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-rwxr-xr-xchallenge-136/jo-37/perl/ch-1.pl70
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diff --git a/challenge-136/jo-37/perl/ch-1.pl b/challenge-136/jo-37/perl/ch-1.pl
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+#!/usr/bin/perl -s
+
+use v5.16;
+use Test2::V0;
+use Math::Prime::Util qw(gcd logint);
+use experimental 'signatures';
+
+our ($tests, $examples);
+
+run_tests() if $tests || $examples; # does not return
+
+die <<EOS unless @ARGV;
+usage: $0 [-examples] [-tests] [M N ...]
+
+-examples
+ run the examples from the challenge
+
+-tests
+ run some tests
+
+M N ...
+ Check if M, N, ... are "friendly".
+
+EOS
+
+
+### Input and Output
+
+say 0 + !!friendly(@ARGV);
+
+
+### Implementation
+
+# I couldn't find any reference to "two friendly". Maybe Mohammad
+# created this concept?
+# There's no need to restrict the definition to two numbers.
+
+sub friendly (@n) {
+ my ($gcd, $pot) = gcd @n;
+ # Calculate the integer binary logarithm of the GCD together with
+ # its (back-)exponentiation and return "false" for a zero logarithm.
+ logint $gcd, 2, \$pot or return;
+
+ # Check if the GCD is a full power of two.
+ $gcd == $pot;
+}
+
+
+### Examples and tests
+
+sub run_tests {
+ SKIP: {
+ skip "examples" unless $examples;
+
+ ok friendly(8, 24), 'example 1';
+ ok !friendly(26, 39), 'example 2';
+ ok friendly(4, 10), 'example 3';
+ }
+
+ SKIP: {
+ skip "tests" unless $tests;
+
+ ok !friendly(2, 3), 'no common divisor';
+ ok friendly(12, 20, 28), 'three friendly';
+ ok !friendly(12, 36, 60), 'GCD not a power of two';
+ }
+
+ done_testing;
+ exit;
+}