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-rw-r--r--core/math/a_star.cpp22
-rw-r--r--core/math/a_star.h4
-rw-r--r--core/math/audio_frame.h9
-rw-r--r--core/math/basis.cpp4
-rw-r--r--core/math/basis.h4
-rw-r--r--core/math/camera_matrix.cpp8
-rw-r--r--core/math/camera_matrix.h1
-rw-r--r--core/math/delaunay.h4
-rw-r--r--core/math/expression.cpp14
-rw-r--r--core/math/expression.h1
-rw-r--r--core/math/geometry.cpp2
-rw-r--r--core/math/geometry.h10
-rw-r--r--core/math/math_funcs.h30
-rw-r--r--core/math/plane.cpp4
-rw-r--r--core/math/plane.h4
-rw-r--r--core/math/transform_2d.cpp2
-rw-r--r--core/math/transform_2d.h2
-rw-r--r--core/math/vector2.h16
-rw-r--r--core/math/vector3.h30
19 files changed, 130 insertions, 41 deletions
diff --git a/core/math/a_star.cpp b/core/math/a_star.cpp
index 6c3b84d49a..e1388ad2ac 100644
--- a/core/math/a_star.cpp
+++ b/core/math/a_star.cpp
@@ -55,6 +55,7 @@ void AStar::add_point(int p_id, const Vector3 &p_pos, real_t p_weight_scale) {
pt->weight_scale = p_weight_scale;
pt->prev_point = NULL;
pt->last_pass = 0;
+ pt->enabled = true;
points[p_id] = pt;
} else {
points[p_id]->pos = p_pos;
@@ -242,6 +243,9 @@ bool AStar::_solve(Point *begin_point, Point *end_point) {
pass++;
+ if (!end_point->enabled)
+ return false;
+
SelfList<Point>::List open_list;
bool found_route = false;
@@ -249,6 +253,10 @@ bool AStar::_solve(Point *begin_point, Point *end_point) {
for (Set<Point *>::Element *E = begin_point->neighbours.front(); E; E = E->next()) {
Point *n = E->get();
+
+ if (!n->enabled)
+ continue;
+
n->prev_point = begin_point;
n->distance = _compute_cost(begin_point->id, n->id) * n->weight_scale;
n->last_pass = pass;
@@ -290,6 +298,9 @@ bool AStar::_solve(Point *begin_point, Point *end_point) {
Point *e = E->get();
+ if (!e->enabled)
+ continue;
+
real_t distance = _compute_cost(p->id, e->id) * e->weight_scale + p->distance;
if (e->last_pass == pass) {
@@ -438,6 +449,14 @@ PoolVector<int> AStar::get_id_path(int p_from_id, int p_to_id) {
return path;
}
+void AStar::set_point_disabled(int p_id, bool p_disabled) {
+ points[p_id]->enabled = !p_disabled;
+}
+
+bool AStar::is_point_disabled(int p_id) const {
+ return !points[p_id]->enabled;
+}
+
void AStar::_bind_methods() {
ClassDB::bind_method(D_METHOD("get_available_point_id"), &AStar::get_available_point_id);
@@ -450,6 +469,9 @@ void AStar::_bind_methods() {
ClassDB::bind_method(D_METHOD("has_point", "id"), &AStar::has_point);
ClassDB::bind_method(D_METHOD("get_points"), &AStar::get_points);
+ ClassDB::bind_method(D_METHOD("set_point_disabled", "id", "disabled"), &AStar::set_point_disabled, DEFVAL(true));
+ ClassDB::bind_method(D_METHOD("is_point_disabled", "id"), &AStar::is_point_disabled);
+
ClassDB::bind_method(D_METHOD("get_point_connections", "id"), &AStar::get_point_connections);
ClassDB::bind_method(D_METHOD("connect_points", "id", "to_id", "bidirectional"), &AStar::connect_points, DEFVAL(true));
