From 138f77fe71e43adc24ecb030d73df81cc5c4eb7e Mon Sep 17 00:00:00 2001 From: Norbert Preining Date: Mon, 4 Sep 2017 09:45:51 +0900 Subject: add ketpic --- texmf-dist/scripts/ketpic/ketlib/ketcindylib3d.cs | 4517 +++++ .../scripts/ketpic/ketlib/ketcindylib3dhelpE.txt | 29 + .../scripts/ketpic/ketlib/ketcindylib3dhelpJ.txt | 45 + .../scripts/ketpic/ketlib/ketcindylib3dlog.txt | 295 + .../scripts/ketpic/ketlib/ketcindylibbasic1.cs | 4874 +++++ .../scripts/ketpic/ketlib/ketcindylibbasic1log.txt | 647 + .../scripts/ketpic/ketlib/ketcindylibbasic2.cs | 5135 +++++ .../scripts/ketpic/ketlib/ketcindylibbasic2log.txt | 293 + .../scripts/ketpic/ketlib/ketcindylibhelpE.txt | 116 + .../scripts/ketpic/ketlib/ketcindylibhelpJ.txt | 140 + texmf-dist/scripts/ketpic/ketlib/ketcindylibmv.cs | 812 + .../scripts/ketpic/ketlib/ketcindylibmvhelpE.txt | 4 + .../scripts/ketpic/ketlib/ketcindylibmvhelpJ.txt | 4 + .../scripts/ketpic/ketlib/ketcindylibmvlog.txt | 66 + texmf-dist/scripts/ketpic/ketlib/ketcindylibout.cs | 5359 ++++++ .../scripts/ketpic/ketlib/ketcindyliboutlog.txt | 325 + .../ketpic/ketlib/ketpic2esciL5/Addcounter.bin | Bin 0 -> 648 bytes .../ketpic/ketlib/ketpic2esciL5/Anglemark.bin | Bin 0 -> 4128 bytes .../ketpic/ketlib/ketpic2esciL5/Arrowdata.bin | Bin 0 -> 5420 bytes .../ketpic/ketlib/ketpic2esciL5/Arrowhead.bin | Bin 0 -> 13408 bytes .../ketpic/ketlib/ketpic2esciL5/Arrowheaddata.bin | Bin 0 -> 10624 bytes .../ketpic/ketlib/ketpic2esciL5/Arrowline.bin | Bin 0 -> 6168 bytes .../scripts/ketpic/ketlib/ketpic2esciL5/Assign.bin | Bin 0 -> 20540 bytes .../ketpic/ketlib/ketpic2esciL5/Assignadd.bin | Bin 0 -> 1104 bytes .../ketpic/ketlib/ketpic2esciL5/Assignrep.bin | Bin 0 -> 1808 bytes .../ketpic/ketlib/ketpic2esciL5/Assignset.bin | Bin 0 -> 436 bytes .../ketpic/ketlib/ketpic2esciL5/Beginpicture.bin | Bin 0 -> 216 bytes .../scripts/ketpic/ketlib/ketpic2esciL5/Bezier.bin | Bin 0 -> 3792 bytes .../ketpic/ketlib/ketpic2esciL5/Bezierpt.bin 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.../ketpic/ketlib/ketpic2esciL5/Cancoordpara.bin | Bin 0 -> 2572 bytes .../ketpic/ketlib/ketpic2esciL5/Cancoordpers.bin | Bin 0 -> 5688 bytes .../ketpic/ketlib/ketpic2esciL5/Circledata.bin | Bin 0 -> 4012 bytes .../ketpic/ketlib/ketpic2esciL5/Clipindomain.bin | Bin 0 -> 6992 bytes .../ketpic/ketlib/ketpic2esciL5/Closefile.bin | Bin 0 -> 1692 bytes .../ketpic/ketlib/ketpic2esciL5/Closeobj.bin | Bin 0 -> 612 bytes .../ketpic/ketlib/ketpic2esciL5/Closepar.bin | Bin 0 -> 1212 bytes .../ketpic/ketlib/ketpic2esciL5/Closephr.bin | Bin 0 -> 980 bytes .../ketpic/ketlib/ketpic2esciL5/Closepicture.bin | Bin 0 -> 1776 bytes .../ketpic/ketlib/ketpic2esciL5/Connectseg.bin | Bin 0 -> 10104 bytes .../ketpic/ketlib/ketpic2esciL5/Crossprod.bin | Bin 0 -> 1956 bytes .../ketlib/ketpic2esciL5/Crv3onsfHiddenData.bin | Bin 0 -> 336 bytes .../ketlib/ketpic2esciL5/Crv3onsfparadata.bin | Bin 0 -> 5856 bytes .../ketlib/ketpic2esciL5/Crv3onsfpersdata.bin | Bin 0 -> 5860 bytes 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Bin 0 -> 2128 bytes .../ketpic/ketlib/ketpic2esciL5/Paramoncrv.bin | Bin 0 -> 3512 bytes .../ketpic/ketlib/ketpic2esciL5/Paramplot.bin | Bin 0 -> 14900 bytes .../scripts/ketpic/ketlib/ketpic2esciL5/Parapt.bin | Bin 0 -> 1820 bytes .../ketpic/ketlib/ketpic2esciL5/Partcrv.bin | Bin 0 -> 5492 bytes .../ketpic/ketlib/ketpic2esciL5/Partcrv3.bin | Bin 0 -> 4300 bytes .../ketpic/ketlib/ketpic2esciL5/Partframe.bin | Bin 0 -> 4232 bytes .../ketpic/ketlib/ketpic2esciL5/PartitionPt.bin | Bin 0 -> 308 bytes .../ketpic/ketlib/ketpic2esciL5/Partitionseg.bin | Bin 0 -> 12336 bytes .../scripts/ketpic/ketlib/ketpic2esciL5/Perspt.bin | Bin 0 -> 5236 bytes .../ketpic/ketlib/ketpic2esciL5/PhFaceL.bin | Bin 0 -> 388 bytes .../ketpic/ketlib/ketpic2esciL5/PhHiddenData.bin | Bin 0 -> 312 bytes .../ketpic/ketlib/ketpic2esciL5/PhVertexL.bin | Bin 0 -> 388 bytes .../ketpic/ketlib/ketpic2esciL5/Phcutdata.bin | Bin 0 -> 22004 bytes .../ketpic/ketlib/ketpic2esciL5/Phcutoffdata.bin | Bin 0 -> 23048 bytes 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texmf-dist/scripts/ketpic/ketlib/oshima/os_muldif.rr (limited to 'texmf-dist/scripts/ketpic/ketlib') diff --git a/texmf-dist/scripts/ketpic/ketlib/ketcindylib3d.cs b/texmf-dist/scripts/ketpic/ketlib/ketcindylib3d.cs new file mode 100644 index 