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 <type_traits> 1638 #include <initializer_list> 1639 #include <cstdint> 1640 #include <limits> 1641 #include <algorithm> 1642 #include <numeric> 1643 #include <vector> 1644 #include <string> 1645 #include <istream> 1646 #include <ostream> 1647 #include <cmath> 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 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 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 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 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 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 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 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 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 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 int __f_; 3479 public: 3480 // types 3481 typedef unsigned result_type; 3482 3483 // generator characteristics 3484 static _LIBCPP_CONSTEXPR const result_type _Min = 0; 3485 static _LIBCPP_CONSTEXPR const result_type _Max = 0xFFFFFFFFu; 3486 3487 _LIBCPP_INLINE_VISIBILITY 3488 static _LIBCPP_CONSTEXPR result_type min() { return _Min;} 3489 _LIBCPP_INLINE_VISIBILITY 3490 static _LIBCPP_CONSTEXPR result_type max() { return _Max;} 3491 3492 // constructors 3493 explicit random_device(const string& __token = "/dev/urandom"); 3494 ~random_device(); 3495 3496 // generating functions 3497 result_type operator()(); 3498 3499 // property functions 3500 double entropy() const _NOEXCEPT; 3501 3502 private: 3503 // no copy functions 3504 random_device(const random_device&); // = delete; 3505 random_device& operator=(const random_device&); // = delete; 3506 }; 3507 3508 // seed_seq 3509 3510 class _LIBCPP_TYPE_VIS seed_seq 3511 { 3512 public: 3513 // types 3514 typedef uint32_t result_type; 3515 3516 private: 3517 vector<result_type> __v_; 3518 3519 template<class _InputIterator> 3520 void init(_InputIterator __first, _InputIterator __last); 3521 public: 3522 // constructors 3523 _LIBCPP_INLINE_VISIBILITY 3524 seed_seq() {} 3525 #ifndef _LIBCPP_HAS_NO_GENERALIZED_INITIALIZERS 3526 template<class _Tp> 3527 _LIBCPP_INLINE_VISIBILITY 3528 seed_seq(initializer_list<_Tp> __il) {init(__il.begin(), __il.end());} 3529 #endif // _LIBCPP_HAS_NO_GENERALIZED_INITIALIZERS 3530 3531 template<class _InputIterator> 3532 _LIBCPP_INLINE_VISIBILITY 3533 seed_seq(_InputIterator __first, _InputIterator __last) 3534 {init(__first, __last);} 3535 3536 // generating functions 3537 template<class _RandomAccessIterator> 3538 void generate(_RandomAccessIterator __first, _RandomAccessIterator __last); 3539 3540 // property functions 3541 _LIBCPP_INLINE_VISIBILITY 3542 size_t size() const {return __v_.size();} 3543 template<class _OutputIterator> 3544 _LIBCPP_INLINE_VISIBILITY 3545 void param(_OutputIterator __dest) const 3546 {_VSTD::copy(__v_.begin(), __v_.end(), __dest);} 3547 3548 private: 3549 // no copy functions 3550 seed_seq(const seed_seq&); // = delete; 3551 void operator=(const seed_seq&); // = delete; 3552 3553 _LIBCPP_INLINE_VISIBILITY 3554 static result_type _Tp(result_type __x) {return __x ^ (__x >> 27);} 3555 }; 3556 3557 template<class _InputIterator> 3558 void 3559 seed_seq::init(_InputIterator __first, _InputIterator __last) 3560 { 3561 for (_InputIterator __s = __first; __s != __last; ++__s) 3562 __v_.push_back(*__s & 0xFFFFFFFF); 3563 } 3564 3565 template<class _RandomAccessIterator> 3566 void 3567 seed_seq::generate(_RandomAccessIterator __first, _RandomAccessIterator __last) 3568 { 3569 if (__first != __last) 3570 { 3571 _VSTD::fill(__first, __last, 0x8b8b8b8b); 3572 const size_t __n = static_cast<size_t>(__last - __first); 3573 const size_t __s = __v_.size(); 3574 const size_t __t = (__n >= 623) ? 11 3575 : (__n >= 68) ? 7 3576 : (__n >= 39) ? 5 3577 : (__n >= 7) ? 3 3578 : (__n - 1) / 2; 3579 const size_t __p = (__n - __t) / 2; 3580 const size_t __q = __p + __t; 3581 const size_t __m = _VSTD::max(__s + 1, __n); 3582 // __k = 0; 3583 { 3584 result_type __r = 1664525 * _Tp(__first[0] ^ __first[__p] 3585 ^ __first[__n - 1]); 3586 __first[__p] += __r; 3587 __r += __s; 3588 __first[__q] += __r; 3589 __first[0] = __r; 3590 } 3591 for (size_t __k = 1; __k <= __s; ++__k) 3592 { 3593 const size_t __kmodn = __k % __n; 3594 const size_t __kpmodn = (__k + __p) % __n; 3595 result_type __r = 1664525 * _Tp(__first[__kmodn] ^ __first[__kpmodn] 3596 ^ __first[(__k - 1) % __n]); 3597 __first[__kpmodn] += __r; 3598 __r += __kmodn + __v_[__k-1]; 3599 __first[(__k + __q) % __n] += __r; 3600 __first[__kmodn] = __r; 3601 } 3602 for (size_t __k = __s + 1; __k < __m; ++__k) 3603 { 3604 const size_t __kmodn = __k % __n; 3605 const size_t __kpmodn = (__k + __p) % __n; 3606 result_type __r = 1664525 * _Tp(__first[__kmodn] ^ __first[__kpmodn] 3607 ^ __first[(__k - 1) % __n]); 3608 __first[__kpmodn] += __r; 3609 __r += __kmodn; 3610 __first[(__k + __q) % __n] += __r; 3611 __first[__kmodn] = __r; 3612 } 3613 for (size_t __k = __m; __k < __m + __n; ++__k) 3614 { 3615 const size_t __kmodn = __k % __n; 3616 const size_t __kpmodn = (__k + __p) % __n; 3617 result_type __r = 1566083941 * _Tp(__first[__kmodn] + 3618 __first[__kpmodn] + 3619 __first[(__k - 1) % __n]); 3620 __first[__kpmodn] ^= __r; 3621 __r -= __kmodn; 3622 __first[(__k + __q) % __n] ^= __r; 3623 __first[__kmodn] = __r; 3624 } 3625 } 3626 } 3627 3628 // generate_canonical 3629 3630 template<class _RealType, size_t __bits, class _URNG> 3631 _RealType 3632 generate_canonical(_URNG& __g) 3633 { 3634 const size_t _Dt = numeric_limits<_RealType>::digits; 3635 const size_t __b = _Dt < __bits ? _Dt : __bits; 3636 #ifdef _LIBCPP_HAS_NO_CONSTEXPR 3637 const size_t __logR = __log2<uint64_t, _URNG::_Max - _URNG::_Min + uint64_t(1)>::value; 3638 #else 3639 const size_t __logR = __log2<uint64_t, _URNG::max() - _URNG::min() + uint64_t(1)>::value; 3640 #endif 3641 const size_t __k = __b / __logR + (__b % __logR != 0) + (__b == 0); 3642 const _RealType _Rp = _URNG::max() - _URNG::min() + _RealType(1); 3643 _RealType __base = _Rp; 3644 _RealType _Sp = __g() - _URNG::min(); 3645 for (size_t __i = 1; __i < __k; ++__i, __base *= _Rp) 3646 _Sp += (__g() - _URNG::min()) * __base; 3647 return _Sp / __base; 3648 } 3649 3650 // uniform_int_distribution 3651 3652 // in <algorithm> 3653 3654 template <class _CharT, class _Traits, class _IT> 3655 basic_ostream<_CharT, _Traits>& 3656 operator<<(basic_ostream<_CharT, _Traits>& __os, 3657 const uniform_int_distribution<_IT>& __x) 3658 { 3659 __save_flags<_CharT, _Traits> __lx(__os); 3660 __os.flags(ios_base::dec | ios_base::left); 3661 _CharT __sp = __os.widen(' '); 3662 __os.fill(__sp); 3663 return __os << __x.a() << __sp << __x.b(); 3664 } 3665 3666 template <class _CharT, class _Traits, class _IT> 3667 basic_istream<_CharT, _Traits>& 3668 operator>>(basic_istream<_CharT, _Traits>& __is, 3669 uniform_int_distribution<_IT>& __x) 3670 { 3671 typedef uniform_int_distribution<_IT> _Eng; 3672 typedef typename _Eng::result_type result_type; 3673 typedef typename _Eng::param_type param_type; 3674 __save_flags<_CharT, _Traits> __lx(__is); 3675 __is.flags(ios_base::dec | ios_base::skipws); 3676 result_type __a; 3677 result_type __b; 3678 __is >> __a >> __b; 3679 if (!__is.fail()) 3680 __x.param(param_type(__a, __b)); 3681 return __is; 3682 } 3683 3684 // uniform_real_distribution 3685 3686 template<class _RealType = double> 3687 class _LIBCPP_TYPE_VIS uniform_real_distribution 3688 { 3689 public: 3690 // types 3691 typedef _RealType result_type; 3692 3693 class _LIBCPP_TYPE_VIS param_type 3694 { 3695 result_type __a_; 3696 result_type __b_; 3697 public: 3698 typedef uniform_real_distribution distribution_type; 3699 3700 _LIBCPP_INLINE_VISIBILITY 3701 explicit param_type(result_type __a = 0, 3702 result_type __b = 1) 3703 : __a_(__a), __b_(__b) {} 3704 3705 _LIBCPP_INLINE_VISIBILITY 3706 result_type a() const {return __a_;} 3707 _LIBCPP_INLINE_VISIBILITY 3708 result_type b() const {return __b_;} 3709 3710 friend _LIBCPP_INLINE_VISIBILITY 3711 bool operator==(const param_type& __x, const param_type& __y) 3712 {return __x.__a_ == __y.__a_ && __x.__b_ == __y.__b_;} 3713 friend _LIBCPP_INLINE_VISIBILITY 3714 bool operator!=(const param_type& __x, const param_type& __y) 3715 {return !(__x == __y);} 3716 }; 3717 3718 private: 3719 param_type __p_; 3720 3721 public: 3722 // constructors and reset functions 3723 _LIBCPP_INLINE_VISIBILITY 3724 explicit uniform_real_distribution(result_type __a = 0, result_type __b = 1) 3725 : __p_(param_type(__a, __b)) {} 3726 _LIBCPP_INLINE_VISIBILITY 3727 explicit uniform_real_distribution(const param_type& __p) : __p_(__p) {} 3728 _LIBCPP_INLINE_VISIBILITY 3729 void reset() {} 3730 3731 // generating functions 3732 template<class _URNG> 3733 _LIBCPP_INLINE_VISIBILITY 3734 result_type operator()(_URNG& __g) 3735 {return (*this)(__g, __p_);} 3736 template<class _URNG> result_type operator()(_URNG& __g, const param_type& __p); 3737 3738 // property functions 3739 _LIBCPP_INLINE_VISIBILITY 3740 result_type a() const {return __p_.a();} 3741 _LIBCPP_INLINE_VISIBILITY 3742 result_type b() const {return __p_.b();} 3743 3744 _LIBCPP_INLINE_VISIBILITY 3745 param_type param() const {return __p_;} 3746 _LIBCPP_INLINE_VISIBILITY 3747 void param(const param_type& __p) {__p_ = __p;} 3748 3749 _LIBCPP_INLINE_VISIBILITY 3750 result_type min() const {return a();} 3751 _LIBCPP_INLINE_VISIBILITY 3752 result_type max() const {return b();} 3753 3754 friend _LIBCPP_INLINE_VISIBILITY 3755 bool operator==(const uniform_real_distribution& __x, 3756 const uniform_real_distribution& __y) 3757 {return __x.__p_ == __y.__p_;} 3758 friend _LIBCPP_INLINE_VISIBILITY 3759 bool operator!=(const uniform_real_distribution& __x, 3760 const uniform_real_distribution& __y) 3761 {return !(__x == __y);} 3762 }; 3763 3764 template<class _RealType> 3765 template<class _URNG> 3766 inline _LIBCPP_INLINE_VISIBILITY 3767 typename uniform_real_distribution<_RealType>::result_type 3768 uniform_real_distribution<_RealType>::operator()(_URNG& __g, const param_type& __p) 3769 { 3770 return (__p.b() - __p.a()) 3771 * _VSTD::generate_canonical<_RealType, numeric_limits<_RealType>::digits>(__g) 3772 + __p.a(); 3773 } 3774 3775 template <class _CharT, class _Traits, class _RT> 3776 basic_ostream<_CharT, _Traits>& 3777 operator<<(basic_ostream<_CharT, _Traits>& __os, 3778 const uniform_real_distribution<_RT>& __x) 3779 { 3780 __save_flags<_CharT, _Traits> __lx(__os); 3781 __os.flags(ios_base::dec | ios_base::left | ios_base::fixed | 3782 ios_base::scientific); 3783 _CharT __sp = __os.widen(' '); 3784 __os.fill(__sp); 3785 return __os << __x.a() << __sp << __x.b(); 3786 } 3787 3788 template <class _CharT, class _Traits, class _RT> 3789 basic_istream<_CharT, _Traits>& 3790 operator>>(basic_istream<_CharT, _Traits>& __is, 3791 uniform_real_distribution<_RT>& __x) 3792 { 3793 typedef uniform_real_distribution<_RT> _Eng; 3794 typedef typename _Eng::result_type result_type; 3795 typedef typename _Eng::param_type param_type; 3796 __save_flags<_CharT, _Traits> __lx(__is); 3797 __is.flags(ios_base::dec | ios_base::skipws); 3798 result_type __a; 3799 result_type __b; 3800 __is >> __a >> __b; 3801 if (!__is.fail()) 3802 __x.param(param_type(__a, __b)); 3803 return __is; 3804 } 3805 3806 // bernoulli_distribution 3807 3808 class _LIBCPP_TYPE_VIS bernoulli_distribution 3809 { 3810 public: 3811 // types 3812 typedef bool result_type; 3813 3814 class _LIBCPP_TYPE_VIS param_type 3815 { 3816 double __p_; 3817 public: 3818 typedef bernoulli_distribution distribution_type; 3819 3820 _LIBCPP_INLINE_VISIBILITY 3821 explicit param_type(double __p = 0.5) : __p_(__p) {} 3822 3823 _LIBCPP_INLINE_VISIBILITY 3824 double p() const {return __p_;} 3825 3826 friend _LIBCPP_INLINE_VISIBILITY 3827 bool operator==(const param_type& __x, const param_type& __y) 3828 {return __x.__p_ == __y.__p_;} 3829 friend _LIBCPP_INLINE_VISIBILITY 3830 bool operator!=(const param_type& __x, const param_type& __y) 3831 {return !(__x == __y);} 3832 }; 3833 3834 private: 3835 param_type __p_; 3836 3837 public: 3838 // constructors and reset functions 3839 _LIBCPP_INLINE_VISIBILITY 3840 explicit bernoulli_distribution(double __p = 0.5) 3841 : __p_(param_type(__p)) {} 3842 _LIBCPP_INLINE_VISIBILITY 3843 explicit bernoulli_distribution(const param_type& __p) : __p_(__p) {} 3844 _LIBCPP_INLINE_VISIBILITY 3845 void reset() {} 3846 3847 // generating functions 3848 template<class _URNG> 3849 _LIBCPP_INLINE_VISIBILITY 3850 result_type operator()(_URNG& __g) 3851 {return (*this)(__g, __p_);} 3852 template<class _URNG> result_type operator()(_URNG& __g, const param_type& __p); 3853 3854 // property functions 3855 _LIBCPP_INLINE_VISIBILITY 3856 double p() const {return __p_.p();} 3857 3858 _LIBCPP_INLINE_VISIBILITY 3859 param_type param() const {return __p_;} 3860 _LIBCPP_INLINE_VISIBILITY 3861 void param(const param_type& __p) {__p_ = __p;} 3862 3863 _LIBCPP_INLINE_VISIBILITY 3864 result_type min() const {return false;} 3865 _LIBCPP_INLINE_VISIBILITY 3866 result_type max() const {return true;} 3867 3868 friend _LIBCPP_INLINE_VISIBILITY 3869 bool operator==(const bernoulli_distribution& __x, 3870 const bernoulli_distribution& __y) 3871 {return __x.