That just offsets the problem, not fixes it unfortunately:

for( my $i=0; $i<17; ++$i ) { 
    my $j = ( 1 + $i ) % ( 17 - 1 ); 
    printf "%2u: %s\n", $i, join' ', map{ sprintf "%2u", $j = ( $j + $
+i ) % 17 } 0 .. 16; 
};;
 0:  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1 <<<<<<<<<<<<<<<
+<<<<<<<<<<<<<<<<<<<<<<
 1:  3  4  5  6  7  8  9 10 11 12 13 14 15 16  0  1  2
 2:  5  7  9 11 13 15  0  2  4  6  8 10 12 14 16  1  3
 3:  7 10 13 16  2  5  8 11 14  0  3  6  9 12 15  1  4
 4:  9 13  0  4  8 12 16  3  7 11 15  2  6 10 14  1  5
 5: 11 16  4  9 14  2  7 12  0  5 10 15  3  8 13  1  6
 6: 13  2  8 14  3  9 15  4 10 16  5 11  0  6 12  1  7
 7: 15  5 12  2  9 16  6 13  3 10  0  7 14  4 11  1  8
 8:  0  8 16  7 15  6 14  5 13  4 12  3 11  2 10  1  9
 9:  2 11  3 12  4 13  5 14  6 15  7 16  8  0  9  1 10
10:  4 14  7  0 10  3 13  6 16  9  2 12  5 15  8  1 11
11:  6  0 11  5 16 10  4 15  9  3 14  8  2 13  7  1 12
12:  8  3 15 10  5  0 12  7  2 14  9  4 16 11  6  1 13
13: 10  6  2 15 11  7  3 16 12  8  4  0 13  9  5  1 14
14: 12  9  6  3  0 14 11  8  5  2 16 13 10  7  4  1 15
15: 15 13 11  9  7  5  3  1 16 14 12 10  8  6  4  2  0
16:  0 16 15 14 13 12 11 10  9  8  7  6  5  4  3  2  1
[download]

$i = 1 + $hash % ($p-1)

my $j = ( 1 + $i ) % ( 17 - 1 );

I'm not sure who you got those extra parens from, but they weren't from me. :)

Or, looking at it another way:

my $i=0;

The point of my suggestion, $i = 1 + $hash % ($p-1), is that it never results in $i == 0 (even if your computed $hash equals 0). So calling out the line that resulted from you doing $i=0 doesn't really have much bearing on the validity of my suggestion.

Does any of that help you see how you misinterpreted my suggestion? I ask because I'm not completely sure were the disconnect is and I'm reluctant to try guess at what I should try to explain.

- tye        

You're right! I misread the precedence. Is this what you meant?

for( my $i=0; $i<17; ++$i ) { 
    my $j =  1 + ( $i % ( 17 - 1 ) ); 
    printf "%2u: %s\n", $i, join' ', map{ sprintf "%2u", $j = ( $j + $
+i ) % 17 } 0 .. 16; 
};;
 0:  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 1:  3  4  5  6  7  8  9 10 11 12 13 14 15 16  0  1  2
 2:  5  7  9 11 13 15  0  2  4  6  8 10 12 14 16  1  3
 3:  7 10 13 16  2  5  8 11 14  0  3  6  9 12 15  1  4
 4:  9 13  0  4  8 12 16  3  7 11 15  2  6 10 14  1  5
 5: 11 16  4  9 14  2  7 12  0  5 10 15  3  8 13  1  6
 6: 13  2  8 14  3  9 15  4 10 16  5 11  0  6 12  1  7
 7: 15  5 12  2  9 16  6 13  3 10  0  7 14  4 11  1  8
 8:  0  8 16  7 15  6 14  5 13  4 12  3 11  2 10  1  9
 9:  2 11  3 12  4 13  5 14  6 15  7 16  8  0  9  1 10
10:  4 14  7  0 10  3 13  6 16  9  2 12  5 15  8  1 11
11:  6  0 11  5 16 10  4 15  9  3 14  8  2 13  7  1 12
12:  8  3 15 10  5  0 12  7  2 14  9  4 16 11  6  1 13
13: 10  6  2 15 11  7  3 16 12  8  4  0 13  9  5  1 14
14: 12  9  6  3  0 14 11  8  5  2 16 13 10  7  4  1 15
15: 14 12 10  8  6  4  2  0 15 13 11  9  7  5  3  1 16
16:  0 16 15 14 13 12 11 10  9  8  7  6  5  4  3  2  1
[download]

0 % anything == 0 so i becomes 1 + 0; and 0 gets added at each iteration; which never terminates.

---

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