random revision 360784
1// -*- C++ -*- 2//===--------------------------- random -----------------------------------===// 3// 4// Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions. 5// See https://llvm.org/LICENSE.txt for license information. 6// SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception 7// 8//===----------------------------------------------------------------------===// 9 10#ifndef _LIBCPP_RANDOM 11#define _LIBCPP_RANDOM 12 13/* 14 random synopsis 15 16#include <initializer_list> 17 18namespace std 19{ 20 21// Engines 22 23template <class UIntType, UIntType a, UIntType c, UIntType m> 24class linear_congruential_engine 25{ 26public: 27 // types 28 typedef UIntType result_type; 29 30 // engine characteristics 31 static constexpr result_type multiplier = a; 32 static constexpr result_type increment = c; 33 static constexpr result_type modulus = m; 34 static constexpr result_type min() { return c == 0u ? 1u: 0u;} 35 static constexpr result_type max() { return m - 1u;} 36 static constexpr result_type default_seed = 1u; 37 38 // constructors and seeding functions 39 explicit linear_congruential_engine(result_type s = default_seed); 40 template<class Sseq> explicit linear_congruential_engine(Sseq& q); 41 void seed(result_type s = default_seed); 42 template<class Sseq> void seed(Sseq& q); 43 44 // generating functions 45 result_type operator()(); 46 void discard(unsigned long long z); 47}; 48 49template <class UIntType, UIntType a, UIntType c, UIntType m> 50bool 51operator==(const linear_congruential_engine<UIntType, a, c, m>& x, 52 const linear_congruential_engine<UIntType, a, c, m>& y); 53 54template <class UIntType, UIntType a, UIntType c, UIntType m> 55bool 56operator!=(const linear_congruential_engine<UIntType, a, c, m>& x, 57 const linear_congruential_engine<UIntType, a, c, m>& y); 58 59template <class charT, class traits, 60 class UIntType, UIntType a, UIntType c, UIntType m> 61basic_ostream<charT, traits>& 62operator<<(basic_ostream<charT, traits>& os, 63 const linear_congruential_engine<UIntType, a, c, m>& x); 64 65template <class charT, class traits, 66 class UIntType, UIntType a, UIntType c, UIntType m> 67basic_istream<charT, traits>& 68operator>>(basic_istream<charT, traits>& is, 69 linear_congruential_engine<UIntType, a, c, m>& x); 70 71template <class UIntType, size_t w, size_t n, size_t m, size_t r, 72 UIntType a, size_t u, UIntType d, size_t s, 73 UIntType b, size_t t, UIntType c, size_t l, UIntType f> 74class mersenne_twister_engine 75{ 76public: 77 // types 78 typedef UIntType result_type; 79 80 // engine characteristics 81 static constexpr size_t word_size = w; 82 static constexpr size_t state_size = n; 83 static constexpr size_t shift_size = m; 84 static constexpr size_t mask_bits = r; 85 static constexpr result_type xor_mask = a; 86 static constexpr size_t tempering_u = u; 87 static constexpr result_type tempering_d = d; 88 static constexpr size_t tempering_s = s; 89 static constexpr result_type tempering_b = b; 90 static constexpr size_t tempering_t = t; 91 static constexpr result_type tempering_c = c; 92 static constexpr size_t tempering_l = l; 93 static constexpr result_type initialization_multiplier = f; 94 static constexpr result_type min () { return 0; } 95 static constexpr result_type max() { return 2^w - 1; } 96 static constexpr result_type default_seed = 5489u; 97 98 // constructors and seeding functions 99 explicit mersenne_twister_engine(result_type value = default_seed); 100 template<class Sseq> explicit mersenne_twister_engine(Sseq& q); 101 void seed(result_type value = default_seed); 102 template<class Sseq> void seed(Sseq& q); 103 104 // generating functions 105 result_type operator()(); 106 void discard(unsigned long long z); 107}; 108 109template <class UIntType, size_t w, size_t n, size_t m, size_t r, 110 UIntType a, size_t u, UIntType d, size_t s, 111 UIntType b, size_t t, UIntType c, size_t l, UIntType f> 112bool 113operator==( 114 const mersenne_twister_engine<UIntType, w, n, m, r, a, u, d, s, b, t, c, l, f>& x, 115 const mersenne_twister_engine<UIntType, w, n, m, r, a, u, d, s, b, t, c, l, f>& y); 116 117template <class UIntType, size_t w, size_t n, size_t m, size_t r, 118 UIntType a, size_t u, UIntType d, size_t s, 119 UIntType b, size_t t, UIntType c, size_t l, UIntType f> 120bool 121operator!=( 122 const mersenne_twister_engine<UIntType, w, n, m, r, a, u, d, s, b, t, c, l, f>& x, 123 const mersenne_twister_engine<UIntType, w, n, m, r, a, u, d, s, b, t, c, l, f>& y); 124 125template <class charT, class traits, 126 class UIntType, size_t w, size_t n, size_t m, size_t r, 127 UIntType a, size_t u, UIntType d, size_t s, 128 UIntType b, size_t t, UIntType c, size_t l, UIntType f> 129basic_ostream<charT, traits>& 130operator<<(basic_ostream<charT, traits>& os, 131 const mersenne_twister_engine<UIntType, w, n, m, r, a, u, d, s, b, t, c, l, f>& x); 132 133template <class charT, class traits, 134 class UIntType, size_t w, size_t n, size_t m, size_t r, 135 UIntType a, size_t u, UIntType d, size_t s, 136 UIntType b, size_t t, UIntType c, size_t l, UIntType f> 137basic_istream<charT, traits>& 138operator>>(basic_istream<charT, traits>& is, 139 mersenne_twister_engine<UIntType, w, n, m, r, a, u, d, s, b, t, c, l, f>& x); 140 141template<class UIntType, size_t w, size_t s, size_t r> 142class subtract_with_carry_engine 143{ 144public: 145 // types 146 typedef UIntType result_type; 147 148 // engine characteristics 149 static constexpr size_t word_size = w; 150 static constexpr size_t short_lag = s; 151 static constexpr size_t long_lag = r; 152 static constexpr result_type min() { return 0; } 153 static constexpr result_type max() { return m-1; } 154 static constexpr result_type default_seed = 19780503u; 155 156 // constructors and seeding functions 157 explicit subtract_with_carry_engine(result_type value = default_seed); 158 template<class Sseq> explicit subtract_with_carry_engine(Sseq& q); 159 void seed(result_type value = default_seed); 160 template<class Sseq> void seed(Sseq& q); 161 162 // generating functions 163 result_type operator()(); 164 void discard(unsigned long long z); 165}; 166 167template<class UIntType, size_t w, size_t s, size_t r> 168bool 169operator==( 170 const subtract_with_carry_engine<UIntType, w, s, r>& x, 171 const subtract_with_carry_engine<UIntType, w, s, r>& y); 172 173template<class UIntType, size_t w, size_t s, size_t r> 174bool 175operator!=( 176 const subtract_with_carry_engine<UIntType, w, s, r>& x, 177 const subtract_with_carry_engine<UIntType, w, s, r>& y); 178 179template <class charT, class traits, 180 class UIntType, size_t w, size_t s, size_t r> 181basic_ostream<charT, traits>& 182operator<<(basic_ostream<charT, traits>& os, 183 const subtract_with_carry_engine<UIntType, w, s, r>& x); 184 185template <class charT, class traits, 186 class UIntType, size_t w, size_t s, size_t r> 187basic_istream<charT, traits>& 188operator>>(basic_istream<charT, traits>& is, 189 subtract_with_carry_engine<UIntType, w, s, r>& x); 190 191template<class Engine, size_t p, size_t r> 192class discard_block_engine 193{ 194public: 195 // types 196 typedef typename Engine::result_type result_type; 197 198 // engine characteristics 199 static constexpr size_t block_size = p; 200 static constexpr size_t used_block = r; 201 static constexpr result_type min() { return Engine::min(); } 202 static constexpr result_type max() { return Engine::max(); } 203 204 // constructors and seeding functions 205 discard_block_engine(); 206 explicit discard_block_engine(const Engine& e); 207 explicit discard_block_engine(Engine&& e); 208 explicit discard_block_engine(result_type s); 209 template<class Sseq> explicit discard_block_engine(Sseq& q); 210 void seed(); 211 void seed(result_type s); 212 template<class Sseq> void seed(Sseq& q); 213 214 // generating functions 215 result_type operator()(); 216 void discard(unsigned long long z); 217 218 // property functions 219 const Engine& base() const noexcept; 220}; 221 222template<class Engine, size_t p, size_t r> 223bool 224operator==( 225 const discard_block_engine<Engine, p, r>& x, 226 const discard_block_engine<Engine, p, r>& y); 227 228template<class Engine, size_t p, size_t r> 229bool 230operator!=( 231 const discard_block_engine<Engine, p, r>& x, 232 const discard_block_engine<Engine, p, r>& y); 233 234template <class charT, class traits, 235 class Engine, size_t p, size_t r> 236basic_ostream<charT, traits>& 237operator<<(basic_ostream<charT, traits>& os, 238 const discard_block_engine<Engine, p, r>& x); 239 240template <class charT, class traits, 241 class Engine, size_t p, size_t r> 242basic_istream<charT, traits>& 243operator>>(basic_istream<charT, traits>& is, 244 discard_block_engine<Engine, p, r>& x); 245 246template<class Engine, size_t w, class UIntType> 247class independent_bits_engine 248{ 249public: 250 // types 251 typedef UIntType result_type; 252 253 // engine characteristics 254 static constexpr result_type min() { return 0; } 255 static constexpr result_type max() { return 2^w - 1; } 256 257 // constructors and seeding functions 258 independent_bits_engine(); 259 explicit independent_bits_engine(const Engine& e); 260 explicit independent_bits_engine(Engine&& e); 261 explicit independent_bits_engine(result_type s); 262 template<class Sseq> explicit independent_bits_engine(Sseq& q); 263 void seed(); 264 void seed(result_type s); 265 template<class Sseq> void seed(Sseq& q); 266 267 // generating functions 268 result_type operator()(); void discard(unsigned long long z); 269 270 // property functions 271 const Engine& base() const noexcept; 272}; 273 274template<class Engine, size_t w, class UIntType> 275bool 276operator==( 277 const independent_bits_engine<Engine, w, UIntType>& x, 278 const independent_bits_engine<Engine, w, UIntType>& y); 279 280template<class Engine, size_t w, class UIntType> 281bool 282operator!=( 283 const independent_bits_engine<Engine, w, UIntType>& x, 284 const independent_bits_engine<Engine, w, UIntType>& y); 285 286template <class charT, class traits, 287 class Engine, size_t w, class UIntType> 288basic_ostream<charT, traits>& 289operator<<(basic_ostream<charT, traits>& os, 290 const independent_bits_engine<Engine, w, UIntType>& x); 291 292template <class charT, class traits, 293 class Engine, size_t w, class UIntType> 294basic_istream<charT, traits>& 295operator>>(basic_istream<charT, traits>& is, 296 independent_bits_engine<Engine, w, UIntType>& x); 297 298template<class Engine, size_t k> 299class shuffle_order_engine 300{ 301public: 302 // types 303 typedef typename Engine::result_type result_type; 304 305 // engine characteristics 306 static constexpr size_t table_size = k; 307 static constexpr result_type min() { return Engine::min; } 308 static constexpr result_type max() { return Engine::max; } 309 310 // constructors and seeding functions 311 shuffle_order_engine(); 312 explicit shuffle_order_engine(const Engine& e); 313 explicit shuffle_order_engine(Engine&& e); 314 explicit shuffle_order_engine(result_type s); 315 template<class Sseq> explicit shuffle_order_engine(Sseq& q); 316 void seed(); 317 void seed(result_type s); 318 template<class Sseq> void seed(Sseq& q); 319 320 // generating functions 321 result_type operator()(); 322 void discard(unsigned long long z); 323 324 // property functions 325 const Engine& base() const noexcept; 326}; 327 328template<class Engine, size_t k> 329bool 330operator==( 331 const shuffle_order_engine<Engine, k>& x, 332 const shuffle_order_engine<Engine, k>& y); 333 334template<class Engine, size_t k> 335bool 336operator!=( 337 const shuffle_order_engine<Engine, k>& x, 338 const shuffle_order_engine<Engine, k>& y); 339 340template <class charT, class traits, 341 class Engine, size_t k> 342basic_ostream<charT, traits>& 343operator<<(basic_ostream<charT, traits>& os, 344 const shuffle_order_engine<Engine, k>& x); 345 346template <class charT, class traits, 347 class Engine, size_t k> 348basic_istream<charT, traits>& 349operator>>(basic_istream<charT, traits>& is, 350 shuffle_order_engine<Engine, k>& x); 351 352typedef linear_congruential_engine<uint_fast32_t, 16807, 0, 2147483647> 353 minstd_rand0; 354typedef linear_congruential_engine<uint_fast32_t, 48271, 0, 2147483647> 355 minstd_rand; 356typedef mersenne_twister_engine<uint_fast32_t, 32, 624, 397, 31, 357 0x9908b0df, 358 11, 0xffffffff, 359 7, 0x9d2c5680, 360 15, 0xefc60000, 361 18, 1812433253> mt19937; 362typedef mersenne_twister_engine<uint_fast64_t, 64, 312, 156, 31, 363 0xb5026f5aa96619e9, 364 29, 0x5555555555555555, 365 17, 0x71d67fffeda60000, 366 37, 0xfff7eee000000000, 367 43, 6364136223846793005> mt19937_64; 368typedef subtract_with_carry_engine<uint_fast32_t, 24, 10, 24> ranlux24_base; 369typedef subtract_with_carry_engine<uint_fast64_t, 48, 5, 12> ranlux48_base; 370typedef discard_block_engine<ranlux24_base, 223, 23> ranlux24; 371typedef discard_block_engine<ranlux48_base, 389, 11> ranlux48; 372typedef shuffle_order_engine<minstd_rand0, 256> knuth_b; 373typedef minstd_rand default_random_engine; 374 375// Generators 376 377class random_device 378{ 379public: 380 // types 381 typedef unsigned int result_type; 382 383 // generator characteristics 384 static constexpr result_type min() { return numeric_limits<result_type>::min(); } 385 static constexpr result_type max() { return numeric_limits<result_type>::max(); } 386 387 // constructors 388 explicit random_device(const string& token = "/dev/urandom"); 389 390 // generating functions 391 result_type operator()(); 392 393 // property functions 394 double entropy() const noexcept; 395 396 // no copy functions 397 random_device(const random_device& ) = delete; 398 void operator=(const random_device& ) = delete; 399}; 400 401// Utilities 402 403class seed_seq 404{ 405public: 406 // types 407 typedef uint_least32_t result_type; 408 409 // constructors 410 seed_seq(); 411 template<class T> 412 seed_seq(initializer_list<T> il); 413 template<class InputIterator> 414 seed_seq(InputIterator begin, InputIterator end); 415 416 // generating functions 417 template<class RandomAccessIterator> 418 void generate(RandomAccessIterator begin, RandomAccessIterator end); 419 420 // property functions 421 size_t size() const; 422 template<class OutputIterator> 423 void param(OutputIterator dest) const; 424 425 // no copy functions 426 seed_seq(const seed_seq&) = delete; 427 void operator=(const seed_seq& ) = delete; 428}; 429 430template<class RealType, size_t bits, class URNG> 431 RealType generate_canonical(URNG& g); 432 433// Distributions 434 435template<class IntType = int> 436class uniform_int_distribution 437{ 438public: 439 // types 440 typedef IntType result_type; 441 442 class param_type 443 { 444 public: 445 typedef uniform_int_distribution distribution_type; 446 447 explicit param_type(IntType a = 0, 448 IntType b = numeric_limits<IntType>::max()); 449 450 result_type a() const; 451 result_type b() const; 452 453 friend bool operator==(const param_type& x, const param_type& y); 454 friend bool operator!=(const param_type& x, const param_type& y); 455 }; 456 457 // constructors and reset functions 458 explicit uniform_int_distribution(IntType a = 0, 459 IntType b = numeric_limits<IntType>::max()); 460 explicit uniform_int_distribution(const param_type& parm); 461 void reset(); 462 463 // generating functions 464 template<class URNG> result_type operator()(URNG& g); 465 template<class URNG> result_type operator()(URNG& g, const param_type& parm); 466 467 // property functions 468 result_type a() const; 469 result_type b() const; 470 471 param_type param() const; 472 void param(const param_type& parm); 473 474 result_type min() const; 475 result_type max() const; 476 477 friend bool operator==(const uniform_int_distribution& x, 478 const uniform_int_distribution& y); 479 friend bool operator!=(const uniform_int_distribution& x, 480 const uniform_int_distribution& y); 481 482 template <class charT, class traits> 483 friend 484 basic_ostream<charT, traits>& 485 operator<<(basic_ostream<charT, traits>& os, 486 const uniform_int_distribution& x); 487 488 template <class charT, class traits> 489 friend 490 basic_istream<charT, traits>& 491 operator>>(basic_istream<charT, traits>& is, 492 uniform_int_distribution& x); 493}; 494 495template<class RealType = double> 496class uniform_real_distribution 497{ 498public: 499 // types 500 typedef RealType result_type; 501 502 class param_type 503 { 504 public: 505 typedef uniform_real_distribution distribution_type; 506 507 explicit param_type(RealType a = 0, 508 RealType b = 1); 509 510 result_type a() const; 511 result_type b() const; 512 513 friend bool operator==(const param_type& x, const param_type& y); 514 friend bool operator!=(const param_type& x, const param_type& y); 515 }; 516 517 // constructors and reset functions 518 explicit uniform_real_distribution(RealType a = 0.0, RealType b = 1.0); 519 explicit uniform_real_distribution(const param_type& parm); 520 void reset(); 521 522 // generating functions 523 template<class URNG> result_type operator()(URNG& g); 524 template<class URNG> result_type operator()(URNG& g, const param_type& parm); 525 526 // property functions 527 result_type a() const; 528 result_type b() const; 529 530 param_type param() const; 531 void param(const param_type& parm); 532 533 result_type min() const; 534 result_type max() const; 535 536 friend bool operator==(const uniform_real_distribution& x, 537 const uniform_real_distribution& y); 538 friend bool operator!=(const uniform_real_distribution& x, 539 const uniform_real_distribution& y); 540 541 template <class charT, class traits> 542 friend 543 basic_ostream<charT, traits>& 544 operator<<(basic_ostream<charT, traits>& os, 545 const uniform_real_distribution& x); 546 547 template <class charT, class traits> 548 friend 549 basic_istream<charT, traits>& 550 operator>>(basic_istream<charT, traits>& is, 551 uniform_real_distribution& x); 552}; 553 554class bernoulli_distribution 555{ 556public: 557 // types 558 typedef bool result_type; 559 560 class param_type 561 { 562 public: 563 typedef bernoulli_distribution distribution_type; 564 565 explicit param_type(double p = 0.5); 566 567 double p() const; 568 569 friend bool operator==(const param_type& x, const param_type& y); 570 friend bool operator!=(const param_type& x, const param_type& y); 571 }; 572 573 // constructors and reset functions 574 explicit bernoulli_distribution(double p = 0.5); 575 explicit bernoulli_distribution(const param_type& parm); 576 void reset(); 577 578 // generating functions 579 template<class URNG> result_type operator()(URNG& g); 580 template<class URNG> result_type operator()(URNG& g, const param_type& parm); 581 582 // property functions 583 double p() const; 584 585 param_type param() const; 586 void param(const param_type& parm); 587 588 result_type min() const; 589 result_type max() const; 590 591 friend bool operator==(const bernoulli_distribution& x, 592 const bernoulli_distribution& y); 593 friend bool operator!=(const bernoulli_distribution& x, 594 const bernoulli_distribution& y); 595 596 template <class charT, class traits> 597 friend 598 basic_ostream<charT, traits>& 599 operator<<(basic_ostream<charT, traits>& os, 600 const bernoulli_distribution& x); 601 602 template <class charT, class traits> 603 friend 604 basic_istream<charT, traits>& 605 operator>>(basic_istream<charT, traits>& is, 606 bernoulli_distribution& x); 607}; 608 609template<class IntType = int> 610class binomial_distribution 611{ 612public: 613 // types 614 typedef IntType result_type; 615 616 class param_type 617 { 618 public: 619 typedef binomial_distribution distribution_type; 620 621 explicit param_type(IntType t = 1, double p = 0.5); 622 623 IntType t() const; 624 double p() const; 625 626 friend bool operator==(const param_type& x, const param_type& y); 627 friend bool operator!=(const param_type& x, const param_type& y); 628 }; 629 630 // constructors and reset functions 631 explicit binomial_distribution(IntType t = 1, double p = 0.5); 632 explicit binomial_distribution(const param_type& parm); 633 void reset(); 634 635 // generating functions 636 template<class URNG> result_type operator()(URNG& g); 637 template<class URNG> result_type operator()(URNG& g, const param_type& parm); 638 639 // property functions 640 IntType t() const; 641 double p() const; 642 643 param_type param() const; 644 void param(const param_type& parm); 645 646 result_type min() const; 647 result_type max() const; 648 649 friend bool operator==(const binomial_distribution& x, 650 const binomial_distribution& y); 651 friend bool operator!=(const binomial_distribution& x, 652 const binomial_distribution& y); 653 654 template <class charT, class traits> 655 friend 656 basic_ostream<charT, traits>& 657 operator<<(basic_ostream<charT, traits>& os, 658 const binomial_distribution& x); 659 660 template <class charT, class traits> 661 friend 662 basic_istream<charT, traits>& 663 operator>>(basic_istream<charT, traits>& is, 664 binomial_distribution& x); 665}; 666 667template<class IntType = int> 668class geometric_distribution 669{ 670public: 671 // types 672 typedef IntType result_type; 673 674 class param_type 675 { 676 public: 677 typedef geometric_distribution distribution_type; 678 679 explicit param_type(double p = 0.5); 680 681 double p() const; 682 683 friend bool operator==(const param_type& x, const param_type& y); 684 friend bool operator!=(const param_type& x, const param_type& y); 685 }; 686 687 // constructors and reset functions 688 explicit geometric_distribution(double p = 0.5); 689 explicit geometric_distribution(const param_type& parm); 690 void reset(); 691 692 // generating functions 693 template<class URNG> result_type operator()(URNG& g); 694 template<class URNG> result_type operator()(URNG& g, const param_type& parm); 695 696 // property functions 697 double p() const; 698 699 param_type param() const; 700 void param(const param_type& parm); 701 702 result_type min() const; 703 result_type max() const; 704 705 friend bool operator==(const geometric_distribution& x, 706 const geometric_distribution& y); 707 friend bool operator!=(const geometric_distribution& x, 708 const geometric_distribution& y); 709 710 template <class charT, class traits> 711 friend 712 basic_ostream<charT, traits>& 713 operator<<(basic_ostream<charT, traits>& os, 714 const geometric_distribution& x); 715 716 template <class charT, class traits> 717 friend 718 basic_istream<charT, traits>& 719 operator>>(basic_istream<charT, traits>& is, 720 geometric_distribution& x); 721}; 722 723template<class IntType = int> 724class negative_binomial_distribution 725{ 726public: 727 // types 728 typedef IntType result_type; 729 730 class param_type 731 { 732 public: 733 typedef negative_binomial_distribution distribution_type; 734 735 explicit param_type(result_type k = 1, double p = 0.5); 736 737 result_type k() const; 738 double p() const; 739 740 friend bool operator==(const param_type& x, const param_type& y); 741 friend bool operator!=(const param_type& x, const param_type& y); 742 }; 743 744 // constructor and reset functions 745 explicit negative_binomial_distribution(result_type k = 1, double p = 0.5); 746 explicit negative_binomial_distribution(const param_type& parm); 747 void reset(); 748 749 // generating functions 750 template<class URNG> result_type operator()(URNG& g); 751 template<class URNG> result_type operator()(URNG& g, const param_type& parm); 752 753 // property functions 754 result_type k() const; 755 double p() const; 756 757 param_type param() const; 758 void param(const param_type& parm); 759 760 result_type min() const; 761 result_type max() const; 762 763 friend bool operator==(const negative_binomial_distribution& x, 764 const negative_binomial_distribution& y); 765 friend bool operator!=(const negative_binomial_distribution& x, 766 const negative_binomial_distribution& y); 767 768 template <class charT, class traits> 769 friend 770 basic_ostream<charT, traits>& 771 operator<<(basic_ostream<charT, traits>& os, 772 const negative_binomial_distribution& x); 773 774 template <class charT, class traits> 775 friend 776 basic_istream<charT, traits>& 777 operator>>(basic_istream<charT, traits>& is, 778 negative_binomial_distribution& x); 779}; 780 781template<class IntType = int> 782class poisson_distribution 783{ 784public: 785 // types 786 typedef IntType result_type; 787 788 class param_type 789 { 790 public: 791 typedef poisson_distribution distribution_type; 792 793 explicit param_type(double mean = 1.0); 794 795 double mean() const; 796 797 friend bool operator==(const param_type& x, const param_type& y); 798 friend bool operator!=(const param_type& x, const param_type& y); 799 }; 800 801 // constructors and reset functions 802 explicit poisson_distribution(double mean = 1.0); 803 explicit poisson_distribution(const param_type& parm); 804 void reset(); 805 806 // generating functions 807 template<class URNG> result_type operator()(URNG& g); 808 template<class URNG> result_type operator()(URNG& g, const param_type& parm); 809 810 // property functions 811 double mean() const; 812 813 param_type param() const; 814 void param(const param_type& parm); 815 816 result_type min() const; 817 result_type max() const; 818 819 friend bool operator==(const poisson_distribution& x, 820 const poisson_distribution& y); 821 friend bool operator!=(const poisson_distribution& x, 822 const poisson_distribution& y); 823 824 template <class charT, class traits> 825 friend 826 basic_ostream<charT, traits>& 827 operator<<(basic_ostream<charT, traits>& os, 828 const poisson_distribution& x); 829 830 template <class charT, class traits> 831 friend 832 basic_istream<charT, traits>& 833 operator>>(basic_istream<charT, traits>& is, 834 poisson_distribution& x); 835}; 836 837template<class RealType = double> 838class exponential_distribution 839{ 840public: 841 // types 842 typedef RealType result_type; 843 844 class param_type 845 { 846 public: 847 typedef exponential_distribution distribution_type; 848 849 explicit param_type(result_type lambda = 1.0); 850 851 result_type lambda() const; 852 853 friend bool operator==(const param_type& x, const param_type& y); 854 friend bool operator!=(const param_type& x, const param_type& y); 855 }; 856 857 // constructors and reset functions 858 explicit exponential_distribution(result_type lambda = 1.0); 859 explicit exponential_distribution(const param_type& parm); 860 void reset(); 861 862 // generating functions 863 template<class URNG> result_type operator()(URNG& g); 864 template<class URNG> result_type operator()(URNG& g, const param_type& parm); 865 866 // property functions 867 result_type lambda() const; 868 869 param_type param() const; 870 void param(const param_type& parm); 871 872 result_type min() const; 873 result_type max() const; 874 875 friend bool operator==(const exponential_distribution& x, 876 const exponential_distribution& y); 877 friend bool operator!=(const exponential_distribution& x, 878 const exponential_distribution& y); 879 880 template <class charT, class traits> 881 friend 882 basic_ostream<charT, traits>& 883 operator<<(basic_ostream<charT, traits>& os, 884 const exponential_distribution& x); 885 886 template <class charT, class traits> 887 friend 888 basic_istream<charT, traits>& 889 operator>>(basic_istream<charT, traits>& is, 890 exponential_distribution& x); 891}; 892 893template<class RealType = double> 894class gamma_distribution 895{ 896public: 897 // types 898 typedef RealType result_type; 899 900 class param_type 901 { 902 public: 903 typedef gamma_distribution distribution_type; 904 905 explicit param_type(result_type alpha = 1, result_type beta = 1); 906 907 result_type alpha() const; 908 result_type beta() const; 909 910 friend bool operator==(const param_type& x, const param_type& y); 911 friend bool operator!