' VB.NET declare statements for NAG Fortran Library DLL Mark 22
' Copyright 2009, Numerical Algorithms Group Ltd, Oxford, UK.

Imports System.Runtime.InteropServices

Module nag_declarations

Const NAGTRUE As Integer = -1
Const NAGFALSE As Integer = 0

<StructLayout(LayoutKind.Sequential)> Structure Complex
  Dim Real_Part As Double
  Dim Imag_Part As Double
End Structure

<StructLayout(LayoutKind.Sequential)> Structure ComplexSingle
  Dim Real_Part As Single
  Dim Imag_Part As Single
End Structure


   Declare Sub A00AAF Lib "FLDLL224M_nag.dll" ( _
   )


   Declare Function A00ACF Lib "FLDLL224M_nag.dll" ( _
   ) as Integer


   Declare Sub A00ADF Lib "FLDLL224M_nag.dll" ( _
    ByVal IMPL As string, ByVal IMPLLength As Integer, _
    ByVal PREC As string, ByVal PRECLength As Integer, _
    ByVal PCODE As string, ByVal PCODELength As Integer, _
    ByRef MKMAJ As Integer, _
    ByRef MKMIN As Integer, _
    ByVal HDWARE As string, ByVal HDWARELength As Integer, _
    ByVal OPSYS As string, ByVal OPSYSLength As Integer, _
    ByVal FCOMP As string, ByVal FCOMPLength As Integer, _
    ByVal VEND As string, ByVal VENDLength As Integer, _
    ByRef LICVAL As Integer _
   )


   Declare Sub A02AAF Lib "FLDLL224M_nag.dll" ( _
    ByRef XR As Double, _
    ByRef XI As Double, _
    ByRef YR As Double, _
    ByRef YI As Double _
   )


   Declare Function A02ABF Lib "FLDLL224M_nag.dll" ( _
    ByRef XR As Double, _
    ByRef XI As Double _
   ) as Double


   Declare Sub A02ACF Lib "FLDLL224M_nag.dll" ( _
    ByRef XR As Double, _
    ByRef XI As Double, _
    ByRef YR As Double, _
    ByRef YI As Double, _
    ByRef ZR As Double, _
    ByRef ZI As Double _
   )


   Declare Sub C02AFF Lib "FLDLL224M_nag.dll" ( _
    ByRef A As Double, _
    ByRef N As Integer, _
    ByRef SCAL As Integer, _
    ByRef Z As Double, _
    ByRef W As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub C02AGF Lib "FLDLL224M_nag.dll" ( _
    ByRef A As Double, _
    ByRef N As Integer, _
    ByRef SCAL As Integer, _
    ByRef Z As Double, _
    ByRef W As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub C02AHF Lib "FLDLL224M_nag.dll" ( _
    ByRef AR As Double, _
    ByRef AI As Double, _
    ByRef BR As Double, _
    ByRef BI As Double, _
    ByRef CR As Double, _
    ByRef CI As Double, _
    ByRef ZSM As Double, _
    ByRef ZLG As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub C02AJF Lib "FLDLL224M_nag.dll" ( _
    ByRef A As Double, _
    ByRef B As Double, _
    ByRef C As Double, _
    ByRef ZSM As Double, _
    ByRef ZLG As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub C02AKF Lib "FLDLL224M_nag.dll" ( _
    ByRef U As Double, _
    ByRef R As Double, _
    ByRef S As Double, _
    ByRef T As Double, _
    ByRef ZEROR As Double, _
    ByRef ZEROI As Double, _
    ByRef ERREST As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub C02ALF Lib "FLDLL224M_nag.dll" ( _
    ByRef E As Double, _
    ByRef A As Double, _
    ByRef B As Double, _
    ByRef C As Double, _
    ByRef D As Double, _
    ByRef ZEROR As Double, _
    ByRef ZEROI As Double, _
    ByRef ERREST As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub C02AMF Lib "FLDLL224M_nag.dll" ( _
    ByRef U As Complex, _
    ByRef R As Complex, _
    ByRef S As Complex, _
    ByRef T As Complex, _
    ByRef ZEROR As Double, _
    ByRef ZEROI As Double, _
    ByRef ERREST As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub C02ANF Lib "FLDLL224M_nag.dll" ( _
    ByRef E As Complex, _
    ByRef A As Complex, _
    ByRef B As Complex, _
    ByRef C As Complex, _
    ByRef D As Complex, _
    ByRef ZEROR As Double, _
    ByRef ZEROI As Double, _
    ByRef ERREST As Double, _
    ByRef IFAIL As Integer _
   )


  Delegate Function C05ADF_F_DELEGATE( _
    ByRef XX As Double _
  ) as Double

   Declare Sub C05ADF Lib "FLDLL224M_nag.dll" ( _
    ByRef A As Double, _
    ByRef B As Double, _
    ByRef EPS As Double, _
    ByRef ETA As Double, _
    ByVal F As C05ADF_F_DELEGATE, _
    ByRef X As Double, _
    ByRef IFAIL As Integer _
   )


  Delegate Function C05AGF_F_DELEGATE( _
    ByRef XX As Double _
  ) as Double

   Declare Sub C05AGF Lib "FLDLL224M_nag.dll" ( _
    ByRef X As Double, _
    ByRef H As Double, _
    ByRef EPS As Double, _
    ByRef ETA As Double, _
    ByVal F As C05AGF_F_DELEGATE, _
    ByRef A As Double, _
    ByRef B As Double, _
    ByRef IFAIL As Integer _
   )


  Delegate Function C05AJF_F_DELEGATE( _
    ByRef XX As Double _
  ) as Double

   Declare Sub C05AJF Lib "FLDLL224M_nag.dll" ( _
    ByRef X As Double, _
    ByRef EPS As Double, _
    ByRef ETA As Double, _
    ByVal F As C05AJF_F_DELEGATE, _
    ByRef NFMAX As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub C05AVF Lib "FLDLL224M_nag.dll" ( _
    ByRef X As Double, _
    ByRef FX As Double, _
    ByRef H As Double, _
    ByRef BOUNDL As Double, _
    ByRef BOUNDU As Double, _
    ByRef Y As Double, _
    ByRef C As Double, _
    ByRef IND As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub C05AXF Lib "FLDLL224M_nag.dll" ( _
    ByRef X As Double, _
    ByRef FX As Double, _
    ByRef TOL As Double, _
    ByRef IR As Integer, _
    ByRef SCAL As Double, _
    ByRef C As Double, _
    ByRef IND As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub C05AZF Lib "FLDLL224M_nag.dll" ( _
    ByRef X As Double, _
    ByRef Y As Double, _
    ByRef FX As Double, _
    ByRef TOLX As Double, _
    ByRef IR As Integer, _
    ByRef C As Double, _
    ByRef IND As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Function C05BAF Lib "FLDLL224M_nag.dll" ( _
    ByRef X As Double, _
    ByRef BRANCH As Integer, _
    ByRef OFFSET As Integer, _
    ByRef IFAIL As Integer _
   ) as Double


  Delegate Sub C05NBF_FCN_DELEGATE( _
    ByRef N As Integer, _
    ByVal X_rptr As IntPtr, _
    ByVal FVEC_rptr As IntPtr, _
    ByRef IFLAG As Integer _
  )

   Declare Sub C05NBF Lib "FLDLL224M_nag.dll" ( _
    ByVal FCN As C05NBF_FCN_DELEGATE, _
    ByRef N As Integer, _
    ByRef X As Double, _
    ByRef FVEC As Double, _
    ByRef XTOL As Double, _
    ByRef WA As Double, _
    ByRef LWA As Integer, _
    ByRef IFAIL As Integer _
   )


  Delegate Sub C05NCF_FCN_DELEGATE( _
    ByRef N As Integer, _
    ByVal X_rptr As IntPtr, _
    ByVal FVEC_rptr As IntPtr, _
    ByRef IFLAG As Integer _
  )

   Declare Sub C05NCF Lib "FLDLL224M_nag.dll" ( _
    ByVal FCN As C05NCF_FCN_DELEGATE, ByRef N As Integer, ByRef X As Double, _
    ByRef FVEC As Double, ByRef XTOL As Double, ByRef MAXFEV As Integer, _
    ByRef ML As Integer, ByRef MU As Integer, ByRef EPSFCN As Double, _
    ByRef DIAG As Double, ByRef MODE As Integer, ByRef FACTOR As Double, _
    ByRef NPRINT As Integer, ByRef NFEV As Integer, ByRef FJAC As Double, _
    ByRef LDFJAC As Integer, ByRef R As Double, ByRef LR As Integer, _
    ByRef QTF As Double, ByRef W As Double, ByRef IFAIL As Integer _
   )


   Declare Sub C05NDF Lib "FLDLL224M_nag.dll" ( _
    ByRef IREVCM As Integer, _
    ByRef N As Integer, _
    ByRef X As Double, _
    ByRef FVEC As Double, _
    ByRef XTOL As Double, _
    ByRef ML As Integer, _
    ByRef MU As Integer, _
    ByRef EPSFCN As Double, _
    ByRef DIAG As Double, _
    ByRef MODE As Integer, _
    ByRef FACTOR As Double, _
    ByRef FJAC As Double, _
    ByRef LDFJAC As Integer, _
    ByRef R As Double, _
    ByRef LR As Integer, _
    ByRef QTF As Double, _
    ByRef W As Double, _
    ByRef IFAIL As Integer _
   )


  Delegate Sub C05PBA_FCN_DELEGATE( _
    ByRef N As Integer, _
    ByVal X_rptr As IntPtr, _
    ByVal FVEC_rptr As IntPtr, _
    ByVal FJAC_rptr As IntPtr, _
    ByRef LDFJAC As Integer, _
    ByRef IFLAG As Integer, _
    ByVal IUSER_iptr As IntPtr, _
    ByVal RUSER_rptr As IntPtr _
  )

   Declare Sub C05PBA Lib "FLDLL224M_nag.dll" ( _
    ByVal FCN As C05PBF_FCN_DELEGATE, _
    ByRef N As Integer, _
    ByRef X As Double, _
    ByRef FVEC As Double, _
    ByRef FJAC As Double, _
    ByRef LDFJAC As Integer, _
    ByRef XTOL As Double, _
    ByRef WA As Double, _
    ByRef LWA As Integer, _
    ByRef IUSER As Integer, _
    ByRef RUSER As Double, _
    ByRef IFAIL As Integer _
   )

  Delegate Sub C05PBF_FCN_DELEGATE( _
    ByRef N As Integer, _
    ByVal X_rptr As IntPtr, _
    ByVal FVEC_rptr As IntPtr, _
    ByVal FJAC_rptr As IntPtr, _
    ByRef LDFJAC As Integer, _
    ByRef IFLAG As Integer _
  )

   Declare Sub C05PBF Lib "FLDLL224M_nag.dll" ( _
    ByVal FCN As C05PBF_FCN_DELEGATE, _
    ByRef N As Integer, _
    ByRef X As Double, _
    ByRef FVEC As Double, _
    ByRef FJAC As Double, _
    ByRef LDFJAC As Integer, _
    ByRef XTOL As Double, _
    ByRef WA As Double, _
    ByRef LWA As Integer, _
    ByRef IFAIL As Integer _
   )


  Delegate Sub C05PCA_FCN_DELEGATE( _
    ByRef N As Integer, _
    ByVal X_rptr As IntPtr, _
    ByVal FVEC_rptr As IntPtr, _
    ByVal FJAC_rptr As IntPtr, _
    ByRef LDFJAC As Integer, _
    ByRef IFLAG As Integer, _
    ByVal IUSER_iptr As IntPtr, _
    ByVal RUSER_rptr As IntPtr _
  )

   Declare Sub C05PCA Lib "FLDLL224M_nag.dll" ( _
    ByVal FCN As C05PCF_FCN_DELEGATE, ByRef N As Integer, ByRef X As Double, _
    ByRef FVEC As Double, ByRef FJAC As Double, ByRef LDFJAC As Integer, _
    ByRef XTOL As Double, ByRef MAXFEV As Integer, ByRef DIAG As Double, _
    ByRef MODE As Integer, ByRef FACTOR As Double, ByRef NPRINT As Integer, _
    ByRef NFEV As Integer, ByRef NJEV As Integer, ByRef R As Double, _
    ByRef LR As Integer, ByRef QTF As Double, ByRef W As Double, _
    ByRef IUSER As Integer, ByRef RUSER As Double, ByRef IFAIL As Integer _
   )

  Delegate Sub C05PCF_FCN_DELEGATE( _
    ByRef N As Integer, _
    ByVal X_rptr As IntPtr, _
    ByVal FVEC_rptr As IntPtr, _
    ByVal FJAC_rptr As IntPtr, _
    ByRef LDFJAC As Integer, _
    ByRef IFLAG As Integer _
  )

   Declare Sub C05PCF Lib "FLDLL224M_nag.dll" ( _
    ByVal FCN As C05PCF_FCN_DELEGATE, _
    ByRef N As Integer, _
    ByRef X As Double, _
    ByRef FVEC As Double, _
    ByRef FJAC As Double, _
    ByRef LDFJAC As Integer, _
    ByRef XTOL As Double, _
    ByRef MAXFEV As Integer, _
    ByRef DIAG As Double, _
    ByRef MODE As Integer, _
    ByRef FACTOR As Double, _
    ByRef NPRINT As Integer, _
    ByRef NFEV As Integer, _
    ByRef NJEV As Integer, _
    ByRef R As Double, _
    ByRef LR As Integer, _
    ByRef QTF As Double, _
    ByRef W As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub C05PDA Lib "FLDLL224M_nag.dll" ( _
    ByRef IREVCM As Integer, _
    ByRef N As Integer, _
    ByRef X As Double, _
    ByRef FVEC As Double, _
    ByRef FJAC As Double, _
    ByRef LDFJAC As Integer, _
    ByRef XTOL As Double, _
    ByRef DIAG As Double, _
    ByRef MODE As Integer, _
    ByRef FACTOR As Double, _
    ByRef R As Double, _
    ByRef LR As Integer, _
    ByRef QTF As Double, _
    ByRef W As Double, _
    ByRef LWSAV As Integer, _
    ByRef IWSAV As Integer, _
    ByRef RWSAV As Double, _
    ByRef IFAIL As Integer _
   )

   Declare Sub C05PDF Lib "FLDLL224M_nag.dll" ( _
    ByRef IREVCM As Integer, _
    ByRef N As Integer, _
    ByRef X As Double, _
    ByRef FVEC As Double, _
    ByRef FJAC As Double, _
    ByRef LDFJAC As Integer, _
    ByRef XTOL As Double, _
    ByRef DIAG As Double, _
    ByRef MODE As Integer, _
    ByRef FACTOR As Double, _
    ByRef R As Double, _
    ByRef LR As Integer, _
    ByRef QTF As Double, _
    ByRef W As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub C05ZAF Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef X As Double, _
    ByRef FVEC As Double, _
    ByRef FJAC As Double, _
    ByRef LDFJAC As Integer, _
    ByRef XP As Double, _
    ByRef FVECP As Double, _
    ByRef MODE As Integer, _
    ByRef ERR As Double _
   )


   Declare Sub C06BAF Lib "FLDLL224M_nag.dll" ( _
    ByRef SEQN As Double, _
    ByRef NCALL As Integer, _
    ByRef RESULT As Double, _
    ByRef ABSERR As Double, _
    ByRef WORK As Double, _
    ByRef LWORK As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Function C06DBF Lib "FLDLL224M_nag.dll" ( _
    ByRef X As Double, _
    ByRef C As Double, _
    ByRef N As Integer, _
    ByRef S As Integer _
   ) as Double


   Declare Sub C06EAF Lib "FLDLL224M_nag.dll" ( _
    ByRef X As Double, _
    ByRef N As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub C06EBF Lib "FLDLL224M_nag.dll" ( _
    ByRef X As Double, _
    ByRef N As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub C06ECF Lib "FLDLL224M_nag.dll" ( _
    ByRef X As Double, _
    ByRef Y As Double, _
    ByRef N As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub C06EKF Lib "FLDLL224M_nag.dll" ( _
    ByRef JOB As Integer, _
    ByRef X As Double, _
    ByRef Y As Double, _
    ByRef N As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub C06FAF Lib "FLDLL224M_nag.dll" ( _
    ByRef X As Double, _
    ByRef N As Integer, _
    ByRef WORK As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub C06FBF Lib "FLDLL224M_nag.dll" ( _
    ByRef X As Double, _
    ByRef N As Integer, _
    ByRef WORK As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub C06FCF Lib "FLDLL224M_nag.dll" ( _
    ByRef X As Double, _
    ByRef Y As Double, _
    ByRef N As Integer, _
    ByRef WORK As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub C06FFF Lib "FLDLL224M_nag.dll" ( _
    ByRef NDIM As Integer, _
    ByRef L As Integer, _
    ByRef ND As Integer, _
    ByRef N As Integer, _
    ByRef X As Double, _
    ByRef Y As Double, _
    ByRef WORK As Double, _
    ByRef LWORK As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub C06FJF Lib "FLDLL224M_nag.dll" ( _
    ByRef NDIM As Integer, _
    ByRef ND As Integer, _
    ByRef N As Integer, _
    ByRef X As Double, _
    ByRef Y As Double, _
    ByRef WORK As Double, _
    ByRef LWORK As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub C06FKF Lib "FLDLL224M_nag.dll" ( _
    ByRef JOB As Integer, _
    ByRef X As Double, _
    ByRef Y As Double, _
    ByRef N As Integer, _
    ByRef WORK As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub C06FPF Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef X As Double, _
    ByVal INIT As string, ByVal INITLength As Integer, _
    ByRef TRIG As Double, _
    ByRef WORK As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub C06FQF Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef X As Double, _
    ByVal INIT As string, ByVal INITLength As Integer, _
    ByRef TRIG As Double, _
    ByRef WORK As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub C06FRF Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef X As Double, _
    ByRef Y As Double, _
    ByVal INIT As string, ByVal INITLength As Integer, _
    ByRef TRIG As Double, _
    ByRef WORK As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub C06FUF Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef X As Double, _
    ByRef Y As Double, _
    ByVal INIT As string, ByVal INITLength As Integer, _
    ByRef TRIGM As Double, _
    ByRef TRIGN As Double, _
    ByRef WORK As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub C06FXF Lib "FLDLL224M_nag.dll" ( _
    ByRef N1 As Integer, _
    ByRef N2 As Integer, _
    ByRef N3 As Integer, _
    ByRef X As Double, _
    ByRef Y As Double, _
    ByVal INIT As string, ByVal INITLength As Integer, _
    ByRef TRIGN1 As Double, _
    ByRef TRIGN2 As Double, _
    ByRef TRIGN3 As Double, _
    ByRef WORK As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub C06GBF Lib "FLDLL224M_nag.dll" ( _
    ByRef X As Double, _
    ByRef N As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub C06GCF Lib "FLDLL224M_nag.dll" ( _
    ByRef Y As Double, _
    ByRef N As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub C06GQF Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef X As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub C06GSF Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef X As Double, _
    ByRef U As Double, _
    ByRef V As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub C06HAF Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef X As Double, _
    ByVal INIT As string, ByVal INITLength As Integer, _
    ByRef TRIG As Double, _
    ByRef WORK As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub C06HBF Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef X As Double, _
    ByVal INIT As string, ByVal INITLength As Integer, _
    ByRef TRIG As Double, _
    ByRef WORK As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub C06HCF Lib "FLDLL224M_nag.dll" ( _
    ByVal DIRECT As string, ByVal DIRECTLength As Integer, _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef X As Double, _
    ByVal INIT As string, ByVal INITLength As Integer, _
    ByRef TRIG As Double, _
    ByRef WORK As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub C06HDF Lib "FLDLL224M_nag.dll" ( _
    ByVal DIRECT As string, ByVal DIRECTLength As Integer, _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef X As Double, _
    ByVal INIT As string, ByVal INITLength As Integer, _
    ByRef TRIG As Double, _
    ByRef WORK As Double, _
    ByRef IFAIL As Integer _
   )


  Delegate Sub C06LAF_FUN_DELEGATE( _
    ByRef PR As Double, _
    ByRef PI As Double, _
    ByRef FR As Double, _
    ByRef FI As Double _
  )

   Declare Sub C06LAF Lib "FLDLL224M_nag.dll" ( _
    ByVal FUN As C06LAF_FUN_DELEGATE, _
    ByRef N As Integer, _
    ByRef T As Double, _
    ByRef VALINV As Double, _
    ByRef ERREST As Double, _
    ByRef RELERR As Double, _
    ByRef ALPHAB As Double, _
    ByRef TFAC As Double, _
    ByRef MXTERM As Integer, _
    ByRef NTERMS As Integer, _
    ByRef NA As Integer, _
    ByRef ALOW As Double, _
    ByRef AHIGH As Double, _
    ByRef NFEVAL As Integer, _
    ByRef WORK As Double, _
    ByRef IFAIL As Integer _
   )


  Delegate Function C06LBF_F_DELEGATE( _
    ByRef S As Complex _
  ) as Complex

   Declare Sub C06LBF Lib "FLDLL224M_nag.dll" ( _
    ByVal F As C06LBF_F_DELEGATE, _
    ByRef SIGMA0 As Double, _
    ByRef SIGMA As Double, _
    ByRef B As Double, _
    ByRef EPSTOL As Double, _
    ByRef MMAX As Integer, _
    ByRef M As Integer, _
    ByRef ACOEF As Double, _
    ByRef ERRVEC As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub C06LCF Lib "FLDLL224M_nag.dll" ( _
    ByRef T As Double, _
    ByRef SIGMA As Double, _
    ByRef B As Double, _
    ByRef M As Integer, _
    ByRef ACOEF As Double, _
    ByRef ERRVEC As Double, _
    ByRef FINV As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub C06PAF Lib "FLDLL224M_nag.dll" ( _
    ByVal DIRECT As string, ByVal DIRECTLength As Integer, _
    ByRef X As Double, _
    ByRef N As Integer, _
    ByRef WORK As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub C06PCF Lib "FLDLL224M_nag.dll" ( _
    ByVal DIRECT As string, ByVal DIRECTLength As Integer, _
    ByRef X As Complex, _
    ByRef N As Integer, _
    ByRef WORK As Complex, _
    ByRef IFAIL As Integer _
   )


   Declare Sub C06PFF Lib "FLDLL224M_nag.dll" ( _
    ByVal DIRECT As string, ByVal DIRECTLength As Integer, _
    ByRef NDIM As Integer, _
    ByRef L As Integer, _
    ByRef ND As Integer, _
    ByRef N As Integer, _
    ByRef X As Complex, _
    ByRef WORK As Complex, _
    ByRef LWORK As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub C06PJF Lib "FLDLL224M_nag.dll" ( _
    ByVal DIRECT As string, ByVal DIRECTLength As Integer, _
    ByRef NDIM As Integer, _
    ByRef ND As Integer, _
    ByRef N As Integer, _
    ByRef X As Complex, _
    ByRef WORK As Complex, _
    ByRef LWORK As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub C06PKF Lib "FLDLL224M_nag.dll" ( _
    ByRef JOB As Integer, _
    ByRef X As Complex, _
    ByRef Y As Complex, _
    ByRef N As Integer, _
    ByRef WORK As Complex, _
    ByRef IFAIL As Integer _
   )


   Declare Sub C06PPF Lib "FLDLL224M_nag.dll" ( _
    ByVal DIRECT As string, ByVal DIRECTLength As Integer, _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef X As Double, _
    ByRef WORK As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub C06PQF Lib "FLDLL224M_nag.dll" ( _
    ByVal DIRECT As string, ByVal DIRECTLength As Integer, _
    ByRef N As Integer, _
    ByRef M As Integer, _
    ByRef X As Double, _
    ByRef WORK As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub C06PRF Lib "FLDLL224M_nag.dll" ( _
    ByVal DIRECT As string, ByVal DIRECTLength As Integer, _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef X As Complex, _
    ByRef WORK As Complex, _
    ByRef IFAIL As Integer _
   )


   Declare Sub C06PSF Lib "FLDLL224M_nag.dll" ( _
    ByVal DIRECT As string, ByVal DIRECTLength As Integer, _
    ByRef N As Integer, _
    ByRef M As Integer, _
    ByRef X As Complex, _
    ByRef WORK As Complex, _
    ByRef IFAIL As Integer _
   )


   Declare Sub C06PUF Lib "FLDLL224M_nag.dll" ( _
    ByVal DIRECT As string, ByVal DIRECTLength As Integer, _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef X As Complex, _
    ByRef WORK As Complex, _
    ByRef IFAIL As Integer _
   )


   Declare Sub C06PXF Lib "FLDLL224M_nag.dll" ( _
    ByVal DIRECT As string, ByVal DIRECTLength As Integer, _
    ByRef N1 As Integer, _
    ByRef N2 As Integer, _
    ByRef N3 As Integer, _
    ByRef X As Complex, _
    ByRef WORK As Complex, _
    ByRef IFAIL As Integer _
   )


   Declare Sub C06RAF Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef X As Double, _
    ByRef WORK As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub C06RBF Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef X As Double, _
    ByRef WORK As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub C06RCF Lib "FLDLL224M_nag.dll" ( _
    ByVal DIRECT As string, ByVal DIRECTLength As Integer, _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef X As Double, _
    ByRef WORK As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub C06RDF Lib "FLDLL224M_nag.dll" ( _
    ByVal DIRECT As string, ByVal DIRECTLength As Integer, _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef X As Double, _
    ByRef WORK As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub C09AAF Lib "FLDLL224M_nag.dll" ( _
    ByVal WAVNAM As string, ByVal WAVNAMLength As Integer, _
    ByVal WTRANS As string, ByVal WTRANSLength As Integer, _
    ByVal MODE As string, ByVal MODELength As Integer, _
    ByRef N As Integer, _
    ByRef NWL As Integer, _
    ByRef NF As Integer, _
    ByRef NWC As Integer, _
    ByRef ICOMM As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub C09CAF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef X As Double, _
    ByRef LENC As Integer, _
    ByRef CA As Double, _
    ByRef CD As Double, _
    ByRef ICOMM As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub C09CBF Lib "FLDLL224M_nag.dll" ( _
    ByRef LENC As Integer, _
    ByRef CA As Double, _
    ByRef CD As Double, _
    ByRef N As Integer, _
    ByRef Y As Double, _
    ByRef ICOMM As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub C09CCF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef X As Double, _
    ByRef LENC As Integer, _
    ByRef C As Double, _
    ByRef NWL As Integer, _
    ByRef DWTLEV As Integer, _
    ByRef ICOMM As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub C09CDF Lib "FLDLL224M_nag.dll" ( _
    ByRef NWL As Integer, _
    ByRef LENC As Integer, _
    ByRef C As Double, _
    ByRef N As Integer, _
    ByRef Y As Double, _
    ByRef ICOMM As Integer, _
    ByRef IFAIL As Integer _
   )


  Delegate Function D01AHF_F_DELEGATE( _
    ByRef X As Double _
  ) as Double

   Declare Function D01AHF Lib "FLDLL224M_nag.dll" ( _
    ByRef A As Double, _
    ByRef B As Double, _
    ByRef EPSR As Double, _
    ByRef NPTS As Integer, _
    ByRef RELERR As Double, _
    ByVal F As D01AHF_F_DELEGATE, _
    ByRef NLIMIT As Integer, _
    ByRef IFAIL As Integer _
   ) as Double


  Delegate Function D01AJF_F_DELEGATE( _
    ByRef X As Double _
  ) as Double

   Declare Sub D01AJF Lib "FLDLL224M_nag.dll" ( _
    ByVal F As D01AJF_F_DELEGATE, _
    ByRef A As Double, _
    ByRef B As Double, _
    ByRef EPSABS As Double, _
    ByRef EPSREL As Double, _
    ByRef RESULT As Double, _
    ByRef ABSERR As Double, _
    ByRef W As Double, _
    ByRef LW As Integer, _
    ByRef IW As Integer, _
    ByRef LIW As Integer, _
    ByRef IFAIL As Integer _
   )


  Delegate Function D01AKF_F_DELEGATE( _
    ByRef X As Double _
  ) as Double

   Declare Sub D01AKF Lib "FLDLL224M_nag.dll" ( _
    ByVal F As D01AKF_F_DELEGATE, _
    ByRef A As Double, _
    ByRef B As Double, _
    ByRef EPSABS As Double, _
    ByRef EPSREL As Double, _
    ByRef RESULT As Double, _
    ByRef ABSERR As Double, _
    ByRef W As Double, _
    ByRef LW As Integer, _
    ByRef IW As Integer, _
    ByRef LIW As Integer, _
    ByRef IFAIL As Integer _
   )


  Delegate Function D01ALF_F_DELEGATE( _
    ByRef X As Double _
  ) as Double

   Declare Sub D01ALF Lib "FLDLL224M_nag.dll" ( _
    ByVal F As D01ALF_F_DELEGATE, _
    ByRef A As Double, _
    ByRef B As Double, _
    ByRef NPTS As Integer, _
    ByRef POINTS As Double, _
    ByRef EPSABS As Double, _
    ByRef EPSREL As Double, _
    ByRef RESULT As Double, _
    ByRef ABSERR As Double, _
    ByRef W As Double, _
    ByRef LW As Integer, _
    ByRef IW As Integer, _
    ByRef LIW As Integer, _
    ByRef IFAIL As Integer _
   )


  Delegate Function D01AMF_F_DELEGATE( _
    ByRef X As Double _
  ) as Double

   Declare Sub D01AMF Lib "FLDLL224M_nag.dll" ( _
    ByVal F As D01AMF_F_DELEGATE, _
    ByRef BOUND As Double, _
    ByRef INF As Integer, _
    ByRef EPSABS As Double, _
    ByRef EPSREL As Double, _
    ByRef RESULT As Double, _
    ByRef ABSERR As Double, _
    ByRef W As Double, _
    ByRef LW As Integer, _
    ByRef IW As Integer, _
    ByRef LIW As Integer, _
    ByRef IFAIL As Integer _
   )


  Delegate Function D01ANF_G_DELEGATE( _
    ByRef X As Double _
  ) as Double

   Declare Sub D01ANF Lib "FLDLL224M_nag.dll" ( _
    ByVal G As D01ANF_G_DELEGATE, _
    ByRef A As Double, _
    ByRef B As Double, _
    ByRef OMEGA As Double, _
    ByRef KEY As Integer, _
    ByRef EPSABS As Double, _
    ByRef EPSREL As Double, _
    ByRef RESULT As Double, _
    ByRef ABSERR As Double, _
    ByRef W As Double, _
    ByRef LW As Integer, _
    ByRef IW As Integer, _
    ByRef LIW As Integer, _
    ByRef IFAIL As Integer _
   )


  Delegate Function D01APF_G_DELEGATE( _
    ByRef X As Double _
  ) as Double

   Declare Sub D01APF Lib "FLDLL224M_nag.dll" ( _
    ByVal G As D01APF_G_DELEGATE, _
    ByRef A As Double, _
    ByRef B As Double, _
    ByRef ALFA As Double, _
    ByRef BETA As Double, _
    ByRef KEY As Integer, _
    ByRef EPSABS As Double, _
    ByRef EPSREL As Double, _
    ByRef RESULT As Double, _
    ByRef ABSERR As Double, _
    ByRef W As Double, _
    ByRef LW As Integer, _
    ByRef IW As Integer, _
    ByRef LIW As Integer, _
    ByRef IFAIL As Integer _
   )


  Delegate Function D01AQF_G_DELEGATE( _
    ByRef X As Double _
  ) as Double

   Declare Sub D01AQF Lib "FLDLL224M_nag.dll" ( _
    ByVal G As D01AQF_G_DELEGATE, _
    ByRef A As Double, _
    ByRef B As Double, _
    ByRef C As Double, _
    ByRef EPSABS As Double, _
    ByRef EPSREL As Double, _
    ByRef RESULT As Double, _
    ByRef ABSERR As Double, _
    ByRef W As Double, _
    ByRef LW As Integer, _
    ByRef IW As Integer, _
    ByRef LIW As Integer, _
    ByRef IFAIL As Integer _
   )


  Delegate Function D01ARF_FUN_DELEGATE( _
    ByRef X As Double _
  ) as Double

   Declare Sub D01ARF Lib "FLDLL224M_nag.dll" ( _
    ByRef A As Double, _
    ByRef B As Double, _
    ByVal FUN As D01ARF_FUN_DELEGATE, _
    ByRef RELACC As Double, _
    ByRef ABSACC As Double, _
    ByRef MAXRUL As Integer, _
    ByRef IPARM As Integer, _
    ByRef ACC As Double, _
    ByRef ANS As Double, _
    ByRef N As Integer, _
    ByRef ALPHA As Double, _
    ByRef IFAIL As Integer _
   )


  Delegate Function D01ASF_G_DELEGATE( _
    ByRef X As Double _
  ) as Double

   Declare Sub D01ASF Lib "FLDLL224M_nag.dll" ( _
    ByVal G As D01ASF_G_DELEGATE, _
    ByRef A As Double, _
    ByRef OMEGA As Double, _
    ByRef KEY As Integer, _
    ByRef EPSABS As Double, _
    ByRef RESULT As Double, _
    ByRef ABSERR As Double, _
    ByRef LIMLST As Integer, _
    ByRef LST As Integer, _
    ByRef ERLST As Double, _
    ByRef RSLST As Double, _
    ByRef IERLST As Integer, _
    ByRef W As Double, _
    ByRef LW As Integer, _
    ByRef IW As Integer, _
    ByRef LIW As Integer, _
    ByRef IFAIL As Integer _
   )


  Delegate Sub D01ATF_F_DELEGATE( _
    ByVal X_rptr As IntPtr, _
    ByVal FV_rptr As IntPtr, _
    ByRef N As Integer _
  )

   Declare Sub D01ATF Lib "FLDLL224M_nag.dll" ( _
    ByVal F As D01ATF_F_DELEGATE, _
    ByRef A As Double, _
    ByRef B As Double, _
    ByRef EPSABS As Double, _
    ByRef EPSREL As Double, _
    ByRef RESULT As Double, _
    ByRef ABSERR As Double, _
    ByRef W As Double, _
    ByRef LW As Integer, _
    ByRef IW As Integer, _
    ByRef LIW As Integer, _
    ByRef IFAIL As Integer _
   )


  Delegate Sub D01AUF_F_DELEGATE( _
    ByVal X_rptr As IntPtr, _
    ByVal FV_rptr As IntPtr, _
    ByRef N As Integer _
  )

   Declare Sub D01AUF Lib "FLDLL224M_nag.dll" ( _
    ByVal F As D01AUF_F_DELEGATE, _
    ByRef A As Double, _
    ByRef B As Double, _
    ByRef KEY As Integer, _
    ByRef EPSABS As Double, _
    ByRef EPSREL As Double, _
    ByRef RESULT As Double, _
    ByRef ABSERR As Double, _
    ByRef W As Double, _
    ByRef LW As Integer, _
    ByRef IW As Integer, _
    ByRef LIW As Integer, _
    ByRef IFAIL As Integer _
   )


  Delegate Sub D01BAF_D01XXX_DELEGATE( _
    ByRef IFLAG As Integer _
  )

   Declare Sub D01BAW Lib "FLDLL224M_nag.dll" ( _
    ByRef IFLAG As Integer _
  )

   Declare Sub D01BAX Lib "FLDLL224M_nag.dll" ( _
    ByRef IFLAG As Integer _
  )

   Declare Sub D01BAY Lib "FLDLL224M_nag.dll" ( _
    ByRef IFLAG As Integer _
  )

   Declare Sub D01BAZ Lib "FLDLL224M_nag.dll" ( _
    ByRef IFLAG As Integer _
  )

  Delegate Function D01BAF_FUN_DELEGATE( _
    ByRef X As Double _
  ) as Double

   Declare Function D01BAF Lib "FLDLL224M_nag.dll" ( _
    ByVal D01XXX As D01BAF_D01XXX_DELEGATE, _
    ByRef A As Double, _
    ByRef B As Double, _
    ByRef N As Integer, _
    ByVal FUN As D01BAF_FUN_DELEGATE, _
    ByRef IFAIL As Integer _
   ) as Double


  Delegate Sub D01BBF_D01XXX_DELEGATE( _
    ByRef IFLAG As Integer _
  )





   Declare Sub D01BBF Lib "FLDLL224M_nag.dll" ( _
    ByVal D01XXX As D01BBF_D01XXX_DELEGATE, _
    ByRef A As Double, _
    ByRef B As Double, _
    ByRef ITYPE As Integer, _
    ByRef N As Integer, _
    ByRef WEIGHT As Double, _
    ByRef ABSCIS As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub D01BCF Lib "FLDLL224M_nag.dll" ( _
    ByRef ITYPE As Integer, _
    ByRef A As Double, _
    ByRef B As Double, _
    ByRef C As Double, _
    ByRef D As Double, _
    ByRef N As Integer, _
    ByRef WEIGHT As Double, _
    ByRef ABSCIS As Double, _
    ByRef IFAIL As Integer _
   )


  Delegate Function D01BDF_F_DELEGATE( _
    ByRef X As Double _
  ) as Double

   Declare Sub D01BDF Lib "FLDLL224M_nag.dll" ( _
    ByVal F As D01BDF_F_DELEGATE, _
    ByRef A As Double, _
    ByRef B As Double, _
    ByRef EPSABS As Double, _
    ByRef EPSREL As Double, _
    ByRef RESULT As Double, _
    ByRef ABSERR As Double _
   )


  Delegate Function D01DAF_PHI1_DELEGATE( _
    ByRef Y As Double _
  ) as Double

  Delegate Function D01DAF_PHI2_DELEGATE( _
    ByRef Y As Double _
  ) as Double

  Delegate Function D01DAF_F_DELEGATE( _
    ByRef X As Double, _
    ByRef Y As Double _
  ) as Double

   Declare Sub D01DAF Lib "FLDLL224M_nag.dll" ( _
    ByRef YA As Double, _
    ByRef YB As Double, _
    ByVal PHI1 As D01DAF_PHI1_DELEGATE, _
    ByVal PHI2 As D01DAF_PHI2_DELEGATE, _
    ByVal F As D01DAF_F_DELEGATE, _
    ByRef ABSACC As Double, _
    ByRef ANS As Double, _
    ByRef NPTS As Integer, _
    ByRef IFAIL As Integer _
   )


  Delegate Sub D01EAF_FUNSUB_DELEGATE( _
    ByRef NDIM As Integer, _
    ByVal Z_rptr As IntPtr, _
    ByRef NFUN As Integer, _
    ByVal F_rptr As IntPtr _
  )

   Declare Sub D01EAF Lib "FLDLL224M_nag.dll" ( _
    ByRef NDIM As Integer, _
    ByRef A As Double, _
    ByRef B As Double, _
    ByRef MINCLS As Integer, _
    ByRef MAXCLS As Integer, _
    ByRef NFUN As Integer, _
    ByVal FUNSUB As D01EAF_FUNSUB_DELEGATE, _
    ByRef ABSREQ As Double, _
    ByRef RELREQ As Double, _
    ByRef LENWRK As Integer, _
    ByRef WRKSTR As Double, _
    ByRef FINEST As Double, _
    ByRef ABSEST As Double, _
    ByRef IFAIL As Integer _
   )


  Delegate Function D01FBF_FUN_DELEGATE( _
    ByRef NDIM As Integer, _
    ByVal X_rptr As IntPtr _
  ) as Double

   Declare Function D01FBF Lib "FLDLL224M_nag.dll" ( _
    ByRef NDIM As Integer, _
    ByRef NPTVEC As Integer, _
    ByRef LWA As Integer, _
    ByRef WEIGHT As Double, _
    ByRef ABSCIS As Double, _
    ByVal FUN As D01FBF_FUN_DELEGATE, _
    ByRef IFAIL As Integer _
   ) as Double


  Delegate Function D01FCF_FUNCTN_DELEGATE( _
    ByRef NDIM As Integer, _
    ByVal Z_rptr As IntPtr _
  ) as Double

   Declare Sub D01FCF Lib "FLDLL224M_nag.dll" ( _
    ByRef NDIM As Integer, _
    ByRef A As Double, _
    ByRef B As Double, _
    ByRef MINPTS As Integer, _
    ByRef MAXPTS As Integer, _
    ByVal FUNCTN As D01FCF_FUNCTN_DELEGATE, _
    ByRef EPS As Double, _
    ByRef ACC As Double, _
    ByRef LENWRK As Integer, _
    ByRef WRKSTR As Double, _
    ByRef FINVAL As Double, _
    ByRef IFAIL As Integer _
   )


  Delegate Function D01FDF_F_DELEGATE( _
    ByRef NDIM As Integer, _
    ByVal X_rptr As IntPtr _
  ) as Double

  Delegate Sub D01FDF_REGION_DELEGATE( _
    ByRef NDIM As Integer, _
    ByVal X_rptr As IntPtr, _
    ByRef J As Integer, _
    ByRef C As Double, _
    ByRef D As Double _
  )

   Declare Sub D01FDV Lib "FLDLL224M_nag.dll" ( _
    ByRef NDIM As Integer, _
    ByVal X_rptr As IntPtr, _
    ByRef J As Integer, _
    ByRef C As Double, _
    ByRef D As Double _
  )

   Declare Sub D01FDF Lib "FLDLL224M_nag.dll" ( _
    ByRef NDIM As Integer, _
    ByVal F As D01FDF_F_DELEGATE, _
    ByRef SIGMA As Double, _
    ByVal REGION As D01FDF_REGION_DELEGATE, _
    ByRef LIMIT As Integer, _
    ByRef R0 As Double, _
    ByRef U As Double, _
    ByRef RESULT As Double, _
    ByRef NCALLS As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub D01GAF Lib "FLDLL224M_nag.dll" ( _
    ByRef X As Double, _
    ByRef Y As Double, _
    ByRef N As Integer, _
    ByRef ANS As Double, _
    ByRef ER As Double, _
    ByRef IFAIL As Integer _
   )


  Delegate Function D01GBF_FUNCTN_DELEGATE( _
    ByRef NDIM As Integer, _
    ByVal X_rptr As IntPtr _
  ) as Double

   Declare Sub D01GBF Lib "FLDLL224M_nag.dll" ( _
    ByRef NDIM As Integer, _
    ByRef A As Double, _
    ByRef B As Double, _
    ByRef MINCLS As Integer, _
    ByRef MAXCLS As Integer, _
    ByVal FUNCTN As D01GBF_FUNCTN_DELEGATE, _
    ByRef EPS As Double, _
    ByRef ACC As Double, _
    ByRef LENWRK As Integer, _
    ByRef WRKSTR As Double, _
    ByRef FINEST As Double, _
    ByRef IFAIL As Integer _
   )


  Delegate Function D01GCF_F_DELEGATE( _
    ByRef NDIM As Integer, _
    ByVal X_rptr As IntPtr _
  ) as Double

  Delegate Sub D01GCF_REGION_DELEGATE( _
    ByRef NDIM As Integer, _
    ByVal X_rptr As IntPtr, _
    ByRef J As Integer, _
    ByRef C As Double, _
    ByRef D As Double _
  )

   Declare Sub D01GCF Lib "FLDLL224M_nag.dll" ( _
    ByRef NDIM As Integer, _
    ByVal F As D01GCF_F_DELEGATE, _
    ByVal REGION As D01GCF_REGION_DELEGATE, _
    ByRef NPTS As Integer, _
    ByRef VK As Double, _
    ByRef NRAND As Integer, _
    ByRef ITRANS As Integer, _
    ByRef RES As Double, _
    ByRef ERR As Double, _
    ByRef IFAIL As Integer _
   )


  Delegate Sub D01GDF_VECFUN_DELEGATE( _
    ByRef NDIM As Integer, _
    ByVal X_rptr As IntPtr, _
    ByVal FV_rptr As IntPtr, _
    ByRef M As Integer _
  )

  Delegate Sub D01GDF_VECREG_DELEGATE( _
    ByRef NDIM As Integer, _
    ByVal X_rptr As IntPtr, _
    ByRef J As Integer, _
    ByVal C_rptr As IntPtr, _
    ByVal D_rptr As IntPtr, _
    ByRef M As Integer _
  )

   Declare Sub D01GDF Lib "FLDLL224M_nag.dll" ( _
    ByRef NDIM As Integer, _
    ByVal VECFUN As D01GDF_VECFUN_DELEGATE, _
    ByVal VECREG As D01GDF_VECREG_DELEGATE, _
    ByRef NPTS As Integer, _
    ByRef VK As Double, _
    ByRef NRAND As Integer, _
    ByRef ITRANS As Integer, _
    ByRef RES As Double, _
    ByRef ERR As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub D01GYF Lib "FLDLL224M_nag.dll" ( _
    ByRef NDIM As Integer, _
    ByRef NPTS As Integer, _
    ByRef VK As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub D01GZF Lib "FLDLL224M_nag.dll" ( _
    ByRef NDIM As Integer, _
    ByRef NP1 As Integer, _
    ByRef NP2 As Integer, _
    ByRef VK As Double, _
    ByRef IFAIL As Integer _
   )


  Delegate Function D01JAF_F_DELEGATE( _
    ByRef NDIM As Integer, _
    ByVal X_rptr As IntPtr _
  ) as Double

   Declare Sub D01JAF Lib "FLDLL224M_nag.dll" ( _
    ByVal F As D01JAF_F_DELEGATE, _
    ByRef NDIM As Integer, _
    ByRef RADIUS As Double, _
    ByRef EPSA As Double, _
    ByRef EPSR As Double, _
    ByRef METHOD As Integer, _
    ByRef ICOORD As Integer, _
    ByRef RESULT As Double, _
    ByRef ESTERR As Double, _
    ByRef NEVALS As Integer, _
    ByRef IFAIL As Integer _
   )


  Delegate Function D01PAF_FUNCTN_DELEGATE( _
    ByRef NDIM As Integer, _
    ByVal X_rptr As IntPtr _
  ) as Double

   Declare Sub D01PAF Lib "FLDLL224M_nag.dll" ( _
    ByRef NDIM As Integer, _
    ByRef VERT As Double, _
    ByRef LDVERT As Integer, _
    ByRef SDVERT As Integer, _
    ByVal FUNCTN As D01PAF_FUNCTN_DELEGATE, _
    ByRef MINORD As Integer, _
    ByRef MAXORD As Integer, _
    ByRef FINVLS As Double, _
    ByRef ESTERR As Double, _
    ByRef IFAIL As Integer _
   )


  Delegate Sub D02AGF_AUX_DELEGATE( _
    ByVal F_rptr As IntPtr, _
    ByVal Y_rptr As IntPtr, _
    ByRef X As Double, _
    ByVal PARAM_rptr As IntPtr _
  )

  Delegate Sub D02AGF_BCAUX_DELEGATE( _
    ByVal G0_rptr As IntPtr, _
    ByVal G1_rptr As IntPtr, _
    ByVal PARAM_rptr As IntPtr _
  )

  Delegate Sub D02AGF_RAAUX_DELEGATE( _
    ByRef X0 As Double, _
    ByRef X1 As Double, _
    ByRef R As Double, _
    ByVal PARAM_rptr As IntPtr _
  )

  Delegate Sub D02AGF_PRSOL_DELEGATE( _
    ByVal PARAM_rptr As IntPtr, _
    ByRef RES As Double, _
    ByRef N1 As Integer, _
    ByVal ERR_rptr As IntPtr _
  )

   Declare Sub D02AGF Lib "FLDLL224M_nag.dll" ( _
    ByRef H As Double, _
    ByRef E As Double, _
    ByRef PARERR As Double, _
    ByRef PARAM As Double, _
    ByRef C As Double, _
    ByRef N As Integer, _
    ByRef N1 As Integer, _
    ByRef M1 As Integer, _
    ByVal AUX As D02AGF_AUX_DELEGATE, _
    ByVal BCAUX As D02AGF_BCAUX_DELEGATE, _
    ByVal RAAUX As D02AGF_RAAUX_DELEGATE, _
    ByVal PRSOL As D02AGF_PRSOL_DELEGATE, _
    ByRef MAT As Double, _
    ByRef COPY As Double, _
    ByRef WSPACE As Double, _
    ByRef WSPAC1 As Double, _
    ByRef WSPAC2 As Double, _
    ByRef IFAIL As Integer _
   )


  Delegate Sub D02BGF_FCN_DELEGATE( _
    ByRef X As Double, _
    ByVal Y_rptr As IntPtr, _
    ByVal F_rptr As IntPtr _
  )

   Declare Sub D02BGF Lib "FLDLL224M_nag.dll" ( _
    ByRef X As Double, _
    ByRef XEND As Double, _
    ByRef N As Integer, _
    ByRef Y As Double, _
    ByRef TOL As Double, _
    ByRef HMAX As Double, _
    ByRef M As Integer, _
    ByRef VAL As Double, _
    ByVal FCN As D02BGF_FCN_DELEGATE, _
    ByRef W As Double, _
    ByRef IFAIL As Integer _
   )


  Delegate Sub D02BHF_FCN_DELEGATE( _
    ByRef X As Double, _
    ByVal Y_rptr As IntPtr, _
    ByVal F_rptr As IntPtr _
  )

  Delegate Function D02BHF_G_DELEGATE( _
    ByRef X As Double, _
    ByVal Y_rptr As IntPtr _
  ) as Double

   Declare Sub D02BHF Lib "FLDLL224M_nag.dll" ( _
    ByRef X As Double, _
    ByRef XEND As Double, _
    ByRef N As Integer, _
    ByRef Y As Double, _
    ByRef TOL As Double, _
    ByRef IRELAB As Integer, _
    ByRef HMAX As Double, _
    ByVal FCN As D02BHF_FCN_DELEGATE, _
    ByVal G As D02BHF_G_DELEGATE, _
    ByRef W As Double, _
    ByRef IFAIL As Integer _
   )


  Delegate Sub D02BJF_FCN_DELEGATE( _
    ByRef X As Double, _
    ByVal Y_rptr As IntPtr, _
    ByVal F_rptr As IntPtr _
  )

  Delegate Sub D02BJF_OUTPUT_DELEGATE( _
    ByRef XSOL As Double, _
    ByVal Y_rptr As IntPtr _
  )

   Declare Sub D02BJX Lib "FLDLL224M_nag.dll" ( _
    ByRef XSOL As Double, _
    ByVal Y_rptr As IntPtr _
  )

  Delegate Function D02BJF_G_DELEGATE( _
    ByRef X As Double, _
    ByVal Y_rptr As IntPtr _
  ) as Double

   Declare Function D02BJW Lib "FLDLL224M_nag.dll" ( _
    ByRef X As Double, _
    ByVal Y_rptr As IntPtr _
  ) as Double

   Declare Sub D02BJF Lib "FLDLL224M_nag.dll" ( _
    ByRef X As Double, _
    ByRef XEND As Double, _
    ByRef N As Integer, _
    ByRef Y As Double, _
    ByVal FCN As D02BJF_FCN_DELEGATE, _
    ByRef TOL As Double, _
    ByVal RELABS As string, ByVal RELABSLength As Integer, _
    ByVal OUTPUT As D02BJF_OUTPUT_DELEGATE, _
    ByVal G As D02BJF_G_DELEGATE, _
    ByRef W As Double, _
    ByRef IFAIL As Integer _
   )


  Delegate Sub D02CJF_FCN_DELEGATE( _
    ByRef X As Double, _
    ByVal Y_rptr As IntPtr, _
    ByVal F_rptr As IntPtr _
  )

  Delegate Sub D02CJF_OUTPUT_DELEGATE( _
    ByRef XSOL As Double, _
    ByVal Y_rptr As IntPtr _
  )

   Declare Sub D02CJX Lib "FLDLL224M_nag.dll" ( _
    ByRef XSOL As Double, _
    ByVal Y_rptr As IntPtr _
  )

  Delegate Function D02CJF_G_DELEGATE( _
    ByRef X As Double, _
    ByVal Y_rptr As IntPtr _
  ) as Double

   Declare Function D02CJW Lib "FLDLL224M_nag.dll" ( _
    ByRef X As Double, _
    ByVal Y_rptr As IntPtr _
  ) as Double

   Declare Sub D02CJF Lib "FLDLL224M_nag.dll" ( _
    ByRef X As Double, _
    ByRef XEND As Double, _
    ByRef N As Integer, _
    ByRef Y As Double, _
    ByVal FCN As D02CJF_FCN_DELEGATE, _
    ByRef TOL As Double, _
    ByVal RELABS As string, ByVal RELABSLength As Integer, _
    ByVal OUTPUT As D02CJF_OUTPUT_DELEGATE, _
    ByVal G As D02CJF_G_DELEGATE, _
    ByRef W As Double, _
    ByRef IFAIL As Integer _
   )


  Delegate Sub D02EJF_FCN_DELEGATE( _
    ByRef X As Double, _
    ByVal Y_rptr As IntPtr, _
    ByVal F_rptr As IntPtr _
  )

  Delegate Sub D02EJF_PEDERV_DELEGATE( _
    ByRef X As Double, _
    ByVal Y_rptr As IntPtr, _
    ByVal PW_rptr As IntPtr _
  )

   Declare Sub D02EJY Lib "FLDLL224M_nag.dll" ( _
    ByRef X As Double, _
    ByVal Y_rptr As IntPtr, _
    ByVal PW_rptr As IntPtr _
  )

  Delegate Sub D02EJF_OUTPUT_DELEGATE( _
    ByRef XSOL As Double, _
    ByVal Y_rptr As IntPtr _
  )

   Declare Sub D02EJX Lib "FLDLL224M_nag.dll" ( _
    ByRef XSOL As Double, _
    ByVal Y_rptr As IntPtr _
  )

  Delegate Function D02EJF_G_DELEGATE( _
    ByRef X As Double, _
    ByVal Y_rptr As IntPtr _
  ) as Double

   Declare Function D02EJW Lib "FLDLL224M_nag.dll" ( _
    ByRef X As Double, _
    ByVal Y_rptr As IntPtr _
  ) as Double

   Declare Sub D02EJF Lib "FLDLL224M_nag.dll" ( _
    ByRef X As Double, _
    ByRef XEND As Double, _
    ByRef N As Integer, _
    ByRef Y As Double, _
    ByVal FCN As D02EJF_FCN_DELEGATE, _
    ByVal PEDERV As D02EJF_PEDERV_DELEGATE, _
    ByRef TOL As Double, _
    ByVal RELABS As string, ByVal RELABSLength As Integer, _
    ByVal OUTPUT As D02EJF_OUTPUT_DELEGATE, _
    ByVal G As D02EJF_G_DELEGATE, _
    ByRef W As Double, _
    ByRef IW As Integer, _
    ByRef IFAIL As Integer _
   )


  Delegate Sub D02GAF_FCN_DELEGATE( _
    ByRef X As Double, _
    ByVal Y_rptr As IntPtr, _
    ByVal F_rptr As IntPtr _
  )

   Declare Sub D02GAF Lib "FLDLL224M_nag.dll" ( _
    ByRef U As Double, _
    ByRef V As Double, _
    ByRef N As Integer, _
    ByRef A As Double, _
    ByRef B As Double, _
    ByRef TOL As Double, _
    ByVal FCN As D02GAF_FCN_DELEGATE, _
    ByRef MNP As Integer, _
    ByRef X As Double, _
    ByRef Y As Double, _
    ByRef NP As Integer, _
    ByRef W As Double, _
    ByRef LW As Integer, _
    ByRef IW As Integer, _
    ByRef LIW As Integer, _
    ByRef IFAIL As Integer _
   )


  Delegate Sub D02GBF_FCNF_DELEGATE( _
    ByRef X As Double, _
    ByVal F_rptr As IntPtr _
  )

  Delegate Sub D02GBF_FCNG_DELEGATE( _
    ByRef X As Double, _
    ByVal G_rptr As IntPtr _
  )

   Declare Sub D02GBF Lib "FLDLL224M_nag.dll" ( _
    ByRef A As Double, _
    ByRef B As Double, _
    ByRef N As Integer, _
    ByRef TOL As Double, _
    ByVal FCNF As D02GBF_FCNF_DELEGATE, _
    ByVal FCNG As D02GBF_FCNG_DELEGATE, _
    ByRef C As Double, _
    ByRef D As Double, _
    ByRef GAM As Double, _
    ByRef MNP As Integer, _
    ByRef X As Double, _
    ByRef Y As Double, _
    ByRef NP As Integer, _
    ByRef W As Double, _
    ByRef LW As Integer, _
    ByRef IW As Integer, _
    ByRef LIW As Integer, _
    ByRef IFAIL As Integer _
   )


  Delegate Sub D02HAF_FCN_DELEGATE( _
    ByRef X As Double, _
    ByVal Y_rptr As IntPtr, _
    ByVal F_rptr As IntPtr _
  )

   Declare Sub D02HAF Lib "FLDLL224M_nag.dll" ( _
    ByRef U As Double, _
    ByRef V As Double, _
    ByRef N As Integer, _
    ByRef A As Double, _
    ByRef B As Double, _
    ByRef TOL As Double, _
    ByVal FCN As D02HAF_FCN_DELEGATE, _
    ByRef SOLN As Double, _
    ByRef M1 As Integer, _
    ByRef W As Double, _
    ByRef SDW As Integer, _
    ByRef IFAIL As Integer _
   )


  Delegate Sub D02HBF_FCN_DELEGATE( _
    ByRef X As Double, _
    ByVal Y_rptr As IntPtr, _
    ByVal F_rptr As IntPtr, _
    ByVal P_rptr As IntPtr _
  )

  Delegate Sub D02HBF_BC_DELEGATE( _
    ByVal G1_rptr As IntPtr, _
    ByVal G2_rptr As IntPtr, _
    ByVal P_rptr As IntPtr _
  )

  Delegate Sub D02HBF_RANGE_DELEGATE( _
    ByRef A As Double, _
    ByRef B As Double, _
    ByVal P_rptr As IntPtr _
  )

   Declare Sub D02HBF Lib "FLDLL224M_nag.dll" ( _
    ByRef P As Double, _
    ByRef N1 As Integer, _
    ByRef PE As Double, _
    ByRef E As Double, _
    ByRef N As Integer, _
    ByRef SOLN As Double, _
    ByRef M1 As Integer, _
    ByVal FCN As D02HBF_FCN_DELEGATE, _
    ByVal BC As D02HBF_BC_DELEGATE, _
    ByVal RANGE As D02HBF_RANGE_DELEGATE, _
    ByRef W As Double, _
    ByRef SDW As Integer, _
    ByRef IFAIL As Integer _
   )


  Delegate Function D02JAF_CF_DELEGATE( _
    ByRef J As Integer, _
    ByRef X As Double _
  ) as Double

  Delegate Sub D02JAF_BC_DELEGATE( _
    ByRef I As Integer, _
    ByRef J As Integer, _
    ByRef RHS As Double _
  )

   Declare Sub D02JAF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByVal CF As D02JAF_CF_DELEGATE, _
    ByVal BC As D02JAF_BC_DELEGATE, _
    ByRef X0 As Double, _
    ByRef X1 As Double, _
    ByRef K1 As Integer, _
    ByRef KP As Integer, _
    ByRef C As Double, _
    ByRef W As Double, _
    ByRef LW As Integer, _
    ByRef IW As Integer, _
    ByRef IFAIL As Integer _
   )


  Delegate Function D02JBF_CF_DELEGATE( _
    ByRef I As Integer, _
    ByRef J As Integer, _
    ByRef X As Double _
  ) as Double

  Delegate Sub D02JBF_BC_DELEGATE( _
    ByRef I As Integer, _
    ByRef J As Integer, _
    ByRef RHS As Double _
  )

   Declare Sub D02JBF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByVal CF As D02JBF_CF_DELEGATE, _
    ByVal BC As D02JBF_BC_DELEGATE, _
    ByRef X0 As Double, _
    ByRef X1 As Double, _
    ByRef K1 As Integer, _
    ByRef KP As Integer, _
    ByRef C As Double, _
    ByRef LDC As Integer, _
    ByRef W As Double, _
    ByRef LW As Integer, _
    ByRef IW As Integer, _
    ByRef LIW As Integer, _
    ByRef IFAIL As Integer _
   )


  Delegate Sub D02KAF_COEFFN_DELEGATE( _
    ByRef P As Double, _
    ByRef Q As Double, _
    ByRef DQDL As Double, _
    ByRef X As Double, _
    ByRef ELAM As Double, _
    ByRef JINT As Integer _
  )

  Delegate Sub D02KAF_MONIT_DELEGATE( _
    ByRef NIT As Integer, _
    ByRef IFLAG As Integer, _
    ByRef ELAM As Double, _
    ByVal FINFO_rptr As IntPtr _
  )

   Declare Sub D02KAY Lib "FLDLL224M_nag.dll" ( _
    ByRef NIT As Integer, _
    ByRef IFLAG As Integer, _
    ByRef ELAM As Double, _
    ByVal FINFO_rptr As IntPtr _
  )

   Declare Sub D02KAF Lib "FLDLL224M_nag.dll" ( _
    ByRef XL As Double, _
    ByRef XR As Double, _
    ByVal COEFFN As D02KAF_COEFFN_DELEGATE, _
    ByRef BCOND As Double, _
    ByRef K As Integer, _
    ByRef TOL As Double, _
    ByRef ELAM As Double, _
    ByRef DELAM As Double, _
    ByVal MONIT As D02KAF_MONIT_DELEGATE, _
    ByRef IFAIL As Integer _
   )


  Delegate Sub D02KDF_COEFFN_DELEGATE( _
    ByRef P As Double, _
    ByRef Q As Double, _
    ByRef DQDL As Double, _
    ByRef X As Double, _
    ByRef ELAM As Double, _
    ByRef JINT As Integer _
  )

  Delegate Sub D02KDF_BDYVAL_DELEGATE( _
    ByRef XL As Double, _
    ByRef XR As Double, _
    ByRef ELAM As Double, _
    ByVal YL_rptr As IntPtr, _
    ByVal YR_rptr As IntPtr _
  )

  Delegate Sub D02KDF_MONIT_DELEGATE( _
    ByRef MAXIT As Integer, _
    ByRef IFLAG As Integer, _
    ByRef ELAM As Double, _
    ByVal FINFO_rptr As IntPtr _
  )


   Declare Sub D02KDF Lib "FLDLL224M_nag.dll" ( _
    ByRef XPOINT As Double, _
    ByRef M As Integer, _
    ByVal COEFFN As D02KDF_COEFFN_DELEGATE, _
    ByVal BDYVAL As D02KDF_BDYVAL_DELEGATE, _
    ByRef K As Integer, _
    ByRef TOL As Double, _
    ByRef ELAM As Double, _
    ByRef DELAM As Double, _
    ByRef HMAX As Double, _
    ByRef MAXIT As Integer, _
    ByRef MAXFUN As Integer, _
    ByVal MONIT As D02KDF_MONIT_DELEGATE, _
    ByRef IFAIL As Integer _
   )


  Delegate Sub D02KEF_COEFFN_DELEGATE( _
    ByRef P As Double, _
    ByRef Q As Double, _
    ByRef DQDL As Double, _
    ByRef X As Double, _
    ByRef ELAM As Double, _
    ByRef JINT As Integer _
  )

  Delegate Sub D02KEF_BDYVAL_DELEGATE( _
    ByRef XL As Double, _
    ByRef XR As Double, _
    ByRef ELAM As Double, _
    ByVal YL_rptr As IntPtr, _
    ByVal YR_rptr As IntPtr _
  )

  Delegate Sub D02KEF_MONIT_DELEGATE( _
    ByRef MAXIT As Integer, _
    ByRef IFLAG As Integer, _
    ByRef ELAM As Double, _
    ByVal FINFO_rptr As IntPtr _
  )


  Delegate Sub D02KEF_REPORT_DELEGATE( _
    ByRef X As Double, _
    ByVal V_rptr As IntPtr, _
    ByRef JINT As Integer _
  )

   Declare Sub D02KEF Lib "FLDLL224M_nag.dll" ( _
    ByRef XPOINT As Double, _
    ByRef M As Integer, _
    ByRef MATCH As Integer, _
    ByVal COEFFN As D02KEF_COEFFN_DELEGATE, _
    ByVal BDYVAL As D02KEF_BDYVAL_DELEGATE, _
    ByRef K As Integer, _
    ByRef TOL As Double, _
    ByRef ELAM As Double, _
    ByRef DELAM As Double, _
    ByRef HMAX As Double, _
    ByRef MAXIT As Integer, _
    ByRef MAXFUN As Integer, _
    ByVal MONIT As D02KEF_MONIT_DELEGATE, _
    ByVal REPORT As D02KEF_REPORT_DELEGATE, _
    ByRef IFAIL As Integer _
   )


  Delegate Sub D02LAF_FCN_DELEGATE( _
    ByRef NEQ As Integer, _
    ByRef T As Double, _
    ByVal Y_rptr As IntPtr, _
    ByVal F_rptr As IntPtr _
  )

   Declare Sub D02LAF Lib "FLDLL224M_nag.dll" ( _
    ByVal FCN As D02LAF_FCN_DELEGATE, _
    ByRef NEQ As Integer, _
    ByRef T As Double, _
    ByRef TEND As Double, _
    ByRef Y As Double, _
    ByRef YP As Double, _
    ByRef YDP As Double, _
    ByRef RWORK As Double, _
    ByRef LRWORK As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub D02LXF Lib "FLDLL224M_nag.dll" ( _
    ByRef NEQ As Integer, _
    ByRef H As Double, _
    ByRef TOL As Double, _
    ByRef THRES As Double, _
    ByRef THRESP As Double, _
    ByRef MAXSTP As Integer, _
    ByRef START As Integer, _
    ByRef ONESTP As Integer, _
    ByRef HIGH As Integer, _
    ByRef RWORK As Double, _
    ByRef LRWORK As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub D02LYF Lib "FLDLL224M_nag.dll" ( _
    ByRef NEQ As Integer, _
    ByRef HNEXT As Double, _
    ByRef HUSED As Double, _
    ByRef HSTART As Double, _
    ByRef NSUCC As Integer, _
    ByRef NFAIL As Integer, _
    ByRef NATT As Integer, _
    ByRef THRES As Double, _
    ByRef THRESP As Double, _
    ByRef RWORK As Double, _
    ByRef LRWORK As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub D02LZF Lib "FLDLL224M_nag.dll" ( _
    ByRef NEQ As Integer, _
    ByRef T As Double, _
    ByRef Y As Double, _
    ByRef YP As Double, _
    ByRef NWANT As Integer, _
    ByRef TWANT As Double, _
    ByRef YWANT As Double, _
    ByRef YPWANT As Double, _
    ByRef RWORK As Double, _
    ByRef LRWORK As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub D02MCF Lib "FLDLL224M_nag.dll" ( _
    ByRef ICOM As Integer _
   )


   Declare Sub D02MVF Lib "FLDLL224M_nag.dll" ( _
    ByRef NEQMAX As Integer, _
    ByRef SDYSAV As Integer, _
    ByRef MAXORD As Integer, _
    ByRef CON As Double, _
    ByRef TCRIT As Double, _
    ByRef HMIN As Double, _
    ByRef HMAX As Double, _
    ByRef H0 As Double, _
    ByRef MAXSTP As Integer, _
    ByRef MXHNIL As Integer, _
    ByVal NORM As string, ByVal NORMLength As Integer, _
    ByRef RWORK As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub D02MWF Lib "FLDLL224M_nag.dll" ( _
    ByRef NEQ As Integer, _
    ByRef MAXORD As Integer, _
    ByVal JCEVAL As string, ByVal JCEVALLength As Integer, _
    ByRef HMAX As Double, _
    ByRef H0 As Double, _
    ByRef ITOL As Integer, _
    ByRef ICOM As Integer, _
    ByRef LICOM As Integer, _
    ByRef COM As Double, _
    ByRef LCOM As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub D02MZF Lib "FLDLL224M_nag.dll" ( _
    ByRef TSOL As Double, _
    ByRef SOL As Double, _
    ByRef M As Integer, _
    ByRef LDYSAV As Integer, _
    ByRef NEQ As Integer, _
    ByRef YSAV As Double, _
    ByRef SDYSAV As Integer, _
    ByRef RWORK As Double, _
    ByRef IFAIL As Integer _
   )


  Delegate Sub D02NBF_FCN_DELEGATE( _
    ByRef NEQ As Integer, _
    ByRef T As Double, _
    ByVal Y_rptr As IntPtr, _
    ByVal F_rptr As IntPtr, _
    ByRef IRES As Integer _
  )

  Delegate Sub D02NBF_JAC_DELEGATE( _
    ByRef NEQ As Integer, _
    ByRef T As Double, _
    ByVal Y_rptr As IntPtr, _
    ByRef H As Double, _
    ByRef D As Double, _
    ByVal P_rptr As IntPtr _
  )

   Declare Sub D02NBZ Lib "FLDLL224M_nag.dll" ( _
    ByRef NEQ As Integer, _
    ByRef T As Double, _
    ByVal Y_rptr As IntPtr, _
    ByRef H As Double, _
    ByRef D As Double, _
    ByVal P_rptr As IntPtr _
  )

