2 //===--------------------------- random -----------------------------------===//
4 // The LLVM Compiler Infrastructure
6 // This file is dual licensed under the MIT and the University of Illinois Open
7 // Source Licenses. See LICENSE.TXT for details.
9 //===----------------------------------------------------------------------===//
11 #ifndef _LIBCPP_RANDOM
12 #define _LIBCPP_RANDOM
17 #include <initializer_list>
24 template <class UIntType, UIntType a, UIntType c, UIntType m>
25 class linear_congruential_engine
29 typedef UIntType result_type;
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;
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);
45 // generating functions
46 result_type operator()();
47 void discard(unsigned long long z);
50 template <class UIntType, UIntType a, UIntType c, UIntType m>
52 operator==(const linear_congruential_engine<UIntType, a, c, m>& x,
53 const linear_congruential_engine<UIntType, a, c, m>& y);
55 template <class UIntType, UIntType a, UIntType c, UIntType m>
57 operator!=(const linear_congruential_engine<UIntType, a, c, m>& x,
58 const linear_congruential_engine<UIntType, a, c, m>& y);
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);
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);
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
79 typedef UIntType result_type;
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;
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);
105 // generating functions
106 result_type operator()();
107 void discard(unsigned long long z);
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>
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);
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>
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);
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);
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);
142 template<class UIntType, size_t w, size_t s, size_t r>
143 class subtract_with_carry_engine
147 typedef UIntType result_type;
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;
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);
163 // generating functions
164 result_type operator()();
165 void discard(unsigned long long z);
168 template<class UIntType, size_t w, size_t s, size_t r>
171 const subtract_with_carry_engine<UIntType, w, s, r>& x,
172 const subtract_with_carry_engine<UIntType, w, s, r>& y);
174 template<class UIntType, size_t w, size_t s, size_t r>
177 const subtract_with_carry_engine<UIntType, w, s, r>& x,
178 const subtract_with_carry_engine<UIntType, w, s, r>& y);
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);
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);
192 template<class Engine, size_t p, size_t r>
193 class discard_block_engine
197 typedef typename Engine::result_type result_type;
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(); }
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);
212 void seed(result_type s);
213 template<class Sseq> void seed(Sseq& q);
215 // generating functions
216 result_type operator()();
217 void discard(unsigned long long z);
219 // property functions
220 const Engine& base() const noexcept;
223 template<class Engine, size_t p, size_t r>
226 const discard_block_engine<Engine, p, r>& x,
227 const discard_block_engine<Engine, p, r>& y);
229 template<class Engine, size_t p, size_t r>
232 const discard_block_engine<Engine, p, r>& x,
233 const discard_block_engine<Engine, p, r>& y);
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);
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);
247 template<class Engine, size_t w, class UIntType>
248 class independent_bits_engine
252 typedef UIntType result_type;
254 // engine characteristics
255 static constexpr result_type min() { return 0; }
256 static constexpr result_type max() { return 2^w - 1; }
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);
265 void seed(result_type s);
266 template<class Sseq> void seed(Sseq& q);
268 // generating functions
269 result_type operator()(); void discard(unsigned long long z);
271 // property functions
272 const Engine& base() const noexcept;
275 template<class Engine, size_t w, class UIntType>
278 const independent_bits_engine<Engine, w, UIntType>& x,
279 const independent_bits_engine<Engine, w, UIntType>& y);
281 template<class Engine, size_t w, class UIntType>
284 const independent_bits_engine<Engine, w, UIntType>& x,
285 const independent_bits_engine<Engine, w, UIntType>& y);
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);
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);
299 template<class Engine, size_t k>
300 class shuffle_order_engine
304 typedef typename Engine::result_type result_type;
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; }
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);
318 void seed(result_type s);
319 template<class Sseq> void seed(Sseq& q);
321 // generating functions
322 result_type operator()();
323 void discard(unsigned long long z);
325 // property functions
326 const Engine& base() const noexcept;
329 template<class Engine, size_t k>
332 const shuffle_order_engine<Engine, k>& x,
333 const shuffle_order_engine<Engine, k>& y);
335 template<class Engine, size_t k>
338 const shuffle_order_engine<Engine, k>& x,
339 const shuffle_order_engine<Engine, k>& y);
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);
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);
353 typedef linear_congruential_engine<uint_fast32_t, 16807, 0, 2147483647>
355 typedef linear_congruential_engine<uint_fast32_t, 48271, 0, 2147483647>
357 typedef mersenne_twister_engine<uint_fast32_t, 32, 624, 397, 31,
362 18, 1812433253> mt19937;
363 typedef mersenne_twister_engine<uint_fast64_t, 64, 312, 156, 31,
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;
382 typedef unsigned int result_type;
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(); }
389 explicit random_device(const string& token = "/dev/urandom");
391 // generating functions
392 result_type operator()();
394 // property functions
395 double entropy() const noexcept;
398 random_device(const random_device& ) = delete;
399 void operator=(const random_device& ) = delete;
408 typedef uint_least32_t result_type;
413 seed_seq(initializer_list<T> il);
414 template<class InputIterator>
415 seed_seq(InputIterator begin, InputIterator end);
417 // generating functions
418 template<class RandomAccessIterator>
419 void generate(RandomAccessIterator begin, RandomAccessIterator end);
421 // property functions
423 template<class OutputIterator>
424 void param(OutputIterator dest) const;
427 seed_seq(const seed_seq&) = delete;
428 void operator=(const seed_seq& ) = delete;
431 template<class RealType, size_t bits, class URNG>
432 RealType generate_canonical(URNG& g);
436 template<class IntType = int>
437 class uniform_int_distribution
441 typedef IntType result_type;
446 typedef uniform_int_distribution distribution_type;
448 explicit param_type(IntType a = 0,
449 IntType b = numeric_limits<IntType>::max());
451 result_type a() const;
452 result_type b() const;
454 friend bool operator==(const param_type& x, const param_type& y);
455 friend bool operator!=(const param_type& x, const param_type& y);
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);
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);
468 // property functions
469 result_type a() const;
470 result_type b() const;
472 param_type param() const;
473 void param(const param_type& parm);
475 result_type min() const;
476 result_type max() const;
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);
483 template <class charT, class traits>
485 basic_ostream<charT, traits>&
486 operator<<(basic_ostream<charT, traits>& os,
487 const uniform_int_distribution& x);
489 template <class charT, class traits>
491 basic_istream<charT, traits>&
492 operator>>(basic_istream<charT, traits>& is,
493 uniform_int_distribution& x);
496 template<class RealType = double>
497 class uniform_real_distribution
501 typedef RealType result_type;
506 typedef uniform_real_distribution distribution_type;
508 explicit param_type(RealType a = 0,
511 result_type a() const;
512 result_type b() const;
514 friend bool operator==(const param_type& x, const param_type& y);
515 friend bool operator!=(const param_type& x, const param_type& y);
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);
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);
527 // property functions
528 result_type a() const;
529 result_type b() const;
531 param_type param() const;
532 void param(const param_type& parm);
534 result_type min() const;
535 result_type max() const;
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);
542 template <class charT, class traits>
544 basic_ostream<charT, traits>&
545 operator<<(basic_ostream<charT, traits>& os,
546 const uniform_real_distribution& x);
548 template <class charT, class traits>
550 basic_istream<charT, traits>&
551 operator>>(basic_istream<charT, traits>& is,
552 uniform_real_distribution& x);
555 class bernoulli_distribution
559 typedef bool result_type;
564 typedef bernoulli_distribution distribution_type;
566 explicit param_type(double p = 0.5);
570 friend bool operator==(const param_type& x, const param_type& y);
571 friend bool operator!=(const param_type& x, const param_type& y);
574 // constructors and reset functions
575 explicit bernoulli_distribution(double p = 0.5);
576 explicit bernoulli_distribution(const param_type& parm);
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);
583 // property functions
586 param_type param() const;
587 void param(const param_type& parm);
589 result_type min() const;
590 result_type max() const;
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);
597 template <class charT, class traits>
599 basic_ostream<charT, traits>&
600 operator<<(basic_ostream<charT, traits>& os,
601 const bernoulli_distribution& x);
603 template <class charT, class traits>
605 basic_istream<charT, traits>&
606 operator>>(basic_istream<charT, traits>& is,
607 bernoulli_distribution& x);
610 template<class IntType = int>
611 class binomial_distribution
615 typedef IntType result_type;
620 typedef binomial_distribution distribution_type;
622 explicit param_type(IntType t = 1, double p = 0.5);
627 friend bool operator==(const param_type& x, const param_type& y);
628 friend bool operator!=(const param_type& x, const param_type& y);
631 // constructors and reset functions
632 explicit binomial_distribution(IntType t = 1, double p = 0.5);
633 explicit binomial_distribution(const param_type& parm);
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);
640 // property functions
644 param_type param() const;
645 void param(const param_type& parm);
647 result_type min() const;
648 result_type max() const;
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);
655 template <class charT, class traits>
657 basic_ostream<charT, traits>&
658 operator<<(basic_ostream<charT, traits>& os,
659 const binomial_distribution& x);
661 template <class charT, class traits>
663 basic_istream<charT, traits>&
664 operator>>(basic_istream<charT, traits>& is,
665 binomial_distribution& x);
668 template<class IntType = int>
669 class geometric_distribution
673 typedef IntType result_type;
678 typedef geometric_distribution distribution_type;
680 explicit param_type(double p = 0.5);
684 friend bool operator==(const param_type& x, const param_type& y);
685 friend bool operator!=(const param_type& x, const param_type& y);
688 // constructors and reset functions
689 explicit geometric_distribution(double p = 0.5);
690 explicit geometric_distribution(const param_type& parm);
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);
697 // property functions
700 param_type param() const;
701 void param(const param_type& parm);
703 result_type min() const;
704 result_type max() const;
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);
711 template <class charT, class traits>
713 basic_ostream<charT, traits>&
714 operator<<(basic_ostream<charT, traits>& os,
715 const geometric_distribution& x);
717 template <class charT, class traits>
719 basic_istream<charT, traits>&
720 operator>>(basic_istream<charT, traits>& is,
721 geometric_distribution& x);
724 template<class IntType = int>
725 class negative_binomial_distribution
729 typedef IntType result_type;
734 typedef negative_binomial_distribution distribution_type;
736 explicit param_type(result_type k = 1, double p = 0.5);
738 result_type k() const;
741 friend bool operator==(const param_type& x, const param_type& y);
742 friend bool operator!=(const param_type& x, const param_type& y);
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);
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);
754 // property functions
755 result_type k() const;
758 param_type param() const;
759 void param(const param_type& parm);
761 result_type min() const;
762 result_type max() const;
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);
769 template <class charT, class traits>
771 basic_ostream<charT, traits>&
772 operator<<(basic_ostream<charT, traits>& os,
773 const negative_binomial_distribution& x);
775 template <class charT, class traits>
777 basic_istream<charT, traits>&
778 operator>>(basic_istream<charT, traits>& is,
779 negative_binomial_distribution& x);
782 template<class IntType = int>
783 class poisson_distribution
787 typedef IntType result_type;
792 typedef poisson_distribution distribution_type;
794 explicit param_type(double mean = 1.0);
798 friend bool operator==(const param_type& x, const param_type& y);
799 friend bool operator!=(const param_type& x, const param_type& y);
802 // constructors and reset functions
803 explicit poisson_distribution(double mean = 1.0);
804 explicit poisson_distribution(const param_type& parm);
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);
811 // property functions
814 param_type param() const;
815 void param(const param_type& parm);
817 result_type min() const;
818 result_type max() const;
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);
825 template <class charT, class traits>
827 basic_ostream<charT, traits>&
828 operator<<(basic_ostream<charT, traits>& os,
829 const poisson_distribution& x);
831 template <class charT, class traits>
833 basic_istream<charT, traits>&
834 operator>>(basic_istream<charT, traits>& is,
835 poisson_distribution& x);
838 template<class RealType = double>
839 class exponential_distribution
843 typedef RealType result_type;
848 typedef exponential_distribution distribution_type;
850 explicit param_type(result_type lambda = 1.0);
852 result_type lambda() const;
854 friend bool operator==(const param_type& x, const param_type& y);
855 friend bool operator!=(const param_type& x, const param_type& y);
858 // constructors and reset functions
859 explicit exponential_distribution(result_type lambda = 1.0);
860 explicit exponential_distribution(const param_type& parm);
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);
867 // property functions
868 result_type lambda() const;
870 param_type param() const;
871 void param(const param_type& parm);
873 result_type min() const;
874 result_type max() const;
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);
881 template <class charT, class traits>
883 basic_ostream<charT, traits>&
884 operator<<(basic_ostream<charT, traits>& os,
885 const exponential_distribution& x);
887 template <class charT, class traits>
889 basic_istream<charT, traits>&
890 operator>>(basic_istream<charT, traits>& is,
891 exponential_distribution& x);
894 template<class RealType = double>
895 class gamma_distribution
899 typedef RealType result_type;
904 typedef gamma_distribution distribution_type;
906 explicit param_type(result_type alpha = 1, result_type beta = 1);
908 result_type alpha() const;
909 result_type beta() const;
911 friend bool operator==(const param_type& x, const param_type& y);
912 friend bool operator!=(const param_type& x, const param_type& y);
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);
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);
924 // property functions
925 result_type alpha() const;
926 result_type beta() const;
928 param_type param() const;
929 void param(const param_type& parm);
931 result_type min() const;
932 result_type max() const;
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);
939 template <class charT, class traits>
941 basic_ostream<charT, traits>&
942 operator<<(basic_ostream<charT, traits>& os,
943 const gamma_distribution& x);
945 template <class charT, class traits>
947 basic_istream<charT, traits>&
948 operator>>(basic_istream<charT, traits>& is,
949 gamma_distribution& x);
952 template<class RealType = double>
953 class weibull_distribution
957 typedef RealType result_type;
962 typedef weibull_distribution distribution_type;
964 explicit param_type(result_type alpha = 1, result_type beta = 1);
966 result_type a() const;
967 result_type b() const;
969 friend bool operator==(const param_type& x, const param_type& y);
970 friend bool operator!=(const param_type& x, const param_type& y);
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);
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);
982 // property functions
983 result_type a() const;
984 result_type b() const;
986 param_type param() const;
987 void param(const param_type& parm);
989 result_type min() const;
990 result_type max() const;
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);
997 template <class charT, class traits>
999 basic_ostream<charT, traits>&
1000 operator<<(basic_ostream<charT, traits>& os,
1001 const weibull_distribution& x);
1003 template <class charT, class traits>
1005 basic_istream<charT, traits>&
1006 operator>>(basic_istream<charT, traits>& is,
1007 weibull_distribution& x);
1010 template<class RealType = double>
1011 class extreme_value_distribution
1015 typedef RealType result_type;
1020 typedef extreme_value_distribution distribution_type;
1022 explicit param_type(result_type a = 0, result_type b = 1);
1024 result_type a() const;
1025 result_type b() const;
1027 friend bool operator==(const param_type& x, const param_type& y);
1028 friend bool operator!=(const param_type& x, const param_type& y);
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);
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);
1040 // property functions
1041 result_type a() const;
1042 result_type b() const;
1044 param_type param() const;
1045 void param(const param_type& parm);
1047 result_type min() const;
1048 result_type max() const;
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);
1055 template <class charT, class traits>
