Tensor module

Detailed Description

This module is responsible for dimension-independent operations on tensor structures and tensor-product bases.

Classes
class	gsGenericTensorBasis< d, T >
	Class for a quasi-tensor B-spline basis. More...
class	gsGridIterator< T, CWISE, d, false >
	Iterator over a Cartesian product of points, which is given by coordinate-wise point sets. More...
class	gsGridIterator< T, mode, d, false >
	Iterator over a Cartesian product of uniformly distributed numeric points inside a (hyper-)cube. More...
class	gsGridIterator< Z, mode, d, true >
	Iterator over the Cartesian product of integer points in a tensor-product grid. More...
class	gsTensorBasis< d, T >
	Abstract base class for tensor product bases. More...
class	gsTensorDomainBoundaryIterator< T, D, uiter >
	Re-implements gsDomainIterator for iteration over all elements of the boundary of a tensor product parameter domain. See gsDomainIterator for more detailed documentation and an example of the typical use!!! More...
class	gsTensorDomainIterator< T, D >
	Re-implements gsDomainIterator for iteration over all elements of a tensor product parameter domain. See gsDomainIterator for more detailed documentation and an example of the typical use!!! More...

Functions
template<typename T , int d>
void	flipTensorVector (const int dir, const gsVector< index_t, d > &sz, gsMatrix< T > &coefs)
	Flips tensor directions in place.
template<typename T , int d>
void	permuteTensorVector (const gsVector< index_t, d > &perm, gsVector< index_t, d > &sz, gsMatrix< T > &coefs)
template<typename T , int d>
void	swapTensorDirection (int k1, int k2, gsVector< index_t, d > &sz, gsMatrix< T > &coefs)
template<short_t d, typename T >
void	tensorCombineTransferMatrices (gsSparseMatrix< T, RowMajor > B[d], gsSparseMatrix< T, RowMajor > &transfer)
	Combine component-wise transfer matrices into a transfer matrix for the tensor product basis. More...

Function Documentation

void gismo::permuteTensorVector	(	const gsVector< index_t, d > &	perm,
		gsVector< index_t, d > &	sz,
		gsMatrix< T > &	coefs
	)

Reorders (inplace) the given tensor coefs vector (regarded as a sz.prod() x d matrix arranged as a flattened sz tensor, so that the rows are re-arranged according to the input permutation perm. The sz is updated to the new ordering.

void gismo::swapTensorDirection	(	int	k1,
		int	k2,
		gsVector< index_t, d > &	sz,
		gsMatrix< T > &	coefs
	)

Reorders (inplace) the given tensor coefs vector (regarded as a sz.prod() x d matrix arranged as a flattened sz tensor, so that the rows are re-arranged so that k1 and k2 are swapped permutation perm. The sz is updated to the new ordering.

void gismo::tensorCombineTransferMatrices	(	gsSparseMatrix< T, RowMajor >	B[d],
		gsSparseMatrix< T, RowMajor > &	transfer
	)

Combine component-wise transfer matrices into a transfer matrix for the tensor product basis.

Given some kind of transformation (e.g., knot insertion/refinement) which transforms each component basis separately, this function computes a joint transfer matrix transfer which describes the transfer on the whole tensor product basis.

The component transformations are allowed to change the size of the basis.