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Ingy döt Net 2026-02-01 16:33:20 -08:00
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<span style="color: #008080;">with</span> <span style="color: #008080;">javascript_semantics</span>
<span style="color: #004080;">sequence</span> <span style="color: #000000;">d</span> <span style="color: #0000FF;">=</span> <span style="color: #0000FF;">{</span><span style="color: #7060A8;">tagset</span><span style="color: #0000FF;">(</span><span style="color: #000000;">9</span><span style="color: #0000FF;">,</span><span style="color: #000000;">0</span><span style="color: #0000FF;">)},</span>
<span style="color: #000000;">inv</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">tagset</span><span style="color: #0000FF;">(</span><span style="color: #000000;">9</span><span style="color: #0000FF;">,</span><span style="color: #000000;">0</span><span style="color: #0000FF;">),</span>
<span style="color: #000000;">p</span> <span style="color: #0000FF;">=</span> <span style="color: #0000FF;">{</span><span style="color: #7060A8;">tagset</span><span style="color: #0000FF;">(</span><span style="color: #000000;">9</span><span style="color: #0000FF;">,</span><span style="color: #000000;">0</span><span style="color: #0000FF;">)}</span>
<span style="color: #008080;">for</span> <span style="color: #000000;">i</span><span style="color: #0000FF;">=</span><span style="color: #000000;">1</span> <span style="color: #008080;">to</span> <span style="color: #000000;">4</span> <span style="color: #008080;">do</span> <span style="color: #000000;">d</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">append</span><span style="color: #0000FF;">(</span><span style="color: #000000;">d</span><span style="color: #0000FF;">,</span><span style="color: #7060A8;">extract</span><span style="color: #0000FF;">(</span><span style="color: #000000;">d</span><span style="color: #0000FF;">[$],{</span><span style="color: #000000;">2</span><span style="color: #0000FF;">,</span><span style="color: #000000;">3</span><span style="color: #0000FF;">,</span><span style="color: #000000;">4</span><span style="color: #0000FF;">,</span><span style="color: #000000;">5</span><span style="color: #0000FF;">,</span><span style="color: #000000;">1</span><span style="color: #0000FF;">,</span><span style="color: #000000;">7</span><span style="color: #0000FF;">,</span><span style="color: #000000;">8</span><span style="color: #0000FF;">,</span><span style="color: #000000;">9</span><span style="color: #0000FF;">,</span><span style="color: #000000;">10</span><span style="color: #0000FF;">,</span><span style="color: #000000;">6</span><span style="color: #0000FF;">}))</span> <span style="color: #008080;">end</span> <span style="color: #008080;">for</span>
<span style="color: #008080;">for</span> <span style="color: #000000;">i</span><span style="color: #0000FF;">=</span><span style="color: #000000;">5</span> <span style="color: #008080;">to</span> <span style="color: #000000;">8</span> <span style="color: #008080;">do</span> <span style="color: #000000;">d</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">append</span><span style="color: #0000FF;">(</span><span style="color: #000000;">d</span><span style="color: #0000FF;">,</span><span style="color: #7060A8;">reverse</span><span style="color: #0000FF;">(</span><span style="color: #000000;">d</span><span style="color: #0000FF;">[-</span><span style="color: #000000;">4</span><span style="color: #0000FF;">]))</span> <span style="color: #008080;">end</span> <span style="color: #008080;">for</span>