1057 basic_ostream<charT, traits>&
1058 operator<<(basic_ostream<charT, traits>& os,
1059 const extreme_value_distribution& x);
1061 template <class charT, class traits>
1063 basic_istream<charT, traits>&
1064 operator>>(basic_istream<charT, traits>& is,
1065 extreme_value_distribution& x);
1068 template<class RealType = double>
1069 class normal_distribution
1073 typedef RealType result_type;
1078 typedef normal_distribution distribution_type;
1080 explicit param_type(result_type mean = 0, result_type stddev = 1);
1082 result_type mean() const;
1083 result_type stddev() const;
1085 friend bool operator==(const param_type& x, const param_type& y);
1086 friend bool operator!=(const param_type& x, const param_type& y);
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);
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);
1098 // property functions
1099 result_type mean() const;
1100 result_type stddev() const;
1102 param_type param() const;
1103 void param(const param_type& parm);
1105 result_type min() const;
1106 result_type max() const;
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);
1113 template <class charT, class traits>
1115 basic_ostream<charT, traits>&
1116 operator<<(basic_ostream<charT, traits>& os,
1117 const normal_distribution& x);
1119 template <class charT, class traits>
1121 basic_istream<charT, traits>&
1122 operator>>(basic_istream<charT, traits>& is,
1123 normal_distribution& x);
1126 template<class RealType = double>
1127 class lognormal_distribution
1131 typedef RealType result_type;
1136 typedef lognormal_distribution distribution_type;
1138 explicit param_type(result_type m = 0, result_type s = 1);
1140 result_type m() const;
1141 result_type s() const;
1143 friend bool operator==(const param_type& x, const param_type& y);
1144 friend bool operator!=(const param_type& x, const param_type& y);
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);
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);
1156 // property functions
1157 result_type m() const;
1158 result_type s() const;
1160 param_type param() const;
1161 void param(const param_type& parm);
1163 result_type min() const;
1164 result_type max() const;
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);
1171 template <class charT, class traits>
1173 basic_ostream<charT, traits>&
1174 operator<<(basic_ostream<charT, traits>& os,
1175 const lognormal_distribution& x);
1177 template <class charT, class traits>
1179 basic_istream<charT, traits>&
1180 operator>>(basic_istream<charT, traits>& is,
1181 lognormal_distribution& x);
1184 template<class RealType = double>
1185 class chi_squared_distribution
1189 typedef RealType result_type;
1194 typedef chi_squared_distribution distribution_type;
1196 explicit param_type(result_type n = 1);
1198 result_type n() const;
1200 friend bool operator==(const param_type& x, const param_type& y);
1201 friend bool operator!=(const param_type& x, const param_type& y);
1204 // constructor and reset functions
1205 explicit chi_squared_distribution(result_type n = 1);
1206 explicit chi_squared_distribution(const param_type& parm);
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);
1213 // property functions
1214 result_type n() const;
1216 param_type param() const;
1217 void param(const param_type& parm);
1219 result_type min() const;
1220 result_type max() const;
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);
1227 template <class charT, class traits>
1229 basic_ostream<charT, traits>&
1230 operator<<(basic_ostream<charT, traits>& os,
1231 const chi_squared_distribution& x);
1233 template <class charT, class traits>
1235 basic_istream<charT, traits>&
1236 operator>>(basic_istream<charT, traits>& is,
1237 chi_squared_distribution& x);
1240 template<class RealType = double>
1241 class cauchy_distribution
1245 typedef RealType result_type;
1250 typedef cauchy_distribution distribution_type;
1252 explicit param_type(result_type a = 0, result_type b = 1);
1254 result_type a() const;
1255 result_type b() const;
1257 friend bool operator==(const param_type& x, const param_type& y);
1258 friend bool operator!=(const param_type& x, const param_type& y);
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);
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);
1270 // property functions
1271 result_type a() const;
1272 result_type b() const;
1274 param_type param() const;
1275 void param(const param_type& parm);
1277 result_type min() const;
1278 result_type max() const;
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);
1285 template <class charT, class traits>
1287 basic_ostream<charT, traits>&
1288 operator<<(basic_ostream<charT, traits>& os,
1289 const cauchy_distribution& x);
1291 template <class charT, class traits>
1293 basic_istream<charT, traits>&
1294 operator>>(basic_istream<charT, traits>& is,
1295 cauchy_distribution& x);
1298 template<class RealType = double>
1299 class fisher_f_distribution
1303 typedef RealType result_type;
1308 typedef fisher_f_distribution distribution_type;
1310 explicit param_type(result_type m = 1, result_type n = 1);
1312 result_type m() const;
1313 result_type n() const;
1315 friend bool operator==(const param_type& x, const param_type& y);
1316 friend bool operator!=(const param_type& x, const param_type& y);
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);
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);
1328 // property functions
1329 result_type m() const;
1330 result_type n() const;
1332 param_type param() const;
1333 void param(const param_type& parm);
1335 result_type min() const;
1336 result_type max() const;
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);
1343 template <class charT, class traits>
1345 basic_ostream<charT, traits>&
1346 operator<<(basic_ostream<charT, traits>& os,
1347 const fisher_f_distribution& x);
1349 template <class charT, class traits>
1351 basic_istream<charT, traits>&
1352 operator>>(basic_istream<charT, traits>& is,
1353 fisher_f_distribution& x);
1356 template<class RealType = double>
1357 class student_t_distribution
1361 typedef RealType result_type;
1366 typedef student_t_distribution distribution_type;
1368 explicit param_type(result_type n = 1);
1370 result_type n() const;
1372 friend bool operator==(const param_type& x, const param_type& y);
1373 friend bool operator!=(const param_type& x, const param_type& y);
1376 // constructor and reset functions
1377 explicit student_t_distribution(result_type n = 1);
1378 explicit student_t_distribution(const param_type& parm);
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);
1385 // property functions
1386 result_type n() const;
1388 param_type param() const;
1389 void param(const param_type& parm);
1391 result_type min() const;
1392 result_type max() const;
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);
1399 template <class charT, class traits>
1401 basic_ostream<charT, traits>&
1402 operator<<(basic_ostream<charT, traits>& os,
1403 const student_t_distribution& x);
1405 template <class charT, class traits>
1407 basic_istream<charT, traits>&
1408 operator>>(basic_istream<charT, traits>& is,
1409 student_t_distribution& x);
1412 template<class IntType = int>
1413 class discrete_distribution
1417 typedef IntType result_type;
1422 typedef discrete_distribution distribution_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);
1431 vector<double> probabilities() const;
1433 friend bool operator==(const param_type& x, const param_type& y);
1434 friend bool operator!=(const param_type& x, const param_type& y);
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,
1445 explicit discrete_distribution(const param_type& parm);
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);
1452 // property functions
1453 vector<double> probabilities() const;
1455 param_type param() const;
1456 void param(const param_type& parm);
1458 result_type min() const;
1459 result_type max() const;
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);
1466 template <class charT, class traits>
1468 basic_ostream<charT, traits>&
1469 operator<<(basic_ostream<charT, traits>& os,
1470 const discrete_distribution& x);
1472 template <class charT, class traits>
1474 basic_istream<charT, traits>&
1475 operator>>(basic_istream<charT, traits>& is,
1476 discrete_distribution& x);
1479 template<class RealType = double>
1480 class piecewise_constant_distribution
1483 typedef RealType result_type;
1488 typedef piecewise_constant_distribution distribution_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,
1500 vector<result_type> intervals() const;
1501 vector<result_type> densities() const;
1503 friend bool operator==(const param_type& x, const param_type& y);
1504 friend bool operator!=(const param_type& x, const param_type& y);
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,
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);
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);
1526 // property functions
1527 vector<result_type> intervals() const;
1528 vector<result_type> densities() const;
1530 param_type param() const;
1531 void param(const param_type& parm);
1533 result_type min() const;
1534 result_type max() const;
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);
1541 template <class charT, class traits>
1543 basic_ostream<charT, traits>&
1544 operator<<(basic_ostream<charT, traits>& os,
1545 const piecewise_constant_distribution& x);
1547 template <class charT, class traits>
1549 basic_istream<charT, traits>&
1550 operator>>(basic_istream<charT, traits>& is,
1551 piecewise_constant_distribution& x);
1554 template<class RealType = double>
1555 class piecewise_linear_distribution
1558 typedef RealType result_type;
1563 typedef piecewise_linear_distribution distribution_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,
1575 vector<result_type> intervals() const;
1576 vector<result_type> densities() const;
1578 friend bool operator==(const param_type& x, const param_type& y);
1579 friend bool operator!=(const param_type& x, const param_type& y);
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);
1589 template<class UnaryOperation>
1590 piecewise_linear_distribution(initializer_list<result_type> bl,
1593 template<class UnaryOperation>
1594 piecewise_linear_distribution(size_t nw, result_type xmin,
1595 result_type xmax, UnaryOperation fw);
1597 explicit piecewise_linear_distribution(const param_type& parm);
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);
1604 // property functions
1605 vector<result_type> intervals() const;
1606 vector<result_type> densities() const;
1608 param_type param() const;
1609 void param(const param_type& parm);
1611 result_type min() const;
1612 result_type max() const;
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);
1619 template <class charT, class traits>
1621 basic_ostream<charT, traits>&
1622 operator<<(basic_ostream<charT, traits>& os,
1623 const piecewise_linear_distribution& x);
1625 template <class charT, class traits>
1627 basic_istream<charT, traits>&
1628 operator>>(basic_istream<charT, traits>& is,
1629 piecewise_linear_distribution& x);
1639 #include <type_traits>
1640 #include <initializer_list>
1642 #include <algorithm>
1649 #include <__undef_min_max>
1651 #if !defined(_LIBCPP_HAS_NO_PRAGMA_SYSTEM_HEADER)
1652 #pragma GCC system_header
1655 _LIBCPP_BEGIN_NAMESPACE_STD
1657 // __is_seed_sequence
1659 template <class _Sseq, class _Engine>
1660 struct __is_seed_sequence
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;
1667 // linear_congruential_engine
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)>
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>
1679 typedef unsigned long long result_type;
1680 _LIBCPP_INLINE_VISIBILITY
1681 static result_type next(result_type __x)
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;
1694 template <unsigned long long __a, unsigned long long __m>
1695 struct __lce_ta<__a, 0, __m, (unsigned long long)(~0), true>
1697 typedef unsigned long long result_type;
1698 _LIBCPP_INLINE_VISIBILITY
1699 static result_type next(result_type __x)
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;
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>
1714 typedef unsigned long long result_type;
1715 _LIBCPP_INLINE_VISIBILITY
1716 static result_type next(result_type __x)
1718 return (__a * __x + __c) % __m;
1722 template <unsigned long long __a, unsigned long long __c>
1723 struct __lce_ta<__a, __c, 0, (unsigned long long)(~0), false>
1725 typedef unsigned long long result_type;
1726 _LIBCPP_INLINE_VISIBILITY
1727 static result_type next(result_type __x)
1729 return __a * __x + __c;
1735 template <unsigned long long _Ap, unsigned long long _Cp, unsigned long long _Mp>
1736 struct __lce_ta<_Ap, _Cp, _Mp, unsigned(~0), true>
1738 typedef unsigned result_type;
1739 _LIBCPP_INLINE_VISIBILITY
1740 static result_type next(result_type __x)
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;
1756 template <unsigned long long _Ap, unsigned long long _Mp>
1757 struct __lce_ta<_Ap, 0, _Mp, unsigned(~0), true>
1759 typedef unsigned result_type;
1760 _LIBCPP_INLINE_VISIBILITY
1761 static result_type next(result_type __x)
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;
1775 template <unsigned long long _Ap, unsigned long long _Cp, unsigned long long _Mp>
1776 struct __lce_ta<_Ap, _Cp, _Mp, unsigned(~0), false>
1778 typedef unsigned result_type;
1779 _LIBCPP_INLINE_VISIBILITY
1780 static result_type next(result_type __x)
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;
1789 template <unsigned long long _Ap, unsigned long long _Cp>
1790 struct __lce_ta<_Ap, _Cp, 0, unsigned(~0), false>
1792 typedef unsigned result_type;
1793 _LIBCPP_INLINE_VISIBILITY
1794 static result_type next(result_type __x)
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;
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>
1807 typedef unsigned short result_type;
1808 _LIBCPP_INLINE_VISIBILITY
1809 static result_type next(result_type __x)
1811 return static_cast<result_type>(__lce_ta<__a, __c, __m, unsigned(~0)>::next(__x));
1815 template <class _UIntType, _UIntType __a, _UIntType __c, _UIntType __m>
1816 class _LIBCPP_TYPE_VIS_ONLY linear_congruential_engine;
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>&);
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);
1831 template <class _UIntType, _UIntType __a, _UIntType __c, _UIntType __m>
1832 class _LIBCPP_TYPE_VIS_ONLY linear_congruential_engine
1836 typedef _UIntType result_type;
1841 static _LIBCPP_CONSTEXPR const result_type _Mp = result_type(~0);
1843 static_assert(__m == 0 || __a < __m, "linear_congruential_engine invalid parameters");
1844 static_assert(__m == 0 || __c < __m, "linear_congruential_engine invalid parameters");
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");
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;
1860 // constructors and seeding functions
1861 _LIBCPP_INLINE_VISIBILITY
1862 explicit linear_congruential_engine(result_type __s = default_seed)
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)
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
1877 __is_seed_sequence<_Sseq, linear_congruential_engine>::value,
1881 {__seed(__q, integral_constant<unsigned,
1882 1 + (__m == 0 ? (sizeof(result_type) * __CHAR_BIT__ - 1)/32
1883 : (__m > 0x100000000ull))>());}
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()();}
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);}
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 ?
1910 _LIBCPP_INLINE_VISIBILITY
1911 void seed(false_type, false_type, result_type __s) {__x_ = __s % __m;}
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>);
1918 template <class _CharT, class _Traits,
1919 class _Up, _Up _Ap, _Up _Cp, _Up _Np>
1921 basic_ostream<_CharT, _Traits>&
1922 operator<<(basic_ostream<_CharT, _Traits>& __os,
1923 const linear_congruential_engine<_Up, _Ap, _Cp, _Np>&);
1925 template <class _CharT, class _Traits,
1926 class _Up, _Up _Ap, _Up _Cp, _Up _Np>
1928 basic_istream<_CharT, _Traits>&
1929 operator>>(basic_istream<_CharT, _Traits>& __is,
1930 linear_congruential_engine<_Up, _Ap, _Cp, _Np>& __x);
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;
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;
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;
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;
1949 template <class _UIntType, _UIntType __a, _UIntType __c, _UIntType __m>
1950 template<class _Sseq>
1952 linear_congruential_engine<_UIntType, __a, __c, __m>::__seed(_Sseq& __q,
1953 integral_constant<unsigned, 1>)
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;
1962 template <class _UIntType, _UIntType __a, _UIntType __c, _UIntType __m>
1963 template<class _Sseq>
1965 linear_congruential_engine<_UIntType, __a, __c, __m>::__seed(_Sseq& __q,
1966 integral_constant<unsigned, 2>)
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;
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)
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_;
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)
1995 __save_flags<_CharT, _Traits> __lx(__is);
1996 __is.flags(ios_base::dec | ios_base::skipws);
2004 typedef linear_congruential_engine<uint_fast32_t, 16807, 0, 2147483647>
2006 typedef linear_congruential_engine<uint_fast32_t, 48271, 0, 2147483647>
2008 typedef minstd_rand default_random_engine;
2009 // mersenne_twister_engine
2011 template <class _UIntType, size_t __w, size_t __n, size_t __m, size_t __r,
2012 _UIntType __a, size_t __u, _UIntType __d, size_t __s,
2013 _UIntType __b, size_t __t, _UIntType __c, size_t __l, _UIntType __f>
2014 class _LIBCPP_TYPE_VIS_ONLY mersenne_twister_engine;
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>
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);
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
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);
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);
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);
2053 template <class _UIntType, size_t __w, size_t __n, size_t __m, size_t __r,
2054 _UIntType __a, size_t __u, _UIntType __d, size_t __s,
2055 _UIntType __b, size_t __t, _UIntType __c, size_t __l, _UIntType __f>
2056 class _LIBCPP_TYPE_VIS_ONLY mersenne_twister_engine
2060 typedef _UIntType result_type;
2063 result_type __x_[__n];
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");
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");
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;
2107 // constructors and seeding functions
2108 _LIBCPP_INLINE_VISIBILITY
2109 explicit mersenne_twister_engine(result_type __sd = default_seed)
