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\documentclass{article}
\usepackage{open-axiom}
\begin{document}
\title{\$SPAD/src/algebra sex.spad}
\author{Stephen M. Watt}
\maketitle
\begin{abstract}
\end{abstract}
\eject
\tableofcontents
\eject
\section{category SEXCAT SExpressionCategory}
<<category SEXCAT SExpressionCategory>>=
)abbrev category SEXCAT SExpressionCategory
++ Category for Lisp values
++ Author: S.M.Watt
++ Date Created: July 1987
++ Date Last Modified: 23 May 1991
++ Description:
++ This category allows the manipulation of Lisp values while keeping
++ the grunge fairly localized.
-- The coerce to expression lets the
-- values be displayed in the usual parenthesized way (displaying
-- them as type Expression can cause the formatter to die, since
-- certain magic cookies are in unexpected places).
-- SMW July 87
SExpressionCategory(Str, Sym, Int, Flt, Expr): Category == Decl where
Str, Sym, Int, Flt, Expr: SetCategory
Decl == Join(SetCategory,ConvertibleFrom Str, ConvertibleFrom Sym,_
ConvertibleFrom Int, ConvertibleFrom Flt,_
ConvertibleFrom Flt, ConvertibleFrom Expr,_
ConvertibleFrom List %, Eltable(Integer,%),_
Eltable(List Integer, %)) with
eq: (%,%) -> Boolean
++ eq(s, t) is true if %peq(s,t) is true for pointers.
null?: % -> Boolean
++ null?(s) is true if s is the S-expression ().
atom?: % -> Boolean
++ atom?(s) is true if s is a Lisp atom.
pair?: % -> Boolean
++ pair?(s) is true if s has is a non-null Lisp list.
list?: % -> Boolean
++ list?(s) is true if s is a Lisp list, possibly ().
string?: % -> Boolean
++ string?(s) is true if s is an atom and belong to Str.
symbol?: % -> Boolean
++ symbol?(s) is true if s is an atom and belong to Sym.
integer?: % -> Boolean
++ integer?(s) is true if s is an atom and belong to Int.
float?: % -> Boolean
++ float?(s) is true if s is an atom and belong to Flt.
destruct: % -> List %
++ destruct((a1,...,an)) returns the list [a1,...,an].
string: % -> Str
++ string(s) returns s as an element of Str.
++ Error: if s is not an atom that also belongs to Str.
symbol: % -> Sym
++ symbol(s) returns s as an element of Sym.
++ Error: if s is not an atom that also belongs to Sym.
integer: % -> Int
++ integer(s) returns s as an element of Int.
++ Error: if s is not an atom that also belongs to Int.
float: % -> Flt
++ float(s) returns s as an element of Flt;
++ Error: if s is not an atom that also belongs to Flt.
expr: % -> Expr
++ expr(s) returns s as an element of Expr;
++ Error: if s is not an atom that also belongs to Expr.
car: % -> %
++ car((a1,...,an)) returns a1.
cdr: % -> %
++ cdr((a1,...,an)) returns \spad{(a2,...,an)}.
#: % -> Integer
++ #((a1,...,an)) returns n.
@
\section{domain SEXOF SExpressionOf}
<<domain SEXOF SExpressionOf>>=
)abbrev domain SEXOF SExpressionOf
++ Domain for Lisp values over arbitrary atomic types
++ Author: S.M.Watt
++ Date Created: July 1987
++ Date Last Modified: 23 May 1991
++ Description:
++ This domain allows the manipulation of Lisp values over
++ arbitrary atomic types.
-- Allows the names of the atomic types to be chosen.
-- *** Warning *** Although the parameters are declared only to be Sets,
-- *** Warning *** they must have the appropriate representations.
SExpressionOf(Str, Sym, Int, Flt, Expr): Decl == Body where
Str, Sym, Int, Flt, Expr: SetCategory
Decl ==> SExpressionCategory(Str, Sym, Int, Flt, Expr)
Body ==> add
import %integer?: % -> Boolean from Foreign Builtin
import %float?: % -> Boolean from Foreign Builtin
import %string?: % -> Boolean from Foreign Builtin
import %ident?: % -> Boolean from Foreign Builtin
import %pair?: % -> Boolean from Foreign Builtin
import %peq: (%,%) -> Boolean from Foreign Builtin
import %head: % -> % from Foreign Builtin
import %tail: % -> % from Foreign Builtin
import %llength: % -> Integer from Foreign Builtin
import %nil: % from Foreign Builtin
import %equal: (%,%) -> Boolean from Foreign Builtin
Rep := Expr
dotex:OutputForm := INTERN(".")$Lisp
coerce(b:%):OutputForm ==
null? b => paren empty()
string? b => string(b)::OutputForm
atom? b => coerce(b)$Rep
r := b
while not atom? r repeat r := cdr r
l : List %
l1 := [b1::OutputForm for b1 in (l := destruct b)]
not null? r =>
paren blankSeparate concat!(l1, [dotex, r::OutputForm])
#l = 2 and (first(l1) = QUOTE)@Boolean => quote first rest l1
paren blankSeparate l1
b1 = b2 == %equal(b1,b2)
eq(b1, b2) == %peq(b1,b2)
null? b == %peq(b,%nil)
atom? b == not pair? b
pair? b == %pair? b
list? b == pair? b or null? b
string? b == %string? b
symbol? b == %ident? b
integer? b == %integer? b
float? b == %float? b
destruct b == (list? b => b pretend List %; error "Non-list")
string b == (%string? b => b pretend Str; error "Non-string")
symbol b == (%ident? b => b pretend Sym;error "Non-symbol")
float b == (%float? b => b pretend Flt;error "Non-float")
integer b == (%integer? b => b pretend Int;error "Non-integer")
expr b == b pretend Expr
convert(l: List %) == l pretend %
convert(st: Str) == st pretend %
convert(sy: Sym) == sy pretend %
convert(n: Int) == n pretend %
convert(f: Flt) == f pretend %
convert(e: Expr) == e pretend %
car b == %head b
cdr b == %tail b
# b == %llength b
elt(b:%, i:Integer) == destruct(b).i
elt(b:%, li:List Integer) ==
for i in li repeat b := destruct(b).i
b
@
\section{domain SEX SExpression}
<<domain SEX SExpression>>=
)abbrev domain SEX SExpression
++ Domain for the standard Lisp values
++ Author: S.M.Watt
++ Date Created: July 1987
++ Date Last Modified: 23 May 1991
++ Description:
++ This domain allows the manipulation of the usual Lisp values;
SExpression()
== SExpressionOf(String, Symbol, Integer, DoubleFloat, OutputForm)
@
\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>>
<<category SEXCAT SExpressionCategory>>
<<domain SEXOF SExpressionOf>>
<<domain SEX SExpression>>
@
\eject
\begin{thebibliography}{99}
\bibitem{1} nothing
\end{thebibliography}
\end{document}
|
