#pragma once // FP8 GEMM device code — pure CUDA, no torch. Mirrors the attention kernel // layout (attn_*_mma.cuh): kernels take the FP8Params POD, tile shape and // FP8 format ride on compile-time template parameters, and launchers are // plain functions usable from both the torch binding and pure C tests. #include #include #include #include #include "common.h" #include "../common/cp_async.cuh" #include "../common/mma.cuh" #include "../common/reduce.cuh" namespace astrai { namespace fp8 { // m16n8k32 (see astrai::mma_shape::k in common/mma.cuh) constexpr int kMmaK = 32; constexpr int kWarps = 8; // 128x128 CTA = 8 warps // log2 of a compile-time power of two (for tile_at's swizzle shift). template struct log2_const : log2_const<(N >> 1), Acc + 1> {}; template struct log2_const<1, Acc> { static constexpr int value = Acc; }; // Map the FP8Format enum to the CUDA fp8 element type consumed by mma_sync. template struct fp8_input { using type = __nv_fp8_e4m3; }; template <> struct fp8_input { using type = __nv_fp8_e5m2; }; // --------------------------------------------------------------------------- // Shared device helpers // --------------------------------------------------------------------------- // FP8 MMA lives in the shared astrai::mma_sync template (common/mma.cuh); // instantiate it with fp8_input::type. Accumulates in-place: callers // pass the same accumulator array as both `d` and `c`. // warp_reduce_max / atomic_max_float (quantize amax) live in // common/reduce.cuh; the cp.async pipeline primitives (predicated 16-byte // copy, commit_group, wait_group + runtime dispatch) in common/cp_async.cuh. // --------------------------------------------------------------------------- // Quantize kernel: BF16 -> FP8 (E4M3 or E5M2), fused amax over raw values. // --------------------------------------------------------------------------- // Convert one packed bf16 pair to one packed fp8 pair. amax sees the *raw* // (unscaled) values; the stored bytes see value * inv. Bit-identical to the // scalar __nv_fp8_*(q) constructor path (round-nearest-even + satfinite). template __device__ __forceinline__ unsigned quantize2(unsigned pair, float inv, float& amax) { const float lo = __bfloat162float(__ushort_as_bfloat16(pair & 0xffffu)); const float hi = __bfloat162float(__ushort_as_bfloat16(pair >> 16)); amax = fmaxf(amax, fmaxf(fabsf(lo), fabsf(hi))); constexpr __nv_fp8_interpretation_t kFmt = Fmt == FP8Format::E5M2 ? __NV_E5M2 : __NV_E4M3; return static_cast( __nv_cvt_float2_to_fp8x2(make_float2(lo * inv, hi * inv), __NV_SATFINITE, kFmt)); } template __global__ void fp8_quantize_kernel(FP8Params p) { const float inv = 1.0f / *p.scale_a; const auto* x = reinterpret_cast(p.a_ptr); void* x8 = p.out_ptr; float* amax = p.amax_a; float local_amax = 0.0f; const int64_t stride = (int64_t)blockDim.x * gridDim.x; // Vectorized body: 8 bf16 (16B load) -> 8 fp8 (8B store) per step. Torch // allocations are >=16B aligned and the binding passes freshly allocated // contiguous buffers, so element 0 keeps the uint4/uint2 accesses // natural; a misaligned base (contiguous view with an odd storage // offset) falls back to the scalar loop below via total_vec = 0. const bool aligned = ((reinterpret_cast(x) | reinterpret_cast(x8)) & 15) == 0; const int64_t total_vec = aligned ? p.total / 8 : 0; const uint4* xv = reinterpret_cast(x); uint2* o8 = reinterpret_cast(x8); for (int64_t i = blockIdx.x * blockDim.x + threadIdx.x; i < total_vec; i += stride) { const uint4 v = xv[i]; const unsigned