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| 1 | /* | ||
| 2 | * Copyright (c) 2000-2022 Inria | ||
| 3 | * All rights reserved. | ||
| 4 | * | ||
| 5 | * Redistribution and use in source and binary forms, with or without | ||
| 6 | * modification, are permitted provided that the following conditions are met: | ||
| 7 | * | ||
| 8 | * * Redistributions of source code must retain the above copyright notice, | ||
| 9 | * this list of conditions and the following disclaimer. | ||
| 10 | * * Redistributions in binary form must reproduce the above copyright notice, | ||
| 11 | * this list of conditions and the following disclaimer in the documentation | ||
| 12 | * and/or other materials provided with the distribution. | ||
| 13 | * * Neither the name of the ALICE Project-Team nor the names of its | ||
| 14 | * contributors may be used to endorse or promote products derived from this | ||
| 15 | * software without specific prior written permission. | ||
| 16 | * | ||
| 17 | * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" | ||
| 18 | * AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE | ||
| 19 | * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE | ||
| 20 | * ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE | ||
| 21 | * LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR | ||
| 22 | * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF | ||
| 23 | * SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS | ||
| 24 | * INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN | ||
| 25 | * CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) | ||
| 26 | * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE | ||
| 27 | * POSSIBILITY OF SUCH DAMAGE. | ||
| 28 | * | ||
| 29 | * Contact: Bruno Levy | ||
| 30 | * | ||
| 31 | * https://www.inria.fr/fr/bruno-levy | ||
| 32 | * | ||
| 33 | * Inria, | ||
| 34 | * Domaine de Voluceau, | ||
| 35 | * 78150 Le Chesnay - Rocquencourt | ||
| 36 | * FRANCE | ||
| 37 | * | ||
| 38 | */ | ||
| 39 | |||
| 40 | #ifndef GEOGRAM_BASIC_VECG | ||
| 41 | #define GEOGRAM_BASIC_VECG | ||
| 42 | |||
| 43 | #include <geogram/basic/common.h> | ||
| 44 | #include <geogram/basic/numeric.h> | ||
| 45 | #include <geogram/basic/determinant.h> | ||
| 46 | #include <geogram/basic/memory.h> | ||
| 47 | #include <geogram/basic/assert.h> | ||
| 48 | #include <initializer_list> | ||
| 49 | |||
| 50 | #include <iostream> | ||
| 51 | #include <cfloat> | ||
| 52 | #include <cmath> | ||
| 53 | |||
| 54 | #ifndef GOMGEN | ||
| 55 | #include <type_traits> | ||
| 56 | #endif | ||
| 57 | |||
| 58 | /** | ||
| 59 | * \file geogram/basic/vecg.h | ||
| 60 | * \brief Generic implementation of geometric vectors | ||
| 61 | */ | ||
| 62 | |||
| 63 | namespace GEO { | ||
| 64 | |||
| 65 | /** | ||
| 66 | * \brief Generic maths vector | ||
| 67 | * \details Vecng implements a maths vector of dimension \p DIM containing | ||
| 68 | * coordinates of type \p T and provides operations for manipulating it. | ||
| 69 | * Type \p T is expected to be a numeric type. | ||
| 70 | * \tparam DIM dimension of the vector | ||
| 71 | * \tparam T type of the vector coordinates. | ||
| 72 | */ | ||
| 73 | template <index_t DIM, class T> | ||
| 74 | class vecng { | ||
| 75 | public: | ||
| 76 | /** \brief The dimension of the vector */ | ||
| 77 | static constexpr index_t dim = DIM; | ||
| 78 | |||
| 79 | /** \brief This vector type */ | ||
| 80 | typedef vecng<DIM, T> vector_type; | ||
| 81 | |||
| 82 | /** \brief The type of the vector coordinates */ | ||
| 83 | typedef T value_type; | ||
| 84 | |||
| 85 | /** | ||
| 86 | * \brief Default vector constructor | ||
| 87 | * \details All coordinates are initialized to 0 (zero). | ||
| 88 | */ | ||
| 89 | 124800 | vecng() { | |
| 90 |
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878400 | for(index_t i = 0; i < DIM; i++) { |
| 91 | 753600 | data_[i] = T(0); | |
| 92 | } | ||
| 93 | 124800 | } | |
| 94 | |||
| 95 | // This one should never be called : | ||
| 96 | // a template constructor cannot be a copy constructor | ||
| 97 | |||
| 98 | /** | ||
| 99 | * \brief Constructs a vector by copy | ||
| 100 | * \details This copies coordinates of vector \p v to this vector. | ||
| 101 | * The type \p T2 of the coordinates in \p v must be convertible to | ||
| 102 | * the type \p T of this vector. | ||
| 103 | * \param[in] v an vector of same dimension with coordinates of type | ||
| 104 | * \p T2 | ||
| 105 | * \tparam T2 the type of coordinates in vector \p v | ||
| 106 | */ | ||
| 107 | template <class T2> | ||
| 108 | explicit vecng(const vecng<DIM, T2>& v) { | ||
| 109 | for(index_t i = 0; i < DIM; i++) { | ||
| 110 | data_[i] = T(v[i]); | ||
| 111 | } | ||
| 112 | } | ||
| 113 | |||
| 114 | // to avoid compilation problems | ||
| 115 | template <class T2, index_t DIM2> | ||
| 116 | explicit vecng( | ||
| 117 | const vecng<DIM2, T2>& v | ||
| 118 | ) { | ||
| 119 | geo_debug_assert(DIM2 == DIM); | ||
| 120 | for(index_t i = 0; i < DIM; i++) { | ||
| 121 | data_[i] = T(v[i]); | ||
| 122 | } | ||
| 123 | } | ||
| 124 | |||
| 125 | /** | ||
| 126 | * \brief Constructs a vector from an array | ||
| 127 | * \details This copies coordinates the first \p DIM coordinates of | ||
| 128 | * array \p v to this vector. The type \p T2 of the coordinates in | ||
| 129 | * \p v must be convertible to the type \p T of this vector. | ||
| 130 | * \param[in] v an array of values of type \p T2 | ||
| 131 | * \tparam T2 the type of coordinates in vector \p v | ||
| 132 | */ | ||
| 133 | template <class T2> | ||
| 134 | ✗ | explicit vecng(const T2* v) { | |
| 135 | ✗ | for(index_t i = 0; i < DIM; i++) { | |
| 136 | ✗ | data_[i] = T(v[i]); | |
| 137 | } | ||
| 138 | ✗ | } | |
| 139 | |||
| 140 | /** | ||
| 141 | * \brief Constructs a vector from an initializer list. | ||
| 142 | * \param[in] Vi the initializer list, should contain DIM elements. | ||
| 143 | */ | ||
| 144 | vecng(const std::initializer_list<T>& Vi) { | ||
| 145 | index_t i = 0; | ||
| 146 | for(auto& it: Vi) { | ||
| 147 | geo_debug_assert(i < DIM); | ||
| 148 | data()[i] = it; | ||
| 149 | ++i; | ||
| 150 | } | ||
| 151 | } | ||
| 152 | |||
| 153 | /** | ||
| 154 | * \brief Gets the vector dimension | ||
| 155 | * \return the value of \p DIM | ||
| 156 | */ | ||
| 157 | index_t dimension() const { | ||
| 158 | return DIM; | ||
| 159 | } | ||
| 160 | |||
| 161 | /** | ||
| 162 | * \brief Gets modifiable vector data | ||
| 163 | * \return a pointer to the first element of the vector | ||
| 164 | */ | ||
| 165 | 1002000 | T* data() { | |
| 166 | 1002000 | return data_; | |
| 167 | } | ||
| 168 | |||
| 169 | /** | ||
| 170 | * \brief Gets non-modifiable vector data | ||
| 171 | * \return a const pointer to the first element of the vector | ||
| 172 | */ | ||
| 173 | 753600 | const T* data() const { | |
| 174 | 753600 | return data_; | |
| 175 | } | ||
| 176 | |||
| 177 | /** | ||
| 178 | * \brief Gets a modifiable vector coordinate | ||
| 179 | * \param[in] i index of the coordinate | ||
| 180 | * \return a reference to coordinate at index \p i | ||
| 181 | */ | ||
| 182 | 1002000 | inline T& operator[] (index_t i) { | |
| 183 |
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1002000 | geo_debug_assert(i < DIM); |
| 184 | 1002000 | return data()[i]; | |
| 185 | } | ||
| 186 | |||
| 187 | /** | ||
| 188 | * \brief Gets a non-modifiable vector coordinate | ||
| 189 | * \param[in] i index of the coordinate | ||
| 190 | * \return a const reference to coordinate at index \p i | ||
| 191 | */ | ||
| 192 | 753600 | inline const T& operator[] (index_t i) const { | |
| 193 |
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753600 | geo_debug_assert(i < DIM); |
| 194 | 753600 | return data()[i]; | |
| 195 | } | ||
| 196 | |||
| 197 | /** | ||
| 198 | * \brief Gets the squared length of the vector | ||
| 199 | */ | ||
| 200 | ✗ | inline T length2() const { | |
| 201 | ✗ | T result = T(0); | |
| 202 | ✗ | for(index_t i = 0; i < DIM; i++) { | |
| 203 | ✗ | result += data_[i] * data_[i]; | |
| 204 | } | ||
| 205 | ✗ | return result; | |
| 206 | } | ||
| 207 | |||
| 208 | /** | ||
| 209 | * \brief Gets the length of the vector | ||
| 210 | */ | ||
| 211 | inline T length() const { | ||
| 212 | return sqrt(length2()); | ||
| 213 | } | ||
| 214 | |||
| 215 | /** | ||
| 216 | * \brief Gets the squared distance to a vector | ||
| 217 | * \param[in] v another vector | ||
| 218 | * \return (\p v - \p this).length2() | ||
| 219 | */ | ||
| 220 | 106512 | inline T distance2(const vector_type& v) const { | |
| 221 | 106512 | T result(0); | |
| 222 |
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764016 | for(index_t i = 0; i < DIM; i++) { |
| 223 | 657504 | result += geo_sqr(v.data_[i] - data_[i]); | |
| 224 | } | ||
| 225 | 106512 | return result; | |
| 226 | } | ||
| 227 | |||
| 228 | /** | ||
