[rand.dist.pois.exp]

git-svn-id: https://llvm.org/svn/llvm-project/libcxx/trunk@103621 91177308-0d34-0410-b5e6-96231b3b80d8
This commit is contained in:
Howard Hinnant 2010-05-12 17:08:57 +00:00
parent 5f9b133e2c
commit 30a840f5f0
20 changed files with 786 additions and 3 deletions

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@ -675,7 +675,60 @@ template<class IntType = int>
class poisson_distribution;
template<class RealType = double>
class exponential_distribution;
class exponential_distribution
{
public:
// types
typedef RealType result_type;
class param_type
{
public:
typedef exponential_distribution distribution_type;
explicit param_type(RealType lambda = 1.0);
RealType lambda() const;
friend bool operator==(const param_type& x, const param_type& y);
friend bool operator!=(const param_type& x, const param_type& y);
};
// constructors and reset functions
explicit exponential_distribution(RealType lambda = 1.0);
explicit exponential_distribution(const param_type& parm);
void reset();
// generating functions
template<class URNG> result_type operator()(URNG& g);
template<class URNG> result_type operator()(URNG& g, const param_type& parm);
// property functions
RealType lambda() const;
param_type param() const;
void param(const param_type& parm);
result_type min() const;
result_type max() const;
friend bool operator==(const exponential_distribution& x,
const exponential_distribution& y);
friend bool operator!=(const exponential_distribution& x,
const exponential_distribution& y);
template <class charT, class traits>
friend
basic_ostream<charT, traits>&
operator<<(basic_ostream<charT, traits>& os,
const exponential_distribution& x);
template <class charT, class traits>
friend
basic_istream<charT, traits>&
operator>>(basic_istream<charT, traits>& is,
exponential_distribution& x);
};
template<class RealType = double>
class gamma_distribution;
@ -727,6 +780,7 @@ template<class RealType = double>
#include <string>
#include <istream>
#include <ostream>
#include <cmath>
#pragma GCC system_header
@ -2460,6 +2514,8 @@ seed_seq::generate(_RandomAccessIterator __first, _RandomAccessIterator __last)
}
}
// generate_canonical
template<class _RealType, size_t __bits, class _URNG>
_RealType
generate_canonical(_URNG& __g)
@ -2599,6 +2655,8 @@ __independent_bits_engine<_Engine, _UIntType>::__eval(true_type)
return _S;
}
// uniform_int_distribution
template<class _IntType = int>
class uniform_int_distribution
{
@ -2716,6 +2774,8 @@ operator>>(basic_istream<_CharT, _Traits>& __is,
return __is;
}
// uniform_real_distribution
template<class _RealType = double>
class uniform_real_distribution
{
@ -2817,6 +2877,8 @@ operator>>(basic_istream<_CharT, _Traits>& __is,
return __is;
}
// bernoulli_distribution
class bernoulli_distribution
{
public:
@ -2905,6 +2967,8 @@ operator>>(basic_istream<_CharT, _Traits>& __is, bernoulli_distribution& __x)
return __is;
}
// binomial_distribution
template<class _IntType = int>
class binomial_distribution
{
@ -3007,6 +3071,106 @@ operator>>(basic_istream<_CharT, _Traits>& __is,
return __is;
}
// exponential_distribution
template<class _RealType = double>
class exponential_distribution
{
public:
// types
typedef _RealType result_type;
class param_type
{
result_type __lambda_;
public:
typedef exponential_distribution distribution_type;
explicit param_type(result_type __lambda = 1) : __lambda_(__lambda) {}
result_type lambda() const {return __lambda_;}
friend bool operator==(const param_type& __x, const param_type& __y)
{return __x.__lambda_ == __y.__lambda_;}
friend bool operator!=(const param_type& __x, const param_type& __y)
{return !(__x == __y);}
};
private:
param_type __p_;
public:
// constructors and reset functions
explicit exponential_distribution(result_type __lambda = 1)
: __p_(param_type(__lambda)) {}
explicit exponential_distribution(const param_type& __p) : __p_(__p) {}
void reset() {}
// generating functions
template<class _URNG> result_type operator()(_URNG& __g)
{return (*this)(__g, __p_);}
template<class _URNG> result_type operator()(_URNG& __g, const param_type& __p);
// property functions
result_type lambda() const {return __p_.lambda();}
param_type param() const {return __p_;}
void param(const param_type& __p) {__p_ = __p;}
result_type min() const {return 0;}
result_type max() const
{return -std::log(1-std::nextafter(result_type(1), result_type(-1))) /
__p_.lambda();}
friend bool operator==(const exponential_distribution& __x,
const exponential_distribution& __y)
{return __x.__p_ == __y.__p_;}
friend bool operator!=(const exponential_distribution& __x,
const exponential_distribution& __y)
{return !(__x == __y);}
};
template <class _RealType>
template<class _URNG>
_RealType
exponential_distribution<_RealType>::operator()(_URNG& __g, const param_type& __p)
{
return -_STD::log
(
result_type(1) -
_STD::generate_canonical<result_type,
numeric_limits<result_type>::digits>(__g)
)
/ __p.lambda();
}
template <class _CharT, class _Traits, class _RealType>
basic_ostream<_CharT, _Traits>&
operator<<(basic_ostream<_CharT, _Traits>& __os,
const exponential_distribution<_RealType>& __x)
{
__save_flags<_CharT, _Traits> _(__os);
__os.flags(ios_base::dec | ios_base::left);
return __os << __x.lambda();
}
template <class _CharT, class _Traits, class _RealType>
basic_istream<_CharT, _Traits>&
operator>>(basic_istream<_CharT, _Traits>& __is,
exponential_distribution<_RealType>& __x)
{
typedef exponential_distribution<_RealType> _Eng;
typedef typename _Eng::result_type result_type;
typedef typename _Eng::param_type param_type;
__save_flags<_CharT, _Traits> _(__is);
__is.flags(ios_base::dec | ios_base::skipws);
result_type __lambda;
__is >> __lambda;
if (!__is.fail())
__x.param(param_type(__lambda));
return __is;
}
_LIBCPP_END_NAMESPACE_STD
#endif // _LIBCPP_RANDOM

