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_TEMPLATE_VIS 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_TEMPLATE_VIS 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_TEMPLATE_VIS 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_TEMPLATE_VIS 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_TEMPLATE_VIS 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_TEMPLATE_VIS 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_TEMPLATE_VIS discard_block_engine
2818 static_assert( 0 < __r, "discard_block_engine invalid parameters");
2819 static_assert(__r <= __p, "discard_block_engine invalid parameters");
2820 static_assert(__r <= INT_MAX, "discard_block_engine invalid parameters");
2823 typedef typename _Engine::result_type result_type;
2825 // engine characteristics
2826 static _LIBCPP_CONSTEXPR const size_t block_size = __p;
2827 static _LIBCPP_CONSTEXPR const size_t used_block = __r;
2829 #ifdef _LIBCPP_CXX03_LANG
2830 static const result_type _Min = _Engine::_Min;
2831 static const result_type _Max = _Engine::_Max;
2833 static _LIBCPP_CONSTEXPR const result_type _Min = _Engine::min();
2834 static _LIBCPP_CONSTEXPR const result_type _Max = _Engine::max();
2837 _LIBCPP_INLINE_VISIBILITY
2838 static _LIBCPP_CONSTEXPR result_type min() { return _Engine::min(); }
2839 _LIBCPP_INLINE_VISIBILITY
2840 static _LIBCPP_CONSTEXPR result_type max() { return _Engine::max(); }
2842 // constructors and seeding functions
2843 _LIBCPP_INLINE_VISIBILITY
2844 discard_block_engine() : __n_(0) {}
2845 _LIBCPP_INLINE_VISIBILITY
2846 explicit discard_block_engine(const _Engine& __e)
2847 : __e_(__e), __n_(0) {}
2848 #ifndef _LIBCPP_CXX03_LANG
2849 _LIBCPP_INLINE_VISIBILITY
2850 explicit discard_block_engine(_Engine&& __e)
2851 : __e_(_VSTD::move(__e)), __n_(0) {}
2852 #endif // _LIBCPP_CXX03_LANG
2853 _LIBCPP_INLINE_VISIBILITY
2854 explicit discard_block_engine(result_type __sd) : __e_(__sd), __n_(0) {}
2855 template<class _Sseq>
2856 _LIBCPP_INLINE_VISIBILITY
2857 explicit discard_block_engine(_Sseq& __q,
2858 typename enable_if<__is_seed_sequence<_Sseq, discard_block_engine>::value &&
2859 !is_convertible<_Sseq, _Engine>::value>::type* = 0)
2860 : __e_(__q), __n_(0) {}
2861 _LIBCPP_INLINE_VISIBILITY
2862 void seed() {__e_.seed(); __n_ = 0;}
2863 _LIBCPP_INLINE_VISIBILITY
2864 void seed(result_type __sd) {__e_.seed(__sd); __n_ = 0;}
2865 template<class _Sseq>
2866 _LIBCPP_INLINE_VISIBILITY
2869 __is_seed_sequence<_Sseq, discard_block_engine>::value,
2872 seed(_Sseq& __q) {__e_.seed(__q); __n_ = 0;}
2874 // generating functions
2875 result_type operator()();
2876 _LIBCPP_INLINE_VISIBILITY
2877 void discard(unsigned long long __z) {for (; __z; --__z) operator()();}
2879 // property functions
2880 _LIBCPP_INLINE_VISIBILITY
2881 const _Engine& base() const _NOEXCEPT {return __e_;}
2883 template<class _Eng, size_t _Pp, size_t _Rp>
2887 const discard_block_engine<_Eng, _Pp, _Rp>& __x,
2888 const discard_block_engine<_Eng, _Pp, _Rp>& __y);
2890 template<class _Eng, size_t _Pp, size_t _Rp>
2894 const discard_block_engine<_Eng, _Pp, _Rp>& __x,
2895 const discard_block_engine<_Eng, _Pp, _Rp>& __y);
2897 template <class _CharT, class _Traits,
2898 class _Eng, size_t _Pp, size_t _Rp>
2900 basic_ostream<_CharT, _Traits>&
2901 operator<<(basic_ostream<_CharT, _Traits>& __os,
2902 const discard_block_engine<_Eng, _Pp, _Rp>& __x);
2904 template <class _CharT, class _Traits,
2905 class _Eng, size_t _Pp, size_t _Rp>
2907 basic_istream<_CharT, _Traits>&
2908 operator>>(basic_istream<_CharT, _Traits>& __is,
2909 discard_block_engine<_Eng, _Pp, _Rp>& __x);
2912 template<class _Engine, size_t __p, size_t __r>
2913 _LIBCPP_CONSTEXPR const size_t discard_block_engine<_Engine, __p, __r>::block_size;
2915 template<class _Engine, size_t __p, size_t __r>
2916 _LIBCPP_CONSTEXPR const size_t discard_block_engine<_Engine, __p, __r>::used_block;
2918 template<class _Engine, size_t __p, size_t __r>
2919 typename discard_block_engine<_Engine, __p, __r>::result_type
2920 discard_block_engine<_Engine, __p, __r>::operator()()
2922 if (__n_ >= static_cast<int>(__r))
2924 __e_.discard(__p - __r);
2931 template<class _Eng, size_t _Pp, size_t _Rp>
2932 inline _LIBCPP_INLINE_VISIBILITY
2934 operator==(const discard_block_engine<_Eng, _Pp, _Rp>& __x,
2935 const discard_block_engine<_Eng, _Pp, _Rp>& __y)
2937 return __x.__n_ == __y.__n_ && __x.__e_ == __y.__e_;
2940 template<class _Eng, size_t _Pp, size_t _Rp>
2941 inline _LIBCPP_INLINE_VISIBILITY
2943 operator!=(const discard_block_engine<_Eng, _Pp, _Rp>& __x,
2944 const discard_block_engine<_Eng, _Pp, _Rp>& __y)
2946 return !(__x == __y);
2949 template <class _CharT, class _Traits,
2950 class _Eng, size_t _Pp, size_t _Rp>
2951 basic_ostream<_CharT, _Traits>&
2952 operator<<(basic_ostream<_CharT, _Traits>& __os,
2953 const discard_block_engine<_Eng, _Pp, _Rp>& __x)
2955 __save_flags<_CharT, _Traits> __lx(__os);
2956 __os.flags(ios_base::dec | ios_base::left);
2957 _CharT __sp = __os.widen(' ');
2959 return __os << __x.__e_ << __sp << __x.__n_;
2962 template <class _CharT, class _Traits,
2963 class _Eng, size_t _Pp, size_t _Rp>
2964 basic_istream<_CharT, _Traits>&
2965 operator>>(basic_istream<_CharT, _Traits>& __is,
2966 discard_block_engine<_Eng, _Pp, _Rp>& __x)
2968 __save_flags<_CharT, _Traits> __lx(__is);
2969 __is.flags(ios_base::dec | ios_base::skipws);
2981 typedef discard_block_engine<ranlux24_base, 223, 23> ranlux24;
2982 typedef discard_block_engine<ranlux48_base, 389, 11> ranlux48;
2984 // independent_bits_engine
2986 template<class _Engine, size_t __w, class _UIntType>
2987 class _LIBCPP_TEMPLATE_VIS independent_bits_engine
2989 template <class _UI, _UI _R0, size_t _Wp, size_t _Mp>
2992 static _LIBCPP_CONSTEXPR const size_t _Dt = numeric_limits<_UI>::digits;
2993 static _LIBCPP_CONSTEXPR const size_t _Np = _Wp / _Mp + (_Wp % _Mp != 0);
2994 static _LIBCPP_CONSTEXPR const size_t _W0 = _Wp / _Np;
2995 static _LIBCPP_CONSTEXPR const _UI _Y0 = _W0 >= _Dt ? 0 : (_R0 >> _W0) << _W0;
2997 static _LIBCPP_CONSTEXPR const size_t value = _R0 - _Y0 > _Y0 / _Np ? _Np + 1 : _Np;
3001 typedef _UIntType result_type;
3006 static _LIBCPP_CONSTEXPR const result_type _Dt = numeric_limits<result_type>::digits;
3007 static_assert( 0 < __w, "independent_bits_engine invalid parameters");
3008 static_assert(__w <= _Dt, "independent_bits_engine invalid parameters");
3010 typedef typename _Engine::result_type _Engine_result_type;
3011 typedef typename conditional
3013 sizeof(_Engine_result_type) <= sizeof(result_type),
3016 >::type _Working_result_type;
3017 #ifdef _LIBCPP_CXX03_LANG
3018 static const _Working_result_type _Rp = _Engine::_Max - _Engine::_Min
3019 + _Working_result_type(1);
3021 static _LIBCPP_CONSTEXPR const _Working_result_type _Rp = _Engine::max() - _Engine::min()
3022 + _Working_result_type(1);
3024 static _LIBCPP_CONSTEXPR const size_t __m = __log2<_Working_result_type, _Rp>::value;
3025 static _LIBCPP_CONSTEXPR const size_t __n = __get_n<_Working_result_type, _Rp, __w, __m>::value;
3026 static _LIBCPP_CONSTEXPR const size_t __w0 = __w / __n;
3027 static _LIBCPP_CONSTEXPR const size_t __n0 = __n - __w % __n;
3028 static _LIBCPP_CONSTEXPR const size_t _WDt = numeric_limits<_Working_result_type>::digits;
3029 static _LIBCPP_CONSTEXPR const size_t _EDt = numeric_limits<_Engine_result_type>::digits;
3030 static _LIBCPP_CONSTEXPR const _Working_result_type __y0 = __w0 >= _WDt ? 0 :
3031 (_Rp >> __w0) << __w0;
3032 static _LIBCPP_CONSTEXPR const _Working_result_type __y1 = __w0 >= _WDt - 1 ? 0 :
3033 (_Rp >> (__w0+1)) << (__w0+1);
3034 static _LIBCPP_CONSTEXPR const _Engine_result_type __mask0 = __w0 > 0 ?
3035 _Engine_result_type(~0) >> (_EDt - __w0) :
3036 _Engine_result_type(0);
3037 static _LIBCPP_CONSTEXPR const _Engine_result_type __mask1 = __w0 < _EDt - 1 ?
3038 _Engine_result_type(~0) >> (_EDt - (__w0 + 1)) :
3039 _Engine_result_type(~0);
3041 static _LIBCPP_CONSTEXPR const result_type _Min = 0;
3042 static _LIBCPP_CONSTEXPR const result_type _Max = __w == _Dt ? result_type(~0) :
3043 (result_type(1) << __w) - result_type(1);
3044 static_assert(_Min < _Max, "independent_bits_engine invalid parameters");
3046 // engine characteristics
3047 _LIBCPP_INLINE_VISIBILITY
3048 static _LIBCPP_CONSTEXPR result_type min() { return _Min; }
3049 _LIBCPP_INLINE_VISIBILITY
3050 static _LIBCPP_CONSTEXPR result_type max() { return _Max; }
3052 // constructors and seeding functions
3053 _LIBCPP_INLINE_VISIBILITY
3054 independent_bits_engine() {}
3055 _LIBCPP_INLINE_VISIBILITY
3056 explicit independent_bits_engine(const _Engine& __e)
3058 #ifndef _LIBCPP_CXX03_LANG
3059 _LIBCPP_INLINE_VISIBILITY
3060 explicit independent_bits_engine(_Engine&& __e)
3061 : __e_(_VSTD::move(__e)) {}
3062 #endif // _LIBCPP_CXX03_LANG
3063 _LIBCPP_INLINE_VISIBILITY
3064 explicit independent_bits_engine(result_type __sd) : __e_(__sd) {}
3065 template<class _Sseq>
3066 _LIBCPP_INLINE_VISIBILITY
3067 explicit independent_bits_engine(_Sseq& __q,
3068 typename enable_if<__is_seed_sequence<_Sseq, independent_bits_engine>::value &&
3069 !is_convertible<_Sseq, _Engine>::value>::type* = 0)
3071 _LIBCPP_INLINE_VISIBILITY
3072 void seed() {__e_.seed();}
3073 _LIBCPP_INLINE_VISIBILITY
3074 void seed(result_type __sd) {__e_.seed(__sd);}
3075 template<class _Sseq>
3076 _LIBCPP_INLINE_VISIBILITY
3079 __is_seed_sequence<_Sseq, independent_bits_engine>::value,
3082 seed(_Sseq& __q) {__e_.seed(__q);}
3084 // generating functions
3085 _LIBCPP_INLINE_VISIBILITY
3086 result_type operator()() {return __eval(integral_constant<bool, _Rp != 0>());}
3087 _LIBCPP_INLINE_VISIBILITY
3088 void discard(unsigned long long __z) {for (; __z; --__z) operator()();}
3090 // property functions
3091 _LIBCPP_INLINE_VISIBILITY
3092 const _Engine& base() const _NOEXCEPT {return __e_;}
3094 template<class _Eng, size_t _Wp, class _UI>
3098 const independent_bits_engine<_Eng, _Wp, _UI>& __x,
3099 const independent_bits_engine<_Eng, _Wp, _UI>& __y);
3101 template<class _Eng, size_t _Wp, class _UI>
3105 const independent_bits_engine<_Eng, _Wp, _UI>& __x,
3106 const independent_bits_engine<_Eng, _Wp, _UI>& __y);
3108 template <class _CharT, class _Traits,
3109 class _Eng, size_t _Wp, class _UI>
3111 basic_ostream<_CharT, _Traits>&
3112 operator<<(basic_ostream<_CharT, _Traits>& __os,
3113 const independent_bits_engine<_Eng, _Wp, _UI>& __x);
3115 template <class _CharT, class _Traits,
3116 class _Eng, size_t _Wp, class _UI>
3118 basic_istream<_CharT, _Traits>&
3119 operator>>(basic_istream<_CharT, _Traits>& __is,
3120 independent_bits_engine<_Eng, _Wp, _UI>& __x);
3123 _LIBCPP_INLINE_VISIBILITY
3124 result_type __eval(false_type);
3125 result_type __eval(true_type);
3127 template <size_t __count>
3128 _LIBCPP_INLINE_VISIBILITY
3135 __lshift(result_type __x) {return __x << __count;}
3137 template <size_t __count>
3138 _LIBCPP_INLINE_VISIBILITY
3145 __lshift(result_type) {return result_type(0);}
3148 template<class _Engine, size_t __w, class _UIntType>
3151 independent_bits_engine<_Engine, __w, _UIntType>::__eval(false_type)
3153 return static_cast<result_type>(__e_() & __mask0);
3156 template<class _Engine, size_t __w, class _UIntType>
3158 independent_bits_engine<_Engine, __w, _UIntType>::__eval(true_type)
3160 result_type _Sp = 0;
3161 for (size_t __k = 0; __k < __n0; ++__k)
3163 _Engine_result_type __u;
3166 __u = __e_() - _Engine::min();
3167 } while (__u >= __y0);
3168 _Sp = static_cast<result_type>(__lshift<__w0>(_Sp) + (__u & __mask0));
3170 for (size_t __k = __n0; __k < __n; ++__k)
3172 _Engine_result_type __u;
3175 __u = __e_() - _Engine::min();
3176 } while (__u >= __y1);
3177 _Sp = static_cast<result_type>(__lshift<__w0+1>(_Sp) + (__u & __mask1));
3182 template<class _Eng, size_t _Wp, class _UI>
3183 inline _LIBCPP_INLINE_VISIBILITY
3186 const independent_bits_engine<_Eng, _Wp, _UI>& __x,
3187 const independent_bits_engine<_Eng, _Wp, _UI>& __y)
3189 return __x.base() == __y.base();
3192 template<class _Eng, size_t _Wp, class _UI>
3193 inline _LIBCPP_INLINE_VISIBILITY
3196 const independent_bits_engine<_Eng, _Wp, _UI>& __x,
3197 const independent_bits_engine<_Eng, _Wp, _UI>& __y)
3199 return !(__x == __y);
3202 template <class _CharT, class _Traits,
3203 class _Eng, size_t _Wp, class _UI>
3204 basic_ostream<_CharT, _Traits>&
3205 operator<<(basic_ostream<_CharT, _Traits>& __os,
3206 const independent_bits_engine<_Eng, _Wp, _UI>& __x)
3208 return __os << __x.base();
3211 template <class _CharT, class _Traits,
3212 class _Eng, size_t _Wp, class _UI>
3213 basic_istream<_CharT, _Traits>&
3214 operator>>(basic_istream<_CharT, _Traits>& __is,
3215 independent_bits_engine<_Eng, _Wp, _UI>& __x)
3224 // shuffle_order_engine
3226 template <uint64_t _Xp, uint64_t _Yp>
3229 static _LIBCPP_CONSTEXPR const uint64_t value = __ugcd<_Yp, _Xp % _Yp>::value;
3232 template <uint64_t _Xp>
3233 struct __ugcd<_Xp, 0>
3235 static _LIBCPP_CONSTEXPR const uint64_t value = _Xp;
3238 template <uint64_t _Np, uint64_t _Dp>
3241 static_assert(_Dp != 0, "__uratio divide by 0");
3242 static _LIBCPP_CONSTEXPR const uint64_t __gcd = __ugcd<_Np, _Dp>::value;
3244 static _LIBCPP_CONSTEXPR const uint64_t num = _Np / __gcd;
3245 static _LIBCPP_CONSTEXPR const uint64_t den = _Dp / __gcd;
3247 typedef __uratio<num, den> type;
3250 template<class _Engine, size_t __k>
3251 class _LIBCPP_TEMPLATE_VIS shuffle_order_engine
3253 static_assert(0 < __k, "shuffle_order_engine invalid parameters");
3256 typedef typename _Engine::result_type result_type;
3260 result_type _V_[__k];
3264 // engine characteristics
