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// 08.10.10
// 08.10.15
// 09.06.24
// 10.02.16 Eps
function FigkL=Nohiddenpara2(PaL,Fk,Fd,Uveq,Np,Eps)
global HIDDENDATA THETA PHI TMP;
Eps0=10^(-5);
Fh=Projpara(Fk);
P1=Ptstart(Fh);
P2=Ptend(Fh);
Csp=CuspPt();
Cspflg=1;
for I=1:Mixlength(Csp)
Tmp=Mixop(I,Csp);
if norm(Tmp-P1)<Eps0
select Cspflg,
case 1 then Cspflg=2,
case 3 then Cspflg=6;
end;
continue;
end;
if norm(Tmp-P2)<Eps0
select Cspflg,
case 1 then Cspflg=3,
case 2 then Cspflg=6;
end;
continue;
end;
end;
SeL=[];
for N=1:length(PaL)-1
S=(PaL(N)+PaL(N+1))/2;
Tmp=Invparapt(S,Fh,Fk);
PtA=Mixop(1,Tmp);
PtAp=Parapt(PtA);
Vec=[sin(THETA)*cos(PHI),sin(THETA)*sin(PHI),cos(THETA)];
Epstmp=Eps;
if N==1 & modulo(Cspflg,2)==0
Tmp=min(Eps(1)*norm(PtAp-Ptstart(Fh)),Eps(1)); //
Epstmp=[Tmp,Eps(2)]; //
end;
if N==length(PaL)-1 & modulo(Cspflg,3)==0
Tmp=min(Eps(1)*norm(PtAp-Ptend(Fh)),Eps(1)); //
Epstmp=[Tmp,Eps(2)]; //
end;
Flg=PthiddenQ(PtA,Vec,Fd,Uveq,Np,Epstmp);
if Flg==0
SeL=[SeL,N];
end;
end;
FigL=[];
FigkL=[];
for I=1:length(SeL)
Tmp1=PointonCurve(PaL(SeL(I)),Fh);
Tmp2=PointonCurve(PaL(SeL(I)+1),Fh);
if I==1
P=Tmp1; SP=PaL(SeL(I));
Q=Tmp2; SQ=PaL(SeL(I)+1);
else
if Member(SeL(I)-1,SeL)
Q=Tmp2; SQ=PaL(SeL(I)+1);
else
FigL=Mixadd(FigL,Partcrv(SP,SQ,Fh));
Tmp3=Invparapt(SP,Fh,Fk);
TP=Mixop(2,Tmp3);
Tmp3=Invparapt(SQ,Fh,Fk);
TQ=Mixop(2,Tmp3);
Tmp4=Partcrv3(TP,TQ,Fk)
FigkL=Mixadd(FigkL,Tmp4);
P=Tmp1; SP=PaL(SeL(I));
Q=Tmp2; SQ=PaL(SeL(I)+1);
end;
end;
end;
if length(SeL)>0
if norm(P-Q)>Eps(1) //
FigL=Mixadd(FigL,Partcrv(P,Q,Fh));
Tmp3=Invparapt(SP,Fh,Fk);
TP=Mixop(2,Tmp3);
Tmp3=Invparapt(SQ,Fh,Fk);
TQ=Mixop(2,Tmp3);
FigkL=Mixadd(FigkL,Partcrv3(TP,TQ,Fk));
else
FigL=Mixadd(FigL,Fh);
FigkL=Mixadd(FigkL,Fk);
end;
end;
Tmp=[];
for I=1:length(PaL)-1
if ~Member(I,SeL)
Tmp=[Tmp,I];
end;
end;
SeL=Tmp;
HIDDENDATA=[];
for I=1:length(SeL)
Tmp=PaL(SeL(I));
Tmp1=PointonCurve(Tmp,Fh);
Tmp=PaL(SeL(I)+1);
Tmp2=PointonCurve(Tmp,Fh);
if I==1
P=Tmp1; SP=PaL(SeL(I));
Q=Tmp2; SQ=PaL(SeL(I)+1);
else
if Member(SeL(I)-1,SeL)
Q=Tmp2; SQ=PaL(SeL(I)+1);
else
Tmp=Invparapt(SP,Fh,Fk);
TP=Mixop(2,Tmp);
Tmp=Invparapt(SQ,Fh,Fk);
TQ=Mixop(2,Tmp);
HIDDENDATA=Mixadd(HIDDENDATA,Partcrv3(TP,TQ,Fk));
P=Tmp1; SP=PaL(SeL(I));
Q=Tmp2; SQ=PaL(SeL(I)+1);
end;
end;
end;
if length(SeL)>0
if norm(P-Q)>Eps(1) //
Tmp=Invparapt(SP,Fh,Fk);
TP=Mixop(2,Tmp);
Tmp=Invparapt(SQ,Fh,Fk);
TQ=Mixop(2,Tmp);
HIDDENDATA=Mixadd(HIDDENDATA,Partcrv3(TP,TQ,Fk));
else
HIDDENDATA=Mixadd(HIDDENDATA,Fk);
end;
end;
endfunction;
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