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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/input/aseg6.as.pamphlet
downloadopen-axiom-ab8cc85adde879fb963c94d15675783f2cf4b183.tar.gz
Initial population.
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+\documentclass{article}
+\usepackage{axiom}
+\begin{document}
+\title{\$SPAD/src/input aseg6.input}
+\author{The Axiom Team}
+\maketitle
+\begin{abstract}
+\end{abstract}
+\eject
+\tableofcontents
+\eject
+\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>>
+#include "axiom"
+
+C1: Category == with {
+ foo: % -> %;
+}
+
+C2(X: BasicType): Category == with {
+ foo: % -> X;
+ oof: X -> %;
+ foof: X -> X;
+
+ default {
+ foof(x: X): X == foo(oof x);
+ }
+
+}
+
+C3: Category == Join(Ring, C1) with {
+ foo2: % -> %
+}
+
+C4(X: Ring): Category == Join(Ring, C2 X) with {
+ foo2: % -> %;
+}
+
+
+D1: C1 with {
+ new: Integer -> %;
+} == add {
+ Rep ==> Integer;
+ import from Rep;
+
+ foo(x: %): % == x;
+ new(n: Integer): % == per n;
+}
+
+D2(X: BasicType): C1 with {
+ new: X -> %;
+} == add {
+ Rep ==> X;
+ foo(x: %): % == x;
+ new(n: X): % == per n;
+}
+
+D3: C2(Integer) with == add {
+ Rep ==> Integer;
+ X ==> Integer;
+
+ foo(x: %): X == rep x;
+ oof(x: X): % == per(x+1);
+}
+
+D4(X: BasicType): C2(X) with == add {
+ Rep ==> X;
+
+ foo(x: %): X == rep x;
+ oof(x: X): % == per x;
+}
+
+D5(X: Ring): Ring == X add {
+ Rep ==> X;
+ import from Rep;
+ (a: %) + (b: %): % == per(rep(a) + rep(b) + 1@Rep);
+}
+
+@
+\eject
+\begin{thebibliography}{99}
+\bibitem{1} nothing
+\end{thebibliography}
+\end{document}