3265 static _LIBCPP_CONSTEXPR const size_t table_size = __k;
3267 #ifdef _LIBCPP_CXX03_LANG
3268 static const result_type _Min = _Engine::_Min;
3269 static const result_type _Max = _Engine::_Max;
3271 static _LIBCPP_CONSTEXPR const result_type _Min = _Engine::min();
3272 static _LIBCPP_CONSTEXPR const result_type _Max = _Engine::max();
3274 static_assert(_Min < _Max, "shuffle_order_engine invalid parameters");
3275 _LIBCPP_INLINE_VISIBILITY
3276 static _LIBCPP_CONSTEXPR result_type min() { return _Min; }
3277 _LIBCPP_INLINE_VISIBILITY
3278 static _LIBCPP_CONSTEXPR result_type max() { return _Max; }
3280 static _LIBCPP_CONSTEXPR const unsigned long long _Rp = _Max - _Min + 1ull;
3282 // constructors and seeding functions
3283 _LIBCPP_INLINE_VISIBILITY
3284 shuffle_order_engine() {__init();}
3285 _LIBCPP_INLINE_VISIBILITY
3286 explicit shuffle_order_engine(const _Engine& __e)
3287 : __e_(__e) {__init();}
3288 #ifndef _LIBCPP_CXX03_LANG
3289 _LIBCPP_INLINE_VISIBILITY
3290 explicit shuffle_order_engine(_Engine&& __e)
3291 : __e_(_VSTD::move(__e)) {__init();}
3292 #endif // _LIBCPP_CXX03_LANG
3293 _LIBCPP_INLINE_VISIBILITY
3294 explicit shuffle_order_engine(result_type __sd) : __e_(__sd) {__init();}
3295 template<class _Sseq>
3296 _LIBCPP_INLINE_VISIBILITY
3297 explicit shuffle_order_engine(_Sseq& __q,
3298 typename enable_if<__is_seed_sequence<_Sseq, shuffle_order_engine>::value &&
3299 !is_convertible<_Sseq, _Engine>::value>::type* = 0)
3300 : __e_(__q) {__init();}
3301 _LIBCPP_INLINE_VISIBILITY
3302 void seed() {__e_.seed(); __init();}
3303 _LIBCPP_INLINE_VISIBILITY
3304 void seed(result_type __sd) {__e_.seed(__sd); __init();}
3305 template<class _Sseq>
3306 _LIBCPP_INLINE_VISIBILITY
3309 __is_seed_sequence<_Sseq, shuffle_order_engine>::value,
3312 seed(_Sseq& __q) {__e_.seed(__q); __init();}
3314 // generating functions
3315 _LIBCPP_INLINE_VISIBILITY
3316 result_type operator()() {return __eval(integral_constant<bool, _Rp != 0>());}
3317 _LIBCPP_INLINE_VISIBILITY
3318 void discard(unsigned long long __z) {for (; __z; --__z) operator()();}
3320 // property functions
3321 _LIBCPP_INLINE_VISIBILITY
3322 const _Engine& base() const _NOEXCEPT {return __e_;}
3325 template<class _Eng, size_t _Kp>
3329 const shuffle_order_engine<_Eng, _Kp>& __x,
3330 const shuffle_order_engine<_Eng, _Kp>& __y);
3332 template<class _Eng, size_t _Kp>
3336 const shuffle_order_engine<_Eng, _Kp>& __x,
3337 const shuffle_order_engine<_Eng, _Kp>& __y);
3339 template <class _CharT, class _Traits,
3340 class _Eng, size_t _Kp>
3342 basic_ostream<_CharT, _Traits>&
3343 operator<<(basic_ostream<_CharT, _Traits>& __os,
3344 const shuffle_order_engine<_Eng, _Kp>& __x);
3346 template <class _CharT, class _Traits,
3347 class _Eng, size_t _Kp>
3349 basic_istream<_CharT, _Traits>&
3350 operator>>(basic_istream<_CharT, _Traits>& __is,
3351 shuffle_order_engine<_Eng, _Kp>& __x);
3353 _LIBCPP_INLINE_VISIBILITY
3356 for (size_t __i = 0; __i < __k; ++__i)
3361 _LIBCPP_INLINE_VISIBILITY
3362 result_type __eval(false_type) {return __eval2(integral_constant<bool, __k & 1>());}
3363 _LIBCPP_INLINE_VISIBILITY
3364 result_type __eval(true_type) {return __eval(__uratio<__k, _Rp>());}
3366 _LIBCPP_INLINE_VISIBILITY
3367 result_type __eval2(false_type) {return __eval(__uratio<__k/2, 0x8000000000000000ull>());}
3368 _LIBCPP_INLINE_VISIBILITY
3369 result_type __eval2(true_type) {return __evalf<__k, 0>();}
3371 template <uint64_t _Np, uint64_t _Dp>
3372 _LIBCPP_INLINE_VISIBILITY
3375 (__uratio<_Np, _Dp>::num > 0xFFFFFFFFFFFFFFFFull / (_Max - _Min)),
3378 __eval(__uratio<_Np, _Dp>)
3379 {return __evalf<__uratio<_Np, _Dp>::num, __uratio<_Np, _Dp>::den>();}
3381 template <uint64_t _Np, uint64_t _Dp>
3382 _LIBCPP_INLINE_VISIBILITY
3385 __uratio<_Np, _Dp>::num <= 0xFFFFFFFFFFFFFFFFull / (_Max - _Min),
3388 __eval(__uratio<_Np, _Dp>)
3390 const size_t __j = static_cast<size_t>(__uratio<_Np, _Dp>::num * (_Y_ - _Min)
3391 / __uratio<_Np, _Dp>::den);
3397 template <uint64_t __n, uint64_t __d>
3398 _LIBCPP_INLINE_VISIBILITY
3399 result_type __evalf()
3401 const double _Fp = __d == 0 ?
3402 __n / (2. * 0x8000000000000000ull) :
3404 const size_t __j = static_cast<size_t>(_Fp * (_Y_ - _Min));
3411 template<class _Engine, size_t __k>
3412 _LIBCPP_CONSTEXPR const size_t shuffle_order_engine<_Engine, __k>::table_size;
3414 template<class _Eng, size_t _Kp>
3417 const shuffle_order_engine<_Eng, _Kp>& __x,
3418 const shuffle_order_engine<_Eng, _Kp>& __y)
3420 return __x._Y_ == __y._Y_ && _VSTD::equal(__x._V_, __x._V_ + _Kp, __y._V_) &&
3421 __x.__e_ == __y.__e_;
3424 template<class _Eng, size_t _Kp>
3425 inline _LIBCPP_INLINE_VISIBILITY
3428 const shuffle_order_engine<_Eng, _Kp>& __x,
3429 const shuffle_order_engine<_Eng, _Kp>& __y)
3431 return !(__x == __y);
3434 template <class _CharT, class _Traits,
3435 class _Eng, size_t _Kp>
3436 basic_ostream<_CharT, _Traits>&
3437 operator<<(basic_ostream<_CharT, _Traits>& __os,
3438 const shuffle_order_engine<_Eng, _Kp>& __x)
3440 __save_flags<_CharT, _Traits> __lx(__os);
3441 __os.flags(ios_base::dec | ios_base::left);
3442 _CharT __sp = __os.widen(' ');
3444 __os << __x.__e_ << __sp << __x._V_[0];
3445 for (size_t __i = 1; __i < _Kp; ++__i)
3446 __os << __sp << __x._V_[__i];
3447 return __os << __sp << __x._Y_;
3450 template <class _CharT, class _Traits,
3451 class _Eng, size_t _Kp>
3452 basic_istream<_CharT, _Traits>&
3453 operator>>(basic_istream<_CharT, _Traits>& __is,
3454 shuffle_order_engine<_Eng, _Kp>& __x)
3456 typedef typename shuffle_order_engine<_Eng, _Kp>::result_type result_type;
3457 __save_flags<_CharT, _Traits> __lx(__is);
3458 __is.flags(ios_base::dec | ios_base::skipws);
3460 result_type _Vp[_Kp+1];
3462 for (size_t __i = 0; __i < _Kp+1; ++__i)
3467 for (size_t __i = 0; __i < _Kp; ++__i)
3468 __x._V_[__i] = _Vp[__i];
3474 typedef shuffle_order_engine<minstd_rand0, 256> knuth_b;
3478 class _LIBCPP_TYPE_VIS random_device
3480 #ifdef _LIBCPP_USING_DEV_RANDOM
3482 #endif // defined(_LIBCPP_USING_DEV_RANDOM)
3485 typedef unsigned result_type;
3487 // generator characteristics
3488 static _LIBCPP_CONSTEXPR const result_type _Min = 0;
3489 static _LIBCPP_CONSTEXPR const result_type _Max = 0xFFFFFFFFu;
3491 _LIBCPP_INLINE_VISIBILITY
3492 static _LIBCPP_CONSTEXPR result_type min() { return _Min;}
3493 _LIBCPP_INLINE_VISIBILITY
3494 static _LIBCPP_CONSTEXPR result_type max() { return _Max;}
3497 explicit random_device(const string& __token = "/dev/urandom");
3500 // generating functions
3501 result_type operator()();
3503 // property functions
3504 double entropy() const _NOEXCEPT;
3507 // no copy functions
3508 random_device(const random_device&); // = delete;
3509 random_device& operator=(const random_device&); // = delete;
3514 class _LIBCPP_TEMPLATE_VIS seed_seq
3518 typedef uint32_t result_type;
3521 vector<result_type> __v_;
3523 template<class _InputIterator>
3524 void init(_InputIterator __first, _InputIterator __last);
3527 _LIBCPP_INLINE_VISIBILITY
3528 seed_seq() _NOEXCEPT {}
3529 #ifndef _LIBCPP_CXX03_LANG
3531 _LIBCPP_INLINE_VISIBILITY
3532 seed_seq(initializer_list<_Tp> __il) {init(__il.begin(), __il.end());}
3533 #endif // _LIBCPP_CXX03_LANG
3535 template<class _InputIterator>
3536 _LIBCPP_INLINE_VISIBILITY
3537 seed_seq(_InputIterator __first, _InputIterator __last)
3538 {init(__first, __last);}
3540 // generating functions
3541 template<class _RandomAccessIterator>
3542 void generate(_RandomAccessIterator __first, _RandomAccessIterator __last);
3544 // property functions
3545 _LIBCPP_INLINE_VISIBILITY
3546 size_t size() const _NOEXCEPT {return __v_.size();}
3547 template<class _OutputIterator>
3548 _LIBCPP_INLINE_VISIBILITY
3549 void param(_OutputIterator __dest) const
3550 {_VSTD::copy(__v_.begin(), __v_.end(), __dest);}
3553 // no copy functions
3554 seed_seq(const seed_seq&); // = delete;
3555 void operator=(const seed_seq&); // = delete;
3557 _LIBCPP_INLINE_VISIBILITY
3558 static result_type _Tp(result_type __x) {return __x ^ (__x >> 27);}
3561 template<class _InputIterator>
3563 seed_seq::init(_InputIterator __first, _InputIterator __last)
3565 for (_InputIterator __s = __first; __s != __last; ++__s)
3566 __v_.push_back(*__s & 0xFFFFFFFF);
3569 template<class _RandomAccessIterator>
3571 seed_seq::generate(_RandomAccessIterator __first, _RandomAccessIterator __last)
3573 if (__first != __last)
3575 _VSTD::fill(__first, __last, 0x8b8b8b8b);
3576 const size_t __n = static_cast<size_t>(__last - __first);
3577 const size_t __s = __v_.size();
3578 const size_t __t = (__n >= 623) ? 11
3583 const size_t __p = (__n - __t) / 2;
3584 const size_t __q = __p + __t;
3585 const size_t __m = _VSTD::max(__s + 1, __n);
3588 result_type __r = 1664525 * _Tp(__first[0] ^ __first[__p]
3589 ^ __first[__n - 1]);
3590 __first[__p] += __r;
3592 __first[__q] += __r;
3595 for (size_t __k = 1; __k <= __s; ++__k)
3597 const size_t __kmodn = __k % __n;
3598 const size_t __kpmodn = (__k + __p) % __n;
3599 result_type __r = 1664525 * _Tp(__first[__kmodn] ^ __first[__kpmodn]
3600 ^ __first[(__k - 1) % __n]);
3601 __first[__kpmodn] += __r;
3602 __r += __kmodn + __v_[__k-1];
3603 __first[(__k + __q) % __n] += __r;
3604 __first[__kmodn] = __r;
3606 for (size_t __k = __s + 1; __k < __m; ++__k)
3608 const size_t __kmodn = __k % __n;
3609 const size_t __kpmodn = (__k + __p) % __n;
3610 result_type __r = 1664525 * _Tp(__first[__kmodn] ^ __first[__kpmodn]
3611 ^ __first[(__k - 1) % __n]);
3612 __first[__kpmodn] += __r;
3614 __first[(__k + __q) % __n] += __r;
3615 __first[__kmodn] = __r;
3617 for (size_t __k = __m; __k < __m + __n; ++__k)
3619 const size_t __kmodn = __k % __n;
3620 const size_t __kpmodn = (__k + __p) % __n;
3621 result_type __r = 1566083941 * _Tp(__first[__kmodn] +
3623 __first[(__k - 1) % __n]);
3624 __first[__kpmodn] ^= __r;
3626 __first[(__k + __q) % __n] ^= __r;
3627 __first[__kmodn] = __r;
3632 // generate_canonical
3634 template<class _RealType, size_t __bits, class _URNG>
3636 generate_canonical(_URNG& __g)
3638 const size_t _Dt = numeric_limits<_RealType>::digits;
3639 const size_t __b = _Dt < __bits ? _Dt : __bits;
3640 #ifdef _LIBCPP_CXX03_LANG
3641 const size_t __logR = __log2<uint64_t, _URNG::_Max - _URNG::_Min + uint64_t(1)>::value;
3643 const size_t __logR = __log2<uint64_t, _URNG::max() - _URNG::min() + uint64_t(1)>::value;
3645 const size_t __k = __b / __logR + (__b % __logR != 0) + (__b == 0);
3646 const _RealType _Rp = _URNG::max() - _URNG::min() + _RealType(1);
3647 _RealType __base = _Rp;
3648 _RealType _Sp = __g() - _URNG::min();
3649 for (size_t __i = 1; __i < __k; ++__i, __base *= _Rp)
3650 _Sp += (__g() - _URNG::min()) * __base;
3651 return _Sp / __base;
3654 // uniform_int_distribution
3658 template <class _CharT, class _Traits, class _IT>
3659 basic_ostream<_CharT, _Traits>&
3660 operator<<(basic_ostream<_CharT, _Traits>& __os,
3661 const uniform_int_distribution<_IT>& __x)
3663 __save_flags<_CharT, _Traits> __lx(__os);
3664 __os.flags(ios_base::dec | ios_base::left);
3665 _CharT __sp = __os.widen(' ');
3667 return __os << __x.a() << __sp << __x.b();
3670 template <class _CharT, class _Traits, class _IT>
3671 basic_istream<_CharT, _Traits>&
3672 operator>>(basic_istream<_CharT, _Traits>& __is,
3673 uniform_int_distribution<_IT>& __x)
3675 typedef uniform_int_distribution<_IT> _Eng;
3676 typedef typename _Eng::result_type result_type;
3677 typedef typename _Eng::param_type param_type;
3678 __save_flags<_CharT, _Traits> __lx(__is);
3679 __is.flags(ios_base::dec | ios_base::skipws);
3684 __x.param(param_type(__a, __b));
3688 // uniform_real_distribution
3690 template<class _RealType = double>
3691 class _LIBCPP_TEMPLATE_VIS uniform_real_distribution
3695 typedef _RealType result_type;
3697 class _LIBCPP_TEMPLATE_VIS param_type
3702 typedef uniform_real_distribution distribution_type;
3704 _LIBCPP_INLINE_VISIBILITY
3705 explicit param_type(result_type __a = 0,
3706 result_type __b = 1)
3707 : __a_(__a), __b_(__b) {}
3709 _LIBCPP_INLINE_VISIBILITY
3710 result_type a() const {return __a_;}
3711 _LIBCPP_INLINE_VISIBILITY
3712 result_type b() const {return __b_;}
3714 friend _LIBCPP_INLINE_VISIBILITY
3715 bool operator==(const param_type& __x, const param_type& __y)
3716 {return __x.__a_ == __y.__a_ && __x.__b_ == __y.__b_;}
3717 friend _LIBCPP_INLINE_VISIBILITY
3718 bool operator!=(const param_type& __x, const param_type& __y)
3719 {return !(__x == __y);}
3726 // constructors and reset functions
3727 _LIBCPP_INLINE_VISIBILITY
3728 explicit uniform_real_distribution(result_type __a = 0, result_type __b = 1)
3729 : __p_(param_type(__a, __b)) {}
3730 _LIBCPP_INLINE_VISIBILITY
3731 explicit uniform_real_distribution(const param_type& __p) : __p_(__p) {}
3732 _LIBCPP_INLINE_VISIBILITY
3735 // generating functions
3736 template<class _URNG>
3737 _LIBCPP_INLINE_VISIBILITY
3738 result_type operator()(_URNG& __g)
3739 {return (*this)(__g, __p_);}
3740 template<class _URNG> _LIBCPP_INLINE_VISIBILITY result_type operator()(_URNG& __g, const param_type& __p);
3742 // property functions
3743 _LIBCPP_INLINE_VISIBILITY
3744 result_type a() const {return __p_.a();}
3745 _LIBCPP_INLINE_VISIBILITY
3746 result_type b() const {return __p_.b();}
3748 _LIBCPP_INLINE_VISIBILITY
3749 param_type param() const {return __p_;}
3750 _LIBCPP_INLINE_VISIBILITY
3751 void param(const param_type& __p) {__p_ = __p;}
3753 _LIBCPP_INLINE_VISIBILITY
3754 result_type min() const {return a();}
3755 _LIBCPP_INLINE_VISIBILITY
3756 result_type max() const {return b();}
3758 friend _LIBCPP_INLINE_VISIBILITY
3759 bool operator==(const uniform_real_distribution& __x,