| 229 | * \brief Gets the distance to a vector | ||
| 230 | * \param[in] v another vector | ||
| 231 | * \return (\p v - \p this).length() | ||
| 232 | */ | ||
| 233 | 106512 | inline T distance(const vector_type& v) const { | |
| 234 | 106512 | return sqrt(distance2(v)); | |
| 235 | } | ||
| 236 | |||
| 237 | // operators | ||
| 238 | |||
| 239 | /** | ||
| 240 | * \brief Adds a vector in place | ||
| 241 | * \details Adds coordinates of vector \p v to this vector | ||
| 242 | * coordinates | ||
| 243 | * \param[in] v another vector | ||
| 244 | * \return a reference to this vector | ||
| 245 | */ | ||
| 246 | inline vector_type& operator+= (const vector_type& v) { | ||
| 247 | for(index_t i = 0; i < DIM; i++) { | ||
| 248 | data_[i] += v.data_[i]; | ||
| 249 | } | ||
| 250 | return *this; | ||
| 251 | } | ||
| 252 | |||
| 253 | /** | ||
| 254 | * \brief Subtracts a vector in place | ||
| 255 | * \details Subtracts coordinates of vector \p v from this vector | ||
| 256 | * coordinates | ||
| 257 | * \param[in] v another vector | ||
| 258 | * \return a reference to this vector | ||
| 259 | */ | ||
| 260 | inline vector_type& operator-= (const vector_type& v) { | ||
| 261 | for(index_t i = 0; i < DIM; i++) { | ||
| 262 | data_[i] -= v.data_[i]; | ||
| 263 | } | ||
| 264 | return *this; | ||
| 265 | } | ||
| 266 | |||
| 267 | /** | ||
| 268 | * \brief Multiplies by a scalar in place | ||
| 269 | * \details Multiplies this vector coordinates by value \p s. The type | ||
| 270 | * \p T2 of \p s must be convertible to the type \p T of this vector | ||
| 271 | * coordinates. | ||
| 272 | * \param[in] s a value of type \p T2 | ||
| 273 | * \tparam T2 the type of value \p s | ||
| 274 | * \return a reference to this vector | ||
| 275 | */ | ||
| 276 | template <class T2> | ||
| 277 | inline vector_type& operator*= (T2 s) { | ||
| 278 | for(index_t i = 0; i < DIM; i++) { | ||
| 279 | data_[i] *= T(s); | ||
| 280 | } | ||
| 281 | return *this; | ||
| 282 | } | ||
| 283 | |||
| 284 | /** | ||
| 285 | * \brief Divides by a scalar in place | ||
| 286 | * \details Divides this vector coordinates by value \p s. The type | ||
| 287 | * \p T2 of \p s must be convertible to the type \p T of this vector | ||
| 288 | * coordinates. | ||
| 289 | * \param[in] s a value of type \p T2 | ||
| 290 | * \tparam T2 the type of value \p s | ||
| 291 | * \return a reference to this vector | ||
| 292 | */ | ||
| 293 | template <class T2> | ||
| 294 | inline vector_type& operator/= (T2 s) { | ||
| 295 | for(index_t i = 0; i < DIM; i++) { | ||
| 296 | data_[i] /= T(s); | ||
| 297 | } | ||
| 298 | return *this; | ||
| 299 | } | ||
| 300 | |||
| 301 | /** | ||
| 302 | * \brief Adds 2 vectors | ||
| 303 | * \details Builds a vector by adding coordinates of this vector and | ||
| 304 | * coordinates of vector \p v. | ||
| 305 | * \param[in] v another vector | ||
| 306 | * \return the result vector (\p this + \p v) | ||
| 307 | */ | ||
| 308 | 83600 | inline vector_type operator+ (const vector_type& v) const { | |
| 309 | 83600 | vector_type result(*this); | |
| 310 |
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588800 | for(index_t i = 0; i < DIM; i++) { |
| 311 | 505200 | result.data_[i] += v.data_[i]; | |
| 312 | } | ||
| 313 | 83600 | return result; | |
| 314 | } | ||
| 315 | |||
| 316 | /** | ||
| 317 | * \brief Subtracts 2 vectors | ||
| 318 | * \details Builds a vector by subtracting coordinates of vector \p v | ||
| 319 | * to coordinates of this vector. | ||
| 320 | * \param[in] v another vector | ||
| 321 | * \return the result vector (\p this - \p v) | ||
| 322 | */ | ||
| 323 | ✗ | inline vector_type operator- (const vector_type& v) const { | |
| 324 | ✗ | vector_type result(*this); | |
| 325 | ✗ | for(index_t i = 0; i < DIM; i++) { | |
| 326 | ✗ | result.data_[i] -= v.data_[i]; | |
| 327 | } | ||
| 328 | ✗ | return result; | |
| 329 | } | ||
| 330 | |||
| 331 | |||
| 332 | /** | ||
| 333 | * \brief Divides a vector by a scalar | ||
| 334 | * \details Builds a vector by dividing this vector coordinates by | ||
| 335 | * value \p s. The type \p T2 of \p s must be convertible to the type | ||
| 336 | * \p T of this vector coordinates. | ||
| 337 | * \param[in] s a value of type \p T2 | ||
| 338 | * \tparam T2 the type of value \p s | ||
| 339 | * \return the result vector (\p this / \p s) | ||
| 340 | */ | ||
| 341 | template <class T2> | ||
| 342 | inline vector_type operator/ (T2 s) const { | ||
| 343 | vector_type result(*this); | ||
| 344 | for(index_t i = 0; i < DIM; i++) { | ||
| 345 | result.data_[i] /= T(s); | ||
| 346 | } | ||
| 347 | return result; | ||
| 348 | } | ||
| 349 | |||
| 350 | /** | ||
| 351 | * \brief Negates a vector | ||
| 352 | * \details Builds a vector by negating coordinates of this vector. | ||
| 353 | * \return the result vector (-\p this) | ||
| 354 | */ | ||
| 355 | inline vector_type operator- () const { | ||
| 356 | vector_type result; | ||
| 357 | for(index_t i = 0; i < DIM; i++) { | ||
| 358 | result.data_[i] = -data_[i]; | ||
| 359 | } | ||
| 360 | return result; | ||
| 361 | } | ||
| 362 | |||
| 363 | private: | ||
| 364 | T data_[DIM]; | ||
| 365 | }; | ||
| 366 | |||
| 367 | /** | ||
| 368 | * \brief Computes the dot product of 2 vectors | ||
| 369 | * \param[in] v1 the first vector | ||
| 370 | * \param[in] v2 the second vector | ||
| 371 | * \return the dot product (\p v1 . \p v2) | ||
| 372 | * \relates vecng | ||
| 373 | */ | ||
| 374 | template <index_t DIM, class T> | ||
| 375 | ✗ | inline T dot( | |
| 376 | const vecng<DIM, T>& v1, const vecng<DIM, T>& v2 | ||
| 377 | ) { | ||
| 378 | ✗ | T result = 0; | |
| 379 | ✗ | for(index_t i = 0; i < DIM; i++) { | |
| 380 | ✗ | result += v1[i] * v2[i]; | |
| 381 | } | ||
| 382 | ✗ | return result; | |
| 383 | } | ||
| 384 | |||
| 385 | #ifndef GOMGEN | ||
| 386 | /** | ||
| 387 | * \brief Multiplies a scalar by a vector | ||
| 388 | * \details Builds a vector by multipying this vector coordinates by | ||
| 389 | * value \p s. The type \p T2 of \p s must be convertible to the type \p | ||
| 390 | * T of this vector coordinates. | ||
| 391 | * \param[in] s a value of type \p T2 | ||
| 392 | * \param[in] v the vector to multiply | ||
| 393 | * \tparam T2 the type of value \p s | ||
| 394 | * \return the result vector (\p s * \p v) | ||
| 395 | * \relates vecng | ||
| 396 | */ | ||
| 397 | template < | ||
| 398 | class T2, index_t DIM, class T, | ||
| 399 | typename = std::enable_if_t<is_scalar<T2>::value> | ||
| 400 | 124800 | > inline vecng<DIM, T> operator* ( | |
| 401 | T2 s, const vecng<DIM, T>& v | ||
| 402 | ) { | ||
| 403 | 124800 | vecng<DIM, T> result; | |
| 404 |
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878400 | for(index_t i = 0; i < DIM; i++) { |
| 405 | 753600 | result[i] = T(s) * v[i]; | |
| 406 | } | ||
| 407 | 124800 | return result; | |
| 408 | } | ||
| 409 | |||
| 410 | |||
| 411 | /** | ||
| 412 | * \brief Multiplies a scalar by a vector | ||
| 413 | * \details Builds a vector by multipying this vector coordinates by | ||
| 414 | * value \p s. The type \p T2 of \p s must be convertible to the type \p | ||
| 415 | * T of this vector coordinates. | ||
| 416 | * \param[in] v the vector to multiply | ||
| 417 | * \param[in] s a value of type \p T2 | ||
| 418 | * \tparam T2 the type of value \p s | ||
| 419 | * \return the result vector (\p s * \p v) | ||
| 420 | * \relates vecng | ||
| 421 | */ | ||
| 422 | template < | ||
| 423 | class T2, index_t DIM, class T, | ||
| 424 | typename = std::enable_if_t<is_scalar<T2>::value> | ||
| 425 | > inline vecng<DIM, T> operator* ( | ||
| 426 | const vecng<DIM, T>& v, T2 s | ||
| 427 | ) { | ||
| 428 | vecng<DIM, T> result; | ||
| 429 | for(index_t i = 0; i < DIM; i++) { | ||
| 430 | result[i] = T(s) * v[i]; | ||
| 431 | } | ||
| 432 | return result; | ||
| 433 | } | ||
| 434 | #endif | ||
| 435 | |||
| 436 | // Compatibility with GLSL | ||
| 437 | |||
| 438 | /** | ||
| 439 | * \brief Gets the norm of a vector | ||
| 440 | * \param[in] v a vector | ||
| 441 | * \return the norm of vector \p v | ||
| 442 | * \see vecng::length() | ||
| 443 | * \relates vecng | ||
| 444 | */ | ||
| 445 | template <index_t DIM, class T> | ||
| 446 | 924404 | inline T length(const vecng<DIM, T>& v) { | |
| 447 | 924404 | return v.length(); | |
| 448 | } | ||
| 449 | |||
| 450 | /** | ||
| 451 | * \brief Gets the square norm of a vector | ||
| 452 | * \param[in] v a vector | ||
| 453 | * \return the square norm of vector \p v | ||
| 454 | * \see vecng::length2() | ||
| 455 | * \relates vecng | ||
| 456 | */ | ||
| 457 | template <index_t DIM, class T> | ||
| 458 | 6744002 | inline T length2(const vecng<DIM, T>& v) { | |
| 459 | 6744002 | return v.length2(); | |
| 460 | } | ||
| 461 | |||
| 462 | /** | ||
| 463 | * \brief Gets the square distance between 2 vectors | ||
