1 ///////////////////////////////////////////////////////////////
2 // Copyright 2011 John Maddock. Distributed under the Boost
3 // Software License, Version 1.0. (See accompanying file
4 // LICENSE_1_0.txt or copy at https://www.boost.org/LICENSE_1_0.txt
7 #define _SCL_SECURE_NO_WARNINGS
12 #if !defined(TEST_MPF_50) && !defined(TEST_MPF) && !defined(TEST_BACKEND) && !defined(TEST_MPZ) && \
13 !defined(TEST_CPP_DEC_FLOAT) && !defined(TEST_MPFR) && !defined(TEST_MPFR_50) && !defined(TEST_MPQ) && \
14 !defined(TEST_TOMMATH) && !defined(TEST_CPP_INT) && !defined(TEST_MPFI_50) && !defined(TEST_FLOAT128) && !defined(TEST_CPP_BIN_FLOAT)
21 #define TEST_CPP_DEC_FLOAT
27 #define TEST_CPP_BIN_FLOAT
30 #pragma message("CAUTION!!: No backend type specified so testing everything.... this will take some time!!")
33 #pragma warning "CAUTION!!: No backend type specified so testing everything.... this will take some time!!"
38 #if defined(TEST_MPF_50) || defined(TEST_MPF) || defined(TEST_MPZ) || defined(TEST_MPQ)
39 #include <boost/multiprecision/gmp.hpp>
42 #include <boost/multiprecision/concepts/mp_number_archetypes.hpp>
44 #ifdef TEST_CPP_DEC_FLOAT
45 #include <boost/multiprecision/cpp_dec_float.hpp>
47 #if defined(TEST_MPFR) || defined(TEST_MPFR_50)
48 #include <boost/multiprecision/mpfr.hpp>
50 #if defined(TEST_MPFI_50)
51 #include <boost/multiprecision/mpfi.hpp>
54 #include <boost/multiprecision/tommath.hpp>
57 #include <boost/multiprecision/cpp_int.hpp>
60 #include <boost/multiprecision/float128.hpp>
62 #ifdef TEST_CPP_BIN_FLOAT
63 #include <boost/multiprecision/cpp_bin_float.hpp>
67 #pragma warning(disable : 4127)
71 std::cout << BOOST_STRINGIZE(x) << " = " << std::numeric_limits<Number>::x << std::endl;
73 template <class Number>
74 void test_specific(const boost::mpl::int_<boost::multiprecision::number_kind_floating_point>&)
77 minv = (std::numeric_limits<Number>::min)();
78 maxv = (std::numeric_limits<Number>::max)();
79 BOOST_CHECK((boost::math::isnormal)(minv));
80 BOOST_CHECK((boost::math::isnormal)(maxv));
81 BOOST_CHECK((boost::math::isnormal)(log(minv)));
82 BOOST_CHECK((boost::math::isnormal)(log(maxv)));
83 BOOST_CHECK((boost::math::isnormal)(sqrt(minv)));
84 BOOST_CHECK((boost::math::isnormal)(sqrt(maxv)));
86 if (std::numeric_limits<Number>::is_specialized)
88 if (std::numeric_limits<Number>::has_quiet_NaN)
90 BOOST_TEST((boost::math::isnan)(std::numeric_limits<Number>::quiet_NaN()));
91 BOOST_TEST(FP_NAN == (boost::math::fpclassify)(std::numeric_limits<Number>::quiet_NaN()));
92 BOOST_TEST(!(boost::math::isfinite)(std::numeric_limits<Number>::quiet_NaN()));
93 BOOST_TEST(!(boost::math::isnormal)(std::numeric_limits<Number>::quiet_NaN()));
94 BOOST_TEST(!(boost::math::isinf)(std::numeric_limits<Number>::quiet_NaN()));
96 if (std::numeric_limits<Number>::has_signaling_NaN)
98 BOOST_TEST((boost::math::isnan)(std::numeric_limits<Number>::signaling_NaN()));
99 BOOST_TEST(FP_NAN == (boost::math::fpclassify)(std::numeric_limits<Number>::signaling_NaN()));
100 BOOST_TEST(!(boost::math::isfinite)(std::numeric_limits<Number>::signaling_NaN()));
101 BOOST_TEST(!(boost::math::isnormal)(std::numeric_limits<Number>::signaling_NaN()));
102 BOOST_TEST(!(boost::math::isinf)(std::numeric_limits<Number>::signaling_NaN()));
104 if (std::numeric_limits<Number>::has_infinity)
106 BOOST_TEST((boost::math::isinf)(std::numeric_limits<Number>::infinity()));
107 BOOST_TEST(FP_INFINITE == (boost::math::fpclassify)(std::numeric_limits<Number>::infinity()));
108 BOOST_TEST(!(boost::math::isfinite)(std::numeric_limits<Number>::infinity()));
109 BOOST_TEST(!(boost::math::isnormal)(std::numeric_limits<Number>::infinity()));
110 BOOST_TEST(!(boost::math::isnan)(std::numeric_limits<Number>::infinity()));
112 if (std::numeric_limits<Number>::has_denorm == std::denorm_present)
114 BOOST_TEST(FP_SUBNORMAL == (boost::math::fpclassify)(std::numeric_limits<Number>::denorm_min()));
115 BOOST_TEST(FP_SUBNORMAL == (boost::math::fpclassify)((std::numeric_limits<Number>::min)() / 2));
116 BOOST_TEST((boost::math::isfinite)(std::numeric_limits<Number>::denorm_min()));
117 BOOST_TEST(!(boost::math::isnormal)(std::numeric_limits<Number>::denorm_min()));
118 BOOST_TEST(!(boost::math::isinf)(std::numeric_limits<Number>::denorm_min()));
119 BOOST_TEST(!(boost::math::isnan)(std::numeric_limits<Number>::denorm_min()));
