横線相対ä½ç½®ã¯ä¸Šã®ç½«ç·šã‹ã‚‰ã®å¹…list(横方å‘ã®å§‹ç‚¹ï¼Œçµ‚点)\\ -\chuu æ画領域ã¯è‡ªå‹•çš„ã«è¨­å®šã•ã‚Œã‚‹ - -\rei Tmp1$<$- list(20, 30,list(30,0,10), list(0,15,20), 40)\\ -\reicr Tmp2$<$- list(15)\\ -\reicr Out$<$- Tabledata(c(150,20),Tmp1,Tmp)\\ -\reicr Tb$<$- Tabledata(Tmp1,Tmp2) - -\tab{Dividetable(表データ)}枠,縦罫線,横罫線をæˆåˆ†ã¨ã™ã‚‹ãƒªã‚¹ãƒˆã‚’è¿”ã™\\ -\rei G$<$- Dividetable(Tb)(G[[1]],G[[2]],G[[3]]ãŒæž ï¼Œç¸¦ï¼Œæ¨ªï¼‰ - -\tab{Partframe(表データ,\ 開始ä½ç½®ï¼Œçµ‚了ä½ç½®)}\\ -\tab{}æž ã®ä¸€éƒ¨ã®PD\\ -\chuu ä½ç½®ã¯ãã‚Œãžã‚Œï¼Œc(列番å·,\ 行番å·)\\ -\chuu 開始ä½ç½®ã‹ã‚‰çµ‚了ä½ç½®ã¾ã§ã®å時計回りã®PD\\ -\rei G$<$- Parframe(Tb,\ c(4,1),c(1,2)) - -\tab{Findcell(表データ,\ 列番å·,\ 行番å·\,)}\\% -\tab{}セルã®æƒ…å ±list(中心,横幅ï¼ï¼’,縦幅ï¼ï¼’)を返ã™\\ -\chuu 番å·ã¯å·¦ä¸Šã®ä½ç½®\\ -\rei Out$<$- Findcell(Out,2,1)\\ -\chuu 番å·ãŒãƒ™ã‚¯ãƒˆãƒ«ã®ã¨ãã¯ï¼Œãã®ç¯„囲ã®ã‚»ãƒ«\\ -\rei Out$<$- Findcell(Out,c(2,4),1)\\ -\chuu 番å·ãŒãƒ™ã‚¯ãƒˆãƒ«ã®ã¨ãã¯ï¼Œãã®ç¯„囲ã®ã‚»ãƒ«\\ -\rei Out$<$- Findcell(Out,c(2,4),1)\\ -\tab{Findcell(表データ,\ 左セル,\{ å³ã‚»ãƒ«\} )}\\ -\rei Out$<$- Findcell(Out,"A2") - -\tab{Diagcelldata(表データ,列番å·ï¼Œè¡Œç•ªå·)}\\ -\tab{}セルã®å¯¾è§’ç·šPDã®ãƒªã‚¹ãƒˆã‚’返㙠- -\tab{Putcell(表データ,\ 列番å·,\ 行番å·,\ ä½ç½®,\ 文字データ)}\\% -\tab{}セルã«æ–‡å­—列を入れるコードを出力\\ -\chuu ä½ç½®ã¯"c", "r", "l", "u", "d", "b" \\ -\chuu u : up , d : down, b : baseline (微å°ç§»å‹•é‡ã‚’付加ã§ãる)\\ -\rei Putcell(Out,2,1,"c","221")\\ -\rei Putcell(Out,"B3","l","\$ab\$") - -\tab{Putrow(表データ,\ 行番å·,\ 文字データã®åˆ—)}\\% -\tab{}1行ã«é †ã«æ–‡å­—を書ã入れる\\ -\rei Putrow(TbL, 2, "a", "b", "c" )\\ -\chuu デフォルトä½ç½®ã¯ "c" ãれ以外ã®ã¨ãã¯list内ã§æŒ‡å®š\\ -\chuu 複数列ã«ã‚ãŸã‚‹ã¨ãã¯ï¼Œåˆ—æ•°ã‚’ list 内ã§æŒ‡å®š\\ -\rei Putrow(TbL, 2, list("r","a"), list(2, "b"), "c")\\ -\hspace*{20zw}(rã®ä½ç½®ã«a,2列ã¨ã£ã¦bã‚’ãŠã) - -\tab{Putrowexpr(表データ,\ 行番å·,\ 文字ä½ç½®,\ 文字データã®åˆ—)}\\% -\tab{}1行ã«é †ã«æ•°å¼ã‚’書ã入れる - -\tab{PutcoL(表データ,\ 列番å·ï¼ˆåå‰ï¼‰ï¼ˆ,\ 文字データã®åˆ—)}\\% -\tab{}1列ã«é †ã«æ–‡å­—を書ã入れる\\ -\rei PutcoL(TbL, "C", "a", "b", "c" ) - -\tab{PutcoLexpr(表データ,\ 列番å·(åå‰),\ 文字ä½ç½®ï¼Œæ–‡å­—データã®åˆ—}\\% -\tab{}1列ã«é †ã«æ•°å¼ã‚’書ã入れる - -\tab{Putrowstr(表データ,\ 行番å·ï¼Œæ–‡å­—ä½ç½®ï¼Œæ–‡å­—列}\\% -\tab{}1行ã«æ–‡å­—列ã®æ–‡å­—を1ã¤ãšã¤æ›¸ã入れる\\ -\rei Putrowstr(TbL, 1, "c", "xyz" ) - -\tab{PutcoL(表データ,\ 列番å·ï¼ˆåå‰ï¼‰ï¼Œæ–‡å­—ä½ç½®ï¼Œæ–‡å­—列}\\% -\tab{}1列ã«æ–‡å­—列ã®æ–‡å­—を1ã¤ãšã¤æ›¸ã入れる - -\subsection{\TeX ã®ã‚³ãƒžãƒ³ãƒ‰æ›¸ã出ã—(メタコマンド)} - -\tab{Texcom("コマンド"\,)}\TeX コマンドã®ã‚³ãƒ¼ãƒ‰ã‚’書ã出ã™\\ -\rei Texcom("$\backslash\backslash$begin\{minipage\}\{3cm\}")\\ -\chuu "newline" ã®ã¨ã,空白行を挿入 - - -\tab{Openphr(\,ユーザーコマンドå\,),Closephr(\,)}\\ -\tab{}$\backslash$defã®ã‚³ãƒžãƒ³ãƒ‰å®šç¾©ã‚’始ã‚ã‚‹\\ -\rei Openphr("$\backslash\backslash$p"\,)\\ -\reicr Texcom("$\backslash\backslash$begin\{array\}\{cc\}"\,)\\ -\reicr Texcom("5 \& 3$\backslash\backslash\backslash\backslash$"\,)\\ -\reicr Texcom("8 \& 7"\,)\\ -\reicr Texcom("$\backslash$end\{array\}\$"\,)\\ -\reicr Closephr(\,) - -\tab{Openpar(\,ユーザーコマンドå,幅\ \{,\ ä½ç½® \}\,), Closepar(\,)}\\ -\tab{}minipage環境をå«ã‚€$\backslash$def コマンド定義を始ã‚ã‚‹\\ -\chuu ä½ç½®ã®ãƒ‡ãƒ•ã‚©ãƒ«ãƒˆã¯ "c"\\ -\rei Openpar("$\backslash\backslash$s","5cm"\,)\\ -\reicr Texcom("$\backslash\backslash$input\{rei\}"\,)\\ -\reicr Closepar(\,)\\ -\reicr Letter(\,c([2,3),"se","$\backslash\backslash$s"\,) - -\tab{Texletter(\ 点(listå½¢å¼), æ–¹å‘, 文字列 ,・・・)}\\ -\tab{}点ã®ä½ç½®ã®ã€Œæ–¹å‘ã€ã«æ–‡å­—列をã‹ã(複数å¯ï¼‰\\ -\rei Texletter(\,list(4,"\#1"),"n","文字")\\ -\chuu ä½ç½®ã¯"n", s", "e", "w", "ne", "nw", "se", "sw", "c"\\ -\chuu 点ã®ä½ç½®ã¯ãƒªã‚¹ãƒˆå½¢å¼ã§ï¼Œ\TeX ã®å½¢å¼ã§æ¸¡ã™ã“ã¨ãŒã§ãる. - -\tab{Texnewctr(番å·ã¾ãŸã¯ç•ªå·ã®ãƒ™ã‚¯ãƒˆãƒ«)}\\ -\tab{}\ketpic ã§ä½¿ã†ã‚«ã‚¦ãƒ³ã‚¿(ketpicctra,...)を定義 - -\tab{Texctr(番å·ã¾ãŸã¯ã‚«ã‚¦ãƒ³ã‚¿å)}\\ -\tab{}番å·ã®ã‚«ã‚¦ãƒ³ã‚¿åã¾ãŸã¯ã‚«ã‚¦ãƒ³ã‚¿åを返㙠- -\tab{Texthectr(番å·)} \verb|\|the+カウンタåã®æ–‡å­—列を返㙠- -\tab{Texvalctr(番å·)} \verb|\|value\{カウンタå\}ã®æ–‡å­—列を返㙠- -\tab{Texsetctr(番å·ï¼Œæ–‡å­—列)}カウンタã«å€¤ã‚’セットã™ã‚‹\TeX コマンド列を出力\\ -\rei Texsetctr(2, "1*2/3");\\ -\rei Texsetctr(2, "(-\verb|#|1)+2"); - -\tab{Texletter(ä½ç½®ï¼ˆlist),方å‘,文字列)}\\ -\tab{}ä½ç½®listã§è¡¨ã•ã‚Œã‚‹ç‚¹ã«æ–‡å­—列をã‹ã\TeX コマンド列を出力\\ -\rei Texletter(list(10,paste("-",Texvctr(2),sep="")),"ne","\verb|\|content");\\ -\rei Texletter(list(0, "\verb|#|1"), "c", "A"); - -\tab{Texnewcmd(コマンドå,引数ã®å€‹æ•°ï¼Œã‚ªãƒ—ション値)}\\ -\tab{}\verb|\|newcommand を始ã‚ã‚‹\TeX コマンドを出力 - -\tab{Texrenewcmd(コマンドå,引数ã®å€‹æ•°ï¼Œã‚ªãƒ—ション値)}\\ -\tab{}\verb|\|renewcommand を始ã‚ã‚‹\TeX コマンドを出力 - -\tab{Texend()}\TeX ã®ã‚³ãƒžãƒ³ãƒ‰å®šç¾©ã‚’終ã‚ã‚‹\TeX コマンドを出力 - -\tab{Texfor(カウンタ番å·ï¼ŒåˆæœŸå€¤ï¼Œçµ‚了値)}\\ -\tab{}\TeX ã®ãƒ«ãƒ¼ãƒ—構造を始ã‚る.\\ -\chuu åˆæœŸå€¤ï¼Œçµ‚了値ã¯æ–‡å­—列ã§ä¸Žãˆã‚‹ï¼Ž\\ -\rei Texfor(1,"1","\verb|#|1"); - -\tab{Texendfor(カウンタ番å·)}\TeX ã®ãƒ«ãƒ¼ãƒ—構造を終ãˆã‚‹ï¼Ž\\ -\rei Texendfor(1); - -\tab{Texforinit()}\TeX ã®ãƒ«ãƒ¼ãƒ—構造をåˆæœŸåŒ– - -\tab{Texif(数値æ¡ä»¶\ \{ ,1 \})}\TeX ã®if構造を始ã‚る.(ifnumã¾ãŸã¯ ifdim)\\ -\chuu æ¡ä»¶ã¯æ–‡å­—列ã§ä¸Žãˆã‚‹ï¼Ž\\ -\chuu 1を追加ã—ãŸã¨ãã¯ã€€ifdim\\ -\rei Texif("Texctr(1)\verb|<#|2"); - -\tab{Texelse()}\TeX ã®elseブロック. - -\tab{Texendif()}\TeX ã®if構造を終ãˆã‚‹ï¼Ž -%\tab{Setmark()}マークシート用マークã®ã‚³ãƒ¼ãƒ‰ã‚’出力 - -%\tab{Putdashmark(表データ,\ 列番å·,\ 行番å·,文字列or番å·)}\\ -%\rei Putdashmark(Out,2,1,0:9); - -%\tab{Putcirmark(表データ,\ 列番å·,\ 行番å·)} - -%\tab{Putrecmark(表データ,\ 列番å·,\ 行番å·} - -\subsection{カラー設定} - -\tab{Setcolor(色 \{, 濃ã•\})}色を設定\\ -\chuu colorパッケージ必è¦\\ -\hspace*{2zw} 色ã¯ï¼Œæ¬¡ã®æ–‡å­—列ã¾ãŸã¯ [c,m,y,k]ã®ãƒ™ã‚¯ãƒˆãƒ«\\ -\hspace*{2.5zw}"greenyellow"[0.15,0,0.69,0], -"yellow"[0,0,1,0], -"goldenrod"[0,0.1,0.84,0], -"dandelion"[0,0.29,0.84,0]\\ -\hspace*{2.5zw}"apricot"[0,0.32,0.52,0], -"peach"[0,0.5,0.7,0], -"melon"[0,0.46,0.5,0], -"yelloworange"[0,0.42,1,0]\\ -\hspace*{2.5zw}""orange"[0,0.61,0.87,0], -"burntorange"[0,0.51,1,0], -"bittersweet"[0,0.75,1,0.24],\\ -\hspace*{2.5zw}"redorange"[0,0.77,0.87,0]\\ -\hspace*{2.5zw}"mahogany"[0,0.85,0.87,0.35], -"maroon"[0,0.87,0.68,0.32], -"brickred"[0,0.89,0.94,0.28], -"red"[0,1,1,0]\\ -\hspace*{2.5zw}"orangered"[0,1,0.5,0], -"rubinered"[0,1,0.13,0], -"wildstrawberry"[0,0.96,0.39,0],\\ -\hspace*{2.5zw}"salmon"[0,0.53,0.38,0]\\ -\hspace*{2.5zw}"carnationpink"[0,0.63,0,0], -"magenta"[0,1,0,0], -"violetred"[0,0.81,0,0], -"rhodamine"[0,0.82,0,0]\\ -\hspace*{2.5zw}"mulberry"[0.34,0.9,0,0.02], -"redviolet"[0.07,0.9,0,0.34], -"fuchsia"[0.47,0.91,0,0.08],\\ -\hspace*{2.5zw}"lavender"[0,0.48,0,0]\\ -\hspace*{2.5zw}"thistle"[0.12,0.59,0,0], -"orchid"[0.32,0.64,0,0], -"darkorchid"[0.4,0.8,0.2,0], -"purple"[0.45,0.86,0,0]\\ -\hspace*{2.5zw}"plum"[0.5,1,0,0], -"violet"[0.79,0.88,0,0], -"royalpurple"[0.75,0.9,0,0], -"blueviolet"[0.86,0.91,0,0.04]\\ -\hspace*{2.5zw}"periwinkle"[0.57,0.55,0,0], -"cadetblue"[0.62,0.57,0.23,0], -"cornflowerblue"[0.65,0.13,0,0],\\ -\hspace*{2.5zw}"midnightblue"[0.98,0.13,0,0.43]\\ -\hspace*{2.5zw}"navyblue"[0.94,0.54,0,0], -"royalblue"[1,0.5,0,0], -"blue"[1,1,0,0], -"cerulean"[0.94,0.11,0,0]\\ -\hspace*{2.5zw}"cyan"[1,0,0,0], -"processblue"[0.96,0,0,0], -"skyblue"[0.62,0,0.12,0], -"turquoise"[0.85,0,0.2,0]\\ -\hspace*{2.5zw}"tealblue"[0.86,0,0.34,0.02], -"aquamarine"[0.82,0,0.3,0], -"bluegreen"[0.85,0,0.33,0],\\ -\hspace*{2.5zw}"emerald"[1,0,0.5,0]\\ -\hspace*{2.5zw}"junglegreen"[0.99,0,0.52,0], -"seagreen"[0.69,0,0.5,0], -"green"[1,0,1,0], -"forestgreen"[0.91,0,0.88,0.12]\\ -\hspace*{2.5zw}"pinegreen"[0.92,0,0.59,0.25], -"limegreen"[0.5,0,1,0], -"yellowgreen"[0.44,0,0.74,0],\\ -\hspace*{2.5zw}"springgreen"[0.26,0,0.76,0]\\ -\hspace*{2.5zw}"olivegreen"[0.64,0,0.95,0.4], -"rawsienna"[0,0.72,1,0.45], -"sepia"[0,0.83,1,0.7], -"brown"[0,0.81,1,0.6]\\ -\hspace*{2.5zw}"tan"[0.14,0.42,0.56,0], -"gray"[0,0,0,0.5], -"black"[0,0,0,1], -"white"[0,0,0,0] - -\end{document} - -\newpage - -\section{内部コマンド} - -\tab{CalcHeight} - -\tab{CalcWidth} - -\tab{Dataindex} - -\tab{Gaiseki} - -\tab{InWindow} - -\tab{Kouten} - -\tab{KoutenList} - -\tab{Koutenseg} - -\tab{Kyoukai} - -\tab{MakeBowdata} - -\tab{MakeCurves} - -\tab{Makehasen} - -\tab{Makeshasen} - -\tab{MeetWindow} - -\tab{Mixmake} - -\tab{Naigai} - -\tab{Naiseki} - -\tab{Vecnagasa(A, B)}$<$- norm(B-A) - -\tab{Makevaltable} - -\tab{Connectseg} - - - -\end{document} diff --git a/texmf-dist/doc/support/ketcindy/source/ketmanual/refketlayer20161211J.tex b/texmf-dist/doc/support/ketcindy/source/ketmanual/refketlayer20161211J.tex deleted file mode 100644 index 630e19f2..00000000 --- a/texmf-dist/doc/support/ketcindy/source/ketmanual/refketlayer20161211J.tex +++ /dev/null @@ -1,273 +0,0 @@ -\documentclass[a4j]{jarticle} - -\usepackage{ketpic,ketlayer} - -\usepack - -\input{refstyle} - -\setmargin{20}{20}{15}{25} - -\begin{document} - -\begin{flushright} -2016.12.11 -\end{flushright} - - -\begin{center} -{\bf \huge \ketpic\ style ---ketlayer---}\vspace{3mm}\\ -\end{center} - -\section{スタイルå} -\tab{ketlayer.sty,\ ketlayer2e.sty(pict2eå¿…è¦)} - -\section{概è¦} -追記(コメント,メモ,挿絵)用ã®ç’°å¢ƒï¼Œãƒžã‚¯ãƒ­ã‚’定義.\\ -\hspace*{5zw}ketpic.sty も読んã§ãŠã.\\ -\hspace*{5zw}graphicx,\ color ã‚‚å¿…è¦ - -\section{環境} - -\tab{\bs begin\br{layer}[方眼ã®æ°´å¹³ç§»å‹•]\br{W}\br{H}---\bs end\br{layer}}\\ -\tab{}メモを書ããŸã‚ã®picture環境を定義ã—ã¦ï¼Œæ–¹çœ¼ã‚’æã.\\ -\chuu 方眼ã®æ°´å¹³ç§»å‹•ã®ãƒ‡ãƒ•ã‚©ãƒ«ãƒˆã¯ 0\\ -\chuu $\mathrm{H}=0$ã®ã¨ãã¯ï¼Œæ–¹çœ¼ã‚’æã‹ãªã„.\\ -\chuu $\mathrm{H}<0$ã®ã¨ãã¯ï¼Œä¸Šå´ã«æ–¹çœ¼ã‚’æã.\\ -\rei \bs begin\br{layer}\br{170}\br{30} - -\vspace{0.5\baselineskip} - -\begin{layerv}{0}{30} - -\end{layerv} - -\vspace{7\baselineskip} - -%\tab{\bs begin\br{layerv}[方眼ã®æ°´å¹³ç§»å‹•]\br{縦方å‘ã®ç§»å‹•}\br{H}---\bs end\br{layerv}}\\ -%\tab{}縦方å‘ã®ç§»å‹•ã‚’ã—,水平方å‘ã¯ç´™å¹…ã‹ã‚‰è‡ªå‹•è¨ˆç®—.縦方å‘ã¯ä¸‹ãŒï¼‹\\ -%\chuu 該当部分ã®ä¸‹ã«ãŠã,$-$ã§æŒ‡å®šã™ã‚‹ã®ãŒæ™®é€š - -\tab{\bs begin\br{layerg}[1 or 0]\br{C}---\bs end\br{layerg}} - -\tab{}C(図ãªã©ï¼‰ã®ä¸‹ã«ãŠã,Cã®ç¸¦å¹…ã ã‘方眼をãŠã\\ -\chuu オプション引数(def=1):1ã®ã¨ã方眼をæã,ï¼ã®ã¨ãæã‹ãªã„ - -\section{シンボル} - - -\begin{layer}{170}{0} - -\putnotec{30}{35}{\cirscoremark{0.8}} - -\putnotec{60}{35}{\scirscoremark{0.8}} - -\putnotec{90}{35}{\triscoremark{0.8}} - -\putnotec{120}{35}{\crosscoremark{0.8}} - -\end{layer} - - -%\tab[6cm]{\bs circlemark[thickness]\br{size}}円\\ -%\chuu サイズã¯ç›´å¾„10mmã‹ã‚‰ã®å€çŽ‡ã§ä¸Žãˆã‚‹ï¼Ž\\ -%\chuu thicknessã®ãƒ‡ãƒ•ã‚©ãƒ«ãƒˆã¯ã€€8 ( milli inch) - -%\tab[6cm]{\bs remarkmark[thickness]\br{size}}注æ„マーク - -\tab[6cm]{\bs cirscoremark[thickness]\br{size}}手ãŒãã®2é‡ä¸¸ - -\tab[6cm]{\bs scirscoremark[thickness]\br{size}}手ãŒãã®å˜ä¸¸ - -\tab[6cm]{\bs triscoremark[thickness]\br{size}}手ãŒãã®ä¸‰è§’ - -\tab[6cm]{\bs crosscoremark[thickness]\br{size}}手ãŒãã®ãƒãƒ„ - -\vspace{6\baselineskip} - -\section{マクロ一覧} - -\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ã«Charを書ã - -\tab[14zw]{\bs putnotee\br{x}\br{y}\br{Char}}(x,\ y)ã®å³ã«Charを書ã - -\tab[14zw]{\bs putnotew\br{x}\br{y}\br{Char}}(x,\ y)ã®å·¦ã«Charを書ã - -\tab[14zw]{\bs putnotes\br{x}\br{y}\br{Char}}(x,\ y)ã®ä¸‹ã«Charを書ã - -\tab[14zw]{\bs putnoten\br{x}\br{y}\br{Char}}(x,\ y)ã®ä¸Šã«Charを書ã - -\tab{\bs putnotene\br{x}\br{y}\br{Char}\ ,\ -\bs putnotenw\br{x}\br{y}\br{Char}} - -\tab{\bs putnotese\br{x}\br{y}\br{Char}\ ,\ -\bs putnotesw\br{x}\br{y}\br{Char}} - -\noindent -\rei putnotee\br{20}\br{5}\br{\bs fbox\br{\$\bs dfrac\br{1}\br{2}\$}} - -\mbox{} - -\begin{layer}{160}{0} - -\lineseg[16]{135}{25}{30}{25} - -\arrowlineseg[16]{130}{50}{10}{45} - -\end{layer} - -\tab{\bs lineseg[thickness]\br{$x$}\br{$y$}\br{$L$}\br{$\theta$}}\\ -\tab{}点$(x, \ y)$ã‹ã‚‰é•·ã•$L$ã®ç·šåˆ†ã‚’$\theta^{\circ}$ -æ–¹å‘ã«æã(å˜ä½ã¯mm)\\ -\rei \bs lineseg[16]\br{130}\br{20}\br{30}\br{25}\\ -\chuu thicknessã®å˜ä½ã¯ã€€milli inch(デフォルト=12)\\ -\chuu $x,\ y,\ \theta$ ã¯å°æ•°ã§ã‚‚よã„. - -\tab{\bs dashlineseg[thickness]\br{$x$}\br{$y$}\br{$L$}\br{$\theta$}}\\ -\tab{}点$(x, \ y)$ã‹ã‚‰é•·ã•$L$ã®ç ´ç·šã‚’$\theta^{\circ}$ -æ–¹å‘ã«æã(å˜ä½ã¯mm) - -\tab{\bs arrowlineseg[thickness]\br{$x$}\br{$y$}\br{$L$}\br{$\theta$}}\\ -\tab{}矢å°ã‚’æã(éƒã¯å§‹ç‚¹ã«æã)\\ -\rei \bs arrowlineseg[16]\br{30}\br{20}\br{10}\br{45} - -\tab[13zw]{\bs arrowhead[size]\br{$x$}\br{$y$}\br{$\theta$}}éƒã ã‘ã‚’æã - -\mbox{} - -%\tab{\bs boxline[ç·šå¹…]\br{x}\br{y}\br{W}\br{H}}\\ -%\tab{}(x,\ y)ã®å³ä¸Š(ne)ã«å¹…W,高ã•Hã®çŸ©å½¢ã‚’æã.\\ -%\chuu ç·šå¹…ã®ãƒ‡ãƒ•ã‚©ãƒ«ãƒˆã¯8 (milli inch)\\ -%\chuu n,\ s ãªã©8æ–¹å‘+c を付加ã™ã‚Œã°ï¼Œãã‚Œãžã‚Œã®æ–¹å‘ã«æã\\ -%\rei \bs boxlinen\br{30}\br{20}\br{50}\br{5} - -\tab{\bs boxframe+dir[thickness]\br{x}\br{y}\br{W}\br{H}\br{文字}}\\ -\tab{}(x,\ y)ã®diræ–¹å‘ã«å¹…W,高ã•Hã®çŸ©å½¢ã‚’æã,中ã«æ–‡å­—を入れる\\ -\chuu dir=n,\ s,\ e,\ w,\ ne,\ nw,\ se,\ sw,\ c \\ -\rei \bs boxframen\br{30}\br{20}\br{50}\br{5}\br{} - -%\tab{\bs dashboxline[ç·šå¹…]\br{x}\br{y}\br{W}\br{H}}\\ -%\tab{}(x,\ y)ã®å³ä¸Š(ne)ã«å¹…W,高ã•Hã®ç‚¹ç·šã®çŸ©å½¢ã‚’æã.