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Ingy döt Net 2023-07-01 11:58:00 -04:00
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Task/Sort-stability/GAP/sort-stability.gap Normal file
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# According to section 21.18 of the reference manual, Sort is not stable (it's a Shell sort).
# However, SortingPerm is stable. We will see it on an example, showing indexes of elements after the sort.
n := 20;
L := List([1 .. n], i -> Random("AB"));
# "AABABBBABBABAABABBAB"
p := SortingPerm(L);
# (3,10,15,17,18,19,9,14,7,13,6,12,16,8,4)(5,11)
a := Permuted(L, p);;
b := Permuted([1 .. n], p);;
PrintArray(TransposedMat(List([1 .. n], i -> [a[i], b[i]])));
# [ [ 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B', 'B' ],
# [ 1, 2, 4, 8, 11, 13, 14, 16, 19, 3, 5, 6, 7, 9, 10, 12, 15, 17, 18, 20 ] ]