godot/core/math/rect2.h
PouleyKetchoupp 3877ed73d0 Dynamic BVH broadphase in 2D & 3D Godot Physics
Port lawnjelly's dynamic BVH implementation from 3.x to be used in
both 2D and 3D broadphases.

Removed alternative broadphase implementations which are not meant to be
used anymore since they are much slower.

Includes changes in Rect2, Vector2, Vector3 that help with the template
implementation of the dynamic BVH by uniformizing the interface between
2D and 3D math.

Co-authored-by: lawnjelly <lawnjelly@gmail.com>
2021-05-10 16:28:55 -07:00

521 lines
15 KiB
C++

/*************************************************************************/
/* rect2.h */
/*************************************************************************/
/* This file is part of: */
/* GODOT ENGINE */
/* https://godotengine.org */
/*************************************************************************/
/* Copyright (c) 2007-2021 Juan Linietsky, Ariel Manzur. */
/* Copyright (c) 2014-2021 Godot Engine contributors (cf. AUTHORS.md). */
/* */
/* Permission is hereby granted, free of charge, to any person obtaining */
/* a copy of this software and associated documentation files (the */
/* "Software"), to deal in the Software without restriction, including */
/* without limitation the rights to use, copy, modify, merge, publish, */
/* distribute, sublicense, and/or sell copies of the Software, and to */
/* permit persons to whom the Software is furnished to do so, subject to */
/* the following conditions: */
/* */
/* The above copyright notice and this permission notice shall be */
/* included in all copies or substantial portions of the Software. */
/* */
/* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, */
/* EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF */
/* MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT.*/
/* IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY */
/* CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, */
/* TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE */
/* SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE. */
/*************************************************************************/
#ifndef RECT2_H
#define RECT2_H
#include "core/math/vector2.h" // also includes math_funcs and ustring
struct Transform2D;
struct Rect2 {
Point2 position;
Size2 size;
const Vector2 &get_position() const { return position; }
void set_position(const Vector2 &p_pos) { position = p_pos; }
const Vector2 &get_size() const { return size; }
void set_size(const Vector2 &p_size) { size = p_size; }
real_t get_area() const { return size.width * size.height; }
inline bool intersects(const Rect2 &p_rect, const bool p_include_borders = false) const {
if (p_include_borders) {
if (position.x > (p_rect.position.x + p_rect.size.width)) {
return false;
}
if ((position.x + size.width) < p_rect.position.x) {
return false;
}
if (position.y > (p_rect.position.y + p_rect.size.height)) {
return false;
}
if ((position.y + size.height) < p_rect.position.y) {
return false;
}
} else {
if (position.x >= (p_rect.position.x + p_rect.size.width)) {
return false;
}
if ((position.x + size.width) <= p_rect.position.x) {
return false;
}
if (position.y >= (p_rect.position.y + p_rect.size.height)) {
return false;
}
if ((position.y + size.height) <= p_rect.position.y) {
return false;
}
}
return true;
}
inline real_t distance_to(const Vector2 &p_point) const {
real_t dist = 0.0;
bool inside = true;
if (p_point.x < position.x) {
real_t d = position.x - p_point.x;
