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Unified Diff: gcc/libstdc++-v3/include/tr1_impl/random

Issue 3050029: [gcc] GCC 4.5.0=>4.5.1 (Closed) Base URL: ssh://git@gitrw.chromium.org:9222/nacl-toolchain.git
Patch Set: Created 10 years, 5 months ago
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Index: gcc/libstdc++-v3/include/tr1_impl/random
diff --git a/gcc/libstdc++-v3/include/tr1_impl/random b/gcc/libstdc++-v3/include/tr1_impl/random
deleted file mode 100644
index 0cf4dc4cdb45b74459f58bfa371792babffd32ad..0000000000000000000000000000000000000000
--- a/gcc/libstdc++-v3/include/tr1_impl/random
+++ /dev/null
@@ -1,2407 +0,0 @@
-// random number generation -*- C++ -*-
-
-// Copyright (C) 2007, 2008, 2009 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 tr1_impl/random
- * This is an internal header file, included by other library headers.
- * You should not attempt to use it directly.
- */
-
-namespace std
-{
-_GLIBCXX_BEGIN_NAMESPACE_TR1
-
- // [5.1] Random number generation
-
- /**
- * @defgroup tr1_random Random Number Generation
- * @ingroup numerics
- * A facility for generating random numbers on selected distributions.
- * @{
- */
-
- /*
- * Implementation-space details.
- */
- namespace __detail
- {
- template<typename _UIntType, int __w,
- bool = __w < std::numeric_limits<_UIntType>::digits>
- struct _Shift
- { static const _UIntType __value = 0; };
-
- template<typename _UIntType, int __w>
- struct _Shift<_UIntType, __w, true>
- { static const _UIntType __value = _UIntType(1) << __w; };
-
- template<typename _Tp, _Tp __a, _Tp __c, _Tp __m, bool>
- struct _Mod;
-
- // Dispatch based on modulus value to prevent divide-by-zero compile-time
- // errors when m == 0.
- template<typename _Tp, _Tp __a, _Tp __c, _Tp __m>
- inline _Tp
- __mod(_Tp __x)
- { return _Mod<_Tp, __a, __c, __m, __m == 0>::__calc(__x); }
-
- typedef __gnu_cxx::__conditional_type<(sizeof(unsigned) == 4),
- unsigned, unsigned long>::__type _UInt32Type;
-
- /*
- * An adaptor class for converting the output of any Generator into
- * the input for a specific Distribution.
- */
- template<typename _Engine, typename _Distribution>
- struct _Adaptor
- {
- typedef typename remove_reference<_Engine>::type _BEngine;
- typedef typename _BEngine::result_type _Engine_result_type;
- typedef typename _Distribution::input_type result_type;
-
- public:
- _Adaptor(const _Engine& __g)
- : _M_g(__g) { }
-
- result_type
- min() const
- {
- result_type __return_value;
- if (is_integral<_Engine_result_type>::value
- && is_integral<result_type>::value)
- __return_value = _M_g.min();
- else
- __return_value = result_type(0);
- return __return_value;
- }
-
- result_type
- max() const
- {
- result_type __return_value;
- if (is_integral<_Engine_result_type>::value
- && is_integral<result_type>::value)
- __return_value = _M_g.max();
- else if (!is_integral<result_type>::value)
- __return_value = result_type(1);
- else
- __return_value = std::numeric_limits<result_type>::max() - 1;
- return __return_value;
- }
-
- /*
- * Converts a value generated by the adapted random number generator
- * into a value in the input domain for the dependent random number
- * distribution.
- *
- * Because the type traits are compile time constants only the
- * appropriate clause of the if statements will actually be emitted
- * by the compiler.
- */
- result_type
- operator()()
- {
- result_type __return_value;
- if (is_integral<_Engine_result_type>::value
- && is_integral<result_type>::value)
- __return_value = _M_g();
- else if (!is_integral<_Engine_result_type>::value
- && !is_integral<result_type>::value)
- __return_value = result_type(_M_g() - _M_g.min())
- / result_type(_M_g.max() - _M_g.min());
- else if (is_integral<_Engine_result_type>::value
- && !is_integral<result_type>::value)
- __return_value = result_type(_M_g() - _M_g.min())
- / result_type(_M_g.max() - _M_g.min() + result_type(1));
- else
- __return_value = (((_M_g() - _M_g.min())
- / (_M_g.max() - _M_g.min()))
- * std::numeric_limits<result_type>::max());
- return __return_value;
- }
-
- private:
- _Engine _M_g;
- };
-
- // Specialization for _Engine*.
- template<typename _Engine, typename _Distribution>
- struct _Adaptor<_Engine*, _Distribution>
- {
- typedef typename _Engine::result_type _Engine_result_type;
- typedef typename _Distribution::input_type result_type;
-
- public:
- _Adaptor(_Engine* __g)
- : _M_g(__g) { }
-
- result_type
- min() const
- {
- result_type __return_value;
- if (is_integral<_Engine_result_type>::value
- && is_integral<result_type>::value)
- __return_value = _M_g->min();
- else
- __return_value = result_type(0);
- return __return_value;
- }
-
- result_type
- max() const
- {
- result_type __return_value;
- if (is_integral<_Engine_result_type>::value
- && is_integral<result_type>::value)
- __return_value = _M_g->max();
- else if (!is_integral<result_type>::value)
- __return_value = result_type(1);
- else
- __return_value = std::numeric_limits<result_type>::max() - 1;
- return __return_value;
- }
-
- result_type
- operator()()
- {
- result_type __return_value;
- if (is_integral<_Engine_result_type>::value
- && is_integral<result_type>::value)
- __return_value = (*_M_g)();
- else if (!is_integral<_Engine_result_type>::value
- && !is_integral<result_type>::value)
- __return_value = result_type((*_M_g)() - _M_g->min())
- / result_type(_M_g->max() - _M_g->min());
- else if (is_integral<_Engine_result_type>::value
- && !is_integral<result_type>::value)
- __return_value = result_type((*_M_g)() - _M_g->min())
- / result_type(_M_g->max() - _M_g->min() + result_type(1));
- else
- __return_value = ((((*_M_g)() - _M_g->min())
- / (_M_g->max() - _M_g->min()))
- * std::numeric_limits<result_type>::max());
- return __return_value;
- }
-
- private:
- _Engine* _M_g;
- };
- } // namespace __detail
-
- /**
- * Produces random numbers on a given distribution function using a
- * non-uniform random number generation engine.
- *
- * @todo the engine_value_type needs to be studied more carefully.
- */
- template<typename _Engine, typename _Dist>
- class variate_generator
- {
- // Concept requirements.
- __glibcxx_class_requires(_Engine, _CopyConstructibleConcept)
- // __glibcxx_class_requires(_Engine, _EngineConcept)
- // __glibcxx_class_requires(_Dist, _EngineConcept)
-
- public:
- typedef _Engine engine_type;
- typedef __detail::_Adaptor<_Engine, _Dist> engine_value_type;
- typedef _Dist distribution_type;
- typedef typename _Dist::result_type result_type;
-
- // tr1:5.1.1 table 5.1 requirement
- typedef typename __gnu_cxx::__enable_if<
- is_arithmetic<result_type>::value, result_type>::__type _IsValidType;
-
- /**
- * Constructs a variate generator with the uniform random number
- * generator @p __eng for the random distribution @p __dist.
- *
- * @throws Any exceptions which may thrown by the copy constructors of
- * the @p _Engine or @p _Dist objects.
- */
- variate_generator(engine_type __eng, distribution_type __dist)
- : _M_engine(__eng), _M_dist(__dist) { }
-
- /**
- * Gets the next generated value on the distribution.
- */
- result_type
- operator()()
- { return _M_dist(_M_engine); }
-
- /**
- * WTF?
- */
- template<typename _Tp>
- result_type
- operator()(_Tp __value)
- { return _M_dist(_M_engine, __value); }
-
- /**
- * Gets a reference to the underlying uniform random number generator
- * object.
- */
- engine_value_type&
- engine()
- { return _M_engine; }
-
- /**
- * Gets a const reference to the underlying uniform random number
- * generator object.
- */
- const engine_value_type&
- engine() const
- { return _M_engine; }
-
- /**
- * Gets a reference to the underlying random distribution.
- */
- distribution_type&
- distribution()
- { return _M_dist; }
-
- /**
- * Gets a const reference to the underlying random distribution.
- */
- const distribution_type&
- distribution() const
- { return _M_dist; }
-
- /**
- * Gets the closed lower bound of the distribution interval.
- */
- result_type
- min() const
- { return this->distribution().min(); }
-
- /**
- * Gets the closed upper bound of the distribution interval.
