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// 08.09.21
// 08.10.10
// 10.02.16 Eps__
// 13.11.01 ( __ added to varibles )
// 14.06.28 debug in the case of no cusp
function OutkL__=Cuspsplitpers(varargin);
global CUSPSPLITPT;
Nargs__=length(varargin);
Gdxy__=varargin(1);
if Mixtype(Gdxy__)==1
Gdxy__=Mix(Gdxy__);
end;
Fd__=varargin(2);
FdL__=Fullformfunc(Fd__);
Eps__0=10^(-5);
Eps__=0.05;
if Nargs__>2 Eps__=varargin(3); end;
if length(Eps__)>1 //
Eps__=Eps__(1);
end; //
Fxy__=Mixop(1,FdL__); N=2;
Tmp__1=Mixop(2,FdL__);
Tmp__2=Mixop(3,FdL__);
Tmp__3=Mixop(4,FdL__);
Xyzstr__=[Tmp__1,Tmp__2,Tmp__3];
Tmp__=Mixop(5,FdL__);
K__=mtlb_findstr(Tmp__,'=');
Uname__=part(Tmp__,1:K__-1);
Urg__=evstr(part(Tmp__,K__+1:length(Tmp__)));
Tmp__=Mixop(6,FdL__);
K__=mtlb_findstr(Tmp__,'=');
Vname__=part(Tmp__,1:K__-1);
Vrg__=evstr(part(Tmp__,K__+1:length(Tmp__)));
CUSPSPLITPT=[];
OutkL__=[];
for Ng__=1:Mixlength(Gdxy__)
PtxyL__=Mixop(Ng__,Gdxy__);
PtkL__=[];
PthL__=[];
for I__=1:size(PtxyL__,1)
Tmp__=PtxyL__(I__,:);
Tmp__1=Uname__+'='+string(Tmp__(1));
execstr(Tmp__1);
Tmp__1=Vname__+'='+string(Tmp__(2))
execstr(Tmp__1);
Tmp__2=evstr(Xyzstr__);
Tmp__3=Perspt(Tmp__2);
if I__==1
PtkL__=[Tmp__2];
PthL__=[Tmp__3];
else
Tmp__4=PthL__(size(PthL__,1),:);
if norm(Tmp__3-Tmp__4)>Eps__0
PtkL__=[PtkL__;Tmp__2];
PthL__=[PthL__;Tmp__3]
end;
end;
end;
if size(PthL__,1)==0 then // from 20140628
OutkL__=[];
return;
end; // upto 20140628
Ps__=PthL__(1,:); Pe=PthL__(size(PthL__,1),:);
Cflg__=0;
if norm(Ps__-Pe)<Eps__ Cflg__=1; end;
CuspL__=[];
Cva__=cos(10*%pi/180);
for I__=1:size(PthL__,1)-1
if size(PthL__,1)==2 break; end;
Tmp__=PthL__(I__,:);
if I__==1
if Cflg__==0 continue; end;
Tmp__1=PthL__(size(PthL__,1)-1,:);
else
Tmp__1=PthL__(I__-1,:);
end;
Tmp__2=PthL__(I__+1,:);
V1__=Tmp__-Tmp__1;
V2__=Tmp__2-Tmp__;
Tmp__3=V1__(1)*V2__(1)+V1__(2)*V2__(2);
Tmp__3=Tmp__3/(norm(V1__)*norm(V2__));
Cuspflg__=0;
if Tmp__3<Cva__
P__=PthL__(I__,:);
Kaku__=acos(Tmp__3)*180/%pi;
if V1__(1)*V2__(2)-V1__(2)*V2__(1)<0
Kaku__=-Kaku__
end;
Cuspflg__=0;
for J__=I__+1:size(PthL__,1)-1
if abs(Kaku__)>90
Cuspflg__=1;
break
end;
Q__=PthL__(J__,:);
if norm(P__-Q__)>Eps__
break
end;
V1__=Q__-PthL__(J__-1,:);
V2__=PthL__(J__+1,:)-Q__;
Tmp__3=V1__(1)*V2__(1)+V1__(2)*V2__(2);
Tmp__3=Tmp__3/(norm(V1__)*norm(V2__));
Tmp__=acos(Tmp__3)*180/%pi;
if V1__(1)*V2__(2)-V1__(2)*V2__(1)<0
Tmp__=-Tmp__
end;
Kaku__=Kaku__+Tmp__
end;
if Cuspflg__==1
Tmp__=Trunc((I__+J__)*0.5);
I__=J__;
if length(CuspL__)==0
CuspL__=[Tmp__]
else
CuspL__=[CuspL__,Tmp__];
end;
end;
end;
end;
if Cflg__==0
CuspL__=[1,CuspL__,size(PthL__,1)];
elseif length(CuspL__)==0
CuspL__=[1,size(PthL__,1)];
elseif CuspL__(1)==1
CuspL__=[CuspL__,size(PthL__,1)];
else
Tmp__=CuspL__(1);
Tmp__1=size(PthL__,1);
PthL__=[PthL__(Tmp__:Tmp__1,:);PthL__(2:Tmp__,:)];
PtkL__=[PtkL__(Tmp__:Tmp__1,:);PtkL__(2:Tmp__,:)];
CuspL__=CuspL__-Tmp__+1;
CuspL__=[CuspL__,size(PthL__,1)];
end;
if length(CuspL__)==2
//Outh__=[plot(PthL__)];
Tmp__4=PthL__(size(PthL__,1),:);
if size(PtkL__,1)>=2
CUSPSPLITPT=Mixadd(CUSPSPLITPT,Tmp__4);
OutkL__=Mixadd(OutkL__,PtkL__);
end;
continue
end;
//Outh__=[];
Outk__=[];
Is__=1;
for I__=1:length(CuspL__)-1
Tmp__1=CuspL__(Is__); Tmp__2=CuspL__(I__+1);
Tmp__3=PthL__(Tmp__1,:); Tmp__4=PthL__(Tmp__2,:);
if norm(Tmp__3-Tmp__4)>Eps__
//Tmp__h=[op(Tmp__1..Tmp__2,PthL__)];
Tmp__k=PtkL__(Tmp__1:Tmp__2,:);
//Outh__=[op(Outh__),plot(Tmp__h)];
Outk__=Mixadd(Outk__,Tmp__k);
CUSPSPLITPT=Mixadd(CUSPSPLITPT,Tmp__4);
Is__=I__+1;
end;
end;
OutkL__=Mixjoin(OutkL__,Outk__);
end;
Tmp__1=Dropnumlistcrv(Projpers(OutkL__),Eps__*0.5);
Tmp__=[];
for I__=1:Mixlength(OutkL__)
Tmp__2=Mixop(I__,OutkL__);
Tmp__3=Mixop(I__,Tmp__1);
Tmp__4=[];
for J__=1:length(Tmp__3)
Tmp__5=Tmp__2(Tmp__3(J__),:);
Tmp__4=[Tmp__4;Tmp__5];
end;
if Tmp__4~=[]
Tmp__=Mixadd(Tmp__,Tmp__4);
end;
end;
OutkL__=Tmp__;
endfunction;
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