  Delegate Sub D02NBF_MONITR_DELEGATE( _
    ByRef NEQ As Integer, _
    ByRef LDYSAV As Integer, _
    ByRef T As Double, _
    ByRef HLAST As Double, _
    ByRef HNEXT As Double, _
    ByVal Y_rptr As IntPtr, _
    ByVal YDOT_rptr As IntPtr, _
    ByVal YSAV_rptr As IntPtr, _
    ByVal R_rptr As IntPtr, _
    ByVal ACOR_rptr As IntPtr, _
    ByRef IMON As Integer, _
    ByRef INLN As Integer, _
    ByRef HMIN As Double, _
    ByRef HMAX As Double, _
    ByRef NQU As Integer _
  )

   Declare Sub D02NBY Lib "FLDLL224M_nag.dll" ( _
    ByRef NEQ As Integer, _
    ByRef LDYSAV As Integer, _
    ByRef T As Double, _
    ByRef HLAST As Double, _
    ByRef HNEXT As Double, _
    ByVal Y_rptr As IntPtr, _
    ByVal YDOT_rptr As IntPtr, _
    ByVal YSAV_rptr As IntPtr, _
    ByVal R_rptr As IntPtr, _
    ByVal ACOR_rptr As IntPtr, _
    ByRef IMON As Integer, _
    ByRef INLN As Integer, _
    ByRef HMIN As Double, _
    ByRef HMAX As Double, _
    ByRef NQU As Integer _
  )

   Declare Sub D02NBF Lib "FLDLL224M_nag.dll" ( _
    ByRef NEQ As Integer, ByRef LDYSAV As Integer, ByRef T As Double, _
    ByRef TOUT As Double, ByRef Y As Double, ByRef YDOT As Double, _
    ByRef RWORK As Double, ByRef RTOL As Double, ByRef ATOL As Double, _
    ByRef ITOL As Integer, ByRef INFORM As Integer, ByVal FCN As D02NBF_FCN_DELEGATE, _
    ByRef YSAV As Double, ByRef SDYSAV As Integer, ByVal JAC As D02NBF_JAC_DELEGATE, _
    ByRef WKJAC As Double, ByRef NWKJAC As Integer, ByVal MONITR As D02NBF_MONITR_DELEGATE, _
    ByRef ITASK As Integer, ByRef ITRACE As Integer, ByRef IFAIL As Integer _
   )


  Delegate Sub D02NCF_FCN_DELEGATE( _
    ByRef NEQ As Integer, _
    ByRef T As Double, _
    ByVal Y_rptr As IntPtr, _
    ByVal F_rptr As IntPtr, _
    ByRef IRES As Integer _
  )

  Delegate Sub D02NCF_JAC_DELEGATE( _
    ByRef NEQ As Integer, _
    ByRef T As Double, _
    ByVal Y_rptr As IntPtr, _
    ByRef H As Double, _
    ByRef D As Double, _
    ByRef ML As Integer, _
    ByRef MU As Integer, _
    ByVal P_rptr As IntPtr _
  )

   Declare Sub D02NCZ Lib "FLDLL224M_nag.dll" ( _
    ByRef NEQ As Integer, _
    ByRef T As Double, _
    ByVal Y_rptr As IntPtr, _
    ByRef H As Double, _
    ByRef D As Double, _
    ByRef ML As Integer, _
    ByRef MU As Integer, _
    ByVal P_rptr As IntPtr _
  )

  Delegate Sub D02NCF_MONITR_DELEGATE( _
    ByRef NEQ As Integer, _
    ByRef LDYSAV As Integer, _
    ByRef T As Double, _
    ByRef HLAST As Double, _
    ByRef HNEXT As Double, _
    ByVal Y_rptr As IntPtr, _
    ByVal YDOT_rptr As IntPtr, _
    ByVal YSAV_rptr As IntPtr, _
    ByVal R_rptr As IntPtr, _
    ByVal ACOR_rptr As IntPtr, _
    ByRef IMON As Integer, _
    ByRef INLN As Integer, _
    ByRef HMIN As Double, _
    ByRef HMAX As Double, _
    ByRef NQU As Integer _
  )


   Declare Sub D02NCF Lib "FLDLL224M_nag.dll" ( _
    ByRef NEQ As Integer, ByRef LDYSAV As Integer, ByRef T As Double, _
    ByRef TOUT As Double, ByRef Y As Double, ByRef YDOT As Double, _
    ByRef RWORK As Double, ByRef RTOL As Double, ByRef ATOL As Double, _
    ByRef ITOL As Integer, ByRef INFORM As Integer, ByVal FCN As D02NCF_FCN_DELEGATE, _
    ByRef YSAV As Double, ByRef SDYSAV As Integer, ByVal JAC As D02NCF_JAC_DELEGATE, _
    ByRef WKJAC As Double, ByRef NWKJAC As Integer, ByRef JACPVT As Integer, _
    ByRef NJCPVT As Integer, ByVal MONITR As D02NCF_MONITR_DELEGATE, ByRef ITASK As Integer, _
    ByRef ITRACE As Integer, ByRef IFAIL As Integer _
   )


  Delegate Sub D02NDF_FCN_DELEGATE( _
    ByRef NEQ As Integer, _
    ByRef T As Double, _
    ByVal Y_rptr As IntPtr, _
    ByVal F_rptr As IntPtr, _
    ByRef IRES As Integer _
  )

  Delegate Sub D02NDF_JAC_DELEGATE( _
    ByRef NEQ As Integer, _
    ByRef T As Double, _
    ByVal Y_rptr As IntPtr, _
    ByRef H As Double, _
    ByRef D As Double, _
    ByRef J As Integer, _
    ByVal PDJ_rptr As IntPtr _
  )

   Declare Sub D02NDZ Lib "FLDLL224M_nag.dll" ( _
    ByRef NEQ As Integer, _
    ByRef T As Double, _
    ByVal Y_rptr As IntPtr, _
    ByRef H As Double, _
    ByRef D As Double, _
    ByRef J As Integer, _
    ByVal PDJ_rptr As IntPtr _
  )

  Delegate Sub D02NDF_MONITR_DELEGATE( _
    ByRef NEQ As Integer, _
    ByRef LDYSAV As Integer, _
    ByRef T As Double, _
    ByRef HLAST As Double, _
    ByRef HNEXT As Double, _
    ByVal Y_rptr As IntPtr, _
    ByVal YDOT_rptr As IntPtr, _
    ByVal YSAV_rptr As IntPtr, _
    ByVal R_rptr As IntPtr, _
    ByVal ACOR_rptr As IntPtr, _
    ByRef IMON As Integer, _
    ByRef INLN As Integer, _
    ByRef HMIN As Double, _
    ByRef HMAX As Double, _
    ByRef NQU As Integer _
  )


   Declare Sub D02NDF Lib "FLDLL224M_nag.dll" ( _
    ByRef NEQ As Integer, ByRef LDYSAV As Integer, ByRef T As Double, _
    ByRef TOUT As Double, ByRef Y As Double, ByRef YDOT As Double, _
    ByRef RWORK As Double, ByRef RTOL As Double, ByRef ATOL As Double, _
    ByRef ITOL As Integer, ByRef INFORM As Integer, ByVal FCN As D02NDF_FCN_DELEGATE, _
    ByRef YSAV As Double, ByRef SDYSAV As Integer, ByVal JAC As D02NDF_JAC_DELEGATE, _
    ByRef WKJAC As Double, ByRef NWKJAC As Integer, ByRef JACPVT As Integer, _
    ByRef NJCPVT As Integer, ByVal MONITR As D02NDF_MONITR_DELEGATE, ByRef ITASK As Integer, _
    ByRef ITRACE As Integer, ByRef IFAIL As Integer _
   )


  Delegate Sub D02NEF_RES_DELEGATE( _
    ByRef NEQ As Integer, _
    ByRef T As Double, _
    ByVal Y_rptr As IntPtr, _
    ByVal YDOT_rptr As IntPtr, _
    ByVal R_rptr As IntPtr, _
    ByRef IRES As Integer, _
    ByVal IUSER_iptr As IntPtr, _
    ByVal RUSER_rptr As IntPtr _
  )

  Delegate Sub D02NEF_JAC_DELEGATE( _
    ByRef NEQ As Integer, _
    ByRef T As Double, _
    ByVal Y_rptr As IntPtr, _
    ByVal YDOT_rptr As IntPtr, _
    ByVal PD_rptr As IntPtr, _
    ByRef CJ As Double, _
    ByVal IUSER_iptr As IntPtr, _
    ByVal RUSER_rptr As IntPtr _
  )

   Declare Sub D02NEZ Lib "FLDLL224M_nag.dll" ( _
    ByRef NEQ As Integer, _
    ByRef T As Double, _
    ByVal Y_rptr As IntPtr, _
    ByVal YDOT_rptr As IntPtr, _
    ByVal PD_rptr As IntPtr, _
    ByRef CJ As Double, _
    ByVal IUSER_iptr As IntPtr, _
    ByVal RUSER_rptr As IntPtr _
  )

   Declare Sub D02NEF Lib "FLDLL224M_nag.dll" ( _
    ByRef NEQ As Integer, _
    ByRef T As Double, _
    ByRef TOUT As Double, _
    ByRef Y As Double, _
    ByRef YDOT As Double, _
    ByRef RTOL As Double, _
    ByRef ATOL As Double, _
    ByRef ITASK As Integer, _
    ByVal RES As D02NEF_RES_DELEGATE, _
    ByVal JAC As D02NEF_JAC_DELEGATE, _
    ByRef ICOM As Integer, _
    ByRef COM As Double, _
    ByRef LCOM As Integer, _
    ByRef IUSER As Integer, _
    ByRef RUSER As Double, _
    ByRef IFAIL As Integer _
   )


  Delegate Sub D02NGF_RESID_DELEGATE( _
    ByRef NEQ As Integer, _
    ByRef T As Double, _
    ByVal Y_rptr As IntPtr, _
    ByVal YDOT_rptr As IntPtr, _
    ByVal R_rptr As IntPtr, _
    ByRef IRES As Integer _
  )

  Delegate Sub D02NGF_JAC_DELEGATE( _
    ByRef NEQ As Integer, _
    ByRef T As Double, _
    ByVal Y_rptr As IntPtr, _
    ByVal YDOT_rptr As IntPtr, _
    ByRef H As Double, _
    ByRef D As Double, _
    ByVal P_rptr As IntPtr _
  )

   Declare Sub D02NGZ Lib "FLDLL224M_nag.dll" ( _
    ByRef NEQ As Integer, _
    ByRef T As Double, _
    ByVal Y_rptr As IntPtr, _
    ByVal YDOT_rptr As IntPtr, _
    ByRef H As Double, _
    ByRef D As Double, _
    ByVal P_rptr As IntPtr _
  )

  Delegate Sub D02NGF_MONITR_DELEGATE( _
    ByRef NEQ As Integer, _
    ByRef LDYSAV As Integer, _
    ByRef T As Double, _
    ByRef HLAST As Double, _
    ByRef HNEXT As Double, _
    ByVal Y_rptr As IntPtr, _
    ByVal YDOT_rptr As IntPtr, _
    ByVal YSAV_rptr As IntPtr, _
    ByVal R_rptr As IntPtr, _
    ByVal ACOR_rptr As IntPtr, _
    ByRef IMON As Integer, _
    ByRef INLN As Integer, _
    ByRef HMIN As Double, _
    ByRef HMAX As Double, _
    ByRef NQU As Integer _
  )


   Declare Sub D02NGF Lib "FLDLL224M_nag.dll" ( _
    ByRef NEQ As Integer, ByRef LDYSAV As Integer, ByRef T As Double, _
    ByRef TOUT As Double, ByRef Y As Double, ByRef YDOT As Double, _
    ByRef RWORK As Double, ByRef RTOL As Double, ByRef ATOL As Double, _
    ByRef ITOL As Integer, ByRef INFORM As Integer, ByVal RESID As D02NGF_RESID_DELEGATE, _
    ByRef YSAV As Double, ByRef SDYSAV As Integer, ByVal JAC As D02NGF_JAC_DELEGATE, _
    ByRef WKJAC As Double, ByRef NWKJAC As Integer, ByVal MONITR As D02NGF_MONITR_DELEGATE, _
    ByRef LDERIV As Integer, ByRef ITASK As Integer, ByRef ITRACE As Integer, _
    ByRef IFAIL As Integer _
   )


  Delegate Sub D02NHF_RESID_DELEGATE( _
    ByRef NEQ As Integer, _
    ByRef T As Double, _
    ByVal Y_rptr As IntPtr, _
    ByVal YDOT_rptr As IntPtr, _
    ByVal R_rptr As IntPtr, _
    ByRef IRES As Integer _
  )

  Delegate Sub D02NHF_JAC_DELEGATE( _
    ByRef NEQ As Integer, _
    ByRef T As Double, _
    ByVal Y_rptr As IntPtr, _
    ByVal YDOT_rptr As IntPtr, _
    ByRef H As Double, _
    ByRef D As Double, _
    ByRef ML As Integer, _
    ByRef MU As Integer, _
    ByVal P_rptr As IntPtr _
  )

   Declare Sub D02NHZ Lib "FLDLL224M_nag.dll" ( _
    ByRef NEQ As Integer, _
    ByRef T As Double, _
    ByVal Y_rptr As IntPtr, _
    ByVal YDOT_rptr As IntPtr, _
    ByRef H As Double, _
    ByRef D As Double, _
    ByRef ML As Integer, _
    ByRef MU As Integer, _
    ByVal P_rptr As IntPtr _
  )

  Delegate Sub D02NHF_MONITR_DELEGATE( _
    ByRef NEQ As Integer, _
    ByRef LDYSAV As Integer, _
    ByRef T As Double, _
    ByRef HLAST As Double, _
    ByRef HNEXT As Double, _
    ByVal Y_rptr As IntPtr, _
    ByVal YDOT_rptr As IntPtr, _
    ByVal YSAV_rptr As IntPtr, _
    ByVal R_rptr As IntPtr, _
    ByVal ACOR_rptr As IntPtr, _
    ByRef IMON As Integer, _
    ByRef INLN As Integer, _
    ByRef HMIN As Double, _
    ByRef HMAX As Double, _
    ByRef NQU As Integer _
  )


   Declare Sub D02NHF Lib "FLDLL224M_nag.dll" ( _
    ByRef NEQ As Integer, ByRef LDYSAV As Integer, ByRef T As Double, _
    ByRef TOUT As Double, ByRef Y As Double, ByRef YDOT As Double, _
    ByRef RWORK As Double, ByRef RTOL As Double, ByRef ATOL As Double, _
    ByRef ITOL As Integer, ByRef INFORM As Integer, ByVal RESID As D02NHF_RESID_DELEGATE, _
    ByRef YSAV As Double, ByRef SDYSAV As Integer, ByVal JAC As D02NHF_JAC_DELEGATE, _
    ByRef WKJAC As Double, ByRef NWKJAC As Integer, ByRef JACPVT As Integer, _
    ByRef NJCPVT As Integer, ByVal MONITR As D02NHF_MONITR_DELEGATE, ByRef LDERIV As Integer, _
    ByRef ITASK As Integer, ByRef ITRACE As Integer, ByRef IFAIL As Integer _
   )


  Delegate Sub D02NJF_RESID_DELEGATE( _
    ByRef NEQ As Integer, _
    ByRef T As Double, _
    ByVal Y_rptr As IntPtr, _
    ByVal YDOT_rptr As IntPtr, _
    ByVal R_rptr As IntPtr, _
    ByRef IRES As Integer _
  )

  Delegate Sub D02NJF_JAC_DELEGATE( _
    ByRef NEQ As Integer, _
    ByRef T As Double, _
    ByVal Y_rptr As IntPtr, _
    ByVal YDOT_rptr As IntPtr, _
    ByRef H As Double, _
    ByRef D As Double, _
    ByRef J As Integer, _
    ByVal PDJ_rptr As IntPtr _
  )

   Declare Sub D02NJZ Lib "FLDLL224M_nag.dll" ( _
    ByRef NEQ As Integer, _
    ByRef T As Double, _
    ByVal Y_rptr As IntPtr, _
    ByVal YDOT_rptr As IntPtr, _
    ByRef H As Double, _
    ByRef D As Double, _
    ByRef J As Integer, _
    ByVal PDJ_rptr As IntPtr _
  )

  Delegate Sub D02NJF_MONITR_DELEGATE( _
    ByRef NEQ As Integer, _
    ByRef LDYSAV As Integer, _
    ByRef T As Double, _
    ByRef HLAST As Double, _
    ByRef HNEXT As Double, _
    ByVal Y_rptr As IntPtr, _
    ByVal YDOT_rptr As IntPtr, _
    ByVal YSAV_rptr As IntPtr, _
    ByVal R_rptr As IntPtr, _
    ByVal ACOR_rptr As IntPtr, _
    ByRef IMON As Integer, _
    ByRef INLN As Integer, _
    ByRef HMIN As Double, _
    ByRef HMAX As Double, _
    ByRef NQU As Integer _
  )


   Declare Sub D02NJF Lib "FLDLL224M_nag.dll" ( _
    ByRef NEQ As Integer, ByRef LDYSAV As Integer, ByRef T As Double, _
    ByRef TOUT As Double, ByRef Y As Double, ByRef YDOT As Double, _
    ByRef RWORK As Double, ByRef RTOL As Double, ByRef ATOL As Double, _
    ByRef ITOL As Integer, ByRef INFORM As Integer, ByVal RESID As D02NJF_RESID_DELEGATE, _
    ByRef YSAV As Double, ByRef SDYSAV As Integer, ByVal JAC As D02NJF_JAC_DELEGATE, _
    ByRef WKJAC As Double, ByRef NWKJAC As Integer, ByRef JACPVT As Integer, _
    ByRef NJCPVT As Integer, ByVal MONITR As D02NJF_MONITR_DELEGATE, ByRef LDERIV As Integer, _
    ByRef ITASK As Integer, ByRef ITRACE As Integer, ByRef IFAIL As Integer _
   )


   Declare Sub D02NMF Lib "FLDLL224M_nag.dll" ( _
    ByRef NEQ As Integer, ByRef LDYSAV As Integer, ByRef T As Double, _
    ByRef TOUT As Double, ByRef Y As Double, ByRef YDOT As Double, _
    ByRef RWORK As Double, ByRef RTOL As Double, ByRef ATOL As Double, _
    ByRef ITOL As Integer, ByRef INFORM As Integer, ByRef YSAV As Double, _
    ByRef SDYSAV As Integer, ByRef WKJAC As Double, ByRef NWKJAC As Integer, _
    ByRef JACPVT As Integer, ByRef NJCPVT As Integer, ByRef IMON As Integer, _
    ByRef INLN As Integer, ByRef IRES As Integer, ByRef IREVCM As Integer, _
    ByRef ITASK As Integer, ByRef ITRACE As Integer, ByRef IFAIL As Integer _
   )


   Declare Sub D02NNF Lib "FLDLL224M_nag.dll" ( _
    ByRef NEQ As Integer, ByRef LDYSAV As Integer, ByRef T As Double, _
    ByRef TOUT As Double, ByRef Y As Double, ByRef YDOT As Double, _
    ByRef RWORK As Double, ByRef RTOL As Double, ByRef ATOL As Double, _
    ByRef ITOL As Integer, ByRef INFORM As Integer, ByRef YSAV As Double, _
    ByRef SDYSAV As Integer, ByRef WKJAC As Double, ByRef NWKJAC As Integer, _
    ByRef JACPVT As Integer, ByRef NJCPVT As Integer, ByRef IMON As Integer, _
    ByRef INLN As Integer, ByRef IRES As Integer, ByRef IREVCM As Integer, _
    ByRef LDERIV As Integer, ByRef ITASK As Integer, ByRef ITRACE As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub D02NPF Lib "FLDLL224M_nag.dll" ( _
    ByRef NEQ As Integer, _
    ByRef ML As Integer, _
    ByRef MU As Integer, _
    ByRef ICOM As Integer, _
    ByRef LICOM As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub D02NRF Lib "FLDLL224M_nag.dll" ( _
    ByRef J As Integer, _
    ByRef IPLACE As Integer, _
    ByRef INFORM As Integer _
   )


   Declare Sub D02NSF Lib "FLDLL224M_nag.dll" ( _
    ByRef NEQ As Integer, _
    ByRef NEQMAX As Integer, _
    ByVal JCEVAL As string, ByVal JCEVALLength As Integer, _
    ByRef NWKJAC As Integer, _
    ByRef RWORK As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub D02NTF Lib "FLDLL224M_nag.dll" ( _
    ByRef NEQ As Integer, _
    ByRef NEQMAX As Integer, _
    ByVal JCEVAL As string, ByVal JCEVALLength As Integer, _
    ByRef ML As Integer, _
    ByRef MU As Integer, _
    ByRef NWKJAC As Integer, _
    ByRef NJCPVT As Integer, _
    ByRef RWORK As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub D02NUF Lib "FLDLL224M_nag.dll" ( _
    ByRef NEQ As Integer, _
    ByRef NEQMAX As Integer, _
    ByVal JCEVAL As string, ByVal JCEVALLength As Integer, _
    ByRef NWKJAC As Integer, _
    ByRef IA As Integer, _
    ByRef NIA As Integer, _
    ByRef JA As Integer, _
    ByRef NJA As Integer, _
    ByRef JACPVT As Integer, _
    ByRef NJCPVT As Integer, _
    ByRef SENS As Double, _
    ByRef U As Double, _
    ByRef ETA As Double, _
    ByRef LBLOCK As Integer, _
    ByRef ISPLIT As Integer, _
    ByRef RWORK As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub D02NVF Lib "FLDLL224M_nag.dll" ( _
    ByRef NEQMAX As Integer, _
    ByRef SDYSAV As Integer, _
    ByRef MAXORD As Integer, _
    ByVal METHOD As string, ByVal METHODLength As Integer, _
    ByRef PETZLD As Integer, _
    ByRef CON As Double, _
    ByRef TCRIT As Double, _
    ByRef HMIN As Double, _
    ByRef HMAX As Double, _
    ByRef H0 As Double, _
    ByRef MAXSTP As Integer, _
    ByRef MXHNIL As Integer, _
    ByVal NORM As string, ByVal NORMLength As Integer, _
    ByRef RWORK As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub D02NWF Lib "FLDLL224M_nag.dll" ( _
    ByRef NEQMAX As Integer, _
    ByRef SDYSAV As Integer, _
    ByRef MAXORD As Integer, _
    ByRef CON As Double, _
    ByRef TCRIT As Double, _
    ByRef HMIN As Double, _
    ByRef HMAX As Double, _
    ByRef H0 As Double, _
    ByRef MAXSTP As Integer, _
    ByRef MXHNIL As Integer, _
    ByVal NORM As string, ByVal NORMLength As Integer, _
    ByRef RWORK As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub D02NXF Lib "FLDLL224M_nag.dll" ( _
    ByRef ICALL As Integer, _
    ByRef LIWREQ As Integer, _
    ByRef LIWUSD As Integer, _
    ByRef LRWREQ As Integer, _
    ByRef LRWUSD As Integer, _
    ByRef NLU As Integer, _
    ByRef NNZ As Integer, _
    ByRef NGP As Integer, _
    ByRef ISPLIT As Integer, _
    ByRef IGROW As Integer, _
    ByRef LBLOCK As Integer, _
    ByRef NBLOCK As Integer, _
    ByRef INFORM As Integer _
   )


   Declare Sub D02NYF Lib "FLDLL224M_nag.dll" ( _
    ByRef NEQ As Integer, _
    ByRef NEQMAX As Integer, _
    ByRef HU As Double, _
    ByRef H As Double, _
    ByRef TCUR As Double, _
    ByRef TOLSF As Double, _
    ByRef RWORK As Double, _
    ByRef NST As Integer, _
    ByRef NRE As Integer, _
    ByRef NJE As Integer, _
    ByRef NQU As Integer, _
    ByRef NQ As Integer, _
    ByRef NITER As Integer, _
    ByRef IMXER As Integer, _
    ByRef ALGEQU As Integer, _
    ByRef INFORM As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub D02NZF Lib "FLDLL224M_nag.dll" ( _
    ByRef NEQMAX As Integer, _
    ByRef TCRIT As Double, _
    ByRef H As Double, _
    ByRef HMIN As Double, _
    ByRef HMAX As Double, _
    ByRef MAXSTP As Integer, _
    ByRef MXHNIL As Integer, _
    ByRef RWORK As Double, _
    ByRef IFAIL As Integer _
   )


  Delegate Sub D02PCF_F_DELEGATE( _
    ByRef T As Double, _
    ByVal Y_rptr As IntPtr, _
    ByVal YP_rptr As IntPtr _
  )

   Declare Sub D02PCF Lib "FLDLL224M_nag.dll" ( _
    ByVal F As D02PCF_F_DELEGATE, _
    ByRef TWANT As Double, _
    ByRef TGOT As Double, _
    ByRef YGOT As Double, _
    ByRef YPGOT As Double, _
    ByRef YMAX As Double, _
    ByRef WORK As Double, _
    ByRef IFAIL As Integer _
   )


  Delegate Sub D02PDF_F_DELEGATE( _
    ByRef T As Double, _
    ByVal Y_rptr As IntPtr, _
    ByVal YP_rptr As IntPtr _
  )

   Declare Sub D02PDF Lib "FLDLL224M_nag.dll" ( _
    ByVal F As D02PDF_F_DELEGATE, _
    ByRef TNOW As Double, _
    ByRef YNOW As Double, _
    ByRef YPNOW As Double, _
    ByRef WORK As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub D02PVF Lib "FLDLL224M_nag.dll" ( _
    ByRef NEQ As Integer, _
    ByRef TSTART As Double, _
    ByRef YSTART As Double, _
    ByRef TEND As Double, _
    ByRef TOL As Double, _
    ByRef THRES As Double, _
    ByRef METHOD As Integer, _
    ByVal TASK As string, ByVal TASKLength As Integer, _
    ByRef ERRASS As Integer, _
    ByRef HSTART As Double, _
    ByRef WORK As Double, _
    ByRef LENWRK As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub D02PWF Lib "FLDLL224M_nag.dll" ( _
    ByRef TENDNU As Double, _
    ByRef IFAIL As Integer _
   )


  Delegate Sub D02PXF_F_DELEGATE( _
    ByRef T As Double, _
    ByVal Y_rptr As IntPtr, _
    ByVal YP_rptr As IntPtr _
  )

   Declare Sub D02PXF Lib "FLDLL224M_nag.dll" ( _
    ByRef TWANT As Double, _
    ByVal REQEST As string, ByVal REQESTLength As Integer, _
    ByRef NWANT As Integer, _
    ByRef YWANT As Double, _
    ByRef YPWANT As Double, _
    ByVal F As D02PXF_F_DELEGATE, _
    ByRef WORK As Double, _
    ByRef WRKINT As Double, _
    ByRef LENINT As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub D02PYF Lib "FLDLL224M_nag.dll" ( _
    ByRef TOTFCN As Integer, _
    ByRef STPCST As Integer, _
    ByRef WASTE As Double, _
    ByRef STPSOK As Integer, _
    ByRef HNEXT As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub D02PZF Lib "FLDLL224M_nag.dll" ( _
    ByRef RMSERR As Double, _
    ByRef ERRMAX As Double, _
    ByRef TERRMX As Double, _
    ByRef WORK As Double, _
    ByRef IFAIL As Integer _
   )


  Delegate Sub D02QFF_FCN_DELEGATE( _
    ByRef NEQF As Integer, _
    ByRef X As Double, _
    ByVal Y_rptr As IntPtr, _
    ByVal F_rptr As IntPtr _
  )

  Delegate Function D02QFF_G_DELEGATE( _
    ByRef NEQF As Integer, _
    ByRef X As Double, _
    ByVal Y_rptr As IntPtr, _
    ByVal YP_rptr As IntPtr, _
    ByRef K As Integer _
  ) as Double

   Declare Function D02QFZ Lib "FLDLL224M_nag.dll" ( _
    ByRef NEQF As Integer, _
    ByRef X As Double, _
    ByVal Y_rptr As IntPtr, _
    ByVal YP_rptr As IntPtr, _
    ByRef K As Integer _
  ) as Double

   Declare Sub D02QFF Lib "FLDLL224M_nag.dll" ( _
    ByVal FCN As D02QFF_FCN_DELEGATE, _
    ByRef NEQF As Integer, _
    ByRef T As Double, _
    ByRef Y As Double, _
    ByRef TOUT As Double, _
    ByVal G As D02QFF_G_DELEGATE, _
    ByRef NEQG As Integer, _
    ByRef ROOT As Integer, _
    ByRef RWORK As Double, _
    ByRef LRWORK As Integer, _
    ByRef IWORK As Integer, _
    ByRef LIWORK As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub D02QGF Lib "FLDLL224M_nag.dll" ( _
    ByRef NEQF As Integer, _
    ByRef T As Double, _
    ByRef Y As Double, _
    ByRef TOUT As Double, _
    ByRef NEQG As Integer, _
    ByRef ROOT As Integer, _
    ByRef IREVCM As Integer, _
    ByRef TRVCM As Double, _
    ByRef YRVCM As Integer, _
    ByRef YPRVCM As Integer, _
    ByRef GRVCM As Double, _
    ByRef KGRVCM As Integer, _
    ByRef RWORK As Double, _
    ByRef LRWORK As Integer, _
    ByRef IWORK As Integer, _
    ByRef LIWORK As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub D02QWF Lib "FLDLL224M_nag.dll" ( _
    ByVal STATEF As string, ByVal STATEFLength As Integer, ByRef NEQF As Integer, ByRef VECTOL As Integer, _
    ByRef ATOL As Double, ByRef LATOL As Integer, ByRef RTOL As Double, _
    ByRef LRTOL As Integer, ByRef ONESTP As Integer, ByRef CRIT As Integer, _
    ByRef TCRIT As Double, ByRef HMAX As Double, ByRef MAXSTP As Integer, _
    ByRef NEQG As Integer, ByRef ALTERG As Integer, ByRef SOPHST As Integer, _
    ByRef RWORK As Double, ByRef LRWORK As Integer, ByRef IWORK As Integer, _
    ByRef LIWORK As Integer, ByRef IFAIL As Integer _
   )


   Declare Sub D02QXF Lib "FLDLL224M_nag.dll" ( _
    ByRef NEQF As Integer, _
    ByRef YP As Double, _
    ByRef TCURR As Double, _
    ByRef HLAST As Double, _
    ByRef HNEXT As Double, _
    ByRef ODLAST As Integer, _
    ByRef ODNEXT As Integer, _
    ByRef NSUCC As Integer, _
    ByRef NFAIL As Integer, _
    ByRef TOLFAC As Double, _
    ByRef BADCMP As Integer, _
    ByRef RWORK As Double, _
    ByRef LRWORK As Integer, _
    ByRef IWORK As Integer, _
    ByRef LIWORK As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub D02QYF Lib "FLDLL224M_nag.dll" ( _
    ByRef NEQG As Integer, _
    ByRef INDEX As Integer, _
    ByRef ITYPE As Integer, _
    ByRef EVENTS As Integer, _
    ByRef RESIDS As Double, _
    ByRef RWORK As Double, _
    ByRef LRWORK As Integer, _
    ByRef IWORK As Integer, _
    ByRef LIWORK As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub D02QZF Lib "FLDLL224M_nag.dll" ( _
    ByRef NEQF As Integer, _
    ByRef TWANT As Double, _
    ByRef NWANT As Integer, _
    ByRef YWANT As Double, _
    ByRef YPWANT As Double, _
    ByRef RWORK As Double, _
    ByRef LRWORK As Integer, _
    ByRef IWORK As Integer, _
    ByRef LIWORK As Integer, _
    ByRef IFAIL As Integer _
   )


  Delegate Sub D02RAF_FCN_DELEGATE( _
    ByRef X As Double, _
    ByRef EPS As Double, _
    ByVal Y_rptr As IntPtr, _
    ByVal F_rptr As IntPtr, _
    ByRef N As Integer _
  )

  Delegate Sub D02RAF_G_DELEGATE( _
    ByRef EPS As Double, _
    ByVal YA_rptr As IntPtr, _
    ByVal YB_rptr As IntPtr, _
    ByVal BC_rptr As IntPtr, _
    ByRef N As Integer _
  )

  Delegate Sub D02RAF_JACOBF_DELEGATE( _
    ByRef X As Double, _
    ByRef EPS As Double, _
    ByVal Y_rptr As IntPtr, _
    ByVal F_rptr As IntPtr, _
    ByRef N As Integer _
  )

   Declare Sub D02GAZ Lib "FLDLL224M_nag.dll" ( _
    ByRef X As Double, _
    ByRef EPS As Double, _
    ByVal Y_rptr As IntPtr, _
    ByVal F_rptr As IntPtr, _
    ByRef N As Integer _
  )

  Delegate Sub D02RAF_JACOBG_DELEGATE( _
    ByRef EPS As Double, _
    ByVal YA_rptr As IntPtr, _
    ByVal YB_rptr As IntPtr, _
    ByVal AJ_rptr As IntPtr, _
    ByVal BJ_rptr As IntPtr, _
    ByRef N As Integer _
  )

   Declare Sub D02GAY Lib "FLDLL224M_nag.dll" ( _
    ByRef EPS As Double, _
    ByVal YA_rptr As IntPtr, _
    ByVal YB_rptr As IntPtr, _
    ByVal AJ_rptr As IntPtr, _
    ByVal BJ_rptr As IntPtr, _
    ByRef N As Integer _
  )

  Delegate Sub D02RAF_JACEPS_DELEGATE( _
    ByRef X As Double, _
    ByRef EPS As Double, _
    ByVal Y_rptr As IntPtr, _
    ByVal F_rptr As IntPtr, _
    ByRef N As Integer _
  )

   Declare Sub D02GAW Lib "FLDLL224M_nag.dll" ( _
    ByRef X As Double, _
    ByRef EPS As Double, _
    ByVal Y_rptr As IntPtr, _
    ByVal F_rptr As IntPtr, _
    ByRef N As Integer _
  )

  Delegate Sub D02RAF_JACGEP_DELEGATE( _
    ByRef EPS As Double, _
    ByVal YA_rptr As IntPtr, _
    ByVal YB_rptr As IntPtr, _
    ByVal BCEP_rptr As IntPtr, _
    ByRef N As Integer _
  )

   Declare Sub D02GAX Lib "FLDLL224M_nag.dll" ( _
    ByRef EPS As Double, _
    ByVal YA_rptr As IntPtr, _
    ByVal YB_rptr As IntPtr, _
    ByVal BCEP_rptr As IntPtr, _
    ByRef N As Integer _
  )

   Declare Sub D02RAF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, ByRef MNP As Integer, ByRef NP As Integer, _
    ByRef NUMBEG As Integer, ByRef NUMMIX As Integer, ByRef TOL As Double, _
    ByRef INIT As Integer, ByRef X As Double, ByRef Y As Double, _
    ByRef LDY As Integer, ByRef ABT As Double, ByVal FCN As D02RAF_FCN_DELEGATE, _
    ByVal G As D02RAF_G_DELEGATE, ByRef IJAC As Integer, ByVal JACOBF As D02RAF_JACOBF_DELEGATE, _
    ByVal JACOBG As D02RAF_JACOBG_DELEGATE, ByRef DELEPS As Double, ByVal JACEPS As D02RAF_JACEPS_DELEGATE, _
    ByVal JACGEP As D02RAF_JACGEP_DELEGATE, ByRef WORK As Double, ByRef LWORK As Integer, _
    ByRef IWORK As Integer, ByRef LIWORK As Integer, ByRef IFAIL As Integer _
   )


  Delegate Sub D02SAF_RANGE_DELEGATE( _
    ByVal X_rptr As IntPtr, _
    ByRef NPOINT As Integer, _
    ByVal P_rptr As IntPtr, _
    ByRef M As Integer _
  )

  Delegate Sub D02SAF_BC_DELEGATE( _
    ByVal G1_rptr As IntPtr, _
    ByVal G2_rptr As IntPtr, _
    ByVal P_rptr As IntPtr, _
    ByRef M As Integer, _
    ByRef N As Integer _
  )

  Delegate Sub D02SAF_FCN_DELEGATE( _
    ByRef X As Double, _
    ByVal Y_rptr As IntPtr, _
    ByVal F_rptr As IntPtr, _
    ByRef N As Integer, _
    ByVal P_rptr As IntPtr, _
    ByRef M As Integer, _
    ByRef I As Integer _
  )

  Delegate Sub D02SAF_EQN_DELEGATE( _
    ByVal E_rptr As IntPtr, _
    ByRef Q As Integer, _
    ByVal P_rptr As IntPtr, _
    ByRef M As Integer _
  )

   Declare Sub D02HBZ Lib "FLDLL224M_nag.dll" ( _
    ByVal E_rptr As IntPtr, _
    ByRef Q As Integer, _
    ByVal P_rptr As IntPtr, _
    ByRef M As Integer _
  )

  Delegate Function D02SAF_CONSTR_DELEGATE( _
    ByVal P_rptr As IntPtr, _
    ByRef M As Integer _
  ) as Integer

   Declare Function D02HBY Lib "FLDLL224M_nag.dll" ( _
    ByVal P_rptr As IntPtr, _
    ByRef M As Integer _
  ) as Integer

  Delegate Sub D02SAF_MONIT_DELEGATE( _
    ByRef ISTATE As Integer, _
    ByRef IFLAG As Integer, _
    ByRef IFAIL1 As Integer, _
    ByVal P_rptr As IntPtr, _
    ByRef M As Integer, _
    ByVal F_rptr As IntPtr, _
    ByRef PNORM As Double, _
    ByRef PNORM1 As Double, _
    ByRef EPS As Double, _
    ByVal D_rptr As IntPtr _
  )

   Declare Sub D02HBX Lib "FLDLL224M_nag.dll" ( _
    ByRef ISTATE As Integer, _
    ByRef IFLAG As Integer, _
    ByRef IFAIL1 As Integer, _
    ByVal P_rptr As IntPtr, _
    ByRef M As Integer, _
    ByVal F_rptr As IntPtr, _
    ByRef PNORM As Double, _
    ByRef PNORM1 As Double, _
    ByRef EPS As Double, _
    ByVal D_rptr As IntPtr _
  )

   Declare Sub D02SAS Lib "FLDLL224M_nag.dll" ( _
    ByRef ISTATE As Integer, _
    ByRef IFLAG As Integer, _
    ByRef IFAIL1 As Integer, _
    ByVal P_rptr As IntPtr, _
    ByRef M As Integer, _
    ByVal F_rptr As IntPtr, _
    ByRef PNORM As Double, _
    ByRef PNORM1 As Double, _
    ByRef EPS As Double, _
    ByVal D_rptr As IntPtr _
  )

  Delegate Sub D02SAF_PRSOL_DELEGATE( _
    ByRef Z As Double, _
    ByVal Y_rptr As IntPtr, _
    ByRef N As Integer _
  )

   Declare Sub D02HBW Lib "FLDLL224M_nag.dll" ( _
    ByRef Z As Double, _
    ByVal Y_rptr As IntPtr, _
    ByRef N As Integer _
  )

   Declare Sub D02SAF Lib "FLDLL224M_nag.dll" ( _
    ByRef P As Double, ByRef M As Integer, ByRef N As Integer, _
    ByRef N1 As Integer, ByRef PE As Double, ByRef PF As Double, _
    ByRef E As Double, ByRef DP As Double, ByRef NPOINT As Integer, _
    ByRef SWP As Double, ByRef LDSWP As Integer, ByRef ICOUNT As Integer, _
    ByVal RANGE As D02SAF_RANGE_DELEGATE, ByVal BC As D02SAF_BC_DELEGATE, ByVal FCN As D02SAF_FCN_DELEGATE, _
    ByVal EQN As D02SAF_EQN_DELEGATE, ByVal CONSTR As D02SAF_CONSTR_DELEGATE, ByRef YMAX As Double, _
    ByVal MONIT As D02SAF_MONIT_DELEGATE, ByVal PRSOL As D02SAF_PRSOL_DELEGATE, ByRef W As Double, _
    ByRef LDW As Integer, ByRef SDW As Integer, ByRef IFAIL As Integer _
   )


  Delegate Sub D02TGF_COEFF_DELEGATE( _
    ByRef X As Double, _
    ByRef I As Integer, _
    ByVal A_rptr As IntPtr, _
    ByRef IA As Integer, _
    ByRef IA1 As Integer, _
    ByRef RHS As Double _
  )

  Delegate Sub D02TGF_BDYC_DELEGATE( _
    ByRef X As Double, _
    ByRef I As Integer, _
    ByRef J As Integer, _
    ByVal A_rptr As IntPtr, _
    ByRef IA As Integer, _
    ByRef IA1 As Integer, _
    ByRef RHS As Double _
  )

   Declare Sub D02TGF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef M As Integer, _
    ByRef L As Integer, _
    ByRef X0 As Double, _
    ByRef X1 As Double, _
    ByRef K1 As Integer, _
    ByRef KP As Integer, _
    ByRef C As Double, _
    ByRef LDC As Integer, _
    ByVal COEFF As D02TGF_COEFF_DELEGATE, _
    ByVal BDYC As D02TGF_BDYC_DELEGATE, _
    ByRef W As Double, _
    ByRef LW As Integer, _
    ByRef IW As Integer, _
    ByRef LIW As Integer, _
    ByRef IFAIL As Integer _
   )


  Delegate Sub D02TKF_FFUN_DELEGATE( _
    ByRef X As Double, _
    ByVal Y_rptr As IntPtr, _
    ByRef NEQ As Integer, _
    ByVal M_iptr As IntPtr, _
    ByVal F_rptr As IntPtr _
  )

  Delegate Sub D02TKF_FJAC_DELEGATE( _
    ByRef X As Double, _
    ByVal Y_rptr As IntPtr, _
    ByRef NEQ As Integer, _
    ByVal M_iptr As IntPtr, _
    ByVal DFDY_rptr As IntPtr _
  )

  Delegate Sub D02TKF_GAFUN_DELEGATE( _
    ByVal YA_rptr As IntPtr, _
    ByRef NEQ As Integer, _
    ByVal M_iptr As IntPtr, _
    ByRef NLBC As Integer, _
    ByVal GA_rptr As IntPtr _
  )

  Delegate Sub D02TKF_GBFUN_DELEGATE( _
    ByVal YB_rptr As IntPtr, _
    ByRef NEQ As Integer, _
    ByVal M_iptr As IntPtr, _
    ByRef NRBC As Integer, _
    ByVal GB_rptr As IntPtr _
  )

  Delegate Sub D02TKF_GAJAC_DELEGATE( _
    ByVal YA_rptr As IntPtr, _
    ByRef NEQ As Integer, _
    ByVal M_iptr As IntPtr, _
    ByRef NLBC As Integer, _
    ByVal DGADY_rptr As IntPtr _
  )

  Delegate Sub D02TKF_GBJAC_DELEGATE( _
    ByVal YB_rptr As IntPtr, _
    ByRef NEQ As Integer, _
    ByVal M_iptr As IntPtr, _
    ByRef NRBC As Integer, _
    ByVal DGBDY_rptr As IntPtr _
  )

  Delegate Sub D02TKF_GUESS_DELEGATE( _
    ByRef X As Double, _
    ByRef NEQ As Integer, _
    ByVal M_iptr As IntPtr, _
    ByVal Y_rptr As IntPtr, _
    ByVal DYM_rptr As IntPtr _
  )

   Declare Sub D02TKF Lib "FLDLL224M_nag.dll" ( _
    ByVal FFUN As D02TKF_FFUN_DELEGATE, _
    ByVal FJAC As D02TKF_FJAC_DELEGATE, _
    ByVal GAFUN As D02TKF_GAFUN_DELEGATE, _
    ByVal GBFUN As D02TKF_GBFUN_DELEGATE, _
    ByVal GAJAC As D02TKF_GAJAC_DELEGATE, _
    ByVal GBJAC As D02TKF_GBJAC_DELEGATE, _
    ByVal GUESS As D02TKF_GUESS_DELEGATE, _
    ByRef WORK As Double, _
    ByRef IWORK As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub D02TVF Lib "FLDLL224M_nag.dll" ( _
    ByRef NEQ As Integer, _
    ByRef M As Integer, _
    ByRef NLBC As Integer, _
    ByRef NRBC As Integer, _
    ByRef NCOL As Integer, _
    ByRef TOLS As Double, _
    ByRef MXMESH As Integer, _
    ByRef NMESH As Integer, _
    ByRef MESH As Double, _
    ByRef IPMESH As Integer, _
    ByRef RWORK As Double, _
    ByRef LRWORK As Integer, _
    ByRef IWORK As Integer, _
    ByRef LIWORK As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub D02TXF Lib "FLDLL224M_nag.dll" ( _
    ByRef MXMESH As Integer, _
    ByRef NMESH As Integer, _
    ByRef MESH As Double, _
    ByRef IPMESH As Integer, _
    ByRef RWORK As Double, _
    ByRef IWORK As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub D02TYF Lib "FLDLL224M_nag.dll" ( _
    ByRef X As Double, _
    ByRef Y As Double, _
    ByRef NEQ As Integer, _
    ByRef MMAX As Integer, _
    ByRef RWORK As Double, _
    ByRef IWORK As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub D02TZF Lib "FLDLL224M_nag.dll" ( _
    ByRef MXMESH As Integer, _
    ByRef NMESH As Integer, _
    ByRef MESH As Double, _
    ByRef IPMESH As Integer, _
    ByRef ERMX As Double, _
    ByRef IERMX As Integer, _
    ByRef IJERMX As Integer, _
    ByRef RWORK As Double, _
    ByRef IWORK As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub D02XJF Lib "FLDLL224M_nag.dll" ( _
    ByRef XSOL As Double, _
    ByRef SOL As Double, _
    ByRef M As Integer, _
    ByRef YSAV As Double, _
    ByRef LDYSAV As Integer, _
    ByRef SDYSAV As Integer, _
    ByRef NEQ As Integer, _
    ByRef X As Double, _
    ByRef NQU As Integer, _
    ByRef HU As Double, _
    ByRef H As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub D02XKF Lib "FLDLL224M_nag.dll" ( _
    ByRef XSOL As Double, _
    ByRef SOL As Double, _
    ByRef M As Integer, _
    ByRef YSAV As Double, _
    ByRef LDYSAV As Integer, _
    ByRef SDYSAV As Integer, _
    ByRef ACOR As Double, _
    ByRef NEQ As Integer, _
    ByRef X As Double, _
    ByRef NQU As Integer, _
    ByRef HU As Double, _
    ByRef H As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Function D02ZAF Lib "FLDLL224M_nag.dll" ( _
    ByRef NEQ As Integer, _
    ByRef V As Double, _
    ByRef W As Double, _
    ByRef IFAIL As Integer _
   ) as Double


   Declare Sub D03EAF Lib "FLDLL224M_nag.dll" ( _
    ByRef STAGE1 As Integer, _
    ByRef EXT As Integer, _
    ByRef DORM As Integer, _
    ByRef N As Integer, _
    ByRef P As Double, _
    ByRef Q As Double, _
    ByRef X As Double, _
    ByRef Y As Double, _
    ByRef N1P1 As Integer, _
    ByRef PHI As Double, _
    ByRef PHID As Double, _
    ByRef ALPHA As Double, _
    ByRef C As Double, _
    ByRef LDC As Integer, _
    ByRef NP4 As Integer, _
    ByRef ICINT As Integer, _
    ByRef NP1 As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub D03EBF Lib "FLDLL224M_nag.dll" ( _
    ByRef N1 As Integer, ByRef N2 As Integer, ByRef LDA As Integer, _
    ByRef A As Double, ByRef B As Double, ByRef C As Double, _
    ByRef D As Double, ByRef E As Double, ByRef Q As Double, _
    ByRef T As Double, ByRef APARAM As Double, ByRef ITMAX As Integer, _
    ByRef ITCOUN As Integer, ByRef ITUSED As Integer, ByRef NDIR As Integer, _
    ByRef IXN As Integer, ByRef IYN As Integer, ByRef CONRES As Double, _
    ByRef CONCHN As Double, ByRef RESIDS As Double, ByRef CHNGS As Double, _
    ByRef WRKSP1 As Double, ByRef WRKSP2 As Double, ByRef WRKSP3 As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub D03ECF Lib "FLDLL224M_nag.dll" ( _
    ByRef N1 As Integer, ByRef N2 As Integer, ByRef N3 As Integer, _
    ByRef LDA As Integer, ByRef SDA As Integer, ByRef A As Double, _
    ByRef B As Double, ByRef C As Double, ByRef D As Double, _
    ByRef E As Double, ByRef F As Double, ByRef G As Double, _
    ByRef Q As Double, ByRef T As Double, ByRef APARAM As Double, _
    ByRef ITMAX As Integer, ByRef ITCOUN As Integer, ByRef ITUSED As Integer, _
    ByRef NDIR As Integer, ByRef IXN As Integer, ByRef IYN As Integer, _
    ByRef IZN As Integer, ByRef CONRES As Double, ByRef CONCHN As Double, _
    ByRef RESIDS As Double, ByRef CHNGS As Double, ByRef WRKSP1 As Double, _
    ByRef WRKSP2 As Double, ByRef WRKSP3 As Double, ByRef WRKSP4 As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub D03EDF Lib "FLDLL224M_nag.dll" ( _
    ByRef NGX As Integer, _
    ByRef NGY As Integer, _
    ByRef LDA As Integer, _
    ByRef A As Double, _
    ByRef RHS As Double, _
    ByRef UB As Double, _
    ByRef MAXIT As Integer, _
    ByRef ACC As Double, _
    ByRef US As Double, _
    ByRef U As Double, _
    ByRef IOUT As Integer, _
    ByRef NUMIT As Integer, _
    ByRef IFAIL As Integer _
   )


  Delegate Sub D03EEF_PDEF_DELEGATE( _
    ByRef X As Double, _
    ByRef Y As Double, _
    ByRef ALPHA As Double, _
    ByRef BETA As Double, _
    ByRef GAMMA As Double, _
    ByRef DELTA As Double, _
    ByRef EPSLON As Double, _
    ByRef PHI As Double, _
    ByRef PSI As Double _
  )

  Delegate Sub D03EEF_BNDY_DELEGATE( _
    ByRef X As Double, _
    ByRef Y As Double, _
    ByRef A As Double, _
    ByRef B As Double, _
    ByRef C As Double, _
    ByRef IBND As Integer _
  )

   Declare Sub D03EEF Lib "FLDLL224M_nag.dll" ( _
    ByRef XMIN As Double, _
    ByRef XMAX As Double, _
    ByRef YMIN As Double, _
    ByRef YMAX As Double, _
    ByVal PDEF As D03EEF_PDEF_DELEGATE, _
    ByVal BNDY As D03EEF_BNDY_DELEGATE, _
    ByRef NGX As Integer, _
    ByRef NGY As Integer, _
    ByRef LDA As Integer, _
    ByRef A As Double, _
    ByRef RHS As Double, _
    ByVal SCHEME As string, ByVal SCHEMELength As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub D03FAF Lib "FLDLL224M_nag.dll" ( _
    ByRef XS As Double, ByRef XF As Double, ByRef L As Integer, _
    ByRef LBDCND As Integer, ByRef BDXS As Double, ByRef BDXF As Double, _
    ByRef YS As Double, ByRef YF As Double, ByRef M As Integer, _
    ByRef MBDCND As Integer, ByRef BDYS As Double, ByRef BDYF As Double, _
    ByRef ZS As Double, ByRef ZF As Double, ByRef N As Integer, _
    ByRef NBDCND As Integer, ByRef BDZS As Double, ByRef BDZF As Double, _
    ByRef LAMBDA As Double, ByRef LDF As Integer, ByRef LDF2 As Integer, _
    ByRef F As Double, ByRef PERTRB As Double, ByRef W As Double, _
    ByRef LWRK As Integer, ByRef IFAIL As Integer _
   )


  Delegate Function D03MAF_ISIN_DELEGATE( _
    ByRef X As Double, _
    ByRef Y As Double _
  ) as Integer

   Declare Sub D03MAF Lib "FLDLL224M_nag.dll" ( _
    ByRef H As Double, _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef NB As Integer, _
    ByRef NPTS As Integer, _
    ByRef PLACES As Double, _
    ByRef INDX As Integer, _
    ByRef SDINDX As Integer, _
    ByVal ISIN As D03MAF_ISIN_DELEGATE, _
    ByRef DIST As Double, _
    ByRef SDDIST As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub D03NCF Lib "FLDLL224M_nag.dll" ( _
    ByRef KOPT As Integer, ByRef X As Double, ByVal MESH As string, ByVal MESHLength As Integer, _
    ByRef NS As Integer, ByRef S As Double, ByRef NT As Integer, _
    ByRef T As Double, ByRef TDPAR As Integer, ByRef R As Double, _
    ByRef Q As Double, ByRef SIGMA As Double, ByRef ALPHA As Double, _
    ByRef NTKEEP As Integer, ByRef F As Double, ByRef THETA As Double, _
    ByRef DELTA As Double, ByRef GAMMA As Double, ByRef LAMBDA As Double, _
    ByRef RHO As Double, ByRef LDF As Integer, ByRef WORK As Double, _
    ByRef IWORK As Integer, ByRef IFAIL As Integer _
   )


   Declare Sub D03NDF Lib "FLDLL224M_nag.dll" ( _
    ByRef KOPT As Integer, _
    ByRef X As Double, _
    ByRef S As Double, _
    ByRef T As Double, _
    ByRef TMAT As Double, _
    ByRef TDPAR As Integer, _
    ByRef R As Double, _
    ByRef Q As Double, _
    ByRef SIGMA As Double, _
    ByRef F As Double, _
    ByRef THETA As Double, _
    ByRef DELTA As Double, _
    ByRef GAMMA As Double, _
    ByRef LAMBDA As Double, _
    ByRef RHO As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub D03NEF Lib "FLDLL224M_nag.dll" ( _
    ByRef T0 As Double, _
    ByRef TMAT As Double, _
    ByRef NTD As Integer, _
    ByRef TD As Double, _
    ByRef PHID As Double, _
    ByRef PHIAV As Double, _
    ByRef WORK As Double, _
    ByRef LWORK As Integer, _
    ByRef IFAIL As Integer _
   )


  Delegate Sub D03PCA_PDEDEF_DELEGATE( _
    ByRef NPDE As Integer, _
    ByRef T As Double, _
    ByRef X As Double, _
    ByVal U_rptr As IntPtr, _
    ByVal UX_rptr As IntPtr, _
    ByVal P_rptr As IntPtr, _
    ByVal Q_rptr As IntPtr, _
    ByVal R_rptr As IntPtr, _
    ByRef IRES As Integer, _
    ByVal IUSER_iptr As IntPtr, _
    ByVal RUSER_rptr As IntPtr _
  )

  Delegate Sub D03PCA_BNDARY_DELEGATE( _
    ByRef NPDE As Integer, _
    ByRef T As Double, _
    ByVal U_rptr As IntPtr, _
    ByVal UX_rptr As IntPtr, _
    ByRef IBND As Integer, _
    ByVal BETA_rptr As IntPtr, _
    ByVal GAMMA_rptr As IntPtr, _
    ByRef IRES As Integer, _
    ByVal IUSER_iptr As IntPtr, _
    ByVal RUSER_rptr As IntPtr _
  )

   Declare Sub D03PCA Lib "FLDLL224M_nag.dll" ( _
    ByRef NPDE As Integer, ByRef M As Integer, ByRef TS As Double, _
    ByRef TOUT As Double, ByVal PDEDEF As D03PCF_PDEDEF_DELEGATE, ByVal BNDARY As D03PCF_BNDARY_DELEGATE, _
    ByRef U As Double, ByRef NPTS As Integer, ByRef X As Double, _
    ByRef ACC As Double, ByRef RSAVE As Double, ByRef LRSAVE As Integer, _
    ByRef ISAVE As Integer, ByRef LISAVE As Integer, ByRef ITASK As Integer, _
    ByRef ITRACE As Integer, ByRef IND As Integer, ByRef IUSER As Integer, _
    ByRef RUSER As Double, ByVal CWSAV As string, ByVal CWSAVLength As Integer, ByRef LWSAV As Integer, _
    ByRef IWSAV As Integer, ByRef RWSAV As Double, ByRef IFAIL As Integer _
   )

  Delegate Sub D03PCF_PDEDEF_DELEGATE( _
    ByRef NPDE As Integer, _
    ByRef T As Double, _
    ByRef X As Double, _
    ByVal U_rptr As IntPtr, _
    ByVal UX_rptr As IntPtr, _
    ByVal P_rptr As IntPtr, _
    ByVal Q_rptr As IntPtr, _
    ByVal R_rptr As IntPtr, _
    ByRef IRES As Integer _
  )

  Delegate Sub D03PCF_BNDARY_DELEGATE( _
    ByRef NPDE As Integer, _
    ByRef T As Double, _
    ByVal U_rptr As IntPtr, _
    ByVal UX_rptr As IntPtr, _
    ByRef IBND As Integer, _
    ByVal BETA_rptr As IntPtr, _
    ByVal GAMMA_rptr As IntPtr, _
    ByRef IRES As Integer _
  )

   Declare Sub D03PCF Lib "FLDLL224M_nag.dll" ( _
    ByRef NPDE As Integer, _
    ByRef M As Integer, _
    ByRef TS As Double, _
    ByRef TOUT As Double, _
    ByVal PDEDEF As D03PCF_PDEDEF_DELEGATE, _
    ByVal BNDARY As D03PCF_BNDARY_DELEGATE, _
    ByRef U As Double, _
    ByRef NPTS As Integer, _
    ByRef X As Double, _
    ByRef ACC As Double, _
    ByRef RSAVE As Double, _
    ByRef LRSAVE As Integer, _
    ByRef ISAVE As Integer, _
    ByRef LISAVE As Integer, _
    ByRef ITASK As Integer, _
    ByRef ITRACE As Integer, _
    ByRef IND As Integer, _
    ByRef IFAIL As Integer _
   )


  Delegate Sub D03PDA_PDEDEF_DELEGATE( _
    ByRef NPDE As Integer, _
    ByRef T As Double, _
    ByVal X_rptr As IntPtr, _
    ByRef NPTL As Integer, _
    ByVal U_rptr As IntPtr, _
    ByVal UX_rptr As IntPtr, _
    ByVal P_rptr As IntPtr, _
    ByVal Q_rptr As IntPtr, _
    ByVal R_rptr As IntPtr, _
    ByRef IRES As Integer, _
    ByVal IUSER_iptr As IntPtr, _
    ByVal RUSER_rptr As IntPtr _
  )

  Delegate Sub D03PDA_BNDARY_DELEGATE( _
    ByRef NPDE As Integer, _
    ByRef T As Double, _
    ByVal U_rptr As IntPtr, _
    ByVal UX_rptr As IntPtr, _
    ByRef IBND As Integer, _
    ByVal BETA_rptr As IntPtr, _
    ByVal GAMMA_rptr As IntPtr, _
    ByRef IRES As Integer, _
    ByVal IUSER_iptr As IntPtr, _
    ByVal RUSER_rptr As IntPtr _
  )

  Delegate Sub D03PDA_UINIT_DELEGATE( _
    ByRef NPDE As Integer, _
    ByRef NPTS As Integer, _
    ByVal X_rptr As IntPtr, _
    ByVal U_rptr As IntPtr, _
    ByVal IUSER_iptr As IntPtr, _
    ByVal RUSER_rptr As IntPtr _
  )

   Declare Sub D03PDA Lib "FLDLL224M_nag.dll" ( _
    ByRef NPDE As Integer, ByRef M As Integer, ByRef TS As Double, _
    ByRef TOUT As Double, ByVal PDEDEF As D03PDF_PDEDEF_DELEGATE, ByVal BNDARY As D03PDF_BNDARY_DELEGATE, _
    ByRef U As Double, ByRef NBKPTS As Integer, ByRef XBKPTS As Double, _
    ByRef NPOLY As Integer, ByRef NPTS As Integer, ByRef X As Double, _
    ByVal UINIT As D03PDF_UINIT_DELEGATE, ByRef ACC As Double, ByRef RSAVE As Double, _
    ByRef LRSAVE As Integer, ByRef ISAVE As Integer, ByRef LISAVE As Integer, _
    ByRef ITASK As Integer, ByRef ITRACE As Integer, ByRef IND As Integer, _
    ByRef IUSER As Integer, ByRef RUSER As Double, ByVal CWSAV As string, ByVal CWSAVLength As Integer, _
    ByRef LWSAV As Integer, ByRef IWSAV As Integer, ByRef RWSAV As Double, _
    ByRef IFAIL As Integer _
   )

  Delegate Sub D03PDF_PDEDEF_DELEGATE( _
    ByRef NPDE As Integer, _
    ByRef T As Double, _
    ByVal X_rptr As IntPtr, _
    ByRef NPTL As Integer, _
    ByVal U_rptr As IntPtr, _
    ByVal UX_rptr As IntPtr, _
    ByVal P_rptr As IntPtr, _
    ByVal Q_rptr As IntPtr, _
    ByVal R_rptr As IntPtr, _
    ByRef IRES As Integer _
  )

  Delegate Sub D03PDF_BNDARY_DELEGATE( _
    ByRef NPDE As Integer, _
    ByRef T As Double, _
    ByVal U_rptr As IntPtr, _
    ByVal UX_rptr As IntPtr, _
    ByRef IBND As Integer, _
    ByVal BETA_rptr As IntPtr, _
    ByVal GAMMA_rptr As IntPtr, _
    ByRef IRES As Integer _
  )

  Delegate Sub D03PDF_UINIT_DELEGATE( _
    ByRef NPDE As Integer, _
    ByRef NPTS As Integer, _
    ByVal X_rptr As IntPtr, _
    ByVal U_rptr As IntPtr _
  )

   Declare Sub D03PDF Lib "FLDLL224M_nag.dll" ( _
    ByRef NPDE As Integer, ByRef M As Integer, ByRef TS As Double, _
    ByRef TOUT As Double, ByVal PDEDEF As D03PDF_PDEDEF_DELEGATE, ByVal BNDARY As D03PDF_BNDARY_DELEGATE, _
    ByRef U As Double, ByRef NBKPTS As Integer, ByRef XBKPTS As Double, _
    ByRef NPOLY As Integer, ByRef NPTS As Integer, ByRef X As Double, _
    ByVal UINIT As D03PDF_UINIT_DELEGATE, ByRef ACC As Double, ByRef RSAVE As Double, _
    ByRef LRSAVE As Integer, ByRef ISAVE As Integer, ByRef LISAVE As Integer, _
    ByRef ITASK As Integer, ByRef ITRACE As Integer, ByRef IND As Integer, _
    ByRef IFAIL As Integer _
   )


  Delegate Sub D03PEF_PDEDEF_DELEGATE( _
    ByRef NPDE As Integer, _
    ByRef T As Double, _
    ByRef X As Double, _
    ByVal U_rptr As IntPtr, _
    ByVal UT_rptr As IntPtr, _
    ByVal UX_rptr As IntPtr, _
    ByVal RES_rptr As IntPtr, _
    ByRef IRES As Integer _
  )

  Delegate Sub D03PEF_BNDARY_DELEGATE( _
    ByRef NPDE As Integer, _
    ByRef T As Double, _
    ByRef IBND As Integer, _
    ByRef NOBC As Integer, _
    ByVal U_rptr As IntPtr, _
    ByVal UT_rptr As IntPtr, _
    ByVal RES_rptr As IntPtr, _
    ByRef IRES As Integer _
  )

   Declare Sub D03PEF Lib "FLDLL224M_nag.dll" ( _
    ByRef NPDE As Integer, _
    ByRef TS As Double, _
    ByRef TOUT As Double, _
    ByVal PDEDEF As D03PEF_PDEDEF_DELEGATE, _
    ByVal BNDARY As D03PEF_BNDARY_DELEGATE, _
    ByRef U As Double, _
    ByRef NPTS As Integer, _
    ByRef X As Double, _
    ByRef NLEFT As Integer, _
    ByRef ACC As Double, _
    ByRef RSAVE As Double, _
    ByRef LRSAVE As Integer, _
    ByRef ISAVE As Integer, _
    ByRef LISAVE As Integer, _
    ByRef ITASK As Integer, _
    ByRef ITRACE As Integer, _
    ByRef IND As Integer, _
    ByRef IFAIL As Integer _
   )


  Delegate Sub D03PFF_PDEDEF_DELEGATE( _
    ByRef NPDE As Integer, _
    ByRef T As Double, _
    ByRef X As Double, _
    ByVal U_rptr As IntPtr, _
    ByVal UX_rptr As IntPtr, _
    ByVal P_rptr As IntPtr, _
    ByVal C_rptr As IntPtr, _
    ByVal D_rptr As IntPtr, _
    ByVal S_rptr As IntPtr, _
    ByRef IRES As Integer _
  )

   Declare Sub D03PFP Lib "FLDLL224M_nag.dll" ( _
    ByRef NPDE As Integer, _
    ByRef T As Double, _
    ByRef X As Double, _
    ByVal U_rptr As IntPtr, _
    ByVal UX_rptr As IntPtr, _
    ByVal P_rptr As IntPtr, _
    ByVal C_rptr As IntPtr, _
    ByVal D_rptr As IntPtr, _
    ByVal S_rptr As IntPtr, _
    ByRef IRES As Integer _
  )

  Delegate Sub D03PFF_NUMFLX_DELEGATE( _
    ByRef NPDE As Integer, _
    ByRef T As Double, _
    ByRef X As Double, _
    ByVal ULEFT_rptr As IntPtr, _
    ByVal URIGHT_rptr As IntPtr, _
    ByVal FLUX_rptr As IntPtr, _
    ByRef IRES As Integer _
  )

  Delegate Sub D03PFF_BNDARY_DELEGATE( _
    ByRef NPDE As Integer, _
    ByRef NPTS As Integer, _
    ByRef T As Double, _
    ByVal X_rptr As IntPtr, _
    ByVal U_rptr As IntPtr, _
    ByRef IBND As Integer, _
    ByVal G_rptr As IntPtr, _
    ByRef IRES As Integer _
  )

   Declare Sub D03PFF Lib "FLDLL224M_nag.dll" ( _
    ByRef NPDE As Integer, _
    ByRef TS As Double, _
    ByRef TOUT As Double, _
    ByVal PDEDEF As D03PFF_PDEDEF_DELEGATE, _
    ByVal NUMFLX As D03PFF_NUMFLX_DELEGATE, _
    ByVal BNDARY As D03PFF_BNDARY_DELEGATE, _
    ByRef U As Double, _
    ByRef NPTS As Integer, _
    ByRef X As Double, _
    ByRef ACC As Double, _
    ByRef TSMAX As Double, _
    ByRef RSAVE As Double, _
    ByRef LRSAVE As Integer, _
    ByRef ISAVE As Integer, _
    ByRef LISAVE As Integer, _
    ByRef ITASK As Integer, _
    ByRef ITRACE As Integer, _
    ByRef IND As Integer, _
    ByRef IFAIL As Integer _
   )


  Delegate Sub D03PHA_PDEDEF_DELEGATE( _
    ByRef NPDE As Integer, _
    ByRef T As Double, _
    ByRef X As Double, _
    ByVal U_rptr As IntPtr, _
    ByVal UX_rptr As IntPtr, _
    ByRef NCODE As Integer, _
    ByVal V_rptr As IntPtr, _
    ByVal VDOT_rptr As IntPtr, _
    ByVal P_rptr As IntPtr, _
    ByVal Q_rptr As IntPtr, _
    ByVal R_rptr As IntPtr, _
    ByRef IRES As Integer, _
    ByVal IUSER_iptr As IntPtr, _
    ByVal RUSER_rptr As IntPtr _
  )

  Delegate Sub D03PHA_BNDARY_DELEGATE( _
    ByRef NPDE As Integer, _
    ByRef T As Double, _
    ByVal U_rptr As IntPtr, _
    ByVal UX_rptr As IntPtr, _
    ByRef NCODE As Integer, _
    ByVal V_rptr As IntPtr, _
    ByVal VDOT_rptr As IntPtr, _
    ByRef IBND As Integer, _
    ByVal BETA_rptr As IntPtr, _
    ByVal GAMMA_rptr As IntPtr, _
    ByRef IRES As Integer, _
    ByVal IUSER_iptr As IntPtr, _
    ByVal RUSER_rptr As IntPtr _
  )

  Delegate Sub D03PHA_ODEDEF_DELEGATE( _
    ByRef NPDE As Integer, _
    ByRef T As Double, _
    ByRef NCODE As Integer, _
    ByVal V_rptr As IntPtr, _
    ByVal VDOT_rptr As IntPtr, _
    ByRef NXI As Integer, _
    ByVal XI_rptr As IntPtr, _
    ByVal UCP_rptr As IntPtr, _
    ByVal UCPX_rptr As IntPtr, _
    ByVal RCP_rptr As IntPtr, _
    ByVal UCPT_rptr As IntPtr, _
    ByVal UCPTX_rptr As IntPtr, _
    ByVal F_rptr As IntPtr, _
    ByRef IRES As Integer, _
    ByVal IUSER_iptr As IntPtr, _
    ByVal RUSER_rptr As IntPtr _
  )

