Eertree: Difference between revisions

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→‎{{header|Phix}}: added syntax colouring, made p2js compatible
m (→‎{{header|Phix}}: added syntax colouring, made p2js compatible)
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=={{header|Phix}}==
If you use this in anger it may be wise to replace {string chars, sequence next} with a dictionary, which can obviously be either a new dictionary for each node, or perhaps better a single/per tree dictionary keyed on {n,ch}.
<!--<lang Phix>enum LEN,SUFF,CHARS,NEXT(phixonline)-->
<span style="color: #008080;">with</span> <span style="color: #008080;">javascript_semantics</span>
 
<span style="color: #008080;">enum</span> <span style="color: #000000;">LEN</span><span style="color: #0000FF;">,</span><span style="color: #000000;">SUFF</span><span style="color: #0000FF;">,</span><span style="color: #000000;">CHARS</span><span style="color: #0000FF;">,</span><span style="color: #000000;">NEXT</span>
function node(integer len, suffix=1, string chars="", sequence next={})
return {len,suffix,chars,next} -- must match above enum!
<span style="color: #008080;">function</span> <span style="color: #000000;">node</span><span style="color: #0000FF;">(</span><span style="color: #004080;">integer</span> <span style="color: #000000;">len</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">suffix</span><span style="color: #0000FF;">=</span><span style="color: #000000;">1</span><span style="color: #0000FF;">,</span> <span style="color: #004080;">string</span> <span style="color: #000000;">chars</span><span style="color: #0000FF;">=</span><span style="color: #008000;">""</span><span style="color: #0000FF;">,</span> <span style="color: #004080;">sequence</span> <span style="color: #000000;">next</span><span style="color: #0000FF;">={})</span>
end function
<span style="color: #008080;">return</span> <span style="color: #0000FF;">{</span><span style="color: #000000;">len</span><span style="color: #0000FF;">,</span><span style="color: #000000;">suffix</span><span style="color: #0000FF;">,</span><span style="color: #000000;">chars</span><span style="color: #0000FF;">,</span><span style="color: #000000;">next</span><span style="color: #0000FF;">}</span> <span style="color: #000080;font-style:italic;">-- must match above enum!</span>
 
<span style="color: #008080;">end</span> <span style="color: #008080;">function</span>
function eertree(string s)
sequence tree = {node(-1), -- odd lengths
<span style="color: #008080;">function</span> <span style="color: #000000;">eertree</span><span style="color: #0000FF;">(</span><span style="color: #004080;">string</span> <span style="color: #000000;">s</span><span style="color: #0000FF;">)</span>
node(0)} -- even lengths
<span style="color: #004080;">sequence</span> <span style="color: #000000;">tree</span> <span style="color: #0000FF;">=</span> <span style="color: #0000FF;">{</span><span style="color: #000000;">node</span><span style="color: #0000FF;">(-</span><span style="color: #000000;">1</span><span style="color: #0000FF;">),</span> <span style="color: #000080;font-style:italic;">-- odd lengths</span>
integer suff = 2 -- max suffix palindrome
<span style="color: #000000;">node</span><span style="color: #0000FF;">(</span><span style="color: #000000;">0</span><span style="color: #0000FF;">)}</span> <span style="color: #000080;font-style:italic;">-- even lengths</span>
 
