| 1 | namespace glm |
| 2 | { |
| 3 | template<typename T> |
| 4 | GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> ortho(T left, T right, T bottom, T top) |
| 5 | { |
| 6 | mat<4, 4, T, defaultp> Result(static_cast<T>(1)); |
| 7 | Result[0][0] = static_cast<T>(2) / (right - left); |
| 8 | Result[1][1] = static_cast<T>(2) / (top - bottom); |
| 9 | Result[2][2] = - static_cast<T>(1); |
| 10 | Result[3][0] = - (right + left) / (right - left); |
| 11 | Result[3][1] = - (top + bottom) / (top - bottom); |
| 12 | return Result; |
| 13 | } |
| 14 | |
| 15 | template<typename T> |
| 16 | GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> orthoLH_ZO(T left, T right, T bottom, T top, T zNear, T zFar) |
| 17 | { |
| 18 | mat<4, 4, T, defaultp> Result(1); |
| 19 | Result[0][0] = static_cast<T>(2) / (right - left); |
| 20 | Result[1][1] = static_cast<T>(2) / (top - bottom); |
| 21 | Result[2][2] = static_cast<T>(1) / (zFar - zNear); |
| 22 | Result[3][0] = - (right + left) / (right - left); |
| 23 | Result[3][1] = - (top + bottom) / (top - bottom); |
| 24 | Result[3][2] = - zNear / (zFar - zNear); |
| 25 | return Result; |
| 26 | } |
| 27 | |
| 28 | template<typename T> |
| 29 | GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> orthoLH_NO(T left, T right, T bottom, T top, T zNear, T zFar) |
| 30 | { |
| 31 | mat<4, 4, T, defaultp> Result(1); |
| 32 | Result[0][0] = static_cast<T>(2) / (right - left); |
| 33 | Result[1][1] = static_cast<T>(2) / (top - bottom); |
| 34 | Result[2][2] = static_cast<T>(2) / (zFar - zNear); |
| 35 | Result[3][0] = - (right + left) / (right - left); |
| 36 | Result[3][1] = - (top + bottom) / (top - bottom); |
| 37 | Result[3][2] = - (zFar + zNear) / (zFar - zNear); |
| 38 | return Result; |
| 39 | } |
| 40 | |
| 41 | template<typename T> |
| 42 | GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> orthoRH_ZO(T left, T right, T bottom, T top, T zNear, T zFar) |
| 43 | { |
| 44 | mat<4, 4, T, defaultp> Result(1); |
| 45 | Result[0][0] = static_cast<T>(2) / (right - left); |
| 46 | Result[1][1] = static_cast<T>(2) / (top - bottom); |
| 47 | Result[2][2] = - static_cast<T>(1) / (zFar - zNear); |
| 48 | Result[3][0] = - (right + left) / (right - left); |
| 49 | Result[3][1] = - (top + bottom) / (top - bottom); |
| 50 | Result[3][2] = - zNear / (zFar - zNear); |
| 51 | return Result; |
| 52 | } |
| 53 | |
| 54 | template<typename T> |
| 55 | GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> orthoRH_NO(T left, T right, T bottom, T top, T zNear, T zFar) |
| 56 | { |
| 57 | mat<4, 4, T, defaultp> Result(1); |
| 58 | Result[0][0] = static_cast<T>(2) / (right - left); |
| 59 | Result[1][1] = static_cast<T>(2) / (top - bottom); |
| 60 | Result[2][2] = - static_cast<T>(2) / (zFar - zNear); |
| 61 | Result[3][0] = - (right + left) / (right - left); |
| 62 | Result[3][1] = - (top + bottom) / (top - bottom); |
| 63 | Result[3][2] = - (zFar + zNear) / (zFar - zNear); |
| 64 | return Result; |
| 65 | } |
| 66 | |
| 67 | template<typename T> |
| 68 | GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> orthoZO(T left, T right, T bottom, T top, T zNear, T zFar) |
| 69 | { |
| 70 | # if GLM_CONFIG_CLIP_CONTROL & GLM_CLIP_CONTROL_LH_BIT |
| 71 | return orthoLH_ZO(left, right, bottom, top, zNear, zFar); |
| 72 | # else |
| 73 | return orthoRH_ZO(left, right, bottom, top, zNear, zFar); |
| 74 | # endif |
| 75 | } |
| 76 | |
| 77 | template<typename T> |
