#$@%#$%!

Ngiler SH3LL 360
: / usr / include / c++ / 8 / bits /

Information Server
MySQL : OFF Perl : OFF CURL : ON WGET : OFF PKEXEC : OFF

Directive	Local Value
IP Address	162.0.209.101
System	Linux premium169.web-hosting.com 4.18.0-553.50.1.lve.el8.x86_64 #1 SMP Thu Apr 17 19:10:24 UTC 2025 x86_64
User	luxeelil
PHP Version	8.0.30
Software	LiteSpeed
Doc root	Writable

Edit File : random.tcc \| Size : 103.12 KB
// random number generation (out of line) -- C++ -- // Copyright (C) 2009-2018 Free Software Foundation, Inc. // // This file is part of the GNU ISO C++ Library. This library is free // software; you can redistribute it and/or modify it under the // terms of the GNU General Public License as published by the // Free Software Foundation; either version 3, or (at your option) // any later version. // This library is distributed in the hope that it will be useful, // but WITHOUT ANY WARRANTY; without even the implied warranty of // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the // GNU General Public License for more details. // Under Section 7 of GPL version 3, you are granted additional // permissions described in the GCC Runtime Library Exception, version // 3.1, as published by the Free Software Foundation. // You should have received a copy of the GNU General Public License and // a copy of the GCC Runtime Library Exception along with this program; // see the files COPYING3 and COPYING.RUNTIME respectively. If not, see // <http://www.gnu.org/licenses/>. /** @file bits/random.tcc * This is an internal header file, included by other library headers. * Do not attempt to use it directly. @headername{random} / #ifndef _RANDOM_TCC #define _RANDOM_TCC 1 #include <numeric> // std::accumulate and std::partial_sum namespace std _GLIBCXX_VISIBILITY(default) { _GLIBCXX_BEGIN_NAMESPACE_VERSION / * (Further) implementation-space details. / namespace __detail { // General case for x = (ax + c) mod m -- use Schrage's algorithm // to avoid integer overflow. // // Preconditions: a > 0, m > 0. // // Note: only works correctly for __m % __a < __m / __a. template<typename _Tp, _Tp __m, _Tp __a, _Tp __c> _Tp _Mod<_Tp, __m, __a, __c, false, true>:: __calc(_Tp __x) { if (__a == 1) __x %= __m; else { static const _Tp __q = __m / __a; static const _Tp __r = __m % __a; _Tp __t1 = __a (__x % __q); _Tp __t2 = __r * (__x / __q); if (__t1 >= __t2) __x = __t1 - __t2; else __x = __m - __t2 + __t1; } if (__c != 0) { const _Tp __d = __m - __x; if (__d > __c) __x += __c; else __x = __c - __d; } return __x; } template<typename _InputIterator, typename _OutputIterator, typename _Tp> _OutputIterator __normalize(_InputIterator __first, _InputIterator __last, _OutputIterator __result, const _Tp& __factor) { for (; __first != __last; ++__first, ++__result) __result = __first / __factor; return __result; } } // namespace __detail template<typename _UIntType, _UIntType __a, _UIntType __c, _UIntType __m> constexpr _UIntType linear_congruential_engine<_UIntType, __a, __c, __m>::multiplier; template<typename _UIntType, _UIntType __a, _UIntType __c, _UIntType __m> constexpr _UIntType linear_congruential_engine<_UIntType, __a, __c, __m>::increment; template<typename _UIntType, _UIntType __a, _UIntType __c, _UIntType __m> constexpr _UIntType linear_congruential_engine<_UIntType, __a, __c, __m>::modulus; template<typename _UIntType, _UIntType __a, _UIntType __c, _UIntType __m> constexpr _UIntType linear_congruential_engine<_UIntType, __a, __c, __m>::default_seed; /** * Seeds the LCR with integral value @p __s, adjusted so that the * ring identity is never a member of the convergence set. / template<typename _UIntType, _UIntType __a, _UIntType __c, _UIntType __m> void linear_congruential_engine<_UIntType, __a, __c, __m>:: seed(result_type __s) { if ((__detail::__mod<_UIntType, __m>(__c) == 0) && (__detail::__mod<_UIntType, __m>(__s) == 0)) _M_x = 1; else _M_x = __detail::__mod<_UIntType, __m>(__s); } /* * Seeds the LCR engine with a value generated by @p __q. / template<typename _UIntType, _UIntType __a, _UIntType __c, _UIntType __m> template<typename _Sseq> typename std::enable_if<std::is_class<_Sseq>::value>::type linear_congruential_engine<_UIntType, __a, __c, __m>:: seed(_Sseq& __q) { const _UIntType __k0 = __m == 0 ? std::numeric_limits<_UIntType>::digits : std::__lg(__m); const _UIntType __k = (__k0 + 31) / 32; uint_least32_t __arr[__k + 3]; __q.generate(__arr + 0, __arr + __k + 3); _UIntType __factor = 1u; _UIntType __sum = 0u; for (size_t __j = 0; __j < __k; ++__j) { __sum += __arr[__j + 3] __factor; __factor = __detail::_Shift<_UIntType, 32>::__value; } seed(__sum); } template<typename _UIntType, _UIntType __a, _UIntType __c, _UIntType __m, typename _CharT, typename _Traits> std::basic_ostream<_CharT, _Traits>& operator<<(std::basic_ostream<_CharT, _Traits>& __os, const linear_congruential_engine<_UIntType, __a, __c, __m>& __lcr) { typedef std::basic_ostream<_CharT, _Traits> __ostream_type; typedef typename __ostream_type::ios_base __ios_base; const typename __ios_base::fmtflags __flags = __os.flags(); const _CharT __fill = __os.fill(); __os.flags(__ios_base::dec \| __ios_base::fixed \| __ios_base::left); __os.fill(__os.widen(' ')); __os << __lcr._M_x; __os.flags(__flags); __os.fill(__fill); return __os; } template<typename _UIntType, _UIntType __a, _UIntType __c, _UIntType __m, typename _CharT, typename _Traits> std::basic_istream<_CharT, _Traits>& operator>>(std::basic_istream<_CharT, _Traits>& __is, linear_congruential_engine<_UIntType, __a, __c, __m>& __lcr) { typedef std::basic_istream<_CharT, _Traits> __istream_type; typedef typename __istream_type::ios_base __ios_base; const typename __ios_base::fmtflags __flags = __is.flags(); __is.flags(__ios_base::dec); __is >> __lcr._M_x; __is.flags(__flags); return __is; } template<typename _UIntType, size_t __w, size_t __n, size_t __m, size_t __r, _UIntType __a, size_t __u, _UIntType __d, size_t __s, _UIntType __b, size_t __t, _UIntType __c, size_t __l, _UIntType __f> constexpr size_t mersenne_twister_engine<_UIntType, __w, __n, __m, __r, __a, __u, __d, __s, __b, __t, __c, __l, __f>::word_size; template<typename _UIntType, size_t __w, size_t __n, size_t __m, size_t __r, _UIntType __a, size_t __u, _UIntType __d, size_t __s, _UIntType __b, size_t __t, _UIntType __c, size_t __l, _UIntType __f> constexpr size_t mersenne_twister_engine<_UIntType, __w, __n, __m, __r, __a, __u, __d, __s, __b, __t, __c, __l, __f>::state_size; template<typename _UIntType, size_t __w, size_t __n, size_t __m, size_t __r, _UIntType __a, size_t __u, _UIntType __d, size_t __s, _UIntType __b, size_t __t, _UIntType __c, size_t __l, _UIntType __f> constexpr size_t mersenne_twister_engine<_UIntType, __w, __n, __m, __r, __a, __u, __d, __s, __b, __t, __c, __l, __f>::shift_size; template<typename _UIntType, size_t __w, size_t __n, size_t __m, size_t __r, _UIntType __a, size_t __u, _UIntType __d, size_t __s, _UIntType __b, size_t __t, _UIntType __c, size_t __l, _UIntType __f> constexpr size_t mersenne_twister_engine<_UIntType, __w, __n, __m, __r, __a, __u, __d, __s, __b, __t, __c, __l, __f>::mask_bits; template<typename _UIntType, size_t __w, size_t __n, size_t __m, size_t __r, _UIntType __a, size_t __u, _UIntType __d, size_t __s, _UIntType __b, size_t __t, _UIntType __c, size_t __l, _UIntType __f> constexpr _UIntType mersenne_twister_engine<_UIntType, __w, __n, __m, __r, __a, __u, __d, __s, __b, __t, __c, __l, __f>::xor_mask; template<typename _UIntType, size_t __w, size_t __n, size_t __m, size_t __r, _UIntType __a, size_t __u, _UIntType __d, size_t __s, _UIntType __b, size_t __t, _UIntType __c, size_t __l, _UIntType __f> constexpr size_t mersenne_twister_engine<_UIntType, __w, __n, __m, __r, __a, __u, __d, __s, __b, __t, __c, __l, __f>::tempering_u; template<typename _UIntType, size_t __w, size_t __n, size_t __m, size_t __r, _UIntType __a, size_t __u, _UIntType __d, size_t __s, _UIntType __b, size_t __t, _UIntType __c, size_t __l, _UIntType __f> constexpr _UIntType mersenne_twister_engine<_UIntType, __w, __n, __m, __r, __a, __u, __d, __s, __b, __t, __c, __l, __f>::tempering_d; template<typename _UIntType, size_t __w, size_t __n, size_t __m, size_t __r, _UIntType __a, size_t __u, _UIntType __d, size_t __s, _UIntType __b, size_t __t, _UIntType __c, size_t __l, _UIntType __f> constexpr size_t mersenne_twister_engine<_UIntType, __w, __n, __m, __r, __a, __u, __d, __s, __b, __t, __c, __l, __f>::tempering_s; template<typename _UIntType, size_t __w, size_t __n, size_t __m, size_t __r, _UIntType __a, size_t __u, _UIntType __d, size_t __s, _UIntType __b, size_t __t, _UIntType __c, size_t __l, _UIntType __f> constexpr _UIntType mersenne_twister_engine<_UIntType, __w, __n, __m, __r, __a, __u, __d, __s, __b, __t, __c, __l, __f>::tempering_b; template<typename _UIntType, size_t __w, size_t __n, size_t __m, size_t __r, _UIntType __a, size_t __u, _UIntType __d, size_t __s, _UIntType __b, size_t __t, _UIntType __c, size_t __l, _UIntType __f> constexpr size_t mersenne_twister_engine<_UIntType, __w, __n, __m, __r, __a, __u, __d, __s, __b, __t, __c, __l, __f>::tempering_t; template<typename _UIntType, size_t __w, size_t __n, size_t __m, size_t __r, _UIntType __a, size_t __u, _UIntType __d, size_t __s, _UIntType __b, size_t __t, _UIntType __c, size_t __l, _UIntType __f> constexpr _UIntType mersenne_twister_engine<_UIntType, __w, __n, __m, __r, __a, __u, __d, __s, __b, __t, __c, __l, __f>::tempering_c; template<typename _UIntType, size_t __w, size_t __n, size_t __m, size_t __r, _UIntType __a, size_t __u, _UIntType __d, size_t __s, _UIntType __b, size_t __t, _UIntType __c, size_t __l, _UIntType __f> constexpr size_t mersenne_twister_engine<_UIntType, __w, __n, __m, __r, __a, __u, __d, __s, __b, __t, __c, __l, __f>::tempering_l; template<typename _UIntType, size_t __w, size_t __n, size_t __m, size_t __r, _UIntType __a, size_t __u, _UIntType __d, size_t __s, _UIntType __b, size_t __t, _UIntType __c, size_t __l, _UIntType __f> constexpr _UIntType mersenne_twister_engine<_UIntType, __w, __n, __m, __r, __a, __u, __d, __s, __b, __t, __c, __l, __f>:: initialization_multiplier; template<typename _UIntType, size_t __w, size_t __n, size_t __m, size_t __r, _UIntType __a, size_t __u, _UIntType __d, size_t __s, _UIntType __b, size_t __t, _UIntType __c, size_t __l, _UIntType __f> constexpr _UIntType mersenne_twister_engine<_UIntType, __w, __n, __m, __r, __a, __u, __d, __s, __b, __t, __c, __l, __f>::default_seed; template<typename _UIntType, size_t __w, size_t __n, size_t __m, size_t __r, _UIntType __a, size_t __u, _UIntType __d, size_t __s, _UIntType __b, size_t __t, _UIntType __c, size_t __l, _UIntType __f> void mersenne_twister_engine<_UIntType, __w, __n, __m, __r, __a, __u, __d, __s, __b, __t, __c, __l, __f>:: seed(result_type __sd) { _M_x[0] = __detail::__mod<_UIntType, __detail::_Shift<_UIntType, __w>::__value>(__sd); for (size_t __i = 1; __i < state_size; ++__i) { _UIntType __x = _M_x[__i - 1]; __x ^= __x >> (__w - 2); __x = __f; __x += __detail::__mod<_UIntType, __n>(__i); _M_x[__i] = __detail::__mod<_UIntType, __detail::_Shift<_UIntType, __w>::__value>(__x); } _M_p = state_size; } template<typename _UIntType, size_t __w, size_t __n, size_t __m, size_t __r, _UIntType __a, size_t __u, _UIntType __d, size_t __s, _UIntType __b, size_t __t, _UIntType __c, size_t __l, _UIntType __f> template<typename _Sseq> typename std::enable_if<std::is_class<_Sseq>::value>::type mersenne_twister_engine<_UIntType, __w, __n, __m, __r, __a, __u, __d, __s, __b, __t, __c, __l, __f>:: seed(_Sseq& __q) { const _UIntType __upper_mask = (~_UIntType()) << __r; const size_t __k = (__w + 31) / 32; uint_least32_t __arr[__n * __k]; __q.generate(__arr + 0, __arr + __n * __k); bool __zero = true; for (size_t __i = 0; __i < state_size; ++__i) { _UIntType __factor = 1u; _UIntType __sum = 0u; for (size_t __j = 0; __j < __k; ++__j) { __sum += __arr[__k * __i + __j] * __factor; __factor = __detail::_Shift<_UIntType, 32>::__value; } _M_x[__i] = __detail::__mod<_UIntType, __detail::_Shift<_UIntType, __w>::__value>(__sum); if (__zero) { if (__i == 0) { if ((_M_x[0] & __upper_mask) != 0u) __zero = false; } else if (_M_x[__i] != 0u) __zero = false; } } if (__zero) _M_x[0] = __detail::_Shift<_UIntType, __w - 1>::__value; _M_p = state_size; } template<typename _UIntType, size_t __w, size_t __n, size_t __m, size_t __r, _UIntType __a, size_t __u, _UIntType __d, size_t __s, _UIntType __b, size_t __t, _UIntType __c, size_t __l, _UIntType __f> void mersenne_twister_engine<_UIntType, __w, __n, __m, __r, __a, __u, __d, __s, __b, __t, __c, __l, __f>:: _M_gen_rand(void) { const _UIntType __upper_mask = (~_UIntType()) << __r; const _UIntType __lower_mask = ~__upper_mask; for (size_t __k = 0; __k < (__n - __m); ++__k) { _UIntType __y = ((_M_x[__k] & __upper_mask) \| (_M_x[__k + 1] & __lower_mask)); _M_x[__k] = (_M_x[__k + __m] ^ (__y >> 1) ^ ((__y & 0x01) ? __a : 0)); } for (size_t __k = (__n - __m); __k < (__n - 1); ++__k) { _UIntType __y = ((_M_x[__k] & __upper_mask) \| (_M_x[__k + 1] & __lower_mask)); _M_x[__k] = (_M_x[__k + (__m - __n)] ^ (__y >> 1) ^ ((__y & 0x01) ? __a : 0)); } _UIntType __y = ((_M_x[__n - 1] & __upper_mask) \| (_M_x[0] & __lower_mask)); _M_x[__n - 1] = (_M_x[__m - 1] ^ (__y >> 1) ^ ((__y & 0x01) ? __a : 0)); _M_p = 0; } template<typename _UIntType, size_t __w, size_t __n, size_t __m, size_t __r, _UIntType __a, size_t __u, _UIntType __d, size_t __s, _UIntType __b, size_t __t, _UIntType __c, size_t __l, _UIntType __f> void mersenne_twister_engine<_UIntType, __w, __n, __m, __r, __a, __u, __d, __s, __b, __t, __c, __l, __f>:: discard(unsigned long long __z) { while (__z > state_size - _M_p) { __z -= state_size - _M_p; _M_gen_rand(); } _M_p += __z; } template<typename _UIntType, size_t __w, size_t __n, size_t __m, size_t __r, _UIntType __a, size_t __u, _UIntType __d, size_t __s, _UIntType __b, size_t __t, _UIntType __c, size_t __l, _UIntType __f> typename mersenne_twister_engine<_UIntType, __w, __n, __m, __r, __a, __u, __d, __s, __b, __t, __c, __l, __f>::result_type mersenne_twister_engine<_UIntType, __w, __n, __m, __r, __a, __u, __d, __s, __b, __t, __c, __l, __f>:: operator()() { // Reload the vector - cost is O(n) amortized over n calls. if (_M_p >= state_size) _M_gen_rand(); // Calculate o(x(i)). result_type __z = _M_x[_M_p++]; __z ^= (__z >> __u) & __d; __z ^= (__z << __s) & __b; __z ^= (__z << __t) & __c; __z ^= (__z >> __l); return __z; } template<typename _UIntType, size_t __w, size_t __n, size_t __m, size_t __r, _UIntType __a, size_t __u, _UIntType __d, size_t __s, _UIntType __b, size_t __t, _UIntType __c, size_t __l, _UIntType __f, typename _CharT, typename _Traits> std::basic_ostream<_CharT, _Traits>& operator<<(std::basic_ostream<_CharT, _Traits>& __os, const mersenne_twister_engine<_UIntType, __w, __n, __m, __r, __a, __u, __d, __s, __b, __t, __c, __l, __f>& __x) { typedef std::basic_ostream<_CharT, _Traits> __ostream_type; typedef typename __ostream_type::ios_base __ios_base; const typename __ios_base::fmtflags __flags = __os.flags(); const _CharT __fill = __os.fill(); const _CharT __space = __os.widen(' '); __os.flags(__ios_base::dec \| __ios_base::fixed \| __ios_base::left); __os.fill(__space); for (size_t __i = 0; __i < __n; ++__i) __os << __x._M_x[__i] << __space; __os << __x._M_p; __os.flags(__flags); __os.fill(__fill); return __os; } template<typename _UIntType, size_t __w, size_t __n, size_t __m, size_t __r, _UIntType __a, size_t __u, _UIntType __d, size_t __s, _UIntType __b, size_t __t, _UIntType __c, size_t __l, _UIntType __f, typename _CharT, typename _Traits> std::basic_istream<_CharT, _Traits>& operator>>(std::basic_istream<_CharT, _Traits>& __is, mersenne_twister_engine<_UIntType, __w, __n, __m, __r, __a, __u, __d, __s, __b, __t, __c, __l, __f>& __x) { typedef std::basic_istream<_CharT, _Traits> __istream_type; typedef typename __istream_type::ios_base __ios_base; const typename __ios_base::fmtflags __flags = __is.flags(); __is.flags(__ios_base::dec \| __ios_base::skipws); for (size_t __i = 0; __i < __n; ++__i) __is >> __x._M_x[__i]; __is >> __x._M_p; __is.flags(__flags); return __is; } template<typename _UIntType, size_t __w, size_t __s, size_t __r> constexpr size_t subtract_with_carry_engine<_UIntType, __w, __s, __r>::word_size; template<typename _UIntType, size_t __w, size_t __s, size_t __r> constexpr size_t subtract_with_carry_engine<_UIntType, __w, __s, __r>::short_lag; template<typename _UIntType, size_t __w, size_t __s, size_t __r> constexpr size_t subtract_with_carry_engine<_UIntType, __w, __s, __r>::long_lag; template<typename _UIntType, size_t __w, size_t __s, size_t __r> constexpr _UIntType subtract_with_carry_engine<_UIntType, __w, __s, __r>::default_seed; template<typename _UIntType, size_t __w, size_t __s, size_t __r> void subtract_with_carry_engine<_UIntType, __w, __s, __r>:: seed(result_type __value) { std::linear_congruential_engine<result_type, 40014u, 0u, 2147483563u> __lcg(__value == 0u ? default_seed : __value); const size_t __n = (__w + 31) / 32; for (size_t __i = 0; __i < long_lag; ++__i) { _UIntType __sum = 0u; _UIntType __factor = 1u; for (size_t __j = 0; __j < __n; ++__j) { __sum += __detail::__mod<uint_least32_t, __detail::_Shift<uint_least32_t, 32>::__value> (__lcg()) __factor; __factor = __detail::_Shift<_UIntType, 32>::__value; } _M_x[__i] = __detail::__mod<_UIntType, __detail::_Shift<_UIntType, __w>::__value>(__sum); } _M_carry = (_M_x[long_lag - 1] == 0) ? 1 : 0; _M_p = 0; } template<typename _UIntType, size_t __w, size_t __s, size_t __r> template<typename _Sseq> typename std::enable_if<std::is_class<_Sseq>::value>::type subtract_with_carry_engine<_UIntType, __w, __s, __r>:: seed(_Sseq& __q) { const size_t __k = (__w + 31) / 32; uint_least32_t __arr[__r __k]; __q.generate(__arr + 0, __arr + __r * __k); for (size_t __i = 0; __i < long_lag; ++__i) { _UIntType __sum = 0u; _UIntType __factor = 1u; for (size_t __j = 0; __j < __k; ++__j) { __sum += __arr[__k * __i + __j] * __factor; __factor = __detail::_Shift<_UIntType, 32>::__value; } _M_x[__i] = __detail::__mod<_UIntType, __detail::_Shift<_UIntType, __w>::__value>(__sum); } _M_carry = (_M_x[long_lag - 1] == 0) ? 1 : 0; _M_p = 0; } template<typename _UIntType, size_t __w, size_t __s, size_t __r> typename subtract_with_carry_engine<_UIntType, __w, __s, __r>:: result_type subtract_with_carry_engine<_UIntType, __w, __s, __r>:: operator()() { // Derive short lag index from current index. long __ps = _M_p - short_lag; if (__ps < 0) __ps += long_lag; // Calculate new x(i) without overflow or division. // NB: Thanks to the requirements for _UIntType, _M_x[_M_p] + _M_carry // cannot overflow. _UIntType __xi; if (_M_x[__ps] >= _M_x[_M_p] + _M_carry) { __xi = _M_x[__ps] - _M_x[_M_p] - _M_carry; _M_carry = 0; } else { __xi = (__detail::_Shift<_UIntType, __w>::__value - _M_x[_M_p] - _M_carry + _M_x[__ps]); _M_carry = 1; } _M_x[_M_p] = __xi; // Adjust current index to loop around in ring buffer. if (++_M_p >= long_lag) _M_p = 0; return __xi; } template<typename _UIntType, size_t __w, size_t __s, size_t __r, typename _CharT, typename _Traits> std::basic_ostream<_CharT, _Traits>& operator<<(std::basic_ostream<_CharT, _Traits>& __os, const subtract_with_carry_engine<_UIntType, __w, __s, __r>& __x) { typedef std::basic_ostream<_CharT, _Traits> __ostream_type; typedef typename __ostream_type::ios_base __ios_base; const typename __ios_base::fmtflags __flags = __os.flags(); const _CharT __fill = __os.fill(); const _CharT __space = __os.widen(' '); __os.flags(__ios_base::dec \| __ios_base::fixed \| __ios_base::left); __os.fill(__space); for (size_t __i = 0; __i < __r; ++__i) __os << __x._M_x[__i] << __space; __os << __x._M_carry << __space << __x._M_p; __os.flags(__flags); __os.fill(__fill); return __os; } template<typename _UIntType, size_t __w, size_t __s, size_t __r, typename _CharT, typename _Traits> std::basic_istream<_CharT, _Traits>& operator>>(std::basic_istream<_CharT, _Traits>& __is, subtract_with_carry_engine<_UIntType, __w, __s, __r>& __x) { typedef std::basic_ostream<_CharT, _Traits> __istream_type; typedef typename __istream_type::ios_base __ios_base; const typename __ios_base::fmtflags __flags = __is.flags(); __is.flags(__ios_base::dec \| __ios_base::skipws); for (size_t __i = 0; __i < __r; ++__i) __is >> __x._M_x[__i]; __is >> __x._M_carry; __is >> __x._M_p; __is.flags(__flags); return __is; } template<typename _RandomNumberEngine, size_t __p, size_t __r> constexpr size_t discard_block_engine<_RandomNumberEngine, __p, __r>::block_size; template<typename _RandomNumberEngine, size_t __p, size_t __r> constexpr size_t discard_block_engine<_RandomNumberEngine, __p, __r>::used_block; template<typename _RandomNumberEngine, size_t __p, size_t __r> typename discard_block_engine<_RandomNumberEngine, __p, __r>::result_type discard_block_engine<_RandomNumberEngine, __p, __r>:: operator()() { if (_M_n >= used_block) { _M_b.discard(block_size - _M_n); _M_n = 0; } ++_M_n; return _M_b(); } template<typename _RandomNumberEngine, size_t __p, size_t __r, typename _CharT, typename _Traits> std::basic_ostream<_CharT, _Traits>& operator<<(std::basic_ostream<_CharT, _Traits>& __os, const discard_block_engine<_RandomNumberEngine, __p, __r>& __x) { typedef std::basic_ostream<_CharT, _Traits> __ostream_type; typedef typename __ostream_type::ios_base __ios_base; const typename __ios_base::fmtflags __flags = __os.flags(); const _CharT __fill = __os.fill(); const _CharT __space = __os.widen(' '); __os.flags(__ios_base::dec \| __ios_base::fixed \| __ios_base::left); __os.fill(__space); __os << __x.base() << __space << __x._M_n; __os.flags(__flags); __os.fill(__fill); return __os; } template<typename _RandomNumberEngine, size_t __p, size_t __r, typename _CharT, typename _Traits> std::basic_istream<_CharT, _Traits>& operator>>(std::basic_istream<_CharT, _Traits>& __is, discard_block_engine<_RandomNumberEngine, __p, __r>& __x) { typedef std::basic_istream<_CharT, _Traits> __istream_type; typedef typename __istream_type::ios_base __ios_base; const typename __ios_base::fmtflags __flags = __is.flags(); __is.flags(__ios_base::dec \| __ios_base::skipws); __is >> __x._M_b >> __x._M_n; __is.flags(__flags); return __is; } template<typename _RandomNumberEngine, size_t __w, typename _UIntType> typename independent_bits_engine<_RandomNumberEngine, __w, _UIntType>:: result_type independent_bits_engine<_RandomNumberEngine, __w, _UIntType>:: operator()() { typedef typename _RandomNumberEngine::result_type _Eresult_type; const _Eresult_type __r = (_M_b.max() - _M_b.min() < std::numeric_limits<_Eresult_type>::max() ? _M_b.max() - _M_b.min() + 1 : 0); const unsigned __edig = std::numeric_limits<_Eresult_type>::digits; const unsigned __m = __r ? std::__lg(__r) : __edig; typedef typename std::common_type<_Eresult_type, result_type>::type __ctype; const unsigned __cdig = std::numeric_limits<__ctype>::digits; unsigned __n, __n0; __ctype __s0, __s1, __y0, __y1; for (size_t __i = 0; __i < 2; ++__i) { __n = (__w + __m - 1) / __m + __i; __n0 = __n - __w % __n; const unsigned __w0 = __w / __n; // __w0 <= __m __s0 = 0; __s1 = 0; if (__w0 < __cdig) { __s0 = __ctype(1) << __w0; __s1 = __s0 << 1; } __y0 = 0; __y1 = 0; if (__r) { __y0 = __s0 (__r / __s0); if (__s1) __y1 = __s1 * (__r / __s1); if (__r - __y0 <= __y0 / __n) break; } else break; } result_type __sum = 0; for (size_t __k = 0; __k < __n0; ++__k) { __ctype __u; do __u = _M_b() - _M_b.min(); while (__y0 && __u >= __y0); __sum = __s0 * __sum + (__s0 ? __u % __s0 : __u); } for (size_t __k = __n0; __k < __n; ++__k) { __ctype __u; do __u = _M_b() - _M_b.min(); while (__y1 && __u >= __y1); __sum = __s1 * __sum + (__s1 ? __u % __s1 : __u); } return __sum; } template<typename _RandomNumberEngine, size_t __k> constexpr size_t shuffle_order_engine<_RandomNumberEngine, __k>::table_size; template<typename _RandomNumberEngine, size_t __k> typename shuffle_order_engine<_RandomNumberEngine, __k>::result_type shuffle_order_engine<_RandomNumberEngine, __k>:: operator()() { size_t __j = __k * ((_M_y - _M_b.min()) / (_M_b.max() - _M_b.min() + 1.0L)); _M_y = _M_v[__j]; _M_v[__j] = _M_b(); return _M_y; } template<typename _RandomNumberEngine, size_t __k, typename _CharT, typename _Traits> std::basic_ostream<_CharT, _Traits>& operator<<(std::basic_ostream<_CharT, _Traits>& __os, const shuffle_order_engine<_RandomNumberEngine, __k>& __x) { typedef std::basic_ostream<_CharT, _Traits> __ostream_type; typedef typename __ostream_type::ios_base __ios_base; const typename __ios_base::fmtflags __flags = __os.flags(); const _CharT __fill = __os.fill(); const _CharT __space = __os.widen(' '); __os.flags(__ios_base::dec \| __ios_base::fixed \| __ios_base::left); __os.fill(__space); __os << __x.base(); for (size_t __i = 0; __i < __k; ++__i) __os << __space << __x._M_v[__i]; __os << __space << __x._M_y; __os.flags(__flags); __os.fill(__fill); return __os; } template<typename _RandomNumberEngine, size_t __k, typename _CharT, typename _Traits> std::basic_istream<_CharT, _Traits>& operator>>(std::basic_istream<_CharT, _Traits>& __is, shuffle_order_engine<_RandomNumberEngine, __k>& __x) { typedef std::basic_istream<_CharT, _Traits> __istream_type; typedef typename __istream_type::ios_base __ios_base; const typename __ios_base::fmtflags __flags = __is.flags(); __is.flags(__ios_base::dec \| __ios_base::skipws); __is >> __x._M_b; for (size_t __i = 0; __i < __k; ++__i) __is >> __x._M_v[__i]; __is >> __x._M_y; __is.flags(__flags); return __is; } template<typename _IntType, typename _CharT, typename _Traits> std::basic_ostream<_CharT, _Traits>& operator<<(std::basic_ostream<_CharT, _Traits>& __os, const uniform_int_distribution<_IntType>& __x) { typedef std::basic_ostream<_CharT, _Traits> __ostream_type; typedef typename __ostream_type::ios_base __ios_base; const typename __ios_base::fmtflags __flags = __os.flags(); const _CharT __fill = __os.fill(); const _CharT __space = __os.widen(' '); __os.flags(__ios_base::scientific \| __ios_base::left); __os.fill(__space); __os << __x.a() << __space << __x.b(); __os.flags(__flags); __os.fill(__fill); return __os; } template<typename _IntType, typename _CharT, typename _Traits> std::basic_istream<_CharT, _Traits>& operator>>(std::basic_istream<_CharT, _Traits>& __is, uniform_int_distribution<_IntType>& __x) { typedef std::basic_istream<_CharT, _Traits> __istream_type; typedef typename __istream_type::ios_base __ios_base; const typename __ios_base::fmtflags __flags = __is.flags(); __is.flags(__ios_base::dec \| __ios_base::skipws); _IntType __a, __b; if (__is >> __a >> __b) __x.param(typename uniform_int_distribution<_IntType>:: param_type(__a, __b)); __is.flags(__flags); return __is; } template<typename _RealType> template<typename _ForwardIterator, typename _UniformRandomNumberGenerator> void uniform_real_distribution<_RealType>:: __generate_impl(_ForwardIterator __f, _ForwardIterator __t, _UniformRandomNumberGenerator& __urng, const param_type& __p) { __glibcxx_function_requires(_ForwardIteratorConcept<_ForwardIterator>) __detail::_Adaptor<_UniformRandomNumberGenerator, result_type> __aurng(__urng); auto __range = __p.b() - __p.a(); while (__f != __t) __f++ = __aurng() __range + __p.a(); } template<typename _RealType, typename _CharT, typename _Traits> std::basic_ostream<_CharT, _Traits>& operator<<(std::basic_ostream<_CharT, _Traits>& __os, const uniform_real_distribution<_RealType>& __x) { typedef std::basic_ostream<_CharT, _Traits> __ostream_type; typedef typename __ostream_type::ios_base __ios_base; const typename __ios_base::fmtflags __flags = __os.flags(); const _CharT __fill = __os.fill(); const std::streamsize __precision = __os.precision(); const _CharT __space = __os.widen(' '); __os.flags(__ios_base::scientific \| __ios_base::left); __os.fill(__space); __os.precision(std::numeric_limits<_RealType>::max_digits10); __os << __x.a() << __space << __x.b(); __os.flags(__flags); __os.fill(__fill); __os.precision(__precision); return __os; } template<typename _RealType, typename _CharT, typename _Traits> std::basic_istream<_CharT, _Traits>& operator>>(std::basic_istream<_CharT, _Traits>& __is, uniform_real_distribution<_RealType>& __x) { typedef std::basic_istream<_CharT, _Traits> __istream_type; typedef typename __istream_type::ios_base __ios_base; const typename __ios_base::fmtflags __flags = __is.flags(); __is.flags(__ios_base::skipws); _RealType __a, __b; if (__is >> __a >> __b) __x.param(typename uniform_real_distribution<_RealType>:: param_type(__a, __b)); __is.flags(__flags); return __is; } template<typename _ForwardIterator, typename _UniformRandomNumberGenerator> void std::bernoulli_distribution:: __generate_impl(_ForwardIterator __f, _ForwardIterator __t, _UniformRandomNumberGenerator& __urng, const param_type& __p) { __glibcxx_function_requires(_ForwardIteratorConcept<_ForwardIterator>) __detail::_Adaptor<_UniformRandomNumberGenerator, double> __aurng(__urng); auto __limit = __p.p() * (__aurng.max() - __aurng.min()); while (__f != __t) __f++ = (__aurng() - __aurng.min()) < __limit; } template<typename _CharT, typename _Traits> std::basic_ostream<_CharT, _Traits>& operator<<(std::basic_ostream<_CharT, _Traits>& __os, const bernoulli_distribution& __x) { typedef std::basic_ostream<_CharT, _Traits> __ostream_type; typedef typename __ostream_type::ios_base __ios_base; const typename __ios_base::fmtflags __flags = __os.flags(); const _CharT __fill = __os.fill(); const std::streamsize __precision = __os.precision(); __os.flags(__ios_base::scientific \| __ios_base::left); __os.fill(__os.widen(' ')); __os.precision(std::numeric_limits<double>::max_digits10); __os << __x.p(); __os.flags(__flags); __os.fill(__fill); __os.precision(__precision); return __os; } template<typename _IntType> template<typename _UniformRandomNumberGenerator> typename geometric_distribution<_IntType>::result_type geometric_distribution<_IntType>:: operator()(_UniformRandomNumberGenerator& __urng, const param_type& __param) { // About the epsilon thing see this thread: // http://gcc.gnu.org/ml/gcc-patches/2006-10/msg00971.html const double __naf = (1 - std::numeric_limits<double>::epsilon()) / 2; // The largest _RealType convertible to _IntType. const double __thr = std::numeric_limits<_IntType>::max() + __naf; __detail::_Adaptor<_UniformRandomNumberGenerator, double> __aurng(__urng); double __cand; do __cand = std::floor(std::log(1.0 - __aurng()) / __param._M_log_1_p); while (__cand >= __thr); return result_type(__cand + __naf); } template<typename _IntType> template<typename _ForwardIterator, typename _UniformRandomNumberGenerator> void geometric_distribution<_IntType>:: __generate_impl(_ForwardIterator __f, _ForwardIterator __t, _UniformRandomNumberGenerator& __urng, const param_type& __param) { __glibcxx_function_requires(_ForwardIteratorConcept<_ForwardIterator>) // About the epsilon thing see this thread: // http://gcc.gnu.org/ml/gcc-patches/2006-10/msg00971.html const double __naf = (1 - std::numeric_limits<double>::epsilon()) / 2; // The largest _RealType convertible to _IntType. const double __thr = std::numeric_limits<_IntType>::max() + __naf; __detail::_Adaptor<_UniformRandomNumberGenerator, double> __aurng(__urng); while (__f != __t) { double __cand; do __cand = std::floor(std::log(1.0 - __aurng()) / __param._M_log_1_p); while (__cand >= __thr); __f++ = __cand + __naf; } } template<typename _IntType, typename _CharT, typename _Traits> std::basic_ostream<_CharT, _Traits>& operator<<(std::basic_ostream<_CharT, _Traits>& __os, const geometric_distribution<_IntType>& __x) { typedef std::basic_ostream<_CharT, _Traits> __ostream_type; typedef typename __ostream_type::ios_base __ios_base; const typename __ios_base::fmtflags __flags = __os.flags(); const _CharT __fill = __os.fill(); const std::streamsize __precision = __os.precision(); __os.flags(__ios_base::scientific \| __ios_base::left); __os.fill(__os.widen(' ')); __os.precision(std::numeric_limits<double>::max_digits10); __os << __x.p(); __os.flags(__flags); __os.fill(__fill); __os.precision(__precision); return __os; } template<typename _IntType, typename _CharT, typename _Traits> std::basic_istream<_CharT, _Traits>& operator>>(std::basic_istream<_CharT, _Traits>& __is, geometric_distribution<_IntType>& __x) { typedef std::basic_istream<_CharT, _Traits> __istream_type; typedef typename __istream_type::ios_base __ios_base; const typename __ios_base::fmtflags __flags = __is.flags(); __is.flags(__ios_base::skipws); double __p; if (__is >> __p) __x.param(typename geometric_distribution<_IntType>::param_type(__p)); __is.flags(__flags); return __is; } // This is Leger's algorithm, also in Devroye, Ch. X, Example 1.5. template<typename _IntType> template<typename _UniformRandomNumberGenerator> typename negative_binomial_distribution<_IntType>::result_type negative_binomial_distribution<_IntType>:: operator()(_UniformRandomNumberGenerator& __urng) { const double __y = _M_gd(__urng); // XXX Is the constructor too slow? std::poisson_distribution<result_type> __poisson(__y); return __poisson(__urng); } template<typename _IntType> template<typename _UniformRandomNumberGenerator> typename negative_binomial_distribution<_IntType>::result_type negative_binomial_distribution<_IntType>:: operator()(_UniformRandomNumberGenerator& __urng, const param_type& __p) { typedef typename std::gamma_distribution<double>::param_type param_type; const double __y = _M_gd(__urng, param_type(__p.k(), (1.0 - __p.p()) / __p.p())); std::poisson_distribution<result_type> __poisson(__y); return __poisson(__urng); } template<typename _IntType> template<typename _ForwardIterator, typename _UniformRandomNumberGenerator> void negative_binomial_distribution<_IntType>:: __generate_impl(_ForwardIterator __f, _ForwardIterator __t, _UniformRandomNumberGenerator& __urng) { __glibcxx_function_requires(_ForwardIteratorConcept<_ForwardIterator>) while (__f != __t) { const double __y = _M_gd(__urng); // XXX Is the constructor too slow? std::poisson_distribution<result_type> __poisson(__y); __f++ = __poisson(__urng); } } template<typename _IntType> template<typename _ForwardIterator, typename _UniformRandomNumberGenerator> void negative_binomial_distribution<_IntType>:: __generate_impl(_ForwardIterator __f, _ForwardIterator __t, _UniformRandomNumberGenerator& __urng, const param_type& __p) { __glibcxx_function_requires(_ForwardIteratorConcept<_ForwardIterator>) typename std::gamma_distribution<result_type>::param_type __p2(__p.k(), (1.0 - __p.p()) / __p.p()); while (__f != __t) { const double __y = _M_gd(__urng, __p2); std::poisson_distribution<result_type> __poisson(__y); __f++ = __poisson(__urng); } } template<typename _IntType, typename _CharT, typename _Traits> std::basic_ostream<_CharT, _Traits>& operator<<(std::basic_ostream<_CharT, _Traits>& __os, const negative_binomial_distribution<_IntType>& __x) { typedef std::basic_ostream<_CharT, _Traits> __ostream_type; typedef typename __ostream_type::ios_base __ios_base; const typename __ios_base::fmtflags __flags = __os.flags(); const _CharT __fill = __os.fill(); const std::streamsize __precision = __os.precision(); const _CharT __space = __os.widen(' '); __os.flags(__ios_base::scientific \| __ios_base::left); __os.fill(__os.widen(' ')); __os.precision(std::numeric_limits<double>::max_digits10); __os << __x.k() << __space << __x.p() << __space << __x._M_gd; __os.flags(__flags); __os.fill(__fill); __os.precision(__precision); return __os; } template<typename _IntType, typename _CharT, typename _Traits> std::basic_istream<_CharT, _Traits>& operator>>(std::basic_istream<_CharT, _Traits>& __is, negative_binomial_distribution<_IntType>& __x) { typedef std::basic_istream<_CharT, _Traits> __istream_type; typedef typename __istream_type::ios_base __ios_base; const typename __ios_base::fmtflags __flags = __is.flags(); __is.flags(__ios_base::skipws); _IntType __k; double __p; if (__is >> __k >> __p >> __x._M_gd) __x.param(typename negative_binomial_distribution<_IntType>:: param_type(__k, __p)); __is.flags(__flags); return __is; } template<typename _IntType> void poisson_distribution<_IntType>::param_type:: _M_initialize() { #if _GLIBCXX_USE_C99_MATH_TR1 if (_M_mean >= 12) { const double __m = std::floor(_M_mean); _M_lm_thr = std::log(_M_mean); _M_lfm = std::lgamma(__m + 1); _M_sm = std::sqrt(__m); const double __pi_4 = 0.7853981633974483096156608458198757L; const double __dx = std::sqrt(2 * __m * std::log(32 * __m / __pi_4)); _M_d = std::round(std::max<double>(6.0, std::min(__m, __dx))); const double __cx = 2 * __m + _M_d; _M_scx = std::sqrt(__cx / 2); _M_1cx = 1 / __cx; _M_c2b = std::sqrt(__pi_4 * __cx) * std::exp(_M_1cx); _M_cb = 2 * __cx * std::exp(-_M_d * _M_1cx * (1 + _M_d / 2)) / _M_d; } else #endif _M_lm_thr = std::exp(-_M_mean); } /** * A rejection algorithm when mean >= 12 and a simple method based * upon the multiplication of uniform random variates otherwise. * NB: The former is available only if _GLIBCXX_USE_C99_MATH_TR1 * is defined. * * Reference: * Devroye, L. Non-Uniform Random Variates Generation. Springer-Verlag, * New York, 1986, Ch. X, Sects. 3.3 & 3.4 (+ Errata!). / template<typename _IntType> template<typename _UniformRandomNumberGenerator> typename poisson_distribution<_IntType>::result_type poisson_distribution<_IntType>:: operator()(_UniformRandomNumberGenerator& __urng, const param_type& __param) { __detail::_Adaptor<_UniformRandomNumberGenerator, double> __aurng(__urng); #if _GLIBCXX_USE_C99_MATH_TR1 if (__param.mean() >= 12) { double __x; // See comments above... const double __naf = (1 - std::numeric_limits<double>::epsilon()) / 2; const double __thr = std::numeric_limits<_IntType>::max() + __naf; const double __m = std::floor(__param.mean()); // sqrt(pi / 2) const double __spi_2 = 1.2533141373155002512078826424055226L; const double __c1 = __param._M_sm __spi_2; const double __c2 = __param._M_c2b + __c1; const double __c3 = __c2 + 1; const double __c4 = __c3 + 1; // 1 / 78 const double __178 = 0.0128205128205128205128205128205128L; // e^(1 / 78) const double __e178 = 1.0129030479320018583185514777512983L; const double __c5 = __c4 + __e178; const double __c = __param._M_cb + __c5; const double __2cx = 2 * (2 * __m + __param._M_d); bool __reject = true; do { const double __u = __c * __aurng(); const double __e = -std::log(1.0 - __aurng()); double __w = 0.0; if (__u <= __c1) { const double __n = _M_nd(__urng); const double __y = -std::abs(__n) * __param._M_sm - 1; __x = std::floor(__y); __w = -__n * __n / 2; if (__x < -__m) continue; } else if (__u <= __c2) { const double __n = _M_nd(__urng); const double __y = 1 + std::abs(__n) * __param._M_scx; __x = std::ceil(__y); __w = __y * (2 - __y) * __param._M_1cx; if (__x > __param._M_d) continue; } else if (__u <= __c3) // NB: This case not in the book, nor in the Errata, // but should be ok... __x = -1; else if (__u <= __c4) __x = 0; else if (__u <= __c5) { __x = 1; // Only in the Errata, see libstdc++/83237. __w = __178; } else { const double __v = -std::log(1.0 - __aurng()); const double __y = __param._M_d + __v * __2cx / __param._M_d; __x = std::ceil(__y); __w = -__param._M_d * __param._M_1cx * (1 + __y / 2); } __reject = (__w - __e - __x * __param._M_lm_thr > __param._M_lfm - std::lgamma(__x + __m + 1)); __reject \|= __x + __m >= __thr; } while (__reject); return result_type(__x + __m + __naf); } else #endif { _IntType __x = 0; double __prod = 1.0; do { __prod = __aurng(); __x += 1; } while (__prod > __param._M_lm_thr); return __x - 1; } } template<typename _IntType> template<typename _ForwardIterator, typename _UniformRandomNumberGenerator> void poisson_distribution<_IntType>:: __generate_impl(_ForwardIterator __f, _ForwardIterator __t, _UniformRandomNumberGenerator& __urng, const param_type& __param) { __glibcxx_function_requires(_ForwardIteratorConcept<_ForwardIterator>) // We could duplicate everything from operator()... while (__f != __t) __f++ = this->operator()(__urng, __param); } template<typename _IntType, typename _CharT, typename _Traits> std::basic_ostream<_CharT, _Traits>& operator<<(std::basic_ostream<_CharT, _Traits>& __os, const poisson_distribution<_IntType>& __x) { typedef std::basic_ostream<_CharT, _Traits> __ostream_type; typedef typename __ostream_type::ios_base __ios_base; const typename __ios_base::fmtflags __flags = __os.flags(); const _CharT __fill = __os.fill(); const std::streamsize __precision = __os.precision(); const _CharT __space = __os.widen(' '); __os.flags(__ios_base::scientific \| __ios_base::left); __os.fill(__space); __os.precision(std::numeric_limits<double>::max_digits10); __os << __x.mean() << __space << __x._M_nd; __os.flags(__flags); __os.fill(__fill); __os.precision(__precision); return __os; } template<typename _IntType, typename _CharT, typename _Traits> std::basic_istream<_CharT, _Traits>& operator>>(std::basic_istream<_CharT, _Traits>& __is, poisson_distribution<_IntType>& __x) { typedef std::basic_istream<_CharT, _Traits> __istream_type; typedef typename __istream_type::ios_base __ios_base; const typename __ios_base::fmtflags __flags = __is.flags(); __is.flags(__ios_base::skipws); double __mean; if (__is >> __mean >> __x._M_nd) __x.param(typename poisson_distribution<_IntType>::param_type(__mean)); __is.flags(__flags); return __is; } template<typename _IntType> void binomial_distribution<_IntType>::param_type:: _M_initialize() { const double __p12 = _M_p <= 0.5 ? _M_p : 1.0 - _M_p; _M_easy = true; #if _GLIBCXX_USE_C99_MATH_TR1 if (_M_t * __p12 >= 8) { _M_easy = false; const double __np = std::floor(_M_t * __p12); const double __pa = __np / _M_t; const double __1p = 1 - __pa; const double __pi_4 = 0.7853981633974483096156608458198757L; const double __d1x = std::sqrt(__np * __1p * std::log(32 * __np / (81 * __pi_4 * __1p))); _M_d1 = std::round(std::max<double>(1.0, __d1x)); const double __d2x = std::sqrt(__np * __1p * std::log(32 * _M_t * __1p / (__pi_4 * __pa))); _M_d2 = std::round(std::max<double>(1.0, __d2x)); // sqrt(pi / 2) const double __spi_2 = 1.2533141373155002512078826424055226L; _M_s1 = std::sqrt(__np * __1p) * (1 + _M_d1 / (4 * __np)); _M_s2 = std::sqrt(__np * __1p) * (1 + _M_d2 / (4 * _M_t * __1p)); _M_c = 2 * _M_d1 / __np; _M_a1 = std::exp(_M_c) * _M_s1 * __spi_2; const double __a12 = _M_a1 + _M_s2 * __spi_2; const double __s1s = _M_s1 * _M_s1; _M_a123 = __a12 + (std::exp(_M_d1 / (_M_t * __1p)) * 2 * __s1s / _M_d1 * std::exp(-_M_d1 * _M_d1 / (2 * __s1s))); const double __s2s = _M_s2 * _M_s2; _M_s = (_M_a123 + 2 * __s2s / _M_d2 * std::exp(-_M_d2 * _M_d2 / (2 * __s2s))); _M_lf = (std::lgamma(__np + 1) + std::lgamma(_M_t - __np + 1)); _M_lp1p = std::log(__pa / __1p); _M_q = -std::log(1 - (__p12 - __pa) / __1p); } else #endif _M_q = -std::log(1 - __p12); } template<typename _IntType> template<typename _UniformRandomNumberGenerator> typename binomial_distribution<_IntType>::result_type binomial_distribution<_IntType>:: _M_waiting(_UniformRandomNumberGenerator& __urng, _IntType __t, double __q) { _IntType __x = 0; double __sum = 0.0; __detail::_Adaptor<_UniformRandomNumberGenerator, double> __aurng(__urng); do { if (__t == __x) return __x; const double __e = -std::log(1.0 - __aurng()); __sum += __e / (__t - __x); __x += 1; } while (__sum <= __q); return __x - 1; } /** * A rejection algorithm when t * p >= 8 and a simple waiting time * method - the second in the referenced book - otherwise. * NB: The former is available only if _GLIBCXX_USE_C99_MATH_TR1 * is defined. * * Reference: * Devroye, L. Non-Uniform Random Variates Generation. Springer-Verlag, * New York, 1986, Ch. X, Sect. 4 (+ Errata!). / template<typename _IntType> template<typename _UniformRandomNumberGenerator> typename binomial_distribution<_IntType>::result_type binomial_distribution<_IntType>:: operator()(_UniformRandomNumberGenerator& __urng, const param_type& __param) { result_type __ret; const _IntType __t = __param.t(); const double __p = __param.p(); const double __p12 = __p <= 0.5 ? __p : 1.0 - __p; __detail::_Adaptor<_UniformRandomNumberGenerator, double> __aurng(__urng); #if _GLIBCXX_USE_C99_MATH_TR1 if (!__param._M_easy) { double __x; // See comments above... const double __naf = (1 - std::numeric_limits<double>::epsilon()) / 2; const double __thr = std::numeric_limits<_IntType>::max() + __naf; const double __np = std::floor(__t __p12); // sqrt(pi / 2) const double __spi_2 = 1.2533141373155002512078826424055226L; const double __a1 = __param._M_a1; const double __a12 = __a1 + __param._M_s2 * __spi_2; const double __a123 = __param._M_a123; const double __s1s = __param._M_s1 * __param._M_s1; const double __s2s = __param._M_s2 * __param._M_s2; bool __reject; do { const double __u = __param._M_s * __aurng(); double __v; if (__u <= __a1) { const double __n = _M_nd(__urng); const double __y = __param._M_s1 * std::abs(__n); __reject = __y >= __param._M_d1; if (!__reject) { const double __e = -std::log(1.0 - __aurng()); __x = std::floor(__y); __v = -__e - __n * __n / 2 + __param._M_c; } } else if (__u <= __a12) { const double __n = _M_nd(__urng); const double __y = __param._M_s2 * std::abs(__n); __reject = __y >= __param._M_d2; if (!__reject) { const double __e = -std::log(1.0 - __aurng()); __x = std::floor(-__y); __v = -__e - __n * __n / 2; } } else if (__u <= __a123) { const double __e1 = -std::log(1.0 - __aurng()); const double __e2 = -std::log(1.0 - __aurng()); const double __y = __param._M_d1 + 2 * __s1s * __e1 / __param._M_d1; __x = std::floor(__y); __v = (-__e2 + __param._M_d1 * (1 / (__t - __np) -__y / (2 * __s1s))); __reject = false; } else { const double __e1 = -std::log(1.0 - __aurng()); const double __e2 = -std::log(1.0 - __aurng()); const double __y = __param._M_d2 + 2 * __s2s * __e1 / __param._M_d2; __x = std::floor(-__y); __v = -__e2 - __param._M_d2 * __y / (2 * __s2s); __reject = false; } __reject = __reject \|\| __x < -__np \|\| __x > __t - __np; if (!