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### Re: Comparison by position and value

by jdalbec (Deacon)
 on Jan 03, 2005 at 00:56 UTC ( #418850=note: print w/replies, xml ) Need Help??

in reply to Comparison by position and value

Update: modified output to display only the original strings as suggested by steves.
Whereas these two would be incompatible
```_8__3__19
4_8___7__
because the digit 8 appears in both, but at a different position. And these two are incompatible
```_8__3__19
48_____7_
because the second last digit in both strings contains a different value.
The second incompatibility is simple to test for using boolean operations. If we look at the strings as partial permutations, the first incompatibility is equivalent to the second incompatibility on the inverse partial permutations. So maybe a Schwartzian transform is in order. Are all your strings 9 characters long? Are all your digits the numbers 1..9? If so, maybe the following will help:
```sub appendinverse {
my \$string = shift;
my @revarray;
for my \$i (0..8) {
\$revarray[0+substr(\$string, \$i, 1)] = \$i;
}
delete \$revarray[0];
for my \$i (1..9) {
if(exists \$revarray[\$i]) {
\$string .= \$revarray[\$i];
} else {
\$string .= "_";
}
}
return \$string;
}

# test harness stolen from steves
my @tests =
(qw/
_8__3__19
48____7__

_8__3__19
4_2___7__

_8__3__19
4_8___7__

__8_3__19
48____7__

__8_3__19
84____7__

_8__3__19
48_____7_
/
);

# Schwartzian transform
for my \$i (@tests) {
\$i = appendinverse \$i;
#       print "\$i\n";
}
sub compatible {
my \$a = shift;
my \$b = shift;
# modified as suggested by steves
#       print "\n\$a\n\$b\n";
print "\n",substr(\$a,0,9),"\n",substr(\$b,0,9),"\n";
if ((\$a^\$b)=~/[\001-\017]/) {
print "incompatible\n";
} else {
print "compatible\n";
}
}

# test harness stolen from steves
my (\$s1, \$s2);
while (defined(\$s1 = shift(@tests)))
{
\$s2 = shift(@tests);
compatible(\$s1, \$s2);
}
which outputs:
```
_8__3__197_4____18
48____7_____0__61_
compatible

_8__3__197_4____18
4_2___7___2_0__6__
compatible

_8__3__197_4____18
4_8___7_____0__62_
incompatible

__8_3__197_4____28
48____7_____0__61_
incompatible

__8_3__197_4____28
84____7_____1__60_
incompatible

_8__3__197_4____18
48_____7____0__71_
incompatible
```
_8__3__19
48____7__
compatible

_8__3__19
4_2___7__
compatible

_8__3__19
4_8___7__
incompatible

__8_3__19
48____7__
incompatible

__8_3__19
84____7__
incompatible

_8__3__19
48_____7_
incompatible

Replies are listed 'Best First'.
Re^2: Comparison by position and value
by steves (Curate) on Jan 03, 2005 at 02:22 UTC

Output is a little misleading since it shows the transformed sequences -- not the originals.

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