0031313: Foundation Classes - Dump improvement for classes
[occt.git] / src / gp / gp_Vec.hxx
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42cf5bc1 1// Copyright (c) 1991-1999 Matra Datavision
2// Copyright (c) 1999-2014 OPEN CASCADE SAS
3//
4// This file is part of Open CASCADE Technology software library.
5//
6// This library is free software; you can redistribute it and/or modify it under
7// the terms of the GNU Lesser General Public License version 2.1 as published
8// by the Free Software Foundation, with special exception defined in the file
9// OCCT_LGPL_EXCEPTION.txt. Consult the file LICENSE_LGPL_21.txt included in OCCT
10// distribution for complete text of the license and disclaimer of any warranty.
11//
12// Alternatively, this file may be used under the terms of Open CASCADE
13// commercial license or contractual agreement.
14
15#ifndef _gp_Vec_HeaderFile
16#define _gp_Vec_HeaderFile
17
18#include <Standard.hxx>
19#include <Standard_DefineAlloc.hxx>
20#include <Standard_Handle.hxx>
21
22#include <gp_XYZ.hxx>
23#include <Standard_Real.hxx>
24#include <Standard_Integer.hxx>
25#include <Standard_Boolean.hxx>
26class Standard_ConstructionError;
27class Standard_DomainError;
28class Standard_OutOfRange;
29class gp_VectorWithNullMagnitude;
30class gp_Dir;
31class gp_XYZ;
32class gp_Pnt;
33class gp_Ax1;
34class gp_Ax2;
35class gp_Trsf;
36
37
38
39//! Defines a non-persistent vector in 3D space.
40class gp_Vec
41{
42public:
43
44 DEFINE_STANDARD_ALLOC
45
46
47 //! Creates a zero vector.
48 gp_Vec();
49
50 //! Creates a unitary vector from a direction V.
51 gp_Vec(const gp_Dir& V);
52
53 //! Creates a vector with a triplet of coordinates.
54 gp_Vec(const gp_XYZ& Coord);
55
56 //! Creates a point with its three cartesian coordinates.
57 gp_Vec(const Standard_Real Xv, const Standard_Real Yv, const Standard_Real Zv);
58
59
60 //! Creates a vector from two points. The length of the vector
61 //! is the distance between P1 and P2
62 gp_Vec(const gp_Pnt& P1, const gp_Pnt& P2);
63
64 //! Changes the coordinate of range Index
65 //! Index = 1 => X is modified
66 //! Index = 2 => Y is modified
67 //! Index = 3 => Z is modified
68 //! Raised if Index != {1, 2, 3}.
69 void SetCoord (const Standard_Integer Index, const Standard_Real Xi);
70
71 //! For this vector, assigns
72 //! - the values Xv, Yv and Zv to its three coordinates.
73 void SetCoord (const Standard_Real Xv, const Standard_Real Yv, const Standard_Real Zv);
74
75 //! Assigns the given value to the X coordinate of this vector.
76 void SetX (const Standard_Real X);
77
78 //! Assigns the given value to the X coordinate of this vector.
79 void SetY (const Standard_Real Y);
80
81 //! Assigns the given value to the X coordinate of this vector.
82 void SetZ (const Standard_Real Z);
83
84 //! Assigns the three coordinates of Coord to this vector.
85 void SetXYZ (const gp_XYZ& Coord);
86
87
88 //! Returns the coordinate of range Index :
89 //! Index = 1 => X is returned
90 //! Index = 2 => Y is returned
91 //! Index = 3 => Z is returned
92 //! Raised if Index != {1, 2, 3}.
93 Standard_Real Coord (const Standard_Integer Index) const;
94
95 //! For this vector returns its three coordinates Xv, Yv, and Zvinline
96 void Coord (Standard_Real& Xv, Standard_Real& Yv, Standard_Real& Zv) const;
97
98 //! For this vector, returns its X coordinate.
99 Standard_Real X() const;
100
101 //! For this vector, returns its Y coordinate.
