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Diffstat (limited to 'servers/physics/gjk_epa.cpp')
| -rw-r--r-- | servers/physics/gjk_epa.cpp | 946 | 
1 files changed, 0 insertions, 946 deletions
diff --git a/servers/physics/gjk_epa.cpp b/servers/physics/gjk_epa.cpp deleted file mode 100644 index abf0c0dc15..0000000000 --- a/servers/physics/gjk_epa.cpp +++ /dev/null @@ -1,946 +0,0 @@ -/*************************************************************************/ -/*  gjk_epa.cpp                                                          */ -/*************************************************************************/ -/*                       This file is part of:                           */ -/*                           GODOT ENGINE                                */ -/*                      https://godotengine.org                          */ -/*************************************************************************/ -/* Copyright (c) 2007-2020 Juan Linietsky, Ariel Manzur.                 */ -/* Copyright (c) 2014-2020 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.                */ -/*************************************************************************/ - -#include "gjk_epa.h" - -/* Disabling formatting for thirdparty code snippet */ -/* clang-format off */ - -/*************** Bullet's GJK-EPA2 IMPLEMENTATION *******************/ - -/* -Bullet Continuous Collision Detection and Physics Library -Copyright (c) 2003-2008 Erwin Coumans  http://continuousphysics.com/Bullet/ - -This software is provided 'as-is', without any express or implied warranty. -In no event will the authors be held liable for any damages arising from the -use of this software. -Permission is granted to anyone to use this software for any purpose, -including commercial applications, and to alter it and redistribute it -freely, -subject to the following restrictions: - -1. The origin of this software must not be misrepresented; you must not -claim that you wrote the original software. If you use this software in a -product, an acknowledgment in the product documentation would be appreciated -but is not required. -2. Altered source versions must be plainly marked as such, and must not be -misrepresented as being the original software. -3. This notice may not be removed or altered from any source distribution. -*/ - -/* -GJK-EPA collision solver by Nathanael Presson, 2008 -*/ - -	// Config - -/* GJK	*/ -#define GJK_MAX_ITERATIONS	128 -#define GJK_ACCURARY		((real_t)0.0001) -#define GJK_MIN_DISTANCE	((real_t)0.0001) -#define GJK_DUPLICATED_EPS	((real_t)0.0001) -#define GJK_SIMPLEX2_EPS	((real_t)0.0) -#define GJK_SIMPLEX3_EPS	((real_t)0.0) -#define GJK_SIMPLEX4_EPS	((real_t)0.0) - -/* EPA	*/ -#define EPA_MAX_VERTICES	64 -#define EPA_MAX_FACES		(EPA_MAX_VERTICES*2) -#define EPA_MAX_ITERATIONS	255 -#define EPA_ACCURACY		((real_t)0.0001) -#define EPA_FALLBACK		(10*EPA_ACCURACY) -#define EPA_PLANE_EPS		((real_t)0.00001) -#define EPA_INSIDE_EPS		((real_t)0.01) - -namespace GjkEpa2 { - - -struct sResults	{ -	enum eStatus { -		Separated,		/* Shapes doesn't penetrate */ -		Penetrating,	