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gcc/libstdc++-v3/include/bits/random.h
Edward Smith-Rowland 53bc54ecc0 random.h: Fix equation in comment of Weibull distro. 
2009-12-29  Edward Smith-Rowland  <3dw4rd@verizon.net>

	* include/bits/random.h: Fix equation in comment of Weibull distro.

From-SVN: r155515
2009-12-30 02:08:23 +00:00

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// random number generation -*- C++ -*-
// Copyright (C) 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 bits/random.h
* This is an internal header file, included by other library headers.
* You should not attempt to use it directly.
*/
#include <vector>
namespace std
{
// [26.4] Random number generation
/**
* @addtogroup std_random Random Number Generation
* A facility for generating random numbers on selected distributions.
* @{
*/
/**
* @brief A function template for converting the output of a (integral)
* uniform random number generator to a floatng point result in the range
* [0-1).
*/
template<typename _RealType, size_t __bits,
typename _UniformRandomNumberGenerator>
_RealType
generate_canonical(_UniformRandomNumberGenerator& __g);
class seed_seq;
/*
* Implementation-space details.
*/
namespace __detail
{
template<typename _UIntType, size_t __w,
bool = __w < static_cast<size_t>
(std::numeric_limits<_UIntType>::digits)>
struct _Shift
{ static const _UIntType __value = 0; };
template<typename _UIntType, size_t __w>
struct _Shift<_UIntType, __w, true>
{ static const _UIntType __value = _UIntType(1) << __w; };
template<typename _Tp, _Tp __m, _Tp __a, _Tp __c, bool>
struct _Mod;
// Dispatch based on modulus value to prevent divide-by-zero compile-time
// errors when m == 0.
template<typename _Tp, _Tp __m, _Tp __a = 1, _Tp __c = 0>
inline _Tp
__mod(_Tp __x)
{ return _Mod<_Tp, __m, __a, __c, __m == 0>::__calc(__x); }
/*
* An adaptor class for converting the output of any Generator into
* the input for a specific Distribution.
*/
template<typename _Engine, typename _DInputType>
struct _Adaptor
{
public:
_Adaptor(_Engine& __g)
: _M_g(__g) { }
_DInputType
min() const
{ return _DInputType(0); }
_DInputType
max() const
{ return _DInputType(1); }
/*
* Converts a value generated by the adapted random number generator
* into a value in the input domain for the dependent random number
* distribution.
*/
_DInputType
operator()()
{
return std::generate_canonical<_DInputType,
std::numeric_limits<_DInputType>::digits,
_Engine>(_M_g);
}
private:
_Engine& _M_g;
};
} // namespace __detail
/**
* @addtogroup std_random_generators Random Number Generators
* @ingroup std_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<typename _UIntType, _UIntType __a, _UIntType __c, _UIntType __m>
class linear_congruential_engine
{
static_assert(std::is_unsigned<_UIntType>::value, "template argument "
"substituting _UIntType not an unsigned integral type");
static_assert(__m == 0u || (__a < __m && __c < __m),
"template argument substituting __m out of bounds");
public:
/** The type of the generated random value. */
typedef _UIntType result_type;
/** The multiplier. */
static const result_type multiplier = __a;
/** An increment. */
static const result_type increment = __c;
/** The modulus. */
static const result_type modulus = __m;
static const result_type default_seed = 1u;
/**
* @brief Constructs a %linear_congruential_engine random number
* generator engine with seed @p __s. The default seed value
* is 1.
*
* @param __s The initial seed value.
*/
explicit
linear_congruential_engine(result_type __s = default_seed)
{ this->seed(__s); }
/**
* @brief Constructs a %linear_congruential_engine random number
* generator engine seeded from the seed sequence @p __q.
*
* @param __q the seed sequence.
*/
explicit
linear_congruential_engine(seed_seq& __q)
{ this->seed(__q); }
/**
* @brief Reseeds the %linear_congruential_engine random number generator
* engine sequence to the seed @p __s.
*
* @param __s The new seed.
*/
void
seed(result_type __s = default_seed);
/**
* @brief Reseeds the %linear_congruential_engine random number generator
* engine
* sequence using values from the seed sequence @p __q.
*
* @param __q the seed sequence.
*/
void
seed(seed_seq& __q);
/**
* @brief 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.
*
* @todo This should be constexpr.
*/
result_type
min() const
{ return __c == 0u ? 1u : 0u; }
/**
* @brief Gets the largest possible value in the output range.
*
* @todo This should be constexpr.
*/
result_type
max() const
{ return __m - 1u; }
/**
* @brief Discard a sequence of random numbers.
*
* @todo Look for a faster way to do discard.
*/
void
discard(unsigned long long __z)
{
for (; __z != 0ULL; --__z)
(*this)();
}
/**
* @brief Gets the next random number in the sequence.
*/
result_type
operator()()
{
_M_x = __detail::__mod<_UIntType, __m, __a, __c>(_M_x);
return _M_x;
}
/**
* @brief 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
* object.
*
* @returns true if the two objects are equal, false otherwise.
*/
friend bool
operator==(const linear_congruential_engine& __lhs,
const linear_congruential_engine& __rhs)
{ return __lhs._M_x == __rhs._M_x; }
/**
* @brief Writes the textual representation of the state x(i) of x to
* @p __os.
*
* @param __os The output stream.
* @param __lcr A % linear_congruential_engine random number generator.
* @returns __os.
*/
template<typename _UIntType1, _UIntType1 __a1, _UIntType1 __c1,
_UIntType1 __m1, typename _CharT, typename _Traits>
friend std::basic_ostream<_CharT, _Traits>&
operator<<(std::basic_ostream<_CharT, _Traits>&,
const std::linear_congruential_engine<_UIntType1,
__a1, __c1, __m1>&);
/**
* @brief 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_engine random number generator.
* @returns __is.
*/
template<typename _UIntType1, _UIntType1 __a1, _UIntType1 __c1,
_UIntType1 __m1, typename _CharT, typename _Traits>
friend std::basic_istream<_CharT, _Traits>&
operator>>(std::basic_istream<_CharT, _Traits>&,
std::linear_congruential_engine<_UIntType1, __a1,
__c1, __m1>&);
private:
_UIntType _M_x;
};
/**
* 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<typename _UIntType, size_t __w,
size_t __n, size_t __m, size_t __r,
_UIntType __a, size_t __u, _UIntType __d, size_t __s,
_UIntType __b, size_t __t,
_UIntType __c, size_t __l, _UIntType __f>
class mersenne_twister_engine
{
static_assert(std::is_unsigned<_UIntType>::value, "template argument "
"substituting _UIntType not an unsigned integral type");
static_assert(1u <= __m && __m <= __n,
"template argument substituting __m out of bounds");
static_assert(__r <= __w, "template argument substituting "
"__r out of bound");
static_assert(__u <= __w, "template argument substituting "
"__u out of bound");
static_assert(__s <= __w, "template argument substituting "
"__s out of bound");
static_assert(__t <= __w, "template argument substituting "
"__t out of bound");
static_assert(__l <= __w, "template argument substituting "
"__l out of bound");
static_assert(__w <= std::numeric_limits<_UIntType>::digits,
"template argument substituting __w out of bound");
static_assert(__a <= (__detail::_Shift<_UIntType, __w>::__value - 1),
"template argument substituting __a out of bound");
static_assert(__b <= (__detail::_Shift<_UIntType, __w>::__value - 1),
"template argument substituting __b out of bound");
static_assert(__c <= (__detail::_Shift<_UIntType, __w>::__value - 1),
"template argument substituting __c out of bound");
static_assert(__d <= (__detail::_Shift<_UIntType, __w>::__value - 1),
"template argument substituting __d out of bound");
static_assert(__f <= (__detail::_Shift<_UIntType, __w>::__value - 1),
"template argument substituting __f out of bound");
public:
/** The type of the generated random value. */
typedef _UIntType result_type;
// parameter values
static const size_t word_size = __w;
static const size_t state_size = __n;
static const size_t shift_size = __m;
static const size_t mask_bits = __r;
static const result_type xor_mask = __a;
static const size_t tempering_u = __u;
static const result_type tempering_d = __d;
static const size_t tempering_s = __s;
static const result_type tempering_b = __b;
static const size_t tempering_t = __t;
static const result_type tempering_c = __c;
static const size_t tempering_l = __l;
static const result_type initialization_multiplier = __f;
static const result_type default_seed = 5489u;
// constructors and member function
explicit
mersenne_twister_engine(result_type __sd = default_seed)
{ seed(__sd); }
/**
* @brief Constructs a %mersenne_twister_engine random number generator
* engine seeded from the seed sequence @p __q.
*
* @param __q the seed sequence.
*/
explicit
mersenne_twister_engine(seed_seq& __q)
{ seed(__q); }
void
seed(result_type __sd = default_seed);
void
seed(seed_seq& __q);
/**
* @brief Gets the smallest possible value in the output range.
*
* @todo This should be constexpr.
*/
result_type
min() const
{ return 0; };
/**
* @brief Gets the largest possible value in the output range.
*
* @todo This should be constexpr.
*/
result_type
max() const
{ return __detail::_Shift<_UIntType, __w>::__value - 1; }
/**
* @brief Discard a sequence of random numbers.
*
* @todo Look for a faster way to do discard.
*/
void
discard(unsigned long long __z)
{
for (; __z != 0ULL; --__z)
(*this)();
}
result_type
operator()();
/**
* @brief Compares two % mersenne_twister_engine random number generator
* objects of the same type for equality.
*
* @param __lhs A % mersenne_twister_engine random number generator
* object.
* @param __rhs Another % mersenne_twister_engine random number
* generator object.
*
* @returns true if the two objects are equal, false otherwise.
*/
friend bool
operator==(const mersenne_twister_engine& __lhs,
const mersenne_twister_engine& __rhs)
{ return std::equal(__lhs._M_x, __lhs._M_x + state_size, __rhs._M_x); }
/**
* @brief Inserts the current state of a % mersenne_twister_engine
* random number generator engine @p __x into the output stream
* @p __os.
*
* @param __os An output stream.
* @param __x A % mersenne_twister_engine random number generator
* engine.
*
* @returns The output stream with the state of @p __x inserted or in
* an error state.
*/
template<typename _UIntType1,
size_t __w1, size_t __n1,
size_t __m1, size_t __r1,
_UIntType1 __a1, size_t __u1,
_UIntType1 __d1, size_t __s1,
_UIntType1 __b1, size_t __t1,
_UIntType1 __c1, size_t __l1, _UIntType1 __f1,
typename _CharT, typename _Traits>
friend std::basic_ostream<_CharT, _Traits>&
operator<<(std::basic_ostream<_CharT, _Traits>&,
const std::mersenne_twister_engine<_UIntType1, __w1, __n1,
__m1, __r1, __a1, __u1, __d1, __s1, __b1, __t1, __c1,
__l1, __f1>&);
/**
* @brief Extracts the current state of a % mersenne_twister_engine
* random number generator engine @p __x from the input stream
* @p __is.
*
* @param __is An input stream.
* @param __x A % mersenne_twister_engine random number generator
* engine.
*
* @returns The input stream with the state of @p __x extracted or in
* an error state.
*/
template<typename _UIntType1,
size_t __w1, size_t __n1,
size_t __m1, size_t __r1,
_UIntType1 __a1, size_t __u1,
_UIntType1 __d1, size_t __s1,
_UIntType1 __b1, size_t __t1,
_UIntType1 __c1, size_t __l1, _UIntType1 __f1,
typename _CharT, typename _Traits>
friend std::basic_istream<_CharT, _Traits>&
operator>>(std::basic_istream<_CharT, _Traits>&,
std::mersenne_twister_engine<_UIntType1, __w1, __n1, __m1,
__r1, __a1, __u1, __d1, __s1, __b1, __t1, __c1,
__l1, __f1>&);
private:
_UIntType _M_x[state_size];
size_t _M_p;
};
/**
* @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$.
*
* @var _M_x The state of the generator. This is a ring buffer.
* @var _M_carry The carry.
* @var _M_p Current index of x(i - r).