102 Standard_Real Y() const;
103
104 //! For this vector, returns its Z coordinate.
105 Standard_Real Z() const;
106
107 //! For this vector, returns
108 //! - its three coordinates as a number triple
109 const gp_XYZ& XYZ() const;
110
111
112 //! Returns True if the two vectors have the same magnitude value
113 //! and the same direction. The precision values are LinearTolerance
114 //! for the magnitude and AngularTolerance for the direction.
115 Standard_EXPORT Standard_Boolean IsEqual (const gp_Vec& Other, const Standard_Real LinearTolerance, const Standard_Real AngularTolerance) const;
116
117
118 //! Returns True if abs(<me>.Angle(Other) - PI/2.) <= AngularTolerance
119 //! Raises VectorWithNullMagnitude if <me>.Magnitude() <= Resolution or
120 //! Other.Magnitude() <= Resolution from gp
121 Standard_Boolean IsNormal (const gp_Vec& Other, const Standard_Real AngularTolerance) const;
122
123
124 //! Returns True if PI - <me>.Angle(Other) <= AngularTolerance
125 //! Raises VectorWithNullMagnitude if <me>.Magnitude() <= Resolution or
126 //! Other.Magnitude() <= Resolution from gp
127 Standard_Boolean IsOpposite (const gp_Vec& Other, const Standard_Real AngularTolerance) const;
128
129
130 //! Returns True if Angle(<me>, Other) <= AngularTolerance or
131 //! PI - Angle(<me>, Other) <= AngularTolerance
132 //! This definition means that two parallel vectors cannot define
133 //! a plane but two vectors with opposite directions are considered
134 //! as parallel. Raises VectorWithNullMagnitude if <me>.Magnitude() <= Resolution or
135 //! Other.Magnitude() <= Resolution from gp
136 Standard_Boolean IsParallel (const gp_Vec& Other, const Standard_Real AngularTolerance) const;
137
138
139 //! Computes the angular value between <me> and <Other>
140 //! Returns the angle value between 0 and PI in radian.
141 //! Raises VectorWithNullMagnitude if <me>.Magnitude() <= Resolution from gp or
142 //! Other.Magnitude() <= Resolution because the angular value is
143 //! indefinite if one of the vectors has a null magnitude.
144 Standard_Real Angle (const gp_Vec& Other) const;
145
146 //! Computes the angle, in radians, between this vector and
147 //! vector Other. The result is a value between -Pi and Pi.
148 //! For this, VRef defines the positive sense of rotation: the
149 //! angular value is positive, if the cross product this ^ Other
150 //! has the same orientation as VRef relative to the plane
151 //! defined by the vectors this and Other. Otherwise, the
152 //! angular value is negative.
153 //! Exceptions
154 //! gp_VectorWithNullMagnitude if the magnitude of this
155 //! vector, the vector Other, or the vector VRef is less than or
156 //! equal to gp::Resolution().
157 //! Standard_DomainError if this vector, the vector Other,
158 //! and the vector VRef are coplanar, unless this vector and
159 //! the vector Other are parallel.
160 Standard_Real AngleWithRef (const gp_Vec& Other, const gp_Vec& VRef) const;
161
162 //! Computes the magnitude of this vector.
163 Standard_Real Magnitude() const;
164
165 //! Computes the square magnitude of this vector.