=(const param_type& x, const param_type& y); 912 }; 913 914 // constructors and reset functions 915 explicit gamma_distribution(result_type alpha = 1, result_type beta = 1); 916 explicit gamma_distribution(const param_type& parm); 917 void reset(); 918 919 // generating functions 920 template<class URNG> result_type operator()(URNG& g); 921 template<class URNG> result_type operator()(URNG& g, const param_type& parm); 922 923 // property functions 924 result_type alpha() const; 925 result_type beta() const; 926 927 param_type param() const; 928 void param(const param_type& parm); 929 930 result_type min() const; 931 result_type max() const; 932 933 friend bool operator==(const gamma_distribution& x, 934 const gamma_distribution& y); 935 friend bool operator!=(const gamma_distribution& x, 936 const gamma_distribution& y); 937 938 template <class charT, class traits> 939 friend 940 basic_ostream<charT, traits>& 941 operator<<(basic_ostream<charT, traits>& os, 942 const gamma_distribution& x); 943 944 template <class charT, class traits> 945 friend 946 basic_istream<charT, traits>& 947 operator>>(basic_istream<charT, traits>& is, 948 gamma_distribution& x); 949}; 950 951template<class RealType = double> 952class weibull_distribution 953{ 954public: 955 // types 956 typedef RealType result_type; 957 958 class param_type 959 { 960 public: 961 typedef weibull_distribution distribution_type; 962 963 explicit param_type(result_type alpha = 1, result_type beta = 1); 964 965 result_type a() const; 966 result_type b() const; 967 968 friend bool operator==(const param_type& x, const param_type& y); 969 friend bool operator!=(const param_type& x, const param_type& y); 970 }; 971 972 // constructor and reset functions 973 explicit weibull_distribution(result_type a = 1, result_type b = 1); 974 explicit weibull_distribution(const param_type& parm); 975 void reset(); 976 977 // generating functions 978 template<class URNG> result_type operator()(URNG& g); 979 template<class URNG> result_type operator()(URNG& g, const param_type& parm); 980 981 // property functions 982 result_type a() const; 983 result_type b() const; 984 985 param_type param() const; 986 void param(const param_type& parm); 987 988 result_type min() const; 989 result_type max() const; 990 991 friend bool operator==(const weibull_distribution& x, 992 const weibull_distribution& y); 993 friend bool operator!=(const weibull_distribution& x, 994 const weibull_distribution& y); 995 996 template <class charT, class traits> 997 friend 998 basic_ostream<charT, traits>& 999 operator<<(basic_ostream<charT, traits>& os, 1000 const weibull_distribution& x); 1001 1002 template <class charT, class traits> 1003 friend 1004 basic_istream<charT, traits>& 1005 operator>>(basic_istream<charT, traits>& is, 1006 weibull_distribution& x); 1007}; 1008 1009template<class RealType = double> 1010class extreme_value_distribution 1011{ 1012public: 1013 // types 1014 typedef RealType result_type; 1015 1016 class param_type 1017 { 1018 public: 1019 typedef extreme_value_distribution distribution_type; 1020 1021 explicit param_type(result_type a = 0, result_type b = 1); 1022 1023 result_type a() const; 1024 result_type b() const; 1025 1026 friend bool operator==(const param_type& x, const param_type& y); 1027 friend bool operator!=(const param_type& x, const param_type& y); 1028 }; 1029 1030 // constructor and reset functions 1031 explicit extreme_value_distribution(result_type a = 0, result_type b = 1); 1032 explicit extreme_value_distribution(const param_type& parm); 1033 void reset(); 1034 1035 // generating functions 1036 template<class URNG> result_type operator()(URNG& g); 1037 template<class URNG> result_type operator()(URNG& g, const param_type& parm); 1038 1039 // property functions 1040 result_type a() const; 1041 result_type b() const; 1042 1043 param_type param() const; 1044 void param(const param_type& parm); 1045 1046 result_type min() const; 1047 result_type max() const; 1048 1049 friend bool operator==(const extreme_value_distribution& x, 1050 const extreme_value_distribution& y); 1051 friend bool operator!=(const extreme_value_distribution& x, 1052 const extreme_value_distribution& y); 1053 1054 template <class charT, class traits> 1055 friend 1056 basic_ostream<charT, traits>& 1057 operator<<(basic_ostream<charT, traits>& os, 1058 const extreme_value_distribution& x); 1059 1060 template <class charT, class traits> 1061 friend 1062 basic_istream<charT, traits>& 1063 operator>>(basic_istream<charT, traits>& is, 1064 extreme_value_distribution& x); 1065}; 1066 1067template<class RealType = double> 1068class normal_distribution 1069{ 1070public: 1071 // types 1072 typedef RealType result_type; 1073 1074 class param_type 1075 { 1076 public: 1077 typedef normal_distribution distribution_type; 1078 1079 explicit param_type(result_type mean = 0, result_type stddev = 1); 1080 1081 result_type mean() const; 1082 result_type stddev() const; 1083 1084 friend bool operator==(const param_type& x, const param_type& y); 1085 friend bool operator!=(const param_type& x, const param_type& y); 1086 }; 1087 1088 // constructors and reset functions 1089 explicit normal_distribution(result_type mean = 0, result_type stddev = 1); 1090 explicit normal_distribution(const param_type& parm); 1091 void reset(); 1092 1093 // generating functions 1094 template<class URNG> result_type operator()(URNG& g); 1095 template<class URNG> result_type operator()(URNG& g, const param_type& parm); 1096 1097 // property functions 1098 result_type mean() const; 1099 result_type stddev() const; 1100 1101 param_type param() const; 1102 void param(const param_type& parm); 1103 1104 result_type min() const; 1105 result_type max() const; 1106 1107 friend bool operator==(const normal_distribution& x, 1108 const normal_distribution& y); 1109 friend bool operator!=(const normal_distribution& x, 1110 const normal_distribution& y); 1111 1112 template <class charT, class traits> 1113 friend 1114 basic_ostream<charT, traits>& 1115 operator<<(basic_ostream<charT, traits>& os, 1116 const normal_distribution& x); 1117 1118 template <class charT, class traits> 1119 friend 1120 basic_istream<charT, traits>& 1121 operator>>(basic_istream<charT, traits>& is, 1122 normal_distribution& x); 1123}; 1124 1125template<class RealType = double> 1126class lognormal_distribution 1127{ 1128public: 1129 // types 1130 typedef RealType result_type; 1131 1132 class param_type 1133 { 1134 public: 1135 typedef lognormal_distribution distribution_type; 1136 1137 explicit param_type(result_type m = 0, result_type s = 1); 1138 1139 result_type m() const; 1140 result_type s() const; 1141 1142 friend bool operator==(const param_type& x, const param_type& y); 1143 friend bool operator!=(const param_type& x, const param_type& y); 1144 }; 1145 1146 // constructor and reset functions 1147 explicit lognormal_distribution(result_type m = 0, result_type s = 1); 1148 explicit lognormal_distribution(const param_type& parm); 1149 void reset(); 1150 1151 // generating functions 1152 template<class URNG> result_type operator()(URNG& g); 1153 template<class URNG> result_type operator()(URNG& g, const param_type& parm); 1154 1155 // property functions 1156 result_type m() const; 1157 result_type s() const; 1158 1159 param_type param() const; 1160 void param(const param_type& parm); 1161 1162 result_type min() const; 1163 result_type max() const; 1164 1165 friend bool operator==(const lognormal_distribution& x, 1166 const lognormal_distribution& y); 1167 friend bool operator!=(const lognormal_distribution& x, 1168 const lognormal_distribution& y); 1169 1170 template <class charT, class traits> 1171 friend 1172 basic_ostream<charT, traits>& 1173 operator<<(basic_ostream<charT, traits>& os, 1174 const lognormal_distribution& x); 1175 1176 template <class charT, class traits> 1177 friend 1178 basic_istream<charT, traits>& 1179 operator>>(basic_istream<charT, traits>& is, 1180 lognormal_distribution& x); 1181}; 1182 1183template<class RealType = double> 1184class chi_squared_distribution 1185{ 1186public: 1187 // types 1188 typedef RealType result_type; 1189 1190 class param_type 1191 { 1192 public: 1193 typedef chi_squared_distribution distribution_type; 1194 1195 explicit param_type(result_type n = 1); 1196 1197 result_type n() const; 1198 1199 friend bool operator==(const param_type& x, const param_type& y); 1200 friend bool operator!=(const param_type& x, const param_type& y); 1201 }; 1202 1203 // constructor and reset functions 1204 explicit chi_squared_distribution(result_type n = 1); 1205 explicit chi_squared_distribution(const param_type& parm); 1206 void reset(); 1207 1208 // generating functions 1209 template<class URNG> result_type operator()(URNG& g); 1210 template<class URNG> result_type operator()(URNG& g, const param_type& parm); 1211 1212 // property functions 1213 result_type n() const; 1214 1215 param_type param() const; 1216 void param(const param_type& parm); 1217 1218 result_type min() const; 1219 result_type max() const; 1220 1221 friend bool operator==(const chi_squared_distribution& x, 1222 const chi_squared_distribution& y); 1223 friend bool operator!=(const chi_squared_distribution& x, 1224 const chi_squared_distribution& y); 1225 1226 template <class charT, class traits> 1227 friend 1228 basic_ostream<charT, traits>& 1229 operator<<(basic_ostream<charT, traits>& os, 1230 const chi_squared_distribution& x); 1231 1232 template <class charT, class traits> 1233 friend 1234 basic_istream<charT, traits>& 1235 operator>>(basic_istream<charT, traits>& is, 1236 chi_squared_distribution& x); 1237}; 1238 1239template<class RealType = double> 1240class cauchy_distribution 1241{ 1242public: 1243 // types 1244 typedef RealType result_type; 1245 1246 class param_type 1247 { 1248 public: 1249 typedef cauchy_distribution distribution_type; 1250 1251 explicit param_type(result_type a = 0, result_type b = 1); 1252 1253 result_type a() const; 1254 result_type b() const; 1255 1256 friend bool operator==(const param_type& x, const param_type& y); 1257 friend bool operator!=(const param_type& x, const param_type& y); 1258 }; 1259 1260 // constructor and reset functions 1261 explicit cauchy_distribution(result_type a = 0, result_type b = 1); 1262 explicit cauchy_distribution(const param_type& parm); 1263 void reset(); 1264 1265 // generating functions 1266 template<class URNG> result_type operator()(URNG& g); 1267 template<class URNG> result_type operator()(URNG& g, const param_type& parm); 1268 1269 // property functions 1270 result_type a() const; 1271 result_type b() const; 1272 1273 param_type param() const; 1274 void param(const param_type& parm); 1275 1276 result_type min() const; 1277 result_type max() const; 1278 1279 friend bool operator==(const cauchy_distribution& x, 1280 const cauchy_distribution& y); 1281 friend bool operator!=(const cauchy_distribution& x, 1282 const cauchy_distribution& y); 1283 1284 template <class charT, class traits> 1285 friend 1286 basic_ostream<charT, traits>& 1287 operator<<(basic_ostream<charT, traits>& os, 1288 const cauchy_distribution& x); 1289 1290 template <class charT, class traits> 1291 friend 1292 basic_istream<charT, traits>& 1293 operator>>(basic_istream<charT, traits>& is, 1294 cauchy_distribution& x); 1295}; 1296 1297template<class RealType = double> 1298class fisher_f_distribution 1299{ 1300public: 1301 // types 1302 typedef RealType result_type; 1303 1304 class param_type 1305 { 1306 public: 1307 typedef fisher_f_distribution distribution_type; 1308 1309 explicit param_type(result_type m = 1, result_type n = 1); 1310 1311 result_type m() const; 1312 result_type n() const; 1313 1314 friend bool operator==(const param_type& x, const param_type& y); 1315 friend bool operator!=(const param_type& x, const param_type& y); 1316 }; 1317 1318 // constructor and reset functions 1319 explicit fisher_f_distribution(result_type m = 1, result_type n = 1); 1320 explicit fisher_f_distribution(const param_type& parm); 1321 void reset(); 1322 1323 // generating functions 1324 template<class URNG> result_type operator()(URNG& g); 1325 template<class URNG> result_type operator()(URNG& g, const param_type& parm); 1326 1327 // property functions 1328 result_type m() const; 1329 result_type n() const; 1330 1331 param_type param() const; 1332 void param(const param_type& parm); 1333 1334 result_type min() const; 1335 result_type max() const; 1336 1337 friend bool operator==(const fisher_f_distribution& x, 1338 const fisher_f_distribution& y); 1339 friend bool operator!=(const fisher_f_distribution& x, 1340 const fisher_f_distribution& y); 1341 1342 template <class charT, class traits> 1343 friend 1344 basic_ostream<charT, traits>& 1345 operator<<(basic_ostream<charT, traits>& os, 1346 const fisher_f_distribution& x); 1347 1348 template <class charT, class traits> 1349 friend 1350 basic_istream<charT, traits>& 1351 operator>>(basic_istream<charT, traits>& is, 1352 fisher_f_distribution& x); 1353}; 1354 1355template<class RealType = double> 1356class student_t_distribution 1357{ 1358public: 1359 // types 1360 typedef RealType result_type; 1361 1362 class param_type 1363 { 1364 public: 1365 typedef student_t_distribution distribution_type; 1366 1367 explicit param_type(result_type n = 1); 1368 1369 result_type n() const; 1370 1371 friend bool operator==(const param_type& x, const param_type& y); 1372 friend bool operator!=(const param_type& x, const param_type& y); 1373 }; 1374 1375 // constructor and reset functions 1376 explicit student_t_distribution(result_type n = 1); 1377 explicit student_t_distribution(const param_type& parm); 1378 void reset(); 1379 1380 // generating functions 1381 template<class URNG> result_type operator()(URNG& g); 1382 template<class URNG> result_type operator()(URNG& g, const param_type& parm); 1383 1384 // property functions 1385 result_type n() const; 1386 1387 param_type param() const; 1388 void param(const param_type& parm); 1389 1390 result_type min() const; 1391 result_type max() const; 1392 1393 friend bool operator==(const student_t_distribution& x, 1394 const student_t_distribution& y); 1395 friend bool operator!=(const student_t_distribution& x, 1396 const student_t_distribution& y); 1397 1398 template <class charT, class traits> 1399 friend 1400 basic_ostream<charT, traits>& 1401 operator<<(basic_ostream<charT, traits>& os, 1402 const student_t_distribution& x); 1403 1404 template <class charT, class traits> 1405 friend 1406 basic_istream<charT, traits>& 1407 operator>>(basic_istream<charT, traits>& is, 1408 student_t_distribution& x); 1409}; 1410 1411template<class IntType = int> 1412class discrete_distribution 1413{ 1414public: 1415 // types 1416 typedef IntType result_type; 1417 1418 class param_type 1419 { 1420 public: 1421 typedef discrete_distribution distribution_type; 1422 1423 param_type(); 1424 template<class InputIterator> 1425 param_type(InputIterator firstW, InputIterator lastW); 1426 param_type(initializer_list<double> wl); 1427 template<class UnaryOperation> 1428 param_type(size_t nw, double xmin, double xmax, UnaryOperation fw); 1429 1430 vector<double> probabilities() const; 1431 1432 friend bool operator==(const param_type& x, const param_type& y); 1433 friend bool operator!=(const param_type& x, const param_type& y); 1434 }; 1435 1436 // constructor and reset functions 1437 discrete_distribution(); 1438 template<class InputIterator> 1439 discrete_distribution(InputIterator firstW, InputIterator lastW); 1440 discrete_distribution(initializer_list<double> wl); 1441 template<class UnaryOperation> 1442 discrete_distribution(size_t nw, double xmin, double xmax, 1443 UnaryOperation fw); 1444 explicit discrete_distribution(const param_type& parm); 1445 void reset(); 1446 1447 // generating functions 1448 template<class URNG> result_type operator()(URNG& g); 1449 template<class URNG> result_type operator()(URNG& g, const param_type& parm); 1450 1451 // property functions 1452 vector<double> probabilities() const; 1453 1454 param_type param() const; 1455 void param(const param_type& parm); 1456 1457 result_type min() const; 1458 result_type max() const; 1459 1460 friend bool operator==(const discrete_distribution& x, 1461 const discrete_distribution& y); 1462 friend bool operator!=(const discrete_distribution& x, 1463 const discrete_distribution& y); 1464 1465 template <class charT, class traits> 1466 friend 1467 basic_ostream<charT, traits>& 1468 operator<<(basic_ostream<charT, traits>& os, 1469 const discrete_distribution& x); 1470 1471 template <class charT, class traits> 1472 friend 1473 basic_istream<charT, traits>& 1474 operator>>(basic_istream<charT, traits>& is, 1475 discrete_distribution& x); 1476}; 1477 1478template<class RealType = double> 1479class piecewise_constant_distribution 1480{ 1481 // types 1482 typedef RealType result_type; 1483 1484 class param_type 1485 { 1486 public: 1487 typedef piecewise_constant_distribution distribution_type; 1488 1489 param_type(); 1490 template<class InputIteratorB, class InputIteratorW> 1491 param_type(InputIteratorB firstB, InputIteratorB lastB, 1492 InputIteratorW firstW); 1493 template<class UnaryOperation> 1494 param_type(initializer_list<result_type> bl, UnaryOperation fw); 1495 template<class UnaryOperation> 1496 param_type(size_t nw, result_type xmin, result_type xmax, 1497 UnaryOperation fw); 1498 1499 vector<result_type> intervals() const; 1500 vector<result_type> densities() const; 1501 1502 friend bool operator==(const param_type& x, const param_type& y); 1503 friend bool operator!=(const param_type& x, const param_type& y); 1504 }; 1505 1506 // constructor and reset functions 1507 piecewise_constant_distribution(); 1508 template<class InputIteratorB, class InputIteratorW> 1509 piecewise_constant_distribution(InputIteratorB firstB, 1510 InputIteratorB lastB, 1511 InputIteratorW firstW); 1512 template<class UnaryOperation> 1513 piecewise_constant_distribution(initializer_list<result_type> bl, 1514 UnaryOperation fw); 1515 template<class UnaryOperation> 1516 piecewise_constant_distribution(size_t nw, result_type xmin, 1517 result_type xmax, UnaryOperation fw); 1518 explicit piecewise_constant_distribution(const param_type& parm); 1519 void reset(); 1520 1521 // generating functions 1522 template<class URNG> result_type operator()(URNG& g); 1523 template<class URNG> result_type operator()(URNG& g, const param_type& parm); 1524 1525 // property functions 1526 vector<result_type> intervals() const; 1527 vector<result_type> densities() const; 1528 1529 param_type param() const; 1530 void param(const param_type& parm); 1531 1532 result_type min() const; 1533 result_type max() const; 1534 1535 friend bool operator==(const piecewise_constant_distribution& x, 1536 const piecewise_constant_distribution& y); 1537 friend bool operator!=(const piecewise_constant_distribution& x, 1538 const piecewise_constant_distribution& y); 1539 1540 template <class charT, class traits> 1541 friend 1542 basic_ostream<charT, traits>& 1543 operator<<(basic_ostream<charT, traits>& os, 1544 const piecewise_constant_distribution& x); 1545 1546 template <class charT, class traits> 1547 friend 1548 basic_istream<charT, traits>& 1549 operator>>(basic_istream<charT, traits>& is, 1550 piecewise_constant_distribution& x); 1551}; 1552 1553template<class RealType = double> 1554class piecewise_linear_distribution 1555{ 1556 // types 1557 typedef RealType result_type; 1558 1559 class param_type 1560 { 1561 public: 1562 typedef piecewise_linear_distribution distribution_type; 1563 1564 param_type(); 1565 template<class InputIteratorB, class InputIteratorW> 1566 param_type(InputIteratorB firstB, InputIteratorB lastB, 1567 InputIteratorW firstW); 1568 template<class UnaryOperation> 1569 param_type(initializer_list<result_type> bl, UnaryOperation fw); 1570 template<class UnaryOperation> 1571 param_type(size_t nw, result_type xmin, result_type xmax, 1572 UnaryOperation fw); 1573 1574 vector<result_type> intervals() const; 1575 vector<result_type> densities() const; 1576 1577 friend bool operator==(const param_type& x, const param_type& y); 1578 friend bool operator!=(const param_type& x, const param_type& y); 1579 }; 1580 1581 // constructor and reset functions 1582 piecewise_linear_distribution(); 1583 template<class InputIteratorB, class InputIteratorW> 1584 piecewise_linear_distribution(InputIteratorB firstB, 1585 InputIteratorB lastB, 1586 InputIteratorW firstW); 1587 1588 template<class UnaryOperation> 1589 piecewise_linear_distribution(initializer_list<result_type> bl, 1590 UnaryOperation fw); 1591 1592 template<class UnaryOperation> 1593 piecewise_linear_distribution(size_t nw, result_type xmin, 1594 result_type xmax, UnaryOperation fw); 1595 1596 explicit piecewise_linear_distribution(const param_type& parm); 1597 void reset(); 1598 1599 // generating functions 1600 template<class URNG> result_type operator()(URNG& g); 1601 template<class URNG> result_type operator()(URNG& g, const param_type& parm); 1602 1603 // property functions 1604 vector<result_type> intervals() const; 1605 vector<result_type> densities() const; 1606 1607 param_type param() const; 1608 void param(const param_type& parm); 1609 1610 result_type min() const; 1611 result_type max() const; 1612 1613 friend bool operator==(const piecewise_linear_distribution& x, 1614 const piecewise_linear_distribution& y); 1615 friend bool operator!=(const piecewise_linear_distribution& x, 1616 const piecewise_linear_distribution& y); 1617 1618 template <class charT, class traits> 1619 friend 1620 basic_ostream<charT, traits>& 1621 operator<<(basic_ostream<charT, traits>& os, 1622 const piecewise_linear_distribution& x); 1623 1624 template <class charT, class traits> 1625 friend 1626 basic_istream<charT, traits>& 1627 operator>>(basic_istream<charT, traits>& is, 1628 piecewise_linear_distribution& x); 1629}; 1630 1631} // std 1632*/ 1633 1634#include <__config> 1635#include <cstddef> 1636#include <cstdint> 1637#include <cmath> 1638#include <type_traits> 1639#include <initializer_list> 1640#include <limits> 1641#include <algorithm> 1642#include <numeric> 1643#include <vector> 1644#include <string> 1645#include <istream> 1646#include <ostream> 1647 1648#if !defined(_LIBCPP_HAS_NO_PRAGMA_SYSTEM_HEADER) 1649#pragma GCC system_header 1650#endif 1651 1652_LIBCPP_PUSH_MACROS 1653#include <__undef_macros> 1654 1655 1656_LIBCPP_BEGIN_NAMESPACE_STD 1657 1658// __is_seed_sequence 1659 1660template <class _Sseq, class _Engine> 1661struct __is_seed_sequence 1662{ 1663 static _LIBCPP_CONSTEXPR const bool value = 1664 !is_convertible<_Sseq, typename _Engine::result_type>::value && 1665 !is_same<typename remove_cv<_Sseq>::type, _Engine>::value; 1666}; 1667 1668// linear_congruential_engine 1669 1670template <unsigned long long __a, unsigned long long __c, 1671 unsigned long long __m, unsigned long long _Mp, 1672 bool _MightOverflow = (__a != 0 && __m != 0 && __m-1 > (_Mp-__c)/__a)> 1673struct __lce_ta; 1674 1675// 64 1676 1677template <unsigned long long __a, unsigned long long __c, unsigned long long __m> 1678struct __lce_ta<__a, __c, __m, (unsigned long long)(~0), true> 1679{ 1680 typedef unsigned long long result_type; 1681 _LIBCPP_INLINE_VISIBILITY 1682 static result_type next(result_type __x) 1683 { 1684 // Schrage's algorithm 1685 const result_type __q = __m / __a; 1686 const result_type __r = __m % __a; 1687 const result_type __t0 = __a * (__x % __q); 1688 const result_type __t1 = __r * (__x / __q); 1689 __x = __t0 + (__t0 < __t1) * __m - __t1; 1690 __x += __c - (__x >= __m - __c) * __m; 1691 return __x; 1692 } 1693}; 1694 1695template <unsigned long long __a, unsigned long long __m> 1696struct __lce_ta<__a, 0, __m, (unsigned long long)(~0), true> 1697{ 1698 typedef unsigned long long result_type; 1699 _LIBCPP_INLINE_VISIBILITY 1700 static result_type next(result_type __x) 1701 { 1702 // Schrage's algorithm 1703 const result_type __q = __m / __a; 1704 const result_type __r = __m % __a; 1705 const result_type __t0 = __a * (__x % __q); 1706 const result_type __t1 = __r * (__x / __q); 1707 __x = __t0 + (__t0 < __t1) * __m - __t1; 1708 return __x; 1709 } 1710}; 1711 1712template <unsigned long long __a, unsigned long long __c, unsigned long long __m> 1713struct __lce_ta<__a, __c, __m, (unsigned long long)(~0), false> 1714{ 1715 typedef unsigned long long result_type; 1716 _LIBCPP_INLINE_VISIBILITY 1717 static result_type next(result_type __x) 1718 { 1719 return (__a * __x + __c) % __m; 1720 } 1721}; 1722 1723template <unsigned long long __a, unsigned long long __c> 1724struct __lce_ta<__a, __c, 0, (unsigned long long)(~0), false> 1725{ 1726 typedef unsigned long long result_type; 1727 _LIBCPP_INLINE_VISIBILITY 1728 static result_type next(result_type __x) 1729 { 1730 return __a * __x + __c; 1731 } 1732}; 1733 1734// 32 1735 1736template <unsigned long long _Ap, unsigned long long _Cp, unsigned long long _Mp> 1737struct __lce_ta<_Ap, _Cp, _Mp, unsigned(~0), true> 1738{ 1739 typedef unsigned result_type; 1740 _LIBCPP_INLINE_VISIBILITY 1741 static result_type next(result_type __x) 1742 { 1743 const result_type __a = static_cast<result_type>(_Ap); 1744 const result_type __c = static_cast<result_type>(_Cp); 1745 const result_type __m = static_cast<result_type>(_Mp); 1746 // Schrage's algorithm 1747 const result_type __q = __m / __a; 1748 const result_type __r = __m % __a; 1749 const result_type __t0 = __a * (__x % __q); 1750 const result_type __t1 = __r * (__x / __q); 1751 __x = __t0 + (__t0 < __t1) * __m - __t1; 1752 __x += __c - (__x >= __m - __c) * __m; 1753 return __x; 1754 } 1755}; 1756 1757template <unsigned long long _Ap, unsigned long long _Mp> 1758struct __lce_ta<_Ap, 0, _Mp, unsigned(~0), true> 1759{ 1760 typedef unsigned result_type; 1761 _LIBCPP_INLINE_VISIBILITY 1762 static result_type next(result_type __x) 1763 { 1764 const result_type __a = static_cast<result_type>(_Ap); 1765 const result_type __m = static_cast<result_type>(_Mp); 1766 // Schrage's algorithm 1767 const result_type __q = __m / __a; 1768 const result_type __r = __m % __a; 1769 const result_type __t0 = __a * (__x % __q); 1770 const result_type __t1 = __r * (__x / __q); 1771 __x = __t0 + (__t0 < __t1) * __m - __t1; 1772 return __x; 1773 } 1774}; 1775 1776template <unsigned long long _Ap, unsigned long long _Cp, unsigned long long _Mp> 1777struct __lce_ta<_Ap, _Cp, _Mp, unsigned(~0), false> 1778{ 1779 typedef unsigned result_type; 1780 _LIBCPP_INLINE_VISIBILITY 1781 static result_type next(result_type __x) 1782 { 1783 const result_type __a = static_cast<result_type>(_Ap); 1784 const result_type __c = static_cast<result_type>(_Cp); 1785 const result_type __m = static_cast<result_type>(_Mp); 1786 return (__a * __x + __c) % __m; 1787 } 1788}; 1789 1790template <unsigned long long _Ap, unsigned long long _Cp> 1791struct __lce_ta<_Ap, _Cp, 0, unsigned(~0), false> 1792{ 1793 typedef unsigned result_type; 1794 _LIBCPP_INLINE_VISIBILITY 1795 static result_type next(result_type __x) 1796 { 1797 const result_type __a = static_cast<result_type>(_Ap); 1798 const result_type __c = static_cast<result_type>(_Cp); 1799 return __a * __x + __c; 1800 } 1801}; 1802 1803// 16 1804 1805template <unsigned long long __a, unsigned long long __c, unsigned long long __m, bool __b> 1806struct __lce_ta<__a, __c, __m, (unsigned short)(~0), __b> 1807{ 1808 typedef unsigned short result_type; 1809 _LIBCPP_INLINE_VISIBILITY 1810 static result_type next(result_type __x) 1811 { 1812 return static_cast<result_type>(__lce_ta<__a, __c, __m, unsigned(~0)>::next(__x)); 1813 } 1814}; 1815 1816template <class _UIntType, _UIntType __a, _UIntType __c, _UIntType __m> 1817class _LIBCPP_TEMPLATE_VIS linear_congruential_engine; 1818 1819template <class _CharT, class _Traits, 1820 class _Up, _Up _Ap, _Up _Cp, _Up _Np> 1821_LIBCPP_INLINE_VISIBILITY 1822basic_ostream<_CharT, _Traits>& 1823operator<<(basic_ostream<_CharT, _Traits>& __os, 1824 const linear_congruential_engine<_Up, _Ap, _Cp, _Np>&); 1825 1826template <class _CharT, class _Traits, 1827 class _Up, _Up _Ap, _Up _Cp, _Up _Np> 1828basic_istream<_CharT, _Traits>& 1829operator>>(basic_istream<_CharT, _Traits>& __is, 1830 linear_congruential_engine<_Up, _Ap, _Cp, _Np>& __x); 1831 1832template <class _UIntType, _UIntType __a, _UIntType __c, _UIntType __m> 1833class _LIBCPP_TEMPLATE_VIS linear_congruential_engine 1834{ 1835public: 1836 // types 1837 typedef _UIntType result_type; 1838 1839private: 1840 result_type __x_; 1841 1842 static _LIBCPP_CONSTEXPR const result_type _Mp = result_type(~0); 1843 1844 static_assert(__m == 0 || __a < __m, "linear_congruential_engine invalid parameters"); 1845 static_assert(__m == 0 || __c < __m, "linear_congruential_engine invalid parameters"); 1846public: 1847 static _LIBCPP_CONSTEXPR const result_type _Min = __c == 0u ? 