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@ -17,8 +17,6 @@
#include <random>
#include <cassert>
#include <iostream>
int main()
{
{

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@ -0,0 +1,34 @@
//===----------------------------------------------------------------------===//
//
// The LLVM Compiler Infrastructure
//
// This file is distributed under the University of Illinois Open Source
// License. See LICENSE.TXT for details.
//
//===----------------------------------------------------------------------===//
// <random>
// template<class RealType = double>
// class exponential_distribution
// exponential_distribution& operator=(const exponential_distribution&);
#include <random>
#include <cassert>
void
test1()
{
typedef std::exponential_distribution<> D;
D d1(0.75);
D d2;
assert(d1 != d2);
d2 = d1;
assert(d1 == d2);
}
int main()
{
test1();
}

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@ -0,0 +1,32 @@
//===----------------------------------------------------------------------===//
//
// The LLVM Compiler Infrastructure
//
// This file is distributed under the University of Illinois Open Source
// License. See LICENSE.TXT for details.
//
//===----------------------------------------------------------------------===//
// <random>
// template<class RealType = double>
// class exponential_distribution
// exponential_distribution(const exponential_distribution&);
#include <random>
#include <cassert>
void
test1()
{
typedef std::exponential_distribution<> D;
D d1(1.75);
D d2 = d1;
assert(d1 == d2);
}
int main()
{
test1();
}