__p_ == __y.__p_;} 3872 friend _LIBCPP_INLINE_VISIBILITY 3873 bool operator!=(const bernoulli_distribution& __x, 3874 const bernoulli_distribution& __y) 3875 {return !(__x == __y);} 3876 }; 3877 3878 template<class _URNG> 3879 inline _LIBCPP_INLINE_VISIBILITY 3880 bernoulli_distribution::result_type 3881 bernoulli_distribution::operator()(_URNG& __g, const param_type& __p) 3882 { 3883 uniform_real_distribution<double> __gen; 3884 return __gen(__g) < __p.p(); 3885 } 3886 3887 template <class _CharT, class _Traits> 3888 basic_ostream<_CharT, _Traits>& 3889 operator<<(basic_ostream<_CharT, _Traits>& __os, const bernoulli_distribution& __x) 3890 { 3891 __save_flags<_CharT, _Traits> __lx(__os); 3892 __os.flags(ios_base::dec | ios_base::left | ios_base::fixed | 3893 ios_base::scientific); 3894 _CharT __sp = __os.widen(' '); 3895 __os.fill(__sp); 3896 return __os << __x.p(); 3897 } 3898 3899 template <class _CharT, class _Traits> 3900 basic_istream<_CharT, _Traits>& 3901 operator>>(basic_istream<_CharT, _Traits>& __is, bernoulli_distribution& __x) 3902 { 3903 typedef bernoulli_distribution _Eng; 3904 typedef typename _Eng::param_type param_type; 3905 __save_flags<_CharT, _Traits> __lx(__is); 3906 __is.flags(ios_base::dec | ios_base::skipws); 3907 double __p; 3908 __is >> __p; 3909 if (!__is.fail()) 3910 __x.param(param_type(__p)); 3911 return __is; 3912 } 3913 3914 // binomial_distribution 3915 3916 template<class _IntType = int> 3917 class _LIBCPP_TYPE_VIS binomial_distribution 3918 { 3919 public: 3920 // types 3921 typedef _IntType result_type; 3922 3923 class _LIBCPP_TYPE_VIS param_type 3924 { 3925 result_type __t_; 3926 double __p_; 3927 double __pr_; 3928 double __odds_ratio_; 3929 result_type __r0_; 3930 public: 3931 typedef binomial_distribution distribution_type; 3932 3933 explicit param_type(result_type __t = 1, double __p = 0.5); 3934 3935 _LIBCPP_INLINE_VISIBILITY 3936 result_type t() const {return __t_;} 3937 _LIBCPP_INLINE_VISIBILITY 3938 double p() const {return __p_;} 3939 3940 friend _LIBCPP_INLINE_VISIBILITY 3941 bool operator==(const param_type& __x, const param_type& __y) 3942 {return __x.__t_ == __y.__t_ && __x.__p_ == __y.__p_;} 3943 friend _LIBCPP_INLINE_VISIBILITY 3944 bool operator!=(const param_type& __x, const param_type& __y) 3945 {return !(__x == __y);} 3946 3947 friend class binomial_distribution; 3948 }; 3949 3950 private: 3951 param_type __p_; 3952 3953 public: 3954 // constructors and reset functions 3955 _LIBCPP_INLINE_VISIBILITY 3956 explicit binomial_distribution(result_type __t = 1, double __p = 0.5) 3957 : __p_(param_type(__t, __p)) {} 3958 _LIBCPP_INLINE_VISIBILITY 3959 explicit binomial_distribution(const param_type& __p) : __p_(__p) {} 3960 _LIBCPP_INLINE_VISIBILITY 3961 void reset() {} 3962 3963 // generating functions 3964 template<class _URNG> 3965 _LIBCPP_INLINE_VISIBILITY 3966 result_type operator()(_URNG& __g) 3967 {return (*this)(__g, __p_);} 3968 template<class _URNG> result_type operator()(_URNG& __g, const param_type& __p); 3969 3970 // property functions 3971 _LIBCPP_INLINE_VISIBILITY 3972 result_type t() const {return __p_.t();} 3973 _LIBCPP_INLINE_VISIBILITY 3974 double p() const {return __p_.p();} 3975 3976 _LIBCPP_INLINE_VISIBILITY 3977 param_type param() const {return __p_;} 3978 _LIBCPP_INLINE_VISIBILITY 3979 void param(const param_type& __p) {__p_ = __p;} 3980 3981 _LIBCPP_INLINE_VISIBILITY 3982 result_type min() const {return 0;} 3983 _LIBCPP_INLINE_VISIBILITY 3984 result_type max() const {return t();} 3985 3986 friend _LIBCPP_INLINE_VISIBILITY 3987 bool operator==(const binomial_distribution& __x, 3988 const binomial_distribution& __y) 3989 {return __x.__p_ == __y.__p_;} 3990 friend _LIBCPP_INLINE_VISIBILITY 3991 bool operator!=(const binomial_distribution& __x, 3992 const binomial_distribution& __y) 3993 {return !(__x == __y);} 3994 }; 3995 3996 template<class _IntType> 3997 binomial_distribution<_IntType>::param_type::param_type(result_type __t, double __p) 3998 : __t_(__t), __p_(__p) 3999 { 4000 if (0 < __p_ && __p_ < 1) 4001 { 4002 __r0_ = static_cast<result_type>((__t_ + 1) * __p_); 4003 __pr_ = _VSTD::exp(_VSTD::lgamma(__t_ + 1.) - _VSTD::lgamma(__r0_ + 1.) - 4004 _VSTD::lgamma(__t_ - __r0_ + 1.) + __r0_ * _VSTD::log(__p_) + 4005 (__t_ - __r0_) * _VSTD::log(1 - __p_)); 4006 __odds_ratio_ = __p_ / (1 - __p_); 4007 } 4008 } 4009 4010 template<class _IntType> 4011 template<class _URNG> 4012 _IntType 4013 binomial_distribution<_IntType>::operator()(_URNG& __g, const param_type& __pr) 4014 { 4015 if (__pr.__t_ == 0 || __pr.__p_ == 0) 4016 return 0; 4017 if (__pr.__p_ == 1) 4018 return __pr.__t_; 4019 uniform_real_distribution<double> __gen; 4020 double __u = __gen(__g) - __pr.__pr_; 4021 if (__u < 0) 4022 return __pr.__r0_; 4023 double __pu = __pr.__pr_; 4024 double __pd = __pu; 4025 result_type __ru = __pr.__r0_; 4026 result_type __rd = __ru; 4027 while (true) 4028 { 4029 if (__rd >= 1) 4030 { 4031 __pd *= __rd / (__pr.__odds_ratio_ * (__pr.__t_ - __rd + 1)); 4032 __u -= __pd; 4033 if (__u < 0) 4034 return __rd - 1; 4035 } 4036 --__rd; 4037 ++__ru; 4038 if (__ru <= __pr.__t_) 4039 { 4040 __pu *= (__pr.__t_ - __ru + 1) * __pr.__odds_ratio_ / __ru; 4041 __u -= __pu; 4042 if (__u < 0) 4043 return __ru; 4044 } 4045 } 4046 } 4047 4048 template <class _CharT, class _Traits, class _IntType> 4049 basic_ostream<_CharT, _Traits>& 4050 operator<<(basic_ostream<_CharT, _Traits>& __os, 4051 const binomial_distribution<_IntType>& __x) 4052 { 4053 __save_flags<_CharT, _Traits> __lx(__os); 4054 __os.flags(ios_base::dec | ios_base::left | ios_base::fixed | 4055 ios_base::scientific); 4056 _CharT __sp = __os.widen(' '); 4057 __os.fill(__sp); 4058 return __os << __x.t() << __sp << __x.p(); 4059 } 4060 4061 template <class _CharT, class _Traits, class _IntType> 4062 basic_istream<_CharT, _Traits>& 4063 operator>>(basic_istream<_CharT, _Traits>& __is, 4064 binomial_distribution<_IntType>& __x) 4065 { 4066 typedef binomial_distribution<_IntType> _Eng; 4067 typedef typename _Eng::result_type result_type; 4068 typedef typename _Eng::param_type param_type; 4069 __save_flags<_CharT, _Traits> __lx(__is); 4070 __is.flags(ios_base::dec | ios_base::skipws); 4071 result_type __t; 4072 double __p; 4073 __is >> __t >> __p; 4074 if (!__is.fail()) 4075 __x.param(param_type(__t, __p)); 4076 return __is; 4077 } 4078 4079 // exponential_distribution 4080 4081 template<class _RealType = double> 4082 class _LIBCPP_TYPE_VIS exponential_distribution 4083 { 4084 public: 4085 // types 4086 typedef _RealType result_type; 4087 4088 class _LIBCPP_TYPE_VIS param_type 4089 { 4090 result_type __lambda_; 4091 public: 4092 typedef exponential_distribution distribution_type; 4093 4094 _LIBCPP_INLINE_VISIBILITY 4095 explicit param_type(result_type __lambda = 1) : __lambda_(__lambda) {} 4096 4097 _LIBCPP_INLINE_VISIBILITY 4098 result_type lambda() const {return __lambda_;} 4099 4100 friend _LIBCPP_INLINE_VISIBILITY 4101 bool operator==(const param_type& __x, const param_type& __y) 4102 {return __x.__lambda_ == __y.__lambda_;} 4103 friend _LIBCPP_INLINE_VISIBILITY 4104 bool operator!=(const param_type& __x, const param_type& __y) 4105 {return !(__x == __y);} 4106 }; 4107 4108 private: 4109 param_type __p_; 4110 4111 public: 4112 // constructors and reset functions 4113 _LIBCPP_INLINE_VISIBILITY 4114 explicit exponential_distribution(result_type __lambda = 1) 4115 : __p_(param_type(__lambda)) {} 4116 _LIBCPP_INLINE_VISIBILITY 4117 explicit exponential_distribution(const param_type& __p) : __p_(__p) {} 4118 _LIBCPP_INLINE_VISIBILITY 4119 void reset() {} 4120 4121 // generating functions 4122 template<class _URNG> 4123 _LIBCPP_INLINE_VISIBILITY 4124 result_type operator()(_URNG& __g) 4125 {return (*this)(__g, __p_);} 4126 template<class _URNG> result_type operator()(_URNG& __g, const param_type& __p); 4127 4128 // property functions 4129 _LIBCPP_INLINE_VISIBILITY 4130 result_type lambda() const {return __p_.lambda();} 4131 4132 _LIBCPP_INLINE_VISIBILITY 4133 param_type param() const {return __p_;} 4134 _LIBCPP_INLINE_VISIBILITY 4135 void param(const param_type& __p) {__p_ = __p;} 4136 4137 _LIBCPP_INLINE_VISIBILITY 4138 result_type min() const {return 0;} 4139 _LIBCPP_INLINE_VISIBILITY 4140 result_type max() const {return numeric_limits<result_type>::infinity();} 4141 4142 friend _LIBCPP_INLINE_VISIBILITY 4143 bool operator==(const exponential_distribution& __x, 4144 const exponential_distribution& __y) 4145 {return __x.__p_ == __y.__p_;} 4146 friend _LIBCPP_INLINE_VISIBILITY 4147 bool operator!=(const exponential_distribution& __x, 4148 const exponential_distribution& __y) 4149 {return !(__x == __y);} 4150 }; 4151 4152 template <class _RealType> 4153 template<class _URNG> 4154 _RealType 4155 exponential_distribution<_RealType>::operator()(_URNG& __g, const param_type& __p) 4156 { 4157 return -_VSTD::log 4158 ( 4159 result_type(1) - 4160 _VSTD::generate_canonical<result_type, 4161 numeric_limits<result_type>::digits>(__g) 4162 ) 4163 / __p.lambda(); 4164 } 4165 4166 template <class _CharT, class _Traits, class _RealType> 4167 basic_ostream<_CharT, _Traits>& 4168 operator<<(basic_ostream<_CharT, _Traits>& __os, 4169 const exponential_distribution<_RealType>& __x) 4170 { 4171 __save_flags<_CharT, _Traits> __lx(__os); 4172 __os.flags(ios_base::dec | ios_base::left | ios_base::fixed | 4173 ios_base::scientific); 4174 return __os << __x.lambda(); 4175 } 4176 4177 template <class _CharT, class _Traits, class _RealType> 4178 basic_istream<_CharT, _Traits>& 4179 operator>>(basic_istream<_CharT, _Traits>& __is, 4180 exponential_distribution<_RealType>& __x) 4181 { 4182 typedef exponential_distribution<_RealType> _Eng; 4183 typedef typename _Eng::result_type result_type; 4184 typedef typename _Eng::param_type param_type; 4185 __save_flags<_CharT, _Traits> __lx(__is); 4186 __is.flags(ios_base::dec | ios_base::skipws); 4187 result_type __lambda; 4188 __is >> __lambda; 4189 if (!__is.fail()) 4190 __x.param(param_type(__lambda)); 4191 return __is; 4192 } 4193 4194 // normal_distribution 4195 4196 template<class _RealType = double> 4197 class _LIBCPP_TYPE_VIS normal_distribution 4198 { 4199 public: 4200 // types 4201 typedef _RealType result_type; 4202 4203 class _LIBCPP_TYPE_VIS param_type 4204 { 4205 result_type __mean_; 4206 result_type __stddev_; 4207 public: 4208 typedef normal_distribution distribution_type; 4209 4210 _LIBCPP_INLINE_VISIBILITY 4211 explicit param_type(result_type __mean = 0, result_type __stddev = 1) 4212 : __mean_(__mean), __stddev_(__stddev) {} 4213 4214 _LIBCPP_INLINE_VISIBILITY 4215 result_type mean() const {return __mean_;} 4216 _LIBCPP_INLINE_VISIBILITY 4217 result_type stddev() const {return __stddev_;} 4218 4219 friend _LIBCPP_INLINE_VISIBILITY 4220 bool operator==(const param_type& __x, const param_type& __y) 4221 {return __x.__mean_ == __y.__mean_ && __x.__stddev_ == __y.__stddev_;} 4222 friend _LIBCPP_INLINE_VISIBILITY 4223 bool operator!=(const param_type& __x, const param_type& __y) 4224 {return !(__x == __y);} 4225 }; 4226 4227 private: 4228 param_type __p_; 4229 result_type _V_; 4230 bool _V_hot_; 4231 4232 public: 4233 // constructors and reset functions 4234 _LIBCPP_INLINE_VISIBILITY 4235 explicit normal_distribution(result_type __mean = 0, result_type __stddev = 1) 4236 : __p_(param_type(__mean, __stddev)), _V_hot_(false) {} 4237 _LIBCPP_INLINE_VISIBILITY 4238 explicit normal_distribution(const param_type& __p) 4239 : __p_(__p), _V_hot_(false) {} 4240 _LIBCPP_INLINE_VISIBILITY 4241 void reset() {_V_hot_ = false;} 4242 4243 // generating functions 4244 template<class _URNG> 4245 _LIBCPP_INLINE_VISIBILITY 4246 result_type operator()(_URNG& __g) 4247 {return (*this)(__g, __p_);} 4248 template<class _URNG> result_type operator()(_URNG& __g, const param_type& __p); 4249 4250 // property functions 4251 _LIBCPP_INLINE_VISIBILITY 4252 result_type mean() const {return __p_.mean();} 4253 _LIBCPP_INLINE_VISIBILITY 4254 result_type stddev() const {return __p_.stddev();} 4255 4256 _LIBCPP_INLINE_VISIBILITY 4257 param_type param() const {return __p_;} 4258 _LIBCPP_INLINE_VISIBILITY 4259 void param(const param_type& __p) {__p_ = __p;} 4260 4261 _LIBCPP_INLINE_VISIBILITY 4262 result_type min() const {return -numeric_limits<result_type>::infinity();} 4263 _LIBCPP_INLINE_VISIBILITY 4264 result_type max() const {return numeric_limits<result_type>::infinity();} 4265 4266 friend _LIBCPP_INLINE_VISIBILITY 4267 bool operator==(const normal_distribution& __x, 4268 const normal_distribution& __y) 4269 {return __x.