#pragma once #include "gqa_common.cuh" // Tensor-core prefill, register-resident flash attention (raw mma.sync PTX). // One warp owns BR=16 query rows. S = Q@K^T and O = P@V run on bf16 tensor // cores via mma.sync.m16n8k16 (f32 accumulate). Q stays resident in registers; // S, O, and the online-softmax stats (m, l) live in registers too — nothing is // staged through shared memory except the cooperatively-loaded K/V tiles. The // mma fragment layout is used directly: the S accumulator (f32) maps element- // for-element onto the P matrix_a (bf16) operand, so softmax needs no shuffle // repack; row reductions fold across the 4-lane thread group. Templated on // with BC a multiple of 16. // mma.sync.aligned.m16n8k16.row.col.f32.bf16.bf16.f32 // (only compiled when ASTRAI_HAS_MMA is set, i.e. built for sm_80+) __device__ __forceinline__ void mma16816(float* d, const unsigned* a, const unsigned* b, const float* c) { asm volatile( "mma.sync.aligned.m16n8k16.row.col.f32.bf16.bf16.f32 " "{%0,%1,%2,%3}, {%4,%5,%6,%7}, {%8,%9}, {%10,%11,%12,%13};" : "=f"(d[0]), "=f"(d[1]), "=f"(d[2]), "=f"(d[3]) : "r"(a[0]), "r"(a[1]), "r"(a[2]), "r"(a[3]), "r"(b[0]), "r"(b[1]), "f"(c[0]), "f"(c[1]), "f"(c[2]), "f"(c[3])); } // read two adjacent bf16 from smem as one packed .b32 (elem0 low, elem1 high) __device__ __forceinline__ unsigned ld2(const bf16* p) { return *reinterpret_cast(p); } __device__ __forceinline__ unsigned pk2(float a, float b) { __nv_bfloat162 v = __floats2bfloat162_rn(a, b); return *reinterpret_cast(&v); } // pack two (non-contiguous) bf16 into one .b32 __device__ __forceinline__ unsigned pkb(bf16 a, bf16 b) { __nv_bfloat162 v; v.x = a; v.y = b; return *reinterpret_cast(&v); } template __global__ void gqa_prefill_attn_mma_kernel(GQAParams p) { constexpr int BR = 16; constexpr int KD = HEAD_DIM / 16; // Q/K k-tiles constexpr int NC8 = BC / 8; // S n-tiles (N=8 each) constexpr int KT2 = BC / 16; // P k-tiles (K=16 each) constexpr int DN8 = HEAD_DIM / 8; // O n-tiles (N=8 each) const int warp = threadIdx.x / 32; const int lane = threadIdx.x % 32; const int gid = lane >> 2; // 0..7 → rows gid, gid+8 const int tid4 = lane & 3; // 0..3 const int nthreads = WARPS * 32; const int q_head = blockIdx.y; const int batch = blockIdx.z; const int kv_head = q_head / (p.q_head / p.kv_head); const int qrow0 = (blockIdx.x * WARPS + warp) * BR; extern __shared__ __align__(16) bf16 smem[]; bf16* sK = smem; // [BC][HEAD_DIM] bf16* sV = sK + BC * HEAD_DIM; // [BC][HEAD_DIM] bf16* sQ = sV + BC * HEAD_DIM + warp * (BR * HEAD_DIM); // per-warp [BR][HEAD_DIM] // stage Q into smem (zero-padded past q_len) const int q_base = ((batch * p.q_head + q_head) * p.q_len) * HEAD_DIM; for (int i = lane; i < BR * HEAD_DIM; i += 32) { int r = i / HEAD_DIM, d = i % HEAD_DIM; int qr = qrow0 + r; sQ[i] = (qr < p.q_len) ? p.q[q_base + qr * HEAD_DIM + d] : __float2bfloat16(0.0f); } __syncwarp(); // Q resident A-fragments: Qa[kt][0..3] unsigned Qa[KD][4]; #pragma unroll for (int kt = 0; kt < KD; kt++) { int c0 = kt * 16 + 2 * tid4; Qa[kt][0] = ld2(&sQ[gid * HEAD_DIM + c0]); Qa[kt][1] = ld2(&sQ[(gid + 8) * HEAD_DIM + c0]); Qa[kt][2] = ld2(&sQ[gid * HEAD_DIM + c0 + 8]); Qa[kt][3] = ld2(&sQ[(gid + 8) * HEAD_DIM + c0 + 8]); } float Oacc[DN8][4]; #pragma unroll for (int j = 0; j < DN8; j++) Oacc[j][0] = Oacc[j][1] = Oacc[j][2] = Oacc[j][3] = 0.0f; float m0 = -FLT_MAX, m1 = -FLT_MAX, l0 = 0.0f, l1 = 0.0f; const int kv_base = ((batch * p.kv_head + kv_head) * p.kv_len) * HEAD_DIM; const int tiles = (p.kv_len + BC - 1) / BC; const int qr0 = qrow0 + gid; // row for c0/c1 const int qr1 = qrow0 + gid + 8; // row for c2/c3 for (int ti = 0; ti < tiles; ti++) { int kv0 = ti * BC; for (int i = threadIdx.x; i < BC * HEAD_DIM; i += nthreads) { int r = i / HEAD_DIM, d = i % HEAD_DIM; int kc = kv0 + r; bf16 z = __float2bfloat16(0.0f); sK[i] = (kc < p.kv_len) ? p.k[kv_base + kc * HEAD_DIM + d] : z; sV[i] = (kc < p.kv_len) ? p.v[kv_base + kc * HEAD_DIM + d] : z; } __syncthreads(); // S = Q @ K^T → Sacc[n8][0..3] (n8: 8 kv cols each) float Sacc[NC8][4]; #pragma unroll for (int n8 = 0; n8 < NC8; n8++) { Sacc[n8][0] = Sacc[n8][1] = Sacc[n8][2] = Sacc[n8][3] = 0.0f; int kv = kv0 + n8 * 8 + gid; #pragma unroll for (int kt = 0; kt < KD; kt++) { unsigned b[2]; int kr = kt * 16 + 2 * tid4; b[0] = ld2(&sK[(n8 * 8 + gid) * HEAD_DIM + kr]); b[1] = ld2(&sK[(n8 * 8 + gid) * HEAD_DIM + kr + 8]); mma16816(Sacc[n8], Qa[kt], b, Sacc[n8]); } (void)kv; } // ---- online softmax (in registers) ---- // scale + mask, then per-row (gid, gid+8) max over held cols float rmax0 = -FLT_MAX, rmax1 = -FLT_MAX; #pragma unroll for (int n8 = 0; n8 < NC8; n8++) { int cc = kv0 + n8 * 8 + 2 * tid4; // col for c0/c2 bool bc0 = (cc >= p.kv_len) || (p.use_mask && p.mask && !p.mask[batch * p.kv_len + cc]); bool bc1 = (cc + 1 >= p.kv_len) || (p.use_mask && p.mask && !p.mask[batch * p.kv_len + cc + 1]); bool cz = p.is_causal; int off = p.causal_offset; bool bad0 = bc0 || (cz && cc > qr0 + off); bool bad1 = bc1 || (cz && (cc + 1) > qr0 + off); bool bad2 = bc0 || (cz && cc > qr1 + off); bool bad3 = bc1 || (cz && (cc + 1) > qr1 + off); float s0 = bad0 ? -FLT_MAX : Sacc[n8][0] * p.scale; float s1 = bad1 ? -FLT_MAX : Sacc[n8][1] * p.scale; float s2 = bad2 ? -FLT_MAX : Sacc[n8][2] * p.scale; float s3 = bad3 ? -FLT_MAX : Sacc[n8][3] * p.scale; Sacc[n8][0] = s0; Sacc[n8][1] = s1; Sacc[n8][2] = s2; Sacc[n8][3] = s3; rmax0 = fmaxf(rmax0, fmaxf(s0, s1)); rmax1 = fmaxf(rmax1, fmaxf(s2, s3)); } // reduce max across the 4-lane group (tid4) rmax0 = fmaxf(rmax0, __shfl_xor_sync(0xFFFFFFFF, rmax0, 1)); rmax0 = fmaxf(rmax0, __shfl_xor_sync(0xFFFFFFFF, rmax0, 2)); rmax1 = fmaxf(rmax1, __shfl_xor_sync(0xFFFFFFFF, rmax1, 1)); rmax1 = fmaxf(rmax1, __shfl_xor_sync(0xFFFFFFFF, rmax1, 2)); float nm0 = fmaxf(m0, rmax0), nm1 = fmaxf(m1, rmax1); float corr0 = (nm0 == -FLT_MAX) ? 1.0f : __expf(m0 - nm0); float corr1 = (nm1 == -FLT_MAX) ? 1.0f : __expf(m1 - nm1); float rsum0 = 0.0f, rsum1 = 0.0f; #pragma unroll for (int n8 = 0; n8 < NC8; n8++) { float p0 = (Sacc[n8][0] == -FLT_MAX) ? 0.0f : __expf(Sacc[n8][0] - nm0); float p1 = (Sacc[n8][1] == -FLT_MAX) ? 0.0f : __expf(Sacc[n8][1] - nm0); float p2 = (Sacc[n8][2] == -FLT_MAX) ? 0.0f : __expf(Sacc[n8][2] - nm1); float p3 = (Sacc[n8][3] == -FLT_MAX) ? 0.0f : __expf(Sacc[n8][3] - nm1); Sacc[n8][0] = p0; Sacc[n8][1] = p1; Sacc[n8][2] = p2; Sacc[n8][3] = p3; rsum0 += p0 + p1; rsum1 += p2 + p3; } rsum0 += __shfl_xor_sync(0xFFFFFFFF, rsum0, 1); rsum0 += __shfl_xor_sync(0xFFFFFFFF, rsum0, 2); rsum1 += __shfl_xor_sync(0xFFFFFFFF, rsum1, 1); rsum1 += __shfl_xor_sync(0xFFFFFFFF, rsum1, 2); l0 = l0 * corr0 + rsum0; l1 = l1 * corr1 + rsum1; m0 = nm0; m1 = nm1; // rescale O accumulator by per-row correction #pragma unroll for (int j = 0; j < DN8; j++) { Oacc[j][0] *= corr0; Oacc[j][1] *= corr0; Oacc[j][2] *= corr1; Oacc[j][3] *= corr1; } // O += P @ V #pragma unroll for (int kt2 = 0; kt2 < KT2; kt2++) { unsigned Pa[4]; Pa[0] = pk2(Sacc[kt2 * 2][0], Sacc[kt2 * 2][1]); Pa[1] = pk2(Sacc[kt2 * 2][2], Sacc[kt2 * 2][3]); Pa[2] = pk2(Sacc[kt2 * 2 + 1][0], Sacc[kt2 * 2 + 1][1]); Pa[3] = pk2(Sacc[kt2 * 2 + 1][2], Sacc[kt2 * 2 + 1][3]); #pragma unroll for (int dn8 = 0; dn8 < DN8; dn8++) { unsigned b[2]; int kr = kt2 * 16 + 2 * tid4; int d = dn8 * 8 + gid; b[0] = pkb(sV[kr * HEAD_DIM + d], sV[(kr + 1) * HEAD_DIM + d]); b[1] = pkb(sV[(kr + 8) * HEAD_DIM + d], sV[(kr + 9) * HEAD_DIM + d]); mma16816(Oacc[dn8], Pa, b, Oacc[dn8]); } } __syncthreads(); // sK/sV reused next tile } // ---- write output ---- float rl0 = (l0 > 1e-20f) ? (1.0f / l0) : 0.0f; float rl1 = (l1 > 1e-20f) ? (1.0f / l1) : 0.0f; const int o_base = ((batch * p.q_head + q_head) * p.q_len) * HEAD_DIM; #pragma unroll for (int dn8 = 0; dn8 < DN8; dn8++) { int d = dn8 * 8 + 2 * tid4; if (qr0 < p.q_len) { p.o[o_base + qr0 * HEAD_DIM + d] = __float2bfloat16(Oacc[dn8][0] * rl0); p.o[o_base + qr0 * HEAD_DIM + d + 1] = __float2bfloat16(Oacc[dn8][1] * rl0); } if (qr1 < p.q_len) { p.o[o_base + qr1 * HEAD_DIM + d] = __float2bfloat16(Oacc[dn8][2] * rl1); p.o[o_base + qr1 * HEAD_DIM + d + 1] = __float2bfloat16(Oacc[dn8][3] * rl1); } } }