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+\documentclass{article}
+\usepackage{axiom}
+\begin{document}
+\title{\$SPAD/src/interp word.boot}
+\author{The Axiom Team}
+\maketitle
+\begin{abstract}
+\end{abstract}
+\eject
+\tableofcontents
+\eject
+\section{License}
+<<license>>=
+-- Copyright (c) 1991-2002, The Numerical ALgorithms Group Ltd.
+-- All rights reserved.
+--
+-- Redistribution and use in source and binary forms, with or without
+-- modification, are permitted provided that the following conditions are
+-- met:
+--
+--     - Redistributions of source code must retain the above copyright
+--       notice, this list of conditions and the following disclaimer.
+--
+--     - Redistributions in binary form must reproduce the above copyright
+--       notice, this list of conditions and the following disclaimer in
+--       the documentation and/or other materials provided with the
+--       distribution.
+--
+--     - Neither the name of The Numerical ALgorithms Group Ltd. nor the
+--       names of its contributors may be used to endorse or promote products
+--       derived from this software without specific prior written permission.
+--
+-- THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS
+-- IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED
+-- TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A
+-- PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER
+-- OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
+-- EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
+-- PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
+-- PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF
+-- LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING
+-- NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+-- SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+
+@
+<<*>>=
+<<license>>
+
+--=======================================================================
+--                        Build Directories
+--=======================================================================
+buildFunctionTable(dicts) ==
+  sayKeyedMsg("S2GL0011",NIL)
+  buildWordTable getListOfFunctionNames dicts
+ 
+buildWordTable u ==
+  table:= MAKE_-HASHTABLE 'ID
+  for s in u repeat
+    key := UPCASE s.0
+    HPUT(table,key,[[s,:wordsOfString s],:HGET(table,key)])
+  for key in HKEYS table repeat
+    HPUT(table,key,
+      listSort(function GLESSEQP,removeDupOrderedAlist
+        listSort(function GLESSEQP, HGET(table,key),function CAR),
+          function CADR))
+  table
+ 
+writeFunctionTables(filemode) ==
+  $functionTable := NIL
+  writeFunctionTable(filemode,'SPADU,'(SPAD))
+  $functionTable := NIL
+  writeFunctionTable(filemode,'SPADD,'(SPADSYS))
+  $functionTable := NIL
+  writeFunctionTable(filemode,'SPADC,'(SPADSYS SCRATCHPAD_-COMPILER))
+  $functionTable := NIL
+  'done
+ 
+writeFunctionTable(filemode,name,dicts) ==
+  _$ERASE makePathname(name,'DATABASE,filemode)
+  stream:= writeLib1(name,'DATABASE,filemode)
+  if not $functionTable then
+    $functionTable:= buildFunctionTable dicts
+  for key in HKEYS $functionTable repeat
+    rwrite(object2Identifier key,HGET($functionTable,key),stream)
+  RSHUT stream
+  'done
+ 
+readFunctionTable() ==
+  sayKeyedMsg("S2GL0011",NIL)
+  name :=
+    $wordDictionary = 'user => 'SPADU
+    $wordDictionary = 'development => 'SPADD
+    'SPADC
+  stream:= readLib(name,'DATABASE)
+  table:= MAKE_-HASHTABLE 'ID
+  for key in RKEYIDS makePathname(name,'DATABASE,"*") repeat
+    HPUT(table,kk:=object2Identifier key, rread(kk,stream,nil))
+  RSHUT stream
+  table
+ 
+removeDupOrderedAlist u ==
+  -- removes duplicate entries in ordered alist
+  -- (where duplicates are adjacent)
+  for x in tails u repeat