diff --git a/core/math/a_star.h b/core/math/a_star.h
index d094bc4863..c63e1aa4dc 100644
--- a/core/math/a_star.h
+++ b/core/math/a_star.h
@@ -54,6 +54,7 @@ class AStar : public Reference {
Vector3 pos;
real_t weight_scale;
uint64_t last_pass;
+ bool enabled;
Set<Point *> neighbours;
@@ -114,6 +115,9 @@ public:
PoolVector<int> get_point_connections(int p_id);
Array get_points();
+ void set_point_disabled(int p_id, bool p_disabled = true);
+ bool is_point_disabled(int p_id) const;
+
void connect_points(int p_id, int p_with_id, bool bidirectional = true);
void disconnect_points(int p_id, int p_with_id);
bool are_points_connected(int p_id, int p_with_id) const;
diff --git a/core/math/audio_frame.h b/core/math/audio_frame.h
index ebe0356c93..98e4e33021 100644
--- a/core/math/audio_frame.h
+++ b/core/math/audio_frame.h
@@ -31,6 +31,7 @@
#ifndef AUDIOFRAME_H
#define AUDIOFRAME_H
+#include "core/math/vector2.h"
#include "core/typedefs.h"
static inline float undenormalise(volatile float f) {
@@ -128,6 +129,14 @@ struct AudioFrame {
return *this;
}
+ _ALWAYS_INLINE_ operator Vector2() const {
+ return Vector2(l, r);
+ }
+
+ _ALWAYS_INLINE_ AudioFrame(const Vector2 &p_v2) {
+ l = p_v2.x;
+ r = p_v2.y;
+ }
_ALWAYS_INLINE_ AudioFrame() {}
};
diff --git a/core/math/basis.cpp b/core/math/basis.cpp
index 82b2f7006d..9fcecd1ba6 100644
--- a/core/math/basis.cpp
+++ b/core/math/basis.cpp
@@ -557,7 +557,7 @@ void Basis::set_euler_yxz(const Vector3 &p_euler) {
*this = ymat * xmat * zmat;
}
-bool Basis::is_equal_approx(const Basis &a, const Basis &b,real_t p_epsilon) const {
+bool Basis::is_equal_approx(const Basis &a, const Basis &b, real_t p_epsilon) const {
for (int i = 0; i < 3; i++) {
for (int j = 0; j < 3; j++) {
@@ -569,7 +569,7 @@ bool Basis::is_equal_approx(const Basis &a, const Basis &b,real_t p_epsilon) con
return true;
}
-bool Basis::is_equal_approx_ratio(const Basis &a, const Basis &b,real_t p_epsilon) const {
+bool Basis::is_equal_approx_ratio(const Basis &a, const Basis &b, real_t p_epsilon) const {
for (int i = 0; i < 3; i++) {
for (int j = 0; j < 3; j++) {
diff --git a/core/math/basis.h b/core/math/basis.h
index aa0ddb280f..75037c2c52 100644
--- a/core/math/basis.h
+++ b/core/math/basis.h
@@ -133,8 +133,8 @@ public:
return elements[0][2] * v[0] + elements[1][2] * v[1] + elements[2][2] * v[2];
}
- bool is_equal_approx(const Basis &a, const Basis &b, real_t p_epsilon=CMP_EPSILON) const;
- bool is_equal_approx_ratio(const Basis &a, const Basis &b, real_t p_epsilon=UNIT_EPSILON) const;
+ bool is_equal_approx(const Basis &a, const Basis &b, real_t p_epsilon = CMP_EPSILON) const;
+ bool is_equal_approx_ratio(const Basis &a, const Basis &b, real_t p_epsilon = UNIT_EPSILON) const;
bool operator==(const Basis &p_matrix) const;
bool operator!=(const Basis &p_matrix) const;
diff --git a/core/math/camera_matrix.cpp b/core/math/camera_matrix.cpp
index caf08c7379..f615cc8c65 100644