\\ -%\chuu ç·šå¹…ã®ãƒ‡ãƒ•ã‚©ãƒ«ãƒˆã¯8 (milli inch)\\ -%\chuu 8æ–¹å‘+c ã«ã¤ã„ã¦ã¯ï¼Œ\bs boxlineã¨åŒã˜ - -\tab{\bs dashboxframe+dir[thickness]\br{x}\br{y}\br{W}\br{H}\br{文字}}\\ -\tab{}(x,\ y)ã®diræ–¹å‘ã«ã‚®ã‚¶ã®çŸ©å½¢ã‚’æã,中ã«æ–‡å­—を入れる\\ -\chuu dir=n,\ s,\ e,\ w,\ ne,\ nw,\ se,\ sw,\ c - -\tab{\bs jaggyboxframe+dir[thickness]\br{x}\br{y}\br{W}\br{H}\br{文字}}\\ -\tab{}(x,\ y)ã®diræ–¹å‘ã«ã‚®ã‚¶å››è§’形をæã,中ã«æ–‡å­—を入れる\\ -\chuu dir=n,\ s,\ e,\ w,\ ne,\ nw,\ se,\ sw,\ c - -\tab{\bs dialboxframe+dir[thickness]\br{x}\br{y}\br{W}\br{H}\br{文字}}\\ -\tab{}(x,\ y)ã®diræ–¹å‘ã«ãƒ€ã‚¤ãƒ¤åž‹ã‹ã‚‰ãªã‚‹çŸ©å½¢ã‚’æã,中ã«æ–‡å­—を入れる\\ -\chuu dir=n,\ s,\ e,\ w,\ ne,\ nw,\ se,\ sw,\ c - -\tab{\bs eraser+dir[æž ]\br{$x$}\br{$y$}\br{W}\br{H}}\\ -\tab{}$(x,\ y)$ã®diræ–¹å‘ã®é•·æ–¹å½¢ã®å†…部を消ã™\\ -\chuu æž =0 ã¨ã™ã‚‹ã¨æž ç·šã‚’æã‹ãªã„(デフォルト㯠1)\\ -\chuu dir=n,\ s,\ e,\ w,\ ne,\ nw,\ se,\ sw,\ c - -\tab{\bs shadebox+dir[æž æç”»]\br{$x$}\br{$y$}\br{W}\br{H}\br{D}\br{色}}\\ -\tab{}$(x,\ y)$ã®diræ–¹å‘ã«å¹…W,高ã•Hã®çŸ©å½¢ã®å†…部を濃ã•Dã§å¡—ã‚‹\\ -\chuu æž æç”»ã®ãƒ‡ãƒ•ã‚©ãƒ«ãƒˆã¯ 0(枠線をæã‹ãªã„)\\ -\chuu dir=n,\ s,\ e,\ w,\ ne,\ nw,\ se,\ sw,\ c - -\vspace{\baselineskip} - -\begin{layer}{160}{0} - -\boxframese[24]{10}{0}{30}{16}{boxframe} -\dashboxframese{50}{0}{30}{16}{dashboxframe} -\jaggyboxframese{90}{0}{30}{16}{jaggyboxframe} -\diaboxframese{130}{0}{30}{16}{diaboxframe} -\shadeboxse{10}{0}{30}{16}{0.5}{green} - -\end{layer} - -\newpage - -\tab{\bs popframe[thickness]\br{x}\br{y}\br{Ds}\br{色s}\br{Dp}\br{色p}\br{色f}\br{文字}}\\ -\tab{}(x,\ y)ã®å³ä¸‹(se)ã«æ–‡å­—入り矩形をæã,濃ã•Dsã®é™°ã‚’ã¤ã‘ã‚‹\\ -\chuu 色p : 背景色,色f : æž ã®è‰²\\ -\chuu 矩形ã®å¤§ãã•ã¯æ–‡å­—ã‹ã‚‰è‡ªå‹•è¨ˆç®—ã™ã‚‹\\ -\chuu ç·šã®å¤ªã•(thickness)ã®ãƒ‡ãƒ•ã‚©ãƒ«ãƒˆã¯8\\ -\chuu 文字列ã®å¹…$\leqq 200mm$,高ã•$\leqq 100mm$\\ -\rei \bs popframe\br{0}\br{5}\br{0.5}\br{black}\br{1}\br{yellow}\br{yellow}\br{タイトル} - -\tab{\bs colorframe[thickness]\br{x}\br{y}\br{Dp}\br{色p}\br{色f}\br{文字}}\\ -\tab{}(x,\ y)ã®å³ä¸‹(se)ã«æ–‡å­—入り矩形をæã,背景を色pã§å¡—ã‚‹\\ -\chuu 矩形ã®å¤§ãã•ã¯æ–‡å­—ã‹ã‚‰è‡ªå‹•è¨ˆç®—ã™ã‚‹\\ -\chuu ç·šã®å¤ªã•(thickness)ã®ãƒ‡ãƒ•ã‚©ãƒ«ãƒˆã¯8\\ -\chuu 文字列ã®å¹…$\leqq 200$mm,高ã•$\leqq 100$mm\\ -\rei \bs colorframe\br{100}\br{5}\br{0.3}\br{green}\br{blue}\br{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)ã‹ã‚‰å·¦ã«å¹…Wã®ã‚®ã‚¶ç·šã‚’æã.\\ -\chuu bを付加ã™ã‚‹ã¨ï¼Œç·šã®å‡ºæ–¹ãŒé€†ã«ãªã‚‹ï¼Ž - -\tab{\bs vjaggyline[thickness]\br{x}\br{y}\br{W}}\\ -\tab{}(x,\ y)ã‹ã‚‰ä¸‹ã«å¹…Wã®ã‚®ã‚¶ç·šã‚’æã.\\ -\chuu bを付加ã™ã‚‹ã¨ï¼Œç·šã®å‡ºæ–¹ãŒé€†ã«ãªã‚‹ï¼Ž - -\tab{\bs circleline[thickness]\br{x}\br{y}\br{size}}\\ -\tab{}(x,\ y)を中心㫠-円をæã - -\tab{\bs ballonr[thickness]\br{x}\br{y}\br{size}\br{Char}}\\ -\tab{}(x,\ y)ã‹ã‚‰å³ä¸Šã«å¹ã出ã—ã¨Charã‚’æã - -\tab{\bs ballonl[thickness]\br{x}\br{y}\br{size}\br{Char}}\\ -\tab{}(x,\ y)ã‹ã‚‰å·¦ä¸Šã«å¹ã出ã—ã¨Charã‚’æã - - -\tab[14zw]{\bs lefthand[thickness]\br{x}\br{y}}(x,\ y)ã«æŒ‡å…ˆã‚’æã - -\tab[14zw]{\bs righthand[thickness]\br{x}\br{y}}(x,\ y)ã«æŒ‡å…ˆã‚’æã - -\tab[16zw]{\bs leftdownhand[thickness]\br{x}\br{y}}(x,\ y)ã«æŒ‡å…ˆã‚’æã - -\tab[16zw]{\bs rightdownhand[thickness]\br{x}\br{y}}(x,\ y)ã«æŒ‡å…ˆã‚’æã - -\begin{layer}{180}{0} - -\ballonr{30}{40}{1}{Example1} - -\ballonl{90}{40}{1}{Example2} - -\lefthand{120}{30} - -\righthand{140}{30} - -\leftdownhand{120}{25} - -\rightdownhand{140}{25} - -\end{layer} - - - -\end{document} diff --git a/texmf-dist/doc/support/ketcindy/source/ketmanual/refketpic161211J.pdf b/texmf-dist/doc/support/ketcindy/source/ketmanual/refketpic161211J.pdf deleted file mode 100644 index ba47aa36..00000000 Binary files a/texmf-dist/doc/support/ketcindy/source/ketmanual/refketpic161211J.pdf and /dev/null differ diff --git a/texmf-dist/doc/support/ketcindy/source/ketmanual/refketpic161211J.tex b/texmf-dist/doc/support/ketcindy/source/ketmanual/refketpic161211J.tex deleted file mode 100644 index c7755b13..00000000 --- a/texmf-dist/doc/support/ketcindy/source/ketmanual/refketpic161211J.tex +++ /dev/null @@ -1,90 +0,0 @@ -\documentclass[a4j]{jarticle} -%ã‚ã„ㆠ- -\usepackage{ketpic,ketlayer} -\usepack - -\input{/tools/reference/refstyle} - -\setmargin{20}{20}{15}{25} - -\begin{document} - -\begin{flushright} -2016.12.11 -\end{flushright} - - -\begin{center} -{\bf \huge \ketpic\ --ketpic--}\vspace{3mm}\\ -\end{center} - -\section{スタイルå} -\tab{ketpic.sty,\ ketpic2e.sty(pict2eå¿…è¦)} - -\section{概è¦} - -\bs Width,\ \bs Height,\ \bs Depthを定義ã™ã‚‹ï¼Ž - -ã¾ãŸï¼Œ10個ã®ä¸€æ™‚カウンタ ketpicctra,\ $\cdots$,\ ketpicctrj を定義ã™ã‚‹ï¼Ž - -\section{マクロ一覧} - -\subsection{プリアンブル用} - -%\tab{\bs usepack}amsmath, amssymb,graphicx,colorを読ã¿è¾¼ã‚€ - -\tab{\bs setmargin\br{left}\br{right}\br{top}\br{bottom}}\\ -\tab{}マージン設定(å˜ä½ã¯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}}Wã®å¹…を確ä¿ã—ã¦å·¦å¯„ã›ã§Sを書ã\\ -\rei \bs Ltab\br{5cm}\br{abc}xyz - -\tab{\bs Rtab\br{W}\br{S}}Wã®å¹…を確ä¿ã—ã¦å³å¯„ã›ã§Sを書ã - -\tab{\bs Ctab\br{W}\br{S}}Wã®å¹…を確ä¿ã—ã¦ä¸­å¤®å¯„ã›ã§Sを書ã - -%\tab{\bs vbackward\br{C}}文字Cã®é«˜ã•åˆ†ã ã‘上ã«æˆ»ã‚‹\\ -%\rei \bs vbackward\br{\bs includegraphics\br{ex.eps}} - -%\tab{\bs vforward\br{C}}文字Cã®é«˜ã•åˆ†ã ã‘下ã«é€²ã‚€ - -\tab{\bs ketcalcwidth[0]\br{C}}文字Cã®å¹…ã‚’å˜ä½é•·ã§è¨ˆã£ã¦ã‚«ã‚¦ãƒ³ã‚¿ï¼‘ã«è¿”ã™\\ -\chuu オプションãŒï¼‘ã®ã¨ãã¯ï¼Œå€¤ã‚’表示 - -\tab{\bs ketcalcheight[0]\br{C}}文字Cã®é«˜ã•ã‚’å˜ä½é•·ã§è¨ˆã£ã¦ã‚’カウンタ1ã«è¿”ã™\\ -\chuu オプションãŒï¼‘ã®ã¨ãã¯ï¼Œå€¤ã‚’表示 - -\tab{\bs ketcalcdepth[0]\br{C}}文字Cã®æ·±ã•ã‚’å˜ä½é•·ã§è¨ˆã£ã¦ã‚«ã‚¦ãƒ³ã‚¿ï¼‘ã«è¿”ã™\\ -\chuu オプションãŒï¼‘ã®ã¨ãã¯ï¼Œå€¤ã‚’表示 - -\tab{\bs ketcalcwh\br{C}}文字Cã®æ¨ªå¹…ã¨ç¸¦å¹…ã‚’mmå˜ä½ã§è¿”ã™\\ -\chuu \{横幅\}\{縦幅\}ã®å½¢å¼ã§ - -\subsection{シンボル} - -\begin{layer}[120]{120}{0} -\putnotee{5}{5}{\dangerbendmark} -\putnotee{10}{10}{\cautionmark} -\putnotee{15}{15}{\circlemark{1}} -\putnotee{20}{25}{\circleshade{1}{0.5}} -\putnotee{5}{30}{\NEarrow,\ \NELarrow,\ \NERarrow} -\end{layer} - -\tab[6cm]{\bs dangerbendmark[size]}ブルãƒã‚­ã®ã€Œå±é™ºãªæ›²ãŒã‚Šè§’〠- -\tab[6cm]{\bs cautionmark[size]}注æ„書ãã®ãƒžãƒ¼ã‚¯ - -\tab[6cm]{\bs circlemark[thickness]\br{size}} 円\\ -\chuu サイズ1= 4mm(直径) - -\tab[6cm]{\bs circleshade[thickness]\br{size}\br{density}}中塗りã®å†† - -\tab[6cm]{\bs NEarrow[å€çŽ‡],\bs NELarrow[å€çŽ‡]ãªã©} å¢—æ¸›çŸ¢å° - -\end{document} diff --git a/texmf-dist/doc/support/ketcindy/source/ketmanual/refketslide161211.tex b/texmf-dist/doc/support/ketcindy/source/ketmanual/refketslide161211.tex deleted file mode 100644 index 31990d96..00000000 --- a/texmf-dist/doc/support/ketcindy/source/ketmanual/refketslide161211.tex +++ /dev/null @@ -1,72 +0,0 @@ -\documentclass[a4j]{jarticle} - -\usepackage{/tools/ketpic,/tools/ketlayer} -\usepack - -\input{/tools/reference/refstyle} - -\setmargin{20}{20}{15}{25} - -\begin{document} - -\begin{flushright} -2016.12.11 -\end{flushright} - - -\begin{center} -{\bf \huge \ketpic スタイル\ --ketslide--}\vspace{3mm}\\ -\end{center} - -\section{スタイルå} -\tab{ketslide.sty} - -\section{概è¦} - -プレゼン用スライドを作æˆã™ã‚‹ï¼Ž\\ -\hspace*{2zw}\bs documentclass[landscape,10pt]\{jarticle ã¾ãŸã¯ article\}\\ -\hspace*{2zw}スライドã®å¤§ãã•ã¯ã€€ç´„130 $\times$ 85 (mm) - - -\section{マクロ一覧} - -\subsection{プリアンブル用} - -\tab{\bs ketmarginJ}jarticleã®ã¨ãã®ãƒžãƒ¼ã‚¸ãƒ³è¨­å®š - -\tab{\bs ketmarginE}articleã®ã¨ãã®ãƒžãƒ¼ã‚¸ãƒ³è¨­å®š - -\tab{\bs ketslideinit}パラメータ指定マクロã¸ã®default値設定 - -\noindent -\hspace*{2zw}\tab{\bs ketcletter}タイトルã®æ–‡å­—色(black\\ -\hspace*{2zw}\tab{\bs ketcbox}ボックス内ã®è‰²ï¼ˆwhite\\ -\hspace*{2zw}\tab{\bs ketdbox}ボックス内ã®è‰²ã®æ¿ƒã•ï¼ˆ1)\\ -\hspace*{2zw}\tab{\bs ketcframe}æž ã®è‰²ï¼ˆblack)\\ -\hspace*{2zw}\tab{\bs ketcshadow}é™°ã®è‰²ï¼ˆblack)\\ -\hspace*{2zw}\tab{\bs ketdshadow}é™°ã®è‰²ã®æ¿ƒã•ï¼ˆ0.5)\\ -\hspace*{2zw}\tab{\bs slidetitlex}タイトルã®æ¨ªä½ç½®ï¼ˆ6)\\ -%\hspace*{2zw}\tab{\bs slidetitley}タイトルã®ç¸¦ä½ç½®ï¼ˆ7)\\ -\hspace*{2zw}\tab{\bs slidetitlesize}タイトルã®æ–‡å­—サイズ(2)\\ -\hspace*{2zw}\tab{\bs mketcletter}メインタイトルã®æ–‡å­—色(black)\\ -\hspace*{2zw}\tab{\bs mketcbox}メインタイトルã®ãƒœãƒƒã‚¯ã‚¹å†…ã®è‰²ï¼ˆwhite)\\ -\hspace*{2zw}\tab{\bs mketdbox}メインタイトルã®ãƒœãƒƒã‚¯ã‚¹å†…ã®è‰²ã®æ¿ƒã•ï¼ˆ1)\\ -\hspace*{2zw}\tab{\bs mketcframe}メインタイトルã®æž ã®è‰²ï¼ˆwhite)\\ -\hspace*{2zw}\tab{\bs mslidetitlex}メインタイトルã®æ¨ªä½ç½®ï¼ˆ62)\\ -%\hspace*{2zw}\tab{\bs mslidetitley}メインタイトルã®ç«‹ã¦ä½ç½®ï¼ˆ35)\\ -\hspace*{2zw}\tab{\bs mslidetitlesize}メインタイトルã®æ–‡å­—サイズ(3)\\ -\hspace{6zw}注) ã“れらã®ãƒ‘ラメータã¯æœ¬æ–‡ä¸­ã§ \bs def を使ã£ã¦å¤‰æ›´ã§ãる. - - -\subsection{本文用} - -\tab[15zw]{\bs newslide[縦ä½ç½®]\{タイトル\}}æ–°ã—ã„スライドを始ã‚る.(縦ä½ç½®ã®default=6) - -\tab[15zw]{\bs sameslide}[縦ä½ç½®]åŒã˜ãƒšãƒ¼ã‚¸ã¨ã—ã¦ï¼Œè¿½åŠ ã™ã‚‹ï¼Ž - -\tab[15zw]{\bs mainslide[縦ä½ç½®]\{タイトル\}}æ–°ã—ã„メインスライドを始ã‚る.(縦ä½ç½®ã®default=35) - -\tab[15zw]{\bs mainsameslide[縦ä½ç½®]}åŒã˜ãƒšãƒ¼ã‚¸ã¨ã—ã¦ï¼Œè¿½åŠ ã™ã‚‹ï¼Ž - - -\end{document} \ No newline at end of file diff --git a/texmf-dist/scripts/ketcindy/LICENSE.txt b/texmf-dist/scripts/ketcindy/LICENSE.txt deleted file mode 100644 index 505587ff..00000000 --- a/texmf-dist/scripts/ketcindy/LICENSE.txt +++ /dev/null @@ -1,14 +0,0 @@ -// 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 diff --git a/texmf-dist/scripts/ketcindy/data/fontF/0Small.png b/texmf-dist/scripts/ketcindy/data/fontF/0Small.png deleted file mode 100644 index 8d491ce0..00000000 Binary files a/texmf-dist/scripts/ketcindy/data/fontF/0Small.png and /dev/null differ diff --git a/texmf-dist/scripts/ketcindy/data/fontF/0Smalla-h.png b/texmf-dist/scripts/ketcindy/data/fontF/0Smalla-h.png deleted file mode 100644 index 4578fb1e..00000000 Binary files a/texmf-dist/scripts/ketcindy/data/fontF/0Smalla-h.png and /dev/null differ diff --git a/texmf-dist/scripts/ketcindy/data/fontF/0Smalli-o.png b/texmf-dist/scripts/ketcindy/data/fontF/0Smalli-o.png deleted file mode 100644 index 812d3755..00000000 Binary files a/texmf-dist/scripts/ketcindy/data/fontF/0Smalli-o.png and /dev/null differ diff --git a/texmf-dist/scripts/ketcindy/data/fontF/0Smallp-w.png b/texmf-dist/scripts/ketcindy/data/fontF/0Smallp-w.png deleted file mode 100644 index 29c6c446..00000000 Binary files a/texmf-dist/scripts/ketcindy/data/fontF/0Smallp-w.png and /dev/null differ diff --git a/texmf-dist/scripts/ketcindy/data/fontF/0Smallxyz.png b/texmf-dist/scripts/ketcindy/data/fontF/0Smallxyz.png deleted file mode 100644 index a4e3a6a6..00000000 Binary files a/texmf-dist/scripts/ketcindy/data/fontF/0Smallxyz.png and /dev/null differ diff --git a/texmf-dist/scripts/ketcindy/data/fontF/nsi.cdy b/texmf-dist/scripts/ketcindy/data/fontF/nsi.cdy deleted file mode 100644 index 53393398..00000000 Binary files a/texmf-dist/scripts/ketcindy/data/fontF/nsi.cdy and /dev/null differ diff --git a/texmf-dist/scripts/ketcindy/data/fontF/nsi.txt b/texmf-dist/scripts/ketcindy/data/fontF/nsi.txt deleted file mode 100644 index 3492d65d..00000000 --- a/texmf-dist/scripts/ketcindy/data/fontF/nsi.txt +++ /dev/null @@ -1,29 +0,0 @@ -nsin// -start// -[[2,0]]// -end// -nsi1k// -start// -[[-1.7646,1.9555],[-0.8458,1.7871],[-1.3206,-0.0046]]// -end// -nsi1c// -start// -[[-1.4431,3.395],[-0.5243,3.104]]// -end// -start// -[[-0.9837,1.3328],[-1.1521,0.664]]// -end// -nsi2k// -start// -[[-1.3206,-0.0046],[-0.9224,1.5114],[0.9152,1.4348],[1.7115,0.9601]]// -end// -nsi2c// -start// -[[-1.1776,0.5007],[-1.0449,1.0367]]// -end// -start// -[[-0.218,3.7166],[1.6962,3.104]]// -end// -start// -[[0.0919,-0.3982],[1.4206,-0.2037]]// -end//// diff --git a/texmf-dist/scripts/ketcindy/data/fontF/pcr.cdy b/texmf-dist/scripts/ketcindy/data/fontF/pcr.cdy deleted file mode 100644 index cc8891d0..00000000 Binary files a/texmf-dist/scripts/ketcindy/data/fontF/pcr.cdy and /dev/null differ diff --git a/texmf-dist/scripts/ketcindy/data/fontF/pcr.txt b/texmf-dist/scripts/ketcindy/data/fontF/pcr.txt deleted file mode 100644 index 76c429b5..00000000 --- a/texmf-dist/scripts/ketcindy/data/fontF/pcr.txt +++ /dev/null @@ -1,26 +0,0 @@ -pcrn// -start// -[[2,0]]// -end// -pcr1k// -start// -[[-1.4642,4.3617],[-1.4816,0.0001]]// -end// -pcr1c// -start// -[[-1.4642,3.0117],[-1.4642,1.5578]]// -end// -pcr2k// -start// -[[-1.7654,4.3962],[0.3658,4.3899],[0.3704,2.1982],[-1.4816,2.1982]]// -end// -pcr2c// -start// -[[-1.1236,4.3899],[0,4.3899]]// -end// -start// -[[1.8552,4.3638],[1.7769,2.2211]]// -end// -start// -[[0.0242,2.1982],[-0.72,2.1982]]// -end//// diff --git a/texmf-dist/scripts/ketcindy/data/fontF/qcr.cdy b/texmf-dist/scripts/ketcindy/data/fontF/qcr.cdy deleted file mode 100644 index ad28dd15..00000000 Binary files a/texmf-dist/scripts/ketcindy/data/fontF/qcr.cdy and /dev/null differ diff --git a/texmf-dist/scripts/ketcindy/data/fontF/qcr.txt b/texmf-dist/scripts/ketcindy/data/fontF/qcr.txt deleted file mode 100644 index 58a390e9..00000000 --- a/texmf-dist/scripts/ketcindy/data/fontF/qcr.txt +++ /dev/null @@ -1,23 +0,0 @@ -qcrn// -start// -[[2,0]]// -end// -qcr1k// -start// -[[0,0.1212],[0,4.5347],[0,0.1212]]// -end// -qcr1c// -start// -[[2.5616,0.1904],[2.527,4.5347]]// -end// -start// -[[-2.527,4.4828],[-2.527,0.1731]]// -end// -qcr2k// -start// -[[0,1],[2.1808,-0.1904]]// -end// 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-[[-0.3981,2.3366],[1.8866,-0]]// -end// -rcr3c// -start// -[[1.2808,2.3193],[1.0731,1.2462]]// -end//// diff --git a/texmf-dist/scripts/ketcindy/data/fontF/tsi.cdy b/texmf-dist/scripts/ketcindy/data/fontF/tsi.cdy deleted file mode 100644 index 2fa6231c..00000000 Binary files a/texmf-dist/scripts/ketcindy/data/fontF/tsi.cdy and /dev/null differ diff --git a/texmf-dist/scripts/ketcindy/data/fontF/tsi.txt b/texmf-dist/scripts/ketcindy/data/fontF/tsi.txt deleted file mode 100644 index 6a51e190..00000000 --- a/texmf-dist/scripts/ketcindy/data/fontF/tsi.txt +++ /dev/null @@ -1,23 +0,0 @@ -tsin// -start// -[[2,0]]// -end// -tsi1k// -start// -[[-0.9341,2.8483],[0.9494,2.879]]// -end// -tsi1c// -start// -[[-0.3063,2.8585],[0.3216,2.8687]]// -end// -tsi2k// -start// -[[0.3828,4.2112],[-0.49,0.6125],[0.8422,0.9801]]// -end// -tsi2c// -start// -[[0.0919,3.0117],[-0.1991,1.8121]]// -end// -start// -[[-0.7044,-0.2144],[0.4594,-0.1072]]// -end//// diff --git a/texmf-dist/scripts/ketcindy/data/fontF/xsi.cdy b/texmf-dist/scripts/ketcindy/data/fontF/xsi.cdy deleted file mode 100644 index 428c783d..00000000 Binary files a/texmf-dist/scripts/ketcindy/data/fontF/xsi.cdy and /dev/null differ diff --git a/texmf-dist/scripts/ketcindy/data/fontF/xsi.txt b/texmf-dist/scripts/ketcindy/data/fontF/xsi.txt deleted file mode 100644 index f16d04f0..00000000 --- a/texmf-dist/scripts/ketcindy/data/fontF/xsi.txt +++ /dev/null @@ -1,26 +0,0 @@ -xsin// -start// -[[2,0]]// -end// -xsi1k// -start// -[[-1.2134,2.2311],[0.027,1.3889],[1.2521,0.6232]]// -end// -xsi1c// -start// -[[-0.9837,3.0734],[0.6855,3.4869]]// -end// -start// -[[-0.6468,-0.5866],[0.9765,-0.1118]]// -end// -xsi2k// -start// -[[1.6043,2.5527],[0.027,1.3889],[-1.5503,0.3935]]// -end// -xsi2c// -start// -[[1.4818,3.1193],[0.4864,3.2265]]// -end// -start// -[[-0.4324,-0.3722],[-1.489,-0.2037]]// -end//// diff --git a/texmf-dist/scripts/ketcindy/data/fontF/ysi.cdy b/texmf-dist/scripts/ketcindy/data/fontF/ysi.cdy deleted file mode 100644 index ff075329..00000000 Binary files a/texmf-dist/scripts/ketcindy/data/fontF/ysi.cdy and /dev/null differ diff --git a/texmf-dist/scripts/ketcindy/data/fontF/ysi.txt b/texmf-dist/scripts/ketcindy/data/fontF/ysi.txt deleted file mode 100644 index 83f6b329..00000000 --- a/texmf-dist/scripts/ketcindy/data/fontF/ysi.txt +++ /dev/null @@ -1,26 +0,0 @@ -ysin// -start// -[[2,0]]// -end// -ysi1k// -start// -[[-1.3052,2.1239],[-0.5549,1.4042],[1.0684,1.3889]]// -end// -ysi1c// -start// -[[-0.8458,3.2418],[0.2567,3.2572]]// -end// -start// -[[-1.198,-0.1272],[0.4099,-0.8316]]// -end// -ysi2k// -start// -[[1.4665,2.8284],[0.7008,-0.0506],[-1.244,-0.8316]]// -end// -ysi2c// -start// -[[1.1756,1.7462],[0.9152,0.7406]]// -end// -start// -[[0.2721,-1.6738],[-1.1981,-1.5666]]// -end//// diff --git a/texmf-dist/scripts/ketcindy/data/fontF/zsi.cdy b/texmf-dist/scripts/ketcindy/data/fontF/zsi.cdy deleted file mode 100644 index 3326d6ad..00000000 Binary files a/texmf-dist/scripts/ketcindy/data/fontF/zsi.cdy and /dev/null differ diff --git a/texmf-dist/scripts/ketcindy/data/fontF/zsi.txt b/texmf-dist/scripts/ketcindy/data/fontF/zsi.txt deleted file mode 100644 index f62925cd..00000000 --- a/texmf-dist/scripts/ketcindy/data/fontF/zsi.txt +++ /dev/null @@ -1,28 +0,0 @@ -zsin// -start// -[[3,0]]// -end// -zsi1k// -start// -[[-0.8152,2.2618],[1.1756,2.6752]]// -end// -zsi1c// -start// -[[0.1802,3.7319],[0.2874,1.7564]]// -end// -zsi2k// -start// -[[1.3287,2.8896],[-1.3818,-0.02]]// -end// -zsi2c// -start// -[[0.5783,1.7564],[-0.7846,1.052]]// -end// -zsi3k// -start// -[[-1.1215,0.3629],[1.0684,0.8835]]// -end// -zsi3c// -start// -[[-0.5549,0.9754],[0.2108,-0.9388]]// -end//// diff --git a/texmf-dist/scripts/ketcindy/data/polyhedrons_obj/READMEj(kobayashi-suzuki).txt b/texmf-dist/scripts/ketcindy/data/polyhedrons_obj/READMEj(kobayashi-suzuki).txt deleted file mode 100644 index 897ac82f..00000000 --- a/texmf-dist/scripts/ketcindy/data/polyhedrons_obj/READMEj(kobayashi-suzuki).txt +++ /dev/null @@ -1,116 +0,0 @@ -®–Ê“Ê‘½–Ê‘Ìi‚y-‘½–Ê‘Ìj‚ÌÀ•Wƒf[ƒ^‚ɂ‚¢‚Ä 1994”N6ŒŽ22“ú - -‚PD‚Í‚¶‚ß‚É - - ‚RŽŸŒ³ƒ†[ƒNƒŠƒbƒh‹óŠÔ‚Ì‘½–Ê‘Ì‚Ì’†‚ÅCg•Ó‚Ì’·‚³‚Ì“™‚µ‚¢³‘½ŠpŒ`‚ð–Ê -‚É‚à‚“ʑ½ŠpŒ`h‚ÍC®–Ê“Ê‘½–Ê‘Ì(regular-faced convex polyhedron)‚ÆŒÄ -‚΂ê‚Ä‚¢‚Ü‚·D®–Ê“Ê‘½–Ê‘Ì‚ÍC³‘½–Ê‘ÌC€³‘½–Ê‘ÌC³‘½Šp’ŒC³‘½Šp”½ -’Œ‚𜂭‚Æ 92 Ží—Þ‚µ‚©‘¶Ý‚µ‚Ü‚¹‚ñD‚±‚Ì‚±‚Æ‚ðØ–¾‚µ‚½Victor A. -Zalgaller(1) ‚É‚¿‚È‚ñ‚ÅC®–Ê“Ê‘½–Ê‘Ì‚Í‚y-‘½–Ê‘Ì(Z-polyhedron)‚Æ‚àŒÄ‚Î -‚ê‚Ä‚¢‚Ü‚·D - - ®–Ê“Ê‘½–Ê‘Ì‚Ì–ÍŒ^‚ÍCŽ†‚È‚Ç‚ÅŠÈ’P‚Éì‚邱‚Æ‚ª‚Å‚«‚Ü‚·‚ªC’¸“_‚ÌÀ•W -‚ðŒvŽZ‚·‚邱‚Æ‚ª“‚­C‚±‚ê‚܂ŃRƒ“ƒsƒ…[ƒ^‚É‚æ‚é•\Ž¦‚Í¢“ï‚Å‚µ‚½DŽ„ -‚½‚¿‚ÍC‘½–ʑ̂̃Oƒ‰ƒt•\Œ»‚ð—˜—p‚µ‚½ŒvŽZƒAƒ‹ƒSƒŠƒYƒ€‚ðlˆÄ‚µC’Tõ‚Æ” -’lŒvŽZ‚É‚æ‚Á‚Ä‚·‚ׂĂ̮–Ê“Ê‘½ŠpŒ`‚Ì’¸“_‚̈ʒuÀ•W‚ð‹‚ß‚Ü‚µ‚½(2)D‚± -‚ÌÀ•Wƒf[ƒ^‚Í‚³‚Ü‚´‚Ü‚È—p“r‚É—˜—p‚Å‚«‚é‚ÆŽv‚í‚ê‚Ü‚·‚Ì‚ÅC‚±‚±‚ÉŒöŠJ‚¢ -‚½‚µ‚Ü‚·D‚Ç‚¤‚¼‚¨–𗧂ĉº‚³‚¢D - - À•Wƒf[ƒ^‚ÍŽ©—R‚É”z•z‚µ‚Ä‚¢‚½‚¾‚¢‚Ä‚©‚Ü‚¢‚Ü‚¹‚ñD‚½‚¾‚µCƒf[ƒ^‚É‚Í -•K‚¸‚±‚̃hƒLƒ…ƒƒ“ƒg‚ð“Y‚¦‚ĉº‚³‚¢D‚È‚¨CÀ•Wƒf[ƒ^‚Ì—˜—p‚ÉŠÖ‚µ‚Ä”­¶ -‚µ‚½ˆêØ‚ÌáŠQ‚ɂ‚¢‚ÄÓ”C‚𕉂¢‚©‚Ë‚Ü‚·‚Ì‚ÅCŒä—¹³‰º‚³‚¢D - - “d‹C’ÊM‘åŠw î•ñHŠw‰È ¬—Ñ Œõ•v - §182 “Œ‹ž“s’²•zŽs’²•zƒ–‹u1-5-1 - ‘—§—ðŽj–¯‘­”Ž•¨ŠÙ î•ñŽ‘—¿Œ¤‹†•” —é–Ø ‘쎡 - §285 ç—tŒ§²‘qŽsé“à’¬117 - E-mail: suzuki@alp0.cs.uec.ac.jp - suz-tak@tansei.cc.u-tokyo.ac.jp - -’F -(1) Zalgaller,V.A.: Convex Polyhedra with Regular Faces(‰p–ó”Å), -Consultants Bureau, 1969. (Œ´’˜‚Í Zalgaller,B.A.: Vypuklye -Mnogogranniki c Pravil'nymi Granyami, Nauka Press, 1966.) -(2) ¬—ÑŒõ•v, —é–ؑ쎡: ³‘½ŠpŒ`‚ð–Ê‚É‚à‚‚·‚ׂĂ̓ʑ½–Ê‘Ì‚Ì’¸“_À•W -‚ÌŒvŽZ, “d‹C’ÊM‘åŠw‹I—v, Vol.5, No.2, pp.147-184(1992). - - -‚QDƒf[ƒ^ƒtƒ@ƒCƒ‹‚ÌŽí—Þ - -‘½–ʑ̃f[ƒ^‚̓fƒBƒŒƒNƒgƒŠ data/ ‚É‚ ‚éD - -‚P‚‚̑½–ʑ̂ɂ‚«‚P‚‚̃tƒ@ƒCƒ‹‚ª‘Ήž‚·‚éDŠe‘½–ʑ̂̃tƒ@ƒCƒ‹–¼‚ðˆÈ‰º -‚ÉŽ¦‚·Dƒtƒ@ƒCƒ‹–¼‚Æ‘½–Ê‘Ì‚Ì–¼Ì‚Ƃ̑Ήž‚ÍCƒtƒ@ƒCƒ‹ dnamej.tex ‚Ì•\‚P -‚©‚ç•\‚R‚ðŽQÆ‚Ì‚±‚ÆD - -³‘½–Ê‘Ì(regular polyhedron): r01, r02, r03, r04, r05. -(r02 = a03, r03 = p04) - -€³‘½–Ê‘Ì(semiregular polyhedron): s01, s02, s03, s04, s05, s06, s07, -s08, s09, s10, s11, s12L, s12R, s13L, s13R. -(s12 ‚Æ s13 ‚Í‚»‚ꂼ‚ꋾ‘œŠÖŒW‚É‚ ‚鑽–Ê‘Ì‚ª‘¶Ý‚·‚é‚Ì‚ÅC¶ŽèŒn‚ƉEŽè -Œn‚ð‚»‚ê‚¼‚ê L, R ‚Å‹æ•Ê‚µ‚Ä‚¢‚éD) -(n37 ‚Í s08 ‚Ì”P‚ꂽ‚à‚ÌDƒ~ƒ‰[‚Ì‘½–ʑ̂ƌĂ΂ê‚éD‚±‚ê‚ð s14 ‚Æ‚Ý‚È -‚·ê‡‚ª‚ ‚éD) - -³‘½Šp’Œ(prism): p03, p04, p05, p06, p07, p08, p09, p10. - -³‘½Šp”½’Œ(antiprism): a03, a04, a05, a06, a07, a08, a09, a10. - -®–Ê“Ê‘½–Ê‘Ì(regular-faced convex polyhedron): - iœ‚­³‘½–Ê‘ÌC€³‘½–Ê‘ÌC³‘½Šp’ŒC³‘½Šp”½’Œj -n01, n02, n03, n04, n05, n06, n07, n08, n09, n10, n11, n12, n13, n14, -n15, n16, n17, n18, n19, n20, n21, n22, n23, n24, n25, n26, n27, n28, -n29, n30, n31, n32, n33, n34, n35, n36, n37, n38, n39, n40, n41, n42, -n43, n44L, n44R, n45L, n45R, n46L, n46R, n47L, n47R, n48L, n48R, n49, -n50, n51, n52, n53, n54, n55, n56, n57, n58, n59, n60, n61, n62, n63, -n64, n65, n66, n67, n68, n69, n70, n71, n72, n73, n74, n75, n76, n77, -n78, n79, n80, n81, n82, n83, n84, n85, n86, n87, n88, n89, n90, n91, -n92. -(n44, n45, n46, n47, n48 ‚É‚Í‹¾‘œŠÖŒW‚É‚ ‚鑽–Ê‘Ì‚ª‘¶Ý‚·‚é‚Ì‚ÅC¶Žè -Œn‚ƉEŽèŒn‚ð‚»‚ê‚¼‚ê L, R ‚Å‹æ•Ê‚µ‚Ä‚¢‚éD) - - -‚RDƒf[ƒ^‚̃tƒH[ƒ}ƒbƒg - - ƒf[ƒ^‚͂‚¬‚Ì‚SŽí—ނ̃f[ƒ^‚©‚ç‚È‚éD - E’¸“_‚É—×Ú‚·‚é’¸“_‚̃f[ƒ^ - E’¸“_‚ðˆÍ‚ޖʂ̃f[ƒ^ - E–Ê‚ð\¬‚·‚é’¸“_‚̃f[ƒ^ - E’¸“_‚ÌÀ•Wƒf[ƒ^ - - ’¸“_C–ʂ͔Ԇ‚ÅŽ¯•Ê‚·‚éDn ŒÂ‚Ì’¸“_‚ª‚ ‚é‚Æ‚«‚Ì’¸“_”Ô†‚Ì”ÍˆÍ‚Í -1 ”Ô‚©‚ç n ”Ô‚Ü‚Å‚Æ‚È‚éDm ŒÂ‚Ì–Ê‚ª‚ ‚é‚Æ‚«‚̖ʔԆ‚Ì”ÍˆÍ‚Í -1 ”Ô‚©‚ç m ”Ô‚Ü‚Å‚Æ‚È‚éD - - ‹ï‘Ì“I‚É‚ÍC‚‚¬‚̂悤‚Ƀf[ƒ^‚ª‚È‚ç‚ñ‚Å‚¢‚éDƒf[ƒ^‚Í’¸“_À•W -‚̃f[ƒ^‚¾‚¯ŽÀ”‚ÅC‚ ‚Æ‚Í®”‚Å‚ ‚é - - ’¸“_‚Ì” - ’¸“_”Ô† ’¸“_‚É—×Ú‚·‚é’¸“_‚Ì” —×Ú‚·‚é’¸“_‚̔ԆDDD - DDD - i’¸“_‚Ì”‚¾‚¯‘±‚­j - DDD - ’¸“_‚Ì” - ’¸“_”Ô† ’¸“_‚É—×Ú‚·‚é–Ê‚Ì” —×Ú‚·‚é–ʂ̔ԆDDD - DDD - i’¸“_‚Ì”‚¾‚¯‘±‚­j - DDD - –Ê‚Ì” - –ʔԆ –Ê‚ð\¬‚·‚é’¸“_‚Ì” –Ê‚ð\¬‚·‚é’¸“_‚̔ԆDDD - DDD - i–Ê‚Ì”‚¾‚¯‘±‚­j - DDD - ’¸“_‚Ì” - ’¸“_”Ô† ’¸“_‚Ì‚wÀ•W ’¸“_‚Ì‚xÀ•W ’¸“_‚Ì‚yÀ•W - DDD - i’¸“_‚Ì”‚¾‚¯‘±‚­j - DDD - - -‚SD‘½–ʑ̂̃n[ƒhƒRƒs[‚ɂ‚¢‚Ä - -Še‘½–ʑ̂̃n[ƒhƒRƒs[‚ð PBM Œ`Ž®‚Å‹L˜^‚µ‚½‚à‚Ì‚ªCƒfƒBƒŒƒNƒgƒŠ -hardcopy/ ‚É‚ ‚éDƒtƒ@ƒCƒ‹–¼‚̑Ήž‚ÍÀ•Wƒf[ƒ^‚Æ“¯‚¶‚Å‚ ‚éD - -ˆÈãD diff --git a/texmf-dist/scripts/ketcindy/data/polyhedrons_obj/READMEj(mitani).txt b/texmf-dist/scripts/ketcindy/data/polyhedrons_obj/READMEj(mitani).txt deleted file mode 100644 index 262fff5b..00000000 --- a/texmf-dist/scripts/ketcindy/data/polyhedrons_obj/READMEj(mitani).txt +++ /dev/null @@ -1,7 +0,0 @@ -OBJŒ`Ž®‚ÌÀ•Wƒf[ƒ^‚ɂ‚¢‚Ä - 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a/texmf-dist/scripts/ketcindy/data/polyhedrons_obj/s13R.obj +++ /dev/null @@ -1,152 +0,0 @@ -v -0.23192837 -0.31922203 0.91886124 -v 0.23192838 -0.31922203 0.91886124 -v 0.37526800 0.12193196 0.91886124 -v 0.00000000 0.39458012 0.91886124 -v -0.37526799 0.12193196 0.91886124 -v 0.00000000 -0.67692647 0.73605027 -v 0.45067192 -0.62029668 0.64197064 -v 0.64379533 -0.20918178 0.73605027 -v 0.72920248 0.23693225 0.64197064 -v 0.39788740 0.54764501 0.73605027 -v 0.00000000 0.76672886 0.64197064 -v -0.39788739 0.54764501 0.73605027 -v -0.72920248 0.23693225 0.64197064 -v -0.64379532 -0.20918178 0.73605027 -v -0.45067191 -0.62029668 0.64197064 -v -0.19312341 -0.90425562 0.38082092 -v 0.80031978 -0.46310163 0.38082092 -v 0.68774824 0.61804307 0.38082092 -v -0.37526799 0.84507325 0.38082092 -v -0.91967661 -0.09575908 0.38082092 -v -0.60719637 -0.76095695 0.22859687 -v -0.30415069 -0.95025066 -0.06719748 -v 0.13819168 -0.98812298 0.06719747 -v 0.53607907 -0.81262670 0.22859687 -v 0.80975434 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-0.73605027 -v 0.13033567 0.75556984 -0.64197064 -v -0.29900272 0.60731111 -0.73605027 -v -0.67831368 0.35744049 -0.64197064 -v -0.66998413 -0.09669906 -0.73605027 -v -0.28281717 -0.27515070 -0.91886123 -v 0.17428857 -0.35400135 -0.91886120 -v 0.39053348 0.05636583 -0.91886122 -v 0.06707433 0.38883729 -0.91886104 -v -0.34907938 0.18394906 -0.91886143 -f 1 5 14 -f 1 14 15 -f 1 15 6 -f 1 6 2 -f 1 2 3 4 5 -f 2 6 7 -f 2 7 8 -f 2 8 3 -f 3 8 9 -f 3 9 10 -f 3 10 4 -f 4 10 11 -f 4 11 12 -f 4 12 5 -f 5 12 13 -f 5 13 14 -f 6 15 16 -f 6 16 23 24 7 -f 7 24 17 -f 7 17 8 -f 8 17 26 27 9 -f 9 27 18 -f 9 18 10 -f 10 18 29 30 11 -f 11 30 19 -f 11 19 12 -f 12 19 32 33 13 -f 13 33 20 -f 13 20 14 -f 14 20 35 21 15 -f 15 21 16 -f 16 21 22 -f 16 22 23 -f 17 24 25 -f 17 25 26 -f 18 27 28 -f 18 28 29 -f 19 30 31 -f 19 31 32 -f 20 33 34 -f 20 34 35 -f 21 35 36 -f 21 36 22 -f 22 36 46 47 37 -f 22 37 23 -f 23 37 38 -f 23 38 24 -f 24 38 25 -f 25 38 48 49 39 -f 25 39 26 -f 26 39 40 -f 26 40 27 -f 27 40 28 -f 28 41 29 -f 28 40 50 51 41 -f 29 42 30 -f 29 41 42 -f 30 42 31 -f 31 42 52 53 43 -f 31 43 32 -f 32 43 44 -f 32 44 33 -f 33 44 34 -f 34 44 54 55 45 -f 34 45 35 -f 35 45 36 -f 36 45 46 -f 37 47 48 -f 37 48 38 -f 39 49 50 -f 39 50 40 -f 41 52 42 -f 41 51 52 -f 43 53 54 -f 43 54 44 -f 45 55 46 -f 46 56 47 -f 46 55 56 -f 47 56 57 -f 47 57 48 -f 48 57 49 -f 49 58 50 -f 49 57 58 -f 50 58 51 -f 51 58 59 -f 51 59 52 -f 52 59 53 -f 53 59 60 -f 53 60 54 -f 54 60 55 -f 55 60 56 -f 56 60 59 58 57 diff --git a/texmf-dist/scripts/ketcindy/dirhead.txt b/texmf-dist/scripts/ketcindy/dirhead.txt deleted file mode 100644 index e87a8005..00000000 --- a/texmf-dist/scripts/ketcindy/dirhead.txt +++ /dev/null @@ -1,7 +0,0 @@ -Dirhead=Dircdy; -Dirwork=gethome()+pathsep()+"ketcindy"; -Dircdy=Dirwork; -setdirectory(Dirhead); -import("setketcindy.txt"); -import("ketoutset.txt"); -setdirectory(Dirwork); diff --git a/texmf-dist/scripts/ketcindy/ketcindy.sh b/texmf-dist/scripts/ketcindy/ketcindy.sh deleted file mode 100755 index 23465f4b..00000000 --- a/texmf-dist/scripts/ketcindy/ketcindy.sh +++ /dev/null @@ -1,100 +0,0 @@ -#!