1 | // |
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2 | // Lol Engine |
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3 | // |
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4 | // Copyright: (c) 2010-2012 Sam Hocevar <sam@hocevar.net> |
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5 | // This program is free software; you can redistribute it and/or |
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6 | // modify it under the terms of the Do What The Fuck You Want To |
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7 | // Public License, Version 2, as published by Sam Hocevar. See |
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8 | // http://sam.zoy.org/projects/COPYING.WTFPL for more details. |
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9 | // |
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10 | |
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11 | // |
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12 | // The vector, complex, quaternion and matrix classes |
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13 | // -------------------------------------------------- |
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14 | // |
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15 | |
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16 | #if !defined __LOL_MATH_VECTOR_H__ |
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17 | #define __LOL_MATH_VECTOR_H__ |
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18 | |
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19 | #include <stdint.h> |
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20 | #include <cmath> |
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21 | #if !defined __ANDROID__ |
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22 | # include <iostream> |
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23 | #endif |
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24 | |
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25 | #include "lol/math/half.h" |
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26 | #include "lol/math/real.h" |
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27 | |
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28 | namespace lol |
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29 | { |
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30 | |
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31 | /* Some compilers do not support const members in anonymous unions. So |
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32 | * far, GCC (>= 4.6), CLang (3.0) and Visual Studio (>= 2010) appear to |
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33 | * work properly. */ |
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34 | #undef LOL_NO_CONST_MEMBERS_IN_ANONYMOUS_UNIONS |
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35 | #if defined __GNUC__ && (__GNUC__ < 4 || (__GNUC__ == 4 && __GNUC_MINOR__ < 6)) |
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36 | # define LOL_NO_CONST_MEMBERS_IN_ANONYMOUS_UNIONS 1 |
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37 | #endif |
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38 | |
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39 | #define DECLARE_VECTOR_TYPEDEFS(tname, suffix) \ |
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40 | template <typename T> struct tname; \ |
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41 | typedef tname<half> f16##suffix; \ |
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42 | typedef tname<float> suffix; \ |
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43 | typedef tname<double> f64##suffix; \ |
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44 | typedef tname<int8_t> i8##suffix; \ |
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45 | typedef tname<uint8_t> u8##suffix; \ |
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46 | typedef tname<int16_t> i16##suffix; \ |
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47 | typedef tname<uint16_t> u16##suffix; \ |
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48 | typedef tname<int32_t> i##suffix; \ |
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49 | typedef tname<uint32_t> u##suffix; \ |
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50 | typedef tname<int64_t> i64##suffix; \ |
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51 | typedef tname<uint64_t> u64##suffix; \ |
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52 | typedef tname<real> r##suffix; \ |
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53 | |
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54 | DECLARE_VECTOR_TYPEDEFS(Vec2, vec2) |
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55 | DECLARE_VECTOR_TYPEDEFS(Cmplx, cmplx) |
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56 | DECLARE_VECTOR_TYPEDEFS(Vec3, vec3) |
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57 | DECLARE_VECTOR_TYPEDEFS(Vec4, vec4) |
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58 | DECLARE_VECTOR_TYPEDEFS(Quat, quat) |
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59 | DECLARE_VECTOR_TYPEDEFS(Mat2, mat2) |
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60 | DECLARE_VECTOR_TYPEDEFS(Mat3, mat3) |
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61 | DECLARE_VECTOR_TYPEDEFS(Mat4, mat4) |
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62 | |
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63 | /* |
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64 | * Magic vector swizzling (part 1/2) |
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65 | * These vectors are empty, but thanks to static_cast we can take their |
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66 | * address and access the vector of T's that they are union'ed with. We |
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67 | * use static_cast instead of reinterpret_cast because there is a stronger |
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68 | * guarantee (by the standard) that the address will stay the same across |
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69 | * casts. |
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70 | */ |
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71 | |
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72 | template<typename T, int N> struct XVec2 |
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73 | { |
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74 | inline Vec2<T> operator =(Vec2<T> const &that); |
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75 | |
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76 | inline T& operator[](size_t n) |
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77 | { |
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78 | int i = (N >> (4 * (1 - n))) & 3; |
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79 | return static_cast<T*>(static_cast<void*>(this))[i]; |
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80 | } |
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81 | inline T const& operator[](size_t n) const |
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82 | { |
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83 | int i = (N >> (4 * (1 - n))) & 3; |
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84 | return static_cast<T const*>(static_cast<void const *>(this))[i]; |
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85 | } |
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86 | }; |
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87 | |
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88 | template<typename T, int N> struct XVec3 |
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89 | { |
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90 | inline Vec3<T> operator =(Vec3<T> const &that); |
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91 | |
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92 | inline T& operator[](size_t n) |
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93 | { |
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94 | int i = (N >> (4 * (2 - n))) & 3; |
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95 | return static_cast<T*>(static_cast<void*>(this))[i]; |
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96 | } |
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97 | inline T const& operator[](size_t n) const |
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98 | { |
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99 | int i = (N >> (4 * (2 - n))) & 3; |
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100 | return static_cast<T const*>(static_cast<void const *>(this))[i]; |
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101 | } |
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102 | }; |
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103 | |
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104 | template<typename T, int N> struct XVec4 |
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105 | { |
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106 | inline Vec4<T> operator =(Vec4<T> const &that); |
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107 | |
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108 | inline T& operator[](size_t n) |
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109 | { |
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110 | int i = (N >> (4 * (3 - n))) & 3; |
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111 | return static_cast<T*>(static_cast<void*>(this))[i]; |
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112 | } |
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113 | inline T const& operator[](size_t n) const |
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114 | { |
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115 | int i = (N >> (4 * (3 - n))) & 3; |
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116 | return static_cast<T const*>(static_cast<void const *>(this))[i]; |
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117 | } |
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118 | }; |
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119 | |
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120 | /* |
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121 | * Helper macro for vector type member functions |
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122 | */ |
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123 | |
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124 | #define DECLARE_MEMBER_OPS(tname) \ |
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125 | inline T& operator[](size_t n) { return *(&this->x + n); } \ |
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126 | inline T const& operator[](size_t n) const { return *(&this->x + n); } \ |
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127 | \ |
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128 | /* Visual Studio insists on having an assignment operator. */ \ |
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129 | inline tname<T> const & operator =(tname<T> const &that) \ |
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130 | { \ |
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131 | for (size_t n = 0; n < sizeof(*this) / sizeof(T); n++) \ |
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132 | (*this)[n] = that[n]; \ |
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133 | return *this; \ |