3760 const uniform_real_distribution& __y)
3761 {return __x.__p_ == __y.__p_;}
3762 friend _LIBCPP_INLINE_VISIBILITY
3763 bool operator!=(const uniform_real_distribution& __x,
3764 const uniform_real_distribution& __y)
3765 {return !(__x == __y);}
3768 template<class _RealType>
3769 template<class _URNG>
3771 typename uniform_real_distribution<_RealType>::result_type
3772 uniform_real_distribution<_RealType>::operator()(_URNG& __g, const param_type& __p)
3774 return (__p.b() - __p.a())
3775 * _VSTD::generate_canonical<_RealType, numeric_limits<_RealType>::digits>(__g)
3779 template <class _CharT, class _Traits, class _RT>
3780 basic_ostream<_CharT, _Traits>&
3781 operator<<(basic_ostream<_CharT, _Traits>& __os,
3782 const uniform_real_distribution<_RT>& __x)
3784 __save_flags<_CharT, _Traits> __lx(__os);
3785 __os.flags(ios_base::dec | ios_base::left | ios_base::fixed |
3786 ios_base::scientific);
3787 _CharT __sp = __os.widen(' ');
3789 return __os << __x.a() << __sp << __x.b();
3792 template <class _CharT, class _Traits, class _RT>
3793 basic_istream<_CharT, _Traits>&
3794 operator>>(basic_istream<_CharT, _Traits>& __is,
3795 uniform_real_distribution<_RT>& __x)
3797 typedef uniform_real_distribution<_RT> _Eng;
3798 typedef typename _Eng::result_type result_type;
3799 typedef typename _Eng::param_type param_type;
3800 __save_flags<_CharT, _Traits> __lx(__is);
3801 __is.flags(ios_base::dec | ios_base::skipws);
3806 __x.param(param_type(__a, __b));
3810 // bernoulli_distribution
3812 class _LIBCPP_TEMPLATE_VIS bernoulli_distribution
3816 typedef bool result_type;
3818 class _LIBCPP_TEMPLATE_VIS param_type
3822 typedef bernoulli_distribution distribution_type;
3824 _LIBCPP_INLINE_VISIBILITY
3825 explicit param_type(double __p = 0.5) : __p_(__p) {}
3827 _LIBCPP_INLINE_VISIBILITY
3828 double p() const {return __p_;}
3830 friend _LIBCPP_INLINE_VISIBILITY
3831 bool operator==(const param_type& __x, const param_type& __y)
3832 {return __x.__p_ == __y.__p_;}
3833 friend _LIBCPP_INLINE_VISIBILITY
3834 bool operator!=(const param_type& __x, const param_type& __y)
3835 {return !(__x == __y);}
3842 // constructors and reset functions
3843 _LIBCPP_INLINE_VISIBILITY
3844 explicit bernoulli_distribution(double __p = 0.5)
3845 : __p_(param_type(__p)) {}
3846 _LIBCPP_INLINE_VISIBILITY
3847 explicit bernoulli_distribution(const param_type& __p) : __p_(__p) {}
3848 _LIBCPP_INLINE_VISIBILITY
3851 // generating functions
3852 template<class _URNG>
3853 _LIBCPP_INLINE_VISIBILITY
3854 result_type operator()(_URNG& __g)
3855 {return (*this)(__g, __p_);}
3856 template<class _URNG> _LIBCPP_INLINE_VISIBILITY result_type operator()(_URNG& __g, const param_type& __p);
3858 // property functions
3859 _LIBCPP_INLINE_VISIBILITY
3860 double p() const {return __p_.p();}
3862 _LIBCPP_INLINE_VISIBILITY
3863 param_type param() const {return __p_;}
3864 _LIBCPP_INLINE_VISIBILITY
3865 void param(const param_type& __p) {__p_ = __p;}
3867 _LIBCPP_INLINE_VISIBILITY
3868 result_type min() const {return false;}
3869 _LIBCPP_INLINE_VISIBILITY
3870 result_type max() const {return true;}
3872 friend _LIBCPP_INLINE_VISIBILITY
3873 bool operator==(const bernoulli_distribution& __x,
3874 const bernoulli_distribution& __y)
3875 {return __x.__p_ == __y.__p_;}
3876 friend _LIBCPP_INLINE_VISIBILITY
3877 bool operator!=(const bernoulli_distribution& __x,
3878 const bernoulli_distribution& __y)
3879 {return !(__x == __y);}
3882 template<class _URNG>
3884 bernoulli_distribution::result_type
3885 bernoulli_distribution::operator()(_URNG& __g, const param_type& __p)
3887 uniform_real_distribution<double> __gen;
3888 return __gen(__g) < __p.p();
3891 template <class _CharT, class _Traits>
3892 basic_ostream<_CharT, _Traits>&
3893 operator<<(basic_ostream<_CharT, _Traits>& __os, const bernoulli_distribution& __x)
3895 __save_flags<_CharT, _Traits> __lx(__os);
3896 __os.flags(ios_base::dec | ios_base::left | ios_base::fixed |
3897 ios_base::scientific);
3898 _CharT __sp = __os.widen(' ');
3900 return __os << __x.p();
3903 template <class _CharT, class _Traits>
3904 basic_istream<_CharT, _Traits>&
3905 operator>>(basic_istream<_CharT, _Traits>& __is, bernoulli_distribution& __x)
3907 typedef bernoulli_distribution _Eng;
3908 typedef typename _Eng::param_type param_type;
3909 __save_flags<_CharT, _Traits> __lx(__is);
3910 __is.flags(ios_base::dec | ios_base::skipws);
3914 __x.param(param_type(__p));
3918 // binomial_distribution
3920 template<class _IntType = int>
3921 class _LIBCPP_TEMPLATE_VIS binomial_distribution
3925 typedef _IntType result_type;
3927 class _LIBCPP_TEMPLATE_VIS param_type
3932 double __odds_ratio_;
3935 typedef binomial_distribution distribution_type;
3937 explicit param_type(result_type __t = 1, double __p = 0.5);
3939 _LIBCPP_INLINE_VISIBILITY
3940 result_type t() const {return __t_;}
3941 _LIBCPP_INLINE_VISIBILITY
3942 double p() const {return __p_;}
3944 friend _LIBCPP_INLINE_VISIBILITY
3945 bool operator==(const param_type& __x, const param_type& __y)
3946 {return __x.__t_ == __y.__t_ && __x.__p_ == __y.__p_;}
3947 friend _LIBCPP_INLINE_VISIBILITY
3948 bool operator!=(const param_type& __x, const param_type& __y)
3949 {return !(__x == __y);}
3951 friend class binomial_distribution;
3958 // constructors and reset functions
3959 _LIBCPP_INLINE_VISIBILITY
3960 explicit binomial_distribution(result_type __t = 1, double __p = 0.5)
3961 : __p_(param_type(__t, __p)) {}
3962 _LIBCPP_INLINE_VISIBILITY
3963 explicit binomial_distribution(const param_type& __p) : __p_(__p) {}
3964 _LIBCPP_INLINE_VISIBILITY
3967 // generating functions
3968 template<class _URNG>
3969 _LIBCPP_INLINE_VISIBILITY
3970 result_type operator()(_URNG& __g)
3971 {return (*this)(__g, __p_);}
3972 template<class _URNG> result_type operator()(_URNG& __g, const param_type& __p);
3974 // property functions
3975 _LIBCPP_INLINE_VISIBILITY
3976 result_type t() const {return __p_.t();}
3977 _LIBCPP_INLINE_VISIBILITY
3978 double p() const {return __p_.p();}
3980 _LIBCPP_INLINE_VISIBILITY
3981 param_type param() const {return __p_;}
3982 _LIBCPP_INLINE_VISIBILITY
3983 void param(const param_type& __p) {__p_ = __p;}
3985 _LIBCPP_INLINE_VISIBILITY
3986 result_type min() const {return 0;}
3987 _LIBCPP_INLINE_VISIBILITY
3988 result_type max() const {return t();}
3990 friend _LIBCPP_INLINE_VISIBILITY
3991 bool operator==(const binomial_distribution& __x,
3992 const binomial_distribution& __y)
3993 {return __x.__p_ == __y.__p_;}
3994 friend _LIBCPP_INLINE_VISIBILITY
3995 bool operator!=(const binomial_distribution& __x,
3996 const binomial_distribution& __y)
3997 {return !(__x == __y);}
4000 #ifndef _LIBCPP_MSVCRT
4001 extern "C" double lgamma_r(double, int *);
4004 inline _LIBCPP_INLINE_VISIBILITY double __libcpp_lgamma(double __d) {
4005 #if defined(_LIBCPP_MSVCRT)
4009 return lgamma_r(__d, &__sign);
4013 template<class _IntType>
4014 binomial_distribution<_IntType>::param_type::param_type(const result_type __t, const double __p)
4015 : __t_(__t), __p_(__p)
4017 if (0 < __p_ && __p_ < 1)
4019 __r0_ = static_cast<result_type>((__t_ + 1) * __p_);
4020 __pr_ = _VSTD::exp(__libcpp_lgamma(__t_ + 1.) -
4021 __libcpp_lgamma(__r0_ + 1.) -
4022 __libcpp_lgamma(__t_ - __r0_ + 1.) + __r0_ * _VSTD::log(__p_) +
4023 (__t_ - __r0_) * _VSTD::log(1 - __p_));
4024 __odds_ratio_ = __p_ / (1 - __p_);
4028 // Reference: Kemp, C.D. (1986). `A modal method for generating binomial
4029 // variables', Commun. Statist. - Theor. Meth. 15(3), 805-813.
4030 template<class _IntType>
4031 template<class _URNG>
4033 binomial_distribution<_IntType>::operator()(_URNG& __g, const param_type& __pr)
4035 if (__pr.__t_ == 0 || __pr.__p_ == 0)
4039 uniform_real_distribution<double> __gen;
4040 double __u = __gen(__g) - __pr.__pr_;
4043 double __pu = __pr.__pr_;
4045 result_type __ru = __pr.__r0_;
4046 result_type __rd = __ru;
4051 __pd *= __rd / (__pr.__odds_ratio_ * (__pr.__t_ - __rd + 1));
4059 if (__ru <= __pr.__t_)
4061 __pu *= (__pr.__t_ - __ru + 1) * __pr.__odds_ratio_ / __ru;
4069 template <class _CharT, class _Traits, class _IntType>
4070 basic_ostream<_CharT, _Traits>&
4071 operator<<(basic_ostream<_CharT, _Traits>& __os,
4072 const binomial_distribution<_IntType>& __x)
4074 __save_flags<_CharT, _Traits> __lx(__os);
4075 __os.flags(ios_base::dec | ios_base::left | ios_base::fixed |
4076 ios_base::scientific);
4077 _CharT __sp = __os.widen(' ');
4079 return __os << __x.t() << __sp << __x.p();
4082 template <class _CharT, class _Traits, class _IntType>
4083 basic_istream<_CharT, _Traits>&
4084 operator>>(basic_istream<_CharT, _Traits>& __is,
4085 binomial_distribution<_IntType>& __x)
4087 typedef binomial_distribution<_IntType> _Eng;
4088 typedef typename _Eng::result_type result_type;
4089 typedef typename _Eng::param_type param_type;
4090 __save_flags<_CharT, _Traits> __lx(__is);
4091 __is.flags(ios_base::dec | ios_base::skipws);
4096 __x.param(param_type(__t, __p));
4100 // exponential_distribution
4102 template<class _RealType = double>
4103 class _LIBCPP_TEMPLATE_VIS exponential_distribution
4107 typedef _RealType result_type;
4109 class _LIBCPP_TEMPLATE_VIS param_type
4111 result_type __lambda_;
4113 typedef exponential_distribution distribution_type;
4115 _LIBCPP_INLINE_VISIBILITY
4116 explicit param_type(result_type __lambda = 1) : __lambda_(__lambda) {}
4118 _LIBCPP_INLINE_VISIBILITY
4119 result_type lambda() const {return __lambda_;}
4121 friend _LIBCPP_INLINE_VISIBILITY
4122 bool operator==(const param_type& __x, const param_type& __y)
4123 {return __x.__lambda_ == __y.__lambda_;}
4124 friend _LIBCPP_INLINE_VISIBILITY
4125 bool operator!=(const param_type& __x, const param_type& __y)
4126 {return !(__x == __y);}
4133 // constructors and reset functions
4134 _LIBCPP_INLINE_VISIBILITY
4135 explicit exponential_distribution(result_type __lambda = 1)
4136 : __p_(param_type(__lambda)) {}
4137 _LIBCPP_INLINE_VISIBILITY
4138 explicit exponential_distribution(const param_type& __p) : __p_(__p) {}
4139 _LIBCPP_INLINE_VISIBILITY
4142 // generating functions
4143 template<class _URNG>
4144 _LIBCPP_INLINE_VISIBILITY
4145 result_type operator()(_URNG& __g)
4146 {return (*this)(__g, __p_);}
4147 template<class _URNG> result_type operator()(_URNG& __g, const param_type& __p);
4149 // property functions
4150 _LIBCPP_INLINE_VISIBILITY
4151 result_type lambda() const {return __p_.lambda();}
4153 _LIBCPP_INLINE_VISIBILITY
4154 param_type param() const {return __p_;}
4155 _LIBCPP_INLINE_VISIBILITY
4156 void param(const param_type& __p) {__p_ = __p;}
4158 _LIBCPP_INLINE_VISIBILITY
4159 result_type min() const {return 0;}
4160 _LIBCPP_INLINE_VISIBILITY
4161 result_type max() const {return numeric_limits<result_type>::infinity();}
4163 friend _LIBCPP_INLINE_VISIBILITY
4164 bool operator==(const exponential_distribution& __x,
4165 const exponential_distribution& __y)
4166 {return __x.__p_ == __y.__p_;}
4167 friend _LIBCPP_INLINE_VISIBILITY
4168 bool operator!=(const exponential_distribution& __x,
4169 const exponential_distribution& __y)
4170 {return !(__x == __y);}
4173 template <class _RealType>
4174 template<class _URNG>
4176 exponential_distribution<_RealType>::operator()(_URNG& __g, const param_type& __p)
4181 _VSTD::generate_canonical<result_type,
4182 numeric_limits<result_type>::digits>(__g)
4187 template <class _CharT, class _Traits, class _RealType>
4188 basic_ostream<_CharT, _Traits>&
4189 operator<<(basic_ostream<_CharT, _Traits>& __os,
4190 const exponential_distribution<_RealType>& __x)
4192 __save_flags<_CharT, _Traits> __lx(__os);
4193 __os.flags(ios_base::dec | ios_base::left | ios_base::fixed |
4194 ios_base::scientific);
4195 return __os << __x.lambda();
4198 template <class _CharT, class _Traits, class _RealType>
4199 basic_istream<_CharT, _Traits>&
4200 operator>>(basic_istream<_CharT, _Traits>& __is,
4201 exponential_distribution<_RealType>& __x)
4203 typedef exponential_distribution<_RealType> _Eng;
4204 typedef typename _Eng::result_type result_type;
4205 typedef typename _Eng::param_type param_type;
4206 __save_flags<_CharT, _Traits> __lx(__is);
4207 __is.flags(ios_base::dec | ios_base::skipws);
4208 result_type __lambda;
4211 __x.param(param_type(__lambda));
4215 // normal_distribution
4217 template<class _RealType = double>
4218 class _LIBCPP_TEMPLATE_VIS normal_distribution
4222 typedef _RealType result_type;
4224 class _LIBCPP_TEMPLATE_VIS param_type
4226 result_type __mean_;
4227 result_type __stddev_;
4229 typedef normal_distribution distribution_type;
4231 _LIBCPP_INLINE_VISIBILITY
4232 explicit param_type(result_type __mean = 0, result_type __stddev = 1)
4233 : __mean_(__mean), __stddev_(__stddev) {}
4235 _LIBCPP_INLINE_VISIBILITY
4236 result_type mean() const {return __mean_;}
4237 _LIBCPP_INLINE_VISIBILITY
4238 result_type stddev() const {return __stddev_;}
4240 friend _LIBCPP_INLINE_VISIBILITY
4241 bool operator==(const param_type& __x, const param_type& __y)
4242 {return __x.__mean_ == __y.__mean_ && __x.__stddev_ == __y.__stddev_;}
4243 friend _LIBCPP_INLINE_VISIBILITY
4244 bool operator!=(const param_type& __x, const param_type& __y)
4245 {return !(__x == __y);}
4254 // constructors and reset functions
4255 _LIBCPP_INLINE_VISIBILITY
4256 explicit normal_distribution(result_type __mean = 0, result_type __stddev = 1)
4257 : __p_(param_type(__mean, __stddev)), _V_hot_(false) {}
4258 _LIBCPP_INLINE_VISIBILITY
4259 explicit normal_distribution(const param_type& __p)
4260 : __p_(__p), _V_hot_(false) {}
4261 _LIBCPP_INLINE_VISIBILITY
4262 void reset() {_V_hot_ = false;}
4264 // generating functions
