[37] | 1 | /* |
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| 2 | |
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| 3 | Brian Curless |
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| 4 | |
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| 5 | Computer Graphics Laboratory |
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| 6 | Stanford University |
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| 7 | |
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| 8 | --------------------------------------------------------------------- |
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| 9 | |
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| 10 | Copyright (1997) The Board of Trustees of the Leland Stanford Junior |
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| 11 | University. Except for commercial resale, lease, license or other |
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| 12 | commercial transactions, permission is hereby given to use, copy, |
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| 13 | modify this software for academic purposes only. No part of this |
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| 14 | software or any derivatives thereof may be used in the production of |
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| 15 | computer models for resale or for use in a commercial |
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| 16 | product. STANFORD MAKES NO REPRESENTATIONS OR WARRANTIES OF ANY KIND |
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| 17 | CONCERNING THIS SOFTWARE. No support is implied or provided. |
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| 18 | |
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| 19 | */ |
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| 20 | |
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| 21 | |
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| 22 | #include "Matrix4f.h" |
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| 23 | #include "defines.h" |
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| 24 | #include <math.h> |
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| 25 | #include <unistd.h> |
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| 26 | #include <stdio.h> |
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| 27 | |
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| 28 | /* #include "NR.h" */ |
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| 29 | |
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| 30 | void |
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| 31 | Matrix4f::setValue(float *a) |
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| 32 | { |
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| 33 | m[0][0] = a[0]; m[0][1] = a[1]; m[0][2] = a[2]; m[0][3] = a[3]; |
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| 34 | m[1][0] = a[4]; m[1][1] = a[5]; m[1][2] = a[6]; m[1][3] = a[7]; |
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| 35 | m[2][0] = a[8]; m[2][1] = a[9]; m[2][2] = a[10]; m[2][3] = a[11]; |
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| 36 | m[3][0] = a[12]; m[3][1] = a[13]; m[3][2] = a[14]; m[3][3] = a[15]; |
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| 37 | } |
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| 38 | |
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| 39 | void |
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| 40 | Matrix4f::getValue(float *a) |
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| 41 | { |
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| 42 | a[0] = m[0][0]; a[1] = m[0][1]; a[2] = m[0][2]; a[3] = m[0][3]; |
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| 43 | a[4] = m[1][0]; a[5] = m[1][1]; a[6] = m[1][2]; a[7] = m[1][3]; |
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| 44 | a[8] = m[2][0]; a[9] = m[2][1]; a[10] = m[2][2]; a[11] = m[2][3]; |
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| 45 | a[12] = m[3][0]; a[13] = m[3][1]; a[14] = m[3][2]; a[15] = m[3][3]; |
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| 46 | } |
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| 47 | |
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| 48 | void |
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| 49 | Matrix4f::setValue(float a[][4]) |
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| 50 | { |
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| 51 | m[0][0] = a[0][0]; m[0][1] = a[0][1]; m[0][2] = a[0][2]; |
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| 52 | m[0][3] = a[0][3]; |
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| 53 | |
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| 54 | m[1][0] = a[1][0]; m[1][1] = a[1][1]; m[1][2] = a[1][2]; |
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| 55 | m[1][3] = a[1][3]; |
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| 56 | |
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| 57 | m[2][0] = a[2][0]; m[2][1] = a[2][1]; m[2][2] = a[2][2]; |
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| 58 | m[2][3] = a[2][3]; |
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| 59 | |
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| 60 | m[3][0] = a[3][0]; m[3][1] = a[3][1]; m[3][2] = a[3][2]; |
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| 61 | m[3][3] = a[3][3]; |
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| 62 | } |
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| 63 | |
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| 64 | void |
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| 65 | Matrix4f::setValue(const Matrix4f &a) |
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| 66 | { |
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| 67 | m[0][0] = a.m[0][0]; m[0][1] = a.m[0][1]; m[0][2] = a.m[0][2]; |
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| 68 | m[0][3] = a.m[0][3]; |
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| 69 | |
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| 70 | m[1][0] = a.m[1][0]; m[1][1] = a.m[1][1]; m[1][2] = a.m[1][2]; |
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| 71 | m[1][3] = a.m[1][3]; |
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| 72 | |
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| 73 | m[2][0] = a.m[2][0]; m[2][1] = a.m[2][1]; m[2][2] = a.m[2][2]; |
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| 74 | m[2][3] = a.m[2][3]; |
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| 75 | |
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| 76 | m[3][0] = a.m[3][0]; m[3][1] = a.m[3][1]; m[3][2] = a.m[3][2]; |
