Transpose

Versioned name: Transpose-1

Category: Data movement

Short description: Transpose operation reorders the input tensor dimensions.

Detailed description: Transpose operation reorders the input tensor dimensions. Source indexes and destination indexes are bound by the formula:

\[\begin{split}[output[i(order[0]), i(order[1]), ..., i(order[N-1])] = input[i(0), i(1), ..., i(N-1)]\\ \quad \textrm{where} \quad i(j) \quad\textrm{is in the range} \quad [0, (input.shape[j]-1)]\end{split}\]

Attributes: Transpose operation has no attributes.

Inputs:

• 1: arg - the tensor to be transposed. A tensor of type T and arbitrary shape. Required.

• 2: input_order - the permutation to apply to the axes of the first input shape. A 1D tensor of n elements T_AXIS type and shape [n], where n is the rank of the first input or 0. The tensor’s value must contain every integer in the range [0, n-1], but if an empty tensor is specified (shape [0]), then the axes will be inverted. Required.

Outputs:

• 1: A tensor of type T and transposed shape according to the rules specified above.

Types

• T: any supported type.

• T_AXIS: any integer type.

Examples

Example 1

 <layer ... type="Transpose">
     <input>
         <port id="0">
             <dim>2</dim>
             <dim>3</dim>
             <dim>4</dim>
         </port>
         <port id="1">
             <dim>3</dim>  <!-- [2, 0, 1] -->
         </port>
     </input>
     <output>
         <port id="2">
             <dim>4</dim>
             <dim>2</dim>
             <dim>3</dim>
         </port>
     </output>
 </layer>

Example 2: input_order = empty 1D tensor of Shape[0]

 <layer ... type="Transpose">
     <input>
         <port id="0">
             <dim>2</dim>
             <dim>3</dim>
             <dim>4</dim>
         </port>
         <port id="1">
             <dim>0</dim> <!-- input_order is an empty 1D tensor -->
         </port>
     </input>
     <output>
         <port id="2">
             <dim>4</dim>
             <dim>3</dim>
             <dim>2</dim>
         </port>
     </output>
 </layer>