MathsCustomFunctions.hpp

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*/
 
#ifndef MATHSCUSTOMFUNCTIONS_HPP_
#define MATHSCUSTOMFUNCTIONS_HPP_
 
#include <cfloat>
#include <cstddef>
 
double SmallPow(double x, unsigned exponent);
 
unsigned SmallPow(unsigned x, unsigned exponent);
 
bool Divides(double smallerNumber, double largerNumber);
 
unsigned CeilDivide(unsigned numerator, unsigned denominator);
 
double Signum(double value);
 
double SafeDivide(double numerator, double divisor);
 
unsigned AdvanceMod(unsigned index, int increment, std::size_t range) noexcept;
 
unsigned SmallDifferenceMod(unsigned idxA, unsigned idxB, std::size_t range) noexcept;
 
class CompareDoubles
{
public:
    static bool IsNearZero(double number, double tolerance);
 
    static bool WithinRelativeTolerance(double number1, double number2, double tolerance);
 
    static bool WithinAbsoluteTolerance(double number1, double number2, double tolerance);
 
    static bool WithinTolerance(double number1, double number2, double tolerance, bool toleranceIsAbsolute);
 
    static bool WithinAnyTolerance(double number1, double number2,
                                   double relTol=DBL_EPSILON, double absTol=DBL_EPSILON,
                                   bool printError=false);
 
    static double Difference(double number1, double number2, bool toleranceIsAbsolute);
};
 
#endif /*MATHSCUSTOMFUNCTIONS_HPP_*/