__reject) { const double __lfx = std::lgamma(__np + __x + 1) + std::lgamma(__t - (__np + __x) + 1); __reject = __v > __param._M_lf - __lfx + __x * __param._M_lp1p; } __reject \|= __x + __np >= __thr; } while (__reject); __x += __np + __naf; const _IntType __z = _M_waiting(__urng, __t - _IntType(__x), __param._M_q); __ret = _IntType(__x) + __z; } else #endif __ret = _M_waiting(__urng, __t, __param._M_q); if (__p12 != __p) __ret = __t - __ret; return __ret; } template<typename _IntType> template<typename _ForwardIterator, typename _UniformRandomNumberGenerator> void binomial_distribution<_IntType>:: __generate_impl(_ForwardIterator __f, _ForwardIterator __t, _UniformRandomNumberGenerator& __urng, const param_type& __param) { __glibcxx_function_requires(_ForwardIteratorConcept<_ForwardIterator>) // We could duplicate everything from operator()... while (__f != __t) __f++ = this->operator()(__urng, __param); } template<typename _IntType, typename _CharT, typename _Traits> std::basic_ostream<_CharT, _Traits>& operator<<(std::basic_ostream<_CharT, _Traits>& __os, const binomial_distribution<_IntType>& __x) { typedef std::basic_ostream<_CharT, _Traits> __ostream_type; typedef typename __ostream_type::ios_base __ios_base; const typename __ios_base::fmtflags __flags = __os.flags(); const _CharT __fill = __os.fill(); const std::streamsize __precision = __os.precision(); const _CharT __space = __os.widen(' '); __os.flags(__ios_base::scientific \| __ios_base::left); __os.fill(__space); __os.precision(std::numeric_limits<double>::max_digits10); __os << __x.t() << __space << __x.p() << __space << __x._M_nd; __os.flags(__flags); __os.fill(__fill); __os.precision(__precision); return __os; } template<typename _IntType, typename _CharT, typename _Traits> std::basic_istream<_CharT, _Traits>& operator>>(std::basic_istream<_CharT, _Traits>& __is, binomial_distribution<_IntType>& __x) { typedef std::basic_istream<_CharT, _Traits> __istream_type; typedef typename __istream_type::ios_base __ios_base; const typename __ios_base::fmtflags __flags = __is.flags(); __is.flags(__ios_base::dec \| __ios_base::skipws); _IntType __t; double __p; if (__is >> __t >> __p >> __x._M_nd) __x.param(typename binomial_distribution<_IntType>:: param_type(__t, __p)); __is.flags(__flags); return __is; } template<typename _RealType> template<typename _ForwardIterator, typename _UniformRandomNumberGenerator> void std::exponential_distribution<_RealType>:: __generate_impl(_ForwardIterator __f, _ForwardIterator __t, _UniformRandomNumberGenerator& __urng, const param_type& __p) { __glibcxx_function_requires(_ForwardIteratorConcept<_ForwardIterator>) __detail::_Adaptor<_UniformRandomNumberGenerator, result_type> __aurng(__urng); while (__f != __t) __f++ = -std::log(result_type(1) - __aurng()) / __p.lambda(); } template<typename _RealType, typename _CharT, typename _Traits> std::basic_ostream<_CharT, _Traits>& operator<<(std::basic_ostream<_CharT, _Traits>& __os, const exponential_distribution<_RealType>& __x) { typedef std::basic_ostream<_CharT, _Traits> __ostream_type; typedef typename __ostream_type::ios_base __ios_base; const typename __ios_base::fmtflags __flags = __os.flags(); const _CharT __fill = __os.fill(); const std::streamsize __precision = __os.precision(); __os.flags(__ios_base::scientific \| __ios_base::left); __os.fill(__os.widen(' ')); __os.precision(std::numeric_limits<_RealType>::max_digits10); __os << __x.lambda(); __os.flags(__flags); __os.fill(__fill); __os.precision(__precision); return __os; } template<typename _RealType, typename _CharT, typename _Traits> std::basic_istream<_CharT, _Traits>& operator>>(std::basic_istream<_CharT, _Traits>& __is, exponential_distribution<_RealType>& __x) { typedef std::basic_istream<_CharT, _Traits> __istream_type; typedef typename __istream_type::ios_base __ios_base; const typename __ios_base::fmtflags __flags = __is.flags(); __is.flags(__ios_base::dec \| __ios_base::skipws); _RealType __lambda; if (__is >> __lambda) __x.param(typename exponential_distribution<_RealType>:: param_type(__lambda)); __is.flags(__flags); return __is; } /** * Polar method due to Marsaglia. * * Devroye, L. Non-Uniform Random Variates Generation. Springer-Verlag, * New York, 1986, Ch. V, Sect. 4.4. / template<typename _RealType> template<typename _UniformRandomNumberGenerator> typename normal_distribution<_RealType>::result_type normal_distribution<_RealType>:: operator()(_UniformRandomNumberGenerator& __urng, const param_type& __param) { result_type __ret; __detail::_Adaptor<_UniformRandomNumberGenerator, result_type> __aurng(__urng); if (_M_saved_available) { _M_saved_available = false; __ret = _M_saved; } else { result_type __x, __y, __r2; do { __x = result_type(2.0) __aurng() - 1.0; __y = result_type(2.0) * __aurng() - 1.0; __r2 = __x * __x + __y * __y; } while (__r2 > 1.0 \|\| __r2 == 0.0); const result_type __mult = std::sqrt(-2 * std::log(__r2) / __r2); _M_saved = __x * __mult; _M_saved_available = true; __ret = __y * __mult; } __ret = __ret * __param.stddev() + __param.mean(); return __ret; } template<typename _RealType> template<typename _ForwardIterator, typename _UniformRandomNumberGenerator> void normal_distribution<_RealType>:: __generate_impl(_ForwardIterator __f, _ForwardIterator __t, _UniformRandomNumberGenerator& __urng, const param_type& __param) { __glibcxx_function_requires(_ForwardIteratorConcept<_ForwardIterator>) if (__f == __t) return; if (_M_saved_available) { _M_saved_available = false; __f++ = _M_saved __param.stddev() + __param.mean(); if (__f == __t) return; } __detail::_Adaptor<_UniformRandomNumberGenerator, result_type> __aurng(__urng); while (__f + 1 < __t) { result_type __x, __y, __r2; do { __x = result_type(2.0) * __aurng() - 1.0; __y = result_type(2.0) * __aurng() - 1.0; __r2 = __x * __x + __y * __y; } while (__r2 > 1.0 \|\| __r2 == 0.0); const result_type __mult = std::sqrt(-2 * std::log(__r2) / __r2); __f++ = __y __mult * __param.stddev() + __param.mean(); __f++ = __x __mult * __param.stddev() + __param.mean(); } if (__f != __t) { result_type __x, __y, __r2; do { __x = result_type(2.0) * __aurng() - 1.0; __y = result_type(2.0) * __aurng() - 1.0; __r2 = __x * __x + __y * __y; } while (__r2 > 1.0 \|\| __r2 == 0.0); const result_type __mult = std::sqrt(-2 * std::log(__r2) / __r2); _M_saved = __x * __mult; _M_saved_available = true; __f = __y __mult * __param.stddev() + __param.mean(); } } template<typename _RealType> bool operator==(const std::normal_distribution<_RealType>& __d1, const std::normal_distribution<_RealType>& __d2) { if (__d1._M_param == __d2._M_param && __d1._M_saved_available == __d2._M_saved_available) { if (__d1._M_saved_available && __d1._M_saved == __d2._M_saved) return true; else if(!__d1._M_saved_available) return true; else return false; } else return false; } template<typename _RealType, typename _CharT, typename _Traits> std::basic_ostream<_CharT, _Traits>& operator<<(std::basic_ostream<_CharT, _Traits>& __os, const normal_distribution<_RealType>& __x) { typedef std::basic_ostream<_CharT, _Traits> __ostream_type; typedef typename __ostream_type::ios_base __ios_base; const typename __ios_base::fmtflags __flags = __os.flags(); const _CharT __fill = __os.fill(); const std::streamsize __precision = __os.precision(); const _CharT __space = __os.widen(' '); __os.flags(__ios_base::scientific \| __ios_base::left); __os.fill(__space); __os.precision(std::numeric_limits<_RealType>::max_digits10); __os << __x.mean() << __space << __x.stddev() << __space << __x._M_saved_available; if (__x._M_saved_available) __os << __space << __x._M_saved; __os.flags(__flags); __os.fill(__fill); __os.precision(__precision); return __os; } template<typename _RealType, typename _CharT, typename _Traits> std::basic_istream<_CharT, _Traits>& operator>>(std::basic_istream<_CharT, _Traits>& __is, normal_distribution<_RealType>& __x) { typedef std::basic_istream<_CharT, _Traits> __istream_type; typedef typename __istream_type::ios_base __ios_base; const typename __ios_base::fmtflags __flags = __is.flags(); __is.flags(__ios_base::dec \| __ios_base::skipws); double __mean, __stddev; bool __saved_avail; if (__is >> __mean >> __stddev >> __saved_avail) { if (!__saved_avail \|\| (__is >> __x._M_saved)) { __x._M_saved_available = __saved_avail; __x.param(typename normal_distribution<_RealType>:: param_type(__mean, __stddev)); } } __is.flags(__flags); return __is; } template<typename _RealType> template<typename _ForwardIterator, typename _UniformRandomNumberGenerator> void lognormal_distribution<_RealType>:: __generate_impl(_ForwardIterator __f, _ForwardIterator __t, _UniformRandomNumberGenerator& __urng, const param_type& __p) { __glibcxx_function_requires(_ForwardIteratorConcept<_ForwardIterator>) while (__f != __t) __f++ = std::exp(__p.s() _M_nd(__urng) + __p.m()); } template<typename _RealType, typename _CharT, typename _Traits> std::basic_ostream<_CharT, _Traits>& operator<<(std::basic_ostream<_CharT, _Traits>& __os, const lognormal_distribution<_RealType>& __x) { typedef std::basic_ostream<_CharT, _Traits> __ostream_type; typedef typename __ostream_type::ios_base __ios_base; const typename __ios_base::fmtflags __flags = __os.flags(); const _CharT __fill = __os.fill(); const std::streamsize __precision = __os.precision(); const _CharT __space = __os.widen(' '); __os.flags(__ios_base::scientific \| __ios_base::left); __os.fill(__space); __os.precision(std::numeric_limits<_RealType>::max_digits10); __os << __x.m() << __space << __x.s() << __space << __x._M_nd; __os.flags(__flags); __os.fill(__fill); __os.precision(__precision); return __os; } template<typename _RealType, typename _CharT, typename _Traits> std::basic_istream<_CharT, _Traits>& operator>>(std::basic_istream<_CharT, _Traits>& __is, lognormal_distribution<_RealType>& __x) { typedef std::basic_istream<_CharT, _Traits> __istream_type; typedef typename __istream_type::ios_base __ios_base; const typename __ios_base::fmtflags __flags = __is.flags(); __is.flags(__ios_base::dec \| __ios_base::skipws); _RealType __m, __s; if (__is >> __m >> __s >> __x._M_nd) __x.param(typename lognormal_distribution<_RealType>:: param_type(__m, __s)); __is.flags(__flags); return __is; } template<typename _RealType> template<typename _ForwardIterator, typename _UniformRandomNumberGenerator> void std::chi_squared_distribution<_RealType>:: __generate_impl(_ForwardIterator __f, _ForwardIterator __t, _UniformRandomNumberGenerator& __urng) { __glibcxx_function_requires(_ForwardIteratorConcept<_ForwardIterator>) while (__f != __t) __f++ = 2 _M_gd(__urng); } template<typename _RealType> template<typename _ForwardIterator, typename _UniformRandomNumberGenerator> void std::chi_squared_distribution<_RealType>:: __generate_impl(_ForwardIterator __f, _ForwardIterator __t, _UniformRandomNumberGenerator& __urng, const typename std::gamma_distribution<result_type>::param_type& __p) { __glibcxx_function_requires(_ForwardIteratorConcept<_ForwardIterator>) while (__f != __t) __f++ = 2 _M_gd(__urng, __p); } template<typename _RealType, typename _CharT, typename _Traits> std::basic_ostream<_CharT, _Traits>& operator<<(std::basic_ostream<_CharT, _Traits>& __os, const chi_squared_distribution<_RealType>& __x) { typedef std::basic_ostream<_CharT, _Traits> __ostream_type; typedef typename __ostream_type::ios_base __ios_base; const typename __ios_base::fmtflags __flags = __os.flags(); const _CharT __fill = __os.fill(); const std::streamsize __precision = __os.precision(); const _CharT __space = __os.widen(' '); __os.flags(__ios_base::scientific \| __ios_base::left); __os.fill(__space); __os.precision(std::numeric_limits<_RealType>::max_digits10); __os << __x.n() << __space << __x._M_gd; __os.flags(__flags); __os.fill(__fill); __os.precision(__precision); return __os; } template<typename _RealType, typename _CharT, typename _Traits> std::basic_istream<_CharT, _Traits>& operator>>(std::basic_istream<_CharT, _Traits>& __is, chi_squared_distribution<_RealType>& __x) { typedef std::basic_istream<_CharT, _Traits> __istream_type; typedef typename __istream_type::ios_base __ios_base; const typename __ios_base::fmtflags __flags = __is.flags(); __is.flags(__ios_base::dec \| __ios_base::skipws); _RealType __n; if (__is >> __n >> __x._M_gd) __x.param(typename chi_squared_distribution<_RealType>:: param_type(__n)); __is.flags(__flags); return __is; } template<typename _RealType> template<typename _UniformRandomNumberGenerator> typename cauchy_distribution<_RealType>::result_type cauchy_distribution<_RealType>:: operator()(_UniformRandomNumberGenerator& __urng, const param_type& __p) { __detail::_Adaptor<_UniformRandomNumberGenerator, result_type> __aurng(__urng); _RealType __u; do __u = __aurng(); while (__u == 0.5); const _RealType __pi = 3.1415926535897932384626433832795029L; return __p.a() + __p.b() * std::tan(__pi * __u); } template<typename _RealType> template<typename _ForwardIterator, typename _UniformRandomNumberGenerator> void cauchy_distribution<_RealType>:: __generate_impl(_ForwardIterator __f, _ForwardIterator __t, _UniformRandomNumberGenerator& __urng, const param_type& __p) { __glibcxx_function_requires(_ForwardIteratorConcept<_ForwardIterator>) const _RealType __pi = 3.1415926535897932384626433832795029L; __detail::_Adaptor<_UniformRandomNumberGenerator, result_type> __aurng(__urng); while (__f != __t) { _RealType __u; do __u = __aurng(); while (__u == 0.5); __f++ = __p.a() + __p.b() std::tan(__pi * __u); } } template<typename _RealType, typename _CharT, typename _Traits> std::basic_ostream<_CharT, _Traits>& operator<<(std::basic_ostream<_CharT, _Traits>& __os, const cauchy_distribution<_RealType>& __x) { typedef std::basic_ostream<_CharT, _Traits> __ostream_type; typedef typename __ostream_type::ios_base __ios_base; const typename __ios_base::fmtflags __flags = __os.flags(); const _CharT __fill = __os.fill(); const std::streamsize __precision = __os.precision(); const _CharT __space = __os.widen(' '); __os.flags(__ios_base::scientific \| __ios_base::left); __os.fill(__space); __os.precision(std::numeric_limits<_RealType>::max_digits10); __os << __x.a() << __space << __x.b(); __os.flags(__flags); __os.fill(__fill); __os.precision(__precision); return __os; } template<typename _RealType, typename _CharT, typename _Traits> std::basic_istream<_CharT, _Traits>& operator>>(std::basic_istream<_CharT, _Traits>& __is, cauchy_distribution<_RealType>& __x) { typedef std::basic_istream<_CharT, _Traits> __istream_type; typedef typename __istream_type::ios_base __ios_base; const typename __ios_base::fmtflags __flags = __is.flags(); __is.flags(__ios_base::dec \| __ios_base::skipws); _RealType __a, __b; if (__is >> __a >> __b) __x.param(typename cauchy_distribution<_RealType>:: param_type(__a, __b)); __is.flags(__flags); return __is; } template<typename _RealType> template<typename _ForwardIterator, typename _UniformRandomNumberGenerator> void std::fisher_f_distribution<_RealType>:: __generate_impl(_ForwardIterator __f, _ForwardIterator __t, _UniformRandomNumberGenerator& __urng) { __glibcxx_function_requires(_ForwardIteratorConcept<_ForwardIterator>) while (__f != __t) __f++ = ((_M_gd_x(__urng) n()) / (_M_gd_y(__urng) * m())); } template<typename _RealType> template<typename _ForwardIterator, typename _UniformRandomNumberGenerator> void std::fisher_f_distribution<_RealType>:: __generate_impl(_ForwardIterator __f, _ForwardIterator __t, _UniformRandomNumberGenerator& __urng, const param_type& __p) { __glibcxx_function_requires(_ForwardIteratorConcept<_ForwardIterator>) typedef typename std::gamma_distribution<result_type>::param_type param_type; param_type __p1(__p.m() / 2); param_type __p2(__p.n() / 2); while (__f != __t) __f++ = ((_M_gd_x(__urng, __p1) n()) / (_M_gd_y(__urng, __p2) * m())); } template<typename _RealType, typename _CharT, typename _Traits> std::basic_ostream<_CharT, _Traits>& operator<<(std::basic_ostream<_CharT, _Traits>& __os, const fisher_f_distribution<_RealType>& __x) { typedef std::basic_ostream<_CharT, _Traits> __ostream_type; typedef typename __ostream_type::ios_base __ios_base; const typename __ios_base::fmtflags __flags = __os.flags(); const _CharT __fill = __os.fill(); const std::streamsize __precision = __os.precision(); const _CharT __space = __os.widen(' '); __os.flags(__ios_base::scientific \| __ios_base::left); __os.fill(__space); __os.precision(std::numeric_limits<_RealType>::max_digits10); __os << __x.m() << __space << __x.n() << __space << __x._M_gd_x << __space << __x._M_gd_y; __os.flags(__flags); __os.fill(__fill); __os.precision(__precision); return __os; } template<typename _RealType, typename _CharT, typename _Traits> std::basic_istream<_CharT, _Traits>& operator>>(std::basic_istream<_CharT, _Traits>& __is, fisher_f_distribution<_RealType>& __x) { typedef std::basic_istream<_CharT, _Traits> __istream_type; typedef typename __istream_type::ios_base __ios_base; const typename __ios_base::fmtflags __flags = __is.flags(); __is.flags(__ios_base::dec \| __ios_base::skipws); _RealType __m, __n; if (__is >> __m >> __n >> __x._M_gd_x >> __x._M_gd_y) __x.param(typename fisher_f_distribution<_RealType>:: param_type(__m, __n)); __is.flags(__flags); return __is; } template<typename _RealType> template<typename _ForwardIterator, typename _UniformRandomNumberGenerator> void std::student_t_distribution<_RealType>:: __generate_impl(_ForwardIterator __f, _ForwardIterator __t, _UniformRandomNumberGenerator& __urng) { __glibcxx_function_requires(_ForwardIteratorConcept<_ForwardIterator>) while (__f != __t) __f++ = _M_nd(__urng) std::sqrt(n() / _M_gd(__urng)); } template<typename _RealType> template<typename _ForwardIterator, typename _UniformRandomNumberGenerator> void std::student_t_distribution<_RealType>:: __generate_impl(_ForwardIterator __f, _ForwardIterator __t, _UniformRandomNumberGenerator& __urng, const param_type& __p) { __glibcxx_function_requires(_ForwardIteratorConcept<_ForwardIterator>) typename std::gamma_distribution<result_type>::param_type __p2(__p.n() / 2, 2); while (__f != __t) __f++ = _M_nd(__urng) std::sqrt(__p.n() / _M_gd(__urng, __p2)); } template<typename _RealType, typename _CharT, typename _Traits> std::basic_ostream<_CharT, _Traits>& operator<<(std::basic_ostream<_CharT, _Traits>& __os, const student_t_distribution<_RealType>& __x) { typedef std::basic_ostream<_CharT, _Traits> __ostream_type; typedef typename __ostream_type::ios_base __ios_base; const typename __ios_base::fmtflags __flags = __os.flags(); const _CharT __fill = __os.fill(); const std::streamsize __precision = __os.precision(); const _CharT __space = __os.widen(' '); __os.flags(__ios_base::scientific \| __ios_base::left); __os.fill(__space); __os.precision(std::numeric_limits<_RealType>::max_digits10); __os << __x.n() << __space << __x._M_nd << __space << __x._M_gd; __os.flags(__flags); __os.fill(__fill); __os.precision(__precision); return __os; } template<typename _RealType, typename _CharT, typename _Traits> std::basic_istream<_CharT, _Traits>& operator>>(std::basic_istream<_CharT, _Traits>& __is, student_t_distribution<_RealType>& __x) { typedef std::basic_istream<_CharT, _Traits> __istream_type; typedef typename __istream_type::ios_base __ios_base; const typename __ios_base::fmtflags __flags = __is.flags(); __is.flags(__ios_base::dec \| __ios_base::skipws); _RealType __n; if (__is >> __n >> __x._M_nd >> __x._M_gd) __x.param(typename student_t_distribution<_RealType>::param_type(__n)); __is.flags(__flags); return __is; } template<typename _RealType> void gamma_distribution<_RealType>::param_type:: _M_initialize() { _M_malpha = _M_alpha < 1.0 ? _M_alpha + _RealType(1.0) : _M_alpha; const _RealType __a1 = _M_malpha - _RealType(1.0) / _RealType(3.0); _M_a2 = _RealType(1.0) / std::sqrt(_RealType(9.0) * __a1); } /** * Marsaglia, G. and Tsang, W. W. * "A Simple Method for Generating Gamma Variables" * ACM Transactions on Mathematical Software, 26, 3, 363-372, 2000. / template<typename _RealType> template<typename _UniformRandomNumberGenerator> typename gamma_distribution<_RealType>::result_type gamma_distribution<_RealType>:: operator()(_UniformRandomNumberGenerator& __urng, const param_type& __param) { __detail::_Adaptor<_UniformRandomNumberGenerator, result_type> __aurng(__urng); result_type __u, __v, __n; const result_type __a1 = (__param._M_malpha - _RealType(1.0) / _RealType(3.0)); do { do { __n = _M_nd(__urng); __v = result_type(1.0) + __param._M_a2 __n; } while (__v <= 0.0); __v = __v * __v * __v; __u = __aurng(); } while (__u > result_type(1.0) - 0.0331 * __n * __n * __n * __n && (std::log(__u) > (0.5 * __n * __n + __a1 * (1.0 - __v + std::log(__v))))); if (__param.alpha() == __param._M_malpha) return __a1 * __v * __param.beta(); else { do __u = __aurng(); while (__u == 0.0); return (std::pow(__u, result_type(1.0) / __param.alpha()) * __a1 * __v * __param.beta()); } } template<typename _RealType> template<typename _ForwardIterator, typename _UniformRandomNumberGenerator> void gamma_distribution<_RealType>:: __generate_impl(_ForwardIterator __f, _ForwardIterator __t, _UniformRandomNumberGenerator& __urng, const param_type& __param) { __glibcxx_function_requires(_ForwardIteratorConcept<_ForwardIterator>) __detail::_Adaptor<_UniformRandomNumberGenerator, result_type> __aurng(__urng); result_type __u, __v, __n; const result_type __a1 = (__param._M_malpha - _RealType(1.0) / _RealType(3.0)); if (__param.alpha() == __param._M_malpha) while (__f != __t) { do { do { __n = _M_nd(__urng); __v = result_type(1.0) + __param._M_a2 * __n; } while (__v <= 0.0); __v = __v * __v * __v; __u = __aurng(); } while (__u > result_type(1.0) - 0.0331 * __n * __n * __n * __n && (std::log(__u) > (0.5 * __n * __n + __a1 * (1.0 - __v + std::log(__v))))); __f++ = __a1 __v * __param.beta(); } else while (__f != __t) { do { do { __n = _M_nd(__urng); __v = result_type(1.0) + __param._M_a2 * __n; } while (__v <= 0.0); __v = __v * __v * __v; __u = __aurng(); } while (__u > result_type(1.0) - 0.0331 * __n * __n * __n * __n && (std::log(__u) > (0.5 * __n * __n + __a1 * (1.0 - __v + std::log(__v))))); do __u = __aurng(); while (__u == 0.0); __f++ = (std::pow(__u, result_type(1.0) / __param.alpha()) __a1 * __v * __param.beta()); } } template<typename _RealType, typename _CharT, typename _Traits> std::basic_ostream<_CharT, _Traits>& operator<<(std::basic_ostream<_CharT, _Traits>& __os, const gamma_distribution<_RealType>& __x) { typedef std::basic_ostream<_CharT, _Traits> __ostream_type; typedef typename __ostream_type::ios_base __ios_base; const typename __ios_base::fmtflags __flags = __os.flags(); const _CharT __fill = __os.fill(); const std::streamsize __precision = __os.precision(); const _CharT __space = __os.widen(' '); __os.flags(__ios_base::scientific \| __ios_base::left); __os.fill(__space); __os.precision(std::numeric_limits<_RealType>::max_digits10); __os << __x.alpha() << __space << __x.beta() << __space << __x._M_nd; __os.flags(__flags); __os.fill(__fill); __os.precision(__precision); return __os; } template<typename _RealType, typename _CharT, typename _Traits> std::basic_istream<_CharT, _Traits>& operator>>(std::basic_istream<_CharT, _Traits>& __is, gamma_distribution<_RealType>& __x) { typedef std::basic_istream<_CharT, _Traits> __istream_type; typedef typename __istream_type::ios_base __ios_base; const typename __ios_base::fmtflags __flags = __is.flags(); __is.flags(__ios_base::dec \| __ios_base::skipws); _RealType __alpha_val, __beta_val; if (__is >> __alpha_val >> __beta_val >> __x._M_nd) __x.param(typename gamma_distribution<_RealType>:: param_type(__alpha_val, __beta_val)); __is.flags(__flags); return __is; } template<typename _RealType> template<typename _UniformRandomNumberGenerator> typename weibull_distribution<_RealType>::result_type weibull_distribution<_RealType>:: operator()(_UniformRandomNumberGenerator& __urng, const param_type& __p) { __detail::_Adaptor<_UniformRandomNumberGenerator, result_type> __aurng(__urng); return __p.b() * std::pow(-std::log(result_type(1) - __aurng()), result_type(1) / __p.a()); } template<typename _RealType> template<typename _ForwardIterator, typename _UniformRandomNumberGenerator> void weibull_distribution<_RealType>:: __generate_impl(_ForwardIterator __f, _ForwardIterator __t, _UniformRandomNumberGenerator& __urng, const param_type& __p) { __glibcxx_function_requires(_ForwardIteratorConcept<_ForwardIterator>) __detail::_Adaptor<_UniformRandomNumberGenerator, result_type> __aurng(__urng); auto __inv_a = result_type(1) / __p.a(); while (__f != __t) __f++ = __p.b() std::pow(-std::log(result_type(1) - __aurng()), __inv_a); } template<typename _RealType, typename _CharT, typename _Traits> std::basic_ostream<_CharT, _Traits>& operator<<(std::basic_ostream<_CharT, _Traits>& __os, const weibull_distribution<_RealType>& __x) { typedef std::basic_ostream<_CharT, _Traits> __ostream_type; typedef typename __ostream_type::ios_base __ios_base; const typename __ios_base::fmtflags __flags = __os.flags(); const _CharT __fill = __os.fill(); const std::streamsize __precision = __os.precision(); const _CharT __space = __os.widen(' '); __os.flags(__ios_base::scientific \| __ios_base::left); __os.fill(__space); __os.precision(std::numeric_limits<_RealType>::max_digits10); __os << __x.a() << __space << __x.b(); __os.flags(__flags); __os.fill(__fill); __os.precision(__precision); return __os; } template<typename _RealType, typename _CharT, typename _Traits> std::basic_istream<_CharT, _Traits>& operator>>(std::basic_istream<_CharT, _Traits>& __is, weibull_distribution<_RealType>& __x) { typedef std::basic_istream<_CharT, _Traits> __istream_type; typedef typename __istream_type::ios_base __ios_base; const typename __ios_base::fmtflags __flags = __is.flags(); __is.flags(__ios_base::dec \| __ios_base::skipws); _RealType __a, __b; if (__is >> __a >> __b) __x.param(typename weibull_distribution<_RealType>:: param_type(__a, __b)); __is.flags(__flags); return __is; } template<typename _RealType> template<typename _UniformRandomNumberGenerator> typename extreme_value_distribution<_RealType>::result_type extreme_value_distribution<_RealType>:: operator()(_UniformRandomNumberGenerator& __urng, const param_type& __p) { __detail::_Adaptor<_UniformRandomNumberGenerator, result_type> __aurng(__urng); return __p.a() - __p.b() * std::log(-std::log(result_type(1) - __aurng())); } template<typename _RealType> template<typename _ForwardIterator, typename _UniformRandomNumberGenerator> void extreme_value_distribution<_RealType>:: __generate_impl(_ForwardIterator __f, _ForwardIterator __t, _UniformRandomNumberGenerator& __urng, const param_type& __p) { __glibcxx_function_requires(_ForwardIteratorConcept<_ForwardIterator>) __detail::_Adaptor<_UniformRandomNumberGenerator, result_type> __aurng(__urng); while (__f != __t) __f++ = __p.a() - __p.b() std::log(-std::log(result_type(1) - __aurng())); } template<typename _RealType, typename _CharT, typename _Traits> std::basic_ostream<_CharT, _Traits>& operator<<(std::basic_ostream<_CharT, _Traits>& __os, const extreme_value_distribution<_RealType>& __x) { typedef std::basic_ostream<_CharT, _Traits> __ostream_type; typedef typename __ostream_type::ios_base __ios_base; const typename __ios_base::fmtflags __flags = __os.flags(); const _CharT __fill = __os.fill(); const std::streamsize __precision = __os.precision(); const _CharT __space = __os.widen(' '); __os.flags(__ios_base::scientific \| __ios_base::left); __os.fill(__space); __os.precision(std::numeric_limits<_RealType>::max_digits10); __os << __x.a() << __space << __x.b(); __os.flags(__flags); __os.fill(__fill); __os.precision(__precision); return __os; } template<typename _RealType, typename _CharT, typename _Traits> std::basic_istream<_CharT, _Traits>& operator>>(std::basic_istream<_CharT, _Traits>& __is, extreme_value_distribution<_RealType>& __x) { typedef std::basic_istream<_CharT, _Traits> __istream_type; typedef typename __istream_type::ios_base __ios_base; const typename __ios_base::fmtflags __flags = __is.flags(); __is.flags(__ios_base::dec \| __ios_base::skipws); _RealType __a, __b; if (__is >> __a >> __b) __x.param(typename extreme_value_distribution<_RealType>:: param_type(__a, __b)); __is.flags(__flags); return __is; } template<typename _IntType> void discrete_distribution<_IntType>::param_type:: _M_initialize() { if (_M_prob.size() < 2) { _M_prob.clear(); return; } const double __sum = std::accumulate(_M_prob.begin(), _M_prob.end(), 0.0); // Now normalize the probabilites. __detail::__normalize(_M_prob.begin(), _M_prob.end(), _M_prob.begin(), __sum); // Accumulate partial sums. _M_cp.reserve(_M_prob.size()); std::partial_sum(_M_prob.begin(), _M_prob.end(), std::back_inserter(_M_cp)); // Make sure the last cumulative probability is one. _M_cp[_M_cp.size() - 1] = 1.0; } template<typename _IntType> template<typename _Func> discrete_distribution<_IntType>::param_type:: param_type(size_t __nw, double __xmin, double __xmax, _Func __fw) : _M_prob(), _M_cp() { const size_t __n = __nw == 0 ? 1 : __nw; const double __delta = (__xmax - __xmin) / __n; _M_prob.reserve(__n); for (size_t __k = 0; __k < __nw; ++__k) _M_prob.push_back(__fw(__xmin + __k * __delta + 0.5 * __delta)); _M_initialize(); } template<typename _IntType> template<typename _UniformRandomNumberGenerator> typename discrete_distribution<_IntType>::result_type discrete_distribution<_IntType>:: operator()(_UniformRandomNumberGenerator& __urng, const param_type& __param) { if (__param._M_cp.empty()) return result_type(0); __detail::_Adaptor<_UniformRandomNumberGenerator, double> __aurng(__urng); const double __p = __aurng(); auto __pos = std::lower_bound(__param._M_cp.begin(), __param._M_cp.end(), __p); return __pos - __param._M_cp.begin(); } template<typename _IntType> template<typename _ForwardIterator, typename _UniformRandomNumberGenerator> void discrete_distribution<_IntType>:: __generate_impl(_ForwardIterator __f, _ForwardIterator __t, _UniformRandomNumberGenerator& __urng, const param_type& __param) { __glibcxx_function_requires(_ForwardIteratorConcept<_ForwardIterator>) if (__param._M_cp.empty()) { while (__f != __t) __f++ = result_type(0); return; } __detail::_Adaptor<_UniformRandomNumberGenerator, double> __aurng(__urng); while (__f != __t) { const double __p = __aurng(); auto __pos = std::lower_bound(__param._M_cp.begin(), __param._M_cp.end(), __p); __f++ = __pos - __param._M_cp.begin(); } } template<typename _IntType, typename _CharT, typename _Traits> std::basic_ostream<_CharT, _Traits>& operator<<(std::basic_ostream<_CharT, _Traits>& __os, const discrete_distribution<_IntType>& __x) { typedef std::basic_ostream<_CharT, _Traits> __ostream_type; typedef typename __ostream_type::ios_base __ios_base; const typename __ios_base::fmtflags __flags = __os.flags(); const _CharT __fill = __os.fill(); const std::streamsize __precision = __os.precision(); const _CharT __space = __os.widen(' '); __os.flags(__ios_base::scientific \| __ios_base::left); __os.fill(__space); __os.precision(std::numeric_limits<double>::max_digits10); std::vector<double> __prob = __x.probabilities(); __os << __prob.size(); for (auto __dit = __prob.begin(); __dit != __prob.end(); ++__dit) __os << __space << __dit; __os.flags(__flags); __os.fill(__fill); __os.precision(__precision); return __os; } namespace __detail { template<typename _ValT, typename _CharT, typename _Traits> basic_istream<_CharT, _Traits>& __extract_params(basic_istream<_CharT, _Traits>& __is, vector<_ValT>& __vals, size_t __n) { __vals.reserve(__n); while (__n--) { _ValT __val; if (__is >> __val) __vals.push_back(__val); else break; } return __is; } } // namespace __detail template<typename _IntType, typename _CharT, typename _Traits> std::basic_istream<_CharT, _Traits>& operator>>(std::basic_istream<_CharT, _Traits>& __is, discrete_distribution<_IntType>& __x) { typedef std::basic_istream<_CharT, _Traits> __istream_type; typedef typename __istream_type::ios_base __ios_base; const typename __ios_base::fmtflags __flags = __is.flags(); __is.flags(__ios_base::dec \| __ios_base::skipws); size_t __n; if (__is >> __n) { std::vector<double> __prob_vec; if (__detail::__extract_params(__is, __prob_vec, __n)) __x.param({__prob_vec.begin(), __prob_vec.end()}); } __is.flags(__flags); return __is; } template<typename _RealType> void piecewise_constant_distribution<_RealType>::param_type:: _M_initialize() { if (_M_int.size() < 2 \|\| (_M_int.size() == 2 && _M_int[0] == _RealType(0) && _M_int[1] == _RealType(1))) { _M_int.clear(); _M_den.clear(); return; } const double __sum = std::accumulate(_M_den.begin(), _M_den.end(), 0.0); __detail::__normalize(_M_den.begin(), _M_den.end(), _M_den.begin(), __sum); _M_cp.reserve(_M_den.size()); std::partial_sum(_M_den.begin(), _M_den.end(), std::back_inserter(_M_cp)); // Make sure the last cumulative probability is one. _M_cp[_M_cp.size() - 1] = 1.0; for (size_t __k = 0; __k < _M_den.size(); ++__k) _M_den[__k] /= _M_int[__k + 1] - _M_int[__k]; } template<typename _RealType> template<typename _InputIteratorB, typename _InputIteratorW> piecewise_constant_distribution<_RealType>::param_type:: param_type(_InputIteratorB __bbegin, _InputIteratorB __bend, _InputIteratorW __wbegin) : _M_int(), _M_den(), _M_cp() { if (__bbegin != __bend) { for (;;) { _M_int.push_back(__bbegin); ++__bbegin; if (__bbegin == __bend) break; _M_den.push_back(__wbegin); ++__wbegin; } } _M_initialize(); } template<typename _RealType> template<typename _Func> piecewise_constant_distribution<_RealType>::param_type:: param_type(initializer_list<_RealType> __bl, _Func __fw) : _M_int(), _M_den(), _M_cp() { _M_int.reserve(__bl.size()); for (auto __biter = __bl.begin(); __biter != __bl.end(); ++__biter) _M_int.push_back(__biter); _M_den.reserve(_M_int.size() - 1); for (size_t __k = 0; __k < _M_int.size() - 1; ++__k) _M_den.push_back(__fw(0.5 * (_M_int[__k + 1] + _M_int[__k]))); _M_initialize(); } template<typename _RealType> template<typename _Func> piecewise_constant_distribution<_RealType>::param_type:: param_type(size_t __nw, _RealType __xmin, _RealType __xmax, _Func __fw) : _M_int(), _M_den(), _M_cp() { const size_t __n = __nw == 0 ? 1 : __nw; const _RealType __delta = (__xmax - __xmin) / __n; _M_int.reserve(__n + 1); for (size_t __k = 0; __k <= __nw; ++__k) _M_int.push_back(__xmin + __k * __delta); _M_den.reserve(__n); for (size_t __k = 0; __k < __nw; ++__k) _M_den.push_back(__fw(_M_int[__k] + 0.5 * __delta)); _M_initialize(); } template<typename _RealType> template<typename _UniformRandomNumberGenerator> typename piecewise_constant_distribution<_RealType>::result_type piecewise_constant_distribution<_RealType>:: operator()(_UniformRandomNumberGenerator& __urng, const param_type& __param) { __detail::_Adaptor<_UniformRandomNumberGenerator, double> __aurng(__urng); const double __p = __aurng(); if (__param._M_cp.empty()) return __p; auto __pos = std::lower_bound(__param._M_cp.begin(), __param._M_cp.end(), __p); const size_t __i = __pos - __param._M_cp.begin(); const double __pref = __i > 0 ? __param._M_cp[__i - 1] : 0.0; return __param._M_int[__i] + (__p - __pref) / __param._M_den[__i]; } template<typename _RealType> template<typename _ForwardIterator, typename _UniformRandomNumberGenerator> void piecewise_constant_distribution<_RealType>:: __generate_impl(_ForwardIterator __f, _ForwardIterator __t, _UniformRandomNumberGenerator& __urng, const param_type& __param) { __glibcxx_function_requires(_ForwardIteratorConcept<_ForwardIterator>) __detail::_Adaptor<_UniformRandomNumberGenerator, double> __aurng(__urng); if (__param._M_cp.empty()) { while (__f != __t) __f++ = __aurng(); return; } while (__f != __t) { const double __p = __aurng(); auto __pos = std::lower_bound(__param._M_cp.begin(), __param._M_cp.end(), __p); const size_t __i = __pos - __param._M_cp.begin(); const double __pref = __i > 0 ? __param._M_cp[__i - 1] : 0.0; __f++ = (__param._M_int[__i] + (__p - __pref) / __param._M_den[__i]); } } template<typename _RealType, typename _CharT, typename _Traits> std::basic_ostream<_CharT, _Traits>& operator<<(std::basic_ostream<_CharT, _Traits>& __os, const piecewise_constant_distribution<_RealType>& __x) { typedef std::basic_ostream<_CharT, _Traits> __ostream_type; typedef typename __ostream_type::ios_base __ios_base; const typename __ios_base::fmtflags __flags = __os.flags(); const _CharT __fill = __os.fill(); const std::streamsize __precision = __os.precision(); const _CharT __space = __os.widen(' '); __os.flags(__ios_base::scientific \| __ios_base::left); __os.fill(__space); __os.precision(std::numeric_limits<_RealType>::max_digits10); std::vector<_RealType> __int = __x.intervals(); __os << __int.size() - 1; for (auto __xit = __int.begin(); __xit != __int.end(); ++__xit) __os << __space << __xit; std::vector<double> __den = __x.densities(); for (auto __dit = __den.begin(); __dit != __den.end(); ++__dit) __os << __space << __dit; __os.flags(__flags); __os.fill(__fill); __os.precision(__precision); return __os; } template<typename _RealType, typename _CharT, typename _Traits> std::basic_istream<_CharT, _Traits>& operator>>(std::basic_istream<_CharT, _Traits>& __is, piecewise_constant_distribution<_RealType>& __x) { typedef std::basic_istream<_CharT, _Traits> __istream_type; typedef typename __istream_type::ios_base __ios_base; const typename __ios_base::fmtflags __flags = __is.flags(); __is.flags(__ios_base::dec \| __ios_base::skipws); size_t __n; if (__is >> __n) { std::vector<_RealType> __int_vec; if (__detail::__extract_params(__is, __int_vec, __n + 1)) { std::vector<double> __den_vec; if (__detail::__extract_params(__is, __den_vec, __n)) { __x.param({ __int_vec.begin(), __int_vec.end(), __den_vec.begin() }); } } } __is.flags(__flags); return __is; } template<typename _RealType> void piecewise_linear_distribution<_RealType>::param_type:: _M_initialize() { if (_M_int.size() < 2 \|\| (_M_int.size() == 2 && _M_int[0] == _RealType(0) && _M_int[1] == _RealType(1) && _M_den[0] == _M_den[1])) { _M_int.clear(); _M_den.clear(); return; } double __sum = 0.0; _M_cp.reserve(_M_int.size() - 1); _M_m.reserve(_M_int.size() - 1); for (size_t __k = 0; __k < _M_int.size() - 1; ++__k) { const _RealType __delta = _M_int[__k + 1] - _M_int[__k]; __sum += 0.5 * (_M_den[__k + 1] + _M_den[__k]) * __delta; _M_cp.push_back(__sum); _M_m.push_back((_M_den[__k + 1] - _M_den[__k]) / __delta); } // Now normalize the densities... __detail::__normalize(_M_den.begin(), _M_den.end(), _M_den.begin(), __sum); // ... and partial sums... __detail::__normalize(_M_cp.begin(), _M_cp.end(), _M_cp.begin(), __sum); // ... and slopes. __detail::__normalize(_M_m.begin(), _M_m.end(), _M_m.begin(), __sum); // Make sure the last cumulative probablility is one. _M_cp[_M_cp.size() - 1] = 1.0; } template<typename _RealType> template<typename _InputIteratorB, typename _InputIteratorW> piecewise_linear_distribution<_RealType>::param_type:: param_type(_InputIteratorB __bbegin, _InputIteratorB __bend, _InputIteratorW __wbegin) : _M_int(), _M_den(), _M_cp(), _M_m() { for (; __bbegin != __bend; ++__bbegin, ++__wbegin) { _M_int.push_back(__bbegin); _M_den.push_back(__wbegin); } _M_initialize(); } template<typename _RealType> template<typename _Func> piecewise_linear_distribution<_RealType>::param_type:: param_type(initializer_list<_RealType> __bl, _Func __fw) : _M_int(), _M_den(), _M_cp(), _M_m() { _M_int.reserve(__bl.size()); _M_den.reserve(__bl.size()); for (auto __biter = __bl.begin(); __biter != __bl.end(); ++__biter) { _M_int.push_back(__biter); _M_den.push_back(__fw(__biter)); } _M_initialize(); } template<typename _RealType> template<typename _Func> piecewise_linear_distribution<_RealType>::param_type:: param_type(size_t __nw, _RealType __xmin, _RealType __xmax, _Func __fw) : _M_int(), _M_den(), _M_cp(), _M_m() { const size_t __n = __nw == 0 ? 1 : __nw; const _RealType __delta = (__xmax - __xmin) / __n; _M_int.reserve(__n + 1); _M_den.reserve(__n + 1); for (size_t __k = 0; __k <= __nw; ++__k) { _M_int.push_back(__xmin + __k * __delta); _M_den.push_back(__fw(_M_int[__k] + __delta)); } _M_initialize(); } template<typename _RealType> template<typename _UniformRandomNumberGenerator> typename piecewise_linear_distribution<_RealType>::result_type piecewise_linear_distribution<_RealType>:: operator()(_UniformRandomNumberGenerator& __urng, const param_type& __param) { __detail::_Adaptor<_UniformRandomNumberGenerator, double> __aurng(__urng); const double __p = __aurng(); if (__param._M_cp.empty()) return __p; auto __pos = std::lower_bound(__param._M_cp.begin(), __param._M_cp.end(), __p); const size_t __i = __pos - __param._M_cp.begin(); const double __pref = __i > 0 ? __param._M_cp[__i - 1] : 0.0; const double __a = 0.5 * __param._M_m[__i]; const double __b = __param._M_den[__i]; const double __cm = __p - __pref; _RealType __x = __param._M_int[__i]; if (__a == 0) __x += __cm / __b; else { const double __d = __b * __b + 4.0 * __a * __cm; __x += 0.5 * (std::sqrt(__d) - __b) / __a; } return __x; } template<typename _RealType> template<typename _ForwardIterator, typename _UniformRandomNumberGenerator> void piecewise_linear_distribution<_RealType>:: __generate_impl(_ForwardIterator __f, _ForwardIterator __t, _UniformRandomNumberGenerator& __urng, const param_type& __param) { __glibcxx_function_requires(_ForwardIteratorConcept<_ForwardIterator>) // We could duplicate everything from operator()... while (__f != __t) __f++ = this->operator()(__urng, __param); } template<typename _RealType, typename _CharT, typename _Traits> std::basic_ostream<_CharT, _Traits>& operator<<(std::basic_ostream<_CharT, _Traits>& __os, const piecewise_linear_distribution<_RealType>& __x) { typedef std::basic_ostream<_CharT, _Traits> __ostream_type; typedef typename __ostream_type::ios_base __ios_base; const typename __ios_base::fmtflags __flags = __os.flags(); const _CharT __fill = __os.fill(); const std::streamsize __precision = __os.precision(); const _CharT __space = __os.widen(' '); __os.flags(__ios_base::scientific \| __ios_base::left); __os.fill(__space); __os.precision(std::numeric_limits<_RealType>::max_digits10); std::vector<_RealType> __int = __x.intervals(); __os << __int.size() - 1; for (auto __xit = __int.begin(); __xit != __int.end(); ++__xit) __os << __space << __xit; std::vector<double> __den = __x.densities(); for (auto __dit = __den.begin(); __dit != __den.end(); ++__dit) __os << __space << __dit; __os.flags(__flags); __os.fill(__fill); __os.precision(__precision); return __os; } template<typename _RealType, typename _CharT, typename _Traits> std::basic_istream<_CharT, _Traits>& operator>>(std::basic_istream<_CharT, _Traits>& __is, piecewise_linear_distribution<_RealType>& __x) { typedef std::basic_istream<_CharT, _Traits> __istream_type; typedef typename __istream_type::ios_base __ios_base; const typename __ios_base::fmtflags __flags = __is.flags(); __is.flags(__ios_base::dec \| __ios_base::skipws); size_t __n; if (__is >> __n) { vector<_RealType> __int_vec; if (__detail::__extract_params(__is, __int_vec, __n + 1)) { vector<double> __den_vec; if (__detail::__extract_params(__is, __den_vec, __n + 1)) { __x.param({ __int_vec.begin(), __int_vec.end(), __den_vec.begin() }); } } } __is.flags(__flags); return __is; } template<typename _IntType> seed_seq::seed_seq(std::initializer_list<_IntType> __il) { for (auto __iter = __il.begin(); __iter != __il.end(); ++__iter) _M_v.push_back(__detail::__mod<result_type, __detail::_Shift<result_type, 32>::__value>(__iter)); } template<typename _InputIterator> seed_seq::seed_seq(_InputIterator __begin, _InputIterator __end) { for (_InputIterator __iter = __begin; __iter != __end; ++__iter) _M_v.push_back(__detail::__mod<result_type, __detail::_Shift<result_type, 32>::__value>(__iter)); } template<typename _RandomAccessIterator> void seed_seq::generate(_RandomAccessIterator __begin, _RandomAccessIterator __end) { typedef typename iterator_traits<_RandomAccessIterator>::value_type _Type; if (__begin == __end) return; std::fill(__begin, __end, _Type(0x8b8b8b8bu)); const size_t __n = __end - __begin; const size_t __s = _M_v.size(); const size_t __t = (__n >= 623) ? 11 : (__n >= 68) ? 7 : (__n >= 39) ? 5 : (__n >= 7) ? 3 : (__n - 1) / 2; const size_t __p = (__n - __t) / 2; const size_t __q = __p + __t; const size_t __m = std::max(size_t(__s + 1), __n); for (size_t __k = 0; __k < __m; ++__k) { _Type __arg = (__begin[__k % __n] ^ __begin[(__k + __p) % __n] ^ __begin[(__k - 1) % __n]); _Type __r1 = __arg ^ (__arg >> 27); __r1 = __detail::__mod<_Type, __detail::_Shift<_Type, 32>::__value>(1664525u __r1); _Type __r2 = __r1; if (__k == 0) __r2 += __s; else if (__k <= __s) __r2 += __k % __n + _M_v[__k - 1]; else __r2 += __k % __n; __r2 = __detail::__mod<_Type, __detail::_Shift<_Type, 32>::__value>(__r2); __begin[(__k + __p) % __n] += __r1; __begin[(__k + __q) % __n] += __r2; __begin[__k % __n] = __r2; } for (size_t __k = __m; __k < __m + __n; ++__k) { _Type __arg = (__begin[__k % __n] + __begin[(__k + __p) % __n] + __begin[(__k - 1) % __n]); _Type __r3 = __arg ^ (__arg >> 27); __r3 = __detail::__mod<_Type, __detail::_Shift<_Type, 32>::__value>(1566083941u * __r3); _Type __r4 = __r3 - __k % __n; __r4 = __detail::__mod<_Type, __detail::_Shift<_Type, 32>::__value>(__r4); __begin[(__k + __p) % __n] ^= __r3; __begin[(__k + __q) % __n] ^= __r4; __begin[__k % __n] = __r4; } } template<typename _RealType, size_t __bits, typename _UniformRandomNumberGenerator> _RealType generate_canonical(_UniformRandomNumberGenerator& __urng) { static_assert(std::is_floating_point<_RealType>::value, "template argument must be a floating point type"); const size_t __b = std::min(static_cast<size_t>(std::numeric_limits<_RealType>::digits), __bits); const long double __r = static_cast<long double>(__urng.max()) - static_cast<long double>(__urng.min()) + 1.0L; const size_t __log2r = std::log(__r) / std::log(2.0L); const size_t __m = std::max<size_t>(1UL, (__b + __log2r - 1UL) / __log2r); _RealType __ret; _RealType __sum = _RealType(0); _RealType __tmp = _RealType(1); for (size_t __k = __m; __k != 0; --__k) { __sum += _RealType(__urng() - __urng.min()) * __tmp; __tmp *= __r; } __ret = __sum / __tmp; if (__builtin_expect(__ret >= _RealType(1), 0)) { #if _GLIBCXX_USE_C99_MATH_TR1 __ret = std::nextafter(_RealType(1), _RealType(0)); #else __ret = _RealType(1) - std::numeric_limits<_RealType>::epsilon() / _RealType(2); #endif } return __ret; } _GLIBCXX_END_NAMESPACE_VERSION } // namespace #endif Back