--- a/core/math/camera_matrix.cpp
+++ b/core/math/camera_matrix.cpp
@@ -210,6 +210,14 @@ void CameraMatrix::set_frustum(real_t p_left, real_t p_right, real_t p_bottom, r
te[15] = 0;
}
+void CameraMatrix::set_frustum(real_t p_size, real_t p_aspect, Vector2 p_offset, real_t p_near, real_t p_far, bool p_flip_fov) {
+ if (!p_flip_fov) {
+ p_size *= p_aspect;
+ }
+
+ set_frustum(-p_size / 2 + p_offset.x, +p_size / 2 + p_offset.x, -p_size / p_aspect / 2 + p_offset.y, +p_size / p_aspect / 2 + p_offset.y, p_near, p_far);
+}
+
real_t CameraMatrix::get_z_far() const {
const real_t *matrix = (const real_t *)this->matrix;
diff --git a/core/math/camera_matrix.h b/core/math/camera_matrix.h
index 015588a8cb..3bcf48f5da 100644
--- a/core/math/camera_matrix.h
+++ b/core/math/camera_matrix.h
@@ -61,6 +61,7 @@ struct CameraMatrix {
void set_orthogonal(real_t p_left, real_t p_right, real_t p_bottom, real_t p_top, real_t p_znear, real_t p_zfar);
void set_orthogonal(real_t p_size, real_t p_aspect, real_t p_znear, real_t p_zfar, bool p_flip_fov = false);
void set_frustum(real_t p_left, real_t p_right, real_t p_bottom, real_t p_top, real_t p_near, real_t p_far);
+ void set_frustum(real_t p_size, real_t p_aspect, Vector2 p_offset, real_t p_near, real_t p_far, bool p_flip_fov = false);
static real_t get_fovy(real_t p_fovx, real_t p_aspect) {
diff --git a/core/math/delaunay.h b/core/math/delaunay.h
index bd0cf97937..ed52c506db 100644
--- a/core/math/delaunay.h
+++ b/core/math/delaunay.h
@@ -80,11 +80,11 @@ public:
}
static bool edge_compare(const Vector<Vector2> &p_vertices, const Edge &p_a, const Edge &p_b) {
- if (p_vertices[p_a.edge[0]].distance_to(p_vertices[p_b.edge[0]]) < CMP_EPSILON && p_vertices[p_a.edge[1]].distance_to(p_vertices[p_b.edge[1]]) < CMP_EPSILON) {
+ if (Math::is_zero_approx(p_vertices[p_a.edge[0]].distance_to(p_vertices[p_b.edge[0]])) && Math::is_zero_approx(p_vertices[p_a.edge[1]].distance_to(p_vertices[p_b.edge[1]]))) {
return true;
}
- if (p_vertices[p_a.edge[0]].distance_to(p_vertices[p_b.edge[1]]) < CMP_EPSILON && p_vertices[p_a.edge[1]].distance_to(p_vertices[p_b.edge[0]]) < CMP_EPSILON) {
+ if (Math::is_zero_approx(p_vertices[p_a.edge[0]].distance_to(p_vertices[p_b.edge[1]])) && Math::is_zero_approx(p_vertices[p_a.edge[1]].distance_to(p_vertices[p_b.edge[0]]))) {
return true;
}
diff --git a/core/math/expression.cpp b/core/math/expression.cpp
index 708054e4ab..133dcc7ab9 100644
--- a/core/math/expression.cpp
+++ b/core/math/expression.cpp
@@ -68,6 +68,7 @@ const char *Expression::func_name[Expression::FUNC_MAX] = {
"lerp",
"inverse_lerp",
"range_lerp",
+ "smoothstep",
"dectime",
"randomize",
"randi",
@@ -185,6 +186,7 @@ int Expression::get_func_argument_count(BuiltinFunc p_func) {
return 2;
case MATH_LERP:
case MATH_INVERSE_LERP:
+ case MATH_SMOOTHSTEP:
case MATH_DECTIME:
case MATH_WRAP:
case MATH_WRAPF:
@@ -392,6 +394,12 @@ void Expression::exec_func(BuiltinFunc p_func, const Variant **p_inputs, Variant
