math/test/test_bernoulli_constants.cpp
René Ferdinand Rivera Morell 41f07b0794
Add support for modular build structure. (#1160)
* Make the library modular usable.

* Fix -Wundef warnings

* Switch to library requirements instead of source. As source puts extra source in install targets.

* Add missing NO_LIB usage requirements.

* Remove boost-root relative include path.

* Add missing import-search for cconfig/predef checks.

* Add requires-b2 check to top-level build file.

* Sync upstream.

* Fix typo in test framework reference.

* Bump B2 require to 5.2

* Update copyright dates.

* Move inter-lib dependencies to a project variable and into the build targets.

* Switch to /boost/test//included target for header only mode of Boost.Test.

* Adjust doc build to avoid boost-root references.

* Update build deps.

* Fix project props not applying to the no_eh.obj compile.

* Update build deps.

* Add missing import-search.

* Fix float128_type checks to actually disable tests. Problem was that build is a non-free feature. Which can't be acquired through a usage requirement.

* GPU Batch 7

Fix igamma_large support on device

Add GPU support to toms748

Add GPU support to igamma_inv

Add GPU markers to gamma_inva

Add GPU Markers to lgamma_small

Remove STL usage from gamma

Remove NVRTC workaround

Fix fraction use of STL headers

Mark gamma functions in fwd

Disable declval on all GPU platforms

Disable more unneeded code on device

Add forward decl for NVRTC tgamma

Disable unneeded items for all GPU

Change workaround for missing overloads

Rearrange definition location

Add include path to cuda now that workaround is removed

Fix NVRTC incompatibility with recursion and forward decls

Add tgamma_ratio CUDA and NVRTC testing

Fix NVRTC handling of gamma_p_derivative

Add gamma_p_derivative CUDA and NVRTC testing

Remove recursion from gamma_incomplete_imp

Add SYCL testing of igamma, igamma_inv, and igamma_inva

Ignore literal-range warnings

Remove use of static const char* for function name

Fix missing CUDA header

Remove calls under NVRTC to fwd decl

Add more nvrtc workarounds

Use builtin erfc instead of header cycle

Add CUDA and NVRTC testing of gamma_p_inv

Adjust tolerances

Add GPU support to chi squared dist

Fix static local variable

Add chi squared dist SYCL testing

Add chi squared dist CUDA testing

Add chi squared dist NVRTC testing

Add GPU support to weibull dist

Add weibull dist SYCL testing

Add weibull dist CUDA testing

Add weibull dist NVRTC testing

* Fix policy macro definition for MSVC platforms

* Don't add quadmath lib for has_128bit_floatmax_t check. It was accidentally copy+pasted.

* Fix incorrect name for float128 type check that caused it to not apear.