166 Standard_Real SquareMagnitude() const;
167
168 //! Adds two vectors
169 void Add (const gp_Vec& Other);
170 void operator += (const gp_Vec& Other)
171{
172 Add(Other);
173}
174
175 //! Adds two vectors
0be7dbe1
BB
176 Standard_NODISCARD gp_Vec Added (const gp_Vec& Other) const;
177 Standard_NODISCARD gp_Vec operator + (const gp_Vec& Other) const
42cf5bc1 178{
179 return Added(Other);
180}
181
182 //! Subtracts two vectors
183 void Subtract (const gp_Vec& Right);
184 void operator -= (const gp_Vec& Right)
185{
186 Subtract(Right);
187}
188
189 //! Subtracts two vectors
0be7dbe1
BB
190 Standard_NODISCARD gp_Vec Subtracted (const gp_Vec& Right) const;
191 Standard_NODISCARD gp_Vec operator - (const gp_Vec& Right) const
42cf5bc1 192{
193 return Subtracted(Right);
194}
195
196 //! Multiplies a vector by a scalar
197 void Multiply (const Standard_Real Scalar);
198 void operator *= (const Standard_Real Scalar)
199{
200 Multiply(Scalar);
201}
202
203 //! Multiplies a vector by a scalar
0be7dbe1
BB
204 Standard_NODISCARD gp_Vec Multiplied (const Standard_Real Scalar) const;
205 Standard_NODISCARD gp_Vec operator * (const Standard_Real Scalar) const
42cf5bc1 206{
207 return Multiplied(Scalar);
208}
209
210 //! Divides a vector by a scalar
211 void Divide (const Standard_Real Scalar);
212 void operator /= (const Standard_Real Scalar)
213{
214 Divide(Scalar);
215}
216
217 //! Divides a vector by a scalar
0be7dbe1
BB
218 Standard_NODISCARD gp_Vec Divided (const Standard_Real Scalar) const;
219 Standard_NODISCARD gp_Vec operator / (const Standard_Real Scalar) const
42cf5bc1 220{
221 return Divided(Scalar);
222}
223
224 //! computes the cross product between two vectors
225 void Cross (const gp_Vec& Right);
226 void operator ^= (const gp_Vec& Right)
227{
228 Cross(Right);
229}
230
231 //! computes the cross product between two vectors
0be7dbe1
BB
232 Standard_NODISCARD gp_Vec Crossed (const gp_Vec& Right) const;
233 Standard_NODISCARD gp_Vec operator ^ (const gp_Vec& Right) const
42cf5bc1 234{
235 return Crossed(Right);
236}
237
238
239 //! Computes the magnitude of the cross
240 //! product between <me> and Right.
241 //! Returns || <me> ^ Right ||
242 Standard_Real CrossMagnitude (const gp_Vec& Right) const;
243
244
245 //! Computes the square magnitude of
246 //! the cross product between <me> and Right.
247 //! Returns || <me> ^ Right ||**2
248 Standard_Real CrossSquareMagnitude (const gp_Vec& Right) const;
249
250 //! Computes the triple vector product.
251 //! <me> ^= (V1 ^ V2)
252 void CrossCross (const gp_Vec& V1, const gp_Vec& V2);
253
254 //! Computes the triple vector product.
255 //! <me> ^ (V1 ^ V2)
0be7dbe1 256 Standard_NODISCARD gp_Vec CrossCrossed (const gp_Vec& V1, const gp_Vec& V2) const;
42cf5bc1 257
258 //! computes the scalar product
259 Standard_Real Dot (const gp_Vec& Other) const;
260 Standard_Real operator * (const gp_Vec& Other) const
261{
262 return Dot(Other);
263}
264
265 //! Computes the triple scalar product <me> * (V1 ^ V2).
266 Standard_Real DotCross (const gp_Vec& V1, const gp_Vec& V2) const;
267
268 //! normalizes a vector
269 //! Raises an exception if the magnitude of the vector is
270 //! lower or equal to Resolution from gp.
271 void Normalize();
272
273 //! normalizes a vector
274 //! Raises an exception if the magnitude of the vector is
275 //! lower or equal to Resolution from gp.
