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De Bruijn sequences: Difference between revisions

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De Bruijn sequences (view source)

Revision as of 15:39, 19 May 2021

12,755 bytes added ,  3 years ago
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→‎{{header|Phix}}: added syntax colouring the hard way
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<!--<lang Phix>string deBruijn = ""(phixonline)-->
<span style="color: #004080;">string</span> <span style="color: #000000;">deBruijn</span> <span style="color: #0000FF;">=</span> <span style="color: #008000;">""</span>
for n=0 to 99 do
<span style="color: #008080;">for</span> <span style="color: #000000;">n</span><span style="color: #0000FF;">=</span><span style="color: #000000;">0</span> <span style="color: #008080;">to</span> <span style="color: #000000;">99</span> <span style="color: #008080;">do</span>
string a = sprintf("%02d",n)
<span style="color: #004080;">string</span> <span style="color: #000000;">a</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">sprintf</span><span style="color: #0000FF;">(</span><span style="color: #008000;">"%02d"</span><span style="color: #0000FF;">,</span><span style="color: #000000;">n</span><span style="color: #0000FF;">)</span>
integer {a1,a2} = a
<span style="color: #004080;">integer</span> <span style="color: #000000;">a1</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">a</span><span style="color: #0000FF;">[</span><span style="color: #000000;">1</span><span style="color: #0000FF;">],</span>
if a2>=a1 then
<span style="color: #000000;">a2</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">a</span><span style="color: #0000FF;">[</span><span style="color: #000000;">2</span><span style="color: #0000FF;">]</span>
deBruijn &= iff(a1=a2?a1:a)
<span style="color: #008080;">if</span> <span style="color: #000000;">a2</span><span style="color: #0000FF;">>=</span><span style="color: #000000;">a1</span> <span style="color: #008080;">then</span>
for m=n+1 to 99 do
<span style="color: #000000;">deBruijn</span> <span style="color: #0000FF;">&=</span> <span style="color: #008080;">iff</span><span style="color: #0000FF;">(</span><span style="color: #000000;">a1</span><span style="color: #0000FF;">=</span><span style="color: #000000;">a2</span><span style="color: #0000FF;">?</span><span style="color: #000000;">a1</span><span style="color: #0000FF;">:</span><span style="color: #000000;">a</span><span style="color: #0000FF;">)</span>
string ms = sprintf("%02d",m)
<span style="color: #008080;">for</span> <span style="color: #000000;">m</span><span style="color: #0000FF;">=</span><span style="color: #000000;">n</span><span style="color: #0000FF;">+</span><span style="color: #000000;">1</span> <span style="color: #008080;">to</span> <span style="color: #000000;">99</span> <span style="color: #008080;">do</span>
if ms[2]>a1 then
<span style="color: #004080;">string</span> <span style="color: #000000;">ms</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">sprintf</span><span style="color: #0000FF;">(</span><span style="color: #008000;">"%02d"</span><span style="color: #0000FF;">,</span><span style="color: #000000;">m</span><span style="color: #0000FF;">)</span>
deBruijn &= a&ms
<span style="color: #008080;">if</span> <span style="color: #000000;">ms</span><span style="color: #0000FF;">[</span><span style="color: #000000;">2</span><span style="color: #0000FF;">]></span><span style="color: #000000;">a1</span> <span style="color: #008080;">then</span>
end if
<span style="color: #000000;">deBruijn</span> <span style="color: #0000FF;">&=</span> <span style="color: #000000;">a</span><span style="color: #0000FF;">&</span><span style="color: #000000;">ms</span>
end for
<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
end if
<span style="color: #008080;">end</span> <span style="color: #008080;">for</span>
end for
<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
deBruijn &= "000"
<span style="color: #008080;">end</span> <span style="color: #008080;">for</span>
printf(1,"de Bruijn sequence length: %d\n\n",length(deBruijn))
<span style="color: #000000;">deBruijn</span> <span style="color: #0000FF;">&=</span> <span style="color: #008000;">"000"</span>
printf(1,"First 130 characters:\n%s\n\n",deBruijn[1..130])
<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;">"de Bruijn sequence length: %d\n\n"</span><span style="color: #0000FF;">,</span><span style="color: #7060A8;">length</span><span style="color: #0000FF;">(</span><span style="color: #000000;">deBruijn</span><span style="color: #0000FF;">))</span>