<span style="color: #000000;">d</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">append</span><span style="color: #0000FF;">(</span><span style="color: #000000;">d</span><span style="color: #0000FF;">,</span><span style="color: #7060A8;">reverse</span><span style="color: #0000FF;">(</span><span style="color: #000000;">d</span><span style="color: #0000FF;">[</span><span style="color: #000000;">1</span><span style="color: #0000FF;">]))</span>
<span style="color: #000000;">inv</span><span style="color: #0000FF;">[</span><span style="color: #000000;">2</span><span style="color: #0000FF;">..</span><span style="color: #000000;">5</span><span style="color: #0000FF;">]</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">reverse</span><span style="color: #0000FF;">(</span><span style="color: #000000;">inv</span><span style="color: #0000FF;">[</span><span style="color: #000000;">2</span><span style="color: #0000FF;">..</span><span style="color: #000000;">5</span><span style="color: #0000FF;">])</span>
<span style="color: #008080;">for</span> <span style="color: #000000;">i</span><span style="color: #0000FF;">=</span><span style="color: #000000;">1</span> <span style="color: #008080;">to</span> <span style="color: #000000;">7</span> <span style="color: #008080;">do</span> <span style="color: #000000;">p</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">append</span><span style="color: #0000FF;">(</span><span style="color: #000000;">p</span><span style="color: #0000FF;">,</span><span style="color: #7060A8;">extract</span><span style="color: #0000FF;">(</span><span style="color: #000000;">p</span><span style="color: #0000FF;">[$],{</span><span style="color: #000000;">2</span><span style="color: #0000FF;">,</span><span style="color: #000000;">6</span><span style="color: #0000FF;">,</span><span style="color: #000000;">8</span><span style="color: #0000FF;">,</span><span style="color: #000000;">7</span><span style="color: #0000FF;">,</span><span style="color: #000000;">3</span><span style="color: #0000FF;">,</span><span style="color: #000000;">9</span><span style="color: #0000FF;">,</span><span style="color: #000000;">4</span><span style="color: #0000FF;">,</span><span style="color: #000000;">1</span><span style="color: #0000FF;">,</span><span style="color: #000000;">10</span><span style="color: #0000FF;">,</span><span style="color: #000000;">5</span><span style="color: #0000FF;">}))</span> <span style="color: #008080;">end</span> <span style="color: #008080;">for</span>
with javascript_semantics
sequence d = {tagset(9,0)},
inv = tagset(9,0),
p = {tagset(9,0)}
for i=1 to 4 do d = append(d,extract(d[$],{2,3,4,5,1,7,8,9,10,6})) end for
for i=5 to 8 do d = append(d,reverse(d[-4])) end for
d = append(d,reverse(d[1]))
inv[2..5] = reverse(inv[2..5])
for i=1 to 7 do p = append(p,extract(p[$],{2,6,8,7,3,9,4,1,10,5})) end for
<span style="color: #000080;font-style:italic;">-- alternatively, if you prefer:
--constant d = {{0,1,2,3,4,5,6,7,8,9},
-- {1,2,3,4,0,6,7,8,9,5},
-- {2,3,4,0,1,7,8,9,5,6},
-- {3,4,0,1,2,8,9,5,6,7},
-- {4,0,1,2,3,9,5,6,7,8},
-- {5,9,8,7,6,0,4,3,2,1},
-- {6,5,9,8,7,1,0,4,3,2},
-- {7,6,5,9,8,2,1,0,4,3},
-- {8,7,6,5,9,3,2,1,0,4},
-- {9,8,7,6,5,4,3,2,1,0}},
-- inv = {0,4,3,2,1,5,6,7,8,9},
-- p = {{0,1,2,3,4,5,6,7,8,9},
-- {1,5,7,6,2,8,3,0,9,4},
-- {5,8,0,3,7,9,6,1,4,2},
-- {8,9,1,6,0,4,3,5,2,7},
-- {9,4,5,3,1,2,6,8,7,0},
-- {4,2,8,6,5,7,3,9,0,1},
-- {2,7,9,3,8,0,6,4,1,5},
-- {7,0,4,6,9,1,3,2,5,8}}</span>
-- alternatively, if you prefer:
--constant d = {{0,1,2,3,4,5,6,7,8,9},
-- {1,2,3,4,0,6,7,8,9,5},
-- {2,3,4,0,1,7,8,9,5,6},
-- {3,4,0,1,2,8,9,5,6,7},
-- {4,0,1,2,3,9,5,6,7,8},
-- {5,9,8,7,6,0,4,3,2,1},
-- {6,5,9,8,7,1,0,4,3,2},
-- {7,6,5,9,8,2,1,0,4,3},
-- {8,7,6,5,9,3,2,1,0,4},
-- {9,8,7,6,5,4,3,2,1,0}},
-- inv = {0,4,3,2,1,5,6,7,8,9},
-- p = {{0,1,2,3,4,5,6,7,8,9},
-- {1,5,7,6,2,8,3,0,9,4},
-- {5,8,0,3,7,9,6,1,4,2},
-- {8,9,1,6,0,4,3,5,2,7},
-- {9,4,5,3,1,2,6,8,7,0},
-- {4,2,8,6,5,7,3,9,0,1},
-- {2,7,9,3,8,0,6,4,1,5},
