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godot/tests/test_geometry_2d.h
PouleyKetchoupp 511c80b2ec Fix segment intersection consistency in Geometry2D 
Segment collision results could be different depending on the direction
when they exactly touch (order of the points in segments). This was due
to the way parallelism was checked, using different logic based on
positive or negative sign of cross products.

Now the results are the same whatever the direction, without changing
the current design, which is that parallel or colinear segments are
not considered colinear.

Fixes inconsistencies with raycasts exactly on edges of convex shapes
depending on the direction.
2021-08-25 18:17:52 -07:00

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/*************************************************************************/
/* test_geometry_2d.h */
/*************************************************************************/
/* This file is part of: */
/* GODOT ENGINE */
/* https://godotengine.org */
/*************************************************************************/
/* Copyright (c) 2007-2021 Juan Linietsky, Ariel Manzur. */
/* Copyright (c) 2014-2021 Godot Engine contributors (cf. AUTHORS.md). */
/* */
/* Permission is hereby granted, free of charge, to any person obtaining */
/* a copy of this software and associated documentation files (the */
/* "Software"), to deal in the Software without restriction, including */
/* without limitation the rights to use, copy, modify, merge, publish, */
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/* permit persons to whom the Software is furnished to do so, subject to */
/* the following conditions: */
/* */
/* The above copyright notice and this permission notice shall be */
/* included in all copies or substantial portions of the Software. */
/* */
/* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, */
/* EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF */
/* MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT.*/
/* IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY */
/* CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, */
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/* SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE. */
/*************************************************************************/
#ifndef TEST_GEOMETRY_2D_H
#define TEST_GEOMETRY_2D_H
#include "core/math/geometry_2d.h"
#include "core/templates/vector.h"
#include "thirdparty/doctest/doctest.h"
namespace TestGeometry2D {
TEST_CASE("[Geometry2D] Point in circle") {
CHECK(Geometry2D::is_point_in_circle(Vector2(0, 0), Vector2(0, 0), 1.0));
CHECK(Geometry2D::is_point_in_circle(Vector2(0, 0), Vector2(11.99, 0), 12));
CHECK(Geometry2D::is_point_in_circle(Vector2(-11.99, 0), Vector2(0, 0), 12));
CHECK_FALSE(Geometry2D::is_point_in_circle(Vector2(0, 0), Vector2(12.01, 0), 12));
CHECK_FALSE(Geometry2D::is_point_in_circle(Vector2(-12.01, 0), Vector2(0, 0), 12));
CHECK(Geometry2D::is_point_in_circle(Vector2(7, -42), Vector2(4, -40), 3.7));
CHECK_FALSE(Geometry2D::is_point_in_circle(Vector2(7, -42), Vector2(4, -40), 3.5));
// This tests points on the edge of the circle. They are treated as being inside the circle.
CHECK(Geometry2D::is_point_in_circle(Vector2(1.0, 0.0), Vector2(0, 0), 1.0));
CHECK(Geometry2D::is_point_in_circle(Vector2(0.0, -1.0), Vector2(0, 0), 1.0));
}
TEST_CASE("[Geometry2D] Point in triangle") {
CHECK(Geometry2D::is_point_in_triangle(Vector2(0, 0), Vector2(-1, 1), Vector2(0, -1), Vector2(1, 1)));
CHECK_FALSE(Geometry2D::is_point_in_triangle(Vector2(-1.01, 1.0), Vector2(-1, 1), Vector2(0, -1), Vector2(1, 1)));
CHECK(Geometry2D::is_point_in_triangle(Vector2(3, 2.5), Vector2(1, 4), Vector2(3, 2), Vector2(5, 4)));
CHECK(Geometry2D::is_point_in_triangle(Vector2(-3, -2.5), Vector2(-1, -4), Vector2(-3, -2), Vector2(-5, -4)));
CHECK_FALSE(Geometry2D::is_point_in_triangle(Vector2(0, 0), Vector2(1, 4), Vector2(3, 2), Vector2(5, 4)));
// This tests points on the edge of the triangle. They are treated as being outside the triangle.