- */
- result_type
- max() const
- { return this->distribution().max(); }
-
- private:
- engine_value_type _M_engine;
- distribution_type _M_dist;
- };
-
-
- /**
- * @defgroup tr1_random_generators Random Number Generators
- * @ingroup tr1_random
- *
- * These classes define objects which provide random or pseudorandom
- * numbers, either from a discrete or a continuous interval. The
- * random number generator supplied as a part of this library are
- * all uniform random number generators which provide a sequence of
- * random number uniformly distributed over their range.
- *
- * A number generator is a function object with an operator() that
- * takes zero arguments and returns a number.
- *
- * A compliant random number generator must satisfy the following
- * requirements. <table border=1 cellpadding=10 cellspacing=0>
- * <caption align=top>Random Number Generator Requirements</caption>
- * <tr><td>To be documented.</td></tr> </table>
- *
- * @{
- */
-
- /**
- * @brief A model of a linear congruential random number generator.
- *
- * A random number generator that produces pseudorandom numbers using the
- * linear function @f$x_{i+1}\leftarrow(ax_{i} + c) \bmod m @f$.
- *
- * The template parameter @p _UIntType must be an unsigned integral type
- * large enough to store values up to (__m-1). If the template parameter
- * @p __m is 0, the modulus @p __m used is
- * std::numeric_limits<_UIntType>::max() plus 1. Otherwise, the template
- * parameters @p __a and @p __c must be less than @p __m.
- *
- * The size of the state is @f$ 1 @f$.
- */
- template<class _UIntType, _UIntType __a, _UIntType __c, _UIntType __m>
- class linear_congruential
- {
- __glibcxx_class_requires(_UIntType, _UnsignedIntegerConcept)
- // __glibcpp_class_requires(__a < __m && __c < __m)
-
- public:
- /** The type of the generated random value. */
- typedef _UIntType result_type;
-
- /** The multiplier. */
- static const _UIntType multiplier = __a;
- /** An increment. */
- static const _UIntType increment = __c;
- /** The modulus. */
- static const _UIntType modulus = __m;
-
- /**
- * Constructs a %linear_congruential random number generator engine with
- * seed @p __s. The default seed value is 1.
- *
- * @param __s The initial seed value.
- */
- explicit
- linear_congruential(unsigned long __x0 = 1)
- { this->seed(__x0); }
-
- /**
- * Constructs a %linear_congruential random number generator engine
- * seeded from the generator function @p __g.
- *
- * @param __g The seed generator function.
- */
- template<class _Gen>
- linear_congruential(_Gen& __g)
- { this->seed(__g); }
-
- /**
- * Reseeds the %linear_congruential random number generator engine
- * sequence to the seed @g __s.
- *
- * @param __s The new seed.
- */
- void
- seed(unsigned long __s = 1);
-
- /**
- * Reseeds the %linear_congruential random number generator engine
- * sequence using values from the generator function @p __g.
- *
- * @param __g the seed generator function.
- */
- template<class _Gen>
- void
- seed(_Gen& __g)
- { seed(__g, typename is_fundamental<_Gen>::type()); }
-
- /**
- * Gets the smallest possible value in the output range.
- *
- * The minimum depends on the @p __c parameter: if it is zero, the
- * minimum generated must be > 0, otherwise 0 is allowed.
- */
- result_type
- min() const
- { return (__detail::__mod<_UIntType, 1, 0, __m>(__c) == 0) ? 1 : 0; }
-
- /**
- * Gets the largest possible value in the output range.
- */
- result_type
- max() const
- { return __m - 1; }
-
- /**
- * Gets the next random number in the sequence.
- */
- result_type
- operator()();
-
- /**
- * Compares two linear congruential random number generator
- * objects of the same type for equality.
- *
- * @param __lhs A linear congruential random number generator object.
- * @param __rhs Another linear congruential random number generator obj.
- *
- * @returns true if the two objects are equal, false otherwise.
- */
- friend bool
- operator==(const linear_congruential& __lhs,
- const linear_congruential& __rhs)
- { return __lhs._M_x == __rhs._M_x; }
-
- /**
- * Compares two linear congruential random number generator
- * objects of the same type for inequality.
- *
- * @param __lhs A linear congruential random number generator object.
- * @param __rhs Another linear congruential random number generator obj.
- *
- * @returns true if the two objects are not equal, false otherwise.
- */
- friend bool
- operator!=(const linear_congruential& __lhs,
- const linear_congruential& __rhs)
- { return !(__lhs == __rhs); }
-
- /**
- * Writes the textual representation of the state x(i) of x to @p __os.
- *
- * @param __os The output stream.
- * @param __lcr A % linear_congruential random number generator.
- * @returns __os.
- */
- template<class _UIntType1, _UIntType1 __a1, _UIntType1 __c1,
- _UIntType1 __m1,
- typename _CharT, typename _Traits>
- friend std::basic_ostream<_CharT, _Traits>&
- operator<<(std::basic_ostream<_CharT, _Traits>& __os,
- const linear_congruential<_UIntType1, __a1, __c1,
- __m1>& __lcr);
-
- /**
- * Sets the state of the engine by reading its textual
- * representation from @p __is.
- *
- * The textual representation must have been previously written using an
- * output stream whose imbued locale and whose type's template
- * specialization arguments _CharT and _Traits were the same as those of
- * @p __is.
- *
- * @param __is The input stream.
- * @param __lcr A % linear_congruential random number generator.
- * @returns __is.
- */
- template<class _UIntType1, _UIntType1 __a1, _UIntType1 __c1,
- _UIntType1 __m1,
- typename _CharT, typename _Traits>
- friend std::basic_istream<_CharT, _Traits>&
- operator>>(std::basic_istream<_CharT, _Traits>& __is,
- linear_congruential<_UIntType1, __a1, __c1, __m1>& __lcr);
-
- private:
- template<class _Gen>
- void
- seed(_Gen& __g, true_type)
- { return seed(static_cast<unsigned long>(__g)); }
-
- template<class _Gen>
- void
- seed(_Gen& __g, false_type);
-
- _UIntType _M_x;
- };
-
- /**
- * The classic Minimum Standard rand0 of Lewis, Goodman, and Miller.
- */
- typedef linear_congruential<unsigned long, 16807, 0, 2147483647> minstd_rand0;
-
- /**
- * An alternative LCR (Lehmer Generator function) .
- */
- typedef linear_congruential<unsigned long, 48271, 0, 2147483647> minstd_rand;
-
-
- /**
- * A generalized feedback shift register discrete random number generator.
- *
- * This algorithm avoids multiplication and division and is designed to be
- * friendly to a pipelined architecture. If the parameters are chosen
- * correctly, this generator will produce numbers with a very long period and
- * fairly good apparent entropy, although still not cryptographically strong.
- *
- * The best way to use this generator is with the predefined mt19937 class.
- *
- * This algorithm was originally invented by Makoto Matsumoto and
- * Takuji Nishimura.
- *
- * @var word_size The number of bits in each element of the state vector.
- * @var state_size The degree of recursion.
- * @var shift_size The period parameter.
- * @var mask_bits The separation point bit index.
- * @var parameter_a The last row of the twist matrix.
- * @var output_u The first right-shift tempering matrix parameter.
- * @var output_s The first left-shift tempering matrix parameter.
- * @var output_b The first left-shift tempering matrix mask.
- * @var output_t The second left-shift tempering matrix parameter.
- * @var output_c The second left-shift tempering matrix mask.
- * @var output_l The second right-shift tempering matrix parameter.
- */
- template<class _UIntType, int __w, int __n, int __m, int __r,
- _UIntType __a, int __u, int __s, _UIntType __b, int __t,
- _UIntType __c, int __l>
- class mersenne_twister
- {
- __glibcxx_class_requires(_UIntType, _UnsignedIntegerConcept)
-
- public:
- // types
- typedef _UIntType result_type;
-
- // parameter values
- static const int word_size = __w;
- static const int state_size = __n;
- static const int shift_size = __m;
- static const int mask_bits = __r;
- static const _UIntType parameter_a = __a;
- static const int output_u = __u;
- static const int output_s = __s;
- static const _UIntType output_b = __b;
- static const int output_t = __t;
- static const _UIntType output_c = __c;
- static const int output_l = __l;
-
- // constructors and member function
- mersenne_twister()
- { seed(); }
-
- explicit
- mersenne_twister(unsigned long __value)
- { seed(__value); }
-
- template<class _Gen>
- mersenne_twister(_Gen& __g)
- { seed(__g); }
-
- void
- seed()
- { seed(5489UL); }
-
- void
- seed(unsigned long __value);
-
- template<class _Gen>
- void
- seed(_Gen& __g)
- { seed(__g, typename is_fundamental<_Gen>::type()); }
-
- result_type
- min() const
- { return 0; };
-
- result_type
- max() const
- { return __detail::_Shift<_UIntType, __w>::__value - 1; }
-
- result_type
- operator()();
-
- /**
- * Compares two % mersenne_twister random number generator objects of
- * the same type for equality.