pair[4] = {v.x, v.y, v.z, v.w}; unsigned packed[2] = {0u, 0u}; #pragma unroll for (int j = 0; j < 4; ++j) packed[j >> 1] |= quantize2(pair[j], inv, local_amax) << (16 * (j & 1)); o8[i] = make_uint2(packed[0], packed[1]); } // Scalar tail (and full fallback for misaligned bases). for (int64_t i = total_vec * 8 + blockIdx.x * blockDim.x + threadIdx.x; i < p.total; i += stride) { const float f = __bfloat162float(x[i]); local_amax = fmaxf(local_amax, fabsf(f)); if constexpr (Fmt == FP8Format::E5M2) { reinterpret_cast<__nv_fp8_e5m2*>(x8)[i] = __nv_fp8_e5m2(f * inv); } else { reinterpret_cast<__nv_fp8_e4m3*>(x8)[i] = __nv_fp8_e4m3(f * inv); } } if (amax) { local_amax = warp_reduce_max(local_amax); __shared__ float slots[32]; if ((threadIdx.x & 31) == 0) slots[threadIdx.x >> 5] = local_amax; __syncthreads(); if (threadIdx.x == 0) { float v = 0.0f; for (int w = 0; w < (blockDim.x >> 5); ++w) v = fmaxf(v, slots[w]); atomic_max_float(amax, v); } } } // Swizzled address inside a flat [rows * K] staging tile: the 16-byte chunk // index is XORed with a row-dependent slice so a warp's fragment load (8 // consecutive rows x 16B) hits all 32 banks exactly once. With kChunks // power-of-two chunks per row, the XOR source is the top log2(kChunks) bits // of the row index within each group of 8: // kChunks=2 -> row bits [3] (K=32: rows r and r+4 diverge) // kChunks=4 -> row bits [2:1] (K=64: rows diverge every 2) // kChunks=8 -> row bits [2:0] (K=128: every row) // (row word-stride is K/4 words = 4*kChunks, so unswizzled rows r and // r + 8/kChunks collide mod 32 banks; the XOR spreads the 8 rows of one // ldmatrix matrix across the 8 distinct 4-bank groups.) Chunks stay // contiguous, so the cp.async 16B staging path is unaffected. template __device__ __forceinline__ T8* tile_at(T8* tile, int row, int col) { constexpr int kChunks = K / 16; // 16B chunks per row static_assert(kChunks >= 1 && (kChunks & (kChunks - 1)) == 0, "swizzle needs a power-of-two 16B-chunk count"); constexpr int kShift = 3 - log2_const::value; return tile + row * K + ((((col >> 4) ^ ((row >> kShift) & (kChunks - 1))) << 4) + (col & 15)); } // Stage-load one GEMM operand into the canonical flat [rows * K] shared tile // (addressing via tile_at, so stores land in the swizzled layout). The // transpose is folded into the staging step via a CUTLASS-style crosswise // layout: RowMajor (stored [rows][contract]) copies 16-byte K-contiguous runs // with cp.async, while ColMajor (stored [contract][rows]) reads 16-byte runs // along the operand's contiguous non-contract dim and scatters them across // the tile's rows. RowsTile is the tile's row capacity (kBlockM / kBlockN) // and kThreads the CTA size; the runtime `rows` bound may be smaller (tail // predication). `block_row` is this block's origin in the operand's row dim. template __device__ __forceinline__ void load_operand_tile( T8* tile, const T8* __restrict__ operand, int64_t rows, int64_t contract, int64_t ld, int tid, int64_t k_base, int64_t block_row) { constexpr int kChunks = K / 16; static_assert(RowsTile * kChunks % kThreads == 0, "tile chunks must divide evenly across threads"); constexpr int kCpt = RowsTile * kChunks / kThreads; // chunks per thread if constexpr (std::is_same_v) { // Operand stored [contract][rows]: contiguous along the non-contract // dim. Each thread scatters one 16-byte run per K/32 pass; when the // tile has more 16-row groups than warps (RowsTile > kThreads/2), // each thread covers several groups. constexpr int kWarpsTile = kThreads / 32; constexpr int