diff options
Diffstat (limited to 'core/math')
-rw-r--r-- | core/math/a_star.cpp | 10 | ||||
-rw-r--r-- | core/math/basis.cpp | 18 | ||||
-rw-r--r-- | core/math/basis.h | 2 | ||||
-rw-r--r-- | core/math/delaunay_3d.h | 3 | ||||
-rw-r--r-- | core/math/dynamic_bvh.cpp | 2 | ||||
-rw-r--r-- | core/math/expression.cpp | 4 | ||||
-rw-r--r-- | core/math/face3.h | 4 | ||||
-rw-r--r-- | core/math/geometry_3d.h | 2 | ||||
-rw-r--r-- | core/math/math_defs.h | 22 | ||||
-rw-r--r-- | core/math/math_funcs.cpp | 10 | ||||
-rw-r--r-- | core/math/math_funcs.h | 1 | ||||
-rw-r--r-- | core/math/quick_hull.cpp | 34 | ||||
-rw-r--r-- | core/math/transform_3d.cpp | 32 | ||||
-rw-r--r-- | core/math/transform_3d.h | 81 | ||||
-rw-r--r-- | core/math/triangle_mesh.cpp | 12 | ||||
-rw-r--r-- | core/math/vector2.h | 8 |
16 files changed, 138 insertions, 107 deletions
diff --git a/core/math/a_star.cpp b/core/math/a_star.cpp index 88e11a630c..322eb7ac61 100644 --- a/core/math/a_star.cpp +++ b/core/math/a_star.cpp @@ -35,18 +35,12 @@ #include "scene/scene_string_names.h" int AStar::get_available_point_id() const { - if (points.is_empty()) { - return 1; - } - - // calculate our new next available point id if bigger than before or next id already contained in set of points. if (points.has(last_free_id)) { - int cur_new_id = last_free_id; + int cur_new_id = last_free_id + 1; while (points.has(cur_new_id)) { cur_new_id++; } - int &non_const = const_cast<int &>(last_free_id); - non_const = cur_new_id; + const_cast<int &>(last_free_id) = cur_new_id; } return last_free_id; diff --git a/core/math/basis.cpp b/core/math/basis.cpp index aa3831d4cf..b5e25fb837 100644 --- a/core/math/basis.cpp +++ b/core/math/basis.cpp @@ -1129,3 +1129,21 @@ void Basis::rotate_sh(real_t *p_values) { p_values[7] = -d3; p_values[8] = d4 * s_scale_dst4; } + +Basis Basis::looking_at(const Vector3 &p_target, const Vector3 &p_up) { +#ifdef MATH_CHECKS + ERR_FAIL_COND_V_MSG(p_target.is_equal_approx(Vector3()), Basis(), "The target vector can't be zero."); + ERR_FAIL_COND_V_MSG(p_up.is_equal_approx(Vector3()), Basis(), "The up vector can't be zero."); +#endif + Vector3 v_z = -p_target.normalized(); + Vector3 v_x = p_up.cross(v_z); +#ifdef MATH_CHECKS + ERR_FAIL_COND_V_MSG(v_x.is_equal_approx(Vector3()), Basis(), "The target vector and up vector can't be parallel to each other."); +#endif + v_x.normalize(); + Vector3 v_y = v_z.cross(v_x); + + Basis basis; + basis.set(v_x, v_y, v_z); + return basis; +} diff --git a/core/math/basis.h b/core/math/basis.h index 2889a4aa5e..3db2227b70 100644 --- a/core/math/basis.h +++ b/core/math/basis.h @@ -242,6 +242,8 @@ public: operator Quaternion() const { return get_quaternion(); } + static Basis looking_at(const Vector3 &p_target, const Vector3 &p_up = Vector3(0, 1, 0)); + Basis(const Quaternion &p_quaternion) { set_quaternion(p_quaternion); }; Basis(const Quaternion &p_quaternion, const Vector3 &p_scale) { set_quaternion_scale(p_quaternion, p_scale); } diff --git a/core/math/delaunay_3d.h b/core/math/delaunay_3d.h index 6f7209556e..81adf4d19a 100644 --- a/core/math/delaunay_3d.h +++ b/core/math/delaunay_3d.h @@ -375,8 +375,7 @@ public: OutputSimplex *ret_simplicesw = ret_simplices.ptrw(); uint32_t simplices_written = 0; - for (List<Simplex *>::Element *E = simplex_list.front(); E; E = E->next()) { - Simplex *simplex = E->get(); + for (Simplex *simplex : simplex_list) { bool invalid = false; for (int j = 0; j < 4; j++) { if (simplex->points[j] >= point_count) { diff --git a/core/math/dynamic_bvh.cpp b/core/math/dynamic_bvh.cpp index 8e596f0f9d..f3fb473981 100644 --- a/core/math/dynamic_bvh.cpp +++ b/core/math/dynamic_bvh.cpp @@ -181,7 +181,7 @@ DynamicBVH::Volume DynamicBVH::_bounds(Node **leaves, int p_count) { void DynamicBVH::_bottom_up(Node **leaves, int p_count) { while (p_count > 1) { - real_t minsize = Math_INF; + real_t minsize = INFINITY; int minidx[2] = { -1, -1 }; for (int i = 0; i < p_count; ++i) { for (int j = i + 1; j < p_count; ++j) { diff --git a/core/math/expression.cpp b/core/math/expression.cpp index 0146c345f0..05f2c8dac9 100644 --- a/core/math/expression.cpp +++ b/core/math/expression.cpp @@ -397,10 +397,10 @@ Error Expression::_get_token(Token &r_token) { r_token.value = Math_TAU; } else if (id == "INF") { r_token.type = TK_CONSTANT; - r_token.value = Math_INF; + r_token.value = INFINITY; } else if (id == "NAN") { r_token.type = TK_CONSTANT; - r_token.value = Math_NAN; + r_token.value = NAN; } else if (id == "not") { r_token.type = TK_OP_NOT; } else if (id == "or") { diff --git a/core/math/face3.h b/core/math/face3.h index 5091b338ef..9e9026e54e 100644 --- a/core/math/face3.h +++ b/core/math/face3.h @@ -50,8 +50,8 @@ public: /** * * @param p_plane plane used to split the face - * @param p_res array of at least 3 faces, amount used in functio return - * @param p_is_point_over array of at least 3 booleans, determining which face is over the plane, amount used in functio return + * @param p_res array of at least 3 faces, amount used in function return + * @param p_is_point_over array of at least 3 booleans, determining which face is over the plane, amount used in function return * @param _epsilon constant used for numerical error rounding, to add "thickness" to the plane (so coplanar points can happen) * @return amount of faces generated by the split, either 0 (means no split possible), 2 or 3 */ diff --git a/core/math/geometry_3d.h b/core/math/geometry_3d.h index 4ef9b4dbe6..766689e222 100644 --- a/core/math/geometry_3d.h +++ b/core/math/geometry_3d.h @@ -40,7 +40,7 @@ class Geometry3D { public: static void get_closest_points_between_segments(const Vector3 &p1, const Vector3 &p2, const Vector3 &q1, const Vector3 &q2, Vector3 &c1, Vector3 &c2) { -// Do the function 'd' as defined by pb. I think is is dot product of some sort. +// Do the function 'd' as defined by pb. I think it's a dot product of some sort. #define d_of(m, n, o, p) ((m.x - n.x) * (o.x - p.x) + (m.y - n.y) * (o.y - p.y) + (m.z - n.z) * (o.z - p.z)) // Calculate the parametric position on the 2 curves, mua and mub. diff --git a/core/math/math_defs.h b/core/math/math_defs.h index df2223fb78..c3a8f910c0 100644 --- a/core/math/math_defs.h +++ b/core/math/math_defs.h @@ -43,8 +43,6 @@ #define Math_TAU 6.2831853071795864769252867666 #define Math_PI 