// Mechanically adapted from OA C++:
// source/cpp/lib/oa/ml/shader/compute/nn/attention/flashCausalBwdQ.slang
import storage;
import attributes;
static const uint THREAD_COUNT = 64;
static const uint MAX_SEQUENCE_LENGTH = 1024;
struct PushConstants {
uint query_index;
uint key_index;
uint value_index;
uint output_index;
uint output_gradient_index;
uint log_sum_exp_index;
uint query_gradient_index;
uint batch_heads;
uint sequence_length;
uint head_dim;
float scale;
};
[[vk::push_constant]] PushConstants push;
[[vk::binding(0, 0)]] RWByteAddressBuffer storage_buffers[];
groupshared float shared_score_gradient[MAX_SEQUENCE_LENGTH];
groupshared float shared_reduce[THREAD_COUNT];
[kernel_name("scaled_dot_product_attention_backward")]
[domain("ml")]
[variant("flash_causal_q")]
[dtype("f32")]
[status("experimental")]
[shader("compute")]
[numthreads(THREAD_COUNT, 1, 1)]
void main(uint3 group_id : SV_GroupID, uint3 group_thread_id : SV_GroupThreadID) {
uint row = group_id.x;
uint lane = group_thread_id.x;
if (row >= push.batch_heads * push.sequence_length) {
return;
}
uint batch_head = row / push.sequence_length;
uint query = row - batch_head * push.sequence_length;
uint query_base = row * push.head_dim;
uint key_value_head_base = batch_head * push.sequence_length * push.head_dim;
float local_delta = 0.0f;
for (uint dimension = lane; dimension < push.head_dim; dimension += THREAD_COUNT) {
local_delta += load_f32(storage_buffers[push.output_gradient_index], query_base + dimension)
* load_f32(storage_buffers[push.output_index], query_base + dimension);
}
shared_reduce[lane] = local_delta;
GroupMemoryBarrierWithGroupSync();
for (uint stride = THREAD_COUNT / 2; stride > 0; stride >>= 1) {
if (lane < stride) {
shared_reduce[lane] += shared_reduce[lane + stride];
}
GroupMemoryBarrierWithGroupSync();
}
float delta = shared_reduce[0];
float log_sum_exp = load_f32(storage_buffers[push.log_sum_exp_index], row);
for (uint key = lane; key <= query; key += THREAD_COUNT) {
uint key_value_base = key_value_head_base + key * push.head_dim;
float score = 0.0f;
float probability_gradient = 0.0f;
for (uint dimension = 0; dimension < push.head_dim; ++dimension) {
score += load_f32(storage_buffers[push.query_index], query_base + dimension)
* load_f32(storage_buffers[push.key_index], key_value_base + dimension);
probability_gradient += load_f32(
storage_buffers[push.output_gradient_index], query_base + dimension)
* load_f32(storage_buffers[push.value_index], key_value_base + dimension);
}
float probability = exp(score * push.scale - log_sum_exp);
shared_score_gradient[key] = probability * (probability_gradient - delta) * push.scale;
}
GroupMemoryBarrierWithGroupSync();
for (uint dimension = lane; dimension < push.head_dim; dimension += THREAD_COUNT) {
float accumulator = 0.0f;
for (uint key = 0; key <= query; ++key) {
accumulator += shared_score_gradient[key]
* load_f32(
storage_buffers[push.key_index],
key_value_head_base + key * push.head_dim + dimension);
}
store_f32(
storage_buffers[push.query_gradient_index], query_base + dimension, accumulator);
}
}