random (class poisson_distribution<>): Add.
2006-08-14 Paolo Carlini <pcarlini@suse.de> * include/tr1/random (class poisson_distribution<>): Add. * include/tr1/random.tcc (poisson_distribution<>::operator(), operator<<(std::basic_ostream<>&, const poisson_distribution<>&), operator>>(std::basic_istream<>&, poisson_distribution<>&, poisson_distribution<>::poisson_distribution(const _RealType&)): Define. * testsuite/tr1/5_numerical_facilities/random/poisson_distribution/ requirements/typedefs.cc: New. * include/tr1/random.tcc (mersenne_twister<>::operator()): Tweak a bit for efficiency. * include/tr1/random.tcc (operator<<(std::basic_ostream<>&, const normal_distribution<>&), operator>>(std::basic_istream<>&, normal_distribution<>&)): Do not output _M_saved unnecessarily. * include/tr1/random: Trivial formatting fixes. * include/tr1/cmath: Likewise. From-SVN: r116149
This commit is contained in:
parent
e63d6886f4
commit
bbddd5d0c2
@ -1,3 +1,24 @@
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2006-08-14 Paolo Carlini <pcarlini@suse.de>
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* include/tr1/random (class poisson_distribution<>): Add.
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* include/tr1/random.tcc (poisson_distribution<>::operator(),
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operator<<(std::basic_ostream<>&, const poisson_distribution<>&),
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operator>>(std::basic_istream<>&, poisson_distribution<>&,
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poisson_distribution<>::poisson_distribution(const _RealType&)):
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Define.
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* testsuite/tr1/5_numerical_facilities/random/poisson_distribution/
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requirements/typedefs.cc: New.
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* include/tr1/random.tcc (mersenne_twister<>::operator()): Tweak
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a bit for efficiency.
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* include/tr1/random.tcc (operator<<(std::basic_ostream<>&,
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const normal_distribution<>&), operator>>(std::basic_istream<>&,
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normal_distribution<>&)): Do not output _M_saved unnecessarily.
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* include/tr1/random: Trivial formatting fixes.
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* include/tr1/cmath: Likewise.
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2006-08-11 Paolo Carlini <pcarlini@suse.de>
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* include/bits/stl_bvector.h (__fill_bvector(_Bit_iterator,
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@ -375,7 +375,7 @@ _GLIBCXX_BEGIN_NAMESPACE(tr1)
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std::__enable_if<typename std::tr1::__promote_2<_Tp, _Up>::__type,
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(std::__is_floating<_Tp>::__value
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|| std::__is_floating<_Up>::__value)>::__type
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atan2(_Tp __y, _Up __x)
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atan2(_Tp __y, _Up __x)
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{
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typedef typename std::tr1::__promote_2<_Tp, _Up>::__type __type;
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return std::atan2(__type(__y), __type(__x));
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@ -44,6 +44,7 @@
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#include <iosfwd>
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#include <limits>
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#include <tr1/type_traits>
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#include <tr1/cmath>
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#include <fstream>
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namespace std
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@ -1516,9 +1517,9 @@ _GLIBCXX_BEGIN_NAMESPACE(tr1)
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/**
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* Gets the next value in the Bernoullian sequence.
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*/
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template<class UniformRandomNumberGenerator>
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template<class _UniformRandomNumberGenerator>
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result_type
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operator()(UniformRandomNumberGenerator& __urng)
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operator()(_UniformRandomNumberGenerator& __urng)
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{
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if (__urng() < _M_p)
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return true;
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@ -1585,7 +1586,6 @@ _GLIBCXX_BEGIN_NAMESPACE(tr1)
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typedef _IntType result_type;
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// constructors and member function
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explicit
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geometric_distribution(const _RealType& __p = _RealType(0.5))
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: _M_p(__p), _M_log_p(std::log(_M_p))
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@ -1648,6 +1648,96 @@ _GLIBCXX_BEGIN_NAMESPACE(tr1)
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_RealType _M_log_p;
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};
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/**
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* @brief A discrete Poisson random number distribution.
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*
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* The formula for the poisson probability mass function is
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* @f$ p(i) = \frac{mean^i}{i!} e^{-mean} @f$ where @f$ mean @f$ is the
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* parameter of the distribution.