4265 template<class _URNG>
4266 _LIBCPP_INLINE_VISIBILITY
4267 result_type operator()(_URNG& __g)
4268 {return (*this)(__g, __p_);}
4269 template<class _URNG> result_type operator()(_URNG& __g, const param_type& __p);
4271 // property functions
4272 _LIBCPP_INLINE_VISIBILITY
4273 result_type mean() const {return __p_.mean();}
4274 _LIBCPP_INLINE_VISIBILITY
4275 result_type stddev() const {return __p_.stddev();}
4277 _LIBCPP_INLINE_VISIBILITY
4278 param_type param() const {return __p_;}
4279 _LIBCPP_INLINE_VISIBILITY
4280 void param(const param_type& __p) {__p_ = __p;}
4282 _LIBCPP_INLINE_VISIBILITY
4283 result_type min() const {return -numeric_limits<result_type>::infinity();}
4284 _LIBCPP_INLINE_VISIBILITY
4285 result_type max() const {return numeric_limits<result_type>::infinity();}
4287 friend _LIBCPP_INLINE_VISIBILITY
4288 bool operator==(const normal_distribution& __x,
4289 const normal_distribution& __y)
4290 {return __x.__p_ == __y.__p_ && __x._V_hot_ == __y._V_hot_ &&
4291 (!__x._V_hot_ || __x._V_ == __y._V_);}
4292 friend _LIBCPP_INLINE_VISIBILITY
4293 bool operator!=(const normal_distribution& __x,
4294 const normal_distribution& __y)
4295 {return !(__x == __y);}
4297 template <class _CharT, class _Traits, class _RT>
4299 basic_ostream<_CharT, _Traits>&
4300 operator<<(basic_ostream<_CharT, _Traits>& __os,
4301 const normal_distribution<_RT>& __x);
4303 template <class _CharT, class _Traits, class _RT>
4305 basic_istream<_CharT, _Traits>&
4306 operator>>(basic_istream<_CharT, _Traits>& __is,
4307 normal_distribution<_RT>& __x);
4310 template <class _RealType>
4311 template<class _URNG>
4313 normal_distribution<_RealType>::operator()(_URNG& __g, const param_type& __p)
4323 uniform_real_distribution<result_type> _Uni(-1, 1);
4331 __s = __u * __u + __v * __v;
4332 } while (__s > 1 || __s == 0);
4333 result_type _Fp = _VSTD::sqrt(-2 * _VSTD::log(__s) / __s);
4338 return _Up * __p.stddev() + __p.mean();
4341 template <class _CharT, class _Traits, class _RT>
4342 basic_ostream<_CharT, _Traits>&
4343 operator<<(basic_ostream<_CharT, _Traits>& __os,
4344 const normal_distribution<_RT>& __x)
4346 __save_flags<_CharT, _Traits> __lx(__os);
4347 __os.flags(ios_base::dec | ios_base::left | ios_base::fixed |
4348 ios_base::scientific);
4349 _CharT __sp = __os.widen(' ');
4351 __os << __x.mean() << __sp << __x.stddev() << __sp << __x._V_hot_;
4353 __os << __sp << __x._V_;
4357 template <class _CharT, class _Traits, class _RT>
4358 basic_istream<_CharT, _Traits>&
4359 operator>>(basic_istream<_CharT, _Traits>& __is,
4360 normal_distribution<_RT>& __x)
4362 typedef normal_distribution<_RT> _Eng;
4363 typedef typename _Eng::result_type result_type;
4364 typedef typename _Eng::param_type param_type;
4365 __save_flags<_CharT, _Traits> __lx(__is);
4366 __is.flags(ios_base::dec | ios_base::skipws);
4368 result_type __stddev;
4369 result_type _Vp = 0;
4370 bool _V_hot = false;
4371 __is >> __mean >> __stddev >> _V_hot;
4376 __x.param(param_type(__mean, __stddev));
4377 __x._V_hot_ = _V_hot;
4383 // lognormal_distribution
4385 template<class _RealType = double>
4386 class _LIBCPP_TEMPLATE_VIS lognormal_distribution
4390 typedef _RealType result_type;
4392 class _LIBCPP_TEMPLATE_VIS param_type
4394 normal_distribution<result_type> __nd_;
4396 typedef lognormal_distribution distribution_type;
4398 _LIBCPP_INLINE_VISIBILITY
4399 explicit param_type(result_type __m = 0, result_type __s = 1)
4400 : __nd_(__m, __s) {}
4402 _LIBCPP_INLINE_VISIBILITY
4403 result_type m() const {return __nd_.mean();}
4404 _LIBCPP_INLINE_VISIBILITY
4405 result_type s() const {return __nd_.stddev();}
4407 friend _LIBCPP_INLINE_VISIBILITY
4408 bool operator==(const param_type& __x, const param_type& __y)
4409 {return __x.__nd_ == __y.__nd_;}
4410 friend _LIBCPP_INLINE_VISIBILITY
4411 bool operator!=(const param_type& __x, const param_type& __y)
4412 {return !(__x == __y);}
4413 friend class lognormal_distribution;
4415 template <class _CharT, class _Traits, class _RT>
4417 basic_ostream<_CharT, _Traits>&
4418 operator<<(basic_ostream<_CharT, _Traits>& __os,
4419 const lognormal_distribution<_RT>& __x);
4421 template <class _CharT, class _Traits, class _RT>
4423 basic_istream<_CharT, _Traits>&
4424 operator>>(basic_istream<_CharT, _Traits>& __is,
4425 lognormal_distribution<_RT>& __x);
4432 // constructor and reset functions
4433 _LIBCPP_INLINE_VISIBILITY
4434 explicit lognormal_distribution(result_type __m = 0, result_type __s = 1)
4435 : __p_(param_type(__m, __s)) {}
4436 _LIBCPP_INLINE_VISIBILITY
4437 explicit lognormal_distribution(const param_type& __p)
4439 _LIBCPP_INLINE_VISIBILITY
4440 void reset() {__p_.__nd_.reset();}
4442 // generating functions
4443 template<class _URNG>
4444 _LIBCPP_INLINE_VISIBILITY
4445 result_type operator()(_URNG& __g)
4446 {return (*this)(__g, __p_);}
4447 template<class _URNG>
4448 _LIBCPP_INLINE_VISIBILITY
4449 result_type operator()(_URNG& __g, const param_type& __p)
4450 {return _VSTD::exp(const_cast<normal_distribution<result_type>&>(__p.__nd_)(__g));}
4452 // property functions
4453 _LIBCPP_INLINE_VISIBILITY
4454 result_type m() const {return __p_.m();}
4455 _LIBCPP_INLINE_VISIBILITY
4456 result_type s() const {return __p_.s();}
4458 _LIBCPP_INLINE_VISIBILITY
4459 param_type param() const {return __p_;}
4460 _LIBCPP_INLINE_VISIBILITY
4461 void param(const param_type& __p) {__p_ = __p;}
4463 _LIBCPP_INLINE_VISIBILITY
4464 result_type min() const {return 0;}
4465 _LIBCPP_INLINE_VISIBILITY
4466 result_type max() const {return numeric_limits<result_type>::infinity();}
4468 friend _LIBCPP_INLINE_VISIBILITY
4469 bool operator==(const lognormal_distribution& __x,
4470 const lognormal_distribution& __y)
4471 {return __x.__p_ == __y.__p_;}
4472 friend _LIBCPP_INLINE_VISIBILITY
4473 bool operator!=(const lognormal_distribution& __x,
4474 const lognormal_distribution& __y)
4475 {return !(__x == __y);}
4477 template <class _CharT, class _Traits, class _RT>
4479 basic_ostream<_CharT, _Traits>&
4480 operator<<(basic_ostream<_CharT, _Traits>& __os,
4481 const lognormal_distribution<_RT>& __x);
4483 template <class _CharT, class _Traits, class _RT>
4485 basic_istream<_CharT, _Traits>&
4486 operator>>(basic_istream<_CharT, _Traits>& __is,
4487 lognormal_distribution<_RT>& __x);
4490 template <class _CharT, class _Traits, class _RT>
4491 inline _LIBCPP_INLINE_VISIBILITY
4492 basic_ostream<_CharT, _Traits>&
4493 operator<<(basic_ostream<_CharT, _Traits>& __os,
4494 const lognormal_distribution<_RT>& __x)
4496 return __os << __x.__p_.__nd_;
4499 template <class _CharT, class _Traits, class _RT>
4500 inline _LIBCPP_INLINE_VISIBILITY
4501 basic_istream<_CharT, _Traits>&
4502 operator>>(basic_istream<_CharT, _Traits>& __is,
4503 lognormal_distribution<_RT>& __x)
4505 return __is >> __x.__p_.__nd_;
4508 // poisson_distribution
4510 template<class _IntType = int>
4511 class _LIBCPP_TEMPLATE_VIS poisson_distribution
4515 typedef _IntType result_type;
4517 class _LIBCPP_TEMPLATE_VIS param_type
4531 typedef poisson_distribution distribution_type;
4533 explicit param_type(double __mean = 1.0);
4535 _LIBCPP_INLINE_VISIBILITY
4536 double mean() const {return __mean_;}
4538 friend _LIBCPP_INLINE_VISIBILITY
4539 bool operator==(const param_type& __x, const param_type& __y)
4540 {return __x.__mean_ == __y.__mean_;}
4541 friend _LIBCPP_INLINE_VISIBILITY
4542 bool operator!=(const param_type& __x, const param_type& __y)
4543 {return !(__x == __y);}
4545 friend class poisson_distribution;
4552 // constructors and reset functions
4553 _LIBCPP_INLINE_VISIBILITY
4554 explicit poisson_distribution(double __mean = 1.0) : __p_(__mean) {}
4555 _LIBCPP_INLINE_VISIBILITY
4556 explicit poisson_distribution(const param_type& __p) : __p_(__p) {}
4557 _LIBCPP_INLINE_VISIBILITY
4560 // generating functions
4561 template<class _URNG>
4562 _LIBCPP_INLINE_VISIBILITY
4563 result_type operator()(_URNG& __g)
4564 {return (*this)(__g, __p_);}
4565 template<class _URNG> result_type operator()(_URNG& __g, const param_type& __p);
4567 // property functions
4568 _LIBCPP_INLINE_VISIBILITY
4569 double mean() const {return __p_.mean();}
4571 _LIBCPP_INLINE_VISIBILITY
4572 param_type param() const {return __p_;}
4573 _LIBCPP_INLINE_VISIBILITY
4574 void param(const param_type& __p) {__p_ = __p;}
4576 _LIBCPP_INLINE_VISIBILITY
4577 result_type min() const {return 0;}
4578 _LIBCPP_INLINE_VISIBILITY
4579 result_type max() const {return numeric_limits<result_type>::max();}
4581 friend _LIBCPP_INLINE_VISIBILITY
4582 bool operator==(const poisson_distribution& __x,
4583 const poisson_distribution& __y)
4584 {return __x.__p_ == __y.__p_;}
4585 friend _LIBCPP_INLINE_VISIBILITY
4586 bool operator!=(const poisson_distribution& __x,
4587 const poisson_distribution& __y)
4588 {return !(__x == __y);}
4591 template<class _IntType>
4592 poisson_distribution<_IntType>::param_type::param_type(double __mean)
4599 __l_ = _VSTD::exp(-__mean_);
4609 __s_ = _VSTD::sqrt(__mean_);
4610 __d_ = 6 * __mean_ * __mean_;
4611 __l_ = static_cast<result_type>(__mean_ - 1.1484);
4612 __omega_ = .3989423 / __s_;
4613 double __b1_ = .4166667E-1 / __mean_;
4614 double __b2_ = .3 * __b1_ * __b1_;
4615 __c3_ = .1428571 * __b1_ * __b2_;
4616 __c2_ = __b2_ - 15. * __c3_;
4617 __c1_ = __b1_ - 6. * __b2_ + 45. * __c3_;
4618 __c0_ = 1. - __b1_ + 3. * __b2_ - 15. * __c3_;
4619 __c_ = .1069 / __mean_;
4623 template <class _IntType>
4624 template<class _URNG>
4626 poisson_distribution<_IntType>::operator()(_URNG& __urng, const param_type& __pr)
4629 uniform_real_distribution<double> __urd;
4630 if (__pr.__mean_ < 10)
4633 for (double __p = __urd(__urng); __p > __pr.__l_; ++__x)
4634 __p *= __urd(__urng);
4639 double __g = __pr.__mean_ + __pr.__s_ * normal_distribution<double>()(__urng);
4643 __x = static_cast<result_type>(__g);
4644 if (__x >= __pr.__l_)
4646 __difmuk = __pr.__mean_ - __x;
4647 __u = __urd(__urng);
4648 if (__pr.__d_ * __u >= __difmuk * __difmuk * __difmuk)
4651 exponential_distribution<double> __edist;
4652 for (bool __using_exp_dist = false; true; __using_exp_dist = true)
4655 if (__using_exp_dist || __g < 0)
4660 __e = __edist(__urng);
4661 __u = __urd(__urng);
4663 __t = 1.8 + (__u < 0 ? -__e : __e);
4664 } while (__t <= -.6744);
4665 __x = __pr.__mean_ + __pr.__s_ * __t;
4666 __difmuk = __pr.__mean_ - __x;
4667 __using_exp_dist = true;
4673 const result_type __fac[] = {1, 1, 2, 6, 24, 120, 720, 5040,
4675 __px = -__pr.__mean_;
4676 __py = _VSTD::pow(__pr.__mean_, (double)__x) / __fac[__x];
4680 double __del = .8333333E-1 / __x;
4681 __del -= 4.8 * __del * __del * __del;
4682 double __v = __difmuk / __x;
4683 if (_VSTD::abs(__v) > 0.25)
4684 __px = __x * _VSTD::log(1 + __v) - __difmuk - __del;
4686 __px = __x * __v * __v * (((((((.1250060 * __v + -.1384794) *
4687 __v + .1421878) * __v + -.1661269) * __v + .2000118) *
4688 __v + -.2500068) * __v + .3333333) * __v + -.5) - __del;
4689 __py = .3989423 / _VSTD::sqrt(__x);
4691 double __r = (0.5 - __difmuk) / __pr.__s_;
4692 double __r2 = __r * __r;
4693 double __fx = -0.5 * __r2;
4694 double __fy = __pr.__omega_ * (((__pr.__c3_ * __r2 + __pr.__c2_) *
4695 __r2 + __pr.__c1_) * __r2 + __pr.__c0_);
4696 if (__using_exp_dist)
4698 if (__pr.__c_ * _VSTD::abs(__u) <= __py * _VSTD::exp(__px + __e) -
4699 __fy * _VSTD::exp(__fx + __e))
4704 if (__fy - __u * __fy <= __py * _VSTD::exp(__px - __fx))
4712 template <class _CharT, class _Traits, class _IntType>
4713 basic_ostream<_CharT, _Traits>&
4714 operator<<(basic_ostream<_CharT, _Traits>& __os,
4715 const poisson_distribution<_IntType>& __x)
4717 __save_flags<_CharT, _Traits> __lx(__os);
4718 __os.flags(ios_base::dec | ios_base::left | ios_base::fixed |
4719 ios_base::scientific);
4720 return __os << __x.mean();
4723 template <class _CharT, class _Traits, class _IntType>
4724 basic_istream<_CharT, _Traits>&
4725 operator>>(basic_istream<_CharT, _Traits>& __is,
4726 poisson_distribution<_IntType>& __x)
4728 typedef poisson_distribution<_IntType> _Eng;
4729 typedef typename _Eng::param_type param_type;
4730 __save_flags<_CharT, _Traits> __lx(__is);
4731 __is.flags(ios_base::dec | ios_base::skipws);
4735 __x.param(param_type(__mean));
4739 // weibull_distribution
4741 template<class _RealType = double>
4742 class _LIBCPP_TEMPLATE_VIS weibull_distribution
4746 typedef _RealType result_type;
4748 class _LIBCPP_TEMPLATE_VIS param_type
4753 typedef weibull_distribution distribution_type;
4755 _LIBCPP_INLINE_VISIBILITY
4756 explicit param_type(result_type __a = 1, result_type __b = 1)
4757 : __a_(__a), __b_(__b) {}
4759 _LIBCPP_INLINE_VISIBILITY
4760 result_type a() const {return __a_;}
4761 _LIBCPP_INLINE_VISIBILITY
4762 result_type b() const {return __b_;}
4764 friend _LIBCPP_INLINE_VISIBILITY
4765 bool operator==(const param_type& __x, const param_type& __y)
4766 {return __x.__a_ == __y.__a_ && __x.__b_ == __y.__b_;}
4767 friend _LIBCPP_INLINE_VISIBILITY
4768 bool operator!=(const param_type& __x, const param_type& __y)
4769 {return !(__x == __y);}
4776 // constructor and reset functions
4777 _LIBCPP_INLINE_VISIBILITY
4778 explicit weibull_distribution(result_type __a = 1, result_type __b = 1)
4779 : __p_(param_type(__a, __b)) {}
4780 _LIBCPP_INLINE_VISIBILITY
4781 explicit weibull_distribution(const param_type& __p)
4783 _LIBCPP_INLINE_VISIBILITY
4786 // generating functions
4787 template<class _URNG>
4788 _LIBCPP_INLINE_VISIBILITY
4789 result_type operator()(_URNG& __g)
4790 {return (*this)(__g, __p_);}
4791 template<class _URNG>
4792 _LIBCPP_INLINE_VISIBILITY
4793 result_type operator()(_URNG& __g, const param_type& __p)
