Programming Languages (CS302 2007S)
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A reformatted version of:
Bratley, P. (1967). Algorithm 306: Permutation with Repetitions [G6]. Communications of the ACM 10(7), July 1967, pp. 450-451.
procedure perm(a, n, last);
value n;
integer n;
integer array a;
Boolean last;
begin
integer i, p, q, r;
own integer m;
own integer array b[1:n];
if (!last) then go to L12;
last := false;
for i := 1 step 1 until n do b[i] := a[i];
p := b[n];
for i := n step -1 until 1 do
if p != b[i] then
begin m := i; go to L99 end;
m := 0;
go to L99;
L12: if m = 0 then go to L10;
p := b[m]; q := m; r := 0;
L9: i := n;
L4: if a[i] = p then go to L2
if a[i] < p then r := i;
L5: i := i-1; go to L4
L2: a[i] := b[n] - 1;
if r = 0 then go to L8
L1: a[r] := p; q := q+1;
L3: r := r+1;
if r > n then go to L11
else if a[r] > p then go to L3
L11: if b[q] = p then go to L1
r := 0;
L6: r := r+1;
if a[r] >= p then go to L6;
a[r] := b[q];
if q=n then go to L7;
q := q + 1;
go to L6;
L7: last := false; go to L99;
L8: q := q - 1;
if q = 0 then go to L10;
if b[q] = p then go to L5;
p := b[q]; go to L9;
L10: last := true;
L99:
end perm
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I usually create these pages on the fly
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This document was generated by
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The source to the document was last modified on Mon Jan 29 08:26:33 2007.
This document may be found at http://www.cs.grinnell.edu/~rebelsky/Courses/CS302/2007S/Examples/permrep.html.
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