From ab8cc85adde879fb963c94d15675783f2cf4b183 Mon Sep 17 00:00:00 2001
From: dos-reis <gdr@axiomatics.org>
Date: Tue, 14 Aug 2007 05:14:52 +0000
Subject: Initial population.

---
 src/algebra/c02.spad.pamphlet | 130 ++++++++++++++++++++++++++++++++++++++++++
 1 file changed, 130 insertions(+)
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(limited to 'src/algebra/c02.spad.pamphlet')

diff --git a/src/algebra/c02.spad.pamphlet b/src/algebra/c02.spad.pamphlet
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+++ b/src/algebra/c02.spad.pamphlet
@@ -0,0 +1,130 @@
+\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}
-- 
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