// Whole-sequence GRU BPTT. One workgroup owns one batch sequence.
import activations;
import storage;
import attributes;
struct PushConstants {
uint output_gradient_index;
uint gates_i_index;
uint hidden_previous_index;
uint weight_hh_index;
uint bias_hh_index;
uint gates_i_gradient_index;
uint gates_h_gradient_index;
uint hidden_size;
uint sequence_length;
uint batch;
uint has_bias;
};
[[vk::push_constant]] PushConstants push;
[[vk::binding(0, 0)]] RWByteAddressBuffer storage_buffers[];
groupshared float hidden_gradient[1024];
groupshared float hidden_gates[3072];
groupshared float hidden_previous[1024];
groupshared float hidden_gate_gradient[3072];
[kernel_name("gru_scan_backward")]
[domain("ml")]
[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 batch_index = group_id.x;
uint lane = group_thread_id.x;
uint gate_count = 3u * push.hidden_size;
if (batch_index >= push.batch) {
return;
}
for (uint feature = lane; feature < push.hidden_size; feature += 256u) {
hidden_gradient[feature] = 0.0f;
}
GroupMemoryBarrierWithGroupSync();
for (int signed_time = int(push.sequence_length) - 1; signed_time >= 0; --signed_time) {
uint time = uint(signed_time);
uint hidden_base = (batch_index * push.sequence_length + time) * push.hidden_size;
for (uint feature = lane; feature < push.hidden_size; feature += 256u) {
hidden_previous[feature] = load_f32(
storage_buffers[push.hidden_previous_index], hidden_base + feature
);
}
GroupMemoryBarrierWithGroupSync();
for (uint gate = lane; gate < gate_count; gate += 256u) {
float value = push.has_bias != 0u
? load_f32(storage_buffers[push.bias_hh_index], gate)
: 0.0f;
uint weight_base = gate * push.hidden_size;
for (uint feature = 0; feature < push.hidden_size; ++feature) {
value += hidden_previous[feature]
* load_f32(storage_buffers[push.weight_hh_index], weight_base + feature);
}
hidden_gates[gate] = value;
}
GroupMemoryBarrierWithGroupSync();
uint gate_base = (batch_index * push.sequence_length + time) * gate_count;
for (uint feature = lane; feature < push.hidden_size; feature += 256u) {
float input_reset = load_f32(storage_buffers[push.gates_i_index], gate_base + feature);
float input_update = load_f32(
storage_buffers[push.gates_i_index], gate_base + push.hidden_size + feature
);
float input_candidate = load_f32(
storage_buffers[push.gates_i_index], gate_base + 2u * push.hidden_size + feature
);
float reset = sigmoid(input_reset + hidden_gates[feature]);
float update = sigmoid(input_update + hidden_gates[push.hidden_size + feature]);
float candidate = tanh(
input_candidate + reset * hidden_gates[2u * push.hidden_size + feature]
);
float upstream = load_f32(
storage_buffers[push.output_gradient_index], hidden_base + feature
) + hidden_gradient[feature];
float candidate_gradient = upstream * (1.0f - update);
float update_gradient = upstream * (hidden_previous[feature] - candidate);
float direct_hidden_gradient = upstream * update;
float candidate_logit_gradient = candidate_gradient * (1.0f - candidate * candidate);
float reset_gradient = candidate_logit_gradient
* hidden_gates[2u * push.hidden_size + feature];
float hidden_candidate_gradient = candidate_logit_gradient * reset;
float reset_logit_gradient = reset_gradient * reset * (1.0f - reset);
float update_logit_gradient = update_gradient * update * (1.0f - update);
store_f32(
storage_buffers[push.gates_i_gradient_index], gate_base + feature,
reset_logit_gradient
);
store_f32(
storage_buffers[push.gates_i_gradient_index],
gate_base + push.hidden_size + feature,
update_logit_gradient
);
store_f32(
storage_buffers[push.gates_i_gradient_index],
gate_base + 2u * push.hidden_size + feature,
candidate_logit_gradient
);
hidden_gate_gradient[feature] = reset_logit_gradient;
hidden_gate_gradient[push.hidden_size + feature] = update_logit_gradient;
hidden_gate_gradient[2u * push.hidden_size + feature] = hidden_candidate_gradient;
hidden_previous[feature] = direct_hidden_gradient;
}
GroupMemoryBarrierWithGroupSync();
for (uint feature = lane; feature < push.hidden_size; feature += 256u) {
float value = hidden_previous[feature];
for (uint gate = 0; gate < gate_count; ++gate) {
value += hidden_gate_gradient[gate] * load_f32(
storage_buffers[push.weight_hh_index], gate * push.hidden_size + feature
);
}
hidden_gradient[feature] = value;
}
for (uint gate = lane; gate < gate_count; gate += 256u) {
store_f32(
storage_buffers[push.gates_h_gradient_index], gate_base + gate,
hidden_gate_gradient[gate]
);
}
GroupMemoryBarrierWithGroupSync();
}
}