// 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.
// f
// You should have received a copy of the GNU General Public License
// along with this program. If not, see
//
println("KeTCindy V.3.2.3(20181201)");
println(ketjavaversion());
println("ketcindylibbasic1(20181125) loaded");
//help:start();
//help:drawimage([0,0],"picture.png",scale->2,alpha->0.4);
//help:drawtext((2,1),"Text",size->2);
//help:system(list=append(list,"a"););
//help:system(list=concat(list,["a","b"]););
//help:system(arccos,arcsin,arctan);
//help:system(abs,round,floor,ceil);
//help:Option1(["dr","dr,2","da","da,2,1","do","do,1,2"]);
//help:Option2(["notex","nodisp","nodata"]);
//help:getdirhead();
//help:gedirhead("/Applications");
//help:gedirhead("C:\Users\(username)");
//help:setpath();
Ch=[0]; ChNum=1;
////%Ketinit start////
Ketinit():=Ketinit("fig",1,[-5,5],[-5,5]); //181001
Ketinit(Arg):=(//181001from
if(isstring(Arg),
Ketinit(Arg,1,[-5,5],[-5,5]);
,
Ketinit("fig",Arg,[-5,5],[-5,5]);
);
);
Ketinit(work,sy,rangex,rangey):=(//181001to
//help:Ketinit();
//help:Ketinit("");
regional(pt,tmp,tmp1,tmp2,letterc,boxc,shadowc,mboxc);
PenThickInit=8;
ULEN="1cm";
MEMORI=0.05;//18.01.15from
MEMORIInit=MEMORI;
MEMORINow=MEMORI;
MARKLEN=0.05;
MARKLENInit=MARKLEN; //180504
MARKLENNow= MARKLEN;
GENTEN=[0,0];//18.01.15until
KETPICLAYER=20;
MilliIn=1/2.54*1000;
PenThick=round(MilliIn*0.02);
PenThickInit=PenThick;
TenSizeInit=0.02;
TenSize=TenSizeInit;
YaSize=1; YaAngle=18; YaPosition=1;
YaThick=1; YaStyle="tf";
KETPICCOUNT=1;
KCOLOR=[0,0,0];
GLIST=[];
GCLIST=[];
// GDATALIST=[];
GOUTLIST=[];
POUTLIST=[];
VLIST=[];
FUNLIST=[];
LETTERlist=[];
COM0thlist=[];
COM1stlist=[];
COM2ndlist=[];
COM2ndlistb=[]; //180612
ADDAXES="1";
LFmark=unicode("000a");
CRmark=unicode("000d");//16.12.13
Dq=unicode("0022");
CommonMake=0;//180610
WaitUnit=10;
CONTINUED=0;
OutComList=[];
OutFileLIst=[]; // 15.10.22
FigPdfList=[]; // 16.04.08
ADDPACK=[]; // 16.05.16
GPACK="tpic"; //180817
ErrFlag=0;
setdirectory(Dirwork);
if(!isstring(Fhead), // 17.10.13from, 17.11.12
Fhead=text(curkernel());
Fhead=replace(Fhead,".cdy","");
Slidename=Fhead; //17.10.24
);//17.11.12
Dircdy=replace(Dircdy,"%E3%80%80"," ");//180405
Namecdy=Cindyname();//180608
tmp1=Indexall(Dircdy,"%"); //180329from
if(length(tmp1)>0,
tmp1=append(tmp1,length(Dircdy));
tmp2=substring(Dircdy,0,tmp1_1-1);
forall(1..(length(tmp1)-1),
tmp=substring(Dircdy,tmp1_#,tmp1_#+2);
tmp2=tmp2+unicode(tmp);
tmp2=tmp2+substring(Dircdy,tmp1_#+2,tmp1_(#+1)-1);
);
Dircdy=tmp2;
); //180329to
if(iswindows(), //17.12.01
Dircdy=replace(Dircdy,"/",pathsep());
if(substring(Dircdy,0,1)==pathsep(),
Dircdy=substring(Dircdy,1,length(Dircdy));
);
);
Changesetting(Homehead+pathsep()+getname()); //180913
Changesetting(Dircdy); //181017
Changework(Dircdy+pathsep()+work); //180329to,181001
Fnametex=Fhead+".tex";
FnameR=Fhead+".r";
FnamebodyR=Fhead+"body.r";
Fnameout=Fhead+".txt"; // 17.10.13until
if(!isstring(Mackc),// 16.06.07
Mackc="sh";
);
if(iswindows(),
Batparent="\kc.bat";
,
if(ismacosx(), //181125from
Shellparent="/kc.command";
,
Shellparent="/kc.sh";
); //181125to
if(!isexists(Dirwork,""),
println(Dirwork+" not exists");
,
if(!iskcexists(Dirwork),
setdirectory(Dirwork);
SCEOUTPUT = openfile(Shellparent);
closefile(SCEOUTPUT);
println(Shellparent+" generated");
);
println(setexec(Dirwork,Shellparent));
);
);
ArrowlineNumber=1; // 15.01.05
ArrowheadNumber=1;
BezierNumber=1; //15.01.03
SCALEX=1;
SCALEY=sy;
// Setscaling(sy);
XMIN=rangex_1/SCALEX;
XMAX=rangex_2/SCALEX;
YMIN=rangey_1/SCALEY;
YMAX=rangey_2/SCALEY;
Setwindow("Msg=n"); // 16.05.31
// for Presentation
letterc=[0.98,0.13,0,0.43]; boxc=[0,0.32,0.52,0];
shadowc=[0,0,0,0.5]; mboxc="yellow"; //17.03.02 regional debugged
SlideColorList=[letterc,boxc,boxc,boxc,shadowc,shadowc,6,1.3,
letterc,mboxc,mboxc,mboxc,62,2,letterc];
SlideMargin=[0,0]; //180908
ThinDense=0.1;//17.01.08
if(indexof(PathS,"-5.")>0,//17.12.03from
LibnameS=Dirlib+pathsep()+"ketpicsciL5";
,
LibnameS=Dirlib+pathsep()+"ketpicscifiles6";
);
if(indexof(PathT,"pdflatex")+indexof(PathT,"lualatex")>0,
LibnameS=replace(LibnameS,"ketpic","ketpic2e");
);//17.12.03until
);
////%Ketinit end////
////%Fillstore start////
Fillstore():=(
regional(tmp,tmp1,out);
tmp1=allelements();
tmp1=select(tmp1,indexof(#.name,"Text")>0);
out=apply(tmp1,[#.name,#.fillcolor]);
out;
);
////%Fillstore end////
////%Fillblack start////
Fillblack():=Fillblack("Running");
Fillblack(str):=(
regional(tmp,tmp1,store);
tmp1=allelements();
tmp1=select(tmp1,indexof(#.name,"Text")>0);
store=apply(tmp1,[#.name,#.fillcolor,#.text]);
tmp=select(tmp1,#.name=="Text0");
if(length(tmp)==0,
forall(store,
tmp=parse(#_1);
tmp.fillcolor=[0,0,0];
);
,
Text0.text=str;
);
store;
);
////%Fillblack end////
////%Fillrestore start////
Fillrestore(store):=(
regional(tmp);
tmp=select(store,#_1=="Text0");
if(length(tmp)==0,
forall(store,
tmp=parse(#_1);
tmp.fillcolor=#_2;
);
,
tmp=tmp_1;
Text0.text=tmp_3;
);
);
////%Fillrestore end////
////%Readlines start////
Readlines(file):=Readlines(Dirwork,file); //181126
Readlines(path,file):=(
//help:Readlines(path,file);
regional(tmp,out);
out=readfile2str(path,file);
out=tokenize(out,"/LF/");
tmp=out_(length(out));
if(length(tmp)==0,
out=out_(1..(length(out)-1));
);
out;
);
////%Readlines end////
////%Changesetting start////
Changesetting(dir):=( //181017
regional(fname);
fname="ketcindychange.txt";
if(!isexists(dir,fname),
if(dir==Dircdy,
fname="ketcindy.conf";
,
fname=".ketcindy.conf";
);
);
if(isexists(dir,fname),
println("read "+fname+" in "+dir);
setdirectory(dir);
import(fname);
);
); //181017to
////%Changesetting end////
////%Cindyname start////
Cindyname():=Getcdyname();
Cdyname():=Getcdyname();
Getcdyname():=( //17.12.27
//help:Cindyname();
regional(out);
out=text(curkernel());
out=replace(out,".cdy","");
);
////%Cindyname end////
////%Setwindow start////
Setwindow():=Setwindow("Msg=yes");
Setwindow(str):=(
regional(tmp,tmp1,tmp2,msg);
msg="y";
tmp=indexof(str,"="); // 16.02.10
tmp1=Toupper(substring(str,tmp,tmp+1));
if(tmp1=="N",msg="n");
if((ispoint(SW) & ispoint(NE)),
tmp1=Lcrd(SW);
tmp2=Lcrd(NE);
XMIN=tmp1_1; XMAX=tmp2_1;
YMIN=tmp1_2; YMAX=tmp2_2;
,
// XMIN=-5; XMAX=5;
// YMIN=Lcrdy(-5); YMAX=Lcrdy(5);
// createpoint("SW",Pcrd([XMIN,YMIN]));
// createpoint("NE", Pcrd([XMAX,YMAX]));
Putpoint("SW",Pcrd([XMIN,YMIN]));
Putpoint("NE", Pcrd([XMAX,YMAX]));
);
if(msg=="y",
println("Setwindow(["+XMIN+","+XMAX+"],["+YMIN+","+YMAX+"])");
);
layer(KETPICLAYER);
autoclearlayer(KETPICLAYER,true);
drawpoly([Pcrd([XMIN,YMIN]), Pcrd([XMAX,YMIN]),
Pcrd([XMAX,YMAX]),Pcrd([XMIN,YMAX])],color->[1,1,1]);
);
Setwindow(xrange,yrange):=(
//help:Setwindow([2,3],[-1,1]);
XMIN=xrange_1;
XMAX=xrange_2;
YMIN=yrange_1;
YMAX=yrange_2;
Putpoint("SW",[XMIN,YMIN]);//181016
Putpoint("NE",[XMAX,YMAX]);//181016
// Ketinit();
);
////%Setwindow end////
////%Setfiles start////
Setfiles():=Setfiles(""); //180618
Setfiles(file):=( // 17.01.16
//help:Setfiles(file);
if(length(file)>0, //180618
Fhead=file;
Fnametex=Fhead+".tex";
FnameR=Fhead+".r"; //17.10.14
FnamebodyR=Fhead+"body.sce";
Fnameout=Fhead+".txt";
OCNAME=Fhead; //180714 for obj
,
println("Fhead="+Dqq(Fhead)); //180618
);
);
////%Setfiles end////
////%Setparent start////
Setparent():=Setparent("");
Setparent(file):=( // 17.11.27
//help:Setparent(file);
if(length(file)>0, //180618
Texparent=file;
,
if(isstring(Texparent), //180618from
println("Texparent="+Dqq(Texparent));
,
println("Texparent not defined");
);
); //180618to
);
////%Setparent end////
////%Dqq start////
Dqq(str):=DqDq(str); //18.02.11
////%Dqq end////
////%DqDq start////
DqDq(str):=(
//help(Dqq("ab"); => Dq+"ab"+Dq)
unicode("0022")+str+unicode("0022");
);
////%DqDq end////
////%Tab2list start////
Tab2list(dtstr):=Tab2list(dtstr,[]);
Tab2list(dtstrorg,options):=(
//help:Tab2list(datastr);
//help:Tab2list(options=["Blank=(null)","Sep=tab"]);
regional(dtstr,dtall,dt,rep,out,crm,lfm,htm,first,eqL,sep,
tmp,tmp1,tmp2);
crm=unicode("000d");
lfm=unicode("000a");
htm=unicode("0009");
tmp=Divoptions(options);
eqL=tmp_5;
rep="";
sep=htm;
forall(eqL,
tmp=indexof(#,"=");
tmp1=Toupper(substring(#,0,1));
tmp2=substring(#,tmp,length(#));
if(tmp1=="B",
tmp1="0123456789+-."; // 16.09.28from
tmp=substring(tmp2,0,1);
if(indexof(tmp1,tmp)>0,rep=parse(tmp2),rep=tmp2); // 16.09.28until
);
if(tmp1=="S", // 16.12.04
if(tmp2!="tab",sep=tmp2);
);
);
first=lfm; // 16.09.05from
if(indexof(dtstr,crm)>0,
first=crm;
if(indexof(dtstr,crm+lfm)>0,
first=first+lfm;
); // 16.09.05until
);
dtstr=dtstrorg;// 16.09.19from
tmp=substring(dtstr,length( dtstr)-1,length(dtstr));
if(tmp!=lfm,
dtstr=dtstr+first;
);// 16.09.19until
tmp1=Indexall(dtstr,first);
tmp1=prepend(0,tmp1);
tmp1=append(tmp1,length(dtstr));
dtall=[];
forall(1..(length(tmp1)-1),
tmp=substring(dtstr,tmp1_#,tmp1_(#+1)-1);
if(length(tmp)>0,
dtall=append(dtall,tmp);
);
);
out=[];
forall(dtall,dt,
tmp1=tokenize(dt,sep); //16.12.04
tmp2=[];
forall(tmp1,
if(isstring(#),tmp=parse(#),tmp=#);
if(!isreal(tmp),
if(length(#)>0,tmp=#,tmp=rep);
);
tmp2=append(tmp2,tmp);
);
out=append(out,tmp2);
);
out;
);
////%Tab2list end////
////%Columnlist start////
Columnlist(dt,list):=( // 16.09.04
//help:Columnlist(dt,1..3);
apply(dt,#_list);
);
////%Columnlist end////
////%Dispmat start////
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();
);
////%Dispmat end////
////%Sep1000 start////
Sep1000(va):=( //17.07.18
//help:Sep1000(1344555);
//help:Sep1000([12456,55567]);
regional(str,nall,out);
if(islist(va),
out=apply(va,Sep1000(#));
,
str=text(va);
nall=length(str);
out="";
forall(1..nall,
out=str_(nall+1-#)+out;
if((#0,
tmp1=tmp+length(str)-length(rest);
out=append(out,tmp1);
rest=substring(rest,tmp,length(rest));
,
flg=1;
);
);
);
out;
);
////%Indexall end////
////%Strsplit start////
Strsplit(str,key):=( //180505
//help:Strsplit(string,"=");
regional(start,out,tmp1,tmp2);
tmp1=Indexall(str,key);
out=[]; start=0;
forall(tmp1,
out=append(out,substring(str,start,#-1));
start=#;
);
out=append(out,substring(str,start,length(str)));
out;
);
////%Strsplit end////
////%Parlevel start////
Parlevel(str):=Bracket(str); // 16.05.22from
////%Parlevel end////
////%Bracket start////
Bracket(str):=Bracket(str,"()");
Bracket(str,br):=(
//help:Bracket(string,"()");
regional(ph,pt,out,noL,ncL,nall,level,tmp);
ph=substring(br,0,1);
pt=substring(br,1,2);
noL=Indexall(str,ph);
ncL=Indexall(str,pt); // 16.05.22until
nall=sort(concat(noL,ncL));
level=0;
out=[];
forall(nall,
if(contains(noL,#),
level=level+1;
tmp=[#,level];
,
tmp=[#,-level];
level=level-1;
);
out=append(out,tmp);
);
out;
);
////%Bracket end////
////%Pardiagram start////
Pardiagram(str):=Pardiagram(str,[20]);
Pardiagram(str,options):=(
//help:Pardiagram(exprstr);
//help:Pardiagram(options=[20,"Disp=y","Fig=y"]);
regional(reL,eqL,len,disp,scheme,bra,nn,sta,out,
opos,cpos,all,dx,dh,mxh,start,nn,p1,p2,p3,p4,tmp,tmp1,tmp2,tmp3);
len=20;
disp=1;
scheme=1;
tmp=Divoptions(options);
eqL=tmp_5;
reL=tmp_6;
forall(eqL,
tmp=indexof(#,"=");
tmp1=Toupper(substring(#,0,1));
tmp2=Toupper(substring(#,tmp,tmp+1));
if(tmp1=="D",
if(tmp2=="N" % tmp2=="F",disp=0);
);
if(tmp1=="F",
if(tmp2=="N" % tmp2=="F",scheme=0);
);
);
forall(reL,
len=#;
);
bra=Bracket(str);
tmp1=select(bra,#_2>0);
tmp2=select(bra,#_2<0);
out=[];
forall(1..(length(tmp1)),nn,
sta=tmp1_nn;
tmp=select(tmp2,#_2==-sta_2 & #_1>sta_1);
tmp=tmp_1;
out=append(out, [substring(str,sta_1-1,tmp_1),
nn,sta_2,sta_1,tmp_1,
substring(str,sta_1-1,sta_1+len-1),
substring(str,tmp_1-len,tmp_1)] );
);
if(disp==1,
println("Printing from 2 to 7. (Extract full string using _1)");
apply(out,println(#_(2..7)));
);
if(scheme==1,
opos=sort(apply(out,#_4));
cpos=sort(apply(out,#_5));
tmp=concat(opos,cpos);
all=sort(tmp);
mxh=max(apply(out,#_3));
dx=1;