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@ -0,0 +1,32 @@
//===----------------------------------------------------------------------===//
//
// The LLVM Compiler Infrastructure
//
// This file is distributed under the University of Illinois Open Source
// License. See LICENSE.TXT for details.
//
//===----------------------------------------------------------------------===//
// <random>
// template<class RealType = double>
// class exponential_distribution
// explicit exponential_distribution(RealType lambda = 1.0);
#include <random>
#include <cassert>
int main()
{
{
typedef std::exponential_distribution<> D;
D d;
assert(d.lambda() == 1);
}
{
typedef std::exponential_distribution<> D;
D d(3.5);
assert(d.lambda() == 3.5);
}
}

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@ -0,0 +1,29 @@
//===----------------------------------------------------------------------===//
//
// The LLVM Compiler Infrastructure
//
// This file is distributed under the University of Illinois Open Source
// License. See LICENSE.TXT for details.
//
//===----------------------------------------------------------------------===//
// <random>
// template<class RealType = double>
// class exponential_distribution
// explicit exponential_distribution(const param_type& parm);
#include <random>
#include <cassert>
int main()
{
{
typedef std::exponential_distribution<> D;
typedef D::param_type P;
P p(0.25);
D d(p);
assert(d.lambda() == 0.25);
}
}

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@ -0,0 +1,37 @@
//===----------------------------------------------------------------------===//
//
// The LLVM Compiler Infrastructure
//
// This file is distributed under the University of Illinois Open Source
// License. See LICENSE.TXT for details.
//
//===----------------------------------------------------------------------===//
// <random>
// template<class RealType = double>
// class exponential_distribution
// bool operator=(const exponential_distribution& x,
// const exponential_distribution& y);
// bool operator!(const exponential_distribution& x,
// const exponential_distribution& y);
#include <random>
#include <cassert>
int main()
{
{
typedef std::exponential_distribution<> D;
D d1(.25);
D d2(.25);
assert(d1 == d2);
}
{
typedef std::exponential_distribution<> D;
D d1(.28);
D d2(.25);
assert(d1 != d2);
}
}

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@ -0,0 +1,53 @@
//===----------------------------------------------------------------------===//
//
// The LLVM Compiler Infrastructure
//
// This file is distributed under the University of Illinois Open Source
// License. See LICENSE.TXT for details.
//
//===----------------------------------------------------------------------===//
// <random>
// template<class RealType = double>
// class exponential_distribution
// template<class _URNG> result_type operator()(_URNG& g);
#include <random>
#include <cassert>
#include <vector>
#include <numeric>
template <class T>
inline
T
sqr(T x)
{
return x * x;
}
int main()
{
{
typedef std::exponential_distribution<> D;
typedef D::param_type P;
typedef std::knuth_b G;
G g;
D d(.75);
const int N = 1000;
std::vector<D::result_type> u;
for (int i = 0; i < N; ++i)
u.push_back(d(g));
D::result_type mean = std::accumulate(u.begin(), u.end(),
D::result_type(0)) / u.size();
D::result_type var = 0;
for (int i = 0; i < u.size(); ++i)
var += sqr(u[i] - mean);
var /= u.size();
D::result_type x_mean = 1/d.lambda();
D::result_type x_var = 1/sqr(d.lambda());
assert(std::abs(mean - x_mean) / x_mean < 0.01);
assert(std::abs(var - x_var) / x_var < 0.01);
}
}

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@ -0,0 +1,54 @@
//===----------------------------------------------------------------------===//
//
// The LLVM Compiler Infrastructure
//
// This file is distributed under the University of Illinois Open Source
// License. See LICENSE.TXT for details.
//
//===----------------------------------------------------------------------===//
// <random>
// template<class RealType = double>
// class exponential_distribution
// template<class _URNG> result_type operator()(_URNG& g, const param_type& parm);
#include <random>
#include <cassert>
#include <vector>
#include <numeric>
template <class T>
inline
T
sqr(T x)
{
return x * x;
}
int main()
{
{
typedef std::exponential_distribution<> D;
typedef D::param_type P;
typedef std::knuth_b G;
G g;
D d(.75);
P p(2);
const int N = 1000;
std::vector<D::result_type> u;
for (int i = 0; i < N; ++i)
u.push_back(d(g, p));
D::result_type mean = std::accumulate(u.begin(), u.end(),
D::result_type(0)) / u.size();
D::result_type var = 0;
for (int i = 0; i < u.size(); ++i)
var += sqr(u[i] - mean);
var /= u.size();
D::result_type x_mean = 1/p.lambda();
D::result_type x_var = 1/sqr(p.lambda());
assert(std::abs(mean - x_mean) / x_mean < 0.01);
assert(std::abs(var - x_var) / x_var < 0.01);
}
}