-- {7,0,4,6,9,1,3,2,5,8}}
<span style="color: #008080;">function</span> <span style="color: #000000;">verhoeff</span><span style="color: #0000FF;">(</span><span style="color: #004080;">string</span> <span style="color: #000000;">n</span><span style="color: #0000FF;">,</span> <span style="color: #004080;">bool</span> <span style="color: #000000;">validate</span><span style="color: #0000FF;">=</span><span style="color: #004600;">false</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">show_workings</span><span style="color: #0000FF;">=</span><span style="color: #004600;">false</span><span style="color: #0000FF;">)</span>
<span style="color: #004080;">string</span> <span style="color: #0000FF;">{</span><span style="color: #000000;">s</span><span style="color: #0000FF;">,</span><span style="color: #000000;">t</span><span style="color: #0000FF;">}</span> <span style="color: #0000FF;">=</span> <span style="color: #008080;">iff</span><span style="color: #0000FF;">(</span><span style="color: #000000;">validate</span><span style="color: #0000FF;">?{</span><span style="color: #000000;">n</span><span style="color: #0000FF;">,</span><span style="color: #008000;">"Validation"</span><span style="color: #0000FF;">}:{</span><span style="color: #000000;">n</span><span style="color: #0000FF;">&</span><span style="color: #008000;">'0'</span><span style="color: #0000FF;">,</span><span style="color: #008000;">"Check digit"</span><span style="color: #0000FF;">})</span>
<span style="color: #008080;">if</span> <span style="color: #000000;">show_workings</span> <span style="color: #008080;">then</span>
<span style="color: #7060A8;">printf</span><span style="color: #0000FF;">(</span><span style="color: #000000;">1</span><span style="color: #0000FF;">,</span><span style="color: #008000;">"%s calculations for `%s`:\n"</span><span style="color: #0000FF;">,</span> <span style="color: #0000FF;">{</span><span style="color: #000000;">t</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">n</span><span style="color: #0000FF;">})</span>
<span style="color: #7060A8;">printf</span><span style="color: #0000FF;">(</span><span style="color: #000000;">1</span><span style="color: #0000FF;">,</span><span style="color: #008000;">" i ni p(i,ni) c\n"</span><span style="color: #0000FF;">)</span>
<span style="color: #7060A8;">printf</span><span style="color: #0000FF;">(</span><span style="color: #000000;">1</span><span style="color: #0000FF;">,</span><span style="color: #008000;">"------------------\n"</span><span style="color: #0000FF;">)</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
<span style="color: #004080;">integer</span> <span style="color: #000000;">c</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">0</span>
<span style="color: #008080;">for</span> <span style="color: #000000;">i</span><span style="color: #0000FF;">=</span><span style="color: #000000;">1</span> <span style="color: #008080;">to</span> <span style="color: #7060A8;">length</span><span style="color: #0000FF;">(</span><span style="color: #000000;">s</span><span style="color: #0000FF;">)</span> <span style="color: #008080;">do</span>
<span style="color: #004080;">integer</span> <span style="color: #000000;">ni</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">s</span><span style="color: #0000FF;">[-</span><span style="color: #000000;">i</span><span style="color: #0000FF;">]-</span><span style="color: #008000;">'0'</span><span style="color: #0000FF;">,</span>
