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| 1 // random number generation -*- C++ -*- | |
| 2 | |
| 3 // Copyright (C) 2007, 2008, 2009 Free Software Foundation, Inc. | |
| 4 // | |
| 5 // This file is part of the GNU ISO C++ Library. This library is free | |
| 6 // software; you can redistribute it and/or modify it under the | |
| 7 // terms of the GNU General Public License as published by the | |
| 8 // Free Software Foundation; either version 3, or (at your option) | |
| 9 // any later version. | |
| 10 | |
| 11 // This library is distributed in the hope that it will be useful, | |
| 12 // but WITHOUT ANY WARRANTY; without even the implied warranty of | |
| 13 // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the | |
| 14 // GNU General Public License for more details. | |
| 15 | |
| 16 // Under Section 7 of GPL version 3, you are granted additional | |
| 17 // permissions described in the GCC Runtime Library Exception, version | |
| 18 // 3.1, as published by the Free Software Foundation. | |
| 19 | |
| 20 // You should have received a copy of the GNU General Public License and | |
| 21 // a copy of the GCC Runtime Library Exception along with this program; | |
| 22 // see the files COPYING3 and COPYING.RUNTIME respectively. If not, see | |
| 23 // <http://www.gnu.org/licenses/>. | |
| 24 | |
| 25 /** | |
| 26 * @file tr1_impl/random | |
| 27 * This is an internal header file, included by other library headers. | |
| 28 * You should not attempt to use it directly. | |
| 29 */ | |
| 30 | |
| 31 namespace std | |
| 32 { | |
| 33 _GLIBCXX_BEGIN_NAMESPACE_TR1 | |
| 34 | |
| 35 // [5.1] Random number generation | |
| 36 | |
| 37 /** | |
| 38 * @defgroup tr1_random Random Number Generation | |
| 39 * @ingroup numerics | |
| 40 * A facility for generating random numbers on selected distributions. | |
| 41 * @{ | |
| 42 */ | |
| 43 | |
| 44 /* | |
| 45 * Implementation-space details. | |
| 46 */ | |
| 47 namespace __detail | |
| 48 { | |
| 49 template<typename _UIntType, int __w, | |
| 50 bool = __w < std::numeric_limits<_UIntType>::digits> | |
| 51 struct _Shift | |
| 52 { static const _UIntType __value = 0; }; | |
| 53 | |
| 54 template<typename _UIntType, int __w> | |
| 55 struct _Shift<_UIntType, __w, true> | |
| 56 { static const _UIntType __value = _UIntType(1) << __w; }; | |
| 57 | |
| 58 template<typename _Tp, _Tp __a, _Tp __c, _Tp __m, bool> | |
| 59 struct _Mod; | |
| 60 | |
| 61 // Dispatch based on modulus value to prevent divide-by-zero compile-time | |
| 62 // errors when m == 0. | |
| 63 template<typename _Tp, _Tp __a, _Tp __c, _Tp __m> | |
| 64 inline _Tp | |
| 65 __mod(_Tp __x) | |
| 66 { return _Mod<_Tp, __a, __c, __m, __m == 0>::__calc(__x); } | |
| 67 | |
| 68 typedef __gnu_cxx::__conditional_type<(sizeof(unsigned) == 4), | |
| 69 unsigned, unsigned long>::__type _UInt32Type; | |
| 70 | |
| 71 /* | |
| 72 * An adaptor class for converting the output of any Generator into | |
| 73 * the input for a specific Distribution. | |
| 74 */ | |
| 75 template<typename _Engine, typename _Distribution> | |
| 76 struct _Adaptor | |
| 77 { | |
| 78 typedef typename remove_reference<_Engine>::type _BEngine; | |
| 79 typedef typename _BEngine::result_type _Engine_result_type; | |
| 80 typedef typename _Distribution::input_type result_type; | |
| 81 | |
| 82 public: | |
| 83 _Adaptor(const _Engine& __g) | |
| 84 : _M_g(__g) { } | |
| 85 | |
| 86 result_type | |
| 87 min() const | |
| 88 { | |
| 89 result_type __return_value; | |
| 90 if (is_integral<_Engine_result_type>::value | |
| 91 && is_integral<result_type>::value) | |
| 92 __return_value = _M_g.min(); | |
| 93 else | |
| 94 __return_value = result_type(0); | |
| 95 return __return_value; | |
| 96 } | |
| 97 | |
| 98 result_type | |
| 99 max() const | |
| 100 { | |
| 101 result_type __return_value; | |
| 102 if (is_integral<_Engine_result_type>::value | |
| 103 && is_integral<result_type>::value) | |
| 104 __return_value = _M_g.max(); | |
| 105 else if (!is_integral<result_type>::value) | |
| 106 __return_value = result_type(1); | |
| 107 else | |
| 108 __return_value = std::numeric_limits<result_type>::max() - 1; | |
| 109 return __return_value; | |
| 110 } | |
| 111 | |
| 112 /* | |
| 113 * Converts a value generated by the adapted random number generator | |
| 114 * into a value in the input domain for the dependent random number | |
| 115 * distribution. | |
| 116 * | |
| 117 * Because the type traits are compile time constants only the | |
| 118 * appropriate clause of the if statements will actually be emitted | |
| 119 * by the compiler. | |
| 120 */ | |
| 121 result_type | |
| 122 operator()() | |
| 123 { | |
| 124 result_type __return_value; | |
| 125 if (is_integral<_Engine_result_type>::value | |
| 126 && is_integral<result_type>::value) | |
| 127 __return_value = _M_g(); | |
| 128 else if (!is_integral<_Engine_result_type>::value | |
| 129 && !is_integral<result_type>::value) | |
| 130 __return_value = result_type(_M_g() - _M_g.min()) | |
| 131 / result_type(_M_g.max() - _M_g.min()); | |
| 132 else if (is_integral<_Engine_result_type>::value | |
| 133 && !is_integral<result_type>::value) | |
| 134 __return_value = result_type(_M_g() - _M_g.min()) | |
| 135 / result_type(_M_g.max() - _M_g.min() + result_type(1)); | |
| 136 else | |
| 137 __return_value = (((_M_g() - _M_g.min()) | |
| 138 / (_M_g.max() - _M_g.min())) | |
| 139 * std::numeric_limits<result_type>::max()); | |
| 140 return __return_value; | |
| 141 } | |
| 142 | |
| 143 private: | |
| 144 _Engine _M_g; | |
| 145 }; | |
| 146 | |
| 147 // Specialization for _Engine*. | |
| 148 template<typename _Engine, typename _Distribution> | |
| 149 struct _Adaptor<_Engine*, _Distribution> | |
| 150 { | |
| 151 typedef typename _Engine::result_type _Engine_result_type; | |
| 152 typedef typename _Distribution::input_type result_type; | |
| 153 | |
| 154 public: | |
| 155 _Adaptor(_Engine* __g) | |
| 156 : _M_g(__g) { } | |
| 157 | |
| 158 result_type | |
| 159 min() const | |
| 160 { | |
| 161 result_type __return_value; | |
| 162 if (is_integral<_Engine_result_type>::value | |
| 163 && is_integral<result_type>::value) | |
| 164 __return_value = _M_g->min(); | |
| 165 else | |
| 166 __return_value = result_type(0); | |
| 167 return __return_value; | |
| 168 } | |
| 169 | |
| 170 result_type | |
| 171 max() const | |
| 172 { | |
| 173 result_type __return_value; | |
| 174 if (is_integral<_Engine_result_type>::value | |
| 175 && is_integral<result_type>::value) | |
| 176 __return_value = _M_g->max(); | |
| 177 else if (!is_integral<result_type>::value) | |
| 178 __return_value = result_type(1); | |
| 179 else | |
| 180 __return_value = std::numeric_limits<result_type>::max() - 1; | |
| 181 return __return_value; | |
| 182 } | |
| 183 | |
| 184 result_type | |
| 185 operator()() | |
| 186 { | |
| 187 result_type __return_value; | |
| 188 if (is_integral<_Engine_result_type>::value | |
| 189 && is_integral<result_type>::value) | |
| 190 __return_value = (*_M_g)(); | |
| 191 else if (!is_integral<_Engine_result_type>::value | |
| 192 && !is_integral<result_type>::value) | |
| 193 __return_value = result_type((*_M_g)() - _M_g->min()) | |
| 194 / result_type(_M_g->max() - _M_g->min()); | |
| 195 else if (is_integral<_Engine_result_type>::value | |
| 196 && !is_integral<result_type>::value) | |
| 197 __return_value = result_type((*_M_g)() - _M_g->min()) | |
| 198 / result_type(_M_g->max() - _M_g->min() + result_type(1)); | |
| 199 else | |
| 200 __return_value = ((((*_M_g)() - _M_g->min()) | |
| 201 / (_M_g->max() - _M_g->min())) | |
| 202 * std::numeric_limits<result_type>::max()); | |
| 203 return __return_value; | |
| 204 } | |
| 205 | |
| 206 private: | |
| 207 _Engine* _M_g; | |
| 208 }; | |
| 209 } // namespace __detail | |
| 210 | |
| 211 /** | |
| 212 * Produces random numbers on a given distribution function using a | |
| 213 * non-uniform random number generation engine. | |
| 214 * | |
| 215 * @todo the engine_value_type needs to be studied more carefully. | |
| 216 */ | |
| 217 template<typename _Engine, typename _Dist> | |
| 218 class variate_generator | |
| 219 { | |
| 220 // Concept requirements. | |
| 221 __glibcxx_class_requires(_Engine, _CopyConstructibleConcept) | |
| 222 // __glibcxx_class_requires(_Engine, _EngineConcept) | |
| 223 // __glibcxx_class_requires(_Dist, _EngineConcept) | |
| 224 | |
| 225 public: | |
| 226 typedef _Engine engine_type; | |
| 227 typedef __detail::_Adaptor<_Engine, _Dist> engine_value_type; | |
| 228 typedef _Dist distribution_type; | |
| 229 typedef typename _Dist::result_type result_type; | |
| 230 | |
| 231 // tr1:5.1.1 table 5.1 requirement | |
| 232 typedef typename __gnu_cxx::__enable_if< | |
| 233 is_arithmetic<result_type>::value, result_type>::__type _IsValidType; | |
| 234 | |
| 235 /** | |
| 236 * Constructs a variate generator with the uniform random number | |
| 237 * generator @p __eng for the random distribution @p __dist. | |
| 238 * | |
| 239 * @throws Any exceptions which may thrown by the copy constructors of | |
| 240 * the @p _Engine or @p _Dist objects. | |
| 241 */ | |
| 242 variate_generator(engine_type __eng, distribution_type __dist) | |
| 243 : _M_engine(__eng), _M_dist(__dist) { } | |
| 244 | |
| 245 /** | |
| 246 * Gets the next generated value on the distribution. | |
| 247 */ | |
| 248 result_type | |
| 249 operator()() | |
| 250 { return _M_dist(_M_engine); } | |
| 251 | |
| 252 /** | |
| 253 * WTF? | |
| 254 */ | |
| 255 template<typename _Tp> | |
| 256 result_type | |
| 257 operator()(_Tp __value) | |
| 258 { return _M_dist(_M_engine, __value); } | |
| 259 | |
| 260 /** | |
| 261 * Gets a reference to the underlying uniform random number generator | |
| 262 * object. | |
| 263 */ | |
| 264 engine_value_type& | |
| 265 engine() | |
| 266 { return _M_engine; } | |
| 267 | |
| 268 /** | |
| 269 * Gets a const reference to the underlying uniform random number | |
| 270 * generator object. | |
| 271 */ | |
| 272 const engine_value_type& | |
| 273 engine() const | |
| 274 { return _M_engine; } | |
| 275 | |
| 276 /** | |
| 277 * Gets a reference to the underlying random distribution. | |
| 278 */ | |
| 279 distribution_type& | |
| 280 distribution() | |
| 281 { return _M_dist; } | |
| 282 | |
| 283 /** | |
| 284 * Gets a const reference to the underlying random distribution. | |
| 285 */ | |
| 286 const distribution_type& | |
| 287 distribution() const | |
| 288 { return _M_dist; } | |
| 289 | |
| 290 /** | |
| 291 * Gets the closed lower bound of the distribution interval. | |
| 292 */ | |
| 293 result_type | |
| 294 min() const | |
| 295 { return this->distribution().min(); } | |
| 296 | |
| 297 /** | |
| 298 * Gets the closed upper bound of the distribution interval. | |
