Class allowing mapping Cartesian coordinates to barycentric coordinates. More...

#include <arcane/core/GeometricUtilities.h>

Collaboration diagram for Arcane::GeometricUtilities::QuadMapping:

Public Member Functions
Real3	evaluatePosition (Real3 iso) const
	Calculates Cartesian coordinates from iso-barycentric coordinates.
Real3x3	evaluateGradient (Real3 iso) const
Real	computeInverseJacobian (Real3 uvw, Real3x3 &matrix)
bool	cartesianToIso (Real3 point, Real3 &uvw, ITraceMng *tm)
	Converts a Cartesian coordinate to an iso-parametric coordinate.
bool	cartesianToIso2 (Real3 point, Real3 &uvw, ITraceMng *tm)
	Converts a Cartesian coordinate to an iso-parametric coordinate.
Real3	normal ()

Public Attributes
Real3	m_pos [4]
Real	m_precision = 1.0e-14

Private Member Functions
Real3	_normal ()

Detailed Description

Class allowing mapping Cartesian coordinates to barycentric coordinates.

Barycentric coordinates are between -1.0 and 1.0.

Definition at line 40 of file GeometricUtilities.h.

Member Function Documentation

◆ _normal()

Real3 Arcane::GeometricUtilities::QuadMapping::_normal ( )

private

Definition at line 145 of file GeometricUtilities.cc.

◆ cartesianToIso()

bool Arcane::GeometricUtilities::QuadMapping::cartesianToIso	(	Real3	point,
		Real3 &	uvw,
		ITraceMng *	tm )

Converts a Cartesian coordinate to an iso-parametric coordinate.

This operation uses Newton's method to find the solution and may therefore fail to converge. In this case, it returns true.

Parameters

point	Cartesian coordinate position of the point to be calculated.
uvw	returned, calculated iso-parametric coordinates

Definition at line 78 of file GeometricUtilities.cc.

References evaluatePosition(), Arcane::ITraceMng::info(), Arcane::Real3POD::x, Arcane::Real3x3::x, Arcane::Real3POD::y, Arcane::Real3x3::y, Arcane::Real3POD::z, and Arcane::Real3x3::z.

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◆ cartesianToIso2()

bool Arcane::GeometricUtilities::QuadMapping::cartesianToIso2	(	Real3	point,
		Real3 &	uvw,
		ITraceMng *	tm )

Converts a Cartesian coordinate to an iso-parametric coordinate.

This operation uses Newton's method to find the solution and may therefore fail to converge. In this case, it returns true.

Parameters

point	Cartesian coordinate position of the point to be calculated.
uvw	returned, calculated iso-parametric coordinates

Definition at line 169 of file GeometricUtilities.cc.

References Arcane::ITraceMng::info(), Arcane::Real3POD::x, Arcane::Real3POD::y, and Arcane::Real3POD::z.

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◆ computeInverseJacobian()

Real Arcane::GeometricUtilities::QuadMapping::computeInverseJacobian	(	Real3	uvw,
		Real3x3 &	matrix )

Definition at line 29 of file GeometricUtilities.cc.

◆ evaluateGradient()

Real3x3 Arcane::GeometricUtilities::QuadMapping::evaluateGradient ( Real3 iso ) const

inline

Definition at line 66 of file GeometricUtilities.h.

◆ evaluatePosition()

Real3 Arcane::GeometricUtilities::QuadMapping::evaluatePosition ( Real3 iso ) const

inline

Calculates Cartesian coordinates from iso-barycentric coordinates.

Definition at line 54 of file GeometricUtilities.h.

References Arcane::Real3POD::x, and Arcane::Real3POD::y.

Referenced by cartesianToIso().

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◆ normal()

Real3 Arcane::GeometricUtilities::QuadMapping::normal ( )

Definition at line 124 of file GeometricUtilities.cc.

Member Data Documentation

◆ m_pos

Real3 Arcane::GeometricUtilities::QuadMapping::m_pos[4]

Definition at line 48 of file GeometricUtilities.h.

◆ m_precision

Real Arcane::GeometricUtilities::QuadMapping::m_precision = 1.0e-14

Definition at line 49 of file GeometricUtilities.h.

The documentation for this class was generated from the following files:

Public Member Functions

Public Attributes

Private Member Functions