   Declare Sub D53PCK Lib "FLDLL224M_nag.dll" ( _
    ByRef NPDE As Integer, _
    ByRef T As Double, _
    ByRef NCODE As Integer, _
    ByVal V_rptr As IntPtr, _
    ByVal VDOT_rptr As IntPtr, _
    ByRef NXI As Integer, _
    ByVal XI_rptr As IntPtr, _
    ByVal UCP_rptr As IntPtr, _
    ByVal UCPX_rptr As IntPtr, _
    ByVal RCP_rptr As IntPtr, _
    ByVal UCPT_rptr As IntPtr, _
    ByVal UCPTX_rptr As IntPtr, _
    ByVal F_rptr As IntPtr, _
    ByRef IRES As Integer, _
    ByVal IUSER_iptr As IntPtr, _
    ByVal RUSER_rptr As IntPtr _
  )

   Declare Sub D03PHA Lib "FLDLL224M_nag.dll" ( _
    ByRef NPDE As Integer, ByRef M As Integer, ByRef TS As Double, _
    ByRef TOUT As Double, ByVal PDEDEF As D03PHF_PDEDEF_DELEGATE, ByVal BNDARY As D03PHF_BNDARY_DELEGATE, _
    ByRef U As Double, ByRef NPTS As Integer, ByRef X As Double, _
    ByRef NCODE As Integer, ByVal ODEDEF As D03PHF_ODEDEF_DELEGATE, ByRef NXI As Integer, _
    ByRef XI As Double, ByRef NEQN As Integer, ByRef RTOL As Double, _
    ByRef ATOL As Double, ByRef ITOL As Integer, ByVal NORM As string, ByVal NORMLength As Integer, _
    ByVal LAOPT As string, ByVal LAOPTLength As Integer, ByRef ALGOPT As Double, ByRef RSAVE As Double, _
    ByRef LRSAVE As Integer, ByRef ISAVE As Integer, ByRef LISAVE As Integer, _
    ByRef ITASK As Integer, ByRef ITRACE As Integer, ByRef IND As Integer, _
    ByRef IUSER As Integer, ByRef RUSER As Double, ByVal CWSAV As string, ByVal CWSAVLength As Integer, _
    ByRef LWSAV As Integer, ByRef IWSAV As Integer, ByRef RWSAV As Double, _
    ByRef IFAIL As Integer _
   )

  Delegate Sub D03PHF_PDEDEF_DELEGATE( _
    ByRef NPDE As Integer, _
    ByRef T As Double, _
    ByRef X As Double, _
    ByVal U_rptr As IntPtr, _
    ByVal UX_rptr As IntPtr, _
    ByRef NCODE As Integer, _
    ByVal V_rptr As IntPtr, _
    ByVal VDOT_rptr As IntPtr, _
    ByVal P_rptr As IntPtr, _
    ByVal Q_rptr As IntPtr, _
    ByVal R_rptr As IntPtr, _
    ByRef IRES As Integer _
  )

  Delegate Sub D03PHF_BNDARY_DELEGATE( _
    ByRef NPDE As Integer, _
    ByRef T As Double, _
    ByVal U_rptr As IntPtr, _
    ByVal UX_rptr As IntPtr, _
    ByRef NCODE As Integer, _
    ByVal V_rptr As IntPtr, _
    ByVal VDOT_rptr As IntPtr, _
    ByRef IBND As Integer, _
    ByVal BETA_rptr As IntPtr, _
    ByVal GAMMA_rptr As IntPtr, _
    ByRef IRES As Integer _
  )

  Delegate Sub D03PHF_ODEDEF_DELEGATE( _
    ByRef NPDE As Integer, _
    ByRef T As Double, _
    ByRef NCODE As Integer, _
    ByVal V_rptr As IntPtr, _
    ByVal VDOT_rptr As IntPtr, _
    ByRef NXI As Integer, _
    ByVal XI_rptr As IntPtr, _
    ByVal UCP_rptr As IntPtr, _
    ByVal UCPX_rptr As IntPtr, _
    ByVal RCP_rptr As IntPtr, _
    ByVal UCPT_rptr As IntPtr, _
    ByVal UCPTX_rptr As IntPtr, _
    ByVal F_rptr As IntPtr, _
    ByRef IRES As Integer _
  )

   Declare Sub D03PCK Lib "FLDLL224M_nag.dll" ( _
    ByRef NPDE As Integer, _
    ByRef T As Double, _
    ByRef NCODE As Integer, _
    ByVal V_rptr As IntPtr, _
    ByVal VDOT_rptr As IntPtr, _
    ByRef NXI As Integer, _
    ByVal XI_rptr As IntPtr, _
    ByVal UCP_rptr As IntPtr, _
    ByVal UCPX_rptr As IntPtr, _
    ByVal RCP_rptr As IntPtr, _
    ByVal UCPT_rptr As IntPtr, _
    ByVal UCPTX_rptr As IntPtr, _
    ByVal F_rptr As IntPtr, _
    ByRef IRES As Integer _
  )

   Declare Sub D03PHF Lib "FLDLL224M_nag.dll" ( _
    ByRef NPDE As Integer, ByRef M As Integer, ByRef TS As Double, _
    ByRef TOUT As Double, ByVal PDEDEF As D03PHF_PDEDEF_DELEGATE, ByVal BNDARY As D03PHF_BNDARY_DELEGATE, _
    ByRef U As Double, ByRef NPTS As Integer, ByRef X As Double, _
    ByRef NCODE As Integer, ByVal ODEDEF As D03PHF_ODEDEF_DELEGATE, ByRef NXI As Integer, _
    ByRef XI As Double, ByRef NEQN As Integer, ByRef RTOL As Double, _
    ByRef ATOL As Double, ByRef ITOL As Integer, ByVal NORM As string, ByVal NORMLength As Integer, _
    ByVal LAOPT As string, ByVal LAOPTLength As Integer, ByRef ALGOPT As Double, ByRef RSAVE As Double, _
    ByRef LRSAVE As Integer, ByRef ISAVE As Integer, ByRef LISAVE As Integer, _
    ByRef ITASK As Integer, ByRef ITRACE As Integer, ByRef IND As Integer, _
    ByRef IFAIL As Integer _
   )


  Delegate Sub D03PJA_PDEDEF_DELEGATE( _
    ByRef NPDE As Integer, _
    ByRef T As Double, _
    ByVal X_rptr As IntPtr, _
    ByRef NPTL As Integer, _
    ByVal U_rptr As IntPtr, _
    ByVal UX_rptr As IntPtr, _
    ByRef NCODE As Integer, _
    ByVal V_rptr As IntPtr, _
    ByVal VDOT_rptr As IntPtr, _
    ByVal P_rptr As IntPtr, _
    ByVal Q_rptr As IntPtr, _
    ByVal R_rptr As IntPtr, _
    ByRef IRES As Integer, _
    ByVal IUSER_iptr As IntPtr, _
    ByVal RUSER_rptr As IntPtr _
  )

  Delegate Sub D03PJA_BNDARY_DELEGATE( _
    ByRef NPDE As Integer, _
    ByRef T As Double, _
    ByVal U_rptr As IntPtr, _
    ByVal UX_rptr As IntPtr, _
    ByRef NCODE As Integer, _
    ByVal V_rptr As IntPtr, _
    ByVal VDOT_rptr As IntPtr, _
    ByRef IBND As Integer, _
    ByVal BETA_rptr As IntPtr, _
    ByVal GAMMA_rptr As IntPtr, _
    ByRef IRES As Integer, _
    ByVal IUSER_iptr As IntPtr, _
    ByVal RUSER_rptr As IntPtr _
  )

  Delegate Sub D03PJA_ODEDEF_DELEGATE( _
    ByRef NPDE As Integer, _
    ByRef T As Double, _
    ByRef NCODE As Integer, _
    ByVal V_rptr As IntPtr, _
    ByVal VDOT_rptr As IntPtr, _
    ByRef NXI As Integer, _
    ByVal XI_rptr As IntPtr, _
    ByVal UCP_rptr As IntPtr, _
    ByVal UCPX_rptr As IntPtr, _
    ByVal RCP_rptr As IntPtr, _
    ByVal UCPT_rptr As IntPtr, _
    ByVal UCPTX_rptr As IntPtr, _
    ByVal F_rptr As IntPtr, _
    ByRef IRES As Integer, _
    ByVal IUSER_iptr As IntPtr, _
    ByVal RUSER_rptr As IntPtr _
  )


  Delegate Sub D03PJA_UVINIT_DELEGATE( _
    ByRef NPDE As Integer, _
    ByRef NPTS As Integer, _
    ByVal X_rptr As IntPtr, _
    ByVal U_rptr As IntPtr, _
    ByRef NCODE As Integer, _
    ByVal V_rptr As IntPtr, _
    ByVal IUSER_iptr As IntPtr, _
    ByVal RUSER_rptr As IntPtr _
  )

   Declare Sub D03PJA Lib "FLDLL224M_nag.dll" ( _
    ByRef NPDE As Integer, ByRef M As Integer, ByRef TS As Double, _
    ByRef TOUT As Double, ByVal PDEDEF As D03PJF_PDEDEF_DELEGATE, ByVal BNDARY As D03PJF_BNDARY_DELEGATE, _
    ByRef U As Double, ByRef NBKPTS As Integer, ByRef XBKPTS As Double, _
    ByRef NPOLY As Integer, ByRef NPTS As Integer, ByRef X As Double, _
    ByRef NCODE As Integer, ByVal ODEDEF As D03PJF_ODEDEF_DELEGATE, ByRef NXI As Integer, _
    ByRef XI As Double, ByRef NEQN As Integer, ByVal UVINIT As D03PJF_UVINIT_DELEGATE, _
    ByRef RTOL As Double, ByRef ATOL As Double, ByRef ITOL As Integer, _
    ByVal NORM As string, ByVal NORMLength As Integer, ByVal LAOPT As string, ByVal LAOPTLength As Integer, ByRef ALGOPT As Double, _
    ByRef RSAVE As Double, ByRef LRSAVE As Integer, ByRef ISAVE As Integer, _
    ByRef LISAVE As Integer, ByRef ITASK As Integer, ByRef ITRACE As Integer, _
    ByRef IND As Integer, ByRef IUSER As Integer, ByRef RUSER As Double, _
    ByVal CWSAV As string, ByVal CWSAVLength As Integer, ByRef LWSAV As Integer, ByRef IWSAV As Integer, _
    ByRef RWSAV As Double, ByRef IFAIL As Integer _
   )

  Delegate Sub D03PJF_PDEDEF_DELEGATE( _
    ByRef NPDE As Integer, _
    ByRef T As Double, _
    ByVal X_rptr As IntPtr, _
    ByRef NPTL As Integer, _
    ByVal U_rptr As IntPtr, _
    ByVal UX_rptr As IntPtr, _
    ByRef NCODE As Integer, _
    ByVal V_rptr As IntPtr, _
    ByVal VDOT_rptr As IntPtr, _
    ByVal P_rptr As IntPtr, _
    ByVal Q_rptr As IntPtr, _
    ByVal R_rptr As IntPtr, _
    ByRef IRES As Integer _
  )

  Delegate Sub D03PJF_BNDARY_DELEGATE( _
    ByRef NPDE As Integer, _
    ByRef T As Double, _
    ByVal U_rptr As IntPtr, _
    ByVal UX_rptr As IntPtr, _
    ByRef NCODE As Integer, _
    ByVal V_rptr As IntPtr, _
    ByVal VDOT_rptr As IntPtr, _
    ByRef IBND As Integer, _
    ByVal BETA_rptr As IntPtr, _
    ByVal GAMMA_rptr As IntPtr, _
    ByRef IRES As Integer _
  )

  Delegate Sub D03PJF_ODEDEF_DELEGATE( _
    ByRef NPDE As Integer, _
    ByRef T As Double, _
    ByRef NCODE As Integer, _
    ByVal V_rptr As IntPtr, _
    ByVal VDOT_rptr As IntPtr, _
    ByRef NXI As Integer, _
    ByVal XI_rptr As IntPtr, _
    ByVal UCP_rptr As IntPtr, _
    ByVal UCPX_rptr As IntPtr, _
    ByVal RCP_rptr As IntPtr, _
    ByVal UCPT_rptr As IntPtr, _
    ByVal UCPTX_rptr As IntPtr, _
    ByVal F_rptr As IntPtr, _
    ByRef IRES As Integer _
  )


  Delegate Sub D03PJF_UVINIT_DELEGATE( _
    ByRef NPDE As Integer, _
    ByRef NPTS As Integer, _
    ByVal X_rptr As IntPtr, _
    ByVal U_rptr As IntPtr, _
    ByRef NCODE As Integer, _
    ByVal V_rptr As IntPtr _
  )

   Declare Sub D03PJF Lib "FLDLL224M_nag.dll" ( _
    ByRef NPDE As Integer, ByRef M As Integer, ByRef TS As Double, _
    ByRef TOUT As Double, ByVal PDEDEF As D03PJF_PDEDEF_DELEGATE, ByVal BNDARY As D03PJF_BNDARY_DELEGATE, _
    ByRef U As Double, ByRef NBKPTS As Integer, ByRef XBKPTS As Double, _
    ByRef NPOLY As Integer, ByRef NPTS As Integer, ByRef X As Double, _
    ByRef NCODE As Integer, ByVal ODEDEF As D03PJF_ODEDEF_DELEGATE, ByRef NXI As Integer, _
    ByRef XI As Double, ByRef NEQN As Integer, ByVal UVINIT As D03PJF_UVINIT_DELEGATE, _
    ByRef RTOL As Double, ByRef ATOL As Double, ByRef ITOL As Integer, _
    ByVal NORM As string, ByVal NORMLength As Integer, ByVal LAOPT As string, ByVal LAOPTLength As Integer, ByRef ALGOPT As Double, _
    ByRef RSAVE As Double, ByRef LRSAVE As Integer, ByRef ISAVE As Integer, _
    ByRef LISAVE As Integer, ByRef ITASK As Integer, ByRef ITRACE As Integer, _
    ByRef IND As Integer, ByRef IFAIL As Integer _
   )


  Delegate Sub D03PKF_PDEDEF_DELEGATE( _
    ByRef NPDE As Integer, _
    ByRef T As Double, _
    ByRef X As Double, _
    ByVal U_rptr As IntPtr, _
    ByVal UT_rptr As IntPtr, _
    ByVal UX_rptr As IntPtr, _
    ByRef NCODE As Integer, _
    ByVal V_rptr As IntPtr, _
    ByVal VDOT_rptr As IntPtr, _
    ByVal RES_rptr As IntPtr, _
    ByRef IRES As Integer _
  )

  Delegate Sub D03PKF_BNDARY_DELEGATE( _
    ByRef NPDE As Integer, _
    ByRef T As Double, _
    ByRef IBND As Integer, _
    ByRef NOBC As Integer, _
    ByVal U_rptr As IntPtr, _
    ByVal UT_rptr As IntPtr, _
    ByRef NCODE As Integer, _
    ByVal V_rptr As IntPtr, _
    ByVal VDOT_rptr As IntPtr, _
    ByVal RES_rptr As IntPtr, _
    ByRef IRES As Integer _
  )

  Delegate Sub D03PKF_ODEDEF_DELEGATE( _
    ByRef NPDE As Integer, _
    ByRef T As Double, _
    ByRef NCODE As Integer, _
    ByVal V_rptr As IntPtr, _
    ByVal VDOT_rptr As IntPtr, _
    ByRef NXI As Integer, _
    ByVal XI_rptr As IntPtr, _
    ByVal UCP_rptr As IntPtr, _
    ByVal UCPX_rptr As IntPtr, _
    ByVal UCPT_rptr As IntPtr, _
    ByVal F_rptr As IntPtr, _
    ByRef IRES As Integer _
  )

   Declare Sub D03PEK Lib "FLDLL224M_nag.dll" ( _
    ByRef NPDE As Integer, _
    ByRef T As Double, _
    ByRef NCODE As Integer, _
    ByVal V_rptr As IntPtr, _
    ByVal VDOT_rptr As IntPtr, _
    ByRef NXI As Integer, _
    ByVal XI_rptr As IntPtr, _
    ByVal UCP_rptr As IntPtr, _
    ByVal UCPX_rptr As IntPtr, _
    ByVal UCPT_rptr As IntPtr, _
    ByVal F_rptr As IntPtr, _
    ByRef IRES As Integer _
  )

   Declare Sub D03PKF Lib "FLDLL224M_nag.dll" ( _
    ByRef NPDE As Integer, ByRef TS As Double, ByRef TOUT As Double, _
    ByVal PDEDEF As D03PKF_PDEDEF_DELEGATE, ByVal BNDARY As D03PKF_BNDARY_DELEGATE, ByRef U As Double, _
    ByRef NPTS As Integer, ByRef X As Double, ByRef NLEFT As Integer, _
    ByRef NCODE As Integer, ByVal ODEDEF As D03PKF_ODEDEF_DELEGATE, ByRef NXI As Integer, _
    ByRef XI As Double, ByRef NEQN As Integer, ByRef RTOL As Double, _
    ByRef ATOL As Double, ByRef ITOL As Integer, ByVal NORM As string, ByVal NORMLength As Integer, _
    ByVal LAOPT As string, ByVal LAOPTLength As Integer, ByRef ALGOPT As Double, ByRef RSAVE As Double, _
    ByRef LRSAVE As Integer, ByRef ISAVE As Integer, ByRef LISAVE As Integer, _
    ByRef ITASK As Integer, ByRef ITRACE As Integer, ByRef IND As Integer, _
    ByRef IFAIL As Integer _
   )


  Delegate Sub D03PLF_PDEDEF_DELEGATE( _
    ByRef NPDE As Integer, _
    ByRef T As Double, _
    ByRef X As Double, _
    ByVal U_rptr As IntPtr, _
    ByVal UX_rptr As IntPtr, _
    ByRef NCODE As Integer, _
    ByVal V_rptr As IntPtr, _
    ByVal VDOT_rptr As IntPtr, _
    ByVal P_rptr As IntPtr, _
    ByVal C_rptr As IntPtr, _
    ByVal D_rptr As IntPtr, _
    ByVal S_rptr As IntPtr, _
    ByRef IRES As Integer _
  )

   Declare Sub D03PLP Lib "FLDLL224M_nag.dll" ( _
    ByRef NPDE As Integer, _
    ByRef T As Double, _
    ByRef X As Double, _
    ByVal U_rptr As IntPtr, _
    ByVal UX_rptr As IntPtr, _
    ByRef NCODE As Integer, _
    ByVal V_rptr As IntPtr, _
    ByVal VDOT_rptr As IntPtr, _
    ByVal P_rptr As IntPtr, _
    ByVal C_rptr As IntPtr, _
    ByVal D_rptr As IntPtr, _
    ByVal S_rptr As IntPtr, _
    ByRef IRES As Integer _
  )

  Delegate Sub D03PLF_NUMFLX_DELEGATE( _
    ByRef NPDE As Integer, _
    ByRef T As Double, _
    ByRef X As Double, _
    ByRef NCODE As Integer, _
    ByVal V_rptr As IntPtr, _
    ByVal ULEFT_rptr As IntPtr, _
    ByVal URIGHT_rptr As IntPtr, _
    ByVal FLUX_rptr As IntPtr, _
    ByRef IRES As Integer _
  )

  Delegate Sub D03PLF_BNDARY_DELEGATE( _
    ByRef NPDE As Integer, _
    ByRef NPTS As Integer, _
    ByRef T As Double, _
    ByVal X_rptr As IntPtr, _
    ByVal U_rptr As IntPtr, _
    ByRef NCODE As Integer, _
    ByVal V_rptr As IntPtr, _
    ByVal VDOT_rptr As IntPtr, _
    ByRef IBND As Integer, _
    ByVal G_rptr As IntPtr, _
    ByRef IRES As Integer _
  )

  Delegate Sub D03PLF_ODEDEF_DELEGATE( _
    ByRef NPDE As Integer, _
    ByRef T As Double, _
    ByRef NCODE As Integer, _
    ByVal V_rptr As IntPtr, _
    ByVal VDOT_rptr As IntPtr, _
    ByRef NXI As Integer, _
    ByVal XI_rptr As IntPtr, _
    ByVal UCP_rptr As IntPtr, _
    ByVal UCPX_rptr As IntPtr, _
    ByVal UCPT_rptr As IntPtr, _
    ByVal R_rptr As IntPtr, _
    ByRef IRES As Integer _
  )


   Declare Sub D03PLF Lib "FLDLL224M_nag.dll" ( _
    ByRef NPDE As Integer, ByRef TS As Double, ByRef TOUT As Double, _
    ByVal PDEDEF As D03PLF_PDEDEF_DELEGATE, ByVal NUMFLX As D03PLF_NUMFLX_DELEGATE, ByVal BNDARY As D03PLF_BNDARY_DELEGATE, _
    ByRef U As Double, ByRef NPTS As Integer, ByRef X As Double, _
    ByRef NCODE As Integer, ByVal ODEDEF As D03PLF_ODEDEF_DELEGATE, ByRef NXI As Integer, _
    ByRef XI As Double, ByRef NEQN As Integer, ByRef RTOL As Double, _
    ByRef ATOL As Double, ByRef ITOL As Integer, ByVal NORM As string, ByVal NORMLength As Integer, _
    ByVal LAOPT As string, ByVal LAOPTLength As Integer, ByRef ALGOPT As Double, ByRef RSAVE As Double, _
    ByRef LRSAVE As Integer, ByRef ISAVE As Integer, ByRef LISAVE As Integer, _
    ByRef ITASK As Integer, ByRef ITRACE As Integer, ByRef IND As Integer, _
    ByRef IFAIL As Integer _
   )


  Delegate Sub D03PPA_PDEDEF_DELEGATE( _
    ByRef NPDE As Integer, _
    ByRef T As Double, _
    ByRef X As Double, _
    ByVal U_rptr As IntPtr, _
    ByVal UX_rptr As IntPtr, _
    ByRef NCODE As Integer, _
    ByVal V_rptr As IntPtr, _
    ByVal VDOT_rptr As IntPtr, _
    ByVal P_rptr As IntPtr, _
    ByVal Q_rptr As IntPtr, _
    ByVal R_rptr As IntPtr, _
    ByRef IRES As Integer, _
    ByVal IUSER_iptr As IntPtr, _
    ByVal RUSER_rptr As IntPtr _
  )

  Delegate Sub D03PPA_BNDARY_DELEGATE( _
    ByRef NPDE As Integer, _
    ByRef T As Double, _
    ByVal U_rptr As IntPtr, _
    ByVal UX_rptr As IntPtr, _
    ByRef NCODE As Integer, _
    ByVal V_rptr As IntPtr, _
    ByVal VDOT_rptr As IntPtr, _
    ByRef IBND As Integer, _
    ByVal BETA_rptr As IntPtr, _
    ByVal GAMMA_rptr As IntPtr, _
    ByRef IRES As Integer, _
    ByVal IUSER_iptr As IntPtr, _
    ByVal RUSER_rptr As IntPtr _
  )

  Delegate Sub D03PPA_UVINIT_DELEGATE( _
    ByRef NPDE As Integer, _
    ByRef NPTS As Integer, _
    ByRef NXI As Integer, _
    ByVal X_rptr As IntPtr, _
    ByVal XI_rptr As IntPtr, _
    ByVal U_rptr As IntPtr, _
    ByRef NCODE As Integer, _
    ByVal V_rptr As IntPtr, _
    ByVal IUSER_iptr As IntPtr, _
    ByVal RUSER_rptr As IntPtr _
  )

  Delegate Sub D03PPA_ODEDEF_DELEGATE( _
    ByRef NPDE As Integer, _
    ByRef T As Double, _
    ByRef NCODE As Integer, _
    ByVal V_rptr As IntPtr, _
    ByVal VDOT_rptr As IntPtr, _
    ByRef NXI As Integer, _
    ByVal XI_rptr As IntPtr, _
    ByVal UCP_rptr As IntPtr, _
    ByVal UCPX_rptr As IntPtr, _
    ByVal RCP_rptr As IntPtr, _
    ByVal UCPT_rptr As IntPtr, _
    ByVal UCPTX_rptr As IntPtr, _
    ByVal F_rptr As IntPtr, _
    ByRef IRES As Integer, _
    ByVal IUSER_iptr As IntPtr, _
    ByVal RUSER_rptr As IntPtr _
  )


  Delegate Sub D03PPA_MONITF_DELEGATE( _
    ByRef T As Double, _
    ByRef NPTS As Integer, _
    ByRef NPDE As Integer, _
    ByVal X_rptr As IntPtr, _
    ByVal U_rptr As IntPtr, _
    ByVal R_rptr As IntPtr, _
    ByVal FMON_rptr As IntPtr, _
    ByVal IUSER_iptr As IntPtr, _
    ByVal RUSER_rptr As IntPtr _
  )

   Declare Sub D53PCL Lib "FLDLL224M_nag.dll" ( _
    ByRef T As Double, _
    ByRef NPTS As Integer, _
    ByRef NPDE As Integer, _
    ByVal X_rptr As IntPtr, _
    ByVal U_rptr As IntPtr, _
    ByVal R_rptr As IntPtr, _
    ByVal FMON_rptr As IntPtr, _
    ByVal IUSER_iptr As IntPtr, _
    ByVal RUSER_rptr As IntPtr _
  )

   Declare Sub D03PPA Lib "FLDLL224M_nag.dll" ( _
    ByRef NPDE As Integer, ByRef M As Integer, ByRef TS As Double, _
    ByRef TOUT As Double, ByVal PDEDEF As D03PPF_PDEDEF_DELEGATE, ByVal BNDARY As D03PPF_BNDARY_DELEGATE, _
    ByVal UVINIT As D03PPF_UVINIT_DELEGATE, ByRef U As Double, ByRef NPTS As Integer, _
    ByRef X As Double, ByRef NCODE As Integer, ByVal ODEDEF As D03PPF_ODEDEF_DELEGATE, _
    ByRef NXI As Integer, ByRef XI As Double, ByRef NEQN As Integer, _
    ByRef RTOL As Double, ByRef ATOL As Double, ByRef ITOL As Integer, _
    ByVal NORM As string, ByVal NORMLength As Integer, ByVal LAOPT As string, ByVal LAOPTLength As Integer, ByRef ALGOPT As Double, _
    ByRef REMESH As Integer, ByRef NXFIX As Integer, ByRef XFIX As Double, _
    ByRef NRMESH As Integer, ByRef DXMESH As Double, ByRef TRMESH As Double, _
    ByRef IPMINF As Integer, ByRef XRATIO As Double, ByRef CON As Double, _
    ByVal MONITF As D03PPF_MONITF_DELEGATE, ByRef RSAVE As Double, ByRef LRSAVE As Integer, _
    ByRef ISAVE As Integer, ByRef LISAVE As Integer, ByRef ITASK As Integer, _
    ByRef ITRACE As Integer, ByRef IND As Integer, ByRef IUSER As Integer, _
    ByRef RUSER As Double, ByVal CWSAV As string, ByVal CWSAVLength As Integer, ByRef LWSAV As Integer, _
    ByRef IWSAV As Integer, ByRef RWSAV As Double, ByRef IFAIL As Integer _
   )

  Delegate Sub D03PPF_PDEDEF_DELEGATE( _
    ByRef NPDE As Integer, _
    ByRef T As Double, _
    ByRef X As Double, _
    ByVal U_rptr As IntPtr, _
    ByVal UX_rptr As IntPtr, _
    ByRef NCODE As Integer, _
    ByVal V_rptr As IntPtr, _
    ByVal VDOT_rptr As IntPtr, _
    ByVal P_rptr As IntPtr, _
    ByVal Q_rptr As IntPtr, _
    ByVal R_rptr As IntPtr, _
    ByRef IRES As Integer _
  )

  Delegate Sub D03PPF_BNDARY_DELEGATE( _
    ByRef NPDE As Integer, _
    ByRef T As Double, _
    ByVal U_rptr As IntPtr, _
    ByVal UX_rptr As IntPtr, _
    ByRef NCODE As Integer, _
    ByVal V_rptr As IntPtr, _
    ByVal VDOT_rptr As IntPtr, _
    ByRef IBND As Integer, _
    ByVal BETA_rptr As IntPtr, _
    ByVal GAMMA_rptr As IntPtr, _
    ByRef IRES As Integer _
  )

  Delegate Sub D03PPF_UVINIT_DELEGATE( _
    ByRef NPDE As Integer, _
    ByRef NPTS As Integer, _
    ByRef NXI As Integer, _
    ByVal X_rptr As IntPtr, _
    ByVal XI_rptr As IntPtr, _
    ByVal U_rptr As IntPtr, _
    ByRef NCODE As Integer, _
    ByVal V_rptr As IntPtr _
  )

  Delegate Sub D03PPF_ODEDEF_DELEGATE( _
    ByRef NPDE As Integer, _
    ByRef T As Double, _
    ByRef NCODE As Integer, _
    ByVal V_rptr As IntPtr, _
    ByVal VDOT_rptr As IntPtr, _
    ByRef NXI As Integer, _
    ByVal XI_rptr As IntPtr, _
    ByVal UCP_rptr As IntPtr, _
    ByVal UCPX_rptr As IntPtr, _
    ByVal RCP_rptr As IntPtr, _
    ByVal UCPT_rptr As IntPtr, _
    ByVal UCPTX_rptr As IntPtr, _
    ByVal F_rptr As IntPtr, _
    ByRef IRES As Integer _
  )


  Delegate Sub D03PPF_MONITF_DELEGATE( _
    ByRef T As Double, _
    ByRef NPTS As Integer, _
    ByRef NPDE As Integer, _
    ByVal X_rptr As IntPtr, _
    ByVal U_rptr As IntPtr, _
    ByVal R_rptr As IntPtr, _
    ByVal FMON_rptr As IntPtr _
  )

   Declare Sub D03PCL Lib "FLDLL224M_nag.dll" ( _
    ByRef T As Double, _
    ByRef NPTS As Integer, _
    ByRef NPDE As Integer, _
    ByVal X_rptr As IntPtr, _
    ByVal U_rptr As IntPtr, _
    ByVal R_rptr As IntPtr, _
    ByVal FMON_rptr As IntPtr _
  )

   Declare Sub D03PPF Lib "FLDLL224M_nag.dll" ( _
    ByRef NPDE As Integer, ByRef M As Integer, ByRef TS As Double, _
    ByRef TOUT As Double, ByVal PDEDEF As D03PPF_PDEDEF_DELEGATE, ByVal BNDARY As D03PPF_BNDARY_DELEGATE, _
    ByVal UVINIT As D03PPF_UVINIT_DELEGATE, ByRef U As Double, ByRef NPTS As Integer, _
    ByRef X As Double, ByRef NCODE As Integer, ByVal ODEDEF As D03PPF_ODEDEF_DELEGATE, _
    ByRef NXI As Integer, ByRef XI As Double, ByRef NEQN As Integer, _
    ByRef RTOL As Double, ByRef ATOL As Double, ByRef ITOL As Integer, _
    ByVal NORM As string, ByVal NORMLength As Integer, ByVal LAOPT As string, ByVal LAOPTLength As Integer, ByRef ALGOPT As Double, _
    ByRef REMESH As Integer, ByRef NXFIX As Integer, ByRef XFIX As Double, _
    ByRef NRMESH As Integer, ByRef DXMESH As Double, ByRef TRMESH As Double, _
    ByRef IPMINF As Integer, ByRef XRATIO As Double, ByRef CON As Double, _
    ByVal MONITF As D03PPF_MONITF_DELEGATE, ByRef RSAVE As Double, ByRef LRSAVE As Integer, _
    ByRef ISAVE As Integer, ByRef LISAVE As Integer, ByRef ITASK As Integer, _
    ByRef ITRACE As Integer, ByRef IND As Integer, ByRef IFAIL As Integer _
   )


  Delegate Sub D03PRF_PDEDEF_DELEGATE( _
    ByRef NPDE As Integer, _
    ByRef T As Double, _
    ByRef X As Double, _
    ByVal U_rptr As IntPtr, _
    ByVal UDOT_rptr As IntPtr, _
    ByVal UX_rptr As IntPtr, _
    ByRef NCODE As Integer, _
    ByVal V_rptr As IntPtr, _
    ByVal VDOT_rptr As IntPtr, _
    ByVal RES_rptr As IntPtr, _
    ByRef IRES As Integer _
  )

  Delegate Sub D03PRF_BNDARY_DELEGATE( _
    ByRef NPDE As Integer, _
    ByRef T As Double, _
    ByRef IBND As Integer, _
    ByRef NOBC As Integer, _
    ByVal U_rptr As IntPtr, _
    ByVal UDOT_rptr As IntPtr, _
    ByRef NCODE As Integer, _
    ByVal V_rptr As IntPtr, _
    ByVal VDOT_rptr As IntPtr, _
    ByVal RES_rptr As IntPtr, _
    ByRef IRES As Integer _
  )

  Delegate Sub D03PRF_UVINIT_DELEGATE( _
    ByRef NPDE As Integer, _
    ByRef NPTS As Integer, _
    ByRef NXI As Integer, _
    ByVal X_rptr As IntPtr, _
    ByVal XI_rptr As IntPtr, _
    ByVal U_rptr As IntPtr, _
    ByRef NCODE As Integer, _
    ByVal V_rptr As IntPtr _
  )

  Delegate Sub D03PRF_ODEDEF_DELEGATE( _
    ByRef NPDE As Integer, _
    ByRef T As Double, _
    ByRef NCODE As Integer, _
    ByVal V_rptr As IntPtr, _
    ByVal VDOT_rptr As IntPtr, _
    ByRef NXI As Integer, _
    ByVal XI_rptr As IntPtr, _
    ByVal UCP_rptr As IntPtr, _
    ByVal UCPX_rptr As IntPtr, _
    ByVal UCPT_rptr As IntPtr, _
    ByVal F_rptr As IntPtr, _
    ByRef IRES As Integer _
  )


  Delegate Sub D03PRF_MONITF_DELEGATE( _
    ByRef T As Double, _
    ByRef NPTS As Integer, _
    ByRef NPDE As Integer, _
    ByVal X_rptr As IntPtr, _
    ByVal U_rptr As IntPtr, _
    ByVal FMON_rptr As IntPtr _
  )

   Declare Sub D03PEL Lib "FLDLL224M_nag.dll" ( _
    ByRef T As Double, _
    ByRef NPTS As Integer, _
    ByRef NPDE As Integer, _
    ByVal X_rptr As IntPtr, _
    ByVal U_rptr As IntPtr, _
    ByVal FMON_rptr As IntPtr _
  )

   Declare Sub D03PRF Lib "FLDLL224M_nag.dll" ( _
    ByRef NPDE As Integer, ByRef TS As Double, ByRef TOUT As Double, _
    ByVal PDEDEF As D03PRF_PDEDEF_DELEGATE, ByVal BNDARY As D03PRF_BNDARY_DELEGATE, ByVal UVINIT As D03PRF_UVINIT_DELEGATE, _
    ByRef U As Double, ByRef NPTS As Integer, ByRef X As Double, _
    ByRef NLEFT As Integer, ByRef NCODE As Integer, ByVal ODEDEF As D03PRF_ODEDEF_DELEGATE, _
    ByRef NXI As Integer, ByRef XI As Double, ByRef NEQN As Integer, _
    ByRef RTOL As Double, ByRef ATOL As Double, ByRef ITOL As Integer, _
    ByVal NORM As string, ByVal NORMLength As Integer, ByVal LAOPT As string, ByVal LAOPTLength As Integer, ByRef ALGOPT As Double, _
    ByRef REMESH As Integer, ByRef NXFIX As Integer, ByRef XFIX As Double, _
    ByRef NRMESH As Integer, ByRef DXMESH As Double, ByRef TRMESH As Double, _
    ByRef IPMINF As Integer, ByRef XRATIO As Double, ByRef CON As Double, _
    ByVal MONITF As D03PRF_MONITF_DELEGATE, ByRef RSAVE As Double, ByRef LRSAVE As Integer, _
    ByRef ISAVE As Integer, ByRef LISAVE As Integer, ByRef ITASK As Integer, _
    ByRef ITRACE As Integer, ByRef IND As Integer, ByRef IFAIL As Integer _
   )


  Delegate Sub D03PSF_PDEDEF_DELEGATE( _
    ByRef NPDE As Integer, _
    ByRef T As Double, _
    ByRef X As Double, _
    ByVal U_rptr As IntPtr, _
    ByVal UX_rptr As IntPtr, _
    ByRef NCODE As Integer, _
    ByVal V_rptr As IntPtr, _
    ByVal VDOT_rptr As IntPtr, _
    ByVal P_rptr As IntPtr, _
    ByVal C_rptr As IntPtr, _
    ByVal D_rptr As IntPtr, _
    ByVal S_rptr As IntPtr, _
    ByRef IRES As Integer _
  )


  Delegate Sub D03PSF_NUMFLX_DELEGATE( _
    ByRef NPDE As Integer, _
    ByRef T As Double, _
    ByRef X As Double, _
    ByRef NCODE As Integer, _
    ByVal V_rptr As IntPtr, _
    ByVal ULEFT_rptr As IntPtr, _
    ByVal URIGHT_rptr As IntPtr, _
    ByVal FLUX_rptr As IntPtr, _
    ByRef IRES As Integer _
  )

  Delegate Sub D03PSF_BNDARY_DELEGATE( _
    ByRef NPDE As Integer, _
    ByRef NPTS As Integer, _
    ByRef T As Double, _
    ByVal X_rptr As IntPtr, _
    ByVal U_rptr As IntPtr, _
    ByRef NCODE As Integer, _
    ByVal V_rptr As IntPtr, _
    ByVal VDOT_rptr As IntPtr, _
    ByRef IBND As Integer, _
    ByVal G_rptr As IntPtr, _
    ByRef IRES As Integer _
  )

  Delegate Sub D03PSF_UVINIT_DELEGATE( _
    ByRef NPDE As Integer, _
    ByRef NPTS As Integer, _
    ByRef NXI As Integer, _
    ByVal X_rptr As IntPtr, _
    ByVal XI_rptr As IntPtr, _
    ByVal U_rptr As IntPtr, _
    ByRef NCODE As Integer, _
    ByVal V_rptr As IntPtr _
  )

  Delegate Sub D03PSF_ODEDEF_DELEGATE( _
    ByRef NPDE As Integer, _
    ByRef T As Double, _
    ByRef NCODE As Integer, _
    ByVal V_rptr As IntPtr, _
    ByVal VDOT_rptr As IntPtr, _
    ByRef NXI As Integer, _
    ByVal XI_rptr As IntPtr, _
    ByVal UCP_rptr As IntPtr, _
    ByVal UCPX_rptr As IntPtr, _
    ByVal UCPT_rptr As IntPtr, _
    ByVal R_rptr As IntPtr, _
    ByRef IRES As Integer _
  )


  Delegate Sub D03PSF_MONITF_DELEGATE( _
    ByRef T As Double, _
    ByRef NPTS As Integer, _
    ByRef NPDE As Integer, _
    ByVal X_rptr As IntPtr, _
    ByVal U_rptr As IntPtr, _
    ByVal FMON_rptr As IntPtr _
  )


   Declare Sub D03PSF Lib "FLDLL224M_nag.dll" ( _
    ByRef NPDE As Integer, ByRef TS As Double, ByRef TOUT As Double, _
    ByVal PDEDEF As D03PSF_PDEDEF_DELEGATE, ByVal NUMFLX As D03PSF_NUMFLX_DELEGATE, ByVal BNDARY As D03PSF_BNDARY_DELEGATE, _
    ByVal UVINIT As D03PSF_UVINIT_DELEGATE, ByRef U As Double, ByRef NPTS As Integer, _
    ByRef X As Double, ByRef NCODE As Integer, ByVal ODEDEF As D03PSF_ODEDEF_DELEGATE, _
    ByRef NXI As Integer, ByRef XI As Double, ByRef NEQN As Integer, _
    ByRef RTOL As Double, ByRef ATOL As Double, ByRef ITOL As Integer, _
    ByVal NORM As string, ByVal NORMLength As Integer, ByVal LAOPT As string, ByVal LAOPTLength As Integer, ByRef ALGOPT As Double, _
    ByRef REMESH As Integer, ByRef NXFIX As Integer, ByRef XFIX As Double, _
    ByRef NRMESH As Integer, ByRef DXMESH As Double, ByRef TRMESH As Double, _
    ByRef IPMINF As Integer, ByRef XRATIO As Double, ByRef CON As Double, _
    ByVal MONITF As D03PSF_MONITF_DELEGATE, ByRef RSAVE As Double, ByRef LRSAVE As Integer, _
    ByRef ISAVE As Integer, ByRef LISAVE As Integer, ByRef ITASK As Integer, _
    ByRef ITRACE As Integer, ByRef IND As Integer, ByRef IFAIL As Integer _
   )


   Declare Sub D03PUF Lib "FLDLL224M_nag.dll" ( _
    ByRef ULEFT As Double, _
    ByRef URIGHT As Double, _
    ByRef GAMMA As Double, _
    ByRef FLUX As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub D03PVF Lib "FLDLL224M_nag.dll" ( _
    ByRef ULEFT As Double, _
    ByRef URIGHT As Double, _
    ByRef GAMMA As Double, _
    ByVal PATH As string, ByVal PATHLength As Integer, _
    ByRef FLUX As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub D03PWF Lib "FLDLL224M_nag.dll" ( _
    ByRef ULEFT As Double, _
    ByRef URIGHT As Double, _
    ByRef GAMMA As Double, _
    ByRef FLUX As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub D03PXF Lib "FLDLL224M_nag.dll" ( _
    ByRef ULEFT As Double, _
    ByRef URIGHT As Double, _
    ByRef GAMMA As Double, _
    ByRef TOL As Double, _
    ByRef NITER As Integer, _
    ByRef FLUX As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub D03PYF Lib "FLDLL224M_nag.dll" ( _
    ByRef NPDE As Integer, _
    ByRef U As Double, _
    ByRef NBKPTS As Integer, _
    ByRef XBKPTS As Double, _
    ByRef NPOLY As Integer, _
    ByRef NPTS As Integer, _
    ByRef XP As Double, _
    ByRef INTPTS As Integer, _
    ByRef ITYPE As Integer, _
    ByRef UP As Double, _
    ByRef RSAVE As Double, _
    ByRef LRSAVE As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub D03PZF Lib "FLDLL224M_nag.dll" ( _
    ByRef NPDE As Integer, _
    ByRef M As Integer, _
    ByRef U As Double, _
    ByRef NPTS As Integer, _
    ByRef X As Double, _
    ByRef XP As Double, _
    ByRef INTPTS As Integer, _
    ByRef ITYPE As Integer, _
    ByRef UP As Double, _
    ByRef IFAIL As Integer _
   )


  Delegate Sub D03RAF_PDEDEF_DELEGATE( _
    ByRef NPTS As Integer, _
    ByRef NPDE As Integer, _
    ByRef T As Double, _
    ByVal X_rptr As IntPtr, _
    ByVal Y_rptr As IntPtr, _
    ByVal U_rptr As IntPtr, _
    ByVal UT_rptr As IntPtr, _
    ByVal UX_rptr As IntPtr, _
    ByVal UY_rptr As IntPtr, _
    ByVal UXX_rptr As IntPtr, _
    ByVal UXY_rptr As IntPtr, _
    ByVal UYY_rptr As IntPtr, _
    ByVal RES_rptr As IntPtr _
  )

  Delegate Sub D03RAF_BNDARY_DELEGATE( _
    ByRef NPTS As Integer, _
    ByRef NPDE As Integer, _
    ByRef T As Double, _
    ByVal X_rptr As IntPtr, _
    ByVal Y_rptr As IntPtr, _
    ByVal U_rptr As IntPtr, _
    ByVal UT_rptr As IntPtr, _
    ByVal UX_rptr As IntPtr, _
    ByVal UY_rptr As IntPtr, _
    ByRef NBPTS As Integer, _
    ByVal LBND_iptr As IntPtr, _
    ByVal RES_rptr As IntPtr _
  )

  Delegate Sub D03RAF_PDEIV_DELEGATE( _
    ByRef NPTS As Integer, _
    ByRef NPDE As Integer, _
    ByRef T As Double, _
    ByVal X_rptr As IntPtr, _
    ByVal Y_rptr As IntPtr, _
    ByVal U_rptr As IntPtr _
  )

  Delegate Sub D03RAF_MONITR_DELEGATE( _
    ByRef NPDE As Integer, _
    ByRef T As Double, _
    ByRef DT As Double, _
    ByRef DTNEW As Double, _
    ByRef TLAST As Integer, _
    ByRef NLEV As Integer, _
    ByVal NGPTS_iptr As IntPtr, _
    ByVal XPTS_rptr As IntPtr, _
    ByVal YPTS_rptr As IntPtr, _
    ByVal LSOL_iptr As IntPtr, _
    ByVal SOL_rptr As IntPtr, _
    ByRef IERR As Integer _
  )

   Declare Sub D03RAF Lib "FLDLL224M_nag.dll" ( _
    ByRef NPDE As Integer, ByRef TS As Double, ByRef TOUT As Double, _
    ByRef DT As Double, ByRef XMIN As Double, ByRef XMAX As Double, _
    ByRef YMIN As Double, ByRef YMAX As Double, ByRef NX As Integer, _
    ByRef NY As Integer, ByRef TOLS As Double, ByRef TOLT As Double, _
    ByVal PDEDEF As D03RAF_PDEDEF_DELEGATE, ByVal BNDARY As D03RAF_BNDARY_DELEGATE, ByVal PDEIV As D03RAF_PDEIV_DELEGATE, _
    ByVal MONITR As D03RAF_MONITR_DELEGATE, ByRef OPTI As Integer, ByRef OPTR As Double, _
    ByRef RWK As Double, ByRef LENRWK As Integer, ByRef IWK As Integer, _
    ByRef LENIWK As Integer, ByRef LWK As Integer, ByRef LENLWK As Integer, _
    ByRef ITRACE As Integer, ByRef IND As Integer, ByRef IFAIL As Integer _
   )


  Delegate Sub D03RBF_INIDOM_DELEGATE( _
    ByRef MAXPTS As Integer, _
    ByRef XMIN As Double, _
    ByRef XMAX As Double, _
    ByRef YMIN As Double, _
    ByRef YMAX As Double, _
    ByRef NX As Integer, _
    ByRef NY As Integer, _
    ByRef NPTS As Integer, _
    ByRef NROWS As Integer, _
    ByRef NBNDS As Integer, _
    ByRef NBPTS As Integer, _
    ByVal LROW_iptr As IntPtr, _
    ByVal IROW_iptr As IntPtr, _
    ByVal ICOL_iptr As IntPtr, _
    ByVal LLBND_iptr As IntPtr, _
    ByVal ILBND_iptr As IntPtr, _
    ByVal LBND_iptr As IntPtr, _
    ByRef IERR As Integer _
  )

  Delegate Sub D03RBF_PDEDEF_DELEGATE( _
    ByRef NPTS As Integer, _
    ByRef NPDE As Integer, _
    ByRef T As Double, _
    ByVal X_rptr As IntPtr, _
    ByVal Y_rptr As IntPtr, _
    ByVal U_rptr As IntPtr, _
    ByVal UT_rptr As IntPtr, _
    ByVal UX_rptr As IntPtr, _
    ByVal UY_rptr As IntPtr, _
    ByVal UXX_rptr As IntPtr, _
    ByVal UXY_rptr As IntPtr, _
    ByVal UYY_rptr As IntPtr, _
    ByVal RES_rptr As IntPtr _
  )

  Delegate Sub D03RBF_BNDARY_DELEGATE( _
    ByRef NPTS As Integer, _
    ByRef NPDE As Integer, _
    ByRef T As Double, _
    ByVal X_rptr As IntPtr, _
    ByVal Y_rptr As IntPtr, _
    ByVal U_rptr As IntPtr, _
    ByVal UT_rptr As IntPtr, _
    ByVal UX_rptr As IntPtr, _
    ByVal UY_rptr As IntPtr, _
    ByRef NBNDS As Integer, _
    ByRef NBPTS As Integer, _
    ByVal LLBND_iptr As IntPtr, _
    ByVal ILBND_iptr As IntPtr, _
    ByVal LBND_iptr As IntPtr, _
    ByVal RES_rptr As IntPtr _
  )

  Delegate Sub D03RBF_PDEIV_DELEGATE( _
    ByRef NPTS As Integer, _
    ByRef NPDE As Integer, _
    ByRef T As Double, _
    ByVal X_rptr As IntPtr, _
    ByVal Y_rptr As IntPtr, _
    ByVal U_rptr As IntPtr _
  )

  Delegate Sub D03RBF_MONITR_DELEGATE( _
    ByRef NPDE As Integer, _
    ByRef T As Double, _
    ByRef DT As Double, _
    ByRef DTNEW As Double, _
    ByRef TLAST As Integer, _
    ByRef NLEV As Integer, _
    ByRef XMIN As Double, _
    ByRef YMIN As Double, _
    ByRef DXB As Double, _
    ByRef DYB As Double, _
    ByVal LGRID_iptr As IntPtr, _
    ByVal ISTRUC_iptr As IntPtr, _
    ByVal LSOL_iptr As IntPtr, _
    ByVal SOL_rptr As IntPtr, _
    ByRef IERR As Integer _
  )

   Declare Sub D03RBF Lib "FLDLL224M_nag.dll" ( _
    ByRef NPDE As Integer, ByRef TS As Double, ByRef TOUT As Double, _
    ByRef DT As Double, ByRef TOLS As Double, ByRef TOLT As Double, _
    ByVal INIDOM As D03RBF_INIDOM_DELEGATE, ByVal PDEDEF As D03RBF_PDEDEF_DELEGATE, ByVal BNDARY As D03RBF_BNDARY_DELEGATE, _
    ByVal PDEIV As D03RBF_PDEIV_DELEGATE, ByVal MONITR As D03RBF_MONITR_DELEGATE, ByRef OPTI As Integer, _
    ByRef OPTR As Double, ByRef RWK As Double, ByRef LENRWK As Integer, _
    ByRef IWK As Integer, ByRef LENIWK As Integer, ByRef LWK As Integer, _
    ByRef LENLWK As Integer, ByRef ITRACE As Integer, ByRef IND As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub D03RYF Lib "FLDLL224M_nag.dll" ( _
    ByRef NX As Integer, _
    ByRef NY As Integer, _
    ByRef NPTS As Integer, _
    ByRef NROWS As Integer, _
    ByRef NBNDS As Integer, _
    ByRef NBPTS As Integer, _
    ByRef LROW As Integer, _
    ByRef IROW As Integer, _
    ByRef ICOL As Integer, _
    ByRef LLBND As Integer, _
    ByRef ILBND As Integer, _
    ByRef LBND As Integer, _
    ByRef IWK As Integer, _
    ByRef LENIWK As Integer, _
    ByVal PGRID As string, ByVal PGRIDLength As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub D03RZF Lib "FLDLL224M_nag.dll" ( _
    ByRef LEVEL As Integer, _
    ByRef NLEV As Integer, _
    ByRef XMIN As Double, _
    ByRef YMIN As Double, _
    ByRef DXB As Double, _
    ByRef DYB As Double, _
    ByRef LGRID As Integer, _
    ByRef ISTRUC As Integer, _
    ByRef NPTS As Integer, _
    ByRef X As Double, _
    ByRef Y As Double, _
    ByRef LENXY As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub D03UAF Lib "FLDLL224M_nag.dll" ( _
    ByRef N1 As Integer, _
    ByRef N2 As Integer, _
    ByRef LDA As Integer, _
    ByRef A As Double, _
    ByRef B As Double, _
    ByRef C As Double, _
    ByRef D As Double, _
    ByRef E As Double, _
    ByRef APARAM As Double, _
    ByRef IT As Integer, _
    ByRef R As Double, _
    ByRef WRKSP1 As Double, _
    ByRef WRKSP2 As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub D03UBF Lib "FLDLL224M_nag.dll" ( _
    ByRef N1 As Integer, _
    ByRef N2 As Integer, _
    ByRef N3 As Integer, _
    ByRef LDA As Integer, _
    ByRef SDA As Integer, _
    ByRef A As Double, _
    ByRef B As Double, _
    ByRef C As Double, _
    ByRef D As Double, _
    ByRef E As Double, _
    ByRef F As Double, _
    ByRef G As Double, _
    ByRef APARAM As Double, _
    ByRef IT As Integer, _
    ByRef R As Double, _
    ByRef WRKSP1 As Double, _
    ByRef WRKSP2 As Double, _
    ByRef WRKSP3 As Double, _
    ByRef IFAIL As Integer _
   )


  Delegate Function D04AAF_FUN_DELEGATE( _
    ByRef X As Double _
  ) as Double

   Declare Sub D04AAF Lib "FLDLL224M_nag.dll" ( _
    ByRef XVAL As Double, _
    ByRef NDER As Integer, _
    ByRef HBASE As Double, _
    ByRef DER As Double, _
    ByRef EREST As Double, _
    ByVal FUN As D04AAF_FUN_DELEGATE, _
    ByRef IFAIL As Integer _
   )


  Delegate Function D05AAF_K1_DELEGATE( _
    ByRef X As Double, _
    ByRef S As Double _
  ) as Double

  Delegate Function D05AAF_K2_DELEGATE( _
    ByRef X As Double, _
    ByRef S As Double _
  ) as Double

  Delegate Function D05AAF_G_DELEGATE( _
    ByRef X As Double _
  ) as Double

   Declare Sub D05AAF Lib "FLDLL224M_nag.dll" ( _
    ByRef LAMBDA As Double, _
    ByRef A As Double, _
    ByRef B As Double, _
    ByVal K1 As D05AAF_K1_DELEGATE, _
    ByVal K2 As D05AAF_K2_DELEGATE, _
    ByVal G As D05AAF_G_DELEGATE, _
    ByRef F As Double, _
    ByRef C As Double, _
    ByRef N As Integer, _
    ByRef IND As Integer, _
    ByRef W1 As Double, _
    ByRef W2 As Double, _
    ByRef WD As Double, _
    ByRef LDW1 As Integer, _
    ByRef LDW2 As Integer, _
    ByRef IFAIL As Integer _
   )


  Delegate Function D05ABF_K_DELEGATE( _
    ByRef X As Double, _
    ByRef S As Double _
  ) as Double

  Delegate Function D05ABF_G_DELEGATE( _
    ByRef X As Double _
  ) as Double

   Declare Sub D05ABF Lib "FLDLL224M_nag.dll" ( _
    ByVal K As D05ABF_K_DELEGATE, _
    ByVal G As D05ABF_G_DELEGATE, _
    ByRef LAMBDA As Double, _
    ByRef A As Double, _
    ByRef B As Double, _
    ByRef ODOREV As Integer, _
    ByRef EV As Integer, _
    ByRef N As Integer, _
    ByRef CM As Double, _
    ByRef F1 As Double, _
    ByRef WK As Double, _
    ByRef LDCM As Integer, _
    ByRef NT2P1 As Integer, _
    ByRef F As Double, _
    ByRef C As Double, _
    ByRef IFAIL As Integer _
   )


  Delegate Function D05BAF_CK_DELEGATE( _
    ByRef T As Double _
  ) as Double

  Delegate Function D05BAF_CG_DELEGATE( _
    ByRef S As Double, _
    ByRef Y As Double _
  ) as Double

  Delegate Function D05BAF_CF_DELEGATE( _
    ByRef T As Double _
  ) as Double

   Declare Sub D05BAF Lib "FLDLL224M_nag.dll" ( _
    ByVal CK As D05BAF_CK_DELEGATE, _
    ByVal CG As D05BAF_CG_DELEGATE, _
    ByVal CF As D05BAF_CF_DELEGATE, _
    ByVal METHOD As string, ByVal METHODLength As Integer, _
    ByRef IORDER As Integer, _
    ByRef ALIM As Double, _
    ByRef TLIM As Double, _
    ByRef YN As Double, _
    ByRef ERREST As Double, _
    ByRef NMESH As Integer, _
    ByRef TOL As Double, _
    ByRef THRESH As Double, _
    ByRef WORK As Double, _
    ByRef LWK As Integer, _
    ByRef IFAIL As Integer _
   )


  Delegate Function D05BDF_CK_DELEGATE( _
    ByRef T As Double _
  ) as Double

  Delegate Function D05BDF_CF_DELEGATE( _
    ByRef T As Double _
  ) as Double

  Delegate Function D05BDF_CG_DELEGATE( _
    ByRef S As Double, _
    ByRef Y As Double _
  ) as Double

   Declare Sub D05BDF Lib "FLDLL224M_nag.dll" ( _
    ByVal CK As D05BDF_CK_DELEGATE, _
    ByVal CF As D05BDF_CF_DELEGATE, _
    ByVal CG As D05BDF_CG_DELEGATE, _
    ByVal INITWT As string, ByVal INITWTLength As Integer, _
    ByRef IORDER As Integer, _
    ByRef TLIM As Double, _
    ByRef TOLNL As Double, _
    ByRef NMESH As Integer, _
    ByRef YN As Double, _
    ByRef WORK As Double, _
    ByRef LWK As Integer, _
    ByRef NCT As Integer, _
    ByRef IFAIL As Integer _
   )


  Delegate Function D05BEF_CK_DELEGATE( _
    ByRef T As Double _
  ) as Double

  Delegate Function D05BEF_CF_DELEGATE( _
    ByRef T As Double _
  ) as Double

  Delegate Function D05BEF_CG_DELEGATE( _
    ByRef S As Double, _
    ByRef Y As Double _
  ) as Double

   Declare Sub D05BEF Lib "FLDLL224M_nag.dll" ( _
    ByVal CK As D05BEF_CK_DELEGATE, _
    ByVal CF As D05BEF_CF_DELEGATE, _
    ByVal CG As D05BEF_CG_DELEGATE, _
    ByVal INITWT As string, ByVal INITWTLength As Integer, _
    ByRef IORDER As Integer, _
    ByRef TLIM As Double, _
    ByRef TOLNL As Double, _
    ByRef NMESH As Integer, _
    ByRef YN As Double, _
    ByRef WORK As Double, _
    ByRef LWK As Integer, _
    ByRef NCT As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub D05BWF Lib "FLDLL224M_nag.dll" ( _
    ByVal METHOD As string, ByVal METHODLength As Integer, _
    ByRef IORDER As Integer, _
    ByRef OMEGA As Double, _
    ByRef NOMG As Integer, _
    ByRef LENSW As Integer, _
    ByRef SW As Double, _
    ByRef LDSW As Integer, _
    ByRef NWT As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub D05BYF Lib "FLDLL224M_nag.dll" ( _
    ByRef IORDER As Integer, _
    ByRef IQ As Integer, _
    ByRef LENFW As Integer, _
    ByRef WT As Double, _
    ByRef SW As Double, _
    ByRef LDSW As Integer, _
    ByRef WORK As Double, _
    ByRef LWK As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub D06AAF Lib "FLDLL224M_nag.dll" ( _
    ByRef NVB As Integer, _
    ByRef NVMAX As Integer, _
    ByRef NEDGE As Integer, _
    ByRef EDGE As Integer, _
    ByRef NV As Integer, _
    ByRef NELT As Integer, _
    ByRef COOR As Double, _
    ByRef CONN As Integer, _
    ByRef BSPACE As Double, _
    ByRef SMOOTH As Integer, _
    ByRef COEF As Double, _
    ByRef POWER As Double, _
    ByRef ITRACE As Integer, _
    ByRef RWORK As Double, _
    ByRef LRWORK As Integer, _
    ByRef IWORK As Integer, _
    ByRef LIWORK As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub D06ABF Lib "FLDLL224M_nag.dll" ( _
    ByRef NVB As Integer, _
    ByRef NVINT As Integer, _
    ByRef NVMAX As Integer, _
    ByRef NEDGE As Integer, _
    ByRef EDGE As Integer, _
    ByRef NV As Integer, _
    ByRef NELT As Integer, _
    ByRef COOR As Double, _
    ByRef CONN As Integer, _
    ByRef WEIGHT As Double, _
    ByRef NPROPA As Integer, _
    ByRef ITRACE As Integer, _
    ByRef RWORK As Double, _
    ByRef LRWORK As Integer, _
    ByRef IWORK As Integer, _
    ByRef LIWORK As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub D06ACF Lib "FLDLL224M_nag.dll" ( _
    ByRef NVB As Integer, _
    ByRef NVINT As Integer, _
    ByRef NVMAX As Integer, _
    ByRef NEDGE As Integer, _
    ByRef EDGE As Integer, _
    ByRef NV As Integer, _
    ByRef NELT As Integer, _
    ByRef COOR As Double, _
    ByRef CONN As Integer, _
    ByRef WEIGHT As Double, _
    ByRef ITRACE As Integer, _
    ByRef RWORK As Double, _
    ByRef LRWORK As Integer, _
    ByRef IWORK As Integer, _
    ByRef LIWORK As Integer, _
    ByRef IFAIL As Integer _
   )


  Delegate Function D06BAF_FBND_DELEGATE( _
    ByRef I As Integer, _
    ByRef X As Double, _
    ByRef Y As Double, _
    ByVal RUSER_rptr As IntPtr, _
    ByVal IUSER_iptr As IntPtr _
  ) as Double

   Declare Function D06BAD Lib "FLDLL224M_nag.dll" ( _
    ByRef I As Integer, _
    ByRef X As Double, _
    ByRef Y As Double, _
    ByVal RUSER_rptr As IntPtr, _
    ByVal IUSER_iptr As IntPtr _
  ) as Double

   Declare Sub D06BAF Lib "FLDLL224M_nag.dll" ( _
    ByRef NLINES As Integer, ByRef COORCH As Double, ByRef LINED As Integer, _
    ByVal FBND As D06BAF_FBND_DELEGATE, ByRef CRUS As Double, ByRef SDCRUS As Integer, _
    ByRef RATE As Double, ByRef NCOMP As Integer, ByRef NLCOMP As Integer, _
    ByRef LCOMP As Integer, ByRef NVMAX As Integer, ByRef NEDMX As Integer, _
    ByRef NVB As Integer, ByRef COOR As Double, ByRef NEDGE As Integer, _
    ByRef EDGE As Integer, ByRef ITRACE As Integer, ByRef RUSER As Double, _
    ByRef IUSER As Integer, ByRef RWORK As Double, ByRef LRWORK As Integer, _
    ByRef IWORK As Integer, ByRef LIWORK As Integer, ByRef IFAIL As Integer _
   )


   Declare Sub D06CAF Lib "FLDLL224M_nag.dll" ( _
    ByRef NV As Integer, _
    ByRef NELT As Integer, _
    ByRef NEDGE As Integer, _
    ByRef COOR As Double, _
    ByRef EDGE As Integer, _
    ByRef CONN As Integer, _
    ByRef NVFIX As Integer, _
    ByRef NUMFIX As Integer, _
    ByRef ITRACE As Integer, _
    ByRef NQINT As Integer, _
    ByRef IWORK As Integer, _
    ByRef LIWORK As Integer, _
    ByRef RWORK As Double, _
    ByRef LRWORK As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub D06CBF Lib "FLDLL224M_nag.dll" ( _
    ByRef NV As Integer, _
    ByRef NELT As Integer, _
    ByRef NNZMAX As Integer, _
    ByRef CONN As Integer, _
    ByRef NNZ As Integer, _
    ByRef IROW As Integer, _
    ByRef ICOL As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub D06CCF Lib "FLDLL224M_nag.dll" ( _
    ByRef NV As Integer, _
    ByRef NELT As Integer, _
    ByRef NEDGE As Integer, _
    ByRef NNZMAX As Integer, _
    ByRef NNZ As Integer, _
    ByRef COOR As Double, _
    ByRef EDGE As Integer, _
    ByRef CONN As Integer, _
    ByRef IROW As Integer, _
    ByRef ICOL As Integer, _
    ByRef ITRACE As Integer, _
    ByRef IWORK As Integer, _
    ByRef LIWORK As Integer, _
    ByRef RWORK As Double, _
    ByRef LRWORK As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub D06DAF Lib "FLDLL224M_nag.dll" ( _
    ByRef NV As Integer, _
    ByRef NEDGE As Integer, _
    ByRef NELT As Integer, _
    ByRef NTRANS As Integer, _
    ByRef ITYPE As Integer, _
    ByRef TRANS As Double, _
    ByRef COORI As Double, _
    ByRef EDGEI As Integer, _
    ByRef CONNI As Integer, _
    ByRef COORO As Double, _
    ByRef EDGEO As Integer, _
    ByRef CONNO As Integer, _
    ByRef ITRACE As Integer, _
    ByRef RWORK As Double, _
    ByRef LRWORK As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub D06DBF Lib "FLDLL224M_nag.dll" ( _
    ByRef EPS As Double, ByRef NV1 As Integer, ByRef NELT1 As Integer, _
    ByRef NEDGE1 As Integer, ByRef COOR1 As Double, ByRef EDGE1 As Integer, _
    ByRef CONN1 As Integer, ByRef REFT1 As Integer, ByRef NV2 As Integer, _
    ByRef NELT2 As Integer, ByRef NEDGE2 As Integer, ByRef COOR2 As Double, _
    ByRef EDGE2 As Integer, ByRef CONN2 As Integer, ByRef REFT2 As Integer, _
    ByRef NV3 As Integer, ByRef NELT3 As Integer, ByRef NEDGE3 As Integer, _
    ByRef COOR3 As Double, ByRef EDGE3 As Integer, ByRef CONN3 As Integer, _
    ByRef REFT3 As Integer, ByRef ITRACE As Integer, ByRef IWORK As Integer, _
    ByRef LIWORK As Integer, ByRef IFAIL As Integer _
   )


   Declare Sub E01AAF Lib "FLDLL224M_nag.dll" ( _
    ByRef A As Double, _
    ByRef B As Double, _
    ByRef C As Double, _
    ByRef N1 As Integer, _
    ByRef N2 As Integer, _
    ByRef N As Integer, _
    ByRef X As Double _
   )


   Declare Sub E01ABF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef P As Double, _
    ByRef A As Double, _
    ByRef G As Double, _
    ByRef N1 As Integer, _
    ByRef N2 As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub E01AEF Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, _
    ByRef XMIN As Double, _
    ByRef XMAX As Double, _
    ByRef X As Double, _
    ByRef Y As Double, _
    ByRef IP As Integer, _
    ByRef N As Integer, _
    ByRef ITMIN As Integer, _
    ByRef ITMAX As Integer, _
    ByRef A As Double, _
    ByRef WRK As Double, _
    ByRef LWRK As Integer, _
    ByRef IWRK As Integer, _
    ByRef LIWRK As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub E01BAF Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, _
    ByRef X As Double, _
    ByRef Y As Double, _
    ByRef LAMDA As Double, _
    ByRef C As Double, _
    ByRef LCK As Integer, _
    ByRef WRK As Double, _
    ByRef LWRK As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub E01BEF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef X As Double, _
    ByRef F As Double, _
    ByRef D As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub E01BFF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef X As Double, _
    ByRef F As Double, _
    ByRef D As Double, _
    ByRef M As Integer, _
    ByRef PX As Double, _
    ByRef PF As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub E01BGF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef X As Double, _
    ByRef F As Double, _
    ByRef D As Double, _
    ByRef M As Integer, _
    ByRef PX As Double, _
    ByRef PF As Double, _
    ByRef PD As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub E01BHF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef X As Double, _
    ByRef F As Double, _
    ByRef D As Double, _
    ByRef A As Double, _
    ByRef B As Double, _
    ByRef PINT As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub E01DAF Lib "FLDLL224M_nag.dll" ( _
    ByRef MX As Integer, _
    ByRef MY As Integer, _
    ByRef X As Double, _
    ByRef Y As Double, _
    ByRef F As Double, _
    ByRef PX As Integer, _
    ByRef PY As Integer, _
    ByRef LAMDA As Double, _
    ByRef MU As Double, _
    ByRef C As Double, _
    ByRef WRK As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub E01RAF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef X As Double, _
    ByRef F As Double, _
    ByRef M As Integer, _
    ByRef A As Double, _
    ByRef U As Double, _
    ByRef IW As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub E01RBF Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, _
    ByRef A As Double, _
    ByRef U As Double, _
    ByRef X As Double, _
    ByRef F As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub E01SAF Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, _
    ByRef X As Double, _
    ByRef Y As Double, _
    ByRef F As Double, _
    ByRef TRIANG As Integer, _
    ByRef GRADS As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub E01SBF Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, _
    ByRef X As Double, _
    ByRef Y As Double, _
    ByRef F As Double, _
    ByRef TRIANG As Integer, _
    ByRef GRADS As Double, _
    ByRef PX As Double, _
    ByRef PY As Double, _
    ByRef PF As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub E01SGF Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, _
    ByRef X As Double, _
    ByRef Y As Double, _
    ByRef F As Double, _
    ByRef NW As Integer, _
    ByRef NQ As Integer, _
    ByRef IQ As Integer, _
    ByRef LIQ As Integer, _
    ByRef RQ As Double, _
    ByRef LRQ As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub E01SHF Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, _
    ByRef X As Double, _
    ByRef Y As Double, _
    ByRef F As Double, _
    ByRef IQ As Integer, _
    ByRef LIQ As Integer, _
    ByRef RQ As Double, _
    ByRef LRQ As Integer, _
    ByRef N As Integer, _
    ByRef U As Double, _
    ByRef V As Double, _
    ByRef Q As Double, _
    ByRef QX As Double, _
    ByRef QY As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub E01TGF Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, _
    ByRef X As Double, _
    ByRef Y As Double, _
    ByRef Z As Double, _
    ByRef F As Double, _
    ByRef NW As Integer, _
    ByRef NQ As Integer, _
    ByRef IQ As Integer, _
    ByRef LIQ As Integer, _
    ByRef RQ As Double, _
    ByRef LRQ As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub E01THF Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, _
    ByRef X As Double, _
    ByRef Y As Double, _
    ByRef Z As Double, _
    ByRef F As Double, _
    ByRef IQ As Integer, _
    ByRef LIQ As Integer, _
    ByRef RQ As Double, _
    ByRef LRQ As Integer, _
    ByRef N As Integer, _
    ByRef U As Double, _
    ByRef V As Double, _
    ByRef W As Double, _
    ByRef Q As Double, _
    ByRef QX As Double, _
    ByRef QY As Double, _
    ByRef QZ As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub E02ACF Lib "FLDLL224M_nag.dll" ( _
    ByRef X As Double, _
    ByRef Y As Double, _
    ByRef N As Integer, _
    ByRef A As Double, _
    ByRef M1 As Integer, _
    ByRef REF As Double _
   )