| 464 | * \param[in] v1 the first vector | ||
| 465 | * \param[in] v2 the second vector | ||
| 466 | * \return the square distance between \p v1 and \p v2. | ||
| 467 | * \see vecng::distance2() | ||
| 468 | * \relates vecng | ||
| 469 | */ | ||
| 470 | template <index_t DIM, class T> | ||
| 471 | 10839796 | inline T distance2( | |
| 472 | const vecng<DIM, T>& v1, const vecng<DIM, T>& v2 | ||
| 473 | ) { | ||
| 474 | 10839796 | return v2.distance2(v1); | |
| 475 | } | ||
| 476 | |||
| 477 | /** | ||
| 478 | * \brief Gets the distance between 2 vectors | ||
| 479 | * \param[in] v1 the first vector | ||
| 480 | * \param[in] v2 the second vector | ||
| 481 | * \return the distance between \p v1 and \p v2. | ||
| 482 | * \see vecng::distance() | ||
| 483 | * \relates vecng | ||
| 484 | */ | ||
| 485 | template <index_t DIM, class T> | ||
| 486 | 115728 | inline T distance( | |
| 487 | const vecng<DIM, T>& v1, const vecng<DIM, T>& v2 | ||
| 488 | ) { | ||
| 489 | 115728 | return v2.distance(v1); | |
| 490 | } | ||
| 491 | |||
| 492 | /** | ||
| 493 | * \brief Normalizes a vector | ||
| 494 | * \details Returns a normalized vector constructed by dividing | ||
| 495 | * coordinates of vector \p v by it norm. If the norm is 0, then the | ||
| 496 | * result is undefined. | ||
| 497 | * \param[in] v a vector | ||
| 498 | * \return the normalized vector | ||
| 499 | * \relates vecng | ||
| 500 | */ | ||
| 501 | template <index_t DIM, class T> GEO_NODISCARD | ||
| 502 | 815068 | inline vecng<DIM, T> normalize( | |
| 503 | const vecng<DIM, T>& v | ||
| 504 | ) { | ||
| 505 | 815068 | T s = length(v); | |
| 506 |
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815068 | if(s > 1e-30) { |
| 507 | 815068 | s = T(1) / s; | |
| 508 | } | ||
| 509 | 815068 | return s * v; | |
| 510 | } | ||
| 511 | |||
| 512 | /** | ||
| 513 | * \brief Computes a weighted barycenter | ||
| 514 | * \details Computes the barycenter of \p v1 and \p v2 weighted by value | ||
| 515 | * 1 - \p s and \p s. | ||
| 516 | * \param[in] v1 the first vector | ||
| 517 | * \param[in] v2 the second vector | ||
| 518 | * \param[in] s the weight value | ||
| 519 | * \return the barycenter (1 - \p s) * \p v1 + \p s * \p v2 | ||
| 520 | * \relates vecng | ||
| 521 | */ | ||
| 522 | template <index_t DIM, class T> | ||
| 523 | inline vecng<DIM, T> mix( | ||
| 524 | const vecng<DIM, T>& v1, const vecng<DIM, T>& v2, T s | ||
| 525 | ) { | ||
| 526 | return (T(1) - s) * v1 + s * v2; | ||
| 527 | } | ||
| 528 | |||
| 529 | /************************************************************************/ | ||
| 530 | |||
| 531 | /** | ||
| 532 | * \brief Specialization of class vecng for DIM == 2 | ||
| 533 | * \see vecng | ||
| 534 | */ | ||
| 535 | template <class T> | ||
| 536 | class vecng<2, T> { | ||
| 537 | public: | ||
| 538 | /** \copydoc vecng::dim */ | ||
| 539 | static constexpr index_t dim = 2; | ||
| 540 | |||
| 541 | /** \copydoc vecng::vector_type */ | ||
| 542 | typedef vecng<dim, T> vector_type; | ||
| 543 | |||
| 544 | /** \copydoc vecng::value_type */ | ||
| 545 | typedef T value_type; | ||
| 546 | |||
| 547 | /** \copydoc vecng::vecng() */ | ||
| 548 | ✗ | vecng() : | |
| 549 | ✗ | x(0), | |
| 550 | ✗ | y(0) { | |
| 551 | ✗ | } | |
| 552 | |||
| 553 | /** | ||
| 554 | * \brief Constructs a vector from coordinates | ||
| 555 | * \param[in] x_in , y_in references to vector coordinates | ||
| 556 | */ | ||
| 557 | 1095849 | vecng(const T& x_in, const T& y_in) : | |
| 558 | 1095849 | x(x_in), | |
| 559 | 1095849 | y(y_in) { | |
| 560 | 1095849 | } | |
| 561 | |||
| 562 | /** | ||
| 563 | * \brief Constructs a vector from coordinates | ||
| 564 | * \param[in] x_in , y_in vector coordinates as rvalue references | ||
| 565 | */ | ||
| 566 | 1138862 | vecng(T&& x_in, T&& y_in) : | |
| 567 | 1138862 | x(x_in), | |
| 568 |
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1138862 | y(y_in) { |
| 569 | 1138862 | } | |
| 570 | |||
| 571 | vecng(const vecng<2,T>& rhs) = default; | ||
| 572 | vecng(vecng<2,T>&& rhs) = default; | ||
| 573 | |||
| 574 | /** \copydoc vecng::vecng(const vecng<DIM, T2>&) */ | ||
| 575 | template <class T2> | ||
| 576 | explicit vecng(const vecng<dim, T2>& v) : | ||
| 577 | x(v.x), | ||
| 578 | y(v.y) { | ||
| 579 | } | ||
| 580 | |||
| 581 | /** \copydoc vecng::vecng(const T2*) */ | ||
| 582 | template <class T2> | ||
| 583 | 222814 | explicit vecng(const T2* v) : | |
| 584 | 222814 | x(v[0]), | |
| 585 | 222814 | y(v[1]) { | |
| 586 | 222814 | } | |
| 587 | |||
| 588 | /** \copydoc vecng::vecng(const std::initializer_list<T>) */ | ||
| 589 | 231 | vecng(const std::initializer_list<T>& Vi) { | |
| 590 | 231 | index_t i = 0; | |
| 591 |
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693 | for(auto& it: Vi) { |
| 592 |
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462 | geo_debug_assert(i < dim); |
| 593 | 462 | data()[i] = it; | |
| 594 | 462 | ++i; | |
| 595 | } | ||
| 596 | 231 | } | |
| 597 | |||
| 598 | vecng<2,T>& operator=(const vecng<2,T>& rhs) = default; | ||
| 599 | vecng<2,T>& operator=(vecng<2,T>&& rhs) = default; | ||
| 600 | |||
| 601 | /** \copydoc vecng::length2() const */ | ||
| 602 | 278 | inline T length2() const { | |
| 603 | 278 | return x * x + y * y; | |
| 604 | } | ||
| 605 | |||
| 606 | /** \copydoc vecng::length() const */ | ||
| 607 | ✗ | inline T length() const { | |
| 608 | ✗ | return sqrt(x * x + y * y); | |
| 609 | } | ||
| 610 | |||
| 611 | /** \copydoc vecng::distance2(const vector_type&) const */ | ||
| 612 | ✗ | inline T distance2(const vector_type& v) const { | |
| 613 | ✗ | T dx = v.x - x; | |
| 614 | ✗ | T dy = v.y - y; | |
| 615 | ✗ | return dx * dx + dy * dy; | |
| 616 | } | ||
| 617 | |||
| 618 | /** \copydoc vecng::distance(const vector_type&) const */ | ||
| 619 | ✗ | inline T distance(const vector_type& v) const { | |
| 620 | ✗ | return sqrt(distance2(v)); | |
| 621 | } | ||
| 622 | |||
| 623 | /** \copydoc vecng::operator+=(const vector_type&) */ | ||
| 624 | inline vector_type& operator+= (const vector_type& v) { | ||
| 625 | x += v.x; | ||
| 626 | y += v.y; | ||
| 627 | return *this; | ||
| 628 | } | ||
| 629 | |||
| 630 | /** \copydoc vecng::operator-=(const vector_type&) */ | ||
| 631 | inline vector_type& operator-= (const vector_type& v) { | ||
| 632 | x -= v.x; | ||
| 633 | y -= v.y; | ||
| 634 | return *this; | ||
| 635 | } | ||
| 636 | |||
| 637 | /** \copydoc vecng::operator*=(T2) */ | ||
| 638 | template <class T2> | ||
| 639 | inline vector_type& operator*= (T2 s) { | ||
| 640 | x *= T(s); | ||
| 641 | y *= T(s); | ||
| 642 | return *this; | ||
| 643 | } | ||
| 644 | |||
| 645 | /** \copydoc vecng::operator/=(T2) */ | ||
| 646 | template <class T2> | ||
| 647 | inline vector_type& operator/= (T2 s) { | ||
| 648 | x /= T(s); | ||
| 649 | y /= T(s); | ||
| 650 | return *this; | ||
| 651 | } | ||
| 652 | |||
| 653 | /** \copydoc vecng::operator+(const vector_type&) const */ | ||
| 654 | 6385 | inline vector_type operator+ (const vector_type& v) const { | |
| 655 | 6385 | return vector_type(x + v.x, y + v.y); | |
| 656 | } | ||
| 657 | |||
| 658 | /** \copydoc vecng::operator-(const vector_type&) const */ | ||
| 659 | 643 | inline vector_type operator- (const vector_type& v) const { | |
| 660 | 643 | return vector_type(x - v.x, y - v.y); | |
| 661 | } | ||
| 662 | |||
| 663 | /** \copydoc vecng::operator/(T2) const */ | ||
| 664 | template <class T2> | ||
| 665 | inline vector_type operator/ (T2 s) const { | ||
| 666 | return vector_type(x / T(s), y / T(s)); | ||
| 667 | } | ||
| 668 | |||
| 669 | /** \copydoc vecng::operator-() const */ | ||
| 670 | inline vector_type operator- () const { | ||
| 671 | return vector_type(-x, -y); | ||
| 672 | } | ||
| 673 | |||
| 674 | /** \copydoc vecng::dimension() const */ | ||
| 675 | index_t dimension() const { | ||
| 676 | return dim; | ||
| 677 | } | ||
| 678 | |||
| 679 | /** \copydoc vecng::data() */ | ||
| 680 | 462 | T* data() { | |
| 681 | 462 | return &x; | |
| 682 | } | ||
| 683 | |||
| 684 | /** \copydoc vecng::data() const */ | ||
| 685 | 31427240 | const T* data() const { | |
| 686 | 31427240 | return &x; | |
| 687 | } | ||
| 688 | |||
| 689 | /** \copydoc vecng::operator[](index_t) */ | ||
| 690 | ✗ | inline T& operator[] (index_t i) { | |
| 691 | ✗ | geo_debug_assert(i < dim); | |
| 692 | ✗ | return data()[i]; | |
| 693 | } | ||
| 694 | |||
| 695 | /** \copydoc vecng::operator[](index_t) const */ | ||
| 696 | ✗ | inline const T& operator[] (index_t i) const { | |
| 697 | ✗ | geo_debug_assert(i < dim); | |
| 698 | ✗ | return data()[i]; | |
| 699 | } | ||
| 700 | |||
| 701 | /** \brief Optimizes coordinate representation */ | ||
| 702 | void optimize() { | ||
| 703 | Numeric::optimize_number_representation(x); | ||
| 704 | Numeric::optimize_number_representation(y); | ||
| 705 | } | ||
| 706 | |||
