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-rw-r--r--src/algebra/expr.spad.pamphlet6
-rw-r--r--src/algebra/fspace.spad.pamphlet3
-rw-r--r--src/algebra/kl.spad.pamphlet7
-rw-r--r--src/algebra/op.spad.pamphlet69
-rw-r--r--src/algebra/term.spad.pamphlet10
5 files changed, 50 insertions, 45 deletions
diff --git a/src/algebra/expr.spad.pamphlet b/src/algebra/expr.spad.pamphlet
index fa8cfe82..5124454a 100644
--- a/src/algebra/expr.spad.pamphlet
+++ b/src/algebra/expr.spad.pamphlet
@@ -231,8 +231,7 @@ Expression(R:OrderedSet): Exports == Implementation where
belong?(op)$FSD => operator(op)$FSD
belong?(op)$ESD => operator(op)$ESD
nullary? op and has?(op, SYMBOL) => operator(kernel(name op)$K)
- (n := arity op) case "failed" => operator name op
- operator(name op, n::NonNegativeInteger)
+ operator(name op, arity op)
reduc(x, l) ==
for k in l repeat
@@ -365,8 +364,7 @@ Expression(R:OrderedSet): Exports == Implementation where
belong?(op)$FSD => operator(op)$FSD
belong?(op)$ESD => operator(op)$ESD
nullary? op and has?(op, SYMBOL) => operator(kernel(name op)$K)
- (n := arity op) case "failed" => operator name op
- operator(name op, n::NonNegativeInteger)
+ operator(name op, arity op)
if R has Ring then
Rep := MP
diff --git a/src/algebra/fspace.spad.pamphlet b/src/algebra/fspace.spad.pamphlet
index 4ba47d9d..4b1aafa4 100644
--- a/src/algebra/fspace.spad.pamphlet
+++ b/src/algebra/fspace.spad.pamphlet
@@ -256,8 +256,7 @@ ExpressionSpace(): Category == Defn where
elt(op:OP, args:List %) ==
not belong? op => error "Unknown operator"
- ((u := arity op) case N) and (#args ~= u::N)
- => error "Wrong number of arguments"
+ (#args)::Arity ~= arity op => error "Wrong number of arguments"
(v := evaluate(op,args)$BasicOperatorFunctions1(%)) case % => v::%
okkernel(op, args)
diff --git a/src/algebra/kl.spad.pamphlet b/src/algebra/kl.spad.pamphlet
index e4091c90..9180b693 100644
--- a/src/algebra/kl.spad.pamphlet
+++ b/src/algebra/kl.spad.pamphlet
@@ -147,7 +147,7 @@ MakeCachableSet(S:SetCategory): Exports == Implementation where
++ Operators applied to elements of a set
++ Author: Manuel Bronstein
++ Date Created: 22 March 1988
-++ Date Last Updated: 10 August 1994
+++ Date Last Updated: May 09, 2009
++ Description:
++ A kernel over a set S is an operator applied to a given list
++ of arguments from S.
@@ -230,8 +230,7 @@ Kernel(S:OrderedSet): Exports == Implementation where
k1.posit < k2.posit
kernel(fn, x, n) ==
- ((u := arity fn) case N) and (#x ~= u::N)
- => error "Wrong number of arguments"
+ (#x)::Arity ~= arity fn => error "Wrong number of arguments"
enterInCache([fn, x, n, 0]$Rep, triage)
-- SPECIALDISP contains a map List S -> OutputForm
@@ -308,6 +307,8 @@ KernelFunctions2(R:OrderedSet, S:OrderedSet): with
<<license>>=
--Copyright (c) 1991-2002, The Numerical ALgorithms Group Ltd.
--All rights reserved.
