@group(0) @binding(0) var<uniform> shape: vec4<u32>; // [C, T, B]
@group(0) @binding(1) var<storage, read> w: array<vec2<u32>>; // (C)
@group(0) @binding(2) var<storage, read> b: array<vec2<u32>>; // (C)
#ifdef FP16
@group(0) @binding(3) var<storage, read_write> x: array<vec2<u32>>; // (B, T, C)
#else
@group(0) @binding(3) var<storage, read_write> x: array<vec4<f32>>; // (B, T, C)
#endif
const NUM_SUBGROUPS: u32 = BLOCK_SIZE / MIN_SUBGROUP_SIZE;
var<workgroup> sketch: array<vec4<f32>, NUM_SUBGROUPS>;
var<workgroup> mean: f32;
var<workgroup> norm: f32;
fn pack4x16float(x: vec4<f32>) -> vec2<u32> {
return vec2<u32>(pack2x16float(x.xy), pack2x16float(x.zw));
}
fn unpack4x16float(x: vec2<u32>) -> vec4<f32> {
return vec4<f32>(unpack2x16float(x.x), unpack2x16float(x.y));
}
fn reduce_sum(index: u32, stride: u32) {
if index < stride {
sketch[index] += sketch[index + stride];
}
workgroupBarrier();
}
fn load_x(index: u32) -> vec4<f32> {
#ifdef FP16
return unpack4x16float(x[index]);
#else
return x[index];
#endif
}
fn store_x(index: u32, value: vec4<f32>) {
#ifdef FP16
x[index] = pack4x16float(value);
#else
x[index] = value;
#endif
}
@compute @workgroup_size(BLOCK_SIZE, 1, 1)
fn recenter(
@builtin(global_invocation_id) invocation_id: vec3<u32>,
@builtin(num_subgroups) num_subgroups: u32,
@builtin(subgroup_id) subgroup_id: u32,
@builtin(subgroup_size) subgroup_size: u32,
@builtin(subgroup_invocation_id) subgroup_invocation_id: u32
) {
let stride = shape[0] / 4u;
let index = invocation_id.x;
let token = invocation_id.y;
let batch = invocation_id.z;
let bb = (batch * shape[1] + token) * stride;
var _sum_4: vec4<f32>;
for (var i = index; i < stride; i += BLOCK_SIZE) {
let value = load_x(bb + i);
_sum_4 += value;
}
_sum_4 = subgroupAdd(_sum_4);
if subgroup_invocation_id == 0u { sketch[subgroup_id] = _sum_4; }
workgroupBarrier();
#ifdef SUBGROUP_SIZE_32_32
reduce_sum(index, 2u);
reduce_sum(index, 1u);
#else
#ifdef SUBGROUP_SIZE_32_64
if subgroup_size == 32u { reduce_sum(index, 2u); }
reduce_sum(index, 1u);
#else
#ifdef SUBGROUP_SIZE_64_64
reduce_sum(index, 1u);
#else
for (var step = num_subgroups >> 1u; step > 0u; step >>= 1u) {
if index < step {
sketch[index] += sketch[index + step];
}
workgroupBarrier();
}
#endif
#endif
#endif
if index == 0u {
mean = dot(sketch[0], vec4<f32>(1.0)) / f32(shape[0]);
}
workgroupBarrier();
for (var i = index; i < stride; i += BLOCK_SIZE) {
let value = load_x(bb + i);
store_x(bb + i, value - mean);
}
}
@compute @workgroup_size(BLOCK_SIZE, 1, 1)
fn rms_norm(
@builtin(global_invocation_id) invocation_id: vec3<u32>,
@builtin(num_subgroups) num_subgroups: u32,
@builtin(subgroup_id) subgroup_id: u32,
@builtin(subgroup_size) subgroup_size: u32,
@builtin(subgroup_invocation_id) subgroup_invocation_id: u32
) {
let stride = shape[0] / 4u;
let index = invocation_id.x;
let token = invocation_id.y;
let batch = invocation_id.z;
let bb = (batch * shape[1] + token) * stride;
var _sum_4: vec4<f32>;
for (var i = index; i < stride; i += BLOCK_SIZE) {
let value = load_x(bb + i);
_sum_4 += value * value;
}
_sum_4 = subgroupAdd(_sum_4);
if subgroup_invocation_id == 0u { sketch[subgroup_id] = _sum_4; }
workgroupBarrier();
#ifdef SUBGROUP_SIZE_32_32
reduce_sum(index, 2u);
reduce_sum(index, 1u);
#else
#ifdef SUBGROUP_SIZE_32_64
if subgroup_size == 32u { reduce_sum(index, 2u); }
reduce_sum(index, 1u);
#else
#ifdef SUBGROUP_SIZE_64_64
reduce_sum(index, 1u);
#else
for (var step = num_subgroups >> 1u; step > 0u; step >>= 1u) {
if index < step {
sketch[index] += sketch[index + step];
}
workgroupBarrier();
}
#endif
#endif
#endif
if index == 0u {
norm = inverseSqrt(dot(sketch[0], vec4<f32>(1.0)) / f32(shape[0]) + EPS);
}
workgroupBarrier();
for (var i = index; i < stride; i += BLOCK_SIZE) {
let value = load_x(bb + i) * norm;
store_x(bb + i, fma(value, unpack4x16float(w[i]), unpack4x16float(b[i])));
}
}
@compute @workgroup_size(BLOCK_SIZE, 1, 1)
fn l2_norm(
@builtin(global_invocation_id) invocation_id: vec3<u32>,
@builtin(num_subgroups) num_subgroups: u32,
@builtin(subgroup_id) subgroup_id: u32,
@builtin(subgroup_size) subgroup_size: u32,
@builtin(subgroup_invocation_id) subgroup_invocation_id: u32
) {
let stride = shape[0] / 4u;
let index = invocation_id.x;
let token = invocation_id.y;
let batch = invocation_id.z;
let bb = (batch * shape[1] + token) * stride;
var _sum_4: vec4<f32>;
for (var i = index; i < stride; i += BLOCK_SIZE) {
let value = load_x(bb + i);
_sum_4 += value * value;
}
_sum_4 = subgroupAdd(_sum_4);
if subgroup_invocation_id == 0u { sketch[subgroup_id] = _sum_4; }
workgroupBarrier();
#ifdef SUBGROUP_SIZE_32_32
reduce_sum(index, 2u);
reduce_sum(index, 1u);
#else
#ifdef SUBGROUP_SIZE_32_64
if subgroup_size == 32u { reduce_sum(index, 2u); }
reduce_sum(index, 1u);
#else
#ifdef SUBGROUP_SIZE_64_64
reduce_sum(index, 1u);
#else
for (var step = num_subgroups >> 1u; step > 0u; step >>= 1u) {
if index < step {
sketch[index] += sketch[index + step];
}
workgroupBarrier();
}
#endif
#endif
#endif
if index == 0u {
norm = inverseSqrt(dot(sketch[0], vec4<f32>(1.0)) + EPS);
}
workgroupBarrier();
for (var i = index; i < stride; i += BLOCK_SIZE) {
let value = load_x(bb + i) * norm;
store_x(bb + i, value);
}
}