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)
2116 void seed(result_type __sd = default_seed);
2117 template<class _Sseq>
2118 _LIBCPP_INLINE_VISIBILITY
2121 __is_seed_sequence<_Sseq, mersenne_twister_engine>::value,
2125 {__seed(__q, integral_constant<unsigned, 1 + (__w - 1) / 32>());}
2127 // generating functions
2128 result_type operator()();
2129 _LIBCPP_INLINE_VISIBILITY
2130 void discard(unsigned long long __z) {for (; __z; --__z) operator()();}
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>
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);
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>
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);
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>
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);
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>
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);
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>);
2178 template <size_t __count>
2179 _LIBCPP_INLINE_VISIBILITY
2186 __lshift(result_type __x) {return (__x << __count) & _Max;}
2188 template <size_t __count>
2189 _LIBCPP_INLINE_VISIBILITY
2196 __lshift(result_type) {return result_type(0);}
2198 template <size_t __count>
2199 _LIBCPP_INLINE_VISIBILITY
2206 __rshift(result_type __x) {return __x >> __count;}
2208 template <size_t __count>
2209 _LIBCPP_INLINE_VISIBILITY
2216 __rshift(result_type) {return result_type(0);}
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;
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;
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;
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;
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;
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;
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;
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;
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;
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;
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;
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;
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;
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;
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>
2307 mersenne_twister_engine<_UIntType, __w, __n, __m, __r, __a, __u, __d, __s, __b,
2308 __t, __c, __l, __f>::seed(result_type __sd)
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;
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>
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>)
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);
2332 if ((__x_[0] & ~__mask) == 0)
2334 for (size_t __i = 1; __i < __n; ++__i)
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>
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>)
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);
2358 if ((__x_[0] & ~__mask) == 0)
2360 for (size_t __i = 1; __i < __n; ++__i)
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>
2371 mersenne_twister_engine<_UIntType, __w, __n, __m, __r, __a, __u, __d, __s, __b,
2372 __t, __c, __l, __f>::operator()()
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);
2382 __z ^= __lshift<__s>(__z) & __b;
2383 __z ^= __lshift<__t>(__z) & __c;
2384 return __z ^ __rshift<__l>(__z);
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>
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)
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)
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_))
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);
2408 if (__x.__i_ < __y.__i_)
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_))
2414 if (!_VSTD::equal(__x.__x_ + (__x.__i_ + __j), __x.__x_ + _Np,
2417 return _VSTD::equal(__x.__x_, __x.__x_ + __x.__i_,
2418 __y.__x_ + (_Np - (__x.__i_ + __j)));
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_))
2424 if (!_VSTD::equal(__y.__x_ + (__y.__i_ + __j), __y.__x_ + _Np,
2427 return _VSTD::equal(__y.__x_, __y.__x_ + __y.__i_,
2428 __x.__x_ + (_Np - (__y.__i_ + __j)));
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
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)
2441 return !(__x == __y);
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)
2453 __save_flags<_CharT, _Traits> __lx(__os);
2454 __os.flags(ios_base::dec | ios_base::left);
2455 _CharT __sp = __os.widen(' ');
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];
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)
2474 __save_flags<_CharT, _Traits> __lx(__is);
2475 __is.flags(ios_base::dec | ios_base::skipws);
2477 for (size_t __i = 0; __i < _Np; ++__i)
2481 for (size_t __i = 0; __i < _Np; ++__i)
2482 __x.__x_[__i] = __t[__i];
2488 typedef mersenne_twister_engine<uint_fast32_t, 32, 624, 397, 31,
2489 0x9908b0df, 11, 0xffffffff,
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;
2499 // subtract_with_carry_engine
2501 template<class _UIntType, size_t __w, size_t __s, size_t __r>
2502 class _LIBCPP_TYPE_VIS_ONLY subtract_with_carry_engine;
2504 template<class _UI, size_t _Wp, size_t _Sp, size_t _Rp>
2507 const subtract_with_carry_engine<_UI, _Wp, _Sp, _Rp>& __x,
2508 const subtract_with_carry_engine<_UI, _Wp, _Sp, _Rp>& __y);
2510 template<class _UI, size_t _Wp, size_t _Sp, size_t _Rp>
2511 _LIBCPP_INLINE_VISIBILITY
2514 const subtract_with_carry_engine<_UI, _Wp, _Sp, _Rp>& __x,
2515 const subtract_with_carry_engine<_UI, _Wp, _Sp, _Rp>& __y);
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);
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);
2529 template<class _UIntType, size_t __w, size_t __s, size_t __r>
2530 class _LIBCPP_TYPE_VIS_ONLY subtract_with_carry_engine
2534 typedef _UIntType result_type;
2537 result_type __x_[__r];
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");
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");
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;
2562 // constructors and seeding functions
2563 _LIBCPP_INLINE_VISIBILITY
2564 explicit subtract_with_carry_engine(result_type __sd = default_seed)
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)
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
2578 __is_seed_sequence<_Sseq, subtract_with_carry_engine>::value,
2582 {__seed(__q, integral_constant<unsigned, 1 + (__w - 1) / 32>());}
2584 // generating functions
2585 result_type operator()();
2586 _LIBCPP_INLINE_VISIBILITY
2587 void discard(unsigned long long __z) {for (; __z; --__z) operator()();}
2589 template<class _UI, size_t _Wp, size_t _Sp, size_t _Rp>
2593 const subtract_with_carry_engine<_UI, _Wp, _Sp, _Rp>& __x,
2594 const subtract_with_carry_engine<_UI, _Wp, _Sp, _Rp>& __y);
2596 template<class _UI, size_t _Wp, size_t _Sp, size_t _Rp>
2600 const subtract_with_carry_engine<_UI, _Wp, _Sp, _Rp>& __x,
2601 const subtract_with_carry_engine<_UI, _Wp, _Sp, _Rp>& __y);
2603 template <class _CharT, class _Traits,
2604 class _UI, size_t _Wp, size_t _Sp, size_t _Rp>
2606 basic_ostream<_CharT, _Traits>&
2607 operator<<(basic_ostream<_CharT, _Traits>& __os,
2608 const subtract_with_carry_engine<_UI, _Wp, _Sp, _Rp>& __x);
2610 template <class _CharT, class _Traits,
2611 class _UI, size_t _Wp, size_t _Sp, size_t _Rp>
2613 basic_istream<_CharT, _Traits>&
2614 operator>>(basic_istream<_CharT, _Traits>& __is,
2615 subtract_with_carry_engine<_UI, _Wp, _Sp, _Rp>& __x);
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>);
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;
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;
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;
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;
2640 template<class _UIntType, size_t __w, size_t __s, size_t __r>
2642 subtract_with_carry_engine<_UIntType, __w, __s, __r>::seed(result_type __sd,
2643 integral_constant<unsigned, 1>)
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;
2653 template<class _UIntType, size_t __w, size_t __s, size_t __r>
2655 subtract_with_carry_engine<_UIntType, __w, __s, __r>::seed(result_type __sd,
2656 integral_constant<unsigned, 2>)
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)
2662 result_type __e0 = __e();
2663 __x_[__i] = static_cast<result_type>(
2664 (__e0 + ((uint64_t)__e() << 32)) & _Max);
2666 __c_ = __x_[__r-1] == 0;
2670 template<class _UIntType, size_t __w, size_t __s, size_t __r>
2671 template<class _Sseq>
2673 subtract_with_carry_engine<_UIntType, __w, __s, __r>::__seed(_Sseq& __q,
2674 integral_constant<unsigned, 1>)
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;
2685 template<class _UIntType, size_t __w, size_t __s, size_t __r>
2686 template<class _Sseq>
2688 subtract_with_carry_engine<_UIntType, __w, __s, __r>::__seed(_Sseq& __q,
2689 integral_constant<unsigned, 2>)
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;
2701 template<class _UIntType, size_t __w, size_t __s, size_t __r>
2703 subtract_with_carry_engine<_UIntType, __w, __s, __r>::operator()()
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;
2710 __i_ = (__i_ + 1) % __r;
2714 template<class _UI, size_t _Wp, size_t _Sp, size_t _Rp>
2717 const subtract_with_carry_engine<_UI, _Wp, _Sp, _Rp>& __x,
2718 const subtract_with_carry_engine<_UI, _Wp, _Sp, _Rp>& __y)
2720 if (__x.__c_ != __y.__c_)
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)
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_))
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);
2734 if (__x.__i_ < __y.__i_)
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_))
2740 if (!_VSTD::equal(__x.__x_ + (__x.__i_ + __j), __x.__x_ + _Rp,
2743 return _VSTD::equal(__x.__x_, __x.__x_ + __x.__i_,
2744 __y.__x_ + (_Rp - (__x.__i_ + __j)));
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_))
2750 if (!_VSTD::equal(__y.__x_ + (__y.__i_ + __j), __y.__x_ + _Rp,
2753 return _VSTD::equal(__y.__x_, __y.__x_ + __y.__i_,
2754 __x.__x_ + (_Rp - (__y.__i_ + __j)));
2757 template<class _UI, size_t _Wp, size_t _Sp, size_t _Rp>
2758 inline _LIBCPP_INLINE_VISIBILITY
2761 const subtract_with_carry_engine<_UI, _Wp, _Sp, _Rp>& __x,
2762 const subtract_with_carry_engine<_UI, _Wp, _Sp, _Rp>& __y)
2764 return !(__x == __y);
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)
2773 __save_flags<_CharT, _Traits> __lx(__os);
2774 __os.flags(ios_base::dec | ios_base::left);
2775 _CharT __sp = __os.widen(' ');
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_;
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)
2792 __save_flags<_CharT, _Traits> __lx(__is);
2793 __is.flags(ios_base::dec | ios_base::skipws);
2795 for (size_t __i = 0; __i < _Rp+1; ++__i)
2799 for (size_t __i = 0; __i < _Rp; ++__i)
2800 __x.__x_[__i] = __t[__i];
2801 __x.__c_ = __t[_Rp];
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;
2810 // discard_block_engine
2812 template<class _Engine, size_t __p, size_t __r>
2813 class _LIBCPP_TYPE_VIS_ONLY discard_block_engine
2818 static_assert( 0 < __r, "discard_block_engine invalid parameters");
2819 static_assert(__r <= __p, "discard_block_engine invalid parameters");
2822 typedef typename _Engine::result_type result_type;
2824 // engine characteristics
2825 static _LIBCPP_CONSTEXPR const size_t block_size = __p;
2826 static _LIBCPP_CONSTEXPR const size_t used_block = __r;
2828 #ifdef _LIBCPP_HAS_NO_CONSTEXPR
2829 static const result_type _Min = _Engine::_Min;
2830 static const result_type _Max = _Engine::_Max;
2832 static _LIBCPP_CONSTEXPR const result_type _Min = _Engine::min();
2833 static _LIBCPP_CONSTEXPR const result_type _Max = _Engine::max();
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(); }
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
2868 __is_seed_sequence<_Sseq, discard_block_engine>::value,
2871 seed(_Sseq& __q) {__e_.seed(__q); __n_ = 0;}
2873 // generating functions
2874 result_type operator()();
2875 _LIBCPP_INLINE_VISIBILITY
2876 void discard(unsigned long long __z) {for (; __z; --__z) operator()();}
2878 // property functions
2879 _LIBCPP_INLINE_VISIBILITY
2880 const _Engine& base() const _NOEXCEPT {return __e_;}
2882 template<class _Eng, size_t _Pp, size_t _Rp>
2886 const discard_block_engine<_Eng, _Pp, _Rp>& __x,
2887 const discard_block_engine<_Eng, _Pp, _Rp>& __y);
2889 template<class _Eng, size_t _Pp, size_t _Rp>
2893 const discard_block_engine<_Eng, _Pp, _Rp>& __x,
2894 const discard_block_engine<_Eng, _Pp, _Rp>& __y);
2896 template <class _CharT, class _Traits,
2897 class _Eng, size_t _Pp, size_t _Rp>
2899 basic_ostream<_CharT, _Traits>&
2900 operator<<(basic_ostream<_CharT, _Traits>& __os,
2901 const discard_block_engine<_Eng, _Pp, _Rp>& __x);
2903 template <class _CharT, class _Traits,
2904 class _Eng, size_t _Pp, size_t _Rp>
2906 basic_istream<_CharT, _Traits>&
2907 operator>>(basic_istream<_CharT, _Traits>& __is,
2908 discard_block_engine<_Eng, _Pp, _Rp>& __x);
2911 template<class _Engine, size_t __p, size_t __r>
2912 _LIBCPP_CONSTEXPR const size_t discard_block_engine<_Engine, __p, __r>::block_size;
2914 template<class _Engine, size_t __p, size_t __r>
2915 _LIBCPP_CONSTEXPR const size_t discard_block_engine<_Engine, __p, __r>::used_block;
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()()
2923 __e_.discard(__p - __r);
2930 template<class _Eng, size_t _Pp, size_t _Rp>
2931 inline _LIBCPP_INLINE_VISIBILITY
2933 operator==(const discard_block_engine<_Eng, _Pp, _Rp>& __x,
2934 const discard_block_engine<_Eng, _Pp, _Rp>& __y)
2936 return __x.__n_ == __y.__n_ && __x.__e_ == __y.__e_;
2939 template<class _Eng, size_t _Pp, size_t _Rp>
2940 inline _LIBCPP_INLINE_VISIBILITY
2942 operator!=(const discard_block_engine<_Eng, _Pp, _Rp>& __x,
2943 const discard_block_engine<_Eng, _Pp, _Rp>& __y)
2945 return !(__x == __y);
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)
2954 __save_flags<_CharT, _Traits> __lx(__os);
2955 __os.flags(ios_base::dec | ios_base::left);
2956 _CharT __sp = __os.widen(' ');
2958 return __os << __x.__e_ << __sp << __x.__n_;
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)
2967 __save_flags<_CharT, _Traits> __lx(__is);
2968 __is.flags(ios_base::dec | ios_base::skipws);
2980 typedef discard_block_engine<ranlux24_base, 223, 23> ranlux24;
2981 typedef discard_block_engine<ranlux48_base, 389, 11> ranlux48;
2983 // independent_bits_engine
2985 template<class _Engine, size_t __w, class _UIntType>
2986 class _LIBCPP_TYPE_VIS_ONLY independent_bits_engine
2988 template <class _UI, _UI _R0, size_t _Wp, size_t _Mp>
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;
2996 static _LIBCPP_CONSTEXPR const size_t value = _R0 - _Y0 > _Y0 / _Np ? _Np + 1 : _Np;
3000 typedef _UIntType result_type;
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");
3009 typedef typename _Engine::result_type _Engine_result_type;
3010 typedef typename conditional
3012 sizeof(_Engine_result_type) <= sizeof(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);
3020 static _LIBCPP_CONSTEXPR const _Working_result_type _Rp = _Engine::max() - _Engine::min()
3021 + _Working_result_type(1);
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);
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");
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; }
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)
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)
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
3078 __is_seed_sequence<_Sseq, independent_bits_engine>::value,
3081 seed(_Sseq& __q) {__e_.seed(__q);}
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()();}
3089 // property functions
3090 _LIBCPP_INLINE_VISIBILITY
3091 const _Engine& base() const _NOEXCEPT {return __e_;}
3093 template<class _Eng, size_t _Wp, class _UI>
3097 const independent_bits_engine<_Eng, _Wp, _UI>& __x,
3098 const independent_bits_engine<_Eng, _Wp, _UI>& __y);
3100 template<class _Eng, size_t _Wp, class _UI>
3104 const independent_bits_engine<_Eng, _Wp, _UI>& __x,
3105 const independent_bits_engine<_Eng, _Wp, _UI>& __y);
3107 template <class _CharT, class _Traits,
3108 class _Eng, size_t _Wp, class _UI>
3110 basic_ostream<_CharT, _Traits>&
3111 operator<<(basic_ostream<_CharT, _Traits>& __os,
3112 const independent_bits_engine<_Eng, _Wp, _UI>& __x);
3114 template <class _CharT, class _Traits,
3115 class _Eng, size_t _Wp, class _UI>
3117 basic_istream<_CharT, _Traits>&
3118 operator>>(basic_istream<_CharT, _Traits>& __is,
3119 independent_bits_engine<_Eng, _Wp, _UI>& __x);
3122 result_type __eval(false_type);
3123 result_type __eval(true_type);
3125 template <size_t __count>
3126 _LIBCPP_INLINE_VISIBILITY
3133 __lshift(result_type __x) {return __x << __count;}
3135 template <size_t __count>
3136 _LIBCPP_INLINE_VISIBILITY
3143 __lshift(result_type) {return result_type(0);}
3146 template<class _Engine, size_t __w, class _UIntType>
3147 inline _LIBCPP_INLINE_VISIBILITY
3149 independent_bits_engine<_Engine, __w, _UIntType>::__eval(false_type)
3151 return static_cast<result_type>(__e_() & __mask0);
3154 template<class _Engine, size_t __w, class _UIntType>
3156 independent_bits_engine<_Engine, __w, _UIntType>::__eval(true_type)
3158 result_type _Sp = 0;
3159 for (size_t __k = 0; __k < __n0; ++__k)
3161 _Engine_result_type __u;
3164 __u = __e_() - _Engine::min();
3165 } while (__u >= __y0);
3166 _Sp = static_cast<result_type>(__lshift<__w0>(_Sp) + (__u & __mask0));
3168 for (size_t __k = __n0; __k < __n; ++__k)
3170 _Engine_result_type __u;
3173 __u = __e_() - _Engine::min();
3174 } while (__u >= __y1);
3175 _Sp = static_cast<result_type>(__lshift<__w0+1>(_Sp) + (__u & __mask1));
3180 template<class _Eng, size_t _Wp, class _UI>
3181 inline _LIBCPP_INLINE_VISIBILITY
3184 const independent_bits_engine<_Eng, _Wp, _UI>& __x,
3185 const independent_bits_engine<_Eng, _Wp, _UI>& __y)
3187 return __x.base() == __y.base();
3190 template<class _Eng, size_t _Wp, class _UI>
3191 inline _LIBCPP_INLINE_VISIBILITY
3194 const independent_bits_engine<_Eng, _Wp, _UI>& __x,
3195 const independent_bits_engine<_Eng, _Wp, _UI>& __y)
3197 return !(__x == __y);
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)
3206 return __os << __x.base();
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)
3222 // shuffle_order_engine
3224 template <uint64_t _Xp, uint64_t _Yp>
3227 static _LIBCPP_CONSTEXPR const uint64_t value = __ugcd<_Yp, _Xp % _Yp>::value;
3230 template <uint64_t _Xp>
3231 struct __ugcd<_Xp, 0>
3233 static _LIBCPP_CONSTEXPR const uint64_t value = _Xp;
3236 template <uint64_t _Np, uint64_t _Dp>
3239 static_assert(_Dp != 0, "__uratio divide by 0");
3240 static _LIBCPP_CONSTEXPR const uint64_t __gcd = __ugcd<_Np, _Dp>::value;
3242 static _LIBCPP_CONSTEXPR const uint64_t num = _Np / __gcd;
3243 static _LIBCPP_CONSTEXPR const uint64_t den = _Dp / __gcd;