- *
- * @param __lhs A % mersenne_twister random number generator object.
- * @param __rhs Another % mersenne_twister random number generator
- * object.
- *
- * @returns true if the two objects are equal, false otherwise.
- */
- friend bool
- operator==(const mersenne_twister& __lhs,
- const mersenne_twister& __rhs)
- { return std::equal(__lhs._M_x, __lhs._M_x + state_size, __rhs._M_x); }
-
- /**
- * Compares two % mersenne_twister random number generator objects of
- * the same type for inequality.
- *
- * @param __lhs A % mersenne_twister random number generator object.
- * @param __rhs Another % mersenne_twister random number generator
- * object.
- *
- * @returns true if the two objects are not equal, false otherwise.
- */
- friend bool
- operator!=(const mersenne_twister& __lhs,
- const mersenne_twister& __rhs)
- { return !(__lhs == __rhs); }
-
- /**
- * Inserts the current state of a % mersenne_twister random number
- * generator engine @p __x into the output stream @p __os.
- *
- * @param __os An output stream.
- * @param __x A % mersenne_twister random number generator engine.
- *
- * @returns The output stream with the state of @p __x inserted or in
- * an error state.
- */
- template<class _UIntType1, int __w1, int __n1, int __m1, int __r1,
- _UIntType1 __a1, int __u1, int __s1, _UIntType1 __b1, int __t1,
- _UIntType1 __c1, int __l1,
- typename _CharT, typename _Traits>
- friend std::basic_ostream<_CharT, _Traits>&
- operator<<(std::basic_ostream<_CharT, _Traits>& __os,
- const mersenne_twister<_UIntType1, __w1, __n1, __m1, __r1,
- __a1, __u1, __s1, __b1, __t1, __c1, __l1>& __x);
-
- /**
- * Extracts the current state of a % mersenne_twister random number
- * generator engine @p __x from the input stream @p __is.
- *
- * @param __is An input stream.
- * @param __x A % mersenne_twister random number generator engine.
- *
- * @returns The input stream with the state of @p __x extracted or in
- * an error state.
- */
- template<class _UIntType1, int __w1, int __n1, int __m1, int __r1,
- _UIntType1 __a1, int __u1, int __s1, _UIntType1 __b1, int __t1,
- _UIntType1 __c1, int __l1,
- typename _CharT, typename _Traits>
- friend std::basic_istream<_CharT, _Traits>&
- operator>>(std::basic_istream<_CharT, _Traits>& __is,
- mersenne_twister<_UIntType1, __w1, __n1, __m1, __r1,
- __a1, __u1, __s1, __b1, __t1, __c1, __l1>& __x);
-
- private:
- template<class _Gen>
- void
- seed(_Gen& __g, true_type)
- { return seed(static_cast<unsigned long>(__g)); }
-
- template<class _Gen>
- void
- seed(_Gen& __g, false_type);
-
- _UIntType _M_x[state_size];
- int _M_p;
- };
-
- /**
- * The classic Mersenne Twister.
- *
- * Reference:
- * M. Matsumoto and T. Nishimura, "Mersenne Twister: A 623-Dimensionally
- * Equidistributed Uniform Pseudo-Random Number Generator", ACM Transactions
- * on Modeling and Computer Simulation, Vol. 8, No. 1, January 1998, pp 3-30.
- */
- typedef mersenne_twister<
- unsigned long, 32, 624, 397, 31,
- 0x9908b0dful, 11, 7,
- 0x9d2c5680ul, 15,
- 0xefc60000ul, 18
- > mt19937;
-
-
- /**
- * @brief The Marsaglia-Zaman generator.
- *
- * This is a model of a Generalized Fibonacci discrete random number
- * generator, sometimes referred to as the SWC generator.
- *
- * A discrete random number generator that produces pseudorandom
- * numbers using @f$x_{i}\leftarrow(x_{i - s} - x_{i - r} -
- * carry_{i-1}) \bmod m @f$.
- *
- * The size of the state is @f$ r @f$
- * and the maximum period of the generator is @f$ m^r - m^s -1 @f$.
- *
- * N1688[4.13] says "the template parameter _IntType shall denote an integral
- * type large enough to store values up to m."
- *
- * @var _M_x The state of the generator. This is a ring buffer.
- * @var _M_carry The carry.
- * @var _M_p Current index of x(i - r).
- */
- template<typename _IntType, _IntType __m, int __s, int __r>
- class subtract_with_carry
- {
- __glibcxx_class_requires(_IntType, _IntegerConcept)
-
- public:
- /** The type of the generated random value. */
- typedef _IntType result_type;
-
- // parameter values
- static const _IntType modulus = __m;
- static const int long_lag = __r;
- static const int short_lag = __s;
-
- /**
- * Constructs a default-initialized % subtract_with_carry random number
- * generator.
- */
- subtract_with_carry()
- { this->seed(); }
-
- /**
- * Constructs an explicitly seeded % subtract_with_carry random number
- * generator.
- */
- explicit
- subtract_with_carry(unsigned long __value)
- { this->seed(__value); }
-
- /**
- * Constructs a %subtract_with_carry random number generator engine
- * seeded from the generator function @p __g.
- *
- * @param __g The seed generator function.
- */
- template<class _Gen>
- subtract_with_carry(_Gen& __g)
- { this->seed(__g); }
-
- /**
- * Seeds the initial state @f$ x_0 @f$ of the random number generator.
- *
- * N1688[4.19] modifies this as follows. If @p __value == 0,
- * sets value to 19780503. In any case, with a linear
- * congruential generator lcg(i) having parameters @f$ m_{lcg} =
- * 2147483563, a_{lcg} = 40014, c_{lcg} = 0, and lcg(0) = value
- * @f$, sets @f$ x_{-r} \dots x_{-1} @f$ to @f$ lcg(1) \bmod m
- * \dots lcg(r) \bmod m @f$ respectively. If @f$ x_{-1} = 0 @f$
- * set carry to 1, otherwise sets carry to 0.
- */
- void
- seed(unsigned long __value = 19780503);
-
- /**
- * Seeds the initial state @f$ x_0 @f$ of the % subtract_with_carry
- * random number generator.
- */
- template<class _Gen>
- void
- seed(_Gen& __g)
- { seed(__g, typename is_fundamental<_Gen>::type()); }
-
- /**
- * Gets the inclusive minimum value of the range of random integers
- * returned by this generator.
- */
- result_type
- min() const
- { return 0; }
-
- /**
- * Gets the inclusive maximum value of the range of random integers
- * returned by this generator.
- */
- result_type
- max() const
- { return this->modulus - 1; }
-
- /**
- * Gets the next random number in the sequence.
- */
- result_type
- operator()();
-
- /**
- * Compares two % subtract_with_carry random number generator objects of
- * the same type for equality.
- *
- * @param __lhs A % subtract_with_carry random number generator object.
- * @param __rhs Another % subtract_with_carry random number generator
- * object.
- *
- * @returns true if the two objects are equal, false otherwise.
- */
- friend bool
- operator==(const subtract_with_carry& __lhs,
- const subtract_with_carry& __rhs)
- { return std::equal(__lhs._M_x, __lhs._M_x + long_lag, __rhs._M_x); }
-
- /**
- * Compares two % subtract_with_carry random number generator objects of
- * the same type for inequality.
- *
- * @param __lhs A % subtract_with_carry random number generator object.
- * @param __rhs Another % subtract_with_carry random number generator
- * object.
- *
- * @returns true if the two objects are not equal, false otherwise.
- */
- friend bool
- operator!=(const subtract_with_carry& __lhs,
- const subtract_with_carry& __rhs)
- { return !(__lhs == __rhs); }
-
- /**
- * Inserts the current state of a % subtract_with_carry random number
- * generator engine @p __x into the output stream @p __os.
- *
- * @param __os An output stream.
- * @param __x A % subtract_with_carry random number generator engine.
- *
- * @returns The output stream with the state of @p __x inserted or in
- * an error state.
- */
- template<typename _IntType1, _IntType1 __m1, int __s1, int __r1,
- typename _CharT, typename _Traits>
- friend std::basic_ostream<_CharT, _Traits>&
- operator<<(std::basic_ostream<_CharT, _Traits>& __os,
- const subtract_with_carry<_IntType1, __m1, __s1,
- __r1>& __x);
-
- /**
- * Extracts the current state of a % subtract_with_carry random number
- * generator engine @p __x from the input stream @p __is.
- *
- * @param __is An input stream.
- * @param __x A % subtract_with_carry random number generator engine.
- *
- * @returns The input stream with the state of @p __x extracted or in
- * an error state.
