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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 #ifndef VMATH_MATRIX_H_
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20 #define VMATH_MATRIX_H_
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21
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22 #include <stdio.h>
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23 #include "vmath_types.h"
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24
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25 #ifdef __cplusplus
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26 extern "C" {
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27 #endif /* __cplusplus */
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28
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29 /* C matrix 3x3 functions */
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30 static inline void m3_identity(mat3_t m);
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31 static inline void m3_cons(mat3_t m,
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32 scalar_t m11, scalar_t m12, scalar_t m13,
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33 scalar_t m21, scalar_t m22, scalar_t m23,
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34 scalar_t m31, scalar_t m32, scalar_t m33);
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35 static inline void m3_copy(mat3_t dest, mat3_t src);
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36 void m3_to_m4(mat4_t dest, mat3_t src);
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37
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38 void m3_print(FILE *fp, mat3_t m);
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39
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40 /* C matrix 4x4 functions */
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41 static inline void m4_identity(mat4_t m);
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42 static inline void m4_cons(mat4_t m,
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43 scalar_t m11, scalar_t m12, scalar_t m13, scalar_t m14,
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44 scalar_t m21, scalar_t m22, scalar_t m23, scalar_t m24,
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45 scalar_t m31, scalar_t m32, scalar_t m33, scalar_t m34,
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46 scalar_t m41, scalar_t m42, scalar_t m43, scalar_t m44);
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47 static inline void m4_copy(mat4_t dest, mat4_t src);
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48 void m4_to_m3(mat3_t dest, mat4_t src);
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49
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50 static inline void m4_mult(mat4_t res, mat4_t m1, mat4_t m2);
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51
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52 void m4_translate(mat4_t m, scalar_t x, scalar_t y, scalar_t z);
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53 void m4_rotate(mat4_t m, scalar_t x, scalar_t y, scalar_t z);
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54 void m4_rotate_x(mat4_t m, scalar_t angle);
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55 void m4_rotate_y(mat4_t m, scalar_t angle);
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56 void m4_rotate_z(mat4_t m, scalar_t angle);
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57 void m4_rotate_axis(mat4_t m, scalar_t angle, scalar_t x, scalar_t y, scalar_t z);
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58 void m4_rotate_quat(mat4_t m, quat_t q);
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59 void m4_scale(mat4_t m, scalar_t x, scalar_t y, scalar_t z);
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60 static inline void m4_set_column(mat4_t m, vec4_t v, int idx);
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61 static inline void m4_set_row(mat4_t m, vec4_t v, int idx);
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62
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63 void m4_transpose(mat4_t res, mat4_t m);
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64 scalar_t m4_determinant(mat4_t m);
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65 void m4_adjoint(mat4_t res, mat4_t m);
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66 void m4_inverse(mat4_t res, mat4_t m);
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67
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68 void m4_print(FILE *fp, mat4_t m);
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69
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70 #ifdef __cplusplus
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71 }
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72
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73 /* when included from C++ source files, also define the matrix classes */
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74 #include <iostream>
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75
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76 /** 3x3 matrix */
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77 class Matrix3x3 {
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78 private:
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79 scalar_t m[3][3];
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80
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81 public:
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82
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83 static Matrix3x3 identity;
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84
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85 Matrix3x3();
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86 Matrix3x3( scalar_t m11, scalar_t m12, scalar_t m13,
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87 scalar_t m21, scalar_t m22, scalar_t m23,
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88 scalar_t m31, scalar_t m32, scalar_t m33);
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89 Matrix3x3(const Vector3 &ivec, const Vector3 &jvec, const Vector3 &kvec);
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90 Matrix3x3(const mat3_t cmat);
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91
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92 Matrix3x3(const Matrix4x4 &mat4x4);
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93
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94 /* binary operations matrix (op) matrix */
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95 friend Matrix3x3 operator +(const Matrix3x3 &m1, const Matrix3x3 &m2);
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96 friend Matrix3x3 operator -(const Matrix3x3 &m1, const Matrix3x3 &m2);
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97 friend Matrix3x3 operator *(const Matrix3x3 &m1, const Matrix3x3 &m2);
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98
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99 friend void operator +=(Matrix3x3 &m1, const Matrix3x3 &m2);
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100 friend void operator -=(Matrix3x3 &m1, const Matrix3x3 &m2);
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101 friend void operator *=(Matrix3x3 &m1, const Matrix3x3 &m2);
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102
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103 /* binary operations matrix (op) scalar and scalar (op) matrix */
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104 friend Matrix3x3 operator *(const Matrix3x3 &mat, scalar_t scalar);
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105 friend Matrix3x3 operator *(scalar_t scalar, const Matrix3x3 &mat);
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106
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107 friend void operator *=(Matrix3x3 &mat, scalar_t scalar);
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108
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109 inline scalar_t *operator [](int index);
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110 inline const scalar_t *operator [](int index) const;
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111
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112 inline void reset_identity();
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113
