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Merge pull request #105 from orange-cpp/feature/epa_improvement
Feature/epa improvement
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@@ -29,8 +29,8 @@ namespace omath::collision
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struct Result final
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{
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bool success{false};
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Vertex normal{}; // outward normal (from B to A)
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Vertex penetration_vector;
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float depth{0.0f};
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int iterations{0};
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int num_vertices{0};
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@@ -45,7 +45,7 @@ namespace omath::collision
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// Precondition: simplex.size()==4 and contains the origin.
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[[nodiscard]]
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static Result solve(const ColliderType& a, const ColliderType& b, const Simplex<Vertex>& simplex,
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static std::optional<Result> solve(const ColliderType& a, const ColliderType& b, const Simplex<Vertex>& simplex,
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const Params params = {})
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{
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// --- Build initial polytope from simplex (4 points) ---
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@@ -90,12 +90,16 @@ namespace omath::collision
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// Converged if we can’t push the face closer than tolerance
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if (p_dist - f.d <= params.tolerance)
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{
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out.success = true;
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out.normal = f.n;
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out.depth = f.d; // along unit normal
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out.iterations = it + 1;
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out.num_vertices = static_cast<int>(vertexes.size());
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out.num_faces = static_cast<int>(faces.size());
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const auto centers = b.get_origin() - a.get_origin();
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const auto sign = out.normal.dot(centers) >= 0 ? 1 : -1;
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out.penetration_vector = out.normal * out.depth * sign;
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return out;
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}
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@@ -149,14 +153,20 @@ namespace omath::collision
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for (const auto& f : faces)
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if (f.d < best.d)
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best = f;
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out.success = true;
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out.normal = best.n;
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out.depth = best.d;
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out.num_vertices = static_cast<int>(vertexes.size());
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out.num_faces = static_cast<int>(faces.size());
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}
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const auto centers = b.get_origin() - a.get_origin();
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const auto sign = out.normal.dot(centers) >= 0 ? 1 : -1;
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out.penetration_vector = out.normal * out.depth * sign;
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return out;
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}
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return std::nullopt;
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}
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private:
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struct Face final
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@@ -31,6 +31,11 @@ namespace omath::collision
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return m_mesh.vertex_to_world_space(find_furthest_vertex(direction));
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}
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[[nodiscard]]
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const VertexType& get_origin() const
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{
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return m_mesh.get_origin();
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}
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private:
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MeshType m_mesh;
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};
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@@ -36,22 +36,22 @@ TEST(UnitTestEpa, TestCollisionTrue)
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params.max_iterations = 64;
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params.tolerance = 1e-4f;
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auto epa = EPA::solve(A, B, gjk.simplex, params);
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ASSERT_TRUE(epa.success) << "EPA should converge";
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ASSERT_TRUE(epa.has_value()) << "EPA should converge";
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// Normal is unit
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EXPECT_NEAR(epa.normal.dot(epa.normal), 1.0f, 1e-5f);
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EXPECT_NEAR(epa->normal.dot(epa->normal), 1.0f, 1e-5f);
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// For this setup, depth ≈ 1.5 (2 - 0.5)
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EXPECT_NEAR(epa.depth, 1.5f, 1e-3f);
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EXPECT_NEAR(epa->depth, 1.5f, 1e-3f);
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// Normal axis sanity: near X axis
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EXPECT_NEAR(std::abs(epa.normal.x), 1.0f, 1e-3f);
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EXPECT_NEAR(epa.normal.y, 0.0f, 1e-3f);
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EXPECT_NEAR(epa.normal.z, 0.0f, 1e-3f);
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EXPECT_NEAR(std::abs(epa->normal.x), 1.0f, 1e-3f);
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EXPECT_NEAR(epa->normal.y, 0.0f, 1e-3f);
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EXPECT_NEAR(epa->normal.z, 0.0f, 1e-3f);
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// Try both signs with a tiny margin (avoid grazing contacts)
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const float margin = 1.0f + 1e-3f;
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const auto pen = epa.normal * epa.depth;
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const auto pen = epa->normal * epa->depth;
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Mesh b_plus = b;
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b_plus.set_origin(b_plus.get_origin() + pen * margin);
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@@ -102,25 +102,25 @@ TEST(UnitTestEpa, TestCollisionTrue2)
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params.max_iterations = 64;
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params.tolerance = 1e-4f;
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auto epa = EPA::solve(A, B, gjk.simplex, params);
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ASSERT_TRUE(epa.success) << "EPA should converge";
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ASSERT_TRUE(epa.has_value()) << "EPA should converge";
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// Normal is unit-length
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EXPECT_NEAR(epa.normal.dot(epa.normal), 1.0f, 1e-5f);
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EXPECT_NEAR(epa->normal.dot(epa->normal), 1.0f, 1e-5f);
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// For centers at 0 and +0.5 and half-extent 1 -> depth ≈ 1.5
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EXPECT_NEAR(epa.depth, 1.5f, 1e-3f);
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EXPECT_NEAR(epa->depth, 1.5f, 1e-3f);
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// Axis sanity: mostly X
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EXPECT_NEAR(std::abs(epa.normal.x), 1.0f, 1e-3f);
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EXPECT_NEAR(epa.normal.y, 0.0f, 1e-3f);
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EXPECT_NEAR(epa.normal.z, 0.0f, 1e-3f);
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EXPECT_NEAR(std::abs(epa->normal.x), 1.0f, 1e-3f);
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EXPECT_NEAR(epa->normal.y, 0.0f, 1e-3f);
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EXPECT_NEAR(epa->normal.z, 0.0f, 1e-3f);
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// Choose a deterministic sign: orient penetration from A toward B
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const auto centers = b.get_origin() - a.get_origin(); // (0.5, 0, 0)
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float sign = (epa.normal.dot(centers) >= 0.0f) ? +1.0f : -1.0f;
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float sign = (epa->normal.dot(centers) >= 0.0f) ? +1.0f : -1.0f;
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constexpr float margin = 1.0f + 1e-3f; // tiny slack to avoid grazing
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const auto pen = epa.normal * epa.depth * sign;
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const auto pen = epa->normal * epa->depth * sign;
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// Apply once: B + pen must separate; the opposite must still collide
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Mesh b_resolved = b;
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@@ -132,8 +132,8 @@ TEST(UnitTestEpa, TestCollisionTrue2)
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EXPECT_TRUE(GJK::is_collide(A, Collider(b_wrong))) << "Opposite direction should still intersect";
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// Some book-keeping sanity
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EXPECT_GT(epa.iterations, 0);
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EXPECT_LT(epa.iterations, params.max_iterations);
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EXPECT_GE(epa.num_faces, 4);
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EXPECT_GT(epa.num_vertices, 4);
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EXPECT_GT(epa->iterations, 0);
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EXPECT_LT(epa->iterations, params.max_iterations);
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EXPECT_GE(epa->num_faces, 4);
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EXPECT_GT(epa->num_vertices, 4);
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}
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