*/
template<typename _UIntType, size_t __w, size_t __s, size_t __r>
class subtract_with_carry_engine
{
static_assert(std::is_unsigned<_UIntType>::value, "template argument "
"substituting _UIntType not an unsigned integral type");
static_assert(0u < __s && __s < __r,
"template argument substituting __s out of bounds");
static_assert(0u < __w && __w <= std::numeric_limits<_UIntType>::digits,
"template argument substituting __w out of bounds");
public:
/** The type of the generated random value. */
typedef _UIntType result_type;
// parameter values
static const size_t word_size = __w;
static const size_t short_lag = __s;
static const size_t long_lag = __r;
static const result_type default_seed = 19780503u;
/**
* @brief Constructs an explicitly seeded % subtract_with_carry_engine
* random number generator.
*/
explicit
subtract_with_carry_engine(result_type __sd = default_seed)
{ this->seed(__sd); }
/**
* @brief Constructs a %subtract_with_carry_engine random number engine
* seeded from the seed sequence @p __q.
*
* @param __q the seed sequence.
*/
explicit
subtract_with_carry_engine(seed_seq& __q)
{ this->seed(__q); }
/**
* @brief Seeds the initial state @f$ 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(result_type __sd = default_seed);
/**
* @brief Seeds the initial state @f$ x_0 @f$ of the
* % subtract_with_carry_engine random number generator.
*/
void
seed(seed_seq& __q);
/**
* @brief Gets the inclusive minimum value of the range of random
* integers returned by this generator.
*
* @todo This should be constexpr.
*/
result_type
min() const
{ return 0; }
/**
* @brief Gets the inclusive maximum value of the range of random
* integers returned by this generator.
*
* @todo This should be constexpr.
*/
result_type
max() const
{ return __detail::_Shift<_UIntType, __w>::__value - 1; }
/**
* @brief Discard a sequence of random numbers.
*
* @todo Look for a faster way to do discard.
*/
void
discard(unsigned long long __z)
{
for (; __z != 0ULL; --__z)
(*this)();
}
/**
* @brief Gets the next random number in the sequence.
*/
result_type
operator()();
/**
* @brief Compares two % subtract_with_carry_engine random number
* generator objects of the same type for equality.
*
* @param __lhs A % subtract_with_carry_engine random number generator
* object.
* @param __rhs Another % subtract_with_carry_engine random number
* generator object.
*
* @returns true if the two objects are equal, false otherwise.
*/
friend bool
operator==(const subtract_with_carry_engine& __lhs,
const subtract_with_carry_engine& __rhs)
{ return std::equal(__lhs._M_x, __lhs._M_x + long_lag, __rhs._M_x); }
/**
* @brief Inserts the current state of a % subtract_with_carry_engine
* random number generator engine @p __x into the output stream
* @p __os.
*
* @param __os An output stream.
* @param __x A % subtract_with_carry_engine random number generator
* engine.
*
* @returns The output stream with the state of @p __x inserted or in
* an error state.
*/
template<typename _UIntType1, size_t __w1, size_t __s1, size_t __r1,
typename _CharT, typename _Traits>
friend std::basic_ostream<_CharT, _Traits>&
operator<<(std::basic_ostream<_CharT, _Traits>&,
const std::subtract_with_carry_engine<_UIntType1, __w1,
__s1, __r1>&);
/**
* @brief Extracts the current state of a % subtract_with_carry_engine
* random number generator engine @p __x from the input stream
* @p __is.
*
* @param __is An input stream.
* @param __x A % subtract_with_carry_engine random number generator engine.
*
* @returns The input stream with the state of @p __x extracted or in
* an error state.
*/
template<typename _UIntType1, size_t __w1, size_t __s1, size_t __r1,
typename _CharT, typename _Traits>
friend std::basic_istream<_CharT, _Traits>&
operator>>(std::basic_istream<_CharT, _Traits>&,
std::subtract_with_carry_engine<_UIntType1, __w1,
__s1, __r1>&);
private:
_UIntType _M_x[long_lag];
_UIntType _M_carry;
size_t _M_p;
};
/**
* Produces random numbers from some base engine by discarding blocks of
* data.
*
* 0 <= @p __r <= @p __p
*/
template<typename _RandomNumberEngine, size_t __p, size_t __r>
class discard_block_engine
{
static_assert(1 <= __r && __r <= __p,
"template argument substituting __r out of bounds");
public:
/** The type of the generated random value. */
typedef typename _RandomNumberEngine::result_type result_type;
// parameter values
static const size_t block_size = __p;
static const size_t used_block = __r;
/**
* @brief Constructs a default %discard_block_engine engine.
*
* The underlying engine is default constructed as well.
*/
discard_block_engine()
: _M_b(), _M_n(0) { }
/**
* @brief Copy constructs a %discard_block_engine engine.
*
* Copies an existing base class random number generator.
* @param rng An existing (base class) engine object.
*/
explicit
discard_block_engine(const _RandomNumberEngine& __rne)
: _M_b(__rne), _M_n(0) { }
/**
* @brief Move constructs a %discard_block_engine engine.
*
* Copies an existing base class random number generator.
* @param rng An existing (base class) engine object.
*/
explicit
discard_block_engine(_RandomNumberEngine&& __rne)
: _M_b(std::move(__rne)), _M_n(0) { }
/**
* @brief Seed constructs a %discard_block_engine engine.
*
* Constructs the underlying generator engine seeded with @p __s.
* @param __s A seed value for the base class engine.
*/
explicit
discard_block_engine(result_type __s)
: _M_b(__s), _M_n(0) { }
/**
* @brief Generator construct a %discard_block_engine engine.
*
* @param __q A seed sequence.
*/
explicit
discard_block_engine(seed_seq& __q)
: _M_b(__q), _M_n(0)
{ }
/**
* @brief Reseeds the %discard_block_engine object with the default
* seed for the underlying base class generator engine.
*/
void
seed()
{
_M_b.seed();
_M_n = 0;
}
/**
* @brief Reseeds the %discard_block_engine object with the default
* seed for the underlying base class generator engine.
*/
void
seed(result_type __s)
{
_M_b.seed(__s);
_M_n = 0;
}
/**
* @brief Reseeds the %discard_block_engine object with the given seed
* sequence.
* @param __q A seed generator function.
*/
void
seed(seed_seq& __q)
{
_M_b.seed(__q);
_M_n = 0;
}
/**
* @brief Gets a const reference to the underlying generator engine
* object.
*/
const _RandomNumberEngine&
base() const
{ return _M_b; }
/**
* @brief Gets the minimum value in the generated random number range.
*
* @todo This should be constexpr.
*/
result_type
min() const
{ return _M_b.min(); }
/**
* @brief Gets the maximum value in the generated random number range.
*
* @todo This should be constexpr.
*/
result_type
max() const
{ return _M_b.max(); }
/**
* @brief Discard a sequence of random numbers.
*
* @todo Look for a faster way to do discard.
*/
void
discard(unsigned long long __z)
{
for (; __z != 0ULL; --__z)
(*this)();
}
/**
* @brief Gets the next value in the generated random number sequence.
*/
result_type
operator()();
/**
* @brief Compares two %discard_block_engine random number generator
* objects of the same type for equality.
*
* @param __lhs A %discard_block_engine random number generator object.
* @param __rhs Another %discard_block_engine random number generator
* object.
*
* @returns true if the two objects are equal, false otherwise.
*/
friend bool
operator==(const discard_block_engine& __lhs,
const discard_block_engine& __rhs)
{ return (__lhs._M_b == __rhs._M_b) && (__lhs._M_n == __rhs._M_n); }
/**
* @brief Inserts the current state of a %discard_block_engine random
* number generator engine @p __x into the output stream
* @p __os.
*
* @param __os An output stream.
* @param __x A %discard_block_engine random number generator engine.
*
* @returns The output stream with the state of @p __x inserted or in
* an error state.
*/
template<typename _RandomNumberEngine1, size_t __p1, size_t __r1,
typename _CharT, typename _Traits>
friend std::basic_ostream<_CharT, _Traits>&
operator<<(std::basic_ostream<_CharT, _Traits>&,
const std::discard_block_engine<_RandomNumberEngine1,
__p1, __r1>&);
/**
* @brief Extracts the current state of a % subtract_with_carry_engine
* random number generator engine @p __x from the input stream
* @p __is.
*
* @param __is An input stream.
* @param __x A %discard_block_engine random number generator engine.
*
* @returns The input stream with the state of @p __x extracted or in
* an error state.
*/
template<typename _RandomNumberEngine1, size_t __p1, size_t __r1,
typename _CharT, typename _Traits>
friend std::basic_istream<_CharT, _Traits>&
operator>>(std::basic_istream<_CharT, _Traits>&,
std::discard_block_engine<_RandomNumberEngine1,
__p1, __r1>&);
private:
_RandomNumberEngine _M_b;
size_t _M_n;
};
/**
* Produces random numbers by combining random numbers from some base
* engine to produce random numbers with a specifies number of bits @p __w.
*/
template<typename _RandomNumberEngine, size_t __w, typename _UIntType>
class independent_bits_engine
{
static_assert(std::is_unsigned<_UIntType>::value, "template argument "
"substituting _UIntType not an unsigned integral type");
static_assert(0u < __w && __w <= std::numeric_limits<_UIntType>::digits,
"template argument substituting __w out of bounds");
public:
/** The type of the generated random value. */
typedef _UIntType result_type;
/**
* @brief Constructs a default %independent_bits_engine engine.
*
* The underlying engine is default constructed as well.
*/
independent_bits_engine()
: _M_b() { }
/**
* @brief Copy constructs a %independent_bits_engine engine.
*
* Copies an existing base class random number generator.
* @param rng An existing (base class) engine object.
*/
explicit
independent_bits_engine(const _RandomNumberEngine& __rne)
: _M_b(__rne) { }
/**
* @brief Move constructs a %independent_bits_engine engine.
*
* Copies an existing base class random number generator.
* @param rng An existing (base class) engine object.
*/
explicit
independent_bits_engine(_RandomNumberEngine&& __rne)
: _M_b(std::move(__rne)) { }
/**
* @brief Seed constructs a %independent_bits_engine engine.
*
* Constructs the underlying generator engine seeded with @p __s.
* @param __s A seed value for the base class engine.
*/
explicit
independent_bits_engine(result_type __s)
: _M_b(__s) { }
/**
* @brief Generator construct a %independent_bits_engine engine.
*
* @param __q A seed sequence.
*/
explicit
independent_bits_engine(seed_seq& __q)
: _M_b(__q)
{ }
/**
* @brief Reseeds the %independent_bits_engine object with the default
* seed for the underlying base class generator engine.
*/
void
seed()
{ _M_b.seed(); }
/**
* @brief Reseeds the %independent_bits_engine object with the default
* seed for the underlying base class generator engine.
*/
void
seed(result_type __s)
{ _M_b.seed(__s); }
/**
* @brief Reseeds the %independent_bits_engine object with the given
* seed sequence.
* @param __q A seed generator function.
*/
void
seed(seed_seq& __q)
{ _M_b.seed(__q); }
/**
* @brief Gets a const reference to the underlying generator engine
* object.
*/
const _RandomNumberEngine&
base() const
{ return _M_b; }
/**
* @brief Gets the minimum value in the generated random number range.
*
* @todo This should be constexpr.
*/
result_type
min() const
{ return 0U; }
/**
* @brief Gets the maximum value in the generated random number range.
*
* @todo This should be constexpr.
*/
result_type
max() const
{ return __detail::_Shift<_UIntType, __w>::__value - 1; }
/**
* @brief Discard a sequence of random numbers.
*
* @todo Look for a faster way to do discard.
*/
void
discard(unsigned long long __z)
{
for (; __z != 0ULL; --__z)
(*this)();
}
/**
* @brief Gets the next value in the generated random number sequence.
*/
result_type
operator()();
/**
* @brief Compares two %independent_bits_engine random number generator
* objects of the same type for equality.
*
* @param __lhs A %independent_bits_engine random number generator
* object.
* @param __rhs Another %independent_bits_engine random number generator
* object.
*
* @returns true if the two objects are equal, false otherwise.