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134 | } \ |
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135 | \ |
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136 | template<typename U> \ |
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137 | inline operator tname<U>() const \ |
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138 | { \ |
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139 | tname<U> ret; \ |
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140 | for (size_t n = 0; n < sizeof(*this) / sizeof(T); n++) \ |
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141 | ret[n] = static_cast<U>((*this)[n]); \ |
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142 | return ret; \ |
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143 | } \ |
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144 | \ |
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145 | void printf() const; |
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146 | |
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147 | /* |
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148 | * 2-element vectors |
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149 | */ |
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150 | |
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151 | template <typename T> struct BVec2 |
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152 | { |
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153 | explicit inline BVec2() {} |
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154 | explicit inline BVec2(T X, T Y) : x(X), y(Y) {} |
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155 | |
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156 | union |
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157 | { |
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158 | struct { T x, y; }; |
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159 | struct { T r, g; }; |
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160 | struct { T s, t; }; |
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161 | |
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162 | #if LOL_NO_CONST_MEMBERS_IN_ANONYMOUS_UNIONS |
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163 | # define const /* disabled */ |
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164 | #endif |
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165 | XVec2<T,0x00> const xx, rr, ss; |
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166 | XVec2<T,0x01> const xy, rg, st; /* lvalue */ |
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167 | XVec2<T,0x10> const yx, gr, ts; /* lvalue */ |
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168 | XVec2<T,0x11> const yy, gg, tt; |
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169 | |
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170 | XVec3<T,0x000> const xxx, rrr, sss; |
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171 | XVec3<T,0x001> const xxy, rrg, sst; |
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172 | XVec3<T,0x010> const xyx, rgr, sts; |
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173 | XVec3<T,0x011> const xyy, rgg, stt; |
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174 | XVec3<T,0x100> const yxx, grr, tss; |
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175 | XVec3<T,0x101> const yxy, grg, tst; |
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176 | XVec3<T,0x110> const yyx, ggr, tts; |
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177 | XVec3<T,0x111> const yyy, ggg, ttt; |
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178 | |
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179 | XVec4<T,0x0000> const xxxx, rrrr, ssss; |
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180 | XVec4<T,0x0001> const xxxy, rrrg, ssst; |
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181 | XVec4<T,0x0010> const xxyx, rrgr, ssts; |
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182 | XVec4<T,0x0011> const xxyy, rrgg, sstt; |
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183 | XVec4<T,0x0100> const xyxx, rgrr, stss; |
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184 | XVec4<T,0x0101> const xyxy, rgrg, stst; |
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185 | XVec4<T,0x0110> const xyyx, rggr, stts; |
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186 | XVec4<T,0x0111> const xyyy, rggg, sttt; |
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187 | XVec4<T,0x1000> const yxxx, grrr, tsss; |
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188 | XVec4<T,0x1001> const yxxy, grrg, tsst; |
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189 | XVec4<T,0x1010> const yxyx, grgr, tsts; |
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190 | XVec4<T,0x1011> const yxyy, grgg, tstt; |
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191 | XVec4<T,0x1100> const yyxx, ggrr, ttss; |
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192 | XVec4<T,0x1101> const yyxy, ggrg, ttst; |
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193 | XVec4<T,0x1110> const yyyx, gggr, ttts; |
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194 | XVec4<T,0x1111> const yyyy, gggg, tttt; |
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195 | #if LOL_NO_CONST_MEMBERS_IN_ANONYMOUS_UNIONS |
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196 | # undef const |
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197 | #endif |
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198 | }; |
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199 | }; |
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200 | |
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201 | template <> struct BVec2<half> |
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202 | { |
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203 | explicit inline BVec2() {} |
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204 | explicit inline BVec2(half X, half Y) : x(X), y(Y) {} |
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205 | |
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206 | half x, y; |
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207 | }; |
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208 | |
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209 | template <> struct BVec2<real> |
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210 | { |
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211 | explicit inline BVec2() {} |
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212 | explicit inline BVec2(real X, real Y) : x(X), y(Y) {} |
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213 | |
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214 | real x, y; |
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215 | }; |
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216 | |
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217 | template <typename T> struct Vec2 : BVec2<T> |
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218 | { |
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219 | inline Vec2() {} |
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220 | inline Vec2(T X, T Y) : BVec2<T>(X, Y) {} |
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221 | |
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222 | explicit inline Vec2(T X) : BVec2<T>(X, X) {} |
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223 | |
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224 | template<int N> |
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225 | inline Vec2(XVec2<T, N> const &v) |
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226 | : BVec2<T>(v[0], v[1]) {} |
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227 | |
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228 | template<typename U, int N> |
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229 | explicit inline Vec2(XVec2<U, N> const &v) |
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230 | : BVec2<T>(v[0], v[1]) {} |
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231 | |
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232 | DECLARE_MEMBER_OPS(Vec2) |
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233 | |
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234 | #if !defined __ANDROID__ |
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235 | template<typename U> |
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236 | friend std::ostream &operator<<(std::ostream &stream, Vec2<U> const &v); |
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237 | #endif |
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238 | }; |
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239 | |
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240 | /* |
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241 | * 2-element complexes |
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242 | */ |
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243 | |
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244 | template <typename T> struct Cmplx |
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245 | { |
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246 | inline Cmplx() {} |
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247 | inline Cmplx(T X) : x(X), y(0) {} |
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248 | inline Cmplx(T X, T Y) : x(X), y(Y) {} |
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249 | |
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250 | DECLARE_MEMBER_OPS(Cmplx) |
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251 | |
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252 | inline Cmplx<T> operator *(Cmplx<T> const &val) const |
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253 | { |
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254 | return Cmplx<T>(x * val.x - y * val.y, x * val.y + y * val.x); |
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255 | } |
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256 | |
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257 | inline Cmplx<T> operator *=(Cmplx<T> const &val) |
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258 | { |
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259 | return *this = (*this) * val; |
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260 | } |
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261 | |
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262 | inline Cmplx<T> operator ~() const |
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263 | { |
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264 | return Cmplx<T>(x, -y); |
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265 | } |
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266 | |
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267 | inline T norm() const { return len(*this); } |
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268 | #if !defined __ANDROID__ |
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269 | template<typename U> |
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270 | friend std::ostream &operator<<(std::ostream &stream, Cmplx<U> const &v); |
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271 | #endif |
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272 | |
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273 | T x, y; |
