aboutsummaryrefslogtreecommitdiff
path: root/src/algebra/variable.spad.pamphlet
diff options
context:
space:
mode:
authordos-reis <gdr@axiomatics.org>2007-08-14 05:14:52 +0000
committerdos-reis <gdr@axiomatics.org>2007-08-14 05:14:52 +0000
commitab8cc85adde879fb963c94d15675783f2cf4b183 (patch)
treec202482327f474583b750b2c45dedfc4e4312b1d /src/algebra/variable.spad.pamphlet
downloadopen-axiom-ab8cc85adde879fb963c94d15675783f2cf4b183.tar.gz
Initial population.
Diffstat (limited to 'src/algebra/variable.spad.pamphlet')
-rw-r--r--src/algebra/variable.spad.pamphlet146
1 files changed, 146 insertions, 0 deletions
diff --git a/src/algebra/variable.spad.pamphlet b/src/algebra/variable.spad.pamphlet
new file mode 100644
index 00000000..0f50171d
--- /dev/null
+++ b/src/algebra/variable.spad.pamphlet
@@ -0,0 +1,146 @@
+\documentclass{article}
+\usepackage{axiom}
+\begin{document}
+\title{\$SPAD/src/algebra variable.spad}
+\author{The Axiom Team}
+\maketitle
+\begin{abstract}
+\end{abstract}
+\eject
+\tableofcontents
+\eject
+\section{domain OVAR OrderedVariableList}
+<<domain OVAR OrderedVariableList>>=
+)abbrev domain OVAR OrderedVariableList
+++ Description:
+++ This domain implements ordered variables
+OrderedVariableList(VariableList:List Symbol):
+ Join(OrderedFinite, ConvertibleTo Symbol, ConvertibleTo InputForm,
+ ConvertibleTo Pattern Float, ConvertibleTo Pattern Integer) with
+ variable: Symbol -> Union(%,"failed")
+ ++ variable(s) returns a member of the variable set or failed
+ == add
+ VariableList := removeDuplicates VariableList
+ Rep := PositiveInteger
+ s1,s2:%
+ convert(s1):Symbol == VariableList.((s1::Rep)::PositiveInteger)
+ coerce(s1):OutputForm == (convert(s1)@Symbol)::OutputForm
+ convert(s1):InputForm == convert(convert(s1)@Symbol)
+ convert(s1):Pattern(Integer) == convert(convert(s1)@Symbol)
+ convert(s1):Pattern(Float) == convert(convert(s1)@Symbol)
+ index i == i::%
+ lookup j == j :: Rep
+ size () == #VariableList
+ variable(exp:Symbol) ==
+ for i in 1.. for exp2 in VariableList repeat
+ if exp=exp2 then return i::PositiveInteger::%
+ "failed"
+ s1 < s2 == s2 <$Rep s1
+ s1 = s2 == s1 =$Rep s2
+ latex(x:%):String == latex(convert(x)@Symbol)
+
+@
+\section{domain VARIABLE Variable}
+<<domain VARIABLE Variable>>=
+)abbrev domain VARIABLE Variable
+++ Description:
+++ This domain implements variables
+Variable(sym:Symbol): Join(SetCategory, CoercibleTo Symbol) with
+ coerce : % -> Symbol
+ ++ coerce(x) returns the symbol
+ variable: () -> Symbol
+ ++ variable() returns the symbol
+ == add
+ coerce(x:%):Symbol == sym
+ coerce(x:%):OutputForm == sym::OutputForm
+ variable() == sym
+ x = y == true
+ latex(x:%):String == latex sym
+
+@
+\section{domain RULECOLD RuleCalled}
+<<domain RULECOLD RuleCalled>>=
+)abbrev domain RULECOLD RuleCalled
+++ Description:
+++ This domain implements named rules
+RuleCalled(f:Symbol): SetCategory with
+ name: % -> Symbol
+ ++ name(x) returns the symbol
+ == add
+ name r == f
+ coerce(r:%):OutputForm == f::OutputForm
+ x = y == true
+ latex(x:%):String == latex f
+
+@
+\section{domain FUNCTION FunctionCalled}
+<<domain FUNCTION FunctionCalled>>=
+)abbrev domain FUNCTION FunctionCalled
+++ Description:
+++ This domain implements named functions
+FunctionCalled(f:Symbol): SetCategory with
+ name: % -> Symbol
+ ++ name(x) returns the symbol
+ == add
+ name r == f
+ coerce(r:%):OutputForm == f::OutputForm
+ x = y == true
+ latex(x:%):String == latex f
+
+@
+\section{domain ANON AnonymousFunction}
+<<domain ANON AnonymousFunction>>=
+)abbrev domain ANON AnonymousFunction
+++ Description:
+++ This domain implements anonymous functions
+AnonymousFunction():SetCategory == add
+ coerce(x:%):OutputForm == x pretend 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>>
+
+<<domain VARIABLE Variable>>
+<<domain RULECOLD RuleCalled>>
+<<domain FUNCTION FunctionCalled>>
+<<domain OVAR OrderedVariableList>>
+<<domain ANON AnonymousFunction>>
+@
+\eject
+\begin{thebibliography}{99}
+\bibitem{1} nothing
+\end{thebibliography}
+\end{document}