*/
friend bool
operator==(const independent_bits_engine& __lhs,
const independent_bits_engine& __rhs)
{ return __lhs._M_b == __rhs._M_b; }
/**
* @brief Extracts the current state of a % subtract_with_carry_engine
* random number generator engine @p __x from the input stream
* @p __is.
*
* @param __is An input stream.
* @param __x A %independent_bits_engine random number generator
* engine.
*
* @returns The input stream with the state of @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,
std::independent_bits_engine<_RandomNumberEngine,
__w, _UIntType>& __x)
{
__is >> __x._M_b;
return __is;
}
private:
_RandomNumberEngine _M_b;
};
/**
* @brief Inserts the current state of a %independent_bits_engine random
* number generator engine @p __x into the output stream @p __os.
*
* @param __os An output stream.
* @param __x A %independent_bits_engine random number generator engine.
*
* @returns The output stream with the state of @p __x inserted or in
* an error state.
*/
template<typename _RandomNumberEngine, size_t __w, typename _UIntType,
typename _CharT, typename _Traits>
std::basic_ostream<_CharT, _Traits>&
operator<<(std::basic_ostream<_CharT, _Traits>& __os,
const std::independent_bits_engine<_RandomNumberEngine,
__w, _UIntType>& __x)
{
__os << __x.base();
return __os;
}
/**
* @brief Produces random numbers by combining random numbers from some
* base engine to produce random numbers with a specifies number of bits
* @p __w.
*/
template<typename _RandomNumberEngine, size_t __k>
class shuffle_order_engine
{
static_assert(1u <= __k, "template argument substituting "
"__k out of bound");
public:
/** The type of the generated random value. */
typedef typename _RandomNumberEngine::result_type result_type;
static const size_t table_size = __k;
/**
* @brief Constructs a default %shuffle_order_engine engine.
*
* The underlying engine is default constructed as well.
*/
shuffle_order_engine()
: _M_b()
{ _M_initialize(); }
/**
* @brief Copy constructs a %shuffle_order_engine engine.
*
* Copies an existing base class random number generator.
* @param rng An existing (base class) engine object.
*/
explicit
shuffle_order_engine(const _RandomNumberEngine& __rne)
: _M_b(__rne)
{ _M_initialize(); }
/**
* @brief Move constructs a %shuffle_order_engine engine.
*
* Copies an existing base class random number generator.
* @param rng An existing (base class) engine object.
*/
explicit
shuffle_order_engine(_RandomNumberEngine&& __rne)
: _M_b(std::move(__rne))
{ _M_initialize(); }
/**
* @brief Seed constructs a %shuffle_order_engine engine.
*
* Constructs the underlying generator engine seeded with @p __s.
* @param __s A seed value for the base class engine.
*/
explicit
shuffle_order_engine(result_type __s)
: _M_b(__s)
{ _M_initialize(); }
/**
* @brief Generator construct a %shuffle_order_engine engine.
*
* @param __q A seed sequence.
*/
explicit
shuffle_order_engine(seed_seq& __q)
: _M_b(__q)
{ _M_initialize(); }
/**
* @brief Reseeds the %shuffle_order_engine object with the default seed
for the underlying base class generator engine.
*/
void
seed()
{
_M_b.seed();
_M_initialize();
}
/**
* @brief Reseeds the %shuffle_order_engine object with the default seed
* for the underlying base class generator engine.
*/
void
seed(result_type __s)
{
_M_b.seed(__s);
_M_initialize();
}
/**
* @brief Reseeds the %shuffle_order_engine object with the given seed
* sequence.
* @param __q A seed generator function.
*/
void
seed(seed_seq& __q)
{
_M_b.seed(__q);
_M_initialize();
}
/**
* Gets a const reference to the underlying generator engine object.
*/
const _RandomNumberEngine&
base() const
{ return _M_b; }
/**
* Gets the minimum value in the generated random number range.
*
* @todo This should be constexpr.
*/
result_type
min() const
{ return _M_b.min(); }
/**
* Gets the maximum value in the generated random number range.
*
* @todo This should be constexpr.
*/
result_type
max() const
{ return _M_b.max(); }
/**
* Discard a sequence of random numbers.
*
* @todo Look for a faster way to do discard.
*/
void
discard(unsigned long long __z)
{
for (; __z != 0ULL; --__z)
(*this)();
}
/**
* Gets the next value in the generated random number sequence.
*/
result_type
operator()();
/**
* Compares two %shuffle_order_engine random number generator objects
* of the same type for equality.
*
* @param __lhs A %shuffle_order_engine random number generator object.
* @param __rhs Another %shuffle_order_engine random number generator
* object.
*
* @returns true if the two objects are equal, false otherwise.
*/
friend bool
operator==(const shuffle_order_engine& __lhs,
const shuffle_order_engine& __rhs)
{ return __lhs._M_b == __rhs._M_b; }
/**
* @brief Inserts the current state of a %shuffle_order_engine random
* number generator engine @p __x into the output stream
@p __os.
*
* @param __os An output stream.
* @param __x A %shuffle_order_engine random number generator engine.
*
* @returns The output stream with the state of @p __x inserted or in
* an error state.
*/
template<typename _RandomNumberEngine1, size_t __k1,
typename _CharT, typename _Traits>
friend std::basic_ostream<_CharT, _Traits>&
operator<<(std::basic_ostream<_CharT, _Traits>&,
const std::shuffle_order_engine<_RandomNumberEngine1,
__k1>&);
/**
* @brief Extracts the current state of a % subtract_with_carry_engine
* random number generator engine @p __x from the input stream
* @p __is.
*
* @param __is An input stream.
* @param __x A %shuffle_order_engine random number generator engine.
*
* @returns The input stream with the state of @p __x extracted or in
* an error state.
*/
template<typename _RandomNumberEngine1, size_t __k1,
typename _CharT, typename _Traits>
friend std::basic_istream<_CharT, _Traits>&
operator>>(std::basic_istream<_CharT, _Traits>&,
std::shuffle_order_engine<_RandomNumberEngine1, __k1>&);
private:
void _M_initialize()
{
for (size_t __i = 0; __i < __k; ++__i)
_M_v[__i] = _M_b();
_M_y = _M_b();
}
_RandomNumberEngine _M_b;
result_type _M_v[__k];
result_type _M_y;
};
/**
* The classic Minimum Standard rand0 of Lewis, Goodman, and Miller.
*/
typedef linear_congruential_engine<uint_fast32_t, 16807UL, 0UL, 2147483647UL>
minstd_rand0;
/**
* An alternative LCR (Lehmer Generator function) .
*/
typedef linear_congruential_engine<uint_fast32_t, 48271UL, 0UL, 2147483647UL>
minstd_rand;
/**
* 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_engine<
uint_fast32_t,
32, 624, 397, 31,
0x9908b0dfUL, 11,
0xffffffffUL, 7,
0x9d2c5680UL, 15,
0xefc60000UL, 18, 1812433253UL> mt19937;
/**
* An alternative Mersenne Twister.
*/
typedef mersenne_twister_engine<
uint_fast64_t,
64, 312, 156, 31,
0xb5026f5aa96619e9ULL, 29,
0x5555555555555555ULL, 17,
0x71d67fffeda60000ULL, 37,
0xfff7eee000000000ULL, 43,
6364136223846793005ULL> mt19937_64;
/**
* .
*/
typedef subtract_with_carry_engine<uint_fast32_t, 24, 10, 24>
ranlux24_base;
typedef subtract_with_carry_engine<uint_fast64_t, 48, 5, 12>
ranlux48_base;
typedef discard_block_engine<ranlux24_base, 223, 23> ranlux24;
typedef discard_block_engine<ranlux48_base, 389, 11> ranlux48;
/**
* .
*/
typedef shuffle_order_engine<minstd_rand0, 256> knuth_b;
/**
* .
*/
typedef minstd_rand0 default_random_engine;
/**
* A standard interface to a platform-specific non-deterministic
* random number generator (if any are available).
*/
class random_device
{
public:
/** The type of the generated random value. */
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
}
// No copy functions.
random_device(const random_device&) = delete;
void operator=(const random_device&) = delete;
private:
#ifdef _GLIBCXX_USE_RANDOM_TR1
FILE* _M_file;
#else
mt19937 _M_mt;
#endif
};
/* @} */ // group std_random_generators
/**
* @addtogroup std_random_distributions Random Number Distributions
* @ingroup std_random
* @{
*/
/**
* @addtogroup std_random_distributions_uniform Uniform Distributions
* @ingroup std_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_distribution
{
static_assert(std::is_integral<_IntType>::value,
"template argument not an integral type");
public:
/** The type of the range of the distribution. */
typedef _IntType result_type;
/** Parameter type. */
struct param_type
{
typedef uniform_int_distribution<_IntType> distribution_type;
explicit
param_type(_IntType __a = 0,
_IntType __b = std::numeric_limits<_IntType>::max())
: _M_a(__a), _M_b(__b)
{
_GLIBCXX_DEBUG_ASSERT(_M_a <= _M_b);
}
result_type
a() const
{ return _M_a; }
result_type
b() const
{ return _M_b; }
private:
_IntType _M_a;
_IntType _M_b;
};
public:
/**
* @brief Constructs a uniform distribution object.
*/
explicit
uniform_int_distribution(_IntType __a = 0,
_IntType __b = std::numeric_limits<_IntType>::max())
: _M_param(__a, __b)
{ }
explicit
uniform_int_distribution(const param_type& __p)
: _M_param(__p)
{ }
/**
* @brief Resets the distribution state.
*
* Does nothing for the uniform integer distribution.
*/
void
reset() { }
result_type
a() const
{ return _M_param.a(); }
result_type
b() const
{ return _M_param.b(); }
/**
* @brief Returns the inclusive lower bound of the distribution range.
*/
result_type
min() const
{ return this->a(); }
/**
* @brief Returns the inclusive upper bound of the distribution range.
*/
result_type
max() const
{ return this->b(); }
/**
* @brief Returns the parameter set of the distribution.
*/
param_type
param() const
{ return _M_param; }
/**
* @brief Sets the parameter set of the distribution.
* @param __param The new parameter set of the distribution.
*/
void
param(const param_type& __param)
{ _M_param = __param; }
/**
* Gets a uniformly distributed random number in the range
* @f$(min, max)@f$.
*/
template<typename _UniformRandomNumberGenerator>
result_type
operator()(_UniformRandomNumberGenerator& __urng)
{ return this->operator()(__urng, this->param()); }
/**
* 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,
const param_type& __p);
param_type _M_param;
};
/**
* @brief Inserts a %uniform_int_distribution random number
* distribution @p __x into the output stream @p os.
*
* @param __os An output stream.
* @param __x A %uniform_int_distribution random number distribution.
*
* @returns The output stream with the state of @p __x inserted or in
* an error state.
*/
template<typename _IntType, typename _CharT, typename _Traits>
std::basic_ostream<_CharT, _Traits>&
operator<<(std::basic_ostream<_CharT, _Traits>&,
const std::uniform_int_distribution<_IntType>&);
/**
* @brief Extracts a %uniform_int_distribution random number distribution
* @p __x from the input stream @p __is.
*
* @param __is An input stream.
* @param __x A %uniform_int_distribution random number generator engine.
*
* @returns The input stream with @p __x extracted or in an error state.
*/
template<typename _IntType, typename _CharT, typename _Traits>
std::basic_istream<_CharT, _Traits>&
operator>>(std::basic_istream<_CharT, _Traits>&,
std::uniform_int_distribution<_IntType>&);
/**
* @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_distribution
{
static_assert(std::is_floating_point<_RealType>::value,
"template argument not a floating point type");
public:
/** The type of the range of the distribution. */
typedef _RealType result_type;
/** Parameter type. */
struct param_type
{
typedef uniform_real_distribution<_RealType> distribution_type;
explicit
param_type(_RealType __a = _RealType(0),
_RealType __b = _RealType(1))
: _M_a(__a), _M_b(__b)
{
_GLIBCXX_DEBUG_ASSERT(_M_a <= _M_b);
}
result_type
a() const
{ return _M_a; }
result_type
b() const
{ return _M_b; }
private:
_RealType _M_a;
_RealType _M_b;
};
public:
/**
* @brief Constructs a uniform_real_distribution object.
