|
| 1 | +# Batch matrix multiplication example - Julia port of cuTile Python's AttentionFMHA.py sample |
| 2 | +# |
| 3 | +# SPDX-License-Identifier: Apache-2.0 |
| 4 | + |
| 5 | +using CUDA |
| 6 | +import cuTile as ct |
| 7 | + |
| 8 | +import NNlib |
| 9 | + |
| 10 | +const INV_LOG_2 = Float32(1 / log(2)) |
| 11 | +const ConstInt = ct.Constant{Int} |
| 12 | +const ConstBool = ct.Constant{Bool} |
| 13 | + |
| 14 | +# TODO: "latency" |
| 15 | + |
| 16 | +# cuTile kernel for Fused Multi-Head Attention |
| 17 | +# Q: d x |
| 18 | +function fmha_kernel( |
| 19 | + Q::ct.TileArray{T,4}, K::ct.TileArray{T,4}, V::ct.TileArray{T,4}, Out::ct.TileArray{T,4}, |
| 20 | + qk_scale::AbstractFloat, |
| 21 | + input_pos::Integer, |
| 22 | + TILE_D::ConstInt, |
| 23 | + H::ConstInt, # number of heads? |
| 24 | + TILE_M::ConstInt, |
| 25 | + TILE_N::ConstInt, |
| 26 | + QUERY_GROUP_SIZE::ConstInt, |
| 27 | + CAUSAL::ConstBool, |
| 28 | + EVEN_K::ConstBool |
| 29 | +) where T |
| 30 | + bid_x = ct.bid(1) |
| 31 | + bid_y = ct.bid(2) |
| 32 | + batch_idx = cld(bid_y, H[]) |
| 33 | + head_idx = mod1(bid_y, H[]) |
| 34 | + off_kv_h = cld(head_idx, QUERY_GROUP_SIZE[]) |
| 35 | + |
| 36 | + qk_scale = Float32(qk_scale) * Float32(INV_LOG_2) |
| 37 | + |
| 38 | + # Offsets for query tile (M-dimension) |
| 39 | + offs_m = bid_x * TILE_M[] .+ ct.arange((TILE_M[],), Int32) .+ input_pos |
| 40 | + |
| 41 | + # local offsets for key/value tile (N-dimension) |
| 42 | + offs_n_tile = ct.reshape(ct.arange((TILE_N[],), Int32), (1, TILE_N[])) |
| 43 | + |
| 44 | + # online softmax accumulators in Float32 for stability |
| 45 | + m_i = ct.full((1, TILE_M[]), -Inf32, Float32) |
| 46 | + l_i = ct.zeros((1, TILE_M[]), Float32) |
| 47 | + acc = ct.zeros((TILE_D[], TILE_M[]), Float32) |
| 48 | + |
| 49 | + # query tile for this batch, head, and M-chunk |
| 50 | + q = ct.load(Q, (1, bid_x, head_idx, batch_idx), (TILE_D[], TILE_M[], 1, 1)) |
| 51 | + q = ct.reshape(q, (TILE_D[], TILE_M[])) |
| 52 | + |
| 53 | + m_end = input_pos + (bid_x + 1) * TILE_M[] |
| 54 | + k_seqlen = K.sizes[2] |
| 55 | + if CAUSAL[] |
| 56 | + # when kv pos could exceed q pos |
| 57 | + mask_start = cld(input_pos + bid_x * TILE_M[], TILE_N[]) |
| 58 | + # when kv pos could exceed k_seqlen |
| 59 | + mask_start = min(mask_start, cld(k_seqlen, TILE_N[])) |
| 60 | + Tc = cld(min(m_end, k_seqlen), TILE_N[]) |
| 61 | + else |
| 62 | + Tc = cld(k_seqlen, TILE_N[]) |
| 63 | + mask_start = cld(k_seqlen, TILE_N[]) |
| 64 | + end |
| 65 | + |
| 66 | + # loop over K, V blocks (N-dimension chunks) |
| 67 | + j = Int32(1) |
| 68 | + while j <= Tc |