4795 _VSTD::pow(exponential_distribution<result_type>()(__g), 1/__p.a());}
4797 // property functions
4798 _LIBCPP_INLINE_VISIBILITY
4799 result_type a() const {return __p_.a();}
4800 _LIBCPP_INLINE_VISIBILITY
4801 result_type b() const {return __p_.b();}
4803 _LIBCPP_INLINE_VISIBILITY
4804 param_type param() const {return __p_;}
4805 _LIBCPP_INLINE_VISIBILITY
4806 void param(const param_type& __p) {__p_ = __p;}
4808 _LIBCPP_INLINE_VISIBILITY
4809 result_type min() const {return 0;}
4810 _LIBCPP_INLINE_VISIBILITY
4811 result_type max() const {return numeric_limits<result_type>::infinity();}
4813 friend _LIBCPP_INLINE_VISIBILITY
4814 bool operator==(const weibull_distribution& __x,
4815 const weibull_distribution& __y)
4816 {return __x.__p_ == __y.__p_;}
4817 friend _LIBCPP_INLINE_VISIBILITY
4818 bool operator!=(const weibull_distribution& __x,
4819 const weibull_distribution& __y)
4820 {return !(__x == __y);}
4823 template <class _CharT, class _Traits, class _RT>
4824 basic_ostream<_CharT, _Traits>&
4825 operator<<(basic_ostream<_CharT, _Traits>& __os,
4826 const weibull_distribution<_RT>& __x)
4828 __save_flags<_CharT, _Traits> __lx(__os);
4829 __os.flags(ios_base::dec | ios_base::left | ios_base::fixed |
4830 ios_base::scientific);
4831 _CharT __sp = __os.widen(' ');
4833 __os << __x.a() << __sp << __x.b();
4837 template <class _CharT, class _Traits, class _RT>
4838 basic_istream<_CharT, _Traits>&
4839 operator>>(basic_istream<_CharT, _Traits>& __is,
4840 weibull_distribution<_RT>& __x)
4842 typedef weibull_distribution<_RT> _Eng;
4843 typedef typename _Eng::result_type result_type;
4844 typedef typename _Eng::param_type param_type;
4845 __save_flags<_CharT, _Traits> __lx(__is);
4846 __is.flags(ios_base::dec | ios_base::skipws);
4851 __x.param(param_type(__a, __b));
4855 template<class _RealType = double>
4856 class _LIBCPP_TEMPLATE_VIS extreme_value_distribution
4860 typedef _RealType result_type;
4862 class _LIBCPP_TEMPLATE_VIS param_type
4867 typedef extreme_value_distribution distribution_type;
4869 _LIBCPP_INLINE_VISIBILITY
4870 explicit param_type(result_type __a = 0, result_type __b = 1)
4871 : __a_(__a), __b_(__b) {}
4873 _LIBCPP_INLINE_VISIBILITY
4874 result_type a() const {return __a_;}
4875 _LIBCPP_INLINE_VISIBILITY
4876 result_type b() const {return __b_;}
4878 friend _LIBCPP_INLINE_VISIBILITY
4879 bool operator==(const param_type& __x, const param_type& __y)
4880 {return __x.__a_ == __y.__a_ && __x.__b_ == __y.__b_;}
4881 friend _LIBCPP_INLINE_VISIBILITY
4882 bool operator!=(const param_type& __x, const param_type& __y)
4883 {return !(__x == __y);}
4890 // constructor and reset functions
4891 _LIBCPP_INLINE_VISIBILITY
4892 explicit extreme_value_distribution(result_type __a = 0, result_type __b = 1)
4893 : __p_(param_type(__a, __b)) {}
4894 _LIBCPP_INLINE_VISIBILITY
4895 explicit extreme_value_distribution(const param_type& __p)
4897 _LIBCPP_INLINE_VISIBILITY
4900 // generating functions
4901 template<class _URNG>
4902 _LIBCPP_INLINE_VISIBILITY
4903 result_type operator()(_URNG& __g)
4904 {return (*this)(__g, __p_);}
4905 template<class _URNG> result_type operator()(_URNG& __g, const param_type& __p);
4907 // property functions
4908 _LIBCPP_INLINE_VISIBILITY
4909 result_type a() const {return __p_.a();}
4910 _LIBCPP_INLINE_VISIBILITY
4911 result_type b() const {return __p_.b();}
4913 _LIBCPP_INLINE_VISIBILITY
4914 param_type param() const {return __p_;}
4915 _LIBCPP_INLINE_VISIBILITY
4916 void param(const param_type& __p) {__p_ = __p;}
4918 _LIBCPP_INLINE_VISIBILITY
4919 result_type min() const {return -numeric_limits<result_type>::infinity();}
4920 _LIBCPP_INLINE_VISIBILITY
4921 result_type max() const {return numeric_limits<result_type>::infinity();}
4923 friend _LIBCPP_INLINE_VISIBILITY
4924 bool operator==(const extreme_value_distribution& __x,
4925 const extreme_value_distribution& __y)
4926 {return __x.__p_ == __y.__p_;}
4927 friend _LIBCPP_INLINE_VISIBILITY
4928 bool operator!=(const extreme_value_distribution& __x,
4929 const extreme_value_distribution& __y)
4930 {return !(__x == __y);}
4933 template<class _RealType>
4934 template<class _URNG>
4936 extreme_value_distribution<_RealType>::operator()(_URNG& __g, const param_type& __p)
4938 return __p.a() - __p.b() *
4939 _VSTD::log(-_VSTD::log(1-uniform_real_distribution<result_type>()(__g)));
4942 template <class _CharT, class _Traits, class _RT>
4943 basic_ostream<_CharT, _Traits>&
4944 operator<<(basic_ostream<_CharT, _Traits>& __os,
4945 const extreme_value_distribution<_RT>& __x)
4947 __save_flags<_CharT, _Traits> __lx(__os);
4948 __os.flags(ios_base::dec | ios_base::left | ios_base::fixed |
4949 ios_base::scientific);
4950 _CharT __sp = __os.widen(' ');
4952 __os << __x.a() << __sp << __x.b();
4956 template <class _CharT, class _Traits, class _RT>
4957 basic_istream<_CharT, _Traits>&
4958 operator>>(basic_istream<_CharT, _Traits>& __is,
4959 extreme_value_distribution<_RT>& __x)
4961 typedef extreme_value_distribution<_RT> _Eng;
4962 typedef typename _Eng::result_type result_type;
4963 typedef typename _Eng::param_type param_type;
4964 __save_flags<_CharT, _Traits> __lx(__is);
4965 __is.flags(ios_base::dec | ios_base::skipws);
4970 __x.param(param_type(__a, __b));
4974 // gamma_distribution
4976 template<class _RealType = double>
4977 class _LIBCPP_TEMPLATE_VIS gamma_distribution
4981 typedef _RealType result_type;
4983 class _LIBCPP_TEMPLATE_VIS param_type
4985 result_type __alpha_;
4986 result_type __beta_;
4988 typedef gamma_distribution distribution_type;
4990 _LIBCPP_INLINE_VISIBILITY
4991 explicit param_type(result_type __alpha = 1, result_type __beta = 1)
4992 : __alpha_(__alpha), __beta_(__beta) {}
4994 _LIBCPP_INLINE_VISIBILITY
4995 result_type alpha() const {return __alpha_;}
4996 _LIBCPP_INLINE_VISIBILITY
4997 result_type beta() const {return __beta_;}
4999 friend _LIBCPP_INLINE_VISIBILITY
5000 bool operator==(const param_type& __x, const param_type& __y)
5001 {return __x.__alpha_ == __y.__alpha_ && __x.__beta_ == __y.__beta_;}
5002 friend _LIBCPP_INLINE_VISIBILITY
5003 bool operator!=(const param_type& __x, const param_type& __y)
5004 {return !(__x == __y);}
5011 // constructors and reset functions
5012 _LIBCPP_INLINE_VISIBILITY
5013 explicit gamma_distribution(result_type __alpha = 1, result_type __beta = 1)
5014 : __p_(param_type(__alpha, __beta)) {}
5015 _LIBCPP_INLINE_VISIBILITY
5016 explicit gamma_distribution(const param_type& __p)
5018 _LIBCPP_INLINE_VISIBILITY
5021 // generating functions
5022 template<class _URNG>
5023 _LIBCPP_INLINE_VISIBILITY
5024 result_type operator()(_URNG& __g)
5025 {return (*this)(__g, __p_);}
5026 template<class _URNG> result_type operator()(_URNG& __g, const param_type& __p);
5028 // property functions
5029 _LIBCPP_INLINE_VISIBILITY
5030 result_type alpha() const {return __p_.alpha();}
5031 _LIBCPP_INLINE_VISIBILITY
5032 result_type beta() const {return __p_.beta();}
5034 _LIBCPP_INLINE_VISIBILITY
5035 param_type param() const {return __p_;}
5036 _LIBCPP_INLINE_VISIBILITY
5037 void param(const param_type& __p) {__p_ = __p;}
5039 _LIBCPP_INLINE_VISIBILITY
5040 result_type min() const {return 0;}
5041 _LIBCPP_INLINE_VISIBILITY
5042 result_type max() const {return numeric_limits<result_type>::infinity();}
5044 friend _LIBCPP_INLINE_VISIBILITY
5045 bool operator==(const gamma_distribution& __x,
5046 const gamma_distribution& __y)
5047 {return __x.__p_ == __y.__p_;}
5048 friend _LIBCPP_INLINE_VISIBILITY
5049 bool operator!=(const gamma_distribution& __x,
5050 const gamma_distribution& __y)
5051 {return !(__x == __y);}
5054 template <class _RealType>
5055 template<class _URNG>
5057 gamma_distribution<_RealType>::operator()(_URNG& __g, const param_type& __p)
5059 result_type __a = __p.alpha();
5060 uniform_real_distribution<result_type> __gen(0, 1);
5061 exponential_distribution<result_type> __egen;
5067 const result_type __b = __a - 1;
5068 const result_type __c = 3 * __a - result_type(0.75);
5071 const result_type __u = __gen(__g);
5072 const result_type __v = __gen(__g);
5073 const result_type __w = __u * (1 - __u);
5076 const result_type __y = _VSTD::sqrt(__c / __w) *
5077 (__u - result_type(0.5));
5081 const result_type __z = 64 * __w * __w * __w * __v * __v;
5082 if (__z <= 1 - 2 * __y * __y / __x)
5084 if (_VSTD::log(__z) <= 2 * (__b * _VSTD::log(__x / __b) - __y))
5094 const result_type __u = __gen(__g);
5095 const result_type __es = __egen(__g);
5098 __x = _VSTD::pow(__u, 1 / __a);
5104 const result_type __e = -_VSTD::log((1-__u)/__a);
5105 __x = _VSTD::pow(1 - __a + __a * __e, 1 / __a);
5106 if (__x <= __e + __es)
5111 return __x * __p.beta();
5114 template <class _CharT, class _Traits, class _RT>
5115 basic_ostream<_CharT, _Traits>&
5116 operator<<(basic_ostream<_CharT, _Traits>& __os,
5117 const gamma_distribution<_RT>& __x)
5119 __save_flags<_CharT, _Traits> __lx(__os);
5120 __os.flags(ios_base::dec | ios_base::left | ios_base::fixed |
5121 ios_base::scientific);
5122 _CharT __sp = __os.widen(' ');
5124 __os << __x.alpha() << __sp << __x.beta();
5128 template <class _CharT, class _Traits, class _RT>
5129 basic_istream<_CharT, _Traits>&
5130 operator>>(basic_istream<_CharT, _Traits>& __is,
5131 gamma_distribution<_RT>& __x)
5133 typedef gamma_distribution<_RT> _Eng;
5134 typedef typename _Eng::result_type result_type;
5135 typedef typename _Eng::param_type param_type;
5136 __save_flags<_CharT, _Traits> __lx(__is);
5137 __is.flags(ios_base::dec | ios_base::skipws);
5138 result_type __alpha;
5140 __is >> __alpha >> __beta;
5142 __x.param(param_type(__alpha, __beta));
5146 // negative_binomial_distribution
5148 template<class _IntType = int>
5149 class _LIBCPP_TEMPLATE_VIS negative_binomial_distribution
5153 typedef _IntType result_type;
5155 class _LIBCPP_TEMPLATE_VIS param_type
5160 typedef negative_binomial_distribution distribution_type;
5162 _LIBCPP_INLINE_VISIBILITY
5163 explicit param_type(result_type __k = 1, double __p = 0.5)
5164 : __k_(__k), __p_(__p) {}
5166 _LIBCPP_INLINE_VISIBILITY
5167 result_type k() const {return __k_;}
5168 _LIBCPP_INLINE_VISIBILITY
5169 double p() const {return __p_;}
5171 friend _LIBCPP_INLINE_VISIBILITY
5172 bool operator==(const param_type& __x, const param_type& __y)
5173 {return __x.__k_ == __y.__k_ && __x.__p_ == __y.__p_;}
5174 friend _LIBCPP_INLINE_VISIBILITY
5175 bool operator!=(const param_type& __x, const param_type& __y)
5176 {return !(__x == __y);}
5183 // constructor and reset functions
5184 _LIBCPP_INLINE_VISIBILITY
5185 explicit negative_binomial_distribution(result_type __k = 1, double __p = 0.5)
5187 _LIBCPP_INLINE_VISIBILITY
5188 explicit negative_binomial_distribution(const param_type& __p) : __p_(__p) {}
5189 _LIBCPP_INLINE_VISIBILITY
5192 // generating functions
5193 template<class _URNG>
5194 _LIBCPP_INLINE_VISIBILITY
5195 result_type operator()(_URNG& __g)
5196 {return (*this)(__g, __p_);}
5197 template<class _URNG> result_type operator()(_URNG& __g, const param_type& __p);
5199 // property functions
5200 _LIBCPP_INLINE_VISIBILITY
5201 result_type k() const {return __p_.k();}
5202 _LIBCPP_INLINE_VISIBILITY
5203 double p() const {return __p_.p();}
5205 _LIBCPP_INLINE_VISIBILITY
5206 param_type param() const {return __p_;}
5207 _LIBCPP_INLINE_VISIBILITY
5208 void param(const param_type& __p) {__p_ = __p;}
5210 _LIBCPP_INLINE_VISIBILITY
5211 result_type min() const {return 0;}
5212 _LIBCPP_INLINE_VISIBILITY
5213 result_type max() const {return numeric_limits<result_type>::max();}
5215 friend _LIBCPP_INLINE_VISIBILITY
5216 bool operator==(const negative_binomial_distribution& __x,
5217 const negative_binomial_distribution& __y)
5218 {return __x.__p_ == __y.__p_;}
5219 friend _LIBCPP_INLINE_VISIBILITY
5220 bool operator!=(const negative_binomial_distribution& __x,
5221 const negative_binomial_distribution& __y)
5222 {return !(__x == __y);}
5225 template <class _IntType>
5226 template<class _URNG>
5228 negative_binomial_distribution<_IntType>::operator()(_URNG& __urng, const param_type& __pr)
5230 result_type __k = __pr.k();
5231 double __p = __pr.p();
5232 if (__k <= 21 * __p)
5234 bernoulli_distribution __gen(__p);
5235 result_type __f = 0;
5236 result_type __s = 0;
5246 return poisson_distribution<result_type>(gamma_distribution<double>
5247 (__k, (1-__p)/__p)(__urng))(__urng);
5250 template <class _CharT, class _Traits, class _IntType>
5251 basic_ostream<_CharT, _Traits>&
5252 operator<<(basic_ostream<_CharT, _Traits>& __os,
5253 const negative_binomial_distribution<_IntType>& __x)
5255 __save_flags<_CharT, _Traits> __lx(__os);
5256 __os.flags(ios_base::dec | ios_base::left | ios_base::fixed |
5257 ios_base::scientific);
5258 _CharT __sp = __os.widen(' ');
5260 return __os << __x.k() << __sp << __x.p();
5263 template <class _CharT, class _Traits, class _IntType>
5264 basic_istream<_CharT, _Traits>&
5265 operator>>(basic_istream<_CharT, _Traits>& __is,
5266 negative_binomial_distribution<_IntType>& __x)
5268 typedef negative_binomial_distribution<_IntType> _Eng;
5269 typedef typename _Eng::result_type result_type;
5270 typedef typename _Eng::param_type param_type;
5271 __save_flags<_CharT, _Traits> __lx(__is);
5272 __is.flags(ios_base::dec | ios_base::skipws);
5277 __x.param(param_type(__k, __p));
5281 // geometric_distribution
5283 template<class _IntType = int>
5284 class _LIBCPP_TEMPLATE_VIS geometric_distribution
5288 typedef _IntType result_type;
5290 class _LIBCPP_TEMPLATE_VIS param_type
5294 typedef geometric_distribution distribution_type;
5296 _LIBCPP_INLINE_VISIBILITY