__p_ == __y.__p_ && __x._V_hot_ == __y._V_hot_ && 4270 (!__x._V_hot_ || __x._V_ == __y._V_);} 4271 friend _LIBCPP_INLINE_VISIBILITY 4272 bool operator!=(const normal_distribution& __x, 4273 const normal_distribution& __y) 4274 {return !(__x == __y);} 4275 4276 template <class _CharT, class _Traits, class _RT> 4277 friend 4278 basic_ostream<_CharT, _Traits>& 4279 operator<<(basic_ostream<_CharT, _Traits>& __os, 4280 const normal_distribution<_RT>& __x); 4281 4282 template <class _CharT, class _Traits, class _RT> 4283 friend 4284 basic_istream<_CharT, _Traits>& 4285 operator>>(basic_istream<_CharT, _Traits>& __is, 4286 normal_distribution<_RT>& __x); 4287 }; 4288 4289 template <class _RealType> 4290 template<class _URNG> 4291 _RealType 4292 normal_distribution<_RealType>::operator()(_URNG& __g, const param_type& __p) 4293 { 4294 result_type _Up; 4295 if (_V_hot_) 4296 { 4297 _V_hot_ = false; 4298 _Up = _V_; 4299 } 4300 else 4301 { 4302 uniform_real_distribution<result_type> _Uni(-1, 1); 4303 result_type __u; 4304 result_type __v; 4305 result_type __s; 4306 do 4307 { 4308 __u = _Uni(__g); 4309 __v = _Uni(__g); 4310 __s = __u * __u + __v * __v; 4311 } while (__s > 1 || __s == 0); 4312 result_type _Fp = _VSTD::sqrt(-2 * _VSTD::log(__s) / __s); 4313 _V_ = __v * _Fp; 4314 _V_hot_ = true; 4315 _Up = __u * _Fp; 4316 } 4317 return _Up * __p.stddev() + __p.mean(); 4318 } 4319 4320 template <class _CharT, class _Traits, class _RT> 4321 basic_ostream<_CharT, _Traits>& 4322 operator<<(basic_ostream<_CharT, _Traits>& __os, 4323 const normal_distribution<_RT>& __x) 4324 { 4325 __save_flags<_CharT, _Traits> __lx(__os); 4326 __os.flags(ios_base::dec | ios_base::left | ios_base::fixed | 4327 ios_base::scientific); 4328 _CharT __sp = __os.widen(' '); 4329 __os.fill(__sp); 4330 __os << __x.mean() << __sp << __x.stddev() << __sp << __x._V_hot_; 4331 if (__x._V_hot_) 4332 __os << __sp << __x._V_; 4333 return __os; 4334 } 4335 4336 template <class _CharT, class _Traits, class _RT> 4337 basic_istream<_CharT, _Traits>& 4338 operator>>(basic_istream<_CharT, _Traits>& __is, 4339 normal_distribution<_RT>& __x) 4340 { 4341 typedef normal_distribution<_RT> _Eng; 4342 typedef typename _Eng::result_type result_type; 4343 typedef typename _Eng::param_type param_type; 4344 __save_flags<_CharT, _Traits> __lx(__is); 4345 __is.flags(ios_base::dec | ios_base::skipws); 4346 result_type __mean; 4347 result_type __stddev; 4348 result_type _Vp = 0; 4349 bool _V_hot = false; 4350 __is >> __mean >> __stddev >> _V_hot; 4351 if (_V_hot) 4352 __is >> _Vp; 4353 if (!__is.fail()) 4354 { 4355 __x.param(param_type(__mean, __stddev)); 4356 __x._V_hot_ = _V_hot; 4357 __x._V_ = _Vp; 4358 } 4359 return __is; 4360 } 4361 4362 // lognormal_distribution 4363 4364 template<class _RealType = double> 4365 class _LIBCPP_TYPE_VIS lognormal_distribution 4366 { 4367 public: 4368 // types 4369 typedef _RealType result_type; 4370 4371 class _LIBCPP_TYPE_VIS param_type 4372 { 4373 normal_distribution<result_type> __nd_; 4374 public: 4375 typedef lognormal_distribution distribution_type; 4376 4377 _LIBCPP_INLINE_VISIBILITY 4378 explicit param_type(result_type __m = 0, result_type __s = 1) 4379 : __nd_(__m, __s) {} 4380 4381 _LIBCPP_INLINE_VISIBILITY 4382 result_type m() const {return __nd_.mean();} 4383 _LIBCPP_INLINE_VISIBILITY 4384 result_type s() const {return __nd_.stddev();} 4385 4386 friend _LIBCPP_INLINE_VISIBILITY 4387 bool operator==(const param_type& __x, const param_type& __y) 4388 {return __x.__nd_ == __y.__nd_;} 4389 friend _LIBCPP_INLINE_VISIBILITY 4390 bool operator!=(const param_type& __x, const param_type& __y) 4391 {return !(__x == __y);} 4392 friend class lognormal_distribution; 4393 4394 template <class _CharT, class _Traits, class _RT> 4395 friend 4396 basic_ostream<_CharT, _Traits>& 4397 operator<<(basic_ostream<_CharT, _Traits>& __os, 4398 const lognormal_distribution<_RT>& __x); 4399 4400 template <class _CharT, class _Traits, class _RT> 4401 friend 4402 basic_istream<_CharT, _Traits>& 4403 operator>>(basic_istream<_CharT, _Traits>& __is, 4404 lognormal_distribution<_RT>& __x); 4405 }; 4406 4407 private: 4408 param_type __p_; 4409 4410 public: 4411 // constructor and reset functions 4412 _LIBCPP_INLINE_VISIBILITY 4413 explicit lognormal_distribution(result_type __m = 0, result_type __s = 1) 4414 : __p_(param_type(__m, __s)) {} 4415 _LIBCPP_INLINE_VISIBILITY 4416 explicit lognormal_distribution(const param_type& __p) 4417 : __p_(__p) {} 4418 _LIBCPP_INLINE_VISIBILITY 4419 void reset() {__p_.__nd_.reset();} 4420 4421 // generating functions 4422 template<class _URNG> 4423 _LIBCPP_INLINE_VISIBILITY 4424 result_type operator()(_URNG& __g) 4425 {return (*this)(__g, __p_);} 4426 template<class _URNG> 4427 _LIBCPP_INLINE_VISIBILITY 4428 result_type operator()(_URNG& __g, const param_type& __p) 4429 {return _VSTD::exp(const_cast<normal_distribution<result_type>&>(__p.__nd_)(__g));} 4430 4431 // property functions 4432 _LIBCPP_INLINE_VISIBILITY 4433 result_type m() const {return __p_.m();} 4434 _LIBCPP_INLINE_VISIBILITY 4435 result_type s() const {return __p_.s();} 4436 4437 _LIBCPP_INLINE_VISIBILITY 4438 param_type param() const {return __p_;} 4439 _LIBCPP_INLINE_VISIBILITY 4440 void param(const param_type& __p) {__p_ = __p;} 4441 4442 _LIBCPP_INLINE_VISIBILITY 4443 result_type min() const {return 0;} 4444 _LIBCPP_INLINE_VISIBILITY 4445 result_type max() const {return numeric_limits<result_type>::infinity();} 4446 4447 friend _LIBCPP_INLINE_VISIBILITY 4448 bool operator==(const lognormal_distribution& __x, 4449 const lognormal_distribution& __y) 4450 {return __x.__p_ == __y.__p_;} 4451 friend _LIBCPP_INLINE_VISIBILITY 4452 bool operator!=(const lognormal_distribution& __x, 4453 const lognormal_distribution& __y) 4454 {return !(__x == __y);} 4455 4456 template <class _CharT, class _Traits, class _RT> 4457 friend 4458 basic_ostream<_CharT, _Traits>& 4459 operator<<(basic_ostream<_CharT, _Traits>& __os, 4460 const lognormal_distribution<_RT>& __x); 4461 4462 template <class _CharT, class _Traits, class _RT> 4463 friend 4464 basic_istream<_CharT, _Traits>& 4465 operator>>(basic_istream<_CharT, _Traits>& __is, 4466 lognormal_distribution<_RT>& __x); 4467 }; 4468 4469 template <class _CharT, class _Traits, class _RT> 4470 inline _LIBCPP_INLINE_VISIBILITY 4471 basic_ostream<_CharT, _Traits>& 4472 operator<<(basic_ostream<_CharT, _Traits>& __os, 4473 const lognormal_distribution<_RT>& __x) 4474 { 4475 return __os << __x.__p_.__nd_; 4476 } 4477 4478 template <class _CharT, class _Traits, class _RT> 4479 inline _LIBCPP_INLINE_VISIBILITY 4480 basic_istream<_CharT, _Traits>& 4481 operator>>(basic_istream<_CharT, _Traits>& __is, 4482 lognormal_distribution<_RT>& __x) 4483 { 4484 return __is >> __x.__p_.__nd_; 4485 } 4486 4487 // poisson_distribution 4488 4489 template<class _IntType = int> 4490 class _LIBCPP_TYPE_VIS poisson_distribution 4491 { 4492 public: 4493 // types 4494 typedef _IntType result_type; 4495 4496 class _LIBCPP_TYPE_VIS param_type 4497 { 4498 double __mean_; 4499 double __s_; 4500 double __d_; 4501 double __l_; 4502 double __omega_; 4503 double __c0_; 4504 double __c1_; 4505 double __c2_; 4506 double __c3_; 4507 double __c_; 4508 4509 public: 4510 typedef poisson_distribution distribution_type; 4511 4512 explicit param_type(double __mean = 1.0); 4513 4514 _LIBCPP_INLINE_VISIBILITY 4515 double mean() const {return __mean_;} 4516 4517 friend _LIBCPP_INLINE_VISIBILITY 4518 bool operator==(const param_type& __x, const param_type& __y) 4519 {return __x.__mean_ == __y.__mean_;} 4520 friend _LIBCPP_INLINE_VISIBILITY 4521 bool operator!=(const param_type& __x, const param_type& __y) 4522 {return !(__x == __y);} 4523 4524 friend class poisson_distribution; 4525 }; 4526 4527 private: 4528 param_type __p_; 4529 4530 public: 4531 // constructors and reset functions 4532 _LIBCPP_INLINE_VISIBILITY 4533 explicit poisson_distribution(double __mean = 1.0) : __p_(__mean) {} 4534 _LIBCPP_INLINE_VISIBILITY 4535 explicit poisson_distribution(const param_type& __p) : __p_(__p) {} 4536 _LIBCPP_INLINE_VISIBILITY 4537 void reset() {} 4538 4539 // generating functions 4540 template<class _URNG> 4541 _LIBCPP_INLINE_VISIBILITY 4542 result_type operator()(_URNG& __g) 4543 {return (*this)(__g, __p_);} 4544 template<class _URNG> result_type operator()(_URNG& __g, const param_type& __p); 4545 4546 // property functions 4547 _LIBCPP_INLINE_VISIBILITY 4548 double mean() const {return __p_.mean();} 4549 4550 _LIBCPP_INLINE_VISIBILITY 4551 param_type param() const {return __p_;} 4552 _LIBCPP_INLINE_VISIBILITY 4553 void param(const param_type& __p) {__p_ = __p;} 4554 4555 _LIBCPP_INLINE_VISIBILITY 4556 result_type min() const {return 0;} 4557 _LIBCPP_INLINE_VISIBILITY 4558 result_type max() const {return numeric_limits<result_type>::max();} 4559 4560 friend _LIBCPP_INLINE_VISIBILITY 4561 bool operator==(const poisson_distribution& __x, 4562 const poisson_distribution& __y) 4563 {return __x.__p_ == __y.__p_;} 4564 friend _LIBCPP_INLINE_VISIBILITY 4565 bool operator!=(const poisson_distribution& __x, 4566 const poisson_distribution& __y) 4567 {return !(__x == __y);} 4568 }; 4569 4570 template<class _IntType> 4571 poisson_distribution<_IntType>::param_type::param_type(double __mean) 4572 : __mean_(__mean) 4573 { 4574 if (__mean_ < 10) 4575 { 4576 __s_ = 0; 4577 __d_ = 0; 4578 __l_ = _VSTD::exp(-__mean_); 4579 __omega_ = 0; 4580 __c3_ = 0; 4581 __c2_ = 0; 4582 __c1_ = 0; 4583 __c0_ = 0; 4584 __c_ = 0; 4585 } 4586 else 4587 { 4588 __s_ = _VSTD::sqrt(__mean_); 4589 __d_ = 6 * __mean_ * __mean_; 4590 __l_ = static_cast<result_type>(__mean_ - 1.1484); 4591 __omega_ = .3989423 / __s_; 4592 double __b1_ = .4166667E-1 / __mean_; 4593 double __b2_ = .3 * __b1_ * __b1_; 4594 __c3_ = .1428571 * __b1_ * __b2_; 4595 __c2_ = __b2_ - 15. * __c3_; 4596 __c1_ = __b1_ - 6. * __b2_ + 45. * __c3_; 4597 __c0_ = 1. - __b1_ + 3. * __b2_ - 15. * __c3_; 4598 __c_ = .1069 / __mean_; 4599 } 4600 } 4601 4602 template <class _IntType> 4603 template<class _URNG> 4604 _IntType 4605 poisson_distribution<_IntType>::operator()(_URNG& __urng, const param_type& __pr) 4606 { 4607 result_type __x; 4608 uniform_real_distribution<double> __urd; 4609 if (__pr.__mean_ < 10) 4610 { 4611 __x = 0; 4612 for (double __p = __urd(__urng); __p > __pr.__l_; ++__x) 4613 __p *= __urd(__urng); 4614 } 4615 else 4616 { 4617 double __difmuk; 4618 double __g = __pr.__mean_ + __pr.__s_ * normal_distribution<double>()(__urng); 4619 double __u; 4620 if (__g > 0) 4621 { 4622 __x = static_cast<result_type>(__g); 4623 if (__x >= __pr.__l_) 4624 return __x; 4625 __difmuk = __pr.__mean_ - __x; 4626 __u = __urd(__urng); 4627 if (__pr.__d_ * __u >= __difmuk * __difmuk * __difmuk) 4628 return __x; 4629 } 4630 exponential_distribution<double> __edist; 4631 for (bool __using_exp_dist = false; true; __using_exp_dist = true) 4632 { 4633 double __e; 4634 if (__using_exp_dist || __g < 0) 4635 { 4636 double __t; 4637 do 4638 { 4639 __e = __edist(__urng); 4640 __u = __urd(__urng); 4641 __u += __u - 1; 4642 __t = 1.8 + (__u < 0 ? -__e : __e); 4643 } while (__t <= -.6744); 4644 __x = __pr.__mean_ + __pr.__s_ * __t; 4645 __difmuk = __pr.__mean_ - __x; 4646 __using_exp_dist = true; 4647 } 4648 double __px; 4649 double __py; 4650 if (__x < 10) 4651 { 4652 const result_type __fac[] = {1, 1, 2, 6, 24, 120, 720, 5040, 4653 40320, 362880}; 4654 __px = -__pr.__mean_; 4655 __py = _VSTD::pow(__pr.__mean_, (double)__x) / __fac[__x]; 4656 } 4657 else 4658 { 4659 double __del = .8333333E-1 / __x; 4660 __del -= 4.8 * __del * __del * __del; 4661 double __v = __difmuk / __x; 4662 if (_VSTD::abs(__v) > 0.25) 4663 __px = __x * _VSTD::log(1 + __v) - __difmuk - __del; 4664 else 4665 __px = __x * __v * __v * (((((((.1250060 * __v + -.1384794) * 4666 __v + .1421878) * __v + -.1661269) * __v + .2000118) * 4667 __v + -.2500068) * __v + .3333333) * __v + -.5) - __del; 4668 __py = .3989423 / _VSTD::sqrt(__x); 4669 } 4670 double __r = (0.5 - __difmuk) / __pr.__s_; 4671 double __r2 = __r * __r; 4672 double __fx = -0.5 * __r2; 4673 double __fy = __pr.__omega_ * (((__pr.__c3_ * __r2 + __pr.__c2_) * 4674 __r2 + __pr.__c1_) * __r2 + __pr.__c0_); 4675 if (__using_exp_dist) 4676 { 4677 if (__pr.