dist = d;
inside = false;
}
if (p_point.y < position.y) {
real_t d = position.y - p_point.y;
dist = inside ? d : MIN(dist, d);
inside = false;
}
if (p_point.x >= (position.x + size.x)) {
real_t d = p_point.x - (position.x + size.x);
dist = inside ? d : MIN(dist, d);
inside = false;
}
if (p_point.y >= (position.y + size.y)) {
real_t d = p_point.y - (position.y + size.y);
dist = inside ? d : MIN(dist, d);
inside = false;
}
if (inside) {
return 0;
} else {
return dist;
}
}
bool intersects_transformed(const Transform2D &p_xform, const Rect2 &p_rect) const;
bool intersects_segment(const Point2 &p_from, const Point2 &p_to, Point2 *r_pos = nullptr, Point2 *r_normal = nullptr) const;
inline bool encloses(const Rect2 &p_rect) const {
return (p_rect.position.x >= position.x) && (p_rect.position.y >= position.y) &&
((p_rect.position.x + p_rect.size.x) <= (position.x + size.x)) &&
((p_rect.position.y + p_rect.size.y) <= (position.y + size.y));
}
_FORCE_INLINE_ bool has_no_area() const {
return (size.x <= 0 || size.y <= 0);
}
// Returns the instersection between two Rect2s or an empty Rect2 if there is no intersection
inline Rect2 intersection(const Rect2 &p_rect) const {
Rect2 new_rect = p_rect;
if (!intersects(new_rect)) {
return Rect2();
}
new_rect.position.x = MAX(p_rect.position.x, position.x);
new_rect.position.y = MAX(p_rect.position.y, position.y);
Point2 p_rect_end = p_rect.position + p_rect.size;
Point2 end = position + size;
new_rect.size.x = MIN(p_rect_end.x, end.x) - new_rect.position.x;
new_rect.size.y = MIN(p_rect_end.y, end.y) - new_rect.position.y;
return new_rect;
}
inline Rect2 merge(const Rect2 &p_rect) const { ///< return a merged rect
Rect2 new_rect;
new_rect.position.x = MIN(p_rect.position.x, position.x);
new_rect.position.y = MIN(p_rect.position.y, position.y);
new_rect.size.x = MAX(p_rect.position.x + p_rect.size.x, position.x + size.x);
new_rect.size.y = MAX(p_rect.position.y + p_rect.size.y, position.y + size.y);
new_rect.size = new_rect.size - new_rect.position; //make relative again
return new_rect;
}
inline bool has_point(const Point2 &p_point) const {
if (p_point.x < position.x) {
return false;
}
if (p_point.y < position.y) {
return false;
}
if (p_point.x >= (position.x + size.x)) {
return false;
}
if (p_point.y >= (position.y + size.y)) {
return false;
}
return true;
}
bool is_equal_approx(const Rect2 &p_rect) const;
bool operator==(const Rect2 &p_rect) const { return position == p_rect.position && size == p_rect.size; }
bool operator!=(const Rect2 &p_rect) const { return position != p_rect.position || size != p_rect.size; }
inline Rect2 grow(real_t p_amount) const {
Rect2 g = *this;
g.grow_by(p_amount);
return g;
}
inline void grow_by(real_t p_amount) {
position.x -= p_amount;
position.y -= p_amount;
size.width += p_amount * 2;
size.height += p_amount * 2;
}
inline Rect2 grow_side(Side p_side, real_t p_amount) const {
Rect2 g = *this;
g = g.grow_individual((SIDE_LEFT == p_side) ? p_amount : 0,
(SIDE_TOP == p_side) ? p_amount : 0,
(SIDE_RIGHT == p_side) ? p_amount : 0,
(SIDE_BOTTOM == p_side) ? p_amount : 0);
return g;
}
inline Rect2 grow_side_bind(uint32_t p_side, real_t p_amount) const {
return grow_side(Side(p_side), p_amount);
}
inline Rect2 grow_individual(real_t p_left, real_t p_top, real_t p_right, real_t p_bottom) const {
Rect2 g = *this;
g.position.x -= p_left;
g.position.y -= p_top;
g.size.width += p_left + p_right;
g.size.height += p_top + p_bottom;
return g;
}
