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1 /*
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2 libvmath - a vector math library
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3 Copyright (C) 2004-2011 John Tsiombikas <nuclear@member.fsf.org>
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4
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5 This program is free software: you can redistribute it and/or modify
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6 it under the terms of the GNU Lesser General Public License as published
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7 by the Free Software Foundation, either version 3 of the License, or
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8 (at your option) any later version.
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9
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10 This program is distributed in the hope that it will be useful,
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11 but WITHOUT ANY WARRANTY; without even the implied warranty of
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12 MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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13 GNU Lesser General Public License for more details.
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14
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15 You should have received a copy of the GNU Lesser General Public License
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16 along with this program. If not, see <http://www.gnu.org/licenses/>.
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17 */
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18
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19 #include <string.h>
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20
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21 #ifdef __cplusplus
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22 extern "C" {
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23 #endif /* __cplusplus */
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24
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25 /* C matrix 3x3 functions */
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26 static VMATH_INLINE void m3_identity(mat3_t m)
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27 {
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28 static const mat3_t id = {{1, 0, 0}, {0, 1, 0}, {0, 0, 1}};
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29 memcpy(m, id, sizeof id);
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30 }
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31
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32 static VMATH_INLINE void m3_cons(mat3_t m,
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33 scalar_t m11, scalar_t m12, scalar_t m13,
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34 scalar_t m21, scalar_t m22, scalar_t m23,
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35 scalar_t m31, scalar_t m32, scalar_t m33)
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36 {
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37 m[0][0] = m11; m[0][1] = m12; m[0][2] = m13;
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38 m[1][0] = m21; m[1][1] = m22; m[1][2] = m23;
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39 m[2][0] = m31; m[2][1] = m32; m[2][2] = m33;
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40 }
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41
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42 static VMATH_INLINE void m3_copy(mat3_t dest, mat3_t src)
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43 {
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44 memcpy(dest, src, sizeof(mat3_t));
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45 }
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46
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47
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48 /* C matrix 4x4 functions */
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49 static VMATH_INLINE void m4_identity(mat4_t m)
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50 {
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51 static const mat4_t id = {{1, 0, 0, 0}, {0, 1, 0, 0}, {0, 0, 1, 0}, {0, 0, 0, 1}};
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52 memcpy(m, id, sizeof id);
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53 }
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54
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55 static VMATH_INLINE void m4_cons(mat4_t m,
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56 scalar_t m11, scalar_t m12, scalar_t m13, scalar_t m14,
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57 scalar_t m21, scalar_t m22, scalar_t m23, scalar_t m24,
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58 scalar_t m31, scalar_t m32, scalar_t m33, scalar_t m34,
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59 scalar_t m41, scalar_t m42, scalar_t m43, scalar_t m44)
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60 {
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61 m[0][0] = m11; m[0][1] = m12; m[0][2] = m13; m[0][3] = m14;
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62 m[1][0] = m21; m[1][1] = m22; m[1][2] = m23; m[1][3] = m24;
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63 m[2][0] = m31; m[2][1] = m32; m[2][2] = m33; m[2][3] = m34;
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64 m[3][0] = m41; m[3][1] = m42; m[3][2] = m43; m[3][3] = m44;
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65 }
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66
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67 static VMATH_INLINE void m4_copy(mat4_t dest, mat4_t src)
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68 {
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69 memcpy(dest, src, sizeof(mat4_t));
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70 }
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71
