forked from ccf-ai-infra/GPUCodeForces
finish tanhexp #20
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Write a custom CUDA kernel to optimize the TanhExp activation function.
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The mathematical definition is:
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f(x) = x * tanh(exp(x))
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Problem Analysis:
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The standard PyTorch implementation involves a chain of element-wise operations: exponential, hyperbolic tangent, and multiplication.
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1. exp(x) creates an intermediate tensor.
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2. tanh(intermediate) creates another intermediate tensor.
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3. x * result creates the final output.
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This chain results in excessive global memory read/write traffic, making the operation memory-bound. Additionally, computing two transcendental functions (exp, tanh) per element creates high arithmetic pressure.
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Optimization Strategy: Fused Element-wise Kernel with Vectorized Access and Fast Math
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1. Operator Fusion: Create a single CUDA kernel that computes `x * tanh(exp(x))` in one pass. Each thread reads `x` once into a register, computes the entire mathematical expression, and writes the result back. This minimizes global memory accesses.
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2. Vectorized Memory Access: Use `float4` types to load and store 128 bits (4 floats) per instruction. This drastically improves memory bandwidth utilization and reduces instruction overhead.
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3. Grid-Stride Loop: Implement the kernel using a grid-stride loop pattern. This ensures the kernel works correctly and efficiently for input tensors of any size, decoupling the grid configuration from the specific data size.
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4. Fast Math Intrinsics: Since the kernel involves `exp` and `tanh`, utilizing fast math intrinsics (like `__expf` or compiling with `--use_fast_math`) is crucial to reduce the latency of the ALU operations, allowing them to be effectively hidden by the optimized memory access.
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Here's an example to show you the syntax of inline embedding custom CUDA operators in torch: The example given architecture is:
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```python
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import torch
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import torch.nn as nn
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BATCH_SIZE = 4096
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DIM = 4096
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SHAPE = (BATCH_SIZE, DIM)
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class TanhExp(nn.Module):
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"""
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公式: f(x) = x * tanh(e^x)
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"""
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def __init__(self):
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super(TanhExp, self).__init__()
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def forward(self, x: torch.Tensor) -> torch.Tensor:
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return x * torch.tanh(torch.exp(x))
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class Model(nn.Module):
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def __init__(self):
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super(Model, self).__init__()
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self.act = TanhExp()
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def forward(self, x: torch.Tensor) -> torch.Tensor:
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return self.act(x)
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def get_inputs():
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x = torch.randn(SHAPE, dtype=torch.float32)
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return [x.contiguous()]
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def get_init_inputs():
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return []
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###########################################################
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# 性能和精度验证程序
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###########################################################
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import torch
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import torch.nn as nn
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import time
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from tanhexp_torch import Model,get_inputs,get_init_inputs
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from tanhexp_cuda import ModelNew
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def run_benchmark():
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# 检查 CUDA 是否可用
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if not torch.cuda.is_available():
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print("CUDA 不可用,请确保您有可用的 NVIDIA GPU 并已正确安装 PyTorch CUDA 版本。")
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return
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else:
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device = torch.device("cuda")
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# 初始化模型
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init_inputs = get_init_inputs()
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init_inputs = [
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x.cuda(device=device) if isinstance(x, torch.Tensor) else x for x in init_inputs
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]
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inputs = get_inputs()
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inputs = [
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x.cuda(device=device) if isinstance(x, torch.Tensor) else x for x in inputs
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]
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torch_model = Model(*init_inputs).cuda()
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cuda_model = ModelNew(*init_inputs).cuda()
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torch_model.eval()
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cuda_model.eval()
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print("-------------------- 精度对齐验证 --------------------")
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with torch.no_grad():
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output_torch = torch_model( *inputs)
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output_cuda = cuda_model(*inputs)
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precision_flag = torch.allclose(output_torch, output_cuda,rtol=1e-03)
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if precision_flag:
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print("✅ 精度对齐:两个模型的输出结果非常接近。")
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else:
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print("❌ 精度不一致!")