1u: 0u; 1848 static _LIBCPP_CONSTEXPR const result_type _Max = __m - 1u; 1849 static_assert(_Min < _Max, "linear_congruential_engine invalid parameters"); 1850 1851 // engine characteristics 1852 static _LIBCPP_CONSTEXPR const result_type multiplier = __a; 1853 static _LIBCPP_CONSTEXPR const result_type increment = __c; 1854 static _LIBCPP_CONSTEXPR const result_type modulus = __m; 1855 _LIBCPP_INLINE_VISIBILITY 1856 static _LIBCPP_CONSTEXPR result_type min() {return _Min;} 1857 _LIBCPP_INLINE_VISIBILITY 1858 static _LIBCPP_CONSTEXPR result_type max() {return _Max;} 1859 static _LIBCPP_CONSTEXPR const result_type default_seed = 1u; 1860 1861 // constructors and seeding functions 1862 _LIBCPP_INLINE_VISIBILITY 1863 explicit linear_congruential_engine(result_type __s = default_seed) 1864 {seed(__s);} 1865 template<class _Sseq> 1866 _LIBCPP_INLINE_VISIBILITY 1867 explicit linear_congruential_engine(_Sseq& __q, 1868 typename enable_if<__is_seed_sequence<_Sseq, linear_congruential_engine>::value>::type* = 0) 1869 {seed(__q);} 1870 _LIBCPP_INLINE_VISIBILITY 1871 void seed(result_type __s = default_seed) 1872 {seed(integral_constant<bool, __m == 0>(), 1873 integral_constant<bool, __c == 0>(), __s);} 1874 template<class _Sseq> 1875 _LIBCPP_INLINE_VISIBILITY 1876 typename enable_if 1877 < 1878 __is_seed_sequence<_Sseq, linear_congruential_engine>::value, 1879 void 1880 >::type 1881 seed(_Sseq& __q) 1882 {__seed(__q, integral_constant<unsigned, 1883 1 + (__m == 0 ? (sizeof(result_type) * __CHAR_BIT__ - 1)/32 1884 : (__m > 0x100000000ull))>());} 1885 1886 // generating functions 1887 _LIBCPP_INLINE_VISIBILITY 1888 result_type operator()() 1889 {return __x_ = static_cast<result_type>(__lce_ta<__a, __c, __m, _Mp>::next(__x_));} 1890 _LIBCPP_INLINE_VISIBILITY 1891 void discard(unsigned long long __z) {for (; __z; --__z) operator()();} 1892 1893 friend _LIBCPP_INLINE_VISIBILITY 1894 bool operator==(const linear_congruential_engine& __x, 1895 const linear_congruential_engine& __y) 1896 {return __x.__x_ == __y.__x_;} 1897 friend _LIBCPP_INLINE_VISIBILITY 1898 bool operator!=(const linear_congruential_engine& __x, 1899 const linear_congruential_engine& __y) 1900 {return !(__x == __y);} 1901 1902private: 1903 1904 _LIBCPP_INLINE_VISIBILITY 1905 void seed(true_type, true_type, result_type __s) {__x_ = __s == 0 ? 1 : __s;} 1906 _LIBCPP_INLINE_VISIBILITY 1907 void seed(true_type, false_type, result_type __s) {__x_ = __s;} 1908 _LIBCPP_INLINE_VISIBILITY 1909 void seed(false_type, true_type, result_type __s) {__x_ = __s % __m == 0 ? 1910 1 : __s % __m;} 1911 _LIBCPP_INLINE_VISIBILITY 1912 void seed(false_type, false_type, result_type __s) {__x_ = __s % __m;} 1913 1914 template<class _Sseq> 1915 void __seed(_Sseq& __q, integral_constant<unsigned, 1>); 1916 template<class _Sseq> 1917 void __seed(_Sseq& __q, integral_constant<unsigned, 2>); 1918 1919 template <class _CharT, class _Traits, 1920 class _Up, _Up _Ap, _Up _Cp, _Up _Np> 1921 friend 1922 basic_ostream<_CharT, _Traits>& 1923 operator<<(basic_ostream<_CharT, _Traits>& __os, 1924 const linear_congruential_engine<_Up, _Ap, _Cp, _Np>&); 1925 1926 template <class _CharT, class _Traits, 1927 class _Up, _Up _Ap, _Up _Cp, _Up _Np> 1928 friend 1929 basic_istream<_CharT, _Traits>& 1930 operator>>(basic_istream<_CharT, _Traits>& __is, 1931 linear_congruential_engine<_Up, _Ap, _Cp, _Np>& __x); 1932}; 1933 1934template <class _UIntType, _UIntType __a, _UIntType __c, _UIntType __m> 1935 _LIBCPP_CONSTEXPR const typename linear_congruential_engine<_UIntType, __a, __c, __m>::result_type 1936 linear_congruential_engine<_UIntType, __a, __c, __m>::multiplier; 1937 1938template <class _UIntType, _UIntType __a, _UIntType __c, _UIntType __m> 1939 _LIBCPP_CONSTEXPR const typename linear_congruential_engine<_UIntType, __a, __c, __m>::result_type 1940 linear_congruential_engine<_UIntType, __a, __c, __m>::increment; 1941 1942template <class _UIntType, _UIntType __a, _UIntType __c, _UIntType __m> 1943 _LIBCPP_CONSTEXPR const typename linear_congruential_engine<_UIntType, __a, __c, __m>::result_type 1944 linear_congruential_engine<_UIntType, __a, __c, __m>::modulus; 1945 1946template <class _UIntType, _UIntType __a, _UIntType __c, _UIntType __m> 1947 _LIBCPP_CONSTEXPR const typename linear_congruential_engine<_UIntType, __a, __c, __m>::result_type 1948 linear_congruential_engine<_UIntType, __a, __c, __m>::default_seed; 1949 1950template <class _UIntType, _UIntType __a, _UIntType __c, _UIntType __m> 1951template<class _Sseq> 1952void 1953linear_congruential_engine<_UIntType, __a, __c, __m>::__seed(_Sseq& __q, 1954 integral_constant<unsigned, 1>) 1955{ 1956 const unsigned __k = 1; 1957 uint32_t __ar[__k+3]; 1958 __q.generate(__ar, __ar + __k + 3); 1959 result_type __s = static_cast<result_type>(__ar[3] % __m); 1960 __x_ = __c == 0 && __s == 0 ? result_type(1) : __s; 1961} 1962 1963template <class _UIntType, _UIntType __a, _UIntType __c, _UIntType __m> 1964template<class _Sseq> 1965void 1966linear_congruential_engine<_UIntType, __a, __c, __m>::__seed(_Sseq& __q, 1967 integral_constant<unsigned, 2>) 1968{ 1969 const unsigned __k = 2; 1970 uint32_t __ar[__k+3]; 1971 __q.generate(__ar, __ar + __k + 3); 1972 result_type __s = static_cast<result_type>((__ar[3] + 1973 ((uint64_t)__ar[4] << 32)) % __m); 1974 __x_ = __c == 0 && __s == 0 ? result_type(1) : __s; 1975} 1976 1977template <class _CharT, class _Traits, 1978 class _UIntType, _UIntType __a, _UIntType __c, _UIntType __m> 1979inline _LIBCPP_INLINE_VISIBILITY 1980basic_ostream<_CharT, _Traits>& 1981operator<<(basic_ostream<_CharT, _Traits>& __os, 1982 const linear_congruential_engine<_UIntType, __a, __c, __m>& __x) 1983{ 1984 __save_flags<_CharT, _Traits> __lx(__os); 1985 __os.flags(ios_base::dec | ios_base::left); 1986 __os.fill(__os.widen(' ')); 1987 return __os << __x.__x_; 1988} 1989 1990template <class _CharT, class _Traits, 1991 class _UIntType, _UIntType __a, _UIntType __c, _UIntType __m> 1992basic_istream<_CharT, _Traits>& 1993operator>>(basic_istream<_CharT, _Traits>& __is, 1994 linear_congruential_engine<_UIntType, __a, __c, __m>& __x) 1995{ 1996 __save_flags<_CharT, _Traits> __lx(__is); 1997 __is.flags(ios_base::dec | ios_base::skipws); 1998 _UIntType __t; 1999 __is >> __t; 2000 if (!__is.fail()) 2001 __x.__x_ = __t; 2002 return __is; 2003} 2004 2005typedef linear_congruential_engine<uint_fast32_t, 16807, 0, 2147483647> 2006 minstd_rand0; 2007typedef linear_congruential_engine<uint_fast32_t, 48271, 0, 2147483647> 2008 minstd_rand; 2009typedef minstd_rand default_random_engine; 2010// mersenne_twister_engine 2011 2012template <class _UIntType, size_t __w, size_t __n, size_t __m, size_t __r, 2013 _UIntType __a, size_t __u, _UIntType __d, size_t __s, 2014 _UIntType __b, size_t __t, _UIntType __c, size_t __l, _UIntType __f> 2015class _LIBCPP_TEMPLATE_VIS mersenne_twister_engine; 2016 2017template <class _UInt, size_t _Wp, size_t _Np, size_t _Mp, size_t _Rp, 2018 _UInt _Ap, size_t _Up, _UInt _Dp, size_t _Sp, 2019 _UInt _Bp, size_t _Tp, _UInt _Cp, size_t _Lp, _UInt _Fp> 2020bool 2021operator==(const mersenne_twister_engine<_UInt, _Wp, _Np, _Mp, _Rp, _Ap, _Up, _Dp, _Sp, 2022 _Bp, _Tp, _Cp, _Lp, _Fp>& __x, 2023 const mersenne_twister_engine<_UInt, _Wp, _Np, _Mp, _Rp, _Ap, _Up, _Dp, _Sp, 2024 _Bp, _Tp, _Cp, _Lp, _Fp>& __y); 2025 2026template <class _UInt, size_t _Wp, size_t _Np, size_t _Mp, size_t _Rp, 2027 _UInt _Ap, size_t _Up, _UInt _Dp, size_t _Sp, 2028 _UInt _Bp, size_t _Tp, _UInt _Cp, size_t _Lp, _UInt _Fp> 2029_LIBCPP_INLINE_VISIBILITY 2030bool 2031operator!=(const mersenne_twister_engine<_UInt, _Wp, _Np, _Mp, _Rp, _Ap, _Up, _Dp, _Sp, 2032 _Bp, _Tp, _Cp, _Lp, _Fp>& __x, 2033 const mersenne_twister_engine<_UInt, _Wp, _Np, _Mp, _Rp, _Ap, _Up, _Dp, _Sp, 2034 _Bp, _Tp, _Cp, _Lp, _Fp>& __y); 2035 2036template <class _CharT, class _Traits, 2037 class _UInt, size_t _Wp, size_t _Np, size_t _Mp, size_t _Rp, 2038 _UInt _Ap, size_t _Up, _UInt _Dp, size_t _Sp, 2039 _UInt _Bp, size_t _Tp, _UInt _Cp, size_t _Lp, _UInt _Fp> 2040basic_ostream<_CharT, _Traits>& 2041operator<<(basic_ostream<_CharT, _Traits>& __os, 2042 const mersenne_twister_engine<_UInt, _Wp, _Np, _Mp, _Rp, _Ap, _Up, _Dp, _Sp, 2043 _Bp, _Tp, _Cp, _Lp, _Fp>& __x); 2044 2045template <class _CharT, class _Traits, 2046 class _UInt, size_t _Wp, size_t _Np, size_t _Mp, size_t _Rp, 2047 _UInt _Ap, size_t _Up, _UInt _Dp, size_t _Sp, 2048 _UInt _Bp, size_t _Tp, _UInt _Cp, size_t _Lp, _UInt _Fp> 2049basic_istream<_CharT, _Traits>& 2050operator>>(basic_istream<_CharT, _Traits>& __is, 2051 mersenne_twister_engine<_UInt, _Wp, _Np, _Mp, _Rp, _Ap, _Up, _Dp, _Sp, 2052 _Bp, _Tp, _Cp, _Lp, _Fp>& __x); 2053 2054template <class _UIntType, size_t __w, size_t __n, size_t __m, size_t __r, 2055 _UIntType __a, size_t __u, _UIntType __d, size_t __s, 2056 _UIntType __b, size_t __t, _UIntType __c, size_t __l, _UIntType __f> 2057class _LIBCPP_TEMPLATE_VIS mersenne_twister_engine 2058{ 2059public: 2060 // types 2061 typedef _UIntType result_type; 2062 2063private: 2064 result_type __x_[__n]; 2065 size_t __i_; 2066 2067 static_assert( 0 < __m, "mersenne_twister_engine invalid parameters"); 2068 static_assert(__m <= __n, "mersenne_twister_engine invalid parameters"); 2069 static _LIBCPP_CONSTEXPR const result_type _Dt = numeric_limits<result_type>::digits; 2070 static_assert(__w <= _Dt, "mersenne_twister_engine invalid parameters"); 2071 static_assert( 2 <= __w, "mersenne_twister_engine invalid parameters"); 2072 static_assert(__r <= __w, "mersenne_twister_engine invalid parameters"); 2073 static_assert(__u <= __w, "mersenne_twister_engine invalid parameters"); 2074 static_assert(__s <= __w, "mersenne_twister_engine invalid parameters"); 2075 static_assert(__t <= __w, "mersenne_twister_engine invalid parameters"); 2076 static_assert(__l <= __w, "mersenne_twister_engine invalid parameters"); 2077public: 2078 static _LIBCPP_CONSTEXPR const result_type _Min = 0; 2079 static _LIBCPP_CONSTEXPR const result_type _Max = __w == _Dt ? result_type(~0) : 2080 (result_type(1) << __w) - result_type(1); 2081 static_assert(_Min < _Max, "mersenne_twister_engine invalid parameters"); 2082 static_assert(__a <= _Max, "mersenne_twister_engine invalid parameters"); 2083 static_assert(__b <= _Max, "mersenne_twister_engine invalid parameters"); 2084 static_assert(__c <= _Max, "mersenne_twister_engine invalid parameters"); 2085 static_assert(__d <= _Max, "mersenne_twister_engine invalid parameters"); 2086 static_assert(__f <= _Max, "mersenne_twister_engine invalid parameters"); 2087 2088 // engine characteristics 2089 static _LIBCPP_CONSTEXPR const size_t word_size = __w; 2090 static _LIBCPP_CONSTEXPR const size_t state_size = __n; 2091 static _LIBCPP_CONSTEXPR const size_t shift_size = __m; 2092 static _LIBCPP_CONSTEXPR const size_t mask_bits = __r; 2093 static _LIBCPP_CONSTEXPR const result_type xor_mask = __a; 2094 static _LIBCPP_CONSTEXPR const size_t tempering_u = __u; 2095 static _LIBCPP_CONSTEXPR const result_type tempering_d = __d; 2096 static _LIBCPP_CONSTEXPR const size_t tempering_s = __s; 2097 static _LIBCPP_CONSTEXPR const result_type tempering_b = __b; 2098 static _LIBCPP_CONSTEXPR const size_t tempering_t = __t; 2099 static _LIBCPP_CONSTEXPR const result_type tempering_c = __c; 2100 static _LIBCPP_CONSTEXPR const size_t tempering_l = __l; 2101 static _LIBCPP_CONSTEXPR const result_type initialization_multiplier = __f; 2102 _LIBCPP_INLINE_VISIBILITY 2103 static _LIBCPP_CONSTEXPR result_type min() { return _Min; } 2104 _LIBCPP_INLINE_VISIBILITY 2105 static _LIBCPP_CONSTEXPR result_type max() { return _Max; } 2106 static _LIBCPP_CONSTEXPR const result_type default_seed = 5489u; 2107 2108 // constructors and seeding functions 2109 _LIBCPP_INLINE_VISIBILITY 2110 explicit mersenne_twister_engine(result_type __sd = default_seed) 2111 {seed(__sd);} 2112 template<class _Sseq> 2113 _LIBCPP_INLINE_VISIBILITY 2114 explicit mersenne_twister_engine(_Sseq& __q, 2115 typename enable_if<__is_seed_sequence<_Sseq, mersenne_twister_engine>::value>::type* = 0) 2116 {seed(__q);} 2117 void seed(result_type __sd = default_seed); 2118 template<class _Sseq> 2119 _LIBCPP_INLINE_VISIBILITY 2120 typename enable_if 2121 < 2122 __is_seed_sequence<_Sseq, mersenne_twister_engine>::value, 2123 void 2124 >::type 2125 seed(_Sseq& __q) 2126 {__seed(__q, integral_constant<unsigned, 1 + (__w - 1) / 32>());} 2127 2128 // generating functions 2129 result_type operator()(); 2130 _LIBCPP_INLINE_VISIBILITY 2131 void discard(unsigned long long __z) {for (; __z; --__z) operator()();} 2132 2133 template <class _UInt, size_t _Wp, size_t _Np, size_t _Mp, size_t _Rp, 2134 _UInt _Ap, size_t _Up, _UInt _Dp, size_t _Sp, 2135 _UInt _Bp, size_t _Tp, _UInt _Cp, size_t _Lp, _UInt _Fp> 2136 friend 2137 bool 2138 operator==(const mersenne_twister_engine<_UInt, _Wp, _Np, _Mp, _Rp, _Ap, _Up, _Dp, _Sp, 2139 _Bp, _Tp, _Cp, _Lp, _Fp>& __x, 2140 const mersenne_twister_engine<_UInt, _Wp, _Np, _Mp, _Rp, _Ap, _Up, _Dp, _Sp, 2141 _Bp, _Tp, _Cp, _Lp, _Fp>& __y); 2142 2143 template <class _UInt, size_t _Wp, size_t _Np, size_t _Mp, size_t _Rp, 2144 _UInt _Ap, size_t _Up, _UInt _Dp, size_t _Sp, 2145 _UInt _Bp, size_t _Tp, _UInt _Cp, size_t _Lp, _UInt _Fp> 2146 friend 2147 bool 2148 operator!=(const mersenne_twister_engine<_UInt, _Wp, _Np, _Mp, _Rp, _Ap, _Up, _Dp, _Sp, 2149 _Bp, _Tp, _Cp, _Lp, _Fp>& __x, 2150 const mersenne_twister_engine<_UInt, _Wp, _Np, _Mp, _Rp, _Ap, _Up, _Dp, _Sp, 2151 _Bp, _Tp, _Cp, _Lp, _Fp>& __y); 2152 2153 template <class _CharT, class _Traits, 2154 class _UInt, size_t _Wp, size_t _Np, size_t _Mp, size_t _Rp, 2155 _UInt _Ap, size_t _Up, _UInt _Dp, size_t _Sp, 2156 _UInt _Bp, size_t _Tp, _UInt _Cp, size_t _Lp, _UInt _Fp> 2157 friend 2158 basic_ostream<_CharT, _Traits>& 2159 operator<<(basic_ostream<_CharT, _Traits>& __os, 2160 const mersenne_twister_engine<_UInt, _Wp, _Np, _Mp, _Rp, _Ap, _Up, _Dp, _Sp, 2161 _Bp, _Tp, _Cp, _Lp, _Fp>& __x); 2162 2163 template <class _CharT, class _Traits, 2164 class _UInt, size_t _Wp, size_t _Np, size_t _Mp, size_t _Rp, 2165 _UInt _Ap, size_t _Up, _UInt _Dp, size_t _Sp, 2166 _UInt _Bp, size_t _Tp, _UInt _Cp, size_t _Lp, _UInt _Fp> 2167 friend 2168 basic_istream<_CharT, _Traits>& 2169 operator>>(basic_istream<_CharT, _Traits>& __is, 2170 mersenne_twister_engine<_UInt, _Wp, _Np, _Mp, _Rp, _Ap, _Up, _Dp, _Sp, 2171 _Bp, _Tp, _Cp, _Lp, _Fp>& __x); 2172private: 2173 2174 template<class _Sseq> 2175 void __seed(_Sseq& __q, integral_constant<unsigned, 1>); 2176 template<class _Sseq> 2177 void __seed(_Sseq& __q, integral_constant<unsigned, 2>); 2178 2179 template <size_t __count> 2180 _LIBCPP_INLINE_VISIBILITY 2181 static 2182 typename enable_if 2183 < 2184 __count < __w, 2185 result_type 2186 >::type 2187 __lshift(result_type __x) {return (__x << __count) & _Max;} 2188 2189 template <size_t __count> 2190 _LIBCPP_INLINE_VISIBILITY 2191 static 2192 typename enable_if 2193 < 2194 (__count >= __w), 2195 result_type 2196 >::type 2197 __lshift(result_type) {return result_type(0);} 2198 2199 template <size_t __count> 2200 _LIBCPP_INLINE_VISIBILITY 2201 static 2202 typename enable_if 2203 < 2204 __count < _Dt, 2205 result_type 2206 >::type 2207 __rshift(result_type __x) {return __x >> __count;} 2208 2209 template <size_t __count> 2210 _LIBCPP_INLINE_VISIBILITY 2211 static 2212 typename enable_if 2213 < 2214 (__count >= _Dt), 2215 result_type 2216 >::type 2217 __rshift(result_type) {return result_type(0);} 2218}; 2219 2220template <class _UIntType, size_t __w, size_t __n, size_t __m, size_t __r, 2221 _UIntType __a, size_t __u, _UIntType __d, size_t __s, 2222 _UIntType __b, size_t __t, _UIntType __c, size_t __l, _UIntType __f> 2223 _LIBCPP_CONSTEXPR const size_t 2224 mersenne_twister_engine<_UIntType, __w, __n, __m, __r, __a, __u, __d, __s, __b, __t, __c, __l, __f>::word_size; 2225 2226template <class _UIntType, size_t __w, size_t __n, size_t __m, size_t __r, 2227 _UIntType __a, size_t __u, _UIntType __d, size_t __s, 2228 _UIntType __b, size_t __t, _UIntType __c, size_t __l, _UIntType __f> 2229 _LIBCPP_CONSTEXPR const size_t 2230 mersenne_twister_engine<_UIntType, __w, __n, __m, __r, __a, __u, __d, __s, __b, __t, __c, __l, __f>::state_size; 2231 2232template <class _UIntType, size_t __w, size_t __n, size_t __m, size_t __r, 2233 _UIntType __a, size_t __u, _UIntType __d, size_t __s, 2234 _UIntType __b, size_t __t, _UIntType __c, size_t __l, _UIntType __f> 2235 _LIBCPP_CONSTEXPR const size_t 2236 mersenne_twister_engine<_UIntType, __w, __n, __m, __r, __a, __u, __d, __s, __b, __t, __c, __l, __f>::shift_size; 2237 2238template <class _UIntType, size_t __w, size_t __n, size_t __m, size_t __r, 2239 _UIntType __a, size_t __u, _UIntType __d, size_t __s, 2240 _UIntType __b, size_t __t, _UIntType __c, size_t __l, _UIntType __f> 2241 _LIBCPP_CONSTEXPR const size_t 2242 mersenne_twister_engine<_UIntType, __w, __n, __m, __r, __a, __u, __d, __s, __b, __t, __c, __l, __f>::mask_bits; 2243 2244template <class _UIntType, size_t __w, size_t __n, size_t __m, size_t __r, 2245 _UIntType __a, size_t __u, _UIntType __d, size_t __s, 2246 _UIntType __b, size_t __t, _UIntType __c, size_t __l, _UIntType __f> 2247 _LIBCPP_CONSTEXPR const typename mersenne_twister_engine<_UIntType, __w, __n, __m, __r, __a, __u, __d, __s, __b, __t, __c, __l, __f>::result_type 2248 mersenne_twister_engine<_UIntType, __w, __n, __m, __r, __a, __u, __d, __s, __b, __t, __c, __l, __f>::xor_mask; 2249 2250template <class _UIntType, size_t __w, size_t __n, size_t __m, size_t __r, 2251 _UIntType __a, size_t __u, _UIntType __d, size_t __s, 2252 _UIntType __b, size_t __t, _UIntType __c, size_t __l, _UIntType __f> 2253 _LIBCPP_CONSTEXPR const size_t 2254 mersenne_twister_engine<_UIntType, __w, __n, __m, __r, __a, __u, __d, __s, __b, __t, __c, __l, __f>::tempering_u; 2255 2256template <class _UIntType, size_t __w, size_t __n, size_t __m, size_t __r, 2257 _UIntType __a, size_t __u, _UIntType __d, size_t __s, 2258 _UIntType __b, size_t __t, _UIntType __c, size_t __l, _UIntType __f> 2259 _LIBCPP_CONSTEXPR const typename mersenne_twister_engine<_UIntType, __w, __n, __m, __r, __a, __u, __d, __s, __b, __t, __c, __l, __f>::result_type 2260 mersenne_twister_engine<_UIntType, __w, __n, __m, __r, __a, __u, __d, __s, __b, __t, __c, __l, __f>::tempering_d; 2261 2262template <class _UIntType, size_t __w, size_t __n, size_t __m, size_t __r, 2263 _UIntType __a, size_t __u, _UIntType __d, size_t __s, 2264 _UIntType __b, size_t __t, _UIntType __c, size_t __l, _UIntType __f> 2265 _LIBCPP_CONSTEXPR const size_t 2266 mersenne_twister_engine<_UIntType, __w, __n, __m, __r, __a, __u, __d, __s, __b, __t, __c, __l, __f>::tempering_s; 2267 2268template <class _UIntType, size_t __w, size_t __n, size_t __m, size_t __r, 2269 _UIntType __a, size_t __u, _UIntType __d, size_t __s, 2270 _UIntType __b, size_t __t, _UIntType __c, size_t __l, _UIntType __f> 2271 _LIBCPP_CONSTEXPR const typename mersenne_twister_engine<_UIntType, __w, __n, __m, __r, __a, __u, __d, __s, __b, __t, __c, __l, __f>::result_type 2272 mersenne_twister_engine<_UIntType, __w, __n, __m, __r, __a, __u, __d, __s, __b, __t, __c, __l, __f>::tempering_b; 2273 2274template <class _UIntType, size_t __w, size_t __n, size_t __m, size_t __r, 2275 _UIntType __a, size_t __u, _UIntType __d, size_t __s, 2276 _UIntType __b, size_t __t, _UIntType __c, size_t __l, _UIntType __f> 2277 _LIBCPP_CONSTEXPR const size_t 2278 mersenne_twister_engine<_UIntType, __w, __n, __m, __r, __a, __u, __d, __s, __b, __t, __c, __l, __f>::tempering_t; 2279 2280template <class _UIntType, size_t __w, size_t __n, size_t __m, size_t __r, 2281 _UIntType __a, size_t __u, _UIntType __d, size_t __s, 2282 _UIntType __b, size_t __t, _UIntType __c, size_t __l, _UIntType __f> 2283 _LIBCPP_CONSTEXPR const typename mersenne_twister_engine<_UIntType, __w, __n, __m, __r, __a, __u, __d, __s, __b, __t, __c, __l, __f>::result_type 2284 mersenne_twister_engine<_UIntType, __w, __n, __m, __r, __a, __u, __d, __s, __b, __t, __c, __l, __f>::tempering_c; 2285 2286template <class _UIntType, size_t __w, size_t __n, size_t __m, size_t __r, 2287 _UIntType __a, size_t __u, _UIntType __d, size_t __s, 2288 _UIntType __b, size_t __t, _UIntType __c, size_t __l, _UIntType __f> 2289 _LIBCPP_CONSTEXPR const size_t 2290 mersenne_twister_engine<_UIntType, __w, __n, __m, __r, __a, __u, __d, __s, __b, __t, __c, __l, __f>::tempering_l; 2291 2292template <class _UIntType, size_t __w, size_t __n, size_t __m, size_t __r, 2293 _UIntType __a, size_t __u, _UIntType __d, size_t __s, 2294 _UIntType __b, size_t __t, _UIntType __c, size_t __l, _UIntType __f> 2295 _LIBCPP_CONSTEXPR const typename mersenne_twister_engine<_UIntType, __w, __n, __m, __r, __a, __u, __d, __s, __b, __t, __c, __l, __f>::result_type 2296 mersenne_twister_engine<_UIntType, __w, __n, __m, __r, __a, __u, __d, __s, __b, __t, __c, __l, __f>::initialization_multiplier; 2297 2298template <class _UIntType, size_t __w, size_t __n, size_t __m, size_t __r, 2299 _UIntType __a, size_t __u, _UIntType __d, size_t __s, 2300 _UIntType __b, size_t __t, _UIntType __c, size_t __l, _UIntType __f> 2301 _LIBCPP_CONSTEXPR const typename mersenne_twister_engine<_UIntType, __w, __n, __m, __r, __a, __u, __d, __s, __b, __t, __c, __l, __f>::result_type 2302 mersenne_twister_engine<_UIntType, __w, __n, __m, __r, __a, __u, __d, __s, __b, __t, __c, __l, __f>::default_seed; 2303 2304template <class _UIntType, size_t __w, size_t __n, size_t __m, size_t __r, 2305 _UIntType __a, size_t __u, _UIntType __d, size_t __s, 2306 _UIntType __b, size_t __t, _UIntType __c, size_t __l, _UIntType __f> 2307void 2308mersenne_twister_engine<_UIntType, __w, __n, __m, __r, __a, __u, __d, __s, __b, 2309 __t, __c, __l, __f>::seed(result_type __sd) 2310 _LIBCPP_DISABLE_UBSAN_UNSIGNED_INTEGER_CHECK 2311{ // __w >= 2 2312 __x_[0] = __sd & _Max; 2313 for (size_t __i = 1; __i < __n; ++__i) 2314 __x_[__i] = (__f * (__x_[__i-1] ^ __rshift<__w - 2>(__x_[__i-1])) + __i) & _Max; 2315 __i_ = 0; 2316} 2317 2318template <class _UIntType, size_t __w, size_t __n, size_t __m, size_t __r, 2319 _UIntType __a, size_t __u, _UIntType __d, size_t __s, 2320 _UIntType __b, size_t __t, _UIntType __c, size_t __l, _UIntType __f> 2321template<class _Sseq> 2322void 2323mersenne_twister_engine<_UIntType, __w, __n, __m, __r, __a, __u, __d, __s, __b, 2324 __t, __c, __l, __f>::__seed(_Sseq& __q, integral_constant<unsigned, 1>) 2325{ 2326 const unsigned __k = 1; 2327 uint32_t __ar[__n * __k]; 2328 __q.generate(__ar, __ar + __n * __k); 2329 for (size_t __i = 0; __i < __n; ++__i) 2330 __x_[__i] = static_cast<result_type>(__ar[__i] & _Max); 2331 const result_type __mask = __r == _Dt ? result_type(~0) : 2332 (result_type(1) << __r) - result_type(1); 2333 __i_ = 0; 2334 if ((__x_[0] & ~__mask) == 0) 2335 { 2336 for (size_t __i = 1; __i < __n; ++__i) 2337 if (__x_[__i] != 0) 2338 return; 2339 __x_[0] = result_type(1) << (__w - 1); 2340 } 2341} 2342 2343template <class _UIntType, size_t __w, size_t __n, size_t __m, size_t __r, 2344 _UIntType __a, size_t __u, _UIntType __d, size_t __s, 2345 _UIntType __b, size_t __t, _UIntType __c, size_t __l, _UIntType __f> 2346template<class _Sseq> 2347void 2348mersenne_twister_engine<_UIntType, __w, __n, __m, __r, __a, __u, __d, __s, __b, 2349 __t, __c, __l, __f>::__seed(_Sseq& __q, integral_constant<unsigned, 2>) 2350{ 2351 const unsigned __k = 2; 2352 uint32_t __ar[__n * __k]; 2353 __q.generate(__ar, __ar + __n * __k); 2354 for (size_t __i = 0; __i < __n; ++__i) 2355 __x_[__i] = static_cast<result_type>( 2356 (__ar[2 * __i] + ((uint64_t)__ar[2 * __i + 1] << 32)) & _Max); 2357 const result_type __mask = __r == _Dt ? result_type(~0) : 2358 (result_type(1) << __r) - result_type(1); 2359 __i_ = 0; 2360 if ((__x_[0] & ~__mask) == 0) 2361 { 2362 for (size_t __i = 1; __i < __n; ++__i) 2363 if (__x_[__i] != 0) 2364 return; 2365 __x_[0] = result_type(1) << (__w - 1); 2366 } 2367} 2368 2369template <class _UIntType, size_t __w, size_t __n, size_t __m, size_t __r, 2370 _UIntType __a, size_t __u, _UIntType __d, size_t __s, 2371 _UIntType __b, size_t __t, _UIntType __c, size_t __l, _UIntType __f> 2372_UIntType 2373mersenne_twister_engine<_UIntType, __w, __n, __m, __r, __a, __u, __d, __s, __b, 2374 __t, __c, __l, __f>::operator()() 2375{ 2376 const size_t __j = (__i_ + 1) % __n; 2377 const result_type __mask = __r == _Dt ? result_type(~0) : 2378 (result_type(1) << __r) - result_type(1); 2379 const result_type _Yp = (__x_[__i_] & ~__mask) | (__x_[__j] & __mask); 2380 const size_t __k = (__i_ + __m) % __n; 2381 __x_[__i_] = __x_[__k] ^ __rshift<1>(_Yp) ^ (__a * (_Yp & 1)); 2382 result_type __z = __x_[__i_] ^ (__rshift<__u>(__x_[__i_]) & __d); 2383 __i_ = __j; 2384 __z ^= __lshift<__s>(__z) & __b; 2385 __z ^= __lshift<__t>(__z) & __c; 2386 return __z ^ __rshift<__l>(__z); 2387} 2388 2389template <class _UInt, size_t _Wp, size_t _Np, size_t _Mp, size_t _Rp, 2390 _UInt _Ap, size_t _Up, _UInt _Dp, size_t _Sp, 2391 _UInt _Bp, size_t _Tp, _UInt _Cp, size_t _Lp, _UInt _Fp> 2392bool 2393operator==(const mersenne_twister_engine<_UInt, _Wp, _Np, _Mp, _Rp, _Ap, _Up, _Dp, _Sp, 2394 _Bp, _Tp, _Cp, _Lp, _Fp>& __x, 2395 const mersenne_twister_engine<_UInt, _Wp, _Np, _Mp, _Rp, _Ap, _Up, _Dp, _Sp, 2396 _Bp, _Tp, _Cp, _Lp, _Fp>& __y) 2397{ 2398 if (__x.__i_ == __y.__i_) 2399 return _VSTD::equal(__x.__x_, __x.__x_ + _Np, __y.__x_); 2400 if (__x.__i_ == 0 || __y.__i_ == 0) 2401 { 2402 size_t __j = _VSTD::min(_Np - __x.__i_, _Np - __y.__i_); 2403 if (!_VSTD::equal(__x.__x_ + __x.__i_, __x.__x_ + __x.__i_ + __j, 2404 __y.__x_ + __y.__i_)) 2405 return false; 2406 if (__x.__i_ == 0) 2407 return _VSTD::equal(__x.__x_ + __j, __x.__x_ + _Np, __y.__x_); 2408 return _VSTD::equal(__x.__x_, __x.__x_ + (_Np - __j), __y.__x_ + __j); 2409 } 2410 if (__x.__i_ < __y.__i_) 2411 { 2412 size_t __j = _Np - __y.__i_; 2413 if (!_VSTD::equal(__x.__x_ + __x.__i_, __x.__x_ + (__x.__i_ + __j), 2414 __y.__x_ + __y.__i_)) 2415 return false; 2416 if (!_VSTD::equal(__x.__x_ + (__x.__i_ + __j), __x.__x_ + _Np, 2417 __y.__x_)) 2418 return false; 2419 return _VSTD::equal(__x.__x_, __x.__x_ + __x.__i_, 2420 __y.__x_ + (_Np - (__x.__i_ + __j))); 2421 } 2422 size_t __j = _Np - __x.__i_; 2423 if (!_VSTD::equal(__y.__x_ + __y.__i_, __y.__x_ + (__y.__i_ + __j), 2424 __x.__x_ + __x.__i_)) 2425 return false; 2426 if (!_VSTD::equal(__y.__x_ + (__y.__i_ + __j), __y.__x_ + _Np, 2427 __x.__x_)) 2428 return false; 2429 return _VSTD::equal(__y.__x_, __y.__x_ + __y.__i_, 2430 __x.__x_ + (_Np - (__y.