/* Shapes are penetrating */ -		GJK_Failed,		/* GJK phase fail, no big issue, shapes are probably just 'touching'	*/ -		EPA_Failed /* EPA phase fail, bigger problem, need to save parameters, and debug	*/ -	} status; - -	Vector3	witnesses[2]; -	Vector3	normal; -	real_t	distance; -}; - -// Shorthands -typedef unsigned int	U; -typedef unsigned char	U1; - -// MinkowskiDiff -struct	MinkowskiDiff { - -	const ShapeSW* m_shapes[2]; - -	Transform transform_A; -	Transform transform_B; - -	// i wonder how this could be sped up... if it can -	_FORCE_INLINE_ Vector3 Support0 ( const Vector3& d ) const { -		return transform_A.xform( m_shapes[0]->get_support( transform_A.basis.xform_inv(d).normalized() ) ); -	} - -	_FORCE_INLINE_ Vector3 Support1 ( const Vector3& d ) const { -		return transform_B.xform( m_shapes[1]->get_support( transform_B.basis.xform_inv(d).normalized() ) ); -	} - -	_FORCE_INLINE_ Vector3 Support ( const Vector3& d ) const { -		return ( Support0 ( d )-Support1 ( -d ) ); -	} - -	_FORCE_INLINE_ Vector3	Support ( const Vector3& d,U index ) const -	{ -		if ( index ) -			return ( Support1 ( d ) ); -		else -			return ( Support0 ( d ) ); -	} -}; - -typedef	MinkowskiDiff tShape; - - -// GJK -struct	GJK -{ -	/* Types		*/ -	struct	sSV -	{ -		Vector3	d,w; -	}; -	struct	sSimplex -	{ -		sSV*		c[4]; -		real_t	p[4]; -		U			rank; -	}; -	struct	eStatus	{ enum _ { -		Valid, -		Inside, -		Failed		};}; -		/* Fields		*/ -		tShape			m_shape; -		Vector3		m_ray; -		real_t		m_distance; -		sSimplex		m_simplices[2]; -		sSV				m_store[4]; -		sSV*			m_free[4]; -		U				m_nfree; -		U				m_current; -		sSimplex*		m_simplex; -		eStatus::_		m_status; -		/* Methods		*/ -		GJK() -		{ -			Initialize(); -		} -		void				Initialize() -		{ -			m_ray		=	Vector3(0,0,0); -			m_nfree		=	0; -			m_status	=	eStatus::Failed; -			m_current	=	0; -			m_distance	=	0; -		} -		eStatus::_			Evaluate(const tShape& shapearg,const Vector3& guess) -		{ -			U			iterations=0; -			real_t	sqdist=0; -			real_t	alpha=0; -			Vector3	lastw[4]; -			U			clastw=0; -			/* Initialize solver		*/ -			m_free[0]			=	&m_store[0]; -			m_free[1]			=	&m_store[1]; -			m_free[2]			=	&m_store[2]; -			m_free[3]			=	&m_store[3]; -			m_nfree				=	4; -			m_current			=	0; -			m_status			=	eStatus::Valid; -			m_shape				=	shapearg; -			m_distance			=	0; -			/* Initialize simplex		*/ -			m_simplices[0].rank	=	0; -			m_ray				=	guess; -			const real_t	sqrl=	m_ray.length_squared(); -			appendvertice(m_simplices[0],sqrl>0?-m_ray:Vector3(1,0,0)); -			m_simplices[0].p[0]	=	1; -			m_ray				=	m_simplices[0].c[0]->w; -			sqdist				=	sqrl; -			lastw[0]			= -				lastw[1]			= -				lastw[2]			= -				lastw[3]			=	m_ray; -			/* Loop						*/ -			do	{ -				const U		next=1-m_current; -				sSimplex&	cs=m_simplices[m_current]; -				sSimplex&	ns=m_simplices[next]; -				/* Check zero							*/ -				const real_t	rl=m_ray.length(); -				if(rl<GJK_MIN_DISTANCE) -				{/* Touching or inside				*/ -					m_status=eStatus::Inside; -					break; -				} -				/* Append new vertice in -'v' direction	*/ -				appendvertice(cs,-m_ray); -				const Vector3&	w=cs.c[cs.rank-1]->w; -				bool				