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@ -0,0 +1,29 @@
//===----------------------------------------------------------------------===//
//
// The LLVM Compiler Infrastructure
//
// This file is distributed under the University of Illinois Open Source
// License. See LICENSE.TXT for details.
//
//===----------------------------------------------------------------------===//
// <random>
// template<class RealType = double>
// class exponential_distribution
// param_type param() const;
#include <random>
#include <cassert>
int main()
{
{
typedef std::exponential_distribution<> D;
typedef D::param_type P;
P p(.125);
D d(p);
assert(d.param() == p);
}
}

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@ -0,0 +1,41 @@
//===----------------------------------------------------------------------===//
//
// The LLVM Compiler Infrastructure
//
// This file is distributed under the University of Illinois Open Source
// License. See LICENSE.TXT for details.
//
//===----------------------------------------------------------------------===//
// <random>
// template<class RealType = double>
// class exponential_distribution
// template <class CharT, class Traits, class RealType>
// basic_ostream<CharT, Traits>&
// operator<<(basic_ostream<CharT, Traits>& os,
// const exponential_distribution<RealType>& x);
// template <class CharT, class Traits, class RealType>
// basic_istream<CharT, Traits>&
// operator>>(basic_istream<CharT, Traits>& is,
// exponential_distribution<RealType>& x);
#include <random>
#include <sstream>
#include <cassert>
int main()
{
{
typedef std::exponential_distribution<> D;
D d1(7);
std::ostringstream os;
os << d1;
std::istringstream is(os.str());
D d2;
is >> d2;
assert(d1 == d2);
}
}

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@ -0,0 +1,28 @@
//===----------------------------------------------------------------------===//
//
// The LLVM Compiler Infrastructure
//
// This file is distributed under the University of Illinois Open Source
// License. See LICENSE.TXT for details.
//
//===----------------------------------------------------------------------===//
// <random>
// template<class RealType = double>
// class exponential_distribution
// result_type max() const;
#include <random>
#include <cassert>
int main()
{
{
typedef std::exponential_distribution<> D;
D d(.25);
D::result_type m = d.max();
assert(146 < m && m < 147);
}
}

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@ -0,0 +1,27 @@
//===----------------------------------------------------------------------===//
//
// The LLVM Compiler Infrastructure
//
// This file is distributed under the University of Illinois Open Source
// License. See LICENSE.TXT for details.
//
//===----------------------------------------------------------------------===//
// <random>
// template<class RealType = double>
// class exponential_distribution
// result_type min() const;
#include <random>
#include <cassert>
int main()
{
{
typedef std::exponential_distribution<> D;
D d(.5);
assert(d.min() == 0);
}
}

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@ -0,0 +1,31 @@
//===----------------------------------------------------------------------===//
//
// The LLVM Compiler Infrastructure
//
// This file is distributed under the University of Illinois Open Source
// License. See LICENSE.TXT for details.
//
//===----------------------------------------------------------------------===//
// <random>
// template<class RealType = double>
// class exponential_distribution
// {
// class param_type;
#include <random>
#include <limits>
#include <cassert>
int main()
{
{
typedef std::exponential_distribution<> D;
typedef D::param_type param_type;
param_type p0(.7);
param_type p;
p = p0;
assert(p.lambda() == .7);
}
}