__c_ * _VSTD::abs(__u) <= __py * _VSTD::exp(__px + __e) - 4678 __fy * _VSTD::exp(__fx + __e)) 4679 break; 4680 } 4681 else 4682 { 4683 if (__fy - __u * __fy <= __py * _VSTD::exp(__px - __fx)) 4684 break; 4685 } 4686 } 4687 } 4688 return __x; 4689 } 4690 4691 template <class _CharT, class _Traits, class _IntType> 4692 basic_ostream<_CharT, _Traits>& 4693 operator<<(basic_ostream<_CharT, _Traits>& __os, 4694 const poisson_distribution<_IntType>& __x) 4695 { 4696 __save_flags<_CharT, _Traits> __lx(__os); 4697 __os.flags(ios_base::dec | ios_base::left | ios_base::fixed | 4698 ios_base::scientific); 4699 return __os << __x.mean(); 4700 } 4701 4702 template <class _CharT, class _Traits, class _IntType> 4703 basic_istream<_CharT, _Traits>& 4704 operator>>(basic_istream<_CharT, _Traits>& __is, 4705 poisson_distribution<_IntType>& __x) 4706 { 4707 typedef poisson_distribution<_IntType> _Eng; 4708 typedef typename _Eng::param_type param_type; 4709 __save_flags<_CharT, _Traits> __lx(__is); 4710 __is.flags(ios_base::dec | ios_base::skipws); 4711 double __mean; 4712 __is >> __mean; 4713 if (!__is.fail()) 4714 __x.param(param_type(__mean)); 4715 return __is; 4716 } 4717 4718 // weibull_distribution 4719 4720 template<class _RealType = double> 4721 class _LIBCPP_TYPE_VIS weibull_distribution 4722 { 4723 public: 4724 // types 4725 typedef _RealType result_type; 4726 4727 class _LIBCPP_TYPE_VIS param_type 4728 { 4729 result_type __a_; 4730 result_type __b_; 4731 public: 4732 typedef weibull_distribution distribution_type; 4733 4734 _LIBCPP_INLINE_VISIBILITY 4735 explicit param_type(result_type __a = 1, result_type __b = 1) 4736 : __a_(__a), __b_(__b) {} 4737 4738 _LIBCPP_INLINE_VISIBILITY 4739 result_type a() const {return __a_;} 4740 _LIBCPP_INLINE_VISIBILITY 4741 result_type b() const {return __b_;} 4742 4743 friend _LIBCPP_INLINE_VISIBILITY 4744 bool operator==(const param_type& __x, const param_type& __y) 4745 {return __x.__a_ == __y.__a_ && __x.__b_ == __y.__b_;} 4746 friend _LIBCPP_INLINE_VISIBILITY 4747 bool operator!=(const param_type& __x, const param_type& __y) 4748 {return !(__x == __y);} 4749 }; 4750 4751 private: 4752 param_type __p_; 4753 4754 public: 4755 // constructor and reset functions 4756 _LIBCPP_INLINE_VISIBILITY 4757 explicit weibull_distribution(result_type __a = 1, result_type __b = 1) 4758 : __p_(param_type(__a, __b)) {} 4759 _LIBCPP_INLINE_VISIBILITY 4760 explicit weibull_distribution(const param_type& __p) 4761 : __p_(__p) {} 4762 _LIBCPP_INLINE_VISIBILITY 4763 void reset() {} 4764 4765 // generating functions 4766 template<class _URNG> 4767 _LIBCPP_INLINE_VISIBILITY 4768 result_type operator()(_URNG& __g) 4769 {return (*this)(__g, __p_);} 4770 template<class _URNG> 4771 _LIBCPP_INLINE_VISIBILITY 4772 result_type operator()(_URNG& __g, const param_type& __p) 4773 {return __p.b() * 4774 _VSTD::pow(exponential_distribution<result_type>()(__g), 1/__p.a());} 4775 4776 // property functions 4777 _LIBCPP_INLINE_VISIBILITY 4778 result_type a() const {return __p_.a();} 4779 _LIBCPP_INLINE_VISIBILITY 4780 result_type b() const {return __p_.b();} 4781 4782 _LIBCPP_INLINE_VISIBILITY 4783 param_type param() const {return __p_;} 4784 _LIBCPP_INLINE_VISIBILITY 4785 void param(const param_type& __p) {__p_ = __p;} 4786 4787 _LIBCPP_INLINE_VISIBILITY 4788 result_type min() const {return 0;} 4789 _LIBCPP_INLINE_VISIBILITY 4790 result_type max() const {return numeric_limits<result_type>::infinity();} 4791 4792 friend _LIBCPP_INLINE_VISIBILITY 4793 bool operator==(const weibull_distribution& __x, 4794 const weibull_distribution& __y) 4795 {return __x.__p_ == __y.__p_;} 4796 friend _LIBCPP_INLINE_VISIBILITY 4797 bool operator!=(const weibull_distribution& __x, 4798 const weibull_distribution& __y) 4799 {return !(__x == __y);} 4800 }; 4801 4802 template <class _CharT, class _Traits, class _RT> 4803 basic_ostream<_CharT, _Traits>& 4804 operator<<(basic_ostream<_CharT, _Traits>& __os, 4805 const weibull_distribution<_RT>& __x) 4806 { 4807 __save_flags<_CharT, _Traits> __lx(__os); 4808 __os.flags(ios_base::dec | ios_base::left | ios_base::fixed | 4809 ios_base::scientific); 4810 _CharT __sp = __os.widen(' '); 4811 __os.fill(__sp); 4812 __os << __x.a() << __sp << __x.b(); 4813 return __os; 4814 } 4815 4816 template <class _CharT, class _Traits, class _RT> 4817 basic_istream<_CharT, _Traits>& 4818 operator>>(basic_istream<_CharT, _Traits>& __is, 4819 weibull_distribution<_RT>& __x) 4820 { 4821 typedef weibull_distribution<_RT> _Eng; 4822 typedef typename _Eng::result_type result_type; 4823 typedef typename _Eng::param_type param_type; 4824 __save_flags<_CharT, _Traits> __lx(__is); 4825 __is.flags(ios_base::dec | ios_base::skipws); 4826 result_type __a; 4827 result_type __b; 4828 __is >> __a >> __b; 4829 if (!__is.fail()) 4830 __x.param(param_type(__a, __b)); 4831 return __is; 4832 } 4833 4834 template<class _RealType = double> 4835 class _LIBCPP_TYPE_VIS extreme_value_distribution 4836 { 4837 public: 4838 // types 4839 typedef _RealType result_type; 4840 4841 class _LIBCPP_TYPE_VIS param_type 4842 { 4843 result_type __a_; 4844 result_type __b_; 4845 public: 4846 typedef extreme_value_distribution distribution_type; 4847 4848 _LIBCPP_INLINE_VISIBILITY 4849 explicit param_type(result_type __a = 0, result_type __b = 1) 4850 : __a_(__a), __b_(__b) {} 4851 4852 _LIBCPP_INLINE_VISIBILITY 4853 result_type a() const {return __a_;} 4854 _LIBCPP_INLINE_VISIBILITY 4855 result_type b() const {return __b_;} 4856 4857 friend _LIBCPP_INLINE_VISIBILITY 4858 bool operator==(const param_type& __x, const param_type& __y) 4859 {return __x.__a_ == __y.__a_ && __x.__b_ == __y.__b_;} 4860 friend _LIBCPP_INLINE_VISIBILITY 4861 bool operator!=(const param_type& __x, const param_type& __y) 4862 {return !(__x == __y);} 4863 }; 4864 4865 private: 4866 param_type __p_; 4867 4868 public: 4869 // constructor and reset functions 4870 _LIBCPP_INLINE_VISIBILITY 4871 explicit extreme_value_distribution(result_type __a = 0, result_type __b = 1) 4872 : __p_(param_type(__a, __b)) {} 4873 _LIBCPP_INLINE_VISIBILITY 4874 explicit extreme_value_distribution(const param_type& __p) 4875 : __p_(__p) {} 4876 _LIBCPP_INLINE_VISIBILITY 4877 void reset() {} 4878 4879 // generating functions 4880 template<class _URNG> 4881 _LIBCPP_INLINE_VISIBILITY 4882 result_type operator()(_URNG& __g) 4883 {return (*this)(__g, __p_);} 4884 template<class _URNG> result_type operator()(_URNG& __g, const param_type& __p); 4885 4886 // property functions 4887 _LIBCPP_INLINE_VISIBILITY 4888 result_type a() const {return __p_.a();} 4889 _LIBCPP_INLINE_VISIBILITY 4890 result_type b() const {return __p_.b();} 4891 4892 _LIBCPP_INLINE_VISIBILITY 4893 param_type param() const {return __p_;} 4894 _LIBCPP_INLINE_VISIBILITY 4895 void param(const param_type& __p) {__p_ = __p;} 4896 4897 _LIBCPP_INLINE_VISIBILITY 4898 result_type min() const {return -numeric_limits<result_type>::infinity();} 4899 _LIBCPP_INLINE_VISIBILITY 4900 result_type max() const {return numeric_limits<result_type>::infinity();} 4901 4902 friend _LIBCPP_INLINE_VISIBILITY 4903 bool operator==(const extreme_value_distribution& __x, 4904 const extreme_value_distribution& __y) 4905 {return __x.__p_ == __y.__p_;} 4906 friend _LIBCPP_INLINE_VISIBILITY 4907 bool operator!=(const extreme_value_distribution& __x, 4908 const extreme_value_distribution& __y) 4909 {return !(__x == __y);} 4910 }; 4911 4912 template<class _RealType> 4913 template<class _URNG> 4914 _RealType 4915 extreme_value_distribution<_RealType>::operator()(_URNG& __g, const param_type& __p) 4916 { 4917 return __p.a() - __p.b() * 4918 _VSTD::log(-_VSTD::log(1-uniform_real_distribution<result_type>()(__g))); 4919 } 4920 4921 template <class _CharT, class _Traits, class _RT> 4922 basic_ostream<_CharT, _Traits>& 4923 operator<<(basic_ostream<_CharT, _Traits>& __os, 4924 const extreme_value_distribution<_RT>& __x) 4925 { 4926 __save_flags<_CharT, _Traits> __lx(__os); 4927 __os.flags(ios_base::dec | ios_base::left | ios_base::fixed | 4928 ios_base::scientific); 4929 _CharT __sp = __os.widen(' '); 4930 __os.fill(__sp); 4931 __os << __x.a() << __sp << __x.b(); 4932 return __os; 4933 } 4934 4935 template <class _CharT, class _Traits, class _RT> 4936 basic_istream<_CharT, _Traits>& 4937 operator>>(basic_istream<_CharT, _Traits>& __is, 4938 extreme_value_distribution<_RT>& __x) 4939 { 4940 typedef extreme_value_distribution<_RT> _Eng; 4941 typedef typename _Eng::result_type result_type; 4942 typedef typename _Eng::param_type param_type; 4943 __save_flags<_CharT, _Traits> __lx(__is); 4944 __is.flags(ios_base::dec | ios_base::skipws); 4945 result_type __a; 4946 result_type __b; 4947 __is >> __a >> __b; 4948 if (!__is.fail()) 4949 __x.param(param_type(__a, __b)); 4950 return __is; 4951 } 4952 4953 // gamma_distribution 4954 4955 template<class _RealType = double> 4956 class _LIBCPP_TYPE_VIS gamma_distribution 4957 { 4958 public: 4959 // types 4960 typedef _RealType result_type; 4961 4962 class _LIBCPP_TYPE_VIS param_type 4963 { 4964 result_type __alpha_; 4965 result_type __beta_; 4966 public: 4967 typedef gamma_distribution distribution_type; 4968 4969 _LIBCPP_INLINE_VISIBILITY 4970 explicit param_type(result_type __alpha = 1, result_type __beta = 1) 4971 : __alpha_(__alpha), __beta_(__beta) {} 4972 4973 _LIBCPP_INLINE_VISIBILITY 4974 result_type alpha() const {return __alpha_;} 4975 _LIBCPP_INLINE_VISIBILITY 4976 result_type beta() const {return __beta_;} 4977 4978 friend _LIBCPP_INLINE_VISIBILITY 4979 bool operator==(const param_type& __x, const param_type& __y) 4980 {return __x.__alpha_ == __y.__alpha_ && __x.__beta_ == __y.__beta_;} 4981 friend _LIBCPP_INLINE_VISIBILITY 4982 bool operator!=(const param_type& __x, const param_type& __y) 4983 {return !(__x == __y);} 4984 }; 4985 4986 private: 4987 param_type __p_; 4988 4989 public: 4990 // constructors and reset functions 4991 _LIBCPP_INLINE_VISIBILITY 4992 explicit gamma_distribution(result_type __alpha = 1, result_type __beta = 1) 4993 : __p_(param_type(__alpha, __beta)) {} 4994 _LIBCPP_INLINE_VISIBILITY 4995 explicit gamma_distribution(const param_type& __p) 4996 : __p_(__p) {} 4997 _LIBCPP_INLINE_VISIBILITY 4998 void reset() {} 4999 5000 // generating functions 5001 template<class _URNG> 5002 _LIBCPP_INLINE_VISIBILITY 5003 result_type operator()(_URNG& __g) 5004 {return (*this)(__g, __p_);} 5005 template<class _URNG> result_type operator()(_URNG& __g, const param_type& __p); 5006 5007 // property functions 5008 _LIBCPP_INLINE_VISIBILITY 5009 result_type alpha() const {return __p_.alpha();} 5010 _LIBCPP_INLINE_VISIBILITY 5011 result_type beta() const {return __p_.beta();} 5012 5013 _LIBCPP_INLINE_VISIBILITY 5014 param_type param() const {return __p_;} 5015 _LIBCPP_INLINE_VISIBILITY 5016 void param(const param_type& __p) {__p_ = __p;} 5017 5018 _LIBCPP_INLINE_VISIBILITY 5019 result_type min() const {return 0;} 5020 _LIBCPP_INLINE_VISIBILITY 5021 result_type max() const {return numeric_limits<result_type>::infinity();} 5022 5023 friend _LIBCPP_INLINE_VISIBILITY 5024 bool operator==(const gamma_distribution& __x, 5025 const gamma_distribution& __y) 5026 {return __x.__p_ == __y.__p_;} 5027 friend _LIBCPP_INLINE_VISIBILITY 5028 bool operator!=(const gamma_distribution& __x, 5029 const gamma_distribution& __y) 5030 {return !(__x == __y);} 5031 }; 5032 5033 template <class _RealType> 5034 template<class _URNG> 5035 _RealType 5036 gamma_distribution<_RealType>::operator()(_URNG& __g, const param_type& __p) 5037 { 5038 result_type __a = __p.alpha(); 5039 uniform_real_distribution<result_type> __gen(0, 1); 5040 exponential_distribution<result_type> __egen; 5041 result_type __x; 5042 if (__a == 1) 5043 __x = __egen(__g); 5044 else if (__a > 1) 5045 { 5046 const result_type __b = __a - 1; 5047 const result_type __c = 3 * __a - result_type(0.75); 5048 while (true) 5049 { 5050 const result_type __u = __gen(__g); 5051 const result_type __v = __gen(__g); 5052 const result_type __w = __u * (1 - __u); 5053 if (__w != 0) 5054 { 5055 const result_type __y = _VSTD::sqrt(__c / __w) * 5056 (__u - result_type(0.5)); 5057 __x = __b + __y; 5058 if (__x >= 0) 5059 { 5060 const result_type __z = 64 * __w * __w * __w * __v * __v; 5061 if (__z <= 1 - 2 * __y * __y / __x) 5062 break; 5063 if (_VSTD::log(__z) <= 2 * (__b * _VSTD::log(__x / __b) - __y)) 5064 break; 5065 } 5066 } 5067 } 5068 } 5069 else // __a < 1 5070 { 5071 while (true) 5072 { 5073 const result_type __u = __gen(__g); 5074 const result_type __es = __egen(__g); 5075 if (__u <= 1 - __a) 5076 { 5077 __x = _VSTD::pow(__u, 1 / __a); 5078 if (__x <= __es) 5079 break; 5080 } 5081 else 5082 { 5083 const result_type __e = -_VSTD::log((1-__u)/__a); 5084 __x = _VSTD::pow(1 - __a + __a * __e, 1 / __a); 5085 if (__x <= __e + __es) 5086 break; 5087 } 5088 } 5089 } 5090 return __x * __p.beta(); 5091 } 5092 5093 template <class _CharT, class _Traits, class _RT> 5094 basic_ostream<_CharT, _Traits>& 5095 operator<<(basic_ostream<_CharT, _Traits>& __os, 5096 const gamma_distribution<_RT>& __x) 5097 { 5098 __save_flags<_CharT, _Traits> __lx(__os); 5099 __os.flags(ios_base::dec | ios_base::left | ios_base::fixed | 5100 ios_base::scientific); 5101 _CharT __sp = __os.widen(' '); 5102 __os.fill(__sp); 5103 __os << __x.alpha() << __sp << __x.beta(); 5104 return __os; 5105 } 5106 5107 template <class _CharT, class _Traits, class _RT> 5108 basic_istream<_CharT, _Traits>& 5109 operator>>(basic_istream<_CharT, _Traits>& __is, 5110 gamma_distribution<_RT>& __x) 5111 { 5112 typedef gamma_distribution<_RT> _Eng; 5113 typedef typename _Eng::result_type result_type; 5114 typedef typename _Eng::param_type param_type; 5115 __save_flags<_CharT, _Traits> __lx(__is); 5116 __is.flags(ios_base::dec | ios_base::skipws); 5117 result_type __alpha; 5118 result_type __beta; 5119 __is >> __alpha >> __beta; 5120 if (!