printf(1,"Last 130 characters:\n%s\n\n",deBruijn[-130..-1])
<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;">"First 130 characters:\n%s\n\n"</span><span style="color: #0000FF;">,</span><span style="color: #000000;">deBruijn</span><span style="color: #0000FF;">[</span><span style="color: #000000;">1</span><span style="color: #0000FF;">..</span><span style="color: #000000;">130</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;">"Last 130 characters:\n%s\n\n"</span><span style="color: #0000FF;">,</span><span style="color: #000000;">deBruijn</span><span style="color: #0000FF;">[-</span><span style="color: #000000;">130</span><span style="color: #0000FF;">..-</span><span style="color: #000000;">1</span><span style="color: #0000FF;">])</span>
function check(string text)
sequence res = {}
<span style="color: #008080;">function</span> <span style="color: #000000;">check</span><span style="color: #0000FF;">(</span><span style="color: #004080;">string</span> <span style="color: #000000;">text</span><span style="color: #0000FF;">)</span>
sequence found = repeat(0,10000)
<span style="color: #004080;">sequence</span> <span style="color: #000000;">res</span> <span style="color: #0000FF;">=</span> <span style="color: #0000FF;">{}</span>
integer k
<span style="color: #004080;">sequence</span> <span style="color: #000000;">found</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">repeat</span><span style="color: #0000FF;">(</span><span style="color: #000000;">0</span><span style="color: #0000FF;">,</span><span style="color: #000000;">10000</span><span style="color: #0000FF;">)</span>
for i=1 to length(text)-3 do
<span style="color: #004080;">integer</span> <span style="color: #000000;">k</span>
k = to_integer(text[i..i+3],-1)+1
<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;">text</span><span style="color: #0000FF;">)-</span><span style="color: #000000;">3</span> <span style="color: #008080;">do</span>
if k!=0 then found[k] += 1 end if
<span style="color: #000000;">k</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">to_integer</span><span style="color: #0000FF;">(</span><span style="color: #000000;">text</span><span style="color: #0000FF;">[</span><span style="color: #000000;">i</span><span style="color: #0000FF;">..</span><span style="color: #000000;">i</span><span style="color: #0000FF;">+</span><span style="color: #000000;">3</span><span style="color: #0000FF;">],-</span><span style="color: #000000;">1</span><span style="color: #0000FF;">)+</span><span style="color: #000000;">1</span>
end for
<span style="color: #008080;">if</span> <span style="color: #000000;">k</span><span style="color: #0000FF;">!=</span><span style="color: #000000;">0</span> <span style="color: #008080;">then</span> <span style="color: #000000;">found</span><span style="color: #0000FF;">[</span><span style="color: #000000;">k</span><span style="color: #0000FF;">]</span> <span style="color: #0000FF;">+=</span> <span style="color: #000000;">1</span> <span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
for i=1 to 10000 do
<span style="color: #008080;">end</span> <span style="color: #008080;">for</span>
k = found[i]
<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;">10000</span> <span style="color: #008080;">do</span>
if k!=1 then
<span style="color: #000000;">k</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">found</span><span style="color: #0000FF;">[</span><span style="color: #000000;">i</span><span style="color: #0000FF;">]</span>
string e = sprintf("Pin number %04d ",i-1)
<span style="color: #008080;">if</span> <span style="color: #000000;">k</span><span style="color: #0000FF;">!=</span><span style="color: #000000;">1</span> <span style="color: #008080;">then</span>
e &= iff(k=0?"missing":sprintf("occurs %d times",k))
<span style="color: #004080;">string</span> <span style="color: #000000;">e</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">sprintf</span><span style="color: #0000FF;">(</span><span style="color: #008000;">"Pin number %04d "</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>
res = append(res,e)
<span style="color: #000000;">e</span> <span style="color: #0000FF;">&=</span> <span style="color: #008080;">iff</span><span style="color: #0000FF;">(</span><span style="color: #000000;">k</span><span style="color: #0000FF;">=</span><span style="color: #000000;">0</span><span style="color: #0000FF;">?</span><span style="color: #008000;">"missing"</span><span style="color: #0000FF;">:</span><span style="color: #7060A8;">sprintf</span><span style="color: #0000FF;">(</span><span style="color: #008000;">"occurs %d times"</span><span style="color: #0000FF;">,</span><span style="color: #000000;">k</span><span style="color: #0000FF;">))</span>
