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geometry.t
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geometry.t
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use Test::More;
use strict;
use warnings;
plan tests => 33;
BEGIN {
use FindBin;
use lib "$FindBin::Bin/../lib";
}
use Slic3r;
use Slic3r::Geometry qw(PI polygon_is_convex
chained_path_from epsilon scale);
{
# this test was failing on Windows (GH #1950)
my $polygon = Slic3r::Polygon->new(
[207802834,-57084522],[196528149,-37556190],[173626821,-25420928],[171285751,-21366123],
[118673592,-21366123],[116332562,-25420928],[93431208,-37556191],[82156517,-57084523],
[129714478,-84542120],[160244873,-84542120],
);
my $point = Slic3r::Point->new(95706562, -57294774);
ok $polygon->contains_point($point), 'contains_point';
}
#==========================================================
my $line1 = [ [5, 15], [30, 15] ];
my $line2 = [ [10, 20], [10, 10] ];
is_deeply Slic3r::Geometry::line_intersection($line1, $line2, 1)->arrayref, [10, 15], 'line_intersection';
#==========================================================
$line1 = [ [73.6310778185108/0.0000001, 371.74239268924/0.0000001], [73.6310778185108/0.0000001, 501.74239268924/0.0000001] ];
$line2 = [ [75/0.0000001, 437.9853/0.0000001], [62.7484/0.0000001, 440.4223/0.0000001] ];
isnt Slic3r::Geometry::line_intersection($line1, $line2, 1), undef, 'line_intersection';
#==========================================================
{
my $polygon = Slic3r::Polygon->new(
[45919000, 515273900], [14726100, 461246400], [14726100, 348753500], [33988700, 315389800],
[43749700, 343843000], [45422300, 352251500], [52362100, 362637800], [62748400, 369577600],
[75000000, 372014700], [87251500, 369577600], [97637800, 362637800], [104577600, 352251500],
[107014700, 340000000], [104577600, 327748400], [97637800, 317362100], [87251500, 310422300],
[82789200, 309534700], [69846100, 294726100], [254081000, 294726100], [285273900, 348753500],
[285273900, 461246400], [254081000, 515273900],
);
# this points belongs to $polyline
# note: it's actually a vertex, while we should better check an intermediate point
my $point = Slic3r::Point->new(104577600, 327748400);
local $Slic3r::Geometry::epsilon = 1E-5;
is_deeply Slic3r::Geometry::polygon_segment_having_point($polygon, $point)->pp,
[ [107014700, 340000000], [104577600, 327748400] ],
'polygon_segment_having_point';
}
#==========================================================
{
my $point = Slic3r::Point->new(736310778.185108, 5017423926.8924);
my $line = Slic3r::Line->new([627484000, 3695776000], [750000000, 3720147000]);
is Slic3r::Geometry::point_in_segment($point, $line), 0, 'point_in_segment';
}
#==========================================================
{
my $point = Slic3r::Point->new(736310778.185108, 5017423926.8924);
my $line = Slic3r::Line->new([627484000, 3695776000], [750000000, 3720147000]);
is Slic3r::Geometry::point_in_segment($point, $line), 0, 'point_in_segment';
}
#==========================================================
my $polygons = [
Slic3r::Polygon->new( # contour, ccw
[45919000, 515273900], [14726100, 461246400], [14726100, 348753500], [33988700, 315389800],
[43749700, 343843000], [45422300, 352251500], [52362100, 362637800], [62748400, 369577600],
[75000000, 372014700], [87251500, 369577600], [97637800, 362637800], [104577600, 352251500],
[107014700, 340000000], [104577600, 327748400], [97637800, 317362100], [87251500, 310422300],
[82789200, 309534700], [69846100, 294726100], [254081000, 294726100], [285273900, 348753500],
[285273900, 461246400], [254081000, 515273900],
),
Slic3r::Polygon->new( # hole, cw
[75000000, 502014700], [87251500, 499577600], [97637800, 492637800], [104577600, 482251500],
[107014700, 470000000], [104577600, 457748400], [97637800, 447362100], [87251500, 440422300],
[75000000, 437985300], [62748400, 440422300], [52362100, 447362100], [45422300, 457748400],
[42985300, 470000000], [45422300, 482251500], [52362100, 492637800], [62748400, 499577600],