5297 explicit param_type(double __p = 0.5) : __p_(__p) {}
5299 _LIBCPP_INLINE_VISIBILITY
5300 double p() const {return __p_;}
5302 friend _LIBCPP_INLINE_VISIBILITY
5303 bool operator==(const param_type& __x, const param_type& __y)
5304 {return __x.__p_ == __y.__p_;}
5305 friend _LIBCPP_INLINE_VISIBILITY
5306 bool operator!=(const param_type& __x, const param_type& __y)
5307 {return !(__x == __y);}
5314 // constructors and reset functions
5315 _LIBCPP_INLINE_VISIBILITY
5316 explicit geometric_distribution(double __p = 0.5) : __p_(__p) {}
5317 _LIBCPP_INLINE_VISIBILITY
5318 explicit geometric_distribution(const param_type& __p) : __p_(__p) {}
5319 _LIBCPP_INLINE_VISIBILITY
5322 // generating functions
5323 template<class _URNG>
5324 _LIBCPP_INLINE_VISIBILITY
5325 result_type operator()(_URNG& __g)
5326 {return (*this)(__g, __p_);}
5327 template<class _URNG>
5328 _LIBCPP_INLINE_VISIBILITY
5329 result_type operator()(_URNG& __g, const param_type& __p)
5330 {return negative_binomial_distribution<result_type>(1, __p.p())(__g);}
5332 // property functions
5333 _LIBCPP_INLINE_VISIBILITY
5334 double p() const {return __p_.p();}
5336 _LIBCPP_INLINE_VISIBILITY
5337 param_type param() const {return __p_;}
5338 _LIBCPP_INLINE_VISIBILITY
5339 void param(const param_type& __p) {__p_ = __p;}
5341 _LIBCPP_INLINE_VISIBILITY
5342 result_type min() const {return 0;}
5343 _LIBCPP_INLINE_VISIBILITY
5344 result_type max() const {return numeric_limits<result_type>::max();}
5346 friend _LIBCPP_INLINE_VISIBILITY
5347 bool operator==(const geometric_distribution& __x,
5348 const geometric_distribution& __y)
5349 {return __x.__p_ == __y.__p_;}
5350 friend _LIBCPP_INLINE_VISIBILITY
5351 bool operator!=(const geometric_distribution& __x,
5352 const geometric_distribution& __y)
5353 {return !(__x == __y);}
5356 template <class _CharT, class _Traits, class _IntType>
5357 basic_ostream<_CharT, _Traits>&
5358 operator<<(basic_ostream<_CharT, _Traits>& __os,
5359 const geometric_distribution<_IntType>& __x)
5361 __save_flags<_CharT, _Traits> __lx(__os);
5362 __os.flags(ios_base::dec | ios_base::left | ios_base::fixed |
5363 ios_base::scientific);
5364 return __os << __x.p();
5367 template <class _CharT, class _Traits, class _IntType>
5368 basic_istream<_CharT, _Traits>&
5369 operator>>(basic_istream<_CharT, _Traits>& __is,
5370 geometric_distribution<_IntType>& __x)
5372 typedef geometric_distribution<_IntType> _Eng;
5373 typedef typename _Eng::param_type param_type;
5374 __save_flags<_CharT, _Traits> __lx(__is);
5375 __is.flags(ios_base::dec | ios_base::skipws);
5379 __x.param(param_type(__p));
5383 // chi_squared_distribution
5385 template<class _RealType = double>
5386 class _LIBCPP_TEMPLATE_VIS chi_squared_distribution
5390 typedef _RealType result_type;
5392 class _LIBCPP_TEMPLATE_VIS param_type
5396 typedef chi_squared_distribution distribution_type;
5398 _LIBCPP_INLINE_VISIBILITY
5399 explicit param_type(result_type __n = 1) : __n_(__n) {}
5401 _LIBCPP_INLINE_VISIBILITY
5402 result_type n() const {return __n_;}
5404 friend _LIBCPP_INLINE_VISIBILITY
5405 bool operator==(const param_type& __x, const param_type& __y)
5406 {return __x.__n_ == __y.__n_;}
5407 friend _LIBCPP_INLINE_VISIBILITY
5408 bool operator!=(const param_type& __x, const param_type& __y)
5409 {return !(__x == __y);}
5416 // constructor and reset functions
5417 _LIBCPP_INLINE_VISIBILITY
5418 explicit chi_squared_distribution(result_type __n = 1)
5419 : __p_(param_type(__n)) {}
5420 _LIBCPP_INLINE_VISIBILITY
5421 explicit chi_squared_distribution(const param_type& __p)
5423 _LIBCPP_INLINE_VISIBILITY
5426 // generating functions
5427 template<class _URNG>
5428 _LIBCPP_INLINE_VISIBILITY
5429 result_type operator()(_URNG& __g)
5430 {return (*this)(__g, __p_);}
5431 template<class _URNG>
5432 _LIBCPP_INLINE_VISIBILITY
5433 result_type operator()(_URNG& __g, const param_type& __p)
5434 {return gamma_distribution<result_type>(__p.n() / 2, 2)(__g);}
5436 // property functions
5437 _LIBCPP_INLINE_VISIBILITY
5438 result_type n() const {return __p_.n();}
5440 _LIBCPP_INLINE_VISIBILITY
5441 param_type param() const {return __p_;}
5442 _LIBCPP_INLINE_VISIBILITY
5443 void param(const param_type& __p) {__p_ = __p;}
5445 _LIBCPP_INLINE_VISIBILITY
5446 result_type min() const {return 0;}
5447 _LIBCPP_INLINE_VISIBILITY
5448 result_type max() const {return numeric_limits<result_type>::infinity();}
5450 friend _LIBCPP_INLINE_VISIBILITY
5451 bool operator==(const chi_squared_distribution& __x,
5452 const chi_squared_distribution& __y)
5453 {return __x.__p_ == __y.__p_;}
5454 friend _LIBCPP_INLINE_VISIBILITY
5455 bool operator!=(const chi_squared_distribution& __x,
5456 const chi_squared_distribution& __y)
5457 {return !(__x == __y);}
5460 template <class _CharT, class _Traits, class _RT>
5461 basic_ostream<_CharT, _Traits>&
5462 operator<<(basic_ostream<_CharT, _Traits>& __os,
5463 const chi_squared_distribution<_RT>& __x)
5465 __save_flags<_CharT, _Traits> __lx(__os);
5466 __os.flags(ios_base::dec | ios_base::left | ios_base::fixed |
5467 ios_base::scientific);
5472 template <class _CharT, class _Traits, class _RT>
5473 basic_istream<_CharT, _Traits>&
5474 operator>>(basic_istream<_CharT, _Traits>& __is,
5475 chi_squared_distribution<_RT>& __x)
5477 typedef chi_squared_distribution<_RT> _Eng;
5478 typedef typename _Eng::result_type result_type;
5479 typedef typename _Eng::param_type param_type;
5480 __save_flags<_CharT, _Traits> __lx(__is);
5481 __is.flags(ios_base::dec | ios_base::skipws);
5485 __x.param(param_type(__n));
5489 // cauchy_distribution
5491 template<class _RealType = double>
5492 class _LIBCPP_TEMPLATE_VIS cauchy_distribution
5496 typedef _RealType result_type;
5498 class _LIBCPP_TEMPLATE_VIS param_type
5503 typedef cauchy_distribution distribution_type;
5505 _LIBCPP_INLINE_VISIBILITY
5506 explicit param_type(result_type __a = 0, result_type __b = 1)
5507 : __a_(__a), __b_(__b) {}
5509 _LIBCPP_INLINE_VISIBILITY
5510 result_type a() const {return __a_;}
5511 _LIBCPP_INLINE_VISIBILITY
5512 result_type b() const {return __b_;}
5514 friend _LIBCPP_INLINE_VISIBILITY
5515 bool operator==(const param_type& __x, const param_type& __y)
5516 {return __x.__a_ == __y.__a_ && __x.__b_ == __y.__b_;}
5517 friend _LIBCPP_INLINE_VISIBILITY
5518 bool operator!=(const param_type& __x, const param_type& __y)
5519 {return !(__x == __y);}
5526 // constructor and reset functions
5527 _LIBCPP_INLINE_VISIBILITY
5528 explicit cauchy_distribution(result_type __a = 0, result_type __b = 1)
5529 : __p_(param_type(__a, __b)) {}
5530 _LIBCPP_INLINE_VISIBILITY
5531 explicit cauchy_distribution(const param_type& __p)
5533 _LIBCPP_INLINE_VISIBILITY
5536 // generating functions
5537 template<class _URNG>
5538 _LIBCPP_INLINE_VISIBILITY
5539 result_type operator()(_URNG& __g)
5540 {return (*this)(__g, __p_);}
5541 template<class _URNG> _LIBCPP_INLINE_VISIBILITY result_type operator()(_URNG& __g, const param_type& __p);
5543 // property functions
5544 _LIBCPP_INLINE_VISIBILITY
5545 result_type a() const {return __p_.a();}
5546 _LIBCPP_INLINE_VISIBILITY
5547 result_type b() const {return __p_.b();}
5549 _LIBCPP_INLINE_VISIBILITY
5550 param_type param() const {return __p_;}
5551 _LIBCPP_INLINE_VISIBILITY
5552 void param(const param_type& __p) {__p_ = __p;}
5554 _LIBCPP_INLINE_VISIBILITY
5555 result_type min() const {return -numeric_limits<result_type>::infinity();}
5556 _LIBCPP_INLINE_VISIBILITY
5557 result_type max() const {return numeric_limits<result_type>::infinity();}
5559 friend _LIBCPP_INLINE_VISIBILITY
5560 bool operator==(const cauchy_distribution& __x,
5561 const cauchy_distribution& __y)
5562 {return __x.__p_ == __y.__p_;}
5563 friend _LIBCPP_INLINE_VISIBILITY
5564 bool operator!=(const cauchy_distribution& __x,
5565 const cauchy_distribution& __y)
5566 {return !(__x == __y);}
5569 template <class _RealType>
5570 template<class _URNG>
5573 cauchy_distribution<_RealType>::operator()(_URNG& __g, const param_type& __p)
5575 uniform_real_distribution<result_type> __gen;
5576 // purposefully let tan arg get as close to pi/2 as it wants, tan will return a finite
5577 return __p.a() + __p.b() * _VSTD::tan(3.1415926535897932384626433832795 * __gen(__g));
5580 template <class _CharT, class _Traits, class _RT>
5581 basic_ostream<_CharT, _Traits>&
5582 operator<<(basic_ostream<_CharT, _Traits>& __os,
5583 const cauchy_distribution<_RT>& __x)
5585 __save_flags<_CharT, _Traits> __lx(__os);
5586 __os.flags(ios_base::dec | ios_base::left | ios_base::fixed |
5587 ios_base::scientific);
5588 _CharT __sp = __os.widen(' ');
5590 __os << __x.a() << __sp << __x.b();
5594 template <class _CharT, class _Traits, class _RT>
5595 basic_istream<_CharT, _Traits>&
5596 operator>>(basic_istream<_CharT, _Traits>& __is,
5597 cauchy_distribution<_RT>& __x)
5599 typedef cauchy_distribution<_RT> _Eng;
5600 typedef typename _Eng::result_type result_type;
5601 typedef typename _Eng::param_type param_type;
5602 __save_flags<_CharT, _Traits> __lx(__is);
5603 __is.flags(ios_base::dec | ios_base::skipws);
5608 __x.param(param_type(__a, __b));
5612 // fisher_f_distribution
5614 template<class _RealType = double>
5615 class _LIBCPP_TEMPLATE_VIS fisher_f_distribution
5619 typedef _RealType result_type;
5621 class _LIBCPP_TEMPLATE_VIS param_type
5626 typedef fisher_f_distribution distribution_type;
5628 _LIBCPP_INLINE_VISIBILITY
5629 explicit param_type(result_type __m = 1, result_type __n = 1)
5630 : __m_(__m), __n_(__n) {}
5632 _LIBCPP_INLINE_VISIBILITY
5633 result_type m() const {return __m_;}
5634 _LIBCPP_INLINE_VISIBILITY
5635 result_type n() const {return __n_;}
5637 friend _LIBCPP_INLINE_VISIBILITY
5638 bool operator==(const param_type& __x, const param_type& __y)
5639 {return __x.__m_ == __y.__m_ && __x.__n_ == __y.__n_;}
5640 friend _LIBCPP_INLINE_VISIBILITY
5641 bool operator!=(const param_type& __x, const param_type& __y)
5642 {return !(__x == __y);}
5649 // constructor and reset functions
5650 _LIBCPP_INLINE_VISIBILITY
5651 explicit fisher_f_distribution(result_type __m = 1, result_type __n = 1)
5652 : __p_(param_type(__m, __n)) {}
5653 _LIBCPP_INLINE_VISIBILITY
5654 explicit fisher_f_distribution(const param_type& __p)
5656 _LIBCPP_INLINE_VISIBILITY
5659 // generating functions
5660 template<class _URNG>
5661 _LIBCPP_INLINE_VISIBILITY
5662 result_type operator()(_URNG& __g)
5663 {return (*this)(__g, __p_);}
5664 template<class _URNG> result_type operator()(_URNG& __g, const param_type& __p);
5666 // property functions
5667 _LIBCPP_INLINE_VISIBILITY
5668 result_type m() const {return __p_.m();}
5669 _LIBCPP_INLINE_VISIBILITY
5670 result_type n() const {return __p_.n();}
5672 _LIBCPP_INLINE_VISIBILITY
5673 param_type param() const {return __p_;}
5674 _LIBCPP_INLINE_VISIBILITY
5675 void param(const param_type& __p) {__p_ = __p;}
5677 _LIBCPP_INLINE_VISIBILITY
5678 result_type min() const {return 0;}
5679 _LIBCPP_INLINE_VISIBILITY
5680 result_type max() const {return numeric_limits<result_type>::infinity();}
5682 friend _LIBCPP_INLINE_VISIBILITY
5683 bool operator==(const fisher_f_distribution& __x,
5684 const fisher_f_distribution& __y)
5685 {return __x.__p_ == __y.__p_;}
5686 friend _LIBCPP_INLINE_VISIBILITY
5687 bool operator!=(const fisher_f_distribution& __x,
5688 const fisher_f_distribution& __y)
5689 {return !(__x == __y);}
5692 template <class _RealType>
5693 template<class _URNG>
5695 fisher_f_distribution<_RealType>::operator()(_URNG& __g, const param_type& __p)
5697 gamma_distribution<result_type> __gdm(__p.m() * result_type(.5));
5698 gamma_distribution<result_type> __gdn(__p.n() * result_type(.5));
5699 return __p.n() * __gdm(__g) / (__p.m() * __gdn(__g));
5702 template <class _CharT, class _Traits, class _RT>
5703 basic_ostream<_CharT, _Traits>&
5704 operator<<(basic_ostream<_CharT, _Traits>& __os,
5705 const fisher_f_distribution<_RT>& __x)
5707 __save_flags<_CharT, _Traits> __lx(__os);
5708 __os.flags(ios_base::dec | ios_base::left | ios_base::fixed |
5709 ios_base::scientific);
5710 _CharT __sp = __os.widen(' ');
5712 __os << __x.m() << __sp << __x.n();
5716 template <class _CharT, class _Traits, class _RT>
5717 basic_istream<_CharT, _Traits>&
5718 operator>>(basic_istream<_CharT, _Traits>& __is,
5719 fisher_f_distribution<_RT>& __x)
5721 typedef fisher_f_distribution<_RT> _Eng;
5722 typedef typename _Eng::result_type result_type;
5723 typedef typename _Eng::param_type param_type;
5724 __save_flags<_CharT, _Traits> __lx(__is);
5725 __is.flags(ios_base::dec | ios_base::skipws);
5730 __x.param(param_type(__m, __n));
5734 // student_t_distribution
5736 template<class _RealType = double>
5737 class _LIBCPP_TEMPLATE_VIS student_t_distribution
5741 typedef _RealType result_type;
5743 class _LIBCPP_TEMPLATE_VIS param_type
5747 typedef student_t_distribution distribution_type;
5749 _LIBCPP_INLINE_VISIBILITY
5750 explicit param_type(result_type __n = 1) : __n_(__n) {}
5752 _LIBCPP_INLINE_VISIBILITY
5753 result_type n() const {return __n_;}
5755 friend _LIBCPP_INLINE_VISIBILITY
5756 bool operator==(const param_type& __x, const param_type& __y)
5757 {return __x.__n_ == __y.__n_;}
5758 friend _LIBCPP_INLINE_VISIBILITY
5759 bool operator!=(const param_type& __x, const param_type& __y)
5760 {return !(__x == __y);}
5765 normal_distribution<result_type> __nd_;
5768 // constructor and reset functions
5769 _LIBCPP_INLINE_VISIBILITY
5770 explicit student_t_distribution(result_type __n = 1)
5771 : __p_(param_type(__n)) {}
5772 _LIBCPP_INLINE_VISIBILITY
5773 explicit student_t_distribution(const param_type& __p)
5775 _LIBCPP_INLINE_VISIBILITY
5776 void reset() {__nd_.reset();}
