Question

声明每行为[1,2,3,...,999]的999x999 numpy矩阵的简短可读方法是什么？最终矩阵应为：

[[1,2,3,...,999]
[1,2,3,...,999]
...
[1,2,3,...,999]]

Answer 1

您可以使用numpy.tile：

import numpy as np

res = np.tile(range(10), (5, 1))

print(res)

array([[0, 1, 2, 3, 4, 5, 6, 7, 8, 9],
       [0, 1, 2, 3, 4, 5, 6, 7, 8, 9],
       [0, 1, 2, 3, 4, 5, 6, 7, 8, 9],
       [0, 1, 2, 3, 4, 5, 6, 7, 8, 9],
       [0, 1, 2, 3, 4, 5, 6, 7, 8, 9]])

或者，您可以添加一个零数组：

res = np.zeros((5, 10)) + range(10)

Answer 2

@jpp答案很优雅，但以下解决方案更有效：

res = np.empty((nrows, ncols))
res[:, :] = np.arange(ncols)

时间：

%timeit a = np.empty((1000,1000)); a[:, :] = np.arange(1000)
445 µs ± 9.08 µs per loop (mean ± std. dev. of 7 runs, 1000 loops each)

%timeit np.tile(range(1000), (1000, 1))
1.43 ms ± 15.6 µs per loop (mean ± std. dev. of 7 runs, 1000 loops each)

其他计时测试：

在@jpp注释之后，我直接添加了另外一个在Python解释器中完成的测试（与在Jupyter笔记本中运行的原始测试不同-因为它当时已启动并运行）：

>>> import sys
>>> print(sys.version)
3.6.5 |Anaconda, Inc.| (default, Apr 26 2018, 08:42:37) 
[GCC 4.2.1 Compatible Clang 4.0.1 (tags/RELEASE_401/final)]
>>> import numpy as np
>>> print(np.__version__)
1.13.3
>>> import timeit
>>> t = timeit.repeat('res = np.empty((nrows, ncols)); res[:, :] = np.arange(ncols)', setup='import numpy as np; nrows=ncols=1000', number=100, repeat=50)
>>> print(min(t), max(t), np.mean(t), np.std(t))
0.04336756598786451 0.053294404002372175 0.0459639201409 0.00240180447219
>>> t = timeit.repeat('res = np.tile(range(ncols), (nrows, 1))', setup='import numpy as np; nrows=ncols=1000', number=100, repeat=50)
>>> print(min(t), max(t), np.mean(t), np.std(t))
0.05032560401014052 0.05859642301220447 0.0530669655403 0.00225117881195

numpy 1.14.5的结果实际上是相同的：

>>> import sys
>>> print(sys.version)
3.6.6 |Anaconda, Inc.| (default, Jun 28 2018, 11:07:29) 
[GCC 4.2.1 Compatible Clang 4.0.1 (tags/RELEASE_401/final)]
>>> import numpy as np
>>> print(np.__version__)
1.14.5
>>> import timeit
>>> t = timeit.repeat('res = np.empty((nrows, ncols)); res[:, :] = np.arange(ncols)', setup='import numpy as np; nrows=ncols=1000', number=100, repeat=50)
>>> print(min(t), max(t), np.mean(t), np.std(t))
0.04360878499574028 0.05562149798788596 0.04657964294136036 0.0025253372244474614
>>> t = timeit.repeat('res = np.tile(range(ncols), (nrows, 1))', setup='import numpy as np; nrows=ncols=1000', number=100, repeat=50)
>>> print(min(t), max(t), np.mean(t), np.std(t))
0.05024543400213588 0.06169128899637144 0.05339125283906469 0.00276210097759817

声明numpy矩阵的简便方法

2 个答案: