MathsCustomFunctions.hpp

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00001 /*
00002 
00003 Copyright (C) University of Oxford, 2005-2011
00004 
00005 University of Oxford means the Chancellor, Masters and Scholars of the
00006 University of Oxford, having an administrative office at Wellington
00007 Square, Oxford OX1 2JD, UK.
00008 
00009 This file is part of Chaste.
00010 
00011 Chaste is free software: you can redistribute it and/or modify it
00012 under the terms of the GNU Lesser General Public License as published
00013 by the Free Software Foundation, either version 2.1 of the License, or
00014 (at your option) any later version.
00015 
00016 Chaste is distributed in the hope that it will be useful, but WITHOUT
00017 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
00018 FITNESS FOR A PARTICULAR PURPOSE.  See the GNU Lesser General Public
00019 License for more details. The offer of Chaste under the terms of the
00020 License is subject to the License being interpreted in accordance with
00021 English Law and subject to any action against the University of Oxford
00022 being under the jurisdiction of the English Courts.
00023 
00024 You should have received a copy of the GNU Lesser General Public License
00025 along with Chaste. If not, see <http://www.gnu.org/licenses/>.
00026 
00027 */
00028 
00029 #ifndef MATHSCUSTOMFUNCTIONS_HPP_
00030 #define MATHSCUSTOMFUNCTIONS_HPP_
00031 
00032 #include <cfloat>
00033 
00047 double SmallPow(double x, unsigned exponent);
00048 
00057 bool Divides(double smallerNumber, double largerNumber);
00058 
00063 class CompareDoubles
00064 {
00065 public:
00073     static bool IsNearZero(double number, double tolerance);
00074 
00082     static bool WithinRelativeTolerance(double number1, double number2, double tolerance);
00083 
00092     static bool WithinAbsoluteTolerance(double number1, double number2, double tolerance);
00093 
00103     static bool WithinTolerance(double number1, double number2, double tolerance, bool toleranceIsAbsolute);
00104 
00115     static bool WithinAnyTolerance(double number1, double number2,
00116                                    double relTol=DBL_EPSILON, double absTol=DBL_EPSILON,
00117                                    bool printError=false);
00118 
00126     static double Difference(double number1, double number2, bool toleranceIsAbsolute);
00127 };
00128 
00129 #endif /*MATHSCUSTOMFUNCTIONS_HPP_*/
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