// Copyright John Maddock 2011. // 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) #ifdef _MSC_VER #define _SCL_SECURE_NO_WARNINGS #endif #if !defined(TEST_MPF_50) && !defined(TEST_CPP_DEC_FLOAT) && !defined(TEST_MPFR_50) && !defined(TEST_MPFI_50) && !defined(TEST_FLOAT128) #define TEST_MPF_50 #define TEST_CPP_DEC_FLOAT #define TEST_MPFR_50 #define TEST_MPFI_50 #define TEST_FLOAT128 #ifdef _MSC_VER #pragma message("CAUTION!!: No backend type specified so testing everything.... this will take some time!!") #endif #ifdef __GNUC__ #pragma warning "CAUTION!!: No backend type specified so testing everything.... this will take some time!!" #endif #endif #if defined(TEST_MPF_50) #include #endif #if defined(TEST_MPFR_50) #include #endif #if defined(TEST_MPFI_50) #include #endif #ifdef TEST_CPP_DEC_FLOAT #include #endif #ifdef TEST_FLOAT128 #include #endif #include #include #include "test.hpp" #include #include #include #ifdef BOOST_MSVC #pragma warning(disable : 4127) #endif #if defined(TEST_MPF_50) template bool has_bad_bankers_rounding(const boost::multiprecision::number, ET>&) { return true; } #endif #if defined(TEST_FLOAT128) && defined(BOOST_INTEL) bool has_bad_bankers_rounding(const boost::multiprecision::float128&) { return true; } #endif template bool has_bad_bankers_rounding(const T&) { return false; } bool is_bankers_rounding_error(const std::string& s, const char* expect) { // This check isn't foolproof: that would require *much* more sophisticated code!!! std::string::size_type l = std::strlen(expect); if (l != s.size()) return false; std::string::size_type len = s.find('e'); if (len == std::string::npos) len = l - 1; else --len; if (s.compare(0, len, expect, len)) return false; if (s[len] != expect[len] + 1) return false; return true; } void print_flags(std::ios_base::fmtflags f) { std::cout << "Formatting flags were: "; if (f & std::ios_base::scientific) std::cout << "scientific "; if (f & std::ios_base::fixed) std::cout << "fixed "; if (f & std::ios_base::showpoint) std::cout << "showpoint "; if (f & std::ios_base::showpos) std::cout << "showpos "; std::cout << std::endl; } template void test() { typedef T mp_t; boost::array f = {{std::ios_base::fmtflags(0), std::ios_base::showpoint, std::ios_base::showpos, std::ios_base::scientific, std::ios_base::scientific | std::ios_base::showpos, std::ios_base::scientific | std::ios_base::showpoint, std::ios_base::fixed, std::ios_base::fixed | std::ios_base::showpoint, std::ios_base::fixed | std::ios_base::showpos}}; boost::array, 40> string_data = {{ #include "libs/multiprecision/test/string_data.ipp" }}; double num = 123456789.0; double denom = 1; double val = num; for (unsigned j = 0; j < 40; ++j) { unsigned col = 0; for (unsigned prec = 1; prec < 14; ++prec) { for (unsigned i = 0; i < f.size(); ++i, ++col) { std::stringstream ss; ss.precision(prec); ss.flags(f[i]); ss << mp_t(val); const char* expect = string_data[j][col]; if (ss.str() != expect) { if (has_bad_bankers_rounding(mp_t()) && is_bankers_rounding_error(ss.str(), expect)) { std::cout << "Ignoring bankers-rounding error with GMP mp_f.