Magic squares of doubly even order: Difference between revisions
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m (→{{header|REXX}}: added a comment, changed whitespace, used a template for the output section.) |
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<br>swapped (and thusly, stay in place in the magic square). |
<br>swapped (and thusly, stay in place in the magic square). |
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<lang rexx>/*REXX program constructs a magic square of doubly even sides (a size divisible by 4).*/ |
<lang rexx>/*REXX program constructs a magic square of doubly even sides (a size divisible by 4).*/ |
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n=8; |
n= 8; s= n%4; L= n%2-s+1; w= length(n**2) /*size; small sq; low middle; # width*/ |
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@.=0; |
@.= 0; H= n%2+s /*array default; high middle. */ |
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call gen /*generate a grid in numerical order. */ |
call gen /*generate a grid in numerical order. */ |
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call diag /*mark numbers on both diagonals. */ |
call diag /*mark numbers on both diagonals. */ |
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do c=1 for n; if @.r.c<0 then iterate; call max# /*find max number.*/ |
do c=1 for n; if @.r.c<0 then iterate; call max# /*find max number.*/ |
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parse value -@.a.b (-@.r.c) with @.r.c @.a.b /*swap two values.*/ |
parse value -@.a.b (-@.r.c) with @.r.c @.a.b /*swap two values.*/ |
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end /*c*/ |
end /*c*/ |
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end /*r*/ |
end /*r*/; return |
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return |
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/*──────────────────────────────────────────────────────────────────────────────────────*/ |
/*──────────────────────────────────────────────────────────────────────────────────────*/ |
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corn: do r=1 for n; if r>s & r<=n-s then iterate /*"corner boxen", size≡S*/ |
corn: do r=1 for n; if r>s & r<=n-s then iterate /*"corner boxen", size≡S*/ |
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do c=1 for n; if c>s & c<=n-s then iterate; @.r.c=-@(r,c) |
do c=1 for n; if c>s & c<=n-s then iterate; @.r.c= -@(r,c) /*negate*/ |
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end /* |
end /*c*/ |
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return</lang> |
end /*r*/; return</lang> |
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{{out|output|text= when using the default input:}} |
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<pre> |
<pre> |
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1 2 62 61 60 59 7 8 |
1 2 62 61 60 59 7 8 |
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