__is.fail()) 5121 __x.param(param_type(__alpha, __beta)); 5122 return __is; 5123 } 5124 5125 // negative_binomial_distribution 5126 5127 template<class _IntType = int> 5128 class _LIBCPP_TYPE_VIS negative_binomial_distribution 5129 { 5130 public: 5131 // types 5132 typedef _IntType result_type; 5133 5134 class _LIBCPP_TYPE_VIS param_type 5135 { 5136 result_type __k_; 5137 double __p_; 5138 public: 5139 typedef negative_binomial_distribution distribution_type; 5140 5141 _LIBCPP_INLINE_VISIBILITY 5142 explicit param_type(result_type __k = 1, double __p = 0.5) 5143 : __k_(__k), __p_(__p) {} 5144 5145 _LIBCPP_INLINE_VISIBILITY 5146 result_type k() const {return __k_;} 5147 _LIBCPP_INLINE_VISIBILITY 5148 double p() const {return __p_;} 5149 5150 friend _LIBCPP_INLINE_VISIBILITY 5151 bool operator==(const param_type& __x, const param_type& __y) 5152 {return __x.__k_ == __y.__k_ && __x.__p_ == __y.__p_;} 5153 friend _LIBCPP_INLINE_VISIBILITY 5154 bool operator!=(const param_type& __x, const param_type& __y) 5155 {return !(__x == __y);} 5156 }; 5157 5158 private: 5159 param_type __p_; 5160 5161 public: 5162 // constructor and reset functions 5163 _LIBCPP_INLINE_VISIBILITY 5164 explicit negative_binomial_distribution(result_type __k = 1, double __p = 0.5) 5165 : __p_(__k, __p) {} 5166 _LIBCPP_INLINE_VISIBILITY 5167 explicit negative_binomial_distribution(const param_type& __p) : __p_(__p) {} 5168 _LIBCPP_INLINE_VISIBILITY 5169 void reset() {} 5170 5171 // generating functions 5172 template<class _URNG> 5173 _LIBCPP_INLINE_VISIBILITY 5174 result_type operator()(_URNG& __g) 5175 {return (*this)(__g, __p_);} 5176 template<class _URNG> result_type operator()(_URNG& __g, const param_type& __p); 5177 5178 // property functions 5179 _LIBCPP_INLINE_VISIBILITY 5180 result_type k() const {return __p_.k();} 5181 _LIBCPP_INLINE_VISIBILITY 5182 double p() const {return __p_.p();} 5183 5184 _LIBCPP_INLINE_VISIBILITY 5185 param_type param() const {return __p_;} 5186 _LIBCPP_INLINE_VISIBILITY 5187 void param(const param_type& __p) {__p_ = __p;} 5188 5189 _LIBCPP_INLINE_VISIBILITY 5190 result_type min() const {return 0;} 5191 _LIBCPP_INLINE_VISIBILITY 5192 result_type max() const {return numeric_limits<result_type>::max();} 5193 5194 friend _LIBCPP_INLINE_VISIBILITY 5195 bool operator==(const negative_binomial_distribution& __x, 5196 const negative_binomial_distribution& __y) 5197 {return __x.__p_ == __y.__p_;} 5198 friend _LIBCPP_INLINE_VISIBILITY 5199 bool operator!=(const negative_binomial_distribution& __x, 5200 const negative_binomial_distribution& __y) 5201 {return !(__x == __y);} 5202 }; 5203 5204 template <class _IntType> 5205 template<class _URNG> 5206 _IntType 5207 negative_binomial_distribution<_IntType>::operator()(_URNG& __urng, const param_type& __pr) 5208 { 5209 result_type __k = __pr.k(); 5210 double __p = __pr.p(); 5211 if (__k <= 21 * __p) 5212 { 5213 bernoulli_distribution __gen(__p); 5214 result_type __f = 0; 5215 result_type __s = 0; 5216 while (__s < __k) 5217 { 5218 if (__gen(__urng)) 5219 ++__s; 5220 else 5221 ++__f; 5222 } 5223 return __f; 5224 } 5225 return poisson_distribution<result_type>(gamma_distribution<double> 5226 (__k, (1-__p)/__p)(__urng))(__urng); 5227 } 5228 5229 template <class _CharT, class _Traits, class _IntType> 5230 basic_ostream<_CharT, _Traits>& 5231 operator<<(basic_ostream<_CharT, _Traits>& __os, 5232 const negative_binomial_distribution<_IntType>& __x) 5233 { 5234 __save_flags<_CharT, _Traits> __lx(__os); 5235 __os.flags(ios_base::dec | ios_base::left | ios_base::fixed | 5236 ios_base::scientific); 5237 _CharT __sp = __os.widen(' '); 5238 __os.fill(__sp); 5239 return __os << __x.k() << __sp << __x.p(); 5240 } 5241 5242 template <class _CharT, class _Traits, class _IntType> 5243 basic_istream<_CharT, _Traits>& 5244 operator>>(basic_istream<_CharT, _Traits>& __is, 5245 negative_binomial_distribution<_IntType>& __x) 5246 { 5247 typedef negative_binomial_distribution<_IntType> _Eng; 5248 typedef typename _Eng::result_type result_type; 5249 typedef typename _Eng::param_type param_type; 5250 __save_flags<_CharT, _Traits> __lx(__is); 5251 __is.flags(ios_base::dec | ios_base::skipws); 5252 result_type __k; 5253 double __p; 5254 __is >> __k >> __p; 5255 if (!__is.fail()) 5256 __x.param(param_type(__k, __p)); 5257 return __is; 5258 } 5259 5260 // geometric_distribution 5261 5262 template<class _IntType = int> 5263 class _LIBCPP_TYPE_VIS geometric_distribution 5264 { 5265 public: 5266 // types 5267 typedef _IntType result_type; 5268 5269 class _LIBCPP_TYPE_VIS param_type 5270 { 5271 double __p_; 5272 public: 5273 typedef geometric_distribution distribution_type; 5274 5275 _LIBCPP_INLINE_VISIBILITY 5276 explicit param_type(double __p = 0.5) : __p_(__p) {} 5277 5278 _LIBCPP_INLINE_VISIBILITY 5279 double p() const {return __p_;} 5280 5281 friend _LIBCPP_INLINE_VISIBILITY 5282 bool operator==(const param_type& __x, const param_type& __y) 5283 {return __x.__p_ == __y.__p_;} 5284 friend _LIBCPP_INLINE_VISIBILITY 5285 bool operator!=(const param_type& __x, const param_type& __y) 5286 {return !(__x == __y);} 5287 }; 5288 5289 private: 5290 param_type __p_; 5291 5292 public: 5293 // constructors and reset functions 5294 _LIBCPP_INLINE_VISIBILITY 5295 explicit geometric_distribution(double __p = 0.5) : __p_(__p) {} 5296 _LIBCPP_INLINE_VISIBILITY 5297 explicit geometric_distribution(const param_type& __p) : __p_(__p) {} 5298 _LIBCPP_INLINE_VISIBILITY 5299 void reset() {} 5300 5301 // generating functions 5302 template<class _URNG> 5303 _LIBCPP_INLINE_VISIBILITY 5304 result_type operator()(_URNG& __g) 5305 {return (*this)(__g, __p_);} 5306 template<class _URNG> 5307 _LIBCPP_INLINE_VISIBILITY 5308 result_type operator()(_URNG& __g, const param_type& __p) 5309 {return negative_binomial_distribution<result_type>(1, __p.p())(__g);} 5310 5311 // property functions 5312 _LIBCPP_INLINE_VISIBILITY 5313 double p() const {return __p_.p();} 5314 5315 _LIBCPP_INLINE_VISIBILITY 5316 param_type param() const {return __p_;} 5317 _LIBCPP_INLINE_VISIBILITY 5318 void param(const param_type& __p) {__p_ = __p;} 5319 5320 _LIBCPP_INLINE_VISIBILITY 5321 result_type min() const {return 0;} 5322 _LIBCPP_INLINE_VISIBILITY 5323 result_type max() const {return numeric_limits<result_type>::max();} 5324 5325 friend _LIBCPP_INLINE_VISIBILITY 5326 bool operator==(const geometric_distribution& __x, 5327 const geometric_distribution& __y) 5328 {return __x.__p_ == __y.__p_;} 5329 friend _LIBCPP_INLINE_VISIBILITY 5330 bool operator!=(const geometric_distribution& __x, 5331 const geometric_distribution& __y) 5332 {return !(__x == __y);} 5333 }; 5334 5335 template <class _CharT, class _Traits, class _IntType> 5336 basic_ostream<_CharT, _Traits>& 5337 operator<<(basic_ostream<_CharT, _Traits>& __os, 5338 const geometric_distribution<_IntType>& __x) 5339 { 5340 __save_flags<_CharT, _Traits> __lx(__os); 5341 __os.flags(ios_base::dec | ios_base::left | ios_base::fixed | 5342 ios_base::scientific); 5343 return __os << __x.p(); 5344 } 5345 5346 template <class _CharT, class _Traits, class _IntType> 5347 basic_istream<_CharT, _Traits>& 5348 operator>>(basic_istream<_CharT, _Traits>& __is, 5349 geometric_distribution<_IntType>& __x) 5350 { 5351 typedef geometric_distribution<_IntType> _Eng; 5352 typedef typename _Eng::param_type param_type; 5353 __save_flags<_CharT, _Traits> __lx(__is); 5354 __is.flags(ios_base::dec | ios_base::skipws); 5355 double __p; 5356 __is >> __p; 5357 if (!__is.fail()) 5358 __x.param(param_type(__p)); 5359 return __is; 5360 } 5361 5362 // chi_squared_distribution 5363 5364 template<class _RealType = double> 5365 class _LIBCPP_TYPE_VIS chi_squared_distribution 5366 { 5367 public: 5368 // types 5369 typedef _RealType result_type; 5370 5371 class _LIBCPP_TYPE_VIS param_type 5372 { 5373 result_type __n_; 5374 public: 5375 typedef chi_squared_distribution distribution_type; 5376 5377 _LIBCPP_INLINE_VISIBILITY 5378 explicit param_type(result_type __n = 1) : __n_(__n) {} 5379 5380 _LIBCPP_INLINE_VISIBILITY 5381 result_type n() const {return __n_;} 5382 5383 friend _LIBCPP_INLINE_VISIBILITY 5384 bool operator==(const param_type& __x, const param_type& __y) 5385 {return __x.__n_ == __y.__n_;} 5386 friend _LIBCPP_INLINE_VISIBILITY 5387 bool operator!=(const param_type& __x, const param_type& __y) 5388 {return !(__x == __y);} 5389 }; 5390 5391 private: 5392 param_type __p_; 5393 5394 public: 5395 // constructor and reset functions 5396 _LIBCPP_INLINE_VISIBILITY 5397 explicit chi_squared_distribution(result_type __n = 1) 5398 : __p_(param_type(__n)) {} 5399 _LIBCPP_INLINE_VISIBILITY 5400 explicit chi_squared_distribution(const param_type& __p) 5401 : __p_(__p) {} 5402 _LIBCPP_INLINE_VISIBILITY 5403 void reset() {} 5404 5405 // generating functions 5406 template<class _URNG> 5407 _LIBCPP_INLINE_VISIBILITY 5408 result_type operator()(_URNG& __g) 5409 {return (*this)(__g, __p_);} 5410 template<class _URNG> 5411 _LIBCPP_INLINE_VISIBILITY 5412 result_type operator()(_URNG& __g, const param_type& __p) 5413 {return gamma_distribution<result_type>(__p.n() / 2, 2)(__g);} 5414 5415 // property functions 5416 _LIBCPP_INLINE_VISIBILITY 5417 result_type n() const {return __p_.n();} 5418 5419 _LIBCPP_INLINE_VISIBILITY 5420 param_type param() const {return __p_;} 5421 _LIBCPP_INLINE_VISIBILITY 5422 void param(const param_type& __p) {__p_ = __p;} 5423 5424 _LIBCPP_INLINE_VISIBILITY 5425 result_type min() const {return 0;} 5426 _LIBCPP_INLINE_VISIBILITY 5427 result_type max() const {return numeric_limits<result_type>::infinity();} 5428 5429 friend _LIBCPP_INLINE_VISIBILITY 5430 bool operator==(const chi_squared_distribution& __x, 5431 const chi_squared_distribution& __y) 5432 {return __x.__p_ == __y.__p_;} 5433 friend _LIBCPP_INLINE_VISIBILITY 5434 bool operator!=(const chi_squared_distribution& __x, 5435 const chi_squared_distribution& __y) 5436 {return !(__x == __y);} 5437 }; 5438 5439 template <class _CharT, class _Traits, class _RT> 5440 basic_ostream<_CharT, _Traits>& 5441 operator<<(basic_ostream<_CharT, _Traits>& __os, 5442 const chi_squared_distribution<_RT>& __x) 5443 { 5444 __save_flags<_CharT, _Traits> __lx(__os); 5445 __os.flags(ios_base::dec | ios_base::left | ios_base::fixed | 5446 ios_base::scientific); 5447 __os << __x.n(); 5448 return __os; 5449 } 5450 5451 template <class _CharT, class _Traits, class _RT> 5452 basic_istream<_CharT, _Traits>& 5453 operator>>(basic_istream<_CharT, _Traits>& __is, 5454 chi_squared_distribution<_RT>& __x) 5455 { 5456 typedef chi_squared_distribution<_RT> _Eng; 5457 typedef typename _Eng::result_type result_type; 5458 typedef typename _Eng::param_type param_type; 5459 __save_flags<_CharT, _Traits> __lx(__is); 5460 __is.flags(ios_base::dec | ios_base::skipws); 5461 result_type __n; 5462 __is >> __n; 5463 if (!__is.fail()) 5464 __x.param(param_type(__n)); 5465 return __is; 5466 } 5467 5468 // cauchy_distribution 5469 5470 template<class _RealType = double> 5471 class _LIBCPP_TYPE_VIS cauchy_distribution 5472 { 5473 public: 5474 // types 5475 typedef _RealType result_type; 5476 5477 class _LIBCPP_TYPE_VIS param_type 5478 { 5479 result_type __a_; 5480 result_type __b_; 5481 public: 5482 typedef cauchy_distribution distribution_type; 5483 5484 _LIBCPP_INLINE_VISIBILITY 5485 explicit param_type(result_type __a = 0, result_type __b = 1) 5486 : __a_(__a), __b_(__b) {} 5487 5488 _LIBCPP_INLINE_VISIBILITY 5489 result_type a() const {return __a_;} 5490 _LIBCPP_INLINE_VISIBILITY 5491 result_type b() const {return __b_;} 5492 5493 friend _LIBCPP_INLINE_VISIBILITY 5494 bool operator==(const param_type& __x, const param_type& __y) 5495 {return __x.__a_ == __y.__a_ && __x.__b_ == __y.__b_;} 5496 friend _LIBCPP_INLINE_VISIBILITY 5497 bool operator!=(const param_type& __x, const param_type& __y) 5498 {return !