dh=1;
start=[-5,5];
forall(1..(length(all)),nn,
tmp=select(out,#_4==all_nn);
if(length(tmp)>0,
tmp1=tmp_1_3;
tmp2=tmp_1_4;
tmp3=tmp_1_5;
tmp=select(1..(length(all)),all_#==tmp3);
tmp4=tmp_1;
p1=start+[(nn-1)*dx,-0.5];
p2=p1+[0,(tmp1-mxh-1)*dh];
p3=p2+[(tmp4-nn)*dx,0];
p4=p3+[0,(mxh+1-tmp1)*dh];
Listplot("ch"+text(nn),[p1,p2,p3,p4],["Message=n"]);
Letter([p2,"s",text(tmp2),p3,"s",text(tmp3)]);
tmp=select(1..(length(opos)),opos_#==tmp2);
tmp=tmp_1;
if(tmp==1,
tmp=substring(str,tmp2-1,tmp2);
,
if(opos_(tmp-1)==opos_tmp-1,
tmp=substring(str,tmp2-1,tmp2);
,
tmp=substring(str,tmp2-2,tmp2);
);
);
tmp=replace(tmp,"^","**");
Expr(p1,"n",tmp);
tmp=select(1..(length(cpos)),cpos_#==tmp3);
tmp=tmp_1;
if(tmp==length(cpos),
tmp=substring(str,tmp3-1,tmp3);
,
if(cpos_(tmp+1)==cpos_tmp+1,
tmp=substring(str,tmp3-1,tmp3);
,
tmp=substring(str,tmp3-1,tmp3+1);
);
);
tmp=replace(tmp,"^","**");
Expr(p4,"n",tmp);
);
);
);
out;
);
////%Pardiagram end////
////%Changework start////
Changework():=Changework(""); //180618
Changework(dirorg):=Changework(dirorg,["Sub=y"]);
Changework(dirorg,options):=( //16.10.21
//help:Changework(directory);
//help:Changework(Dircdy+"fig");
//help:Changework(options=["Sub=n"(not to make folder fig]);
regional(dir,subdir,tmp,,eqL,makesub);
tmp=Divoptions(options);
eqL=tmp_5; //180605from
makesub=1;
forall(eqL,
tmp=Strsplit(#,"=");
tmp1=Toupper(substring(#,0,1)); //181111
if(tmp1=="S",
tmp=Toupper(tmp_2);
if(substring(tmp,0,1)=="N",
makesub=0;
);
);
); //180605to
dir=replace(dirorg,"/",pathsep());//17.11.20from
dir=replace(dir,"\",pathsep());
dir=replace(dir,pathsep()+pathsep(),pathsep());//17.11.24
tmp=length(dir);
if(substring(dir,tmp-1,tmp)==pathsep(),
dir=substring(dir,0,tmp-1);
);//17.11.20until
tmp=Indexall(dir,pathsep()); //17.11.24from
subdir="";
if(length(tmp)>0,
tmp=tmp_(length(tmp));
subdir=substring(dir,tmp,length(dir));
dir=substring(dir,0,tmp-1);
); //17.11.24until
if(dir=="" % !isexists(dir,""),
if(dir=="", //180618from
println("Dirwork="+Dqq(Dirwork));
,
println("Directory "+dir+" not exist, so "+Dqq(Dirwork)+" not changed");
); //180618to
// println("Directory "+dir+" not exist, so set to "+Dircdy);//180604(2lines)
// Dirwork=Dircdy;
// ErrFlag=-1;
,
if(length(subdir)>0, //180605
if(makesub==1,//180606from
println(makedir(dir,subdir));
);//180606
Dirwork=dir+pathsep()+subdir;
,
Dirwork=dir;
); //17.11.24until
setdirectory(Dirwork);
if(!iswindows(), //17.04.11
if(!iskcexists(Dirwork),
SCEOUTPUT = openfile("/kc.command"); //181125
closefile(SCEOUTPUT);
println(setexec(Dirwork,"/kc.command")); //181125
);
);
);
);
////%Changework end////
////%Changestyle start////
Changestyle(nameL,style):=(
//help:Changestyle(["sgAB"],["da"]);
regional(nmL,name,Ltype,Ltypeorg,Noflg,color,opcindy,tmp);
tmp=Divoptions(style);
Ltypeorg=tmp_1;
Noflg=tmp_2;
color=tmp_(length(tmp)-2);
opcindy=tmp_(length(tmp));
if(islist(nameL),nmL=nameL,nmL=[nameL]);
forall(nmL,name,
tmp=select(GCLIST,#_1==name);
if(length(tmp)>0,
Ltype=Ltypeorg;
GCLIST=select(GCLIST,#_1!=name);
COM2ndlist=select(COM2ndlist,
(indexof(#,"("+name)==0)%(indexof(#,"Shade")>0)); // 15.05.23,16.12.13
if(Noflg<2,
if(isstring(Ltype),
if((Noflg==0)&(color!=KCOLOR), //180904
Texcom("{");Com2nd("Setcolor("+color+")");//180722
);
Ltype=GetLinestyle(text(Noflg)+Ltype,name);
if((Noflg==0)&(color!=KCOLOR), //180904
Texcom("}");//180722
);
,
if(Noflg==1,Ltype=0);
);
GCLIST=append(GCLIST,[name,Ltype,opcindy]);
);
);
);
);
////%Changestyle end////
////%Op start////
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;
);
////%Op end////
////%Ptselected start////
Ptselected():=Isptselected(allpoints());//180711(2lines)
Ptselected(ptlist):=Isptselected(ptlist);
Isptselected():=Isptselected(allpoints()); //180706
Isptselected(ptlist):=(
//help:Ptselected();
//help:Isptselected();
regional(flg);
flg=0;
forall(ptlist,
if(flg==0,
if(isselected(#),flg=1);
);
);
if(flg==0,false,true);
);
////%Ptselected end////
////%Finddef start////
Finddef(G):=(
regional(def,tmp,tmp1,tmp2,tmp3);
if(isstring(G),tmp=parse(G),tmp=G);
def=text(inspect(tmp,"definition"));
tmp1=indexof(def,"(");
tmp2=indexof(def,";");
tmp3=indexof(def,")");
tmp=[substring(def,0,tmp1-1)];
if(tmp2>0,
tmp=append(tmp,substring(def,tmp1,tmp2-1));
if(indexof(def,")",tmp3+1)==0,
tmp=append(tmp,substring(def,tmp2,tmp3-1));
,
tmp=append(tmp,substring(def,tmp2,tmp3));
);
,
tmp=append(tmp,substring(def,tmp1-1,tmp3));
);
tmp;
);
////%Finddef end////
////%Findgeoinfo start////
Findgeoinfo(geo):=(
regional(out,tmp,tmp1,tmp2);
tmp=Finddef(geo);
if(ispoint(parse(tmp_2)),
out=[tmp_2,tmp_3];
,
tmp1=Findgeoinfo(parse(tmp_2));
if(ispoint(parse(tmp1_1)),
out=[tmp1_1,tmp1_2];
,
tmp2=Findgeoinfo(parse(tmp1_2));
out=[tmp2_1,tmp2_2];
);
);
if(ispoint(geo),
if(!ispoint(parse(tmp_2)),
tmp1=Finddef(parse(tmp_2));
,
tmp1=tmp;
);
out=append(out,tmp1_3);
,
out=append(out,tmp_3);
);
out;
);
////%Findgeoinfo end////
////%Dependgeo start////
Dependgeo(geo):=(
regional(tmp,tmp1,tmp2,out);
tmp=Finddef(geo);
if(!iscircle(geo),
out=[text(geo)];
,
out=[geo];
);
if(length(tmp)<3,
out=concat(out,[tmp_1,[]]);
,
out=concat(out,[tmp_1]);
tmp1=[tmp_2,tmp_3];
tmp=parse(tmp1_2);
if(islist(tmp) % isreal(tmp),
tmp1=[tmp1_1];
);
out=append(out,tmp1);
);
out;
);
////%Dependgeo end////
////%Workprocess start////
Workprocess():=Drawprocess(300,["Disp=n"]); //181030
Workprocess(nn):=(
//help:Workprocess();
Drawprocess(nn,["Disp=n"]);
);
////%Workprocess end////
////%Drawprocess start////
Drawprocess():=Drawprocess(300,["Disp=y"]);
Drawprocess(nn):=Drawprocess(nn,["Disp=y"]);
Drawprocess(nn,options):=(
//help:Workprocess();
regional(All,added,remain,out,flg,dispflg,eqL,tmp,tmp1,tmp2);
tmp=Divoptions(options); //181030from
eqL=tmp_5;
dispflg="Y";
forall(eqL,
tmp=Strsplit(#,"=");
tmp1=Toupper(substring(tmp_1,0,1));
tmp2=Toupper(substring(tmp_2,0,1));
if(tmp1=="D",dispflg=tmp2);
); //181030to
tmp=remove(allpoints(),[NE,SW,TH,FI]);
tmp1=select(tmp,
substring(text(#),length(text(#))-1,length(text(#)))!="z");
tmp1=concat(tmp1,alllines());
// tmp1=concat(tmp1,allcircles());
All=apply(tmp1,Dependgeo(#));
added=select(All,length(#_3)==0);
out=sort(apply(added,#_1));
remain=remove(All,added);
flg=0;
repeat(nn,
if(flg==0,
tmp1=select(remain,remove(#_3,out)==[]);
tmp2=sort(apply(tmp1,#_1));
out=concat(out,tmp2);
remain=remove(remain,tmp1);
if(length(remain)==0,flg=1);
);
);
if(dispflg=="Y",
println("Process of drawing");
);
tmp1=[];//181030from
forall(out,
tmp=Dependgeo(parse(#));
tmp1=append(tmp1,tmp);
if(dispflg=="Y",
println(Dependgeo(parse(#)));
);
);
tmp1;//181030to
);
////%Drawprocess end////
////%Sortpointlist start////
Sortpointlist(list):=(
regional(plist,ilist,jj,kk,flg,p1,p2,in1,in2,
tmp,tmp1,tmp2,out);
out=list;
plist=list_1;
ilist=list_2;
flg=0;
forall(1..(length(plist)),jj,
p1=plist_jj;
in1=ilist_jj;
forall((jj+1)..(length(plist)),kk,
if(flg==0,
p2=plist_kk;
in2=ilist_kk;
if(contains(in1,p2),
tmp1=plist_(1..(jj-1));
tmp1=append(tmp1,p2);
tmp1=concat(tmp1,plist_((jj+1)..(kk-1)));
tmp1=append(tmp1,p1);
tmp1=concat(tmp1,plist_((kk+1)..(length(plist))));
tmp2=ilist_(1..(jj-1));
tmp2=append(tmp2,in2);
tmp2=concat(tmp2,ilist_((jj+1)..(kk-1)));
tmp2=append(tmp2,in1);
tmp2=concat(tmp2,ilist_((kk+1)..(length(plist))));
out=Sortpointlist([tmp1,tmp2]);
flg=1;
);
);
);
);
out;
);
////%Sortpointlist end////
////%Toupper start////
Toupper(str):=(
//help:Toupper("Abc");
regional(alphabet,out,tmp,tmp1);
alphabet="abcdefghijklmnopqrstuvwxyz";
out="";
forall(1..(length(str)),
tmp=substring(str,#-1,#);
tmp1=indexof(alphabet,tmp);
if(tmp1>0,
out=out+unicode(text(tmp1+64),base->10);
,
out=out+tmp;
);
);
out;
);
////%Toupper end////
////%Textformat start////
Textformat(value,dig):=(
//help:Textformat(2/3,4);
//help:Textformat([gr1,gr2],5);
regional(vv,tmp,tmp1);
if(islist(value),
tmp1="[";
forall(value,
tmp1=tmp1+Textformat(#,dig)+",";
);
if(length(tmp1)>1, //18.01.29from
tmp1=substring(tmp1,0,length(tmp1)-1);
);
tmp1=tmp1+"]"; //18.01.29until
,
if(ispoint(value) % isstring(value),
// vv=Lcrd(value);
// tmp1=Textformat(vv,dig);
// tmp1=text(value); // 15.04.07
if(isstring(value),tmp1=Dq+value+Dq,tmp1=text(value)); // 15.10.02
,
tmp1=format(value,dig);
);
);
tmp1;
);
////%Textformat end////
////%Sprintf start////
Sprintf(value,dig):=(
//help:Sprintf(5.1,4);
regional(vv,tmp,tmp1);
if(!islist(value), // 17.03.12from
if(isstring(value),
vv=value;
,
vv=Textformat(value,dig);
); // 17.03.12from
if(indexof(vv,".")==0,vv=vv+".");
vv=vv+"0000000000000000";
tmp=indexof(vv,".")+dig;
vv=substring(vv,0,tmp);
,
vv=apply(value,Sprintf(#,dig));
);
vv;
);
////%Sprintf end////
Assign(str):=( // old
regional(out);
out=str;
forall(VLIST,
tmp=substring(#_1,0,length(#_1)-1);
out=replace(out,tmp,"("+#_2+")");
);
out;
);
////%Assign start////
Assign(funstr,vrL):=(
regional(nn,out,tmp,tmp1);
nn=length(vrL)/2;
out=funstr;
forall(1..nn,
out=Assign(out,vrL_(2*#-1),vrL_(2*#));
);
out;
);
Assign(funstr,varname,rep):=(
//help:Assign("x^2+a*x","a",1.3);
//help:Assign("a*x^2+b*x",["a",1,"b",2]);
regional(repstr,ii,jj,tmp,tmp1,tmp2,Notvar,Flg);
if(isstring(rep),repstr=rep,repstr="("+Textformat(rep,6)+")");
// 15.02.09, 07.06,17.08.24
tmp=[46]; // 12.20
tmp=concat(tmp,48..57);
tmp=concat(tmp,65..90);
tmp=concat(tmp,97..122);
Notvar=apply(tmp,unicode(text(#),base->10));
tmp2="";
forall(1..100,
ii=indexof(funstr,varname);
if(ii>0,
Flg=0;
if(ii>1,
tmp=substring(funstr,ii-2,ii-1);
if(contains(Notvar,tmp),
tmp2=tmp2+substring(funstr,0,ii);
funstr=substring(funstr,ii,length(funstr));
Flg=1;
);
);
if(Flg==0,
jj=ii-1+length(varname);
if(jj0, //180501
if(ispoint(list),
Depth=0;
Flg=1;
,
tmp1=select(1..(length(list)),length(list_#)>0);//17.05.21from
tmp=list_(tmp1_1);//17.05.21until
);
repeat(4,
if(Flg==0,
if(islist(tmp),
tmp=tmp_1;
Depth=Depth+1;
,
if(ispoint(tmp),Depth=Depth+1);
Flg=1;
);
);
);
);//180501
Depth;
);
////%MeasureDepth end////
////%Flattenlist start////
Flattenlist(pltlist):=(
//help:Flattenlist([[2,3],[[1,2],[5,6]]]);
regional(Out,nn,Dt,ii,tmp,flg);
Out=[];
if(MeasureDepth(pltlist)==1,
Out=[pltlist];
,
forall(1..(length(pltlist)),nn,
Dt=pltlist_nn;
if(MeasureDepth(Dt)<2,
Out=append(Out,Dt);
,
forall(1..(length(Dt)),ii,
tmp=Flattenlist(Dt_ii);
Out=concat(Out,tmp);
);
);
);
);
Out;
);
////%Flattenlist end////
////%Divoptions start////
Divoptions(options):=(
//help:Divoptions(options);
regional(Ltype,Noflg,Inflg,Outflg,eqL,realL,strL,color,opstr,opcindy,flg,
tmp,tmp1,tmp2);
Ltype="dr"; // 2015.01.13
Noflg=0;
Inflg=0;
Outflg=0;
eqL=[];
realL=[];
strL=[];
color=KCOLOR; //180603
opstr="";
opcindy="";
forall(options,
flg=0;
if(flg==0,
if(isreal(#) % ispoint(#) % islist(#),
realL=append(realL,#);
opstr=opstr+","+text(#);
flg=1;
);
);
if(flg==0,
if(indexof(#,"=")>0,
tmp=Strsplit(#,"="); //180602from
tmp1=Toupper(tmp_1);
tmp2=tmp_2;
if(tmp1=="COLOR",
if(indexof(tmp2,"[")>0, //180928
tmp1=parse(tmp2);
color=tmp1;
if(length(tmp1)==4,
tmp1=colorCmyk2Rgb(tmp1);
);
,
if(tmp2=="red",tmp1=[1,0,0];color=tmp1);
if(tmp2=="green",tmp1=[0,1,0];color=tmp1);
if(tmp2=="blue",tmp1=[0,0,1];color=tmp1);
if(tmp2=="black",tmp1=[0,0,0];color=tmp1);
if(tmp2=="white",tmp1=[1,1,1];color=tmp1);
if(tmp2=="cyan",tmp1=[0,1,1];color=tmp1);
if(tmp2=="magenta",tmp1=[1,0,1];color=tmp1);
if(tmp2=="yellow",tmp1=[1,1,0];color=tmp1);
);
tmp="color->"+text(tmp1);
opcindy=opcindy+","+tmp;
,
eqL=append(eqL,#);
);//180602to
flg=1;
);
);
if(flg==0,
if(indexof(#,"no")+indexof(#,"No")>0,
if(indexof(#,"tex")>0,Noflg=1);
if(indexof(#,"disp")>0,Noflg=2);
if(indexof(#,"data")>0,Noflg=3);
flg=1;
);
);
if(flg==0,
if(indexof(#,"->")>0,
opcindy=opcindy+","+#;
flg=1;
);
);
if(flg==0,
if(indexof(#,"out")+indexof(#,"Out")>0,
if(indexof(#,"-")==0,
Outflg=1;
,
Outflg=2;
);
flg=1;
);
);
if(flg==0,
if(indexof(#,"in")+indexof(#,"In")>0,
