Numpy 的 FFT 與 Intel MKL

Question

運行numpy.fft.fft(np.eye(9),norm="ortho)導致TypeError: fft() got an unexpected keyword argument 'norm' 。我正在使用 Intel MKL 運行​​ Numpy。難道是有什么東西圖書館內的鏈接有問題嗎？

Answer 1

我得到了您的聲明，可以使用以下步驟：

1. 從英特爾網站下載最新的英特爾 Python 發行版（在我的例子中，我使用的是 2022 年 4 月 3 日發布的版本）： https ://www.intel.com/content/www/us/en/developer/articles/tool/oneapi -standalone-components.html#python

2. 使用 conda 激活新的 Intel Python 環境。 例如：

conda activate "C:\Program Files (x86)\Intel\oneAPI\intelpython\python3.9"

3. 使用 pip 安裝 Intel numpy（請參閱https://pypi.org/project/intel-numpy/ ）：

pip install intel-numpy

4. 如果您在命令行中鍵入python ，您應該會看到 Intel Python 已安裝：

Python 3.9.10 (main, Mar 21 2022, 08:44:00) [MSC v.1916 64 bit (AMD64)] :: Intel Corporation on win32
Type "help", "copyright", "credits" or "license" for more information.
Intel(R) Distribution for Python is brought to you by Intel Corporation.
Please check out: https://software.intel.com/en-us/python-distribution

5. 現在，如果您import numpy並在新的行類型上輸入numpy.show_config() ，您應該會看到鏈接的 MKL 庫：

blas_mkl_info:
    libraries = ['mkl_rt']
    library_dirs = ['C:/Program Files (x86)/Intel/oneAPI/intelpython/python3.9\\Library\\lib']
    define_macros = [('SCIPY_MKL_H', None), ('HAVE_CBLAS', None)]
    include_dirs = ['C:/Program Files (x86)/Intel/oneAPI/intelpython/python3.9\\Library\\include']
blas_opt_info:
    libraries = ['mkl_rt']
    library_dirs = ['C:/Program Files (x86)/Intel/oneAPI/intelpython/python3.9\\Library\\lib']
    define_macros = [('SCIPY_MKL_H', None), ('HAVE_CBLAS', None)]
    include_dirs = ['C:/Program Files (x86)/Intel/oneAPI/intelpython/python3.9\\Library\\include']
lapack_mkl_info:
    libraries = ['mkl_rt']
    library_dirs = ['C:/Program Files (x86)/Intel/oneAPI/intelpython/python3.9\\Library\\lib']
    define_macros = [('SCIPY_MKL_H', None), ('HAVE_CBLAS', None)]
    include_dirs = ['C:/Program Files (x86)/Intel/oneAPI/intelpython/python3.9\\Library\\include']
lapack_opt_info:
    libraries = ['mkl_rt']
    library_dirs = ['C:/Program Files (x86)/Intel/oneAPI/intelpython/python3.9\\Library\\lib']
    define_macros = [('SCIPY_MKL_H', None), ('HAVE_CBLAS', None)]
    include_dirs = ['C:/Program Files (x86)/Intel/oneAPI/intelpython/python3.9\\Library\\include']
Supported SIMD extensions in this NumPy install:
    baseline = SSE,SSE2,SSE3,SSSE3,SSE41,POPCNT,SSE42
    found = AVX512_ICL
    not found =

6. 如果我運行：

fft = numpy.fft.fft(np.eye(9),norm="ortho)
print(fft)

輸出是：

[[ 0.33333333+0.j          0.33333333-0.j          0.33333333-0.j
   0.33333333-0.j          0.33333333+0.j          0.33333333-0.j
   0.33333333+0.j          0.33333333+0.j          0.33333333+0.j        ]
 [ 0.33333333+0.j          0.25534815-0.21426254j  0.05788273-0.32826925j
  -0.16666667-0.28867513j -0.31323087-0.11400671j -0.31323087+0.11400671j
  -0.16666667+0.28867513j  0.05788273+0.32826925j  0.25534815+0.21426254j]
 [ 0.33333333+0.j          0.05788273-0.32826925j -0.31323087-0.11400671j
  -0.16666667+0.28867513j  0.25534815+0.21426254j  0.25534815-0.21426254j
  -0.16666667-0.28867513j -0.31323087+0.11400671j  0.05788273+0.32826925j]
 [ 0.33333333+0.j         -0.16666667-0.28867513j -0.16666667+0.28867513j
   0.33333333-0.j         -0.16666667-0.28867513j -0.16666667+0.28867513j
   0.33333333+0.j         -0.16666667-0.28867513j -0.16666667+0.28867513j]
 [ 0.33333333+0.j         -0.31323087-0.11400671j  0.25534815+0.21426254j
  -0.16666667-0.28867513j  0.05788273+0.32826925j  0.05788273-0.32826925j
  -0.16666667+0.28867513j  0.25534815-0.21426254j -0.31323087+0.11400671j]
 [ 0.33333333+0.j         -0.31323087+0.11400671j  0.25534815-0.21426254j
  -0.16666667+0.28867513j  0.05788273-0.32826925j  0.05788273+0.32826925j
  -0.16666667-0.28867513j  0.25534815+0.21426254j -0.31323087-0.11400671j]
 [ 0.33333333+0.j         -0.16666667+0.28867513j -0.16666667-0.28867513j
   0.33333333-0.j         -0.16666667+0.28867513j -0.16666667-0.28867513j
   0.33333333+0.j         -0.16666667+0.28867513j -0.16666667-0.28867513j]
 [ 0.33333333+0.j          0.05788273+0.32826925j -0.31323087+0.11400671j
  -0.16666667-0.28867513j  0.25534815-0.21426254j  0.25534815+0.21426254j
  -0.16666667+0.28867513j -0.31323087-0.11400671j  0.05788273-0.32826925j]
 [ 0.33333333+0.j          0.25534815+0.21426254j  0.05788273+0.32826925j
  -0.16666667+0.28867513j -0.31323087+0.11400671j -0.31323087-0.11400671j
  -0.16666667-0.28867513j  0.05788273-0.32826925j  0.25534815-0.21426254j]]

希望這可以幫助。