| 707 | /** \brief Vector x coordinate */ | ||
| 708 | T x; | ||
| 709 | /** \brief Vector y coordinate */ | ||
| 710 | T y; | ||
| 711 | }; | ||
| 712 | |||
| 713 | /** | ||
| 714 | * \copydoc vecng::dot(const vecng<DIM,T>&,const vecng<DIM,T>&) | ||
| 715 | * \relates vecng | ||
| 716 | */ | ||
| 717 | template <class T> | ||
| 718 | ✗ | inline T dot( | |
| 719 | const vecng<2, T>& v1, const vecng<2, T>& v2 | ||
| 720 | ) { | ||
| 721 | ✗ | return v1.x * v2.x + v1.y * v2.y; | |
| 722 | } | ||
| 723 | |||
| 724 | /** | ||
| 725 | * \brief Computes the determinant of 2 vectors | ||
| 726 | * \param[in] v1 the first vector | ||
| 727 | * \param[in] v2 the second vector | ||
| 728 | * \return the value of the determinant | ||
| 729 | * \relates vecng | ||
| 730 | */ | ||
| 731 | template <class T> | ||
| 732 | 336 | inline T det( | |
| 733 | const vecng<2, T>& v1, const vecng<2, T>& v2 | ||
| 734 | ) { | ||
| 735 | 336 | return v1.x * v2.y - v1.y * v2.x; | |
| 736 | } | ||
| 737 | |||
| 738 | #ifndef GOMGEN | ||
| 739 | /** | ||
| 740 | * \copydoc vecng::operator*(T2,const vecng<DIM,T>&) | ||
| 741 | * \relates vecng | ||
| 742 | */ | ||
| 743 | template < | ||
| 744 | class T2, class T, | ||
| 745 | typename = std::enable_if_t<is_scalar<T2>::value> | ||
| 746 | 13104 | > inline vecng<2, T> operator* ( | |
| 747 | T2 s, const vecng<2, T>& v | ||
| 748 | ) { | ||
| 749 | 13104 | return vecng<2, T>(T(s) * v.x, T(s) * v.y); | |
| 750 | } | ||
| 751 | |||
| 752 | /** | ||
| 753 | * \copydoc vecng::operator*(const vecng<DIM,T>&, T2) | ||
| 754 | * \relates vecng | ||
| 755 | */ | ||
| 756 | template < | ||
| 757 | class T2, class T, | ||
| 758 | typename = std::enable_if_t<is_scalar<T2>::value> | ||
| 759 | > inline vecng<2, T> operator* ( | ||
| 760 | const vecng<2, T>& v, T2 s | ||
| 761 | ) { | ||
| 762 | return vecng<2, T>(T(s) * v.x, T(s) * v.y); | ||
| 763 | } | ||
| 764 | #endif | ||
| 765 | |||
| 766 | /************************************************************************/ | ||
| 767 | |||
| 768 | /** | ||
| 769 | * \brief Specialization of class vecng for DIM == 3 | ||
| 770 | * \see vecng | ||
| 771 | */ | ||
| 772 | template <class T> | ||
| 773 | class vecng<3, T> { | ||
| 774 | public: | ||
| 775 | /** \copydoc vecng::dim */ | ||
| 776 | static constexpr index_t dim = 3; | ||
| 777 | |||
| 778 | /** \copydoc vecng::vector_type */ | ||
| 779 | typedef vecng<dim, T> vector_type; | ||
| 780 | |||
| 781 | /** \copydoc vecng::value_type */ | ||
| 782 | typedef T value_type; | ||
| 783 | |||
| 784 | /** \copydoc vecng::vecng() */ | ||
| 785 | 13030002 | vecng() : | |
| 786 | 13030002 | x(T(0.0)), | |
| 787 |
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13030002 | y(T(0.0)), |
| 788 |
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13030002 | z(T(0.0)) { |
| 789 | 13030002 | } | |
| 790 | |||
| 791 | /** | ||
| 792 | * \brief Constructs a vector from coordinates | ||
| 793 | * \param[in] x_in , y_in , z_in references to vector coordinates | ||
| 794 | */ | ||
| 795 | 742949 | vecng(const T& x_in, const T& y_in, const T& z_in) : | |
| 796 | 742949 | x(x_in), | |
| 797 |
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742949 | y(y_in), |
| 798 |
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742949 | z(z_in) { |
| 799 | 742949 | } | |
| 800 | |||
| 801 | /** | ||
| 802 | * \brief Constructs a vector from coordinates | ||
| 803 | * \param[in] x_in , y_in , z_in vector coordinates as rvalues | ||
| 804 | */ | ||
| 805 | 248905287 | vecng(T&& x_in, T&& y_in, T&& z_in) : | |
| 806 | 248905287 | x(x_in), | |
| 807 |
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248905287 | y(y_in), |
| 808 |
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248905287 | z(z_in) { |
| 809 | 248905287 | } | |
| 810 | |||
| 811 | ✗ | vecng(const vecng<3,T>& rhs) = default; | |
| 812 | 32035 | vecng(vecng<3,T>&& rhs) = default; | |
| 813 | |||
| 814 | /** \copydoc vecng::vecng(const vecng<DIM, T2>&) */ | ||
| 815 | template <class T2> | ||
| 816 | 2190030 | explicit vecng(const vecng<dim, T2>& v) : | |
| 817 | 2190030 | x(v.x), | |
| 818 |
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2190030 | y(v.y), |
| 819 |
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2190030 | z(v.z) { |
| 820 | 2190030 | } | |
| 821 | |||
| 822 | /** \copydoc vecng::vecng(const T2*) */ | ||
| 823 | template <class T2> | ||
| 824 | 1569299 | explicit vecng(const T2* v) : | |
| 825 | 1569299 | x(v[0]), | |
| 826 | 1569299 | y(v[1]), | |
| 827 | 1569299 | z(v[2]) { | |
| 828 | 1569299 | } | |
| 829 | |||
| 830 | /** \copydoc vecng::vecng(const std::initializer_list<T>) */ | ||
| 831 | 130 | vecng(const std::initializer_list<T>& Vi) { | |
| 832 | 130 | index_t i = 0; | |
| 833 |
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520 | for(auto& it: Vi) { |
| 834 |
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390 | geo_debug_assert(i < dim); |
| 835 | 390 | data()[i] = it; | |
| 836 | 390 | ++i; | |
| 837 | } | ||
| 838 | 130 | } | |
| 839 | |||
| 840 | vecng<3,T>& operator=(const vecng<3,T>& rhs) = default; | ||
| 841 | 3820 | vecng<3,T>& operator=(vecng<3,T>&& rhs) = default; | |
| 842 | |||
| 843 | /** | ||
| 844 | * \brief Explicit conversions (From section 5.4.1 Conversion and scalar constructors of GLSL 1.30.08 specification) | ||
| 845 | */ | ||
| 846 | template<typename A, typename B> | ||
| 847 | vecng(const vecng<2, A>& _xy, B _z); | ||
| 848 | /** | ||
| 849 | * \brief Explicit conversions (From section 5.4.1 Conversion and scalar constructors of GLSL 1.30.08 specification) | ||
| 850 | */ | ||
| 851 | template<typename A, typename B> | ||
| 852 | vecng(const vecng<2, A>& _xy, const vecng<1, B>& _z); | ||
| 853 | /** | ||
| 854 | * \brief Explicit conversions (From section 5.4.1 Conversion and scalar constructors of GLSL 1.30.08 specification) | ||
| 855 | */ | ||
| 856 | template<typename A, typename B> | ||
| 857 | vecng(A _x, const vecng<2, B>& _yz); | ||
| 858 | /** | ||
| 859 | * \brief Explicit conversions (From section 5.4.1 Conversion and scalar constructors of GLSL 1.30.08 specification) | ||
| 860 | */ | ||
| 861 | template<typename A, typename B> | ||
| 862 | vecng(const vecng<1, A>& _x, const vecng<2, B>& _yz); | ||
| 863 | /** | ||
| 864 | * \brief Explicit conversions (From section 5.4.1 Conversion and scalar constructors of GLSL 1.30.08 specification) | ||
| 865 | */ | ||
| 866 | template<typename U> | ||
| 867 | explicit vecng(vecng<4, U> const& v); | ||
| 868 | |||
| 869 | |||
| 870 | /** \copydoc vecng::length2() const */ | ||
| 871 | 6743724 | inline T length2() const { | |
| 872 |
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6743724 | return x * x + y * y + z * z; |
| 873 | } | ||
| 874 | |||
| 875 | /** \copydoc vecng::length() const */ | ||
| 876 | 924404 | inline T length() const { | |
| 877 | 924404 | return sqrt(x * x + y * y + z * z); | |
| 878 | } | ||
| 879 | |||
| 880 | /** \copydoc vecng::distance2(const vector_type&) const */ | ||
| 881 | 10839796 | inline T distance2(const vector_type& v) const { | |
| 882 | 10839796 | T dx = v.x - x; | |
| 883 | 10839796 | T dy = v.y - y; | |
| 884 | 10839796 | T dz = v.z - z; | |
| 885 | 10839796 | return dx * dx + dy * dy + dz * dz; | |
| 886 | } | ||
| 887 | |||
| 888 | /** \copydoc vecng::distance(const vector_type&) const */ | ||
| 889 | inline T distance(const vector_type& v) const { | ||
| 890 | return sqrt(distance2(v)); | ||
| 891 | } | ||
| 892 | |||
| 893 | /** \copydoc vecng::operator+=(const vector_type&) */ | ||
| 894 | 933524 | inline vector_type& operator+= (const vector_type& v) { | |
| 895 | 933524 | x += v.x; | |
| 896 | 933524 | y += v.y; | |
| 897 | 933524 | z += v.z; | |
| 898 | 933524 | return *this; | |
| 899 | } | ||
| 900 | |||
| 901 | /** \copydoc vecng::operator-=(const vector_type&) */ | ||
| 902 | 95392 | inline vector_type& operator-= (const vector_type& v) { | |
| 903 | 95392 | x -= v.x; | |
| 904 | 95392 | y -= v.y; | |
| 905 | 95392 | z -= v.z; | |
| 906 | 95392 | return *this; | |
| 907 | } | ||
| 908 | |||
| 909 | /** \copydoc vecng::operator*=(T2) */ | ||
| 910 | template <class T2> | ||
| 911 | ✗ | inline vector_type& operator*= (T2 s) { | |
| 912 | ✗ | x *= T(s); | |
| 913 | ✗ | y *= T(s); | |
| 914 | ✗ | z *= T(s); | |
| 915 | ✗ | return *this; | |
| 916 | } | ||
| 917 | |||
| 918 | /** \copydoc vecng::operator/=(T2) */ | ||
| 919 | template <class T2> | ||
| 920 | 36 | inline vector_type& operator/= (T2 s) { | |
| 921 | 36 | x /= T(s); | |
| 922 | 36 | y /= T(s); | |
| 923 | 36 | z /= T(s); | |
| 924 | 36 | return *this; | |
| 925 | } | ||
| 926 | |||
| 927 | /** \copydoc vecng::operator+(const vector_type&) const */ | ||
| 928 | 6020472 | inline vector_type operator+ (const vector_type& v) const { | |
| 929 | 6020472 | return vector_type(x + v.x, y + v.y, z + v.z); | |
| 930 | } | ||