| 299 */ | |
| 300 result_type | |
| 301 max() const | |
| 302 { return this->distribution().max(); } | |
| 303 | |
| 304 private: | |
| 305 engine_value_type _M_engine; | |
| 306 distribution_type _M_dist; | |
| 307 }; | |
| 308 | |
| 309 | |
| 310 /** | |
| 311 * @defgroup tr1_random_generators Random Number Generators | |
| 312 * @ingroup tr1_random | |
| 313 * | |
| 314 * These classes define objects which provide random or pseudorandom | |
| 315 * numbers, either from a discrete or a continuous interval. The | |
| 316 * random number generator supplied as a part of this library are | |
| 317 * all uniform random number generators which provide a sequence of | |
| 318 * random number uniformly distributed over their range. | |
| 319 * | |
| 320 * A number generator is a function object with an operator() that | |
| 321 * takes zero arguments and returns a number. | |
| 322 * | |
| 323 * A compliant random number generator must satisfy the following | |
| 324 * requirements. <table border=1 cellpadding=10 cellspacing=0> | |
| 325 * <caption align=top>Random Number Generator Requirements</caption> | |
| 326 * <tr><td>To be documented.</td></tr> </table> | |
| 327 * | |
| 328 * @{ | |
| 329 */ | |
| 330 | |
| 331 /** | |
| 332 * @brief A model of a linear congruential random number generator. | |
| 333 * | |
| 334 * A random number generator that produces pseudorandom numbers using the | |
| 335 * linear function @f$x_{i+1}\leftarrow(ax_{i} + c) \bmod m @f$. | |
| 336 * | |
| 337 * The template parameter @p _UIntType must be an unsigned integral type | |
| 338 * large enough to store values up to (__m-1). If the template parameter | |
| 339 * @p __m is 0, the modulus @p __m used is | |
| 340 * std::numeric_limits<_UIntType>::max() plus 1. Otherwise, the template | |
| 341 * parameters @p __a and @p __c must be less than @p __m. | |
| 342 * | |
| 343 * The size of the state is @f$ 1 @f$. | |
| 344 */ | |
| 345 template<class _UIntType, _UIntType __a, _UIntType __c, _UIntType __m> | |
| 346 class linear_congruential | |
| 347 { | |
| 348 __glibcxx_class_requires(_UIntType, _UnsignedIntegerConcept) | |
| 349 // __glibcpp_class_requires(__a < __m && __c < __m) | |
| 350 | |
| 351 public: | |
| 352 /** The type of the generated random value. */ | |
| 353 typedef _UIntType result_type; | |
| 354 | |
| 355 /** The multiplier. */ | |
| 356 static const _UIntType multiplier = __a; | |
| 357 /** An increment. */ | |
| 358 static const _UIntType increment = __c; | |
| 359 /** The modulus. */ | |
| 360 static const _UIntType modulus = __m; | |
| 361 | |
| 362 /** | |
| 363 * Constructs a %linear_congruential random number generator engine with | |
| 364 * seed @p __s. The default seed value is 1. | |
| 365 * | |
| 366 * @param __s The initial seed value. | |
| 367 */ | |
| 368 explicit | |
| 369 linear_congruential(unsigned long __x0 = 1) | |
| 370 { this->seed(__x0); } | |
| 371 | |
| 372 /** | |
| 373 * Constructs a %linear_congruential random number generator engine | |
| 374 * seeded from the generator function @p __g. | |
| 375 * | |
| 376 * @param __g The seed generator function. | |
| 377 */ | |
| 378 template<class _Gen> | |
| 379 linear_congruential(_Gen& __g) | |
| 380 { this->seed(__g); } | |
| 381 | |
| 382 /** | |
| 383 * Reseeds the %linear_congruential random number generator engine | |
| 384 * sequence to the seed @g __s. | |
| 385 * | |
| 386 * @param __s The new seed. | |
| 387 */ | |
| 388 void | |
| 389 seed(unsigned long __s = 1); | |
| 390 | |
| 391 /** | |
| 392 * Reseeds the %linear_congruential random number generator engine | |
| 393 * sequence using values from the generator function @p __g. | |
| 394 * | |
| 395 * @param __g the seed generator function. | |
| 396 */ | |
| 397 template<class _Gen> | |
| 398 void | |
| 399 seed(_Gen& __g) | |
| 400 { seed(__g, typename is_fundamental<_Gen>::type()); } | |
| 401 | |
| 402 /** | |
| 403 * Gets the smallest possible value in the output range. | |
| 404 * | |
| 405 * The minimum depends on the @p __c parameter: if it is zero, the | |
| 406 * minimum generated must be > 0, otherwise 0 is allowed. | |
| 407 */ | |
| 408 result_type | |
| 409 min() const | |
| 410 { return (__detail::__mod<_UIntType, 1, 0, __m>(__c) == 0) ? 1 : 0; } | |
| 411 | |
| 412 /** | |
| 413 * Gets the largest possible value in the output range. | |
| 414 */ | |
| 415 result_type | |
| 416 max() const | |
| 417 { return __m - 1; } | |
| 418 | |
| 419 /** | |
| 420 * Gets the next random number in the sequence. | |
| 421 */ | |
| 422 result_type | |
| 423 operator()(); | |
| 424 | |
| 425 /** | |
| 426 * Compares two linear congruential random number generator | |
| 427 * objects of the same type for equality. | |
| 428 * | |
| 429 * @param __lhs A linear congruential random number generator object. | |
| 430 * @param __rhs Another linear congruential random number generator obj. | |
| 431 * | |
| 432 * @returns true if the two objects are equal, false otherwise. | |
| 433 */ | |
| 434 friend bool | |
| 435 operator==(const linear_congruential& __lhs, | |
| 436 const linear_congruential& __rhs) | |
| 437 { return __lhs._M_x == __rhs._M_x; } | |
| 438 | |
| 439 /** | |
| 440 * Compares two linear congruential random number generator | |
| 441 * objects of the same type for inequality. | |
| 442 * | |
| 443 * @param __lhs A linear congruential random number generator object. | |
| 444 * @param __rhs Another linear congruential random number generator obj. | |
| 445 * | |
| 446 * @returns true if the two objects are not equal, false otherwise. | |
| 447 */ | |
| 448 friend bool | |
| 449 operator!=(const linear_congruential& __lhs, | |
| 450 const linear_congruential& __rhs) | |
| 451 { return !(__lhs == __rhs); } | |
| 452 | |
| 453 /** | |
| 454 * Writes the textual representation of the state x(i) of x to @p __os. | |
| 455 * | |
| 456 * @param __os The output stream. | |
| 457 * @param __lcr A % linear_congruential random number generator. | |
| 458 * @returns __os. | |
| 459 */ | |
| 460 template<class _UIntType1, _UIntType1 __a1, _UIntType1 __c1, | |
| 461 _UIntType1 __m1, | |
| 462 typename _CharT, typename _Traits> | |
| 463 friend std::basic_ostream<_CharT, _Traits>& | |
| 464 operator<<(std::basic_ostream<_CharT, _Traits>& __os, | |
| 465 const linear_congruential<_UIntType1, __a1, __c1, | |
| 466 __m1>& __lcr); | |
| 467 | |
| 468 /** | |
| 469 * Sets the state of the engine by reading its textual | |
| 470 * representation from @p __is. | |
| 471 * | |
| 472 * The textual representation must have been previously written using an | |
| 473 * output stream whose imbued locale and whose type's template | |
| 474 * specialization arguments _CharT and _Traits were the same as those of | |
| 475 * @p __is. | |
| 476 * | |
| 477 * @param __is The input stream. | |
| 478 * @param __lcr A % linear_congruential random number generator. | |
| 479 * @returns __is. | |
| 480 */ | |
| 481 template<class _UIntType1, _UIntType1 __a1, _UIntType1 __c1, | |
| 482 _UIntType1 __m1, | |
| 483 typename _CharT, typename _Traits> | |
| 484 friend std::basic_istream<_CharT, _Traits>& | |
| 485 operator>>(std::basic_istream<_CharT, _Traits>& __is, | |
| 486 linear_congruential<_UIntType1, __a1, __c1, __m1>& __lcr); | |
| 487 | |
| 488 private: | |
| 489 template<class _Gen> | |
| 490 void | |
| 491 seed(_Gen& __g, true_type) | |
| 492 { return seed(static_cast<unsigned long>(__g)); } | |
| 493 | |
| 494 template<class _Gen> | |
| 495 void | |
| 496 seed(_Gen& __g, false_type); | |
| 497 | |
| 498 _UIntType _M_x; | |
| 499 }; | |
| 500 | |
| 501 /** | |
| 502 * The classic Minimum Standard rand0 of Lewis, Goodman, and Miller. | |
| 503 */ | |
| 504 typedef linear_congruential<unsigned long, 16807, 0, 2147483647> minstd_rand0; | |
| 505 | |
| 506 /** | |
| 507 * An alternative LCR (Lehmer Generator function) . | |
| 508 */ | |
| 509 typedef linear_congruential<unsigned long, 48271, 0, 2147483647> minstd_rand; | |
| 510 | |
| 511 | |
| 512 /** | |
| 513 * A generalized feedback shift register discrete random number generator. | |
| 514 * | |
| 515 * This algorithm avoids multiplication and division and is designed to be | |
| 516 * friendly to a pipelined architecture. If the parameters are chosen | |
| 517 * correctly, this generator will produce numbers with a very long period and | |
| 518 * fairly good apparent entropy, although still not cryptographically strong. | |
| 519 * | |
| 520 * The best way to use this generator is with the predefined mt19937 class. | |
| 521 * | |
| 522 * This algorithm was originally invented by Makoto Matsumoto and | |
| 523 * Takuji Nishimura. | |
| 524 * | |
| 525 * @var word_size The number of bits in each element of the state vector. | |
| 526 * @var state_size The degree of recursion. | |
| 527 * @var shift_size The period parameter. | |
| 528 * @var mask_bits The separation point bit index. | |
| 529 * @var parameter_a The last row of the twist matrix. | |
| 530 * @var output_u The first right-shift tempering matrix parameter. | |
| 531 * @var output_s The first left-shift tempering matrix parameter. | |
| 532 * @var output_b The first left-shift tempering matrix mask. | |
| 533 * @var output_t The second left-shift tempering matrix parameter. | |
| 534 * @var output_c The second left-shift tempering matrix mask. | |
| 535 * @var output_l The second right-shift tempering matrix parameter. | |
| 536 */ | |
| 537 template<class _UIntType, int __w, int __n, int __m, int __r, | |
| 538 _UIntType __a, int __u, int __s, _UIntType __b, int __t, | |
| 539 _UIntType __c, int __l> | |
| 540 class mersenne_twister | |
| 541 { | |
| 542 __glibcxx_class_requires(_UIntType, _UnsignedIntegerConcept) | |
| 543 | |
| 544 public: | |
| 545 // types | |
| 546 typedef _UIntType result_type; | |
| 547 | |
| 548 // parameter values | |
| 549 static const int word_size = __w; | |
| 550 static const int state_size = __n; | |
| 551 static const int shift_size = __m; | |
| 552 static const int mask_bits = __r; | |
| 553 static const _UIntType parameter_a = __a; | |
| 554 static const int output_u = __u; | |
| 555 static const int output_s = __s; | |
| 556 static const _UIntType output_b = __b; | |
| 557 static const int output_t = __t; | |
| 558 static const _UIntType output_c = __c; | |
| 559 static const int output_l = __l; | |
| 560 | |
| 561 // constructors and member function | |
| 562 mersenne_twister() | |
| 563 { seed(); } | |
| 564 | |
| 565 explicit | |
| 566 mersenne_twister(unsigned long __value) | |
| 567 { seed(__value); } | |
| 568 | |
| 569 template<class _Gen> | |
| 570 mersenne_twister(_Gen& __g) | |
| 571 { seed(__g); } | |
| 572 | |
| 573 void | |
| 574 seed() | |
