diff options
Diffstat (limited to 'thirdparty/bullet/Bullet3OpenCL/NarrowphaseCollision/kernels/mprKernels.h')
| -rw-r--r-- | thirdparty/bullet/Bullet3OpenCL/NarrowphaseCollision/kernels/mprKernels.h | 1446 | 
1 files changed, 1446 insertions, 0 deletions
diff --git a/thirdparty/bullet/Bullet3OpenCL/NarrowphaseCollision/kernels/mprKernels.h b/thirdparty/bullet/Bullet3OpenCL/NarrowphaseCollision/kernels/mprKernels.h new file mode 100644 index 0000000000..7ed4b382c3 --- /dev/null +++ b/thirdparty/bullet/Bullet3OpenCL/NarrowphaseCollision/kernels/mprKernels.h @@ -0,0 +1,1446 @@ +//this file is autogenerated using stringify.bat (premake --stringify) in the build folder of this project +static const char* mprKernelsCL= \ +"/***\n" +" * ---------------------------------\n" +" * Copyright (c)2012 Daniel Fiser <danfis@danfis.cz>\n" +" *\n" +" *  This file was ported from mpr.c file, part of libccd.\n" +" *  The Minkoski Portal Refinement implementation was ported \n" +" *  to OpenCL by Erwin Coumans for the Bullet 3 Physics library.\n" +" *  at http://github.com/erwincoumans/bullet3\n" +" *\n" +" *  Distributed under the OSI-approved BSD License (the \"License\");\n" +" *  see <http://www.opensource.org/licenses/bsd-license.php>.\n" +" *  This software is distributed WITHOUT ANY WARRANTY; without even the\n" +" *  implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.\n" +" *  See the License for more information.\n" +" */\n" +"#ifndef B3_MPR_PENETRATION_H\n" +"#define B3_MPR_PENETRATION_H\n" +"#ifndef B3_PLATFORM_DEFINITIONS_H\n" +"#define B3_PLATFORM_DEFINITIONS_H\n" +"struct MyTest\n" +"{\n" +"	int bla;\n" +"};\n" +"#ifdef __cplusplus\n" +"#else\n" +"//keep B3_LARGE_FLOAT*B3_LARGE_FLOAT < FLT_MAX\n" +"#define B3_LARGE_FLOAT 1e18f\n" +"#define B3_INFINITY 1e18f\n" +"#define b3Assert(a)\n" +"#define b3ConstArray(a) __global const a*\n" +"#define b3AtomicInc atomic_inc\n" +"#define b3AtomicAdd atomic_add\n" +"#define b3Fabs fabs\n" +"#define b3Sqrt native_sqrt\n" +"#define b3Sin native_sin\n" +"#define b3Cos native_cos\n" +"#define B3_STATIC\n" +"#endif\n" +"#endif\n" +"#ifndef B3_FLOAT4_H\n" +"#define B3_FLOAT4_H\n" +"#ifndef B3_PLATFORM_DEFINITIONS_H\n" +"#ifdef __cplusplus\n" +"#else\n" +"#endif\n" +"#endif\n" +"#ifdef __cplusplus\n" +"#else\n" +"	typedef float4	b3Float4;\n" +"	#define b3Float4ConstArg const b3Float4\n" +"	#define b3MakeFloat4 (float4)\n" +"	float b3Dot3F4(b3Float4ConstArg v0,b3Float4ConstArg v1)\n" +"	{\n" +"		float4 a1 = b3MakeFloat4(v0.xyz,0.f);\n" +"		float4 b1 = b3MakeFloat4(v1.xyz,0.f);\n" +"		return dot(a1, b1);\n" +"	}\n" +"	b3Float4 b3Cross3(b3Float4ConstArg v0,b3Float4ConstArg v1)\n" +"	{\n" +"		float4 a1 = b3MakeFloat4(v0.xyz,0.f);\n" +"		float4 b1 = b3MakeFloat4(v1.xyz,0.f);\n" +"		return cross(a1, b1);\n" +"	}\n" +"	#define b3MinFloat4 min\n" +"	#define b3MaxFloat4 max\n" +"	#define b3Normalized(a) normalize(a)\n" +"#endif \n" +"		\n" +"inline bool b3IsAlmostZero(b3Float4ConstArg v)\n" +"{\n" +"	if(b3Fabs(v.x)>1e-6 || b3Fabs(v.y)>1e-6 || b3Fabs(v.z)>1e-6)	\n" +"		return false;\n" +"	return true;\n" +"}\n" +"inline int    b3MaxDot( b3Float4ConstArg vec, __global const b3Float4* vecArray, int vecLen, float* dotOut )\n" +"{\n" +"    float maxDot = -B3_INFINITY;\n" +"    int i = 0;\n" +"    int ptIndex = -1;\n" +"    for( i = 0; i < vecLen; i++ )\n" +"    {\n" +"        float dot = b3Dot3F4(vecArray[i],vec);\n" +"            \n" +"        if( dot > maxDot )\n" +"        {\n" +"            maxDot = dot;\n" +"            ptIndex = i;\n" +"        }\n" +"    }\n" +"	b3Assert(ptIndex>=0);\n" +"    if (ptIndex<0)\n" +"	{\n" +"		ptIndex = 0;\n" +"	}\n" +"    *dotOut = maxDot;\n" +"    return ptIndex;\n" +"}\n" +"#endif //B3_FLOAT4_H\n" +"#ifndef B3_RIGIDBODY_DATA_H\n" +"#define B3_RIGIDBODY_DATA_H\n" +"#ifndef B3_FLOAT4_H\n" +"#ifdef __cplusplus\n" +"#else\n" +"#endif \n" +"#endif //B3_FLOAT4_H\n" +"#ifndef B3_QUAT_H\n" +"#define B3_QUAT_H\n" +"#ifndef B3_PLATFORM_DEFINITIONS_H\n" +"#ifdef __cplusplus\n" +"#else\n" +"#endif\n" +"#endif\n" +"#ifndef B3_FLOAT4_H\n" +"#ifdef __cplusplus\n" +"#else\n" +"#endif \n" +"#endif //B3_FLOAT4_H\n" +"#ifdef __cplusplus\n" +"#else\n" +"	typedef float4	b3Quat;\n" +"	#define b3QuatConstArg const b3Quat\n" +"	\n" +"	\n" +"inline float4 b3FastNormalize4(float4 v)\n" +"{\n" +"	v = (float4)(v.xyz,0.f);\n" +"	return fast_normalize(v);\n" +"}\n" +"	\n" +"inline b3Quat b3QuatMul(b3Quat a, b3Quat b);\n" +"inline b3Quat b3QuatNormalized(b3QuatConstArg in);\n" +"inline b3Quat b3QuatRotate(b3QuatConstArg q, b3QuatConstArg vec);\n" +"inline b3Quat b3QuatInvert(b3QuatConstArg q);\n" +"inline b3Quat b3QuatInverse(b3QuatConstArg q);\n" +"inline b3Quat b3QuatMul(b3QuatConstArg a, b3QuatConstArg b)\n" +"{\n" +"	b3Quat ans;\n" +"	ans = b3Cross3( a, b );\n" +"	ans += a.w*b+b.w*a;\n" +"//	ans.w = a.w*b.w - (a.x*b.x+a.y*b.y+a.z*b.z);\n" +"	ans.w = a.w*b.w - b3Dot3F4(a, b);\n" +"	return ans;\n" +"}\n" +"inline b3Quat b3QuatNormalized(b3QuatConstArg in)\n" +"{\n" +"	b3Quat q;\n" +"	q=in;\n" +"	//return b3FastNormalize4(in);\n" +"	float len = native_sqrt(dot(q, q));\n" +"	if(len > 0.f)\n" +"	{\n" +"		q *= 1.f / len;\n" +"	}\n" +"	else\n" +"	{\n" +"		q.x = q.y = q.z = 0.f;\n" +"		q.w = 1.f;\n" +"	}\n" +"	return q;\n" +"}\n" +"inline float4 b3QuatRotate(b3QuatConstArg q, b3QuatConstArg vec)\n" +"{\n" +"	b3Quat qInv = b3QuatInvert( q );\n" +"	float4 vcpy = vec;\n" +"	vcpy.w = 0.f;\n" +"	float4 out = b3QuatMul(b3QuatMul(q,vcpy),qInv);\n" +"	return out;\n" +"}\n" +"inline b3Quat b3QuatInverse(b3QuatConstArg q)\n" +"{\n" +"	return (b3Quat)(-q.xyz, q.w);\n" +"}\n" +"inline b3Quat b3QuatInvert(b3QuatConstArg q)\n" +"{\n" +"	return (b3Quat)(-q.xyz, q.w);\n" +"}\n" +"inline float4 b3QuatInvRotate(b3QuatConstArg q, b3QuatConstArg vec)\n" +"{\n" +"	return b3QuatRotate( b3QuatInvert( q ), vec );\n" +"}\n" +"inline b3Float4 b3TransformPoint(b3Float4ConstArg point, b3Float4ConstArg translation, b3QuatConstArg  orientation)\n" +"{\n" +"	return b3QuatRotate( orientation, point ) + (translation);\n" +"}\n" +"	\n" +"#endif \n" +"#endif //B3_QUAT_H\n" +"#ifndef B3_MAT3x3_H\n" +"#define B3_MAT3x3_H\n" +"#ifndef B3_QUAT_H\n" +"#ifdef __cplusplus\n" +"#else\n" +"#endif \n" +"#endif //B3_QUAT_H\n" +"#ifdef __cplusplus\n" +"#else\n" +"typedef struct\n" +"{\n" +"	b3Float4 m_row[3];\n" +"}b3Mat3x3;\n" +"#define b3Mat3x3ConstArg const b3Mat3x3\n" +"#define b3GetRow(m,row) (m.m_row[row])\n" +"inline b3Mat3x3 