3.1415926535897932384626433833 #define Math_E 2.7182818284590452353602874714 -#define Math_INF INFINITY -#define Math_NAN NAN #ifdef DEBUG_ENABLED #define MATH_CHECKS @@ -83,6 +81,26 @@ enum VAlign { VALIGN_BOTTOM }; +enum InlineAlign { + // Image alignment points. + INLINE_ALIGN_TOP_TO = 0b0000, + INLINE_ALIGN_CENTER_TO = 0b0001, + INLINE_ALIGN_BOTTOM_TO = 0b0010, + INLINE_ALIGN_IMAGE_MASK = 0b0011, + + // Text alignment points. + INLINE_ALIGN_TO_TOP = 0b0000, + INLINE_ALIGN_TO_CENTER = 0b0100, + INLINE_ALIGN_TO_BASELINE = 0b1000, + INLINE_ALIGN_TO_BOTTOM = 0b1100, + INLINE_ALIGN_TEXT_MASK = 0b1100, + + // Presets. + INLINE_ALIGN_TOP = INLINE_ALIGN_TOP_TO | INLINE_ALIGN_TO_TOP, + INLINE_ALIGN_CENTER = INLINE_ALIGN_CENTER_TO | INLINE_ALIGN_TO_CENTER, + INLINE_ALIGN_BOTTOM = INLINE_ALIGN_BOTTOM_TO | INLINE_ALIGN_TO_BOTTOM +}; + enum Side { SIDE_LEFT, SIDE_TOP, diff --git a/core/math/math_funcs.cpp b/core/math/math_funcs.cpp index e92bb9f4aa..bbed257f60 100644 --- a/core/math/math_funcs.cpp +++ b/core/math/math_funcs.cpp @@ -88,16 +88,6 @@ int Math::range_step_decimals(double p_step) { return step_decimals(p_step); } -double Math::dectime(double p_value, double p_amount, double p_step) { - double sgn = p_value < 0 ? -1.0 : 1.0; - double val = Math::abs(p_value); - val -= p_amount * p_step; - if (val < 0.0) { - val = 0.0; - } - return val * sgn; -} - double Math::ease(double p_x, double p_c) { if (p_x < 0) { p_x = 0; diff --git a/core/math/math_funcs.h b/core/math/math_funcs.h index 3389407e72..4e4f566517 100644 --- a/core/math/math_funcs.h +++ b/core/math/math_funcs.h @@ -296,7 +296,6 @@ public: static int step_decimals(double p_step); static int range_step_decimals(double p_step); static double snapped(double p_value, double p_step); - static double dectime(double p_value, double p_amount, double p_step); static uint32_t larger_prime(uint32_t p_val); diff --git a/core/math/quick_hull.cpp b/core/math/quick_hull.cpp index 0d77bfe933..0960fe19a6 100644 --- a/core/math/quick_hull.cpp +++ b/core/math/quick_hull.cpp @@ -192,9 +192,9 @@ Error QuickHull::build(const Vector<Vector3> &p_points, Geometry3D::MeshData &r_ continue; } - for (List<Face>::Element *E = faces.front(); E; E = E->next()) { - if (E->get().plane.distance_to(p_points[i]) > over_tolerance) { - E->get().points_over.push_back(i); + for (Face &E : faces) { + if (E.plane.distance_to(p_points[i]) > over_tolerance) { + E.points_over.push_back(i); break; } } @@ -292,8 +292,8 @@ Error QuickHull::build(const Vector<Vector3> &p_points, Geometry3D::MeshData &r_ //distribute points into new faces - for (List<List<Face>::Element *>::Element *F = lit_faces.front(); F; F = F->next()) { - Face &lf = F->get()->get(); + for (List<Face>::Element *&F : lit_faces) { + Face &lf = F->get(); for (int i = 0; i < lf.points_over.size(); i++) { if (lf.points_over[i] == f.points_over[next]) { //do not add current one @@ -301,8 +301,8 @@ Error QuickHull::build(const Vector<Vector3> &p_points, Geometry3D::MeshData &r_ } Vector3 p = p_points[lf.points_over[i]]; - for (List<List<Face>::Element *>::Element *E = new_faces.front(); E; E = E->next()) { - Face &f2 = E->get()->get(); + for (List<Face>::Element *&E : new_faces) { + Face &f2 = E->get(); if (f2.plane.distance_to(p) > over_tolerance) { f2.points_over.push_back(lf.points_over[i]); break; @@ -320,10 +320,10 @@ Error QuickHull::build(const Vector<Vector3> &p_points, Geometry3D::MeshData &r_ //put faces that contain no points on the front - for (List<List<Face>::Element *>::Element *E = new_faces.front(); E; E = E->next()) { - Face &f2 = E->get()->get(); + for (List<Face>::Element *&E : new_faces) { + Face &f2 = E->get(); if (f2.points_over.size() == 0) { - faces.move_to_front(E->get()); + faces.move_to_front(E); } } @@ -336,19 +336,19 @@ Error QuickHull::build(const Vector<Vector3> &p_points, Geometry3D::MeshData &r_ Map<Edge, RetFaceConnect> ret_edges; List<Geometry3D::MeshData::Face> ret_faces; - for (List<Face>::Element *E = faces.front(); E; E = E->next()) { + for (const Face &E : faces) { Geometry3D::MeshData::Face f; - f.plane = E->get().plane; + f.plane = E.plane; for (int i = 0; i < 3; i++) { - f.indices.push_back(E->get().vertices[i]); + f.indices.push_back(E.vertices[i]); } List<Geometry3D::MeshData::Face>::Element *F = ret_faces.push_back(f); for (int i = 0; i < 3; i++) { - uint32_t a = E->get().vertices[i]; - uint32_t b = E->get().vertices[(i + 1) % 3]; + uint32_t a = E.vertices[i]; + uint32_t b = E.vertices[(i + 1) % 3]; Edge e(a, b); Map<Edge, RetFaceConnect>::Element *G = ret_edges.find(e); @@ -439,8 +439,8 @@ Error QuickHull::build(const Vector<Vector3> &p_points, Geometry3D::MeshData &r_ r_mesh.faces.resize(ret_faces.size()); int idx = 0; - for (List<Geometry3D::MeshData::Face>::Element *E = ret_faces.front(); E; E = E->next()) { - r_mesh.faces.write[idx++] = E->get(); + for (const Geometry3D::MeshData::Face &E : ret_faces) { + r_mesh.faces.write[idx++] = E; } r_mesh.edges.resize(ret_edges.size()); idx = 0; diff --git a/core/math/transform_3d.cpp b/core/math/transform_3d.cpp index 51766b39f4..4f4943c8ef 100644 --- a/core/math/transform_3d.cpp +++ b/core/math/transform_3d.cpp @@ -71,40 +71,12 @@ void Transform3D::rotate_basis(const Vector3 &p_axis, real_t p_phi) { Transform3D Transform3D::looking_at(const Vector3 &p_target, const Vector3 &p_up) const { Transform3D t = *this; - t.set_look_at(origin, p_target, p_up); + t.basis = Basis::looking_at(p_target - origin, p_up); return t; } void Transform3D::set_look_at(const Vector3 &p_eye, const Vector3 &p_target, const Vector3 &p_up) { -#ifdef MATH_CHECKS - ERR_FAIL_COND(p_eye == p_target); - ERR_FAIL_COND(p_up.length() == 0); -#endif - // Reference: MESA source code - Vector3 v_x, v_y, v_z; - - /* Make rotation matrix */ - - /* Z vector */ - v_z = p_eye - p_target; - - v_z.normalize(); - - v_y = p_up; - - v_x = v_y.cross(v_z); -#ifdef MATH_CHECKS - ERR_FAIL_COND(v_x.length() == 0); -#endif - - /* Recompute Y = Z cross X */ - v_y = v_z.cross(v_x); - - v_x.normalize(); - v_y.normalize(); - - basis.set(v_x, v_y, v_z); - + basis = Basis::looking_at(p_target - p_eye, p_up); origin = p_eye; } diff --git a/core/math/transform_3d.h b/core/math/transform_3d.h index 3d8e70cec7..cadfdc13d1 100644 --- a/core/math/transform_3d.h +++ b/core/math/transform_3d.h @@ -75,16 +75,24 @@ public: bool operator!