#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(FP8QuantizeParams 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); } } if (p.ring_state && amax) { // Delayed-scaling ring finalization as a last-block epilogue (the // CUDA threadFenceReduction pattern): the fence + counter elect the // final block once every block's atomic_max above is visible; warp 0 // folds the fresh amax into the window, reduces it and publishes the // next step's scale, then re-arms the counter for the next launch. // __fdiv_rn / ldexpf keep the scale bit-identical to the eager // (peak / fp8_max) / 2^margin fp32 chain despite --use_fast_math. __threadfence(); __shared__ bool ring_last; if (threadIdx.x == 0) ring_last = atomicAdd(reinterpret_cast(p.ring_state + p.ring_len + 1), 1) == gridDim.x - 1; __syncthreads(); if (ring_last && threadIdx.x < 32) { float* hist = p.ring_state; const int lane = threadIdx.x; float v = 0.0f; if (lane < p.ring_len) v = hist[lane]; if (lane == p.ring_idx) { v = *amax; // the global amax is final now hist[lane] = v; } // Windows longer than one warp (atypical) fold the tail. for (int i = lane + 32; i < p.ring_len; i += 32) { float h = hist[i]; if (i == p.ring_idx) { h = *amax; hist[i] = h; } v = fmaxf(v, h); } const float peak = warp_reduce_max(v); if (lane == 0) { constexpr float kFmtMax = Fmt == FP8Format::E5M2 ? 57344.0f : 448.0f; p.ring_state[p.ring_len] = fmaxf( ldexpf(__fdiv_rn(peak, kFmtMax), -p.ring_margin), 1e-12f); __threadfence(); // Re-arm the counter (0.0f bits == int32 0). p.ring_state[p.ring_len + 1] = 0.0f; } } } } // 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 a CONGRUOUS operand (stored [rows][contract], contract- // contiguous — the only cp.async-able shape for the canonical tile) into the // flat [rows * K] shared tile via tile_at's swizzle. Crosswise operands go // through stage_crosswise_tile + transpose_crosswise_tile instead. 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 // Linear chunk mapping: thread covers kCpt consecutive 16B chunks of // one row (K=64: a contiguous 32B pair; K=32: a single chunk). constexpr int kCpr = kChunks / kCpt; // chunks per row slice const int r = tid / kCpr; const int c0 = (tid % kCpr) * kCpt * 16; const int64_t row = block_row + r; const bool row_ok = row < rows; // k_base and every c are multiples of 16, so the per-chunk sources // share the row base's alignment. const auto* src = operand + row * ld + k_base; const bool chunk_aligned = (reinterpret_cast(src) & 15) == 0; #pragma unroll for (int j = 0; j < kCpt; ++j) { const int c = c0 + j * 16; T8* dst = tile_at(tile, r, c); if (row_ok && chunk_aligned && k_base + c + 15 < contract) { astrai::cp_async_16(dst, src + c, true); } else { // Tail chunk (or misaligned base): predicated scalar fill. #pragma unroll for (int i = 0; i < 16; ++i) dst[i] = row_ok && k_base + c + i < contract ? src[c + 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, 128} (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 || kK == 128, "fragment swizzle offsets assume kK in {32, 64, 128}"); return __cvta_generic_to_shared(tile_at(tile, row, chunk << 4)); } // Crosswise operands (stored [contract][rows], rows-contiguous) cannot be // cp.async'd into the canonical [rows][contract] tile — a 16B global run // holds one contract byte for each of 16 rows. They stage K-major instead // (byte (p, r) at p*RowsTile + r), where the very same runs land contiguously // and cp.async applies unchanged; a per-tile smem->smem transpose (below) // then produces the canonical swizzled tile the MMA fragments read. This // keeps the whole global→shared path asynchronous — the synchronous // LDG+byte-scatter staging this replaces left the kernel long-scoreboard // bound (ncu: 4.6 stalled loads per issue vs 0.4 on the congruous path). template __device__ __forceinline__ void stage_crosswise_tile(T8* staging, 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 kRuns = K * RowsTile / 16; // 16B runs per tile // r0 is a multiple of 16 and p*ld keeps 16B alignment