b3QuatGetRotationMatrix(b3Quat quat)\n" +"{\n" +"	b3Float4 quat2 = (b3Float4)(quat.x*quat.x, quat.y*quat.y, quat.z*quat.z, 0.f);\n" +"	b3Mat3x3 out;\n" +"	out.m_row[0].x=1-2*quat2.y-2*quat2.z;\n" +"	out.m_row[0].y=2*quat.x*quat.y-2*quat.w*quat.z;\n" +"	out.m_row[0].z=2*quat.x*quat.z+2*quat.w*quat.y;\n" +"	out.m_row[0].w = 0.f;\n" +"	out.m_row[1].x=2*quat.x*quat.y+2*quat.w*quat.z;\n" +"	out.m_row[1].y=1-2*quat2.x-2*quat2.z;\n" +"	out.m_row[1].z=2*quat.y*quat.z-2*quat.w*quat.x;\n" +"	out.m_row[1].w = 0.f;\n" +"	out.m_row[2].x=2*quat.x*quat.z-2*quat.w*quat.y;\n" +"	out.m_row[2].y=2*quat.y*quat.z+2*quat.w*quat.x;\n" +"	out.m_row[2].z=1-2*quat2.x-2*quat2.y;\n" +"	out.m_row[2].w = 0.f;\n" +"	return out;\n" +"}\n" +"inline b3Mat3x3 b3AbsoluteMat3x3(b3Mat3x3ConstArg matIn)\n" +"{\n" +"	b3Mat3x3 out;\n" +"	out.m_row[0] = fabs(matIn.m_row[0]);\n" +"	out.m_row[1] = fabs(matIn.m_row[1]);\n" +"	out.m_row[2] = fabs(matIn.m_row[2]);\n" +"	return out;\n" +"}\n" +"__inline\n" +"b3Mat3x3 mtZero();\n" +"__inline\n" +"b3Mat3x3 mtIdentity();\n" +"__inline\n" +"b3Mat3x3 mtTranspose(b3Mat3x3 m);\n" +"__inline\n" +"b3Mat3x3 mtMul(b3Mat3x3 a, b3Mat3x3 b);\n" +"__inline\n" +"b3Float4 mtMul1(b3Mat3x3 a, b3Float4 b);\n" +"__inline\n" +"b3Float4 mtMul3(b3Float4 a, b3Mat3x3 b);\n" +"__inline\n" +"b3Mat3x3 mtZero()\n" +"{\n" +"	b3Mat3x3 m;\n" +"	m.m_row[0] = (b3Float4)(0.f);\n" +"	m.m_row[1] = (b3Float4)(0.f);\n" +"	m.m_row[2] = (b3Float4)(0.f);\n" +"	return m;\n" +"}\n" +"__inline\n" +"b3Mat3x3 mtIdentity()\n" +"{\n" +"	b3Mat3x3 m;\n" +"	m.m_row[0] = (b3Float4)(1,0,0,0);\n" +"	m.m_row[1] = (b3Float4)(0,1,0,0);\n" +"	m.m_row[2] = (b3Float4)(0,0,1,0);\n" +"	return m;\n" +"}\n" +"__inline\n" +"b3Mat3x3 mtTranspose(b3Mat3x3 m)\n" +"{\n" +"	b3Mat3x3 out;\n" +"	out.m_row[0] = (b3Float4)(m.m_row[0].x, m.m_row[1].x, m.m_row[2].x, 0.f);\n" +"	out.m_row[1] = (b3Float4)(m.m_row[0].y, m.m_row[1].y, m.m_row[2].y, 0.f);\n" +"	out.m_row[2] = (b3Float4)(m.m_row[0].z, m.m_row[1].z, m.m_row[2].z, 0.f);\n" +"	return out;\n" +"}\n" +"__inline\n" +"b3Mat3x3 mtMul(b3Mat3x3 a, b3Mat3x3 b)\n" +"{\n" +"	b3Mat3x3 transB;\n" +"	transB = mtTranspose( b );\n" +"	b3Mat3x3 ans;\n" +"	//	why this doesn't run when 0ing in the for{}\n" +"	a.m_row[0].w = 0.f;\n" +"	a.m_row[1].w = 0.f;\n" +"	a.m_row[2].w = 0.f;\n" +"	for(int i=0; i<3; i++)\n" +"	{\n" +"//	a.m_row[i].w = 0.f;\n" +"		ans.m_row[i].x = b3Dot3F4(a.m_row[i],transB.m_row[0]);\n" +"		ans.m_row[i].y = b3Dot3F4(a.m_row[i],transB.m_row[1]);\n" +"		ans.m_row[i].z = b3Dot3F4(a.m_row[i],transB.m_row[2]);\n" +"		ans.m_row[i].w = 0.f;\n" +"	}\n" +"	return ans;\n" +"}\n" +"__inline\n" +"b3Float4 mtMul1(b3Mat3x3 a, b3Float4 b)\n" +"{\n" +"	b3Float4 ans;\n" +"	ans.x = b3Dot3F4( a.m_row[0], b );\n" +"	ans.y = b3Dot3F4( a.m_row[1], b );\n" +"	ans.z = b3Dot3F4( a.m_row[2], b );\n" +"	ans.w = 0.f;\n" +"	return ans;\n" +"}\n" +"__inline\n" +"b3Float4 mtMul3(b3Float4 a, b3Mat3x3 b)\n" +"{\n" +"	b3Float4 colx = b3MakeFloat4(b.m_row[0].x, b.m_row[1].x, b.m_row[2].x, 0);\n" +"	b3Float4 coly = b3MakeFloat4(b.m_row[0].y, b.m_row[1].y, b.m_row[2].y, 0);\n" +"	b3Float4 colz = b3MakeFloat4(b.m_row[0].z, b.m_row[1].z, b.m_row[2].z, 0);\n" +"	b3Float4 ans;\n" +"	ans.x = b3Dot3F4( a, colx );\n" +"	ans.y = b3Dot3F4( a, coly );\n" +"	ans.z = b3Dot3F4( a, colz );\n" +"	return ans;\n" +"}\n" +"#endif\n" +"#endif //B3_MAT3x3_H\n" +"typedef struct b3RigidBodyData b3RigidBodyData_t;\n" +"struct b3RigidBodyData\n" +"{\n" +"	b3Float4				m_pos;\n" +"	b3Quat					m_quat;\n" +"	b3Float4				m_linVel;\n" +"	b3Float4				m_angVel;\n" +"	int 					m_collidableIdx;\n" +"	float 				m_invMass;\n" +"	float 				m_restituitionCoeff;\n" +"	float 				m_frictionCoeff;\n" +"};\n" +"typedef struct b3InertiaData b3InertiaData_t;\n" +"struct b3InertiaData\n" +"{\n" +"	b3Mat3x3 m_invInertiaWorld;\n" +"	b3Mat3x3 m_initInvInertia;\n" +"};\n" +"#endif //B3_RIGIDBODY_DATA_H\n" +"	\n" +"#ifndef B3_CONVEX_POLYHEDRON_DATA_H\n" +"#define B3_CONVEX_POLYHEDRON_DATA_H\n" +"#ifndef B3_FLOAT4_H\n" +"#ifdef __cplusplus\n" +"#else\n" +"#endif \n" +"#endif //B3_FLOAT4_H\n" +"#ifndef B3_QUAT_H\n" +"#ifdef __cplusplus\n" +"#else\n" +"#endif \n" +"#endif //B3_QUAT_H\n" +"typedef struct b3GpuFace b3GpuFace_t;\n" +"struct b3GpuFace\n" +"{\n" +"	b3Float4 m_plane;\n" +"	int m_indexOffset;\n" +"	int m_numIndices;\n" +"	int m_unusedPadding1;\n" +"	int m_unusedPadding2;\n" +"};\n" +"typedef struct b3ConvexPolyhedronData b3ConvexPolyhedronData_t;\n" +"struct b3ConvexPolyhedronData\n" +"{\n" +"	b3Float4		m_localCenter;\n" +"	b3Float4		m_extents;\n" +"	b3Float4		mC;\n" +"	b3Float4		mE;\n" +"	float			m_radius;\n" +"	int	m_faceOffset;\n" +"	int m_numFaces;\n" +"	int	m_numVertices;\n" +"	int m_vertexOffset;\n" +"	int	m_uniqueEdgesOffset;\n" +"	int	m_numUniqueEdges;\n" +"	int m_unused;\n" +"};\n" +"#endif //B3_CONVEX_POLYHEDRON_DATA_H\n" +"#ifndef B3_COLLIDABLE_H\n" +"#define B3_COLLIDABLE_H\n" +"#ifndef B3_FLOAT4_H\n" +"#ifdef __cplusplus\n" +"#else\n" +"#endif \n" +"#endif //B3_FLOAT4_H\n" +"#ifndef B3_QUAT_H\n" +"#ifdef __cplusplus\n" +"#else\n" +"#endif \n" +"#endif //B3_QUAT_H\n" +"enum b3ShapeTypes\n" +"{\n" +"	SHAPE_HEIGHT_FIELD=1,\n" +"	SHAPE_CONVEX_HULL=3,\n" +"	SHAPE_PLANE=4,\n" +"	SHAPE_CONCAVE_TRIMESH=5,\n" +"	SHAPE_COMPOUND_OF_CONVEX_HULLS=6,\n" +"	SHAPE_SPHERE=7,\n" +"	MAX_NUM_SHAPE_TYPES,\n" +"};\n" +"typedef struct b3Collidable b3Collidable_t;\n" +"struct b3Collidable\n" +"{\n" +"	union {\n" +"		int m_numChildShapes;\n" +"		int m_bvhIndex;\n" +"	};\n" +"	union\n" +"	{\n" +"		float m_radius;\n" +"		int	m_compoundBvhIndex;\n" +"	};\n" +"	int m_shapeType;\n" +"	int m_shapeIndex;\n" +"};\n" +"typedef struct b3GpuChildShape b3GpuChildShape_t;\n" +"struct b3GpuChildShape\n" +"{\n" +"	b3Float4	m_childPosition;\n" +"	b3Quat		m_childOrientation;\n" +"	int m_shapeIndex;\n" +"	int m_unused0;\n" +"	int m_unused1;\n" +"	int m_unused2;\n" +"};\n" +"struct b3CompoundOverlappingPair\n" +"{\n" +"	int m_bodyIndexA;\n" +"	int m_bodyIndexB;\n" +"//	int	m_pairType;\n" +"	int m_childShapeIndexA;\n" +"	int m_childShapeIndexB;\n" +"};\n" +"#endif //B3_COLLIDABLE_H\n" +"#ifdef __cplusplus\n" +"#else\n" +"#define B3_MPR_SQRT sqrt\n" +"#endif\n" +"#define B3_MPR_FMIN(x, y) ((x) < (y) ? (x) : (y))\n" +"#define B3_MPR_FABS fabs\n" +"#define B3_MPR_TOLERANCE 1E-6f\n" +"#define B3_MPR_MAX_ITERATIONS 1000\n" +"struct _b3MprSupport_t \n" +"{\n" +"    b3Float4 v;  //!< Support point in minkowski sum\n" +"    b3Float4 v1; //!< Support point in obj1\n" +"    b3Float4 v2; //!