MathsCustomFunctions.hpp File Reference

#include <cfloat>

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Classes
class	CompareDoubles

Functions
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)

Detailed Description

This file contains some utility functions and a small class for dealing with floating point numbers.

Definition in file MathsCustomFunctions.hpp.

Function Documentation

unsigned CeilDivide	(	unsigned	numerator,
		unsigned	denominator
	)

Returns

the result of dividing (unsigned) numerator by denominator, rounded up (away from 0), and overflow-safe for large integers up to UINT_MAX.

Parameters

numerator	the numerator
denominator	the denominator

Definition at line 137 of file MathsCustomFunctions.cpp.

Referenced by Hdf5DataWriter::CalculateChunkDims(), and Hdf5DataWriter::CalculateNumberOfChunks().

bool Divides	(	double	smallerNumber,
		double	largerNumber
	)

Returns

true if the smaller number divides the larger (to machine precision) Uses fmod to determine if smallerNumber divides the largerNumber. We expect smallerNumber/largerNumber <= 1 and therefore fmod(largerNumber,smallerNumber) should be close to zero or close to smallerNumber.

Parameters

smallerNumber	the smaller
largerNumber	the larger

Definition at line 114 of file MathsCustomFunctions.cpp.

Referenced by HeartConfig::CheckTimeSteps(), SingleTraceOutputModifier::ProcessSolutionAtTimeStep(), and TimeStepper::TimeStepper().

double SafeDivide	(	double	numerator,
		double	divisor
	)

Returns

the results of dividing two non-negative floating point numbers, avoiding overflow and underflow.

Parameters

numerator	the number to be divided
divisor	the number to divide by

Definition at line 160 of file MathsCustomFunctions.cpp.

Referenced by CompareDoubles::Difference(), and CompareDoubles::WithinRelativeTolerance().

double Signum

(

double

value

)

Returns

the sign of the argument, i.e. -1 if value<0, 0 if value=0, or +1 if value>0.

Parameters

value

the argument value

Definition at line 150 of file MathsCustomFunctions.cpp.

double SmallPow	(	double	x,
		unsigned	exponent
	)

Replacement "pow" function.

Parameters

x	number to be raised to a small power
exponent	small integer exponent

Returns

x^exponent a.k.a x**exponent.

Definition at line 41 of file MathsCustomFunctions.cpp.

Referenced by SpaceConvergenceTester< CELL, CARDIAC_PROBLEM, DIM, PROBLEM_DIM >::Abscissa(), VertexCryptBoundaryForce< DIM >::AddForceContribution(), TysonNovak2001OdeSystem::AnalyticJacobian(), NhsContractionModel::CalculateT0(), CuboidMeshConstructor< ELEMENT_DIM, SPACE_DIM >::Construct(), AbstractConvergenceTester< CELL, CARDIAC_PROBLEM, DIM, PROBLEM_DIM >::Converge(), CylindricalHoneycombMeshGenerator::CylindricalHoneycombMeshGenerator(), AbstractConvergenceTester< CELL, CARDIAC_PROBLEM, DIM, PROBLEM_DIM >::DisplayRun(), TysonNovak2001OdeSystem::EvaluateYDerivatives(), NhsContractionModel::EvaluateYDerivatives(), PseudoEcgCalculator< ELEMENT_DIM, SPACE_DIM, PROBLEM_DIM >::GetIntegrand(), VertexMesh< ELEMENT_DIM, SPACE_DIM >::GetLocalIndexForElementEdgeClosestToPoint(), SpaceConvergenceTester< CELL, CARDIAC_PROBLEM, DIM, PROBLEM_DIM >::GetSpaceStep(), HoneycombMeshGenerator::HoneycombMeshGenerator(), NhsContractionModel::NhsContractionModel(), NodeBasedCellPopulation< DIM >::NonBlockingSendCellsToNeighbourProcesses(), SmallPow(), VanLeeuwen2009WntSwatCellCycleOdeSystem::VanLeeuwen2009WntSwatCellCycleOdeSystem(), and StreeterFibreGenerator< SPACE_DIM >::Visit().

unsigned SmallPow	(	unsigned	x,
		unsigned	exponent
	)

Replacement "pow" function for unsigned integer values

Parameters

x	number to be raised to a small power
exponent	small integer exponent

Returns

x^exponent a.k.a x**exponent.

Definition at line 77 of file MathsCustomFunctions.cpp.

References SmallPow().