// Semiring matmul: max_min for f32
// C[i,j] = max_k( min(A[i,k], B[k,j]) )
// Entry points: semiring_matmul_max_min_f32, batched_semiring_matmul_max_min_f32
struct SemiringMatmulParams {
M: u32,
K: u32,
N: u32,
batch_size: u32,
}
@group(0) @binding(0) var<storage, read_write> sr_a: array<f32>;
@group(0) @binding(1) var<storage, read_write> sr_b: array<f32>;
@group(0) @binding(2) var<storage, read_write> sr_c: array<f32>;
@group(0) @binding(3) var<uniform> sr_params: SemiringMatmulParams;
fn sr_combine(a: f32, b: f32) -> f32 {
return min(a, b);
}
fn sr_reduce(acc: f32, val: f32) -> f32 {
return max(acc, val);
}
@compute @workgroup_size(16, 16, 1)
fn semiring_matmul_max_min_f32(
@builtin(global_invocation_id) global_id: vec3<u32>
) {
let M = sr_params.M;
let K = sr_params.K;
let N = sr_params.N;
let row = global_id.y;
let col = global_id.x;
if (row >= M || col >= N) {
return;
}
var acc: f32 = bitcast<f32>(0xff800000u);
for (var kk: u32 = 0u; kk < K; kk = kk + 1u) {
let a_val = sr_a[row * K + kk];
let b_val = sr_b[kk * N + col];
acc = sr_reduce(acc, sr_combine(a_val, b_val));
}
sr_c[row * N + col] = acc;
}
@compute @workgroup_size(16, 16, 1)
fn batched_semiring_matmul_max_min_f32(
@builtin(global_invocation_id) global_id: vec3<u32>
) {
let M = sr_params.M;
let K = sr_params.K;
let N = sr_params.N;
let batch_size = sr_params.batch_size;
let batch = global_id.z;
if (batch >= batch_size) {
return;
}
let row = global_id.y;
let col = global_id.x;
if (row >= M || col >= N) {
return;
}
let a_offset = batch * M * K;
let b_offset = batch * K * N;
let c_offset = batch * M * N;
var acc: f32 = bitcast<f32>(0xff800000u);
for (var kk: u32 = 0u; kk < K; kk = kk + 1u) {
let a_val = sr_a[a_offset + row * K + kk];
let b_val = sr_b[b_offset + kk * N + col];
acc = sr_reduce(acc, sr_combine(a_val, b_val));
}
sr_c[c_offset + row * N + col] = acc;
}