<span style="color: #004080;">integer</span> <span style="color: #000000;">suff</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">2</span> <span style="color: #000080;font-style:italic;">-- max suffix palindrome</span>
for i=1 to length(s) do
integer cur = suff, curlen, ch = s[i], k
<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>
while (true) do
<span style="color: #004080;">integer</span> <span style="color: #000000;">cur</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">suff</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">curlen</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">ch</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: #000000;">k</span>
curlen = tree[cur][LEN]
<span style="color: #008080;">while</span> <span style="color: #0000FF;">(</span><span style="color: #004600;">true</span><span style="color: #0000FF;">)</span> <span style="color: #008080;">do</span>
k = i-1-curlen
<span style="color: #000000;">curlen</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">tree</span><span style="color: #0000FF;">[</span><span style="color: #000000;">cur</span><span style="color: #0000FF;">][</span><span style="color: #000000;">LEN</span><span style="color: #0000FF;">]</span>
if k>=1 and s[k]==ch then
<span style="color: #000000;">k</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;">curlen</span>
exit
<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;">and</span> <span style="color: #000000;">s</span><span style="color: #0000FF;">[</span><span style="color: #000000;">k</span><span style="color: #0000FF;">]==</span><span style="color: #000000;">ch</span> <span style="color: #008080;">then</span>
end if
cur <span style="color: tree[cur][SUFF]#008080;">exit</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
end while
<span style="color: #000000;">cur</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">tree</span><span style="color: #0000FF;">[</span><span style="color: #000000;">cur</span><span style="color: #0000FF;">][</span><span style="color: #000000;">SUFF</span><span style="color: #0000FF;">]</span>
k = find(ch,tree[cur][CHARS])
<span style="color: #008080;">end</span> <span style="color: #008080;">while</span>
if k then
<span style="color: #000000;">k</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">find</span><span style="color: #0000FF;">(</span><span style="color: #000000;">ch</span><span style="color: #0000FF;">,</span><span style="color: #000000;">tree</span><span style="color: #0000FF;">[</span><span style="color: #000000;">cur</span><span style="color: #0000FF;">][</span><span style="color: #000000;">CHARS</span><span style="color: #0000FF;">])</span>
suff = tree[cur][NEXT][k]
<span style="color: #008080;">if</span> <span style="color: #000000;">k</span> <span style="color: #008080;">then</span>
else
<span style="color: #000000;">suff</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">tree</span><span style="color: #0000FF;">[</span><span style="color: #000000;">cur</span><span style="color: #0000FF;">][</span><span style="color: #000000;">NEXT</span><span style="color: #0000FF;">][</span><span style="color: #000000;">k</span><span style="color: #0000FF;">]</span>
tree = append(tree,node(curlen+2))
<span suff style="color: length(tree)#008080;">else</span>
<span style="color: #000000;">tree</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">append</span><span style="color: #0000FF;">(</span><span style="color: #000000;">tree</span><span style="color: #0000FF;">,</span><span style="color: #000000;">node</span><span style="color: #0000FF;">(</span><span style="color: #000000;">curlen</span><span style="color: #0000FF;">+</span><span style="color: #000000;">2</span><span style="color: #0000FF;">))</span>
tree[cur][CHARS] &= ch
<span style="color: #000000;">suff</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">length</span><span style="color: #0000FF;">(</span><span style="color: #000000;">tree</span><span style="color: #0000FF;">)</span>
tree[cur][NEXT] &= suff
<span style="color: #000000;">tree</span><span style="color: #0000FF;">[</span><span style="color: #000000;">cur</span><span style="color: #0000FF;">][</span><span style="color: #000000;">CHARS</span><span style="color: #0000FF;">]</span> <span style="color: #0000FF;">&=</span> <span style="color: #000000;">ch</span>
 