*
* @param __min [IN] The lower bound of the distribution.
* @param __max [IN] The upper bound of the distribution.
*/
explicit
uniform_real_distribution(_RealType __a = _RealType(0),
_RealType __b = _RealType(1))
: _M_param(__a, __b)
{ }
explicit
uniform_real_distribution(const param_type& __p)
: _M_param(__p)
{ }
/**
* @brief Resets the distribution state.
*
* Does nothing for the uniform real distribution.
*/
void
reset() { }
result_type
a() const
{ return _M_param.a(); }
result_type
b() const
{ return _M_param.b(); }
/**
* @brief Returns the inclusive lower bound of the distribution range.
*/
result_type
min() const
{ return this->a(); }
/**
* @brief Returns the inclusive upper bound of the distribution range.
*/
result_type
max() const
{ return this->b(); }
/**
* @brief Returns the parameter set of the distribution.
*/
param_type
param() const
{ return _M_param; }
/**
* @brief Sets the parameter set of the distribution.
* @param __param The new parameter set of the distribution.
*/
void
param(const param_type& __param)
{ _M_param = __param; }
template<typename _UniformRandomNumberGenerator>
result_type
operator()(_UniformRandomNumberGenerator& __urng)
{ return this->operator()(__urng, this->param()); }
template<typename _UniformRandomNumberGenerator>
result_type
operator()(_UniformRandomNumberGenerator& __urng,
const param_type& __p)
{
__detail::_Adaptor<_UniformRandomNumberGenerator, result_type>
__aurng(__urng);
return (__aurng() * (__p.b() - __p.a())) + __p.a();
}
private:
param_type _M_param;
};
/**
* @brief Inserts a %uniform_real_distribution random number
* distribution @p __x into the output stream @p __os.
*
* @param __os An output stream.
* @param __x A %uniform_real_distribution random number distribution.
*
* @returns The output stream with the state of @p __x inserted or in
* an error state.
*/
template<typename _RealType, typename _CharT, typename _Traits>
std::basic_ostream<_CharT, _Traits>&
operator<<(std::basic_ostream<_CharT, _Traits>&,
const std::uniform_real_distribution<_RealType>&);
/**
* @brief Extracts a %uniform_real_distribution random number distribution
* @p __x from the input stream @p __is.
*
* @param __is An input stream.
* @param __x A %uniform_real_distribution random number generator engine.
*
* @returns The input stream with @p __x extracted or in an error state.
*/
template<typename _RealType, typename _CharT, typename _Traits>
std::basic_istream<_CharT, _Traits>&
operator>>(std::basic_istream<_CharT, _Traits>&,
std::uniform_real_distribution<_RealType>&);
/* @} */ // group std_random_distributions_uniform
/**
* @addtogroup std_random_distributions_normal Normal Distributions
* @ingroup std_random_distributions
* @{
*/
/**
* @brief A normal continuous distribution for random numbers.
*
* The formula for the normal probability density function is
* @f$ p(x|\mu,\sigma) = \frac{1}{\sigma \sqrt{2 \pi}}
* e^{- \frac{{x - \mu}^ {2}}{2 \sigma ^ {2}} } @f$.
*/
template<typename _RealType = double>
class normal_distribution
{
static_assert(std::is_floating_point<_RealType>::value,
"template argument not a floating point type");
public:
/** The type of the range of the distribution. */
typedef _RealType result_type;
/** Parameter type. */
struct param_type
{
typedef normal_distribution<_RealType> distribution_type;
explicit
param_type(_RealType __mean = _RealType(0),
_RealType __stddev = _RealType(1))
: _M_mean(__mean), _M_stddev(__stddev)
{
_GLIBCXX_DEBUG_ASSERT(_M_stddev > _RealType(0));
}
_RealType
mean() const
{ return _M_mean; }
_RealType
stddev() const
{ return _M_stddev; }
private:
_RealType _M_mean;
_RealType _M_stddev;
};
public:
/**
* Constructs a normal distribution with parameters @f$ mean @f$ and
* standard deviation.
*/
explicit
normal_distribution(result_type __mean = result_type(0),
result_type __stddev = result_type(1))
: _M_param(__mean, __stddev), _M_saved_available(false)
{ }
explicit
normal_distribution(const param_type& __p)
: _M_param(__p), _M_saved_available(false)
{ }
/**
* @brief Resets the distribution state.
*/
void
reset()
{ _M_saved_available = false; }
/**
* @brief Returns the mean of the distribution.
*/
_RealType
mean() const
{ return _M_param.mean(); }
/**
* @brief Returns the standard deviation of the distribution.
*/
_RealType
stddev() const
{ return _M_param.stddev(); }
/**
* @brief Returns the parameter set of the distribution.
*/
param_type
param() const
{ return _M_param; }
/**
* @brief Sets the parameter set of the distribution.
* @param __param The new parameter set of the distribution.
*/
void
param(const param_type& __param)
{ _M_param = __param; }
/**
* @brief Returns the greatest lower bound value of the distribution.
*/
result_type
min() const
{ return std::numeric_limits<result_type>::min(); }
/**
* @brief Returns the least upper bound value of the distribution.
*/
result_type
max() const
{ return std::numeric_limits<result_type>::max(); }
template<typename _UniformRandomNumberGenerator>
result_type
operator()(_UniformRandomNumberGenerator& __urng)
{ return this->operator()(__urng, this->param()); }
template<typename _UniformRandomNumberGenerator>
result_type
operator()(_UniformRandomNumberGenerator& __urng,
const param_type& __p);
/**
* @brief 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>&,
const std::normal_distribution<_RealType1>&);
/**
* @brief 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>&,
std::normal_distribution<_RealType1>&);
private:
param_type _M_param;
result_type _M_saved;
bool _M_saved_available;
};
/**
* @brief A lognormal_distribution random number distribution.
*
* The formula for the normal probability mass function is
* @f$ p(x|m,s) = \frac{1}{sx\sqrt{2\pi}}
* \exp{-\frac{(\ln{x} - m)^2}{2s^2}} @f$
*/
template<typename _RealType = double>
class lognormal_distribution
{
static_assert(std::is_floating_point<_RealType>::value,
"template argument not a floating point type");
public:
/** The type of the range of the distribution. */
typedef _RealType result_type;
/** Parameter type. */
struct param_type
{
typedef lognormal_distribution<_RealType> distribution_type;
explicit
param_type(_RealType __m = _RealType(0),
_RealType __s = _RealType(1))
: _M_m(__m), _M_s(__s)
{ }
_RealType
m() const
{ return _M_m; }
_RealType
s() const
{ return _M_s; }
private:
_RealType _M_m;
_RealType _M_s;
};
explicit
lognormal_distribution(_RealType __m = _RealType(0),
_RealType __s = _RealType(1))
: _M_param(__m, __s), _M_nd()
{ }
explicit
lognormal_distribution(const param_type& __p)
: _M_param(__p), _M_nd()
{ }
/**
* Resets the distribution state.
*/
void
reset()
{ _M_nd.reset(); }
/**
*
*/
_RealType
m() const
{ return _M_param.m(); }
_RealType
s() const
{ return _M_param.s(); }
/**
* @brief Returns the parameter set of the distribution.
*/
param_type
param() const
{ return _M_param; }
/**
* @brief Sets the parameter set of the distribution.
* @param __param The new parameter set of the distribution.
*/
void
param(const param_type& __param)
{ _M_param = __param; }
/**
* @brief Returns the greatest lower bound value of the distribution.
*/
result_type
min() const
{ return result_type(0); }
/**
* @brief Returns the least upper bound value of the distribution.
*/
result_type
max() const
{ return std::numeric_limits<result_type>::max(); }
template<typename _UniformRandomNumberGenerator>
result_type
operator()(_UniformRandomNumberGenerator& __urng)
{ return this->operator()(__urng, this->param()); }
template<typename _UniformRandomNumberGenerator>
result_type
operator()(_UniformRandomNumberGenerator& __urng,
const param_type& __p)
{ return std::exp(__p.s() * _M_nd(__urng) + __p.m()); }
/**
* @brief Inserts a %lognormal_distribution random number distribution
* @p __x into the output stream @p __os.
*
* @param __os An output stream.
* @param __x A %lognormal_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>&,
const std::lognormal_distribution<_RealType1>&);
/**
* @brief Extracts a %lognormal_distribution random number distribution
* @p __x from the input stream @p __is.
*
* @param __is An input stream.
* @param __x A %lognormal_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>&,
std::lognormal_distribution<_RealType1>&);
private:
param_type _M_param;
std::normal_distribution<result_type> _M_nd;
};
/**
* @brief A gamma continuous distribution for random numbers.
*
* The formula for the gamma probability density function is
* @f$ p(x|\alpha,\beta) = \frac{1}{\beta\Gamma(\alpha)}
* (x/\beta)^{\alpha - 1} e^{-x/\beta} @f$.
*/
template<typename _RealType = double>
class gamma_distribution
{
static_assert(std::is_floating_point<_RealType>::value,
"template argument not a floating point type");
public:
/** The type of the range of the distribution. */
typedef _RealType result_type;
/** Parameter type. */
struct param_type
{
typedef gamma_distribution<_RealType> distribution_type;
friend class gamma_distribution<_RealType>;
explicit
param_type(_RealType __alpha_val = _RealType(1),
_RealType __beta_val = _RealType(1))
: _M_alpha(__alpha_val), _M_beta(__beta_val)
{
_GLIBCXX_DEBUG_ASSERT(_M_alpha > _RealType(0));
_M_initialize();
}
_RealType
alpha() const
{ return _M_alpha; }
_RealType
beta() const
{ return _M_beta; }
private:
void
_M_initialize();
_RealType _M_alpha;
_RealType _M_beta;
_RealType _M_malpha, _M_a2;
};
public:
/**
* @brief Constructs a gamma distribution with parameters
* @f$ \alpha @f$ and @f$ \beta @f$.
*/
explicit
gamma_distribution(_RealType __alpha_val = _RealType(1),
_RealType __beta_val = _RealType(1))
: _M_param(__alpha_val, __beta_val), _M_nd()
{ }
explicit
gamma_distribution(const param_type& __p)
: _M_param(__p), _M_nd()
{ }
/**
* @brief Resets the distribution state.
*/
void
reset()
{ _M_nd.reset(); }
/**
* @brief Returns the @f$ \alpha @f$ of the distribution.
*/
_RealType
alpha() const
{ return _M_param.alpha(); }
/**
* @brief Returns the @f$ \beta @f$ of the distribution.
*/
_RealType
beta() const
{ return _M_param.beta(); }
/**
* @brief Returns the parameter set of the distribution.
*/
param_type
param() const
{ return _M_param; }
/**
* @brief Sets the parameter set of the distribution.
* @param __param The new parameter set of the distribution.
*/
void
param(const param_type& __param)
{ _M_param = __param; }
/**
* @brief Returns the greatest lower bound value of the distribution.
*/
result_type
min() const
{ return result_type(0); }
/**
* @brief Returns the least upper bound value of the distribution.
*/
result_type
max() const
{ return std::numeric_limits<result_type>::max(); }
template<typename _UniformRandomNumberGenerator>
result_type
operator()(_UniformRandomNumberGenerator& __urng)
{ return this->operator()(__urng, this->param()); }
template<typename _UniformRandomNumberGenerator>
result_type
operator()(_UniformRandomNumberGenerator& __urng,
const param_type& __p);
/**
* @brief 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>&,
const std::gamma_distribution<_RealType1>&);
/**
* @brief 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 _RealType1, typename _CharT, typename _Traits>
friend std::basic_istream<_CharT, _Traits>&
operator>>(std::basic_istream<_CharT, _Traits>&,
std::gamma_distribution<_RealType1>&);
private:
param_type _M_param;
std::normal_distribution<result_type> _M_nd;
};
/**
* @brief A chi_squared_distribution random number distribution.