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| 77 | m[3][3] = a.m[3][3]; |
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| 78 | } |
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| 79 | |
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| 80 | void |
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| 81 | Matrix4f::setValue(float *a0, float *a1, float *a2, float *a3) |
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| 82 | { |
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| 83 | m[0][0] = a0[0]; m[0][1] = a0[1]; m[0][2] = a0[2]; m[0][3] = a0[3]; |
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| 84 | m[1][0] = a1[0]; m[1][1] = a1[1]; m[1][2] = a1[2]; m[1][3] = a1[3]; |
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| 85 | m[2][0] = a2[0]; m[2][1] = a2[1]; m[2][2] = a2[2]; m[2][3] = a2[3]; |
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| 86 | m[3][0] = a3[0]; m[3][1] = a3[1]; m[3][2] = a3[2]; m[3][3] = a3[3]; |
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| 87 | } |
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| 88 | |
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| 89 | void |
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| 90 | Matrix4f::setValue(float a00, float a01, float a02, float a03, |
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| 91 | float a10, float a11, float a12, float a13, |
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| 92 | float a20, float a21, float a22, float a23, |
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| 93 | float a30, float a31, float a32, float a33) |
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| 94 | { |
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| 95 | m[0][0] = a00; m[0][1] = a01; m[0][2] = a02; m[0][3] = a03; |
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| 96 | m[1][0] = a10; m[1][1] = a11; m[1][2] = a12; m[1][3] = a13; |
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| 97 | m[2][0] = a20; m[2][1] = a21; m[2][2] = a22; m[2][3] = a23; |
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| 98 | m[3][0] = a30; m[3][1] = a31; m[3][2] = a32; m[3][3] = a33; |
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| 99 | } |
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| 100 | |
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| 101 | |
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| 102 | void |
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| 103 | Matrix4f::multVec(const Vec3f &src, Vec3f &dst) |
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| 104 | { |
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| 105 | dst.setValue(m[0][0] * src[0] + m[0][1] * src[1] |
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| 106 | + m[0][2] * src[2] + m[0][3], |
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| 107 | m[1][0] * src[0] + m[1][1] * src[1] |
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| 108 | + m[1][2] * src[2] + m[1][3], |
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| 109 | m[2][0] * src[0] + m[2][1] * src[1] |
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| 110 | + m[2][2] * src[2] + m[2][3]); |
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| 111 | } |
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| 112 | |
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| 113 | void |
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| 114 | Matrix4f::multVecHomog(const Vec3f &src, Vec3f &dst) |
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| 115 | { |
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| 116 | float w; |
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| 117 | |
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| 118 | dst.setValue(m[0][0] * src[0] + m[0][1] * src[1] |
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| 119 | + m[0][2] * src[2] + m[0][3], |
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| 120 | m[1][0] * src[0] + m[1][1] * src[1] |
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| 121 | + m[1][2] * src[2] + m[1][3], |
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| 122 | m[2][0] * src[0] + m[2][1] * src[1] |
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| 123 | + m[2][2] * src[2] + m[2][3]); |
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| 124 | |
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| 125 | w = m[3][0]*src[0] + m[3][1]*src[1] + m[3][2]*src[2] + m[3][3]; |
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| 126 | |
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| 127 | dst /= w; |
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| 128 | } |
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| 129 | |
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| 130 | void |
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| 131 | Matrix4f::multDir(const Vec3f& src, Vec3f &dst) |
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| 132 | { |
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| 133 | dst.setValue(m[0][0] * src[0] + m[0][1] * src[1] + m[0][2] * src[2], |
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| 134 | m[1][0] * src[0] + m[1][1] * src[1] + m[1][2] * src[2], |
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| 135 | m[2][0] * src[0] + m[2][1] * src[1] + m[2][2] * src[2]); |
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| 136 | } |
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| 137 | |
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| 138 | |
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| 139 | void |
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| 140 | Matrix4f::makeIdentity() |
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| 141 | { |
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| 142 | setValue(1,0,0,0, |
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| 143 | 0,1,0,0, |
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| 144 | 0,0,1,0, |
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| 145 | 0,0,0,1); |
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| 146 | } |
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| 147 | |
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| 148 | |
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| 149 | Matrix4f & |
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| 150 | Matrix4f::multRight(const Matrix4f &a) |
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| 151 | { |
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| 152 | Matrix4f temp; |
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| 153 | |
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| 154 | temp.clear(); |