VALIDATE_ARG_NUM(4);
*r_return = Math::range_lerp((double)*p_inputs[0], (double)*p_inputs[1], (double)*p_inputs[2], (double)*p_inputs[3], (double)*p_inputs[4]);
} break;
+ case MATH_SMOOTHSTEP: {
+ VALIDATE_ARG_NUM(0);
+ VALIDATE_ARG_NUM(1);
+ VALIDATE_ARG_NUM(2);
+ *r_return = Math::smoothstep((double)*p_inputs[0], (double)*p_inputs[1], (double)*p_inputs[2]);
+ } break;
case MATH_DECTIME: {
VALIDATE_ARG_NUM(0);
@@ -752,7 +760,8 @@ void Expression::exec_func(BuiltinFunc p_func, const Variant **p_inputs, Variant
*r_return = String(color);
} break;
- default: {}
+ default: {
+ }
}
}
@@ -1671,7 +1680,8 @@ Expression::ENode *Expression::_parse_expression() {
case TK_OP_BIT_OR: op = Variant::OP_BIT_OR; break;
case TK_OP_BIT_XOR: op = Variant::OP_BIT_XOR; break;
case TK_OP_BIT_INVERT: op = Variant::OP_BIT_NEGATE; break;
- default: {};
+ default: {
+ };
}
if (op == Variant::OP_MAX) { //stop appending stuff
diff --git a/core/math/expression.h b/core/math/expression.h
index fa0878c93c..f9075cb689 100644
--- a/core/math/expression.h
+++ b/core/math/expression.h
@@ -66,6 +66,7 @@ public:
MATH_LERP,
MATH_INVERSE_LERP,
MATH_RANGE_LERP,
+ MATH_SMOOTHSTEP,
MATH_DECTIME,
MATH_RANDOMIZE,
MATH_RAND,
diff --git a/core/math/geometry.cpp b/core/math/geometry.cpp
index a84b5a16c7..0ab8707d3a 100644
--- a/core/math/geometry.cpp
+++ b/core/math/geometry.cpp
@@ -836,7 +836,7 @@ Geometry::MeshData Geometry::build_convex_mesh(const PoolVector<Plane> &p_planes
Vector3 rel = edge1_A - edge0_A;
real_t den = clip.normal.dot(rel);
- if (Math::abs(den) < CMP_EPSILON)
+ if (Math::is_zero_approx(den))
continue; // point too short
real_t dist = -(clip.normal.dot(edge0_A) - clip.d) / den;
diff --git a/core/math/geometry.h b/core/math/geometry.h
index 7347cb742a..f3a671aa9a 100644
--- a/core/math/geometry.h
+++ b/core/math/geometry.h
@@ -181,8 +181,8 @@ public:
}
}
// finally do the division to get sc and tc
- sc = (Math::abs(sN) < CMP_EPSILON ? 0.0 : sN / sD);
- tc = (Math::abs(tN) < CMP_EPSILON ? 0.0 : tN / tD);
+ sc = (Math::is_zero_approx(sN) ? 0.0 : sN / sD);
+ tc = (Math::is_zero_approx(tN) ? 0.0 : tN / tD);
// get the difference of the two closest points
Vector3 dP = w + (sc * u) - (tc * v); // = S1(sc) - S2(tc)
@@ -195,7 +195,7 @@ public:
Vector3 e2 = p_v2 - p_v0;
Vector3 h = p_dir.cross(e2);
real_t a = e1.dot(h);
- if (a > -CMP_EPSILON && a < CMP_EPSILON) // parallel test
+ if (Math::is_zero_approx(a)) // parallel test
return false;
real_t f = 1.0 / a;
@@ -233,7 +233,7 @@ public:
Vector3 e2 = p_v2 - p_v0;
Vector3 h = rel.cross(e2);
real_t a = e1.dot(h);
- if (a > -CMP_EPSILON && a < CMP_EPSILON) // parallel test
+ if (Math::is_zero_approx(a)) // parallel test
return false;
real_t f = 1.0 / a;
@@ -535,7 +535,7 @@ public:
// see http://paulbourke.net/geometry/pointlineplane/
const real_t denom = p_dir_b.y * p_dir_a.x - p_dir_b.x * p_dir_a.y;
- if (Math::abs(denom) < CMP_EPSILON) { // parallel?