Edit File : random.tcc | Size : 103.12 KB

// random number generation (out of line) -*- C++ -*-

// Copyright (C) 2009-2018 Free Software Foundation, Inc.
//
// This file is part of the GNU ISO C++ Library.  This library is free
// software; you can redistribute it and/or modify it under the
// terms of the GNU General Public License as published by the
// Free Software Foundation; either version 3, or (at your option)
// any later version.

// This library is distributed in the hope that it will be useful,
// but WITHOUT ANY WARRANTY; without even the implied warranty of
// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
// GNU General Public License for more details.

// Under Section 7 of GPL version 3, you are granted additional
// permissions described in the GCC Runtime Library Exception, version
// 3.1, as published by the Free Software Foundation.

// You should have received a copy of the GNU General Public License and
// a copy of the GCC Runtime Library Exception along with this program;
// see the files COPYING3 and COPYING.RUNTIME respectively.  If not, see
// <http://www.gnu.org/licenses/>.

/** @file bits/random.tcc
 *  This is an internal header file, included by other library headers.
 *  Do not attempt to use it directly. @headername{random}
 */

#ifndef _RANDOM_TCC
#define _RANDOM_TCC 1

#include <numeric> // std::accumulate and std::partial_sum

namespace std _GLIBCXX_VISIBILITY(default)
{
_GLIBCXX_BEGIN_NAMESPACE_VERSION

/*
   * (Further) implementation-space details.
   */
  namespace __detail
  {
    // General case for x = (ax + c) mod m -- use Schrage's algorithm
    // to avoid integer overflow.
    //
    // Preconditions:  a > 0, m > 0.
    //
    // Note: only works correctly for __m % __a < __m / __a.
    template<typename _Tp, _Tp __m, _Tp __a, _Tp __c>
      _Tp
      _Mod<_Tp, __m, __a, __c, false, true>::
      __calc(_Tp __x)
      {
	if (__a == 1)
	  __x %= __m;
	else
	  {
	    static const _Tp __q = __m / __a;
	    static const _Tp __r = __m % __a;

_Tp __t1 = __a * (__x % __q);
	    _Tp __t2 = __r * (__x / __q);
	    if (__t1 >= __t2)
	      __x = __t1 - __t2;
	    else
	      __x = __m - __t2 + __t1;
	  }

if (__c != 0)
	  {
	    const _Tp __d = __m - __x;
	    if (__d > __c)
	      __x += __c;
	    else
	      __x = __c - __d;
	  }
	return __x;
      }

template<typename _InputIterator, typename _OutputIterator,
	     typename _Tp>
      _OutputIterator
      __normalize(_InputIterator __first, _InputIterator __last,
		  _OutputIterator __result, const _Tp& __factor)
      {
	for (; __first != __last; ++__first, ++__result)
	  *__result = *__first / __factor;
	return __result;
      }

} // namespace __detail

template<typename _UIntType, _UIntType __a, _UIntType __c, _UIntType __m>
    constexpr _UIntType
    linear_congruential_engine<_UIntType, __a, __c, __m>::multiplier;

template<typename _UIntType, _UIntType __a, _UIntType __c, _UIntType __m>
    constexpr _UIntType
    linear_congruential_engine<_UIntType, __a, __c, __m>::increment;

template<typename _UIntType, _UIntType __a, _UIntType __c, _UIntType __m>
    constexpr _UIntType
    linear_congruential_engine<_UIntType, __a, __c, __m>::modulus;

template<typename _UIntType, _UIntType __a, _UIntType __c, _UIntType __m>
    constexpr _UIntType
    linear_congruential_engine<_UIntType, __a, __c, __m>::default_seed;

/**
   * Seeds the LCR with integral value @p __s, adjusted so that the
   * ring identity is never a member of the convergence set.
   */
  template<typename _UIntType, _UIntType __a, _UIntType __c, _UIntType __m>
    void
    linear_congruential_engine<_UIntType, __a, __c, __m>::
    seed(result_type __s)
    {
      if ((__detail::__mod<_UIntType, __m>(__c) == 0)
	  && (__detail::__mod<_UIntType, __m>(__s) == 0))
	_M_x = 1;
      else
	_M_x = __detail::__mod<_UIntType, __m>(__s);
    }

/**
   * Seeds the LCR engine with a value generated by @p __q.
   */
  template<typename _UIntType, _UIntType __a, _UIntType __c, _UIntType __m>
    template<typename _Sseq>
      typename std::enable_if<std::is_class<_Sseq>::value>::type
      linear_congruential_engine<_UIntType, __a, __c, __m>::
      seed(_Sseq& __q)
      {
	const _UIntType __k0 = __m == 0 ? std::numeric_limits<_UIntType>::digits
	                                : std::__lg(__m);
	const _UIntType __k = (__k0 + 31) / 32;
	uint_least32_t __arr[__k + 3];
	__q.generate(__arr + 0, __arr + __k + 3);
	_UIntType __factor = 1u;
	_UIntType __sum = 0u;
	for (size_t __j = 0; __j < __k; ++__j)
	  {
	    __sum += __arr[__j + 3] * __factor;
	    __factor *= __detail::_Shift<_UIntType, 32>::__value;
	  }
	seed(__sum);
      }

template<typename _UIntType, _UIntType __a, _UIntType __c, _UIntType __m,
	   typename _CharT, typename _Traits>
    std::basic_ostream<_CharT, _Traits>&
    operator<<(std::basic_ostream<_CharT, _Traits>& __os,
	       const linear_congruential_engine<_UIntType,
						__a, __c, __m>& __lcr)
    {
      typedef std::basic_ostream<_CharT, _Traits>  __ostream_type;
      typedef typename __ostream_type::ios_base    __ios_base;

const typename __ios_base::fmtflags __flags = __os.flags();
      const _CharT __fill = __os.fill();
      __os.flags(__ios_base::dec | __ios_base::fixed | __ios_base::left);
      __os.fill(__os.widen(' '));

__os << __lcr._M_x;

__os.flags(__flags);
      __os.fill(__fill);
      return __os;
    }

template<typename _UIntType, _UIntType __a, _UIntType __c, _UIntType __m,
	   typename _CharT, typename _Traits>
    std::basic_istream<_CharT, _Traits>&
    operator>>(std::basic_istream<_CharT, _Traits>& __is,
	       linear_congruential_engine<_UIntType, __a, __c, __m>& __lcr)
    {
      typedef std::basic_istream<_CharT, _Traits>  __istream_type;
      typedef typename __istream_type::ios_base    __ios_base;

const typename __ios_base::fmtflags __flags = __is.flags();
      __is.flags(__ios_base::dec);

__is >> __lcr._M_x;

__is.flags(__flags);
      return __is;
    }

template<typename _UIntType,
	   size_t __w, size_t __n, size_t __m, size_t __r,
	   _UIntType __a, size_t __u, _UIntType __d, size_t __s,
	   _UIntType __b, size_t __t, _UIntType __c, size_t __l,
	   _UIntType __f>
    constexpr size_t
    mersenne_twister_engine<_UIntType, __w, __n, __m, __r, __a, __u, __d,
			    __s, __b, __t, __c, __l, __f>::tempering_u;
   
  template<typename _UIntType,
	   size_t __w, size_t __n, size_t __m, size_t __r,
	   _UIntType __a, size_t __u, _UIntType __d, size_t __s,
	   _UIntType __b, size_t __t, _UIntType __c, size_t __l,
	   _UIntType __f>
    constexpr _UIntType
    mersenne_twister_engine<_UIntType, __w, __n, __m, __r, __a, __u, __d,
			    __s, __b, __t, __c, __l, __f>::tempering_d;

for (size_t __i = 1; __i < state_size; ++__i)
	{
	  _UIntType __x = _M_x[__i - 1];
	  __x ^= __x >> (__w - 2);
	  __x *= __f;
	  __x += __detail::__mod<_UIntType, __n>(__i);
	  _M_x[__i] = __detail::__mod<_UIntType,
	    __detail::_Shift<_UIntType, __w>::__value>(__x);
	}
      _M_p = state_size;
    }

template<typename _UIntType,
	   size_t __w, size_t __n, size_t __m, size_t __r,
	   _UIntType __a, size_t __u, _UIntType __d, size_t __s,
	   _UIntType __b, size_t __t, _UIntType __c, size_t __l,
	   _UIntType __f>
    template<typename _Sseq>
      typename std::enable_if<std::is_class<_Sseq>::value>::type
      mersenne_twister_engine<_UIntType, __w, __n, __m, __r, __a, __u, __d,
			      __s, __b, __t, __c, __l, __f>::
      seed(_Sseq& __q)
      {
	const _UIntType __upper_mask = (~_UIntType()) << __r;
	const size_t __k = (__w + 31) / 32;
	uint_least32_t __arr[__n * __k];
	__q.generate(__arr + 0, __arr + __n * __k);

bool __zero = true;
	for (size_t __i = 0; __i < state_size; ++__i)
	  {
	    _UIntType __factor = 1u;
	    _UIntType __sum = 0u;
	    for (size_t __j = 0; __j < __k; ++__j)
	      {
		__sum += __arr[__k * __i + __j] * __factor;
		__factor *= __detail::_Shift<_UIntType, 32>::__value;
	      }
	    _M_x[__i] = __detail::__mod<_UIntType,
	      __detail::_Shift<_UIntType, __w>::__value>(__sum);

if (__zero)
	      {
		if (__i == 0)
		  {
		    if ((_M_x[0] & __upper_mask) != 0u)
		      __zero = false;
		  }
		else if (_M_x[__i] != 0u)
		  __zero = false;
	      }
	  }
        if (__zero)
          _M_x[0] = __detail::_Shift<_UIntType, __w - 1>::__value;
	_M_p = state_size;
      }

for (size_t __k = 0; __k < (__n - __m); ++__k)
        {
	  _UIntType __y = ((_M_x[__k] & __upper_mask)
			   | (_M_x[__k + 1] & __lower_mask));
	  _M_x[__k] = (_M_x[__k + __m] ^ (__y >> 1)
		       ^ ((__y & 0x01) ? __a : 0));
        }

for (size_t __k = (__n - __m); __k < (__n - 1); ++__k)
	{
	  _UIntType __y = ((_M_x[__k] & __upper_mask)
			   | (_M_x[__k + 1] & __lower_mask));
	  _M_x[__k] = (_M_x[__k + (__m - __n)] ^ (__y >> 1)
		       ^ ((__y & 0x01) ? __a : 0));
	}

_UIntType __y = ((_M_x[__n - 1] & __upper_mask)
		       | (_M_x[0] & __lower_mask));
      _M_x[__n - 1] = (_M_x[__m - 1] ^ (__y >> 1)
		       ^ ((__y & 0x01) ? __a : 0));
      _M_p = 0;
    }

template<typename _UIntType, size_t __w,
	   size_t __n, size_t __m, size_t __r,
	   _UIntType __a, size_t __u, _UIntType __d, size_t __s,
	   _UIntType __b, size_t __t, _UIntType __c, size_t __l,
	   _UIntType __f>
    typename
    mersenne_twister_engine<_UIntType, __w, __n, __m, __r, __a, __u, __d,
			    __s, __b, __t, __c, __l, __f>::result_type
    mersenne_twister_engine<_UIntType, __w, __n, __m, __r, __a, __u, __d,
			    __s, __b, __t, __c, __l, __f>::
    operator()()
    {
      // Reload the vector - cost is O(n) amortized over n calls.
      if (_M_p >= state_size)
	_M_gen_rand();

// Calculate o(x(i)).
      result_type __z = _M_x[_M_p++];
      __z ^= (__z >> __u) & __d;
      __z ^= (__z << __s) & __b;
      __z ^= (__z << __t) & __c;
      __z ^= (__z >> __l);

return __z;
    }

template<typename _UIntType, size_t __w,
	   size_t __n, size_t __m, size_t __r,
	   _UIntType __a, size_t __u, _UIntType __d, size_t __s,
	   _UIntType __b, size_t __t, _UIntType __c, size_t __l,
	   _UIntType __f, typename _CharT, typename _Traits>
    std::basic_ostream<_CharT, _Traits>&
    operator<<(std::basic_ostream<_CharT, _Traits>& __os,
	       const mersenne_twister_engine<_UIntType, __w, __n, __m,
	       __r, __a, __u, __d, __s, __b, __t, __c, __l, __f>& __x)
    {
      typedef std::basic_ostream<_CharT, _Traits>  __ostream_type;
      typedef typename __ostream_type::ios_base    __ios_base;

const typename __ios_base::fmtflags __flags = __os.flags();
      const _CharT __fill = __os.fill();
      const _CharT __space = __os.widen(' ');
      __os.flags(__ios_base::dec | __ios_base::fixed | __ios_base::left);
      __os.fill(__space);

for (size_t __i = 0; __i < __n; ++__i)
	__os << __x._M_x[__i] << __space;
      __os << __x._M_p;

__os.flags(__flags);
      __os.fill(__fill);
      return __os;
    }

template<typename _UIntType, size_t __w,
	   size_t __n, size_t __m, size_t __r,
	   _UIntType __a, size_t __u, _UIntType __d, size_t __s,
	   _UIntType __b, size_t __t, _UIntType __c, size_t __l,
	   _UIntType __f, typename _CharT, typename _Traits>
    std::basic_istream<_CharT, _Traits>&
    operator>>(std::basic_istream<_CharT, _Traits>& __is,
	       mersenne_twister_engine<_UIntType, __w, __n, __m,
	       __r, __a, __u, __d, __s, __b, __t, __c, __l, __f>& __x)
    {
      typedef std::basic_istream<_CharT, _Traits>  __istream_type;
      typedef typename __istream_type::ios_base    __ios_base;

const typename __ios_base::fmtflags __flags = __is.flags();
      __is.flags(__ios_base::dec | __ios_base::skipws);

for (size_t __i = 0; __i < __n; ++__i)
	__is >> __x._M_x[__i];
      __is >> __x._M_p;

__is.flags(__flags);
      return __is;
    }

template<typename _UIntType, size_t __w, size_t __s, size_t __r>
    constexpr size_t
    subtract_with_carry_engine<_UIntType, __w, __s, __r>::word_size;

template<typename _UIntType, size_t __w, size_t __s, size_t __r>
    constexpr size_t
    subtract_with_carry_engine<_UIntType, __w, __s, __r>::short_lag;

template<typename _UIntType, size_t __w, size_t __s, size_t __r>
    constexpr size_t
    subtract_with_carry_engine<_UIntType, __w, __s, __r>::long_lag;

template<typename _UIntType, size_t __w, size_t __s, size_t __r>
    constexpr _UIntType
    subtract_with_carry_engine<_UIntType, __w, __s, __r>::default_seed;

template<typename _UIntType, size_t __w, size_t __s, size_t __r>
    void
    subtract_with_carry_engine<_UIntType, __w, __s, __r>::
    seed(result_type __value)
    {
      std::linear_congruential_engine<result_type, 40014u, 0u, 2147483563u>
	__lcg(__value == 0u ? default_seed : __value);

const size_t __n = (__w + 31) / 32;

for (size_t __i = 0; __i < long_lag; ++__i)
	{
	  _UIntType __sum = 0u;
	  _UIntType __factor = 1u;
	  for (size_t __j = 0; __j < __n; ++__j)
	    {
	      __sum += __detail::__mod<uint_least32_t,
		       __detail::_Shift<uint_least32_t, 32>::__value>
			 (__lcg()) * __factor;
	      __factor *= __detail::_Shift<_UIntType, 32>::__value;
	    }
	  _M_x[__i] = __detail::__mod<_UIntType,
	    __detail::_Shift<_UIntType, __w>::__value>(__sum);
	}
      _M_carry = (_M_x[long_lag - 1] == 0) ? 1 : 0;
      _M_p = 0;
    }

template<typename _UIntType, size_t __w, size_t __s, size_t __r>
    template<typename _Sseq>
      typename std::enable_if<std::is_class<_Sseq>::value>::type
      subtract_with_carry_engine<_UIntType, __w, __s, __r>::
      seed(_Sseq& __q)
      {
	const size_t __k = (__w + 31) / 32;
	uint_least32_t __arr[__r * __k];
	__q.generate(__arr + 0, __arr + __r * __k);

for (size_t __i = 0; __i < long_lag; ++__i)
	  {
	    _UIntType __sum = 0u;
	    _UIntType __factor = 1u;
	    for (size_t __j = 0; __j < __k; ++__j)
	      {
		__sum += __arr[__k * __i + __j] * __factor;
		__factor *= __detail::_Shift<_UIntType, 32>::__value;
	      }
	    _M_x[__i] = __detail::__mod<_UIntType,
	      __detail::_Shift<_UIntType, __w>::__value>(__sum);
	  }
	_M_carry = (_M_x[long_lag - 1] == 0) ? 1 : 0;
	_M_p = 0;
      }

template<typename _UIntType, size_t __w, size_t __s, size_t __r>
    typename subtract_with_carry_engine<_UIntType, __w, __s, __r>::
	     result_type
    subtract_with_carry_engine<_UIntType, __w, __s, __r>::
    operator()()
    {
      // Derive short lag index from current index.
      long __ps = _M_p - short_lag;
      if (__ps < 0)
	__ps += long_lag;

// Calculate new x(i) without overflow or division.
      // NB: Thanks to the requirements for _UIntType, _M_x[_M_p] + _M_carry
      // cannot overflow.
      _UIntType __xi;
      if (_M_x[__ps] >= _M_x[_M_p] + _M_carry)
	{
	  __xi = _M_x[__ps] - _M_x[_M_p] - _M_carry;
	  _M_carry = 0;
	}
      else
	{
	  __xi = (__detail::_Shift<_UIntType, __w>::__value
		  - _M_x[_M_p] - _M_carry + _M_x[__ps]);
	  _M_carry = 1;
	}
      _M_x[_M_p] = __xi;

// Adjust current index to loop around in ring buffer.
      if (++_M_p >= long_lag)
	_M_p = 0;

return __xi;
    }

template<typename _UIntType, size_t __w, size_t __s, size_t __r,
	   typename _CharT, typename _Traits>
    std::basic_ostream<_CharT, _Traits>&
    operator<<(std::basic_ostream<_CharT, _Traits>& __os,
	       const subtract_with_carry_engine<_UIntType,
						__w, __s, __r>& __x)
    {
      typedef std::basic_ostream<_CharT, _Traits>  __ostream_type;
      typedef typename __ostream_type::ios_base    __ios_base;

for (size_t __i = 0; __i < __r; ++__i)
	__os << __x._M_x[__i] << __space;
      __os << __x._M_carry << __space << __x._M_p;

__os.flags(__flags);
      __os.fill(__fill);
      return __os;
    }

template<typename _UIntType, size_t __w, size_t __s, size_t __r,
	   typename _CharT, typename _Traits>
    std::basic_istream<_CharT, _Traits>&
    operator>>(std::basic_istream<_CharT, _Traits>& __is,
	       subtract_with_carry_engine<_UIntType, __w, __s, __r>& __x)
    {
      typedef std::basic_ostream<_CharT, _Traits>  __istream_type;
      typedef typename __istream_type::ios_base    __ios_base;

const typename __ios_base::fmtflags __flags = __is.flags();
      __is.flags(__ios_base::dec | __ios_base::skipws);

for (size_t __i = 0; __i < __r; ++__i)
	__is >> __x._M_x[__i];
      __is >> __x._M_carry;
      __is >> __x._M_p;

__is.flags(__flags);
      return __is;
    }

template<typename _RandomNumberEngine, size_t __p, size_t __r>
    constexpr size_t
    discard_block_engine<_RandomNumberEngine, __p, __r>::block_size;

template<typename _RandomNumberEngine, size_t __p, size_t __r>
    constexpr size_t
    discard_block_engine<_RandomNumberEngine, __p, __r>::used_block;

template<typename _RandomNumberEngine, size_t __p, size_t __r>
    typename discard_block_engine<_RandomNumberEngine,
			   __p, __r>::result_type
    discard_block_engine<_RandomNumberEngine, __p, __r>::
    operator()()
    {
      if (_M_n >= used_block)
	{
	  _M_b.discard(block_size - _M_n);
	  _M_n = 0;
	}
      ++_M_n;
      return _M_b();
    }

template<typename _RandomNumberEngine, size_t __p, size_t __r,
	   typename _CharT, typename _Traits>
    std::basic_ostream<_CharT, _Traits>&
    operator<<(std::basic_ostream<_CharT, _Traits>& __os,
	       const discard_block_engine<_RandomNumberEngine,
	       __p, __r>& __x)
    {
      typedef std::basic_ostream<_CharT, _Traits>  __ostream_type;
      typedef typename __ostream_type::ios_base    __ios_base;

__os << __x.base() << __space << __x._M_n;

__os.flags(__flags);
      __os.fill(__fill);
      return __os;
    }

template<typename _RandomNumberEngine, size_t __p, size_t __r,
	   typename _CharT, typename _Traits>
    std::basic_istream<_CharT, _Traits>&
    operator>>(std::basic_istream<_CharT, _Traits>& __is,
	       discard_block_engine<_RandomNumberEngine, __p, __r>& __x)
    {
      typedef std::basic_istream<_CharT, _Traits>  __istream_type;
      typedef typename __istream_type::ios_base    __ios_base;

const typename __ios_base::fmtflags __flags = __is.flags();
      __is.flags(__ios_base::dec | __ios_base::skipws);

__is >> __x._M_b >> __x._M_n;

__is.flags(__flags);
      return __is;
    }

template<typename _RandomNumberEngine, size_t __w, typename _UIntType>
    typename independent_bits_engine<_RandomNumberEngine, __w, _UIntType>::
      result_type
    independent_bits_engine<_RandomNumberEngine, __w, _UIntType>::
    operator()()
    {
      typedef typename _RandomNumberEngine::result_type _Eresult_type;
      const _Eresult_type __r
	= (_M_b.max() - _M_b.min() < std::numeric_limits<_Eresult_type>::max()
	   ? _M_b.max() - _M_b.min() + 1 : 0);
      const unsigned __edig = std::numeric_limits<_Eresult_type>::digits;
      const unsigned __m = __r ? std::__lg(__r) : __edig;

typedef typename std::common_type<_Eresult_type, result_type>::type
	__ctype;
      const unsigned __cdig = std::numeric_limits<__ctype>::digits;

unsigned __n, __n0;
      __ctype __s0, __s1, __y0, __y1;

for (size_t __i = 0; __i < 2; ++__i)
	{
	  __n = (__w + __m - 1) / __m + __i;
	  __n0 = __n - __w % __n;
	  const unsigned __w0 = __w / __n;  // __w0 <= __m

__s0 = 0;
	  __s1 = 0;
	  if (__w0 < __cdig)
	    {
	      __s0 = __ctype(1) << __w0;
	      __s1 = __s0 << 1;
	    }

__y0 = 0;
	  __y1 = 0;
	  if (__r)
	    {
	      __y0 = __s0 * (__r / __s0);
	      if (__s1)
		__y1 = __s1 * (__r / __s1);

if (__r - __y0 <= __y0 / __n)
		break;
	    }
	  else
	    break;
	}

result_type __sum = 0;
      for (size_t __k = 0; __k < __n0; ++__k)
	{
	  __ctype __u;
	  do
	    __u = _M_b() - _M_b.min();
	  while (__y0 && __u >= __y0);
	  __sum = __s0 * __sum + (__s0 ? __u % __s0 : __u);
	}
      for (size_t __k = __n0; __k < __n; ++__k)
	{
	  __ctype __u;
	  do
	    __u = _M_b() - _M_b.min();
	  while (__y1 && __u >= __y1);
	  __sum = __s1 * __sum + (__s1 ? __u % __s1 : __u);
	}
      return __sum;
    }

template<typename _RandomNumberEngine, size_t __k>
    constexpr size_t
    shuffle_order_engine<_RandomNumberEngine, __k>::table_size;

template<typename _RandomNumberEngine, size_t __k>
    typename shuffle_order_engine<_RandomNumberEngine, __k>::result_type
    shuffle_order_engine<_RandomNumberEngine, __k>::
    operator()()
    {
      size_t __j = __k * ((_M_y - _M_b.min())
			  / (_M_b.max() - _M_b.min() + 1.0L));
      _M_y = _M_v[__j];
      _M_v[__j] = _M_b();

return _M_y;
    }

template<typename _RandomNumberEngine, size_t __k,
	   typename _CharT, typename _Traits>
    std::basic_ostream<_CharT, _Traits>&
    operator<<(std::basic_ostream<_CharT, _Traits>& __os,
	       const shuffle_order_engine<_RandomNumberEngine, __k>& __x)
    {
      typedef std::basic_ostream<_CharT, _Traits>  __ostream_type;
      typedef typename __ostream_type::ios_base    __ios_base;

__os << __x.base();
      for (size_t __i = 0; __i < __k; ++__i)
	__os << __space << __x._M_v[__i];
      __os << __space << __x._M_y;

__os.flags(__flags);
      __os.fill(__fill);
      return __os;
    }

template<typename _RandomNumberEngine, size_t __k,
	   typename _CharT, typename _Traits>
    std::basic_istream<_CharT, _Traits>&
    operator>>(std::basic_istream<_CharT, _Traits>& __is,
	       shuffle_order_engine<_RandomNumberEngine, __k>& __x)
    {
      typedef std::basic_istream<_CharT, _Traits>  __istream_type;
      typedef typename __istream_type::ios_base    __ios_base;

const typename __ios_base::fmtflags __flags = __is.flags();
      __is.flags(__ios_base::dec | __ios_base::skipws);

__is >> __x._M_b;
      for (size_t __i = 0; __i < __k; ++__i)
	__is >> __x._M_v[__i];
      __is >> __x._M_y;

__is.flags(__flags);
      return __is;
    }

template<typename _IntType, typename _CharT, typename _Traits>
    std::basic_ostream<_CharT, _Traits>&
    operator<<(std::basic_ostream<_CharT, _Traits>& __os,
	       const uniform_int_distribution<_IntType>& __x)
    {
      typedef std::basic_ostream<_CharT, _Traits>  __ostream_type;
      typedef typename __ostream_type::ios_base    __ios_base;

const typename __ios_base::fmtflags __flags = __os.flags();
      const _CharT __fill = __os.fill();
      const _CharT __space = __os.widen(' ');
      __os.flags(__ios_base::scientific | __ios_base::left);
      __os.fill(__space);