| 575 { seed(5489UL); } | |
| 576 | |
| 577 void | |
| 578 seed(unsigned long __value); | |
| 579 | |
| 580 template<class _Gen> | |
| 581 void | |
| 582 seed(_Gen& __g) | |
| 583 { seed(__g, typename is_fundamental<_Gen>::type()); } | |
| 584 | |
| 585 result_type | |
| 586 min() const | |
| 587 { return 0; }; | |
| 588 | |
| 589 result_type | |
| 590 max() const | |
| 591 { return __detail::_Shift<_UIntType, __w>::__value - 1; } | |
| 592 | |
| 593 result_type | |
| 594 operator()(); | |
| 595 | |
| 596 /** | |
| 597 * Compares two % mersenne_twister random number generator objects of | |
| 598 * the same type for equality. | |
| 599 * | |
| 600 * @param __lhs A % mersenne_twister random number generator object. | |
| 601 * @param __rhs Another % mersenne_twister random number generator | |
| 602 * object. | |
| 603 * | |
| 604 * @returns true if the two objects are equal, false otherwise. | |
| 605 */ | |
| 606 friend bool | |
| 607 operator==(const mersenne_twister& __lhs, | |
| 608 const mersenne_twister& __rhs) | |
| 609 { return std::equal(__lhs._M_x, __lhs._M_x + state_size, __rhs._M_x); } | |
| 610 | |
| 611 /** | |
| 612 * Compares two % mersenne_twister random number generator objects of | |
| 613 * the same type for inequality. | |
| 614 * | |
| 615 * @param __lhs A % mersenne_twister random number generator object. | |
| 616 * @param __rhs Another % mersenne_twister random number generator | |
| 617 * object. | |
| 618 * | |
| 619 * @returns true if the two objects are not equal, false otherwise. | |
| 620 */ | |
| 621 friend bool | |
| 622 operator!=(const mersenne_twister& __lhs, | |
| 623 const mersenne_twister& __rhs) | |
| 624 { return !(__lhs == __rhs); } | |
| 625 | |
| 626 /** | |
| 627 * Inserts the current state of a % mersenne_twister random number | |
| 628 * generator engine @p __x into the output stream @p __os. | |
| 629 * | |
| 630 * @param __os An output stream. | |
| 631 * @param __x A % mersenne_twister random number generator engine. | |
| 632 * | |
| 633 * @returns The output stream with the state of @p __x inserted or in | |
| 634 * an error state. | |
| 635 */ | |
| 636 template<class _UIntType1, int __w1, int __n1, int __m1, int __r1, | |
| 637 _UIntType1 __a1, int __u1, int __s1, _UIntType1 __b1, int __t1, | |
| 638 _UIntType1 __c1, int __l1, | |
| 639 typename _CharT, typename _Traits> | |
| 640 friend std::basic_ostream<_CharT, _Traits>& | |
| 641 operator<<(std::basic_ostream<_CharT, _Traits>& __os, | |
| 642 const mersenne_twister<_UIntType1, __w1, __n1, __m1, __r1, | |
| 643 __a1, __u1, __s1, __b1, __t1, __c1, __l1>& __x); | |
| 644 | |
| 645 /** | |
| 646 * Extracts the current state of a % mersenne_twister random number | |
| 647 * generator engine @p __x from the input stream @p __is. | |
| 648 * | |
| 649 * @param __is An input stream. | |
| 650 * @param __x A % mersenne_twister random number generator engine. | |
| 651 * | |
| 652 * @returns The input stream with the state of @p __x extracted or in | |
| 653 * an error state. | |
| 654 */ | |
| 655 template<class _UIntType1, int __w1, int __n1, int __m1, int __r1, | |
| 656 _UIntType1 __a1, int __u1, int __s1, _UIntType1 __b1, int __t1, | |
| 657 _UIntType1 __c1, int __l1, | |
| 658 typename _CharT, typename _Traits> | |
| 659 friend std::basic_istream<_CharT, _Traits>& | |
| 660 operator>>(std::basic_istream<_CharT, _Traits>& __is, | |
| 661 mersenne_twister<_UIntType1, __w1, __n1, __m1, __r1, | |
| 662 __a1, __u1, __s1, __b1, __t1, __c1, __l1>& __x); | |
| 663 | |
| 664 private: | |
| 665 template<class _Gen> | |
| 666 void | |
| 667 seed(_Gen& __g, true_type) | |
| 668 { return seed(static_cast<unsigned long>(__g)); } | |
| 669 | |
| 670 template<class _Gen> | |
| 671 void | |
| 672 seed(_Gen& __g, false_type); | |
| 673 | |
| 674 _UIntType _M_x[state_size]; | |
| 675 int _M_p; | |
| 676 }; | |
| 677 | |
| 678 /** | |
| 679 * The classic Mersenne Twister. | |
| 680 * | |
| 681 * Reference: | |
| 682 * M. Matsumoto and T. Nishimura, "Mersenne Twister: A 623-Dimensionally | |
| 683 * Equidistributed Uniform Pseudo-Random Number Generator", ACM Transactions | |
| 684 * on Modeling and Computer Simulation, Vol. 8, No. 1, January 1998, pp 3-30. | |
| 685 */ | |
| 686 typedef mersenne_twister< | |
| 687 unsigned long, 32, 624, 397, 31, | |
| 688 0x9908b0dful, 11, 7, | |
| 689 0x9d2c5680ul, 15, | |
| 690 0xefc60000ul, 18 | |
| 691 > mt19937; | |
| 692 | |
| 693 | |
| 694 /** | |
| 695 * @brief The Marsaglia-Zaman generator. | |
| 696 * | |
| 697 * This is a model of a Generalized Fibonacci discrete random number | |
| 698 * generator, sometimes referred to as the SWC generator. | |
| 699 * | |
| 700 * A discrete random number generator that produces pseudorandom | |
| 701 * numbers using @f$x_{i}\leftarrow(x_{i - s} - x_{i - r} - | |
| 702 * carry_{i-1}) \bmod m @f$. | |
| 703 * | |
| 704 * The size of the state is @f$ r @f$ | |
| 705 * and the maximum period of the generator is @f$ m^r - m^s -1 @f$. | |
| 706 * | |
| 707 * N1688[4.13] says "the template parameter _IntType shall denote an integral | |
| 708 * type large enough to store values up to m." | |
| 709 * | |
| 710 * @var _M_x The state of the generator. This is a ring buffer. | |
| 711 * @var _M_carry The carry. | |
| 712 * @var _M_p Current index of x(i - r). | |
| 713 */ | |
| 714 template<typename _IntType, _IntType __m, int __s, int __r> | |
| 715 class subtract_with_carry | |
| 716 { | |
| 717 __glibcxx_class_requires(_IntType, _IntegerConcept) | |
| 718 | |
| 719 public: | |
| 720 /** The type of the generated random value. */ | |
| 721 typedef _IntType result_type; | |
| 722 | |
| 723 // parameter values | |
| 724 static const _IntType modulus = __m; | |
| 725 static const int long_lag = __r; | |
| 726 static const int short_lag = __s; | |
| 727 | |
| 728 /** | |
| 729 * Constructs a default-initialized % subtract_with_carry random number | |
| 730 * generator. | |
| 731 */ | |
| 732 subtract_with_carry() | |
| 733 { this->seed(); } | |
| 734 | |
| 735 /** | |
| 736 * Constructs an explicitly seeded % subtract_with_carry random number | |
| 737 * generator. | |
| 738 */ | |
| 739 explicit | |
| 740 subtract_with_carry(unsigned long __value) | |
| 741 { this->seed(__value); } | |
| 742 | |
| 743 /** | |
| 744 * Constructs a %subtract_with_carry random number generator engine | |
| 745 * seeded from the generator function @p __g. | |
| 746 * | |
| 747 * @param __g The seed generator function. | |
| 748 */ | |
| 749 template<class _Gen> | |
| 750 subtract_with_carry(_Gen& __g) | |
| 751 { this->seed(__g); } | |
| 752 | |
| 753 /** | |
| 754 * Seeds the initial state @f$ x_0 @f$ of the random number generator. | |
| 755 * | |
| 756 * N1688[4.19] modifies this as follows. If @p __value == 0, | |
| 757 * sets value to 19780503. In any case, with a linear | |
| 758 * congruential generator lcg(i) having parameters @f$ m_{lcg} = | |
| 759 * 2147483563, a_{lcg} = 40014, c_{lcg} = 0, and lcg(0) = value | |
| 760 * @f$, sets @f$ x_{-r} \dots x_{-1} @f$ to @f$ lcg(1) \bmod m | |
| 761 * \dots lcg(r) \bmod m @f$ respectively. If @f$ x_{-1} = 0 @f$ | |
| 762 * set carry to 1, otherwise sets carry to 0. | |
| 763 */ | |
| 764 void | |
| 765 seed(unsigned long __value = 19780503); | |
| 766 | |
| 767 /** | |
| 768 * Seeds the initial state @f$ x_0 @f$ of the % subtract_with_carry | |
| 769 * random number generator. | |
| 770 */ | |
| 771 template<class _Gen> | |
| 772 void | |
| 773 seed(_Gen& __g) | |
| 774 { seed(__g, typename is_fundamental<_Gen>::type()); } | |
| 775 | |
| 776 /** | |
| 777 * Gets the inclusive minimum value of the range of random integers | |
| 778 * returned by this generator. | |
| 779 */ | |
| 780 result_type | |
| 781 min() const | |
| 782 { return 0; } | |
| 783 | |
| 784 /** | |
| 785 * Gets the inclusive maximum value of the range of random integers | |
| 786 * returned by this generator. | |
| 787 */ | |
| 788 result_type | |
| 789 max() const | |
| 790 { return this->modulus - 1; } | |
| 791 | |
| 792 /** | |
| 793 * Gets the next random number in the sequence. | |
| 794 */ | |
| 795 result_type | |
| 796 operator()(); | |
| 797 | |
| 798 /** | |
| 799 * Compares two % subtract_with_carry random number generator objects of | |
| 800 * the same type for equality. | |
| 801 * | |
| 802 * @param __lhs A % subtract_with_carry random number generator object. | |
| 803 * @param __rhs Another % subtract_with_carry random number generator | |
| 804 * object. | |
| 805 * | |
| 806 * @returns true if the two objects are equal, false otherwise. | |
| 807 */ | |
| 808 friend bool | |
| 809 operator==(const subtract_with_carry& __lhs, | |
| 810 const subtract_with_carry& __rhs) | |
| 811 { return std::equal(__lhs._M_x, __lhs._M_x + long_lag, __rhs._M_x); } | |
| 812 | |
| 813 /** | |
| 814 * Compares two % subtract_with_carry random number generator objects of | |
| 815 * the same type for inequality. | |
| 816 * | |
| 817 * @param __lhs A % subtract_with_carry random number generator object. | |
| 818 * @param __rhs Another % subtract_with_carry random number generator | |
| 819 * object. | |
| 820 * | |
| 821 * @returns true if the two objects are not equal, false otherwise. | |
| 822 */ | |
| 823 friend bool | |
| 824 operator!=(const subtract_with_carry& __lhs, | |
| 825 const subtract_with_carry& __rhs) | |
| 826 { return !(__lhs == __rhs); } | |
| 827 | |
| 828 /** | |
| 829 * Inserts the current state of a % subtract_with_carry random number | |
| 830 * generator engine @p __x into the output stream @p __os. | |
| 831 * | |
| 832 * @param __os An output stream. | |
| 833 * @param __x A % subtract_with_carry random number generator engine. | |
| 834 * | |
| 835 * @returns The output stream with the state of @p __x inserted or in | |
| 836 * an error state. | |
| 837 */ | |
| 838 template<typename _IntType1, _IntType1 __m1, int __s1, int __r1, | |
| 839 typename _CharT, typename _Traits> | |
| 840 friend std::basic_ostream<_CharT, _Traits>& | |
| 841 operator<<(std::basic_ostream<_CharT, _Traits>& __os, | |
| 842 const subtract_with_carry<_IntType1, __m1, __s1, | |
| 843 __r1>& __x); | |
| 844 | |
| 845 /** | |
| 846 * Extracts the current state of a % subtract_with_carry random number | |
| 847 * generator engine @p __x from the input stream @p __is. | |
| 848 * | |
| 849 * @param __is An input stream. | |
| 850 * @param __x A % subtract_with_carry random number generator engine. | |
| 851 * | |
| 852 * @returns The input stream with the state of @p __x extracted or in | |
| 853 * an error state. | |
| 854 */ | |
| 855 template<typename _IntType1, _IntType1 __m1, int __s1, int __r1, | |
| 856 typename _CharT, typename _Traits> | |
| 857 friend std::basic_istream<_CharT, _Traits>& | |