3245 typedef __uratio<num, den> type;
3248 template<class _Engine, size_t __k>
3249 class _LIBCPP_TYPE_VIS_ONLY shuffle_order_engine
3251 static_assert(0 < __k, "shuffle_order_engine invalid parameters");
3254 typedef typename _Engine::result_type result_type;
3258 result_type _V_[__k];
3262 // engine characteristics
3263 static _LIBCPP_CONSTEXPR const size_t table_size = __k;
3265 #ifdef _LIBCPP_HAS_NO_CONSTEXPR
3266 static const result_type _Min = _Engine::_Min;
3267 static const result_type _Max = _Engine::_Max;
3269 static _LIBCPP_CONSTEXPR const result_type _Min = _Engine::min();
3270 static _LIBCPP_CONSTEXPR const result_type _Max = _Engine::max();
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; }
3278 static _LIBCPP_CONSTEXPR const unsigned long long _Rp = _Max - _Min + 1ull;
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
3307 __is_seed_sequence<_Sseq, shuffle_order_engine>::value,
3310 seed(_Sseq& __q) {__e_.seed(__q); __init();}
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()();}
3318 // property functions
3319 _LIBCPP_INLINE_VISIBILITY
3320 const _Engine& base() const _NOEXCEPT {return __e_;}
3323 template<class _Eng, size_t _Kp>
3327 const shuffle_order_engine<_Eng, _Kp>& __x,
3328 const shuffle_order_engine<_Eng, _Kp>& __y);
3330 template<class _Eng, size_t _Kp>
3334 const shuffle_order_engine<_Eng, _Kp>& __x,
3335 const shuffle_order_engine<_Eng, _Kp>& __y);
3337 template <class _CharT, class _Traits,
3338 class _Eng, size_t _Kp>
3340 basic_ostream<_CharT, _Traits>&
3341 operator<<(basic_ostream<_CharT, _Traits>& __os,
3342 const shuffle_order_engine<_Eng, _Kp>& __x);
3344 template <class _CharT, class _Traits,
3345 class _Eng, size_t _Kp>
3347 basic_istream<_CharT, _Traits>&
3348 operator>>(basic_istream<_CharT, _Traits>& __is,
3349 shuffle_order_engine<_Eng, _Kp>& __x);
3351 _LIBCPP_INLINE_VISIBILITY
3354 for (size_t __i = 0; __i < __k; ++__i)
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>());}
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>();}
3369 template <uint64_t _Np, uint64_t _Dp>
3370 _LIBCPP_INLINE_VISIBILITY
3373 (__uratio<_Np, _Dp>::num > 0xFFFFFFFFFFFFFFFFull / (_Max - _Min)),
3376 __eval(__uratio<_Np, _Dp>)
3377 {return __evalf<__uratio<_Np, _Dp>::num, __uratio<_Np, _Dp>::den>();}
3379 template <uint64_t _Np, uint64_t _Dp>
3380 _LIBCPP_INLINE_VISIBILITY
3383 __uratio<_Np, _Dp>::num <= 0xFFFFFFFFFFFFFFFFull / (_Max - _Min),
3386 __eval(__uratio<_Np, _Dp>)
3388 const size_t __j = static_cast<size_t>(__uratio<_Np, _Dp>::num * (_Y_ - _Min)
3389 / __uratio<_Np, _Dp>::den);
3395 template <uint64_t __n, uint64_t __d>
3396 _LIBCPP_INLINE_VISIBILITY
3397 result_type __evalf()
3399 const double _Fp = __d == 0 ?
3400 __n / (2. * 0x8000000000000000ull) :
3402 const size_t __j = static_cast<size_t>(_Fp * (_Y_ - _Min));
3409 template<class _Engine, size_t __k>
3410 _LIBCPP_CONSTEXPR const size_t shuffle_order_engine<_Engine, __k>::table_size;
3412 template<class _Eng, size_t _Kp>
3415 const shuffle_order_engine<_Eng, _Kp>& __x,
3416 const shuffle_order_engine<_Eng, _Kp>& __y)
3418 return __x._Y_ == __y._Y_ && _VSTD::equal(__x._V_, __x._V_ + _Kp, __y._V_) &&
3419 __x.__e_ == __y.__e_;
3422 template<class _Eng, size_t _Kp>
3423 inline _LIBCPP_INLINE_VISIBILITY
3426 const shuffle_order_engine<_Eng, _Kp>& __x,
3427 const shuffle_order_engine<_Eng, _Kp>& __y)
3429 return !(__x == __y);
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)
3438 __save_flags<_CharT, _Traits> __lx(__os);
3439 __os.flags(ios_base::dec | ios_base::left);
3440 _CharT __sp = __os.widen(' ');
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_;
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)
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);
3458 result_type _Vp[_Kp+1];
3460 for (size_t __i = 0; __i < _Kp+1; ++__i)
3465 for (size_t __i = 0; __i < _Kp; ++__i)
3466 __x._V_[__i] = _Vp[__i];
3472 typedef shuffle_order_engine<minstd_rand0, 256> knuth_b;
3476 class _LIBCPP_TYPE_VIS random_device
3478 #ifdef _LIBCPP_USING_DEV_RANDOM
3480 #endif // defined(_LIBCPP_USING_DEV_RANDOM)
3483 typedef unsigned result_type;
3485 // generator characteristics
3486 static _LIBCPP_CONSTEXPR const result_type _Min = 0;
3487 static _LIBCPP_CONSTEXPR const result_type _Max = 0xFFFFFFFFu;
3489 _LIBCPP_INLINE_VISIBILITY
3490 static _LIBCPP_CONSTEXPR result_type min() { return _Min;}
3491 _LIBCPP_INLINE_VISIBILITY
3492 static _LIBCPP_CONSTEXPR result_type max() { return _Max;}
3495 explicit random_device(const string& __token = "/dev/urandom");
3498 // generating functions
3499 result_type operator()();
3501 // property functions
3502 double entropy() const _NOEXCEPT;
3505 // no copy functions
3506 random_device(const random_device&); // = delete;
3507 random_device& operator=(const random_device&); // = delete;
3512 class _LIBCPP_TYPE_VIS_ONLY seed_seq
3516 typedef uint32_t result_type;
3519 vector<result_type> __v_;
3521 template<class _InputIterator>
3522 void init(_InputIterator __first, _InputIterator __last);
3525 _LIBCPP_INLINE_VISIBILITY
3526 seed_seq() _NOEXCEPT {}
3527 #ifndef _LIBCPP_HAS_NO_GENERALIZED_INITIALIZERS
3529 _LIBCPP_INLINE_VISIBILITY
3530 seed_seq(initializer_list<_Tp> __il) {init(__il.begin(), __il.end());}
3531 #endif // _LIBCPP_HAS_NO_GENERALIZED_INITIALIZERS
3533 template<class _InputIterator>
3534 _LIBCPP_INLINE_VISIBILITY
3535 seed_seq(_InputIterator __first, _InputIterator __last)
3536 {init(__first, __last);}
3538 // generating functions
3539 template<class _RandomAccessIterator>
3540 void generate(_RandomAccessIterator __first, _RandomAccessIterator __last);
3542 // property functions
3543 _LIBCPP_INLINE_VISIBILITY
3544 size_t size() const _NOEXCEPT {return __v_.size();}
3545 template<class _OutputIterator>
3546 _LIBCPP_INLINE_VISIBILITY
3547 void param(_OutputIterator __dest) const
3548 {_VSTD::copy(__v_.begin(), __v_.end(), __dest);}
3551 // no copy functions
3552 seed_seq(const seed_seq&); // = delete;
3553 void operator=(const seed_seq&); // = delete;
3555 _LIBCPP_INLINE_VISIBILITY
3556 static result_type _Tp(result_type __x) {return __x ^ (__x >> 27);}
3559 template<class _InputIterator>
3561 seed_seq::init(_InputIterator __first, _InputIterator __last)
3563 for (_InputIterator __s = __first; __s != __last; ++__s)
3564 __v_.push_back(*__s & 0xFFFFFFFF);
3567 template<class _RandomAccessIterator>
3569 seed_seq::generate(_RandomAccessIterator __first, _RandomAccessIterator __last)
3571 if (__first != __last)
3573 _VSTD::fill(__first, __last, 0x8b8b8b8b);
3574 const size_t __n = static_cast<size_t>(__last - __first);
3575 const size_t __s = __v_.size();
3576 const size_t __t = (__n >= 623) ? 11
3581 const size_t __p = (__n - __t) / 2;
3582 const size_t __q = __p + __t;
3583 const size_t __m = _VSTD::max(__s + 1, __n);
3586 result_type __r = 1664525 * _Tp(__first[0] ^ __first[__p]
3587 ^ __first[__n - 1]);
3588 __first[__p] += __r;
3590 __first[__q] += __r;
3593 for (size_t __k = 1; __k <= __s; ++__k)
3595 const size_t __kmodn = __k % __n;
3596 const size_t __kpmodn = (__k + __p) % __n;
3597 result_type __r = 1664525 * _Tp(__first[__kmodn] ^ __first[__kpmodn]
3598 ^ __first[(__k - 1) % __n]);
3599 __first[__kpmodn] += __r;
3600 __r += __kmodn + __v_[__k-1];
3601 __first[(__k + __q) % __n] += __r;
3602 __first[__kmodn] = __r;
3604 for (size_t __k = __s + 1; __k < __m; ++__k)
3606 const size_t __kmodn = __k % __n;
3607 const size_t __kpmodn = (__k + __p) % __n;
3608 result_type __r = 1664525 * _Tp(__first[__kmodn] ^ __first[__kpmodn]
3609 ^ __first[(__k - 1) % __n]);
3610 __first[__kpmodn] += __r;
3612 __first[(__k + __q) % __n] += __r;
3613 __first[__kmodn] = __r;
3615 for (size_t __k = __m; __k < __m + __n; ++__k)
3617 const size_t __kmodn = __k % __n;
3618 const size_t __kpmodn = (__k + __p) % __n;
3619 result_type __r = 1566083941 * _Tp(__first[__kmodn] +
3621 __first[(__k - 1) % __n]);
3622 __first[__kpmodn] ^= __r;
3624 __first[(__k + __q) % __n] ^= __r;
3625 __first[__kmodn] = __r;
3630 // generate_canonical
3632 template<class _RealType, size_t __bits, class _URNG>
3634 generate_canonical(_URNG& __g)
3636 const size_t _Dt = numeric_limits<_RealType>::digits;
3637 const size_t __b = _Dt < __bits ? _Dt : __bits;
3638 #ifdef _LIBCPP_HAS_NO_CONSTEXPR
3639 const size_t __logR = __log2<uint64_t, _URNG::_Max - _URNG::_Min + uint64_t(1)>::value;
3641 const size_t __logR = __log2<uint64_t, _URNG::max() - _URNG::min() + uint64_t(1)>::value;
3643 const size_t __k = __b / __logR + (__b % __logR != 0) + (__b == 0);
3644 const _RealType _Rp = _URNG::max() - _URNG::min() + _RealType(1);
3645 _RealType __base = _Rp;
3646 _RealType _Sp = __g() - _URNG::min();
3647 for (size_t __i = 1; __i < __k; ++__i, __base *= _Rp)
3648 _Sp += (__g() - _URNG::min()) * __base;
3649 return _Sp / __base;
3652 // uniform_int_distribution
3656 template <class _CharT, class _Traits, class _IT>
3657 basic_ostream<_CharT, _Traits>&
3658 operator<<(basic_ostream<_CharT, _Traits>& __os,
3659 const uniform_int_distribution<_IT>& __x)
3661 __save_flags<_CharT, _Traits> __lx(__os);
3662 __os.flags(ios_base::dec | ios_base::left);
3663 _CharT __sp = __os.widen(' ');
3665 return __os << __x.a() << __sp << __x.b();
3668 template <class _CharT, class _Traits, class _IT>
3669 basic_istream<_CharT, _Traits>&
3670 operator>>(basic_istream<_CharT, _Traits>& __is,
3671 uniform_int_distribution<_IT>& __x)
3673 typedef uniform_int_distribution<_IT> _Eng;
3674 typedef typename _Eng::result_type result_type;
3675 typedef typename _Eng::param_type param_type;
3676 __save_flags<_CharT, _Traits> __lx(__is);
3677 __is.flags(ios_base::dec | ios_base::skipws);
3682 __x.param(param_type(__a, __b));
3686 // uniform_real_distribution
3688 template<class _RealType = double>
3689 class _LIBCPP_TYPE_VIS_ONLY uniform_real_distribution
3693 typedef _RealType result_type;
3695 class _LIBCPP_TYPE_VIS_ONLY param_type
3700 typedef uniform_real_distribution distribution_type;
3702 _LIBCPP_INLINE_VISIBILITY
3703 explicit param_type(result_type __a = 0,
3704 result_type __b = 1)
3705 : __a_(__a), __b_(__b) {}
3707 _LIBCPP_INLINE_VISIBILITY
3708 result_type a() const {return __a_;}
3709 _LIBCPP_INLINE_VISIBILITY
3710 result_type b() const {return __b_;}
3712 friend _LIBCPP_INLINE_VISIBILITY
3713 bool operator==(const param_type& __x, const param_type& __y)
3714 {return __x.__a_ == __y.__a_ && __x.__b_ == __y.__b_;}
3715 friend _LIBCPP_INLINE_VISIBILITY
3716 bool operator!=(const param_type& __x, const param_type& __y)
3717 {return !(__x == __y);}
3724 // constructors and reset functions
3725 _LIBCPP_INLINE_VISIBILITY
3726 explicit uniform_real_distribution(result_type __a = 0, result_type __b = 1)
3727 : __p_(param_type(__a, __b)) {}
3728 _LIBCPP_INLINE_VISIBILITY
3729 explicit uniform_real_distribution(const param_type& __p) : __p_(__p) {}
3730 _LIBCPP_INLINE_VISIBILITY
3733 // generating functions
3734 template<class _URNG>
3735 _LIBCPP_INLINE_VISIBILITY
3736 result_type operator()(_URNG& __g)
3737 {return (*this)(__g, __p_);}
3738 template<class _URNG> result_type operator()(_URNG& __g, const param_type& __p);
3740 // property functions
3741 _LIBCPP_INLINE_VISIBILITY
3742 result_type a() const {return __p_.a();}
3743 _LIBCPP_INLINE_VISIBILITY
3744 result_type b() const {return __p_.b();}
3746 _LIBCPP_INLINE_VISIBILITY
3747 param_type param() const {return __p_;}
3748 _LIBCPP_INLINE_VISIBILITY
3749 void param(const param_type& __p) {__p_ = __p;}
3751 _LIBCPP_INLINE_VISIBILITY
3752 result_type min() const {return a();}
3753 _LIBCPP_INLINE_VISIBILITY
3754 result_type max() const {return b();}
3756 friend _LIBCPP_INLINE_VISIBILITY
3757 bool operator==(const uniform_real_distribution& __x,
3758 const uniform_real_distribution& __y)
3759 {return __x.__p_ == __y.__p_;}
3760 friend _LIBCPP_INLINE_VISIBILITY
3761 bool operator!=(const uniform_real_distribution& __x,
3762 const uniform_real_distribution& __y)
3763 {return !(__x == __y);}
3766 template<class _RealType>
3767 template<class _URNG>
3768 inline _LIBCPP_INLINE_VISIBILITY
3769 typename uniform_real_distribution<_RealType>::result_type
3770 uniform_real_distribution<_RealType>::operator()(_URNG& __g, const param_type& __p)
3772 return (__p.b() - __p.a())
3773 * _VSTD::generate_canonical<_RealType, numeric_limits<_RealType>::digits>(__g)
3777 template <class _CharT, class _Traits, class _RT>
3778 basic_ostream<_CharT, _Traits>&
3779 operator<<(basic_ostream<_CharT, _Traits>& __os,
3780 const uniform_real_distribution<_RT>& __x)
3782 __save_flags<_CharT, _Traits> __lx(__os);
3783 __os.flags(ios_base::dec | ios_base::left | ios_base::fixed |
3784 ios_base::scientific);
3785 _CharT __sp = __os.widen(' ');
3787 return __os << __x.a() << __sp << __x.b();
3790 template <class _CharT, class _Traits, class _RT>
3791 basic_istream<_CharT, _Traits>&
3792 operator>>(basic_istream<_CharT, _Traits>& __is,
3793 uniform_real_distribution<_RT>& __x)
3795 typedef uniform_real_distribution<_RT> _Eng;
3796 typedef typename _Eng::result_type result_type;
3797 typedef typename _Eng::param_type param_type;
3798 __save_flags<_CharT, _Traits> __lx(__is);
3799 __is.flags(ios_base::dec | ios_base::skipws);
3804 __x.param(param_type(__a, __b));
3808 // bernoulli_distribution
3810 class _LIBCPP_TYPE_VIS_ONLY bernoulli_distribution
3814 typedef bool result_type;
3816 class _LIBCPP_TYPE_VIS_ONLY param_type
3820 typedef bernoulli_distribution distribution_type;
3822 _LIBCPP_INLINE_VISIBILITY
3823 explicit param_type(double __p = 0.5) : __p_(__p) {}
3825 _LIBCPP_INLINE_VISIBILITY
3826 double p() const {return __p_;}
3828 friend _LIBCPP_INLINE_VISIBILITY
3829 bool operator==(const param_type& __x, const param_type& __y)
3830 {return __x.__p_ == __y.__p_;}
3831 friend _LIBCPP_INLINE_VISIBILITY
3832 bool operator!=(const param_type& __x, const param_type& __y)
3833 {return !(__x == __y);}
3840 // constructors and reset functions
3841 _LIBCPP_INLINE_VISIBILITY
3842 explicit bernoulli_distribution(double __p = 0.5)
3843 : __p_(param_type(__p)) {}
3844 _LIBCPP_INLINE_VISIBILITY
3845 explicit bernoulli_distribution(const param_type& __p) : __p_(__p) {}
3846 _LIBCPP_INLINE_VISIBILITY
3849 // generating functions
3850 template<class _URNG>
3851 _LIBCPP_INLINE_VISIBILITY
3852 result_type operator()(_URNG& __g)
3853 {return (*this)(__g, __p_);}
3854 template<class _URNG> result_type operator()(_URNG& __g, const param_type& __p);
3856 // property functions
3857 _LIBCPP_INLINE_VISIBILITY
3858 double p() const {return __p_.p();}
3860 _LIBCPP_INLINE_VISIBILITY
3861 param_type param() const {return __p_;}
3862 _LIBCPP_INLINE_VISIBILITY
3863 void param(const param_type& __p) {__p_ = __p;}
3865 _LIBCPP_INLINE_VISIBILITY
3866 result_type min() const {return false;}
3867 _LIBCPP_INLINE_VISIBILITY
3868 result_type max() const {return true;}
3870 friend _LIBCPP_INLINE_VISIBILITY
3871 bool operator==(const bernoulli_distribution& __x,
3872 const bernoulli_distribution& __y)
3873 {return __x.__p_ == __y.__p_;}
3874 friend _LIBCPP_INLINE_VISIBILITY
3875 bool operator!=(const bernoulli_distribution& __x,
3876 const bernoulli_distribution& __y)
3877 {return !(__x == __y);}
3880 template<class _URNG>
3881 inline _LIBCPP_INLINE_VISIBILITY
3882 bernoulli_distribution::result_type
3883 bernoulli_distribution::operator()(_URNG& __g, const param_type& __p)
3885 uniform_real_distribution<double> __gen;
3886 return __gen(__g) < __p.p();
3889 template <class _CharT, class _Traits>
3890 basic_ostream<_CharT, _Traits>&
3891 operator<<(basic_ostream<_CharT, _Traits>& __os, const bernoulli_distribution& __x)
3893 __save_flags<_CharT, _Traits> __lx(__os);
3894 __os.flags(ios_base::dec | ios_base::left | ios_base::fixed |
3895 ios_base::scientific);
3896 _CharT __sp = __os.widen(' ');
3898 return __os << __x.p();
3901 template <class _CharT, class _Traits>
3902 basic_istream<_CharT, _Traits>&
3903 operator>>(basic_istream<_CharT, _Traits>& __is, bernoulli_distribution& __x)
3905 typedef bernoulli_distribution _Eng;
3906 typedef typename _Eng::param_type param_type;
3907 __save_flags<_CharT, _Traits> __lx(__is);
3908 __is.flags(ios_base::dec | ios_base::skipws);
3912 __x.param(param_type(__p));
3916 // binomial_distribution
3918 template<class _IntType = int>
3919 class _LIBCPP_TYPE_VIS_ONLY binomial_distribution
3923 typedef _IntType result_type;
3925 class _LIBCPP_TYPE_VIS_ONLY param_type
3930 double __odds_ratio_;
3933 typedef binomial_distribution distribution_type;
3935 explicit param_type(result_type __t = 1, double __p = 0.5);
3937 _LIBCPP_INLINE_VISIBILITY
3938 result_type t() const {return __t_;}
3939 _LIBCPP_INLINE_VISIBILITY
3940 double p() const {return __p_;}
3942 friend _LIBCPP_INLINE_VISIBILITY
3943 bool operator==(const param_type& __x, const param_type& __y)
3944 {return __x.__t_ == __y.__t_ && __x.__p_ == __y.__p_;}
3945 friend _LIBCPP_INLINE_VISIBILITY
3946 bool operator!=(const param_type& __x, const param_type& __y)
3947 {return !(__x == __y);}
3949 friend class binomial_distribution;
3956 // constructors and reset functions
3957 _LIBCPP_INLINE_VISIBILITY
3958 explicit binomial_distribution(result_type __t = 1, double __p = 0.5)
3959 : __p_(param_type(__t, __p)) {}
3960 _LIBCPP_INLINE_VISIBILITY
3961 explicit binomial_distribution(const param_type& __p) : __p_(__p) {}
3962 _LIBCPP_INLINE_VISIBILITY
3965 // generating functions
3966 template<class _URNG>
3967 _LIBCPP_INLINE_VISIBILITY
3968 result_type operator()(_URNG& __g)
3969 {return (*this)(__g, __p_);}
3970 template<class _URNG> result_type operator()(_URNG& __g, const param_type& __p);
3972 // property functions
3973 _LIBCPP_INLINE_VISIBILITY
3974 result_type t() const {return __p_.t();}
3975 _LIBCPP_INLINE_VISIBILITY
3976 double p() const {return __p_.p();}
3978 _LIBCPP_INLINE_VISIBILITY
3979 param_type param() const {return __p_;}
3980 _LIBCPP_INLINE_VISIBILITY
3981 void param(const param_type& __p) {__p_ = __p;}
3983 _LIBCPP_INLINE_VISIBILITY
3984 result_type min() const {return 0;}
3985 _LIBCPP_INLINE_VISIBILITY
3986 result_type max() const {return t();}
3988 friend _LIBCPP_INLINE_VISIBILITY
3989 bool operator==(const binomial_distribution& __x,
3990 const binomial_distribution& __y)
3991 {return __x.__p_ == __y.__p_;}
3992 friend _LIBCPP_INLINE_VISIBILITY
3993 bool operator!=(const binomial_distribution& __x,
3994 const binomial_distribution& __y)
3995 {return !(__x == __y);}
3998 template<class _IntType>
3999 binomial_distribution<_IntType>::param_type::param_type(result_type __t, double __p)
4000 : __t_(__t), __p_(__p)
4002 if (0 < __p_ && __p_ < 1)
4004 __r0_ = static_cast<result_type>((__t_ + 1) * __p_);