| 78 | GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> orthoNO(T left, T right, T bottom, T top, T zNear, T zFar) |
| 79 | { |
| 80 | # if GLM_CONFIG_CLIP_CONTROL & GLM_CLIP_CONTROL_LH_BIT |
| 81 | return orthoLH_NO(left, right, bottom, top, zNear, zFar); |
| 82 | # else |
| 83 | return orthoRH_NO(left, right, bottom, top, zNear, zFar); |
| 84 | # endif |
| 85 | } |
| 86 | |
| 87 | template<typename T> |
| 88 | GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> orthoLH(T left, T right, T bottom, T top, T zNear, T zFar) |
| 89 | { |
| 90 | # if GLM_CONFIG_CLIP_CONTROL & GLM_CLIP_CONTROL_ZO_BIT |
| 91 | return orthoLH_ZO(left, right, bottom, top, zNear, zFar); |
| 92 | # else |
| 93 | return orthoLH_NO(left, right, bottom, top, zNear, zFar); |
| 94 | # endif |
| 95 | |
| 96 | } |
| 97 | |
| 98 | template<typename T> |
| 99 | GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> orthoRH(T left, T right, T bottom, T top, T zNear, T zFar) |
| 100 | { |
| 101 | # if GLM_CONFIG_CLIP_CONTROL & GLM_CLIP_CONTROL_ZO_BIT |
| 102 | return orthoRH_ZO(left, right, bottom, top, zNear, zFar); |
| 103 | # else |
| 104 | return orthoRH_NO(left, right, bottom, top, zNear, zFar); |
| 105 | # endif |
| 106 | } |
| 107 | |
| 108 | template<typename T> |
| 109 | GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> ortho(T left, T right, T bottom, T top, T zNear, T zFar) |
| 110 | { |
| 111 | # if GLM_CONFIG_CLIP_CONTROL == GLM_CLIP_CONTROL_LH_ZO |
| 112 | return orthoLH_ZO(left, right, bottom, top, zNear, zFar); |
| 113 | # elif GLM_CONFIG_CLIP_CONTROL == GLM_CLIP_CONTROL_LH_NO |
| 114 | return orthoLH_NO(left, right, bottom, top, zNear, zFar); |
| 115 | # elif GLM_CONFIG_CLIP_CONTROL == GLM_CLIP_CONTROL_RH_ZO |
| 116 | return orthoRH_ZO(left, right, bottom, top, zNear, zFar); |
| 117 | # elif GLM_CONFIG_CLIP_CONTROL == GLM_CLIP_CONTROL_RH_NO |
| 118 | return orthoRH_NO(left, right, bottom, top, zNear, zFar); |
| 119 | # endif |
| 120 | } |
| 121 | |
| 122 | template<typename T> |
| 123 | GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> frustumLH_ZO(T left, T right, T bottom, T top, T nearVal, T farVal) |
| 124 | { |
| 125 | mat<4, 4, T, defaultp> Result(0); |
| 126 | Result[0][0] = (static_cast<T>(2) * nearVal) / (right - left); |
| 127 | Result[1][1] = (static_cast<T>(2) * nearVal) / (top - bottom); |
| 128 | Result[2][0] = -(right + left) / (right - left); |
| 129 | Result[2][1] = -(top + bottom) / (top - bottom); |
| 130 | Result[2][2] = farVal / (farVal - nearVal); |
| 131 | Result[2][3] = static_cast<T>(1); |
| 132 | Result[3][2] = -(farVal * nearVal) / (farVal - nearVal); |
| 133 | return Result; |
| 134 | } |
| 135 | |
| 136 | template<typename T> |
| 137 | GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> frustumLH_NO(T left, T right, T bottom, T top, T nearVal, T farVal) |
| 138 | { |
| 139 | mat<4, 4, T, defaultp> Result(0); |
| 140 | Result[0][0] = (static_cast<T>(2) * nearVal) / (right - left); |
| 141 | Result[1][1] = (static_cast<T>(2) * nearVal) / (top - bottom); |
| 142 | Result[2][0] = -(right + left) / (right - left); |
| 143 | Result[2][1] = -(top + bottom) / (top - bottom); |
| 144 | Result[2][2] = (farVal + nearVal) / (farVal - nearVal); |
| 145 | Result[2][3] = static_cast<T>(1); |
| 146 | Result[3][2] = - (static_cast<T>(2) * farVal * nearVal) / (farVal - nearVal); |
| 147 | return Result; |
| 148 | } |
| 149 | |
| 150 | template<typename T> |
| 151 | GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> frustumRH_ZO(T left, T right, T bottom, T top, T nearVal, T farVal) |
