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author | dos-reis <gdr@axiomatics.org> | 2007-08-14 05:14:52 +0000 |
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committer | dos-reis <gdr@axiomatics.org> | 2007-08-14 05:14:52 +0000 |
commit | ab8cc85adde879fb963c94d15675783f2cf4b183 (patch) | |
tree | c202482327f474583b750b2c45dedfc4e4312b1d /src/algebra/sortpak.spad.pamphlet | |
download | open-axiom-ab8cc85adde879fb963c94d15675783f2cf4b183.tar.gz |
Initial population.
Diffstat (limited to 'src/algebra/sortpak.spad.pamphlet')
-rw-r--r-- | src/algebra/sortpak.spad.pamphlet | 107 |
1 files changed, 107 insertions, 0 deletions
diff --git a/src/algebra/sortpak.spad.pamphlet b/src/algebra/sortpak.spad.pamphlet new file mode 100644 index 00000000..2d10ddf3 --- /dev/null +++ b/src/algebra/sortpak.spad.pamphlet @@ -0,0 +1,107 @@ +\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} |