forked from ccf-ai-infra/GPUCodeForces
Merge pull request 'finish P-GELU #99' (#718) from hli28146/GPUCodeForces:h99 into main
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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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import math
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cpp_source = """
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#include <torch/extension.h>
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torch::Tensor pgelu_cuda_forward(
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const torch::Tensor& input,
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const torch::Tensor& alpha,
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const torch::Tensor& beta);
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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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#define BLOCK_SIZE 256
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#define PI_HALF 1.5707963267948966
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#define EPS 1e-7
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// double2 for 128-bit vectorization
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struct __align__(16) Double2 {
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double x, y;
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};
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// P-GELU for double
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__device__ __forceinline__ double compute_pgelu_double(double x, double alpha, double beta) {
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double inner = alpha * x + beta * x * x * x;
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double clamped_inner = fmin(fmax(inner, -PI_HALF + EPS), PI_HALF - EPS);
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return x * (1.0 + tan(clamped_inner));
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}
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template <typename T>
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__global__ void pgelu_kernel(
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T* __restrict__ output,
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const T* __restrict__ input,
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const int n,
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T alpha,
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T beta)
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{
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const int idx = blockIdx.x * blockDim.x + threadIdx.x;
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const int vec_n = n / 2; // double2
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int i = idx;
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const int stride = blockDim.x * gridDim.x;
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for (; i < vec_n; i += stride) {
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Double2 in_vec = reinterpret_cast<const Double2*>(input)[i];
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Double2 out_vec;
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out_vec.x = compute_pgelu_double(in_vec.x, alpha, beta);
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out_vec.y = compute_pgelu_double(in_vec.y, alpha, beta);
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reinterpret_cast<Double2*>(output)[i] = out_vec;
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}
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int tail_idx = vec_n * 2 + idx;
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if (idx == 0 && tail_idx < n) {
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output[tail_idx] = compute_pgelu_double(input[tail_idx], alpha, beta);
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}
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}
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torch::Tensor pgelu_cuda_forward(
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const torch::Tensor& input,
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const torch::Tensor& alpha_t,
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const torch::Tensor& beta_t)
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{
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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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const int n = input.numel();
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auto output = torch::empty_like(input);
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const double alpha = alpha_t.item<double>();
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const double beta = beta_t.item<double>();
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const int vec_n = n / 2;
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const int grid_size = (vec_n + BLOCK_SIZE - 1) / BLOCK_SIZE;
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int final_grid = (grid_size < 1) ? 1 : grid_size;
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if (final_grid > 65535) final_grid = 65535;
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AT_DISPATCH_FLOATING_TYPES(input.scalar_type(), "pgelu_kernel", ([&]{
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pgelu_kernel<scalar_t><<<final_grid, BLOCK_SIZE>>>(
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output.data_ptr<scalar_t>(),
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input.data_ptr<scalar_t>(),
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n,
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static_cast<scalar_t>(alpha),
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static_cast<scalar_t>(beta)
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);
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}));
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return output;
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}
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"""
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pgelu_op_module = load_inline(
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name='pgelu_tan_op_double',
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cpp_sources=cpp_source,
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cuda_sources=cuda_source,
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functions=['pgelu_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 ModelNew(nn.Module):
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def __init__(self, alpha_init=1.0, beta_init=1.0):
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super(ModelNew, self).__init__()
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self.alpha = nn.Parameter(torch.tensor(alpha_init, dtype=torch.float64))
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self.beta = nn.Parameter(torch.tensor(beta_init, dtype=torch.float64))
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self.op = pgelu_op_module
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def forward(self, input_tensor: torch.Tensor) -> torch.Tensor:
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return self.op.pgelu_cuda_forward(input_tensor.contiguous(), self.alpha, self.beta)
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import torch
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import torch.nn as nn
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import math
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BATCH_SIZE = 4096
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HIDDEN_DIM = 4096
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SHAPE = (BATCH_SIZE, HIDDEN_DIM)
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ALPHA_INIT = 1.0