found=false; -				for(U i=0;i<4;++i) -				{ -					if((w-lastw[i]).length_squared()<GJK_DUPLICATED_EPS) -					{ found=true;break; } -				} -				if(found) -				{/* Return old simplex				*/ -					removevertice(m_simplices[m_current]); -					break; -				} -				else -				{/* Update lastw					*/ -					lastw[clastw=(clastw+1)&3]=w; -				} -				/* Check for termination				*/ -				const real_t	omega=vec3_dot(m_ray,w)/rl; -				alpha=MAX(omega,alpha); -				if(((rl-alpha)-(GJK_ACCURARY*rl))<=0) -				{/* Return old simplex				*/ -					removevertice(m_simplices[m_current]); -					break; -				} -				/* Reduce simplex						*/ -				real_t	weights[4]; -				U			mask=0; -				switch(cs.rank) -				{ -				case	2:	sqdist=projectorigin(	cs.c[0]->w, -								cs.c[1]->w, -								weights,mask);break; -				case	3:	sqdist=projectorigin(	cs.c[0]->w, -								cs.c[1]->w, -								cs.c[2]->w, -								weights,mask);break; -				case	4:	sqdist=projectorigin(	cs.c[0]->w, -								cs.c[1]->w, -								cs.c[2]->w, -								cs.c[3]->w, -								weights,mask);break; -				} -				if(sqdist>=0) -				{/* Valid	*/ -					ns.rank		=	0; -					m_ray		=	Vector3(0,0,0); -					m_current	=	next; -					for(U i=0,ni=cs.rank;i<ni;++i) -					{ -						if(mask&(1<<i)) -						{ -							ns.c[ns.rank]		=	cs.c[i]; -							ns.p[ns.rank++]		=	weights[i]; -							m_ray				+=	cs.c[i]->w*weights[i]; -						} -						else -						{ -							m_free[m_nfree++]	=	cs.c[i]; -						} -					} -					if(mask==15) m_status=eStatus::Inside; -				} -				else -				{/* Return old simplex				*/ -					removevertice(m_simplices[m_current]); -					break; -				} -				m_status=((++iterations)<GJK_MAX_ITERATIONS)?m_status:eStatus::Failed; -			} while(m_status==eStatus::Valid); -			m_simplex=&m_simplices[m_current]; -			switch(m_status) -			{ -			case	eStatus::Valid:		m_distance=m_ray.length();break; -			case	eStatus::Inside:	m_distance=0;break; -			default: {} -			} -			return(m_status); -		} -		bool					EncloseOrigin() -		{ -			switch(m_simplex->rank) -			{ -			case	1: -				{ -					for(U i=0;i<3;++i) -					{ -						Vector3		axis=Vector3(0,0,0); -						axis[i]=1; -						appendvertice(*m_simplex, axis); -						if(EncloseOrigin())	return(true); -						removevertice(*m_simplex); -						appendvertice(*m_simplex,-axis); -						if(EncloseOrigin())	return(true); -						removevertice(*m_simplex); -					} -				} -				break; -			case	2: -				{ -					const Vector3	d=m_simplex->c[1]->w-m_simplex->c[0]->w; -					for(U i=0;i<3;++i) -					{ -						Vector3		axis=Vector3(0,0,0); -						axis[i]=1; -						const Vector3	p=vec3_cross(d,axis); -						if(p.length_squared()>0) -						{ -							appendvertice(*m_simplex, p); -							if(EncloseOrigin())	return(true); -							removevertice(*m_simplex); -							appendvertice(*m_simplex,-p); -							if(EncloseOrigin())	return(true); -							removevertice(*m_simplex); -						} -					} -				} -				break; -			case	3: -				{ -					const Vector3	n=vec3_cross(m_simplex->c[1]->w-m_simplex->c[0]->w, -						m_simplex->c[2]->w-m_simplex->c[0]->w); -					if(n.length_squared()>0) -					{ -						appendvertice(*m_simplex,n); -						