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| 155 | for (int i = 0; i < 4; i++) |
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| 156 | for (int j = 0; j < 4; j++) |
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| 157 | for (int k = 0; k < 4; k++) |
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| 158 | temp.m[i][j] += m[i][k] * a.m[k][j]; |
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| 159 | |
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| 160 | setValue(temp); |
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| 161 | |
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| 162 | return *this; |
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| 163 | } |
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| 164 | |
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| 165 | |
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| 166 | Matrix4f & |
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| 167 | Matrix4f::multLeft(const Matrix4f &a) |
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| 168 | { |
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| 169 | Matrix4f temp; |
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| 170 | |
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| 171 | temp.clear(); |
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| 172 | for (int i = 0; i < 4; i++) |
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| 173 | for (int j = 0; j < 4; j++) |
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| 174 | for (int k = 0; k < 4; k++) |
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| 175 | temp.m[i][j] += a.m[i][k] * m[k][j]; |
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| 176 | |
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| 177 | setValue(temp); |
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| 178 | |
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| 179 | return *this; |
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| 180 | } |
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| 181 | |
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| 182 | |
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| 183 | Matrix4f & |
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| 184 | Matrix4f::multLeft(const Matrix3f &a) |
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| 185 | { |
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| 186 | Matrix4f temp; |
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| 187 | int i; |
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| 188 | |
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| 189 | temp.clear(); |
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| 190 | for (i = 0; i < 3; i++) |
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| 191 | for (int j = 0; j < 3; j++) |
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| 192 | for (int k = 0; k < 3; k++) |
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| 193 | temp.m[i][j] += a.m[i][k] * m[k][j]; |
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| 194 | |
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| 195 | for (i = 0; i < 4; i++) { |
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| 196 | temp.m[3][i] = m[3][i]; |
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| 197 | temp.m[i][3] = m[i][3]; |
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| 198 | } |
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| 199 | |
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| 200 | setValue(temp); |
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| 201 | |
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| 202 | return *this; |
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| 203 | } |
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| 204 | |
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| 205 | |
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| 206 | void |
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| 207 | Matrix4f::setScale(float s) |
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| 208 | { |
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| 209 | setScale(s, s, s); |
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| 210 | } |
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| 211 | |
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| 212 | |
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| 213 | void |
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| 214 | Matrix4f::setScale(float sx, float sy, float sz) |
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| 215 | { |
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| 216 | m[0][0] = sx; m[0][1] = 0; m[0][2] = 0; |
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| 217 | m[1][0] = 0; m[1][1] = sy; m[1][2] = 0; |
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| 218 | m[2][0] = 0; m[2][1] = 0; m[2][2] = sz; |
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| 219 | } |
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| 220 | |
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| 221 | |
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| 222 | void |
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| 223 | Matrix4f::setScale(const Vec3f &s) |
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| 224 | { |
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| 225 | setScale(s[0], s[1], s[2]); |
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| 226 | } |
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| 227 | |
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| 228 | |
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| 229 | void |
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| 230 | Matrix4f::scale(float s) |
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| 231 | { |
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| 232 | setScale(s, s, s); |
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| 233 | } |
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| 234 | |
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| 235 | |
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| 236 | void |
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| 237 | Matrix4f::scale(float sx, float sy, float sz) |
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| 238 | { |
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| 239 | m[0][0] *= sx; m[0][1] *= sx; m[0][2] *= sx; m[0][3] *= sx; |
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| 240 | m[1][0] *= sy; m[1][1] *= sy; m[1][2] *= sy; m[1][3] *= sy; |
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| 241 | m[2][0] *= sz; m[2][1] *= sz; m[2][2] *= sz; m[2][3] *= sz; |