0be7dbe1 276 Standard_NODISCARD gp_Vec Normalized() const;
42cf5bc1 277
278 //! Reverses the direction of a vector
279 void Reverse();
280
281 //! Reverses the direction of a vector
0be7dbe1
BB
282 Standard_NODISCARD gp_Vec Reversed() const;
283 Standard_NODISCARD gp_Vec operator -() const
42cf5bc1 284{
285 return Reversed();
286}
287
288
289 //! <me> is set to the following linear form :
290 //! A1 * V1 + A2 * V2 + A3 * V3 + V4
291 void SetLinearForm (const Standard_Real A1, const gp_Vec& V1, const Standard_Real A2, const gp_Vec& V2, const Standard_Real A3, const gp_Vec& V3, const gp_Vec& V4);
292
293
294 //! <me> is set to the following linear form :
295 //! A1 * V1 + A2 * V2 + A3 * V3
296 void SetLinearForm (const Standard_Real A1, const gp_Vec& V1, const Standard_Real A2, const gp_Vec& V2, const Standard_Real A3, const gp_Vec& V3);
297
298
299 //! <me> is set to the following linear form :
300 //! A1 * V1 + A2 * V2 + V3
301 void SetLinearForm (const Standard_Real A1, const gp_Vec& V1, const Standard_Real A2, const gp_Vec& V2, const gp_Vec& V3);
302
303
304 //! <me> is set to the following linear form :
305 //! A1 * V1 + A2 * V2
306 void SetLinearForm (const Standard_Real A1, const gp_Vec& V1, const Standard_Real A2, const gp_Vec& V2);
307
308
309 //! <me> is set to the following linear form : A1 * V1 + V2
310 void SetLinearForm (const Standard_Real A1, const gp_Vec& V1, const gp_Vec& V2);
311
312
313 //! <me> is set to the following linear form : V1 + V2
314 void SetLinearForm (const gp_Vec& V1, const gp_Vec& V2);
315
316 Standard_EXPORT void Mirror (const gp_Vec& V);
317
318
319 //! Performs the symmetrical transformation of a vector
320 //! with respect to the vector V which is the center of
321 //! the symmetry.
6ed44b1c 322 Standard_NODISCARD Standard_EXPORT gp_Vec Mirrored (const gp_Vec& V) const;
42cf5bc1 323
324 Standard_EXPORT void Mirror (const gp_Ax1& A1);
325
326
327 //! Performs the symmetrical transformation of a vector
328 //! with respect to an axis placement which is the axis
329 //! of the symmetry.
6ed44b1c 330 Standard_NODISCARD Standard_EXPORT gp_Vec Mirrored (const gp_Ax1& A1) const;
42cf5bc1 331
332 Standard_EXPORT void Mirror (const gp_Ax2& A2);
333
334
335 //! Performs the symmetrical transformation of a vector
336 //! with respect to a plane. The axis placement A2 locates
337 //! the plane of the symmetry : (Location, XDirection, YDirection).
6ed44b1c 338 Standard_NODISCARD Standard_EXPORT gp_Vec Mirrored (const gp_Ax2& A2) const;
42cf5bc1 339
340 void Rotate (const gp_Ax1& A1, const Standard_Real Ang);
341
342
343 //! Rotates a vector. A1 is the axis of the rotation.
344 //! Ang is the angular value of the rotation in radians.
0be7dbe1 345 Standard_NODISCARD gp_Vec Rotated (const gp_Ax1& A1, const Standard_Real Ang) const;
42cf5bc1 346
347 void Scale (const Standard_Real S);
348
349 //! Scales a vector. S is the scaling value.
0be7dbe1 350 Standard_NODISCARD gp_Vec Scaled (const Standard_Real S) const;
42cf5bc1 351
352 //! Transforms a vector with the transformation T.
353 Standard_EXPORT void Transform (const gp_Trsf& T);
354
355 //! Transforms a vector with the transformation T.
0be7dbe1 356 Standard_NODISCARD gp_Vec Transformed (const gp_Trsf& T) const;
42cf5bc1 357
358
359
360
361protected:
362
363
364
365
366
367private:
368
369
370
371 gp_XYZ coord;
372
373
374};
375
376
377#include <gp_Vec.lxx>
378
379
380
381
382
383#endif // _gp_Vec_HeaderFile