Interpolation.hpp File Reference

Interpolation between two GridVec s of (different) arbitrary size. More...

#include "MultiIndex.hpp"

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Functions
template<typename T>
int	CellToCoordinates (MultiIndex &cell, Array< int > &size, Array< int > &type, Array< T > &x)
	Calculates the coordinates of the "left lower" corner of a cell.
template<typename T>
int	Interpolate (GridVec< T > &gridVec, Array< Array< int > > &types, Array< T > &coord, Array< T > &val)
	Interpolates the vector of grids gridVec at point coord and yields vector val.
template<typename T>
int	Interpolate (GridVec< T > &gridVec, Array< int > &type, Array< T > &coord, T &val)
template<typename T>
int	Interpolate (MultiVector< T > &grid, Array< int > &type, Array< T > &x, T &val)
	Interpolates the grid at a point coord and yields scalar val.
template<typename T>
int	CoordinatesToCell (Array< T > &x, Array< int > &size, Array< int > &type, MultiIndex &cell)
	Finds the cell in which x lies.

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Detailed Description

Interpolation between two GridVec s of (different) arbitrary size.

Note:

About the "type" of a grid -1... 2^(n+1)-1 points = 1, 3, 7, 15, 31,... 0... 2^n points = 1, 2, 4, 8, 16,... +1... 2^n+1 points = 2, 3, 5, 9, 17,...

Date:

created 26. 2. 2005

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Function Documentation

template<typename T>

int CellToCoordinates	(	MultiIndex &	cell,
		Array< int > &	size,
		Array< int > &	type,
		Array< T > &	x
	)			[inline]

Calculates the coordinates of the "left lower" corner of a cell.

template<typename T>

int CoordinatesToCell	(	Array< T > &	x,
		Array< int > &	size,
		Array< int > &	type,
		MultiIndex &	cell
	)			[inline]

Finds the cell in which x lies.

template<typename T>

int Interpolate	(	MultiVector< T > &	grid,
		Array< int > &	type,
		Array< T > &	x,
		T &	val
	)			[inline]

Interpolates the grid at a point coord and yields scalar val.

condition:
dimension of grid is equal to dimension of type and dimension of coord

template<typename T>

int Interpolate	(	GridVec< T > &	gridVec,
		Array< int > &	type,
		Array< T > &	coord,
		T &	val
	)			[inline]

template<typename T>

int Interpolate	(	GridVec< T > &	gridVec,
		Array< Array< int > > &	types,
		Array< T > &	coord,
		Array< T > &	val
	)			[inline]

Interpolates the vector of grids gridVec at point coord and yields vector val.

conditions:

1. size of system is equal to size of types and size of val
2. dimension of grids is equal to dimension of types and dimension of coord

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