| 931 | |||
| 932 | /** \copydoc vecng::operator-(const vector_type&) const */ | ||
| 933 | 13691407 | inline vector_type operator- (const vector_type& v) const { | |
| 934 |
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13691407 | return vector_type(x - v.x, y - v.y, z - v.z); |
| 935 | } | ||
| 936 | |||
| 937 | /** \copydoc vecng::operator/(T2) const */ | ||
| 938 | template <class T2> | ||
| 939 | ✗ | inline vector_type operator/ (T2 s) const { | |
| 940 | ✗ | return vector_type(x / T(s), y / T(s), z / T(s)); | |
| 941 | } | ||
| 942 | |||
| 943 | /** \copydoc vecng::operator-() const */ | ||
| 944 | 89998 | inline vector_type operator- () const { | |
| 945 | 89998 | return vector_type(-x, -y, -z); | |
| 946 | } | ||
| 947 | |||
| 948 | /** \copydoc vecng::dimension() const */ | ||
| 949 | 3606882 | index_t dimension() const { | |
| 950 | 3606882 | return dim; | |
| 951 | } | ||
| 952 | |||
| 953 | /** \copydoc vecng::data() */ | ||
| 954 | 4874326 | T* data() { | |
| 955 | 4874326 | return &x; | |
| 956 | } | ||
| 957 | |||
| 958 | /** \copydoc vecng::data() const */ | ||
| 959 | 551548508 | const T* data() const { | |
| 960 | 551548508 | return &x; | |
| 961 | } | ||
| 962 | |||
| 963 | /** \copydoc vecng::operator[](index_t) */ | ||
| 964 | 4848897 | inline T& operator[] (index_t i) { | |
| 965 |
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4848897 | geo_debug_assert(i < dim); |
| 966 | 4848897 | return data()[i]; | |
| 967 | } | ||
| 968 | |||
| 969 | /** \copydoc vecng::operator[](index_t) const */ | ||
| 970 | 466227776 | inline const T& operator[] (index_t i) const { | |
| 971 |
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466227776 | geo_debug_assert(i < dim); |
| 972 | 466227776 | return data()[i]; | |
| 973 | } | ||
| 974 | |||
| 975 | /** \brief Optimizes coordinate representation */ | ||
| 976 | 32035 | void optimize() { | |
| 977 | 32035 | Numeric::optimize_number_representation(x); | |
| 978 | 32035 | Numeric::optimize_number_representation(y); | |
| 979 | 32035 | Numeric::optimize_number_representation(z); | |
| 980 | 32035 | } | |
| 981 | |||
| 982 | /** \brief Vector x coordinate */ | ||
| 983 | T x; | ||
| 984 | /** \brief Vector y coordinate */ | ||
| 985 | T y; | ||
| 986 | /** \brief Vector z coordinate */ | ||
| 987 | T z; | ||
| 988 | }; | ||
| 989 | |||
| 990 | /** | ||
| 991 | * \copydoc vecng::dot(const vecng<DIM,T>&, const vecng<DIM,T>&)\ | ||
| 992 | * \relates vecng | ||
| 993 | */ | ||
| 994 | template <class T> | ||
| 995 | 23650680 | inline T dot( | |
| 996 | const vecng<3, T>& v1, const vecng<3, T>& v2 | ||
| 997 | ) { | ||
| 998 | 23650680 | return v1.x * v2.x + v1.y * v2.y + v1.z * v2.z; | |
| 999 | } | ||
| 1000 | |||
| 1001 | /** | ||
| 1002 | * \brief Computes the cross product of 2 vectors | ||
| 1003 | * \param[in] v1 the first vector | ||
| 1004 | * \param[in] v2 the second vector | ||
| 1005 | * \return the cross product (\p v1 x \p v2) | ||
| 1006 | * \relates vecng | ||
| 1007 | */ | ||
| 1008 | template <class T> | ||
| 1009 | 5337729 | inline vecng<3, T> cross( | |
| 1010 | const vecng<3, T>& v1, const vecng<3, T>& v2 | ||
| 1011 | ) { | ||
| 1012 | return vecng<3, T>( | ||
| 1013 |
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| 1014 |
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| 1015 |
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| 1016 |
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7184409 | ); |
| 1017 | } | ||
| 1018 | |||
| 1019 | #ifndef GOMGEN | ||
| 1020 | /** | ||
| 1021 | * \copydoc vecng::operator*(T2, const vecng<DIM,T>&) | ||
| 1022 | * \relates vecng | ||
| 1023 | */ | ||
| 1024 | template < | ||
| 1025 | class T2, class T, | ||
| 1026 | typename = std::enable_if_t<is_scalar<T2>::value> | ||
| 1027 | 7067482 | > inline vecng<3, T> operator* ( | |
| 1028 | T2 s, const vecng<3, T>& v | ||
| 1029 | ) { | ||
| 1030 | 7067482 | return vecng<3, T>(T(s) * v.x, T(s) * v.y, T(s) * v.z); | |
| 1031 | } | ||
| 1032 | |||
| 1033 | /** | ||
| 1034 | * \copydoc vecng::operator*(const vecng<DIM,T>&, T2) | ||
| 1035 | * \relates vecng | ||
| 1036 | */ | ||
| 1037 | template < | ||
| 1038 | class T2, class T, | ||
| 1039 | typename = std::enable_if_t<is_scalar<T2>::value> | ||
| 1040 | > inline vecng<3, T> operator* ( | ||
| 1041 | const vecng<3, T>& v, T2 s | ||
| 1042 | ) { | ||
| 1043 | return vecng<3, T>(T(s) * v.x, T(s) * v.y, T(s) * v.z); | ||
| 1044 | } | ||
| 1045 | |||
| 1046 | #endif | ||
| 1047 | |||
| 1048 | /************************************************************************/ | ||
| 1049 | |||
| 1050 | /** | ||
| 1051 | * \brief Specialization of class vecn3 for DIM == 4 | ||
| 1052 | * \see vecng | ||
| 1053 | */ | ||
| 1054 | template <class T> | ||
| 1055 | class vecng<4, T> { | ||
| 1056 | public: | ||
| 1057 | /** \copydoc vecng::dim */ | ||
| 1058 | static constexpr index_t dim = 4; | ||
| 1059 | |||
| 1060 | /** \copydoc vecng::vector_type */ | ||
| 1061 | typedef vecng<dim, T> vector_type; | ||
| 1062 | |||
| 1063 | /** \copydoc vecng::value_type */ | ||
| 1064 | typedef T value_type; | ||
| 1065 | |||
| 1066 | /** \copydoc vecng::vecng() */ | ||
| 1067 | 60625 | vecng() : | |
| 1068 | 60625 | x(0), | |
| 1069 | 60625 | y(0), | |
| 1070 | 60625 | z(0), | |
| 1071 | 60625 | w(0) { | |
| 1072 | 60625 | } | |
| 1073 | |||
| 1074 | /** | ||
| 1075 | * \brief Constructs a vector from coordinates | ||
| 1076 | * \param[in] x_in , y_in , z_in , w_in references to vector coordinates | ||
| 1077 | */ | ||
| 1078 | ✗ | vecng(const T& x_in, const T& y_in, const T& z_in, const T& w_in) : | |
| 1079 | ✗ | x(x_in), | |
| 1080 | ✗ | y(y_in), | |
| 1081 | ✗ | z(z_in), | |
| 1082 | ✗ | w(w_in) { | |
| 1083 | ✗ | } | |
| 1084 | |||
| 1085 | /** | ||
| 1086 | * \brief Constructs a vector from coordinates | ||
| 1087 | * \param[in] x_in , y_in , z_in , w_in vector coordinates as rvalues | ||
| 1088 | */ | ||
| 1089 | 2101 | vecng(T&& x_in, T&& y_in, T&& z_in, T&& w_in) : | |
| 1090 | 2101 | x(x_in), | |
| 1091 | 2101 | y(y_in), | |
| 1092 | 2101 | z(z_in), | |
| 1093 | 2101 | w(w_in) { | |
| 1094 | 2101 | } | |
| 1095 | |||
| 1096 | vecng(const vecng<4,T>& rhs) = default; | ||
| 1097 | vecng(vecng<4,T>&& rhs) = default; | ||
| 1098 | |||
| 1099 | /** \copydoc vecng::vecng(const vecng<DIM, T2>&) */ | ||
| 1100 | template <class T2> | ||
| 1101 | explicit vecng(const vecng<dim, T2>& v) : | ||
| 1102 | x(v.x), | ||
| 1103 | y(v.y), | ||
| 1104 | z(v.z), | ||
| 1105 | w(v.w) { | ||
| 1106 | } | ||
| 1107 | |||
| 1108 | /** \copydoc vecng::vecng(const T2*) */ | ||
| 1109 | template <class T2> | ||
| 1110 | ✗ | explicit vecng(const T2* v) : | |
| 1111 | ✗ | x(v[0]), | |
| 1112 | ✗ | y(v[1]), | |
| 1113 | ✗ | z(v[2]), | |
| 1114 | ✗ | w(v[3]) { | |
| 1115 | ✗ | } | |
| 1116 | |||
| 1117 | /** \copydoc vecng::vecng(const std::initializer_list<T>) */ | ||
| 1118 | vecng(const std::initializer_list<T>& Vi) { | ||
| 1119 | index_t i = 0; | ||
| 1120 | for(auto& it: Vi) { | ||
| 1121 | geo_debug_assert(i < dim); | ||
| 1122 | data()[i] = it; | ||
| 1123 | ++i; | ||
| 1124 | } | ||
| 1125 | } | ||
| 1126 | |||
| 1127 | vecng<4,T>& operator=(const vecng<4,T>& rhs) = default; | ||
| 1128 | vecng<4,T>& operator=(vecng<4,T>&& rhs) = default; | ||
| 1129 | |||
| 1130 | // -- Conversion scalar constructors -- | ||
| 1131 | |||
| 1132 | template<typename U> | ||
| 1133 | explicit vecng(vecng<1, U> const& v); | ||
| 1134 | |||
| 1135 | template<typename X, typename Y, typename Z, typename W> | ||
| 1136 | vecng(X _x, Y _y, Z _z, W _w); | ||
| 1137 | template<typename X, typename Y, typename Z, typename W> | ||
| 1138 | vecng(const vecng<1, X>& _x, Y _y, Z _z, W _w); | ||
| 1139 | template<typename X, typename Y, typename Z, typename W> | ||
| 1140 | vecng(X _x, const vecng<1, Y>& _y, Z _z, W _w); | ||
| 1141 | template<typename X, typename Y, typename Z, typename W> | ||
| 1142 | vecng(const vecng<1, X>& _x, const vecng<1, Y>& _y, Z _z, W _w); | ||
| 1143 | template<typename X, typename Y, typename Z, typename W> | ||
| 1144 | vecng(X _x, Y _y, const vecng<1, Z>& _z, W _w); | ||
| 1145 | template<typename X, typename Y, typename Z, typename W> | ||
| 1146 | vecng(const vecng<1, X>& _x, Y _y, const vecng<1, Z>& _z, W _w); | ||
| 1147 | template<typename X, typename Y, typename Z, typename W> | ||
| 1148 | vecng(X _x, const vecng<1, Y>& _y, const vecng<1, Z>& _z, W _w); | ||
| 1149 | template<typename X, typename Y, typename Z, typename W> | ||
| 1150 | vecng( | ||
| 1151 | const vecng<1, X>& _x, const vecng<1, Y>& _y, | ||
| 1152 | const vecng<1, Z>& _z, W _w | ||
| 1153 | ); | ||
| 1154 | template<typename X, typename Y, typename Z, typename W> | ||
| 1155 | vecng(const vecng<1, X>& _x, Y _y, Z _z, const vecng<1, W>& _w); | ||
| 1156 | template<typename X, typename Y, typename Z, typename W> | ||
