NAME
Math::Matrix::MaybeGSL - Uniform use of Math::MatrixReal and Math::GSL::Matrix.
VERSION
version 0.008
SYNOPSIS
use Math::Matrix::MaybeGSL;
my $matrix = Matrix->new(3, 4);
# puts first position of matrix with value 10
$matrix->assign(1, 1, 10);
# gets last position of matrix (should hold 0)
my $l = $matrix->element(3, 4);DESCRIPTION
This module interfaces with Math::GSL::Matrix or, if that is not available, Math::MatrixReal. The idea behind this module is to allow the development of tools that use matrices that will work in pure Perl (using Math::MatrixReal) or with extra efficiency using Math::GSL::Matrix.
Given the two modules API is quite distinct, this module defines its own API, stealing method names from both these modules.
METHODS
Matrix
This is a simple function that returns this package name: Math::Matrix::MaybeGSL. It allows a simple interface as shown below for the constructors.
isGSL
Returns a true value is running over Math::GSL backend.
if (Matrix->isGSL) { ... }new
Construct a new matrix object. Receives as arguments the number of rows and columns of the matrix being created.
my $matrix = Matrix->new(20, 30);Yes, although the module name is Math::Matrix::MaybeGSL, the Matrix subroutine will make it easier to use (shorter name).
new_from_cols
Receives a nested list with the matrix elements, one column at a time:
my $matrix = Matrix->new_from_cols( [[1, 2], [3, 4]]);
returns [ 1 3 ]
[ 2 4 ]new_from_rows
Receives a nested list with the matrix elements, one row at a time:
my $matrix = Matrix->new_from_rows( [[1, 2], [3, 4]]);
returns [ 1 2 ]
[ 3 4 ]dim
Returns a list (a pair) with the number of lines and columns of the matrix.
my ($rows, $columns) = $matrix->dim();assign
Sets a value in a specific position. Note that indexes start at 1 unlike Perl and some other programming languages.
# sets the first element of the matrix to 10.
$matrix->assign(1, 1, 10);element
Retrieves a value from a specific position of the matrix. Note that indexes start at 1 unlike Perl and some other programming languages.
# retrieves the second element of the first row
my $val = $matrix->element(1, 2);each
Apply a specific function to every element of the matrix, returning a new one.
# square all elements
$squared_matrix = $matrix->each( { shift ** 2 } );hconcat
Concatenates two matrices horizontally. Note they must have the same number of rows.
$C = $a->hconcat($b);
if A = [ 1 2 ] and B = [ 5 6 ] then C = [ 1 2 5 6 ]
[ 3 4 ] [ 7 8 ] [ 3 4 7 8 ]vconcat
Concatenates two matrices horizontally. Note they must have the same number of rows.
$C = $a->vconcat($b);
if A = [ 1 2 ] and B = [ 5 6 ] then C = [ 1 2 ]
[ 3 4 ] [ 7 8 ] [ 3 4 ]
[ 5 6 ]
[ 7 8 ]max
Returns the maximum value of the matrix. In scalar context the position is also returned. For vectors (matrices whose number of rows or columns is 1) only a position value is returned.
$max = $matrix->max();
($max, $row, $col) = $matrix->max();min
Returns the minimum value of the matrix. In scalar context the position is also returned. For vectors (matrices whose number of rows or columns is 1) only a position value is returned.
$min = $matrix->min();
($min, $row, $col) = $matrix->min();det
Returns the determinant of the matrix, without going through the rigamarole of computing a LR decomposition.
as_list
Get the contents of a matrix instance as a Perl list.
write
Given a matrix and a filename, writes that matrix to the file. Note that if the file exists it will be overwritten. Also, files written by Math::GSL will not be compatible with files written by Math::MatrixReal nor vice-versa.
$matrix->write("my_matrix.dat");read
Reads a matrix written by the write method. Note that it will only read matrices written by the same back-end that is being used for reading.
my $matrix = Matrix->load("my_matrix.dat");row
Returns the selected row in a matrix as a new matrix object. Note that indexes start at 1 unlike Perl and some other programming languages.
my $row = $matrix->row(1);find_zeros
Given a matrix, returns a nested list of indices corresponding to zero values in the given matrix. Note that indexes start at 1 unlike Perl and some other programming languages.
my @indices = $matrix->find_zeros();transpose
Returns transposed matrix.
OVERLOAD
For now only matrix multiplication and addition are overloaded, in the usual operators, * and +, correspondingly. Take attention that these operations only work if the matrix dimensions are compatible.
$m = $a * $b;
$n = $a + $b;BUGS
At this initial stage of this module, only the methods that I am really needing for my depending applications are implemented. Therefore, it might not include the method that you were looking for. Nevertheless, send me an e-mail (or open an issue on GitHub) and I'll be happy to include it (given the two modules support it).
SEE ALSO
Check Math::MatrixReal and Math::GSL::Matrix documentation.
CONTRIBUTORS
Andrius Merkys <merkys@cpan.org>
Ivan Baidakou
Gabor Szabo
AUTHOR
Alberto Simões <ambs@cpan.org>
COPYRIGHT AND LICENSE
This software is copyright (c) 2014-2023 by Alberto Simões.
This is free software; you can redistribute it and/or modify it under the same terms as the Perl 5 programming language system itself.