- */
- template<typename _IntType1, _IntType1 __m1, int __s1, int __r1,
- typename _CharT, typename _Traits>
- friend std::basic_istream<_CharT, _Traits>&
- operator>>(std::basic_istream<_CharT, _Traits>& __is,
- subtract_with_carry<_IntType1, __m1, __s1, __r1>& __x);
-
- private:
- template<class _Gen>
- void
- seed(_Gen& __g, true_type)
- { return seed(static_cast<unsigned long>(__g)); }
-
- template<class _Gen>
- void
- seed(_Gen& __g, false_type);
-
- typedef typename __gnu_cxx::__add_unsigned<_IntType>::__type _UIntType;
-
- _UIntType _M_x[long_lag];
- _UIntType _M_carry;
- int _M_p;
- };
-
-
- /**
- * @brief The Marsaglia-Zaman generator (floats version).
- *
- * @var _M_x The state of the generator. This is a ring buffer.
- * @var _M_carry The carry.
- * @var _M_p Current index of x(i - r).
- * @var _M_npows Precomputed negative powers of 2.
- */
- template<typename _RealType, int __w, int __s, int __r>
- class subtract_with_carry_01
- {
- public:
- /** The type of the generated random value. */
- typedef _RealType result_type;
-
- // parameter values
- static const int word_size = __w;
- static const int long_lag = __r;
- static const int short_lag = __s;
-
- /**
- * Constructs a default-initialized % subtract_with_carry_01 random
- * number generator.
- */
- subtract_with_carry_01()
- {
- this->seed();
- _M_initialize_npows();
- }
-
- /**
- * Constructs an explicitly seeded % subtract_with_carry_01 random number
- * generator.
- */
- explicit
- subtract_with_carry_01(unsigned long __value)
- {
- this->seed(__value);
- _M_initialize_npows();
- }
-
- /**
- * Constructs a % subtract_with_carry_01 random number generator engine
- * seeded from the generator function @p __g.
- *
- * @param __g The seed generator function.
- */
- template<class _Gen>
- subtract_with_carry_01(_Gen& __g)
- {
- this->seed(__g);
- _M_initialize_npows();
- }
-
- /**
- * Seeds the initial state @f$ x_0 @f$ of the random number generator.
- */
- void
- seed(unsigned long __value = 19780503);
-
- /**
- * Seeds the initial state @f$ x_0 @f$ of the % subtract_with_carry_01
- * random number generator.
- */
- template<class _Gen>
- void
- seed(_Gen& __g)
- { seed(__g, typename is_fundamental<_Gen>::type()); }
-
- /**
- * Gets the minimum value of the range of random floats
- * returned by this generator.
- */
- result_type
- min() const
- { return 0.0; }
-
- /**
- * Gets the maximum value of the range of random floats
- * returned by this generator.
- */
- result_type
- max() const
- { return 1.0; }
-
- /**
- * Gets the next random number in the sequence.
- */
- result_type
- operator()();
-
- /**
- * Compares two % subtract_with_carry_01 random number generator objects
- * of the same type for equality.
- *
- * @param __lhs A % subtract_with_carry_01 random number
- * generator object.
- * @param __rhs Another % subtract_with_carry_01 random number generator
- * object.
- *
- * @returns true if the two objects are equal, false otherwise.
- */
- friend bool
- operator==(const subtract_with_carry_01& __lhs,
- const subtract_with_carry_01& __rhs)
- {
- for (int __i = 0; __i < long_lag; ++__i)
- if (!std::equal(__lhs._M_x[__i], __lhs._M_x[__i] + __n,
- __rhs._M_x[__i]))
- return false;
- return true;
- }
-
- /**
- * Compares two % subtract_with_carry_01 random number generator objects
- * of the same type for inequality.
- *
- * @param __lhs A % subtract_with_carry_01 random number
- * generator object.
- *
- * @param __rhs Another % subtract_with_carry_01 random number generator
- * object.
- *
- * @returns true if the two objects are not equal, false otherwise.
- */
- friend bool
- operator!=(const subtract_with_carry_01& __lhs,
- const subtract_with_carry_01& __rhs)
- { return !(__lhs == __rhs); }
-
- /**
- * Inserts the current state of a % subtract_with_carry_01 random number
- * generator engine @p __x into the output stream @p __os.
- *
- * @param __os An output stream.
- * @param __x A % subtract_with_carry_01 random number generator engine.
- *
- * @returns The output stream with the state of @p __x inserted or in
- * an error state.
- */
- template<typename _RealType1, int __w1, int __s1, int __r1,
- typename _CharT, typename _Traits>
- friend std::basic_ostream<_CharT, _Traits>&
- operator<<(std::basic_ostream<_CharT, _Traits>& __os,
- const subtract_with_carry_01<_RealType1, __w1, __s1,
- __r1>& __x);
-
- /**
- * Extracts the current state of a % subtract_with_carry_01 random number
- * generator engine @p __x from the input stream @p __is.
- *
- * @param __is An input stream.
- * @param __x A % subtract_with_carry_01 random number generator engine.
- *
- * @returns The input stream with the state of @p __x extracted or in
- * an error state.
- */
- template<typename _RealType1, int __w1, int __s1, int __r1,
- typename _CharT, typename _Traits>
- friend std::basic_istream<_CharT, _Traits>&
- operator>>(std::basic_istream<_CharT, _Traits>& __is,
- subtract_with_carry_01<_RealType1, __w1, __s1, __r1>& __x);
-
- private:
- template<class _Gen>
- void
- seed(_Gen& __g, true_type)
- { return seed(static_cast<unsigned long>(__g)); }
-
- template<class _Gen>
- void
- seed(_Gen& __g, false_type);
-
- void
- _M_initialize_npows();
-
- static const int __n = (__w + 31) / 32;
-
- typedef __detail::_UInt32Type _UInt32Type;
- _UInt32Type _M_x[long_lag][__n];
- _RealType _M_npows[__n];
- _UInt32Type _M_carry;
- int _M_p;
- };
-
- typedef subtract_with_carry_01<float, 24, 10, 24> ranlux_base_01;
-
- // _GLIBCXX_RESOLVE_LIB_DEFECTS
- // 508. Bad parameters for ranlux64_base_01.
- typedef subtract_with_carry_01<double, 48, 5, 12> ranlux64_base_01;
-
-
- /**
- * Produces random numbers from some base engine by discarding blocks of
- * data.
- *
- * 0 <= @p __r <= @p __p
- */
- template<class _UniformRandomNumberGenerator, int __p, int __r>
- class discard_block
- {
- // __glibcxx_class_requires(typename base_type::result_type,
- // ArithmeticTypeConcept)
-
- public:
- /** The type of the underlying generator engine. */
- typedef _UniformRandomNumberGenerator base_type;
- /** The type of the generated random value. */
- typedef typename base_type::result_type result_type;
-
- // parameter values
- static const int block_size = __p;
- static const int used_block = __r;
-
- /**
- * Constructs a default %discard_block engine.
- *
- * The underlying engine is default constructed as well.
- */
- discard_block()
- : _M_n(0) { }
-
- /**
- * Copy constructs a %discard_block engine.
- *
- * Copies an existing base class random number generator.
- * @param rng An existing (base class) engine object.
- */
- explicit
- discard_block(const base_type& __rng)
- : _M_b(__rng), _M_n(0) { }
-
- /**
- * Seed constructs a %discard_block engine.
- *
- * Constructs the underlying generator engine seeded with @p __s.
- * @param __s A seed value for the base class engine.
- */
- explicit
- discard_block(unsigned long __s)
- : _M_b(__s), _M_n(0) { }
-
- /**
- * Generator construct a %discard_block engine.
- *
- * @param __g A seed generator function.
- */
- template<class _Gen>
- discard_block(_Gen& __g)
- : _M_b(__g), _M_n(0) { }
-
- /**
- * Reseeds the %discard_block object with the default seed for the
- * underlying base class generator engine.
- */
- void seed()
- {
- _M_b.seed();
- _M_n = 0;
- }
-
- /**
- * Reseeds the %discard_block object with the given seed generator
- * function.
- * @param __g A seed generator function.
- */
- template<class _Gen>
- void seed(_Gen& __g)
- {
- _M_b.seed(__g);
- _M_n = 0;
- }
-
- /**
- * Gets a const reference to the underlying generator engine object.
- */
- const base_type&
- base() const
- { return _M_b; }
-
- /**
- * Gets the minimum value in the generated random number range.
- */
- result_type
- min() const
- { return _M_b.min(); }
-
- /**
- * Gets the maximum value in the generated random number range.
- */
- result_type
- max() const
- { return _M_b.max(); }
-
- /**
- * Gets the next value in the generated random number sequence.
- */
- result_type
- operator()();
-
- /**
- * Compares two %discard_block random number generator objects of
- * the same type for equality.
- *
- * @param __lhs A %discard_block random number generator object.
- * @param __rhs Another %discard_block random number generator
- * object.
- *
- * @returns true if the two objects are equal, false otherwise.
