[rand.dist.norm.f]

git-svn-id: https://llvm.org/svn/llvm-project/libcxx/trunk@104035 91177308-0d34-0410-b5e6-96231b3b80d8
This commit is contained in:
Howard Hinnant
2010-05-18 17:32:30 +00:00
parent ed9b2aa21d
commit d8bc09b616
23 changed files with 946 additions and 55 deletions

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//===----------------------------------------------------------------------===//
//
// 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 fisher_f_distribution
// fisher_f_distribution& operator=(const fisher_f_distribution&);
#include <random>
#include <cassert>
void
test1()
{
typedef std::fisher_f_distribution<> D;
D d1(20, 0.75);
D d2;
assert(d1 != d2);
d2 = d1;
assert(d1 == d2);
}
int main()
{
test1();
}

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//===----------------------------------------------------------------------===//
//
// 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 fisher_f_distribution
// fisher_f_distribution(const fisher_f_distribution&);
#include <random>
#include <cassert>
void
test1()
{
typedef std::fisher_f_distribution<> D;
D d1(20, 1.75);
D d2 = d1;
assert(d1 == d2);
}
int main()
{
test1();
}

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//===----------------------------------------------------------------------===//
//
// 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 fisher_f_distribution
// explicit fisher_f_distribution(result_type alpha = 0, result_type beta = 1);
#include <random>
#include <cassert>
int main()
{
{
typedef std::fisher_f_distribution<> D;
D d;
assert(d.m() == 1);
assert(d.n() == 1);
}
{
typedef std::fisher_f_distribution<> D;
D d(14.5);
assert(d.m() == 14.5);
assert(d.n() == 1);
}
{
typedef std::fisher_f_distribution<> D;
D d(14.5, 5.25);
assert(d.m() == 14.5);
assert(d.n() == 5.25);
}
}

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//===----------------------------------------------------------------------===//
//
// 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 fisher_f_distribution
// explicit fisher_f_distribution(const param_type& parm);
#include <random>
#include <cassert>
int main()
{
{
typedef std::fisher_f_distribution<> D;
typedef D::param_type P;
P p(0.25, 10);
D d(p);
assert(d.m() == 0.25);
assert(d.n() == 10);
}
}

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//===----------------------------------------------------------------------===//
//
// 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 fisher_f_distribution
// bool operator=(const fisher_f_distribution& x,
// const fisher_f_distribution& y);
// bool operator!(const fisher_f_distribution& x,
// const fisher_f_distribution& y);
#include <random>
#include <cassert>
int main()
{
{
typedef std::fisher_f_distribution<> D;
D d1(2.5, 4);
D d2(2.5, 4);
assert(d1 == d2);
}
{
typedef std::fisher_f_distribution<> D;
D d1(2.5, 4);
D d2(2.5, 4.5);
assert(d1 != d2);
}
}

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//===----------------------------------------------------------------------===//
//
// 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 fisher_f_distribution
// template<class _URNG> result_type operator()(_URNG& g);
#include <random>
#include <cassert>
#include <vector>
#include <algorithm>
#include <cmath>
double fac(double x)
{
double r = 1;
for (; x > 1; --x)
r *= x;
return r;
}
double
I(double x, unsigned a, unsigned b)
{
double r = 0;
for (int j = a; j <= a+b-1; ++j)
r += fac(a+b-1)/(fac(j) * fac(a + b - 1 - j)) * std::pow(x, j) *
std::pow(1-x, a+b-1-j);
return r;
}
double
f(double x, double m, double n)
{
return I(m * x / (m*x + n), static_cast<unsigned>(m/2), static_cast<unsigned>(n/2));
}
int main()
{
// Purposefully only testing even integral values of m and n (for now)
{
typedef std::fisher_f_distribution<> D;
typedef D::param_type P;
typedef std::mt19937 G;
G g;
D d(2, 4);
const int N = 100000;
std::vector<D::result_type> u;
for (int i = 0; i < N; ++i)
{
D::result_type v = d(g);
assert(v >= 0);
u.push_back(v);
}
std::sort(u.begin(), u.end());
for (int i = 0; i < N; ++i)
assert(std::abs(f(u[i], d.m(), d.n()) - double(i)/N) < .01);
}
{
typedef std::fisher_f_distribution<> D;
typedef D::param_type P;
typedef std::mt19937 G;
G g;
D d(4, 2);
const int N = 100000;
std::vector<D::result_type> u;
for (int i = 0; i < N; ++i)
{
D::result_type v = d(g);
assert(v >= 0);
u.push_back(v);
}
std::sort(u.begin(), u.end());
for (int i = 0; i < N; ++i)
assert(std::abs(f(u[i], d.m(), d.n()) - double(i)/N) < .01);
}
{
typedef std::fisher_f_distribution<> D;
typedef D::param_type P;
typedef std::mt19937 G;
G g;
D d(18, 20);
const int N = 100000;
std::vector<D::result_type> u;
for (int i = 0; i < N; ++i)
{
D::result_type v = d(g);
assert(v >= 0);
u.push_back(v);
}
std::sort(u.begin(), u.end());
for (int i = 0; i < N; ++i)
assert(std::abs(f(u[i], d.m(), d.n()) - double(i)/N) < .01);
}
}