| 1157 | vecng(X _x, const vecng<1, Y>& _y, Z _z, const vecng<1, W>& _w); | ||
| 1158 | template<typename X, typename Y, typename Z, typename W> | ||
| 1159 | vecng( | ||
| 1160 | const vecng<1, X>& _x, const vecng<1, Y>& _y, Z _z, | ||
| 1161 | const vecng<1, W>& _w | ||
| 1162 | ); | ||
| 1163 | template<typename X, typename Y, typename Z, typename W> | ||
| 1164 | vecng(X _x, Y _y, const vecng<1, Z>& _z, const vecng<1, W>& _w); | ||
| 1165 | template<typename X, typename Y, typename Z, typename W> | ||
| 1166 | vecng( | ||
| 1167 | const vecng<1, X>& _x, Y _y, const vecng<1, Z>& _z, | ||
| 1168 | const vecng<1, W>& _w | ||
| 1169 | ); | ||
| 1170 | template<typename X, typename Y, typename Z, typename W> | ||
| 1171 | vecng( | ||
| 1172 | X _x, const vecng<1, Y>& _y, const vecng<1, Z>& _z, | ||
| 1173 | const vecng<1, W>& _w | ||
| 1174 | ); | ||
| 1175 | template<typename X, typename Y, typename Z, typename W> | ||
| 1176 | vecng( | ||
| 1177 | const vecng<1, X>& _x, const vecng<1, Y>& _y, | ||
| 1178 | const vecng<1, Z>& _z, const vecng<1, W>& _w | ||
| 1179 | ); | ||
| 1180 | |||
| 1181 | // -- Conversion vector constructors -- | ||
| 1182 | |||
| 1183 | template<typename A, typename B, typename C> | ||
| 1184 | vecng(const vecng<2, A>& _xy, B _z, C _w); | ||
| 1185 | template<typename A, typename B, typename C> | ||
| 1186 | vecng(const vecng<2, A>& _xy, const vecng<1, B> & _z, C _w); | ||
| 1187 | template<typename A, typename B, typename C> | ||
| 1188 | vecng(const vecng<2, A>& _xy, B _z, const vecng<1, C>& _w); | ||
| 1189 | template<typename A, typename B, typename C> | ||
| 1190 | vecng( | ||
| 1191 | const vecng<2, A>& _xy, const vecng<1, B>& _z, | ||
| 1192 | const vecng<1, C>& _w | ||
| 1193 | ); | ||
| 1194 | template<typename A, typename B, typename C> | ||
| 1195 | vecng(A _x, const vecng<2, B>& _yz, C _w); | ||
| 1196 | template<typename A, typename B, typename C> | ||
| 1197 | vecng(const vecng<1, A>& _x, const vecng<2, B>& _yz, C _w); | ||
| 1198 | template<typename A, typename B, typename C> | ||
| 1199 | vecng(A _x, const vecng<2, B>& _yz, const vecng<1, C>& _w); | ||
| 1200 | template<typename A, typename B, typename C> | ||
| 1201 | vecng( | ||
| 1202 | const vecng<1, A>& _x, const vecng<2, B>& _yz, | ||
| 1203 | const vecng<1, C>& _w | ||
| 1204 | ); | ||
| 1205 | template<typename A, typename B, typename C> | ||
| 1206 | vecng(A _x, B _y, const vecng<2, C>& _zw); | ||
| 1207 | template<typename A, typename B, typename C> | ||
| 1208 | vecng(const vecng<1, A>& _x, B _y, const vecng<2, C>& _zw); | ||
| 1209 | template<typename A, typename B, typename C> | ||
| 1210 | vecng(A _x, const vecng<1, B>& _y, const vecng<2, C>& _zw); | ||
| 1211 | template<typename A, typename B, typename C> | ||
| 1212 | vecng( | ||
| 1213 | const vecng<1, A>& _x, const vecng<1, B>& _y, const vecng<2, C>& _zw | ||
| 1214 | ); | ||
| 1215 | template<typename A, typename B> | ||
| 1216 | vecng(const vecng<3, A>& _xyz, B _w); | ||
| 1217 | template<typename A, typename B> | ||
| 1218 | vecng(const vecng<3, A>& _xyz, const vecng<1, B>& _w); | ||
| 1219 | template<typename A, typename B> | ||
| 1220 | vecng(A _x, const vecng<3, B>& _yzw); | ||
| 1221 | template<typename A, typename B> | ||
| 1222 | vecng(const vecng<1, A>& _x, const vecng<3, B>& _yzw); | ||
| 1223 | template<typename A, typename B> | ||
| 1224 | vecng(const vecng<2, A>& _xy, const vecng<2, B>& _zw); | ||
| 1225 | |||
| 1226 | /** \copydoc vecng::length2() const */ | ||
| 1227 | ✗ | inline T length2() const { | |
| 1228 | ✗ | return x * x + y * y + z * z + w * w; | |
| 1229 | } | ||
| 1230 | |||
| 1231 | /** \copydoc vecng::length() const */ | ||
| 1232 | inline T length() const { | ||
| 1233 | return sqrt(x * x + y * y + z * z + w * w); | ||
| 1234 | } | ||
| 1235 | |||
| 1236 | /** \copydoc vecng::distance2(const vector_type&) const */ | ||
| 1237 | 4608 | inline T distance2(const vector_type& v) const { | |
| 1238 | 4608 | T dx = v.x - x; | |
| 1239 | 4608 | T dy = v.y - y; | |
| 1240 | 4608 | T dz = v.z - z; | |
| 1241 | 4608 | T dw = v.w - w; | |
| 1242 | 4608 | return dx * dx + dy * dy + dz * dz + dw * dw; | |
| 1243 | } | ||
| 1244 | |||
| 1245 | /** \copydoc vecng::distance(const vector_type&) const */ | ||
| 1246 | 4608 | inline T distance(const vector_type& v) const { | |
| 1247 | 4608 | return sqrt(distance2(v)); | |
| 1248 | } | ||
| 1249 | |||
| 1250 | /** \copydoc vecng::dimension() const */ | ||
| 1251 | index_t dimension() const { | ||
| 1252 | return dim; | ||
| 1253 | } | ||
| 1254 | |||
| 1255 | /** \copydoc vecng::operator+=(const vector_type&) */ | ||
| 1256 | inline vector_type& operator+= (const vector_type& v) { | ||
| 1257 | x += v.x; | ||
| 1258 | y += v.y; | ||
| 1259 | z += v.z; | ||
| 1260 | w += v.w; | ||
| 1261 | return *this; | ||
| 1262 | } | ||
| 1263 | |||
| 1264 | /** \copydoc vecng::operator-=(const vector_type&) */ | ||
| 1265 | inline vector_type& operator-= (const vector_type& v) { | ||
| 1266 | x -= v.x; | ||
| 1267 | y -= v.y; | ||
| 1268 | z -= v.z; | ||
| 1269 | w -= v.w; | ||
| 1270 | return *this; | ||
| 1271 | } | ||
| 1272 | |||
| 1273 | /** \copydoc vecng::operator*=(T2) */ | ||
| 1274 | template <class T2> | ||
| 1275 | inline vector_type& operator*= (T2 s) { | ||
| 1276 | x *= T(s); | ||
| 1277 | y *= T(s); | ||
| 1278 | z *= T(s); | ||
| 1279 | w *= T(s); | ||
| 1280 | return *this; | ||
| 1281 | } | ||
| 1282 | |||
| 1283 | /** \copydoc vecng::operator/=(T2) */ | ||
| 1284 | template <class T2> | ||
| 1285 | inline vector_type& operator/= (T2 s) { | ||
| 1286 | x /= T(s); | ||
| 1287 | y /= T(s); | ||
| 1288 | z /= T(s); | ||
| 1289 | w /= T(s); | ||
| 1290 | return *this; | ||
| 1291 | } | ||
| 1292 | |||
| 1293 | /** \copydoc vecng::operator+(const vector_type&) const */ | ||
| 1294 | 900 | inline vector_type operator+ (const vector_type& v) const { | |
| 1295 | 900 | return vector_type(x + v.x, y + v.y, z + v.z, w + v.w); | |
| 1296 | } | ||
| 1297 | |||
| 1298 | /** \copydoc vecng::operator-(const vector_type&) const */ | ||
| 1299 | ✗ | inline vector_type operator- (const vector_type& v) const { | |
| 1300 | ✗ | return vector_type(x - v.x, y - v.y, z - v.z, w - v.w); | |
| 1301 | } | ||
| 1302 | |||
| 1303 | /** \copydoc vecng::operator/(T2) const */ | ||
| 1304 | template <class T2> | ||
| 1305 | inline vector_type operator/ (T2 s) const { | ||
| 1306 | return vector_type(x / T(s), y / T(s), z / T(s), w / T(s)); | ||
| 1307 | } | ||
| 1308 | |||
| 1309 | /** \copydoc vecng::operator-() const */ | ||
| 1310 | inline vector_type operator- () const { | ||
| 1311 | return vector_type(-x, -y, -z, -w); | ||
| 1312 | } | ||
| 1313 | |||
| 1314 | /** \copydoc vecng::data() */ | ||
| 1315 | 1213700 | T* data() { | |
| 1316 | 1213700 | return &x; | |
| 1317 | } | ||
| 1318 | |||
| 1319 | /** \copydoc vecng::data() const */ | ||
| 1320 | 970000 | const T* data() const { | |
| 1321 | 970000 | return &x; | |
| 1322 | } | ||
| 1323 | |||
| 1324 | /** \copydoc vecng::operator[](index_t) */ | ||
| 1325 | 1213700 | inline T& operator[] (index_t i) { | |
| 1326 |
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1213700 | geo_debug_assert(i < dim); |
| 1327 | 1213700 | return data()[i]; | |
| 1328 | } | ||
| 1329 | |||
| 1330 | /** \copydoc vecng::operator[](index_t) const */ | ||
| 1331 | 970000 | inline const T& operator[] (index_t i) const { | |
| 1332 |
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970000 | geo_debug_assert(i < dim); |
| 1333 | 970000 | return data()[i]; | |
| 1334 | } | ||
| 1335 | |||
| 1336 | /** \brief Vector x coordinate */ | ||
| 1337 | T x; | ||
| 1338 | /** \brief Vector y coordinate */ | ||
| 1339 | T y; | ||
| 1340 | /** \brief Vector z coordinate */ | ||
| 1341 | T z; | ||
| 1342 | /** \brief Vector w coordinate */ | ||
| 1343 | T w; | ||
| 1344 | }; | ||
| 1345 | |||
| 1346 | /** | ||
| 1347 | * \copydoc vecng::dot(const vecng<DIM,T>&, const vecng<DIM,T>&) | ||
| 1348 | * \relates vecng | ||
| 1349 | */ | ||
| 1350 | template <class T> | ||
| 1351 | ✗ | inline T dot( | |
| 1352 | const vecng<4, T>& v1, const vecng<4, T>& v2 | ||
| 1353 | ) { | ||
| 1354 | ✗ | return v1.x * v2.x + v1.y * v2.y + v1.z * v2.z + v1.w * v2.w; | |
| 1355 | } | ||
| 1356 | |||
| 1357 | #ifndef GOMGEN | ||
| 1358 | /** | ||
| 1359 | * \copydoc vecng::operator*(T2, const vecng<DIM,T>&) | ||
| 1360 | * \relates vecng | ||
| 1361 | */ | ||
| 1362 | template < | ||
| 1363 | class T2, class T, | ||
| 1364 | typename = std::enable_if_t<is_scalar<T2>::value> | ||
| 1365 | 1200 | > inline vecng<4, T> operator* ( | |
| 1366 | T2 s, const vecng<4, T>& v | ||
| 1367 | ) { | ||
| 1368 | 1200 | return vecng<4, T>(T(s) * v.x, T(s) * v.y, T(s) * v.z, T(s) * v.w); | |
| 1369 | } | ||
| 1370 | |||
| 1371 | /** | ||
| 1372 | * \copydoc vecng::operator*(const vecng<DIM,T>&, T2) | ||
| 1373 | * \relates vecng | ||