// In `is_point_in_circle` and `is_point_in_polygon` they are treated as being inside, so in order the make
// the behaviour consistent this may change in the future (see issue #44717 and PR #44274).
CHECK_FALSE(Geometry2D::is_point_in_triangle(Vector2(1, 1), Vector2(-1, 1), Vector2(0, -1), Vector2(1, 1)));
CHECK_FALSE(Geometry2D::is_point_in_triangle(Vector2(0, 1), Vector2(-1, 1), Vector2(0, -1), Vector2(1, 1)));
}
TEST_CASE("[Geometry2D] Point in polygon") {
Vector<Vector2> p;
CHECK_FALSE(Geometry2D::is_point_in_polygon(Vector2(0, 0), p));
p.push_back(Vector2(-88, 120));
p.push_back(Vector2(-74, -38));
p.push_back(Vector2(135, -145));
p.push_back(Vector2(425, 70));
p.push_back(Vector2(68, 112));
p.push_back(Vector2(-120, 370));
p.push_back(Vector2(-323, -145));
CHECK_FALSE(Geometry2D::is_point_in_polygon(Vector2(-350, 0), p));
CHECK_FALSE(Geometry2D::is_point_in_polygon(Vector2(-110, 60), p));
CHECK_FALSE(Geometry2D::is_point_in_polygon(Vector2(412, 96), p));
CHECK_FALSE(Geometry2D::is_point_in_polygon(Vector2(83, 130), p));
CHECK_FALSE(Geometry2D::is_point_in_polygon(Vector2(-320, -153), p));
CHECK(Geometry2D::is_point_in_polygon(Vector2(0, 0), p));
CHECK(Geometry2D::is_point_in_polygon(Vector2(-230, 0), p));
CHECK(Geometry2D::is_point_in_polygon(Vector2(130, -110), p));
CHECK(Geometry2D::is_point_in_polygon(Vector2(370, 55), p));
CHECK(Geometry2D::is_point_in_polygon(Vector2(-160, 190), p));
// This tests points on the edge of the polygon. They are treated as being inside the polygon.
int c = p.size();
for (int i = 0; i < c; i++) {
const Vector2 &p1 = p[i];
CHECK(Geometry2D::is_point_in_polygon(p1, p));
const Vector2 &p2 = p[(i + 1) % c];
Vector2 midpoint((p1 + p2) * 0.5);
CHECK(Geometry2D::is_point_in_polygon(midpoint, p));
}
}
TEST_CASE("[Geometry2D] Polygon clockwise") {
Vector<Vector2> p;
CHECK_FALSE(Geometry2D::is_polygon_clockwise(p));
p.push_back(Vector2(5, -5));
p.push_back(Vector2(-1, -5));
p.push_back(Vector2(-5, -1));
p.push_back(Vector2(-1, 3));
p.push_back(Vector2(1, 5));
CHECK(Geometry2D::is_polygon_clockwise(p));
p.reverse();
CHECK_FALSE(Geometry2D::is_polygon_clockwise(p));
}
TEST_CASE("[Geometry2D] Line intersection") {
Vector2 r;
CHECK(Geometry2D::line_intersects_line(Vector2(2, 0), Vector2(0, 1), Vector2(0, 2), Vector2(1, 0), r));
CHECK(r.is_equal_approx(Vector2(2, 2)));
CHECK(Geometry2D::line_intersects_line(Vector2(-1, 1), Vector2(1, -1), Vector2(4, 1), Vector2(-1, -1), r));
CHECK(r.is_equal_approx(Vector2(1.5, -1.5)));
CHECK(Geometry2D::line_intersects_line(Vector2(-1, 0), Vector2(-1, -1), Vector2(1, 0), Vector2(1, -1), r));
CHECK(r.is_equal_approx(Vector2(0, 1)));
CHECK_FALSE_MESSAGE(
Geometry2D::line_intersects_line(Vector2(-1, 1), Vector2(1, -1), Vector2(0, 1), Vector2(1, -1), r),
"Parallel lines should not intersect.");
}
TEST_CASE("[Geometry2D] Segment intersection.") {
Vector2 r;
CHECK(Geometry2D::segment_intersects_segment(Vector2(-1, 1), Vector2(1, -1), Vector2(1, 1), Vector2(-1, -1), &r));
