1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
527
|
/*
Copyright (c) 2012 Advanced Micro Devices, Inc.
This software is provided 'as-is', without any express or implied warranty.
In no event will the authors be held liable for any damages arising from the use of this software.
Permission is granted to anyone to use this software for any purpose,
including commercial applications, and to alter it and redistribute it freely,
subject to the following restrictions:
1. The origin of this software must not be misrepresented; you must not claim that you wrote the original software. If you use this software in a product, an acknowledgment in the product documentation would be appreciated but is not required.
2. Altered source versions must be plainly marked as such, and must not be misrepresented as being the original software.
3. This notice may not be removed or altered from any source distribution.
*/
//Originally written by Takahiro Harada
//#pragma OPENCL EXTENSION cl_amd_printf : enable
#pragma OPENCL EXTENSION cl_khr_local_int32_base_atomics : enable
#pragma OPENCL EXTENSION cl_khr_global_int32_base_atomics : enable
#pragma OPENCL EXTENSION cl_khr_local_int32_extended_atomics : enable
#pragma OPENCL EXTENSION cl_khr_global_int32_extended_atomics : enable
#ifdef cl_ext_atomic_counters_32
#pragma OPENCL EXTENSION cl_ext_atomic_counters_32 : enable
#else
#define counter32_t volatile global int*
#endif
typedef unsigned int u32;
typedef unsigned short u16;
typedef unsigned char u8;
#define GET_GROUP_IDX get_group_id(0)
#define GET_LOCAL_IDX get_local_id(0)
#define GET_GLOBAL_IDX get_global_id(0)
#define GET_GROUP_SIZE get_local_size(0)
#define GET_NUM_GROUPS get_num_groups(0)
#define GROUP_LDS_BARRIER barrier(CLK_LOCAL_MEM_FENCE)
#define GROUP_MEM_FENCE mem_fence(CLK_LOCAL_MEM_FENCE)
#define AtomInc(x) atom_inc(&(x))
#define AtomInc1(x, out) out = atom_inc(&(x))
#define AppendInc(x, out) out = atomic_inc(x)
#define AtomAdd(x, value) atom_add(&(x), value)
#define AtomCmpxhg(x, cmp, value) atom_cmpxchg( &(x), cmp, value )
#define AtomXhg(x, value) atom_xchg ( &(x), value )
#define SELECT_UINT4( b, a, condition ) select( b,a,condition )
#define mymake_float4 (float4)
//#define make_float2 (float2)
//#define make_uint4 (uint4)
//#define make_int4 (int4)
//#define make_uint2 (uint2)
//#define make_int2 (int2)
#define max2 max
#define min2 min
///////////////////////////////////////
// Vector
///////////////////////////////////////
__inline
float4 fastNormalize4(float4 v)
{
return fast_normalize(v);
}
__inline
float4 cross3(float4 a, float4 b)
{
return cross(a,b);
}
__inline
float dot3F4(float4 a, float4 b)
{
float4 a1 = mymake_float4(a.xyz,0.f);
float4 b1 = mymake_float4(b.xyz,0.f);
return dot(a1, b1);
}
__inline
float4 normalize3(const float4 a)
{
float4 n = mymake_float4(a.x, a.y, a.z, 0.f);
return fastNormalize4( n );
// float length = sqrtf(dot3F4(a, a));
