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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/c05.spad.pamphlet
downloadopen-axiom-ab8cc85adde879fb963c94d15675783f2cf4b183.tar.gz
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+\documentclass{article}
+\usepackage{axiom}
+\begin{document}
+\title{\$SPAD/src/algebra c05.spad}
+\author{Godfrey Nolan, Mike Dewar}
+\maketitle
+\begin{abstract}
+\end{abstract}
+\eject
+\tableofcontents
+\eject
+\section{package NAGC05 NagRootFindingPackage}
+<<package NAGC05 NagRootFindingPackage>>=
+)abbrev package NAGC05 NagRootFindingPackage
+++ Author: Godfrey Nolan and Mike Dewar
+++ Date Created: Jan 1994
+++ Date Last Updated: Thu May 12 17:44:28 1994
+++Description:
+++This package uses the NAG Library to calculate real zeros of
+++continuous real functions of one or more variables. (Complex
+++equations must be expressed in terms of the equivalent larger
+++system of real equations.)
+++See \downlink{Manual Page}{manpageXXc05}.
+
+NagRootFindingPackage(): Exports == Implementation where
+ S ==> Symbol
+ FOP ==> FortranOutputStackPackage
+
+ Exports ==> with
+ c05adf : (DoubleFloat,DoubleFloat,DoubleFloat,DoubleFloat,_
+ Integer,Union(fn:FileName,fp:Asp1(F))) -> Result
+ ++ c05adf(a,b,eps,eta,ifail,f)
+ ++ locates a zero of a continuous function in a given
+ ++ interval by a combination of the methods of linear interpolation,
+ ++ extrapolation and bisection.
+ ++ See \downlink{Manual Page}{manpageXXc05adf}.
+ c05nbf : (Integer,Integer,Matrix DoubleFloat,DoubleFloat,_
+ Integer,Union(fn:FileName,fp:Asp6(FCN))) -> Result
+ ++ c05nbf(n,lwa,x,xtol,ifail,fcn)
+ ++ is an easy-to-use routine to find a solution of a system
+ ++ of nonlinear equations by a modification of the Powell hybrid
+ ++ method.
+ ++ See \downlink{Manual Page}{manpageXXc05nbf}.
+ c05pbf : (Integer,Integer,Integer,Matrix DoubleFloat,_
+ DoubleFloat,Integer,Union(fn:FileName,fp:Asp35(FCN))) -> Result
+ ++ c05pbf(n,ldfjac,lwa,x,xtol,ifail,fcn)
+ ++ is an easy-to-use routine to find a solution of a system
+ ++ of nonlinear equations by a modification of the Powell hybrid
+ ++ method. The user must provide the Jacobian.
+ ++ See \downlink{Manual Page}{manpageXXc05pbf}.
+ Implementation ==> add
+
+ import Lisp
+ import DoubleFloat
+ import Any
+ import Record
+ import Integer
+ import Matrix DoubleFloat
+ import Boolean
+ import NAGLinkSupportPackage
+ import FortranPackage
+ import Union(fn:FileName,fp:Asp1(F))
+ import AnyFunctions1(DoubleFloat)
+ import AnyFunctions1(Matrix DoubleFloat)
+ import AnyFunctions1(Integer)
+
+
+ c05adf(aArg:DoubleFloat,bArg:DoubleFloat,epsArg:DoubleFloat,_
+ etaArg:DoubleFloat,ifailArg:Integer,fArg:Union(fn:FileName,fp:Asp1(F))): Result ==