if(indexof(#,"-")==0,
Inflg=1;
,
Inflg=2;
);
flg=1;
);
);
if(flg==0,
tmp=substring(#,0,2);
tmp1=indexof(tmp,"dr")+indexof(tmp,"Dr");
tmp1=tmp1+indexof(tmp,"da")+indexof(tmp,"Da");
tmp1=tmp1+indexof(tmp,"id")+indexof(tmp,"Id");
tmp1=tmp1+indexof(tmp,"do")+indexof(tmp,"Do");
tmp1=tmp1+indexof(tmp,"dp")+indexof(tmp,"Dp");
if(tmp1>0,
Ltype=#;
flg=1;
);
if(flg==0,
if(length(#)>0, //180408
strL=append(strL,#);
opstr=opstr+","+Dq+#+Dq;
);
);
);
);
if(indexof(opcindy,"color->")==0,// 16.10.07from
opcindy=opcindy+",color->"+text(KCOLOR);
);
[Ltype,Noflg,Inflg,Outflg,eqL,realL,strL,color,opstr,opcindy];
);
////%Divoptions end////
////%Dotprod start////
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;
);
////%Dotprod end////
////%Crossprod start////
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;
);
////%Crossprod end////
////%Ptstart start////
Ptstart(Fig):=(
//help:Ptstart("gr1");
regional(tmp);
if(isstring(Fig),tmp=parse(Fig),tmp=Fig); // 16.01.21
tmp_1;
);
////%Ptstart end////
////%Ptend start////
Ptend(Fig):=(
//help:Ptend("gr1");
regional(tmp);
if(isstring(Fig),tmp=parse(Fig),tmp=Fig);
tmp_(length(tmp)); // 15.04.12
);
////%Ptend end////
////%Numptcrv start////
Numptcrv(Fig):=(
//help:Numptcrv("gr1");
regional(tmp);
if(isstring(Fig),tmp=parse(Fig),tmp=Fig); // 15.12.23
length(tmp);
);
////%Numptcrv end////
////%Ptcrv start////
Ptcrv(Num,Fig):=(
//help:Ptcrv(10,"gr1");
regional(tmp);
if(isstring(Fig),tmp=parse(Fig),tmp=Fig);
tmp_Num;
);
////%Ptcrv end////
////%Invert start////
Invert(Fig):=(
//help:Invert("gr1");
regional(tmp);
if(isstring(Fig),tmp=parse(Fig),tmp=Fig); // 16.01.27
reverse(tmp);
);
Invert(nm,Fig):=Invert(nm,Fig,["nodisp"]); // from 16.01.27
Invert(nm,Fig,options):=(
//help:Invert("1","gr1");
regional(name,tmp);
name="-inv"+nm;
tmp=Invert(Fig);
Listplot(name,tmp,options);
);// until 16.01.27
////%Invert end////
////%Paramoncrv start////
Paramoncrv(pP,Gdata):=Paramoncurve(pP,Gdata);//180723
////%Paramoncrv end////
////%ParamonCurve start////
ParamonCurve(point,Gdata):=(
//help:ParamonCurve(A,"gr1");//180723(3lines)
regional(Tmp,PtL,pP);
if(ispoint(point),pP=point.xy,pP=point);
// 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;
);
////%ParamonCurve end////
////%Pointoncrv start////
Pointoncrv(tT,PtL):=PointonCurve(tT,PtL);
////%Pointoncrv end////
////%PointonCurve start////
PointonCurve(tTorg,Gdata):=(
//help:PointonCurve(20.5,"gr1");
regional(tT,Out,Eps,nN,sS,Pa,Pb,PtL);
if(isstring(Gdata),PtL=parse(Gdata),PtL=Gdata);
if(length(PtL)==1,PtL=PtL_1);
tT=max([tTorg,1]); //18.01.04
tT=min([tT,length(PtL)]); //18.01.04
Eps=10^(-5); //18.01.04
nN=floor(tT+Eps);
sS=max([tT-nN,0]);
if(nN==length(PtL),
Out=PtL_nN;
,
Pa=PtL_nN;
Pb=PtL_(nN+1);
Out=(1-sS)*Pa+sS*Pb;
);
Out;
);
////%PointonCurve end////
////%Koutenseg start////
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,
dt=Crossprod(tmp3,tmp2);
ds=Crossprod(tmp1,tmp3);
t=dt/d;
s=ds/d;
pt=p1+v1*t;
out=[pt,t,s];
,
tmp1=Crossprod(p2-p1,v1)/|v1|; //18.01.05
out=[abs(tmp1)]; //18.01.05
);
out;
);
////%Intersectline end////
////%Intersectseg start////
Intersectseg(seg1,seg2):=Intersectseg(seg1,seg2,0.01);
Intersectseg(seg1org,seg2org,Eps1):=(
regional(Eps,seg1,seg2,p1,p2,q1,q2,t,s,pt,n,pts,out,dist,
tmp,tmp1,tmp2,tmp3);
Eps=10^(-4);
//Eps1=0.01;
seg1=seg1org;
seg2=seg2org;
if(isstring(seg1),seg1=parse(seg1));
if(isstring(seg2),seg2=parse(seg2));
out=[];
p1=seg1_1; q1=seg1_2;
p2=seg2_1; q2=seg2_2;
if((|q1-p1|Eps1,
out=[dist];
,
tmp=apply(pts,#_1_1);
tmp1=sum(tmp)/(length(pts));
tmp=apply(pts,#_1_2);
tmp2=sum(tmp)/(length(pts));
tmp3=[tmp1,tmp2];
tmp=Nearestpt(tmp3,seg1);
tmp1=tmp_2;
tmp=Nearestpt(tmp3,seg2);
tmp2=tmp_2;
out=[dist,tmp3,tmp1,tmp2];
);
);
);
);
out;
);
////%Intersectseg end////
////%Osplineseg start////
Osplineseg(list):=Osplineseg(list,[]);
Osplineseg(ptlist,optionsorg):=(
regional(tmp,tmp1,tmp2,list,ptL,ctrL,Eps,Eps0,
p0,p1,p2,p3,pQ,pR,cc,p01,p02,p11,p12,p21,p22,p31,p32,out);
Eps=10^(-2);
Eps0=10^(-6);
if(isstring(ptlist),list=parse(ptlist),list=ptlist);
p0=list_1; p1=list_2; p2=list_3; p3=list_4;
tmp=1+sqrt((1+Dotprod(p2-p0,p3-p1)/|p2-p0|/|p3-p1|)/2);
cc=4*|p2-p1|/3/(|p2-p0|+|p3-p1|)/tmp;
pQ=p1+cc*(p2-p0); // 15.09.21 // 16.08.16
pR=p2+cc*(p1-p3); // 16.08.16
ctrL=[pQ,pR];
options=optionorg;
options=concat(options,["Num=20","nodata"]);
out=Bezier("",[p1,p2],ctrL,options);
out;
);
////%Osplineseg end////
////%Intersectpartseg start////
Intersectpartseg(crv1,crv2,ii,jj,Eps1,Eps2):=(
Intersectpartseg(crv1,crv2,ii,jj,Eps1,Eps2,10*Eps2);
);
Intersectpartseg(crv1org,crv2org,ii,jj,Eps1,Eps2,Dist):=(
regional(crv1,crv2,Eps,dst,kk,ll,seg1,seg2,snang,
p0,p1,p2,p3,os1,os2,out,tmp,tmp1,tmp2,flg);
crv1=crv1org; crv2=crv2org;
if(isstring(crv1),crv1=parse(crv1));
if(isstring(crv2),crv2=parse(crv2));
Eps=10^(-4);
// Eps1=0.01;
// Eps2=0.1;
// Dist=10*Eps2;
out=[];
seg1=[crv1_ii,crv1_(ii+1)];
seg2=[crv2_jj,crv2_(jj+1)];
tmp1=seg1_2-seg1_1;
tmp2=seg2_2-seg2_1;
snang=abs(Crossprod(tmp1,tmp2))/(Norm(tmp1)*Norm(tmp2));
tmp=Intersectseg(seg1,seg2,Eps1);
dst=tmp_1;
if(dstDist-Eps),
os1=seg1;
,
p1=seg1_1; p2=seg1_2;
if(ii==1,
p3=crv1_3;
tmp=p2-p1;
tmp=(p1+p2)/2+[tmp_2,-tmp_1];
p0=Reflectpoint(p3,[(p1+p2)/2,tmp]);
,
if(ii==length(crv1)-1,
p0=crv1_(ii-1);
tmp=p2-p1;
tmp=(p1+p2)/2+[tmp_2,-tmp_1];
p3=Reflectpoint(p0,[(p1+p2)/2,tmp]);
,
p0=crv1_(ii-1); p3=crv1_(ii+2);
);
);
os1=Osplineseg([p0,p1,p2,p3]);
);
if((length(crv2)==2)%(|seg2_2-seg2_1|>Dist-Eps), //18.01.05
os2=seg2;
,
p1=seg2_1; p2=seg2_2;
if(jj==1,
p3=crv2_3;
tmp=p2-p1;
tmp=(p1+p2)/2+[tmp_2,-tmp_1];
p0=Reflectpoint(p3,[(p1+p2)/2,tmp]);
,
if(jj==length(crv2)-1,
p0=crv2_(jj-1);
tmp=p2-p1;
tmp=(p1+p2)/2+[tmp_2,-tmp_1];
p3=Reflectpoint(p0,[(p1+p2)/2,tmp]);
,
p0=crv2_(jj-1); p3=crv2_(jj+2);
);
);
os2=Osplineseg([p0,p1,p2,p3]);
);
tmp2=[];
forall(1..(length(os1)-1),kk,
forall(1..(length(os2)-1),ll,
seg1=[os1_kk,os1_(kk+1)];
seg2=[os2_ll,os2_(ll+1)];
tmp=Intersectseg(seg1,seg2,Eps1);
if((tmp_11), //18.02.06
if(tmp_10,
tmp=apply(tmp2,#_2_1);
tmp1=[sum(tmp)/length(tmp2)];
tmp=apply(tmp2,#_2_2);
tmp1=append(tmp1,sum(tmp)/length(tmp2));
out=[tmp1];
p1=crv1_ii; p2=crv1_(ii+1);
tmp=[Op(2,p2-p1),-Op(1,p2-p1)];
tmp=Intersectline(out_1,tmp,p1,p2-p1);
tmp=min([max([tmp_3,0]),1]);
out=[tmp1,ii+tmp];
p1=crv2_jj; p2=crv2_(jj+1);
tmp=[Op(2,p2-p1),-Op(1,p2-p1)];
tmp=Intersectline(out_1,tmp,p1,p2-p1);
tmp=min([max([tmp_3,0]),1]);
out=concat(out,[jj+tmp,dst,snang]);
);
);
);
out;
);
////%Intersectpartseg end////
////%Collectsameseg start////
Collectsameseg(ptdL):=(
regional(Eps,gL,rL,numL,ii,jj,flg,tmp,tmp1,tmp2,tmp1md,
dst,kk,s1,e1,s2,e2);
Eps00=10^(-8);
if(length(ptdL)==0,
gL=[];rL=[];
,
tmp1md=[ptdL_1];
rL=ptdL_(2..(length(ptdL)));
tmp1=tmp1md_1;
kk=floor(tmp1_2);
if(tmp1_2s1)&(tmp1s2)&(tmp20,
Eps1=options_1;
if(length(options)>1,
Eps2=options_2;
Dist=10*Eps2;
if(length(options)>2,
Dist=options_3;
);
);
);
if(isstring(crv1org),tmp1=parse(crv1org),tmp1=crv1org);//18.01.05from
if(isstring(crv2org),tmp2=parse(crv2org),tmp2=crv2org);
tmp1=apply(tmp1,LLcrd(#));
tmp2=apply(tmp2,LLcrd(#));
crv1=[tmp1_1];
forall(tmp1,
tmp=crv1_(length(crv1));
if(|tmp-#|>Eps,
crv1=append(crv1,#);
);
);
crv2=[tmp2_1];
forall(tmp2,
tmp=crv2_(length(crv2));
if(|tmp-#|>Eps,
crv2=append(crv2,#);
);
);//18.01.05until
if(crv1==crv2,
self=1;
,
self=0;
);
out=[];
forall(1..(length(crv1)-1),ii,
if(self==0,
loopL=1..(length(crv2)-1);
,
loopL=(ii+2)..(length(crv2)-1);
);
forall(loopL,jj,
tmp=Intersectpartseg(crv1,crv2,ii,jj,Eps1,Eps2,Dist);
if(length(tmp)>0,
if(length(out)==0,
out=[tmp];
,
tmp1=out_(length(out));
if(|tmp1_1-tmp_1|>Eps1,
out=append(out,tmp);
);
);
if(self==1,
tmp=[tmp_1,tmp_3,tmp_2,tmp_4,tmp_5];
out=append(out,tmp);
);
);
);
);
tmp2=out;
out=[];
tmp1=tmp2;
flg=0;
forall(1..(length(tmp2)),
if(flg==0,
tmp=Collectsameseg(tmp1);
out=append(out,tmp_1);
if(length(tmp_2)==0,
flg=1;
,
tmp1=tmp_2;
);
);
);
forall(1..(length(out)),ii,
tmp1=out_ii;
if(length(tmp1)==1,
out_ii=tmp1_1;
,
tmp=apply(tmp1,#_4);
dst=min(tmp);
tmp1=select(tmp1,#_4Eps,
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(sS0,
ch=reL_1;
options=remove(options,reL);
);
flg=0;//1807120
name="";
if(isstring(ptinfo),
tmp=Strsplit(ptinfo,"=");
name=Toupper(substring(tmp_1,0,1));
v=parse(tmp_2);
if(name=="X",
tmp1=Lineplot("",[[v,0],[v,1]],["nodata"]);
,
tmp1=Lineplot("",[[0,v],[1,v]],["nodata"]);
);
tmp=IntersectcurvesPp(pdstr,tmp1);
if(length(tmp)==0,
println(" Derivative cannot be found");
out="";
flg=1;
,
tmp=sort(tmp,[#_3]);
pt=tmp_ch_1;
par=tmp_ch_2;
);
,
pt=ptinfo_1;
par=ptinfo_2;
);
if(flg==0,
p0=Pointoncurve(par-1,pdstr);
p1=pt;
p2=Pointoncurve(par+1,pdstr);
p3=Pointoncurve(par+2,pdstr);
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);
m1=-p1_1+pQ_1;
m2=-p1_2+pQ_2;
if(name=="",out=[m1,m2]);
if(name=="X",out=m2/m1);
if(name=="Y",out=m1/m2);
);
out;
);
);//180720to
Derivative(fun,var,value,options):=(
//help:Derivative("x^3","x",2);
regional(eqL,method,eps,str,x1,x2,y1,y2,tmp,tmp1,tmp2);
method="N";
tmp=Divoptions(options);
eqL=tmp_5;
forall(eqL,
tmp=substring(#,"=");
tmp1=Toupper(substring(#,0,1));
tmp2=substring(#,tmp,tmp+1);
if(tmp1=="M",
method=Toupper(tmp2);
);
);
if(method=="D",
str="d(";
str=str+replace(fun,var,"#")+",";
str=str+value+")";
tmp=Pcrd([1,parse(str)]); // 14.11.08
tmp_2;
);
if(method=="N",
eps=10^(-6);
x1=max(XMIN,value-eps);
x2=min(XMAX,value+eps);
tmp=Assign(fun,[var,"("+format(x1,6)+")"]);//180408
y1=parse(tmp);
tmp=Assign(fun,[var,"("+format(x2,6)+")"]);//180408
y2=parse(tmp);
(y2-y1)/(x2-x1);
);
);
////%Derivative end////
////%Tangentplot start////
Tangentplot(nm,pdstr,ptinfo):=Tangentplot(nm,pdstr,ptinfo,[]); //180720
Tangentplot(nm,pdstr,ptinfo,optionsorg):=(
//help:Tangentplot("1",pdstr,"x=2");
//help:Tangentplot("1",pdstr,"y=3");
//help:Tangentplot("1",pdstr,[[1,2],20.5]);
//help:Tangentplot(Options2=[choice(1)]);
regional(name,v,pt,par,options,reL,ch,tmp,flg);
options=optionsorg; //1807120from
tmp=Divoptions(options);
reL=tmp_6;
ch=1;
if(length(reL)>0,
ch=reL_1;
options=remove(options,reL);
);
flg=0;//1807120to
name="";
if(isstring(ptinfo),
tmp=Strsplit(ptinfo,"=");
name=Toupper(substring(tmp_1,0,1));
v=parse(tmp_2);
if(name=="X",
tmp1=Lineplot("",[[v,0],[v,1]],["nodata"]);
,
tmp1=Lineplot("",[[0,v],[1,v]],["nodata"]);
);
tmp=IntersectcurvesPp(pdstr,tmp1);
if(length(tmp)==0,//1807120
println(" Derivative cannot be calculated");
flg=1;
,
tmp=sort(tmp,[#_3]);//1807120(3lines)
pt=tmp_ch_1;
par=tmp_ch_2;
);
,
pt=ptinfo_1;
par=ptinfo_2;
);
if(flg==0,
tmp=Derivative(pdstr,[pt,par]);
if(vname=="X",
Lineplot("tn"+nm,[pt,pt+tmp],options);
,
Lineplot("tn"+nm,[pt,pt+tmp],options);
);
);
);
////%Tangentplot end////
////%Integrate start////
Integrate(Arg1,Arg2):=( //180708from
if(isstring(Arg2),
Integratefn(Arg1,Arg2,[]);
,
Integratedt(Arg1,Arg2,[]);
);
);
Integrate(Arg1,Arg2,options):=(
if(isstring(Arg2),
Integratefn(Arg1,Arg2,options);
,
Integratedt(Arg1,Arg2,options);
);
);//180708to
////%Integrate end////
////%Integratedt start////
Integratedt(pltdata,range,options):=(
//help:Integrate("gr1",[1,3]);
//help:Integrate(options=["Rule=o"]);
regional(tmp,tmp1,eqL,Rule,pdata,Sm,ptP,ptQ,list,va1,va2);
tmp=Divoptions(options);
eqL=tmp_5;
Rule="o";
forall(eqL,
if(Toupper(substring(#,0,1))=="R",
tmp=indexof(#,"=");
Rule=substring(#,tmp,tmp+1);
);
);
if(Rule=="o",
Sm= IntegrateO(pltdata,range);
,
if(isstring(pltdata),pdata=parse(pltdata),pdata=pltdata);
if(MeasureDepth(pdata)==2,pdata=pdata_1);
va1=MeetCurve(pdata,range_1,0);
va2=MeetCurve(pdata,range_2,0);
list=select(pdata,(#_1>range_1 & #_1range_1 & #_10, // 16.09.25
if(list_1_1>list_(length(list))_1, //16.11.03
list=reverse(list);
// pmflg=pmflg*(-1);
);
);
list=apply(list,LLcrd(#));
list=concat([va1],list);
list=concat(list,[va2]);
Sm=0;
forall(1..(length(list)-1),
p1=list_#;