   Declare Sub E02ADF Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, _
    ByRef KPLUS1 As Integer, _
    ByRef LDA As Integer, _
    ByRef X As Double, _
    ByRef Y As Double, _
    ByRef W As Double, _
    ByRef WORK1 As Double, _
    ByRef WORK2 As Double, _
    ByRef A As Double, _
    ByRef S As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub E02AEF Lib "FLDLL224M_nag.dll" ( _
    ByRef NPLUS1 As Integer, _
    ByRef A As Double, _
    ByRef XCAP As Double, _
    ByRef P As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub E02AFF Lib "FLDLL224M_nag.dll" ( _
    ByRef NPLUS1 As Integer, _
    ByRef F As Double, _
    ByRef A As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub E02AGF Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, ByRef KPLUS1 As Integer, ByRef LDA As Integer, _
    ByRef XMIN As Double, ByRef XMAX As Double, ByRef X As Double, _
    ByRef Y As Double, ByRef W As Double, ByRef MF As Integer, _
    ByRef XF As Double, ByRef YF As Double, ByRef LYF As Integer, _
    ByRef IP As Integer, ByRef A As Double, ByRef S As Double, _
    ByRef NP1 As Integer, ByRef WRK As Double, ByRef LWRK As Integer, _
    ByRef IWRK As Integer, ByRef LIWRK As Integer, ByRef IFAIL As Integer _
   )


   Declare Sub E02AHF Lib "FLDLL224M_nag.dll" ( _
    ByRef NP1 As Integer, _
    ByRef XMIN As Double, _
    ByRef XMAX As Double, _
    ByRef A As Double, _
    ByRef IA1 As Integer, _
    ByRef LA As Integer, _
    ByRef PATM1 As Double, _
    ByRef ADIF As Double, _
    ByRef IADIF1 As Integer, _
    ByRef LADIF As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub E02AJF Lib "FLDLL224M_nag.dll" ( _
    ByRef NP1 As Integer, _
    ByRef XMIN As Double, _
    ByRef XMAX As Double, _
    ByRef A As Double, _
    ByRef IA1 As Integer, _
    ByRef LA As Integer, _
    ByRef QATM1 As Double, _
    ByRef AINT As Double, _
    ByRef IAINT1 As Integer, _
    ByRef LAINT As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub E02AKF Lib "FLDLL224M_nag.dll" ( _
    ByRef NP1 As Integer, _
    ByRef XMIN As Double, _
    ByRef XMAX As Double, _
    ByRef A As Double, _
    ByRef IA1 As Integer, _
    ByRef LA As Integer, _
    ByRef X As Double, _
    ByRef RESULT As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub E02BAF Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, _
    ByRef NCAP7 As Integer, _
    ByRef X As Double, _
    ByRef Y As Double, _
    ByRef W As Double, _
    ByRef LAMDA As Double, _
    ByRef WORK1 As Double, _
    ByRef WORK2 As Double, _
    ByRef C As Double, _
    ByRef SS As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub E02BBF Lib "FLDLL224M_nag.dll" ( _
    ByRef NCAP7 As Integer, _
    ByRef LAMDA As Double, _
    ByRef C As Double, _
    ByRef X As Double, _
    ByRef S As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub E02BCF Lib "FLDLL224M_nag.dll" ( _
    ByRef NCAP7 As Integer, _
    ByRef LAMDA As Double, _
    ByRef C As Double, _
    ByRef X As Double, _
    ByRef LEFT As Integer, _
    ByRef S As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub E02BDF Lib "FLDLL224M_nag.dll" ( _
    ByRef NCAP7 As Integer, _
    ByRef LAMDA As Double, _
    ByRef C As Double, _
    ByRef DINT As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub E02BEF Lib "FLDLL224M_nag.dll" ( _
    ByVal START As string, ByVal STARTLength As Integer, _
    ByRef M As Integer, _
    ByRef X As Double, _
    ByRef Y As Double, _
    ByRef W As Double, _
    ByRef S As Double, _
    ByRef NEST As Integer, _
    ByRef N As Integer, _
    ByRef LAMDA As Double, _
    ByRef C As Double, _
    ByRef FP As Double, _
    ByRef WRK As Double, _
    ByRef LWRK As Integer, _
    ByRef IWRK As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub E02CAF Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, ByRef N As Integer, ByRef K As Integer, _
    ByRef L As Integer, ByRef X As Double, ByRef Y As Double, _
    ByRef F As Double, ByRef W As Double, ByRef MTOT As Integer, _
    ByRef A As Double, ByRef NA As Integer, ByRef XMIN As Double, _
    ByRef XMAX As Double, ByRef NUX As Double, ByRef INUXP1 As Integer, _
    ByRef NUY As Double, ByRef INUYP1 As Integer, ByRef WORK As Double, _
    ByRef NWORK As Integer, ByRef IFAIL As Integer _
   )


   Declare Sub E02CBF Lib "FLDLL224M_nag.dll" ( _
    ByRef MFIRST As Integer, _
    ByRef MLAST As Integer, _
    ByRef K As Integer, _
    ByRef L As Integer, _
    ByRef X As Double, _
    ByRef XMIN As Double, _
    ByRef XMAX As Double, _
    ByRef Y As Double, _
    ByRef YMIN As Double, _
    ByRef YMAX As Double, _
    ByRef FF As Double, _
    ByRef A As Double, _
    ByRef NA As Integer, _
    ByRef WORK As Double, _
    ByRef NWORK As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub E02DAF Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, ByRef PX As Integer, ByRef PY As Integer, _
    ByRef X As Double, ByRef Y As Double, ByRef F As Double, _
    ByRef W As Double, ByRef LAMDA As Double, ByRef MU As Double, _
    ByRef POINT As Integer, ByRef NPOINT As Integer, ByRef DL As Double, _
    ByRef C As Double, ByRef NC As Integer, ByRef WS As Double, _
    ByRef NWS As Integer, ByRef EPS As Double, ByRef SIGMA As Double, _
    ByRef RANK As Integer, ByRef IFAIL As Integer _
   )


   Declare Sub E02DCF Lib "FLDLL224M_nag.dll" ( _
    ByVal START As string, ByVal STARTLength As Integer, ByRef MX As Integer, ByRef X As Double, _
    ByRef MY As Integer, ByRef Y As Double, ByRef F As Double, _
    ByRef S As Double, ByRef NXEST As Integer, ByRef NYEST As Integer, _
    ByRef NX As Integer, ByRef LAMDA As Double, ByRef NY As Integer, _
    ByRef MU As Double, ByRef C As Double, ByRef FP As Double, _
    ByRef WRK As Double, ByRef LWRK As Integer, ByRef IWRK As Integer, _
    ByRef LIWRK As Integer, ByRef IFAIL As Integer _
   )


   Declare Sub E02DDF Lib "FLDLL224M_nag.dll" ( _
    ByVal START As string, ByVal STARTLength As Integer, ByRef M As Integer, ByRef X As Double, _
    ByRef Y As Double, ByRef F As Double, ByRef W As Double, _
    ByRef S As Double, ByRef NXEST As Integer, ByRef NYEST As Integer, _
    ByRef NX As Integer, ByRef LAMDA As Double, ByRef NY As Integer, _
    ByRef MU As Double, ByRef C As Double, ByRef FP As Double, _
    ByRef RANK As Integer, ByRef WRK As Double, ByRef LWRK As Integer, _
    ByRef IWRK As Integer, ByRef LIWRK As Integer, ByRef IFAIL As Integer _
   )


   Declare Sub E02DEF Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, _
    ByRef PX As Integer, _
    ByRef PY As Integer, _
    ByRef X As Double, _
    ByRef Y As Double, _
    ByRef LAMDA As Double, _
    ByRef MU As Double, _
    ByRef C As Double, _
    ByRef FF As Double, _
    ByRef WRK As Double, _
    ByRef IWRK As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub E02DFF Lib "FLDLL224M_nag.dll" ( _
    ByRef MX As Integer, _
    ByRef MY As Integer, _
    ByRef PX As Integer, _
    ByRef PY As Integer, _
    ByRef X As Double, _
    ByRef Y As Double, _
    ByRef LAMDA As Double, _
    ByRef MU As Double, _
    ByRef C As Double, _
    ByRef FF As Double, _
    ByRef WRK As Double, _
    ByRef LWRK As Integer, _
    ByRef IWRK As Integer, _
    ByRef LIWRK As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub E02GAF Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef B As Double, _
    ByRef NPLUS2 As Integer, _
    ByRef TOLER As Double, _
    ByRef X As Double, _
    ByRef RESID As Double, _
    ByRef IRANK As Integer, _
    ByRef ITER As Integer, _
    ByRef IWORK As Integer, _
    ByRef IFAIL As Integer _
   )


  Delegate Sub E02GBF_MONIT_DELEGATE( _
    ByRef N As Integer, _
    ByVal X_rptr As IntPtr, _
    ByRef NITER As Integer, _
    ByRef K As Integer, _
    ByRef EL1N As Double _
  )

   Declare Sub E02GBF Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef MPL As Integer, _
    ByRef E As Double, _
    ByRef LDE As Integer, _
    ByRef F As Double, _
    ByRef X As Double, _
    ByRef MXS As Integer, _
    ByVal MONIT As E02GBF_MONIT_DELEGATE, _
    ByRef IPRINT As Integer, _
    ByRef K As Integer, _
    ByRef EL1N As Double, _
    ByRef INDX As Integer, _
    ByRef W As Double, _
    ByRef IW As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub E02GCF Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef SDA As Integer, _
    ByRef LDA As Integer, _
    ByRef A As Double, _
    ByRef B As Double, _
    ByRef TOL As Double, _
    ByRef RELERR As Double, _
    ByRef X As Double, _
    ByRef RESMAX As Double, _
    ByRef IRANK As Integer, _
    ByRef ITER As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub E02RAF Lib "FLDLL224M_nag.dll" ( _
    ByRef IA As Integer, _
    ByRef IB As Integer, _
    ByRef C As Double, _
    ByRef IC As Integer, _
    ByRef A As Double, _
    ByRef B As Double, _
    ByRef W As Double, _
    ByRef JW As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub E02RBF Lib "FLDLL224M_nag.dll" ( _
    ByRef A As Double, _
    ByRef IA As Integer, _
    ByRef B As Double, _
    ByRef IB As Integer, _
    ByRef X As Double, _
    ByRef ANS As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub E02ZAF Lib "FLDLL224M_nag.dll" ( _
    ByRef PX As Integer, _
    ByRef PY As Integer, _
    ByRef LAMDA As Double, _
    ByRef MU As Double, _
    ByRef M As Integer, _
    ByRef X As Double, _
    ByRef Y As Double, _
    ByRef POINT As Integer, _
    ByRef NPOINT As Integer, _
    ByRef ADRES As Integer, _
    ByRef NADRES As Integer, _
    ByRef IFAIL As Integer _
   )


  Delegate Sub E04ABA_FUNCT_DELEGATE( _
    ByRef XC As Double, _
    ByRef FC As Double, _
    ByVal IUSER_iptr As IntPtr, _
    ByVal RUSER_rptr As IntPtr _
  )

   Declare Sub E04ABA Lib "FLDLL224M_nag.dll" ( _
    ByVal FUNCT As E04ABF_FUNCT_DELEGATE, _
    ByRef E1 As Double, _
    ByRef E2 As Double, _
    ByRef A As Double, _
    ByRef B As Double, _
    ByRef MAXCAL As Integer, _
    ByRef X As Double, _
    ByRef F As Double, _
    ByRef IUSER As Integer, _
    ByRef RUSER As Double, _
    ByRef IFAIL As Integer _
   )

  Delegate Sub E04ABF_FUNCT_DELEGATE( _
    ByRef XC As Double, _
    ByRef FC As Double _
  )

   Declare Sub E04ABF Lib "FLDLL224M_nag.dll" ( _
    ByVal FUNCT As E04ABF_FUNCT_DELEGATE, _
    ByRef E1 As Double, _
    ByRef E2 As Double, _
    ByRef A As Double, _
    ByRef B As Double, _
    ByRef MAXCAL As Integer, _
    ByRef X As Double, _
    ByRef F As Double, _
    ByRef IFAIL As Integer _
   )


  Delegate Sub E04BBA_FUNCT_DELEGATE( _
    ByRef XC As Double, _
    ByRef FC As Double, _
    ByRef GC As Double, _
    ByVal IUSER_iptr As IntPtr, _
    ByVal RUSER_rptr As IntPtr _
  )

   Declare Sub E04BBA Lib "FLDLL224M_nag.dll" ( _
    ByVal FUNCT As E04BBF_FUNCT_DELEGATE, _
    ByRef E1 As Double, _
    ByRef E2 As Double, _
    ByRef A As Double, _
    ByRef B As Double, _
    ByRef MAXCAL As Integer, _
    ByRef X As Double, _
    ByRef F As Double, _
    ByRef G As Double, _
    ByRef IUSER As Integer, _
    ByRef RUSER As Double, _
    ByRef IFAIL As Integer _
   )

  Delegate Sub E04BBF_FUNCT_DELEGATE( _
    ByRef XC As Double, _
    ByRef FC As Double, _
    ByRef GC As Double _
  )

   Declare Sub E04BBF Lib "FLDLL224M_nag.dll" ( _
    ByVal FUNCT As E04BBF_FUNCT_DELEGATE, _
    ByRef E1 As Double, _
    ByRef E2 As Double, _
    ByRef A As Double, _
    ByRef B As Double, _
    ByRef MAXCAL As Integer, _
    ByRef X As Double, _
    ByRef F As Double, _
    ByRef G As Double, _
    ByRef IFAIL As Integer _
   )


  Delegate Sub E04CBF_FUNCT_DELEGATE( _
    ByRef N As Integer, _
    ByVal XC_rptr As IntPtr, _
    ByRef FC As Double, _
    ByVal IUSER_iptr As IntPtr, _
    ByVal RUSER_rptr As IntPtr _
  )

  Delegate Sub E04CBF_MONIT_DELEGATE( _
    ByRef FMIN As Double, _
    ByRef FMAX As Double, _
    ByVal SIM_rptr As IntPtr, _
    ByRef N As Integer, _
    ByRef NCALL As Integer, _
    ByRef SERROR As Double, _
    ByRef VRATIO As Double, _
    ByVal IUSER_iptr As IntPtr, _
    ByVal RUSER_rptr As IntPtr _
  )

   Declare Sub E04CBF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef X As Double, _
    ByRef F As Double, _
    ByRef TOLF As Double, _
    ByRef TOLX As Double, _
    ByVal FUNCT As E04CBF_FUNCT_DELEGATE, _
    ByVal MONIT As E04CBF_MONIT_DELEGATE, _
    ByRef MAXCAL As Integer, _
    ByRef IUSER As Integer, _
    ByRef RUSER As Double, _
    ByRef IFAIL As Integer _
   )


  Delegate Sub E04CCA_FUNCT_DELEGATE( _
    ByRef N As Integer, _
    ByVal XC_rptr As IntPtr, _
    ByRef FC As Double, _
    ByVal IUSER_iptr As IntPtr, _
    ByVal RUSER_rptr As IntPtr _
  )

  Delegate Sub E04CCA_MONIT_DELEGATE( _
    ByRef FMIN As Double, _
    ByRef FMAX As Double, _
    ByVal SIM_rptr As IntPtr, _
    ByRef N As Integer, _
    ByRef NVERT As Integer, _
    ByRef NCALL As Integer, _
    ByVal IUSER_iptr As IntPtr, _
    ByVal RUSER_rptr As IntPtr _
  )

   Declare Sub E04CCA Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef X As Double, _
    ByRef F As Double, _
    ByRef TOL As Double, _
    ByRef IW As Integer, _
    ByRef W1 As Double, _
    ByRef W2 As Double, _
    ByRef W3 As Double, _
    ByRef W4 As Double, _
    ByRef W5 As Double, _
    ByRef W6 As Double, _
    ByVal FUNCT As E04CCF_FUNCT_DELEGATE, _
    ByVal MONIT As E04CCF_MONIT_DELEGATE, _
    ByRef MAXCAL As Integer, _
    ByRef IUSER As Integer, _
    ByRef RUSER As Double, _
    ByRef IFAIL As Integer _
   )

  Delegate Sub E04CCF_FUNCT_DELEGATE( _
    ByRef N As Integer, _
    ByVal XC_rptr As IntPtr, _
    ByRef FC As Double _
  )

  Delegate Sub E04CCF_MONIT_DELEGATE( _
    ByRef FMIN As Double, _
    ByRef FMAX As Double, _
    ByVal SIM_rptr As IntPtr, _
    ByRef N As Integer, _
    ByRef NVERT As Integer, _
    ByRef NCALL As Integer _
  )

   Declare Sub E04CCF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef X As Double, _
    ByRef F As Double, _
    ByRef TOL As Double, _
    ByRef IW As Integer, _
    ByRef W1 As Double, _
    ByRef W2 As Double, _
    ByRef W3 As Double, _
    ByRef W4 As Double, _
    ByRef W5 As Double, _
    ByRef W6 As Double, _
    ByVal FUNCT As E04CCF_FUNCT_DELEGATE, _
    ByVal MONIT As E04CCF_MONIT_DELEGATE, _
    ByRef MAXCAL As Integer, _
    ByRef IFAIL As Integer _
   )


  Delegate Sub E04DGA_OBJFUN_DELEGATE( _
    ByRef MODE As Integer, _
    ByRef N As Integer, _
    ByVal X_rptr As IntPtr, _
    ByRef OBJF As Double, _
    ByVal OBJGRD_rptr As IntPtr, _
    ByRef NSTATE As Integer, _
    ByVal IUSER_iptr As IntPtr, _
    ByVal RUSER_rptr As IntPtr _
  )

   Declare Sub E04DGA Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByVal OBJFUN As E04DGF_OBJFUN_DELEGATE, _
    ByRef ITER As Integer, _
    ByRef OBJF As Double, _
    ByRef OBJGRD As Double, _
    ByRef X As Double, _
    ByRef IWORK As Integer, _
    ByRef WORK As Double, _
    ByRef IUSER As Integer, _
    ByRef RUSER As Double, _
    ByRef LWSAV As Integer, _
    ByRef IWSAV As Integer, _
    ByRef RWSAV As Double, _
    ByRef IFAIL As Integer _
   )

  Delegate Sub E04DGF_OBJFUN_DELEGATE( _
    ByRef MODE As Integer, _
    ByRef N As Integer, _
    ByVal X_rptr As IntPtr, _
    ByRef OBJF As Double, _
    ByVal OBJGRD_rptr As IntPtr, _
    ByRef NSTATE As Integer, _
    ByVal IUSER_iptr As IntPtr, _
    ByVal RUSER_rptr As IntPtr _
  )

   Declare Sub E04DGF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByVal OBJFUN As E04DGF_OBJFUN_DELEGATE, _
    ByRef ITER As Integer, _
    ByRef OBJF As Double, _
    ByRef OBJGRD As Double, _
    ByRef X As Double, _
    ByRef IWORK As Integer, _
    ByRef WORK As Double, _
    ByRef IUSER As Integer, _
    ByRef RUSER As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub E04DJA Lib "FLDLL224M_nag.dll" ( _
    ByRef IOPTNS As Integer, _
    ByRef LWSAV As Integer, _
    ByRef IWSAV As Integer, _
    ByRef RWSAV As Double, _
    ByRef INFORM As Integer _
   )

   Declare Sub E04DJF Lib "FLDLL224M_nag.dll" ( _
    ByRef IOPTNS As Integer, _
    ByRef INFORM As Integer _
   )


   Declare Sub E04DKA Lib "FLDLL224M_nag.dll" ( _
    ByVal STR As string, ByVal STRLength As Integer, _
    ByRef LWSAV As Integer, _
    ByRef IWSAV As Integer, _
    ByRef RWSAV As Double, _
    ByRef INFORM As Integer _
   )

   Declare Sub E04DKF Lib "FLDLL224M_nag.dll" ( _
    ByVal STR As string, ByVal STRLength As Integer _
   )


  Delegate Sub E04FCF_LSQFUN_DELEGATE( _
    ByRef IFLAG As Integer, _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByVal XC_rptr As IntPtr, _
    ByVal FVEC_rptr As IntPtr, _
    ByVal IW_iptr As IntPtr, _
    ByRef LIW As Integer, _
    ByVal W_rptr As IntPtr, _
    ByRef LW As Integer _
  )

  Delegate Sub E04FCF_LSQMON_DELEGATE( _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByVal XC_rptr As IntPtr, _
    ByVal FVEC_rptr As IntPtr, _
    ByVal FJAC_rptr As IntPtr, _
    ByRef LDFJAC As Integer, _
    ByVal S_rptr As IntPtr, _
    ByRef IGRADE As Integer, _
    ByRef NITER As Integer, _
    ByRef NF As Integer, _
    ByVal IW_iptr As IntPtr, _
    ByRef LIW As Integer, _
    ByVal W_rptr As IntPtr, _
    ByRef LW As Integer _
  )

   Declare Sub E04FDZ Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByVal XC_rptr As IntPtr, _
    ByVal FVEC_rptr As IntPtr, _
    ByVal FJAC_rptr As IntPtr, _
    ByRef LDFJAC As Integer, _
    ByVal S_rptr As IntPtr, _
    ByRef IGRADE As Integer, _
    ByRef NITER As Integer, _
    ByRef NF As Integer, _
    ByVal IW_iptr As IntPtr, _
    ByRef LIW As Integer, _
    ByVal W_rptr As IntPtr, _
    ByRef LW As Integer _
  )

   Declare Sub E04FCF Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, ByRef N As Integer, ByVal LSQFUN As E04FCF_LSQFUN_DELEGATE, _
    ByVal LSQMON As E04FCF_LSQMON_DELEGATE, ByRef IPRINT As Integer, ByRef MAXCAL As Integer, _
    ByRef ETA As Double, ByRef XTOL As Double, ByRef STEPMX As Double, _
    ByRef X As Double, ByRef FSUMSQ As Double, ByRef FVEC As Double, _
    ByRef FJAC As Double, ByRef LDFJAC As Integer, ByRef S As Double, _
    ByRef V As Double, ByRef LDV As Integer, ByRef NITER As Integer, _
    ByRef NF As Integer, ByRef IW As Integer, ByRef LIW As Integer, _
    ByRef W As Double, ByRef LW As Integer, ByRef IFAIL As Integer _
   )


  Delegate Sub E04FYF_LSFUN1_DELEGATE( _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByVal XC_rptr As IntPtr, _
    ByVal FVEC_rptr As IntPtr, _
    ByVal IUSER_iptr As IntPtr, _
    ByVal RUSER_rptr As IntPtr _
  )

   Declare Sub E04FYF Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByVal LSFUN1 As E04FYF_LSFUN1_DELEGATE, _
    ByRef X As Double, _
    ByRef FSUMSQ As Double, _
    ByRef W As Double, _
    ByRef LW As Integer, _
    ByRef IUSER As Integer, _
    ByRef RUSER As Double, _
    ByRef IFAIL As Integer _
   )


  Delegate Sub E04GBF_LSQLIN_DELEGATE( _
    ByRef LSQLIN_SELECT As Integer _
  )

   Declare Sub E04FCV Lib "FLDLL224M_nag.dll" ( _
    ByRef LSQLIN_SELECT As Integer _
  )

   Declare Sub E04HEV Lib "FLDLL224M_nag.dll" ( _
    ByRef LSQLIN_SELECT As Integer _
  )

  Delegate Sub E04GBF_LSQFUN_DELEGATE( _
    ByRef IFLAG As Integer, _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByVal XC_rptr As IntPtr, _
    ByVal FVEC_rptr As IntPtr, _
    ByVal FJAC_rptr As IntPtr, _
    ByRef LDFJAC As Integer, _
    ByVal IW_iptr As IntPtr, _
    ByRef LIW As Integer, _
    ByVal W_rptr As IntPtr, _
    ByRef LW As Integer _
  )

  Delegate Sub E04GBF_LSQMON_DELEGATE( _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByVal XC_rptr As IntPtr, _
    ByVal FVEC_rptr As IntPtr, _
    ByVal FJAC_rptr As IntPtr, _
    ByRef LDFJAC As Integer, _
    ByVal S_rptr As IntPtr, _
    ByRef IGRADE As Integer, _
    ByRef NITER As Integer, _
    ByRef NF As Integer, _
    ByVal IW_iptr As IntPtr, _
    ByRef LIW As Integer, _
    ByVal W_rptr As IntPtr, _
    ByRef LW As Integer _
  )

   Declare Sub E04GBF Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, ByRef N As Integer, ByVal LSQLIN As E04GBF_LSQLIN_DELEGATE, _
    ByVal LSQFUN As E04GBF_LSQFUN_DELEGATE, ByVal LSQMON As E04GBF_LSQMON_DELEGATE, ByRef IPRINT As Integer, _
    ByRef MAXCAL As Integer, ByRef ETA As Double, ByRef XTOL As Double, _
    ByRef STEPMX As Double, ByRef X As Double, ByRef FSUMSQ As Double, _
    ByRef FVEC As Double, ByRef FJAC As Double, ByRef LDFJAC As Integer, _
    ByRef S As Double, ByRef V As Double, ByRef LDV As Integer, _
    ByRef NITER As Integer, ByRef NF As Integer, ByRef IW As Integer, _
    ByRef LIW As Integer, ByRef W As Double, ByRef LW As Integer, _
    ByRef IFAIL As Integer _
   )


  Delegate Sub E04GDF_LSQFUN_DELEGATE( _
    ByRef IFLAG As Integer, _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByVal XC_rptr As IntPtr, _
    ByVal FVEC_rptr As IntPtr, _
    ByVal FJAC_rptr As IntPtr, _
    ByRef LDFJAC As Integer, _
    ByVal IW_iptr As IntPtr, _
    ByRef LIW As Integer, _
    ByVal W_rptr As IntPtr, _
    ByRef LW As Integer _
  )

  Delegate Sub E04GDF_LSQMON_DELEGATE( _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByVal XC_rptr As IntPtr, _
    ByVal FVEC_rptr As IntPtr, _
    ByVal FJAC_rptr As IntPtr, _
    ByRef LDFJAC As Integer, _
    ByVal S_rptr As IntPtr, _
    ByRef IGRADE As Integer, _
    ByRef NITER As Integer, _
    ByRef NF As Integer, _
    ByVal IW_iptr As IntPtr, _
    ByRef LIW As Integer, _
    ByVal W_rptr As IntPtr, _
    ByRef LW As Integer _
  )


   Declare Sub E04GDF Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, ByRef N As Integer, ByVal LSQFUN As E04GDF_LSQFUN_DELEGATE, _
    ByVal LSQMON As E04GDF_LSQMON_DELEGATE, ByRef IPRINT As Integer, ByRef MAXCAL As Integer, _
    ByRef ETA As Double, ByRef XTOL As Double, ByRef STEPMX As Double, _
    ByRef X As Double, ByRef FSUMSQ As Double, ByRef FVEC As Double, _
    ByRef FJAC As Double, ByRef LDFJAC As Integer, ByRef S As Double, _
    ByRef V As Double, ByRef LDV As Integer, ByRef NITER As Integer, _
    ByRef NF As Integer, ByRef IW As Integer, ByRef LIW As Integer, _
    ByRef W As Double, ByRef LW As Integer, ByRef IFAIL As Integer _
   )


  Delegate Sub E04GYF_LSFUN2_DELEGATE( _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByVal XC_rptr As IntPtr, _
    ByVal FVEC_rptr As IntPtr, _
    ByVal FJAC_rptr As IntPtr, _
    ByRef LDFJAC As Integer, _
    ByVal IUSER_iptr As IntPtr, _
    ByVal RUSER_rptr As IntPtr _
  )

   Declare Sub E04GYF Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByVal LSFUN2 As E04GYF_LSFUN2_DELEGATE, _
    ByRef X As Double, _
    ByRef FSUMSQ As Double, _
    ByRef W As Double, _
    ByRef LW As Integer, _
    ByRef IUSER As Integer, _
    ByRef RUSER As Double, _
    ByRef IFAIL As Integer _
   )


  Delegate Sub E04GZF_LSFUN2_DELEGATE( _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByVal XC_rptr As IntPtr, _
    ByVal FVEC_rptr As IntPtr, _
    ByVal FJAC_rptr As IntPtr, _
    ByRef LDFJAC As Integer, _
    ByVal IUSER_iptr As IntPtr, _
    ByVal RUSER_rptr As IntPtr _
  )

   Declare Sub E04GZF Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByVal LSFUN2 As E04GZF_LSFUN2_DELEGATE, _
    ByRef X As Double, _
    ByRef FSUMSQ As Double, _
    ByRef W As Double, _
    ByRef LW As Integer, _
    ByRef IUSER As Integer, _
    ByRef RUSER As Double, _
    ByRef IFAIL As Integer _
   )


  Delegate Sub E04HCF_FUNCT_DELEGATE( _
    ByRef IFLAG As Integer, _
    ByRef N As Integer, _
    ByVal XC_rptr As IntPtr, _
    ByRef FC As Double, _
    ByVal GC_rptr As IntPtr, _
    ByVal IW_iptr As IntPtr, _
    ByRef LIW As Integer, _
    ByVal W_rptr As IntPtr, _
    ByRef LW As Integer _
  )

   Declare Sub E04HCF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByVal FUNCT As E04HCF_FUNCT_DELEGATE, _
    ByRef X As Double, _
    ByRef F As Double, _
    ByRef G As Double, _
    ByRef IW As Integer, _
    ByRef LIW As Integer, _
    ByRef W As Double, _
    ByRef LW As Integer, _
    ByRef IFAIL As Integer _
   )


  Delegate Sub E04HDF_FUNCT_DELEGATE( _
    ByRef IFLAG As Integer, _
    ByRef N As Integer, _
    ByVal XC_rptr As IntPtr, _
    ByRef FC As Double, _
    ByVal GC_rptr As IntPtr, _
    ByVal IW_iptr As IntPtr, _
    ByRef LIW As Integer, _
    ByVal W_rptr As IntPtr, _
    ByRef LW As Integer _
  )

  Delegate Sub E04HDF_H_DELEGATE( _
    ByRef IFLAG As Integer, _
    ByRef N As Integer, _
    ByVal XC_rptr As IntPtr, _
    ByVal FHESL_rptr As IntPtr, _
    ByRef LH As Integer, _
    ByVal FHESD_rptr As IntPtr, _
    ByVal IW_iptr As IntPtr, _
    ByRef LIW As Integer, _
    ByVal W_rptr As IntPtr, _
    ByRef LW As Integer _
  )

   Declare Sub E04HDF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByVal FUNCT As E04HDF_FUNCT_DELEGATE, _
    ByVal H As E04HDF_H_DELEGATE, _
    ByRef X As Double, _
    ByRef G As Double, _
    ByRef HESL As Double, _
    ByRef LH As Integer, _
    ByRef HESD As Double, _
    ByRef IW As Integer, _
    ByRef LIW As Integer, _
    ByRef W As Double, _
    ByRef LW As Integer, _
    ByRef IFAIL As Integer _
   )


  Delegate Sub E04HEF_LSQFUN_DELEGATE( _
    ByRef IFLAG As Integer, _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByVal XC_rptr As IntPtr, _
    ByVal FVEC_rptr As IntPtr, _
    ByVal FJAC_rptr As IntPtr, _
    ByRef LDFJAC As Integer, _
    ByVal IW_iptr As IntPtr, _
    ByRef LIW As Integer, _
    ByVal W_rptr As IntPtr, _
    ByRef LW As Integer _
  )

  Delegate Sub E04HEF_LSQHES_DELEGATE( _
    ByRef IFLAG As Integer, _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByVal FVEC_rptr As IntPtr, _
    ByVal XC_rptr As IntPtr, _
    ByVal B_rptr As IntPtr, _
    ByRef LB As Integer, _
    ByVal IW_iptr As IntPtr, _
    ByRef LIW As Integer, _
    ByVal W_rptr As IntPtr, _
    ByRef LW As Integer _
  )

  Delegate Sub E04HEF_LSQMON_DELEGATE( _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByVal XC_rptr As IntPtr, _
    ByVal FVEC_rptr As IntPtr, _
    ByVal FJAC_rptr As IntPtr, _
    ByRef LDFJAC As Integer, _
    ByVal S_rptr As IntPtr, _
    ByRef IGRADE As Integer, _
    ByRef NITER As Integer, _
    ByRef NF As Integer, _
    ByVal IW_iptr As IntPtr, _
    ByRef LIW As Integer, _
    ByVal W_rptr As IntPtr, _
    ByRef LW As Integer _
  )


   Declare Sub E04HEF Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, ByRef N As Integer, ByVal LSQFUN As E04HEF_LSQFUN_DELEGATE, _
    ByVal LSQHES As E04HEF_LSQHES_DELEGATE, ByVal LSQMON As E04HEF_LSQMON_DELEGATE, ByRef IPRINT As Integer, _
    ByRef MAXCAL As Integer, ByRef ETA As Double, ByRef XTOL As Double, _
    ByRef STEPMX As Double, ByRef X As Double, ByRef FSUMSQ As Double, _
    ByRef FVEC As Double, ByRef FJAC As Double, ByRef LDFJAC As Integer, _
    ByRef S As Double, ByRef V As Double, ByRef LDV As Integer, _
    ByRef NITER As Integer, ByRef NF As Integer, ByRef IW As Integer, _
    ByRef LIW As Integer, ByRef W As Double, ByRef LW As Integer, _
    ByRef IFAIL As Integer _
   )


  Delegate Sub E04HYF_LSFUN2_DELEGATE( _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByVal XC_rptr As IntPtr, _
    ByVal FVEC_rptr As IntPtr, _
    ByVal FJAC_rptr As IntPtr, _
    ByRef LDFJAC As Integer, _
    ByVal IUSER_iptr As IntPtr, _
    ByVal RUSER_rptr As IntPtr _
  )

  Delegate Sub E04HYF_LSHES2_DELEGATE( _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByVal FVEC_rptr As IntPtr, _
    ByVal XC_rptr As IntPtr, _
    ByVal B_rptr As IntPtr, _
    ByRef LB As Integer, _
    ByVal IUSER_iptr As IntPtr, _
    ByVal RUSER_rptr As IntPtr _
  )

   Declare Sub E04HYF Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByVal LSFUN2 As E04HYF_LSFUN2_DELEGATE, _
    ByVal LSHES2 As E04HYF_LSHES2_DELEGATE, _
    ByRef X As Double, _
    ByRef FSUMSQ As Double, _
    ByRef W As Double, _
    ByRef LW As Integer, _
    ByRef IUSER As Integer, _
    ByRef RUSER As Double, _
    ByRef IFAIL As Integer _
   )


  Delegate Sub E04JYF_FUNCT1_DELEGATE( _
    ByRef N As Integer, _
    ByVal XC_rptr As IntPtr, _
    ByRef FC As Double, _
    ByVal IUSER_iptr As IntPtr, _
    ByVal RUSER_rptr As IntPtr _
  )

   Declare Sub E04JYF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef IBOUND As Integer, _
    ByVal FUNCT1 As E04JYF_FUNCT1_DELEGATE, _
    ByRef BL As Double, _
    ByRef BU As Double, _
    ByRef X As Double, _
    ByRef F As Double, _
    ByRef IW As Integer, _
    ByRef LIW As Integer, _
    ByRef W As Double, _
    ByRef LW As Integer, _
    ByRef IUSER As Integer, _
    ByRef RUSER As Double, _
    ByRef IFAIL As Integer _
   )


  Delegate Sub E04KDF_FUNCT_DELEGATE( _
    ByRef IFLAG As Integer, _
    ByRef N As Integer, _
    ByVal XC_rptr As IntPtr, _
    ByRef FC As Double, _
    ByVal GC_rptr As IntPtr, _
    ByVal IW_iptr As IntPtr, _
    ByRef LIW As Integer, _
    ByVal W_rptr As IntPtr, _
    ByRef LW As Integer _
  )

  Delegate Sub E04KDF_MONIT_DELEGATE( _
    ByRef N As Integer, _
    ByVal XC_rptr As IntPtr, _
    ByRef FC As Double, _
    ByVal GC_rptr As IntPtr, _
    ByVal ISTATE_iptr As IntPtr, _
    ByRef GPJNRM As Double, _
    ByRef COND As Double, _
    ByRef POSDEF As Integer, _
    ByRef NITER As Integer, _
    ByRef NF As Integer, _
    ByVal IW_iptr As IntPtr, _
    ByRef LIW As Integer, _
    ByVal W_rptr As IntPtr, _
    ByRef LW As Integer _
  )

   Declare Sub E04KDF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, ByVal FUNCT As E04KDF_FUNCT_DELEGATE, ByVal MONIT As E04KDF_MONIT_DELEGATE, _
    ByRef IPRINT As Integer, ByRef MAXCAL As Integer, ByRef ETA As Double, _
    ByRef XTOL As Double, ByRef DELTA As Double, ByRef STEPMX As Double, _
    ByRef IBOUND As Integer, ByRef BL As Double, ByRef BU As Double, _
    ByRef X As Double, ByRef HESL As Double, ByRef LH As Integer, _
    ByRef HESD As Double, ByRef ISTATE As Integer, ByRef F As Double, _
    ByRef G As Double, ByRef IW As Integer, ByRef LIW As Integer, _
    ByRef W As Double, ByRef LW As Integer, ByRef IFAIL As Integer _
   )


  Delegate Sub E04KYF_FUNCT2_DELEGATE( _
    ByRef N As Integer, _
    ByVal XC_rptr As IntPtr, _
    ByRef FC As Double, _
    ByVal GC_rptr As IntPtr, _
    ByVal IUSER_iptr As IntPtr, _
    ByVal RUSER_rptr As IntPtr _
  )

   Declare Sub E04KYF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef IBOUND As Integer, _
    ByVal FUNCT2 As E04KYF_FUNCT2_DELEGATE, _
    ByRef BL As Double, _
    ByRef BU As Double, _
    ByRef X As Double, _
    ByRef F As Double, _
    ByRef G As Double, _
    ByRef IW As Integer, _
    ByRef LIW As Integer, _
    ByRef W As Double, _
    ByRef LW As Integer, _
    ByRef IUSER As Integer, _
    ByRef RUSER As Double, _
    ByRef IFAIL As Integer _
   )


  Delegate Sub E04KZF_FUNCT2_DELEGATE( _
    ByRef N As Integer, _
    ByVal XC_rptr As IntPtr, _
    ByRef FC As Double, _
    ByVal GC_rptr As IntPtr, _
    ByVal IUSER_iptr As IntPtr, _
    ByVal RUSER_rptr As IntPtr _
  )

   Declare Sub E04KZF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef IBOUND As Integer, _
    ByVal FUNCT2 As E04KZF_FUNCT2_DELEGATE, _
    ByRef BL As Double, _
    ByRef BU As Double, _
    ByRef X As Double, _
    ByRef F As Double, _
    ByRef G As Double, _
    ByRef IW As Integer, _
    ByRef LIW As Integer, _
    ByRef W As Double, _
    ByRef LW As Integer, _
    ByRef IUSER As Integer, _
    ByRef RUSER As Double, _
    ByRef IFAIL As Integer _
   )


  Delegate Sub E04LBF_FUNCT_DELEGATE( _
    ByRef IFLAG As Integer, _
    ByRef N As Integer, _
    ByVal XC_rptr As IntPtr, _
    ByRef FC As Double, _
    ByVal GC_rptr As IntPtr, _
    ByVal IW_iptr As IntPtr, _
    ByRef LIW As Integer, _
    ByVal W_rptr As IntPtr, _
    ByRef LW As Integer _
  )

  Delegate Sub E04LBF_H_DELEGATE( _
    ByRef IFLAG As Integer, _
    ByRef N As Integer, _
    ByVal XC_rptr As IntPtr, _
    ByVal FHESL_rptr As IntPtr, _
    ByRef LH As Integer, _
    ByVal FHESD_rptr As IntPtr, _
    ByVal IW_iptr As IntPtr, _
    ByRef LIW As Integer, _
    ByVal W_rptr As IntPtr, _
    ByRef LW As Integer _
  )

  Delegate Sub E04LBF_MONIT_DELEGATE( _
    ByRef N As Integer, _
    ByVal XC_rptr As IntPtr, _
    ByRef FC As Double, _
    ByVal GC_rptr As IntPtr, _
    ByVal ISTATE_iptr As IntPtr, _
    ByRef GPJNRM As Double, _
    ByRef COND As Double, _
    ByRef POSDEF As Integer, _
    ByRef NITER As Integer, _
    ByRef NF As Integer, _
    ByVal IW_iptr As IntPtr, _
    ByRef LIW As Integer, _
    ByVal W_rptr As IntPtr, _
    ByRef LW As Integer _
  )

   Declare Sub E04LBF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, ByVal FUNCT As E04LBF_FUNCT_DELEGATE, ByVal H As E04LBF_H_DELEGATE, _
    ByVal MONIT As E04LBF_MONIT_DELEGATE, ByRef IPRINT As Integer, ByRef MAXCAL As Integer, _
    ByRef ETA As Double, ByRef XTOL As Double, ByRef STEPMX As Double, _
    ByRef IBOUND As Integer, ByRef BL As Double, ByRef BU As Double, _
    ByRef X As Double, ByRef HESL As Double, ByRef LH As Integer, _
    ByRef HESD As Double, ByRef ISTATE As Integer, ByRef F As Double, _
    ByRef G As Double, ByRef IW As Integer, ByRef LIW As Integer, _
    ByRef W As Double, ByRef LW As Integer, ByRef IFAIL As Integer _
   )


  Delegate Sub E04LYF_FUNCT2_DELEGATE( _
    ByRef N As Integer, _
    ByVal XC_rptr As IntPtr, _
    ByRef FC As Double, _
    ByVal GC_rptr As IntPtr, _
    ByVal IUSER_iptr As IntPtr, _
    ByVal RUSER_rptr As IntPtr _
  )

  Delegate Sub E04LYF_HESS2_DELEGATE( _
    ByRef N As Integer, _
    ByVal XC_rptr As IntPtr, _
    ByVal HESLC_rptr As IntPtr, _
    ByRef LH As Integer, _
    ByVal HESDC_rptr As IntPtr, _
    ByVal IUSER_iptr As IntPtr, _
    ByVal RUSER_rptr As IntPtr _
  )

   Declare Sub E04LYF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef IBOUND As Integer, _
    ByVal FUNCT2 As E04LYF_FUNCT2_DELEGATE, _
    ByVal HESS2 As E04LYF_HESS2_DELEGATE, _
    ByRef BL As Double, _
    ByRef BU As Double, _
    ByRef X As Double, _
    ByRef F As Double, _
    ByRef G As Double, _
    ByRef IW As Integer, _
    ByRef LIW As Integer, _
    ByRef W As Double, _
    ByRef LW As Integer, _
    ByRef IUSER As Integer, _
    ByRef RUSER As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub E04MFA Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, ByRef NCLIN As Integer, ByRef A As Double, _
    ByRef LDA As Integer, ByRef BL As Double, ByRef BU As Double, _
    ByRef CVEC As Double, ByRef ISTATE As Integer, ByRef X As Double, _
    ByRef ITER As Integer, ByRef OBJ As Double, ByRef AX As Double, _
    ByRef CLAMDA As Double, ByRef IWORK As Integer, ByRef LIWORK As Integer, _
    ByRef WORK As Double, ByRef LWORK As Integer, ByRef LWSAV As Integer, _
    ByRef IWSAV As Integer, ByRef RWSAV As Double, ByRef IFAIL As Integer _
   )

   Declare Sub E04MFF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef NCLIN As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef BL As Double, _
    ByRef BU As Double, _
    ByRef CVEC As Double, _
    ByRef ISTATE As Integer, _
    ByRef X As Double, _
    ByRef ITER As Integer, _
    ByRef OBJ As Double, _
    ByRef AX As Double, _
    ByRef CLAMDA As Double, _
    ByRef IWORK As Integer, _
    ByRef LIWORK As Integer, _
    ByRef WORK As Double, _
    ByRef LWORK As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub E04MGA Lib "FLDLL224M_nag.dll" ( _
    ByRef IOPTNS As Integer, _
    ByRef LWSAV As Integer, _
    ByRef IWSAV As Integer, _
    ByRef RWSAV As Double, _
    ByRef INFORM As Integer _
   )

   Declare Sub E04MGF Lib "FLDLL224M_nag.dll" ( _
    ByRef IOPTNS As Integer, _
    ByRef INFORM As Integer _
   )


   Declare Sub E04MHA Lib "FLDLL224M_nag.dll" ( _
    ByVal STR As string, ByVal STRLength As Integer, _
    ByRef LWSAV As Integer, _
    ByRef IWSAV As Integer, _
    ByRef RWSAV As Double, _
    ByRef INFORM As Integer _
   )

   Declare Sub E04MHF Lib "FLDLL224M_nag.dll" ( _
    ByVal STR As string, ByVal STRLength As Integer _
   )


   Declare Sub E04MZF Lib "FLDLL224M_nag.dll" ( _
    ByRef INFILE As Integer, ByRef MAXN As Integer, ByRef MAXM As Integer, _
    ByRef MAXNNZ As Integer, ByRef XBLDEF As Double, ByRef XBUDEF As Double, _
    ByRef MPSLST As Integer, ByRef N As Integer, ByRef M As Integer, _
    ByRef NNZ As Integer, ByRef IOBJ As Integer, ByRef NCOLH As Integer, _
    ByRef A As Double, ByRef HA As Integer, ByRef KA As Integer, _
    ByRef BL As Double, ByRef BU As Double, ByVal START As string, ByVal STARTLength As Integer, _
    ByVal NAMES As string, ByVal NAMESLength As Integer, ByRef NNAME As Integer, ByVal CRNAME As string, ByVal CRNAMELength As Integer, _
    ByRef XS As Double, ByRef ISTATE As Integer, ByRef IFAIL As Integer _
   )


   Declare Sub E04NCA Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, ByRef N As Integer, ByRef NCLIN As Integer, _
    ByRef LDC As Integer, ByRef LDA As Integer, ByRef C As Double, _
    ByRef BL As Double, ByRef BU As Double, ByRef CVEC As Double, _
    ByRef ISTATE As Integer, ByRef KX As Integer, ByRef X As Double, _
    ByRef A As Double, ByRef B As Double, ByRef ITER As Integer, _
    ByRef OBJ As Double, ByRef CLAMDA As Double, ByRef IWORK As Integer, _
    ByRef LIWORK As Integer, ByRef WORK As Double, ByRef LWORK As Integer, _
    ByRef LWSAV As Integer, ByRef IWSAV As Integer, ByRef RWSAV As Double, _
    ByRef IFAIL As Integer _
   )

   Declare Sub E04NCF Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, ByRef N As Integer, ByRef NCLIN As Integer, _
    ByRef LDC As Integer, ByRef LDA As Integer, ByRef C As Double, _
    ByRef BL As Double, ByRef BU As Double, ByRef CVEC As Double, _
    ByRef ISTATE As Integer, ByRef KX As Integer, ByRef X As Double, _
    ByRef A As Double, ByRef B As Double, ByRef ITER As Integer, _
    ByRef OBJ As Double, ByRef CLAMDA As Double, ByRef IWORK As Integer, _
    ByRef LIWORK As Integer, ByRef WORK As Double, ByRef LWORK As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub E04NDA Lib "FLDLL224M_nag.dll" ( _
    ByRef IOPTNS As Integer, _
    ByRef LWSAV As Integer, _
    ByRef IWSAV As Integer, _
    ByRef RWSAV As Double, _
    ByRef INFORM As Integer _
   )

   Declare Sub E04NDF Lib "FLDLL224M_nag.dll" ( _
    ByRef IOPTNS As Integer, _
    ByRef INFORM As Integer _
   )


   Declare Sub E04NEA Lib "FLDLL224M_nag.dll" ( _
    ByVal STR As string, ByVal STRLength As Integer, _
    ByRef LWSAV As Integer, _
    ByRef IWSAV As Integer, _
    ByRef RWSAV As Double, _
    ByRef INFORM As Integer _
   )

   Declare Sub E04NEF Lib "FLDLL224M_nag.dll" ( _
    ByVal STR As string, ByVal STRLength As Integer _
   )


  Delegate Sub E04NFA_QPHESS_DELEGATE( _
    ByRef N As Integer, _
    ByRef JTHCOL As Integer, _
    ByVal H_rptr As IntPtr, _
    ByRef LDH As Integer, _
    ByVal X_rptr As IntPtr, _
    ByVal HX_rptr As IntPtr, _
    ByVal IUSER_iptr As IntPtr, _
    ByVal RUSER_rptr As IntPtr, _
    ByVal IWSAV_iptr As IntPtr _
  )

   Declare Sub E54NFU Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef JTHCOL As Integer, _
    ByVal H_rptr As IntPtr, _
    ByRef LDH As Integer, _
    ByVal X_rptr As IntPtr, _
    ByVal HX_rptr As IntPtr, _
    ByVal IUSER_iptr As IntPtr, _
    ByVal RUSER_rptr As IntPtr, _
    ByVal IWSAV_iptr As IntPtr _
  )

   Declare Sub E04NFA Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, ByRef NCLIN As Integer, ByRef A As Double, _
    ByRef LDA As Integer, ByRef BL As Double, ByRef BU As Double, _
    ByRef CVEC As Double, ByRef H As Double, ByRef LDH As Integer, _
    ByVal QPHESS As E04NFF_QPHESS_DELEGATE, ByRef ISTATE As Integer, ByRef X As Double, _
    ByRef ITER As Integer, ByRef OBJ As Double, ByRef AX As Double, _
    ByRef CLAMDA As Double, ByRef IWORK As Integer, ByRef LIWORK As Integer, _
    ByRef WORK As Double, ByRef LWORK As Integer, ByRef IUSER As Integer, _
    ByRef RUSER As Double, ByRef LWSAV As Integer, ByRef IWSAV As Integer, _
    ByRef RWSAV As Double, ByRef IFAIL As Integer _
   )

  Delegate Sub E04NFF_QPHESS_DELEGATE( _
    ByRef N As Integer, _
    ByRef JTHCOL As Integer, _
    ByVal H_rptr As IntPtr, _
    ByRef LDH As Integer, _
    ByVal X_rptr As IntPtr, _
    ByVal HX_rptr As IntPtr _
  )

   Declare Sub E04NFU Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef JTHCOL As Integer, _
    ByVal H_rptr As IntPtr, _
    ByRef LDH As Integer, _
    ByVal X_rptr As IntPtr, _
    ByVal HX_rptr As IntPtr _
  )

   Declare Sub E04NFF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, ByRef NCLIN As Integer, ByRef A As Double, _
    ByRef LDA As Integer, ByRef BL As Double, ByRef BU As Double, _
    ByRef CVEC As Double, ByRef H As Double, ByRef LDH As Integer, _
    ByVal QPHESS As E04NFF_QPHESS_DELEGATE, ByRef ISTATE As Integer, ByRef X As Double, _
    ByRef ITER As Integer, ByRef OBJ As Double, ByRef AX As Double, _
    ByRef CLAMDA As Double, ByRef IWORK As Integer, ByRef LIWORK As Integer, _
    ByRef WORK As Double, ByRef LWORK As Integer, ByRef IFAIL As Integer _
   )


   Declare Sub E04NGA Lib "FLDLL224M_nag.dll" ( _
    ByRef IOPTNS As Integer, _
    ByRef LWSAV As Integer, _
    ByRef IWSAV As Integer, _
    ByRef RWSAV As Double, _
    ByRef INFORM As Integer _
   )

   Declare Sub E04NGF Lib "FLDLL224M_nag.dll" ( _
    ByRef IOPTNS As Integer, _
    ByRef INFORM As Integer _
   )


   Declare Sub E04NHA Lib "FLDLL224M_nag.dll" ( _
    ByVal STR As string, ByVal STRLength As Integer, _
    ByRef LWSAV As Integer, _
    ByRef IWSAV As Integer, _
    ByRef RWSAV As Double, _
    ByRef INFORM As Integer _
   )

   Declare Sub E04NHF Lib "FLDLL224M_nag.dll" ( _
    ByVal STR As string, ByVal STRLength As Integer _
   )


  Delegate Sub E04NKA_QPHX_DELEGATE( _
    ByRef NSTATE As Integer, _
    ByRef NCOLH As Integer, _
    ByVal X_rptr As IntPtr, _
    ByVal HX_rptr As IntPtr, _
    ByVal IUSER_iptr As IntPtr, _
    ByVal RUSER_rptr As IntPtr _
  )

   Declare Sub E54NKU Lib "FLDLL224M_nag.dll" ( _
    ByRef NSTATE As Integer, _
    ByRef NCOLH As Integer, _
    ByVal X_rptr As IntPtr, _
    ByVal HX_rptr As IntPtr, _
    ByVal IUSER_iptr As IntPtr, _
    ByVal RUSER_rptr As IntPtr _
  )

   Declare Sub E04NKA Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, ByRef M As Integer, ByRef NNZ As Integer, _
    ByRef IOBJ As Integer, ByRef NCOLH As Integer, ByVal QPHX As E04NKF_QPHX_DELEGATE, _
    ByRef A As Double, ByRef HA As Integer, ByRef KA As Integer, _
    ByRef BL As Double, ByRef BU As Double, ByVal START As string, ByVal STARTLength As Integer, _
    ByVal NAMES As string, ByVal NAMESLength As Integer, ByRef NNAME As Integer, ByVal CRNAME As string, ByVal CRNAMELength As Integer, _
    ByRef NS As Integer, ByRef XS As Double, ByRef ISTATE As Integer, _
    ByRef MINIZ As Integer, ByRef MINZ As Integer, ByRef NINF As Integer, _
    ByRef SINF As Double, ByRef OBJ As Double, ByRef CLAMDA As Double, _
    ByRef IZ As Integer, ByRef LENIZ As Integer, ByRef Z As Double, _
    ByRef LENZ As Integer, ByRef IUSER As Integer, ByRef RUSER As Double, _
    ByRef LWSAV As Integer, ByRef IWSAV As Integer, ByRef RWSAV As Double, _
    ByRef IFAIL As Integer _
   )

  Delegate Sub E04NKF_QPHX_DELEGATE( _
    ByRef NSTATE As Integer, _
    ByRef NCOLH As Integer, _
    ByVal X_rptr As IntPtr, _
    ByVal HX_rptr As IntPtr _
  )

   Declare Sub E04NKU Lib "FLDLL224M_nag.dll" ( _
    ByRef NSTATE As Integer, _
    ByRef NCOLH As Integer, _
    ByVal X_rptr As IntPtr, _
    ByVal HX_rptr As IntPtr _
  )

   Declare Sub E04NKF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, ByRef M As Integer, ByRef NNZ As Integer, _
    ByRef IOBJ As Integer, ByRef NCOLH As Integer, ByVal QPHX As E04NKF_QPHX_DELEGATE, _
    ByRef A As Double, ByRef HA As Integer, ByRef KA As Integer, _
    ByRef BL As Double, ByRef BU As Double, ByVal START As string, ByVal STARTLength As Integer, _
    ByVal NAMES As string, ByVal NAMESLength As Integer, ByRef NNAME As Integer, ByVal CRNAME As string, ByVal CRNAMELength As Integer, _
    ByRef NS As Integer, ByRef XS As Double, ByRef ISTATE As Integer, _
    ByRef MINIZ As Integer, ByRef MINZ As Integer, ByRef NINF As Integer, _
    ByRef SINF As Double, ByRef OBJ As Double, ByRef CLAMDA As Double, _
    ByRef IZ As Integer, ByRef LENIZ As Integer, ByRef Z As Double, _
    ByRef LENZ As Integer, ByRef IFAIL As Integer _
   )


   Declare Sub E04NLA Lib "FLDLL224M_nag.dll" ( _
    ByRef IOPTNS As Integer, _
    ByRef LWSAV As Integer, _
    ByRef IWSAV As Integer, _
    ByRef RWSAV As Double, _
    ByRef INFORM As Integer _
   )

   Declare Sub E04NLF Lib "FLDLL224M_nag.dll" ( _
    ByRef IOPTNS As Integer, _
    ByRef INFORM As Integer _
   )


   Declare Sub E04NMA Lib "FLDLL224M_nag.dll" ( _
    ByVal STR As string, ByVal STRLength As Integer, _
    ByRef LWSAV As Integer, _
    ByRef IWSAV As Integer, _
    ByRef RWSAV As Double, _
    ByRef INFORM As Integer _
   )

   Declare Sub E04NMF Lib "FLDLL224M_nag.dll" ( _
    ByVal STR As string, ByVal STRLength As Integer _
   )


   Declare Sub E04NPF Lib "FLDLL224M_nag.dll" ( _
    ByVal CW As string, ByVal CWLength As Integer, _
    ByRef LENCW As Integer, _
    ByRef IW As Integer, _
    ByRef LENIW As Integer, _
    ByRef RW As Double, _
    ByRef LENRW As Integer, _
    ByRef IFAIL As Integer _
   )


  Delegate Sub E04NQF_QPHX_DELEGATE( _
    ByRef NCOLH As Integer, _
    ByVal X_rptr As IntPtr, _
    ByVal HX_rptr As IntPtr, _
    ByRef NSTATE As Integer, _
    ByVal CUSER_chptr As IntPtr, ByVal CUSER_chptrLength As Integer, _
    ByVal IUSER_iptr As IntPtr, _
    ByVal RUSER_rptr As IntPtr _
  )

   Declare Sub E04NSH Lib "FLDLL224M_nag.dll" ( _
    ByRef NCOLH As Integer, _
    ByVal X_rptr As IntPtr, _
    ByVal HX_rptr As IntPtr, _
    ByRef NSTATE As Integer, _
    ByVal CUSER_chptr As IntPtr, ByVal CUSER_chptrLength As Integer, _
    ByVal IUSER_iptr As IntPtr, _
    ByVal RUSER_rptr As IntPtr _
  )

   Declare Sub E04NQF Lib "FLDLL224M_nag.dll" ( _
    ByVal START As string, ByVal STARTLength As Integer, ByVal QPHX As E04NQF_QPHX_DELEGATE, ByRef M As Integer, _
    ByRef N As Integer, ByRef NE As Integer, ByRef NNAME As Integer, _
    ByRef LENC As Integer, ByRef NCOLH As Integer, ByRef IOBJ As Integer, _
    ByRef OBJADD As Double, ByVal PROB As string, ByVal PROBLength As Integer, ByRef ACOL As Double, _
    ByRef INDA As Integer, ByRef LOCA As Integer, ByRef BL As Double, _
    ByRef BU As Double, ByRef C As Double, ByVal NAMES As string, ByVal NAMESLength As Integer, _
    ByRef HELAST As Integer, ByRef HS As Integer, ByRef X As Double, _
    ByRef PI As Double, ByRef RC As Double, ByRef NS As Integer, _
    ByRef NINF As Integer, ByRef SINF As Double, ByRef OBJ As Double, _
    ByVal CW As string, ByVal CWLength As Integer, ByRef LENCW As Integer, ByRef IW As Integer, _
    ByRef LENIW As Integer, ByRef RW As Double, ByRef LENRW As Integer, _
    ByVal CUSER As string, ByVal CUSERLength As Integer, ByRef IUSER As Integer, ByRef RUSER As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub E04NRF Lib "FLDLL224M_nag.dll" ( _
    ByRef ISPECS As Integer, _
    ByVal CW As string, ByVal CWLength As Integer, _
    ByRef IW As Integer, _
    ByRef RW As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub E04NSF Lib "FLDLL224M_nag.dll" ( _
    ByVal ST As string, ByVal STLength As Integer, _
    ByVal CW As string, ByVal CWLength As Integer, _
    ByRef IW As Integer, _
    ByRef RW As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub E04NTF Lib "FLDLL224M_nag.dll" ( _
    ByVal ST As string, ByVal STLength As Integer, _
    ByRef IVALUE As Integer, _
    ByVal CW As string, ByVal CWLength As Integer, _
    ByRef IW As Integer, _
    ByRef RW As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub E04NUF Lib "FLDLL224M_nag.dll" ( _
    ByVal ST As string, ByVal STLength As Integer, _
    ByRef RVALUE As Double, _
    ByVal CW As string, ByVal CWLength As Integer, _
    ByRef IW As Integer, _
    ByRef RW As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub E04NXF Lib "FLDLL224M_nag.dll" ( _
    ByVal ST As string, ByVal STLength As Integer, _
    ByRef IVALUE As Integer, _
    ByVal CW As string, ByVal CWLength As Integer, _
    ByRef IW As Integer, _
    ByRef RW As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub E04NYF Lib "FLDLL224M_nag.dll" ( _
    ByVal ST As string, ByVal STLength As Integer, _
    ByRef RVALUE As Double, _
    ByVal CW As string, ByVal CWLength As Integer, _
    ByRef IW As Integer, _
    ByRef RW As Double, _
    ByRef IFAIL As Integer _
   )


  Delegate Sub E04UCA_CONFUN_DELEGATE( _
    ByRef MODE As Integer, _
    ByRef NCNLN As Integer, _
    ByRef N As Integer, _
    ByRef LDCJ As Integer, _
    ByVal NEEDC_iptr As IntPtr, _
    ByVal X_rptr As IntPtr, _
    ByVal C_rptr As IntPtr, _
    ByVal CJAC_rptr As IntPtr, _
    ByRef NSTATE As Integer, _
    ByVal IUSER_iptr As IntPtr, _
    ByVal RUSER_rptr As IntPtr _
  )

   Declare Sub E54UDM Lib "FLDLL224M_nag.dll" ( _
    ByRef MODE As Integer, _
    ByRef NCNLN As Integer, _
    ByRef N As Integer, _
    ByRef LDCJ As Integer, _
    ByVal NEEDC_iptr As IntPtr, _
    ByVal X_rptr As IntPtr, _
    ByVal C_rptr As IntPtr, _
    ByVal CJAC_rptr As IntPtr, _
    ByRef NSTATE As Integer, _
    ByVal IUSER_iptr As IntPtr, _
    ByVal RUSER_rptr As IntPtr _
  )

  Delegate Sub E04UCA_OBJFUN_DELEGATE( _
    ByRef MODE As Integer, _
    ByRef N As Integer, _
    ByVal X_rptr As IntPtr, _
    ByRef OBJF As Double, _
    ByVal OBJGRD_rptr As IntPtr, _
    ByRef NSTATE As Integer, _
    ByVal IUSER_iptr As IntPtr, _
    ByVal RUSER_rptr As IntPtr _
  )

   Declare Sub E04UCA Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, ByRef NCLIN As Integer, ByRef NCNLN As Integer, _
    ByRef LDA As Integer, ByRef LDCJ As Integer, ByRef LDR As Integer, _
    ByRef A As Double, ByRef BL As Double, ByRef BU As Double, _
    ByVal CONFUN As E04UCF_CONFUN_DELEGATE, ByVal OBJFUN As E04UCF_OBJFUN_DELEGATE, ByRef ITER As Integer, _
    ByRef ISTATE As Integer, ByRef C As Double, ByRef CJAC As Double, _
    ByRef CLAMDA As Double, ByRef OBJF As Double, ByRef OBJGRD As Double, _
    ByRef R As Double, ByRef X As Double, ByRef IWORK As Integer, _
    ByRef LIWORK As Integer, ByRef WORK As Double, ByRef LWORK As Integer, _
    ByRef IUSER As Integer, ByRef RUSER As Double, ByRef LWSAV As Integer, _
    ByRef IWSAV As Integer, ByRef RWSAV As Double, ByRef IFAIL As Integer _
   )

  Delegate Sub E04UCF_CONFUN_DELEGATE( _
    ByRef MODE As Integer, _
    ByRef NCNLN As Integer, _
    ByRef N As Integer, _
    ByRef LDCJ As Integer, _
    ByVal NEEDC_iptr As IntPtr, _
    ByVal X_rptr As IntPtr, _
    ByVal C_rptr As IntPtr, _
    ByVal CJAC_rptr As IntPtr, _
    ByRef NSTATE As Integer, _
    ByVal IUSER_iptr As IntPtr, _
    ByVal RUSER_rptr As IntPtr _
  )

   Declare Sub E04UDM Lib "FLDLL224M_nag.dll" ( _
    ByRef MODE As Integer, _
    ByRef NCNLN As Integer, _
    ByRef N As Integer, _
    ByRef LDCJ As Integer, _
    ByVal NEEDC_iptr As IntPtr, _
    ByVal X_rptr As IntPtr, _
    ByVal C_rptr As IntPtr, _
    ByVal CJAC_rptr As IntPtr, _
    ByRef NSTATE As Integer, _
    ByVal IUSER_iptr As IntPtr, _
    ByVal RUSER_rptr As IntPtr _
  )

  Delegate Sub E04UCF_OBJFUN_DELEGATE( _
    ByRef MODE As Integer, _
    ByRef N As Integer, _
    ByVal X_rptr As IntPtr, _
    ByRef OBJF As Double, _
    ByVal OBJGRD_rptr As IntPtr, _
    ByRef NSTATE As Integer, _
    ByVal IUSER_iptr As IntPtr, _
    ByVal RUSER_rptr As IntPtr _
  )

   Declare Sub E04UCF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, ByRef NCLIN As Integer, ByRef NCNLN As Integer, _
    ByRef LDA As Integer, ByRef LDCJ As Integer, ByRef LDR As Integer, _
    ByRef A As Double, ByRef BL As Double, ByRef BU As Double, _
    ByVal CONFUN As E04UCF_CONFUN_DELEGATE, ByVal OBJFUN As E04UCF_OBJFUN_DELEGATE, ByRef ITER As Integer, _
    ByRef ISTATE As Integer, ByRef C As Double, ByRef CJAC As Double, _
    ByRef CLAMDA As Double, ByRef OBJF As Double, ByRef OBJGRD As Double, _
    ByRef R As Double, ByRef X As Double, ByRef IWORK As Integer, _
    ByRef LIWORK As Integer, ByRef WORK As Double, ByRef LWORK As Integer, _
    ByRef IUSER As Integer, ByRef RUSER As Double, ByRef IFAIL As Integer _
   )


   Declare Sub E04UDA Lib "FLDLL224M_nag.dll" ( _
    ByRef IOPTNS As Integer, _
    ByRef LWSAV As Integer, _
    ByRef IWSAV As Integer, _
    ByRef RWSAV As Double, _
    ByRef INFORM As Integer _
   )

   Declare Sub E04UDF Lib "FLDLL224M_nag.dll" ( _
    ByRef IOPTNS As Integer, _
    ByRef INFORM As Integer _
   )


   Declare Sub E04UEA Lib "FLDLL224M_nag.dll" ( _
    ByVal STR As string, ByVal STRLength As Integer, _
    ByRef LWSAV As Integer, _
    ByRef IWSAV As Integer, _
    ByRef RWSAV As Double, _
    ByRef INFORM As Integer _
   )

   Declare Sub E04UEF Lib "FLDLL224M_nag.dll" ( _
    ByVal STR As string, ByVal STRLength As Integer _
   )


   Declare Sub E04UFA Lib "FLDLL224M_nag.dll" ( _
    ByRef IREVCM As Integer, ByRef N As Integer, ByRef NCLIN As Integer, _
    ByRef NCNLN As Integer, ByRef LDA As Integer, ByRef LDCJ As Integer, _
    ByRef LDR As Integer, ByRef A As Double, ByRef BL As Double, _
    ByRef BU As Double, ByRef ITER As Integer, ByRef ISTATE As Integer, _
    ByRef C As Double, ByRef CJAC As Double, ByRef CLAMDA As Double, _
    ByRef OBJF As Double, ByRef OBJGRD As Double, ByRef R As Double, _
    ByRef X As Double, ByRef NEEDC As Integer, ByRef IWORK As Integer, _
    ByRef LIWORK As Integer, ByRef WORK As Double, ByRef LWORK As Integer, _
    ByVal CWSAV As string, ByVal CWSAVLength As Integer, ByRef LWSAV As Integer, ByRef IWSAV As Integer, _
    ByRef RWSAV As Double, ByRef IFAIL As Integer _
   )