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72 static VMATH_INLINE void m4_mult(mat4_t res, mat4_t m1, mat4_t m2)
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73 {
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74 mat4_t tmp;
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75
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76 /*
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77 int i, j;
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78 for(i=0; i<4; i++) {
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79 for(j=0; j<4; j++) {
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80 tmp[i][j] = m1[i][0] * m2[0][j] + m1[i][1] * m2[1][j] + m1[i][2] * m2[2][j] + m1[i][3] * m2[3][j];
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81 }
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82 }
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83 */
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84
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85 tmp[0][0] = m1[0][0] * m2[0][0] + m1[0][1] * m2[1][0] + m1[0][2] * m2[2][0] + m1[0][3] * m2[3][0];
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86 tmp[0][1] = m1[0][0] * m2[0][1] + m1[0][1] * m2[1][1] + m1[0][2] * m2[2][1] + m1[0][3] * m2[3][1];
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87 tmp[0][2] = m1[0][0] * m2[0][2] + m1[0][1] * m2[1][2] + m1[0][2] * m2[2][2] + m1[0][3] * m2[3][2];
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88 tmp[0][3] = m1[0][0] * m2[0][3] + m1[0][1] * m2[1][3] + m1[0][2] * m2[2][3] + m1[0][3] * m2[3][3];
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89
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90 tmp[1][0] = m1[1][0] * m2[0][0] + m1[1][1] * m2[1][0] + m1[1][2] * m2[2][0] + m1[1][3] * m2[3][0];
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91 tmp[1][1] = m1[1][0] * m2[0][1] + m1[1][1] * m2[1][1] + m1[1][2] * m2[2][1] + m1[1][3] * m2[3][1];
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92 tmp[1][2] = m1[1][0] * m2[0][2] + m1[1][1] * m2[1][2] + m1[1][2] * m2[2][2] + m1[1][3] * m2[3][2];
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93 tmp[1][3] = m1[1][0] * m2[0][3] + m1[1][1] * m2[1][3] + m1[1][2] * m2[2][3] + m1[1][3] * m2[3][3];
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94
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95 tmp[2][0] = m1[2][0] * m2[0][0] + m1[2][1] * m2[1][0] + m1[2][2] * m2[2][0] + m1[2][3] * m2[3][0];
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96 tmp[2][1] = m1[2][0] * m2[0][1] + m1[2][1] * m2[1][1] + m1[2][2] * m2[2][1] + m1[2][3] * m2[3][1];
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97 tmp[2][2] = m1[2][0] * m2[0][2] + m1[2][1] * m2[1][2] + m1[2][2] * m2[2][2] + m1[2][3] * m2[3][2];
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98 tmp[2][3] = m1[2][0] * m2[0][3] + m1[2][1] * m2[1][3] + m1[2][2] * m2[2][3] + m1[2][3] * m2[3][3];
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99
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100 tmp[3][0] = m1[3][0] * m2[0][0] + m1[3][1] * m2[1][0] + m1[3][2] * m2[2][0] + m1[3][3] * m2[3][0];
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101 tmp[3][1] = m1[3][0] * m2[0][1] + m1[3][1] * m2[1][1] + m1[3][2] * m2[2][1] + m1[3][3] * m2[3][1];
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102 tmp[3][2] = m1[3][0] * m2[0][2] + m1[3][1] * m2[1][2] + m1[3][2] * m2[2][2] + m1[3][3] * m2[3][2];
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103 tmp[3][3] = m1[3][0] * m2[0][3] + m1[3][1] * m2[1][3] + m1[3][2] * m2[2][3] + m1[3][3] * m2[3][3];
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104
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105 m4_copy(res, tmp);
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106 }
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107
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108 static VMATH_INLINE void m4_set_column(mat4_t m, vec4_t v, int idx)
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109 {
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110 m[0][idx] = v.x;
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111 m[1][idx] = v.y;
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112 m[2][idx] = v.z;
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113 m[3][idx] = v.w;
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114 }
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115
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116 static VMATH_INLINE void m4_set_row(mat4_t m, vec4_t v, int idx)
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117 {
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118 m[idx][0] = v.x;
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119 m[idx][1] = v.y;
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120 m[idx][2] = v.z;
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121 m[idx][3] = v.w;
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122 }
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123
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124 #ifdef __cplusplus
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125 } /* extern "C" */
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126
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127
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128 /* unrolled to hell and VMATH_INLINE */
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129 VMATH_INLINE Matrix4x4 operator *(const Matrix4x4 &m1, const Matrix4x4 &m2)
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130 {
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131 Matrix4x4 res;
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132
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133 /*
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134 for(i=0; i<4; i++) {
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135 for(j=0; j<4; j++) {
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136 res.m[i][j] = m1.m[i][0] * m2.m[0][j] + m1.m[i][1] * m2.m[1][j] + m1.m[i][2] * m2.m[2][j] + m1.m[i][3] * m2.m[3][j];
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137 }