| 152 | { |
| 153 | mat<4, 4, T, defaultp> Result(0); |
| 154 | Result[0][0] = (static_cast<T>(2) * nearVal) / (right - left); |
| 155 | Result[1][1] = (static_cast<T>(2) * nearVal) / (top - bottom); |
| 156 | Result[2][0] = (right + left) / (right - left); |
| 157 | Result[2][1] = (top + bottom) / (top - bottom); |
| 158 | Result[2][2] = farVal / (nearVal - farVal); |
| 159 | Result[2][3] = static_cast<T>(-1); |
| 160 | Result[3][2] = -(farVal * nearVal) / (farVal - nearVal); |
| 161 | return Result; |
| 162 | } |
| 163 | |
| 164 | template<typename T> |
| 165 | GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> frustumRH_NO(T left, T right, T bottom, T top, T nearVal, T farVal) |
| 166 | { |
| 167 | mat<4, 4, T, defaultp> Result(0); |
| 168 | Result[0][0] = (static_cast<T>(2) * nearVal) / (right - left); |
| 169 | Result[1][1] = (static_cast<T>(2) * nearVal) / (top - bottom); |
| 170 | Result[2][0] = (right + left) / (right - left); |
| 171 | Result[2][1] = (top + bottom) / (top - bottom); |
| 172 | Result[2][2] = - (farVal + nearVal) / (farVal - nearVal); |
| 173 | Result[2][3] = static_cast<T>(-1); |
| 174 | Result[3][2] = - (static_cast<T>(2) * farVal * nearVal) / (farVal - nearVal); |
| 175 | return Result; |
| 176 | } |
| 177 | |
| 178 | template<typename T> |
| 179 | GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> frustumZO(T left, T right, T bottom, T top, T nearVal, T farVal) |
| 180 | { |
| 181 | # if GLM_CONFIG_CLIP_CONTROL & GLM_CLIP_CONTROL_LH_BIT |
| 182 | return frustumLH_ZO(left, right, bottom, top, nearVal, farVal); |
| 183 | # else |
| 184 | return frustumRH_ZO(left, right, bottom, top, nearVal, farVal); |
| 185 | # endif |
| 186 | } |
| 187 | |
| 188 | template<typename T> |
| 189 | GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> frustumNO(T left, T right, T bottom, T top, T nearVal, T farVal) |
| 190 | { |
| 191 | # if GLM_CONFIG_CLIP_CONTROL & GLM_CLIP_CONTROL_LH_BIT |
| 192 | return frustumLH_NO(left, right, bottom, top, nearVal, farVal); |
| 193 | # else |
| 194 | return frustumRH_NO(left, right, bottom, top, nearVal, farVal); |
| 195 | # endif |
| 196 | } |
| 197 | |
| 198 | template<typename T> |
| 199 | GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> frustumLH(T left, T right, T bottom, T top, T nearVal, T farVal) |
| 200 | { |
| 201 | # if GLM_CONFIG_CLIP_CONTROL & GLM_CLIP_CONTROL_ZO_BIT |
| 202 | return frustumLH_ZO(left, right, bottom, top, nearVal, farVal); |
| 203 | # else |
| 204 | return frustumLH_NO(left, right, bottom, top, nearVal, farVal); |
| 205 | # endif |
| 206 | } |
| 207 | |
| 208 | template<typename T> |
| 209 | GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> frustumRH(T left, T right, T bottom, T top, T nearVal, T farVal) |
| 210 | { |
| 211 | # if GLM_CONFIG_CLIP_CONTROL & GLM_CLIP_CONTROL_ZO_BIT |
| 212 | return frustumRH_ZO(left, right, bottom, top, nearVal, farVal); |
| 213 | # else |
| 214 | return frustumRH_NO(left, right, bottom, top, nearVal, farVal); |
| 215 | # endif |
| 216 | } |
| 217 | |
| 218 | template<typename T> |
| 219 | GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> frustum(T left, T right, T bottom, T top, T nearVal, T farVal) |
| 220 | { |
| 221 | # if GLM_CONFIG_CLIP_CONTROL == GLM_CLIP_CONTROL_LH_ZO |
| 222 | return frustumLH_ZO(left, right, bottom, top, nearVal, farVal); |
| 223 | # elif GLM_CONFIG_CLIP_CONTROL == GLM_CLIP_CONTROL_LH_NO |