- */
- friend bool
- operator==(const discard_block& __lhs, const discard_block& __rhs)
- { return (__lhs._M_b == __rhs._M_b) && (__lhs._M_n == __rhs._M_n); }
-
- /**
- * Compares two %discard_block random number generator objects of
- * the same type for inequality.
- *
- * @param __lhs A %discard_block random number generator object.
- * @param __rhs Another %discard_block random number generator
- * object.
- *
- * @returns true if the two objects are not equal, false otherwise.
- */
- friend bool
- operator!=(const discard_block& __lhs, const discard_block& __rhs)
- { return !(__lhs == __rhs); }
-
- /**
- * Inserts the current state of a %discard_block random number
- * generator engine @p __x into the output stream @p __os.
- *
- * @param __os An output stream.
- * @param __x A %discard_block random number generator engine.
- *
- * @returns The output stream with the state of @p __x inserted or in
- * an error state.
- */
- template<class _UniformRandomNumberGenerator1, int __p1, int __r1,
- typename _CharT, typename _Traits>
- friend std::basic_ostream<_CharT, _Traits>&
- operator<<(std::basic_ostream<_CharT, _Traits>& __os,
- const discard_block<_UniformRandomNumberGenerator1,
- __p1, __r1>& __x);
-
- /**
- * Extracts the current state of a % subtract_with_carry random number
- * generator engine @p __x from the input stream @p __is.
- *
- * @param __is An input stream.
- * @param __x A %discard_block random number generator engine.
- *
- * @returns The input stream with the state of @p __x extracted or in
- * an error state.
- */
- template<class _UniformRandomNumberGenerator1, int __p1, int __r1,
- typename _CharT, typename _Traits>
- friend std::basic_istream<_CharT, _Traits>&
- operator>>(std::basic_istream<_CharT, _Traits>& __is,
- discard_block<_UniformRandomNumberGenerator1,
- __p1, __r1>& __x);
-
- private:
- base_type _M_b;
- int _M_n;
- };
-
-
- /**
- * James's luxury-level-3 integer adaptation of Luescher's generator.
- */
- typedef discard_block<
- subtract_with_carry<unsigned long, (1UL << 24), 10, 24>,
- 223,
- 24
- > ranlux3;
-
- /**
- * James's luxury-level-4 integer adaptation of Luescher's generator.
- */
- typedef discard_block<
- subtract_with_carry<unsigned long, (1UL << 24), 10, 24>,
- 389,
- 24
- > ranlux4;
-
- typedef discard_block<
- subtract_with_carry_01<float, 24, 10, 24>,
- 223,
- 24
- > ranlux3_01;
-
- typedef discard_block<
- subtract_with_carry_01<float, 24, 10, 24>,
- 389,
- 24
- > ranlux4_01;
-
-
- /**
- * A random number generator adaptor class that combines two random number
- * generator engines into a single output sequence.
- */
- template<class _UniformRandomNumberGenerator1, int __s1,
- class _UniformRandomNumberGenerator2, int __s2>
- class xor_combine
- {
- // __glibcxx_class_requires(typename _UniformRandomNumberGenerator1::
- // result_type, ArithmeticTypeConcept)
- // __glibcxx_class_requires(typename _UniformRandomNumberGenerator2::
- // result_type, ArithmeticTypeConcept)
-
- public:
- /** The type of the first underlying generator engine. */
- typedef _UniformRandomNumberGenerator1 base1_type;
- /** The type of the second underlying generator engine. */
- typedef _UniformRandomNumberGenerator2 base2_type;
-
- private:
- typedef typename base1_type::result_type _Result_type1;
- typedef typename base2_type::result_type _Result_type2;
-
- public:
- /** The type of the generated random value. */
- typedef typename __gnu_cxx::__conditional_type<(sizeof(_Result_type1)
- > sizeof(_Result_type2)),
- _Result_type1, _Result_type2>::__type result_type;
-
- // parameter values
- static const int shift1 = __s1;
- static const int shift2 = __s2;
-
- // constructors and member function
- xor_combine()
- : _M_b1(), _M_b2()
- { _M_initialize_max(); }
-
- xor_combine(const base1_type& __rng1, const base2_type& __rng2)
- : _M_b1(__rng1), _M_b2(__rng2)
- { _M_initialize_max(); }
-
- xor_combine(unsigned long __s)
- : _M_b1(__s), _M_b2(__s + 1)
- { _M_initialize_max(); }
-
- template<class _Gen>
- xor_combine(_Gen& __g)
- : _M_b1(__g), _M_b2(__g)
- { _M_initialize_max(); }
-
- void
- seed()
- {
- _M_b1.seed();
- _M_b2.seed();
- }
-
- template<class _Gen>
- void
- seed(_Gen& __g)
- {
- _M_b1.seed(__g);
- _M_b2.seed(__g);
- }
-
- const base1_type&
- base1() const
- { return _M_b1; }
-
- const base2_type&
- base2() const
- { return _M_b2; }
-
- result_type
- min() const
- { return 0; }
-
- result_type
- max() const
- { return _M_max; }
-
- /**
- * Gets the next random number in the sequence.
- */
- // NB: Not exactly the TR1 formula, per N2079 instead.
- result_type
- operator()()
- {
- return ((result_type(_M_b1() - _M_b1.min()) << shift1)
- ^ (result_type(_M_b2() - _M_b2.min()) << shift2));
- }
-
- /**
- * Compares two %xor_combine random number generator objects of
- * the same type for equality.
- *
- * @param __lhs A %xor_combine random number generator object.
- * @param __rhs Another %xor_combine random number generator
- * object.
- *
- * @returns true if the two objects are equal, false otherwise.
- */
- friend bool
- operator==(const xor_combine& __lhs, const xor_combine& __rhs)
- {
- return (__lhs.base1() == __rhs.base1())
- && (__lhs.base2() == __rhs.base2());
- }
-
- /**
- * Compares two %xor_combine random number generator objects of
- * the same type for inequality.
- *
- * @param __lhs A %xor_combine random number generator object.
- * @param __rhs Another %xor_combine random number generator
- * object.
- *
- * @returns true if the two objects are not equal, false otherwise.
- */
- friend bool
- operator!=(const xor_combine& __lhs, const xor_combine& __rhs)
- { return !(__lhs == __rhs); }
-
- /**
- * Inserts the current state of a %xor_combine random number
- * generator engine @p __x into the output stream @p __os.
- *
- * @param __os An output stream.
- * @param __x A %xor_combine random number generator engine.
- *
- * @returns The output stream with the state of @p __x inserted or in
- * an error state.
- */
- template<class _UniformRandomNumberGenerator11, int __s11,
- class _UniformRandomNumberGenerator21, int __s21,
- typename _CharT, typename _Traits>
- friend std::basic_ostream<_CharT, _Traits>&
- operator<<(std::basic_ostream<_CharT, _Traits>& __os,
- const xor_combine<_UniformRandomNumberGenerator11, __s11,
- _UniformRandomNumberGenerator21, __s21>& __x);
-
- /**
- * Extracts the current state of a %xor_combine random number
- * generator engine @p __x from the input stream @p __is.
- *
- * @param __is An input stream.
- * @param __x A %xor_combine random number generator engine.
- *
- * @returns The input stream with the state of @p __x extracted or in
- * an error state.
- */
- template<class _UniformRandomNumberGenerator11, int __s11,
- class _UniformRandomNumberGenerator21, int __s21,
- typename _CharT, typename _Traits>
- friend std::basic_istream<_CharT, _Traits>&
- operator>>(std::basic_istream<_CharT, _Traits>& __is,
- xor_combine<_UniformRandomNumberGenerator11, __s11,
- _UniformRandomNumberGenerator21, __s21>& __x);
-
- private:
- void
- _M_initialize_max();
-
- result_type
- _M_initialize_max_aux(result_type, result_type, int);
-
- base1_type _M_b1;
- base2_type _M_b2;
- result_type _M_max;
- };
-
-
- /**
- * A standard interface to a platform-specific non-deterministic
- * random number generator (if any are available).