__i_ + __j))); 2431} 2432 2433template <class _UInt, size_t _Wp, size_t _Np, size_t _Mp, size_t _Rp, 2434 _UInt _Ap, size_t _Up, _UInt _Dp, size_t _Sp, 2435 _UInt _Bp, size_t _Tp, _UInt _Cp, size_t _Lp, _UInt _Fp> 2436inline _LIBCPP_INLINE_VISIBILITY 2437bool 2438operator!=(const mersenne_twister_engine<_UInt, _Wp, _Np, _Mp, _Rp, _Ap, _Up, _Dp, _Sp, 2439 _Bp, _Tp, _Cp, _Lp, _Fp>& __x, 2440 const mersenne_twister_engine<_UInt, _Wp, _Np, _Mp, _Rp, _Ap, _Up, _Dp, _Sp, 2441 _Bp, _Tp, _Cp, _Lp, _Fp>& __y) 2442{ 2443 return !(__x == __y); 2444} 2445 2446template <class _CharT, class _Traits, 2447 class _UInt, size_t _Wp, size_t _Np, size_t _Mp, size_t _Rp, 2448 _UInt _Ap, size_t _Up, _UInt _Dp, size_t _Sp, 2449 _UInt _Bp, size_t _Tp, _UInt _Cp, size_t _Lp, _UInt _Fp> 2450basic_ostream<_CharT, _Traits>& 2451operator<<(basic_ostream<_CharT, _Traits>& __os, 2452 const mersenne_twister_engine<_UInt, _Wp, _Np, _Mp, _Rp, _Ap, _Up, _Dp, _Sp, 2453 _Bp, _Tp, _Cp, _Lp, _Fp>& __x) 2454{ 2455 __save_flags<_CharT, _Traits> __lx(__os); 2456 __os.flags(ios_base::dec | ios_base::left); 2457 _CharT __sp = __os.widen(' '); 2458 __os.fill(__sp); 2459 __os << __x.__x_[__x.__i_]; 2460 for (size_t __j = __x.__i_ + 1; __j < _Np; ++__j) 2461 __os << __sp << __x.__x_[__j]; 2462 for (size_t __j = 0; __j < __x.__i_; ++__j) 2463 __os << __sp << __x.__x_[__j]; 2464 return __os; 2465} 2466 2467template <class _CharT, class _Traits, 2468 class _UInt, size_t _Wp, size_t _Np, size_t _Mp, size_t _Rp, 2469 _UInt _Ap, size_t _Up, _UInt _Dp, size_t _Sp, 2470 _UInt _Bp, size_t _Tp, _UInt _Cp, size_t _Lp, _UInt _Fp> 2471basic_istream<_CharT, _Traits>& 2472operator>>(basic_istream<_CharT, _Traits>& __is, 2473 mersenne_twister_engine<_UInt, _Wp, _Np, _Mp, _Rp, _Ap, _Up, _Dp, _Sp, 2474 _Bp, _Tp, _Cp, _Lp, _Fp>& __x) 2475{ 2476 __save_flags<_CharT, _Traits> __lx(__is); 2477 __is.flags(ios_base::dec | ios_base::skipws); 2478 _UInt __t[_Np]; 2479 for (size_t __i = 0; __i < _Np; ++__i) 2480 __is >> __t[__i]; 2481 if (!__is.fail()) 2482 { 2483 for (size_t __i = 0; __i < _Np; ++__i) 2484 __x.__x_[__i] = __t[__i]; 2485 __x.__i_ = 0; 2486 } 2487 return __is; 2488} 2489 2490typedef mersenne_twister_engine<uint_fast32_t, 32, 624, 397, 31, 2491 0x9908b0df, 11, 0xffffffff, 2492 7, 0x9d2c5680, 2493 15, 0xefc60000, 2494 18, 1812433253> mt19937; 2495typedef mersenne_twister_engine<uint_fast64_t, 64, 312, 156, 31, 2496 0xb5026f5aa96619e9ULL, 29, 0x5555555555555555ULL, 2497 17, 0x71d67fffeda60000ULL, 2498 37, 0xfff7eee000000000ULL, 2499 43, 6364136223846793005ULL> mt19937_64; 2500 2501// subtract_with_carry_engine 2502 2503template<class _UIntType, size_t __w, size_t __s, size_t __r> 2504class _LIBCPP_TEMPLATE_VIS subtract_with_carry_engine; 2505 2506template<class _UInt, size_t _Wp, size_t _Sp, size_t _Rp> 2507bool 2508operator==( 2509 const subtract_with_carry_engine<_UInt, _Wp, _Sp, _Rp>& __x, 2510 const subtract_with_carry_engine<_UInt, _Wp, _Sp, _Rp>& __y); 2511 2512template<class _UInt, size_t _Wp, size_t _Sp, size_t _Rp> 2513_LIBCPP_INLINE_VISIBILITY 2514bool 2515operator!=( 2516 const subtract_with_carry_engine<_UInt, _Wp, _Sp, _Rp>& __x, 2517 const subtract_with_carry_engine<_UInt, _Wp, _Sp, _Rp>& __y); 2518 2519template <class _CharT, class _Traits, 2520 class _UInt, size_t _Wp, size_t _Sp, size_t _Rp> 2521basic_ostream<_CharT, _Traits>& 2522operator<<(basic_ostream<_CharT, _Traits>& __os, 2523 const subtract_with_carry_engine<_UInt, _Wp, _Sp, _Rp>& __x); 2524 2525template <class _CharT, class _Traits, 2526 class _UInt, size_t _Wp, size_t _Sp, size_t _Rp> 2527basic_istream<_CharT, _Traits>& 2528operator>>(basic_istream<_CharT, _Traits>& __is, 2529 subtract_with_carry_engine<_UInt, _Wp, _Sp, _Rp>& __x); 2530 2531template<class _UIntType, size_t __w, size_t __s, size_t __r> 2532class _LIBCPP_TEMPLATE_VIS subtract_with_carry_engine 2533{ 2534public: 2535 // types 2536 typedef _UIntType result_type; 2537 2538private: 2539 result_type __x_[__r]; 2540 result_type __c_; 2541 size_t __i_; 2542 2543 static _LIBCPP_CONSTEXPR const result_type _Dt = numeric_limits<result_type>::digits; 2544 static_assert( 0 < __w, "subtract_with_carry_engine invalid parameters"); 2545 static_assert(__w <= _Dt, "subtract_with_carry_engine invalid parameters"); 2546 static_assert( 0 < __s, "subtract_with_carry_engine invalid parameters"); 2547 static_assert(__s < __r, "subtract_with_carry_engine invalid parameters"); 2548public: 2549 static _LIBCPP_CONSTEXPR const result_type _Min = 0; 2550 static _LIBCPP_CONSTEXPR const result_type _Max = __w == _Dt ? result_type(~0) : 2551 (result_type(1) << __w) - result_type(1); 2552 static_assert(_Min < _Max, "subtract_with_carry_engine invalid parameters"); 2553 2554 // engine characteristics 2555 static _LIBCPP_CONSTEXPR const size_t word_size = __w; 2556 static _LIBCPP_CONSTEXPR const size_t short_lag = __s; 2557 static _LIBCPP_CONSTEXPR const size_t long_lag = __r; 2558 _LIBCPP_INLINE_VISIBILITY 2559 static _LIBCPP_CONSTEXPR result_type min() { return _Min; } 2560 _LIBCPP_INLINE_VISIBILITY 2561 static _LIBCPP_CONSTEXPR result_type max() { return _Max; } 2562 static _LIBCPP_CONSTEXPR const result_type default_seed = 19780503u; 2563 2564 // constructors and seeding functions 2565 _LIBCPP_INLINE_VISIBILITY 2566 explicit subtract_with_carry_engine(result_type __sd = default_seed) 2567 {seed(__sd);} 2568 template<class _Sseq> 2569 _LIBCPP_INLINE_VISIBILITY 2570 explicit subtract_with_carry_engine(_Sseq& __q, 2571 typename enable_if<__is_seed_sequence<_Sseq, subtract_with_carry_engine>::value>::type* = 0) 2572 {seed(__q);} 2573 _LIBCPP_INLINE_VISIBILITY 2574 void seed(result_type __sd = default_seed) 2575 {seed(__sd, integral_constant<unsigned, 1 + (__w - 1) / 32>());} 2576 template<class _Sseq> 2577 _LIBCPP_INLINE_VISIBILITY 2578 typename enable_if 2579 < 2580 __is_seed_sequence<_Sseq, subtract_with_carry_engine>::value, 2581 void 2582 >::type 2583 seed(_Sseq& __q) 2584 {__seed(__q, integral_constant<unsigned, 1 + (__w - 1) / 32>());} 2585 2586 // generating functions 2587 result_type operator()(); 2588 _LIBCPP_INLINE_VISIBILITY 2589 void discard(unsigned long long __z) {for (; __z; --__z) operator()();} 2590 2591 template<class _UInt, size_t _Wp, size_t _Sp, size_t _Rp> 2592 friend 2593 bool 2594 operator==( 2595 const subtract_with_carry_engine<_UInt, _Wp, _Sp, _Rp>& __x, 2596 const subtract_with_carry_engine<_UInt, _Wp, _Sp, _Rp>& __y); 2597 2598 template<class _UInt, size_t _Wp, size_t _Sp, size_t _Rp> 2599 friend 2600 bool 2601 operator!=( 2602 const subtract_with_carry_engine<_UInt, _Wp, _Sp, _Rp>& __x, 2603 const subtract_with_carry_engine<_UInt, _Wp, _Sp, _Rp>& __y); 2604 2605 template <class _CharT, class _Traits, 2606 class _UInt, size_t _Wp, size_t _Sp, size_t _Rp> 2607 friend 2608 basic_ostream<_CharT, _Traits>& 2609 operator<<(basic_ostream<_CharT, _Traits>& __os, 2610 const subtract_with_carry_engine<_UInt, _Wp, _Sp, _Rp>& __x); 2611 2612 template <class _CharT, class _Traits, 2613 class _UInt, size_t _Wp, size_t _Sp, size_t _Rp> 2614 friend 2615 basic_istream<_CharT, _Traits>& 2616 operator>>(basic_istream<_CharT, _Traits>& __is, 2617 subtract_with_carry_engine<_UInt, _Wp, _Sp, _Rp>& __x); 2618 2619private: 2620 2621 void seed(result_type __sd, integral_constant<unsigned, 1>); 2622 void seed(result_type __sd, integral_constant<unsigned, 2>); 2623 template<class _Sseq> 2624 void __seed(_Sseq& __q, integral_constant<unsigned, 1>); 2625 template<class _Sseq> 2626 void __seed(_Sseq& __q, integral_constant<unsigned, 2>); 2627}; 2628 2629template<class _UIntType, size_t __w, size_t __s, size_t __r> 2630 _LIBCPP_CONSTEXPR const size_t subtract_with_carry_engine<_UIntType, __w, __s, __r>::word_size; 2631 2632template<class _UIntType, size_t __w, size_t __s, size_t __r> 2633 _LIBCPP_CONSTEXPR const size_t subtract_with_carry_engine<_UIntType, __w, __s, __r>::short_lag; 2634 2635template<class _UIntType, size_t __w, size_t __s, size_t __r> 2636 _LIBCPP_CONSTEXPR const size_t subtract_with_carry_engine<_UIntType, __w, __s, __r>::long_lag; 2637 2638template<class _UIntType, size_t __w, size_t __s, size_t __r> 2639 _LIBCPP_CONSTEXPR const typename subtract_with_carry_engine<_UIntType, __w, __s, __r>::result_type 2640 subtract_with_carry_engine<_UIntType, __w, __s, __r>::default_seed; 2641 2642template<class _UIntType, size_t __w, size_t __s, size_t __r> 2643void 2644subtract_with_carry_engine<_UIntType, __w, __s, __r>::seed(result_type __sd, 2645 integral_constant<unsigned, 1>) 2646{ 2647 linear_congruential_engine<result_type, 40014u, 0u, 2147483563u> 2648 __e(__sd == 0u ? default_seed : __sd); 2649 for (size_t __i = 0; __i < __r; ++__i) 2650 __x_[__i] = static_cast<result_type>(__e() & _Max); 2651 __c_ = __x_[__r-1] == 0; 2652 __i_ = 0; 2653} 2654 2655template<class _UIntType, size_t __w, size_t __s, size_t __r> 2656void 2657subtract_with_carry_engine<_UIntType, __w, __s, __r>::seed(result_type __sd, 2658 integral_constant<unsigned, 2>) 2659{ 2660 linear_congruential_engine<result_type, 40014u, 0u, 2147483563u> 2661 __e(__sd == 0u ? default_seed : __sd); 2662 for (size_t __i = 0; __i < __r; ++__i) 2663 { 2664 result_type __e0 = __e(); 2665 __x_[__i] = static_cast<result_type>( 2666 (__e0 + ((uint64_t)__e() << 32)) & _Max); 2667 } 2668 __c_ = __x_[__r-1] == 0; 2669 __i_ = 0; 2670} 2671 2672template<class _UIntType, size_t __w, size_t __s, size_t __r> 2673template<class _Sseq> 2674void 2675subtract_with_carry_engine<_UIntType, __w, __s, __r>::__seed(_Sseq& __q, 2676 integral_constant<unsigned, 1>) 2677{ 2678 const unsigned __k = 1; 2679 uint32_t __ar[__r * __k]; 2680 __q.generate(__ar, __ar + __r * __k); 2681 for (size_t __i = 0; __i < __r; ++__i) 2682 __x_[__i] = static_cast<result_type>(__ar[__i] & _Max); 2683 __c_ = __x_[__r-1] == 0; 2684 __i_ = 0; 2685} 2686 2687template<class _UIntType, size_t __w, size_t __s, size_t __r> 2688template<class _Sseq> 2689void 2690subtract_with_carry_engine<_UIntType, __w, __s, __r>::__seed(_Sseq& __q, 2691 integral_constant<unsigned, 2>) 2692{ 2693 const unsigned __k = 2; 2694 uint32_t __ar[__r * __k]; 2695 __q.generate(__ar, __ar + __r * __k); 2696 for (size_t __i = 0; __i < __r; ++__i) 2697 __x_[__i] = static_cast<result_type>( 2698 (__ar[2 * __i] + ((uint64_t)__ar[2 * __i + 1] << 32)) & _Max); 2699 __c_ = __x_[__r-1] == 0; 2700 __i_ = 0; 2701} 2702 2703template<class _UIntType, size_t __w, size_t __s, size_t __r> 2704_UIntType 2705subtract_with_carry_engine<_UIntType, __w, __s, __r>::operator()() 2706{ 2707 const result_type& __xs = __x_[(__i_ + (__r - __s)) % __r]; 2708 result_type& __xr = __x_[__i_]; 2709 result_type __new_c = __c_ == 0 ? __xs < __xr : __xs != 0 ? __xs <= __xr : 1; 2710 __xr = (__xs - __xr - __c_) & _Max; 2711 __c_ = __new_c; 2712 __i_ = (__i_ + 1) % __r; 2713 return __xr; 2714} 2715 2716template<class _UInt, size_t _Wp, size_t _Sp, size_t _Rp> 2717bool 2718operator==( 2719 const subtract_with_carry_engine<_UInt, _Wp, _Sp, _Rp>& __x, 2720 const subtract_with_carry_engine<_UInt, _Wp, _Sp, _Rp>& __y) 2721{ 2722 if (__x.__c_ != __y.__c_) 2723 return false; 2724 if (__x.__i_ == __y.__i_) 2725 return _VSTD::equal(__x.__x_, __x.__x_ + _Rp, __y.__x_); 2726 if (__x.__i_ == 0 || __y.__i_ == 0) 2727 { 2728 size_t __j = _VSTD::min(_Rp - __x.__i_, _Rp - __y.__i_); 2729 if (!_VSTD::equal(__x.__x_ + __x.__i_, __x.__x_ + __x.__i_ + __j, 2730 __y.__x_ + __y.__i_)) 2731 return false; 2732 if (__x.__i_ == 0) 2733 return _VSTD::equal(__x.__x_ + __j, __x.__x_ + _Rp, __y.__x_); 2734 return _VSTD::equal(__x.__x_, __x.__x_ + (_Rp - __j), __y.__x_ + __j); 2735 } 2736 if (__x.__i_ < __y.__i_) 2737 { 2738 size_t __j = _Rp - __y.__i_; 2739 if (!_VSTD::equal(__x.__x_ + __x.__i_, __x.__x_ + (__x.__i_ + __j), 2740 __y.__x_ + __y.__i_)) 2741 return false; 2742 if (!_VSTD::equal(__x.__x_ + (__x.__i_ + __j), __x.__x_ + _Rp, 2743 __y.__x_)) 2744 return false; 2745 return _VSTD::equal(__x.__x_, __x.__x_ + __x.__i_, 2746 __y.__x_ + (_Rp - (__x.__i_ + __j))); 2747 } 2748 size_t __j = _Rp - __x.__i_; 2749 if (!_VSTD::equal(__y.__x_ + __y.__i_, __y.__x_ + (__y.__i_ + __j), 2750 __x.__x_ + __x.__i_)) 2751 return false; 2752 if (!_VSTD::equal(__y.__x_ + (__y.__i_ + __j), __y.__x_ + _Rp, 2753 __x.__x_)) 2754 return false; 2755 return _VSTD::equal(__y.__x_, __y.__x_ + __y.__i_, 2756 __x.__x_ + (_Rp - (__y.__i_ + __j))); 2757} 2758 2759template<class _UInt, size_t _Wp, size_t _Sp, size_t _Rp> 2760inline _LIBCPP_INLINE_VISIBILITY 2761bool 2762operator!=( 2763 const subtract_with_carry_engine<_UInt, _Wp, _Sp, _Rp>& __x, 2764 const subtract_with_carry_engine<_UInt, _Wp, _Sp, _Rp>& __y) 2765{ 2766 return !(__x == __y); 2767} 2768 2769template <class _CharT, class _Traits, 2770 class _UInt, size_t _Wp, size_t _Sp, size_t _Rp> 2771basic_ostream<_CharT, _Traits>& 2772operator<<(basic_ostream<_CharT, _Traits>& __os, 2773 const subtract_with_carry_engine<_UInt, _Wp, _Sp, _Rp>& __x) 2774{ 2775 __save_flags<_CharT, _Traits> __lx(__os); 2776 __os.flags(ios_base::dec | ios_base::left); 2777 _CharT __sp = __os.widen(' '); 2778 __os.fill(__sp); 2779 __os << __x.__x_[__x.__i_]; 2780 for (size_t __j = __x.__i_ + 1; __j < _Rp; ++__j) 2781 __os << __sp << __x.__x_[__j]; 2782 for (size_t __j = 0; __j < __x.__i_; ++__j) 2783 __os << __sp << __x.__x_[__j]; 2784 __os << __sp << __x.__c_; 2785 return __os; 2786} 2787 2788template <class _CharT, class _Traits, 2789 class _UInt, size_t _Wp, size_t _Sp, size_t _Rp> 2790basic_istream<_CharT, _Traits>& 2791operator>>(basic_istream<_CharT, _Traits>& __is, 2792 subtract_with_carry_engine<_UInt, _Wp, _Sp, _Rp>& __x) 2793{ 2794 __save_flags<_CharT, _Traits> __lx(__is); 2795 __is.flags(ios_base::dec | ios_base::skipws); 2796 _UInt __t[_Rp+1]; 2797 for (size_t __i = 0; __i < _Rp+1; ++__i) 2798 __is >> __t[__i]; 2799 if (!__is.fail()) 2800 { 2801 for (size_t __i = 0; __i < _Rp; ++__i) 2802 __x.__x_[__i] = __t[__i]; 2803 __x.__c_ = __t[_Rp]; 2804 __x.__i_ = 0; 2805 } 2806 return __is; 2807} 2808 2809typedef subtract_with_carry_engine<uint_fast32_t, 24, 10, 24> ranlux24_base; 2810typedef subtract_with_carry_engine<uint_fast64_t, 48, 5, 12> ranlux48_base; 2811 2812// discard_block_engine 2813 2814template<class _Engine, size_t __p, size_t __r> 2815class _LIBCPP_TEMPLATE_VIS discard_block_engine 2816{ 2817 _Engine __e_; 2818 int __n_; 2819 2820 static_assert( 0 < __r, "discard_block_engine invalid parameters"); 2821 static_assert(__r <= __p, "discard_block_engine invalid parameters"); 2822 static_assert(__r <= INT_MAX, "discard_block_engine invalid parameters"); 2823public: 2824 // types 2825 typedef typename _Engine::result_type result_type; 2826 2827 // engine characteristics 2828 static _LIBCPP_CONSTEXPR const size_t block_size = __p; 2829 static _LIBCPP_CONSTEXPR const size_t used_block = __r; 2830 2831#ifdef _LIBCPP_CXX03_LANG 2832 static const result_type _Min = _Engine::_Min; 2833 static const result_type _Max = _Engine::_Max; 2834#else 2835 static _LIBCPP_CONSTEXPR const result_type _Min = _Engine::min(); 2836 static _LIBCPP_CONSTEXPR const result_type _Max = _Engine::max(); 2837#endif 2838 2839 _LIBCPP_INLINE_VISIBILITY 2840 static _LIBCPP_CONSTEXPR result_type min() { return _Engine::min(); } 2841 _LIBCPP_INLINE_VISIBILITY 2842 static _LIBCPP_CONSTEXPR result_type max() { return _Engine::max(); } 2843 2844 // constructors and seeding functions 2845 _LIBCPP_INLINE_VISIBILITY 2846 discard_block_engine() : __n_(0) {} 2847 _LIBCPP_INLINE_VISIBILITY 2848 explicit discard_block_engine(const _Engine& __e) 2849 : __e_(__e), __n_(0) {} 2850#ifndef _LIBCPP_CXX03_LANG 2851 _LIBCPP_INLINE_VISIBILITY 2852 explicit discard_block_engine(_Engine&& __e) 2853 : __e_(_VSTD::move(__e)), __n_(0) {} 2854#endif // _LIBCPP_CXX03_LANG 2855 _LIBCPP_INLINE_VISIBILITY 2856 explicit discard_block_engine(result_type __sd) : __e_(__sd), __n_(0) {} 2857 template<class _Sseq> 2858 _LIBCPP_INLINE_VISIBILITY 2859 explicit discard_block_engine(_Sseq& __q, 2860 typename enable_if<__is_seed_sequence<_Sseq, discard_block_engine>::value && 2861 !is_convertible<_Sseq, _Engine>::value>::type* = 0) 2862 : __e_(__q), __n_(0) {} 2863 _LIBCPP_INLINE_VISIBILITY 2864 void seed() {__e_.seed(); __n_ = 0;} 2865 _LIBCPP_INLINE_VISIBILITY 2866 void seed(result_type __sd) {__e_.seed(__sd); __n_ = 0;} 2867 template<class _Sseq> 2868 _LIBCPP_INLINE_VISIBILITY 2869 typename enable_if 2870 < 2871 __is_seed_sequence<_Sseq, discard_block_engine>::value, 2872 void 2873 >::type 2874 seed(_Sseq& __q) {__e_.seed(__q); __n_ = 0;} 2875 2876 // generating functions 2877 result_type operator()(); 2878 _LIBCPP_INLINE_VISIBILITY 2879 void discard(unsigned long long __z) {for (; __z; --__z) operator()();} 2880 2881 // property functions 2882 _LIBCPP_INLINE_VISIBILITY 2883 const _Engine& base() const _NOEXCEPT {return __e_;} 2884 2885 template<class _Eng, size_t _Pp, size_t _Rp> 2886 friend 2887 bool 2888 operator==( 2889 const discard_block_engine<_Eng, _Pp, _Rp>& __x, 2890 const discard_block_engine<_Eng, _Pp, _Rp>& __y); 2891 2892 template<class _Eng, size_t _Pp, size_t _Rp> 2893 friend 2894 bool 2895 operator!=( 2896 const discard_block_engine<_Eng, _Pp, _Rp>& __x, 2897 const discard_block_engine<_Eng, _Pp, _Rp>& __y); 2898 2899 template <class _CharT, class _Traits, 2900 class _Eng, size_t _Pp, size_t _Rp> 2901 friend 2902 basic_ostream<_CharT, _Traits>& 2903 operator<<(basic_ostream<_CharT, _Traits>& __os, 2904 const discard_block_engine<_Eng, _Pp, _Rp>& __x); 2905 2906 template <class _CharT, class _Traits, 2907 class _Eng, size_t _Pp, size_t _Rp> 2908 friend 2909 basic_istream<_CharT, _Traits>& 2910 operator>>(basic_istream<_CharT, _Traits>& __is, 2911 discard_block_engine<_Eng, _Pp, _Rp>& __x); 2912}; 2913 2914template<class _Engine, size_t __p, size_t __r> 2915 _LIBCPP_CONSTEXPR const size_t discard_block_engine<_Engine, __p, __r>::block_size; 2916 2917template<class _Engine, size_t __p, size_t __r> 2918 _LIBCPP_CONSTEXPR const size_t discard_block_engine<_Engine, __p, __r>::used_block; 2919 2920template<class _Engine, size_t __p, size_t __r> 2921typename discard_block_engine<_Engine, __p, __r>::result_type 2922discard_block_engine<_Engine, __p, __r>::operator()() 2923{ 2924 if (__n_ >= static_cast<int>(__r)) 2925 { 2926 __e_.discard(__p - __r); 2927 __n_ = 0; 2928 } 2929 ++__n_; 2930 return __e_(); 2931} 2932 2933template<class _Eng, size_t _Pp, size_t _Rp> 2934inline _LIBCPP_INLINE_VISIBILITY 2935bool 2936operator==(const discard_block_engine<_Eng, _Pp, _Rp>& __x, 2937 const discard_block_engine<_Eng, _Pp, _Rp>& __y) 2938{ 2939 return __x.__n_ == __y.__n_ && __x.__e_ == __y.__e_; 2940} 2941 2942template<class _Eng, size_t _Pp, size_t _Rp> 2943inline _LIBCPP_INLINE_VISIBILITY 2944bool 2945operator!=(const discard_block_engine<_Eng, _Pp, _Rp>& __x, 2946 const discard_block_engine<_Eng, _Pp, _Rp>& __y) 2947{ 2948 return !(__x == __y); 2949} 2950 2951template <class _CharT, class _Traits, 2952 class _Eng, size_t _Pp, size_t _Rp> 2953basic_ostream<_CharT, _Traits>& 2954operator<<(basic_ostream<_CharT, _Traits>& __os, 2955 const discard_block_engine<_Eng, _Pp, _Rp>& __x) 2956{ 2957 __save_flags<_CharT, _Traits> __lx(__os); 2958 __os.flags(ios_base::dec | ios_base::left); 2959 _CharT __sp = __os.widen(' '); 2960 __os.fill(__sp); 2961 return __os << __x.__e_ << __sp << __x.__n_; 2962} 2963 2964template <class _CharT, class _Traits, 2965 class _Eng, size_t _Pp, size_t _Rp> 2966basic_istream<_CharT, _Traits>& 2967operator>>(basic_istream<_CharT, _Traits>& __is, 2968 discard_block_engine<_Eng, _Pp, _Rp>& __x) 2969{ 2970 __save_flags<_CharT, _Traits> __lx(__is); 2971 __is.flags(ios_base::dec | ios_base::skipws); 2972 _Eng __e; 2973 int __n; 2974 __is >> __e >> __n; 2975 if (!__is.fail()) 2976 { 2977 __x.__e_ = __e; 2978 __x.__n_ = __n; 2979 } 2980 return __is; 2981} 2982 2983typedef discard_block_engine<ranlux24_base, 223, 23> ranlux24; 2984typedef discard_block_engine<ranlux48_base, 389, 11> ranlux48; 2985 2986// independent_bits_engine 2987 2988template<class _Engine, size_t __w, class _UIntType> 2989class _LIBCPP_TEMPLATE_VIS independent_bits_engine 2990{ 2991 template <class _UInt, _UInt _R0, size_t _Wp, size_t _Mp> 2992 class __get_n 2993 { 2994 static _LIBCPP_CONSTEXPR const size_t _Dt = numeric_limits<_UInt>::digits; 2995 static _LIBCPP_CONSTEXPR const size_t _Np = _Wp / _Mp + (_Wp % _Mp != 0); 2996 static _LIBCPP_CONSTEXPR const size_t _W0 = _Wp / _Np; 2997 static _LIBCPP_CONSTEXPR const _UInt _Y0 = _W0 >= _Dt ? 0 : (_R0 >> _W0) << _W0; 2998 public: 2999 static _LIBCPP_CONSTEXPR const size_t value = _R0 - _Y0 > _Y0 / _Np ? _Np + 1 : _Np; 3000 }; 3001public: 3002 // types 3003 typedef _UIntType result_type; 3004 3005private: 3006 _Engine __e_; 3007 3008 static _LIBCPP_CONSTEXPR const result_type _Dt = numeric_limits<result_type>::digits; 3009 static_assert( 0 < __w, "independent_bits_engine invalid parameters"); 3010 static_assert(__w <= _Dt, "independent_bits_engine invalid parameters"); 3011 3012 typedef typename _Engine::result_type _Engine_result_type; 3013 typedef typename conditional 3014 < 3015 sizeof(_Engine_result_type) <= sizeof(result_type), 3016 result_type, 3017 _Engine_result_type 3018 >::type _Working_result_type; 3019#ifdef _LIBCPP_CXX03_LANG 3020 static const _Working_result_type _Rp = _Engine::_Max - _Engine::_Min 3021 + _Working_result_type(1); 3022#else 3023 static _LIBCPP_CONSTEXPR const _Working_result_type _Rp = _Engine::max() - _Engine::min() 3024 + _Working_result_type(1); 3025#endif 3026 static _LIBCPP_CONSTEXPR const size_t __m = __log2<_Working_result_type, _Rp>::value; 3027 static _LIBCPP_CONSTEXPR const size_t __n = __get_n<_Working_result_type, _Rp, __w, __m>::value; 3028 static _LIBCPP_CONSTEXPR const size_t __w0 = __w / __n; 3029 static _LIBCPP_CONSTEXPR const size_t __n0 = __n - __w % __n; 3030 static _LIBCPP_CONSTEXPR const size_t _WDt = numeric_limits<_Working_result_type>::digits; 3031 static _LIBCPP_CONSTEXPR const size_t _EDt = numeric_limits<_Engine_result_type>::digits; 3032 static _LIBCPP_CONSTEXPR const _Working_result_type __y0 = __w0 >= _WDt ? 0 : 3033 (_Rp >> __w0) << __w0; 3034 static _LIBCPP_CONSTEXPR const _Working_result_type __y1 = __w0 >= _WDt - 1 ? 0 : 3035 (_Rp >> (__w0+1)) << (__w0+1); 3036 static _LIBCPP_CONSTEXPR const _Engine_result_type __mask0 = __w0 > 0 ? 3037 _Engine_result_type(~0) >> (_EDt - __w0) : 3038 _Engine_result_type(0); 3039 static _LIBCPP_CONSTEXPR const _Engine_result_type __mask1 = __w0 < _EDt - 1 ? 3040 _Engine_result_type(~0) >> (_EDt - (__w0 + 1)) : 3041 _Engine_result_type(~0); 3042public: 3043 static _LIBCPP_CONSTEXPR const result_type _Min = 0; 3044 static _LIBCPP_CONSTEXPR const result_type _Max = __w == _Dt ? result_type(~0) : 3045 (result_type(1) << __w) - result_type(1); 3046 static_assert(_Min < _Max, "independent_bits_engine invalid parameters"); 3047 3048 // engine characteristics 3049 _LIBCPP_INLINE_VISIBILITY 3050 static _LIBCPP_CONSTEXPR result_type min() { return _Min; } 3051 _LIBCPP_INLINE_VISIBILITY 3052 static _LIBCPP_CONSTEXPR result_type max() { return _Max; } 3053 3054 // constructors and seeding functions 3055 _LIBCPP_INLINE_VISIBILITY 3056 independent_bits_engine() {} 3057 _LIBCPP_INLINE_VISIBILITY 3058 explicit independent_bits_engine(const _Engine& __e) 3059 : __e_(__e) {} 3060#ifndef _LIBCPP_CXX03_LANG 3061 _LIBCPP_INLINE_VISIBILITY 3062 explicit independent_bits_engine(_Engine&& __e) 3063 : __e_(_VSTD::move(__e)) {} 3064#endif // _LIBCPP_CXX03_LANG 3065 _LIBCPP_INLINE_VISIBILITY 3066 explicit independent_bits_engine(result_type __sd) : __e_(__sd) {} 3067 template<class _Sseq> 3068 _LIBCPP_INLINE_VISIBILITY 3069 explicit independent_bits_engine(_Sseq& __q, 3070 typename enable_if<__is_seed_sequence<_Sseq, independent_bits_engine>::value && 3071 !is_convertible<_Sseq, _Engine>::value>::type* = 0) 3072 : __e_(__q) {} 3073 _LIBCPP_INLINE_VISIBILITY 3074 void seed() {__e_.seed();} 3075 _LIBCPP_INLINE_VISIBILITY 3076 void seed(result_type __sd) {__e_.seed(__sd);} 3077 template<class _Sseq> 3078 _LIBCPP_INLINE_VISIBILITY 3079 typename enable_if 3080 < 3081 __is_seed_sequence<_Sseq, independent_bits_engine>::value, 3082 void 3083 >::type 3084 seed(_Sseq& __q) {__e_.seed(__q);} 3085 3086 // generating functions 3087 _LIBCPP_INLINE_VISIBILITY 3088 result_type operator()() {return __eval(integral_constant<bool, _Rp != 0>());} 3089 _LIBCPP_INLINE_VISIBILITY 3090 void discard(unsigned long long __z) {for (; __z; --__z) operator()();} 3091 3092 // property functions 3093 _LIBCPP_INLINE_VISIBILITY 3094 const _Engine& base() const _NOEXCEPT {return __e_;} 3095 3096 template<class _Eng, size_t _Wp, class _UInt> 3097 friend 3098 bool 3099 operator==( 3100 const independent_bits_engine<_Eng, _Wp, _UInt>& __x, 3101 const independent_bits_engine<_Eng, _Wp, _UInt>& __y); 3102 3103 template<class _Eng, size_t _Wp, class _UInt> 3104 friend 3105 bool 3106 operator!=( 3107 const independent_bits_engine<_Eng, _Wp, _UInt>& __x, 3108 const independent_bits_engine<_Eng, _Wp, _UInt>& __y); 3109 3110 template <class _CharT, class _Traits, 3111 class _Eng, size_t _Wp, class _UInt> 3112 friend 3113 basic_ostream<_CharT, _Traits>& 3114 operator<<(basic_ostream<_CharT, _Traits>& __os, 3115 const independent_bits_engine<_Eng, _Wp, _UInt>& __x); 3116 3117 template <class _CharT, class _Traits, 3118 class _Eng, size_t _Wp, class _UInt> 3119 friend 3120 basic_istream<_CharT, _Traits>& 3121 operator>>(basic_istream<_CharT, _Traits>& __is, 3122 independent_bits_engine<_Eng, _Wp, _UInt>& __x); 3123 3124private: 3125 _LIBCPP_INLINE_VISIBILITY 3126 result_type __eval(false_type); 3127 result_type __eval(true_type); 3128 3129 template <size_t __count> 3130 _LIBCPP_INLINE_VISIBILITY 3131 static 3132 typename enable_if 3133 < 3134 __count < _Dt, 3135 result_type 3136 >::type 3137 __lshift(result_type __x) {return __x << __count;} 3138 3139 template <size_t __count> 3140 _LIBCPP_INLINE_VISIBILITY 3141 static 3142 typename enable_if 3143 < 3144 (__count >= _Dt), 3145 result_type 3146 >::type 3147 __lshift(result_type) {return result_type(0);} 3148}; 3149 3150template<class _Engine, size_t __w, class _UIntType> 3151inline 3152_UIntType 3153independent_bits_engine<_Engine, __w, _UIntType>::__eval(false_type) 3154{ 3155 return static_cast<result_type>(__e_() & __mask0); 3156} 3157 3158template<class _Engine, size_t __w, class _UIntType> 3159_UIntType 3160independent_bits_engine<_Engine, __w, _UIntType>::__eval(true_type) 3161{ 3162 result_type _Sp = 0; 3163 for (size_t __k = 0; __k < __n0; ++__k) 3164 { 3165 _Engine_result_type __u; 3166 do 3167 { 3168 __u = __e_() - _Engine::min(); 3169 } while (__u >= __y0); 3170 _Sp = static_cast<result_type>(__lshift<__w0>(_Sp) + (__u & __mask0)); 3171 } 3172 for (size_t __k = __n0; __k < __n; ++__k) 3173 { 3174 _Engine_result_type __u; 3175 do 3176 { 3177 __u = __e_() - _Engine::min(); 3178 } while (__u >= __y1); 3179 _Sp = static_cast<result_type>(__lshift<__w0+1>(_Sp) + (__u & __mask1)); 3180 } 3181 return _Sp; 3182} 3183 3184template<class _Eng, size_t _Wp, class _UInt> 3185inline _LIBCPP_INLINE_VISIBILITY 3186bool 3187operator==( 3188 const independent_bits_engine<_Eng, _Wp, _UInt>& __x, 3189 const independent_bits_engine<_Eng, _Wp, _UInt>& __y) 3190{ 3191 return __x.base() == __y.base(); 3192} 3193 3194template<class _Eng, size_t _Wp, class _UInt> 3195inline _LIBCPP_INLINE_VISIBILITY 3196bool 3197operator!=( 3198 const independent_bits_engine<_Eng, _Wp, _UInt>& __x, 3199 const independent_bits_engine<_Eng, _Wp, _UInt>& __y) 3200{ 3201 return !(__x == __y); 3202} 3203 3204template <class _CharT, class _Traits, 3205 class _Eng, size_t _Wp, class _UInt> 3206basic_ostream<_CharT, _Traits>& 3207operator<<(basic_ostream<_CharT, _Traits>& __os, 3208 const independent_bits_engine<_Eng, _Wp, _UInt>& __x) 3209{ 3210 return __os << __x.base(); 3211} 3212 3213template <class _CharT, class _Traits, 3214 class _Eng, size_t _Wp, class _UInt> 3215basic_istream<_CharT, _Traits>& 3216operator>>(basic_istream<_CharT, _Traits>& __is, 3217 independent_bits_engine<_Eng, _Wp, _UInt>& __x) 3218{ 3219 _Eng __e; 3220 __is >> __e; 3221 if (!