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274 | }; |
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275 | |
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276 | template<typename T> |
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277 | static inline Cmplx<T> re(Cmplx<T> const &val) |
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278 | { |
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279 | return ~val / sqlen(val); |
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280 | } |
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281 | |
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282 | template<typename T> |
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283 | static inline Cmplx<T> operator /(T a, Cmplx<T> const &b) |
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284 | { |
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285 | return a * re(b); |
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286 | } |
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287 | |
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288 | template<typename T> |
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289 | static inline Cmplx<T> operator /(Cmplx<T> a, Cmplx<T> const &b) |
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290 | { |
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291 | return a * re(b); |
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292 | } |
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293 | |
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294 | template<typename T> |
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295 | static inline bool operator ==(Cmplx<T> const &a, T b) |
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296 | { |
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297 | return (a.x == b) && !a.y; |
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298 | } |
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299 | |
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300 | template<typename T> |
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301 | static inline bool operator !=(Cmplx<T> const &a, T b) |
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302 | { |
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303 | return (a.x != b) || a.y; |
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304 | } |
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305 | |
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306 | template<typename T> |
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307 | static inline bool operator ==(T a, Cmplx<T> const &b) { return b == a; } |
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308 | |
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309 | template<typename T> |
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310 | static inline bool operator !=(T a, Cmplx<T> const &b) { return b != a; } |
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311 | |
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312 | /* |
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313 | * 3-element vectors |
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314 | */ |
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315 | |
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316 | template <typename T> struct BVec3 |
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317 | { |
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318 | explicit inline BVec3() {} |
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319 | explicit inline BVec3(T X, T Y, T Z) : x(X), y(Y), z(Z) {} |
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320 | |
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321 | union |
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322 | { |
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323 | struct { T x, y, z; }; |
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324 | struct { T r, g, b; }; |
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325 | struct { T s, t, p; }; |
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326 | |
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327 | #if LOL_NO_CONST_MEMBERS_IN_ANONYMOUS_UNIONS |
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328 | # define const /* disabled */ |
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329 | #endif |
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330 | XVec2<T,0x00> const xx, rr, ss; |
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331 | XVec2<T,0x01> const xy, rg, st; /* lvalue */ |
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332 | XVec2<T,0x02> const xz, rb, sp; /* lvalue */ |
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333 | XVec2<T,0x10> const yx, gr, ts; /* lvalue */ |
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334 | XVec2<T,0x11> const yy, gg, tt; |
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335 | XVec2<T,0x12> const yz, gb, tp; /* lvalue */ |
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336 | XVec2<T,0x20> const zx, br, ps; /* lvalue */ |
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337 | XVec2<T,0x21> const zy, bg, pt; /* lvalue */ |
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338 | XVec2<T,0x22> const zz, bb, pp; |
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339 | |
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340 | XVec3<T,0x000> const xxx, rrr, sss; |
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341 | XVec3<T,0x001> const xxy, rrg, sst; |
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342 | XVec3<T,0x002> const xxz, rrb, ssp; |
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343 | XVec3<T,0x010> const xyx, rgr, sts; |
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344 | XVec3<T,0x011> const xyy, rgg, stt; |
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345 | XVec3<T,0x012> const xyz, rgb, stp; /* lvalue */ |
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346 | XVec3<T,0x020> const xzx, rbr, sps; |
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347 | XVec3<T,0x021> const xzy, rbg, spt; /* lvalue */ |
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348 | XVec3<T,0x022> const xzz, rbb, spp; |
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349 | XVec3<T,0x100> const yxx, grr, tss; |
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350 | XVec3<T,0x101> const yxy, grg, tst; |
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351 | XVec3<T,0x102> const yxz, grb, tsp; /* lvalue */ |
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352 | XVec3<T,0x110> const yyx, ggr, tts; |
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353 | XVec3<T,0x111> const yyy, ggg, ttt; |
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354 | XVec3<T,0x112> const yyz, ggb, ttp; |
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355 | XVec3<T,0x120> const yzx, gbr, tps; /* lvalue */ |
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356 | XVec3<T,0x121> const yzy, gbg, tpt; |
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357 | XVec3<T,0x122> const yzz, gbb, tpp; |
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358 | XVec3<T,0x200> const zxx, brr, pss; |
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359 | XVec3<T,0x201> const zxy, brg, pst; /* lvalue */ |
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360 | XVec3<T,0x202> const zxz, brb, psp; |
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361 | XVec3<T,0x210> const zyx, bgr, pts; /* lvalue */ |
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362 | XVec3<T,0x211> const zyy, bgg, ptt; |
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363 | XVec3<T,0x212> const zyz, bgb, ptp; |
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364 | XVec3<T,0x220> const zzx, bbr, pps; |
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365 | XVec3<T,0x221> const zzy, bbg, ppt; |
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366 | XVec3<T,0x222> const zzz, bbb, ppp; |
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367 | |
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368 | XVec4<T,0x0000> const xxxx, rrrr, ssss; |
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369 | XVec4<T,0x0001> const xxxy, rrrg, ssst; |
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370 | XVec4<T,0x0002> const xxxz, rrrb, sssp; |
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371 | XVec4<T,0x0010> const xxyx, rrgr, ssts; |
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372 | XVec4<T,0x0011> const xxyy, rrgg, sstt; |
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373 | XVec4<T,0x0012> const xxyz, rrgb, sstp; |
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374 | XVec4<T,0x0020> const xxzx, rrbr, ssps; |
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375 | XVec4<T,0x0021> const xxzy, rrbg, sspt; |
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376 | XVec4<T,0x0022> const xxzz, rrbb, sspp; |
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377 | XVec4<T,0x0100> const xyxx, rgrr, stss; |
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378 | XVec4<T,0x0101> const xyxy, rgrg, stst; |
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379 | XVec4<T,0x0102> const xyxz, rgrb, stsp; |
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380 | XVec4<T,0x0110> const xyyx, rggr, stts; |
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381 | XVec4<T,0x0111> const xyyy, rggg, sttt; |
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382 | XVec4<T,0x0112> const xyyz, rggb, sttp; |
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383 | XVec4<T,0x0120> const xyzx, rgbr, stps; |
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384 | XVec4<T,0x0121> const xyzy, rgbg, stpt; |
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385 | XVec4<T,0x0122> const xyzz, rgbb, stpp; |
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386 | XVec4<T,0x0200> const xzxx, rbrr, spss; |
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387 | XVec4<T,0x0201> const xzxy, rbrg, spst; |
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388 | XVec4<T,0x0202> const xzxz, rbrb, spsp; |
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389 | XVec4<T,0x0210> const xzyx, rbgr, spts; |
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390 | XVec4<T,0x0211> const xzyy, rbgg, sptt; |
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391 | XVec4<T,0x0212> const xzyz, rbgb, sptp; |
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392 | XVec4<T,0x0220> const xzzx, rbbr, spps; |
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393 | XVec4<T,0x0221> const xzzy, rbbg, sppt; |
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394 | XVec4<T,0x0222> const xzzz, rbbb, sppp; |
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395 | XVec4<T,0x1000> const yxxx, grrr, tsss; |
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396 | XVec4<T,0x1001> const yxxy, grrg, tsst; |
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397 | XVec4<T,0x1002> const yxxz, grrb, tssp; |
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398 | XVec4<T,0x1010> const yxyx, grgr, tsts; |
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399 | XVec4<T,0x1011> const yxyy, grgg, tstt; |
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400 | XVec4<T,0x1012> const yxyz, grgb, tstp; |
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401 | XVec4<T,0x1020> const yxzx, grbr, tsps; |
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402 | XVec4<T,0x1021> const yxzy, grbg, tspt; |
