diagnostic(off, subgroup_uniformity); enable f16; enable subgroups; #define BYTE_HELPERS #include "common_decls.tmpl" #ifdef K_F32 #define K_TYPE f32 #elif defined(K_Q4_0) || defined(K_Q8_0) #define K_TYPE u32 #else #define K_TYPE f16 #endif #ifdef V_F32 #define V_TYPE f32 #elif defined(V_Q4_0) || defined(V_Q8_0) #define V_TYPE u32 #else #define V_TYPE f16 #endif #ifdef Q_F16 #define Q_TYPE f16 #else #define Q_TYPE f32 #endif #ifdef DST_F16 #define DST_TYPE f16 #else #define DST_TYPE f32 #endif #define HEAD_DIM_QK 64 #define HEAD_DIM_V 64 #define KV_GRANULARITY 8 #define KV_TILE 16 #define WG_SIZE 64 #ifndef VEC_NE #define VEC_NE 4u #endif #define KV_BLOCKS (KV_TILE / KV_GRANULARITY) struct Params { offset_q: u32, offset_k: u32, offset_v: u32, offset_mask: u32, offset_sinks: u32, offset_dst: u32, // shapes of Q/K/V n_heads: u32, seq_len_q: u32, seq_len_kv: u32, // strides (in elements) stride_q1: u32, stride_q2: u32, stride_q3: u32, stride_k1: u32, stride_k2: u32, stride_k3: u32, stride_v1: u32, stride_v2: u32, stride_v3: u32, stride_mask3: u32, // repeat factors for K/V, e.g., MHA vs. MQA vs. GQA q_per_kv: u32, // softmax params scale: f32, max_bias: f32, logit_softcap: f32, n_head_log2: f32, m0: f32, m1: f32, #ifdef BLK blk_base: u32, blk_nblk0: u32, blk_nblk1: u32, #endif tmp_data_base: u32, tmp_stats_base: u32, nwg: u32, }; @group(0) @binding(0) var Q: array; #ifdef KV_OVERLAP #if defined(K_Q4_0) || defined(K_Q8_0) @group(0) @binding(1) var K: array; #else @group(0) @binding(1) var K: array>; #endif #define V K #else #if defined(K_Q4_0) || defined(K_Q8_0) @group(0) @binding(1) var K: array; #else @group(0) @binding(1) var K: array>; #endif #if defined(V_Q4_0) || defined(V_Q8_0) @group(0) @binding(2) var V: array; #else @group(0) @binding(2) var V: array>; #endif #endif #if defined(MASK) && defined(SINKS) #ifdef KV_OVERLAP @group(0) @binding(2) var mask: array; @group(0) @binding(3) var sinks: array; #ifdef BLK #define BLK_BINDING 4 #define TMP_BINDING 5 #define DST_BINDING 6 #define PARAMS_BINDING 7 #else #define TMP_BINDING 4 #define DST_BINDING 5 #define PARAMS_BINDING 6 #endif #else @group(0) @binding(3) var mask: array; @group(0) @binding(4) var sinks: array; #ifdef BLK #define BLK_BINDING 5 #define TMP_BINDING 6 #define DST_BINDING 7 #define PARAMS_BINDING 8 #else #define TMP_BINDING 5 #define DST_BINDING 6 #define PARAMS_BINDING 7 #endif #endif #elif defined(MASK) #ifdef KV_OVERLAP @group(0) @binding(2) var mask: array; #ifdef BLK #define BLK_BINDING 3 #define TMP_BINDING 4 #define DST_BINDING 5 #define PARAMS_BINDING 6 #else #define TMP_BINDING 3 #define DST_BINDING 4 #define PARAMS_BINDING 5 #endif #else @group(0) @binding(3) var mask: array; #ifdef BLK #define BLK_BINDING 4 #define TMP_BINDING 5 #define DST_BINDING 6 #define PARAMS_BINDING 7 #else #define TMP_BINDING 4 #define DST_BINDING 5 #define PARAMS_BINDING 6 #endif #endif #elif defined(SINKS) #ifdef KV_OVERLAP @group(0) @binding(2) var sinks: array; #define TMP_BINDING 3 #define DST_BINDING 4 #define PARAMS_BINDING 5 #else @group(0) @binding(3) var sinks: array; #define TMP_BINDING 4 #define DST_BINDING 5 #define PARAMS_BINDING 6 #endif #else #ifdef KV_OVERLAP #define TMP_BINDING 2 #define DST_BINDING 3 #define PARAMS_BINDING 4 #else #define TMP_BINDING 3 #define