| 1374 | */ | ||
| 1375 | template < | ||
| 1376 | class T2, class T, | ||
| 1377 | typename = std::enable_if_t<is_scalar<T2>::value> | ||
| 1378 | > inline vecng<4, T> operator* ( | ||
| 1379 | const vecng<4, T>& v, T2 s | ||
| 1380 | ) { | ||
| 1381 | return vecng<4, T>(T(s) * v.x, T(s) * v.y, T(s) * v.z, T(s) * v.w); | ||
| 1382 | } | ||
| 1383 | |||
| 1384 | #endif | ||
| 1385 | |||
| 1386 | /** | ||
| 1387 | * \brief Writes a vector to a stream | ||
| 1388 | * \details This writes the coordinates of vector \p v separated by a | ||
| 1389 | * space character to the output stream \p out. | ||
| 1390 | * \param[in] out the output stream | ||
| 1391 | * \param[in] v the vector to write | ||
| 1392 | * \return a reference to the output stream \p out | ||
| 1393 | * \relates vecng | ||
| 1394 | */ | ||
| 1395 | template <index_t DIM, class T> | ||
| 1396 | ✗ | inline std::ostream& operator<< ( | |
| 1397 | std::ostream& out, const GEO::vecng<DIM, T>& v | ||
| 1398 | ) { | ||
| 1399 | ✗ | const char* sep = ""; | |
| 1400 | ✗ | for(index_t i = 0; i < DIM; i++) { | |
| 1401 | ✗ | out << sep << v[i]; | |
| 1402 | ✗ | sep = " "; | |
| 1403 | } | ||
| 1404 | ✗ | return out; | |
| 1405 | } | ||
| 1406 | |||
| 1407 | /** | ||
| 1408 | * \brief Reads a vector from a stream | ||
| 1409 | * \details This reads \p DIM coordinates from the input stream \p in and | ||
| 1410 | * stores them in vector \p v. Understands both "x y z", | ||
| 1411 | * "[x, y, z]" and "{x, y, z}" formats. | ||
| 1412 | * \param[in] in the input stream | ||
| 1413 | * \param[out] v the vector to read | ||
| 1414 | * \return a reference to the input stream \p in | ||
| 1415 | * \relates vecng | ||
| 1416 | */ | ||
| 1417 | template <index_t DIM, class T> | ||
| 1418 | ✗ | inline std::istream& operator>> ( | |
| 1419 | std::istream& in, GEO::vecng<DIM, T>& v | ||
| 1420 | ) { | ||
| 1421 | char c; | ||
| 1422 | ✗ | while(isspace(in.peek())) { | |
| 1423 | ✗ | in.get(c); | |
| 1424 | } | ||
| 1425 | ✗ | if(in.peek() == '[' || in.peek() == '{') { | |
| 1426 | ✗ | in.get(c); | |
| 1427 | } | ||
| 1428 | ✗ | while(isspace(in.peek())) { | |
| 1429 | ✗ | in.get(c); | |
| 1430 | } | ||
| 1431 | ✗ | for(index_t i = 0; i < DIM; i++) { | |
| 1432 | ✗ | in >> v[i]; | |
| 1433 | ✗ | while(isspace(in.peek())) { | |
| 1434 | ✗ | in.get(c); | |
| 1435 | } | ||
| 1436 | ✗ | if(in.peek() == ',') { | |
| 1437 | ✗ | in.get(c); | |
| 1438 | } | ||
| 1439 | ✗ | while(isspace(in.peek())) { | |
| 1440 | ✗ | in.get(c); | |
| 1441 | } | ||
| 1442 | } | ||
| 1443 | ✗ | if(in.peek() == ']' || in.peek() == '}') { | |
| 1444 | ✗ | in.get(c); | |
| 1445 | } | ||
| 1446 | ✗ | return in; | |
| 1447 | } | ||
| 1448 | |||
| 1449 | /************************************************************************/ | ||
| 1450 | // -- Conversion vector constructors -- | ||
| 1451 | |||
| 1452 | template<typename T> | ||
| 1453 | template<typename A, typename B> | ||
| 1454 | vecng<3, T>::vecng(const vecng<2, A>& _xy, B _z) | ||
| 1455 | : x{static_cast<T>(_xy.x)} | ||
| 1456 | , y{static_cast<T>(_xy.y)} | ||
| 1457 | , z{static_cast<T>(_z)} | ||
| 1458 | {} | ||
| 1459 | |||
| 1460 | template<typename T> | ||
| 1461 | template<typename A, typename B> | ||
| 1462 | vecng<3, T>::vecng(const vecng<2, A>& _xy, const vecng<1, B>& _z) | ||
| 1463 | : x(static_cast<T>(_xy.x)) | ||
| 1464 | , y(static_cast<T>(_xy.y)) | ||
| 1465 | , z(static_cast<T>(_z.x)) | ||
| 1466 | {} | ||
| 1467 | |||
| 1468 | template<typename T> | ||
| 1469 | template<typename A, typename B> | ||
| 1470 | vecng<3, T>::vecng(A _x, const vecng<2, B>& _yz) | ||
| 1471 | : x(static_cast<T>(_x)) | ||
| 1472 | , y(static_cast<T>(_yz.x)) | ||
| 1473 | , z(static_cast<T>(_yz.y)) | ||
| 1474 | {} | ||
| 1475 | |||
| 1476 | template<typename T> | ||
| 1477 | template<typename A, typename B> | ||
| 1478 | vecng<3, T>::vecng(const vecng<1, A>& _x, const vecng<2, B>& _yz) | ||
| 1479 | : x(static_cast<T>(_x.x)) | ||
| 1480 | , y(static_cast<T>(_yz.x)) | ||
| 1481 | , z(static_cast<T>(_yz.y)) | ||
| 1482 | {} | ||
| 1483 | |||
| 1484 | template<typename T> | ||
| 1485 | template<typename U> | ||
| 1486 | vecng<3, T>::vecng(const vecng<4, U>& v) | ||
| 1487 | : x(static_cast<T>(v.x)) | ||
| 1488 | , y(static_cast<T>(v.y)) | ||
| 1489 | , z(static_cast<T>(v.z)) | ||
| 1490 | {} | ||
| 1491 | |||
| 1492 | template<typename T> | ||
| 1493 | template<typename U> | ||
| 1494 | vecng<4, T>::vecng(const vecng<1, U>& v) | ||
| 1495 | : x(static_cast<T>(v.x)) | ||
| 1496 | , y(static_cast<T>(v.x)) | ||
| 1497 | , z(static_cast<T>(v.x)) | ||
| 1498 | , w(static_cast<T>(v.x)) | ||
| 1499 | {} | ||
| 1500 | |||
| 1501 | template<typename T> | ||
| 1502 | template<typename X, typename Y, typename Z, typename W> | ||
| 1503 | vecng<4, T>::vecng(X _x, Y _y, Z _z, W _w) | ||
| 1504 | : x(static_cast<T>(_x)) | ||
| 1505 | , y(static_cast<T>(_y)) | ||
| 1506 | , z(static_cast<T>(_z)) | ||
| 1507 | , w(static_cast<T>(_w)) | ||
| 1508 | {} | ||
| 1509 | |||
| 1510 | template<typename T> | ||
| 1511 | template<typename X, typename Y, typename Z, typename W> | ||
| 1512 | vecng<4, T>::vecng(const vecng<1, X>& _x, Y _y, Z _z, W _w) | ||
| 1513 | : x(static_cast<T>(_x.x)) | ||
| 1514 | , y(static_cast<T>(_y)) | ||
| 1515 | , z(static_cast<T>(_z)) | ||
| 1516 | , w(static_cast<T>(_w)) | ||
| 1517 | {} | ||
| 1518 | |||
| 1519 | template<typename T> | ||
| 1520 | template<typename X, typename Y, typename Z, typename W> | ||
| 1521 | vecng<4, T>::vecng(X _x, const vecng<1, Y>& _y, Z _z, W _w) | ||
| 1522 | : x(static_cast<T>(_x)) | ||
| 1523 | , y(static_cast<T>(_y.x)) | ||
| 1524 | , z(static_cast<T>(_z)) | ||
| 1525 | , w(static_cast<T>(_w)) | ||
| 1526 | {} | ||
| 1527 | |||
| 1528 | template<typename T> | ||
| 1529 | template<typename X, typename Y, typename Z, typename W> | ||
| 1530 | vecng<4, T>::vecng(const vecng<1, X>& _x, const vecng<1, Y>& _y, Z _z, W _w) | ||
| 1531 | : x(static_cast<T>(_x.x)) | ||
| 1532 | , y(static_cast<T>(_y.x)) | ||
| 1533 | , z(static_cast<T>(_z)) | ||
| 1534 | , w(static_cast<T>(_w)) | ||
| 1535 | {} | ||
| 1536 | |||
| 1537 | template<typename T> | ||
| 1538 | template<typename X, typename Y, typename Z, typename W> | ||
| 1539 | vecng<4, T>::vecng(X _x, Y _y, const vecng<1, Z>& _z, W _w) | ||
| 1540 | : x(static_cast<T>(_x)) | ||
| 1541 | , y(static_cast<T>(_y)) | ||
| 1542 | , z(static_cast<T>(_z.x)) | ||
| 1543 | , w(static_cast<T>(_w)) | ||
| 1544 | {} | ||
| 1545 | |||
| 1546 | template<typename T> | ||
| 1547 | template<typename X, typename Y, typename Z, typename W> | ||
| 1548 | vecng<4, T>::vecng(const vecng<1, X>& _x, Y _y, const vecng<1, Z>& _z, W _w) | ||
| 1549 | : x(static_cast<T>(_x.x)) | ||
| 1550 | , y(static_cast<T>(_y)) | ||
| 1551 | , z(static_cast<T>(_z.x)) | ||
| 1552 | , w(static_cast<T>(_w)) | ||
| 1553 | {} | ||
| 1554 | |||
| 1555 | template<typename T> | ||
| 1556 | template<typename X, typename Y, typename Z, typename W> | ||
| 1557 | vecng<4, T>::vecng(X _x, const vecng<1, Y>& _y, const vecng<1, Z>& _z, W _w) | ||
| 1558 | : x(static_cast<T>(_x)) | ||
| 1559 | , y(static_cast<T>(_y.x)) | ||
| 1560 | , z(static_cast<T>(_z.x)) | ||
| 1561 | , w(static_cast<T>(_w)) | ||
| 1562 | {} | ||
| 1563 | |||
| 1564 | template<typename T> | ||
| 1565 | template<typename X, typename Y, typename Z, typename W> | ||
| 1566 | vecng<4, T>::vecng( | ||
| 1567 | const vecng<1, X>& _x, const vecng<1, Y>& _y, | ||
| 1568 | const vecng<1, Z>& _z, W _w | ||
| 1569 | ) : x(static_cast<T>(_x.x)) | ||
| 1570 | , y(static_cast<T>(_y.x)) | ||
| 1571 | , z(static_cast<T>(_z.x)) | ||
| 1572 | , w(static_cast<T>(_w)) | ||
| 1573 | {} | ||
| 1574 | |||
| 1575 | template<typename T> | ||
| 1576 | template<typename X, typename Y, typename Z, typename W> | ||
| 1577 | vecng<4, T>::vecng( | ||
| 1578 | const vecng<1, X>& _x, Y _y, Z _z, const vecng<1, W>& _w | ||
| 1579 | ) : x(static_cast<T>(_x.x)) | ||
| 1580 | , y(static_cast<T>(_y)) | ||
| 1581 | , z(static_cast<T>(_z)) | ||
| 1582 | , w(static_cast<T>(_w.x)) | ||
| 1583 | {} | ||
| 1584 | |||
| 1585 | template<typename T> | ||
| 1586 | template<typename X, typename Y, typename Z, typename W> | ||
| 1587 | vecng<4, T>::vecng( | ||
| 1588 | X _x, const vecng<1, Y>& _y, Z _z, const vecng<1, W>& _w | ||
| 1589 | ) : x(static_cast<T>(_x)) | ||
| 1590 | , y(static_cast<T>(_y.x)) | ||
| 1591 | , z(static_cast<T>(_z)) | ||
| 1592 | , w(static_cast<T>(_w.x)) | ||
| 1593 | {} | ||
| 1594 | |||
| 1595 | template<typename T> | ||
| 1596 | template<typename X, typename Y, typename Z, typename W> | ||
| 1597 | vecng<4, T>::vecng( | ||
| 1598 | const vecng<1, X>& _x, const vecng<1, Y>& _y, Z _z, | ||
| 1599 | const vecng<1, W>& _w | ||
| 1600 | ) : x(static_cast<T>(_x.x)) | ||
| 1601 | , y(static_cast<T>(_y.x)) | ||
| 1602 | , z(static_cast<T>(_z)) | ||