<span style="color: #000000;">pi</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">p</span><span style="color: #0000FF;">[</span><span style="color: #7060A8;">remainder</span><span style="color: #0000FF;">(</span><span style="color: #000000;">i</span><span style="color: #0000FF;">-</span><span style="color: #000000;">1</span><span style="color: #0000FF;">,</span><span style="color: #000000;">8</span><span style="color: #0000FF;">)+</span><span style="color: #000000;">1</span><span style="color: #0000FF;">][</span><span style="color: #000000;">ni</span><span style="color: #0000FF;">+</span><span style="color: #000000;">1</span><span style="color: #0000FF;">]</span>
<span style="color: #000000;">c</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">d</span><span style="color: #0000FF;">[</span><span style="color: #000000;">c</span><span style="color: #0000FF;">+</span><span style="color: #000000;">1</span><span style="color: #0000FF;">][</span><span style="color: #000000;">pi</span><span style="color: #0000FF;">+</span><span style="color: #000000;">1</span><span style="color: #0000FF;">]</span>
<span style="color: #008080;">if</span> <span style="color: #000000;">show_workings</span> <span style="color: #008080;">then</span>
<span style="color: #7060A8;">printf</span><span style="color: #0000FF;">(</span><span style="color: #000000;">1</span><span style="color: #0000FF;">,</span><span style="color: #008000;">"%2d %d %d %d\n"</span><span style="color: #0000FF;">,</span> <span style="color: #0000FF;">{</span><span style="color: #000000;">i</span><span style="color: #0000FF;">-</span><span style="color: #000000;">1</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">ni</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">pi</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">c</span><span style="color: #0000FF;">})</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">for</span>
<span style="color: #004080;">integer</span> <span style="color: #000000;">ch</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">inv</span><span style="color: #0000FF;">[</span><span style="color: #000000;">c</span><span style="color: #0000FF;">+</span><span style="color: #000000;">1</span><span style="color: #0000FF;">]+</span><span style="color: #008000;">'0'</span>
<span style="color: #004080;">string</span> <span style="color: #000000;">r</span> <span style="color: #0000FF;">=</span> <span style="color: #008080;">iff</span><span style="color: #0000FF;">(</span><span style="color: #000000;">validate</span><span style="color: #0000FF;">?</span><span style="color: #008080;">iff</span><span style="color: #0000FF;">(</span><span style="color: #000000;">c</span><span style="color: #0000FF;">=</span><span style="color: #000000;">0</span><span style="color: #0000FF;">?</span><span style="color: #008000;">""</span><span style="color: #0000FF;">:</span><span style="color: #008000;">"in"</span><span style="color: #0000FF;">)&</span><span style="color: #008000;">"correct"</span>
<span style="color: #0000FF;">:</span><span style="color: #008000;">"`"</span><span style="color: #0000FF;">&</span><span style="color: #000000;">ch</span><span style="color: #0000FF;">&</span><span style="color: #008000;">"`"</span><span style="color: #0000FF;">)</span>
<span style="color: #7060A8;">printf</span><span style="color: #0000FF;">(</span><span style="color: #000000;">1</span><span style="color: #0000FF;">,</span><span style="color: #008000;">"The %s for `%s` is %s\n\n"</span><span style="color: #0000FF;">,{</span><span style="color: #7060A8;">lower</span><span style="color: #0000FF;">(</span><span style="color: #000000;">t</span><span style="color: #0000FF;">),</span><span style="color: #000000;">n</span><span style="color: #0000FF;">,</span><span style="color: #000000;">r</span><span style="color: #0000FF;">})</span>
<span style="color: #008080;">return</span> <span style="color: #000000;">ch</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">function</span>
function verhoeff(string n, bool validate=false, show_workings=false)
string {s,t} = iff(validate?{n,"Validation"}:{n&'0',"Check digit"})