if(EncloseOrigin())	return(true); -						removevertice(*m_simplex); -						appendvertice(*m_simplex,-n); -						if(EncloseOrigin())	return(true); -						removevertice(*m_simplex); -					} -				} -				break; -			case	4: -				{ -					if(Math::abs(det(	m_simplex->c[0]->w-m_simplex->c[3]->w, -						m_simplex->c[1]->w-m_simplex->c[3]->w, -						m_simplex->c[2]->w-m_simplex->c[3]->w))>0) -						return(true); -				} -				break; -			} -			return(false); -		} -		/* Internals	*/ -		void				getsupport(const Vector3& d,sSV& sv) const -		{ -			sv.d	=	d/d.length(); -			sv.w	=	m_shape.Support(sv.d); -		} -		void				removevertice(sSimplex& simplex) -		{ -			m_free[m_nfree++]=simplex.c[--simplex.rank]; -		} -		void				appendvertice(sSimplex& simplex,const Vector3& v) -		{ -			simplex.p[simplex.rank]=0; -			simplex.c[simplex.rank]=m_free[--m_nfree]; -			getsupport(v,*simplex.c[simplex.rank++]); -		} -		static real_t		det(const Vector3& a,const Vector3& b,const Vector3& c) -		{ -			return(	a.y*b.z*c.x+a.z*b.x*c.y- -				a.x*b.z*c.y-a.y*b.x*c.z+ -				a.x*b.y*c.z-a.z*b.y*c.x); -		} -		static real_t		projectorigin(	const Vector3& a, -			const Vector3& b, -			real_t* w,U& m) -		{ -			const Vector3	d=b-a; -			const real_t	l=d.length_squared(); -			if(l>GJK_SIMPLEX2_EPS) -			{ -				const real_t	t(l>0?-vec3_dot(a,d)/l:0); -				if(t>=1)		{ w[0]=0;w[1]=1;m=2;return(b.length_squared()); } -				else if(t<=0)	{ w[0]=1;w[1]=0;m=1;return(a.length_squared()); } -				else			{ w[0]=1-(w[1]=t);m=3;return((a+d*t).length_squared()); } -			} -			return(-1); -		} -		static real_t		projectorigin(	const Vector3& a, -			const Vector3& b, -			const Vector3& c, -			real_t* w,U& m) -		{ -			static const U		imd3[]={1,2,0}; -			const Vector3*	vt[]={&a,&b,&c}; -			const Vector3		dl[]={a-b,b-c,c-a}; -			const Vector3		n=vec3_cross(dl[0],dl[1]); -			const real_t		l=n.length_squared(); -			if(l>GJK_SIMPLEX3_EPS) -			{ -				real_t	mindist=-1; -				real_t	subw[2] = { 0 , 0}; -				U 		subm = 0; -				for(U i=0;i<3;++i) -				{ -					if(vec3_dot(*vt[i],vec3_cross(dl[i],n))>0) -					{ -						const U			j=imd3[i]; -						const real_t	subd(projectorigin(*vt[i],*vt[j],subw,subm)); -						if((mindist<0)||(subd<mindist)) -						{ -							mindist		=	subd; -							m			=	static_cast<U>(((subm&1)?1<<i:0)+((subm&2)?1<<j:0)); -							w[i]		=	subw[0]; -							w[j]		=	subw[1]; -							w[imd3[j]]	=	0; -						} -					} -				} -				if(mindist<0) -				{ -					const real_t	d=vec3_dot(a,n); -					const real_t	s=Math::sqrt(l); -					const Vector3	p=n*(d/l); -					mindist	=	p.length_squared(); -					m		=	7; -					w[0]	=	(vec3_cross(dl[1],b-p)).length()/s; -					w[1]	=	(vec3_cross(dl[2],c-p)).length()/s; -					w[2]	=	1-(w[0]+w[1]); -				} -				return(mindist); -			} -			return(-1); -		} -		static real_t		projectorigin(	const Vector3& a, -			const Vector3& b, -			const Vector3& c, -			const Vector3& d, -			real_t* w,U& m) -		{ -			static const U		imd3[]={1,2,0}; -			const Vector3*	vt[]={&a,&b,&c,&d}; -			const Vector3		dl[]={a-d,b-d,c-d}; -			const real_t		vl=det(dl[0],dl[1],dl[2]); -			const bool			ng=(vl*vec3_dot(a,vec3_cross(b-c,a-b)))<=0; -			