5778 // generating functions
5779 template<class _URNG>
5780 _LIBCPP_INLINE_VISIBILITY
5781 result_type operator()(_URNG& __g)
5782 {return (*this)(__g, __p_);}
5783 template<class _URNG> result_type operator()(_URNG& __g, const param_type& __p);
5785 // property functions
5786 _LIBCPP_INLINE_VISIBILITY
5787 result_type n() const {return __p_.n();}
5789 _LIBCPP_INLINE_VISIBILITY
5790 param_type param() const {return __p_;}
5791 _LIBCPP_INLINE_VISIBILITY
5792 void param(const param_type& __p) {__p_ = __p;}
5794 _LIBCPP_INLINE_VISIBILITY
5795 result_type min() const {return -numeric_limits<result_type>::infinity();}
5796 _LIBCPP_INLINE_VISIBILITY
5797 result_type max() const {return numeric_limits<result_type>::infinity();}
5799 friend _LIBCPP_INLINE_VISIBILITY
5800 bool operator==(const student_t_distribution& __x,
5801 const student_t_distribution& __y)
5802 {return __x.__p_ == __y.__p_;}
5803 friend _LIBCPP_INLINE_VISIBILITY
5804 bool operator!=(const student_t_distribution& __x,
5805 const student_t_distribution& __y)
5806 {return !(__x == __y);}
5809 template <class _RealType>
5810 template<class _URNG>
5812 student_t_distribution<_RealType>::operator()(_URNG& __g, const param_type& __p)
5814 gamma_distribution<result_type> __gd(__p.n() * .5, 2);
5815 return __nd_(__g) * _VSTD::sqrt(__p.n()/__gd(__g));
5818 template <class _CharT, class _Traits, class _RT>
5819 basic_ostream<_CharT, _Traits>&
5820 operator<<(basic_ostream<_CharT, _Traits>& __os,
5821 const student_t_distribution<_RT>& __x)
5823 __save_flags<_CharT, _Traits> __lx(__os);
5824 __os.flags(ios_base::dec | ios_base::left | ios_base::fixed |
5825 ios_base::scientific);
5830 template <class _CharT, class _Traits, class _RT>
5831 basic_istream<_CharT, _Traits>&
5832 operator>>(basic_istream<_CharT, _Traits>& __is,
5833 student_t_distribution<_RT>& __x)
5835 typedef student_t_distribution<_RT> _Eng;
5836 typedef typename _Eng::result_type result_type;
5837 typedef typename _Eng::param_type param_type;
5838 __save_flags<_CharT, _Traits> __lx(__is);
5839 __is.flags(ios_base::dec | ios_base::skipws);
5843 __x.param(param_type(__n));
5847 // discrete_distribution
5849 template<class _IntType = int>
5850 class _LIBCPP_TEMPLATE_VIS discrete_distribution
5854 typedef _IntType result_type;
5856 class _LIBCPP_TEMPLATE_VIS param_type
5858 vector<double> __p_;
5860 typedef discrete_distribution distribution_type;
5862 _LIBCPP_INLINE_VISIBILITY
5864 template<class _InputIterator>
5865 _LIBCPP_INLINE_VISIBILITY
5866 param_type(_InputIterator __f, _InputIterator __l)
5867 : __p_(__f, __l) {__init();}
5868 #ifndef _LIBCPP_CXX03_LANG
5869 _LIBCPP_INLINE_VISIBILITY
5870 param_type(initializer_list<double> __wl)
5871 : __p_(__wl.begin(), __wl.end()) {__init();}
5872 #endif // _LIBCPP_CXX03_LANG
5873 template<class _UnaryOperation>
5874 param_type(size_t __nw, double __xmin, double __xmax,
5875 _UnaryOperation __fw);
5877 vector<double> probabilities() const;
5879 friend _LIBCPP_INLINE_VISIBILITY
5880 bool operator==(const param_type& __x, const param_type& __y)
5881 {return __x.__p_ == __y.__p_;}
5882 friend _LIBCPP_INLINE_VISIBILITY
5883 bool operator!=(const param_type& __x, const param_type& __y)
5884 {return !(__x == __y);}
5889 friend class discrete_distribution;
5891 template <class _CharT, class _Traits, class _IT>
5893 basic_ostream<_CharT, _Traits>&
5894 operator<<(basic_ostream<_CharT, _Traits>& __os,
5895 const discrete_distribution<_IT>& __x);
5897 template <class _CharT, class _Traits, class _IT>
5899 basic_istream<_CharT, _Traits>&
5900 operator>>(basic_istream<_CharT, _Traits>& __is,
5901 discrete_distribution<_IT>& __x);
5908 // constructor and reset functions
5909 _LIBCPP_INLINE_VISIBILITY
5910 discrete_distribution() {}
5911 template<class _InputIterator>
5912 _LIBCPP_INLINE_VISIBILITY
5913 discrete_distribution(_InputIterator __f, _InputIterator __l)
5915 #ifndef _LIBCPP_CXX03_LANG
5916 _LIBCPP_INLINE_VISIBILITY
5917 discrete_distribution(initializer_list<double> __wl)
5919 #endif // _LIBCPP_CXX03_LANG
5920 template<class _UnaryOperation>
5921 _LIBCPP_INLINE_VISIBILITY
5922 discrete_distribution(size_t __nw, double __xmin, double __xmax,
5923 _UnaryOperation __fw)
5924 : __p_(__nw, __xmin, __xmax, __fw) {}
5925 _LIBCPP_INLINE_VISIBILITY
5926 explicit discrete_distribution(const param_type& __p)
5928 _LIBCPP_INLINE_VISIBILITY
5931 // generating functions
5932 template<class _URNG>
5933 _LIBCPP_INLINE_VISIBILITY
5934 result_type operator()(_URNG& __g)
5935 {return (*this)(__g, __p_);}
5936 template<class _URNG> result_type operator()(_URNG& __g, const param_type& __p);
5938 // property functions
5939 _LIBCPP_INLINE_VISIBILITY
5940 vector<double> probabilities() const {return __p_.probabilities();}
5942 _LIBCPP_INLINE_VISIBILITY
5943 param_type param() const {return __p_;}
5944 _LIBCPP_INLINE_VISIBILITY
5945 void param(const param_type& __p) {__p_ = __p;}
5947 _LIBCPP_INLINE_VISIBILITY
5948 result_type min() const {return 0;}
5949 _LIBCPP_INLINE_VISIBILITY
5950 result_type max() const {return __p_.__p_.size();}
5952 friend _LIBCPP_INLINE_VISIBILITY
5953 bool operator==(const discrete_distribution& __x,
5954 const discrete_distribution& __y)
5955 {return __x.__p_ == __y.__p_;}
5956 friend _LIBCPP_INLINE_VISIBILITY
5957 bool operator!=(const discrete_distribution& __x,
5958 const discrete_distribution& __y)
5959 {return !(__x == __y);}
5961 template <class _CharT, class _Traits, class _IT>
5963 basic_ostream<_CharT, _Traits>&
5964 operator<<(basic_ostream<_CharT, _Traits>& __os,
5965 const discrete_distribution<_IT>& __x);
5967 template <class _CharT, class _Traits, class _IT>
5969 basic_istream<_CharT, _Traits>&
5970 operator>>(basic_istream<_CharT, _Traits>& __is,
5971 discrete_distribution<_IT>& __x);
5974 template<class _IntType>
5975 template<class _UnaryOperation>
5976 discrete_distribution<_IntType>::param_type::param_type(size_t __nw,
5979 _UnaryOperation __fw)
5983 __p_.reserve(__nw - 1);
5984 double __d = (__xmax - __xmin) / __nw;
5985 double __d2 = __d / 2;
5986 for (size_t __k = 0; __k < __nw; ++__k)
5987 __p_.push_back(__fw(__xmin + __k * __d + __d2));
5992 template<class _IntType>
5994 discrete_distribution<_IntType>::param_type::__init()
5998 if (__p_.size() > 1)
6000 double __s = _VSTD::accumulate(__p_.begin(), __p_.end(), 0.0);
6001 for (_VSTD::vector<double>::iterator __i = __p_.begin(), __e = __p_.end();
6004 vector<double> __t(__p_.size() - 1);
6005 _VSTD::partial_sum(__p_.begin(), __p_.end() - 1, __t.begin());
6011 __p_.shrink_to_fit();
6016 template<class _IntType>
6018 discrete_distribution<_IntType>::param_type::probabilities() const
6020 size_t __n = __p_.size();
6021 _VSTD::vector<double> __p(__n+1);
6022 _VSTD::adjacent_difference(__p_.begin(), __p_.end(), __p.begin());
6024 __p[__n] = 1 - __p_[__n-1];
6030 template<class _IntType>
6031 template<class _URNG>
6033 discrete_distribution<_IntType>::operator()(_URNG& __g, const param_type& __p)
6035 uniform_real_distribution<double> __gen;
6036 return static_cast<_IntType>(
6037 _VSTD::upper_bound(__p.__p_.begin(), __p.__p_.end(), __gen(__g)) -
6041 template <class _CharT, class _Traits, class _IT>
6042 basic_ostream<_CharT, _Traits>&
6043 operator<<(basic_ostream<_CharT, _Traits>& __os,
6044 const discrete_distribution<_IT>& __x)
6046 __save_flags<_CharT, _Traits> __lx(__os);
6047 __os.flags(ios_base::dec | ios_base::left | ios_base::fixed |
6048 ios_base::scientific);
6049 _CharT __sp = __os.widen(' ');
6051 size_t __n = __x.__p_.__p_.size();
6053 for (size_t __i = 0; __i < __n; ++__i)
6054 __os << __sp << __x.__p_.__p_[__i];
6058 template <class _CharT, class _Traits, class _IT>
6059 basic_istream<_CharT, _Traits>&
6060 operator>>(basic_istream<_CharT, _Traits>& __is,
6061 discrete_distribution<_IT>& __x)
6063 __save_flags<_CharT, _Traits> __lx(__is);
6064 __is.flags(ios_base::dec | ios_base::skipws);
6067 vector<double> __p(__n);
6068 for (size_t __i = 0; __i < __n; ++__i)
6071 swap(__x.__p_.__p_, __p);
6075 // piecewise_constant_distribution
6077 template<class _RealType = double>
6078 class _LIBCPP_TEMPLATE_VIS piecewise_constant_distribution
6082 typedef _RealType result_type;
6084 class _LIBCPP_TEMPLATE_VIS param_type
6086 vector<result_type> __b_;
6087 vector<result_type> __densities_;
6088 vector<result_type> __areas_;
6090 typedef piecewise_constant_distribution distribution_type;
6093 template<class _InputIteratorB, class _InputIteratorW>
6094 param_type(_InputIteratorB __fB, _InputIteratorB __lB,
6095 _InputIteratorW __fW);
6096 #ifndef _LIBCPP_CXX03_LANG
6097 template<class _UnaryOperation>
6098 param_type(initializer_list<result_type> __bl, _UnaryOperation __fw);
6099 #endif // _LIBCPP_CXX03_LANG
6100 template<class _UnaryOperation>
6101 param_type(size_t __nw, result_type __xmin, result_type __xmax,
6102 _UnaryOperation __fw);
6103 param_type & operator=(const param_type& __rhs);
6105 _LIBCPP_INLINE_VISIBILITY
6106 vector<result_type> intervals() const {return __b_;}
6107 _LIBCPP_INLINE_VISIBILITY
6108 vector<result_type> densities() const {return __densities_;}
6110 friend _LIBCPP_INLINE_VISIBILITY
6111 bool operator==(const param_type& __x, const param_type& __y)
6112 {return __x.__densities_ == __y.__densities_ && __x.__b_ == __y.__b_;}
6113 friend _LIBCPP_INLINE_VISIBILITY
6114 bool operator!=(const param_type& __x, const param_type& __y)
6115 {return !(__x == __y);}
6120 friend class piecewise_constant_distribution;
6122 template <class _CharT, class _Traits, class _RT>
6124 basic_ostream<_CharT, _Traits>&
6125 operator<<(basic_ostream<_CharT, _Traits>& __os,
6126 const piecewise_constant_distribution<_RT>& __x);
6128 template <class _CharT, class _Traits, class _RT>
6130 basic_istream<_CharT, _Traits>&
6131 operator>>(basic_istream<_CharT, _Traits>& __is,
6132 piecewise_constant_distribution<_RT>& __x);
6139 // constructor and reset functions
6140 _LIBCPP_INLINE_VISIBILITY
6141 piecewise_constant_distribution() {}
6142 template<class _InputIteratorB, class _InputIteratorW>
6143 _LIBCPP_INLINE_VISIBILITY
6144 piecewise_constant_distribution(_InputIteratorB __fB,
6145 _InputIteratorB __lB,
6146 _InputIteratorW __fW)
6147 : __p_(__fB, __lB, __fW) {}
6149 #ifndef _LIBCPP_CXX03_LANG
6150 template<class _UnaryOperation>
6151 _LIBCPP_INLINE_VISIBILITY
6152 piecewise_constant_distribution(initializer_list<result_type> __bl,
6153 _UnaryOperation __fw)
6154 : __p_(__bl, __fw) {}
6155 #endif // _LIBCPP_CXX03_LANG
6157 template<class _UnaryOperation>
6158 _LIBCPP_INLINE_VISIBILITY
6159 piecewise_constant_distribution(size_t __nw, result_type __xmin,
6160 result_type __xmax, _UnaryOperation __fw)
6161 : __p_(__nw, __xmin, __xmax, __fw) {}
6163 _LIBCPP_INLINE_VISIBILITY
6164 explicit piecewise_constant_distribution(const param_type& __p)
6167 _LIBCPP_INLINE_VISIBILITY
6170 // generating functions
6171 template<class _URNG>
6172 _LIBCPP_INLINE_VISIBILITY
6173 result_type operator()(_URNG& __g)
6174 {return (*this)(__g, __p_);}
6175 template<class _URNG> result_type operator()(_URNG& __g, const param_type& __p);
6177 // property functions
6178 _LIBCPP_INLINE_VISIBILITY
6179 vector<result_type> intervals() const {return __p_.intervals();}
6180 _LIBCPP_INLINE_VISIBILITY
6181 vector<result_type> densities() const {return __p_.densities();}
6183 _LIBCPP_INLINE_VISIBILITY
6184 param_type param() const {return __p_;}
6185 _LIBCPP_INLINE_VISIBILITY
6186 void param(const param_type& __p) {__p_ = __p;}
6188 _LIBCPP_INLINE_VISIBILITY
6189 result_type min() const {return __p_.__b_.front();}
6190 _LIBCPP_INLINE_VISIBILITY
6191 result_type max() const {return __p_.__b_.back();}
6193 friend _LIBCPP_INLINE_VISIBILITY
6194 bool operator==(const piecewise_constant_distribution& __x,
6195 const piecewise_constant_distribution& __y)
6196 {return __x.__p_ == __y.__p_;}
6197 friend _LIBCPP_INLINE_VISIBILITY
6198 bool operator!=(const piecewise_constant_distribution& __x,
6199 const piecewise_constant_distribution& __y)
6200 {return !(__x == __y);}
6202 template <class _CharT, class _Traits, class _RT>
6204 basic_ostream<_CharT, _Traits>&
6205 operator<<(basic_ostream<_CharT, _Traits>& __os,
6206 const piecewise_constant_distribution<_RT>& __x);
6208 template <class _CharT, class _Traits, class _RT>
6210 basic_istream<_CharT, _Traits>&
6211 operator>>(basic_istream<_CharT, _Traits>& __is,
6212 piecewise_constant_distribution<_RT>& __x);
6215 template<class _RealType>
6216 typename piecewise_constant_distribution<_RealType>::param_type &
6217 piecewise_constant_distribution<_RealType>::param_type::operator=
6218 (const param_type& __rhs)
6221 __b_.reserve (__rhs.__b_.size ());
6222 __densities_.reserve(__rhs.__densities_.size());
6223 __areas_.reserve (__rhs.__areas_.size());
6225 // These can not throw
6227 __densities_ = __rhs.__densities_;
6228 __areas_ = __rhs.__areas_;
6232 template<class _RealType>
6234 piecewise_constant_distribution<_RealType>::param_type::__init()
6236 // __densities_ contains non-normalized areas
6237 result_type __total_area = _VSTD::accumulate(__densities_.begin(),
6240 for (size_t __i = 0; __i < __densities_.size(); ++__i)
6241 __densities_[__i] /= __total_area;
6242 // __densities_ contains normalized areas
6243 __areas_.assign(__densities_.size(), result_type());
6244 _VSTD::partial_sum(__densities_.begin(), __densities_.end() - 1,
6245 __areas_.begin() + 1);
6246 // __areas_ contains partial sums of normalized areas: [0, __densities_ - 1]
6247 __densities_.back() = 1 - __areas_.back(); // correct round off error
6248 for (size_t __i = 0; __i < __densities_.size(); ++__i)