| 224 | return frustumLH_NO(left, right, bottom, top, nearVal, farVal); |
| 225 | # elif GLM_CONFIG_CLIP_CONTROL == GLM_CLIP_CONTROL_RH_ZO |
| 226 | return frustumRH_ZO(left, right, bottom, top, nearVal, farVal); |
| 227 | # elif GLM_CONFIG_CLIP_CONTROL == GLM_CLIP_CONTROL_RH_NO |
| 228 | return frustumRH_NO(left, right, bottom, top, nearVal, farVal); |
| 229 | # endif |
| 230 | } |
| 231 | |
| 232 | template<typename T> |
| 233 | GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> perspectiveRH_ZO(T fovy, T aspect, T zNear, T zFar) |
| 234 | { |
| 235 | assert(abs(aspect - std::numeric_limits<T>::epsilon()) > static_cast<T>(0)); |
| 236 | |
| 237 | T const tanHalfFovy = tan(fovy / static_cast<T>(2)); |
| 238 | |
| 239 | mat<4, 4, T, defaultp> Result(static_cast<T>(0)); |
| 240 | Result[0][0] = static_cast<T>(1) / (aspect * tanHalfFovy); |
| 241 | Result[1][1] = static_cast<T>(1) / (tanHalfFovy); |
| 242 | Result[2][2] = zFar / (zNear - zFar); |
| 243 | Result[2][3] = - static_cast<T>(1); |
| 244 | Result[3][2] = -(zFar * zNear) / (zFar - zNear); |
| 245 | return Result; |
| 246 | } |
| 247 | |
| 248 | template<typename T> |
| 249 | GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> perspectiveRH_NO(T fovy, T aspect, T zNear, T zFar) |
| 250 | { |
| 251 | assert(abs(aspect - std::numeric_limits<T>::epsilon()) > static_cast<T>(0)); |
| 252 | |
| 253 | T const tanHalfFovy = tan(fovy / static_cast<T>(2)); |
| 254 | |
| 255 | mat<4, 4, T, defaultp> Result(static_cast<T>(0)); |
| 256 | Result[0][0] = static_cast<T>(1) / (aspect * tanHalfFovy); |
| 257 | Result[1][1] = static_cast<T>(1) / (tanHalfFovy); |
| 258 | Result[2][2] = - (zFar + zNear) / (zFar - zNear); |
| 259 | Result[2][3] = - static_cast<T>(1); |
| 260 | Result[3][2] = - (static_cast<T>(2) * zFar * zNear) / (zFar - zNear); |
| 261 | return Result; |
| 262 | } |
| 263 | |
| 264 | template<typename T> |
| 265 | GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> perspectiveLH_ZO(T fovy, T aspect, T zNear, T zFar) |
| 266 | { |
| 267 | assert(abs(aspect - std::numeric_limits<T>::epsilon()) > static_cast<T>(0)); |
| 268 | |
| 269 | T const tanHalfFovy = tan(fovy / static_cast<T>(2)); |
| 270 | |
| 271 | mat<4, 4, T, defaultp> Result(static_cast<T>(0)); |
| 272 | Result[0][0] = static_cast<T>(1) / (aspect * tanHalfFovy); |
| 273 | Result[1][1] = static_cast<T>(1) / (tanHalfFovy); |
| 274 | Result[2][2] = zFar / (zFar - zNear); |
| 275 | Result[2][3] = static_cast<T>(1); |
| 276 | Result[3][2] = -(zFar * zNear) / (zFar - zNear); |
| 277 | return Result; |
| 278 | } |
| 279 | |
| 280 | template<typename T> |
| 281 | GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> perspectiveLH_NO(T fovy, T aspect, T zNear, T zFar) |
| 282 | { |
| 283 | assert(abs(aspect - std::numeric_limits<T>::epsilon()) > static_cast<T>(0)); |
| 284 | |
| 285 | T const tanHalfFovy = tan(fovy / static_cast<T>(2)); |
| 286 | |
| 287 | mat<4, 4, T, defaultp> Result(static_cast<T>(0)); |
| 288 | Result[0][0] = static_cast<T>(1) / (aspect * tanHalfFovy); |
| 289 | Result[1][1] = static_cast<T>(1) / (tanHalfFovy); |
| 290 | Result[2][2] = (zFar + zNear) / (zFar - zNear); |
| 291 | Result[2][3] = static_cast<T>(1); |
| 292 | Result[3][2] = - (static_cast<T>(2) * zFar * zNear) / (zFar - zNear); |
| 293 | return Result; |
| 294 | } |
| 295 | |
| 296 | template<typename T> |
| 297 | GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> perspectiveZO(T fovy, T aspect, T zNear, T zFar) |