if(ng&&(Math::abs(vl)>GJK_SIMPLEX4_EPS)) -			{ -				real_t	mindist=-1; -				real_t	subw[3]; -				U		subm=0; -				for(U i=0;i<3;++i) -				{ -					const U			j=imd3[i]; -					const real_t	s=vl*vec3_dot(d,vec3_cross(dl[i],dl[j])); -					if(s>0) -					{ -						const real_t	subd=projectorigin(*vt[i],*vt[j],d,subw,subm); -						if((mindist<0)||(subd<mindist)) -						{ -							mindist		=	subd; -							m			=	static_cast<U>((subm&1?1<<i:0)+ -								(subm&2?1<<j:0)+ -								(subm&4?8:0)); -							w[i]		=	subw[0]; -							w[j]		=	subw[1]; -							w[imd3[j]]	=	0; -							w[3]		=	subw[2]; -						} -					} -				} -				if(mindist<0) -				{ -					mindist	=	0; -					m		=	15; -					w[0]	=	det(c,b,d)/vl; -					w[1]	=	det(a,c,d)/vl; -					w[2]	=	det(b,a,d)/vl; -					w[3]	=	1-(w[0]+w[1]+w[2]); -				} -				return(mindist); -			} -			return(-1); -		} -}; - -	// EPA -	struct	EPA -	{ -		/* Types		*/ -		typedef	GJK::sSV	sSV; -		struct	sFace -		{ -			Vector3	n; -			real_t	d; -			real_t	p; -			sSV*		c[3]; -			sFace*		f[3]; -			sFace*		l[2]; -			U1			e[3]; -			U1			pass; -		}; -		struct	sList -		{ -			sFace*		root; -			U			count; -			sList() : root(0),count(0)	{} -		}; -		struct	sHorizon -		{ -			sFace*		cf; -			sFace*		ff; -			U			nf; -			sHorizon() : cf(0),ff(0),nf(0)	{} -		}; -		struct	eStatus { enum _ { -			Valid, -			Touching, -			Degenerated, -			NonConvex, -			InvalidHull, -			OutOfFaces, -			OutOfVertices, -			AccuraryReached, -			FallBack, -			Failed		};}; -			/* Fields		*/ -			eStatus::_		m_status; -			GJK::sSimplex	m_result; -			Vector3		m_normal; -			real_t		m_depth; -			sSV				m_sv_store[EPA_MAX_VERTICES]; -			sFace			m_fc_store[EPA_MAX_FACES]; -			U				m_nextsv; -			sList			m_hull; -			sList			m_stock; -			/* Methods		*/ -			EPA() -			{ -				Initialize(); -			} - - -			static inline void		bind(sFace* fa,U ea,sFace* fb,U eb) -			{ -				fa->e[ea]=(U1)eb;fa->f[ea]=fb; -				fb->e[eb]=(U1)ea;fb->f[eb]=fa; -			} -			static inline void		append(sList& list,sFace* face) -			{ -				face->l[0]	=	0; -				face->l[1]	=	list.root; -				if(list.root) list.root->l[0]=face; -				list.root	=	face; -				++list.count; -			} -			static inline void		remove(sList& list,sFace* face) -			{ -				if(face->l[1]) face->l[1]->l[0]=face->l[0]; -				if(face->l[0]) face->l[0]->l[1]=face->l[1]; -				if(face==list.root) list.root=face->l[1]; -				--list.count; -			} - - -			void				Initialize() -			{ -				m_status	=	eStatus::Failed; -				m_normal	=	Vector3(0,0,0); -				m_depth		=	0; -				m_nextsv	=	0; -				for(U i=0;i<EPA_MAX_FACES;++i) -				{ -					append(m_stock,&m_fc_store[EPA_MAX_FACES-i-1]); -				} -			} -			eStatus::_			Evaluate(GJK& gjk,const Vector3& guess) -			{ -				GJK::sSimplex&	simplex=*gjk.m_simplex; -				if((simplex.rank>1)&&gjk.EncloseOrigin()) -				{ - -					/* Clean up				*/ -					while(m_hull.root) -					{ -						sFace*	f = m_hull.root; -						remove(m_hull,f); -						append(m_stock,f); -					} -					m_status	=	eStatus::Valid; -					m_nextsv	=	0; -					/* Orient simplex		*/ -					if(gjk.det(	simplex.c[0]->w-simplex.c[3]->w, -						simplex.c[1]->w-simplex.c[3]->w, -						simplex.c[2]->w-simplex.c[3]->w)<0) -					