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114 void translate(const Vector2 &trans);
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115 void set_translation(const Vector2 &trans);
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116
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117 void rotate(scalar_t angle); /* 2d rotation */
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118 void rotate(const Vector3 &euler_angles); /* 3d rotation with euler angles */
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119 void rotate(const Vector3 &axis, scalar_t angle); /* 3d axis/angle rotation */
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120 void set_rotation(scalar_t angle);
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121 void set_rotation(const Vector3 &euler_angles);
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122 void set_rotation(const Vector3 &axis, scalar_t angle);
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123
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124 void scale(const Vector3 &scale_vec);
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125 void set_scaling(const Vector3 &scale_vec);
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126
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127 void set_column_vector(const Vector3 &vec, unsigned int col_index);
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128 void set_row_vector(const Vector3 &vec, unsigned int row_index);
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129 Vector3 get_column_vector(unsigned int col_index) const;
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130 Vector3 get_row_vector(unsigned int row_index) const;
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131
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132 void transpose();
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133 Matrix3x3 transposed() const;
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134 scalar_t determinant() const;
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135 Matrix3x3 inverse() const;
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136
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137 friend std::ostream &operator <<(std::ostream &out, const Matrix3x3 &mat);
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138 };
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139
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140 /** 4x4 matrix */
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141 class Matrix4x4 {
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142 private:
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143 scalar_t m[4][4];
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144
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145 public:
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146
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147 static Matrix4x4 identity;
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148
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149 Matrix4x4();
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150 Matrix4x4( scalar_t m11, scalar_t m12, scalar_t m13, scalar_t m14,
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151 scalar_t m21, scalar_t m22, scalar_t m23, scalar_t m24,
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152 scalar_t m31, scalar_t m32, scalar_t m33, scalar_t m34,
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153 scalar_t m41, scalar_t m42, scalar_t m43, scalar_t m44);
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154 Matrix4x4(const mat4_t cmat);
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155
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156 Matrix4x4(const Matrix3x3 &mat3x3);
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157
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158 /* binary operations matrix (op) matrix */
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159 friend Matrix4x4 operator +(const Matrix4x4 &m1, const Matrix4x4 &m2);
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160 friend Matrix4x4 operator -(const Matrix4x4 &m1, const Matrix4x4 &m2);
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161 friend Matrix4x4 operator *(const Matrix4x4 &m1, const Matrix4x4 &m2);
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162
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163 friend void operator +=(Matrix4x4 &m1, const Matrix4x4 &m2);
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164 friend void operator -=(Matrix4x4 &m1, const Matrix4x4 &m2);
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165 friend inline void operator *=(Matrix4x4 &m1, const Matrix4x4 &m2);
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166
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167 /* binary operations matrix (op) scalar and scalar (op) matrix */
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168 friend Matrix4x4 operator *(const Matrix4x4 &mat, scalar_t scalar);
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169 friend Matrix4x4 operator *(scalar_t scalar, const Matrix4x4 &mat);
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170
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171 friend void operator *=(Matrix4x4 &mat, scalar_t scalar);
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172
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173 inline scalar_t *operator [](int index);
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174 inline const scalar_t *operator [](int index) const;
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175
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176 inline void reset_identity();
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177
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178 void translate(const Vector3 &trans);
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179 void set_translation(const Vector3 &trans);
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180
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181 void rotate(const Vector3 &euler_angles); /* 3d rotation with euler angles */
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182 void rotate(const Vector3 &axis, scalar_t angle); /* 3d axis/angle rotation */
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183 void set_rotation(const Vector3 &euler_angles);
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184 void set_rotation(const Vector3 &axis, scalar_t angle);
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185
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186 void scale(const Vector4 &scale_vec);
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187 void set_scaling(const Vector4 &scale_vec);
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188
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189 void set_column_vector(const Vector4 &vec, unsigned int col_index);
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190 void set_row_vector(const Vector4 &vec, unsigned int row_index);
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191 Vector4 get_column_vector(unsigned int col_index) const;
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192 Vector4 get_row_vector(unsigned int row_index) const;
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193
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194 void transpose();
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195 Matrix4x4 transposed() const;
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196 scalar_t determinant() const;
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197 Matrix4x4 adjoint() const;
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198 Matrix4x4 inverse() const;
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199
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200 friend std::ostream &operator <<(std::ostream &out, const Matrix4x4 &mat);
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201 };
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202 #endif /* __cplusplus */
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203
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204 #include "matrix.inl"
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205
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206 #endif /* VMATH_MATRIX_H_ */
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