#include "omath/collision/epa_algorithm.hpp" // Epa + GjkAlgorithmWithSimplex #include "omath/collision/gjk_algorithm.hpp" #include "omath/collision/simplex.hpp" #include "omath/engines/source_engine/collider.hpp" #include "omath/engines/source_engine/mesh.hpp" #include "omath/linear_algebra/vector3.hpp" #include #include using Mesh = omath::source_engine::Mesh; using Collider = omath::source_engine::MeshCollider; using GJK = omath::collision::GjkAlgorithm; using EPA = omath::collision::Epa; TEST(UnitTestEpa, TestCollisionTrue) { // Unit cube [-1,1]^3 std::vector> vbo = { { {-1.f, -1.f, -1.f}, {}, {} }, { {-1.f, -1.f, 1.f}, {}, {} }, { {-1.f, 1.f, -1.f}, {}, {} }, { {-1.f, 1.f, 1.f}, {}, {} }, { { 1.f, 1.f, 1.f}, {}, {} }, { { 1.f, 1.f, -1.f}, {}, {} }, { { 1.f, -1.f, 1.f}, {}, {} }, { { 1.f, -1.f, -1.f}, {}, {} } }; std::vector> vao; // not needed Mesh a(vbo, vao, {1, 1, 1}); Mesh b(vbo, vao, {1, 1, 1}); // Overlap along +X by 0.5 a.set_origin({0, 0, 0}); b.set_origin({0.5f, 0, 0}); Collider A(a), B(b); // GJK auto gjk = GJK::is_collide_with_simplex_info(A, B); ASSERT_TRUE(gjk.hit) << "GJK should report collision"; // EPA EPA::Params params; auto pool = std::make_shared(1024); params.max_iterations = 64; params.tolerance = 1e-4f; auto epa = EPA::solve(A, B, gjk.simplex, params, *pool); ASSERT_TRUE(epa.has_value()) << "EPA should converge"; // Normal is unit EXPECT_NEAR(epa->normal.dot(epa->normal), 1.0f, 1e-5f); // For this setup, depth ≈ 1.5 (2 - 0.5) EXPECT_NEAR(epa->depth, 1.5f, 1e-3f); // Normal axis sanity: near X axis EXPECT_NEAR(std::abs(epa->normal.x), 1.0f, 1e-3f); EXPECT_NEAR(epa->normal.y, 0.0f, 1e-3f); EXPECT_NEAR(epa->normal.z, 0.0f, 1e-3f); // Try both signs with a tiny margin (avoid grazing contacts) const float margin = 1.0f + 1e-3f; const auto pen = epa->penetration_vector; Mesh b_plus = b; b_plus.set_origin(b_plus.get_origin() + pen * margin); Mesh b_minus = b; b_minus.set_origin(b_minus.get_origin() - pen * margin); Collider B_plus(b_plus), B_minus(b_minus); const bool sep_plus = !GJK::is_collide_with_simplex_info(A, B_plus).hit; const bool sep_minus = !GJK::is_collide_with_simplex_info(A, B_minus).hit; // Exactly one direction should separate EXPECT_NE(sep_plus, sep_minus) << "Exactly one of ±penetration must separate"; // Optional: pick the resolving direction and assert round-trip const auto resolve = sep_plus ? (pen * margin) : (-pen * margin); Mesh b_resolved = b; b_resolved.set_origin(b_resolved.get_origin() + resolve); EXPECT_FALSE(GJK::is_collide(A, Collider(b_resolved))) << "Resolved position should be non-colliding"; // Moving the other way should still collide Mesh b_wrong = b; b_wrong.set_origin(b_wrong.get_origin() - resolve); EXPECT_TRUE(GJK::is_collide(A, Collider(b_wrong))); } TEST(UnitTestEpa, TestCollisionTrue2) { std::vector> vbo = { { { -1.f, -1.f, -1.f }, {}, {} }, { { -1.f, -1.f, 1.f }, {}, {} }, { { -1.f, 1.f, -1.f }, {}, {} }, { { -1.f, 1.f, 1.f }, {}, {} }, { { 1.f, 1.f, 1.f }, {}, {} }, { { 1.f, 1.f, -1.f }, {}, {} }, { { 1.f, -1.f, 1.f }, {}, {} }, { { 1.f, -1.f, -1.f }, {}, {} } }; std::vector> vao; // not needed Mesh a(vbo, vao, {1, 1, 1}); Mesh b(vbo, vao, {1, 1, 1}); // Overlap along +X by 0.5 a.set_origin({0, 0, 0}); b.set_origin({0.5f, 0, 0}); Collider A(a), B(b); // --- GJK must detect collision and provide simplex --- auto gjk = GJK::is_collide_with_simplex_info(A, B); ASSERT_TRUE(gjk.hit) << "GJK should report collision for overlapping cubes"; // --- EPA penetration --- EPA::Params params; params.max_iterations = 64; params.tolerance = 1e-4f; auto pool = std::make_shared(1024); auto epa = EPA::solve(A, B, gjk.simplex, params, *pool); ASSERT_TRUE(epa.has_value()) << "EPA should converge"; // Normal is unit-length EXPECT_NEAR(epa->normal.dot(epa->normal), 1.0f, 1e-5f); // For centers at 0 and +0.5 and half-extent 1 -> depth ≈ 1.5 EXPECT_NEAR(epa->depth, 1.5f, 1e-3f); // Axis sanity: mostly X EXPECT_NEAR(std::abs(epa->normal.x), 1.0f, 1e-3f); EXPECT_NEAR(epa->normal.y, 0.0f, 1e-3f); EXPECT_NEAR(epa->normal.z, 0.0f, 1e-3f); constexpr float margin = 1.0f + 1e-3f; // tiny slack to avoid grazing const auto pen = epa->normal * epa->depth; // Apply once: B + pen must separate; the opposite must still collide Mesh b_resolved = b; b_resolved.set_origin(b_resolved.get_origin() + pen * margin); EXPECT_FALSE(GJK::is_collide(A, Collider(b_resolved))) << "Applying penetration should separate"; Mesh b_wrong = b; b_wrong.set_origin(b_wrong.get_origin() - pen * margin); EXPECT_TRUE(GJK::is_collide(A, Collider(b_wrong))) << "Opposite direction should still intersect"; // Some book-keeping sanity EXPECT_GT(epa->iterations, 0); EXPECT_LT(epa->iterations, params.max_iterations); EXPECT_GE(epa->num_faces, 4); EXPECT_GT(epa->num_vertices, 4); }