CHECK(r.is_equal_approx(Vector2(0, 0)));
CHECK_FALSE(Geometry2D::segment_intersects_segment(Vector2(-1, 1), Vector2(1, -1), Vector2(1, 1), Vector2(0.1, 0.1), &r));
CHECK_FALSE(Geometry2D::segment_intersects_segment(Vector2(-1, 1), Vector2(1, -1), Vector2(0.1, 0.1), Vector2(1, 1), &r));
CHECK_FALSE_MESSAGE(
Geometry2D::segment_intersects_segment(Vector2(-1, 1), Vector2(1, -1), Vector2(0, 1), Vector2(2, -1), &r),
"Parallel segments should not intersect.");
CHECK_MESSAGE(
Geometry2D::segment_intersects_segment(Vector2(0, 0), Vector2(0, 1), Vector2(0, 0), Vector2(1, 0), &r),
"Touching segments should intersect.");
CHECK(r.is_equal_approx(Vector2(0, 0)));
CHECK_MESSAGE(
Geometry2D::segment_intersects_segment(Vector2(0, 1), Vector2(0, 0), Vector2(0, 0), Vector2(1, 0), &r),
"Touching segments should intersect.");
CHECK(r.is_equal_approx(Vector2(0, 0)));
}
TEST_CASE("[Geometry2D] Closest point to segment") {
Vector2 s[] = { Vector2(-4, -4), Vector2(4, 4) };
CHECK(Geometry2D::get_closest_point_to_segment(Vector2(4.1, 4.1), s).is_equal_approx(Vector2(4, 4)));
CHECK(Geometry2D::get_closest_point_to_segment(Vector2(-4.1, -4.1), s).is_equal_approx(Vector2(-4, -4)));
CHECK(Geometry2D::get_closest_point_to_segment(Vector2(-1, 1), s).is_equal_approx(Vector2(0, 0)));
}
TEST_CASE("[Geometry2D] Closest point to uncapped segment") {
Vector2 s[] = { Vector2(-4, -4), Vector2(4, 4) };
CHECK(Geometry2D::get_closest_point_to_segment_uncapped(Vector2(-1, 1), s).is_equal_approx(Vector2(0, 0)));
CHECK(Geometry2D::get_closest_point_to_segment_uncapped(Vector2(-4, -6), s).is_equal_approx(Vector2(-5, -5)));
CHECK(Geometry2D::get_closest_point_to_segment_uncapped(Vector2(4, 6), s).is_equal_approx(Vector2(5, 5)));
}
TEST_CASE("[Geometry2D] Closest points between segments") {
Vector2 c1, c2;
Geometry2D::get_closest_points_between_segments(Vector2(2, 2), Vector2(3, 3), Vector2(4, 4), Vector2(4, 5), c1, c2);
CHECK(c1.is_equal_approx(Vector2(3, 3)));
CHECK(c2.is_equal_approx(Vector2(4, 4)));
Geometry2D::get_closest_points_between_segments(Vector2(0, 1), Vector2(-2, -1), Vector2(0, 0), Vector2(2, -2), c1, c2);
CHECK(c1.is_equal_approx(Vector2(-0.5, 0.5)));
CHECK(c2.is_equal_approx(Vector2(0, 0)));
Geometry2D::get_closest_points_between_segments(Vector2(-1, 1), Vector2(1, -1), Vector2(1, 1), Vector2(-1, -1), c1, c2);
CHECK(c1.is_equal_approx(Vector2(0, 0)));
CHECK(c2.is_equal_approx(Vector2(0, 0)));
}
TEST_CASE("[Geometry2D] Make atlas") {
Vector<Point2i> result;
Size2i size;
Vector<Size2i> r;
r.push_back(Size2i(2, 2));
Geometry2D::make_atlas(r, result, size);
CHECK(size == Size2i(2, 2));
CHECK(result.size() == r.size());
r.clear();
result.clear();
r.push_back(Size2i(1, 2));
r.push_back(Size2i(3, 4));
r.push_back(Size2i(5, 6));
r.push_back(Size2i(7, 8));
Geometry2D::make_atlas(r, result, size);
CHECK(result.size() == r.size());
}
TEST_CASE("[Geometry2D] Polygon intersection") {
Vector<Point2> a;
Vector<Point2> b;
Vector<Vector<Point2>> r;