4005 __pr_ = _VSTD::exp(_VSTD::lgamma(__t_ + 1.) - _VSTD::lgamma(__r0_ + 1.) -
4006 _VSTD::lgamma(__t_ - __r0_ + 1.) + __r0_ * _VSTD::log(__p_) +
4007 (__t_ - __r0_) * _VSTD::log(1 - __p_));
4008 __odds_ratio_ = __p_ / (1 - __p_);
4012 // Reference: Kemp, C.D. (1986). `A modal method for generating binomial
4013 // variables', Commun. Statist. - Theor. Meth. 15(3), 805-813.
4014 template<class _IntType>
4015 template<class _URNG>
4017 binomial_distribution<_IntType>::operator()(_URNG& __g, const param_type& __pr)
4019 if (__pr.__t_ == 0 || __pr.__p_ == 0)
4023 uniform_real_distribution<double> __gen;
4024 double __u = __gen(__g) - __pr.__pr_;
4027 double __pu = __pr.__pr_;
4029 result_type __ru = __pr.__r0_;
4030 result_type __rd = __ru;
4035 __pd *= __rd / (__pr.__odds_ratio_ * (__pr.__t_ - __rd + 1));
4043 if (__ru <= __pr.__t_)
4045 __pu *= (__pr.__t_ - __ru + 1) * __pr.__odds_ratio_ / __ru;
4053 template <class _CharT, class _Traits, class _IntType>
4054 basic_ostream<_CharT, _Traits>&
4055 operator<<(basic_ostream<_CharT, _Traits>& __os,
4056 const binomial_distribution<_IntType>& __x)
4058 __save_flags<_CharT, _Traits> __lx(__os);
4059 __os.flags(ios_base::dec | ios_base::left | ios_base::fixed |
4060 ios_base::scientific);
4061 _CharT __sp = __os.widen(' ');
4063 return __os << __x.t() << __sp << __x.p();
4066 template <class _CharT, class _Traits, class _IntType>
4067 basic_istream<_CharT, _Traits>&
4068 operator>>(basic_istream<_CharT, _Traits>& __is,
4069 binomial_distribution<_IntType>& __x)
4071 typedef binomial_distribution<_IntType> _Eng;
4072 typedef typename _Eng::result_type result_type;
4073 typedef typename _Eng::param_type param_type;
4074 __save_flags<_CharT, _Traits> __lx(__is);
4075 __is.flags(ios_base::dec | ios_base::skipws);
4080 __x.param(param_type(__t, __p));
4084 // exponential_distribution
4086 template<class _RealType = double>
4087 class _LIBCPP_TYPE_VIS_ONLY exponential_distribution
4091 typedef _RealType result_type;
4093 class _LIBCPP_TYPE_VIS_ONLY param_type
4095 result_type __lambda_;
4097 typedef exponential_distribution distribution_type;
4099 _LIBCPP_INLINE_VISIBILITY
4100 explicit param_type(result_type __lambda = 1) : __lambda_(__lambda) {}
4102 _LIBCPP_INLINE_VISIBILITY
4103 result_type lambda() const {return __lambda_;}
4105 friend _LIBCPP_INLINE_VISIBILITY
4106 bool operator==(const param_type& __x, const param_type& __y)
4107 {return __x.__lambda_ == __y.__lambda_;}
4108 friend _LIBCPP_INLINE_VISIBILITY
4109 bool operator!=(const param_type& __x, const param_type& __y)
4110 {return !(__x == __y);}
4117 // constructors and reset functions
4118 _LIBCPP_INLINE_VISIBILITY
4119 explicit exponential_distribution(result_type __lambda = 1)
4120 : __p_(param_type(__lambda)) {}
4121 _LIBCPP_INLINE_VISIBILITY
4122 explicit exponential_distribution(const param_type& __p) : __p_(__p) {}
4123 _LIBCPP_INLINE_VISIBILITY
4126 // generating functions
4127 template<class _URNG>
4128 _LIBCPP_INLINE_VISIBILITY
4129 result_type operator()(_URNG& __g)
4130 {return (*this)(__g, __p_);}
4131 template<class _URNG> result_type operator()(_URNG& __g, const param_type& __p);
4133 // property functions
4134 _LIBCPP_INLINE_VISIBILITY
4135 result_type lambda() const {return __p_.lambda();}
4137 _LIBCPP_INLINE_VISIBILITY
4138 param_type param() const {return __p_;}
4139 _LIBCPP_INLINE_VISIBILITY
4140 void param(const param_type& __p) {__p_ = __p;}
4142 _LIBCPP_INLINE_VISIBILITY
4143 result_type min() const {return 0;}
4144 _LIBCPP_INLINE_VISIBILITY
4145 result_type max() const {return numeric_limits<result_type>::infinity();}
4147 friend _LIBCPP_INLINE_VISIBILITY
4148 bool operator==(const exponential_distribution& __x,
4149 const exponential_distribution& __y)
4150 {return __x.__p_ == __y.__p_;}
4151 friend _LIBCPP_INLINE_VISIBILITY
4152 bool operator!=(const exponential_distribution& __x,
4153 const exponential_distribution& __y)
4154 {return !(__x == __y);}
4157 template <class _RealType>
4158 template<class _URNG>
4160 exponential_distribution<_RealType>::operator()(_URNG& __g, const param_type& __p)
4165 _VSTD::generate_canonical<result_type,
4166 numeric_limits<result_type>::digits>(__g)
4171 template <class _CharT, class _Traits, class _RealType>
4172 basic_ostream<_CharT, _Traits>&
4173 operator<<(basic_ostream<_CharT, _Traits>& __os,
4174 const exponential_distribution<_RealType>& __x)
4176 __save_flags<_CharT, _Traits> __lx(__os);
4177 __os.flags(ios_base::dec | ios_base::left | ios_base::fixed |
4178 ios_base::scientific);
4179 return __os << __x.lambda();
4182 template <class _CharT, class _Traits, class _RealType>
4183 basic_istream<_CharT, _Traits>&
4184 operator>>(basic_istream<_CharT, _Traits>& __is,
4185 exponential_distribution<_RealType>& __x)
4187 typedef exponential_distribution<_RealType> _Eng;
4188 typedef typename _Eng::result_type result_type;
4189 typedef typename _Eng::param_type param_type;
4190 __save_flags<_CharT, _Traits> __lx(__is);
4191 __is.flags(ios_base::dec | ios_base::skipws);
4192 result_type __lambda;
4195 __x.param(param_type(__lambda));
4199 // normal_distribution
4201 template<class _RealType = double>
4202 class _LIBCPP_TYPE_VIS_ONLY normal_distribution
4206 typedef _RealType result_type;
4208 class _LIBCPP_TYPE_VIS_ONLY param_type
4210 result_type __mean_;
4211 result_type __stddev_;
4213 typedef normal_distribution distribution_type;
4215 _LIBCPP_INLINE_VISIBILITY
4216 explicit param_type(result_type __mean = 0, result_type __stddev = 1)
4217 : __mean_(__mean), __stddev_(__stddev) {}
4219 _LIBCPP_INLINE_VISIBILITY
4220 result_type mean() const {return __mean_;}
4221 _LIBCPP_INLINE_VISIBILITY
4222 result_type stddev() const {return __stddev_;}
4224 friend _LIBCPP_INLINE_VISIBILITY
4225 bool operator==(const param_type& __x, const param_type& __y)
4226 {return __x.__mean_ == __y.__mean_ && __x.__stddev_ == __y.__stddev_;}
4227 friend _LIBCPP_INLINE_VISIBILITY
4228 bool operator!=(const param_type& __x, const param_type& __y)
4229 {return !(__x == __y);}
4238 // constructors and reset functions
4239 _LIBCPP_INLINE_VISIBILITY
4240 explicit normal_distribution(result_type __mean = 0, result_type __stddev = 1)
4241 : __p_(param_type(__mean, __stddev)), _V_hot_(false) {}
4242 _LIBCPP_INLINE_VISIBILITY
4243 explicit normal_distribution(const param_type& __p)
4244 : __p_(__p), _V_hot_(false) {}
4245 _LIBCPP_INLINE_VISIBILITY
4246 void reset() {_V_hot_ = false;}
4248 // generating functions
4249 template<class _URNG>
4250 _LIBCPP_INLINE_VISIBILITY
4251 result_type operator()(_URNG& __g)
4252 {return (*this)(__g, __p_);}
4253 template<class _URNG> result_type operator()(_URNG& __g, const param_type& __p);
4255 // property functions
4256 _LIBCPP_INLINE_VISIBILITY
4257 result_type mean() const {return __p_.mean();}
4258 _LIBCPP_INLINE_VISIBILITY
4259 result_type stddev() const {return __p_.stddev();}
4261 _LIBCPP_INLINE_VISIBILITY
4262 param_type param() const {return __p_;}
4263 _LIBCPP_INLINE_VISIBILITY
4264 void param(const param_type& __p) {__p_ = __p;}
4266 _LIBCPP_INLINE_VISIBILITY
4267 result_type min() const {return -numeric_limits<result_type>::infinity();}
4268 _LIBCPP_INLINE_VISIBILITY
4269 result_type max() const {return numeric_limits<result_type>::infinity();}
4271 friend _LIBCPP_INLINE_VISIBILITY
4272 bool operator==(const normal_distribution& __x,
4273 const normal_distribution& __y)
4274 {return __x.__p_ == __y.__p_ && __x._V_hot_ == __y._V_hot_ &&
4275 (!__x._V_hot_ || __x._V_ == __y._V_);}
4276 friend _LIBCPP_INLINE_VISIBILITY
4277 bool operator!=(const normal_distribution& __x,
4278 const normal_distribution& __y)
4279 {return !(__x == __y);}
4281 template <class _CharT, class _Traits, class _RT>
4283 basic_ostream<_CharT, _Traits>&
4284 operator<<(basic_ostream<_CharT, _Traits>& __os,
4285 const normal_distribution<_RT>& __x);
4287 template <class _CharT, class _Traits, class _RT>
4289 basic_istream<_CharT, _Traits>&
4290 operator>>(basic_istream<_CharT, _Traits>& __is,
4291 normal_distribution<_RT>& __x);
4294 template <class _RealType>
4295 template<class _URNG>
4297 normal_distribution<_RealType>::operator()(_URNG& __g, const param_type& __p)
4307 uniform_real_distribution<result_type> _Uni(-1, 1);
4315 __s = __u * __u + __v * __v;
4316 } while (__s > 1 || __s == 0);
4317 result_type _Fp = _VSTD::sqrt(-2 * _VSTD::log(__s) / __s);
4322 return _Up * __p.stddev() + __p.mean();
4325 template <class _CharT, class _Traits, class _RT>
4326 basic_ostream<_CharT, _Traits>&
4327 operator<<(basic_ostream<_CharT, _Traits>& __os,
4328 const normal_distribution<_RT>& __x)
4330 __save_flags<_CharT, _Traits> __lx(__os);
4331 __os.flags(ios_base::dec | ios_base::left | ios_base::fixed |
4332 ios_base::scientific);
4333 _CharT __sp = __os.widen(' ');
4335 __os << __x.mean() << __sp << __x.stddev() << __sp << __x._V_hot_;
4337 __os << __sp << __x._V_;
4341 template <class _CharT, class _Traits, class _RT>
4342 basic_istream<_CharT, _Traits>&
4343 operator>>(basic_istream<_CharT, _Traits>& __is,
4344 normal_distribution<_RT>& __x)
4346 typedef normal_distribution<_RT> _Eng;
4347 typedef typename _Eng::result_type result_type;
4348 typedef typename _Eng::param_type param_type;
4349 __save_flags<_CharT, _Traits> __lx(__is);
4350 __is.flags(ios_base::dec | ios_base::skipws);
4352 result_type __stddev;
4353 result_type _Vp = 0;
4354 bool _V_hot = false;
4355 __is >> __mean >> __stddev >> _V_hot;
4360 __x.param(param_type(__mean, __stddev));
4361 __x._V_hot_ = _V_hot;
4367 // lognormal_distribution
4369 template<class _RealType = double>
4370 class _LIBCPP_TYPE_VIS_ONLY lognormal_distribution
4374 typedef _RealType result_type;
4376 class _LIBCPP_TYPE_VIS_ONLY param_type
4378 normal_distribution<result_type> __nd_;
4380 typedef lognormal_distribution distribution_type;
4382 _LIBCPP_INLINE_VISIBILITY
4383 explicit param_type(result_type __m = 0, result_type __s = 1)
4384 : __nd_(__m, __s) {}
4386 _LIBCPP_INLINE_VISIBILITY
4387 result_type m() const {return __nd_.mean();}
4388 _LIBCPP_INLINE_VISIBILITY
4389 result_type s() const {return __nd_.stddev();}
4391 friend _LIBCPP_INLINE_VISIBILITY
4392 bool operator==(const param_type& __x, const param_type& __y)
4393 {return __x.__nd_ == __y.__nd_;}
4394 friend _LIBCPP_INLINE_VISIBILITY
4395 bool operator!=(const param_type& __x, const param_type& __y)
4396 {return !(__x == __y);}
4397 friend class lognormal_distribution;
4399 template <class _CharT, class _Traits, class _RT>
4401 basic_ostream<_CharT, _Traits>&
4402 operator<<(basic_ostream<_CharT, _Traits>& __os,
4403 const lognormal_distribution<_RT>& __x);
4405 template <class _CharT, class _Traits, class _RT>
4407 basic_istream<_CharT, _Traits>&
4408 operator>>(basic_istream<_CharT, _Traits>& __is,
4409 lognormal_distribution<_RT>& __x);
4416 // constructor and reset functions
4417 _LIBCPP_INLINE_VISIBILITY
4418 explicit lognormal_distribution(result_type __m = 0, result_type __s = 1)
4419 : __p_(param_type(__m, __s)) {}
4420 _LIBCPP_INLINE_VISIBILITY
4421 explicit lognormal_distribution(const param_type& __p)
4423 _LIBCPP_INLINE_VISIBILITY
4424 void reset() {__p_.__nd_.reset();}
4426 // generating functions
4427 template<class _URNG>
4428 _LIBCPP_INLINE_VISIBILITY
4429 result_type operator()(_URNG& __g)
4430 {return (*this)(__g, __p_);}
4431 template<class _URNG>
4432 _LIBCPP_INLINE_VISIBILITY
4433 result_type operator()(_URNG& __g, const param_type& __p)
4434 {return _VSTD::exp(const_cast<normal_distribution<result_type>&>(__p.__nd_)(__g));}
4436 // property functions
4437 _LIBCPP_INLINE_VISIBILITY
4438 result_type m() const {return __p_.m();}
4439 _LIBCPP_INLINE_VISIBILITY
4440 result_type s() const {return __p_.s();}
4442 _LIBCPP_INLINE_VISIBILITY
4443 param_type param() const {return __p_;}
4444 _LIBCPP_INLINE_VISIBILITY
4445 void param(const param_type& __p) {__p_ = __p;}
4447 _LIBCPP_INLINE_VISIBILITY
4448 result_type min() const {return 0;}
4449 _LIBCPP_INLINE_VISIBILITY
4450 result_type max() const {return numeric_limits<result_type>::infinity();}
4452 friend _LIBCPP_INLINE_VISIBILITY
4453 bool operator==(const lognormal_distribution& __x,
4454 const lognormal_distribution& __y)
4455 {return __x.__p_ == __y.__p_;}
4456 friend _LIBCPP_INLINE_VISIBILITY
4457 bool operator!=(const lognormal_distribution& __x,
4458 const lognormal_distribution& __y)
4459 {return !(__x == __y);}
4461 template <class _CharT, class _Traits, class _RT>
4463 basic_ostream<_CharT, _Traits>&
4464 operator<<(basic_ostream<_CharT, _Traits>& __os,
4465 const lognormal_distribution<_RT>& __x);
4467 template <class _CharT, class _Traits, class _RT>
4469 basic_istream<_CharT, _Traits>&
4470 operator>>(basic_istream<_CharT, _Traits>& __is,
4471 lognormal_distribution<_RT>& __x);
4474 template <class _CharT, class _Traits, class _RT>
4475 inline _LIBCPP_INLINE_VISIBILITY
4476 basic_ostream<_CharT, _Traits>&
4477 operator<<(basic_ostream<_CharT, _Traits>& __os,
4478 const lognormal_distribution<_RT>& __x)
4480 return __os << __x.__p_.__nd_;
4483 template <class _CharT, class _Traits, class _RT>
4484 inline _LIBCPP_INLINE_VISIBILITY
4485 basic_istream<_CharT, _Traits>&
4486 operator>>(basic_istream<_CharT, _Traits>& __is,
4487 lognormal_distribution<_RT>& __x)
4489 return __is >> __x.__p_.__nd_;
4492 // poisson_distribution
4494 template<class _IntType = int>
4495 class _LIBCPP_TYPE_VIS_ONLY poisson_distribution
4499 typedef _IntType result_type;
4501 class _LIBCPP_TYPE_VIS_ONLY param_type
4515 typedef poisson_distribution distribution_type;
4517 explicit param_type(double __mean = 1.0);
4519 _LIBCPP_INLINE_VISIBILITY
4520 double mean() const {return __mean_;}
4522 friend _LIBCPP_INLINE_VISIBILITY
4523 bool operator==(const param_type& __x, const param_type& __y)
4524 {return __x.__mean_ == __y.__mean_;}
4525 friend _LIBCPP_INLINE_VISIBILITY
4526 bool operator!=(const param_type& __x, const param_type& __y)
4527 {return !(__x == __y);}
4529 friend class poisson_distribution;
4536 // constructors and reset functions
4537 _LIBCPP_INLINE_VISIBILITY
4538 explicit poisson_distribution(double __mean = 1.0) : __p_(__mean) {}
4539 _LIBCPP_INLINE_VISIBILITY
4540 explicit poisson_distribution(const param_type& __p) : __p_(__p) {}
4541 _LIBCPP_INLINE_VISIBILITY
4544 // generating functions
4545 template<class _URNG>
4546 _LIBCPP_INLINE_VISIBILITY
4547 result_type operator()(_URNG& __g)
4548 {return (*this)(__g, __p_);}
4549 template<class _URNG> result_type operator()(_URNG& __g, const param_type& __p);
4551 // property functions
4552 _LIBCPP_INLINE_VISIBILITY
4553 double mean() const {return __p_.mean();}
4555 _LIBCPP_INLINE_VISIBILITY
4556 param_type param() const {return __p_;}
4557 _LIBCPP_INLINE_VISIBILITY
4558 void param(const param_type& __p) {__p_ = __p;}
4560 _LIBCPP_INLINE_VISIBILITY
4561 result_type min() const {return 0;}
4562 _LIBCPP_INLINE_VISIBILITY
4563 result_type max() const {return numeric_limits<result_type>::max();}
4565 friend _LIBCPP_INLINE_VISIBILITY
4566 bool operator==(const poisson_distribution& __x,
4567 const poisson_distribution& __y)
4568 {return __x.__p_ == __y.__p_;}
4569 friend _LIBCPP_INLINE_VISIBILITY
4570 bool operator!=(const poisson_distribution& __x,
4571 const poisson_distribution& __y)
4572 {return !(__x == __y);}
4575 template<class _IntType>
4576 poisson_distribution<_IntType>::param_type::param_type(double __mean)
4583 __l_ = _VSTD::exp(-__mean_);
4593 __s_ = _VSTD::sqrt(__mean_);
4594 __d_ = 6 * __mean_ * __mean_;
4595 __l_ = static_cast<result_type>(__mean_ - 1.1484);
4596 __omega_ = .3989423 / __s_;
4597 double __b1_ = .4166667E-1 / __mean_;
4598 double __b2_ = .3 * __b1_ * __b1_;
4599 __c3_ = .1428571 * __b1_ * __b2_;
4600 __c2_ = __b2_ - 15. * __c3_;
4601 __c1_ = __b1_ - 6. * __b2_ + 45. * __c3_;
4602 __c0_ = 1. - __b1_ + 3. * __b2_ - 15. * __c3_;
4603 __c_ = .1069 / __mean_;
4607 template <class _IntType>
4608 template<class _URNG>
4610 poisson_distribution<_IntType>::operator()(_URNG& __urng, const param_type& __pr)
4613 uniform_real_distribution<double> __urd;
4614 if (__pr.__mean_ < 10)
4617 for (double __p = __urd(__urng); __p > __pr.__l_; ++__x)
4618 __p *= __urd(__urng);
4623 double __g = __pr.__mean_ + __pr.__s_ * normal_distribution<double>()(__urng);
4627 __x = static_cast<result_type>(__g);
4628 if (__x >= __pr.__l_)
4630 __difmuk = __pr.__mean_ - __x;
4631 __u = __urd(__urng);
4632 if (__pr.__d_ * __u >= __difmuk * __difmuk * __difmuk)
4635 exponential_distribution<double> __edist;
4636 for (bool __using_exp_dist = false; true; __using_exp_dist = true)
4639 if (__using_exp_dist || __g < 0)
4644 __e = __edist(__urng);
4645 __u = __urd(__urng);
4647 __t = 1.8 + (__u < 0 ? -__e : __e);
4648 } while (__t <= -.6744);
4649 __x = __pr.__mean_ + __pr.__s_ * __t;
4650 __difmuk = __pr.__mean_ - __x;
4651 __using_exp_dist = true;
4657 const result_type __fac[] = {1, 1, 2, 6, 24, 120, 720, 5040,
4659 __px = -__pr.__mean_;
4660 __py = _VSTD::pow(__pr.__mean_, (double)__x) / __fac[__x];
4664 double __del = .8333333E-1 / __x;
4665 __del -= 4.8 * __del * __del * __del;
4666 double __v = __difmuk / __x;
4667 if (_VSTD::abs(__v) > 0.25)
4668 __px = __x * _VSTD::log(1 + __v) - __difmuk - __del;
4670 __px = __x * __v * __v * (((((((.1250060 * __v + -.1384794) *
4671 __v + .1421878) * __v + -.1661269) * __v + .2000118) *
4672 __v + -.2500068) * __v + .3333333) * __v + -.5) - __del;
4673 __py = .3989423 / _VSTD::sqrt(__x);
4675 double __r = (0.5 - __difmuk) / __pr.__s_;
4676 double __r2 = __r * __r;
4677 double __fx = -0.5 * __r2;
4678 double __fy = __pr.__omega_ * (((__pr.__c3_ * __r2 + __pr.__c2_) *
4679 __r2 + __pr.__c1_) * __r2 + __pr.__c0_);
4680 if (__using_exp_dist)
4682 if (__pr.__c_ * _VSTD::abs(__u) <= __py * _VSTD::exp(__px + __e) -
4683 __fy * _VSTD::exp(__fx + __e))
4688 if (__fy - __u * __fy <= __py * _VSTD::exp(__px - __fx))
4696 template <class _CharT, class _Traits, class _IntType>
4697 basic_ostream<_CharT, _Traits>&
4698 operator<<(basic_ostream<_CharT, _Traits>& __os,
4699 const poisson_distribution<_IntType>& __x)
4701 __save_flags<_CharT, _Traits> __lx(__os);
4702 __os.flags(ios_base::dec | ios_base::left | ios_base::fixed |
4703 ios_base::scientific);
4704 return __os << __x.mean();
4707 template <class _CharT, class _Traits, class _IntType>
4708 basic_istream<_CharT, _Traits>&
4709 operator>>(basic_istream<_CharT, _Traits>& __is,
4710 poisson_distribution<_IntType>& __x)
4712 typedef poisson_distribution<_IntType> _Eng;
4713 typedef typename _Eng::param_type param_type;
4714 __save_flags<_CharT, _Traits> __lx(__is);
4715 __is.flags(ios_base::dec | ios_base::skipws);
4719 __x.param(param_type(__mean));
4723 // weibull_distribution
4725 template<class _RealType = double>
