Suffix tree: Difference between revisions

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→‎{{header|Phix}}: syntax coloured, made p2js compatible
m (→‎{{header|Phix}}: syntax coloured, made p2js compatible)
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=={{header|Phix}}==
{{trans|D}}
<!--<lang Phix>(phixonline)-->
<lang Phix>-- tree nodes are simply {string substr, sequence children_idx}
<span style="color: #008080;">with</span> <span style="color: #008080;">javascript_semantics</span>
enum SUB=1, CHILDREN=2
<span style="color: #000080;font-style:italic;">-- tree nodes are simply {string substr, sequence children_idx}</span>
 
<span style="color: #008080;">enum</span> <span style="color: #000000;">SUB</span><span style="color: #0000FF;">=</span><span style="color: #000000;">1</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">CHILDREN</span><span style="color: #0000FF;">=</span><span style="color: #000000;">2</span>
function addSuffix(sequence t, string suffix)
int n = 1, i = 1
<span style="color: #008080;">function</span> <span style="color: #000000;">addSuffix</span><span style="color: #0000FF;">(</span><span style="color: #004080;">sequence</span> <span style="color: #000000;">t</span><span style="color: #0000FF;">,</span> <span style="color: #004080;">string</span> <span style="color: #000000;">suffix</span><span style="color: #0000FF;">)</span>
while i<=length(suffix) do
<span style="color: #004080;">int</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;">i</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">1</span>
integer ch = suffix[i], x2 = 1, n2
<span style="color: #008080;">while</span> <span style="color: #000000;">i</span><span style="color: #0000FF;"><=</span><span style="color: #7060A8;">length</span><span style="color: #0000FF;">(</span><span style="color: #000000;">suffix</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;">ch</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">suffix</span><span style="color: #0000FF;">[</span><span style="color: #000000;">i</span><span style="color: #0000FF;">],</span> <span style="color: #000000;">x2</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">1</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">n2</span>
sequence children = t[n][CHILDREN]
<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>
if x2>length(children) then
<span style="color: #004080;">sequence</span> <span style="color: #000000;">children</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;">CHILDREN</span><span style="color: #0000FF;">]</span>
-- no matching child, remainder of suffix becomes new node.
<span style="color: #008080;">if</span> <span style="color: #000000;">x2</span><span style="color: #0000FF;">></span><span style="color: #7060A8;">length</span><span style="color: #0000FF;">(</span><span style="color: #000000;">children</span><span style="color: #0000FF;">)</span> <span style="color: #008080;">then</span>
t = append(t,{suffix[i..$],{}})
<span style="color: #000080;font-style:italic;">-- no matching child, remainder of suffix becomes new node.</span>
t[n][CHILDREN] &= length(t)
<span style="color: #000000;">t</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">append</span><span style="color: #0000FF;">(</span><span style="color: #000000;">t</span><span style="color: #0000FF;">,{</span><span style="color: #000000;">suffix</span><span style="color: #0000FF;">[</span><span style="color: #000000;">i</span><span style="color: #0000FF;">..$],{}})</span>
return t
<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;">CHILDREN</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;">children</span><span style="color: #0000FF;">)&</span><span style="color: #7060A8;">length</span><span style="color: #0000FF;">(</span><span style="color: #000000;">t</span><span style="color: #0000FF;">)</span>
end if
<span style="color: #008080;">return</span> <span style="color: #000000;">t</span>
n2 = children[x2]
if t[n2][SUB][1]<span style==ch"color: then#008080;">end</span> exit<span endstyle="color: #008080;">if</span>
<span style="color: #000000;">n2</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">children</span><span style="color: #0000FF;">[</span><span style="color: #000000;">x2</span><span style="color: #0000FF;">]</span>
x2 += 1
<span style="color: #008080;">if</span> <span style="color: #000000;">t</span><span style="color: #0000FF;">[</span><span style="color: #000000;">n2</span><span style="color: #0000FF;">][</span><span style="color: #000000;">SUB</span><span style="color: #0000FF;">][</span><span style="color: #000000;">1</span><span style="color: #0000FF;">]==</span><span style="color: #000000;">ch</span> <span style="color: #008080;">then</span> <span style="color: #008080;">exit</span> <span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
end while
<span style="color: #000000;">x2</span> <span style="color: #0000FF;">+=</span> <span style="color: #000000;">1</span>
-- find prefix of remaining suffix in common with child
<span style="color: #008080;">end</span> <span style="color: #008080;">while</span>
string prefix = t[n2][SUB]
<span style="color: #000080;font-style:italic;">-- find prefix of remaining suffix in common with child</span>
int j = 0
<span style="color: #004080;">string</span> <span style="color: #000000;">prefix</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">t</span><span style="color: #0000FF;">[</span><span style="color: #000000;">n2</span><span style="color: #0000FF;">][</span><span style="color: #000000;">SUB</span><span style="color: #0000FF;">]</span>