*
* The formula for the normal probability mass function is
* @f$ p(x|n) = \frac{x^{(n/2) - 1}e^{-x/2}}{\Gamma(n/2) 2^{n/2}} @f$
*/
template<typename _RealType = double>
class chi_squared_distribution
{
static_assert(std::is_floating_point<_RealType>::value,
"template argument not a floating point type");
public:
/** The type of the range of the distribution. */
typedef _RealType result_type;
/** Parameter type. */
struct param_type
{
typedef chi_squared_distribution<_RealType> distribution_type;
explicit
param_type(_RealType __n = _RealType(1))
: _M_n(__n)
{ }
_RealType
n() const
{ return _M_n; }
private:
_RealType _M_n;
};
explicit
chi_squared_distribution(_RealType __n = _RealType(1))
: _M_param(__n), _M_gd(__n / 2)
{ }
explicit
chi_squared_distribution(const param_type& __p)
: _M_param(__p), _M_gd(__p.n() / 2)
{ }
/**
* @brief Resets the distribution state.
*/
void
reset()
{ _M_gd.reset(); }
/**
*
*/
_RealType
n() const
{ return _M_param.n(); }
/**
* @brief Returns the parameter set of the distribution.
*/
param_type
param() const
{ return _M_param; }
/**
* @brief Sets the parameter set of the distribution.
* @param __param The new parameter set of the distribution.
*/
void
param(const param_type& __param)
{ _M_param = __param; }
/**
* @brief Returns the greatest lower bound value of the distribution.
*/
result_type
min() const
{ return result_type(0); }
/**
* @brief Returns the least upper bound value of the distribution.
*/
result_type
max() const
{ return std::numeric_limits<result_type>::max(); }
template<typename _UniformRandomNumberGenerator>
result_type
operator()(_UniformRandomNumberGenerator& __urng)
{ return 2 * _M_gd(__urng); }
template<typename _UniformRandomNumberGenerator>
result_type
operator()(_UniformRandomNumberGenerator& __urng,
const param_type& __p)
{
typedef typename std::gamma_distribution<result_type>::param_type
param_type;
return 2 * _M_gd(__urng, param_type(__p.n() / 2));
}
/**
* @brief Inserts a %chi_squared_distribution random number distribution
* @p __x into the output stream @p __os.
*
* @param __os An output stream.
* @param __x A %chi_squared_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>&,
const std::chi_squared_distribution<_RealType1>&);
/**
* @brief Extracts a %chi_squared_distribution random number distribution
* @p __x from the input stream @p __is.
*
* @param __is An input stream.
* @param __x A %chi_squared_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>&,
std::chi_squared_distribution<_RealType1>&);
private:
param_type _M_param;
std::gamma_distribution<result_type> _M_gd;
};
/**
* @brief A cauchy_distribution random number distribution.
*
* The formula for the normal probability mass function is
* @f$ p(x|a,b) = (\pi b (1 + (\frac{x-a}{b})^2))^{-1} @f$
*/
template<typename _RealType = double>
class cauchy_distribution
{
static_assert(std::is_floating_point<_RealType>::value,
"template argument not a floating point type");
public:
/** The type of the range of the distribution. */
typedef _RealType result_type;
/** Parameter type. */
struct param_type
{
typedef cauchy_distribution<_RealType> distribution_type;
explicit
param_type(_RealType __a = _RealType(0),
_RealType __b = _RealType(1))
: _M_a(__a), _M_b(__b)
{ }
_RealType
a() const
{ return _M_a; }
_RealType
b() const
{ return _M_b; }
private:
_RealType _M_a;
_RealType _M_b;
};
explicit
cauchy_distribution(_RealType __a = _RealType(0),
_RealType __b = _RealType(1))
: _M_param(__a, __b)
{ }
explicit
cauchy_distribution(const param_type& __p)
: _M_param(__p)
{ }
/**
* @brief Resets the distribution state.
*/
void
reset()
{ }
/**
*
*/
_RealType
a() const
{ return _M_param.a(); }
_RealType
b() const
{ return _M_param.b(); }
/**
* @brief Returns the parameter set of the distribution.
*/
param_type
param() const
{ return _M_param; }
/**
* @brief Sets the parameter set of the distribution.
* @param __param The new parameter set of the distribution.
*/
void
param(const param_type& __param)
{ _M_param = __param; }
/**
* @brief Returns the greatest lower bound value of the distribution.
*/
result_type
min() const
{ return std::numeric_limits<result_type>::min(); }
/**
* @brief Returns the least upper bound value of the distribution.
*/
result_type
max() const
{ return std::numeric_limits<result_type>::max(); }
template<typename _UniformRandomNumberGenerator>
result_type
operator()(_UniformRandomNumberGenerator& __urng)
{ return this->operator()(__urng, this->param()); }
template<typename _UniformRandomNumberGenerator>
result_type
operator()(_UniformRandomNumberGenerator& __urng,
const param_type& __p);
private:
param_type _M_param;
};
/**
* @brief Inserts a %cauchy_distribution random number distribution
* @p __x into the output stream @p __os.
*
* @param __os An output stream.
* @param __x A %cauchy_distribution random number distribution.
*
* @returns The output stream with the state of @p __x inserted or in
* an error state.
*/
template<typename _RealType, typename _CharT, typename _Traits>
std::basic_ostream<_CharT, _Traits>&
operator<<(std::basic_ostream<_CharT, _Traits>&,
const std::cauchy_distribution<_RealType>&);
/**
* @brief Extracts a %cauchy_distribution random number distribution
* @p __x from the input stream @p __is.
*
* @param __is An input stream.
* @param __x A %cauchy_distribution random number
* generator engine.
*
* @returns The input stream with @p __x extracted or in an error state.
*/
template<typename _RealType, typename _CharT, typename _Traits>
std::basic_istream<_CharT, _Traits>&
operator>>(std::basic_istream<_CharT, _Traits>&,
std::cauchy_distribution<_RealType>&);
/**
* @brief A fisher_f_distribution random number distribution.
*
* The formula for the normal probability mass function is
* @f$ p(x|m,n) = \frac{\Gamma((m+n)/2)}{\Gamma(m/2)\Gamma(n/2)}
* (\frac{m}{n})^{m/2} x^{(m/2)-1}
* (1 + \frac{mx}{n})^{-(m+n)/2} @f$
*/
template<typename _RealType = double>
class fisher_f_distribution
{
static_assert(std::is_floating_point<_RealType>::value,
"template argument not a floating point type");
public:
/** The type of the range of the distribution. */
typedef _RealType result_type;
/** Parameter type. */
struct param_type
{
typedef fisher_f_distribution<_RealType> distribution_type;
explicit
param_type(_RealType __m = _RealType(1),
_RealType __n = _RealType(1))
: _M_m(__m), _M_n(__n)
{ }
_RealType
m() const
{ return _M_m; }
_RealType
n() const
{ return _M_n; }
private:
_RealType _M_m;
_RealType _M_n;
};
explicit
fisher_f_distribution(_RealType __m = _RealType(1),
_RealType __n = _RealType(1))
: _M_param(__m, __n), _M_gd_x(__m / 2), _M_gd_y(__n / 2)
{ }
explicit
fisher_f_distribution(const param_type& __p)
: _M_param(__p), _M_gd_x(__p.m() / 2), _M_gd_y(__p.n() / 2)
{ }
/**
* @brief Resets the distribution state.
*/
void
reset()
{
_M_gd_x.reset();
_M_gd_y.reset();
}
/**
*
*/
_RealType
m() const
{ return _M_param.m(); }
_RealType
n() const
{ return _M_param.n(); }
/**
* @brief Returns the parameter set of the distribution.
*/
param_type
param() const
{ return _M_param; }
/**
* @brief Sets the parameter set of the distribution.
* @param __param The new parameter set of the distribution.
*/
void
param(const param_type& __param)
{ _M_param = __param; }
/**
* @brief Returns the greatest lower bound value of the distribution.
*/
result_type
min() const
{ return result_type(0); }
/**
* @brief Returns the least upper bound value of the distribution.
*/
result_type
max() const
{ return std::numeric_limits<result_type>::max(); }
template<typename _UniformRandomNumberGenerator>
result_type
operator()(_UniformRandomNumberGenerator& __urng)
{ return (_M_gd_x(__urng) * n()) / (_M_gd_y(__urng) * m()); }
template<typename _UniformRandomNumberGenerator>
result_type
operator()(_UniformRandomNumberGenerator& __urng,
const param_type& __p)
{
typedef typename std::gamma_distribution<result_type>::param_type
param_type;
return ((_M_gd_x(__urng, param_type(__p.m() / 2)) * n())
/ (_M_gd_y(__urng, param_type(__p.n() / 2)) * m()));
}
/**
* @brief Inserts a %fisher_f_distribution random number distribution
* @p __x into the output stream @p __os.
*
* @param __os An output stream.
* @param __x A %fisher_f_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>&,
const std::fisher_f_distribution<_RealType1>&);
/**
* @brief Extracts a %fisher_f_distribution random number distribution
* @p __x from the input stream @p __is.
*
* @param __is An input stream.
* @param __x A %fisher_f_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>&,
std::fisher_f_distribution<_RealType1>&);
private:
param_type _M_param;
std::gamma_distribution<result_type> _M_gd_x, _M_gd_y;
};
/**
* @brief A student_t_distribution random number distribution.
*
* The formula for the normal probability mass function is
* @f$ p(x|n) = \frac{1}{\sqrt(n\pi)} \frac{\Gamma((n+1)/2)}{\Gamma(n/2)}
* (1 + \frac{x^2}{n}) ^{-(n+1)/2} @f$
*/
template<typename _RealType = double>
class student_t_distribution
{
static_assert(std::is_floating_point<_RealType>::value,
"template argument not a floating point type");
public:
/** The type of the range of the distribution. */
typedef _RealType result_type;
/** Parameter type. */
struct param_type
{
typedef student_t_distribution<_RealType> distribution_type;
explicit
param_type(_RealType __n = _RealType(1))
: _M_n(__n)
{ }
_RealType
n() const
{ return _M_n; }
private:
_RealType _M_n;
};
explicit
student_t_distribution(_RealType __n = _RealType(1))
: _M_param(__n), _M_nd(), _M_gd(__n / 2, 2)
{ }
explicit
student_t_distribution(const param_type& __p)
: _M_param(__p), _M_nd(), _M_gd(__p.n() / 2, 2)
{ }
/**
* @brief Resets the distribution state.
*/
void
reset()
{
_M_nd.reset();
_M_gd.reset();
}
/**
*
*/
_RealType
n() const
{ return _M_param.n(); }
/**
* @brief Returns the parameter set of the distribution.
*/
param_type
param() const
{ return _M_param; }
/**
* @brief Sets the parameter set of the distribution.
* @param __param The new parameter set of the distribution.
*/
void
param(const param_type& __param)
{ _M_param = __param; }
/**
* @brief Returns the greatest lower bound value of the distribution.
*/
result_type
min() const
{ return std::numeric_limits<result_type>::min(); }
/**
* @brief Returns the least upper bound value of the distribution.
*/
result_type
max() const
{ return std::numeric_limits<result_type>::max(); }
template<typename _UniformRandomNumberGenerator>
result_type
operator()(_UniformRandomNumberGenerator& __urng)
{ return _M_nd(__urng) * std::sqrt(n() / _M_gd(__urng)); }
template<typename _UniformRandomNumberGenerator>
result_type
operator()(_UniformRandomNumberGenerator& __urng,
const param_type& __p)
{
typedef typename std::gamma_distribution<result_type>::param_type
param_type;
const result_type __g = _M_gd(__urng, param_type(__p.n() / 2, 2));
return _M_nd(__urng) * std::sqrt(__p.n() / __g);
}
/**
* @brief Inserts a %student_t_distribution random number distribution
* @p __x into the output stream @p __os.
*
* @param __os An output stream.
* @param __x A %student_t_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>&,
const std::student_t_distribution<_RealType1>&);
/**
* @brief Extracts a %student_t_distribution random number distribution
* @p __x from the input stream @p __is.
*
* @param __is An input stream.
