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+// MIT License
+
+// Copyright (c) 2020 Erin Catto
+
+// 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, distribute, sublicense, and/or sell
+// copies of the Software, and to 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, TORT OR OTHERWISE, ARISING FROM,
+// OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
+// SOFTWARE.
+
+#include "box2d/box2d.h"
+#include "doctest.h"
+#include <stdio.h>
+
+// Unit tests for collision algorithms
+DOCTEST_TEST_CASE("collision test")
+{
+ SUBCASE("polygon mass data")
+ {
+ const b2Vec2 center(100.0f, -50.0f);
+ const float hx = 0.5f, hy = 1.5f;
+ const float angle1 = 0.25f;
+
+ // Data from issue #422. Not used because the data exceeds accuracy limits.
+ //const b2Vec2 center(-15000.0f, -15000.0f);
+ //const float hx = 0.72f, hy = 0.72f;
+ //const float angle1 = 0.0f;
+
+ b2PolygonShape polygon1;
+ polygon1.SetAsBox(hx, hy, center, angle1);
+
+ const float absTol = 2.0f * b2_epsilon;
+ const float relTol = 2.0f * b2_epsilon;
+
+ CHECK(b2Abs(polygon1.m_centroid.x - center.x) < absTol + relTol * b2Abs(center.x));
+ CHECK(b2Abs(polygon1.m_centroid.y - center.y) < absTol + relTol * b2Abs(center.y));
+
+ b2Vec2 vertices[4];
+ vertices[0].Set(center.x - hx, center.y - hy);
+ vertices[1].Set(center.x + hx, center.y - hy);
+ vertices[2].Set(center.x - hx, center.y + hy);
+ vertices[3].Set(center.x + hx, center.y + hy);
+
+ b2PolygonShape polygon2;
+ polygon2.Set(vertices, 4);
+
+ CHECK(b2Abs(polygon2.m_centroid.x - center.x) < absTol + relTol * b2Abs(center.x));
+ CHECK(b2Abs(polygon2.m_centroid.y - center.y) < absTol + relTol * b2Abs(center.y));
+
+ const float mass = 4.0f * hx * hy;
+ const float inertia = (mass / 3.0f) * (hx * hx + hy * hy) + mass * b2Dot(center, center);
+
+ b2MassData massData1;
+ polygon1.ComputeMass(&massData1, 1.0f);
+
+ CHECK(b2Abs(massData1.center.x - center.x) < absTol + relTol * b2Abs(center.x));
+ CHECK(b2Abs(massData1.center.y - center.y) < absTol + relTol * b2Abs(center.y));
+ CHECK(b2Abs(massData1.mass - mass) < 20.0f * (absTol + relTol * mass));
+ CHECK(b2Abs(massData1.I - inertia) < 40.0f * (absTol + relTol * inertia));
+
+ b2MassData massData2;
+ polygon2.ComputeMass(&massData2, 1.0f);
+
+ CHECK(b2Abs(massData2.center.x - center.x) < absTol + relTol * b2Abs(center.x));
+ CHECK(b2Abs(massData2.center.y - center.y) < absTol + relTol * b2Abs(center.y));
+ CHECK(b2Abs(massData2.mass - mass) < 20.0f * (absTol + relTol * mass));
+ CHECK(b2Abs(massData2.I - inertia) < 40.0f * (absTol + relTol * inertia));
+ }
+}