< Support point in obj2\n" +"};\n" +"typedef struct _b3MprSupport_t b3MprSupport_t;\n" +"struct _b3MprSimplex_t \n" +"{\n" +"    b3MprSupport_t ps[4];\n" +"    int last; //!< index of last added point\n" +"};\n" +"typedef struct _b3MprSimplex_t b3MprSimplex_t;\n" +"inline b3MprSupport_t* b3MprSimplexPointW(b3MprSimplex_t *s, int idx)\n" +"{\n" +"    return &s->ps[idx];\n" +"}\n" +"inline void b3MprSimplexSetSize(b3MprSimplex_t *s, int size)\n" +"{\n" +"    s->last = size - 1;\n" +"}\n" +"inline int b3MprSimplexSize(const b3MprSimplex_t *s)\n" +"{\n" +"    return s->last + 1;\n" +"}\n" +"inline const b3MprSupport_t* b3MprSimplexPoint(const b3MprSimplex_t* s, int idx)\n" +"{\n" +"    // here is no check on boundaries\n" +"    return &s->ps[idx];\n" +"}\n" +"inline void b3MprSupportCopy(b3MprSupport_t *d, const b3MprSupport_t *s)\n" +"{\n" +"    *d = *s;\n" +"}\n" +"inline void b3MprSimplexSet(b3MprSimplex_t *s, size_t pos, const b3MprSupport_t *a)\n" +"{\n" +"    b3MprSupportCopy(s->ps + pos, a);\n" +"}\n" +"inline void b3MprSimplexSwap(b3MprSimplex_t *s, size_t pos1, size_t pos2)\n" +"{\n" +"    b3MprSupport_t supp;\n" +"    b3MprSupportCopy(&supp, &s->ps[pos1]);\n" +"    b3MprSupportCopy(&s->ps[pos1], &s->ps[pos2]);\n" +"    b3MprSupportCopy(&s->ps[pos2], &supp);\n" +"}\n" +"inline int b3MprIsZero(float val)\n" +"{\n" +"    return B3_MPR_FABS(val) < FLT_EPSILON;\n" +"}\n" +"inline int b3MprEq(float _a, float _b)\n" +"{\n" +"    float ab;\n" +"    float a, b;\n" +"    ab = B3_MPR_FABS(_a - _b);\n" +"    if (B3_MPR_FABS(ab) < FLT_EPSILON)\n" +"        return 1;\n" +"    a = B3_MPR_FABS(_a);\n" +"    b = B3_MPR_FABS(_b);\n" +"    if (b > a){\n" +"        return ab < FLT_EPSILON * b;\n" +"    }else{\n" +"        return ab < FLT_EPSILON * a;\n" +"    }\n" +"}\n" +"inline int b3MprVec3Eq(const b3Float4* a, const b3Float4 *b)\n" +"{\n" +"    return b3MprEq((*a).x, (*b).x)\n" +"            && b3MprEq((*a).y, (*b).y)\n" +"            && b3MprEq((*a).z, (*b).z);\n" +"}\n" +"inline b3Float4 b3LocalGetSupportVertex(b3Float4ConstArg supportVec,__global const b3ConvexPolyhedronData_t* hull, 	b3ConstArray(b3Float4) verticesA)\n" +"{\n" +"	b3Float4 supVec = b3MakeFloat4(0,0,0,0);\n" +"	float maxDot = -B3_LARGE_FLOAT;\n" +"    if( 0 < hull->m_numVertices )\n" +"    {\n" +"        const b3Float4 scaled = supportVec;\n" +"		int index = b3MaxDot(scaled, &verticesA[hull->m_vertexOffset], hull->m_numVertices, &maxDot);\n" +"        return verticesA[hull->m_vertexOffset+index];\n" +"    }\n" +"    return supVec;\n" +"}\n" +"B3_STATIC void b3MprConvexSupport(int pairIndex,int bodyIndex,  b3ConstArray(b3RigidBodyData_t) cpuBodyBuf, \n" +"													b3ConstArray(b3ConvexPolyhedronData_t) cpuConvexData, \n" +"													b3ConstArray(b3Collidable_t)				cpuCollidables,\n" +"													b3ConstArray(b3Float4)					cpuVertices,\n" +"													__global b3Float4* sepAxis,\n" +"														const b3Float4* _dir, b3Float4* outp, int logme)\n" +"{\n" +"	//dir is in worldspace, move to local space\n" +"	\n" +"	b3Float4 pos = cpuBodyBuf[bodyIndex].m_pos;\n" +"	b3Quat orn = cpuBodyBuf[bodyIndex].m_quat;\n" +"	\n" +"	b3Float4 dir = b3MakeFloat4((*_dir).x,(*_dir).y,(*_dir).z,0.f);\n" +"	\n" +"	const b3Float4 localDir = b3QuatRotate(b3QuatInverse(orn),dir);\n" +"	\n" +"	//find local support vertex\n" +"	int colIndex = cpuBodyBuf[bodyIndex].m_collidableIdx;\n" +"	\n" +"	b3Assert(cpuCollidables[colIndex].m_shapeType==SHAPE_CONVEX_HULL);\n" +"	__global const b3ConvexPolyhedronData_t* hull = &cpuConvexData[cpuCollidables[colIndex].m_shapeIndex];\n" +"	\n" +"	b3Float4 pInA;\n" +"	if (logme)\n" +"	{\n" +"		b3Float4 supVec = b3MakeFloat4(0,0,0,0);\n" +"		float maxDot = -B3_LARGE_FLOAT;\n" +"		if( 0 < hull->m_numVertices )\n" +"		{\n" +"			const b3Float4 scaled = localDir;\n" +"			int index = b3MaxDot(scaled, &cpuVertices[hull->m_vertexOffset], hull->m_numVertices, &maxDot);\n" +"			pInA = cpuVertices[hull->m_vertexOffset+index];\n" +"			\n" +"		}\n" +"	} else\n" +"	{\n" +"		pInA = b3LocalGetSupportVertex(localDir,hull,cpuVertices);\n" +"	}\n" +"	//move vertex to world space\n" +"	*outp = b3TransformPoint(pInA,pos,orn);\n" +"	\n" +"}\n" +"inline void b3MprSupport(int pairIndex,int bodyIndexA, int bodyIndexB,   b3ConstArray(b3RigidBodyData_t) cpuBodyBuf, \n" +"													b3ConstArray(b3ConvexPolyhedronData_t) cpuConvexData, \n" +"													b3ConstArray(b3Collidable_t)				cpuCollidables,\n" +"													b3ConstArray(b3Float4)					cpuVertices,\n" +"													__global b3Float4* sepAxis,\n" +"													const b3Float4* _dir, b3MprSupport_t *supp)\n" +"{\n" +"    b3Float4 dir;\n" +"	dir = *_dir;\n" +"	b3MprConvexSupport(pairIndex,bodyIndexA,cpuBodyBuf,cpuConvexData,cpuCollidables,cpuVertices,sepAxis,&dir, &supp->v1,0);\n" +"    dir = *_dir*-1.f;\n" +"	b3MprConvexSupport(pairIndex,bodyIndexB,cpuBodyBuf,cpuConvexData,cpuCollidables,cpuVertices,sepAxis,&dir, &supp->v2,0);\n" +"    supp->v = supp->v1 - supp->v2;\n" +"}\n" +"inline void b3FindOrigin(int bodyIndexA, int bodyIndexB, b3ConstArray(b3RigidBodyData_t) cpuBodyBuf, b3MprSupport_t *center)\n" +"{\n" +"    center->v1 = cpuBodyBuf[bodyIndexA].m_pos;\n" +"	center->v2 = cpuBodyBuf[bodyIndexB].m_pos;\n" +"    center->v = center->v1 - center->v2;\n" +"}\n" +"inline void b3MprVec3Set(b3Float4 *v, float x, float y, float z)\n" +"{\n" +"	(*v).x = x;\n" +"	(*v).y = y;\n" +"	(*v).z = z;\n" +"	(*v).w = 0.f;\n" +"}\n" +"inline void b3MprVec3Add(b3Float4 *v, const b3Float4 *w)\n" +"{\n" +"    (*v).x += (*w).x;\n" +"    (*v).y += (*w).y;\n" +"    (*v).z += (*w).z;\n" +"}\n" +"inline void b3MprVec3Copy(b3Float4 *v, const b3Float4 *w)\n" +"{\n" +"    *v = *w;\n" +"}\n" +"inline void b3MprVec3Scale(b3Float4 *d, float k)\n" +"{\n" +"    *d *= k;\n" +"}\n" +"inline float b3MprVec3Dot(const b3Float4 *a, const b3Float4 *b)\n" +"{\n" +"    float dot;\n" +"	dot = b3Dot3F4(*a,*b);\n" +"    return dot;\n" +"}\n" +"inline float b3MprVec3Len2(const b3Float4 *v)\n" +"{\n" +"    return b3MprVec3Dot(v, v);\n" +"}\n" +"inline void b3MprVec3Normalize(b3Float4 *d)\n" +"{\n" +"    float k = 1.f / B3_MPR_SQRT(b3MprVec3Len2(d));\n" +"    b3MprVec3Scale(d, k);\n" +"}\n" +"inline void b3MprVec3Cross(b3Float4 *d, const b3Float4 *a, const b3Float4 *b)\n" +"{\n" +"	*d = b3Cross3(*a,*b);\n" +"	\n" +"}\n" +"inline void b3MprVec3Sub2(b3Float4 *d, const b3Float4 *v, const b3Float4 *w)\n" +"{\n" +"	*d = *v - *w;\n" +"}\n" +"inline