Implementation of sparse matrices. More...

#include "matpackII.h"
#include <Eigen/Core>
#include <algorithm>
#include <cmath>
#include <iostream>
#include <iterator>
#include <set>

Functions
std::ostream &	operator<< (std::ostream &os, const Sparse &M)
	Output operator for Sparse. More...

void	abs (Sparse &A, const Sparse &B)
	Absolute value of sparse matrix elements. More...

void	mult (VectorView y, const Sparse &M, ConstVectorView x)
	Sparse matrix - Vector multiplication. More...

void	transpose_mult (VectorView y, const Sparse &M, ConstVectorView x)
	Sparse matrix - Vector multiplication. More...

void	mult (MatrixView A, const Sparse &B, const ConstMatrixView &C)
	SparseMatrix - Matrix multiplication. More...

void	mult (MatrixView A, const ConstMatrixView &B, const Sparse &C)
	Matrix - SparseMatrix multiplication. More...

void	transpose (Sparse &A, const Sparse &B)
	Transpose of sparse matrix. More...

void	mult (Sparse &A, const Sparse &B, const Sparse &C)
	Sparse - Sparse multiplication. More...

void	add (Sparse &A, const Sparse &B, const Sparse &C)
	Sparse - Sparse addition. More...

void	id_mat (Sparse &A)
	Sparse identity matrix. More...

void	sub (Sparse &A, const Sparse &B, const Sparse &C)
	Sparse - Sparse subtraction. More...

Detailed Description

Implementation of sparse matrices.

Author: Stefan Buehler sbueh.nosp@m.ler@.nosp@m.ltu.s.nosp@m.e; Mattias Ekstroem; Oliver Lemke; Simon Pfreundschuh simon.nosp@m.pf@c.nosp@m.halme.nosp@m.rs.s.nosp@m.e (Eigen interface)

Date: Wed Jan 06 10:17:15 2016

Notes:

There are two different ways to index: S.rw(3,4) = 1; // Read and write cout << S.ro(3,4); // Read only

This distinction is necessary, because rw() creates elements if they don't already exist.

The normal index operator "()" correspondes to ro, so "S(3,4)" is the same as S.ro(3,4).

Definition in file matpackII.cc.

Function Documentation

◆ abs()

void abs	(	Sparse &	A,
		const Sparse &	B
	)

Absolute value of sparse matrix elements.

Computes the absolute values of the elements in sparse matrix B.

The output matrix A must have been initialized with the correct size.

Parameters

A	Output: Absolute value matrix.
B	Original matrix.

Author: Mattias Ekstrom

Date: 2005-03-21

Definition at line 394 of file matpackII.cc.

References Sparse::matrix, Sparse::ncols(), and Sparse::nrows().

◆ add()

void add	(	Sparse &	A,
		const Sparse &	B,
		const Sparse &	C
	)

Sparse - Sparse addition.

Calculates A = B+C, where result A is sparse, and B and C are also sparse.

Output comes first!

Dimensions of B, and C must match. A will be resized.

Parameters

A	Output: Result matrix.
B	First summand matrix.
C	Second summand matrix.

Author: Oliver Lemke

Date: 2009-09-03

Definition at line 630 of file matpackII.cc.

References Sparse::matrix, Sparse::ncols(), Sparse::nrows(), and Sparse::resize().

Referenced by test49(), and test_sparse_arithmetic().

◆ id_mat()

void id_mat ( Sparse & A )

Sparse identity matrix.

Set the given Sparse matrix object to the identity matrix. The matrix must be square.

Parameters

A	The matrix to be set to the identity matrix.

Definition at line 647 of file matpackII.cc.

References Sparse::matrix, Sparse::ncols(), and Sparse::nrows().

◆ mult() [1/4]

void mult	(	MatrixView	A,
		const ConstMatrixView &	B,
		const Sparse &	C
	)

Matrix - SparseMatrix multiplication.

Calculates the matrix product:

A = B*C, where C is sparse.

Output comes first!

Dimensions of A, B, and C must match. No memory reallocation takes place, only the data is copied.

Parameters

A	Output: Result matrix (full).
B	First matrix to multiply (sparse).
C	Second matrix to multiply (full).

Author: Stefan Buehler sbueh.nosp@m.ler@.nosp@m.ltu.s.nosp@m.e

Date: Tue Jul 15 15:05:40 2003

Definition at line 539 of file matpackII.cc.

References ConstMatrixView::ncols(), Sparse::ncols(), ConstMatrixView::nrows(), and Sparse::nrows().