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403 | XVec4<T,0x1022> const yxzz, grbb, tspp; |
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404 | XVec4<T,0x1100> const yyxx, ggrr, ttss; |
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405 | XVec4<T,0x1101> const yyxy, ggrg, ttst; |
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406 | XVec4<T,0x1102> const yyxz, ggrb, ttsp; |
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407 | XVec4<T,0x1110> const yyyx, gggr, ttts; |
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408 | XVec4<T,0x1111> const yyyy, gggg, tttt; |
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409 | XVec4<T,0x1112> const yyyz, gggb, tttp; |
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410 | XVec4<T,0x1120> const yyzx, ggbr, ttps; |
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411 | XVec4<T,0x1121> const yyzy, ggbg, ttpt; |
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412 | XVec4<T,0x1122> const yyzz, ggbb, ttpp; |
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413 | XVec4<T,0x1200> const yzxx, gbrr, tpss; |
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414 | XVec4<T,0x1201> const yzxy, gbrg, tpst; |
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415 | XVec4<T,0x1202> const yzxz, gbrb, tpsp; |
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416 | XVec4<T,0x1210> const yzyx, gbgr, tpts; |
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417 | XVec4<T,0x1211> const yzyy, gbgg, tptt; |
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418 | XVec4<T,0x1212> const yzyz, gbgb, tptp; |
---|
419 | XVec4<T,0x1220> const yzzx, gbbr, tpps; |
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420 | XVec4<T,0x1221> const yzzy, gbbg, tppt; |
---|
421 | XVec4<T,0x1222> const yzzz, gbbb, tppp; |
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422 | XVec4<T,0x2000> const zxxx, brrr, psss; |
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423 | XVec4<T,0x2001> const zxxy, brrg, psst; |
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424 | XVec4<T,0x2002> const zxxz, brrb, pssp; |
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425 | XVec4<T,0x2010> const zxyx, brgr, psts; |
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426 | XVec4<T,0x2011> const zxyy, brgg, pstt; |
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427 | XVec4<T,0x2012> const zxyz, brgb, pstp; |
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428 | XVec4<T,0x2020> const zxzx, brbr, psps; |
---|
429 | XVec4<T,0x2021> const zxzy, brbg, pspt; |
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430 | XVec4<T,0x2022> const zxzz, brbb, pspp; |
---|
431 | XVec4<T,0x2100> const zyxx, bgrr, ptss; |
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432 | XVec4<T,0x2101> const zyxy, bgrg, ptst; |
---|
433 | XVec4<T,0x2102> const zyxz, bgrb, ptsp; |
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434 | XVec4<T,0x2110> const zyyx, bggr, ptts; |
---|
435 | XVec4<T,0x2111> const zyyy, bggg, pttt; |
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436 | XVec4<T,0x2112> const zyyz, bggb, pttp; |
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437 | XVec4<T,0x2120> const zyzx, bgbr, ptps; |
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438 | XVec4<T,0x2121> const zyzy, bgbg, ptpt; |
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439 | XVec4<T,0x2122> const zyzz, bgbb, ptpp; |
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440 | XVec4<T,0x2200> const zzxx, bbrr, ppss; |
---|
441 | XVec4<T,0x2201> const zzxy, bbrg, ppst; |
---|
442 | XVec4<T,0x2202> const zzxz, bbrb, ppsp; |
---|
443 | XVec4<T,0x2210> const zzyx, bbgr, ppts; |
---|
444 | XVec4<T,0x2211> const zzyy, bbgg, pptt; |
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445 | XVec4<T,0x2212> const zzyz, bbgb, pptp; |
---|
446 | XVec4<T,0x2220> const zzzx, bbbr, ppps; |
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447 | XVec4<T,0x2221> const zzzy, bbbg, pppt; |
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448 | XVec4<T,0x2222> const zzzz, bbbb, pppp; |
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449 | #if LOL_NO_CONST_MEMBERS_IN_ANONYMOUS_UNIONS |
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450 | # undef const |
---|
451 | #endif |
---|
452 | }; |
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453 | }; |
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454 | |
---|
455 | template <> struct BVec3<half> |
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456 | { |
---|
457 | explicit inline BVec3() {} |
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458 | explicit inline BVec3(half X, half Y, half Z) : x(X), y(Y), z(Z) {} |
---|
459 | |
---|
460 | half x, y, z; |
---|
461 | }; |
---|
462 | |
---|
463 | template <> struct BVec3<real> |
---|
464 | { |
---|
465 | explicit inline BVec3() {} |
---|
466 | explicit inline BVec3(real X, real Y, real Z) : x(X), y(Y), z(Z) {} |
---|
467 | |
---|
468 | real x, y, z; |
---|
469 | }; |
---|
470 | |
---|
471 | template <typename T> struct Vec3 : BVec3<T> |
---|
472 | { |
---|
473 | inline Vec3() {} |
---|
474 | inline Vec3(T X, T Y, T Z) : BVec3<T>(X, Y, Z) {} |
---|
475 | inline Vec3(Vec2<T> XY, T Z) : BVec3<T>(XY.x, XY.y, Z) {} |
---|
476 | inline Vec3(T X, Vec2<T> YZ) : BVec3<T>(X, YZ.x, YZ.y) {} |
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477 | |
---|
478 | explicit inline Vec3(T X) : BVec3<T>(X, X, X) {} |
---|
479 | |
---|
480 | template<int N> |
---|
481 | inline Vec3(XVec3<T, N> const &v) |
---|
482 | : BVec3<T>(v[0], v[1], v[2]) {} |
---|
483 | |
---|
484 | template<typename U, int N> |
---|
485 | explicit inline Vec3(XVec3<U, N> const &v) |
---|
486 | : BVec3<T>(v[0], v[1], v[2]) {} |
---|
487 | |
---|
488 | DECLARE_MEMBER_OPS(Vec3) |
---|
489 | |
---|
490 | #if !defined __ANDROID__ |
---|
491 | template<typename U> |
---|
492 | friend std::ostream &operator<<(std::ostream &stream, Vec3<U> const &v); |
---|
493 | #endif |
---|
494 | }; |
---|
495 | |
---|
496 | /* |
---|
497 | * 4-element vectors |
---|
498 | */ |
---|
499 | |
---|
500 | template <typename T> struct BVec4 |
---|
501 | { |
---|
502 | explicit inline BVec4() {} |
---|
503 | explicit inline BVec4(T X, T Y, T Z, T W) : x(X), y(Y), z(Z), w(W) {} |
---|
504 | |
---|
505 | union |
---|
506 | { |
---|
507 | struct { T x, y, z, w; }; |
---|
508 | struct { T r, g, b, a; }; |
---|
509 | struct { T s, t, p, q; }; |
---|
510 | |
---|
511 | #if LOL_NO_CONST_MEMBERS_IN_ANONYMOUS_UNIONS |
---|
512 | # define const /* disabled */ |
---|
513 | #endif |
---|
514 | XVec2<T,0x00> const xx, rr, ss; |
---|
515 | XVec2<T,0x01> const xy, rg, st; /* lvalue */ |
---|
516 | XVec2<T,0x02> const xz, rb, sp; /* lvalue */ |
---|
517 | XVec2<T,0x03> const xw, ra, sq; /* lvalue */ |
---|
518 | XVec2<T,0x10> const yx, gr, ts; /* lvalue */ |
---|
519 | XVec2<T,0x11> const yy, gg, tt; |
---|
520 | XVec2<T,0x12> const yz, gb, tp; /* lvalue */ |
---|
521 | XVec2<T,0x13> const yw, ga, tq; /* lvalue */ |
---|
522 | XVec2<T,0x20> const zx, br, ps; /* lvalue */ |
---|
523 | XVec2<T,0x21> const zy, bg, pt; /* lvalue */ |
---|
524 | XVec2<T,0x22> const zz, bb, pp; |
---|
525 | XVec2<T,0x23> const zw, ba, pq; /* lvalue */ |
---|
526 | XVec2<T,0x30> const wx, ar, qs; /* lvalue */ |
---|
527 | XVec2<T,0x31> const wy, ag, qt; /* lvalue */ |
---|
528 | XVec2<T,0x32> const wz, ab, qp; /* lvalue */ |
---|
529 | XVec2<T,0x33> const ww, aa, qq; |
---|
530 | |
---|
531 | XVec3<T,0x000> const xxx, rrr, sss; |
---|
532 | XVec3<T,0x001> const xxy, rrg, sst; |
---|
533 | XVec3<T,0x002> const xxz, rrb, ssp; |
---|
534 | XVec3<T,0x003> const xxw, rra, ssq; |
---|
535 | XVec3<T,0x010> const xyx, rgr, sts; |
---|
536 | XVec3<T,0x011> const xyy, rgg, stt; |
---|
537 | XVec3<T,0x012> const xyz, rgb, stp; /* lvalue */ |
---|
538 | XVec3<T,0x013> const xyw, rga, stq; /* lvalue */ |
---|
539 | XVec3<T,0x020> const xzx, rbr, sps; |
---|
540 | XVec3<T,0x021> const xzy, rbg, spt; /* lvalue */ |
---|
541 | XVec3<T,0x022> const xzz, rbb, spp; |
---|
542 | XVec3<T,0x023> const xzw, rba, spq; /* lvalue */ |
---|
543 | XVec3<T,0x030> const xwx, rar, sqs; |
---|
544 | XVec3<T,0x031> const xwy, rag, sqt; /* lvalue */ |
---|
545 | XVec3<T,0x032> const xwz, rab, sqp; /* lvalue */ |
---|
546 | XVec3<T,0x033> const xww, raa, sqq; |
---|
547 | XVec3<T,0x100> const yxx, grr, tss; |
---|
548 | XVec3<T,0x101> const yxy, grg, tst; |
---|
549 | XVec3<T,0x102> const yxz, grb, tsp; /* lvalue */ |
---|
550 | XVec3<T,0x103> const yxw, gra, tsq; /* lvalue */ |
---|
551 | XVec3<T,0x110> const yyx, ggr, tts; |
---|
552 | XVec3<T,0x111> const yyy, ggg, ttt; |
---|
553 | XVec3<T,0x112> const yyz, ggb, ttp; |
---|
554 | XVec3<T,0x113> const yyw, gga, ttq; |
---|
555 | XVec3<T,0x120> const yzx, gbr, tps; /* lvalue */ |
---|
556 | XVec3<T,0x121> const yzy, gbg, tpt; |
---|
557 | XVec3<T,0x122> const yzz, gbb, tpp; |
---|
558 | XVec3<T,0x123> const yzw, gba, tpq; /* lvalue */ |
---|
559 | XVec3<T,0x130> const ywx, gar, tqs; /* lvalue */ |
---|
560 | XVec3<T,0x131> const ywy, gag, tqt; |
---|
561 | XVec3<T,0x132> const ywz, gab, tqp; /* lvalue */ |
---|
562 | XVec3<T,0x133> const yww, gaa, tqq; |
---|
563 | XVec3<T,0x200> const zxx, brr, pss; |
---|
564 | XVec3<T,0x201> const zxy, brg, pst; /* lvalue */ |
---|
565 | XVec3<T,0x202> const zxz, brb, psp; |
---|
566 | XVec3<T,0x203> const zxw, bra, psq; /* lvalue */ |
---|
567 | XVec3<T,0x210> const zyx, bgr, pts; /* lvalue */ |
---|
568 | XVec3<T,0x211> const zyy, bgg, ptt; |
---|
569 | XVec3<T,0x212> const zyz, bgb, ptp; |
---|
570 | XVec3<T,0x213> const zyw, bga, ptq; /* lvalue */ |
---|
571 | XVec3<T,0x220> const zzx, bbr, pps; |
---|
572 | XVec3<T,0x221> const zzy, bbg, ppt; |
---|
573 | XVec3<T,0x222> const zzz, bbb, ppp; |
---|
574 | XVec3<T,0x223> const zzw, bba, ppq; |
---|
575 | XVec3<T,0x230> const zwx, bar, pqs; /* lvalue */ |
---|
576 | XVec3<T,0x231> const zwy, bag, pqt; /* lvalue */ |
---|
577 | XVec3<T,0x232> const zwz, bab, pqp; |
---|
578 | XVec3<T,0x233> const zww, baa, pqq; |
---|
579 | XVec3<T,0x300> const wxx, arr, qss; |
---|
580 | XVec3<T,0x301> const wxy, arg, qst; /* lvalue */ |
---|
581 | XVec3<T,0x302> const wxz, arb, qsp; /* lvalue */ |
---|
582 | XVec3<T,0x303> const wxw, ara, qsq; |
---|
583 | XVec3<T,0x310> const wyx, agr, qts; /* lvalue */ |
---|
584 | XVec3<T,0x311> const wyy, agg, qtt; |
---|
585 | XVec3<T,0x312> const wyz, agb, qtp; /* lvalue */ |
---|
586 | XVec3<T,0x313> const wyw, aga, qtq; |
---|
587 | XVec3<T,0x320> const wzx, abr, qps; /* lvalue */ |
---|
588 | XVec3<T,0x321> const wzy, abg, qpt; /* lvalue */ |
---|
589 | XVec3<T,0x322> const wzz, abb, qpp; |
---|
590 | XVec3<T,0x323> const wzw, aba, qpq; |
---|
591 | XVec3<T,0x330> const wwx, aar, qqs; |
---|
592 | XVec3<T,0x331> const wwy, aag, qqt; |
---|
593 | XVec3<T,0x332> const wwz, aab, qqp; |
---|
594 | XVec3<T,0x333> const www, aaa, qqq; |
---|
595 | |
---|
596 | XVec4<T,0x0000> const xxxx, rrrr, ssss; |
---|
597 | XVec4<T,0x0001> const xxxy, rrrg, ssst; |
---|
598 | XVec4<T,0x0002> const xxxz, rrrb, sssp; |
---|
599 | XVec4<T,0x0003> const xxxw, rrra, sssq; |
---|
600 | XVec4<T,0x0010> const xxyx, rrgr, ssts; |
---|
601 | XVec4<T,0x0011> const xxyy, rrgg, sstt; |
---|
602 | XVec4<T,0x0012> const xxyz, rrgb, sstp; |
---|
603 | XVec4<T,0x0013> const xxyw, rrga, sstq; |
---|
604 | XVec4<T,0x0020> const xxzx, rrbr, ssps; |
---|
605 | XVec4<T,0x0021> const xxzy, rrbg, sspt; |
---|
606 | XVec4<T,0x0022> const xxzz, rrbb, sspp; |
---|
607 | XVec4<T,0x0023> const xxzw, rrba, sspq; |
