$ret - $d != $ret is interesting. One would think it's the same as $d (in boolean context), but it isn't. By testing the effect of $d ( $ret - $d != $ret) instead of $d itself, the loop can be ended sooner.
my $ret = 1;
for my $d (1e-15, 1e-20) {
printf("%g %d %d\n",
$d,
( $d )?1:0,
( $ret-$d != $ret )?1:0,
);
}
1e-015 1 1 # Often equivalent.
1e-020 1 0 # But not when there's an underflow.
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