#include "Marmot/MarmotMath.h"
#include "Marmot/MarmotTypedefs.h"
#include <functional>

Include dependency graph for MarmotNumericalDifferentiation.h:

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Namespaces
	Marmot
	This file includes functions needed for calculations with stress and strain tensors written in voigt notation.

	Marmot::NumericalAlgorithms

	Marmot::NumericalAlgorithms::Differentiation

	Marmot::NumericalAlgorithms::Differentiation::Complex

Typedefs
using	Marmot::NumericalAlgorithms::Differentiation::scalar_to_scalar_function_type = std::function< double(const double x) >

using	Marmot::NumericalAlgorithms::Differentiation::vector_to_vector_function_type = std::function< Eigen::VectorXd(const Eigen::VectorXd &X) >

using	Marmot::NumericalAlgorithms::Differentiation::Complex::scalar_to_scalar_function_type = std::function< complexDouble(const complexDouble x) >

using	Marmot::NumericalAlgorithms::Differentiation::Complex::vector_to_vector_function_type = std::function< Eigen::VectorXcd(const Eigen::VectorXcd &X) >

Functions
double	Marmot::NumericalAlgorithms::Differentiation::forwardDifference (const scalar_to_scalar_function_type &f, const double x)

double	Marmot::NumericalAlgorithms::Differentiation::centralDifference (const scalar_to_scalar_function_type &f, const double x)

Eigen::MatrixXd	Marmot::NumericalAlgorithms::Differentiation::forwardDifference (const vector_to_vector_function_type &F, const Eigen::VectorXd &X)

Eigen::MatrixXd	Marmot::NumericalAlgorithms::Differentiation::centralDifference (const vector_to_vector_function_type &F, const Eigen::VectorXd &X)

double	Marmot::NumericalAlgorithms::Differentiation::Complex::forwardDifference (const scalar_to_scalar_function_type &f, const double x)

std::tuple< Eigen::VectorXd, Eigen::MatrixXd >	Marmot::NumericalAlgorithms::Differentiation::Complex::forwardDifference (const vector_to_vector_function_type &F, const Eigen::VectorXd &X)

Eigen::MatrixXd	Marmot::NumericalAlgorithms::Differentiation::Complex::centralDifference (const vector_to_vector_function_type &F, const Eigen::VectorXd &X)

Eigen::MatrixXd	Marmot::NumericalAlgorithms::Differentiation::Complex::fourthOrderAccurateDerivative (const vector_to_vector_function_type &F, const Eigen::VectorXd &X)

Variables
static const std::complex< double >	Marmot::NumericalAlgorithms::Differentiation::Complex::imaginaryUnit = { 0, 1 }

static const std::complex< double >	Marmot::NumericalAlgorithms::Differentiation::Complex::complexUnit = { 1, 1 }

static const std::complex< double >	Marmot::NumericalAlgorithms::Differentiation::Complex::i_ = Marmot::Constants::sqrt2 / 2. * complexUnit

Namespaces

Typedefs