Optimizing for GPUs

Transcript

1. Optimizing for GPUs Arnaud Bergeron

2. Kernels __kernel void add(__global float *a, __global float *b, __global

   float *c, size_t n) { size_t i = get_global_id(0); if (i < n) c[i] = a[i] + b[i]; } __global__ void add(float *a, float *b, float *c, size_t n) { size_t i = (blockIdx.x * blockDim.x) + threadIdx.x; if (i < n) c[i] = a[i] + b[i]; } OpenCL CUDA

3. Unified Kernel KERNEL void add(GLOBAL_MEM ga_float *a, GLOBAL_MEM ga_float *b,

   GLOBAL_MEM ga_float *c, ga_size n) { ga_size i = GID_0 * LDIM_0 + LID_0; if (i < n) c[i] = a[i] + b[i]; }

4. Grid, Blocks, Threads Grid Block

5. Scheduling Time (s) 0E+00 2E-03 4E-03 6E-03 8E-03 Local Size

   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 Same work (TITAN X) Same total (TITAN X) Same work (GTX 750) Same total (GTX 750)

6. Scheduling (2) Time (s) 1E-04 1,3E-04 1,6E-04 1,9E-04 2,2E-04 2,5E-04

   Local Size 32 64 96 128 160 192 224 256 288 320 352 384 416 448 480 512 544 576 608 640 672 704 736 768 800 832 864 896 928 960 992 1024 GTX 750 TITAN X

7. Scheduling (3) Time (s) 0,005 0,009 0,012 0,016 0,019 Global

   size divisor 1 2 4 8 16 32 64 128 ls 32 ls 64 ls 736 ls 1024 ls 32 ls 64 ls 704 ls 1024 GTX 750 TITAN X

8. A CPU Core T0 T1 ALU Cache

9. A GPU Core T0 T2 ALU T1 T5 T6 T3

   T4 T9 T8 T7 Cache

10. Blocking Operations CPU Sync Sync Sync GPU Add kernel Add

    kernel CPU Sync Sync GPU Add kernel Add kernel

11. Blocking operations Time 1E-05 s 1E-04 s 1E-03 s 1E-02

    s 1E-01 s 1E+00 s Number of loops 1 10 100 500 1000 5000 10000 Non-Blocking Blocking

12. Warp Divergence if (x < 0.0) z = x -

    2.0; else z = sqrt(x); Divergent code Straight-line code @p = (x < 0.0); p: z = x - 2.0; !p: z = sqrt(x);

13. Divergent Kernel KERNEL void add(GLOBAL_MEM ga_float *a, GLOBAL_MEM ga_float *b,

    GLOBAL_MEM ga_float *c, ga_size n) { ga_size i = GID_0 * LDIM_0 + LID_0; if (i < n) { if (i % 2) c[i] = a[i] + b[i]; else c[i] = asinhf(a[i]) + erfinvf(b[i]); } }

14. Warp Divergence (2) Time (s) 0,000 0,005 0,010 0,015 0,020

    0,025 0,030 0,035 0,040 0,045 0,050 Fast Kernel Slow Kernel Divergent Kernel Baseline Compute Time

15. Last Kernel (simple) KERNEL void add(GLOBAL_MEM ga_float *a, ga_ssize lda,

    GLOBAL_MEM ga_float *b, ga_ssize ldb, GLOBAL_MEM ga_float *c, ga_ssize ldc, ga_size M, ga_size N) { for (ga_size row = GID_1 * LDIM_1 + LID_1; row < M; row += GDIM_1 * LDIM_1) { for (ga_size col = GID_0 * LDIM_0 + LID_0; col < N; col += GDIM_0 * LDIM_0) { c[row * ldc + col] = rdA(row, col) * rdB(row, col); } } }

16. Last Kernel (local) KERNEL void add(GLOBAL_MEM ga_float *a, ga_ssize lda,

    GLOBAL_MEM ga_float *b, ga_ssize ldb, GLOBAL_MEM ga_float *c, ga_ssize ldc, ga_size M, ga_size N) { LOCAL_MEM ga_float bufA[32][32]; LOCAL_MEM ga_float bufB[32][32]; for (ga_size row = GID_1; row < 32; row += GDIM_1) { for (ga_size col = GID_0; row < 32; row += GDIM_0) { // kernel code } } }

17. Inner Code (local) for (int i = 0; i <

    32; i++) bufA[i][LID_0] = rdA(row*32 + i, col*32 + LID_0); for (int i = 0; i < 32; i++) bufB[i][LID_0] = rdB(row*32 + i, col*32 + LID_0); local_barrier(); for (int i = 0; i < 32; i++) { for (int j = 0; j < 32; j++) { c[(row*32 + i)*ldc + (col*32 + j)] = bufA[i][j] * bufB[i][j]; } }

18. Final example Time (s) 0 0,001 0,002 0,003 0,004 0,005

    0,006 C order F order F order (with scheduling) C order (shared memory) F order (shared memory)