__is.fail()) 3222 __x.__e_ = __e; 3223 return __is; 3224} 3225 3226// shuffle_order_engine 3227 3228template <uint64_t _Xp, uint64_t _Yp> 3229struct __ugcd 3230{ 3231 static _LIBCPP_CONSTEXPR const uint64_t value = __ugcd<_Yp, _Xp % _Yp>::value; 3232}; 3233 3234template <uint64_t _Xp> 3235struct __ugcd<_Xp, 0> 3236{ 3237 static _LIBCPP_CONSTEXPR const uint64_t value = _Xp; 3238}; 3239 3240template <uint64_t _Np, uint64_t _Dp> 3241class __uratio 3242{ 3243 static_assert(_Dp != 0, "__uratio divide by 0"); 3244 static _LIBCPP_CONSTEXPR const uint64_t __gcd = __ugcd<_Np, _Dp>::value; 3245public: 3246 static _LIBCPP_CONSTEXPR const uint64_t num = _Np / __gcd; 3247 static _LIBCPP_CONSTEXPR const uint64_t den = _Dp / __gcd; 3248 3249 typedef __uratio<num, den> type; 3250}; 3251 3252template<class _Engine, size_t __k> 3253class _LIBCPP_TEMPLATE_VIS shuffle_order_engine 3254{ 3255 static_assert(0 < __k, "shuffle_order_engine invalid parameters"); 3256public: 3257 // types 3258 typedef typename _Engine::result_type result_type; 3259 3260private: 3261 _Engine __e_; 3262 result_type _V_[__k]; 3263 result_type _Y_; 3264 3265public: 3266 // engine characteristics 3267 static _LIBCPP_CONSTEXPR const size_t table_size = __k; 3268 3269#ifdef _LIBCPP_CXX03_LANG 3270 static const result_type _Min = _Engine::_Min; 3271 static const result_type _Max = _Engine::_Max; 3272#else 3273 static _LIBCPP_CONSTEXPR const result_type _Min = _Engine::min(); 3274 static _LIBCPP_CONSTEXPR const result_type _Max = _Engine::max(); 3275#endif 3276 static_assert(_Min < _Max, "shuffle_order_engine invalid parameters"); 3277 _LIBCPP_INLINE_VISIBILITY 3278 static _LIBCPP_CONSTEXPR result_type min() { return _Min; } 3279 _LIBCPP_INLINE_VISIBILITY 3280 static _LIBCPP_CONSTEXPR result_type max() { return _Max; } 3281 3282 static _LIBCPP_CONSTEXPR const unsigned long long _Rp = _Max - _Min + 1ull; 3283 3284 // constructors and seeding functions 3285 _LIBCPP_INLINE_VISIBILITY 3286 shuffle_order_engine() {__init();} 3287 _LIBCPP_INLINE_VISIBILITY 3288 explicit shuffle_order_engine(const _Engine& __e) 3289 : __e_(__e) {__init();} 3290#ifndef _LIBCPP_CXX03_LANG 3291 _LIBCPP_INLINE_VISIBILITY 3292 explicit shuffle_order_engine(_Engine&& __e) 3293 : __e_(_VSTD::move(__e)) {__init();} 3294#endif // _LIBCPP_CXX03_LANG 3295 _LIBCPP_INLINE_VISIBILITY 3296 explicit shuffle_order_engine(result_type __sd) : __e_(__sd) {__init();} 3297 template<class _Sseq> 3298 _LIBCPP_INLINE_VISIBILITY 3299 explicit shuffle_order_engine(_Sseq& __q, 3300 typename enable_if<__is_seed_sequence<_Sseq, shuffle_order_engine>::value && 3301 !is_convertible<_Sseq, _Engine>::value>::type* = 0) 3302 : __e_(__q) {__init();} 3303 _LIBCPP_INLINE_VISIBILITY 3304 void seed() {__e_.seed(); __init();} 3305 _LIBCPP_INLINE_VISIBILITY 3306 void seed(result_type __sd) {__e_.seed(__sd); __init();} 3307 template<class _Sseq> 3308 _LIBCPP_INLINE_VISIBILITY 3309 typename enable_if 3310 < 3311 __is_seed_sequence<_Sseq, shuffle_order_engine>::value, 3312 void 3313 >::type 3314 seed(_Sseq& __q) {__e_.seed(__q); __init();} 3315 3316 // generating functions 3317 _LIBCPP_INLINE_VISIBILITY 3318 result_type operator()() {return __eval(integral_constant<bool, _Rp != 0>());} 3319 _LIBCPP_INLINE_VISIBILITY 3320 void discard(unsigned long long __z) {for (; __z; --__z) operator()();} 3321 3322 // property functions 3323 _LIBCPP_INLINE_VISIBILITY 3324 const _Engine& base() const _NOEXCEPT {return __e_;} 3325 3326private: 3327 template<class _Eng, size_t _Kp> 3328 friend 3329 bool 3330 operator==( 3331 const shuffle_order_engine<_Eng, _Kp>& __x, 3332 const shuffle_order_engine<_Eng, _Kp>& __y); 3333 3334 template<class _Eng, size_t _Kp> 3335 friend 3336 bool 3337 operator!=( 3338 const shuffle_order_engine<_Eng, _Kp>& __x, 3339 const shuffle_order_engine<_Eng, _Kp>& __y); 3340 3341 template <class _CharT, class _Traits, 3342 class _Eng, size_t _Kp> 3343 friend 3344 basic_ostream<_CharT, _Traits>& 3345 operator<<(basic_ostream<_CharT, _Traits>& __os, 3346 const shuffle_order_engine<_Eng, _Kp>& __x); 3347 3348 template <class _CharT, class _Traits, 3349 class _Eng, size_t _Kp> 3350 friend 3351 basic_istream<_CharT, _Traits>& 3352 operator>>(basic_istream<_CharT, _Traits>& __is, 3353 shuffle_order_engine<_Eng, _Kp>& __x); 3354 3355 _LIBCPP_INLINE_VISIBILITY 3356 void __init() 3357 { 3358 for (size_t __i = 0; __i < __k; ++__i) 3359 _V_[__i] = __e_(); 3360 _Y_ = __e_(); 3361 } 3362 3363 _LIBCPP_INLINE_VISIBILITY 3364 result_type __eval(false_type) {return __eval2(integral_constant<bool, __k & 1>());} 3365 _LIBCPP_INLINE_VISIBILITY 3366 result_type __eval(true_type) {return __eval(__uratio<__k, _Rp>());} 3367 3368 _LIBCPP_INLINE_VISIBILITY 3369 result_type __eval2(false_type) {return __eval(__uratio<__k/2, 0x8000000000000000ull>());} 3370 _LIBCPP_INLINE_VISIBILITY 3371 result_type __eval2(true_type) {return __evalf<__k, 0>();} 3372 3373 template <uint64_t _Np, uint64_t _Dp> 3374 _LIBCPP_INLINE_VISIBILITY 3375 typename enable_if 3376 < 3377 (__uratio<_Np, _Dp>::num > 0xFFFFFFFFFFFFFFFFull / (_Max - _Min)), 3378 result_type 3379 >::type 3380 __eval(__uratio<_Np, _Dp>) 3381 {return __evalf<__uratio<_Np, _Dp>::num, __uratio<_Np, _Dp>::den>();} 3382 3383 template <uint64_t _Np, uint64_t _Dp> 3384 _LIBCPP_INLINE_VISIBILITY 3385 typename enable_if 3386 < 3387 __uratio<_Np, _Dp>::num <= 0xFFFFFFFFFFFFFFFFull / (_Max - _Min), 3388 result_type 3389 >::type 3390 __eval(__uratio<_Np, _Dp>) 3391 { 3392 const size_t __j = static_cast<size_t>(__uratio<_Np, _Dp>::num * (_Y_ - _Min) 3393 / __uratio<_Np, _Dp>::den); 3394 _Y_ = _V_[__j]; 3395 _V_[__j] = __e_(); 3396 return _Y_; 3397 } 3398 3399 template <uint64_t __n, uint64_t __d> 3400 _LIBCPP_INLINE_VISIBILITY 3401 result_type __evalf() 3402 { 3403 const double _Fp = __d == 0 ? 3404 __n / (2. * 0x8000000000000000ull) : 3405 __n / (double)__d; 3406 const size_t __j = static_cast<size_t>(_Fp * (_Y_ - _Min)); 3407 _Y_ = _V_[__j]; 3408 _V_[__j] = __e_(); 3409 return _Y_; 3410 } 3411}; 3412 3413template<class _Engine, size_t __k> 3414 _LIBCPP_CONSTEXPR const size_t shuffle_order_engine<_Engine, __k>::table_size; 3415 3416template<class _Eng, size_t _Kp> 3417bool 3418operator==( 3419 const shuffle_order_engine<_Eng, _Kp>& __x, 3420 const shuffle_order_engine<_Eng, _Kp>& __y) 3421{ 3422 return __x._Y_ == __y._Y_ && _VSTD::equal(__x._V_, __x._V_ + _Kp, __y._V_) && 3423 __x.__e_ == __y.__e_; 3424} 3425 3426template<class _Eng, size_t _Kp> 3427inline _LIBCPP_INLINE_VISIBILITY 3428bool 3429operator!=( 3430 const shuffle_order_engine<_Eng, _Kp>& __x, 3431 const shuffle_order_engine<_Eng, _Kp>& __y) 3432{ 3433 return !(__x == __y); 3434} 3435 3436template <class _CharT, class _Traits, 3437 class _Eng, size_t _Kp> 3438basic_ostream<_CharT, _Traits>& 3439operator<<(basic_ostream<_CharT, _Traits>& __os, 3440 const shuffle_order_engine<_Eng, _Kp>& __x) 3441{ 3442 __save_flags<_CharT, _Traits> __lx(__os); 3443 __os.flags(ios_base::dec | ios_base::left); 3444 _CharT __sp = __os.widen(' '); 3445 __os.fill(__sp); 3446 __os << __x.__e_ << __sp << __x._V_[0]; 3447 for (size_t __i = 1; __i < _Kp; ++__i) 3448 __os << __sp << __x._V_[__i]; 3449 return __os << __sp << __x._Y_; 3450} 3451 3452template <class _CharT, class _Traits, 3453 class _Eng, size_t _Kp> 3454basic_istream<_CharT, _Traits>& 3455operator>>(basic_istream<_CharT, _Traits>& __is, 3456 shuffle_order_engine<_Eng, _Kp>& __x) 3457{ 3458 typedef typename shuffle_order_engine<_Eng, _Kp>::result_type result_type; 3459 __save_flags<_CharT, _Traits> __lx(__is); 3460 __is.flags(ios_base::dec | ios_base::skipws); 3461 _Eng __e; 3462 result_type _Vp[_Kp+1]; 3463 __is >> __e; 3464 for (size_t __i = 0; __i < _Kp+1; ++__i) 3465 __is >> _Vp[__i]; 3466 if (!__is.fail()) 3467 { 3468 __x.__e_ = __e; 3469 for (size_t __i = 0; __i < _Kp; ++__i) 3470 __x._V_[__i] = _Vp[__i]; 3471 __x._Y_ = _Vp[_Kp]; 3472 } 3473 return __is; 3474} 3475 3476typedef shuffle_order_engine<minstd_rand0, 256> knuth_b; 3477 3478// random_device 3479 3480class _LIBCPP_TYPE_VIS random_device 3481{ 3482#ifdef _LIBCPP_USING_DEV_RANDOM 3483 int __f_; 3484#endif // defined(_LIBCPP_USING_DEV_RANDOM) 3485public: 3486 // types 3487 typedef unsigned result_type; 3488 3489 // generator characteristics 3490 static _LIBCPP_CONSTEXPR const result_type _Min = 0; 3491 static _LIBCPP_CONSTEXPR const result_type _Max = 0xFFFFFFFFu; 3492 3493 _LIBCPP_INLINE_VISIBILITY 3494 static _LIBCPP_CONSTEXPR result_type min() { return _Min;} 3495 _LIBCPP_INLINE_VISIBILITY 3496 static _LIBCPP_CONSTEXPR result_type max() { return _Max;} 3497 3498 // constructors 3499 explicit random_device(const string& __token = "/dev/urandom"); 3500 ~random_device(); 3501 3502 // generating functions 3503 result_type operator()(); 3504 3505 // property functions 3506 double entropy() const _NOEXCEPT; 3507 3508private: 3509 // no copy functions 3510 random_device(const random_device&); // = delete; 3511 random_device& operator=(const random_device&); // = delete; 3512}; 3513 3514// seed_seq 3515 3516class _LIBCPP_TEMPLATE_VIS seed_seq 3517{ 3518public: 3519 // types 3520 typedef uint32_t result_type; 3521 3522private: 3523 vector<result_type> __v_; 3524 3525 template<class _InputIterator> 3526 void init(_InputIterator __first, _InputIterator __last); 3527public: 3528 // constructors 3529 _LIBCPP_INLINE_VISIBILITY 3530 seed_seq() _NOEXCEPT {} 3531#ifndef _LIBCPP_CXX03_LANG 3532 template<class _Tp> 3533 _LIBCPP_INLINE_VISIBILITY 3534 seed_seq(initializer_list<_Tp> __il) {init(__il.begin(), __il.end());} 3535#endif // _LIBCPP_CXX03_LANG 3536 3537 template<class _InputIterator> 3538 _LIBCPP_INLINE_VISIBILITY 3539 seed_seq(_InputIterator __first, _InputIterator __last) 3540 {init(__first, __last);} 3541 3542 // generating functions 3543 template<class _RandomAccessIterator> 3544 void generate(_RandomAccessIterator __first, _RandomAccessIterator __last); 3545 3546 // property functions 3547 _LIBCPP_INLINE_VISIBILITY 3548 size_t size() const _NOEXCEPT {return __v_.size();} 3549 template<class _OutputIterator> 3550 _LIBCPP_INLINE_VISIBILITY 3551 void param(_OutputIterator __dest) const 3552 {_VSTD::copy(__v_.begin(), __v_.end(), __dest);} 3553 3554private: 3555 // no copy functions 3556 seed_seq(const seed_seq&); // = delete; 3557 void operator=(const seed_seq&); // = delete; 3558 3559 _LIBCPP_INLINE_VISIBILITY 3560 static result_type _Tp(result_type __x) {return __x ^ (__x >> 27);} 3561}; 3562 3563template<class _InputIterator> 3564void 3565seed_seq::init(_InputIterator __first, _InputIterator __last) 3566{ 3567 for (_InputIterator __s = __first; __s != __last; ++__s) 3568 __v_.push_back(*__s & 0xFFFFFFFF); 3569} 3570 3571template<class _RandomAccessIterator> 3572void 3573seed_seq::generate(_RandomAccessIterator __first, _RandomAccessIterator __last) 3574{ 3575 if (__first != __last) 3576 { 3577 _VSTD::fill(__first, __last, 0x8b8b8b8b); 3578 const size_t __n = static_cast<size_t>(__last - __first); 3579 const size_t __s = __v_.size(); 3580 const size_t __t = (__n >= 623) ? 11 3581 : (__n >= 68) ? 7 3582 : (__n >= 39) ? 5 3583 : (__n >= 7) ? 3 3584 : (__n - 1) / 2; 3585 const size_t __p = (__n - __t) / 2; 3586 const size_t __q = __p + __t; 3587 const size_t __m = _VSTD::max(__s + 1, __n); 3588 // __k = 0; 3589 { 3590 result_type __r = 1664525 * _Tp(__first[0] ^ __first[__p] 3591 ^ __first[__n - 1]); 3592 __first[__p] += __r; 3593 __r += __s; 3594 __first[__q] += __r; 3595 __first[0] = __r; 3596 } 3597 for (size_t __k = 1; __k <= __s; ++__k) 3598 { 3599 const size_t __kmodn = __k % __n; 3600 const size_t __kpmodn = (__k + __p) % __n; 3601 result_type __r = 1664525 * _Tp(__first[__kmodn] ^ __first[__kpmodn] 3602 ^ __first[(__k - 1) % __n]); 3603 __first[__kpmodn] += __r; 3604 __r += __kmodn + __v_[__k-1]; 3605 __first[(__k + __q) % __n] += __r; 3606 __first[__kmodn] = __r; 3607 } 3608 for (size_t __k = __s + 1; __k < __m; ++__k) 3609 { 3610 const size_t __kmodn = __k % __n; 3611 const size_t __kpmodn = (__k + __p) % __n; 3612 result_type __r = 1664525 * _Tp(__first[__kmodn] ^ __first[__kpmodn] 3613 ^ __first[(__k - 1) % __n]); 3614 __first[__kpmodn] += __r; 3615 __r += __kmodn; 3616 __first[(__k + __q) % __n] += __r; 3617 __first[__kmodn] = __r; 3618 } 3619 for (size_t __k = __m; __k < __m + __n; ++__k) 3620 { 3621 const size_t __kmodn = __k % __n; 3622 const size_t __kpmodn = (__k + __p) % __n; 3623 result_type __r = 1566083941 * _Tp(__first[__kmodn] + 3624 __first[__kpmodn] + 3625 __first[(__k - 1) % __n]); 3626 __first[__kpmodn] ^= __r; 3627 __r -= __kmodn; 3628 __first[(__k + __q) % __n] ^= __r; 3629 __first[__kmodn] = __r; 3630 } 3631 } 3632} 3633 3634// generate_canonical 3635 3636template<class _RealType, size_t __bits, class _URNG> 3637_RealType 3638generate_canonical(_URNG& __g) 3639{ 3640 const size_t _Dt = numeric_limits<_RealType>::digits; 3641 const size_t __b = _Dt < __bits ? _Dt : __bits; 3642#ifdef _LIBCPP_CXX03_LANG 3643 const size_t __logR = __log2<uint64_t, _URNG::_Max - _URNG::_Min + uint64_t(1)>::value; 3644#else 3645 const size_t __logR = __log2<uint64_t, _URNG::max() - _URNG::min() + uint64_t(1)>::value; 3646#endif 3647 const size_t __k = __b / __logR + (__b % __logR != 0) + (__b == 0); 3648 const _RealType _Rp = static_cast<_RealType>(_URNG::max() - _URNG::min()) + _RealType(1); 3649 _RealType __base = _Rp; 3650 _RealType _Sp = __g() - _URNG::min(); 3651 for (size_t __i = 1; __i < __k; ++__i, __base *= _Rp) 3652 _Sp += (__g() - _URNG::min()) * __base; 3653 return _Sp / __base; 3654} 3655 3656// uniform_int_distribution 3657 3658// in <algorithm> 3659 3660template <class _CharT, class _Traits, class _IT> 3661basic_ostream<_CharT, _Traits>& 3662operator<<(basic_ostream<_CharT, _Traits>& __os, 3663 const uniform_int_distribution<_IT>& __x) 3664{ 3665 __save_flags<_CharT, _Traits> __lx(__os); 3666 __os.flags(ios_base::dec | ios_base::left); 3667 _CharT __sp = __os.widen(' '); 3668 __os.fill(__sp); 3669 return __os << __x.a() << __sp << __x.b(); 3670} 3671 3672template <class _CharT, class _Traits, class _IT> 3673basic_istream<_CharT, _Traits>& 3674operator>>(basic_istream<_CharT, _Traits>& __is, 3675 uniform_int_distribution<_IT>& __x) 3676{ 3677 typedef uniform_int_distribution<_IT> _Eng; 3678 typedef typename _Eng::result_type result_type; 3679 typedef typename _Eng::param_type param_type; 3680 __save_flags<_CharT, _Traits> __lx(__is); 3681 __is.flags(ios_base::dec | ios_base::skipws); 3682 result_type __a; 3683 result_type __b; 3684 __is >> __a >> __b; 3685 if (!__is.fail()) 3686 __x.param(param_type(__a, __b)); 3687 return __is; 3688} 3689 3690// uniform_real_distribution 3691 3692template<class _RealType = double> 3693class _LIBCPP_TEMPLATE_VIS uniform_real_distribution 3694{ 3695public: 3696 // types 3697 typedef _RealType result_type; 3698 3699 class _LIBCPP_TEMPLATE_VIS param_type 3700 { 3701 result_type __a_; 3702 result_type __b_; 3703 public: 3704 typedef uniform_real_distribution distribution_type; 3705 3706 _LIBCPP_INLINE_VISIBILITY 3707 explicit param_type(result_type __a = 0, 3708 result_type __b = 1) 3709 : __a_(__a), __b_(__b) {} 3710 3711 _LIBCPP_INLINE_VISIBILITY 3712 result_type a() const {return __a_;} 3713 _LIBCPP_INLINE_VISIBILITY 3714 result_type b() const {return __b_;} 3715 3716 friend _LIBCPP_INLINE_VISIBILITY 3717 bool operator==(const param_type& __x, const param_type& __y) 3718 {return __x.__a_ == __y.__a_ && __x.__b_ == __y.__b_;} 3719 friend _LIBCPP_INLINE_VISIBILITY 3720 bool operator!=(const param_type& __x, const param_type& __y) 3721 {return !(__x == __y);} 3722 }; 3723 3724private: 3725 param_type __p_; 3726 3727public: 3728 // constructors and reset functions 3729 _LIBCPP_INLINE_VISIBILITY 3730 explicit uniform_real_distribution(result_type __a = 0, result_type __b = 1) 3731 : __p_(param_type(__a, __b)) {} 3732 _LIBCPP_INLINE_VISIBILITY 3733 explicit uniform_real_distribution(const param_type& __p) : __p_(__p) {} 3734 _LIBCPP_INLINE_VISIBILITY 3735 void reset() {} 3736 3737 // generating functions 3738 template<class _URNG> 3739 _LIBCPP_INLINE_VISIBILITY 3740 result_type operator()(_URNG& __g) 3741 {return (*this)(__g, __p_);} 3742 template<class _URNG> _LIBCPP_INLINE_VISIBILITY result_type operator()(_URNG& __g, const param_type& __p); 3743 3744 // property functions 3745 _LIBCPP_INLINE_VISIBILITY 3746 result_type a() const {return __p_.a();} 3747 _LIBCPP_INLINE_VISIBILITY 3748 result_type b() const {return __p_.b();} 3749 3750 _LIBCPP_INLINE_VISIBILITY 3751 param_type param() const {return __p_;} 3752 _LIBCPP_INLINE_VISIBILITY 3753 void param(const param_type& __p) {__p_ = __p;} 3754 3755 _LIBCPP_INLINE_VISIBILITY 3756 result_type min() const {return a();} 3757 _LIBCPP_INLINE_VISIBILITY 3758 result_type max() const {return b();} 3759 3760 friend _LIBCPP_INLINE_VISIBILITY 3761 bool operator==(const uniform_real_distribution& __x, 3762 const uniform_real_distribution& __y) 3763 {return __x.__p_ == __y.__p_;} 3764 friend _LIBCPP_INLINE_VISIBILITY 3765 bool operator!=(const uniform_real_distribution& __x, 3766 const uniform_real_distribution& __y) 3767 {return !(__x == __y);} 3768}; 3769 3770template<class _RealType> 3771template<class _URNG> 3772inline 3773typename uniform_real_distribution<_RealType>::result_type 3774uniform_real_distribution<_RealType>::operator()(_URNG& __g, const param_type& __p) 3775{ 3776 return (__p.b() - __p.a()) 3777 * _VSTD::generate_canonical<_RealType, numeric_limits<_RealType>::digits>(__g) 3778 + __p.a(); 3779} 3780 3781template <class _CharT, class _Traits, class _RT> 3782basic_ostream<_CharT, _Traits>& 3783operator<<(basic_ostream<_CharT, _Traits>& __os, 3784 const uniform_real_distribution<_RT>& __x) 3785{ 3786 __save_flags<_CharT, _Traits> __lx(__os); 3787 __os.flags(ios_base::dec | ios_base::left | ios_base::fixed | 3788 ios_base::scientific); 3789 _CharT __sp = __os.widen(' '); 3790 __os.fill(__sp); 3791 return __os << __x.a() << __sp << __x.b(); 3792} 3793 3794template <class _CharT, class _Traits, class _RT> 3795basic_istream<_CharT, _Traits>& 3796operator>>(basic_istream<_CharT, _Traits>& __is, 3797 uniform_real_distribution<_RT>& __x) 3798{ 3799 typedef uniform_real_distribution<_RT> _Eng; 3800 typedef typename _Eng::result_type result_type; 3801 typedef typename _Eng::param_type param_type; 3802 __save_flags<_CharT, _Traits> __lx(__is); 3803 __is.flags(ios_base::dec | ios_base::skipws); 3804 result_type __a; 3805 result_type __b; 3806 __is >> __a >> __b; 3807 if (!__is.fail()) 3808 __x.param(param_type(__a, __b)); 3809 return __is; 3810} 3811 3812// bernoulli_distribution 3813 3814class _LIBCPP_TEMPLATE_VIS bernoulli_distribution 3815{ 3816public: 3817 // types 3818 typedef bool result_type; 3819 3820 class _LIBCPP_TEMPLATE_VIS param_type 3821 { 3822 double __p_; 3823 public: 3824 typedef bernoulli_distribution distribution_type; 3825 3826 _LIBCPP_INLINE_VISIBILITY 3827 explicit param_type(double __p = 0.5) : __p_(__p) {} 3828 3829 _LIBCPP_INLINE_VISIBILITY 3830 double p() const {return __p_;} 3831 3832 friend _LIBCPP_INLINE_VISIBILITY 3833 bool operator==(const param_type& __x, const param_type& __y) 3834 {return __x.__p_ == __y.__p_;} 3835 friend _LIBCPP_INLINE_VISIBILITY 3836 bool operator!=(const param_type& __x, const param_type& __y) 3837 {return !(__x == __y);} 3838 }; 3839 3840private: 3841 param_type __p_; 3842 3843public: 3844 // constructors and reset functions 3845 _LIBCPP_INLINE_VISIBILITY 3846 explicit bernoulli_distribution(double __p = 0.5) 3847 : __p_(param_type(__p)) {} 3848 _LIBCPP_INLINE_VISIBILITY 3849 explicit bernoulli_distribution(const param_type& __p) : __p_(__p) {} 3850 _LIBCPP_INLINE_VISIBILITY 3851 void reset() {} 3852 3853 // generating functions 3854 template<class _URNG> 3855 _LIBCPP_INLINE_VISIBILITY 3856 result_type operator()(_URNG& __g) 3857 {return (*this)(__g, __p_);} 3858 template<class _URNG> _LIBCPP_INLINE_VISIBILITY result_type operator()(_URNG& __g, const param_type& __p); 3859 3860 // property functions 3861 _LIBCPP_INLINE_VISIBILITY 3862 double p() const {return __p_.p();} 3863 3864 _LIBCPP_INLINE_VISIBILITY 3865 param_type param() const {return __p_;} 3866 _LIBCPP_INLINE_VISIBILITY 3867 void param(const param_type& __p) {__p_ = __p;} 3868 3869 _LIBCPP_INLINE_VISIBILITY 3870 result_type min() const {return false;} 3871 _LIBCPP_INLINE_VISIBILITY 3872 result_type max() const {return true;} 3873 3874 friend _LIBCPP_INLINE_VISIBILITY 3875 bool operator==(const bernoulli_distribution& __x, 3876 const bernoulli_distribution& __y) 3877 {return __x.__p_ == __y.__p_;} 3878 friend _LIBCPP_INLINE_VISIBILITY 3879 bool operator!=(const bernoulli_distribution& __x, 3880 const bernoulli_distribution& __y) 3881 {return !(__x == __y);} 3882}; 3883 3884template<class _URNG> 3885inline 3886bernoulli_distribution::result_type 3887bernoulli_distribution::operator()(_URNG& __g, const param_type& __p) 3888{ 3889 uniform_real_distribution<double> __gen; 3890 return __gen(__g) < __p.p(); 3891} 3892 3893template <class _CharT, class _Traits> 3894basic_ostream<_CharT, _Traits>& 3895operator<<(basic_ostream<_CharT, _Traits>& __os, const bernoulli_distribution& __x) 3896{ 3897 __save_flags<_CharT, _Traits> __lx(__os); 3898 __os.flags(ios_base::dec | ios_base::left | ios_base::fixed | 3899 ios_base::scientific); 3900 _CharT __sp = __os.widen(' '); 3901 __os.fill(__sp); 3902 return __os << __x.p(); 3903} 3904 3905template <class _CharT, class _Traits> 3906basic_istream<_CharT, _Traits>& 3907operator>>(basic_istream<_CharT, _Traits>& __is, bernoulli_distribution& __x) 3908{ 3909 typedef bernoulli_distribution _Eng; 3910 typedef typename _Eng::param_type param_type; 3911 __save_flags<_CharT, _Traits> __lx(__is); 3912 __is.flags(ios_base::dec | ios_base::skipws); 3913 double __p; 3914 __is >> __p; 3915 if (!__is.fail()) 3916 __x.param(param_type(__p)); 3917 return __is; 3918} 3919 3920// binomial_distribution 3921 3922template<class _IntType = int> 3923class _LIBCPP_TEMPLATE_VIS binomial_distribution 3924{ 3925public: 3926 // types 3927 typedef _IntType result_type; 3928 3929 class _LIBCPP_TEMPLATE_VIS param_type 3930 { 3931 result_type __t_; 3932 double __p_; 3933 double __pr_; 3934 double __odds_ratio_; 3935 result_type __r0_; 3936 public: 3937 typedef binomial_distribution distribution_type; 3938 3939 explicit param_type(result_type __t = 1, double __p = 0.5); 3940 3941 _LIBCPP_INLINE_VISIBILITY 3942 result_type t() const {return __t_;} 3943 _LIBCPP_INLINE_VISIBILITY 3944 double p() const {return __p_;} 3945 3946 friend _LIBCPP_INLINE_VISIBILITY 3947 bool operator==(const param_type& __x, const param_type& __y) 3948 {return __x.__t_ == __y.__t_ && __x.__p_ == __y.__p_;} 3949 friend _LIBCPP_INLINE_VISIBILITY 3950 bool operator!=(const param_type& __x, const param_type& __y) 3951 {return !(__x == __y);} 3952 3953 friend class binomial_distribution; 3954 }; 3955 3956private: 3957 param_type __p_; 3958 3959public: 3960 // constructors and reset functions 3961 _LIBCPP_INLINE_VISIBILITY 3962 explicit binomial_distribution(result_type __t = 1, double __p = 0.5) 3963 : __p_(param_type(__t, __p)) {} 3964 _LIBCPP_INLINE_VISIBILITY 3965 explicit binomial_distribution(const param_type& __p) : __p_(__p) {} 3966 _LIBCPP_INLINE_VISIBILITY 3967 void reset() {} 3968 3969 // generating functions 3970 template<class _URNG> 3971 _LIBCPP_INLINE_VISIBILITY 3972 result_type operator()(_URNG& __g) 3973 {return (*this)(__g, __p_);} 3974 template<class _URNG> result_type operator()(_URNG& __g, const param_type& __p); 3975 3976 // property functions 3977 _LIBCPP_INLINE_VISIBILITY 3978 result_type t() const {return __p_.t();} 3979 _LIBCPP_INLINE_VISIBILITY 3980 double p() const {return __p_.p();} 3981 3982 _LIBCPP_INLINE_VISIBILITY 3983 param_type param() const {return __p_;} 3984 _LIBCPP_INLINE_VISIBILITY 3985 void param(const param_type& __p) {__p_ = __p;} 3986 3987 _LIBCPP_INLINE_VISIBILITY 3988 result_type min() const {return 0;} 3989 _LIBCPP_INLINE_VISIBILITY 3990 result_type max() const {return t();} 3991 3992 friend _LIBCPP_INLINE_VISIBILITY 3993 bool operator==(const binomial_distribution& __x, 3994 const binomial_distribution& __y) 3995 {return __x.__p_ == __y.__p_;} 3996 friend _LIBCPP_INLINE_VISIBILITY 3997 bool operator!=(const binomial_distribution& __x, 3998 const binomial_distribution& __y) 3999 {return !(__x == __y);} 4000}; 4001 4002#ifndef _LIBCPP_MSVCRT 4003extern "C" double lgamma_r(double, int *); 4004#endif 4005 4006inline _LIBCPP_INLINE_VISIBILITY double __libcpp_lgamma(double __d) { 4007#if defined(_LIBCPP_MSVCRT) 4008 return lgamma(__d); 4009#else 4010 int __sign; 4011 return lgamma_r(__d, &__sign); 4012#endif 4013} 4014 4015template<class _IntType> 4016binomial_distribution<_IntType>::param_type::param_type(const result_type __t, const double __p) 4017 : __t_(__t), __p_(__p) 4018{ 4019 if (0 < __p_ && __p_ < 1) 4020 { 4021 __r0_ = static_cast<result_type>((__t_ + 1) * __p_); 4022 __pr_ = _VSTD::exp(__libcpp_lgamma(__t_ + 1.) - 4023 __libcpp_lgamma(__r0_ + 1.) - 4024 __libcpp_lgamma(__t_ - __r0_ + 1.) + __r0_ * _VSTD::log(__p_) + 4025 (__t_ - __r0_) * _VSTD::log(1 - __p_)); 4026 __odds_ratio_ = __p_ / (1 - __p_); 4027 } 4028} 4029 4030// Reference: Kemp, C.D. (1986). `A modal method for generating binomial 4031// variables', Commun. Statist. - Theor. Meth. 15(3), 805-813. 4032template<class _IntType> 4033template<class _URNG> 4034_IntType 4035binomial_distribution<_IntType>::operator()(_URNG& __g, const param_type& __pr) 4036{ 4037 if (__pr.__t_ == 0 || __pr.__p_ == 0) 4038 return 0; 4039 if (__pr.__p_ == 1) 4040 return __pr.__t_; 4041 uniform_real_distribution<double> __gen; 4042 double __u = __gen(__g) - __pr.__pr_; 4043 if (__u < 0) 4044 return __pr.__r0_; 4045 double __pu = __pr.__pr_; 4046 double __pd = __pu; 4047 result_type __ru = __pr.__r0_; 4048 result_type __rd = __ru; 4049 while (true) 4050 { 4051 if (__rd >= 1) 4052 { 4053 __pd *= __rd / (__pr.__odds_ratio_ * (__pr.__t_ - __rd + 1)); 4054 __u -= __pd; 4055 if (__u < 0) 4056 return __rd - 1; 4057 } 4058 if ( __rd != 0 ) 4059 --__rd; 4060 ++__ru; 4061 if (__ru <= __pr.__t_) 4062 { 4063 __pu *= (__pr.__t_ - __ru + 1) * __pr.__odds_ratio_ / __ru; 4064 __u -= __pu; 4065 if (__u < 0) 4066 return __ru; 4067 } 4068 } 4069} 4070 4071template <class _CharT, class _Traits, class _IntType> 4072basic_ostream<_CharT, _Traits>& 4073operator<<(basic_ostream<_CharT, _Traits>& __os, 4074 const binomial_distribution<_IntType>& __x) 4075{ 4076 __save_flags<_CharT, _Traits> __lx(__os); 4077 __os.flags(ios_base::dec | ios_base::left | ios_base::fixed | 4078 ios_base::scientific); 4079 _CharT __sp = __os.widen(' '); 4080 __os.fill(__sp); 4081 return __os << __x.t() << __sp << __x.p(); 4082} 4083 4084template <class _CharT, class _Traits, class _IntType> 4085basic_istream<_CharT, _Traits>& 4086operator>>(basic_istream<_CharT, _Traits>& __is, 4087 binomial_distribution<_IntType>& __x) 4088{ 4089 typedef binomial_distribution<_IntType> _Eng; 4090 typedef typename _Eng::result_type result_type; 4091 typedef typename _Eng::param_type param_type; 4092 __save_flags<_CharT, _Traits> __lx(__is); 4093 __is.flags(ios_base::dec | ios_base::skipws); 4094 result_type __t; 4095 double __p; 4096 __is >> __t >> __p; 4097 if (!