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-rwxr-xr-xchallenge-101/jo-37/perl/ch-1.pl112
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+#!/usr/bin/perl -s
+
+use v5.16;
+use PDL;
+use Test2::V0 '!float';
+use Math::Prime::Util 'divisors';
+use experimental qw(signatures postderef);
+
+our ($tests, $examples, $verbose, $alt);
+
+run_tests() if $tests || $examples; # does not return
+
+die <<EOS unless @ARGV;
+usage: $0 [-examples] [-tests] [-verbose] [-alt] [n1 n2 ...]
+
+-examples
+ run the examples from the challenge
+
+-tests
+ run some tests
+
+-verbose
+ enable trace output
+
+-alt
+ produce an alternative solution for non-square matrices
+
+n1 n2 ...
+ numbers to roll into a matrix
+
+EOS
+
+
+### Input and Output
+
+say scalar roll(\@ARGV, $alt);
+
+
+### Implementation
+
+# Get matrix form: minimum difference between number of rows and
+# columns.
+sub form :prototype($) ($n) {
+ my @d = divisors $n;
+
+ # Difference of the "middle" divisors.
+ $d[@d / 2] - $d[-(@d / 2 + 1)];
+}
+
+# Roll a matrix from an array of numeric values.
+sub roll ($arr, $alt=0) {
+
+ # Create the starting matrix as a single row or column from a piece
+ # off the list tail, sized according to the matrix' form. The
+ # solution's orientation is predefined by the starting matrix.
+ # Providing either variants.
+ my $roll = pdl(splice @$arr, -(form(@$arr) + 1))
+ ->slice($alt ? '*,-1:0' : 'X,*')->sever;
+ say $roll if $verbose;
+
+ while (@$arr) {
+ # Left-rotate the current matrix and add an apt piece off the
+ # list tail.
+ $roll = $roll
+ ->slice('-1:0')->xchg(0,1)
+ ->glue(1, pdl splice @$arr, -$roll->dim(1))
+ ->sever;
+ say $roll if $verbose;
+ }
+
+ # Return the solution as an AoA or as the piddle itself depending on
+ # the context.
+ wantarray ? $roll->unpdl->@* : $roll;
+}
+
+
+### Examples and tests
+
+sub run_tests {
+ local $alt;
+ SKIP: {
+ skip "examples" unless $examples;
+
+ is [roll [1 .. 4]], [[4, 3], [1, 2]], 'example 1';
+ is [roll [1 .. 6]], [[6, 5, 4], [1, 2, 3]], 'example 2a';
+ is [roll [1 .. 6], 1], [[5, 4], [6, 3], [1, 2]], 'example 2b';
+ is [roll [1 .. 12]],
+ [[9, 8, 7, 6], [10, 11, 12, 5], [1, 2, 3, 4]],
+ 'example 3a';
+ is [roll [1 .. 12], 1],
+ [[8, 7, 6], [9, 12, 5], [10, 11, 4], [1, 2, 3]],
+ 'example 3b';
+ }
+
+ SKIP: {
+ skip "tests" unless $tests;
+
+ is form(12 * 12), 0, 'form 0';
+ is form(11 * 12), 1, 'form 1';
+ is form(12 * 14), 2, 'form 2';
+ is form(9 * 12), 3, 'form 3';
+ is form(137), 136, 'form prime - 1';
+
+ is [roll [1 .. 3]], [[1 .. 3]], 'prime';
+ is [roll [1 .. 3], 1], [[3], [2], [1]], 'alt prime';
+ is [roll [1 .. 9]], [[7, 6, 5], [8, 9, 4], [1, 2, 3]], 'odd size';
+ is [roll [1]], [[1]], 'single element';
+ }
+
+ done_testing;
+ exit;
+}