polynomial_utilities.h File Reference

#include <array>
#include <vector>
#include "includes/kratos_export_api.h"

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Namespaces
	Kratos
	REF: G. R. Cowper, GAUSSIAN QUADRATURE FORMULAS FOR TRIANGLES.
	Kratos::PolynomialUtilities

Typedefs
using	Kratos::PolynomialUtilities::PolynomialType = std::vector< double >
using	Kratos::PolynomialUtilities::IntervalType = std::array< double, 2 >

Functions
std::size_t	Kratos::PolynomialUtilities::Degree (const PolynomialType &rPolynomial)
double	Kratos::PolynomialUtilities::Evaluate (const PolynomialType &rPolynomial, double x)
PolynomialType	Kratos::PolynomialUtilities::Differentiate (const PolynomialType &rPolynomial)
PolynomialType	Kratos::PolynomialUtilities::Multiply (const PolynomialType &rA, const PolynomialType &rB)
void	Kratos::PolynomialUtilities::Divide (PolynomialType &rQuotient, PolynomialType &rRemainder, const PolynomialType &rA, const PolynomialType &rB)
void	Kratos::PolynomialUtilities::IsolateRoots (std::vector< IntervalType > &rRootIntervals, const PolynomialType &rPolynomial, const IntervalType &rRange)
	Define disjoint subintervals of rRange, each containing a single root of rPolynomial. More...
double	Kratos::PolynomialUtilities::FindRoot (const PolynomialType &rPolynomial, const IntervalType &rRange)
	Find a root of rPolynomial within the interval defined by rRange. More...