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
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
|
-- File: IntConicQuad.cdl
-- Created: Thu Aug 6 10:51:07 1992
-- Author: Laurent BUCHARD
-- <lbr@sdsun2>
---Copyright: Matra Datavision 1992
class IntConicQuad from IntAna
---Purpose: This class provides the analytic intersection between
-- a conic defined as an element of gp (Lin,Circ,Elips,
-- Parab,Hypr) and a quadric as defined in the class
-- Quadric from IntAna.
-- The intersection between a conic and a plane is treated
-- as a special case.
--
-- The result of the intersection are points (Pnt from
-- gp), associated with the parameter on the conic.
--
-- A call to an Intersection L:Lin from gp and
-- SPH: Sphere from gp can be written either :
-- IntAna_IntConicQuad Inter(L,IntAna_Quadric(SPH))
-- or :
-- IntAna_IntConicQuad Inter(L,SPH) (it is necessary
-- to include IntAna_Quadric.hxx in this case)
uses Pnt from gp,
Lin from gp,
Circ from gp,
Elips from gp,
Parab from gp,
Hypr from gp,
Pln from gp,
Quadric from IntAna
raises NotDone from StdFail,
OutOfRange from Standard,
DomainError from Standard
is
Create
---Purpose: Empty constructor.
--
returns IntConicQuad from IntAna;
Create(L: Lin from gp; Q: Quadric from IntAna)
---Purpose: Creates the intersection between a line and a quadric.
returns IntConicQuad from IntAna;
Perform(me:in out; L: Lin from gp; Q: Quadric from IntAna)
---Purpose: Intersects a line and a quadric.
is static;
Create(C: Circ from gp; Q: Quadric from IntAna)
---Purpose: Creates the intersection between a circle and a quadric.
returns IntConicQuad from IntAna;
Perform(me: in out; C: Circ from gp; Q: Quadric from IntAna)
---Purpose: Intersects a circle and a quadric.
is static;
Create(E: Elips from gp; Q: Quadric from IntAna)
---Purpose: Creates the intersection between an ellipse and a quadric.
returns IntConicQuad from IntAna;
Perform(me:in out; E: Elips from gp; Q: Quadric from IntAna)
---Purpose: Intersects an ellipse and a quadric.
is static;
Create(P: Parab from gp; Q: Quadric from IntAna)
---Purpose: Creates the intersection between a parabola and a quadric.
returns IntConicQuad from IntAna;
Perform(me:in out; P: Parab from gp; Q: Quadric from IntAna)
---Purpose: Intersects a parabola and a quadric.
is static;
Create(H: Hypr from gp; Q: Quadric from IntAna)
---Purpose: Creates the intersection between an hyperbola and
-- a quadric.
returns IntConicQuad from IntAna;
Perform(me:in out; H: Hypr from gp; Q: Quadric from IntAna)
---Purpose: Intersects an hyperbola and a quadric.
is static;
----------------------------------------------------------------------
-- Intersection between a Conic from gp and a Pln from IntAna
-- The intersection is computed with Tolerances.
----------------------------------------------------------------------
Create(L : Lin from gp; P: Pln from gp;
Tolang: Real from Standard)
---Purpose: Intersection between a line and a plane.
-- Tolang is used to determine if the angle between two
-- vectors is null.
returns IntConicQuad from IntAna;
Perform(me: in out;
L : Lin from gp; P: Pln from gp; Tolang: Real from Standard)
---Purpose: Intersects a line and a plane.
-- Tolang is used to determine if the angle between two
-- vectors is null.
is static;
Create(C : Circ from gp; P: Pln from gp;
Tolang,Tol: Real from Standard)
---Purpose: Intersection between a circle and a plane.
-- Tolang is used to determine if the angle between two
-- vectors is null.
-- Tol is used to determine if a distance is null.
returns IntConicQuad from IntAna;
Perform(me: in out;
C : Circ from gp; P: Pln from gp; Tolang,Tol: Real from Standard)
---Purpose: Intersects a circle and a plane.