DST_BINDING 4 #define PARAMS_BINDING 5 #endif #endif #ifdef BLK @group(0) @binding(BLK_BINDING) var blk: array; #endif @group(0) @binding(TMP_BINDING) var tmp: array; @group(0) @binding(DST_BINDING) var dst: array>; @group(0) @binding(PARAMS_BINDING) var params: Params; // Just a very small float value. const FLOAT_MIN: f32 = -1.0e9; var q_shmem: array; #ifndef KV_DIRECT const kv_shmem_size = KV_TILE * max(HEAD_DIM_QK, HEAD_DIM_V); // we can reuse the same shmem for K and V since we only need one at a time var kv_shmem: array; #endif var o_shmem: array; #ifdef MASK // storage for mask values var mask_shmem: array; #endif // note that we reuse the same storage for both since we only need one at a time var inter_shmem: array; // Storage for row max and exp sum during online softmax fn calc_softmax_term(kv_idx: u32, slope: f32, has_bias: bool, apply_mask: bool) -> f32 { var v = select(FLOAT_MIN, inter_shmem[kv_idx] * params.scale, kv_idx < KV_TILE); #ifdef LOGIT_SOFTCAP v = params.logit_softcap * tanh(v); #endif #ifdef MASK if (apply_mask) { var mask_val = select(0.0, mask_shmem[kv_idx], kv_idx < KV_TILE); v += select(mask_val, slope * mask_val, has_bias); } #endif return v; } #ifndef KV_DIRECT #define QUANT_SHMEM kv_shmem #define QUANT_OUT_TYPE f32 #include "quant_inner_loops.tmpl" #include "flash_attn_quant_staging.tmpl" #if !defined(K_Q4_0) && !defined(K_Q8_0) fn load_k_tile_block(local_x: u32, kv_count: u32, kv_tile: u32, k_head_offset: u32) { for (var elem_idx = local_x * 4u; elem_idx < KV_TILE * HEAD_DIM_QK; elem_idx += WG_SIZE * 4u) { let k_row = elem_idx / HEAD_DIM_QK; let k_col = elem_idx % HEAD_DIM_QK; let global_k_row = kv_tile + k_row; let global_k_row_offset = k_head_offset + global_k_row * params.stride_k1; let in_bounds = global_k_row < params.seq_len_kv && (k_col + 3u) < HEAD_DIM_QK; let vec_idx = (global_k_row_offset + k_col) >> 2u; let k4 = select(vec4(0.0), K[vec_idx], in_bounds); kv_shmem[elem_idx + 0u] = f32(k4.x); kv_shmem[elem_idx + 1u] = f32(k4.y); kv_shmem[elem_idx + 2u] = f32(k4.z); kv_shmem[elem_idx + 3u] = f32(k4.w); } } #endif #if !defined(V_Q4_0) && !defined(V_Q8_0) fn load_v_tile_block(local_x: u32, kv_count: u32, kv_tile: u32, v_head_offset: u32) { for (var elem_idx = local_x * 4u; elem_idx < KV_TILE * HEAD_DIM_V; elem_idx += WG_SIZE * 4u) { let v_row = elem_idx / HEAD_DIM_V; let v_col = elem_idx % HEAD_DIM_V; let global_v_row = kv_tile + v_row; let global_v_row_offset = v_head_offset + global_v_row * params.stride_v1; let in_bounds = global_v_row < params.seq_len_kv && (v_col + 3u) < HEAD_DIM_V; let vec_idx = (global_v_row_offset + v_col) >> 2u; let v4 = select(vec4(0.0), V[vec_idx], in_bounds); kv_shmem[elem_idx + 0u] = f32(v4.x); kv_shmem[elem_idx + 1u] = f32(v4.y); kv_shmem[elem_idx + 2u] = f32(v4.z); kv_shmem[elem_idx + 3u] = f32(v4.w); } } #endif #endif @compute @workgroup_size(WG_SIZE) fn main(@builtin(workgroup_id) wg_id: vec3, @builtin(local_invocation_id) local_id: vec3, @builtin(subgroup_id) subgroup_id: u32, @builtin(subgroup_size) subgroup_size: u32, @builtin(num_subgroups) num_subgroups: u32, @builtin(subgroup_invocation_id) sg_inv_id: u32) { // Vec path processes exactly one query row per workgroup, so subgroup 0 can // keep the running softmax state in private storage. var row_max = FLOAT_MIN; var exp_sum = 0.0; for (var i = local_id.x; i < HEAD_DIM_V; i += WG_SIZE) { o_shmem[i] = 0.0; } // workgroups per head/batch let wg_per_head = params.seq_len_q; let wg_per_batch = wg_per_head * params.n_heads; let dst2_stride = HEAD_DIM_V * params.n_heads; let dst3_stride = dst2_stride * params.seq_len_q; let iwg = wg_id.x % params.nwg; let base_wg_id = wg_id.x / params.nwg; // batch index let batch_idx = base_wg_id / wg_per_batch; let q_batch_offset = params.offset_q + batch_idx * params.stride_q3; let k_batch_offset = params.offset_k + batch_idx * params.stride_k3; let v_batch_offset = params.offset_v + batch_idx * params.stride_v3; let wg_in_batch = base_wg_id % wg_per_batch; // head index let head_idx = wg_in_batch / wg_per_head; let q_head_offset = q_batch_offset + head_idx * params.stride_q2; let k_head_idx = head_idx / params.q_per_kv; let v_head_idx = k_head_idx; let k_head_offset = k_batch_offset + k_head_idx * params.stride_k2; let v_head_offset = v_batch_offset + v_head_idx * params.stride_v2; // Vec path handles one Q row per workgroup. let wg_in_head = wg_in_batch % wg_per_head; let q_row_start = wg_in_head; #ifdef MASK // mask offset let mask_global_offset = params.offset_mask + batch_idx * params.stride_mask3 + q_row_start * params.seq_len_kv; #endif let head = f32(head_idx); let has_bias = params.max_bias > 0.0; let slope = select(1.0, select(pow(params.m1, 2.0 * (head - params.n_head_log2) + 1.0), pow(params.m0, head + 1.0), head < params.n_head_log2), has_bias); // load the single Q row into shared memory for (var elem_idx = local_id.x; elem_idx < HEAD_DIM_QK; elem_idx += WG_SIZE) { let global_q_row_offset = q_head_offset + q_row_start * params.stride_q1; q_shmem[elem_idx] = select( 0.0, f32(Q[global_q_row_offset + elem_idx]), q_row_start < params.seq_len_q); } for (var kv_tile = iwg * KV_TILE; kv_tile < params.seq_len_kv; kv_tile += KV_TILE * params.nwg) { let kv_count = min(KV_TILE, params.seq_len_kv - kv_tile); #ifdef BLK let q_blk = q_row_start; let kv_blk = kv_tile / KV_TILE; let blk_batch = select(0u, batch_idx, params.stride_mask3 > 0u); let blk_idx = params.blk_base + (blk_batch * params.blk_nblk1 + q_blk) * params.blk_nblk0 + kv_blk; let blk_state_local = blk[blk_idx]; #else let blk_state_local = 1u; #endif let blk_state = blk_state_local; let skip_tile = blk_state == 0u; for (var elem_idx = local_id.x; elem_idx < KV_TILE; elem_idx += WG_SIZE) { inter_shmem[elem_idx] = 0.0; } // load k tile into shared memory #ifndef KV_DIRECT load_k_tile_block(local_id.x, kv_count, kv_tile, k_head_offset); #endif workgroupBarrier(); // accumulate q block * k block into registers across the entire KV tile if (!skip_tile) { let num_of_threads = subgroup_size / VEC_NE; let tx = sg_inv_id % num_of_threads; let ty = sg_inv_id / num_of_threads; if (subgroup_id == 0u && q_row_start < params.seq_len_q) { for (var kv_base : u32 = 0u; kv_base < KV_TILE; kv_base += VEC_NE) { let kv_idx = kv_base + ty; var partial_sum: f32 = 0.0; let kv_valid = kv_idx < KV_TILE && (kv_tile + kv_idx) < params.seq_len_kv; if (kv_valid) { for (var i = tx; i < (HEAD_DIM_QK / 4u); i += num_of_threads) { let q_off = i * 4u; let qv = vec4( q_shmem[q_off + 0u], q_shmem[q_off + 1u], q_shmem[q_off + 2u], q_shmem[q_off + 3u]); #ifdef KV_DIRECT let idx = k_head_offset + (kv_tile + kv_idx) * params.stride_k1 + (i * 4u); let kv = vec4(K[idx >> 2u]); #else let idx = kv_idx * HEAD_DIM_QK + (i * 4u); let kv = vec4( kv_shmem[idx + 0u], kv_shmem[idx + 1u], kv_shmem[idx + 2u], kv_shmem[idx + 3u]); #endif partial_sum += dot(qv, kv); } } var sum = partial_sum; // Reduce over tx threads (NL) for this ty stripe. var tx_delta = num_of_threads >> 1u; loop { if (tx_delta == 0u) { break; } let sh = subgroupShuffleDown(sum, tx_delta); if (tx < tx_delta) { sum += sh; } tx_delta >>= 1u; } let sum_bcast = subgroupShuffle(sum, num_of_threads * ty); if (tx == 0u && kv_valid) { inter_shmem[kv_idx] = sum_bcast; } } } } #ifdef MASK let apply_mask = !skip_tile && (blk_state != 2u); if (apply_mask) { // load mask tile into shared memory for this KV block for (var elem_idx = local_id.x; elem_idx < KV_TILE; elem_idx += WG_SIZE) { let global_k_col = kv_tile + elem_idx; let mask_in_bounds = q_row_start < params.seq_len_q && global_k_col < params.seq_len_kv; let mask_idx = mask_global_offset + global_k_col; mask_shmem[elem_idx] = select(0.0f, f32(mask[mask_idx]), mask_in_bounds); } } #else let apply_mask = false; #endif workgroupBarrier(); // online softmax if (!skip_tile && subgroup_id == 0u && q_row_start < params.seq_len_q) { var prev_max = row_max; var final_max = prev_max; // pass 1: compute final max across the full KV tile in chunks for (var kv_offset = 0u; kv_offset < KV_TILE; kv_offset += subgroup_size) { let kv_idx = kv_offset + sg_inv_id; let kv_valid = kv_tile + kv_idx < params.seq_len_kv && kv_idx < KV_TILE; let softmax_term = select(FLOAT_MIN, calc_softmax_term(kv_idx, slope, has_bias, apply_mask), kv_valid); final_max = subgroupMax(max(final_max, softmax_term)); } var total_exp_term: f32 = 0.0; // pass 2: compute exp sum and write P using final_max for (var kv_offset = 0u; kv_offset < KV_TILE; kv_offset += subgroup_size) { let kv_idx = kv_offset + sg_inv_id; let softmax_term = calc_softmax_term(kv_idx, slope, has_bias, apply_mask); let cur_p = select(0.0, exp(softmax_term - final_max), kv_tile + kv_idx < params.seq_len_kv && kv_idx < KV_TILE); total_exp_term += subgroupAdd(cur_p); if (kv_idx < KV_TILE) { inter_shmem[kv_idx] = cur_p; } } let cur_exp = exp(prev_max - final_max); row_max = final_max; exp_sum = exp_sum * cur_exp + total_exp_term; for (var elem_idx = sg_inv_id; elem_idx < HEAD_DIM_V; elem_idx += subgroup_size) { o_shmem[elem_idx] = o_shmem[elem_idx] * cur_exp; } } // load v tile into shared memory #ifndef KV_DIRECT load_v_tile_block(local_id.x, kv_count, kv_tile, v_head_offset); #endif workgroupBarrier(); if (!skip_tile) { // we have P (KV_TILE) in inter_shmem and V (KV_TILE x head_dim_v) in kv_shmem // we want to compute O += P * V across the full KV tile let ne_threads : u32 = VEC_NE; let nl_threads = max(1u, subgroup_size / ne_threads); let tx_pv = sg_inv_id % nl_threads; let ty_pv = sg_inv_id / nl_threads; if (subgroup_id == 0u && q_row_start < params.seq_len_q) { for (var vec_col = tx_pv; vec_col < (HEAD_DIM_V / 4u); vec_col += nl_threads) { var lo = vec4(0.0, 0.0, 0.0, 0.0); for (var cc = 0u; cc < KV_TILE / ne_threads; cc += 1u) { let kv_idx = cc * ne_threads + ty_pv; let v_row = kv_tile + kv_idx; if (v_row >= params.seq_len_kv) { continue; } let p = inter_shmem[kv_idx]; #ifdef