◆ mult() [2/4]

void mult	(	MatrixView	A,
		const Sparse &	B,
		const ConstMatrixView &	C
	)

SparseMatrix - Matrix multiplication.

Calculates the matrix product:

A = B*C, where B is sparse.

Output comes first!

Dimensions of A, B, and C must match. No memory reallocation takes place, only the data is copied.

Parameters

A	Output: Result matrix (full).
B	First matrix to multiply (sparse).
C	Second matrix to multiply (full).

Author: Stefan Buehler sbueh.nosp@m.ler@.nosp@m.ltu.s.nosp@m.e

Date: Tue Jul 15 15:05:40 2003

Definition at line 490 of file matpackII.cc.

References data, Range::get_start(), Range::get_stride(), Sparse::matrix, ConstMatrixView::mcr, ConstMatrixView::mdata, ConstMatrixView::mrr, ConstMatrixView::ncols(), Sparse::ncols(), ConstMatrixView::nrows(), and Sparse::nrows().

◆ mult() [3/4]

void mult	(	Sparse &	A,
		const Sparse &	B,
		const Sparse &	C
	)

Sparse - Sparse multiplication.

Calculates A = B*C, where result A is sparse, and B and C are also sparse.

Output comes first!

Dimensions of A, B, and C must match. No memory reallocation takes place, only the data is copied.

Parameters

A	Output: Result matrix.
B	First product matrix.
C	Second product matrix.

Author: Mattias Ekstroem

Date: 2003-08-06

Definition at line 606 of file matpackII.cc.

References Sparse::matrix, Sparse::ncols(), and Sparse::nrows().

◆ mult() [4/4]

void mult	(	VectorView	y,
		const Sparse &	M,
		ConstVectorView	x
	)

Sparse matrix - Vector multiplication.

This calculates the product

y = M*x, where M is sparse.

Output comes first!

Dimensions of y, M, and x must match. No memory reallocation takes place, only the data is copied.

Parameters

y	Output: The multiplication result.
M	Matrix for multiplication (sparse).
x	Vector for multiplication.

Definition at line 417 of file matpackII.cc.

References data, M, ARTS::Var::x(), and ARTS::Var::y().

◆ operator<<()

std::ostream& operator<<	(	std::ostream &	os,
		const Sparse &	M
	)

Output operator for Sparse.

Parameters

os	Output stream.
v	Sparse matrix to print.

Returns: Output stream.

Definition at line 375 of file matpackII.cc.

References M.

◆ sub()

void sub	(	Sparse &	A,
		const Sparse &	B,
		const Sparse &	C
	)

Sparse - Sparse subtraction.

Calculates A = B-C, where result A is sparse, and B and C are also sparse.

Output comes first!

Dimensions of B, and C must match. A will be resized.

Parameters

A	Output: Result matrix.
B	First subtrahend matrix.
C	Second subtrahend matrix.

Author: Oliver Lemke

Date: 2009-09-03

Definition at line 667 of file matpackII.cc.

References Sparse::matrix, Sparse::ncols(), Sparse::nrows(), and Sparse::resize().

Referenced by sensor_responseBackendFrequencySwitching(), test49(), and test_sparse_arithmetic().

◆ transpose()

void transpose	(	Sparse &	A,
		const Sparse &	B
	)

Transpose of sparse matrix.

Computes the transpose of the sparse matrix B.

The output matrix A must have been initialized with the correct size.

Parameters

A	Output: Transposed matrix.
B	Original matrix.

Author: Mattias Ekstroem

Date: 2003-08-05

Definition at line 582 of file matpackII.cc.

References Sparse::matrix, Sparse::ncols(), and Sparse::nrows().

◆ transpose_mult()

void transpose_mult	(	VectorView	y,
		const Sparse &	M,
		ConstVectorView	x
	)

Sparse matrix - Vector multiplication.

This calculates the product

y = M*x, where M is sparse.

Output comes first!

Dimensions of y, M, and x must match. No memory reallocation takes place, only the data is copied.

Parameters

y	Output: The multiplication result.
M	Matrix for multiplication (sparse).
x	Vector for multiplication.

Definition at line 452 of file matpackII.cc.

References data, M, ARTS::Var::x(), and ARTS::Var::y().

Referenced by mult().

Functions

Detailed Description

Function Documentation

◆ abs()

◆ add()

◆ id_mat()

◆ mult() [1/4]

◆ mult() [2/4]

◆ mult() [3/4]

◆ mult() [4/4]

◆ operator<<()

◆ sub()

◆ transpose()

◆ transpose_mult()