reasoning
**Exploring CUDA extension setup**
I need to figure out if I can put the C++ wrapper in the `cuda_sources` for the CUDA extension. The idea is to use `load_inline` with `cpp_sources`, potentially leaving it empty, while ensuring `cuda_sources` includes the function `torch::Tensor post_forward(...)`.
I wonder if the auto-binding will pick up the functions found, as it's typically the case that parameters generate bindings in `main.cpp` with the necessary declarations. Let's see if this setup works smoothly!
**Evaluating warp configurations**
I'm considering if it's better to use one warp per group with a size of 16. The thought of having half of the warp load contiguous seems appealing for efficiency. However, with 512 samples per group, that could lead to having a lot of warps. I guess I need to weigh the benefits of reduced warp load against the potential complexity of managing so many warps. Let's see what the best balance is!
**Optimizing block processing**
I'm exploring an optimization that involves using 8 warps per block, which gives me 65536 blocks. By coalescing data, I can improve performance. Each warp handles one group, loading data contiguously to achieve coalescing. For example, with 256 threads per block, each warp processes 64 groups in a loop. I’m considering group sizes not fixed at 16, and potentially allowing up to 1024. Additionally, I'm devising a kernel that implements warp reductions effectively. This strategy could enhance parallel processing further!
**Considering kernel implementation**
I'm thinking about the group size for my kernel implementation. It seems like handling sizes greater than 32 could be tricky, so maybe I should fall back to a simpler method. If I can implement one kernel for sizes up to 32, that’s good. Otherwise, a single-threaded kernel would work for larger sizes. It might be sensible to have two kernels: a warp version for smaller sizes and a serial one for larger. I also want to incorporate parameters and adjustments, like using leaky activation. Lastly, I'll include warp reduction using synchronization methods.
**Evaluating bias implementation**
I’m pondering whether we can modify post assumptions with a pre-bias. What if we implement a parameter like `add_bias`? It seems simpler with host functions—maybe two? If using `F.linear`, it's unclear if that adds bias in the GEMM epilogue or a separate kernel. For larger matrices, PyTorch might call `addmm`, initializing bias before the GEMM step, but broadcasting the bias vector may not be trivial. Tracking these details seems crucial for performance evaluation!
**Comparing algorithms for performance**
I'm wondering if the matrix multiplication (mm) algorithm is slightly slower than `addmm`, but they seem likely to be similar in speed. If I reference `F.linear` with bias plus group normalization, my modified matrix multiplication without bias should be faster. That seems promising! I could consider using `cublasLt` with an extended setup. However, incorporating a fused epilogue and group normalization doesn't seem feasible—definitely something to keep in mind as I refine the approach.
**Finalizing GroupNorm computation**
I'm working on the GroupNorm function and considering how to compute the mean and variance, possibly using float values for fp32. I realize I need to handle the negative_slope properly in my calculations. If z equals 0, I'll need to ensure the leaky function returns 0 as well, so I should use the >= operator. Looks like I'm almost ready to finalize my submission!
call → submit_kernel
callsubmit_kernel
{
"kernel_code": "import torch\nimport torch.nn as nn\nfrom torch.utils.cpp_extension import load_inline\n\n\n_cpp_src = r\"\"\"\n#include <torch/extension.h>\n\ntorch::Tensor post_forward(torch::Tensor y,\n torch::Tensor lin_bias,\n torch::Tensor gn_weight,\n torch::Tensor gn_bias,\n double eps,\n double negative_slope,\n int64_t num_groups);\n\"\"\"\n\n_cuda_src = r\"\"\"\n#include <torch/extension.h>\n#include <ATen/cuda/CUDAContext.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n#include <stdint.h>\n\n__inline__ __device__ float warp_sum(float v) {\n unsigned mask = 0xffffffffu;\n v += __shfl_down_sync(mask, v, 16);\n v += __shfl_down_sync(mask, v, 8);\n v += __shfl_down_sync(mask, v, 4);\n v += __shfl_down_sync(mask, v, 2);\n v += __shfl_down_sync(mask, v, 1);\n return v;\n}\n\n// Optimized path for the benchmark shape: group size is 16. One warp computes\n// one group, giving contiguous/coalesced accesses within each group.