120 BOOST_TEST(0 == std::numeric_limits<Number>::denorm_min() / 2);
121 BOOST_TEST(0 != (std::numeric_limits<Number>::min)() / 2);
122 BOOST_TEST(0 != std::numeric_limits<Number>::denorm_min());
126 BOOST_TEST((boost::math::fpclassify)(n) == FP_ZERO);
127 BOOST_TEST((boost::math::isfinite)(n));
128 BOOST_TEST(!(boost::math::isnormal)(n));
129 BOOST_TEST(!(boost::math::isinf)(n));
130 BOOST_TEST(!(boost::math::isnan)(n));
132 BOOST_TEST((boost::math::fpclassify)(n) == FP_NORMAL);
133 BOOST_TEST((boost::math::isfinite)(n));
134 BOOST_TEST((boost::math::isnormal)(n));
135 BOOST_TEST(!(boost::math::isinf)(n));
136 BOOST_TEST(!(boost::math::isnan)(n));
138 if (std::numeric_limits<Number>::round_style == std::round_to_nearest)
140 BOOST_CHECK_EQUAL(std::numeric_limits<Number>::round_error(), 0.5);
142 else if (std::numeric_limits<Number>::round_style != std::round_indeterminate)
144 // Round error is 1.0:
145 BOOST_CHECK_EQUAL(std::numeric_limits<Number>::round_error(), 1);
149 // Round error is presumably somewhere between 0.5 and 1:
150 BOOST_CHECK((std::numeric_limits<Number>::round_error() <= 1) && (std::numeric_limits<Number>::round_error() >= 0.5));
154 template <class Number>
155 void test_specific(const boost::mpl::int_<boost::multiprecision::number_kind_integer>&)
157 if (std::numeric_limits<Number>::is_modulo)
159 if (!std::numeric_limits<Number>::is_signed)
161 BOOST_TEST(1 + (std::numeric_limits<Number>::max)() == 0);
162 BOOST_TEST(--Number(0) == (std::numeric_limits<Number>::max)());
167 template <class Number, class T>
168 void test_specific(const T&)
172 template <class Number>
175 typedef typename boost::mpl::if_c<
176 std::numeric_limits<Number>::is_specialized,
177 typename boost::multiprecision::number_category<Number>::type,
178 boost::mpl::int_<500> // not a number type
179 >::type fp_test_type;
181 test_specific<Number>(fp_test_type());
184 // Note really a test just yet, but we can at least print out all the values:
186 std::cout << "numeric_limits values for type " << typeid(Number).name() << std::endl;
188 PRINT(is_specialized);
189 if (std::numeric_limits<Number>::is_integer)
191 std::cout << std::hex << std::showbase;
194 << " = " << (std::numeric_limits<Number>::max)() << std::endl;
195 if (std::numeric_limits<Number>::is_integer)
197 std::cout << std::dec;
200 << " = " << (std::numeric_limits<Number>::max)() << std::endl;
202 << " = " << (std::numeric_limits<Number>::min)() << std::endl;
203 #ifndef BOOST_NO_CXX11_NUMERIC_LIMITS
208 #ifndef BOOST_NO_CXX11_NUMERIC_LIMITS
216 PRINT(round_error());
218 PRINT(min_exponent10);
220 PRINT(max_exponent10);
222 PRINT(has_quiet_NaN);
223 PRINT(has_signaling_NaN);
225 PRINT(has_denorm_loss);
228 PRINT(signaling_NaN());
234 PRINT(tinyness_before);
241 test<boost::multiprecision::number<boost::multiprecision::concepts::number_backend_float_architype> >();
244 test<boost::multiprecision::mpf_float_50>();
247 boost::multiprecision::mpf_float::default_precision(1000);
249 boost::multiprecision::mpf_float r;
251 BOOST_TEST(r.precision() >= 50);
253 BOOST_TEST(boost::multiprecision::mpf_float::default_precision() == 1000);
254 test<boost::multiprecision::mpf_float>();
257 test<boost::multiprecision::mpz_int>();
260 test<boost::multiprecision::mpq_rational>();
262 #ifdef TEST_CPP_DEC_FLOAT
263 test<boost::multiprecision::cpp_dec_float_50>();
264 test<boost::multiprecision::cpp_dec_float_100>();
267 test<boost::multiprecision::mpfr_float>();
270 test<boost::multiprecision::mpfr_float_50>();
273 test<boost::multiprecision::mpfi_float_50>();
274 test<boost::multiprecision::mpfi_float>();
277 test<boost::multiprecision::tom_int>();
280 test<boost::multiprecision::cpp_int>();
281 test<boost::multiprecision::int256_t>();
282 test<boost::multiprecision::uint512_t>();
283 test<boost::multiprecision::number<boost::multiprecision::cpp_int_backend<200, 200, boost::multiprecision::unsigned_magnitude, boost::multiprecision::checked, void> > >();
284 test<boost::multiprecision::number<boost::multiprecision::cpp_int_backend<70, 70, boost::multiprecision::signed_magnitude, boost::multiprecision::unchecked, void> > >();
287 test<boost::multiprecision::float128>();
289 #ifdef TEST_CPP_BIN_FLOAT
290 test<boost::multiprecision::cpp_bin_float_50>();
292 return boost::report_errors();