_FORCE_INLINE_ Rect2 expand(const Vector2 &p_vector) const {
Rect2 r = *this;
r.expand_to(p_vector);
return r;
}
inline void expand_to(const Vector2 &p_vector) { //in place function for speed
Vector2 begin = position;
Vector2 end = position + size;
if (p_vector.x < begin.x) {
begin.x = p_vector.x;
}
if (p_vector.y < begin.y) {
begin.y = p_vector.y;
}
if (p_vector.x > end.x) {
end.x = p_vector.x;
}
if (p_vector.y > end.y) {
end.y = p_vector.y;
}
position = begin;
size = end - begin;
}
_FORCE_INLINE_ Rect2 abs() const {
return Rect2(Point2(position.x + MIN(size.x, 0), position.y + MIN(size.y, 0)), size.abs());
}
Vector2 get_support(const Vector2 &p_normal) const {
Vector2 half_extents = size * 0.5;
Vector2 ofs = position + half_extents;
return Vector2(
(p_normal.x > 0) ? -half_extents.x : half_extents.x,
(p_normal.y > 0) ? -half_extents.y : half_extents.y) +
ofs;
}
_FORCE_INLINE_ bool intersects_filled_polygon(const Vector2 *p_points, int p_point_count) const {
Vector2 center = position + size * 0.5;
int side_plus = 0;
int side_minus = 0;
Vector2 end = position + size;
int i_f = p_point_count - 1;
for (int i = 0; i < p_point_count; i++) {
const Vector2 &a = p_points[i_f];
const Vector2 &b = p_points[i];
i_f = i;
Vector2 r = (b - a);
float l = r.length();
if (l == 0.0) {
continue;
}
//check inside
Vector2 tg = r.orthogonal();
float s = tg.dot(center) - tg.dot(a);
if (s < 0.0) {
side_plus++;
} else {
side_minus++;
}
//check ray box
r /= l;
Vector2 ir(1.0 / r.x, 1.0 / r.y);
// lb is the corner of AABB with minimal coordinates - left bottom, rt is maximal corner
// r.org is origin of ray
Vector2 t13 = (position - a) * ir;
Vector2 t24 = (end - a) * ir;
float tmin = MAX(MIN(t13.x, t24.x), MIN(t13.y, t24.y));
float tmax = MIN(MAX(t13.x, t24.x), MAX(t13.y, t24.y));
// if tmax < 0, ray (line) is intersecting AABB, but the whole AABB is behind us
if (tmax < 0 || tmin > tmax || tmin >= l) {
continue;
}
return true;
}
if (side_plus * side_minus == 0) {
return true; //all inside
} else {
return false;
}
}
_FORCE_INLINE_ void set_end(const Vector2 &p_end) {
size = p_end - position;
}
_FORCE_INLINE_ Vector2 get_end() const {
return position + size;
}
operator String() const { return String(position) + ", " + String(size); }
Rect2() {}
Rect2(real_t p_x, real_t p_y, real_t p_width, real_t p_height) :
position(Point2(p_x, p_y)),
size(Size2(p_width, p_height)) {
}
Rect2(const Point2 &p_pos, const Size2 &p_size) :
position(p_pos),
size(p_size) {
}
};
struct Rect2i {
Point2i position;
Size2i size;
const Point2i &get_position() const { return position; }
void set_position(const Point2i &p_position) { position = p_position; }
const Size2i &get_size() const { return size; }
void set_size(const Size2i &p_size) { size = p_size; }
int get_area() const { return size.width * size.height; }
inline bool intersects(const Rect2i &p_rect) const {
if (position.x > (p_rect.position.x + p_rect.size.width)) {
return false;
}
if ((position.x + size.width) < p_rect.position.x) {
return false;
}
if (position.y > (p_rect.position.y + p_rect.size.height)) {
return false;
}
if ((position.y + size.height) < p_rect.position.y) {
return false;
}
return true;
}
inline bool encloses(const Rect2i &p_rect) const {
return (p_rect.position.x >= position.x) && (p_rect.position.y >= position.y) &&
((p_rect.position.x + p_rect.size.x) < (position.x + size.x)) &&
((p_rect.position.y + p_rect.size.y) < (position.y + size.y));
}
_FORCE_INLINE_ bool has_no_area() const {
return (size.x <= 0 || size.y <= 0);
}