kGroups = RowsTile / 16; static_assert(kGroups % kWarpsTile == 0, "row groups must divide evenly across warps"); #pragma unroll for (int g = 0; g < kGroups / kWarpsTile; ++g) { const int rg = (tid >> 5) + g * kWarpsTile; const int kl = tid & 31; // byte column within a 32B pass const int64_t r0 = block_row + rg * 16; #pragma unroll for (int pass = 0; pass < K / 32; ++pass) { const int col = kl + pass * 32; const int64_t k_idx = k_base + col; const auto* src = operand + k_idx * ld + r0; if (k_idx < contract && r0 + 15 < rows && (reinterpret_cast(src) & 15) == 0) { const uint4 v = *reinterpret_cast(src); const auto* bytes = reinterpret_cast(&v); // Scatter 16 bytes along the tile rows through tile_at's // swizzle. Rows sharing a physical chunk form groups of // (8 / kChunks) consecutive rows (see tile_at), so each // group is one tile_at address plus a K-byte row stride. constexpr int kGrp = 8 / kChunks; #pragma unroll for (int j = 0; j < 16 / kGrp; ++j) { T8* p = tile_at(tile, rg * 16 + j * kGrp, col); #pragma unroll for (int i = 0; i < kGrp; ++i) p[i * K] = bytes[j * kGrp + i]; } } else { // Predicated fallback: same layout, byte-granular gather. #pragma unroll for (int i = 0; i < 16; ++i) { const int64_t r_idx = r0 + i; *tile_at(tile, rg * 16 + i, col) = (r_idx < rows && k_idx < contract) ? operand[k_idx * ld + r_idx] : T8(0.0f); } } } } } else { // Operand stored [rows][contract]: contiguous along the contract dim. // Linear chunk mapping: thread covers kCpt consecutive 16B chunks of // one row (K=64: a contiguous 32B pair; K=32: a single chunk). const int r = tid / (kChunks / kCpt); #pragma unroll for (int j = 0; j < kCpt; ++j) { const int c = ((tid % (kChunks / kCpt)) * kCpt + j) * 16; const int64_t row = block_row + r; const auto* src = operand + row * ld + k_base + c; T8* dst = tile_at(tile, r, c); if (row < rows && k_base + c + 15 < contract && (reinterpret_cast(src) & 15) == 0) { astrai::cp_async_16(dst, src, true); } else { #pragma unroll for (int i = 0; i < 16; ++i) dst[i] = row < rows && k_base + c + i < contract ? src[i] : T8(0.0f); } } } } // --------------------------------------------------------------------------- // Pre-quantized GEMM kernel: FP8 A/B read straight into shared memory, FP32 // accumulation, BF16 or FP8 output. The input format follows Traits; the // tile is compact (row = kK bytes) so MMA fragments read directly — no // in-kernel transpose of the operands (the binding handles transposes). // --------------------------------------------------------------------------- // Swizzled 16B-chunk address (tile_at's layout) as a raw shared-memory // pointer for ldmatrix. Valid for kK in {32, 64} (the swizzle itself lives // only in tile_at; this wrapper just converts the element address). template __device__ __forceinline__ unsigned frag_addr(const T8* tile, int row, int chunk) { static_assert(kK == 32 || kK == 64, "fragment swizzle offsets assume kK in {32, 64}"); return __cvta_generic_to_shared(tile_at(tile, row, chunk << 4)); } // LayoutA / LayoutB tag the operands' storage (CUTLASS-style, see common.h): // A RowMajor = [M][K] / ColMajor = [K][M]; B RowMajor = [K][N] / // ColMajor = [N][K]. The kernel always computes // out[m][n] = sum_p tileA[m][p] * tileB[n][p] // with the tiles materialized in the canonical [M][kK] / [N][kK] layout, so the // MMA fragments are read identically regardless of layout. The tags only // change how the stage-load gathers the operand from global memory: // A ColMajor: tileA[m][p] = a[p*a_ld + m]; A RowMajor: a[m*a_ld + p] // B RowMajor: tileB[n][p] = b[p*b_ld + n]; B ColMajor: b[n*b_ld + p] // BlockM x BlockN CTA as (BlockM/64) x (BlockN/32) warps of 64x32 warp tiles // (mt x nt = 4x4 MMA each). The 64x128 variant runs 4 warps / 128 threads and // exists for small-M calls: m <= 64 wastes half of every 128-row CTA, so the // launcher dispatches to it there (see launch_fp8_gemm). template __global__ void __launch_bounds__( (Traits::kBlockM / 64) * (Traits::kBlockN / 32) * 32, 2) fp8_gemm_kernel(FP8Params p) { using T8 = std::conditional_t; constexpr int kBlockM = Traits::kBlockM; constexpr int kBlockN = Traits::kBlockN; constexpr int kK = Traits::kK; constexpr int kStages = Traits::kStages; constexpr int kCtaThreads = (kBlockM / 64) * (kBlockN / 32) * 32; static_assert(kStages >= 1 && kStages <= 8, "FP8 GEMM stages must be in the range [1, 8]"); // Tiles are flat [rows * kK] with a 16B-chunk XOR swizzle (tile_at): // ldmatrix reads whole 16B chunks through the same mapping the staging // writes, and the swizzle removes the bank conflict the unswizzled // 8-word row stride caused (see tile_at). __shared__ __align__(16) T8 a_smem[kStages][kBlockM * kK]; __shared__ __align__(16) T8 b_smem[kStages][kBlockN * kK]; const auto* a = reinterpret_cast(p.a_ptr); const auto* b = reinterpret_cast(p.b_ptr); auto* out_bf16 = reinterpret_cast<__nv_bfloat16*>(p.out_ptr); auto* out_fp8 = reinterpret_cast<__nv_fp8_e4m3*>(p.out_ptr); const int64_t m = p.m, n = p.n, k = p.k; const int64_t a_ld = p.a_ld, b_ld = p.b_ld; const int tid = threadIdx.x; const int warp = tid >> 5; const int lane = tid & 31; const int group = lane >> 2; const int thread_in_group = lane & 3; // L2-friendly rasterization (CUTLASS-style grouped launch order): remap // the linear block id so consecutive CTAs cover a group of kGroupM M-tiles // before advancing along N. All CTAs of one group share the same B column // stripe, so B tiles stay hot in L2 across the wave (the default // N-fastest order makes each wave touch every B tile instead). // Measured win for the A-crosswise layouts (10-21% at K>=2048) and loss // for A-congruous (-17..20%, A's cp.async stream prefers the N-fastest // order) — so the branch follows LayoutA. constexpr int kGroupM = 8; int block_m, block_n; if constexpr (std::is_same_v) { const int blocks_m = gridDim.y; const int bid = blockIdx.y * gridDim.x + blockIdx.x; const int group_first_m = (bid / (kGroupM * gridDim.x)) * kGroupM; const int group_rows = min(blocks_m - group_first_m, kGroupM); // M-tail group is short block_m = group_first_m + bid % group_rows; block_n = (bid % (kGroupM * gridDim.x)) / group_rows; } else { block_m = blockIdx.y; block_n = blockIdx.x; } // 128x128 CTA = 8 warps as 2x4 warp tiles of 64x32 (mt x nt = 4x4 MMA). constexpr int warps_n = kBlockN / 32; const int warp_m = warp / warps_n; const int warp_n = warp % warps_n; const int64_t row_base = (int64_t)block_m * kBlockM + warp_m * 64 + group; const int64_t output_col = (int64_t)block_n * kBlockN + warp_n * 32 + thread_in_group * 2; const int a_row0 = warp_m * 64; // + mt * 16 in the loop const int b_row0 = warp_n * 32; // + nt * 8 const float sa = *p.scale_a; const float sb = *p.scale_b; float acc[4][4][4] = {}; // [nt][mt][acc] // Both operands are staged into the canonical [M][kK] / [N][kK] shared // tiles regardless of their global layout (see load_operand_tile), so the // MMA fragment reads below stay unchanged across the four layout // combinations. A's tag already names the operand view ([M][K] = // [rows][contract]); B's tag is