__is.fail()) 4098 __x.param(param_type(__t, __p)); 4099 return __is; 4100} 4101 4102// exponential_distribution 4103 4104template<class _RealType = double> 4105class _LIBCPP_TEMPLATE_VIS exponential_distribution 4106{ 4107public: 4108 // types 4109 typedef _RealType result_type; 4110 4111 class _LIBCPP_TEMPLATE_VIS param_type 4112 { 4113 result_type __lambda_; 4114 public: 4115 typedef exponential_distribution distribution_type; 4116 4117 _LIBCPP_INLINE_VISIBILITY 4118 explicit param_type(result_type __lambda = 1) : __lambda_(__lambda) {} 4119 4120 _LIBCPP_INLINE_VISIBILITY 4121 result_type lambda() const {return __lambda_;} 4122 4123 friend _LIBCPP_INLINE_VISIBILITY 4124 bool operator==(const param_type& __x, const param_type& __y) 4125 {return __x.__lambda_ == __y.__lambda_;} 4126 friend _LIBCPP_INLINE_VISIBILITY 4127 bool operator!=(const param_type& __x, const param_type& __y) 4128 {return !(__x == __y);} 4129 }; 4130 4131private: 4132 param_type __p_; 4133 4134public: 4135 // constructors and reset functions 4136 _LIBCPP_INLINE_VISIBILITY 4137 explicit exponential_distribution(result_type __lambda = 1) 4138 : __p_(param_type(__lambda)) {} 4139 _LIBCPP_INLINE_VISIBILITY 4140 explicit exponential_distribution(const param_type& __p) : __p_(__p) {} 4141 _LIBCPP_INLINE_VISIBILITY 4142 void reset() {} 4143 4144 // generating functions 4145 template<class _URNG> 4146 _LIBCPP_INLINE_VISIBILITY 4147 result_type operator()(_URNG& __g) 4148 {return (*this)(__g, __p_);} 4149 template<class _URNG> result_type operator()(_URNG& __g, const param_type& __p); 4150 4151 // property functions 4152 _LIBCPP_INLINE_VISIBILITY 4153 result_type lambda() const {return __p_.lambda();} 4154 4155 _LIBCPP_INLINE_VISIBILITY 4156 param_type param() const {return __p_;} 4157 _LIBCPP_INLINE_VISIBILITY 4158 void param(const param_type& __p) {__p_ = __p;} 4159 4160 _LIBCPP_INLINE_VISIBILITY 4161 result_type min() const {return 0;} 4162 _LIBCPP_INLINE_VISIBILITY 4163 result_type max() const {return numeric_limits<result_type>::infinity();} 4164 4165 friend _LIBCPP_INLINE_VISIBILITY 4166 bool operator==(const exponential_distribution& __x, 4167 const exponential_distribution& __y) 4168 {return __x.__p_ == __y.__p_;} 4169 friend _LIBCPP_INLINE_VISIBILITY 4170 bool operator!=(const exponential_distribution& __x, 4171 const exponential_distribution& __y) 4172 {return !(__x == __y);} 4173}; 4174 4175template <class _RealType> 4176template<class _URNG> 4177_RealType 4178exponential_distribution<_RealType>::operator()(_URNG& __g, const param_type& __p) 4179{ 4180 return -_VSTD::log 4181 ( 4182 result_type(1) - 4183 _VSTD::generate_canonical<result_type, 4184 numeric_limits<result_type>::digits>(__g) 4185 ) 4186 / __p.lambda(); 4187} 4188 4189template <class _CharT, class _Traits, class _RealType> 4190basic_ostream<_CharT, _Traits>& 4191operator<<(basic_ostream<_CharT, _Traits>& __os, 4192 const exponential_distribution<_RealType>& __x) 4193{ 4194 __save_flags<_CharT, _Traits> __lx(__os); 4195 __os.flags(ios_base::dec | ios_base::left | ios_base::fixed | 4196 ios_base::scientific); 4197 return __os << __x.lambda(); 4198} 4199 4200template <class _CharT, class _Traits, class _RealType> 4201basic_istream<_CharT, _Traits>& 4202operator>>(basic_istream<_CharT, _Traits>& __is, 4203 exponential_distribution<_RealType>& __x) 4204{ 4205 typedef exponential_distribution<_RealType> _Eng; 4206 typedef typename _Eng::result_type result_type; 4207 typedef typename _Eng::param_type param_type; 4208 __save_flags<_CharT, _Traits> __lx(__is); 4209 __is.flags(ios_base::dec | ios_base::skipws); 4210 result_type __lambda; 4211 __is >> __lambda; 4212 if (!__is.fail()) 4213 __x.param(param_type(__lambda)); 4214 return __is; 4215} 4216 4217// normal_distribution 4218 4219template<class _RealType = double> 4220class _LIBCPP_TEMPLATE_VIS normal_distribution 4221{ 4222public: 4223 // types 4224 typedef _RealType result_type; 4225 4226 class _LIBCPP_TEMPLATE_VIS param_type 4227 { 4228 result_type __mean_; 4229 result_type __stddev_; 4230 public: 4231 typedef normal_distribution distribution_type; 4232 4233 _LIBCPP_INLINE_VISIBILITY 4234 explicit param_type(result_type __mean = 0, result_type __stddev = 1) 4235 : __mean_(__mean), __stddev_(__stddev) {} 4236 4237 _LIBCPP_INLINE_VISIBILITY 4238 result_type mean() const {return __mean_;} 4239 _LIBCPP_INLINE_VISIBILITY 4240 result_type stddev() const {return __stddev_;} 4241 4242 friend _LIBCPP_INLINE_VISIBILITY 4243 bool operator==(const param_type& __x, const param_type& __y) 4244 {return __x.__mean_ == __y.__mean_ && __x.__stddev_ == __y.__stddev_;} 4245 friend _LIBCPP_INLINE_VISIBILITY 4246 bool operator!=(const param_type& __x, const param_type& __y) 4247 {return !(__x == __y);} 4248 }; 4249 4250private: 4251 param_type __p_; 4252 result_type _V_; 4253 bool _V_hot_; 4254 4255public: 4256 // constructors and reset functions 4257 _LIBCPP_INLINE_VISIBILITY 4258 explicit normal_distribution(result_type __mean = 0, result_type __stddev = 1) 4259 : __p_(param_type(__mean, __stddev)), _V_hot_(false) {} 4260 _LIBCPP_INLINE_VISIBILITY 4261 explicit normal_distribution(const param_type& __p) 4262 : __p_(__p), _V_hot_(false) {} 4263 _LIBCPP_INLINE_VISIBILITY 4264 void reset() {_V_hot_ = false;} 4265 4266 // generating functions 4267 template<class _URNG> 4268 _LIBCPP_INLINE_VISIBILITY 4269 result_type operator()(_URNG& __g) 4270 {return (*this)(__g, __p_);} 4271 template<class _URNG> result_type operator()(_URNG& __g, const param_type& __p); 4272 4273 // property functions 4274 _LIBCPP_INLINE_VISIBILITY 4275 result_type mean() const {return __p_.mean();} 4276 _LIBCPP_INLINE_VISIBILITY 4277 result_type stddev() const {return __p_.stddev();} 4278 4279 _LIBCPP_INLINE_VISIBILITY 4280 param_type param() const {return __p_;} 4281 _LIBCPP_INLINE_VISIBILITY 4282 void param(const param_type& __p) {__p_ = __p;} 4283 4284 _LIBCPP_INLINE_VISIBILITY 4285 result_type min() const {return -numeric_limits<result_type>::infinity();} 4286 _LIBCPP_INLINE_VISIBILITY 4287 result_type max() const {return numeric_limits<result_type>::infinity();} 4288 4289 friend _LIBCPP_INLINE_VISIBILITY 4290 bool operator==(const normal_distribution& __x, 4291 const normal_distribution& __y) 4292 {return __x.__p_ == __y.__p_ && __x._V_hot_ == __y._V_hot_ && 4293 (!__x._V_hot_ || __x._V_ == __y._V_);} 4294 friend _LIBCPP_INLINE_VISIBILITY 4295 bool operator!=(const normal_distribution& __x, 4296 const normal_distribution& __y) 4297 {return !(__x == __y);} 4298 4299 template <class _CharT, class _Traits, class _RT> 4300 friend 4301 basic_ostream<_CharT, _Traits>& 4302 operator<<(basic_ostream<_CharT, _Traits>& __os, 4303 const normal_distribution<_RT>& __x); 4304 4305 template <class _CharT, class _Traits, class _RT> 4306 friend 4307 basic_istream<_CharT, _Traits>& 4308 operator>>(basic_istream<_CharT, _Traits>& __is, 4309 normal_distribution<_RT>& __x); 4310}; 4311 4312template <class _RealType> 4313template<class _URNG> 4314_RealType 4315normal_distribution<_RealType>::operator()(_URNG& __g, const param_type& __p) 4316{ 4317 result_type _Up; 4318 if (_V_hot_) 4319 { 4320 _V_hot_ = false; 4321 _Up = _V_; 4322 } 4323 else 4324 { 4325 uniform_real_distribution<result_type> _Uni(-1, 1); 4326 result_type __u; 4327 result_type __v; 4328 result_type __s; 4329 do 4330 { 4331 __u = _Uni(__g); 4332 __v = _Uni(__g); 4333 __s = __u * __u + __v * __v; 4334 } while (__s > 1 || __s == 0); 4335 result_type _Fp = _VSTD::sqrt(-2 * _VSTD::log(__s) / __s); 4336 _V_ = __v * _Fp; 4337 _V_hot_ = true; 4338 _Up = __u * _Fp; 4339 } 4340 return _Up * __p.stddev() + __p.mean(); 4341} 4342 4343template <class _CharT, class _Traits, class _RT> 4344basic_ostream<_CharT, _Traits>& 4345operator<<(basic_ostream<_CharT, _Traits>& __os, 4346 const normal_distribution<_RT>& __x) 4347{ 4348 __save_flags<_CharT, _Traits> __lx(__os); 4349 __os.flags(ios_base::dec | ios_base::left | ios_base::fixed | 4350 ios_base::scientific); 4351 _CharT __sp = __os.widen(' '); 4352 __os.fill(__sp); 4353 __os << __x.mean() << __sp << __x.stddev() << __sp << __x._V_hot_; 4354 if (__x._V_hot_) 4355 __os << __sp << __x._V_; 4356 return __os; 4357} 4358 4359template <class _CharT, class _Traits, class _RT> 4360basic_istream<_CharT, _Traits>& 4361operator>>(basic_istream<_CharT, _Traits>& __is, 4362 normal_distribution<_RT>& __x) 4363{ 4364 typedef normal_distribution<_RT> _Eng; 4365 typedef typename _Eng::result_type result_type; 4366 typedef typename _Eng::param_type param_type; 4367 __save_flags<_CharT, _Traits> __lx(__is); 4368 __is.flags(ios_base::dec | ios_base::skipws); 4369 result_type __mean; 4370 result_type __stddev; 4371 result_type _Vp = 0; 4372 bool _V_hot = false; 4373 __is >> __mean >> __stddev >> _V_hot; 4374 if (_V_hot) 4375 __is >> _Vp; 4376 if (!__is.fail()) 4377 { 4378 __x.param(param_type(__mean, __stddev)); 4379 __x._V_hot_ = _V_hot; 4380 __x._V_ = _Vp; 4381 } 4382 return __is; 4383} 4384 4385// lognormal_distribution 4386 4387template<class _RealType = double> 4388class _LIBCPP_TEMPLATE_VIS lognormal_distribution 4389{ 4390public: 4391 // types 4392 typedef _RealType result_type; 4393 4394 class _LIBCPP_TEMPLATE_VIS param_type 4395 { 4396 normal_distribution<result_type> __nd_; 4397 public: 4398 typedef lognormal_distribution distribution_type; 4399 4400 _LIBCPP_INLINE_VISIBILITY 4401 explicit param_type(result_type __m = 0, result_type __s = 1) 4402 : __nd_(__m, __s) {} 4403 4404 _LIBCPP_INLINE_VISIBILITY 4405 result_type m() const {return __nd_.mean();} 4406 _LIBCPP_INLINE_VISIBILITY 4407 result_type s() const {return __nd_.stddev();} 4408 4409 friend _LIBCPP_INLINE_VISIBILITY 4410 bool operator==(const param_type& __x, const param_type& __y) 4411 {return __x.__nd_ == __y.__nd_;} 4412 friend _LIBCPP_INLINE_VISIBILITY 4413 bool operator!=(const param_type& __x, const param_type& __y) 4414 {return !(__x == __y);} 4415 friend class lognormal_distribution; 4416 4417 template <class _CharT, class _Traits, class _RT> 4418 friend 4419 basic_ostream<_CharT, _Traits>& 4420 operator<<(basic_ostream<_CharT, _Traits>& __os, 4421 const lognormal_distribution<_RT>& __x); 4422 4423 template <class _CharT, class _Traits, class _RT> 4424 friend 4425 basic_istream<_CharT, _Traits>& 4426 operator>>(basic_istream<_CharT, _Traits>& __is, 4427 lognormal_distribution<_RT>& __x); 4428 }; 4429 4430private: 4431 param_type __p_; 4432 4433public: 4434 // constructor and reset functions 4435 _LIBCPP_INLINE_VISIBILITY 4436 explicit lognormal_distribution(result_type __m = 0, result_type __s = 1) 4437 : __p_(param_type(__m, __s)) {} 4438 _LIBCPP_INLINE_VISIBILITY 4439 explicit lognormal_distribution(const param_type& __p) 4440 : __p_(__p) {} 4441 _LIBCPP_INLINE_VISIBILITY 4442 void reset() {__p_.__nd_.reset();} 4443 4444 // generating functions 4445 template<class _URNG> 4446 _LIBCPP_INLINE_VISIBILITY 4447 result_type operator()(_URNG& __g) 4448 {return (*this)(__g, __p_);} 4449 template<class _URNG> 4450 _LIBCPP_INLINE_VISIBILITY 4451 result_type operator()(_URNG& __g, const param_type& __p) 4452 {return _VSTD::exp(const_cast<normal_distribution<result_type>&>(__p.__nd_)(__g));} 4453 4454 // property functions 4455 _LIBCPP_INLINE_VISIBILITY 4456 result_type m() const {return __p_.m();} 4457 _LIBCPP_INLINE_VISIBILITY 4458 result_type s() const {return __p_.s();} 4459 4460 _LIBCPP_INLINE_VISIBILITY 4461 param_type param() const {return __p_;} 4462 _LIBCPP_INLINE_VISIBILITY 4463 void param(const param_type& __p) {__p_ = __p;} 4464 4465 _LIBCPP_INLINE_VISIBILITY 4466 result_type min() const {return 0;} 4467 _LIBCPP_INLINE_VISIBILITY 4468 result_type max() const {return numeric_limits<result_type>::infinity();} 4469 4470 friend _LIBCPP_INLINE_VISIBILITY 4471 bool operator==(const lognormal_distribution& __x, 4472 const lognormal_distribution& __y) 4473 {return __x.__p_ == __y.__p_;} 4474 friend _LIBCPP_INLINE_VISIBILITY 4475 bool operator!=(const lognormal_distribution& __x, 4476 const lognormal_distribution& __y) 4477 {return !(__x == __y);} 4478 4479 template <class _CharT, class _Traits, class _RT> 4480 friend 4481 basic_ostream<_CharT, _Traits>& 4482 operator<<(basic_ostream<_CharT, _Traits>& __os, 4483 const lognormal_distribution<_RT>& __x); 4484 4485 template <class _CharT, class _Traits, class _RT> 4486 friend 4487 basic_istream<_CharT, _Traits>& 4488 operator>>(basic_istream<_CharT, _Traits>& __is, 4489 lognormal_distribution<_RT>& __x); 4490}; 4491 4492template <class _CharT, class _Traits, class _RT> 4493inline _LIBCPP_INLINE_VISIBILITY 4494basic_ostream<_CharT, _Traits>& 4495operator<<(basic_ostream<_CharT, _Traits>& __os, 4496 const lognormal_distribution<_RT>& __x) 4497{ 4498 return __os << __x.__p_.__nd_; 4499} 4500 4501template <class _CharT, class _Traits, class _RT> 4502inline _LIBCPP_INLINE_VISIBILITY 4503basic_istream<_CharT, _Traits>& 4504operator>>(basic_istream<_CharT, _Traits>& __is, 4505 lognormal_distribution<_RT>& __x) 4506{ 4507 return __is >> __x.__p_.__nd_; 4508} 4509 4510// poisson_distribution 4511 4512template<class _IntType = int> 4513class _LIBCPP_TEMPLATE_VIS poisson_distribution 4514{ 4515public: 4516 // types 4517 typedef _IntType result_type; 4518 4519 class _LIBCPP_TEMPLATE_VIS param_type 4520 { 4521 double __mean_; 4522 double __s_; 4523 double __d_; 4524 double __l_; 4525 double __omega_; 4526 double __c0_; 4527 double __c1_; 4528 double __c2_; 4529 double __c3_; 4530 double __c_; 4531 4532 public: 4533 typedef poisson_distribution distribution_type; 4534 4535 explicit param_type(double __mean = 1.0); 4536 4537 _LIBCPP_INLINE_VISIBILITY 4538 double mean() const {return __mean_;} 4539 4540 friend _LIBCPP_INLINE_VISIBILITY 4541 bool operator==(const param_type& __x, const param_type& __y) 4542 {return __x.__mean_ == __y.__mean_;} 4543 friend _LIBCPP_INLINE_VISIBILITY 4544 bool operator!=(const param_type& __x, const param_type& __y) 4545 {return !(__x == __y);} 4546 4547 friend class poisson_distribution; 4548 }; 4549 4550private: 4551 param_type __p_; 4552 4553public: 4554 // constructors and reset functions 4555 _LIBCPP_INLINE_VISIBILITY 4556 explicit poisson_distribution(double __mean = 1.0) : __p_(__mean) {} 4557 _LIBCPP_INLINE_VISIBILITY 4558 explicit poisson_distribution(const param_type& __p) : __p_(__p) {} 4559 _LIBCPP_INLINE_VISIBILITY 4560 void reset() {} 4561 4562 // generating functions 4563 template<class _URNG> 4564 _LIBCPP_INLINE_VISIBILITY 4565 result_type operator()(_URNG& __g) 4566 {return (*this)(__g, __p_);} 4567 template<class _URNG> result_type operator()(_URNG& __g, const param_type& __p); 4568 4569 // property functions 4570 _LIBCPP_INLINE_VISIBILITY 4571 double mean() const {return __p_.mean();} 4572 4573 _LIBCPP_INLINE_VISIBILITY 4574 param_type param() const {return __p_;} 4575 _LIBCPP_INLINE_VISIBILITY 4576 void param(const param_type& __p) {__p_ = __p;} 4577 4578 _LIBCPP_INLINE_VISIBILITY 4579 result_type min() const {return 0;} 4580 _LIBCPP_INLINE_VISIBILITY 4581 result_type max() const {return numeric_limits<result_type>::max();} 4582 4583 friend _LIBCPP_INLINE_VISIBILITY 4584 bool operator==(const poisson_distribution& __x, 4585 const poisson_distribution& __y) 4586 {return __x.__p_ == __y.__p_;} 4587 friend _LIBCPP_INLINE_VISIBILITY 4588 bool operator!=(const poisson_distribution& __x, 4589 const poisson_distribution& __y) 4590 {return !(__x == __y);} 4591}; 4592 4593template<class _IntType> 4594poisson_distribution<_IntType>::param_type::param_type(double __mean) 4595 // According to the standard `inf` is a valid input, but it causes the 4596 // distribution to hang, so we replace it with the maximum representable 4597 // mean. 4598 : __mean_(isinf(__mean) ? numeric_limits<double>::max() : __mean) 4599{ 4600 if (__mean_ < 10) 4601 { 4602 __s_ = 0; 4603 __d_ = 0; 4604 __l_ = _VSTD::exp(-__mean_); 4605 __omega_ = 0; 4606 __c3_ = 0; 4607 __c2_ = 0; 4608 __c1_ = 0; 4609 __c0_ = 0; 4610 __c_ = 0; 4611 } 4612 else 4613 { 4614 __s_ = _VSTD::sqrt(__mean_); 4615 __d_ = 6 * __mean_ * __mean_; 4616 __l_ = std::trunc(__mean_ - 1.1484); 4617 __omega_ = .3989423 / __s_; 4618 double __b1_ = .4166667E-1 / __mean_; 4619 double __b2_ = .3 * __b1_ * __b1_; 4620 __c3_ = .1428571 * __b1_ * __b2_; 4621 __c2_ = __b2_ - 15. * __c3_; 4622 __c1_ = __b1_ - 6. * __b2_ + 45. * __c3_; 4623 __c0_ = 1. - __b1_ + 3. * __b2_ - 15. * __c3_; 4624 __c_ = .1069 / __mean_; 4625 } 4626} 4627 4628template <class _IntType> 4629template<class _URNG> 4630_IntType 4631poisson_distribution<_IntType>::operator()(_URNG& __urng, const param_type& __pr) 4632{ 4633 double __tx; 4634 uniform_real_distribution<double> __urd; 4635 if (__pr.__mean_ < 10) 4636 { 4637 __tx = 0; 4638 for (double __p = __urd(__urng); __p > __pr.__l_; ++__tx) 4639 __p *= __urd(__urng); 4640 } 4641 else 4642 { 4643 double __difmuk; 4644 double __g = __pr.__mean_ + __pr.__s_ * normal_distribution<double>()(__urng); 4645 double __u; 4646 if (__g > 0) 4647 { 4648 __tx = std::trunc(__g); 4649 if (__tx >= __pr.__l_) 4650 return std::__clamp_to_integral<result_type>(__tx); 4651 __difmuk = __pr.__mean_ - __tx; 4652 __u = __urd(__urng); 4653 if (__pr.__d_ * __u >= __difmuk * __difmuk * __difmuk) 4654 return std::__clamp_to_integral<result_type>(__tx); 4655 } 4656 exponential_distribution<double> __edist; 4657 for (bool __using_exp_dist = false; true; __using_exp_dist = true) 4658 { 4659 double __e; 4660 if (__using_exp_dist || __g <= 0) 4661 { 4662 double __t; 4663 do 4664 { 4665 __e = __edist(__urng); 4666 __u = __urd(__urng); 4667 __u += __u - 1; 4668 __t = 1.8 + (__u < 0 ? -__e : __e); 4669 } while (__t <= -.6744); 4670 __tx = std::trunc(__pr.__mean_ + __pr.__s_ * __t); 4671 __difmuk = __pr.__mean_ - __tx; 4672 __using_exp_dist = true; 4673 } 4674 double __px; 4675 double __py; 4676 if (__tx < 10 && __tx >= 0) 4677 { 4678 const double __fac[] = {1, 1, 2, 6, 24, 120, 720, 5040, 4679 40320, 362880}; 4680 __px = -__pr.__mean_; 4681 __py = _VSTD::pow(__pr.__mean_, (double)__tx) / __fac[static_cast<int>(__tx)]; 4682 } 4683 else 4684 { 4685 double __del = .8333333E-1 / __tx; 4686 __del -= 4.8 * __del * __del * __del; 4687 double __v = __difmuk / __tx; 4688 if (_VSTD::abs(__v) > 0.25) 4689 __px = __tx * _VSTD::log(1 + __v) - __difmuk - __del; 4690 else 4691 __px = __tx * __v * __v * (((((((.1250060 * __v + -.1384794) * 4692 __v + .1421878) * __v + -.1661269) * __v + .2000118) * 4693 __v + -.2500068) * __v + .3333333) * __v + -.5) - __del; 4694 __py = .3989423 / _VSTD::sqrt(__tx); 4695 } 4696 double __r = (0.5 - __difmuk) / __pr.__s_; 4697 double __r2 = __r * __r; 4698 double __fx = -0.5 * __r2; 4699 double __fy = __pr.__omega_ * (((__pr.__c3_ * __r2 + __pr.__c2_) * 4700 __r2 + __pr.__c1_) * __r2 + __pr.__c0_); 4701 if (__using_exp_dist) 4702 { 4703 if (__pr.__c_ * _VSTD::abs(__u) <= __py * _VSTD::exp(__px + __e) - 4704 __fy * _VSTD::exp(__fx + __e)) 4705 break; 4706 } 4707 else 4708 { 4709 if (__fy - __u * __fy <= __py * _VSTD::exp(__px - __fx)) 4710 break; 4711 } 4712 } 4713 } 4714 return std::__clamp_to_integral<result_type>(__tx); 4715} 4716 4717template <class _CharT, class _Traits, class _IntType> 4718basic_ostream<_CharT, _Traits>& 4719operator<<(basic_ostream<_CharT, _Traits>& __os, 4720 const poisson_distribution<_IntType>& __x) 4721{ 4722 __save_flags<_CharT, _Traits> __lx(__os); 4723 __os.flags(ios_base::dec | ios_base::left | ios_base::fixed | 4724 ios_base::scientific); 4725 return __os << __x.mean(); 4726} 4727 4728template <class _CharT, class _Traits, class _IntType> 4729basic_istream<_CharT, _Traits>& 4730operator>>(basic_istream<_CharT, _Traits>& __is, 4731 poisson_distribution<_IntType>& __x) 4732{ 4733 typedef poisson_distribution<_IntType> _Eng; 4734 typedef typename _Eng::param_type param_type; 4735 __save_flags<_CharT, _Traits> __lx(__is); 4736 __is.flags(ios_base::dec | ios_base::skipws); 4737 double __mean; 4738 __is >> __mean; 4739 if (!__is.fail()) 4740 __x.param(param_type(__mean)); 4741 return __is; 4742} 4743 4744// weibull_distribution 4745 4746template<class _RealType = double> 4747class _LIBCPP_TEMPLATE_VIS weibull_distribution 4748{ 4749public: 4750 // types 4751 typedef _RealType result_type; 4752 4753 class _LIBCPP_TEMPLATE_VIS param_type 4754 { 4755 result_type __a_; 4756 result_type __b_; 4757 public: 4758 typedef weibull_distribution distribution_type; 4759 4760 _LIBCPP_INLINE_VISIBILITY 4761 explicit param_type(result_type __a = 1, result_type __b = 1) 4762 : __a_(__a), __b_(__b) {} 4763 4764 _LIBCPP_INLINE_VISIBILITY 4765 result_type a() const {return __a_;} 4766 _LIBCPP_INLINE_VISIBILITY 4767 result_type b() const {return __b_;} 4768 4769 friend _LIBCPP_INLINE_VISIBILITY 4770 bool operator==(const param_type& __x, const param_type& __y) 4771 {return __x.__a_ == __y.__a_ && __x.__b_ == __y.__b_;} 4772 friend _LIBCPP_INLINE_VISIBILITY 4773 bool operator!=(const param_type& __x, const param_type& __y) 4774 {return !(__x == __y);} 4775 }; 4776 4777private: 4778 param_type __p_; 4779 4780public: 4781 // constructor and reset functions 4782 _LIBCPP_INLINE_VISIBILITY 4783 explicit weibull_distribution(result_type __a = 1, result_type __b = 1) 4784 : __p_(param_type(__a, __b)) {} 4785 _LIBCPP_INLINE_VISIBILITY 4786 explicit weibull_distribution(const param_type& __p) 4787 : __p_(__p) {} 4788 _LIBCPP_INLINE_VISIBILITY 4789 void reset() {} 4790 4791 // generating functions 4792 template<class _URNG> 4793 _LIBCPP_INLINE_VISIBILITY 4794 result_type operator()(_URNG& __g) 4795 {return (*this)(__g, __p_);} 4796 template<class _URNG> 4797 _LIBCPP_INLINE_VISIBILITY 4798 result_type operator()(_URNG& __g, const param_type& __p) 4799 {return __p.b() * 4800 _VSTD::pow(exponential_distribution<result_type>()(__g), 1/__p.a());} 4801 4802 // property functions 4803 _LIBCPP_INLINE_VISIBILITY 4804 result_type a() const {return __p_.a();} 4805 _LIBCPP_INLINE_VISIBILITY 4806 result_type b() const {return __p_.b();} 4807 4808 _LIBCPP_INLINE_VISIBILITY 4809 param_type param() const {return __p_;} 4810 _LIBCPP_INLINE_VISIBILITY 4811 void param(const param_type& __p) {__p_ = __p;} 4812 4813 _LIBCPP_INLINE_VISIBILITY 4814 result_type min() const {return 0;} 4815 _LIBCPP_INLINE_VISIBILITY 4816 result_type max() const {return numeric_limits<result_type>::infinity();} 4817 4818 friend _LIBCPP_INLINE_VISIBILITY 4819 bool operator==(const weibull_distribution& __x, 4820 const weibull_distribution& __y) 4821 {return __x.__p_ == __y.__p_;} 4822 friend _LIBCPP_INLINE_VISIBILITY 4823 bool operator!=(const weibull_distribution& __x, 4824 const weibull_distribution& __y) 4825 {return !(__x == __y);} 4826}; 4827 4828template <class _CharT, class _Traits, class _RT> 4829basic_ostream<_CharT, _Traits>& 4830operator<<(basic_ostream<_CharT, _Traits>& __os, 4831 const weibull_distribution<_RT>& __x) 4832{ 4833 __save_flags<_CharT, _Traits> __lx(__os); 4834 __os.flags(ios_base::dec | ios_base::left | ios_base::fixed | 4835 ios_base::scientific); 4836 _CharT __sp = __os.widen(' '); 4837 __os.fill(__sp); 4838 __os << __x.a() << __sp << __x.b(); 4839 return __os; 4840} 4841 4842template <class _CharT, class _Traits, class _RT> 4843basic_istream<_CharT, _Traits>& 4844operator>>(basic_istream<_CharT, _Traits>& __is, 4845 weibull_distribution<_RT>& __x) 4846{ 4847 typedef weibull_distribution<_RT> _Eng; 4848 typedef typename _Eng::result_type result_type; 4849 typedef typename _Eng::param_type param_type; 4850 __save_flags<_CharT, _Traits> __lx(__is); 4851 __is.flags(ios_base::dec | ios_base::skipws); 4852 result_type __a; 4853 result_type __b; 4854 __is >> __a >> __b; 4855 if (!__is.fail()) 4856 __x.param(param_type(__a, __b)); 4857 return __is; 4858} 4859 4860template<class _RealType = double> 4861class _LIBCPP_TEMPLATE_VIS extreme_value_distribution 4862{ 4863public: 4864 // types 4865 typedef _RealType result_type; 4866 4867 class _LIBCPP_TEMPLATE_VIS param_type 4868 { 4869 result_type __a_; 4870 result_type __b_; 4871 public: 4872 typedef extreme_value_distribution distribution_type; 4873 4874 _LIBCPP_INLINE_VISIBILITY 4875 explicit param_type(result_type __a = 0, result_type __b = 1) 4876 : __a_(__a), __b_(__b) {} 4877 4878 _LIBCPP_INLINE_VISIBILITY 4879 result_type a() const {return __a_;} 4880 _LIBCPP_INLINE_VISIBILITY 4881 result_type b() const {return __b_;} 4882 4883 friend _LIBCPP_INLINE_VISIBILITY 4884 bool operator==(const param_type& __x, const param_type& __y) 4885 {return __x.__a_ == __y.__a_ && __x.__b_ == __y.__b_;} 4886 friend _LIBCPP_INLINE_VISIBILITY 4887 bool operator!=(const param_type& __x, const param_type& __y) 4888 {return !(__x == __y);} 4889 }; 4890 4891private: 4892 param_type __p_; 4893 4894public: 4895 // constructor and reset functions 4896 _LIBCPP_INLINE_VISIBILITY 4897 explicit extreme_value_distribution(result_type __a = 0, result_type __b = 1) 4898 : __p_(param_type(__a, __b)) {} 4899 _LIBCPP_INLINE_VISIBILITY 4900 explicit extreme_value_distribution(const param_type& __p) 4901 : __p_(__p) {} 4902 _LIBCPP_INLINE_VISIBILITY 4903 void reset() {} 4904 4905 // generating functions 4906 template<class _URNG> 4907 _LIBCPP_INLINE_VISIBILITY 4908 result_type operator()(_URNG& __g) 4909 {return (*this)(__g, __p_);} 4910 template<class _URNG> result_type operator()(_URNG& __g, const param_type& __p); 4911 4912 // property functions 4913 _LIBCPP_INLINE_VISIBILITY 4914 result_type a() const {return __p_.a();} 4915 _LIBCPP_INLINE_VISIBILITY 4916 result_type b() const {return __p_.b();} 4917 4918 _LIBCPP_INLINE_VISIBILITY 4919 param_type param() const {return __p_;} 4920 _LIBCPP_INLINE_VISIBILITY 4921 void param(const param_type& __p) {__p_ = __p;} 4922 4923 _LIBCPP_INLINE_VISIBILITY 4924 result_type min() const {return -numeric_limits<result_type>::infinity();} 4925 _LIBCPP_INLINE_VISIBILITY 4926 result_type max() const {return numeric_limits<result_type>::infinity();} 4927 4928 friend _LIBCPP_INLINE_VISIBILITY 4929 bool operator==(const extreme_value_distribution& __x, 4930 const extreme_value_distribution& __y) 4931 {return __x.__p_ == __y.__p_;} 4932 friend _LIBCPP_INLINE_VISIBILITY 4933 bool operator!=(const extreme_value_distribution& __x, 4934 const extreme_value_distribution& __y) 4935 {return !(__x == __y);} 4936}; 4937 4938template<class _RealType> 4939template<class _URNG> 4940_RealType 4941extreme_value_distribution<_RealType>::operator()(_URNG& __g, const param_type& __p) 4942{ 4943 return __p.a() - __p.b() * 4944 _VSTD::log(-_VSTD::log(1-uniform_real_distribution<result_type>()(__g))); 4945} 4946 4947template <class _CharT, class _Traits, class _RT> 4948basic_ostream<_CharT, _Traits>& 4949operator<<(basic_ostream<_CharT, _Traits>& __os, 4950 const extreme_value_distribution<_RT>& __x) 4951{ 4952 __save_flags<_CharT, _Traits> __lx(__os); 4953 __os.flags(ios_base::dec | ios_base::left | ios_base::fixed | 4954 ios_base::scientific); 4955 _CharT __sp = __os.widen(' '); 4956 __os.fill(__sp); 4957 __os << __x.a() << __sp << __x.b(); 4958 return __os; 4959} 4960 4961template <class _CharT, class _Traits, class _RT> 4962basic_istream<_CharT, _Traits>& 4963operator>>(basic_istream<_CharT, _Traits>& __is, 4964 extreme_value_distribution<_RT>& __x) 4965{ 4966 typedef extreme_value_distribution<_RT> _Eng; 4967 typedef typename _Eng::result_type result_type; 4968 typedef typename _Eng::param_type param_type; 4969 __save_flags<_CharT, _Traits> __lx(__is); 4970 __is.flags(ios_base::dec | ios_base::skipws); 4971 result_type __a; 4972 result_type __b; 4973 __is >> __a >> __b; 4974 if (!__is.fail()) 4975 __x.param(param_type(__a, __b)); 4976 return __is; 4977} 4978 4979// gamma_distribution 4980 4981template<class _RealType = double> 4982class _LIBCPP_TEMPLATE_VIS gamma_distribution 4983{ 4984public: 4985 // types 4986 typedef _RealType result_type; 4987 4988 class _LIBCPP_TEMPLATE_VIS param_type 4989 { 4990 result_type __alpha_; 4991 result_type __beta_; 4992 public: 4993 typedef gamma_distribution distribution_type; 4994 4995 _LIBCPP_INLINE_VISIBILITY 4996 explicit param_type(result_type __alpha = 1, result_type __beta = 1) 4997 : __alpha_(__alpha), __beta_(__beta) {} 4998 4999 _LIBCPP_INLINE_VISIBILITY 5000 result_type alpha() const {return __alpha_;} 5001 _LIBCPP_INLINE_VISIBILITY 5002 result_type beta() const {return __beta_;} 5003 5004 friend _LIBCPP_INLINE_VISIBILITY 5005 bool operator==(const param_type& __x, const param_type& __y) 5006 {return __x.