MathTL::SampledMapping< 2, C > Class Template Reference

Inheritance diagram for MathTL::SampledMapping< 2, C >:

List of all members.

Public Member Functions
	SampledMapping ()
	SampledMapping (const SampledMapping< 2, C > &sm)
	SampledMapping (const Grid< 2 > &grid)
	SampledMapping (const Grid< 2 > &grid, const Matrix< C > &values)
	SampledMapping (const Grid< 2 > &grid, const Function< 2, C > &f)
	SampledMapping (const Grid< 2 > &grid, Function< 1, C > &f)
	SampledMapping (const MultiIndex< int, 2 > &a, const MultiIndex< int, 2 > &b, const InfiniteVector< C, MultiIndex< int, 2 > > &values, const int resolution)
	SampledMapping (const Point< 2, C > &a, const Point< 2, C > &b, const FixedArray1D< Array1D< C >, 2 > &values)
	SampledMapping (const Chart< 2 > &ch, const FixedArray1D< Array1D< C >, 2 > &values, const unsigned int resolution)
	SampledMapping (const Chart< 2 > &ch, const unsigned int resolution)
SampledMapping< 2, C > &	operator= (const SampledMapping< 2, C > &sm)
void	add (const SampledMapping< 2, C > &s)
void	add (const C alpha, const SampledMapping< 2, C > &s)
void	mult (const C alpha)
const Matrix< C > &	values () const
void	matlab_output (std::ostream &os) const
void	gnuplot_output (std::ostream &os) const
void	octave_output (std::ostream &os) const
Protected Attributes
Matrix< C >	values_

template<class C>
class MathTL::SampledMapping< 2, C >

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Constructor & Destructor Documentation

template<class C >

MathTL::SampledMapping< 2, C >::SampledMapping

(

)

default constructor, yields empty mapping

template<class C >

MathTL::SampledMapping< 2, C >::SampledMapping

(

const SampledMapping< 2, C > &

sm

)

copy constructor

template<class C >

MathTL::SampledMapping< 2, C >::SampledMapping

(

const Grid< 2 > &

grid

)

constructor from a given grid, yields zero function

template<class C >

MathTL::SampledMapping< 2, C >::SampledMapping	(	const Grid< 2 > &	grid,
		const Matrix< C > &	values
	)

constructor from a given grid and given values (columns of the matrix correspond to the x grid)

template<class C >

MathTL::SampledMapping< 2, C >::SampledMapping	(	const Grid< 2 > &	grid,
		const Function< 2, C > &	f
	)

constructor from a fixed grid and a Function object

template<class C >

MathTL::SampledMapping< 2, C >::SampledMapping	(	const Grid< 2 > &	grid,
		Function< 1, C > &	f
	)

constructor from a fixed grid and a Function object, here we take the time variable as y-axis (note that the parameter f is not const due to the set_time() calls)

template<class C >

MathTL::SampledMapping< 2, C >::SampledMapping	(	const MultiIndex< int, 2 > &	a,
		const MultiIndex< int, 2 > &	b,
		const InfiniteVector< C, MultiIndex< int, 2 > > &	values,
		const int	resolution
	)

constructor from given values on 2^{-resolution} Z^2, clipped to [a,b]^2 (CURRENTLY NOT IMPLEMENTED!)

template<class C >

MathTL::SampledMapping< 2, C >::SampledMapping	(	const Point< 2, C > &	a,
		const Point< 2, C > &	b,
		const FixedArray1D< Array1D< C >, 2 > &	values
	)

constructor from given tensor product values on a uniform subgrid of the cuboid <a,b>, a,b integer vectors, the number of grid points in the i-th direction is taken from the length of the i-th component array of 'values'

template<class C >

MathTL::SampledMapping< 2, C >::SampledMapping	(	const Chart< 2 > &	ch,
		const FixedArray1D< Array1D< C >, 2 > &	values,
		const unsigned int	resolution
	)

a dyadic subgrid of the hypercube is mapped by a chart 'ch'. so we end up with a dyadic subgrid of a mapped hypercube. 'values' are the corresponding function values.

template<class C >

MathTL::SampledMapping< 2, C >::SampledMapping	(	const Chart< 2 > &	ch,
		const unsigned int	resolution
	)

a dyadic subgrid of the hypercube is mapped by a chart 'ch'. so we end up with a dyadic subgrid of a mapped hypercube. the function values are initialized with zero.

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Member Function Documentation

template<class C >

void MathTL::SampledMapping< 2, C >::add

(

const SampledMapping< 2, C > &

s

)

pointwise in-place summation *this += s of two sampled mappings over the same grid

template<class C >

void MathTL::SampledMapping< 2, C >::add	(	const C	alpha,
		const SampledMapping< 2, C > &	s
	)

pointwise in-place summation *this += alpha * s of two sampled mappings over the same grid

template<class C >

void MathTL::SampledMapping< 2, C >::gnuplot_output

(

std::ostream &

os

)

const

Matlab output of the sampled mapping onto a stream

template<class C >

void MathTL::SampledMapping< 2, C >::matlab_output

(

std::ostream &

os

)

const

Matlab output of the sampled mapping onto a stream

Reimplemented from MathTL::Grid< 2 >.

template<class C >

void MathTL::SampledMapping< 2, C >::mult

(

const C

alpha

)

pointwise in-place multiplication *this *= alpha

template<class C >

void MathTL::SampledMapping< 2, C >::octave_output

(

std::ostream &

os

)

const

Octave-compatible output of the sampled mapping onto a stream

Reimplemented from MathTL::Grid< 2 >.

template<class C >

SampledMapping< 2, C > & MathTL::SampledMapping< 2, C >::operator=

(

const SampledMapping< 2, C > &

sm

)

assignment operator

template<class C >

const Matrix<C>& MathTL::SampledMapping< 2, C >::values

(

)

const [inline]

reading access to the function values

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Member Data Documentation

template<class C >

Matrix<C> MathTL::SampledMapping< 2, C >::values_ [protected]

internal storage for the function values

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

• geometry/sampled_mapping.h
• geometry/sampled_mapping.cpp