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Challenges Digit antitranspose

Convert a matrix or grid of digits to its antitranspose. For a square matrix , this is its reflection in its antidiagonal. More generally, for a rectangular matrix, this is its reflection in its sk...

4 answers  ·  posted 2y ago by trichoplax‭  ·  last activity 2y ago by torres‭

Question code-golf number
#1: Initial revision by user avatar trichoplax‭ · 2022-11-12T23:24:50Z (about 2 years ago)
Digit antitranspose
Convert a matrix or grid of digits to its antitranspose. For a square matrix , this is its reflection in its [antidiagonal](https://en.wikipedia.org/wiki/Main_diagonal#Antidiagonal "Antidiagonal on Wikipedia"). More generally, for a rectangular matrix, this is its reflection in its [skew diagonal](https://mathworld.wolfram.com/SkewDiagonal.html "Skew diagonal on Wolfram").

Less formally, the line to reflect in is from South West to North East, at 45 degrees regardless of the proportions of the rectangle.

## Input
- A (not necessarily square) matrix or grid of single digit non-negative numbers
- This may be a matrix or any 2 dimensional data structure or a 1 dimensional data structure along with width and/or height, or a sequence of 1 dimensional data structures representing rows
- The width and height will always be at least 1 (the grid will never be empty)
- All rows will have the same length (the input will always be rectangular)
- The single digit numbers contained in this data structure may be of number types or characters or single character strings

For example, the input may be a string of numeric characters with delimiters between rows.

## Output
- The same data structure type as the input
  - This applies to every nested level: if the input is a list of strings of characters, the output must be a list of strings of characters
- Each digit in the input is moved:
  - from (x, y) to (height - y - 1, width - x - 1) (if zero indexed from top left)
  - from (x, y) to (height - y + 1, width - x + 1) (if one indexed from top left)

## Examples
In these examples input and output are represented as newline separated strings of characters. You can check that the input and output match by holding a reflective surface such as a mirror or phone screen at 45 degrees next to the input. The reflected numbers won't be upright but they will be in the same locations as the output.

### Square input
```text
012
345
678
```

### Square output
```text
852
741
630
```

### Rectangular input
```text
01
23
45
67
```

### Rectangular output
```text
7531
6420
```

## Test cases
Test cases are in the format `"input" : "output"` where the input and output are strings containing comma separated rows. For comparison, the first 2 test cases are the same as the examples shown above.

```text
"012,345,678" : "852,741,630"
"01,23,45,67" : "7531,6420"
"852,741,630" : "012,345,678"
"7531,6420" : "01,23,45,67"
"0" : "0"
"12" : "2,1"
"2,1" : "12"
"3,4" : "43"
"43" : "3,4"
"56,78" : "86,75"
"86,75" : "56,78"
"7777" : "7,7,7,7"
"7,7,7,7" : "7777"
```

> Explanations are optional, but I'm more likely to upvote answers that have one.