4726 class _LIBCPP_TYPE_VIS_ONLY weibull_distribution
4730 typedef _RealType result_type;
4732 class _LIBCPP_TYPE_VIS_ONLY param_type
4737 typedef weibull_distribution distribution_type;
4739 _LIBCPP_INLINE_VISIBILITY
4740 explicit param_type(result_type __a = 1, result_type __b = 1)
4741 : __a_(__a), __b_(__b) {}
4743 _LIBCPP_INLINE_VISIBILITY
4744 result_type a() const {return __a_;}
4745 _LIBCPP_INLINE_VISIBILITY
4746 result_type b() const {return __b_;}
4748 friend _LIBCPP_INLINE_VISIBILITY
4749 bool operator==(const param_type& __x, const param_type& __y)
4750 {return __x.__a_ == __y.__a_ && __x.__b_ == __y.__b_;}
4751 friend _LIBCPP_INLINE_VISIBILITY
4752 bool operator!=(const param_type& __x, const param_type& __y)
4753 {return !(__x == __y);}
4760 // constructor and reset functions
4761 _LIBCPP_INLINE_VISIBILITY
4762 explicit weibull_distribution(result_type __a = 1, result_type __b = 1)
4763 : __p_(param_type(__a, __b)) {}
4764 _LIBCPP_INLINE_VISIBILITY
4765 explicit weibull_distribution(const param_type& __p)
4767 _LIBCPP_INLINE_VISIBILITY
4770 // generating functions
4771 template<class _URNG>
4772 _LIBCPP_INLINE_VISIBILITY
4773 result_type operator()(_URNG& __g)
4774 {return (*this)(__g, __p_);}
4775 template<class _URNG>
4776 _LIBCPP_INLINE_VISIBILITY
4777 result_type operator()(_URNG& __g, const param_type& __p)
4779 _VSTD::pow(exponential_distribution<result_type>()(__g), 1/__p.a());}
4781 // property functions
4782 _LIBCPP_INLINE_VISIBILITY
4783 result_type a() const {return __p_.a();}
4784 _LIBCPP_INLINE_VISIBILITY
4785 result_type b() const {return __p_.b();}
4787 _LIBCPP_INLINE_VISIBILITY
4788 param_type param() const {return __p_;}
4789 _LIBCPP_INLINE_VISIBILITY
4790 void param(const param_type& __p) {__p_ = __p;}
4792 _LIBCPP_INLINE_VISIBILITY
4793 result_type min() const {return 0;}
4794 _LIBCPP_INLINE_VISIBILITY
4795 result_type max() const {return numeric_limits<result_type>::infinity();}
4797 friend _LIBCPP_INLINE_VISIBILITY
4798 bool operator==(const weibull_distribution& __x,
4799 const weibull_distribution& __y)
4800 {return __x.__p_ == __y.__p_;}
4801 friend _LIBCPP_INLINE_VISIBILITY
4802 bool operator!=(const weibull_distribution& __x,
4803 const weibull_distribution& __y)
4804 {return !(__x == __y);}
4807 template <class _CharT, class _Traits, class _RT>
4808 basic_ostream<_CharT, _Traits>&
4809 operator<<(basic_ostream<_CharT, _Traits>& __os,
4810 const weibull_distribution<_RT>& __x)
4812 __save_flags<_CharT, _Traits> __lx(__os);
4813 __os.flags(ios_base::dec | ios_base::left | ios_base::fixed |
4814 ios_base::scientific);
4815 _CharT __sp = __os.widen(' ');
4817 __os << __x.a() << __sp << __x.b();
4821 template <class _CharT, class _Traits, class _RT>
4822 basic_istream<_CharT, _Traits>&
4823 operator>>(basic_istream<_CharT, _Traits>& __is,
4824 weibull_distribution<_RT>& __x)
4826 typedef weibull_distribution<_RT> _Eng;
4827 typedef typename _Eng::result_type result_type;
4828 typedef typename _Eng::param_type param_type;
4829 __save_flags<_CharT, _Traits> __lx(__is);
4830 __is.flags(ios_base::dec | ios_base::skipws);
4835 __x.param(param_type(__a, __b));
4839 template<class _RealType = double>
4840 class _LIBCPP_TYPE_VIS_ONLY extreme_value_distribution
4844 typedef _RealType result_type;
4846 class _LIBCPP_TYPE_VIS_ONLY param_type
4851 typedef extreme_value_distribution distribution_type;
4853 _LIBCPP_INLINE_VISIBILITY
4854 explicit param_type(result_type __a = 0, result_type __b = 1)
4855 : __a_(__a), __b_(__b) {}
4857 _LIBCPP_INLINE_VISIBILITY
4858 result_type a() const {return __a_;}
4859 _LIBCPP_INLINE_VISIBILITY
4860 result_type b() const {return __b_;}
4862 friend _LIBCPP_INLINE_VISIBILITY
4863 bool operator==(const param_type& __x, const param_type& __y)
4864 {return __x.__a_ == __y.__a_ && __x.__b_ == __y.__b_;}
4865 friend _LIBCPP_INLINE_VISIBILITY
4866 bool operator!=(const param_type& __x, const param_type& __y)
4867 {return !(__x == __y);}
4874 // constructor and reset functions
4875 _LIBCPP_INLINE_VISIBILITY
4876 explicit extreme_value_distribution(result_type __a = 0, result_type __b = 1)
4877 : __p_(param_type(__a, __b)) {}
4878 _LIBCPP_INLINE_VISIBILITY
4879 explicit extreme_value_distribution(const param_type& __p)
4881 _LIBCPP_INLINE_VISIBILITY
4884 // generating functions
4885 template<class _URNG>
4886 _LIBCPP_INLINE_VISIBILITY
4887 result_type operator()(_URNG& __g)
4888 {return (*this)(__g, __p_);}
4889 template<class _URNG> result_type operator()(_URNG& __g, const param_type& __p);
4891 // property functions
4892 _LIBCPP_INLINE_VISIBILITY
4893 result_type a() const {return __p_.a();}
4894 _LIBCPP_INLINE_VISIBILITY
4895 result_type b() const {return __p_.b();}
4897 _LIBCPP_INLINE_VISIBILITY
4898 param_type param() const {return __p_;}
4899 _LIBCPP_INLINE_VISIBILITY
4900 void param(const param_type& __p) {__p_ = __p;}
4902 _LIBCPP_INLINE_VISIBILITY
4903 result_type min() const {return -numeric_limits<result_type>::infinity();}
4904 _LIBCPP_INLINE_VISIBILITY
4905 result_type max() const {return numeric_limits<result_type>::infinity();}
4907 friend _LIBCPP_INLINE_VISIBILITY
4908 bool operator==(const extreme_value_distribution& __x,
4909 const extreme_value_distribution& __y)
4910 {return __x.__p_ == __y.__p_;}
4911 friend _LIBCPP_INLINE_VISIBILITY
4912 bool operator!=(const extreme_value_distribution& __x,
4913 const extreme_value_distribution& __y)
4914 {return !(__x == __y);}
4917 template<class _RealType>
4918 template<class _URNG>
4920 extreme_value_distribution<_RealType>::operator()(_URNG& __g, const param_type& __p)
4922 return __p.a() - __p.b() *
4923 _VSTD::log(-_VSTD::log(1-uniform_real_distribution<result_type>()(__g)));
4926 template <class _CharT, class _Traits, class _RT>
4927 basic_ostream<_CharT, _Traits>&
4928 operator<<(basic_ostream<_CharT, _Traits>& __os,
4929 const extreme_value_distribution<_RT>& __x)
4931 __save_flags<_CharT, _Traits> __lx(__os);
4932 __os.flags(ios_base::dec | ios_base::left | ios_base::fixed |
4933 ios_base::scientific);
4934 _CharT __sp = __os.widen(' ');
4936 __os << __x.a() << __sp << __x.b();
4940 template <class _CharT, class _Traits, class _RT>
4941 basic_istream<_CharT, _Traits>&
4942 operator>>(basic_istream<_CharT, _Traits>& __is,
4943 extreme_value_distribution<_RT>& __x)
4945 typedef extreme_value_distribution<_RT> _Eng;
4946 typedef typename _Eng::result_type result_type;
4947 typedef typename _Eng::param_type param_type;
4948 __save_flags<_CharT, _Traits> __lx(__is);
4949 __is.flags(ios_base::dec | ios_base::skipws);
4954 __x.param(param_type(__a, __b));
4958 // gamma_distribution
4960 template<class _RealType = double>
4961 class _LIBCPP_TYPE_VIS_ONLY gamma_distribution
4965 typedef _RealType result_type;
4967 class _LIBCPP_TYPE_VIS_ONLY param_type
4969 result_type __alpha_;
4970 result_type __beta_;
4972 typedef gamma_distribution distribution_type;
4974 _LIBCPP_INLINE_VISIBILITY
4975 explicit param_type(result_type __alpha = 1, result_type __beta = 1)
4976 : __alpha_(__alpha), __beta_(__beta) {}
4978 _LIBCPP_INLINE_VISIBILITY
4979 result_type alpha() const {return __alpha_;}
4980 _LIBCPP_INLINE_VISIBILITY
4981 result_type beta() const {return __beta_;}
4983 friend _LIBCPP_INLINE_VISIBILITY
4984 bool operator==(const param_type& __x, const param_type& __y)
4985 {return __x.__alpha_ == __y.__alpha_ && __x.__beta_ == __y.__beta_;}
4986 friend _LIBCPP_INLINE_VISIBILITY
4987 bool operator!=(const param_type& __x, const param_type& __y)
4988 {return !(__x == __y);}
4995 // constructors and reset functions
4996 _LIBCPP_INLINE_VISIBILITY
4997 explicit gamma_distribution(result_type __alpha = 1, result_type __beta = 1)
4998 : __p_(param_type(__alpha, __beta)) {}
4999 _LIBCPP_INLINE_VISIBILITY
5000 explicit gamma_distribution(const param_type& __p)
5002 _LIBCPP_INLINE_VISIBILITY
5005 // generating functions
5006 template<class _URNG>
5007 _LIBCPP_INLINE_VISIBILITY
5008 result_type operator()(_URNG& __g)
5009 {return (*this)(__g, __p_);}
5010 template<class _URNG> result_type operator()(_URNG& __g, const param_type& __p);
5012 // property functions
5013 _LIBCPP_INLINE_VISIBILITY
5014 result_type alpha() const {return __p_.alpha();}
5015 _LIBCPP_INLINE_VISIBILITY
5016 result_type beta() const {return __p_.beta();}
5018 _LIBCPP_INLINE_VISIBILITY
5019 param_type param() const {return __p_;}
5020 _LIBCPP_INLINE_VISIBILITY
5021 void param(const param_type& __p) {__p_ = __p;}
5023 _LIBCPP_INLINE_VISIBILITY
5024 result_type min() const {return 0;}
5025 _LIBCPP_INLINE_VISIBILITY
5026 result_type max() const {return numeric_limits<result_type>::infinity();}
5028 friend _LIBCPP_INLINE_VISIBILITY
5029 bool operator==(const gamma_distribution& __x,
5030 const gamma_distribution& __y)
5031 {return __x.__p_ == __y.__p_;}
5032 friend _LIBCPP_INLINE_VISIBILITY
5033 bool operator!=(const gamma_distribution& __x,
5034 const gamma_distribution& __y)
5035 {return !(__x == __y);}
5038 template <class _RealType>
5039 template<class _URNG>
5041 gamma_distribution<_RealType>::operator()(_URNG& __g, const param_type& __p)
5043 result_type __a = __p.alpha();
5044 uniform_real_distribution<result_type> __gen(0, 1);
5045 exponential_distribution<result_type> __egen;
5051 const result_type __b = __a - 1;
5052 const result_type __c = 3 * __a - result_type(0.75);
5055 const result_type __u = __gen(__g);
5056 const result_type __v = __gen(__g);
5057 const result_type __w = __u * (1 - __u);
5060 const result_type __y = _VSTD::sqrt(__c / __w) *
5061 (__u - result_type(0.5));
5065 const result_type __z = 64 * __w * __w * __w * __v * __v;
5066 if (__z <= 1 - 2 * __y * __y / __x)
5068 if (_VSTD::log(__z) <= 2 * (__b * _VSTD::log(__x / __b) - __y))
5078 const result_type __u = __gen(__g);
5079 const result_type __es = __egen(__g);
5082 __x = _VSTD::pow(__u, 1 / __a);
5088 const result_type __e = -_VSTD::log((1-__u)/__a);
5089 __x = _VSTD::pow(1 - __a + __a * __e, 1 / __a);
5090 if (__x <= __e + __es)
5095 return __x * __p.beta();
5098 template <class _CharT, class _Traits, class _RT>
5099 basic_ostream<_CharT, _Traits>&
5100 operator<<(basic_ostream<_CharT, _Traits>& __os,
5101 const gamma_distribution<_RT>& __x)
5103 __save_flags<_CharT, _Traits> __lx(__os);
5104 __os.flags(ios_base::dec | ios_base::left | ios_base::fixed |
5105 ios_base::scientific);
5106 _CharT __sp = __os.widen(' ');
5108 __os << __x.alpha() << __sp << __x.beta();
5112 template <class _CharT, class _Traits, class _RT>
5113 basic_istream<_CharT, _Traits>&
5114 operator>>(basic_istream<_CharT, _Traits>& __is,
5115 gamma_distribution<_RT>& __x)
5117 typedef gamma_distribution<_RT> _Eng;
5118 typedef typename _Eng::result_type result_type;
5119 typedef typename _Eng::param_type param_type;
5120 __save_flags<_CharT, _Traits> __lx(__is);
5121 __is.flags(ios_base::dec | ios_base::skipws);
5122 result_type __alpha;
5124 __is >> __alpha >> __beta;
5126 __x.param(param_type(__alpha, __beta));
5130 // negative_binomial_distribution
5132 template<class _IntType = int>
5133 class _LIBCPP_TYPE_VIS_ONLY negative_binomial_distribution
5137 typedef _IntType result_type;
5139 class _LIBCPP_TYPE_VIS_ONLY param_type
5144 typedef negative_binomial_distribution distribution_type;
5146 _LIBCPP_INLINE_VISIBILITY
5147 explicit param_type(result_type __k = 1, double __p = 0.5)
5148 : __k_(__k), __p_(__p) {}
5150 _LIBCPP_INLINE_VISIBILITY
5151 result_type k() const {return __k_;}
5152 _LIBCPP_INLINE_VISIBILITY
5153 double p() const {return __p_;}
5155 friend _LIBCPP_INLINE_VISIBILITY
5156 bool operator==(const param_type& __x, const param_type& __y)
5157 {return __x.__k_ == __y.__k_ && __x.__p_ == __y.__p_;}
5158 friend _LIBCPP_INLINE_VISIBILITY
5159 bool operator!=(const param_type& __x, const param_type& __y)
5160 {return !(__x == __y);}
5167 // constructor and reset functions
5168 _LIBCPP_INLINE_VISIBILITY
5169 explicit negative_binomial_distribution(result_type __k = 1, double __p = 0.5)
5171 _LIBCPP_INLINE_VISIBILITY
5172 explicit negative_binomial_distribution(const param_type& __p) : __p_(__p) {}
5173 _LIBCPP_INLINE_VISIBILITY
5176 // generating functions
5177 template<class _URNG>
5178 _LIBCPP_INLINE_VISIBILITY
5179 result_type operator()(_URNG& __g)
5180 {return (*this)(__g, __p_);}
5181 template<class _URNG> result_type operator()(_URNG& __g, const param_type& __p);
5183 // property functions
5184 _LIBCPP_INLINE_VISIBILITY
5185 result_type k() const {return __p_.k();}
5186 _LIBCPP_INLINE_VISIBILITY
5187 double p() const {return __p_.p();}
5189 _LIBCPP_INLINE_VISIBILITY
5190 param_type param() const {return __p_;}
5191 _LIBCPP_INLINE_VISIBILITY
5192 void param(const param_type& __p) {__p_ = __p;}
5194 _LIBCPP_INLINE_VISIBILITY
5195 result_type min() const {return 0;}
5196 _LIBCPP_INLINE_VISIBILITY
5197 result_type max() const {return numeric_limits<result_type>::max();}
5199 friend _LIBCPP_INLINE_VISIBILITY
5200 bool operator==(const negative_binomial_distribution& __x,
5201 const negative_binomial_distribution& __y)
5202 {return __x.__p_ == __y.__p_;}
5203 friend _LIBCPP_INLINE_VISIBILITY
5204 bool operator!=(const negative_binomial_distribution& __x,
5205 const negative_binomial_distribution& __y)
5206 {return !(__x == __y);}
5209 template <class _IntType>
5210 template<class _URNG>
5212 negative_binomial_distribution<_IntType>::operator()(_URNG& __urng, const param_type& __pr)
5214 result_type __k = __pr.k();
5215 double __p = __pr.p();
5216 if (__k <= 21 * __p)
5218 bernoulli_distribution __gen(__p);
5219 result_type __f = 0;
5220 result_type __s = 0;
5230 return poisson_distribution<result_type>(gamma_distribution<double>
5231 (__k, (1-__p)/__p)(__urng))(__urng);
5234 template <class _CharT, class _Traits, class _IntType>
5235 basic_ostream<_CharT, _Traits>&
5236 operator<<(basic_ostream<_CharT, _Traits>& __os,
5237 const negative_binomial_distribution<_IntType>& __x)
5239 __save_flags<_CharT, _Traits> __lx(__os);
5240 __os.flags(ios_base::dec | ios_base::left | ios_base::fixed |
5241 ios_base::scientific);
5242 _CharT __sp = __os.widen(' ');
5244 return __os << __x.k() << __sp << __x.p();
5247 template <class _CharT, class _Traits, class _IntType>
5248 basic_istream<_CharT, _Traits>&
5249 operator>>(basic_istream<_CharT, _Traits>& __is,
5250 negative_binomial_distribution<_IntType>& __x)
5252 typedef negative_binomial_distribution<_IntType> _Eng;
5253 typedef typename _Eng::result_type result_type;
5254 typedef typename _Eng::param_type param_type;
5255 __save_flags<_CharT, _Traits> __lx(__is);
5256 __is.flags(ios_base::dec | ios_base::skipws);
5261 __x.param(param_type(__k, __p));
5265 // geometric_distribution
5267 template<class _IntType = int>
5268 class _LIBCPP_TYPE_VIS_ONLY geometric_distribution
5272 typedef _IntType result_type;
5274 class _LIBCPP_TYPE_VIS_ONLY param_type
5278 typedef geometric_distribution distribution_type;
5280 _LIBCPP_INLINE_VISIBILITY
5281 explicit param_type(double __p = 0.5) : __p_(__p) {}
5283 _LIBCPP_INLINE_VISIBILITY
5284 double p() const {return __p_;}
5286 friend _LIBCPP_INLINE_VISIBILITY
5287 bool operator==(const param_type& __x, const param_type& __y)
5288 {return __x.__p_ == __y.__p_;}
5289 friend _LIBCPP_INLINE_VISIBILITY
5290 bool operator!=(const param_type& __x, const param_type& __y)
5291 {return !(__x == __y);}
5298 // constructors and reset functions
5299 _LIBCPP_INLINE_VISIBILITY
5300 explicit geometric_distribution(double __p = 0.5) : __p_(__p) {}
5301 _LIBCPP_INLINE_VISIBILITY
5302 explicit geometric_distribution(const param_type& __p) : __p_(__p) {}
5303 _LIBCPP_INLINE_VISIBILITY
5306 // generating functions
5307 template<class _URNG>
5308 _LIBCPP_INLINE_VISIBILITY
5309 result_type operator()(_URNG& __g)
5310 {return (*this)(__g, __p_);}
5311 template<class _URNG>
5312 _LIBCPP_INLINE_VISIBILITY
5313 result_type operator()(_URNG& __g, const param_type& __p)
5314 {return negative_binomial_distribution<result_type>(1, __p.p())(__g);}
5316 // property functions
5317 _LIBCPP_INLINE_VISIBILITY
5318 double p() const {return __p_.p();}
5320 _LIBCPP_INLINE_VISIBILITY
5321 param_type param() const {return __p_;}
5322 _LIBCPP_INLINE_VISIBILITY
5323 void param(const param_type& __p) {__p_ = __p;}
5325 _LIBCPP_INLINE_VISIBILITY
5326 result_type min() const {return 0;}
5327 _LIBCPP_INLINE_VISIBILITY
5328 result_type max() const {return numeric_limits<result_type>::max();}
5330 friend _LIBCPP_INLINE_VISIBILITY
5331 bool operator==(const geometric_distribution& __x,
5332 const geometric_distribution& __y)
5333 {return __x.__p_ == __y.__p_;}
5334 friend _LIBCPP_INLINE_VISIBILITY
5335 bool operator!=(const geometric_distribution& __x,
5336 const geometric_distribution& __y)
5337 {return !(__x == __y);}
5340 template <class _CharT, class _Traits, class _IntType>
5341 basic_ostream<_CharT, _Traits>&
5342 operator<<(basic_ostream<_CharT, _Traits>& __os,
5343 const geometric_distribution<_IntType>& __x)
5345 __save_flags<_CharT, _Traits> __lx(__os);
5346 __os.flags(ios_base::dec | ios_base::left | ios_base::fixed |
5347 ios_base::scientific);
5348 return __os << __x.p();
5351 template <class _CharT, class _Traits, class _IntType>
5352 basic_istream<_CharT, _Traits>&
5353 operator>>(basic_istream<_CharT, _Traits>& __is,
5354 geometric_distribution<_IntType>& __x)
5356 typedef geometric_distribution<_IntType> _Eng;
5357 typedef typename _Eng::param_type param_type;
5358 __save_flags<_CharT, _Traits> __lx(__is);
5359 __is.flags(ios_base::dec | ios_base::skipws);
5363 __x.param(param_type(__p));
5367 // chi_squared_distribution
5369 template<class _RealType = double>
5370 class _LIBCPP_TYPE_VIS_ONLY chi_squared_distribution
5374 typedef _RealType result_type;
5376 class _LIBCPP_TYPE_VIS_ONLY param_type
5380 typedef chi_squared_distribution distribution_type;
5382 _LIBCPP_INLINE_VISIBILITY
5383 explicit param_type(result_type __n = 1) : __n_(__n) {}
5385 _LIBCPP_INLINE_VISIBILITY
5386 result_type n() const {return __n_;}
5388 friend _LIBCPP_INLINE_VISIBILITY
5389 bool operator==(const param_type& __x, const param_type& __y)
5390 {return __x.__n_ == __y.__n_;}
5391 friend _LIBCPP_INLINE_VISIBILITY
5392 bool operator!=(const param_type& __x, const param_type& __y)
5393 {return !(__x == __y);}
5400 // constructor and reset functions
5401 _LIBCPP_INLINE_VISIBILITY
5402 explicit chi_squared_distribution(result_type __n = 1)
5403 : __p_(param_type(__n)) {}
5404 _LIBCPP_INLINE_VISIBILITY
5405 explicit chi_squared_distribution(const param_type& __p)
5407 _LIBCPP_INLINE_VISIBILITY
5410 // generating functions
5411 template<class _URNG>
5412 _LIBCPP_INLINE_VISIBILITY
5413 result_type operator()(_URNG& __g)
5414 {return (*this)(__g, __p_);}