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| 242 | } |
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| 243 | |
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| 244 | |
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| 245 | void |
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| 246 | Matrix4f::scale(const Vec3f &s) |
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| 247 | { |
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| 248 | scale(s[0], s[1], s[2]); |
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| 249 | } |
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| 250 | |
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| 251 | |
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| 252 | void |
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| 253 | Matrix4f::rotateX(float theta) |
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| 254 | { |
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| 255 | Matrix4f temp; |
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| 256 | temp.makeIdentity(); |
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| 257 | temp.setRotateX(theta); |
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| 258 | multLeft(temp); |
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| 259 | } |
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| 260 | |
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| 261 | void |
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| 262 | Matrix4f::rotateY(float theta) |
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| 263 | { |
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| 264 | Matrix4f temp; |
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| 265 | temp.makeIdentity(); |
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| 266 | temp.setRotateY(theta); |
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| 267 | multLeft(temp); |
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| 268 | } |
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| 269 | |
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| 270 | void |
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| 271 | Matrix4f::rotateZ(float theta) |
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| 272 | { |
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| 273 | Matrix4f temp; |
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| 274 | temp.makeIdentity(); |
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| 275 | temp.setRotateZ(theta); |
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| 276 | multLeft(temp); |
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| 277 | } |
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| 278 | |
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| 279 | |
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| 280 | void |
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| 281 | Matrix4f::setRotateX(float theta) |
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| 282 | { |
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| 283 | m[0][0] = 1; m[0][1] = 0; m[0][2] = 0; |
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| 284 | m[1][0] = 0; m[1][1] = cos(theta); m[1][2] = -sin(theta); |
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| 285 | m[2][0] = 0; m[2][1] = sin(theta); m[2][2] = cos(theta); |
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| 286 | } |
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| 287 | |
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| 288 | void |
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| 289 | Matrix4f::setRotateY(float theta) |
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| 290 | { |
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| 291 | m[0][0] = cos(theta); m[0][1] = 0; m[0][2] = sin(theta); |
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| 292 | m[1][0] = 0; m[1][1] = 1; m[1][2] = 0; |
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| 293 | m[2][0] = -sin(theta); m[2][1] = 0; m[2][2] = cos(theta); |
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| 294 | } |
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| 295 | |
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| 296 | void |
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| 297 | Matrix4f::setRotateZ(float theta) |
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| 298 | { |
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| 299 | m[0][0] = cos(theta); m[0][1] = -sin(theta); m[0][2] = 0; |
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| 300 | m[1][0] = sin(theta); m[1][1] = cos(theta); m[1][2] = 0; |
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| 301 | m[2][0] = 0; m[2][1] = 0; m[2][2] = 1; |
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| 302 | } |
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| 303 | |
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| 304 | void |
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| 305 | Matrix4f::setTranslate(Vec3f t) |
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| 306 | { |
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| 307 | setTranslate(t[0], t[1], t[2]); |
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| 308 | } |
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| 309 | |
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| 310 | |
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| 311 | void |
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| 312 | Matrix4f::setTranslate(float tx, float ty, float tz) |
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| 313 | { |
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| 314 | m[0][3] = tx; |
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| 315 | m[1][3] = ty; |
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| 316 | m[2][3] = tz; |
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| 317 | } |
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| 318 | |
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| 319 | |
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| 320 | void |
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| 321 | Matrix4f::translate(Vec3f t) |
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| 322 | { |
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| 323 | translate(t[0], t[1], t[2]); |
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| 324 | } |
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| 325 | |
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| 326 | |
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| 327 | void |
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| 328 | Matrix4f::translate(float tx, float ty, float tz) |