| 298 | { |
| 299 | # if GLM_CONFIG_CLIP_CONTROL & GLM_CLIP_CONTROL_LH_BIT |
| 300 | return perspectiveLH_ZO(fovy, aspect, zNear, zFar); |
| 301 | # else |
| 302 | return perspectiveRH_ZO(fovy, aspect, zNear, zFar); |
| 303 | # endif |
| 304 | } |
| 305 | |
| 306 | template<typename T> |
| 307 | GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> perspectiveNO(T fovy, T aspect, T zNear, T zFar) |
| 308 | { |
| 309 | # if GLM_CONFIG_CLIP_CONTROL & GLM_CLIP_CONTROL_LH_BIT |
| 310 | return perspectiveLH_NO(fovy, aspect, zNear, zFar); |
| 311 | # else |
| 312 | return perspectiveRH_NO(fovy, aspect, zNear, zFar); |
| 313 | # endif |
| 314 | } |
| 315 | |
| 316 | template<typename T> |
| 317 | GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> perspectiveLH(T fovy, T aspect, T zNear, T zFar) |
| 318 | { |
| 319 | # if GLM_CONFIG_CLIP_CONTROL & GLM_CLIP_CONTROL_ZO_BIT |
| 320 | return perspectiveLH_ZO(fovy, aspect, zNear, zFar); |
| 321 | # else |
| 322 | return perspectiveLH_NO(fovy, aspect, zNear, zFar); |
| 323 | # endif |
| 324 | |
| 325 | } |
| 326 | |
| 327 | template<typename T> |
| 328 | GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> perspectiveRH(T fovy, T aspect, T zNear, T zFar) |
| 329 | { |
| 330 | # if GLM_CONFIG_CLIP_CONTROL & GLM_CLIP_CONTROL_ZO_BIT |
| 331 | return perspectiveRH_ZO(fovy, aspect, zNear, zFar); |
| 332 | # else |
| 333 | return perspectiveRH_NO(fovy, aspect, zNear, zFar); |
| 334 | # endif |
| 335 | } |
| 336 | |
| 337 | template<typename T> |
| 338 | GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> perspective(T fovy, T aspect, T zNear, T zFar) |
| 339 | { |
| 340 | # if GLM_CONFIG_CLIP_CONTROL == GLM_CLIP_CONTROL_LH_ZO |
| 341 | return perspectiveLH_ZO(fovy, aspect, zNear, zFar); |
| 342 | # elif GLM_CONFIG_CLIP_CONTROL == GLM_CLIP_CONTROL_LH_NO |
| 343 | return perspectiveLH_NO(fovy, aspect, zNear, zFar); |
| 344 | # elif GLM_CONFIG_CLIP_CONTROL == GLM_CLIP_CONTROL_RH_ZO |
| 345 | return perspectiveRH_ZO(fovy, aspect, zNear, zFar); |
| 346 | # elif GLM_CONFIG_CLIP_CONTROL == GLM_CLIP_CONTROL_RH_NO |
| 347 | return perspectiveRH_NO(fovy, aspect, zNear, zFar); |
| 348 | # endif |
| 349 | } |
| 350 | |
| 351 | template<typename T> |
| 352 | GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> perspectiveFovRH_ZO(T fov, T width, T height, T zNear, T zFar) |
| 353 | { |
| 354 | assert(width > static_cast<T>(0)); |
| 355 | assert(height > static_cast<T>(0)); |
| 356 | assert(fov > static_cast<T>(0)); |
| 357 | |
| 358 | T const rad = fov; |
| 359 | T const h = glm::cos(static_cast<T>(0.5) * rad) / glm::sin(static_cast<T>(0.5) * rad); |
| 360 | T const w = h * height / width; ///todo max(width , Height) / min(width , Height)? |
| 361 | |
| 362 | mat<4, 4, T, defaultp> Result(static_cast<T>(0)); |
| 363 | Result[0][0] = w; |
| 364 | Result[1][1] = h; |
| 365 | Result[2][2] = zFar / (zNear - zFar); |
| 366 | Result[2][3] = - static_cast<T>(1); |
| 367 | Result[3][2] = -(zFar * zNear) / (zFar - zNear); |
| 368 | return Result; |
| 369 | } |
| 370 | |
| 371 | template<typename T> |
| 372 | GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> perspectiveFovRH_NO(T fov, T width, T height, T zNear, T zFar) |
| 373 | { |
| 374 | assert(width > static_cast<T>(0)); |
| 375 | assert(height > static_cast<T>(0)); |
| 376 | assert(fov > static_cast<T>(0)); |
| 377 | |
| 378 | T const rad = fov; |
| 379 | T const h = glm::cos(static_cast<T>(0.5) * rad) / glm::sin(static_cast<T>(0.5) * rad); |