a.push_back(Point2(30, 60));
a.push_back(Point2(70, 5));
a.push_back(Point2(200, 40));
a.push_back(Point2(80, 200));
SUBCASE("[Geometry2D] Both polygons are empty") {
r = Geometry2D::intersect_polygons(Vector<Point2>(), Vector<Point2>());
CHECK_MESSAGE(r.is_empty(), "Both polygons are empty. The intersection should also be empty.");
}
SUBCASE("[Geometry2D] One polygon is empty") {
r = Geometry2D::intersect_polygons(a, b);
REQUIRE_MESSAGE(r.is_empty(), "One polygon is empty. The intersection should also be empty.");
}
SUBCASE("[Geometry2D] Basic intersection") {
b.push_back(Point2(200, 300));
b.push_back(Point2(90, 200));
b.push_back(Point2(50, 100));
b.push_back(Point2(200, 90));
r = Geometry2D::intersect_polygons(a, b);
REQUIRE_MESSAGE(r.size() == 1, "The polygons should intersect each other with 1 resulting intersection polygon.");
REQUIRE_MESSAGE(r[0].size() == 3, "The resulting intersection polygon should have 3 vertices.");
CHECK(r[0][0].is_equal_approx(Point2(86.52174, 191.30436)));
CHECK(r[0][1].is_equal_approx(Point2(50, 100)));
CHECK(r[0][2].is_equal_approx(Point2(160.52632, 92.63157)));
}
SUBCASE("[Geometry2D] Intersection with one polygon being completely inside the other polygon") {
b.push_back(Point2(80, 100));
b.push_back(Point2(50, 50));
b.push_back(Point2(150, 50));
r = Geometry2D::intersect_polygons(a, b);
REQUIRE_MESSAGE(r.size() == 1, "The polygons should intersect each other with 1 resulting intersection polygon.");
REQUIRE_MESSAGE(r[0].size() == 3, "The resulting intersection polygon should have 3 vertices.");
CHECK(r[0][0].is_equal_approx(b[0]));
CHECK(r[0][1].is_equal_approx(b[1]));
CHECK(r[0][2].is_equal_approx(b[2]));
}
SUBCASE("[Geometry2D] No intersection with 2 non-empty polygons") {
b.push_back(Point2(150, 150));
b.push_back(Point2(250, 100));
b.push_back(Point2(300, 200));
r = Geometry2D::intersect_polygons(a, b);
REQUIRE_MESSAGE(r.is_empty(), "The polygons should not intersect each other.");
}
SUBCASE("[Geometry2D] Intersection with 2 resulting polygons") {
a.clear();
a.push_back(Point2(70, 5));
a.push_back(Point2(140, 7));
a.push_back(Point2(100, 52));
a.push_back(Point2(170, 50));
a.push_back(Point2(60, 125));
b.push_back(Point2(70, 105));
b.push_back(Point2(115, 55));
b.push_back(Point2(90, 15));
b.push_back(Point2(160, 50));
r = Geometry2D::intersect_polygons(a, b);
REQUIRE_MESSAGE(r.size() == 2, "The polygons should intersect each other with 2 resulting intersection polygons.");
REQUIRE_MESSAGE(r[0].size() == 4, "The resulting intersection polygon should have 4 vertices.");
CHECK(r[0][0].is_equal_approx(Point2(70, 105)));
CHECK(r[0][1].is_equal_approx(Point2(115, 55)));
CHECK(r[0][2].is_equal_approx(Point2(112.894737, 51.63158)));
CHECK(r[0][3].is_equal_approx(Point2(159.509537, 50.299728)));
REQUIRE_MESSAGE(r[1].size() == 3, "The intersection polygon should have 3 vertices.");
CHECK(r[1][0].is_equal_approx(Point2(119.692307, 29.846149)));
CHECK(r[1][1].is_equal_approx(Point2(107.706421, 43.33028)));