- */
- class random_device
- {
- public:
- // types
- typedef unsigned int result_type;
-
- // constructors, destructors and member functions
-
-#ifdef _GLIBCXX_USE_RANDOM_TR1
-
- explicit
- random_device(const std::string& __token = "/dev/urandom")
- {
- if ((__token != "/dev/urandom" && __token != "/dev/random")
- || !(_M_file = std::fopen(__token.c_str(), "rb")))
- std::__throw_runtime_error(__N("random_device::"
- "random_device(const std::string&)"));
- }
-
- ~random_device()
- { std::fclose(_M_file); }
-
-#else
-
- explicit
- random_device(const std::string& __token = "mt19937")
- : _M_mt(_M_strtoul(__token)) { }
-
- private:
- static unsigned long
- _M_strtoul(const std::string& __str)
- {
- unsigned long __ret = 5489UL;
- if (__str != "mt19937")
- {
- const char* __nptr = __str.c_str();
- char* __endptr;
- __ret = std::strtoul(__nptr, &__endptr, 0);
- if (*__nptr == '\0' || *__endptr != '\0')
- std::__throw_runtime_error(__N("random_device::_M_strtoul"
- "(const std::string&)"));
- }
- return __ret;
- }
-
- public:
-
-#endif
-
- result_type
- min() const
- { return std::numeric_limits<result_type>::min(); }
-
- result_type
- max() const
- { return std::numeric_limits<result_type>::max(); }
-
- double
- entropy() const
- { return 0.0; }
-
- result_type
- operator()()
- {
-#ifdef _GLIBCXX_USE_RANDOM_TR1
- result_type __ret;
- std::fread(reinterpret_cast<void*>(&__ret), sizeof(result_type),
- 1, _M_file);
- return __ret;
-#else
- return _M_mt();
-#endif
- }
-
- private:
- random_device(const random_device&);
- void operator=(const random_device&);
-
-#ifdef _GLIBCXX_USE_RANDOM_TR1
- FILE* _M_file;
-#else
- mt19937 _M_mt;
-#endif
- };
-
- /* @} */ // group tr1_random_generators
-
- /**
- * @defgroup tr1_random_distributions Random Number Distributions
- * @ingroup tr1_random
- * @{
- */
-
- /**
- * @defgroup tr1_random_distributions_discrete Discrete Distributions
- * @ingroup tr1_random_distributions
- * @{
- */
-
- /**
- * @brief Uniform discrete distribution for random numbers.
- * A discrete random distribution on the range @f$[min, max]@f$ with equal
- * probability throughout the range.
- */
- template<typename _IntType = int>
- class uniform_int
- {
- __glibcxx_class_requires(_IntType, _IntegerConcept)
-
- public:
- /** The type of the parameters of the distribution. */
- typedef _IntType input_type;
- /** The type of the range of the distribution. */
- typedef _IntType result_type;
-
- public:
- /**
- * Constructs a uniform distribution object.
- */
- explicit
- uniform_int(_IntType __min = 0, _IntType __max = 9)
- : _M_min(__min), _M_max(__max)
- {
- _GLIBCXX_DEBUG_ASSERT(_M_min <= _M_max);
- }
-
- /**
- * Gets the inclusive lower bound of the distribution range.
- */
- result_type
- min() const
- { return _M_min; }
-
- /**
- * Gets the inclusive upper bound of the distribution range.
- */
- result_type
- max() const
- { return _M_max; }
-
- /**
- * Resets the distribution state.
- *
- * Does nothing for the uniform integer distribution.
- */
- void
- reset() { }
-
- /**
- * Gets a uniformly distributed random number in the range
- * @f$(min, max)@f$.
- */
- template<typename _UniformRandomNumberGenerator>
- result_type
- operator()(_UniformRandomNumberGenerator& __urng)
- {
- typedef typename _UniformRandomNumberGenerator::result_type
- _UResult_type;
- return _M_call(__urng, _M_min, _M_max,
- typename is_integral<_UResult_type>::type());
- }
-
- /**
- * Gets a uniform random number in the range @f$[0, n)@f$.
- *
- * This function is aimed at use with std::random_shuffle.
- */
- template<typename _UniformRandomNumberGenerator>
- result_type
- operator()(_UniformRandomNumberGenerator& __urng, result_type __n)
- {
- typedef typename _UniformRandomNumberGenerator::result_type
- _UResult_type;
- return _M_call(__urng, 0, __n - 1,
- typename is_integral<_UResult_type>::type());
- }
-
- /**
- * Inserts a %uniform_int random number distribution @p __x into the
- * output stream @p os.
- *
- * @param __os An output stream.
- * @param __x A %uniform_int random number distribution.
- *
- * @returns The output stream with the state of @p __x inserted or in
- * an error state.
- */
- template<typename _IntType1, typename _CharT, typename _Traits>
- friend std::basic_ostream<_CharT, _Traits>&
- operator<<(std::basic_ostream<_CharT, _Traits>& __os,
- const uniform_int<_IntType1>& __x);
-
- /**
- * Extracts a %uniform_int random number distribution
- * @p __x from the input stream @p __is.
- *
- * @param __is An input stream.
- * @param __x A %uniform_int random number generator engine.
- *
- * @returns The input stream with @p __x extracted or in an error state.
- */
- template<typename _IntType1, typename _CharT, typename _Traits>
- friend std::basic_istream<_CharT, _Traits>&
- operator>>(std::basic_istream<_CharT, _Traits>& __is,
- uniform_int<_IntType1>& __x);
-
- private:
- template<typename _UniformRandomNumberGenerator>
- result_type
- _M_call(_UniformRandomNumberGenerator& __urng,
- result_type __min, result_type __max, true_type);
-
- template<typename _UniformRandomNumberGenerator>
- result_type
- _M_call(_UniformRandomNumberGenerator& __urng,
- result_type __min, result_type __max, false_type)
- {
- return result_type((__urng() - __urng.min())
- / (__urng.max() - __urng.min())
- * (__max - __min + 1)) + __min;
- }
-
- _IntType _M_min;
- _IntType _M_max;
- };
-
-
- /**
- * @brief A Bernoulli random number distribution.
- *
- * Generates a sequence of true and false values with likelihood @f$ p @f$
- * that true will come up and @f$ (1 - p) @f$ that false will appear.
- */
- class bernoulli_distribution
- {
- public:
- typedef int input_type;
- typedef bool result_type;
-
- public:
- /**
- * Constructs a Bernoulli distribution with likelihood @p p.
- *
- * @param __p [IN] The likelihood of a true result being returned. Must
- * be in the interval @f$ [0, 1] @f$.
- */
- explicit
- bernoulli_distribution(double __p = 0.5)
- : _M_p(__p)
- {
- _GLIBCXX_DEBUG_ASSERT((_M_p >= 0.0) && (_M_p <= 1.0));
- }
-
- /**
- * Gets the @p p parameter of the distribution.
- */
- double
- p() const
- { return _M_p; }
-
- /**
- * Resets the distribution state.
- *
- * Does nothing for a Bernoulli distribution.
- */
- void
- reset() { }
-
- /**
- * Gets the next value in the Bernoullian sequence.
- */
- template<class _UniformRandomNumberGenerator>
- result_type
- operator()(_UniformRandomNumberGenerator& __urng)
- {
- if ((__urng() - __urng.min()) < _M_p * (__urng.max() - __urng.min()))
- return true;
- return false;
- }
-
- /**
- * Inserts a %bernoulli_distribution random number distribution
- * @p __x into the output stream @p __os.
- *
- * @param __os An output stream.
- * @param __x A %bernoulli_distribution random number distribution.
- *
- * @returns The output stream with the state of @p __x inserted or in
- * an error state.
- */
- template<typename _CharT, typename _Traits>
- friend std::basic_ostream<_CharT, _Traits>&
- operator<<(std::basic_ostream<_CharT, _Traits>& __os,
- const bernoulli_distribution& __x);
-
- /**
- * Extracts a %bernoulli_distribution random number distribution
- * @p __x from the input stream @p __is.
- *
- * @param __is An input stream.
- * @param __x A %bernoulli_distribution random number generator engine.
- *
- * @returns The input stream with @p __x extracted or in an error state.
- */
- template<typename _CharT, typename _Traits>
- friend std::basic_istream<_CharT, _Traits>&
- operator>>(std::basic_istream<_CharT, _Traits>& __is,
- bernoulli_distribution& __x)
- { return __is >> __x._M_p; }
-
- private:
- double _M_p;
- };
-
-
- /**
- * @brief A discrete geometric random number distribution.
- *
- * The formula for the geometric probability mass function is
- * @f$ p(i) = (1 - p)p^{i-1} @f$ where @f$ p @f$ is the parameter of the
- * distribution.
- */
- template<typename _IntType = int, typename _RealType = double>
- class geometric_distribution
- {
- public:
- // types
- typedef _RealType input_type;
- typedef _IntType result_type;
-
- // constructors and member function
- explicit
- geometric_distribution(const _RealType& __p = _RealType(0.5))
- : _M_p(__p)
- {
- _GLIBCXX_DEBUG_ASSERT((_M_p > 0.0) && (_M_p < 1.0));
- _M_initialize();
- }
-
- /**
- * Gets the distribution parameter @p p.
- */
- _RealType
- p() const
- { return _M_p; }
-
- void
- reset() { }
-
- template<class _UniformRandomNumberGenerator>
- result_type
- operator()(_UniformRandomNumberGenerator& __urng);
-
- /**
- * Inserts a %geometric_distribution random number distribution
- * @p __x into the output stream @p __os.
- *
- * @param __os An output stream.
- * @param __x A %geometric_distribution random number distribution.