   Declare Sub E04UFF Lib "FLDLL224M_nag.dll" ( _
    ByRef IREVCM As Integer, ByRef N As Integer, ByRef NCLIN As Integer, _
    ByRef NCNLN As Integer, ByRef LDA As Integer, ByRef LDCJ As Integer, _
    ByRef LDR As Integer, ByRef A As Double, ByRef BL As Double, _
    ByRef BU As Double, ByRef ITER As Integer, ByRef ISTATE As Integer, _
    ByRef C As Double, ByRef CJAC As Double, ByRef CLAMDA As Double, _
    ByRef OBJF As Double, ByRef OBJGRD As Double, ByRef R As Double, _
    ByRef X As Double, ByRef NEEDC As Integer, ByRef IWORK As Integer, _
    ByRef LIWORK As Integer, ByRef WORK As Double, ByRef LWORK As Integer, _
    ByRef IFAIL As Integer _
   )


  Delegate Sub E04UGA_CONFUN_DELEGATE( _
    ByRef MODE As Integer, _
    ByRef NCNLN As Integer, _
    ByRef NJNLN As Integer, _
    ByRef NNZJAC As Integer, _
    ByVal X_rptr As IntPtr, _
    ByVal F_rptr As IntPtr, _
    ByVal FJAC_rptr As IntPtr, _
    ByRef NSTATE As Integer, _
    ByVal IUSER_iptr As IntPtr, _
    ByVal RUSER_rptr As IntPtr _
  )

   Declare Sub E54UGM Lib "FLDLL224M_nag.dll" ( _
    ByRef MODE As Integer, _
    ByRef NCNLN As Integer, _
    ByRef NJNLN As Integer, _
    ByRef NNZJAC As Integer, _
    ByVal X_rptr As IntPtr, _
    ByVal F_rptr As IntPtr, _
    ByVal FJAC_rptr As IntPtr, _
    ByRef NSTATE As Integer, _
    ByVal IUSER_iptr As IntPtr, _
    ByVal RUSER_rptr As IntPtr _
  )

  Delegate Sub E04UGA_OBJFUN_DELEGATE( _
    ByRef MODE As Integer, _
    ByRef NONLN As Integer, _
    ByVal X_rptr As IntPtr, _
    ByRef OBJF As Double, _
    ByVal OBJGRD_rptr As IntPtr, _
    ByRef NSTATE As Integer, _
    ByVal IUSER_iptr As IntPtr, _
    ByVal RUSER_rptr As IntPtr _
  )

   Declare Sub E54UGN Lib "FLDLL224M_nag.dll" ( _
    ByRef MODE As Integer, _
    ByRef NONLN As Integer, _
    ByVal X_rptr As IntPtr, _
    ByRef OBJF As Double, _
    ByVal OBJGRD_rptr As IntPtr, _
    ByRef NSTATE As Integer, _
    ByVal IUSER_iptr As IntPtr, _
    ByVal RUSER_rptr As IntPtr _
  )

   Declare Sub E04UGA Lib "FLDLL224M_nag.dll" ( _
    ByVal CONFUN As E04UGF_CONFUN_DELEGATE, ByVal OBJFUN As E04UGF_OBJFUN_DELEGATE, ByRef N As Integer, _
    ByRef M As Integer, ByRef NCNLN As Integer, ByRef NONLN As Integer, _
    ByRef NJNLN As Integer, ByRef IOBJ As Integer, ByRef NNZ As Integer, _
    ByRef A As Double, ByRef HA As Integer, ByRef KA As Integer, _
    ByRef BL As Double, ByRef BU As Double, ByVal START As string, ByVal STARTLength As Integer, _
    ByRef NNAME As Integer, ByVal NAMES As string, ByVal NAMESLength As Integer, ByRef NS As Integer, _
    ByRef XS As Double, ByRef ISTATE As Integer, ByRef CLAMDA As Double, _
    ByRef MINIZ As Integer, ByRef MINZ As Integer, ByRef NINF As Integer, _
    ByRef SINF As Double, ByRef OBJ As Double, ByRef IZ As Integer, _
    ByRef LENIZ As Integer, ByRef Z As Double, ByRef LENZ As Integer, _
    ByRef IUSER As Integer, ByRef RUSER As Double, ByRef LWSAV As Integer, _
    ByRef IWSAV As Integer, ByRef RWSAV As Double, ByRef IFAIL As Integer _
   )

  Delegate Sub E04UGF_CONFUN_DELEGATE( _
    ByRef MODE As Integer, _
    ByRef NCNLN As Integer, _
    ByRef NJNLN As Integer, _
    ByRef NNZJAC As Integer, _
    ByVal X_rptr As IntPtr, _
    ByVal F_rptr As IntPtr, _
    ByVal FJAC_rptr As IntPtr, _
    ByRef NSTATE As Integer, _
    ByVal IUSER_iptr As IntPtr, _
    ByVal RUSER_rptr As IntPtr _
  )

   Declare Sub E04UGM Lib "FLDLL224M_nag.dll" ( _
    ByRef MODE As Integer, _
    ByRef NCNLN As Integer, _
    ByRef NJNLN As Integer, _
    ByRef NNZJAC As Integer, _
    ByVal X_rptr As IntPtr, _
    ByVal F_rptr As IntPtr, _
    ByVal FJAC_rptr As IntPtr, _
    ByRef NSTATE As Integer, _
    ByVal IUSER_iptr As IntPtr, _
    ByVal RUSER_rptr As IntPtr _
  )

  Delegate Sub E04UGF_OBJFUN_DELEGATE( _
    ByRef MODE As Integer, _
    ByRef NONLN As Integer, _
    ByVal X_rptr As IntPtr, _
    ByRef OBJF As Double, _
    ByVal OBJGRD_rptr As IntPtr, _
    ByRef NSTATE As Integer, _
    ByVal IUSER_iptr As IntPtr, _
    ByVal RUSER_rptr As IntPtr _
  )

   Declare Sub E04UGN Lib "FLDLL224M_nag.dll" ( _
    ByRef MODE As Integer, _
    ByRef NONLN As Integer, _
    ByVal X_rptr As IntPtr, _
    ByRef OBJF As Double, _
    ByVal OBJGRD_rptr As IntPtr, _
    ByRef NSTATE As Integer, _
    ByVal IUSER_iptr As IntPtr, _
    ByVal RUSER_rptr As IntPtr _
  )

   Declare Sub E04UGF Lib "FLDLL224M_nag.dll" ( _
    ByVal CONFUN As E04UGF_CONFUN_DELEGATE, ByVal OBJFUN As E04UGF_OBJFUN_DELEGATE, ByRef N As Integer, _
    ByRef M As Integer, ByRef NCNLN As Integer, ByRef NONLN As Integer, _
    ByRef NJNLN As Integer, ByRef IOBJ As Integer, ByRef NNZ As Integer, _
    ByRef A As Double, ByRef HA As Integer, ByRef KA As Integer, _
    ByRef BL As Double, ByRef BU As Double, ByVal START As string, ByVal STARTLength As Integer, _
    ByRef NNAME As Integer, ByVal NAMES As string, ByVal NAMESLength As Integer, ByRef NS As Integer, _
    ByRef XS As Double, ByRef ISTATE As Integer, ByRef CLAMDA As Double, _
    ByRef MINIZ As Integer, ByRef MINZ As Integer, ByRef NINF As Integer, _
    ByRef SINF As Double, ByRef OBJ As Double, ByRef IZ As Integer, _
    ByRef LENIZ As Integer, ByRef Z As Double, ByRef LENZ As Integer, _
    ByRef IUSER As Integer, ByRef RUSER As Double, ByRef IFAIL As Integer _
   )


   Declare Sub E04UHA Lib "FLDLL224M_nag.dll" ( _
    ByRef IOPTNS As Integer, _
    ByRef LWSAV As Integer, _
    ByRef IWSAV As Integer, _
    ByRef RWSAV As Double, _
    ByRef INFORM As Integer _
   )

   Declare Sub E04UHF Lib "FLDLL224M_nag.dll" ( _
    ByRef IOPTNS As Integer, _
    ByRef INFORM As Integer _
   )


   Declare Sub E04UJA Lib "FLDLL224M_nag.dll" ( _
    ByVal STR As string, ByVal STRLength As Integer, _
    ByRef LWSAV As Integer, _
    ByRef IWSAV As Integer, _
    ByRef RWSAV As Double, _
    ByRef INFORM As Integer _
   )

   Declare Sub E04UJF Lib "FLDLL224M_nag.dll" ( _
    ByVal STR As string, ByVal STRLength As Integer _
   )


   Declare Sub E04UQA Lib "FLDLL224M_nag.dll" ( _
    ByRef IOPTNS As Integer, _
    ByRef LWSAV As Integer, _
    ByRef IWSAV As Integer, _
    ByRef RWSAV As Double, _
    ByRef INFORM As Integer _
   )

   Declare Sub E04UQF Lib "FLDLL224M_nag.dll" ( _
    ByRef IOPTNS As Integer, _
    ByRef INFORM As Integer _
   )


   Declare Sub E04URA Lib "FLDLL224M_nag.dll" ( _
    ByVal STR As string, ByVal STRLength As Integer, _
    ByRef LWSAV As Integer, _
    ByRef IWSAV As Integer, _
    ByRef RWSAV As Double, _
    ByRef INFORM As Integer _
   )

   Declare Sub E04URF Lib "FLDLL224M_nag.dll" ( _
    ByVal STR As string, ByVal STRLength As Integer _
   )


  Delegate Sub E04USA_CONFUN_DELEGATE( _
    ByRef MODE As Integer, _
    ByRef NCNLN As Integer, _
    ByRef N As Integer, _
    ByRef LDCJ As Integer, _
    ByVal NEEDC_iptr As IntPtr, _
    ByVal X_rptr As IntPtr, _
    ByVal C_rptr As IntPtr, _
    ByVal CJAC_rptr As IntPtr, _
    ByRef NSTATE As Integer, _
    ByVal IUSER_iptr As IntPtr, _
    ByVal RUSER_rptr As IntPtr _
  )


  Delegate Sub E04USA_OBJFUN_DELEGATE( _
    ByRef MODE As Integer, _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef LDFJ As Integer, _
    ByRef NEEDFI As Integer, _
    ByVal X_rptr As IntPtr, _
    ByVal F_rptr As IntPtr, _
    ByVal FJAC_rptr As IntPtr, _
    ByRef NSTATE As Integer, _
    ByVal IUSER_iptr As IntPtr, _
    ByVal RUSER_rptr As IntPtr _
  )

   Declare Sub E04USA Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, ByRef N As Integer, ByRef NCLIN As Integer, _
    ByRef NCNLN As Integer, ByRef LDA As Integer, ByRef LDCJ As Integer, _
    ByRef LDFJ As Integer, ByRef LDR As Integer, ByRef A As Double, _
    ByRef BL As Double, ByRef BU As Double, ByRef Y As Double, _
    ByVal CONFUN As E04USF_CONFUN_DELEGATE, ByVal OBJFUN As E04USF_OBJFUN_DELEGATE, ByRef ITER As Integer, _
    ByRef ISTATE As Integer, ByRef C As Double, ByRef CJAC As Double, _
    ByRef F As Double, ByRef FJAC As Double, ByRef CLAMDA As Double, _
    ByRef OBJF As Double, ByRef R As Double, ByRef X As Double, _
    ByRef IWORK As Integer, ByRef LIWORK As Integer, ByRef WORK As Double, _
    ByRef LWORK As Integer, ByRef IUSER As Integer, ByRef RUSER As Double, _
    ByRef LWSAV As Integer, ByRef IWSAV As Integer, ByRef RWSAV As Double, _
    ByRef IFAIL As Integer _
   )

  Delegate Sub E04USF_CONFUN_DELEGATE( _
    ByRef MODE As Integer, _
    ByRef NCNLN As Integer, _
    ByRef N As Integer, _
    ByRef LDCJ As Integer, _
    ByVal NEEDC_iptr As IntPtr, _
    ByVal X_rptr As IntPtr, _
    ByVal C_rptr As IntPtr, _
    ByVal CJAC_rptr As IntPtr, _
    ByRef NSTATE As Integer, _
    ByVal IUSER_iptr As IntPtr, _
    ByVal RUSER_rptr As IntPtr _
  )


  Delegate Sub E04USF_OBJFUN_DELEGATE( _
    ByRef MODE As Integer, _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef LDFJ As Integer, _
    ByRef NEEDFI As Integer, _
    ByVal X_rptr As IntPtr, _
    ByVal F_rptr As IntPtr, _
    ByVal FJAC_rptr As IntPtr, _
    ByRef NSTATE As Integer, _
    ByVal IUSER_iptr As IntPtr, _
    ByVal RUSER_rptr As IntPtr _
  )

   Declare Sub E04USF Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, ByRef N As Integer, ByRef NCLIN As Integer, _
    ByRef NCNLN As Integer, ByRef LDA As Integer, ByRef LDCJ As Integer, _
    ByRef LDFJ As Integer, ByRef LDR As Integer, ByRef A As Double, _
    ByRef BL As Double, ByRef BU As Double, ByRef Y As Double, _
    ByVal CONFUN As E04USF_CONFUN_DELEGATE, ByVal OBJFUN As E04USF_OBJFUN_DELEGATE, ByRef ITER As Integer, _
    ByRef ISTATE As Integer, ByRef C As Double, ByRef CJAC As Double, _
    ByRef F As Double, ByRef FJAC As Double, ByRef CLAMDA As Double, _
    ByRef OBJF As Double, ByRef R As Double, ByRef X As Double, _
    ByRef IWORK As Integer, ByRef LIWORK As Integer, ByRef WORK As Double, _
    ByRef LWORK As Integer, ByRef IUSER As Integer, ByRef RUSER As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub E04VGF Lib "FLDLL224M_nag.dll" ( _
    ByVal CW As string, ByVal CWLength As Integer, _
    ByRef LENCW As Integer, _
    ByRef IW As Integer, _
    ByRef LENIW As Integer, _
    ByRef RW As Double, _
    ByRef LENRW As Integer, _
    ByRef IFAIL As Integer _
   )


  Delegate Sub E04VHF_USRFUN_DELEGATE( _
    ByRef STATUS As Integer, _
    ByRef N As Integer, _
    ByVal X_rptr As IntPtr, _
    ByRef NEEDF As Integer, _
    ByRef NF As Integer, _
    ByVal F_rptr As IntPtr, _
    ByRef NEEDG As Integer, _
    ByRef LENG As Integer, _
    ByVal G_rptr As IntPtr, _
    ByVal CUSER_chptr As IntPtr, ByVal CUSER_chptrLength As Integer, _
    ByVal IUSER_iptr As IntPtr, _
    ByVal RUSER_rptr As IntPtr _
  )

   Declare Sub E04VHF Lib "FLDLL224M_nag.dll" ( _
    ByRef START As Integer, ByRef NF As Integer, ByRef N As Integer, _
    ByRef NXNAME As Integer, ByRef NFNAME As Integer, ByRef OBJADD As Double, _
    ByRef OBJROW As Integer, ByVal PROB As string, ByVal PROBLength As Integer, ByVal USRFUN As E04VHF_USRFUN_DELEGATE, _
    ByRef IAFUN As Integer, ByRef JAVAR As Integer, ByRef A As Double, _
    ByRef LENA As Integer, ByRef NEA As Integer, ByRef IGFUN As Integer, _
    ByRef JGVAR As Integer, ByRef LENG As Integer, ByRef NEG As Integer, _
    ByRef XLOW As Double, ByRef XUPP As Double, ByVal XNAMES As string, ByVal XNAMESLength As Integer, _
    ByRef FLOW As Double, ByRef FUPP As Double, ByVal FNAMES As string, ByVal FNAMESLength As Integer, _
    ByRef X As Double, ByRef XSTATE As Integer, ByRef XMUL As Double, _
    ByRef F As Double, ByRef FSTATE As Integer, ByRef FMUL As Double, _
    ByRef NS As Integer, ByRef NINF As Integer, ByRef SINF As Double, _
    ByVal CW As string, ByVal CWLength As Integer, ByRef LENCW As Integer, ByRef IW As Integer, _
    ByRef LENIW As Integer, ByRef RW As Double, ByRef LENRW As Integer, _
    ByVal CUSER As string, ByVal CUSERLength As Integer, ByRef IUSER As Integer, ByRef RUSER As Double, _
    ByRef IFAIL As Integer _
   )


  Delegate Sub E04VJF_USRFUN_DELEGATE( _
    ByRef STATUS As Integer, _
    ByRef N As Integer, _
    ByVal X_rptr As IntPtr, _
    ByRef NEEDF As Integer, _
    ByRef NF As Integer, _
    ByVal F_rptr As IntPtr, _
    ByRef NEEDG As Integer, _
    ByRef LENG As Integer, _
    ByVal G_rptr As IntPtr, _
    ByVal CUSER_chptr As IntPtr, ByVal CUSER_chptrLength As Integer, _
    ByVal IUSER_iptr As IntPtr, _
    ByVal RUSER_rptr As IntPtr _
  )

   Declare Sub E04VJF Lib "FLDLL224M_nag.dll" ( _
    ByRef NF As Integer, ByRef N As Integer, ByVal USRFUN As E04VJF_USRFUN_DELEGATE, _
    ByRef IAFUN As Integer, ByRef JAVAR As Integer, ByRef A As Double, _
    ByRef LENA As Integer, ByRef NEA As Integer, ByRef IGFUN As Integer, _
    ByRef JGVAR As Integer, ByRef LENG As Integer, ByRef NEG As Integer, _
    ByRef X As Double, ByRef XLOW As Double, ByRef XUPP As Double, _
    ByVal CW As string, ByVal CWLength As Integer, ByRef LENCW As Integer, ByRef IW As Integer, _
    ByRef LENIW As Integer, ByRef RW As Double, ByRef LENRW As Integer, _
    ByVal CUSER As string, ByVal CUSERLength As Integer, ByRef IUSER As Integer, ByRef RUSER As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub E04VKF Lib "FLDLL224M_nag.dll" ( _
    ByRef ISPECS As Integer, _
    ByVal CW As string, ByVal CWLength As Integer, _
    ByRef IW As Integer, _
    ByRef RW As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub E04VLF Lib "FLDLL224M_nag.dll" ( _
    ByVal ST As string, ByVal STLength As Integer, _
    ByVal CW As string, ByVal CWLength As Integer, _
    ByRef IW As Integer, _
    ByRef RW As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub E04VMF Lib "FLDLL224M_nag.dll" ( _
    ByVal ST As string, ByVal STLength As Integer, _
    ByRef IVALUE As Integer, _
    ByVal CW As string, ByVal CWLength As Integer, _
    ByRef IW As Integer, _
    ByRef RW As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub E04VNF Lib "FLDLL224M_nag.dll" ( _
    ByVal ST As string, ByVal STLength As Integer, _
    ByRef RVALUE As Double, _
    ByVal CW As string, ByVal CWLength As Integer, _
    ByRef IW As Integer, _
    ByRef RW As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub E04VRF Lib "FLDLL224M_nag.dll" ( _
    ByVal ST As string, ByVal STLength As Integer, _
    ByRef IVALUE As Integer, _
    ByVal CW As string, ByVal CWLength As Integer, _
    ByRef IW As Integer, _
    ByRef RW As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub E04VSF Lib "FLDLL224M_nag.dll" ( _
    ByVal ST As string, ByVal STLength As Integer, _
    ByRef RVALUE As Double, _
    ByVal CW As string, ByVal CWLength As Integer, _
    ByRef IW As Integer, _
    ByRef RW As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub E04WBF Lib "FLDLL224M_nag.dll" ( _
    ByVal RNAME As string, ByVal RNAMELength As Integer, _
    ByVal CWSAV As string, ByVal CWSAVLength As Integer, _
    ByRef LCWSAV As Integer, _
    ByRef LWSAV As Integer, _
    ByRef LLWSAV As Integer, _
    ByRef IWSAV As Integer, _
    ByRef LIWSAV As Integer, _
    ByRef RWSAV As Double, _
    ByRef LRWSAV As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub E04WCF Lib "FLDLL224M_nag.dll" ( _
    ByRef IW As Integer, _
    ByRef LENIW As Integer, _
    ByRef RW As Double, _
    ByRef LENRW As Integer, _
    ByRef IFAIL As Integer _
   )


  Delegate Sub E04WDF_CONFUN_DELEGATE( _
    ByRef MODE As Integer, _
    ByRef NCNLN As Integer, _
    ByRef N As Integer, _
    ByRef LDCJ As Integer, _
    ByVal NEEDC_iptr As IntPtr, _
    ByVal X_rptr As IntPtr, _
    ByVal CCON_rptr As IntPtr, _
    ByVal CJAC_rptr As IntPtr, _
    ByRef NSTATE As Integer, _
    ByVal IUSER_iptr As IntPtr, _
    ByVal RUSER_rptr As IntPtr _
  )

   Declare Sub E04WDP Lib "FLDLL224M_nag.dll" ( _
    ByRef MODE As Integer, _
    ByRef NCNLN As Integer, _
    ByRef N As Integer, _
    ByRef LDCJ As Integer, _
    ByVal NEEDC_iptr As IntPtr, _
    ByVal X_rptr As IntPtr, _
    ByVal CCON_rptr As IntPtr, _
    ByVal CJAC_rptr As IntPtr, _
    ByRef NSTATE As Integer, _
    ByVal IUSER_iptr As IntPtr, _
    ByVal RUSER_rptr As IntPtr _
  )

  Delegate Sub E04WDF_OBJFUN_DELEGATE( _
    ByRef MODE As Integer, _
    ByRef N As Integer, _
    ByVal X_rptr As IntPtr, _
    ByRef OBJF As Double, _
    ByVal GRAD_rptr As IntPtr, _
    ByRef NSTATE As Integer, _
    ByVal IUSER_iptr As IntPtr, _
    ByVal RUSER_rptr As IntPtr _
  )

   Declare Sub E04WDF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, ByRef NCLIN As Integer, ByRef NCNLN As Integer, _
    ByRef LDA As Integer, ByRef LDCJ As Integer, ByRef LDH As Integer, _
    ByRef A As Double, ByRef BL As Double, ByRef BU As Double, _
    ByVal CONFUN As E04WDF_CONFUN_DELEGATE, ByVal OBJFUN As E04WDF_OBJFUN_DELEGATE, ByRef MAJITS As Integer, _
    ByRef ISTATE As Integer, ByRef CCON As Double, ByRef CJAC As Double, _
    ByRef CLAMDA As Double, ByRef OBJF As Double, ByRef GRAD As Double, _
    ByRef H As Double, ByRef X As Double, ByRef IW As Integer, _
    ByRef LENIW As Integer, ByRef RW As Double, ByRef LENRW As Integer, _
    ByRef IUSER As Integer, ByRef RUSER As Double, ByRef IFAIL As Integer _
   )


   Declare Sub E04WEF Lib "FLDLL224M_nag.dll" ( _
    ByRef ISPECS As Integer, _
    ByRef IW As Integer, _
    ByRef RW As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub E04WFF Lib "FLDLL224M_nag.dll" ( _
    ByVal ST As string, ByVal STLength As Integer, _
    ByRef IW As Integer, _
    ByRef RW As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub E04WGF Lib "FLDLL224M_nag.dll" ( _
    ByVal ST As string, ByVal STLength As Integer, _
    ByRef IVALUE As Integer, _
    ByRef IW As Integer, _
    ByRef RW As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub E04WHF Lib "FLDLL224M_nag.dll" ( _
    ByVal ST As string, ByVal STLength As Integer, _
    ByRef RVALUE As Double, _
    ByRef IW As Integer, _
    ByRef RW As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub E04WKF Lib "FLDLL224M_nag.dll" ( _
    ByVal ST As string, ByVal STLength As Integer, _
    ByRef IVALUE As Integer, _
    ByRef IW As Integer, _
    ByRef RW As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub E04WLF Lib "FLDLL224M_nag.dll" ( _
    ByVal ST As string, ByVal STLength As Integer, _
    ByRef RVALUE As Double, _
    ByRef IW As Integer, _
    ByRef RW As Double, _
    ByRef IFAIL As Integer _
   )


  Delegate Sub E04XAA_OBJFUN_DELEGATE( _
    ByRef MODE As Integer, _
    ByRef N As Integer, _
    ByVal X_rptr As IntPtr, _
    ByRef OBJF As Double, _
    ByVal OBJGRD_rptr As IntPtr, _
    ByRef NSTATE As Integer, _
    ByVal IUSER_iptr As IntPtr, _
    ByVal RUSER_rptr As IntPtr _
  )

   Declare Sub E04XAA Lib "FLDLL224M_nag.dll" ( _
    ByRef MSGLVL As Integer, ByRef N As Integer, ByRef EPSRF As Double, _
    ByRef X As Double, ByRef MODE As Integer, ByVal OBJFUN As E04XAF_OBJFUN_DELEGATE, _
    ByRef LDH As Integer, ByRef HFORW As Double, ByRef OBJF As Double, _
    ByRef OBJGRD As Double, ByRef HCNTRL As Double, ByRef H As Double, _
    ByRef IWARN As Integer, ByRef WORK As Double, ByRef IUSER As Integer, _
    ByRef RUSER As Double, ByRef INFO As Integer, ByRef LWSAV As Integer, _
    ByRef IWSAV As Integer, ByRef RWSAV As Double, ByRef IFAIL As Integer _
   )

  Delegate Sub E04XAF_OBJFUN_DELEGATE( _
    ByRef MODE As Integer, _
    ByRef N As Integer, _
    ByVal X_rptr As IntPtr, _
    ByRef OBJF As Double, _
    ByVal OBJGRD_rptr As IntPtr, _
    ByRef NSTATE As Integer, _
    ByVal IUSER_iptr As IntPtr, _
    ByVal RUSER_rptr As IntPtr _
  )

   Declare Sub E04XAF Lib "FLDLL224M_nag.dll" ( _
    ByRef MSGLVL As Integer, _
    ByRef N As Integer, _
    ByRef EPSRF As Double, _
    ByRef X As Double, _
    ByRef MODE As Integer, _
    ByVal OBJFUN As E04XAF_OBJFUN_DELEGATE, _
    ByRef LDH As Integer, _
    ByRef HFORW As Double, _
    ByRef OBJF As Double, _
    ByRef OBJGRD As Double, _
    ByRef HCNTRL As Double, _
    ByRef H As Double, _
    ByRef IWARN As Integer, _
    ByRef WORK As Double, _
    ByRef IUSER As Integer, _
    ByRef RUSER As Double, _
    ByRef INFO As Integer, _
    ByRef IFAIL As Integer _
   )


  Delegate Sub E04YAF_LSQFUN_DELEGATE( _
    ByRef IFLAG As Integer, _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByVal XC_rptr As IntPtr, _
    ByVal FVEC_rptr As IntPtr, _
    ByVal FJAC_rptr As IntPtr, _
    ByRef LDFJAC As Integer, _
    ByVal IW_iptr As IntPtr, _
    ByRef LIW As Integer, _
    ByVal W_rptr As IntPtr, _
    ByRef LW As Integer _
  )

   Declare Sub E04YAF Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByVal LSQFUN As E04YAF_LSQFUN_DELEGATE, _
    ByRef X As Double, _
    ByRef FVEC As Double, _
    ByRef FJAC As Double, _
    ByRef LDFJAC As Integer, _
    ByRef IW As Integer, _
    ByRef LIW As Integer, _
    ByRef W As Double, _
    ByRef LW As Integer, _
    ByRef IFAIL As Integer _
   )


  Delegate Sub E04YBF_LSQFUN_DELEGATE( _
    ByRef IFLAG As Integer, _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByVal XC_rptr As IntPtr, _
    ByVal FVEC_rptr As IntPtr, _
    ByVal FJAC_rptr As IntPtr, _
    ByRef LDFJAC As Integer, _
    ByVal IW_iptr As IntPtr, _
    ByRef LIW As Integer, _
    ByVal W_rptr As IntPtr, _
    ByRef LW As Integer _
  )

  Delegate Sub E04YBF_LSQHES_DELEGATE( _
    ByRef IFLAG As Integer, _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByVal FVEC_rptr As IntPtr, _
    ByVal XC_rptr As IntPtr, _
    ByVal B_rptr As IntPtr, _
    ByRef LB As Integer, _
    ByVal IW_iptr As IntPtr, _
    ByRef LIW As Integer, _
    ByVal W_rptr As IntPtr, _
    ByRef LW As Integer _
  )

   Declare Sub E04YBF Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByVal LSQFUN As E04YBF_LSQFUN_DELEGATE, _
    ByVal LSQHES As E04YBF_LSQHES_DELEGATE, _
    ByRef X As Double, _
    ByRef FVEC As Double, _
    ByRef FJAC As Double, _
    ByRef LDFJAC As Integer, _
    ByRef B As Double, _
    ByRef LB As Integer, _
    ByRef IW As Integer, _
    ByRef LIW As Integer, _
    ByRef W As Double, _
    ByRef LW As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub E04YCF Lib "FLDLL224M_nag.dll" ( _
    ByRef JOB As Integer, _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef FSUMSQ As Double, _
    ByRef S As Double, _
    ByRef V As Double, _
    ByRef LDV As Integer, _
    ByRef CJ As Double, _
    ByRef WORK As Double, _
    ByRef IFAIL As Integer _
   )


  Delegate Sub E04ZCA_CONFUN_DELEGATE( _
    ByRef MODE As Integer, _
    ByRef NCNLN As Integer, _
    ByRef N As Integer, _
    ByRef LDCJAC As Integer, _
    ByVal X_rptr As IntPtr, _
    ByVal C_rptr As IntPtr, _
    ByVal CJAC_rptr As IntPtr, _
    ByRef NSTATE As Integer, _
    ByVal IUSER_iptr As IntPtr, _
    ByVal RUSER_rptr As IntPtr _
  )

   Declare Sub E54VDM Lib "FLDLL224M_nag.dll" ( _
    ByRef MODE As Integer, _
    ByRef NCNLN As Integer, _
    ByRef N As Integer, _
    ByRef LDCJAC As Integer, _
    ByVal X_rptr As IntPtr, _
    ByVal C_rptr As IntPtr, _
    ByVal CJAC_rptr As IntPtr, _
    ByRef NSTATE As Integer, _
    ByVal IUSER_iptr As IntPtr, _
    ByVal RUSER_rptr As IntPtr _
  )

  Delegate Sub E04ZCA_OBJFUN_DELEGATE( _
    ByRef MODE As Integer, _
    ByRef N As Integer, _
    ByVal X_rptr As IntPtr, _
    ByRef OBJF As Double, _
    ByVal OBJGRD_rptr As IntPtr, _
    ByRef NSTATE As Integer, _
    ByVal IUSER_iptr As IntPtr, _
    ByVal RUSER_rptr As IntPtr _
  )

   Declare Sub E04ZCA Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef NCNLN As Integer, _
    ByRef LDCJAC As Integer, _
    ByVal CONFUN As E04ZCF_CONFUN_DELEGATE, _
    ByVal OBJFUN As E04ZCF_OBJFUN_DELEGATE, _
    ByRef C As Double, _
    ByRef CJAC As Double, _
    ByRef OBJF As Double, _
    ByRef OBJGRD As Double, _
    ByRef X As Double, _
    ByRef WORK As Double, _
    ByRef LWORK As Integer, _
    ByRef IUSER As Integer, _
    ByRef RUSER As Double, _
    ByRef IFAIL As Integer _
   )

  Delegate Sub E04ZCF_CONFUN_DELEGATE( _
    ByRef MODE As Integer, _
    ByRef NCNLN As Integer, _
    ByRef N As Integer, _
    ByRef LDCJAC As Integer, _
    ByVal X_rptr As IntPtr, _
    ByVal C_rptr As IntPtr, _
    ByVal CJAC_rptr As IntPtr, _
    ByRef NSTATE As Integer _
  )

   Declare Sub E04VDM Lib "FLDLL224M_nag.dll" ( _
    ByRef MODE As Integer, _
    ByRef NCNLN As Integer, _
    ByRef N As Integer, _
    ByRef LDCJAC As Integer, _
    ByVal X_rptr As IntPtr, _
    ByVal C_rptr As IntPtr, _
    ByVal CJAC_rptr As IntPtr, _
    ByRef NSTATE As Integer _
  )

  Delegate Sub E04ZCF_OBJFUN_DELEGATE( _
    ByRef MODE As Integer, _
    ByRef N As Integer, _
    ByVal X_rptr As IntPtr, _
    ByRef OBJF As Double, _
    ByVal OBJGRD_rptr As IntPtr, _
    ByRef NSTATE As Integer _
  )

   Declare Sub E04ZCF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef NCNLN As Integer, _
    ByRef LDCJAC As Integer, _
    ByVal CONFUN As E04ZCF_CONFUN_DELEGATE, _
    ByVal OBJFUN As E04ZCF_OBJFUN_DELEGATE, _
    ByRef C As Double, _
    ByRef CJAC As Double, _
    ByRef OBJF As Double, _
    ByRef OBJGRD As Double, _
    ByRef X As Double, _
    ByRef WORK As Double, _
    ByRef LWORK As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub E05JAF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef COMM As Double, _
    ByRef LCOMM As Integer, _
    ByRef IFAIL As Integer _
   )


  Delegate Sub E05JBF_OBJFUN_DELEGATE( _
    ByRef N As Integer, _
    ByVal X_rptr As IntPtr, _
    ByRef F As Double, _
    ByRef NSTATE As Integer, _
    ByVal IUSER_iptr As IntPtr, _
    ByVal RUSER_rptr As IntPtr, _
    ByRef INFORM As Integer _
  )

  Delegate Sub E05JBF_MONIT_DELEGATE( _
    ByRef N As Integer, _
    ByRef NCALL As Integer, _
    ByVal XBEST_rptr As IntPtr, _
    ByVal ICOUNT_iptr As IntPtr, _
    ByRef NINIT As Integer, _
    ByVal LIST_rptr As IntPtr, _
    ByVal NUMPTS_iptr As IntPtr, _
    ByVal INITPT_iptr As IntPtr, _
    ByRef NBASKT As Integer, _
    ByVal XBASKT_rptr As IntPtr, _
    ByVal BOXL_rptr As IntPtr, _
    ByVal BOXU_rptr As IntPtr, _
    ByRef NSTATE As Integer, _
    ByVal IUSER_iptr As IntPtr, _
    ByVal RUSER_rptr As IntPtr, _
    ByRef INFORM As Integer _
  )

   Declare Sub E05JBK Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef NCALL As Integer, _
    ByVal XBEST_rptr As IntPtr, _
    ByVal ICOUNT_iptr As IntPtr, _
    ByRef NINIT As Integer, _
    ByVal LIST_rptr As IntPtr, _
    ByVal NUMPTS_iptr As IntPtr, _
    ByVal INITPT_iptr As IntPtr, _
    ByRef NBASKT As Integer, _
    ByVal XBASKT_rptr As IntPtr, _
    ByVal BOXL_rptr As IntPtr, _
    ByVal BOXU_rptr As IntPtr, _
    ByRef NSTATE As Integer, _
    ByVal IUSER_iptr As IntPtr, _
    ByVal RUSER_rptr As IntPtr, _
    ByRef INFORM As Integer _
  )

   Declare Sub E05JBF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByVal OBJFUN As E05JBF_OBJFUN_DELEGATE, _
    ByRef IBOUND As Integer, _
    ByRef IINIT As Integer, _
    ByRef BL As Double, _
    ByRef BU As Double, _
    ByRef SDLIST As Integer, _
    ByRef LIST As Double, _
    ByRef NUMPTS As Integer, _
    ByRef INITPT As Integer, _
    ByVal MONIT As E05JBF_MONIT_DELEGATE, _
    ByRef X As Double, _
    ByRef OBJ As Double, _
    ByRef COMM As Double, _
    ByRef LCOMM As Integer, _
    ByRef IUSER As Integer, _
    ByRef RUSER As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub E05JCF Lib "FLDLL224M_nag.dll" ( _
    ByRef IOPTS As Integer, _
    ByRef COMM As Double, _
    ByRef LCOMM As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub E05JDF Lib "FLDLL224M_nag.dll" ( _
    ByVal OPTSTR As string, ByVal OPTSTRLength As Integer, _
    ByRef COMM As Double, _
    ByRef LCOMM As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub E05JEF Lib "FLDLL224M_nag.dll" ( _
    ByVal OPTSTR As string, ByVal OPTSTRLength As Integer, _
    ByVal CVALUE As string, ByVal CVALUELength As Integer, _
    ByRef COMM As Double, _
    ByRef LCOMM As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub E05JFF Lib "FLDLL224M_nag.dll" ( _
    ByVal OPTSTR As string, ByVal OPTSTRLength As Integer, _
    ByRef IVALUE As Integer, _
    ByRef COMM As Double, _
    ByRef LCOMM As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub E05JGF Lib "FLDLL224M_nag.dll" ( _
    ByVal OPTSTR As string, ByVal OPTSTRLength As Integer, _
    ByRef RVALUE As Double, _
    ByRef COMM As Double, _
    ByRef LCOMM As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Function E05JHF Lib "FLDLL224M_nag.dll" ( _
    ByVal OPTSTR As string, ByVal OPTSTRLength As Integer, _
    ByRef COMM As Double, _
    ByRef LCOMM As Integer, _
    ByRef IFAIL As Integer _
   ) as Integer


   Declare Sub E05JJF Lib "FLDLL224M_nag.dll" ( _
    ByVal OPTSTR As string, ByVal OPTSTRLength As Integer, _
    ByVal CVALUE As string, ByVal CVALUELength As Integer, _
    ByRef COMM As Double, _
    ByRef LCOMM As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub E05JKF Lib "FLDLL224M_nag.dll" ( _
    ByVal OPTSTR As string, ByVal OPTSTRLength As Integer, _
    ByRef IVALUE As Integer, _
    ByRef COMM As Double, _
    ByRef LCOMM As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub E05JLF Lib "FLDLL224M_nag.dll" ( _
    ByVal OPTSTR As string, ByVal OPTSTRLength As Integer, _
    ByRef RVALUE As Double, _
    ByRef COMM As Double, _
    ByRef LCOMM As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F01ABF Lib "FLDLL224M_nag.dll" ( _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef N As Integer, _
    ByRef B As Double, _
    ByRef LDB As Integer, _
    ByRef Z As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F01ADF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F01BLF Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef T As Double, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef AIJMAX As Double, _
    ByRef IRANK As Integer, _
    ByRef INC As Integer, _
    ByRef D As Double, _
    ByRef U As Double, _
    ByRef LDU As Integer, _
    ByRef DU As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F01BRF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef NZ As Integer, _
    ByRef A As Double, _
    ByRef LICN As Integer, _
    ByRef IRN As Integer, _
    ByRef LIRN As Integer, _
    ByRef ICN As Integer, _
    ByRef PIVOT As Double, _
    ByRef IKEEP As Integer, _
    ByRef IW As Integer, _
    ByRef W As Double, _
    ByRef LBLOCK As Integer, _
    ByRef GROW As Integer, _
    ByRef ABORT As Integer, _
    ByRef IDISP As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F01BSF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef NZ As Integer, _
    ByRef A As Double, _
    ByRef LICN As Integer, _
    ByRef IVECT As Integer, _
    ByRef JVECT As Integer, _
    ByRef ICN As Integer, _
    ByRef IKEEP As Integer, _
    ByRef IW As Integer, _
    ByRef W As Double, _
    ByRef GROW As Integer, _
    ByRef ETA As Double, _
    ByRef RPMIN As Double, _
    ByRef ABORT As Integer, _
    ByRef IDISP As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F01BUF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef M1 As Integer, _
    ByRef K As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef W As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F01BVF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef MA1 As Integer, _
    ByRef MB1 As Integer, _
    ByRef M3 As Integer, _
    ByRef K As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef B As Double, _
    ByRef LDB As Integer, _
    ByRef V As Double, _
    ByRef LDV As Integer, _
    ByRef W As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F01CKF Lib "FLDLL224M_nag.dll" ( _
    ByRef A As Double, _
    ByRef B As Double, _
    ByRef C As Double, _
    ByRef N As Integer, _
    ByRef P As Integer, _
    ByRef M As Integer, _
    ByRef Z As Double, _
    ByRef IZ As Integer, _
    ByRef OPT As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F01CRF Lib "FLDLL224M_nag.dll" ( _
    ByRef A As Double, _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef MN As Integer, _
    ByRef MOVE As Integer, _
    ByRef LMOVE As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F01CTF Lib "FLDLL224M_nag.dll" ( _
    ByVal TRANSA As string, ByVal TRANSALength As Integer, _
    ByVal TRANSB As string, ByVal TRANSBLength As Integer, _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef ALPHA As Double, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef BETA As Double, _
    ByRef B As Double, _
    ByRef LDB As Integer, _
    ByRef C As Double, _
    ByRef LDC As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F01CWF Lib "FLDLL224M_nag.dll" ( _
    ByVal TRANSA As string, ByVal TRANSALength As Integer, _
    ByVal TRANSB As string, ByVal TRANSBLength As Integer, _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef ALPHA As Complex, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef BETA As Complex, _
    ByRef B As Complex, _
    ByRef LDB As Integer, _
    ByRef C As Complex, _
    ByRef LDC As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F01ECF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F01LEF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef A As Double, _
    ByRef LAMBDA As Double, _
    ByRef B As Double, _
    ByRef C As Double, _
    ByRef TOL As Double, _
    ByRef D As Double, _
    ByRef IPIV As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F01LHF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef NBLOKS As Integer, _
    ByRef BLKSTR As Integer, _
    ByRef A As Double, _
    ByRef LENA As Integer, _
    ByRef PIVOT As Integer, _
    ByRef TOL As Double, _
    ByRef KPIVOT As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F01MCF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef A As Double, _
    ByRef LAL As Integer, _
    ByRef NROW As Integer, _
    ByRef AL As Double, _
    ByRef D As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F01QGF Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef ZETA As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F01QJF Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef ZETA As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F01QKF Lib "FLDLL224M_nag.dll" ( _
    ByVal WHERET As string, ByVal WHERETLength As Integer, _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef NROWP As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef ZETA As Double, _
    ByRef WORK As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F01RGF Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef THETA As Complex, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F01RJF Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef THETA As Complex, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F01RKF Lib "FLDLL224M_nag.dll" ( _
    ByVal WHERET As string, ByVal WHERETLength As Integer, _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef NROWP As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef THETA As Complex, _
    ByRef WORK As Complex, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F01ZAF Lib "FLDLL224M_nag.dll" ( _
    ByVal JOB As string, ByVal JOBLength As Integer, _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByVal DIAG As string, ByVal DIAGLength As Integer, _
    ByRef N As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef B As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F01ZBF Lib "FLDLL224M_nag.dll" ( _
    ByVal JOB As string, ByVal JOBLength As Integer, _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByVal DIAG As string, ByVal DIAGLength As Integer, _
    ByRef N As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef B As Complex, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F01ZCF Lib "FLDLL224M_nag.dll" ( _
    ByVal JOB As string, ByVal JOBLength As Integer, _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef KL As Integer, _
    ByRef KU As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef B As Double, _
    ByRef LDB As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F01ZDF Lib "FLDLL224M_nag.dll" ( _
    ByVal JOB As string, ByVal JOBLength As Integer, _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef KL As Integer, _
    ByRef KU As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef B As Complex, _
    ByRef LDB As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F02BJF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef B As Double, _
    ByRef LDB As Integer, _
    ByRef EPS1 As Double, _
    ByRef ALFR As Double, _
    ByRef ALFI As Double, _
    ByRef BETA As Double, _
    ByRef MATV As Integer, _
    ByRef V As Double, _
    ByRef LDV As Integer, _
    ByRef ITER As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F02EAF Lib "FLDLL224M_nag.dll" ( _
    ByVal JOB As string, ByVal JOBLength As Integer, _
    ByRef N As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef WR As Double, _
    ByRef WI As Double, _
    ByRef Z As Double, _
    ByRef LDZ As Integer, _
    ByRef WORK As Double, _
    ByRef LWORK As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F02EBF Lib "FLDLL224M_nag.dll" ( _
    ByVal JOB As string, ByVal JOBLength As Integer, _
    ByRef N As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef WR As Double, _
    ByRef WI As Double, _
    ByRef VR As Double, _
    ByRef LDVR As Integer, _
    ByRef VI As Double, _
    ByRef LDVI As Integer, _
    ByRef WORK As Double, _
    ByRef LWORK As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F02ECF Lib "FLDLL224M_nag.dll" ( _
    ByVal CRIT As string, ByVal CRITLength As Integer, _
    ByRef N As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef WL As Double, _
    ByRef WU As Double, _
    ByRef MEST As Integer, _
    ByRef M As Integer, _
    ByRef WR As Double, _
    ByRef WI As Double, _
    ByRef VR As Double, _
    ByRef LDVR As Integer, _
    ByRef VI As Double, _
    ByRef LDVI As Integer, _
    ByRef WORK As Double, _
    ByRef LWORK As Integer, _
    ByRef IWORK As Integer, _
    ByRef BWORK As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F02FAF Lib "FLDLL224M_nag.dll" ( _
    ByVal JOB As string, ByVal JOBLength As Integer, _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef W As Double, _
    ByRef WORK As Double, _
    ByRef LWORK As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F02FCF Lib "FLDLL224M_nag.dll" ( _
    ByVal JOB As string, ByVal JOBLength As Integer, _
    ByVal RANGE As string, ByVal RANGELength As Integer, _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef WL As Double, _
    ByRef WU As Double, _
    ByRef IL As Integer, _
    ByRef IU As Integer, _
    ByRef MEST As Integer, _
    ByRef M As Integer, _
    ByRef W As Double, _
    ByRef Z As Double, _
    ByRef LDZ As Integer, _
    ByRef WORK As Double, _
    ByRef LWORK As Integer, _
    ByRef IWORK As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F02FDF Lib "FLDLL224M_nag.dll" ( _
    ByRef ITYPE As Integer, _
    ByVal JOB As string, ByVal JOBLength As Integer, _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef B As Double, _
    ByRef LDB As Integer, _
    ByRef W As Double, _
    ByRef WORK As Double, _
    ByRef LWORK As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F02FHF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef MA As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef MB As Integer, _
    ByRef B As Double, _
    ByRef LDB As Integer, _
    ByRef D As Double, _
    ByRef WORK As Double, _
    ByRef LWORK As Integer, _
    ByRef IFAIL As Integer _
   )


  Delegate Function F02FJF_DOT_DELEGATE( _
    ByRef IFLAG As Integer, _
    ByRef N As Integer, _
    ByVal Z_rptr As IntPtr, _
    ByVal W_rptr As IntPtr, _
    ByVal RUSER_rptr As IntPtr, _
    ByRef LRUSER As Integer, _
    ByVal IUSER_iptr As IntPtr, _
    ByRef LIUSER As Integer _
  ) as Double

  Delegate Sub F02FJF_IMAGE_DELEGATE( _
    ByRef IFLAG As Integer, _
    ByRef N As Integer, _
    ByVal Z_rptr As IntPtr, _
    ByVal W_rptr As IntPtr, _
    ByVal RUSER_rptr As IntPtr, _
    ByRef LRUSER As Integer, _
    ByVal IUSER_iptr As IntPtr, _
    ByRef LIUSER As Integer _
  )

  Delegate Sub F02FJF_MONIT_DELEGATE( _
    ByRef ISTATE As Integer, _
    ByRef NEXTIT As Integer, _
    ByRef NEVALS As Integer, _
    ByRef NEVECS As Integer, _
    ByRef K As Integer, _
    ByVal F_rptr As IntPtr, _
    ByVal D_rptr As IntPtr _
  )

   Declare Sub F02FJZ Lib "FLDLL224M_nag.dll" ( _
    ByRef ISTATE As Integer, _
    ByRef NEXTIT As Integer, _
    ByRef NEVALS As Integer, _
    ByRef NEVECS As Integer, _
    ByRef K As Integer, _
    ByVal F_rptr As IntPtr, _
    ByVal D_rptr As IntPtr _
  )

   Declare Sub F02FJF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef M As Integer, _
    ByRef K As Integer, _
    ByRef NOITS As Integer, _
    ByRef TOL As Double, _
    ByVal DOT As F02FJF_DOT_DELEGATE, _
    ByVal IMAGE As F02FJF_IMAGE_DELEGATE, _
    ByVal MONIT As F02FJF_MONIT_DELEGATE, _
    ByRef NOVECS As Integer, _
    ByRef X As Double, _
    ByRef LDX As Integer, _
    ByRef D As Double, _
    ByRef WORK As Double, _
    ByRef LWORK As Integer, _
    ByRef RUSER As Double, _
    ByRef LRUSER As Integer, _
    ByRef IUSER As Integer, _
    ByRef LIUSER As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F02GAF Lib "FLDLL224M_nag.dll" ( _
    ByVal JOB As string, ByVal JOBLength As Integer, _
    ByRef N As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef W As Complex, _
    ByRef Z As Complex, _
    ByRef LDZ As Integer, _
    ByRef RWORK As Double, _
    ByRef WORK As Complex, _
    ByRef LWORK As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F02GBF Lib "FLDLL224M_nag.dll" ( _
    ByVal JOB As string, ByVal JOBLength As Integer, _
    ByRef N As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef W As Complex, _
    ByRef V As Complex, _
    ByRef LDV As Integer, _
    ByRef RWORK As Double, _
    ByRef WORK As Complex, _
    ByRef LWORK As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F02GCF Lib "FLDLL224M_nag.dll" ( _
    ByVal CRIT As string, ByVal CRITLength As Integer, _
    ByRef N As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef WL As Double, _
    ByRef WU As Double, _
    ByRef MEST As Integer, _
    ByRef M As Integer, _
    ByRef W As Complex, _
    ByRef V As Complex, _
    ByRef LDV As Integer, _
    ByRef WORK As Complex, _
    ByRef LWORK As Integer, _
    ByRef RWORK As Double, _
    ByRef IWORK As Integer, _
    ByRef BWORK As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F02GJF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, ByRef AR As Double, ByRef LDAR As Integer, _
    ByRef AI As Double, ByRef LDAI As Integer, ByRef BR As Double, _
    ByRef LDBR As Integer, ByRef BI As Double, ByRef LDBI As Integer, _
    ByRef EPS1 As Double, ByRef ALFR As Double, ByRef ALFI As Double, _
    ByRef BETA As Double, ByRef MATV As Integer, ByRef VR As Double, _
    ByRef LDVR As Integer, ByRef VI As Double, ByRef LDVI As Integer, _
    ByRef ITER As Integer, ByRef IFAIL As Integer _
   )


   Declare Sub F02HAF Lib "FLDLL224M_nag.dll" ( _
    ByVal JOB As string, ByVal JOBLength As Integer, _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef W As Double, _
    ByRef RWORK As Double, _
    ByRef WORK As Complex, _
    ByRef LWORK As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F02HCF Lib "FLDLL224M_nag.dll" ( _
    ByVal JOB As string, ByVal JOBLength As Integer, ByVal RANGE As string, ByVal RANGELength As Integer, ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, ByRef A As Complex, ByRef LDA As Integer, _
    ByRef WL As Double, ByRef WU As Double, ByRef IL As Integer, _
    ByRef IU As Integer, ByRef MEST As Integer, ByRef M As Integer, _
    ByRef W As Double, ByRef Z As Complex, ByRef LDZ As Integer, _
    ByRef WORK As Complex, ByRef LWORK As Integer, ByRef RWORK As Double, _
    ByRef IWORK As Integer, ByRef IFAIL As Integer _
   )


   Declare Sub F02HDF Lib "FLDLL224M_nag.dll" ( _
    ByRef ITYPE As Integer, _
    ByVal JOB As string, ByVal JOBLength As Integer, _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef B As Complex, _
    ByRef LDB As Integer, _
    ByRef W As Double, _
    ByRef RWORK As Double, _
    ByRef WORK As Complex, _
    ByRef LWORK As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F02SDF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef MA1 As Integer, _
    ByRef MB1 As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef B As Double, _
    ByRef LDB As Integer, _
    ByRef SYM As Integer, _
    ByRef RELEP As Double, _
    ByRef RMU As Double, _
    ByRef VEC As Double, _
    ByRef D As Double, _
    ByRef IWORK As Integer, _
    ByRef WORK As Double, _
    ByRef LWORK As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F02WDF Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, ByRef N As Integer, ByRef A As Double, _
    ByRef LDA As Integer, ByRef WANTB As Integer, ByRef B As Double, _
    ByRef TOL As Double, ByRef SVD As Integer, ByRef IRANK As Integer, _
    ByRef Z As Double, ByRef SV As Double, ByRef WANTR As Integer, _
    ByRef R As Double, ByRef LDR As Integer, ByRef WANTPT As Integer, _
    ByRef PT As Double, ByRef LDPT As Integer, ByRef WORK As Double, _
    ByRef LWORK As Integer, ByRef IFAIL As Integer _
   )


   Declare Sub F02WEF Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef NCOLB As Integer, _
    ByRef B As Double, _
    ByRef LDB As Integer, _
    ByRef WANTQ As Integer, _
    ByRef Q As Double, _
    ByRef LDQ As Integer, _
    ByRef SV As Double, _
    ByRef WANTP As Integer, _
    ByRef PT As Double, _
    ByRef LDPT As Integer, _
    ByRef WORK As Double, _
    ByRef IFAIL As Integer _
   )


  Delegate Sub F02WGF_AV_DELEGATE( _
    ByRef IFLAG As Integer, _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByVal X_rptr As IntPtr, _
    ByVal AX_rptr As IntPtr, _
    ByVal IUSER_iptr As IntPtr, _
    ByVal RUSER_rptr As IntPtr _
  )

   Declare Sub F02WGF Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef K As Integer, _
    ByRef NCV As Integer, _
    ByVal AV As F02WGF_AV_DELEGATE, _
    ByRef NCONV As Integer, _
    ByRef SIGMA As Double, _
    ByRef U As Double, _
    ByRef LDU As Integer, _
    ByRef V As Double, _
    ByRef LDV As Integer, _
    ByRef RESID As Double, _
    ByRef IUSER As Integer, _
    ByRef RUSER As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F02WUF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef NCOLB As Integer, _
    ByRef B As Double, _
    ByRef LDB As Integer, _
    ByRef WANTQ As Integer, _
    ByRef Q As Double, _
    ByRef LDQ As Integer, _
    ByRef SV As Double, _
    ByRef WANTP As Integer, _
    ByRef WORK As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F02XEF Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef NCOLB As Integer, _
    ByRef B As Complex, _
    ByRef LDB As Integer, _
    ByRef WANTQ As Integer, _
    ByRef Q As Complex, _
    ByRef LDQ As Integer, _
    ByRef SV As Double, _
    ByRef WANTP As Integer, _
    ByRef PH As Complex, _
    ByRef LDPH As Integer, _
    ByRef RWORK As Double, _
    ByRef CWORK As Complex, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F02XUF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef NCOLB As Integer, _
    ByRef B As Complex, _
    ByRef LDB As Integer, _
    ByRef WANTQ As Integer, _
    ByRef Q As Complex, _
    ByRef LDQ As Integer, _
    ByRef SV As Double, _
    ByRef WANTP As Integer, _
    ByRef RWORK As Double, _
    ByRef CWORK As Complex, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F03AAF Lib "FLDLL224M_nag.dll" ( _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef N As Integer, _
    ByRef DET As Double, _
    ByRef WKSPCE As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F03ABF Lib "FLDLL224M_nag.dll" ( _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef N As Integer, _
    ByRef DET As Double, _
    ByRef WKSPCE As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F03ACF Lib "FLDLL224M_nag.dll" ( _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef N As Integer, _
    ByRef M As Integer, _
    ByRef DET As Double, _
    ByRef RL As Double, _
    ByRef LDRL As Integer, _
    ByRef M1 As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F03ADF Lib "FLDLL224M_nag.dll" ( _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef N As Integer, _
    ByRef DETR As Double, _
    ByRef DETI As Double, _
    ByRef WKSPCE As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F03AEF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef P As Double, _
    ByRef D1 As Double, _
    ByRef ID As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F03AFF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef EPS As Double, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef D1 As Double, _
    ByRef ID As Integer, _
    ByRef P As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F04AAF Lib "FLDLL224M_nag.dll" ( _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef B As Double, _
    ByRef LDB As Integer, _
    ByRef N As Integer, _
    ByRef M As Integer, _
    ByRef C As Double, _
    ByRef LDC As Integer, _
    ByRef WKSPCE As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F04ABF Lib "FLDLL224M_nag.dll" ( _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef B As Double, _
    ByRef LDB As Integer, _
    ByRef N As Integer, _
    ByRef M As Integer, _
    ByRef C As Double, _
    ByRef LDC As Integer, _
    ByRef WKSPCE As Double, _
    ByRef BB As Double, _
    ByRef LDBB As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F04ACF Lib "FLDLL224M_nag.dll" ( _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef B As Double, _
    ByRef LDB As Integer, _
    ByRef N As Integer, _
    ByRef M As Integer, _
    ByRef IR As Integer, _
    ByRef C As Double, _
    ByRef LDC As Integer, _
    ByRef RL As Double, _
    ByRef LDRL As Integer, _
    ByRef M1 As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F04ADF Lib "FLDLL224M_nag.dll" ( _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef B As Complex, _
    ByRef LDB As Integer, _
    ByRef N As Integer, _
    ByRef M As Integer, _
    ByRef C As Complex, _
    ByRef LDC As Integer, _
    ByRef WKSPCE As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F04AEF Lib "FLDLL224M_nag.dll" ( _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef B As Double, _
    ByRef LDB As Integer, _
    ByRef N As Integer, _
    ByRef M As Integer, _
    ByRef C As Double, _
    ByRef LDC As Integer, _
    ByRef WKSPCE As Double, _
    ByRef AA As Double, _
    ByRef LDAA As Integer, _
    ByRef BB As Double, _
    ByRef LDBB As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F04AFF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef IR As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef P As Double, _
    ByRef B As Double, _
    ByRef LDB As Integer, _
    ByRef EPS As Double, _
    ByRef X As Double, _
    ByRef LDX As Integer, _
    ByRef BB As Double, _
    ByRef LDBB As Integer, _
    ByRef K As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F04AGF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef IR As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef P As Double, _
    ByRef B As Double, _
    ByRef LDB As Integer, _
    ByRef X As Double, _
    ByRef LDX As Integer _
   )


   Declare Sub F04AHF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef IR As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef AA As Double, _
    ByRef LDAA As Integer, _
    ByRef P As Double, _
    ByRef B As Double, _
    ByRef LDB As Integer, _
    ByRef EPS As Double, _
    ByRef X As Double, _
    ByRef LDX As Integer, _
    ByRef BB As Double, _
    ByRef LDBB As Integer, _
    ByRef K As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F04AJF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef IR As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef P As Double, _
    ByRef B As Double, _
    ByRef LDB As Integer _
   )


   Declare Sub F04AMF Lib "FLDLL224M_nag.dll" ( _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef X As Double, _
    ByRef LDX As Integer, _
    ByRef B As Double, _
    ByRef LDB As Integer, _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef IR As Integer, _
    ByRef EPS As Double, _
    ByRef QR As Double, _
    ByRef LDQR As Integer, _
    ByRef ALPHA As Double, _
    ByRef E As Double, _
    ByRef Y As Double, _
    ByRef Z As Double, _
    ByRef R As Double, _
    ByRef IPIV As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F04ARF Lib "FLDLL224M_nag.dll" ( _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef B As Double, _
    ByRef N As Integer, _
    ByRef C As Double, _
    ByRef WKSPCE As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F04ASF Lib "FLDLL224M_nag.dll" ( _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef B As Double, _
    ByRef N As Integer, _
    ByRef C As Double, _
    ByRef WK1 As Double, _
    ByRef WK2 As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F04ATF Lib "FLDLL224M_nag.dll" ( _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef B As Double, _
    ByRef N As Integer, _
    ByRef C As Double, _
    ByRef AA As Double, _
    ByRef LDAA As Integer, _
    ByRef WKS1 As Double, _
    ByRef WKS2 As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F04AXF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef A As Double, _
    ByRef LICN As Integer, _
    ByRef ICN As Integer, _
    ByRef IKEEP As Integer, _
    ByRef RHS As Double, _
    ByRef W As Double, _
    ByRef MTYPE As Integer, _
    ByRef IDISP As Integer, _
    ByRef RESID As Double _
   )


   Declare Sub F04BAF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef NRHS As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef IPIV As Integer, _
    ByRef B As Double, _
    ByRef LDB As Integer, _
    ByRef RCOND As Double, _
    ByRef ERRBND As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F04BBF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef KL As Integer, _
    ByRef KU As Integer, _
    ByRef NRHS As Integer, _
    ByRef AB As Double, _
    ByRef LDAB As Integer, _
    ByRef IPIV As Integer, _
    ByRef B As Double, _
    ByRef LDB As Integer, _
    ByRef RCOND As Double, _
    ByRef ERRBND As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F04BCF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef NRHS As Integer, _
    ByRef DL As Double, _
    ByRef D As Double, _
    ByRef DU As Double, _
    ByRef DU2 As Double, _
    ByRef IPIV As Integer, _
    ByRef B As Double, _
    ByRef LDB As Integer, _
    ByRef RCOND As Double, _
    ByRef ERRBND As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F04BDF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef NRHS As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef B As Double, _
    ByRef LDB As Integer, _
    ByRef RCOND As Double, _
    ByRef ERRBND As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F04BEF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef NRHS As Integer, _
    ByRef AP As Double, _
    ByRef B As Double, _
    ByRef LDB As Integer, _
    ByRef RCOND As Double, _
    ByRef ERRBND As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F04BFF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef KD As Integer, _
    ByRef NRHS As Integer, _
    ByRef AB As Double, _
    ByRef LDAB As Integer, _
    ByRef B As Double, _
    ByRef LDB As Integer, _
    ByRef RCOND As Double, _
    ByRef ERRBND As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F04BGF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef NRHS As Integer, _
    ByRef D As Double, _
    ByRef E As Double, _
    ByRef B As Double, _
    ByRef LDB As Integer, _
    ByRef RCOND As Double, _
    ByRef ERRBND As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F04BHF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef NRHS As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef IPIV As Integer, _
    ByRef B As Double, _
    ByRef LDB As Integer, _
    ByRef RCOND As Double, _
    ByRef ERRBND As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F04BJF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef NRHS As Integer, _
    ByRef AP As Double, _
    ByRef IPIV As Integer, _
    ByRef B As Double, _
    ByRef LDB As Integer, _
    ByRef RCOND As Double, _
    ByRef ERRBND As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F04CAF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef NRHS As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef IPIV As Integer, _
    ByRef B As Complex, _
    ByRef LDB As Integer, _
    ByRef RCOND As Double, _
    ByRef ERRBND As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F04CBF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef KL As Integer, _
    ByRef KU As Integer, _
    ByRef NRHS As Integer, _
    ByRef AB As Complex, _
    ByRef LDAB As Integer, _
    ByRef IPIV As Integer, _
    ByRef B As Complex, _
    ByRef LDB As Integer, _
    ByRef RCOND As Double, _
    ByRef ERRBND As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F04CCF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef NRHS As Integer, _
    ByRef DL As Complex, _
    ByRef D As Complex, _
    ByRef DU As Complex, _
    ByRef DU2 As Complex, _
    ByRef IPIV As Integer, _
    ByRef B As Complex, _
    ByRef LDB As Integer, _
    ByRef RCOND As Double, _
    ByRef ERRBND As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F04CDF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef NRHS As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef B As Complex, _
    ByRef LDB As Integer, _
    ByRef RCOND As Double, _
    ByRef ERRBND As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F04CEF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef NRHS As Integer, _
    ByRef AP As Complex, _
    ByRef B As Complex, _
    ByRef LDB As Integer, _
    ByRef RCOND As Double, _
    ByRef ERRBND As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F04CFF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef KD As Integer, _
    ByRef NRHS As Integer, _
    ByRef AB As Complex, _
    ByRef LDAB As Integer, _
    ByRef B As Complex, _
    ByRef LDB As Integer, _
    ByRef RCOND As Double, _
    ByRef ERRBND As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F04CGF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef NRHS As Integer, _
    ByRef D As Double, _
    ByRef E As Complex, _
    ByRef B As Complex, _
    ByRef LDB As Integer, _
    ByRef RCOND As Double, _
    ByRef ERRBND As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F04CHF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef NRHS As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef IPIV As Integer, _
    ByRef B As Complex, _
    ByRef LDB As Integer, _
    ByRef RCOND As Double, _
    ByRef ERRBND As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F04CJF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef NRHS As Integer, _
    ByRef AP As Complex, _
    ByRef IPIV As Integer, _
    ByRef B As Complex, _
    ByRef LDB As Integer, _
    ByRef RCOND As Double, _
    ByRef ERRBND As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F04DHF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef NRHS As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef IPIV As Integer, _
    ByRef B As Complex, _
    ByRef LDB As Integer, _
    ByRef RCOND As Double, _
    ByRef ERRBND As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F04DJF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef NRHS As Integer, _
    ByRef AP As Complex, _
    ByRef IPIV As Integer, _
    ByRef B As Complex, _
    ByRef LDB As Integer, _
    ByRef RCOND As Double, _
    ByRef ERRBND As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F04EAF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef D As Double, _
    ByRef DU As Double, _
    ByRef DL As Double, _
    ByRef B As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F04FAF Lib "FLDLL224M_nag.dll" ( _
    ByRef JOB As Integer, _
    ByRef N As Integer, _
    ByRef D As Double, _
    ByRef E As Double, _
    ByRef B As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F04FEF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef T As Double, _
    ByRef X As Double, _
    ByRef WANTP As Integer, _
    ByRef P As Double, _
    ByRef WANTV As Integer, _
    ByRef V As Double, _
    ByRef VLAST As Double, _
    ByRef WORK As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F04FFF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef T As Double, _
    ByRef B As Double, _
    ByRef X As Double, _
    ByRef WANTP As Integer, _
    ByRef P As Double, _
    ByRef WORK As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F04JAF Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef B As Double, _
    ByRef TOL As Double, _
    ByRef SIGMA As Double, _
    ByRef IRANK As Integer, _
    ByRef WORK As Double, _
    ByRef LWORK As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F04JDF Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef B As Double, _
    ByRef TOL As Double, _
    ByRef SIGMA As Double, _
    ByRef IRANK As Integer, _
    ByRef WORK As Double, _
    ByRef LWORK As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F04JGF Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef B As Double, _
    ByRef TOL As Double, _
    ByRef SVD As Integer, _
    ByRef SIGMA As Double, _
    ByRef IRANK As Integer, _
    ByRef WORK As Double, _
    ByRef LWORK As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F04JLF Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef P As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef B As Double, _
    ByRef LDB As Integer, _
    ByRef D As Double, _
    ByRef X As Double, _
    ByRef Y As Double, _
    ByRef WORK As Double, _
    ByRef LWORK As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F04JMF Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef P As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef B As Double, _
    ByRef LDB As Integer, _
    ByRef C As Double, _
    ByRef D As Double, _
    ByRef X As Double, _
    ByRef WORK As Double, _
    ByRef LWORK As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F04KLF Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef P As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef B As Complex, _
    ByRef LDB As Integer, _
    ByRef D As Complex, _
    ByRef X As Complex, _
    ByRef Y As Complex, _
    ByRef WORK As Complex, _
    ByRef LWORK As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F04KMF Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef P As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef B As Complex, _
    ByRef LDB As Integer, _
    ByRef C As Complex, _
    ByRef D As Complex, _
    ByRef X As Complex, _
    ByRef WORK As Complex, _
    ByRef LWORK As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F04LEF Lib "FLDLL224M_nag.dll" ( _
    ByRef JOB As Integer, _
    ByRef N As Integer, _
    ByRef A As Double, _
    ByRef B As Double, _
    ByRef C As Double, _
    ByRef D As Double, _
    ByRef IPIV As Integer, _
    ByRef Y As Double, _
    ByRef TOL As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F04LHF Lib "FLDLL224M_nag.dll" ( _
    ByVal TRANS As string, ByVal TRANSLength As Integer, _
    ByRef N As Integer, _
    ByRef NBLOKS As Integer, _
    ByRef BLKSTR As Integer, _
    ByRef A As Double, _
    ByRef LENA As Integer, _
    ByRef PIVOT As Integer, _
    ByRef B As Double, _
    ByRef LDB As Integer, _
    ByRef IR As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F04MCF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef AL As Double, _
    ByRef LAL As Integer, _
    ByRef D As Double, _
    ByRef NROW As Integer, _
    ByRef IR As Integer, _
    ByRef B As Double, _
    ByRef LDB As Integer, _
    ByRef ISELCT As Integer, _
    ByRef X As Double, _
    ByRef LDX As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F04MEF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef T As Double, _
    ByRef X As Double, _
    ByRef V As Double, _
    ByRef WORK As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F04MFF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef T As Double, _
    ByRef B As Double, _
    ByRef X As Double, _
    ByRef P As Double, _
    ByRef WORK As Double, _
    ByRef IFAIL As Integer _
   )


  Delegate Sub F04QAF_APROD_DELEGATE( _
    ByRef MODE As Integer, _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByVal X_rptr As IntPtr, _
    ByVal Y_rptr As IntPtr, _
    ByVal RUSER_rptr As IntPtr, _
    ByRef LRUSER As Integer, _
    ByVal IUSER_iptr As IntPtr, _
    ByRef LIUSER As Integer _
  )