6249 __densities_[__i] /= (__b_[__i+1] - __b_[__i]);
6250 // __densities_ now contains __densities_
6253 template<class _RealType>
6254 piecewise_constant_distribution<_RealType>::param_type::param_type()
6256 __densities_(1, 1.0),
6262 template<class _RealType>
6263 template<class _InputIteratorB, class _InputIteratorW>
6264 piecewise_constant_distribution<_RealType>::param_type::param_type(
6265 _InputIteratorB __fB, _InputIteratorB __lB, _InputIteratorW __fW)
6268 if (__b_.size() < 2)
6273 __densities_.assign(1, 1.0);
6274 __areas_.assign(1, 0.0);
6278 __densities_.reserve(__b_.size() - 1);
6279 for (size_t __i = 0; __i < __b_.size() - 1; ++__i, ++__fW)
6280 __densities_.push_back(*__fW);
6285 #ifndef _LIBCPP_CXX03_LANG
6287 template<class _RealType>
6288 template<class _UnaryOperation>
6289 piecewise_constant_distribution<_RealType>::param_type::param_type(
6290 initializer_list<result_type> __bl, _UnaryOperation __fw)
6291 : __b_(__bl.begin(), __bl.end())
6293 if (__b_.size() < 2)
6298 __densities_.assign(1, 1.0);
6299 __areas_.assign(1, 0.0);
6303 __densities_.reserve(__b_.size() - 1);
6304 for (size_t __i = 0; __i < __b_.size() - 1; ++__i)
6305 __densities_.push_back(__fw((__b_[__i+1] + __b_[__i])*.5));
6310 #endif // _LIBCPP_CXX03_LANG
6312 template<class _RealType>
6313 template<class _UnaryOperation>
6314 piecewise_constant_distribution<_RealType>::param_type::param_type(
6315 size_t __nw, result_type __xmin, result_type __xmax, _UnaryOperation __fw)
6316 : __b_(__nw == 0 ? 2 : __nw + 1)
6318 size_t __n = __b_.size() - 1;
6319 result_type __d = (__xmax - __xmin) / __n;
6320 __densities_.reserve(__n);
6321 for (size_t __i = 0; __i < __n; ++__i)
6323 __b_[__i] = __xmin + __i * __d;
6324 __densities_.push_back(__fw(__b_[__i] + __d*.5));
6330 template<class _RealType>
6331 template<class _URNG>
6333 piecewise_constant_distribution<_RealType>::operator()(_URNG& __g, const param_type& __p)
6335 typedef uniform_real_distribution<result_type> _Gen;
6336 result_type __u = _Gen()(__g);
6337 ptrdiff_t __k = _VSTD::upper_bound(__p.__areas_.begin(), __p.__areas_.end(),
6338 __u) - __p.__areas_.begin() - 1;
6339 return (__u - __p.__areas_[__k]) / __p.__densities_[__k] + __p.__b_[__k];
6342 template <class _CharT, class _Traits, class _RT>
6343 basic_ostream<_CharT, _Traits>&
6344 operator<<(basic_ostream<_CharT, _Traits>& __os,
6345 const piecewise_constant_distribution<_RT>& __x)
6347 __save_flags<_CharT, _Traits> __lx(__os);
6348 __os.flags(ios_base::dec | ios_base::left | ios_base::fixed |
6349 ios_base::scientific);
6350 _CharT __sp = __os.widen(' ');
6352 size_t __n = __x.__p_.__b_.size();
6354 for (size_t __i = 0; __i < __n; ++__i)
6355 __os << __sp << __x.__p_.__b_[__i];
6356 __n = __x.__p_.__densities_.size();
6357 __os << __sp << __n;
6358 for (size_t __i = 0; __i < __n; ++__i)
6359 __os << __sp << __x.__p_.__densities_[__i];
6360 __n = __x.__p_.__areas_.size();
6361 __os << __sp << __n;
6362 for (size_t __i = 0; __i < __n; ++__i)
6363 __os << __sp << __x.__p_.__areas_[__i];
6367 template <class _CharT, class _Traits, class _RT>
6368 basic_istream<_CharT, _Traits>&
6369 operator>>(basic_istream<_CharT, _Traits>& __is,
6370 piecewise_constant_distribution<_RT>& __x)
6372 typedef piecewise_constant_distribution<_RT> _Eng;
6373 typedef typename _Eng::result_type result_type;
6374 __save_flags<_CharT, _Traits> __lx(__is);
6375 __is.flags(ios_base::dec | ios_base::skipws);
6378 vector<result_type> __b(__n);
6379 for (size_t __i = 0; __i < __n; ++__i)
6382 vector<result_type> __densities(__n);
6383 for (size_t __i = 0; __i < __n; ++__i)
6384 __is >> __densities[__i];
6386 vector<result_type> __areas(__n);
6387 for (size_t __i = 0; __i < __n; ++__i)
6388 __is >> __areas[__i];
6391 swap(__x.__p_.__b_, __b);
6392 swap(__x.__p_.__densities_, __densities);
6393 swap(__x.__p_.__areas_, __areas);
6398 // piecewise_linear_distribution
6400 template<class _RealType = double>
6401 class _LIBCPP_TEMPLATE_VIS piecewise_linear_distribution
6405 typedef _RealType result_type;
6407 class _LIBCPP_TEMPLATE_VIS param_type
6409 vector<result_type> __b_;
6410 vector<result_type> __densities_;
6411 vector<result_type> __areas_;
6413 typedef piecewise_linear_distribution distribution_type;
6416 template<class _InputIteratorB, class _InputIteratorW>
6417 param_type(_InputIteratorB __fB, _InputIteratorB __lB,
6418 _InputIteratorW __fW);
6419 #ifndef _LIBCPP_CXX03_LANG
6420 template<class _UnaryOperation>
6421 param_type(initializer_list<result_type> __bl, _UnaryOperation __fw);
6422 #endif // _LIBCPP_CXX03_LANG
6423 template<class _UnaryOperation>
6424 param_type(size_t __nw, result_type __xmin, result_type __xmax,
6425 _UnaryOperation __fw);
6426 param_type & operator=(const param_type& __rhs);
6428 _LIBCPP_INLINE_VISIBILITY
6429 vector<result_type> intervals() const {return __b_;}
6430 _LIBCPP_INLINE_VISIBILITY
6431 vector<result_type> densities() const {return __densities_;}
6433 friend _LIBCPP_INLINE_VISIBILITY
6434 bool operator==(const param_type& __x, const param_type& __y)
6435 {return __x.__densities_ == __y.__densities_ && __x.__b_ == __y.__b_;}
6436 friend _LIBCPP_INLINE_VISIBILITY
6437 bool operator!=(const param_type& __x, const param_type& __y)
6438 {return !(__x == __y);}
6443 friend class piecewise_linear_distribution;
6445 template <class _CharT, class _Traits, class _RT>
6447 basic_ostream<_CharT, _Traits>&
6448 operator<<(basic_ostream<_CharT, _Traits>& __os,
6449 const piecewise_linear_distribution<_RT>& __x);
6451 template <class _CharT, class _Traits, class _RT>
6453 basic_istream<_CharT, _Traits>&
6454 operator>>(basic_istream<_CharT, _Traits>& __is,
6455 piecewise_linear_distribution<_RT>& __x);
6462 // constructor and reset functions
6463 _LIBCPP_INLINE_VISIBILITY
6464 piecewise_linear_distribution() {}
6465 template<class _InputIteratorB, class _InputIteratorW>
6466 _LIBCPP_INLINE_VISIBILITY
6467 piecewise_linear_distribution(_InputIteratorB __fB,
6468 _InputIteratorB __lB,
6469 _InputIteratorW __fW)
6470 : __p_(__fB, __lB, __fW) {}
6472 #ifndef _LIBCPP_CXX03_LANG
6473 template<class _UnaryOperation>
6474 _LIBCPP_INLINE_VISIBILITY
6475 piecewise_linear_distribution(initializer_list<result_type> __bl,
6476 _UnaryOperation __fw)
6477 : __p_(__bl, __fw) {}
6478 #endif // _LIBCPP_CXX03_LANG
6480 template<class _UnaryOperation>
6481 _LIBCPP_INLINE_VISIBILITY
6482 piecewise_linear_distribution(size_t __nw, result_type __xmin,
6483 result_type __xmax, _UnaryOperation __fw)
6484 : __p_(__nw, __xmin, __xmax, __fw) {}
6486 _LIBCPP_INLINE_VISIBILITY
6487 explicit piecewise_linear_distribution(const param_type& __p)
6490 _LIBCPP_INLINE_VISIBILITY
6493 // generating functions
6494 template<class _URNG>
6495 _LIBCPP_INLINE_VISIBILITY
6496 result_type operator()(_URNG& __g)
6497 {return (*this)(__g, __p_);}
6498 template<class _URNG> result_type operator()(_URNG& __g, const param_type& __p);
6500 // property functions
6501 _LIBCPP_INLINE_VISIBILITY
6502 vector<result_type> intervals() const {return __p_.intervals();}
6503 _LIBCPP_INLINE_VISIBILITY
6504 vector<result_type> densities() const {return __p_.densities();}
6506 _LIBCPP_INLINE_VISIBILITY
6507 param_type param() const {return __p_;}
6508 _LIBCPP_INLINE_VISIBILITY
6509 void param(const param_type& __p) {__p_ = __p;}
6511 _LIBCPP_INLINE_VISIBILITY
6512 result_type min() const {return __p_.__b_.front();}
6513 _LIBCPP_INLINE_VISIBILITY
6514 result_type max() const {return __p_.__b_.back();}
6516 friend _LIBCPP_INLINE_VISIBILITY
6517 bool operator==(const piecewise_linear_distribution& __x,
6518 const piecewise_linear_distribution& __y)
6519 {return __x.__p_ == __y.__p_;}
6520 friend _LIBCPP_INLINE_VISIBILITY
6521 bool operator!=(const piecewise_linear_distribution& __x,
6522 const piecewise_linear_distribution& __y)
6523 {return !(__x == __y);}
6525 template <class _CharT, class _Traits, class _RT>
6527 basic_ostream<_CharT, _Traits>&
6528 operator<<(basic_ostream<_CharT, _Traits>& __os,
6529 const piecewise_linear_distribution<_RT>& __x);
6531 template <class _CharT, class _Traits, class _RT>
6533 basic_istream<_CharT, _Traits>&
6534 operator>>(basic_istream<_CharT, _Traits>& __is,
6535 piecewise_linear_distribution<_RT>& __x);
6538 template<class _RealType>
6539 typename piecewise_linear_distribution<_RealType>::param_type &
6540 piecewise_linear_distribution<_RealType>::param_type::operator=
6541 (const param_type& __rhs)
6544 __b_.reserve (__rhs.__b_.size ());
6545 __densities_.reserve(__rhs.__densities_.size());
6546 __areas_.reserve (__rhs.__areas_.size());
6548 // These can not throw
6550 __densities_ = __rhs.__densities_;
6551 __areas_ = __rhs.__areas_;
6556 template<class _RealType>
6558 piecewise_linear_distribution<_RealType>::param_type::__init()
6560 __areas_.assign(__densities_.size() - 1, result_type());
6561 result_type _Sp = 0;
6562 for (size_t __i = 0; __i < __areas_.size(); ++__i)
6564 __areas_[__i] = (__densities_[__i+1] + __densities_[__i]) *
6565 (__b_[__i+1] - __b_[__i]) * .5;
6566 _Sp += __areas_[__i];
6568 for (size_t __i = __areas_.size(); __i > 1;)
6571 __areas_[__i] = __areas_[__i-1] / _Sp;
6574 for (size_t __i = 1; __i < __areas_.size(); ++__i)
6575 __areas_[__i] += __areas_[__i-1];
6576 for (size_t __i = 0; __i < __densities_.size(); ++__i)
6577 __densities_[__i] /= _Sp;
6580 template<class _RealType>
6581 piecewise_linear_distribution<_RealType>::param_type::param_type()
6583 __densities_(2, 1.0),
6589 template<class _RealType>
6590 template<class _InputIteratorB, class _InputIteratorW>
6591 piecewise_linear_distribution<_RealType>::param_type::param_type(
6592 _InputIteratorB __fB, _InputIteratorB __lB, _InputIteratorW __fW)
6595 if (__b_.size() < 2)
6600 __densities_.assign(2, 1.0);
6601 __areas_.assign(1, 0.0);
6605 __densities_.reserve(__b_.size());
6606 for (size_t __i = 0; __i < __b_.size(); ++__i, ++__fW)
6607 __densities_.push_back(*__fW);
6612 #ifndef _LIBCPP_CXX03_LANG
6614 template<class _RealType>
6615 template<class _UnaryOperation>
6616 piecewise_linear_distribution<_RealType>::param_type::param_type(
6617 initializer_list<result_type> __bl, _UnaryOperation __fw)
6618 : __b_(__bl.begin(), __bl.end())
6620 if (__b_.size() < 2)
6625 __densities_.assign(2, 1.0);
6626 __areas_.assign(1, 0.0);
6630 __densities_.reserve(__b_.size());
6631 for (size_t __i = 0; __i < __b_.size(); ++__i)
6632 __densities_.push_back(__fw(__b_[__i]));
6637 #endif // _LIBCPP_CXX03_LANG
6639 template<class _RealType>
6640 template<class _UnaryOperation>
6641 piecewise_linear_distribution<_RealType>::param_type::param_type(
6642 size_t __nw, result_type __xmin, result_type __xmax, _UnaryOperation __fw)
6643 : __b_(__nw == 0 ? 2 : __nw + 1)
6645 size_t __n = __b_.size() - 1;
6646 result_type __d = (__xmax - __xmin) / __n;
6647 __densities_.reserve(__b_.size());
6648 for (size_t __i = 0; __i < __n; ++__i)
6650 __b_[__i] = __xmin + __i * __d;
6651 __densities_.push_back(__fw(__b_[__i]));
6654 __densities_.push_back(__fw(__b_[__n]));
6658 template<class _RealType>
6659 template<class _URNG>
6661 piecewise_linear_distribution<_RealType>::operator()(_URNG& __g, const param_type& __p)
6663 typedef uniform_real_distribution<result_type> _Gen;
6664 result_type __u = _Gen()(__g);
6665 ptrdiff_t __k = _VSTD::upper_bound(__p.__areas_.begin(), __p.__areas_.end(),
6666 __u) - __p.__areas_.begin() - 1;
6667 __u -= __p.__areas_[__k];
6668 const result_type __dk = __p.__densities_[__k];
6669 const result_type __dk1 = __p.__densities_[__k+1];
6670 const result_type __deltad = __dk1 - __dk;
6671 const result_type __bk = __p.__b_[__k];
6673 return __u / __dk + __bk;
6674 const result_type __bk1 = __p.__b_[__k+1];
6675 const result_type __deltab = __bk1 - __bk;
6676 return (__bk * __dk1 - __bk1 * __dk +
6677 _VSTD::sqrt(__deltab * (__deltab * __dk * __dk + 2 * __deltad * __u))) /
6681 template <class _CharT, class _Traits, class _RT>
6682 basic_ostream<_CharT, _Traits>&
6683 operator<<(basic_ostream<_CharT, _Traits>& __os,
6684 const piecewise_linear_distribution<_RT>& __x)
6686 __save_flags<_CharT, _Traits> __lx(__os);
6687 __os.flags(ios_base::dec | ios_base::left | ios_base::fixed |
6688 ios_base::scientific);
6689 _CharT __sp = __os.widen(' ');
6691 size_t __n = __x.__p_.__b_.size();
6693 for (size_t __i = 0; __i < __n; ++__i)
6694 __os << __sp << __x.__p_.__b_[__i];
6695 __n = __x.__p_.__densities_.size();
6696 __os << __sp << __n;
6697 for (size_t __i = 0; __i < __n; ++__i)
6698 __os << __sp << __x.__p_.__densities_[__i];
6699 __n = __x.__p_.__areas_.size();
6700 __os << __sp << __n;
6701 for (size_t __i = 0; __i < __n; ++__i)
6702 __os << __sp << __x.__p_.__areas_[__i];
6706 template <class _CharT, class _Traits, class _RT>
6707 basic_istream<_CharT, _Traits>&
6708 operator>>(basic_istream<_CharT, _Traits>& __is,
6709 piecewise_linear_distribution<_RT>& __x)
6711 typedef piecewise_linear_distribution<_RT> _Eng;
6712 typedef typename _Eng::result_type result_type;
6713 __save_flags<_CharT, _Traits> __lx(__is);
6714 __is.flags(ios_base::dec | ios_base::skipws);
6717 vector<result_type> __b(__n);
6718 for (size_t __i = 0; __i < __n; ++__i)
6721 vector<result_type> __densities(__n);
6722 for (size_t __i = 0; __i < __n; ++__i)
6723 __is >> __densities[__i];
6725 vector<result_type> __areas(__n);
6726 for (size_t __i = 0; __i < __n; ++__i)
6727 __is >> __areas[__i];
6730 swap(__x.__p_.__b_, __b);
6731 swap(__x.__p_.__densities_, __densities);
6732 swap(__x.__p_.__areas_, __areas);
6737 _LIBCPP_END_NAMESPACE_STD
6739 #endif // _LIBCPP_RANDOM