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//===----------------------------------------------------------------------===//
//
// 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 fisher_f_distribution
// template<class _URNG> result_type operator()(_URNG& g, const param_type& parm);
#include <random>
#include <cassert>
#include <vector>
#include <algorithm>
#include <cmath>
double fac(double x)
{
double r = 1;
for (; x > 1; --x)
r *= x;
return r;
}
double
I(double x, unsigned a, unsigned b)
{
double r = 0;
for (int j = a; j <= a+b-1; ++j)
r += fac(a+b-1)/(fac(j) * fac(a + b - 1 - j)) * std::pow(x, j) *
std::pow(1-x, a+b-1-j);
return r;
}
double
f(double x, double m, double n)
{
return I(m * x / (m*x + n), static_cast<unsigned>(m/2), static_cast<unsigned>(n/2));
}
int main()
{
// Purposefully only testing even integral values of m and n (for now)
{
typedef std::fisher_f_distribution<> D;
typedef D::param_type P;
typedef std::mt19937 G;
G g;
D d(2, 4);
P p(4, 2);
const int N = 100000;
std::vector<D::result_type> u;
for (int i = 0; i < N; ++i)
{
D::result_type v = d(g, p);
assert(v >= 0);
u.push_back(v);
}
std::sort(u.begin(), u.end());
for (int i = 0; i < N; ++i)
assert(std::abs(f(u[i], p.m(), p.n()) - double(i)/N) < .01);
}
{
typedef std::fisher_f_distribution<> D;
typedef D::param_type P;
typedef std::mt19937 G;
G g;
D d(4, 2);
P p(6, 8);
const int N = 100000;
std::vector<D::result_type> u;
for (int i = 0; i < N; ++i)
{
D::result_type v = d(g, p);
assert(v >= 0);
u.push_back(v);
}
std::sort(u.begin(), u.end());
for (int i = 0; i < N; ++i)
assert(std::abs(f(u[i], p.m(), p.n()) - double(i)/N) < .01);
}
{
typedef std::fisher_f_distribution<> D;
typedef D::param_type P;
typedef std::mt19937 G;
G g;
D d(18, 20);
P p(16, 14);
const int N = 100000;
std::vector<D::result_type> u;
for (int i = 0; i < N; ++i)
{
D::result_type v = d(g, p);
assert(v >= 0);
u.push_back(v);
}
std::sort(u.begin(), u.end());
for (int i = 0; i < N; ++i)
assert(std::abs(f(u[i], p.m(), p.n()) - double(i)/N) < .01);
}
}

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//===----------------------------------------------------------------------===//
//
// 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 fisher_f_distribution
// param_type param() const;
#include <random>
#include <cassert>
int main()
{
{
typedef std::fisher_f_distribution<> D;
typedef D::param_type P;
P p(.125, .5);
D d(p);
assert(d.param() == p);
}
}

