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-rwxr-xr-xtexmf-dist/scripts/ketpic/ketlib/ketpic2escifiles6/Meetpoints.sci169
1 files changed, 169 insertions, 0 deletions
diff --git a/texmf-dist/scripts/ketpic/ketlib/ketpic2escifiles6/Meetpoints.sci b/texmf-dist/scripts/ketpic/ketlib/ketpic2escifiles6/Meetpoints.sci
new file mode 100755
index 00000000..65ba1166
--- /dev/null
+++ b/texmf-dist/scripts/ketpic/ketlib/ketpic2escifiles6/Meetpoints.sci
@@ -0,0 +1,169 @@
+// 08.10.24
+// 08.10.25
+// 08.10.26
+// 09.12.31 (gsort)
+// 13.10.22 ( __ added to varibles )
+// 13.12.02 debugged
+
+function PtL__=Meetpoints(PtA__,PtB__,Fd__,Uveq__,Np__,Eps__)
+ Eps__0=10^(-4);
+ Vec__=PtB__-PtA__;
+ Out__=[];
+ 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;
+ Fd__L=Fullformfunc(Fd__);
+ Xf__=Mixop(2,Fd__L);
+ Yf__=Mixop(3,Fd__L);
+ Zf__=Mixop(4,Fd__L);
+ Tmp__=Mixop(5,Fd__L);
+ K__=mtlb_findstr(Tmp__,'=');
+ Uname__=part(Tmp__,1:K__-1);
+ Urg__=evstr(part(Tmp__,K__+1:length(Tmp__)));
+ Tmp__=Mixop(6,Fd__L);
+ 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,Fd__L);
+ Vrg__str=Mixop(6,Fd__L);
+ 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__);
+ 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
+ Puv__1=QL__(1,:); Puv__2=QL__(2,:);
+ Tmp__1=Puv__1(1);
+ Tmp__2=Puv__1(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__); // 13.12.02
+ Tmp__=strsubst(Zf__,Uname__,'('+string(Tmp__1)+')');
+ Tmp__=strsubst(Tmp__,Vname__,'('+string(Tmp__2)+')');
+ Zv__=evstr(Tmp__);
+ P1__=[Xv__,Yv__,Zv__];
+ Tmp__1=Puv__2(1);
+ Tmp__2=Puv__2(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__];
+ V1__=Vec__(1); V2__=Vec__(2); V3__=Vec__(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__=Puv__1;
+ else
+ Pt__=P2__; Ptuv__=Puv__2;
+ end;
+ else
+ Pt__=1/(M1__-M2__)*(-M2__*P1__+M1__*P2__);
+ Ptuv__=1/(M1__-M2__)*(-M2__*Puv__1+M1__*Puv__2);
+ 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=Naiseki(Pt__-PtA__,Vec__);
+ Tmp__1=Tmp__1/norm(Vec__)^2;
+ if Tmp__1>-Eps__0 & Tmp__1<1+Eps__0
+ Out__=[Out__,Tmp__1];
+ end;
+ end;
+ end;
+ end;
+ if length(Out__)>0
+ Out__=gsort(Out__);
+ Out__=Out__(length(Out__):-1:1);
+ Tmp__=[Out__(1)];
+ for I__=2:length(Out__)
+ Tmp__1=(Out__(I__)-Tmp__(length(Tmp__)))*Vec__;
+ Tmp__1=norm(Tmp__1);
+ if Tmp__1>Eps__
+ Tmp__=[Tmp__,Out__(I__)];
+ end;
+ end;
+ Out__=Tmp__;
+ for I__=1:length(Out__)
+ Tmp__=PtA__+Out__(I__)*Vec__;
+ PtL__=Mixadd(PtL__,Tmp__);
+ end;
+ end;
+endfunction;