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// 08.10.10
// 08.10.12
// 08.10.15
// 08.10.26
// 09.06.05
// 09.09.10
// 09.10.12 debug
// 09.11.07 debugged
// 10.02.16 Eps__
// 13.10.22 ( __ added to variables )
function Out__=PthiddenQ(PtA__,Vec__,Fd__,Uveq__,Np__,EPS__)
// Out__=1 : hidden
// SL__ : List of segments near PtA__+Vec__
Eps__0=10^(-4)*(Xmax()-Xmin())/10;
Eps__=EPS__(1)*(Xmax()-Xmin())/10; //
Out__=0;
Vec__1=1/norm(Vec__)*Vec__;
PtL__=[];
Tmp__=Mixop(2,Fd__);
K__=mtlb_findstr(Tmp__,'=');
Xname__=part(Tmp__,1:K__-1);
Tmp__=Mixop(3,Fd__);
K__=mtlb_findstr(Tmp__,'=');
Yname__=part(Tmp__,1:K__-1);
Tmp__=Mixop(1,Fd__);
K__=mtlb_findstr(Tmp__,'=');
if K__~=[]
Zname__=part(Tmp__,1:K__-1);
else
Tmp__=Mixop(4,Fd__);
K__=mtlb_findstr(Tmp__,'=');
Zname__=part(Tmp__,1:K__-1);
end;
FdL__=Fullformfunc(Fd__);
Xf__=Mixop(2,FdL__);
Yf__=Mixop(3,FdL__);
Zf__=Mixop(4,FdL__);
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__)));
Umin__=Urg__(1); UMax__=Urg__(2);
Vmin__=Vrg__(1); VMax__=Vrg__(2);
V1__='('+string(Vec__(1))+')';
V2__='('+string(Vec__(2))+')';
V3__='('+string(Vec__(3))+')';
Xstr__='(('+Xf__+')-('+string(PtA__(1))+'))';
Ystr__='(('+Yf__+')-('+string(PtA__(2))+'))';
Zstr__='(('+Zf__+')-('+string(PtA__(3))+'))';
Urg__str=Mixop(5,FdL__);
Vrg__str=Mixop(6,FdL__);
if abs(Vec__(2))>Eps__0 | abs(Vec__(1))>Eps__0
Eq__=V2__+'*'+Xstr__+'-'+V1__+'*'+Ystr__;
else
Eq__=Xstr__;
end;
MS__=Mix(Eq__,Urg__str,Vrg__str,Np__);
[Zval__,Xval__,Yval__]=Makevaltable(MS__);
SL__=[];
for J__=1:length(Yval__)-1
for I__=1:length(Xval__)-1
a1__=Xval__(I__);b1__=Yval__(J__);c1__=Zval__(J__,I__);
a2__=Xval__(I__+1);b2__=Yval__(J__);c2__=Zval__(J__,I__+1);
a3__=Xval__(I__+1);b3__=Yval__(J__+1);c3__=Zval__(J__+1,I__+1);
a4__=Xval__(I__);b4__=Yval__(J__+1);c4__=Zval__(J__+1,I__);
PL__=[a1__,b1__;a2__,b2__;a3__,b3__;a4__,b4__;a1__,b1__];
VL__=[c1__,c2__,c3__,c4__,c1__];
QL__=[];
for K__=1:4
P1__=PL__(K__,:); P2__=PL__(K__+1,:);
M1__=VL__(K__); M2__=VL__(K__+1);
if M1__>=Eps__0 & M2__>=Eps__0
continue;
end;
if M1__<=-Eps__0 & M2__<=-Eps__0
continue;
end;
if abs(M1__)<Eps__0
Tmp__=P1__;
elseif abs(M2__)<Eps__0
continue;
else
Tmp__=1/(M1__-M2__)*(-M2__*P1__+M1__*P2__);
end;
QL__=[QL__;Tmp__];
end;
if size(QL__,1)==2
Puv1__=QL__(1,:); Puv2=QL__(2,:);
Tmp__1=Puv1__(1);
Tmp__2=Puv1__(2);
Tmp__=strsubst(Xf__,Uname__,'('+string(Tmp__1)+')');
Tmp__=strsubst(Tmp__,Vname__,'('+string(Tmp__2)+')');
Xv__=evstr(Tmp__);
Tmp__=strsubst(Yf__,Uname__,'('+string(Tmp__1)+')');
Tmp__=strsubst(Tmp__,Vname__,'('+string(Tmp__2)+')');
Yv__=evstr(Tmp__);
Tmp__=strsubst(Zf__,Uname__,'('+string(Tmp__1)+')');
Tmp__=strsubst(Tmp__,Vname__,'('+string(Tmp__2)+')');
Zv__=evstr(Tmp__);
P1__=[Xv__,Yv__,Zv__];
Tmp__1=Puv2(1);
Tmp__2=Puv2(2);
Tmp__=strsubst(Xf__,Uname__,'('+string(Tmp__1)+')');
Tmp__=strsubst(Tmp__,Vname__,'('+string(Tmp__2)+')');
Xv__=evstr(Tmp__);