relative to the canonical [K][N], so the // stage-load sees its transpose (transpose_layout_t, see common.h). auto load_tile = [&](int stage, int64_t k_base) { load_operand_tile( a_smem[stage], a, m, k, a_ld, tid, k_base, (int64_t)block_m * kBlockM); load_operand_tile, kBlockN, kCtaThreads>( b_smem[stage], b, n, k, b_ld, tid, k_base, (int64_t)block_n * kBlockN); }; const int64_t tile_count = (k + kK - 1) / kK; // Per-lane ldmatrix row/chunk selectors for common/mma.cuh's // ldmatrix_*_lane (the fragment tiles are XOR-swizzled per 16B chunk, so // each lane computes its own row/chunk address). Layout contract for fp8 // m16n8k32 (values packed two-per-b16 slot, K-contiguous rows): // x4 (A fragment): lane i points at tile row (i>>3 & 1)*8 + (i&7) of // chunk (k_seg*2 + (i>>4)); reg j = matrix j = [row g][tig*4..+3] in // the order (rows 0-7 c, rows 8-15 c, rows 0-7 c+1, rows 8-15 c+1) — // exactly the mma.sync A operand layout. // x2 (B fragment): lane i points at tile row (i&7) of chunk // (k_seg*2 + ((i>>3) & 1)); reg j = [row(n) g][tig*4..+3] chunk c/c+1 // — exactly the mma.sync B operand layout (col operand, K-contiguous). const int r7 = lane & 7; // row within the 8-row matrix const int rh8 = (lane >> 3) & 1; // +8 rows (A: lanes 8-15, 24-31) const int rh16 = lane >> 4; // +1 chunk (A: lanes 16-31; B uses rh8) // Prime the pipeline. Each committed group occupies one circular shared // memory stage; the loop also handles K dimensions smaller than kStages. #pragma unroll for (int stage = 0; stage < kStages; ++stage) { if (stage < tile_count) { load_tile(stage, static_cast(stage) * kK); astrai::cp_async_commit_group(); } } for (int64_t tile_index = 0; tile_index < tile_count; ++tile_index) { const int stage = static_cast(tile_index % kStages); const int64_t remaining = tile_count - tile_index - 1; // Keep up to kStages - 1 younger groups in flight while making the // oldest group (the current stage) ready for consumption. const int keep_groups = remaining < kStages - 1 ? static_cast(remaining) : kStages - 1; astrai::cp_async_wait_group_dispatch(keep_groups); // Barrier 1: every thread's cp.async for this stage is complete // before any thread reads tiles written by other threads. __syncthreads(); // 4 ldmatrix.x2 (B) + 4 ldmatrix.x4 (A) feed 16 mma.sync per k_seg — // 0.5 load instructions per MMA, versus 4.5 scalar LDS per MMA in // the 128x64-tile version (the kernel was LSU-issue-bound there). constexpr int kSegs = kK / kMmaK; // B fragments double-buffered across k_segs: the next k_seg's B load // is issued before the current k_seg's MMA sequence, so its LDS // latency hides behind the A pipeline + tensor-pipe work (same trick // as the A mt+1 prefetch below; costs kSegs x 8 registers). unsigned b_frag[2][4][2]; #pragma unroll for (int nt = 0; nt < 4; ++nt) { const int row = b_row0 + nt * 8 + r7; astrai::ldmatrix_x2_lane(b_frag[0][nt], frag_addr(b_smem[stage], row, rh8)); } #pragma unroll for (int k_seg = 0; k_seg < kSegs; ++k_seg) { const int bcur = k_seg & 1, bnext = bcur ^ 1; if (k_seg + 1 < kSegs) { #pragma unroll for (int nt = 0; nt < 4; ++nt) { const int row = b_row0 + nt * 8 + r7; astrai::ldmatrix_x2_lane(b_frag[bnext][nt], frag_addr(b_smem[stage], row, (k_seg + 1) * 2 + rh8)); } } // Software-pipelined A fragments: the ldmatrix.x4 for row mt+1 // is issued before the MMAs consuming row mt, so the LDS fixed // latency hides behind tensor-pipe work (cuts the `wait` stall, // ~2.3 cycles/issue before this). Costs 4 extra registers. unsigned