// Deterministic gather-style bilinear upsampling adjoint for FP32 NCHW matrices.
import storage;
import attributes;
struct PushConstants {
uint output_gradient_index;
uint input_gradient_index;
uint batch_size;
uint channels;
uint input_height;
uint input_width;
uint output_height;
uint output_width;
uint scale_factor;
};
[[vk::push_constant]] PushConstants push;
[[vk::binding(0, 0)]] RWByteAddressBuffer storage_buffers[];
[kernel_name("upsample_2d_bilinear_backward")]
[domain("ml")]
[variant("generic")]
[dtype("f32")]
[status("experimental")]
[shader("compute")]
[numthreads(16, 16, 1)]
void main(uint3 group_id : SV_GroupID, uint3 group_thread_id : SV_GroupThreadID) {
uint input_x = group_id.x * 16u + group_thread_id.x;
uint input_y = group_id.y * 16u + group_thread_id.y;
uint batch_channel = group_id.z;
if (input_x >= push.input_width || input_y >= push.input_height) {
return;
}
uint batch = batch_channel / push.channels;
uint channel = batch_channel % push.channels;
if (batch >= push.batch_size) {
return;
}
float gradient = 0.0f;
for (uint output_y = 0u; output_y < push.output_height; ++output_y) {
float source_y = (float(output_y) + 0.5f) / float(push.scale_factor) - 0.5f;
int raw_y0 = int(floor(source_y));
int raw_y1 = raw_y0 + 1;
float y_fraction = source_y - float(raw_y0);
uint y0 = uint(clamp(raw_y0, 0, int(push.input_height) - 1));
uint y1 = uint(clamp(raw_y1, 0, int(push.input_height) - 1));
for (uint output_x = 0u; output_x < push.output_width; ++output_x) {
float source_x = (float(output_x) + 0.5f) / float(push.scale_factor) - 0.5f;
int raw_x0 = int(floor(source_x));
int raw_x1 = raw_x0 + 1;
float x_fraction = source_x - float(raw_x0);
uint x0 = uint(clamp(raw_x0, 0, int(push.input_width) - 1));
uint x1 = uint(clamp(raw_x1, 0, int(push.input_width) - 1));
uint output_index = ((batch * push.channels + channel) * push.output_height + output_y)
* push.output_width + output_x;
float output_gradient = load_f32(
storage_buffers[push.output_gradient_index], output_index
);
if (input_y == y0 && input_x == x0) {
gradient += output_gradient * (1.0f - y_fraction) * (1.0f - x_fraction);
}
if (input_y == y0 && input_x == x1) {
gradient += output_gradient * (1.0f - y_fraction) * x_fraction;
}
if (input_y == y1 && input_x == x0) {
gradient += output_gradient * y_fraction * (1.0f - x_fraction);
}
if (input_y == y1 && input_x == x1) {
gradient += output_gradient * y_fraction * x_fraction;
}
}
}
uint input_index = ((batch * push.channels + channel) * push.input_height + input_y)
* push.input_width + input_x;
store_f32(storage_buffers[push.input_gradient_index], input_index, gradient);
}