| 858 operator>>(std::basic_istream<_CharT, _Traits>& __is, | |
| 859 subtract_with_carry<_IntType1, __m1, __s1, __r1>& __x); | |
| 860 | |
| 861 private: | |
| 862 template<class _Gen> | |
| 863 void | |
| 864 seed(_Gen& __g, true_type) | |
| 865 { return seed(static_cast<unsigned long>(__g)); } | |
| 866 | |
| 867 template<class _Gen> | |
| 868 void | |
| 869 seed(_Gen& __g, false_type); | |
| 870 | |
| 871 typedef typename __gnu_cxx::__add_unsigned<_IntType>::__type _UIntType; | |
| 872 | |
| 873 _UIntType _M_x[long_lag]; | |
| 874 _UIntType _M_carry; | |
| 875 int _M_p; | |
| 876 }; | |
| 877 | |
| 878 | |
| 879 /** | |
| 880 * @brief The Marsaglia-Zaman generator (floats version). | |
| 881 * | |
| 882 * @var _M_x The state of the generator. This is a ring buffer. | |
| 883 * @var _M_carry The carry. | |
| 884 * @var _M_p Current index of x(i - r). | |
| 885 * @var _M_npows Precomputed negative powers of 2. | |
| 886 */ | |
| 887 template<typename _RealType, int __w, int __s, int __r> | |
| 888 class subtract_with_carry_01 | |
| 889 { | |
| 890 public: | |
| 891 /** The type of the generated random value. */ | |
| 892 typedef _RealType result_type; | |
| 893 | |
| 894 // parameter values | |
| 895 static const int word_size = __w; | |
| 896 static const int long_lag = __r; | |
| 897 static const int short_lag = __s; | |
| 898 | |
| 899 /** | |
| 900 * Constructs a default-initialized % subtract_with_carry_01 random | |
| 901 * number generator. | |
| 902 */ | |
| 903 subtract_with_carry_01() | |
| 904 { | |
| 905 this->seed(); | |
| 906 _M_initialize_npows(); | |
| 907 } | |
| 908 | |
| 909 /** | |
| 910 * Constructs an explicitly seeded % subtract_with_carry_01 random number | |
| 911 * generator. | |
| 912 */ | |
| 913 explicit | |
| 914 subtract_with_carry_01(unsigned long __value) | |
| 915 { | |
| 916 this->seed(__value); | |
| 917 _M_initialize_npows(); | |
| 918 } | |
| 919 | |
| 920 /** | |
| 921 * Constructs a % subtract_with_carry_01 random number generator engine | |
| 922 * seeded from the generator function @p __g. | |
| 923 * | |
| 924 * @param __g The seed generator function. | |
| 925 */ | |
| 926 template<class _Gen> | |
| 927 subtract_with_carry_01(_Gen& __g) | |
| 928 { | |
| 929 this->seed(__g); | |
| 930 _M_initialize_npows(); | |
| 931 } | |
| 932 | |
| 933 /** | |
| 934 * Seeds the initial state @f$ x_0 @f$ of the random number generator. | |
| 935 */ | |
| 936 void | |
| 937 seed(unsigned long __value = 19780503); | |
| 938 | |
| 939 /** | |
| 940 * Seeds the initial state @f$ x_0 @f$ of the % subtract_with_carry_01 | |
| 941 * random number generator. | |
| 942 */ | |
| 943 template<class _Gen> | |
| 944 void | |
| 945 seed(_Gen& __g) | |
| 946 { seed(__g, typename is_fundamental<_Gen>::type()); } | |
| 947 | |
| 948 /** | |
| 949 * Gets the minimum value of the range of random floats | |
| 950 * returned by this generator. | |
| 951 */ | |
| 952 result_type | |
| 953 min() const | |
| 954 { return 0.0; } | |
| 955 | |
| 956 /** | |
| 957 * Gets the maximum value of the range of random floats | |
| 958 * returned by this generator. | |
| 959 */ | |
| 960 result_type | |
| 961 max() const | |
| 962 { return 1.0; } | |
| 963 | |
| 964 /** | |
| 965 * Gets the next random number in the sequence. | |
| 966 */ | |
| 967 result_type | |
| 968 operator()(); | |
| 969 | |
| 970 /** | |
| 971 * Compares two % subtract_with_carry_01 random number generator objects | |
| 972 * of the same type for equality. | |
| 973 * | |
| 974 * @param __lhs A % subtract_with_carry_01 random number | |
| 975 * generator object. | |
| 976 * @param __rhs Another % subtract_with_carry_01 random number generator | |
| 977 * object. | |
| 978 * | |
| 979 * @returns true if the two objects are equal, false otherwise. | |
| 980 */ | |
| 981 friend bool | |
| 982 operator==(const subtract_with_carry_01& __lhs, | |
| 983 const subtract_with_carry_01& __rhs) | |
| 984 { | |
| 985 for (int __i = 0; __i < long_lag; ++__i) | |
| 986 if (!std::equal(__lhs._M_x[__i], __lhs._M_x[__i] + __n, | |
| 987 __rhs._M_x[__i])) | |
| 988 return false; | |
| 989 return true; | |
| 990 } | |
| 991 | |
| 992 /** | |
| 993 * Compares two % subtract_with_carry_01 random number generator objects | |
| 994 * of the same type for inequality. | |
| 995 * | |
| 996 * @param __lhs A % subtract_with_carry_01 random number | |
| 997 * generator object. | |
| 998 * | |
| 999 * @param __rhs Another % subtract_with_carry_01 random number generator | |
| 1000 * object. | |
| 1001 * | |
| 1002 * @returns true if the two objects are not equal, false otherwise. | |
| 1003 */ | |
| 1004 friend bool | |
| 1005 operator!=(const subtract_with_carry_01& __lhs, | |
| 1006 const subtract_with_carry_01& __rhs) | |
| 1007 { return !(__lhs == __rhs); } | |
| 1008 | |
| 1009 /** | |
| 1010 * Inserts the current state of a % subtract_with_carry_01 random number | |
| 1011 * generator engine @p __x into the output stream @p __os. | |
| 1012 * | |
| 1013 * @param __os An output stream. | |
| 1014 * @param __x A % subtract_with_carry_01 random number generator engine. | |
| 1015 * | |
| 1016 * @returns The output stream with the state of @p __x inserted or in | |
| 1017 * an error state. | |
| 1018 */ | |
| 1019 template<typename _RealType1, int __w1, int __s1, int __r1, | |
| 1020 typename _CharT, typename _Traits> | |
| 1021 friend std::basic_ostream<_CharT, _Traits>& | |
| 1022 operator<<(std::basic_ostream<_CharT, _Traits>& __os, | |
| 1023 const subtract_with_carry_01<_RealType1, __w1, __s1, | |
| 1024 __r1>& __x); | |
| 1025 | |
| 1026 /** | |
| 1027 * Extracts the current state of a % subtract_with_carry_01 random number | |
| 1028 * generator engine @p __x from the input stream @p __is. | |
| 1029 * | |
| 1030 * @param __is An input stream. | |
| 1031 * @param __x A % subtract_with_carry_01 random number generator engine. | |
| 1032 * | |
| 1033 * @returns The input stream with the state of @p __x extracted or in | |
| 1034 * an error state. | |
| 1035 */ | |
| 1036 template<typename _RealType1, int __w1, int __s1, int __r1, | |
| 1037 typename _CharT, typename _Traits> | |
| 1038 friend std::basic_istream<_CharT, _Traits>& | |
| 1039 operator>>(std::basic_istream<_CharT, _Traits>& __is, | |
| 1040 subtract_with_carry_01<_RealType1, __w1, __s1, __r1>& __x); | |
| 1041 | |
| 1042 private: | |
| 1043 template<class _Gen> | |
| 1044 void | |
| 1045 seed(_Gen& __g, true_type) | |
| 1046 { return seed(static_cast<unsigned long>(__g)); } | |
| 1047 | |
| 1048 template<class _Gen> | |
| 1049 void | |
| 1050 seed(_Gen& __g, false_type); | |
| 1051 | |
| 1052 void | |
| 1053 _M_initialize_npows(); | |
| 1054 | |
| 1055 static const int __n = (__w + 31) / 32; | |
| 1056 | |
| 1057 typedef __detail::_UInt32Type _UInt32Type; | |
| 1058 _UInt32Type _M_x[long_lag][__n]; | |
| 1059 _RealType _M_npows[__n]; | |
| 1060 _UInt32Type _M_carry; | |
| 1061 int _M_p; | |
| 1062 }; | |
| 1063 | |
| 1064 typedef subtract_with_carry_01<float, 24, 10, 24> ranlux_base_01; | |
| 1065 | |
| 1066 // _GLIBCXX_RESOLVE_LIB_DEFECTS | |
| 1067 // 508. Bad parameters for ranlux64_base_01. | |
| 1068 typedef subtract_with_carry_01<double, 48, 5, 12> ranlux64_base_01; | |
| 1069 | |
| 1070 | |
| 1071 /** | |
| 1072 * Produces random numbers from some base engine by discarding blocks of | |
| 1073 * data. | |
| 1074 * | |
| 1075 * 0 <= @p __r <= @p __p | |
| 1076 */ | |
| 1077 template<class _UniformRandomNumberGenerator, int __p, int __r> | |
| 1078 class discard_block | |
| 1079 { | |
| 1080 // __glibcxx_class_requires(typename base_type::result_type, | |
| 1081 // ArithmeticTypeConcept) | |
| 1082 | |
| 1083 public: | |
| 1084 /** The type of the underlying generator engine. */ | |
| 1085 typedef _UniformRandomNumberGenerator base_type; | |
| 1086 /** The type of the generated random value. */ | |
| 1087 typedef typename base_type::result_type result_type; | |
| 1088 | |
| 1089 // parameter values | |
| 1090 static const int block_size = __p; | |
| 1091 static const int used_block = __r; | |
| 1092 | |
| 1093 /** | |
| 1094 * Constructs a default %discard_block engine. | |
| 1095 * | |
| 1096 * The underlying engine is default constructed as well. | |
| 1097 */ | |
| 1098 discard_block() | |
| 1099 : _M_n(0) { } | |
| 1100 | |
| 1101 /** | |
| 1102 * Copy constructs a %discard_block engine. | |
| 1103 * | |
| 1104 * Copies an existing base class random number generator. | |
| 1105 * @param rng An existing (base class) engine object. | |
| 1106 */ | |
| 1107 explicit | |
| 1108 discard_block(const base_type& __rng) | |
| 1109 : _M_b(__rng), _M_n(0) { } | |
| 1110 | |
| 1111 /** | |
| 1112 * Seed constructs a %discard_block engine. | |
| 1113 * | |
| 1114 * Constructs the underlying generator engine seeded with @p __s. | |
| 1115 * @param __s A seed value for the base class engine. | |
| 1116 */ | |
| 1117 explicit | |
| 1118 discard_block(unsigned long __s) | |
| 1119 : _M_b(__s), _M_n(0) { } | |
| 1120 | |
| 1121 /** | |
| 1122 * Generator construct a %discard_block engine. | |
| 1123 * | |
| 1124 * @param __g A seed generator function. | |
| 1125 */ | |
| 1126 template<class _Gen> | |
| 1127 discard_block(_Gen& __g) | |
| 1128 : _M_b(__g), _M_n(0) { } | |
| 1129 | |
| 1130 /** | |
| 1131 * Reseeds the %discard_block object with the default seed for the | |
| 1132 * underlying base class generator engine. | |
| 1133 */ | |
| 1134 void seed() | |
| 1135 { | |
| 1136 _M_b.seed(); | |
| 1137 _M_n = 0; | |
| 1138 } | |
| 1139 | |
| 1140 /** | |
| 1141 * Reseeds the %discard_block object with the given seed generator | |
| 1142 * function. | |
| 1143 * @param __g A seed generator function. | |
| 1144 */ | |
| 1145 template<class _Gen> | |
| 1146 void seed(_Gen& __g) | |
| 1147 { | |
| 1148 _M_b.seed(__g); | |
| 1149 _M_n = 0; | |
| 1150 } | |
| 1151 | |
| 1152 /** | |
| 1153 * Gets a const reference to the underlying generator engine object. | |
| 1154 */ | |
| 1155 const base_type& | |
| 1156 base() const | |
| 1157 { return _M_b; } | |
| 1158 | |
| 1159 /** | |
| 1160 * Gets the minimum value in the generated random number range. | |
| 1161 */ | |
| 1162 result_type | |
| 1163 min() const | |
| 1164 { return _M_b.min(); } | |
| 1165 | |
| 1166 /** | |
| 1167 * Gets the maximum value in the generated random number range. | |
| 1168 */ | |
| 1169 result_type | |
| 1170 max() const | |
| 1171 { return _M_b.max(); } | |
| 1172 | |
| 1173 /** | |
| 1174 * Gets the next value in the generated random number sequence. | |
| 1175 */ | |
| 1176 result_type | |
| 1177 operator()(); | |
| 1178 | |
| 1179 /** | |
| 1180 * Compares two %discard_block random number generator objects of | |
| 1181 * the same type for equality. | |
| 1182 * | |