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*/
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template<typename _IntType = int, typename _RealType = double>
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class poisson_distribution;
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template<typename _IntType, typename _RealType,
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typename _CharT, typename _Traits>
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std::basic_ostream<_CharT, _Traits>&
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operator<<(std::basic_ostream<_CharT, _Traits>& __os,
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const poisson_distribution<_IntType, _RealType>& __x);
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template<typename _IntType, typename _RealType,
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typename _CharT, typename _Traits>
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std::basic_istream<_CharT, _Traits>&
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operator>>(std::basic_istream<_CharT, _Traits>& __is,
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poisson_distribution<_IntType, _RealType>& __x);
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template<typename _IntType, typename _RealType>
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class poisson_distribution
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{
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public:
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// types
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typedef _RealType input_type;
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typedef _IntType result_type;
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// constructors and member function
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explicit
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poisson_distribution(const _RealType& __mean = _RealType(1));
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/**
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* Gets the distribution parameter @p mean.
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*/
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_RealType
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mean() const
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{ return _M_mean; }
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void
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reset() { }
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template<class _UniformRandomNumberGenerator>
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result_type
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operator()(_UniformRandomNumberGenerator& __urng);
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/**
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* Inserts a %poisson_distribution random number distribution
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* @p __x into the output stream @p __os.
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*
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* @param __os An output stream.
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* @param __x A %poisson_distribution random number distribution.
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*
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* @returns The output stream with the state of @p __x inserted or in
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* an error state.
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*/
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template<typename _IntType1, typename _RealType1,
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typename _CharT, typename _Traits>
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friend std::basic_ostream<_CharT, _Traits>&
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operator<<(std::basic_ostream<_CharT, _Traits>& __os,
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const poisson_distribution<_IntType1, _RealType1>& __x);
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/**
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* Extracts a %poisson_distribution random number distribution
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* @p __x from the input stream @p __is.
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*
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* @param __is An input stream.
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* @param __x A %poisson_distribution random number generator engine.
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*
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* @returns The input stream with @p __x extracted or in an error state.
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*/
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template<typename _IntType1, typename _RealType1,
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typename _CharT, typename _Traits>
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friend std::basic_istream<_CharT, _Traits>&
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operator>>(std::basic_istream<_CharT, _Traits>& __is,
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poisson_distribution<_IntType1, _RealType1>& __x);
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protected:
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_RealType _M_mean;
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_RealType _M_lm_thr;
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#if _GLIBCXX_USE_C99_MATH_TR1
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_RealType _M_lfm, _M_sm, _M_d, _M_scx4, _M_2cx, _M_c2b, _M_cb;
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#endif
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bool _M_large;
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};
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/* @} */ // group tr1_random_distributions_discrete
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/**
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@ -285,13 +285,13 @@ _GLIBCXX_BEGIN_NAMESPACE(tr1)
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{
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const _UIntType __upper_mask = (~_UIntType()) << __r;
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const _UIntType __lower_mask = ~__upper_mask;
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const _UIntType __fx[2] = { 0, __a };
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for (int __k = 0; __k < (__n - __m); ++__k)
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{
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_UIntType __y = ((_M_x[__k] & __upper_mask)
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| (_M_x[__k + 1] & __lower_mask));
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_M_x[__k] = (_M_x[__k + __m] ^ (__y >> 1)
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^ ((__y & 0x01) ? __a : 0));
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_M_x[__k] = _M_x[__k + __m] ^ (__y >> 1) ^ __fx[__y & 0x01];
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}
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for (int __k = (__n - __m); __k < (__n - 1); ++__k)
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@ -299,13 +299,12 @@ _GLIBCXX_BEGIN_NAMESPACE(tr1)
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_UIntType __y = ((_M_x[__k] & __upper_mask)
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| (_M_x[__k + 1] & __lower_mask));
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_M_x[__k] = (_M_x[__k + (__m - __n)] ^ (__y >> 1)
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^ ((__y & 0x01) ? __a : 0));
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^ __fx[__y & 0x01]);
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}
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_UIntType __y = ((_M_x[__n - 1] & __upper_mask)
