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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/algebra/sortpak.spad.pamphlet
downloadopen-axiom-ab8cc85adde879fb963c94d15675783f2cf4b183.tar.gz
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+\documentclass{article}
+\usepackage{axiom}
+\begin{document}
+\title{\$SPAD/src/algebra sortpak.spad}
+\author{The Axiom Team}
+\maketitle
+\begin{abstract}
+\end{abstract}
+\eject
+\tableofcontents
+\eject
+\section{package SORTPAK SortPackage}
+<<package SORTPAK SortPackage>>=
+)abbrev package SORTPAK SortPackage
+++ Description:
+++ This package exports sorting algorithnms
+SortPackage(S,A) : Exports == Implementation where
+ S: Type
+ A: IndexedAggregate(Integer,S)
+ with (finiteAggregate; shallowlyMutable)
+
+ Exports == with
+ bubbleSort_!: (A,(S,S) -> Boolean) -> A
+ ++ bubbleSort!(a,f) \undocumented
+ insertionSort_!: (A, (S,S) -> Boolean) -> A
+ ++ insertionSort!(a,f) \undocumented
+ if S has OrderedSet then
+ bubbleSort_!: A -> A
+ ++ bubbleSort!(a) \undocumented
+ insertionSort_!: A -> A
+ ++ insertionSort! \undocumented
+
+ Implementation == add
+ bubbleSort_!(m,f) ==
+ n := #m
+ for i in 1..(n-1) repeat
+ for j in n..(i+1) by -1 repeat
+ if f(m.j,m.(j-1)) then swap_!(m,j,j-1)
+ m
+ insertionSort_!(m,f) ==
+ for i in 2..#m repeat
+ j := i
+ while j > 1 and f(m.j,m.(j-1)) repeat
+ swap_!(m,j,j-1)
+ j := (j - 1) pretend PositiveInteger
+ m
+ if S has OrderedSet then
+ bubbleSort_!(m) == bubbleSort_!(m,_<$S)
+ insertionSort_!(m) == insertionSort_!(m,_<$S)
+ if A has UnaryRecursiveAggregate(S) then
+ bubbleSort_!(m,fn) ==
+ empty? m => m
+ l := m
+ while not empty? (r := l.rest) repeat
+ r := bubbleSort_!(r,fn)
+ x := l.first
+ if fn(r.first,x) then
+ l.first := r.first
+ r.first := x
+ l.rest := r
+ l := l.rest
+ m
+
+@
+\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>>
+
+<<package SORTPAK SortPackage>>
+@
+\eject
+\begin{thebibliography}{99}
+\bibitem{1} nothing
+\end{thebibliography}
+\end{document}