end if
<span style="color: #000000;">res</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">append</span><span style="color: #0000FF;">(</span><span style="color: #000000;">res</span><span style="color: #0000FF;">,</span><span style="color: #000000;">e</span><span style="color: #0000FF;">)</span>
end for
<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
k = length(res)
<span style="color: #008080;">end</span> <span style="color: #008080;">for</span>
if k=0 then
<span style="color: #000000;">k</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">length</span><span style="color: #0000FF;">(</span><span style="color: #000000;">res</span><span style="color: #0000FF;">)</span>
res = "No errors found"
<span style="color: #008080;">if</span> <span style="color: #000000;">k</span><span style="color: #0000FF;">=</span><span style="color: #000000;">0</span> <span style="color: #008080;">then</span>
else
<span style="color: #000000;">res</span> <span style="color: #0000FF;">=</span> <span style="color: #008000;">"No errors found"</span>
string s = iff(k=1?"":"s")
<span style="color: #008080;">else</span>
res = sprintf("%d error%s found:\n ",{k,s})&join(res,"\n ")
<span style="color: #004080;">string</span> <span style="color: #000000;">s</span> <span style="color: #0000FF;">=</span> <span style="color: #008080;">iff</span><span style="color: #0000FF;">(</span><span style="color: #000000;">k</span><span style="color: #0000FF;">=</span><span style="color: #000000;">1</span><span style="color: #0000FF;">?</span><span style="color: #008000;">""</span><span style="color: #0000FF;">:</span><span style="color: #008000;">"s"</span><span style="color: #0000FF;">)</span>
end if
<span style="color: #000000;">res</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">sprintf</span><span style="color: #0000FF;">(</span><span style="color: #008000;">"%d error%s found:\n "</span><span style="color: #0000FF;">,{</span><span style="color: #000000;">k</span><span style="color: #0000FF;">,</span><span style="color: #000000;">s</span><span style="color: #0000FF;">})&</span><span style="color: #7060A8;">join</span><span style="color: #0000FF;">(</span><span style="color: #000000;">res</span><span style="color: #0000FF;">,</span><span style="color: #008000;">"\n "</span><span style="color: #0000FF;">)</span>
return res
<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
end function
<span style="color: #008080;">return</span> <span style="color: #000000;">res</span>
 
<span style="color: #008080;">end</span> <span style="color: #008080;">function</span>
printf(1,"Missing 4 digit PINs in this sequence: %s\n", check(deBruijn))
printf(1,"Missing 4 digit PINs in the reversed sequence: %s\n",check(reverse(deBruijn)))
<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;">"Missing 4 digit PINs in this sequence: %s\n"</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">check</span><span style="color: #0000FF;">(</span><span style="color: #000000;">deBruijn</span><span style="color: #0000FF;">))</span>
printf(1,"4444th digit in the sequence: %c (setting it to .)\n", deBruijn[4444])
<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;">"Missing 4 digit PINs in the reversed sequence: %s\n"</span><span style="color: #0000FF;">,</span><span style="color: #000000;">check</span><span style="color: #0000FF;">(</span><span style="color: #7060A8;">reverse</span><span style="color: #0000FF;">(</span><span style="color: #000000;">deBruijn</span><span style="color: #0000FF;">)))</span>
deBruijn[4444] = '.'
<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;">"4444th digit in the sequence: %c (setting it to .)\n"</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">deBruijn</span><span style="color: #0000FF;">[</span><span style="color: #000000;">4444</span><span style="color: #0000FF;">])</span>
printf(1,"Re-running checks: %s\n",check(deBruijn))</lang>
<span style="color: #000000;">deBruijn</span><span style="color: #0000FF;">[</span><span style="color: #000000;">4444</span><span style="color: #0000FF;">]</span> <span style="color: #0000FF;">=</span> <span style="color: #008000;">'.'</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;">"Re-running checks: %s\n"</span><span style="color: #0000FF;">,</span><span style="color: #000000;">check</span><span style="color: #0000FF;">(</span><span style="color: #000000;">deBruijn</span><span style="color: #0000FF;">))</span>
<!--</lang>-->
{{out}}
<pre>
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