+ if (Math::is_zero_approx(denom)) { // parallel?
return false;
}
diff --git a/core/math/math_funcs.h b/core/math/math_funcs.h
index 6ac6839827..a75f2fb4ab 100644
--- a/core/math/math_funcs.h
+++ b/core/math/math_funcs.h
@@ -208,6 +208,17 @@ public:
static _ALWAYS_INLINE_ double range_lerp(double p_value, double p_istart, double p_istop, double p_ostart, double p_ostop) { return Math::lerp(p_ostart, p_ostop, Math::inverse_lerp(p_istart, p_istop, p_value)); }
static _ALWAYS_INLINE_ float range_lerp(float p_value, float p_istart, float p_istop, float p_ostart, float p_ostop) { return Math::lerp(p_ostart, p_ostop, Math::inverse_lerp(p_istart, p_istop, p_value)); }
+ static _ALWAYS_INLINE_ double smoothstep(double p_from, double p_to, double p_weight) {
+ if (is_equal_approx(p_from, p_to)) return p_from;
+ double x = CLAMP((p_weight - p_from) / (p_to - p_from), 0.0, 1.0);
+ return x * x * (3.0 - 2.0 * x);
+ }
+ static _ALWAYS_INLINE_ float smoothstep(float p_from, float p_to, float p_weight) {
+ if (is_equal_approx(p_from, p_to)) return p_from;
+ float x = CLAMP((p_weight - p_from) / (p_to - p_from), 0.0f, 1.0f);
+ return x * x * (3.0f - 2.0f * x);
+ }
+
static _ALWAYS_INLINE_ double linear2db(double p_linear) { return Math::log(p_linear) * 8.6858896380650365530225783783321; }
static _ALWAYS_INLINE_ float linear2db(float p_linear) { return Math::log(p_linear) * 8.6858896380650365530225783783321; }
@@ -261,13 +272,20 @@ public:
return diff < epsilon;
}
- static _ALWAYS_INLINE_ bool is_equal_approx(real_t a, real_t b, real_t epsilon = CMP_EPSILON) {
- // TODO: Comparing floats for approximate-equality is non-trivial.
- // Using epsilon should cover the typical cases in Godot (where a == b is used to compare two reals), such as matrix and vector comparison operators.
- // A proper implementation in terms of ULPs should eventually replace the contents of this function.
- // See https://randomascii.wordpress.com/2012/02/25/comparing-floating-point-numbers-2012-edition/ for details.
+ static _ALWAYS_INLINE_ bool is_equal_approx(real_t a, real_t b) {
+ real_t tolerance = CMP_EPSILON * abs(a);
+ if (tolerance < CMP_EPSILON) {
+ tolerance = CMP_EPSILON;
+ }
+ return abs(a - b) < tolerance;
+ }
+
+ static _ALWAYS_INLINE_ bool is_equal_approx(real_t a, real_t b, real_t tolerance) {
+ return abs(a - b) < tolerance;
+ }
- return abs(a - b) < epsilon;
+ static _ALWAYS_INLINE_ bool is_zero_approx(real_t s) {
+ return abs(s) < CMP_EPSILON;
}
static _ALWAYS_INLINE_ float absf(float g) {
diff --git a/core/math/plane.cpp b/core/math/plane.cpp
index cd3cbce300..b01853c4ac 100644
--- a/core/math/plane.cpp
+++ b/core/math/plane.cpp
@@ -110,7 +110,7 @@ bool Plane::intersects_ray(const Vector3 &p_from, const Vector3 &p_dir, Vector3
real_t den = normal.dot(segment);
//printf("den is %i\n",den);
- if (Math::abs(den) <= CMP_EPSILON) {
+ if (Math::is_zero_approx(den)) {
return false;
}
@@ -135,7 +135,7 @@ bool Plane::intersects_segment(const Vector3 &p_begin, const Vector3 &p_end, Vec
real_t den = normal.dot(segment);