CHECK(r[1][2].is_equal_approx(Point2(90, 15)));
}
}
TEST_CASE("[Geometry2D] Merge polygons") {
Vector<Point2> a;
Vector<Point2> b;
Vector<Vector<Point2>> r;
a.push_back(Point2(225, 180));
a.push_back(Point2(160, 230));
a.push_back(Point2(20, 212));
a.push_back(Point2(50, 115));
SUBCASE("[Geometry2D] Both polygons are empty") {
r = Geometry2D::merge_polygons(Vector<Point2>(), Vector<Point2>());
REQUIRE_MESSAGE(r.is_empty(), "Both polygons are empty. The union should also be empty.");
}
SUBCASE("[Geometry2D] One polygon is empty") {
r = Geometry2D::merge_polygons(a, b);
REQUIRE_MESSAGE(r.size() == 1, "One polygon is non-empty. There should be 1 resulting merged polygon.");
REQUIRE_MESSAGE(r[0].size() == 4, "The resulting merged polygon should have 4 vertices.");
CHECK(r[0][0].is_equal_approx(a[0]));
CHECK(r[0][1].is_equal_approx(a[1]));
CHECK(r[0][2].is_equal_approx(a[2]));
CHECK(r[0][3].is_equal_approx(a[3]));
}
SUBCASE("[Geometry2D] Basic merge with 2 polygons") {
b.push_back(Point2(180, 190));
b.push_back(Point2(60, 140));
b.push_back(Point2(160, 80));
r = Geometry2D::merge_polygons(a, b);
REQUIRE_MESSAGE(r.size() == 1, "The merged polygons should result in 1 polygon.");
REQUIRE_MESSAGE(r[0].size() == 7, "The resulting merged polygon should have 7 vertices.");
CHECK(r[0][0].is_equal_approx(Point2(174.791077, 161.350967)));
CHECK(r[0][1].is_equal_approx(Point2(225, 180)));
CHECK(r[0][2].is_equal_approx(Point2(160, 230)));
CHECK(r[0][3].is_equal_approx(Point2(20, 212)));
CHECK(r[0][4].is_equal_approx(Point2(50, 115)));
CHECK(r[0][5].is_equal_approx(Point2(81.911758, 126.852943)));
CHECK(r[0][6].is_equal_approx(Point2(160, 80)));
}
SUBCASE("[Geometry2D] Merge with 2 resulting merged polygons (outline and hole)") {
b.push_back(Point2(180, 190));
b.push_back(Point2(140, 125));
b.push_back(Point2(60, 140));
b.push_back(Point2(160, 80));
r = Geometry2D::merge_polygons(a, b);
REQUIRE_MESSAGE(r.size() == 2, "The merged polygons should result in 2 polygons.");
REQUIRE_MESSAGE(!Geometry2D::is_polygon_clockwise(r[0]), "The merged polygon (outline) should be counter-clockwise.");
REQUIRE_MESSAGE(r[0].size() == 7, "The resulting merged polygon (outline) should have 7 vertices.");
CHECK(r[0][0].is_equal_approx(Point2(174.791077, 161.350967)));
CHECK(r[0][1].is_equal_approx(Point2(225, 180)));
CHECK(r[0][2].is_equal_approx(Point2(160, 230)));
CHECK(r[0][3].is_equal_approx(Point2(20, 212)));
CHECK(r[0][4].is_equal_approx(Point2(50, 115)));
CHECK(r[0][5].is_equal_approx(Point2(81.911758, 126.852943)));
CHECK(r[0][6].is_equal_approx(Point2(160, 80)));
REQUIRE_MESSAGE(Geometry2D::is_polygon_clockwise(r[1]), "The resulting merged polygon (hole) should be clockwise.");
REQUIRE_MESSAGE(r[1].size() == 3, "The resulting merged polygon (hole) should have 3 vertices.");
CHECK(r[1][0].is_equal_approx(Point2(98.083069, 132.859421)));
CHECK(r[1][1].is_equal_approx(Point2(158.689453, 155.370377)));
CHECK(r[1][2].is_equal_approx(Point2(140, 125)));
