alias number = f32;

struct PackedMatrixBatch {
  size: vec4<u32>,
  data: array<vec4<number>>,
}

struct MatrixBatch {
  size: vec4<u32>,
  data: array<number>,
}

@group(0) @binding(0)
var<storage, read> l: PackedMatrixBatch;
@group(0) @binding(1)
var<storage, read> tr: PackedMatrixBatch;
@group(0) @binding(2)
var<storage, read_write> result: MatrixBatch;

@compute @workgroup_size(1)
fn main(@builtin(global_invocation_id) global_id: vec3<u32>) {
  result.size = l.size;
  result.size.x = tr.size.y;

  var s = 0f;
  let vc = l.size.x / 4;
  let lo = (global_id.z * l.size.y + global_id.y) * vc;
  let ro = (global_id.z * tr.size.y + global_id.x) * vc;
  for (var i = 0u; i < vc; i++) {
    s += dot(l.data[lo + i], tr.data[ro + i]);
  }

  result.data[global_id.z * result.size.y * result.size.x + global_id.y * result.size.x + global_id.x] = s;
}