| 380 | T const w = h * height / width; ///todo max(width , Height) / min(width , Height)? |
| 381 | |
| 382 | mat<4, 4, T, defaultp> Result(static_cast<T>(0)); |
| 383 | Result[0][0] = w; |
| 384 | Result[1][1] = h; |
| 385 | Result[2][2] = - (zFar + zNear) / (zFar - zNear); |
| 386 | Result[2][3] = - static_cast<T>(1); |
| 387 | Result[3][2] = - (static_cast<T>(2) * zFar * zNear) / (zFar - zNear); |
| 388 | return Result; |
| 389 | } |
| 390 | |
| 391 | template<typename T> |
| 392 | GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> perspectiveFovLH_ZO(T fov, T width, T height, T zNear, T zFar) |
| 393 | { |
| 394 | assert(width > static_cast<T>(0)); |
| 395 | assert(height > static_cast<T>(0)); |
| 396 | assert(fov > static_cast<T>(0)); |
| 397 | |
| 398 | T const rad = fov; |
| 399 | T const h = glm::cos(static_cast<T>(0.5) * rad) / glm::sin(static_cast<T>(0.5) * rad); |
| 400 | T const w = h * height / width; ///todo max(width , Height) / min(width , Height)? |
| 401 | |
| 402 | mat<4, 4, T, defaultp> Result(static_cast<T>(0)); |
| 403 | Result[0][0] = w; |
| 404 | Result[1][1] = h; |
| 405 | Result[2][2] = zFar / (zFar - zNear); |
| 406 | Result[2][3] = static_cast<T>(1); |
| 407 | Result[3][2] = -(zFar * zNear) / (zFar - zNear); |
| 408 | return Result; |
| 409 | } |
| 410 | |
| 411 | template<typename T> |
| 412 | GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> perspectiveFovLH_NO(T fov, T width, T height, T zNear, T zFar) |
| 413 | { |
| 414 | assert(width > static_cast<T>(0)); |
| 415 | assert(height > static_cast<T>(0)); |
| 416 | assert(fov > static_cast<T>(0)); |
| 417 | |
| 418 | T const rad = fov; |
| 419 | T const h = glm::cos(static_cast<T>(0.5) * rad) / glm::sin(static_cast<T>(0.5) * rad); |
| 420 | T const w = h * height / width; ///todo max(width , Height) / min(width , Height)? |
| 421 | |
| 422 | mat<4, 4, T, defaultp> Result(static_cast<T>(0)); |
| 423 | Result[0][0] = w; |
| 424 | Result[1][1] = h; |
| 425 | Result[2][2] = (zFar + zNear) / (zFar - zNear); |
| 426 | Result[2][3] = static_cast<T>(1); |
| 427 | Result[3][2] = - (static_cast<T>(2) * zFar * zNear) / (zFar - zNear); |
| 428 | return Result; |
| 429 | } |
| 430 | |
| 431 | template<typename T> |
| 432 | GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> perspectiveFovZO(T fov, T width, T height, T zNear, T zFar) |
| 433 | { |
| 434 | # if GLM_CONFIG_CLIP_CONTROL & GLM_CLIP_CONTROL_LH_BIT |
| 435 | return perspectiveFovLH_ZO(fov, width, height, zNear, zFar); |
| 436 | # else |
| 437 | return perspectiveFovRH_ZO(fov, width, height, zNear, zFar); |
| 438 | # endif |
| 439 | } |
| 440 | |
| 441 | template<typename T> |
| 442 | GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> perspectiveFovNO(T fov, T width, T height, T zNear, T zFar) |
| 443 | { |
| 444 | # if GLM_CONFIG_CLIP_CONTROL & GLM_CLIP_CONTROL_LH_BIT |
| 445 | return perspectiveFovLH_NO(fov, width, height, zNear, zFar); |
| 446 | # else |
| 447 | return perspectiveFovRH_NO(fov, width, height, zNear, zFar); |
| 448 | # endif |
| 449 | } |
| 450 | |
| 451 | template<typename T> |
| 452 | GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> perspectiveFovLH(T fov, T width, T height, T zNear, T zFar) |
| 453 | { |
| 454 | # if GLM_CONFIG_CLIP_CONTROL & GLM_CLIP_CONTROL_ZO_BIT |
| 455 | return perspectiveFovLH_ZO(fov, width, height, zNear, zFar); |
| 456 | # else |
| 457 | return perspectiveFovLH_NO(fov, width, height, zNear, zFar); |