5415 template<class _URNG>
5416 _LIBCPP_INLINE_VISIBILITY
5417 result_type operator()(_URNG& __g, const param_type& __p)
5418 {return gamma_distribution<result_type>(__p.n() / 2, 2)(__g);}
5420 // property functions
5421 _LIBCPP_INLINE_VISIBILITY
5422 result_type n() const {return __p_.n();}
5424 _LIBCPP_INLINE_VISIBILITY
5425 param_type param() const {return __p_;}
5426 _LIBCPP_INLINE_VISIBILITY
5427 void param(const param_type& __p) {__p_ = __p;}
5429 _LIBCPP_INLINE_VISIBILITY
5430 result_type min() const {return 0;}
5431 _LIBCPP_INLINE_VISIBILITY
5432 result_type max() const {return numeric_limits<result_type>::infinity();}
5434 friend _LIBCPP_INLINE_VISIBILITY
5435 bool operator==(const chi_squared_distribution& __x,
5436 const chi_squared_distribution& __y)
5437 {return __x.__p_ == __y.__p_;}
5438 friend _LIBCPP_INLINE_VISIBILITY
5439 bool operator!=(const chi_squared_distribution& __x,
5440 const chi_squared_distribution& __y)
5441 {return !(__x == __y);}
5444 template <class _CharT, class _Traits, class _RT>
5445 basic_ostream<_CharT, _Traits>&
5446 operator<<(basic_ostream<_CharT, _Traits>& __os,
5447 const chi_squared_distribution<_RT>& __x)
5449 __save_flags<_CharT, _Traits> __lx(__os);
5450 __os.flags(ios_base::dec | ios_base::left | ios_base::fixed |
5451 ios_base::scientific);
5456 template <class _CharT, class _Traits, class _RT>
5457 basic_istream<_CharT, _Traits>&
5458 operator>>(basic_istream<_CharT, _Traits>& __is,
5459 chi_squared_distribution<_RT>& __x)
5461 typedef chi_squared_distribution<_RT> _Eng;
5462 typedef typename _Eng::result_type result_type;
5463 typedef typename _Eng::param_type param_type;
5464 __save_flags<_CharT, _Traits> __lx(__is);
5465 __is.flags(ios_base::dec | ios_base::skipws);
5469 __x.param(param_type(__n));
5473 // cauchy_distribution
5475 template<class _RealType = double>
5476 class _LIBCPP_TYPE_VIS_ONLY cauchy_distribution
5480 typedef _RealType result_type;
5482 class _LIBCPP_TYPE_VIS_ONLY param_type
5487 typedef cauchy_distribution distribution_type;
5489 _LIBCPP_INLINE_VISIBILITY
5490 explicit param_type(result_type __a = 0, result_type __b = 1)
5491 : __a_(__a), __b_(__b) {}
5493 _LIBCPP_INLINE_VISIBILITY
5494 result_type a() const {return __a_;}
5495 _LIBCPP_INLINE_VISIBILITY
5496 result_type b() const {return __b_;}
5498 friend _LIBCPP_INLINE_VISIBILITY
5499 bool operator==(const param_type& __x, const param_type& __y)
5500 {return __x.__a_ == __y.__a_ && __x.__b_ == __y.__b_;}
5501 friend _LIBCPP_INLINE_VISIBILITY
5502 bool operator!=(const param_type& __x, const param_type& __y)
5503 {return !(__x == __y);}
5510 // constructor and reset functions
5511 _LIBCPP_INLINE_VISIBILITY
5512 explicit cauchy_distribution(result_type __a = 0, result_type __b = 1)
5513 : __p_(param_type(__a, __b)) {}
5514 _LIBCPP_INLINE_VISIBILITY
5515 explicit cauchy_distribution(const param_type& __p)
5517 _LIBCPP_INLINE_VISIBILITY
5520 // generating functions
5521 template<class _URNG>
5522 _LIBCPP_INLINE_VISIBILITY
5523 result_type operator()(_URNG& __g)
5524 {return (*this)(__g, __p_);}
5525 template<class _URNG> result_type operator()(_URNG& __g, const param_type& __p);
5527 // property functions
5528 _LIBCPP_INLINE_VISIBILITY
5529 result_type a() const {return __p_.a();}
5530 _LIBCPP_INLINE_VISIBILITY
5531 result_type b() const {return __p_.b();}
5533 _LIBCPP_INLINE_VISIBILITY
5534 param_type param() const {return __p_;}
5535 _LIBCPP_INLINE_VISIBILITY
5536 void param(const param_type& __p) {__p_ = __p;}
5538 _LIBCPP_INLINE_VISIBILITY
5539 result_type min() const {return -numeric_limits<result_type>::infinity();}
5540 _LIBCPP_INLINE_VISIBILITY
5541 result_type max() const {return numeric_limits<result_type>::infinity();}
5543 friend _LIBCPP_INLINE_VISIBILITY
5544 bool operator==(const cauchy_distribution& __x,
5545 const cauchy_distribution& __y)
5546 {return __x.__p_ == __y.__p_;}
5547 friend _LIBCPP_INLINE_VISIBILITY
5548 bool operator!=(const cauchy_distribution& __x,
5549 const cauchy_distribution& __y)
5550 {return !(__x == __y);}
5553 template <class _RealType>
5554 template<class _URNG>
5555 inline _LIBCPP_INLINE_VISIBILITY
5557 cauchy_distribution<_RealType>::operator()(_URNG& __g, const param_type& __p)
5559 uniform_real_distribution<result_type> __gen;
5560 // purposefully let tan arg get as close to pi/2 as it wants, tan will return a finite
5561 return __p.a() + __p.b() * _VSTD::tan(3.1415926535897932384626433832795 * __gen(__g));
5564 template <class _CharT, class _Traits, class _RT>
5565 basic_ostream<_CharT, _Traits>&
5566 operator<<(basic_ostream<_CharT, _Traits>& __os,
5567 const cauchy_distribution<_RT>& __x)
5569 __save_flags<_CharT, _Traits> __lx(__os);
5570 __os.flags(ios_base::dec | ios_base::left | ios_base::fixed |
5571 ios_base::scientific);
5572 _CharT __sp = __os.widen(' ');
5574 __os << __x.a() << __sp << __x.b();
5578 template <class _CharT, class _Traits, class _RT>
5579 basic_istream<_CharT, _Traits>&
5580 operator>>(basic_istream<_CharT, _Traits>& __is,
5581 cauchy_distribution<_RT>& __x)
5583 typedef cauchy_distribution<_RT> _Eng;
5584 typedef typename _Eng::result_type result_type;
5585 typedef typename _Eng::param_type param_type;
5586 __save_flags<_CharT, _Traits> __lx(__is);
5587 __is.flags(ios_base::dec | ios_base::skipws);
5592 __x.param(param_type(__a, __b));
5596 // fisher_f_distribution
5598 template<class _RealType = double>
5599 class _LIBCPP_TYPE_VIS_ONLY fisher_f_distribution
5603 typedef _RealType result_type;
5605 class _LIBCPP_TYPE_VIS_ONLY param_type
5610 typedef fisher_f_distribution distribution_type;
5612 _LIBCPP_INLINE_VISIBILITY
5613 explicit param_type(result_type __m = 1, result_type __n = 1)
5614 : __m_(__m), __n_(__n) {}
5616 _LIBCPP_INLINE_VISIBILITY
5617 result_type m() const {return __m_;}
5618 _LIBCPP_INLINE_VISIBILITY
5619 result_type n() const {return __n_;}
5621 friend _LIBCPP_INLINE_VISIBILITY
5622 bool operator==(const param_type& __x, const param_type& __y)
5623 {return __x.__m_ == __y.__m_ && __x.__n_ == __y.__n_;}
5624 friend _LIBCPP_INLINE_VISIBILITY
5625 bool operator!=(const param_type& __x, const param_type& __y)
5626 {return !(__x == __y);}
5633 // constructor and reset functions
5634 _LIBCPP_INLINE_VISIBILITY
5635 explicit fisher_f_distribution(result_type __m = 1, result_type __n = 1)
5636 : __p_(param_type(__m, __n)) {}
5637 _LIBCPP_INLINE_VISIBILITY
5638 explicit fisher_f_distribution(const param_type& __p)
5640 _LIBCPP_INLINE_VISIBILITY
5643 // generating functions
5644 template<class _URNG>
5645 _LIBCPP_INLINE_VISIBILITY
5646 result_type operator()(_URNG& __g)
5647 {return (*this)(__g, __p_);}
5648 template<class _URNG> result_type operator()(_URNG& __g, const param_type& __p);
5650 // property functions
5651 _LIBCPP_INLINE_VISIBILITY
5652 result_type m() const {return __p_.m();}
5653 _LIBCPP_INLINE_VISIBILITY
5654 result_type n() const {return __p_.n();}
5656 _LIBCPP_INLINE_VISIBILITY
5657 param_type param() const {return __p_;}
5658 _LIBCPP_INLINE_VISIBILITY
5659 void param(const param_type& __p) {__p_ = __p;}
5661 _LIBCPP_INLINE_VISIBILITY
5662 result_type min() const {return 0;}
5663 _LIBCPP_INLINE_VISIBILITY
5664 result_type max() const {return numeric_limits<result_type>::infinity();}
5666 friend _LIBCPP_INLINE_VISIBILITY
5667 bool operator==(const fisher_f_distribution& __x,
5668 const fisher_f_distribution& __y)
5669 {return __x.__p_ == __y.__p_;}
5670 friend _LIBCPP_INLINE_VISIBILITY
5671 bool operator!=(const fisher_f_distribution& __x,
5672 const fisher_f_distribution& __y)
5673 {return !(__x == __y);}
5676 template <class _RealType>
5677 template<class _URNG>
5679 fisher_f_distribution<_RealType>::operator()(_URNG& __g, const param_type& __p)
5681 gamma_distribution<result_type> __gdm(__p.m() * result_type(.5));
5682 gamma_distribution<result_type> __gdn(__p.n() * result_type(.5));
5683 return __p.n() * __gdm(__g) / (__p.m() * __gdn(__g));
5686 template <class _CharT, class _Traits, class _RT>
5687 basic_ostream<_CharT, _Traits>&
5688 operator<<(basic_ostream<_CharT, _Traits>& __os,
5689 const fisher_f_distribution<_RT>& __x)
5691 __save_flags<_CharT, _Traits> __lx(__os);
5692 __os.flags(ios_base::dec | ios_base::left | ios_base::fixed |
5693 ios_base::scientific);
5694 _CharT __sp = __os.widen(' ');
5696 __os << __x.m() << __sp << __x.n();
5700 template <class _CharT, class _Traits, class _RT>
5701 basic_istream<_CharT, _Traits>&
5702 operator>>(basic_istream<_CharT, _Traits>& __is,
5703 fisher_f_distribution<_RT>& __x)
5705 typedef fisher_f_distribution<_RT> _Eng;
5706 typedef typename _Eng::result_type result_type;
5707 typedef typename _Eng::param_type param_type;
5708 __save_flags<_CharT, _Traits> __lx(__is);
5709 __is.flags(ios_base::dec | ios_base::skipws);
5714 __x.param(param_type(__m, __n));
5718 // student_t_distribution
5720 template<class _RealType = double>
5721 class _LIBCPP_TYPE_VIS_ONLY student_t_distribution
5725 typedef _RealType result_type;
5727 class _LIBCPP_TYPE_VIS_ONLY param_type
5731 typedef student_t_distribution distribution_type;
5733 _LIBCPP_INLINE_VISIBILITY
5734 explicit param_type(result_type __n = 1) : __n_(__n) {}
5736 _LIBCPP_INLINE_VISIBILITY
5737 result_type n() const {return __n_;}
5739 friend _LIBCPP_INLINE_VISIBILITY
5740 bool operator==(const param_type& __x, const param_type& __y)
5741 {return __x.__n_ == __y.__n_;}
5742 friend _LIBCPP_INLINE_VISIBILITY
5743 bool operator!=(const param_type& __x, const param_type& __y)
5744 {return !(__x == __y);}
5749 normal_distribution<result_type> __nd_;
5752 // constructor and reset functions
5753 _LIBCPP_INLINE_VISIBILITY
5754 explicit student_t_distribution(result_type __n = 1)
5755 : __p_(param_type(__n)) {}
5756 _LIBCPP_INLINE_VISIBILITY
5757 explicit student_t_distribution(const param_type& __p)
5759 _LIBCPP_INLINE_VISIBILITY
5760 void reset() {__nd_.reset();}
5762 // generating functions
5763 template<class _URNG>
5764 _LIBCPP_INLINE_VISIBILITY
5765 result_type operator()(_URNG& __g)
5766 {return (*this)(__g, __p_);}
5767 template<class _URNG> result_type operator()(_URNG& __g, const param_type& __p);
5769 // property functions
5770 _LIBCPP_INLINE_VISIBILITY
5771 result_type n() const {return __p_.n();}
5773 _LIBCPP_INLINE_VISIBILITY
5774 param_type param() const {return __p_;}
5775 _LIBCPP_INLINE_VISIBILITY
5776 void param(const param_type& __p) {__p_ = __p;}
5778 _LIBCPP_INLINE_VISIBILITY
5779 result_type min() const {return -numeric_limits<result_type>::infinity();}
5780 _LIBCPP_INLINE_VISIBILITY
5781 result_type max() const {return numeric_limits<result_type>::infinity();}
5783 friend _LIBCPP_INLINE_VISIBILITY
5784 bool operator==(const student_t_distribution& __x,
5785 const student_t_distribution& __y)
5786 {return __x.__p_ == __y.__p_;}
5787 friend _LIBCPP_INLINE_VISIBILITY
5788 bool operator!=(const student_t_distribution& __x,
5789 const student_t_distribution& __y)
5790 {return !(__x == __y);}
5793 template <class _RealType>
5794 template<class _URNG>
5796 student_t_distribution<_RealType>::operator()(_URNG& __g, const param_type& __p)
5798 gamma_distribution<result_type> __gd(__p.n() * .5, 2);
5799 return __nd_(__g) * _VSTD::sqrt(__p.n()/__gd(__g));
5802 template <class _CharT, class _Traits, class _RT>
5803 basic_ostream<_CharT, _Traits>&
5804 operator<<(basic_ostream<_CharT, _Traits>& __os,
5805 const student_t_distribution<_RT>& __x)
5807 __save_flags<_CharT, _Traits> __lx(__os);
5808 __os.flags(ios_base::dec | ios_base::left | ios_base::fixed |
5809 ios_base::scientific);
5814 template <class _CharT, class _Traits, class _RT>
5815 basic_istream<_CharT, _Traits>&
5816 operator>>(basic_istream<_CharT, _Traits>& __is,
5817 student_t_distribution<_RT>& __x)
5819 typedef student_t_distribution<_RT> _Eng;
5820 typedef typename _Eng::result_type result_type;
5821 typedef typename _Eng::param_type param_type;
5822 __save_flags<_CharT, _Traits> __lx(__is);
5823 __is.flags(ios_base::dec | ios_base::skipws);
5827 __x.param(param_type(__n));
5831 // discrete_distribution
5833 template<class _IntType = int>
5834 class _LIBCPP_TYPE_VIS_ONLY discrete_distribution
5838 typedef _IntType result_type;
5840 class _LIBCPP_TYPE_VIS_ONLY param_type
5842 vector<double> __p_;
5844 typedef discrete_distribution distribution_type;
5846 _LIBCPP_INLINE_VISIBILITY
5848 template<class _InputIterator>
5849 _LIBCPP_INLINE_VISIBILITY
5850 param_type(_InputIterator __f, _InputIterator __l)
5851 : __p_(__f, __l) {__init();}
5852 #ifndef _LIBCPP_HAS_NO_GENERALIZED_INITIALIZERS
5853 _LIBCPP_INLINE_VISIBILITY
5854 param_type(initializer_list<double> __wl)
5855 : __p_(__wl.begin(), __wl.end()) {__init();}
5856 #endif // _LIBCPP_HAS_NO_GENERALIZED_INITIALIZERS
5857 template<class _UnaryOperation>
5858 param_type(size_t __nw, double __xmin, double __xmax,
5859 _UnaryOperation __fw);
5861 vector<double> probabilities() const;
5863 friend _LIBCPP_INLINE_VISIBILITY
5864 bool operator==(const param_type& __x, const param_type& __y)
5865 {return __x.__p_ == __y.__p_;}
5866 friend _LIBCPP_INLINE_VISIBILITY
5867 bool operator!=(const param_type& __x, const param_type& __y)
5868 {return !(__x == __y);}
5873 friend class discrete_distribution;
5875 template <class _CharT, class _Traits, class _IT>
5877 basic_ostream<_CharT, _Traits>&
5878 operator<<(basic_ostream<_CharT, _Traits>& __os,
5879 const discrete_distribution<_IT>& __x);
5881 template <class _CharT, class _Traits, class _IT>
5883 basic_istream<_CharT, _Traits>&
5884 operator>>(basic_istream<_CharT, _Traits>& __is,
5885 discrete_distribution<_IT>& __x);
5892 // constructor and reset functions
5893 _LIBCPP_INLINE_VISIBILITY
5894 discrete_distribution() {}
5895 template<class _InputIterator>
5896 _LIBCPP_INLINE_VISIBILITY
5897 discrete_distribution(_InputIterator __f, _InputIterator __l)
5899 #ifndef _LIBCPP_HAS_NO_GENERALIZED_INITIALIZERS
5900 _LIBCPP_INLINE_VISIBILITY
5901 discrete_distribution(initializer_list<double> __wl)
5903 #endif // _LIBCPP_HAS_NO_GENERALIZED_INITIALIZERS
5904 template<class _UnaryOperation>
5905 _LIBCPP_INLINE_VISIBILITY
5906 discrete_distribution(size_t __nw, double __xmin, double __xmax,
5907 _UnaryOperation __fw)
5908 : __p_(__nw, __xmin, __xmax, __fw) {}
5909 _LIBCPP_INLINE_VISIBILITY
5910 explicit discrete_distribution(const param_type& __p)
5912 _LIBCPP_INLINE_VISIBILITY
5915 // generating functions
5916 template<class _URNG>
5917 _LIBCPP_INLINE_VISIBILITY
5918 result_type operator()(_URNG& __g)
5919 {return (*this)(__g, __p_);}
5920 template<class _URNG> result_type operator()(_URNG& __g, const param_type& __p);
5922 // property functions
5923 _LIBCPP_INLINE_VISIBILITY
5924 vector<double> probabilities() const {return __p_.probabilities();}
5926 _LIBCPP_INLINE_VISIBILITY
5927 param_type param() const {return __p_;}
5928 _LIBCPP_INLINE_VISIBILITY
5929 void param(const param_type& __p) {__p_ = __p;}
5931 _LIBCPP_INLINE_VISIBILITY
5932 result_type min() const {return 0;}
5933 _LIBCPP_INLINE_VISIBILITY
5934 result_type max() const {return __p_.__p_.size();}
5936 friend _LIBCPP_INLINE_VISIBILITY
5937 bool operator==(const discrete_distribution& __x,
5938 const discrete_distribution& __y)
5939 {return __x.__p_ == __y.__p_;}
5940 friend _LIBCPP_INLINE_VISIBILITY
5941 bool operator!=(const discrete_distribution& __x,
5942 const discrete_distribution& __y)
5943 {return !(__x == __y);}
5945 template <class _CharT, class _Traits, class _IT>
5947 basic_ostream<_CharT, _Traits>&
5948 operator<<(basic_ostream<_CharT, _Traits>& __os,
5949 const discrete_distribution<_IT>& __x);
5951 template <class _CharT, class _Traits, class _IT>
5953 basic_istream<_CharT, _Traits>&
5954 operator>>(basic_istream<_CharT, _Traits>& __is,
5955 discrete_distribution<_IT>& __x);
5958 template<class _IntType>
5959 template<class _UnaryOperation>
5960 discrete_distribution<_IntType>::param_type::param_type(size_t __nw,
5963 _UnaryOperation __fw)
5967 __p_.reserve(__nw - 1);
5968 double __d = (__xmax - __xmin) / __nw;
5969 double __d2 = __d / 2;
5970 for (size_t __k = 0; __k < __nw; ++__k)
5971 __p_.push_back(__fw(__xmin + __k * __d + __d2));
5976 template<class _IntType>
5978 discrete_distribution<_IntType>::param_type::__init()
5982 if (__p_.size() > 1)
5984 double __s = _VSTD::accumulate(__p_.begin(), __p_.end(), 0.0);
5985 for (_VSTD::vector<double>::iterator __i = __p_.begin(), __e = __p_.end();
5988 vector<double> __t(__p_.size() - 1);
5989 _VSTD::partial_sum(__p_.begin(), __p_.end() - 1, __t.begin());
5995 __p_.shrink_to_fit();
6000 template<class _IntType>
6002 discrete_distribution<_IntType>::param_type::probabilities() const
6004 size_t __n = __p_.size();
6005 _VSTD::vector<double> __p(__n+1);
6006 _VSTD::adjacent_difference(__p_.begin(), __p_.end(), __p.begin());
6008 __p[__n] = 1 - __p_[__n-1];
6014 template<class _IntType>
6015 template<class _URNG>
6017 discrete_distribution<_IntType>::operator()(_URNG& __g, const param_type& __p)
6019 uniform_real_distribution<double> __gen;
6020 return static_cast<_IntType>(
6021 _VSTD::upper_bound(__p.__p_.begin(), __p.__p_.end(), __gen(__g)) -
6025 template <class _CharT, class _Traits, class _IT>
6026 basic_ostream<_CharT, _Traits>&
6027 operator<<(basic_ostream<_CharT, _Traits>& __os,
6028 const discrete_distribution<_IT>& __x)
6030 __save_flags<_CharT, _Traits> __lx(__os);
6031 __os.flags(ios_base::dec | ios_base::left | ios_base::fixed |
6032 ios_base::scientific);
6033 _CharT __sp = __os.widen(' ');
6035 size_t __n = __x.__p_.__p_.size();
6037 for (size_t __i = 0; __i < __n; ++__i)
6038 __os << __sp << __x.__p_.__p_[__i];
6042 template <class _CharT, class _Traits, class _IT>
6043 basic_istream<_CharT, _Traits>&
6044 operator>>(basic_istream<_CharT, _Traits>& __is,
6045 discrete_distribution<_IT>& __x)
6047 __save_flags<_CharT, _Traits> __lx(__is);
6048 __is.flags(ios_base::dec | ios_base::skipws);
6051 vector<double> __p(__n);
6052 for (size_t __i = 0; __i < __n; ++__i)
6055 swap(__x.__p_.__p_, __p);
6059 // piecewise_constant_distribution
6061 template<class _RealType = double>
6062 class _LIBCPP_TYPE_VIS_ONLY piecewise_constant_distribution
6066 typedef _RealType result_type;
6068 class _LIBCPP_TYPE_VIS_ONLY param_type
6070 vector<result_type> __b_;
6071 vector<result_type> __densities_;
6072 vector<result_type> __areas_;
6074 typedef piecewise_constant_distribution distribution_type;
6077 template<class _InputIteratorB, class _InputIteratorW>
6078 param_type(_InputIteratorB __fB, _InputIteratorB __lB,
6079 _InputIteratorW __fW);
6080 #ifndef _LIBCPP_HAS_NO_GENERALIZED_INITIALIZERS
6081 template<class _UnaryOperation>
6082 param_type(initializer_list<result_type> __bl, _UnaryOperation __fw);