p2=list_(#+1);
if(#==1 % #==length(list)-1,
tmp1=(p1_2+p2_2)*(p2_1-p1_1)/2;
Sm=Sm+tmp1;
,
p0=list_(#-1);
p3=list_(#+2);
tmp=1+sqrt((1+Dotprod(p2-p0,p3-p1)/|p2-p0|/|p3-p1|)/2);
cc=4*|p2-p1|/3/(|p2-p0|+|p3-p1|)/tmp;
pQ=p1+cc*(p2-p0);
pR=p2+cc*(p1-p3);
p01=p1_1; p02=p1_2;
p31=p2_1; p32=p2_2;
p11=pQ_1; p12=pQ_2;
p21=pR_1; p22=pR_2;
tmp1=-6*p12*p01+3*p12*p21+3*p12*p31+6*p02*p11-
10*p02*p01+3*p02*p21+p02*p31-3*p22*p11-
3*p22*p01+6*p22*p31-3*p32*p11-p32*p01-
6*p32*p21+10*p32*p31;
tmp1=tmp1/20;
Sm=Sm+tmp1;
);
);
if(pmflg==-1,
Sm=-Sm;
);
Sm;
);
////%IntegrateO end////
////%FindareaP start////
FindareaP(pdstr):=( //180722
//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;
);
////%FindareaP end////
////%FindareaO start////
FindareaO(pdstr,len):=( // 18.10,13
regional(pd,p0,p1,p2,p3,s,tmp,Lflg);
if(isstring(pdstr),pd=parse(pdstr),pd=pdstr);
Lflg=0;
s=0;
forall(1..(length(pd)-1),
p1=pd_#;
p2=pd_(#+1);
if(Dist(p1,p2)len,p0=2*p1-p2);
if(#==length(pd)-1,p3=pd_2,p3=pd_(#+2));
if(Dist(p2,p3)>len,p3=2*p2-p1);
tmp=IntegrateO(p0,p1,p2,p3);
,
tmp=(p1_2+p2_2)*(p2_1-p1_1)/2;
);
s=s+tmp;
);
if(s<0,s=-s);
s;
);
////%FindareaO end////
////%Findarea start////
Findarea(pdstr):=Findarea(pdstr,[]);//180722from
Findarea(pdstr,options):=(
//help:Findarea("cr1");
//help:Findarea(options=["Len=1"]);
regional(tmp,tmp1,tmp2,eqL,way,len,out);
tmp=Divoptions(options);
eqL=tmp_5;
way="O";
len=1;
forall(eqL,
tmp=Strsplit(#,"=");
tmp1=Toupper(substring(tmp_1,0,1));
tmp2=tmp_2;
if(tmp1=="W",
way=Toupper(substring(tmp2,0,1));
);
if(tmp1=="L",//181013from
len=parse(tmp2);
);//181013to
);
if(way=="O",
out=FindareaO(pdstr,len);//181013
,
out=FindareaP(pdstr);
);
out;
);//180722to
////%Findarea end////
////%Findlength start////
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;
);
////%Findlength end////
////%Inversefun start////
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) % (va10,
Dop=","+substring(type,tmp1,length(type));
);
tmp1=Toupper(substring(type,0,3));
if(tmp1=="DR",
Drwline(name+Dop);
);
if(tmp1=="DA",
Dashline(name+Dop);
);
if(tmp1=="ID",
Invdashline(name+Dop);
);
if(tmp1=="DO",
Dottedline(name+Dop);
);
);
////%Setunitlen start////
Setunitlen():=(
println(ULEN);
);
Setunitlen(UI):=(
//help:Setunitlen("1.5cm");
regional(Dx,Dy,Sym,SL,OL,Is,VL,Ucode,ii,cha,
str,Unit,Valu,flg,tmp);
Dx=XMAX-XMIN;
Dy=YMAX-YMIN;
Sym=".0123456789 +-*/";
SL=Sym;
OL="+-*/";
if(length(UI)>0,
ULEN=UI;
GLIST=append(GLIST,"Setunitlen("+Dq+UI+Dq+")");//180513
);
Is=1;
VL="";
Ucode=ULEN;
flg=0;
forall(1..(length(Ucode)),ii,
if(flg==0,
cha=substring(Ucode,ii-1,ii);
if(indexof(SL,cha)>0,
if(indexof(OL,cha)>0,
tmp=substring(Ucode,Is-1,ii);
str=VL+tmp+cha;
VL=str;
Is=ii+1;
);
,
Unit=substring(Ucode,ii-1,ii+1);
str=substring(Ucode,Is-1,ii-1);
VL=VL+str;
flg=1;
);
);
);
Valu=parse(VL);
str=format(Valu,6);
ULEN=str+Unit;
if(Unit=="cm",MilliIn=1000/2.54*Valu);
if(Unit=="mm",MilliIn=1000/2.54*Valu/10);
if(Unit=="in",MilliIn=1000*Valu);
if(Unit=="pt",MilliIn=1000/72.27*Valu);
if(Unit=="pc",MilliIn=000/6.022*Valu);
if(Unit=="bp",MilliIn=1000/72*Valu);
if(Unit=="dd2",MilliIn=1000/1238/1157/72.27*Valu);
if(Unit=="cc",MilliIn=1000/1238/1157/72.27*12*Valu);
if(Unit=="sp",MilliIn=1000/72.27/65536*Valu/10);
MARKLEN=MARKLENNow*1000/2.54/MilliIn;
MEMORI=MEMORINow*1000/2.54/MilliIn;
);
////%Setunitlen end////
////%Setmarklen start////
Setmarklen(ratio):=(
//help:Setmarklen(0.2);
MARKLEN=ratio*0.2;//16.11.01
Com2nd("Setmarklen("+textformat(ratio,5)+")");
);
////%Setmarklen end////
////%Setorigin start////
Setorigin(point):=(
//help:Setorigin([1,2]);
Com2nd("Setorigin("+textformat(point,5)+")");
);
////%Setorigin end////
////%Fontsize start////
Fontsize(sizestr):=(
//help:Fontsize("s");
Com2nd("Fontsize('"+sizestr+"')");
);
////%Fontsize end////
////%Setpen start////
Setpen(width):=(
//help:Setpen(2);
PenThick=PenThickInit*width; // 16.04.09
Com2nd("Setpen("+text(width)+")");
);
////%Setpen end////
////%Setscaling start////
Setscaling(sc):=(
//help:Setscaling(3);
regional(tmp);
tmp=format(sc,5);
if(!islist(sc),
SCALEX=1;
SCALEY=sc;
Com0th("Setscaling("+tmp+")");
,
SCALEX=sc_1;
SCALEY=sc_2;
Com0th("Setscaling("+tmp_1+","+tmp_2+")");
);
Setwindow("Msg=no");
);
////%Setscaling end////
////%Lcrd start////
Lcrd(pt):=(
regional(tmp);
if(ispoint(pt),
tmp=[pt.x/SCALEX,pt.y/SCALEY];
,
tmp=pt;
);
tmp;
);
////%Lcrd end////
////%Pcrd start////
Pcrd(pt):=(
regional(tmp);
if(ispoint(pt),
tmp=re(pt.xy); // 15.07.24
,
tmp=[pt_1*SCALEX,pt_2*SCALEY];
);
tmp;
);
////%Pcrd end////
////%LLcrd start////
LLcrd(pt):=(
regional(tmp);
if(ispoint(pt),
tmp=pt.xy
,
tmp=pt;
);
tmp=[tmp_1/SCALEX,tmp_2/SCALEY];
tmp;
);
////%LLcrd end////
////%Doscaling start////
Doscaling(pltdata):=(
regional(Level,Out,gL,gr,tmp);
if(ispoint(pltdata) % isreal(pltdata_1),
gL=[[pltdata]];
Level=0;
,
if(ispoint(pltdata_1) % isreal(pltdata_1_1),
gL=[pltdata];
Level=1;
,
gL=pltdata;
Level=2;
);
);
Out=[];
forall(gL,gr,
tmp=apply(gr,Lcrd(#));
tmp=apply(tmp,LLcrd(#));
Out=concat(Out,[tmp]);
);
if(Level==0,
Out=Out_1_1;
);
if(Level==1,
Out=Out_1;
);
Out;
);
////%Doscaling end////
////%Unscaling start////
Unscaling(pltdata):=(
regional(Level,Out,gL,gr,tmp);
if(ispoint(pltdata) % isreal(pltdata_1),
gL=[[pltdata]];
Level=0;
,
if(ispoint(pltdata_1) % isreal(pltdata_1_1),
gL=[pltdata];
Level=1;
,
gL=pltdata;
Level=2;
);
);
Out=[];
forall(gL,gr,
tmp=apply(gr,Lcrd(#));
tmp=apply(tmp,LLcrd(#));
Out=concat(Out,[tmp]);
);
if(Level==0,
Out=Out_1_1;
);
if(Level==1,
Out=Out_1;
);
Out;
);
////%Unscaling end////
////%Setpt start////
Setpt(n):=Ptsize(n);
//help:Setpt(5);
Ptsize(n):=(
println("Setpt("+text(n)+")");
TenSize=TenSizeInit*n;
Com2nd("Setpt("+text(n)+")"); // 14.01.19
);
////%Setpt end////
////%Definecolor start////
Definecolor(name,data):=(
//help:Definecolor("mycolor",[1,1,1,0]);
regional(type,tmp);
if(length(data)>3,type="cmyk",type="rgb");
tmp=text(data);
tmp=substring(tmp,1,length(tmp)-1);
tmp="\definecolor{"+name+"}{"+type+"}{"+tmp+"}";
Texcom(tmp);
);
////%Definecolor end////
////%Setcolor start////
Setcolor(parorg):=( //180603renew
//help:Setcolor([1,0,0,1]);
//help:Setcolor([1,1,0]);
regional(par,cstr,tmp,tmp1);
par=parorg;
if(isstring(par),
if(par=="black",par=[0,0,0]);
if(par=="white",par=[1,1,1]);
if(par=="red",par=[1,0,0]);
if(par=="green",par=[0,1,0]);
if(par=="blue",par=[0,0,1]);
if(par=="cyan",par=[0,1,1]);
if(par=="magenta",par=[1,0,1]);
if(par=="yellow",par=[1,1,0]);
);
cstr=text(par);
cstr=substring(cstr,1,length(cstr)-1);
if(length(par)==3,
cstr="Texcom('\\color[rgb]{"+cstr+"}')";
KCOLOR=par;
);
if(length(par)==4,
cstr="Texcom('\\color[cmyk]{"+cstr+"}')";
tmp=ColorCmyk2Rgb(par);
KCOLOR=tmp;
);
Com2nd(cstr);
);
////%Setcolor end////
////%ColorRgb2Cmyk start////
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;
);
////%ColorRgb2Cmyk end////
////%ColorCmyk2Rgb start////
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;
);
////%ColorCmyk2Rgb end////
////%Colorrgbhsv start////
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];
);
////%Colorrgbhsv end////
////%Colorhsvrgb start////
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;
);
////%Colorhsvrgb end////
////%Colorrgbhsl start////
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];
);
////%Colorrgbhsl end////
////%Colorhslrgb start////
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];
);
////%Colorhslrgb end////
////%hue2rgb start////
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;
);
////%hue2rgb end////
////%Colorrgbhwb start////
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 ];
);
////%Colorrgbhwb end////
////%Colorhwbrgb start////
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;
);
////%Colorhwbrgb end////
////%Colorhslhsv start////
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;
);
////%Colorhslhsv end////
////%Colorcode start////
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;
);
////%Colorcode end////
////%Colorinfile start////
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;
);
////%GetLinestyle end////
////%Chunderscore start////
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;
);
////%Chunderscore end////
////%AddGraph start////
AddGraph(nm,pltdata):=AddGraph(nm,pltdata,[]);
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,color);
if(substring(nm,0,1)=="-",
name=substring(nm,1,length(nm));
,
name="ad"+nm;
);
tmp=Divoptions(options);
Ltype=tmp_1;
Noflg=tmp_2;
color=tmp_(length(tmp)-2);
opcindy=tmp_(length(tmp));
if(isstring(pltdata),
pdata=parse(pltdata)
,
if(!islist(pltdata),pdata=[pltdata],pdata=pltdata);
pdata=apply(pdata,parse(#));
); // 15.01.22
pdata=Flattenlist(pdata);
tmp1=[];
forall(pdata,tmp2,
tmp=apply(tmp2,Pcrd(#));
tmp1=append(tmp1,tmp);
);
if(length(tmp1)==1,tmp1=tmp1_1);
pdata=tmp1;
if(Noflg<3,
println("generate addgraph "+name);
tmp=name+"="+textformat(pdata,5);
parse(tmp);
if(isstring(pltdata), // 16.04.04 from
if(indexof(pltdata,"]")>0,
tmp1="list(Listplot("+substring(pltdata,1,length(pltdata));
tmp1=replace(tmp1,"]",",]");
,
tmp1="Listplot("+substring(pltdata,0,length(pltdata))+",]";
);
flg=0;
tmp2=[];
tmp3=0;
forall(1..(length(tmp1)),
if(flg==0,
tmp=indexof(substring(tmp1,tmp3,length(tmp1)),"_");
if(tmp==0,
flg=1;
,
tmp3=tmp3+tmp;
tmp=indexof(substring(tmp1,tmp3,length(tmp1)),",")-1;
tmp=substring(tmp1,tmp3,tmp3+tmp);
tmp2=append(tmp2,tmp);
);
);
);
forall(tmp2,
tmp1=replace(tmp1,"_"+#,"("+#+")");
);
tmp1=replace(tmp1,",]",")");
tmp1=replace(tmp1,",","),Listplot(");
if(indexof(pltdata,"[")>0,
tmp1=tmp1+")";
);
GLIST=append(GLIST,name+"="+tmp1);
,
if(MeasureDepth(pdata)==1,
tmp1=name+"=Listplot("+textformat(pdata,5)+")";
,
tmp1="list(";
forall(1..(length(pdata)),
tmp=name+"p"+textformat(#,5)+"=";
if(length(pdata_#)>1, // 15.01.22
tmp=tmp+"Listplot("+textformat(pdata_#,5)+")";
,
tmp=tmp+"Pointdata("+textformat(pdata_#_1,5)+")";
);
GLIST=append(GLIST,tmp);
tmp1=tmp1+name+"p"+textformat(#,5)+",";
);
tmp1=name+"="+substring(tmp1,0,length(tmp1)-1)+")";
);
GLIST=append(GLIST,tmp1);
);
); // 16.04.04 until
if(Noflg<2,
if(isstring(Ltype),
if((Noflg==0)&(color!=KCOLOR), //181020
Texcom("{");Com2nd("Setcolor("+color+")");//180722
);
Ltype=GetLinestyle(text(Noflg)+Ltype,name);
if((Noflg==0)&(color!=KCOLOR), //181020
Texcom("}");//180722
);
,
if(Noflg==1,Ltype=0);
);
GCLIST=append(GCLIST,[name,Ltype,opcindy]);
);
);
////%AddGraph end////
////%Joincrvs start////
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,color);
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;
color=tmp_(length(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),
if((Noflg==0)&(color!=KCOLOR), //181020
Texcom("{");Com2nd("Setcolor("+color+")");//180722
);
Ltype=GetLinestyle(text(Noflg)+Ltype,name);
if((Noflg==0)&(color!=KCOLOR), //181020
Texcom("}");//180722
);
,
if(Noflg==1,Ltype=0);
);
GCLIST=append(GCLIST,[name,Ltype,opcindy]);
);
PtL;
);
////%Joincrvs end////
////%Partcrv start////
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,color);
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;
color=tmp_(length(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),
if((Noflg==0)&(color!=KCOLOR), //181020
Texcom("{");Com2nd("Setcolor("+color+")");//180722
);
Ltype=GetLinestyle(text(Noflg)+Ltype,name);
if((Noflg==0)&(color!=KCOLOR), //181020
Texcom("}");//180722
);
,
if(Noflg==1,Ltype=0);
);
GCLIST=append(GCLIST,[name,Ltype,opcindy]);
);
Ans;
);
////%Partcrv end////
////%Opcrvs start////
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);
);
////%Opcrvs end////
////%Pointdata start////
Pointdata(nm,list):=Pointdata(nm,list,[]);
Pointdata(nm,listorg,options):=(
//help:Pointdata("1",[2,4],["Size=5"]);
//help:Pointdata("2",[[2,3],[4,1]]);
regional(list,name,nameL,ptlist,opstr,opcindy,
eqL,dispflg,size,thick,tmp,tmp1,tmp2,tmp3,Ltype,Noflg,color);
name="pt"+nm;
