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-rw-r--r--core/math/a_star.cpp10
-rw-r--r--core/math/basis.cpp18
-rw-r--r--core/math/basis.h2
-rw-r--r--core/math/delaunay_3d.h3
-rw-r--r--core/math/dynamic_bvh.cpp2
-rw-r--r--core/math/expression.cpp4
-rw-r--r--core/math/face3.h4
-rw-r--r--core/math/geometry_3d.h2
-rw-r--r--core/math/math_defs.h22
-rw-r--r--core/math/math_funcs.cpp10
-rw-r--r--core/math/math_funcs.h1
-rw-r--r--core/math/quick_hull.cpp34
-rw-r--r--core/math/transform_3d.cpp32
-rw-r--r--core/math/transform_3d.h81
-rw-r--r--core/math/triangle_mesh.cpp12
-rw-r--r--core/math/vector2.h8
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));
}