Magic squares/Raku: Difference between revisions
Content added Content deleted
Thundergnat (talk | contribs) m (→{{header|Perl 6}}: Clean up and refactor a bit. Randomize the magic square generation.) |
Thundergnat (talk | contribs) m (→{{header|Perl 6}}: Meh. tried to be cute and ended up wrong.) |
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Rather than having multiple examples for different orders of magic square, this will generate a magic square for ''any'' valid n x n grid |
Rather than having multiple examples for different orders of magic square, this will generate a magic square for ''any'' valid n x n grid. |
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Invoke at the command line and pass in the desired size as a parameter. |
Invoke at the command line and pass in the desired size as a parameter. |
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my @sq; |
my @sq; |
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my $i = 1; |
my $i = 1; |
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| ⚫ | |||
gen-sq($n); |
gen-sq($n); |
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my @r = ^$n .pick(*); |
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say "\nThe magic number is ", [+] @sq[0].list; |
say "\nThe magic number is ", [+] @sq[0].list; |
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my $y = 0; |
my $y = 0; |
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@sq[$i % $n ?? $y !! $y++][($i-1) % $n] = $i++ for ^$n²; |
@sq[$i % $n ?? $y !! $y++][($i-1) % $n] = $i++ for ^$n²; |
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for ^$q -> $r { |
for ^$q -> $r { |
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for $q ..^ $n - $q -> $c { |
for $q ..^ $n - $q -> $c { |
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multi sub gen-sq ($n where {$n %% 2 and $n % 4}) { # singly even |
multi sub gen-sq ($n where {$n %% 2 and $n % 4}) { # singly even |
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my $q = $n div 4; |
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gen-sq($h); |
gen-sq($h); |
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$i *= 4; |
$i *= 4; |
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(@sq[$r;$c], @sq[$r + $h;$c]) = (@sq[$r + $h;$c], @sq[$r;$c]); |
(@sq[$r;$c], @sq[$r + $h;$c]) = (@sq[$r + $h;$c], @sq[$r;$c]); |
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} |
} |
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if $h > 4 { |
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if $h > 4 { |
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for ^$h -> $r { |
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for ($n - $q + 1) ..^ $n -> $c { |
for ($n - $q + 1) ..^ $n -> $c { |
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(@sq[$r;$c], @sq[$r + $h;$c]) = (@sq[$r + $h;$c], @sq[$r;$c]); |
(@sq[$r;$c], @sq[$r + $h;$c]) = (@sq[$r + $h;$c], @sq[$r;$c]); |
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} |
} |
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} |
} |
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} |
} |
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} |
} |
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}</lang> |
}</lang> |
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Revision as of 21:59, 18 March 2016
Rather than having multiple examples for different orders of magic square, this will generate a magic square for any valid n x n grid.
Invoke at the command line and pass in the desired size as a parameter.
See:
- Magic squares of odd order#Perl 6
- Magic squares of singly even order#Perl 6
- Magic squares of doubly even order#Perl 6
<lang perl6>sub MAIN (Int $n where {$n > 0}) {
my @sq; my $i = 1; my $h = $n div 2; my $q = $n div 4; gen-sq($n);
say .fmt("%{$i.chars}d", ' ') for @sq;
say "\nThe magic number is ", [+] @sq[0].list;
multi sub gen-sq (2) { # invalid
note "Sorry, can not generate a 2 x 2 magic square." and exit;
}
multi sub gen-sq ($n where {$n % 2}) { # odd
my $x = $n/2;
my $y = 0;
@sq[($i % $n ?? $y-- !! $y++) % $n][($i % $n ?? $x++ !! $x) % $n] = $i++ for ^$n²;
}
multi sub gen-sq ($n where {$n %% 4}) { # doubly even
my $x = 0;
my $y = 0;
@sq[$i % $n ?? $y !! $y++][($i-1) % $n] = $i++ for ^$n²;
for ^$q -> $r {
for $q ..^ $n - $q -> $c {
my $ŕ = $n - 1 - $r;
my $ć = $n - 1 - $c;
(@sq[$r;$c], @sq[$ŕ;$ć]) = (@sq[$ŕ;$ć], @sq[$r;$c]);
(@sq[$c;$r], @sq[$ć;$ŕ]) = (@sq[$ć;$ŕ], @sq[$c;$r]);
}
}
}
multi sub gen-sq ($n where {$n %% 2 and $n % 4}) { # singly even
gen-sq($h);
$i *= 4;
for ^$h -> $r {
for ^$h -> $c {
@sq[$r + $h; $c] = @sq[$r;$c] + $h² * 3;
@sq[$r; $c + $h] = @sq[$r;$c] + $h² * 2;
@sq[$r + $h; $c + $h] = @sq[$r;$c] + $h²;
}
for ^$q -> $c {
next if $c == 0 and $r == ($h-1) div 2;
(@sq[$r;$c], @sq[$r + $h;$c]) = (@sq[$r + $h;$c], @sq[$r;$c]);
}
if $h > 4 {
for ($n - $q + 1) ..^ $n -> $c {
(@sq[$r;$c], @sq[$r + $h;$c]) = (@sq[$r + $h;$c], @sq[$r;$c]);
}
}
}
(@sq[$q;$q], @sq[$q+$h;$q]) = (@sq[$q+$h;$q], @sq[$q;$q]);
}
}</lang>