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)abbrev package NAGD03 NagPartialDifferentialEquationsPackage
++ Author: Godfrey Nolan and Mike Dewar
++ Date Created: Jan 1994
++ Date Last Updated: Thu May 12 17:44:51 1994
++ Description:
++ This package uses the NAG Library to solve partial
++ differential equations.

NagPartialDifferentialEquationsPackage() : SIG == CODE where

  S ==> Symbol
  FOP ==> FortranOutputStackPackage

  SIG ==> with

    d03edf : (Integer,Integer,Integer,Integer,_
        DoubleFloat,Integer,Matrix DoubleFloat,Matrix DoubleFloat,_
        Matrix DoubleFloat,Integer) -> Result 
      ++ d03edf(ngx,ngy,lda,maxit,acc,iout,a,rhs,ub,ifail)
      ++ solves seven-diagonal systems of linear equations which 
      ++ arise from the discretization of an elliptic partial differential
      ++ equation on a rectangular region. This routine uses a multigrid 
      ++ technique.
      ++ See \downlink{Manual Page}{manpageXXd03edf}.

    d03eef : (DoubleFloat,DoubleFloat,DoubleFloat,DoubleFloat,_
        Integer,Integer,Integer,String,Integer,_
        Union(fn:FileName,fp:Asp73(PDEF)),_
        Union(fn:FileName,fp:Asp74(BNDY))) -> Result 
      ++ d03eef(xmin,xmax,ymin,ymax,ngx,ngy,lda,scheme,ifail,pdef,bndy)
      ++ discretizes a second order elliptic partial differential 
      ++ equation (PDE) on a rectangular region.
      ++ See \downlink{Manual Page}{manpageXXd03eef}.

    d03faf : (DoubleFloat,DoubleFloat,Integer,Integer,_
        Matrix DoubleFloat,Matrix DoubleFloat,DoubleFloat,DoubleFloat,_
        Integer,Integer,Matrix DoubleFloat,Matrix DoubleFloat,DoubleFloat,_
        DoubleFloat,Integer,Integer,Matrix DoubleFloat,Matrix DoubleFloat,_
        DoubleFloat,Integer,Integer,Integer,_
        ThreeDimensionalMatrix DoubleFloat,Integer) -> Result 
      ++ d03faf(xs,xf,l,lbdcnd,bdxs,bdxf,ys,yf,m,mbdcnd,bdys,bdyf,zs,
      ++        zf,n,nbdcnd,bdzs,bdzf,lambda,ldimf,mdimf,lwrk,f,ifail)
      ++ solves the Helmholtz equation in Cartesian co-ordinates in
      ++ three dimensions using the standard seven-point finite difference
      ++ approximation. This routine is designed to be particularly 
      ++ efficient on vector processors.
      ++ See \downlink{Manual Page}{manpageXXd03faf}.

  CODE ==> add

    import Lisp
    import DoubleFloat
    import Any
    import Record
    import Integer
    import Matrix DoubleFloat
    import Boolean
    import NAGLinkSupportPackage
    import AnyFunctions1(Integer)
    import AnyFunctions1(String)
    import AnyFunctions1(DoubleFloat)
    import AnyFunctions1(Matrix DoubleFloat)
    import AnyFunctions1(ThreeDimensionalMatrix DoubleFloat)
    import FortranPackage
    import Union(fn:FileName,fp:Asp73(PDEF))
    import Union(fn:FileName,fp:Asp74(BNDY))