\n"; } else { std::cout << std::setprecision(20) << "Testing value " << val << std::endl; print_flags(f[i]); std::cout << "Precision is: " << prec << std::endl; std::cout << "Got: " << ss.str() << std::endl; std::cout << "Expected: " << expect << std::endl; ++boost::detail::test_errors(); mp_t(val).str(prec, f[i]); // for debugging } } } } num = -num; if (j & 1) denom *= 8; val = num / denom; } boost::array zeros = {{"0", "0.", "+0", "0.0e+00", "+0.0e+00", "0.0e+00", "0.0", "0.0", "+0.0", "0", "0.0", "+0", "0.00e+00", "+0.00e+00", "0.00e+00", "0.00", "0.00", "+0.00", "0", "0.00", "+0", "0.000e+00", "+0.000e+00", "0.000e+00", "0.000", "0.000", "+0.000", "0", "0.000", "+0", "0.0000e+00", "+0.0000e+00", "0.0000e+00", "0.0000", "0.0000", "+0.0000", "0", "0.0000", "+0", "0.00000e+00", "+0.00000e+00", "0.00000e+00", "0.00000", "0.00000", "+0.00000", "0", "0.00000", "+0", "0.000000e+00", "+0.000000e+00", "0.000000e+00", "0.000000", "0.000000", "+0.000000", "0", "0.000000", "+0", "0.0000000e+00", "+0.0000000e+00", "0.0000000e+00", "0.0000000", "0.0000000", "+0.0000000", "0", "0.0000000", "+0", "0.00000000e+00", "+0.00000000e+00", "0.00000000e+00", "0.00000000", "0.00000000", "+0.00000000", "0", "0.00000000", "+0", "0.000000000e+00", "+0.000000000e+00", "0.000000000e+00", "0.000000000", "0.000000000", "+0.000000000", "0", "0.000000000", "+0", "0.0000000000e+00", "+0.0000000000e+00", "0.0000000000e+00", "0.0000000000", "0.0000000000", "+0.0000000000", "0", "0.0000000000", "+0", "0.00000000000e+00", "+0.00000000000e+00", "0.00000000000e+00", "0.00000000000", "0.00000000000", "+0.00000000000", "0", "0.00000000000", "+0", "0.000000000000e+00", "+0.000000000000e+00", "0.000000000000e+00", "0.000000000000", "0.000000000000", "+0.000000000000", "0", "0.000000000000", "+0", "0.0000000000000e+00", "+0.0000000000000e+00", "0.0000000000000e+00", "0.0000000000000", "0.0000000000000", "+0.0000000000000"}}; unsigned col = 0; val = 0; for (unsigned prec = 1; prec < 14; ++prec) { for (unsigned i = 0; i < f.size(); ++i, ++col) { std::stringstream ss; ss.precision(prec); ss.flags(f[i]); ss << mp_t(val); const char* expect = zeros[col]; if (ss.str() != expect) { std::cout << std::setprecision(20) << "Testing value " << val << std::endl; print_flags(f[i]); std::cout << "Precision is: " << prec << std::endl; std::cout << "Got: " << ss.str() << std::endl; std::cout << "Expected: " << expect << std::endl; ++boost::detail::test_errors(); mp_t(val).str(prec, f[i]); // for debugging } } } if (std::numeric_limits::has_infinity) { T val = std::numeric_limits::infinity(); BOOST_CHECK_EQUAL(val.str(), "inf"); BOOST_CHECK_EQUAL(val.str(0, std::ios_base::showpos), "+inf"); val = -val; BOOST_CHECK_EQUAL(val.str(), "-inf"); BOOST_CHECK_EQUAL(val.str(0, std::ios_base::showpos), "-inf"); val = static_cast("inf"); BOOST_CHECK_EQUAL(val, std::numeric_limits::infinity()); val = static_cast("+inf"); BOOST_CHECK_EQUAL(val, std::numeric_limits::infinity()); val = static_cast("-inf"); BOOST_CHECK_EQUAL(val, -std::numeric_limits::infinity()); } if (std::numeric_limits::has_quiet_NaN) { T val = std::numeric_limits::quiet_NaN(); BOOST_CHECK_EQUAL(val.str(), "nan"); val = static_cast("nan"); BOOST_CHECK((boost::math::isnan)(val)); } // // Bug cases: // // https://github.com/boostorg/multiprecision/issues/113 // { T