a_frag[5][4]; astrai::ldmatrix_x4_lane(a_frag[0], frag_addr(a_smem[stage], a_row0 + rh8 * 8 + r7, k_seg * 2 + rh16)); #pragma unroll for (int mt = 0; mt < 4; ++mt) { if (mt < 3) astrai::ldmatrix_x4_lane(a_frag[mt + 1], frag_addr( a_smem[stage], a_row0 + (mt + 1) * 16 + rh8 * 8 + r7, k_seg * 2 + rh16)); #pragma unroll for (int nt = 0; nt < 4; ++nt) astrai::mma_sync(acc[nt][mt], a_frag[mt], b_frag[bcur][nt], acc[nt][mt]); } } // Barrier 2: every thread finished reading this stage's tiles before // the prefetch for the (i+kStages)-th tile overwrites them. __syncthreads(); if (tile_index + kStages < tile_count) { load_tile(stage, (tile_index + kStages) * kK); astrai::cp_async_commit_group(); } } const float output_scale = sa * sb; const float o8_scale = OutFp8 ? output_scale * *p.out_scale : 0.0f; #pragma unroll for (int nt = 0; nt < 4; ++nt) { const int64_t col = output_col + nt * 8; // Per-row store: FP8 packs two adjacent columns into one 16-bit // write, BF16 into one 32-bit __nv_bfloat162 (single cvt+pack // instruction); boundary or unaligned columns fall back to scalar // converts so a pack never crosses the row edge or misaligns. auto store_out = [&](int64_t row, float v0, float v1) { if (row >= m) return; if constexpr (OutFp8) { if (col + 1 < n) { *reinterpret_cast(out_fp8 + row * n + col) = static_cast(__nv_cvt_float2_to_fp8x2( make_float2(v0 * o8_scale, v1 * o8_scale), __NV_SATFINITE, __NV_E4M3)); } else { out_fp8[row * n + col] = __nv_fp8_e4m3(v0 * o8_scale); } } else { auto* dst = out_bf16 + row * n + col; if (col + 1 < n && (reinterpret_cast(dst) & 3) == 0) { *reinterpret_cast<__nv_bfloat162*>(dst) = __floats2bfloat162_rn(v0 * output_scale, v1 * output_scale); } else { dst[0] = __float2bfloat16(v0 * output_scale); if (col + 1 < n) dst[1] = __float2bfloat16(v1 * output_scale); } } }; #pragma unroll for (int mt = 0; mt < 4; ++mt) { const int64_t row0 = row_base + mt * 16; float* tile_acc = acc[nt][mt]; if (col < n) { store_out(row0, tile_acc[0], tile_acc[1]); store_out(row0 + 8, tile_acc[2], tile_acc[3]); } } } } // --------------------------------------------------------------------------- // Launchers — pure CUDA (no torch), usable from the binding and pure C tests. // --------------------------------------------------------------------------- template void launch_fp8_quantize(const FP8Params& p, cudaStream_t stream) { constexpr int kThreads = 256; // One block per 256 vectors (8 elements each); at least one block so the // scalar tail of a tiny / misaligned tensor is still covered. int64_t blocks = (p.total / 8 + kThreads - 1) / kThreads; if (blocks < 1) blocks = 1; fp8_quantize_kernel<<>>(p); } // Pre-quantized GEMM tile config: 128x128 CTA (8 warps x 64x32 warp tiles). // kK selects the K tile (32 or 64; 64 halves the __syncthreads count per K // and doubles the MMA work per stage, at 2x the smem per stage — measured // 10-35% across shapes, so 64 is the default). Stages=2 with kK=64 keeps the // pipeline at 32KB smem; deeper pipelines only win on K >= 4096 squares and // lose elsewhere. LayoutA/LayoutB mirror the kernel template (defaults keep // the NN layout: out = a @ b). m <= 64 dispatches to the 64x128 CTA — a // 128-row CTA would waste half its MMA work on predicated-off rows. template void launch_fp8_gemm(const FP8Params& p, cudaStream_t stream) { dim3 grid((p.n + 127) / 128, (p.m + 127) / 128); if (p.m <= 64) { using Traits = Fp8GemmTraits; fp8_gemm_kernel <<>>(p); } else { using Traits = Fp8GemmTraits; fp8_gemm_kernel <<>>(p); } } } // namespace fp8 } // namespace astrai