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print("\n-------------------- 性能加速比测试 --------------------")
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num_iterations = 100
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# PyTorch 模型计时
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torch.cuda.synchronize()
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start_time = time.time()
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for _ in range(num_iterations):
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_ = torch_model(*inputs)
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torch.cuda.synchronize()
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torch_time = (time.time() - start_time) / num_iterations
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# 自定义 CUDA 内核计时
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torch.cuda.synchronize()
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start_time = time.time()
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for _ in range(num_iterations):
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_ = cuda_model(*inputs)
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torch.cuda.synchronize()
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cuda_time = (time.time() - start_time) / num_iterations
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print(f"PyTorch torch.relu 平均执行时间: {torch_time:.6f} 秒")
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print(f"自定义 CUDA 内核 平均执行时间: {cuda_time:.6f} 秒")
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speedup = 0
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if cuda_time > 0:
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speedup = torch_time / cuda_time
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print(f"加速比 (Speedup): {speedup:.2f}x")
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else:
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print("CUDA 内核执行时间为0,无法计算加速比。")
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return precision_flag,speedup
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if __name__ == "__main__":
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precision_flag,speedup = run_benchmark()
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import torch
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import torch.nn as nn
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from torch.utils.cpp_extension import load_inline
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cpp_source = """
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#include <torch/extension.h>
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torch::Tensor tanhexp_cuda_forward(const torch::Tensor& input);
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"""
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cuda_source = """
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#include <torch/extension.h>
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#include <cuda_runtime.h>
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#include <math.h>
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struct __align__(16) Float4 {
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float x, y, z, w;
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};
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// 计算 TanhExp: x * tanh(exp(x))
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__device__ __forceinline__ float tanhexp_op(float x) {
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// 标准 expf/tanhf 能妥善处理 inf
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return x * tanhf(expf(x));
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}
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__global__ void tanhexp_kernel(
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const float* __restrict__ input,
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float* __restrict__ output,
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const int n_elements)
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{
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int idx = blockIdx.x * blockDim.x + threadIdx.x;
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int stride = blockDim.x * gridDim.x;
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// 1. 向量化处理循环 (每次处理 4 个 float)
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int vec_loops = n_elements / 4;
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const Float4* vec_input = reinterpret_cast<const Float4*>(input);
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Float4* vec_output = reinterpret_cast<Float4*>(output);
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for (int i = idx; i < vec_loops; i += stride) {
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Float4 in_val = vec_input[i];
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Float4 out_val;
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out_val.x = tanhexp_op(in_val.x);
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out_val.y = tanhexp_op(in_val.y);
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out_val.z = tanhexp_op(in_val.z);
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out_val.w = tanhexp_op(in_val.w);
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vec_output[i] = out_val;
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}
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// 2. 处理尾部剩余元素 (非 4 对齐的部分)
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int tail_start = vec_loops * 4;
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for (int i = tail_start + idx; i < n_elements; i += stride) {
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output[i] = tanhexp_op(input[i]);
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}
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}
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torch::Tensor tanhexp_cuda_forward(const torch::Tensor& input) {
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TORCH_CHECK(input.is_cuda(), "Input tensor must be a CUDA tensor");
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TORCH_CHECK(input.is_contiguous(), "Input tensor must be contiguous");
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auto output = torch::empty_like(input);
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const int n_elements = input.numel();
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const int block_size = 256;
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int grid_size = (n_elements + block_size * 4 - 1) / (block_size * 4);
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if (grid_size > 65535) grid_size = 65535;
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tanhexp_kernel<<<grid_size, block_size>>>(
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input.data_ptr<float>(),
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output.data_ptr<float>(),
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n_elements
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);
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return output;
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}
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"""
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tanhexp_op = load_inline(
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name='tanhexp_op',
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cpp_sources=cpp_source,
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cuda_sources=cuda_source,
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functions=['tanhexp_cuda_forward'],
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verbose=False,
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extra_cuda_cflags=['-O3', '--use_fast_math']
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)
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class TanhExpNew(nn.Module):
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def __init__(self):
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super(TanhExpNew, self).__init__()
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def forward(self, x: torch.Tensor) -> torch.Tensor:
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return tanhexp_op.tanhexp_cuda_forward(x)
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class ModelNew(nn.Module):
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def __init__(self):
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super(ModelNew, self).__init__()
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self.act = TanhExpNew()
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def forward(self, x: torch.Tensor) -> torch.Tensor:
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return self.act(x)
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import torch
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import torch.nn as nn
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BATCH_SIZE = 4096
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DIM = 4096
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SHAPE = (BATCH_SIZE, DIM)
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class TanhExp(nn.Module):
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"""
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公式: f(x) = x * tanh(e^x)
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"""
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def __init__(self):
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super(TanhExp, self).__init__()
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def forward(self, x: torch.Tensor) -> torch.Tensor:
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return x * torch.tanh(torch.exp(x))
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class Model(nn.Module):
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def __init__(self):
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super(Model, self).__init__()
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self.act = TanhExp()
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def forward(self, x: torch.Tensor) -> torch.Tensor:
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return self.act(x)
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def get_inputs():
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x = torch.randn(SHAPE, dtype=torch.float32)
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return [x.contiguous()]
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def get_init_inputs():
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return []
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