<span style="color: #000000;">tree</span><span style="color: #0000FF;">[</span><span style="color: #000000;">cur</span><span style="color: #0000FF;">][</span><span style="color: #000000;">NEXT</span><span style="color: #0000FF;">]</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">deep_copy</span><span style="color: #0000FF;">(</span><span style="color: #000000;">tree</span><span style="color: #0000FF;">[</span><span style="color: #000000;">cur</span><span style="color: #0000FF;">][</span><span style="color: #000000;">NEXT</span><span style="color: #0000FF;">])&</span><span style="color: #000000;">suff</span>
if tree[suff][LEN]==1 then
tree[suff][SUFF] = 2
<span style="color: #008080;">if</span> <span style="color: #000000;">tree</span><span style="color: #0000FF;">[</span><span style="color: #000000;">suff</span><span style="color: #0000FF;">][</span><span style="color: #000000;">LEN</span><span style="color: #0000FF;">]==</span><span style="color: #000000;">1</span> <span style="color: #008080;">then</span>
else
<span style="color: #000000;">tree</span><span style="color: #0000FF;">[</span><span style="color: #000000;">suff</span><span style="color: #0000FF;">][</span><span style="color: #000000;">SUFF</span><span style="color: #0000FF;">]</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">2</span>
while (true) do
<span cur style="color: tree[cur][SUFF]#008080;">else</span>
<span style="color: #008080;">while</span> <span style="color: #0000FF;">(</span><span style="color: #004600;">true</span><span style="color: #0000FF;">)</span> <span style="color: #008080;">do</span>
curlen = tree[cur][LEN]
<span style="color: #000000;">cur</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">tree</span><span style="color: #0000FF;">[</span><span style="color: #000000;">cur</span><span style="color: #0000FF;">][</span><span style="color: #000000;">SUFF</span><span style="color: #0000FF;">]</span>
k = i-1-curlen
<span style="color: #000000;">curlen</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">tree</span><span style="color: #0000FF;">[</span><span style="color: #000000;">cur</span><span style="color: #0000FF;">][</span><span style="color: #000000;">LEN</span><span style="color: #0000FF;">]</span>
if k>=0 and s[k]==ch then
<span style="color: #000000;">k</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;">curlen</span>
k = find(ch,tree[cur][CHARS])
<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;">and</span> <span style="color: #000000;">s</span><span style="color: #0000FF;">[</span><span style="color: #000000;">k</span><span style="color: #0000FF;">]==</span><span style="color: #000000;">ch</span> <span style="color: #008080;">then</span>
if k then
<span style="color: #000000;">k</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">find</span><span style="color: #0000FF;">(</span><span style="color: #000000;">ch</span><span style="color: #0000FF;">,</span><span style="color: #000000;">tree</span><span style="color: #0000FF;">[</span><span style="color: #000000;">cur</span><span style="color: #0000FF;">][</span><span style="color: #000000;">CHARS</span><span style="color: #0000FF;">])</span>
tree[suff][SUFF] = tree[cur][NEXT][k]
<span style="color: #008080;">if</span> <span style="color: #000000;">k</span> <span style="color: #008080;">then</span>
end if
<span style="color: #000000;">tree</span><span style="color: #0000FF;">[</span><span style="color: #000000;">suff</span><span style="color: #0000FF;">][</span><span style="color: #000000;">SUFF</span><span style="color: #0000FF;">]</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">tree</span><span style="color: #0000FF;">[</span><span style="color: #000000;">cur</span><span style="color: #0000FF;">][</span><span style="color: #000000;">NEXT</span><span style="color: #0000FF;">][</span><span style="color: #000000;">k</span><span style="color: #0000FF;">]</span>
exit
<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
end while <span style="color: #008080;">exit</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
end if
<span style="color: #008080;">end</span> <span style="color: #008080;">while</span>
end if
<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
end for
<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
return tree
<span style="color: #008080;">end</span> <span style="color: #008080;">for</span>
end function
<span style="color: #008080;">return</span> <span style="color: #000000;">tree</span>
 
<span style="color: #008080;">end</span> <span style="color: #008080;">function</span>
function children(sequence s, tree, integer n, string root="")
for i=1 to length(tree[n][CHARS]) do
<span style="color: #008080;">function</span> <span style="color: #000000;">children</span><span style="color: #0000FF;">(</span><span style="color: #004080;">sequence</span> <span style="color: #000000;">s</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">tree</span><span style="color: #0000FF;">,</span> <span style="color: #004080;">integer</span> <span style="color: #000000;">n</span><span style="color: #0000FF;">,</span> <span style="color: #004080;">string</span> <span style="color: #000000;">root</span><span style="color: #0000FF;">=</span><span style="color: #008000;">""</span><span style="color: #0000FF;">)</span>
integer c = tree[n][CHARS][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: #7060A8;">length</span><span style="color: #0000FF;">(</span><span style="color: #000000;">tree</span><span style="color: #0000FF;">[</span><span style="color: #000000;">n</span><span style="color: #0000FF;">][</span><span style="color: #000000;">CHARS</span><span style="color: #0000FF;">])</span> <span style="color: #008080;">do</span>
nxt = tree[n][NEXT][i]
<span style="color: #004080;">integer</span> <span style="color: #000000;">c</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">tree</span><span style="color: #0000FF;">[</span><span style="color: #000000;">n</span><span style="color: #0000FF;">][</span><span style="color: #000000;">CHARS</span><span style="color: #0000FF;">][</span><span style="color: #000000;">i</span><span style="color: #0000FF;">],</span>
string p = iff(n=1 ? c&""
<span style="color: #000000;">nxt</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">tree</span><span style="color: #0000FF;">[</span><span style="color: #000000;">n</span><span style="color: #0000FF;">][</span><span style="color: #000000;">NEXT</span><span style="color: #0000FF;">][</span><span style="color: #000000;">i</span><span style="color: #0000FF;">]</span>
: c&root&c)
<span style="color: #004080;">string</span> <span style="color: #000000;">p</span> <span style="color: #0000FF;">=</span> <span style="color: #008080;">iff</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: #0000FF;">?</span> <span style="color: #000000;">c</span><span style="color: #0000FF;">&</span><span style="color: #008000;">""</span>
s = append(s, p)
<span style="color: #0000FF;">:</span> <span style="color: #000000;">c</span><span style="color: #0000FF;">&</span><span style="color: #000000;">root</span><span style="color: #0000FF;">&</span><span style="color: #000000;">c</span><span style="color: #0000FF;">)</span>
s = children(s, tree, nxt, p)
<span style="color: #000000;">s</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">append</span><span style="color: #0000FF;">(</span><span style="color: #000000;">s</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">p</span><span style="color: #0000FF;">)</span>
end for
<span style="color: #000000;">s</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">children</span><span style="color: #0000FF;">(</span><span style="color: #000000;">s</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">tree</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">nxt</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">p</span><span style="color: #0000FF;">)</span>
return s
<span style="color: #008080;">end</span> <span style="color: #008080;">for</span>
end function
<span style="color: #008080;">return</span> <span style="color: #000000;">s</span>
 
