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
|
/**
*
* $Id$
*
* ***** BEGIN GPL LICENSE BLOCK *****
*
* This program is free software; you can redistribute it and/or
* modify it under the terms of the GNU General Public License
* as published by the Free Software Foundation; either version 2
* of the License, or (at your option) any later version.
*
* This program is distributed in the hope that it will be useful,
* but WITHOUT ANY WARRANTY; without even the implied warranty of
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
* GNU General Public License for more details.
*
* You should have received a copy of the GNU General Public License
* along with this program; if not, write to the Free Software Foundation,
* Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA.
*
* The Original Code is Copyright (C) 2001-2002 by NaN Holding BV.
* All rights reserved.
*
* The Original Code is: all of this file.
*
* Contributor(s): Marc Freixas, Ken Hughes
*
* ***** END GPL LICENSE BLOCK *****
*/
#ifndef BOP_MATHUTILS_H
#define BOP_MATHUTILS_H
#include <math.h>
#include <float.h>
#include "MT_Point3.h"
#include "MT_Plane3.h"
/* define this to give better precision comparisons */
#define VAR_EPSILON
#ifndef VAR_EPSILON
const MT_Scalar BOP_EPSILON(1.0e-5);
#else
const MT_Scalar BOP_EPSILON(9.3132257461547852e-10); /* ~= 2**-30 */
#endif
inline int BOP_sign(MT_Scalar x) {
return x < 0.0 ? -1 : x > 0.0 ? 1 : 0;
}
inline MT_Scalar BOP_abs(MT_Scalar x) { return fabs(x); }
int BOP_comp(const MT_Scalar A, const MT_Scalar B);
int BOP_comp(const MT_Tuple3& A, const MT_Tuple3& B);
int BOP_comp0(const MT_Scalar A);
inline bool BOP_fuzzyZero(MT_Scalar x) { return BOP_comp0(x) == 0; }
int BOP_exactComp(const MT_Scalar A, const MT_Scalar B);
int BOP_exactComp(const MT_Tuple3& A, const MT_Tuple3& B);
bool BOP_between(const MT_Point3& p1, const MT_Point3& p2, const MT_Point3& p3);
bool BOP_collinear(const MT_Point3& p1, const MT_Point3& p2, const MT_Point3& p3);
bool BOP_convex(const MT_Point3& p1, const MT_Point3& p2, const MT_Point3& p3,
const MT_Point3& p4);
int BOP_concave(const MT_Point3& p1, const MT_Point3& p2, const MT_Point3& p3, const MT_Point3& p4);
bool BOP_intersect(const MT_Vector3& vL1, const MT_Point3& pL1, const MT_Vector3& vL2,
const MT_Point3& pL2, MT_Point3& intersection);
bool BOP_getCircleCenter(const MT_Point3& p1, const MT_Point3& p2, const MT_Point3& p3,
const MT_Point3& center);
bool BOP_isInsideCircle(const MT_Point3& p1, const MT_Point3& p2, const MT_Point3& p3,
const MT_Point3& p4, const MT_Point3& p5);
bool BOP_isInsideCircle(const MT_Point3& p1, const MT_Point3& p2, const MT_Point3& p3,
const MT_Point3& q);
MT_Scalar BOP_orientation(const MT_Plane3& p1, const MT_Plane3& p2);
int BOP_classify(const MT_Point3& p, const MT_Plane3& plane);
MT_Point3 BOP_intersectPlane(const MT_Plane3& plane, const MT_Point3& p1, const MT_Point3& p2);
bool BOP_containsPoint(const MT_Plane3& plane, const MT_Point3& point);
MT_Point3 BOP_4PointIntersect(const MT_Point3& p0, const MT_Point3& p1, const MT_Point3& p2,
const MT_Point3& q);
MT_Scalar BOP_EpsilonDistance(const MT_Point3& p0, const MT_Point3& p1, const MT_Point3& q);
#endif
|