+    (y := rest x) and first first x = first first y => RPLACD(x,rest y)
+  u
+ 
+getListOfFunctionNames(fnames) ==
+  -- fnames is a list of directories
+  res := nil
+  for fn in fnames repeat
+    null IOSTATE(fn,'DIRECT,'_*) => 'iterate
+    stream:= DEFIOSTREAM(['(MODE . INPUT),['FILE,fn,'DIRECT,'_*]],80,0)
+    while (not PLACEP (x:= READ_-LINE stream)) repeat
+      (s := SIZE x) < 26 => 'iterate
+      res:= [SUBSTRING(x,26,NIL),:res]
+    SHUT stream
+  res
+ 
+wordsOfString(s) == [UPCASE x for x in wordsOfStringKeepCase s]
+ 
+wordsOfStringKeepCase s == wordsOfString1(s,0) or [COPY s]
+ 
+wordsOfString1(s,j) ==
+  k := or/[i for i in j..SUB1(MAXINDEX(s)) | isBreakCharacter s.i] =>
+    tailWords:=
+      isBreakCharacter s.(k+1) =>
+        n:= or/[i for i in (k+2)..SUB1(MAXINDEX(s))|not isBreakCharacter s.i]
+        null n => [SUBSTRING(s,k,nil)]
+        n > k+1 => [SUBSTRING(s,k,n-k-1),:wordsOfString1(s,n-1)]
+      m := or/[i for i in (k+2)..SUB1(MAXINDEX(s)) | isBreakCharacter s.i] =>
+        [SUBSTRING(s,k,m-k),:wordsOfString1(s,m)]
+      [SUBSTRING(s,k,nil)]
+    k > j+1 => [SUBSTRING(s,j,k-j),:tailWords]
+    tailWords
+  nil
+ 
+isBreakCharacter x == null SMALL__LITER x
+ 
+-- SETANDFILEQ($functionTable,buildFunctionTable())
+ 
+--=======================================================================
+--               Augment Function Directories
+--=======================================================================
+add2WordFunctionTable fn ==
+--called from DEF
+  $functionTable and
+    null LASSOC(s := PNAME fn,HGET($functionTable,(key := UPCASE s.0))) =>
+      HPUT($functionTable,key,[[s,:wordsOfString s],:HGET($functionTable,key)])
+ 
+--=======================================================================
+--                       Guess Function Name
+--=======================================================================
+guess word ==
+  u := bootFind word => INTERN u
+  nil
+ 
+bootFind word ==
+  not $useWordFacility => NIL
+  list:= bootSearch word
+  PNAME word in list => nil --mismatch of directories: pretend it was not found
+  null list => centerAndHighlight('"no match found",80,'" ")
+  1 = #list => doYouWant? first list
+  pickANumber(word,list)
+ 
+doYouWant? nam ==
+  center80 ['"Do you mean",:bright nam,'"?"]
+  center80 ['"If so, type",:bright 'y,"or",:bright 'yes]
+  center80 ['"Anything else means",:bright 'no]
+  x := UPCASE queryUser nil
+  MEMQ(STRING2ID_-N(x,1),'(Y YES)) => nam
+  nil
+ 
+pickANumber(word,list) ==
+  clearScreen()
+  centerNoHighlight(['"You asked for",:bright word],80,'"-")
+  centerAndHighlight('"Do you mean one of the following?",80,'" ")
+  n:= #list
+  xx:= (n > 99 => 3; n > 9 => 2; 1)
+  maxWidth:= 38 - 2*(1+xx)
+  [short,long] := say2Split(list,nil,nil,maxWidth)
+  extra:=
+    REMAINDER(length := # short,2) ^= 0 => 1
+    0
+  halfLength:= length/2
+  firstList:= TAKE(halfLength,short)
+  secondList:= TAKE(-halfLength,short)
+  secondStartIndex:= halfLength + extra
+  shortList:=
+    "append"/[[[:bright i,fillerSpaces(xx-WIDTH i,'" "),x],
+      [:bright(i+secondStartIndex),fillerSpaces(xx-WIDTH (i+halfLength),'" "),y]]
+        for i in 1.. for x in firstList for y in secondList]
+  say2PerLineThatFit shortList
+  i:= 1 + halfLength
+  if extra=1 then
+    sayBrightly [:bright i,fillerSpaces(xx-WIDTH i,'" "),list.(i-1)]
+  for x in long for i in (1+length).. repeat
+    sayBrightly [:bright i,fillerSpaces(xx-WIDTH i,'" "),x]
+  center80 ['"If so: type a number between",:bright 1,'"and",:bright n,"and ENTER"]
+  center80 ['"Anything else means",:bright 'no]
+  y := queryUser nil
+  x:= string2Integer y
+  FIXP x and x >= 1 and x <= #list => list.(x-1)
+  nil
+ 
+bootSearch word ==
+--if not $functionTable then $functionTable:= buildFunctionTable()
