/* * bench_implicit_gemm.cu — Implicit GEMM vs explicit im2col + GEMM for conv2d * * Tests the hypothesis: eliminating the 23.6 MB col buffer saves DRAM * traffic and speeds up small-channel and large-spatial convolutions. * * Kernels compared: * Explicit: im2col_nhwc_fp16 (writes col buffer) + wmma_gemm_conv (reads col buffer) * Implicit: implicit_gemm_conv (single kernel, no col buffer, indices on-the-fly) * * Build: * nvcc -arch=sm_86 -O2 -o bench_implicit_gemm bench_implicit_gemm.cu \ * -lcuda -I../../kernels/_common */ #include #include #include #include #include #include #include #include "../../_common/bench.h" #include "../../_common/check.h" // Helper: find cubin in CWD or in the binary's directory static bool find_cubin(const char *name, char *out_path, size_t out_len) { if (access(name, R_OK) == 0) { strncpy(out_path, name, out_len - 1); out_path[out_len - 1] = '\0'; return true; } char exe_path[4096]; ssize_t len = readlink("/proc/self/exe", exe_path, sizeof(exe_path) - 1); if (len > 0) { exe_path[len] = '\0'; char *last_slash = strrchr(exe_path, '/'); if (last_slash) { *last_slash = '\0'; snprintf(out_path, out_len, "%s/%s", exe_path, name); if (access(out_path, R_OK) == 0) return true; } } return false; } // ---- Tile constants (must match kernel files) ---- #define BLOCK_M 64 #define BLOCK_N 64 #define BLOCK_K 16 #define WMMA_M 16 #define WMMA_N 16 // Explicit im2col smem: smem_A + smem_B (padded) #define SMEM_A_STRIDE_EXPLICIT (BLOCK_K + 8) #define SMEM_B_STRIDE_EXPLICIT (BLOCK_N + 8) #define SMEM_BYTES_EXPLICIT ((BLOCK_M * SMEM_A_STRIDE_EXPLICIT + BLOCK_K * SMEM_B_STRIDE_EXPLICIT) * 2) // = (64*24 + 16*72) * 2 = (1536 + 1152) * 2 = 5376 bytes // Implicit GEMM smem: smem_A + smem_B + coordinate tables // smem_A: 64*24 halfs = 3072 B // smem_B: 16*72 halfs = 2304 B // M tables: 3*64 ints = 768 B // K tables: 3*16 ints = 192 B // Total: 6336 bytes #define SMEM_BYTES_IMPLICIT (SMEM_BYTES_EXPLICIT + (3 * BLOCK_M + 3 * BLOCK_K) * 4) // ----------------------------------------------------------------------- // CPU reference: 3×3 NHWC convolution // ----------------------------------------------------------------------- static void cpu_conv2d_nhwc_ref( const float *X, const float *W, float *Y, int N, int H, int W_dim, int Cin, int Cout ) { memset(Y, 0, (size_t)N * H * W_dim * Cout * sizeof(float)); for (int n = 0; n < N; n++) for (int h = 0; h < H; h++) for (int w = 0; w < W_dim; w++) for (int cout_c = 0; cout_c < Cout; cout_c++) { double acc = 0.0; for (int kh = 0; kh < 3; kh++) for (int kw = 0; kw < 3; kw++) { int h_in = h + kh - 1, w_in = w + kw - 1; if (h_in < 0 || h_in >= H || w_in < 0 || w_in >= W_dim) continue; for (int cin = 0; cin < Cin; cin++) { size_t x_idx = ((size_t)n * H * W_dim + h_in * W_dim + w_in) * Cin + cin; size_t w_idx = (size_t)cout_c * 9 * Cin + (kh * 3 + kw) * Cin + cin; acc += (double)X[x_idx] * W[w_idx]; } } size_t y_idx = ((size_t)n * H * W_dim + h * W_dim + w) * Cout + cout_c; Y[y_idx] = (float)acc; } } static unsigned short fp32_to_fp16_bits(float val) { __half h = __float2half(val); unsigned short bits; memcpy(&bits, &h, 2); return bits; } // Reshape: W_direct[Cout, kH, kW, Cin] FP32 → W_t[Cin*kH*kW, Cout] FP16 static void reshape_weights_to_col( const float *W_direct, unsigned short *W_t, int Cout, int Cin, int kH, int kW ) { int K_dim = Cin * kH * kW; for (int k = 0; k < K_dim; k++) { int cin = k / (kH * kW); int k_pos = k % (kH * kW); int kh_idx = k_pos / kW; int kw_idx = k_pos % kW; for (int cout_c = 0; cout_c < Cout; cout_c++) { float val = W_direct[(size_t)cout_c * kH * kW * Cin + (kh_idx * kW + kw_idx) * Cin + cin]; W_t[(size_t)k * Cout + cout_c] = fp32_to_fp16_bits(val); } } } static void fill_rand(float *arr, size_t n, float scale = 0.1f) { for (size_t i = 0; i < n; i++) arr[i] = scale * (2.0f * (float)rand() / RAND_MAX - 1.0f); } int main(void) { // Test configurations: (N, H, W, Cin, Cout, label) struct Config { int N, H, W_dim, Cin, Cout; const char *label; } configs[] = { { 1, 64, 64, 320, 320, "SD 64×64 Cin=Cout=320 (baseline, large col buffer)" }, { 1, 32, 32, 640, 640, "SD 32×32 Cin=Cout=640 (smaller spatial, larger channels)" }, { 1,128,128, 160, 160, "SD 128×128 Cin=Cout=160 (large spatial, small col buffer penalty)"}, { 1, 64, 64, 64, 64, "Small 64×64 Cin=Cout=64 (index decode overhead visible)"}, }; int num_configs = (int)(sizeof(configs) / sizeof(configs[0])); CHECK_CU(cuInit(0)); CUdevice cu_dev; CHECK_CU(cuDeviceGet(&cu_dev, 0)); CUcontext cu_ctx; CHECK_CU(cuDevicePrimaryCtxRetain(&cu_ctx, cu_dev)); CHECK_CU(cuCtxSetCurrent(cu_ctx)); CUmodule mod_explicit, mod_implicit; char cubin_path[4096]; if (!find_cubin("conv2d_im2col.sm_86.cubin", cubin_path, sizeof(cubin_path))) { fprintf(stderr, "Cannot find conv2d_im2col.sm_86.cubin\n"); return 1; } CHECK_CU(cuModuleLoad(&mod_explicit, cubin_path)); if (!find_cubin("conv2d_implicit_gemm.sm_86.cubin", cubin_path, sizeof(cubin_path))) { fprintf(stderr, "Cannot find conv2d_implicit_gemm.sm_86.cubin\n"); return 1; } CHECK_CU(cuModuleLoad(&mod_implicit, cubin_path)); CUfunction fn_im2col, fn_gemm_explicit, fn_gemm_implicit; CHECK_CU(cuModuleGetFunction(&fn_im2col, mod_explicit, "im2col_nhwc_fp16")); CHECK_CU(cuModuleGetFunction(&fn_gemm_explicit, mod_explicit, "wmma_gemm_conv")); CHECK_CU(cuModuleGetFunction(&fn_gemm_implicit, mod_implicit, "implicit_gemm_conv")); CHECK_CU(cuFuncSetAttribute(fn_gemm_explicit, CU_FUNC_ATTRIBUTE_MAX_DYNAMIC_SHARED_SIZE_BYTES, SMEM_BYTES_EXPLICIT)); CHECK_CU(cuFuncSetAttribute(fn_gemm_implicit, CU_FUNC_ATTRIBUTE_MAX_DYNAMIC_SHARED_SIZE_BYTES, SMEM_BYTES_IMPLICIT)); printf("=== Implicit GEMM