/bin/sh -# -# KETCindy starter script -# -# (C) 2017 Norbert Preining -# Licensed under the same license terms as ketpic itself, that is GPLv3+ -# - -BinaryName=Cinderella2 -TemplateFile=template1basic.cdy -systype=`uname` - -if [ "$1" = "-c" ] -then - shift - cinderella="$1" -else - cinderella=`which $BinaryName 2>/dev/null` -fi - -if [ -z "$cinderella" ] -then - case $systype in - Darwin) - if [ -r /Applications/Cinderella2.app/Contents/MacOS/Cinderella2 ] - then - cinderella=/Applications/Cinderella2.app/Contents/MacOS/Cinderella2 - else - echo "Cannot find $BinaryName!" >&2 - exit 1 - fi - ;; - *) - echo "Cannot find $BinaryName!" >&2 - exit 1 - ;; - esac -fi - -if [ ! -x "$cinderella" ] ; then - echo "Program $cinderella is not executable!" >&2 - exit 1 -fi -# find real path -realcind=`realpath "$cinderella"` -cinddir=`dirname "$realcind"` -case $systype in - Darwin) - plugindir="$cinddir/../PlugIns";; - *) - plugindir="$cinddir/Plugins";; -esac - -plugin="$plugindir/KetCindyPlugin.jar" - -# find Jar -KetCdyJar=`kpsewhich -format=texmfscripts KetCindyPlugin.jar` -# search for template.cdy -TempCdy=`kpsewhich -format=texmfscripts $TemplateFile` - -if [ -z "$TempCdy" -o -z "$KetCdyJar" ] -then - echo "Cannot find $TemplateFile via kpsewhich, is ketpic installed?" >&2 - exit 1 -fi - - -if [ ! -r "$plugin" ] ; then - echo "Cinderella is *NOT* set up for KETCindy!" - echo "You need to copy" - echo " $KetCdyJar" - echo "into" - echo " $plugindir" - echo "" - exit 1 -fi - -# check whether the .jar md5sum is fine, but don't make this an error -case $systype in - Darwin) - __md5sum=md5;; - *) - __md5sum=md5sum;; -esac -myjarmd=`cat "$KetCdyJar" | $__md5sum` -sysjarmd=`cat "$plugin" | $__md5sum` -if [ ! "$myjarmd" = "$sysjarmd" ] -then - echo "The installed version of the plugin in" - echo " $plugin" - echo "differs from the version shipped in" - echo " $KetCdyJar" - echo "You might need to update the former one with the later one!" -fi - - -mkdir -p ~/ketcindy - -exec "$cinderella" "$TempCdy" - diff --git a/texmf-dist/scripts/ketcindy/ketjava/KetCindyPlugin.jar b/texmf-dist/scripts/ketcindy/ketjava/KetCindyPlugin.jar deleted file mode 100644 index 2ae7ceda..00000000 Binary files a/texmf-dist/scripts/ketcindy/ketjava/KetCindyPlugin.jar and /dev/null differ diff --git a/texmf-dist/scripts/ketcindy/ketlib/ketcindylib3dhelpE.txt b/texmf-dist/scripts/ketcindy/ketlib/ketcindylib3dhelpE.txt deleted file mode 100644 index 27b40955..00000000 --- a/texmf-dist/scripts/ketcindy/ketlib/ketcindylib3dhelpE.txt +++ /dev/null @@ -1,29 +0,0 @@ -//help:start(); -//help:Changstyle3d*(change the attribute of 3d plot data); -//help:Findangle*(specify the angles theta and phi); -//help:Cancoordpara*(specify the coordinate with respect to canonical coordinate); -//help:Projcoordpara*(specify the coordinate of projected image); -//help:Parapt*(the coordinate of the point in the projected plane); -//help:Spaceline*(generate the plot data of 3d segments); -//help:Spacecurve*(generate the plot data of 3d curve); -//help:Xyzax3data*(generate the plot data of coordinate axes); -//help:Datalist3d*(list of plot data of the all objects on the screen. Both 2d and 3d values are returned); -//help:Skeletonparadata*(generate the plot data of the objects with hidden line elimination); -//help:Embed*(generate the embedded plot data); -//help:Rotate3pt*(rotate the point); -//help:Rotate3data*(rotate 3d plot data); -//help:Translate3pt*(parallelly transport the point); -//help:Translate3data*(parallelly transport the plot data); -//help:Reflect3point*(reflect the point); -//help:Xyzcoord*(coordinate of a point determined with respect to main screen and sub screen); -//help:PutonCurve3d*(put a point on the 3d curve); -//help:Ptsegdata*(generate the 3d plot data of point and segment derived from those on 2d screen); -//help:Putpoint3d*(put a specific point); -//help:Perppt*(the foot of the perpendicular on the plane); -//help:Perpplane*(a fiducial point of a plane with specific point on it and with specific normal vector); -//help:Drawpoint3d*(draw a specific point); -//help:Putaxes3d*(take a point with specific coordinates as geometric one); -//help:IntersectsgpL*(intersection between line and plane); -//help:Bezier3*(draw 3d Bezier curve); -//help:Mkbezierptcrv3*(draw 3d Bezier curve by automatically taking controll points); -//help:end(); diff --git a/texmf-dist/scripts/ketcindy/ketlib/ketcindylib3dhelpJ.txt b/texmf-dist/scripts/ketcindy/ketlib/ketcindylib3dhelpJ.txt deleted file mode 100644 index bd29d25f..00000000 --- a/texmf-dist/scripts/ketcindy/ketlib/ketcindylib3dhelpJ.txt +++ /dev/null @@ -1,45 +0,0 @@ -//help:start(); -//help:Changstyle3d*(3dプロットデータã®å±žæ€§ã‚’変更); -//help:Findangle*(theta,phiを求ã‚ã‚‹); -//help:Cancoordpara*(標準座標を求ã‚ã‚‹); -//help:Projcoordpara*(投影座標を求ã‚ã‚‹); -//help:Parapt*(点ã®æŠ•å½±é¢ã§ã®åº§æ¨™); -//help:Spaceline*(空間ã®æŠ˜ç·šãƒ‡ãƒ¼ã‚¿ä½œæˆ); -//help:Spacecurve*(空間曲線ã®ãƒ‡ãƒ¼ã‚¿ä½œæˆ); -//help:Xyzax3data*(座標軸ã®ãƒ‡ãƒ¼ã‚¿ä½œæˆ); -//help:Datalist3d*(ç”»é¢ã«æã‹ã‚Œã¦ã„ã‚‹ã™ã¹ã¦ã®ãƒ—ロットデータ.戻り値ã¯3d,2d); -//help:Skeletonparadata*(スケルトン処ç†ã®ãƒ‡ãƒ¼ã‚¿ä½œæˆ); -//help:Embed*(埋ã‚è¾¼ã¿ãƒ‡ãƒ¼ã‚¿ä½œæˆ); -//help:Rotatept3d*(空間点を回転); -//help:Rotatedata3d*(プロットデータを回転); -//help:Translatept3d*(空間点を平行移動); -//help:Translatedata3d*(空間プロットデータを平行移動); -//help:Reflectpoint3d*(点をé¡æ˜ ); -//help:Xyzcoord*(主副画é¢ã§æ±ºã¾ã‚‹ç‚¹ã®åº§æ¨™); -//help:PutonCurve3d*(空間曲線上ã«ç‚¹ã‚’ã¨ã‚‹); -//help:Ptsegdata*(ç”»é¢ã«ã¨ã£ãŸç‚¹ã¨ç·šåˆ†ã‹ã‚‰ç©ºé–“ã®ç‚¹ã¨ç·šåˆ†ã‚’作æˆ); -//help:Putpoint3d*(空間点をã¨ã‚‹); -//help:Perppt*(å¹³é¢ã«ä¸‹ã‚ã—ãŸåž‚ç·šã®è¶³); -//help:Perpplane*(点を通り垂直ãªå¹³é¢ä¸Šã®åŸºæº–点); -//help:Drawpoint3d*(空間点をæã); -//help:Putaxes3d*(座標点を幾何点ã¨ã—ã¦ã¨ã‚‹); -//help:IntersectsgpL*(空間ã®ç›´ç·šã¨å¹³é¢ã®äº¤ç‚¹); -//help:Bezier3d*(空間ベジェ曲線); -//help:Mkbezierptcrv3d*(制御点を自動的ã«ã¨ã‚‹ç©ºé–“ベジェ曲線); -//help:Readobj*(objファイルを読ã¿è¾¼ã‚€ï¼Žã‚ªãƒ—ションã¯ä¸Šä¸‹å転(符å·ï¼‰ã¨å€çŽ‡); -//help:VertexandEdge*(頂点ã¨é¢ã‹ã‚‰è¾ºã‚’求ã‚,辺をæã); -//help:Phparadata*(多é¢ä½“を陰線処ç†ã—ã¦æã -//追加オプション : "Hidden=線種"); -//help:Nohiddenbyfaces*(多é¢ä½“ã¨ç©ºé–“曲線を陰線処ç†); -//help:Fixpoint3d*(空間ã®å›ºå®šç‚¹ã‚’ã¨ã‚‹); -//help:Sf3data*(陰線処ç†ãªã—ã®ç©ºé–“曲é¢ã‚’æã); -//help:Concatobj*(ã„ãã¤ã‹ã®objデータをçµåˆ); -//help:Crvsfparadata*(曲線ã®æ›²é¢ã«ã‚ˆã‚‹é™°ç·šå‡¦ç†); -//help:Intersectcrvsf*(曲線ã¨æ›²é¢ã®äº¤ç‚¹ã‚’求ã‚ã‚‹); -//help:Intersectcrvsf*(曲線ã¨æ›²é¢ã®äº¤ç‚¹ã‚’求ã‚ã‚‹); -//help:Sfbdparaparadata*(空間曲é¢ã®é™°ç·šå‡¦ç†); -//help:Wireparadata*(曲é¢ã®ãƒ¯ã‚¤ãƒ¤ãƒ•ãƒ¬ãƒ¼ãƒ ã‚’陰線処ç†); -//help:Dist3d*(空間ã®ï¼’点ã®è·é›¢); - - -//help:end(); diff --git a/texmf-dist/scripts/ketcindy/ketlib/ketcindylib3dlogr.txt b/texmf-dist/scripts/ketcindy/ketlib/ketcindylib3dlogr.txt deleted file mode 100644 index 55b2fc71..00000000 --- a/texmf-dist/scripts/ketcindy/ketlib/ketcindylib3dlogr.txt +++ /dev/null @@ -1,34 +0,0 @@ -// 2018.03.27 -// Start3d changed (for C) -// 2018.02.27 -// Sfbdpara,... changed ("Res=" made from fname) -// 2018.02.26 -// Sfcutparadata (renamed from Sfcutdata) changed -// 2018.02.24 -// Sfcutdata added -// 2018.02.23 -// Crvonsfparadata added -// Wireparadata added -// Skeletonparadata rechanged to old version -// 2018.02.22 -// Intersectcrvsf added (changed to R) -// Sdbdpradata,Crvsfparadata,Intersectcrvsf changed (title printing) -// 2018.02.20 -// Addpoints added -// PthiddenQ,Meetpoints debugged -// 2018.02.18 -// Sfbdparadata debuggded (OTHERPARTITION ) -// 2018.02.11 -// Sfbdparadata added -// 2018.01.04 -// Skeletonparadata(Skeletondatacindy) majorly changed -// 2017.10.23 -// Rotatedata3d, Translatedata3d debugged ([]) -// 2017.10.08 -// Bezier3,Putbezier3data,Mkbezierptcrv3d greatly changed -// 2017.10.07 -// Mkpointlist debugged -// Start3d,Ptseg3d, Setangle, Mkpointlist, Mkseq3d, Putpoint3d Skeleton..,Putbezier.. -// changed ( "=" removed from VLIST) -// 2017.09.18 -// SCIWR,SCIRE removed diff --git a/texmf-dist/scripts/ketcindy/ketlib/ketcindylib3dr.cs b/texmf-dist/scripts/ketcindy/ketlib/ketcindylib3dr.cs deleted file mode 100644 index ce7a65f1..00000000 --- a/texmf-dist/scripts/ketcindy/ketlib/ketcindylib3dr.cs +++ /dev/null @@ -1,4503 +0,0 @@ -// 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 -// - -println("ketcindylib3d(20180327) loaded"); - -//help:start(); - -Ketinit3d():=Ketinit3d(1); -Ketinit3d(sf):=( - regional(tmp); - tmp=round(4*SW.y)/4; -// Ketinit3d(sf,[round(SW.x)+1,tmp-0.5,tmp-1]); - Ketinit3d(sf,[-5,tmp-0.5,tmp-1]); -); -Ketinit3d(subflg,position):=( -//help:Ketinit3d(subflg=1) - regional(ctr,tmp,tmp1,tmp2,tmp3,tmp4,xPos,yTh,yPh); -// println("KETCindy3d V.2.3.5(2016.02.03)"); - BezierNumber3=1; //15.02.28 - if(!islist(BZLIST3), - BZLIST3=[]; //15.02.28 - , - tmp=apply(allpoints(),text(#)); - tmp1=select(tmp,substring(#,length(#)-1,length(#))=="p"); - tmp2=[]; - forall(tmp1,ctr, - tmp=substring(ctr,0,length(ctr)-1); - tmp=select(BZLIST3,#_1==tmp); - if(length(tmp)>0, - tmp2=append(tmp2,tmp_1); - ); - ); - BZLIST3=tmp2; - ); - SUBSCR=subflg; - Setwindow("Msg=no"); - if(length(position)>2, - xPos=position_1; - yTh=position_2; - yPh=position_3; - , - xPos=0; - yTh=position_1; - yPh=position_2; - ); -// THETA=60*pi/180; -// PHI=30*pi/180; - FocusPoint=[0,0,0]; - EyePoint=[5,5,5]; - Listplot("th",[[xPos,yTh],[xPos+9,yTh]],["notex","linecolor->[0,1,0]","Msg=no"]); - Listplot("ph",[[xPos,yPh],[xPos+9,yPh]],["notex","linecolor->[0,1,0]","Msg=no"]); - //16.02.10 - PutonCurve("TH",sgth,[xPos,xPos+9,"Msg=no"]); - PutonCurve("FI",sgph,[xPos,xPos+9,"Msg=no"]); - THETA=(TH.x-xPos)*20*pi/180; - PHI=(FI.x-xPos)*40*pi/180; -// Defvar("THETA",THETA); // 16.06.20 -// Defvar("PHI",PHI); // 16.06.20 - drawtext([xPos-0.8,yTh-0.1],Sprintf((TH.x-xPos)*20,2),align->"right"); //17.05.02 - drawtext([xPos-0.8,yPh-0.1],Sprintf((FI.x-xPos)*40,2),align->"right"); //17.05.02 - tmp="Setangle("+text((TH.x-xPos)*20)+","+text((FI.x-xPos)*40)+")"; - GLIST=append(GLIST,tmp); - Addax(0); - TSIZE=10; - TSIZEZ=10; - ErrFlg=0; -); - -Start3d():=Start3d([]); -Start3d(ptexception):=( -//help:Start3d(); -//help:Start3d(execptionptlist); - regional(xmn,xMx,ymn,yMx,pt,pt3,pt2, - xPos,yTh,yPh,Eps,tmp,tmp1,tmp2,tmp3,tmp4); - ConstantListC=[[50,50],[5000,1500,500,200],[0.00001,0.01,0.1]]; - FuncListC=[]; - CommandListC=[]; - GCLIST=[]; - GLIST=[]; - FUNLIST=[]; - COM0thlist=[]; - COM1stlist=[]; - COM2ndlist=[]; - SEG3dlist=[]; - OutFileList=[]; - FigPdfList=[]; // 16.04.08 - ErrFlag=0; - OBJCMD=[]; // 16.11.29from - OCNAME=Fhead; - OCOPTION=["m","v"];// 16.11.29until - ArrowlineNumber=1; // 16.01.31 - ArrowheadNumber=1; - BezierNumber=1; //16.01.31 - BezierNumber3=1; //16.08.19 - Fnametex=Fhead+".tex"; // 15.04.06 - FnameR=Fhead+".r"; - FnameRbody=Fhead+"body.r"; - Fnameout=Fhead+".txt"; -// Ketinit3d(SUBSCR); // 16.06.20 - Setwindow("Msg=no"); // 16.06.20from - tmp=round(4*SW.y)/4; - xPos=-5;yTh=tmp-0.5;yPh=tmp-1; - Listplot("th",[[xPos,yTh],[xPos+9,yTh]], - ["notex","linecolor->[0,1,0]","Msg=no"]); - Listplot("ph",[[xPos,yPh],[xPos+9,yPh]], - ["notex","linecolor->[0,1,0]","Msg=no"]); - //16.02.10 - PutonCurve("TH",sgth,[xPos,xPos+9,"Msg=no"]); - PutonCurve("FI",sgph,[xPos,xPos+9,"Msg=no"]); - drawtext([xPos-0.8,yTh-0.1],Sprintf((TH.x-xPos)*20,2),align->"right"); //17.05.02 - drawtext([xPos-0.8,yPh-0.1],Sprintf((FI.x-xPos)*40,2),align->"right"); //17.05.02 - tmp="Setangle(" - +format((TH.x-xPos)*20,5)+"," - +format((FI.x-xPos)*40,5)+")"; - GLIST=append(GLIST,tmp); - THETA=(TH.x-xPos)*20*pi/180; - PHI=(FI.x-xPos)*40*pi/180; // 16.06.20until - if(isselected(TH) % isselected(FI), // 17.05.18from - if(length(Ch)>0, - ChNum=Ch_(length(Ch)); - if(ChNum==0, ChNum=1); - , - ChNum=1; - ); - Ch=[0]; - );// 17.05.18until - if(length(VLIST)==0, // 16.06.20 - tmp=remove(allpoints(),[NE,SW,TH,FI,O,X,Y,Z]);//17.06.02 - tmp4=remove(tmp,ptexception); - forall(tmp4,pt, - tmp1=text(pt); - tmp=substring(tmp1,length(tmp1)-1,length(tmp1)); - if(tmp!="z", - tmp=parse(tmp1+"z.y"); - pt3=Xyzcoord(pt.x,pt.y,tmp); - Defvar(tmp1+"3d",pt3); - pt2=Parapt(pt3); // 16.05.28from - Defvar(tmp1+"2d",pt2); // 16.05.28until - ); - ); - , - if(isselected(NE) % isselected(SW), - tmp=remove(allpoints(),[NE,SW,TH,FI]); - tmp4=remove(tmp,ptexception); - forall(tmp4,pt, - tmp1=text(pt); - tmp=substring(tmp1,length(tmp1)-1,length(tmp1)); - if(tmp!