=(const Transform3D &p_transform) const; _FORCE_INLINE_ Vector3 xform(const Vector3 &p_vector) const; + _FORCE_INLINE_ AABB xform(const AABB &p_aabb) const; + _FORCE_INLINE_ Vector<Vector3> xform(const Vector<Vector3> &p_array) const; + + // NOTE: These are UNSAFE with non-uniform scaling, and will produce incorrect results. + // They use the transpose. + // For safe inverse transforms, xform by the affine_inverse. _FORCE_INLINE_ Vector3 xform_inv(const Vector3 &p_vector) const; + _FORCE_INLINE_ AABB xform_inv(const AABB &p_aabb) const; + _FORCE_INLINE_ Vector<Vector3> xform_inv(const Vector<Vector3> &p_array) const; + // Safe with non-uniform scaling (uses affine_inverse). _FORCE_INLINE_ Plane xform(const Plane &p_plane) const; _FORCE_INLINE_ Plane xform_inv(const Plane &p_plane) const; - _FORCE_INLINE_ AABB xform(const AABB &p_aabb) const; - _FORCE_INLINE_ AABB xform_inv(const AABB &p_aabb) const; - - _FORCE_INLINE_ Vector<Vector3> xform(const Vector<Vector3> &p_array) const; - _FORCE_INLINE_ Vector<Vector3> xform_inv(const Vector<Vector3> &p_array) const; + // These fast versions use precomputed affine inverse, and should be used in bottleneck areas where + // multiple planes are to be transformed. + _FORCE_INLINE_ Plane xform_fast(const Plane &p_plane, const Basis &p_basis_inverse_transpose) const; + static _FORCE_INLINE_ Plane xform_inv_fast(const Plane &p_plane, const Transform3D &p_inverse, const Basis &p_basis_transpose); void operator*=(const Transform3D &p_transform); Transform3D operator*(const Transform3D &p_transform) const; @@ -130,30 +138,20 @@ _FORCE_INLINE_ Vector3 Transform3D::xform_inv(const Vector3 &p_vector) const { (basis.elements[0][2] * v.x) + (basis.elements[1][2] * v.y) + (basis.elements[2][2] * v.z)); } +// Neither the plane regular xform or xform_inv are particularly efficient, +// as they do a basis inverse. For xforming a large number +// of planes it is better to pre-calculate the inverse transpose basis once +// and reuse it for each plane, by using the 'fast' version of the functions. _FORCE_INLINE_ Plane Transform3D::xform(const Plane &p_plane) const { - Vector3 point = p_plane.normal * p_plane.d; - Vector3 point_dir = point + p_plane.normal; - point = xform(point); - point_dir = xform(point_dir); - - Vector3 normal = point_dir - point; - normal.normalize(); - real_t d = normal.dot(point); - - return Plane(normal, d); + Basis b = basis.inverse(); + b.transpose(); + return xform_fast(p_plane, b); } _FORCE_INLINE_ Plane Transform3D::xform_inv(const Plane &p_plane) const { - Vector3 point = p_plane.normal * p_plane.d; - Vector3 point_dir = point + p_plane.normal; - point = xform_inv(point); - point_dir = xform_inv(point_dir); - - Vector3 normal = point_dir - point; - normal.normalize(); - real_t d = normal.dot(point); - - return Plane(normal, d); + Transform3D inv = affine_inverse(); + Basis basis_transpose = basis.transposed(); + return xform_inv_fast(p_plane, inv, basis_transpose); } _FORCE_INLINE_ AABB Transform3D::xform(const AABB &p_aabb) const { @@ -231,4 +229,37 @@ Vector<Vector3> Transform3D::xform_inv(const Vector<Vector3> &p_array) const { return array; } +_FORCE_INLINE_ Plane Transform3D::xform_fast(const Plane &p_plane, const Basis &p_basis_inverse_transpose) const { + // Transform a single point on the plane. + Vector3 point = p_plane.normal * p_plane.d; + point = xform(point); + + // Use inverse transpose for correct normals with non-uniform scaling. + Vector3 normal = p_basis_inverse_transpose.xform(p_plane.normal); + normal.normalize(); + + real_t d = normal.dot(point); + return Plane(normal, d); +} + +_FORCE_INLINE_ Plane Transform3D::xform_inv_fast(const Plane &p_plane, const Transform3D &p_inverse, const Basis &p_basis_transpose) { + // Transform a single point on the plane. + Vector3 point = p_plane.normal * p_plane.d; + point = p_inverse.xform(point); + + // Note that instead of precalculating the transpose, an alternative + // would be to use the transpose for the basis transform. + // However that would be less SIMD friendly (requiring a swizzle). + // So the cost is one extra precalced value in the calling code. + // This is probably worth it, as this could be used in bottleneck areas. And + // where it is not a bottleneck, the non-fast method is fine. + + // Use transpose for correct normals with non-uniform scaling. + Vector3 normal = p_basis_transpose.xform(p_plane.normal); + normal.normalize(); + + real_t d = normal.dot(point); + return Plane(normal, d); +} + #endif // TRANSFORM_H diff --git a/core/math/triangle_mesh.cpp b/core/math/triangle_mesh.cpp index 903d5951a8..bf06c848c5 100644 --- a/core/math/triangle_mesh.cpp +++ b/core/math/triangle_mesh.cpp @@ -32,9 +32,9 @@ #include "core/templates/sort_array.h" -int TriangleMesh::_create_bvh(BVH *p_bvh, BVH **p_bb, int p_from, int p_size, int p_depth, int &max_depth, int &max_alloc) { - if (p_depth > max_depth) { - max_depth = p_depth; +int TriangleMesh::_create_bvh(BVH *p_bvh, BVH **p_bb, int p_from, int p_size, int p_depth, int &r_max_depth, int &r_max_alloc) { + if (p_depth > r_max_depth) { + r_max_depth = p_depth; } if (p_size == 1) { @@ -70,10 +70,10 @@ int TriangleMesh::_create_bvh(BVH *p_bvh, BVH **p_bb, int p_from, int p_size, in } break; } - int left = _create_bvh(p_bvh, p_bb, p_from, p_size / 2, p_depth + 1, max_depth, max_alloc); - int right = _create_bvh(p_bvh, p_bb, p_from + p_size / 2, p_size - p_size / 2, p_depth + 1, max_depth, max_alloc); + int left = _create_bvh(p_bvh, p_bb, p_from, p_size / 2, p_depth + 1, r_max_depth, r_max_alloc); + int right = _create_bvh(p_bvh, p_bb, p_from + p_size / 2, p_size - p_size / 2, p_depth + 1, r_max_depth, r_max_alloc); - int index = max_alloc++; + int index = r_max_alloc++; BVH *_new = &p_bvh[index]; _new->aabb = aabb; _new->center = aabb.position + aabb.size * 0.5; diff --git a/core/math/vector2.h b/core/math/vector2.h index 78deb473b4..4d9f3126e9 100644 --- a/core/math/vector2.h +++ b/core/math/vector2.h @@ -300,6 +300,14 @@ struct Vector2i { return p_idx ? y : x; } + _FORCE_INLINE_ int min_axis() const { + return x < y ? 0 : 1; + } + + _FORCE_INLINE_ int max_axis() const { + return x < y ? 1 : 0; + } + Vector2i min(const Vector2i &p_vector2i) const { return Vector2(MIN(x, p_vector2i.x), MIN(y, p_vector2i.y)); } |