if show_workings then
printf(1,"%s calculations for `%s`:\n", {t, n})
printf(1," i ni p(i,ni) c\n")
printf(1,"------------------\n")
end if
integer c = 0
for i=1 to length(s) do
integer ni = s[-i]-'0',
pi = p[remainder(i-1,8)+1][ni+1]
c = d[c+1][pi+1]
if show_workings then
printf(1,"%2d %d %d %d\n", {i-1, ni, pi, c})
end if
end for
integer ch = inv[c+1]+'0'
string r = iff(validate?iff(c=0?"":"in")&"correct"
:"`"&ch&"`")
printf(1,"The %s for `%s` is %s\n\n",{lower(t),n,r})
return ch
end function
<span style="color: #008080;">constant</span> <span style="color: #000000;">tests</span> <span style="color: #0000FF;">=</span> <span style="color: #0000FF;">{</span><span style="color: #008000;">"236"</span><span style="color: #0000FF;">,</span> <span style="color: #008000;">"12345"</span><span style="color: #0000FF;">,</span> <span style="color: #008000;">"123456789012"</span><span style="color: #0000FF;">}</span>
<span style="color: #008080;">for</span> <span style="color: #000000;">i</span><span style="color: #0000FF;">=</span><span style="color: #000000;">1</span> <span style="color: #008080;">to</span> <span style="color: #7060A8;">length</span><span style="color: #0000FF;">(</span><span style="color: #000000;">tests</span><span style="color: #0000FF;">)</span> <span style="color: #008080;">do</span>
<span style="color: #004080;">bool</span> <span style="color: #000000;">show_workings</span> <span style="color: #0000FF;">=</span> <span style="color: #0000FF;">(</span><span style="color: #000000;">i</span><span style="color: #0000FF;"><=</span><span style="color: #000000;">2</span><span style="color: #0000FF;">)</span>
<span style="color: #004080;">integer</span> <span style="color: #000000;">ch</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">verhoeff</span><span style="color: #0000FF;">(</span><span style="color: #000000;">tests</span><span style="color: #0000FF;">[</span><span style="color: #000000;">i</span><span style="color: #0000FF;">],</span><span style="color: #004600;">false</span><span style="color: #0000FF;">,</span><span style="color: #000000;">show_workings</span><span style="color: #0000FF;">)</span>
<span style="color: #7060A8;">assert</span><span style="color: #0000FF;">(</span><span style="color: #000000;">verhoeff</span><span style="color: #0000FF;">(</span><span style="color: #000000;">tests</span><span style="color: #0000FF;">[</span><span style="color: #000000;">i</span><span style="color: #0000FF;">]&</span><span style="color: #000000;">ch</span><span style="color: #0000FF;">,</span><span style="color: #004600;">true</span><span style="color: #0000FF;">,</span><span style="color: #000000;">show_workings</span><span style="color: #0000FF;">)==</span><span style="color: #008000;">'0'</span><span style="color: #0000FF;">)</span>
<span style="color: #7060A8;">assert</span><span style="color: #0000FF;">(</span><span style="color: #000000;">verhoeff</span><span style="color: #0000FF;">(</span><span style="color: #000000;">tests</span><span style="color: #0000FF;">[</span><span style="color: #000000;">i</span><span style="color: #0000FF;">]&</span><span style="color: #008000;">'9'</span><span style="color: #0000FF;">,</span><span style="color: #004600;">true</span><span style="color: #0000FF;">,</span><span style="color: #000000;">show_workings</span><span style="color: #0000FF;">)!=</span><span style="color: #008000;">'0'</span><span style="color: #0000FF;">)</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">for</span>
<!--
constant tests = {"236", "12345", "123456789012"}
for i=1 to length(tests) do
bool show_workings = (i<=2)
integer ch = verhoeff(tests[i],false,show_workings)
assert(verhoeff(tests[i]&ch,true,show_workings)=='0')
assert(verhoeff(tests[i]&'9',true,show_workings)!='0')
end for