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

#include <sampled_mapping.h>

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

List of all members.

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

---

Detailed Description

template<unsigned int DIM, class C = double>
class MathTL::SampledMapping< DIM, C >

Abstract base class for a mapping from R^n to R, represented by finite many samples on a rectangular grid (Matlab style). Meaningful values for n are n=1 and n=2 so far (see specializations).

---

Constructor & Destructor Documentation

template<unsigned int DIM, class C = double>

MathTL::SampledMapping< DIM, C >::SampledMapping

(

)

[inline]

default constructor, yields empty mapping

template<unsigned int DIM, class C = double>

MathTL::SampledMapping< DIM, C >::SampledMapping

(

const SampledMapping< DIM > &

sm

)

copy constructor

template<unsigned int DIM, class C = double>

MathTL::SampledMapping< DIM, C >::SampledMapping

(

const Grid< DIM > &

grid

)

constructor from a given grid, yields zero function

template<unsigned int DIM, class C = double>

MathTL::SampledMapping< DIM, C >::SampledMapping	(	const Grid< DIM > &	grid,
		const Array1D< C > &	values
	)

constructor from a given grid and given values

template<unsigned int DIM, class C = double>

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

constructor from a fixed grid and a Function object

template<unsigned int DIM, class C = double>

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

constructor from given values on 2^{-resolution} Z^d, clipped to the cuboid <a,b> in Z^d

template<unsigned int DIM, class C = double>

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

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

template<unsigned int DIM, class C = double>

MathTL::SampledMapping< DIM, C >::SampledMapping	(	const Chart< DIM > &	ch,
		const FixedArray1D< Array1D< C >, DIM > &	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<unsigned int DIM, class C = double>

MathTL::SampledMapping< DIM, C >::SampledMapping	(	const Chart< DIM > &	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.

---

Member Function Documentation

template<unsigned int DIM, class C = double>

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

(

const SampledMapping< DIM, C > &

s

)

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

template<unsigned int DIM, class C = double>

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

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

template<unsigned int DIM, class C = double>

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

(

std::ostream &

os

)

const

Matlab output of the sampled mapping onto a stream

Reimplemented from MathTL::Grid< DIM >.

template<unsigned int DIM, class C = double>

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

(

const C

alpha

)

pointwise in-place multiplication *this *= alpha

template<unsigned int DIM, class C = double>

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

(

const SampledMapping< DIM, C > &

sm

)

assignment operator

---

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

• geometry/sampled_mapping.h