__os << __x.a() << __space << __x.b();

__os.flags(__flags);
      __os.fill(__fill);
      return __os;
    }

template<typename _IntType, typename _CharT, typename _Traits>
    std::basic_istream<_CharT, _Traits>&
    operator>>(std::basic_istream<_CharT, _Traits>& __is,
	       uniform_int_distribution<_IntType>& __x)
    {
      typedef std::basic_istream<_CharT, _Traits>  __istream_type;
      typedef typename __istream_type::ios_base    __ios_base;

const typename __ios_base::fmtflags __flags = __is.flags();
      __is.flags(__ios_base::dec | __ios_base::skipws);

_IntType __a, __b;
      if (__is >> __a >> __b)
	__x.param(typename uniform_int_distribution<_IntType>::
		  param_type(__a, __b));

__is.flags(__flags);
      return __is;
    }

template<typename _RealType>
    template<typename _ForwardIterator,
	     typename _UniformRandomNumberGenerator>
      void
      uniform_real_distribution<_RealType>::
      __generate_impl(_ForwardIterator __f, _ForwardIterator __t,
		      _UniformRandomNumberGenerator& __urng,
		      const param_type& __p)
      {
	__glibcxx_function_requires(_ForwardIteratorConcept<_ForwardIterator>)
	__detail::_Adaptor<_UniformRandomNumberGenerator, result_type>
	  __aurng(__urng);
	auto __range = __p.b() - __p.a();
	while (__f != __t)
	  *__f++ = __aurng() * __range + __p.a();
      }

template<typename _RealType, typename _CharT, typename _Traits>
    std::basic_ostream<_CharT, _Traits>&
    operator<<(std::basic_ostream<_CharT, _Traits>& __os,
	       const uniform_real_distribution<_RealType>& __x)
    {
      typedef std::basic_ostream<_CharT, _Traits>  __ostream_type;
      typedef typename __ostream_type::ios_base    __ios_base;

const typename __ios_base::fmtflags __flags = __os.flags();
      const _CharT __fill = __os.fill();
      const std::streamsize __precision = __os.precision();
      const _CharT __space = __os.widen(' ');
      __os.flags(__ios_base::scientific | __ios_base::left);
      __os.fill(__space);
      __os.precision(std::numeric_limits<_RealType>::max_digits10);

__os << __x.a() << __space << __x.b();

__os.flags(__flags);
      __os.fill(__fill);
      __os.precision(__precision);
      return __os;
    }

template<typename _RealType, typename _CharT, typename _Traits>
    std::basic_istream<_CharT, _Traits>&
    operator>>(std::basic_istream<_CharT, _Traits>& __is,
	       uniform_real_distribution<_RealType>& __x)
    {
      typedef std::basic_istream<_CharT, _Traits>  __istream_type;
      typedef typename __istream_type::ios_base    __ios_base;

const typename __ios_base::fmtflags __flags = __is.flags();
      __is.flags(__ios_base::skipws);

_RealType __a, __b;
      if (__is >> __a >> __b)
	__x.param(typename uniform_real_distribution<_RealType>::
		  param_type(__a, __b));

__is.flags(__flags);
      return __is;
    }

template<typename _ForwardIterator,
	   typename _UniformRandomNumberGenerator>
    void
    std::bernoulli_distribution::
    __generate_impl(_ForwardIterator __f, _ForwardIterator __t,
		    _UniformRandomNumberGenerator& __urng,
		    const param_type& __p)
    {
      __glibcxx_function_requires(_ForwardIteratorConcept<_ForwardIterator>)
      __detail::_Adaptor<_UniformRandomNumberGenerator, double>
	__aurng(__urng);
      auto __limit = __p.p() * (__aurng.max() - __aurng.min());

while (__f != __t)
	*__f++ = (__aurng() - __aurng.min()) < __limit;
    }

template<typename _CharT, typename _Traits>
    std::basic_ostream<_CharT, _Traits>&
    operator<<(std::basic_ostream<_CharT, _Traits>& __os,
	       const bernoulli_distribution& __x)
    {
      typedef std::basic_ostream<_CharT, _Traits>  __ostream_type;
      typedef typename __ostream_type::ios_base    __ios_base;

const typename __ios_base::fmtflags __flags = __os.flags();
      const _CharT __fill = __os.fill();
      const std::streamsize __precision = __os.precision();
      __os.flags(__ios_base::scientific | __ios_base::left);
      __os.fill(__os.widen(' '));
      __os.precision(std::numeric_limits<double>::max_digits10);

__os << __x.p();

__os.flags(__flags);
      __os.fill(__fill);
      __os.precision(__precision);
      return __os;
    }

template<typename _IntType>
    template<typename _UniformRandomNumberGenerator>
      typename geometric_distribution<_IntType>::result_type
      geometric_distribution<_IntType>::
      operator()(_UniformRandomNumberGenerator& __urng,
		 const param_type& __param)
      {
	// About the epsilon thing see this thread:
	// http://gcc.gnu.org/ml/gcc-patches/2006-10/msg00971.html
	const double __naf =
	  (1 - std::numeric_limits<double>::epsilon()) / 2;
	// The largest _RealType convertible to _IntType.
	const double __thr =
	  std::numeric_limits<_IntType>::max() + __naf;
	__detail::_Adaptor<_UniformRandomNumberGenerator, double>
	  __aurng(__urng);

double __cand;
	do
	  __cand = std::floor(std::log(1.0 - __aurng()) / __param._M_log_1_p);
	while (__cand >= __thr);

return result_type(__cand + __naf);
      }

template<typename _IntType>
    template<typename _ForwardIterator,
	     typename _UniformRandomNumberGenerator>
      void
      geometric_distribution<_IntType>::
      __generate_impl(_ForwardIterator __f, _ForwardIterator __t,
		      _UniformRandomNumberGenerator& __urng,
		      const param_type& __param)
      {
	__glibcxx_function_requires(_ForwardIteratorConcept<_ForwardIterator>)
	// About the epsilon thing see this thread:
	// http://gcc.gnu.org/ml/gcc-patches/2006-10/msg00971.html
	const double __naf =
	  (1 - std::numeric_limits<double>::epsilon()) / 2;
	// The largest _RealType convertible to _IntType.
	const double __thr =
	  std::numeric_limits<_IntType>::max() + __naf;
	__detail::_Adaptor<_UniformRandomNumberGenerator, double>
	  __aurng(__urng);

while (__f != __t)
	  {
	    double __cand;
	    do
	      __cand = std::floor(std::log(1.0 - __aurng())
				  / __param._M_log_1_p);
	    while (__cand >= __thr);

*__f++ = __cand + __naf;
	  }
      }

template<typename _IntType,
	   typename _CharT, typename _Traits>
    std::basic_ostream<_CharT, _Traits>&
    operator<<(std::basic_ostream<_CharT, _Traits>& __os,
	       const geometric_distribution<_IntType>& __x)
    {
      typedef std::basic_ostream<_CharT, _Traits>  __ostream_type;
      typedef typename __ostream_type::ios_base    __ios_base;

__os << __x.p();

__os.flags(__flags);
      __os.fill(__fill);
      __os.precision(__precision);
      return __os;
    }

template<typename _IntType,
	   typename _CharT, typename _Traits>
    std::basic_istream<_CharT, _Traits>&
    operator>>(std::basic_istream<_CharT, _Traits>& __is,
	       geometric_distribution<_IntType>& __x)
    {
      typedef std::basic_istream<_CharT, _Traits>  __istream_type;
      typedef typename __istream_type::ios_base    __ios_base;

const typename __ios_base::fmtflags __flags = __is.flags();
      __is.flags(__ios_base::skipws);

double __p;
      if (__is >> __p)
	__x.param(typename geometric_distribution<_IntType>::param_type(__p));

__is.flags(__flags);
      return __is;
    }

// This is Leger's algorithm, also in Devroye, Ch. X, Example 1.5.
  template<typename _IntType>
    template<typename _UniformRandomNumberGenerator>
      typename negative_binomial_distribution<_IntType>::result_type
      negative_binomial_distribution<_IntType>::
      operator()(_UniformRandomNumberGenerator& __urng)
      {
	const double __y = _M_gd(__urng);

// XXX Is the constructor too slow?
	std::poisson_distribution<result_type> __poisson(__y);
	return __poisson(__urng);
      }

template<typename _IntType>
    template<typename _UniformRandomNumberGenerator>
      typename negative_binomial_distribution<_IntType>::result_type
      negative_binomial_distribution<_IntType>::
      operator()(_UniformRandomNumberGenerator& __urng,
		 const param_type& __p)
      {
	typedef typename std::gamma_distribution<double>::param_type
	  param_type;
	
	const double __y =
	  _M_gd(__urng, param_type(__p.k(), (1.0 - __p.p()) / __p.p()));

std::poisson_distribution<result_type> __poisson(__y);
	return __poisson(__urng);
      }

template<typename _IntType>
    template<typename _ForwardIterator,
	     typename _UniformRandomNumberGenerator>
      void
      negative_binomial_distribution<_IntType>::
      __generate_impl(_ForwardIterator __f, _ForwardIterator __t,
		      _UniformRandomNumberGenerator& __urng)
      {
	__glibcxx_function_requires(_ForwardIteratorConcept<_ForwardIterator>)
	while (__f != __t)
	  {
	    const double __y = _M_gd(__urng);

// XXX Is the constructor too slow?
	    std::poisson_distribution<result_type> __poisson(__y);
	    *__f++ = __poisson(__urng);
	  }
      }

template<typename _IntType>
    template<typename _ForwardIterator,
	     typename _UniformRandomNumberGenerator>
      void
      negative_binomial_distribution<_IntType>::
      __generate_impl(_ForwardIterator __f, _ForwardIterator __t,
		      _UniformRandomNumberGenerator& __urng,
		      const param_type& __p)
      {
	__glibcxx_function_requires(_ForwardIteratorConcept<_ForwardIterator>)
	typename std::gamma_distribution<result_type>::param_type
	  __p2(__p.k(), (1.0 - __p.p()) / __p.p());

while (__f != __t)
	  {
	    const double __y = _M_gd(__urng, __p2);

std::poisson_distribution<result_type> __poisson(__y);
	    *__f++ = __poisson(__urng);
	  }
      }

template<typename _IntType, typename _CharT, typename _Traits>
    std::basic_ostream<_CharT, _Traits>&
    operator<<(std::basic_ostream<_CharT, _Traits>& __os,
	       const negative_binomial_distribution<_IntType>& __x)
    {
      typedef std::basic_ostream<_CharT, _Traits>  __ostream_type;
      typedef typename __ostream_type::ios_base    __ios_base;

const typename __ios_base::fmtflags __flags = __os.flags();
      const _CharT __fill = __os.fill();
      const std::streamsize __precision = __os.precision();
      const _CharT __space = __os.widen(' ');
      __os.flags(__ios_base::scientific | __ios_base::left);
      __os.fill(__os.widen(' '));
      __os.precision(std::numeric_limits<double>::max_digits10);

__os << __x.k() << __space << __x.p()
	   << __space << __x._M_gd;

__os.flags(__flags);
      __os.fill(__fill);
      __os.precision(__precision);
      return __os;
    }

template<typename _IntType, typename _CharT, typename _Traits>
    std::basic_istream<_CharT, _Traits>&
    operator>>(std::basic_istream<_CharT, _Traits>& __is,
	       negative_binomial_distribution<_IntType>& __x)
    {
      typedef std::basic_istream<_CharT, _Traits>  __istream_type;
      typedef typename __istream_type::ios_base    __ios_base;

const typename __ios_base::fmtflags __flags = __is.flags();
      __is.flags(__ios_base::skipws);

_IntType __k;
      double __p;
      if (__is >> __k >> __p >> __x._M_gd)
	__x.param(typename negative_binomial_distribution<_IntType>::
		  param_type(__k, __p));

__is.flags(__flags);
      return __is;
    }

template<typename _IntType>
    void
    poisson_distribution<_IntType>::param_type::
    _M_initialize()
    {
#if _GLIBCXX_USE_C99_MATH_TR1
      if (_M_mean >= 12)
	{
	  const double __m = std::floor(_M_mean);
	  _M_lm_thr = std::log(_M_mean);
	  _M_lfm = std::lgamma(__m + 1);
	  _M_sm = std::sqrt(__m);

const double __pi_4 = 0.7853981633974483096156608458198757L;
	  const double __dx = std::sqrt(2 * __m * std::log(32 * __m
							      / __pi_4));
	  _M_d = std::round(std::max<double>(6.0, std::min(__m, __dx)));
	  const double __cx = 2 * __m + _M_d;
	  _M_scx = std::sqrt(__cx / 2);
	  _M_1cx = 1 / __cx;

_M_c2b = std::sqrt(__pi_4 * __cx) * std::exp(_M_1cx);
	  _M_cb = 2 * __cx * std::exp(-_M_d * _M_1cx * (1 + _M_d / 2))
		/ _M_d;
	}
      else
#endif
	_M_lm_thr = std::exp(-_M_mean);
      }

/**
   * A rejection algorithm when mean >= 12 and a simple method based
   * upon the multiplication of uniform random variates otherwise.
   * NB: The former is available only if _GLIBCXX_USE_C99_MATH_TR1
   * is defined.
   *
   * Reference:
   * Devroye, L. Non-Uniform Random Variates Generation. Springer-Verlag,
   * New York, 1986, Ch. X, Sects. 3.3 & 3.4 (+ Errata!).
   */
  template<typename _IntType>
    template<typename _UniformRandomNumberGenerator>
      typename poisson_distribution<_IntType>::result_type
      poisson_distribution<_IntType>::
      operator()(_UniformRandomNumberGenerator& __urng,
		 const param_type& __param)
      {
	__detail::_Adaptor<_UniformRandomNumberGenerator, double>
	  __aurng(__urng);
#if _GLIBCXX_USE_C99_MATH_TR1
	if (__param.mean() >= 12)
	  {
	    double __x;

// See comments above...
	    const double __naf =
	      (1 - std::numeric_limits<double>::epsilon()) / 2;
	    const double __thr =
	      std::numeric_limits<_IntType>::max() + __naf;

const double __m = std::floor(__param.mean());
	    // sqrt(pi / 2)
	    const double __spi_2 = 1.2533141373155002512078826424055226L;
	    const double __c1 = __param._M_sm * __spi_2;
	    const double __c2 = __param._M_c2b + __c1;
	    const double __c3 = __c2 + 1;
	    const double __c4 = __c3 + 1;
	    // 1 / 78
	    const double __178 = 0.0128205128205128205128205128205128L;
	    // e^(1 / 78)
	    const double __e178 = 1.0129030479320018583185514777512983L;
	    const double __c5 = __c4 + __e178;
	    const double __c = __param._M_cb + __c5;
	    const double __2cx = 2 * (2 * __m + __param._M_d);

bool __reject = true;
	    do
	      {
		const double __u = __c * __aurng();
		const double __e = -std::log(1.0 - __aurng());

double __w = 0.0;

if (__u <= __c1)
		  {
		    const double __n = _M_nd(__urng);
		    const double __y = -std::abs(__n) * __param._M_sm - 1;
		    __x = std::floor(__y);
		    __w = -__n * __n / 2;
		    if (__x < -__m)
		      continue;
		  }
		else if (__u <= __c2)
		  {
		    const double __n = _M_nd(__urng);
		    const double __y = 1 + std::abs(__n) * __param._M_scx;
		    __x = std::ceil(__y);
		    __w = __y * (2 - __y) * __param._M_1cx;
		    if (__x > __param._M_d)
		      continue;
		  }
		else if (__u <= __c3)
		  // NB: This case not in the book, nor in the Errata,
		  // but should be ok...
		  __x = -1;
		else if (__u <= __c4)
		  __x = 0;
		else if (__u <= __c5)
		  {
		    __x = 1;
		    // Only in the Errata, see libstdc++/83237.
		    __w = __178;
		  }
		else
		  {
		    const double __v = -std::log(1.0 - __aurng());
		    const double __y = __param._M_d
				     + __v * __2cx / __param._M_d;
		    __x = std::ceil(__y);
		    __w = -__param._M_d * __param._M_1cx * (1 + __y / 2);
		  }

__reject = (__w - __e - __x * __param._M_lm_thr
			    > __param._M_lfm - std::lgamma(__x + __m + 1));

__reject |= __x + __m >= __thr;

} while (__reject);

return result_type(__x + __m + __naf);
	  }
	else
#endif
	  {
	    _IntType     __x = 0;
	    double __prod = 1.0;

do
	      {
		__prod *= __aurng();
		__x += 1;
	      }
	    while (__prod > __param._M_lm_thr);

return __x - 1;
	  }
      }

template<typename _IntType>
    template<typename _ForwardIterator,
	     typename _UniformRandomNumberGenerator>
      void
      poisson_distribution<_IntType>::
      __generate_impl(_ForwardIterator __f, _ForwardIterator __t,
		      _UniformRandomNumberGenerator& __urng,
		      const param_type& __param)
      {
	__glibcxx_function_requires(_ForwardIteratorConcept<_ForwardIterator>)
	// We could duplicate everything from operator()...
	while (__f != __t)
	  *__f++ = this->operator()(__urng, __param);
      }

template<typename _IntType,
	   typename _CharT, typename _Traits>
    std::basic_ostream<_CharT, _Traits>&
    operator<<(std::basic_ostream<_CharT, _Traits>& __os,
	       const poisson_distribution<_IntType>& __x)
    {
      typedef std::basic_ostream<_CharT, _Traits>  __ostream_type;
      typedef typename __ostream_type::ios_base    __ios_base;

__os << __x.mean() << __space << __x._M_nd;

__os.flags(__flags);
      __os.fill(__fill);
      __os.precision(__precision);
      return __os;
    }

template<typename _IntType,
	   typename _CharT, typename _Traits>
    std::basic_istream<_CharT, _Traits>&
    operator>>(std::basic_istream<_CharT, _Traits>& __is,
	       poisson_distribution<_IntType>& __x)
    {
      typedef std::basic_istream<_CharT, _Traits>  __istream_type;
      typedef typename __istream_type::ios_base    __ios_base;

const typename __ios_base::fmtflags __flags = __is.flags();
      __is.flags(__ios_base::skipws);

double __mean;
      if (__is >> __mean >> __x._M_nd)
	__x.param(typename poisson_distribution<_IntType>::param_type(__mean));

__is.flags(__flags);
      return __is;
    }

template<typename _IntType>
    void
    binomial_distribution<_IntType>::param_type::
    _M_initialize()
    {
      const double __p12 = _M_p <= 0.5 ? _M_p : 1.0 - _M_p;

_M_easy = true;

#if _GLIBCXX_USE_C99_MATH_TR1
      if (_M_t * __p12 >= 8)
	{
	  _M_easy = false;
	  const double __np = std::floor(_M_t * __p12);
	  const double __pa = __np / _M_t;
	  const double __1p = 1 - __pa;

const double __pi_4 = 0.7853981633974483096156608458198757L;
	  const double __d1x =
	    std::sqrt(__np * __1p * std::log(32 * __np
					     / (81 * __pi_4 * __1p)));
	  _M_d1 = std::round(std::max<double>(1.0, __d1x));
	  const double __d2x =
	    std::sqrt(__np * __1p * std::log(32 * _M_t * __1p
					     / (__pi_4 * __pa)));
	  _M_d2 = std::round(std::max<double>(1.0, __d2x));

// sqrt(pi / 2)
	  const double __spi_2 = 1.2533141373155002512078826424055226L;
	  _M_s1 = std::sqrt(__np * __1p) * (1 + _M_d1 / (4 * __np));
	  _M_s2 = std::sqrt(__np * __1p) * (1 + _M_d2 / (4 * _M_t * __1p));
	  _M_c = 2 * _M_d1 / __np;
	  _M_a1 = std::exp(_M_c) * _M_s1 * __spi_2;
	  const double __a12 = _M_a1 + _M_s2 * __spi_2;
	  const double __s1s = _M_s1 * _M_s1;
	  _M_a123 = __a12 + (std::exp(_M_d1 / (_M_t * __1p))
			     * 2 * __s1s / _M_d1
			     * std::exp(-_M_d1 * _M_d1 / (2 * __s1s)));
	  const double __s2s = _M_s2 * _M_s2;
	  _M_s = (_M_a123 + 2 * __s2s / _M_d2
		  * std::exp(-_M_d2 * _M_d2 / (2 * __s2s)));
	  _M_lf = (std::lgamma(__np + 1)
		   + std::lgamma(_M_t - __np + 1));
	  _M_lp1p = std::log(__pa / __1p);

_M_q = -std::log(1 - (__p12 - __pa) / __1p);
	}
      else
#endif
	_M_q = -std::log(1 - __p12);
    }

template<typename _IntType>
    template<typename _UniformRandomNumberGenerator>
      typename binomial_distribution<_IntType>::result_type
      binomial_distribution<_IntType>::
      _M_waiting(_UniformRandomNumberGenerator& __urng,
		 _IntType __t, double __q)
      {
	_IntType __x = 0;
	double __sum = 0.0;
	__detail::_Adaptor<_UniformRandomNumberGenerator, double>
	  __aurng(__urng);

do
	  {
	    if (__t == __x)
	      return __x;
	    const double __e = -std::log(1.0 - __aurng());
	    __sum += __e / (__t - __x);
	    __x += 1;
	  }
	while (__sum <= __q);

return __x - 1;
      }

/**
   * A rejection algorithm when t * p >= 8 and a simple waiting time
   * method - the second in the referenced book - otherwise.
   * NB: The former is available only if _GLIBCXX_USE_C99_MATH_TR1
   * is defined.
   *
   * Reference:
   * Devroye, L. Non-Uniform Random Variates Generation. Springer-Verlag,
   * New York, 1986, Ch. X, Sect. 4 (+ Errata!).
   */
  template<typename _IntType>
    template<typename _UniformRandomNumberGenerator>
      typename binomial_distribution<_IntType>::result_type
      binomial_distribution<_IntType>::
      operator()(_UniformRandomNumberGenerator& __urng,
		 const param_type& __param)
      {
	result_type __ret;
	const _IntType __t = __param.t();
	const double __p = __param.p();
	const double __p12 = __p <= 0.5 ? __p : 1.0 - __p;
	__detail::_Adaptor<_UniformRandomNumberGenerator, double>
	  __aurng(__urng);

#if _GLIBCXX_USE_C99_MATH_TR1
	if (!__param._M_easy)
	  {
	    double __x;

// See comments above...
	    const double __naf =
	      (1 - std::numeric_limits<double>::epsilon()) / 2;
	    const double __thr =
	      std::numeric_limits<_IntType>::max() + __naf;

const double __np = std::floor(__t * __p12);

// sqrt(pi / 2)
	    const double __spi_2 = 1.2533141373155002512078826424055226L;
	    const double __a1 = __param._M_a1;
	    const double __a12 = __a1 + __param._M_s2 * __spi_2;
	    const double __a123 = __param._M_a123;
	    const double __s1s = __param._M_s1 * __param._M_s1;
	    const double __s2s = __param._M_s2 * __param._M_s2;

bool __reject;
	    do
	      {
		const double __u = __param._M_s * __aurng();

double __v;

if (__u <= __a1)
		  {
		    const double __n = _M_nd(__urng);
		    const double __y = __param._M_s1 * std::abs(__n);
		    __reject = __y >= __param._M_d1;
		    if (!__reject)
		      {
			const double __e = -std::log(1.0 - __aurng());
			__x = std::floor(__y);
			__v = -__e - __n * __n / 2 + __param._M_c;
		      }
		  }
		else if (__u <= __a12)
		  {
		    const double __n = _M_nd(__urng);
		    const double __y = __param._M_s2 * std::abs(__n);
		    __reject = __y >= __param._M_d2;
		    if (!__reject)
		      {
			const double __e = -std::log(1.0 - __aurng());
			__x = std::floor(-__y);
			__v = -__e - __n * __n / 2;
		      }
		  }
		else if (__u <= __a123)
		  {
		    const double __e1 = -std::log(1.0 - __aurng());
		    const double __e2 = -std::log(1.0 - __aurng());

const double __y = __param._M_d1
				     + 2 * __s1s * __e1 / __param._M_d1;
		    __x = std::floor(__y);
		    __v = (-__e2 + __param._M_d1 * (1 / (__t - __np)
						    -__y / (2 * __s1s)));
		    __reject = false;
		  }
		else
		  {
		    const double __e1 = -std::log(1.0 - __aurng());
		    const double __e2 = -std::log(1.0 - __aurng());

const double __y = __param._M_d2
				     + 2 * __s2s * __e1 / __param._M_d2;
		    __x = std::floor(-__y);
		    __v = -__e2 - __param._M_d2 * __y / (2 * __s2s);
		    __reject = false;
		  }

__reject = __reject || __x < -__np || __x > __t - __np;
		if (!__reject)
		  {
		    const double __lfx =
		      std::lgamma(__np + __x + 1)
		      + std::lgamma(__t - (__np + __x) + 1);
		    __reject = __v > __param._M_lf - __lfx
			     + __x * __param._M_lp1p;
		  }

__reject |= __x + __np >= __thr;
	      }
	    while (__reject);

__x += __np + __naf;

const _IntType __z = _M_waiting(__urng, __t - _IntType(__x),
					    __param._M_q);
	    __ret = _IntType(__x) + __z;
	  }
	else
#endif
	  __ret = _M_waiting(__urng, __t, __param._M_q);

if (__p12 != __p)
	  __ret = __t - __ret;
	return __ret;
      }

template<typename _IntType>
    template<typename _ForwardIterator,
	     typename _UniformRandomNumberGenerator>
      void
      binomial_distribution<_IntType>::
      __generate_impl(_ForwardIterator __f, _ForwardIterator __t,
		      _UniformRandomNumberGenerator& __urng,
		      const param_type& __param)
      {
	__glibcxx_function_requires(_ForwardIteratorConcept<_ForwardIterator>)
	// We could duplicate everything from operator()...
	while (__f != __t)
	  *__f++ = this->operator()(__urng, __param);
      }

template<typename _IntType,
	   typename _CharT, typename _Traits>
    std::basic_ostream<_CharT, _Traits>&
    operator<<(std::basic_ostream<_CharT, _Traits>& __os,
	       const binomial_distribution<_IntType>& __x)
    {
      typedef std::basic_ostream<_CharT, _Traits>  __ostream_type;
      typedef typename __ostream_type::ios_base    __ios_base;

