I have Table A, which I have to transform into Table B:
| Table A | Table B | Difference |
|---|---|---|
| -8.00 | 0.00 | (+8) |
| -7.00 | 1.00 | (+8) |
| -6.00 | 2.00 | (+8) |
| -5.00 | 3.00 | (+8) |
| -4.00 | 4.00 | (+8) |
| -3.00 | 3.00 | (+6) |
| -2.00 | 2.00 | (+4) |
| -1.00 | 1.00 | (+2) |
| 0.00 | 0.00 | (0) |
| 1.00 | -1.00 | (-2) |
| 2.00 | -2.00 | (-4) |
| 3.00 | -3.00 | (-6) |
| 4.00 | -4.00 | (-8) |
| 5.00 | -3.00 | (-8) |
| 6.00 | -2.00 | (-8) |
| 7.00 | -1.00 | (-8) |
| 8.00 | 0.00 | (-8) |
Table A is a round robin between -8 and 8, with a step of 0.01 or smaller (same for Table B).
Table B is a round robin between -4 and 4, starting from 0.
The cycles look similar to the following animation (the minor cycle runs twice during one run of the major cycle): https://www.purdue.edu/freeform/me274/wp-content/uploads/sites/15/2021/11/H4A_16.gif
What formula can I use to make that transformation?
The function is $$x + |x - 4| - |x + 4|$$