whenever ld has it, // so one uniform verdict covers every run. const bool run_aligned = ((reinterpret_cast(operand) | ld) & 15) == 0; for (int run = tid; run < kRuns; run += kThreads) { const int pl = run % K; // local contract byte (column of the run) const int rg = run / K; // 16-row group const int64_t r0 = block_row + (int64_t)rg * 16; T8* dst = staging + pl * RowsTile + rg * 16; if (run_aligned && r0 + 15 < rows && k_base + pl < contract) astrai::cp_async_16(dst, operand + (k_base + pl) * ld + r0, true); else { // Row tail, contract tail or misaligned base: predicated fill. #pragma unroll for (int i = 0; i < 16; ++i) { const int64_t r = r0 + i; dst[i] = r < rows && k_base + pl < contract ? operand[(k_base + pl) * ld + r] : T8(0.0f); } } } } // Direct (synchronous) crosswise load into a canonical rotating stage: // LDG.128 x4 (4 consecutive contract bytes x 16 rows) + in-register PRMT // transpose + 16 STS.32. Used for crosswise operands whose global data is // typically L2-resident (the A side of dW): the staging detour's extra // shared-memory round trip costs more than the latency it hides there, // while crosswise B operands (DRAM-streamed weights of dX) take the // asynchronous stage_crosswise_tile path instead. template __device__ __forceinline__ void load_crosswise_direct(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 kQuads = K / 4; // 4-byte contract quads per tile constexpr int kGroups = RowsTile / 16; constexpr int kTChunks = kQuads * kGroups; // 64B chunks per tile // r0 is always a multiple of 16 (block_row is a multiple of RowsTile and // each group covers 16 rows), and p*ld keeps the base 16B-aligned // whenever ld is, so every run of a chunk shares one alignment verdict. const bool run_aligned = ((reinterpret_cast(operand) | ld) & 15) == 0; for (int chunk = tid; chunk < kTChunks; chunk += kThreads) { const int quad = chunk / kGroups; const int rg = chunk % kGroups; const int64_t r0 = block_row + rg * 16; const bool rows_full = r0 + 15 < rows; if (rows_full && run_aligned) { const int64_t p0 = k_base + quad * 4; uint4 v[4]; #pragma unroll for (int s = 0; s < 4; ++s) { // Contract tail: a run past k carries zero bytes; they flow // through the PRMT transpose like any other value. if (p0 + s < contract) v[s] = *reinterpret_cast( operand + (p0 + s) * ld + r0); else v[s] = make_uint4(0u, 0u, 0u, 0u); } const unsigned* bytes = reinterpret_cast(v); #pragma unroll for (int i = 0; i < 16; ++i) { // word i = row r0+i's quad: byte i of each of the four runs // [v0.b(i), v1.b(i), v2.b(i), v3.b(i)]. Byte i of a uint4 // lives in its (i>>2)-th 32-bit register. const unsigned nib = i & 3; const unsigned sel = nib | ((nib + 4) << 4); const unsigned w01 = __byte_perm(bytes[0 + (i >> 2)], bytes[4 + (i >> 2)], sel); const unsigned w23 = __byte_perm(bytes[8 + (i >> 2)], bytes[12 + (i >> 2)], sel); *reinterpret_cast(tile_at(tile, rg * 16 + i, quad * 4)) = __byte_perm(w01, w23, 0x5410u); } } else { // Row-tail or misaligned chunk: byte-granular gather with // per-row predication; contract-tail columns zero-fill. #pragma unroll for (int s = 0; s < 4; ++s) { const int col = quad * 4 + s; if (k_base + col >= contract) { #pragma unroll for (int i = 0; i < 16; ++i) *tile_at(tile, rg * 16 + i, col) = T8(0.0f); continue; } #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 ? operand[(k_base + col) * ld + r_idx] : T8(0.0f); } } } } } // K-major staging -> canonical [rows][kK] swizzled tile, one chunk at a time. // Each chunk (indexed within a k_seg region of `quads_per_seg` quads) covers // 4 consecutive contract bytes x 16 rows: four LDS.128 grab the staging runs, // PRMT byte selects transpose them in registers, and sixteen STS.32 land the // row quads through tile_at's swizzle — 4x fewer store instructions than a // byte-granular scatter. Chunk-at-a-time lets the caller pool work across // operands; the region restriction lets the main loop overlap one region's // transpose with another region's MMAs (a whole-tile serial transpose put // the crosswise