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|
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| """ | |
| # test steps | |
| # download a.txt, b.txt, mm.py to same dir | |
| virtualenv -p3 venv | |
| source venv/bin/activate | |
| pip install torch --index-url https://download.pytorch.org/whl/cpu | |
| pip install numpy | |
| python mm.py | |
| # test result on n2 | |
| numpy-fp32-truth: 0.288874 | |
| torch-bf16-matmul: 0.054688 | |
| torch-bf16-sdot: 0.289062 | |
| """ | |
| import numpy as np | |
| import torch | |
| torch.set_num_threads(1) | |
| torch.set_num_interop_threads(1) | |
| # Matrix A Matrix B (Transposed) Matrix C | |
| # (1 x 4096) (4096 x 12) (1 x 12) | |
| # | |
| # [ || | ] +-- print c[11] | |
| # [ || | ] | | |
| # [ || | ] v | |
| # [ ------------ ] @ [ || ... | ] = [ * * * * * * * ] | |
| # \ 4096 / [ || | ] \ 12 / | |
| # [ || | ] | |
| # [ || | ] | |
| # \ / | |
| # 12 cols | |
| # load matrix from file, each line contains 4096 values separated by comma | |
| def load_matrix(filename): | |
| with open(filename, 'r') as f: | |
| rows = [] | |
| for line in f: | |
| values = [float(x) for x in line.split(',')] | |
| rows.append(values) | |
| return torch.tensor(rows, dtype=torch.float32) | |
| a = load_matrix('a.txt').flatten() # shape: [4096] | |
| b = load_matrix('b.txt') # shape: [12, 4096] | |
| # compute true value with numpy, print c[11] | |
| a_np = a.numpy() | |
| b_np = b.numpy() | |
| c_numpy = np.dot(a_np, b_np.T) # shape: [12] | |
| print(f"numpy-fp32-truth: {c_numpy[11]:.6f}") | |
| # convert to bfloat16 | |
| a_bf16 = a.to(torch.bfloat16) | |
| b_bf16 = b.to(torch.bfloat16) | |
| # compute by torch matmul, print c[11] | |
| # observed big gap from truth value | |
| c_torch_mm = torch.matmul(a_bf16, b_bf16.T) # shape: [12] | |
| print(f"torch-bf16-matmul: {c_torch_mm[11].item():.6f}") | |
| # compute by torch matmul again, but only pick last column of b.T | |
| # theoretically same as above, but result is close to truth | |
| c_torch_sdot = torch.matmul(a_bf16, b_bf16[11]) # shape: scalar | |
| print(f"torch-bf16-sdot: {c_torch_sdot.item():.6f}") |
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