Huh! How on earth did you come up with that?

Weirdly (or not) it adapts to the variables in my use case.

Splitting the sequence into 2 parts or 8 parts is a logical extension:

[0] Perl> print join ' ', map $_^14, 0..15;;
14 15 12 13 10 11 8 9 6 7 4 5 2 3 0 1

[0] Perl> print join ' ', map $_^8, 0..15;;
8 9 10 11 12 13 14 15 0 1 2 3 4 5 6 7

[download]

And works for longer sequences (provided they are powers of two; which is a distinct possibility for my purpose):

[0] Perl> print join ' ', map $_^8, 0..31;;
8 9 10 11 12 13 14 15 0 1 2 3 4 5 6 7 24 25 26 27 28 29 30 31 16 17 18
+ 19 20 21 22 23

[0] Perl> print join ' ', map $_^16, 0..31;;
16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 0 1 2 3 4 5 6 7 8 9 10
+ 11 12 13 14 15

[0] Perl> print join ' ', map $_^24, 0..31;;
24 25 26 27 28 29 30 31 16 17 18 19 20 21 22 23 8 9 10 11 12 13 14 15 
+0 1 2 3 4 5 6 7

[0] Perl> print join ' ', map $_^28, 0..31;;
28 29 30 31 24 25 26 27 20 21 22 23 16 17 18 19 12 13 14 15 8 9 10 11 
+4 5 6 7 0 1 2 3

[0] Perl> print join ' ', map $_^30, 0..31;;
30 31 28 29 26 27 24 25 22 23 20 21 18 19 16 17 14 15 12 13 10 11 8 9 
+6 7 4 5 2 3 0 1

[download]

Just a shame it produces out-of-bounds values for non-powers-of-two:

[0] Perl> print join ' ', map $_^10, 0..19;;
10 11 8 9 14 15 12 13 2 3 0 1 6 7 4 5 26 27 24 25

[download]
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In reply to Re^2: More simple math. by BrowserUk
in thread More simple math. by BrowserUk

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