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\documentclass{article}
\usepackage{open-axiom}
\begin{document}
\title{\$SPAD/src/algebra string.spad}
\author{Stephen M. Watt, Michael Monagan, Manuel Bronstein}
\maketitle
\begin{abstract}
\end{abstract}
\eject
\tableofcontents
\eject
\section{domain CHAR Character}
<<domain CHAR Character>>=
)abbrev domain CHAR Character
++ Author: Stephen M. Watt
++ Date Created: July 1986
++ Date Last Updated: June 20, 1991
++ Basic Operations: char
++ Related Domains:
++ Also See:
++ AMS Classifications:
++ Keywords: character, string
++ Examples:
++ References:
++ Description:
++ This domain provides the basic character data type.
Character: OrderedFinite() with
ord: % -> NonNegativeInteger
++ ord(c) provides an integral code corresponding to the
++ character c. It is always true that \spad{char ord c = c}.
char: NonNegativeInteger -> %
++ char(i) provides a character corresponding to the integer
++ code i. It is always true that \spad{ord char i = i}.
char: String -> %
++ char(s) provides a character from a string s of length one.
space: %
++ \spad{space} provides the blank character.
quote: %
++ \spad{quote} provides the string quote character, \spad{"}.
underscore: %
++ \spad{underscore} designates the underbar character.
newline: %
++ \spad{newline} designates the new line character.
carriageReturn: %
++ \spad{carriageReturn} designates carriage return.
linefeed: %
++ \spad{linefeed} designates the line feed character.
formfeed: %
++ \spad{formfeed} designates the form feed character.
backspace: %
++ \spad{backspace} designates the backspace character.
horizontalTab: %
++ \spad{horizontalTab} designates horizontal tab.
verticalTab: %
++ \spad{verticalTab} designates vertical tab.
escape: %
++ \spad{escape} designate the escape character.
upperCase: % -> %
++ upperCase(c) converts a lower case letter to the corresponding
++ upper case letter. If c is not a lower case letter, then
++ it is returned unchanged.
lowerCase: % -> %
++ lowerCase(c) converts an upper case letter to the corresponding
++ lower case letter. If c is not an upper case letter, then
++ it is returned unchanged.
digit?: % -> Boolean
++ digit?(c) tests if c is a digit character,
++ i.e. one of 0..9.
hexDigit?: % -> Boolean
++ hexDigit?(c) tests if c is a hexadecimal numeral,
++ i.e. one of 0..9, a..f or A..F.
alphabetic?: % -> Boolean
++ alphabetic?(c) tests if c is a letter,
++ i.e. one of a..z or A..Z.
upperCase?: % -> Boolean
++ upperCase?(c) tests if c is an upper case letter,
++ i.e. one of A..Z.
lowerCase?: % -> Boolean
++ lowerCase?(c) tests if c is an lower case letter,
++ i.e. one of a..z.
alphanumeric?: % -> Boolean
++ alphanumeric?(c) tests if c is either a letter or number,
++ i.e. one of 0..9, a..z or A..Z.
== add
-- We use the base Lisp's system base-char as a
-- the representation for this class.
CC ==> CharacterClass()
NNI ==> NonNegativeInteger
import CC
import %ceq: (%,%) -> Boolean from Foreign Builtin
import %clt: (%,%) -> Boolean from Foreign Builtin
import %cle: (%,%) -> Boolean from Foreign Builtin
import %cgt: (%,%) -> Boolean from Foreign Builtin
import %cge: (%,%) -> Boolean from Foreign Builtin
import %cup: % -> % from Foreign Builtin
import %cdown: % -> % from Foreign Builtin
import %c2i: % -> NNI from Foreign Builtin
import %i2c: NNI -> % from Foreign Builtin
import %ccst: String -> % from Foreign Builtin
import %s2c: String -> % from Foreign Builtin
import %c2s: % -> String from Foreign Builtin
import %strconc: (String,String) -> String from Foreign Builtin
a = b == %ceq(a,b)
a < b == %clt(a,b)
a > b == %cgt(a,b)
a <= b == %cle(a,b)
a >= b == %cge(a,b)
size() == 256
index n == char((n - 1)::NNI)
lookup c == (1 + ord c)::PositiveInteger
char(n: NNI) == %i2c n
ord c == %c2i c
random() == char(random(size())$NNI)
space == %ccst " "
quote == %ccst "_""
underscore == %ccst "__"
newline == %ccst "\n"
carriageReturn == %i2c 13
linefeed == %i2c 10
formfeed == %i2c 12
backspace == %i2c 8
horizontalTab == %i2c 9
verticalTab == %i2c 11
escape == %i2c 27
coerce(c:%):OutputForm == c : OutputForm
digit? c == member?(c, digit())
hexDigit? c == member?(c, hexDigit())
upperCase? c == member?(c, upperCase())
lowerCase? c == member?(c, lowerCase())
alphabetic? c == member?(c, alphabetic())
alphanumeric? c == member?(c, alphanumeric())
latex c ==
%strconc("\mbox{`", %strconc(%c2s c, "'}"))
char(s: String) ==
%s2c s
upperCase c ==
%cup c
lowerCase c ==
%cdown c
@
\section{domain CCLASS CharacterClass}
<<domain CCLASS CharacterClass>>=
import Character
import String
import List
)abbrev domain CCLASS CharacterClass
++ Author: Stephen M. Watt
++ Date Created: July 1986
++ Date Last Updated: June 20, 1991
++ Basic Operations: charClass
++ Related Domains: Character, Bits
++ Also See:
++ AMS Classifications:
++ Keywords:
++ Examples:
++ References:
++ Description:
++ This domain allows classes of characters to be defined and manipulated
++ efficiently.