void b3PortalDir(const b3MprSimplex_t *portal, b3Float4 *dir)\n" +"{\n" +"    b3Float4 v2v1, v3v1;\n" +"    b3MprVec3Sub2(&v2v1, &b3MprSimplexPoint(portal, 2)->v,\n" +"                       &b3MprSimplexPoint(portal, 1)->v);\n" +"    b3MprVec3Sub2(&v3v1, &b3MprSimplexPoint(portal, 3)->v,\n" +"                       &b3MprSimplexPoint(portal, 1)->v);\n" +"    b3MprVec3Cross(dir, &v2v1, &v3v1);\n" +"    b3MprVec3Normalize(dir);\n" +"}\n" +"inline int portalEncapsulesOrigin(const b3MprSimplex_t *portal,\n" +"                                       const b3Float4 *dir)\n" +"{\n" +"    float dot;\n" +"    dot = b3MprVec3Dot(dir, &b3MprSimplexPoint(portal, 1)->v);\n" +"    return b3MprIsZero(dot) || dot > 0.f;\n" +"}\n" +"inline int portalReachTolerance(const b3MprSimplex_t *portal,\n" +"                                     const b3MprSupport_t *v4,\n" +"                                     const b3Float4 *dir)\n" +"{\n" +"    float dv1, dv2, dv3, dv4;\n" +"    float dot1, dot2, dot3;\n" +"    // find the smallest dot product of dir and {v1-v4, v2-v4, v3-v4}\n" +"    dv1 = b3MprVec3Dot(&b3MprSimplexPoint(portal, 1)->v, dir);\n" +"    dv2 = b3MprVec3Dot(&b3MprSimplexPoint(portal, 2)->v, dir);\n" +"    dv3 = b3MprVec3Dot(&b3MprSimplexPoint(portal, 3)->v, dir);\n" +"    dv4 = b3MprVec3Dot(&v4->v, dir);\n" +"    dot1 = dv4 - dv1;\n" +"    dot2 = dv4 - dv2;\n" +"    dot3 = dv4 - dv3;\n" +"    dot1 = B3_MPR_FMIN(dot1, dot2);\n" +"    dot1 = B3_MPR_FMIN(dot1, dot3);\n" +"    return b3MprEq(dot1, B3_MPR_TOLERANCE) || dot1 < B3_MPR_TOLERANCE;\n" +"}\n" +"inline int portalCanEncapsuleOrigin(const b3MprSimplex_t *portal,   \n" +"                                         const b3MprSupport_t *v4,\n" +"                                         const b3Float4 *dir)\n" +"{\n" +"    float dot;\n" +"    dot = b3MprVec3Dot(&v4->v, dir);\n" +"    return b3MprIsZero(dot) || dot > 0.f;\n" +"}\n" +"inline void b3ExpandPortal(b3MprSimplex_t *portal,\n" +"                              const b3MprSupport_t *v4)\n" +"{\n" +"    float dot;\n" +"    b3Float4 v4v0;\n" +"    b3MprVec3Cross(&v4v0, &v4->v, &b3MprSimplexPoint(portal, 0)->v);\n" +"    dot = b3MprVec3Dot(&b3MprSimplexPoint(portal, 1)->v, &v4v0);\n" +"    if (dot > 0.f){\n" +"        dot = b3MprVec3Dot(&b3MprSimplexPoint(portal, 2)->v, &v4v0);\n" +"        if (dot > 0.f){\n" +"            b3MprSimplexSet(portal, 1, v4);\n" +"        }else{\n" +"            b3MprSimplexSet(portal, 3, v4);\n" +"        }\n" +"    }else{\n" +"        dot = b3MprVec3Dot(&b3MprSimplexPoint(portal, 3)->v, &v4v0);\n" +"        if (dot > 0.f){\n" +"            b3MprSimplexSet(portal, 2, v4);\n" +"        }else{\n" +"            b3MprSimplexSet(portal, 1, v4);\n" +"        }\n" +"    }\n" +"}\n" +"B3_STATIC int b3DiscoverPortal(int pairIndex, int bodyIndexA, int bodyIndexB,  b3ConstArray(b3RigidBodyData_t) cpuBodyBuf, \n" +"													b3ConstArray(b3ConvexPolyhedronData_t) cpuConvexData, \n" +"													b3ConstArray(b3Collidable_t)				cpuCollidables,\n" +"													b3ConstArray(b3Float4)					cpuVertices,\n" +"													__global b3Float4* sepAxis,\n" +"													__global int*	hasSepAxis,\n" +"													b3MprSimplex_t *portal)\n" +"{\n" +"    b3Float4 dir, va, vb;\n" +"    float dot;\n" +"    int cont;\n" +"	\n" +"	\n" +"    // vertex 0 is center of portal\n" +"    b3FindOrigin(bodyIndexA,bodyIndexB,cpuBodyBuf, b3MprSimplexPointW(portal, 0));\n" +"    // vertex 0 is center of portal\n" +"    b3MprSimplexSetSize(portal, 1);\n" +"	\n" +"	b3Float4 zero = b3MakeFloat4(0,0,0,0);\n" +"	b3Float4* b3mpr_vec3_origin = &zero;\n" +"    if (b3MprVec3Eq(&b3MprSimplexPoint(portal, 0)->v, b3mpr_vec3_origin)){\n" +"        // Portal's center lies on origin (0,0,0) => we know that objects\n" +"        // intersect but we would need to know penetration info.\n" +"        // So move center little bit...\n" +"        b3MprVec3Set(&va, FLT_EPSILON * 10.f, 0.f, 0.f);\n" +"        b3MprVec3Add(&b3MprSimplexPointW(portal, 0)->v, &va);\n" +"    }\n" +"    // vertex 1 = support in direction of origin\n" +"    b3MprVec3Copy(&dir, &b3MprSimplexPoint(portal, 0)->v);\n" +"    b3MprVec3Scale(&dir, -1.f);\n" +"    b3MprVec3Normalize(&dir);\n" +"    b3MprSupport(pairIndex,bodyIndexA,bodyIndexB,cpuBodyBuf,cpuConvexData,cpuCollidables,cpuVertices, sepAxis,&dir, b3MprSimplexPointW(portal, 1));\n" +"    b3MprSimplexSetSize(portal, 2);\n" +"    // test if origin isn't outside of v1\n" +"    dot = b3MprVec3Dot(&b3MprSimplexPoint(portal, 1)->v, &dir);\n" +"	\n" +"    if (b3MprIsZero(dot) || dot < 0.f)\n" +"        return -1;\n" +"    // vertex 2\n" +"    b3MprVec3Cross(&dir, &b3MprSimplexPoint(portal, 0)->v,\n" +"                       &b3MprSimplexPoint(portal, 1)->v);\n" +"    if (b3MprIsZero(b3MprVec3Len2(&dir))){\n" +"        if (b3MprVec3Eq(&b3MprSimplexPoint(portal, 1)->v, b3mpr_vec3_origin)){\n" +"            // origin lies on v1\n" +"            return 1;\n" +"        }else{\n" +"            // origin lies on v0-v1 segment\n" +"            return 2;\n" +"        }\n" +"    }\n" +"    b3MprVec3Normalize(&dir);\n" +"	 b3MprSupport(pairIndex,bodyIndexA,bodyIndexB,cpuBodyBuf,cpuConvexData,cpuCollidables,cpuVertices, sepAxis,&dir, b3MprSimplexPointW(portal, 2));\n" +"    \n" +"    dot = b3MprVec3Dot(&b3MprSimplexPoint(portal, 2)->v, &dir);\n" +"    if (b3MprIsZero(dot) || dot < 0.f)\n" +"        return -1;\n" +"    b3MprSimplexSetSize(portal, 3);\n" +"    // vertex 3 direction\n" +"    b3MprVec3Sub2(&va, &b3MprSimplexPoint(portal, 1)->v,\n" +"                     &b3MprSimplexPoint(portal, 0)->v);\n" +"    b3MprVec3Sub2(&vb, &b3MprSimplexPoint(portal, 2)->v,\n" +"                     &b3MprSimplexPoint(portal, 0)->v);\n" +"    b3MprVec3Cross(&dir, &va, &vb);\n" +"    b3MprVec3Normalize(&dir);\n" +"    // it is better to form portal faces to be oriented \"outside\" origin\n" +"    dot = b3MprVec3Dot(&dir, &b3MprSimplexPoint(portal, 0)->v);\n" +"    if (dot > 0.f){\n" +"        b3MprSimplexSwap(portal, 1, 2);\n" +"        b3MprVec3Scale(&dir, -1.f);\n" +"    }\n" +"    while (b3MprSimplexSize(portal) < 4){\n" +"		 b3MprSupport(pairIndex,bodyIndexA,bodyIndexB,cpuBodyBuf,cpuConvexData,cpuCollidables,cpuVertices, sepAxis,&dir, b3MprSimplexPointW(portal, 3));\n" +"        \n" +"        dot = b3MprVec3Dot(&b3MprSimplexPoint(portal, 3)->v, &dir);\n" +"        if (b3MprIsZero(dot) || dot < 0.f)\n" +"            return -1;\n" +"        cont = 0;\n" +"        // test if origin is outside (v1, v0, v3) - set v2 as v3 and\n" +"        // continue\n" +"        b3MprVec3Cross(&va, &b3MprSimplexPoint(portal, 1)->v,\n" +"                          &b3MprSimplexPoint(portal, 3)->v);\n" +"        dot = b3MprVec3Dot(&va, &b3MprSimplexPoint(portal, 0)->v);\n" +"        if (dot < 0.f && !b3MprIsZero(dot)){\n" +"            b3MprSimplexSet(portal, 2, b3MprSimplexPoint(portal, 3));\n" +"            cont = 1;\n" +"        }\n" +"        if (!cont){\n" +"            // test if origin is outside (v3, v0, v2) - set v1 as v3 and\n" +"            // continue\n" +"            b3MprVec3Cross(&va, &b3MprSimplexPoint(portal, 3)->v,\n" +"                              &b3MprSimplexPoint(portal, 2)->v);\n" +"            dot = b3MprVec3Dot(&va, &b3MprSimplexPoint(portal, 0)->v);\n" +"            if (dot < 0.f && !b3MprIsZero(dot)){\n" +"                b3MprSimplexSet(portal, 1, b3MprSimplexPoint(portal, 3));\n" +"                cont = 1;\n" +"            }\n" +"        }\n" +"        if (cont){\n" +"            b3MprVec3Sub2(&va, &b3MprSimplexPoint(portal, 1)->v,\n" +"                             &b3MprSimplexPoint(portal, 0)->v);\n" +"            b3MprVec3Sub2(&vb, &b3MprSimplexPoint(portal, 2)->v,\n" +"                             &b3MprSimplexPoint(portal, 0)->v);\n" +"            b3MprVec3Cross(&dir, &va, &vb);\n" +"            b3MprVec3Normalize(&dir);\n" +"        }else{\n" +"            b3MprSimplexSetSize(portal, 4);\n" +"        }\n" +"    }\n" +"    return 0;\n" +"}\n" +"B3_STATIC int b3RefinePortal(int pairIndex,int bodyIndexA, int bodyIndexB,  b3ConstArray(b3RigidBodyData_t) cpuBodyBuf, \n" +"													b3ConstArray(b3ConvexPolyhedronData_t) cpuConvexData, \n" +"													b3ConstArray(b3Collidable_t)				cpuCollidables,\n" +"													b3ConstArray(b3Float4)					cpuVertices,\n" +"													__global b3Float4* sepAxis,\n" +"													b3MprSimplex_t *portal)\n" +"{\n" +"    b3Float4 dir;\n" +"    b3MprSupport_t v4;\n" +"	for (int i=0;i<B3_MPR_MAX_ITERATIONS;i++)\n" +"    //while (1)\n" +"	{\n" +"        // compute direction outside the portal (from v0 throught v1,v2,v3\n" +"        // face)\n" +"        b3PortalDir(portal, &dir);\n" +"        // test if origin is inside the portal\n" +"        if (portalEncapsulesOrigin(portal, &dir))\n" +"            return 0;\n" +"        // get next support point\n" +"        \n" +"		 b3MprSupport(pairIndex,bodyIndexA,bodyIndexB,cpuBodyBuf,cpuConvexData,cpuCollidables,cpuVertices, sepAxis,&dir, &v4);\n" +"        // test if v4 can expand portal to contain origin and if portal\n" +"        // expanding doesn't reach given tolerance\n" +"        if (!portalCanEncapsuleOrigin(portal, &v4, &dir)\n" +"                || portalReachTolerance(portal, &v4, &dir))\n" +"		{\n" +"            return -1;\n" +"        }\n" +"        // v1-v2-v3 triangle must be rearranged to face outside Minkowski\n" +"        // difference (direction from v0).\n" +"        b3ExpandPortal(portal, &v4);\n" +"    }\n" +"    return -1;\n" +"}\n" +"B3_STATIC void b3FindPos(const b3MprSimplex_t *portal, b3Float4 *pos)\n" +"{\n" +"	b3Float4 zero = b3MakeFloat4(0,0,0,0);\n" +"	b3Float4* b3mpr_vec3_origin = &zero;\n" +"    b3Float4 dir;\n" +"    size_t i;\n" +"    float b[4], sum, inv;\n" +"    b3Float4 vec, p1, p2;\n" +"    b3PortalDir(portal, &dir);\n" +"    // use barycentric coordinates of tetrahedron to find origin\n" +"    b3MprVec3Cross(&vec, &b3MprSimplexPoint(portal, 1)->v,\n" +"                       &b3MprSimplexPoint(portal, 2)->v);\n" +"    b[0] = b3MprVec3Dot(&vec, &b3MprSimplexPoint(portal, 3)->v);\n" +"    b3MprVec3Cross(&vec, &b3MprSimplexPoint(portal, 3)->v,\n" +"                       &b3MprSimplexPoint(portal, 2)->v);\n" +"    b[1] = b3MprVec3Dot(&vec, &b3MprSimplexPoint(portal, 0)->v);\n" +"    b3MprVec3Cross(&vec, &b3MprSimplexPoint(portal, 0)->v,\n" +"                       &b3MprSimplexPoint(portal, 1)->v);\n" +"    b[2] = b3MprVec3Dot(&vec, &b3MprSimplexPoint(portal, 3)->v);\n" +"    b3MprVec3Cross(&vec, &b3MprSimplexPoint(portal, 2)->v,\n" +"                       &b3MprSimplexPoint(portal, 1)->v);\n" +"    b[3] = b3MprVec3Dot(&vec, &b3MprSimplexPoint(portal, 0)->v);\n" +"	sum = b[0] + b[1] + b[2] + b[3];\n" +"    if (b3MprIsZero(sum) || sum < 0.f){\n" +"		b[0] = 0.f;\n" +"        b3MprVec3Cross(&vec, &b3MprSimplexPoint(portal, 2)->v,\n" +"                           &b3MprSimplexPoint(portal, 3)->v);\n" +"        b[1] = b3MprVec3Dot(&vec, &dir);\n" +"        b3MprVec3Cross(&vec, &b3MprSimplexPoint(portal, 3)->v,\n" +"                           &b3MprSimplexPoint(portal, 1)->v);\n" +"        b[2] = b3MprVec3Dot(&vec, &dir);\n" +"        b3MprVec3Cross(&vec, &b3MprSimplexPoint(portal, 1)->v,\n" +"                           &b3MprSimplexPoint(portal, 2)->v);\n" +"        b[3] = b3MprVec3Dot(&vec, &dir);\n" +"		sum = b[1] + b[2] + b[3];\n" +"	}\n" +"	inv = 1.f / sum;\n" +"    b3MprVec3Copy(&p1, b3mpr_vec3_origin);\n" +"    b3MprVec3Copy(&p2, b3mpr_vec3_origin);\n" +"    for (i = 0; i < 4; i++){\n" +"        b3MprVec3Copy(&vec, &b3MprSimplexPoint(portal, i)->v1);\n" +"        b3MprVec3Scale(&vec, b[i]);\n" +"        b3MprVec3Add(&p1, &vec);\n" +"        b3MprVec3Copy(&vec, &b3MprSimplexPoint(portal, i)->v2);\n" +"        b3MprVec3Scale(&vec, b[i]);\n" +"        b3MprVec3Add(&p2, &vec);\n" +"    }\n" +"    b3MprVec3Scale(&p1, inv);\n" +"    b3MprVec3Scale(&p2, inv);\n" +"    b3MprVec3Copy(pos, &p1);\n" +"    b3MprVec3Add(pos, &p2);\n" +"    b3MprVec3Scale(pos, 0.5);\n" +"}\n" +"inline float b3MprVec3Dist2(const b3Float4 *a, const b3Float4 *b)\n" +"{\n" +"    b3Float4 ab;\n" +"    b3MprVec3Sub2(&ab, a, b);\n" +"    return b3MprVec3Len2(&ab);\n" +"}\n" +"inline float _b3MprVec3PointSegmentDist2(const b3Float4 *P,\n" +"                                                  const b3Float4 *x0,\n" +"                                                  const b3Float4 *b,\n" +"                                                  b3Float4 *witness)\n" +"{\n" +"    // The computation comes from solving equation of segment:\n" +"    //      S(t) = x0 + t.d\n" +"    //          where - x0 is initial point of segment\n" +"    //                - d is direction of segment from x0 (|d| > 0)\n" +"    //                - t belongs to <0, 1> interval\n" +"    // \n" +"    // Than, distance from a segment to some point P can be expressed:\n" +"    //      D(t) = |x0 + t.d - P|^2\n" +"    //          which is distance from any point on segment. Minimization\n" +"    //          of this function brings distance from P to segment.