// return 1.f/length * a;
}
///////////////////////////////////////
// Matrix3x3
///////////////////////////////////////
typedef struct
{
float4 m_row[3];
}Matrix3x3;
__inline
float4 mtMul1(Matrix3x3 a, float4 b);
__inline
float4 mtMul3(float4 a, Matrix3x3 b);
__inline
float4 mtMul1(Matrix3x3 a, float4 b)
{
float4 ans;
ans.x = dot3F4( a.m_row[0], b );
ans.y = dot3F4( a.m_row[1], b );
ans.z = dot3F4( a.m_row[2], b );
ans.w = 0.f;
return ans;
}
__inline
float4 mtMul3(float4 a, Matrix3x3 b)
{
float4 colx = mymake_float4(b.m_row[0].x, b.m_row[1].x, b.m_row[2].x, 0);
float4 coly = mymake_float4(b.m_row[0].y, b.m_row[1].y, b.m_row[2].y, 0);
float4 colz = mymake_float4(b.m_row[0].z, b.m_row[1].z, b.m_row[2].z, 0);
float4 ans;
ans.x = dot3F4( a, colx );
ans.y = dot3F4( a, coly );
ans.z = dot3F4( a, colz );
return ans;
}
///////////////////////////////////////
// Quaternion
///////////////////////////////////////
typedef float4 Quaternion;
#define WG_SIZE 64
typedef struct
{
float4 m_pos;
Quaternion m_quat;
float4 m_linVel;
float4 m_angVel;
u32 m_shapeIdx;
float m_invMass;
float m_restituitionCoeff;
float m_frictionCoeff;
} Body;
typedef struct
{
Matrix3x3 m_invInertia;
Matrix3x3 m_initInvInertia;
} Shape;
typedef struct
{
float4 m_linear;
float4 m_worldPos[4];
float4 m_center;
float m_jacCoeffInv[4];
float m_b[4];
float m_appliedRambdaDt[4];
float m_fJacCoeffInv[2];
float m_fAppliedRambdaDt[2];
u32 m_bodyA;
u32 m_bodyB;
int m_batchIdx;
u32 m_paddings[1];
} Constraint4;
typedef struct
{
int m_nConstraints;
int m_start;
int m_batchIdx;
int m_nSplit;
// int m_paddings[1];
} ConstBuffer;
typedef struct
{
int m_solveFriction;
int m_maxBatch; // long batch really kills the performance
int m_batchIdx;
int m_nSplit;
// int m_paddings[1];
} ConstBufferBatchSolve;
void setLinearAndAngular( float4 n, float4 r0, float4 r1, float4* linear, float4* angular0, float4* angular1);
void setLinearAndAngular( float4 n, float4 r0, float4 r1, float4* linear, float4* angular0, float4* angular1)
{
*linear = mymake_float4(-n.xyz,0.f);
*angular0 = -cross3(r0, n);
*angular1 = cross3(r1, n);
}
float calcRelVel( float4 l0, float4 l1, float4 a0, float4 a1, float4 linVel0, float4 angVel0, float4 linVel1, float4 angVel1 );
float calcRelVel( float4 l0, float4 l1, float4 a0, float4 a1, float4 linVel0, float4 angVel0, float4 linVel1, float4 angVel1 )
{
return dot3F4(l0, linVel0) + dot3F4(a0, angVel0) + dot3F4(l1, linVel1) + dot3F4(a1, angVel1);
}
float calcJacCoeff(const float4 linear0, const float4 linear1, const float4 angular0, const float4 angular1,
float invMass0, const Matrix3x3* invInertia0, float invMass1, const Matrix3x3* invInertia1);
float calcJacCoeff(const float4 linear0, const float4 linear1, const float4 angular0, const float4 angular1,
float invMass0, const Matrix3x3* invInertia0, float invMass1, const Matrix3x3* invInertia1)
{
// linear0,1 are normlized