| 1183 * @param __lhs A %discard_block random number generator object. | |
| 1184 * @param __rhs Another %discard_block random number generator | |
| 1185 * object. | |
| 1186 * | |
| 1187 * @returns true if the two objects are equal, false otherwise. | |
| 1188 */ | |
| 1189 friend bool | |
| 1190 operator==(const discard_block& __lhs, const discard_block& __rhs) | |
| 1191 { return (__lhs._M_b == __rhs._M_b) && (__lhs._M_n == __rhs._M_n); } | |
| 1192 | |
| 1193 /** | |
| 1194 * Compares two %discard_block random number generator objects of | |
| 1195 * the same type for inequality. | |
| 1196 * | |
| 1197 * @param __lhs A %discard_block random number generator object. | |
| 1198 * @param __rhs Another %discard_block random number generator | |
| 1199 * object. | |
| 1200 * | |
| 1201 * @returns true if the two objects are not equal, false otherwise. | |
| 1202 */ | |
| 1203 friend bool | |
| 1204 operator!=(const discard_block& __lhs, const discard_block& __rhs) | |
| 1205 { return !(__lhs == __rhs); } | |
| 1206 | |
| 1207 /** | |
| 1208 * Inserts the current state of a %discard_block random number | |
| 1209 * generator engine @p __x into the output stream @p __os. | |
| 1210 * | |
| 1211 * @param __os An output stream. | |
| 1212 * @param __x A %discard_block random number generator engine. | |
| 1213 * | |
| 1214 * @returns The output stream with the state of @p __x inserted or in | |
| 1215 * an error state. | |
| 1216 */ | |
| 1217 template<class _UniformRandomNumberGenerator1, int __p1, int __r1, | |
| 1218 typename _CharT, typename _Traits> | |
| 1219 friend std::basic_ostream<_CharT, _Traits>& | |
| 1220 operator<<(std::basic_ostream<_CharT, _Traits>& __os, | |
| 1221 const discard_block<_UniformRandomNumberGenerator1, | |
| 1222 __p1, __r1>& __x); | |
| 1223 | |
| 1224 /** | |
| 1225 * Extracts the current state of a % subtract_with_carry random number | |
| 1226 * generator engine @p __x from the input stream @p __is. | |
| 1227 * | |
| 1228 * @param __is An input stream. | |
| 1229 * @param __x A %discard_block random number generator engine. | |
| 1230 * | |
| 1231 * @returns The input stream with the state of @p __x extracted or in | |
| 1232 * an error state. | |
| 1233 */ | |
| 1234 template<class _UniformRandomNumberGenerator1, int __p1, int __r1, | |
| 1235 typename _CharT, typename _Traits> | |
| 1236 friend std::basic_istream<_CharT, _Traits>& | |
| 1237 operator>>(std::basic_istream<_CharT, _Traits>& __is, | |
| 1238 discard_block<_UniformRandomNumberGenerator1, | |
| 1239 __p1, __r1>& __x); | |
| 1240 | |
| 1241 private: | |
| 1242 base_type _M_b; | |
| 1243 int _M_n; | |
| 1244 }; | |
| 1245 | |
| 1246 | |
| 1247 /** | |
| 1248 * James's luxury-level-3 integer adaptation of Luescher's generator. | |
| 1249 */ | |
| 1250 typedef discard_block< | |
| 1251 subtract_with_carry<unsigned long, (1UL << 24), 10, 24>, | |
| 1252 223, | |
| 1253 24 | |
| 1254 > ranlux3; | |
| 1255 | |
| 1256 /** | |
| 1257 * James's luxury-level-4 integer adaptation of Luescher's generator. | |
| 1258 */ | |
| 1259 typedef discard_block< | |
| 1260 subtract_with_carry<unsigned long, (1UL << 24), 10, 24>, | |
| 1261 389, | |
| 1262 24 | |
| 1263 > ranlux4; | |
| 1264 | |
| 1265 typedef discard_block< | |
| 1266 subtract_with_carry_01<float, 24, 10, 24>, | |
| 1267 223, | |
| 1268 24 | |
| 1269 > ranlux3_01; | |
| 1270 | |
| 1271 typedef discard_block< | |
| 1272 subtract_with_carry_01<float, 24, 10, 24>, | |
| 1273 389, | |
| 1274 24 | |
| 1275 > ranlux4_01; | |
| 1276 | |
| 1277 | |
| 1278 /** | |
| 1279 * A random number generator adaptor class that combines two random number | |
| 1280 * generator engines into a single output sequence. | |
| 1281 */ | |
| 1282 template<class _UniformRandomNumberGenerator1, int __s1, | |
| 1283 class _UniformRandomNumberGenerator2, int __s2> | |
| 1284 class xor_combine | |
| 1285 { | |
| 1286 // __glibcxx_class_requires(typename _UniformRandomNumberGenerator1:: | |
| 1287 // result_type, ArithmeticTypeConcept) | |
| 1288 // __glibcxx_class_requires(typename _UniformRandomNumberGenerator2:: | |
| 1289 // result_type, ArithmeticTypeConcept) | |
| 1290 | |
| 1291 public: | |
| 1292 /** The type of the first underlying generator engine. */ | |
| 1293 typedef _UniformRandomNumberGenerator1 base1_type; | |
| 1294 /** The type of the second underlying generator engine. */ | |
| 1295 typedef _UniformRandomNumberGenerator2 base2_type; | |
| 1296 | |
| 1297 private: | |
| 1298 typedef typename base1_type::result_type _Result_type1; | |
| 1299 typedef typename base2_type::result_type _Result_type2; | |
| 1300 | |
| 1301 public: | |
| 1302 /** The type of the generated random value. */ | |
| 1303 typedef typename __gnu_cxx::__conditional_type<(sizeof(_Result_type1) | |
| 1304 > sizeof(_Result_type2)), | |
| 1305 _Result_type1, _Result_type2>::__type result_type; | |
| 1306 | |
| 1307 // parameter values | |
| 1308 static const int shift1 = __s1; | |
| 1309 static const int shift2 = __s2; | |
| 1310 | |
| 1311 // constructors and member function | |
| 1312 xor_combine() | |
| 1313 : _M_b1(), _M_b2() | |
| 1314 { _M_initialize_max(); } | |
| 1315 | |
| 1316 xor_combine(const base1_type& __rng1, const base2_type& __rng2) | |
| 1317 : _M_b1(__rng1), _M_b2(__rng2) | |
| 1318 { _M_initialize_max(); } | |
| 1319 | |
| 1320 xor_combine(unsigned long __s) | |
| 1321 : _M_b1(__s), _M_b2(__s + 1) | |
| 1322 { _M_initialize_max(); } | |
| 1323 | |
| 1324 template<class _Gen> | |
| 1325 xor_combine(_Gen& __g) | |
| 1326 : _M_b1(__g), _M_b2(__g) | |
| 1327 { _M_initialize_max(); } | |
| 1328 | |
| 1329 void | |
| 1330 seed() | |
| 1331 { | |
| 1332 _M_b1.seed(); | |
| 1333 _M_b2.seed(); | |
| 1334 } | |
| 1335 | |
| 1336 template<class _Gen> | |
| 1337 void | |
| 1338 seed(_Gen& __g) | |
| 1339 { | |
| 1340 _M_b1.seed(__g); | |
| 1341 _M_b2.seed(__g); | |
| 1342 } | |
| 1343 | |
| 1344 const base1_type& | |
| 1345 base1() const | |
| 1346 { return _M_b1; } | |
| 1347 | |
| 1348 const base2_type& | |
| 1349 base2() const | |
| 1350 { return _M_b2; } | |
| 1351 | |
| 1352 result_type | |
| 1353 min() const | |
| 1354 { return 0; } | |
| 1355 | |
| 1356 result_type | |
| 1357 max() const | |
| 1358 { return _M_max; } | |
| 1359 | |
| 1360 /** | |
| 1361 * Gets the next random number in the sequence. | |
| 1362 */ | |
| 1363 // NB: Not exactly the TR1 formula, per N2079 instead. | |
| 1364 result_type | |
| 1365 operator()() | |
| 1366 { | |
| 1367 return ((result_type(_M_b1() - _M_b1.min()) << shift1) | |
| 1368 ^ (result_type(_M_b2() - _M_b2.min()) << shift2)); | |
| 1369 } | |
| 1370 | |
| 1371 /** | |
| 1372 * Compares two %xor_combine random number generator objects of | |
| 1373 * the same type for equality. | |
| 1374 * | |
| 1375 * @param __lhs A %xor_combine random number generator object. | |
| 1376 * @param __rhs Another %xor_combine random number generator | |
| 1377 * object. | |
| 1378 * | |
| 1379 * @returns true if the two objects are equal, false otherwise. | |
| 1380 */ | |
| 1381 friend bool | |
| 1382 operator==(const xor_combine& __lhs, const xor_combine& __rhs) | |
| 1383 { | |
| 1384 return (__lhs.base1() == __rhs.base1()) | |
| 1385 && (__lhs.base2() == __rhs.base2()); | |
| 1386 } | |
| 1387 | |
| 1388 /** | |
| 1389 * Compares two %xor_combine random number generator objects of | |
| 1390 * the same type for inequality. | |
| 1391 * | |
| 1392 * @param __lhs A %xor_combine random number generator object. | |
| 1393 * @param __rhs Another %xor_combine random number generator | |
| 1394 * object. | |
| 1395 * | |
| 1396 * @returns true if the two objects are not equal, false otherwise. | |
| 1397 */ | |
| 1398 friend bool | |
| 1399 operator!=(const xor_combine& __lhs, const xor_combine& __rhs) | |
| 1400 { return !(__lhs == __rhs); } | |
| 1401 | |
| 1402 /** | |
| 1403 * Inserts the current state of a %xor_combine random number | |
| 1404 * generator engine @p __x into the output stream @p __os. | |
| 1405 * | |
| 1406 * @param __os An output stream. | |
| 1407 * @param __x A %xor_combine random number generator engine. | |
| 1408 * | |
| 1409 * @returns The output stream with the state of @p __x inserted or in | |
| 1410 * an error state. | |
| 1411 */ | |
| 1412 template<class _UniformRandomNumberGenerator11, int __s11, | |
| 1413 class _UniformRandomNumberGenerator21, int __s21, | |
| 1414 typename _CharT, typename _Traits> | |
| 1415 friend std::basic_ostream<_CharT, _Traits>& | |
| 1416 operator<<(std::basic_ostream<_CharT, _Traits>& __os, | |
| 1417 const xor_combine<_UniformRandomNumberGenerator11, __s11, | |
| 1418 _UniformRandomNumberGenerator21, __s21>& __x); | |
| 1419 | |
| 1420 /** | |
| 1421 * Extracts the current state of a %xor_combine random number | |
| 1422 * generator engine @p __x from the input stream @p __is. | |
| 1423 * | |
| 1424 * @param __is An input stream. | |
| 1425 * @param __x A %xor_combine random number generator engine. | |
| 1426 * | |
| 1427 * @returns The input stream with the state of @p __x extracted or in | |
| 1428 * an error state. | |
| 1429 */ | |
| 1430 template<class _UniformRandomNumberGenerator11, int __s11, | |
| 1431 class _UniformRandomNumberGenerator21, int __s21, | |
| 1432 typename _CharT, typename _Traits> | |
| 1433 friend std::basic_istream<_CharT, _Traits>& | |
| 1434 operator>>(std::basic_istream<_CharT, _Traits>& __is, | |
| 1435 xor_combine<_UniformRandomNumberGenerator11, __s11, | |
| 1436 _UniformRandomNumberGenerator21, __s21>& __x); | |
| 1437 | |
| 1438 private: | |
| 1439 void | |
| 1440 _M_initialize_max(); | |
| 1441 | |
| 1442 result_type | |
| 1443 _M_initialize_max_aux(result_type, result_type, int); | |
| 1444 | |
| 1445 base1_type _M_b1; | |
| 1446 base2_type _M_b2; | |
| 1447 result_type _M_max; | |
| 1448 }; | |
| 1449 | |
| 1450 | |
| 1451 /** | |
| 1452 * A standard interface to a platform-specific non-deterministic | |
| 1453 * random number generator (if any are available). | |
| 1454 */ | |
| 1455 class random_device | |
| 1456 { | |
| 1457 public: | |
| 1458 // types | |
| 1459 typedef unsigned int result_type; | |
| 1460 | |
| 1461 // constructors, destructors and member functions | |
| 1462 | |
| 1463 #ifdef _GLIBCXX_USE_RANDOM_TR1 | |
| 1464 | |
| 1465 explicit | |
| 1466 random_device(const std::string& __token = "/dev/urandom") | |
| 1467 { | |
| 1468 if ((__token != "/dev/urandom" && __token != "/dev/random") | |
| 1469 || !(_M_file = std::fopen(__token.c_str(), "rb"))) | |
| 1470 std::__throw_runtime_error(__N("random_device::" | |
| 1471 "random_device(const std::string&)")); | |
| 1472 } | |
| 1473 | |
| 1474 ~random_device() | |
| 1475 { std::fclose(_M_file); } | |
| 1476 | |
| 1477 #else | |
| 1478 | |
| 1479 explicit | |