//printf("den is %i\n",den);
- if (Math::abs(den) <= CMP_EPSILON) {
+ if (Math::is_zero_approx(den)) {
return false;
}
diff --git a/core/math/plane.h b/core/math/plane.h
index 1c6e4b816b..ec817edd2c 100644
--- a/core/math/plane.h
+++ b/core/math/plane.h
@@ -125,12 +125,12 @@ Plane::Plane(const Vector3 &p_point1, const Vector3 &p_point2, const Vector3 &p_
bool Plane::operator==(const Plane &p_plane) const {
- return normal == p_plane.normal && d == p_plane.d;
+ return normal == p_plane.normal && Math::is_equal_approx(d, p_plane.d);
}
bool Plane::operator!=(const Plane &p_plane) const {
- return normal != p_plane.normal || d != p_plane.d;
+ return normal != p_plane.normal || !Math::is_equal_approx(d, p_plane.d);
}
#endif // PLANE_H
diff --git a/core/math/transform_2d.cpp b/core/math/transform_2d.cpp
index 7d00158f3d..1d0387bd45 100644
--- a/core/math/transform_2d.cpp
+++ b/core/math/transform_2d.cpp
@@ -106,7 +106,7 @@ Size2 Transform2D::get_scale() const {
return Size2(elements[0].length(), det_sign * elements[1].length());
}
-void Transform2D::set_scale(Size2 &p_scale) {
+void Transform2D::set_scale(const Size2 &p_scale) {
elements[0].normalize();
elements[1].normalize();
elements[0] *= p_scale.x;
diff --git a/core/math/transform_2d.h b/core/math/transform_2d.h
index b9e7a36fb3..c44678674a 100644
--- a/core/math/transform_2d.h
+++ b/core/math/transform_2d.h
@@ -81,7 +81,7 @@ struct Transform2D {
real_t basis_determinant() const;
Size2 get_scale() const;
- void set_scale(Size2 &p_scale);
+ void set_scale(const Size2 &p_scale);
_FORCE_INLINE_ const Vector2 &get_origin() const { return elements[2]; }
_FORCE_INLINE_ void set_origin(const Vector2 &p_origin) { elements[2] = p_origin; }
diff --git a/core/math/vector2.h b/core/math/vector2.h
index a20326f667..a0c6024c9f 100644
--- a/core/math/vector2.h
+++ b/core/math/vector2.h
@@ -65,6 +65,7 @@ struct Vector2 {
real_t distance_squared_to(const Vector2 &p_vector2) const;
real_t angle_to(const Vector2 &p_vector2) const;
real_t angle_to_point(const Vector2 &p_vector2) const;
+ _FORCE_INLINE_ Vector2 direction_to(const Vector2 &p_b) const;
real_t dot(const Vector2 &p_other) const;
real_t cross(const Vector2 &p_other) const;
@@ -98,14 +99,15 @@ struct Vector2 {
Vector2 operator/(const real_t &rvalue) const;
void operator/=(const real_t &rvalue);
+ void operator/=(const Vector2 &rvalue) { *this = *this / rvalue; }
Vector2 operator-() const;
bool operator==(const Vector2 &p_vec2) const;
bool operator!=(const Vector2 &p_vec2) const;
- bool operator<(const Vector2 &p_vec2) const { return (x == p_vec2.x) ? (y < p_vec2.y) : (x < p_vec2.x); }
- bool operator<=(const Vector2 &p_vec2) const { return (x == p_vec2.x) ? (y <= p_vec2.y) : (x <= p_vec2.x); }
+ bool operator<(const Vector2 &p_vec2) const { return (Math::is_equal_approx(x, p_vec2.x)) ? (y < p_vec2.y) : (x < p_vec2.x); }
+ bool operator<=(const Vector2 &p_vec2) const { return (Math::is_equal_approx(x, p_vec2.x)) ? (y <= p_vec2.y) : (x < p_vec2.x); }
real_t angle() const;
