#!/usr/bin/perl -w # Copyright 2011, 2012, 2013, 2014, 2015, 2016, 2017, 2018, 2019, 2020 Kevin Ryde # This file is part of Math-PlanePath. # # Math-PlanePath is free software; you can redistribute it and/or modify it # under the terms of the GNU General Public License as published by the Free # Software Foundation; either version 3, or (at your option) any later # version. # # Math-PlanePath is distributed in the hope that it will be useful, but # WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY # or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License # for more details. # # You should have received a copy of the GNU General Public License along # with Math-PlanePath. If not, see <http://www.gnu.org/licenses/>. use 5.004; use strict; use Test; plan tests => 596; use lib 't'; use MyTestHelpers; BEGIN { MyTestHelpers::nowarnings(); } require Math::PlanePath::GosperIslands; #------------------------------------------------------------------------------ # VERSION { my $want_version = 129; ok ($Math::PlanePath::GosperIslands::VERSION, $want_version, 'VERSION variable'); ok (Math::PlanePath::GosperIslands->VERSION, $want_version, 'VERSION class method'); ok (eval { Math::PlanePath::GosperIslands->VERSION($want_version); 1 }, 1, "VERSION class check $want_version"); my $check_version = $want_version + 1000; ok (! eval { Math::PlanePath::GosperIslands->VERSION($check_version); 1 }, 1, "VERSION class check $check_version"); my $path = Math::PlanePath::GosperIslands->new; ok ($path->VERSION, $want_version, 'VERSION object method'); ok (eval { $path->VERSION($want_version); 1 }, 1, "VERSION object check $want_version"); ok (! eval { $path->VERSION($check_version); 1 }, 1, "VERSION object check $check_version"); } #------------------------------------------------------------------------------ # n_start, x_negative, y_negative { my $path = Math::PlanePath::GosperIslands->new; ok ($path->n_start, 1, 'n_start()'); ok ($path->x_negative, 1, 'x_negative()'); ok ($path->y_negative, 1, 'y_negative()'); } #------------------------------------------------------------------------------ # first few points { my @data = ( # [ .5, -1.5, -.5 ], # [ 3.25, 1.25, -.25 ], # [ 3.75, -3.25, -.25 ], # [ 1, 2,0 ], [ 2, 1,1 ], [ 3, -1,1 ], [ 4, -2,0 ], [ 5, -1,-1 ], [ 6, 1,-1 ], [ 7, 5,1 ], [ 8, 4,2 ], [ 9, 2,2 ], [ 10, 1,3 ], [ 11, -1,3 ], [ 12, -2,2 ], [ 13, -4,2 ], [ 14, -5,1 ], [ 15, -4,0 ], [ 25, 11,5 ], # [ 9, 1,2 ], # [ 10, 3,2 ], # [ 11, 2,1 ], # [ 12, 3,0 ], # [ 33, -1,7 ], ); my $path = Math::PlanePath::GosperIslands->new; foreach my $elem (@data) { my ($n, $x, $y) = @$elem; { # n_to_xy() my ($got_x, $got_y) = $path->n_to_xy ($n); if ($got_x == 0) { $got_x = 0 } # avoid "-0" if ($got_y == 0) { $got_y = 0 } ok ($got_x, $x, "n_to_xy() x at n=$n"); ok ($got_y, $y, "n_to_xy() y at n=$n"); } if ($n==int($n)) { # xy_to_n() my $got_n = $path->xy_to_n ($x, $y); ok ($got_n, $n, "xy_to_n() n at x=$x,y=$y"); } { $n = int($n); my ($got_nlo, $got_nhi) = $path->rect_to_n_range (0,0, $x,$y); ok ($got_nlo <= $n, 1, "rect_to_n_range() nlo=$got_nlo at n=$n,x=$x,y=$y"); ok ($got_nhi >= $n, 1, "rect_to_n_range() nhi=$got_nhi at n=$n,x=$x,y=$y"); } } } #------------------------------------------------------------------------------ # xy_to_n() reverse n_to_xy() { my $path = Math::PlanePath::GosperIslands->new; for (1 .. 500) { my $bits = int(rand(25)); # 0 to 25, inclusive my $n = int(rand(2**$bits)) + 1; # 1 to 2^bits, inclusive my ($x,$y) = $path->n_to_xy ($n); my $rev_n = $path->xy_to_n ($x,$y); ok ($rev_n, $n, "xy_to_n() reverse n=$n"); } } #------------------------------------------------------------------------------ # xy_to_n() distinct n { my $path = Math::PlanePath::GosperIslands->new; my $bad = 0; my %seen; my $xlo = -50; my $xhi = 50; my $ylo = -50; my $yhi = 50; my ($nlo, $nhi) = $path->rect_to_n_range($xlo,$ylo, $xhi,$yhi); my $count = 0; OUTER: for (my $x = $xlo; $x <= $xhi; $x++) { for (my $y = $ylo; $y <= $yhi; $y++) { next if ($x ^ $y) & 1; my $n = $path->xy_to_n ($x,$y); next if ! defined $n; # sparse if ($seen{$n}) { MyTestHelpers::diag ("x=$x,y=$y n=$n seen before at $seen{$n}"); last if $bad++ > 10; } if ($n < $nlo) { MyTestHelpers::diag ("x=$x,y=$y n=$n below nlo=$nlo"); last OUTER if $bad++ > 10; } if ($n > $nhi) { MyTestHelpers::diag ("x=$x,y=$y n=$n above nhi=$nhi"); last OUTER if $bad++ > 10; } $seen{$n} = "$x,$y"; $count++; } } ok ($bad, 0, "xy_to_n() coverage and distinct, $count points"); } exit 0;