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authorOussama <o.boukhelf@gmail.com>2019-01-03 14:26:51 +0100
committerRĂ©mi Verschelde <rverschelde@gmail.com>2019-01-07 12:30:35 +0100
commit22b7c9dfa80d0f7abca40f061865c2ab3c136a74 (patch)
tree311cd3f22b012329160f9d43810aea429994af48 /thirdparty/bullet/Bullet3OpenCL/NarrowphaseCollision/kernels/mprKernels.h
parenta6722cf36251ddcb538e6ebed9fa4950342b68ba (diff)
Update Bullet to the latest commit 126b676
Diffstat (limited to 'thirdparty/bullet/Bullet3OpenCL/NarrowphaseCollision/kernels/mprKernels.h')
-rw-r--r--thirdparty/bullet/Bullet3OpenCL/NarrowphaseCollision/kernels/mprKernels.h2889
1 files changed, 1444 insertions, 1445 deletions
diff --git a/thirdparty/bullet/Bullet3OpenCL/NarrowphaseCollision/kernels/mprKernels.h b/thirdparty/bullet/Bullet3OpenCL/NarrowphaseCollision/kernels/mprKernels.h
index 7ed4b382c3..74959a931c 100644
--- a/thirdparty/bullet/Bullet3OpenCL/NarrowphaseCollision/kernels/mprKernels.h
+++ b/thirdparty/bullet/Bullet3OpenCL/NarrowphaseCollision/kernels/mprKernels.h
@@ -1,1446 +1,1445 @@
//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"
-;
+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";