# 官方文件描述
numpy.ndarray.transpose
ndarray.transpose(*axes)
returns a view of
the array with axes transposed.
for a
1-d array, this has no effect. (to change between column and row vectors, first cast the
1-d array into
a matrix object.) # transpose 對一維陣列無效
for a
2-d array, this is the usual matrix transpose. for an n-d array, if axes are given, their order indicates how the axes are permuted (see examples). if axes are not provided and
a.shape = (i[0], i[1], ... i[n-2], i[n-1]), then
a.transpose().shape = (i[n-1], i[n-2], ... i[1], i[0]).
# 對二維陣列，其實就相當於矩陣的轉置
parameters:
axes : none, tuple of ints, or n ints
none or no argument: reverses the order of
the axes.
tuple of ints: i in
the j-th place in
the tuple means a『s i-th axis becomes a.transpose()『s j-th axis.
n ints: same as
an n-tuple of
the same ints (this form is intended simply as
a 「convenience」 alternative to
the tuple form)
returns:
out : ndarray
view of
a, with axes suitably permuted.
see also
ndarray.t
array property returning the array transposed.
examples
>>>
>>> a = np.array([[1, 2], [3, 4]])
>>> a
array([[1, 2],
[3, 4]])
>>> a.transpose()
array([[1, 3],
[2, 4]])
>>> a.transpose((1, 0))
array([[1, 3],
[2, 4]])
>>> a.transpose(1, 0)
array([[1, 3],
[2, 4]])
shape 的 x軸 與 y 軸的轉換比較簡單， 跟二維陣列一樣
in [27]: arr.transpose((0, 2, 1))
out[27]:
array([[[ 0, 4],
[ 1, 5],
[ 2, 6],
[ 3, 7]],
[[ 8, 12],
[ 9, 13],
[10, 14],
[11, 15]]])
in [40]: arr = np.arange(16).reshape((2, 2, 4))
in [41]: arr
out[41]:
array([[[ 0, 1, 2, 3],
[ 4, 5, 6, 7]],
[[ 8, 9, 10, 11],
[12, 13, 14, 15]]])
in [42]: arr.transpose((1, 0, 2))
out[42]:
array([[[ 0, 1, 2, 3],
[ 8, 9, 10, 11]],
[[ 4, 5, 6, 7],
[12, 13, 14, 15]]])
轉換前 shape 是(0, 1, 2)
[[(0,0,0), (0,0,1), (0,0,2), (0,0,3)] ／／ [[[ 0, 1, 2, 3],
[(0,1,0), (0,1,1), (0,1,2), (0,1,3)], ／／ [ 4, 5, 6, 7]],
[(1,0,0), (1,0,1), (1,0,2), (1,0,3)] ／／ [[ 8, 9, 10, 11],
[(1,1,0), (1,1,1), (1,1,2), (1,1,3)]]. ／／[12, 13, 14, 15]]]
轉換後 shape 是(1, 0, 2), 也就是調換位於 z 軸 和 x 軸的shape
[[(0,0,0), (0,0,1), (0,0,2), (0,0,3)]
(1,0,0), (1,0,1), (1,0,2), (1,0,3)],
[(0,1,0), (0,1,1), (0,1,2), (0,1,3)]
[(1,1,0), (1,1,1), (1,1,2), (1,1,3)]]
將轉換前 shape 對應的值填進去 得到
[1,2,3,4]
[8,9,10,11]
[4,5,6,7]
[12,13,14,15]
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