// Multi-head attention forward with online softmax
// Dispatch: [q_seq, num_heads, 1], WG=64
struct Params {
q_seq: u32,
kv_seq: u32,
packed_heads: u32,
head_dim: u32,
}
var<storage> src_a: array<f32>; // Q
var<storage> src_b: array<f32>; // K
var<storage> bias: array<f32>; // V
var<storage, read_write> dst: array<f32>; // O
var<storage, read_write> lse: array<f32>; // log-sum-exp
var<uniform> params: Params;
var<workgroup> wg_dot: array<f32, 64>;
fn tree_reduce(tid: u32) {
workgroupBarrier();
if tid < 32u { wg_dot[tid] += wg_dot[tid + 32u]; }
workgroupBarrier();
if tid < 16u { wg_dot[tid] += wg_dot[tid + 16u]; }
workgroupBarrier();
if tid < 8u { wg_dot[tid] += wg_dot[tid + 8u]; }
workgroupBarrier();
if tid < 4u { wg_dot[tid] += wg_dot[tid + 4u]; }
workgroupBarrier();
if tid < 2u { wg_dot[tid] += wg_dot[tid + 2u]; }
workgroupBarrier();
if tid < 1u { wg_dot[tid] += wg_dot[tid + 1u]; }
workgroupBarrier();
}
@compute @workgroup_size(64)
fn main(@builtin(workgroup_id) wgid: vec3<u32>, @builtin(local_invocation_id) lid: vec3<u32>) {
let pos = wgid.x;
let head = wgid.y;
let tid = lid.x;
let q_seq = params.q_seq;
let kv_seq = params.kv_seq;
let num_heads = params.packed_heads >> 16u;
let num_kv_heads = params.packed_heads & 0xFFFFu;
let head_dim = params.head_dim;
if pos >= q_seq || head >= num_heads { return; }
let kv_head = head / (num_heads / num_kv_heads);
let kv_head_off = kv_head * head_dim;
let kv_dim = num_kv_heads * head_dim;
let scale = inverseSqrt(f32(head_dim));
let q_base = pos * (num_heads * head_dim) + head * head_dim;
let q_val = src_a[q_base + tid];
var my_out = 0.0;
var max_score = -1e30;
var sum_exp = 0.0;
for (var t = 0u; t < kv_seq; t++) {
let k_base = t * kv_dim + kv_head_off;
// Parallel dot product Q·K with tree reduction
wg_dot[tid] = q_val * src_b[k_base + tid];
tree_reduce(tid);
let score = wg_dot[0] * scale;
// Online softmax update
let new_max = max(max_score, score);
let correction = exp(max_score - new_max);
let weight = exp(score - new_max);
sum_exp = sum_exp * correction + weight;
my_out = my_out * correction + weight * bias[k_base + tid];
max_score = new_max;
}
// Guard against division by zero (e.g. kv_seq=0 or all scores underflow)
let safe_sum = select(sum_exp, 1.0, sum_exp == 0.0);
dst[q_base + tid] = my_out / safe_sum;
// Write (max_score, log_sum_exp) for backward (thread 0 only)
if tid == 0u {
let idx = (pos * num_heads + head) * 2u;
lse[idx] = max_score;
lse[idx + 1u] = select(log(sum_exp), -1e30, sum_exp == 0.0);
}
}