="z", - tmp=select(VLIST,#_1==tmp1+"3d"); //17.10.07 - pt3=tmp_1_2; - tmp=tmp1+".xy=Parapt("+pt3+")_[1,2];"; - parse(tmp); -// if(SUBSCR==1, -// tmp=tmp1+"z"+".x=NE.x-SW.x+"+tmp1+".x"; -// parse(tmp); -// ); - ); - ); - , - tmp=remove(allpoints(),[NE,SW,TH,FI]); - tmp4=remove(tmp,ptexception); - forall(tmp4,pt, - tmp1=text(pt); - tmp=substring(tmp1,length(tmp1)-1,length(tmp1)); - if(tmp!="z", - tmp2=parse(tmp1+"z"); - if(isselected(pt) % isselected(tmp2), - Defvar(tmp1+"2d",pt.xy); - tmp=parse(tmp1+"z.y"); - tmp=Xyzcoord(pt.x,pt.y,tmp); - Defvar(tmp1+"3d",tmp); - ); - ); - ); - ); - ); - if(SUBSCR==1, - xmn=SW.x+NE.x-SW.x; - xMx=NE.x+NE.x-SW.x; - ymn=SW.y; - yMx=NE.y; - drawpoly([[xMx,yMx],[xmn,yMx], - [xmn,ymn],[xMx,ymn]],color->[1,1,1]); - connect([[NE.x-SW.x,yMx],[NE.x-SW.x,ymn]], - color->[0.5,0.5,0.5]); - ); - // for Presentation //17.07.01from - letterc=[0.98,0.13,0,0.43]; boxc=[0,0.32,0.52,0]; - shadowc=[0,0,0,0.5]; mboxc="yellow"; //17.03.02 regional debugged - SlideColorList=[letterc,boxc,boxc,boxc,shadowc,shadowc,6,1.3, - letterc,mboxc,mboxc,mboxc,62,2,letterc]; - ThinDense=0.1; //17.07.01until - Ptseg3data(ptexception); //16.08.23 -); - -Setangle(theta,phi):=( //16.12.24 -//help:Setangle(60,30); - regional(xmn,xMx,ymn,yMx,pt,pt3,pt2, - xPos,yTh,yPh,Eps,tmp,tmp1,tmp2,tmp3,tmp4); - tmp=round(4*SW.y)/4; - xPos=-5;yTh=tmp-0.5;yPh=tmp-1; - if(theta=="",theta=THETA*180/pi); // 17.01.19 - if(phi=="",phi=PHI*180/pi); - THETA=theta*pi/180; - TH.x=theta/20+xPos; - PHI=phi*pi/180; - FI.x=phi/40+xPos; -// drawtext([xPos-0.8,yTh-0.1],text(theta)); //17.05.05 -// drawtext([xPos-0.8,yPh-0.1],text(phi)); - tmp="Setangle(" - +format(theta,5)+","+format(phi,5)+")"; - GLIST=append(GLIST,tmp); - if(length(VLIST)==0, // 16.06.20 - tmp=remove(allpoints(),[NE,SW,TH,FI]); - tmp4=remove(tmp,ptexception); - forall(tmp4,pt, - tmp1=text(pt); - tmp=substring(tmp1,length(tmp1)-1,length(tmp1)); - if(tmp!="z", - tmp=parse(tmp1+"z.y"); - pt3=Xyzcoord(pt.x,pt.y,tmp); - Defvar(tmp1+"3d",pt3); - pt2=Parapt(pt3); // 16.05.28from - Defvar(tmp1+"2d",pt2); // 16.05.28until - ); - ); - , - if(isselected(NE) % isselected(SW), - tmp=remove(allpoints(),[NE,SW,TH,FI]); - tmp4=remove(tmp,ptexception); - forall(tmp4,pt, - tmp1=text(pt); - tmp=substring(tmp1,length(tmp1)-1,length(tmp1)); - if(tmp!="z", - tmp=select(VLIST,#_1==tmp1+"3d"); - pt3=tmp_1_2; - tmp=tmp1+".xy=Parapt("+pt3+")_[1,2];"; - parse(tmp); - ); - ); - , - tmp=remove(allpoints(),[NE,SW,TH,FI]); - tmp4=remove(tmp,ptexception); - forall(tmp4,pt, - tmp1=text(pt); - tmp=substring(tmp1,length(tmp1)-1,length(tmp1)); - if(tmp!="z", - tmp2=parse(tmp1+"z"); - if(isselected(pt) % isselected(tmp2), - Defvar(tmp1+"2d",pt.xy); - tmp=parse(tmp1+"z.y"); - tmp=Xyzcoord(pt.x,pt.y,tmp); - Defvar(tmp1+"3d",tmp); - ); - ); - ); - ); - ); - forall(Datalist3d(),#, - tmp1=replace(#,"3d","2d"); - tmp2=Projpara(#,["nodata"]); - tmp=tmp1+"="+textformat(tmp2,5); - parse(tmp); - ); - Ptseg3data(ptexception); -); - -Changestyle3d(nameL,style):=( -//help:Changestyle3d(["geoseg3d","ax3d"],["notex"]); - regional(nmL,name,tmp,tmp1,tmp2); - if(islist(nameL),nmL=nameL,nmL=[nameL]); - tmp1=[]; - forall(nmL,name, - tmp=parse(name); - if(isstring(tmp_1), - tmp1=concat(tmp1,tmp); - , - tmp1=append(tmp1,name); - ); - tmp=apply(tmp1,replace(#,"3d","2d")); - Changestyle(tmp,style); - tmp=apply(tmp,"sub"+#); // 15.05.24 - Changestyle(tmp,style); - ); -); - -Dist3d(pt1):=Dist3d(pt1,[0,0,0]); -Dist3d(pt1,pt2):=( -//help:Dist3d(A3d,B3d); -//help:Dist3d(A,B); -//help:Dist3d("A","B"); - regional(p1,p2); - if(islist(pt1), - p1=pt1; - , - if(ispoint(pt1),p1=text(pt1),p1=pt1); - p1=parse(p1+"3d"); - ); - if(islist(pt2), - p2=pt2; - , - if(ispoint(pt2),p2=text(pt2),p2=pt2); - p2=parse(p2+"3d"); - ); - sqrt((p2-p1)*(p2-p1)); -); - -Findangle(vec):=( -//help:Findangle([2,1,4]); -//help:Findangle([0,0,1,0]); - regional(vec3,vec2,Eps,th,ph,tmp); - Eps=10^(-4); - vec3=vec_(1..3); - vec2=vec_(1..2); - th=arccos(vec_3/|vec3|); - if(|vec2|>Eps, - ph=arccos(vec_1/|vec2|); - if(vec_2<0, - ph=2*pi-ph; // 15.03.28 - ); - , - if(length(vec)>3,ph=vec_4*pi/180,ph=PHI); - ); - [th,ph]; -); - -Cancoordpara(pc):=( -//help:Cancoordpara([1,2,0]); - regional(Xz,Yz,Zz,tmp1,tmp2,tmp3); - Xz=pc_1; Yz=pc_2; Zz=pc_3; - tmp1=-Xz*sin(PHI)-Yz*cos(PHI)*cos(THETA)+Zz*cos(PHI)*sin(THETA); - tmp2=Xz*cos(PHI)-Yz*sin(PHI)*cos(THETA)+Zz*sin(PHI)*sin(THETA); - tmp3=Yz*sin(THETA)+Zz*cos(THETA); - [tmp1,tmp2,tmp3]; -); - -Zparapt(cc):=( - regional(x,y,z); - x=cc_1; y=cc_2; z=cc_3; - x*cos(PHI)*sin(THETA)+y*sin(PHI)*sin(THETA)+z*cos(THETA); -); - -Projcoordpara(cc):=( -//help:Projcoordpara([3,1,2]); - regional(tmp); - tmp=Parapt(cc); - [tmp_1,tmp_2,Zparapt(cc)]; -); - -Parapt(pt):=( -//help:Parapt([2,1,5]); - regional(Xz,Yz); - Xz=-pt_1*sin(PHI)+pt_2*cos(PHI); - Yz=-pt_1*cos(PHI)*cos(THETA)-pt_2*sin(PHI)*cos(THETA)+pt_3*sin(THETA); - [Xz,Yz]; -); - -ProjCurve(crv):=( -//help:Projcurve("sl3d1"); - regional(CurveL,Curve,Eps,AnsL,Out,sp,cp,st,,ct,ii,pt, - Xz,Yz,tmp,tmp1,tmp2); - Eps=10^(-6); - sp=sin(PHI); cp=cos(PHI); - st=sin(THETA); ct=cos(THETA); - if(isstring(crv),CurveL=parse(crv),CurveL=crv); - if(MeasureDepth(CurveL)==1,CurveL=[CurveL]); - Out=[]; - forall(CurveL,Curve, - AnsL=[]; - forall(1..length(Curve),ii, - pt=Curve_ii; - if(pt_1!="inf", - Xz=-pt_1*sp+pt_2*cp; - Yz=-pt_1*cp*ct-pt_2*sp*ct+pt_3*st; - tmp=[Xz,Yz]; - if(ii==1, - AnsL=[tmp]; - , - tmp1=AnsL_(length(AnsL)); - if(tmp1_1=="inf" % |tmp-tmp1|>Eps, - AnsL=append(AnsL,tmp); - ); - ); - , - AnsL=append(AnsL,["inf"]); - ); - ); - tmp1=[]; - tmp2=select(1..length(AnsL),AnsL_#==["inf"]); - tmp=1; - forall(tmp2, - if(#>tmp, - tmp1=concat(tmp1,[AnsL_(tmp..(#-1))]) - ); - tmp=#+1; - ); - if(tmp0, //17.05.24 - name2=replace(name3,"3d","2d"); - , - name2="para"+name3; - ); - ptL=Projcurve(name3); - ptL=select(ptL,length(#)>1);//17.06.02 - if(length(ptL)==1, - ptL=ptL_1; - ); - Out=append(Out,ptL); - if(Noflg<3, - println("generate projparadata "+name2); - tmp=name2+"="+textformat(ptL,5); - parse(tmp); - tmp=name2+"=Projpara("+name3+")"; - GLIST=append(GLIST,tmp); - ); - if(Noflg<2, - if(isstring(Ltype), - Ltype=GetLinestyle(text(Noflg)+Ltype,name2); - , - if(Noflg==1,Ltype=0); - ); - GCLIST=append(GCLIST,[name2,Ltype,opcindy]); - ); - ); - if(length(Out)==1,Out=Out_1); -// Out=Flattenlist(Out); - if(length(Out)==1,Out=Out_1); // 15.02.24 - tmp=[]; - forall(Out, - if(length(#)>0,tmp=append(tmp,#)); - ); - Out=tmp; - Out; -); - -InvparaptPp(pt,pd):=( - regional(Eps,fk,nfk,ph,fh,ah,bh,ak,bk,v1,v2, - nn,s0,t2,out,tmp,tmp1,tmp2,flg); - Eps=10^(-4); - if(isstring(pd), - fk=pd; - , - fk=textformat(pd,5); - ); - nfk=Numptcrv(parse(fk)); - flg=0; - tmp=pt; - if(length(tmp)==1, - ph=tmp; - fh=pd; - , - fh=Projpara(fk,["nodata"]); - if(nfk>2, - tmp1=Nearestpt(tmp,fh); - ph=tmp1_2; - , - ah=Ptcrv(1,fh); bh=Ptcrv(2,fh); - v1=tmp-ah; v2=bh-ah; - tmp1=Crossprod(v1,v2); - if(abs(tmp1)>Eps, - println(" Not on the line"); - out=[]; - flg=1; - , - ph=Dotprod(v1,v2)/|v2|^2+1; - ); - ); - ); - if(flg==0, - if(nfk>2, - nn=floor(ph); - s0=ph-nn; - if(ph>Numptcrv(fh)-Eps, - out=[Ptend(fk),Numptcrv(fh)]; - flg=1; - ); - , - nn=1; - s0=ph-1; - ); - ); - if(flg==0, - ak=Ptcrv(nn,fk); bk=Ptcrv(nn+1,fk); - ah=Ptcrv(nn,fh); bh=Ptcrv(nn+1,fh); - ph=(1-s0)*ah+a0*bh; - t2=s0; - pk=(1-t2)*ak+t2*bk; - out=[pk,nn+t2]; - ); - out; -); - -Invparapt(pt,pd):=( - regional(tmp); - tmp=InvparaptPp(pt,pd); - tmp_1; -); - -Subgraph(name,opcindy):=( - regional(tht,tmp,tmp1); - tht=THETA; THETA=pi/2; - tmp=Projpara(name3,["nodata"]); - if(length(tmp)>0, //15.08.17 - tmp=Translatedata("",[tmp],[NE.x-SW.x,0],["nodata"]); - tmp1=replace("sub"+name,"3d","2d"); - tmp=tmp1+"="+Textformat(tmp,5); - parse(tmp); - GCLIST=append(GCLIST,[tmp1,0,opcindy]); - ); - THETA=tht; // 15.11.03 -); - -Spaceline(ptlist):=Spaceline(ptlist,[]); // 16.02.22 from -Spaceline(Arg1,Arg2):=( - regional(name,tmp,tmp1,tmp2); - if(isstring(Arg1), - Spaceline(Arg1,Arg2,[]); - , - tmp=text(Arg1); - tmp=substring(tmp,1,length(tmp)-1); - name="-"+replace(tmp,",",""); - Spaceline(name,Arg1,Arg2); - ); -); // 16.02.22 until -Spaceline(nm,ptlistorg,optionorg):=( -//help:Spaceline("1",[[2,5,1],[4,2,3]]); -//help:Spaceline([A,B]); - regional(name2,name3,options,Out,tmp,tmp1,tmp2, - opstr,opcindy,Ltype,Noflg,eqL,ptlist, Msg); - ptlist=apply(ptlistorg,if(ispoint(#),parse(text(#)+"3d"),#)); // 16.02.10 - if(substring(nm,0,2)=="bz", - name2=replace(nm,"bz","bz2d"); - name3=replace(nm,"bz","bz3d"); - , - if(substring(nm,0,1)=="-", - tmp=substring(nm,1,length(nm)); - if(indexof(tmp,"3d")>0,name3=tmp,name3=tmp+"3d"); - name2=replace(name3,"3d","2d"); - , - name2="sl2d"+nm; - name3="sl3d"+nm; - ); - ); - options=select(optionorg,length(#)>0); // 160415 - tmp=Divoptions(options); - Ltype=tmp_1; - Noflg=tmp_2; - eqL=tmp_5; - opcindy=tmp_(length(tmp)); - Msg=1; - forall(eqL, - tmp=substring(#,0,1); - if(Toupper(tmp)=="M", - tmp=indexof(#,"="); - tmp1=substring(#,tmp,tmp+1); - if(Toupper(tmp1)=="N", - Msg=0; - ); - ); - ); - if(Noflg<3, - if(Msg==1, - println("generate Spaceline "+name3); - ); - tmp=name3+"="+ptlist; - parse(tmp); - tmp1=Projpara(name3,["nodata"]); - tmp=name2+"="+textformat(tmp1,5); - parse(tmp); - tmp="["; - forall(ptlist, //17.07.13from - if(isstring(#), - tmp=tmp+#+","; - , - tmp=tmp+textformat(#,5)+","; - ); - ); - tmp=substring(tmp,0,length(tmp)-1)+"]"; - tmp=name3+"=Spaceline("+tmp+")"; //17.07.13until -// tmp=name3+"=Spaceline("+textformat(ptlist,5)+")"; //17.05.24 - GLIST=append(GLIST,tmp); - tmp=name2+"=Projpara("+name3+")"; - GLIST=append(GLIST,tmp); - ); - if(Noflg<2, - if(isstring(Ltype), - Ltype=GetLinestyle(text(Noflg)+Ltype,name2); - , - if(Noflg==1,Ltype=0); - ); - GCLIST=append(GCLIST,[name2,Ltype,opcindy]); - if(SUBSCR==1, // 15.02.11 - Subgraph(name3,opcindy); - ); - ); - ptlist; -); - -Spacecurve(nm,funstr,variable):=Spacecurve(nm,funstr,variable,[]); -Spacecurve(nm,funstr,variable,optionorg):=( -//help:Spacecurve("1","[cos(t),sin(t),0.5*t]","t=[0,4*pi]",["Num=200"]); - regional(name2,name3,options,Out,tmp,tmp1,tmp2,vname,tmpfn,str,Rng,Num,Msg, - Ec,Exfun,Dc,opstr,opcindy,Fntmp,Vatmp,Ltype,Noflg,eqL,t1,t2,dt,tt,pa,ke); - if(substring(nm,0,2)=="bz", - name2=replace(nm,"bz","bz2d"); - name3=replace(nm,"bz","bz3d"); - , - name2="sc2d"+nm; - name3="sc3d"+nm; - ); - Eps=10^(-4); - Num=50; - Ec=[]; - Exfun=""; - Dc=1000; - options=select(optionorg,length(#)>0); // 160415 - tmp=Divoptions(options); - Ltype=tmp_1; - Noflg=tmp_2; - eqL=tmp_5; - opstr=tmp_(length(tmp)-1); - opcindy=tmp_(length(tmp)); - Msg=1; - forall(eqL, - tmp=substring(#,0,1); - if(Toupper(tmp)=="M", - tmp=indexof(#,"="); - tmp1=substring(#,tmp,tmp+2); - if(Toupper(tmp1)=="NO", - Msg=0; - ); - ); - tmp=indexof(#,"N="); - if(tmp>0, - tmp1=substring(#,tmp+1,length(#)); - Num=parse(tmp1); - opstr=opstr+",'"+#+"'"; - ); - tmp=indexof(#,"Num="); - if(tmp>0, - tmp1=substring(#,tmp+3,length(#)); - Num=parse(tmp1); - opstr=opstr+",'"+#+"'"; - ); - tmp=indexof(#,"E="); - if(tmp>0, - tmp1=substring(#,tmp+1,length(#)); - if(substring(tmp1,0,1)=="[", - Ec=parse(tmp1); - , - Exfun=tmp1; - ); - opstr=opstr+",'"+#+"'"; - ); - tmp=indexof(#,"Exc="); - if(tmp>0, - tmp1=substring(#,tmp+3,length(#)); - if(substring(tmp1,0,1)=="[", - Ec=parse(tmp1); - , - Exfun=tmp1; - ); - ); - ); - tmp=indexof(variable,"="); - vname=substring(variable,0,tmp-1); - str=substring(variable,tmp,length(variable)); - Rng=parse(str); - t1=Rng_1; t2=Rng_2; - dt=(t2-t1)/Num; // differ from Scilab - tmp="tmpfn("+vname+"):="+funstr+";"; - parse(tmp); - Out=[]; - Ec=append(sort(Ec),10000); - ke=1; - forall(0..Num, - pt=[]; - tt=Rng_1+#*dt; - if(tt-Ec_ke<-Eps, - pa=tmpfn(tt); - ); - if(abs(tt-Ec_ke)<=Eps, - if(length(Out)>0, - if(Out_(length(Out))_1!="inf", - pa=["inf"]; - ); - ); - ); - if(tt-Ec_ke>Eps, - pa=tmpfn(tt); - ke=ke+1; - ); - if(length(pa)>0, - if(pa_1=="inf", - Out=append(Out,pa); - , - if(length(Out)==0, - Out=[pa]; - , - tmp=Out_(length(Out)); - if(tmp_1=="inf", - Out=append(Out,pa); - , - if(|tmp-pa|tmp, - tmp1=concat(tmp1,[Out_(tmp..