}
}
TEST_CASE("[Geometry2D] Clip polygons") {
Vector<Point2> a;
Vector<Point2> b;
Vector<Vector<Point2>> r;
a.push_back(Point2(225, 180));
a.push_back(Point2(160, 230));
a.push_back(Point2(20, 212));
a.push_back(Point2(50, 115));
SUBCASE("[Geometry2D] Both polygons are empty") {
r = Geometry2D::clip_polygons(Vector<Point2>(), Vector<Point2>());
CHECK_MESSAGE(r.is_empty(), "Both polygons are empty. The clip should also be empty.");
}
SUBCASE("[Geometry2D] Basic clip with one result polygon") {
b.push_back(Point2(250, 170));
b.push_back(Point2(175, 270));
b.push_back(Point2(120, 260));
b.push_back(Point2(25, 80));
r = Geometry2D::clip_polygons(a, b);
REQUIRE_MESSAGE(r.size() == 1, "The clipped polygons should result in 1 polygon.");
REQUIRE_MESSAGE(r[0].size() == 3, "The resulting clipped polygon should have 3 vertices.");
CHECK(r[0][0].is_equal_approx(Point2(100.102173, 222.298843)));
CHECK(r[0][1].is_equal_approx(Point2(20, 212)));
CHECK(r[0][2].is_equal_approx(Point2(47.588089, 122.798492)));
}
SUBCASE("[Geometry2D] Polygon b completely overlaps polygon a") {
b.push_back(Point2(250, 170));
b.push_back(Point2(175, 270));
b.push_back(Point2(10, 210));
b.push_back(Point2(55, 80));
r = Geometry2D::clip_polygons(a, b);
CHECK_MESSAGE(r.is_empty(), "Polygon 'b' completely overlaps polygon 'a'. This should result in no clipped polygons.");
}
SUBCASE("[Geometry2D] Polygon a completely overlaps polygon b") {
b.push_back(Point2(150, 200));
b.push_back(Point2(65, 190));
b.push_back(Point2(80, 140));
r = Geometry2D::clip_polygons(a, b);
REQUIRE_MESSAGE(r.size() == 2, "Polygon 'a' completely overlaps polygon 'b'. This should result in 2 clipped polygons.");
REQUIRE_MESSAGE(r[0].size() == 4, "The resulting clipped polygon should have 4 vertices.");
REQUIRE_MESSAGE(!Geometry2D::is_polygon_clockwise(r[0]), "The resulting clipped polygon (outline) should be counter-clockwise.");
CHECK(r[0][0].is_equal_approx(a[0]));
CHECK(r[0][1].is_equal_approx(a[1]));
CHECK(r[0][2].is_equal_approx(a[2]));
CHECK(r[0][3].is_equal_approx(a[3]));
REQUIRE_MESSAGE(r[1].size() == 3, "The resulting clipped polygon should have 3 vertices.");
REQUIRE_MESSAGE(Geometry2D::is_polygon_clockwise(r[1]), "The resulting clipped polygon (hole) should be clockwise.");
CHECK(r[1][0].is_equal_approx(b[1]));
CHECK(r[1][1].is_equal_approx(b[0]));
CHECK(r[1][2].is_equal_approx(b[2]));
}
}
TEST_CASE("[Geometry2D] Exclude polygons") {
Vector<Point2> a;
Vector<Point2> b;
Vector<Vector<Point2>> r;
a.push_back(Point2(225, 180));
a.push_back(Point2(160, 230));
a.push_back(Point2(20, 212));
a.push_back(Point2(50, 115));
SUBCASE("[Geometry2D] Both polygons are empty") {
r = Geometry2D::exclude_polygons(Vector<Point2>(), Vector<Point2>());
CHECK_MESSAGE(r.is_empty(), "Both polygons are empty. The excluded polygon should also be empty.");
}
SUBCASE("[Geometry2D] One polygon is empty") {
r = Geometry2D::exclude_polygons(a, b);
