// Mechanical adaptation of OA's output-saved Softmax adjoint.
import storage;
import attributes;
struct PushConstants {
uint forward_output_index;
uint output_gradient_index;
uint input_gradient_index;
uint outer_size;
uint dim_size;
uint inner_size;
};
[[vk::push_constant]] PushConstants push;
[[vk::binding(0, 0)]] RWByteAddressBuffer storage_buffers[];
groupshared float shared_values[256];
[kernel_name("softmax_backward")]
[domain("matrix")]
[variant("generic")]
[dtype("f32")]
[status("experimental")]
[shader("compute")]
[numthreads(256, 1, 1)]
void main(uint3 group_id : SV_GroupID, uint3 group_thread_id : SV_GroupThreadID) {
uint group = group_id.x;
uint lane = group_thread_id.x;
if (group >= push.outer_size * push.inner_size) {
return;
}
uint outer = group / push.inner_size;
uint inner = group % push.inner_size;
uint base = outer * push.dim_size * push.inner_size + inner;
float local_dot = 0.0f;
for (uint index = lane; index < push.dim_size; index += 256) {
uint element = base + index * push.inner_size;
local_dot += load_f32(storage_buffers[push.output_gradient_index], element)
* load_f32(storage_buffers[push.forward_output_index], element);
}
shared_values[lane] = local_dot;
GroupMemoryBarrierWithGroupSync();
for (uint stride = 128; stride > 0; stride >>= 1) {
if (lane < stride) {
shared_values[lane] += shared_values[lane + stride];
}
GroupMemoryBarrierWithGroupSync();
}
float dot = shared_values[0];
GroupMemoryBarrierWithGroupSync();
for (uint index = lane; index < push.dim_size; index += 256) {
uint element = base + index * push.inner_size;
float value = load_f32(storage_buffers[push.forward_output_index], element);
float gradient = load_f32(storage_buffers[push.output_gradient_index], element);
store_f32(
storage_buffers[push.input_gradient_index],
element,
value * (gradient - dot)
);
}
}