nameL=name+"L";
tmp=Divoptions(options);
Ltype=tmp_1;
Noflg=tmp_2;
eqL=tmp_5;
opcindy=tmp_(length(tmp));
opstr=tmp_(length(tmp)-1);
color=tmp_(length(tmp)-2);
size="";
dispflg="Y";
if(length(eqL)>0,
forall(eqL,
tmp=Strsplit(#,"=");
tmp1=Toupper(substring(tmp_1,0,1));
tmp2=Toupper(substring(tmp_2,0,1));
if(tmp1=="S",
size=tmp2;
opcindy=opcindy+",size->"+text(size); //181013
);
if(tmp1=="D", //181030from
dispflg=tmp2;
);
);
);
if(dispflg=="Y",
println("generate pointdata "+name);
); //181030to
if(isstring(listorg),list=parse(listorg),list=listorg); //17.10.23
if(MeasureDepth(list)==0,list=[list]);//180530
tmp=MeasureDepth(list);
if(tmp>0, // 2015.02.21
if(tmp==1,ptlist=list,ptlist=list_1);
tmp=apply(ptlist,[textformat(Pcrd(#),5)]);
tmp1=text(tmp);
tmp2=substring(tmp1,1,length(tmp1)-1);
tmp3=tmp1;
,
ptlist=list;
tmp1=textformat(Pcrd(ptlist),5);
tmp2=tmp1;
tmp3="["+tmp1+"]";
);
tmp=name+"="+tmp1;
parse(tmp);
tmp=nameL+"="+tmp3;
parse(tmp);
if(Noflg<3,
if(isstring(listorg), //17.10.23
tmp2=listorg;
,
tmp2="list("; //17.10.10from
forall(list,
if(isstring(#),
tmp=#;
,
if(ispoint(#),tmp=text(#),tmp=textformat(#,6));
);
tmp2=tmp2+tmp+",";
);
tmp2=substring(tmp2,0,length(tmp2)-1)+")"; //17.10.10until
);
GLIST=append(GLIST,name+"=Pointdata("+tmp2+")");
);
if(Noflg<2,
tmp=[nameL,0,opcindy];
GCLIST=append(GCLIST,tmp);
if(Noflg==0,
if(length(size)>0,
Com2nd("Setpt("+size+")");
);
thick=PenThick/PenThickInit; // 16.04.09 from
if(length(size)>0,tmp1=parse(size),tmp1=1);
tmp1=max(tmp1,1)/8;
Setpen(tmp1); // 16.04.09 until
if((Noflg==0)&(color!=KCOLOR), //181020
Texcom("{");Com2nd("Setcolor("+color+")");//180711
);
Com2nd("Drwpt(list("+name+")"+opstr+")");
if((Noflg==0)&(color!=KCOLOR), //181020
Texcom("}");//180711
);
Setpen(thick); // 16.04.09
if(length(size)>0,
Com2nd("Setpt("+textformat(TenSize/TenSizeInit,1)+")");
);
);
);
ptlist;
);
////%Pointdata end////
////%Listplot start////
Listplot(nm,list,options):=(
//help:Listplot([A,B]);
// help:Listplot(["A","B"]);
//help:Listplot("1",[[2,1],[3,3]]);
//help:Listplot(options2=["Msg=y","Cutend=n"]);//180719
regional(name,cutend,tmp,tmp1,tmp2,ptlist,Ltype,opcindy,Noflg,eqL,Msg,color);
if(substring(nm,0,1)=="-", // 16.01.27 from
name=substring(nm,1,length(nm));
,
name="sg"+nm;
); // until
tmp=Divoptions(options);
Ltype=tmp_1;
Noflg=tmp_2;
eqL=tmp_5;
color=tmp_(length(tmp)-2);
opcindy=tmp_(length(tmp));
Msg=1; // 15.09.17
cutend=[0,0];//180719
forall(eqL,
tmp=Strsplit(#,"=");
tmp1=Toupper(substring(tmp_1,0,1));
tmp2=tmp_2;
if(tmp1=="M",
tmp=Toupper(substring(tmp2,0,1));
if(tmp=="N", // 16.06.28
Msg=0;
);
);
if(tmp1=="C",//180719from
tmp2=replace(tmp2,"[","");
tmp2=replace(tmp2,"]","");
cutend=tokenize(tmp2,",");
if(length(cutend)==1,cutend=[cutend_1,cutend_1]);
);//180719to
);
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(#));
if(|cutend|>0,//180719from
tmp=ptlist_(length(ptlist))-ptlist_1;
tmp=tmp/|tmp|;
ptlist_1=ptlist_1+tmp*cutend_1;
ptlist_(length(ptlist))=ptlist_(length(ptlist))-tmp*cutend_2;
);//180719to
tmp=name+"="+textformat(ptlist,5);
parse(tmp);
GLIST=append(GLIST,name+"=Listplot("+textformat(ptlist,5)+")"); // 180719
);
if(Noflg<2,
if(isstring(Ltype),
if((Noflg==0)&(color!=KCOLOR), //181020
Texcom("{");Com2nd("Setcolor("+color+")");//180711
);
Ltype=GetLinestyle(text(Noflg)+Ltype,name);
if((Noflg==0)&(color!=KCOLOR), //181020
Texcom("}");//180711
);
,
if(Noflg==1,Ltype=0);
);
GCLIST=append(GCLIST,[name,Ltype,opcindy]);
);
tmp1=apply(list,Lcrd(#));
tmp1;
);
Listplot(Arg1,Arg2):=(
regional(name,list,options,str);
if(isstring(Arg1),
name=Arg1;
list=Arg2;
Listplot(name,list,[]);
,
list=Arg1;
options=Arg2;
name="";
forall(list, // 16.10.07from
name=name+#.name;
);// 16.10.07until
Listplot(name,list,options);
);
);
Listplot(list):=Listplot(list,[]);
////%Listplot end////
////%Lineplot start////
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,color);
name="ln"+nm;
Mag=100;
Semi="";
tmp=Divoptions(options);
Ltype=tmp_1;
Noflg=tmp_2;
color=tmp_(length(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),
if((Noflg==0)&(color!=KCOLOR), //181020
Texcom("{");Com2nd("Setcolor("+color+")");//180722
);
Ltype=GetLinestyle(text(Noflg)+Ltype,name);
if((Noflg==0)&(color!=KCOLOR), //181020
Texcom("}");//180722
);
,
if(Noflg==1,Ltype=0);
);
GCLIST=append(GCLIST,[name,Ltype,opcindy]);
);
Out;
);
Lineplot(Arg1,Arg2):=(
regional(name,list,options,str);
if(isstring(Arg1),
name=Arg1;
list=Arg2;
Lineplot(name,list,[]);
,
list=Arg1;
options=Arg2;
name="";
forall(list, // 16.10.07from
name=name+#.name;
);// 16.10.07until
Lineplot(name,list,options);
);
);
Lineplot(list):=Lineplot(list,[]);
////%Lineplot end////
////%Plotdata start////
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,Num,Ec,Dc,Fun,Exfun,x,Ke,Eps,Pa,
Ltype,Noflg,Inflg,Outflg,opstr,opcindy,color);
name="gr"+name1;
tmp=Divoptions(options);
Ltype=tmp_1;
Noflg=tmp_2;
Inflg=tmp_3;
Outflg=tmp_4;
opstr=tmp_(length(tmp)-1);
color=tmp_(length(tmp)-2);
opcindy=tmp_(length(tmp));
eqL=tmp_5;
Num=50;
Ec=[];
Exfun="";
Dc=1000;
forall(eqL,
tmp=indexof(#,"=");
tmp1=substring(#,tmp,length(#));
if(substring(#,0,1)=="N",
Num=parse(tmp1);
opstr=opstr+","+Dqq(#);
);
if(substring(#,0,1)=="E",
if(substring(tmp1,0,1)=="[", //180817from
Ec=parse(tmp1);
tmp1=replace(tmp1,"[","c(");
tmp1=replace(tmp1,",",".0,");
tmp1=replace(tmp1,"]",".0)");
opstr=opstr+","+Dqq("Exc="+tmp1); //180817to
,
Exfun=tmp1;
opstr=opstr+","+Dqq(#);
);
);
if(substring(#,0,1)=="D",
Dc=parse(tmp1);
opstr=opstr+","+Dqq(#);
);
);
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, //180817from
PdL=concat(PdL,["inf"]);
);
,
tmp=[xx,parse(Fun)];
if(length(PdL)>0,
tmp1=PdL_(length(PdL));
if(Norm(tmp,tmp1)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,
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|Eps, //180928from
Out=append(Out,pa);
); //180928to
,
Out=concat(Out,[["inf"],pa]);
);
);
);
);
);
);
tmp1=[];
tmp2=select(1..(length(Out)),Out_#==["inf"]);
tmp=1;
forall(tmp2,
if(#>tmp,
tmp1=concat(tmp1,[Out_(tmp..(#-1))])
);
tmp=#+1;
);
if(tmp0)&(ctr<1000),
ctr=ctr+1;
qd=PlotL_(length(PlotL));
ah=qd_1; ao=qd_(length(qd));
flg=0;
forall(1..(length(vL)),jj,
if(flg==0,
tmp1=Pdata_(vL_jj);
pp=tmp1_1; qq=tmp1_(length(tmp1));
if(Norm(pp-ao)0,
qd=concat(qd,tmp);
);
PlotL_(length(PlotL))=qd;
vL=remove(vL,[vL_jj]);
flg=1;
);
);
if(flg==0,
if(Norm(qq-ao)Eps,
if(vL_(kk+1)< -Eps,
tmp=1/(vL_kk-vL_(kk+1))*
(-vL_(kk+1)*pL_kk+vL_kk*pL_(kk+1));
qL=append(qL,tmp);
);
,
if(vL_(kk+1)>Eps,
tmp=1/(-vL_kk+vL_(kk+1))*
(vL_(kk+1)*pL_kk-vL_kk*pL_(kk+1));
qL=append(qL,tmp);
);
);
);
);
xval1=xval2;
eval11=eval21;
eval12=eval22;
if(length(qL)==2,
out=append(out,qL);
);
);
);
if(length(out)>0,
out=Connectseg(out);
);
if(length(out)==1,
out=out_1;
);
if(Noflg<3,
if(msg=="Y", //181112
println("generate Implicitplotdata "+name);
);
if(MeasureDepth(out)==1,
tmp1=apply(out,Pcrd(#));
,
tmp1=[];
forall(out,tmp2,
tmp1=append(tmp1,apply(tmp2,Pcrd(#)));
);
);
tmp=name+"="+textformat(tmp1,5);
parse(tmp);
tmp=name+"=Implicitplot('"+func+"','"+xrng+"','"+yrng+"'"+opstr+")";
GLIST=append(GLIST,tmp);
);
if(Noflg<2,
if(isstring(Ltype),
if((Noflg==0)&(color!=KCOLOR), //181020
Texcom("{");Com2nd("Setcolor("+color+")");//180722
);
Ltype=GetLinestyle(text(Noflg)+Ltype,name);
if((Noflg==0)&(color!=KCOLOR), //181020
Texcom("}");//180722
);
,
if(Noflg==1,Ltype=0);
);
GCLIST=append(GCLIST,[name,Ltype,opcindy]);
);
out;
);
////%Implicitplot end////
////%Circledata start////
Circledata(cenrad):=Circledata(cenrad,[]);
Circledata(para1,para2):=(
//help:Circledata([A,B],["Rng=[0,pi/2]"]);
//help:Circledata([A,B,C]);
regional(name,cenrad,options,str,n);
if(isstring(para1),
name=para1;
cenrad=para2;
options=[];
,
cenrad=para1;
options=para2;
name="";// 16.10.07from
forall(cenrad,
name=name+#.name;
);// 16.10.07until
);
Circledata(name,cenrad,options);
);
Circledata(nm,cenrad,options):=(
regional(name,Out,Ctr,Ptcir,ra,Num,Rg,opstr,opcindy,color,
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;
eqL=tmp_5;
color=tmp_(length(tmp)-2);
opstr=tmp_(length(tmp)-1);
opcindy=tmp_(length(tmp));
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),
if((Noflg==0)&(color!=KCOLOR), //181020
Texcom("{");Com2nd("Setcolor("+color+")");//180722
);
Ltype=GetLinestyle(text(Noflg)+Ltype,name);
if((Noflg==0)&(color!=KCOLOR), //181020
Texcom("}");//180722
);
,
if(Noflg==1,Ltype=0);
);
GCLIST=append(GCLIST,[name,Ltype,opcindy]);
);
Out;
);
////%Circledata end////
////%Framedata start////
Framedata():=Framedata(["dr"]);//16.10.29from
Framedata(list):=(
regional(pA,pB);
if(MeasureDepth(list)==0,
pA=LLcrd((SW+NE)/2); // 15.09.17
pB=LLcrd(NE);
Framedata("win",[pA,pB],list);
,
Framedata(list,[]);
);
);//16.10.29until
Framedata(Arg1,Arg2):=(
regional(name,list,options,str);
if(isstring(Arg1),
name=Arg1;
list=Arg2;
Framedata(name,list,[]);
,
list=Arg1;
options=Arg2;
name="";// 16.10.07from
forall(list,
name=name+#.name;
);// 16.10.07until
Framedata(name,list,options);
);
);
Framedata(nm,list,optionsorg):=(
//help:Framedata();
//help:Framedata([C,A]);
//help:Framedata("1",[C,A]);
//help:Framedata("1",[A,B],["corner"]);
//help:Framedata("1",[C,dx,dy]);
regional(name,options,Out,tmp,tmp1,pB,x1,x2,y1,y2,dx,dy,
opcindy,Ltype,Noflg,strL,type,cent,dx,dy,color);
name="fr"+nm;
options=optionsorg;
tmp=Divoptions(options);
Ltype=tmp_1;
Noflg=tmp_2;
strL=tmp_7; //180801from
type="center";
forall(strL,
if(Toupper(#)=="CORNER",
type="corner";
options=remove(options,[#]);
);
if(Toupper(#)=="CENTER",
type="center";
options=remove(options,[#]);
);
);
if(type=="corner",
Out=Framedata2(nm,list,options);
, //180801to
color=tmp_(length(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),
if((Noflg==0)&(color!=KCOLOR), //181020
Texcom("{");Com2nd("Setcolor("+color+")");//180722
);
Ltype=GetLinestyle(text(Noflg)+Ltype,name);
if((Noflg==0)&(color!=KCOLOR), //181020
Texcom("}");//180722
);
,
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,color);
name="fr"+nm;
tmp=Divoptions(options);
Ltype=tmp_1;
Noflg=tmp_2;
color=tmp_(length(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),
if((Noflg==0)&(color!=KCOLOR), //180904
Texcom("{");Com2nd("Setcolor("+color+")");//180722
);
Ltype=GetLinestyle(text(Noflg)+Ltype,name);
if((Noflg==0)&(color!=KCOLOR), //180904
Texcom("}");//180722
);
,
if(Noflg==1,Ltype=0);
);
GCLIST=append(GCLIST,[name,Ltype,opcindy]);
);
Out;
);
////%Framedata end////
////%Framedata2 start////
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);
);
////%Framedata2 end////
////%Ovaldata start////
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,color);
name="ov"+nm;
tmp=Divoptions(options);
Ltype=tmp_1;
Noflg=tmp_2;
color=tmp_(length(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];
tmp2=Listplot("1",[Ctr+[Dx-Rc,Dy],Ctr+[0,Dy]],
["nodata"]);
tmp3=Listplot("2",[Ctr+[Dx,0],Ctr+[Dx,Dy-Rc]],
["nodata"]);
if(Rc>0, //180624from
tmp1=Circledata("1",[Point,Point+[Rc,0]],
["Rng=[0,pi/2]","Num=10","nodata"]);
Graph=Joincrvs("1",[tmp3,tmp1,tmp2],["nodata"]);
,
Graph=Joincrvs("1",[tmp3,tmp2],["nodata"]);
); //180624to
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),
if((Noflg==0)&(color!=KCOLOR), //180904
Texcom("{");Com2nd("Setcolor("+color+")");//180722
);
Ltype=GetLinestyle(text(Noflg)+Ltype,name);
if((Noflg==0)&(color!=KCOLOR), //180904
Texcom("}");//180722
);
,
if(Noflg==1,Ltype=0);
);
GCLIST=append(GCLIST,[name,Ltype,opcindy]);
tmp1=apply(Graph,Pcrd(#));
tmp=name+"="+textformat(tmp1,5);
parse(tmp);
tmp=textformat(Ctr,5)+","+textformat(Dx,5)+","+textformat(Dy,5);
);
Graph;
);
////%Ovaldata end////
////%Segmark start////
Segmark(nm,ptlist):=Drawsegmark(nm,ptlist,[]);
Segmark(nm,ptlist,options):=Drawsegmark(nm,ptlist,options);//180704
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,color, //180704