* @param __x A %student_t_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>&,
std::student_t_distribution<_RealType1>&);
private:
param_type _M_param;
std::normal_distribution<result_type> _M_nd;
std::gamma_distribution<result_type> _M_gd;
};
/* @} */ // group std_random_distributions_normal
/**
* @addtogroup std_random_distributions_bernoulli Bernoulli Distributions
* @ingroup std_random_distributions
* @{
*/
/**
* @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:
/** The type of the range of the distribution. */
typedef bool result_type;
/** Parameter type. */
struct param_type
{
typedef bernoulli_distribution distribution_type;
explicit
param_type(double __p = 0.5)
: _M_p(__p)
{
_GLIBCXX_DEBUG_ASSERT((_M_p >= 0.0) && (_M_p <= 1.0));
}
double
p() const
{ return _M_p; }
private:
double _M_p;
};
public:
/**
* @brief 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_param(__p)
{ }
explicit
bernoulli_distribution(const param_type& __p)
: _M_param(__p)
{ }
/**
* @brief Resets the distribution state.
*
* Does nothing for a Bernoulli distribution.
*/
void
reset() { }
/**
* @brief Returns the @p p parameter of the distribution.
*/
double
p() const
{ return _M_param.p(); }
/**
* @brief Returns the parameter set of the distribution.
*/
param_type
param() const
{ return _M_param; }
/**
* @brief Sets the parameter set of the distribution.
* @param __param The new parameter set of the distribution.
*/
void
param(const param_type& __param)
{ _M_param = __param; }
/**
* @brief Returns the greatest lower bound value of the distribution.
*/
result_type
min() const
{ return std::numeric_limits<result_type>::min(); }
/**
* @brief Returns the least upper bound value of the distribution.
*/
result_type
max() const
{ return std::numeric_limits<result_type>::max(); }
/**
* @brief Returns the next value in the Bernoullian sequence.
*/
template<typename _UniformRandomNumberGenerator>
result_type
operator()(_UniformRandomNumberGenerator& __urng)
{ return this->operator()(__urng, this->param()); }
template<typename _UniformRandomNumberGenerator>
result_type
operator()(_UniformRandomNumberGenerator& __urng,
const param_type& __p)
{
__detail::_Adaptor<_UniformRandomNumberGenerator, double>
__aurng(__urng);
if ((__aurng() - __aurng.min())
< __p.p() * (__aurng.max() - __aurng.min()))
return true;
return false;
}
private:
param_type _M_param;
};
/**
* @brief 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>
std::basic_ostream<_CharT, _Traits>&
operator<<(std::basic_ostream<_CharT, _Traits>&,
const std::bernoulli_distribution&);
/**
* @brief 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>
std::basic_istream<_CharT, _Traits>&
operator>>(std::basic_istream<_CharT, _Traits>& __is,
std::bernoulli_distribution& __x)
{
double __p;
__is >> __p;
__x.param(bernoulli_distribution::param_type(__p));
return __is;
}
/**
* @brief A discrete binomial random number distribution.
*
* The formula for the binomial probability density function is
* @f$ p(i|t,p) = \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>
class binomial_distribution
{
static_assert(std::is_integral<_IntType>::value,
"template argument not an integral type");
public:
/** The type of the range of the distribution. */
typedef _IntType result_type;
/** Parameter type. */
struct param_type
{
typedef binomial_distribution<_IntType> distribution_type;
friend class binomial_distribution<_IntType>;
explicit
param_type(_IntType __t = _IntType(1), double __p = 0.5)
: _M_t(__t), _M_p(__p)
{
_GLIBCXX_DEBUG_ASSERT((_M_t >= _IntType(0))
&& (_M_p >= 0.0)
&& (_M_p <= 1.0));
_M_initialize();
}
_IntType
t() const
{ return _M_t; }
double
p() const
{ return _M_p; }
private:
void
_M_initialize();
_IntType _M_t;
double _M_p;
double _M_q;
#if _GLIBCXX_USE_C99_MATH_TR1
double _M_d1, _M_d2, _M_s1, _M_s2, _M_c,
_M_a1, _M_a123, _M_s, _M_lf, _M_lp1p;
#endif
bool _M_easy;
};
// constructors and member function
explicit
binomial_distribution(_IntType __t = _IntType(1),
double __p = 0.5)
: _M_param(__t, __p), _M_nd()
{ }
explicit
binomial_distribution(const param_type& __p)
: _M_param(__p), _M_nd()
{ }
/**
* @brief Resets the distribution state.
*/
void
reset()
{ _M_nd.reset(); }
/**
* @brief Returns the distribution @p t parameter.
*/
_IntType
t() const
{ return _M_param.t(); }
/**
* @brief Returns the distribution @p p parameter.
*/
double
p() const
{ return _M_param.p(); }
/**
* @brief Returns the parameter set of the distribution.
*/
param_type
param() const
{ return _M_param; }
/**
* @brief Sets the parameter set of the distribution.
* @param __param The new parameter set of the distribution.
*/
void
param(const param_type& __param)
{ _M_param = __param; }
/**
* @brief Returns the greatest lower bound value of the distribution.
*/
result_type
min() const
{ return 0; }
/**
* @brief Returns the least upper bound value of the distribution.
*/
result_type
max() const
{ return _M_param.t(); }
template<typename _UniformRandomNumberGenerator>
result_type
operator()(_UniformRandomNumberGenerator& __urng)
{ return this->operator()(__urng, this->param()); }
template<typename _UniformRandomNumberGenerator>
result_type
operator()(_UniformRandomNumberGenerator& __urng,
const param_type& __p);
/**
* @brief 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 _CharT, typename _Traits>
friend std::basic_ostream<_CharT, _Traits>&
operator<<(std::basic_ostream<_CharT, _Traits>&,
const std::binomial_distribution<_IntType1>&);
/**
* @brief 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 _CharT, typename _Traits>
friend std::basic_istream<_CharT, _Traits>&
operator>>(std::basic_istream<_CharT, _Traits>&,
std::binomial_distribution<_IntType1>&);
private:
template<typename _UniformRandomNumberGenerator>
result_type
_M_waiting(_UniformRandomNumberGenerator& __urng, _IntType __t);
param_type _M_param;
// NB: Unused when _GLIBCXX_USE_C99_MATH_TR1 is undefined.
std::normal_distribution<double> _M_nd;
};
/**
* @brief A discrete geometric random number distribution.
*
* The formula for the geometric probability density function is
* @f$ p(i|p) = (1 - p)p^{i-1} @f$ where @f$ p @f$ is the parameter of the
* distribution.
*/
template<typename _IntType = int>
class geometric_distribution
{
static_assert(std::is_integral<_IntType>::value,
"template argument not an integral type");
public:
/** The type of the range of the distribution. */
typedef _IntType result_type;
/** Parameter type. */
struct param_type
{
typedef geometric_distribution<_IntType> distribution_type;
friend class geometric_distribution<_IntType>;
explicit
param_type(double __p = 0.5)
: _M_p(__p)
{
_GLIBCXX_DEBUG_ASSERT((_M_p >= 0.0)
&& (_M_p <= 1.0));
_M_initialize();
}
double
p() const
{ return _M_p; }
private:
void
_M_initialize()
{ _M_log_p = std::log(_M_p); }
double _M_p;
double _M_log_p;
};
// constructors and member function
explicit
geometric_distribution(double __p = 0.5)
: _M_param(__p)
{ }
explicit
geometric_distribution(const param_type& __p)
: _M_param(__p)
{ }
/**
* @brief Resets the distribution state.
*
* Does nothing for the geometric distribution.
*/
void
reset() { }
/**
* @brief Returns the distribution parameter @p p.
*/
double
p() const
{ return _M_param.p(); }
/**
* @brief Returns the parameter set of the distribution.
*/
param_type
param() const
{ return _M_param; }
/**
* @brief Sets the parameter set of the distribution.
* @param __param The new parameter set of the distribution.
*/
void
param(const param_type& __param)
{ _M_param = __param; }
/**
* @brief Returns the greatest lower bound value of the distribution.
*/
result_type
min() const
{ return 0; }
/**
* @brief Returns the least upper bound value of the distribution.
*/
result_type
max() const
{ return std::numeric_limits<result_type>::max(); }
template<typename _UniformRandomNumberGenerator>
result_type
operator()(_UniformRandomNumberGenerator& __urng)
{ return this->operator()(__urng, this->param()); }
template<typename _UniformRandomNumberGenerator>
result_type
operator()(_UniformRandomNumberGenerator& __urng,
const param_type& __p);
private:
param_type _M_param;
};
/**
* @brief 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 _IntType,
typename _CharT, typename _Traits>
std::basic_ostream<_CharT, _Traits>&
operator<<(std::basic_ostream<_CharT, _Traits>&,
const std::geometric_distribution<_IntType>&);
/**
* @brief 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 _IntType,
typename _CharT, typename _Traits>
std::basic_istream<_CharT, _Traits>&
operator>>(std::basic_istream<_CharT, _Traits>&,
std::geometric_distribution<_IntType>&);
/**
* @brief A negative_binomial_distribution random number distribution.
*
* The formula for the negative 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>
class negative_binomial_distribution
{
static_assert(std::is_integral<_IntType>::value,
"template argument not an integral type");
public:
/** The type of the range of the distribution. */
typedef _IntType result_type;
/** Parameter type. */
struct param_type
{
typedef negative_binomial_distribution<_IntType> distribution_type;
explicit
param_type(_IntType __k = 1, double __p = 0.5)
: _M_k(__k), _M_p(__p)
{ }
_IntType
k() const
{ return _M_k; }
double
p() const
{ return _M_p; }
private:
_IntType _M_k;
double _M_p;
};
explicit
negative_binomial_distribution(_IntType __k = 1, double __p = 0.5)
: _M_param(__k, __p), _M_gd(__k, __p / (1.0 - __p))
{ }
explicit
negative_binomial_distribution(const param_type& __p)
: _M_param(__p), _M_gd(__p.k(), __p.p() / (1.0 - __p.p()))
{ }
/**
* @brief Resets the distribution state.
*/
void
reset()
{ _M_gd.reset(); }
/**
* @brief Return the @f$ k @f$ parameter of the distribution.
*/
_IntType
k() const
{ return _M_param.k(); }
/**
* @brief Return the @f$ p @f$ parameter of the distribution.
*/
double
p() const
{ return _M_param.p(); }
/**
* @brief Returns the parameter set of the distribution.
*/
param_type
param() const
{ return _M_param; }
/**
* @brief Sets the parameter set of the distribution.
* @param __param The new parameter set of the distribution.
*/
void
param(const param_type& __param)
{ _M_param = __param; }
/**
* @brief Returns the greatest lower bound value of the distribution.
*/
result_type
min() const
{ return result_type(0); }
/**
* @brief Returns the least upper bound value of the distribution.
*/
result_type
max() const
{ return std::numeric_limits<result_type>::max(); }
template<typename _UniformRandomNumberGenerator>
result_type
operator()(_UniformRandomNumberGenerator& __urng);
template<typename _UniformRandomNumberGenerator>
result_type
operator()(_UniformRandomNumberGenerator& __urng,
const param_type& __p);
/**
* @brief Inserts a %negative_binomial_distribution random
* number distribution @p __x into the output stream @p __os.
*
* @param __os An output stream.
* @param __x A %negative_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 _CharT, typename _Traits>
friend std::basic_ostream<_CharT, _Traits>&
operator<<(std::basic_ostream<_CharT, _Traits>&,
const std::negative_binomial_distribution<_IntType1>&);
/**
* @brief Extracts a %negative_binomial_distribution random number
* distribution @p __x from the input stream @p __is.
*
* @param __is An input stream.
* @param __x A %negative_binomial_distribution 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>&,
std::negative_binomial_distribution<_IntType1>&);
private:
param_type _M_param;
std::gamma_distribution<double> _M_gd;
};
/* @} */ // group std_random_distributions_bernoulli
/**
* @addtogroup std_random_distributions_poisson Poisson Distributions
* @ingroup std_random_distributions
* @{
*/
/**
* @brief A discrete Poisson random number distribution.
*
* The formula for the Poisson probability density function is
* @f$ p(i|\mu) = \frac{\mu^i}{i!} e^{-\mu} @f$ where @f$ \mu @f$ is the
* parameter of the distribution.