GEMMs at 25% tensor utilization). template __device__ __forceinline__ void transpose_crosswise_region(T8* tile, const T8* staging, int idx, int quad0) { constexpr int kGroups = RowsTile / 16; const int quad = quad0 + idx / kGroups; const int rg = idx % kGroups; // The four runs sit RowsTile bytes apart (one per contract byte of the // quad); each run is 16 contiguous staging bytes = 16 rows. const char* run0 = reinterpret_cast( staging + quad * 4 * RowsTile + rg * 16); uint4 v[4]; #pragma unroll for (int s = 0; s < 4; ++s) v[s] = *reinterpret_cast(run0 + s * RowsTile); const unsigned* bytes = reinterpret_cast(v); #pragma unroll for (int i = 0; i < 16; ++i) { // word i = row r0+i's quad: byte i of each of the four runs // [v0.b(i), v1.b(i), v2.b(i), v3.b(i)]. Byte i of a uint4 lives in // its (i>>2)-th 32-bit register. const unsigned nib = i & 3; const unsigned sel = nib | ((nib + 4) << 4); const unsigned w01 = __byte_perm(bytes[0 + (i >> 2)], bytes[4 + (i >> 2)], sel); const unsigned w23 = __byte_perm(bytes[8 + (i >> 2)], bytes[12 + (i >> 2)], sel); *reinterpret_cast(tile_at(tile, rg * 16 + i, quad * 4)) = __byte_perm(w01, w23, 0x5410u); } } // Layout-aware shared-memory budget and occupancy hint. A congruous or // direct-crosswise operand needs its kStages rotating canonical buffers; a // staged-crosswise operand (crosswise B with kBStaged) needs kStages K-major // staging buffers plus ONE canonical buffer (rewritten every tile by the // in-kernel transpose). The 48KB static-smem watermark picks the resident-CTA // hint for __launch_bounds__ (sm_89: 100KB smem per SM, so two CTAs fit while // each stays within the static budget). template struct Fp8GemmSmem { // Crosswise = the stage-load's view: A's tag directly, B's transposed. // A-crosswise always loads direct (L2-typical activations); B-crosswise // stages only when its contract dim is long enough to stream DRAM. static constexpr bool kCrossA = std::is_same_v; static constexpr bool kCrossB = std::is_same_v; static constexpr bool kBStagePath = kCrossB && StagedB; static constexpr int kBytes = Traits::kStages * Traits::kBlockM * Traits::kK + (kBStagePath ? Traits::kStages + 1 : Traits::kStages) * Traits::kBlockN * Traits::kK; static constexpr int kMinCtas = kBytes <= 48 * 1024 ? 2 : 1; }; // 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::kCtaThreads, Fp8GemmSmem::kMinCtas) 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 = Traits::kCtaThreads; constexpr bool kCrossA = Fp8GemmSmem::kCrossA; constexpr bool kCrossB = Fp8GemmSmem::kCrossB; constexpr bool kBStagePath = Fp8GemmSmem::kBStagePath; static_assert(kStages >= 1 && kStages <= 8, "FP8 GEMM stages must be in [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). The stages live in dynamic // shared memory so deep pipelines (kStages * (kBlockM + kBlockN) * kK > // 48KB static limit) opt in via cudaFuncSetAttribute in the launcher. extern __shared__ __align__(16) char fp8_gemm_smem[]; // Per operand: congruous or direct-crosswise = kStages rotating canonical // buffers; staged-crosswise (B) = kStages K-major staging buffers (filled // by cp.async, one per tile in flight) followed by one canonical buffer // the per-tile transpose rewrites. constexpr int kAStageBytes = kBlockM * kK; constexpr int kBStageBytes = kBlockN * kK; constexpr int kStB = kStages; // B staging ring size (see above) T8* const a_base = reinterpret_cast(fp8_gemm_smem); T8* const b_base = reinterpret_cast(fp8_gemm_smem + kStages * kAStageBytes); T8* const b_canon = b_base + kStages * kBStageBytes; // crosswise B only 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). // kGroupRaster is a template knob (the launcher defaults it to the // measured best per layout: grouped for A-crosswise (dW) and for the // congruous NT forward — whose big B operand gains the most from the // shared stripe — plain for dX's crosswise-B layouts, where it measured // neutral). constexpr int kGroupM = 8; int block_m, block_n; if constexpr (kGroupRaster) { 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 end up in the canonical [M][kK] / [N][kK] shared tiles // the MMA fragments read, regardless of their global layout. 