float jmj0 = invMass0;//dot3F4(linear0, linear0)*invMass0;
float jmj1 = dot3F4(mtMul3(angular0,*invInertia0), angular0);
float jmj2 = invMass1;//dot3F4(linear1, linear1)*invMass1;
float jmj3 = dot3F4(mtMul3(angular1,*invInertia1), angular1);
return -1.f/(jmj0+jmj1+jmj2+jmj3);
}
void btPlaneSpace1 (const float4* n, float4* p, float4* q);
void btPlaneSpace1 (const float4* n, float4* p, float4* q)
{
if (fabs(n[0].z) > 0.70710678f) {
// choose p in y-z plane
float a = n[0].y*n[0].y + n[0].z*n[0].z;
float k = 1.f/sqrt(a);
p[0].x = 0;
p[0].y = -n[0].z*k;
p[0].z = n[0].y*k;
// set q = n x p
q[0].x = a*k;
q[0].y = -n[0].x*p[0].z;
q[0].z = n[0].x*p[0].y;
}
else {
// choose p in x-y plane
float a = n[0].x*n[0].x + n[0].y*n[0].y;
float k = 1.f/sqrt(a);
p[0].x = -n[0].y*k;
p[0].y = n[0].x*k;
p[0].z = 0;
// set q = n x p
q[0].x = -n[0].z*p[0].y;
q[0].y = n[0].z*p[0].x;
q[0].z = a*k;
}
}
void solveFrictionConstraint(__global Body* gBodies, __global Shape* gShapes, __global Constraint4* ldsCs);
void solveFrictionConstraint(__global Body* gBodies, __global Shape* gShapes, __global Constraint4* ldsCs)
{
float frictionCoeff = ldsCs[0].m_linear.w;
int aIdx = ldsCs[0].m_bodyA;
int bIdx = ldsCs[0].m_bodyB;
float4 posA = gBodies[aIdx].m_pos;
float4 linVelA = gBodies[aIdx].m_linVel;
float4 angVelA = gBodies[aIdx].m_angVel;
float invMassA = gBodies[aIdx].m_invMass;
Matrix3x3 invInertiaA = gShapes[aIdx].m_invInertia;
float4 posB = gBodies[bIdx].m_pos;
float4 linVelB = gBodies[bIdx].m_linVel;
float4 angVelB = gBodies[bIdx].m_angVel;
float invMassB = gBodies[bIdx].m_invMass;
Matrix3x3 invInertiaB = gShapes[bIdx].m_invInertia;
{
float maxRambdaDt[4] = {FLT_MAX,FLT_MAX,FLT_MAX,FLT_MAX};
float minRambdaDt[4] = {0.f,0.f,0.f,0.f};
float sum = 0;
for(int j=0; j<4; j++)
{
sum +=ldsCs[0].m_appliedRambdaDt[j];
}
frictionCoeff = 0.7f;
for(int j=0; j<4; j++)
{
maxRambdaDt[j] = frictionCoeff*sum;
minRambdaDt[j] = -maxRambdaDt[j];
}
// solveFriction( ldsCs, posA, &linVelA, &angVelA, invMassA, invInertiaA,
// posB, &linVelB, &angVelB, invMassB, invInertiaB, maxRambdaDt, minRambdaDt );
{
__global Constraint4* cs = ldsCs;
if( cs->m_fJacCoeffInv[0] == 0 && cs->m_fJacCoeffInv[0] == 0 ) return;
const float4 center = cs->m_center;
float4 n = -cs->m_linear;
float4 tangent[2];
btPlaneSpace1(&n,&tangent[0],&tangent[1]);
float4 angular0, angular1, linear;
float4 r0 = center - posA;
float4 r1 = center - posB;
for(int i=0; i<2; i++)
{
setLinearAndAngular( tangent[i], r0, r1, &linear, &angular0, &angular1 );
float rambdaDt = calcRelVel(linear, -linear, angular0, angular1,
linVelA, angVelA, linVelB, angVelB );
rambdaDt *= cs->m_fJacCoeffInv[i];
{
float prevSum = cs->m_fAppliedRambdaDt[i];
float updated = prevSum;
updated += rambdaDt;
updated = max2( updated, minRambdaDt[i] );
updated = min2( updated, maxRambdaDt[i] );
rambdaDt = updated - prevSum;
cs->m_fAppliedRambdaDt[i] = updated;
}