---|
608 | XVec4<T,0x0030> const xxwx, rrar, ssqs; |
---|
609 | XVec4<T,0x0031> const xxwy, rrag, ssqt; |
---|
610 | XVec4<T,0x0032> const xxwz, rrab, ssqp; |
---|
611 | XVec4<T,0x0033> const xxww, rraa, ssqq; |
---|
612 | XVec4<T,0x0100> const xyxx, rgrr, stss; |
---|
613 | XVec4<T,0x0101> const xyxy, rgrg, stst; |
---|
614 | XVec4<T,0x0102> const xyxz, rgrb, stsp; |
---|
615 | XVec4<T,0x0103> const xyxw, rgra, stsq; |
---|
616 | XVec4<T,0x0110> const xyyx, rggr, stts; |
---|
617 | XVec4<T,0x0111> const xyyy, rggg, sttt; |
---|
618 | XVec4<T,0x0112> const xyyz, rggb, sttp; |
---|
619 | XVec4<T,0x0113> const xyyw, rgga, sttq; |
---|
620 | XVec4<T,0x0120> const xyzx, rgbr, stps; |
---|
621 | XVec4<T,0x0121> const xyzy, rgbg, stpt; |
---|
622 | XVec4<T,0x0122> const xyzz, rgbb, stpp; |
---|
623 | XVec4<T,0x0123> const xyzw, rgba, stpq; /* lvalue */ |
---|
624 | XVec4<T,0x0130> const xywx, rgar, stqs; |
---|
625 | XVec4<T,0x0131> const xywy, rgag, stqt; |
---|
626 | XVec4<T,0x0132> const xywz, rgab, stqp; /* lvalue */ |
---|
627 | XVec4<T,0x0133> const xyww, rgaa, stqq; |
---|
628 | XVec4<T,0x0200> const xzxx, rbrr, spss; |
---|
629 | XVec4<T,0x0201> const xzxy, rbrg, spst; |
---|
630 | XVec4<T,0x0202> const xzxz, rbrb, spsp; |
---|
631 | XVec4<T,0x0203> const xzxw, rbra, spsq; |
---|
632 | XVec4<T,0x0210> const xzyx, rbgr, spts; |
---|
633 | XVec4<T,0x0211> const xzyy, rbgg, sptt; |
---|
634 | XVec4<T,0x0212> const xzyz, rbgb, sptp; |
---|
635 | XVec4<T,0x0213> const xzyw, rbga, sptq; /* lvalue */ |
---|
636 | XVec4<T,0x0220> const xzzx, rbbr, spps; |
---|
637 | XVec4<T,0x0221> const xzzy, rbbg, sppt; |
---|
638 | XVec4<T,0x0222> const xzzz, rbbb, sppp; |
---|
639 | XVec4<T,0x0223> const xzzw, rbba, sppq; |
---|
640 | XVec4<T,0x0230> const xzwx, rbar, spqs; |
---|
641 | XVec4<T,0x0231> const xzwy, rbag, spqt; /* lvalue */ |
---|
642 | XVec4<T,0x0232> const xzwz, rbab, spqp; |
---|
643 | XVec4<T,0x0233> const xzww, rbaa, spqq; |
---|
644 | XVec4<T,0x0300> const xwxx, rarr, sqss; |
---|
645 | XVec4<T,0x0301> const xwxy, rarg, sqst; |
---|
646 | XVec4<T,0x0302> const xwxz, rarb, sqsp; |
---|
647 | XVec4<T,0x0303> const xwxw, rara, sqsq; |
---|
648 | XVec4<T,0x0310> const xwyx, ragr, sqts; |
---|
649 | XVec4<T,0x0311> const xwyy, ragg, sqtt; |
---|
650 | XVec4<T,0x0312> const xwyz, ragb, sqtp; /* lvalue */ |
---|
651 | XVec4<T,0x0313> const xwyw, raga, sqtq; |
---|
652 | XVec4<T,0x0320> const xwzx, rabr, sqps; |
---|
653 | XVec4<T,0x0321> const xwzy, rabg, sqpt; /* lvalue */ |
---|
654 | XVec4<T,0x0322> const xwzz, rabb, sqpp; |
---|
655 | XVec4<T,0x0323> const xwzw, raba, sqpq; |
---|
656 | XVec4<T,0x0330> const xwwx, raar, sqqs; |
---|
657 | XVec4<T,0x0331> const xwwy, raag, sqqt; |
---|
658 | XVec4<T,0x0332> const xwwz, raab, sqqp; |
---|
659 | XVec4<T,0x0333> const xwww, raaa, sqqq; |
---|
660 | XVec4<T,0x1000> const yxxx, grrr, tsss; |
---|
661 | XVec4<T,0x1001> const yxxy, grrg, tsst; |
---|
662 | XVec4<T,0x1002> const yxxz, grrb, tssp; |
---|
663 | XVec4<T,0x1003> const yxxw, grra, tssq; |
---|
664 | XVec4<T,0x1010> const yxyx, grgr, tsts; |
---|
665 | XVec4<T,0x1011> const yxyy, grgg, tstt; |
---|
666 | XVec4<T,0x1012> const yxyz, grgb, tstp; |
---|
667 | XVec4<T,0x1013> const yxyw, grga, tstq; |
---|
668 | XVec4<T,0x1020> const yxzx, grbr, tsps; |
---|
669 | XVec4<T,0x1021> const yxzy, grbg, tspt; |
---|
670 | XVec4<T,0x1022> const yxzz, grbb, tspp; |
---|
671 | XVec4<T,0x1023> const yxzw, grba, tspq; /* lvalue */ |
---|
672 | XVec4<T,0x1030> const yxwx, grar, tsqs; |
---|
673 | XVec4<T,0x1031> const yxwy, grag, tsqt; |
---|
674 | XVec4<T,0x1032> const yxwz, grab, tsqp; /* lvalue */ |
---|
675 | XVec4<T,0x1033> const yxww, graa, tsqq; |
---|
676 | XVec4<T,0x1100> const yyxx, ggrr, ttss; |
---|
677 | XVec4<T,0x1101> const yyxy, ggrg, ttst; |
---|
678 | XVec4<T,0x1102> const yyxz, ggrb, ttsp; |
---|
679 | XVec4<T,0x1103> const yyxw, ggra, ttsq; |
---|
680 | XVec4<T,0x1110> const yyyx, gggr, ttts; |
---|
681 | XVec4<T,0x1111> const yyyy, gggg, tttt; |
---|
682 | XVec4<T,0x1112> const yyyz, gggb, tttp; |
---|
683 | XVec4<T,0x1113> const yyyw, ggga, tttq; |
---|
684 | XVec4<T,0x1120> const yyzx, ggbr, ttps; |
---|
685 | XVec4<T,0x1121> const yyzy, ggbg, ttpt; |
---|
686 | XVec4<T,0x1122> const yyzz, ggbb, ttpp; |
---|
687 | XVec4<T,0x1123> const yyzw, ggba, ttpq; |
---|
688 | XVec4<T,0x1130> const yywx, ggar, ttqs; |
---|
689 | XVec4<T,0x1131> const yywy, ggag, ttqt; |
---|
690 | XVec4<T,0x1132> const yywz, ggab, ttqp; |
---|
691 | XVec4<T,0x1133> const yyww, ggaa, ttqq; |
---|
692 | XVec4<T,0x1200> const yzxx, gbrr, tpss; |
---|
693 | XVec4<T,0x1201> const yzxy, gbrg, tpst; |
---|
694 | XVec4<T,0x1202> const yzxz, gbrb, tpsp; |
---|
695 | XVec4<T,0x1203> const yzxw, gbra, tpsq; /* lvalue */ |
---|
696 | XVec4<T,0x1210> const yzyx, gbgr, tpts; |
---|
697 | XVec4<T,0x1211> const yzyy, gbgg, tptt; |
---|
698 | XVec4<T,0x1212> const yzyz, gbgb, tptp; |
---|
699 | XVec4<T,0x1213> const yzyw, gbga, tptq; |
---|
700 | XVec4<T,0x1220> const yzzx, gbbr, tpps; |
---|
701 | XVec4<T,0x1221> const yzzy, gbbg, tppt; |
---|
702 | XVec4<T,0x1222> const yzzz, gbbb, tppp; |
---|
703 | XVec4<T,0x1223> const yzzw, gbba, tppq; |
---|
704 | XVec4<T,0x1230> const yzwx, gbar, tpqs; /* lvalue */ |
---|
705 | XVec4<T,0x1231> const yzwy, gbag, tpqt; |
---|
706 | XVec4<T,0x1232> const yzwz, gbab, tpqp; |
---|
707 | XVec4<T,0x1233> const yzww, gbaa, tpqq; |
---|
708 | XVec4<T,0x1300> const ywxx, garr, tqss; |
---|
709 | XVec4<T,0x1301> const ywxy, garg, tqst; |
---|
710 | XVec4<T,0x1302> const ywxz, garb, tqsp; /* lvalue */ |
---|
711 | XVec4<T,0x1303> const ywxw, gara, tqsq; |
---|
712 | XVec4<T,0x1310> const ywyx, gagr, tqts; |
---|
713 | XVec4<T,0x1311> const ywyy, gagg, tqtt; |
---|
714 | XVec4<T,0x1312> const ywyz, gagb, tqtp; |
---|
715 | XVec4<T,0x1313> const ywyw, gaga, tqtq; |
---|
716 | XVec4<T,0x1320> const ywzx, gabr, tqps; /* lvalue */ |
---|
717 | XVec4<T,0x1321> const ywzy, gabg, tqpt; |
---|
718 | XVec4<T,0x1322> const ywzz, gabb, tqpp; |
---|
719 | XVec4<T,0x1323> const ywzw, gaba, tqpq; |
---|
720 | XVec4<T,0x1330> const ywwx, gaar, tqqs; |
---|
721 | XVec4<T,0x1331> const ywwy, gaag, tqqt; |
---|
722 | XVec4<T,0x1332> const ywwz, gaab, tqqp; |
---|
723 | XVec4<T,0x1333> const ywww, gaaa, tqqq; |
---|
724 | XVec4<T,0x2000> const zxxx, brrr, psss; |
---|
725 | XVec4<T,0x2001> const zxxy, brrg, psst; |
---|
726 | XVec4<T,0x2002> const zxxz, brrb, pssp; |
---|
727 | XVec4<T,0x2003> const zxxw, brra, pssq; |
---|
728 | XVec4<T,0x2010> const zxyx, brgr, psts; |
---|
729 | XVec4<T,0x2011> const zxyy, brgg, pstt; |
---|
730 | XVec4<T,0x2012> const zxyz, brgb, pstp; |
---|
731 | XVec4<T,0x2013> const zxyw, brga, pstq; /* lvalue */ |
---|
732 | XVec4<T,0x2020> const zxzx, brbr, psps; |
---|
733 | XVec4<T,0x2021> const zxzy, brbg, pspt; |
---|
734 | XVec4<T,0x2022> const zxzz, brbb, pspp; |
---|
735 | XVec4<T,0x2023> const zxzw, brba, pspq; |
---|
736 | XVec4<T,0x2030> const zxwx, brar, psqs; |
---|
737 | XVec4<T,0x2031> const zxwy, brag, psqt; /* lvalue */ |
---|
738 | XVec4<T,0x2032> const zxwz, brab, psqp; |
---|
739 | XVec4<T,0x2033> const zxww, braa, psqq; |
---|
740 | XVec4<T,0x2100> const zyxx, bgrr, ptss; |
---|
741 | XVec4<T,0x2101> const zyxy, bgrg, ptst; |
---|
742 | XVec4<T,0x2102> const zyxz, bgrb, ptsp; |
---|
743 | XVec4<T,0x2103> const zyxw, bgra, ptsq; /* lvalue */ |
---|
744 | XVec4<T,0x2110> const zyyx, bggr, ptts; |
---|
745 | XVec4<T,0x2111> const zyyy, bggg, pttt; |
---|
746 | XVec4<T,0x2112> const zyyz, bggb, pttp; |
---|
747 | XVec4<T,0x2113> const zyyw, bgga, pttq; |
---|
748 | XVec4<T,0x2120> const zyzx, bgbr, ptps; |
---|
749 | XVec4<T,0x2121> const zyzy, bgbg, ptpt; |
---|
750 | XVec4<T,0x2122> const zyzz, bgbb, ptpp; |
---|
751 | XVec4<T,0x2123> const zyzw, bgba, ptpq; |
---|
752 | XVec4<T,0x2130> const zywx, bgar, ptqs; /* lvalue */ |
---|
753 | XVec4<T,0x2131> const zywy, bgag, ptqt; |
---|
754 | XVec4<T,0x2132> const zywz, bgab, ptqp; |
---|
755 | XVec4<T,0x2133> const zyww, bgaa, ptqq; |
---|
756 | XVec4<T,0x2200> const zzxx, bbrr, ppss; |
---|
757 | XVec4<T,0x2201> const zzxy, bbrg, ppst; |
---|
758 | XVec4<T,0x2202> const zzxz, bbrb, ppsp; |
---|
759 | XVec4<T,0x2203> const zzxw, bbra, ppsq; |
---|
760 | XVec4<T,0x2210> const zzyx, bbgr, ppts; |
---|
761 | XVec4<T,0x2211> const zzyy, bbgg, pptt; |
---|
762 | XVec4<T,0x2212> const zzyz, bbgb, pptp; |
---|
763 | XVec4<T,0x2213> const zzyw, bbga, pptq; |
---|
764 | XVec4<T,0x2220> const zzzx, bbbr, ppps; |
---|
765 | XVec4<T,0x2221> const zzzy, bbbg, pppt; |
---|
766 | XVec4<T,0x2222> const zzzz, bbbb, pppp; |
---|
767 | XVec4<T,0x2223> const zzzw, bbba, pppq; |
---|
768 | XVec4<T,0x2230> const zzwx, bbar, ppqs; |
---|
769 | XVec4<T,0x2231> const zzwy, bbag, ppqt; |
---|
770 | XVec4<T,0x2232> const zzwz, bbab, ppqp; |
---|
771 | XVec4<T,0x2233> const zzww, bbaa, ppqq; |
---|
772 | XVec4<T,0x2300> const zwxx, barr, pqss; |
---|
773 | XVec4<T,0x2301> const zwxy, barg, pqst; /* lvalue */ |
---|
774 | XVec4<T,0x2302> const zwxz, barb, pqsp; |
---|
775 | XVec4<T,0x2303> const zwxw, bara, pqsq; |
---|
776 | XVec4<T,0x2310> const zwyx, bagr, pqts; /* lvalue */ |
---|
777 | XVec4<T,0x2311> const zwyy, bagg, pqtt; |
---|
778 | XVec4<T,0x2312> const zwyz, bagb, pqtp; |
---|
779 | XVec4<T,0x2313> const zwyw, baga, pqtq; |
---|
780 | XVec4<T,0x2320> const zwzx, babr, pqps; |
---|
781 | XVec4<T,0x2321> const zwzy, babg, pqpt; |
---|
782 | XVec4<T,0x2322> const zwzz, babb, pqpp; |
---|
783 | XVec4<T,0x2323> const zwzw, baba, pqpq; |
---|
784 | XVec4<T,0x2330> const zwwx, baar, pqqs; |
---|
785 | XVec4<T,0x2331> const zwwy, baag, pqqt; |
---|
786 | XVec4<T,0x2332> const zwwz, baab, pqqp; |
---|
787 | XVec4<T,0x2333> const zwww, baaa, pqqq; |
---|
788 | XVec4<T,0x3000> const wxxx, arrr, qsss; |
---|
789 | XVec4<T,0x3001> const wxxy, arrg, qsst; |
---|
790 | XVec4<T,0x3002> const wxxz, arrb, qssp; |
---|
791 | XVec4<T,0x3003> const wxxw, arra, qssq; |
---|
792 | XVec4<T,0x3010> const wxyx, argr, qsts; |
---|
793 | XVec4<T,0x3011> const wxyy, argg, qstt; |
---|
794 | XVec4<T,0x3012> const wxyz, argb, qstp; /* lvalue */ |
---|
795 | XVec4<T,0x3013> const wxyw, arga, qstq; |
---|
796 | XVec4<T,0x3020> const wxzx, arbr, qsps; |
---|
797 | XVec4<T,0x3021> const wxzy, arbg, qspt; /* lvalue */ |
---|
798 | XVec4<T,0x3022> const wxzz, arbb, qspp; |
---|
799 | XVec4<T,0x3023> const wxzw, arba, qspq; |
---|
800 | XVec4<T,0x3030> const wxwx, arar, qsqs; |
---|
801 | XVec4<T,0x3031> const wxwy, arag, qsqt; |
---|
802 | XVec4<T,0x3032> const wxwz, arab, qsqp; |
---|
803 | XVec4<T,0x3033> const wxww, araa, qsqq; |
---|
804 | XVec4<T,0x3100> const wyxx, agrr, qtss; |
---|
805 | XVec4<T,0x3101> const wyxy, agrg, qtst; |
---|
806 | XVec4<T,0x3102> const wyxz, agrb, qtsp; /* lvalue */ |
---|
807 | XVec4<T,0x3103> const wyxw, agra, qtsq; |
---|
808 | XVec4<T,0x3110> const wyyx, aggr, qtts; |
---|
809 | XVec4<T,0x3111> const wyyy, aggg, qttt; |
---|
810 | XVec4<T,0x3112> const wyyz, aggb, qttp; |
---|
811 | XVec4<T,0x3113> const wyyw, agga, qttq; |
---|
812 | XVec4<T,0x3120> const wyzx, agbr, qtps; /* lvalue */ |
---|
813 | XVec4<T,0x3121> const wyzy, agbg, qtpt; |
---|
814 | XVec4<T,0x3122> const wyzz, agbb, qtpp; |
---|
815 | XVec4<T,0x3123> const wyzw, agba, qtpq; |
---|
816 | XVec4<T,0x3130> const wywx, agar, qtqs; |
---|
817 | XVec4<T,0x3131> const wywy, agag, qtqt; |
---|
818 | XVec4<T,0x3132> const wywz, agab, qtqp; |
---|
819 | XVec4<T,0x3133> const wyww, agaa, qtqq; |
---|
820 | XVec4<T,0x3200> const wzxx, abrr, qpss; |
---|
821 | XVec4<T,0x3201> const wzxy, abrg, qpst; /* lvalue */ |
