godot/servers/physics_2d/shape_2d_sw.h

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C++

/*************************************************************************/
/* shape_2d_sw.h */
/*************************************************************************/
/* This file is part of: */
/* GODOT ENGINE */
/* http://www.godotengine.org */
/*************************************************************************/
/* Copyright (c) 2007-2016 Juan Linietsky, Ariel Manzur. */
/* */
/* 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 */
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/* SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE. */
/*************************************************************************/
#ifndef SHAPE_2D_2DSW_H
#define SHAPE_2D_2DSW_H
#include "servers/physics_2d_server.h"
#define _SEGMENT_IS_VALID_SUPPORT_TRESHOLD 0.99998
/*
SHAPE_LINE, ///< plane:"plane"
SHAPE_SEGMENT, ///< float:"length"
SHAPE_CIRCLE, ///< float:"radius"
SHAPE_RECTANGLE, ///< vec3:"extents"
SHAPE_CONVEX_POLYGON, ///< array of planes:"planes"
SHAPE_CONCAVE_POLYGON, ///< Vector2 array:"triangles" , or Dictionary with "indices" (int array) and "triangles" (Vector2 array)
SHAPE_CUSTOM, ///< Server-Implementation based custom shape, calling shape_create() with this value will result in an error
*/
class Shape2DSW;
class ShapeOwner2DSW : public RID_Data{
public:
virtual void _shape_changed()=0;
virtual void remove_shape(Shape2DSW *p_shape)=0;
virtual ~ShapeOwner2DSW() {}
};
class Shape2DSW : public RID_Data {
RID self;
Rect2 aabb;
bool configured;
real_t custom_bias;
Map<ShapeOwner2DSW*,int> owners;
protected:
void configure(const Rect2& p_aabb);
public:
_FORCE_INLINE_ void set_self(const RID& p_self) { self=p_self; }
_FORCE_INLINE_ RID get_self() const {return self; }
virtual Physics2DServer::ShapeType get_type() const=0;
_FORCE_INLINE_ Rect2 get_aabb() const { return aabb; }
_FORCE_INLINE_ bool is_configured() const { return configured; }
virtual bool is_concave() const { return false; }
virtual bool contains_point(const Vector2& p_point) const=0;
virtual void project_rangev(const Vector2& p_normal, const Matrix32& p_transform, real_t &r_min, real_t &r_max) const=0;
virtual void project_range_castv(const Vector2& p_cast, const Vector2& p_normal, const Matrix32& p_transform, real_t &r_min, real_t &r_max) const=0;
virtual Vector2 get_support(const Vector2& p_normal) const;
virtual void get_supports(const Vector2& p_normal,Vector2 *r_supports,int & r_amount) const=0;
virtual bool intersect_segment(const Vector2& p_begin,const Vector2& p_end,Vector2 &r_point, Vector2 &r_normal) const=0;
virtual real_t get_moment_of_inertia(float p_mass,const Size2& p_scale) const=0;
virtual void set_data(const Variant& p_data)=0;
virtual Variant get_data() const=0;
_FORCE_INLINE_ void set_custom_bias(real_t p_bias) { custom_bias=p_bias; }
_FORCE_INLINE_ real_t get_custom_bias() const { return custom_bias; }
void add_owner(ShapeOwner2DSW *p_owner);
void remove_owner(ShapeOwner2DSW *p_owner);
bool is_owner(ShapeOwner2DSW *p_owner) const;
const Map<ShapeOwner2DSW*,int>& get_owners() const;
_FORCE_INLINE_ void get_supports_transformed_cast(const Vector2& p_cast,const Vector2& p_normal,const Matrix32& p_xform,Vector2 *r_supports,int & r_amount) const {
get_supports(p_xform.basis_xform_inv(p_normal).normalized(),r_supports,r_amount);
for(int i=0;i<r_amount;i++)
r_supports[i]=p_xform.xform(r_supports[i]);
if (r_amount==1) {
if (Math::abs( p_normal.dot(p_cast.normalized()) )<(1.0-_SEGMENT_IS_VALID_SUPPORT_TRESHOLD) ) {