(#-1))]) - ); - tmp=#+1; - ); - if(tmp0, - Subgraph(name3,opcindy); - ); // 15.08.17 - ); - ); - Out; -); - -Partcrv3d(nm,pA,pB,PkLstr):=Partcrv3d(nm,pA,pB,PkLstr,[]); -Partcrv3d(nm,pA,pB,PkLstr,options):=( -//help:Partcrv3d("1",A,B,"sl3d1"); -//help:Partcrv3d("1",1.3,2.5,"sl3d1"); - regional(p1,p2,q1,q2,dt1,dts,dt3,tmp,tmp1,tmp2); - if(isreal(pA), - p1=pA; q1=pA; - , - if(islist(pA), - tmp=pA; - , - if(ispoint(pA),tmp=text(pA),tmp=pA); - tmp=parse(tmp+"3d"); - ); - p1=parapt(tmp); - q1=[p1_1,tmp_3]+[NE.x-SW.x,0]; - ); - if(isreal(pB), - p2=pB; q2=pB; - , - if(islist(pB), - tmp=pB; - , - if(ispoint(pB),tmp=text(pB),tmp=pB); - tmp=parse(tmp+"3d"); - ); - p2=parapt(tmp); - q2=[p2_1,tmp_3]+[NE.x-SW.x,0]; - ); - tmp=replace(PkLstr,"3d","2d"); - dt1=partcrv("",p1,p2,tmp,["nodata"]); - dts=partcrv("",q1,q2,"sub"+tmp,["nodata"]); - dt=apply(1..length(dt1), - Xyzcoord(dt1_#_1,dt1_#_2,dts_#_2)); - Spaceline("-part3d"+nm,dt,options); -); - -Joincrvs3d(nm,plotstrL):=Joincrvs3d(nm,plotstrL,[]);//16.10.06 -Joincrvs3d(nm,plotstrL,options):=( -//help:Joincrvs3d("1",["bz3da1","bz3da1"]); - regional(PtL,Eps,QdL,Flg,Ni,Qd,pP,pS,pQ,pR,rMN, - opcindy,tmp,tmp1,tmp2,str,name2,name3,Ltype,Noflg); - name2="join2d"+nm; - name3="join3d"+nm; - QdL=[]; - forall(plotstrL,str, - if(isstring(str), - tmp=parse(str); - , - tmp=str; - ); - QdL=append(QdL,tmp); - ); - Eps=10^(-4); - tmp=Divoptions(options); - Ltype=tmp_1; - Noflg=tmp_2; - opcindy=tmp_(length(tmp)); - tmp1=tmp_6; - if(length(tmp1)>0,Eps=tmp1_1); - Flg=0; - if(length(QdL)==0, - PtL=[]; - Flg=1; - ); - if(Flg==0, - PtL=QdL_1; - forall(2..length(QdL),Ni, - Qd=QdL_Ni; - if(length(Qd)>1, - pP=PtL_1; - pS=PtL_(length(PtL)); - pQ=Qd_1; - pR=Qd_(length(Qd)); - rMN=min([norm(pP-pQ),norm(pP-pR), - norm(pS-pQ),norm(pS-pR)]); - if(rMN==norm(pP-pR), - Qd=reverse(Qd); - , - if(rMN==norm(pS-pQ), - PtL=reverse(PtL); - , - if(rMN==norm(pS-pR), - PtL=reverse(PtL); - Qd=reverse(Qd); - ); - ); - ); - ); - if(rMN>Eps, - PtL=concat(PtL,Qd); - , - PtL=concat(PtL,Qd_(2..length(Qd))); - ); - ); - ); - if(Noflg<3, - println("generate Joincurves3d "+name3); - tmp=name3+"="+textformat(PtL,5); - parse(tmp); - tmp1=Projpara(name3,["nodata"]); - tmp=name2+"="+textformat(tmp1,5); - parse(tmp); - tmp=text(plotstrL); - tmp=substring(tmp,1,length(tmp)-1); - tmp=name3+"=Joincrvs("+tmp+")"; - GLIST=append(GLIST,tmp); - tmp=name2+"=Projpara("+name3+")"; - GLIST=append(GLIST,tmp); - ); - if(Noflg<2, - if(isstring(Ltype), - Ltype=GetLinestyle(text(Noflg)+Ltype,name2); - , - if(Noflg==1,Ltype=0); - ); - GCLIST=append(GCLIST,[name2,Ltype,opcindy]); - if(SUBSCR==1, // 15.02.11 - tmp=parse(name2); // 15.08.17 - if(length(tmp)>0, - Subgraph(name3,opcindy); - ); // 15.08.17 - ); - ); - PtL; -); - -Xyzax3data(nm,Xrange,Yrange,Zrange):= - Xyzax3data(nm,Xrange,Yrange,Zrange,[]); -Xyzax3data(nm,Xrange,Yrange,Zrange,options):=( -//help:Xyzax3data("","x=[-5,5]","y=[-5,5]","z=[-5,5]"); -//help:Xyzax3data(Options2=["a1","Osw"]); - regional(name2,name3,Out,tmp,tmp1,tmp2,eqL,reL,strL, - opstr,opcindy,Ltype,Noflg,Axname,Arrow,Origin); - name2="ax2d"+nm; - name3="ax3d"+nm; - tmp=Divoptions(options); - Ltype=tmp_1; - Noflg=tmp_2; - eqL=tmp_5; - reL=tmp_6; - strL=tmp_7; - opcindy=tmp_(length(tmp)); - Axname=1; - Arrow=0; // 16.08.14 - Origin=""; // 16.08.14 - if(length(reL)>0, - Axname=reL_1; - ); - forall(strL, // 16.08.14from - tmp1=Toupper(substring(#,0,1)); - if(tmp1=="A", - tmp=substring(#,1,length(#)); - if(length(tmp)>0, - Arrow=parse(tmp); - , - Arrow=1; - ); - ); - if(tmp1=="O", - tmp=indexof(#,","); - if(tmp>0, - Origin=substring(#,tmp,length(#)); - , - tmp=substring(#,1,length(#)); - if(length(tmp)>0, - Origin=tmp; - , - Origin="sw"; - ); - ); - ); - ); // 16.08.14until - tmp1=indexof(Xrange,"="); - tmp=parse(substring(Xrange,tmp1,length(Xrange))); - Px=[tmp_1,0,0]; Qx=[tmp_2,0,0]; - tmp1=indexof(Yrange,"="); - tmp=parse(substring(Yrange,tmp1,length(Yrange))); - Py=[0,tmp_1,0]; Qy=[0,tmp_2,0]; - tmp1=indexof(Zrange,"="); - tmp=parse(substring(Zrange,tmp1,length(Zrange))); - Pz=[0,0,tmp_1]; Qz=[0,0,tmp_2]; - Out=[[Px,Qx],[Py,Qy],[Pz,Qz]]; - if(Axname>0, - Xyzaxparaname(Xrange,Yrange,Zrange,[Axname]); - ); - if(Noflg<3, - println("generate axes "+name3); - tmp=name3+"="+textformat(Out,5); - parse(tmp); - tmp1=Projpara([name3],["nodata"]); - tmp=name2+"="+textformat(tmp1,5); - parse(tmp); - tmp=name3+"=Xyzax3data("+ - Dq+Xrange+Dq+","+Dq+Yrange+Dq+","+Dq+Zrange+Dq+")"; - GLIST=append(GLIST,tmp); - tmp=name2+"=Projpara("+name3+")"; - GLIST=append(GLIST,tmp); - ); - if(Noflg<2, - if(isstring(Ltype), - Ltype=GetLinestyle(text(Noflg)+Ltype,name2); - , - if(Noflg==1,Ltype=0); - ); - GCLIST=append(GCLIST,[name2,Ltype,opcindy]); - if(Noflg<1, // 16.08.14from - if(Arrow>0, - tmp1=Parapt(Px); tmp2=Parapt(Qx); - Arrowhead(tmp2,tmp2-tmp1,[Arrow]); - tmp1=Parapt(Py); tmp2=Parapt(Qy); - Arrowhead(tmp2,tmp2-tmp1,[Arrow]); - tmp1=Parapt(Pz); tmp2=Parapt(Qz); - Arrowhead(tmp2,tmp2-tmp1,[Arrow]); - ); - if(length(Origin)>0, - Letter([Parapt([0,0,0]),Origin,"O"]); - ); - ); // 16.08.14until - if(SUBSCR==1, // 15.02.11 - Subgraph(name3,opcindy); - ); - ); - Out; -); - -Xyzaxparaname(Xrange,Yrange,Zrange):= - Xyzaxparaname(Xrange,Yrange,Zrange,[]); -Xyzaxparaname(Xrange,Yrange,Zrange,options):=( - regional(tmp,tmp1,tmp2,Eps,Dr,Noflg,Xname,Yname,Zname, - px,qx,py,qy,pz,qz,ph,qh,rr,ch); - Eps=10.0^(-6); - Dr=0.19*1000/2.54/MilliIn; - Noflg=0; - forall(options, - if(isreal(#),Dr=Dr*#); - ); - tmp=indexof(Xrange,"="); - Xname=substring(Xrange,0,tmp-1); - tmp=parse(substring(Xrange,tmp,length(Xrange))); - px=[tmp_1,0,0]; qx=[tmp_2,0,0]; - tmp=indexof(Yrange,"="); - Yname=substring(Yrange,0,tmp-1); - tmp=parse(substring(Yrange,tmp,length(Yrange))); - py=[0,tmp_1,0]; qy=[0,tmp_2,0]; - tmp=indexof(Zrange,"="); - Zname=substring(Zrange,0,tmp-1); - tmp=parse(substring(Zrange,tmp,length(Zrange))); - pz=[0,0,tmp_1]; qz=[0,0,tmp_2]; - ph=Parapt(px); qh=Parapt(qx); rr=|ph-qh|; - if(rr>Eps, - ch=qh+Dr/rr*(qh-ph); - Expr(ch,"c",Xname); - ); - ph=Parapt(py); qh=Parapt(qy); rr=|ph-qh|; - if(rr>Eps, - ch=qh+Dr/rr*(qh-ph); - Expr(ch,"c",Yname); - ); - ph=Parapt(pz); qh=Parapt(qz); rr=|ph-qh|; - if(rr>Eps, - ch=qh+Dr/rr*(qh-ph); - Expr(ch,"c",Zname); - ); -); - -Datalist3d():=( -//help:Datalist3d(); - regional(out,tmp,tmp2,tmp3); - tmp=apply(GCLIST,#_1); - tmp=select(tmp,indexof(#,"2d")>0); - tmp2=select(tmp,indexof(#,"sub")==0); - tmp3=apply(tmp2,replace(#,"2d","3d")); - out=tmp3; -); - -Datalist2d():=( -//help:Datalist2d(); - regional(out,tmp,tmp2,tmp3); - tmp=apply(GCLIST,#_1); - tmp=select(tmp,indexof(#,"2d")>0); - tmp2=select(tmp,indexof(#,"sub")==0); -// tmp3=apply(tmp2,replace(#,"2d","3d")); - out=tmp2; -); - -Embed(nm,Pd2str,funstr,varstr):= - Embed(nm,Pd2str,funstr,varstr,[]); -Embed(nm,Pd2str,funstr,varstr,options):=( -//help:Embed("1",["gr1"],"A3d+x*(B3d-A3d)+y*(C3d-A3d)","[x,y]"); - regional(name2,name3,Pd2L,Pd2,tmp,tmp1,xstr,ystr, - Ltype,Noflg,opstr,opcindy,Out); - name2="em2d"+nm; - name3="em3d"+nm; - if(!islist(Pd2str),Pd2L=[Pd2str],Pd2L=Pd2str); // 15.03.06 - tmp1=[]; // 15.10.31 - forall(Pd2L, - if(isstring(#),tmp=parse(#),tmp=#); - if(MeasureDepth(tmp)==2, - tmp1=concat(tmp1,tmp); - ); - if(MeasureDepth(tmp)==1, - tmp1=append(tmp1,tmp); - ); - ); - Pd2L=tmp1; - tmp=substring(varstr,0,1); - if(tmp=="[" % tmp=="(", - tmp1=substring(varstr,1,length(varstr)-1); - , - tmp1=varstr; - ); - tmp=indexof(tmp1,","); - xstr=substring(tmp1,0,tmp-1); - ystr=substring(tmp1,tmp,length(tmp1)); - tmp=Divoptions(options); - Ltype=tmp_1; - Noflg=tmp_2; - opcindy=tmp_(length(tmp)); - Out=[]; - forall(Pd2L,Pd2, - tmp1=[]; - forall(Pd2, - tmp=Assign(funstr,xstr,"("+textformat(#_1,5)+")"); - tmp=Assign(tmp,ystr,"("+textformat(#_2,5)+")"); - tmp=parse(tmp); - tmp1=append(tmp1,tmp); - ); - Out=append(Out,tmp1); - ); - if(length(Out)==1, - Out=Out_1; - ); - if(Noflg<3, - println("generate Embed "+name3); - if(length(Out)>0, - tmp=name3+"="+textformat(Out,5); - parse(tmp); - tmp1=Projpara(name3,["nodata"]); - tmp=name2+"="+textformat(tmp1,5); - parse(tmp); - ); - if(!islist(Pd2str), - tmp=Pd2str; - , - tmp=text(Pd2str); - tmp="list("+substring(tmp,1,length(tmp)-1)+")"; - ); - tmp=name3+"=Embed("+tmp+",'"+funstr+"','"+varstr+"'"+")"; - GLIST=append(GLIST,tmp); - tmp=name2+"=Projpara("+name3+")"; - GLIST=append(GLIST,tmp); - ); - if(Noflg<2, - if(isstring(Ltype), - Ltype=GetLinestyle(text(Noflg)+Ltype,name2); - , - if(Noflg==1,Ltype=0); - ); - if(length(Out)>0, - GCLIST=append(GCLIST,[name2,Ltype,opcindy]); - if(SUBSCR==1, // 15.02.11 - Subgraph(name3,opcindy); - ); - ); - ); - Out; -); - -Rotatept3d(point,w1,w2):=Rotate3pt(point,w1,w2); -Rotatept3d(point,w1,w2,center):=Rotate3pt(point,w1,w2,center); -//help:Rotatept3d(pt3d,[0,0,1],pi/2); -//help:Rotatept3d(pt3d,[0,0,1],pi/2,[1,1,1]); -Rotate3pt(point,w1,w2):=Rotate3pt(point,w1,w2,[0,0,0]); -Rotate3pt(point,w1,w2,center):=( -//help:Rotate3pt(pt3d,[0,0,1],pi/2); -//help:Rotate3pt(pt3d,[0,0,1],pi/2,[1,1,1]); - regional(Eps,ct,st,v3,v1,v2,Ans,ns,PtL,num, - pt,tmp,tmp1,tmp2,Retflg,x,y,z,xx,yy,zz,flg); - Eps=10^(-4); - Retflg=0; - if(length(w2)==1, - ct=cos(w2); - st=sin(w2); - v3=1/|w1|*w1; - if(v3_1==0, - tmp=[1,0,0]; - , - tmp=[0,1,0]; - ); - w1=[tmp_2*v3_3-tmp_3*v3_2, - tmp_3*v3_1-tmp_1*v3_3, - tmp_1*v3_2-tmp_2*v3_1]; - v1=1/|w1|*w1; - v2=[v3_2*v1_3-v3_3*v1_2, - v3_3*v1_1-v3_1*v1_3, - v3_1*v1_2-v3_2*v1_1]; - , - tmp=[w1_2*w2_3-w1_3*w2_2, - w1_3*w2_1-w1_1*w2_3, - w1_1*w2_2-w1_2*w2_1]; - if(|tmp|0, - PtL=point; - , - PtL=[point]; - ); - Ans=[]; - flg=0; - forall(1..length(PtL),num, - pt=PtL_num; - if(pt_1=="inf", - Ans=append(Ans,["inf"]); - flg=1; - ); - if(flg==0, - x=pt_1-center_1; y=pt_2-center_2; z=pt_3-center_3; - xx=((v1_1*ct+v2_1*st)*v1_1+ (-v1_1*st+v2_1*ct)*v2_1+v3_1^2)*x - +((v1_1*ct+v2_1*st)*v1_2+(-v1_1*st+v2_1*ct)*v2_2+v3_1*v3_2)*y - +((v1_1*ct+v2_1*st)*v1_3+(-v1_1*st+v2_1*ct)*v2_3+v3_1*v3_3)*z; - yy=((v1_2*ct+v2_2*st)*v1_1+(-v1_2*st+v2_2*ct)*v2_1+v3_1*v3_2)*x - +((v1_2*ct+v2_2*st)*v1_2+(-v1_2*st+v2_2*ct)*v2_2+v3_2^2)*y - +((v1_2*ct+v2_2*st)*v1_3+(-v1_2*st+v2_2*ct)*v2_3+v3_2*v3_3)*z; - zz=((v1_3*ct+v2_3*st)*v1_1+(-v1_3*st+v2_3*ct)*v2_1+v3_1*v3_3)*x - +((v1_3*ct+v2_3*st)*v1_2+(-v1_3*st+v2_3*ct)*v2_2+v3_2*v3_3)*y - +((v1_3*ct+v2_3*st)*v1_3+(-v1_3*st+v2_3*ct)*v2_3+v3_3^2)*z; - Ans=append(Ans,center+[xx,yy,zz]); - ); - ); - if(length(Ans)==1, - Ans=Ans_1; - ); - ); - Ans; -); - -Rotatedata3d(nm,P3data,w1,w2):=Rotate3data(nm,P3data,w1,w2); -Rotatedata3d(nm,P3data,w1,w2,options):= - Rotate3data(nm,P3data,w1,w2,options); -//help:Rotatedata3d("1",["sl3d1","sc3d2"],[0,0,1],pi/3); -Rotate3data(nm,P3data,w1,w2):=Rotate3data(nm,P3data,w1,w2,[]); -Rotate3data(nm,P3data,w1,w2,options):=( - regional(name3,name2,center,pdata,Pd3,Pd,Out,tmp,tmp1, - Ltype,Noflg,opcindy,opstr); - name3="rot3d"+nm; - name2="rot2d"+nm; - center=[0,0,0]; - tmp=Divoptions(options); - Ltype=tmp_1; - Noflg=tmp_2; - opstr=tmp_(length(tmp)-1); - opcindy=tmp_(length(tmp)); - tmp1=tmp_6; - if(length(tmp1)>0, - center=tmp1_1; - ); - if(islist(P3data) & isstring(P3data_1),Pd3=P3data,Pd3=[P3data]); - Out=[]; - forall(Pd3,Pd, - if(isstring(Pd),Pd=parse(Pd)); - if(MeasureDepth(Pd)==1,Pd=[Pd]); - Ans=[]; - forall(Pd, - tmp=Rotate3pt(#,w1,w2,center); - Ans=append(Ans,tmp); - ); - Out=append(Out,Ans); - ); - Out=Flattenlist(Out); - if(length(Out)==1,Out=Out_1); - if(Noflg<3, - println("generate Rotate3data "+name3); - tmp=name3+"="+textformat(Out,5); - parse(tmp); - tmp1=Projpara(name3,["nodata"]); - tmp=name2+"="+textformat(tmp1,5); - parse(tmp); - tmp=textformat(P3data,5); // 17.12.23 - tmp=RSform(tmp); // 17.12.23 -// tmp=replace(tmp,"[","list("); -// tmp=replace(tmp,"]",")"); - tmp=name3+"=Rotate3data("+tmp+"," - +textformat(w1,5)+","+textformat(w2,5)+opstr+")"; - GLIST=append(GLIST,tmp); - tmp=name2+"=Projpara("+name3+")"; - GLIST=append(GLIST,tmp); - ); - if(Noflg<2, - if(isstring(Ltype), - Ltype=GetLinestyle(text(Noflg)+Ltype,name2); - , - if(Noflg==1,Ltype=0); - ); - GCLIST=append(GCLIST,[name2,Ltype,opcindy]); - if(SUBSCR==1, // 15.02.11 - Subgraph(name3,opcindy); - ); - ); - Out; -); - -Translatept3d(point,w1):=Translate3pt(point,w1); -//help:Translatept3d(pt3d,[1,2,3]); -Translate3pt(point,w1):=( - regional(Eps,Ans,PtL,pt,num,xx,yy,zz,flg); - Eps=10^(-4); - if(MeasureDepth(point)>0, - PtL=point; - , - PtL=[point]; - ); - Ans=[]; - flg=0; - forall(1..length(PtL),num, - pt=PtL_num; - if(pt_1=="inf", - Ans=append(Ans,["inf"]); - flg=1; - ); - if(flg==0, - xx=pt_1+w1_1; yy=pt_2+w1_2; zz=pt_3+w1_3; - Ans=append(Ans,[xx,yy,zz]); - ); - ); - if(length(Ans)==1, - Ans=Ans_1; - ); - Ans; -); - -Translatedata3d(nm,P3data,w1):=Translate3data(nm,P3data,w1); -Translatedata3d(nm,P3data,w1,options):= - Translate3data(nm,P3data,w1,options); -//help:Translatedata3d("1",["sl3d1"],[1,2,3]); -Translate3data(nm,P3data,w1):=Translate3data(nm,P3data,w1,[]); -Translate3data(nm,P3data,w1,options):=( - regional(name3,name2,pdata,Pd3,Pd,Out,tmp,tmp1, - Ltype,Noflg,opcindy); - name3="tra3d"+nm; - name2="tra2d"+nm; - tmp=Divoptions(options); - Ltype=tmp_1; - Noflg=tmp_2; - opcindy=tmp_(length(tmp)); - if(islist(P3data) & isstring(P3data_1),Pd3=P3data,Pd3=[P3data]); - Out=[]; - forall(Pd3,Pd, - if(isstring(Pd),Pd=parse(Pd)); - if(MeasureDepth(Pd)==1,Pd=[Pd]); - Ans=[]; - forall(Pd, - tmp=Translate3pt(#,w1); - Ans=append(Ans,tmp); - ); - Out=append(Out,Ans); - ); - Out=Flattenlist(Out); - if(length(Out)==1,Out=Out_1); - if(Noflg<3, - println("generate Translate3data "+name3); - tmp=name3+"="+textformat(Out,5); - parse(tmp); - tmp1=Projpara(name3,["nodata"]); - tmp=name2+"="+textformat(tmp1,5); - parse(tmp); - tmp=textformat(P3data,5); // 17.12.23 - tmp=RSform(tmp); // 17.12.23 -// tmp=text(P3data); -// tmp=replace(tmp,"[","list("); -// tmp=replace(tmp,"]",")"); - tmp=name3+"=Translate3data("+tmp+","+textformat(w1,5)+")"; - GLIST=append(GLIST,tmp); - tmp=name2+"=Projpara("+name3+")"; - GLIST=append(GLIST,tmp); - ); - if(Noflg<2, - if(isstring(Ltype), - Ltype=GetLinestyle(text(Noflg)+Ltype,name2); - , - if(Noflg==1,Ltype=0); - ); - GCLIST=append(GCLIST,[name2,Ltype,opcindy]); - if(SUBSCR==1, // 15.02.11 - Subgraph(name3,opcindy); - ); - ); - Out; -); - -Reflectpoint3d(point,vecL):=Reflect3point(point,vecL); -Reflectpt3d(point,vecL):=Reflect3pt(point,vecL); -//help:Reflectpoint3d(pt3d,[v1,v2,v3]); -Reflect3point(point,vecL):=Reflect3pt(point,vecL); -Reflect3pt(point,vecL):=( - regional(ans,v1,v2,v3,tmp,tmp1); - if(length(vecL)==1, - v1=vecL_1; - ans=2*v1-point; - ); - if(length(vecL)==2, - v1=vecL_1; - v2=vecL_2; - v3=(v2-v1)/|v2-v1|; - tmp=v1+Dotprod(point-v1,v3)*v3; - ans=2*tmp-point; - ); - if(length(vecL)==3, - v1=vecL_1; - v2=vecL_2; - v3=vecL_3; - tmp=Crossprod(v2-v1,v3-v1); - tmp1=point-Dotprod(tmp,point-v1)/|tmp|^2*tmp; - ans=2*tmp1-point; - ); - ans; -); - -Xyzcoord(X,Y,z):=( -//help:Xyzcoord(A.x,A.y,Az.y); - regional(Eps,x3d,y3d,z3d); - x3d=(-X*sin(PHI)*cos(THETA)-Y*cos(PHI)+z*cos(PHI)*sin(THETA))/cos(THETA); - y3d=(X*cos(PHI)*cos(THETA)-Y*sin(PHI)+z*sin(PHI)*sin(THETA))/cos(THETA); - z3d=z; - [x3d,y3d,z3d]; -); - -PutonCurve3d(name,pdstr):=( -//help:PutonCurve3d("T","sc3d1"); - regional(pt,pd2str,tmp,tmp1,tmp2); - pd2str=replace(pdstr,"3d","2d"); - PutonCurve(name,pd2str); - pt=parse(name+".xy"); - tmp=Nearestpt(pt,pd2str); // 15.03.13 - tmp1=ParamonCurve(tmp_1,tmp_2,pd2str); - tmp="sub"+pd2str; - tmp2=PointonCurve(tmp1,tmp); - pt=append(pt,tmp2_2); - pt=Xyzcoord(pt_1,pt_2,pt_3); // 15.03.13 - tmp=name+"z.xy="+textformat(tmp2,5); - parse(tmp); - VLIST=select(VLIST,#_1!=name+"3d"); - Defvar(name+"3d",pt); -); - -Mkpointlist():=Mkpointlist([]); //16.11.12 -Mkpointlist(options):=( //16.11.12 - regional(Eps,pos,ptL,plist,ilist,plistrest, - inforest,free,pt,pt3,ptz,par,vlistpre, - tmp,tmp1,tmp2,tmp3,tmp4,p1,p2,flg); - Eps=10^(-4); - tmp=Finddef(NE); - free=tmp_1; - pos=[NE.x+1,NE.y]; - tmp=remove(allpoints(),[NE,SW,TH,FI]); - tmp=remove(tmp,options); //16.11.12 - plist=select(tmp, - substring(text(#),length(text(#))-1,length(text(#)))!="z" - ); - if(SUBSCR==0,plist=[]); - ptL=[]; - plistrest=[]; - inforest=[]; - forall(plist,pt, - inspect(pt,"ptsize",3); - inspect(pt,"color",2); - inspect(pt,"textsize",TSIZE); - ptz=text(pt)+"z"; - tmp=Finddef(pt); - if(indexof(tmp_1,free)>0, // free point - tmp=select(VLIST,#_1==text(pt)+"3d"); - if(length(tmp)==0, - tmp=pt.x+NE.x-SW.x; - Putpoint(ptz,[tmp,0],[tmp,parse(ptz+".y")]); - pt3=Xyzcoord(pt.x,pt.y,parse(text(ptz)+".y")); - Defvar(text(pt)+"3d",pt3); - Defvar(text(pt)+"fix",0); - vlistpre=VLIST; //16.08.20 - ); - flg=0; - if(isselected(pt), - if(parse(text(pt)+"fix")!=1, // 15.03.01 - tmp=pt.x+NE.x-SW.x; - Putpoint(ptz,[tmp,0],[tmp,parse(ptz+".y")]); - pt3=Xyzcoord(pt.x,pt.y,parse(text(ptz)+".y")); - VLIST=select(VLIST,#_1!=text(pt)+"3d"); - Defvar(text(pt)+"3d",pt3); - vlistpre=VLIST; //16.08.20 - flg=1; - ); - ); - inspect(parse(ptz),"ptsize",3); - inspect(parse(ptz),"color",3); - inspect(parse(ptz),"textsize",TSIZEZ); - if(isselected(parse(ptz)), - if(parse(ptz+"fix")!=1, // 15.03.01 - tmp=select(vlistpre,#_1==text(pt)+"3d"); //16.08.20 - pt3=tmp_1_2; - pt3_3=parse(ptz+".y"); - pt.xy=Parapt(pt3); - tmp=ptz+".x=pt.x+NE.x-SW.x"; - parse(tmp); - VLIST=select(VLIST,#_1!=text(pt)+"3d"); - Defvar(text(pt)+"3d",pt3); - flg=2; - ); - ); - if(flg==0, - tmp=select(VLIST,#_1==text(pt)+"3d"); - if(length(tmp)>0, //17.10.07 - pt3=tmp_1_2; - pt.xy=Parapt(pt3); - tmp=ptz+".x=pt.x+NE.x-SW.x"; - parse(tmp); - ); //17.10.07 - ); - if(isselected(pt) % isselected(parse(ptz)), - drawtext(pos,text(pt3)); - ); - if(!contains(["p","q"],text(pt)), - ptL=append(ptL,pt); - ); - , - tmp=Findgeoinfo(pt); - tmp1=[parse(tmp_1),parse(tmp_2),parse(tmp_3)]; - plistrest=append(plistrest,pt); - inforest=append(inforest,tmp); - ); - ); - if(length(plistrest)>0, - tmp=Sortpointlist([plistrest,inforest]); - plist=tmp_1; - ilist=tmp_2; - forall(1..length(plist), - pt=plist_#; - ptz=text(pt)+"z"; - tmp=ilist_#; - p1=parse(tmp_3); - p2=p1+parse(tmp_2)-parse(tmp_1); - tmp1=p2-p1; - tmp2=pt-p1; - if(abs(tmp1_1)>abs(tmp1_2), - par=tmp2_1/tmp1_1; - , - par=tmp2_2/tmp1_2; - ); - tmp=ilist_#; - tmp1=parse(tmp_1+"3d"); - tmp2=parse(tmp_2+"3d"); - tmp3=parse(tmp_3+"3d"); - tmp1=(1-par)*tmp3+par*(tmp3+tmp2-tmp1); - Putpoint(ptz,[pt.x+NE.x-SW.x,tmp1_3]); - inspect(parse(ptz),"ptsize",3); - inspect(parse(ptz),"color",3); - inspect(parse(ptz),"textsize",TSIZEZ); - pt3=Xyzcoord(pt.x,pt.y,parse(text(ptz)+".y")); - VLIST=select(VLIST,#_1!=tmp1+"3d"); - Defvar(text(pt)+"3d",pt3); - vlistpre=VLIST; //16.08.20 - if(isselected(pt) % isselected(parse(ptz)), - drawtext(pos,text(pt3)); - ); - if(!contains(["p","q"],text(pt)), - ptL=append(ptL,pt); - ); - ); - ); - ptL; -); - -Mkseg3d():=Mkseg3d([]); -Mkseg3d(options):=( - regional(seg,nmseg,def,ptA,ptB,segL,opstr,opcindy, - name,strg,Ltype,Noflg,tht,tmp,tmp1,tmp2,tmp3); - name="geoseg3d"; - strg=name+"=list("; - tmp=Divoptions(options); - Ltype=tmp_1; - Noflg=tmp_2; - opcindy=tmp_(length(tmp)); - segL=[]; - forall(allsegments(),seg, - inspect(seg,"labeled",false); - tmp=Finddef(seg); - def=tmp_1; - ptA=tmp_2; - ptB=tmp_3; - if(ispoint(parse(ptA)) & ispoint(parse(ptB)), - tmp1=select(VLIST,indexof(#_1,ptA+"3d")>0); - tmp2=select(VLIST,indexof(#_1,ptB+"3d")>0); - if(length(tmp1)>0 & length(tmp2)>0, - tmp1="["+ptA+"3d,"+ptB+"3d]"; - nmseg=ptA+ptB; -// Spaceline(nmseg,parse(tmp1),append(options,"Msg=nodisp")); //15.06.15 - Spaceline("-"+nmseg+"3d",[ptA+"3d",ptB+"3d"], // 16.04.07 - append(options,"Msg=nodisp")); //15.06.15 - segL=append(segL,nmseg+"3d");// 16.04.07 - strg=strg+nmseg+"3d,";// 16.04.07 - ); - ); - ); - println("generate totally "+name); - if(length(segL)>0, // 15.03.06 - strg=substring(strg,0,length(strg)-1)+")"; - if(Noflg<3, - GLIST=append(GLIST,strg); - ); - tmp1=apply(segL,Dq+#+Dq); //15.03.02 - tmp=name+"="+text(tmp1); - parse(tmp); - ); - segL; -); - -Ptseg3data():=Ptseg3data([]); -//help:Ptseg3data(); -//help:Ptseg3data([A,B]); -Ptseg3data(options):=( - regional(pt,pt3,plist,tmp,tmp1,tmp2); - if(isselected(TH) % isselected(FI), - tmp=remove(allpoints(),[NE,SW,TH,FI]); - tmp=remove(tmp,options); //16.11.12 - tmp=apply(tmp,text(#)); - plist=select(tmp,substring(#,length(#)-1,length(#))!="z"); - forall(plist,pt, - tmp1=text(pt); - tmp=select(VLIST,#_1==tmp1+"3d"); //17.10.07 - if(length(tmp)>0, - pt3=tmp_1_2; - tmp=tmp1+".xy=Parapt("+pt3+")_[1,2];"; - parse(tmp); - if(SUBSCR==1, - tmp=tmp1+"z"+".x=NE.x-SW.x+"+tmp1+".x"; - parse(tmp); - ); - ); - ); - , - Mkpointlist(options); // 16.12.18 - ); - forall(alllines(), - #.color=[0.5,0.5,1]; - ); - SEG3dlist=Mkseg3d(options); - SEG3dlist; -); - -Putonseg3d(name,ptL):=Putonseg3d(name,ptL_1,ptL_2,[]); -Putonseg3d(name,Arg1,Arg2):=( - if(islist(Arg1), - Putonseg3d(name,Arg1_1,Arg1_2,Arg2); - , - Putonseg3d(name,Arg1,Arg2,[]); - ); -); -Putonseg3d(name,pt1,pt2,options):=( -//help:Putonseg3d("C",[A,B]); -//help:Putonseg3d("C",A,B); - regional(par,pn1,pn2,tmp,tmp1,tmp2,tmp3); - par=0.5; - tmp=divoptions(options); - if(length(tmp_6)>0, - par=tmp_6_1; - ); - Putonseg(name,pt1,pt2,[par]); - inspect(parse(name),"ptsize",3); - inspect(parse(name),"color",2); - inspect(parse(name),"textsize",TSIZEZ); - Putpoint(name+"z",[parse(name+".x"),0]); - inspect(parse(name+"z"),"ptsize",3); - inspect(parse(name+"z"),"color",3); - inspect(parse(name+"z"),"textsize",TSIZEZ); - pn1=text(pt1); - pn2=text(pt2); - tmp1=replace("PTCz.y=PTAz.y+|PTC-PTA|/|PTB-PTA|*(PTBz.y-PTAz.y)","PTC",name); - tmp1=replace(tmp1,"PTA",pn1); - tmp1=replace(tmp1,"PTB",pn2); - tmp2=replace("PTCz.x=PTAz.x+|PTC-PTA|/|PTB-PTA|*(PTBz.x-PTAz.x)","PTC",name); - tmp2=replace(tmp2,"PTA",pn1); - tmp2=replace(tmp2,"PTB",pn2); - parse(tmp2); - parse(tmp1); - tmp1=parse(name+".x"); - tmp2=parse(name+".y"); - tmp3=parse(name+"z.y"); - tmp=Xyzcoord(tmp1,tmp2,tmp3); - Defvar(name+"3d",tmp); -); - -Putpoint3d(ptslist):=Putpoint3d(ptslist,"",0); -Putpoint3d(Arg1,Arg2):=( // 16.03.02 from - if(islist(Arg1), - Putpoint3d(Arg1,Arg2,0); - , - Putpoint3d(Arg1,Arg2,"fix"); - ); -); -Putpoint3d(Arg1,Arg2,Arg3):=( -//help:Putpoint3d(["A",[2,1,3]]); -//help:Putpoint3d(["A",[2,1,3]],"fix"); -//help:Putpoint3d("A",[2,1,3]); -//help:Putpoint3d(["A",[2,1,3]],["fix"]); - regional(nn,kk,pt,pt3,ptslist,fixstr,tmp,tmp1,tmp2,tmp3); //16.08.19 - if(isstring(Arg1), - ptslist=[Arg1,Arg2]; - fixstr=Arg3; - , - ptslist=Arg1; - fixstr=Arg2; - ); - if(islist(fixstr),fixstr=fixstr_1);// 16.03.02 until - nn=length(ptslist)/2; - forall(1..nn,kk, // 16.08.19from - tmp1=ptslist_(2*kk-1); - pt3=ptslist_(2*kk); // 16.08.19until - VLIST=select(VLIST,#_1!=tmp1+"3d"); - tmp2=parse(tmp1); - if(ispoint(tmp2), // 16.05.26from - if(islist(fixstr),tmp=fixstr_1,tmp=fixstr); - tmp=Toupper(tmp); - if(tmp!="FIX", - tmp=Xyzcoord(tmp2.x,tmp2.y,parse(tmp1+"z").y); - , - tmp=pt3; - ); - Defvar(tmp1+"3d",tmp); - , - Defvar(tmp1+"3d",pt3); - ); // 16.05.26until - Defvar(tmp1+"fix",0); - pt=Parapt(pt3); - Putpoint(tmp1,pt,parse(tmp1+".xy")); - inspect(parse(tmp1),"ptsize",3); - inspect(parse(tmp1),"color",2); - inspect(parse(tmp1),"textsize",TSIZE); - if(SUBSCR==1, - tmp2=tmp1+"z"; - tmp=[pt.x+NE.x-SW.x,pt3_3]; - tmp1="[NE.x-SW.x+"+tmp1+".x,"+tmp2+"y]"; - Putpoint(tmp2,tmp,parse(tmp1)); - inspect(parse(tmp2),"ptsize",3); - inspect(parse(tmp2),"color",3); - inspect(parse(tmp2),"textsize",TSIZEZ); - ); - ); - if(islist(fixstr),tmp=fixstr_1,tmp=fixstr); - if(tmp=="fix" % tmp=="Fix", - Fixpoint3d(ptslist); - ); -); - -Fixpoint3d(ptlist):=( -// help:Fixpoint3d(["O",[0,0,0],"X",[1,0,0]]); - regional(name,pt3,pt2,tmp,tmp1,tmp2); - forall(1..(length(ptlist)/2), - name=ptlist_(2*#-1); - Defvar(name+"fix",1); - pt3=ptlist_(2*#); - pt2=Parapt(pt3); - tmp1=textformat(pt2_1,5); - tmp2=textformat(pt2_2,5); - tmp=name+".xy=["+tmp1+","+tmp2+"]"; - parse(tmp); - tmp1=name+".x+NE.x-SW.x"; - tmp2=textformat(pt3_3,5); - tmp=name+"z.xy=["+tmp1+","+tmp2+"];"; - parse(tmp); - ); -); - -Perppt(name,ptstr,pLstr):=Putperp(name,ptstr,pLstr,"draw"); -Perppt(name,ptstr,pLstr,option):=Putperp(name,ptstr,pLstr,option); -Putperp(name,ptstr,pLstr):=Putperp(name,ptstr,pLstr,"put"); -Putperp(name,ptstr,pLstr,option):=( -//help:Perppt("N","O","A-B-C"); -//help:Perppt("N","O","A-B-C","put"); -//help:Perppt("N","O","A-B","none"); - regional(out,Eps,N3d,sgstr,pP,pA,pB,pC,tmp,tmp1,flgpL); - Eps=10^(-4); - pP=parse(ptstr+"3d"); - tmp=indexof(pLstr,"-"); - pA=parse(substring(pLstr,0,tmp-1)+"3d"); - tmp1=substring(pLstr,tmp,length(pLstr)); - tmp=indexof(tmp1,"-"); - if(tmp>0, - pB=parse(substring(tmp1,0,tmp-1)+"3d"); - pC=parse(substring(tmp1,tmp,length(tmp1))+"3d"); - flgpL=1; - , - pB=parse(tmp1+"3d"); - flgpL=0; - ); - if(flgpL==1, - tmp=Crossprod(pB-pA,pC-pA); - if(abs(tmp)0, // 15.05.28 - pP=parse(substring(sgstr,0,tmp-1)+"3d"); - pQ=parse(substring(sgstr,tmp,length(sgstr))+"3d"); - , - tmp1=parse(sgstr); - pP=tmp1_1; - pQ=tmp1_2; - ); - ); - if(!isstring(pLstr), // 16.02.02 - pA=pLstr_1; - pB=pLstr_2; - pC=pLstr_3; - , - tmp=indexof(pLstr,"-"); - pA=parse(substring(pLstr,0,tmp-1)+"3d"); - tmp1=substring(pLstr,tmp,length(pLstr)); - tmp=indexof(tmp1,"-"); - pB=parse(substring(tmp1,0,tmp-1)+"3d"); - pC=parse(substring(tmp1,tmp,length(tmp1))+"3d"); - ); - nvec=Crossprod(pB-pA,pC-pA); - if(abs(Dotprod(nvec,pQ-pP))>Eps, - pH=(Reflect3point(pP,[pA,pB,pC])+pP)/2; - pK=(Reflect3point(pQ,[pA,pB,pC])+pQ)/2; - tmp1=pP-pH; - tmp2=tmp1+pK-pQ; - tmp=select(tmp2,abs(#)==max(apply(tmp2,abs(#)))); - tmp=select(1..3,tmp2_#==tmp_1); - tmp=tmp_1; - tseg=tmp1_tmp/tmp2_tmp; - pR=(1-tseg)*pH+tseg*pK; - tmp=substring(opstr,0,1); - if(Toupper(tmp)=="P", - Putpoint3d([name,pR]); - Fixpoint3d([name,pR]); - ); - if(Toupper(tmp)=="D", - Drawpoint3d(pR); - ); - tmp=Dotprod(pB-pA,pC-pA); - tmp1=Dotprod(pB-pA,pB-pA); - tmp2=Dotprod(pC-pA,pC-pA); - tmp3=Dotprod(pR-pA,pB-pA); - tmp4=Dotprod(pR-pA,pC-pA); - ss=-(tmp*tmp4-tmp3*tmp2)/(tmp1*tmp2-tmp^2); - tt=(tmp1*tmp4-tmp*tmp3)/(tmp1*tmp2-tmp^2); - out=[pR,tseg,ss,tt]; - , - if(Toupper(substring(opstr,0,1))!