CharacterClass: Join(SetCategory, ConvertibleTo String,
FiniteSetAggregate Character, ConvertibleTo List Character) with
charClass: String -> %
++ charClass(s) creates a character class which contains
++ exactly the characters given in the string s.
charClass: List Character -> %
++ charClass(l) creates a character class which contains
++ exactly the characters given in the list l.
digit: constant -> %
++ digit() returns the class of all characters
++ for which \spadfunFrom{digit?}{Character} is true.
hexDigit: constant -> %
++ hexDigit() returns the class of all characters for which
++ \spadfunFrom{hexDigit?}{Character} is true.
upperCase: constant -> %
++ upperCase() returns the class of all characters for which
++ \spadfunFrom{upperCase?}{Character} is true.
lowerCase: constant -> %
++ lowerCase() returns the class of all characters for which
++ \spadfunFrom{lowerCase?}{Character} is true.
alphabetic : constant -> %
++ alphabetic() returns the class of all characters for which
++ \spadfunFrom{alphabetic?}{Character} is true.
alphanumeric: constant -> %
++ alphanumeric() returns the class of all characters for which
++ \spadfunFrom{alphanumeric?}{Character} is true.
== add
Rep := IndexedBits(0)
N := size()$Character
a, b: %
digit() == charClass "0123456789"
hexDigit() == charClass "0123456789abcdefABCDEF"
upperCase() == charClass "ABCDEFGHIJKLMNOPQRSTUVWXYZ"
lowerCase() == charClass "abcdefghijklmnopqrstuvwxyz"
alphabetic() == union(upperCase(), lowerCase())
alphanumeric() == union(alphabetic(), digit())
a = b == a =$Rep b
member?(c, a) == a(ord c)
union(a,b) == Or(a, b)
intersect (a,b) == And(a, b)
difference(a,b) == And(a, Not b)
complement a == Not a
convert(cl):String ==
construct(convert(cl)@List(Character))
convert(cl:%):List(Character) ==
[char(i) for i in 0..N-1 | cl.i]
charClass(s: String) ==
cl := new(N, false)
for i in minIndex(s)..maxIndex(s) repeat cl(ord s.i) := true
cl
charClass(l: List Character) ==
cl := new(N, false)
for c in l repeat cl(ord c) := true
cl
coerce(cl):OutputForm == (convert(cl)@String)::OutputForm
-- Stuff to make a legal SetAggregate view
# a == (n := 0; for i in 0..N-1 | a.i repeat n := n+1; n)
empty():% == charClass []
brace():% == charClass []
insert!(c, a) == (a(ord c) := true; a)
remove!(c: Character, a:%) == (a(ord c) := false; a)
inspect(a) ==
for i in 0..N-1 | a.i repeat
return char i
error "Cannot take a character from an empty class."
extract!(a) ==
for i in 0..N-1 | a.i repeat
a.i := false
return char i
error "Cannot take a character from an empty class."