---|
822 | XVec4<T,0x3202> const wzxz, abrb, qpsp; |
---|
823 | XVec4<T,0x3203> const wzxw, abra, qpsq; |
---|
824 | XVec4<T,0x3210> const wzyx, abgr, qpts; /* lvalue */ |
---|
825 | XVec4<T,0x3211> const wzyy, abgg, qptt; |
---|
826 | XVec4<T,0x3212> const wzyz, abgb, qptp; |
---|
827 | XVec4<T,0x3213> const wzyw, abga, qptq; |
---|
828 | XVec4<T,0x3220> const wzzx, abbr, qpps; |
---|
829 | XVec4<T,0x3221> const wzzy, abbg, qppt; |
---|
830 | XVec4<T,0x3222> const wzzz, abbb, qppp; |
---|
831 | XVec4<T,0x3223> const wzzw, abba, qppq; |
---|
832 | XVec4<T,0x3230> const wzwx, abar, qpqs; |
---|
833 | XVec4<T,0x3231> const wzwy, abag, qpqt; |
---|
834 | XVec4<T,0x3232> const wzwz, abab, qpqp; |
---|
835 | XVec4<T,0x3233> const wzww, abaa, qpqq; |
---|
836 | XVec4<T,0x3300> const wwxx, aarr, qqss; |
---|
837 | XVec4<T,0x3301> const wwxy, aarg, qqst; |
---|
838 | XVec4<T,0x3302> const wwxz, aarb, qqsp; |
---|
839 | XVec4<T,0x3303> const wwxw, aara, qqsq; |
---|
840 | XVec4<T,0x3310> const wwyx, aagr, qqts; |
---|
841 | XVec4<T,0x3311> const wwyy, aagg, qqtt; |
---|
842 | XVec4<T,0x3312> const wwyz, aagb, qqtp; |
---|
843 | XVec4<T,0x3313> const wwyw, aaga, qqtq; |
---|
844 | XVec4<T,0x3320> const wwzx, aabr, qqps; |
---|
845 | XVec4<T,0x3321> const wwzy, aabg, qqpt; |
---|
846 | XVec4<T,0x3322> const wwzz, aabb, qqpp; |
---|
847 | XVec4<T,0x3323> const wwzw, aaba, qqpq; |
---|
848 | XVec4<T,0x3330> const wwwx, aaar, qqqs; |
---|
849 | XVec4<T,0x3331> const wwwy, aaag, qqqt; |
---|
850 | XVec4<T,0x3332> const wwwz, aaab, qqqp; |
---|
851 | XVec4<T,0x3333> const wwww, aaaa, qqqq; |
---|
852 | #if LOL_NO_CONST_MEMBERS_IN_ANONYMOUS_UNIONS |
---|
853 | # undef const |
---|
854 | #endif |
---|
855 | }; |
---|
856 | }; |
---|
857 | |
---|
858 | template <> struct BVec4<half> |
---|
859 | { |
---|
860 | explicit inline BVec4() {} |
---|
861 | explicit inline BVec4(half X, half Y, half Z, half W) |
---|
862 | : x(X), y(Y), z(Z), w(W) {} |
---|
863 | |
---|
864 | half x, y, z, w; |
---|
865 | }; |
---|
866 | |
---|
867 | template <> struct BVec4<real> |
---|
868 | { |
---|
869 | explicit inline BVec4() {} |
---|
870 | explicit inline BVec4(real X, real Y, real Z, real W) |
---|
871 | : x(X), y(Y), z(Z), w(W) {} |
---|
872 | |
---|
873 | real x, y, z, w; |
---|
874 | }; |
---|
875 | |
---|
876 | template <typename T> struct Vec4 : BVec4<T> |
---|
877 | { |
---|
878 | inline Vec4() {} |
---|
879 | inline Vec4(T X, T Y, T Z, T W) : BVec4<T>(X, Y, Z, W) {} |
---|
880 | inline Vec4(Vec2<T> XY, T Z, T W) : BVec4<T>(XY.x, XY.y, Z, W) {} |
---|
881 | inline Vec4(T X, Vec2<T> YZ, T W) : BVec4<T>(X, YZ.x, YZ.y, W) {} |
---|
882 | inline Vec4(T X, T Y, Vec2<T> ZW) : BVec4<T>(X, Y, ZW.x, ZW.y) {} |
---|
883 | inline Vec4(Vec2<T> XY, Vec2<T> ZW) : BVec4<T>(XY.x, XY.y, ZW.x, ZW.y) {} |
---|
884 | inline Vec4(Vec3<T> XYZ, T W) : BVec4<T>(XYZ.x, XYZ.y, XYZ.z, W) {} |
---|
885 | inline Vec4(T X, Vec3<T> YZW) : BVec4<T>(X, YZW.x, YZW.y, YZW.z) {} |
---|
886 | |
---|
887 | explicit inline Vec4(T X) : BVec4<T>(X, X, X, X) {} |
---|
888 | |
---|
889 | template<int N> |
---|
890 | inline Vec4(XVec4<T, N> const &v) |
---|
891 | : BVec4<T>(v[0], v[1], v[2], v[3]) {} |
---|
892 | |
---|
893 | template<typename U, int N> |
---|
894 | explicit inline Vec4(XVec4<U, N> const &v) |
---|
895 | : BVec4<T>(v[0], v[1], v[2], v[3]) {} |
---|
896 | |
---|
897 | DECLARE_MEMBER_OPS(Vec4) |
---|
898 | |
---|
899 | #if !defined __ANDROID__ |
---|
900 | template<typename U> |
---|
901 | friend std::ostream &operator<<(std::ostream &stream, Vec4<U> const &v); |
---|
902 | #endif |
---|
903 | }; |
---|
904 | |
---|
905 | /* |
---|
906 | * 4-element quaternions |
---|
907 | */ |
---|
908 | |
---|
909 | template <typename T> struct Quat |
---|
910 | { |
---|
911 | inline Quat() {} |
---|
912 | inline Quat(T X) : x(0), y(0), z(0), w(X) {} |
---|
913 | inline Quat(T X, T Y, T Z, T W) : x(X), y(Y), z(Z), w(W) {} |
---|
914 | |
---|
915 | Quat(Mat3<T> const &m); |
---|
916 | Quat(Mat4<T> const &m); |
---|
917 | |
---|
918 | DECLARE_MEMBER_OPS(Quat) |
---|
919 | |
---|
920 | inline Quat<T> operator *(Quat<T> const &val) const |
---|
921 | { |
---|
922 | Quat<T> ret; |
---|
923 | Vec3<T> v1(x, y, z); |
---|
924 | Vec3<T> v2(val.x, val.y, val.z); |
---|
925 | Vec3<T> v3 = cross(v1, v2) + w * v2 + val.w * v1; |
---|
926 | return Quat<T>(v3.x, v3.y, v3.z, w * val.w - dot(v1, v2)); |
---|
927 | } |
---|
928 | |
---|
929 | inline Quat<T> operator *=(Quat<T> const &val) |
---|
930 | { |
---|
931 | return *this = (*this) * val; |
---|
932 | } |
---|
933 | |
---|
934 | inline Quat<T> operator ~() const |
---|
935 | { |
---|
936 | return Quat<T>(-x, -y, -z, w); |
---|
937 | } |
---|
938 | |
---|
939 | #if !defined __ANDROID__ |
---|
940 | template<typename U> |
---|
941 | friend std::ostream &operator<<(std::ostream &stream, Quat<U> const &v); |
---|
942 | #endif |
---|
943 | |
---|
944 | T x, y, z, w; |
---|
945 | }; |
---|
946 | |
---|
947 | template<typename T> |
---|
948 | inline T norm(Quat<T> const &val) |
---|
949 | { |
---|
950 | return sqlen(val); |
---|
951 | } |
---|
952 | |
---|
953 | template<typename T> |
---|
954 | static inline Quat<T> re(Quat<T> const &val) |
---|
955 | { |
---|
956 | return ~val / norm(val); |
---|
957 | } |
---|
958 | |
---|
959 | template<typename T> |
---|
960 | static inline Quat<T> operator /(T x, Quat<T> const &y) |
---|
961 | { |
---|
962 | return x * re(y); |
---|
963 | } |
---|
964 | |
---|
965 | template<typename T> |
---|
966 | static inline Quat<T> operator /(Quat<T> x, Quat<T> const &y) |
---|
967 | { |
---|
968 | return x * re(y); |
---|
969 | } |
---|
970 | |
---|
971 | /* |
---|
972 | * Common operators for all vector types, including quaternions |
---|
973 | */ |
---|
974 | |
---|
975 | #define DECLARE_VECTOR_VECTOR_COERCE_OP(tname, op, tprefix, t1, t2, tf) \ |
---|
976 | tprefix \ |
---|
977 | inline tname<tf> operator op(tname<t1> const &a, tname<t2> const &b) \ |
---|
978 | { \ |
---|
979 | tname<tf> ret; \ |
---|
980 | for (size_t n = 0; n < sizeof(a) / sizeof(t1); n++) \ |
---|
981 | ret[n] = a[n] op b[n]; \ |
---|
982 | return ret; \ |
---|
983 | } |
---|
984 | |
---|
985 | #define DECLARE_VECTOR_VECTOR_OP(tname, op, tprefix, type) \ |
---|
986 | tprefix \ |
---|
987 | inline tname<type> operator op##=(tname<type> &a, tname<type> const &b) \ |
---|
988 | { \ |
---|
989 | return a = a op b; \ |
---|
990 | } |
---|
991 | |
---|
992 | #define DECLARE_VECTOR_VECTOR_BOOLOP(tname, op, op2, ret, tprefix, t1, t2) \ |
---|
993 | tprefix \ |
---|
994 | inline bool operator op(tname<t1> const &a, tname<t2> const &b) \ |
---|
995 | { \ |
---|
996 | for (size_t n = 0; n < sizeof(a) / sizeof(t1); n++) \ |
---|
997 | if (!(a[n] op2 b[n])) \ |
---|
998 | return !ret; \ |
---|
999 | return ret; \ |
---|
1000 | } |
---|
1001 | |
---|
1002 | #define DECLARE_VECTOR_SCALAR_COERCE_OP(tname, op, tprefix, t1, t2, tf) \ |
---|
1003 | tprefix \ |
---|
1004 | inline tname<tf> operator op(tname<t1> const &a, t2 const &val) \ |
---|
1005 | { \ |
---|
1006 | tname<tf> ret; \ |
---|
1007 | for (size_t n = 0; n < sizeof(a) / sizeof(t1); n++) \ |
---|
1008 | ret[n] = a[n] op val; \ |
---|
1009 | return ret; \ |
---|
1010 | } \ |
---|
1011 | \ |
---|
1012 | tprefix \ |
---|
1013 | inline tname<tf> operator op(t1 const &val, tname<t2> const &a) \ |
---|
1014 | { \ |
---|
1015 | tname<tf> ret; \ |
---|
1016 | for (size_t n = 0; n < sizeof(a) / sizeof(t2); n++) \ |
---|
1017 | ret[n] = a[n] op val; \ |
---|
1018 | return ret; \ |
---|
1019 | } |
---|
1020 | |
---|
1021 | #define DECLARE_VECTOR_SCALAR_OP(tname, op, tprefix, type) \ |
---|
1022 | tprefix \ |
---|
1023 | inline tname<type> operator op##=(tname<type> &a, type const &val) \ |
---|
1024 | { \ |
---|
1025 | return a = a op val; \ |
---|
1026 | } |
---|
1027 | |
---|
1028 | #define DECLARE_UNARY_OPS(tname, tprefix, type) \ |
---|
1029 | tprefix \ |
---|
1030 | inline tname<type> operator -(tname<type> const &a) \ |
---|
1031 | { \ |
---|
1032 | tname<type> ret; \ |
---|
1033 | for (size_t n = 0; n < sizeof(a) / sizeof(type); n++) \ |
---|
1034 | ret[n] = -a[n]; \ |
---|
1035 | return ret; \ |
---|
1036 | } \ |
---|
1037 | \ |
---|
1038 | tprefix \ |
---|
1039 | inline type sqlen(tname<type> const &a) \ |
---|
1040 | { \ |
---|
1041 | type acc = 0; \ |
---|
1042 | for (size_t n = 0; n < sizeof(a) / sizeof(type); n++) \ |
---|
1043 | acc += a[n] * a[n]; \ |
---|
1044 | return acc; \ |
---|
1045 | } \ |
---|
1046 | \ |
---|
1047 | tprefix \ |
---|
1048 | inline double len(tname<type> const &a) \ |
---|
1049 | { \ |
---|
1050 | using std::sqrt; \ |
---|
1051 | return sqrt((double)sqlen(a)); \ |
---|
1052 | } \ |
---|
1053 | \ |
---|
1054 | tprefix \ |
---|
1055 | inline tname<type> normalize(tname<type> const &val) \ |
---|
1056 | { \ |
---|
1057 | type norm = (type)len(val); \ |
---|
1058 | return norm ? val / norm : val * (type)0; \ |
---|
1059 | } |
---|
1060 | |
---|
1061 | #define DECLARE_BINARY_COERCE_OPS(tname, tprefix, t1, t2, tf) \ |
---|
1062 | DECLARE_VECTOR_SCALAR_COERCE_OP(tname, *, tprefix, t1, t2, tf) \ |
---|
1063 | DECLARE_VECTOR_SCALAR_COERCE_OP(tname, /, tprefix, t1, t2, tf) \ |
---|
1064 | \ |
---|
1065 | DECLARE_VECTOR_VECTOR_COERCE_OP(tname, -, tprefix, t1, t2, tf) \ |
---|
1066 | DECLARE_VECTOR_VECTOR_COERCE_OP(tname, +, tprefix, t1, t2, tf) \ |
---|
1067 | \ |
---|
1068 | DECLARE_VECTOR_VECTOR_BOOLOP(tname, ==, ==, true, tprefix, t1, t2) \ |
---|
1069 | DECLARE_VECTOR_VECTOR_BOOLOP(tname, !=, ==, false, tprefix, t1, t2) \ |
---|
1070 | \ |
---|
1071 | tprefix \ |
---|
1072 | inline tf dot(tname<t1> const &a, tname<t2> const &b) \ |
---|
1073 | { \ |
---|
1074 | tf ret = 0; \ |
---|
1075 | for (size_t n = 0; n < sizeof(a) / sizeof(t1); n++) \ |
---|
1076 | ret += a[n] * b[n]; \ |
---|
1077 | return ret; \ |
---|
1078 | } |
---|
1079 | |
---|
1080 | #define DECLARE_VEC_3_COERCE_OPS(tname, tprefix, t1, t2, tf) \ |
---|
1081 | tprefix \ |
---|
1082 | inline tname<tf> cross(tname<t1> const &a, tname<t2> const &b) \ |
---|
1083 | { \ |
---|
1084 | return tname<tf>((tf)(a.y * b.z) - (tf)(a.z * b.y), \ |
---|
1085 | (tf)(a.z * b.x) - (tf)(a.x * b.z), \ |
---|
1086 | (tf)(a.x * b.y) - (tf)(a.y * b.x)); \ |
---|
1087 | } |
---|
1088 | |
---|
1089 | #define DECLARE_BINARY_OPS(tname, tprefix, type) \ |
---|
1090 | DECLARE_BINARY_COERCE_OPS(tname, tprefix, type, type, type) \ |
---|
1091 | \ |
---|
1092 | DECLARE_VECTOR_SCALAR_OP(tname, *, tprefix, type) \ |
---|
1093 | DECLARE_VECTOR_SCALAR_OP(tname, /, tprefix, type) \ |
---|
1094 | \ |
---|
1095 | DECLARE_VECTOR_VECTOR_OP(tname, -, tprefix, type) \ |
---|
1096 | DECLARE_VECTOR_VECTOR_OP(tname, +, tprefix, type) |
---|
1097 | |
---|
1098 | #define DECLARE_VECTOR_COERCE_OPS(tname, tprefix, t1, t2, tf) \ |
---|
1099 | DECLARE_VECTOR_VECTOR_COERCE_OP(tname, *, tprefix, t1, t2, tf) \ |
---|
1100 | DECLARE_VECTOR_VECTOR_COERCE_OP(tname, /, tprefix, t1, t2, tf) \ |
---|
1101 | \ |
---|
1102 | DECLARE_VECTOR_VECTOR_BOOLOP(tname, <=, <=, true, tprefix, t1, t2) \ |
---|
1103 | DECLARE_VECTOR_VECTOR_BOOLOP(tname, >=, >=, true, tprefix, t1, t2) \ |
---|
1104 | DECLARE_VECTOR_VECTOR_BOOLOP(tname, <, <, true, tprefix, t1, t2) \ |
---|
1105 | DECLARE_VECTOR_VECTOR_BOOLOP(tname, >, >, true, tprefix, t1, t2) |
---|
1106 | |
---|
1107 | #define DECLARE_VECTOR_OPS(tname, tprefix, type) \ |
---|
1108 | DECLARE_VECTOR_COERCE_OPS(tname, static, type, type, type) \ |
---|
1109 | \ |
---|
1110 | DECLARE_VECTOR_VECTOR_OP(tname, *, tprefix, type) \ |
---|
1111 | DECLARE_VECTOR_VECTOR_OP(tname, /, tprefix, type) |
---|
1112 | |
---|
1113 | #define DECLARE_ALL_NONVECTOR_OPS(tname) \ |