{ -						SWAP(simplex.c[0],simplex.c[1]); -						SWAP(simplex.p[0],simplex.p[1]); -					} -					/* Build initial hull	*/ -					sFace*	tetra[]={newface(simplex.c[0],simplex.c[1],simplex.c[2],true), -						newface(simplex.c[1],simplex.c[0],simplex.c[3],true), -						newface(simplex.c[2],simplex.c[1],simplex.c[3],true), -						newface(simplex.c[0],simplex.c[2],simplex.c[3],true)}; -					if(m_hull.count==4) -					{ -						sFace*		best=findbest(); -						sFace		outer=*best; -						U			pass=0; -						U			iterations=0; -						bind(tetra[0],0,tetra[1],0); -						bind(tetra[0],1,tetra[2],0); -						bind(tetra[0],2,tetra[3],0); -						bind(tetra[1],1,tetra[3],2); -						bind(tetra[1],2,tetra[2],1); -						bind(tetra[2],2,tetra[3],1); -						m_status=eStatus::Valid; -						for(;iterations<EPA_MAX_ITERATIONS;++iterations) -						{ -							if(m_nextsv<EPA_MAX_VERTICES) -							{ -								sHorizon		horizon; -								sSV*			w=&m_sv_store[m_nextsv++]; -								bool			valid=true; -								best->pass	=	(U1)(++pass); -								gjk.getsupport(best->n,*w); -								const real_t	wdist=vec3_dot(best->n,w->w)-best->d; -								if(wdist>EPA_ACCURACY) -								{ -									for(U j=0;(j<3)&&valid;++j) -									{ -										valid&=expand(	pass,w, -											best->f[j],best->e[j], -											horizon); -									} -									if(valid&&(horizon.nf>=3)) -									{ -										bind(horizon.cf,1,horizon.ff,2); -										remove(m_hull,best); -										append(m_stock,best); -										best=findbest(); -										if(best->p>=outer.p) outer=*best; -									} else { m_status=eStatus::InvalidHull;break; } -								} else { m_status=eStatus::AccuraryReached;break; } -							} else { m_status=eStatus::OutOfVertices;break; } -						} -						const Vector3	projection=outer.n*outer.d; -						m_normal	=	outer.n; -						m_depth		=	outer.d; -						m_result.rank	=	3; -						m_result.c[0]	=	outer.c[0]; -						m_result.c[1]	=	outer.c[1]; -						m_result.c[2]	=	outer.c[2]; -						m_result.p[0]	=	vec3_cross(	outer.c[1]->w-projection, -							outer.c[2]->w-projection).length(); -						m_result.p[1]	=	vec3_cross(	outer.c[2]->w-projection, -							outer.c[0]->w-projection).length(); -						m_result.p[2]	=	vec3_cross(	outer.c[0]->w-projection, -							outer.c[1]->w-projection).length(); -						const real_t	sum=m_result.p[0]+m_result.p[1]+m_result.p[2]; -						m_result.p[0]	/=	sum; -						m_result.p[1]	/=	sum; -						m_result.p[2]	/=	sum; -						return(m_status); -					} -				} -				/* Fallback		*/ -				m_status	=	eStatus::FallBack; -				m_normal	=	-guess; -				const real_t	nl=m_normal.length(); -				if(nl>0) -					m_normal	=	m_normal/nl; -				else -					m_normal	=	Vector3(1,0,0); -				m_depth	=	0; -				m_result.rank=1; -				m_result.c[0]=simplex.c[0]; -				m_result.p[0]=1; -				return(m_status); -			} -			sFace*				newface(sSV* a,sSV* b,sSV* c,bool forced) -			{ -				if(m_stock.root) -				{ -					sFace*	face=m_stock.root; -					remove(m_stock,face); -					append(m_hull,face); -					face->pass	=	0; -					face->c[0]	=	a; -					face->c[1]	=	b; -					face->c[2]	=	c; -					face->n		=	