summaryrefslogtreecommitdiff
path: root/texmf-dist/scripts/ketcindy/ketlib/ketpicscifiles6/PthiddenQ.sci
blob: 98f2ca9445d0b3f5ec6021c5ca05d59671a2ee43 (plain)
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
// 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;