__alpha_ == __y.__alpha_ && __x.__beta_ == __y.__beta_;} 5007 friend _LIBCPP_INLINE_VISIBILITY 5008 bool operator!=(const param_type& __x, const param_type& __y) 5009 {return !(__x == __y);} 5010 }; 5011 5012private: 5013 param_type __p_; 5014 5015public: 5016 // constructors and reset functions 5017 _LIBCPP_INLINE_VISIBILITY 5018 explicit gamma_distribution(result_type __alpha = 1, result_type __beta = 1) 5019 : __p_(param_type(__alpha, __beta)) {} 5020 _LIBCPP_INLINE_VISIBILITY 5021 explicit gamma_distribution(const param_type& __p) 5022 : __p_(__p) {} 5023 _LIBCPP_INLINE_VISIBILITY 5024 void reset() {} 5025 5026 // generating functions 5027 template<class _URNG> 5028 _LIBCPP_INLINE_VISIBILITY 5029 result_type operator()(_URNG& __g) 5030 {return (*this)(__g, __p_);} 5031 template<class _URNG> result_type operator()(_URNG& __g, const param_type& __p); 5032 5033 // property functions 5034 _LIBCPP_INLINE_VISIBILITY 5035 result_type alpha() const {return __p_.alpha();} 5036 _LIBCPP_INLINE_VISIBILITY 5037 result_type beta() const {return __p_.beta();} 5038 5039 _LIBCPP_INLINE_VISIBILITY 5040 param_type param() const {return __p_;} 5041 _LIBCPP_INLINE_VISIBILITY 5042 void param(const param_type& __p) {__p_ = __p;} 5043 5044 _LIBCPP_INLINE_VISIBILITY 5045 result_type min() const {return 0;} 5046 _LIBCPP_INLINE_VISIBILITY 5047 result_type max() const {return numeric_limits<result_type>::infinity();} 5048 5049 friend _LIBCPP_INLINE_VISIBILITY 5050 bool operator==(const gamma_distribution& __x, 5051 const gamma_distribution& __y) 5052 {return __x.__p_ == __y.__p_;} 5053 friend _LIBCPP_INLINE_VISIBILITY 5054 bool operator!=(const gamma_distribution& __x, 5055 const gamma_distribution& __y) 5056 {return !(__x == __y);} 5057}; 5058 5059template <class _RealType> 5060template<class _URNG> 5061_RealType 5062gamma_distribution<_RealType>::operator()(_URNG& __g, const param_type& __p) 5063{ 5064 result_type __a = __p.alpha(); 5065 uniform_real_distribution<result_type> __gen(0, 1); 5066 exponential_distribution<result_type> __egen; 5067 result_type __x; 5068 if (__a == 1) 5069 __x = __egen(__g); 5070 else if (__a > 1) 5071 { 5072 const result_type __b = __a - 1; 5073 const result_type __c = 3 * __a - result_type(0.75); 5074 while (true) 5075 { 5076 const result_type __u = __gen(__g); 5077 const result_type __v = __gen(__g); 5078 const result_type __w = __u * (1 - __u); 5079 if (__w != 0) 5080 { 5081 const result_type __y = _VSTD::sqrt(__c / __w) * 5082 (__u - result_type(0.5)); 5083 __x = __b + __y; 5084 if (__x >= 0) 5085 { 5086 const result_type __z = 64 * __w * __w * __w * __v * __v; 5087 if (__z <= 1 - 2 * __y * __y / __x) 5088 break; 5089 if (_VSTD::log(__z) <= 2 * (__b * _VSTD::log(__x / __b) - __y)) 5090 break; 5091 } 5092 } 5093 } 5094 } 5095 else // __a < 1 5096 { 5097 while (true) 5098 { 5099 const result_type __u = __gen(__g); 5100 const result_type __es = __egen(__g); 5101 if (__u <= 1 - __a) 5102 { 5103 __x = _VSTD::pow(__u, 1 / __a); 5104 if (__x <= __es) 5105 break; 5106 } 5107 else 5108 { 5109 const result_type __e = -_VSTD::log((1-__u)/__a); 5110 __x = _VSTD::pow(1 - __a + __a * __e, 1 / __a); 5111 if (__x <= __e + __es) 5112 break; 5113 } 5114 } 5115 } 5116 return __x * __p.beta(); 5117} 5118 5119template <class _CharT, class _Traits, class _RT> 5120basic_ostream<_CharT, _Traits>& 5121operator<<(basic_ostream<_CharT, _Traits>& __os, 5122 const gamma_distribution<_RT>& __x) 5123{ 5124 __save_flags<_CharT, _Traits> __lx(__os); 5125 __os.flags(ios_base::dec | ios_base::left | ios_base::fixed | 5126 ios_base::scientific); 5127 _CharT __sp = __os.widen(' '); 5128 __os.fill(__sp); 5129 __os << __x.alpha() << __sp << __x.beta(); 5130 return __os; 5131} 5132 5133template <class _CharT, class _Traits, class _RT> 5134basic_istream<_CharT, _Traits>& 5135operator>>(basic_istream<_CharT, _Traits>& __is, 5136 gamma_distribution<_RT>& __x) 5137{ 5138 typedef gamma_distribution<_RT> _Eng; 5139 typedef typename _Eng::result_type result_type; 5140 typedef typename _Eng::param_type param_type; 5141 __save_flags<_CharT, _Traits> __lx(__is); 5142 __is.flags(ios_base::dec | ios_base::skipws); 5143 result_type __alpha; 5144 result_type __beta; 5145 __is >> __alpha >> __beta; 5146 if (!__is.fail()) 5147 __x.param(param_type(__alpha, __beta)); 5148 return __is; 5149} 5150 5151// negative_binomial_distribution 5152 5153template<class _IntType = int> 5154class _LIBCPP_TEMPLATE_VIS negative_binomial_distribution 5155{ 5156public: 5157 // types 5158 typedef _IntType result_type; 5159 5160 class _LIBCPP_TEMPLATE_VIS param_type 5161 { 5162 result_type __k_; 5163 double __p_; 5164 public: 5165 typedef negative_binomial_distribution distribution_type; 5166 5167 _LIBCPP_INLINE_VISIBILITY 5168 explicit param_type(result_type __k = 1, double __p = 0.5) 5169 : __k_(__k), __p_(__p) {} 5170 5171 _LIBCPP_INLINE_VISIBILITY 5172 result_type k() const {return __k_;} 5173 _LIBCPP_INLINE_VISIBILITY 5174 double p() const {return __p_;} 5175 5176 friend _LIBCPP_INLINE_VISIBILITY 5177 bool operator==(const param_type& __x, const param_type& __y) 5178 {return __x.__k_ == __y.__k_ && __x.__p_ == __y.__p_;} 5179 friend _LIBCPP_INLINE_VISIBILITY 5180 bool operator!=(const param_type& __x, const param_type& __y) 5181 {return !(__x == __y);} 5182 }; 5183 5184private: 5185 param_type __p_; 5186 5187public: 5188 // constructor and reset functions 5189 _LIBCPP_INLINE_VISIBILITY 5190 explicit negative_binomial_distribution(result_type __k = 1, double __p = 0.5) 5191 : __p_(__k, __p) {} 5192 _LIBCPP_INLINE_VISIBILITY 5193 explicit negative_binomial_distribution(const param_type& __p) : __p_(__p) {} 5194 _LIBCPP_INLINE_VISIBILITY 5195 void reset() {} 5196 5197 // generating functions 5198 template<class _URNG> 5199 _LIBCPP_INLINE_VISIBILITY 5200 result_type operator()(_URNG& __g) 5201 {return (*this)(__g, __p_);} 5202 template<class _URNG> result_type operator()(_URNG& __g, const param_type& __p); 5203 5204 // property functions 5205 _LIBCPP_INLINE_VISIBILITY 5206 result_type k() const {return __p_.k();} 5207 _LIBCPP_INLINE_VISIBILITY 5208 double p() const {return __p_.p();} 5209 5210 _LIBCPP_INLINE_VISIBILITY 5211 param_type param() const {return __p_;} 5212 _LIBCPP_INLINE_VISIBILITY 5213 void param(const param_type& __p) {__p_ = __p;} 5214 5215 _LIBCPP_INLINE_VISIBILITY 5216 result_type min() const {return 0;} 5217 _LIBCPP_INLINE_VISIBILITY 5218 result_type max() const {return numeric_limits<result_type>::max();} 5219 5220 friend _LIBCPP_INLINE_VISIBILITY 5221 bool operator==(const negative_binomial_distribution& __x, 5222 const negative_binomial_distribution& __y) 5223 {return __x.__p_ == __y.__p_;} 5224 friend _LIBCPP_INLINE_VISIBILITY 5225 bool operator!=(const negative_binomial_distribution& __x, 5226 const negative_binomial_distribution& __y) 5227 {return !(__x == __y);} 5228}; 5229 5230template <class _IntType> 5231template<class _URNG> 5232_IntType 5233negative_binomial_distribution<_IntType>::operator()(_URNG& __urng, const param_type& __pr) 5234{ 5235 result_type __k = __pr.k(); 5236 double __p = __pr.p(); 5237 if (__k <= 21 * __p) 5238 { 5239 bernoulli_distribution __gen(__p); 5240 result_type __f = 0; 5241 result_type __s = 0; 5242 while (__s < __k) 5243 { 5244 if (__gen(__urng)) 5245 ++__s; 5246 else 5247 ++__f; 5248 } 5249 return __f; 5250 } 5251 return poisson_distribution<result_type>(gamma_distribution<double> 5252 (__k, (1-__p)/__p)(__urng))(__urng); 5253} 5254 5255template <class _CharT, class _Traits, class _IntType> 5256basic_ostream<_CharT, _Traits>& 5257operator<<(basic_ostream<_CharT, _Traits>& __os, 5258 const negative_binomial_distribution<_IntType>& __x) 5259{ 5260 __save_flags<_CharT, _Traits> __lx(__os); 5261 __os.flags(ios_base::dec | ios_base::left | ios_base::fixed | 5262 ios_base::scientific); 5263 _CharT __sp = __os.widen(' '); 5264 __os.fill(__sp); 5265 return __os << __x.k() << __sp << __x.p(); 5266} 5267 5268template <class _CharT, class _Traits, class _IntType> 5269basic_istream<_CharT, _Traits>& 5270operator>>(basic_istream<_CharT, _Traits>& __is, 5271 negative_binomial_distribution<_IntType>& __x) 5272{ 5273 typedef negative_binomial_distribution<_IntType> _Eng; 5274 typedef typename _Eng::result_type result_type; 5275 typedef typename _Eng::param_type param_type; 5276 __save_flags<_CharT, _Traits> __lx(__is); 5277 __is.flags(ios_base::dec | ios_base::skipws); 5278 result_type __k; 5279 double __p; 5280 __is >> __k >> __p; 5281 if (!__is.fail()) 5282 __x.param(param_type(__k, __p)); 5283 return __is; 5284} 5285 5286// geometric_distribution 5287 5288template<class _IntType = int> 5289class _LIBCPP_TEMPLATE_VIS geometric_distribution 5290{ 5291public: 5292 // types 5293 typedef _IntType result_type; 5294 5295 class _LIBCPP_TEMPLATE_VIS param_type 5296 { 5297 double __p_; 5298 public: 5299 typedef geometric_distribution distribution_type; 5300 5301 _LIBCPP_INLINE_VISIBILITY 5302 explicit param_type(double __p = 0.5) : __p_(__p) {} 5303 5304 _LIBCPP_INLINE_VISIBILITY 5305 double p() const {return __p_;} 5306 5307 friend _LIBCPP_INLINE_VISIBILITY 5308 bool operator==(const param_type& __x, const param_type& __y) 5309 {return __x.__p_ == __y.__p_;} 5310 friend _LIBCPP_INLINE_VISIBILITY 5311 bool operator!=(const param_type& __x, const param_type& __y) 5312 {return !(__x == __y);} 5313 }; 5314 5315private: 5316 param_type __p_; 5317 5318public: 5319 // constructors and reset functions 5320 _LIBCPP_INLINE_VISIBILITY 5321 explicit geometric_distribution(double __p = 0.5) : __p_(__p) {} 5322 _LIBCPP_INLINE_VISIBILITY 5323 explicit geometric_distribution(const param_type& __p) : __p_(__p) {} 5324 _LIBCPP_INLINE_VISIBILITY 5325 void reset() {} 5326 5327 // generating functions 5328 template<class _URNG> 5329 _LIBCPP_INLINE_VISIBILITY 5330 result_type operator()(_URNG& __g) 5331 {return (*this)(__g, __p_);} 5332 template<class _URNG> 5333 _LIBCPP_INLINE_VISIBILITY 5334 result_type operator()(_URNG& __g, const param_type& __p) 5335 {return negative_binomial_distribution<result_type>(1, __p.p())(__g);} 5336 5337 // property functions 5338 _LIBCPP_INLINE_VISIBILITY 5339 double p() const {return __p_.p();} 5340 5341 _LIBCPP_INLINE_VISIBILITY 5342 param_type param() const {return __p_;} 5343 _LIBCPP_INLINE_VISIBILITY 5344 void param(const param_type& __p) {__p_ = __p;} 5345 5346 _LIBCPP_INLINE_VISIBILITY 5347 result_type min() const {return 0;} 5348 _LIBCPP_INLINE_VISIBILITY 5349 result_type max() const {return numeric_limits<result_type>::max();} 5350 5351 friend _LIBCPP_INLINE_VISIBILITY 5352 bool operator==(const geometric_distribution& __x, 5353 const geometric_distribution& __y) 5354 {return __x.__p_ == __y.__p_;} 5355 friend _LIBCPP_INLINE_VISIBILITY 5356 bool operator!=(const geometric_distribution& __x, 5357 const geometric_distribution& __y) 5358 {return !(__x == __y);} 5359}; 5360 5361template <class _CharT, class _Traits, class _IntType> 5362basic_ostream<_CharT, _Traits>& 5363operator<<(basic_ostream<_CharT, _Traits>& __os, 5364 const geometric_distribution<_IntType>& __x) 5365{ 5366 __save_flags<_CharT, _Traits> __lx(__os); 5367 __os.flags(ios_base::dec | ios_base::left | ios_base::fixed | 5368 ios_base::scientific); 5369 return __os << __x.p(); 5370} 5371 5372template <class _CharT, class _Traits, class _IntType> 5373basic_istream<_CharT, _Traits>& 5374operator>>(basic_istream<_CharT, _Traits>& __is, 5375 geometric_distribution<_IntType>& __x) 5376{ 5377 typedef geometric_distribution<_IntType> _Eng; 5378 typedef typename _Eng::param_type param_type; 5379 __save_flags<_CharT, _Traits> __lx(__is); 5380 __is.flags(ios_base::dec | ios_base::skipws); 5381 double __p; 5382 __is >> __p; 5383 if (!__is.fail()) 5384 __x.param(param_type(__p)); 5385 return __is; 5386} 5387 5388// chi_squared_distribution 5389 5390template<class _RealType = double> 5391class _LIBCPP_TEMPLATE_VIS chi_squared_distribution 5392{ 5393public: 5394 // types 5395 typedef _RealType result_type; 5396 5397 class _LIBCPP_TEMPLATE_VIS param_type 5398 { 5399 result_type __n_; 5400 public: 5401 typedef chi_squared_distribution distribution_type; 5402 5403 _LIBCPP_INLINE_VISIBILITY 5404 explicit param_type(result_type __n = 1) : __n_(__n) {} 5405 5406 _LIBCPP_INLINE_VISIBILITY 5407 result_type n() const {return __n_;} 5408 5409 friend _LIBCPP_INLINE_VISIBILITY 5410 bool operator==(const param_type& __x, const param_type& __y) 5411 {return __x.__n_ == __y.__n_;} 5412 friend _LIBCPP_INLINE_VISIBILITY 5413 bool operator!=(const param_type& __x, const param_type& __y) 5414 {return !(__x == __y);} 5415 }; 5416 5417private: 5418 param_type __p_; 5419 5420public: 5421 // constructor and reset functions 5422 _LIBCPP_INLINE_VISIBILITY 5423 explicit chi_squared_distribution(result_type __n = 1) 5424 : __p_(param_type(__n)) {} 5425 _LIBCPP_INLINE_VISIBILITY 5426 explicit chi_squared_distribution(const param_type& __p) 5427 : __p_(__p) {} 5428 _LIBCPP_INLINE_VISIBILITY 5429 void reset() {} 5430 5431 // generating functions 5432 template<class _URNG> 5433 _LIBCPP_INLINE_VISIBILITY 5434 result_type operator()(_URNG& __g) 5435 {return (*this)(__g, __p_);} 5436 template<class _URNG> 5437 _LIBCPP_INLINE_VISIBILITY 5438 result_type operator()(_URNG& __g, const param_type& __p) 5439 {return gamma_distribution<result_type>(__p.n() / 2, 2)(__g);} 5440 5441 // property functions 5442 _LIBCPP_INLINE_VISIBILITY 5443 result_type n() const {return __p_.n();} 5444 5445 _LIBCPP_INLINE_VISIBILITY 5446 param_type param() const {return __p_;} 5447 _LIBCPP_INLINE_VISIBILITY 5448 void param(const param_type& __p) {__p_ = __p;} 5449 5450 _LIBCPP_INLINE_VISIBILITY 5451 result_type min() const {return 0;} 5452 _LIBCPP_INLINE_VISIBILITY 5453 result_type max() const {return numeric_limits<result_type>::infinity();} 5454 5455 friend _LIBCPP_INLINE_VISIBILITY 5456 bool operator==(const chi_squared_distribution& __x, 5457 const chi_squared_distribution& __y) 5458 {return __x.__p_ == __y.__p_;} 5459 friend _LIBCPP_INLINE_VISIBILITY 5460 bool operator!=(const chi_squared_distribution& __x, 5461 const chi_squared_distribution& __y) 5462 {return !(__x == __y);} 5463}; 5464 5465template <class _CharT, class _Traits, class _RT> 5466basic_ostream<_CharT, _Traits>& 5467operator<<(basic_ostream<_CharT, _Traits>& __os, 5468 const chi_squared_distribution<_RT>& __x) 5469{ 5470 __save_flags<_CharT, _Traits> __lx(__os); 5471 __os.flags(ios_base::dec | ios_base::left | ios_base::fixed | 5472 ios_base::scientific); 5473 __os << __x.n(); 5474 return __os; 5475} 5476 5477template <class _CharT, class _Traits, class _RT> 5478basic_istream<_CharT, _Traits>& 5479operator>>(basic_istream<_CharT, _Traits>& __is, 5480 chi_squared_distribution<_RT>& __x) 5481{ 5482 typedef chi_squared_distribution<_RT> _Eng; 5483 typedef typename _Eng::result_type result_type; 5484 typedef typename _Eng::param_type param_type; 5485 __save_flags<_CharT, _Traits> __lx(__is); 5486 __is.flags(ios_base::dec | ios_base::skipws); 5487 result_type __n; 5488 __is >> __n; 5489 if (!__is.fail()) 5490 __x.param(param_type(__n)); 5491 return __is; 5492} 5493 5494// cauchy_distribution 5495 5496template<class _RealType = double> 5497class _LIBCPP_TEMPLATE_VIS cauchy_distribution 5498{ 5499public: 5500 // types 5501 typedef _RealType result_type; 5502 5503 class _LIBCPP_TEMPLATE_VIS param_type 5504 { 5505 result_type __a_; 5506 result_type __b_; 5507 public: 5508 typedef cauchy_distribution distribution_type; 5509 5510 _LIBCPP_INLINE_VISIBILITY 5511 explicit param_type(result_type __a = 0, result_type __b = 1) 5512 : __a_(__a), __b_(__b) {} 5513 5514 _LIBCPP_INLINE_VISIBILITY 5515 result_type a() const {return __a_;} 5516 _LIBCPP_INLINE_VISIBILITY 5517 result_type b() const {return __b_;} 5518 5519 friend _LIBCPP_INLINE_VISIBILITY 5520 bool operator==(const param_type& __x, const param_type& __y) 5521 {return __x.__a_ == __y.__a_ && __x.__b_ == __y.__b_;} 5522 friend _LIBCPP_INLINE_VISIBILITY 5523 bool operator!=(const param_type& __x, const param_type& __y) 5524 {return !(__x == __y);} 5525 }; 5526 5527private: 5528 param_type __p_; 5529 5530public: 5531 // constructor and reset functions 5532 _LIBCPP_INLINE_VISIBILITY 5533 explicit cauchy_distribution(result_type __a = 0, result_type __b = 1) 5534 : __p_(param_type(__a, __b)) {} 5535 _LIBCPP_INLINE_VISIBILITY 5536 explicit cauchy_distribution(const param_type& __p) 5537 : __p_(__p) {} 5538 _LIBCPP_INLINE_VISIBILITY 5539 void reset() {} 5540 5541 // generating functions 5542 template<class _URNG> 5543 _LIBCPP_INLINE_VISIBILITY 5544 result_type operator()(_URNG& __g) 5545 {return (*this)(__g, __p_);} 5546 template<class _URNG> _LIBCPP_INLINE_VISIBILITY result_type operator()(_URNG& __g, const param_type& __p); 5547 5548 // property functions 5549 _LIBCPP_INLINE_VISIBILITY 5550 result_type a() const {return __p_.a();} 5551 _LIBCPP_INLINE_VISIBILITY 5552 result_type b() const {return __p_.b();} 5553 5554 _LIBCPP_INLINE_VISIBILITY 5555 param_type param() const {return __p_;} 5556 _LIBCPP_INLINE_VISIBILITY 5557 void param(const param_type& __p) {__p_ = __p;} 5558 5559 _LIBCPP_INLINE_VISIBILITY 5560 result_type min() const {return -numeric_limits<result_type>::infinity();} 5561 _LIBCPP_INLINE_VISIBILITY 5562 result_type max() const {return numeric_limits<result_type>::infinity();} 5563 5564 friend _LIBCPP_INLINE_VISIBILITY 5565 bool operator==(const cauchy_distribution& __x, 5566 const cauchy_distribution& __y) 5567 {return __x.__p_ == __y.__p_;} 5568 friend _LIBCPP_INLINE_VISIBILITY 5569 bool operator!=(const cauchy_distribution& __x, 5570 const cauchy_distribution& __y) 5571 {return !(__x == __y);} 5572}; 5573 5574template <class _RealType> 5575template<class _URNG> 5576inline 5577_RealType 5578cauchy_distribution<_RealType>::operator()(_URNG& __g, const param_type& __p) 5579{ 5580 uniform_real_distribution<result_type> __gen; 5581 // purposefully let tan arg get as close to pi/2 as it wants, tan will return a finite 5582 return __p.a() + __p.b() * _VSTD::tan(3.1415926535897932384626433832795 * __gen(__g)); 5583} 5584 5585template <class _CharT, class _Traits, class _RT> 5586basic_ostream<_CharT, _Traits>& 5587operator<<(basic_ostream<_CharT, _Traits>& __os, 5588 const cauchy_distribution<_RT>& __x) 5589{ 5590 __save_flags<_CharT, _Traits> __lx(__os); 5591 __os.flags(ios_base::dec | ios_base::left | ios_base::fixed | 5592 ios_base::scientific); 5593 _CharT __sp = __os.widen(' '); 5594 __os.fill(__sp); 5595 __os << __x.a() << __sp << __x.b(); 5596 return __os; 5597} 5598 5599template <class _CharT, class _Traits, class _RT> 5600basic_istream<_CharT, _Traits>& 5601operator>>(basic_istream<_CharT, _Traits>& __is, 5602 cauchy_distribution<_RT>& __x) 5603{ 5604 typedef cauchy_distribution<_RT> _Eng; 5605 typedef typename _Eng::result_type result_type; 5606 typedef typename _Eng::param_type param_type; 5607 __save_flags<_CharT, _Traits> __lx(__is); 5608 __is.flags(ios_base::dec | ios_base::skipws); 5609 result_type __a; 5610 result_type __b; 5611 __is >> __a >> __b; 5612 if (!__is.fail()) 5613 __x.param(param_type(__a, __b)); 5614 return __is; 5615} 5616 5617// fisher_f_distribution 5618 5619template<class _RealType = double> 5620class _LIBCPP_TEMPLATE_VIS fisher_f_distribution 5621{ 5622public: 5623 // types 5624 typedef _RealType result_type; 5625 5626 class _LIBCPP_TEMPLATE_VIS param_type 5627 { 5628 result_type __m_; 5629 result_type __n_; 5630 public: 5631 typedef fisher_f_distribution distribution_type; 5632 5633 _LIBCPP_INLINE_VISIBILITY 5634 explicit param_type(result_type __m = 1, result_type __n = 1) 5635 : __m_(__m), __n_(__n) {} 5636 5637 _LIBCPP_INLINE_VISIBILITY 5638 result_type m() const {return __m_;} 5639 _LIBCPP_INLINE_VISIBILITY 5640 result_type n() const {return __n_;} 5641 5642 friend _LIBCPP_INLINE_VISIBILITY 5643 bool operator==(const param_type& __x, const param_type& __y) 5644 {return __x.__m_ == __y.__m_ && __x.__n_ == __y.__n_;} 5645 friend _LIBCPP_INLINE_VISIBILITY 5646 bool operator!=(const param_type& __x, const param_type& __y) 5647 {return !(__x == __y);} 5648 }; 5649 5650private: 5651 param_type __p_; 5652 5653public: 5654 // constructor and reset functions 5655 _LIBCPP_INLINE_VISIBILITY 5656 explicit fisher_f_distribution(result_type __m = 1, result_type __n = 1) 5657 : __p_(param_type(__m, __n)) {} 5658 _LIBCPP_INLINE_VISIBILITY 5659 explicit fisher_f_distribution(const param_type& __p) 5660 : __p_(__p) {} 5661 _LIBCPP_INLINE_VISIBILITY 5662 void reset() {} 5663 5664 // generating functions 5665 template<class _URNG> 5666 _LIBCPP_INLINE_VISIBILITY 5667 result_type operator()(_URNG& __g) 5668 {return (*this)(__g, __p_);} 5669 template<class _URNG> result_type operator()(_URNG& __g, const param_type& __p); 5670 5671 // property functions 5672 _LIBCPP_INLINE_VISIBILITY 5673 result_type m() const {return __p_.m();} 5674 _LIBCPP_INLINE_VISIBILITY 5675 result_type n() const {return __p_.n();} 5676 5677 _LIBCPP_INLINE_VISIBILITY 5678 param_type param() const {return __p_;} 5679 _LIBCPP_INLINE_VISIBILITY 5680 void param(const param_type& __p) {__p_ = __p;} 5681 5682 _LIBCPP_INLINE_VISIBILITY 5683 result_type min() const {return 0;} 5684 _LIBCPP_INLINE_VISIBILITY 5685 result_type max() const {return numeric_limits<result_type>::infinity();} 5686 5687 friend _LIBCPP_INLINE_VISIBILITY 5688 bool operator==(const fisher_f_distribution& __x, 5689 const fisher_f_distribution& __y) 5690 {return __x.__p_ == __y.__p_;} 5691 friend _LIBCPP_INLINE_VISIBILITY 5692 bool operator!=(const fisher_f_distribution& __x, 5693 const fisher_f_distribution& __y) 5694 {return !(__x == __y);} 5695}; 5696 5697template <class _RealType> 5698template<class _URNG> 5699_RealType 5700fisher_f_distribution<_RealType>::operator()(_URNG& __g, const param_type& __p) 5701{ 5702 gamma_distribution<result_type> __gdm(__p.m() * result_type(.5)); 5703 gamma_distribution<result_type> __gdn(__p.n() * result_type(.5)); 5704 return __p.n() * __gdm(__g) / (__p.m() * __gdn(__g)); 5705} 5706 5707template <class _CharT, class _Traits, class _RT> 5708basic_ostream<_CharT, _Traits>& 5709operator<<(basic_ostream<_CharT, _Traits>& __os, 5710 const fisher_f_distribution<_RT>& __x) 5711{ 5712 __save_flags<_CharT, _Traits> __lx(__os); 5713 __os.flags(ios_base::dec | ios_base::left | ios_base::fixed | 5714 ios_base::scientific); 5715 _CharT __sp = __os.widen(' '); 5716 __os.fill(__sp); 5717 __os << __x.m() << __sp << __x.n(); 5718 return __os; 5719} 5720 5721template <class _CharT, class _Traits, class _RT> 5722basic_istream<_CharT, _Traits>& 5723operator>>(basic_istream<_CharT, _Traits>& __is, 5724 fisher_f_distribution<_RT>& __x) 5725{ 5726 typedef fisher_f_distribution<_RT> _Eng; 5727 typedef typename _Eng::result_type result_type; 5728 typedef typename _Eng::param_type param_type; 5729 __save_flags<_CharT, _Traits> __lx(__is); 5730 __is.flags(ios_base::dec | ios_base::skipws); 5731 result_type __m; 5732 result_type __n; 5733 __is >> __m >> __n; 5734 if (!__is.fail()) 5735 __x.param(param_type(__m, __n)); 5736 return __is; 5737} 5738 5739// student_t_distribution 5740 5741template<class _RealType = double> 5742class _LIBCPP_TEMPLATE_VIS student_t_distribution 5743{ 5744public: 5745 // types 5746 typedef _RealType result_type; 5747 5748 class _LIBCPP_TEMPLATE_VIS param_type 5749 { 5750 result_type __n_; 5751 public: 5752 typedef student_t_distribution distribution_type; 5753 5754 _LIBCPP_INLINE_VISIBILITY 5755 explicit param_type(result_type __n = 1) : __n_(__n) {} 5756 5757 _LIBCPP_INLINE_VISIBILITY 5758 result_type n() const {return __n_;} 5759 5760 friend _LIBCPP_INLINE_VISIBILITY 5761 bool operator==(const param_type& __x, const param_type& __y) 5762 {return __x.__n_ == __y.__n_;} 5763 friend _LIBCPP_INLINE_VISIBILITY 5764 bool operator!=(const param_type& __x, const param_type& __y) 5765 {return !(__x == __y);} 5766 }; 5767 5768private: 5769 param_type __p_; 5770 normal_distribution<result_type> __nd_; 5771 5772public: 5773 // constructor and reset functions 5774 _LIBCPP_INLINE_VISIBILITY 5775 explicit student_t_distribution(result_type __n = 1) 5776 : __p_(param_type(__n)) {} 5777 _LIBCPP_INLINE_VISIBILITY 5778 explicit student_t_distribution(const param_type& __p) 5779 : __p_(__p) {} 5780 _LIBCPP_INLINE_VISIBILITY 5781 void reset() {__nd_.reset();} 5782 5783 // generating functions 5784 template<class _URNG> 5785 _LIBCPP_INLINE_VISIBILITY 5786 result_type operator()(_URNG& __g) 5787 {return (*this)(__g, __p_);} 5788 template<class _URNG> result_type operator()(_URNG& __g, const param_type& __p); 5789 5790 // property functions 5791 _LIBCPP_INLINE_VISIBILITY 5792 result_type n() const {return __p_.n();} 5793 5794 _LIBCPP_INLINE_VISIBILITY 5795 param_type param() const {return __p_;} 5796 _LIBCPP_INLINE_VISIBILITY 5797 void param(const param_type& __p) {__p_ = __p;} 5798 5799 _LIBCPP_INLINE_VISIBILITY 5800 result_type min() const {return -numeric_limits<result_type>::infinity();} 5801 _LIBCPP_INLINE_VISIBILITY 5802 result_type max() const {return numeric_limits<result_type>::infinity();} 5803 5804 friend _LIBCPP_INLINE_VISIBILITY 5805 bool operator==(const student_t_distribution& __x, 5806 const student_t_distribution& __y) 5807 {return __x.__p_ == __y.__p_;} 5808 friend _LIBCPP_INLINE_VISIBILITY 5809 bool operator!=(const student_t_distribution& __x, 5810 const student_t_distribution& __y) 5811 {return !(__x == __y);} 5812}; 5813 5814template <class _RealType> 5815template<class _URNG> 5816_RealType 5817student_t_distribution<_RealType>::operator()(_URNG& __g, const param_type& __p) 5818{ 5819 gamma_distribution<result_type> __gd(__p.n() * .5, 2); 5820 return __nd_(__g) * _VSTD::sqrt(__p.n()/__gd(__g)); 5821} 5822 5823template <class _CharT, class _Traits, class _RT> 5824basic_ostream<_CharT, _Traits>& 5825operator<<(basic_ostream<_CharT, _Traits>& __os, 5826 const student_t_distribution<_RT>& __x) 5827{ 5828 __save_flags<_CharT, _Traits> __lx(__os); 5829 __os.flags(ios_base::dec | ios_base::left | ios_base::fixed | 5830 ios_base::scientific); 5831 __os << __x.n(); 5832 return __os; 5833} 5834 5835template <class _CharT, class _Traits, class _RT> 5836basic_istream<_CharT, _Traits>& 5837operator>>(basic_istream<_CharT, _Traits>& __is, 5838 student_t_distribution<_RT>& __x) 5839{ 5840 typedef student_t_distribution<_RT> _Eng; 5841 typedef typename _Eng::result_type result_type; 5842 typedef typename _Eng::param_type param_type; 5843 __save_flags<_CharT, _Traits> __lx(__is); 5844 __is.flags(ios_base::dec | ios_base::skipws); 5845 result_type __n; 5846 __is >> __n; 5847 if (!__is.fail()) 5848 __x.param(param_type(__n)); 5849 return __is; 5850} 5851 5852// discrete_distribution 5853 5854template<class _IntType = int> 5855class _LIBCPP_TEMPLATE_VIS discrete_distribution 5856{ 5857public: 5858 // types 5859 typedef _IntType result_type; 5860 5861 class _LIBCPP_TEMPLATE_VIS param_type 5862 { 5863 vector<double> __p_; 5864 public: 5865 typedef discrete_distribution distribution_type; 5866 5867 _LIBCPP_INLINE_VISIBILITY 5868 param_type() {} 5869 template<class _InputIterator> 5870 _LIBCPP_INLINE_VISIBILITY 5871 param_type(_InputIterator __f, _InputIterator __l) 5872 : __p_(__f, __l) {__init();} 5873#ifndef _LIBCPP_CXX03_LANG 5874 _LIBCPP_INLINE_VISIBILITY 5875 param_type(initializer_list<double> __wl) 5876 : __p_(__wl.begin(), __wl.end()) {__init();} 5877#endif // _LIBCPP_CXX03_LANG 5878 template<class _UnaryOperation> 5879 param_type(size_t __nw, double __xmin, double __xmax, 5880 _UnaryOperation __fw); 5881 5882 vector<double> probabilities() const; 5883 5884 friend _LIBCPP_INLINE_VISIBILITY 5885 bool operator==(const param_type& __x, const param_type& __y) 5886 {return __x.