REQUIRE_MESSAGE(r.size() == 1, "One polygon is non-empty. There should be 1 resulting excluded polygon.");
REQUIRE_MESSAGE(r[0].size() == 4, "The resulting excluded polygon should have 4 vertices.");
CHECK(r[0][0].is_equal_approx(a[0]));
CHECK(r[0][1].is_equal_approx(a[1]));
CHECK(r[0][2].is_equal_approx(a[2]));
CHECK(r[0][3].is_equal_approx(a[3]));
}
SUBCASE("[Geometry2D] Exclude with 2 resulting polygons (outline and hole)") {
b.push_back(Point2(140, 160));
b.push_back(Point2(150, 220));
b.push_back(Point2(40, 200));
b.push_back(Point2(60, 140));
r = Geometry2D::exclude_polygons(a, b);
REQUIRE_MESSAGE(r.size() == 2, "There should be 2 resulting excluded polygons (outline and hole).");
REQUIRE_MESSAGE(r[0].size() == 4, "The resulting excluded polygon should have 4 vertices.");
REQUIRE_MESSAGE(!Geometry2D::is_polygon_clockwise(r[0]), "The resulting excluded polygon (outline) should be counter-clockwise.");
CHECK(r[0][0].is_equal_approx(a[0]));
CHECK(r[0][1].is_equal_approx(a[1]));
CHECK(r[0][2].is_equal_approx(a[2]));
CHECK(r[0][3].is_equal_approx(a[3]));
REQUIRE_MESSAGE(r[1].size() == 4, "The resulting excluded polygon should have 4 vertices.");
REQUIRE_MESSAGE(Geometry2D::is_polygon_clockwise(r[1]), "The resulting excluded polygon (hole) should be clockwise.");
CHECK(r[1][0].is_equal_approx(Point2(40, 200)));
CHECK(r[1][1].is_equal_approx(Point2(150, 220)));
CHECK(r[1][2].is_equal_approx(Point2(140, 160)));
CHECK(r[1][3].is_equal_approx(Point2(60, 140)));
}
}
TEST_CASE("[Geometry2D] Intersect polyline with polygon") {
Vector<Vector2> l;
Vector<Vector2> p;
Vector<Vector<Point2>> r;
l.push_back(Vector2(100, 90));
l.push_back(Vector2(120, 250));
p.push_back(Vector2(225, 180));
p.push_back(Vector2(160, 230));
p.push_back(Vector2(20, 212));
p.push_back(Vector2(50, 115));
SUBCASE("[Geometry2D] Both line and polygon are empty") {
r = Geometry2D::intersect_polyline_with_polygon(Vector<Vector2>(), Vector<Vector2>());
CHECK_MESSAGE(r.is_empty(), "Both line and polygon are empty. The intersection line should also be empty.");
}
SUBCASE("[Geometry2D] Line is non-empty and polygon is empty") {
r = Geometry2D::intersect_polyline_with_polygon(l, Vector<Vector2>());
CHECK_MESSAGE(r.is_empty(), "The polygon is empty while the line is non-empty. The intersection line should be empty.");
}
SUBCASE("[Geometry2D] Basic intersection with 1 resulting intersection line") {
r = Geometry2D::intersect_polyline_with_polygon(l, p);
REQUIRE_MESSAGE(r.size() == 1, "There should be 1 resulting intersection line.");
REQUIRE_MESSAGE(r[0].size() == 2, "The resulting intersection line should have 2 vertices.");
CHECK(r[0][0].is_equal_approx(Vector2(105.711609, 135.692886)));
CHECK(r[0][1].is_equal_approx(Vector2(116.805809, 224.446457)));
}
SUBCASE("[Geometry2D] Complex intersection with 2 resulting intersection lines") {
l.clear();
l.push_back(Vector2(100, 90));
l.push_back(Vector2(190, 255));
l.push_back(Vector2(135, 260));
l.push_back(Vector2(57, 200));
l.push_back(Vector2(50, 170));