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;
color=tmp1_(length(tmp1)-2);//180704
forall(eqL,
tmp=indexof(#,"=");
tmp1=substring(#,tmp,length(#));
tmp1=parse(tmp1);
tmp=Toupper(substring(#,0,1));
if(tmp=="S",
size=size*tmp1;
);
if(tmp=="W",
wid=wid*tmp1;
);
if(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],["Color="+text(color)]);//180704
);
if(tp==2,
tmp1=mid+wid*dir+size*nor;
tmp2=mid+wid*dir-size*nor;
Listplot(name+"r",[tmp1,tmp2],["Color="+text(color)]);//180704
tmp1=mid-wid*dir+size*nor;
tmp2=mid-wid*dir-size*nor;
Listplot(name+"l",[tmp1,tmp2],["Color="+text(color)]);//180704
);
if(tp==3,
tmp1=mid;
tmp2=mid+size*dir;
Circledata(name,[tmp1,tmp2],["Color="+text(color)]);//180704
);
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],["Color="+text(color)]);//180704
);
);
////%Segmark end////
////%Parabolaplot start////
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));
);
////%Parabolaplot end////
////%Ellipseplot start////
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));
);
////%Ellipseplot end////
////%Hyperbolaplot start////
Hyperbolaplot(nm,ptlist):=Hyperbolaplot(nm,ptlist,"[-5/2,5/2]",[]);
Hyperbolaplot(nm,ptlist,Arg):=(
regional(rng,options);
if(isstring(Arg),
rng=Arg;
options=[];
,
rng="[-5/2,5/2]";
options=Arg;
);
Hyperbolaplot(nm,ptlist,rng,options);
);
Hyperbolaplot(nm,ptlist,rng,optionsorg):=(
//help:Hyperbolaplot("1",[A,B,C],["Num=200"]):
//help:Hyperbolaplot("1",[A,B,C],"[-5,5]",["Asy=do"]);
regional(pA,pB,d,angle,f,a,b,pM,eqL,options,opasy,tmp,tmp1,tmp2);
tmp=Divoptions(optionsorg);
eqL=tmp_5;
options=optionsorg;
opasy=[];
forall(eqL,
if(Toupper(substring(#,0,1))=="A",
tmp=indexof(#,"=");
opasy=[substring(#,tmp,length(#))];
options=remove(options,[#]);
);
);
pA=Lcrd(ptlist_1);
tmp1=Lcrd(ptlist_2);
if(ispoint(ptlist_3),
tmp2=Lcrd(ptlist_3);
d=abs(|tmp2-pA|-|tmp2-tmp1|);
,
d=ptlist_3;
);
tmp=(tmp1-pA)/|tmp1-pA|;
if(tmp_2>=0,
angle=arccos(tmp_1);
,
if(tmp_1>=0,
angle=arcsin(tmp_2);
,
angle=-arccos(tmp_1);
);
);
pB=Rotatepoint(tmp1,-angle,pA);
f=|pB_1-pA_1|/2;
a=d/2;
b=sqrt(f^2-d^2/4);
pM=(pA+pB)/2;
tmp="["+format(pM_1,5)+"+"+format(a,5)+"*(exp(t)+exp(-t))/2,";
tmp=tmp+format(pM_2,5)+"+"+format(b,5)+"*(exp(t)-exp(-t))/2]";
Paramplot(nm+"hyp1",tmp,"t="+rng,append(options,"nodisp"));
tmp="["+format(pM_1,5)+"-"+format(a,5)+"*(exp(t)+exp(-t))/2,";
tmp=tmp+format(pM_2,5)+"+"+format(b,5)+"*(exp(t)-exp(-t))/2]";
Paramplot(nm+"hyp2",tmp,"t="+rng,append(options,"nodisp"));
Rotatedata(nm+"hyp1","gp"+nm+"hyp1",angle,append(options,pA));//180408
Rotatedata(nm+"hyp2","gp"+nm+"hyp2",angle,append(options,pA));//180408
if(length(opasy)>0,
Lineplot(nm+"asy1",[pM+[a,b],pM+[-a,-b]],["nodisp"]);
Lineplot(nm+"asy2",[pM+[-a,b],pM+[a,-b]],["nodisp"]);
Rotatedata(nm+"asy1","ln"+nm+"asy1",angle,append(opasy,pA));//180408
Rotatedata(nm+"asy2","ln"+nm+"asy2",angle,append(opasy,pA));//180408
);
);
////%Hyperbolaplot end////
////%Polygonplot start////
Polygonplot(nm,ptlist,number):=Polygonplot(nm,ptlist,number,[]);
Polygonplot(nm,ptlist,number,optionorg):=(
//help:Polygonplot("1",[A,B],12);
//help:Polygonplot("1",[A,B],12,["Geo=n"]);
regional(options,eqL,geo,rr,pA,pB,ptL,angle,tmp,tmp1,tmp2);
println([4573,ptlist]);
geo="N"; //180708from
options=optionorg;
tmp=Divoptions(options);
eqL=tmp_5;
forall(eqL,
tmp=Strsplit(#,"=");
tmp1=Toupper(substring(tmp_1,0,1));
tmp2=tmp_2;
if(tmp1=="G",
geo=Toupper(substring(tmp2,0,1));
options=remove(options,[#]);
);
); //180708to
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");
);
);
////%Putintersect end////
////%Arrowheaddata start////
Arrowheaddata(point,direction):=Arrowheaddata(point,direction,[]);
Arrowheaddata(point,direction,options):=(
// help:Arrowheaddata(A,B);
// help:Arrowheaddata(options=[size(1),angle(18), "Coord=phy"]);
regional(list,ookisa,hiraki,Houkou,Str,Flg,Ev,Nv,pA,pB,
reL,eqL,coord,pP,rF,gG,Flg,Nj,Eps,scx,scy,tmp,tmp1,tmp2);
Eps=10^(-3);
coord="P";
ookisa=0.2*YaSize;
hiraki=YaAngle;
iti=1;
kiri=0;
Futosa=0;
Str=YaStyle;
tmp=Divoptions(options);
eqL=tmp_5; //181018from
reL=tmp_6;
forall(eqL,
tmp=Strsplit(#,"=");
tmp1=substring(tmp_1,0,1);
tmp2=substring(tmp_2,0,1);
if(Toupper(tmp1)=="C",
coord=Touppera(tmp2);
);
); //181018to
forall(1..(length(reL)), //181110from
tmp=reL_#;
if(#==1,ookisa=ookisa*tmp);
if(#==2,
if(tmp<5,
hiraki=hiraki*tmp;
,
hiraki=tmp;
);
);
); //181110to
Flg=0;
hiraki=hiraki*pi/180;
if(ispoint(direction),Houkou=direction.xy); //181018
if(isstring(direction),Houkou=parse(direction),Houkou=direction);
if(MeasureDepth(Houkou)==2,Houkou=Houkou_1);
if(coord=="P",//181018from
if(ispoint(point),pP=point.xy,pP=point);
,
pP=Pcrd(point);
if(!islist(Houkou_1),
Houkou=Pcrd(Houkou);
,
Houkou=apply(Houkou,Pcrd(#));
);
);//181018to
if(islist(Houkou_1),
tmp=Nearestpt(pP,Houkou);
pP=tmp_1;
rF=floor(tmp_2);
if(rF==1,
if(|Ptend(Houkou)-Ptstart(Houkou)|0,
Houkou=pP-Pcrd(tmp_1_1);
Flg=1;
);
);
);
if(Flg==0,
println("Arrowhead may be too large (no intersect)");
Flg=2;
);
);
if(Flg<2,
Ev=-1/|Houkou|*Houkou;
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;
);
);
////%Arrowheaddata end////
////%Arrowhead start////
Arrowhead(point,Houkou):=Arrowhead(point,Houkou,[]); //181018from
Arrowhead(Arg1,Arg2,Arg3):=(
if(isstring(Arg1),
Arrowhead(Arg1,Arg2,Arg3,[]);
,
Arrowhead(text(ArrowheadNumber),Arg1,Arg2,Arg3);
);
);
Arrowhead(nm,point,direction,optionsorg):=(//181018from
//help:Arrowhead("1",B,B-A);
//help:Arrowhead(options=[size(1),angle(18),position(1),cut(0),"Coor=P(L)"]);
//help:Arrowhead(A,"gr1");
regional(name,Ltype,Noflg,reL,opstr,opcindy,color,eqL,coord,
options,cut,pP,Houkou,ptstr,hostr,tmp,tmp1,tmp2,list);
name="arh"+nm; //181018
ArrowheadNumber=ArrowheadNumber+1;
options=optionsorg;
tmp=Divoptions(options);
Ltype=tmp_1;
Noflg=tmp_2;
reL=tmp_6;
color=tmp_(length(tmp)-2);
eqL=tmp_5;
coord="P";
forall(eqL,
tmp=Strsplit(#,"=");
tmp1=substring(tmp_1,0,1);
tmp2=substring(tmp_2,0,1);
if(Toupper(tmp1)=="C",
coord=Toupper(tmp2);
options=remove(options,[#]);
);
); //181018to
cut=0; //181110from
if(length(reL)>3,
cut=reL_4;
tmp=reL_(1..3);
options=remove(options,reL);
options=concat(options,tmp);
); //181110from
if(ispoint(direction),Houkou=direction.xy); //181018
if(isstring(direction),Houkou=parse(direction),Houkou=direction);
if(MeasureDepth(Houkou)==2,Houkou=Houkou_1);
if(coord=="P",//181018from
if(ispoint(point),pP=point.xy,pP=point);
,
pP=Pcrd(point);
if(!islist(Houkou_1),
Houkou=Pcrd(Houkou);
,
Houkou=apply(Houkou,Pcrd(#));
);
);//181018to
list=Arrowheaddata(pP,Houkou,options);
if(!Inwindow(LLcrd(pP)),Noflg=2);//181018
if(Noflg<3,
tmp1=apply(list,LLcrd(#));
tmp=name+"="+textformat(tmp1,5);
parse(tmp);
);
if(Noflg<2,
if(isstring(Ltype),
Listplot("-arh"+nm,apply(list,LLcrd(#)),concat(options,["notex","Msg=n"]));
);
);
if(Noflg==0,
tmp=Divoptions(options);
opstr=tmp_(length(tmp)-1);
opstr=opstr+","+Dqq("Cut="+format(cut,5));
ptstr=Textformat(LLcrd(pP),5);
if(isstring(direction), //181019
hostr=direction;
,
if(!islist(Houkou_1),
hostr=format(LLcrd(Houkou),5);
,
hostr=format(apply(Houkou,LLcrd(#)),5);
);
);
if((Noflg==0)&(color!=KCOLOR), //180904
Texcom("{");Com2nd("Setcolor("+color+")");//180722
);
Com2nd("Arrowhead("+ptstr+","+hostr+opstr+")");
if((Noflg==0)&(color!=KCOLOR), //180904
Texcom("}");//180722
);
);
);
////%Arrowhead end////
////%Arrowdata start////
Arrowdata(ptlist):=Arrowdata(ptlist,[]); //181110from
Arrowdata(Arg1,Arg2):=(
regional(name);
if(isstring(Arg1),
Arrowdata(Arg1,Arg2,[]);
,
name="";
forall(Arg1,
if(ispoint(#),
name=name+text(#);
);
);
Arrowdata(name,Arg1,Arg2);
);
); //181110from
Arrowdata(nm,ptlist,optionsorg):=(
//help:Arrowdata("1",[A,B]);
//help:Arrowdata("1",[pt1,pt2]);
//help:Arrowdata(options=[size(1),angle(18),pos(1),cut(0),"Cutend=0,0","Coord=p/l"]);
regional(options,Ltype,Noflg,name,opstr,opcindy,eqL,reL,strL,color,size,coord,
flg,lineflg,cutend,tmp,tmp1,tmp2,pA,pB,angle,segpos,cut);
name="ar"+nm;
options=optionsorg;
tmp=Divoptions(options);
Ltype=tmp_1;
Noflg=tmp_2;
eqL=tmp_5;
reL=tmp_6;
strL=tmp_7;
color=tmp_(length(tmp)-2);
opstr=tmp_(length(tmp)-1);
opcindy=tmp_(length(tmp));
size=1; // 15.06.11
angle=18;
segpos=1;
cut=0; //181110from
forall(1..(length(reL)),
tmp=reL_#;
if(#==1,size=tmp);
if(#==2,angle=tmp);
if(#==3,
segpos=tmp;
);
if(#==4,cut=tmp);
); //181110to
lineflg=0;
if(contains(strL,"l")%contains(strL,"L"),
lineflg=1;
);//181018from
options=remove(options,strL);
cutend=[0,0];//180719
coord="P";//181018
forall(eqL,
tmp=Strsplit(#,"=");
tmp1=Toupper(substring(tmp_1,0,2));
tmp2=tmp_2;
if(tmp1=="CU",//180719from
tmp2=replace(tmp2,"[","");
tmp2=replace(tmp2,"]","");
cutend=tokenize(tmp2,",");
if(length(cutend)==1,cutend=[cutend_1,cutend_1]);
options=remove(options,[#]);
);
if(tmp1=="CO",//181018from
coord=Toupper(substring(tmp2,0,1));
options=remove(options,[#]);
);
);
if(|cutend|>0,//181110from
tmp=ptlist_2-ptlist_1;
tmp=tmp/|tmp|;
ptlist_1=ptlist_1+tmp*cutend_1;
ptlist_2=ptlist_2-tmp*cutend_2;
);//181110to
if(coord=="P",
pA=ptlist_1; pB=ptlist_2;
if(ispoint(pA),pA=pA.xy);
if(ispoint(pB),pB=pB.xy);
,
pA=Pcrd(ptlist_1); pB=Pcrd(ptlist_2);
);//181018to
if(Noflg<3,
println("generate Arrowdata "+name);
tmp=name+"="+Textformat([pA,pB],5);
parse(tmp);
if(lineflg==0, // 16.04.09 from
tmp=pA-0.2*size/2*(pB-pA)/|pB-pA|; // 15.06.11
,
tmp=pB;
); // 16.04.09 until
tmp=format([LLcrd(pA),LLcrd(tmp)],6);
);
if(Noflg<2,
if(isstring(Ltype),
Listplot("-ar"+nm,[LLcrd(pA),LLcrd(pB)],append(options,"Msg=n"));
Arrowhead(nm,pA+segpos*(pB-pA),pB-pA,options); //181110
,
if(Noflg==1,Ltype=0);
);
);
[Lcrd(pA),Lcrd(pB)];
);
////%Arrowdata end////
////%Anglemark start////
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);
);
); // to
Anglemark(nm,plist,options):=(
//help([A,B,C],["E=\theta",2]);
//help:Anglemark("1",[A,B,C],["E=1.2,\theta",2]);
//help:Anglemark("1",[A,B,2*pi]);
//help:Anglemark(options=[size,"E/L=(sep,)letter"]);
regional(name,Out,pB,pA,pC,Ctr,ra,sab,sac,ratio,opstr,Bname,Bpos,color,
Brat,tmp,tmp1,tmp2,Num,opcindy,Ltype,eqL,realL,Rg,Th,Noflg);
name="ag"+nm;
Bpos="md"+name;
ra=0.5;
tmp=Divoptions(options);
Ltype=tmp_1;
Noflg=tmp_2;
// opstr=tmp_(length(tmp)-1);//180530
color=tmp_(length(tmp)-2);
opcindy=tmp_(length(tmp));
eqL=tmp_5;
realL=tmp_6;
Bname="";
Brat=1.2; //180530
Num=20;
opstr="";
if(length(realL)>0,
ra=realL_1*ra;
opstr=","+text(realL_1);//180530
);
forall(eqL,
if(substring(#,0,1)=="L",Bname="Letter(");
if(substring(#,0,1)=="E",Bname="Expr(");
Bname=Bname+Bpos+","+Dq+"c"+Dq+","+Dq;//16.10.29
tmp=substring(#,indexof(#,"="),length(#));
tmp1=indexof(tmp,",");
Bname=Bname+substring(tmp,tmp1,length(tmp))+Dq+")";
if(tmp1>0,
Brat=parse(substring(tmp,0,tmp1-1));
);
);
pB=Lcrd(plist_1); pA=Lcrd(plist_2); sab=pB-pA;
Ctr=pA;
if((length(plist_3)>1)%(ispoint(plist_3)), //180506from
pC=Lcrd(plist_3);
sac=pC-pA;
Rg=[arctan2(sab)+0,arctan2(sac)+0];
,
sac=pB-pA;
Rg=[arctan2(sab)+0,arctan2(sab)+plist_3];
); //180506to
if(Rg_2min(|sab|,|sac|), // 16.12.29
println(" segments too short");
,
forall(0..Num,
Th=Rg_1+#*(Rg_2-Rg_1)/Num;
Out=append(Out,Ctr+ra*[cos(Th),sin(Th)]);
);
Th=(Rg_1+Rg_2)/2; //16.10.31from(moved)
tmp1=Ctr+Brat*ra*[cos(Th),sin(Th)];
tmp="Defvar("+Dq+Bpos+"=";
tmp=tmp+textformat(tmp1,5)+Dq+");";
parse(tmp);//16.10.31until(moved)
if(length(Bname)>0,
parse(Bname);
);
if(Noflg<3,
println("generate anglemark "+name+" and "+Bpos);
tmp1=apply(Out,Pcrd(#));
tmp=name+"="+textformat(tmp1,5);
parse(tmp);
tmp=textformat(plist,5);
tmp1=substring(tmp,1,length(tmp)-1);
tmp=name+"=Anglemark("+tmp1+opstr+")";
GLIST=append(GLIST,tmp);
);
if(Noflg<2,
if(isstring(Ltype),
if((Noflg==0)&(color!=KCOLOR), //180904
Texcom("{");Com2nd("Setcolor("+color+")");//180722
);
Ltype=GetLinestyle(text(Noflg)+Ltype,name);
if((Noflg==0)&(color!=KCOLOR), //180904
Texcom("}");//180722