while j<length(prefix) do
<span style="color: #004080;">int</span> <span style="color: #000000;">j</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">0</span>
if suffix[i+j]!=prefix[j+1] then
<span style="color: #008080;">while</span> <span style="color: #000000;">j</span><span style="color: #0000FF;"><</span><span style="color: #7060A8;">length</span><span style="color: #0000FF;">(</span><span style="color: #000000;">prefix</span><span style="color: #0000FF;">)</span> <span style="color: #008080;">do</span>
-- split n2: new node for the part in common
<span style="color: #008080;">if</span> <span style="color: #000000;">suffix</span><span style="color: #0000FF;">[</span><span style="color: #000000;">i</span><span style="color: #0000FF;">+</span><span style="color: #000000;">j</span><span style="color: #0000FF;">]!=</span><span style="color: #000000;">prefix</span><span style="color: #0000FF;">[</span><span style="color: #000000;">j</span><span style="color: #0000FF;">+</span><span style="color: #000000;">1</span><span style="color: #0000FF;">]</span> <span style="color: #008080;">then</span>
t = append(t,{prefix[1..j],{n2}})
<span style="color: #000080;font-style:italic;">-- split n2: oldnew node losesfor the part in common</span>
<span style="color: #000000;">t</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">append</span><span style="color: #0000FF;">(</span><span style="color: #000000;">t</span><span style="color: #0000FF;">,{</span><span style="color: #000000;">prefix</span><span style="color: #0000FF;">[</span><span style="color: #000000;">1</span><span style="color: #0000FF;">..</span><span style="color: #000000;">j</span><span style="color: #0000FF;">],{</span><span style="color: #000000;">n2</span><span style="color: #0000FF;">}})</span>
t[n2][SUB] = prefix[j+1..$]
<span style="color: #000080;font-style:italic;">-- andold childnode idxloses movesthe topart newlyin created nodecommon</span>
<span style="color: #000000;">t</span><span style="color: #0000FF;">[</span><span style="color: #000000;">n2</span><span style="color: #0000FF;">][</span><span style="color: #000000;">SUB</span><span style="color: #0000FF;">]</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">prefix</span><span style="color: #0000FF;">[</span><span style="color: #000000;">j</span><span style="color: #0000FF;">+</span><span style="color: #000000;">1</span><span style="color: #0000FF;">..$]</span>
n2 = length(t)
<span style="color: #000080;font-style:italic;">-- and child idx moves to newly created node</span>
t[n][CHILDREN][x2] = n2
<span style="color: #000000;">n2</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">length</span><span style="color: #0000FF;">(</span><span style="color: #000000;">t</span><span style="color: #0000FF;">)</span>
exit -- continue down the tree
<span style="color: #004080;">sequence</span> <span style="color: #000000;">children</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">deep_copy</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;">CHILDREN</span><span style="color: #0000FF;">])</span>
end if
<span style="color: #000000;">children</span><span style="color: #0000FF;">[</span><span style="color: #000000;">x2</span><span style="color: #0000FF;">]</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">n2</span>
j += 1
<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;">CHILDREN</span><span style="color: #0000FF;">]</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">children</span>
end while
<span style="color: #008080;">exit</span> <span style="color: #000080;font-style:italic;">-- continue down the tree</span>
i += j -- advance past part in common
<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
n = n2 -- continue down the tree
<span style="color: #000000;">j</span> <span style="color: #0000FF;">+=</span> <span style="color: #000000;">1</span>
end while
<span style="color: #008080;">end</span> <span style="color: #008080;">while</span>
return t
<span style="color: #000000;">i</span> <span style="color: #0000FF;">+=</span> <span style="color: #000000;">j</span> <span style="color: #000080;font-style:italic;">-- advance past part in common</span>
end function
<span style="color: #000000;">n</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">n2</span> <span style="color: #000080;font-style:italic;">-- continue down the tree</span>
 
<span style="color: #008080;">end</span> <span style="color: #008080;">while</span>
function SuffixTree(string s)
<span style="color: #008080;">return</span> <span style="color: #000000;">t</span>
sequence t = {{"",{}}}
<span style="color: #008080;">end</span> <span style="color: #008080;">function</span>
for i=1 to length(s) do
t = addSuffix(t,s[i..$])
<span style="color: #008080;">function</span> <span style="color: #000000;">SuffixTree</span><span style="color: #0000FF;">(</span><span style="color: #004080;">string</span> <span style="color: #000000;">s</span><span style="color: #0000FF;">)</span>
end for
<span style="color: #004080;">sequence</span> <span style="color: #000000;">t</span> <span style="color: #0000FF;">=</span> <span style="color: #0000FF;">{{</span><span style="color: #008000;">""</span><span style="color: #0000FF;">,{}}}</span>
return t