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| (_M_x[0] & __lower_mask));
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_M_x[__n - 1] = (_M_x[__m - 1] ^ (__y >> 1)
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^ ((__y & 0x01) ? __a : 0));
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_M_x[__n - 1] = _M_x[__m - 1] ^ (__y >> 1) ^ __fx[__y & 0x01];
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_M_p = 0;
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}
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@ -655,6 +654,194 @@ _GLIBCXX_BEGIN_NAMESPACE(tr1)
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}
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template<typename _IntType, typename _RealType>
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poisson_distribution<_IntType, _RealType>::
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poisson_distribution(const _RealType& __mean)
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: _M_mean(__mean), _M_large(false)
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{
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_GLIBCXX_DEBUG_ASSERT(_M_mean > 0.0);
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#if _GLIBCXX_USE_C99_MATH_TR1
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if (_M_mean >= 12)
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{
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_M_large = true;
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const _RealType __m = std::floor(_M_mean);
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_M_lm_thr = std::log(_M_mean);
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_M_lfm = std::tr1::lgamma(__m + 1);
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_M_sm = std::sqrt(__m);
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const _RealType __dx =
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std::sqrt(2 * __m
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* std::log(_RealType(40.743665431525205956834243423363677L)
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* __m));
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_M_d = std::tr1::round(std::max(_RealType(6),
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std::min(__m, __dx)));
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const _RealType __cx = 2 * (2 * __m + _M_d);
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const _RealType __cx4 = __cx / 4;
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_M_scx4 = std::sqrt(__cx4);
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_M_2cx = 2 / __cx;
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const _RealType __pi_2 = 1.5707963267948966192313216916397514L;
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_M_c2b = std::sqrt(__pi_2 * __cx4) * std::exp(_M_2cx);
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_M_cb = __cx * std::exp(-_M_d * _M_2cx * (1 + _M_d / 2)) / _M_d;
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}
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else
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#endif
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_M_lm_thr = std::exp(-_M_mean);
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}
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/**
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* A rejection algorithm when mean >= 12 and a simple method based
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* upon the multiplication of uniform random variates otherwise.
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* NB: The former is available only if _GLIBCXX_USE_C99_MATH_TR1
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* is defined.
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*
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* Reference:
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* Devroye, L. "Non-Uniform Random Variates Generation." Springer-Verlag,
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* New York, 1986, Ch. X, Sects. 3.3 & 3.4 (+ Errata!).
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*/
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template<typename _IntType, typename _RealType>
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template<class _UniformRandomNumberGenerator>
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typename poisson_distribution<_IntType, _RealType>::result_type
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poisson_distribution<_IntType, _RealType>::
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operator()(_UniformRandomNumberGenerator& __urng)
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{
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#if _GLIBCXX_USE_C99_MATH_TR1
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if (_M_large)
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{
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_RealType __x;
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const _RealType __m = std::floor(_M_mean);
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// sqrt(mu * pi / 2)
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const _RealType __c1 = (_M_sm
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* 1.2533141373155002512078826424055226L);
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const _RealType __c2 = _M_c2b + __c1;
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const _RealType __c3 = __c2 + 1;
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const _RealType __c4 = __c3 + 1;
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// c4 + e^(1 / 78)
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const _RealType __c5 = (__c4
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+ 1.0129030479320018583185514777512983L);
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const _RealType __c = _M_cb + __c5;
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const _RealType __cx = 2 * (2 * __m + _M_d);
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normal_distribution<_RealType> __nd;
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bool __keepgoing = true;
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do
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{
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const _RealType __u = __c * __urng();
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const _RealType __e = -std::log(__urng());
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_RealType __w = 0.0;
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if (__u <= __c1)
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{
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const _RealType __n = __nd(__urng);
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const _RealType __y = -std::abs(__n) * _M_sm - 1;
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__x = std::floor(__y);
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__w = -__n * __n / 2;
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if (__x < -__m)
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continue;
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}
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else if (__u <= __c2)
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{
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const _RealType __n = __nd(__urng);
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const _RealType __y = 1 + std::abs(__n) * _M_scx4;
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__x = std::ceil(__y);
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__w = __y * (2 - __y) * _M_2cx;
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if (__x > _M_d)
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continue;
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}
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else if (__u <= __c3)
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// XXX This case not in the book, nor in the Errata...