   Declare Sub F04QAF Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, ByRef N As Integer, ByRef B As Double, _
    ByRef X As Double, ByRef SE As Double, ByVal APROD As F04QAF_APROD_DELEGATE, _
    ByRef DAMP As Double, ByRef ATOL As Double, ByRef BTOL As Double, _
    ByRef CONLIM As Double, ByRef ITNLIM As Integer, ByRef MSGLVL As Integer, _
    ByRef ITN As Integer, ByRef ANORM As Double, ByRef ACOND As Double, _
    ByRef RNORM As Double, ByRef ARNORM As Double, ByRef XNORM As Double, _
    ByRef WORK As Double, ByRef RUSER As Double, ByRef LRUSER As Integer, _
    ByRef IUSER As Integer, ByRef LIUSER As Integer, ByRef INFORM As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F04YAF Lib "FLDLL224M_nag.dll" ( _
    ByRef JOB As Integer, _
    ByRef P As Integer, _
    ByRef SIGMA As Double, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef SVD As Integer, _
    ByRef IRANK As Integer, _
    ByRef SV As Double, _
    ByRef CJ As Double, _
    ByRef WORK As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F04YCF Lib "FLDLL224M_nag.dll" ( _
    ByRef ICASE As Integer, _
    ByRef N As Integer, _
    ByRef X As Double, _
    ByRef ESTNRM As Double, _
    ByRef WORK As Double, _
    ByRef IWORK As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F04ZCF Lib "FLDLL224M_nag.dll" ( _
    ByRef ICASE As Integer, _
    ByRef N As Integer, _
    ByRef X As Complex, _
    ByRef ESTNRM As Double, _
    ByRef WORK As Complex, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F05AAF Lib "FLDLL224M_nag.dll" ( _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef M As Integer, _
    ByRef N1 As Integer, _
    ByRef N2 As Integer, _
    ByRef S As Double, _
    ByRef CC As Double, _
    ByRef ICOL As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub DROTG Lib "FLDLL224M_nag.dll" ( _
    ByRef A As Double, _
    ByRef B As Double, _
    ByRef C As Double, _
    ByRef S As Double _
   )

   Declare Sub F06AAF Lib "FLDLL224M_nag.dll" ( _
    ByRef A As Double, _
    ByRef B As Double, _
    ByRef C As Double, _
    ByRef S As Double _
   )


   Declare Sub F06BAF Lib "FLDLL224M_nag.dll" ( _
    ByRef A As Double, _
    ByRef B As Double, _
    ByRef C As Double, _
    ByRef S As Double _
   )


   Declare Sub F06BCF Lib "FLDLL224M_nag.dll" ( _
    ByRef T As Double, _
    ByRef C As Double, _
    ByRef S As Double _
   )


   Declare Sub F06BEF Lib "FLDLL224M_nag.dll" ( _
    ByVal JOB As string, ByVal JOBLength As Integer, _
    ByRef X As Double, _
    ByRef Y As Double, _
    ByRef Z As Double, _
    ByRef C As Double, _
    ByRef S As Double _
   )


   Declare Sub F06BHF Lib "FLDLL224M_nag.dll" ( _
    ByRef X As Double, _
    ByRef Y As Double, _
    ByRef Z As Double, _
    ByRef C As Double, _
    ByRef S As Double _
   )


   Declare Function F06BLF Lib "FLDLL224M_nag.dll" ( _
    ByRef A As Double, _
    ByRef B As Double, _
    ByRef FAIL As Integer _
   ) as Double


   Declare Function F06BMF Lib "FLDLL224M_nag.dll" ( _
    ByRef SCAL As Double, _
    ByRef SSQ As Double _
   ) as Double


   Declare Function F06BNF Lib "FLDLL224M_nag.dll" ( _
    ByRef A As Double, _
    ByRef B As Double _
   ) as Double


   Declare Function F06BPF Lib "FLDLL224M_nag.dll" ( _
    ByRef A As Double, _
    ByRef B As Double, _
    ByRef C As Double _
   ) as Double


   Declare Sub F06CAF Lib "FLDLL224M_nag.dll" ( _
    ByRef A As Complex, _
    ByRef B As Complex, _
    ByRef C As Double, _
    ByRef S As Complex _
   )


   Declare Sub F06CBF Lib "FLDLL224M_nag.dll" ( _
    ByRef A As Complex, _
    ByRef B As Complex, _
    ByRef C As Complex, _
    ByRef S As Double _
   )


   Declare Sub F06CCF Lib "FLDLL224M_nag.dll" ( _
    ByRef T As Complex, _
    ByRef C As Double, _
    ByRef S As Complex _
   )


   Declare Sub F06CDF Lib "FLDLL224M_nag.dll" ( _
    ByRef T As Complex, _
    ByRef C As Complex, _
    ByRef S As Double _
   )


   Declare Sub F06CHF Lib "FLDLL224M_nag.dll" ( _
    ByRef X As Complex, _
    ByRef Y As Complex, _
    ByRef Z As Complex, _
    ByRef C As Double, _
    ByRef S As Complex _
   )


   Declare Function F06CLF Lib "FLDLL224M_nag.dll" ( _
    ByRef A As Complex, _
    ByRef B As Complex, _
    ByRef FAIL As Integer _
   ) as Complex


   Declare Sub F06DBF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef CON As Integer, _
    ByRef X As Integer, _
    ByRef INCX As Integer _
   )


   Declare Sub F06DFF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef X As Integer, _
    ByRef INCX As Integer, _
    ByRef Y As Integer, _
    ByRef INCY As Integer _
   )


   Declare Function DDOT Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef X As Double, _
    ByRef INCX As Integer, _
    ByRef Y As Double, _
    ByRef INCY As Integer _
   ) as Double

   Declare Function F06EAF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef X As Double, _
    ByRef INCX As Integer, _
    ByRef Y As Double, _
    ByRef INCY As Integer _
   ) as Double


   Declare Sub DAXPY Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef ALPHA As Double, _
    ByRef X As Double, _
    ByRef INCX As Integer, _
    ByRef Y As Double, _
    ByRef INCY As Integer _
   )

   Declare Sub F06ECF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef ALPHA As Double, _
    ByRef X As Double, _
    ByRef INCX As Integer, _
    ByRef Y As Double, _
    ByRef INCY As Integer _
   )


   Declare Sub DSCAL Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef ALPHA As Double, _
    ByRef X As Double, _
    ByRef INCX As Integer _
   )

   Declare Sub F06EDF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef ALPHA As Double, _
    ByRef X As Double, _
    ByRef INCX As Integer _
   )


   Declare Sub DCOPY Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef X As Double, _
    ByRef INCX As Integer, _
    ByRef Y As Double, _
    ByRef INCY As Integer _
   )

   Declare Sub F06EFF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef X As Double, _
    ByRef INCX As Integer, _
    ByRef Y As Double, _
    ByRef INCY As Integer _
   )


   Declare Sub DSWAP Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef X As Double, _
    ByRef INCX As Integer, _
    ByRef Y As Double, _
    ByRef INCY As Integer _
   )

   Declare Sub F06EGF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef X As Double, _
    ByRef INCX As Integer, _
    ByRef Y As Double, _
    ByRef INCY As Integer _
   )


   Declare Function DNRM2 Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef X As Double, _
    ByRef INCX As Integer _
   ) as Double

   Declare Function F06EJF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef X As Double, _
    ByRef INCX As Integer _
   ) as Double


   Declare Function DASUM Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef X As Double, _
    ByRef INCX As Integer _
   ) as Double

   Declare Function F06EKF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef X As Double, _
    ByRef INCX As Integer _
   ) as Double


   Declare Sub DROT Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef X As Double, _
    ByRef INCX As Integer, _
    ByRef Y As Double, _
    ByRef INCY As Integer, _
    ByRef C As Double, _
    ByRef S As Double _
   )

   Declare Sub F06EPF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef X As Double, _
    ByRef INCX As Integer, _
    ByRef Y As Double, _
    ByRef INCY As Integer, _
    ByRef C As Double, _
    ByRef S As Double _
   )


   Declare Function DDOTI Lib "FLDLL224M_nag.dll" ( _
    ByRef NZ As Integer, _
    ByRef X As Double, _
    ByRef INDX As Integer, _
    ByRef Y As Double _
   ) as Double

   Declare Function F06ERF Lib "FLDLL224M_nag.dll" ( _
    ByRef NZ As Integer, _
    ByRef X As Double, _
    ByRef INDX As Integer, _
    ByRef Y As Double _
   ) as Double


   Declare Sub DAXPYI Lib "FLDLL224M_nag.dll" ( _
    ByRef NZ As Integer, _
    ByRef A As Double, _
    ByRef X As Double, _
    ByRef INDX As Integer, _
    ByRef Y As Double _
   )

   Declare Sub F06ETF Lib "FLDLL224M_nag.dll" ( _
    ByRef NZ As Integer, _
    ByRef A As Double, _
    ByRef X As Double, _
    ByRef INDX As Integer, _
    ByRef Y As Double _
   )


   Declare Sub DGTHR Lib "FLDLL224M_nag.dll" ( _
    ByRef NZ As Integer, _
    ByRef Y As Double, _
    ByRef X As Double, _
    ByRef INDX As Integer _
   )

   Declare Sub F06EUF Lib "FLDLL224M_nag.dll" ( _
    ByRef NZ As Integer, _
    ByRef Y As Double, _
    ByRef X As Double, _
    ByRef INDX As Integer _
   )


   Declare Sub DGTHRZ Lib "FLDLL224M_nag.dll" ( _
    ByRef NZ As Integer, _
    ByRef Y As Double, _
    ByRef X As Double, _
    ByRef INDX As Integer _
   )

   Declare Sub F06EVF Lib "FLDLL224M_nag.dll" ( _
    ByRef NZ As Integer, _
    ByRef Y As Double, _
    ByRef X As Double, _
    ByRef INDX As Integer _
   )


   Declare Sub DSCTR Lib "FLDLL224M_nag.dll" ( _
    ByRef NZ As Integer, _
    ByRef X As Double, _
    ByRef INDX As Integer, _
    ByRef Y As Double _
   )

   Declare Sub F06EWF Lib "FLDLL224M_nag.dll" ( _
    ByRef NZ As Integer, _
    ByRef X As Double, _
    ByRef INDX As Integer, _
    ByRef Y As Double _
   )


   Declare Sub DROTI Lib "FLDLL224M_nag.dll" ( _
    ByRef NZ As Integer, _
    ByRef X As Double, _
    ByRef INDX As Integer, _
    ByRef Y As Double, _
    ByRef C As Double, _
    ByRef S As Double _
   )

   Declare Sub F06EXF Lib "FLDLL224M_nag.dll" ( _
    ByRef NZ As Integer, _
    ByRef X As Double, _
    ByRef INDX As Integer, _
    ByRef Y As Double, _
    ByRef C As Double, _
    ByRef S As Double _
   )


   Declare Function F06FAF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef J As Integer, _
    ByRef TOLX As Double, _
    ByRef X As Double, _
    ByRef INCX As Integer, _
    ByRef TOLY As Double, _
    ByRef Y As Double, _
    ByRef INCY As Integer _
   ) as Double


   Declare Sub F06FBF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef CON As Double, _
    ByRef X As Double, _
    ByRef INCX As Integer _
   )


   Declare Sub F06FCF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef D As Double, _
    ByRef INCD As Integer, _
    ByRef X As Double, _
    ByRef INCX As Integer _
   )


   Declare Sub F06FDF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef ALPHA As Double, _
    ByRef X As Double, _
    ByRef INCX As Integer, _
    ByRef Y As Double, _
    ByRef INCY As Integer _
   )


   Declare Sub F06FEF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef ALPHA As Double, _
    ByRef X As Double, _
    ByRef INCX As Integer _
   )


   Declare Sub F06FGF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef X As Double, _
    ByRef INCX As Integer _
   )


   Declare Sub F06FJF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef X As Double, _
    ByRef INCX As Integer, _
    ByRef SCAL As Double, _
    ByRef SUMSQ As Double _
   )


   Declare Function F06FKF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef W As Double, _
    ByRef INCW As Integer, _
    ByRef X As Double, _
    ByRef INCX As Integer _
   ) as Double


   Declare Sub F06FLF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef X As Double, _
    ByRef INCX As Integer, _
    ByRef XMAX As Double, _
    ByRef XMIN As Double _
   )


   Declare Sub F06FPF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef X As Double, _
    ByRef INCX As Integer, _
    ByRef Y As Double, _
    ByRef INCY As Integer, _
    ByRef C As Double, _
    ByRef S As Double _
   )


   Declare Sub F06FQF Lib "FLDLL224M_nag.dll" ( _
    ByVal PIVOT As string, ByVal PIVOTLength As Integer, _
    ByVal DIRECT As string, ByVal DIRECTLength As Integer, _
    ByRef N As Integer, _
    ByRef ALPHA As Double, _
    ByRef X As Double, _
    ByRef INCX As Integer, _
    ByRef C As Double, _
    ByRef S As Double _
   )


   Declare Sub F06FRF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef ALPHA As Double, _
    ByRef X As Double, _
    ByRef INCX As Integer, _
    ByRef TOL As Double, _
    ByRef ZETA As Double _
   )


   Declare Sub F06FSF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef ALPHA As Double, _
    ByRef X As Double, _
    ByRef INCX As Integer, _
    ByRef TOL As Double, _
    ByRef Z1 As Double _
   )


   Declare Sub F06FTF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef DELTA As Double, _
    ByRef Y As Double, _
    ByRef INCY As Integer, _
    ByRef ZETA As Double, _
    ByRef Z As Double, _
    ByRef INCZ As Integer _
   )


   Declare Sub F06FUF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef Z As Double, _
    ByRef INCZ As Integer, _
    ByRef Z1 As Double, _
    ByRef ALPHA As Double, _
    ByRef X As Double, _
    ByRef INCX As Integer _
   )


   Declare Function ZDOTU Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef X As Complex, _
    ByRef INCX As Integer, _
    ByRef Y As Complex, _
    ByRef INCY As Integer _
   ) as Complex

   Declare Function F06GAF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef X As Complex, _
    ByRef INCX As Integer, _
    ByRef Y As Complex, _
    ByRef INCY As Integer _
   ) as Complex


   Declare Function ZDOTC Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef X As Complex, _
    ByRef INCX As Integer, _
    ByRef Y As Complex, _
    ByRef INCY As Integer _
   ) as Complex

   Declare Function F06GBF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef X As Complex, _
    ByRef INCX As Integer, _
    ByRef Y As Complex, _
    ByRef INCY As Integer _
   ) as Complex


   Declare Sub ZAXPY Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef ALPHA As Complex, _
    ByRef X As Complex, _
    ByRef INCX As Integer, _
    ByRef Y As Complex, _
    ByRef INCY As Integer _
   )

   Declare Sub F06GCF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef ALPHA As Complex, _
    ByRef X As Complex, _
    ByRef INCX As Integer, _
    ByRef Y As Complex, _
    ByRef INCY As Integer _
   )


   Declare Sub ZSCAL Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef ALPHA As Complex, _
    ByRef X As Complex, _
    ByRef INCX As Integer _
   )

   Declare Sub F06GDF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef ALPHA As Complex, _
    ByRef X As Complex, _
    ByRef INCX As Integer _
   )


   Declare Sub ZCOPY Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef X As Complex, _
    ByRef INCX As Integer, _
    ByRef Y As Complex, _
    ByRef INCY As Integer _
   )

   Declare Sub F06GFF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef X As Complex, _
    ByRef INCX As Integer, _
    ByRef Y As Complex, _
    ByRef INCY As Integer _
   )


   Declare Sub ZSWAP Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef X As Complex, _
    ByRef INCX As Integer, _
    ByRef Y As Complex, _
    ByRef INCY As Integer _
   )

   Declare Sub F06GGF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef X As Complex, _
    ByRef INCX As Integer, _
    ByRef Y As Complex, _
    ByRef INCY As Integer _
   )


   Declare Function ZDOTUI Lib "FLDLL224M_nag.dll" ( _
    ByRef NZ As Integer, _
    ByRef X As Complex, _
    ByRef INDX As Integer, _
    ByRef Y As Complex _
   ) as Complex

   Declare Function F06GRF Lib "FLDLL224M_nag.dll" ( _
    ByRef NZ As Integer, _
    ByRef X As Complex, _
    ByRef INDX As Integer, _
    ByRef Y As Complex _
   ) as Complex


   Declare Function ZDOTCI Lib "FLDLL224M_nag.dll" ( _
    ByRef NZ As Integer, _
    ByRef X As Complex, _
    ByRef INDX As Integer, _
    ByRef Y As Complex _
   ) as Complex

   Declare Function F06GSF Lib "FLDLL224M_nag.dll" ( _
    ByRef NZ As Integer, _
    ByRef X As Complex, _
    ByRef INDX As Integer, _
    ByRef Y As Complex _
   ) as Complex


   Declare Sub ZAXPYI Lib "FLDLL224M_nag.dll" ( _
    ByRef NZ As Integer, _
    ByRef A As Complex, _
    ByRef X As Complex, _
    ByRef INDX As Integer, _
    ByRef Y As Complex _
   )

   Declare Sub F06GTF Lib "FLDLL224M_nag.dll" ( _
    ByRef NZ As Integer, _
    ByRef A As Complex, _
    ByRef X As Complex, _
    ByRef INDX As Integer, _
    ByRef Y As Complex _
   )


   Declare Sub ZGTHR Lib "FLDLL224M_nag.dll" ( _
    ByRef NZ As Integer, _
    ByRef Y As Complex, _
    ByRef X As Complex, _
    ByRef INDX As Integer _
   )

   Declare Sub F06GUF Lib "FLDLL224M_nag.dll" ( _
    ByRef NZ As Integer, _
    ByRef Y As Complex, _
    ByRef X As Complex, _
    ByRef INDX As Integer _
   )


   Declare Sub ZGTHRZ Lib "FLDLL224M_nag.dll" ( _
    ByRef NZ As Integer, _
    ByRef Y As Complex, _
    ByRef X As Complex, _
    ByRef INDX As Integer _
   )

   Declare Sub F06GVF Lib "FLDLL224M_nag.dll" ( _
    ByRef NZ As Integer, _
    ByRef Y As Complex, _
    ByRef X As Complex, _
    ByRef INDX As Integer _
   )


   Declare Sub ZSCTR Lib "FLDLL224M_nag.dll" ( _
    ByRef NZ As Integer, _
    ByRef X As Complex, _
    ByRef INDX As Integer, _
    ByRef Y As Complex _
   )

   Declare Sub F06GWF Lib "FLDLL224M_nag.dll" ( _
    ByRef NZ As Integer, _
    ByRef X As Complex, _
    ByRef INDX As Integer, _
    ByRef Y As Complex _
   )


   Declare Sub F06HBF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef CON As Complex, _
    ByRef X As Complex, _
    ByRef INCX As Integer _
   )


   Declare Sub F06HCF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef D As Complex, _
    ByRef INCD As Integer, _
    ByRef X As Complex, _
    ByRef INCX As Integer _
   )


   Declare Sub F06HDF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef ALPHA As Complex, _
    ByRef X As Complex, _
    ByRef INCX As Integer, _
    ByRef Y As Complex, _
    ByRef INCY As Integer _
   )


   Declare Sub F06HGF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef X As Complex, _
    ByRef INCX As Integer _
   )


   Declare Sub ZROT Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef CX As Complex, _
    ByRef INCX As Integer, _
    ByRef CY As Complex, _
    ByRef INCY As Integer, _
    ByRef C As Double, _
    ByRef S As Complex _
   )

   Declare Sub F06HMF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef CX As Complex, _
    ByRef INCX As Integer, _
    ByRef CY As Complex, _
    ByRef INCY As Integer, _
    ByRef C As Double, _
    ByRef S As Complex _
   )


   Declare Sub F06HPF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef X As Complex, _
    ByRef INCX As Integer, _
    ByRef Y As Complex, _
    ByRef INCY As Integer, _
    ByRef C As Complex, _
    ByRef S As Complex _
   )


   Declare Sub F06HQF Lib "FLDLL224M_nag.dll" ( _
    ByVal PIVOT As string, ByVal PIVOTLength As Integer, _
    ByVal DIRECT As string, ByVal DIRECTLength As Integer, _
    ByRef N As Integer, _
    ByRef ALPHA As Complex, _
    ByRef X As Complex, _
    ByRef INCX As Integer, _
    ByRef C As Double, _
    ByRef S As Complex _
   )


   Declare Sub F06HRF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef ALPHA As Complex, _
    ByRef X As Complex, _
    ByRef INCX As Integer, _
    ByRef TOL As Double, _
    ByRef THETA As Complex _
   )


   Declare Sub F06HTF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef DELTA As Complex, _
    ByRef Y As Complex, _
    ByRef INCY As Integer, _
    ByRef THETA As Complex, _
    ByRef Z As Complex, _
    ByRef INCZ As Integer _
   )


   Declare Sub ZDSCAL Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef ALPHA As Double, _
    ByRef X As Complex, _
    ByRef INCX As Integer _
   )

   Declare Sub F06JDF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef ALPHA As Double, _
    ByRef X As Complex, _
    ByRef INCX As Integer _
   )


   Declare Function DZNRM2 Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef X As Complex, _
    ByRef INCX As Integer _
   ) as Double

   Declare Function F06JJF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef X As Complex, _
    ByRef INCX As Integer _
   ) as Double


   Declare Function DZASUM Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef X As Complex, _
    ByRef INCX As Integer _
   ) as Double

   Declare Function F06JKF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef X As Complex, _
    ByRef INCX As Integer _
   ) as Double


   Declare Function IDAMAX Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef X As Double, _
    ByRef INCX As Integer _
   ) as Integer

   Declare Function F06JLF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef X As Double, _
    ByRef INCX As Integer _
   ) as Integer


   Declare Function IZAMAX Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef X As Complex, _
    ByRef INCX As Integer _
   ) as Integer

   Declare Function F06JMF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef X As Complex, _
    ByRef INCX As Integer _
   ) as Integer


   Declare Sub F06KCF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef D As Double, _
    ByRef INCD As Integer, _
    ByRef X As Complex, _
    ByRef INCX As Integer _
   )


   Declare Sub F06KDF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef ALPHA As Double, _
    ByRef X As Complex, _
    ByRef INCX As Integer, _
    ByRef Y As Complex, _
    ByRef INCY As Integer _
   )


   Declare Sub F06KEF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef ALPHA As Double, _
    ByRef X As Complex, _
    ByRef INCX As Integer _
   )


   Declare Sub F06KFF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef X As Double, _
    ByRef INCX As Integer, _
    ByRef Y As Complex, _
    ByRef INCY As Integer _
   )


   Declare Sub F06KJF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef X As Complex, _
    ByRef INCX As Integer, _
    ByRef SCAL As Double, _
    ByRef SUMSQ As Double _
   )


   Declare Function F06KLF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef X As Double, _
    ByRef INCX As Integer, _
    ByRef TOL As Double _
   ) as Integer


   Declare Sub F06KPF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef X As Complex, _
    ByRef INCX As Integer, _
    ByRef Y As Complex, _
    ByRef INCY As Integer, _
    ByRef C As Double, _
    ByRef S As Double _
   )


   Declare Sub DGEMV Lib "FLDLL224M_nag.dll" ( _
    ByVal TRANS As string, ByVal TRANSLength As Integer, _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef ALPHA As Double, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef X As Double, _
    ByRef INCX As Integer, _
    ByRef BETA As Double, _
    ByRef Y As Double, _
    ByRef INCY As Integer _
   )

   Declare Sub F06PAF Lib "FLDLL224M_nag.dll" ( _
    ByVal TRANS As string, ByVal TRANSLength As Integer, _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef ALPHA As Double, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef X As Double, _
    ByRef INCX As Integer, _
    ByRef BETA As Double, _
    ByRef Y As Double, _
    ByRef INCY As Integer _
   )


   Declare Sub DGBMV Lib "FLDLL224M_nag.dll" ( _
    ByVal TRANS As string, ByVal TRANSLength As Integer, _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef KL As Integer, _
    ByRef KU As Integer, _
    ByRef ALPHA As Double, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef X As Double, _
    ByRef INCX As Integer, _
    ByRef BETA As Double, _
    ByRef Y As Double, _
    ByRef INCY As Integer _
   )

   Declare Sub F06PBF Lib "FLDLL224M_nag.dll" ( _
    ByVal TRANS As string, ByVal TRANSLength As Integer, _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef KL As Integer, _
    ByRef KU As Integer, _
    ByRef ALPHA As Double, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef X As Double, _
    ByRef INCX As Integer, _
    ByRef BETA As Double, _
    ByRef Y As Double, _
    ByRef INCY As Integer _
   )


   Declare Sub DSYMV Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef ALPHA As Double, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef X As Double, _
    ByRef INCX As Integer, _
    ByRef BETA As Double, _
    ByRef Y As Double, _
    ByRef INCY As Integer _
   )

   Declare Sub F06PCF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef ALPHA As Double, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef X As Double, _
    ByRef INCX As Integer, _
    ByRef BETA As Double, _
    ByRef Y As Double, _
    ByRef INCY As Integer _
   )


   Declare Sub DSBMV Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef K As Integer, _
    ByRef ALPHA As Double, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef X As Double, _
    ByRef INCX As Integer, _
    ByRef BETA As Double, _
    ByRef Y As Double, _
    ByRef INCY As Integer _
   )

   Declare Sub F06PDF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef K As Integer, _
    ByRef ALPHA As Double, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef X As Double, _
    ByRef INCX As Integer, _
    ByRef BETA As Double, _
    ByRef Y As Double, _
    ByRef INCY As Integer _
   )


   Declare Sub DSPMV Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef ALPHA As Double, _
    ByRef AP As Double, _
    ByRef X As Double, _
    ByRef INCX As Integer, _
    ByRef BETA As Double, _
    ByRef Y As Double, _
    ByRef INCY As Integer _
   )

   Declare Sub F06PEF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef ALPHA As Double, _
    ByRef AP As Double, _
    ByRef X As Double, _
    ByRef INCX As Integer, _
    ByRef BETA As Double, _
    ByRef Y As Double, _
    ByRef INCY As Integer _
   )


   Declare Sub DTRMV Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByVal TRANS As string, ByVal TRANSLength As Integer, _
    ByVal DIAG As string, ByVal DIAGLength As Integer, _
    ByRef N As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef X As Double, _
    ByRef INCX As Integer _
   )

   Declare Sub F06PFF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByVal TRANS As string, ByVal TRANSLength As Integer, _
    ByVal DIAG As string, ByVal DIAGLength As Integer, _
    ByRef N As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef X As Double, _
    ByRef INCX As Integer _
   )


   Declare Sub DTBMV Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByVal TRANS As string, ByVal TRANSLength As Integer, _
    ByVal DIAG As string, ByVal DIAGLength As Integer, _
    ByRef N As Integer, _
    ByRef K As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef X As Double, _
    ByRef INCX As Integer _
   )

   Declare Sub F06PGF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByVal TRANS As string, ByVal TRANSLength As Integer, _
    ByVal DIAG As string, ByVal DIAGLength As Integer, _
    ByRef N As Integer, _
    ByRef K As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef X As Double, _
    ByRef INCX As Integer _
   )


   Declare Sub DTPMV Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByVal TRANS As string, ByVal TRANSLength As Integer, _
    ByVal DIAG As string, ByVal DIAGLength As Integer, _
    ByRef N As Integer, _
    ByRef AP As Double, _
    ByRef X As Double, _
    ByRef INCX As Integer _
   )

   Declare Sub F06PHF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByVal TRANS As string, ByVal TRANSLength As Integer, _
    ByVal DIAG As string, ByVal DIAGLength As Integer, _
    ByRef N As Integer, _
    ByRef AP As Double, _
    ByRef X As Double, _
    ByRef INCX As Integer _
   )


   Declare Sub DTRSV Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByVal TRANS As string, ByVal TRANSLength As Integer, _
    ByVal DIAG As string, ByVal DIAGLength As Integer, _
    ByRef N As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef X As Double, _
    ByRef INCX As Integer _
   )

   Declare Sub F06PJF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByVal TRANS As string, ByVal TRANSLength As Integer, _
    ByVal DIAG As string, ByVal DIAGLength As Integer, _
    ByRef N As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef X As Double, _
    ByRef INCX As Integer _
   )


   Declare Sub DTBSV Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByVal TRANS As string, ByVal TRANSLength As Integer, _
    ByVal DIAG As string, ByVal DIAGLength As Integer, _
    ByRef N As Integer, _
    ByRef K As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef X As Double, _
    ByRef INCX As Integer _
   )

   Declare Sub F06PKF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByVal TRANS As string, ByVal TRANSLength As Integer, _
    ByVal DIAG As string, ByVal DIAGLength As Integer, _
    ByRef N As Integer, _
    ByRef K As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef X As Double, _
    ByRef INCX As Integer _
   )


   Declare Sub DTPSV Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByVal TRANS As string, ByVal TRANSLength As Integer, _
    ByVal DIAG As string, ByVal DIAGLength As Integer, _
    ByRef N As Integer, _
    ByRef AP As Double, _
    ByRef X As Double, _
    ByRef INCX As Integer _
   )

   Declare Sub F06PLF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByVal TRANS As string, ByVal TRANSLength As Integer, _
    ByVal DIAG As string, ByVal DIAGLength As Integer, _
    ByRef N As Integer, _
    ByRef AP As Double, _
    ByRef X As Double, _
    ByRef INCX As Integer _
   )


   Declare Sub DGER Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef ALPHA As Double, _
    ByRef X As Double, _
    ByRef INCX As Integer, _
    ByRef Y As Double, _
    ByRef INCY As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer _
   )

   Declare Sub F06PMF Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef ALPHA As Double, _
    ByRef X As Double, _
    ByRef INCX As Integer, _
    ByRef Y As Double, _
    ByRef INCY As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer _
   )


   Declare Sub DSYR Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef ALPHA As Double, _
    ByRef X As Double, _
    ByRef INCX As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer _
   )

   Declare Sub F06PPF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef ALPHA As Double, _
    ByRef X As Double, _
    ByRef INCX As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer _
   )


   Declare Sub DSPR Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef ALPHA As Double, _
    ByRef X As Double, _
    ByRef INCX As Integer, _
    ByRef AP As Double _
   )

   Declare Sub F06PQF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef ALPHA As Double, _
    ByRef X As Double, _
    ByRef INCX As Integer, _
    ByRef AP As Double _
   )


   Declare Sub DSYR2 Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef ALPHA As Double, _
    ByRef X As Double, _
    ByRef INCX As Integer, _
    ByRef Y As Double, _
    ByRef INCY As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer _
   )

   Declare Sub F06PRF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef ALPHA As Double, _
    ByRef X As Double, _
    ByRef INCX As Integer, _
    ByRef Y As Double, _
    ByRef INCY As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer _
   )


   Declare Sub DSPR2 Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef ALPHA As Double, _
    ByRef X As Double, _
    ByRef INCX As Integer, _
    ByRef Y As Double, _
    ByRef INCY As Integer, _
    ByRef AP As Double _
   )

   Declare Sub F06PSF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef ALPHA As Double, _
    ByRef X As Double, _
    ByRef INCX As Integer, _
    ByRef Y As Double, _
    ByRef INCY As Integer, _
    ByRef AP As Double _
   )


   Declare Sub F06QFF Lib "FLDLL224M_nag.dll" ( _
    ByVal MATRIX As string, ByVal MATRIXLength As Integer, _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef B As Double, _
    ByRef LDB As Integer _
   )


   Declare Sub F06QHF Lib "FLDLL224M_nag.dll" ( _
    ByVal MATRIX As string, ByVal MATRIXLength As Integer, _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef CON As Double, _
    ByRef DIAG As Double, _
    ByRef A As Double, _
    ByRef LDA As Integer _
   )


   Declare Sub F06QJF Lib "FLDLL224M_nag.dll" ( _
    ByVal SIDE As string, ByVal SIDELength As Integer, _
    ByVal TRANS As string, ByVal TRANSLength As Integer, _
    ByRef N As Integer, _
    ByRef PERM As Integer, _
    ByRef K As Integer, _
    ByRef B As Double, _
    ByRef LDB As Integer _
   )


   Declare Sub F06QKF Lib "FLDLL224M_nag.dll" ( _
    ByVal SIDE As string, ByVal SIDELength As Integer, _
    ByVal TRANS As string, ByVal TRANSLength As Integer, _
    ByRef N As Integer, _
    ByRef PERM As Double, _
    ByRef K As Integer, _
    ByRef B As Double, _
    ByRef LDB As Integer _
   )


   Declare Sub F06QMF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByVal PIVOT As string, ByVal PIVOTLength As Integer, _
    ByVal DIRECT As string, ByVal DIRECTLength As Integer, _
    ByRef N As Integer, _
    ByRef K1 As Integer, _
    ByRef K2 As Integer, _
    ByRef C As Double, _
    ByRef S As Double, _
    ByRef A As Double, _
    ByRef LDA As Integer _
   )


   Declare Sub F06QPF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef ALPHA As Double, _
    ByRef X As Double, _
    ByRef INCX As Integer, _
    ByRef Y As Double, _
    ByRef INCY As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef C As Double, _
    ByRef S As Double _
   )


   Declare Sub F06QQF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef ALPHA As Double, _
    ByRef X As Double, _
    ByRef INCX As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef C As Double, _
    ByRef S As Double _
   )


   Declare Sub F06QRF Lib "FLDLL224M_nag.dll" ( _
    ByVal SIDE As string, ByVal SIDELength As Integer, _
    ByRef N As Integer, _
    ByRef K1 As Integer, _
    ByRef K2 As Integer, _
    ByRef C As Double, _
    ByRef S As Double, _
    ByRef A As Double, _
    ByRef LDA As Integer _
   )


   Declare Sub F06QSF Lib "FLDLL224M_nag.dll" ( _
    ByVal SIDE As string, ByVal SIDELength As Integer, _
    ByRef N As Integer, _
    ByRef K1 As Integer, _
    ByRef K2 As Integer, _
    ByRef C As Double, _
    ByRef S As Double, _
    ByRef A As Double, _
    ByRef LDA As Integer _
   )


   Declare Sub F06QTF Lib "FLDLL224M_nag.dll" ( _
    ByVal SIDE As string, ByVal SIDELength As Integer, _
    ByRef N As Integer, _
    ByRef K1 As Integer, _
    ByRef K2 As Integer, _
    ByRef C As Double, _
    ByRef S As Double, _
    ByRef A As Double, _
    ByRef LDA As Integer _
   )


   Declare Sub F06QVF Lib "FLDLL224M_nag.dll" ( _
    ByVal SIDE As string, ByVal SIDELength As Integer, _
    ByRef N As Integer, _
    ByRef K1 As Integer, _
    ByRef K2 As Integer, _
    ByRef C As Double, _
    ByRef S As Double, _
    ByRef A As Double, _
    ByRef LDA As Integer _
   )


   Declare Sub F06QWF Lib "FLDLL224M_nag.dll" ( _
    ByVal SIDE As string, ByVal SIDELength As Integer, _
    ByRef N As Integer, _
    ByRef K1 As Integer, _
    ByRef K2 As Integer, _
    ByRef C As Double, _
    ByRef S As Double, _
    ByRef A As Double, _
    ByRef LDA As Integer _
   )


   Declare Sub F06QXF Lib "FLDLL224M_nag.dll" ( _
    ByVal SIDE As string, ByVal SIDELength As Integer, _
    ByVal PIVOT As string, ByVal PIVOTLength As Integer, _
    ByVal DIRECT As string, ByVal DIRECTLength As Integer, _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef K1 As Integer, _
    ByRef K2 As Integer, _
    ByRef C As Double, _
    ByRef S As Double, _
    ByRef A As Double, _
    ByRef LDA As Integer _
   )


   Declare Function F06RAF Lib "FLDLL224M_nag.dll" ( _
    ByVal NORM As string, ByVal NORMLength As Integer, _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef WORK As Double _
   ) as Double


   Declare Function F06RBF Lib "FLDLL224M_nag.dll" ( _
    ByVal NORM As string, ByVal NORMLength As Integer, _
    ByRef N As Integer, _
    ByRef KL As Integer, _
    ByRef KU As Integer, _
    ByRef AB As Double, _
    ByRef LDAB As Integer, _
    ByRef WORK As Double _
   ) as Double


   Declare Function F06RCF Lib "FLDLL224M_nag.dll" ( _
    ByVal NORM As string, ByVal NORMLength As Integer, _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef WORK As Double _
   ) as Double


   Declare Function F06RDF Lib "FLDLL224M_nag.dll" ( _
    ByVal NORM As string, ByVal NORMLength As Integer, _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef AP As Double, _
    ByRef WORK As Double _
   ) as Double


   Declare Function F06REF Lib "FLDLL224M_nag.dll" ( _
    ByVal NORM As string, ByVal NORMLength As Integer, _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef K As Integer, _
    ByRef AB As Double, _
    ByRef LDAB As Integer, _
    ByRef WORK As Double _
   ) as Double


   Declare Function F06RJF Lib "FLDLL224M_nag.dll" ( _
    ByVal NORM As string, ByVal NORMLength As Integer, _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByVal DIAG As string, ByVal DIAGLength As Integer, _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef WORK As Double _
   ) as Double


   Declare Function F06RKF Lib "FLDLL224M_nag.dll" ( _
    ByVal NORM As string, ByVal NORMLength As Integer, _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByVal DIAG As string, ByVal DIAGLength As Integer, _
    ByRef N As Integer, _
    ByRef AP As Double, _
    ByRef WORK As Double _
   ) as Double


   Declare Function F06RLF Lib "FLDLL224M_nag.dll" ( _
    ByVal NORM As string, ByVal NORMLength As Integer, _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByVal DIAG As string, ByVal DIAGLength As Integer, _
    ByRef N As Integer, _
    ByRef K As Integer, _
    ByRef AB As Double, _
    ByRef LDAB As Integer, _
    ByRef WORK As Double _
   ) as Double


   Declare Function F06RMF Lib "FLDLL224M_nag.dll" ( _
    ByVal NORM As string, ByVal NORMLength As Integer, _
    ByRef N As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef WORK As Double _
   ) as Double


   Declare Function F06RNF Lib "FLDLL224M_nag.dll" ( _
    ByVal NORM As string, ByVal NORMLength As Integer, _
    ByRef N As Integer, _
    ByRef DL As Double, _
    ByRef D As Double, _
    ByRef DU As Double _
   ) as Double


   Declare Function F06RPF Lib "FLDLL224M_nag.dll" ( _
    ByVal NORM As string, ByVal NORMLength As Integer, _
    ByRef N As Integer, _
    ByRef D As Double, _
    ByRef E As Double _
   ) as Double


   Declare Sub ZGEMV Lib "FLDLL224M_nag.dll" ( _
    ByVal TRANS As string, ByVal TRANSLength As Integer, _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef ALPHA As Complex, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef X As Complex, _
    ByRef INCX As Integer, _
    ByRef BETA As Complex, _
    ByRef Y As Complex, _
    ByRef INCY As Integer _
   )

   Declare Sub F06SAF Lib "FLDLL224M_nag.dll" ( _
    ByVal TRANS As string, ByVal TRANSLength As Integer, _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef ALPHA As Complex, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef X As Complex, _
    ByRef INCX As Integer, _
    ByRef BETA As Complex, _
    ByRef Y As Complex, _
    ByRef INCY As Integer _
   )


   Declare Sub ZGBMV Lib "FLDLL224M_nag.dll" ( _
    ByVal TRANS As string, ByVal TRANSLength As Integer, _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef KL As Integer, _
    ByRef KU As Integer, _
    ByRef ALPHA As Complex, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef X As Complex, _
    ByRef INCX As Integer, _
    ByRef BETA As Complex, _
    ByRef Y As Complex, _
    ByRef INCY As Integer _
   )

   Declare Sub F06SBF Lib "FLDLL224M_nag.dll" ( _
    ByVal TRANS As string, ByVal TRANSLength As Integer, _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef KL As Integer, _
    ByRef KU As Integer, _
    ByRef ALPHA As Complex, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef X As Complex, _
    ByRef INCX As Integer, _
    ByRef BETA As Complex, _
    ByRef Y As Complex, _
    ByRef INCY As Integer _
   )


   Declare Sub ZHEMV Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef ALPHA As Complex, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef X As Complex, _
    ByRef INCX As Integer, _
    ByRef BETA As Complex, _
    ByRef Y As Complex, _
    ByRef INCY As Integer _
   )

   Declare Sub F06SCF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef ALPHA As Complex, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef X As Complex, _
    ByRef INCX As Integer, _
    ByRef BETA As Complex, _
    ByRef Y As Complex, _
    ByRef INCY As Integer _
   )


   Declare Sub ZHBMV Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef K As Integer, _
    ByRef ALPHA As Complex, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef X As Complex, _
    ByRef INCX As Integer, _
    ByRef BETA As Complex, _
    ByRef Y As Complex, _
    ByRef INCY As Integer _
   )

   Declare Sub F06SDF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef K As Integer, _
    ByRef ALPHA As Complex, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef X As Complex, _
    ByRef INCX As Integer, _
    ByRef BETA As Complex, _
    ByRef Y As Complex, _
    ByRef INCY As Integer _
   )


   Declare Sub ZHPMV Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef ALPHA As Complex, _
    ByRef AP As Complex, _
    ByRef X As Complex, _
    ByRef INCX As Integer, _
    ByRef BETA As Complex, _
    ByRef Y As Complex, _
    ByRef INCY As Integer _
   )

   Declare Sub F06SEF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef ALPHA As Complex, _
    ByRef AP As Complex, _
    ByRef X As Complex, _
    ByRef INCX As Integer, _
    ByRef BETA As Complex, _
    ByRef Y As Complex, _
    ByRef INCY As Integer _
   )


   Declare Sub ZTRMV Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByVal TRANS As string, ByVal TRANSLength As Integer, _
    ByVal DIAG As string, ByVal DIAGLength As Integer, _
    ByRef N As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef X As Complex, _
    ByRef INCX As Integer _
   )

   Declare Sub F06SFF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByVal TRANS As string, ByVal TRANSLength As Integer, _
    ByVal DIAG As string, ByVal DIAGLength As Integer, _
    ByRef N As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef X As Complex, _
    ByRef INCX As Integer _
   )


   Declare Sub ZTBMV Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByVal TRANS As string, ByVal TRANSLength As Integer, _
    ByVal DIAG As string, ByVal DIAGLength As Integer, _
    ByRef N As Integer, _
    ByRef K As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef X As Complex, _
    ByRef INCX As Integer _
   )

   Declare Sub F06SGF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByVal TRANS As string, ByVal TRANSLength As Integer, _
    ByVal DIAG As string, ByVal DIAGLength As Integer, _
    ByRef N As Integer, _
    ByRef K As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef X As Complex, _
    ByRef INCX As Integer _
   )


   Declare Sub ZTPMV Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByVal TRANS As string, ByVal TRANSLength As Integer, _
    ByVal DIAG As string, ByVal DIAGLength As Integer, _
    ByRef N As Integer, _
    ByRef AP As Complex, _
    ByRef X As Complex, _
    ByRef INCX As Integer _
   )

   Declare Sub F06SHF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByVal TRANS As string, ByVal TRANSLength As Integer, _
    ByVal DIAG As string, ByVal DIAGLength As Integer, _
    ByRef N As Integer, _
    ByRef AP As Complex, _
    ByRef X As Complex, _
    ByRef INCX As Integer _
   )


   Declare Sub ZTRSV Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByVal TRANS As string, ByVal TRANSLength As Integer, _
    ByVal DIAG As string, ByVal DIAGLength As Integer, _
    ByRef N As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef X As Complex, _
    ByRef INCX As Integer _
   )

   Declare Sub F06SJF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByVal TRANS As string, ByVal TRANSLength As Integer, _
    ByVal DIAG As string, ByVal DIAGLength As Integer, _
    ByRef N As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef X As Complex, _
    ByRef INCX As Integer _
   )


   Declare Sub ZTBSV Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByVal TRANS As string, ByVal TRANSLength As Integer, _
    ByVal DIAG As string, ByVal DIAGLength As Integer, _
    ByRef N As Integer, _
    ByRef K As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef X As Complex, _
    ByRef INCX As Integer _
   )

   Declare Sub F06SKF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByVal TRANS As string, ByVal TRANSLength As Integer, _
    ByVal DIAG As string, ByVal DIAGLength As Integer, _
    ByRef N As Integer, _
    ByRef K As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef X As Complex, _
    ByRef INCX As Integer _
   )


   Declare Sub ZTPSV Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByVal TRANS As string, ByVal TRANSLength As Integer, _
    ByVal DIAG As string, ByVal DIAGLength As Integer, _
    ByRef N As Integer, _
    ByRef AP As Complex, _
    ByRef X As Complex, _
    ByRef INCX As Integer _
   )

   Declare Sub F06SLF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByVal TRANS As string, ByVal TRANSLength As Integer, _
    ByVal DIAG As string, ByVal DIAGLength As Integer, _
    ByRef N As Integer, _
    ByRef AP As Complex, _
    ByRef X As Complex, _
    ByRef INCX As Integer _
   )


   Declare Sub ZGERU Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef ALPHA As Complex, _
    ByRef X As Complex, _
    ByRef INCX As Integer, _
    ByRef Y As Complex, _
    ByRef INCY As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer _
   )

   Declare Sub F06SMF Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef ALPHA As Complex, _
    ByRef X As Complex, _
    ByRef INCX As Integer, _
    ByRef Y As Complex, _
    ByRef INCY As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer _
   )


   Declare Sub ZGERC Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef ALPHA As Complex, _
    ByRef X As Complex, _
    ByRef INCX As Integer, _
    ByRef Y As Complex, _
    ByRef INCY As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer _
   )

   Declare Sub F06SNF Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef ALPHA As Complex, _
    ByRef X As Complex, _
    ByRef INCX As Integer, _
    ByRef Y As Complex, _
    ByRef INCY As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer _
   )


   Declare Sub ZHER Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef ALPHA As Double, _
    ByRef X As Complex, _
    ByRef INCX As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer _
   )

   Declare Sub F06SPF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef ALPHA As Double, _
    ByRef X As Complex, _
    ByRef INCX As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer _
   )


   Declare Sub ZHPR Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef ALPHA As Double, _
    ByRef X As Complex, _
    ByRef INCX As Integer, _
    ByRef AP As Complex _
   )

   Declare Sub F06SQF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef ALPHA As Double, _
    ByRef X As Complex, _
    ByRef INCX As Integer, _
    ByRef AP As Complex _
   )


   Declare Sub ZHER2 Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef ALPHA As Complex, _
    ByRef X As Complex, _
    ByRef INCX As Integer, _
    ByRef Y As Complex, _
    ByRef INCY As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer _
   )

   Declare Sub F06SRF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef ALPHA As Complex, _
    ByRef X As Complex, _
    ByRef INCX As Integer, _
    ByRef Y As Complex, _
    ByRef INCY As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer _
   )


   Declare Sub ZHPR2 Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef ALPHA As Complex, _
    ByRef X As Complex, _
    ByRef INCX As Integer, _
    ByRef Y As Complex, _
    ByRef INCY As Integer, _
    ByRef AP As Complex _
   )

   Declare Sub F06SSF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef ALPHA As Complex, _
    ByRef X As Complex, _
    ByRef INCX As Integer, _
    ByRef Y As Complex, _
    ByRef INCY As Integer, _
    ByRef AP As Complex _
   )


   Declare Sub F06TAF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef ALPHA As Complex, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef X As Complex, _
    ByRef INCX As Integer, _
    ByRef BETA As Complex, _
    ByRef Y As Complex, _
    ByRef INCY As Integer _
   )


   Declare Sub F06TBF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef ALPHA As Complex, _
    ByRef X As Complex, _
    ByRef INCX As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer _
   )


   Declare Sub F06TCF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef ALPHA As Complex, _
    ByRef AP As Complex, _
    ByRef X As Complex, _
    ByRef INCX As Integer, _
    ByRef BETA As Complex, _
    ByRef Y As Complex, _
    ByRef INCY As Integer _
   )


   Declare Sub F06TDF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef ALPHA As Complex, _
    ByRef X As Complex, _
    ByRef INCX As Integer, _
    ByRef AP As Complex _
   )


   Declare Sub F06TFF Lib "FLDLL224M_nag.dll" ( _
    ByVal MATRIX As string, ByVal MATRIXLength As Integer, _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef B As Complex, _
    ByRef LDB As Integer _
   )


   Declare Sub F06THF Lib "FLDLL224M_nag.dll" ( _
    ByVal MATRIX As string, ByVal MATRIXLength As Integer, _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef CON As Complex, _
    ByRef DIAG As Complex, _
    ByRef A As Complex, _
    ByRef LDA As Integer _
   )


   Declare Sub F06TMF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByVal PIVOT As string, ByVal PIVOTLength As Integer, _
    ByVal DIRECT As string, ByVal DIRECTLength As Integer, _
    ByRef N As Integer, _
    ByRef K1 As Integer, _
    ByRef K2 As Integer, _
    ByRef C As Double, _
    ByRef S As Complex, _
    ByRef A As Complex, _
    ByRef LDA As Integer _
   )


   Declare Sub F06TPF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef ALPHA As Complex, _
    ByRef X As Complex, _
    ByRef INCX As Integer, _
    ByRef Y As Complex, _
    ByRef INCY As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef C As Double, _
    ByRef S As Complex _
   )


   Declare Sub F06TQF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef ALPHA As Complex, _
    ByRef X As Complex, _
    ByRef INCX As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef C As Double, _
    ByRef S As Complex _
   )


   Declare Sub F06TRF Lib "FLDLL224M_nag.dll" ( _
    ByVal SIDE As string, ByVal SIDELength As Integer, _
    ByRef N As Integer, _
    ByRef K1 As Integer, _
    ByRef K2 As Integer, _
    ByRef C As Complex, _
    ByRef S As Double, _
    ByRef A As Complex, _
    ByRef LDA As Integer _
   )


   Declare Sub F06TSF Lib "FLDLL224M_nag.dll" ( _
    ByVal SIDE As string, ByVal SIDELength As Integer, _
    ByRef N As Integer, _
    ByRef K1 As Integer, _
    ByRef K2 As Integer, _
    ByRef C As Double, _
    ByRef S As Complex, _
    ByRef A As Complex, _
    ByRef LDA As Integer _
   )


   Declare Sub F06TTF Lib "FLDLL224M_nag.dll" ( _
    ByVal SIDE As string, ByVal SIDELength As Integer, _
    ByRef N As Integer, _
    ByRef K1 As Integer, _
    ByRef K2 As Integer, _
    ByRef C As Double, _
    ByRef S As Complex, _
    ByRef A As Complex, _
    ByRef LDA As Integer _
   )


   Declare Sub F06TVF Lib "FLDLL224M_nag.dll" ( _
    ByVal SIDE As string, ByVal SIDELength As Integer, _
    ByRef N As Integer, _
    ByRef K1 As Integer, _
    ByRef K2 As Integer, _
    ByRef C As Complex, _
    ByRef S As Double, _
    ByRef A As Complex, _
    ByRef LDA As Integer _
   )


   Declare Sub F06TWF Lib "FLDLL224M_nag.dll" ( _
    ByVal SIDE As string, ByVal SIDELength As Integer, _
    ByRef N As Integer, _
    ByRef K1 As Integer, _
    ByRef K2 As Integer, _
    ByRef C As Double, _
    ByRef S As Complex, _
    ByRef A As Complex, _
    ByRef LDA As Integer _
   )


   Declare Sub F06TXF Lib "FLDLL224M_nag.dll" ( _
    ByVal SIDE As string, ByVal SIDELength As Integer, _
    ByVal PIVOT As string, ByVal PIVOTLength As Integer, _
    ByVal DIRECT As string, ByVal DIRECTLength As Integer, _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef K1 As Integer, _
    ByRef K2 As Integer, _
    ByRef C As Double, _
    ByRef S As Complex, _
    ByRef A As Complex, _
    ByRef LDA As Integer _
   )


   Declare Sub F06TYF Lib "FLDLL224M_nag.dll" ( _
    ByVal SIDE As string, ByVal SIDELength As Integer, _
    ByVal PIVOT As string, ByVal PIVOTLength As Integer, _
    ByVal DIRECT As string, ByVal DIRECTLength As Integer, _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef K1 As Integer, _
    ByRef K2 As Integer, _
    ByRef C As Complex, _
    ByRef S As Double, _
    ByRef A As Complex, _
    ByRef LDA As Integer _
   )


   Declare Function F06UAF Lib "FLDLL224M_nag.dll" ( _
    ByVal NORM As string, ByVal NORMLength As Integer, _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef WORK As Double _
   ) as Double


   Declare Function F06UBF Lib "FLDLL224M_nag.dll" ( _
    ByVal NORM As string, ByVal NORMLength As Integer, _
    ByRef N As Integer, _
    ByRef KL As Integer, _
    ByRef KU As Integer, _
    ByRef AB As Complex, _
    ByRef LDAB As Integer, _
    ByRef WORK As Double _
   ) as Double


   Declare Function F06UCF Lib "FLDLL224M_nag.dll" ( _
    ByVal NORM As string, ByVal NORMLength As Integer, _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef WORK As Double _
   ) as Double


   Declare Function F06UDF Lib "FLDLL224M_nag.dll" ( _
    ByVal NORM As string, ByVal NORMLength As Integer, _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef AP As Complex, _
    ByRef WORK As Double _
   ) as Double


   Declare Function F06UEF Lib "FLDLL224M_nag.dll" ( _
    ByVal NORM As string, ByVal NORMLength As Integer, _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef K As Integer, _
    ByRef AB As Complex, _
    ByRef LDAB As Integer, _
    ByRef WORK As Double _
   ) as Double


   Declare Function F06UFF Lib "FLDLL224M_nag.dll" ( _
    ByVal NORM As string, ByVal NORMLength As Integer, _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef WORK As Double _
   ) as Double


   Declare Function F06UGF Lib "FLDLL224M_nag.dll" ( _
    ByVal NORM As string, ByVal NORMLength As Integer, _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef AP As Complex, _
    ByRef WORK As Double _
   ) as Double


   Declare Function F06UHF Lib "FLDLL224M_nag.dll" ( _
    ByVal NORM As string, ByVal NORMLength As Integer, _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef K As Integer, _
    ByRef AB As Complex, _
    ByRef LDAB As Integer, _
    ByRef WORK As Double _
   ) as Double


   Declare Function F06UJF Lib "FLDLL224M_nag.dll" ( _
    ByVal NORM As string, ByVal NORMLength As Integer, _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByVal DIAG As string, ByVal DIAGLength As Integer, _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef WORK As Double _
   ) as Double


   Declare Function F06UKF Lib "FLDLL224M_nag.dll" ( _
    ByVal NORM As string, ByVal NORMLength As Integer, _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByVal DIAG As string, ByVal DIAGLength As Integer, _
    ByRef N As Integer, _
    ByRef AP As Complex, _
    ByRef WORK As Double _
   ) as Double


   Declare Function F06ULF Lib "FLDLL224M_nag.dll" ( _
    ByVal NORM As string, ByVal NORMLength As Integer, _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByVal DIAG As string, ByVal DIAGLength As Integer, _
    ByRef N As Integer, _
    ByRef K As Integer, _
    ByRef AB As Complex, _
    ByRef LDAB As Integer, _
    ByRef WORK As Double _
   ) as Double


   Declare Function F06UMF Lib "FLDLL224M_nag.dll" ( _
    ByVal NORM As string, ByVal NORMLength As Integer, _
    ByRef N As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef WORK As Double _
   ) as Double


   Declare Function F06UNF Lib "FLDLL224M_nag.dll" ( _
    ByVal NORM As string, ByVal NORMLength As Integer, _
    ByRef N As Integer, _
    ByRef DL As Complex, _
    ByRef D As Complex, _
    ByRef DU As Complex _
   ) as Double


   Declare Function F06UPF Lib "FLDLL224M_nag.dll" ( _
    ByVal NORM As string, ByVal NORMLength As Integer, _
    ByRef N As Integer, _
    ByRef D As Double, _
    ByRef E As Complex _
   ) as Double


   Declare Sub F06VJF Lib "FLDLL224M_nag.dll" ( _
    ByVal SIDE As string, ByVal SIDELength As Integer, _
    ByVal TRANS As string, ByVal TRANSLength As Integer, _
    ByRef N As Integer, _
    ByRef PERM As Integer, _
    ByRef K As Integer, _
    ByRef B As Complex, _
    ByRef LDB As Integer _
   )


   Declare Sub F06VKF Lib "FLDLL224M_nag.dll" ( _
    ByVal SIDE As string, ByVal SIDELength As Integer, _
    ByVal TRANS As string, ByVal TRANSLength As Integer, _
    ByRef N As Integer, _
    ByRef PERM As Double, _
    ByRef K As Integer, _
    ByRef B As Complex, _
    ByRef LDB As Integer _
   )


   Declare Sub F06VXF Lib "FLDLL224M_nag.dll" ( _
    ByVal SIDE As string, ByVal SIDELength As Integer, _
    ByVal PIVOT As string, ByVal PIVOTLength As Integer, _
    ByVal DIRECT As string, ByVal DIRECTLength As Integer, _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef K1 As Integer, _
    ByRef K2 As Integer, _
    ByRef C As Double, _
    ByRef S As Double, _
    ByRef A As Complex, _
    ByRef LDA As Integer _
   )


   Declare Sub DGEMM Lib "FLDLL224M_nag.dll" ( _
    ByVal TRANSA As string, ByVal TRANSALength As Integer, _
    ByVal TRANSB As string, ByVal TRANSBLength As Integer, _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef K As Integer, _
    ByRef ALPHA As Double, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef B As Double, _
    ByRef LDB As Integer, _
    ByRef BETA As Double, _
    ByRef C As Double, _
    ByRef LDC As Integer _
   )

   Declare Sub F06YAF Lib "FLDLL224M_nag.dll" ( _
    ByVal TRANSA As string, ByVal TRANSALength As Integer, _
    ByVal TRANSB As string, ByVal TRANSBLength As Integer, _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef K As Integer, _
    ByRef ALPHA As Double, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef B As Double, _
    ByRef LDB As Integer, _
    ByRef BETA As Double, _
    ByRef C As Double, _
    ByRef LDC As Integer _
   )


   Declare Sub DSYMM Lib "FLDLL224M_nag.dll" ( _
    ByVal SIDE As string, ByVal SIDELength As Integer, _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef ALPHA As Double, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef B As Double, _
    ByRef LDB As Integer, _
    ByRef BETA As Double, _
    ByRef C As Double, _
    ByRef LDC As Integer _
   )

   Declare Sub F06YCF Lib "FLDLL224M_nag.dll" ( _
    ByVal SIDE As string, ByVal SIDELength As Integer, _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef ALPHA As Double, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef B As Double, _
    ByRef LDB As Integer, _
    ByRef BETA As Double, _
    ByRef C As Double, _
    ByRef LDC As Integer _
   )


   Declare Sub DTRMM Lib "FLDLL224M_nag.dll" ( _
    ByVal SIDE As string, ByVal SIDELength As Integer, _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByVal TRANSA As string, ByVal TRANSALength As Integer, _
    ByVal DIAG As string, ByVal DIAGLength As Integer, _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef ALPHA As Double, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef B As Double, _
    ByRef LDB As Integer _
   )

   Declare Sub F06YFF Lib "FLDLL224M_nag.dll" ( _
    ByVal SIDE As string, ByVal SIDELength As Integer, _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByVal TRANSA As string, ByVal TRANSALength As Integer, _
    ByVal DIAG As string, ByVal DIAGLength As Integer, _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef ALPHA As Double, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef B As Double, _
    ByRef LDB As Integer _
   )


   Declare Sub DTRSM Lib "FLDLL224M_nag.dll" ( _
    ByVal SIDE As string, ByVal SIDELength As Integer, _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByVal TRANSA As string, ByVal TRANSALength As Integer, _
    ByVal DIAG As string, ByVal DIAGLength As Integer, _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef ALPHA As Double, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef B As Double, _
    ByRef LDB As Integer _
   )

   Declare Sub F06YJF Lib "FLDLL224M_nag.dll" ( _
    ByVal SIDE As string, ByVal SIDELength As Integer, _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByVal TRANSA As string, ByVal TRANSALength As Integer, _
    ByVal DIAG As string, ByVal DIAGLength As Integer, _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef ALPHA As Double, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef B As Double, _
    ByRef LDB As Integer _
   )


   Declare Sub DSYRK Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByVal TRANS As string, ByVal TRANSLength As Integer, _
    ByRef N As Integer, _
    ByRef K As Integer, _
    ByRef ALPHA As Double, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef BETA As Double, _
    ByRef C As Double, _
    ByRef LDC As Integer _
   )

   Declare Sub F06YPF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByVal TRANS As string, ByVal TRANSLength As Integer, _
    ByRef N As Integer, _
    ByRef K As Integer, _
    ByRef ALPHA As Double, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef BETA As Double, _
    ByRef C As Double, _
    ByRef LDC As Integer _
   )


   Declare Sub DSYR2K Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByVal TRANS As string, ByVal TRANSLength As Integer, _
    ByRef N As Integer, _
    ByRef K As Integer, _
    ByRef ALPHA As Double, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef B As Double, _
    ByRef LDB As Integer, _
    ByRef BETA As Double, _
    ByRef C As Double, _
    ByRef LDC As Integer _
   )

   Declare Sub F06YRF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByVal TRANS As string, ByVal TRANSLength As Integer, _
    ByRef N As Integer, _
    ByRef K As Integer, _
    ByRef ALPHA As Double, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef B As Double, _
    ByRef LDB As Integer, _
    ByRef BETA As Double, _
    ByRef C As Double, _
    ByRef LDC As Integer _
   )


   Declare Sub ZGEMM Lib "FLDLL224M_nag.dll" ( _
    ByVal TRANSA As string, ByVal TRANSALength As Integer, _
    ByVal TRANSB As string, ByVal TRANSBLength As Integer, _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef K As Integer, _
    ByRef ALPHA As Complex, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef B As Complex, _
    ByRef LDB As Integer, _
    ByRef BETA As Complex, _
    ByRef C As Complex, _
    ByRef LDC As Integer _
   )

   Declare Sub F06ZAF Lib "FLDLL224M_nag.dll" ( _
    ByVal TRANSA As string, ByVal TRANSALength As Integer, _
    ByVal TRANSB As string, ByVal TRANSBLength As Integer, _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef K As Integer, _
    ByRef ALPHA As Complex, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef B As Complex, _
    ByRef LDB As Integer, _
    ByRef BETA As Complex, _
    ByRef C As Complex, _
    ByRef LDC As Integer _
   )


   Declare Sub ZHEMM Lib "FLDLL224M_nag.dll" ( _
    ByVal SIDE As string, ByVal SIDELength As Integer, _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef ALPHA As Complex, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef B As Complex, _
    ByRef LDB As Integer, _
    ByRef BETA As Complex, _
    ByRef C As Complex, _
    ByRef LDC As Integer _
   )

   Declare Sub F06ZCF Lib "FLDLL224M_nag.dll" ( _
    ByVal SIDE As string, ByVal SIDELength As Integer, _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef ALPHA As Complex, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef B As Complex, _
    ByRef LDB As Integer, _
    ByRef BETA As Complex, _
    ByRef C As Complex, _
    ByRef LDC As Integer _
   )


   Declare Sub ZTRMM Lib "FLDLL224M_nag.dll" ( _
    ByVal SIDE As string, ByVal SIDELength As Integer, _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByVal TRANSA As string, ByVal TRANSALength As Integer, _
    ByVal DIAG As string, ByVal DIAGLength As Integer, _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef ALPHA As Complex, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef B As Complex, _
    ByRef LDB As Integer _
   )

   Declare Sub F06ZFF Lib "FLDLL224M_nag.dll" ( _
    ByVal SIDE As string, ByVal SIDELength As Integer, _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByVal TRANSA As string, ByVal TRANSALength As Integer, _
    ByVal DIAG As string, ByVal DIAGLength As Integer, _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef ALPHA As Complex, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef B As Complex, _
    ByRef LDB As Integer _
   )


   Declare Sub ZTRSM Lib "FLDLL224M_nag.dll" ( _
    ByVal SIDE As string, ByVal SIDELength As Integer, _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByVal TRANSA As string, ByVal TRANSALength As Integer, _
    ByVal DIAG As string, ByVal DIAGLength As Integer, _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef ALPHA As Complex, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef B As Complex, _
    ByRef LDB As Integer _
   )

   Declare Sub F06ZJF Lib "FLDLL224M_nag.dll" ( _
    ByVal SIDE As string, ByVal SIDELength As Integer, _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByVal TRANSA As string, ByVal TRANSALength As Integer, _
    ByVal DIAG As string, ByVal DIAGLength As Integer, _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef ALPHA As Complex, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef B As Complex, _
    ByRef LDB As Integer _
   )


   Declare Sub ZHERK Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByVal TRANS As string, ByVal TRANSLength As Integer, _
    ByRef N As Integer, _
    ByRef K As Integer, _
    ByRef ALPHA As Double, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef BETA As Double, _
    ByRef C As Complex, _
    ByRef LDC As Integer _
   )

   Declare Sub F06ZPF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByVal TRANS As string, ByVal TRANSLength As Integer, _
    ByRef N As Integer, _
    ByRef K As Integer, _
    ByRef ALPHA As Double, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef BETA As Double, _
    ByRef C As Complex, _
    ByRef LDC As Integer _
   )


   Declare Sub ZHER2K Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByVal TRANS As string, ByVal TRANSLength As Integer, _
    ByRef N As Integer, _
    ByRef K As Integer, _
    ByRef ALPHA As Complex, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef B As Complex, _
    ByRef LDB As Integer, _
    ByRef BETA As Double, _
    ByRef C As Complex, _
    ByRef LDC As Integer _
   )

   Declare Sub F06ZRF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByVal TRANS As string, ByVal TRANSLength As Integer, _
    ByRef N As Integer, _
    ByRef K As Integer, _
    ByRef ALPHA As Complex, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef B As Complex, _
    ByRef LDB As Integer, _
    ByRef BETA As Double, _
    ByRef C As Complex, _
    ByRef LDC As Integer _
   )


   Declare Sub ZSYMM Lib "FLDLL224M_nag.dll" ( _
    ByVal SIDE As string, ByVal SIDELength As Integer, _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef ALPHA As Complex, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef B As Complex, _
    ByRef LDB As Integer, _
    ByRef BETA As Complex, _
    ByRef C As Complex, _
    ByRef LDC As Integer _
   )

   Declare Sub F06ZTF Lib "FLDLL224M_nag.dll" ( _
    ByVal SIDE As string, ByVal SIDELength As Integer, _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef ALPHA As Complex, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef B As Complex, _
    ByRef LDB As Integer, _
    ByRef BETA As Complex, _
    ByRef C As Complex, _
    ByRef LDC As Integer _
   )


   Declare Sub ZSYRK Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByVal TRANS As string, ByVal TRANSLength As Integer, _
    ByRef N As Integer, _
    ByRef K As Integer, _
    ByRef ALPHA As Complex, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef BETA As Complex, _
    ByRef C As Complex, _
    ByRef LDC As Integer _
   )

   Declare Sub F06ZUF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByVal TRANS As string, ByVal TRANSLength As Integer, _
    ByRef N As Integer, _
    ByRef K As Integer, _
    ByRef ALPHA As Complex, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef BETA As Complex, _
    ByRef C As Complex, _
    ByRef LDC As Integer _
   )


   Declare Sub ZSYR2K Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByVal TRANS As string, ByVal TRANSLength As Integer, _
    ByRef N As Integer, _
    ByRef K As Integer, _
    ByRef ALPHA As Complex, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef B As Complex, _
    ByRef LDB As Integer, _
    ByRef BETA As Complex, _
    ByRef C As Complex, _
    ByRef LDC As Integer _
   )

   Declare Sub F06ZWF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByVal TRANS As string, ByVal TRANSLength As Integer, _
    ByRef N As Integer, _
    ByRef K As Integer, _
    ByRef ALPHA As Complex, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef B As Complex, _
    ByRef LDB As Integer, _
    ByRef BETA As Complex, _
    ByRef C As Complex, _
    ByRef LDC As Integer _
   )


