MathsCustomFunctions.hpp

Go to the documentation of this file.

/*

Copyright (c) 2005-2017, University of Oxford.
All rights reserved.

University of Oxford means the Chancellor, Masters and Scholars of the
University of Oxford, having an administrative office at Wellington
Square, Oxford OX1 2JD, UK.

This file is part of Chaste.

Redistribution and use in source and binary forms, with or without
modification, are permitted provided that the following conditions are met:
 * Redistributions of source code must retain the above copyright notice,
   this list of conditions and the following disclaimer.
 * Redistributions in binary form must reproduce the above copyright notice,
   this list of conditions and the following disclaimer in the documentation
   and/or other materials provided with the distribution.
 * Neither the name of the University of Oxford nor the names of its
   contributors may be used to endorse or promote products derived from this
   software without specific prior written permission.

THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE
LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE
GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT
OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.

*/

#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_*/