// Copyright John Maddock 2023. // 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 #include #include #include #include #include #include #include #include #include #ifdef BOOST_FLOAT128_C #if defined(__INTEL_COMPILER) || defined(BOOST_MATH_TEST_IO_AS_INTEL_QUAD) bool has_bad_bankers_rounding(const boost::float128_t&) { return true; } #endif #endif template bool has_bad_bankers_rounding(const T&) { return false; } enum { warn_on_fail, error_on_fail, abort_on_fail }; inline std::ostream& report_where(const char* file, int line, const char* function) { if (function) BOOST_LIGHTWEIGHT_TEST_OSTREAM << "In function: " << function << std::endl; BOOST_LIGHTWEIGHT_TEST_OSTREAM << file << ":" << line; return BOOST_LIGHTWEIGHT_TEST_OSTREAM; } #define BOOST_MP_REPORT_WHERE report_where(__FILE__, __LINE__, BOOST_CURRENT_FUNCTION) inline void report_severity(int severity) { if (severity == error_on_fail) ++boost::detail::test_errors(); else if (severity == abort_on_fail) { ++boost::detail::test_errors(); abort(); } } #define BOOST_MP_REPORT_SEVERITY(severity) report_severity(severity) template void report_unexpected_exception(const E& e, int severity, const char* file, int line, const char* function) { report_where(file, line, function) << " Unexpected exception of type " << typeid(e).name() << std::endl; BOOST_LIGHTWEIGHT_TEST_OSTREAM << "Errot message was: " << e.what() << std::endl; BOOST_MP_REPORT_SEVERITY(severity); } #ifdef BOOST_HAS_INT128 std::ostream& operator<<(std::ostream& os, boost::int128_type val) { std::stringstream ss; ss << std::hex << "0x" << static_cast(static_cast(val) >> 64) << static_cast(val); return os << ss.str(); } std::ostream& operator<<(std::ostream& os, boost::uint128_type val) { std::stringstream ss; ss << std::hex << "0x" << static_cast(val >> 64) << static_cast(val); return os << ss.str(); } #endif #ifndef BOOST_NO_EXCEPTIONS #define BOOST_MP_UNEXPECTED_EXCEPTION_CHECK(severity) \ catch (const std::exception& e) \ { \ report_unexpected_exception(e, severity, __FILE__, __LINE__, BOOST_CURRENT_FUNCTION); \ } \ catch (...) \ { \ std::cout << "Exception of unknown type was thrown" << std::endl; \ report_severity(severity); \ } #define BOOST_MP_TEST_TRY try #else #define BOOST_MP_UNEXPECTED_EXCEPTION_CHECK(severity) #define BOOST_MP_TEST_TRY #endif #define BOOST_CHECK_IMP(x, severity) \ BOOST_MP_TEST_TRY \ { \ if (x) \ { \ } \ else \ { \ BOOST_MP_REPORT_WHERE << " Failed predicate: " << BOOST_STRINGIZE(x) << std::endl; \ BOOST_MP_REPORT_SEVERITY(severity); \ } \ } \ BOOST_MP_UNEXPECTED_EXCEPTION_CHECK(severity) #define BOOST_CHECK(x) BOOST_CHECK_IMP(x, error_on_fail) #define BOOST_WARN(x) BOOST_CHECK_IMP(x, warn_on_fail) #define BOOST_REQUIRE(x) BOOST_CHECK_IMP(x, abort_on_fail) #define BOOST_CLOSE_IMP(x, y, tol, severity) \ BOOST_MP_TEST_TRY \ { \ if (relative_error(x, y) > tol) \ { \ BOOST_MP_REPORT_WHERE << " Failed check for closeness: \n" \ << std::setprecision(std::numeric_limits::max_digits10) << std::scientific \ << "Value of LHS was: " << x << "\n" \ << "Value of RHS was: " << y << "\n" \ << std::setprecision(5) << std::fixed \ << "Relative error was: " << relative_error(x, y) << "eps\n" \ << "Tolerance was: " << tol << "eps" << std::endl; \ BOOST_MP_REPORT_SEVERITY(severity); \ } \ } \ BOOST_MP_UNEXPECTED_EXCEPTION_CHECK(severity) #define BOOST_EQUAL_IMP(x, y, severity) \ BOOST_MP_TEST_TRY \ { \ if (!((x) == (y))) \ { \ BOOST_MP_REPORT_WHERE << " Failed check for equality: \n" \ << std::setprecision(std::numeric_limits::max_digits10) << std::scientific \ << "Value of LHS was: " << (x) << "\n" \ << "Value of RHS was: " << (y) << "\n" \ << std::setprecision(3) << std::endl; \ BOOST_MP_REPORT_SEVERITY(severity); \ } \ } \ BOOST_MP_UNEXPECTED_EXCEPTION_CHECK(severity) #define BOOST_NE_IMP(x, y, severity) \ BOOST_MP_TEST_TRY \ { \ if (!(x != y)) \ { \ BOOST_MP_REPORT_WHERE << " Failed check for non-equality: \n" \ << std::setprecision(std::numeric_limits::max_digits10) << std::scientific \ << "Value of LHS was: " << x << "\n" \ << "Value of RHS was: " << y << "\n" \ << std::setprecision(3) << std::endl; \ BOOST_MP_REPORT_SEVERITY(severity); \ } \ } \ BOOST_MP_UNEXPECTED_EXCEPTION_CHECK(severity) #define BOOST_LT_IMP(x, y, severity) \ BOOST_MP_TEST_TRY \ { \ if (!