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Mojo function

causal_conv1d_channel_first_fwd_gpu

causal_conv1d_channel_first_fwd_gpu[x_dtype: DType, weight_dtype: DType, output_dtype: DType, kNThreads: Int, kWidth: Int, kNElts: Int, bias_dtype: DType, x_LT: TensorLayout, weight_LT: TensorLayout, output_LT: TensorLayout, bias_LT: TensorLayout](batch: Int, dim: Int, seqlen: Int, width: Int, x: TileTensor[x_dtype, x_LT, MutExternalOrigin], weight: TileTensor[weight_dtype, weight_LT, MutExternalOrigin], output: TileTensor[output_dtype, output_LT, MutExternalOrigin], bias: TileTensor[bias_dtype, bias_LT, MutExternalOrigin], x_batch_stride: UInt32, x_c_stride: UInt32, x_l_stride: UInt32, weight_c_stride: UInt32, weight_width_stride: UInt32, out_batch_stride: UInt32, out_c_stride: UInt32, out_l_stride: UInt32, bias_stride: UInt32, silu_activation: Int8)

Optimized GPU implementation of causal conv1d for channel-first layout with bias.

Key optimizations:

SIMD vectorization for input/output operations (kNElts elements per thread).
Efficient memory access patterns with coalesced loads.
Vectorized weight loading and computation for width=2 and width=4.
Optimized activation function with SIMD operations.
Better thread utilization and memory bandwidth usage.

Grid: (ceildiv(seqlen, kNThreads * kNElts), dim, batch) Block: kNThreads

Args:

batch (Int): Batch size.
dim (Int): Number of channels.
seqlen (Int): Sequence length.
width (Int): Kernel width (must match kWidth compile-time parameter).
x (TileTensor[x_dtype, x_LT, MutExternalOrigin]): Input tensor of shape (B, C, L).
weight (TileTensor[weight_dtype, weight_LT, MutExternalOrigin]): Weight tensor of shape (C, W).
output (TileTensor[output_dtype, output_LT, MutExternalOrigin]): Output tensor of shape (B, C, L).
bias (TileTensor[bias_dtype, bias_LT, MutExternalOrigin]): Bias tensor of shape (C,).
x_batch_stride (UInt32): Stride for the batch dimension of the input tensor.
x_c_stride (UInt32): Stride for the channel dimension of the input tensor.
x_l_stride (UInt32): Stride for the sequence length dimension of the input tensor.
weight_c_stride (UInt32): Stride for the channel dimension of the weight tensor.
weight_width_stride (UInt32): Stride for the width dimension of the weight tensor.
out_batch_stride (UInt32): Stride for the batch dimension of the output tensor.
out_c_stride (UInt32): Stride for the channel dimension of the output tensor.
out_l_stride (UInt32): Stride for the sequence length dimension of the output tensor.
bias_stride (UInt32): Stride for the channel dimension of the bias tensor.
silu_activation (Int8): Whether to apply SiLU activation (Int8: 0 or 1).