| 458 | # endif |
| 459 | } |
| 460 | |
| 461 | template<typename T> |
| 462 | GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> perspectiveFovRH(T fov, T width, T height, T zNear, T zFar) |
| 463 | { |
| 464 | # if GLM_CONFIG_CLIP_CONTROL & GLM_CLIP_CONTROL_ZO_BIT |
| 465 | return perspectiveFovRH_ZO(fov, width, height, zNear, zFar); |
| 466 | # else |
| 467 | return perspectiveFovRH_NO(fov, width, height, zNear, zFar); |
| 468 | # endif |
| 469 | } |
| 470 | |
| 471 | template<typename T> |
| 472 | GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> perspectiveFov(T fov, T width, T height, T zNear, T zFar) |
| 473 | { |
| 474 | # if GLM_CONFIG_CLIP_CONTROL == GLM_CLIP_CONTROL_LH_ZO |
| 475 | return perspectiveFovLH_ZO(fov, width, height, zNear, zFar); |
| 476 | # elif GLM_CONFIG_CLIP_CONTROL == GLM_CLIP_CONTROL_LH_NO |
| 477 | return perspectiveFovLH_NO(fov, width, height, zNear, zFar); |
| 478 | # elif GLM_CONFIG_CLIP_CONTROL == GLM_CLIP_CONTROL_RH_ZO |
| 479 | return perspectiveFovRH_ZO(fov, width, height, zNear, zFar); |
| 480 | # elif GLM_CONFIG_CLIP_CONTROL == GLM_CLIP_CONTROL_RH_NO |
| 481 | return perspectiveFovRH_NO(fov, width, height, zNear, zFar); |
| 482 | # endif |
| 483 | } |
| 484 | |
| 485 | template<typename T> |
| 486 | GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> infinitePerspectiveRH_NO(T fovy, T aspect, T zNear) |
| 487 | { |
| 488 | T const range = tan(fovy / static_cast<T>(2)) * zNear; |
| 489 | T const left = -range * aspect; |
| 490 | T const right = range * aspect; |
| 491 | T const bottom = -range; |
| 492 | T const top = range; |
| 493 | |
| 494 | mat<4, 4, T, defaultp> Result(static_cast<T>(0)); |
| 495 | Result[0][0] = (static_cast<T>(2) * zNear) / (right - left); |
| 496 | Result[1][1] = (static_cast<T>(2) * zNear) / (top - bottom); |
| 497 | Result[2][2] = - static_cast<T>(1); |
| 498 | Result[2][3] = - static_cast<T>(1); |
| 499 | Result[3][2] = - static_cast<T>(2) * zNear; |
| 500 | return Result; |
| 501 | } |
| 502 | |
| 503 | template<typename T> |
| 504 | GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> infinitePerspectiveRH_ZO(T fovy, T aspect, T zNear) |
| 505 | { |
| 506 | T const range = tan(fovy / static_cast<T>(2)) * zNear; |
| 507 | T const left = -range * aspect; |
| 508 | T const right = range * aspect; |
| 509 | T const bottom = -range; |
| 510 | T const top = range; |
| 511 | |
| 512 | mat<4, 4, T, defaultp> Result(static_cast<T>(0)); |
| 513 | Result[0][0] = (static_cast<T>(2) * zNear) / (right - left); |
| 514 | Result[1][1] = (static_cast<T>(2) * zNear) / (top - bottom); |
| 515 | Result[2][2] = - static_cast<T>(1); |
| 516 | Result[2][3] = - static_cast<T>(1); |
| 517 | Result[3][2] = - zNear; |
| 518 | return Result; |
| 519 | } |
| 520 | |
| 521 | template<typename T> |
| 522 | GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> infinitePerspectiveLH_NO(T fovy, T aspect, T zNear) |
| 523 | { |
| 524 | T const range = tan(fovy / static_cast<T>(2)) * zNear; |
| 525 | T const left = -range * aspect; |
| 526 | T const right = range * aspect; |
| 527 | T const bottom = -range; |
| 528 | T const top = range; |
| 529 | |
| 530 | mat<4, 4, T, defaultp> Result(T(0)); |
| 531 | Result[0][0] = (static_cast<T>(2) * zNear) / (right - left); |
| 532 | Result[1][1] = (static_cast<T>(2) * zNear) / (top - bottom); |
| 533 | Result[2][2] = static_cast<T>(1); |
| 534 | Result[2][3] = static_cast<T>(1); |
| 535 | Result[3][2] = - static_cast<T>(2) * zNear; |