(x < y)) \ { \ BOOST_MP_REPORT_WHERE << " Failed check for less than: \n" \ << std::setprecision(std::numeric_limits::max_digits10) << std::scientific \ << "Value of LHS was: " << x << "\n" \ << "Value of RHS was: " << y << "\n" \ << std::setprecision(3) << std::endl; \ BOOST_MP_REPORT_SEVERITY(severity); \ } \ } \ BOOST_MP_UNEXPECTED_EXCEPTION_CHECK(severity) #define BOOST_GT_IMP(x, y, severity) \ BOOST_MP_TEST_TRY \ { \ if (!(x > y)) \ { \ BOOST_MP_REPORT_WHERE << " Failed check for greater than: \n" \ << std::setprecision(std::numeric_limits::max_digits10) << std::scientific \ << "Value of LHS was: " << x << "\n" \ << "Value of RHS was: " << y << "\n" \ << std::setprecision(3) << std::endl; \ BOOST_MP_REPORT_SEVERITY(severity); \ } \ } \ BOOST_MP_UNEXPECTED_EXCEPTION_CHECK(severity) #define BOOST_LE_IMP(x, y, severity) \ BOOST_MP_TEST_TRY \ { \ if (!(x <= y)) \ { \ BOOST_MP_REPORT_WHERE << " Failed check for less-than-equal-to: \n" \ << std::setprecision(std::numeric_limits::max_digits10) << std::scientific \ << "Value of LHS was: " << x << "\n" \ << "Value of RHS was: " << y << "\n" \ << std::setprecision(3) << std::endl; \ BOOST_MP_REPORT_SEVERITY(severity); \ } \ } \ BOOST_MP_UNEXPECTED_EXCEPTION_CHECK(severity) #define BOOST_GE_IMP(x, y, severity) \ BOOST_MP_TEST_TRY \ { \ if (!(x >= y)) \ { \ BOOST_MP_REPORT_WHERE << " Failed check for greater-than-equal-to \n" \ << std::setprecision(std::numeric_limits::max_digits10) << std::scientific \ << "Value of LHS was: " << x << "\n" \ << "Value of RHS was: " << y << "\n" \ << std::setprecision(3) << std::endl; \ BOOST_MP_REPORT_SEVERITY(severity); \ } \ } \ BOOST_MP_UNEXPECTED_EXCEPTION_CHECK(severity) #ifndef BOOST_NO_EXCEPTIONS #define BOOST_MT_CHECK_THROW_IMP(x, E, severity) \ BOOST_MP_TEST_TRY \ { \ x; \ BOOST_MP_REPORT_WHERE << " Expected exception not thrown in expression " << BOOST_STRINGIZE(x) << std::endl; \ BOOST_MP_REPORT_SEVERITY(severity); \ } \ catch (const E&) {} \ BOOST_MP_UNEXPECTED_EXCEPTION_CHECK(severity) #else #define BOOST_MT_CHECK_THROW_IMP(x, E, severity) #endif #define BOOST_CHECK_EQUAL(x, y) BOOST_EQUAL_IMP(x, y, error_on_fail) #define BOOST_WARN_EQUAL(x, y) BOOST_EQUAL_IMP(x, y, warn_on_fail) #define BOOST_REQUIRE_EQUAL(x, y) BOOST_EQUAL_IMP(x, y, abort_on_fail) 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; } 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; } template bool is_bankers_rounding_error(T new_val, T val) { // This check isn't foolproof: that would require *much* more sophisticated code!!! auto n = boost::math::float_distance(new_val, val) == 1; std::cout << "Distance was: " << n << std::endl; return std::abs(n) <= 1; } template void test() { typedef T mp_t; std::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}}; std::array, 40> string_data = {{ #include "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 Intel _Quad.\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(); } } } } num = -num; if (j & 1) denom *= 8; val = num / denom; } std::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(); } } } } template T generate_random() { typedef int 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 = std::frexp(val, &e); static boost::random::uniform_int_distribution ui(0, std::numeric_limits::max_exponent - 10); return std::ldexp(val, ui(gen)); } template void do_round_trip(const T& val, std::ios_base::fmtflags f) { std::stringstream ss; ss << std::setprecision(std::numeric_limits::max_digits10); ss.flags(f); ss << val; T new_val; ss >> new_val; if (new_val != val) { if (has_bad_bankers_rounding(T()) && is_bankers_rounding_error(new_val, val)) { std::cout << "Ignoring bankers-rounding error with Intel _Quad mp_f.\n"; } else { 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)); } } int main() { test(); test(); test_round_trip(); test_round_trip(); #ifdef BOOST_FLOAT128_C test(); test_round_trip(); #endif return boost::report_errors(); }