\n__global__ void groupnorm_warp_kernel(float* __restrict__ y,\n const float* __restrict__ lin_bias,\n const float* __restrict__ gamma,\n const float* __restrict__ beta,\n int N, int C, int G, int group_size,\n float eps, float neg_slope) {\n int n = blockIdx.x;\n int lane = threadIdx.x & 31;\n int warp = threadIdx.x >> 5;\n int warps_per_block = blockDim.x >> 5;\n\n int row_base = n * C;\n float inv_m = 1.0f / (float)group_size;\n\n for (int g = warp; g < G; g += warps_per_block) {\n int c0 = g * group_size;\n float v = 0.0f;\n if (lane < group_size) {\n int c = c0 + lane;\n v = y[row_base + c] + lin_bias[c];\n }\n\n float s = warp_sum(v);\n float mean = __shfl_sync(0xffffffffu, s, 0) * inv_m;\n\n float d = (lane < group_size) ? (v - mean) : 0.0f;\n float ss = warp_sum(d * d);\n float var = __shfl_sync(0xffffffffu, ss, 0) * inv_m;\n float inv_std = rsqrtf(var + eps);\n\n if (lane < group_size) {\n int c = c0 + lane;\n float z = d * inv_std;\n z = z * gamma[c] + beta[c];\n z = (z >= 0.0f) ? z : z * neg_slope;\n y[row_base + c] = z + z;\n }\n }\n}\n\n// Generic fallback for unusual constructor arguments with large groups.\n__global__ void groupnorm_serial_kernel(float* __restrict__ y,\n const float* __restrict__ lin_bias,\n const float* __restrict__ gamma,\n const float* __restrict__ beta,\n int N, int C, int G, int group_size,\n float eps, float neg_slope) {\n int n = blockIdx.x;\n int tid = threadIdx.x;\n int row_base = n * C;\n float inv_m = 1.0f / (float)group_size;\n\n for (int g = tid; g < G; g += blockDim.x) {\n int c0 = g * group_size;\n float sum = 0.0f;\n for (int i = 0; i < group_size; ++i) {\n int c = c0 + i;\n sum += y[row_base + c] + lin_bias[c];\n }\n float mean = sum * inv_m;\n float ss = 0.0f;\n for (int i = 0; i < group_size; ++i) {\n int c = c0 + i;\n float d = (y[row_base + c] + lin_bias[c]) - mean;\n ss += d * d;\n }\n float inv_std = rsqrtf(ss * inv_m + eps);\n for (int i = 0; i < group_size; ++i) {\n int c = c0 + i;\n float z = ((y[row_base + c] + lin_bias[c]) - mean) * inv_std;\n z = z * gamma[c] + beta[c];\n z = (z >= 0.0f) ? z : z * neg_slope;\n y[row_base + c] = z + z;\n }\n }\n}\n\ntorch::Tensor post_forward(torch::Tensor y,\n torch::Tensor lin_bias,\n torch::Tensor gn_weight,\n torch::Tensor gn_bias,\n double eps,\n double negative_slope,\n int64_t num_groups) {\n TORCH_CHECK(y.is_cuda(), \"y must be a CUDA tensor\");\n TORCH_CHECK(y.scalar_type() == at::kFloat, \"only float32 is supported\");\n TORCH_CHECK(y.is_contiguous(), \"y must be contiguous\");\n\n int N = (int)y.size(0);\n int C = (int)y.size(1);\n int G = (int)num_groups;\n int group_size = C / G;\n\n float* yp = y.data_ptr<float>();\n const float* bp = lin_bias.data_ptr<float>();\n const float* gp = gn_weight.data_ptr<float>();\n const float* betap = gn_bias.data_ptr<float>();\n cudaStream_t stream = at::cuda::getCurrentCUDAStream();\n\n const int threads = 256;\n if (group_size <= 32) {\n groupnorm_warp_kernel<<<N, threads, 0, stream>>>(yp, bp, gp, betap, N, C, G, group_size,\n (float)eps, (float)negative_slope);\n } else {\n groupnorm_serial_kernel<<<N, threads, 0, stream>>>(yp, bp, gp, betap, N, C, G, group_size,\n (float)eps, (float)negative_slope);\n }\n return y;\n}\n\"\"\"\n\n_ext = load_inline(\n name=\"modelnew_linear_gn_lrelu_ext\",\n cpp_sources=_cpp_src,\n cuda_sources=_cuda_src,\n functions=[\"post_forward\"],\n extra_cflags=[\"-O3\"],\n extra_cuda_cflags=[\"-O3\"],\n with_cuda=True,\n verbose=False,\n)\n\n\nclass ModelNew(nn.Module):\n \"\"\"\n Matrix multiplication followed by fused GroupNorm + LeakyReLU + elementwise sum.\n \"\"\"\n def __init__(self, input_size, hidden_size, num_groups, eps=1e-5, negative_slope=0.01):\n super(ModelNew, self).__init__()\n self.fc = nn.Linear(input_size, hidden_size)\n self.gn = nn.GroupNorm(num_groups=num_groups, num_channels=hidden_size, eps=eps)\n self.leaky_relu = nn.LeakyReLU(negative_slope=negative_slope)\n\n def forward(self, x):\n # GEMM only; the linear bias is consumed inside the fused CUDA post-kernel.\n y = torch.mm(x, self.fc.weight.t())\n return _ext.post_forward(y, self.fc.bias, self.gn.weight, self.gn.bias,\n float(self.gn.eps), float(self.leaky_relu.negative_slope),\n int(self.gn.num_groups))\n"
}