| 69 | + k = ct.load(K, (1, j, off_kv_h, batch_idx), (TILE_D[], TILE_N[], 1, 1)) |
| 70 | + k = ct.reshape(k, (TILE_D[], TILE_N[])) |
| 71 | + k = ct.transpose(k) |
| 72 | + |
| 73 | + qk = ct.zeros((TILE_N[], TILE_M[]), Float32) |
| 74 | + qk = ct.muladd(k, q, qk) |
| 75 | + |
| 76 | + if (CAUSAL[] || !EVEN_K[]) && j >= mask_start |
| 77 | + offs_n = j * TILE_N[] + offs_n_tile |
| 78 | + mask = ct.full((TILE_N[], TILE_M[]), true, Bool) |
| 79 | + if !EVEN_K[] |
| 80 | + mask = mask .& (offs_n .< k_seqlen) |
| 81 | + end |
| 82 | + if CAUSAL[] |
| 83 | + mask = mask .& (offs_m .>= offs_n) |
| 84 | + end |
| 85 | + mask = ct.where(mask, -Inf32, Float32) |
| 86 | + qk = qk .+ mask |
| 87 | + end |
| 88 | + |
| 89 | + # moving qk_scale multiplication after reduce_max |
| 90 | + m_ij = max.(m_i, (ct.reduce_max(qk, 1) * qk_scale)) |
| 91 | + qk = qk * qk_scale .- m_ij |
| 92 | + |
| 93 | + # attention weights [TILE_N, TILE_M] |
| 94 | + p = exp2.(qk) # might need to expose "flush_to_zero" |
| 95 | + l_ij = ct.reduce_sum(p, 1) |
| 96 | + alpha = exp2.(m_i .- m_ij) # flush to zero? |
| 97 | + |
| 98 | + l_i = l_i .* alpha .+ l_ij |
| 99 | + acc = acc .* alpha |
| 100 | + |
| 101 | + v = ct.load(V, (1, j, off_kv_h, batch_idx), (TILE_D[], TILE_N[], 1, 1)) |
| 102 | + v = ct.reshape(v, (TILE_D[], TILE_N[])) |
| 103 | + p = ct.astype(p, eltype(q)) |
| 104 | + acc = ct.muladd(v, p, acc) # [TILE_D, TILE_M] |
| 105 | + m_i = m_ij |
| 106 | + |
| 107 | + j += Int32(1) |
| 108 | + end |
| 109 | + |
| 110 | + acc = acc ./ l_i # flush to zero? rounding mode? |
| 111 | + acc = ct.reshape(acc, (TILE_D[], TILE_M[], 1, 1)) |
| 112 | + ct.store(Out, (1, bid_x, head_idx, batch_idx), acc) |
| 113 | + |
| 114 | + return |
| 115 | +end |
| 116 | + |
| 117 | +function cutile_fmha(Q::AbstractArray{T,4}, K::AbstractArray{T,4}, V::AbstractArray{T,4}; |
| 118 | + qk_scale::Union{AbstractFloat,Nothing} = nothing, |
| 119 | + input_pos::Integer = 0, |
| 120 | + tile_m::Integer = 128, |
| 121 | + tile_n::Integer = 128, |
| 122 | + query_group_size::Integer = 1, |
| 123 | + causal::Bool = false, |
| 124 | +) where T |
| 125 | + if size(Q, 4) != size(K, 4) || size(Q, 4) != size(V, 4) |
| 126 | + throw(ArgumentError("Batch dimensions must match for Q, K, V.")) |
| 127 | + end |
| 128 | + if size(Q, 3) % query_group_size != 0 |
| 129 | + throw(ArgumentError("Number of query heads must be divisible by query_group_size.")) |
| 130 | + end |
| 131 | + if size(K, 3) * query_group_size != size(Q, 3) |
| 132 | + throw(ArgumentError("K_heads * query_group_size must equal Q_heads.")) |
| 133 | + end |
| 134 | + if size(Q, 1) != size(K, 1) |