   Declare Sub DGESV Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef NRHS As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef IPIV As Integer, _
    ByRef B As Double, _
    ByRef LDB As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F07AAF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef NRHS As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef IPIV As Integer, _
    ByRef B As Double, _
    ByRef LDB As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub DGESVX Lib "FLDLL224M_nag.dll" ( _
    ByVal FACT As string, ByVal FACTLength As Integer, ByVal TRANS As string, ByVal TRANSLength As Integer, ByRef N As Integer, _
    ByRef NRHS As Integer, ByRef A As Double, ByRef LDA As Integer, _
    ByRef AF As Double, ByRef LDAF As Integer, ByRef IPIV As Integer, _
    ByVal EQUED As string, ByVal EQUEDLength As Integer, ByRef R As Double, ByRef C As Double, _
    ByRef B As Double, ByRef LDB As Integer, ByRef X As Double, _
    ByRef LDX As Integer, ByRef RCOND As Double, ByRef FERR As Double, _
    ByRef BERR As Double, ByRef WORK As Double, ByRef IWORK As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F07ABF Lib "FLDLL224M_nag.dll" ( _
    ByVal FACT As string, ByVal FACTLength As Integer, ByVal TRANS As string, ByVal TRANSLength As Integer, ByRef N As Integer, _
    ByRef NRHS As Integer, ByRef A As Double, ByRef LDA As Integer, _
    ByRef AF As Double, ByRef LDAF As Integer, ByRef IPIV As Integer, _
    ByVal EQUED As string, ByVal EQUEDLength As Integer, ByRef R As Double, ByRef C As Double, _
    ByRef B As Double, ByRef LDB As Integer, ByRef X As Double, _
    ByRef LDX As Integer, ByRef RCOND As Double, ByRef FERR As Double, _
    ByRef BERR As Double, ByRef WORK As Double, ByRef IWORK As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub DSGESV Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef NRHS As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef IPIV As Integer, _
    ByRef B As Double, _
    ByRef LDB As Integer, _
    ByRef X As Double, _
    ByRef LDX As Integer, _
    ByRef WORK As Double, _
    ByRef SWORK As Single, _
    ByRef ITER As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F07ACF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef NRHS As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef IPIV As Integer, _
    ByRef B As Double, _
    ByRef LDB As Integer, _
    ByRef X As Double, _
    ByRef LDX As Integer, _
    ByRef WORK As Double, _
    ByRef SWORK As Single, _
    ByRef ITER As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub DGETRF Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef IPIV As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F07ADF Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef IPIV As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub DGETRS Lib "FLDLL224M_nag.dll" ( _
    ByVal TRANS As string, ByVal TRANSLength As Integer, _
    ByRef N As Integer, _
    ByRef NRHS As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef IPIV As Integer, _
    ByRef B As Double, _
    ByRef LDB As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F07AEF Lib "FLDLL224M_nag.dll" ( _
    ByVal TRANS As string, ByVal TRANSLength As Integer, _
    ByRef N As Integer, _
    ByRef NRHS As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef IPIV As Integer, _
    ByRef B As Double, _
    ByRef LDB As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub DGEEQU Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef R As Double, _
    ByRef C As Double, _
    ByRef ROWCND As Double, _
    ByRef COLCND As Double, _
    ByRef AMAX As Double, _
    ByRef INFO As Integer _
   )

   Declare Sub F07AFF Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef R As Double, _
    ByRef C As Double, _
    ByRef ROWCND As Double, _
    ByRef COLCND As Double, _
    ByRef AMAX As Double, _
    ByRef INFO As Integer _
   )


   Declare Sub DGECON Lib "FLDLL224M_nag.dll" ( _
    ByVal NORM As string, ByVal NORMLength As Integer, _
    ByRef N As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef ANORM As Double, _
    ByRef RCOND As Double, _
    ByRef WORK As Double, _
    ByRef IWORK As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F07AGF Lib "FLDLL224M_nag.dll" ( _
    ByVal NORM As string, ByVal NORMLength As Integer, _
    ByRef N As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef ANORM As Double, _
    ByRef RCOND As Double, _
    ByRef WORK As Double, _
    ByRef IWORK As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub DGERFS Lib "FLDLL224M_nag.dll" ( _
    ByVal TRANS As string, ByVal TRANSLength As Integer, _
    ByRef N As Integer, _
    ByRef NRHS As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef AF As Double, _
    ByRef LDAF As Integer, _
    ByRef IPIV As Integer, _
    ByRef B As Double, _
    ByRef LDB As Integer, _
    ByRef X As Double, _
    ByRef LDX As Integer, _
    ByRef FERR As Double, _
    ByRef BERR As Double, _
    ByRef WORK As Double, _
    ByRef IWORK As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F07AHF Lib "FLDLL224M_nag.dll" ( _
    ByVal TRANS As string, ByVal TRANSLength As Integer, _
    ByRef N As Integer, _
    ByRef NRHS As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef AF As Double, _
    ByRef LDAF As Integer, _
    ByRef IPIV As Integer, _
    ByRef B As Double, _
    ByRef LDB As Integer, _
    ByRef X As Double, _
    ByRef LDX As Integer, _
    ByRef FERR As Double, _
    ByRef BERR As Double, _
    ByRef WORK As Double, _
    ByRef IWORK As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub DGETRI Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef IPIV As Integer, _
    ByRef WORK As Double, _
    ByRef LWORK As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F07AJF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef IPIV As Integer, _
    ByRef WORK As Double, _
    ByRef LWORK As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub ZGESV Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef NRHS As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef IPIV As Integer, _
    ByRef B As Complex, _
    ByRef LDB As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F07ANF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef NRHS As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef IPIV As Integer, _
    ByRef B As Complex, _
    ByRef LDB As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub ZGESVX Lib "FLDLL224M_nag.dll" ( _
    ByVal FACT As string, ByVal FACTLength As Integer, ByVal TRANS As string, ByVal TRANSLength As Integer, ByRef N As Integer, _
    ByRef NRHS As Integer, ByRef A As Complex, ByRef LDA As Integer, _
    ByRef AF As Complex, ByRef LDAF As Integer, ByRef IPIV As Integer, _
    ByVal EQUED As string, ByVal EQUEDLength As Integer, ByRef R As Double, ByRef C As Double, _
    ByRef B As Complex, ByRef LDB As Integer, ByRef X As Complex, _
    ByRef LDX As Integer, ByRef RCOND As Double, ByRef FERR As Double, _
    ByRef BERR As Double, ByRef WORK As Complex, ByRef RWORK As Double, _
    ByRef INFO As Integer _
   )

   Declare Sub F07APF Lib "FLDLL224M_nag.dll" ( _
    ByVal FACT As string, ByVal FACTLength As Integer, ByVal TRANS As string, ByVal TRANSLength As Integer, ByRef N As Integer, _
    ByRef NRHS As Integer, ByRef A As Complex, ByRef LDA As Integer, _
    ByRef AF As Complex, ByRef LDAF As Integer, ByRef IPIV As Integer, _
    ByVal EQUED As string, ByVal EQUEDLength As Integer, ByRef R As Double, ByRef C As Double, _
    ByRef B As Complex, ByRef LDB As Integer, ByRef X As Complex, _
    ByRef LDX As Integer, ByRef RCOND As Double, ByRef FERR As Double, _
    ByRef BERR As Double, ByRef WORK As Complex, ByRef RWORK As Double, _
    ByRef INFO As Integer _
   )


   Declare Sub ZCGESV Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef NRHS As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef IPIV As Integer, _
    ByRef B As Complex, _
    ByRef LDB As Integer, _
    ByRef X As Complex, _
    ByRef LDX As Integer, _
    ByRef WORK As Complex, _
    ByRef SWORK As ComplexSingle, _
    ByRef ITER As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F07AQF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef NRHS As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef IPIV As Integer, _
    ByRef B As Complex, _
    ByRef LDB As Integer, _
    ByRef X As Complex, _
    ByRef LDX As Integer, _
    ByRef WORK As Complex, _
    ByRef SWORK As ComplexSingle, _
    ByRef ITER As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub ZGETRF Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef IPIV As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F07ARF Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef IPIV As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub ZGETRS Lib "FLDLL224M_nag.dll" ( _
    ByVal TRANS As string, ByVal TRANSLength As Integer, _
    ByRef N As Integer, _
    ByRef NRHS As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef IPIV As Integer, _
    ByRef B As Complex, _
    ByRef LDB As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F07ASF Lib "FLDLL224M_nag.dll" ( _
    ByVal TRANS As string, ByVal TRANSLength As Integer, _
    ByRef N As Integer, _
    ByRef NRHS As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef IPIV As Integer, _
    ByRef B As Complex, _
    ByRef LDB As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub ZGEEQU Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef R As Double, _
    ByRef C As Double, _
    ByRef ROWCND As Double, _
    ByRef COLCND As Double, _
    ByRef AMAX As Double, _
    ByRef INFO As Integer _
   )

   Declare Sub F07ATF Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef R As Double, _
    ByRef C As Double, _
    ByRef ROWCND As Double, _
    ByRef COLCND As Double, _
    ByRef AMAX As Double, _
    ByRef INFO As Integer _
   )


   Declare Sub ZGECON Lib "FLDLL224M_nag.dll" ( _
    ByVal NORM As string, ByVal NORMLength As Integer, _
    ByRef N As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef ANORM As Double, _
    ByRef RCOND As Double, _
    ByRef WORK As Complex, _
    ByRef RWORK As Double, _
    ByRef INFO As Integer _
   )

   Declare Sub F07AUF Lib "FLDLL224M_nag.dll" ( _
    ByVal NORM As string, ByVal NORMLength As Integer, _
    ByRef N As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef ANORM As Double, _
    ByRef RCOND As Double, _
    ByRef WORK As Complex, _
    ByRef RWORK As Double, _
    ByRef INFO As Integer _
   )


   Declare Sub ZGERFS Lib "FLDLL224M_nag.dll" ( _
    ByVal TRANS As string, ByVal TRANSLength As Integer, _
    ByRef N As Integer, _
    ByRef NRHS As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef AF As Complex, _
    ByRef LDAF As Integer, _
    ByRef IPIV As Integer, _
    ByRef B As Complex, _
    ByRef LDB As Integer, _
    ByRef X As Complex, _
    ByRef LDX As Integer, _
    ByRef FERR As Double, _
    ByRef BERR As Double, _
    ByRef WORK As Complex, _
    ByRef RWORK As Double, _
    ByRef INFO As Integer _
   )

   Declare Sub F07AVF Lib "FLDLL224M_nag.dll" ( _
    ByVal TRANS As string, ByVal TRANSLength As Integer, _
    ByRef N As Integer, _
    ByRef NRHS As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef AF As Complex, _
    ByRef LDAF As Integer, _
    ByRef IPIV As Integer, _
    ByRef B As Complex, _
    ByRef LDB As Integer, _
    ByRef X As Complex, _
    ByRef LDX As Integer, _
    ByRef FERR As Double, _
    ByRef BERR As Double, _
    ByRef WORK As Complex, _
    ByRef RWORK As Double, _
    ByRef INFO As Integer _
   )


   Declare Sub ZGETRI Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef IPIV As Integer, _
    ByRef WORK As Complex, _
    ByRef LWORK As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F07AWF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef IPIV As Integer, _
    ByRef WORK As Complex, _
    ByRef LWORK As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub DGBSV Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef KL As Integer, _
    ByRef KU As Integer, _
    ByRef NRHS As Integer, _
    ByRef AB As Double, _
    ByRef LDAB As Integer, _
    ByRef IPIV As Integer, _
    ByRef B As Double, _
    ByRef LDB As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F07BAF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef KL As Integer, _
    ByRef KU As Integer, _
    ByRef NRHS As Integer, _
    ByRef AB As Double, _
    ByRef LDAB As Integer, _
    ByRef IPIV As Integer, _
    ByRef B As Double, _
    ByRef LDB As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub DGBSVX Lib "FLDLL224M_nag.dll" ( _
    ByVal FACT As string, ByVal FACTLength As Integer, ByVal TRANS As string, ByVal TRANSLength As Integer, ByRef N As Integer, _
    ByRef KL As Integer, ByRef KU As Integer, ByRef NRHS As Integer, _
    ByRef AB As Double, ByRef LDAB As Integer, ByRef AFB As Double, _
    ByRef LDAFB As Integer, ByRef IPIV As Integer, ByVal EQUED As string, ByVal EQUEDLength As Integer, _
    ByRef R As Double, ByRef C As Double, ByRef B As Double, _
    ByRef LDB As Integer, ByRef X As Double, ByRef LDX As Integer, _
    ByRef RCOND As Double, ByRef FERR As Double, ByRef BERR As Double, _
    ByRef WORK As Double, ByRef IWORK As Integer, ByRef INFO As Integer _
   )

   Declare Sub F07BBF Lib "FLDLL224M_nag.dll" ( _
    ByVal FACT As string, ByVal FACTLength As Integer, ByVal TRANS As string, ByVal TRANSLength As Integer, ByRef N As Integer, _
    ByRef KL As Integer, ByRef KU As Integer, ByRef NRHS As Integer, _
    ByRef AB As Double, ByRef LDAB As Integer, ByRef AFB As Double, _
    ByRef LDAFB As Integer, ByRef IPIV As Integer, ByVal EQUED As string, ByVal EQUEDLength As Integer, _
    ByRef R As Double, ByRef C As Double, ByRef B As Double, _
    ByRef LDB As Integer, ByRef X As Double, ByRef LDX As Integer, _
    ByRef RCOND As Double, ByRef FERR As Double, ByRef BERR As Double, _
    ByRef WORK As Double, ByRef IWORK As Integer, ByRef INFO As Integer _
   )


   Declare Sub DGBTRF Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef KL As Integer, _
    ByRef KU As Integer, _
    ByRef AB As Double, _
    ByRef LDAB As Integer, _
    ByRef IPIV As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F07BDF Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef KL As Integer, _
    ByRef KU As Integer, _
    ByRef AB As Double, _
    ByRef LDAB As Integer, _
    ByRef IPIV As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub DGBTRS Lib "FLDLL224M_nag.dll" ( _
    ByVal TRANS As string, ByVal TRANSLength As Integer, _
    ByRef N As Integer, _
    ByRef KL As Integer, _
    ByRef KU As Integer, _
    ByRef NRHS As Integer, _
    ByRef AB As Double, _
    ByRef LDAB As Integer, _
    ByRef IPIV As Integer, _
    ByRef B As Double, _
    ByRef LDB As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F07BEF Lib "FLDLL224M_nag.dll" ( _
    ByVal TRANS As string, ByVal TRANSLength As Integer, _
    ByRef N As Integer, _
    ByRef KL As Integer, _
    ByRef KU As Integer, _
    ByRef NRHS As Integer, _
    ByRef AB As Double, _
    ByRef LDAB As Integer, _
    ByRef IPIV As Integer, _
    ByRef B As Double, _
    ByRef LDB As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub DGBEQU Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef KL As Integer, _
    ByRef KU As Integer, _
    ByRef AB As Double, _
    ByRef LDAB As Integer, _
    ByRef R As Double, _
    ByRef C As Double, _
    ByRef ROWCND As Double, _
    ByRef COLCND As Double, _
    ByRef AMAX As Double, _
    ByRef INFO As Integer _
   )

   Declare Sub F07BFF Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef KL As Integer, _
    ByRef KU As Integer, _
    ByRef AB As Double, _
    ByRef LDAB As Integer, _
    ByRef R As Double, _
    ByRef C As Double, _
    ByRef ROWCND As Double, _
    ByRef COLCND As Double, _
    ByRef AMAX As Double, _
    ByRef INFO As Integer _
   )


   Declare Sub DGBCON Lib "FLDLL224M_nag.dll" ( _
    ByVal NORM As string, ByVal NORMLength As Integer, _
    ByRef N As Integer, _
    ByRef KL As Integer, _
    ByRef KU As Integer, _
    ByRef AB As Double, _
    ByRef LDAB As Integer, _
    ByRef IPIV As Integer, _
    ByRef ANORM As Double, _
    ByRef RCOND As Double, _
    ByRef WORK As Double, _
    ByRef IWORK As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F07BGF Lib "FLDLL224M_nag.dll" ( _
    ByVal NORM As string, ByVal NORMLength As Integer, _
    ByRef N As Integer, _
    ByRef KL As Integer, _
    ByRef KU As Integer, _
    ByRef AB As Double, _
    ByRef LDAB As Integer, _
    ByRef IPIV As Integer, _
    ByRef ANORM As Double, _
    ByRef RCOND As Double, _
    ByRef WORK As Double, _
    ByRef IWORK As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub DGBRFS Lib "FLDLL224M_nag.dll" ( _
    ByVal TRANS As string, ByVal TRANSLength As Integer, _
    ByRef N As Integer, _
    ByRef KL As Integer, _
    ByRef KU As Integer, _
    ByRef NRHS As Integer, _
    ByRef AB As Double, _
    ByRef LDAB As Integer, _
    ByRef AFB As Double, _
    ByRef LDAFB As Integer, _
    ByRef IPIV As Integer, _
    ByRef B As Double, _
    ByRef LDB As Integer, _
    ByRef X As Double, _
    ByRef LDX As Integer, _
    ByRef FERR As Double, _
    ByRef BERR As Double, _
    ByRef WORK As Double, _
    ByRef IWORK As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F07BHF Lib "FLDLL224M_nag.dll" ( _
    ByVal TRANS As string, ByVal TRANSLength As Integer, _
    ByRef N As Integer, _
    ByRef KL As Integer, _
    ByRef KU As Integer, _
    ByRef NRHS As Integer, _
    ByRef AB As Double, _
    ByRef LDAB As Integer, _
    ByRef AFB As Double, _
    ByRef LDAFB As Integer, _
    ByRef IPIV As Integer, _
    ByRef B As Double, _
    ByRef LDB As Integer, _
    ByRef X As Double, _
    ByRef LDX As Integer, _
    ByRef FERR As Double, _
    ByRef BERR As Double, _
    ByRef WORK As Double, _
    ByRef IWORK As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub ZGBSV Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef KL As Integer, _
    ByRef KU As Integer, _
    ByRef NRHS As Integer, _
    ByRef AB As Complex, _
    ByRef LDAB As Integer, _
    ByRef IPIV As Integer, _
    ByRef B As Complex, _
    ByRef LDB As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F07BNF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef KL As Integer, _
    ByRef KU As Integer, _
    ByRef NRHS As Integer, _
    ByRef AB As Complex, _
    ByRef LDAB As Integer, _
    ByRef IPIV As Integer, _
    ByRef B As Complex, _
    ByRef LDB As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub ZGBSVX Lib "FLDLL224M_nag.dll" ( _
    ByVal FACT As string, ByVal FACTLength As Integer, ByVal TRANS As string, ByVal TRANSLength As Integer, ByRef N As Integer, _
    ByRef KL As Integer, ByRef KU As Integer, ByRef NRHS As Integer, _
    ByRef AB As Complex, ByRef LDAB As Integer, ByRef AFB As Complex, _
    ByRef LDAFB As Integer, ByRef IPIV As Integer, ByVal EQUED As string, ByVal EQUEDLength As Integer, _
    ByRef R As Double, ByRef C As Double, ByRef B As Complex, _
    ByRef LDB As Integer, ByRef X As Complex, ByRef LDX As Integer, _
    ByRef RCOND As Double, ByRef FERR As Double, ByRef BERR As Double, _
    ByRef WORK As Complex, ByRef RWORK As Double, ByRef INFO As Integer _
   )

   Declare Sub F07BPF Lib "FLDLL224M_nag.dll" ( _
    ByVal FACT As string, ByVal FACTLength As Integer, ByVal TRANS As string, ByVal TRANSLength As Integer, ByRef N As Integer, _
    ByRef KL As Integer, ByRef KU As Integer, ByRef NRHS As Integer, _
    ByRef AB As Complex, ByRef LDAB As Integer, ByRef AFB As Complex, _
    ByRef LDAFB As Integer, ByRef IPIV As Integer, ByVal EQUED As string, ByVal EQUEDLength As Integer, _
    ByRef R As Double, ByRef C As Double, ByRef B As Complex, _
    ByRef LDB As Integer, ByRef X As Complex, ByRef LDX As Integer, _
    ByRef RCOND As Double, ByRef FERR As Double, ByRef BERR As Double, _
    ByRef WORK As Complex, ByRef RWORK As Double, ByRef INFO As Integer _
   )


   Declare Sub ZGBTRF Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef KL As Integer, _
    ByRef KU As Integer, _
    ByRef AB As Complex, _
    ByRef LDAB As Integer, _
    ByRef IPIV As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F07BRF Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef KL As Integer, _
    ByRef KU As Integer, _
    ByRef AB As Complex, _
    ByRef LDAB As Integer, _
    ByRef IPIV As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub ZGBTRS Lib "FLDLL224M_nag.dll" ( _
    ByVal TRANS As string, ByVal TRANSLength As Integer, _
    ByRef N As Integer, _
    ByRef KL As Integer, _
    ByRef KU As Integer, _
    ByRef NRHS As Integer, _
    ByRef AB As Complex, _
    ByRef LDAB As Integer, _
    ByRef IPIV As Integer, _
    ByRef B As Complex, _
    ByRef LDB As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F07BSF Lib "FLDLL224M_nag.dll" ( _
    ByVal TRANS As string, ByVal TRANSLength As Integer, _
    ByRef N As Integer, _
    ByRef KL As Integer, _
    ByRef KU As Integer, _
    ByRef NRHS As Integer, _
    ByRef AB As Complex, _
    ByRef LDAB As Integer, _
    ByRef IPIV As Integer, _
    ByRef B As Complex, _
    ByRef LDB As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub ZGBEQU Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef KL As Integer, _
    ByRef KU As Integer, _
    ByRef AB As Complex, _
    ByRef LDAB As Integer, _
    ByRef R As Double, _
    ByRef C As Double, _
    ByRef ROWCND As Double, _
    ByRef COLCND As Double, _
    ByRef AMAX As Double, _
    ByRef INFO As Integer _
   )

   Declare Sub F07BTF Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef KL As Integer, _
    ByRef KU As Integer, _
    ByRef AB As Complex, _
    ByRef LDAB As Integer, _
    ByRef R As Double, _
    ByRef C As Double, _
    ByRef ROWCND As Double, _
    ByRef COLCND As Double, _
    ByRef AMAX As Double, _
    ByRef INFO As Integer _
   )


   Declare Sub ZGBCON Lib "FLDLL224M_nag.dll" ( _
    ByVal NORM As string, ByVal NORMLength As Integer, _
    ByRef N As Integer, _
    ByRef KL As Integer, _
    ByRef KU As Integer, _
    ByRef AB As Complex, _
    ByRef LDAB As Integer, _
    ByRef IPIV As Integer, _
    ByRef ANORM As Double, _
    ByRef RCOND As Double, _
    ByRef WORK As Complex, _
    ByRef RWORK As Double, _
    ByRef INFO As Integer _
   )

   Declare Sub F07BUF Lib "FLDLL224M_nag.dll" ( _
    ByVal NORM As string, ByVal NORMLength As Integer, _
    ByRef N As Integer, _
    ByRef KL As Integer, _
    ByRef KU As Integer, _
    ByRef AB As Complex, _
    ByRef LDAB As Integer, _
    ByRef IPIV As Integer, _
    ByRef ANORM As Double, _
    ByRef RCOND As Double, _
    ByRef WORK As Complex, _
    ByRef RWORK As Double, _
    ByRef INFO As Integer _
   )


   Declare Sub ZGBRFS Lib "FLDLL224M_nag.dll" ( _
    ByVal TRANS As string, ByVal TRANSLength As Integer, _
    ByRef N As Integer, _
    ByRef KL As Integer, _
    ByRef KU As Integer, _
    ByRef NRHS As Integer, _
    ByRef AB As Complex, _
    ByRef LDAB As Integer, _
    ByRef AFB As Complex, _
    ByRef LDAFB As Integer, _
    ByRef IPIV As Integer, _
    ByRef B As Complex, _
    ByRef LDB As Integer, _
    ByRef X As Complex, _
    ByRef LDX As Integer, _
    ByRef FERR As Double, _
    ByRef BERR As Double, _
    ByRef WORK As Complex, _
    ByRef RWORK As Double, _
    ByRef INFO As Integer _
   )

   Declare Sub F07BVF Lib "FLDLL224M_nag.dll" ( _
    ByVal TRANS As string, ByVal TRANSLength As Integer, _
    ByRef N As Integer, _
    ByRef KL As Integer, _
    ByRef KU As Integer, _
    ByRef NRHS As Integer, _
    ByRef AB As Complex, _
    ByRef LDAB As Integer, _
    ByRef AFB As Complex, _
    ByRef LDAFB As Integer, _
    ByRef IPIV As Integer, _
    ByRef B As Complex, _
    ByRef LDB As Integer, _
    ByRef X As Complex, _
    ByRef LDX As Integer, _
    ByRef FERR As Double, _
    ByRef BERR As Double, _
    ByRef WORK As Complex, _
    ByRef RWORK As Double, _
    ByRef INFO As Integer _
   )


   Declare Sub DGTSV Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef NRHS As Integer, _
    ByRef DL As Double, _
    ByRef D As Double, _
    ByRef DU As Double, _
    ByRef B As Double, _
    ByRef LDB As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F07CAF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef NRHS As Integer, _
    ByRef DL As Double, _
    ByRef D As Double, _
    ByRef DU As Double, _
    ByRef B As Double, _
    ByRef LDB As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub DGTSVX Lib "FLDLL224M_nag.dll" ( _
    ByVal FACT As string, ByVal FACTLength As Integer, ByVal TRANS As string, ByVal TRANSLength As Integer, ByRef N As Integer, _
    ByRef NRHS As Integer, ByRef DL As Double, ByRef D As Double, _
    ByRef DU As Double, ByRef DLF As Double, ByRef DF As Double, _
    ByRef DUF As Double, ByRef DU2 As Double, ByRef IPIV As Integer, _
    ByRef B As Double, ByRef LDB As Integer, ByRef X As Double, _
    ByRef LDX As Integer, ByRef RCOND As Double, ByRef FERR As Double, _
    ByRef BERR As Double, ByRef WORK As Double, ByRef IWORK As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F07CBF Lib "FLDLL224M_nag.dll" ( _
    ByVal FACT As string, ByVal FACTLength As Integer, ByVal TRANS As string, ByVal TRANSLength As Integer, ByRef N As Integer, _
    ByRef NRHS As Integer, ByRef DL As Double, ByRef D As Double, _
    ByRef DU As Double, ByRef DLF As Double, ByRef DF As Double, _
    ByRef DUF As Double, ByRef DU2 As Double, ByRef IPIV As Integer, _
    ByRef B As Double, ByRef LDB As Integer, ByRef X As Double, _
    ByRef LDX As Integer, ByRef RCOND As Double, ByRef FERR As Double, _
    ByRef BERR As Double, ByRef WORK As Double, ByRef IWORK As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub DGTTRF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef DL As Double, _
    ByRef D As Double, _
    ByRef DU As Double, _
    ByRef DU2 As Double, _
    ByRef IPIV As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F07CDF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef DL As Double, _
    ByRef D As Double, _
    ByRef DU As Double, _
    ByRef DU2 As Double, _
    ByRef IPIV As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub DGTTRS Lib "FLDLL224M_nag.dll" ( _
    ByVal TRANS As string, ByVal TRANSLength As Integer, _
    ByRef N As Integer, _
    ByRef NRHS As Integer, _
    ByRef DL As Double, _
    ByRef D As Double, _
    ByRef DU As Double, _
    ByRef DU2 As Double, _
    ByRef IPIV As Integer, _
    ByRef B As Double, _
    ByRef LDB As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F07CEF Lib "FLDLL224M_nag.dll" ( _
    ByVal TRANS As string, ByVal TRANSLength As Integer, _
    ByRef N As Integer, _
    ByRef NRHS As Integer, _
    ByRef DL As Double, _
    ByRef D As Double, _
    ByRef DU As Double, _
    ByRef DU2 As Double, _
    ByRef IPIV As Integer, _
    ByRef B As Double, _
    ByRef LDB As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub DGTCON Lib "FLDLL224M_nag.dll" ( _
    ByVal NORM As string, ByVal NORMLength As Integer, _
    ByRef N As Integer, _
    ByRef DL As Double, _
    ByRef D As Double, _
    ByRef DU As Double, _
    ByRef DU2 As Double, _
    ByRef IPIV As Integer, _
    ByRef ANORM As Double, _
    ByRef RCOND As Double, _
    ByRef WORK As Double, _
    ByRef IWORK As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F07CGF Lib "FLDLL224M_nag.dll" ( _
    ByVal NORM As string, ByVal NORMLength As Integer, _
    ByRef N As Integer, _
    ByRef DL As Double, _
    ByRef D As Double, _
    ByRef DU As Double, _
    ByRef DU2 As Double, _
    ByRef IPIV As Integer, _
    ByRef ANORM As Double, _
    ByRef RCOND As Double, _
    ByRef WORK As Double, _
    ByRef IWORK As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub DGTRFS Lib "FLDLL224M_nag.dll" ( _
    ByVal TRANS As string, ByVal TRANSLength As Integer, ByRef N As Integer, ByRef NRHS As Integer, _
    ByRef DL As Double, ByRef D As Double, ByRef DU As Double, _
    ByRef DLF As Double, ByRef DF As Double, ByRef DUF As Double, _
    ByRef DU2 As Double, ByRef IPIV As Integer, ByRef B As Double, _
    ByRef LDB As Integer, ByRef X As Double, ByRef LDX As Integer, _
    ByRef FERR As Double, ByRef BERR As Double, ByRef WORK As Double, _
    ByRef IWORK As Integer, ByRef INFO As Integer _
   )

   Declare Sub F07CHF Lib "FLDLL224M_nag.dll" ( _
    ByVal TRANS As string, ByVal TRANSLength As Integer, ByRef N As Integer, ByRef NRHS As Integer, _
    ByRef DL As Double, ByRef D As Double, ByRef DU As Double, _
    ByRef DLF As Double, ByRef DF As Double, ByRef DUF As Double, _
    ByRef DU2 As Double, ByRef IPIV As Integer, ByRef B As Double, _
    ByRef LDB As Integer, ByRef X As Double, ByRef LDX As Integer, _
    ByRef FERR As Double, ByRef BERR As Double, ByRef WORK As Double, _
    ByRef IWORK As Integer, ByRef INFO As Integer _
   )


   Declare Sub ZGTSV Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef NRHS As Integer, _
    ByRef DL As Complex, _
    ByRef D As Complex, _
    ByRef DU As Complex, _
    ByRef B As Complex, _
    ByRef LDB As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F07CNF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef NRHS As Integer, _
    ByRef DL As Complex, _
    ByRef D As Complex, _
    ByRef DU As Complex, _
    ByRef B As Complex, _
    ByRef LDB As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub ZGTSVX Lib "FLDLL224M_nag.dll" ( _
    ByVal FACT As string, ByVal FACTLength As Integer, ByVal TRANS As string, ByVal TRANSLength As Integer, ByRef N As Integer, _
    ByRef NRHS As Integer, ByRef DL As Complex, ByRef D As Complex, _
    ByRef DU As Complex, ByRef DLF As Complex, ByRef DF As Complex, _
    ByRef DUF As Complex, ByRef DU2 As Complex, ByRef IPIV As Integer, _
    ByRef B As Complex, ByRef LDB As Integer, ByRef X As Complex, _
    ByRef LDX As Integer, ByRef RCOND As Double, ByRef FERR As Double, _
    ByRef BERR As Double, ByRef WORK As Complex, ByRef RWORK As Double, _
    ByRef INFO As Integer _
   )

   Declare Sub F07CPF Lib "FLDLL224M_nag.dll" ( _
    ByVal FACT As string, ByVal FACTLength As Integer, ByVal TRANS As string, ByVal TRANSLength As Integer, ByRef N As Integer, _
    ByRef NRHS As Integer, ByRef DL As Complex, ByRef D As Complex, _
    ByRef DU As Complex, ByRef DLF As Complex, ByRef DF As Complex, _
    ByRef DUF As Complex, ByRef DU2 As Complex, ByRef IPIV As Integer, _
    ByRef B As Complex, ByRef LDB As Integer, ByRef X As Complex, _
    ByRef LDX As Integer, ByRef RCOND As Double, ByRef FERR As Double, _
    ByRef BERR As Double, ByRef WORK As Complex, ByRef RWORK As Double, _
    ByRef INFO As Integer _
   )


   Declare Sub ZGTTRF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef DL As Complex, _
    ByRef D As Complex, _
    ByRef DU As Complex, _
    ByRef DU2 As Complex, _
    ByRef IPIV As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F07CRF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef DL As Complex, _
    ByRef D As Complex, _
    ByRef DU As Complex, _
    ByRef DU2 As Complex, _
    ByRef IPIV As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub ZGTTRS Lib "FLDLL224M_nag.dll" ( _
    ByVal TRANS As string, ByVal TRANSLength As Integer, _
    ByRef N As Integer, _
    ByRef NRHS As Integer, _
    ByRef DL As Complex, _
    ByRef D As Complex, _
    ByRef DU As Complex, _
    ByRef DU2 As Complex, _
    ByRef IPIV As Integer, _
    ByRef B As Complex, _
    ByRef LDB As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F07CSF Lib "FLDLL224M_nag.dll" ( _
    ByVal TRANS As string, ByVal TRANSLength As Integer, _
    ByRef N As Integer, _
    ByRef NRHS As Integer, _
    ByRef DL As Complex, _
    ByRef D As Complex, _
    ByRef DU As Complex, _
    ByRef DU2 As Complex, _
    ByRef IPIV As Integer, _
    ByRef B As Complex, _
    ByRef LDB As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub ZGTCON Lib "FLDLL224M_nag.dll" ( _
    ByVal NORM As string, ByVal NORMLength As Integer, _
    ByRef N As Integer, _
    ByRef DL As Complex, _
    ByRef D As Complex, _
    ByRef DU As Complex, _
    ByRef DU2 As Complex, _
    ByRef IPIV As Integer, _
    ByRef ANORM As Double, _
    ByRef RCOND As Double, _
    ByRef WORK As Complex, _
    ByRef INFO As Integer _
   )

   Declare Sub F07CUF Lib "FLDLL224M_nag.dll" ( _
    ByVal NORM As string, ByVal NORMLength As Integer, _
    ByRef N As Integer, _
    ByRef DL As Complex, _
    ByRef D As Complex, _
    ByRef DU As Complex, _
    ByRef DU2 As Complex, _
    ByRef IPIV As Integer, _
    ByRef ANORM As Double, _
    ByRef RCOND As Double, _
    ByRef WORK As Complex, _
    ByRef INFO As Integer _
   )


   Declare Sub ZGTRFS Lib "FLDLL224M_nag.dll" ( _
    ByVal TRANS As string, ByVal TRANSLength As Integer, ByRef N As Integer, ByRef NRHS As Integer, _
    ByRef DL As Complex, ByRef D As Complex, ByRef DU As Complex, _
    ByRef DLF As Complex, ByRef DF As Complex, ByRef DUF As Complex, _
    ByRef DU2 As Complex, ByRef IPIV As Integer, ByRef B As Complex, _
    ByRef LDB As Integer, ByRef X As Complex, ByRef LDX As Integer, _
    ByRef FERR As Double, ByRef BERR As Double, ByRef WORK As Complex, _
    ByRef RWORK As Double, ByRef INFO As Integer _
   )

   Declare Sub F07CVF Lib "FLDLL224M_nag.dll" ( _
    ByVal TRANS As string, ByVal TRANSLength As Integer, ByRef N As Integer, ByRef NRHS As Integer, _
    ByRef DL As Complex, ByRef D As Complex, ByRef DU As Complex, _
    ByRef DLF As Complex, ByRef DF As Complex, ByRef DUF As Complex, _
    ByRef DU2 As Complex, ByRef IPIV As Integer, ByRef B As Complex, _
    ByRef LDB As Integer, ByRef X As Complex, ByRef LDX As Integer, _
    ByRef FERR As Double, ByRef BERR As Double, ByRef WORK As Complex, _
    ByRef RWORK As Double, ByRef INFO As Integer _
   )


   Declare Sub DPOSV Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef NRHS As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef B As Double, _
    ByRef LDB As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F07FAF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef NRHS As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef B As Double, _
    ByRef LDB As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub DPOSVX Lib "FLDLL224M_nag.dll" ( _
    ByVal FACT As string, ByVal FACTLength As Integer, ByVal UPLO As string, ByVal UPLOLength As Integer, ByRef N As Integer, _
    ByRef NRHS As Integer, ByRef A As Double, ByRef LDA As Integer, _
    ByRef AF As Double, ByRef LDAF As Integer, ByVal EQUED As string, ByVal EQUEDLength As Integer, _
    ByRef S As Double, ByRef B As Double, ByRef LDB As Integer, _
    ByRef X As Double, ByRef LDX As Integer, ByRef RCOND As Double, _
    ByRef FERR As Double, ByRef BERR As Double, ByRef WORK As Double, _
    ByRef IWORK As Integer, ByRef INFO As Integer _
   )

   Declare Sub F07FBF Lib "FLDLL224M_nag.dll" ( _
    ByVal FACT As string, ByVal FACTLength As Integer, ByVal UPLO As string, ByVal UPLOLength As Integer, ByRef N As Integer, _
    ByRef NRHS As Integer, ByRef A As Double, ByRef LDA As Integer, _
    ByRef AF As Double, ByRef LDAF As Integer, ByVal EQUED As string, ByVal EQUEDLength As Integer, _
    ByRef S As Double, ByRef B As Double, ByRef LDB As Integer, _
    ByRef X As Double, ByRef LDX As Integer, ByRef RCOND As Double, _
    ByRef FERR As Double, ByRef BERR As Double, ByRef WORK As Double, _
    ByRef IWORK As Integer, ByRef INFO As Integer _
   )


   Declare Sub DPOTRF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F07FDF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub DPOTRS Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef NRHS As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef B As Double, _
    ByRef LDB As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F07FEF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef NRHS As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef B As Double, _
    ByRef LDB As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub DPOEQU Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef S As Double, _
    ByRef SCOND As Double, _
    ByRef AMAX As Double, _
    ByRef INFO As Integer _
   )

   Declare Sub F07FFF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef S As Double, _
    ByRef SCOND As Double, _
    ByRef AMAX As Double, _
    ByRef INFO As Integer _
   )


   Declare Sub DPOCON Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef ANORM As Double, _
    ByRef RCOND As Double, _
    ByRef WORK As Double, _
    ByRef IWORK As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F07FGF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef ANORM As Double, _
    ByRef RCOND As Double, _
    ByRef WORK As Double, _
    ByRef IWORK As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub DPORFS Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef NRHS As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef AF As Double, _
    ByRef LDAF As Integer, _
    ByRef B As Double, _
    ByRef LDB As Integer, _
    ByRef X As Double, _
    ByRef LDX As Integer, _
    ByRef FERR As Double, _
    ByRef BERR As Double, _
    ByRef WORK As Double, _
    ByRef IWORK As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F07FHF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef NRHS As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef AF As Double, _
    ByRef LDAF As Integer, _
    ByRef B As Double, _
    ByRef LDB As Integer, _
    ByRef X As Double, _
    ByRef LDX As Integer, _
    ByRef FERR As Double, _
    ByRef BERR As Double, _
    ByRef WORK As Double, _
    ByRef IWORK As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub DPOTRI Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F07FJF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub ZPOSV Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef NRHS As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef B As Complex, _
    ByRef LDB As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F07FNF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef NRHS As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef B As Complex, _
    ByRef LDB As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub ZPOSVX Lib "FLDLL224M_nag.dll" ( _
    ByVal FACT As string, ByVal FACTLength As Integer, ByVal UPLO As string, ByVal UPLOLength As Integer, ByRef N As Integer, _
    ByRef NRHS As Integer, ByRef A As Complex, ByRef LDA As Integer, _
    ByRef AF As Complex, ByRef LDAF As Integer, ByVal EQUED As string, ByVal EQUEDLength As Integer, _
    ByRef S As Double, ByRef B As Complex, ByRef LDB As Integer, _
    ByRef X As Complex, ByRef LDX As Integer, ByRef RCOND As Double, _
    ByRef FERR As Double, ByRef BERR As Double, ByRef WORK As Complex, _
    ByRef RWORK As Double, ByRef INFO As Integer _
   )

   Declare Sub F07FPF Lib "FLDLL224M_nag.dll" ( _
    ByVal FACT As string, ByVal FACTLength As Integer, ByVal UPLO As string, ByVal UPLOLength As Integer, ByRef N As Integer, _
    ByRef NRHS As Integer, ByRef A As Complex, ByRef LDA As Integer, _
    ByRef AF As Complex, ByRef LDAF As Integer, ByVal EQUED As string, ByVal EQUEDLength As Integer, _
    ByRef S As Double, ByRef B As Complex, ByRef LDB As Integer, _
    ByRef X As Complex, ByRef LDX As Integer, ByRef RCOND As Double, _
    ByRef FERR As Double, ByRef BERR As Double, ByRef WORK As Complex, _
    ByRef RWORK As Double, ByRef INFO As Integer _
   )


   Declare Sub ZPOTRF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F07FRF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub ZPOTRS Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef NRHS As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef B As Complex, _
    ByRef LDB As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F07FSF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef NRHS As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef B As Complex, _
    ByRef LDB As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub ZPOEQU Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef S As Double, _
    ByRef SCOND As Double, _
    ByRef AMAX As Double, _
    ByRef INFO As Integer _
   )

   Declare Sub F07FTF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef S As Double, _
    ByRef SCOND As Double, _
    ByRef AMAX As Double, _
    ByRef INFO As Integer _
   )


   Declare Sub ZPOCON Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef ANORM As Double, _
    ByRef RCOND As Double, _
    ByRef WORK As Complex, _
    ByRef RWORK As Double, _
    ByRef INFO As Integer _
   )

   Declare Sub F07FUF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef ANORM As Double, _
    ByRef RCOND As Double, _
    ByRef WORK As Complex, _
    ByRef RWORK As Double, _
    ByRef INFO As Integer _
   )


   Declare Sub ZPORFS Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef NRHS As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef AF As Complex, _
    ByRef LDAF As Integer, _
    ByRef B As Complex, _
    ByRef LDB As Integer, _
    ByRef X As Complex, _
    ByRef LDX As Integer, _
    ByRef FERR As Double, _
    ByRef BERR As Double, _
    ByRef WORK As Complex, _
    ByRef RWORK As Double, _
    ByRef INFO As Integer _
   )

   Declare Sub F07FVF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef NRHS As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef AF As Complex, _
    ByRef LDAF As Integer, _
    ByRef B As Complex, _
    ByRef LDB As Integer, _
    ByRef X As Complex, _
    ByRef LDX As Integer, _
    ByRef FERR As Double, _
    ByRef BERR As Double, _
    ByRef WORK As Complex, _
    ByRef RWORK As Double, _
    ByRef INFO As Integer _
   )


   Declare Sub ZPOTRI Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F07FWF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub DPPSV Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef NRHS As Integer, _
    ByRef AP As Double, _
    ByRef B As Double, _
    ByRef LDB As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F07GAF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef NRHS As Integer, _
    ByRef AP As Double, _
    ByRef B As Double, _
    ByRef LDB As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub DPPSVX Lib "FLDLL224M_nag.dll" ( _
    ByVal FACT As string, ByVal FACTLength As Integer, _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef NRHS As Integer, _
    ByRef AP As Double, _
    ByRef AFP As Double, _
    ByVal EQUED As string, ByVal EQUEDLength As Integer, _
    ByRef S As Double, _
    ByRef B As Double, _
    ByRef LDB As Integer, _
    ByRef X As Double, _
    ByRef LDX As Integer, _
    ByRef RCOND As Double, _
    ByRef FERR As Double, _
    ByRef BERR As Double, _
    ByRef WORK As Double, _
    ByRef IWORK As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F07GBF Lib "FLDLL224M_nag.dll" ( _
    ByVal FACT As string, ByVal FACTLength As Integer, _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef NRHS As Integer, _
    ByRef AP As Double, _
    ByRef AFP As Double, _
    ByVal EQUED As string, ByVal EQUEDLength As Integer, _
    ByRef S As Double, _
    ByRef B As Double, _
    ByRef LDB As Integer, _
    ByRef X As Double, _
    ByRef LDX As Integer, _
    ByRef RCOND As Double, _
    ByRef FERR As Double, _
    ByRef BERR As Double, _
    ByRef WORK As Double, _
    ByRef IWORK As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub DPPTRF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef AP As Double, _
    ByRef INFO As Integer _
   )

   Declare Sub F07GDF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef AP As Double, _
    ByRef INFO As Integer _
   )


   Declare Sub DPPTRS Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef NRHS As Integer, _
    ByRef AP As Double, _
    ByRef B As Double, _
    ByRef LDB As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F07GEF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef NRHS As Integer, _
    ByRef AP As Double, _
    ByRef B As Double, _
    ByRef LDB As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub DPPEQU Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef AP As Double, _
    ByRef S As Double, _
    ByRef SCOND As Double, _
    ByRef AMAX As Double, _
    ByRef INFO As Integer _
   )

   Declare Sub F07GFF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef AP As Double, _
    ByRef S As Double, _
    ByRef SCOND As Double, _
    ByRef AMAX As Double, _
    ByRef INFO As Integer _
   )


   Declare Sub DPPCON Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef AP As Double, _
    ByRef ANORM As Double, _
    ByRef RCOND As Double, _
    ByRef WORK As Double, _
    ByRef IWORK As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F07GGF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef AP As Double, _
    ByRef ANORM As Double, _
    ByRef RCOND As Double, _
    ByRef WORK As Double, _
    ByRef IWORK As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub DPPRFS Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef NRHS As Integer, _
    ByRef AP As Double, _
    ByRef AFP As Double, _
    ByRef B As Double, _
    ByRef LDB As Integer, _
    ByRef X As Double, _
    ByRef LDX As Integer, _
    ByRef FERR As Double, _
    ByRef BERR As Double, _
    ByRef WORK As Double, _
    ByRef IWORK As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F07GHF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef NRHS As Integer, _
    ByRef AP As Double, _
    ByRef AFP As Double, _
    ByRef B As Double, _
    ByRef LDB As Integer, _
    ByRef X As Double, _
    ByRef LDX As Integer, _
    ByRef FERR As Double, _
    ByRef BERR As Double, _
    ByRef WORK As Double, _
    ByRef IWORK As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub DPPTRI Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef AP As Double, _
    ByRef INFO As Integer _
   )

   Declare Sub F07GJF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef AP As Double, _
    ByRef INFO As Integer _
   )


   Declare Sub ZPPSV Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef NRHS As Integer, _
    ByRef AP As Complex, _
    ByRef B As Complex, _
    ByRef LDB As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F07GNF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef NRHS As Integer, _
    ByRef AP As Complex, _
    ByRef B As Complex, _
    ByRef LDB As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub ZPPSVX Lib "FLDLL224M_nag.dll" ( _
    ByVal FACT As string, ByVal FACTLength As Integer, _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef NRHS As Integer, _
    ByRef AP As Complex, _
    ByRef AFP As Complex, _
    ByVal EQUED As string, ByVal EQUEDLength As Integer, _
    ByRef S As Double, _
    ByRef B As Complex, _
    ByRef LDB As Integer, _
    ByRef X As Complex, _
    ByRef LDX As Integer, _
    ByRef RCOND As Double, _
    ByRef FERR As Double, _
    ByRef BERR As Double, _
    ByRef WORK As Complex, _
    ByRef RWORK As Double, _
    ByRef INFO As Integer _
   )

   Declare Sub F07GPF Lib "FLDLL224M_nag.dll" ( _
    ByVal FACT As string, ByVal FACTLength As Integer, _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef NRHS As Integer, _
    ByRef AP As Complex, _
    ByRef AFP As Complex, _
    ByVal EQUED As string, ByVal EQUEDLength As Integer, _
    ByRef S As Double, _
    ByRef B As Complex, _
    ByRef LDB As Integer, _
    ByRef X As Complex, _
    ByRef LDX As Integer, _
    ByRef RCOND As Double, _
    ByRef FERR As Double, _
    ByRef BERR As Double, _
    ByRef WORK As Complex, _
    ByRef RWORK As Double, _
    ByRef INFO As Integer _
   )


   Declare Sub ZPPTRF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef AP As Complex, _
    ByRef INFO As Integer _
   )

   Declare Sub F07GRF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef AP As Complex, _
    ByRef INFO As Integer _
   )


   Declare Sub ZPPTRS Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef NRHS As Integer, _
    ByRef AP As Complex, _
    ByRef B As Complex, _
    ByRef LDB As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F07GSF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef NRHS As Integer, _
    ByRef AP As Complex, _
    ByRef B As Complex, _
    ByRef LDB As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub ZPPEQU Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef AP As Complex, _
    ByRef S As Double, _
    ByRef SCOND As Double, _
    ByRef AMAX As Double, _
    ByRef INFO As Integer _
   )

   Declare Sub F07GTF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef AP As Complex, _
    ByRef S As Double, _
    ByRef SCOND As Double, _
    ByRef AMAX As Double, _
    ByRef INFO As Integer _
   )


   Declare Sub ZPPCON Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef AP As Complex, _
    ByRef ANORM As Double, _
    ByRef RCOND As Double, _
    ByRef WORK As Complex, _
    ByRef RWORK As Double, _
    ByRef INFO As Integer _
   )

   Declare Sub F07GUF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef AP As Complex, _
    ByRef ANORM As Double, _
    ByRef RCOND As Double, _
    ByRef WORK As Complex, _
    ByRef RWORK As Double, _
    ByRef INFO As Integer _
   )


   Declare Sub ZPPRFS Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef NRHS As Integer, _
    ByRef AP As Complex, _
    ByRef AFP As Complex, _
    ByRef B As Complex, _
    ByRef LDB As Integer, _
    ByRef X As Complex, _
    ByRef LDX As Integer, _
    ByRef FERR As Double, _
    ByRef BERR As Double, _
    ByRef WORK As Complex, _
    ByRef RWORK As Double, _
    ByRef INFO As Integer _
   )

   Declare Sub F07GVF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef NRHS As Integer, _
    ByRef AP As Complex, _
    ByRef AFP As Complex, _
    ByRef B As Complex, _
    ByRef LDB As Integer, _
    ByRef X As Complex, _
    ByRef LDX As Integer, _
    ByRef FERR As Double, _
    ByRef BERR As Double, _
    ByRef WORK As Complex, _
    ByRef RWORK As Double, _
    ByRef INFO As Integer _
   )


   Declare Sub ZPPTRI Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef AP As Complex, _
    ByRef INFO As Integer _
   )

   Declare Sub F07GWF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef AP As Complex, _
    ByRef INFO As Integer _
   )


   Declare Sub DPBSV Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef KD As Integer, _
    ByRef NRHS As Integer, _
    ByRef AB As Double, _
    ByRef LDAB As Integer, _
    ByRef B As Double, _
    ByRef LDB As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F07HAF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef KD As Integer, _
    ByRef NRHS As Integer, _
    ByRef AB As Double, _
    ByRef LDAB As Integer, _
    ByRef B As Double, _
    ByRef LDB As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub DPBSVX Lib "FLDLL224M_nag.dll" ( _
    ByVal FACT As string, ByVal FACTLength As Integer, ByVal UPLO As string, ByVal UPLOLength As Integer, ByRef N As Integer, _
    ByRef KD As Integer, ByRef NRHS As Integer, ByRef AB As Double, _
    ByRef LDAB As Integer, ByRef AFB As Double, ByRef LDAFB As Integer, _
    ByVal EQUED As string, ByVal EQUEDLength As Integer, ByRef S As Double, ByRef B As Double, _
    ByRef LDB As Integer, ByRef X As Double, ByRef LDX As Integer, _
    ByRef RCOND As Double, ByRef FERR As Double, ByRef BERR As Double, _
    ByRef WORK As Double, ByRef IWORK As Integer, ByRef INFO As Integer _
   )

   Declare Sub F07HBF Lib "FLDLL224M_nag.dll" ( _
    ByVal FACT As string, ByVal FACTLength As Integer, ByVal UPLO As string, ByVal UPLOLength As Integer, ByRef N As Integer, _
    ByRef KD As Integer, ByRef NRHS As Integer, ByRef AB As Double, _
    ByRef LDAB As Integer, ByRef AFB As Double, ByRef LDAFB As Integer, _
    ByVal EQUED As string, ByVal EQUEDLength As Integer, ByRef S As Double, ByRef B As Double, _
    ByRef LDB As Integer, ByRef X As Double, ByRef LDX As Integer, _
    ByRef RCOND As Double, ByRef FERR As Double, ByRef BERR As Double, _
    ByRef WORK As Double, ByRef IWORK As Integer, ByRef INFO As Integer _
   )


   Declare Sub DPBTRF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef KD As Integer, _
    ByRef AB As Double, _
    ByRef LDAB As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F07HDF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef KD As Integer, _
    ByRef AB As Double, _
    ByRef LDAB As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub DPBTRS Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef KD As Integer, _
    ByRef NRHS As Integer, _
    ByRef AB As Double, _
    ByRef LDAB As Integer, _
    ByRef B As Double, _
    ByRef LDB As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F07HEF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef KD As Integer, _
    ByRef NRHS As Integer, _
    ByRef AB As Double, _
    ByRef LDAB As Integer, _
    ByRef B As Double, _
    ByRef LDB As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub DPBEQU Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef KD As Integer, _
    ByRef AB As Double, _
    ByRef LDAB As Integer, _
    ByRef S As Double, _
    ByRef SCOND As Double, _
    ByRef AMAX As Double, _
    ByRef INFO As Integer _
   )

   Declare Sub F07HFF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef KD As Integer, _
    ByRef AB As Double, _
    ByRef LDAB As Integer, _
    ByRef S As Double, _
    ByRef SCOND As Double, _
    ByRef AMAX As Double, _
    ByRef INFO As Integer _
   )


   Declare Sub DPBCON Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef KD As Integer, _
    ByRef AB As Double, _
    ByRef LDAB As Integer, _
    ByRef ANORM As Double, _
    ByRef RCOND As Double, _
    ByRef WORK As Double, _
    ByRef IWORK As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F07HGF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef KD As Integer, _
    ByRef AB As Double, _
    ByRef LDAB As Integer, _
    ByRef ANORM As Double, _
    ByRef RCOND As Double, _
    ByRef WORK As Double, _
    ByRef IWORK As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub DPBRFS Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef KD As Integer, _
    ByRef NRHS As Integer, _
    ByRef AB As Double, _
    ByRef LDAB As Integer, _
    ByRef AFB As Double, _
    ByRef LDAFB As Integer, _
    ByRef B As Double, _
    ByRef LDB As Integer, _
    ByRef X As Double, _
    ByRef LDX As Integer, _
    ByRef FERR As Double, _
    ByRef BERR As Double, _
    ByRef WORK As Double, _
    ByRef IWORK As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F07HHF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef KD As Integer, _
    ByRef NRHS As Integer, _
    ByRef AB As Double, _
    ByRef LDAB As Integer, _
    ByRef AFB As Double, _
    ByRef LDAFB As Integer, _
    ByRef B As Double, _
    ByRef LDB As Integer, _
    ByRef X As Double, _
    ByRef LDX As Integer, _
    ByRef FERR As Double, _
    ByRef BERR As Double, _
    ByRef WORK As Double, _
    ByRef IWORK As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub ZPBSV Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef KD As Integer, _
    ByRef NRHS As Integer, _
    ByRef AB As Complex, _
    ByRef LDAB As Integer, _
    ByRef B As Complex, _
    ByRef LDB As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F07HNF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef KD As Integer, _
    ByRef NRHS As Integer, _
    ByRef AB As Complex, _
    ByRef LDAB As Integer, _
    ByRef B As Complex, _
    ByRef LDB As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub ZPBSVX Lib "FLDLL224M_nag.dll" ( _
    ByVal FACT As string, ByVal FACTLength As Integer, ByVal UPLO As string, ByVal UPLOLength As Integer, ByRef N As Integer, _
    ByRef KD As Integer, ByRef NRHS As Integer, ByRef AB As Complex, _
    ByRef LDAB As Integer, ByRef AFB As Complex, ByRef LDAFB As Integer, _
    ByVal EQUED As string, ByVal EQUEDLength As Integer, ByRef S As Double, ByRef B As Complex, _
    ByRef LDB As Integer, ByRef X As Complex, ByRef LDX As Integer, _
    ByRef RCOND As Double, ByRef FERR As Double, ByRef BERR As Double, _
    ByRef WORK As Complex, ByRef RWORK As Double, ByRef INFO As Integer _
   )

   Declare Sub F07HPF Lib "FLDLL224M_nag.dll" ( _
    ByVal FACT As string, ByVal FACTLength As Integer, ByVal UPLO As string, ByVal UPLOLength As Integer, ByRef N As Integer, _
    ByRef KD As Integer, ByRef NRHS As Integer, ByRef AB As Complex, _
    ByRef LDAB As Integer, ByRef AFB As Complex, ByRef LDAFB As Integer, _
    ByVal EQUED As string, ByVal EQUEDLength As Integer, ByRef S As Double, ByRef B As Complex, _
    ByRef LDB As Integer, ByRef X As Complex, ByRef LDX As Integer, _
    ByRef RCOND As Double, ByRef FERR As Double, ByRef BERR As Double, _
    ByRef WORK As Complex, ByRef RWORK As Double, ByRef INFO As Integer _
   )


   Declare Sub ZPBTRF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef KD As Integer, _
    ByRef AB As Complex, _
    ByRef LDAB As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F07HRF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef KD As Integer, _
    ByRef AB As Complex, _
    ByRef LDAB As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub ZPBTRS Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef KD As Integer, _
    ByRef NRHS As Integer, _
    ByRef AB As Complex, _
    ByRef LDAB As Integer, _
    ByRef B As Complex, _
    ByRef LDB As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F07HSF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef KD As Integer, _
    ByRef NRHS As Integer, _
    ByRef AB As Complex, _
    ByRef LDAB As Integer, _
    ByRef B As Complex, _
    ByRef LDB As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub ZPBEQU Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef KD As Integer, _
    ByRef AB As Complex, _
    ByRef LDAB As Integer, _
    ByRef S As Double, _
    ByRef SCOND As Double, _
    ByRef AMAX As Double, _
    ByRef INFO As Integer _
   )

   Declare Sub F07HTF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef KD As Integer, _
    ByRef AB As Complex, _
    ByRef LDAB As Integer, _
    ByRef S As Double, _
    ByRef SCOND As Double, _
    ByRef AMAX As Double, _
    ByRef INFO As Integer _
   )


   Declare Sub ZPBCON Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef KD As Integer, _
    ByRef AB As Complex, _
    ByRef LDAB As Integer, _
    ByRef ANORM As Double, _
    ByRef RCOND As Double, _
    ByRef WORK As Complex, _
    ByRef RWORK As Double, _
    ByRef INFO As Integer _
   )

   Declare Sub F07HUF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef KD As Integer, _
    ByRef AB As Complex, _
    ByRef LDAB As Integer, _
    ByRef ANORM As Double, _
    ByRef RCOND As Double, _
    ByRef WORK As Complex, _
    ByRef RWORK As Double, _
    ByRef INFO As Integer _
   )


   Declare Sub ZPBRFS Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef KD As Integer, _
    ByRef NRHS As Integer, _
    ByRef AB As Complex, _
    ByRef LDAB As Integer, _
    ByRef AFB As Complex, _
    ByRef LDAFB As Integer, _
    ByRef B As Complex, _
    ByRef LDB As Integer, _
    ByRef X As Complex, _
    ByRef LDX As Integer, _
    ByRef FERR As Double, _
    ByRef BERR As Double, _
    ByRef WORK As Complex, _
    ByRef RWORK As Double, _
    ByRef INFO As Integer _
   )

   Declare Sub F07HVF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef KD As Integer, _
    ByRef NRHS As Integer, _
    ByRef AB As Complex, _
    ByRef LDAB As Integer, _
    ByRef AFB As Complex, _
    ByRef LDAFB As Integer, _
    ByRef B As Complex, _
    ByRef LDB As Integer, _
    ByRef X As Complex, _
    ByRef LDX As Integer, _
    ByRef FERR As Double, _
    ByRef BERR As Double, _
    ByRef WORK As Complex, _
    ByRef RWORK As Double, _
    ByRef INFO As Integer _
   )


   Declare Sub DPTSV Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef NRHS As Integer, _
    ByRef D As Double, _
    ByRef E As Double, _
    ByRef B As Double, _
    ByRef LDB As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F07JAF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef NRHS As Integer, _
    ByRef D As Double, _
    ByRef E As Double, _
    ByRef B As Double, _
    ByRef LDB As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub DPTSVX Lib "FLDLL224M_nag.dll" ( _
    ByVal FACT As string, ByVal FACTLength As Integer, _
    ByRef N As Integer, _
    ByRef NRHS As Integer, _
    ByRef D As Double, _
    ByRef E As Double, _
    ByRef DF As Double, _
    ByRef EF As Double, _
    ByRef B As Double, _
    ByRef LDB As Integer, _
    ByRef X As Double, _
    ByRef LDX As Integer, _
    ByRef RCOND As Double, _
    ByRef FERR As Double, _
    ByRef BERR As Double, _
    ByRef WORK As Double, _
    ByRef INFO As Integer _
   )

   Declare Sub F07JBF Lib "FLDLL224M_nag.dll" ( _
    ByVal FACT As string, ByVal FACTLength As Integer, _
    ByRef N As Integer, _
    ByRef NRHS As Integer, _
    ByRef D As Double, _
    ByRef E As Double, _
    ByRef DF As Double, _
    ByRef EF As Double, _
    ByRef B As Double, _
    ByRef LDB As Integer, _
    ByRef X As Double, _
    ByRef LDX As Integer, _
    ByRef RCOND As Double, _
    ByRef FERR As Double, _
    ByRef BERR As Double, _
    ByRef WORK As Double, _
    ByRef INFO As Integer _
   )


   Declare Sub DPTTRF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef D As Double, _
    ByRef E As Double, _
    ByRef INFO As Integer _
   )

   Declare Sub F07JDF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef D As Double, _
    ByRef E As Double, _
    ByRef INFO As Integer _
   )


   Declare Sub DPTTRS Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef NRHS As Integer, _
    ByRef D As Double, _
    ByRef E As Double, _
    ByRef B As Double, _
    ByRef LDB As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F07JEF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef NRHS As Integer, _
    ByRef D As Double, _
    ByRef E As Double, _
    ByRef B As Double, _
    ByRef LDB As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub DPTCON Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef D As Double, _
    ByRef E As Double, _
    ByRef ANORM As Double, _
    ByRef RCOND As Double, _
    ByRef WORK As Double, _
    ByRef INFO As Integer _
   )

   Declare Sub F07JGF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef D As Double, _
    ByRef E As Double, _
    ByRef ANORM As Double, _
    ByRef RCOND As Double, _
    ByRef WORK As Double, _
    ByRef INFO As Integer _
   )


   Declare Sub DPTRFS Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef NRHS As Integer, _
    ByRef D As Double, _
    ByRef E As Double, _
    ByRef DF As Double, _
    ByRef EF As Double, _
    ByRef B As Double, _
    ByRef LDB As Integer, _
    ByRef X As Double, _
    ByRef LDX As Integer, _
    ByRef FERR As Double, _
    ByRef BERR As Double, _
    ByRef WORK As Double, _
    ByRef INFO As Integer _
   )

   Declare Sub F07JHF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef NRHS As Integer, _
    ByRef D As Double, _
    ByRef E As Double, _
    ByRef DF As Double, _
    ByRef EF As Double, _
    ByRef B As Double, _
    ByRef LDB As Integer, _
    ByRef X As Double, _
    ByRef LDX As Integer, _
    ByRef FERR As Double, _
    ByRef BERR As Double, _
    ByRef WORK As Double, _
    ByRef INFO As Integer _
   )


   Declare Sub ZPTSV Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef NRHS As Integer, _
    ByRef D As Double, _
    ByRef E As Complex, _
    ByRef B As Complex, _
    ByRef LDB As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F07JNF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef NRHS As Integer, _
    ByRef D As Double, _
    ByRef E As Complex, _
    ByRef B As Complex, _
    ByRef LDB As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub ZPTSVX Lib "FLDLL224M_nag.dll" ( _
    ByVal FACT As string, ByVal FACTLength As Integer, _
    ByRef N As Integer, _
    ByRef NRHS As Integer, _
    ByRef D As Double, _
    ByRef E As Complex, _
    ByRef DF As Double, _
    ByRef EF As Complex, _
    ByRef B As Complex, _
    ByRef LDB As Integer, _
    ByRef X As Complex, _
    ByRef LDX As Integer, _
    ByRef RCOND As Double, _
    ByRef FERR As Double, _
    ByRef BERR As Double, _
    ByRef WORK As Complex, _
    ByRef RWORK As Double, _
    ByRef INFO As Integer _
   )

   Declare Sub F07JPF Lib "FLDLL224M_nag.dll" ( _
    ByVal FACT As string, ByVal FACTLength As Integer, _
    ByRef N As Integer, _
    ByRef NRHS As Integer, _
    ByRef D As Double, _
    ByRef E As Complex, _
    ByRef DF As Double, _
    ByRef EF As Complex, _
    ByRef B As Complex, _
    ByRef LDB As Integer, _
    ByRef X As Complex, _
    ByRef LDX As Integer, _
    ByRef RCOND As Double, _
    ByRef FERR As Double, _
    ByRef BERR As Double, _
    ByRef WORK As Complex, _
    ByRef RWORK As Double, _
    ByRef INFO As Integer _
   )


   Declare Sub ZPTTRF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef D As Double, _
    ByRef E As Complex, _
    ByRef INFO As Integer _
   )

   Declare Sub F07JRF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef D As Double, _
    ByRef E As Complex, _
    ByRef INFO As Integer _
   )


   Declare Sub ZPTTRS Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef NRHS As Integer, _
    ByRef D As Double, _
    ByRef E As Complex, _
    ByRef B As Complex, _
    ByRef LDB As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F07JSF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef NRHS As Integer, _
    ByRef D As Double, _
    ByRef E As Complex, _
    ByRef B As Complex, _
    ByRef LDB As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub ZPTCON Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef D As Double, _
    ByRef E As Complex, _
    ByRef ANORM As Double, _
    ByRef RCOND As Double, _
    ByRef RWORK As Double, _
    ByRef INFO As Integer _
   )

   Declare Sub F07JUF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef D As Double, _
    ByRef E As Complex, _
    ByRef ANORM As Double, _
    ByRef RCOND As Double, _
    ByRef RWORK As Double, _
    ByRef INFO As Integer _
   )


   Declare Sub ZPTRFS Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef NRHS As Integer, _
    ByRef D As Double, _
    ByRef E As Complex, _
    ByRef DF As Double, _
    ByRef EF As Complex, _
    ByRef B As Complex, _
    ByRef LDB As Integer, _
    ByRef X As Complex, _
    ByRef LDX As Integer, _
    ByRef FERR As Double, _
    ByRef BERR As Double, _
    ByRef WORK As Complex, _
    ByRef RWORK As Double, _
    ByRef INFO As Integer _
   )

   Declare Sub F07JVF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef NRHS As Integer, _
    ByRef D As Double, _
    ByRef E As Complex, _
    ByRef DF As Double, _
    ByRef EF As Complex, _
    ByRef B As Complex, _
    ByRef LDB As Integer, _
    ByRef X As Complex, _
    ByRef LDX As Integer, _
    ByRef FERR As Double, _
    ByRef BERR As Double, _
    ByRef WORK As Complex, _
    ByRef RWORK As Double, _
    ByRef INFO As Integer _
   )


   Declare Sub DSYSV Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef NRHS As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef IPIV As Integer, _
    ByRef B As Double, _
    ByRef LDB As Integer, _
    ByRef WORK As Double, _
    ByRef LWORK As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F07MAF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef NRHS As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef IPIV As Integer, _
    ByRef B As Double, _
    ByRef LDB As Integer, _
    ByRef WORK As Double, _
    ByRef LWORK As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub DSYSVX Lib "FLDLL224M_nag.dll" ( _
    ByVal FACT As string, ByVal FACTLength As Integer, ByVal UPLO As string, ByVal UPLOLength As Integer, ByRef N As Integer, _
    ByRef NRHS As Integer, ByRef A As Double, ByRef LDA As Integer, _
    ByRef AF As Double, ByRef LDAF As Integer, ByRef IPIV As Integer, _
    ByRef B As Double, ByRef LDB As Integer, ByRef X As Double, _
    ByRef LDX As Integer, ByRef RCOND As Double, ByRef FERR As Double, _
    ByRef BERR As Double, ByRef WORK As Double, ByRef LWORK As Integer, _
    ByRef IWORK As Integer, ByRef INFO As Integer _
   )

   Declare Sub F07MBF Lib "FLDLL224M_nag.dll" ( _
    ByVal FACT As string, ByVal FACTLength As Integer, ByVal UPLO As string, ByVal UPLOLength As Integer, ByRef N As Integer, _
    ByRef NRHS As Integer, ByRef A As Double, ByRef LDA As Integer, _
    ByRef AF As Double, ByRef LDAF As Integer, ByRef IPIV As Integer, _
    ByRef B As Double, ByRef LDB As Integer, ByRef X As Double, _
    ByRef LDX As Integer, ByRef RCOND As Double, ByRef FERR As Double, _
    ByRef BERR As Double, ByRef WORK As Double, ByRef LWORK As Integer, _
    ByRef IWORK As Integer, ByRef INFO As Integer _
   )