| 1480 random_device(const std::string& __token = "mt19937") | |
| 1481 : _M_mt(_M_strtoul(__token)) { } | |
| 1482 | |
| 1483 private: | |
| 1484 static unsigned long | |
| 1485 _M_strtoul(const std::string& __str) | |
| 1486 { | |
| 1487 unsigned long __ret = 5489UL; | |
| 1488 if (__str != "mt19937") | |
| 1489 { | |
| 1490 const char* __nptr = __str.c_str(); | |
| 1491 char* __endptr; | |
| 1492 __ret = std::strtoul(__nptr, &__endptr, 0); | |
| 1493 if (*__nptr == '\0' || *__endptr != '\0') | |
| 1494 std::__throw_runtime_error(__N("random_device::_M_strtoul" | |
| 1495 "(const std::string&)")); | |
| 1496 } | |
| 1497 return __ret; | |
| 1498 } | |
| 1499 | |
| 1500 public: | |
| 1501 | |
| 1502 #endif | |
| 1503 | |
| 1504 result_type | |
| 1505 min() const | |
| 1506 { return std::numeric_limits<result_type>::min(); } | |
| 1507 | |
| 1508 result_type | |
| 1509 max() const | |
| 1510 { return std::numeric_limits<result_type>::max(); } | |
| 1511 | |
| 1512 double | |
| 1513 entropy() const | |
| 1514 { return 0.0; } | |
| 1515 | |
| 1516 result_type | |
| 1517 operator()() | |
| 1518 { | |
| 1519 #ifdef _GLIBCXX_USE_RANDOM_TR1 | |
| 1520 result_type __ret; | |
| 1521 std::fread(reinterpret_cast<void*>(&__ret), sizeof(result_type), | |
| 1522 1, _M_file); | |
| 1523 return __ret; | |
| 1524 #else | |
| 1525 return _M_mt(); | |
| 1526 #endif | |
| 1527 } | |
| 1528 | |
| 1529 private: | |
| 1530 random_device(const random_device&); | |
| 1531 void operator=(const random_device&); | |
| 1532 | |
| 1533 #ifdef _GLIBCXX_USE_RANDOM_TR1 | |
| 1534 FILE* _M_file; | |
| 1535 #else | |
| 1536 mt19937 _M_mt; | |
| 1537 #endif | |
| 1538 }; | |
| 1539 | |
| 1540 /* @} */ // group tr1_random_generators | |
| 1541 | |
| 1542 /** | |
| 1543 * @defgroup tr1_random_distributions Random Number Distributions | |
| 1544 * @ingroup tr1_random | |
| 1545 * @{ | |
| 1546 */ | |
| 1547 | |
| 1548 /** | |
| 1549 * @defgroup tr1_random_distributions_discrete Discrete Distributions | |
| 1550 * @ingroup tr1_random_distributions | |
| 1551 * @{ | |
| 1552 */ | |
| 1553 | |
| 1554 /** | |
| 1555 * @brief Uniform discrete distribution for random numbers. | |
| 1556 * A discrete random distribution on the range @f$[min, max]@f$ with equal | |
| 1557 * probability throughout the range. | |
| 1558 */ | |
| 1559 template<typename _IntType = int> | |
| 1560 class uniform_int | |
| 1561 { | |
| 1562 __glibcxx_class_requires(_IntType, _IntegerConcept) | |
| 1563 | |
| 1564 public: | |
| 1565 /** The type of the parameters of the distribution. */ | |
| 1566 typedef _IntType input_type; | |
| 1567 /** The type of the range of the distribution. */ | |
| 1568 typedef _IntType result_type; | |
| 1569 | |
| 1570 public: | |
| 1571 /** | |
| 1572 * Constructs a uniform distribution object. | |
| 1573 */ | |
| 1574 explicit | |
| 1575 uniform_int(_IntType __min = 0, _IntType __max = 9) | |
| 1576 : _M_min(__min), _M_max(__max) | |
| 1577 { | |
| 1578 _GLIBCXX_DEBUG_ASSERT(_M_min <= _M_max); | |
| 1579 } | |
| 1580 | |
| 1581 /** | |
| 1582 * Gets the inclusive lower bound of the distribution range. | |
| 1583 */ | |
| 1584 result_type | |
| 1585 min() const | |
| 1586 { return _M_min; } | |
| 1587 | |
| 1588 /** | |
| 1589 * Gets the inclusive upper bound of the distribution range. | |
| 1590 */ | |
| 1591 result_type | |
| 1592 max() const | |
| 1593 { return _M_max; } | |
| 1594 | |
| 1595 /** | |
| 1596 * Resets the distribution state. | |
| 1597 * | |
| 1598 * Does nothing for the uniform integer distribution. | |
| 1599 */ | |
| 1600 void | |
| 1601 reset() { } | |
| 1602 | |
| 1603 /** | |
| 1604 * Gets a uniformly distributed random number in the range | |
| 1605 * @f$(min, max)@f$. | |
| 1606 */ | |
| 1607 template<typename _UniformRandomNumberGenerator> | |
| 1608 result_type | |
| 1609 operator()(_UniformRandomNumberGenerator& __urng) | |
| 1610 { | |
| 1611 typedef typename _UniformRandomNumberGenerator::result_type | |
| 1612 _UResult_type; | |
| 1613 return _M_call(__urng, _M_min, _M_max, | |
| 1614 typename is_integral<_UResult_type>::type()); | |
| 1615 } | |
| 1616 | |
| 1617 /** | |
| 1618 * Gets a uniform random number in the range @f$[0, n)@f$. | |
| 1619 * | |
| 1620 * This function is aimed at use with std::random_shuffle. | |
| 1621 */ | |
| 1622 template<typename _UniformRandomNumberGenerator> | |
| 1623 result_type | |
| 1624 operator()(_UniformRandomNumberGenerator& __urng, result_type __n) | |
| 1625 { | |
| 1626 typedef typename _UniformRandomNumberGenerator::result_type | |
| 1627 _UResult_type; | |
| 1628 return _M_call(__urng, 0, __n - 1, | |
| 1629 typename is_integral<_UResult_type>::type()); | |
| 1630 } | |
| 1631 | |
| 1632 /** | |
| 1633 * Inserts a %uniform_int random number distribution @p __x into the | |
| 1634 * output stream @p os. | |
| 1635 * | |
| 1636 * @param __os An output stream. | |
| 1637 * @param __x A %uniform_int random number distribution. | |
| 1638 * | |
| 1639 * @returns The output stream with the state of @p __x inserted or in | |
| 1640 * an error state. | |
| 1641 */ | |
| 1642 template<typename _IntType1, typename _CharT, typename _Traits> | |
| 1643 friend std::basic_ostream<_CharT, _Traits>& | |
| 1644 operator<<(std::basic_ostream<_CharT, _Traits>& __os, | |
| 1645 const uniform_int<_IntType1>& __x); | |
| 1646 | |
| 1647 /** | |
| 1648 * Extracts a %uniform_int random number distribution | |
| 1649 * @p __x from the input stream @p __is. | |
| 1650 * | |
| 1651 * @param __is An input stream. | |
| 1652 * @param __x A %uniform_int random number generator engine. | |
| 1653 * | |
| 1654 * @returns The input stream with @p __x extracted or in an error state. | |
| 1655 */ | |
| 1656 template<typename _IntType1, typename _CharT, typename _Traits> | |
| 1657 friend std::basic_istream<_CharT, _Traits>& | |
| 1658 operator>>(std::basic_istream<_CharT, _Traits>& __is, | |
| 1659 uniform_int<_IntType1>& __x); | |
| 1660 | |
| 1661 private: | |
| 1662 template<typename _UniformRandomNumberGenerator> | |
| 1663 result_type | |
| 1664 _M_call(_UniformRandomNumberGenerator& __urng, | |
| 1665 result_type __min, result_type __max, true_type); | |
| 1666 | |
| 1667 template<typename _UniformRandomNumberGenerator> | |
| 1668 result_type | |
| 1669 _M_call(_UniformRandomNumberGenerator& __urng, | |
| 1670 result_type __min, result_type __max, false_type) | |
| 1671 { | |
| 1672 return result_type((__urng() - __urng.min()) | |
| 1673 / (__urng.max() - __urng.min()) | |
| 1674 * (__max - __min + 1)) + __min; | |
| 1675 } | |
| 1676 | |
| 1677 _IntType _M_min; | |
| 1678 _IntType _M_max; | |
| 1679 }; | |
| 1680 | |
| 1681 | |
| 1682 /** | |
| 1683 * @brief A Bernoulli random number distribution. | |
| 1684 * | |
| 1685 * Generates a sequence of true and false values with likelihood @f$ p @f$ | |
| 1686 * that true will come up and @f$ (1 - p) @f$ that false will appear. | |
| 1687 */ | |
| 1688 class bernoulli_distribution | |
| 1689 { | |
| 1690 public: | |
| 1691 typedef int input_type; | |
| 1692 typedef bool result_type; | |
| 1693 | |
| 1694 public: | |
| 1695 /** | |
| 1696 * Constructs a Bernoulli distribution with likelihood @p p. | |
| 1697 * | |
| 1698 * @param __p [IN] The likelihood of a true result being returned. Must | |
| 1699 * be in the interval @f$ [0, 1] @f$. | |
| 1700 */ | |
| 1701 explicit | |
| 1702 bernoulli_distribution(double __p = 0.5) | |
| 1703 : _M_p(__p) | |
| 1704 { | |
| 1705 _GLIBCXX_DEBUG_ASSERT((_M_p >= 0.0) && (_M_p <= 1.0)); | |
| 1706 } | |
| 1707 | |
| 1708 /** | |
| 1709 * Gets the @p p parameter of the distribution. | |
| 1710 */ | |
| 1711 double | |
| 1712 p() const | |
| 1713 { return _M_p; } | |
| 1714 | |
| 1715 /** | |
| 1716 * Resets the distribution state. | |
| 1717 * | |
| 1718 * Does nothing for a Bernoulli distribution. | |
| 1719 */ | |
| 1720 void | |
| 1721 reset() { } | |
| 1722 | |
| 1723 /** | |
| 1724 * Gets the next value in the Bernoullian sequence. | |
| 1725 */ | |
| 1726 template<class _UniformRandomNumberGenerator> | |
| 1727 result_type | |
| 1728 operator()(_UniformRandomNumberGenerator& __urng) | |
| 1729 { | |
| 1730 if ((__urng() - __urng.min()) < _M_p * (__urng.max() - __urng.min())) | |
| 1731 return true; | |
| 1732 return false; | |
| 1733 } | |
| 1734 | |
| 1735 /** | |
| 1736 * Inserts a %bernoulli_distribution random number distribution | |
| 1737 * @p __x into the output stream @p __os. | |
| 1738 * | |
| 1739 * @param __os An output stream. | |
| 1740 * @param __x A %bernoulli_distribution random number distribution. | |
| 1741 * | |
| 1742 * @returns The output stream with the state of @p __x inserted or in | |
| 1743 * an error state. | |
| 1744 */ | |
| 1745 template<typename _CharT, typename _Traits> | |
| 1746 friend std::basic_ostream<_CharT, _Traits>& | |
| 1747 operator<<(std::basic_ostream<_CharT, _Traits>& __os, | |
| 1748 const bernoulli_distribution& __x); | |
| 1749 | |
| 1750 /** | |
| 1751 * Extracts a %bernoulli_distribution random number distribution | |
| 1752 * @p __x from the input stream @p __is. | |
| 1753 * | |
| 1754 * @param __is An input stream. | |
| 1755 * @param __x A %bernoulli_distribution random number generator engine. | |
| 1756 * | |
| 1757 * @returns The input stream with @p __x extracted or in an error state. | |
| 1758 */ | |
| 1759 template<typename _CharT, typename _Traits> | |
| 1760 friend std::basic_istream<_CharT, _Traits>& | |
| 1761 operator>>(std::basic_istream<_CharT, _Traits>& __is, | |
| 1762 bernoulli_distribution& __x) | |
| 1763 { return __is >> __x._M_p; } | |
| 1764 | |
| 1765 private: | |
| 1766 double _M_p; | |
| 1767 }; | |
| 1768 | |
| 1769 | |
| 1770 /** | |
| 1771 * @brief A discrete geometric random number distribution. | |
| 1772 * | |
| 1773 * The formula for the geometric probability mass function is | |
| 1774 * @f$ p(i) = (1 - p)p^{i-1} @f$ where @f$ p @f$ is the parameter of the | |
| 1775 * distribution. | |
| 1776 */ | |
| 1777 template<typename _IntType = int, typename _RealType = double> | |
| 1778 class geometric_distribution | |
| 1779 { | |
| 1780 public: | |
| 1781 // types | |
| 1782 typedef _RealType input_type; | |
| 1783 typedef _IntType result_type; | |
| 1784 | |
| 1785 // constructors and member function | |
| 1786 explicit | |
| 1787 geometric_distribution(const _RealType& __p = _RealType(0.5)) | |
| 1788 : _M_p(__p) | |
| 1789 { | |
| 1790 _GLIBCXX_DEBUG_ASSERT((_M_p > 0.0) && (_M_p < 1.0)); | |
| 1791 _M_initialize(); | |
| 1792 } | |
| 1793 | |
| 1794 /** | |
| 1795 * Gets the distribution parameter @p p. | |
| 1796 */ | |
| 1797 _RealType | |
| 1798 p() const | |
| 1799 { return _M_p; } | |
| 1800 | |
| 1801 void | |
| 1802 reset() { } | |
| 1803 | |
