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use Test::More tests => 6;
use File::Spec;
use lib File::Spec->catfile("..","lib");
use Math::MatrixReal;
do 'funcs.pl';
{
## compute a 2x2 inverse
$matrix = Math::MatrixReal->new_from_string(<<"MATRIX");
[ 3.0 7.0 ]
[ 2.0 5.0 ]
MATRIX
$inverse = Math::MatrixReal->new_from_string(<<"MATRIX");
[ 5.0 -7.0 ]
[ -2.0 3.0 ]
MATRIX
ok_matrix( $matrix ** -1 , $inverse, '** -1 = inverse ' );
}
{
## A*A^-1 should = indentity
my $matrix = Math::MatrixReal->new_random(10);
my $one = $matrix->clone();
$one->one();
ok_matrix($matrix * $matrix ** -1, $one );
}
{
my $one = Math::MatrixReal->new(5,5);
$one->one;
ok_matrix( $one, $one ** -1, q{inverse of identity is identity} );
}
{
my $matrix = Math::MatrixReal->new_random(3);
ok_matrix( $matrix->inverse->inverse, $matrix );
}
{
my $a = Math::MatrixReal->new_random(5);
my $b = Math::MatrixReal->new_random(5);
ok_matrix( ($a*$b)->inverse, ($b->inverse * $a->inverse) );
}
{
my $x = 1 + int rand (10);
my $a = Math::MatrixReal->new_from_rows ( [[ 1/$x ]] );
my $inv = $a->inverse;
ok_matrix( $a * $inv, $a->new_from_rows([[ 1 ]]), "inverting 1x1 matrices works" );
}
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