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@ -0,0 +1,30 @@
//===----------------------------------------------------------------------===//
//
// The LLVM Compiler Infrastructure
//
// This file is distributed under the University of Illinois Open Source
// License. See LICENSE.TXT for details.
//
//===----------------------------------------------------------------------===//
// <random>
// template<class RealType = double>
// class exponential_distribution
// {
// class param_type;
#include <random>
#include <limits>
#include <cassert>
int main()
{
{
typedef std::exponential_distribution<> D;
typedef D::param_type param_type;
param_type p0(.125);
param_type p = p0;
assert(p.lambda() == .125);
}
}

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@ -0,0 +1,35 @@
//===----------------------------------------------------------------------===//
//
// The LLVM Compiler Infrastructure
//
// This file is distributed under the University of Illinois Open Source
// License. See LICENSE.TXT for details.
//
//===----------------------------------------------------------------------===//
// <random>
// template<class RealType = double>
// class exponential_distribution
// {
// class param_type;
#include <random>
#include <limits>
#include <cassert>
int main()
{
{
typedef std::exponential_distribution<> D;
typedef D::param_type param_type;
param_type p;
assert(p.lambda() == 1);
}
{
typedef std::exponential_distribution<> D;
typedef D::param_type param_type;
param_type p(10);
assert(p.lambda() == 10);
}
}

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@ -0,0 +1,37 @@
//===----------------------------------------------------------------------===//
//
// The LLVM Compiler Infrastructure
//
// This file is distributed under the University of Illinois Open Source
// License. See LICENSE.TXT for details.
//
//===----------------------------------------------------------------------===//
// <random>
// template<class RealType = double>
// class exponential_distribution
// {
// class param_type;
#include <random>
#include <limits>
#include <cassert>
int main()
{
{
typedef std::exponential_distribution<> D;
typedef D::param_type param_type;
param_type p1(0.75);
param_type p2(0.75);
assert(p1 == p2);
}
{
typedef std::exponential_distribution<> D;
typedef D::param_type param_type;
param_type p1(0.75);
param_type p2(0.5);
assert(p1 != p2);
}
}

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@ -0,0 +1,28 @@
//===----------------------------------------------------------------------===//
//
// The LLVM Compiler Infrastructure
//
// This file is distributed under the University of Illinois Open Source
// License. See LICENSE.TXT for details.
//
//===----------------------------------------------------------------------===//
// <random>
// template<class RealType = double>
// class exponential_distribution
// {
// class param_type;
#include <random>
#include <type_traits>
int main()
{
{
typedef std::exponential_distribution<> D;
typedef D::param_type param_type;
typedef param_type::distribution_type distribution_type;
static_assert((std::is_same<D, distribution_type>::value), "");
}
}

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@ -0,0 +1,30 @@
//===----------------------------------------------------------------------===//
//
// The LLVM Compiler Infrastructure
//
// This file is distributed under the University of Illinois Open Source
// License. See LICENSE.TXT for details.
//
//===----------------------------------------------------------------------===//
// <random>
// template<class RealType = double>
// class exponential_distribution;
// void param(const param_type& parm);
#include <random>
#include <cassert>
int main()
{
{
typedef std::exponential_distribution<> D;
typedef D::param_type P;
P p(0.25);
D d(0.75);
d.param(p);
assert(d.param() == p);
}
}

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@ -0,0 +1,34 @@
//===----------------------------------------------------------------------===//
//
// The LLVM Compiler Infrastructure
//
// This file is distributed under the University of Illinois Open Source
// License. See LICENSE.TXT for details.
//
//===----------------------------------------------------------------------===//
// <random>
// template<class RealType = double>
// class exponential_distribution
// {
// public:
// // types
// typedef RealType result_type;
#include <random>
#include <type_traits>
int main()
{
{
typedef std::exponential_distribution<> D;
typedef D::result_type result_type;
static_assert((std::is_same<result_type, double>::value), "");
}
{
typedef std::exponential_distribution<float> D;
typedef D::result_type result_type;
static_assert((std::is_same<result_type, float>::value), "");
}
}