//make line because they are parallel
r_amount=2;
r_supports[1]=r_supports[0]+p_cast;
} else if (p_cast.dot(p_normal)>0) {
//normal points towards cast, add cast
r_supports[0]+=p_cast;
}
} else {
if (Math::abs( p_normal.dot(p_cast.normalized()) )<(1.0-_SEGMENT_IS_VALID_SUPPORT_TRESHOLD) ) {
//optimize line and make it larger because they are parallel
if ((r_supports[1]-r_supports[0]).dot(p_cast)>0) {
//larger towards 1
r_supports[1]+=p_cast;
} else {
//larger towards 0
r_supports[0]+=p_cast;
}
} else if (p_cast.dot(p_normal)>0) {
//normal points towards cast, add cast
r_supports[0]+=p_cast;
r_supports[1]+=p_cast;
}
}
}
Shape2DSW();
virtual ~Shape2DSW();
};
//let the optimizer do the magic
#define DEFAULT_PROJECT_RANGE_CAST \
virtual void project_range_castv(const Vector2& p_cast, const Vector2& p_normal, const Matrix32& p_transform, real_t &r_min, real_t &r_max) const {\
project_range_cast(p_cast,p_normal,p_transform,r_min,r_max);\
}\
_FORCE_INLINE_ void project_range_cast(const Vector2& p_cast, const Vector2& p_normal, const Matrix32& p_transform, real_t &r_min, real_t &r_max) const {\
\
real_t mina,maxa;\
real_t minb,maxb;\
Matrix32 ofsb=p_transform;\
ofsb.elements[2]+=p_cast;\
project_range(p_normal,p_transform,mina,maxa);\
project_range(p_normal,ofsb,minb,maxb); \
r_min=MIN(mina,minb);\
r_max=MAX(maxa,maxb);\
}
class LineShape2DSW : public Shape2DSW {
Vector2 normal;
real_t d;
public:
_FORCE_INLINE_ Vector2 get_normal() const { return normal; }
_FORCE_INLINE_ real_t get_d() const { return d; }
virtual Physics2DServer::ShapeType get_type() const { return Physics2DServer::SHAPE_LINE; }
virtual void project_rangev(const Vector2& p_normal, const Matrix32& p_transform, real_t &r_min, real_t &r_max) const { project_range(p_normal,p_transform,r_min,r_max); }
virtual void get_supports(const Vector2& p_normal,Vector2 *r_supports,int & r_amount) const;
virtual bool contains_point(const Vector2& p_point) const;
virtual bool intersect_segment(const Vector2& p_begin,const Vector2& p_end,Vector2 &r_point, Vector2 &r_normal) const;
virtual real_t get_moment_of_inertia(float p_mass,const Size2& p_scale) const;
virtual void set_data(const Variant& p_data);
virtual Variant get_data() const;
_FORCE_INLINE_ void project_range(const Vector2& p_normal, const Matrix32& p_transform, real_t &r_min, real_t &r_max) const {
//real large
r_min=-1e10;
r_max=1e10;
}
virtual void project_range_castv(const Vector2& p_cast, const Vector2& p_normal, const Matrix32& p_transform, real_t &r_min, real_t &r_max) const {
project_range_cast(p_cast,p_normal,p_transform,r_min,r_max);
}
_FORCE_INLINE_ void project_range_cast(const Vector2& p_cast, const Vector2& p_normal, const Matrix32& p_transform, real_t &r_min, real_t &r_max) const {
//real large
r_min=-1e10;
r_max=1e10;
}
};
class RayShape2DSW : public Shape2DSW {
real_t length;
public:
_FORCE_INLINE_ real_t get_length() const { return length; }
virtual Physics2DServer::ShapeType get_type() const { return Physics2DServer::SHAPE_RAY; }
virtual void project_rangev(const Vector2& p_normal, const Matrix32& p_transform, real_t &r_min, real_t &r_max) const { project_range(p_normal,p_transform,r_min,r_max); }
virtual void get_supports(const Vector2& p_normal,Vector2 *r_supports,int & r_amount) const;
virtual bool contains_point(const Vector2& p_point) const;
virtual bool intersect_segment(const Vector2& p_begin,const Vector2& p_end,Vector2 &r_point, Vector2 &r_normal) const;
virtual real_t get_moment_of_inertia(float p_mass,const Size2& p_scale) const;
virtual void set_data(const Variant& p_data);
