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Ingy döt Net 2023-07-01 11:58:00 -04:00
parent 7387c8f97b
commit cb5bb5e222
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22
Task/Totient-function/Perl/totient-function-1.pl Normal file
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use utf8;
binmode STDOUT, ":utf8";
sub gcd {
my ($u, $v) = @_;
while ($v) {
($u, $v) = ($v, $u % $v);
}
return abs($u);
}
push @𝜑, 0;
for $t (1..10000) {
push @𝜑, scalar grep { 1 == gcd($_,$t) } 1..$t;
}
printf "𝜑(%2d) = %3d%s\n", $_, $𝜑[$_], $_ - $𝜑[$_] - 1 ? '' : ' Prime' for 1 .. 25;
print "\n";
for $limit (100, 1000, 10000) {
printf "Count of primes <= $limit: %d\n", scalar grep {$_ == $𝜑[$_] + 1} 0..$limit;
}

13
Task/Totient-function/Perl/totient-function-2.pl Normal file
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use utf8;
binmode STDOUT, ":utf8";
use ntheory qw(euler_phi);
my @𝜑 = euler_phi(0,10000); # Returns list of all values in range
printf "𝜑(%2d) = %3d%s\n", $_, $𝜑[$_], $_ - $𝜑[$_] - 1 ? '' : ' Prime' for 1 .. 25;
print "\n";
for $limit (100, 1000, 10000) {
printf "Count of primes <= $limit: %d\n", scalar grep {$_ == $𝜑[$_] + 1} 0..$limit;
}