),
];
#==========================================================
{
my $p1 = [10, 10];
my $p2 = [10, 20];
my $p3 = [10, 30];
my $p4 = [20, 20];
my $p5 = [0, 20];
is Slic3r::Geometry::angle3points($p2, $p3, $p1), PI(), 'angle3points';
is Slic3r::Geometry::angle3points($p2, $p1, $p3), PI(), 'angle3points';
is Slic3r::Geometry::angle3points($p2, $p3, $p4), PI()/2*3, 'angle3points';
is Slic3r::Geometry::angle3points($p2, $p4, $p3), PI()/2, 'angle3points';
is Slic3r::Geometry::angle3points($p2, $p1, $p4), PI()/2, 'angle3points';
is Slic3r::Geometry::angle3points($p2, $p1, $p5), PI()/2*3, 'angle3points';
}
{
my $p1 = [30, 30];
my $p2 = [20, 20];
my $p3 = [10, 10];
my $p4 = [30, 10];
is Slic3r::Geometry::angle3points($p2, $p1, $p3), PI(), 'angle3points';
is Slic3r::Geometry::angle3points($p2, $p1, $p4), PI()/2*3, 'angle3points';
is Slic3r::Geometry::angle3points($p2, $p1, $p1), 2*PI(), 'angle3points';
}
#==========================================================
{
my $cw_square = [ [0,0], [0,10], [10,10], [10,0] ];
is polygon_is_convex($cw_square), 0, 'cw square is not convex';
is polygon_is_convex([ reverse @$cw_square ]), 1, 'ccw square is convex';
my $convex1 = [ [0,0], [10,0], [10,10], [0,10], [0,6], [4,6], [4,4], [0,4] ];
is polygon_is_convex($convex1), 0, 'concave polygon';
}
#==========================================================
{
my $polyline = Slic3r::Polyline->new([0, 0], [10, 0], [20, 0]);
is_deeply [ map $_->pp, @{$polyline->lines} ], [
[ [0, 0], [10, 0] ],
[ [10, 0], [20, 0] ],
], 'polyline_lines';
}
#==========================================================
{
my $polygon = Slic3r::Polygon->new([0, 0], [10, 0], [5, 5]);
my $result = $polygon->split_at_index(1);
is ref($result), 'Slic3r::Polyline', 'split_at_index returns polyline';
is_deeply $result->pp, [ [10, 0], [5, 5], [0, 0], [10, 0] ], 'split_at_index';
}
#==========================================================
{
my $bb = Slic3r::Geometry::BoundingBox->new_from_points([ map Slic3r::Point->new(@$_), [0, 1], [10, 2], [20, 2] ]);
$bb->scale(2);
is_deeply [ $bb->min_point->pp, $bb->max_point->pp ], [ [0,2], [40,4] ], 'bounding box is scaled correctly';
}
#==========================================================
{
my $line = Slic3r::Line->new([10,10], [20,10]);
is $line->grow(5)->[0]->area, Slic3r::Polygon->new([10,5], [20,5], [20,15], [10,15])->area, 'grow line';
}
#==========================================================
{
# if chained_path() works correctly, these points should be joined with no diagonal paths
# (thus 26 units long)
my @points = map Slic3r::Point->new_scale(@$_), [26,26],[52,26],[0,26],[26,52],[26,0],[0,52],[52,52],[52,0];
my @ordered = @points[@{chained_path_from(\@points, $points[0])}];
ok !(grep { abs($ordered[$_]->distance_to($ordered[$_+1]) - scale 26) > epsilon } 0..$#ordered-1), 'chained_path';
}
#==========================================================
{
my $line = Slic3r::Line->new([0, 0], [20, 0]);
is +Slic3r::Point->new(10, 10)->distance_to_line($line), 10, 'distance_to';
is +Slic3r::Point->new(50, 10)->distance_to_line($line), 10, 'distance_to';
is +Slic3r::Point->new(0, 0)->distance_to_line($line), 0, 'distance_to';
is +Slic3r::Point->new(20, 0)->distance_to_line($line), 0, 'distance_to';
is +Slic3r::Point->new(10, 0)->distance_to_line($line), 0, 'distance_to';
}
#==========================================================
{
my $square = Slic3r::Polygon->new_scale(
[150,100],
[200,100],
[200,200],
[100,200],
[100,100],
);
is scalar(@{$square->concave_points(PI*4/3)}), 0, 'no concave vertices detected in convex polygon';
is scalar(@{$square->convex_points(PI*2/3)}), 4, 'four convex vertices detected in square';
}
{
my $square = Slic3r::Polygon->new_scale(
[200,200],
[100,200],
[100,100],
[150,100],
[200,100],
);
is scalar(@{$square->concave_points(PI*4/3)}), 0, 'no concave vertices detected in convex polygon';
is scalar(@{$square->convex_points(PI*2/3)}), 4, 'four convex vertices detected in square';
}