MathsCustomFunctions.hpp

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#ifndef MATHSCUSTOMFUNCTIONS_HPP_
#define MATHSCUSTOMFUNCTIONS_HPP_

#include <cfloat>

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);

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_*/