*/
template<typename _IntType = int>
class poisson_distribution
{
static_assert(std::is_integral<_IntType>::value,
"template argument not an integral type");
public:
/** The type of the range of the distribution. */
typedef _IntType result_type;
/** Parameter type. */
struct param_type
{
typedef poisson_distribution<_IntType> distribution_type;
friend class poisson_distribution<_IntType>;
explicit
param_type(double __mean = 1.0)
: _M_mean(__mean)
{
_GLIBCXX_DEBUG_ASSERT(_M_mean > 0.0);
_M_initialize();
}
double
mean() const
{ return _M_mean; }
private:
// Hosts either log(mean) or the threshold of the simple method.
void
_M_initialize();
double _M_mean;
double _M_lm_thr;
#if _GLIBCXX_USE_C99_MATH_TR1
double _M_lfm, _M_sm, _M_d, _M_scx, _M_1cx, _M_c2b, _M_cb;
#endif
};
// constructors and member function
explicit
poisson_distribution(double __mean = 1.0)
: _M_param(__mean), _M_nd()
{ }
explicit
poisson_distribution(const param_type& __p)
: _M_param(__p), _M_nd()
{ }
/**
* @brief Resets the distribution state.
*/
void
reset()
{ _M_nd.reset(); }
/**
* @brief Returns the distribution parameter @p mean.
*/
double
mean() const
{ return _M_param.mean(); }
/**
* @brief Returns the parameter set of the distribution.
*/
param_type
param() const
{ return _M_param; }
/**
* @brief Sets the parameter set of the distribution.
* @param __param The new parameter set of the distribution.
*/
void
param(const param_type& __param)
{ _M_param = __param; }
/**
* @brief Returns the greatest lower bound value of the distribution.
*/
result_type
min() const
{ return 0; }
/**
* @brief Returns the least upper bound value of the distribution.
*/
result_type
max() const
{ return std::numeric_limits<result_type>::max(); }
template<typename _UniformRandomNumberGenerator>
result_type
operator()(_UniformRandomNumberGenerator& __urng)
{ return this->operator()(__urng, this->param()); }
template<typename _UniformRandomNumberGenerator>
result_type
operator()(_UniformRandomNumberGenerator& __urng,
const param_type& __p);
/**
* @brief 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 _CharT, typename _Traits>
friend std::basic_ostream<_CharT, _Traits>&
operator<<(std::basic_ostream<_CharT, _Traits>&,
const std::poisson_distribution<_IntType1>&);
/**
* @brief 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 _CharT, typename _Traits>
friend std::basic_istream<_CharT, _Traits>&
operator>>(std::basic_istream<_CharT, _Traits>&,
std::poisson_distribution<_IntType1>&);
private:
param_type _M_param;
// NB: Unused when _GLIBCXX_USE_C99_MATH_TR1 is undefined.
std::normal_distribution<double> _M_nd;
};
/**
* @brief An exponential continuous distribution for random numbers.
*
* The formula for the exponential probability density function is
* @f$ p(x|\lambda) = \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$</td></tr>
* </table>
*/
template<typename _RealType = double>
class exponential_distribution
{
static_assert(std::is_floating_point<_RealType>::value,
"template argument not a floating point type");
public:
/** The type of the range of the distribution. */
typedef _RealType result_type;
/** Parameter type. */
struct param_type
{
typedef exponential_distribution<_RealType> distribution_type;
explicit
param_type(_RealType __lambda = _RealType(1))
: _M_lambda(__lambda)
{
_GLIBCXX_DEBUG_ASSERT(_M_lambda > _RealType(0));
}
_RealType
lambda() const
{ return _M_lambda; }
private:
_RealType _M_lambda;
};
public:
/**
* @brief Constructs an exponential distribution with inverse scale
* parameter @f$ \lambda @f$.
*/
explicit
exponential_distribution(const result_type& __lambda = result_type(1))
: _M_param(__lambda)
{ }
explicit
exponential_distribution(const param_type& __p)
: _M_param(__p)
{ }
/**
* @brief Resets the distribution state.
*
* Has no effect on exponential distributions.
*/
void
reset() { }
/**
* @brief Returns the inverse scale parameter of the distribution.
*/
_RealType
lambda() const
{ return _M_param.lambda(); }
/**
* @brief Returns the parameter set of the distribution.
*/
param_type
param() const
{ return _M_param; }
/**
* @brief Sets the parameter set of the distribution.
* @param __param The new parameter set of the distribution.
*/
void
param(const param_type& __param)
{ _M_param = __param; }
/**
* @brief Returns the greatest lower bound value of the distribution.
*/
result_type
min() const
{ return result_type(0); }
/**
* @brief Returns the least upper bound value of the distribution.
*/
result_type
max() const
{ return std::numeric_limits<result_type>::max(); }
template<typename _UniformRandomNumberGenerator>
result_type
operator()(_UniformRandomNumberGenerator& __urng)
{ return this->operator()(__urng, this->param()); }
template<typename _UniformRandomNumberGenerator>
result_type
operator()(_UniformRandomNumberGenerator& __urng,
const param_type& __p)
{
__detail::_Adaptor<_UniformRandomNumberGenerator, result_type>
__aurng(__urng);
return -std::log(__aurng()) / __p.lambda();
}
private:
param_type _M_param;
};
/**
* @brief 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 _RealType, typename _CharT, typename _Traits>
std::basic_ostream<_CharT, _Traits>&
operator<<(std::basic_ostream<_CharT, _Traits>&,
const std::exponential_distribution<_RealType>&);
/**
* @brief 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 _RealType, typename _CharT, typename _Traits>
std::basic_istream<_CharT, _Traits>&
operator>>(std::basic_istream<_CharT, _Traits>&,
std::exponential_distribution<_RealType>&);
/**
* @brief A weibull_distribution random number distribution.
*
* The formula for the normal probability density function is
* @f$ p(x|\alpha,\beta) = \frac{\alpha}{\beta} (\frac{x}{\beta})^{\alpha-1}
* \exp{(-(\frac{x}{\beta})^\alpha)} @f$.
*/
template<typename _RealType = double>
class weibull_distribution
{
static_assert(std::is_floating_point<_RealType>::value,
"template argument not a floating point type");
public:
/** The type of the range of the distribution. */
typedef _RealType result_type;
/** Parameter type. */
struct param_type
{
typedef weibull_distribution<_RealType> distribution_type;
explicit
param_type(_RealType __a = _RealType(1),
_RealType __b = _RealType(1))
: _M_a(__a), _M_b(__b)
{ }
_RealType
a() const
{ return _M_a; }
_RealType
b() const
{ return _M_b; }
private:
_RealType _M_a;
_RealType _M_b;
};
explicit
weibull_distribution(_RealType __a = _RealType(1),
_RealType __b = _RealType(1))
: _M_param(__a, __b)
{ }
explicit
weibull_distribution(const param_type& __p)
: _M_param(__p)
{ }
/**
* @brief Resets the distribution state.
*/
void
reset()
{ }
/**
* @brief Return the @f$ a @f$ parameter of the distribution.
*/
_RealType
a() const
{ return _M_param.a(); }
/**
* @brief Return the @f$ b @f$ parameter of the distribution.
*/
_RealType
b() const
{ return _M_param.b(); }
/**
* @brief Returns the parameter set of the distribution.
*/
param_type
param() const
{ return _M_param; }
/**
* @brief Sets the parameter set of the distribution.
* @param __param The new parameter set of the distribution.
*/
void
param(const param_type& __param)
{ _M_param = __param; }
/**
* @brief Returns the greatest lower bound value of the distribution.
*/
result_type
min() const
{ return result_type(0); }
/**
* @brief Returns the least upper bound value of the distribution.
*/
result_type
max() const
{ return std::numeric_limits<result_type>::max(); }
template<typename _UniformRandomNumberGenerator>
result_type
operator()(_UniformRandomNumberGenerator& __urng)
{ return this->operator()(__urng, this->param()); }
template<typename _UniformRandomNumberGenerator>
result_type
operator()(_UniformRandomNumberGenerator& __urng,
const param_type& __p);
private:
param_type _M_param;
};
/**
* @brief Inserts a %weibull_distribution random number distribution
* @p __x into the output stream @p __os.
*
* @param __os An output stream.
* @param __x A %weibull_distribution random number distribution.
*
* @returns The output stream with the state of @p __x inserted or in
* an error state.
*/
template<typename _RealType, typename _CharT, typename _Traits>
std::basic_ostream<_CharT, _Traits>&
operator<<(std::basic_ostream<_CharT, _Traits>&,
const std::weibull_distribution<_RealType>&);
/**
* @brief Extracts a %weibull_distribution random number distribution
* @p __x from the input stream @p __is.
*
* @param __is An input stream.
* @param __x A %weibull_distribution random number
* generator engine.
*
* @returns The input stream with @p __x extracted or in an error state.
*/
template<typename _RealType, typename _CharT, typename _Traits>
std::basic_istream<_CharT, _Traits>&
operator>>(std::basic_istream<_CharT, _Traits>&,
std::weibull_distribution<_RealType>&);
/**
* @brief A extreme_value_distribution random number distribution.
*
* The formula for the normal probability mass function is
* @f$ p(x|a,b) = \frac{1}{b}
* \exp( \frac{a-x}{b} - \exp(\frac{a-x}{b})) @f$
*/
template<typename _RealType = double>
class extreme_value_distribution
{
static_assert(std::is_floating_point<_RealType>::value,
"template argument not a floating point type");
public:
/** The type of the range of the distribution. */
typedef _RealType result_type;
/** Parameter type. */
struct param_type
{
typedef extreme_value_distribution<_RealType> distribution_type;
explicit
param_type(_RealType __a = _RealType(0),
_RealType __b = _RealType(1))
: _M_a(__a), _M_b(__b)
{ }
_RealType
a() const
{ return _M_a; }
_RealType
b() const
{ return _M_b; }
private:
_RealType _M_a;
_RealType _M_b;
};
explicit
extreme_value_distribution(_RealType __a = _RealType(0),
_RealType __b = _RealType(1))
: _M_param(__a, __b)
{ }
explicit
extreme_value_distribution(const param_type& __p)
: _M_param(__p)
{ }
/**
* @brief Resets the distribution state.
*/
void
reset()
{ }
/**
* @brief Return the @f$ a @f$ parameter of the distribution.
*/
_RealType
a() const
{ return _M_param.a(); }
/**
* @brief Return the @f$ b @f$ parameter of the distribution.
*/
_RealType
b() const
{ return _M_param.b(); }
/**
* @brief Returns the parameter set of the distribution.
*/
param_type
param() const
{ return _M_param; }
/**
* @brief Sets the parameter set of the distribution.
* @param __param The new parameter set of the distribution.
*/
void
param(const param_type& __param)
{ _M_param = __param; }
/**
* @brief Returns the greatest lower bound value of the distribution.
*/
result_type
min() const
{ return std::numeric_limits<result_type>::min(); }
/**
* @brief Returns the least upper bound value of the distribution.
*/
result_type
max() const
{ return std::numeric_limits<result_type>::max(); }
template<typename _UniformRandomNumberGenerator>
result_type
operator()(_UniformRandomNumberGenerator& __urng)
{ return this->operator()(__urng, this->param()); }
template<typename _UniformRandomNumberGenerator>
result_type
operator()(_UniformRandomNumberGenerator& __urng,
const param_type& __p);
private:
param_type _M_param;
};
/**
* @brief Inserts a %extreme_value_distribution random number distribution
* @p __x into the output stream @p __os.
*
* @param __os An output stream.
* @param __x A %extreme_value_distribution random number distribution.
*
* @returns The output stream with the state of @p __x inserted or in
* an error state.
*/
template<typename _RealType, typename _CharT, typename _Traits>
std::basic_ostream<_CharT, _Traits>&
operator<<(std::basic_ostream<_CharT, _Traits>&,
const std::extreme_value_distribution<_RealType>&);
/**
* @brief Extracts a %extreme_value_distribution random number
* distribution @p __x from the input stream @p __is.
*
* @param __is An input stream.
* @param __x A %extreme_value_distribution random number
* generator engine.
*
* @returns The input stream with @p __x extracted or in an error state.
