matMulBiasReluGPU function
/////////////////////////////////
Fused Kernels (1000+) ///
/////////////////////////////////
Executes a fused matrix multiplication, bias addition, and ReLU activation sequence.
Multiplies matrix x by weight matrix w, broadcasts and adds the bias vector b,
and applies a ReLU activation in a single optimized pass. Returns the activated output matrix
and pushes the pre-activation tensor to the intermediates list to manage VRAM lifecycles.
The operations are appended to tape for execution.
Implementation
/// Executes a fused matrix multiplication, bias addition, and ReLU activation sequence.
/// Multiplies matrix [x] by weight matrix [w], broadcasts and adds the bias vector [b],
/// and applies a ReLU activation in a single optimized pass. Returns the activated output matrix
/// and pushes the pre-activation tensor to the [intermediates] list to manage VRAM lifecycles.
/// The operations are appended to [tape] for execution.
GPUTensor<Matrix> matMulBiasReluGPU(GPUTensor<Matrix> x, GPUTensor<Matrix> w,
GPUTensor<Vector> b, CommandBuffer tape, List<GPUTensor> intermediates,
{GPUTensor<Matrix>? reluOutTensor, GPUTensor<Matrix>? preReluOutTensor}) {
int M = x.shape[0];
int K = x.shape[1];
int N = w.shape[1];
// Instantly reserve VRAM without building 33MB of Dart Lists!
List<int> outShape = <int>[M, N];
GPUTensor<Matrix> reluOut =
reluOutTensor ?? GPUTensor<Matrix>.empty(outShape);
GPUTensor<Matrix> preReluOut =
preReluOutTensor ?? GPUTensor<Matrix>.empty(outShape);
reluOut.subMap["preReluOut"] = preReluOut;
// Add to trash so it doesn't leak VRAM!
intermediates.add(preReluOut);
tape.putInt(OP_MATMUL_BIAS_RELU_FORWARD);
tape.putString(x.id);
tape.putString(w.id);
tape.putString(b.id);
tape.putString(reluOut.id);
tape.putString(preReluOut.id);
int cost = (2 * M * K * N) + (M * N) + (M * N);
reluOut.creator = GPUNode(
<GPUTensor>[x, w, b],
(CommandBuffer bTape) {
bTape.putInt(OP_RELU_BACKWARD);
bTape.putString(preReluOut.id);
bTape.putString(reluOut.gradId);
bTape.putString(preReluOut.gradId);
bTape.putInt(OP_MATMUL);
bTape.putString(x.id);
bTape.putString(preReluOut.gradId);
bTape.putString(w.gradId);
bTape.putBool(true);
bTape.putBool(false);
bTape.putFloat(1.0);
bTape.putFloat(1.0);
bTape.putBool(true); // Tensor Cores ON
bTape.putInt(OP_MATMUL);
bTape.putString(preReluOut.gradId);
bTape.putString(w.id);
bTape.putString(x.gradId);
bTape.putBool(false);
bTape.putBool(true);
bTape.putFloat(1.0);
bTape.putFloat(1.0);
bTape.putBool(true); // Tensor Cores ON
bTape.putInt(OP_SUM_REDUCE_COLUMNS);
bTape.putString(preReluOut.gradId);
bTape.putString(b.gradId);
},
opName: 'matMulBiasReluGPU',
cost: cost,
);
return reluOut;
}