| 1804 template<class _UniformRandomNumberGenerator> | |
| 1805 result_type | |
| 1806 operator()(_UniformRandomNumberGenerator& __urng); | |
| 1807 | |
| 1808 /** | |
| 1809 * Inserts a %geometric_distribution random number distribution | |
| 1810 * @p __x into the output stream @p __os. | |
| 1811 * | |
| 1812 * @param __os An output stream. | |
| 1813 * @param __x A %geometric_distribution random number distribution. | |
| 1814 * | |
| 1815 * @returns The output stream with the state of @p __x inserted or in | |
| 1816 * an error state. | |
| 1817 */ | |
| 1818 template<typename _IntType1, typename _RealType1, | |
| 1819 typename _CharT, typename _Traits> | |
| 1820 friend std::basic_ostream<_CharT, _Traits>& | |
| 1821 operator<<(std::basic_ostream<_CharT, _Traits>& __os, | |
| 1822 const geometric_distribution<_IntType1, _RealType1>& __x); | |
| 1823 | |
| 1824 /** | |
| 1825 * Extracts a %geometric_distribution random number distribution | |
| 1826 * @p __x from the input stream @p __is. | |
| 1827 * | |
| 1828 * @param __is An input stream. | |
| 1829 * @param __x A %geometric_distribution random number generator engine. | |
| 1830 * | |
| 1831 * @returns The input stream with @p __x extracted or in an error state. | |
| 1832 */ | |
| 1833 template<typename _CharT, typename _Traits> | |
| 1834 friend std::basic_istream<_CharT, _Traits>& | |
| 1835 operator>>(std::basic_istream<_CharT, _Traits>& __is, | |
| 1836 geometric_distribution& __x) | |
| 1837 { | |
| 1838 __is >> __x._M_p; | |
| 1839 __x._M_initialize(); | |
| 1840 return __is; | |
| 1841 } | |
| 1842 | |
| 1843 private: | |
| 1844 void | |
| 1845 _M_initialize() | |
| 1846 { _M_log_p = std::log(_M_p); } | |
| 1847 | |
| 1848 _RealType _M_p; | |
| 1849 _RealType _M_log_p; | |
| 1850 }; | |
| 1851 | |
| 1852 | |
| 1853 template<typename _RealType> | |
| 1854 class normal_distribution; | |
| 1855 | |
| 1856 /** | |
| 1857 * @brief A discrete Poisson random number distribution. | |
| 1858 * | |
| 1859 * The formula for the Poisson probability mass function is | |
| 1860 * @f$ p(i) = \frac{mean^i}{i!} e^{-mean} @f$ where @f$ mean @f$ is the | |
| 1861 * parameter of the distribution. | |
| 1862 */ | |
| 1863 template<typename _IntType = int, typename _RealType = double> | |
| 1864 class poisson_distribution | |
| 1865 { | |
| 1866 public: | |
| 1867 // types | |
| 1868 typedef _RealType input_type; | |
| 1869 typedef _IntType result_type; | |
| 1870 | |
| 1871 // constructors and member function | |
| 1872 explicit | |
| 1873 poisson_distribution(const _RealType& __mean = _RealType(1)) | |
| 1874 : _M_mean(__mean), _M_nd() | |
| 1875 { | |
| 1876 _GLIBCXX_DEBUG_ASSERT(_M_mean > 0.0); | |
| 1877 _M_initialize(); | |
| 1878 } | |
| 1879 | |
| 1880 /** | |
| 1881 * Gets the distribution parameter @p mean. | |
| 1882 */ | |
| 1883 _RealType | |
| 1884 mean() const | |
| 1885 { return _M_mean; } | |
| 1886 | |
| 1887 void | |
| 1888 reset() | |
| 1889 { _M_nd.reset(); } | |
| 1890 | |
| 1891 template<class _UniformRandomNumberGenerator> | |
| 1892 result_type | |
| 1893 operator()(_UniformRandomNumberGenerator& __urng); | |
| 1894 | |
| 1895 /** | |
| 1896 * Inserts a %poisson_distribution random number distribution | |
| 1897 * @p __x into the output stream @p __os. | |
| 1898 * | |
| 1899 * @param __os An output stream. | |
| 1900 * @param __x A %poisson_distribution random number distribution. | |
| 1901 * | |
| 1902 * @returns The output stream with the state of @p __x inserted or in | |
| 1903 * an error state. | |
| 1904 */ | |
| 1905 template<typename _IntType1, typename _RealType1, | |
| 1906 typename _CharT, typename _Traits> | |
| 1907 friend std::basic_ostream<_CharT, _Traits>& | |
| 1908 operator<<(std::basic_ostream<_CharT, _Traits>& __os, | |
| 1909 const poisson_distribution<_IntType1, _RealType1>& __x); | |
| 1910 | |
| 1911 /** | |
| 1912 * Extracts a %poisson_distribution random number distribution | |
| 1913 * @p __x from the input stream @p __is. | |
| 1914 * | |
| 1915 * @param __is An input stream. | |
| 1916 * @param __x A %poisson_distribution random number generator engine. | |
| 1917 * | |
| 1918 * @returns The input stream with @p __x extracted or in an error state. | |
| 1919 */ | |
| 1920 template<typename _IntType1, typename _RealType1, | |
| 1921 typename _CharT, typename _Traits> | |
| 1922 friend std::basic_istream<_CharT, _Traits>& | |
| 1923 operator>>(std::basic_istream<_CharT, _Traits>& __is, | |
| 1924 poisson_distribution<_IntType1, _RealType1>& __x); | |
| 1925 | |
| 1926 private: | |
| 1927 void | |
| 1928 _M_initialize(); | |
| 1929 | |
| 1930 // NB: Unused when _GLIBCXX_USE_C99_MATH_TR1 is undefined. | |
| 1931 normal_distribution<_RealType> _M_nd; | |
| 1932 | |
| 1933 _RealType _M_mean; | |
| 1934 | |
| 1935 // Hosts either log(mean) or the threshold of the simple method. | |
| 1936 _RealType _M_lm_thr; | |
| 1937 #if _GLIBCXX_USE_C99_MATH_TR1 | |
| 1938 _RealType _M_lfm, _M_sm, _M_d, _M_scx, _M_1cx, _M_c2b, _M_cb; | |
| 1939 #endif | |
| 1940 }; | |
| 1941 | |
| 1942 | |
| 1943 /** | |
| 1944 * @brief A discrete binomial random number distribution. | |
| 1945 * | |
| 1946 * The formula for the binomial probability mass function is | |
| 1947 * @f$ p(i) = \binom{n}{i} p^i (1 - p)^{t - i} @f$ where @f$ t @f$ | |
| 1948 * and @f$ p @f$ are the parameters of the distribution. | |
| 1949 */ | |
| 1950 template<typename _IntType = int, typename _RealType = double> | |
| 1951 class binomial_distribution | |
| 1952 { | |
| 1953 public: | |
| 1954 // types | |
| 1955 typedef _RealType input_type; | |
| 1956 typedef _IntType result_type; | |
| 1957 | |
| 1958 // constructors and member function | |
| 1959 explicit | |
| 1960 binomial_distribution(_IntType __t = 1, | |
| 1961 const _RealType& __p = _RealType(0.5)) | |
| 1962 : _M_t(__t), _M_p(__p), _M_nd() | |
| 1963 { | |
| 1964 _GLIBCXX_DEBUG_ASSERT((_M_t >= 0) && (_M_p >= 0.0) && (_M_p <= 1.0)); | |
| 1965 _M_initialize(); | |
| 1966 } | |
| 1967 | |
| 1968 /** | |
| 1969 * Gets the distribution @p t parameter. | |
| 1970 */ | |
| 1971 _IntType | |
| 1972 t() const | |
| 1973 { return _M_t; } | |
| 1974 | |
| 1975 /** | |
| 1976 * Gets the distribution @p p parameter. | |
| 1977 */ | |
| 1978 _RealType | |
| 1979 p() const | |
| 1980 { return _M_p; } | |
| 1981 | |
| 1982 void | |
| 1983 reset() | |
| 1984 { _M_nd.reset(); } | |
| 1985 | |
| 1986 template<class _UniformRandomNumberGenerator> | |
| 1987 result_type | |
| 1988 operator()(_UniformRandomNumberGenerator& __urng); | |
| 1989 | |
| 1990 /** | |
| 1991 * Inserts a %binomial_distribution random number distribution | |
| 1992 * @p __x into the output stream @p __os. | |
| 1993 * | |
| 1994 * @param __os An output stream. | |
| 1995 * @param __x A %binomial_distribution random number distribution. | |
| 1996 * | |
| 1997 * @returns The output stream with the state of @p __x inserted or in | |
| 1998 * an error state. | |
| 1999 */ | |
| 2000 template<typename _IntType1, typename _RealType1, | |
| 2001 typename _CharT, typename _Traits> | |
| 2002 friend std::basic_ostream<_CharT, _Traits>& | |
| 2003 operator<<(std::basic_ostream<_CharT, _Traits>& __os, | |
| 2004 const binomial_distribution<_IntType1, _RealType1>& __x); | |
| 2005 | |
| 2006 /** | |
| 2007 * Extracts a %binomial_distribution random number distribution | |
| 2008 * @p __x from the input stream @p __is. | |
| 2009 * | |
| 2010 * @param __is An input stream. | |
| 2011 * @param __x A %binomial_distribution random number generator engine. | |
| 2012 * | |
| 2013 * @returns The input stream with @p __x extracted or in an error state. | |
| 2014 */ | |
| 2015 template<typename _IntType1, typename _RealType1, | |
| 2016 typename _CharT, typename _Traits> | |
| 2017 friend std::basic_istream<_CharT, _Traits>& | |
| 2018 operator>>(std::basic_istream<_CharT, _Traits>& __is, | |
| 2019 binomial_distribution<_IntType1, _RealType1>& __x); | |
| 2020 | |
| 2021 private: | |
| 2022 void | |
| 2023 _M_initialize(); | |
| 2024 | |
| 2025 template<class _UniformRandomNumberGenerator> | |
| 2026 result_type | |
| 2027 _M_waiting(_UniformRandomNumberGenerator& __urng, _IntType __t); | |
| 2028 | |
| 2029 // NB: Unused when _GLIBCXX_USE_C99_MATH_TR1 is undefined. | |
| 2030 normal_distribution<_RealType> _M_nd; | |
| 2031 | |
| 2032 _RealType _M_q; | |
| 2033 #if _GLIBCXX_USE_C99_MATH_TR1 | |
| 2034 _RealType _M_d1, _M_d2, _M_s1, _M_s2, _M_c, | |
| 2035 _M_a1, _M_a123, _M_s, _M_lf, _M_lp1p; | |
| 2036 #endif | |
| 2037 _RealType _M_p; | |
| 2038 _IntType _M_t; | |
| 2039 | |
| 2040 bool _M_easy; | |
| 2041 }; | |
| 2042 | |
| 2043 /* @} */ // group tr1_random_distributions_discrete | |
| 2044 | |
| 2045 /** | |
| 2046 * @defgroup tr1_random_distributions_continuous Continuous Distributions | |
| 2047 * @ingroup tr1_random_distributions | |
| 2048 * @{ | |
| 2049 */ | |
| 2050 | |
| 2051 /** | |
| 2052 * @brief Uniform continuous distribution for random numbers. | |
| 2053 * | |
| 2054 * A continuous random distribution on the range [min, max) with equal | |
| 2055 * probability throughout the range. The URNG should be real-valued and | |
| 2056 * deliver number in the range [0, 1). | |
| 2057 */ | |
| 2058 template<typename _RealType = double> | |
| 2059 class uniform_real | |
| 2060 { | |
| 2061 public: | |
| 2062 // types | |
| 2063 typedef _RealType input_type; | |
| 2064 typedef _RealType result_type; | |
| 2065 | |
| 2066 public: | |
| 2067 /** | |
| 2068 * Constructs a uniform_real object. | |
| 2069 * | |
| 2070 * @param __min [IN] The lower bound of the distribution. | |
| 2071 * @param __max [IN] The upper bound of the distribution. | |
| 2072 */ | |
| 2073 explicit | |
| 2074 uniform_real(_RealType __min = _RealType(0), | |
| 2075 _RealType __max = _RealType(1)) | |
| 2076 : _M_min(__min), _M_max(__max) | |
| 2077 { | |
| 2078 _GLIBCXX_DEBUG_ASSERT(_M_min <= _M_max); | |
| 2079 } | |
| 2080 | |
| 2081 result_type | |
| 2082 min() const | |
| 2083 { return _M_min; } | |
| 2084 | |
| 2085 result_type | |
| 2086 max() const | |
| 2087 { return _M_max; } | |
| 2088 | |
| 2089 void | |
| 2090 reset() { } | |
| 2091 | |
| 2092 template<class _UniformRandomNumberGenerator> | |
| 2093 result_type | |
| 2094 operator()(_UniformRandomNumberGenerator& __urng) | |
| 2095 { return (__urng() * (_M_max - _M_min)) + _M_min; } | |
| 2096 | |
| 2097 /** | |
| 2098 * Inserts a %uniform_real random number distribution @p __x into the | |
| 2099 * output stream @p __os. | |
| 2100 * | |
| 2101 * @param __os An output stream. | |
| 2102 * @param __x A %uniform_real random number distribution. | |
| 2103 * | |
| 2104 * @returns The output stream with the state of @p __x inserted or in | |
| 2105 * an error state. | |
| 2106 */ | |