-- Tolang is used to determine if the angle between two
-- vectors is null.
-- Tol is used to determine if a distance is null.
is static;
Create(E : Elips from gp; P: Pln from gp;
Tolang,Tol: Real from Standard)
---Purpose: Intersection between an ellipse and a plane.
-- Tolang is used to determine if the angle between two
-- vectors is null.
-- Tol is used to determine if a distance is null.
returns IntConicQuad from IntAna;
Perform(me: in out;
E : Elips from gp; P: Pln from gp; Tolang,Tol: Real from Standard)
---Purpose: Intersects an ellipse and a plane.
-- Tolang is used to determine if the angle between two
-- vectors is null.
-- Tol is used to determine if a distance is null.
is static;
Create(Pb: Parab from gp; P: Pln from gp;
Tolang: Real from Standard)
---Purpose: Intersection between a parabola and a plane.
-- Tolang is used to determine if the angle between two
-- vectors is null.
returns IntConicQuad from IntAna;
Perform(me: in out;
Pb: Parab from gp; P: Pln from gp; Tolang: Real from Standard)
---Purpose: Intersects a parabola and a plane.
-- Tolang is used to determine if the angle between two
-- vectors is null.
is static;
Create(H : Hypr from gp; P: Pln from gp;
Tolang: Real from Standard)
---Purpose: Intersection between an hyperbola and a plane.
-- Tolang is used to determine if the angle between two
-- vectors is null.
returns IntConicQuad from IntAna;
Perform(me: in out;
H : Hypr from gp; P: Pln from gp; Tolang: Real from Standard)
---Purpose: Intersects an hyperbola and a plane.
-- Tolang is used to determine if the angle between two
-- vectors is null.
is static;
IsDone(me)
---Purpose: Returns TRUE if the creation completed.
--
---C++: inline
returns Boolean from Standard
is static;
IsInQuadric(me)
---Purpose: Returns TRUE if the conic is in the quadric.
--
---C++: inline
returns Boolean from Standard
raises NotDone from StdFail
-- The exception NotDone is raised if IsDone returns False.
is static;
IsParallel(me)
---Purpose: Returns TRUE if the line is in a quadric which
-- is parallel to the quadric.
---C++: inline
returns Boolean from Standard
raises NotDone from StdFail
-- The exception NotDone is raised if IsDone returns False.
is static;
NbPoints(me)
---Purpose: Returns the number of intersection point.
--
---C++: inline
returns Integer from Standard
raises NotDone from StdFail,
DomainError from Standard
-- The exception NotDone is raised if IsDone returns False.
-- The exception DomainError is raised if IsInQuadric returns
-- True or IsParallel returns True.
is static;
Point(me; N: Integer from Standard)
---Purpose: Returns the point of range N.
--
---C++: inline
---C++: return const&
returns Pnt from gp
raises NotDone from StdFail,
DomainError from Standard,
OutOfRange from Standard
-- The exception NotDone is raised if IsDone returns False.
-- The exception DomainError is raised if IsInQuadric returns
-- True or IsParallel returns true.
-- The exception OutOfRange is raised if N<=0 or N>NbPoints.
is static;
ParamOnConic(me; N: Integer from Standard)
---Purpose: Returns the parameter on the line of the intersection
-- point of range N.
--
---C++: inline
returns Real from Standard
raises NotDone from StdFail,
DomainError from Standard,
OutOfRange from Standard
-- The exception NotDone is raised if IsDone returns False.
-- The exception DomainError is raised if IsInQuadric returns
-- True or IsParallel returns true.
-- The exception OutOfRange is raised if N<=0 or N>NbPoints.
is static;
fields
done : Boolean from Standard;
parallel : Boolean from Standard;
inquadric : Boolean from Standard;
nbpts : Integer from Standard;
pnts : Pnt from gp [4];
paramonc : Real from Standard [4];
end IntConicQuad;
|