+ pushFortranOutputStack(fFilename := aspFilename "f")$FOP
+ if fArg case fn
+ then outputAsFortran(fArg.fn)
+ else outputAsFortran(fArg.fp)
+ popFortranOutputStack()$FOP
+ [(invokeNagman([fFilename]$Lisp,_
+ "c05adf",_
+ ["a"::S,"b"::S,"eps"::S,"eta"::S,"x"::S_
+ ,"ifail"::S,"f"::S]$Lisp,_
+ ["x"::S,"f"::S]$Lisp,_
+ [["double"::S,"a"::S,"b"::S,"eps"::S,"eta"::S_
+ ,"x"::S,"f"::S]$Lisp_
+ ,["integer"::S,"ifail"::S]$Lisp_
+ ]$Lisp,_
+ ["x"::S,"ifail"::S]$Lisp,_
+ [([aArg::Any,bArg::Any,epsArg::Any,etaArg::Any,ifailArg::Any ])_
+ @List Any]$Lisp)$Lisp)_
+ pretend List (Record(key:Symbol,entry:Any))]$Result
+
+ c05nbf(nArg:Integer,lwaArg:Integer,xArg:Matrix DoubleFloat,_
+ xtolArg:DoubleFloat,ifailArg:Integer,fcnArg:Union(fn:FileName,fp:Asp6(FCN))): Result ==
+ pushFortranOutputStack(fcnFilename := aspFilename "fcn")$FOP
+ if fcnArg case fn
+ then outputAsFortran(fcnArg.fn)
+ else outputAsFortran(fcnArg.fp)
+ popFortranOutputStack()$FOP
+ [(invokeNagman([fcnFilename]$Lisp,_
+ "c05nbf",_
+ ["n"::S,"lwa"::S,"xtol"::S,"ifail"::S,"fcn"::S_
+ ,"fvec"::S,"x"::S,"wa"::S]$Lisp,_
+ ["fvec"::S,"wa"::S,"fcn"::S]$Lisp,_
+ [["double"::S,["fvec"::S,"n"::S]$Lisp,["x"::S,"n"::S]$Lisp_
+ ,"xtol"::S,["wa"::S,"lwa"::S]$Lisp,"fcn"::S]$Lisp_
+ ,["integer"::S,"n"::S,"lwa"::S,"ifail"::S]$Lisp_
+ ]$Lisp,_
+ ["fvec"::S,"x"::S,"xtol"::S,"ifail"::S]$Lisp,_
+ [([nArg::Any,lwaArg::Any,xtolArg::Any,ifailArg::Any,xArg::Any ])_
+ @List Any]$Lisp)$Lisp)_
+ pretend List (Record(key:Symbol,entry:Any))]$Result
+
+ c05pbf(nArg:Integer,ldfjacArg:Integer,lwaArg:Integer,_
+ xArg:Matrix DoubleFloat,xtolArg:DoubleFloat,ifailArg:Integer,_
+ fcnArg:Union(fn:FileName,fp:Asp35(FCN))): Result ==
+ pushFortranOutputStack(fcnFilename := aspFilename "fcn")$FOP
+ if fcnArg case fn
+ then outputAsFortran(fcnArg.fn)
+ else outputAsFortran(fcnArg.fp)
+ popFortranOutputStack()$FOP
+ [(invokeNagman([fcnFilename]$Lisp,_
+ "c05pbf",_
+ ["n"::S,"ldfjac"::S,"lwa"::S,"xtol"::S,"ifail"::S_
+ ,"fcn"::S,"fvec"::S,"fjac"::S,"x"::S,"wa"::S]$Lisp,_
+ ["fvec"::S,"fjac"::S,"wa"::S,"fcn"::S]$Lisp,_
+ [["double"::S,["fvec"::S,"n"::S]$Lisp,["fjac"::S,"ldfjac"::S,"n"::S]$Lisp_
+ ,["x"::S,"n"::S]$Lisp,"xtol"::S,["wa"::S,"lwa"::S]$Lisp,"fcn"::S]$Lisp_
+ ,["integer"::S,"n"::S,"ldfjac"::S,"lwa"::S_
+ ,"ifail"::S]$Lisp_
+ ]$Lisp,_
+ ["fvec"::S,"fjac"::S,"x"::S,"xtol"::S,"ifail"::S]$Lisp,_
+ [([nArg::Any,ldfjacArg::Any,lwaArg::Any,xtolArg::Any,ifailArg::Any,xArg::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 NAGC05 NagRootFindingPackage>>
+@
+\eject
+\begin{thebibliography}{99}
+\bibitem{1} nothing
+\end{thebibliography}
+\end{document}
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