    d03edf(ngxArg:Integer,ngyArg:Integer,ldaArg:Integer,_
        maxitArg:Integer,accArg:DoubleFloat,ioutArg:Integer,_
        aArg:Matrix DoubleFloat,rhsArg:Matrix DoubleFloat,_
        ubArg:Matrix DoubleFloat,_
        ifailArg:Integer): Result == 
        [(invokeNagman(NIL$Lisp,_
        "d03edf",_
        ["ngx"::S,"ngy"::S,"lda"::S,"maxit"::S,"acc"::S,"iout"::S,"numit"::S,_
        "ifail"::S,"us"::S,"u"::S,"a"::S,"rhs"::S,"ub"::S_
        ]$Lisp,_
        ["us"::S,"u"::S,"numit"::S]$Lisp,_
        [["double"::S,"acc"::S,["us"::S,"lda"::S]$Lisp_
        ,["u"::S,"lda"::S]$Lisp,["a"::S,"lda"::S,7$Lisp]$Lisp,_
        ["rhs"::S,"lda"::S]$Lisp,_
        ["ub"::S,["*"::S,"ngx"::S,"ngy"::S]$Lisp]$Lisp]$Lisp_
        ,["integer"::S,"ngx"::S,"ngy"::S,"lda"::S,"maxit"::S_
        ,"iout"::S,"numit"::S,"ifail"::S]$Lisp]$Lisp,_
        ["us"::S,"u"::S,"numit"::S,"a"::S,"rhs"::S,"ub"::S,"ifail"::S]$Lisp,_
        [([ngxArg::Any,ngyArg::Any,ldaArg::Any,maxitArg::Any,accArg::Any,_
        ioutArg::Any,ifailArg::Any,aArg::Any,rhsArg::Any,ubArg::Any ])_
        @List Any]$Lisp)$Lisp)_
        pretend List (Record(key:Symbol,entry:Any))]$Result

    d03eef(xminArg:DoubleFloat,xmaxArg:DoubleFloat,yminArg:DoubleFloat,_
        ymaxArg:DoubleFloat,ngxArg:Integer,ngyArg:Integer,_
        ldaArg:Integer,schemeArg:String,ifailArg:Integer,_
        pdefArg:Union(fn:FileName,fp:Asp73(PDEF)),bndyArg:Union(fn:FileName,_
        fp:Asp74(BNDY))): Result == 
        pushFortranOutputStack(pdefFilename := aspFilename "pdef")$FOP
        if pdefArg case fn
          then outputAsFortran(pdefArg.fn)
          else outputAsFortran(pdefArg.fp)
        popFortranOutputStack()$FOP
        pushFortranOutputStack(bndyFilename := aspFilename "bndy")$FOP
        if bndyArg case fn
          then outputAsFortran(bndyArg.fn)
          else outputAsFortran(bndyArg.fp)
        popFortranOutputStack()$FOP
        [(invokeNagman([pdefFilename,bndyFilename]$Lisp,_
        "d03eef",_
        ["xmin"::S,"xmax"::S,"ymin"::S,"ymax"::S,"ngx"::S_
        ,"ngy"::S,"lda"::S,"scheme"::S,"ifail"::S,"pdef"::S_
        ,"bndy"::S,"a"::S,"rhs"::S]$Lisp,_
        ["a"::S,"rhs"::S,"pdef"::S,"bndy"::S]$Lisp,_
        [["double"::S,"xmin"::S,"xmax"::S,"ymin"::S,"ymax"::S,_
        ["a"::S,"lda"::S,7$Lisp]$Lisp,_
        ["rhs"::S,"lda"::S]$Lisp,"pdef"::S,"bndy"::S]$Lisp_
        ,["integer"::S,"ngx"::S,"ngy"::S,"lda"::S,"ifail"::S]$Lisp_
        ,["character"::S,"scheme"::S]$Lisp]$Lisp,_
        ["a"::S,"rhs"::S,"ifail"::S]$Lisp,_
        [([xminArg::Any,xmaxArg::Any,yminArg::Any,ymaxArg::Any,ngxArg::Any,_
        ngyArg::Any,ldaArg::Any,schemeArg::Any,ifailArg::Any ])_
        @List Any]$Lisp)$Lisp)_
        pretend List (Record(key:Symbol,entry:Any))]$Result