| 2107 template<typename _RealType1, typename _CharT, typename _Traits> | |
| 2108 friend std::basic_ostream<_CharT, _Traits>& | |
| 2109 operator<<(std::basic_ostream<_CharT, _Traits>& __os, | |
| 2110 const uniform_real<_RealType1>& __x); | |
| 2111 | |
| 2112 /** | |
| 2113 * Extracts a %uniform_real random number distribution | |
| 2114 * @p __x from the input stream @p __is. | |
| 2115 * | |
| 2116 * @param __is An input stream. | |
| 2117 * @param __x A %uniform_real random number generator engine. | |
| 2118 * | |
| 2119 * @returns The input stream with @p __x extracted or in an error state. | |
| 2120 */ | |
| 2121 template<typename _RealType1, typename _CharT, typename _Traits> | |
| 2122 friend std::basic_istream<_CharT, _Traits>& | |
| 2123 operator>>(std::basic_istream<_CharT, _Traits>& __is, | |
| 2124 uniform_real<_RealType1>& __x); | |
| 2125 | |
| 2126 private: | |
| 2127 _RealType _M_min; | |
| 2128 _RealType _M_max; | |
| 2129 }; | |
| 2130 | |
| 2131 | |
| 2132 /** | |
| 2133 * @brief An exponential continuous distribution for random numbers. | |
| 2134 * | |
| 2135 * The formula for the exponential probability mass function is | |
| 2136 * @f$ p(x) = \lambda e^{-\lambda x} @f$. | |
| 2137 * | |
| 2138 * <table border=1 cellpadding=10 cellspacing=0> | |
| 2139 * <caption align=top>Distribution Statistics</caption> | |
| 2140 * <tr><td>Mean</td><td>@f$ \frac{1}{\lambda} @f$</td></tr> | |
| 2141 * <tr><td>Median</td><td>@f$ \frac{\ln 2}{\lambda} @f$</td></tr> | |
| 2142 * <tr><td>Mode</td><td>@f$ zero @f$</td></tr> | |
| 2143 * <tr><td>Range</td><td>@f$[0, \infty]@f$</td></tr> | |
| 2144 * <tr><td>Standard Deviation</td><td>@f$ \frac{1}{\lambda} @f$</td></tr> | |
| 2145 * </table> | |
| 2146 */ | |
| 2147 template<typename _RealType = double> | |
| 2148 class exponential_distribution | |
| 2149 { | |
| 2150 public: | |
| 2151 // types | |
| 2152 typedef _RealType input_type; | |
| 2153 typedef _RealType result_type; | |
| 2154 | |
| 2155 public: | |
| 2156 /** | |
| 2157 * Constructs an exponential distribution with inverse scale parameter | |
| 2158 * @f$ \lambda @f$. | |
| 2159 */ | |
| 2160 explicit | |
| 2161 exponential_distribution(const result_type& __lambda = result_type(1)) | |
| 2162 : _M_lambda(__lambda) | |
| 2163 { | |
| 2164 _GLIBCXX_DEBUG_ASSERT(_M_lambda > 0); | |
| 2165 } | |
| 2166 | |
| 2167 /** | |
| 2168 * Gets the inverse scale parameter of the distribution. | |
| 2169 */ | |
| 2170 _RealType | |
| 2171 lambda() const | |
| 2172 { return _M_lambda; } | |
| 2173 | |
| 2174 /** | |
| 2175 * Resets the distribution. | |
| 2176 * | |
| 2177 * Has no effect on exponential distributions. | |
| 2178 */ | |
| 2179 void | |
| 2180 reset() { } | |
| 2181 | |
| 2182 template<class _UniformRandomNumberGenerator> | |
| 2183 result_type | |
| 2184 operator()(_UniformRandomNumberGenerator& __urng) | |
| 2185 { return -std::log(__urng()) / _M_lambda; } | |
| 2186 | |
| 2187 /** | |
| 2188 * Inserts a %exponential_distribution random number distribution | |
| 2189 * @p __x into the output stream @p __os. | |
| 2190 * | |
| 2191 * @param __os An output stream. | |
| 2192 * @param __x A %exponential_distribution random number distribution. | |
| 2193 * | |
| 2194 * @returns The output stream with the state of @p __x inserted or in | |
| 2195 * an error state. | |
| 2196 */ | |
| 2197 template<typename _RealType1, typename _CharT, typename _Traits> | |
| 2198 friend std::basic_ostream<_CharT, _Traits>& | |
| 2199 operator<<(std::basic_ostream<_CharT, _Traits>& __os, | |
| 2200 const exponential_distribution<_RealType1>& __x); | |
| 2201 | |
| 2202 /** | |
| 2203 * Extracts a %exponential_distribution random number distribution | |
| 2204 * @p __x from the input stream @p __is. | |
| 2205 * | |
| 2206 * @param __is An input stream. | |
| 2207 * @param __x A %exponential_distribution random number | |
| 2208 * generator engine. | |
| 2209 * | |
| 2210 * @returns The input stream with @p __x extracted or in an error state. | |
| 2211 */ | |
| 2212 template<typename _CharT, typename _Traits> | |
| 2213 friend std::basic_istream<_CharT, _Traits>& | |
| 2214 operator>>(std::basic_istream<_CharT, _Traits>& __is, | |
| 2215 exponential_distribution& __x) | |
| 2216 { return __is >> __x._M_lambda; } | |
| 2217 | |
| 2218 private: | |
| 2219 result_type _M_lambda; | |
| 2220 }; | |
| 2221 | |
| 2222 | |
| 2223 /** | |
| 2224 * @brief A normal continuous distribution for random numbers. | |
| 2225 * | |
| 2226 * The formula for the normal probability mass function is | |
| 2227 * @f$ p(x) = \frac{1}{\sigma \sqrt{2 \pi}} | |
| 2228 * e^{- \frac{{x - mean}^ {2}}{2 \sigma ^ {2}} } @f$. | |
| 2229 */ | |
| 2230 template<typename _RealType = double> | |
| 2231 class normal_distribution | |
| 2232 { | |
| 2233 public: | |
| 2234 // types | |
| 2235 typedef _RealType input_type; | |
| 2236 typedef _RealType result_type; | |
| 2237 | |
| 2238 public: | |
| 2239 /** | |
| 2240 * Constructs a normal distribution with parameters @f$ mean @f$ and | |
| 2241 * @f$ \sigma @f$. | |
| 2242 */ | |
| 2243 explicit | |
| 2244 normal_distribution(const result_type& __mean = result_type(0), | |
| 2245 const result_type& __sigma = result_type(1)) | |
| 2246 : _M_mean(__mean), _M_sigma(__sigma), _M_saved_available(false) | |
| 2247 { | |
| 2248 _GLIBCXX_DEBUG_ASSERT(_M_sigma > 0); | |
| 2249 } | |
| 2250 | |
| 2251 /** | |
| 2252 * Gets the mean of the distribution. | |
| 2253 */ | |
| 2254 _RealType | |
| 2255 mean() const | |
| 2256 { return _M_mean; } | |
| 2257 | |
| 2258 /** | |
| 2259 * Gets the @f$ \sigma @f$ of the distribution. | |
| 2260 */ | |
| 2261 _RealType | |
| 2262 sigma() const | |
| 2263 { return _M_sigma; } | |
| 2264 | |
| 2265 /** | |
| 2266 * Resets the distribution. | |
| 2267 */ | |
| 2268 void | |
| 2269 reset() | |
| 2270 { _M_saved_available = false; } | |
| 2271 | |
| 2272 template<class _UniformRandomNumberGenerator> | |
| 2273 result_type | |
| 2274 operator()(_UniformRandomNumberGenerator& __urng); | |
| 2275 | |
| 2276 /** | |
| 2277 * Inserts a %normal_distribution random number distribution | |
| 2278 * @p __x into the output stream @p __os. | |
| 2279 * | |
| 2280 * @param __os An output stream. | |
| 2281 * @param __x A %normal_distribution random number distribution. | |
| 2282 * | |
| 2283 * @returns The output stream with the state of @p __x inserted or in | |
| 2284 * an error state. | |
| 2285 */ | |
| 2286 template<typename _RealType1, typename _CharT, typename _Traits> | |
| 2287 friend std::basic_ostream<_CharT, _Traits>& | |
| 2288 operator<<(std::basic_ostream<_CharT, _Traits>& __os, | |
| 2289 const normal_distribution<_RealType1>& __x); | |
| 2290 | |
| 2291 /** | |
| 2292 * Extracts a %normal_distribution random number distribution | |
| 2293 * @p __x from the input stream @p __is. | |
| 2294 * | |
| 2295 * @param __is An input stream. | |
| 2296 * @param __x A %normal_distribution random number generator engine. | |
| 2297 * | |
| 2298 * @returns The input stream with @p __x extracted or in an error state. | |
| 2299 */ | |
| 2300 template<typename _RealType1, typename _CharT, typename _Traits> | |
| 2301 friend std::basic_istream<_CharT, _Traits>& | |
| 2302 operator>>(std::basic_istream<_CharT, _Traits>& __is, | |
| 2303 normal_distribution<_RealType1>& __x); | |
| 2304 | |
| 2305 private: | |
| 2306 result_type _M_mean; | |
| 2307 result_type _M_sigma; | |
| 2308 result_type _M_saved; | |
| 2309 bool _M_saved_available; | |
| 2310 }; | |
| 2311 | |
| 2312 | |
| 2313 /** | |
| 2314 * @brief A gamma continuous distribution for random numbers. | |
| 2315 * | |
| 2316 * The formula for the gamma probability mass function is | |
| 2317 * @f$ p(x) = \frac{1}{\Gamma(\alpha)} x^{\alpha - 1} e^{-x} @f$. | |
| 2318 */ | |
| 2319 template<typename _RealType = double> | |
| 2320 class gamma_distribution | |
| 2321 { | |
| 2322 public: | |
| 2323 // types | |
| 2324 typedef _RealType input_type; | |
| 2325 typedef _RealType result_type; | |
| 2326 | |
| 2327 public: | |
| 2328 /** | |
| 2329 * Constructs a gamma distribution with parameters @f$ \alpha @f$. | |
| 2330 */ | |
| 2331 explicit | |
| 2332 gamma_distribution(const result_type& __alpha_val = result_type(1)) | |
| 2333 : _M_alpha(__alpha_val) | |
| 2334 { | |
| 2335 _GLIBCXX_DEBUG_ASSERT(_M_alpha > 0); | |
| 2336 _M_initialize(); | |
| 2337 } | |
| 2338 | |
| 2339 /** | |
| 2340 * Gets the @f$ \alpha @f$ of the distribution. | |
| 2341 */ | |
| 2342 _RealType | |
| 2343 alpha() const | |
| 2344 { return _M_alpha; } | |
| 2345 | |
| 2346 /** | |
| 2347 * Resets the distribution. | |
| 2348 */ | |
| 2349 void | |
| 2350 reset() { } | |
| 2351 | |
| 2352 template<class _UniformRandomNumberGenerator> | |
| 2353 result_type | |
| 2354 operator()(_UniformRandomNumberGenerator& __urng); | |
| 2355 | |
| 2356 /** | |
| 2357 * Inserts a %gamma_distribution random number distribution | |
| 2358 * @p __x into the output stream @p __os. | |
| 2359 * | |
| 2360 * @param __os An output stream. | |
| 2361 * @param __x A %gamma_distribution random number distribution. | |
| 2362 * | |
| 2363 * @returns The output stream with the state of @p __x inserted or in | |
| 2364 * an error state. | |
| 2365 */ | |
| 2366 template<typename _RealType1, typename _CharT, typename _Traits> | |
| 2367 friend std::basic_ostream<_CharT, _Traits>& | |
| 2368 operator<<(std::basic_ostream<_CharT, _Traits>& __os, | |
| 2369 const gamma_distribution<_RealType1>& __x); | |
| 2370 | |
| 2371 /** | |
| 2372 * Extracts a %gamma_distribution random number distribution | |
| 2373 * @p __x from the input stream @p __is. | |
| 2374 * | |
| 2375 * @param __is An input stream. | |
| 2376 * @param __x A %gamma_distribution random number generator engine. | |
| 2377 * | |
| 2378 * @returns The input stream with @p __x extracted or in an error state. | |
| 2379 */ | |
| 2380 template<typename _CharT, typename _Traits> | |
| 2381 friend std::basic_istream<_CharT, _Traits>& | |
| 2382 operator>>(std::basic_istream<_CharT, _Traits>& __is, | |
| 2383 gamma_distribution& __x) | |
| 2384 { | |
| 2385 __is >> __x._M_alpha; | |
| 2386 __x._M_initialize(); | |
| 2387 return __is; | |
| 2388 } | |
| 2389 | |
| 2390 private: | |
| 2391 void | |
| 2392 _M_initialize(); | |
| 2393 | |
| 2394 result_type _M_alpha; | |
| 2395 | |
| 2396 // Hosts either lambda of GB or d of modified Vaduva's. | |
| 2397 result_type _M_l_d; | |
| 2398 }; | |
| 2399 | |
| 2400 /* @} */ // group tr1_random_distributions_continuous | |
| 2401 /* @} */ // group tr1_random_distributions | |
| 2402 /* @} */ // group tr1_random | |
| 2403 | |
| 2404 _GLIBCXX_END_NAMESPACE_TR1 | |
| 2405 } | |
| 2406 | |
| 2407 #include <tr1_impl/random.tcc> | |
| OLD | NEW |