/* * Created by Martin on 07/11/2017. * * Distributed under 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) */ #include "catch_matchers_floating.h" #include "catch_enforce.h" #include "catch_polyfills.hpp" #include "catch_to_string.hpp" #include "catch_tostring.h" #include <cstdlib> #include <cstdint> #include <cstring> namespace Catch { namespace Matchers { namespace Floating { enum class FloatingPointKind : uint8_t { Float, Double }; } } } namespace { template <typename T> struct Converter; template <> struct Converter<float> { static_assert(sizeof(float) == sizeof(int32_t), "Important ULP matcher assumption violated"); Converter(float f) { std::memcpy(&i, &f, sizeof(f)); } int32_t i; }; template <> struct Converter<double> { static_assert(sizeof(double) == sizeof(int64_t), "Important ULP matcher assumption violated"); Converter(double d) { std::memcpy(&i, &d, sizeof(d)); } int64_t i; }; template <typename T> auto convert(T t) -> Converter<T> { return Converter<T>(t); } template <typename FP> bool almostEqualUlps(FP lhs, FP rhs, int maxUlpDiff) { // Comparison with NaN should always be false. // This way we can rule it out before getting into the ugly details if (Catch::isnan(lhs) || Catch::isnan(rhs)) { return false; } auto lc = convert(lhs); auto rc = convert(rhs); if ((lc.i < 0) != (rc.i < 0)) { // Potentially we can have +0 and -0 return lhs == rhs; } auto ulpDiff = std::abs(lc.i - rc.i); return ulpDiff <= maxUlpDiff; } } namespace Catch { namespace Matchers { namespace Floating { WithinAbsMatcher::WithinAbsMatcher(double target, double margin) :m_target{ target }, m_margin{ margin } { CATCH_ENFORCE(margin >= 0, "Invalid margin: " << margin << '.' << " Margin has to be non-negative."); } // Performs equivalent check of std::fabs(lhs - rhs) <= margin // But without the subtraction to allow for INFINITY in comparison bool WithinAbsMatcher::match(double const& matchee) const { return (matchee + m_margin >= m_target) && (m_target + m_margin >= matchee); } std::string WithinAbsMatcher::describe() const { return "is within " + ::Catch::Detail::stringify(m_margin) + " of " + ::Catch::Detail::stringify(m_target); } WithinUlpsMatcher::WithinUlpsMatcher(double target, int ulps, FloatingPointKind baseType) :m_target{ target }, m_ulps{ ulps }, m_type{ baseType } { CATCH_ENFORCE(ulps >= 0, "Invalid ULP setting: " << ulps << '.' << " ULPs have to be non-negative."); } #if defined(__clang__) #pragma clang diagnostic push // Clang <3.5 reports on the default branch in the switch below #pragma clang diagnostic ignored "-Wunreachable-code" #endif bool WithinUlpsMatcher::match(double const& matchee) const { switch (m_type) { case FloatingPointKind::Float: return almostEqualUlps<float>(static_cast<float>(matchee), static_cast<float>(m_target), m_ulps); case FloatingPointKind::Double: return almostEqualUlps<double>(matchee, m_target, m_ulps); default: CATCH_INTERNAL_ERROR( "Unknown FloatingPointKind value" ); } } #if defined(__clang__) #pragma clang diagnostic pop #endif std::string WithinUlpsMatcher::describe() const { return "is within " + Catch::to_string(m_ulps) + " ULPs of " + ::Catch::Detail::stringify(m_target) + ((m_type == FloatingPointKind::Float)? "f" : ""); } }// namespace Floating Floating::WithinUlpsMatcher WithinULP(double target, int maxUlpDiff) { return Floating::WithinUlpsMatcher(target, maxUlpDiff, Floating::FloatingPointKind::Double); } Floating::WithinUlpsMatcher WithinULP(float target, int maxUlpDiff) { return Floating::WithinUlpsMatcher(target, maxUlpDiff, Floating::FloatingPointKind::Float); } Floating::WithinAbsMatcher WithinAbs(double target, double margin) { return Floating::WithinAbsMatcher(target, margin); } } // namespace Matchers } // namespace Catch