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authorJörg Sommrey <28217714+jo-37@users.noreply.github.com>2023-03-12 22:26:36 +0100
committerJörg Sommrey <28217714+jo-37@users.noreply.github.com>2023-03-23 18:03:39 +0100
commitff260192480fda25385374aedf44a2d672002acd (patch)
tree06dceeca3462f07249aaab601c2b592913868433
parent6374ec0ba5c05d00a3a249fe8dec0d65719d23db (diff)
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Challenge 008 task 1
-rwxr-xr-xchallenge-008/jo-37/perl/ch-1.pl62
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diff --git a/challenge-008/jo-37/perl/ch-1.pl b/challenge-008/jo-37/perl/ch-1.pl
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+#!/usr/bin/perl -s
+
+use v5.16;
+use Test2::V0;
+use bigint;
+use List::Gen;
+use Math::Prime::Util 'divisor_sum';
+
+our ($tests, $examples, $verbose);
+
+run_tests() if $tests || $examples; # does not return
+
+die <<EOS unless @ARGV;
+usage: $0 [-examples] [-tests] [N]
+
+-examples
+ run the examples from the challenge
+
+-tests
+ run some tests
+
+N
+ print the first N perfect numbers
+
+EOS
+
+
+### Input and Output
+
+gen_perfect()->take(shift)->say;
+
+
+### Implementation
+
+# No need to consider odd perfect numbers as none is known yet. Thus
+# restricting to those generated from Mersenne primes.
+# Build a generator for even perfect primes.
+sub gen_perfect {
+ <2..>->map(sub {2**($_ - 1) * (2**$_ - 1)})
+ ->filter(sub {divisor_sum($_) == 2 * $_});
+}
+
+
+### Examples and tests
+
+sub run_tests {
+ SKIP: {
+ skip "examples" unless $examples;
+
+ is gen_perfect()->take(5), [6, 28, 496, 8128, 33550336],
+ 'task 1 from OEIS';
+ }
+
+ SKIP: {
+ skip "tests" unless $tests;
+
+ is gen_perfect()->get(5), 8589869056, 'next from OEIS';
+ }
+
+ done_testing;
+ exit;
+}