+--Copyright (C) 2007-2009, 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
diff --git a/src/algebra/op.spad.pamphlet b/src/algebra/op.spad.pamphlet
index 10f34a74..b5d9da45 100644
--- a/src/algebra/op.spad.pamphlet
+++ b/src/algebra/op.spad.pamphlet
@@ -2,20 +2,20 @@
\usepackage{axiom}
\begin{document}
\title{\$SPAD/src/algebra op.spad}
-\author{Manuel Bronstein}
+\author{Manuel Bronstein \and Gabriel Dos~Reis}
\maketitle
\begin{abstract}
\end{abstract}
-\eject
\tableofcontents
\eject
+
\section{domain BOP BasicOperator}
<<domain BOP BasicOperator>>=
)abbrev domain BOP BasicOperator
++ Basic system operators
-++ Author: Manuel Bronstein
+++ Author: Manuel Bronstein, Gabriel Dos Reis
++ Date Created: 22 March 1988
-++ Date Last Updated: 11 October 1993
+++ Date Last Updated: May 09, 2009
++ Description:
++ A basic operator is an object that can be applied to a list of
++ arguments from a set, the result being a kernel over that set.
@@ -32,9 +32,7 @@ BasicOperator(): Exports == Implementation where
DISPLAY ==> "%display"
SEXPR ==> "%input"
- Exports ==> OrderedSet with
- name : $ -> Symbol
- ++ name(op) returns the name of op.
+ Exports == Join(OrderedSet, OperatorCategory Symbol) with
properties: $ -> P
++ properties(op) returns the list of all the properties
++ currently attached to op.
@@ -44,9 +42,9 @@ BasicOperator(): Exports == Implementation where
++ operator(f) makes f into an operator with arbitrary arity.
operator : (Symbol, NonNegativeInteger) -> $
++ operator(f, n) makes f into an n-ary operator.
- arity : $ -> Union(NonNegativeInteger, "failed")
- ++ arity(op) returns n if op is n-ary, and
- ++ "failed" if op has arbitrary arity.
+ operator : (Symbol, Arity) -> $
+ ++ \spad{operator(f, a)} makes \spad{f} into an operator
+ ++ of arity \spad{a}.
nullary? : $ -> Boolean
++ nullary?(op) tests if op is nullary.
unary? : $ -> Boolean
@@ -119,29 +117,30 @@ BasicOperator(): Exports == Implementation where
++ Argument op is modified "in place", i.e. no copy is made.
Implementation ==> add
+ import Arity
-- if narg < 0 then the operator ahs variable arity.
- Rep := Record(opname:Symbol, narg:SingleInteger, props:P)
-
- oper: (Symbol, SingleInteger, P) -> $
+ Rep == Record(opname:Symbol, narg: Arity, props:P)
is?(op, s) == name(op) = s
- name op == op.opname
- properties op == op.props
- setProperties(op, l) == (op.props := l; op)
- operator s == oper(s, -1::SingleInteger, table())
- operator(s, n) == oper(s, n::Integer::SingleInteger, table())
- property(op: %, name: String) == search(name, op.props)
+ name op == rep(op).opname
+ properties op == rep(op).props
+ setProperties(op, l) ==
+ rep(op).props := l
+ op
+ operator(s: Symbol) == per [s, arbitrary(), table()]
+ operator(s: Symbol, n: NonNegativeInteger) == per [s, n::Arity, table()]
+ operator(s: Symbol, a: Arity) == per [s, a, table()]
+ property(op: %, name: String) == search(name, rep(op).props)
property(op: %, p: Identifier) ==
- case search(STRING(p)$Lisp, op.props) is
+ case search(STRING(p)$Lisp, rep(op).props) is
val@None => just val
otherwise => nothing
assert(op, s) == setProperty(op, s, NIL$Lisp)
- has?(op, name) == key?(name, op.props)
- oper(se, n, prop) == [se, n, prop]
+ has?(op, name) == key?(name, rep(op).props)
weight(op, n) == setProperty(op, WEIGHT, n pretend None)
- nullary? op == zero?(op.narg)
- unary? op == one?(op.narg)
- nary? op == negative?(op.narg)
+ nullary? op == zero? rep(op).narg
+ unary? op == one? rep(op).narg
+ nary? op == arbitrary() = rep(op).narg