map(f, a) ==
b := new(N, false)
for i in 0..N-1 | a.i repeat b(ord f char i) := true
b
temp: % := new(N, false)$Rep
map!(f, a) ==
fill!(temp, false)
for i in 0..N-1 | a.i repeat temp(ord f char i) := true
copyInto!(a, temp, 0)
parts a ==
[char i for i in 0..N-1 | a.i]
@
\section{domain ISTRING IndexedString}
<<domain ISTRING IndexedString>>=
)abbrev domain ISTRING IndexedString
++ Authors: Stephen Watt, Michael Monagan, Manuel Bronstein 1986 .. 1991
-- The following Lisp dependencies are divided into two groups
-- Those that are required
-- MAKE-FULL-CVEC
-- Those that can are included for efficiency only
-- SUBSTRING STRPOS RPLACSTR
++ Description:
++ This domain implements low-level strings
IndexedString(mn:Integer): Export == Implementation where
B ==> Boolean
C ==> Character
I ==> Integer
N ==> NonNegativeInteger
U ==> UniversalSegment Integer
Export == StringAggregate()
Implementation == add
import %strlength: % -> N from Foreign Builtin
import %streq: (%,%) -> Boolean from Foreign Builtin
import %strlt: (%,%) -> Boolean from Foreign Builtin
import %ceq: (Character, Character) -> Boolean from Foreign Builtin
import %schar: (%,I) -> Character from Foreign Builtin
import %strconc: (%,%) -> % from Foreign Builtin
import %strcopy: % -> % from Foreign Builtin
import %strstc: (%,Integer,Character) -> Void from Foreign Builtin
import %hash : % -> SingleInteger from Foreign Builtin
c: Character
cc: CharacterClass
-- new n == MAKE_-FULL_-CVEC(n, space$C)$Lisp
new(n, c) == MAKE_-FULL_-CVEC(n, c)$Lisp
empty() == MAKE_-FULL_-CVEC(0@I)$Lisp
empty?(s) == %strlength s = 0
#s == %strlength s
s = t == %streq(s,t)
s < t == %strlt(s,t)
concat(s:%,t:%) == %strconc(s,t)
copy s == %strcopy s
insert(s:%, t:%, i:I) == concat(concat(s(mn..i-1), t), s(i..))
coerce(s:%):OutputForm == outputForm(s pretend String)
minIndex s == mn
upperCase! s == map!(upperCase, s)
lowerCase! s == map!(lowerCase, s)
latex s == concat("\mbox{``", concat(s pretend String, "''}"))
replace(s, sg, t) ==
l := lo(sg) - mn
m := #s
n := #t
h:I := if hasHi sg then hi(sg) - mn else maxIndex s - mn
negative? l or h >= m or h < l-1 => error "index out of range"
r := new((m-(h-l+1)+n)::N, space$C)
k: NonNegativeInteger := 0
for i in 0..l-1 repeat
%strstc(r, k, %schar(s, i))
k := k + 1
for i in 0..n-1 repeat
%strstc(r, k, %schar(t, i))
k := k + 1
for i in h+1..m-1 repeat
%strstc(r, k, %schar(s, i))
k := k + 1
r
setelt(s:%, i:I, c:C) ==
i < mn or i > maxIndex(s) => error "index out of range"
%strstc(s, i - mn, c)
c
substring?(part, whole, startpos) ==
np:I := %strlength part
nw:I := %strlength whole
negative?(startpos := startpos - mn) => error "index out of bounds"
np > nw - startpos => false
for ip in 0..np-1 for iw in startpos.. repeat
not %ceq(%schar(part, ip), %schar(whole, iw)) => return false
true
position(s:%, t:%, startpos:I) ==
negative?(startpos := startpos - mn) => error "index out of bounds"
startpos >= %strlength t => mn - 1
r:I := STRPOS(s, t, startpos, NIL$Lisp)$Lisp
%peq(r, NIL$Lisp)$Foreign(Builtin) => mn - 1
r + mn
position(c: Character, t: %, startpos: I) ==
negative?(startpos := startpos - mn) => error "index out of bounds"
startpos >= %strlength t => mn - 1
for r in startpos..%strlength t - 1 repeat
if %ceq(%schar(t, r), c) then return r + mn
mn - 1
position(cc: CharacterClass, t: %, startpos: I) ==
negative?(startpos := startpos - mn) => error "index out of bounds"
startpos >= %strlength t => mn - 1
for r in startpos..%strlength t - 1 repeat
if member?(%schar(t,r), cc) then return r + mn
mn - 1
suffix?(s, t) ==
(m := maxIndex s) > (n := maxIndex t) => false
substring?(s, t, mn + n - m)
split(s, c) ==
n := maxIndex s
i := mn
while i <= n and s.i = c repeat i := i + 1
l := empty()$List(%)
j:Integer -- j is conditionally intialized
while i <= n and (j := position(c, s, i)) >= mn repeat
l := concat(s(i..j-1), l)
i := j
while i <= n and s.i = c repeat i := i + 1
if i <= n then l := concat(s(i..n), l)
reverse! l
split(s, cc) ==
n := maxIndex s
i := mn
while i <= n and member?(s.i,cc) repeat i := i + 1
l := empty()$List(%)
j:Integer -- j is conditionally intialized