@@ -211,11 +213,11 @@ _FORCE_INLINE_ Vector2 Vector2::operator-() const {
_FORCE_INLINE_ bool Vector2::operator==(const Vector2 &p_vec2) const {
- return x == p_vec2.x && y == p_vec2.y;
+ return Math::is_equal_approx(x, p_vec2.x) && Math::is_equal_approx(y, p_vec2.y);
}
_FORCE_INLINE_ bool Vector2::operator!=(const Vector2 &p_vec2) const {
- return x != p_vec2.x || y != p_vec2.y;
+ return !Math::is_equal_approx(x, p_vec2.x) || !Math::is_equal_approx(y, p_vec2.y);
}
Vector2 Vector2::linear_interpolate(const Vector2 &p_b, real_t p_t) const {
@@ -236,6 +238,12 @@ Vector2 Vector2::slerp(const Vector2 &p_b, real_t p_t) const {
return rotated(theta * p_t);
}
+Vector2 Vector2::direction_to(const Vector2 &p_b) const {
+ Vector2 ret(p_b.x - x, p_b.y - y);
+ ret.normalize();
+ return ret;
+}
+
Vector2 Vector2::linear_interpolate(const Vector2 &p_a, const Vector2 &p_b, real_t p_t) {
Vector2 res = p_a;
diff --git a/core/math/vector3.h b/core/math/vector3.h
index b11838d16e..21fc09653f 100644
--- a/core/math/vector3.h
+++ b/core/math/vector3.h
@@ -112,6 +112,7 @@ struct Vector3 {
_FORCE_INLINE_ Vector3 project(const Vector3 &p_b) const;
_FORCE_INLINE_ real_t angle_to(const Vector3 &p_b) const;
+ _FORCE_INLINE_ Vector3 direction_to(const Vector3 &p_b) const;
_FORCE_INLINE_ Vector3 slide(const Vector3 &p_normal) const;
_FORCE_INLINE_ Vector3 bounce(const Vector3 &p_normal) const;
@@ -244,6 +245,12 @@ real_t Vector3::angle_to(const Vector3 &p_b) const {
return Math::atan2(cross(p_b).length(), dot(p_b));
}
+Vector3 Vector3::direction_to(const Vector3 &p_b) const {
+ Vector3 ret(p_b.x - x, p_b.y - y, p_b.z - z);
+ ret.normalize();
+ return ret;
+}
+
/* Operators */
Vector3 &Vector3::operator+=(const Vector3 &p_v) {
@@ -334,17 +341,17 @@ Vector3 Vector3::operator-() const {
bool Vector3::operator==(const Vector3 &p_v) const {
- return (x == p_v.x && y == p_v.y && z == p_v.z);
+ return (Math::is_equal_approx(x, p_v.x) && Math::is_equal_approx(y, p_v.y) && Math::is_equal_approx(z, p_v.z));
}
bool Vector3::operator!=(const Vector3 &p_v) const {
- return (x != p_v.x || y != p_v.y || z != p_v.z);
+ return (!Math::is_equal_approx(x, p_v.x) || !Math::is_equal_approx(y, p_v.y) || !Math::is_equal_approx(z, p_v.z));
}
bool Vector3::operator<(const Vector3 &p_v) const {
- if (x == p_v.x) {
- if (y == p_v.y)
+ if (Math::is_equal_approx(x, p_v.x)) {
+ if (Math::is_equal_approx(y, p_v.y))
return z < p_v.z;
else
return y < p_v.y;
@@ -355,8 +362,8 @@ bool Vector3::operator<(const Vector3 &p_v) const {
bool Vector3::operator<=(const Vector3 &p_v) const {
- if (x == p_v.x) {
- if (y == p_v.y)
+ if (Math::is_equal_approx(x, p_v.x)) {
+ if (Math::is_equal_approx(y, p_v.y))
return z <= p_v.z;
else
return y < p_v.y;
@@ -395,13 +402,14 @@ real_t Vector3::length_squared() const {
void Vector3::normalize() {
- real_t l = length();
- if (l == 0) {
+ real_t lengthsq = length_squared();
+ if (lengthsq == 0) {
x = y = z = 0;
} else {
- x /= l;
- y /= l;
- z /= l;
+ real_t length = Math::sqrt(lengthsq);
+ x /= length;
+ y /= length;
+ z /= length;
}
}