...one of the most highly
regarded and expertly designed C++ library projects in the
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— Herb Sutter and Andrei
Alexandrescu, C++
Coding Standards
boost::math::fpc::close_at_tolerance — Predicate for comparing floating point numbers.
// In header: <boost/test/tools/floating_point_comparison.hpp> template<typename FPT> class close_at_tolerance { public: // types typedef bool result_type; // construct/copy/destruct template<typename ToleranceType> explicit close_at_tolerance(ToleranceType, fpc::strength = FPC_STRONG); // public member functions FPT fraction_tolerance() const; fpc::strength strength() const; FPT tested_rel_diff() const; bool operator()(FPT, FPT) const; };
This predicate is used to compare floating point numbers. In addition the comparison produces maximum related differnce, which can be used to generate detailed error message The methods for comparing floating points are detailed in the documentation. The method is chosen by the boost::math::fpc::strength given at construction.
close_at_tolerance
public member functionsFPT fraction_tolerance() const;Returns the tolerance.
fpc::strength strength() const;Returns the comparison method.
FPT tested_rel_diff() const;Returns the failing fraction.
bool operator()(FPT left, FPT right) const;
Compares two floating point numbers a and b such that their "left" relative difference |a-b|/a and/or "right" relative difference |a-b|/b does not exceed specified relative (fraction) tolerance.
What is reported by tested_rel_diff
in case of failure depends on the comparison method:
for FPC_STRONG:
the max of the two fractions
for FPC_WEAK:
the min of the two fractions The rationale behind is to report the tolerance to set in order to make a test pass.
Parameters: |
|