Merge pull request 'finish P-GELU #99' (#718) from hli28146/GPUCodeForces:h99 into main

This commit is contained in:
Kuohais 2025-12-10 20:10:29 +08:00
commit 25d03d3cc6
4 changed files with 307 additions and 0 deletions

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import torch
import torch.nn as nn
from torch.utils.cpp_extension import load_inline
import math
cpp_source = """
#include <torch/extension.h>
torch::Tensor pgelu_cuda_forward(
const torch::Tensor& input,
const torch::Tensor& alpha,
const torch::Tensor& beta);
"""
cuda_source = """
#include <torch/extension.h>
#include <cuda_runtime.h>
#include <math.h>
#define BLOCK_SIZE 256
#define PI_HALF 1.5707963267948966
#define EPS 1e-7
// double2 for 128-bit vectorization
struct __align__(16) Double2 {
double x, y;
};
// P-GELU for double
__device__ __forceinline__ double compute_pgelu_double(double x, double alpha, double beta) {
double inner = alpha * x + beta * x * x * x;
double clamped_inner = fmin(fmax(inner, -PI_HALF + EPS), PI_HALF - EPS);
return x * (1.0 + tan(clamped_inner));
}
template <typename T>
__global__ void pgelu_kernel(
T* __restrict__ output,
const T* __restrict__ input,
const int n,
T alpha,
T beta)
{
const int idx = blockIdx.x * blockDim.x + threadIdx.x;
const int vec_n = n / 2; // double2
int i = idx;
const int stride = blockDim.x * gridDim.x;
for (; i < vec_n; i += stride) {
Double2 in_vec = reinterpret_cast<const Double2*>(input)[i];
Double2 out_vec;
out_vec.x = compute_pgelu_double(in_vec.x, alpha, beta);
out_vec.y = compute_pgelu_double(in_vec.y, alpha, beta);
reinterpret_cast<Double2*>(output)[i] = out_vec;
}
int tail_idx = vec_n * 2 + idx;
if (idx == 0 && tail_idx < n) {
output[tail_idx] = compute_pgelu_double(input[tail_idx], alpha, beta);
}
}
torch::Tensor pgelu_cuda_forward(
const torch::Tensor& input,
const torch::Tensor& alpha_t,
const torch::Tensor& beta_t)
{
TORCH_CHECK(input.is_cuda(), "Input must be a CUDA tensor");
TORCH_CHECK(input.is_contiguous(), "Input must be contiguous");
const int n = input.numel();
auto output = torch::empty_like(input);
const double alpha = alpha_t.item<double>();
const double beta = beta_t.item<double>();
const int vec_n = n / 2;
const int grid_size = (vec_n + BLOCK_SIZE - 1) / BLOCK_SIZE;
int final_grid = (grid_size < 1) ? 1 : grid_size;
if (final_grid > 65535) final_grid = 65535;
AT_DISPATCH_FLOATING_TYPES(input.scalar_type(), "pgelu_kernel", ([&]{
pgelu_kernel<scalar_t><<<final_grid, BLOCK_SIZE>>>(
output.data_ptr<scalar_t>(),
input.data_ptr<scalar_t>(),
n,
static_cast<scalar_t>(alpha),
static_cast<scalar_t>(beta)
);
}));
return output;
}
"""
pgelu_op_module = load_inline(
name='pgelu_tan_op_double',
cpp_sources=cpp_source,
cuda_sources=cuda_source,
functions=['pgelu_cuda_forward'],
verbose=False,
extra_cuda_cflags=['-O3']
)
class ModelNew(nn.Module):
def __init__(self, alpha_init=1.0, beta_init=1.0):
super(ModelNew, self).__init__()
self.alpha = nn.Parameter(torch.tensor(alpha_init, dtype=torch.float64))
self.beta = nn.Parameter(torch.tensor(beta_init, dtype=torch.float64))
self.op = pgelu_op_module
def forward(self, input_tensor: torch.Tensor) -> torch.Tensor:
return self.op.pgelu_cuda_forward(input_tensor.contiguous(), self.alpha, self.beta)

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import torch
import torch.nn as nn
import math
BATCH_SIZE = 4096
HIDDEN_DIM = 4096
SHAPE = (BATCH_SIZE, HIDDEN_DIM)
ALPHA_INIT = 1.0
BETA_INIT = 1.0
DTYPE = torch.float64
class PGELU(nn.Module):
'''
P-GELU: A Novel Activation Function to Optimize Whisper for Darija Speech Translation
https://ieeexplore.ieee.org/document/11016691
Formula: f(x) = x * (1 + tan(alpha * x + beta * x^3))
'''
def __init__(self, alpha_init=1.0, beta_init=1.0):
super(PGELU, self).__init__()
self.alpha = nn.Parameter(torch.tensor(alpha_init, dtype=DTYPE))
self.beta = nn.Parameter(torch.tensor(beta_init, dtype=DTYPE))
self.pi_half = math.pi / 2.0
self.eps = 1e-7 # Epsilon for double
def forward(self, x: torch.Tensor) -> torch.Tensor:
inner = self.alpha * x + self.beta * x.pow(3)
inner_clamped = torch.clamp(inner, -self.pi_half + self.eps, self.pi_half - self.eps)
return x * (1.0 + torch.tan(inner_clamped))
class Model(nn.Module):
def __init__(self, alpha_init=1.0, beta_init=1.0):
super(Model, self).__init__()
self.act = PGELU(alpha_init, beta_init)
def forward(self, x):
return self.act(x)
def get_inputs():
input_tensor = torch.randn(SHAPE, dtype=DTYPE)
return [input_tensor.contiguous()]
def get_init_inputs():
return [ALPHA_INIT, BETA_INIT]

