use 5.010001;
use Test::More tests => 10;
use Math::Polynomial::Solve qw(:sturm :utility poly_roots ascending_order);
use Math::Utils qw(:polynomial :compare);
use strict;
use warnings;
my($eq, $ne) = generate_relational(2.5e-7);
my @case = (
[20, 200, -4, -1],
[2, 3, 1],
[1, 2, 3, 4],
[6, 15, 10, 0, -1],
[2, 6, 5, 0, -1],
);
ascending_order(0);
for my $cref (@case)
{
my @polynomial = @$cref;
my @rev = reverse @polynomial;
my @plroots = poly_roots(@polynomial);
my @chain = poly_sturm_chain(@polynomial);
my @roots = sturm_bisection_roots(\@chain, -10000, 100);
my @zeroes = pl_evaluate(\@rev, \@roots);
my @badvals = grep {&$ne($_, 0)} @zeroes;
ok(scalar @badvals == 0,
"Polynomial: [" . join(", ", @polynomial) . "],\n" .
" 'zeroes' are (" . join(", ", @zeroes) . ")\n" .
" sturm_bisection_roots() returns (" . join(", ", @roots) . ")\n" .
" poly_roots() returns (" . join(", ", @plroots) . ")"
);
}
ascending_order(1);
for my $cref (@case)
{
my @polynomial = reverse @$cref;
my @plroots = poly_roots(@polynomial);
my @chain = poly_sturm_chain(@polynomial);
my @roots = sturm_bisection_roots(\@chain, -10000, 100);
my @zeroes = pl_evaluate(\@polynomial, \@roots);
my @badvals = grep {&$ne($_, 0)} @zeroes;
ok(scalar @badvals == 0,
"Polynomial (ascending): [" . join(", ", @polynomial) . "],\n" .
" 'zeroes' are (" . join(", ", @zeroes) . ")\n" .
" sturm_bisection_roots() returns (" . join(", ", @roots) . ")\n" .
" poly_roots() returns (" . join(", ", @plroots) . ")"
);
}
exit(0);
sub rootprint
{
my @fmtlist;
for (@_)
{
push @fmtlist, cartesian_format(undef, undef, $_);
}
return "[ " . join(", ", @fmtlist) . " ]";
}
1;