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| 329 | { |
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| 330 | m[0][3] += tx; |
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| 331 | m[1][3] += ty; |
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| 332 | m[2][3] += tz; |
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| 333 | } |
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| 334 | |
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| 335 | |
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| 336 | |
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| 337 | Matrix4f |
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| 338 | Matrix4f::inverse() const |
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| 339 | { |
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| 340 | Matrix4f result; |
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| 341 | int i, j, k; |
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| 342 | double temp; |
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| 343 | double bigm[8][4]; |
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| 344 | /* Declare identity matrix */ |
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| 345 | |
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| 346 | result.makeIdentity(); |
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| 347 | for (i = 0; i < 4; i++) { |
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| 348 | for (j = 0; j < 4; j++) { |
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| 349 | bigm[i][j] = m[i][j]; |
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| 350 | bigm[i+4][j] = result.m[i][j]; |
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| 351 | } |
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| 352 | } |
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| 353 | |
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| 354 | /* Work across by columns */ |
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| 355 | for (i = 0; i < 4; i++) { |
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| 356 | for (j = i; (bigm[i][j] == 0.0) && (j < 4); j++) |
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| 357 | ; |
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| 358 | if (j == 4) { |
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| 359 | fprintf (stderr, "error: cannot do inverse matrix\n"); |
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| 360 | exit (2); |
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| 361 | } |
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| 362 | else if (i != j) { |
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| 363 | for (k = 0; k < 8; k++) { |
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| 364 | temp = bigm[k][i]; |
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| 365 | bigm[k][i] = bigm[k][j]; |
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| 366 | bigm[k][j] = temp; |
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| 367 | } |
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| 368 | } |
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| 369 | |
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| 370 | /* Divide original row */ |
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| 371 | for (j = 7; j >= i; j--) |
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| 372 | bigm[j][i] /= bigm[i][i]; |
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| 373 | |
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| 374 | /* Subtract other rows */ |
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| 375 | for (j = 0; j < 4; j++) |
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| 376 | if (i != j) |
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| 377 | for (k = 7; k >= i; k--) |
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| 378 | bigm[k][j] -= bigm[k][i] * bigm[i][j]; |
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| 379 | } |
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| 380 | |
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| 381 | for (i = 0; i < 4; i++) |
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| 382 | for (j = 0; j < 4; j++) |
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| 383 | result.m[i][j] = bigm[i+4][j]; |
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| 384 | |
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| 385 | return result; |
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| 386 | } |
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| 387 | |
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| 388 | |
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| 389 | void |
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| 390 | Matrix4f::transpose() |
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| 391 | { |
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| 392 | float temp; |
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| 393 | |
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| 394 | SWAP(m[0][1], m[1][0], temp); |
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| 395 | SWAP(m[0][2], m[2][0], temp); |
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| 396 | SWAP(m[0][3], m[3][0], temp); |
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| 397 | SWAP(m[1][2], m[2][1], temp); |
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| 398 | SWAP(m[1][3], m[3][1], temp); |
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| 399 | SWAP(m[2][3], m[3][2], temp); |
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| 400 | } |
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| 401 | |
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| 402 | |
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| 403 | int |
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| 404 | Matrix4f::operator!=(const Matrix4f &a) |
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| 405 | { |
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| 406 | if (m[0][0] != a.m[0][0]) return TRUE; |
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| 407 | if (m[0][1] != a.m[0][1]) return TRUE; |
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| 408 | if (m[0][2] != a.m[0][2]) return TRUE; |
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| 409 | if (m[0][3] != a.m[0][3]) return TRUE; |
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| 410 | if (m[1][0] != a.m[1][0]) return TRUE; |
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| 411 | if (m[1][1] != a.m[1][1]) return TRUE; |
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| 412 | if (m[1][2] != a.m[1][2]) return TRUE; |