\n" +"    // Minimization of D(t) leads to simple quadratic equation that's\n" +"    // solving is straightforward.\n" +"    //\n" +"    // Bonus of this method is witness point for free.\n" +"    float dist, t;\n" +"    b3Float4 d, a;\n" +"    // direction of segment\n" +"    b3MprVec3Sub2(&d, b, x0);\n" +"    // precompute vector from P to x0\n" +"    b3MprVec3Sub2(&a, x0, P);\n" +"    t  = -1.f * b3MprVec3Dot(&a, &d);\n" +"    t /= b3MprVec3Len2(&d);\n" +"    if (t < 0.f || b3MprIsZero(t)){\n" +"        dist = b3MprVec3Dist2(x0, P);\n" +"        if (witness)\n" +"            b3MprVec3Copy(witness, x0);\n" +"    }else if (t > 1.f || b3MprEq(t, 1.f)){\n" +"        dist = b3MprVec3Dist2(b, P);\n" +"        if (witness)\n" +"            b3MprVec3Copy(witness, b);\n" +"    }else{\n" +"        if (witness){\n" +"            b3MprVec3Copy(witness, &d);\n" +"            b3MprVec3Scale(witness, t);\n" +"            b3MprVec3Add(witness, x0);\n" +"            dist = b3MprVec3Dist2(witness, P);\n" +"        }else{\n" +"            // recycling variables\n" +"            b3MprVec3Scale(&d, t);\n" +"            b3MprVec3Add(&d, &a);\n" +"            dist = b3MprVec3Len2(&d);\n" +"        }\n" +"    }\n" +"    return dist;\n" +"}\n" +"inline float b3MprVec3PointTriDist2(const b3Float4 *P,\n" +"                                const b3Float4 *x0, const b3Float4 *B,\n" +"                                const b3Float4 *C,\n" +"                                b3Float4 *witness)\n" +"{\n" +"    // Computation comes from analytic expression for triangle (x0, B, C)\n" +"    //      T(s, t) = x0 + s.d1 + t.d2, where d1 = B - x0 and d2 = C - x0 and\n" +"    // Then equation for distance is:\n" +"    //      D(s, t) = | T(s, t) - P |^2\n" +"    // This leads to minimization of quadratic function of two variables.\n" +"    // The solution from is taken only if s is between 0 and 1, t is\n" +"    // between 0 and 1 and t + s < 1, otherwise distance from segment is\n" +"    // computed.\n" +"    b3Float4 d1, d2, a;\n" +"    float u, v, w, p, q, r;\n" +"    float s, t, dist, dist2;\n" +"    b3Float4 witness2;\n" +"    b3MprVec3Sub2(&d1, B, x0);\n" +"    b3MprVec3Sub2(&d2, C, x0);\n" +"    b3MprVec3Sub2(&a, x0, P);\n" +"    u = b3MprVec3Dot(&a, &a);\n" +"    v = b3MprVec3Dot(&d1, &d1);\n" +"    w = b3MprVec3Dot(&d2, &d2);\n" +"    p = b3MprVec3Dot(&a, &d1);\n" +"    q = b3MprVec3Dot(&a, &d2);\n" +"    r = b3MprVec3Dot(&d1, &d2);\n" +"    s = (q * r - w * p) / (w * v - r * r);\n" +"    t = (-s * r - q) / w;\n" +"    if ((b3MprIsZero(s) || s > 0.f)\n" +"            && (b3MprEq(s, 1.f) || s < 1.f)\n" +"            && (b3MprIsZero(t) || t > 0.f)\n" +"            && (b3MprEq(t, 1.f) || t < 1.f)\n" +"            && (b3MprEq(t + s, 1.f) || t + s < 1.f)){\n" +"        if (witness){\n" +"            b3MprVec3Scale(&d1, s);\n" +"            b3MprVec3Scale(&d2, t);\n" +"            b3MprVec3Copy(witness, x0);\n" +"            b3MprVec3Add(witness, &d1);\n" +"            b3MprVec3Add(witness, &d2);\n" +"            dist = b3MprVec3Dist2(witness, P);\n" +"        }else{\n" +"            dist  = s * s * v;\n" +"            dist += t * t * w;\n" +"            dist += 2.f * s * t * r;\n" +"            dist += 2.f * s * p;\n" +"            dist += 2.f * t * q;\n" +"            dist += u;\n" +"        }\n" +"    }else{\n" +"        dist = _b3MprVec3PointSegmentDist2(P, x0, B, witness);\n" +"        dist2 = _b3MprVec3PointSegmentDist2(P, x0, C, &witness2);\n" +"        if (dist2 < dist){\n" +"            dist = dist2;\n" +"            if (witness)\n" +"                b3MprVec3Copy(witness, &witness2);\n" +"        }\n" +"        dist2 = _b3MprVec3PointSegmentDist2(P, B, C, &witness2);\n" +"        if (dist2 < dist){\n" +"            dist = dist2;\n" +"            if (witness)\n" +"                b3MprVec3Copy(witness, &witness2);\n" +"        }\n" +"    }\n" +"    return dist;\n" +"}\n" +"B3_STATIC void b3FindPenetr(int pairIndex,int bodyIndexA, int bodyIndexB,  b3ConstArray(b3RigidBodyData_t) cpuBodyBuf, \n" +"													b3ConstArray(b3ConvexPolyhedronData_t) cpuConvexData, \n" +"													b3ConstArray(b3Collidable_t)				cpuCollidables,\n" +"													b3ConstArray(b3Float4)					cpuVertices,\n" +"													__global b3Float4* sepAxis,\n" +"                       b3MprSimplex_t *portal,\n" +"                       float *depth, b3Float4 *pdir, b3Float4 *pos)\n" +"{\n" +"    b3Float4 dir;\n" +"    b3MprSupport_t v4;\n" +"    unsigned long iterations;\n" +"	b3Float4 zero = b3MakeFloat4(0,0,0,0);\n" +"	b3Float4* b3mpr_vec3_origin = &zero;\n" +"    iterations = 1UL;\n" +"	for (int i=0;i<B3_MPR_MAX_ITERATIONS;i++)\n" +"    //while (1)\n" +"	{\n" +"        // compute portal direction and obtain next support point\n" +"        b3PortalDir(portal, &dir);\n" +"        \n" +"		 b3MprSupport(pairIndex,bodyIndexA,bodyIndexB,cpuBodyBuf,cpuConvexData,cpuCollidables,cpuVertices, sepAxis,&dir, &v4);\n" +"        // reached tolerance -> find penetration info\n" +"        if (portalReachTolerance(portal, &v4, &dir)\n" +"                || iterations ==B3_MPR_MAX_ITERATIONS)\n" +"		{\n" +"            *depth = b3MprVec3PointTriDist2(b3mpr_vec3_origin,&b3MprSimplexPoint(portal, 1)->v,&b3MprSimplexPoint(portal, 2)->v,&b3MprSimplexPoint(portal, 3)->v,pdir);\n" +"            *depth = B3_MPR_SQRT(*depth);\n" +"			\n" +"			if (b3MprIsZero((*pdir).x) && b3MprIsZero((*pdir).y) && b3MprIsZero((*pdir).z))\n" +"			{\n" +"				\n" +"				*pdir = dir;\n" +"			} \n" +"			b3MprVec3Normalize(pdir);\n" +"			\n" +"            // barycentric coordinates:\n" +"            b3FindPos(portal, pos);\n" +"            return;\n" +"        }\n" +"        b3ExpandPortal(portal, &v4);\n" +"        iterations++;\n" +"    }\n" +"}\n" +"B3_STATIC void b3FindPenetrTouch(b3MprSimplex_t *portal,float *depth, b3Float4 *dir, b3Float4 *pos)\n" +"{\n" +"    // Touching contact on portal's v1 - so depth is zero and direction\n" +"    // is unimportant and pos can be guessed\n" +"    *depth = 0.f;\n" +"    b3Float4 zero = b3MakeFloat4(0,0,0,0);\n" +"	b3Float4* b3mpr_vec3_origin = &zero;\n" +"	b3MprVec3Copy(dir, b3mpr_vec3_origin);\n" +"    b3MprVec3Copy(pos, &b3MprSimplexPoint(portal, 1)->v1);\n" +"    b3MprVec3Add(pos, &b3MprSimplexPoint(portal, 1)->v2);\n" +"    b3MprVec3Scale(pos, 0.5);\n" +"}\n" +"B3_STATIC void b3FindPenetrSegment(b3MprSimplex_t *portal,\n" +"                              float *depth, b3Float4 *dir, b3Float4 *pos)\n" +"{\n" +"    \n" +"    // Origin lies on v0-v1 segment.