(__x == __y);} 5499 }; 5500 5501 private: 5502 param_type __p_; 5503 5504 public: 5505 // constructor and reset functions 5506 _LIBCPP_INLINE_VISIBILITY 5507 explicit cauchy_distribution(result_type __a = 0, result_type __b = 1) 5508 : __p_(param_type(__a, __b)) {} 5509 _LIBCPP_INLINE_VISIBILITY 5510 explicit cauchy_distribution(const param_type& __p) 5511 : __p_(__p) {} 5512 _LIBCPP_INLINE_VISIBILITY 5513 void reset() {} 5514 5515 // generating functions 5516 template<class _URNG> 5517 _LIBCPP_INLINE_VISIBILITY 5518 result_type operator()(_URNG& __g) 5519 {return (*this)(__g, __p_);} 5520 template<class _URNG> result_type operator()(_URNG& __g, const param_type& __p); 5521 5522 // property functions 5523 _LIBCPP_INLINE_VISIBILITY 5524 result_type a() const {return __p_.a();} 5525 _LIBCPP_INLINE_VISIBILITY 5526 result_type b() const {return __p_.b();} 5527 5528 _LIBCPP_INLINE_VISIBILITY 5529 param_type param() const {return __p_;} 5530 _LIBCPP_INLINE_VISIBILITY 5531 void param(const param_type& __p) {__p_ = __p;} 5532 5533 _LIBCPP_INLINE_VISIBILITY 5534 result_type min() const {return -numeric_limits<result_type>::infinity();} 5535 _LIBCPP_INLINE_VISIBILITY 5536 result_type max() const {return numeric_limits<result_type>::infinity();} 5537 5538 friend _LIBCPP_INLINE_VISIBILITY 5539 bool operator==(const cauchy_distribution& __x, 5540 const cauchy_distribution& __y) 5541 {return __x.__p_ == __y.__p_;} 5542 friend _LIBCPP_INLINE_VISIBILITY 5543 bool operator!=(const cauchy_distribution& __x, 5544 const cauchy_distribution& __y) 5545 {return !(__x == __y);} 5546 }; 5547 5548 template <class _RealType> 5549 template<class _URNG> 5550 inline _LIBCPP_INLINE_VISIBILITY 5551 _RealType 5552 cauchy_distribution<_RealType>::operator()(_URNG& __g, const param_type& __p) 5553 { 5554 uniform_real_distribution<result_type> __gen; 5555 // purposefully let tan arg get as close to pi/2 as it wants, tan will return a finite 5556 return __p.a() + __p.b() * _VSTD::tan(3.1415926535897932384626433832795 * __gen(__g)); 5557 } 5558 5559 template <class _CharT, class _Traits, class _RT> 5560 basic_ostream<_CharT, _Traits>& 5561 operator<<(basic_ostream<_CharT, _Traits>& __os, 5562 const cauchy_distribution<_RT>& __x) 5563 { 5564 __save_flags<_CharT, _Traits> __lx(__os); 5565 __os.flags(ios_base::dec | ios_base::left | ios_base::fixed | 5566 ios_base::scientific); 5567 _CharT __sp = __os.widen(' '); 5568 __os.fill(__sp); 5569 __os << __x.a() << __sp << __x.b(); 5570 return __os; 5571 } 5572 5573 template <class _CharT, class _Traits, class _RT> 5574 basic_istream<_CharT, _Traits>& 5575 operator>>(basic_istream<_CharT, _Traits>& __is, 5576 cauchy_distribution<_RT>& __x) 5577 { 5578 typedef cauchy_distribution<_RT> _Eng; 5579 typedef typename _Eng::result_type result_type; 5580 typedef typename _Eng::param_type param_type; 5581 __save_flags<_CharT, _Traits> __lx(__is); 5582 __is.flags(ios_base::dec | ios_base::skipws); 5583 result_type __a; 5584 result_type __b; 5585 __is >> __a >> __b; 5586 if (!__is.fail()) 5587 __x.param(param_type(__a, __b)); 5588 return __is; 5589 } 5590 5591 // fisher_f_distribution 5592 5593 template<class _RealType = double> 5594 class _LIBCPP_TYPE_VIS fisher_f_distribution 5595 { 5596 public: 5597 // types 5598 typedef _RealType result_type; 5599 5600 class _LIBCPP_TYPE_VIS param_type 5601 { 5602 result_type __m_; 5603 result_type __n_; 5604 public: 5605 typedef fisher_f_distribution distribution_type; 5606 5607 _LIBCPP_INLINE_VISIBILITY 5608 explicit param_type(result_type __m = 1, result_type __n = 1) 5609 : __m_(__m), __n_(__n) {} 5610 5611 _LIBCPP_INLINE_VISIBILITY 5612 result_type m() const {return __m_;} 5613 _LIBCPP_INLINE_VISIBILITY 5614 result_type n() const {return __n_;} 5615 5616 friend _LIBCPP_INLINE_VISIBILITY 5617 bool operator==(const param_type& __x, const param_type& __y) 5618 {return __x.__m_ == __y.__m_ && __x.__n_ == __y.__n_;} 5619 friend _LIBCPP_INLINE_VISIBILITY 5620 bool operator!=(const param_type& __x, const param_type& __y) 5621 {return !(__x == __y);} 5622 }; 5623 5624 private: 5625 param_type __p_; 5626 5627 public: 5628 // constructor and reset functions 5629 _LIBCPP_INLINE_VISIBILITY 5630 explicit fisher_f_distribution(result_type __m = 1, result_type __n = 1) 5631 : __p_(param_type(__m, __n)) {} 5632 _LIBCPP_INLINE_VISIBILITY 5633 explicit fisher_f_distribution(const param_type& __p) 5634 : __p_(__p) {} 5635 _LIBCPP_INLINE_VISIBILITY 5636 void reset() {} 5637 5638 // generating functions 5639 template<class _URNG> 5640 _LIBCPP_INLINE_VISIBILITY 5641 result_type operator()(_URNG& __g) 5642 {return (*this)(__g, __p_);} 5643 template<class _URNG> result_type operator()(_URNG& __g, const param_type& __p); 5644 5645 // property functions 5646 _LIBCPP_INLINE_VISIBILITY 5647 result_type m() const {return __p_.m();} 5648 _LIBCPP_INLINE_VISIBILITY 5649 result_type n() const {return __p_.n();} 5650 5651 _LIBCPP_INLINE_VISIBILITY 5652 param_type param() const {return __p_;} 5653 _LIBCPP_INLINE_VISIBILITY 5654 void param(const param_type& __p) {__p_ = __p;} 5655 5656 _LIBCPP_INLINE_VISIBILITY 5657 result_type min() const {return 0;} 5658 _LIBCPP_INLINE_VISIBILITY 5659 result_type max() const {return numeric_limits<result_type>::infinity();} 5660 5661 friend _LIBCPP_INLINE_VISIBILITY 5662 bool operator==(const fisher_f_distribution& __x, 5663 const fisher_f_distribution& __y) 5664 {return __x.__p_ == __y.__p_;} 5665 friend _LIBCPP_INLINE_VISIBILITY 5666 bool operator!=(const fisher_f_distribution& __x, 5667 const fisher_f_distribution& __y) 5668 {return !(__x == __y);} 5669 }; 5670 5671 template <class _RealType> 5672 template<class _URNG> 5673 _RealType 5674 fisher_f_distribution<_RealType>::operator()(_URNG& __g, const param_type& __p) 5675 { 5676 gamma_distribution<result_type> __gdm(__p.m() * result_type(.5)); 5677 gamma_distribution<result_type> __gdn(__p.n() * result_type(.5)); 5678 return __p.n() * __gdm(__g) / (__p.m() * __gdn(__g)); 5679 } 5680 5681 template <class _CharT, class _Traits, class _RT> 5682 basic_ostream<_CharT, _Traits>& 5683 operator<<(basic_ostream<_CharT, _Traits>& __os, 5684 const fisher_f_distribution<_RT>& __x) 5685 { 5686 __save_flags<_CharT, _Traits> __lx(__os); 5687 __os.flags(ios_base::dec | ios_base::left | ios_base::fixed | 5688 ios_base::scientific); 5689 _CharT __sp = __os.widen(' '); 5690 __os.fill(__sp); 5691 __os << __x.m() << __sp << __x.n(); 5692 return __os; 5693 } 5694 5695 template <class _CharT, class _Traits, class _RT> 5696 basic_istream<_CharT, _Traits>& 5697 operator>>(basic_istream<_CharT, _Traits>& __is, 5698 fisher_f_distribution<_RT>& __x) 5699 { 5700 typedef fisher_f_distribution<_RT> _Eng; 5701 typedef typename _Eng::result_type result_type; 5702 typedef typename _Eng::param_type param_type; 5703 __save_flags<_CharT, _Traits> __lx(__is); 5704 __is.flags(ios_base::dec | ios_base::skipws); 5705 result_type __m; 5706 result_type __n; 5707 __is >> __m >> __n; 5708 if (!__is.fail()) 5709 __x.param(param_type(__m, __n)); 5710 return __is; 5711 } 5712 5713 // student_t_distribution 5714 5715 template<class _RealType = double> 5716 class _LIBCPP_TYPE_VIS student_t_distribution 5717 { 5718 public: 5719 // types 5720 typedef _RealType result_type; 5721 5722 class _LIBCPP_TYPE_VIS param_type 5723 { 5724 result_type __n_; 5725 public: 5726 typedef student_t_distribution distribution_type; 5727 5728 _LIBCPP_INLINE_VISIBILITY 5729 explicit param_type(result_type __n = 1) : __n_(__n) {} 5730 5731 _LIBCPP_INLINE_VISIBILITY 5732 result_type n() const {return __n_;} 5733 5734 friend _LIBCPP_INLINE_VISIBILITY 5735 bool operator==(const param_type& __x, const param_type& __y) 5736 {return __x.__n_ == __y.__n_;} 5737 friend _LIBCPP_INLINE_VISIBILITY 5738 bool operator!=(const param_type& __x, const param_type& __y) 5739 {return !(__x == __y);} 5740 }; 5741 5742 private: 5743 param_type __p_; 5744 normal_distribution<result_type> __nd_; 5745 5746 public: 5747 // constructor and reset functions 5748 _LIBCPP_INLINE_VISIBILITY 5749 explicit student_t_distribution(result_type __n = 1) 5750 : __p_(param_type(__n)) {} 5751 _LIBCPP_INLINE_VISIBILITY 5752 explicit student_t_distribution(const param_type& __p) 5753 : __p_(__p) {} 5754 _LIBCPP_INLINE_VISIBILITY 5755 void reset() {__nd_.reset();} 5756 5757 // generating functions 5758 template<class _URNG> 5759 _LIBCPP_INLINE_VISIBILITY 5760 result_type operator()(_URNG& __g) 5761 {return (*this)(__g, __p_);} 5762 template<class _URNG> result_type operator()(_URNG& __g, const param_type& __p); 5763 5764 // property functions 5765 _LIBCPP_INLINE_VISIBILITY 5766 result_type n() const {return __p_.n();} 5767 5768 _LIBCPP_INLINE_VISIBILITY 5769 param_type param() const {return __p_;} 5770 _LIBCPP_INLINE_VISIBILITY 5771 void param(const param_type& __p) {__p_ = __p;} 5772 5773 _LIBCPP_INLINE_VISIBILITY 5774 result_type min() const {return -numeric_limits<result_type>::infinity();} 5775 _LIBCPP_INLINE_VISIBILITY 5776 result_type max() const {return numeric_limits<result_type>::infinity();} 5777 5778 friend _LIBCPP_INLINE_VISIBILITY 5779 bool operator==(const student_t_distribution& __x, 5780 const student_t_distribution& __y) 5781 {return __x.__p_ == __y.__p_;} 5782 friend _LIBCPP_INLINE_VISIBILITY 5783 bool operator!=(const student_t_distribution& __x, 5784 const student_t_distribution& __y) 5785 {return !(__x == __y);} 5786 }; 5787 5788 template <class _RealType> 5789 template<class _URNG> 5790 _RealType 5791 student_t_distribution<_RealType>::operator()(_URNG& __g, const param_type& __p) 5792 { 5793 gamma_distribution<result_type> __gd(__p.n() * .5, 2); 5794 return __nd_(__g) * _VSTD::sqrt(__p.n()/__gd(__g)); 5795 } 5796 5797 template <class _CharT, class _Traits, class _RT> 5798 basic_ostream<_CharT, _Traits>& 5799 operator<<(basic_ostream<_CharT, _Traits>& __os, 5800 const student_t_distribution<_RT>& __x) 5801 { 5802 __save_flags<_CharT, _Traits> __lx(__os); 5803 __os.flags(ios_base::dec | ios_base::left | ios_base::fixed | 5804 ios_base::scientific); 5805 __os << __x.n(); 5806 return __os; 5807 } 5808 5809 template <class _CharT, class _Traits, class _RT> 5810 basic_istream<_CharT, _Traits>& 5811 operator>>(basic_istream<_CharT, _Traits>& __is, 5812 student_t_distribution<_RT>& __x) 5813 { 5814 typedef student_t_distribution<_RT> _Eng; 5815 typedef typename _Eng::result_type result_type; 5816 typedef typename _Eng::param_type param_type; 5817 __save_flags<_CharT, _Traits> __lx(__is); 5818 __is.flags(ios_base::dec | ios_base::skipws); 5819 result_type __n; 5820 __is >> __n; 5821 if (!__is.fail()) 5822 __x.param(param_type(__n)); 5823 return __is; 5824 } 5825 5826 // discrete_distribution 5827 5828 template<class _IntType = int> 5829 class _LIBCPP_TYPE_VIS discrete_distribution 5830 { 5831 public: 5832 // types 5833 typedef _IntType result_type; 5834 5835 class _LIBCPP_TYPE_VIS param_type 5836 { 5837 vector<double> __p_; 5838 public: 5839 typedef discrete_distribution distribution_type; 5840 5841 _LIBCPP_INLINE_VISIBILITY 5842 param_type() {} 5843 template<class _InputIterator> 5844 _LIBCPP_INLINE_VISIBILITY 5845 param_type(_InputIterator __f, _InputIterator __l) 5846 : __p_(__f, __l) {__init();} 5847 #ifndef _LIBCPP_HAS_NO_GENERALIZED_INITIALIZERS 5848 _LIBCPP_INLINE_VISIBILITY 5849 param_type(initializer_list<double> __wl) 5850 : __p_(__wl.begin(), __wl.end()) {__init();} 5851 #endif // _LIBCPP_HAS_NO_GENERALIZED_INITIALIZERS 5852 template<class _UnaryOperation> 5853 param_type(size_t __nw, double __xmin, double __xmax, 5854 _UnaryOperation __fw); 5855 5856 vector<double> probabilities() const; 5857 5858 friend _LIBCPP_INLINE_VISIBILITY 5859 bool operator==(const param_type& __x, const param_type& __y) 5860 {return __x.__p_ == __y.__p_;} 5861 friend _LIBCPP_INLINE_VISIBILITY 5862 bool operator!=(const param_type& __x, const param_type& __y) 5863 {return !(__x == __y);} 5864 5865 private: 5866 void __init(); 5867 5868 friend class discrete_distribution; 5869 5870 template <class _CharT, class _Traits, class _IT> 5871 friend 5872 basic_ostream<_CharT, _Traits>& 5873 operator<<(basic_ostream<_CharT, _Traits>& __os, 5874 const discrete_distribution<_IT>& __x); 5875 5876 template <class _CharT, class _Traits, class _IT> 5877 friend 5878 basic_istream<_CharT, _Traits>& 5879 operator>>(basic_istream<_CharT, _Traits>& __is, 5880 discrete_distribution<_IT>& __x); 5881 }; 5882 5883 private: 5884 param_type __p_; 5885 5886 public: 5887 // constructor and reset functions 5888 _LIBCPP_INLINE_VISIBILITY 5889 discrete_distribution() {} 5890 template<class _InputIterator> 5891 _LIBCPP_INLINE_VISIBILITY 5892 discrete_distribution(_InputIterator __f, _InputIterator __l) 5893 : __p_(__f, __l) {} 5894 #ifndef _LIBCPP_HAS_NO_GENERALIZED_INITIALIZERS 5895 _LIBCPP_INLINE_VISIBILITY 5896 discrete_distribution(initializer_list<double> __wl) 5897 : __p_(__wl) {} 5898 #endif // _LIBCPP_HAS_NO_GENERALIZED_INITIALIZERS 5899 template<class _UnaryOperation> 5900 _LIBCPP_INLINE_VISIBILITY 5901 discrete_distribution(size_t __nw, double __xmin, double __xmax, 5902 _UnaryOperation __fw) 5903 : __p_(__nw, __xmin, __xmax, __fw) {} 5904 explicit discrete_distribution(const param_type& __p) 5905 _LIBCPP_INLINE_VISIBILITY 5906 : __p_(__p) {} 5907 _LIBCPP_INLINE_VISIBILITY 5908 void reset() {} 5909 5910 // generating functions 5911 template<class _URNG> 5912 _LIBCPP_INLINE_VISIBILITY 5913 result_type operator()(_URNG& __g) 5914 {return (*this)(__g, __p_);} 5915 template<class _URNG> result_type operator()(_URNG& __g, const param_type& __p); 5916 5917 // property functions 5918 _LIBCPP_INLINE_VISIBILITY 5919 vector<double> probabilities() const {return __p_.probabilities();} 5920 5921 _LIBCPP_INLINE_VISIBILITY 5922 param_type param() const {return __p_;} 5923 _LIBCPP_INLINE_VISIBILITY 5924 void param(const param_type& __p) {__p_ = __p;} 5925 5926 _LIBCPP_INLINE_VISIBILITY 5927 result_type min() const {return 0;} 5928 _LIBCPP_INLINE_VISIBILITY 5929 result_type max() const {return __p_.