// Returns the instersection between two Rect2is or an empty Rect2i if there is no intersection
inline Rect2i intersection(const Rect2i &p_rect) const {
Rect2i new_rect = p_rect;
if (!intersects(new_rect)) {
return Rect2i();
}
new_rect.position.x = MAX(p_rect.position.x, position.x);
new_rect.position.y = MAX(p_rect.position.y, position.y);
Point2i p_rect_end = p_rect.position + p_rect.size;
Point2i end = position + size;
new_rect.size.x = (int)(MIN(p_rect_end.x, end.x) - new_rect.position.x);
new_rect.size.y = (int)(MIN(p_rect_end.y, end.y) - new_rect.position.y);
return new_rect;
}
inline Rect2i merge(const Rect2i &p_rect) const { ///< return a merged rect
Rect2i new_rect;
new_rect.position.x = MIN(p_rect.position.x, position.x);
new_rect.position.y = MIN(p_rect.position.y, position.y);
new_rect.size.x = MAX(p_rect.position.x + p_rect.size.x, position.x + size.x);
new_rect.size.y = MAX(p_rect.position.y + p_rect.size.y, position.y + size.y);
new_rect.size = new_rect.size - new_rect.position; //make relative again
return new_rect;
}
bool has_point(const Point2i &p_point) const {
if (p_point.x < position.x) {
return false;
}
if (p_point.y < position.y) {
return false;
}
if (p_point.x >= (position.x + size.x)) {
return false;
}
if (p_point.y >= (position.y + size.y)) {
return false;
}
return true;
}
bool operator==(const Rect2i &p_rect) const { return position == p_rect.position && size == p_rect.size; }
bool operator!=(const Rect2i &p_rect) const { return position != p_rect.position || size != p_rect.size; }
Rect2i grow(int p_amount) const {
Rect2i g = *this;
g.position.x -= p_amount;
g.position.y -= p_amount;
g.size.width += p_amount * 2;
g.size.height += p_amount * 2;
return g;
}
inline Rect2i grow_side(Side p_side, int p_amount) const {
Rect2i g = *this;
g = g.grow_individual((SIDE_LEFT == p_side) ? p_amount : 0,
(SIDE_TOP == p_side) ? p_amount : 0,
(SIDE_RIGHT == p_side) ? p_amount : 0,
(SIDE_BOTTOM == p_side) ? p_amount : 0);
return g;
}
inline Rect2i grow_side_bind(uint32_t p_side, int p_amount) const {
return grow_side(Side(p_side), p_amount);
}
inline Rect2i grow_individual(int p_left, int p_top, int p_right, int p_bottom) const {
Rect2i g = *this;
g.position.x -= p_left;
g.position.y -= p_top;
g.size.width += p_left + p_right;
g.size.height += p_top + p_bottom;
return g;
}
_FORCE_INLINE_ Rect2i expand(const Vector2i &p_vector) const {
Rect2i r = *this;
r.expand_to(p_vector);
return r;
}
inline void expand_to(const Point2i &p_vector) {
Point2i begin = position;
Point2i end = position + size;
if (p_vector.x < begin.x) {
begin.x = p_vector.x;
}
if (p_vector.y < begin.y) {
begin.y = p_vector.y;
}
if (p_vector.x > end.x) {
end.x = p_vector.x;
}
if (p_vector.y > end.y) {
end.y = p_vector.y;
}
position = begin;
size = end - begin;
}
_FORCE_INLINE_ Rect2i abs() const {
return Rect2i(Point2i(position.x + MIN(size.x, 0), position.y + MIN(size.y, 0)), size.abs());
}
_FORCE_INLINE_ void set_end(const Vector2i &p_end) {
size = p_end - position;
}
_FORCE_INLINE_ Vector2i get_end() const {
return position + size;
}
operator String() const { return String(position) + ", " + String(size); }
operator Rect2() const { return Rect2(position, size); }
Rect2i() {}
Rect2i(const Rect2 &p_r2) :
position(p_r2.position),
size(p_r2.size) {
}
Rect2i(int p_x, int p_y, int p_width, int p_height) :
position(Point2i(p_x, p_y)),
size(Size2i(p_width, p_height)) {
}
Rect2i(const Point2i &p_pos, const Size2i &p_size) :
position(p_pos),
size(p_size) {
}
};
#endif // RECT2_H