| 1603 | , w(static_cast<T>(_w.x)) | ||
| 1604 | {} | ||
| 1605 | |||
| 1606 | template<typename T> | ||
| 1607 | template<typename X, typename Y, typename Z, typename W> | ||
| 1608 | vecng<4, T>::vecng(X _x, Y _y, const vecng<1, Z>& _z, const vecng<1, W>& _w) | ||
| 1609 | : x(static_cast<T>(_x)) | ||
| 1610 | , y(static_cast<T>(_y)) | ||
| 1611 | , z(static_cast<T>(_z.x)) | ||
| 1612 | , w(static_cast<T>(_w.x)) | ||
| 1613 | {} | ||
| 1614 | |||
| 1615 | template<typename T> | ||
| 1616 | template<typename X, typename Y, typename Z, typename W> | ||
| 1617 | vecng<4, T>::vecng( | ||
| 1618 | const vecng<1, X>& _x, Y _y, const vecng<1, Z>& _z, | ||
| 1619 | const vecng<1, W>& _w | ||
| 1620 | ) : x(static_cast<T>(_x.x)) | ||
| 1621 | , y(static_cast<T>(_y)) | ||
| 1622 | , z(static_cast<T>(_z.x)) | ||
| 1623 | , w(static_cast<T>(_w.x)) | ||
| 1624 | {} | ||
| 1625 | |||
| 1626 | template<typename T> | ||
| 1627 | template<typename X, typename Y, typename Z, typename W> | ||
| 1628 | vecng<4, T>::vecng( | ||
| 1629 | X _x, const vecng<1, Y>& _y, const vecng<1, Z>& _z, | ||
| 1630 | const vecng<1, W>& _w | ||
| 1631 | ) : x(static_cast<T>(_x)) | ||
| 1632 | , y(static_cast<T>(_y.x)) | ||
| 1633 | , z(static_cast<T>(_z.x)) | ||
| 1634 | , w(static_cast<T>(_w.x)) | ||
| 1635 | {} | ||
| 1636 | |||
| 1637 | template<typename T> | ||
| 1638 | template<typename X, typename Y, typename Z, typename W> | ||
| 1639 | vecng<4, T>::vecng( | ||
| 1640 | const vecng<1, X>& _x, const vecng<1, Y>& _y, | ||
| 1641 | const vecng<1, Z>& _z, const vecng<1, W>& _w | ||
| 1642 | ) : x(static_cast<T>(_x.x)) | ||
| 1643 | , y(static_cast<T>(_y.x)) | ||
| 1644 | , z(static_cast<T>(_z.x)) | ||
| 1645 | , w(static_cast<T>(_w.x)) | ||
| 1646 | {} | ||
| 1647 | |||
| 1648 | // -- Conversion vector constructors -- | ||
| 1649 | |||
| 1650 | template<typename T> | ||
| 1651 | template<typename A, typename B, typename C> | ||
| 1652 | 502 | vecng<4, T>::vecng(const vecng<2, A>& _xy, B _z, C _w) | |
| 1653 | 502 | : x(static_cast<T>(_xy.x)) | |
| 1654 | 502 | , y(static_cast<T>(_xy.y)) | |
| 1655 | 502 | , z(static_cast<T>(_z)) | |
| 1656 | 502 | , w(static_cast<T>(_w)) | |
| 1657 | 502 | {} | |
| 1658 | |||
| 1659 | template<typename T> | ||
| 1660 | template<typename A, typename B, typename C> | ||
| 1661 | vecng<4, T>::vecng(const vecng<2, A>& _xy, const vecng<1, B>& _z, C _w) | ||
| 1662 | : x(static_cast<T>(_xy.x)) | ||
| 1663 | , y(static_cast<T>(_xy.y)) | ||
| 1664 | , z(static_cast<T>(_z.x)) | ||
| 1665 | , w(static_cast<T>(_w)) | ||
| 1666 | {} | ||
| 1667 | |||
| 1668 | template<typename T> | ||
| 1669 | template<typename A, typename B, typename C> | ||
| 1670 | vecng<4, T>::vecng(const vecng<2, A>& _xy, B _z, const vecng<1, C>& _w) | ||
| 1671 | : x(static_cast<T>(_xy.x)) | ||
| 1672 | , y(static_cast<T>(_xy.y)) | ||
| 1673 | , z(static_cast<T>(_z)) | ||
| 1674 | , w(static_cast<T>(_w.x)) | ||
| 1675 | {} | ||
| 1676 | |||
| 1677 | template<typename T> | ||
| 1678 | template<typename A, typename B, typename C> | ||
| 1679 | vecng<4, T>::vecng( | ||
| 1680 | const vecng<2, A>& _xy, const vecng<1, B>& _z, const vecng<1, C>& _w | ||
| 1681 | ) : x(static_cast<T>(_xy.x)) | ||
| 1682 | , y(static_cast<T>(_xy.y)) | ||
| 1683 | , z(static_cast<T>(_z.x)) | ||
| 1684 | , w(static_cast<T>(_w.x)) | ||
| 1685 | {} | ||
| 1686 | |||
| 1687 | template<typename T> | ||
| 1688 | template<typename A, typename B, typename C> | ||
| 1689 | vecng<4, T>::vecng(A _x, const vecng<2, B>& _yz, C _w) | ||
| 1690 | : x(static_cast<T>(_x)) | ||
| 1691 | , y(static_cast<T>(_yz.x)) | ||
| 1692 | , z(static_cast<T>(_yz.y)) | ||
| 1693 | , w(static_cast<T>(_w)) | ||
| 1694 | {} | ||
| 1695 | |||
| 1696 | template<typename T> | ||
| 1697 | template<typename A, typename B, typename C> | ||
| 1698 | vecng<4, T>::vecng(const vecng<1, A>& _x, const vecng<2, B>& _yz, C _w) | ||
| 1699 | : x(static_cast<T>(_x.x)) | ||
| 1700 | , y(static_cast<T>(_yz.x)) | ||
| 1701 | , z(static_cast<T>(_yz.y)) | ||
| 1702 | , w(static_cast<T>(_w)) | ||
| 1703 | {} | ||
| 1704 | |||
| 1705 | template<typename T> | ||
| 1706 | template<typename A, typename B, typename C> | ||
| 1707 | vecng<4, T>::vecng(A _x, const vecng<2, B>& _yz, const vecng<1, C>& _w) | ||
| 1708 | : x(static_cast<T>(_x)) | ||
| 1709 | , y(static_cast<T>(_yz.x)) | ||
| 1710 | , z(static_cast<T>(_yz.y)) | ||
| 1711 | , w(static_cast<T>(_w.x)) | ||
| 1712 | {} | ||
| 1713 | |||
| 1714 | template<typename T> | ||
| 1715 | template<typename A, typename B, typename C> | ||
| 1716 | vecng<4, T>::vecng( | ||
| 1717 | const vecng<1, A>& _x, const vecng<2, B>& _yz, const vecng<1, C>& _w | ||
| 1718 | ) : x(static_cast<T>(_x.x)) | ||
| 1719 | , y(static_cast<T>(_yz.x)) | ||
| 1720 | , z(static_cast<T>(_yz.y)) | ||
| 1721 | , w(static_cast<T>(_w.x)) | ||
| 1722 | {} | ||
| 1723 | |||
| 1724 | template<typename T> | ||
| 1725 | template<typename A, typename B, typename C> | ||
| 1726 | vecng<4, T>::vecng(A _x, B _y, const vecng<2, C>& _zw) | ||
| 1727 | : x(static_cast<T>(_x)) | ||
| 1728 | , y(static_cast<T>(_y)) | ||
| 1729 | , z(static_cast<T>(_zw.x)) | ||
| 1730 | , w(static_cast<T>(_zw.y)) | ||
| 1731 | {} | ||
| 1732 | |||
| 1733 | template<typename T> | ||
| 1734 | template<typename A, typename B, typename C> | ||
| 1735 | vecng<4, T>::vecng(const vecng<1, A>& _x, B _y, const vecng<2, C>& _zw) | ||
| 1736 | : x(static_cast<T>(_x.x)) | ||
| 1737 | , y(static_cast<T>(_y)) | ||
| 1738 | , z(static_cast<T>(_zw.x)) | ||
| 1739 | , w(static_cast<T>(_zw.y)) | ||
| 1740 | {} | ||
| 1741 | |||
| 1742 | template<typename T> | ||
| 1743 | template<typename A, typename B, typename C> | ||
| 1744 | vecng<4, T>::vecng(A _x, const vecng<1, B>& _y, const vecng<2, C>& _zw) | ||
| 1745 | : x(static_cast<T>(_x)) | ||
| 1746 | , y(static_cast<T>(_y.x)) | ||
| 1747 | , z(static_cast<T>(_zw.x)) | ||
| 1748 | , w(static_cast<T>(_zw.y)) | ||
| 1749 | {} | ||
| 1750 | |||
| 1751 | template<typename T> | ||
| 1752 | template<typename A, typename B, typename C> | ||
| 1753 | vecng<4, T>::vecng( | ||
| 1754 | const vecng<1, A>& _x, const vecng<1, B>& _y, const vecng<2, C>& _zw | ||
| 1755 | ) : x(static_cast<T>(_x.x)) | ||
| 1756 | , y(static_cast<T>(_y.x)) | ||
| 1757 | , z(static_cast<T>(_zw.x)) | ||
| 1758 | , w(static_cast<T>(_zw.y)) | ||
| 1759 | {} | ||
| 1760 | |||
| 1761 | template<typename T> | ||
| 1762 | template<typename A, typename B> | ||
| 1763 | 60123 | vecng<4, T>::vecng(const vecng<3, A>& _xyz, B _w) | |
| 1764 | 60123 | : x(static_cast<T>(_xyz.x)) | |
| 1765 | 60123 | , y(static_cast<T>(_xyz.y)) | |
| 1766 | 60123 | , z(static_cast<T>(_xyz.z)) | |
| 1767 | 60123 | , w(static_cast<T>(_w)) | |
| 1768 | 60123 | {} | |
| 1769 | |||
| 1770 | template<typename T> | ||
| 1771 | template<typename A, typename B> | ||
| 1772 | vecng<4, T>::vecng(const vecng<3, A>& _xyz, const vecng<1, B>& _w) | ||
| 1773 | : x(static_cast<T>(_xyz.x)) | ||
| 1774 | , y(static_cast<T>(_xyz.y)) | ||
| 1775 | , z(static_cast<T>(_xyz.z)) | ||
| 1776 | , w(static_cast<T>(_w.x)) | ||
| 1777 | {} | ||
| 1778 | |||
| 1779 | template<typename T> | ||
| 1780 | template<typename A, typename B> | ||
| 1781 | vecng<4, T>::vecng(A _x, const vecng<3, B>& _yzw) | ||
| 1782 | : x(static_cast<T>(_x)) | ||
| 1783 | , y(static_cast<T>(_yzw.x)) | ||
| 1784 | , z(static_cast<T>(_yzw.y)) | ||
| 1785 | , w(static_cast<T>(_yzw.z)) | ||
| 1786 | {} | ||
| 1787 | |||
| 1788 | template<typename T> | ||
| 1789 | template<typename A, typename B> | ||
| 1790 | vecng<4, T>::vecng(const vecng<1, A>& _x, const vecng<3, B>& _yzw) | ||
| 1791 | : x(static_cast<T>(_x.x)) | ||
| 1792 | , y(static_cast<T>(_yzw.x)) | ||
| 1793 | , z(static_cast<T>(_yzw.y)) | ||
| 1794 | , w(static_cast<T>(_yzw.z)) | ||
| 1795 | {} | ||
| 1796 | |||
| 1797 | template<typename T> | ||
| 1798 | template<typename A, typename B> | ||
| 1799 | vecng<4, T>::vecng(const vecng<2, A>& _xy, const vecng<2, B>& _zw) | ||
| 1800 | : x(static_cast<T>(_xy.x)) | ||
| 1801 | , y(static_cast<T>(_xy.y)) | ||
| 1802 | , z(static_cast<T>(_zw.x)) | ||
| 1803 | , w(static_cast<T>(_zw.y)) | ||
| 1804 | {} | ||
| 1805 | |||
| 1806 | /************************************************************************/ | ||
| 1807 | |||
| 1808 | namespace Numeric { | ||
| 1809 | |||
| 1810 | template<class T> | ||
| 1811 | inline void optimize_number_representation( | ||
| 1812 | vecng<2,T>& v | ||
| 1813 | ) { | ||
| 1814 | v.optimize(); | ||
| 1815 | } | ||
| 1816 | |||
| 1817 | template<class T> | ||
| 1818 | 32035 | inline void optimize_number_representation( | |
| 1819 | vecng<3,T>& v | ||
| 1820 | ) { | ||
| 1821 | 32035 | v.optimize(); | |
| 1822 | 32035 | } | |
| 1823 | |||
| 1824 | } | ||
| 1825 | |||
| 1826 | /************************************************************************/ | ||
| 1827 | } | ||
| 1828 | |||
| 1829 | #endif | ||
| 1830 |