vec3_cross(b->w-a->w,c->w-a->w); -					const real_t	l=face->n.length(); -					const bool		v=l>EPA_ACCURACY; -					face->p		=	MIN(MIN( -						vec3_dot(a->w,vec3_cross(face->n,a->w-b->w)), -						vec3_dot(b->w,vec3_cross(face->n,b->w-c->w))), -						vec3_dot(c->w,vec3_cross(face->n,c->w-a->w)))	/ -						(v?l:1); -					face->p		=	face->p>=-EPA_INSIDE_EPS?0:face->p; -					if(v) -					{ -						face->d		=	vec3_dot(a->w,face->n)/l; -						face->n		/=	l; -						if(forced||(face->d>=-EPA_PLANE_EPS)) -						{ -							return(face); -						} else m_status=eStatus::NonConvex; -					} else m_status=eStatus::Degenerated; -					remove(m_hull,face); -					append(m_stock,face); -					return(0); -				} -				// -- GODOT start -- -				//m_status=m_stock.root?eStatus::OutOfVertices:eStatus::OutOfFaces; -				m_status=eStatus::OutOfFaces; -				// -- GODOT end -- -				return(0); -			} -			sFace*				findbest() -			{ -				sFace*		minf=m_hull.root; -				real_t	mind=minf->d*minf->d; -				real_t	maxp=minf->p; -				for(sFace* f=minf->l[1];f;f=f->l[1]) -				{ -					const real_t	sqd=f->d*f->d; -					if((f->p>=maxp)&&(sqd<mind)) -					{ -						minf=f; -						mind=sqd; -						maxp=f->p; -					} -				} -				return(minf); -			} -			bool				expand(U pass,sSV* w,sFace* f,U e,sHorizon& horizon) -			{ -				static const U	i1m3[]={1,2,0}; -				static const U	i2m3[]={2,0,1}; -				if(f->pass!=pass) -				{ -					const U	e1=i1m3[e]; -					if((vec3_dot(f->n,w->w)-f->d)<-EPA_PLANE_EPS) -					{ -						sFace*	nf=newface(f->c[e1],f->c[e],w,false); -						if(nf) -						{ -							bind(nf,0,f,e); -							if(horizon.cf) bind(horizon.cf,1,nf,2); else horizon.ff=nf; -							horizon.cf=nf; -							++horizon.nf; -							return(true); -						} -					} -					else -					{ -						const U	e2=i2m3[e]; -						f->pass		=	(U1)pass; -						if(	expand(pass,w,f->f[e1],f->e[e1],horizon)&& -							expand(pass,w,f->f[e2],f->e[e2],horizon)) -						{ -							remove(m_hull,f); -							append(m_stock,f); -							return(true); -						} -					} -				} -				return(false); -			} - -	}; - -	// -	static void	Initialize(	const ShapeSW* shape0,const Transform& wtrs0, -		const ShapeSW* shape1,const Transform& wtrs1, -		sResults& results, -		tShape& shape, -		bool withmargins) -	{ -		/* Results		*/ -		results.witnesses[0]	= -			results.witnesses[1]	=	Vector3(0,0,0); -		results.status			=	sResults::Separated; -		/* Shape		*/ -		shape.m_shapes[0]		=	shape0; -		shape.m_shapes[1]		=	shape1; -		shape.transform_A		=	wtrs0; -		shape.transform_B		=	wtrs1; - -	} - - - -// -// Api -// - -// - -// -bool Distance(	const ShapeSW*	shape0, -									  const Transform&		wtrs0, -									  const ShapeSW*	shape1, -									  const Transform&		wtrs1, -									  const Vector3&		guess, -									  sResults&				results) -{ -	tShape			shape; -	Initialize(shape0,wtrs0,shape1,wtrs1,results,shape,false); -	GJK				gjk; -	GJK::eStatus::_	gjk_status=gjk.Evaluate(shape,guess); -	if(gjk_status==GJK::eStatus::Valid) -	{ -		Vector3	w0=Vector3(0,0,0); -		Vector3	w1=Vector3(0,0,0); -		for(U i=0;i<gjk.m_simplex->rank;++i) -		{ -			const real_t	p=gjk.m_simplex->p[i]; -			w0+=shape.Support( gjk.m_simplex->c[i]->d,0)*p; -			