Tmp__=strsubst(Yf__,Uname__,'('+string(Tmp__1)+')');
Tmp__=strsubst(Tmp__,Vname__,'('+string(Tmp__2)+')');
Yv__=evstr(Tmp__);
Tmp__=strsubst(Zf__,Uname__,'('+string(Tmp__1)+')');
Tmp__=strsubst(Tmp__,Vname__,'('+string(Tmp__2)+')');
Zv__=evstr(Tmp__);
P2__=[Xv__,Yv__,Zv__];
if norm(P1__-P2__)<Eps__0 // 09.11.07
continue;
end; //
Tmp__1=norm(P1__-PtA__);
Tmp__2=Naiseki(P1__-PtA__,Vec__1);
Tmp__3=sqrt(abs(Tmp__1^2-Tmp__2^2));
Tmp__4=norm(P2__-PtA__);
Tmp__5=Naiseki(P2__-PtA__,Vec__1);
Tmp__6=sqrt(abs(Tmp__4^2-Tmp__5^2));
if Tmp__2<Tmp__5
Tmp__=P1__; P1__=P2__; P2__=Tmp__;
Tmp__=Tmp__2; Tmp__2=Tmp__5; Tmp__5=Tmp__;
Tmp__=Tmp__3; Tmp__3=Tmp__6; Tmp__6=Tmp__;
end;
if Tmp__3<EPS__(2)*Eps__ & Tmp__6<EPS__(2)*Eps__ //
if Tmp__2>-Eps__0
if Tmp__5<-Eps__0
SL__=[SL__;P1__,P2__,-1];
else
SL__=[SL__;P1__,P2__,1];
end;
end;
end;
V1__=Vec__1(1); V2__=Vec__1(2); V3__=Vec__1(3);
if abs(V1__)>Eps__0
M1__=PtA__(3)+V3__/V1__*(P1__(1)-PtA__(1))-P1__(3);
M2__=PtA__(3)+V3__/V1__*(P2__(1)-PtA__(1))-P2__(3);
elseif abs(V2__)>Eps__0
M1__=PtA__(3)+V3__/V2__*(P1__(2)-PtA__(2))-P1__(3);
M2__=PtA__(3)+V3__/V2__*(P2__(2)-PtA__(2))-P2__(3);
else
M1__=PtA__(2)-P1__(2);
M2__=PtA__(2)-P2__(2);
end;
if M1__*M2__>=0
if (M1__>Eps__0 & M2__>Eps__0) | (M1__<-Eps__0 & M2__<-Eps__0)
continue;
end;
if abs(M1__)<=Eps__0
Pt__=P1__; Ptuv__=Puv1__;
else
Pt__=P2__; Ptuv__=Puv2;
end;
else
Pt__=1/(M1__-M2__)*(-M2__*P1__+M1__*P2__);
Ptuv__=1/(M1__-M2__)*(-M2__*Puv1__+M1__*Puv2);
end;
if type(Uveq__)==10
Tmp__1='('+string(Ptuv__(1))+')';
Tmp__2='('+string(Ptuv__(2))+')';
Tmp__=strsubst(Uveq__,Uname__,Tmp__1);
Tmp__=strsubst(Tmp__,Vname__,Tmp__2);
Tmp__=evstr(Tmp__);
if Tmp__<-Eps__0
continue;
end;
end;
Tmp__1=Dotprod(Pt__-PtA__,Vec__1);
Tmp__2=abs(Tmp__1);
Tmp__3=Dotprod(P1__-P2__,Vec__1);
Tmp__4=norm(P1__-P2__);
Tmp__6=Tmp__3/Tmp__4;
if Tmp__1>Eps__0
if abs(Tmp__6)>0.75 // from
PtL__=[PtL__;Pt__,P2__];
continue;
end; // upto
if Tmp__2>Eps__
Out__=1;
return
end;
if Tmp__2<2*Eps__
continue;
end;
end;
end;
end;
end;
if PtL__==[]
return;
end;
for I__=1:size(SL__,1)
P2__=SL__(I__,4:6);
Flg__=0;
for J__=1:size(SL__,1)
P=SL__(J__,1:3);
if norm(P-P2__)<Eps__0
SL__(I__,7)=J__;
Flg__=1;
break;
end;
end;
if Flg__==0 & SL__(I__,7)>0
SL__(I__,7)=-2;
end;
end;
for I__=1:size(PtL__,1)
P__=PtL__(I__,4:6);
Flg__=0;
for J__=1:size(SL__,1)
P1__=SL__(J__,1:3);
if norm(P1__-P__)<Eps__0
Flg__=1;
break;
end;
end;
if Flg__==0
Pt__=PtL__(I__,1:3); // from
Tmp__0=norm(P__-Pt__);
Tmp__1=abs(Dotprod(P__-Pt__,Vec__1));
Tmp__2=sqrt(abs(Tmp__0^2-Tmp__1^2));
Tmp__3=Tmp__2*norm(Pt__-PtA__)/Tmp__0; // should to be changed 10.02.16
if Tmp__3>Eps__/5
Out__=1;
return;
else
continue;
end; // upto
end;
Nxt__=SL__(J__,7);
while Nxt__>0
P__=SL__(Nxt__,4:6);
Nxt__=SL__(Nxt__,7);
end;
if Nxt__==-2
Out__=1;
return;
else
Out__=0;
end;
end;
endfunction;
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