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Write a custom CUDA kernel to optimize `P-GELU` using `float64` (double) precision.
Formula: f(x) = x * (1 + tan(alpha * x + beta * x^3))
Problem Analysis:
1. Precision Issues with float32: The combination of a cubic polynomial and the `tan` function amplifies floating-point rounding errors.
2. Memory Bottleneck: The operation is memory-bound, now with 8 bytes per element.
3. Numerical Stability: The input to `tan` must be clamped to avoid asymptotes.
Optimization Strategy: Fused Element-wise Kernel with Double Precision
1. Data Type: All computations are performed in `double`.
2. Vectorized Loads (double2): Use `double2` to load 128 bits (2 double elements) per memory transaction.
3. Fused Stable Math (in double):
- For `x`, compute `inner = alpha * x + beta * x*x*x`.
- Clamp `inner` to stay away from `pi/2`.
- Compute `result = x * (1.0 + tan(inner))`.
- Use standard `double` precision math functions (`tan`).
4. One-Pass: Fuse all logic into a single read-compute-write kernel.
Here's an example to show you the syntax of inline embedding custom CUDA operators in torch: The example given architecture is:
```python
import torch
import torch.nn as nn
import math
BATCH_SIZE = 4096
HIDDEN_DIM = 4096
SHAPE = (BATCH_SIZE, HIDDEN_DIM)
ALPHA_INIT = 1.0
BETA_INIT = 1.0
DTYPE = torch.float64
class PGELU(nn.Module):
'''
P-GELU: A Novel Activation Function to Optimize Whisper for Darija Speech Translation
https://ieeexplore.ieee.org/document/11016691
Formula: f(x) = x * (1 + tan(alpha * x + beta * x^3))
'''
def __init__(self, alpha_init=1.0, beta_init=1.0):
super(PGELU, self).__init__()
self.alpha = nn.Parameter(torch.tensor(alpha_init, dtype=DTYPE))
self.beta = nn.Parameter(torch.tensor(beta_init, dtype=DTYPE))
self.pi_half = math.pi / 2.0
self.eps = 1e-7 # Epsilon for double
def forward(self, x: torch.Tensor) -> torch.Tensor:
inner = self.alpha * x + self.beta * x.pow(3)
inner_clamped = torch.clamp(inner, -self.pi_half + self.eps, self.pi_half - self.eps)
return x * (1.0 + torch.tan(inner_clamped))
class Model(nn.Module):
def __init__(self, alpha_init=1.0, beta_init=1.0):
super(Model, self).__init__()
self.act = PGELU(alpha_init, beta_init)
def forward(self, x):
return self.act(x)
def get_inputs():
input_tensor = torch.randn(SHAPE, dtype=DTYPE)
return [input_tensor.contiguous()]
def get_init_inputs():
return [ALPHA_INIT, BETA_INIT]

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###########################################################
# 性能和精度验证程序
###########################################################
import torch
import torch.nn as nn
import time
from PGELU_torch import Model,get_inputs,get_init_inputs
from PGELU_cuda import ModelNew
def run_benchmark():
# 检查 CUDA 是否可用
if not torch.cuda.is_available():
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。")
return
else:
device = torch.device("cuda")
# 初始化模型
init_inputs = get_init_inputs()
init_inputs = [
x.cuda(device=device) if isinstance(x, torch.Tensor) else x for x in init_inputs
]
inputs = get_inputs()
inputs = [
x.cuda(device=device) if isinstance(x, torch.Tensor) else x for x in inputs
]
torch_model = Model(*init_inputs).cuda()
cuda_model = ModelNew(*init_inputs).cuda()
torch_model.eval()
cuda_model.eval()
print("-------------------- 精度对齐验证 --------------------")
with torch.no_grad():
output_torch = torch_model( *inputs)
output_cuda = cuda_model(*inputs)
precision_flag = torch.allclose(output_torch, output_cuda,rtol=1e-03)
if precision_flag:
print("✅ 精度对齐:两个模型的输出结果非常接近。")
else:
print("❌ 精度不一致!")
print("\n-------------------- 性能加速比测试 --------------------")
num_iterations = 100
# PyTorch 模型计时
torch.cuda.synchronize()
start_time = time.time()
for _ in range(num_iterations):
_ = torch_model(*inputs)
torch.cuda.synchronize()
torch_time = (time.time() - start_time) / num_iterations
# 自定义 CUDA 内核计时
torch.cuda.synchronize()
start_time = time.time()
for _ in range(num_iterations):
_ = cuda_model(*inputs)
torch.cuda.synchronize()
cuda_time = (time.time() - start_time) / num_iterations
print(f"PyTorch torch.relu 平均执行时间: {torch_time:.6f}")
print(f"自定义 CUDA 内核 平均执行时间: {cuda_time:.6f}")
speedup = 0
if cuda_time > 0:
speedup = torch_time / cuda_time
print(f"加速比 (Speedup): {speedup:.2f}x")
else:
print("CUDA 内核执行时间为0无法计算加速比。")
return precision_flag,speedup
if __name__ == "__main__":
precision_flag,speedup = run_benchmark()