- *
- * @returns The output stream with the state of @p __x inserted or in
- * an error state.
- */
- template<typename _IntType1, typename _RealType1,
- typename _CharT, typename _Traits>
- friend std::basic_ostream<_CharT, _Traits>&
- operator<<(std::basic_ostream<_CharT, _Traits>& __os,
- const geometric_distribution<_IntType1, _RealType1>& __x);
-
- /**
- * Extracts a %geometric_distribution random number distribution
- * @p __x from the input stream @p __is.
- *
- * @param __is An input stream.
- * @param __x A %geometric_distribution random number generator engine.
- *
- * @returns The input stream with @p __x extracted or in an error state.
- */
- template<typename _CharT, typename _Traits>
- friend std::basic_istream<_CharT, _Traits>&
- operator>>(std::basic_istream<_CharT, _Traits>& __is,
- geometric_distribution& __x)
- {
- __is >> __x._M_p;
- __x._M_initialize();
- return __is;
- }
-
- private:
- void
- _M_initialize()
- { _M_log_p = std::log(_M_p); }
-
- _RealType _M_p;
- _RealType _M_log_p;
- };
-
-
- template<typename _RealType>
- class normal_distribution;
-
- /**
- * @brief A discrete Poisson random number distribution.
- *
- * The formula for the Poisson probability mass function is
- * @f$ p(i) = \frac{mean^i}{i!} e^{-mean} @f$ where @f$ mean @f$ is the
- * parameter of the distribution.
- */
- template<typename _IntType = int, typename _RealType = double>
- class poisson_distribution
- {
- public:
- // types
- typedef _RealType input_type;
- typedef _IntType result_type;
-
- // constructors and member function
- explicit
- poisson_distribution(const _RealType& __mean = _RealType(1))
- : _M_mean(__mean), _M_nd()
- {
- _GLIBCXX_DEBUG_ASSERT(_M_mean > 0.0);
- _M_initialize();
- }
-
- /**
- * Gets the distribution parameter @p mean.
- */
- _RealType
- mean() const
- { return _M_mean; }
-
- void
- reset()
- { _M_nd.reset(); }
-
- template<class _UniformRandomNumberGenerator>
- result_type
- operator()(_UniformRandomNumberGenerator& __urng);
-
- /**
- * Inserts a %poisson_distribution random number distribution
- * @p __x into the output stream @p __os.
- *
- * @param __os An output stream.
- * @param __x A %poisson_distribution random number distribution.
- *
- * @returns The output stream with the state of @p __x inserted or in
- * an error state.
- */
- template<typename _IntType1, typename _RealType1,
- typename _CharT, typename _Traits>
- friend std::basic_ostream<_CharT, _Traits>&
- operator<<(std::basic_ostream<_CharT, _Traits>& __os,
- const poisson_distribution<_IntType1, _RealType1>& __x);
-
- /**
- * Extracts a %poisson_distribution random number distribution
- * @p __x from the input stream @p __is.
- *
- * @param __is An input stream.
- * @param __x A %poisson_distribution random number generator engine.
- *
- * @returns The input stream with @p __x extracted or in an error state.
- */
- template<typename _IntType1, typename _RealType1,
- typename _CharT, typename _Traits>
- friend std::basic_istream<_CharT, _Traits>&
- operator>>(std::basic_istream<_CharT, _Traits>& __is,
- poisson_distribution<_IntType1, _RealType1>& __x);
-
- private:
- void
- _M_initialize();
-
- // NB: Unused when _GLIBCXX_USE_C99_MATH_TR1 is undefined.
- normal_distribution<_RealType> _M_nd;
-
- _RealType _M_mean;
-
- // Hosts either log(mean) or the threshold of the simple method.
- _RealType _M_lm_thr;
-#if _GLIBCXX_USE_C99_MATH_TR1
- _RealType _M_lfm, _M_sm, _M_d, _M_scx, _M_1cx, _M_c2b, _M_cb;
-#endif
- };
-
-
- /**
- * @brief A discrete binomial random number distribution.
- *
- * The formula for the binomial probability mass function is
- * @f$ p(i) = \binom{n}{i} p^i (1 - p)^{t - i} @f$ where @f$ t @f$
- * and @f$ p @f$ are the parameters of the distribution.
- */
- template<typename _IntType = int, typename _RealType = double>
- class binomial_distribution
- {
- public:
- // types
- typedef _RealType input_type;
- typedef _IntType result_type;
-
- // constructors and member function
- explicit
- binomial_distribution(_IntType __t = 1,
- const _RealType& __p = _RealType(0.5))
- : _M_t(__t), _M_p(__p), _M_nd()
- {
- _GLIBCXX_DEBUG_ASSERT((_M_t >= 0) && (_M_p >= 0.0) && (_M_p <= 1.0));
- _M_initialize();
- }
-
- /**
- * Gets the distribution @p t parameter.
- */
- _IntType
- t() const
- { return _M_t; }
-
- /**
- * Gets the distribution @p p parameter.
- */
- _RealType
- p() const
- { return _M_p; }
-
- void
- reset()
- { _M_nd.reset(); }
-
- template<class _UniformRandomNumberGenerator>
- result_type
- operator()(_UniformRandomNumberGenerator& __urng);
-
- /**
- * Inserts a %binomial_distribution random number distribution
- * @p __x into the output stream @p __os.
- *
- * @param __os An output stream.
- * @param __x A %binomial_distribution random number distribution.
- *
- * @returns The output stream with the state of @p __x inserted or in
- * an error state.
- */
- template<typename _IntType1, typename _RealType1,
- typename _CharT, typename _Traits>
- friend std::basic_ostream<_CharT, _Traits>&
- operator<<(std::basic_ostream<_CharT, _Traits>& __os,
- const binomial_distribution<_IntType1, _RealType1>& __x);
-
- /**
- * Extracts a %binomial_distribution random number distribution
- * @p __x from the input stream @p __is.
- *
- * @param __is An input stream.
- * @param __x A %binomial_distribution random number generator engine.
- *
- * @returns The input stream with @p __x extracted or in an error state.
- */
- template<typename _IntType1, typename _RealType1,
- typename _CharT, typename _Traits>
- friend std::basic_istream<_CharT, _Traits>&
- operator>>(std::basic_istream<_CharT, _Traits>& __is,
- binomial_distribution<_IntType1, _RealType1>& __x);
-
- private:
- void
- _M_initialize();
-
- template<class _UniformRandomNumberGenerator>
- result_type
- _M_waiting(_UniformRandomNumberGenerator& __urng, _IntType __t);
-
- // NB: Unused when _GLIBCXX_USE_C99_MATH_TR1 is undefined.
- normal_distribution<_RealType> _M_nd;
-
- _RealType _M_q;
-#if _GLIBCXX_USE_C99_MATH_TR1
- _RealType _M_d1, _M_d2, _M_s1, _M_s2, _M_c,
- _M_a1, _M_a123, _M_s, _M_lf, _M_lp1p;
-#endif
- _RealType _M_p;
- _IntType _M_t;
-
- bool _M_easy;
- };
-
- /* @} */ // group tr1_random_distributions_discrete
-
- /**
- * @defgroup tr1_random_distributions_continuous Continuous Distributions
- * @ingroup tr1_random_distributions
- * @{
- */
-
- /**
- * @brief Uniform continuous distribution for random numbers.
- *
- * A continuous random distribution on the range [min, max) with equal
- * probability throughout the range. The URNG should be real-valued and
- * deliver number in the range [0, 1).
- */
- template<typename _RealType = double>
- class uniform_real
- {
- public:
- // types
- typedef _RealType input_type;
- typedef _RealType result_type;
-
- public:
- /**
- * Constructs a uniform_real object.
- *
- * @param __min [IN] The lower bound of the distribution.
- * @param __max [IN] The upper bound of the distribution.
- */
- explicit
- uniform_real(_RealType __min = _RealType(0),
- _RealType __max = _RealType(1))
- : _M_min(__min), _M_max(__max)
- {
- _GLIBCXX_DEBUG_ASSERT(_M_min <= _M_max);
- }
-
- result_type
- min() const
- { return _M_min; }
-
- result_type
- max() const
- { return _M_max; }
-
- void
- reset() { }
-
- template<class _UniformRandomNumberGenerator>
- result_type
- operator()(_UniformRandomNumberGenerator& __urng)
- { return (__urng() * (_M_max - _M_min)) + _M_min; }
-
- /**
- * Inserts a %uniform_real random number distribution @p __x into the
- * output stream @p __os.
- *
- * @param __os An output stream.
- * @param __x A %uniform_real random number distribution.
- *
- * @returns The output stream with the state of @p __x inserted or in
- * an error state.
