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238 lines
7.3 KiB
238 lines
7.3 KiB
/*
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* Created by Martin on 07/11/2017.
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*
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* Distributed under the Boost Software License, Version 1.0. (See accompanying
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* file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
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*/
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#include "catch_matchers_floating.h"
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#include "catch_enforce.h"
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#include "catch_polyfills.hpp"
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#include "catch_to_string.hpp"
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#include "catch_tostring.h"
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#include <algorithm>
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#include <cmath>
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#include <cstdlib>
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#include <cstdint>
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#include <cstring>
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#include <sstream>
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#include <type_traits>
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#include <iomanip>
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#include <limits>
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namespace Catch {
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namespace {
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int32_t convert(float f) {
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static_assert(sizeof(float) == sizeof(int32_t), "Important ULP matcher assumption violated");
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int32_t i;
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std::memcpy(&i, &f, sizeof(f));
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return i;
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}
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int64_t convert(double d) {
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static_assert(sizeof(double) == sizeof(int64_t), "Important ULP matcher assumption violated");
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int64_t i;
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std::memcpy(&i, &d, sizeof(d));
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return i;
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}
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template <typename FP>
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bool almostEqualUlps(FP lhs, FP rhs, uint64_t maxUlpDiff) {
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// Comparison with NaN should always be false.
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// This way we can rule it out before getting into the ugly details
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if (Catch::isnan(lhs) || Catch::isnan(rhs)) {
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return false;
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}
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auto lc = convert(lhs);
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auto rc = convert(rhs);
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if ((lc < 0) != (rc < 0)) {
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// Potentially we can have +0 and -0
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return lhs == rhs;
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}
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auto ulpDiff = std::abs(lc - rc);
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return static_cast<uint64_t>(ulpDiff) <= maxUlpDiff;
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}
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#if defined(CATCH_CONFIG_GLOBAL_NEXTAFTER)
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float nextafter(float x, float y) {
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return ::nextafterf(x, y);
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}
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double nextafter(double x, double y) {
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return ::nextafter(x, y);
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}
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#endif // ^^^ CATCH_CONFIG_GLOBAL_NEXTAFTER ^^^
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template <typename FP>
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FP step(FP start, FP direction, uint64_t steps) {
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for (uint64_t i = 0; i < steps; ++i) {
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#if defined(CATCH_CONFIG_GLOBAL_NEXTAFTER)
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start = Catch::nextafter(start, direction);
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#else
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start = std::nextafter(start, direction);
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#endif
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}
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return start;
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}
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// Performs equivalent check of std::fabs(lhs - rhs) <= margin
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// But without the subtraction to allow for INFINITY in comparison
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bool marginComparison(double lhs, double rhs, double margin) {
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return (lhs + margin >= rhs) && (rhs + margin >= lhs);
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}
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template <typename FloatingPoint>
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void write(std::ostream& out, FloatingPoint num) {
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out << std::scientific
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<< std::setprecision(std::numeric_limits<FloatingPoint>::max_digits10 - 1)
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<< num;
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}
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} // end anonymous namespace
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namespace Matchers {
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namespace Floating {
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enum class FloatingPointKind : uint8_t {
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Float,
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Double
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};
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WithinAbsMatcher::WithinAbsMatcher(double target, double margin)
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:m_target{ target }, m_margin{ margin } {
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CATCH_ENFORCE(margin >= 0, "Invalid margin: " << margin << '.'