    d03faf(xsArg:DoubleFloat,xfArg:DoubleFloat,lArg:Integer,_
        lbdcndArg:Integer,bdxsArg:Matrix DoubleFloat,_
        bdxfArg:Matrix DoubleFloat,_
        ysArg:DoubleFloat,yfArg:DoubleFloat,mArg:Integer,_
        mbdcndArg:Integer,bdysArg:Matrix DoubleFloat,_
        bdyfArg:Matrix DoubleFloat,_
        zsArg:DoubleFloat,zfArg:DoubleFloat,nArg:Integer,_
        nbdcndArg:Integer,bdzsArg:Matrix DoubleFloat,_
        bdzfArg:Matrix DoubleFloat,_
        lambdaArg:DoubleFloat,ldimfArg:Integer,mdimfArg:Integer,_
        lwrkArg:Integer,fArg:ThreeDimensionalMatrix DoubleFloat,_
        ifailArg:Integer): Result == 
        [(invokeNagman(NIL$Lisp,_
        "d03faf",_
        ["xs"::S,"xf"::S,"l"::S,"lbdcnd"::S,"ys"::S_
        ,"yf"::S,"m"::S,"mbdcnd"::S,"zs"::S,"zf"::S_
        ,"n"::S,"nbdcnd"::S,"lambda"::S,"ldimf"::S,"mdimf"::S_
        ,"lwrk"::S,"pertrb"::S,"ifail"::S,"bdxs"::S,"bdxf"::S,"bdys"::S,_
        "bdyf"::S,"bdzs"::S_
        ,"bdzf"::S,"f"::S,"w"::S]$Lisp,_
        ["pertrb"::S,"w"::S]$Lisp,_
        [["double"::S,"xs"::S,"xf"::S,["bdxs"::S,"mdimf"::S,_
        ["+"::S,"n"::S,1$Lisp]$Lisp]$Lisp_
        ,["bdxf"::S,"mdimf"::S,["+"::S,"n"::S,1$Lisp]$Lisp]$Lisp,"ys"::S,_
        "yf"::S,["bdys"::S,"ldimf"::S,["+"::S,"n"::S,1$Lisp]$Lisp]$Lisp_
        ,["bdyf"::S,"ldimf"::S,["+"::S,"n"::S,1$Lisp]$Lisp]$Lisp,"zs"::S_
        ,"zf"::S,["bdzs"::S,"ldimf"::S,["+"::S,"m"::S,1$Lisp]$Lisp]$Lisp,_
        ["bdzf"::S,"ldimf"::S,["+"::S,"m"::S,1$Lisp]$Lisp]$Lisp_
        ,"lambda"::S,"pertrb"::S,["f"::S,"ldimf"::S,"mdimf"::S,_
        ["+"::S,"n"::S,1$Lisp]$Lisp]$Lisp,["w"::S,"lwrk"::S]$Lisp]$Lisp_
        ,["integer"::S,"l"::S,"lbdcnd"::S,"m"::S,"mbdcnd"::S_
        ,"n"::S,"nbdcnd"::S,"ldimf"::S,"mdimf"::S,"lwrk"::S,"ifail"::S]$Lisp_
        ]$Lisp,_
        ["pertrb"::S,"f"::S,"ifail"::S]$Lisp,_
        [([xsArg::Any,xfArg::Any,lArg::Any,lbdcndArg::Any,ysArg::Any,_
        yfArg::Any,mArg::Any,mbdcndArg::Any,zsArg::Any,zfArg::Any,_
        nArg::Any,nbdcndArg::Any,lambdaArg::Any,ldimfArg::Any,mdimfArg::Any,_
        lwrkArg::Any,ifailArg::Any,bdxsArg::Any,bdxfArg::Any,bdysArg::Any,_
        bdyfArg::Any,bdzsArg::Any,bdzfArg::Any,fArg::Any ])_
        @List Any]$Lisp)$Lisp)_
        pretend List (Record(key:Symbol,entry:Any))]$Result