KV_DIRECT let v_idx = v_head_offset + v_row * params.stride_v1 + vec_col * 4u; let v4 = vec4(V[v_idx >> 2u]); #else let v_idx = kv_idx * HEAD_DIM_V + vec_col * 4u; let v4 = vec4( kv_shmem[v_idx + 0u], kv_shmem[v_idx + 1u], kv_shmem[v_idx + 2u], kv_shmem[v_idx + 3u]); #endif lo += p * v4; } var lo_x = lo.x; var lo_y = lo.y; var lo_z = lo.z; var lo_w = lo.w; // Reduce over ty threads (NE) for this tx thread. var ty_delta = ne_threads >> 1u; loop { if (ty_delta == 0u) { break; } let thread_delta = ty_delta * nl_threads; let shx = subgroupShuffleDown(lo_x, thread_delta); let shy = subgroupShuffleDown(lo_y, thread_delta); let shz = subgroupShuffleDown(lo_z, thread_delta); let shw = subgroupShuffleDown(lo_w, thread_delta); if (ty_pv < ty_delta) { lo_x += shx; lo_y += shy; lo_z += shz; lo_w += shw; } ty_delta >>= 1u; } if (ty_pv == 0u) { let elem_base = vec_col * 4u; o_shmem[elem_base + 0u] = o_shmem[elem_base + 0u] + lo_x; o_shmem[elem_base + 1u] = o_shmem[elem_base + 1u] + lo_y; o_shmem[elem_base + 2u] = o_shmem[elem_base + 2u] + lo_z; o_shmem[elem_base + 3u] = o_shmem[elem_base + 3u] + lo_w; } } } } workgroupBarrier(); } #ifdef SINKS // Sinks are global terms and must be applied exactly once across split workgroups. if (iwg == 0u && subgroup_id == 0u && q_row_start < params.seq_len_q) { var prev_max = row_max; // for non-sink threads, exp(FLOAT_MIN) effectively zeroes out their contribution to the sum let sink_val = select(FLOAT_MIN, sinks[params.offset_sinks + head_idx], sg_inv_id == 0u); let new_max = subgroupMax(max(prev_max, sink_val)); let max_exp = exp(prev_max - new_max); let sink_exp = exp(sink_val - new_max); let sink_exp_sum = subgroupAdd(sink_exp); row_max = new_max; exp_sum = exp_sum * max_exp + sink_exp_sum; for (var elem_idx = sg_inv_id; elem_idx < HEAD_DIM_V; elem_idx += subgroup_size) { o_shmem[elem_idx] = o_shmem[elem_idx] * max_exp; } } workgroupBarrier(); #endif let rows_per_batch = params.n_heads * params.seq_len_q; if (subgroup_id == 0u && q_row_start < params.seq_len_q) { if (params.nwg == 1u) { let scale = select(0.0, 1.0 / exp_sum, exp_sum != 0.0); let row_base: u32 = params.offset_dst + batch_idx * dst3_stride + q_row_start * dst2_stride + head_idx * HEAD_DIM_V; for (var elem_base = sg_inv_id * 4u; elem_base < HEAD_DIM_V; elem_base += subgroup_size * 4u) { let v = vec4( f32(o_shmem[elem_base + 0u]) * scale, f32(o_shmem[elem_base + 1u]) * scale, f32(o_shmem[elem_base + 2u]) * scale, f32(o_shmem[elem_base + 3u]) * scale ); let dst_vec_index: u32 = (row_base + elem_base) >> 2u; dst[dst_vec_index] = vec4(v); } } else { let rid = batch_idx * rows_per_batch + head_idx * params.seq_len_q + q_row_start; let tmp_row_data_base = params.tmp_data_base + rid * (HEAD_DIM_V * params.nwg) + iwg * HEAD_DIM_V; let tmp_row_stats_base = params.tmp_stats_base + rid * (2u * params.nwg) + 2u * iwg; for (var elem_base = sg_inv_id * 4u; elem_base < HEAD_DIM_V; elem_base += subgroup_size * 4u) { let tbase = tmp_row_data_base + elem_base; tmp[tbase + 0u] = f32(o_shmem[elem_base + 0u]); tmp[tbase + 1u] = f32(o_shmem[elem_base + 1u]); tmp[tbase + 2u] = f32(o_shmem[elem_base + 2u]); tmp[tbase + 3u] = f32(o_shmem[elem_base + 3u]); } if (sg_inv_id == 0u) { tmp[tmp_row_stats_base + 0u] = exp_sum; tmp[tmp_row_stats_base + 1u] = row_max; } } } }