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<< " Margin has to be non-negative.");
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}
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// Performs equivalent check of std::fabs(lhs - rhs) <= margin
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// But without the subtraction to allow for INFINITY in comparison
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bool WithinAbsMatcher::match(double const& matchee) const {
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return (matchee + m_margin >= m_target) && (m_target + m_margin >= matchee);
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}
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std::string WithinAbsMatcher::describe() const {
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return "is within " + ::Catch::Detail::stringify(m_margin) + " of " + ::Catch::Detail::stringify(m_target);
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}
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WithinUlpsMatcher::WithinUlpsMatcher(double target, uint64_t ulps, FloatingPointKind baseType)
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:m_target{ target }, m_ulps{ ulps }, m_type{ baseType } {
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CATCH_ENFORCE(m_type == FloatingPointKind::Double
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|| m_ulps < (std::numeric_limits<uint32_t>::max)(),
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"Provided ULP is impossibly large for a float comparison.");
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}
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#if defined(__clang__)
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#pragma clang diagnostic push
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// Clang <3.5 reports on the default branch in the switch below
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#pragma clang diagnostic ignored "-Wunreachable-code"
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#endif
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bool WithinUlpsMatcher::match(double const& matchee) const {
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switch (m_type) {
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case FloatingPointKind::Float:
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return almostEqualUlps<float>(static_cast<float>(matchee), static_cast<float>(m_target), m_ulps);
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case FloatingPointKind::Double:
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return almostEqualUlps<double>(matchee, m_target, m_ulps);
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default:
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CATCH_INTERNAL_ERROR( "Unknown FloatingPointKind value" );
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}
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}
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#if defined(__clang__)
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#pragma clang diagnostic pop
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#endif
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std::string WithinUlpsMatcher::describe() const {
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std::stringstream ret;
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ret << "is within " << m_ulps << " ULPs of ";
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if (m_type == FloatingPointKind::Float) {
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write(ret, static_cast<float>(m_target));
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ret << 'f';
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} else {
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write(ret, m_target);
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}
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ret << " ([";
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if (m_type == FloatingPointKind::Double) {
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write(ret, step(m_target, static_cast<double>(-INFINITY), m_ulps));
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ret << ", ";
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write(ret, step(m_target, static_cast<double>( INFINITY), m_ulps));
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} else {
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// We have to cast INFINITY to float because of MinGW, see #1782
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write(ret, step(static_cast<float>(m_target), static_cast<float>(-INFINITY), m_ulps));
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ret << ", ";
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write(ret, step(static_cast<float>(m_target), static_cast<float>( INFINITY), m_ulps));
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}
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ret << "])";
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return ret.str();
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}
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WithinRelMatcher::WithinRelMatcher(double target, double epsilon):
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m_target(target),
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m_epsilon(epsilon){
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CATCH_ENFORCE(m_epsilon >= 0., "Relative comparison with epsilon < 0 does not make sense.");
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CATCH_ENFORCE(m_epsilon < 1., "Relative comparison with epsilon >= 1 does not make sense.");
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}
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bool WithinRelMatcher::match(double const& matchee) const {
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const auto relMargin = m_epsilon * (std::max)(std::fabs(matchee), std::fabs(m_target));
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return marginComparison(matchee, m_target,
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std::isinf(relMargin)? 0 : relMargin);
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}
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std::string WithinRelMatcher::describe() const {
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Catch::ReusableStringStream sstr;
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sstr << "and " << m_target << " are within " << m_epsilon * 100. << "% of each other";
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return sstr.str();
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}
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}// namespace Floating
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Floating::WithinUlpsMatcher WithinULP(double target, uint64_t maxUlpDiff) {
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return Floating::WithinUlpsMatcher(target, maxUlpDiff, Floating::FloatingPointKind::Double);
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}
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Floating::WithinUlpsMatcher WithinULP(float target, uint64_t maxUlpDiff) {
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return Floating::WithinUlpsMatcher(target, maxUlpDiff, Floating::FloatingPointKind::Float);
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}
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Floating::WithinAbsMatcher WithinAbs(double target, double margin) {
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return Floating::WithinAbsMatcher(target, margin);
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}
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Floating::WithinRelMatcher WithinRel(double target, double eps) {
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return Floating::WithinRelMatcher(target, eps);
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}
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Floating::WithinRelMatcher WithinRel(double target) {
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return Floating::WithinRelMatcher(target, std::numeric_limits<double>::epsilon() * 100);
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}
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Floating::WithinRelMatcher WithinRel(float target, float eps) {
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return Floating::WithinRelMatcher(target, eps);
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}
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Floating::WithinRelMatcher WithinRel(float target) {
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return Floating::WithinRelMatcher(target, std::numeric_limits<float>::epsilon() * 100);
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}
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} // namespace Matchers
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} // namespace Catch
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