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138 }
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139 */
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140
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141 res.m[0][0] = m1.m[0][0] * m2.m[0][0] + m1.m[0][1] * m2.m[1][0] + m1.m[0][2] * m2.m[2][0] + m1.m[0][3] * m2.m[3][0];
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142 res.m[0][1] = m1.m[0][0] * m2.m[0][1] + m1.m[0][1] * m2.m[1][1] + m1.m[0][2] * m2.m[2][1] + m1.m[0][3] * m2.m[3][1];
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143 res.m[0][2] = m1.m[0][0] * m2.m[0][2] + m1.m[0][1] * m2.m[1][2] + m1.m[0][2] * m2.m[2][2] + m1.m[0][3] * m2.m[3][2];
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144 res.m[0][3] = m1.m[0][0] * m2.m[0][3] + m1.m[0][1] * m2.m[1][3] + m1.m[0][2] * m2.m[2][3] + m1.m[0][3] * m2.m[3][3];
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145
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146 res.m[1][0] = m1.m[1][0] * m2.m[0][0] + m1.m[1][1] * m2.m[1][0] + m1.m[1][2] * m2.m[2][0] + m1.m[1][3] * m2.m[3][0];
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147 res.m[1][1] = m1.m[1][0] * m2.m[0][1] + m1.m[1][1] * m2.m[1][1] + m1.m[1][2] * m2.m[2][1] + m1.m[1][3] * m2.m[3][1];
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148 res.m[1][2] = m1.m[1][0] * m2.m[0][2] + m1.m[1][1] * m2.m[1][2] + m1.m[1][2] * m2.m[2][2] + m1.m[1][3] * m2.m[3][2];
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149 res.m[1][3] = m1.m[1][0] * m2.m[0][3] + m1.m[1][1] * m2.m[1][3] + m1.m[1][2] * m2.m[2][3] + m1.m[1][3] * m2.m[3][3];
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150
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151 res.m[2][0] = m1.m[2][0] * m2.m[0][0] + m1.m[2][1] * m2.m[1][0] + m1.m[2][2] * m2.m[2][0] + m1.m[2][3] * m2.m[3][0];
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152 res.m[2][1] = m1.m[2][0] * m2.m[0][1] + m1.m[2][1] * m2.m[1][1] + m1.m[2][2] * m2.m[2][1] + m1.m[2][3] * m2.m[3][1];
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153 res.m[2][2] = m1.m[2][0] * m2.m[0][2] + m1.m[2][1] * m2.m[1][2] + m1.m[2][2] * m2.m[2][2] + m1.m[2][3] * m2.m[3][2];
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154 res.m[2][3] = m1.m[2][0] * m2.m[0][3] + m1.m[2][1] * m2.m[1][3] + m1.m[2][2] * m2.m[2][3] + m1.m[2][3] * m2.m[3][3];
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155
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156 res.m[3][0] = m1.m[3][0] * m2.m[0][0] + m1.m[3][1] * m2.m[1][0] + m1.m[3][2] * m2.m[2][0] + m1.m[3][3] * m2.m[3][0];
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157 res.m[3][1] = m1.m[3][0] * m2.m[0][1] + m1.m[3][1] * m2.m[1][1] + m1.m[3][2] * m2.m[2][1] + m1.m[3][3] * m2.m[3][1];
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158 res.m[3][2] = m1.m[3][0] * m2.m[0][2] + m1.m[3][1] * m2.m[1][2] + m1.m[3][2] * m2.m[2][2] + m1.m[3][3] * m2.m[3][2];
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159 res.m[3][3] = m1.m[3][0] * m2.m[0][3] + m1.m[3][1] * m2.m[1][3] + m1.m[3][2] * m2.m[2][3] + m1.m[3][3] * m2.m[3][3];
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160
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161 return res;
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162 }
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163
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164 VMATH_INLINE void operator *=(Matrix4x4 &m1, const Matrix4x4 &m2)
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165 {
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166 Matrix4x4 res = m1 * m2;
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167 m1 = res;
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168 }
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169
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170
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171 VMATH_INLINE scalar_t *Matrix3x3::operator [](int index)
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172 {
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173 return m[index];
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174 }
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175
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176 VMATH_INLINE const scalar_t *Matrix3x3::operator [](int index) const
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177 {
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178 return m[index];
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179 }
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180
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181 VMATH_INLINE void Matrix3x3::reset_identity()
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182 {
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183 *this = identity;
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184 }
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185
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186 VMATH_INLINE scalar_t *Matrix4x4::operator [](int index)
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187 {
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188 return m[index];
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189 }
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190
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191 VMATH_INLINE const scalar_t *Matrix4x4::operator [](int index) const
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192 {
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193 return m[index];
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194 }
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195
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196 VMATH_INLINE void Matrix4x4::reset_identity()
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197 {
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198 *this = identity;
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199 }
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200 #endif /* __cplusplus */
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