---------

Co-authored-by: Matt Borland <matt@mattborland.com>
2024-09-06 08:45:23 -04:00

247 lines
11 KiB
C++

// (C) Copyright John Maddock 2013.
// Use, modification and distribution are subject to the
// Boost Software License, Version 1.0. (See accompanying file
// LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
#define BOOST_TEST_MAIN
#define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error
#include <boost/math/tools/config.hpp>
#include <boost/test/unit_test.hpp>
#include <boost/math/concepts/real_concept.hpp>
#include <boost/math/special_functions/bernoulli.hpp>
#include "table_type.hpp"
#include <boost/math/tools/test.hpp>
#include <iostream>
#include <iomanip>
#define SC_(x) static_cast<typename table_type<T>::type>(BOOST_JOIN(x, L))
template <class T>
void test(const char* name)
{
std::cout << "Testing type " << name << ":\n";
static const typename table_type<T>::type data[] =
{
/* First 50 from 2 to 100 inclusive: */
/* TABLE[N[BernoulliB[n], 200], {n,2,100,2}] */
SC_(0.1666666666666666666666666666666666666666),
SC_(-0.0333333333333333333333333333333333333333),
SC_(0.0238095238095238095238095238095238095238),
SC_(-0.0333333333333333333333333333333333333333),
SC_(0.0757575757575757575757575757575757575757),
SC_(-0.2531135531135531135531135531135531135531),
SC_(1.1666666666666666666666666666666666666666),
SC_(-7.0921568627450980392156862745098039215686),
SC_(54.9711779448621553884711779448621553884711),
SC_(-529.1242424242424242424242424242424242424242),
SC_(6192.1231884057971014492753623188405797101449),
SC_(-86580.2531135531135531135531135531135531135531),
SC_(1.4255171666666666666666666666666666666666e6),
SC_(-2.7298231067816091954022988505747126436781e7),
SC_(6.0158087390064236838430386817483591677140e8),
SC_(-1.5116315767092156862745098039215686274509e10),
SC_(4.2961464306116666666666666666666666666666e11),
SC_(-1.3711655205088332772159087948561632772159e13),
SC_(4.8833231897359316666666666666666666666666e14),
SC_(-1.9296579341940068148632668144863266814486e16),
SC_(8.4169304757368261500055370985603543743078e17),
SC_(-4.0338071854059455413076811594202898550724e19),
SC_(2.1150748638081991605601453900709219858156e21),
SC_(-1.2086626522296525934602731193708252531781e23),
SC_(7.5008667460769643668557200757575757575757e24),
SC_(-5.0387781014810689141378930305220125786163e26),
SC_(3.6528776484818123335110430842971177944862e28),
SC_(-2.8498769302450882226269146432910678160919e30),
SC_(2.3865427499683627644645981919219214971751e32),
SC_(-2.1399949257225333665810744765191097392674e34),
SC_(2.0500975723478097569921733095672310251666e36),
SC_(-2.0938005911346378409095185290027970184709e38),
SC_(2.2752696488463515559649260352769264581469e40),
SC_(-2.6257710286239576047303049736158202081449e42),
SC_(3.2125082102718032518204792304264985243521e44),
SC_(-4.1598278166794710913917074495262358936689e46),
SC_(5.6920695482035280023883456219121058644480e48),
SC_(-8.2183629419784575692290653468617333014550e50),
SC_(1.2502904327166993016732339829702895524177e53),
SC_(-2.0015583233248370274925329198813298768724e55),
SC_(3.3674982915364374233396676903338753016219e57),
SC_(-5.9470970503135447718660496844051540840579e59),
SC_(1.1011910323627977559564130790437691604630e62),
SC_(-2.1355259545253501188658385019041065678973e64),
SC_(4.3328896986641192419616613059379206218451e66),
SC_(-9.1885528241669328226200555215501897138960e68),
SC_(2.0346896776329074493455027990220020065975e71),
SC_(-4.7003833958035731078575255535006060654596e73),
SC_(1.1318043445484249270675186257733934267890e76),
SC_(-2.8382249570693706959264156336481764738284e78),
/* next 50 from 102 to 200: */
/* TABLE[N[BernoulliB[n], 200], {n,102,200,2}] */
SC_(7.4064248979678850629750827140920984176879e80),
SC_(-2.0096454802756604483465619672715363186867e83),
SC_(5.6657170050805941445719346030519356961419e85),
SC_(-1.6584511154136216915823713374319912301494e88),
SC_(5.0368859950492377419289421915180154812442e90),
SC_(-1.5861468237658186369363401572966438782740e93),
SC_(5.1756743617545626984073240682507122561240e95),
SC_(-1.7488921840217117339690025877618159145141e98),
SC_(6.1160519994952185255824525264264167780767e100),
SC_(-2.2122776912707834942288323456712932445573e103),
SC_(8.2722776798770969854221062459984595731204e105),
SC_(-3.1958925111415709583591634369180814873526e108),
SC_(1.2750082223387792982310024302926679866957e111),
SC_(-5.2500923086774133899402824624565175446919e113),
SC_(2.2301817894241625209869298198838728143738e116),
SC_(-9.7684521930955204438633513398980239301166e118),
SC_(4.4098361978452954272272622874813169191875e121),
SC_(-2.0508570886464088839729337727583015486456e124),
SC_(9.8214433279791277107572969602097521041491e126),
SC_(-4.8412600798208880508789196709963412761130e129),
SC_(2.4553088801480982609783467404088690399673e132),
SC_(-1.2806926804084747548782513278601785721811e135),
SC_(6.8676167104668581192101888598464400436092e137),
SC_(-3.7846468581969104694978995416379556814489e140),
SC_(2.1426101250665291550871323135148272096660e143),
SC_(-1.2456727137183695007019642961637607219458e146),
SC_(7.4345787551000152543679668394052061311780e148),
SC_(-4.5535795304641704894063333223321274876772e151),