while i <= n and (j := position(cc, s, i)) >= mn repeat
l := concat(s(i..j-1), l)
i := j
while i <= n and member?(s.i,cc) repeat i := i + 1
if i <= n then l := concat(s(i..n), l)
reverse! l
leftTrim(s, c) ==
n := maxIndex s
i := mn
while i <= n and s.i = c repeat i := i + 1
s(i..n)
leftTrim(s, cc) ==
n := maxIndex s
i := mn
while i <= n and member?(s.i,cc) repeat i := i + 1
s(i..n)
rightTrim(s, c) ==
j := maxIndex s
while j >= mn and s.j = c repeat j := j - 1
s(minIndex(s)..j)
rightTrim(s, cc) ==
j := maxIndex s
while j >= mn and member?(s.j, cc) repeat j := j - 1
s(minIndex(s)..j)
concat l ==
t := new(+/[#s for s in l], space$C)
i := mn
for s in l repeat
copyInto!(t, s, i)
i := i + #s
t
copyInto!(y, x, s) ==
m := #x
n := #y
s := s - mn
negative? s or s+m > n => error "index out of range"
RPLACSTR(y, s, m, x, 0, m)$Lisp
y
elt(s:%, i:I) ==
i < mn or i > maxIndex(s) => error "index out of range"
%schar(s, i - mn)
elt(s:%, sg:U) ==
l := lo(sg) - mn
h := if hasHi sg then hi(sg) - mn else maxIndex s - mn
negative? l or h >= #s => error "index out of bound"
SUBSTRING(s, l, max(0, h-l+1))$Lisp
hash s ==
%hash s
match(pattern,target,wildcard) == stringMatch(pattern,target,CHARACTER(wildcard)$Lisp)$Lisp
@
Up to [[patch--40]] this read
\begin{verbatim}
match(pattern,target,wildcard) == stringMatch(pattern,target,wildcard)$Lisp
\end{verbatim}
which did not work (Issue~\#97), since [[wildcard]] is an Axiom-[[Character]],
not a Lisp-[[Character]]. The operation [[CHARACTER]] from [[Lisp]] performs
the coercion.
<<domain ISTRING IndexedString>>=
match?(pattern, target, dontcare) ==
n := maxIndex pattern
p := position(dontcare, pattern, m := minIndex pattern)::N
p = m-1 => pattern = target
(p ~= m) and not prefix?(pattern(m..p-1), target) => false
i := p -- index into target
q := position(dontcare, pattern, p + 1)::N
while q ~= m-1 repeat
s := pattern(p+1..q-1)
i := position(s, target, i)::N
i = m-1 => return false
i := i + #s
p := q
q := position(dontcare, pattern, q + 1)::N
(p ~= n) and not suffix?(pattern(p+1..n), target) => false
true
@
\section{domain STRING String}
<<domain STRING String>>=
)abbrev domain STRING String
++ Description:
++ This is the domain of character strings.
MINSTRINGINDEX ==> 1 -- as of 3/14/90.
String(): Public == Private where
Public == Join(StringAggregate(), OpenMath) with
string: Integer -> %
++ \spad{string i} returns the decimal representation of
++ \spad{i} in a string
string: DoubleFloat -> %
++ \spad{string f} returns the decimal representation of
++ \spad{f} in a string
Private == IndexedString(MINSTRINGINDEX) add
import %i2s: Integer -> % from Foreign Builtin
string(n: Integer) == %i2s n
string(f: DoubleFloat) == %f2s(f)$Foreign(Builtin)
OMwrite(x: %): String ==
s: String := ""
sp := OM_-STRINGTOSTRINGPTR(s)$Lisp
dev: OpenMathDevice := OMopenString(sp pretend String, OMencodingXML())
OMputObject(dev)
OMputString(dev, x pretend String)
OMputEndObject(dev)
OMclose(dev)
s := OM_-STRINGPTRTOSTRING(sp)$Lisp pretend String
s
OMwrite(x: %, wholeObj: Boolean): String ==
s: String := ""
sp := OM_-STRINGTOSTRINGPTR(s)$Lisp
dev: OpenMathDevice := OMopenString(sp pretend String, OMencodingXML())
if wholeObj then
OMputObject(dev)
OMputString(dev, x pretend String)
if wholeObj then
OMputEndObject(dev)
OMclose(dev)
s := OM_-STRINGPTRTOSTRING(sp)$Lisp pretend String
s
OMwrite(dev: OpenMathDevice, x: %): Void ==
OMputObject(dev)
OMputString(dev, x pretend String)
OMputEndObject(dev)
OMwrite(dev: OpenMathDevice, x: %, wholeObj: Boolean): Void ==
if wholeObj then
OMputObject(dev)
OMputString(dev, x pretend String)
if wholeObj then
OMputEndObject(dev)
@
\section{License}
<<license>>=
--Copyright (c) 1991-2002, The Numerical ALgorithms Group Ltd.
--All rights reserved.
-- Copyright (C) 2007-2010, Gabriel Dos Reis.
-- 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>>
<<domain CHAR Character>>
<<domain CCLASS CharacterClass>>
<<domain ISTRING IndexedString>>
<<domain STRING String>>
@
\eject
\begin{thebibliography}{99}
\bibitem{1} nothing
\end{thebibliography}
\end{document}
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