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| 413 | if (m[1][3] != a.m[1][3]) return TRUE; |
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| 414 | if (m[2][0] != a.m[2][0]) return TRUE; |
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| 415 | if (m[2][1] != a.m[2][1]) return TRUE; |
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| 416 | if (m[2][2] != a.m[2][2]) return TRUE; |
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| 417 | if (m[2][3] != a.m[2][3]) return TRUE; |
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| 418 | if (m[3][0] != a.m[3][0]) return TRUE; |
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| 419 | if (m[3][1] != a.m[3][1]) return TRUE; |
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| 420 | if (m[3][2] != a.m[3][2]) return TRUE; |
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| 421 | if (m[3][3] != a.m[3][3]) return TRUE; |
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| 422 | |
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| 423 | return FALSE; |
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| 424 | } |
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| 425 | |
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| 426 | int |
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| 427 | Matrix4f::operator==(const Matrix4f &a) |
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| 428 | { |
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| 429 | if (m[0][0] != a.m[0][0]) return FALSE; |
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| 430 | if (m[0][1] != a.m[0][1]) return FALSE; |
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| 431 | if (m[0][2] != a.m[0][2]) return FALSE; |
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| 432 | if (m[0][3] != a.m[0][3]) return FALSE; |
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| 433 | if (m[1][0] != a.m[1][0]) return FALSE; |
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| 434 | if (m[1][1] != a.m[1][1]) return FALSE; |
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| 435 | if (m[1][2] != a.m[1][2]) return FALSE; |
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| 436 | if (m[1][3] != a.m[1][3]) return FALSE; |
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| 437 | if (m[2][0] != a.m[2][0]) return FALSE; |
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| 438 | if (m[2][1] != a.m[2][1]) return FALSE; |
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| 439 | if (m[2][2] != a.m[2][2]) return FALSE; |
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| 440 | if (m[2][3] != a.m[2][3]) return FALSE; |
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| 441 | if (m[3][0] != a.m[3][0]) return FALSE; |
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| 442 | if (m[3][1] != a.m[3][1]) return FALSE; |
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| 443 | if (m[3][2] != a.m[3][2]) return FALSE; |
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| 444 | if (m[3][3] != a.m[3][3]) return FALSE; |
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| 445 | |
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| 446 | return TRUE; |
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| 447 | } |
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| 448 | |
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| 449 | void |
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| 450 | Matrix4f::print() |
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| 451 | { |
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| 452 | for (int i=0; i<4; i++) { |
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| 453 | for (int j=0; j<4; j++) { |
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| 454 | printf("%f\t", m[i][j]); |
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| 455 | } |
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| 456 | printf("\n"); |
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| 457 | } |
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| 458 | } |
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| 459 | |
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| 460 | void |
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| 461 | Matrix4f::read(FILE *fp) |
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| 462 | { |
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| 463 | float a0, a1, a2, a3; |
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| 464 | |
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| 465 | fscanf(fp, "%f %f %f %f", &a0, &a1, &a2, &a3); |
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| 466 | this->setElem(0,0,a0); |
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| 467 | this->setElem(0,1,a1); |
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| 468 | this->setElem(0,2,a2); |
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| 469 | this->setElem(0,3,a3); |
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| 470 | |
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| 471 | fscanf(fp, "%f %f %f %f", &a0, &a1, &a2, &a3); |
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| 472 | this->setElem(1,0,a0); |
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| 473 | this->setElem(1,1,a1); |
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| 474 | this->setElem(1,2,a2); |
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| 475 | this->setElem(1,3,a3); |
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| 476 | |
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| 477 | fscanf(fp, "%f %f %f %f", &a0, &a1, &a2, &a3); |
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| 478 | this->setElem(2,0,a0); |
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| 479 | this->setElem(2,1,a1); |
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| 480 | this->setElem(2,2,a2); |
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| 481 | this->setElem(2,3,a3); |
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| 482 | |
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| 483 | fscanf(fp, "%f %f %f %f", &a0, &a1, &a2, &a3); |
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| 484 | this->setElem(3,0,a0); |
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| 485 | this->setElem(3,1,a1); |
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| 486 | this->setElem(3,2,a2); |
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| 487 | this->setElem(3,3,a3); |
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| 488 | } |
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| 489 | |
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| 490 | void |
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| 491 | Matrix4f::write(FILE *fp) |
