Verhoeff algorithm: Difference between revisions
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Alextretyak (talk | contribs) (Added 11l) |
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Line 410:
Identical to Wren example
</pre>
=={{header|J}}==
Implementation:
<lang J>cyc=: | +/~@i. NB. cyclic group, order y
ac=: |(+-/~@i.) NB. anticyclic group, order y
a2n=: (+#)@ NB. add 2^n
di=: (cyc,.cyc a2n),((ac a2n),.ac)
D=: di 5
INV=: ,I.0=D
P=: {&(C.1 5 8 9 4 2 7 0;3 6)^:(i.8) i.10
verhoeff=: {{
c=. 0
for_N. |.10 #.inv y do.
c=. D{~<c,P{~<(8|N_index),N
end.
}}
traceverhoeff=: {{
r=. EMPTY
c=. 0
for_N. |.10 #.inv y do.
c0=. c
c=. D{~<c,p=.P{~<(j=.8|N_index),N
r=. r, c,p,j,N_index,N,c0
end.
labels=. cut 'cᵢ p[i,nᵢ] i nᵢ n cₒ'
1 1}.}:~.":labels,(<;._1"1~[:*/' '=])' ',.":r
}}
checkdigit=: INV {~ verhoeff@*&10
valid=: 0 = verhoeff</lang>
Task examples:
<lang J> checkdigit 236 12345 123456789012
3 1 0
valid 2363
1
valid 123451
1
valid 1234567890120
1
valid 2369
0
valid 123459
0
valid 1234567890129
0
traceverhoeff 2363
cᵢ│p[i,nᵢ]│i│nᵢ│n│cₒ│
──┼───────┼─┼──┼─┼──┤
3 │3 │0│0 │3│0 │
1 │3 │1│1 │6│3 │
4 │3 │2│2 │3│1 │
0 │1 │3│3 │2│4 │
traceverhoeff 123451
cᵢ│p[i,nᵢ]│i│nᵢ│n│cₒ│
──┼───────┼─┼──┼─┼──┤
1 │1 │0│0 │1│0 │
9 │8 │1│1 │5│1 │
2 │7 │2│2 │4│9 │
8 │6 │3│3 │3│2 │
3 │5 │4│4 │2│8 │
0 │2 │5│5 │1│3 │
</lang>
=={{header|jq}}==
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