="N", - println(" "+sgstr+","+pLstr+" are parallel"); - ); - out=[]; - ); - out; -); - -Bezier3d(nm,ptctrlist):=Bezier3(nm,ptctrlist); -Bezier3d(nm,Ag1,Ag2):=Bezier3(nm,Ag1,Ag2); -Bezier3d(nm,ptlistorg,ctrlistorg,options):= - Bezier3(nm,ptlistorg,ctrlistorg,options); -//help:Bezier3d("1",["A","B","C"],["D","E","F","G"]); -Bezier3(nm,ptctrlist):=Bezier3(nm,ptctrlist_1,ptctrlist_2,[]); -Bezier3(nm,Ag1,Ag2):=( - if(MeasureDepth(Ag1)==0, - Bezier3(nm,Ag1,Ag2,[]); - , - if(MeasureDepth(Ag1)>1, - Bezier3(nm,Ag1_1,Ag1_2,Ag2); - , - if(isstring(Ag_1_1), - Bezier3(nm,Ag1,Ag2,[]); - , - Bezier3(nm,Ag1_1,Ag1_2,Ag2); - ); - ); - ); -); -Bezier3(nm,ptlistorg,ctrlistorg,options):=( //17.10.08 greatly changed - regional(name,name3,name2,tmp,tmp1,tmp2, - Ltype,Noflg,opstr,eqL,Num,ii,knt,ctr,out); - name="bz"+nm; - name3="bz3d"+nm; - name2="bz2d"+nm; - tmp=Divoptions(options); - Ltype=tmp_1; - Noflg=tmp_2; - eqL=tmp_5; - opcindy=tmp_(length(tmp)); - Num=20; - forall(eqL, - tmp=indexof(#,"="); - tmp1=Toupper(substring(#,0,1)); - tmp2=substring(#,tmp,length(#)); - if(tmp1=="N", - Num=parse(tmp2); - ); - ); - ptlist=ptlistorg; - if(isstring(ptlistorg_1),ptlist=apply(ptlistorg,parse(#+"3d"))); - ctrlist=ctrlistorg; - if(isstring(ctrlistorg_1),ctrlist=apply(ctrlistorg,parse(#+"3d"))); - out=[]; - forall(1..(length(ptlist)-1),ii, - knt=[ptlist_ii,ptlist_(ii+1)]; - ctr=[ctrlist_(2*ii-1),ctrlist_(2*ii)]; - tmp="Bezierpt(T,ptlist,ctrlist)";//17.01.04 - tmp=Assign(tmp,"ptlist",knt); - tmp=Assign(tmp,"ctrlist",ctr); - Spacecurve(name+text(ii),tmp,"T=[0,1]",append(eqL,"nodisp")); - GLIST=GLIST_(1..(length(GLIST)-2)); - out=append(out,name3+text(ii)); - ); - tmp1=[]; - forall(1..length(out), - tmp=parse(out_#); - if(#==1,tmp1=tmp,tmp1=concat(tmp1,tmp_(2..length(tmp)))); - ); - if(Noflg<3, - println("generate Beziercurve "+name3); - tmp=name3+"="+tmp1; - parse(tmp); - tmp1=Projpara(name3,["nodata"]); - tmp=name2+"="+textformat(tmp1,5); - parse(tmp); - ptlist=apply(ptlistorg,#+"3d"); - ptlist=RSform(text(ptlist),1); - ctrlist=[]; - forall(1..(length(ctrlistorg)/2), - tmp=[ctrlistorg_(2*#-1),ctrlistorg_(2*#)]; - tmp=apply(tmp,#+"3d"); - ctrlist=append(ctrlist,tmp); - ); - ctrlist=RSform(text(ctrlist),0); - tmp=name3+"=Bezier("+ptlist+","+ctrlist+","+Dq+"Num="+text(Num)+Dq+")"; - GLIST=append(GLIST,tmp); - tmp=name2+"=Projpara("+name3+")"; - GLIST=append(GLIST,tmp); - ); - if(Noflg<2, - if(isstring(Ltype), - Ltype=GetLinestyle(text(Noflg)+Ltype,name2); - , - if(Noflg==1,Ltype=0); - ); - GCLIST=append(GCLIST,[name2,Ltype,opcindy]); - if(SUBSCR==1, // 15.02.11 - Subgraph(name3,opcindy); - ); - ); - out; -); - -Putbezier3data(name,pt3Lorg):=Putbezier3data(name,pt3Lorg,[]); -Putbezier3data(name,pt3Lorg,options):=( // 17.10.08 greatly changed - regional(pt3L,psize,Deg,nn,numstr, - tmp,tmp1,tmp2,tmp3,pts,ctrpts); - tmp=Divoptions(options); - Deg=3; - tmp1=tmp_5; - forall(tmp1, - if(substring(#,0,1)=="D", - tmp=indexof(#,"="); - Deg=parse(substring(#,tmp,length(#))); - ); - ); - pt3L=pt3Lorg; - if(isstring(pt3L_1),pt3L=apply(pt3L,parse(#+"3d"))); - ctrpts=[]; - forall(2..length(pt3L),nn, // 16.08.19from - numstr=text(nn-1); // 16.08.19 - if(Deg==3, - tmp1=name+numstr+"p"; - tmp2=(2*pt3L_(nn-1)+pt3L_(nn))/3; - VLIST=select(VLIST,#_1!=tmp1+"3d"); // 16.08.19from - Putpoint3d([tmp1,tmp2]); - ctrpts=append(ctrpts,tmp1); - tmp1=name+numstr+"q"; - tmp3=(pt3L_(nn-1)+2*pt3L_nn)/3; - VLIST=select(VLIST,#_1!=tmp1+"3d"); - Putpoint3d([tmp1,tmp3]); - ctrpts=append(ctrpts,tmp1); - , - tmp1=name+numstr+"p"; - tmp2=(pt3L_(nn-1)+pt3L_nn)/2; - VLIST=select(VLIST,#_1!=tmp1+"3d"); // 16.08.19until - Putpoint3d([tmp1,tmp2]); - ctrpts=append(ctrpts,tmp1); - ); - ); - ctrpts; -); - -Mkbezierptcrv3d(ptdata):=Mkbezierptcrv3(ptdata); -Mkbezierptcrv3d(ptdata,options):=Mkbezierptcrv3(ptdata,options); -//help:Mkbezierptcrv3d(["A","B","C","D"]); -Mkbezierptcrv3(ptdata):=Mkbezierptcrv3(ptdata,[]); -Mkbezierptcrv3(ptdata,options):=( //17.10.08 greatly changed - regional(Eps,name,bz,pt,p1,p2,p13d,p23d,pt3, - Out,tt,pos,tmp,tmp1,tmp2); - Eps=10^(-4); - pos=[NE.x+1,NE.y]; - Out=[]; - tmp=floor((BezierNumber3-1)/26);// 15.02.23 from - if(tmp==0,tmp="",tmp=text(tmp)); - tmp2=mod(BezierNumber3,26); - if(tmp2==0,tmp2=26); - name=unicode(text(96+tmp2),base->10)+tmp; - tmp2=Putbezier3data(name,ptdata,options); - Bezier3(name,ptdata,tmp2,options); - Out=append(Out,tmp2); - BezierNumber3=BezierNumber3+1; - Out; -); - -/////////////////////////////////////////// - -Readobj(filename):=Readobj(filename,[]); -Readobj(filename,options):=( -//help:Readobj("file.obj",["size=-3"]); - regional(eqL,size,vL,fnL,tmp,tmp1,tmp2); - size=1; - tmp=Divoptions(options); - eqL=tmp_5; - forall(eqL, - if(Toupper(substring(#,0,1))=="S", - tmp=indexof(#,"="); - size=parse(substring(#,tmp,length(#))); - ); - ); - tmp=load(filename); - tmp=tokenize(tmp,"v"); - tmp1=tmp_(2..(length(tmp)-1)); - tmp2=tmp_(length(tmp)); - tmp2=tokenize(tmp2,"f"); - tmp1=append(tmp1,tmp2_1); - tmp1=apply(tmp1,Removespace(#)); - tmp1=apply(tmp1,replace(#," "," ")); - tmp1=apply(tmp1,"["+replace(#," ",",")+"]"); - vL=apply(tmp1,size*parse(#)); - tmp2=tmp2_(2..(length(tmp2))); - tmp2=apply(tmp2,Removespace(#)); - tmp2=apply(tmp2,replace(#," "," ")); - tmp2=apply(tmp2,"["+replace(#," ",",")+"]"); - fnL=apply(tmp2,parse(#)); - [vL,fnL]; -); - -///////////////////////////////////////// - -Readobj(filename,options):=( -//help:Readobj("file.obj",["size=-3"]); - regional(eqL,size,vL,fnL,dtL,numer,flg,flg2, - tmp,tmp1,tmp2,tmp3,tmp4,tmp5); - size=1; - tmp=Divoptions(options); - eqL=tmp_5; - forall(eqL, - if(Toupper(substring(#,0,1))=="S", - tmp=indexof(#,"="); - size=parse(substring(#,tmp,length(#))); - ); - ); - numer="-0123456789"; - tmp=load(filename); - dtL=tokenize(tmp,"v "); - vL=[]; - fnL=[]; - flg=0; - flg2=0; - forall(dtL,dt, - tmp1=Removespace(dt); - if(indexof(numer,substring(tmp1,0,1))>0, - tmp2=""; - tmp=indexof(tmp1,"f"); - if(tmp>0, - tmp2=substring(tmp1,tmp-1,length(tmp1)); - tmp1=substring(tmp1,0,tmp-1); - if(substring(tmp1,length(tmp1)-1,length(tmp1))=="#", - tmp2="#"+tmp2; - tmp1=substring(tmp1,0,length(tmp1)-1); - ); -// tmp=indexof(tmp2,"#"); -// if(tmp>0, -// tmp2=substring(tmp2,0,tmp-1); -// ); - ); - if(flg==1, - tmp1=""; - flg=0; - ); - if(length(tmp1)>0, - tmp=indexof(tmp1,"#"); - if(tmp>0, - tmp1=substring(tmp1,0,tmp-1); - flg=1; - ); - tmp=indexof(tmp1,"vt"); - if(tmp>0, - tmp1=substring(tmp1,0,tmp-1); - ); - tmp1=replace(tmp1," ",","); - tmp1=replace(tmp1," ",","); - tmp1="["+tmp1+"]"; - tmp1=size*parse(tmp1); - vL=append(vL,tmp1); - ); - if(length(tmp2)>0, - tmp2=tokenize(tmp2,"f"); - if(length(tmp2_1)==0, - tmp2=tmp2_(2..length(tmp2)); - // , - // if(tmp2_1=="#", -// tmp2=tmp2_(2..length(tmp2)); -// tmp2_1="#"+tmp2_1; -// ); - ); - forall(1..length(tmp2),tmp3, - tmp=tmp2_tmp3; - if(substring(tmp,length(tmp)-1,length(tmp))=="#", - tmp2_(tmp3+1)="#"+Removespace(tmp2_(tmp3+1)); - tmp2_tmp3=substring(tmp,0,length(tmp)-1); - ); - tmp5=""; - if(length(tmp2_tmp3)>0, - tmp4=tokenize(tmp2_tmp3," "); - forall(tmp4, - if(length(text(#))>0, - if(indexof(text(#),"/")==0, - tmp=text(#); - , - tmp=tokenize(text(#),"/"); - tmp=tmp_1; - ); - if(length(tmp)>0, - tmp5=tmp5+tmp+","; - ); - ); - ); - tmp5=substring(tmp5,0,length(tmp5)-1); - if(length(tmp5)>0, - if(substring(tmp5,0,1)!="#", - tmp5="["+tmp5+"]"; - fnL=append(fnL,parse(tmp5)); - ); - ); - ); - ); - ); - ); - ); - [vL,fnL]; -); - -Concatobj(objL):=Concatobj(objL,[]); -Concatobj(objL,options):=( -//help:Concatobj([polyhed,triangle]); -//help:Concatobj([polyhed,triangle],["Rmf=no"]); -//help:Concatobj([[A,B,C],[A,C,D]]); - regional(obj,vL,fL,vadd,vtx,faces,fnew,face,jj,kk,vctr,eps, - tmp,tmp1,tmp2,tmp3,eqL,rmf); - tmp=divoptions(options); - eqL=tmp_5; - rmf="y"; // 16.08.19 - forall(eqL, - tmp=indexof(#,"="); - tmp1=Toupper(substring(#,0,1)); - tmp2=Toupper(substring(#,tmp,tmp+1)); - if(tmp1=="R", - if(tmp2=="Y",rmf="y"); // 16.08.14 - ); - ); - eps=10^(-4); - vL=[]; - fL=[]; - vctr=0; - forall(objL,obj, - if(isstring(obj), - tmp1=parse(obj); - , - tmp1=obj; - ); - if(length(tmp1)>2, // 16.02.28 - tmp=1..length(tmp1); - tmp1=[tmp1,[tmp]]; - ); - vtx=tmp1_1; // 16.02.11 from - faces=tmp1_2; - fnew=faces; - vctr=0; - vadd=[]; - forall(1..length(vtx),jj, - tmp1=vtx_jj; - tmp=select(1..length(vL),dist3d(vL_#,tmp1)0, - tmp1=tmp_1; - fnew_kk_tmp1=tmp2; - ); - ); - ); - vL=concat(vL,vadd); - fL=concat(fL,fnew); // 16.02.11 until - ); - tmp2=apply(1..length(fL),1); - if(rmf=="y", - forall(1..length(fL),jj, - tmp=fL_jj; - tmp1=select((jj+1)..length(fL),fL_#==tmp); - forall(tmp1,tmp2_#=0); - ); - tmp=select(1..length(tmp2),tmp2_#==1); - fL=fL_tmp; - ); - [vL,fL]; -); - -if(1==0, - -Mkobjfile(fname,objL):=Mkobjfile(Dirwork,fname,objL); -Mkobjfile(path,fnameorg,objL):=( -//help:Mkobj(filename,objlist); - regional(fname,obj,vtx,face,tmp,tmp1,tmp2); - fname=fnameorg; - if(indexof(fname,".")==0,fname=fname+".obj"); - vtx=objL_1; - face=objL_2; - setdirectory(path); - SCEOUTPUT = openfile(fname); - forall(vtx,tmp1, - tmp2=tmp1; - if(ispoint(tmp1), - tmp2=parse(text(tmp1)+"3d"); - ); - tmp="v "+format(tmp2_1,5)+" "+format(tmp2_2,5)+" "+format(tmp2_3,5); - println(SCEOUTPUT,tmp); - ); - forall(face,tmp1, - tmp="f"; - forall(tmp1, - tmp=tmp+" "+text(#); - ); - println(SCEOUTPUT,tmp); - ); - closefile(SCEOUTPUT); - setdirectory(Dirwork); -); - -); - -VertexandEdge(nm,vfnL):=VertexEdgeFace(nm,vfnL,[]); -VertexandEdge(nm,vfnL,options):=VertexEdgeFace(nm,vfnL,options); -VertexEdgeFace(nm,vfnL):=VertexEdgeFace(nm,vfnL,[]); // 16.02.10 -//help:VertexEdgeFace("1",[vL,fnL]); -//help:VertexEdgeFace("1",["A","B","C"]); -//help:VertexEdgeFace(options=["Pt=fix","Edg=geo"]); -VertexEdgeFace(nm,vfnLorg,optionorg):=( - regional(name3,namev,namee,namef,vfnL,options,Noflg,eqL,strL, - vL,eL,enL,face,edge,vtx,vname,fixflg,edgflg,tmp,tmp1,tmp2); - name3="phvef"+nm; - namev="phv3d"+nm; - namee="phe3d"+nm; - namef="phf3d"+nm; - options=optionorg; - vfnL=vfnLorg; // 16.06.19from - if(length(vfnL)>2, - vfnL=[vfnL,[1..length(vfnL)]]; - ); - if(length(vfnL)==1, - vfnL=[vfnL_1,[1..length(vfnL_1)]]; - ); // 16.06.19until - tmp=Divoptions(options); - Noflg=tmp_2; - eqL=tmp_5; - strL=tmp_7; - fixflg=1; - edgflg=1; - forall(eqL, - tmp1=Toupper(substring(#,0,1)); - tmp=indexof(#,"="); - tmp2=Toupper(substring(#,tmp,length(#))); - if(tmp1=="P", - if(tmp2=="FREE", fixflg=0); - options=remove(options,[#]); - ); - if(tmp1=="E", - if(substring(tmp2,0,1)=="N", edgflg=0); - options=remove(options,[#]); - ); - ); - forall(strL, - if(Toupper(#)=="FREE", - fixflg=0; - options=remove(options,[#]); - ); - ); - vL=[]; - forall(1..length(vfnL_1), - vtx=vfnL_1_#; // 16.02.10 from - if(isstring(vtx),vtx=parse(vtx)); // 16.06.19 - if(ispoint(vtx), - tmp=parse(text(vtx)+"3d"); - vname=text(vtx); -// tmp=parse(text(vtx)+"3d"); -// tmp="v"+text(#)+"3d="+textformat(tmp,5); -// parse(tmp); - , - vname="v"+text(#); - if(fixflg==1, - Putpoint3d(["v"+text(#),vtx],"fix"); - ); - ); - vL=append(vL,vname); // 16.02.10 until - ); - eL=[]; - forall(vfnL_2,face, - forall(1..length(face), - tmp1=face_#; - if(#