---|
1114 | DECLARE_BINARY_OPS(tname, template<typename T> static, T) \ |
---|
1115 | DECLARE_UNARY_OPS(tname, template<typename T> static, T) |
---|
1116 | |
---|
1117 | #define DECLARE_ALL_VECTOR_OPS_INNER(tname, type) \ |
---|
1118 | DECLARE_BINARY_OPS(tname, static, type) \ |
---|
1119 | DECLARE_UNARY_OPS(tname, static, type) \ |
---|
1120 | DECLARE_VECTOR_OPS(tname, static, type) \ |
---|
1121 | |
---|
1122 | #define DECLARE_ALL_VECTOR_OPS(type) \ |
---|
1123 | DECLARE_ALL_VECTOR_OPS_INNER(Vec2, type) \ |
---|
1124 | DECLARE_ALL_VECTOR_OPS_INNER(Vec3, type) \ |
---|
1125 | DECLARE_ALL_VECTOR_OPS_INNER(Vec4, type) \ |
---|
1126 | \ |
---|
1127 | DECLARE_VEC_3_COERCE_OPS(Vec3, static, type, type, type) |
---|
1128 | |
---|
1129 | #define DECLARE_VEC_ANY_COERCE_OPS(tname, tlow, thigh) \ |
---|
1130 | DECLARE_BINARY_COERCE_OPS(tname, static, tlow, thigh, thigh) \ |
---|
1131 | DECLARE_BINARY_COERCE_OPS(tname, static, thigh, tlow, thigh) \ |
---|
1132 | \ |
---|
1133 | DECLARE_VECTOR_COERCE_OPS(tname, static, tlow, thigh, thigh) \ |
---|
1134 | DECLARE_VECTOR_COERCE_OPS(tname, static, thigh, tlow, thigh) |
---|
1135 | |
---|
1136 | #define DECLARE_ALL_VECTOR_COERCE_OPS(tlow, thigh) \ |
---|
1137 | DECLARE_VEC_ANY_COERCE_OPS(Vec2, tlow, thigh) \ |
---|
1138 | DECLARE_VEC_ANY_COERCE_OPS(Vec3, tlow, thigh) \ |
---|
1139 | DECLARE_VEC_ANY_COERCE_OPS(Vec4, tlow, thigh) \ |
---|
1140 | \ |
---|
1141 | DECLARE_VEC_3_COERCE_OPS(Vec3, static, tlow, thigh, thigh) \ |
---|
1142 | DECLARE_VEC_3_COERCE_OPS(Vec3, static, thigh, tlow, thigh) |
---|
1143 | |
---|
1144 | DECLARE_ALL_NONVECTOR_OPS(Cmplx) |
---|
1145 | DECLARE_ALL_NONVECTOR_OPS(Quat) |
---|
1146 | |
---|
1147 | /* Disable warning about unary operator applied to unsigned type */ |
---|
1148 | #if defined _MSC_VER |
---|
1149 | # pragma warning(push) |
---|
1150 | # pragma warning(disable: 4146) |
---|
1151 | #endif |
---|
1152 | |
---|
1153 | DECLARE_ALL_VECTOR_OPS(half) |
---|
1154 | DECLARE_ALL_VECTOR_OPS(float) |
---|
1155 | DECLARE_ALL_VECTOR_OPS(double) |
---|
1156 | DECLARE_ALL_VECTOR_OPS(int8_t) |
---|
1157 | DECLARE_ALL_VECTOR_OPS(uint8_t) |
---|
1158 | DECLARE_ALL_VECTOR_OPS(int16_t) |
---|
1159 | DECLARE_ALL_VECTOR_OPS(uint16_t) |
---|
1160 | DECLARE_ALL_VECTOR_OPS(int32_t) |
---|
1161 | DECLARE_ALL_VECTOR_OPS(uint32_t) |
---|
1162 | DECLARE_ALL_VECTOR_OPS(int64_t) |
---|
1163 | DECLARE_ALL_VECTOR_OPS(uint64_t) |
---|
1164 | |
---|
1165 | #if defined _MSC_VER |
---|
1166 | # pragma warning(pop) |
---|
1167 | #endif |
---|
1168 | |
---|
1169 | /* Disable warnings in the >= > etc. operators about comparing signed and |
---|
1170 | * unsigned. Ideally we would like to get these warnings only when the |
---|
1171 | * inlined operators are actually used, but they seem to be triggered at |
---|
1172 | * the code parsing step, so the compiler does not yet know whether they |
---|
1173 | * will be used. |
---|
1174 | * Also we do this for the whole block of declarations, because GCC prior |
---|
1175 | * to 4.6.3 does not appear to support _Pragma() inside a macro. */ |
---|
1176 | #if defined __GNUC__ && (__GNUC__ > 4 || (__GNUC__ == 4 && __GNUC_MINOR__ >= 6)) |
---|
1177 | # pragma GCC diagnostic push |
---|
1178 | # pragma GCC diagnostic ignored "-Wsign-compare" |
---|
1179 | #elif defined _MSC_VER |
---|
1180 | # pragma warning(push) |
---|
1181 | # pragma warning(disable: 4018) |
---|
1182 | #endif |
---|
1183 | |
---|
1184 | /* Apply the same coercion rules as in the C++ standard. However, instead |
---|
1185 | * of always promoting smaller types to int, we allow int8_t op int16_t to |
---|
1186 | * return an int16_t. */ |
---|
1187 | DECLARE_ALL_VECTOR_COERCE_OPS(int8_t, uint8_t) |
---|
1188 | DECLARE_ALL_VECTOR_COERCE_OPS(int8_t, int16_t) |
---|
1189 | DECLARE_ALL_VECTOR_COERCE_OPS(int8_t, uint16_t) |
---|
1190 | DECLARE_ALL_VECTOR_COERCE_OPS(int8_t, int32_t) |
---|
1191 | DECLARE_ALL_VECTOR_COERCE_OPS(int8_t, uint32_t) |
---|
1192 | DECLARE_ALL_VECTOR_COERCE_OPS(int8_t, int64_t) |
---|
1193 | DECLARE_ALL_VECTOR_COERCE_OPS(int8_t, uint64_t) |
---|
1194 | DECLARE_ALL_VECTOR_COERCE_OPS(int8_t, float) |
---|
1195 | DECLARE_ALL_VECTOR_COERCE_OPS(int8_t, double) |
---|
1196 | DECLARE_ALL_VECTOR_COERCE_OPS(int8_t, long double) |
---|
1197 | |
---|
1198 | DECLARE_ALL_VECTOR_COERCE_OPS(uint8_t, int16_t) |
---|
1199 | DECLARE_ALL_VECTOR_COERCE_OPS(uint8_t, uint16_t) |
---|
1200 | DECLARE_ALL_VECTOR_COERCE_OPS(uint8_t, int32_t) |
---|
1201 | DECLARE_ALL_VECTOR_COERCE_OPS(uint8_t, uint32_t) |
---|
1202 | DECLARE_ALL_VECTOR_COERCE_OPS(uint8_t, int64_t) |
---|
1203 | DECLARE_ALL_VECTOR_COERCE_OPS(uint8_t, uint64_t) |
---|
1204 | DECLARE_ALL_VECTOR_COERCE_OPS(uint8_t, float) |
---|
1205 | DECLARE_ALL_VECTOR_COERCE_OPS(uint8_t, double) |
---|
1206 | DECLARE_ALL_VECTOR_COERCE_OPS(uint8_t, long double) |
---|
1207 | |
---|
1208 | DECLARE_ALL_VECTOR_COERCE_OPS(int16_t, uint16_t) |
---|
1209 | DECLARE_ALL_VECTOR_COERCE_OPS(int16_t, int32_t) |
---|
1210 | DECLARE_ALL_VECTOR_COERCE_OPS(int16_t, uint32_t) |
---|
1211 | DECLARE_ALL_VECTOR_COERCE_OPS(int16_t, int64_t) |
---|
1212 | DECLARE_ALL_VECTOR_COERCE_OPS(int16_t, uint64_t) |
---|
1213 | DECLARE_ALL_VECTOR_COERCE_OPS(int16_t, float) |
---|
1214 | DECLARE_ALL_VECTOR_COERCE_OPS(int16_t, double) |
---|
1215 | DECLARE_ALL_VECTOR_COERCE_OPS(int16_t, long double) |
---|
1216 | |
---|
1217 | DECLARE_ALL_VECTOR_COERCE_OPS(uint16_t, int32_t) |
---|
1218 | DECLARE_ALL_VECTOR_COERCE_OPS(uint16_t, uint32_t) |
---|
1219 | DECLARE_ALL_VECTOR_COERCE_OPS(uint16_t, int64_t) |
---|
1220 | DECLARE_ALL_VECTOR_COERCE_OPS(uint16_t, uint64_t) |
---|
1221 | DECLARE_ALL_VECTOR_COERCE_OPS(uint16_t, float) |
---|
1222 | DECLARE_ALL_VECTOR_COERCE_OPS(uint16_t, double) |
---|
1223 | DECLARE_ALL_VECTOR_COERCE_OPS(uint16_t, long double) |
---|
1224 | |
---|
1225 | DECLARE_ALL_VECTOR_COERCE_OPS(int32_t, uint32_t) |
---|
1226 | DECLARE_ALL_VECTOR_COERCE_OPS(int32_t, int64_t) |
---|
1227 | DECLARE_ALL_VECTOR_COERCE_OPS(int32_t, uint64_t) |
---|
1228 | DECLARE_ALL_VECTOR_COERCE_OPS(int32_t, float) |
---|
1229 | DECLARE_ALL_VECTOR_COERCE_OPS(int32_t, double) |
---|
1230 | DECLARE_ALL_VECTOR_COERCE_OPS(int32_t, long double) |
---|
1231 | |
---|
1232 | DECLARE_ALL_VECTOR_COERCE_OPS(uint32_t, int64_t) |
---|
1233 | DECLARE_ALL_VECTOR_COERCE_OPS(uint32_t, uint64_t) |
---|
1234 | DECLARE_ALL_VECTOR_COERCE_OPS(uint32_t, float) |
---|
1235 | DECLARE_ALL_VECTOR_COERCE_OPS(uint32_t, double) |
---|
1236 | DECLARE_ALL_VECTOR_COERCE_OPS(uint32_t, long double) |
---|
1237 | |
---|
1238 | DECLARE_ALL_VECTOR_COERCE_OPS(int64_t, uint64_t) |
---|
1239 | DECLARE_ALL_VECTOR_COERCE_OPS(int64_t, float) |
---|
1240 | DECLARE_ALL_VECTOR_COERCE_OPS(int64_t, double) |
---|
1241 | DECLARE_ALL_VECTOR_COERCE_OPS(int64_t, long double) |
---|
1242 | |
---|
1243 | DECLARE_ALL_VECTOR_COERCE_OPS(uint64_t, float) |
---|
1244 | DECLARE_ALL_VECTOR_COERCE_OPS(uint64_t, double) |
---|
1245 | DECLARE_ALL_VECTOR_COERCE_OPS(uint64_t, long double) |
---|
1246 | |
---|
1247 | DECLARE_ALL_VECTOR_COERCE_OPS(float, double) |
---|
1248 | DECLARE_ALL_VECTOR_COERCE_OPS(float, long double) |
---|
1249 | |
---|
1250 | DECLARE_ALL_VECTOR_COERCE_OPS(double, long double) |
---|
1251 | |
---|
1252 | /* FIXME: vectors of "half" are deactivated for now, because they |
---|
1253 | * induce extremely long compilation times (about 17 seconds per TU). */ |
---|
1254 | |
---|
1255 | #if 0 |
---|
1256 | /* All integer types are promoted to half; all floating point types |
---|
1257 | * cause half to be promoted. */ |
---|
1258 | DECLARE_ALL_VECTOR_COERCE_OPS(int8_t, half) |
---|
1259 | DECLARE_ALL_VECTOR_COERCE_OPS(uint8_t, half) |
---|
1260 | DECLARE_ALL_VECTOR_COERCE_OPS(int16_t, half) |
---|
1261 | DECLARE_ALL_VECTOR_COERCE_OPS(uint16_t, half) |
---|
1262 | DECLARE_ALL_VECTOR_COERCE_OPS(int32_t, half) |
---|
1263 | DECLARE_ALL_VECTOR_COERCE_OPS(uint32_t, half) |
---|
1264 | DECLARE_ALL_VECTOR_COERCE_OPS(int64_t, half) |
---|
1265 | DECLARE_ALL_VECTOR_COERCE_OPS(uint64_t, half) |
---|
1266 | |
---|
1267 | DECLARE_ALL_VECTOR_COERCE_OPS(half, float) |
---|
1268 | DECLARE_ALL_VECTOR_COERCE_OPS(half, double) |
---|
1269 | DECLARE_ALL_VECTOR_COERCE_OPS(half, long double) |
---|
1270 | #endif |
---|
1271 | |
---|
1272 | /* FIXME: vectors of "real" are deactivated for now, because we do |
---|
1273 | * not implement all combinations of operators for these types yet. */ |
---|
1274 | |
---|
1275 | #if 0 |
---|
1276 | /* All types are promoted to real */ |
---|
1277 | DECLARE_ALL_VECTOR_COERCE_OPS(int8_t, real) |
---|
1278 | DECLARE_ALL_VECTOR_COERCE_OPS(uint8_t, real) |
---|
1279 | DECLARE_ALL_VECTOR_COERCE_OPS(int16_t, real) |
---|
1280 | DECLARE_ALL_VECTOR_COERCE_OPS(uint16_t, real) |
---|
1281 | DECLARE_ALL_VECTOR_COERCE_OPS(int32_t, real) |
---|
1282 | DECLARE_ALL_VECTOR_COERCE_OPS(uint32_t, real) |
---|
1283 | DECLARE_ALL_VECTOR_COERCE_OPS(int64_t, real) |
---|
1284 | DECLARE_ALL_VECTOR_COERCE_OPS(uint64_t, real) |
---|
1285 | DECLARE_ALL_VECTOR_COERCE_OPS(half, real) |
---|
1286 | DECLARE_ALL_VECTOR_COERCE_OPS(float, real) |
---|
1287 | DECLARE_ALL_VECTOR_COERCE_OPS(double, real) |
---|
1288 | DECLARE_ALL_VECTOR_COERCE_OPS(long double, real) |
---|
1289 | #endif |
---|
1290 | |
---|
1291 | #if defined __GNUC__ && (__GNUC__ > 4 || (__GNUC__ == 4 && __GNUC_MINOR__ >= 6)) |
---|
1292 | # pragma GCC diagnostic pop |
---|
1293 | #elif defined _MSC_VER |
---|
1294 | # pragma warning(pop) |
---|
1295 | #endif |
---|
1296 | |
---|
1297 | #undef DECLARE_VECTOR_TYPEDEFS |
---|
1298 | #undef DECLARE_MEMBER_OPS |
---|
1299 | #undef DECLARE_VECTOR_VECTOR_OP |
---|
1300 | #undef DECLARE_VECTOR_VECTOR_BOOLOP |
---|
1301 | #undef DECLARE_VECTOR_SCALAR_OP |
---|
1302 | #undef DECLARE_BINARY_OPS |
---|
1303 | #undef DECLARE_UNARY_OPS |
---|
1304 | #undef DECLARE_ALL_NONVECTOR_OPS |
---|
1305 | #undef DECLARE_ALL_VECTOR_OPS_INNER |
---|
1306 | #undef DECLARE_ALL_VECTOR_OPS |
---|
1307 | |
---|
1308 | /* |
---|
1309 | * Magic vector swizzling (part 2/2) |
---|
1310 | * Unfortunately these assignment operators cannot be used for now, because |
---|
1311 | * we would also need to override the default copy assignment operator, and |
---|
1312 | * in C++98 unions cannot contain such objects. This is why all the swizzling |
---|
1313 | * magic objects are marked 'const' even those that could be lvalues. |
---|
1314 | */ |
---|
1315 | |
---|
1316 | template<typename T, int N> |
---|
1317 | inline Vec2<T> XVec2<T, N>::operator =(Vec2<T> const &that) |
---|
1318 | { |
---|
1319 | for (int i = 0; i < 2; i++) |
---|
1320 | *this[i] = that[i]; |
---|
1321 | return *this; |
---|
1322 | } |
---|
1323 | |
---|
1324 | template<typename T, int N> |
---|
1325 | inline Vec3<T> XVec3<T, N>::operator =(Vec3<T> const &that) |
---|
1326 | { |
---|
1327 | for (int i = 0; i < 3; i++) |
---|
1328 | *this[i] = that[i]; |
---|
1329 | return *this; |
---|
1330 | } |
---|
1331 | |
---|
1332 | template<typename T, int N> |
---|
1333 | inline Vec4<T> XVec4<T, N>::operator =(Vec4<T> const &that) |
---|
1334 | { |
---|
1335 | for (int i = 0; i < 4; i++) |
---|
1336 | *this[i] = that[i]; |
---|
1337 | return *this; |
---|
1338 | } |
---|
1339 | |
---|
1340 | /* |
---|
1341 | * 2×2-element matrices |
---|
1342 | */ |
---|
1343 | |
---|
1344 | template <typename T> struct Mat2 |
---|
1345 | { |
---|
1346 | inline Mat2() {} |
---|
1347 | inline Mat2(Vec2<T> V0, Vec2<T> V1) |
---|
1348 | : v0(V0), v1(V1) {} |
---|
1349 | |
---|
1350 | explicit inline Mat2(T val) |
---|
1351 | : v0(val, (T)0), |
---|
1352 | v1((T)0, val) {} |
---|
1353 | |
---|