| 536 | return Result; |
| 537 | } |
| 538 | |
| 539 | template<typename T> |
| 540 | GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> infinitePerspectiveLH_ZO(T fovy, T aspect, T zNear) |
| 541 | { |
| 542 | T const range = tan(fovy / static_cast<T>(2)) * zNear; |
| 543 | T const left = -range * aspect; |
| 544 | T const right = range * aspect; |
| 545 | T const bottom = -range; |
| 546 | T const top = range; |
| 547 | |
| 548 | mat<4, 4, T, defaultp> Result(T(0)); |
| 549 | Result[0][0] = (static_cast<T>(2) * zNear) / (right - left); |
| 550 | Result[1][1] = (static_cast<T>(2) * zNear) / (top - bottom); |
| 551 | Result[2][2] = static_cast<T>(1); |
| 552 | Result[2][3] = static_cast<T>(1); |
| 553 | Result[3][2] = - zNear; |
| 554 | return Result; |
| 555 | } |
| 556 | |
| 557 | template<typename T> |
| 558 | GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> infinitePerspectiveRH(T fovy, T aspect, T zNear) |
| 559 | { |
| 560 | # if GLM_CONFIG_CLIP_CONTROL & GLM_CLIP_CONTROL_ZO_BIT |
| 561 | return infinitePerspectiveRH_ZO(fovy, aspect, zNear); |
| 562 | # else |
| 563 | return infinitePerspectiveRH_NO(fovy, aspect, zNear); |
| 564 | # endif |
| 565 | } |
| 566 | |
| 567 | template<typename T> |
| 568 | GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> infinitePerspectiveLH(T fovy, T aspect, T zNear) |
| 569 | { |
| 570 | # if GLM_CONFIG_CLIP_CONTROL & GLM_CLIP_CONTROL_ZO_BIT |
| 571 | return infinitePerspectiveLH_ZO(fovy, aspect, zNear); |
| 572 | # else |
| 573 | return infinitePerspectiveLH_NO(fovy, aspect, zNear); |
| 574 | # endif |
| 575 | } |
| 576 | |
| 577 | template<typename T> |
| 578 | GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> infinitePerspective(T fovy, T aspect, T zNear) |
| 579 | { |
| 580 | # if GLM_CONFIG_CLIP_CONTROL == GLM_CLIP_CONTROL_LH_ZO |
| 581 | return infinitePerspectiveLH_ZO(fovy, aspect, zNear); |
| 582 | # elif GLM_CONFIG_CLIP_CONTROL == GLM_CLIP_CONTROL_LH_NO |
| 583 | return infinitePerspectiveLH_NO(fovy, aspect, zNear); |
| 584 | # elif GLM_CONFIG_CLIP_CONTROL == GLM_CLIP_CONTROL_RH_ZO |
| 585 | return infinitePerspectiveRH_ZO(fovy, aspect, zNear); |
| 586 | # elif GLM_CONFIG_CLIP_CONTROL == GLM_CLIP_CONTROL_RH_NO |
| 587 | return infinitePerspectiveRH_NO(fovy, aspect, zNear); |
| 588 | # endif |
| 589 | } |
| 590 | |
| 591 | // Infinite projection matrix: http://www.terathon.com/gdc07_lengyel.pdf |
| 592 | template<typename T> |
| 593 | GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> tweakedInfinitePerspective(T fovy, T aspect, T zNear, T ep) |
| 594 | { |
| 595 | T const range = tan(fovy / static_cast<T>(2)) * zNear; |
| 596 | T const left = -range * aspect; |
| 597 | T const right = range * aspect; |
| 598 | T const bottom = -range; |
| 599 | T const top = range; |
| 600 | |
| 601 | mat<4, 4, T, defaultp> Result(static_cast<T>(0)); |
| 602 | Result[0][0] = (static_cast<T>(2) * zNear) / (right - left); |
| 603 | Result[1][1] = (static_cast<T>(2) * zNear) / (top - bottom); |
| 604 | Result[2][2] = ep - static_cast<T>(1); |
| 605 | Result[2][3] = static_cast<T>(-1); |
| 606 | Result[3][2] = (ep - static_cast<T>(2)) * zNear; |
| 607 | return Result; |
| 608 | } |
| 609 | |
| 610 | template<typename T> |
| 611 | GLM_FUNC_QUALIFIER mat<4, 4, T, defaultp> tweakedInfinitePerspective(T fovy, T aspect, T zNear) |
| 612 | { |
| 613 | return tweakedInfinitePerspective(fovy, aspect, zNear, epsilon<T>()); |
| 614 | } |
| 615 | }//namespace glm |