+  if not $functionTable then $functionTable:= readFunctionTable()
+  key := PNAME word
+  list :=
+    hasWildCard? key =>
+      pattern := patternTran key -- converts * to &
+      pattern.0 ^= '_& =>
+        [x for [x,:.] in HGET($functionTable,UPCASE pattern.0)|
+          match?(pattern,COPY x)]
+      "append"/[[x for [x,:.] in HGET($functionTable,k)| match?(pattern,COPY x)]
+                  for k in HKEYS $functionTable]
+    findApproximateWords(PNAME word,$functionTable)
+  list
+ 
+findApproximateWords(word,table) ==
+  words:= wordsOfString word
+  upperWord:= UPCASE COPY word
+  n := #words
+  threshold:=
+    n = 1 => 3
+    4
+  alist:= HGET(table,UPCASE word.0)
+ 
+  --first try to break up as list of words
+  firstTry := [x for [x,:wordList] in alist | p] where p ==
+    n = #wordList =>
+      sum := 0
+      for entry in wordList for part in words while sum < threshold repeat
+        sum:= sum + deltaWordEntry(part,entry)
+      sum < threshold => true
+      n < 3 => false
+      sum := 0
+      badWord := false
+      for entry in wordList for part in words while sum < threshold repeat
+        k:= deltaWordEntry(part,entry)
+        k < 2 => sum:= sum + k
+        null badWord => badWord := true
+        sum := 1000
+      sum < threshold
+    n+1 = #wordList =>    --assume one word is missing
+      sum := 0
+      badWord := false
+      for entries in tails wordList for part in words
+           while sum < threshold repeat
+        entry := first entries
+        k:= deltaWordEntry(part,entry)
+        k < 2 => sum:= sum + k
+        null badWord =>
+          badWord := true
+          entries := rest entries      --skip this bad word
+          entry := first entries
+          k := deltaWordEntry(part,entry)
+          k < 2 => sum := sum + k
+          sum := 1000
+        sum := 1000
+      sum < threshold
+    n-1 = #wordList =>    --assume one word too many
+      sum := 0
+      badWord := false
+      for entry in wordList for parts in tails words
+           while sum < threshold repeat
+        part := first parts
+        k:= deltaWordEntry(part,entry)
+        k < 2 => sum:= sum + k
+        null badWord =>
+          badWord := true
+          parts := rest parts      --skip this bad word
+          part := first parts
+          k := deltaWordEntry(part,entry)
+          k < 2 => sum := sum + k
+          sum := 1000
+        sum := 1000
+      sum < threshold
+    false
+  firstTry => firstTry
+ 
+  --no winners, so try flattening to upper case and checking again
+ 
+  wordSize := SIZE word
+  lastThreshold := MAX(3,wordSize/2)
+  vec := GETREFV lastThreshold
+  for [x,:.] in alist repeat
+    k := deltaWordEntry(upperWord,UPCASE COPY x)
+    k < lastThreshold => vec.k := [x,:vec.k]
+  or/[vec.k for k in 0..MAXINDEX vec]
+ 
+guessFromList(key,stringList) ==
+  threshold := MAX(3,(SIZE key)/2)
+  vec := GETREFV threshold
+  for x in stringList repeat
+    k := deltaWordEntry(key,x)
+    k < threshold => vec.k := [x,:vec.k]
+  or/[vec.k for k in 0..MAXINDEX vec]
+ 
+deltaWordEntry(word,entry) ==
+  word = entry => 0
+  ABS(diff := SIZE word - SIZE entry) > 4 => 1000
+  canForgeWord(word,entry)
+ 
+--+ Note these are optimized definitions below-- see commented out versions
+--+   to understand the algorithm
+canForgeWord(word,entry) ==
+  forge(word,0,MAXINDEX word,entry,0,MAXINDEX entry,0)
+ 
+forge(word,w,W,entry,e,E,n) ==
+  w > W =>
+    e > E => n
+    QSADD1 QSPLUS(E-e,n)
+  e > E => QSADD1 QSPLUS(W-w,n)
+  word.w = entry.e => forge(word,w+1,W,entry,e+1,E,n)
+  w=W or e=E => forge(word,w+1,W,entry,e+1,E,QSADD1 n)
+  word.w=entry.(e+1) =>
+    word.(w+1) = entry.e => forge(word,w+2,W,entry,e+2,E,QSADD1 n)
+    forge(word,w+1,W,entry,e+2,E,QSADD1 n)