__p_.size();} 5930 5931 friend _LIBCPP_INLINE_VISIBILITY 5932 bool operator==(const discrete_distribution& __x, 5933 const discrete_distribution& __y) 5934 {return __x.__p_ == __y.__p_;} 5935 friend _LIBCPP_INLINE_VISIBILITY 5936 bool operator!=(const discrete_distribution& __x, 5937 const discrete_distribution& __y) 5938 {return !(__x == __y);} 5939 5940 template <class _CharT, class _Traits, class _IT> 5941 friend 5942 basic_ostream<_CharT, _Traits>& 5943 operator<<(basic_ostream<_CharT, _Traits>& __os, 5944 const discrete_distribution<_IT>& __x); 5945 5946 template <class _CharT, class _Traits, class _IT> 5947 friend 5948 basic_istream<_CharT, _Traits>& 5949 operator>>(basic_istream<_CharT, _Traits>& __is, 5950 discrete_distribution<_IT>& __x); 5951 }; 5952 5953 template<class _IntType> 5954 template<class _UnaryOperation> 5955 discrete_distribution<_IntType>::param_type::param_type(size_t __nw, 5956 double __xmin, 5957 double __xmax, 5958 _UnaryOperation __fw) 5959 { 5960 if (__nw > 1) 5961 { 5962 __p_.reserve(__nw - 1); 5963 double __d = (__xmax - __xmin) / __nw; 5964 double __d2 = __d / 2; 5965 for (size_t __k = 0; __k < __nw; ++__k) 5966 __p_.push_back(__fw(__xmin + __k * __d + __d2)); 5967 __init(); 5968 } 5969 } 5970 5971 template<class _IntType> 5972 void 5973 discrete_distribution<_IntType>::param_type::__init() 5974 { 5975 if (!__p_.empty()) 5976 { 5977 if (__p_.size() > 1) 5978 { 5979 double __s = _VSTD::accumulate(__p_.begin(), __p_.end(), 0.0); 5980 for (_VSTD::vector<double>::iterator __i = __p_.begin(), __e = __p_.end(); 5981 __i < __e; ++__i) 5982 *__i /= __s; 5983 vector<double> __t(__p_.size() - 1); 5984 _VSTD::partial_sum(__p_.begin(), __p_.end() - 1, __t.begin()); 5985 swap(__p_, __t); 5986 } 5987 else 5988 { 5989 __p_.clear(); 5990 __p_.shrink_to_fit(); 5991 } 5992 } 5993 } 5994 5995 template<class _IntType> 5996 vector<double> 5997 discrete_distribution<_IntType>::param_type::probabilities() const 5998 { 5999 size_t __n = __p_.size(); 6000 _VSTD::vector<double> __p(__n+1); 6001 _VSTD::adjacent_difference(__p_.begin(), __p_.end(), __p.begin()); 6002 if (__n > 0) 6003 __p[__n] = 1 - __p_[__n-1]; 6004 else 6005 __p[0] = 1; 6006 return __p; 6007 } 6008 6009 template<class _IntType> 6010 template<class _URNG> 6011 _IntType 6012 discrete_distribution<_IntType>::operator()(_URNG& __g, const param_type& __p) 6013 { 6014 uniform_real_distribution<double> __gen; 6015 return static_cast<_IntType>( 6016 _VSTD::upper_bound(__p.__p_.begin(), __p.__p_.end(), __gen(__g)) - 6017 __p.__p_.begin()); 6018 } 6019 6020 template <class _CharT, class _Traits, class _IT> 6021 basic_ostream<_CharT, _Traits>& 6022 operator<<(basic_ostream<_CharT, _Traits>& __os, 6023 const discrete_distribution<_IT>& __x) 6024 { 6025 __save_flags<_CharT, _Traits> __lx(__os); 6026 __os.flags(ios_base::dec | ios_base::left | ios_base::fixed | 6027 ios_base::scientific); 6028 _CharT __sp = __os.widen(' '); 6029 __os.fill(__sp); 6030 size_t __n = __x.__p_.__p_.size(); 6031 __os << __n; 6032 for (size_t __i = 0; __i < __n; ++__i) 6033 __os << __sp << __x.__p_.__p_[__i]; 6034 return __os; 6035 } 6036 6037 template <class _CharT, class _Traits, class _IT> 6038 basic_istream<_CharT, _Traits>& 6039 operator>>(basic_istream<_CharT, _Traits>& __is, 6040 discrete_distribution<_IT>& __x) 6041 { 6042 typedef discrete_distribution<_IT> _Eng; 6043 typedef typename _Eng::result_type result_type; 6044 typedef typename _Eng::param_type param_type; 6045 __save_flags<_CharT, _Traits> __lx(__is); 6046 __is.flags(ios_base::dec | ios_base::skipws); 6047 size_t __n; 6048 __is >> __n; 6049 vector<double> __p(__n); 6050 for (size_t __i = 0; __i < __n; ++__i) 6051 __is >> __p[__i]; 6052 if (!__is.fail()) 6053 swap(__x.__p_.__p_, __p); 6054 return __is; 6055 } 6056 6057 // piecewise_constant_distribution 6058 6059 template<class _RealType = double> 6060 class _LIBCPP_TYPE_VIS piecewise_constant_distribution 6061 { 6062 public: 6063 // types 6064 typedef _RealType result_type; 6065 6066 class _LIBCPP_TYPE_VIS param_type 6067 { 6068 vector<result_type> __b_; 6069 vector<result_type> __densities_; 6070 vector<result_type> __areas_; 6071 public: 6072 typedef piecewise_constant_distribution distribution_type; 6073 6074 param_type(); 6075 template<class _InputIteratorB, class _InputIteratorW> 6076 param_type(_InputIteratorB __fB, _InputIteratorB __lB, 6077 _InputIteratorW __fW); 6078 #ifndef _LIBCPP_HAS_NO_GENERALIZED_INITIALIZERS 6079 template<class _UnaryOperation> 6080 param_type(initializer_list<result_type> __bl, _UnaryOperation __fw); 6081 #endif // _LIBCPP_HAS_NO_GENERALIZED_INITIALIZERS 6082 template<class _UnaryOperation> 6083 param_type(size_t __nw, result_type __xmin, result_type __xmax, 6084 _UnaryOperation __fw); 6085 param_type & operator=(const param_type& __rhs); 6086 6087 _LIBCPP_INLINE_VISIBILITY 6088 vector<result_type> intervals() const {return __b_;} 6089 _LIBCPP_INLINE_VISIBILITY 6090 vector<result_type> densities() const {return __densities_;} 6091 6092 friend _LIBCPP_INLINE_VISIBILITY 6093 bool operator==(const param_type& __x, const param_type& __y) 6094 {return __x.__densities_ == __y.__densities_ && __x.__b_ == __y.__b_;} 6095 friend _LIBCPP_INLINE_VISIBILITY 6096 bool operator!=(const param_type& __x, const param_type& __y) 6097 {return !(__x == __y);} 6098 6099 private: 6100 void __init(); 6101 6102 friend class piecewise_constant_distribution; 6103 6104 template <class _CharT, class _Traits, class _RT> 6105 friend 6106 basic_ostream<_CharT, _Traits>& 6107 operator<<(basic_ostream<_CharT, _Traits>& __os, 6108 const piecewise_constant_distribution<_RT>& __x); 6109 6110 template <class _CharT, class _Traits, class _RT> 6111 friend 6112 basic_istream<_CharT, _Traits>& 6113 operator>>(basic_istream<_CharT, _Traits>& __is, 6114 piecewise_constant_distribution<_RT>& __x); 6115 }; 6116 6117 private: 6118 param_type __p_; 6119 6120 public: 6121 // constructor and reset functions 6122 _LIBCPP_INLINE_VISIBILITY 6123 piecewise_constant_distribution() {} 6124 template<class _InputIteratorB, class _InputIteratorW> 6125 _LIBCPP_INLINE_VISIBILITY 6126 piecewise_constant_distribution(_InputIteratorB __fB, 6127 _InputIteratorB __lB, 6128 _InputIteratorW __fW) 6129 : __p_(__fB, __lB, __fW) {} 6130 6131 #ifndef _LIBCPP_HAS_NO_GENERALIZED_INITIALIZERS 6132 template<class _UnaryOperation> 6133 _LIBCPP_INLINE_VISIBILITY 6134 piecewise_constant_distribution(initializer_list<result_type> __bl, 6135 _UnaryOperation __fw) 6136 : __p_(__bl, __fw) {} 6137 #endif // _LIBCPP_HAS_NO_GENERALIZED_INITIALIZERS 6138 6139 template<class _UnaryOperation> 6140 _LIBCPP_INLINE_VISIBILITY 6141 piecewise_constant_distribution(size_t __nw, result_type __xmin, 6142 result_type __xmax, _UnaryOperation __fw) 6143 : __p_(__nw, __xmin, __xmax, __fw) {} 6144 6145 _LIBCPP_INLINE_VISIBILITY 6146 explicit piecewise_constant_distribution(const param_type& __p) 6147 : __p_(__p) {} 6148 6149 _LIBCPP_INLINE_VISIBILITY 6150 void reset() {} 6151 6152 // generating functions 6153 template<class _URNG> 6154 _LIBCPP_INLINE_VISIBILITY 6155 result_type operator()(_URNG& __g) 6156 {return (*this)(__g, __p_);} 6157 template<class _URNG> result_type operator()(_URNG& __g, const param_type& __p); 6158 6159 // property functions 6160 _LIBCPP_INLINE_VISIBILITY 6161 vector<result_type> intervals() const {return __p_.intervals();} 6162 _LIBCPP_INLINE_VISIBILITY 6163 vector<result_type> densities() const {return __p_.densities();} 6164 6165 _LIBCPP_INLINE_VISIBILITY 6166 param_type param() const {return __p_;} 6167 _LIBCPP_INLINE_VISIBILITY 6168 void param(const param_type& __p) {__p_ = __p;} 6169 6170 _LIBCPP_INLINE_VISIBILITY 6171 result_type min() const {return __p_.__b_.front();} 6172 _LIBCPP_INLINE_VISIBILITY 6173 result_type max() const {return __p_.__b_.back();} 6174 6175 friend _LIBCPP_INLINE_VISIBILITY 6176 bool operator==(const piecewise_constant_distribution& __x, 6177 const piecewise_constant_distribution& __y) 6178 {return __x.__p_ == __y.__p_;} 6179 friend _LIBCPP_INLINE_VISIBILITY 6180 bool operator!=(const piecewise_constant_distribution& __x, 6181 const piecewise_constant_distribution& __y) 6182 {return !(__x == __y);} 6183 6184 template <class _CharT, class _Traits, class _RT> 6185 friend 6186 basic_ostream<_CharT, _Traits>& 6187 operator<<(basic_ostream<_CharT, _Traits>& __os, 6188 const piecewise_constant_distribution<_RT>& __x); 6189 6190 template <class _CharT, class _Traits, class _RT> 6191 friend 6192 basic_istream<_CharT, _Traits>& 6193 operator>>(basic_istream<_CharT, _Traits>& __is, 6194 piecewise_constant_distribution<_RT>& __x); 6195 }; 6196 6197 template<class _RealType> 6198 typename piecewise_constant_distribution<_RealType>::param_type & 6199 piecewise_constant_distribution<_RealType>::param_type::operator= 6200 (const param_type& __rhs) 6201 { 6202 // These can throw 6203 __b_.reserve (__rhs.__b_.size ()); 6204 __densities_.reserve(__rhs.__densities_.size()); 6205 __areas_.reserve (__rhs.__areas_.size()); 6206 6207 // These can not throw 6208 __b_ = __rhs.__b_; 6209 __densities_ = __rhs.__densities_; 6210 __areas_ = __rhs.__areas_; 6211 return *this; 6212 } 6213 6214 template<class _RealType> 6215 void 6216 piecewise_constant_distribution<_RealType>::param_type::__init() 6217 { 6218 // __densities_ contains non-normalized areas 6219 result_type __total_area = _VSTD::accumulate(__densities_.begin(), 6220 __densities_.end(), 6221 result_type()); 6222 for (size_t __i = 0; __i < __densities_.size(); ++__i) 6223 __densities_[__i] /= __total_area; 6224 // __densities_ contains normalized areas 6225 __areas_.assign(__densities_.size(), result_type()); 6226 _VSTD::partial_sum(__densities_.begin(), __densities_.end() - 1, 6227 __areas_.begin() + 1); 6228 // __areas_ contains partial sums of normalized areas: [0, __densities_ - 1] 6229 __densities_.back() = 1 - __areas_.back(); // correct round off error 6230 for (size_t __i = 0; __i < __densities_.size(); ++__i) 6231 __densities_[__i] /= (__b_[__i+1] - __b_[__i]); 6232 // __densities_ now contains __densities_ 6233 } 6234 6235 template<class _RealType> 6236 piecewise_constant_distribution<_RealType>::param_type::param_type() 6237 : __b_(2), 6238 __densities_(1, 1.0), 6239 __areas_(1, 0.0) 6240 { 6241 __b_[1] = 1; 6242 } 6243 6244 template<class _RealType> 6245 template<class _InputIteratorB, class _InputIteratorW> 6246 piecewise_constant_distribution<_RealType>::param_type::param_type( 6247 _InputIteratorB __fB, _InputIteratorB __lB, _InputIteratorW __fW) 6248 : __b_(__fB, __lB) 6249 { 6250 if (__b_.size() < 2) 6251 { 6252 __b_.resize(2); 6253 __b_[0] = 0; 6254 __b_[1] = 1; 6255 __densities_.assign(1, 1.0); 6256 __areas_.assign(1, 0.0); 6257 } 6258 else 6259 { 6260 __densities_.reserve(__b_.size() - 1); 6261 for (size_t __i = 0; __i < __b_.size() - 1; ++__i, ++__fW) 6262 __densities_.push_back(*__fW); 6263 __init(); 6264 } 6265 } 6266 6267 #ifndef _LIBCPP_HAS_NO_GENERALIZED_INITIALIZERS 6268 6269 template<class _RealType> 6270 template<class _UnaryOperation> 6271 piecewise_constant_distribution<_RealType>::param_type::param_type( 6272 initializer_list<result_type> __bl, _UnaryOperation __fw) 6273 : __b_(__bl.begin(), __bl.end()) 6274 { 6275 if (__b_.size() < 2) 6276 { 6277 __b_.resize(2); 6278 __b_[0] = 0; 6279 __b_[1] = 1; 6280 __densities_.assign(1, 1.0); 6281 __areas_.assign(1, 0.0); 6282 } 6283 else 6284 { 6285 __densities_.reserve(__b_.size() - 1); 6286 for (size_t __i = 0; __i < __b_.size() - 1; ++__i) 6287 __densities_.push_back(__fw((__b_[__i+1] + __b_[__i])*.5)); 6288 __init(); 6289 } 6290 } 6291 6292 #endif // _LIBCPP_HAS_NO_GENERALIZED_INITIALIZERS 6293 6294 template<class _RealType> 6295 template<class _UnaryOperation> 6296 piecewise_constant_distribution<_RealType>::param_type::param_type( 6297 size_t __nw, result_type __xmin, result_type __xmax, _UnaryOperation __fw) 6298 : __b_(__nw == 0 ? 2 : __nw + 1) 6299 { 6300 size_t __n = __b_.size() - 1; 6301 result_type __d = (__xmax - __xmin) / __n; 6302 __densities_.reserve(__n); 6303 for (size_t __i = 0; __i < __n; ++__i) 6304 { 6305 __b_[__i] = __xmin + __i * __d; 6306 __densities_.push_back(__fw(__b_[__i] + __d*.5)); 6307 } 6308 __b_[__n] = __xmax; 6309 __init(); 6310 } 6311 6312 template<class _RealType> 6313 template<class _URNG> 6314 _RealType 6315 piecewise_constant_distribution<_RealType>::operator()(_URNG& __g, const param_type& __p) 6316 { 6317 typedef uniform_real_distribution<result_type> _Gen; 6318 result_type __u = _Gen()(__g); 6319 ptrdiff_t __k = _VSTD::upper_bound(__p.