);
,
if(Noflg==1,Ltype=0);
);
GCLIST=append(GCLIST,[name,Ltype,opcindy]);
);
);
Out;
);
////%Anglemark end////
////%Paramark start////
Paramark(plist):=Paramark(plist,[]);
Paramark(Arg1,Arg2):=( // 17.03.27 from
regional(nm,plist,options,tmp);
if(isstring(Arg1),
nm=Arg1;
plist=Arg2;
Paramark(nm,plist,[]);
,
plist=Arg1;
options=Arg2;
tmp=textformat(plist,5);
tmp=replace(tmp,",","");
nm=substring(tmp,1,length(tmp)-1);
Paramark(nm,plist,options);
);
);// to
Paramark(nm,plist,options):=(
//help:Paramark([A,B,C],["E=\theta"]);
//help:Paramark("1",[p1,p2,p3],["E=\theta"]);
regional(name,Out,pB,pA,pC,ra,sab,sac,ratio,opstr,Bname,Bpos,
Brat,tmp,tmp1,tmp2,Ltype,Noflg,eqL,realL,opcindy,color);
name="pm"+nm;
tmp=Divoptions(options);
Ltype=tmp_1;
Noflg=tmp_2;
color=tmp_(length(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+Bpos+","+Dq+"c"+Dq+","+Dq; //180705
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),
if((Noflg==0)&(color!=KCOLOR), //180904
Texcom("{");Com2nd("Setcolor("+color+")");//180722
);
Ltype=GetLinestyle(text(Noflg)+Ltype,name);
if((Noflg==0)&(color!=KCOLOR), //180904
Texcom("}");//180722
);
,
if(Noflg==1,Ltype=0);
);
GCLIST=append(GCLIST,[name,Ltype,opcindy]);
);
Out;
);
////%Paramark end////
////%MakeBowdata start////
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];
);
////%MakeBowdata end////
////%Bowdata start////
Bowdata(plist):=Bowdata(plist,[]);
Bowdata(plist,options):=(
regional(nm,tmp);
if(islist(plist), // 16.12.04from
tmp=textformat(plist,5);
tmp=replace(tmp,",","");
nm=substring(tmp,1,length(tmp)-1);
Bowdata(nm,plist,options);
,
nm=plist;
tmp=options;
Bowdata(nm,tmp,[]);
); // 16.12.04until
);
Bowdata(nm,plist,options):=(
//help:Bowdata([C,A],[2,1.2,"Expr=10","da"]);
//help:Bowdata([A,B],["Expr=t0n3,a"]);
//help:Bowdata([A,B],["Exprrot=t0n2r,a"]);
regional(name,Out,pB,pA,pC,ra,tmp,tmp1,tmp2,Ltype,eqL,realL,
Bname,Bpos,Th,Cut,Num,Hgt,opstr,opcindy,Ydata,pC,
Th1,Th2,Noflg,Bops,Bmov,Tmov,Nmov,rev,color);
name="bw"+nm;
tmp=Divoptions(options);
Ltype=tmp_1;
Noflg=tmp_2;
color=tmp_(length(tmp)-2);
opstr=tmp_(length(tmp)-1);
opcindy=tmp_(length(tmp));
eqL=tmp_5;
realL=tmp_6;
pA=Lcrd(plist_1); pB=Lcrd(plist_2);
Hgt=1/2*|pB-pA|*0.2;
Cut=0;
Num=24;
Bname="";
Tmov=0;//16.11.01from
Nmov=0;
Bmov="";
rev=0;//16.11.01until
if(length(realL)>0,
Hgt=realL_1*Hgt; // 15.04.12
if(length(realL)>1,Cut=realL_2);
);
forall(eqL,
tmp=substring(#,0,1);
if(tmp=="L" % tmp=="l",
if(indexof(#,"rot")>0,
Bname="Letterrot(";
,
Bname="Letter(";
);
);
if(tmp=="E" % tmp=="e",
if(indexof(#,"rot")>0,
Bname="Exprrot(";
,
Bname="Expr(";
);
);
tmp=indexof(#,"=");
Bops=substring(#,tmp,length(#)); // 16.11.01
);
Ydata=MakeBowdata(pA,pB,Hgt);
pC=Ydata_1;
ra=Ydata_2;
Th=(Ydata_3+Ydata_4)*0.5;
BOWMIDDLE=[pC_1+ra*cos(Th),pC_2+ra*sin(Th)];
Bpos="md"+name; // 16.10.31from(moved)
tmp="Defvar("+Dq+Bpos+"="+textformat(BOWMIDDLE,5)+Dq+");";
parse(tmp);// 16.10.31until(moved)
if(length(Bname)>0, //16.11.01from
tmp=indexof(Bops,",");
if(tmp>0,
tmp1=substring(Bops,0,tmp-1);
if(length(tmp1)>=4 & substring(tmp1,0,1)=="t" & indexof(tmp1,"n")>0,
Bmov=tmp1;
Bops=substring(Bops,tmp,length(Bops));
);
);
if(length(Bmov)>0,
tmp=indexof(Bmov,"t");
if(tmp>0,
tmp1=indexof(Bmov,"n");
Tmov=parse(substring(Bmov,tmp,tmp1-1));
tmp=indexof(Bmov,"r");
if(tmp>0,
Nmov=parse(substring(Bmov,tmp1,tmp-1));
rev=1;
,
Nmov=parse(substring(Bmov,tmp1,length(Bmov)));
);
);
);
Bname=Bname+Bpos;//16.11.01
if(abs(Tmov)+abs(Nmov)>0,
tmp=Pcrd(pA)-Pcrd(pB);
tmp1=1/Norm(tmp)*tmp;
tmp2=[-tmp1_2,tmp1_1];
tmp=MARKLEN*(Tmov*tmp1+Nmov*tmp2);
tmp=LLcrd(tmp);
Bname=Bname+"+"+text(tmp);
);
Bname=Bname+",";
if(indexof(Bname,"rot")>0,
if(rev==1,tmp=pB-pA,tmp=pA-pB);
Bname=Bname+textformat(tmp,5)+",";
,
Bname=Bname+Dq+"c"+Dq+",";
);
Bname=Bname+Dq+Bops+Dq+")";
parse(Bname);
);//16.11.01until
if(Cut==0,
Th1=Ydata_3;
Th2=Ydata_4;
Out=[];
forall(0..Num,
tmp=Th1+#*(Th2-Th1)/Num;
Out=append(Out,pC+ra*[cos(tmp),sin(tmp)]);
);
,
Th1=Ydata_3;
Th2=Th-Cut/(2*ra);
tmp1=[];
forall(0..Num/2,
tmp=Th1+#*(Th2-Th1)/(Num/2);
tmp1=append(tmp1,pC+ra*[cos(tmp),sin(tmp)]);
);
Th1=Th+Cut/(2*ra);
Th2=Ydata_4;
tmp2=[];
forall(0..Num/2,
tmp=Th1+#*(Th2-Th1)/(Num/2);
tmp2=append(tmp2,pC+ra*[cos(tmp),sin(tmp)]);
);
Out=[tmp1,tmp2];
);
if(Noflg<3,
println("generate bowdata "+name+" and "+Bpos);//16.10.31
if(MeasureDepth(Out)==1,Out=[Out]);
tmp1=[];
forall(Out,tmp2,
tmp=apply(tmp2,Pcrd(#));
tmp1=append(tmp1,tmp);
);
tmp=name+"="+textformat(tmp1,5);
parse(tmp);
tmp1=substring(textformat(plist,5),1,length(textformat(plist,5))-1);
tmp=name+"=Bowdata("+tmp1+opstr+")";
GLIST=append(GLIST,tmp);
);
if(Noflg<2,
if(isstring(Ltype),
if((Noflg==0)&(color!=KCOLOR), //180904
Texcom("{");Com2nd("Setcolor("+color+")");//180722
);
Ltype=GetLinestyle(text(Noflg)+Ltype,name);
if((Noflg==0)&(color!=KCOLOR), //180904
Texcom("}");//180722
);
,
if(Noflg==1,Ltype=0);
);
GCLIST=append(GCLIST,[name,Ltype,opcindy]);
);
);
////%Bowdata end////
////%Bowname start////
Bowname(str):=Bowname("c",str);
Bowname(dir,str):=(
Expr([BOWMIDDLE,dir,str]);
);
////%Bowname end////
////%Bownamerot start////
Bownamerot(bwdata,str):=Bownamerot(bwdata,0,0,str,1);
Bownamerot(bwdata,str,updown):=Bownamerot(bwdata,0,0,str,updown);
Bownamerot(bwdata,tmov,nmov,str):=Bownamerot(bwdata,tmov,nmov,str,1);
Bownamerot(bwdata,tmov,nmov,str,updown):=(
regional(bdata,tmp);
tmp=MeasureDepth(bwdata);
if(tmp==1,bdata=[bwdata],bdata=bwdata);
if(length(bdata)>1,
tmp=Ptend(bdata_2)-Ptstart(bdata_1);
,
tmp=Ptend(bdata_1)-Ptstart(bdata_1);
);
if(updown<0,tmp=-tmp);
Exprrot(BOWMIDDLE,tmp,tmov,nmov,str);
);
////%Bownamerot end////
////%Deqdata start////
Deqdata(deq,rng,initt,initf,Num):=( //17.10.04
// Deqdata("[x1,...xn]`=[f1,...fn]","t=[0,20]",0,[...],50);
regional(Eps,Inf,tname,Xname,func,t1,t2,dt,tt,X0,flg,
kl1,kl2,kl3,kl4,pdL,tmp,tmp1,tmp2);
Eps=10^(-3);
Inf=10^3;
tmp=tokenize(deq,"=");
tmp1=replace(tmp_1,"`","");
tmp1=substring(tmp1,1,length(tmp1)-1);
Xname=tokenize(tmp1,",");
func=tmp_2;
forall(1..(length(Xname)),
func=replace(func,Xname_#,"X_"+text(#));
);
tmp=tokenize(rng,"=");
tname=tmp_1;
tmp=parse(tmp_2);
t1=tmp_1;
t2=tmp_2;
tmp="funP("+tname+",X):="+func+";";
parse(tmp);
tmp="funN("+tname+",X):=-"+func+";";
parse(tmp);
dt=(t2-t1)/Num;
tt=initt;
X0=Lcrd(initf);
pdL=[flatten([tt,X0])];
flg=0;
forall(1..floor((t2-initt)/dt),
if(flg==0,
kl1=dt*funP(tt,X0);
kl2=dt*funP(tt+dt/2,X0+kl1/2);
kl3=dt*funP(tt+dt/2,X0+kl2/2);
kl4=dt*funP(tt+dt,X0+kl3);
X0=X0+(kl1+2*kl2+2*kl3+kl4)/6;
tt=initt+#*dt;
tmp=flatten([tt,X0]);
pdL=append(pdL,tmp);
if(|tmp|>Inf,flg=1);
);
);
tt=initt;
X0=Lcrd(initf);
flg=0;
forall(1..floor((initt-t1)/dt),
if(flg==0,
kl1=dt*funN(tt,X0);
kl2=dt*funN(tt+dt/2,X0+kl1/2);
kl3=dt*funN(tt+dt/2,X0+kl2/2);
kl4=dt*funN(tt+dt,X0+kl3);
X0=X0+(kl1+2*kl2+2*kl3+kl4)/6;
tt=initt-#*dt;
tmp=flatten([tt,X0]);
pdL=prepend(tmp,pdL);
if(|tmp1|>Inf,flg=1);
);
);
pdL;
);
////%Deqdata end////
////%Deqplot start////
Deqplot(nm,deq,rng,initf):=Deqplot(nm,deq,rng,Lcrd(initf)_1,initf,[]);
Deqplot(nm,deq,rng,Arg1,Arg2):=(
regional(initt,initf,options);
if(isreal(Arg1) & !islist(Arg1),
initt=Arg1;
initf=Arg2;
options=[];
,
initf=Lcrd(Arg1);
initt=initf_1;
options=Arg2;
);
Deqplot(nm,deq,rng,initt,initf,options);
);
Deqplot(nm,deqorg,rngorg,initt,initf,options):=( //17.10.06
//help:Deqplot("2","y'=y*(1-y)","x",0, 0.5,["Num=100"]);
//help:Deqplot("1","y''=-y","x",0, [1,0]);
//help:Deqplot("3","[x,y]'=[x*(1-y),0.3*y*(x-1)]","t=[0,20]",0,[1,0.5]);
regional(deq,rng,Ltype,Noflg,eqL,opcindy,Num,name,nn,pdL,phase,
sel,tmp,tmp1,tmp2,color);
name="de"+nm;
tmp=Divoptions(options);
Ltype=tmp_1;
Noflg=tmp_2;
eqL=tmp_5;
color=tmp_(length(tmp)-2);
opcindy=tmp_(length(tmp));
Num=50;
forall(eqL,
tmp=indexof(#,"=");
tmp2=substring(#,0,1);
tmp2=Toupper(tmp2);
tmp1=substring(#,tmp,length(#));
if(Toupper(substring(#,0,1))=="N",
Num=parse(tmp1);
);
);
rng=rngorg;
if(indexof(rng,"=")==0,
rng=rng+"="+textformat([XMIN,XMAX],6);
);
deq=deqorg;
deq=replace(deq,"'","`"); //180527
tmp=indexof(deq,"=");
tmp1=substring(deq,0,tmp-1);
if(indexof(tmp1,"[")==0,
phase=0;
sel=[1,2];
,
phase=1;
sel=[2,3];
);
tmp2=substring(deq,tmp,length(deq));
nn=length(Indexall(tmp1,"`"));
if(nn==1,
if(indexof(tmp1,"[")==0,
tmp1="["+replace(tmp1,"`","]`");
deq=tmp1+"="+tmp2;
);
,
tmp=indexof(tmp1,"`");
tmp1=substring(tmp1,0,tmp-1);
deq="[";
forall(1..nn,
deq=deq+tmp1+"N"+text(#)+",";
);
deq=substring(deq,0,length(deq)-1)+"]`=[";
forall(1..(nn-1),
deq=deq+tmp1+"N"+text(#+1)+",";
);
forall(reverse(1..(nn)),jj,
tmp=tmp1;
forall(1..jj,
tmp=tmp+"`";
tmp2=replace(tmp2,tmp,tmp1+"N"+text(#+1));
);
);
tmp2=tmp2+"]";
forall(1..(length(tmp2)-1),
tmp=substring(tmp2,#-1,#);
if(tmp!=tmp1,
deq=deq+tmp;
,
tmp=substring(tmp2,#,#+1);
if(tmp=="N",
deq=deq+tmp1;
,
deq=deq+tmp1+"N1"
);
);
);
deq=deq+"]";
);
if(Noflg<3,
pdL=deqdata(deq,rng,initt,initf,Num);
if(phase==1,
pdL=apply(pdL,#_(2..3));
);
tmp1=apply(pdL,Pcrd(#));
tmp=name+"="+textformat(tmp1,5);
parse(tmp);
);
if(Noflg<1,
tmp=Assign(deq);
tmp=replace(deq,"'","`");
tmp=name+"=Deqplot('"+tmp+"','"+rng+"',";
tmp=tmp+format(initt,6)+","+textformat(initf,6);
tmp=tmp+","+text(sel)+",'Num="+text(Num)+"')";
tmp=RSform(tmp);
GLIST=append(GLIST,tmp);
);
if(Noflg<2,
if(isstring(Ltype),
if((Noflg==0)&(color!=KCOLOR), //180904
Texcom("{");Com2nd("Setcolor("+color+")");//180722
);
Ltype=GetLinestyle(text(Noflg)+Ltype,name);
if((Noflg==0)&(color!=KCOLOR), //180904
Texcom("}");//180722
);
,
if(Noflg==1,Ltype=0);
);
GCLIST=append(GCLIST,[name,Ltype,opcindy]);
);
);
////%Deqplot end////
////////// old enclosing ///////////////
Enclosing(nm,plist):=EnclosingS(nm,plist);
Enclosing(nm,plist,options):=EnclosingS(nm,plist,options);
EnclosingS(nm,plist):=EnclosingS(nm,plist,[]);
EnclosingS(nm,plist,options):=(
// help:Enclosing("1",["sc2","crAB","sc2","Invert(sc1)"],[pt,"dr"]);
regional(name,AnsL,Start,Eps,EEps,S,Flg,Fdata,Gdata,KL,pt,qt,color
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;
color=tmp_(length(tmp)-2);
opstr=tmp_(length(tmp)-1);
opcindy=tmp_(length(tmp));
Eps=10^(-5); // 16.12.05
EEps=0.05;
Start=[];
Flg=0;
forall(realL,
if(isList(#) % ispoint(#),
Start=Lcrd(#); // 15.09.12
,
Flg=Flg+1;
if(Flg==1,Eps=#);
if(Flg==2,EEps=#);
);
);
// tmp1=concat([Eps,EEps],eqL); // 15.04.06
Fdata=plist_1;
Gdata=plist_(length(plist));
KL=IntersectcrvsPp(Fdata,Gdata);
if(length(KL)==1,
pt=KL_1_1;
t1=KL_1_2;
);
if(length(KL)==0,
if(Numptcrv(Fdata)>Numptcrv(Gdata),
tmp=Nearestpt(Fdata,Gdata);
pt=tmp_1;
t1=tmp_2;
,
tmp=Nearestpt(Gdata,Fdata);
pt=tmp_3;
t1=tmp_4;
);
);
if(length(KL)>1,
if(Start==[],
err("No Start Point");
,
pt=KL_1_1;
t1=KL_1_2;
tmp=Norm(pt-Start);
forall(2..(length(KL)),ii, // 15.04.20
tmp1=KL_ii_1;
tmp2=Norm(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,
KL=sort(KL,[#_2]);
if(Start==[],
tst=KL_1_2;
Start=Pointoncurve(tst,Fdata);
,
tmp=apply(KL,|#_1-Start|);
tmp=min(tmp);
tmp1=select(KL,|#_1-Start|t1+epspara/50*length(tmp)); //180707
KL=select(KL,(#_2>tmp1)%((#_2>t1)&(|#_1-p1|>Eps1))); //180713,16
t2=KL_1_2;
ss=KL_1_3;
if(abs(t2-t1)1,
t2=KL_2_2;
ss=KL_2_3;
,
println(text(nn)+" and "+text(nxtno)+" not intersect");
flg=1;
);
);
);
if(flg==0,
tmp=Partcrv("",t1,t2,Fdata,["nodata"]);
if(nn==1,
AnsL=tmp;
,
AnsL=concat(AnsL,tmp_(2..(length(tmp))));
);
);
t1=ss;//180706
p1=Pointoncurve(t1,Gdata); //180713
);
);
if(flg==0,
AnsL=apply(AnsL,Pcrd(#));
);
if(Noflg<3,
println("generate Enclosing "+name);
tmp=name+"="+textformat(AnsL,5);
parse(tmp);
tmp=name+"=Enclosing2(";//16.11.07from
tmp1="list(";
forall(plistorg, //18.02.02
tmp1=tmp1+#+",";
);
tmp=tmp+substring(tmp1,0,length(tmp1)-1)+")";//18.0706from
if(length(Start)>0,tmp=tmp+","+Textformat(Start,6));
tmp=tmp+","+text(epspara)+")";//18.0706to,180707
GLIST=append(GLIST,tmp);//16.11.07until
);
if(Noflg<2,
if(isstring(Ltype),