equality(op, func) == setProperty(op, EQUAL?, func pretend None)
comparison(op, func) == setProperty(op, LESS?, func pretend None)
display(op:$, f:O -> O) == display(op, f first #1)
@@ -149,9 +148,11 @@ BasicOperator(): Exports == Implementation where
deleteProperty!(op: %, p: Identifier) ==
remove!(STRING(p)$Foreign(Builtin), properties op)
op
- setProperty(op: %, name: String, valu: None) == (op.props.name := valu; op)
+ setProperty(op: %, name: String, valu: None) ==
+ rep(op).props.name := valu
+ op
setProperty(op: %, p: Identifier, valu: None) ==
- op.props.(STRING(p)$Foreign(Builtin)@String) := valu
+ rep(op).props.(STRING(p)$Foreign(Builtin)@String) := valu
op
coerce(op:$):OutputForm == name(op)::OutputForm
input(op:$, f:List SEX -> SEX) == setProperty(op, SEXPR, f pretend None)
@@ -165,19 +166,17 @@ BasicOperator(): Exports == Implementation where
(u := property(op, SEXPR)) case "failed" => "failed"
(u::None) pretend (List SEX -> SEX)
- arity op ==
- negative?(n := op.narg) => "failed"
- convert(n)@Integer :: NonNegativeInteger
+ arity op == rep(op).narg
copy op ==
- oper(name op, op.narg,
- table([[r.key, r.entry] for r in entries(properties op)@L]$L))
+ per [name op, rep(op).narg,
+ table([[r.key, r.entry] for r in entries(properties op)@L]$L)]
-- property EQUAL? contains a function f: (BOP, BOP) -> Boolean
-- such that f(o1, o2) is true iff o1 = o2
op1 = op2 ==
name(op1) ~= name(op2) => false
- op1.narg ~= op2.narg => false
+ rep(op1).narg ~= rep(op2).narg => false
brace(keys properties op1)~=$Set(String) brace(keys properties op2) => false
(func := property(op1, EQUAL?)) case None =>
((func::None) pretend (($, $) -> Boolean)) (op1, op2)
@@ -193,7 +192,9 @@ BasicOperator(): Exports == Implementation where
-- such that f(o1, o2) is true iff o1 < o2
op1 < op2 ==
(w1 := weight op1) ~= (w2 := weight op2) => w1 < w2
- op1.narg ~= op2.narg => op1.narg < op2.narg
+ rep(op1).narg ~= rep(op2).narg =>
+ -- FIXME: Horrible.
+ (rep(op1).narg pretend SingleInteger) < (rep(op2).narg pretend SingleInteger)
name(op1) ~= name(op2) => name(op1) < name(op2)
n1 := #(k1 := brace(keys(properties op1))$Set(String))
n2 := #(k2 := brace(keys(properties op2))$Set(String))
diff --git a/src/algebra/term.spad.pamphlet b/src/algebra/term.spad.pamphlet
index ff88acfe..6a9071c7 100644
--- a/src/algebra/term.spad.pamphlet
+++ b/src/algebra/term.spad.pamphlet
@@ -21,7 +21,7 @@
)abbrev domain ARITY Arity
++ Author: Gabriel Dos Reis
++ Date Created: December 04, 2008
-++ Date Last Updated: December 04, 2008
+++ Date Last Updated: May 09, 2009
++ Description:
++ This domain implements the arity of a function or an operator,
++ e.g. the number of arguments that an operator can take. An
@@ -33,9 +33,15 @@ Arity(): Public == Private where
arbitrary: %
++ aribitrary is the arity of a function that accepts any
++ number of arguments.
+ zero?: % -> Boolean
+ ++ \spad{zero? a} holds if \spad{a} is the arity of niladic function.
+ one?: % -> Boolean
+ ++ \spad{one? a} holds if \spad{a} is the arity of nullary function.
Private == add
Rep == SingleInteger
arbitrary == per(-1)
+ zero? a == zero? rep a
+ one? a == one? rep a
hash x == hash rep x
x = y == rep x = rep y
coerce(x: %): OutputForm ==
@@ -78,7 +84,7 @@ OperatorCategory(S: SetCategory): Category ==
\section{License}
<<license>>=
---Copyright (C) 2007-2008, Gabriel Dos Reis
+--Copyright (C) 2007-2009, Gabriel Dos Reis
--All rights reserved.
--
--Redistribution and use in source and binary forms, with or without
generated by cgit v1.2.3 (git 2.39.1) at 2024-12-26 10:25:27 +0000