__areas_.begin(), __p.__areas_.end(), 6320 __u) - __p.__areas_.begin() - 1; 6321 return (__u - __p.__areas_[__k]) / __p.__densities_[__k] + __p.__b_[__k]; 6322 } 6323 6324 template <class _CharT, class _Traits, class _RT> 6325 basic_ostream<_CharT, _Traits>& 6326 operator<<(basic_ostream<_CharT, _Traits>& __os, 6327 const piecewise_constant_distribution<_RT>& __x) 6328 { 6329 __save_flags<_CharT, _Traits> __lx(__os); 6330 __os.flags(ios_base::dec | ios_base::left | ios_base::fixed | 6331 ios_base::scientific); 6332 _CharT __sp = __os.widen(' '); 6333 __os.fill(__sp); 6334 size_t __n = __x.__p_.__b_.size(); 6335 __os << __n; 6336 for (size_t __i = 0; __i < __n; ++__i) 6337 __os << __sp << __x.__p_.__b_[__i]; 6338 __n = __x.__p_.__densities_.size(); 6339 __os << __sp << __n; 6340 for (size_t __i = 0; __i < __n; ++__i) 6341 __os << __sp << __x.__p_.__densities_[__i]; 6342 __n = __x.__p_.__areas_.size(); 6343 __os << __sp << __n; 6344 for (size_t __i = 0; __i < __n; ++__i) 6345 __os << __sp << __x.__p_.__areas_[__i]; 6346 return __os; 6347 } 6348 6349 template <class _CharT, class _Traits, class _RT> 6350 basic_istream<_CharT, _Traits>& 6351 operator>>(basic_istream<_CharT, _Traits>& __is, 6352 piecewise_constant_distribution<_RT>& __x) 6353 { 6354 typedef piecewise_constant_distribution<_RT> _Eng; 6355 typedef typename _Eng::result_type result_type; 6356 typedef typename _Eng::param_type param_type; 6357 __save_flags<_CharT, _Traits> __lx(__is); 6358 __is.flags(ios_base::dec | ios_base::skipws); 6359 size_t __n; 6360 __is >> __n; 6361 vector<result_type> __b(__n); 6362 for (size_t __i = 0; __i < __n; ++__i) 6363 __is >> __b[__i]; 6364 __is >> __n; 6365 vector<result_type> __densities(__n); 6366 for (size_t __i = 0; __i < __n; ++__i) 6367 __is >> __densities[__i]; 6368 __is >> __n; 6369 vector<result_type> __areas(__n); 6370 for (size_t __i = 0; __i < __n; ++__i) 6371 __is >> __areas[__i]; 6372 if (!__is.fail()) 6373 { 6374 swap(__x.__p_.__b_, __b); 6375 swap(__x.__p_.__densities_, __densities); 6376 swap(__x.__p_.__areas_, __areas); 6377 } 6378 return __is; 6379 } 6380 6381 // piecewise_linear_distribution 6382 6383 template<class _RealType = double> 6384 class _LIBCPP_TYPE_VIS piecewise_linear_distribution 6385 { 6386 public: 6387 // types 6388 typedef _RealType result_type; 6389 6390 class _LIBCPP_TYPE_VIS param_type 6391 { 6392 vector<result_type> __b_; 6393 vector<result_type> __densities_; 6394 vector<result_type> __areas_; 6395 public: 6396 typedef piecewise_linear_distribution distribution_type; 6397 6398 param_type(); 6399 template<class _InputIteratorB, class _InputIteratorW> 6400 param_type(_InputIteratorB __fB, _InputIteratorB __lB, 6401 _InputIteratorW __fW); 6402 #ifndef _LIBCPP_HAS_NO_GENERALIZED_INITIALIZERS 6403 template<class _UnaryOperation> 6404 param_type(initializer_list<result_type> __bl, _UnaryOperation __fw); 6405 #endif // _LIBCPP_HAS_NO_GENERALIZED_INITIALIZERS 6406 template<class _UnaryOperation> 6407 param_type(size_t __nw, result_type __xmin, result_type __xmax, 6408 _UnaryOperation __fw); 6409 param_type & operator=(const param_type& __rhs); 6410 6411 _LIBCPP_INLINE_VISIBILITY 6412 vector<result_type> intervals() const {return __b_;} 6413 _LIBCPP_INLINE_VISIBILITY 6414 vector<result_type> densities() const {return __densities_;} 6415 6416 friend _LIBCPP_INLINE_VISIBILITY 6417 bool operator==(const param_type& __x, const param_type& __y) 6418 {return __x.__densities_ == __y.__densities_ && __x.__b_ == __y.__b_;} 6419 friend _LIBCPP_INLINE_VISIBILITY 6420 bool operator!=(const param_type& __x, const param_type& __y) 6421 {return !(__x == __y);} 6422 6423 private: 6424 void __init(); 6425 6426 friend class piecewise_linear_distribution; 6427 6428 template <class _CharT, class _Traits, class _RT> 6429 friend 6430 basic_ostream<_CharT, _Traits>& 6431 operator<<(basic_ostream<_CharT, _Traits>& __os, 6432 const piecewise_linear_distribution<_RT>& __x); 6433 6434 template <class _CharT, class _Traits, class _RT> 6435 friend 6436 basic_istream<_CharT, _Traits>& 6437 operator>>(basic_istream<_CharT, _Traits>& __is, 6438 piecewise_linear_distribution<_RT>& __x); 6439 }; 6440 6441 private: 6442 param_type __p_; 6443 6444 public: 6445 // constructor and reset functions 6446 _LIBCPP_INLINE_VISIBILITY 6447 piecewise_linear_distribution() {} 6448 template<class _InputIteratorB, class _InputIteratorW> 6449 _LIBCPP_INLINE_VISIBILITY 6450 piecewise_linear_distribution(_InputIteratorB __fB, 6451 _InputIteratorB __lB, 6452 _InputIteratorW __fW) 6453 : __p_(__fB, __lB, __fW) {} 6454 6455 #ifndef _LIBCPP_HAS_NO_GENERALIZED_INITIALIZERS 6456 template<class _UnaryOperation> 6457 _LIBCPP_INLINE_VISIBILITY 6458 piecewise_linear_distribution(initializer_list<result_type> __bl, 6459 _UnaryOperation __fw) 6460 : __p_(__bl, __fw) {} 6461 #endif // _LIBCPP_HAS_NO_GENERALIZED_INITIALIZERS 6462 6463 template<class _UnaryOperation> 6464 _LIBCPP_INLINE_VISIBILITY 6465 piecewise_linear_distribution(size_t __nw, result_type __xmin, 6466 result_type __xmax, _UnaryOperation __fw) 6467 : __p_(__nw, __xmin, __xmax, __fw) {} 6468 6469 _LIBCPP_INLINE_VISIBILITY 6470 explicit piecewise_linear_distribution(const param_type& __p) 6471 : __p_(__p) {} 6472 6473 _LIBCPP_INLINE_VISIBILITY 6474 void reset() {} 6475 6476 // generating functions 6477 template<class _URNG> 6478 _LIBCPP_INLINE_VISIBILITY 6479 result_type operator()(_URNG& __g) 6480 {return (*this)(__g, __p_);} 6481 template<class _URNG> result_type operator()(_URNG& __g, const param_type& __p); 6482 6483 // property functions 6484 _LIBCPP_INLINE_VISIBILITY 6485 vector<result_type> intervals() const {return __p_.intervals();} 6486 _LIBCPP_INLINE_VISIBILITY 6487 vector<result_type> densities() const {return __p_.densities();} 6488 6489 _LIBCPP_INLINE_VISIBILITY 6490 param_type param() const {return __p_;} 6491 _LIBCPP_INLINE_VISIBILITY 6492 void param(const param_type& __p) {__p_ = __p;} 6493 6494 _LIBCPP_INLINE_VISIBILITY 6495 result_type min() const {return __p_.__b_.front();} 6496 _LIBCPP_INLINE_VISIBILITY 6497 result_type max() const {return __p_.__b_.back();} 6498 6499 friend _LIBCPP_INLINE_VISIBILITY 6500 bool operator==(const piecewise_linear_distribution& __x, 6501 const piecewise_linear_distribution& __y) 6502 {return __x.__p_ == __y.__p_;} 6503 friend _LIBCPP_INLINE_VISIBILITY 6504 bool operator!=(const piecewise_linear_distribution& __x, 6505 const piecewise_linear_distribution& __y) 6506 {return !(__x == __y);} 6507 6508 template <class _CharT, class _Traits, class _RT> 6509 friend 6510 basic_ostream<_CharT, _Traits>& 6511 operator<<(basic_ostream<_CharT, _Traits>& __os, 6512 const piecewise_linear_distribution<_RT>& __x); 6513 6514 template <class _CharT, class _Traits, class _RT> 6515 friend 6516 basic_istream<_CharT, _Traits>& 6517 operator>>(basic_istream<_CharT, _Traits>& __is, 6518 piecewise_linear_distribution<_RT>& __x); 6519 }; 6520 6521 template<class _RealType> 6522 typename piecewise_linear_distribution<_RealType>::param_type & 6523 piecewise_linear_distribution<_RealType>::param_type::operator= 6524 (const param_type& __rhs) 6525 { 6526 // These can throw 6527 __b_.reserve (__rhs.__b_.size ()); 6528 __densities_.reserve(__rhs.__densities_.size()); 6529 __areas_.reserve (__rhs.__areas_.size()); 6530 6531 // These can not throw 6532 __b_ = __rhs.__b_; 6533 __densities_ = __rhs.__densities_; 6534 __areas_ = __rhs.__areas_; 6535 return *this; 6536 } 6537 6538 6539 template<class _RealType> 6540 void 6541 piecewise_linear_distribution<_RealType>::param_type::__init() 6542 { 6543 __areas_.assign(__densities_.size() - 1, result_type()); 6544 result_type _Sp = 0; 6545 for (size_t __i = 0; __i < __areas_.size(); ++__i) 6546 { 6547 __areas_[__i] = (__densities_[__i+1] + __densities_[__i]) * 6548 (__b_[__i+1] - __b_[__i]) * .5; 6549 _Sp += __areas_[__i]; 6550 } 6551 for (size_t __i = __areas_.size(); __i > 1;) 6552 { 6553 --__i; 6554 __areas_[__i] = __areas_[__i-1] / _Sp; 6555 } 6556 __areas_[0] = 0; 6557 for (size_t __i = 1; __i < __areas_.size(); ++__i) 6558 __areas_[__i] += __areas_[__i-1]; 6559 for (size_t __i = 0; __i < __densities_.size(); ++__i) 6560 __densities_[__i] /= _Sp; 6561 } 6562 6563 template<class _RealType> 6564 piecewise_linear_distribution<_RealType>::param_type::param_type() 6565 : __b_(2), 6566 __densities_(2, 1.0), 6567 __areas_(1, 0.0) 6568 { 6569 __b_[1] = 1; 6570 } 6571 6572 template<class _RealType> 6573 template<class _InputIteratorB, class _InputIteratorW> 6574 piecewise_linear_distribution<_RealType>::param_type::param_type( 6575 _InputIteratorB __fB, _InputIteratorB __lB, _InputIteratorW __fW) 6576 : __b_(__fB, __lB) 6577 { 6578 if (__b_.size() < 2) 6579 { 6580 __b_.resize(2); 6581 __b_[0] = 0; 6582 __b_[1] = 1; 6583 __densities_.assign(2, 1.0); 6584 __areas_.assign(1, 0.0); 6585 } 6586 else 6587 { 6588 __densities_.reserve(__b_.size()); 6589 for (size_t __i = 0; __i < __b_.size(); ++__i, ++__fW) 6590 __densities_.push_back(*__fW); 6591 __init(); 6592 } 6593 } 6594 6595 #ifndef _LIBCPP_HAS_NO_GENERALIZED_INITIALIZERS 6596 6597 template<class _RealType> 6598 template<class _UnaryOperation> 6599 piecewise_linear_distribution<_RealType>::param_type::param_type( 6600 initializer_list<result_type> __bl, _UnaryOperation __fw) 6601 : __b_(__bl.begin(), __bl.end()) 6602 { 6603 if (__b_.size() < 2) 6604 { 6605 __b_.resize(2); 6606 __b_[0] = 0; 6607 __b_[1] = 1; 6608 __densities_.assign(2, 1.0); 6609 __areas_.assign(1, 0.0); 6610 } 6611 else 6612 { 6613 __densities_.reserve(__b_.size()); 6614 for (size_t __i = 0; __i < __b_.size(); ++__i) 6615 __densities_.push_back(__fw(__b_[__i])); 6616 __init(); 6617 } 6618 } 6619 6620 #endif // _LIBCPP_HAS_NO_GENERALIZED_INITIALIZERS 6621 6622 template<class _RealType> 6623 template<class _UnaryOperation> 6624 piecewise_linear_distribution<_RealType>::param_type::param_type( 6625 size_t __nw, result_type __xmin, result_type __xmax, _UnaryOperation __fw) 6626 : __b_(__nw == 0 ? 2 : __nw + 1) 6627 { 6628 size_t __n = __b_.size() - 1; 6629 result_type __d = (__xmax - __xmin) / __n; 6630 __densities_.reserve(__b_.size()); 6631 for (size_t __i = 0; __i < __n; ++__i) 6632 { 6633 __b_[__i] = __xmin + __i * __d; 6634 __densities_.push_back(__fw(__b_[__i])); 6635 } 6636 __b_[__n] = __xmax; 6637 __densities_.push_back(__fw(__b_[__n])); 6638 __init(); 6639 } 6640 6641 template<class _RealType> 6642 template<class _URNG> 6643 _RealType 6644 piecewise_linear_distribution<_RealType>::operator()(_URNG& __g, const param_type& __p) 6645 { 6646 typedef uniform_real_distribution<result_type> _Gen; 6647 result_type __u = _Gen()(__g); 6648 ptrdiff_t __k = _VSTD::upper_bound(__p.__areas_.begin(), __p.__areas_.end(), 6649 __u) - __p.__areas_.begin() - 1; 6650 __u -= __p.__areas_[__k]; 6651 const result_type __dk = __p.__densities_[__k]; 6652 const result_type __dk1 = __p.__densities_[__k+1]; 6653 const result_type __deltad = __dk1 - __dk; 6654 const result_type __bk = __p.__b_[__k]; 6655 if (__deltad == 0) 6656 return __u / __dk + __bk; 6657 const result_type __bk1 = __p.__b_[__k+1]; 6658 const result_type __deltab = __bk1 - __bk; 6659 return (__bk * __dk1 - __bk1 * __dk + 6660 _VSTD::sqrt(__deltab * (__deltab * __dk * __dk + 2 * __deltad * __u))) / 6661 __deltad; 6662 } 6663 6664 template <class _CharT, class _Traits, class _RT> 6665 basic_ostream<_CharT, _Traits>& 6666 operator<<(basic_ostream<_CharT, _Traits>& __os, 6667 const piecewise_linear_distribution<_RT>& __x) 6668 { 6669 __save_flags<_CharT, _Traits> __lx(__os); 6670 __os.flags(ios_base::dec | ios_base::left | ios_base::fixed | 6671 ios_base::scientific); 6672 _CharT __sp = __os.widen(' '); 6673 __os.fill(__sp); 6674 size_t __n = __x.__p_.__b_.size(); 6675 __os << __n; 6676 for (size_t __i = 0; __i < __n; ++__i) 6677 __os << __sp << __x.__p_.__b_[__i]; 6678 __n = __x.__p_.__densities_.size(); 6679 __os << __sp << __n; 6680 for (size_t __i = 0; __i < __n; ++__i) 6681 __os << __sp << __x.__p_.__densities_[__i]; 6682 __n = __x.__p_.__areas_.size(); 6683 __os << __sp << __n; 6684 for (size_t __i = 0; __i < __n; ++__i) 6685 __os << __sp << __x.__p_.__areas_[__i]; 6686 return __os; 6687 } 6688 6689 template <class _CharT, class _Traits, class _RT> 6690 basic_istream<_CharT, _Traits>& 6691 operator>>(basic_istream<_CharT, _Traits>& __is, 6692 piecewise_linear_distribution<_RT>& __x) 6693 { 6694 typedef piecewise_linear_distribution<_RT> _Eng; 6695 typedef typename _Eng::result_type result_type; 6696 typedef typename _Eng::param_type param_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