__os << __x.t() << __space << __x.p()
	   << __space << __x._M_nd;

__os.flags(__flags);
      __os.fill(__fill);
      __os.precision(__precision);
      return __os;
    }

template<typename _IntType,
	   typename _CharT, typename _Traits>
    std::basic_istream<_CharT, _Traits>&
    operator>>(std::basic_istream<_CharT, _Traits>& __is,
	       binomial_distribution<_IntType>& __x)
    {
      typedef std::basic_istream<_CharT, _Traits>  __istream_type;
      typedef typename __istream_type::ios_base    __ios_base;

const typename __ios_base::fmtflags __flags = __is.flags();
      __is.flags(__ios_base::dec | __ios_base::skipws);

_IntType __t;
      double __p;
      if (__is >> __t >> __p >> __x._M_nd)
	__x.param(typename binomial_distribution<_IntType>::
		  param_type(__t, __p));

__is.flags(__flags);
      return __is;
    }

template<typename _RealType>
    template<typename _ForwardIterator,
	     typename _UniformRandomNumberGenerator>
      void
      std::exponential_distribution<_RealType>::
      __generate_impl(_ForwardIterator __f, _ForwardIterator __t,
		      _UniformRandomNumberGenerator& __urng,
		      const param_type& __p)
      {
	__glibcxx_function_requires(_ForwardIteratorConcept<_ForwardIterator>)
	__detail::_Adaptor<_UniformRandomNumberGenerator, result_type>
	  __aurng(__urng);
	while (__f != __t)
	  *__f++ = -std::log(result_type(1) - __aurng()) / __p.lambda();
      }

template<typename _RealType, typename _CharT, typename _Traits>
    std::basic_ostream<_CharT, _Traits>&
    operator<<(std::basic_ostream<_CharT, _Traits>& __os,
	       const exponential_distribution<_RealType>& __x)
    {
      typedef std::basic_ostream<_CharT, _Traits>  __ostream_type;
      typedef typename __ostream_type::ios_base    __ios_base;

__os << __x.lambda();

__os.flags(__flags);
      __os.fill(__fill);
      __os.precision(__precision);
      return __os;
    }

template<typename _RealType, typename _CharT, typename _Traits>
    std::basic_istream<_CharT, _Traits>&
    operator>>(std::basic_istream<_CharT, _Traits>& __is,
	       exponential_distribution<_RealType>& __x)
    {
      typedef std::basic_istream<_CharT, _Traits>  __istream_type;
      typedef typename __istream_type::ios_base    __ios_base;

const typename __ios_base::fmtflags __flags = __is.flags();
      __is.flags(__ios_base::dec | __ios_base::skipws);

_RealType __lambda;
      if (__is >> __lambda)
	__x.param(typename exponential_distribution<_RealType>::
		  param_type(__lambda));

__is.flags(__flags);
      return __is;
    }

/**
   * Polar method due to Marsaglia.
   *
   * Devroye, L. Non-Uniform Random Variates Generation. Springer-Verlag,
   * New York, 1986, Ch. V, Sect. 4.4.
   */
  template<typename _RealType>
    template<typename _UniformRandomNumberGenerator>
      typename normal_distribution<_RealType>::result_type
      normal_distribution<_RealType>::
      operator()(_UniformRandomNumberGenerator& __urng,
		 const param_type& __param)
      {
	result_type __ret;
	__detail::_Adaptor<_UniformRandomNumberGenerator, result_type>
	  __aurng(__urng);

if (_M_saved_available)
	  {
	    _M_saved_available = false;
	    __ret = _M_saved;
	  }
	else
	  {
	    result_type __x, __y, __r2;
	    do
	      {
		__x = result_type(2.0) * __aurng() - 1.0;
		__y = result_type(2.0) * __aurng() - 1.0;
		__r2 = __x * __x + __y * __y;
	      }
	    while (__r2 > 1.0 || __r2 == 0.0);

const result_type __mult = std::sqrt(-2 * std::log(__r2) / __r2);
	    _M_saved = __x * __mult;
	    _M_saved_available = true;
	    __ret = __y * __mult;
	  }

__ret = __ret * __param.stddev() + __param.mean();
	return __ret;
      }

template<typename _RealType>
    template<typename _ForwardIterator,
	     typename _UniformRandomNumberGenerator>
      void
      normal_distribution<_RealType>::
      __generate_impl(_ForwardIterator __f, _ForwardIterator __t,
		      _UniformRandomNumberGenerator& __urng,
		      const param_type& __param)
      {
	__glibcxx_function_requires(_ForwardIteratorConcept<_ForwardIterator>)

if (__f == __t)
	  return;

if (_M_saved_available)
	  {
	    _M_saved_available = false;
	    *__f++ = _M_saved * __param.stddev() + __param.mean();

if (__f == __t)
	      return;
	  }

__detail::_Adaptor<_UniformRandomNumberGenerator, result_type>
	  __aurng(__urng);

while (__f + 1 < __t)
	  {
	    result_type __x, __y, __r2;
	    do
	      {
		__x = result_type(2.0) * __aurng() - 1.0;
		__y = result_type(2.0) * __aurng() - 1.0;
		__r2 = __x * __x + __y * __y;
	      }
	    while (__r2 > 1.0 || __r2 == 0.0);

const result_type __mult = std::sqrt(-2 * std::log(__r2) / __r2);
	    *__f++ = __y * __mult * __param.stddev() + __param.mean();
	    *__f++ = __x * __mult * __param.stddev() + __param.mean();
	  }

if (__f != __t)
	  {
	    result_type __x, __y, __r2;
	    do
	      {
		__x = result_type(2.0) * __aurng() - 1.0;
		__y = result_type(2.0) * __aurng() - 1.0;
		__r2 = __x * __x + __y * __y;
	      }
	    while (__r2 > 1.0 || __r2 == 0.0);

const result_type __mult = std::sqrt(-2 * std::log(__r2) / __r2);
	    _M_saved = __x * __mult;
	    _M_saved_available = true;
	    *__f = __y * __mult * __param.stddev() + __param.mean();
	  }
      }

template<typename _RealType>
    bool
    operator==(const std::normal_distribution<_RealType>& __d1,
	       const std::normal_distribution<_RealType>& __d2)
    {
      if (__d1._M_param == __d2._M_param
	  && __d1._M_saved_available == __d2._M_saved_available)
	{
	  if (__d1._M_saved_available
	      && __d1._M_saved == __d2._M_saved)
	    return true;
	  else if(!__d1._M_saved_available)
	    return true;
	  else
	    return false;
	}
      else
	return false;
    }

template<typename _RealType, typename _CharT, typename _Traits>
    std::basic_ostream<_CharT, _Traits>&
    operator<<(std::basic_ostream<_CharT, _Traits>& __os,
	       const normal_distribution<_RealType>& __x)
    {
      typedef std::basic_ostream<_CharT, _Traits>  __ostream_type;
      typedef typename __ostream_type::ios_base    __ios_base;

__os << __x.mean() << __space << __x.stddev()
	   << __space << __x._M_saved_available;
      if (__x._M_saved_available)
	__os << __space << __x._M_saved;

__os.flags(__flags);
      __os.fill(__fill);
      __os.precision(__precision);
      return __os;
    }

template<typename _RealType, typename _CharT, typename _Traits>
    std::basic_istream<_CharT, _Traits>&
    operator>>(std::basic_istream<_CharT, _Traits>& __is,
	       normal_distribution<_RealType>& __x)
    {
      typedef std::basic_istream<_CharT, _Traits>  __istream_type;
      typedef typename __istream_type::ios_base    __ios_base;

const typename __ios_base::fmtflags __flags = __is.flags();
      __is.flags(__ios_base::dec | __ios_base::skipws);

double __mean, __stddev;
      bool __saved_avail;
      if (__is >> __mean >> __stddev >> __saved_avail)
	{
	  if (!__saved_avail || (__is >> __x._M_saved))
	    {
	      __x._M_saved_available = __saved_avail;
	      __x.param(typename normal_distribution<_RealType>::
			param_type(__mean, __stddev));
	    }
	}

__is.flags(__flags);
      return __is;
    }

template<typename _RealType>
    template<typename _ForwardIterator,
	     typename _UniformRandomNumberGenerator>
      void
      lognormal_distribution<_RealType>::
      __generate_impl(_ForwardIterator __f, _ForwardIterator __t,
		      _UniformRandomNumberGenerator& __urng,
		      const param_type& __p)
      {
	__glibcxx_function_requires(_ForwardIteratorConcept<_ForwardIterator>)
	  while (__f != __t)
	    *__f++ = std::exp(__p.s() * _M_nd(__urng) + __p.m());
      }

template<typename _RealType, typename _CharT, typename _Traits>
    std::basic_ostream<_CharT, _Traits>&
    operator<<(std::basic_ostream<_CharT, _Traits>& __os,
	       const lognormal_distribution<_RealType>& __x)
    {
      typedef std::basic_ostream<_CharT, _Traits>  __ostream_type;
      typedef typename __ostream_type::ios_base    __ios_base;

__os << __x.m() << __space << __x.s()
	   << __space << __x._M_nd;

__os.flags(__flags);
      __os.fill(__fill);
      __os.precision(__precision);
      return __os;
    }

template<typename _RealType, typename _CharT, typename _Traits>
    std::basic_istream<_CharT, _Traits>&
    operator>>(std::basic_istream<_CharT, _Traits>& __is,
	       lognormal_distribution<_RealType>& __x)
    {
      typedef std::basic_istream<_CharT, _Traits>  __istream_type;
      typedef typename __istream_type::ios_base    __ios_base;

const typename __ios_base::fmtflags __flags = __is.flags();
      __is.flags(__ios_base::dec | __ios_base::skipws);

_RealType __m, __s;
      if (__is >> __m >> __s >> __x._M_nd)
	__x.param(typename lognormal_distribution<_RealType>::
		  param_type(__m, __s));

__is.flags(__flags);
      return __is;
    }

template<typename _RealType>
    template<typename _ForwardIterator,
	     typename _UniformRandomNumberGenerator>
      void
      std::chi_squared_distribution<_RealType>::
      __generate_impl(_ForwardIterator __f, _ForwardIterator __t,
		      _UniformRandomNumberGenerator& __urng)
      {
	__glibcxx_function_requires(_ForwardIteratorConcept<_ForwardIterator>)
	while (__f != __t)
	  *__f++ = 2 * _M_gd(__urng);
      }

template<typename _RealType>
    template<typename _ForwardIterator,
	     typename _UniformRandomNumberGenerator>
      void
      std::chi_squared_distribution<_RealType>::
      __generate_impl(_ForwardIterator __f, _ForwardIterator __t,
		      _UniformRandomNumberGenerator& __urng,
		      const typename
		      std::gamma_distribution<result_type>::param_type& __p)
      {
	__glibcxx_function_requires(_ForwardIteratorConcept<_ForwardIterator>)
	while (__f != __t)
	  *__f++ = 2 * _M_gd(__urng, __p);
      }

template<typename _RealType, typename _CharT, typename _Traits>
    std::basic_ostream<_CharT, _Traits>&
    operator<<(std::basic_ostream<_CharT, _Traits>& __os,
	       const chi_squared_distribution<_RealType>& __x)
    {
      typedef std::basic_ostream<_CharT, _Traits>  __ostream_type;
      typedef typename __ostream_type::ios_base    __ios_base;

__os << __x.n() << __space << __x._M_gd;

__os.flags(__flags);
      __os.fill(__fill);
      __os.precision(__precision);
      return __os;
    }

template<typename _RealType, typename _CharT, typename _Traits>
    std::basic_istream<_CharT, _Traits>&
    operator>>(std::basic_istream<_CharT, _Traits>& __is,
	       chi_squared_distribution<_RealType>& __x)
    {
      typedef std::basic_istream<_CharT, _Traits>  __istream_type;
      typedef typename __istream_type::ios_base    __ios_base;

const typename __ios_base::fmtflags __flags = __is.flags();
      __is.flags(__ios_base::dec | __ios_base::skipws);

_RealType __n;
      if (__is >> __n >> __x._M_gd)
	__x.param(typename chi_squared_distribution<_RealType>::
		  param_type(__n));

__is.flags(__flags);
      return __is;
    }

template<typename _RealType>
    template<typename _UniformRandomNumberGenerator>
      typename cauchy_distribution<_RealType>::result_type
      cauchy_distribution<_RealType>::
      operator()(_UniformRandomNumberGenerator& __urng,
		 const param_type& __p)
      {
	__detail::_Adaptor<_UniformRandomNumberGenerator, result_type>
	  __aurng(__urng);
	_RealType __u;
	do
	  __u = __aurng();
	while (__u == 0.5);

const _RealType __pi = 3.1415926535897932384626433832795029L;
	return __p.a() + __p.b() * std::tan(__pi * __u);
      }

template<typename _RealType>
    template<typename _ForwardIterator,
	     typename _UniformRandomNumberGenerator>
      void
      cauchy_distribution<_RealType>::
      __generate_impl(_ForwardIterator __f, _ForwardIterator __t,
		      _UniformRandomNumberGenerator& __urng,
		      const param_type& __p)
      {
	__glibcxx_function_requires(_ForwardIteratorConcept<_ForwardIterator>)
	const _RealType __pi = 3.1415926535897932384626433832795029L;
	__detail::_Adaptor<_UniformRandomNumberGenerator, result_type>
	  __aurng(__urng);
	while (__f != __t)
	  {
	    _RealType __u;
	    do
	      __u = __aurng();
	    while (__u == 0.5);

*__f++ = __p.a() + __p.b() * std::tan(__pi * __u);
	  }
      }

template<typename _RealType, typename _CharT, typename _Traits>
    std::basic_ostream<_CharT, _Traits>&
    operator<<(std::basic_ostream<_CharT, _Traits>& __os,
	       const cauchy_distribution<_RealType>& __x)
    {
      typedef std::basic_ostream<_CharT, _Traits>  __ostream_type;
      typedef typename __ostream_type::ios_base    __ios_base;

__os << __x.a() << __space << __x.b();

__os.flags(__flags);
      __os.fill(__fill);
      __os.precision(__precision);
      return __os;
    }

template<typename _RealType, typename _CharT, typename _Traits>
    std::basic_istream<_CharT, _Traits>&
    operator>>(std::basic_istream<_CharT, _Traits>& __is,
	       cauchy_distribution<_RealType>& __x)
    {
      typedef std::basic_istream<_CharT, _Traits>  __istream_type;
      typedef typename __istream_type::ios_base    __ios_base;

const typename __ios_base::fmtflags __flags = __is.flags();
      __is.flags(__ios_base::dec | __ios_base::skipws);

_RealType __a, __b;
      if (__is >> __a >> __b)
	__x.param(typename cauchy_distribution<_RealType>::
		  param_type(__a, __b));

__is.flags(__flags);
      return __is;
    }

template<typename _RealType>
    template<typename _ForwardIterator,
	     typename _UniformRandomNumberGenerator>
      void
      std::fisher_f_distribution<_RealType>::
      __generate_impl(_ForwardIterator __f, _ForwardIterator __t,
		      _UniformRandomNumberGenerator& __urng)
      {
	__glibcxx_function_requires(_ForwardIteratorConcept<_ForwardIterator>)
	while (__f != __t)
	  *__f++ = ((_M_gd_x(__urng) * n()) / (_M_gd_y(__urng) * m()));
      }

template<typename _RealType>
    template<typename _ForwardIterator,
	     typename _UniformRandomNumberGenerator>
      void
      std::fisher_f_distribution<_RealType>::
      __generate_impl(_ForwardIterator __f, _ForwardIterator __t,
		      _UniformRandomNumberGenerator& __urng,
		      const param_type& __p)
      {
	__glibcxx_function_requires(_ForwardIteratorConcept<_ForwardIterator>)
	typedef typename std::gamma_distribution<result_type>::param_type
	  param_type;
	param_type __p1(__p.m() / 2);
	param_type __p2(__p.n() / 2);
	while (__f != __t)
	  *__f++ = ((_M_gd_x(__urng, __p1) * n())
		    / (_M_gd_y(__urng, __p2) * m()));
      }

template<typename _RealType, typename _CharT, typename _Traits>
    std::basic_ostream<_CharT, _Traits>&
    operator<<(std::basic_ostream<_CharT, _Traits>& __os,
	       const fisher_f_distribution<_RealType>& __x)
    {
      typedef std::basic_ostream<_CharT, _Traits>  __ostream_type;
      typedef typename __ostream_type::ios_base    __ios_base;

__os << __x.m() << __space << __x.n()
	   << __space << __x._M_gd_x << __space << __x._M_gd_y;

__os.flags(__flags);
      __os.fill(__fill);
      __os.precision(__precision);
      return __os;
    }

template<typename _RealType, typename _CharT, typename _Traits>
    std::basic_istream<_CharT, _Traits>&
    operator>>(std::basic_istream<_CharT, _Traits>& __is,
	       fisher_f_distribution<_RealType>& __x)
    {
      typedef std::basic_istream<_CharT, _Traits>  __istream_type;
      typedef typename __istream_type::ios_base    __ios_base;

const typename __ios_base::fmtflags __flags = __is.flags();
      __is.flags(__ios_base::dec | __ios_base::skipws);

_RealType __m, __n;
      if (__is >> __m >> __n >> __x._M_gd_x >> __x._M_gd_y)
	__x.param(typename fisher_f_distribution<_RealType>::
		  param_type(__m, __n));

__is.flags(__flags);
      return __is;
    }

template<typename _RealType>
    template<typename _ForwardIterator,
	     typename _UniformRandomNumberGenerator>
      void
      std::student_t_distribution<_RealType>::
      __generate_impl(_ForwardIterator __f, _ForwardIterator __t,
		      _UniformRandomNumberGenerator& __urng)
      {
	__glibcxx_function_requires(_ForwardIteratorConcept<_ForwardIterator>)
	while (__f != __t)
	  *__f++ = _M_nd(__urng) * std::sqrt(n() / _M_gd(__urng));
      }

template<typename _RealType>
    template<typename _ForwardIterator,
	     typename _UniformRandomNumberGenerator>
      void
      std::student_t_distribution<_RealType>::
      __generate_impl(_ForwardIterator __f, _ForwardIterator __t,
		      _UniformRandomNumberGenerator& __urng,
		      const param_type& __p)
      {
	__glibcxx_function_requires(_ForwardIteratorConcept<_ForwardIterator>)
	typename std::gamma_distribution<result_type>::param_type
	  __p2(__p.n() / 2, 2);
	while (__f != __t)
	  *__f++ =  _M_nd(__urng) * std::sqrt(__p.n() / _M_gd(__urng, __p2));
      }

template<typename _RealType, typename _CharT, typename _Traits>
    std::basic_ostream<_CharT, _Traits>&
    operator<<(std::basic_ostream<_CharT, _Traits>& __os,
	       const student_t_distribution<_RealType>& __x)
    {
      typedef std::basic_ostream<_CharT, _Traits>  __ostream_type;
      typedef typename __ostream_type::ios_base    __ios_base;

__os << __x.n() << __space << __x._M_nd << __space << __x._M_gd;

__os.flags(__flags);
      __os.fill(__fill);
      __os.precision(__precision);
      return __os;
    }

template<typename _RealType, typename _CharT, typename _Traits>
    std::basic_istream<_CharT, _Traits>&
    operator>>(std::basic_istream<_CharT, _Traits>& __is,
	       student_t_distribution<_RealType>& __x)
    {
      typedef std::basic_istream<_CharT, _Traits>  __istream_type;
      typedef typename __istream_type::ios_base    __ios_base;

const typename __ios_base::fmtflags __flags = __is.flags();
      __is.flags(__ios_base::dec | __ios_base::skipws);

_RealType __n;
      if (__is >> __n >> __x._M_nd >> __x._M_gd)
	__x.param(typename student_t_distribution<_RealType>::param_type(__n));

__is.flags(__flags);
      return __is;
    }

template<typename _RealType>
    void
    gamma_distribution<_RealType>::param_type::
    _M_initialize()
    {
      _M_malpha = _M_alpha < 1.0 ? _M_alpha + _RealType(1.0) : _M_alpha;

const _RealType __a1 = _M_malpha - _RealType(1.0) / _RealType(3.0);
      _M_a2 = _RealType(1.0) / std::sqrt(_RealType(9.0) * __a1);
    }

/**
   * Marsaglia, G. and Tsang, W. W.
   * "A Simple Method for Generating Gamma Variables"
   * ACM Transactions on Mathematical Software, 26, 3, 363-372, 2000.
   */
  template<typename _RealType>
    template<typename _UniformRandomNumberGenerator>
      typename gamma_distribution<_RealType>::result_type
      gamma_distribution<_RealType>::
      operator()(_UniformRandomNumberGenerator& __urng,
		 const param_type& __param)
      {
	__detail::_Adaptor<_UniformRandomNumberGenerator, result_type>
	  __aurng(__urng);

result_type __u, __v, __n;
	const result_type __a1 = (__param._M_malpha
				  - _RealType(1.0) / _RealType(3.0));

do
	  {
	    do
	      {
		__n = _M_nd(__urng);
		__v = result_type(1.0) + __param._M_a2 * __n; 
	      }
	    while (__v <= 0.0);

__v = __v * __v * __v;
	    __u = __aurng();
	  }
	while (__u > result_type(1.0) - 0.0331 * __n * __n * __n * __n
	       && (std::log(__u) > (0.5 * __n * __n + __a1
				    * (1.0 - __v + std::log(__v)))));

if (__param.alpha() == __param._M_malpha)
	  return __a1 * __v * __param.beta();
	else
	  {
	    do
	      __u = __aurng();
	    while (__u == 0.0);
	    
	    return (std::pow(__u, result_type(1.0) / __param.alpha())
		    * __a1 * __v * __param.beta());
	  }
      }

template<typename _RealType>
    template<typename _ForwardIterator,
	     typename _UniformRandomNumberGenerator>
      void
      gamma_distribution<_RealType>::
      __generate_impl(_ForwardIterator __f, _ForwardIterator __t,
		      _UniformRandomNumberGenerator& __urng,
		      const param_type& __param)
      {
	__glibcxx_function_requires(_ForwardIteratorConcept<_ForwardIterator>)
	__detail::_Adaptor<_UniformRandomNumberGenerator, result_type>
	  __aurng(__urng);

result_type __u, __v, __n;
	const result_type __a1 = (__param._M_malpha
				  - _RealType(1.0) / _RealType(3.0));

if (__param.alpha() == __param._M_malpha)
	  while (__f != __t)
	    {
	      do
		{
		  do
		    {
		      __n = _M_nd(__urng);
		      __v = result_type(1.0) + __param._M_a2 * __n;
		    }
		  while (__v <= 0.0);

__v = __v * __v * __v;
		  __u = __aurng();
		}
	      while (__u > result_type(1.0) - 0.0331 * __n * __n * __n * __n
		     && (std::log(__u) > (0.5 * __n * __n + __a1
					  * (1.0 - __v + std::log(__v)))));

*__f++ = __a1 * __v * __param.beta();
	    }
	else
	  while (__f != __t)
	    {
	      do
		{
		  do
		    {
		      __n = _M_nd(__urng);
		      __v = result_type(1.0) + __param._M_a2 * __n;
		    }
		  while (__v <= 0.0);

__v = __v * __v * __v;
		  __u = __aurng();
		}
	      while (__u > result_type(1.0) - 0.0331 * __n * __n * __n * __n
		     && (std::log(__u) > (0.5 * __n * __n + __a1
					  * (1.0 - __v + std::log(__v)))));

do
		__u = __aurng();
	      while (__u == 0.0);

*__f++ = (std::pow(__u, result_type(1.0) / __param.alpha())
			* __a1 * __v * __param.beta());
	    }
      }

template<typename _RealType, typename _CharT, typename _Traits>
    std::basic_ostream<_CharT, _Traits>&
    operator<<(std::basic_ostream<_CharT, _Traits>& __os,
	       const gamma_distribution<_RealType>& __x)
    {
      typedef std::basic_ostream<_CharT, _Traits>  __ostream_type;
      typedef typename __ostream_type::ios_base    __ios_base;

__os << __x.alpha() << __space << __x.beta()
	   << __space << __x._M_nd;

__os.flags(__flags);
      __os.fill(__fill);
      __os.precision(__precision);
      return __os;
    }

template<typename _RealType, typename _CharT, typename _Traits>
    std::basic_istream<_CharT, _Traits>&
    operator>>(std::basic_istream<_CharT, _Traits>& __is,
	       gamma_distribution<_RealType>& __x)
    {
      typedef std::basic_istream<_CharT, _Traits>  __istream_type;
      typedef typename __istream_type::ios_base    __ios_base;

const typename __ios_base::fmtflags __flags = __is.flags();
      __is.flags(__ios_base::dec | __ios_base::skipws);

_RealType __alpha_val, __beta_val;
      if (__is >> __alpha_val >> __beta_val >> __x._M_nd)
	__x.param(typename gamma_distribution<_RealType>::
		  param_type(__alpha_val, __beta_val));

__is.flags(__flags);
      return __is;
    }

template<typename _RealType>
    template<typename _UniformRandomNumberGenerator>
      typename weibull_distribution<_RealType>::result_type
      weibull_distribution<_RealType>::
      operator()(_UniformRandomNumberGenerator& __urng,
		 const param_type& __p)
      {
	__detail::_Adaptor<_UniformRandomNumberGenerator, result_type>
	  __aurng(__urng);
	return __p.b() * std::pow(-std::log(result_type(1) - __aurng()),
				  result_type(1) / __p.a());
      }

template<typename _RealType>
    template<typename _ForwardIterator,
	     typename _UniformRandomNumberGenerator>
      void
      weibull_distribution<_RealType>::
      __generate_impl(_ForwardIterator __f, _ForwardIterator __t,
		      _UniformRandomNumberGenerator& __urng,
		      const param_type& __p)
      {
	__glibcxx_function_requires(_ForwardIteratorConcept<_ForwardIterator>)
	__detail::_Adaptor<_UniformRandomNumberGenerator, result_type>
	  __aurng(__urng);
	auto __inv_a = result_type(1) / __p.a();

while (__f != __t)
	  *__f++ = __p.b() * std::pow(-std::log(result_type(1) - __aurng()),
				      __inv_a);
      }

template<typename _RealType, typename _CharT, typename _Traits>
    std::basic_ostream<_CharT, _Traits>&
    operator<<(std::basic_ostream<_CharT, _Traits>& __os,
	       const weibull_distribution<_RealType>& __x)
    {
      typedef std::basic_ostream<_CharT, _Traits>  __ostream_type;
      typedef typename __ostream_type::ios_base    __ios_base;