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__x = -1;
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else if (__u <= __c4)
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__x = 0;
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else if (__u <= __c5)
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__x = 1;
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else
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{
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const _RealType __v = -std::log(__urng());
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const _RealType __y = _M_d + __v * __cx / _M_d;
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__x = std::ceil(__y);
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__w = -_M_d * _M_2cx * (1 + __y / 2);
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}
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__keepgoing = (__w - __e - __x * _M_lm_thr
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> _M_lfm - std::tr1::lgamma(__x + __m + 1));
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} while (__keepgoing);
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return _IntType(std::tr1::round(__x + __m));
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}
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else
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#endif
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{
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_IntType __x = -1;
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_RealType __prod = 1.0;
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do
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{
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__prod *= __urng();
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__x += 1;
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}
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while (__prod > _M_lm_thr);
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return __x;
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}
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}
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template<typename _IntType, typename _RealType,
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typename _CharT, typename _Traits>
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std::basic_ostream<_CharT, _Traits>&
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operator<<(std::basic_ostream<_CharT, _Traits>& __os,
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const poisson_distribution<_IntType, _RealType>& __x)
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{
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const std::ios_base::fmtflags __flags = __os.flags();
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const _CharT __fill = __os.fill();
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const std::streamsize __precision = __os.precision();
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const _CharT __space = __os.widen(' ');
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__os.flags(std::ios_base::scientific | std::ios_base::left);
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__os.fill(__space);
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__os.precision(_Max_digits10<_RealType>::__value);
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__os << __x._M_large << __space << __x.mean()
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<< __space << __x._M_lm_thr;
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#if _GLIBCXX_USE_C99_MATH_TR1
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if (__x._M_large)
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__os << __space << __x._M_lfm << __space << __x._M_sm
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<< __space << __x._M_d << __space << __x._M_scx4
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<< __space << __x._M_2cx << __space << __x._M_c2b
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<< __space << __x._M_cb;
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#endif
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__os.flags(__flags);
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__os.fill(__fill);
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__os.precision(__precision);
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return __os;
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}
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template<typename _IntType, typename _RealType,
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typename _CharT, typename _Traits>
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std::basic_istream<_CharT, _Traits>&
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operator>>(std::basic_istream<_CharT, _Traits>& __is,
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poisson_distribution<_IntType, _RealType>& __x)
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{
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const std::ios_base::fmtflags __flags = __is.flags();
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__is.flags(std::ios_base::skipws);
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__is >> __x._M_large >> __x._M_mean >> __x._M_lm_thr;
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#if _GLIBCXX_USE_C99_MATH_TR1
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if (__x._M_large)
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__is >> __x._M_lfm >> __x._M_sm >> __x._M_d >> __x._M_scx4
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>> __x._M_2cx >> __x._M_c2b >> __x._M_cb;
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#endif
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__is.flags(__flags);
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return __is;
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}
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template<typename _RealType, typename _CharT, typename _Traits>
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std::basic_ostream<_CharT, _Traits>&
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operator<<(std::basic_ostream<_CharT, _Traits>& __os,
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@ -766,10 +953,11 @@ _GLIBCXX_BEGIN_NAMESPACE(tr1)
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__os.fill(__space);
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__os.precision(_Max_digits10<_RealType>::__value);
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__os << __x.mean() << __space
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<< __x.sigma() << __space
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<< __x._M_saved << __space
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<< __x._M_saved_available;
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__os << __x._M_saved_available << __space
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<< __x.mean() << __space
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<< __x.sigma();
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if (__x._M_saved_available)
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__os << __space << __x._M_saved;
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__os.flags(__flags);
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__os.fill(__fill);
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@ -785,8 +973,10 @@ _GLIBCXX_BEGIN_NAMESPACE(tr1)
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const std::ios_base::fmtflags __flags = __is.flags();
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__is.flags(std::ios_base::dec | std::ios_base::skipws);
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__is >> __x._M_mean >> __x._M_sigma
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>> __x._M_saved >> __x._M_saved_available;
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__is >> __x._M_saved_available >> __x._M_mean
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>> __x._M_sigma;
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if (__x._M_saved_available)
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__is >> __x._M_saved;
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__is.flags(__flags);
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return __is;
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|
@ -0,0 +1,37 @@
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// { dg-do compile }
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//
|
||||
// 2006-08-13 Paolo Carlini <pcarlini@suse.de>
|
||||
//
|
||||
// Copyright (C) 2006 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 2, 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.
|
||||
//
|
||||
// You should have received a copy of the GNU General Public License along
|
||||
// with this library; see the file COPYING. If not, write to the Free
|
||||
// Software Foundation, 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301,
|
||||
// USA.
|
||||
|
||||
// 5.1.7.4 Class template poisson_distribution [tr.rand.dist.pois]
|
||||
// 5.1.1 [7] Table 17
|
||||
|
||||
#include <tr1/random>
|
||||
|
||||
void
|
||||
test01()
|
||||
{
|
||||
using namespace std::tr1;
|
||||
|
||||
typedef poisson_distribution<int, double> test_type;
|
||||
|
||||
typedef test_type::input_type input_type;
|
||||
typedef test_type::result_type result_type;
|
||||
}
|
Loading…
Reference in New Issue
Block a user