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