__os << __x.a() << __space << __x.b();

__os.flags(__flags);
      __os.fill(__fill);
      __os.precision(__precision);
      return __os;
    }

template<typename _RealType, typename _CharT, typename _Traits>
    std::basic_istream<_CharT, _Traits>&
    operator>>(std::basic_istream<_CharT, _Traits>& __is,
	       weibull_distribution<_RealType>& __x)
    {
      typedef std::basic_istream<_CharT, _Traits>  __istream_type;
      typedef typename __istream_type::ios_base    __ios_base;

const typename __ios_base::fmtflags __flags = __is.flags();
      __is.flags(__ios_base::dec | __ios_base::skipws);

_RealType __a, __b;
      if (__is >> __a >> __b)
	__x.param(typename weibull_distribution<_RealType>::
		  param_type(__a, __b));

__is.flags(__flags);
      return __is;
    }

template<typename _RealType>
    template<typename _UniformRandomNumberGenerator>
      typename extreme_value_distribution<_RealType>::result_type
      extreme_value_distribution<_RealType>::
      operator()(_UniformRandomNumberGenerator& __urng,
		 const param_type& __p)
      {
	__detail::_Adaptor<_UniformRandomNumberGenerator, result_type>
	  __aurng(__urng);
	return __p.a() - __p.b() * std::log(-std::log(result_type(1)
						      - __aurng()));
      }

template<typename _RealType>
    template<typename _ForwardIterator,
	     typename _UniformRandomNumberGenerator>
      void
      extreme_value_distribution<_RealType>::
      __generate_impl(_ForwardIterator __f, _ForwardIterator __t,
		      _UniformRandomNumberGenerator& __urng,
		      const param_type& __p)
      {
	__glibcxx_function_requires(_ForwardIteratorConcept<_ForwardIterator>)
	__detail::_Adaptor<_UniformRandomNumberGenerator, result_type>
	  __aurng(__urng);

while (__f != __t)
	  *__f++ = __p.a() - __p.b() * std::log(-std::log(result_type(1)
							  - __aurng()));
      }

template<typename _RealType, typename _CharT, typename _Traits>
    std::basic_ostream<_CharT, _Traits>&
    operator<<(std::basic_ostream<_CharT, _Traits>& __os,
	       const extreme_value_distribution<_RealType>& __x)
    {
      typedef std::basic_ostream<_CharT, _Traits>  __ostream_type;
      typedef typename __ostream_type::ios_base    __ios_base;

__os << __x.a() << __space << __x.b();

__os.flags(__flags);
      __os.fill(__fill);
      __os.precision(__precision);
      return __os;
    }

template<typename _RealType, typename _CharT, typename _Traits>
    std::basic_istream<_CharT, _Traits>&
    operator>>(std::basic_istream<_CharT, _Traits>& __is,
	       extreme_value_distribution<_RealType>& __x)
    {
      typedef std::basic_istream<_CharT, _Traits>  __istream_type;
      typedef typename __istream_type::ios_base    __ios_base;

const typename __ios_base::fmtflags __flags = __is.flags();
      __is.flags(__ios_base::dec | __ios_base::skipws);

_RealType __a, __b;
      if (__is >> __a >> __b)
	__x.param(typename extreme_value_distribution<_RealType>::
		  param_type(__a, __b));

__is.flags(__flags);
      return __is;
    }

template<typename _IntType>
    void
    discrete_distribution<_IntType>::param_type::
    _M_initialize()
    {
      if (_M_prob.size() < 2)
	{
	  _M_prob.clear();
	  return;
	}

const double __sum = std::accumulate(_M_prob.begin(),
					   _M_prob.end(), 0.0);
      // Now normalize the probabilites.
      __detail::__normalize(_M_prob.begin(), _M_prob.end(), _M_prob.begin(),
			    __sum);
      // Accumulate partial sums.
      _M_cp.reserve(_M_prob.size());
      std::partial_sum(_M_prob.begin(), _M_prob.end(),
		       std::back_inserter(_M_cp));
      // Make sure the last cumulative probability is one.
      _M_cp[_M_cp.size() - 1] = 1.0;
    }

template<typename _IntType>
    template<typename _Func>
      discrete_distribution<_IntType>::param_type::
      param_type(size_t __nw, double __xmin, double __xmax, _Func __fw)
      : _M_prob(), _M_cp()
      {
	const size_t __n = __nw == 0 ? 1 : __nw;
	const double __delta = (__xmax - __xmin) / __n;

_M_prob.reserve(__n);
	for (size_t __k = 0; __k < __nw; ++__k)
	  _M_prob.push_back(__fw(__xmin + __k * __delta + 0.5 * __delta));

_M_initialize();
      }

template<typename _IntType>
    template<typename _UniformRandomNumberGenerator>
      typename discrete_distribution<_IntType>::result_type
      discrete_distribution<_IntType>::
      operator()(_UniformRandomNumberGenerator& __urng,
		 const param_type& __param)
      {
	if (__param._M_cp.empty())
	  return result_type(0);

__detail::_Adaptor<_UniformRandomNumberGenerator, double>
	  __aurng(__urng);

const double __p = __aurng();
	auto __pos = std::lower_bound(__param._M_cp.begin(),
				      __param._M_cp.end(), __p);

return __pos - __param._M_cp.begin();
      }

template<typename _IntType>
    template<typename _ForwardIterator,
	     typename _UniformRandomNumberGenerator>
      void
      discrete_distribution<_IntType>::
      __generate_impl(_ForwardIterator __f, _ForwardIterator __t,
		      _UniformRandomNumberGenerator& __urng,
		      const param_type& __param)
      {
	__glibcxx_function_requires(_ForwardIteratorConcept<_ForwardIterator>)

if (__param._M_cp.empty())
	  {
	    while (__f != __t)
	      *__f++ = result_type(0);
	    return;
	  }

__detail::_Adaptor<_UniformRandomNumberGenerator, double>
	  __aurng(__urng);

while (__f != __t)
	  {
	    const double __p = __aurng();
	    auto __pos = std::lower_bound(__param._M_cp.begin(),
					  __param._M_cp.end(), __p);

*__f++ = __pos - __param._M_cp.begin();
	  }
      }

template<typename _IntType, typename _CharT, typename _Traits>
    std::basic_ostream<_CharT, _Traits>&
    operator<<(std::basic_ostream<_CharT, _Traits>& __os,
	       const discrete_distribution<_IntType>& __x)
    {
      typedef std::basic_ostream<_CharT, _Traits>  __ostream_type;
      typedef typename __ostream_type::ios_base    __ios_base;

std::vector<double> __prob = __x.probabilities();
      __os << __prob.size();
      for (auto __dit = __prob.begin(); __dit != __prob.end(); ++__dit)
	__os << __space << *__dit;

__os.flags(__flags);
      __os.fill(__fill);
      __os.precision(__precision);
      return __os;
    }

namespace __detail
{
  template<typename _ValT, typename _CharT, typename _Traits>
    basic_istream<_CharT, _Traits>&
    __extract_params(basic_istream<_CharT, _Traits>& __is,
		     vector<_ValT>& __vals, size_t __n)
    {
      __vals.reserve(__n);
      while (__n--)
	{
	  _ValT __val;
	  if (__is >> __val)
	    __vals.push_back(__val);
	  else
	    break;
	}
      return __is;
    }
} // namespace __detail

template<typename _IntType, typename _CharT, typename _Traits>
    std::basic_istream<_CharT, _Traits>&
    operator>>(std::basic_istream<_CharT, _Traits>& __is,
	       discrete_distribution<_IntType>& __x)
    {
      typedef std::basic_istream<_CharT, _Traits>  __istream_type;
      typedef typename __istream_type::ios_base    __ios_base;

const typename __ios_base::fmtflags __flags = __is.flags();
      __is.flags(__ios_base::dec | __ios_base::skipws);

size_t __n;
      if (__is >> __n)
	{
	  std::vector<double> __prob_vec;
	  if (__detail::__extract_params(__is, __prob_vec, __n))
	    __x.param({__prob_vec.begin(), __prob_vec.end()});
	}

__is.flags(__flags);
      return __is;
    }

template<typename _RealType>
    void
    piecewise_constant_distribution<_RealType>::param_type::
    _M_initialize()
    {
      if (_M_int.size() < 2
	  || (_M_int.size() == 2
	      && _M_int[0] == _RealType(0)
	      && _M_int[1] == _RealType(1)))
	{
	  _M_int.clear();
	  _M_den.clear();
	  return;
	}

const double __sum = std::accumulate(_M_den.begin(),
					   _M_den.end(), 0.0);

__detail::__normalize(_M_den.begin(), _M_den.end(), _M_den.begin(),
			    __sum);

_M_cp.reserve(_M_den.size());
      std::partial_sum(_M_den.begin(), _M_den.end(),
		       std::back_inserter(_M_cp));

// Make sure the last cumulative probability is one.
      _M_cp[_M_cp.size() - 1] = 1.0;

for (size_t __k = 0; __k < _M_den.size(); ++__k)
	_M_den[__k] /= _M_int[__k + 1] - _M_int[__k];
    }

template<typename _RealType>
    template<typename _InputIteratorB, typename _InputIteratorW>
      piecewise_constant_distribution<_RealType>::param_type::
      param_type(_InputIteratorB __bbegin,
		 _InputIteratorB __bend,
		 _InputIteratorW __wbegin)
      : _M_int(), _M_den(), _M_cp()
      {
	if (__bbegin != __bend)
	  {
	    for (;;)
	      {
		_M_int.push_back(*__bbegin);
		++__bbegin;
		if (__bbegin == __bend)
		  break;

_M_den.push_back(*__wbegin);
		++__wbegin;
	      }
	  }

_M_initialize();
      }

template<typename _RealType>
    template<typename _Func>
      piecewise_constant_distribution<_RealType>::param_type::
      param_type(initializer_list<_RealType> __bl, _Func __fw)
      : _M_int(), _M_den(), _M_cp()
      {
	_M_int.reserve(__bl.size());
	for (auto __biter = __bl.begin(); __biter != __bl.end(); ++__biter)
	  _M_int.push_back(*__biter);

_M_den.reserve(_M_int.size() - 1);
	for (size_t __k = 0; __k < _M_int.size() - 1; ++__k)
	  _M_den.push_back(__fw(0.5 * (_M_int[__k + 1] + _M_int[__k])));

_M_initialize();
      }

template<typename _RealType>
    template<typename _Func>
      piecewise_constant_distribution<_RealType>::param_type::
      param_type(size_t __nw, _RealType __xmin, _RealType __xmax, _Func __fw)
      : _M_int(), _M_den(), _M_cp()
      {
	const size_t __n = __nw == 0 ? 1 : __nw;
	const _RealType __delta = (__xmax - __xmin) / __n;

_M_int.reserve(__n + 1);
	for (size_t __k = 0; __k <= __nw; ++__k)
	  _M_int.push_back(__xmin + __k * __delta);

_M_den.reserve(__n);
	for (size_t __k = 0; __k < __nw; ++__k)
	  _M_den.push_back(__fw(_M_int[__k] + 0.5 * __delta));

_M_initialize();
      }

template<typename _RealType>
    template<typename _UniformRandomNumberGenerator>
      typename piecewise_constant_distribution<_RealType>::result_type
      piecewise_constant_distribution<_RealType>::
      operator()(_UniformRandomNumberGenerator& __urng,
		 const param_type& __param)
      {
	__detail::_Adaptor<_UniformRandomNumberGenerator, double>
	  __aurng(__urng);

const double __p = __aurng();
	if (__param._M_cp.empty())
	  return __p;

auto __pos = std::lower_bound(__param._M_cp.begin(),
				      __param._M_cp.end(), __p);
	const size_t __i = __pos - __param._M_cp.begin();

const double __pref = __i > 0 ? __param._M_cp[__i - 1] : 0.0;

return __param._M_int[__i] + (__p - __pref) / __param._M_den[__i];
      }

template<typename _RealType>
    template<typename _ForwardIterator,
	     typename _UniformRandomNumberGenerator>
      void
      piecewise_constant_distribution<_RealType>::
      __generate_impl(_ForwardIterator __f, _ForwardIterator __t,
		      _UniformRandomNumberGenerator& __urng,
		      const param_type& __param)
      {
	__glibcxx_function_requires(_ForwardIteratorConcept<_ForwardIterator>)
	__detail::_Adaptor<_UniformRandomNumberGenerator, double>
	  __aurng(__urng);

if (__param._M_cp.empty())
	  {
	    while (__f != __t)
	      *__f++ = __aurng();
	    return;
	  }

while (__f != __t)
	  {
	    const double __p = __aurng();

auto __pos = std::lower_bound(__param._M_cp.begin(),
					  __param._M_cp.end(), __p);
	    const size_t __i = __pos - __param._M_cp.begin();

const double __pref = __i > 0 ? __param._M_cp[__i - 1] : 0.0;

*__f++ = (__param._M_int[__i]
		      + (__p - __pref) / __param._M_den[__i]);
	  }
      }

template<typename _RealType, typename _CharT, typename _Traits>
    std::basic_ostream<_CharT, _Traits>&
    operator<<(std::basic_ostream<_CharT, _Traits>& __os,
	       const piecewise_constant_distribution<_RealType>& __x)
    {
      typedef std::basic_ostream<_CharT, _Traits>  __ostream_type;
      typedef typename __ostream_type::ios_base    __ios_base;

std::vector<_RealType> __int = __x.intervals();
      __os << __int.size() - 1;

for (auto __xit = __int.begin(); __xit != __int.end(); ++__xit)
	__os << __space << *__xit;

std::vector<double> __den = __x.densities();
      for (auto __dit = __den.begin(); __dit != __den.end(); ++__dit)
	__os << __space << *__dit;

__os.flags(__flags);
      __os.fill(__fill);
      __os.precision(__precision);
      return __os;
    }

template<typename _RealType, typename _CharT, typename _Traits>
    std::basic_istream<_CharT, _Traits>&
    operator>>(std::basic_istream<_CharT, _Traits>& __is,
	       piecewise_constant_distribution<_RealType>& __x)
    {
      typedef std::basic_istream<_CharT, _Traits>  __istream_type;
      typedef typename __istream_type::ios_base    __ios_base;

const typename __ios_base::fmtflags __flags = __is.flags();
      __is.flags(__ios_base::dec | __ios_base::skipws);

size_t __n;
      if (__is >> __n)
	{
	  std::vector<_RealType> __int_vec;
	  if (__detail::__extract_params(__is, __int_vec, __n + 1))
	    {
	      std::vector<double> __den_vec;
	      if (__detail::__extract_params(__is, __den_vec, __n))
		{
		  __x.param({ __int_vec.begin(), __int_vec.end(),
			      __den_vec.begin() });
		}
	    }
	}

__is.flags(__flags);
      return __is;
    }

template<typename _RealType>
    void
    piecewise_linear_distribution<_RealType>::param_type::
    _M_initialize()
    {
      if (_M_int.size() < 2
	  || (_M_int.size() == 2
	      && _M_int[0] == _RealType(0)
	      && _M_int[1] == _RealType(1)
	      && _M_den[0] == _M_den[1]))
	{
	  _M_int.clear();
	  _M_den.clear();
	  return;
	}

double __sum = 0.0;
      _M_cp.reserve(_M_int.size() - 1);
      _M_m.reserve(_M_int.size() - 1);
      for (size_t __k = 0; __k < _M_int.size() - 1; ++__k)
	{
	  const _RealType __delta = _M_int[__k + 1] - _M_int[__k];
	  __sum += 0.5 * (_M_den[__k + 1] + _M_den[__k]) * __delta;
	  _M_cp.push_back(__sum);
	  _M_m.push_back((_M_den[__k + 1] - _M_den[__k]) / __delta);
	}

//  Now normalize the densities...
      __detail::__normalize(_M_den.begin(), _M_den.end(), _M_den.begin(),
			    __sum);
      //  ... and partial sums... 
      __detail::__normalize(_M_cp.begin(), _M_cp.end(), _M_cp.begin(), __sum);
      //  ... and slopes.
      __detail::__normalize(_M_m.begin(), _M_m.end(), _M_m.begin(), __sum);

//  Make sure the last cumulative probablility is one.
      _M_cp[_M_cp.size() - 1] = 1.0;
     }

template<typename _RealType>
    template<typename _InputIteratorB, typename _InputIteratorW>
      piecewise_linear_distribution<_RealType>::param_type::
      param_type(_InputIteratorB __bbegin,
		 _InputIteratorB __bend,
		 _InputIteratorW __wbegin)
      : _M_int(), _M_den(), _M_cp(), _M_m()
      {
	for (; __bbegin != __bend; ++__bbegin, ++__wbegin)
	  {
	    _M_int.push_back(*__bbegin);
	    _M_den.push_back(*__wbegin);
	  }

_M_initialize();
      }

template<typename _RealType>
    template<typename _Func>
      piecewise_linear_distribution<_RealType>::param_type::
      param_type(initializer_list<_RealType> __bl, _Func __fw)
      : _M_int(), _M_den(), _M_cp(), _M_m()
      {
	_M_int.reserve(__bl.size());
	_M_den.reserve(__bl.size());
	for (auto __biter = __bl.begin(); __biter != __bl.end(); ++__biter)
	  {
	    _M_int.push_back(*__biter);
	    _M_den.push_back(__fw(*__biter));
	  }

_M_initialize();
      }

template<typename _RealType>
    template<typename _Func>
      piecewise_linear_distribution<_RealType>::param_type::
      param_type(size_t __nw, _RealType __xmin, _RealType __xmax, _Func __fw)
      : _M_int(), _M_den(), _M_cp(), _M_m()
      {
	const size_t __n = __nw == 0 ? 1 : __nw;
	const _RealType __delta = (__xmax - __xmin) / __n;

_M_int.reserve(__n + 1);
	_M_den.reserve(__n + 1);
	for (size_t __k = 0; __k <= __nw; ++__k)
	  {
	    _M_int.push_back(__xmin + __k * __delta);
	    _M_den.push_back(__fw(_M_int[__k] + __delta));
	  }

_M_initialize();
      }

template<typename _RealType>
    template<typename _UniformRandomNumberGenerator>
      typename piecewise_linear_distribution<_RealType>::result_type
      piecewise_linear_distribution<_RealType>::
      operator()(_UniformRandomNumberGenerator& __urng,
		 const param_type& __param)
      {
	__detail::_Adaptor<_UniformRandomNumberGenerator, double>
	  __aurng(__urng);

const double __p = __aurng();
	if (__param._M_cp.empty())
	  return __p;

auto __pos = std::lower_bound(__param._M_cp.begin(),
				      __param._M_cp.end(), __p);
	const size_t __i = __pos - __param._M_cp.begin();

const double __pref = __i > 0 ? __param._M_cp[__i - 1] : 0.0;

const double __a = 0.5 * __param._M_m[__i];
	const double __b = __param._M_den[__i];
	const double __cm = __p - __pref;

_RealType __x = __param._M_int[__i];
	if (__a == 0)
	  __x += __cm / __b;
	else
	  {
	    const double __d = __b * __b + 4.0 * __a * __cm;
	    __x += 0.5 * (std::sqrt(__d) - __b) / __a;
          }

return __x;
      }

template<typename _RealType>
    template<typename _ForwardIterator,
	     typename _UniformRandomNumberGenerator>
      void
      piecewise_linear_distribution<_RealType>::
      __generate_impl(_ForwardIterator __f, _ForwardIterator __t,
		      _UniformRandomNumberGenerator& __urng,
		      const param_type& __param)
      {
	__glibcxx_function_requires(_ForwardIteratorConcept<_ForwardIterator>)
	// We could duplicate everything from operator()...
	while (__f != __t)
	  *__f++ = this->operator()(__urng, __param);
      }

template<typename _RealType, typename _CharT, typename _Traits>
    std::basic_ostream<_CharT, _Traits>&
    operator<<(std::basic_ostream<_CharT, _Traits>& __os,
	       const piecewise_linear_distribution<_RealType>& __x)
    {
      typedef std::basic_ostream<_CharT, _Traits>  __ostream_type;
      typedef typename __ostream_type::ios_base    __ios_base;

std::vector<_RealType> __int = __x.intervals();
      __os << __int.size() - 1;

for (auto __xit = __int.begin(); __xit != __int.end(); ++__xit)
	__os << __space << *__xit;

std::vector<double> __den = __x.densities();
      for (auto __dit = __den.begin(); __dit != __den.end(); ++__dit)
	__os << __space << *__dit;

__os.flags(__flags);
      __os.fill(__fill);
      __os.precision(__precision);
      return __os;
    }

template<typename _RealType, typename _CharT, typename _Traits>
    std::basic_istream<_CharT, _Traits>&
    operator>>(std::basic_istream<_CharT, _Traits>& __is,
	       piecewise_linear_distribution<_RealType>& __x)
    {
      typedef std::basic_istream<_CharT, _Traits>  __istream_type;
      typedef typename __istream_type::ios_base    __ios_base;

const typename __ios_base::fmtflags __flags = __is.flags();
      __is.flags(__ios_base::dec | __ios_base::skipws);

size_t __n;
      if (__is >> __n)
	{
	  vector<_RealType> __int_vec;
	  if (__detail::__extract_params(__is, __int_vec, __n + 1))
	    {
	      vector<double> __den_vec;
	      if (__detail::__extract_params(__is, __den_vec, __n + 1))
		{
		  __x.param({ __int_vec.begin(), __int_vec.end(),
			      __den_vec.begin() });
		}
	    }
	}
      __is.flags(__flags);
      return __is;
    }

template<typename _IntType>
    seed_seq::seed_seq(std::initializer_list<_IntType> __il)
    {
      for (auto __iter = __il.begin(); __iter != __il.end(); ++__iter)
	_M_v.push_back(__detail::__mod<result_type,
		       __detail::_Shift<result_type, 32>::__value>(*__iter));
    }

template<typename _InputIterator>
    seed_seq::seed_seq(_InputIterator __begin, _InputIterator __end)
    {
      for (_InputIterator __iter = __begin; __iter != __end; ++__iter)
	_M_v.push_back(__detail::__mod<result_type,
		       __detail::_Shift<result_type, 32>::__value>(*__iter));
    }

template<typename _RandomAccessIterator>
    void
    seed_seq::generate(_RandomAccessIterator __begin,
		       _RandomAccessIterator __end)
    {
      typedef typename iterator_traits<_RandomAccessIterator>::value_type
        _Type;

if (__begin == __end)
	return;

std::fill(__begin, __end, _Type(0x8b8b8b8bu));

const size_t __n = __end - __begin;
      const size_t __s = _M_v.size();
      const size_t __t = (__n >= 623) ? 11
		       : (__n >=  68) ? 7
		       : (__n >=  39) ? 5
		       : (__n >=   7) ? 3
		       : (__n - 1) / 2;
      const size_t __p = (__n - __t) / 2;
      const size_t __q = __p + __t;
      const size_t __m = std::max(size_t(__s + 1), __n);

for (size_t __k = 0; __k < __m; ++__k)
	{
	  _Type __arg = (__begin[__k % __n]
			 ^ __begin[(__k + __p) % __n]
			 ^ __begin[(__k - 1) % __n]);
	  _Type __r1 = __arg ^ (__arg >> 27);
	  __r1 = __detail::__mod<_Type,
		    __detail::_Shift<_Type, 32>::__value>(1664525u * __r1);
	  _Type __r2 = __r1;
	  if (__k == 0)
	    __r2 += __s;
	  else if (__k <= __s)
	    __r2 += __k % __n + _M_v[__k - 1];
	  else
	    __r2 += __k % __n;
	  __r2 = __detail::__mod<_Type,
	           __detail::_Shift<_Type, 32>::__value>(__r2);
	  __begin[(__k + __p) % __n] += __r1;
	  __begin[(__k + __q) % __n] += __r2;
	  __begin[__k % __n] = __r2;
	}

for (size_t __k = __m; __k < __m + __n; ++__k)
	{
	  _Type __arg = (__begin[__k % __n]
			 + __begin[(__k + __p) % __n]
			 + __begin[(__k - 1) % __n]);
	  _Type __r3 = __arg ^ (__arg >> 27);
	  __r3 = __detail::__mod<_Type,
		   __detail::_Shift<_Type, 32>::__value>(1566083941u * __r3);
	  _Type __r4 = __r3 - __k % __n;
	  __r4 = __detail::__mod<_Type,
	           __detail::_Shift<_Type, 32>::__value>(__r4);
	  __begin[(__k + __p) % __n] ^= __r3;
	  __begin[(__k + __q) % __n] ^= __r4;
	  __begin[__k % __n] = __r4;
	}
    }

template<typename _RealType, size_t __bits,
	   typename _UniformRandomNumberGenerator>
    _RealType
    generate_canonical(_UniformRandomNumberGenerator& __urng)
    {
      static_assert(std::is_floating_point<_RealType>::value,
		    "template argument must be a floating point type");

const size_t __b
	= std::min(static_cast<size_t>(std::numeric_limits<_RealType>::digits),
                   __bits);
      const long double __r = static_cast<long double>(__urng.max())
			    - static_cast<long double>(__urng.min()) + 1.0L;
      const size_t __log2r = std::log(__r) / std::log(2.0L);
      const size_t __m = std::max<size_t>(1UL,
					  (__b + __log2r - 1UL) / __log2r);
      _RealType __ret;
      _RealType __sum = _RealType(0);
      _RealType __tmp = _RealType(1);
      for (size_t __k = __m; __k != 0; --__k)
	{
	  __sum += _RealType(__urng() - __urng.min()) * __tmp;
	  __tmp *= __r;
	}
      __ret = __sum / __tmp;
      if (__builtin_expect(__ret >= _RealType(1), 0))
	{
#if _GLIBCXX_USE_C99_MATH_TR1
	  __ret = std::nextafter(_RealType(1), _RealType(0));
#else
	  __ret = _RealType(1)
	    - std::numeric_limits<_RealType>::epsilon() / _RealType(2);
#endif
	}
      return __ret;
    }

_GLIBCXX_END_NAMESPACE_VERSION
} // namespace

#endif

Back