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| 492 | { |
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| 493 | float a0, a1, a2, a3; |
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| 494 | |
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| 495 | a0 = this->elem(0,0); |
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| 496 | a1 = this->elem(0,1); |
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| 497 | a2 = this->elem(0,2); |
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| 498 | a3 = this->elem(0,3); |
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| 499 | fprintf(fp, "%f %f %f %f\n", a0, a1, a2, a3); |
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| 500 | |
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| 501 | a0 = this->elem(1,0); |
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| 502 | a1 = this->elem(1,1); |
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| 503 | a2 = this->elem(1,2); |
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| 504 | a3 = this->elem(1,3); |
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| 505 | fprintf(fp, "%f %f %f %f\n", a0, a1, a2, a3); |
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| 506 | |
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| 507 | a0 = this->elem(2,0); |
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| 508 | a1 = this->elem(2,1); |
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| 509 | a2 = this->elem(2,2); |
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| 510 | a3 = this->elem(2,3); |
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| 511 | fprintf(fp, "%f %f %f %f\n", a0, a1, a2, a3); |
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| 512 | |
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| 513 | a0 = this->elem(3,0); |
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| 514 | a1 = this->elem(3,1); |
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| 515 | a2 = this->elem(3,2); |
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| 516 | a3 = this->elem(3,3); |
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| 517 | fprintf(fp, "%f %f %f %f\n", a0, a1, a2, a3); |
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| 518 | |
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| 519 | } |
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| 520 | |
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| 521 | |
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| 522 | /* |
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| 523 | Matrix4f |
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| 524 | Matrix4f::inverse() const |
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| 525 | { |
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| 526 | Matrix4f temp, result; |
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| 527 | int i; |
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| 528 | |
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| 529 | temp.setValue(*this); |
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| 530 | float *nrmat[4]; |
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| 531 | |
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| 532 | toNR(temp, nrmat); |
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| 533 | |
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| 534 | // See NRC book |
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| 535 | float d, col[4]; |
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| 536 | int indx[4]; |
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| 537 | ludcmp(nrmat-1, 4, indx-1, &d); |
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| 538 | for (int j = 0; j < 4; j++) { |
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| 539 | for (i = 0; i < 4; i++) col[i] = 0; |
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| 540 | col[j] = 1.0; |
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| 541 | lubksb(nrmat-1, 4, indx-1, col-1); |
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| 542 | for(i = 0; i < 4; i++) result.m[i][j] = col[i]; |
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| 543 | } |
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| 544 | |
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| 545 | return Matrix4f(result); |
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| 546 | } |
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| 547 | |
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| 548 | |
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| 549 | void |
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| 550 | Matrix4f::toNR(Matrix4f &in, float **nrmat) const |
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| 551 | { |
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| 552 | nrmat[0] = in.m[0] - 1; |
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| 553 | nrmat[1] = in.m[1] - 1; |
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| 554 | nrmat[2] = in.m[2] - 1; |
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| 555 | nrmat[3] = in.m[3] - 1; |
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| 556 | } |
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| 557 | |
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| 558 | |
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| 559 | void |
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| 560 | Matrix4f::freeNR(float **in) const |
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| 561 | { |
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| 562 | free(in); |
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| 563 | } |
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| 564 | |
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| 565 | |
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| 566 | Matrix4f & |
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| 567 | Matrix4f::operator *=(const Matrix4f &m) |
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| 568 | { |
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| 569 | } |
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| 570 | |
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| 571 | |
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| 572 | friend Matrix4f |
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| 573 | Matrix4f::operator *(const Matrix4f &m1, const Matrix4f &m2) |
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| 574 | { |
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| 575 | } |
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| 576 | */ |
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