__p_ == __y.__p_;} 5887 friend _LIBCPP_INLINE_VISIBILITY 5888 bool operator!=(const param_type& __x, const param_type& __y) 5889 {return !(__x == __y);} 5890 5891 private: 5892 void __init(); 5893 5894 friend class discrete_distribution; 5895 5896 template <class _CharT, class _Traits, class _IT> 5897 friend 5898 basic_ostream<_CharT, _Traits>& 5899 operator<<(basic_ostream<_CharT, _Traits>& __os, 5900 const discrete_distribution<_IT>& __x); 5901 5902 template <class _CharT, class _Traits, class _IT> 5903 friend 5904 basic_istream<_CharT, _Traits>& 5905 operator>>(basic_istream<_CharT, _Traits>& __is, 5906 discrete_distribution<_IT>& __x); 5907 }; 5908 5909private: 5910 param_type __p_; 5911 5912public: 5913 // constructor and reset functions 5914 _LIBCPP_INLINE_VISIBILITY 5915 discrete_distribution() {} 5916 template<class _InputIterator> 5917 _LIBCPP_INLINE_VISIBILITY 5918 discrete_distribution(_InputIterator __f, _InputIterator __l) 5919 : __p_(__f, __l) {} 5920#ifndef _LIBCPP_CXX03_LANG 5921 _LIBCPP_INLINE_VISIBILITY 5922 discrete_distribution(initializer_list<double> __wl) 5923 : __p_(__wl) {} 5924#endif // _LIBCPP_CXX03_LANG 5925 template<class _UnaryOperation> 5926 _LIBCPP_INLINE_VISIBILITY 5927 discrete_distribution(size_t __nw, double __xmin, double __xmax, 5928 _UnaryOperation __fw) 5929 : __p_(__nw, __xmin, __xmax, __fw) {} 5930 _LIBCPP_INLINE_VISIBILITY 5931 explicit discrete_distribution(const param_type& __p) 5932 : __p_(__p) {} 5933 _LIBCPP_INLINE_VISIBILITY 5934 void reset() {} 5935 5936 // generating functions 5937 template<class _URNG> 5938 _LIBCPP_INLINE_VISIBILITY 5939 result_type operator()(_URNG& __g) 5940 {return (*this)(__g, __p_);} 5941 template<class _URNG> result_type operator()(_URNG& __g, const param_type& __p); 5942 5943 // property functions 5944 _LIBCPP_INLINE_VISIBILITY 5945 vector<double> probabilities() const {return __p_.probabilities();} 5946 5947 _LIBCPP_INLINE_VISIBILITY 5948 param_type param() const {return __p_;} 5949 _LIBCPP_INLINE_VISIBILITY 5950 void param(const param_type& __p) {__p_ = __p;} 5951 5952 _LIBCPP_INLINE_VISIBILITY 5953 result_type min() const {return 0;} 5954 _LIBCPP_INLINE_VISIBILITY 5955 result_type max() const {return __p_.__p_.size();} 5956 5957 friend _LIBCPP_INLINE_VISIBILITY 5958 bool operator==(const discrete_distribution& __x, 5959 const discrete_distribution& __y) 5960 {return __x.__p_ == __y.__p_;} 5961 friend _LIBCPP_INLINE_VISIBILITY 5962 bool operator!=(const discrete_distribution& __x, 5963 const discrete_distribution& __y) 5964 {return !(__x == __y);} 5965 5966 template <class _CharT, class _Traits, class _IT> 5967 friend 5968 basic_ostream<_CharT, _Traits>& 5969 operator<<(basic_ostream<_CharT, _Traits>& __os, 5970 const discrete_distribution<_IT>& __x); 5971 5972 template <class _CharT, class _Traits, class _IT> 5973 friend 5974 basic_istream<_CharT, _Traits>& 5975 operator>>(basic_istream<_CharT, _Traits>& __is, 5976 discrete_distribution<_IT>& __x); 5977}; 5978 5979template<class _IntType> 5980template<class _UnaryOperation> 5981discrete_distribution<_IntType>::param_type::param_type(size_t __nw, 5982 double __xmin, 5983 double __xmax, 5984 _UnaryOperation __fw) 5985{ 5986 if (__nw > 1) 5987 { 5988 __p_.reserve(__nw - 1); 5989 double __d = (__xmax - __xmin) / __nw; 5990 double __d2 = __d / 2; 5991 for (size_t __k = 0; __k < __nw; ++__k) 5992 __p_.push_back(__fw(__xmin + __k * __d + __d2)); 5993 __init(); 5994 } 5995} 5996 5997template<class _IntType> 5998void 5999discrete_distribution<_IntType>::param_type::__init() 6000{ 6001 if (!__p_.empty()) 6002 { 6003 if (__p_.size() > 1) 6004 { 6005 double __s = _VSTD::accumulate(__p_.begin(), __p_.end(), 0.0); 6006 for (_VSTD::vector<double>::iterator __i = __p_.begin(), __e = __p_.end(); 6007 __i < __e; ++__i) 6008 *__i /= __s; 6009 vector<double> __t(__p_.size() - 1); 6010 _VSTD::partial_sum(__p_.begin(), __p_.end() - 1, __t.begin()); 6011 swap(__p_, __t); 6012 } 6013 else 6014 { 6015 __p_.clear(); 6016 __p_.shrink_to_fit(); 6017 } 6018 } 6019} 6020 6021template<class _IntType> 6022vector<double> 6023discrete_distribution<_IntType>::param_type::probabilities() const 6024{ 6025 size_t __n = __p_.size(); 6026 _VSTD::vector<double> __p(__n+1); 6027 _VSTD::adjacent_difference(__p_.begin(), __p_.end(), __p.begin()); 6028 if (__n > 0) 6029 __p[__n] = 1 - __p_[__n-1]; 6030 else 6031 __p[0] = 1; 6032 return __p; 6033} 6034 6035template<class _IntType> 6036template<class _URNG> 6037_IntType 6038discrete_distribution<_IntType>::operator()(_URNG& __g, const param_type& __p) 6039{ 6040 uniform_real_distribution<double> __gen; 6041 return static_cast<_IntType>( 6042 _VSTD::upper_bound(__p.__p_.begin(), __p.__p_.end(), __gen(__g)) - 6043 __p.__p_.begin()); 6044} 6045 6046template <class _CharT, class _Traits, class _IT> 6047basic_ostream<_CharT, _Traits>& 6048operator<<(basic_ostream<_CharT, _Traits>& __os, 6049 const discrete_distribution<_IT>& __x) 6050{ 6051 __save_flags<_CharT, _Traits> __lx(__os); 6052 __os.flags(ios_base::dec | ios_base::left | ios_base::fixed | 6053 ios_base::scientific); 6054 _CharT __sp = __os.widen(' '); 6055 __os.fill(__sp); 6056 size_t __n = __x.__p_.__p_.size(); 6057 __os << __n; 6058 for (size_t __i = 0; __i < __n; ++__i) 6059 __os << __sp << __x.__p_.__p_[__i]; 6060 return __os; 6061} 6062 6063template <class _CharT, class _Traits, class _IT> 6064basic_istream<_CharT, _Traits>& 6065operator>>(basic_istream<_CharT, _Traits>& __is, 6066 discrete_distribution<_IT>& __x) 6067{ 6068 __save_flags<_CharT, _Traits> __lx(__is); 6069 __is.flags(ios_base::dec | ios_base::skipws); 6070 size_t __n; 6071 __is >> __n; 6072 vector<double> __p(__n); 6073 for (size_t __i = 0; __i < __n; ++__i) 6074 __is >> __p[__i]; 6075 if (!__is.fail()) 6076 swap(__x.__p_.__p_, __p); 6077 return __is; 6078} 6079 6080// piecewise_constant_distribution 6081 6082template<class _RealType = double> 6083class _LIBCPP_TEMPLATE_VIS piecewise_constant_distribution 6084{ 6085public: 6086 // types 6087 typedef _RealType result_type; 6088 6089 class _LIBCPP_TEMPLATE_VIS param_type 6090 { 6091 vector<result_type> __b_; 6092 vector<result_type> __densities_; 6093 vector<result_type> __areas_; 6094 public: 6095 typedef piecewise_constant_distribution distribution_type; 6096 6097 param_type(); 6098 template<class _InputIteratorB, class _InputIteratorW> 6099 param_type(_InputIteratorB __fB, _InputIteratorB __lB, 6100 _InputIteratorW __fW); 6101#ifndef _LIBCPP_CXX03_LANG 6102 template<class _UnaryOperation> 6103 param_type(initializer_list<result_type> __bl, _UnaryOperation __fw); 6104#endif // _LIBCPP_CXX03_LANG 6105 template<class _UnaryOperation> 6106 param_type(size_t __nw, result_type __xmin, result_type __xmax, 6107 _UnaryOperation __fw); 6108 param_type(param_type const&) = default; 6109 param_type & operator=(const param_type& __rhs); 6110 6111 _LIBCPP_INLINE_VISIBILITY 6112 vector<result_type> intervals() const {return __b_;} 6113 _LIBCPP_INLINE_VISIBILITY 6114 vector<result_type> densities() const {return __densities_;} 6115 6116 friend _LIBCPP_INLINE_VISIBILITY 6117 bool operator==(const param_type& __x, const param_type& __y) 6118 {return __x.__densities_ == __y.__densities_ && __x.__b_ == __y.__b_;} 6119 friend _LIBCPP_INLINE_VISIBILITY 6120 bool operator!=(const param_type& __x, const param_type& __y) 6121 {return !(__x == __y);} 6122 6123 private: 6124 void __init(); 6125 6126 friend class piecewise_constant_distribution; 6127 6128 template <class _CharT, class _Traits, class _RT> 6129 friend 6130 basic_ostream<_CharT, _Traits>& 6131 operator<<(basic_ostream<_CharT, _Traits>& __os, 6132 const piecewise_constant_distribution<_RT>& __x); 6133 6134 template <class _CharT, class _Traits, class _RT> 6135 friend 6136 basic_istream<_CharT, _Traits>& 6137 operator>>(basic_istream<_CharT, _Traits>& __is, 6138 piecewise_constant_distribution<_RT>& __x); 6139 }; 6140 6141private: 6142 param_type __p_; 6143 6144public: 6145 // constructor and reset functions 6146 _LIBCPP_INLINE_VISIBILITY 6147 piecewise_constant_distribution() {} 6148 template<class _InputIteratorB, class _InputIteratorW> 6149 _LIBCPP_INLINE_VISIBILITY 6150 piecewise_constant_distribution(_InputIteratorB __fB, 6151 _InputIteratorB __lB, 6152 _InputIteratorW __fW) 6153 : __p_(__fB, __lB, __fW) {} 6154 6155#ifndef _LIBCPP_CXX03_LANG 6156 template<class _UnaryOperation> 6157 _LIBCPP_INLINE_VISIBILITY 6158 piecewise_constant_distribution(initializer_list<result_type> __bl, 6159 _UnaryOperation __fw) 6160 : __p_(__bl, __fw) {} 6161#endif // _LIBCPP_CXX03_LANG 6162 6163 template<class _UnaryOperation> 6164 _LIBCPP_INLINE_VISIBILITY 6165 piecewise_constant_distribution(size_t __nw, result_type __xmin, 6166 result_type __xmax, _UnaryOperation __fw) 6167 : __p_(__nw, __xmin, __xmax, __fw) {} 6168 6169 _LIBCPP_INLINE_VISIBILITY 6170 explicit piecewise_constant_distribution(const param_type& __p) 6171 : __p_(__p) {} 6172 6173 _LIBCPP_INLINE_VISIBILITY 6174 void reset() {} 6175 6176 // generating functions 6177 template<class _URNG> 6178 _LIBCPP_INLINE_VISIBILITY 6179 result_type operator()(_URNG& __g) 6180 {return (*this)(__g, __p_);} 6181 template<class _URNG> result_type operator()(_URNG& __g, const param_type& __p); 6182 6183 // property functions 6184 _LIBCPP_INLINE_VISIBILITY 6185 vector<result_type> intervals() const {return __p_.intervals();} 6186 _LIBCPP_INLINE_VISIBILITY 6187 vector<result_type> densities() const {return __p_.densities();} 6188 6189 _LIBCPP_INLINE_VISIBILITY 6190 param_type param() const {return __p_;} 6191 _LIBCPP_INLINE_VISIBILITY 6192 void param(const param_type& __p) {__p_ = __p;} 6193 6194 _LIBCPP_INLINE_VISIBILITY 6195 result_type min() const {return __p_.__b_.front();} 6196 _LIBCPP_INLINE_VISIBILITY 6197 result_type max() const {return __p_.__b_.back();} 6198 6199 friend _LIBCPP_INLINE_VISIBILITY 6200 bool operator==(const piecewise_constant_distribution& __x, 6201 const piecewise_constant_distribution& __y) 6202 {return __x.__p_ == __y.__p_;} 6203 friend _LIBCPP_INLINE_VISIBILITY 6204 bool operator!=(const piecewise_constant_distribution& __x, 6205 const piecewise_constant_distribution& __y) 6206 {return !(__x == __y);} 6207 6208 template <class _CharT, class _Traits, class _RT> 6209 friend 6210 basic_ostream<_CharT, _Traits>& 6211 operator<<(basic_ostream<_CharT, _Traits>& __os, 6212 const piecewise_constant_distribution<_RT>& __x); 6213 6214 template <class _CharT, class _Traits, class _RT> 6215 friend 6216 basic_istream<_CharT, _Traits>& 6217 operator>>(basic_istream<_CharT, _Traits>& __is, 6218 piecewise_constant_distribution<_RT>& __x); 6219}; 6220 6221template<class _RealType> 6222typename piecewise_constant_distribution<_RealType>::param_type & 6223piecewise_constant_distribution<_RealType>::param_type::operator= 6224 (const param_type& __rhs) 6225{ 6226// These can throw 6227 __b_.reserve (__rhs.__b_.size ()); 6228 __densities_.reserve(__rhs.__densities_.size()); 6229 __areas_.reserve (__rhs.__areas_.size()); 6230 6231// These can not throw 6232 __b_ = __rhs.__b_; 6233 __densities_ = __rhs.__densities_; 6234 __areas_ = __rhs.__areas_; 6235 return *this; 6236} 6237 6238template<class _RealType> 6239void 6240piecewise_constant_distribution<_RealType>::param_type::__init() 6241{ 6242 // __densities_ contains non-normalized areas 6243 result_type __total_area = _VSTD::accumulate(__densities_.begin(), 6244 __densities_.end(), 6245 result_type()); 6246 for (size_t __i = 0; __i < __densities_.size(); ++__i) 6247 __densities_[__i] /= __total_area; 6248 // __densities_ contains normalized areas 6249 __areas_.assign(__densities_.size(), result_type()); 6250 _VSTD::partial_sum(__densities_.begin(), __densities_.end() - 1, 6251 __areas_.begin() + 1); 6252 // __areas_ contains partial sums of normalized areas: [0, __densities_ - 1] 6253 __densities_.back() = 1 - __areas_.back(); // correct round off error 6254 for (size_t __i = 0; __i < __densities_.size(); ++__i) 6255 __densities_[__i] /= (__b_[__i+1] - __b_[__i]); 6256 // __densities_ now contains __densities_ 6257} 6258 6259template<class _RealType> 6260piecewise_constant_distribution<_RealType>::param_type::param_type() 6261 : __b_(2), 6262 __densities_(1, 1.0), 6263 __areas_(1, 0.0) 6264{ 6265 __b_[1] = 1; 6266} 6267 6268template<class _RealType> 6269template<class _InputIteratorB, class _InputIteratorW> 6270piecewise_constant_distribution<_RealType>::param_type::param_type( 6271 _InputIteratorB __fB, _InputIteratorB __lB, _InputIteratorW __fW) 6272 : __b_(__fB, __lB) 6273{ 6274 if (__b_.size() < 2) 6275 { 6276 __b_.resize(2); 6277 __b_[0] = 0; 6278 __b_[1] = 1; 6279 __densities_.assign(1, 1.0); 6280 __areas_.assign(1, 0.0); 6281 } 6282 else 6283 { 6284 __densities_.reserve(__b_.size() - 1); 6285 for (size_t __i = 0; __i < __b_.size() - 1; ++__i, ++__fW) 6286 __densities_.push_back(*__fW); 6287 __init(); 6288 } 6289} 6290 6291#ifndef _LIBCPP_CXX03_LANG 6292 6293template<class _RealType> 6294template<class _UnaryOperation> 6295piecewise_constant_distribution<_RealType>::param_type::param_type( 6296 initializer_list<result_type> __bl, _UnaryOperation __fw) 6297 : __b_(__bl.begin(), __bl.end()) 6298{ 6299 if (__b_.size() < 2) 6300 { 6301 __b_.resize(2); 6302 __b_[0] = 0; 6303 __b_[1] = 1; 6304 __densities_.assign(1, 1.0); 6305 __areas_.assign(1, 0.0); 6306 } 6307 else 6308 { 6309 __densities_.reserve(__b_.size() - 1); 6310 for (size_t __i = 0; __i < __b_.size() - 1; ++__i) 6311 __densities_.push_back(__fw((__b_[__i+1] + __b_[__i])*.5)); 6312 __init(); 6313 } 6314} 6315 6316#endif // _LIBCPP_CXX03_LANG 6317 6318template<class _RealType> 6319template<class _UnaryOperation> 6320piecewise_constant_distribution<_RealType>::param_type::param_type( 6321 size_t __nw, result_type __xmin, result_type __xmax, _UnaryOperation __fw) 6322 : __b_(__nw == 0 ? 2 : __nw + 1) 6323{ 6324 size_t __n = __b_.size() - 1; 6325 result_type __d = (__xmax - __xmin) / __n; 6326 __densities_.reserve(__n); 6327 for (size_t __i = 0; __i < __n; ++__i) 6328 { 6329 __b_[__i] = __xmin + __i * __d; 6330 __densities_.push_back(__fw(__b_[__i] + __d*.5)); 6331 } 6332 __b_[__n] = __xmax; 6333 __init(); 6334} 6335 6336template<class _RealType> 6337template<class _URNG> 6338_RealType 6339piecewise_constant_distribution<_RealType>::operator()(_URNG& __g, const param_type& __p) 6340{ 6341 typedef uniform_real_distribution<result_type> _Gen; 6342 result_type __u = _Gen()(__g); 6343 ptrdiff_t __k = _VSTD::upper_bound(__p.__areas_.begin(), __p.__areas_.end(), 6344 __u) - __p.__areas_.begin() - 1; 6345 return (__u - __p.__areas_[__k]) / __p.__densities_[__k] + __p.__b_[__k]; 6346} 6347 6348template <class _CharT, class _Traits, class _RT> 6349basic_ostream<_CharT, _Traits>& 6350operator<<(basic_ostream<_CharT, _Traits>& __os, 6351 const piecewise_constant_distribution<_RT>& __x) 6352{ 6353 __save_flags<_CharT, _Traits> __lx(__os); 6354 __os.flags(ios_base::dec | ios_base::left | ios_base::fixed | 6355 ios_base::scientific); 6356 _CharT __sp = __os.widen(' '); 6357 __os.fill(__sp); 6358 size_t __n = __x.__p_.__b_.size(); 6359 __os << __n; 6360 for (size_t __i = 0; __i < __n; ++__i) 6361 __os << __sp << __x.__p_.__b_[__i]; 6362 __n = __x.__p_.__densities_.size(); 6363 __os << __sp << __n; 6364 for (size_t __i = 0; __i < __n; ++__i) 6365 __os << __sp << __x.__p_.__densities_[__i]; 6366 __n = __x.__p_.__areas_.size(); 6367 __os << __sp << __n; 6368 for (size_t __i = 0; __i < __n; ++__i) 6369 __os << __sp << __x.__p_.__areas_[__i]; 6370 return __os; 6371} 6372 6373template <class _CharT, class _Traits, class _RT> 6374basic_istream<_CharT, _Traits>& 6375operator>>(basic_istream<_CharT, _Traits>& __is, 6376 piecewise_constant_distribution<_RT>& __x) 6377{ 6378 typedef piecewise_constant_distribution<_RT> _Eng; 6379 typedef typename _Eng::result_type result_type; 6380 __save_flags<_CharT, _Traits> __lx(__is); 6381 __is.flags(ios_base::dec | ios_base::skipws); 6382 size_t __n; 6383 __is >> __n; 6384 vector<result_type> __b(__n); 6385 for (size_t __i = 0; __i < __n; ++__i) 6386 __is >> __b[__i]; 6387 __is >> __n; 6388 vector<result_type> __densities(__n); 6389 for (size_t __i = 0; __i < __n; ++__i) 6390 __is >> __densities[__i]; 6391 __is >> __n; 6392 vector<result_type> __areas(__n); 6393 for (size_t __i = 0; __i < __n; ++__i) 6394 __is >> __areas[__i]; 6395 if (!__is.fail()) 6396 { 6397 swap(__x.__p_.__b_, __b); 6398 swap(__x.__p_.__densities_, __densities); 6399 swap(__x.__p_.__areas_, __areas); 6400 } 6401 return __is; 6402} 6403 6404// piecewise_linear_distribution 6405 6406template<class _RealType = double> 6407class _LIBCPP_TEMPLATE_VIS piecewise_linear_distribution 6408{ 6409public: 6410 // types 6411 typedef _RealType result_type; 6412 6413 class _LIBCPP_TEMPLATE_VIS param_type 6414 { 6415 vector<result_type> __b_; 6416 vector<result_type> __densities_; 6417 vector<result_type> __areas_; 6418 public: 6419 typedef piecewise_linear_distribution distribution_type; 6420 6421 param_type(); 6422 template<class _InputIteratorB, class _InputIteratorW> 6423 param_type(_InputIteratorB __fB, _InputIteratorB __lB, 6424 _InputIteratorW __fW); 6425#ifndef _LIBCPP_CXX03_LANG 6426 template<class _UnaryOperation> 6427 param_type(initializer_list<result_type> __bl, _UnaryOperation __fw); 6428#endif // _LIBCPP_CXX03_LANG 6429 template<class _UnaryOperation> 6430 param_type(size_t __nw, result_type __xmin, result_type __xmax, 6431 _UnaryOperation __fw); 6432 param_type(param_type const&) = default; 6433 param_type & operator=(const param_type& __rhs); 6434 6435 _LIBCPP_INLINE_VISIBILITY 6436 vector<result_type> intervals() const {return __b_;} 6437 _LIBCPP_INLINE_VISIBILITY 6438 vector<result_type> densities() const {return __densities_;} 6439 6440 friend _LIBCPP_INLINE_VISIBILITY 6441 bool operator==(const param_type& __x, const param_type& __y) 6442 {return __x.__densities_ == __y.__densities_ && __x.__b_ == __y.__b_;} 6443 friend _LIBCPP_INLINE_VISIBILITY 6444 bool operator!=(const param_type& __x, const param_type& __y) 6445 {return !(__x == __y);} 6446 6447 private: 6448 void __init(); 6449 6450 friend class piecewise_linear_distribution; 6451 6452 template <class _CharT, class _Traits, class _RT> 6453 friend 6454 basic_ostream<_CharT, _Traits>& 6455 operator<<(basic_ostream<_CharT, _Traits>& __os, 6456 const piecewise_linear_distribution<_RT>& __x); 6457 6458 template <class _CharT, class _Traits, class _RT> 6459 friend 6460 basic_istream<_CharT, _Traits>& 6461 operator>>(basic_istream<_CharT, _Traits>& __is, 6462 piecewise_linear_distribution<_RT>& __x); 6463 }; 6464 6465private: 6466 param_type __p_; 6467 6468public: 6469 // constructor and reset functions 6470 _LIBCPP_INLINE_VISIBILITY 6471 piecewise_linear_distribution() {} 6472 template<class _InputIteratorB, class _InputIteratorW> 6473 _LIBCPP_INLINE_VISIBILITY 6474 piecewise_linear_distribution(_InputIteratorB __fB, 6475 _InputIteratorB __lB, 6476 _InputIteratorW __fW) 6477 : __p_(__fB, __lB, __fW) {} 6478 6479#ifndef _LIBCPP_CXX03_LANG 6480 template<class _UnaryOperation> 6481 _LIBCPP_INLINE_VISIBILITY 6482 piecewise_linear_distribution(initializer_list<result_type> __bl, 6483 _UnaryOperation __fw) 6484 : __p_(__bl, __fw) {} 6485#endif // _LIBCPP_CXX03_LANG 6486 6487 template<class _UnaryOperation> 6488 _LIBCPP_INLINE_VISIBILITY 6489 piecewise_linear_distribution(size_t __nw, result_type __xmin, 6490 result_type __xmax, _UnaryOperation __fw) 6491 : __p_(__nw, __xmin, __xmax, __fw) {} 6492 6493 _LIBCPP_INLINE_VISIBILITY 6494 explicit piecewise_linear_distribution(const param_type& __p) 6495 : __p_(__p) {} 6496 6497 _LIBCPP_INLINE_VISIBILITY 6498 void reset() {} 6499 6500 // generating functions 6501 template<class _URNG> 6502 _LIBCPP_INLINE_VISIBILITY 6503 result_type operator()(_URNG& __g) 6504 {return (*this)(__g, __p_);} 6505 template<class _URNG> result_type operator()(_URNG& __g, const param_type& __p); 6506 6507 // property functions 6508 _LIBCPP_INLINE_VISIBILITY 6509 vector<result_type> intervals() const {return __p_.intervals();} 6510 _LIBCPP_INLINE_VISIBILITY 6511 vector<result_type> densities() const {return __p_.densities();} 6512 6513 _LIBCPP_INLINE_VISIBILITY 6514 param_type param() const {return __p_;} 6515 _LIBCPP_INLINE_VISIBILITY 6516 void param(const param_type& __p) {__p_ = __p;} 6517 6518 _LIBCPP_INLINE_VISIBILITY 6519 result_type min() const {return __p_.__b_.front();} 6520 _LIBCPP_INLINE_VISIBILITY 6521 result_type max() const {return __p_.__b_.back();} 6522 6523 friend _LIBCPP_INLINE_VISIBILITY 6524 bool operator==(const piecewise_linear_distribution& __x, 6525 const piecewise_linear_distribution& __y) 6526 {return __x.__p_ == __y.__p_;} 6527 friend _LIBCPP_INLINE_VISIBILITY 6528 bool operator!=(const piecewise_linear_distribution& __x, 6529 const piecewise_linear_distribution& __y) 6530 {return !(__x == __y);} 6531 6532 template <class _CharT, class _Traits, class _RT> 6533 friend 6534 basic_ostream<_CharT, _Traits>& 6535 operator<<(basic_ostream<_CharT, _Traits>& __os, 6536 const piecewise_linear_distribution<_RT>& __x); 6537 6538 template <class _CharT, class _Traits, class _RT> 6539 friend 6540 basic_istream<_CharT, _Traits>& 6541 operator>>(basic_istream<_CharT, _Traits>& __is, 6542 piecewise_linear_distribution<_RT>& __x); 6543}; 6544 6545template<class _RealType> 6546typename piecewise_linear_distribution<_RealType>::param_type & 6547piecewise_linear_distribution<_RealType>::param_type::operator= 6548 (const param_type& __rhs) 6549{ 6550// These can throw 6551 __b_.reserve (__rhs.__b_.size ()); 6552 __densities_.reserve(__rhs.__densities_.size()); 6553 __areas_.reserve (__rhs.__areas_.size()); 6554 6555// These can not throw 6556 __b_ = __rhs.__b_; 6557 __densities_ = __rhs.__densities_; 6558 __areas_ = __rhs.__areas_; 6559 return *this; 6560} 6561 6562 6563template<class _RealType> 6564void 6565piecewise_linear_distribution<_RealType>::param_type::__init() 6566{ 6567 __areas_.assign(__densities_.size() - 1, result_type()); 6568 result_type _Sp = 0; 6569 for (size_t __i = 0; __i < __areas_.size(); ++__i) 6570 { 6571 __areas_[__i] = (__densities_[__i+1] + __densities_[__i]) * 6572 (__b_[__i+1] - __b_[__i]) * .5; 6573 _Sp += __areas_[__i]; 6574 } 6575 for (size_t __i = __areas_.size(); __i > 1;) 6576 { 6577 --__i; 6578 __areas_[__i] = __areas_[__i-1] / _Sp; 6579 } 6580 __areas_[0] = 0; 6581 for (size_t __i = 1; __i < __areas_.size(); ++__i) 6582 __areas_[__i] += __areas_[__i-1]; 6583 for (size_t __i = 0; __i < __densities_.size(); ++__i) 6584 __densities_[__i] /= _Sp; 6585} 6586 6587template<class _RealType> 6588piecewise_linear_distribution<_RealType>::param_type::param_type() 6589 : __b_(2), 6590 __densities_(2, 1.0), 6591 __areas_(1, 0.0) 6592{ 6593 __b_[1] = 1; 6594} 6595 6596template<class _RealType> 6597template<class _InputIteratorB, class _InputIteratorW> 6598piecewise_linear_distribution<_RealType>::param_type::param_type( 6599 _InputIteratorB __fB, _InputIteratorB __lB, _InputIteratorW __fW) 6600 : __b_(__fB, __lB) 6601{ 6602 if (__b_.size() < 2) 6603 { 6604 __b_.resize(2); 6605 __b_[0] = 0; 6606 __b_[1] = 1; 6607 __densities_.assign(2, 1.0); 6608 __areas_.assign(1, 0.0); 6609 } 6610 else 6611 { 6612 __densities_.reserve(__b_.size()); 6613 for (size_t __i = 0; __i < __b_.size(); ++__i, ++__fW) 6614 __densities_.push_back(*__fW); 6615 __init(); 6616 } 6617} 6618 6619#ifndef _LIBCPP_CXX03_LANG 6620 6621template<class _RealType> 6622template<class _UnaryOperation> 6623piecewise_linear_distribution<_RealType>::param_type::param_type( 6624 initializer_list<result_type> __bl, _UnaryOperation __fw) 6625 : __b_(__bl.begin(), __bl.end()) 6626{ 6627 if (__b_.size() < 2) 6628 { 6629 __b_.resize(2); 6630 __b_[0] = 0; 6631 __b_[1] = 1; 6632 __densities_.assign(2, 1.0); 6633 __areas_.assign(1, 0.0); 6634 } 6635 else 6636 { 6637 __densities_.reserve(__b_.size()); 6638 for (size_t __i = 0; __i < __b_.size(); ++__i) 6639 __densities_.push_back(__fw(__b_[__i])); 6640 __init(); 6641 } 6642} 6643 6644#endif // _LIBCPP_CXX03_LANG 6645 6646template<class _RealType> 6647template<class _UnaryOperation> 6648piecewise_linear_distribution<_RealType>::param_type::param_type( 6649 size_t __nw, result_type __xmin, result_type __xmax, _UnaryOperation __fw) 6650 : __b_(__nw == 0 ? 2 : __nw + 1) 6651{ 6652 size_t __n = __b_.size() - 1; 6653 result_type __d = (__xmax - __xmin) / __n; 6654 __densities_.reserve(__b_.size()); 6655 for (size_t __i = 0; __i < __n; ++__i) 6656 { 6657 __b_[__i] = __xmin + __i * __d; 6658 __densities_.push_back(__fw(__b_[__i])); 6659 } 6660 __b_[__n] = __xmax; 6661 __densities_.push_back(__fw(__b_[__n])); 6662 __init(); 6663} 6664 6665template<class _RealType> 6666template<class _URNG> 6667_RealType 6668piecewise_linear_distribution<_RealType>::operator()(_URNG& __g, const param_type& __p) 6669{ 6670 typedef uniform_real_distribution<result_type> _Gen; 6671 result_type __u = _Gen()(__g); 6672 ptrdiff_t __k = _VSTD::upper_bound(__p.__areas_.begin(), __p.__areas_.end(), 6673 __u) - __p.__areas_.begin() - 1; 6674 __u -= __p.__areas_[__k]; 6675 const result_type __dk = __p.__densities_[__k]; 6676 const result_type __dk1 = __p.__densities_[__k+1]; 6677 const result_type __deltad = __dk1 - __dk; 6678 const result_type __bk = __p.__b_[__k]; 6679 if (__deltad == 0) 6680 return __u / __dk + __bk; 6681 const result_type __bk1 = __p.__b_[__k+1]; 6682 const result_type __deltab = __bk1 - __bk; 6683 return (__bk * __dk1 - __bk1 * __dk + 6684 _VSTD::sqrt(__deltab * (__deltab * __dk * __dk + 2 * __deltad * __u))) / 6685 __deltad; 6686} 6687 6688template <class _CharT, class _Traits, class _RT> 6689basic_ostream<_CharT, _Traits>& 6690operator<<(basic_ostream<_CharT, _Traits>& __os, 6691 const piecewise_linear_distribution<_RT>& __x) 6692{ 6693 __save_flags<_CharT, _Traits> __lx(__os); 6694 __os.flags(ios_base::dec | ios_base::left | ios_base::fixed | 6695 ios_base::scientific); 6696 _CharT __sp = __os.widen(' '); 6697 __os.fill(__sp); 6698 size_t __n = __x.__p_.__b_.size(); 6699 __os << __n; 6700 for (size_t __i = 0; __i < __n; ++__i) 6701 __os << __sp << __x.__p_.__b_[__i]; 6702 __n = __x.__p_.__densities_.size(); 6703 __os << __sp << __n; 6704 for (size_t __i = 0; __i < __n; ++__i) 6705 __os << __sp << __x.__p_.__densities_[__i]; 6706 __n = __x.__p_.__areas_.size(); 6707 __os << __sp << __n; 6708 for (size_t __i = 0; __i < __n; ++__i) 6709 __os << __sp << __x.__p_.__areas_[__i]; 6710 return __os; 6711} 6712 6713template <class _CharT, class _Traits, class _RT> 6714basic_istream<_CharT, _Traits>& 6715operator>>(basic_istream<_CharT, _Traits>& __is, 6716 piecewise_linear_distribution<_RT>& __x) 6717{ 6718 typedef piecewise_linear_distribution<_RT> _Eng; 6719 typedef typename _Eng::result_type result_type; 6720 __save_flags<_CharT, _Traits> __lx(__is); 6721 __is.flags(ios_base::dec | ios_base::skipws); 6722 size_t __n; 6723 __is >> __n; 6724 vector<result_type> __b(__n); 6725 for (size_t __i = 0; __i < __n; ++__i) 6726 __is >> __b[__i]; 6727 __is >> __n; 6728 vector<result_type> __densities(__n); 6729 for (size_t __i = 0; __i < __n; ++__i) 6730 __is >> __densities[__i]; 6731 __is >> __n; 6732 vector<result_type> __areas(__n); 6733 for (size_t __i = 0; __i < __n; ++__i) 6734 __is >> __areas[__i]; 6735 if (!__is.fail()) 6736 { 6737 swap(__x.__p_.__b_, __b); 6738 swap(__x.__p_.__densities_, __densities); 6739 swap(__x.__p_.__areas_, __areas); 6740 } 6741 return __is; 6742} 6743 6744_LIBCPP_END_NAMESPACE_STD 6745 6746_LIBCPP_POP_MACROS 6747 6748#endif // _LIBCPP_RANDOM 6749