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BETA_INIT = 1.0
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DTYPE = torch.float64
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class PGELU(nn.Module):
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'''
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P-GELU: A Novel Activation Function to Optimize Whisper for Darija Speech Translation
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https://ieeexplore.ieee.org/document/11016691
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Formula: f(x) = x * (1 + tan(alpha * x + beta * x^3))
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'''
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def __init__(self, alpha_init=1.0, beta_init=1.0):
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super(PGELU, self).__init__()
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self.alpha = nn.Parameter(torch.tensor(alpha_init, dtype=DTYPE))
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self.beta = nn.Parameter(torch.tensor(beta_init, dtype=DTYPE))
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self.pi_half = math.pi / 2.0
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self.eps = 1e-7 # Epsilon for double
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def forward(self, x: torch.Tensor) -> torch.Tensor:
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inner = self.alpha * x + self.beta * x.pow(3)
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inner_clamped = torch.clamp(inner, -self.pi_half + self.eps, self.pi_half - self.eps)
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return x * (1.0 + torch.tan(inner_clamped))
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class Model(nn.Module):
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def __init__(self, alpha_init=1.0, beta_init=1.0):
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super(Model, self).__init__()
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self.act = PGELU(alpha_init, beta_init)
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def forward(self, x):
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return self.act(x)
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def get_inputs():
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input_tensor = torch.randn(SHAPE, dtype=DTYPE)
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return [input_tensor.contiguous()]
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def get_init_inputs():
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return [ALPHA_INIT, BETA_INIT]
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Write a custom CUDA kernel to optimize `P-GELU` using `float64` (double) precision.
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Formula: f(x) = x * (1 + tan(alpha * x + beta * x^3))
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Problem Analysis:
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1. Precision Issues with float32: The combination of a cubic polynomial and the `tan` function amplifies floating-point rounding errors.
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2. Memory Bottleneck: The operation is memory-bound, now with 8 bytes per element.
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3. Numerical Stability: The input to `tan` must be clamped to avoid asymptotes.
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Optimization Strategy: Fused Element-wise Kernel with Double Precision
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1. Data Type: All computations are performed in `double`.
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2. Vectorized Loads (double2): Use `double2` to load 128 bits (2 double elements) per memory transaction.
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3. Fused Stable Math (in double):
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- For `x`, compute `inner = alpha * x + beta * x*x*x`.
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- Clamp `inner` to stay away from `pi/2`.
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- Compute `result = x * (1.0 + tan(inner))`.
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- Use standard `double` precision math functions (`tan`).
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4. One-Pass: Fuse all logic into a single read-compute-write kernel.
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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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import math
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BATCH_SIZE = 4096
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HIDDEN_DIM = 4096
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SHAPE = (BATCH_SIZE, HIDDEN_DIM)
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ALPHA_INIT = 1.0
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BETA_INIT = 1.0
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DTYPE = torch.float64
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class PGELU(nn.Module):
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'''
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P-GELU: A Novel Activation Function to Optimize Whisper for Darija Speech Translation
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https://ieeexplore.ieee.org/document/11016691
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Formula: f(x) = x * (1 + tan(alpha * x + beta * x^3))
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'''
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def __init__(self, alpha_init=1.0, beta_init=1.0):
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super(PGELU, self).__init__()
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self.alpha = nn.Parameter(torch.tensor(alpha_init, dtype=DTYPE))
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self.beta = nn.Parameter(torch.tensor(beta_init, dtype=DTYPE))
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self.pi_half = math.pi / 2.0
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self.eps = 1e-7 # Epsilon for double
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def forward(self, x: torch.Tensor) -> torch.Tensor:
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inner = self.alpha * x + self.beta * x.pow(3)
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inner_clamped = torch.clamp(inner, -self.pi_half + self.eps, self.pi_half - self.eps)
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return x * (1.0 + torch.tan(inner_clamped))
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class Model(nn.Module):
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def __init__(self, alpha_init=1.0, beta_init=1.0):
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super(Model, self).__init__()
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self.act = PGELU(alpha_init, beta_init)
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def forward(self, x):
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return self.act(x)
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def get_inputs():
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input_tensor = torch.randn(SHAPE, dtype=DTYPE)
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return [input_tensor.contiguous()]
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def get_init_inputs():
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return [ALPHA_INIT, BETA_INIT]
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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 PGELU_torch import Model,get_inputs,get_init_inputs
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from PGELU_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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