Random Latin squares: Difference between revisions

added RPL
(Added Algol 68)
(added RPL)
 
(4 intermediate revisions by 4 users not shown)
Line 290:
DO SKIP OD
OD;
# the final row, there iosis only one possibility for each column #
FOR col TO n DO
[ 1 : n ]CHAR free := letters;
Line 888:
[7, 0, 6, 2, 5, 4, 3, 8, 1, 9]
[9, 7, 5, 4, 1, 3, 0, 6, 2, 8]</pre>
 
=={{header|EasyLang}}==
{{trans|Kotlin}}
<syntaxhighlight>
proc shuffle . a[] .
for i = len a[] downto 2
r = randint i
swap a[r] a[i]
.
.
proc prsquare . lat[][] .
n = len lat[][]
for i to n
for j to n
write lat[i][j] & " "
.
print ""
.
print ""
.
proc square n . .
for i to n
lat[][] &= [ ]
for j to n
lat[i][] &= j
.
.
shuffle lat[1][]
for i = 2 to n - 1
repeat
shuffle lat[i][]
for k to i - 1
for j to n
if lat[k][j] = lat[i][j]
break 2
.
.
.
until k = i
.
.
len used0[] n
for j to n
used[] = used0[]
for i to n - 1
used[lat[i][j]] = 1
.
for k to n
if used[k] = 0
lat[n][j] = k
break 1
.
.
.
prsquare lat[][]
.
square 5
square 5
</syntaxhighlight>
 
{{out}}
<pre>
1 5 4 2 3
3 4 2 1 5
2 1 5 3 4
5 3 1 4 2
4 2 3 5 1
 
3 5 1 4 2
2 1 4 3 5
5 2 3 1 4
4 3 2 5 1
1 4 5 2 3
</pre>
 
=={{header|F_Sharp|F#}}==
Line 963 ⟶ 1,037:
3 1 2 4 0
</pre>
 
=={{header|FreeBASIC}}==
{{trans|Wren}}
====Restarting Row method====
<syntaxhighlight lang="vbnet">Randomize Timer
 
Sub printSquare(latin() As Integer, n As Integer)
For i As Integer = 0 To n - 1
Print "[";
For j As Integer = 0 To n - 1
Print latin(i, j); ",";
Next j
Print Chr(8); " ]"
Next i
Print
End Sub
 
Sub latinSquare(n As Integer)
Dim As Integer i, j, k
If n <= 0 Then
Print "[]"
Exit Sub
End If
Dim latin(n - 1, n - 1) As Integer
For i = 0 To n - 1
For j = 0 To n - 1
latin(i, j) = j
Next j
Next i
' first row
For i = 0 To n - 1
Dim j As Integer = Int(Rnd * n)
Swap latin(0, i), latin(0, j)
Next i
' middle row(s)
For i = 1 To n - 2
Dim shuffled As Integer = 0
While shuffled = 0
For j = 0 To n - 1
Dim k As Integer = Int(Rnd * n)
Swap latin(i, j), latin(i, k)
Next j
shuffled = 1
For k As Integer = 0 To i - 1
For j = 0 To n - 1
If latin(k, j) = latin(i, j) Then
shuffled = 0
Exit For
End If
Next j
If shuffled = 0 Then Exit For
Next k
Wend
Next i
' last row
For j = 0 To n - 1
Dim used(n - 1) As Integer
For i = 0 To n - 2
used(latin(i, j)) = 1
Next i
For k = 0 To n - 1
If used(k) = 0 Then
latin(n - 1, j) = k
Exit For
End If
Next k
Next j
printSquare(latin(), n)
End Sub
 
latinSquare(5)
latinSquare(5)
latinSquare(10) ' for good measure
 
Sleep</syntaxhighlight>
 
=={{header|Go}}==
Line 3,599 ⟶ 3,752:
 
[https://www.mediafire.com/file/6fruvfgydnbmtyj/RandomLatinSquares.jpg/file Random Latin Squares - image]
 
=={{header|RPL}}==
{{trans|Quackery}}
{{works with|RPL|HP49-C}}
<code>SHUFL</code> is defined at [[Knuth shuffle#RPL|Knuth shuffle]]
« → n
« « k » 'k' 0 n 1 - 1 SEQ
2 n '''START'''
DUP TAIL LASTARG HEAD +
'''NEXT'''
n →LIST
<span style="color:blue">SHUFL</span> AXL
TRAN AXL
<span style="color:blue">SHUFL</span> AXL
» '<span style="color:blue">RLS</span>' STO
 
5 <span style="color:blue">RLS</span>
{{out}}
<pre>
1: [[ 3 1 4 2 0 ]
[ 4 2 0 3 1 ]
[ 2 0 3 1 4 ]
[ 0 3 1 4 2 ]
[ 1 4 2 0 3 ]]
</pre>
 
=={{header|Ruby}}==
Line 3,640 ⟶ 3,818:
{{trans|Go}}
===Restarting Row method===
<syntaxhighlight lang="ecmascriptwren">import "random" for Random
 
var rand = Random.new()
Line 3,732 ⟶ 3,910:
{{libheader|Wren-fmt}}
{{libheader|Wren-math}}
<syntaxhighlight lang="ecmascriptwren">import "random" for Random
import "./sort" for Sort
import "./fmt" for Fmt
import "./math" for Int
 
var rand = Random.new()
1,151

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