/* Single-kernel BF16 -> FP8 MMA -> BF16 demo for Ada (sm_89). nvcc -I csrc -arch=sm_89 -std=c++17 -O3 --use_fast_math \ --ptxas-options=-O3,-v csrc/tests/fp8_mma_test.cu -o fp8_mma_test \ && ./fp8_mma_test */ #include "test_utils.cuh" #include #include "../kernels/common/mma.cuh" #include #include constexpr int M = 16; constexpr int N = 8; constexpr int K = 32; __device__ __forceinline__ unsigned pack_fp8x4(float x0, float x1, float x2, float x3) { __nv_fp8_e4m3 q0(x0); __nv_fp8_e4m3 q1(x1); __nv_fp8_e4m3 q2(x2); __nv_fp8_e4m3 q3(x3); return static_cast(q0.__x) | (static_cast(q1.__x) << 8) | (static_cast(q2.__x) << 16) | (static_cast(q3.__x) << 24); } __device__ __forceinline__ unsigned load_quantize_fp8x4( const bf16* src, float scale_inv) { return pack_fp8x4(__bfloat162float(src[0]) * scale_inv, __bfloat162float(src[1]) * scale_inv, __bfloat162float(src[2]) * scale_inv, __bfloat162float(src[3]) * scale_inv); } __global__ void fused_bf16_fp8_mma_kernel( const bf16* __restrict__ a, const bf16* __restrict__ b, bf16* __restrict__ out, float scale_a, float scale_b) { const int lane = threadIdx.x; const int group = lane >> 2; const int thread_in_group = lane & 3; const int k0 = thread_in_group * 4; // PTX m16n8k32 A fragment: two rows, two 16-column K partitions. unsigned a_frag[4]; a_frag[0] = load_quantize_fp8x4(&a[group * K + k0], 1.0f / scale_a); a_frag[1] = load_quantize_fp8x4(&a[(group + 8) * K + k0], 1.0f / scale_a); a_frag[2] = load_quantize_fp8x4(&a[group * K + k0 + 16], 1.0f / scale_a); a_frag[3] = load_quantize_fp8x4(&a[(group + 8) * K + k0 + 16], 1.0f / scale_a); // B is supplied as row-major [N,K], equivalent to the col-major [K,N] // operand required by the MMA instruction. unsigned b_frag[2]; b_frag[0] = load_quantize_fp8x4(&b[group * K + k0], 1.0f / scale_b); b_frag[1] = load_quantize_fp8x4(&b[group * K + k0 + 16], 1.0f / scale_b); float acc[4] = {0.0f, 0.0f, 0.0f, 0.0f}; astrai::mma_sync<__nv_fp8_e4m3>(acc, a_frag, b_frag, acc); const int col = thread_in_group * 2; const float output_scale = scale_a * scale_b; *reinterpret_cast<__nv_bfloat162*>(&out[group * N + col]) = __floats2bfloat162_rn(acc[0] * output_scale, acc[1] * output_scale); *reinterpret_cast<__nv_bfloat162*>(&out[(group + 8) * N + col]) = __floats2bfloat162_rn(acc[2] * output_scale, acc[3] * output_scale); } static float quantize_e4m3(float value) { return static_cast(__nv_fp8_e4m3(value)); } int main() { srand(0); std::vector a(M * K), b(N * K), reference(M * N, 0.0f); std::vector a_bf16(M * K), b_bf16(N * K), output(M * N); for (float& value : a) value = randf() * 4.0f; for (float& value : b) value = randf() * 4.0f; for (int i = 0; i < M * K; ++i) { a_bf16[i] = f2bf(a[i]); a[i] = bf2f(a_bf16[i]); } for (int i = 0; i < N * K; ++i) { b_bf16[i] = f2bf(b[i]); b[i] = bf2f(b_bf16[i]); } const float amax = *std::max_element( a.begin(), a.end(), [](float x, float y) { return fabsf(x) < fabsf(y); }); const float bmax = *std::max_element( b.begin(), b.end(), [](float x, float y) { return fabsf(x) < fabsf(y); }); const float scale_a = fabsf(amax) / 448.0f; const float scale_b = fabsf(bmax) / 448.0f; for (int row = 0; row < M; ++row) { for (int col = 0; col < N; ++col) { float sum = 0.0f; for (int k = 0; k < K; ++k) { float qa = quantize_e4m3(a[row * K + k] / scale_a); float qb = quantize_e4m3(b[col * K + k] / scale_b); sum = fmaf(qa, qb, sum); } reference[row * N + col] = sum * scale_a * scale_b; } } bf16 *d_a, *d_b, *d_out; CUDA_CHECK(cudaMalloc(&d_a, a_bf16.size() * sizeof(bf16))); CUDA_CHECK(cudaMalloc(&d_b, b_bf16.size() * sizeof(bf16))); CUDA_CHECK(cudaMalloc(&d_out, output.size() * sizeof(bf16))); CUDA_CHECK(cudaMemcpy(d_a, a_bf16.data(), a_bf16.size() * sizeof(bf16), cudaMemcpyHostToDevice)); CUDA_CHECK(cudaMemcpy(d_b, b_bf16.data(), b_bf16.size() * sizeof(bf16), cudaMemcpyHostToDevice)); fused_bf16_fp8_mma_kernel<<<1, 32>>>(d_a, d_b, d_out, scale_a, scale_b); CUDA_CHECK(cudaDeviceSynchronize()); CUDA_CHECK(cudaMemcpy(output.data(), d_out, output.size() * sizeof(bf16), cudaMemcpyDeviceToHost)); float max_abs_error = 0.0f; float max_rel_error = 0.0f; for (int i = 0; i < M * N; ++i) { float error = fabsf(bf2f(output[i]) - reference[i]); max_abs_error = fmaxf(max_abs_error, error); max_rel_error = fmaxf(max_rel_error, error / fmaxf(fabsf(reference[i]), 1e-4f)); } const bool pass = max_abs_error < 0.05f; print_test_header(); print_test_row("M=16 N=8 K=32 fused BF16->E4M3 MMA", max_abs_error, max_rel_error, pass); cudaFree(d_a); cudaFree(d_b); cudaFree(d_out); return pass ? 0 : 1; }