val("99.9809"); BOOST_CHECK_EQUAL(val.str(3, std::ios_base::fixed), "99.981"); } } template T generate_random() { typedef typename T::backend_type::exponent_type e_type; static boost::random::mt19937 gen; T val = gen(); T prev_val = -1; while (val != prev_val) { val *= (gen.max)(); prev_val = val; val += gen(); } e_type e; val = frexp(val, &e); static boost::random::uniform_int_distribution ui(0, std::numeric_limits::max_exponent - 10); return ldexp(val, ui(gen)); } template struct max_digits10_proxy { static const unsigned value = std::numeric_limits::digits10 + 5; }; #ifdef TEST_CPP_DEC_FLOAT template struct max_digits10_proxy, ET> > { static const unsigned value = std::numeric_limits, ET> >::max_digits10; }; #endif #ifdef TEST_MPF_50 template struct max_digits10_proxy, ET> > { static const unsigned value = std::numeric_limits, ET> >::max_digits10; }; #endif #ifdef TEST_MPFR_50 template struct max_digits10_proxy, ET> > { static const unsigned value = std::numeric_limits, ET> >::max_digits10; }; #endif template void do_round_trip(const T& val, std::ios_base::fmtflags f) { std::stringstream ss; #ifndef BOOST_NO_CXX11_NUMERIC_LIMITS ss << std::setprecision(std::numeric_limits::max_digits10); #else ss << std::setprecision(max_digits10_proxy::value); #endif ss.flags(f); ss << val; T new_val = static_cast(ss.str()); BOOST_CHECK_EQUAL(new_val, val); new_val = static_cast(val.str(0, f)); BOOST_CHECK_EQUAL(new_val, val); } template void do_round_trip(const T& val) { do_round_trip(val, std::ios_base::fmtflags(0)); do_round_trip(val, std::ios_base::fmtflags(std::ios_base::scientific)); if ((fabs(val) > 1) && (fabs(val) < 1e100)) do_round_trip(val, std::ios_base::fmtflags(std::ios_base::fixed)); } template void test_round_trip() { for (unsigned i = 0; i < 1000; ++i) { T val = generate_random(); do_round_trip(val); do_round_trip(T(-val)); do_round_trip(T(1 / val)); do_round_trip(T(-1 / val)); } } #ifdef TEST_FLOAT128 void test_hexadecimal_floating_point() { using boost::multiprecision::float128; float128 x = 0x1p+0Q; std::string s = x.str(0, std::ios_base::fmtflags(std::ios_base::fixed | std::ios_base::scientific)); BOOST_CHECK_EQUAL(s, "0x1p+0"); s = x.str(0, std::ios_base::fmtflags(std::ios_base::floatfield)); BOOST_CHECK_EQUAL(s, "0x1p+0"); x = -1; s = x.str(0, std::ios_base::fmtflags(std::ios_base::floatfield)); BOOST_CHECK_EQUAL(s, "-0x1p+0"); // hexadecimal representation of pi; test a round trip: float128 pi1 = 0x1.921fb54442d18469898cc51701b8p+1Q; s = pi1.str(0, std::ios_base::fmtflags(std::ios_base::floatfield)); float128 pi2(s); BOOST_CHECK_EQUAL(pi1, pi2); } #endif int main() { #ifdef TEST_MPFR_50 test(); test(); test_round_trip(); test_round_trip(); #endif #ifdef TEST_MPFI_50 test(); test(); test_round_trip(); test_round_trip(); #endif #ifdef TEST_CPP_DEC_FLOAT test(); test(); // cpp_dec_float has extra guard digits that messes this up: test_round_trip(); test_round_trip(); #endif #ifdef TEST_MPF_50 test(); test(); /* // I can't get this to work with mpf_t - mpf_str appears // not to actually print enough decimal digits: test_round_trip(); test_round_trip(); */ #endif #ifdef TEST_FLOAT128 test(); test_hexadecimal_floating_point(); #ifndef BOOST_INTEL test_round_trip(); #endif #endif return boost::report_errors(); }