forked from ccf-ai-infra/GPUCodeForces
finish conj_physical #36
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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 conj_physical_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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struct __align__(16) Float4 {
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float x, y, z, w; // R1, I1, R2, I2
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};
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struct __align__(8) Float2 {
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float x, y; // R, I
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};
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// Core logic: z = x + iy -> z* = x - iy
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// We manipulate raw floats to avoid complex class overhead
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__global__ void conj_physical_kernel(
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const float* __restrict__ input,
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float* __restrict__ output,
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const int n_complex_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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int vec_loops = n_complex_elements / 2;
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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 val = vec_input[i];
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// Logical layout: x=Real1, y=Imag1, z=Real2, w=Imag2
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// Operation: Negate Imag parts
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val.y = -val.y;
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val.w = -val.w;
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vec_output[i] = val;
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}
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// Only happens if n_complex_elements is odd
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int tail_idx = vec_loops * 2;
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// We switch to Float2 pointer to access single complex elements
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const Float2* scalar_input = reinterpret_cast<const Float2*>(input);
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Float2* scalar_output = reinterpret_cast<Float2*>(output);
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// Standard grid stride logic applied to the tail part
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// Though usually this loop runs at most once per thread if aligned
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for (int i = tail_idx + idx; i < n_complex_elements; i += stride) {
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Float2 val = scalar_input[i];
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val.y = -val.y; // Negate Imag
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scalar_output[i] = val;
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}
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}
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torch::Tensor conj_physical_cuda_forward(const torch::Tensor& input) {
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TORCH_CHECK(input.is_cuda(), "Input must be a CUDA tensor");
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TORCH_CHECK(input.is_contiguous(), "Input must be contiguous");
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TORCH_CHECK(input.scalar_type() == torch::kComplexFloat, "Input must be ComplexFloat (complex64)");
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int n_elements = input.numel();
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auto output = torch::empty_like(input);
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const int block_size = 256;
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// Each thread handles 2 elements ideally
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int num_vectors = (n_elements + 1) / 2;
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int grid_size = (num_vectors + block_size - 1) / block_size;
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if (grid_size > 65535) grid_size = 65535;
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conj_physical_kernel<<<grid_size, block_size>>>(
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reinterpret_cast<float*>(input.data_ptr<c10::complex<float>>()),
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reinterpret_cast<float*>(output.data_ptr<c10::complex<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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conj_op = load_inline(
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name='conj_physical_op',
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cpp_sources=cpp_source,
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cuda_sources=cuda_source,
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functions=['conj_physical_cuda_forward'],
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verbose=False,
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extra_cuda_cflags=['-O3']
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)
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class ConjNew(nn.Module):
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def __init__(self):
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super(ConjNew, self).__init__()
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def forward(self, x: torch.Tensor) -> torch.Tensor:
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return conj_op.conj_physical_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 = ConjNew()
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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 ConjPhysicalModel(nn.Module):
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def __init__(self):
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super(ConjPhysicalModel, self).__init__()
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def forward(self, x: torch.Tensor) -> torch.Tensor:
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return torch.conj_physical(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 = ConjPhysicalModel()
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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.complex64)
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return [x.contiguous()]
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def get_init_inputs():
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return []
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Write a custom CUDA kernel to optimize `torch.conj_physical` for complex tensors.
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The operation computes the element-wise conjugate of a complex tensor. For z = x + iy, conj_physical(z) = x - iy. It explicitly materializes the result in memory.
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Problem Analysis:
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This is a strictly memory-bound operation.
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1. Data Layout: `complex64` stores data as contiguous pairs of floats [Real, Imag].
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2. Computation: The only arithmetic operation is negating the imaginary part.
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3. Bottleneck: The performance is strictly limited by Global Memory bandwidth.
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Optimization Strategy: Vectorized Access (2x Complex Elements per Thread)
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1. Vectorized I/O (Float4):
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- A single `complex64` is 8 bytes (2 floats).
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- Using `float4` (16 bytes) allows a single thread to load/store **two** complex numbers at once.
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- Layout loaded into registers: `x`=Real1, `y`=Imag1, `z`=Real2, `w`=Imag2.
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2. In-Register Computation:
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- Negate the `y` and `w` components (the imaginary parts).
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- Store the modified `float4` back to global memory.
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3. Grid-Stride Loop: Implement a robust grid-stride loop to handle arbitrary tensor sizes, processing 2 complex elements per iteration in the vectorized loop, and handling remainders with a scalar loop.
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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 ConjPhysicalModel(nn.Module):
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def __init__(self):
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super(ConjPhysicalModel, self).__init__()
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def forward(self, x: torch.Tensor) -> torch.Tensor:
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return torch.conj_physical(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 = ConjPhysicalModel()
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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.complex64)
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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 conjphysical_torch import Model,get_inputs,get_init_inputs
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from conjphysical_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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