00000000..53b542a0 --- /dev/null +++ b/texmf-dist/scripts/ketpic/ketlib/ketcindylib3d.cs @@ -0,0 +1,4517 @@ +// 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(2017.06.02) 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([]); //16.11.12 +Start3d(ptexception):=( //16.11.12 +//help:Start3d(); +//help:Start3d(execptionptlist); + regional(xmn,xMx,ymn,yMx,pt,pt3,pt2, + xPos,yTh,yPh,Eps,tmp,tmp1,tmp2,tmp3,tmp4); + GCLIST=[]; + GLIST=[]; + FUNLIST=[]; + COM0thlist=[]; + COM1stlist=[]; + COM2ndlist=[]; + SEG3dlist=[]; + SCIWRLIST=[]; + SCIRELIST=[]; + OutFileList=[]; + FigPdfList=[]; // 16.04.08 + ErrFlag=0; + OBJCMD=[]; // 16.11.29from + OCNAME=Fhead; + OCOPTION=["m","v"];// 16.11.29upto + ArrowlineNumber=1; // 16.01.31 + ArrowheadNumber=1; + BezierNumber=1; //16.01.31 + BezierNumber3=1; //16.08.19 + Fnametex=Fhead+".tex"; // 15.04.06 + Fnamesci=Fhead+".sce"; + Fnamescibody=Fhead+"body.sce"; + 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; // 16.06.20upto + 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]; + );// 17.05.18upto + 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); // 16.05.28upto + ); + ); + , + 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); +// 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; //17.07.01upto + 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); // 16.05.28upto + ); + ); + , + 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 upto +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+")"; //17.07.13upto +// 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"; + ); + ); + ); + ); // 16.08.14upto + 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"]); + ); + ); // 16.08.14upto + 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=text(P3data); + 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=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="); + pt3=tmp_1_2; + pt.xy=Parapt(pt3); + tmp=ptz+".x=pt.x+NE.x-SW.x"; + parse(tmp); + ); + 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="); + 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 upto + nn=length(ptslist)/2; + forall(1..nn,kk, // 16.08.19from + tmp1=ptslist_(2*kk-1); + pt3=ptslist_(2*kk); // 16.08.19upto + 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); + ); // 16.05.26upto + 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):=( + regional(name,name3,name2,tmp,tmp1,tmp2, + Ltype,Noflg,opstr,eqL,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)); + tmp1=select(eqL,indexof(#,"Num")>0); + if(length(tmp1)==0,eqL=append(eqL,"Num=20")); + 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"));//17.01.04 + 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); + tmp2=Spaceline("",tmp1,["nodata"]); + tmp=name3+"="+tmp2; + parse(tmp); + tmp1=Projpara(name3,["nodata"]); + tmp=name2+"="+textformat(tmp1,5); + parse(tmp); + tmp1=text(out); + tmp1=substring(tmp1,1,length(tmp1)-1); + tmp=name3+"=Joincrvs("+tmp1+")"; + 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):=( + 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 +// if(nn==2,numstr="",numstr=text(nn-2)); + 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 +// if(length(tmp)==0, + Putpoint3d([tmp1,tmp2]); +// );// 16.08.19upto + ctrpts=append(ctrpts,tmp1); + tmp1=name+numstr+"q"; + tmp3=(pt3L_(nn-1)+2*pt3L_nn)/3; + VLIST=select(VLIST,#_1!=tmp1+"3d="); +// if(length(tmp)==0, + Putpoint3d([tmp1,tmp3]); +// ); + ctrpts=append(ctrpts,tmp1); + , + tmp1=name+numstr+"p"; + tmp2=(pt3L_(nn-1)+pt3L_nn)/2; + VLIST=select(VLIST,#_1!=tmp1+"3d="); // 16.08.19upto +// if(length(tmp)==0, + 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):=( + regional(Eps,ptlist,nn,pt3L,name,bz,pt,p1,p2,p13d,p23d,pt3, + Out,tt,pos,tmp,tmp1,tmp2); + Eps=10^(-4); + pos=[NE.x+1,NE.y]; + if(MeasureDepth(ptdata)==0,ptlist=[ptdata],ptlist=[ptdata]); + Out=[]; + forall(1..length(ptlist),nn, + nn=1; + pt3L=ptlist_nn; + 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,pt3L,options); + Bezier3(name,pt3L,tmp2,options); +// BZLIST3=append(BZLIST3,[name,pt3L]); + 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 upto + ); + 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)]]; + ); // 16.06.19upto + 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 upto + ); + eL=[]; + forall(vfnL_2,face, + forall(1..length(face), + tmp1=face_#; + if(#