package LaTeX::TikZ::Set::Arc;
use strict;
use warnings;
=head1 NAME
LaTeX::TikZ::Set::Arc - A combined set object representing an arc.
=head1 VERSION
Version 0.02
=cut
our $VERSION = '0.02';
use Carp ();
use Math::Complex ();
use Math::Trig ();
use LaTeX::TikZ::Point;
use LaTeX::TikZ::Set::Circle;
use LaTeX::TikZ::Set::Polyline;
use LaTeX::TikZ::Interface;
use LaTeX::TikZ::Tools;
use Any::Moose 'Util::TypeConstraints' => [ 'find_type_constraint' ];
my $ltp_tc = find_type_constraint('LaTeX::TikZ::Point::Autocoerce');
LaTeX::TikZ::Interface->register(
arc => sub {
shift;
Carp::confess('Tikz->arc($first_point, $second_point, $center)') if @_ < 3;
my ($a, $b, $c) = @_;
for ($a, $b, $c) {
my $p = $ltp_tc->coerce($_);
$ltp_tc->assert_valid($p);
$_ = Math::Complex->make($p->x, $p->y);
}
my $r = abs($a - $c);
Carp::confess("The two first points aren't on a circle of center the last")
unless LaTeX::TikZ::Tools::numeq(abs($b - $c), $r);
my $set = LaTeX::TikZ::Set::Circle->new(
center => $c,
radius => $r,
);
my $factor = 1/32;
my $theta = (($b - $c) / ($a - $c))->arg;
my $points = int(abs($theta) / abs(Math::Trig::acos(0.95)));
$theta /= $points + 1;
my $rho = (1 / cos($theta)) / (1 - $factor);
my $ua = ($a - $c) * (1 - $factor) + $c;
my $ub = ($b - $c) * (1 - $factor) + $c;
my @outside = map { $_ * $rho + $c } (
$a - $c,
(map { ($a - $c) * Math::Complex->emake(1, $_ * $theta) } 1 .. $points),
$b - $c,
);
$set->clip(
LaTeX::TikZ::Set::Polyline->new(
points => [ $ua, @outside, $ub ],
closed => 1,
),
);
},
);
=head1 SEE ALSO
L<LaTeX::TikZ>, L<LaTeX::TikZ::Set>.
=head1 AUTHOR
Vincent Pit, C<< <perl at profvince.com> >>, L<http://www.profvince.com>.
You can contact me by mail or on C<irc.perl.org> (vincent).
=head1 BUGS
Please report any bugs or feature requests to C<bug-latex-tikz at rt.cpan.org>, or through the web interface at L<http://rt.cpan.org/NoAuth/ReportBug.html?Queue=LaTeX-TikZ>.
I will be notified, and then you'll automatically be notified of progress on your bug as I make changes.
=head1 SUPPORT
You can find documentation for this module with the perldoc command.
perldoc LaTeX::TikZ
=head1 COPYRIGHT & LICENSE
Copyright 2010 Vincent Pit, all rights reserved.
This program is free software; you can redistribute it and/or modify it under the same terms as Perl itself.
=cut
1; # End of LaTeX::TikZ::Set::Arc