l.push_back(Vector2(15, 155));
r = Geometry2D::intersect_polyline_with_polygon(l, p);
REQUIRE_MESSAGE(r.size() == 2, "There should be 2 resulting intersection lines.");
REQUIRE_MESSAGE(r[0].size() == 2, "The resulting intersection line should have 2 vertices.");
CHECK(r[0][0].is_equal_approx(Vector2(129.804565, 144.641693)));
CHECK(r[0][1].is_equal_approx(Vector2(171.527084, 221.132996)));
REQUIRE_MESSAGE(r[1].size() == 4, "The resulting intersection line should have 4 vertices.");
CHECK(r[1][0].is_equal_approx(Vector2(83.15609, 220.120087)));
CHECK(r[1][1].is_equal_approx(Vector2(57, 200)));
CHECK(r[1][2].is_equal_approx(Vector2(50, 170)));
CHECK(r[1][3].is_equal_approx(Vector2(34.980492, 163.563065)));
}
}
TEST_CASE("[Geometry2D] Clip polyline with polygon") {
Vector<Vector2> l;
Vector<Vector2> p;
Vector<Vector<Point2>> r;
l.push_back(Vector2(70, 140));
l.push_back(Vector2(160, 320));
p.push_back(Vector2(225, 180));
p.push_back(Vector2(160, 230));
p.push_back(Vector2(20, 212));
p.push_back(Vector2(50, 115));
SUBCASE("[Geometry2D] Both line and polygon are empty") {
r = Geometry2D::clip_polyline_with_polygon(Vector<Vector2>(), Vector<Vector2>());
CHECK_MESSAGE(r.is_empty(), "Both line and polygon are empty. The clipped line should also be empty.");
}
SUBCASE("[Geometry2D] Polygon is empty and line is non-empty") {
r = Geometry2D::clip_polyline_with_polygon(l, Vector<Vector2>());
REQUIRE_MESSAGE(r.size() == 1, "There should be 1 resulting clipped line.");
REQUIRE_MESSAGE(r[0].size() == 2, "The resulting clipped line should have 2 vertices.");
CHECK(r[0][0].is_equal_approx(l[0]));
CHECK(r[0][1].is_equal_approx(l[1]));
}
SUBCASE("[Geometry2D] Basic clip with 1 resulting clipped line") {
r = Geometry2D::clip_polyline_with_polygon(l, p);
REQUIRE_MESSAGE(r.size() == 1, "There should be 1 resulting clipped line.");
REQUIRE_MESSAGE(r[0].size() == 2, "The resulting clipped line should have 2 vertices.");
CHECK(r[0][0].is_equal_approx(Vector2(111.908401, 223.816803)));
CHECK(r[0][1].is_equal_approx(Vector2(160, 320)));
}
SUBCASE("[Geometry2D] Complex clip with 2 resulting clipped lines") {
l.clear();
l.push_back(Vector2(55, 70));
l.push_back(Vector2(50, 190));
l.push_back(Vector2(120, 165));
l.push_back(Vector2(122, 250));
l.push_back(Vector2(160, 320));
r = Geometry2D::clip_polyline_with_polygon(l, p);
REQUIRE_MESSAGE(r.size() == 2, "There should be 2 resulting clipped lines.");
REQUIRE_MESSAGE(r[0].size() == 3, "The resulting clipped line should have 3 vertices.");
CHECK(r[0][0].is_equal_approx(Vector2(160, 320)));
CHECK(r[0][1].is_equal_approx(Vector2(122, 250)));
CHECK(r[0][2].is_equal_approx(Vector2(121.412682, 225.038757)));
REQUIRE_MESSAGE(r[1].size() == 2, "The resulting clipped line should have 2 vertices.");
CHECK(r[1][0].is_equal_approx(Vector2(53.07737, 116.143021)));
CHECK(r[1][1].is_equal_approx(Vector2(55, 70)));
}
}
} // namespace TestGeometry2D
#endif // TEST_GEOMETRY_2D_H
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