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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/c02.spad.pamphlet
downloadopen-axiom-ab8cc85adde879fb963c94d15675783f2cf4b183.tar.gz
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+\documentclass{article}
+\usepackage{axiom}
+\begin{document}
+\title{\$SPAD/src/algebra c02.spad}
+\author{Godfrey Nolan, Mike Dewar}
+\maketitle
+\begin{abstract}
+\end{abstract}
+\eject
+\tableofcontents
+\eject
+\section{package NAGC02 NagPolynomialRootsPackage}
+<<package NAGC02 NagPolynomialRootsPackage>>=
+)abbrev package NAGC02 NagPolynomialRootsPackage
+++ Author: Godfrey Nolan and Mike Dewar
+++ Date Created: Jan 1994
+++ Date Last Updated: Thu May 12 17:44:27 1994
+++Description:
+++This package uses the NAG Library to compute the zeros of a
+++polynomial with real or complex coefficients.
+++See \downlink{Manual Page}{manpageXXc02}.
+
+NagPolynomialRootsPackage(): Exports == Implementation where
+ S ==> Symbol
+ FOP ==> FortranOutputStackPackage
+
+ Exports ==> with
+ c02aff : (Matrix DoubleFloat,Integer,Boolean,Integer) -> Result
+ ++ c02aff(a,n,scale,ifail)
+ ++ finds all the roots of a complex polynomial equation,
+ ++ using a variant of Laguerre's Method.
+ ++ See \downlink{Manual Page}{manpageXXc02aff}.
+ c02agf : (Matrix DoubleFloat,Integer,Boolean,Integer) -> Result
+ ++ c02agf(a,n,scale,ifail)
+ ++ finds all the roots of a real polynomial equation, using a
+ ++ variant of Laguerre's Method.
+ ++ See \downlink{Manual Page}{manpageXXc02agf}.
+ Implementation ==> add
+
+ import Lisp
+ import DoubleFloat
+ import Matrix DoubleFloat
+ import Any
+ import Record
+ import Integer
+ import Boolean
+ import NAGLinkSupportPackage
+ import AnyFunctions1(Matrix DoubleFloat)
+ import AnyFunctions1(Integer)
+ import AnyFunctions1(Boolean)
+
+
+ c02aff(aArg:Matrix DoubleFloat,nArg:Integer,scaleArg:Boolean,_
+ ifailArg:Integer): Result ==
+ [(invokeNagman(NIL$Lisp,_
+ "c02aff",_
+ ["n"::S,"scale"::S,"ifail"::S,"a"::S,"z"::S,"w"::S]$Lisp,_
+ ["z"::S,"w"::S]$Lisp,_
+ [["double"::S,["a"::S,2$Lisp,["+"::S,"n"::S,1$Lisp]$Lisp]$Lisp_
+ ,["z"::S,2$Lisp,"n"::S]$Lisp,["w"::S,["*"::S,["+"::S,"n"::S,1$Lisp]$Lisp,4$Lisp]$Lisp]$Lisp]$Lisp_
+ ,["integer"::S,"n"::S,"ifail"::S]$Lisp_
+ ,["logical"::S,"scale"::S]$Lisp_
+ ]$Lisp,_
+ ["z"::S,"ifail"::S]$Lisp,_
+ [([nArg::Any,scaleArg::Any,ifailArg::Any,aArg::Any ])_
+ @List Any]$Lisp)$Lisp)_
+ pretend List (Record(key:Symbol,entry:Any))]$Result
+
+
+
+ c02agf(aArg:Matrix DoubleFloat,nArg:Integer,scaleArg:Boolean,_
+ ifailArg:Integer): Result ==
+ [(invokeNagman(NIL$Lisp,_
+ "c02agf",_
+ ["n"::S,"scale"::S,"ifail"::S,"a"::S,"z"::S,"w"::S]$Lisp,_
+ ["z"::S,"w"::S]$Lisp,_
+ [["double"::S,["a"::S,["+"::S,"n"::S,1$Lisp]$Lisp]$Lisp_
+ ,["z"::S,2$Lisp,"n"::S]$Lisp,["w"::S,["*"::S,["+"::S,"n"::S,1$Lisp]$Lisp,2$Lisp]$Lisp]$Lisp]$Lisp_
+ ,["integer"::S,"n"::S,"ifail"::S]$Lisp_
+ ,["logical"::S,"scale"::S]$Lisp_
+ ]$Lisp,_
+ ["z"::S,"ifail"::S]$Lisp,_
+ [([nArg::Any,scaleArg::Any,ifailArg::Any,aArg::Any ])_
+ @List Any]$Lisp)$Lisp)_
+ pretend List (Record(key:Symbol,entry:Any))]$Result
+
+@
+\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 NAGC02 NagPolynomialRootsPackage>>
+@
+\eject
+\begin{thebibliography}{99}
+\bibitem{1} nothing
+\end{thebibliography}
+\end{document}