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• So I have this code now, and in input I have in ascending order my name's letters 'ahimrsu'. I need to show up the right number for 'mariush' from all combinations which should to be 2170.

Permute[expr,perm]

permutes the positions of the elements of expr according to the permutation perm.

Permute[expr,gr]

returns the list of permuted forms of expr under the elements of the permutation group gr.

• Permute works with any nonatomic expressions, operating on the first level of expressions.
• Permute reorders the elements of an expression but never changes its length.
• The permutation perm can be given in disjoint cyclic form or as a permutation list.
• When perm is given in cyclic form Cycles[{cyc₁,cyc₂,…}], a cycle {p₁,p₂,…} moves the elements of expr in a cyclic manner so that expr[[p_i]] is moved to position p_i+1.
• When perm is given as a permutation list, the result is equivalent to the use of Permute[expr,PermutationCycles[perm]].
• A permutation group gr can be specified by generators, with head PermutationGroup, or in named form, with head SymmetricGroup, AlternatingGroup, ….

Basic Examples(3)

Cyclic permutation of three elements in a list:

Take the lowercase alphabet:

Exchange the first and last character:

Permute several characters:

Permute an expression under all elements of a group:

Scope(3)

Permute the parts of an expression:

Permute the parts of an expression under all elements of a group:

Give a permutation in list form. The length of the expression does not change:

Applications(1)

The eight possible rotations and reflections of a square:

Properties & Relations(5)

Permute never changes the number of parts of an expression. It simply reorders them:

However, Part can change the number of parts:

When applied to the identity permutation list, Permute is the inverse of PermutationReplace:

Permute can also be used as an alternative to PermutationList:

Another way of inverting the action of Permute is using FindPermutation:

When all parts of the expression are different, the permutation can be uniquely recovered:

Permute is a right action with respect to the product of permutations:

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1 先看看官方中英文doc：

1.1 permute(dims)

将tensor的维度换位。

参数： - __dims__ (int ..*) - 换位顺序

例：

1.2 permute(*dims) → Tensor

Permute the dimensions of this tensor.

Parameters： *dims (int...) – The desired ordering of dimensions

Example：

2 pytorch permute的使用

permute函数功能还是比较简单的，下面主要介绍几个细节点：

2.1 transpose与permute的异同

Tensor.permute(a,b,c,d, ...)：permute函数可以对任意高维矩阵进行转置，但没有 torch.permute() 这个调用方式， 只能 Tensor.permute()：

torch.transpose(Tensor, a,b)：transpose只能操作2D矩阵的转置，有两种调用方式；

另：连续使用transpose也可实现permute的效果：

从以上操作中可知，permute相当于可以同时操作于tensor的若干维度，transpose只能同时作用于tensor的两个维度；

2.2 permute函数与contiguous、view函数之关联

Permute 2 2 2 2 Player Games

contiguous：view只能作用在contiguous的variable上，如果在view之前调用了transpose、permute等，就需要调用contiguous()来返回一个contiguous copy；

一种可能的解释是：有些tensor并不是占用一整块内存，而是由不同的数据块组成，而tensor的view()操作依赖于内存是整块的，这时只需要执行contiguous()这个函数，把tensor变成在内存中连续分布的形式；

判断ternsor是否为contiguous，可以调用torch.Tensor.is_contiguous()函数:

另：在pytorch的最新版本0.4版本中，增加了torch.reshape()，与 numpy.reshape() 的功能类似，大致相当于 tensor.contiguous().view()，这样就省去了对tensor做view()变换前，调用contiguous()的麻烦；

3 permute与view函数功能demo

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利用函数 permute(2,0,1) 可以把 Tensor([[[1,2,3],[4,5,6]]]) 转换成：

如果使用view(1,3,2) 可以得到：

5 参考

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