Jacobi symbol: Difference between revisions
Added Arturo implementation
Drkameleon (talk | contribs) (Added Arturo implementation) |
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Line 163:
39│ 0 1 1 0 1 1 0 1 1 0 1
</pre>
=={{header|Arturo}}==
{{trans|Lua}}
<lang rebol>jacobi: function [n,k][
N: n % k
K: k
result: 1
while [N <> 0][
while [even? N][
N: shr N 1
if contains? [3 5] and K 7 ->
result: neg result
]
[N,K]: @[K,N]
if and? 3=and N 3 3=and K 3 ->
result: neg result
N: N % K
]
if K <> 1 ->
result: 0
return result
]
print ["" "k/n" "|"] ++ map to [:string] 1..20 'item -> pad.left item 2
print repeat "=" 67
loop range.step:2 1 21 'k [
print [
"" pad to :string k 3 "|" join.with:" " map to [:string] map 1..20 'n -> jacobi n k
'item -> pad.left item 2
]
]</lang>
{{out}}
<pre>k/n | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
===================================================================
1 | 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
3 | 1 -1 0 1 -1 0 1 -1 0 1 -1 0 1 -1 0 1 -1 0 1 -1
5 | 1 -1 -1 1 0 1 -1 -1 1 0 1 -1 -1 1 0 1 -1 -1 1 0
7 | 1 1 -1 1 -1 -1 0 1 1 -1 1 -1 -1 0 1 1 -1 1 -1 -1
9 | 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1
11 | 1 -1 1 1 1 -1 -1 -1 1 -1 0 1 -1 1 1 1 -1 -1 -1 1
13 | 1 -1 1 1 -1 -1 -1 -1 1 1 -1 1 0 1 -1 1 1 -1 -1 -1
15 | 1 1 0 1 0 0 -1 1 0 0 -1 0 -1 -1 0 1 1 0 1 0
17 | 1 1 -1 1 -1 -1 -1 1 1 -1 -1 -1 1 -1 1 1 0 1 1 -1
19 | 1 -1 -1 1 1 1 1 -1 1 -1 1 -1 -1 -1 -1 1 1 -1 0 1
21 | 1 -1 0 1 1 0 0 -1 0 -1 -1 0 -1 0 0 1 1 0 -1 1</pre>
=={{header|AWK}}==
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