virtual Variant get_data() const;
_FORCE_INLINE_ void project_range(const Vector2& p_normal, const Matrix32& p_transform, real_t &r_min, real_t &r_max) const {
//real large
r_max = p_normal.dot(p_transform.get_origin());
r_min = p_normal.dot(p_transform.xform(Vector2(0,length)));
if (r_max<r_min) {
SWAP(r_max,r_min);
}
}
DEFAULT_PROJECT_RANGE_CAST
_FORCE_INLINE_ RayShape2DSW() {}
_FORCE_INLINE_ RayShape2DSW(real_t p_length) { length=p_length; }
};
class SegmentShape2DSW : public Shape2DSW {
Vector2 a;
Vector2 b;
Vector2 n;
public:
_FORCE_INLINE_ const Vector2& get_a() const { return a; }
_FORCE_INLINE_ const Vector2& get_b() const { return b; }
_FORCE_INLINE_ const Vector2& get_normal() const { return n; }
virtual Physics2DServer::ShapeType get_type() const { return Physics2DServer::SHAPE_SEGMENT; }
_FORCE_INLINE_ Vector2 get_xformed_normal(const Matrix32& p_xform) const {
return (p_xform.xform(b) - p_xform.xform(a)).normalized().tangent();
}
virtual void project_rangev(const Vector2& p_normal, const Matrix32& p_transform, real_t &r_min, real_t &r_max) const { project_range(p_normal,p_transform,r_min,r_max); }
virtual void get_supports(const Vector2& p_normal,Vector2 *r_supports,int & r_amount) const;
virtual bool contains_point(const Vector2& p_point) const;
virtual bool intersect_segment(const Vector2& p_begin,const Vector2& p_end,Vector2 &r_point, Vector2 &r_normal) const;
virtual real_t get_moment_of_inertia(float p_mass,const Size2& p_scale) const;
virtual void set_data(const Variant& p_data);
virtual Variant get_data() const;
_FORCE_INLINE_ void project_range(const Vector2& p_normal, const Matrix32& p_transform, real_t &r_min, real_t &r_max) const {
//real large
r_max = p_normal.dot(p_transform.xform(a));
r_min = p_normal.dot(p_transform.xform(b));
if (r_max<r_min) {
SWAP(r_max,r_min);
}
}
DEFAULT_PROJECT_RANGE_CAST
_FORCE_INLINE_ SegmentShape2DSW() {}
_FORCE_INLINE_ SegmentShape2DSW(const Vector2& p_a,const Vector2& p_b,const Vector2& p_n) { a=p_a; b=p_b; n=p_n; }
};
class CircleShape2DSW : public Shape2DSW {
real_t radius;
public:
_FORCE_INLINE_ const real_t& get_radius() const { return radius; }
virtual Physics2DServer::ShapeType get_type() const { return Physics2DServer::SHAPE_CIRCLE; }
virtual void project_rangev(const Vector2& p_normal, const Matrix32& p_transform, real_t &r_min, real_t &r_max) const { project_range(p_normal,p_transform,r_min,r_max); }
virtual void get_supports(const Vector2& p_normal,Vector2 *r_supports,int & r_amount) const;
virtual bool contains_point(const Vector2& p_point) const;
virtual bool intersect_segment(const Vector2& p_begin,const Vector2& p_end,Vector2 &r_point, Vector2 &r_normal) const;
virtual real_t get_moment_of_inertia(float p_mass,const Size2& p_scale) const;
virtual void set_data(const Variant& p_data);
virtual Variant get_data() const;
_FORCE_INLINE_ void project_range(const Vector2& p_normal, const Matrix32& p_transform, real_t &r_min, real_t &r_max) const {
//real large
real_t d = p_normal.dot( p_transform.get_origin() );
// figure out scale at point
Vector2 local_normal = p_transform.basis_xform_inv(p_normal);
real_t scale = local_normal.length();
r_min = d - (radius) * scale;
r_max = d + (radius) * scale;
}
DEFAULT_PROJECT_RANGE_CAST
};
class RectangleShape2DSW : public Shape2DSW {
Vector2 half_extents;
public:
_FORCE_INLINE_ const Vector2& get_half_extents() const { return half_extents; }
virtual Physics2DServer::ShapeType get_type() const { return Physics2DServer::SHAPE_RECTANGLE; }