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//===----------------------------------------------------------------------===//
//
// 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 fisher_f_distribution
// template <class CharT, class Traits, class RealType>
// basic_ostream<CharT, Traits>&
// operator<<(basic_ostream<CharT, Traits>& os,
// const fisher_f_distribution<RealType>& x);
// template <class CharT, class Traits, class RealType>
// basic_istream<CharT, Traits>&
// operator>>(basic_istream<CharT, Traits>& is,
// fisher_f_distribution<RealType>& x);
#include <random>
#include <sstream>
#include <cassert>
int main()
{
{
typedef std::fisher_f_distribution<> D;
D d1(7, 5);
std::ostringstream os;
os << d1;
std::istringstream is(os.str());
D d2;
is >> d2;
assert(d1 == d2);
}
}

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//===----------------------------------------------------------------------===//
//
// 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 fisher_f_distribution
// result_type max() const;
#include <random>
#include <cassert>
int main()
{
{
typedef std::fisher_f_distribution<> D;
D d(5, .25);
D::result_type m = d.max();
assert(m == INFINITY);
}
}

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//===----------------------------------------------------------------------===//
//
// 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 fisher_f_distribution
// result_type min() const;
#include <random>
#include <cassert>
int main()
{
{
typedef std::fisher_f_distribution<> D;
D d(.5, .5);
assert(d.min() == 0);
}
}

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//===----------------------------------------------------------------------===//
//
// 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 fisher_f_distribution
// {
// class param_type;
#include <random>
#include <limits>
#include <cassert>
int main()
{
{
typedef std::fisher_f_distribution<> D;
typedef D::param_type param_type;
param_type p0(.75, 6);
param_type p;
p = p0;
assert(p.m() == .75);
assert(p.n() == 6);
}
}

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//===----------------------------------------------------------------------===//
//
// 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 fisher_f_distribution
// {
// class param_type;
#include <random>
#include <limits>
#include <cassert>
int main()
{
{
typedef std::fisher_f_distribution<> D;
typedef D::param_type param_type;
param_type p0(10, .125);
param_type p = p0;
assert(p.m() == 10);
assert(p.n() == .125);
}
}

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//===----------------------------------------------------------------------===//
//
// 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 fisher_f_distribution
// {
// class param_type;
#include <random>
#include <limits>
#include <cassert>
int main()
{
{
typedef std::fisher_f_distribution<> D;
typedef D::param_type param_type;
param_type p;
assert(p.m() == 1);
assert(p.n() == 1);
}
{
typedef std::fisher_f_distribution<> D;
typedef D::param_type param_type;
param_type p(10);
assert(p.m() == 10);
assert(p.n() == 1);
}
{
typedef std::fisher_f_distribution<> D;
typedef D::param_type param_type;
param_type p(10, 5);
assert(p.m() == 10);
assert(p.n() == 5);
}
}

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//===----------------------------------------------------------------------===//
//
// 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 fisher_f_distribution
// {
// class param_type;
#include <random>
#include <limits>
#include <cassert>
int main()
{
{
typedef std::fisher_f_distribution<> D;
typedef D::param_type param_type;
param_type p1(0.75, .5);
param_type p2(0.75, .5);
assert(p1 == p2);
}
{
typedef std::fisher_f_distribution<> D;
typedef D::param_type param_type;
param_type p1(0.75, .5);
param_type p2(0.5, .5);
assert(p1 != p2);
}
}

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//===----------------------------------------------------------------------===//
//
// 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 fisher_f_distribution
// {
// class param_type;
#include <random>
#include <type_traits>
int main()
{
{
typedef std::fisher_f_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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//===----------------------------------------------------------------------===//
//
// 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 fisher_f_distribution;
// void param(const param_type& parm);
#include <random>
#include <cassert>
int main()
{
{
typedef std::fisher_f_distribution<> D;
typedef D::param_type P;
P p(0.25, 5.5);
D d(0.75, 4);
d.param(p);
assert(d.param() == p);
}
}

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//===----------------------------------------------------------------------===//
//
// 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 fisher_f_distribution
// {
// public:
// // types
// typedef RealType result_type;
#include <random>
#include <type_traits>
int main()
{
{
typedef std::fisher_f_distribution<> D;
typedef D::result_type result_type;
static_assert((std::is_same<result_type, double>::value), "");
}
{
typedef std::fisher_f_distribution<float> D;
typedef D::result_type result_type;
static_assert((std::is_same<result_type, float>::value), "");
}
}