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)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.)

NagRootFindingPackage() : SIG == CODE where

  S ==> Symbol
  FOP ==> FortranOutputStackPackage

  SIG ==> 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}.

  CODE ==> 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