6083 #endif // _LIBCPP_HAS_NO_GENERALIZED_INITIALIZERS
6084 template<class _UnaryOperation>
6085 param_type(size_t __nw, result_type __xmin, result_type __xmax,
6086 _UnaryOperation __fw);
6087 param_type & operator=(const param_type& __rhs);
6089 _LIBCPP_INLINE_VISIBILITY
6090 vector<result_type> intervals() const {return __b_;}
6091 _LIBCPP_INLINE_VISIBILITY
6092 vector<result_type> densities() const {return __densities_;}
6094 friend _LIBCPP_INLINE_VISIBILITY
6095 bool operator==(const param_type& __x, const param_type& __y)
6096 {return __x.__densities_ == __y.__densities_ && __x.__b_ == __y.__b_;}
6097 friend _LIBCPP_INLINE_VISIBILITY
6098 bool operator!=(const param_type& __x, const param_type& __y)
6099 {return !(__x == __y);}
6104 friend class piecewise_constant_distribution;
6106 template <class _CharT, class _Traits, class _RT>
6108 basic_ostream<_CharT, _Traits>&
6109 operator<<(basic_ostream<_CharT, _Traits>& __os,
6110 const piecewise_constant_distribution<_RT>& __x);
6112 template <class _CharT, class _Traits, class _RT>
6114 basic_istream<_CharT, _Traits>&
6115 operator>>(basic_istream<_CharT, _Traits>& __is,
6116 piecewise_constant_distribution<_RT>& __x);
6123 // constructor and reset functions
6124 _LIBCPP_INLINE_VISIBILITY
6125 piecewise_constant_distribution() {}
6126 template<class _InputIteratorB, class _InputIteratorW>
6127 _LIBCPP_INLINE_VISIBILITY
6128 piecewise_constant_distribution(_InputIteratorB __fB,
6129 _InputIteratorB __lB,
6130 _InputIteratorW __fW)
6131 : __p_(__fB, __lB, __fW) {}
6133 #ifndef _LIBCPP_HAS_NO_GENERALIZED_INITIALIZERS
6134 template<class _UnaryOperation>
6135 _LIBCPP_INLINE_VISIBILITY
6136 piecewise_constant_distribution(initializer_list<result_type> __bl,
6137 _UnaryOperation __fw)
6138 : __p_(__bl, __fw) {}
6139 #endif // _LIBCPP_HAS_NO_GENERALIZED_INITIALIZERS
6141 template<class _UnaryOperation>
6142 _LIBCPP_INLINE_VISIBILITY
6143 piecewise_constant_distribution(size_t __nw, result_type __xmin,
6144 result_type __xmax, _UnaryOperation __fw)
6145 : __p_(__nw, __xmin, __xmax, __fw) {}
6147 _LIBCPP_INLINE_VISIBILITY
6148 explicit piecewise_constant_distribution(const param_type& __p)
6151 _LIBCPP_INLINE_VISIBILITY
6154 // generating functions
6155 template<class _URNG>
6156 _LIBCPP_INLINE_VISIBILITY
6157 result_type operator()(_URNG& __g)
6158 {return (*this)(__g, __p_);}
6159 template<class _URNG> result_type operator()(_URNG& __g, const param_type& __p);
6161 // property functions
6162 _LIBCPP_INLINE_VISIBILITY
6163 vector<result_type> intervals() const {return __p_.intervals();}
6164 _LIBCPP_INLINE_VISIBILITY
6165 vector<result_type> densities() const {return __p_.densities();}
6167 _LIBCPP_INLINE_VISIBILITY
6168 param_type param() const {return __p_;}
6169 _LIBCPP_INLINE_VISIBILITY
6170 void param(const param_type& __p) {__p_ = __p;}
6172 _LIBCPP_INLINE_VISIBILITY
6173 result_type min() const {return __p_.__b_.front();}
6174 _LIBCPP_INLINE_VISIBILITY
6175 result_type max() const {return __p_.__b_.back();}
6177 friend _LIBCPP_INLINE_VISIBILITY
6178 bool operator==(const piecewise_constant_distribution& __x,
6179 const piecewise_constant_distribution& __y)
6180 {return __x.__p_ == __y.__p_;}
6181 friend _LIBCPP_INLINE_VISIBILITY
6182 bool operator!=(const piecewise_constant_distribution& __x,
6183 const piecewise_constant_distribution& __y)
6184 {return !(__x == __y);}
6186 template <class _CharT, class _Traits, class _RT>
6188 basic_ostream<_CharT, _Traits>&
6189 operator<<(basic_ostream<_CharT, _Traits>& __os,
6190 const piecewise_constant_distribution<_RT>& __x);
6192 template <class _CharT, class _Traits, class _RT>
6194 basic_istream<_CharT, _Traits>&
6195 operator>>(basic_istream<_CharT, _Traits>& __is,
6196 piecewise_constant_distribution<_RT>& __x);
6199 template<class _RealType>
6200 typename piecewise_constant_distribution<_RealType>::param_type &
6201 piecewise_constant_distribution<_RealType>::param_type::operator=
6202 (const param_type& __rhs)
6205 __b_.reserve (__rhs.__b_.size ());
6206 __densities_.reserve(__rhs.__densities_.size());
6207 __areas_.reserve (__rhs.__areas_.size());
6209 // These can not throw
6211 __densities_ = __rhs.__densities_;
6212 __areas_ = __rhs.__areas_;
6216 template<class _RealType>
6218 piecewise_constant_distribution<_RealType>::param_type::__init()
6220 // __densities_ contains non-normalized areas
6221 result_type __total_area = _VSTD::accumulate(__densities_.begin(),
6224 for (size_t __i = 0; __i < __densities_.size(); ++__i)
6225 __densities_[__i] /= __total_area;
6226 // __densities_ contains normalized areas
6227 __areas_.assign(__densities_.size(), result_type());
6228 _VSTD::partial_sum(__densities_.begin(), __densities_.end() - 1,
6229 __areas_.begin() + 1);
6230 // __areas_ contains partial sums of normalized areas: [0, __densities_ - 1]
6231 __densities_.back() = 1 - __areas_.back(); // correct round off error
6232 for (size_t __i = 0; __i < __densities_.size(); ++__i)
6233 __densities_[__i] /= (__b_[__i+1] - __b_[__i]);
6234 // __densities_ now contains __densities_
6237 template<class _RealType>
6238 piecewise_constant_distribution<_RealType>::param_type::param_type()
6240 __densities_(1, 1.0),
6246 template<class _RealType>
6247 template<class _InputIteratorB, class _InputIteratorW>
6248 piecewise_constant_distribution<_RealType>::param_type::param_type(
6249 _InputIteratorB __fB, _InputIteratorB __lB, _InputIteratorW __fW)
6252 if (__b_.size() < 2)
6257 __densities_.assign(1, 1.0);
6258 __areas_.assign(1, 0.0);
6262 __densities_.reserve(__b_.size() - 1);
6263 for (size_t __i = 0; __i < __b_.size() - 1; ++__i, ++__fW)
6264 __densities_.push_back(*__fW);
6269 #ifndef _LIBCPP_HAS_NO_GENERALIZED_INITIALIZERS
6271 template<class _RealType>
6272 template<class _UnaryOperation>
6273 piecewise_constant_distribution<_RealType>::param_type::param_type(
6274 initializer_list<result_type> __bl, _UnaryOperation __fw)
6275 : __b_(__bl.begin(), __bl.end())
6277 if (__b_.size() < 2)
6282 __densities_.assign(1, 1.0);
6283 __areas_.assign(1, 0.0);
6287 __densities_.reserve(__b_.size() - 1);
6288 for (size_t __i = 0; __i < __b_.size() - 1; ++__i)
6289 __densities_.push_back(__fw((__b_[__i+1] + __b_[__i])*.5));
6294 #endif // _LIBCPP_HAS_NO_GENERALIZED_INITIALIZERS
6296 template<class _RealType>
6297 template<class _UnaryOperation>
6298 piecewise_constant_distribution<_RealType>::param_type::param_type(
6299 size_t __nw, result_type __xmin, result_type __xmax, _UnaryOperation __fw)
6300 : __b_(__nw == 0 ? 2 : __nw + 1)
6302 size_t __n = __b_.size() - 1;
6303 result_type __d = (__xmax - __xmin) / __n;
6304 __densities_.reserve(__n);
6305 for (size_t __i = 0; __i < __n; ++__i)
6307 __b_[__i] = __xmin + __i * __d;
6308 __densities_.push_back(__fw(__b_[__i] + __d*.5));
6314 template<class _RealType>
6315 template<class _URNG>
6317 piecewise_constant_distribution<_RealType>::operator()(_URNG& __g, const param_type& __p)
6319 typedef uniform_real_distribution<result_type> _Gen;
6320 result_type __u = _Gen()(__g);
6321 ptrdiff_t __k = _VSTD::upper_bound(__p.__areas_.begin(), __p.__areas_.end(),
6322 __u) - __p.__areas_.begin() - 1;
6323 return (__u - __p.__areas_[__k]) / __p.__densities_[__k] + __p.__b_[__k];
6326 template <class _CharT, class _Traits, class _RT>
6327 basic_ostream<_CharT, _Traits>&
6328 operator<<(basic_ostream<_CharT, _Traits>& __os,
6329 const piecewise_constant_distribution<_RT>& __x)
6331 __save_flags<_CharT, _Traits> __lx(__os);
6332 __os.flags(ios_base::dec | ios_base::left | ios_base::fixed |
6333 ios_base::scientific);
6334 _CharT __sp = __os.widen(' ');
6336 size_t __n = __x.__p_.__b_.size();
6338 for (size_t __i = 0; __i < __n; ++__i)
6339 __os << __sp << __x.__p_.__b_[__i];
6340 __n = __x.__p_.__densities_.size();
6341 __os << __sp << __n;
6342 for (size_t __i = 0; __i < __n; ++__i)
6343 __os << __sp << __x.__p_.__densities_[__i];
6344 __n = __x.__p_.__areas_.size();
6345 __os << __sp << __n;
6346 for (size_t __i = 0; __i < __n; ++__i)
6347 __os << __sp << __x.__p_.__areas_[__i];
6351 template <class _CharT, class _Traits, class _RT>
6352 basic_istream<_CharT, _Traits>&
6353 operator>>(basic_istream<_CharT, _Traits>& __is,
6354 piecewise_constant_distribution<_RT>& __x)
6356 typedef piecewise_constant_distribution<_RT> _Eng;
6357 typedef typename _Eng::result_type result_type;
6358 __save_flags<_CharT, _Traits> __lx(__is);
6359 __is.flags(ios_base::dec | ios_base::skipws);
6362 vector<result_type> __b(__n);
6363 for (size_t __i = 0; __i < __n; ++__i)
6366 vector<result_type> __densities(__n);
6367 for (size_t __i = 0; __i < __n; ++__i)
6368 __is >> __densities[__i];
6370 vector<result_type> __areas(__n);
6371 for (size_t __i = 0; __i < __n; ++__i)
6372 __is >> __areas[__i];
6375 swap(__x.__p_.__b_, __b);
6376 swap(__x.__p_.__densities_, __densities);
6377 swap(__x.__p_.__areas_, __areas);
6382 // piecewise_linear_distribution
6384 template<class _RealType = double>
6385 class _LIBCPP_TYPE_VIS_ONLY piecewise_linear_distribution
6389 typedef _RealType result_type;
6391 class _LIBCPP_TYPE_VIS_ONLY param_type
6393 vector<result_type> __b_;
6394 vector<result_type> __densities_;
6395 vector<result_type> __areas_;
6397 typedef piecewise_linear_distribution distribution_type;
6400 template<class _InputIteratorB, class _InputIteratorW>
6401 param_type(_InputIteratorB __fB, _InputIteratorB __lB,
6402 _InputIteratorW __fW);
6403 #ifndef _LIBCPP_HAS_NO_GENERALIZED_INITIALIZERS
6404 template<class _UnaryOperation>
6405 param_type(initializer_list<result_type> __bl, _UnaryOperation __fw);
6406 #endif // _LIBCPP_HAS_NO_GENERALIZED_INITIALIZERS
6407 template<class _UnaryOperation>
6408 param_type(size_t __nw, result_type __xmin, result_type __xmax,
6409 _UnaryOperation __fw);
6410 param_type & operator=(const param_type& __rhs);
6412 _LIBCPP_INLINE_VISIBILITY
6413 vector<result_type> intervals() const {return __b_;}
6414 _LIBCPP_INLINE_VISIBILITY
6415 vector<result_type> densities() const {return __densities_;}
6417 friend _LIBCPP_INLINE_VISIBILITY
6418 bool operator==(const param_type& __x, const param_type& __y)
6419 {return __x.__densities_ == __y.__densities_ && __x.__b_ == __y.__b_;}
6420 friend _LIBCPP_INLINE_VISIBILITY
6421 bool operator!=(const param_type& __x, const param_type& __y)
6422 {return !(__x == __y);}
6427 friend class piecewise_linear_distribution;
6429 template <class _CharT, class _Traits, class _RT>
6431 basic_ostream<_CharT, _Traits>&
6432 operator<<(basic_ostream<_CharT, _Traits>& __os,
6433 const piecewise_linear_distribution<_RT>& __x);
6435 template <class _CharT, class _Traits, class _RT>
6437 basic_istream<_CharT, _Traits>&
6438 operator>>(basic_istream<_CharT, _Traits>& __is,
6439 piecewise_linear_distribution<_RT>& __x);
6446 // constructor and reset functions
6447 _LIBCPP_INLINE_VISIBILITY
6448 piecewise_linear_distribution() {}
6449 template<class _InputIteratorB, class _InputIteratorW>
6450 _LIBCPP_INLINE_VISIBILITY
6451 piecewise_linear_distribution(_InputIteratorB __fB,
6452 _InputIteratorB __lB,
6453 _InputIteratorW __fW)
6454 : __p_(__fB, __lB, __fW) {}
6456 #ifndef _LIBCPP_HAS_NO_GENERALIZED_INITIALIZERS
6457 template<class _UnaryOperation>
6458 _LIBCPP_INLINE_VISIBILITY
6459 piecewise_linear_distribution(initializer_list<result_type> __bl,
6460 _UnaryOperation __fw)
6461 : __p_(__bl, __fw) {}
6462 #endif // _LIBCPP_HAS_NO_GENERALIZED_INITIALIZERS
6464 template<class _UnaryOperation>
6465 _LIBCPP_INLINE_VISIBILITY
6466 piecewise_linear_distribution(size_t __nw, result_type __xmin,
6467 result_type __xmax, _UnaryOperation __fw)
6468 : __p_(__nw, __xmin, __xmax, __fw) {}
6470 _LIBCPP_INLINE_VISIBILITY
6471 explicit piecewise_linear_distribution(const param_type& __p)
6474 _LIBCPP_INLINE_VISIBILITY
6477 // generating functions
6478 template<class _URNG>
6479 _LIBCPP_INLINE_VISIBILITY
6480 result_type operator()(_URNG& __g)
6481 {return (*this)(__g, __p_);}
6482 template<class _URNG> result_type operator()(_URNG& __g, const param_type& __p);
6484 // property functions
6485 _LIBCPP_INLINE_VISIBILITY
6486 vector<result_type> intervals() const {return __p_.intervals();}
6487 _LIBCPP_INLINE_VISIBILITY
6488 vector<result_type> densities() const {return __p_.densities();}
6490 _LIBCPP_INLINE_VISIBILITY
6491 param_type param() const {return __p_;}
6492 _LIBCPP_INLINE_VISIBILITY
6493 void param(const param_type& __p) {__p_ = __p;}
6495 _LIBCPP_INLINE_VISIBILITY
6496 result_type min() const {return __p_.__b_.front();}
6497 _LIBCPP_INLINE_VISIBILITY
6498 result_type max() const {return __p_.__b_.back();}
6500 friend _LIBCPP_INLINE_VISIBILITY
6501 bool operator==(const piecewise_linear_distribution& __x,
6502 const piecewise_linear_distribution& __y)
6503 {return __x.__p_ == __y.__p_;}
6504 friend _LIBCPP_INLINE_VISIBILITY
6505 bool operator!=(const piecewise_linear_distribution& __x,
6506 const piecewise_linear_distribution& __y)
6507 {return !(__x == __y);}
6509 template <class _CharT, class _Traits, class _RT>
6511 basic_ostream<_CharT, _Traits>&
6512 operator<<(basic_ostream<_CharT, _Traits>& __os,
6513 const piecewise_linear_distribution<_RT>& __x);
6515 template <class _CharT, class _Traits, class _RT>
6517 basic_istream<_CharT, _Traits>&
6518 operator>>(basic_istream<_CharT, _Traits>& __is,
6519 piecewise_linear_distribution<_RT>& __x);
6522 template<class _RealType>
6523 typename piecewise_linear_distribution<_RealType>::param_type &
6524 piecewise_linear_distribution<_RealType>::param_type::operator=
6525 (const param_type& __rhs)
6528 __b_.reserve (__rhs.__b_.size ());
6529 __densities_.reserve(__rhs.__densities_.size());
6530 __areas_.reserve (__rhs.__areas_.size());
6532 // These can not throw
6534 __densities_ = __rhs.__densities_;
6535 __areas_ = __rhs.__areas_;
6540 template<class _RealType>
6542 piecewise_linear_distribution<_RealType>::param_type::__init()
6544 __areas_.assign(__densities_.size() - 1, result_type());
6545 result_type _Sp = 0;
6546 for (size_t __i = 0; __i < __areas_.size(); ++__i)
6548 __areas_[__i] = (__densities_[__i+1] + __densities_[__i]) *
6549 (__b_[__i+1] - __b_[__i]) * .5;
6550 _Sp += __areas_[__i];
6552 for (size_t __i = __areas_.size(); __i > 1;)
6555 __areas_[__i] = __areas_[__i-1] / _Sp;
6558 for (size_t __i = 1; __i < __areas_.size(); ++__i)
6559 __areas_[__i] += __areas_[__i-1];
6560 for (size_t __i = 0; __i < __densities_.size(); ++__i)
6561 __densities_[__i] /= _Sp;
6564 template<class _RealType>
6565 piecewise_linear_distribution<_RealType>::param_type::param_type()
6567 __densities_(2, 1.0),
6573 template<class _RealType>
6574 template<class _InputIteratorB, class _InputIteratorW>
6575 piecewise_linear_distribution<_RealType>::param_type::param_type(
6576 _InputIteratorB __fB, _InputIteratorB __lB, _InputIteratorW __fW)
6579 if (__b_.size() < 2)
6584 __densities_.assign(2, 1.0);
6585 __areas_.assign(1, 0.0);
6589 __densities_.reserve(__b_.size());
6590 for (size_t __i = 0; __i < __b_.size(); ++__i, ++__fW)
6591 __densities_.push_back(*__fW);
6596 #ifndef _LIBCPP_HAS_NO_GENERALIZED_INITIALIZERS
6598 template<class _RealType>
6599 template<class _UnaryOperation>
6600 piecewise_linear_distribution<_RealType>::param_type::param_type(
6601 initializer_list<result_type> __bl, _UnaryOperation __fw)
6602 : __b_(__bl.begin(), __bl.end())
6604 if (__b_.size() < 2)
6609 __densities_.assign(2, 1.0);
6610 __areas_.assign(1, 0.0);
6614 __densities_.reserve(__b_.size());
6615 for (size_t __i = 0; __i < __b_.size(); ++__i)
6616 __densities_.push_back(__fw(__b_[__i]));
6621 #endif // _LIBCPP_HAS_NO_GENERALIZED_INITIALIZERS
6623 template<class _RealType>
6624 template<class _UnaryOperation>
6625 piecewise_linear_distribution<_RealType>::param_type::param_type(
6626 size_t __nw, result_type __xmin, result_type __xmax, _UnaryOperation __fw)
6627 : __b_(__nw == 0 ? 2 : __nw + 1)
6629 size_t __n = __b_.size() - 1;
6630 result_type __d = (__xmax - __xmin) / __n;
6631 __densities_.reserve(__b_.size());
6632 for (size_t __i = 0; __i < __n; ++__i)
6634 __b_[__i] = __xmin + __i * __d;
6635 __densities_.push_back(__fw(__b_[__i]));
6638 __densities_.push_back(__fw(__b_[__n]));
6642 template<class _RealType>
6643 template<class _URNG>
6645 piecewise_linear_distribution<_RealType>::operator()(_URNG& __g, const param_type& __p)
6647 typedef uniform_real_distribution<result_type> _Gen;
6648 result_type __u = _Gen()(__g);
6649 ptrdiff_t __k = _VSTD::upper_bound(__p.__areas_.begin(), __p.__areas_.end(),
6650 __u) - __p.__areas_.begin() - 1;
6651 __u -= __p.__areas_[__k];
6652 const result_type __dk = __p.__densities_[__k];
6653 const result_type __dk1 = __p.__densities_[__k+1];
6654 const result_type __deltad = __dk1 - __dk;
6655 const result_type __bk = __p.__b_[__k];
6657 return __u / __dk + __bk;
6658 const result_type __bk1 = __p.__b_[__k+1];
6659 const result_type __deltab = __bk1 - __bk;
6660 return (__bk * __dk1 - __bk1 * __dk +
6661 _VSTD::sqrt(__deltab * (__deltab * __dk * __dk + 2 * __deltad * __u))) /
6665 template <class _CharT, class _Traits, class _RT>
6666 basic_ostream<_CharT, _Traits>&
6667 operator<<(basic_ostream<_CharT, _Traits>& __os,
6668 const piecewise_linear_distribution<_RT>& __x)
6670 __save_flags<_CharT, _Traits> __lx(__os);
6671 __os.flags(ios_base::dec | ios_base::left | ios_base::fixed |
6672 ios_base::scientific);
6673 _CharT __sp = __os.widen(' ');
6675 size_t __n = __x.__p_.__b_.size();
6677 for (size_t __i = 0; __i < __n; ++__i)
6678 __os << __sp << __x.__p_.__b_[__i];
6679 __n = __x.__p_.__densities_.size();
6680 __os << __sp << __n;
6681 for (size_t __i = 0; __i < __n; ++__i)
6682 __os << __sp << __x.__p_.__densities_[__i];
6683 __n = __x.__p_.__areas_.size();
6684 __os << __sp << __n;
6685 for (size_t __i = 0; __i < __n; ++__i)
6686 __os << __sp << __x.__p_.__areas_[__i];
6690 template <class _CharT, class _Traits, class _RT>
6691 basic_istream<_CharT, _Traits>&
6692 operator>>(basic_istream<_CharT, _Traits>& __is,
6693 piecewise_linear_distribution<_RT>& __x)
6695 typedef piecewise_linear_distribution<_RT> _Eng;
6696 typedef typename _Eng::result_type result_type;
6697 __save_flags<_CharT, _Traits> __lx(__is);
6698 __is.flags(ios_base::dec | ios_base::skipws);
6701 vector<result_type> __b(__n);
6702 for (size_t __i = 0; __i < __n; ++__i)
6705 vector<result_type> __densities(__n);
6706 for (size_t __i = 0; __i < __n; ++__i)
6707 __is >> __densities[__i];
6709 vector<result_type> __areas(__n);
6710 for (size_t __i = 0; __i < __n; ++__i)
6711 __is >> __areas[__i];
6714 swap(__x.__p_.__b_, __b);
6715 swap(__x.__p_.__densities_, __densities);
6716 swap(__x.__p_.__areas_, __areas);
6721 _LIBCPP_END_NAMESPACE_STD
6723 #endif // _LIBCPP_RANDOM