<span style="color: #008080;">end</span> <span style="color: #008080;">function</span>
procedure main()
sequence tree = eertree("eertree")
<span style="color: #008080;">procedure</span> <span style="color: #000000;">main</span><span style="color: #0000FF;">()</span>
puts(1,"tree:\n")
<span style="color: #004080;">sequence</span> <span style="color: #000000;">tree</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">eertree</span><span style="color: #0000FF;">(</span><span style="color: #008000;">"eertree"</span><span style="color: #0000FF;">)</span>
for i=1 to length(tree) do
<span style="color: #7060A8;">puts</span><span style="color: #0000FF;">(</span><span style="color: #000000;">1</span><span style="color: #0000FF;">,</span><span style="color: #008000;">"tree:\n"</span><span style="color: #0000FF;">)</span>
sequence ti = tree[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: #7060A8;">length</span><span style="color: #0000FF;">(</span><span style="color: #000000;">tree</span><span style="color: #0000FF;">)</span> <span style="color: #008080;">do</span>
ti[NEXT] = sprint(ti[NEXT])
<span style="color: #004080;">sequence</span> <span style="color: #000000;">ti</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">deep_copy</span><span style="color: #0000FF;">(</span><span style="color: #000000;">tree</span><span style="color: #0000FF;">[</span><span style="color: #000000;">i</span><span style="color: #0000FF;">])</span>
printf(1,"[%d]: len:%2d suffix:%d chars:%-5s next:%s\n",i&ti)
<span style="color: #000000;">ti</span><span style="color: #0000FF;">[</span><span style="color: #000000;">NEXT</span><span style="color: #0000FF;">]</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">sprint</span><span style="color: #0000FF;">(</span><span style="color: #000000;">ti</span><span style="color: #0000FF;">[</span><span style="color: #000000;">NEXT</span><span style="color: #0000FF;">])</span>
end for
<span style="color: #000000;">ti</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">i</span><span style="color: #0000FF;">&</span><span style="color: #000000;">ti</span>
puts(1,"\n")
<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;">"[%d]: len:%2d suffix:%d chars:%-5s next:%s\n"</span><span style="color: #0000FF;">,</span><span style="color: #000000;">ti</span><span style="color: #0000FF;">)</span>
 
<span style="color: #008080;">end</span> <span style="color: #008080;">for</span>
-- odd then even lengths:
<span style="color: #7060A8;">puts</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>
?children(children(s,tree,1), tree, 2)
end procedure
<span style="color: #000080;font-style:italic;">-- odd then even lengths:</span>
main()</lang>
<span style="color: #0000FF;">?</span><span style="color: #000000;">children</span><span style="color: #0000FF;">(</span><span style="color: #000000;">children</span><span style="color: #0000FF;">({},</span><span style="color: #000000;">tree</span><span style="color: #0000FF;">,</span><span style="color: #000000;">1</span><span style="color: #0000FF;">),</span> <span style="color: #000000;">tree</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">2</span><span style="color: #0000FF;">)</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">procedure</span>
<span style="color: #000000;">main</span><span style="color: #0000FF;">()</span>
<!--</lang>-->
{{out}}
The tree matches Fig 1 in the pdf linked above.
7,818

edits