source: GTP/trunk/Lib/Vis/Preprocessing/src/Matrix4x4.h @ 1001

Revision 1001, 3.5 KB checked in by mattausch, 18 years ago (diff)

added mesh instance support
improved support for occlusion queries + other extensions

Line 
1#ifndef __MATRIX4x4_H
2#define __MATRIX4x4_H
3
4#include <iostream>
5using namespace std;
6
7namespace GtpVisibilityPreprocessor {
8
9class Vector3;
10
11
12
13class Matrix4x4
14{
15public:
16  float x[4][4]; // first index is column [x], the second is row [y]
17
18  Matrix4x4() { }
19
20  // here xXY - 'X' is row, and 'Y' is column - classical mathematical notation
21  Matrix4x4(float x11, float x12, float x13, float x14,
22           float x21, float x22, float x23, float x24,
23           float x31, float x32, float x33, float x34,
24           float x41, float x42, float x43, float x44);
25
26  Matrix4x4(const Vector3 &a, const Vector3 &b, const Vector3 &c);
27
28
29  // Assignment operators
30  Matrix4x4& operator+= (const Matrix4x4 &A);   // add-to
31  Matrix4x4& operator-= (const Matrix4x4 &A);   // subtract-from
32  Matrix4x4& operator*= (const Matrix4x4 &A);   // multiply by matrix
33  Matrix4x4& operator*= (float A);              // scale by scalar
34
35  // Fundamental operations
36  /// Invert the matrix .. returns 0 = regular
37  int Invert();         
38  /// Transpose the matrix
39  void Transpose();     
40
41  void
42  SetColumns(const Vector3 &a, const Vector3 &b, const Vector3 &c);
43
44  float Det3x3() const {
45    return (x[0][0]*x[1][1]*x[2][2] + \
46            x[1][0]*x[2][1]*x[0][2] + \
47            x[2][0]*x[0][1]*x[1][2] - \
48            x[2][0]*x[1][1]*x[0][2] - \
49            x[0][0]*x[2][1]*x[1][2] - \
50            x[1][0]*x[0][1]*x[2][2]);
51  }
52 
53
54  friend Matrix4x4 Invert(const Matrix4x4 &M);  // Invert a given matrix
55  friend Matrix4x4 Transpose(const Matrix4x4 &M);       // Transpose a given matrix
56
57  // Create various types of matrix.
58  friend Matrix4x4 IdentityMatrix();
59  friend Matrix4x4 ZeroMatrix();
60  friend Matrix4x4 TranslationMatrix(const Vector3 &Location);
61  friend Matrix4x4 RotationXMatrix(float Angle);
62  friend Matrix4x4 RotationYMatrix(float Angle);
63  friend Matrix4x4 RotationZMatrix(float Angle);
64  friend Matrix4x4 RotationYPRMatrix(float Yaw, float Pitch, float Roll);
65  // about axis 'axis' by angle 'Angle'
66  friend Matrix4x4 RotationAxisMatrix(const Vector3 &axis, float Angle);
67  // create the rotation matrix that rotates 'vecFrom' to 'vecTo'
68  friend Matrix4x4 RotationVectorsMatrix(const Vector3 &vecFrom,
69                                         const Vector3 &vecTo);
70 
71  friend Matrix4x4 ScaleMatrix(float X, float Y, float Z);
72  friend Matrix4x4 GenRotation(const Vector3 &x, const Vector3 &y,
73                             const Vector3 &z);
74  friend Matrix4x4 QuadricMatrix(float a, float b, float c, float d, float e,
75                              float f, float g, float h, float j, float k);
76  // returns matrix for transforming normal
77  friend Matrix4x4 NormalTransformMatrix(const Matrix4x4 &M);
78
79  friend Matrix4x4 MirrorX();
80  friend Matrix4x4 MirrorY();
81  friend Matrix4x4 MirrorZ();
82  friend Matrix4x4 RotationOnly(const Matrix4x4 &x);
83
84  // Binary operators
85  friend Matrix4x4 operator+ (const Matrix4x4 &A, const Matrix4x4 &B);
86  friend Matrix4x4 operator- (const Matrix4x4 &A, const Matrix4x4 &B);
87  friend Matrix4x4 operator* (const Matrix4x4 &A, float B);
88  friend Matrix4x4 operator* (const Matrix4x4 &A, const Matrix4x4 &B);
89
90  // friends returning Vector3
91  friend Vector3 operator*(const Matrix4x4 &M, const Vector3 &v);
92  friend Vector3 RotateOnly(const Matrix4x4 &M, const Vector3 &v);
93  friend Vector3 TransformNormal(const Matrix4x4 &M, const Vector3 &v);
94  friend Vector3 GetTranslation(const Matrix4x4 &M);
95
96  // Construct rotation description according VRML'97 specification
97  //  const CVector4D SFRotation(void) const;
98
99 
100
101  // Overloaded output operator.
102  friend ostream& operator<< (ostream &s, const Matrix4x4 &M);
103};
104
105}
106
107#endif
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