| 135 | + throw(ArgumentError("D_k (first dim of Q and K) must match.")) |
| 136 | + end |
| 137 | + if size(K, 2) != size(V, 2) |
| 138 | + throw(ArgumentError("SeqLen_KV (dim 2 of K and V) must match.")) |
| 139 | + end |
| 140 | + |
| 141 | + D_k, SeqLen_Q, Heads, Batch = size(Q) |
| 142 | + D_v, SeqLen_KV, KV_heads, _ = size(V) |
| 143 | + even_k = (SeqLen_KV % tile_n) == 0 |
| 144 | + |
| 145 | + isnothing(qk_scale) && (qk_scale = 1 / sqrt(D_k)) |
| 146 | + |
| 147 | + Out = CUDA.zeros(T, D_v, SeqLen_Q, Heads, Batch) |
| 148 | + |
| 149 | + grid_x = cld(SeqLen_Q, tile_m) |
| 150 | + grid_y = Heads * Batch |
| 151 | + grid = (grid_x, grid_y, 1) |
| 152 | + |
| 153 | + ct.launch(fmha_kernel, grid, |
| 154 | + Q, K, V, Out, |
| 155 | + qk_scale, input_pos, |
| 156 | + ct.Constant(D_k), |
| 157 | + ct.Constant(Heads), |
| 158 | + ct.Constant(tile_m), |
| 159 | + ct.Constant(tile_n), |
| 160 | + ct.Constant(query_group_size), |
| 161 | + ct.Constant(causal), |
| 162 | + ct.Constant(even_k)) |
| 163 | + |
| 164 | + return Out |
| 165 | +end |
| 166 | + |
| 167 | +function nnlib_fmha(Q::AbstractArray{T,4}, K::AbstractArray{T,4}, V::AbstractArray{T,4}; |
| 168 | + query_group_size::Integer = 1, |
| 169 | + causal::Bool = false, |
| 170 | +) where T |
| 171 | + mask = causal ? NNlib.make_causal_mask(Q; dims=2) : nothing |
| 172 | + if query_group_size > 1 |
| 173 | + K, V = repeat.((K, V), inner=(1, 1, query_group_size)) |
| 174 | + end |
| 175 | + Out, _ = NNlib.dot_product_attention(Q, K, V; mask) |
| 176 | + return Out |
| 177 | +end |
| 178 | + |
| 179 | + |
| 180 | +function test_fmha(::Type{T}, |
| 181 | + D_k, SeqLen_Q, Heads, Batch, |
| 182 | + D_v, SeqLen_KV, KV_heads, |
| 183 | + causal, tile_m, tile_n, |
| 184 | +) where T |
| 185 | + query_group_size = Heads ÷ KV_heads |
| 186 | + |
| 187 | + Q = CUDA.randn(T, D_k, SeqLen_Q, Heads, Batch) |
| 188 | + K = CUDA.randn(T, D_k, SeqLen_KV, KV_heads, Batch) |
| 189 | + V = CUDA.randn(T, D_v, SeqLen_KV, KV_heads, Batch) |
| 190 | + |
| 191 | + out_cutile = cutile_fmha(Q, K, V; |
| 192 | + causal=causal, |
| 193 | + tile_m=tile_m, tile_n=tile_n, |
| 194 | + query_group_size=query_group_size) |
| 195 | + |
| 196 | + Q_cpu = Array(Q) |
| 197 | + K_cpu = Array(K) |
| 198 | + V_cpu = Array(V) |
| 199 | + expected = nnlib_fmha(Q_cpu, K_cpu, V_cpu; query_group_size, causal) |
| 200 | + result = Array(out_cutile) |
| 201 | + |
| 202 | + if isapprox(result, expected, rtol=1e-2, atol=1e-2) |
| 203 | + println(" passed") |
| 204 | + else |
| 205 | + max_diff = maximum(abs.(result - expected)) |
| 206 | + println(" FAILED (max diff: $max_diff)") |
| 207 | + end |
| 208 | +end |
0 commit comments