utilities.h

// SPDX-FileCopyrightText: 2023 Carl Zeiss Microscopy GmbH
//
// SPDX-License-Identifier: MIT
 
#pragma once
 
#include <cmath>
 
namespace imgdoc2
{
    template <typename t>
    inline bool approximatelyEqual(t a, t b, t epsilon)
    {
        return std::fabs(a - b) <= ((std::fabs(a) < std::fabs(b) ? std::fabs(b) : std::fabs(a)) * epsilon);
    }
 
    template <typename t>
    inline bool essentiallyEqual(t a, t b, t epsilon)
    {
        return std::fabs(a - b) <= ((std::fabs(a) > std::fabs(b) ? std::fabs(b) : std::fabs(a)) * epsilon);
    }
 
    template <typename t>
    inline bool definitelyGreaterThan(t a, t b, t epsilon)
    {
        return (a - b) > ((std::fabs(a) < std::fabs(b) ? std::fabs(b) : std::fabs(a)) * epsilon);
    }
 
    template <typename t>
    inline bool definitelyLessThan(t a, t b, t epsilon)
    {
        return (b - a) > ((std::fabs(a) < std::fabs(b) ? std::fabs(b) : std::fabs(a)) * epsilon);
    }
 
}