// // MeshInfoTests.cpp // tests/physics/src // // Created by Virendra Singh on 2015.03.02 // Copyright 2014 High Fidelity, Inc. // // Distributed under the Apache License, Version 2.0. // See the accompanying file LICENSE or http://www.apache.org/licenses/LICENSE-2.0.html // #include #include #include #include "MeshInfoTests.h" const float epsilon = 0.015f; void MeshInfoTests::testWithTetrahedron(){ glm::vec3 p0(8.33220, -11.86875, 0.93355); glm::vec3 p1(0.75523, 5.00000, 16.37072); glm::vec3 p2(52.61236, 5.00000, -5.38580); glm::vec3 p3(2.00000, 5.00000, 3.00000); glm::vec3 centroid(15.92492, 0.782813, 3.72962); //translate the tetrahedron so that its apex is on origin glm::vec3 p11 = p1 - p0; glm::vec3 p22 = p2 - p0; glm::vec3 p33 = p3 - p0; vector vertices = { p11, p22, p33 }; vector triangles = { 0, 1, 2 }; float volume = 1873.233236f; float inertia_a = 43520.33257f; //actual should be 194711.28938f. But for some reason it becomes 194711.296875 during //runtime due to how floating points are stored. float inertia_b = 194711.289f; float inertia_c = 191168.76173f; float inertia_aa = 4417.66150f; float inertia_bb = -46343.16662f; float inertia_cc = 11996.20119f; meshinfo::MeshInfo meshinfo(&vertices,&triangles); vector voumeAndInertia = meshinfo.computeMassProperties(); glm::vec3 tetCenterOfMass = meshinfo.getMeshCentroid(); //get original center of mass tetCenterOfMass = tetCenterOfMass + p0; glm::vec3 diff = centroid - tetCenterOfMass; std::cout << std::setprecision(12); //test if centroid is correct if (diff.x > epsilon || diff.y > epsilon || diff.z > epsilon){ std::cout << __FILE__ << ":" << __LINE__ << " ERROR : Centroid is incorrect : Expected = " << centroid.x << " " << centroid.y << " " << centroid.z << ", actual = " << tetCenterOfMass.x << " " << tetCenterOfMass.y << " " << tetCenterOfMass.z << std::endl; } //test if volume is correct if (abs(volume - voumeAndInertia.at(0)) > epsilon){ std::cout << __FILE__ << ":" << __LINE__ << " ERROR : Volume is incorrect : Expected = " << volume << " " << ", actual = " << voumeAndInertia.at(0) << std::endl; } //test if moment of inertia with respect to x axis is correct if (abs(inertia_a - (voumeAndInertia.at(1))) > epsilon){ std::cout << __FILE__ << ":" << __LINE__ << " ERROR : Moment of inertia with respect to x axis is incorrect : Expected = " << inertia_a << " " << ", actual = " << voumeAndInertia.at(1) << std::endl; } //test if moment of inertia with respect to y axis is correct if (abs(inertia_b - voumeAndInertia.at(2)) > epsilon){ std::cout << __FILE__ << ":" << __LINE__ << " ERROR : Moment of inertia with respect to y axis is incorrect : Expected = " << inertia_b << " " << ", actual = " << (voumeAndInertia.at(2)) << std::endl; } //test if moment of inertia with respect to z axis is correct if (abs(inertia_c - (voumeAndInertia.at(3))) > epsilon){ std::cout << __FILE__ << ":" << __LINE__ << " ERROR : Moment of inertia with respect to z axis is incorrect : Expected = " << inertia_c << " " << ", actual = " << (voumeAndInertia.at(3)) << std::endl; } //test if product of inertia with respect to x axis is correct if (abs(inertia_aa - (voumeAndInertia.at(4))) > epsilon){ std::cout << __FILE__ << ":" << __LINE__ << " ERROR : Product of inertia with respect to x axis is incorrect : Expected = " << inertia_aa << " " << ", actual = " << (voumeAndInertia.at(4)) << std::endl; } //test if product of inertia with respect to y axis is correct if (abs(inertia_bb - (voumeAndInertia.at(5))) > epsilon){ std::cout << __FILE__ << ":" << __LINE__ << " ERROR : Product of inertia with respect to y axis is incorrect : Expected = " << inertia_bb << " " << ", actual = " << (voumeAndInertia.at(5)) << std::endl; } //test if product of inertia with respect to z axis is correct if (abs(inertia_cc - (voumeAndInertia.at(6))) > epsilon){ std::cout << __FILE__ << ":" << __LINE__ << " ERROR : Product of inertia with respect to z axis is incorrect : Expected = " << inertia_cc << " " << ", actual = " << (voumeAndInertia.at(6)) << std::endl; } } void MeshInfoTests::testWithTetrahedronAsMesh(){ glm::vec3 p0(8.33220, -11.86875, 0.93355); glm::vec3 p1(0.75523, 5.00000, 16.37072); glm::vec3 p2(52.61236, 5.00000, -5.38580); glm::vec3 p3(2.00000, 5.00000, 3.00000); glm::vec3 centroid(15.92492, 0.782813, 3.72962); /* TODO: actually test inertia/volume calculations here //float volume = 1873.233236f; //runtime due to how floating points are stored. float inertia_a = 43520.33257f; float inertia_b = 194711.289f; float inertia_c = 191168.76173f; float inertia_aa = 4417.66150f; float inertia_bb = -46343.16662f; float inertia_cc = 11996.20119f; */ std::cout << std::setprecision(12); vector vertices = { p0, p1, p2, p3 }; vector triangles = { 0, 2, 1, 0, 3, 2, 0, 1, 3, 1, 2, 3 }; meshinfo::MeshInfo massProp(&vertices, &triangles); vector volumeAndInertia = massProp.computeMassProperties(); std::cout << volumeAndInertia[0] << " " << volumeAndInertia[1] << " " << volumeAndInertia[2] << " " << volumeAndInertia[3] << " " << volumeAndInertia[4] << " " << volumeAndInertia[5] << " " << volumeAndInertia[6] << std::endl; //translate the tetrahedron so that the model is placed at origin i.e. com is at origin p0 -= centroid; p1 -= centroid; p2 -= centroid; p3 -= centroid; } void MeshInfoTests::testWithCube(){ glm::vec3 p0(1.0, -1.0, -1.0); glm::vec3 p1(1.0, -1.0, 1.0); glm::vec3 p2(-1.0, -1.0, 1.0); glm::vec3 p3(-1.0, -1.0, -1.0); glm::vec3 p4(1.0, 1.0, -1.0); glm::vec3 p5(1.0, 1.0, 1.0); glm::vec3 p6(-1.0, 1.0, 1.0); glm::vec3 p7(-1.0, 1.0, -1.0); vector vertices; vertices.push_back(p0); vertices.push_back(p1); vertices.push_back(p2); vertices.push_back(p3); vertices.push_back(p4); vertices.push_back(p5); vertices.push_back(p6); vertices.push_back(p7); std::cout << std::setprecision(10); vector triangles = { 0, 1, 2, 0, 2, 3, 4, 7, 6, 4, 6, 5, 0, 4, 5, 0, 5, 1, 1, 5, 6, 1, 6, 2, 2, 6, 7, 2, 7, 3, 4, 0, 3, 4, 3, 7 }; glm::vec3 centerOfMass(0.0, 0.0, 0.0); double volume = 8.0; double side = 2.0; double inertia = (volume * side * side) / 6.0; //inertia of a unit cube is (mass * side * side) /6 //test with origin as reference point meshinfo::MeshInfo massProp(&vertices, &triangles); vector volumeAndInertia = massProp.computeMassProperties(); if (abs(centerOfMass.x - massProp.getMeshCentroid().x) > epsilon || abs(centerOfMass.y - massProp.getMeshCentroid().y) > epsilon || abs(centerOfMass.z - massProp.getMeshCentroid().z) > epsilon){ std::cout << __FILE__ << ":" << __LINE__ << " ERROR : Center of mass is incorrect : Expected = " << centerOfMass.x << " " << centerOfMass.y << " " << centerOfMass.z << ", actual = " << massProp.getMeshCentroid().x << " " << massProp.getMeshCentroid().y << " " << massProp.getMeshCentroid().z << std::endl; } if (abs(volume - volumeAndInertia.at(0)) > epsilon){ std::cout << __FILE__ << ":" << __LINE__ << " ERROR : Volume is incorrect : Expected = " << volume << ", actual = " << volumeAndInertia.at(0) << std::endl; } if (abs(inertia - (volumeAndInertia.at(1))) > epsilon || abs(inertia - (volumeAndInertia.at(2))) > epsilon || abs(inertia - (volumeAndInertia.at(3))) > epsilon){ std::cout << __FILE__ << ":" << __LINE__ << " ERROR : Moment of inertia is incorrect : Expected = " << inertia << " " << inertia << " " << inertia << ", actual = " << (volumeAndInertia.at(1)) << " " << (volumeAndInertia.at(2)) << " " << (volumeAndInertia.at(3)) << std::endl; } } void MeshInfoTests::testWithUnitCube() { glm::vec3 p0(0, 0, 1); glm::vec3 p1(1, 0, 1); glm::vec3 p2(0, 1, 1); glm::vec3 p3(1, 1, 1); glm::vec3 p4(0, 0, 0); glm::vec3 p5(1, 0, 0); glm::vec3 p6(0, 1, 0); glm::vec3 p7(1, 1, 0); vector vertices; vertices.push_back(p0); vertices.push_back(p1); vertices.push_back(p2); vertices.push_back(p3); vertices.push_back(p4); vertices.push_back(p5); vertices.push_back(p6); vertices.push_back(p7); vector triangles = { 0, 1, 2, 1, 3, 2, 2, 3, 7, 2, 7, 6, 1, 7, 3, 1, 5, 7, 6, 7, 4, 7, 5, 4, 0, 4, 1, 1, 4, 5, 2, 6, 4, 0, 2, 4 }; glm::vec3 centerOfMass(0.5, 0.5, 0.5); double volume = 1.0; double side = 1.0; double inertia = (volume * side * side) / 6.0; //inertia of a unit cube is (mass * side * side) /6 std::cout << std::setprecision(10); //test with origin as reference point meshinfo::MeshInfo massProp(&vertices, &triangles); vector volumeAndInertia = massProp.computeMassProperties(); if (abs(centerOfMass.x - massProp.getMeshCentroid().x) > epsilon || abs(centerOfMass.y - massProp.getMeshCentroid().y) > epsilon || abs(centerOfMass.z - massProp.getMeshCentroid().z) > epsilon){ std::cout << __FILE__ << ":" << __LINE__ << " ERROR : Center of mass is incorrect : Expected = " << centerOfMass.x << " " << centerOfMass.y << " " << centerOfMass.z << ", actual = " << massProp.getMeshCentroid().x << " " << massProp.getMeshCentroid().y << " " << massProp.getMeshCentroid().z << std::endl; } if (abs(volume - volumeAndInertia.at(0)) > epsilon){ std::cout << __FILE__ << ":" << __LINE__ << " ERROR : Volume is incorrect : Expected = " << volume << ", actual = " << volumeAndInertia.at(0) << std::endl; } if (abs(inertia - (volumeAndInertia.at(1))) > epsilon || abs(inertia - (volumeAndInertia.at(2))) > epsilon || abs(inertia - (volumeAndInertia.at(3))) > epsilon){ std::cout << __FILE__ << ":" << __LINE__ << " ERROR : Moment of inertia is incorrect : Expected = " << inertia << " " << inertia << " " << inertia << ", actual = " << (volumeAndInertia.at(1)) << " " << (volumeAndInertia.at(2)) << " " << (volumeAndInertia.at(3)) << std::endl; } } void MeshInfoTests::runAllTests(){ testWithTetrahedron(); testWithTetrahedronAsMesh(); testWithUnitCube(); testWithCube(); }