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use Test::More tests => 8;
use Math::MatrixReal;
use File::Spec;
use lib File::Spec->catfile("..","lib");
do 'funcs.pl';
##########################
## test to see if is_diagonal works
my $matrix = Math::MatrixReal->new_from_string(<<'MATRIX');
[ 1 0 0 0 0 0 0 ]
[ 0 5 0 0 0 0 0 ]
[ 0 0 1 0 0 0 0 ]
[ 0 0 0 1 0 0 0 ]
[ 0 0 0 0 5 0 0 ]
[ 0 0 0 0 0 1 0 ]
[ 0 0 0 0 0 0 -5 ]
MATRIX
ok( $matrix->is_diagonal(), 'is_diagonal works' );
###############################
## make sure it recognizes a matrix that is not diagonal
$matrix = Math::MatrixReal->new_from_string(<<"MATRIX");
[ 3 0 1 ]
[ 0 3 0 ]
[ 0 0 3 ]
MATRIX
ok(! $matrix->is_diagonal() );
###############################
## see if knows that if it ain't square, it ain't diagonal
$matrix = Math::MatrixReal->new_from_string(<<"MATRIX");
[ 1 0 ]
[ 0 0 ]
[ 0 1 ]
MATRIX
ok( ! $matrix->is_diagonal(), 'nonsquare matrix is not diagonal' );
##############################
## 1x1 matrix is diagonal by definition
$matrix = Math::MatrixReal->new_from_string(<<"MATRIX");
[ 1 ]
MATRIX
ok( $matrix->is_diagonal() ,'1x1 matrix is diagonal by definition');
##############################
### see if is_tridiagonal works
$matrix = Math::MatrixReal->new_from_string(<<'MATRIX');
[ 4 7 0 0 0 0 0 ]
[ 1 5 2 0 0 0 0 ]
[ 0 9 1 3 0 0 0 ]
[ 0 0 5 1 8 0 0 ]
[ 0 0 0 6 5 3 0 ]
[ 0 0 0 0 7 1 4 ]
[ 0 0 0 0 0 4 -5 ]
MATRIX
ok($matrix->is_tridiagonal() );
##############################
### this isn't tridiag
$matrix = Math::MatrixReal->new_from_string(<<'MATRIX');
[ 2 4 0 0 0 0 9 ]
[ 1 5 2 0 0 0 0 ]
[ 0 3 1 3 0 0 0 ]
[ 0 0 5 1 8 0 0 ]
[ 0 0 0 6 5 3 0 ]
[ 0 0 0 0 7 1 4 ]
[ 0 0 0 0 0 4 2 ]
MATRIX
ok( ! $matrix->is_tridiagonal() );
##############################
$matrix = Math::MatrixReal->new_from_string(<<'MATRIX');
[ 1 1 ]
[ 1 1 ]
MATRIX
ok( $matrix->is_tridiagonal(), '2x2 is always tridiag' );
###############################
### not quadratic => not tridiag
$matrix = Math::MatrixReal->new_from_string(<<'MATRIX');
[ 2 4 0 0 0 0 ]
[ 1 5 2 0 0 0 ]
[ 0 3 1 3 0 0 ]
[ 0 0 5 1 8 0 ]
[ 0 0 0 6 5 3 ]
[ 0 0 0 0 7 1 ]
[ 0 0 0 0 0 4 ]
MATRIX
ok(! $matrix->is_tridiagonal() );
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