1354 | explicit inline Mat2(Mat4<T> const &mat) |
---|
1355 | : v0(mat[0].xy), |
---|
1356 | v1(mat[1].xy) {} |
---|
1357 | |
---|
1358 | inline Vec2<T>& operator[](size_t n) { return (&v0)[n]; } |
---|
1359 | inline Vec2<T> const& operator[](size_t n) const { return (&v0)[n]; } |
---|
1360 | |
---|
1361 | /* Helpers for transformation matrices */ |
---|
1362 | static Mat2<T> rotate(T angle); |
---|
1363 | |
---|
1364 | static inline Mat2<T> rotate(Mat2<T> mat, T angle) |
---|
1365 | { |
---|
1366 | return rotate(angle) * mat; |
---|
1367 | } |
---|
1368 | |
---|
1369 | void printf() const; |
---|
1370 | |
---|
1371 | #if !defined __ANDROID__ |
---|
1372 | template<class U> |
---|
1373 | friend std::ostream &operator<<(std::ostream &stream, Mat2<U> const &m); |
---|
1374 | #endif |
---|
1375 | |
---|
1376 | inline Mat2<T> operator +(Mat2<T> const m) const |
---|
1377 | { |
---|
1378 | return Mat2<T>(v0 + m[0], v1 + m[1]); |
---|
1379 | } |
---|
1380 | |
---|
1381 | inline Mat2<T> operator +=(Mat2<T> const m) |
---|
1382 | { |
---|
1383 | return *this = *this + m; |
---|
1384 | } |
---|
1385 | |
---|
1386 | inline Mat2<T> operator -(Mat2<T> const m) const |
---|
1387 | { |
---|
1388 | return Mat2<T>(v0 - m[0], v1 - m[1]); |
---|
1389 | } |
---|
1390 | |
---|
1391 | inline Mat2<T> operator -=(Mat2<T> const m) |
---|
1392 | { |
---|
1393 | return *this = *this - m; |
---|
1394 | } |
---|
1395 | |
---|
1396 | inline Mat2<T> operator *(Mat2<T> const m) const |
---|
1397 | { |
---|
1398 | return Mat2<T>(*this * m[0], *this * m[1]); |
---|
1399 | } |
---|
1400 | |
---|
1401 | inline Mat2<T> operator *=(Mat2<T> const m) |
---|
1402 | { |
---|
1403 | return *this = *this * m; |
---|
1404 | } |
---|
1405 | |
---|
1406 | inline Vec2<T> operator *(Vec2<T> const m) const |
---|
1407 | { |
---|
1408 | Vec2<T> ret; |
---|
1409 | for (int j = 0; j < 2; j++) |
---|
1410 | { |
---|
1411 | T tmp = 0; |
---|
1412 | for (int k = 0; k < 2; k++) |
---|
1413 | tmp += (*this)[k][j] * m[k]; |
---|
1414 | ret[j] = tmp; |
---|
1415 | } |
---|
1416 | return ret; |
---|
1417 | } |
---|
1418 | |
---|
1419 | Vec2<T> v0, v1; |
---|
1420 | }; |
---|
1421 | |
---|
1422 | /* |
---|
1423 | * 3×3-element matrices |
---|
1424 | */ |
---|
1425 | |
---|
1426 | template <typename T> struct Mat3 |
---|
1427 | { |
---|
1428 | inline Mat3() {} |
---|
1429 | inline Mat3(Vec3<T> V0, Vec3<T> V1, Vec3<T> V2) |
---|
1430 | : v0(V0), v1(V1), v2(V2) {} |
---|
1431 | |
---|
1432 | explicit inline Mat3(T val) |
---|
1433 | : v0(val, (T)0, (T)0), |
---|
1434 | v1((T)0, val, (T)0), |
---|
1435 | v2((T)0, (T)0, val) {} |
---|
1436 | |
---|
1437 | explicit inline Mat3(Mat4<T> const &mat) |
---|
1438 | : v0(mat[0].xyz), |
---|
1439 | v1(mat[1].xyz), |
---|
1440 | v2(mat[2].xyz) {} |
---|
1441 | |
---|
1442 | inline Vec3<T>& operator[](size_t n) { return (&v0)[n]; } |
---|
1443 | inline Vec3<T> const& operator[](size_t n) const { return (&v0)[n]; } |
---|
1444 | |
---|
1445 | /* Helpers for transformation matrices */ |
---|
1446 | static Mat3<T> rotate(T angle, T x, T y, T z); |
---|
1447 | static Mat3<T> rotate(T angle, Vec3<T> v); |
---|
1448 | static Mat3<T> rotate(Quat<T> q); |
---|
1449 | |
---|
1450 | static inline Mat3<T> rotate(Mat3<T> mat, T angle, Vec3<T> v) |
---|
1451 | { |
---|
1452 | return rotate(angle, v) * mat; |
---|
1453 | } |
---|
1454 | |
---|
1455 | void printf() const; |
---|
1456 | |
---|
1457 | #if !defined __ANDROID__ |
---|
1458 | template<class U> |
---|
1459 | friend std::ostream &operator<<(std::ostream &stream, Mat3<U> const &m); |
---|
1460 | #endif |
---|
1461 | |
---|
1462 | inline Mat3<T> operator +(Mat3<T> const m) const |
---|
1463 | { |
---|
1464 | return Mat3<T>(v0 + m[0], v1 + m[1], v2 + m[2]); |
---|
1465 | } |
---|
1466 | |
---|
1467 | inline Mat3<T> operator +=(Mat3<T> const m) |
---|
1468 | { |
---|
1469 | return *this = *this + m; |
---|
1470 | } |
---|
1471 | |
---|
1472 | inline Mat3<T> operator -(Mat3<T> const m) const |
---|
1473 | { |
---|
1474 | return Mat3<T>(v0 - m[0], v1 - m[1], v2 - m[2]); |
---|
1475 | } |
---|
1476 | |
---|
1477 | inline Mat3<T> operator -=(Mat3<T> const m) |
---|
1478 | { |
---|
1479 | return *this = *this - m; |
---|
1480 | } |
---|
1481 | |
---|
1482 | inline Mat3<T> operator *(Mat3<T> const m) const |
---|
1483 | { |
---|
1484 | return Mat3<T>(*this * m[0], *this * m[1], *this * m[2]); |
---|
1485 | } |
---|
1486 | |
---|
1487 | inline Mat3<T> operator *=(Mat3<T> const m) |
---|
1488 | { |
---|
1489 | return *this = *this * m; |
---|
1490 | } |
---|
1491 | |
---|
1492 | inline Vec3<T> operator *(Vec3<T> const m) const |
---|
1493 | { |
---|
1494 | Vec3<T> ret; |
---|
1495 | for (int j = 0; j < 3; j++) |
---|
1496 | { |
---|
1497 | T tmp = 0; |
---|
1498 | for (int k = 0; k < 3; k++) |
---|
1499 | tmp += (*this)[k][j] * m[k]; |
---|
1500 | ret[j] = tmp; |
---|
1501 | } |
---|
1502 | return ret; |
---|
1503 | } |
---|
1504 | |
---|
1505 | Vec3<T> v0, v1, v2; |
---|
1506 | }; |
---|
1507 | |
---|
1508 | /* |
---|
1509 | * 4×4-element matrices |
---|
1510 | */ |
---|
1511 | |
---|
1512 | template <typename T> struct Mat4 |
---|
1513 | { |
---|
1514 | inline Mat4() {} |
---|
1515 | inline Mat4(Vec4<T> V0, Vec4<T> V1, Vec4<T> V2, Vec4<T> V3) |
---|
1516 | : v0(V0), v1(V1), v2(V2), v3(V3) {} |
---|
1517 | |
---|
1518 | explicit inline Mat4(T val) |
---|
1519 | : v0(val, (T)0, (T)0, (T)0), |
---|
1520 | v1((T)0, val, (T)0, (T)0), |
---|
1521 | v2((T)0, (T)0, val, (T)0), |
---|
1522 | v3((T)0, (T)0, (T)0, val) {} |
---|
1523 | |
---|
1524 | inline Vec4<T>& operator[](size_t n) { return (&v0)[n]; } |
---|
1525 | inline Vec4<T> const& operator[](size_t n) const { return (&v0)[n]; } |
---|
1526 | |
---|
1527 | /* Helpers for transformation matrices */ |
---|
1528 | static Mat4<T> translate(T x, T y, T z); |
---|
1529 | static Mat4<T> translate(Vec3<T> v); |
---|
1530 | static Mat4<T> rotate(T angle, T x, T y, T z); |
---|
1531 | static Mat4<T> rotate(T angle, Vec3<T> v); |
---|
1532 | static Mat4<T> rotate(Quat<T> q); |
---|
1533 | |
---|
1534 | static inline Mat4<T> translate(Mat4<T> const &mat, Vec3<T> v) |
---|
1535 | { |
---|
1536 | return translate(v) * mat; |
---|
1537 | } |
---|
1538 | |
---|
1539 | static inline Mat4<T> rotate(Mat4<T> &mat, T angle, Vec3<T> v) |
---|
1540 | { |
---|
1541 | return rotate(angle, v) * mat; |
---|
1542 | } |
---|
1543 | |
---|
1544 | /* Helpers for view matrices */ |
---|
1545 | static Mat4<T> lookat(Vec3<T> eye, Vec3<T> center, Vec3<T> up); |
---|
1546 | |
---|
1547 | /* Helpers for projection matrices */ |
---|
1548 | static Mat4<T> ortho(T left, T right, T bottom, T top, T near, T far); |
---|
1549 | static Mat4<T> frustum(T left, T right, T bottom, T top, T near, T far); |
---|
1550 | static Mat4<T> perspective(T fov_y, T width, T height, T near, T far); |
---|
1551 | |
---|
1552 | void printf() const; |
---|
1553 | |
---|
1554 | #if !defined __ANDROID__ |
---|
1555 | template<class U> |
---|
1556 | friend std::ostream &operator<<(std::ostream &stream, Mat4<U> const &m); |
---|
1557 | #endif |
---|
1558 | |
---|
1559 | inline Mat4<T> operator +(Mat4<T> const &m) const |
---|
1560 | { |
---|
1561 | return Mat4<T>(v0 + m[0], v1 + m[1], v2 + m[2], v3 + m[3]); |
---|
1562 | } |
---|
1563 | |
---|
1564 | inline Mat4<T> operator +=(Mat4<T> const &m) |
---|
1565 | { |
---|
1566 | return *this = *this + m; |
---|
1567 | } |
---|
1568 | |
---|
1569 | inline Mat4<T> operator -(Mat4<T> const &m) const |
---|
1570 | { |
---|
1571 | return Mat4<T>(v0 - m[0], v1 - m[1], v2 - m[2], v3 - m[3]); |
---|
1572 | } |
---|
1573 | |
---|
1574 | inline Mat4<T> operator -=(Mat4<T> const &m) |
---|
1575 | { |
---|
1576 | return *this = *this - m; |
---|
1577 | } |
---|
1578 | |
---|
1579 | inline Mat4<T> operator *(Mat4<T> const &m) const |
---|
1580 | { |
---|
1581 | return Mat4<T>(*this * m[0], *this * m[1], *this * m[2], *this * m[3]); |
---|
1582 | } |
---|
1583 | |
---|
1584 | inline Mat4<T> operator *=(Mat4<T> const &m) |
---|
1585 | { |
---|
1586 | return *this = *this * m; |
---|
1587 | } |
---|
1588 | |
---|
1589 | inline Vec4<T> operator *(Vec4<T> const &m) const |
---|
1590 | { |
---|
1591 | Vec4<T> ret; |
---|
1592 | for (int j = 0; j < 4; j++) |
---|
1593 | { |
---|
1594 | T tmp = 0; |
---|
1595 | for (int k = 0; k < 4; k++) |
---|
1596 | tmp += (*this)[k][j] * m[k]; |
---|
1597 | ret[j] = tmp; |
---|
1598 | } |
---|
1599 | return ret; |
---|
1600 | } |
---|
1601 | |
---|
1602 | Vec4<T> v0, v1, v2, v3; |
---|
1603 | }; |
---|
1604 | |
---|
1605 | template<typename T> T determinant(Mat2<T> const &); |
---|
1606 | template<typename T> T determinant(Mat3<T> const &); |
---|
1607 | template<typename T> T determinant(Mat4<T> const &); |
---|
1608 | |
---|
1609 | template<typename T> Mat2<T> transpose(Mat2<T> const &); |
---|
1610 | template<typename T> Mat3<T> transpose(Mat3<T> const &); |
---|
1611 | template<typename T> Mat4<T> transpose(Mat4<T> const &); |
---|
1612 | |
---|
1613 | template<typename T> Mat2<T> inverse(Mat2<T> const &); |
---|
1614 | template<typename T> Mat3<T> inverse(Mat3<T> const &); |
---|
1615 | template<typename T> Mat4<T> inverse(Mat4<T> const &); |
---|
1616 | |
---|
1617 | /* |
---|
1618 | * Arbitrarily-sized square matrices; for now this only supports |
---|
1619 | * naive inversion and is used for the Remez inversion method. |
---|
1620 | */ |
---|
1621 | |
---|
1622 | template<int N, typename T> struct Mat |
---|
1623 | { |
---|
1624 | inline Mat<N, T>() {} |
---|
1625 | |
---|
1626 | Mat(T x) |
---|
1627 | { |
---|
1628 | for (int j = 0; j < N; j++) |
---|
1629 | for (int i = 0; i < N; i++) |
---|
1630 | if (i == j) |
---|
1631 | m[i][j] = x; |
---|
1632 | else |
---|
1633 | m[i][j] = 0; |
---|
1634 | } |
---|
1635 | |
---|
1636 | /* Naive matrix inversion */ |
---|
1637 | Mat<N, T> inv() const |
---|
1638 | { |
---|
1639 | Mat a = *this, b((T)1); |
---|
1640 | |
---|
1641 | /* Inversion method: iterate through all columns and make sure |
---|
1642 | * all the terms are 1 on the diagonal and 0 everywhere else */ |
---|
1643 | for (int i = 0; i < N; i++) |
---|
1644 | { |
---|
1645 | /* If the expected coefficient is zero, add one of |
---|
1646 | * the other lines. The first we meet will do. */ |
---|
1647 | if (!a.m[i][i]) |
---|
1648 | { |
---|
1649 | for (int j = i + 1; j < N; j++) |
---|
1650 | { |
---|
1651 | if (!a.m[i][j]) |
---|
1652 | continue; |
---|
1653 | /* Add row j to row i */ |
---|
1654 | for (int n = 0; n < N; n++) |
---|
1655 | { |
---|
1656 | a.m[n][i] += a.m[n][j]; |
---|
1657 | b.m[n][i] += b.m[n][j]; |
---|
1658 | } |
---|
1659 | break; |
---|
1660 | } |
---|
1661 | } |
---|
1662 | |
---|
1663 | /* Now we know the diagonal term is non-zero. Get its inverse |
---|
1664 | * and use that to nullify all other terms in the column */ |
---|
1665 | T x = (T)1 / a.m[i][i]; |
---|
1666 | for (int j = 0; j < N; j++) |
---|
1667 | { |
---|
1668 | if (j == i) |
---|
1669 | continue; |
---|
1670 | T mul = x * a.m[i][j]; |
---|
1671 | for (int n = 0; n < N; n++) |
---|
1672 | { |
---|
1673 | a.m[n][j] -= mul * a.m[n][i]; |
---|
1674 | b.m[n][j] -= mul * b.m[n][i]; |
---|
1675 | } |
---|
1676 | } |
---|
1677 | |
---|
1678 | /* Finally, ensure the diagonal term is 1 */ |
---|
1679 | for (int n = 0; n < N; n++) |
---|
1680 | { |
---|
1681 | a.m[n][i] *= x; |
---|
1682 | b.m[n][i] *= x; |
---|
1683 | } |
---|
1684 | } |
---|
1685 | |
---|
1686 | return b; |
---|
1687 | } |
---|
1688 | |
---|
1689 | T m[N][N]; |
---|
1690 | }; |
---|
1691 | |
---|
1692 | } /* namespace lol */ |
---|
1693 | |
---|
1694 | #endif // __LOL_MATH_VECTOR_H__ |
---|
1695 | |
---|