+  word.(w+1)=entry.e => forge(word,w+2,W,entry,e+1,E,QSADD1 n)
+ 
+  (deltaW := W-w) > 1 and (deltaE := E-e) > 1 =>
+    --if word is long, can we delete chars to match 2 consective chars
+    deltaW >= deltaE and
+      (k := or/[j for j in (w+2)..(W-1) | word.j = entry.e])
+        and word.(k+1) = entry.(e+1) =>
+          forge(word,k+2,W,entry,e+2,E,QSPLUS(k-w,n))
+    deltaW <= deltaE and
+    --if word is short, can we insert chars so as to match 2 consecutive chars
+      (k := or/[j for j in (e+2)..(E-1) | word.w = entry.j])
+        and word.(w+1) = entry.(k+1) =>
+          forge(word,w+2,W,entry,k+2,E,QSPLUS(n,k-e))
+    forge(word,w+1,W,entry,e+1,E,QSADD1 n)
+  --check for two consecutive matches down the line
+  forge(word,w+1,W,entry,e+1,E,QSADD1 n)
+ 
+--+ DO NOT REMOVE DEFINITIONS BELOW which explain the algorithm
+--+ canForgeWord(word,entry) ==--
+--+ [d,i,s,t] := forge(word,0,MAXINDEX word,entry,0,MAXINDEX entry,0,0,0,0)
+--+ --d=deletions, i=insertions, s=substitutions, t=transpositions
+--+ --list is formed only for tuning purposes-- remove later on
+--+ d + i + s + t
+ 
+--+forge(word,w,W,entry,e,E,d,i,s,t) ==
+--+  w > W =>
+--+    e > E => [d,i,s,t]
+--+    [d,E-e+i+1,s,t]
+--+  e > E => [W-w+d+1,i,s,t]
+--+  word.w = entry.e => forge(word,w+1,W,entry,e+1,E,d,i,s,t)
+--+  w=W or e=E => forge(word,w+1,W,entry,e+1,E,d,i,s+1,t)
+--+  word.w=entry.(e+1) =>
+--+    word.(w+1) = entry.e => forge(word,w+2,W,entry,e+2,E,d,i,s,t+1)
+--+    forge(word,w+1,W,entry,e+2,E,d,i+1,s,t)
+--+  word.(w+1)=entry.e => forge(word,w+2,W,entry,e+1,E,d+1,i,s,t)
+--+
+--+  (deltaW := W-w) > 1 and (deltaE := E-e) > 1 =>
+--+    --if word is long, can we delete chars to match 2 consective chars
+--+    deltaW >= deltaE and
+--+      (k := or/[j for j in (w+2)..(W-1) | word.j = entry.e])
+--+        and word.(k+1) = entry.(e+1) =>
+--+          forge(word,k+2,W,entry,e+2,E,d+k-w,i,s,t)
+--+    deltaW <= deltaE and
+--+    --if word is short, can we insert chars so as to match 2 consecutive chars
+--+      (k := or/[j for j in (e+2)..(E-1) | word.w = entry.j])
+--+        and word.(w+1) = entry.(k+1) =>
+--+          forge(word,w+2,W,entry,k+2,E,d,i+k-e,s,t)
+--+    forge(word,w+1,W,entry,e+1,E,d,i,s+1,t)
+--+  --check for two consecutive matches down the line
+--+  forge(word,w+1,W,entry,e+1,E,d,i,s+1,t)
+ 
+--=======================================================================
+--                          String Pattern Matching
+--=======================================================================
+patternTran pattern ==
+  null hasWildCard? pattern and LITER pattern.0 and
+    UPCASE copy pattern = pattern =>
+      name:= abbreviation? INTERN pattern
+        or browseError [:bright pattern,
+          '"is not a constructor abbreviation"]
+      DOWNCASE PNAME name
+  maskConvert DOWNCASE pattern
+ 
+hasWildCard? str ==
+  or/[str.i = '_? and (i=0 or not(str.(i-1) = '__ )) for i in 0..MAXINDEX str]
+ 
+maskConvert str ==
+--replace all ? not preceded by an underscore by &
+  buf:= GETSTR(#str)
+  j:= 0  --index into res
+  final := MAXINDEX str
+  for i in 0..final repeat
+    char := str.i
+    if char = '__ and i < final then
+      i:= i+1
+      char := str.i
+     else if char = '_? then char := '_&
+    SUFFIX(char,buf)
+  buf
+ 
+ 
+infix?(s,t,x) == #s + #t >= #x and prefix?(s,x) and suffix?(t,x)
+ 
+prefix?(s,t) == substring?(s,t,0)
+ 
+suffix?(s,t) ==
+  m := #s; n := #t
+  if m > n then return false
+  substring?(s,t,(n-m))
+ 
+obSearch x ==
+  vec:= OBARRAY()
+  pattern:= PNAME x
+  [y for i in 0..MAXINDEX OBARRAY() |
+    (IDENTP (y := vec.i) or CVEC y) and match?(pattern,COPY y)]
+ 
+@
+\eject
+\begin{thebibliography}{99}
+\bibitem{1} nothing
+\end{thebibliography}
+\end{document}