\n" +"    // Depth is distance to v1, direction also and position must be\n" +"    // computed\n" +"    b3MprVec3Copy(pos, &b3MprSimplexPoint(portal, 1)->v1);\n" +"    b3MprVec3Add(pos, &b3MprSimplexPoint(portal, 1)->v2);\n" +"    b3MprVec3Scale(pos, 0.5f);\n" +"    \n" +"    b3MprVec3Copy(dir, &b3MprSimplexPoint(portal, 1)->v);\n" +"    *depth = B3_MPR_SQRT(b3MprVec3Len2(dir));\n" +"    b3MprVec3Normalize(dir);\n" +"}\n" +"inline int b3MprPenetration(int pairIndex, int bodyIndexA, int bodyIndexB,\n" +"					b3ConstArray(b3RigidBodyData_t) cpuBodyBuf,\n" +"					b3ConstArray(b3ConvexPolyhedronData_t) cpuConvexData, \n" +"					b3ConstArray(b3Collidable_t)	cpuCollidables,\n" +"					b3ConstArray(b3Float4)	cpuVertices,\n" +"					__global b3Float4* sepAxis,\n" +"					__global int*	hasSepAxis,\n" +"					float *depthOut, b3Float4* dirOut, b3Float4* posOut)\n" +"{\n" +"	\n" +"	 b3MprSimplex_t portal;\n" +"	 \n" +"//	if (!hasSepAxis[pairIndex])\n" +"	//	return -1;\n" +"	\n" +"	hasSepAxis[pairIndex] = 0;\n" +"	 int res;\n" +"    // Phase 1: Portal discovery\n" +"    res = b3DiscoverPortal(pairIndex,bodyIndexA,bodyIndexB,cpuBodyBuf,cpuConvexData,cpuCollidables,cpuVertices,sepAxis,hasSepAxis, &portal);\n" +"	\n" +"	  \n" +"	//sepAxis[pairIndex] = *pdir;//or -dir?\n" +"	switch (res)\n" +"	{\n" +"	case 0:\n" +"		{\n" +"			// Phase 2: Portal refinement\n" +"		\n" +"			res = b3RefinePortal(pairIndex,bodyIndexA,bodyIndexB,cpuBodyBuf,cpuConvexData,cpuCollidables,cpuVertices, sepAxis,&portal);\n" +"			if (res < 0)\n" +"				return -1;\n" +"			// Phase 3. Penetration info\n" +"			b3FindPenetr(pairIndex,bodyIndexA,bodyIndexB,cpuBodyBuf,cpuConvexData,cpuCollidables,cpuVertices, sepAxis,&portal, depthOut, dirOut, posOut);\n" +"			hasSepAxis[pairIndex] = 1;\n" +"			sepAxis[pairIndex] = -*dirOut;\n" +"			break;\n" +"		}\n" +"	case 1:\n" +"		{\n" +"			 // Touching contact on portal's v1.\n" +"			b3FindPenetrTouch(&portal, depthOut, dirOut, posOut);\n" +"			break;\n" +"		}\n" +"	case 2:\n" +"		{\n" +"			\n" +"			b3FindPenetrSegment( &portal, depthOut, dirOut, posOut);\n" +"			break;\n" +"		}\n" +"	default:\n" +"		{\n" +"			hasSepAxis[pairIndex]=0;\n" +"			//if (res < 0)\n" +"			//{\n" +"				// Origin isn't inside portal - no collision.\n" +"				return -1;\n" +"			//}\n" +"		}\n" +"	};\n" +"	\n" +"	return 0;\n" +"};\n" +"#endif //B3_MPR_PENETRATION_H\n" +"#ifndef B3_CONTACT4DATA_H\n" +"#define B3_CONTACT4DATA_H\n" +"#ifndef B3_FLOAT4_H\n" +"#ifdef __cplusplus\n" +"#else\n" +"#endif \n" +"#endif //B3_FLOAT4_H\n" +"typedef  struct b3Contact4Data b3Contact4Data_t;\n" +"struct b3Contact4Data\n" +"{\n" +"	b3Float4	m_worldPosB[4];\n" +"//	b3Float4	m_localPosA[4];\n" +"//	b3Float4	m_localPosB[4];\n" +"	b3Float4	m_worldNormalOnB;	//	w: m_nPoints\n" +"	unsigned short  m_restituitionCoeffCmp;\n" +"	unsigned short  m_frictionCoeffCmp;\n" +"	int m_batchIdx;\n" +"	int m_bodyAPtrAndSignBit;//x:m_bodyAPtr, y:m_bodyBPtr\n" +"	int m_bodyBPtrAndSignBit;\n" +"	int	m_childIndexA;\n" +"	int	m_childIndexB;\n" +"	int m_unused1;\n" +"	int m_unused2;\n" +"};\n" +"inline int b3Contact4Data_getNumPoints(const struct b3Contact4Data* contact)\n" +"{\n" +"	return (int)contact->m_worldNormalOnB.w;\n" +"};\n" +"inline void b3Contact4Data_setNumPoints(struct b3Contact4Data* contact, int numPoints)\n" +"{\n" +"	contact->m_worldNormalOnB.w = (float)numPoints;\n" +"};\n" +"#endif //B3_CONTACT4DATA_H\n" +"#define AppendInc(x, out) out = atomic_inc(x)\n" +"#define GET_NPOINTS(x) (x).m_worldNormalOnB.w\n" +"#ifdef cl_ext_atomic_counters_32\n" +"	#pragma OPENCL EXTENSION cl_ext_atomic_counters_32 : enable\n" +"#else\n" +"	#define counter32_t volatile __global int*\n" +"#endif\n" +"__kernel void   mprPenetrationKernel( __global int4* pairs,\n" +"																					__global const b3RigidBodyData_t* rigidBodies, \n" +"																					__global const b3Collidable_t* collidables,\n" +"																					__global const b3ConvexPolyhedronData_t* convexShapes, \n" +"																					__global const float4* vertices,\n" +"																					__global float4* separatingNormals,\n" +"																					__global int* hasSeparatingAxis,\n" +"																					__global struct b3Contact4Data* restrict globalContactsOut,\n" +"																					counter32_t nGlobalContactsOut,\n" +"																					int contactCapacity,\n" +"																					int numPairs)\n" +"{\n" +"	int i = get_global_id(0);\n" +"	int pairIndex = i;\n" +"	if (i<numPairs)\n" +"	{\n" +"		int bodyIndexA = pairs[i].x;\n" +"		int bodyIndexB = pairs[i].y;\n" +"		int collidableIndexA = rigidBodies[bodyIndexA].m_collidableIdx;\n" +"		int collidableIndexB = rigidBodies[bodyIndexB].m_collidableIdx;\n" +"	\n" +"		int shapeIndexA = collidables[collidableIndexA].m_shapeIndex;\n" +"		int shapeIndexB = collidables[collidableIndexB].m_shapeIndex;\n" +"		\n" +"		\n" +"		//once the broadphase avoids static-static pairs, we can remove this test\n" +"		if ((rigidBodies[bodyIndexA].m_invMass==0) &&(rigidBodies[bodyIndexB].m_invMass==0))\n" +"		{\n" +"			return;\n" +"		}\n" +"		\n" +"		if ((collidables[collidableIndexA].m_shapeType!=SHAPE_CONVEX_HULL) ||(collidables[collidableIndexB].m_shapeType!=SHAPE_CONVEX_HULL))\n" +"		{\n" +"			return;\n" +"		}\n" +"		float depthOut;\n" +"		b3Float4 dirOut;\n" +"		b3Float4 posOut;\n" +"		int res = b3MprPenetration(pairIndex, bodyIndexA, bodyIndexB,rigidBodies,convexShapes,collidables,vertices,separatingNormals,hasSeparatingAxis,&depthOut, &dirOut, &posOut);\n" +"		\n" +"		\n" +"		\n" +"		\n" +"		if (res==0)\n" +"		{\n" +"			//add a contact\n" +"			int dstIdx;\n" +"			AppendInc( nGlobalContactsOut, dstIdx );\n" +"			if (dstIdx<contactCapacity)\n" +"			{\n" +"				pairs[pairIndex].z = dstIdx;\n" +"				__global struct b3Contact4Data* c = globalContactsOut + dstIdx;\n" +"				c->m_worldNormalOnB = -dirOut;//normal;\n" +"				c->m_restituitionCoeffCmp = (0.f*0xffff);c->m_frictionCoeffCmp = (0.7f*0xffff);\n" +"				c->m_batchIdx = pairIndex;\n" +"				int bodyA = pairs[pairIndex].x;\n" +"				int bodyB = pairs[pairIndex].y;\n" +"				c->m_bodyAPtrAndSignBit = rigidBodies[bodyA].m_invMass==0 ? -bodyA:bodyA;\n" +"				c->m_bodyBPtrAndSignBit = rigidBodies[bodyB].m_invMass==0 ? -bodyB:bodyB;\n" +"				c->m_childIndexA = -1;\n" +"				c->m_childIndexB = -1;\n" +"				//for (int i=0;i<nContacts;i++)\n" +"				posOut.w = -depthOut;\n" +"				c->m_worldPosB[0] = posOut;//localPoints[contactIdx[i]];\n" +"				GET_NPOINTS(*c) = 1;//nContacts;\n" +"			}\n" +"		}\n" +"	}\n" +"}\n" +"typedef float4 Quaternion;\n" +"#define make_float4 (float4)\n" +"__inline\n" +"float dot3F4(float4 a, float4 b)\n" +"{\n" +"	float4 a1 = make_float4(a.xyz,0.f);\n" +"	float4 b1 = make_float4(b.xyz,0.f);\n" +"	return dot(a1, b1);\n" +"}\n" +"__inline\n" +"float4 cross3(float4 a, float4 b)\n" +"{\n" +"	return cross(a,b);\n" +"}\n" +"__inline\n" +"Quaternion qtMul(Quaternion a, Quaternion b)\n" +"{\n" +"	Quaternion ans;\n" +"	ans = cross3( a, b );\n" +"	ans += a.w*b+b.w*a;\n" +"//	ans.w = a.w*b.w - (a.x*b.x+a.y*b.y+a.z*b.z);\n" +"	ans.w = a.w*b.w - dot3F4(a, b);\n" +"	return ans;\n" +"}\n" +"__inline\n" +"Quaternion qtInvert(Quaternion q)\n" +"{\n" +"	return (Quaternion)(-q.xyz, q.w);\n" +"}\n" +"__inline\n" +"float4 qtRotate(Quaternion q, float4 vec)\n" +"{\n" +"	Quaternion qInv = qtInvert( q );\n" +"	float4 vcpy = vec;\n" +"	vcpy.w = 0.f;\n" +"	float4 out = qtMul(qtMul(q,vcpy),qInv);\n" +"	return out;\n" +"}\n" +"__inline\n" +"float4 transform(const float4* p, const float4* translation, const Quaternion* orientation)\n" +"{\n" +"	return qtRotate( *orientation, *p ) + (*translation);\n" +"}\n" +"__inline\n" +"float4 qtInvRotate(const Quaternion q, float4 vec)\n" +"{\n" +"	return qtRotate( qtInvert( q ), vec );\n" +"}\n" +"inline void project(__global const b3ConvexPolyhedronData_t* hull,  const float4 pos, const float4 orn, \n" +"const float4* dir, __global const float4* vertices, float* min, float* max)\n" +"{\n" +"	min[0] = FLT_MAX;\n" +"	max[0] = -FLT_MAX;\n" +"	int numVerts = hull->m_numVertices;\n" +"	const float4 localDir = qtInvRotate(orn,*dir);\n" +"	float offset = dot(pos,*dir);\n" +"	for(int i=0;i<numVerts;i++)\n" +"	{\n" +"		float dp = dot(vertices[hull->m_vertexOffset+i],localDir);\n" +"		if(dp < min[0])	\n" +"			min[0] = dp;\n" +"		if(dp > max[0])	\n" +"			max[0] = dp;\n" +"	}\n" +"	if(min[0]>max[0])\n" +"	{\n" +"		float tmp = min[0];\n" +"		min[0] = max[0];\n" +"		max[0] = tmp;\n" +"	}\n" +"	min[0] += offset;\n" +"	max[0] += offset;\n" +"}\n" +"bool findSeparatingAxisUnitSphere(	__global const b3ConvexPolyhedronData_t* hullA, __global const b3ConvexPolyhedronData_t* hullB, \n" +"	const float4 posA1,\n" +"	const float4 ornA,\n" +"	const float4 posB1,\n" +"	const float4 ornB,\n" +"	const float4 DeltaC2,\n" +"	__global const float4* vertices,\n" +"	__global const float4* unitSphereDirections,\n" +"	int numUnitSphereDirections,\n" +"	float4* sep,\n" +"	float* dmin)\n" +"{\n" +"	\n" +"	float4 posA = posA1;\n" +"	posA.w = 0.f;\n" +"	float4 posB = posB1;\n" +"	posB.w = 0.f;\n" +"	int curPlaneTests=0;\n" +"	int curEdgeEdge = 0;\n" +"	// Test unit sphere directions\n" +"	for (int i=0;i<numUnitSphereDirections;i++)\n" +"	{\n" +"		float4 crossje;\n" +"		crossje = unitSphereDirections[i];	\n" +"		if (dot3F4(DeltaC2,crossje)>0)\n" +"			crossje *= -1.f;\n" +"		{\n" +"			float dist;\n" +"			bool result = true;\n" +"			float Min0,Max0;\n" +"			float Min1,Max1;\n" +"			project(hullA,posA,ornA,&crossje,vertices, &Min0, &Max0);\n" +"			project(hullB,posB,ornB,&crossje,vertices, &Min1, &Max1);\n" +"		\n" +"			if(Max0<Min1 || Max1<Min0)\n" +"				return false;\n" +"		\n" +"			float d0 = Max0 - Min1;\n" +"			float d1 = Max1 - Min0;\n" +"			dist = d0<d1 ? d0:d1;\n" +"			result = true;\n" +"	\n" +"			if(dist<*dmin)\n" +"			{\n" +"				*dmin = dist;\n" +"				*sep = crossje;\n" +"			}\n" +"		}\n" +"	}\n" +"	\n" +"	if((dot3F4(-DeltaC2,*sep))>0.0f)\n" +"	{\n" +"		*sep = -(*sep);\n" +"	}\n" +"	return true;\n" +"}\n" +"__kernel void   findSeparatingAxisUnitSphereKernel( __global const int4* pairs, \n" +"																					__global const b3RigidBodyData_t* rigidBodies, \n" +"																					__global const b3Collidable_t* collidables,\n" +"																					__global const b3ConvexPolyhedronData_t* convexShapes, \n" +"																					__global const float4* vertices,\n" +"																					__global const float4* unitSphereDirections,\n" +"																					__global  float4* separatingNormals,\n" +"																					__global  int* hasSeparatingAxis,\n" +"																					__global  float* dmins,\n" +"																					int numUnitSphereDirections,\n" +"																					int numPairs\n" +"																					)\n" +"{\n" +"	int i = get_global_id(0);\n" +"	\n" +"	if (i<numPairs)\n" +"	{\n" +"		if (hasSeparatingAxis[i])\n" +"		{\n" +"	\n" +"			int bodyIndexA = pairs[i].x;\n" +"			int bodyIndexB = pairs[i].y;\n" +"	\n" +"			int collidableIndexA = rigidBodies[bodyIndexA].m_collidableIdx;\n" +"			int collidableIndexB = rigidBodies[bodyIndexB].m_collidableIdx;\n" +"		\n" +"			int shapeIndexA = collidables[collidableIndexA].m_shapeIndex;\n" +"			int shapeIndexB = collidables[collidableIndexB].m_shapeIndex;\n" +"			\n" +"			\n" +"			int numFacesA = convexShapes[shapeIndexA].m_numFaces;\n" +"	\n" +"			float dmin = dmins[i];\n" +"	\n" +"			float4 posA = rigidBodies[bodyIndexA].m_pos;\n" +"			posA.w = 0.f;\n" +"			float4 posB = rigidBodies[bodyIndexB].m_pos;\n" +"			posB.w = 0.f;\n" +"			float4 c0local = convexShapes[shapeIndexA].m_localCenter;\n" +"			float4 ornA = rigidBodies[bodyIndexA].m_quat;\n" +"			float4 c0 = transform(&c0local, &posA, &ornA);\n" +"			float4 c1local = convexShapes[shapeIndexB].m_localCenter;\n" +"			float4 ornB =rigidBodies[bodyIndexB].m_quat;\n" +"			float4 c1 = transform(&c1local,&posB,&ornB);\n" +"			const float4 DeltaC2 = c0 - c1;\n" +"			float4 sepNormal = separatingNormals[i];\n" +"			\n" +"			int numEdgeEdgeDirections = convexShapes[shapeIndexA].m_numUniqueEdges*convexShapes[shapeIndexB].m_numUniqueEdges;\n" +"			if (numEdgeEdgeDirections>numUnitSphereDirections)\n" +"			{\n" +"				bool sepEE = findSeparatingAxisUnitSphere(	&convexShapes[shapeIndexA], &convexShapes[shapeIndexB],posA,ornA,\n" +"																										posB,ornB,\n" +"																										DeltaC2,\n" +"																										vertices,unitSphereDirections,numUnitSphereDirections,&sepNormal,&dmin);\n" +"				if (!sepEE)\n" +"				{\n" +"					hasSeparatingAxis[i] = 0;\n" +"				} else\n" +"				{\n" +"					hasSeparatingAxis[i] = 1;\n" +"					separatingNormals[i] = sepNormal;\n" +"				}\n" +"			}\n" +"		}		//if (hasSeparatingAxis[i])\n" +"	}//(i<numPairs)\n" +"}\n" +;  |