SC_(2.8612112816858868345363847251017232522918e154),
SC_(-1.8437723552033869727688202653628785487541e157),
SC_(1.2181154536221046699501316506599521355817e160),
SC_(-8.2482187185314121548481845729689344730141e162),
SC_(5.7225877937832943329651649814297861591868e165),
SC_(-4.0668530525059104726767969383115865560219e168),
SC_(2.9596092064642050062875269581585187042637e171),
SC_(-2.2049522565189457509031175227344598483637e174),
SC_(1.6812597072889599805831152515136066575446e177),
SC_(-1.3116736213556957648645280635581715300443e180),
SC_(1.0467894009478038082183285392982308964382e183),
SC_(-8.5432893578833707718598254629908277459327e185),
SC_(7.1287821322486542352288406677143822472124e188),
SC_(-6.0802931455535899300084711868647745846198e191),
SC_(5.2996776424849923930094291004324726622848e194),
SC_(-4.7194259168745862644364622901337991110376e197),
SC_(4.2928413791402981089416829654107466904552e200),
SC_(-3.9876744968232207443447765554293879510665e203),
SC_(3.7819780419358882713894418116139332789822e206),
SC_(-3.6614233683681191243685808215119734875519e209),
SC_(3.6176090272372862348855460929891408947754e212),
SC_(-3.6470772645191354362138308865549944904868e215),
};
T tol = boost::math::tools::epsilon<T>() * 20;
for(unsigned i = 1; i <= 100; ++i)
{
T b2n = boost::math::bernoulli_b2n<T>(i);
T t2n = boost::math::tangent_t2n<T>(i);
if((boost::math::isinf)(b2n))
{
if(!(boost::math::isinf)(data[i - 1]))
{
std::cout << "When calculating B2N(" << i << ")\n";
BOOST_ERROR("Got an infinity when one wasn't expected");
}
else if((b2n > 0) != (data[i - 1] > 0))
{
std::cout << "When calculating B2N(" << i << ")\n";
BOOST_ERROR("Sign of infinity was incorrect");
}
}
else if((boost::math::isnan)(b2n))
{
std::cout << "When calculating B2N(" << i << ")\n";
BOOST_ERROR("Result of B2n was a NaN, and that should never happen!");
}
else
{
BOOST_CHECK_CLOSE_FRACTION(b2n, data[i - 1], tol);
}
if(i <= boost::math::max_bernoulli_b2n<T>::value)
{
BOOST_CHECK_EQUAL(b2n, boost::math::unchecked_bernoulli_b2n<T>(i));
}
if((boost::math::isfinite)(t2n) && (t2n < boost::math::tools::max_value<T>()))
{
T p = ldexp(T(1), 2 * i);
int s = i & 1 ? 1 : -1;
p = t2n / (s * p * (p - 1));
p *= 2 * i;
BOOST_CHECK_CLOSE_FRACTION(p, b2n, tol);
}
}
//
// Test consistency of array interface:
//
T bn[boost::math::max_bernoulli_b2n<T>::value + 20];
boost::math::bernoulli_b2n<T>(0, boost::math::max_bernoulli_b2n<T>::value + 20, bn);
for(unsigned i = 0; i < boost::math::max_bernoulli_b2n<T>::value + 20; ++i)
{
BOOST_CHECK_EQUAL(bn[i], boost::math::bernoulli_b2n<T>(i));
}
boost::math::tangent_t2n<T>(0, boost::math::max_bernoulli_b2n<T>::value + 20, bn);
for(unsigned i = 0; i < boost::math::max_bernoulli_b2n<T>::value + 20; ++i)
{
BOOST_CHECK_EQUAL(bn[i], boost::math::tangent_t2n<T>(i));
}
//
// Some spot tests for things that should throw exceptions:
//
static unsigned overflow_index = boost::is_same<T, boost::math::concepts::real_concept>::value ?
boost::math::max_bernoulli_b2n<long double>::value + 5 : boost::math::max_bernoulli_b2n<T>::value + 5;
#ifndef BOOST_NO_EXCEPTIONS
BOOST_MATH_CHECK_THROW(boost::math::bernoulli_b2n<T>(overflow_index, boost::math::policies::make_policy(boost::math::policies::overflow_error<boost::math::policies::throw_on_error>())), std::overflow_error);
BOOST_MATH_CHECK_THROW(boost::math::tangent_t2n<T>(overflow_index, boost::math::policies::make_policy(boost::math::policies::overflow_error<boost::math::policies::throw_on_error>())), std::overflow_error);
#endif
BOOST_MATH_CHECK_THROW(boost::math::bernoulli_b2n<T>(-1), std::domain_error);
BOOST_MATH_CHECK_THROW(boost::math::tangent_t2n<T>(-1), std::domain_error);
std::vector<T> v;
BOOST_MATH_CHECK_THROW(boost::math::bernoulli_b2n<T>(-1, 5, std::back_inserter(v)), std::domain_error);
BOOST_MATH_CHECK_THROW(boost::math::tangent_t2n<T>(-1, 5, std::back_inserter(v)), std::domain_error);
}
void test_real_concept_extra()
{
#if !defined(BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS) && !defined(BOOST_MATH_NO_REAL_CONCEPT_TESTS)
boost::math::concepts::real_concept tol = boost::math::tools::epsilon<boost::math::concepts::real_concept>() * 20;
for(unsigned i = 0; i <= boost::math::max_bernoulli_b2n<long double>::value; ++i)
{
BOOST_CHECK_CLOSE_FRACTION(static_cast<boost::math::concepts::real_concept>(boost::math::bernoulli_b2n<long double>(i)), boost::math::bernoulli_b2n<boost::math::concepts::real_concept>(i), tol);
}
for(unsigned i = 1; i < 500; ++i)
{
boost::math::concepts::real_concept r = boost::math::bernoulli_b2n<long double>(i + boost::math::max_bernoulli_b2n<long double>::value);
if((i + boost::math::max_bernoulli_b2n<long double>::value) & 1)
{
BOOST_CHECK(r >= boost::math::tools::max_value<boost::math::concepts::real_concept>());
}
else
{
BOOST_CHECK(r <= -boost::math::tools::max_value<boost::math::concepts::real_concept>());
}
}
#endif
}
BOOST_AUTO_TEST_CASE( test_main )
{
test<float>("float");
test<double>("double");
#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
test<long double>("long double");
#ifndef BOOST_MATH_NO_REAL_CONCEPT_TESTS
test<boost::math::concepts::real_concept>("real_concept");
test_real_concept_extra();
#endif
#endif
}