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\documentclass{article}
\usepackage{axiom}
\begin{document}
\title{\$SPAD/src/algebra lmdict.spad}
\author{Michael Monagan, Frederic Lehobey}
\maketitle
\begin{abstract}
\end{abstract}
\eject
\tableofcontents
\eject
\section{domain LMDICT ListMultiDictionary}
<<domain LMDICT ListMultiDictionary>>=
)abbrev domain LMDICT ListMultiDictionary
++ Author: MBM Nov/87, MB Oct/89
++ Date Created:
++ Date Last Updated: 13 June 1994 Frederic Lehobey
++ Basic Operations:
++ Related Constructors:
++ Also See:
++ AMS Classifications:
++ Keywords:
++ References:
++ Description: The \spadtype{ListMultiDictionary} domain implements a
++ dictionary with duplicates
++ allowed. The representation is a list with duplicates represented
++ explicitly. Hence most operations will be relatively inefficient
++ when the number of entries in the dictionary becomes large.
-- The operations \spadfun{pick}, \spadfun{count} and \spadfun{delete} can be used to iterate
-- over the objects in the dictionary.
-- [FDLL : those functions have not been implemented in the parent Categories]
++ If the objects in the
++ dictionary belong to an ordered set, the entries are maintained in
++ ascending order.
NNI ==> NonNegativeInteger
D ==> Record(entry:S, count:NonNegativeInteger)
ListMultiDictionary(S:SetCategory): MultiDictionary(S) with
finiteAggregate
duplicates?: % -> Boolean
++ duplicates?(d) tests if dictionary d has duplicate entries.
substitute : (S, S, %) -> %
++ substitute(x,y,d) replace x's with y's in dictionary d.
== add
Rep := Reference List S
sub: (S, S, S) -> S
coerce(s:%):OutputForm ==
prefix("dictionary"::OutputForm, [x::OutputForm for x in parts s])
#s == # parts s
copy s == dictionary copy parts s
empty? s == empty? parts s
bag l == dictionary l
dictionary() == dictionary empty()
empty():% == ref empty()
dictionary(ls:List S):% ==
empty? ls => empty()
lmd := empty()
for x in ls repeat insert_!(x,lmd)
lmd
if S has ConvertibleTo InputForm then
convert(lmd:%):InputForm ==
convert [convert("dictionary"::Symbol)@InputForm,
convert(parts lmd)@InputForm]
map(f, s) == dictionary map(f, parts s)
map_!(f, s) == dictionary map_!(f, parts s)
parts s == deref s
sub(x, y, z) == (z = x => y; z)
insert_!(x, s, n) == (for i in 1..n repeat insert_!(x, s); s)
substitute(x, y, s) == dictionary map(sub(x, y, #1), parts s)
removeDuplicates_! s == dictionary removeDuplicates_! parts s
inspect s ==
empty? s => error "empty dictionary"
first parts s
extract_! s ==
empty? s => error "empty dictionary"
x := first(p := parts s)
setref(s, rest p)
x
duplicates? s ==
empty?(p := parts s) => false
q := rest p
while not empty? q repeat
first p = first q => return true
p := q
q := rest q
false
remove_!(p: S->Boolean, lmd:%):% ==
for x in removeDuplicates parts lmd | p(x) repeat remove_!(x,lmd)
lmd
select_!(p: S->Boolean, lmd:%):% == remove_!(not p(#1), lmd)
duplicates(lmd:%):List D ==
ld: List D := empty()
for x in removeDuplicates parts lmd | (n := count(x, lmd)) >
1$NonNegativeInteger repeat
ld := cons([x, n], ld)
ld
if S has OrderedSet then
s = t == parts s = parts t
remove_!(x:S, s:%) ==
p := deref s
while not empty? p and x = first p repeat p := rest p
setref(s, p)
empty? p => s
q := rest p
while not empty? q and x > first q repeat (p := q; q := rest q)
while not empty? q and x = first q repeat q := rest q
p.rest := q
s
insert_!(x, s) ==
p := deref s
empty? p or x < first p =>
setref(s, concat(x, p))
s
q := rest p
while not empty? q and x > first q repeat (p := q; q := rest q)
p.rest := concat(x, q)
s
else
remove_!(x:S, s:%) == (setref(s, remove_!(x, parts s)); s)
s = t ==
a := copy s
while not empty? a repeat
x := inspect a
count(x, s) ~= count(x, t) => return false
remove_!(x, a)
true
insert_!(x, s) ==
p := deref s
while not empty? p repeat
x = first p =>
p.rest := concat(x, rest p)
return s
p := rest p
setref(s, concat(x, deref s))
s
@
\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>>
<<domain LMDICT ListMultiDictionary>>
@
\eject
\begin{thebibliography}{99}
\bibitem{1} nothing
\end{thebibliography}
\end{document}
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