<span style="color: #008080;">for</span> <span style="color: #000000;">i</span><span style="color: #0000FF;">=</span><span style="color: #000000;">1</span> <span style="color: #008080;">to</span> <span style="color: #7060A8;">length</span><span style="color: #0000FF;">(</span><span style="color: #000000;">s</span><span style="color: #0000FF;">)</span> <span style="color: #008080;">do</span>
end function
<span style="color: #000000;">t</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">addSuffix</span><span style="color: #0000FF;">(</span><span style="color: #000000;">t</span><span style="color: #0000FF;">,</span><span style="color: #000000;">s</span><span style="color: #0000FF;">[</span><span style="color: #000000;">i</span><span style="color: #0000FF;">..$])</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">for</span>
procedure visualize(sequence t, integer n=1, string pre="")
<span style="color: #008080;">return</span> <span style="color: #000000;">t</span>
if length(t)=0 then
<span style="color: #008080;">end</span> <span style="color: #008080;">function</span>
printf(1,"<empty>\n");
return;
<span style="color: #008080;">procedure</span> <span style="color: #000000;">visualize</span><span style="color: #0000FF;">(</span><span style="color: #004080;">sequence</span> <span style="color: #000000;">t</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: #000000;">1</span><span style="color: #0000FF;">,</span> <span style="color: #004080;">string</span> <span style="color: #000000;">pre</span><span style="color: #0000FF;">=</span><span style="color: #008000;">""</span><span style="color: #0000FF;">)</span>
end if
<span style="color: #008080;">if</span> <span style="color: #7060A8;">length</span><span style="color: #0000FF;">(</span><span style="color: #000000;">t</span><span style="color: #0000FF;">)=</span><span style="color: #000000;">0</span> <span style="color: #008080;">then</span>
sequence children = t[n][CHILDREN]
<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;">"&lt;empty&gt;\n"</span><span style="color: #0000FF;">);</span>
if length(children)=0 then
<span style="color: #008080;">return</span><span style="color: #0000FF;">;</span>
printf(1,"- %s\n", {t[n][SUB]})
<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
return
<span style="color: #004080;">sequence</span> <span style="color: #000000;">children</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;">CHILDREN</span><span style="color: #0000FF;">]</span>
end if
<span style="color: #008080;">if</span> <span style="color: #7060A8;">length</span><span style="color: #0000FF;">(</span><span style="color: #000000;">children</span><span style="color: #0000FF;">)=</span><span style="color: #000000;">0</span> <span style="color: #008080;">then</span>
printf(1,"+ %s\n", {t[n][SUB]})
<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\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: #000000;">SUB</span><span style="color: #0000FF;">]})</span>
integer l = length(children)
<span style="color: #008080;">return</span>
for i=1 to l do
<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
puts(1,pre&"+-")
<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\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: #000000;">SUB</span><span style="color: #0000FF;">]})</span>
visualize(t,children[i],pre&iff(i=l?" ":"| "))
<span style="color: #004080;">integer</span> <span style="color: #000000;">l</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">length</span><span style="color: #0000FF;">(</span><span style="color: #000000;">children</span><span style="color: #0000FF;">)</span>
end for
<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;">l</span> <span style="color: #008080;">do</span>
end procedure
<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: #000000;">pre</span><span style="color: #0000FF;">&</span><span style="color: #008000;">"+-"</span><span style="color: #0000FF;">)</span>
 
<span style="color: #000000;">visualize</span><span style="color: #0000FF;">(</span><span style="color: #000000;">t</span><span style="color: #0000FF;">,</span><span style="color: #000000;">children</span><span style="color: #0000FF;">[</span><span style="color: #000000;">i</span><span style="color: #0000FF;">],</span><span style="color: #000000;">pre</span><span style="color: #0000FF;">&</span><span style="color: #008080;">iff</span><span style="color: #0000FF;">(</span><span style="color: #000000;">i</span><span style="color: #0000FF;">=</span><span style="color: #000000;">l</span><span style="color: #0000FF;">?</span><span style="color: #008000;">" "</span><span style="color: #0000FF;">:</span><span style="color: #008000;">"| "</span><span style="color: #0000FF;">))</span>
sequence t = SuffixTree("banana$")
<span style="color: #008080;">end</span> <span style="color: #008080;">for</span>
visualize(t)</lang>
<span style="color: #008080;">end</span> <span style="color: #008080;">procedure</span>
<span style="color: #004080;">sequence</span> <span style="color: #000000;">t</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">SuffixTree</span><span style="color: #0000FF;">(</span><span style="color: #008000;">"banana$"</span><span style="color: #0000FF;">)</span>
<span style="color: #000000;">visualize</span><span style="color: #0000FF;">(</span><span style="color: #000000;">t</span><span style="color: #0000FF;">)</span>
<!--</lang>-->
{{out}}
<pre>
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