virtual void project_rangev(const Vector2& p_normal, const Matrix32& p_transform, real_t &r_min, real_t &r_max) const { project_range(p_normal,p_transform,r_min,r_max); }
virtual void get_supports(const Vector2& p_normal,Vector2 *r_supports,int & r_amount) const;
virtual bool contains_point(const Vector2& p_point) const;
virtual bool intersect_segment(const Vector2& p_begin,const Vector2& p_end,Vector2 &r_point, Vector2 &r_normal) const;
virtual real_t get_moment_of_inertia(float p_mass,const Size2& p_scale) const;
virtual void set_data(const Variant& p_data);
virtual Variant get_data() const;
_FORCE_INLINE_ void project_range(const Vector2& p_normal, const Matrix32& p_transform, real_t &r_min, real_t &r_max) const {
// no matter the angle, the box is mirrored anyway
r_max=-1e20;
r_min=1e20;
for(int i=0;i<4;i++) {
real_t d=p_normal.dot(p_transform.xform(Vector2( ((i&1)*2-1)*half_extents.x, ((i>>1)*2-1)*half_extents.y )));
if (d>r_max)
r_max=d;
if (d<r_min)
r_min=d;
}
}
_FORCE_INLINE_ Vector2 get_circle_axis(const Matrix32& p_xform, const Matrix32& p_xform_inv,const Vector2& p_circle) const {
Vector2 local_v = p_xform_inv.xform(p_circle);
Vector2 he(
(local_v.x<0) ? -half_extents.x : half_extents.x,
(local_v.y<0) ? -half_extents.y : half_extents.y
);
return (p_xform.xform(he)-p_circle).normalized();
}
_FORCE_INLINE_ Vector2 get_box_axis(const Matrix32& p_xform, const Matrix32& p_xform_inv,const RectangleShape2DSW *p_B,const Matrix32& p_B_xform, const Matrix32& p_B_xform_inv) const {
Vector2 a,b;
{
Vector2 local_v = p_xform_inv.xform(p_B_xform.get_origin());
Vector2 he(
(local_v.x<0) ? -half_extents.x : half_extents.x,
(local_v.y<0) ? -half_extents.y : half_extents.y
);
a=p_xform.xform(he);
}
{
Vector2 local_v = p_B_xform_inv.xform(p_xform.get_origin());
Vector2 he(
(local_v.x<0) ? -p_B->half_extents.x : p_B->half_extents.x,
(local_v.y<0) ? -p_B->half_extents.y : p_B->half_extents.y
);
b=p_B_xform.xform(he);
}
return (a-b).normalized();
}
DEFAULT_PROJECT_RANGE_CAST
};
class CapsuleShape2DSW : public Shape2DSW {
real_t radius;
real_t height;
public:
_FORCE_INLINE_ const real_t& get_radius() const { return radius; }
_FORCE_INLINE_ const real_t& get_height() const { return height; }
virtual Physics2DServer::ShapeType get_type() const { return Physics2DServer::SHAPE_CAPSULE; }
virtual void project_rangev(const Vector2& p_normal, const Matrix32& p_transform, real_t &r_min, real_t &r_max) const { project_range(p_normal,p_transform,r_min,r_max); }
virtual void get_supports(const Vector2& p_normal,Vector2 *r_supports,int & r_amount) const;
virtual bool contains_point(const Vector2& p_point) const;
virtual bool intersect_segment(const Vector2& p_begin,const Vector2& p_end,Vector2 &r_point, Vector2 &r_normal) const;
virtual real_t get_moment_of_inertia(float p_mass,const Size2& p_scale) const;
virtual void set_data(const Variant& p_data);
virtual Variant get_data() const;
_FORCE_INLINE_ void project_range(const Vector2& p_normal, const Matrix32& p_transform, real_t &r_min, real_t &r_max) const {
// no matter the angle, the box is mirrored anyway
Vector2 n=p_transform.basis_xform_inv(p_normal).normalized();
float h = (n.y > 0) ? height : -height;
n *= radius;
n.y += h * 0.5;
r_max = p_normal.dot(p_transform.xform(n));
r_min = p_normal.dot(p_transform.xform(-n));
if (r_max<r_min) {
SWAP(r_max,r_min);
}
//ERR_FAIL_COND( r_max < r_min );
}
DEFAULT_PROJECT_RANGE_CAST
};
class ConvexPolygonShape2DSW : public Shape2DSW {
struct Point {
Vector2 pos;
Vector2 normal; //normal to next segment
};
Point *points;
int point_count;
public:
_FORCE_INLINE_ int get_point_count() const { return point_count; }