float4 linImp0 = invMassA*linear*rambdaDt;
float4 linImp1 = invMassB*(-linear)*rambdaDt;
float4 angImp0 = mtMul1(invInertiaA, angular0)*rambdaDt;
float4 angImp1 = mtMul1(invInertiaB, angular1)*rambdaDt;
linVelA += linImp0;
angVelA += angImp0;
linVelB += linImp1;
angVelB += angImp1;
}
{ // angular damping for point constraint
float4 ab = normalize3( posB - posA );
float4 ac = normalize3( center - posA );
if( dot3F4( ab, ac ) > 0.95f || (invMassA == 0.f || invMassB == 0.f))
{
float angNA = dot3F4( n, angVelA );
float angNB = dot3F4( n, angVelB );
angVelA -= (angNA*0.1f)*n;
angVelB -= (angNB*0.1f)*n;
}
}
}
}
if (gBodies[aIdx].m_invMass)
{
gBodies[aIdx].m_linVel = linVelA;
gBodies[aIdx].m_angVel = angVelA;
} else
{
gBodies[aIdx].m_linVel = mymake_float4(0,0,0,0);
gBodies[aIdx].m_angVel = mymake_float4(0,0,0,0);
}
if (gBodies[bIdx].m_invMass)
{
gBodies[bIdx].m_linVel = linVelB;
gBodies[bIdx].m_angVel = angVelB;
} else
{
gBodies[bIdx].m_linVel = mymake_float4(0,0,0,0);
gBodies[bIdx].m_angVel = mymake_float4(0,0,0,0);
}
}
typedef struct
{
int m_valInt0;
int m_valInt1;
int m_valInt2;
int m_valInt3;
float m_val0;
float m_val1;
float m_val2;
float m_val3;
} SolverDebugInfo;
__kernel
__attribute__((reqd_work_group_size(WG_SIZE,1,1)))
void BatchSolveKernelFriction(__global Body* gBodies,
__global Shape* gShapes,
__global Constraint4* gConstraints,
__global int* gN,
__global int* gOffsets,
__global int* batchSizes,
int maxBatch1,
int cellBatch,
int4 nSplit
)
{
//__local int ldsBatchIdx[WG_SIZE+1];
__local int ldsCurBatch;
__local int ldsNextBatch;
__local int ldsStart;
int lIdx = GET_LOCAL_IDX;
int wgIdx = GET_GROUP_IDX;
// int gIdx = GET_GLOBAL_IDX;
// debugInfo[gIdx].m_valInt0 = gIdx;
//debugInfo[gIdx].m_valInt1 = GET_GROUP_SIZE;
int zIdx = (wgIdx/((nSplit.x*nSplit.y)/4))*2+((cellBatch&4)>>2);
int remain= (wgIdx%((nSplit.x*nSplit.y)/4));
int yIdx = (remain/(nSplit.x/2))*2 + ((cellBatch&2)>>1);
int xIdx = (remain%(nSplit.x/2))*2 + (cellBatch&1);
int cellIdx = xIdx+yIdx*nSplit.x+zIdx*(nSplit.x*nSplit.y);
if( gN[cellIdx] == 0 )
return;
int maxBatch = batchSizes[cellIdx];
const int start = gOffsets[cellIdx];
const int end = start + gN[cellIdx];
if( lIdx == 0 )
{
ldsCurBatch = 0;
ldsNextBatch = 0;
ldsStart = start;
}
GROUP_LDS_BARRIER;
int idx=ldsStart+lIdx;
while (ldsCurBatch < maxBatch)
{
for(; idx<end; )
{
if (gConstraints[idx].m_batchIdx == ldsCurBatch)
{
solveFrictionConstraint( gBodies, gShapes, &gConstraints[idx] );
idx+=64;
} else
{
break;
}
}
GROUP_LDS_BARRIER;
if( lIdx == 0 )
{
ldsCurBatch++;
}
GROUP_LDS_BARRIER;
}
}
__kernel void solveSingleFrictionKernel(__global Body* gBodies,
__global Shape* gShapes,
__global Constraint4* gConstraints,
int cellIdx,
int batchOffset,
int numConstraintsInBatch
)
{
int index = get_global_id(0);
if (index < numConstraintsInBatch)
{
int idx=batchOffset+index;
solveFrictionConstraint( gBodies, gShapes, &gConstraints[idx] );
}
}
|