MathTL::AffineLinearMapping< DIM > Class Template Reference

#include <chart.h>

Inheritance diagram for MathTL::AffineLinearMapping< DIM >:

List of all members.

Public Member Functions
	AffineLinearMapping ()
	default constructor, yields the identity mapping
	AffineLinearMapping (const Matrix< double > &A, const Point< DIM > &b)
	constructor from A and b (dimensions should fit)
void	map_point (const Point< DIM > &, Point< DIM > &) const
double	map_point (const double, const int) const
void	map_point_inv (const Point< DIM > &, Point< DIM > &) const
double	map_point_inv (const double, const int) const
const double	Gram_factor (const Point< DIM > &) const
const double	Gram_D_factor (const unsigned int i, const Point< DIM > &x) const
const double	Dkappa_inv (const unsigned int i, const unsigned int j, const Point< DIM > &x) const
const bool	in_patch (const Point< DIM > &x) const
const double	a_i (const int i) const
const string	to_string () const
const Matrix< double > &	A () const
	read access to A
const Point< DIM > &	b () const
	read access to b
Static Public Attributes
static const string	className = "AffineLinearMapping"
Protected Attributes
Matrix< double >	A_
Matrix< double >	A_inv
double	det_A
double	square_root_of_abs_det_A
Point< DIM >	b_

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Detailed Description

template<unsigned int DIM>
class MathTL::AffineLinearMapping< DIM >

affine linear mapping y = A*x+b

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Member Function Documentation

template<unsigned int DIM>

const double MathTL::AffineLinearMapping< DIM >::a_i

(

const int

i

)

const [inline, virtual]

return the i-th diagonal element in the case of kappa not depending on x TODO: shift this virtual method into a subclass of Chart

Implements MathTL::Chart< DIM, DIM >.

template<unsigned int DIM>

double MathTL::AffineLinearMapping< DIM >::map_point	(	const double	,
		const int
	)		const [inline, virtual]

special 1D version TODO: remove this member in this generic branch!

Implements MathTL::Chart< DIM, DIM >.

template<unsigned int DIM>

double MathTL::AffineLinearMapping< DIM >::map_point_inv	(	const double	,
		const int
	)		const [inline, virtual]

special 1D version TODO: remove this member in this generic branch!

Implements MathTL::Chart< DIM, DIM >.

template<unsigned int DIM>

const string MathTL::AffineLinearMapping< DIM >::to_string

(

)

const [virtual]

returns a string representation of this object

Implements MathTL::Chart< DIM, DIM >.

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Member Data Documentation

template<unsigned int DIM>

const string MathTL::AffineLinearMapping< DIM >::className = "AffineLinearMapping" [static]

static field to store the name of the class

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

• geometry/chart.h
• geometry/chart.cpp