_FORCE_INLINE_ const Vector2& get_point(int p_idx) const { return points[p_idx].pos; }
_FORCE_INLINE_ const Vector2& get_segment_normal(int p_idx) const { return points[p_idx].normal; }
_FORCE_INLINE_ Vector2 get_xformed_segment_normal(const Matrix32& p_xform, int p_idx) const {
Vector2 a = points[p_idx].pos;
p_idx++;
Vector2 b = points[p_idx==point_count?0:p_idx].pos;
return (p_xform.xform(b)-p_xform.xform(a)).normalized().tangent();
}
virtual Physics2DServer::ShapeType get_type() const { return Physics2DServer::SHAPE_CONVEX_POLYGON; }
virtual void project_rangev(const Vector2& p_normal, const Matrix32& p_transform, real_t &r_min, real_t &r_max) const { project_range(p_normal,p_transform,r_min,r_max); }
virtual void get_supports(const Vector2& p_normal,Vector2 *r_supports,int & r_amount) const;
virtual bool contains_point(const Vector2& p_point) const;
virtual bool intersect_segment(const Vector2& p_begin,const Vector2& p_end,Vector2 &r_point, Vector2 &r_normal) const;
virtual real_t get_moment_of_inertia(float p_mass,const Size2& p_scale) const;
virtual void set_data(const Variant& p_data);
virtual Variant get_data() const;
_FORCE_INLINE_ void project_range(const Vector2& p_normal, const Matrix32& p_transform, real_t &r_min, real_t &r_max) const {
// no matter the angle, the box is mirrored anyway
r_min = r_max = p_normal.dot(p_transform.xform(points[0].pos));
for(int i=1;i<point_count;i++) {
float d = p_normal.dot(p_transform.xform(points[i].pos));
if (d>r_max)
r_max=d;
if (d<r_min)
r_min=d;
}
}
DEFAULT_PROJECT_RANGE_CAST
ConvexPolygonShape2DSW();
~ConvexPolygonShape2DSW();
};
class ConcaveShape2DSW : public Shape2DSW {
public:
virtual bool is_concave() const { return true; }
typedef void (*Callback)(void* p_userdata,Shape2DSW *p_convex);
virtual void cull(const Rect2& p_local_aabb,Callback p_callback,void* p_userdata) const=0;
};
class ConcavePolygonShape2DSW : public ConcaveShape2DSW {
struct Segment {
int points[2];
};
Vector<Segment> segments;
Vector<Point2> points;
struct BVH {
Rect2 aabb;
int left,right;
};
Vector<BVH> bvh;
int bvh_depth;
struct BVH_CompareX {
_FORCE_INLINE_ bool operator ()(const BVH& a, const BVH& b) const {
return (a.aabb.pos.x+a.aabb.size.x*0.5) < (b.aabb.pos.x+b.aabb.size.x*0.5);
}
};
struct BVH_CompareY {
_FORCE_INLINE_ bool operator ()(const BVH& a, const BVH& b) const {
return (a.aabb.pos.y+a.aabb.size.y*0.5) < (b.aabb.pos.y+b.aabb.size.y*0.5);
}
};
int _generate_bvh(BVH *p_bvh,int p_len,int p_depth);
public:
virtual Physics2DServer::ShapeType get_type() const { return Physics2DServer::SHAPE_CONCAVE_POLYGON; }
virtual void project_rangev(const Vector2& p_normal, const Matrix32& p_transform, real_t &r_min, real_t &r_max) const { /*project_range(p_normal,p_transform,r_min,r_max);*/ }
virtual void project_range(const Vector2& p_normal, const Matrix32& p_transform, real_t &r_min, real_t &r_max) const { /*project_range(p_normal,p_transform,r_min,r_max);*/ }
virtual void get_supports(const Vector2& p_normal,Vector2 *r_supports,int & r_amount) const;
virtual bool contains_point(const Vector2& p_point) const;
virtual bool intersect_segment(const Vector2& p_begin,const Vector2& p_end,Vector2 &r_point, Vector2 &r_normal) const;
virtual real_t get_moment_of_inertia(float p_mass,const Size2& p_scale) const { return 0; }
virtual void set_data(const Variant& p_data);
virtual Variant get_data() const;
virtual void cull(const Rect2& p_local_aabb,Callback p_callback,void* p_userdata) const;
DEFAULT_PROJECT_RANGE_CAST
};
#undef DEFAULT_PROJECT_RANGE_CAST
#endif // SHAPE_2D_2DSW_H