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). Congruous operands cp.async // straight into their rotating canonical buffers; crosswise operands // cp.async into K-major staging (zero transformation) and get a per-tile // smem->smem transpose below. auto load_tile = [&](int tile, int stage, int64_t k_base) { if constexpr (kCrossA) { load_crosswise_direct( a_base + stage * kAStageBytes, a, m, k, a_ld, tid, k_base, (int64_t)block_m * kBlockM); } else { load_operand_tile( a_base + stage * kAStageBytes, a, m, k, a_ld, tid, k_base, (int64_t)block_m * kBlockM); } if constexpr (kBStagePath) { stage_crosswise_tile( b_base + (tile % kStB) * kBStageBytes, b, n, k, b_ld, tid, k_base, (int64_t)block_n * kBlockN); } else if constexpr (kCrossB) { load_crosswise_direct( b_base + stage * kBStageBytes, b, n, k, b_ld, tid, k_base, (int64_t)block_n * kBlockN); } else { load_operand_tile( b_base + stage * kBStageBytes, b, n, k, b_ld, tid, k_base, (int64_t)block_n * kBlockN); } }; // smem->smem transpose of one k_seg region (kSegQuads contract quads) of // this tile's staged-crosswise B into its single canonical buffer. auto transpose_tile = [&](int tile, int seg) { if constexpr (!kBStagePath) return; constexpr int kSegQuads = kK / 4 / (kK / kMmaK); // quads per k_seg constexpr int kBRegion = kSegQuads * (kBlockN / 16); const T8* b_stg = b_base + (tile % kStB) * kBStageBytes; for (int idx = tid; idx < kBRegion; idx += kCtaThreads) transpose_crosswise_region(b_canon, b_stg, idx, seg * kSegQuads); }; 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, 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(); // Staged-crosswise B: produce the canonical tile one k_seg region at // a time so each region's transpose overlaps the previous region's // MMA sequence (the transposes are pure shared-memory traffic — B's // global path stayed fully asynchronous above). constexpr int kSegs = kK / kMmaK; if constexpr (kBStagePath) { transpose_tile(tile_index, 0); // Barrier 2: region 0 visible to every thread before its // fragment loads. (Compiled out for congruous/direct layouts.) __syncthreads(); } const T8* a_tile = a_base + (size_t)stage * kAStageBytes; const T8* b_tile = kBStagePath ? b_canon : b_base + (size_t)stage * kBStageBytes; // 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). // B fragments double-buffer across k_segs while B is congruous (no // region writes in flight); a crosswise B reloads per k_seg after // the region's transpose became visible. unsigned b_frag[2][4][2]; if constexpr (!kBStagePath) { #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_tile, row, rh8)); } } #pragma unroll for (int k_seg = 0; k_seg < kSegs; ++k_seg) { const int bcur = k_seg & 1, bnext = bcur ^ 1; if constexpr (kBStagePath) { #pragma unroll for (int nt = 0; nt < 4; ++nt) { const int row = b_row0 + nt * 8 + r7; astrai::ldmatrix_x2_lane( b_frag[bcur][nt], frag_addr(b_tile, row, k_seg * 2 + rh8)); } } else 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_tile, row, (k_seg + 1) * 2 + rh8)); } } // Region k_seg+1's transpose overlaps this region's MMA work // (disjoint canonical regions, no race). if constexpr (kBStagePath) { if (k_seg + 1 < kSegs) transpose_tile(tile_index, k_seg + 1); } // 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_tile, 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_tile, 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 3: region k_seg+1's transposes complete and become // visible before the next k_seg reads them. if constexpr (kBStagePath) { if (k_seg + 1 < kSegs) __syncthreads(); } } // Barrier 4: every thread finished reading this stage's tiles before // the prefetch for the (i+kStages)-th tile overwrites them (and the // next iteration's transposes rewrite the canonical buffer). __syncthreads(); if (tile_index + kStages < tile_count) { load_tile(tile_index + kStages, stage, (tile_index + kStages) * kK); astrai::cp_async_commit_group(); } } const float output_scale = sa * sb; // Fused bias: BF16 raw values, or FP8 storage dequantized by its own // scale (bias_scale != null selects the FP8 path; the format follows the // kernel's Traits). Added in real units after the operand dequantization // and before any output quantization. const auto* bias16 = static_cast(p.bias); const auto* bias8 = static_cast(p.bias); auto bias_val = [&](int64_t col) -> float { if (p.bias == nullptr || col >= n) return 0.0f; if (p.bias_scale == nullptr) return __bfloat162float(bias16[col]); return __half2float(__half(bias8[col])) * *p.bias_scale; }; #pragma unroll for (int nt = 0; nt < 4; ++nt) { const int64_t col = output_col + nt * 8; const float b0 = bias_val(col); const float b1 = bias_val(col + 1); // 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; const float r0 = v0 * output_scale + b0; const float r1 = v1 * output_scale + b1; if constexpr (OutFp8) { if (col + 1 < n) { *reinterpret_cast(out_fp8 + row * n + col) = static_cast(__nv_cvt_float2_to_fp8x2( make_float2(r0 * *p.out_scale, r1 * *p.out_scale), __NV_SATFINITE, __NV_E4M3)); } else { out_fp8[row * n + col] = __nv_fp8_e4m3(r0 * *p.out_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(r0, r1); } else { dst[0] = __float2bfloat16(r0); if (col + 1 < n) dst[1] = __float2bfloat16(r1); } } }; #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 FP8QuantizeParams& 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); } // Launch one kernel instantiation with its shared-memory budget: stages live // in dynamic smem, so budgets beyond the 48KB static limit opt in once per // instantiation via cudaFuncSetAttribute (see AGENTS.md "dynamic shared // memory"). Templated on the kernel *value* (auto NTTP) so every // instantiation owns its own armed flag — same-signature kernels must not // share it (the attribute is per-function). template void launch_with_smem(int smem_bytes, dim3 grid, dim3 block, cudaStream_t stream, Args... args) { if (smem_bytes > 48 * 1024) { static bool armed = false; // per instantiation if (!armed) { cudaFuncSetAttribute(Kernel, cudaFuncAttributeMaxDynamicSharedMemorySize, smem_bytes); armed = true; } } Kernel<<>>(args...); } // Pre-quantized GEMM tile config: 128x128 CTA (8 warps x 64x32 warp tiles). // kK selects the K tile (32 / 64 / 128; larger kK halves the __syncthreads // count per K and doubles the MMA work per stage at more smem per stage). // Stages is the cp.async pipeline depth (smem = Stages * (BM + BN) * kK // bytes for congruous layouts; deep pipelines are dynamic-smem backed, 1 // CTA/SM past 48KB). GroupRaster defaults to the historically-measured best // per LayoutA (grouped for A-crosswise, plain for A-congruous). m <= 64 // dispatches to the 64x128 CTA — a 128-row CTA would waste half its MMA work // on predicated-off rows. // Crosswise B takes the asynchronous staging+transpose pipeline only when // the contract dim is long enough that B streams from DRAM (dX-class GEMMs, // k = N_ffn); short-K crosswise GEMMs (dW: k = M tokens) read L2-resident // operands, where the staging round trip costs more shared-memory traffic // than the latency it hides (measured: dW ~37 TF direct vs ~29 TF staged, // dX ~39 TF staged vs ~38 direct). constexpr int64_t kCrossStageMinK = 8192; template || std::is_same_v> void launch_fp8_gemm(const FP8Params& p, cudaStream_t stream) { dim3 grid((p.n + 127) / 128, (p.m + 127) / 128); const bool b_staged = p.k >= kCrossStageMinK; if (p.m <= 64) { using Traits = Fp8GemmTraits; if (b_staged) launch_with_smem>( Fp8GemmSmem::kBytes, grid, dim3(Traits::kCtaThreads), stream, p); else launch_with_smem>( Fp8GemmSmem::kBytes, grid, dim3(Traits::kCtaThreads), stream, p); } else { using Traits = Fp8GemmTraits; if (b_staged) launch_with_smem>( Fp8GemmSmem::kBytes, grid, dim3(Traits::kCtaThreads), stream, p); else launch_with_smem>( Fp8GemmSmem::kBytes, grid, dim3(Traits::kCtaThreads), stream, p); } } } // namespace fp8 } // namespace astrai