// random number generation (out of line) -*- C++ -*-
// Copyright (C) 2009, 2010, 2011 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)
{
/*
* (Further) implementation-space details.
*/
namespace __detail
{
_GLIBCXX_BEGIN_NAMESPACE_VERSION
// General case for x = (ax + c) mod m -- use Schrage's algorithm to
// avoid integer overflow.
//
// Because a and c are compile-time integral constants the compiler
// kindly elides any unreachable paths.
//
// Preconditions: a > 0, m > 0.
//
template<typename _Tp, _Tp __m, _Tp __a, _Tp __c, bool>
struct _Mod
{
static _Tp
__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;
}
};
// Special case for m == 0 -- use unsigned integer overflow as modulo
// operator.
template<typename _Tp, _Tp __m, _Tp __a, _Tp __c>
struct _Mod<_Tp, __m, __a, __c, true>
{
static _Tp
__calc(_Tp __x)
{ return __a * __x + __c; }
};
template<typename _InputIterator, typename _OutputIterator,
typename _UnaryOperation>
_OutputIterator
__transform(_InputIterator __first, _InputIterator __last,
_OutputIterator __result, _UnaryOperation __unary_op)
{
for (; __first != __last; ++__first, ++__result)
*__result = __unary_op(*__first);
return __result;
}
_GLIBCXX_END_NAMESPACE_VERSION
} // namespace __detail
_GLIBCXX_BEGIN_NAMESPACE_VERSION
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;
}
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)
{
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;
}
// 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 - 1; ++__i)
__os << __x._M_x[__i] << __space;
__os << __x._M_x[__n - 1];
__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.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;
__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.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()()
{
const long double __r = static_cast<long double>(_M_b.max())
- static_cast<long double>(_M_b.min()) + 1.0L;
const result_type __m = std::log(__r) / std::log(2.0L);
result_type __n, __n0, __y0, __y1, __s0, __s1;
for (size_t __i = 0; __i < 2; ++__i)
{
__n = (__w + __m - 1) / __m + __i;
__n0 = __n - __w % __n;
const result_type __w0 = __w / __n;
const result_type __w1 = __w0 + 1;
__s0 = result_type(1) << __w0;
__s1 = result_type(1) << __w1;
__y0 = __s0 * (__r / __s0);
__y1 = __s1 * (__r / __s1);
if (__r - __y0 <= __y0 / __n)
break;
}
result_type __sum = 0;
for (size_t __k = 0; __k < __n0; ++__k)
{
result_type __u;
do
__u = _M_b() - _M_b.min();
while (__u >= __y0);
__sum = __s0 * __sum + __u % __s0;
}
for (size_t __k = __n0; __k < __n; ++__k)
{
result_type __u;
do
__u = _M_b() - _M_b.min();
while (__u >= __y1);
__sum = __s1 * __sum + __u % __s1;
}
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>
template<typename _UniformRandomNumberGenerator>
typename uniform_int_distribution<_IntType>::result_type
uniform_int_distribution<_IntType>::
operator()(_UniformRandomNumberGenerator& __urng,
const param_type& __param)
{
typedef typename std::make_unsigned<typename
_UniformRandomNumberGenerator::result_type>::type __urngtype;
typedef typename std::make_unsigned<result_type>::type __utype;
typedef typename std::conditional<(sizeof(__urngtype)
> sizeof(__utype)),
__urngtype, __utype>::type __uctype;
const __uctype __urngmin = __urng.min();
const __uctype __urngmax = __urng.max();
const __uctype __urngrange = __urngmax - __urngmin;
const __uctype __urange
= __uctype(__param.b()) - __uctype(__param.a());
__uctype __ret;
if (__urngrange > __urange)
{
// downscaling
const __uctype __uerange = __urange + 1; // __urange can be zero
const __uctype __scaling = __urngrange / __uerange;
const __uctype __past = __uerange * __scaling;
do
__ret = __uctype(__urng()) - __urngmin;
while (__ret >= __past);
__ret /= __scaling;
}
else if (__urngrange < __urange)
{
// upscaling
/*
Note that every value in [0, urange]
can be written uniquely as
(urngrange + 1) * high + low
where
high in [0, urange / (urngrange + 1)]
and
low in [0, urngrange].