w1+=shape.Support(-gjk.m_simplex->c[i]->d,1)*p; -		} -		results.witnesses[0]	=	w0; -		results.witnesses[1]	=	w1; -		results.normal			=	w0-w1; -		results.distance		=	results.normal.length(); -		results.normal			/=	results.distance>GJK_MIN_DISTANCE?results.distance:1; -		return(true); -	} -	else -	{ -		results.status	=	gjk_status==GJK::eStatus::Inside? -			sResults::Penetrating	: -		sResults::GJK_Failed	; -		return(false); -	} -} - -// -bool Penetration(	const ShapeSW*	shape0, -									 const Transform&		wtrs0, -									 const ShapeSW*	shape1, -									 const Transform&		wtrs1, -									 const Vector3&		guess, -									 sResults&				results -									) -{ -	tShape			shape; -	Initialize(shape0,wtrs0,shape1,wtrs1,results,shape,false); -	GJK				gjk; -	GJK::eStatus::_	gjk_status=gjk.Evaluate(shape,-guess); -	switch(gjk_status) -	{ -	case	GJK::eStatus::Inside: -		{ -			EPA				epa; -			EPA::eStatus::_	epa_status=epa.Evaluate(gjk,-guess); -			if(epa_status!=EPA::eStatus::Failed) -			{ -				Vector3	w0=Vector3(0,0,0); -				for(U i=0;i<epa.m_result.rank;++i) -				{ -					w0+=shape.Support(epa.m_result.c[i]->d,0)*epa.m_result.p[i]; -				} -				results.status			=	sResults::Penetrating; -				results.witnesses[0]	=	w0; -				results.witnesses[1]	=	w0-epa.m_normal*epa.m_depth; -				results.normal			=	-epa.m_normal; -				results.distance		=	-epa.m_depth; -				return(true); -			} else results.status=sResults::EPA_Failed; -		} -		break; -	case	GJK::eStatus::Failed: -		results.status=sResults::GJK_Failed; -		break; -	default: {} -	} -	return(false); -} - - -/* Symbols cleanup		*/ - -#undef GJK_MAX_ITERATIONS -#undef GJK_ACCURARY -#undef GJK_MIN_DISTANCE -#undef GJK_DUPLICATED_EPS -#undef GJK_SIMPLEX2_EPS -#undef GJK_SIMPLEX3_EPS -#undef GJK_SIMPLEX4_EPS - -#undef EPA_MAX_VERTICES -#undef EPA_MAX_FACES -#undef EPA_MAX_ITERATIONS -#undef EPA_ACCURACY -#undef EPA_FALLBACK -#undef EPA_PLANE_EPS -#undef EPA_INSIDE_EPS - - -} // end of namespace - -/* clang-format on */ - -bool gjk_epa_calculate_distance(const ShapeSW *p_shape_A, const Transform &p_transform_A, const ShapeSW *p_shape_B, const Transform &p_transform_B, Vector3 &r_result_A, Vector3 &r_result_B) { - -	GjkEpa2::sResults res; - -	if (GjkEpa2::Distance(p_shape_A, p_transform_A, p_shape_B, p_transform_B, p_transform_B.origin - p_transform_A.origin, res)) { - -		r_result_A = res.witnesses[0]; -		r_result_B = res.witnesses[1]; -		return true; -	} - -	return false; -} - -bool gjk_epa_calculate_penetration(const ShapeSW *p_shape_A, const Transform &p_transform_A, const ShapeSW *p_shape_B, const Transform &p_transform_B, CollisionSolverSW::CallbackResult p_result_callback, void *p_userdata, bool p_swap) { - -	GjkEpa2::sResults res; - -	if (GjkEpa2::Penetration(p_shape_A, p_transform_A, p_shape_B, p_transform_B, p_transform_B.origin - p_transform_A.origin, res)) { -		if (p_result_callback) { -			if (p_swap) -				p_result_callback(res.witnesses[1], res.witnesses[0], p_userdata); -			else -				p_result_callback(res.witnesses[0], res.witnesses[1], p_userdata); -		} -		return true; -	} - -	return false; -}  |