- */
- template<typename _RealType1, typename _CharT, typename _Traits>
- friend std::basic_ostream<_CharT, _Traits>&
- operator<<(std::basic_ostream<_CharT, _Traits>& __os,
- const uniform_real<_RealType1>& __x);
-
- /**
- * Extracts a %uniform_real random number distribution
- * @p __x from the input stream @p __is.
- *
- * @param __is An input stream.
- * @param __x A %uniform_real random number generator engine.
- *
- * @returns The input stream with @p __x extracted or in an error state.
- */
- template<typename _RealType1, typename _CharT, typename _Traits>
- friend std::basic_istream<_CharT, _Traits>&
- operator>>(std::basic_istream<_CharT, _Traits>& __is,
- uniform_real<_RealType1>& __x);
-
- private:
- _RealType _M_min;
- _RealType _M_max;
- };
-
-
- /**
- * @brief An exponential continuous distribution for random numbers.
- *
- * The formula for the exponential probability mass function is
- * @f$ p(x) = \lambda e^{-\lambda x} @f$.
- *
- * <table border=1 cellpadding=10 cellspacing=0>
- * <caption align=top>Distribution Statistics</caption>
- * <tr><td>Mean</td><td>@f$ \frac{1}{\lambda} @f$</td></tr>
- * <tr><td>Median</td><td>@f$ \frac{\ln 2}{\lambda} @f$</td></tr>
- * <tr><td>Mode</td><td>@f$ zero @f$</td></tr>
- * <tr><td>Range</td><td>@f$[0, \infty]@f$</td></tr>
- * <tr><td>Standard Deviation</td><td>@f$ \frac{1}{\lambda} @f$</td></tr>
- * </table>
- */
- template<typename _RealType = double>
- class exponential_distribution
- {
- public:
- // types
- typedef _RealType input_type;
- typedef _RealType result_type;
-
- public:
- /**
- * Constructs an exponential distribution with inverse scale parameter
- * @f$ \lambda @f$.
- */
- explicit
- exponential_distribution(const result_type& __lambda = result_type(1))
- : _M_lambda(__lambda)
- {
- _GLIBCXX_DEBUG_ASSERT(_M_lambda > 0);
- }
-
- /**
- * Gets the inverse scale parameter of the distribution.
- */
- _RealType
- lambda() const
- { return _M_lambda; }
-
- /**
- * Resets the distribution.
- *
- * Has no effect on exponential distributions.
- */
- void
- reset() { }
-
- template<class _UniformRandomNumberGenerator>
- result_type
- operator()(_UniformRandomNumberGenerator& __urng)
- { return -std::log(__urng()) / _M_lambda; }
-
- /**
- * Inserts a %exponential_distribution random number distribution
- * @p __x into the output stream @p __os.
- *
- * @param __os An output stream.
- * @param __x A %exponential_distribution random number distribution.
- *
- * @returns The output stream with the state of @p __x inserted or in
- * an error state.
- */
- template<typename _RealType1, typename _CharT, typename _Traits>
- friend std::basic_ostream<_CharT, _Traits>&
- operator<<(std::basic_ostream<_CharT, _Traits>& __os,
- const exponential_distribution<_RealType1>& __x);
-
- /**
- * Extracts a %exponential_distribution random number distribution
- * @p __x from the input stream @p __is.
- *
- * @param __is An input stream.
- * @param __x A %exponential_distribution random number
- * generator engine.
- *
- * @returns The input stream with @p __x extracted or in an error state.
- */
- template<typename _CharT, typename _Traits>
- friend std::basic_istream<_CharT, _Traits>&
- operator>>(std::basic_istream<_CharT, _Traits>& __is,
- exponential_distribution& __x)
- { return __is >> __x._M_lambda; }
-
- private:
- result_type _M_lambda;
- };
-
-
- /**
- * @brief A normal continuous distribution for random numbers.
- *
- * The formula for the normal probability mass function is
- * @f$ p(x) = \frac{1}{\sigma \sqrt{2 \pi}}
- * e^{- \frac{{x - mean}^ {2}}{2 \sigma ^ {2}} } @f$.
- */
- template<typename _RealType = double>
- class normal_distribution
- {
- public:
- // types
- typedef _RealType input_type;
- typedef _RealType result_type;
-
- public:
- /**
- * Constructs a normal distribution with parameters @f$ mean @f$ and
- * @f$ \sigma @f$.
- */
- explicit
- normal_distribution(const result_type& __mean = result_type(0),
- const result_type& __sigma = result_type(1))
- : _M_mean(__mean), _M_sigma(__sigma), _M_saved_available(false)
- {
- _GLIBCXX_DEBUG_ASSERT(_M_sigma > 0);
- }
-
- /**
- * Gets the mean of the distribution.
- */
- _RealType
- mean() const
- { return _M_mean; }
-
- /**
- * Gets the @f$ \sigma @f$ of the distribution.
- */
- _RealType
- sigma() const
- { return _M_sigma; }
-
- /**
- * Resets the distribution.
- */
- void
- reset()
- { _M_saved_available = false; }
-
- template<class _UniformRandomNumberGenerator>
- result_type
- operator()(_UniformRandomNumberGenerator& __urng);
-
- /**
- * Inserts a %normal_distribution random number distribution
- * @p __x into the output stream @p __os.
- *
- * @param __os An output stream.
- * @param __x A %normal_distribution random number distribution.
- *
- * @returns The output stream with the state of @p __x inserted or in
- * an error state.
- */
- template<typename _RealType1, typename _CharT, typename _Traits>
- friend std::basic_ostream<_CharT, _Traits>&
- operator<<(std::basic_ostream<_CharT, _Traits>& __os,
- const normal_distribution<_RealType1>& __x);
-
- /**
- * Extracts a %normal_distribution random number distribution
- * @p __x from the input stream @p __is.
- *
- * @param __is An input stream.
- * @param __x A %normal_distribution random number generator engine.
- *
- * @returns The input stream with @p __x extracted or in an error state.
- */
- template<typename _RealType1, typename _CharT, typename _Traits>
- friend std::basic_istream<_CharT, _Traits>&
- operator>>(std::basic_istream<_CharT, _Traits>& __is,
- normal_distribution<_RealType1>& __x);
-
- private:
- result_type _M_mean;
- result_type _M_sigma;
- result_type _M_saved;
- bool _M_saved_available;
- };
-
-
- /**
- * @brief A gamma continuous distribution for random numbers.
- *
- * The formula for the gamma probability mass function is
- * @f$ p(x) = \frac{1}{\Gamma(\alpha)} x^{\alpha - 1} e^{-x} @f$.
- */
- template<typename _RealType = double>
- class gamma_distribution
- {
- public:
- // types
- typedef _RealType input_type;
- typedef _RealType result_type;
-
- public:
- /**
- * Constructs a gamma distribution with parameters @f$ \alpha @f$.
- */
- explicit
- gamma_distribution(const result_type& __alpha_val = result_type(1))
- : _M_alpha(__alpha_val)
- {
- _GLIBCXX_DEBUG_ASSERT(_M_alpha > 0);
- _M_initialize();
- }
-
- /**
- * Gets the @f$ \alpha @f$ of the distribution.
- */
- _RealType
- alpha() const
- { return _M_alpha; }
-
- /**
- * Resets the distribution.
- */
- void
- reset() { }
-
- template<class _UniformRandomNumberGenerator>
- result_type
- operator()(_UniformRandomNumberGenerator& __urng);
-
- /**
- * Inserts a %gamma_distribution random number distribution
- * @p __x into the output stream @p __os.
- *
- * @param __os An output stream.
- * @param __x A %gamma_distribution random number distribution.
- *
- * @returns The output stream with the state of @p __x inserted or in
- * an error state.
- */
- template<typename _RealType1, typename _CharT, typename _Traits>
- friend std::basic_ostream<_CharT, _Traits>&
- operator<<(std::basic_ostream<_CharT, _Traits>& __os,
- const gamma_distribution<_RealType1>& __x);
-
- /**
- * Extracts a %gamma_distribution random number distribution
- * @p __x from the input stream @p __is.
- *
- * @param __is An input stream.
- * @param __x A %gamma_distribution random number generator engine.
- *
- * @returns The input stream with @p __x extracted or in an error state.
- */
- template<typename _CharT, typename _Traits>
- friend std::basic_istream<_CharT, _Traits>&
- operator>>(std::basic_istream<_CharT, _Traits>& __is,
- gamma_distribution& __x)
- {
- __is >> __x._M_alpha;
- __x._M_initialize();
- return __is;
- }
-
- private:
- void
- _M_initialize();
-
- result_type _M_alpha;
-
- // Hosts either lambda of GB or d of modified Vaduva's.
- result_type _M_l_d;
- };
-
- /* @} */ // group tr1_random_distributions_continuous
- /* @} */ // group tr1_random_distributions
- /* @} */ // group tr1_random
-
-_GLIBCXX_END_NAMESPACE_TR1
-}
-
-#include <tr1_impl/random.tcc>
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