if((Noflg==0)&(color!=KCOLOR), //180904
Texcom("{");Com2nd("Setcolor("+color+")");//180722
);
Ltype=GetLinestyle(text(Noflg)+Ltype,name);
if((Noflg==0)&(color!=KCOLOR), //180904
Texcom("}");//180722
);
,
if(Noflg==1,Ltype=0);
);
GCLIST=append(GCLIST,[name,Ltype,opcindy]);
);
tmp=apply(AnsL,LLcrd(#));//16.10.20
tmp;
);
////%Enclosing end////
/////////// end of new enclosing ///////////
/////////// new Hatchdata(cindy) ///////////
////%Makehatch start////
Makehatch(iolistorg,pt,vec,bdylist):=(
regional(Eps,iolist,sg,bdy,out,nb,tenL,ns,ne,ioL,
ii,jj,kk,nvec,nbdy,sgn1,sgn2,flg,rmL,p0,p1,p2,pL,
Scalebkup,tmp,tmp1,tmp2);
Eps=10^(-5);
nvec=[-vec_2,vec_1];
nvec=nvec/|nvec|;
if(!islist(iolistorg),iolist=[iolistorg],iolist=iolistorg);
forall(1..(length(iolist)),
tmp=replace(iolist_#,"i","1,");
tmp=replace(tmp,"o","0,");
tmp="["+substring(tmp,0,length(tmp)-1)+"]";
iolist_#=parse(tmp);
);
Scalebkup=[SCALEX,SCALEY];//181020(2lines)
SCALEX=1;
SCALEY=1;
sg=Lineplot("",[pt,pt+vec],["nodata"]);
nb=length(bdylist);
if(nb>0,
tenL=[];
forall(1..nb,ii,
rmL=[];
bdy=bdylist_ii;
nbdy=length(bdy)-1;
pL=[];
forall(1..nbdy,jj,
p1=bdy_jj;
p2=bdy_(mod(jj+1-1,nbdy)+1);
tmp=Intersectseg(sg,[p1,p2],Eps);
if(abs(tmp_1)0,
pL=sort(pL,[#_2]);
pL=apply(1..(length(pL)),append(pL_#,mod(#,2)));
tenL=concat(tenL,pL);
);
);
tenL=sort(tenL,[#_2]);
if(length(tenL)>0, //180619from
tmp1=tenL; tenL=[tmp1_1];
forall(2..(length(tmp1)),ii, //180717from
tmp=tmp1_ii;
flg=0;
forall(tenL,
if((Norm(tmp_1-#_1)0,tmp=tenL_1_1,tmp=sg_2);
if(|sg_1-tmp|>Eps,
tmp=[sg_1,-1,1,ioL];
tenL=prepend(tmp,tenL);
ns=ns+1;
ne=ne+1;
);
if(|sg_2-tenL_(length(tenL))_1|>Eps,
tmp=[sg_2,-1,2,ioL];
tenL=append(tenL,tmp);
);
forall(ns..(ne-1),ii, //180619 ne=>ne-1
tmp=tenL_ii;
tmp1=tmp_4;
tmp2=tmp_5;
ioL_tmp1=tmp2;
tmp=[tmp_1,tmp_2,tmp_4,ioL];
tenL_ii=tmp;
);
out=[];
forall(1..(length(tenL)-1),ii,
tmp1=tenL_ii;
if(contains(iolist,tmp1_4),
tmp2=tenL_(ii+1);
tmp=Listplot("",[tmp1_1,tmp2_1],["nodata"]);
out=append(out,tmp);
);
);
);
SCALEX=Scalebkup_1; //181020
SCALEY=Scalebkup_2;
out;
);
////%Makehatch end////
////%Anyselected start////
Anyselected(ptL):=(
regional(tmp,out);
out=false;
forall(ptL,
if(isstring(#),tmp=parse(#),tmp=#);
out=(out)%(isselected(tmp));
);
out;
);
////%Anyselected end////
////%Hatchdata start////
Hatchdata(nm,iostr,bdylist):=Hatchdatacindy(nm,iostr,bdylist,[]);//180619
Hatchdata(nm,iostr,bdylist,optionsorg):=( //181003from
regional(options,tmp,tmp1,tmp2,eqL,strL,chkL,outflg);
options=optionsorg;
tmp=Divoptions(options);
eqL=tmp_5;
strL=tmp_7;
outflg=0;
forall(eqL,
tmp=Strsplit(#,"=");
tmp1=Toupper(tmp_1);
if(substring(tmp1,0,1)=="O",
tmp2=tmp_2;
if(tmp2!="n",
outflg=1;
option=remove(options,[#]);
if((tmp2=="m")%(tmp2=="r"),
options=append(options,tmp2);;
);
);
);
);
if(outflg==0,
options=remove(options,strL);
Hatchdatacindy(nm,iostr,bdylist,options);
,
HatchdataR(nm,iostr,bdylist,options);
);
); //181003to
Hatchdatacindy(nm,iostr,bdylist):=Hatchdata(nm,iostr,bdylist,[]);
Hatchdatacindy(nm,iostr,bdylistorg,optionsorg):=(
//help:Hatchdata("1",["ii"],[["ln1","Invert(gr1)"],["gr2","n"]]);
//help:Hatchdata(options=["Not=pointlist","File=y(/m/n)","Max=50","Check=",angle,width]);
regional(name,bdylist,bdynameL,bname,Ltype,Noflg,opstr,opcindy,reL,
options,eqL,maxnum,startP,angle,interval,vec,nvec,ctr,pt,kk,delta,sha,AnsL,
color,tmp,tmp1,tmp2,tmp3,namep,x1,y1,x2,y2,p1,p2, //180717
fname,fileflg,mkflg,vaL,pL,nL,nn,str,is,ie); //181102
name="ha"+nm;
fname=Fhead+name+".txt";
bdylist=[];
bdynameL=[];
forall(1..(length(bdylistorg)),kk,
tmp1=bdylistorg_kk;
if(length(tmp1)==1,
bname=tmp1_1;
,
tmp=tmp1_(length(tmp1));
if(contains(["n","s","e","w"],tmp),
namep=tmp1_1;//180717from
tmp2=parse(namep);
if(substring(namep,0,2)=="ln", //180717from
if(contains(["n","s"],tmp),
x1=tmp2_1_1; y1=tmp2_1_2; x2=tmp2_2_1; y2=tmp2_2_2;
p1=[NE.x,(y2-y1)/(x2-x1)*(NE.x-x1)+y1];
p2=[SW.x,(y2-y1)/(x2-x1)*(SW.x-x1)+y1];
Listplot(name+text(kk),[p1,p2],["nodisp"]);
namep="sg"+name+text(kk);
tmp2=parse(namep);
);
if(contains(["e","w"],tmp),
x1=tmp2_1_1; y1=tmp2_1_2; x2=tmp2_2_1; y2=tmp2_2_2;
p1=[(x2-x1)/(y2-y1)*(NE.y-y1)+x1,NE.y];
p2=[(x2-x1)/(y2-y1)*(SW.y-y1)+x1,SW.y];
Listplot(name+text(kk),[p1,p2],["nodisp"]);
namep="sg"+name+text(kk);
tmp2=parse(namep);
);
);//180717to
if(tmp=="s",
Listplot(name,[LLcrd(tmp2_1),[tmp2_1_1,2*YMIN-YMAX], //180717(2lines)
[tmp2_(length(tmp2))_1,2*YMIN-YMAX],LLcrd(tmp2_(length(tmp2)))],
["nodisp"]);
Joincrvs(text(kk)+name,[namep,"sg"+name],["nodisp"]);//180717
bname="join"+text(kk)+name;
);
if(tmp=="n",
Listplot(name,[LLcrd(tmp2_1),[tmp2_1_1,2*YMAX-YMIN], //180717(2lines)
[tmp2_(length(tmp2))_1,2*YMAX-YMIN],LLcrd(tmp2_(length(tmp2)))],
["nodisp"]);
Joincrvs(text(kk)+name,[namep,"sg"+name],["nodisp"]);
bname="join"+text(kk)+name;
);
if(tmp=="e",
Listplot(name,apply([tmp2_1,[XMAX,tmp2_1_2],
[XMAX,tmp2_(length(tmp2))_2],tmp2_(length(tmp2))],LLcrd(#)),["nodisp"]);
Joincrvs(text(kk)+name,[namep,"sg"+name],["nodisp"]);//180717
bname="join"+text(kk)+name;
);
if(tmp=="w",
Listplot(name,apply( [tmp2_1,[XMIN,tmp2_1_2],
[XMIN,tmp2_(length(tmp2))_2],tmp2_(length(tmp2))],LLcrd(#)),["nodisp"]);
Joincrvs(text(kk)+name,[namep,"sg"+name],["nodisp"]);//180717
bname="join"+text(kk)+name;
);
,
Enclosing2(text(kk)+name,tmp,["nodisp"]);//180619(2lines);
bname="en"+text(kk)+name;
);
);
bdylist=append(bdylist,parse(bname));
bdynameL=append(bdynameL,bname);
);
options=optionsorg;
tmp=Divoptions(options);
Ltype=tmp_1;
Noflg=tmp_2;
eqL=tmp_5;
reL=tmp_6;
color=tmp_(length(tmp)-2);
opstr=tmp_(length(tmp)-1);
opcindy=tmp_(length(tmp));
angle=45;
// interval=0.125*1000/2.54/MilliIn;
interval=0.25*1000/2.54/MilliIn; //180706
startP=[(XMIN+XMAX)/2, (YMIN+YMAX)/2];
maxnum=[50,0]; //181109changed [first,second]
fileflg="N";//181102from
mkflg=1;
chkL=[]; //181109
forall(eqL,
tmp=Strsplit(#,"=");
tmp1=Toupper(substring(tmp_1,0,1));
if(tmp1=="M",
maxnum=parse(tmp_2);
if(!islist(maxnum),
maxnum=[maxnum,0];
);
options=remove(options,[#]);
);
if(tmp1=="F", //181102from
fileflg=Toupper(substring(tmp_2,0,1));
options=remove(options,[#]);
); //181102to
if(tmp1=="N", //181103from
tmp=parse(tmp_2);
if(Anyselected(tmp),
mkflg=-1;
);
options=remove(options,[#]);
);
if(tmp1=="C",
chkL=parse(tmp_2);
options=remove(options,[#]);
);
);//181102,03to
tmp1=1;
forall(reL,
if(islist(#),
startP=#;
,
if(tmp1==1,
angle=#;
tmp1=tmp1+1;
,
interval= interval*#;
);
);
);
if((fileflg=="Y")%(fileflg=="M")&(mkflg>-1), //181102from
wflg=1;
varL=flatten(bdylistorg);
varL=select(varL,length(#)>1);
varL=sort(varL);
pL=[];
forall(1..(length(varL)),nn,
tmp1=varL_nn;
tmp=select(GLIST,substring(#,0,length(tmp1))==tmp1);
str=tmp_1;
varL_nn=str;
tmp1=Bracket(str,"()");
tmp2=max(apply(tmp1,#_2));
nL=select(1..(length(tmp1)),tmp1_#_2==tmp2);
forall(nL,nn,
is=tmp1_nn_1; ie=tmp1_(nn+1)_1;
tmp=substring(str,is,ie-1);
tmp=replace(tmp,"'",Dq);
tmp=parse("["+tmp+"]");
tmp2=flatten(tmp);
tmp2=flatten(tmp2);
tmp2=flatten(tmp2);
forall(tmp2,
if(ispoint(#),
if(!contains(pL,text(#)),
pL=append(pL,text(#));
);
);
);
);
);
forall(chkL,
if(!contains(pL,#),pL=append(pL,#));
);
forall(pL,
tmp=#+"="+Textformat(parse(#+".xy"),5);
varL=append(varL,tmp);
);
tmp="reL="+Textformat(reL,5);
varL=append(varL,tmp);
if(fileflg=="M",
fileflg="Y";
,
tmp1="hatch"+nm+".txt";
if(isexists(Dirwork,tmp1),
tmp2=load(tmp1);
tmp2=tokenize(tmp2,"//");
tmp2=tmp2_(1..(length(tmp2)-1));
if(tmp2==varL,
wflg=0;
if(isexists(Dirwork,fname),
mkflg=0;
ReadOutData(fname);
tmp=name+"="+Textformat(parse(name),5);
parse(tmp);
);
);
);
);
);
if(mkflg==1, //181102to
angle=angle*pi/180;
vec=[cos(angle),sin(angle)];
nvec=[-sin(angle),cos(angle)];
AnsL=[];
ctr=0;//181005(2lines)
forall(0..(maxnum_1), kk,
pt=startP+kk*interval*nvec;
sha=Makehatch(iostr,pt,vec,bdylist);
if((sha!=-1)&(length(sha)>0),
AnsL=concat(AnsL,sha);
ctr=ctr+1; //181005
);
);
maxnum_2=maxnum_2+(maxnum_1-ctr); //181005
forall(1..(maxnum_2),kk, //181005
pt=startP-kk*interval*nvec;
sha=Makehatch(iostr,pt,vec,bdylist);
if((sha!=-1)&(length(sha)>0),
AnsL=concat(AnsL,sha);
);
);
tmp1=apply(AnsL,textformat(#,5));
tmp=name+"="+tmp1;
parse(tmp);
);
if((Noflg<3)&(mkflg>-1),
if(fileflg!="Y", //181102
println("generate Hatchdata "+name);
tmp=name+"="+textformat(AnsL,5);
parse(tmp);
if(!islist(iostr),tmp1=[iostr],tmp1=iostr);
tmp="c(";
forall(tmp1,
tmp=tmp+Dq+#+Dq+",";
);
tmp=substring(tmp,0,length(tmp)-1)+")";
tmp2=name+"=Hatchdata("+tmp;
forall(bdynameL,
tmp2=tmp2+",list("+#+")";
);
tmp2=tmp2+opstr+")";
GLIST=append(GLIST,tmp2);
,
GLIST=append(GLIST,"ReadOutData("+Dq+fname+Dq+")");//181102
);
);
if((Noflg<2)&(mkflg>-1),
if(isstring(Ltype),
if((Noflg==0)&(color!=KCOLOR), //180904
Texcom("{");Com2nd("Setcolor("+color+")");//180722
);
Ltype=GetLinestyle(text(Noflg)+Ltype,name);
if((Noflg==0)&(color!=KCOLOR), //180904
Texcom("}");//180722
);
,
if(Noflg==1,Ltype=0);
);
GCLIST=append(GCLIST,[name,Ltype,opcindy]);
);
if(mkflg>-1,
if((fileflg=="Y")&(wflg==1), //181102from
tmp1="hatch"+nm+".txt";
SCEOUTPUT = openfile(tmp1);
forall(varL,
println(SCEOUTPUT,#+"//");
);
closefile(SCEOUTPUT);
WriteOutData(fname,[name,parse(name)]);
); //181102to
tmp2=[];
forall(AnsL,tmp1,
tmp=apply(tmp1,LLcrd(#));
tmp2=append(tmp2,tmp);
);
tmp2;
);
);
////%Hatchdata end////
////%Shade start////
Shade(plist):=Shade("",plist,[]); //180613from
Shade(Arg1,Arg2):=(
if(isstring(Arg1),
Shade(Arg1,Arg2,[]);
,
Shade("",Arg1,Arg2);
);
);
Shade(nm,plistorg,options):=( //180613to
//help:Shade(["gr"],[0.5]);
//help:Shade(["gr"],["Color=red"]);
//help:Shade(["gr2","sg1"],["Color=[0,0,0,0.5]"]);
//help:Shade(["gr2","sg1"],["Color=[1,0,0]"]);
// help:Shade([[A,B,C,A]]);
//help:Shade("1",["gr2","Invert(sg1)"],["Enc=y",startpt]]);
regional(name,plist,jj,tmp,tmp1,tmp2,
opstr,opcindy,eqL,reL,Str,G2,flg,encflg,startpt,color,ctr);
name="shade"+nm;
plist=plistorg;
if(isstring(plist_1), // 16.01.24
println("output Shade of "+plist);
,
println("output Shade of lists");
);
tmp=Divoptions(options);
eqL=tmp_5;
reL=tmp_6;
color=tmp_(length(tmp)-2);
opstr=tmp_(length(tmp)-1);
opcindy=tmp_(length(tmp));
tmp=select(plist,indexof(#,"Invert")>0); //180929from
if(length(tmp)>0,encflg=1,encflg=0);
forall(eqL,
tmp=Strsplit(#,"=");
tmp1=Toupper(tmp_1);
tmp2=Toupper(tmp_2);
if(substring(tmp1,0,1)=="E",
if(substring(tmp2,0,1)=="Y",
encflg=1;
);
if(substring(tmp2,0,1)=="N",
encflg=0;
);
);
);
startpt=[];
forall(reL,
if(islist(#),
startpt=#;
);
); //180929to
if(length(color)==4, //180602from
tmp=colorCmyk2rgb(color);
);
flg=0; ctr=1;
if(encflg==1, //180929from
if(length(startpt)==2,
Enclosing(nm,plist,[startpt,"nodisp"]);
,
Enclosing(nm,plist,["nodisp"]);
);
plist=["en"+nm];
); //180929to
forall(1..(length(plist)),jj, //180613from
if(flg==0,
tmp1=plist_jj;
if(isstring(tmp1),tmp=parse(tmp1),tmp=tmp1);
if(!islist(tmp),
flg=1;
,
if(!isstring(tmp1),
tmp2=[];
forall(tmp1,if(ispoint(#),tmp=#.xy,tmp=#);
tmp2=append(tmp2,tmp);
);
tmp1=Dqq("-"+name+text(ctr));
tmp2=textformat(tmp2,6)+",["+Dqq("nodisp")+"]";
tmp=name+text(ctr)+"=Listplot("+tmp1+","+tmp2+")";
parse(tmp);
plist_jj=name+text(ctr);
ctr=ctr+1;
);
);
);
);//180613to
if(flg==1,
println(" some data not defined properly");
,
G2=Joincrvs("1",plist,["nodata"]);
G2=apply(G2,Pcrd(#));
tmp1="fillpoly("+textformat(G2,5)+opcindy+");";
parse(tmp1);
);
Str="Shade(";
tmp1="list(";
forall(plist,
if(isstring(#), // from 16.01.24
if(length(#)>1,
tmp1=tmp1+#+",";
,
tmp1=tmp1+Dq+#+Dq+",";
);
,
tmp1=tmp1+"Listplot("+textformat(#,5)+"),";
); //16.01.24to
);
Str=Str+substring(tmp1,0,length(tmp1)-1)+")"+")"; //180929
Com2nd("Texcom("+Dqq("{")+")",["before"]);Com2nd("Setcolor("+color+")",["before"]);//180722
Com2nd(Str,["before"]);
Com2nd("Texcom("+Dqq("}")+")",["before"]);//180722
);
////%Shade end////
/////////// end of new Hatchdata(cindy) ///////////
//help:end();