vs Explicit im2col + GEMM ===\n"); printf(" Explicit: im2col_nhwc_fp16 → col buffer → wmma_gemm_conv\n"); printf(" Implicit: implicit_gemm_conv (indices on-the-fly, no col buffer)\n\n"); for (int ci = 0; ci < num_configs; ci++) { int N = configs[ci].N; int H = configs[ci].H; int W_dim = configs[ci].W_dim; int Cin = configs[ci].Cin; int Cout = configs[ci].Cout; int kH = 3, kW = 3, pad = 1; int out_H = H, out_W = W_dim; int M_dim = N * out_H * out_W; int K_dim = Cin * kH * kW; float col_mb = (float)M_dim * K_dim * 2 / 1e6f; double flops_g = 2.0 * M_dim * K_dim * Cout / 1e9; printf("--- %s ---\n", configs[ci].label); printf(" M=%d K=%d Cout=%d col_buf=%.1f MB GFLOPs=%.2f\n", M_dim, K_dim, Cout, col_mb, flops_g); if (M_dim % 16 != 0 || K_dim % 16 != 0 || Cout % 16 != 0) { printf(" SKIP: M, K, or Cout not divisible by 16 (WMMA constraint)\n\n"); continue; } // ---- Allocate host memory ---- size_t X_elems = (size_t)N * H * W_dim * Cin; size_t W_elems = (size_t)Cout * kH * kW * Cin; size_t Y_elems = (size_t)M_dim * Cout; size_t col_elems = (size_t)M_dim * K_dim; size_t Wt_elems = (size_t)K_dim * Cout; float *host_X = new float[X_elems]; float *host_W = new float[W_elems]; float *host_Y_ref = new float[Y_elems]; float *host_Y_exp = new float[Y_elems]; float *host_Y_imp = new float[Y_elems]; unsigned short *host_Wt = new unsigned short[Wt_elems]; srand(42 + ci); fill_rand(host_X, X_elems, 0.1f); fill_rand(host_W, W_elems, 0.1f / sqrtf((float)(Cin * kH * kW))); reshape_weights_to_col(host_W, host_Wt, Cout, Cin, kH, kW); // CPU reference (skip for large configs) bool ran_cpu = (X_elems < 16 * 1024 * 1024 / 4); // skip if X > 16 MB if (ran_cpu) { cpu_conv2d_nhwc_ref(host_X, host_W, host_Y_ref, N, H, W_dim, Cin, Cout); } // ---- Device allocations ---- CUdeviceptr d_X, d_col, d_Wt, d_Y; CHECK_CU(cuMemAlloc(&d_X, X_elems * sizeof(float))); CHECK_CU(cuMemAlloc(&d_col, col_elems * sizeof(unsigned short))); CHECK_CU(cuMemAlloc(&d_Wt, Wt_elems * sizeof(unsigned short))); CHECK_CU(cuMemAlloc(&d_Y, Y_elems * sizeof(float))); CHECK_CU(cuMemcpyHtoD(d_X, host_X, X_elems * sizeof(float))); CHECK_CU(cuMemcpyHtoD(d_Wt, host_Wt, Wt_elems * sizeof(unsigned short))); int grid_m = (M_dim + BLOCK_M - 1) / BLOCK_M; int grid_n = (Cout + BLOCK_N - 1) / BLOCK_N; int im2col_threads = 256; int im2col_blocks = (int)((col_elems + im2col_threads - 1) / im2col_threads); if (im2col_blocks > 65535) im2col_blocks = 65535; void *im2col_args[] = { &d_X, &d_col, &N, &H, &W_dim, &Cin, &kH, &kW, &pad, &out_H, &out_W }; void *gemm_exp_args[]= { &d_col, &d_Wt, &d_Y, &M_dim, &K_dim, &Cout }; void *gemm_imp_args[]= { &d_X, &d_Wt, &d_Y, &N, &H, &W_dim, &Cin, &kH, &kW, &pad, &out_H, &out_W, &M_dim, &K_dim, &Cout }; // ---- Correctness: explicit ---- CHECK_CU(cuMemsetD32(d_Y, 0, Y_elems)); CHECK_CU(cuLaunchKernel(fn_im2col, im2col_blocks, 