*/
__uctype __tmp; // wraparound control
do
{
const __uctype __uerngrange = __urngrange + 1;
__tmp = (__uerngrange * operator()
(__urng, param_type(0, __urange / __uerngrange)));
__ret = __tmp + (__uctype(__urng()) - __urngmin);
}
while (__ret > __urange || __ret < __tmp);
}
else
__ret = __uctype(__urng()) - __urngmin;
return __ret + __param.a();
}
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;
__is >> __a >> __b;
__x.param(typename uniform_int_distribution<_IntType>::
param_type(__a, __b));
__is.flags(__flags);
return __is;
}
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;
__is >> __a >> __b;
__x.param(typename uniform_real_distribution<_RealType>::
param_type(__a, __b));
__is.flags(__flags);
return __is;
}
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(__aurng()) / __param._M_log_1_p);
while (__cand >= __thr);
return result_type(__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;
__is >> __p;
__x.param(typename geometric_distribution<_IntType>::param_type(__p));
__is.flags(__flags);
return __is;
}
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<result_type>::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, 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;
__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(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;
// 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(__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;
else
{
const double __v = -std::log(__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,
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;
__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(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(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)
{
_IntType __x = 0;
double __sum = 0.0;
__detail::_Adaptor<_UniformRandomNumberGenerator, double>
__aurng(__urng);
do
{
const double __e = -std::log(__aurng());
__sum += __e / (__t - __x);
__x += 1;
}
while (__sum <= _M_param._M_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(__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(__aurng());
__x = std::floor(-__y);
__v = -__e - __n * __n / 2;
}
}
else if (__u <= __a123)
{
const double __e1 = -std::log(__aurng());
const double __e2 = -std::log(__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(__aurng());
const double __e2 = -std::log(__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));
__ret = _IntType(__x) + __z;
}
else
#endif
__ret = _M_waiting(__urng, __t);
if (__p12 != __p)
__ret = __t - __ret;
return __ret;
}
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;
__is >> __t >> __p >> __x._M_nd;
__x.param(typename binomial_distribution<_IntType>::
param_type(__t, __p));
__is.flags(__flags);
return __is;
}
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;
__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>
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;
__is >> __mean >> __stddev
>> __x._M_saved_available;
if (__x._M_saved_available)
__is >> __x._M_saved;
__x.param(typename normal_distribution<_RealType>::
param_type(__mean, __stddev));
__is.flags(__flags);
return __is;
}
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;
__is >> __m >> __s >> __x._M_nd;
__x.param(typename lognormal_distribution<_RealType>::
param_type(__m, __s));
__is.flags(__flags);
return __is;
}
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;
__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, 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;
__is >> __a >> __b;
__x.param(typename cauchy_distribution<_RealType>::
param_type(__a, __b));
__is.flags(__flags);
return __is;
}
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;
__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, 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;
__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) - 0.331 * __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, 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;
__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(__aurng()),
result_type(1) / __p.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;
__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(__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;
__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::__transform(_M_prob.begin(), _M_prob.end(), _M_prob.begin(),
std::bind2nd(std::divides<double>(), __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, 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;
}
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;
__is >> __n;
std::vector<double> __prob_vec;
__prob_vec.reserve(__n);
for (; __n != 0; --__n)
{
double __prob;
__is >> __prob;
__prob_vec.push_back(__prob);
}
__x.param(typename discrete_distribution<_IntType>::
param_type(__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::__transform(_M_den.begin(), _M_den.end(), _M_den.begin(),
std::bind2nd(std::divides<double>(), __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, 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;
__is >> __n;
std::vector<_RealType> __int_vec;
__int_vec.reserve(__n + 1);
for (size_t __i = 0; __i <= __n; ++__i)
{
_RealType __int;
__is >> __int;
__int_vec.push_back(__int);
}
std::vector<double> __den_vec;
__den_vec.reserve(__n);
for (size_t __i = 0; __i < __n; ++__i)
{
double __den;
__is >> __den;
__den_vec.push_back(__den);
}
__x.param(typename piecewise_constant_distribution<_RealType>::
param_type(__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::__transform(_M_den.begin(), _M_den.end(), _M_den.begin(),
std::bind2nd(std::divides<double>(), __sum));
// ... and partial sums...
__detail::__transform(_M_cp.begin(), _M_cp.end(), _M_cp.begin(),
std::bind2nd(std::divides<double>(), __sum));
// ... and slopes.
__detail::__transform(_M_m.begin(), _M_m.end(), _M_m.begin(),
std::bind2nd(std::divides<double>(), __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, 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;
__is >> __n;
std::vector<_RealType> __int_vec;
__int_vec.reserve(__n + 1);
for (size_t __i = 0; __i <= __n; ++__i)
{
_RealType __int;
__is >> __int;
__int_vec.push_back(__int);
}
std::vector<double> __den_vec;
__den_vec.reserve(__n + 1);
for (size_t __i = 0; __i <= __n; ++__i)
{
double __den;
__is >> __den;
__den_vec.push_back(__den);
}
__x.param(typename piecewise_linear_distribution<_RealType>::
param_type(__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(__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, 0u>(__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, 0u>(__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)
{
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);
size_t __k = std::max<size_t>(1UL, (__b + __log2r - 1UL) / __log2r);
_RealType __sum = _RealType(0);
_RealType __tmp = _RealType(1);
for (; __k != 0; --__k)
{
__sum += _RealType(__urng() - __urng.min()) * __tmp;
__tmp *= __r;
}
return __sum / __tmp;
}
_GLIBCXX_END_NAMESPACE_VERSION
} // namespace
#endif