*/
template<typename _RealType, typename _CharT, typename _Traits>
std::basic_istream<_CharT, _Traits>&
operator>>(std::basic_istream<_CharT, _Traits>&,
std::extreme_value_distribution<_RealType>&);
/**
* @brief A discrete_distribution random number distribution.
*
* The formula for the discrete probability mass function is
*
*/
template<typename _IntType = int>
class discrete_distribution
{
static_assert(std::is_integral<_IntType>::value,
"template argument not an integral type");
public:
/** The type of the range of the distribution. */
typedef _IntType result_type;
/** Parameter type. */
struct param_type
{
typedef discrete_distribution<_IntType> distribution_type;
friend class discrete_distribution<_IntType>;
param_type()
: _M_prob(), _M_cp()
{ _M_initialize(); }
template<typename _InputIterator>
param_type(_InputIterator __wbegin,
_InputIterator __wend)
: _M_prob(__wbegin, __wend), _M_cp()
{ _M_initialize(); }
param_type(initializer_list<double> __wil)
: _M_prob(__wil.begin(), __wil.end()), _M_cp()
{ _M_initialize(); }
template<typename _Func>
param_type(size_t __nw, double __xmin, double __xmax,
_Func __fw);
std::vector<double>
probabilities() const
{ return _M_prob; }
private:
void
_M_initialize();
std::vector<double> _M_prob;
std::vector<double> _M_cp;
};
discrete_distribution()
: _M_param()
{ }
template<typename _InputIterator>
discrete_distribution(_InputIterator __wbegin,
_InputIterator __wend)
: _M_param(__wbegin, __wend)
{ }
discrete_distribution(initializer_list<double> __wl)
: _M_param(__wl)
{ }
template<typename _Func>
discrete_distribution(size_t __nw, double __xmin, double __xmax,
_Func __fw)
: _M_param(__nw, __xmin, __xmax, __fw)
{ }
explicit
discrete_distribution(const param_type& __p)
: _M_param(__p)
{ }
/**
* @brief Resets the distribution state.
*/
void
reset()
{ }
/**
* @brief Returns the probabilities of the distribution.
*/
std::vector<double>
probabilities() const
{ return _M_param.probabilities(); }
/**
* @brief Returns the parameter set of the distribution.
*/
param_type
param() const
{ return _M_param; }
/**
* @brief Sets the parameter set of the distribution.
* @param __param The new parameter set of the distribution.
*/
void
param(const param_type& __param)
{ _M_param = __param; }
/**
* @brief Returns the greatest lower bound value of the distribution.
*/
result_type
min() const
{ return result_type(0); }
/**
* @brief Returns the least upper bound value of the distribution.
*/
result_type
max() const
{ return this->_M_param._M_prob.size() - 1; }
template<typename _UniformRandomNumberGenerator>
result_type
operator()(_UniformRandomNumberGenerator& __urng)
{ return this->operator()(__urng, this->param()); }
template<typename _UniformRandomNumberGenerator>
result_type
operator()(_UniformRandomNumberGenerator& __urng,
const param_type& __p);
/**
* @brief Inserts a %discrete_distribution random number distribution
* @p __x into the output stream @p __os.
*
* @param __os An output stream.
* @param __x A %discrete_distribution 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>&,
const std::discrete_distribution<_IntType1>&);
/**
* @brief Extracts a %discrete_distribution random number distribution
* @p __x from the input stream @p __is.
*
* @param __is An input stream.
* @param __x A %discrete_distribution 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>&,
std::discrete_distribution<_IntType1>&);
private:
param_type _M_param;
};
/**
* @brief A piecewise_constant_distribution random number distribution.
*
* The formula for the piecewise constant probability mass function is
*
*/
template<typename _RealType = double>
class piecewise_constant_distribution
{
static_assert(std::is_floating_point<_RealType>::value,
"template argument not a floating point type");
public:
/** The type of the range of the distribution. */
typedef _RealType result_type;
/** Parameter type. */
struct param_type
{
typedef piecewise_constant_distribution<_RealType> distribution_type;
friend class piecewise_constant_distribution<_RealType>;
param_type()
: _M_int(), _M_den(), _M_cp()
{ _M_initialize(); }
template<typename _InputIteratorB, typename _InputIteratorW>
param_type(_InputIteratorB __bfirst,
_InputIteratorB __bend,
_InputIteratorW __wbegin);
template<typename _Func>
param_type(initializer_list<_RealType> __bi, _Func __fw);
template<typename _Func>
param_type(size_t __nw, _RealType __xmin, _RealType __xmax,
_Func __fw);
std::vector<_RealType>
intervals() const
{ return _M_int; }
std::vector<double>
densities() const
{ return _M_den; }
private:
void
_M_initialize();
std::vector<_RealType> _M_int;
std::vector<double> _M_den;
std::vector<double> _M_cp;
};
explicit
piecewise_constant_distribution()
: _M_param()
{ }
template<typename _InputIteratorB, typename _InputIteratorW>
piecewise_constant_distribution(_InputIteratorB __bfirst,
_InputIteratorB __bend,
_InputIteratorW __wbegin)
: _M_param(__bfirst, __bend, __wbegin)
{ }
template<typename _Func>
piecewise_constant_distribution(initializer_list<_RealType> __bl,
_Func __fw)
: _M_param(__bl, __fw)
{ }
template<typename _Func>
piecewise_constant_distribution(size_t __nw,
_RealType __xmin, _RealType __xmax,
_Func __fw)
: _M_param(__nw, __xmin, __xmax, __fw)
{ }
explicit
piecewise_constant_distribution(const param_type& __p)
: _M_param(__p)
{ }
/**
* @brief Resets the distribution state.
*/
void
reset()
{ }
/**
* @brief Returns a vector of the intervals.
*/
std::vector<_RealType>
intervals() const
{ return _M_param.intervals(); }
/**
* @brief Returns a vector of the probability densities.
*/
std::vector<double>
densities() const
{ return _M_param.densities(); }
/**
* @brief Returns the parameter set of the distribution.
*/
param_type
param() const
{ return _M_param; }
/**
* @brief Sets the parameter set of the distribution.
* @param __param The new parameter set of the distribution.
*/
void
param(const param_type& __param)
{ _M_param = __param; }
/**
* @brief Returns the greatest lower bound value of the distribution.
*/
result_type
min() const
{ return this->_M_param._M_int.front(); }
/**
* @brief Returns the least upper bound value of the distribution.
*/
result_type
max() const
{ return this->_M_param._M_int.back(); }
template<typename _UniformRandomNumberGenerator>
result_type
operator()(_UniformRandomNumberGenerator& __urng)
{ return this->operator()(__urng, this->param()); }
template<typename _UniformRandomNumberGenerator>
result_type
operator()(_UniformRandomNumberGenerator& __urng,
const param_type& __p);
/**
* @brief Inserts a %piecewise_constan_distribution random
* number distribution @p __x into the output stream @p __os.
*
* @param __os An output stream.
* @param __x A %piecewise_constan_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>&,
const std::piecewise_constant_distribution<_RealType1>&);
/**
* @brief Extracts a %piecewise_constan_distribution random
* number distribution @p __x from the input stream @p __is.
*
* @param __is An input stream.
* @param __x A %piecewise_constan_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>&,
std::piecewise_constant_distribution<_RealType1>&);
private:
param_type _M_param;
};
/**
* @brief A piecewise_linear_distribution random number distribution.
*
* The formula for the piecewise linear probability mass function is
*
*/
template<typename _RealType = double>
class piecewise_linear_distribution
{
static_assert(std::is_floating_point<_RealType>::value,
"template argument not a floating point type");
public:
/** The type of the range of the distribution. */
typedef _RealType result_type;
/** Parameter type. */
struct param_type
{
typedef piecewise_linear_distribution<_RealType> distribution_type;
friend class piecewise_linear_distribution<_RealType>;
param_type()
: _M_int(), _M_den(), _M_cp(), _M_m()
{ _M_initialize(); }
template<typename _InputIteratorB, typename _InputIteratorW>
param_type(_InputIteratorB __bfirst,
_InputIteratorB __bend,
_InputIteratorW __wbegin);
template<typename _Func>
param_type(initializer_list<_RealType> __bl, _Func __fw);
template<typename _Func>
param_type(size_t __nw, _RealType __xmin, _RealType __xmax,
_Func __fw);
std::vector<_RealType>
intervals() const
{ return _M_int; }
std::vector<double>
densities() const
{ return _M_den; }
private:
void
_M_initialize();
std::vector<_RealType> _M_int;
std::vector<double> _M_den;
std::vector<double> _M_cp;
std::vector<double> _M_m;
};
explicit
piecewise_linear_distribution()
: _M_param()
{ }
template<typename _InputIteratorB, typename _InputIteratorW>
piecewise_linear_distribution(_InputIteratorB __bfirst,
_InputIteratorB __bend,
_InputIteratorW __wbegin)
: _M_param(__bfirst, __bend, __wbegin)
{ }
template<typename _Func>
piecewise_linear_distribution(initializer_list<_RealType> __bl,
_Func __fw)
: _M_param(__bl, __fw)
{ }
template<typename _Func>
piecewise_linear_distribution(size_t __nw,
_RealType __xmin, _RealType __xmax,
_Func __fw)
: _M_param(__nw, __xmin, __xmax, __fw)
{ }
explicit
piecewise_linear_distribution(const param_type& __p)
: _M_param(__p)
{ }
/**
* Resets the distribution state.
*/
void
reset()
{ }
/**
* @brief Return the intervals of the distribution.
*/
std::vector<_RealType>
intervals() const
{ return _M_param.intervals(); }
/**
* @brief Return a vector of the probability densities of the
* distribution.
*/
std::vector<double>
densities() const
{ return _M_param.densities(); }
/**
* @brief Returns the parameter set of the distribution.
*/
param_type
param() const
{ return _M_param; }
/**
* @brief Sets the parameter set of the distribution.
* @param __param The new parameter set of the distribution.
*/
void
param(const param_type& __param)
{ _M_param = __param; }
/**
* @brief Returns the greatest lower bound value of the distribution.
*/
result_type
min() const
{ return this->_M_param._M_int.front(); }
/**
* @brief Returns the least upper bound value of the distribution.
*/
result_type
max() const
{ return this->_M_param._M_int.back(); }
template<typename _UniformRandomNumberGenerator>
result_type
operator()(_UniformRandomNumberGenerator& __urng)
{ return this->operator()(__urng, this->param()); }
template<typename _UniformRandomNumberGenerator>
result_type
operator()(_UniformRandomNumberGenerator& __urng,
const param_type& __p);
/**
* @brief Inserts a %piecewise_linear_distribution random number
* distribution @p __x into the output stream @p __os.
*
* @param __os An output stream.
* @param __x A %piecewise_linear_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>&,
const std::piecewise_linear_distribution<_RealType1>&);
/**
* @brief Extracts a %piecewise_linear_distribution random number
* distribution @p __x from the input stream @p __is.
*
* @param __is An input stream.
* @param __x A %piecewise_linear_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>&,
std::piecewise_linear_distribution<_RealType1>&);
private:
param_type _M_param;
};
/* @} */ // group std_random_distributions_poisson
/* @} */ // group std_random_distributions
/**
* @addtogroup std_random_utilities Random Number Utilities
* @ingroup std_random
* @{
*/
/**
* @brief The seed_seq class generates sequences of seeds for random
* number generators.
*/
class seed_seq
{
public:
/** The type of the seed vales. */
typedef uint_least32_t result_type;
/** Default constructor. */
seed_seq()
: _M_v()
{ }
template<typename _IntType>
seed_seq(std::initializer_list<_IntType> il);
template<typename _InputIterator>
seed_seq(_InputIterator __begin, _InputIterator __end);
// generating functions
template<typename _RandomAccessIterator>
void
generate(_RandomAccessIterator __begin, _RandomAccessIterator __end);
// property functions
size_t size() const
{ return _M_v.size(); }
template<typename OutputIterator>
void
param(OutputIterator __dest) const
{ std::copy(_M_v.begin(), _M_v.end(), __dest); }
private:
///
std::vector<result_type> _M_v;
};
/* @} */ // group std_random_utilities
/* @} */ // group std_random
}
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