1, 1, im2col_threads, 1, 1, 0, 0, im2col_args, 0)); CHECK_CU(cuLaunchKernel(fn_gemm_explicit, grid_m, grid_n, 1, 128, 1, 1, SMEM_BYTES_EXPLICIT, 0, gemm_exp_args, 0)); CHECK_CU(cuCtxSynchronize()); CHECK_CU(cuMemcpyDtoH(host_Y_exp, d_Y, Y_elems * sizeof(float))); // ---- Correctness: implicit ---- CHECK_CU(cuMemsetD32(d_Y, 0, Y_elems)); CHECK_CU(cuLaunchKernel(fn_gemm_implicit, grid_m, grid_n, 1, 128, 1, 1, SMEM_BYTES_IMPLICIT, 0, gemm_imp_args, 0)); CHECK_CU(cuCtxSynchronize()); CHECK_CU(cuMemcpyDtoH(host_Y_imp, d_Y, Y_elems * sizeof(float))); // Compare implicit vs explicit float max_abs_vs_exp = 0.0f; for (size_t i = 0; i < Y_elems; i++) max_abs_vs_exp = fmaxf(max_abs_vs_exp, fabsf(host_Y_imp[i] - host_Y_exp[i])); printf(" vs explicit: %s (max_abs=%.2e)\n", max_abs_vs_exp < 1e-4f ? "PASS" : "FAIL", (double)max_abs_vs_exp); if (ran_cpu) { float max_abs_vs_ref = 0.0f; for (size_t i = 0; i < Y_elems; i++) max_abs_vs_ref = fmaxf(max_abs_vs_ref, fabsf(host_Y_imp[i] - host_Y_ref[i])); printf(" vs CPU ref: max_abs=%.2e\n", (double)max_abs_vs_ref); } // ---- Timing: explicit (im2col + GEMM combined) ---- float ms_explicit = 0.0f; { for (int t = 0; t < 20; t++) { CHECK_CU(cuLaunchKernel(fn_im2col, im2col_blocks,1,1, im2col_threads,1,1, 0,0, im2col_args,0)); CHECK_CU(cuLaunchKernel(fn_gemm_explicit, grid_m, grid_n,1, 128,1,1, SMEM_BYTES_EXPLICIT,0, gemm_exp_args,0)); } CHECK_CU(cuCtxSynchronize()); BenchTimer bt; bt.start(); for (int t = 0; t < 100; t++) { CHECK_CU(cuLaunchKernel(fn_im2col, im2col_blocks,1,1, im2col_threads,1,1, 0,0, im2col_args,0)); CHECK_CU(cuLaunchKernel(fn_gemm_explicit, grid_m, grid_n,1, 128,1,1, SMEM_BYTES_EXPLICIT,0, gemm_exp_args,0)); } ms_explicit = bt.stop_ms() / 100.0f; } // ---- Timing: implicit GEMM (single kernel) ---- float ms_implicit = 0.0f; { for (int t = 0; t < 20; t++) CHECK_CU(cuLaunchKernel(fn_gemm_implicit, grid_m, grid_n,1, 128,1,1, SMEM_BYTES_IMPLICIT,0, gemm_imp_args,0)); CHECK_CU(cuCtxSynchronize()); BenchTimer bt; bt.start(); for (int t = 0; t < 100; t++) CHECK_CU(cuLaunchKernel(fn_gemm_implicit, grid_m, grid_n,1, 128,1,1, SMEM_BYTES_IMPLICIT,0, gemm_imp_args,0)); ms_implicit = bt.stop_ms() / 100.0f; } double gflops_exp = flops_g / (ms_explicit * 1e-3); double gflops_imp = flops_g / (ms_implicit * 1e-3); printf(" Explicit (im2col+GEMM): %.3f ms → %6.0f GFLOPS\n", ms_explicit, gflops_exp); printf(" Implicit (single kern): %.3f ms → %6.0f GFLOPS (%.2f× speedup)\n\n", ms_implicit, gflops_imp, ms_explicit / ms_implicit); cuMemFree(d_X); cuMemFree(d_col); cuMemFree(d_Wt); cuMemFree(d_Y); delete[] host_X; delete[] host_W; delete[] host_Y_ref; delete[] host_Y_exp; delete[] host_Y_imp; delete[] host_Wt; } cuModuleUnload(mod_explicit); cuModuleUnload(mod_implicit); cuDevicePrimaryCtxRelease(cu_dev); return 0; }