   Declare Sub DSYTRF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef IPIV As Integer, _
    ByRef WORK As Double, _
    ByRef LWORK As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F07MDF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef IPIV As Integer, _
    ByRef WORK As Double, _
    ByRef LWORK As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub DSYTRS Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef NRHS As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef IPIV As Integer, _
    ByRef B As Double, _
    ByRef LDB As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F07MEF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef NRHS As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef IPIV As Integer, _
    ByRef B As Double, _
    ByRef LDB As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub DSYCON Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef IPIV As Integer, _
    ByRef ANORM As Double, _
    ByRef RCOND As Double, _
    ByRef WORK As Double, _
    ByRef IWORK As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F07MGF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef IPIV As Integer, _
    ByRef ANORM As Double, _
    ByRef RCOND As Double, _
    ByRef WORK As Double, _
    ByRef IWORK As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub DSYRFS Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef NRHS As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef AF As Double, _
    ByRef LDAF As Integer, _
    ByRef IPIV As Integer, _
    ByRef B As Double, _
    ByRef LDB As Integer, _
    ByRef X As Double, _
    ByRef LDX As Integer, _
    ByRef FERR As Double, _
    ByRef BERR As Double, _
    ByRef WORK As Double, _
    ByRef IWORK As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F07MHF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef NRHS As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef AF As Double, _
    ByRef LDAF As Integer, _
    ByRef IPIV As Integer, _
    ByRef B As Double, _
    ByRef LDB As Integer, _
    ByRef X As Double, _
    ByRef LDX As Integer, _
    ByRef FERR As Double, _
    ByRef BERR As Double, _
    ByRef WORK As Double, _
    ByRef IWORK As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub DSYTRI Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef IPIV As Integer, _
    ByRef WORK As Double, _
    ByRef INFO As Integer _
   )

   Declare Sub F07MJF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef IPIV As Integer, _
    ByRef WORK As Double, _
    ByRef INFO As Integer _
   )


   Declare Sub ZHESV Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef NRHS As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef IPIV As Integer, _
    ByRef B As Complex, _
    ByRef LDB As Integer, _
    ByRef WORK As Complex, _
    ByRef LWORK As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F07MNF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef NRHS As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef IPIV As Integer, _
    ByRef B As Complex, _
    ByRef LDB As Integer, _
    ByRef WORK As Complex, _
    ByRef LWORK As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub ZHESVX Lib "FLDLL224M_nag.dll" ( _
    ByVal FACT As string, ByVal FACTLength As Integer, ByVal UPLO As string, ByVal UPLOLength As Integer, ByRef N As Integer, _
    ByRef NRHS As Integer, ByRef A As Complex, ByRef LDA As Integer, _
    ByRef AF As Complex, ByRef LDAF As Integer, ByRef IPIV As Integer, _
    ByRef B As Complex, ByRef LDB As Integer, ByRef X As Complex, _
    ByRef LDX As Integer, ByRef RCOND As Double, ByRef FERR As Double, _
    ByRef BERR As Double, ByRef WORK As Complex, ByRef LWORK As Integer, _
    ByRef RWORK As Double, ByRef INFO As Integer _
   )

   Declare Sub F07MPF Lib "FLDLL224M_nag.dll" ( _
    ByVal FACT As string, ByVal FACTLength As Integer, ByVal UPLO As string, ByVal UPLOLength As Integer, ByRef N As Integer, _
    ByRef NRHS As Integer, ByRef A As Complex, ByRef LDA As Integer, _
    ByRef AF As Complex, ByRef LDAF As Integer, ByRef IPIV As Integer, _
    ByRef B As Complex, ByRef LDB As Integer, ByRef X As Complex, _
    ByRef LDX As Integer, ByRef RCOND As Double, ByRef FERR As Double, _
    ByRef BERR As Double, ByRef WORK As Complex, ByRef LWORK As Integer, _
    ByRef RWORK As Double, ByRef INFO As Integer _
   )


   Declare Sub ZHETRF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef IPIV As Integer, _
    ByRef WORK As Complex, _
    ByRef LWORK As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F07MRF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef IPIV As Integer, _
    ByRef WORK As Complex, _
    ByRef LWORK As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub ZHETRS Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef NRHS As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef IPIV As Integer, _
    ByRef B As Complex, _
    ByRef LDB As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F07MSF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef NRHS As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef IPIV As Integer, _
    ByRef B As Complex, _
    ByRef LDB As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub ZHECON Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef IPIV As Integer, _
    ByRef ANORM As Double, _
    ByRef RCOND As Double, _
    ByRef WORK As Complex, _
    ByRef INFO As Integer _
   )

   Declare Sub F07MUF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef IPIV As Integer, _
    ByRef ANORM As Double, _
    ByRef RCOND As Double, _
    ByRef WORK As Complex, _
    ByRef INFO As Integer _
   )


   Declare Sub ZHERFS Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef NRHS As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef AF As Complex, _
    ByRef LDAF As Integer, _
    ByRef IPIV As Integer, _
    ByRef B As Complex, _
    ByRef LDB As Integer, _
    ByRef X As Complex, _
    ByRef LDX As Integer, _
    ByRef FERR As Double, _
    ByRef BERR As Double, _
    ByRef WORK As Complex, _
    ByRef RWORK As Double, _
    ByRef INFO As Integer _
   )

   Declare Sub F07MVF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef NRHS As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef AF As Complex, _
    ByRef LDAF As Integer, _
    ByRef IPIV As Integer, _
    ByRef B As Complex, _
    ByRef LDB As Integer, _
    ByRef X As Complex, _
    ByRef LDX As Integer, _
    ByRef FERR As Double, _
    ByRef BERR As Double, _
    ByRef WORK As Complex, _
    ByRef RWORK As Double, _
    ByRef INFO As Integer _
   )


   Declare Sub ZHETRI Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef IPIV As Integer, _
    ByRef WORK As Complex, _
    ByRef INFO As Integer _
   )

   Declare Sub F07MWF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef IPIV As Integer, _
    ByRef WORK As Complex, _
    ByRef INFO As Integer _
   )


   Declare Sub ZSYSV Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef NRHS As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef IPIV As Integer, _
    ByRef B As Complex, _
    ByRef LDB As Integer, _
    ByRef WORK As Complex, _
    ByRef LWORK As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F07NNF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef NRHS As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef IPIV As Integer, _
    ByRef B As Complex, _
    ByRef LDB As Integer, _
    ByRef WORK As Complex, _
    ByRef LWORK As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub ZSYSVX Lib "FLDLL224M_nag.dll" ( _
    ByVal FACT As string, ByVal FACTLength As Integer, ByVal UPLO As string, ByVal UPLOLength As Integer, ByRef N As Integer, _
    ByRef NRHS As Integer, ByRef A As Complex, ByRef LDA As Integer, _
    ByRef AF As Complex, ByRef LDAF As Integer, ByRef IPIV As Integer, _
    ByRef B As Complex, ByRef LDB As Integer, ByRef X As Complex, _
    ByRef LDX As Integer, ByRef RCOND As Double, ByRef FERR As Double, _
    ByRef BERR As Double, ByRef WORK As Complex, ByRef LWORK As Integer, _
    ByRef RWORK As Double, ByRef INFO As Integer _
   )

   Declare Sub F07NPF Lib "FLDLL224M_nag.dll" ( _
    ByVal FACT As string, ByVal FACTLength As Integer, ByVal UPLO As string, ByVal UPLOLength As Integer, ByRef N As Integer, _
    ByRef NRHS As Integer, ByRef A As Complex, ByRef LDA As Integer, _
    ByRef AF As Complex, ByRef LDAF As Integer, ByRef IPIV As Integer, _
    ByRef B As Complex, ByRef LDB As Integer, ByRef X As Complex, _
    ByRef LDX As Integer, ByRef RCOND As Double, ByRef FERR As Double, _
    ByRef BERR As Double, ByRef WORK As Complex, ByRef LWORK As Integer, _
    ByRef RWORK As Double, ByRef INFO As Integer _
   )


   Declare Sub ZSYTRF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef IPIV As Integer, _
    ByRef WORK As Complex, _
    ByRef LWORK As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F07NRF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef IPIV As Integer, _
    ByRef WORK As Complex, _
    ByRef LWORK As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub ZSYTRS Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef NRHS As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef IPIV As Integer, _
    ByRef B As Complex, _
    ByRef LDB As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F07NSF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef NRHS As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef IPIV As Integer, _
    ByRef B As Complex, _
    ByRef LDB As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub ZSYCON Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef IPIV As Integer, _
    ByRef ANORM As Double, _
    ByRef RCOND As Double, _
    ByRef WORK As Complex, _
    ByRef INFO As Integer _
   )

   Declare Sub F07NUF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef IPIV As Integer, _
    ByRef ANORM As Double, _
    ByRef RCOND As Double, _
    ByRef WORK As Complex, _
    ByRef INFO As Integer _
   )


   Declare Sub ZSYRFS Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef NRHS As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef AF As Complex, _
    ByRef LDAF As Integer, _
    ByRef IPIV As Integer, _
    ByRef B As Complex, _
    ByRef LDB As Integer, _
    ByRef X As Complex, _
    ByRef LDX As Integer, _
    ByRef FERR As Double, _
    ByRef BERR As Double, _
    ByRef WORK As Complex, _
    ByRef RWORK As Double, _
    ByRef INFO As Integer _
   )

   Declare Sub F07NVF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef NRHS As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef AF As Complex, _
    ByRef LDAF As Integer, _
    ByRef IPIV As Integer, _
    ByRef B As Complex, _
    ByRef LDB As Integer, _
    ByRef X As Complex, _
    ByRef LDX As Integer, _
    ByRef FERR As Double, _
    ByRef BERR As Double, _
    ByRef WORK As Complex, _
    ByRef RWORK As Double, _
    ByRef INFO As Integer _
   )


   Declare Sub ZSYTRI Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef IPIV As Integer, _
    ByRef WORK As Complex, _
    ByRef INFO As Integer _
   )

   Declare Sub F07NWF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef IPIV As Integer, _
    ByRef WORK As Complex, _
    ByRef INFO As Integer _
   )


   Declare Sub DSPSV Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef NRHS As Integer, _
    ByRef AP As Double, _
    ByRef IPIV As Integer, _
    ByRef B As Double, _
    ByRef LDB As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F07PAF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef NRHS As Integer, _
    ByRef AP As Double, _
    ByRef IPIV As Integer, _
    ByRef B As Double, _
    ByRef LDB As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub DSPSVX Lib "FLDLL224M_nag.dll" ( _
    ByVal FACT As string, ByVal FACTLength As Integer, _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef NRHS As Integer, _
    ByRef AP As Double, _
    ByRef AFP As Double, _
    ByRef IPIV As Integer, _
    ByRef B As Double, _
    ByRef LDB As Integer, _
    ByRef X As Double, _
    ByRef LDX As Integer, _
    ByRef RCOND As Double, _
    ByRef FERR As Double, _
    ByRef BERR As Double, _
    ByRef WORK As Double, _
    ByRef IWORK As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F07PBF Lib "FLDLL224M_nag.dll" ( _
    ByVal FACT As string, ByVal FACTLength As Integer, _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef NRHS As Integer, _
    ByRef AP As Double, _
    ByRef AFP As Double, _
    ByRef IPIV As Integer, _
    ByRef B As Double, _
    ByRef LDB As Integer, _
    ByRef X As Double, _
    ByRef LDX As Integer, _
    ByRef RCOND As Double, _
    ByRef FERR As Double, _
    ByRef BERR As Double, _
    ByRef WORK As Double, _
    ByRef IWORK As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub DSPTRF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef AP As Double, _
    ByRef IPIV As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F07PDF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef AP As Double, _
    ByRef IPIV As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub DSPTRS Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef NRHS As Integer, _
    ByRef AP As Double, _
    ByRef IPIV As Integer, _
    ByRef B As Double, _
    ByRef LDB As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F07PEF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef NRHS As Integer, _
    ByRef AP As Double, _
    ByRef IPIV As Integer, _
    ByRef B As Double, _
    ByRef LDB As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub DSPCON Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef AP As Double, _
    ByRef IPIV As Integer, _
    ByRef ANORM As Double, _
    ByRef RCOND As Double, _
    ByRef WORK As Double, _
    ByRef IWORK As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F07PGF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef AP As Double, _
    ByRef IPIV As Integer, _
    ByRef ANORM As Double, _
    ByRef RCOND As Double, _
    ByRef WORK As Double, _
    ByRef IWORK As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub DSPRFS Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef NRHS As Integer, _
    ByRef AP As Double, _
    ByRef AFP As Double, _
    ByRef IPIV As Integer, _
    ByRef B As Double, _
    ByRef LDB As Integer, _
    ByRef X As Double, _
    ByRef LDX As Integer, _
    ByRef FERR As Double, _
    ByRef BERR As Double, _
    ByRef WORK As Double, _
    ByRef IWORK As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F07PHF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef NRHS As Integer, _
    ByRef AP As Double, _
    ByRef AFP As Double, _
    ByRef IPIV As Integer, _
    ByRef B As Double, _
    ByRef LDB As Integer, _
    ByRef X As Double, _
    ByRef LDX As Integer, _
    ByRef FERR As Double, _
    ByRef BERR As Double, _
    ByRef WORK As Double, _
    ByRef IWORK As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub DSPTRI Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef AP As Double, _
    ByRef IPIV As Integer, _
    ByRef WORK As Double, _
    ByRef INFO As Integer _
   )

   Declare Sub F07PJF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef AP As Double, _
    ByRef IPIV As Integer, _
    ByRef WORK As Double, _
    ByRef INFO As Integer _
   )


   Declare Sub ZHPSV Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef NRHS As Integer, _
    ByRef AP As Complex, _
    ByRef IPIV As Integer, _
    ByRef B As Complex, _
    ByRef LDB As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F07PNF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef NRHS As Integer, _
    ByRef AP As Complex, _
    ByRef IPIV As Integer, _
    ByRef B As Complex, _
    ByRef LDB As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub ZHPSVX Lib "FLDLL224M_nag.dll" ( _
    ByVal FACT As string, ByVal FACTLength As Integer, _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef NRHS As Integer, _
    ByRef AP As Complex, _
    ByRef AFP As Complex, _
    ByRef IPIV As Integer, _
    ByRef B As Complex, _
    ByRef LDB As Integer, _
    ByRef X As Complex, _
    ByRef LDX As Integer, _
    ByRef RCOND As Double, _
    ByRef FERR As Double, _
    ByRef BERR As Double, _
    ByRef WORK As Complex, _
    ByRef RWORK As Double, _
    ByRef INFO As Integer _
   )

   Declare Sub F07PPF Lib "FLDLL224M_nag.dll" ( _
    ByVal FACT As string, ByVal FACTLength As Integer, _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef NRHS As Integer, _
    ByRef AP As Complex, _
    ByRef AFP As Complex, _
    ByRef IPIV As Integer, _
    ByRef B As Complex, _
    ByRef LDB As Integer, _
    ByRef X As Complex, _
    ByRef LDX As Integer, _
    ByRef RCOND As Double, _
    ByRef FERR As Double, _
    ByRef BERR As Double, _
    ByRef WORK As Complex, _
    ByRef RWORK As Double, _
    ByRef INFO As Integer _
   )


   Declare Sub ZHPTRF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef AP As Complex, _
    ByRef IPIV As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F07PRF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef AP As Complex, _
    ByRef IPIV As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub ZHPTRS Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef NRHS As Integer, _
    ByRef AP As Complex, _
    ByRef IPIV As Integer, _
    ByRef B As Complex, _
    ByRef LDB As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F07PSF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef NRHS As Integer, _
    ByRef AP As Complex, _
    ByRef IPIV As Integer, _
    ByRef B As Complex, _
    ByRef LDB As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub ZHPCON Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef AP As Complex, _
    ByRef IPIV As Integer, _
    ByRef ANORM As Double, _
    ByRef RCOND As Double, _
    ByRef WORK As Complex, _
    ByRef INFO As Integer _
   )

   Declare Sub F07PUF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef AP As Complex, _
    ByRef IPIV As Integer, _
    ByRef ANORM As Double, _
    ByRef RCOND As Double, _
    ByRef WORK As Complex, _
    ByRef INFO As Integer _
   )


   Declare Sub ZHPRFS Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef NRHS As Integer, _
    ByRef AP As Complex, _
    ByRef AFP As Complex, _
    ByRef IPIV As Integer, _
    ByRef B As Complex, _
    ByRef LDB As Integer, _
    ByRef X As Complex, _
    ByRef LDX As Integer, _
    ByRef FERR As Double, _
    ByRef BERR As Double, _
    ByRef WORK As Complex, _
    ByRef RWORK As Double, _
    ByRef INFO As Integer _
   )

   Declare Sub F07PVF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef NRHS As Integer, _
    ByRef AP As Complex, _
    ByRef AFP As Complex, _
    ByRef IPIV As Integer, _
    ByRef B As Complex, _
    ByRef LDB As Integer, _
    ByRef X As Complex, _
    ByRef LDX As Integer, _
    ByRef FERR As Double, _
    ByRef BERR As Double, _
    ByRef WORK As Complex, _
    ByRef RWORK As Double, _
    ByRef INFO As Integer _
   )


   Declare Sub ZHPTRI Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef AP As Complex, _
    ByRef IPIV As Integer, _
    ByRef WORK As Complex, _
    ByRef INFO As Integer _
   )

   Declare Sub F07PWF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef AP As Complex, _
    ByRef IPIV As Integer, _
    ByRef WORK As Complex, _
    ByRef INFO As Integer _
   )


   Declare Sub ZSPSV Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef NRHS As Integer, _
    ByRef AP As Complex, _
    ByRef IPIV As Integer, _
    ByRef B As Complex, _
    ByRef LDB As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F07QNF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef NRHS As Integer, _
    ByRef AP As Complex, _
    ByRef IPIV As Integer, _
    ByRef B As Complex, _
    ByRef LDB As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub ZSPSVX Lib "FLDLL224M_nag.dll" ( _
    ByVal FACT As string, ByVal FACTLength As Integer, _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef NRHS As Integer, _
    ByRef AP As Complex, _
    ByRef AFP As Complex, _
    ByRef IPIV As Integer, _
    ByRef B As Complex, _
    ByRef LDB As Integer, _
    ByRef X As Complex, _
    ByRef LDX As Integer, _
    ByRef RCOND As Double, _
    ByRef FERR As Double, _
    ByRef BERR As Double, _
    ByRef WORK As Complex, _
    ByRef RWORK As Double, _
    ByRef INFO As Integer _
   )

   Declare Sub F07QPF Lib "FLDLL224M_nag.dll" ( _
    ByVal FACT As string, ByVal FACTLength As Integer, _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef NRHS As Integer, _
    ByRef AP As Complex, _
    ByRef AFP As Complex, _
    ByRef IPIV As Integer, _
    ByRef B As Complex, _
    ByRef LDB As Integer, _
    ByRef X As Complex, _
    ByRef LDX As Integer, _
    ByRef RCOND As Double, _
    ByRef FERR As Double, _
    ByRef BERR As Double, _
    ByRef WORK As Complex, _
    ByRef RWORK As Double, _
    ByRef INFO As Integer _
   )


   Declare Sub ZSPTRF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef AP As Complex, _
    ByRef IPIV As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F07QRF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef AP As Complex, _
    ByRef IPIV As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub ZSPTRS Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef NRHS As Integer, _
    ByRef AP As Complex, _
    ByRef IPIV As Integer, _
    ByRef B As Complex, _
    ByRef LDB As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F07QSF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef NRHS As Integer, _
    ByRef AP As Complex, _
    ByRef IPIV As Integer, _
    ByRef B As Complex, _
    ByRef LDB As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub ZSPCON Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef AP As Complex, _
    ByRef IPIV As Integer, _
    ByRef ANORM As Double, _
    ByRef RCOND As Double, _
    ByRef WORK As Complex, _
    ByRef INFO As Integer _
   )

   Declare Sub F07QUF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef AP As Complex, _
    ByRef IPIV As Integer, _
    ByRef ANORM As Double, _
    ByRef RCOND As Double, _
    ByRef WORK As Complex, _
    ByRef INFO As Integer _
   )


   Declare Sub ZSPRFS Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef NRHS As Integer, _
    ByRef AP As Complex, _
    ByRef AFP As Complex, _
    ByRef IPIV As Integer, _
    ByRef B As Complex, _
    ByRef LDB As Integer, _
    ByRef X As Complex, _
    ByRef LDX As Integer, _
    ByRef FERR As Double, _
    ByRef BERR As Double, _
    ByRef WORK As Complex, _
    ByRef RWORK As Double, _
    ByRef INFO As Integer _
   )

   Declare Sub F07QVF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef NRHS As Integer, _
    ByRef AP As Complex, _
    ByRef AFP As Complex, _
    ByRef IPIV As Integer, _
    ByRef B As Complex, _
    ByRef LDB As Integer, _
    ByRef X As Complex, _
    ByRef LDX As Integer, _
    ByRef FERR As Double, _
    ByRef BERR As Double, _
    ByRef WORK As Complex, _
    ByRef RWORK As Double, _
    ByRef INFO As Integer _
   )


   Declare Sub ZSPTRI Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef AP As Complex, _
    ByRef IPIV As Integer, _
    ByRef WORK As Complex, _
    ByRef INFO As Integer _
   )

   Declare Sub F07QWF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef AP As Complex, _
    ByRef IPIV As Integer, _
    ByRef WORK As Complex, _
    ByRef INFO As Integer _
   )


   Declare Sub DTRTRS Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByVal TRANS As string, ByVal TRANSLength As Integer, _
    ByVal DIAG As string, ByVal DIAGLength As Integer, _
    ByRef N As Integer, _
    ByRef NRHS As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef B As Double, _
    ByRef LDB As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F07TEF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByVal TRANS As string, ByVal TRANSLength As Integer, _
    ByVal DIAG As string, ByVal DIAGLength As Integer, _
    ByRef N As Integer, _
    ByRef NRHS As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef B As Double, _
    ByRef LDB As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub DTRCON Lib "FLDLL224M_nag.dll" ( _
    ByVal NORM As string, ByVal NORMLength As Integer, _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByVal DIAG As string, ByVal DIAGLength As Integer, _
    ByRef N As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef RCOND As Double, _
    ByRef WORK As Double, _
    ByRef IWORK As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F07TGF Lib "FLDLL224M_nag.dll" ( _
    ByVal NORM As string, ByVal NORMLength As Integer, _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByVal DIAG As string, ByVal DIAGLength As Integer, _
    ByRef N As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef RCOND As Double, _
    ByRef WORK As Double, _
    ByRef IWORK As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub DTRRFS Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByVal TRANS As string, ByVal TRANSLength As Integer, _
    ByVal DIAG As string, ByVal DIAGLength As Integer, _
    ByRef N As Integer, _
    ByRef NRHS As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef B As Double, _
    ByRef LDB As Integer, _
    ByRef X As Double, _
    ByRef LDX As Integer, _
    ByRef FERR As Double, _
    ByRef BERR As Double, _
    ByRef WORK As Double, _
    ByRef IWORK As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F07THF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByVal TRANS As string, ByVal TRANSLength As Integer, _
    ByVal DIAG As string, ByVal DIAGLength As Integer, _
    ByRef N As Integer, _
    ByRef NRHS As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef B As Double, _
    ByRef LDB As Integer, _
    ByRef X As Double, _
    ByRef LDX As Integer, _
    ByRef FERR As Double, _
    ByRef BERR As Double, _
    ByRef WORK As Double, _
    ByRef IWORK As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub DTRTRI Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByVal DIAG As string, ByVal DIAGLength As Integer, _
    ByRef N As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F07TJF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByVal DIAG As string, ByVal DIAGLength As Integer, _
    ByRef N As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub ZTRTRS Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByVal TRANS As string, ByVal TRANSLength As Integer, _
    ByVal DIAG As string, ByVal DIAGLength As Integer, _
    ByRef N As Integer, _
    ByRef NRHS As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef B As Complex, _
    ByRef LDB As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F07TSF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByVal TRANS As string, ByVal TRANSLength As Integer, _
    ByVal DIAG As string, ByVal DIAGLength As Integer, _
    ByRef N As Integer, _
    ByRef NRHS As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef B As Complex, _
    ByRef LDB As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub ZTRCON Lib "FLDLL224M_nag.dll" ( _
    ByVal NORM As string, ByVal NORMLength As Integer, _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByVal DIAG As string, ByVal DIAGLength As Integer, _
    ByRef N As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef RCOND As Double, _
    ByRef WORK As Complex, _
    ByRef RWORK As Double, _
    ByRef INFO As Integer _
   )

   Declare Sub F07TUF Lib "FLDLL224M_nag.dll" ( _
    ByVal NORM As string, ByVal NORMLength As Integer, _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByVal DIAG As string, ByVal DIAGLength As Integer, _
    ByRef N As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef RCOND As Double, _
    ByRef WORK As Complex, _
    ByRef RWORK As Double, _
    ByRef INFO As Integer _
   )


   Declare Sub ZTRRFS Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByVal TRANS As string, ByVal TRANSLength As Integer, _
    ByVal DIAG As string, ByVal DIAGLength As Integer, _
    ByRef N As Integer, _
    ByRef NRHS As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef B As Complex, _
    ByRef LDB As Integer, _
    ByRef X As Complex, _
    ByRef LDX As Integer, _
    ByRef FERR As Double, _
    ByRef BERR As Double, _
    ByRef WORK As Complex, _
    ByRef RWORK As Double, _
    ByRef INFO As Integer _
   )

   Declare Sub F07TVF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByVal TRANS As string, ByVal TRANSLength As Integer, _
    ByVal DIAG As string, ByVal DIAGLength As Integer, _
    ByRef N As Integer, _
    ByRef NRHS As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef B As Complex, _
    ByRef LDB As Integer, _
    ByRef X As Complex, _
    ByRef LDX As Integer, _
    ByRef FERR As Double, _
    ByRef BERR As Double, _
    ByRef WORK As Complex, _
    ByRef RWORK As Double, _
    ByRef INFO As Integer _
   )


   Declare Sub ZTRTRI Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByVal DIAG As string, ByVal DIAGLength As Integer, _
    ByRef N As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F07TWF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByVal DIAG As string, ByVal DIAGLength As Integer, _
    ByRef N As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub DTPTRS Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByVal TRANS As string, ByVal TRANSLength As Integer, _
    ByVal DIAG As string, ByVal DIAGLength As Integer, _
    ByRef N As Integer, _
    ByRef NRHS As Integer, _
    ByRef AP As Double, _
    ByRef B As Double, _
    ByRef LDB As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F07UEF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByVal TRANS As string, ByVal TRANSLength As Integer, _
    ByVal DIAG As string, ByVal DIAGLength As Integer, _
    ByRef N As Integer, _
    ByRef NRHS As Integer, _
    ByRef AP As Double, _
    ByRef B As Double, _
    ByRef LDB As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub DTPCON Lib "FLDLL224M_nag.dll" ( _
    ByVal NORM As string, ByVal NORMLength As Integer, _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByVal DIAG As string, ByVal DIAGLength As Integer, _
    ByRef N As Integer, _
    ByRef AP As Double, _
    ByRef RCOND As Double, _
    ByRef WORK As Double, _
    ByRef IWORK As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F07UGF Lib "FLDLL224M_nag.dll" ( _
    ByVal NORM As string, ByVal NORMLength As Integer, _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByVal DIAG As string, ByVal DIAGLength As Integer, _
    ByRef N As Integer, _
    ByRef AP As Double, _
    ByRef RCOND As Double, _
    ByRef WORK As Double, _
    ByRef IWORK As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub DTPRFS Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByVal TRANS As string, ByVal TRANSLength As Integer, _
    ByVal DIAG As string, ByVal DIAGLength As Integer, _
    ByRef N As Integer, _
    ByRef NRHS As Integer, _
    ByRef AP As Double, _
    ByRef B As Double, _
    ByRef LDB As Integer, _
    ByRef X As Double, _
    ByRef LDX As Integer, _
    ByRef FERR As Double, _
    ByRef BERR As Double, _
    ByRef WORK As Double, _
    ByRef IWORK As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F07UHF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByVal TRANS As string, ByVal TRANSLength As Integer, _
    ByVal DIAG As string, ByVal DIAGLength As Integer, _
    ByRef N As Integer, _
    ByRef NRHS As Integer, _
    ByRef AP As Double, _
    ByRef B As Double, _
    ByRef LDB As Integer, _
    ByRef X As Double, _
    ByRef LDX As Integer, _
    ByRef FERR As Double, _
    ByRef BERR As Double, _
    ByRef WORK As Double, _
    ByRef IWORK As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub DTPTRI Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByVal DIAG As string, ByVal DIAGLength As Integer, _
    ByRef N As Integer, _
    ByRef AP As Double, _
    ByRef INFO As Integer _
   )

   Declare Sub F07UJF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByVal DIAG As string, ByVal DIAGLength As Integer, _
    ByRef N As Integer, _
    ByRef AP As Double, _
    ByRef INFO As Integer _
   )


   Declare Sub ZTPTRS Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByVal TRANS As string, ByVal TRANSLength As Integer, _
    ByVal DIAG As string, ByVal DIAGLength As Integer, _
    ByRef N As Integer, _
    ByRef NRHS As Integer, _
    ByRef AP As Complex, _
    ByRef B As Complex, _
    ByRef LDB As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F07USF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByVal TRANS As string, ByVal TRANSLength As Integer, _
    ByVal DIAG As string, ByVal DIAGLength As Integer, _
    ByRef N As Integer, _
    ByRef NRHS As Integer, _
    ByRef AP As Complex, _
    ByRef B As Complex, _
    ByRef LDB As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub ZTPCON Lib "FLDLL224M_nag.dll" ( _
    ByVal NORM As string, ByVal NORMLength As Integer, _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByVal DIAG As string, ByVal DIAGLength As Integer, _
    ByRef N As Integer, _
    ByRef AP As Complex, _
    ByRef RCOND As Double, _
    ByRef WORK As Complex, _
    ByRef RWORK As Double, _
    ByRef INFO As Integer _
   )

   Declare Sub F07UUF Lib "FLDLL224M_nag.dll" ( _
    ByVal NORM As string, ByVal NORMLength As Integer, _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByVal DIAG As string, ByVal DIAGLength As Integer, _
    ByRef N As Integer, _
    ByRef AP As Complex, _
    ByRef RCOND As Double, _
    ByRef WORK As Complex, _
    ByRef RWORK As Double, _
    ByRef INFO As Integer _
   )


   Declare Sub ZTPRFS Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByVal TRANS As string, ByVal TRANSLength As Integer, _
    ByVal DIAG As string, ByVal DIAGLength As Integer, _
    ByRef N As Integer, _
    ByRef NRHS As Integer, _
    ByRef AP As Complex, _
    ByRef B As Complex, _
    ByRef LDB As Integer, _
    ByRef X As Complex, _
    ByRef LDX As Integer, _
    ByRef FERR As Double, _
    ByRef BERR As Double, _
    ByRef WORK As Complex, _
    ByRef RWORK As Double, _
    ByRef INFO As Integer _
   )

   Declare Sub F07UVF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByVal TRANS As string, ByVal TRANSLength As Integer, _
    ByVal DIAG As string, ByVal DIAGLength As Integer, _
    ByRef N As Integer, _
    ByRef NRHS As Integer, _
    ByRef AP As Complex, _
    ByRef B As Complex, _
    ByRef LDB As Integer, _
    ByRef X As Complex, _
    ByRef LDX As Integer, _
    ByRef FERR As Double, _
    ByRef BERR As Double, _
    ByRef WORK As Complex, _
    ByRef RWORK As Double, _
    ByRef INFO As Integer _
   )


   Declare Sub ZTPTRI Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByVal DIAG As string, ByVal DIAGLength As Integer, _
    ByRef N As Integer, _
    ByRef AP As Complex, _
    ByRef INFO As Integer _
   )

   Declare Sub F07UWF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByVal DIAG As string, ByVal DIAGLength As Integer, _
    ByRef N As Integer, _
    ByRef AP As Complex, _
    ByRef INFO As Integer _
   )


   Declare Sub DTBTRS Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByVal TRANS As string, ByVal TRANSLength As Integer, _
    ByVal DIAG As string, ByVal DIAGLength As Integer, _
    ByRef N As Integer, _
    ByRef KD As Integer, _
    ByRef NRHS As Integer, _
    ByRef AB As Double, _
    ByRef LDAB As Integer, _
    ByRef B As Double, _
    ByRef LDB As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F07VEF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByVal TRANS As string, ByVal TRANSLength As Integer, _
    ByVal DIAG As string, ByVal DIAGLength As Integer, _
    ByRef N As Integer, _
    ByRef KD As Integer, _
    ByRef NRHS As Integer, _
    ByRef AB As Double, _
    ByRef LDAB As Integer, _
    ByRef B As Double, _
    ByRef LDB As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub DTBCON Lib "FLDLL224M_nag.dll" ( _
    ByVal NORM As string, ByVal NORMLength As Integer, _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByVal DIAG As string, ByVal DIAGLength As Integer, _
    ByRef N As Integer, _
    ByRef KD As Integer, _
    ByRef AB As Double, _
    ByRef LDAB As Integer, _
    ByRef RCOND As Double, _
    ByRef WORK As Double, _
    ByRef IWORK As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F07VGF Lib "FLDLL224M_nag.dll" ( _
    ByVal NORM As string, ByVal NORMLength As Integer, _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByVal DIAG As string, ByVal DIAGLength As Integer, _
    ByRef N As Integer, _
    ByRef KD As Integer, _
    ByRef AB As Double, _
    ByRef LDAB As Integer, _
    ByRef RCOND As Double, _
    ByRef WORK As Double, _
    ByRef IWORK As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub DTBRFS Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByVal TRANS As string, ByVal TRANSLength As Integer, _
    ByVal DIAG As string, ByVal DIAGLength As Integer, _
    ByRef N As Integer, _
    ByRef KD As Integer, _
    ByRef NRHS As Integer, _
    ByRef AB As Double, _
    ByRef LDAB As Integer, _
    ByRef B As Double, _
    ByRef LDB As Integer, _
    ByRef X As Double, _
    ByRef LDX As Integer, _
    ByRef FERR As Double, _
    ByRef BERR As Double, _
    ByRef WORK As Double, _
    ByRef IWORK As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F07VHF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByVal TRANS As string, ByVal TRANSLength As Integer, _
    ByVal DIAG As string, ByVal DIAGLength As Integer, _
    ByRef N As Integer, _
    ByRef KD As Integer, _
    ByRef NRHS As Integer, _
    ByRef AB As Double, _
    ByRef LDAB As Integer, _
    ByRef B As Double, _
    ByRef LDB As Integer, _
    ByRef X As Double, _
    ByRef LDX As Integer, _
    ByRef FERR As Double, _
    ByRef BERR As Double, _
    ByRef WORK As Double, _
    ByRef IWORK As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub ZTBTRS Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByVal TRANS As string, ByVal TRANSLength As Integer, _
    ByVal DIAG As string, ByVal DIAGLength As Integer, _
    ByRef N As Integer, _
    ByRef KD As Integer, _
    ByRef NRHS As Integer, _
    ByRef AB As Complex, _
    ByRef LDAB As Integer, _
    ByRef B As Complex, _
    ByRef LDB As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F07VSF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByVal TRANS As string, ByVal TRANSLength As Integer, _
    ByVal DIAG As string, ByVal DIAGLength As Integer, _
    ByRef N As Integer, _
    ByRef KD As Integer, _
    ByRef NRHS As Integer, _
    ByRef AB As Complex, _
    ByRef LDAB As Integer, _
    ByRef B As Complex, _
    ByRef LDB As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub ZTBCON Lib "FLDLL224M_nag.dll" ( _
    ByVal NORM As string, ByVal NORMLength As Integer, _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByVal DIAG As string, ByVal DIAGLength As Integer, _
    ByRef N As Integer, _
    ByRef KD As Integer, _
    ByRef AB As Complex, _
    ByRef LDAB As Integer, _
    ByRef RCOND As Double, _
    ByRef WORK As Complex, _
    ByRef RWORK As Double, _
    ByRef INFO As Integer _
   )

   Declare Sub F07VUF Lib "FLDLL224M_nag.dll" ( _
    ByVal NORM As string, ByVal NORMLength As Integer, _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByVal DIAG As string, ByVal DIAGLength As Integer, _
    ByRef N As Integer, _
    ByRef KD As Integer, _
    ByRef AB As Complex, _
    ByRef LDAB As Integer, _
    ByRef RCOND As Double, _
    ByRef WORK As Complex, _
    ByRef RWORK As Double, _
    ByRef INFO As Integer _
   )


   Declare Sub ZTBRFS Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByVal TRANS As string, ByVal TRANSLength As Integer, _
    ByVal DIAG As string, ByVal DIAGLength As Integer, _
    ByRef N As Integer, _
    ByRef KD As Integer, _
    ByRef NRHS As Integer, _
    ByRef AB As Complex, _
    ByRef LDAB As Integer, _
    ByRef B As Complex, _
    ByRef LDB As Integer, _
    ByRef X As Complex, _
    ByRef LDX As Integer, _
    ByRef FERR As Double, _
    ByRef BERR As Double, _
    ByRef WORK As Complex, _
    ByRef RWORK As Double, _
    ByRef INFO As Integer _
   )

   Declare Sub F07VVF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByVal TRANS As string, ByVal TRANSLength As Integer, _
    ByVal DIAG As string, ByVal DIAGLength As Integer, _
    ByRef N As Integer, _
    ByRef KD As Integer, _
    ByRef NRHS As Integer, _
    ByRef AB As Complex, _
    ByRef LDAB As Integer, _
    ByRef B As Complex, _
    ByRef LDB As Integer, _
    ByRef X As Complex, _
    ByRef LDX As Integer, _
    ByRef FERR As Double, _
    ByRef BERR As Double, _
    ByRef WORK As Complex, _
    ByRef RWORK As Double, _
    ByRef INFO As Integer _
   )


   Declare Sub DGELS Lib "FLDLL224M_nag.dll" ( _
    ByVal TRANS As string, ByVal TRANSLength As Integer, _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef NRHS As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef B As Double, _
    ByRef LDB As Integer, _
    ByRef WORK As Double, _
    ByRef LWORK As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F08AAF Lib "FLDLL224M_nag.dll" ( _
    ByVal TRANS As string, ByVal TRANSLength As Integer, _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef NRHS As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef B As Double, _
    ByRef LDB As Integer, _
    ByRef WORK As Double, _
    ByRef LWORK As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub DGEQRF Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef TAU As Double, _
    ByRef WORK As Double, _
    ByRef LWORK As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F08AEF Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef TAU As Double, _
    ByRef WORK As Double, _
    ByRef LWORK As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub DORGQR Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef K As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef TAU As Double, _
    ByRef WORK As Double, _
    ByRef LWORK As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F08AFF Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef K As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef TAU As Double, _
    ByRef WORK As Double, _
    ByRef LWORK As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub DORMQR Lib "FLDLL224M_nag.dll" ( _
    ByVal SIDE As string, ByVal SIDELength As Integer, _
    ByVal TRANS As string, ByVal TRANSLength As Integer, _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef K As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef TAU As Double, _
    ByRef C As Double, _
    ByRef LDC As Integer, _
    ByRef WORK As Double, _
    ByRef LWORK As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F08AGF Lib "FLDLL224M_nag.dll" ( _
    ByVal SIDE As string, ByVal SIDELength As Integer, _
    ByVal TRANS As string, ByVal TRANSLength As Integer, _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef K As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef TAU As Double, _
    ByRef C As Double, _
    ByRef LDC As Integer, _
    ByRef WORK As Double, _
    ByRef LWORK As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub DGELQF Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef TAU As Double, _
    ByRef WORK As Double, _
    ByRef LWORK As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F08AHF Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef TAU As Double, _
    ByRef WORK As Double, _
    ByRef LWORK As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub DORGLQ Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef K As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef TAU As Double, _
    ByRef WORK As Double, _
    ByRef LWORK As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F08AJF Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef K As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef TAU As Double, _
    ByRef WORK As Double, _
    ByRef LWORK As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub DORMLQ Lib "FLDLL224M_nag.dll" ( _
    ByVal SIDE As string, ByVal SIDELength As Integer, _
    ByVal TRANS As string, ByVal TRANSLength As Integer, _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef K As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef TAU As Double, _
    ByRef C As Double, _
    ByRef LDC As Integer, _
    ByRef WORK As Double, _
    ByRef LWORK As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F08AKF Lib "FLDLL224M_nag.dll" ( _
    ByVal SIDE As string, ByVal SIDELength As Integer, _
    ByVal TRANS As string, ByVal TRANSLength As Integer, _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef K As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef TAU As Double, _
    ByRef C As Double, _
    ByRef LDC As Integer, _
    ByRef WORK As Double, _
    ByRef LWORK As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub ZGELS Lib "FLDLL224M_nag.dll" ( _
    ByVal TRANS As string, ByVal TRANSLength As Integer, _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef NRHS As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef B As Complex, _
    ByRef LDB As Integer, _
    ByRef WORK As Complex, _
    ByRef LWORK As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F08ANF Lib "FLDLL224M_nag.dll" ( _
    ByVal TRANS As string, ByVal TRANSLength As Integer, _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef NRHS As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef B As Complex, _
    ByRef LDB As Integer, _
    ByRef WORK As Complex, _
    ByRef LWORK As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub ZGEQRF Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef TAU As Complex, _
    ByRef WORK As Complex, _
    ByRef LWORK As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F08ASF Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef TAU As Complex, _
    ByRef WORK As Complex, _
    ByRef LWORK As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub ZUNGQR Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef K As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef TAU As Complex, _
    ByRef WORK As Complex, _
    ByRef LWORK As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F08ATF Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef K As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef TAU As Complex, _
    ByRef WORK As Complex, _
    ByRef LWORK As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub ZUNMQR Lib "FLDLL224M_nag.dll" ( _
    ByVal SIDE As string, ByVal SIDELength As Integer, _
    ByVal TRANS As string, ByVal TRANSLength As Integer, _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef K As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef TAU As Complex, _
    ByRef C As Complex, _
    ByRef LDC As Integer, _
    ByRef WORK As Complex, _
    ByRef LWORK As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F08AUF Lib "FLDLL224M_nag.dll" ( _
    ByVal SIDE As string, ByVal SIDELength As Integer, _
    ByVal TRANS As string, ByVal TRANSLength As Integer, _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef K As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef TAU As Complex, _
    ByRef C As Complex, _
    ByRef LDC As Integer, _
    ByRef WORK As Complex, _
    ByRef LWORK As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub ZGELQF Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef TAU As Complex, _
    ByRef WORK As Complex, _
    ByRef LWORK As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F08AVF Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef TAU As Complex, _
    ByRef WORK As Complex, _
    ByRef LWORK As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub ZUNGLQ Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef K As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef TAU As Complex, _
    ByRef WORK As Complex, _
    ByRef LWORK As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F08AWF Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef K As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef TAU As Complex, _
    ByRef WORK As Complex, _
    ByRef LWORK As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub ZUNMLQ Lib "FLDLL224M_nag.dll" ( _
    ByVal SIDE As string, ByVal SIDELength As Integer, _
    ByVal TRANS As string, ByVal TRANSLength As Integer, _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef K As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef TAU As Complex, _
    ByRef C As Complex, _
    ByRef LDC As Integer, _
    ByRef WORK As Complex, _
    ByRef LWORK As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F08AXF Lib "FLDLL224M_nag.dll" ( _
    ByVal SIDE As string, ByVal SIDELength As Integer, _
    ByVal TRANS As string, ByVal TRANSLength As Integer, _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef K As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef TAU As Complex, _
    ByRef C As Complex, _
    ByRef LDC As Integer, _
    ByRef WORK As Complex, _
    ByRef LWORK As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub DGELSY Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef NRHS As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef B As Double, _
    ByRef LDB As Integer, _
    ByRef JPVT As Integer, _
    ByRef RCOND As Double, _
    ByRef RANK As Integer, _
    ByRef WORK As Double, _
    ByRef LWORK As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F08BAF Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef NRHS As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef B As Double, _
    ByRef LDB As Integer, _
    ByRef JPVT As Integer, _
    ByRef RCOND As Double, _
    ByRef RANK As Integer, _
    ByRef WORK As Double, _
    ByRef LWORK As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub DGEQPF Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef JPVT As Integer, _
    ByRef TAU As Double, _
    ByRef WORK As Double, _
    ByRef INFO As Integer _
   )

   Declare Sub F08BEF Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef JPVT As Integer, _
    ByRef TAU As Double, _
    ByRef WORK As Double, _
    ByRef INFO As Integer _
   )


   Declare Sub DGEQP3 Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef JPVT As Integer, _
    ByRef TAU As Double, _
    ByRef WORK As Double, _
    ByRef LWORK As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F08BFF Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef JPVT As Integer, _
    ByRef TAU As Double, _
    ByRef WORK As Double, _
    ByRef LWORK As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub DTZRZF Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef TAU As Double, _
    ByRef WORK As Double, _
    ByRef LWORK As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F08BHF Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef TAU As Double, _
    ByRef WORK As Double, _
    ByRef LWORK As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub DORMRZ Lib "FLDLL224M_nag.dll" ( _
    ByVal SIDE As string, ByVal SIDELength As Integer, _
    ByVal TRANS As string, ByVal TRANSLength As Integer, _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef K As Integer, _
    ByRef L As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef TAU As Double, _
    ByRef C As Double, _
    ByRef LDC As Integer, _
    ByRef WORK As Double, _
    ByRef LWORK As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F08BKF Lib "FLDLL224M_nag.dll" ( _
    ByVal SIDE As string, ByVal SIDELength As Integer, _
    ByVal TRANS As string, ByVal TRANSLength As Integer, _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef K As Integer, _
    ByRef L As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef TAU As Double, _
    ByRef C As Double, _
    ByRef LDC As Integer, _
    ByRef WORK As Double, _
    ByRef LWORK As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub ZGELSY Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef NRHS As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef B As Complex, _
    ByRef LDB As Integer, _
    ByRef JPVT As Integer, _
    ByRef RCOND As Double, _
    ByRef RANK As Integer, _
    ByRef WORK As Complex, _
    ByRef LWORK As Integer, _
    ByRef RWORK As Double, _
    ByRef INFO As Integer _
   )

   Declare Sub F08BNF Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef NRHS As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef B As Complex, _
    ByRef LDB As Integer, _
    ByRef JPVT As Integer, _
    ByRef RCOND As Double, _
    ByRef RANK As Integer, _
    ByRef WORK As Complex, _
    ByRef LWORK As Integer, _
    ByRef RWORK As Double, _
    ByRef INFO As Integer _
   )


   Declare Sub ZGEQPF Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef JPVT As Integer, _
    ByRef TAU As Complex, _
    ByRef WORK As Complex, _
    ByRef RWORK As Double, _
    ByRef INFO As Integer _
   )

   Declare Sub F08BSF Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef JPVT As Integer, _
    ByRef TAU As Complex, _
    ByRef WORK As Complex, _
    ByRef RWORK As Double, _
    ByRef INFO As Integer _
   )


   Declare Sub ZGEQP3 Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef JPVT As Integer, _
    ByRef TAU As Complex, _
    ByRef WORK As Complex, _
    ByRef LWORK As Integer, _
    ByRef RWORK As Double, _
    ByRef INFO As Integer _
   )

   Declare Sub F08BTF Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef JPVT As Integer, _
    ByRef TAU As Complex, _
    ByRef WORK As Complex, _
    ByRef LWORK As Integer, _
    ByRef RWORK As Double, _
    ByRef INFO As Integer _
   )


   Declare Sub ZTZRZF Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef TAU As Complex, _
    ByRef WORK As Complex, _
    ByRef LWORK As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F08BVF Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef TAU As Complex, _
    ByRef WORK As Complex, _
    ByRef LWORK As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub ZUNMRZ Lib "FLDLL224M_nag.dll" ( _
    ByVal SIDE As string, ByVal SIDELength As Integer, _
    ByVal TRANS As string, ByVal TRANSLength As Integer, _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef K As Integer, _
    ByRef L As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef TAU As Complex, _
    ByRef C As Complex, _
    ByRef LDC As Integer, _
    ByRef WORK As Complex, _
    ByRef LWORK As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F08BXF Lib "FLDLL224M_nag.dll" ( _
    ByVal SIDE As string, ByVal SIDELength As Integer, _
    ByVal TRANS As string, ByVal TRANSLength As Integer, _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef K As Integer, _
    ByRef L As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef TAU As Complex, _
    ByRef C As Complex, _
    ByRef LDC As Integer, _
    ByRef WORK As Complex, _
    ByRef LWORK As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub DGEQLF Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef TAU As Double, _
    ByRef WORK As Double, _
    ByRef LWORK As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F08CEF Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef TAU As Double, _
    ByRef WORK As Double, _
    ByRef LWORK As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub DORGQL Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef K As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef TAU As Double, _
    ByRef WORK As Double, _
    ByRef LWORK As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F08CFF Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef K As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef TAU As Double, _
    ByRef WORK As Double, _
    ByRef LWORK As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub DORMQL Lib "FLDLL224M_nag.dll" ( _
    ByVal SIDE As string, ByVal SIDELength As Integer, _
    ByVal TRANS As string, ByVal TRANSLength As Integer, _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef K As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef TAU As Double, _
    ByRef C As Double, _
    ByRef LDC As Integer, _
    ByRef WORK As Double, _
    ByRef LWORK As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F08CGF Lib "FLDLL224M_nag.dll" ( _
    ByVal SIDE As string, ByVal SIDELength As Integer, _
    ByVal TRANS As string, ByVal TRANSLength As Integer, _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef K As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef TAU As Double, _
    ByRef C As Double, _
    ByRef LDC As Integer, _
    ByRef WORK As Double, _
    ByRef LWORK As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub DGERQF Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef TAU As Double, _
    ByRef WORK As Double, _
    ByRef LWORK As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F08CHF Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef TAU As Double, _
    ByRef WORK As Double, _
    ByRef LWORK As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub DORGRQ Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef K As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef TAU As Double, _
    ByRef WORK As Double, _
    ByRef LWORK As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F08CJF Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef K As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef TAU As Double, _
    ByRef WORK As Double, _
    ByRef LWORK As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub DORMRQ Lib "FLDLL224M_nag.dll" ( _
    ByVal SIDE As string, ByVal SIDELength As Integer, _
    ByVal TRANS As string, ByVal TRANSLength As Integer, _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef K As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef TAU As Double, _
    ByRef C As Double, _
    ByRef LDC As Integer, _
    ByRef WORK As Double, _
    ByRef LWORK As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F08CKF Lib "FLDLL224M_nag.dll" ( _
    ByVal SIDE As string, ByVal SIDELength As Integer, _
    ByVal TRANS As string, ByVal TRANSLength As Integer, _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef K As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef TAU As Double, _
    ByRef C As Double, _
    ByRef LDC As Integer, _
    ByRef WORK As Double, _
    ByRef LWORK As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub ZGEQLF Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef TAU As Complex, _
    ByRef WORK As Complex, _
    ByRef LWORK As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F08CSF Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef TAU As Complex, _
    ByRef WORK As Complex, _
    ByRef LWORK As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub ZUNGQL Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef K As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef TAU As Complex, _
    ByRef WORK As Complex, _
    ByRef LWORK As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F08CTF Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef K As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef TAU As Complex, _
    ByRef WORK As Complex, _
    ByRef LWORK As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub ZUNMQL Lib "FLDLL224M_nag.dll" ( _
    ByVal SIDE As string, ByVal SIDELength As Integer, _
    ByVal TRANS As string, ByVal TRANSLength As Integer, _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef K As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef TAU As Complex, _
    ByRef C As Complex, _
    ByRef LDC As Integer, _
    ByRef WORK As Complex, _
    ByRef LWORK As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F08CUF Lib "FLDLL224M_nag.dll" ( _
    ByVal SIDE As string, ByVal SIDELength As Integer, _
    ByVal TRANS As string, ByVal TRANSLength As Integer, _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef K As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef TAU As Complex, _
    ByRef C As Complex, _
    ByRef LDC As Integer, _
    ByRef WORK As Complex, _
    ByRef LWORK As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub ZGERQF Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef TAU As Complex, _
    ByRef WORK As Complex, _
    ByRef LWORK As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F08CVF Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef TAU As Complex, _
    ByRef WORK As Complex, _
    ByRef LWORK As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub ZUNGRQ Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef K As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef TAU As Complex, _
    ByRef WORK As Complex, _
    ByRef LWORK As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F08CWF Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef K As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef TAU As Complex, _
    ByRef WORK As Complex, _
    ByRef LWORK As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub ZUNMRQ Lib "FLDLL224M_nag.dll" ( _
    ByVal SIDE As string, ByVal SIDELength As Integer, _
    ByVal TRANS As string, ByVal TRANSLength As Integer, _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef K As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef TAU As Complex, _
    ByRef C As Complex, _
    ByRef LDC As Integer, _
    ByRef WORK As Complex, _
    ByRef LWORK As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F08CXF Lib "FLDLL224M_nag.dll" ( _
    ByVal SIDE As string, ByVal SIDELength As Integer, _
    ByVal TRANS As string, ByVal TRANSLength As Integer, _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef K As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef TAU As Complex, _
    ByRef C As Complex, _
    ByRef LDC As Integer, _
    ByRef WORK As Complex, _
    ByRef LWORK As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub DSYEV Lib "FLDLL224M_nag.dll" ( _
    ByVal JOBZ As string, ByVal JOBZLength As Integer, _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef W As Double, _
    ByRef WORK As Double, _
    ByRef LWORK As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F08FAF Lib "FLDLL224M_nag.dll" ( _
    ByVal JOBZ As string, ByVal JOBZLength As Integer, _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef W As Double, _
    ByRef WORK As Double, _
    ByRef LWORK As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub DSYEVX Lib "FLDLL224M_nag.dll" ( _
    ByVal JOBZ As string, ByVal JOBZLength As Integer, ByVal RANGE As string, ByVal RANGELength As Integer, ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, ByRef A As Double, ByRef LDA As Integer, _
    ByRef VL As Double, ByRef VU As Double, ByRef IL As Integer, _
    ByRef IU As Integer, ByRef ABSTOL As Double, ByRef M As Integer, _
    ByRef W As Double, ByRef Z As Double, ByRef LDZ As Integer, _
    ByRef WORK As Double, ByRef LWORK As Integer, ByRef IWORK As Integer, _
    ByRef JFAIL As Integer, ByRef INFO As Integer _
   )

   Declare Sub F08FBF Lib "FLDLL224M_nag.dll" ( _
    ByVal JOBZ As string, ByVal JOBZLength As Integer, ByVal RANGE As string, ByVal RANGELength As Integer, ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, ByRef A As Double, ByRef LDA As Integer, _
    ByRef VL As Double, ByRef VU As Double, ByRef IL As Integer, _
    ByRef IU As Integer, ByRef ABSTOL As Double, ByRef M As Integer, _
    ByRef W As Double, ByRef Z As Double, ByRef LDZ As Integer, _
    ByRef WORK As Double, ByRef LWORK As Integer, ByRef IWORK As Integer, _
    ByRef JFAIL As Integer, ByRef INFO As Integer _
   )


   Declare Sub DSYEVD Lib "FLDLL224M_nag.dll" ( _
    ByVal JOB As string, ByVal JOBLength As Integer, _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef W As Double, _
    ByRef WORK As Double, _
    ByRef LWORK As Integer, _
    ByRef IWORK As Integer, _
    ByRef LIWORK As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F08FCF Lib "FLDLL224M_nag.dll" ( _
    ByVal JOB As string, ByVal JOBLength As Integer, _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef W As Double, _
    ByRef WORK As Double, _
    ByRef LWORK As Integer, _
    ByRef IWORK As Integer, _
    ByRef LIWORK As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub DSYEVR Lib "FLDLL224M_nag.dll" ( _
    ByVal JOBZ As string, ByVal JOBZLength As Integer, ByVal RANGE As string, ByVal RANGELength As Integer, ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, ByRef A As Double, ByRef LDA As Integer, _
    ByRef VL As Double, ByRef VU As Double, ByRef IL As Integer, _
    ByRef IU As Integer, ByRef ABSTOL As Double, ByRef M As Integer, _
    ByRef W As Double, ByRef Z As Double, ByRef LDZ As Integer, _
    ByRef ISUPPZ As Integer, ByRef WORK As Double, ByRef LWORK As Integer, _
    ByRef IWORK As Integer, ByRef LIWORK As Integer, ByRef INFO As Integer _
   )

   Declare Sub F08FDF Lib "FLDLL224M_nag.dll" ( _
    ByVal JOBZ As string, ByVal JOBZLength As Integer, ByVal RANGE As string, ByVal RANGELength As Integer, ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, ByRef A As Double, ByRef LDA As Integer, _
    ByRef VL As Double, ByRef VU As Double, ByRef IL As Integer, _
    ByRef IU As Integer, ByRef ABSTOL As Double, ByRef M As Integer, _
    ByRef W As Double, ByRef Z As Double, ByRef LDZ As Integer, _
    ByRef ISUPPZ As Integer, ByRef WORK As Double, ByRef LWORK As Integer, _
    ByRef IWORK As Integer, ByRef LIWORK As Integer, ByRef INFO As Integer _
   )


   Declare Sub DSYTRD Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef D As Double, _
    ByRef E As Double, _
    ByRef TAU As Double, _
    ByRef WORK As Double, _
    ByRef LWORK As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F08FEF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef D As Double, _
    ByRef E As Double, _
    ByRef TAU As Double, _
    ByRef WORK As Double, _
    ByRef LWORK As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub DORGTR Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef TAU As Double, _
    ByRef WORK As Double, _
    ByRef LWORK As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F08FFF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef TAU As Double, _
    ByRef WORK As Double, _
    ByRef LWORK As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub DORMTR Lib "FLDLL224M_nag.dll" ( _
    ByVal SIDE As string, ByVal SIDELength As Integer, _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByVal TRANS As string, ByVal TRANSLength As Integer, _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef TAU As Double, _
    ByRef C As Double, _
    ByRef LDC As Integer, _
    ByRef WORK As Double, _
    ByRef LWORK As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F08FGF Lib "FLDLL224M_nag.dll" ( _
    ByVal SIDE As string, ByVal SIDELength As Integer, _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByVal TRANS As string, ByVal TRANSLength As Integer, _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef TAU As Double, _
    ByRef C As Double, _
    ByRef LDC As Integer, _
    ByRef WORK As Double, _
    ByRef LWORK As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub DDISNA Lib "FLDLL224M_nag.dll" ( _
    ByVal JOB As string, ByVal JOBLength As Integer, _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef D As Double, _
    ByRef SEP As Double, _
    ByRef INFO As Integer _
   )

   Declare Sub F08FLF Lib "FLDLL224M_nag.dll" ( _
    ByVal JOB As string, ByVal JOBLength As Integer, _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef D As Double, _
    ByRef SEP As Double, _
    ByRef INFO As Integer _
   )


   Declare Sub ZHEEV Lib "FLDLL224M_nag.dll" ( _
    ByVal JOBZ As string, ByVal JOBZLength As Integer, _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef W As Double, _
    ByRef WORK As Complex, _
    ByRef LWORK As Integer, _
    ByRef RWORK As Double, _
    ByRef INFO As Integer _
   )

   Declare Sub F08FNF Lib "FLDLL224M_nag.dll" ( _
    ByVal JOBZ As string, ByVal JOBZLength As Integer, _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef W As Double, _
    ByRef WORK As Complex, _
    ByRef LWORK As Integer, _
    ByRef RWORK As Double, _
    ByRef INFO As Integer _
   )


   Declare Sub ZHEEVX Lib "FLDLL224M_nag.dll" ( _
    ByVal JOBZ As string, ByVal JOBZLength As Integer, ByVal RANGE As string, ByVal RANGELength As Integer, ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, ByRef A As Complex, ByRef LDA As Integer, _
    ByRef VL As Double, ByRef VU As Double, ByRef IL As Integer, _
    ByRef IU As Integer, ByRef ABSTOL As Double, ByRef M As Integer, _
    ByRef W As Double, ByRef Z As Complex, ByRef LDZ As Integer, _
    ByRef WORK As Complex, ByRef LWORK As Integer, ByRef RWORK As Double, _
    ByRef IWORK As Integer, ByRef JFAIL As Integer, ByRef INFO As Integer _
   )

   Declare Sub F08FPF Lib "FLDLL224M_nag.dll" ( _
    ByVal JOBZ As string, ByVal JOBZLength As Integer, ByVal RANGE As string, ByVal RANGELength As Integer, ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, ByRef A As Complex, ByRef LDA As Integer, _
    ByRef VL As Double, ByRef VU As Double, ByRef IL As Integer, _
    ByRef IU As Integer, ByRef ABSTOL As Double, ByRef M As Integer, _
    ByRef W As Double, ByRef Z As Complex, ByRef LDZ As Integer, _
    ByRef WORK As Complex, ByRef LWORK As Integer, ByRef RWORK As Double, _
    ByRef IWORK As Integer, ByRef JFAIL As Integer, ByRef INFO As Integer _
   )


   Declare Sub ZHEEVD Lib "FLDLL224M_nag.dll" ( _
    ByVal JOB As string, ByVal JOBLength As Integer, _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef W As Double, _
    ByRef WORK As Complex, _
    ByRef LWORK As Integer, _
    ByRef RWORK As Double, _
    ByRef LRWORK As Integer, _
    ByRef IWORK As Integer, _
    ByRef LIWORK As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F08FQF Lib "FLDLL224M_nag.dll" ( _
    ByVal JOB As string, ByVal JOBLength As Integer, _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef W As Double, _
    ByRef WORK As Complex, _
    ByRef LWORK As Integer, _
    ByRef RWORK As Double, _
    ByRef LRWORK As Integer, _
    ByRef IWORK As Integer, _
    ByRef LIWORK As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub ZHEEVR Lib "FLDLL224M_nag.dll" ( _
    ByVal JOBZ As string, ByVal JOBZLength As Integer, ByVal RANGE As string, ByVal RANGELength As Integer, ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, ByRef A As Complex, ByRef LDA As Integer, _
    ByRef VL As Double, ByRef VU As Double, ByRef IL As Integer, _
    ByRef IU As Integer, ByRef ABSTOL As Double, ByRef M As Integer, _
    ByRef W As Double, ByRef Z As Complex, ByRef LDZ As Integer, _
    ByRef ISUPPZ As Integer, ByRef WORK As Complex, ByRef LWORK As Integer, _
    ByRef RWORK As Double, ByRef LRWORK As Integer, ByRef IWORK As Integer, _
    ByRef LIWORK As Integer, ByRef INFO As Integer _
   )

   Declare Sub F08FRF Lib "FLDLL224M_nag.dll" ( _
    ByVal JOBZ As string, ByVal JOBZLength As Integer, ByVal RANGE As string, ByVal RANGELength As Integer, ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, ByRef A As Complex, ByRef LDA As Integer, _
    ByRef VL As Double, ByRef VU As Double, ByRef IL As Integer, _
    ByRef IU As Integer, ByRef ABSTOL As Double, ByRef M As Integer, _
    ByRef W As Double, ByRef Z As Complex, ByRef LDZ As Integer, _
    ByRef ISUPPZ As Integer, ByRef WORK As Complex, ByRef LWORK As Integer, _
    ByRef RWORK As Double, ByRef LRWORK As Integer, ByRef IWORK As Integer, _
    ByRef LIWORK As Integer, ByRef INFO As Integer _
   )


   Declare Sub ZHETRD Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef D As Double, _
    ByRef E As Double, _
    ByRef TAU As Complex, _
    ByRef WORK As Complex, _
    ByRef LWORK As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F08FSF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef D As Double, _
    ByRef E As Double, _
    ByRef TAU As Complex, _
    ByRef WORK As Complex, _
    ByRef LWORK As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub ZUNGTR Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef TAU As Complex, _
    ByRef WORK As Complex, _
    ByRef LWORK As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F08FTF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef TAU As Complex, _
    ByRef WORK As Complex, _
    ByRef LWORK As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub ZUNMTR Lib "FLDLL224M_nag.dll" ( _
    ByVal SIDE As string, ByVal SIDELength As Integer, _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByVal TRANS As string, ByVal TRANSLength As Integer, _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef TAU As Complex, _
    ByRef C As Complex, _
    ByRef LDC As Integer, _
    ByRef WORK As Complex, _
    ByRef LWORK As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F08FUF Lib "FLDLL224M_nag.dll" ( _
    ByVal SIDE As string, ByVal SIDELength As Integer, _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByVal TRANS As string, ByVal TRANSLength As Integer, _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef TAU As Complex, _
    ByRef C As Complex, _
    ByRef LDC As Integer, _
    ByRef WORK As Complex, _
    ByRef LWORK As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub DSPEV Lib "FLDLL224M_nag.dll" ( _
    ByVal JOBZ As string, ByVal JOBZLength As Integer, _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef AP As Double, _
    ByRef W As Double, _
    ByRef Z As Double, _
    ByRef LDZ As Integer, _
    ByRef WORK As Double, _
    ByRef INFO As Integer _
   )

   Declare Sub F08GAF Lib "FLDLL224M_nag.dll" ( _
    ByVal JOBZ As string, ByVal JOBZLength As Integer, _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef AP As Double, _
    ByRef W As Double, _
    ByRef Z As Double, _
    ByRef LDZ As Integer, _
    ByRef WORK As Double, _
    ByRef INFO As Integer _
   )


   Declare Sub DSPEVX Lib "FLDLL224M_nag.dll" ( _
    ByVal JOBZ As string, ByVal JOBZLength As Integer, _
    ByVal RANGE As string, ByVal RANGELength As Integer, _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef AP As Double, _
    ByRef VL As Double, _
    ByRef VU As Double, _
    ByRef IL As Integer, _
    ByRef IU As Integer, _
    ByRef ABSTOL As Double, _
    ByRef M As Integer, _
    ByRef W As Double, _
    ByRef Z As Double, _
    ByRef LDZ As Integer, _
    ByRef WORK As Double, _
    ByRef IWORK As Integer, _
    ByRef JFAIL As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F08GBF Lib "FLDLL224M_nag.dll" ( _
    ByVal JOBZ As string, ByVal JOBZLength As Integer, _
    ByVal RANGE As string, ByVal RANGELength As Integer, _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef AP As Double, _
    ByRef VL As Double, _
    ByRef VU As Double, _
    ByRef IL As Integer, _
    ByRef IU As Integer, _
    ByRef ABSTOL As Double, _
    ByRef M As Integer, _
    ByRef W As Double, _
    ByRef Z As Double, _
    ByRef LDZ As Integer, _
    ByRef WORK As Double, _
    ByRef IWORK As Integer, _
    ByRef JFAIL As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub DSPEVD Lib "FLDLL224M_nag.dll" ( _
    ByVal JOB As string, ByVal JOBLength As Integer, _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef AP As Double, _
    ByRef W As Double, _
    ByRef Z As Double, _
    ByRef LDZ As Integer, _
    ByRef WORK As Double, _
    ByRef LWORK As Integer, _
    ByRef IWORK As Integer, _
    ByRef LIWORK As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F08GCF Lib "FLDLL224M_nag.dll" ( _
    ByVal JOB As string, ByVal JOBLength As Integer, _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef AP As Double, _
    ByRef W As Double, _
    ByRef Z As Double, _
    ByRef LDZ As Integer, _
    ByRef WORK As Double, _
    ByRef LWORK As Integer, _
    ByRef IWORK As Integer, _
    ByRef LIWORK As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub DSPTRD Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef AP As Double, _
    ByRef D As Double, _
    ByRef E As Double, _
    ByRef TAU As Double, _
    ByRef INFO As Integer _
   )

   Declare Sub F08GEF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef AP As Double, _
    ByRef D As Double, _
    ByRef E As Double, _
    ByRef TAU As Double, _
    ByRef INFO As Integer _
   )


   Declare Sub DOPGTR Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef AP As Double, _
    ByRef TAU As Double, _
    ByRef Q As Double, _
    ByRef LDQ As Integer, _
    ByRef WORK As Double, _
    ByRef INFO As Integer _
   )

   Declare Sub F08GFF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef AP As Double, _
    ByRef TAU As Double, _
    ByRef Q As Double, _
    ByRef LDQ As Integer, _
    ByRef WORK As Double, _
    ByRef INFO As Integer _
   )


   Declare Sub DOPMTR Lib "FLDLL224M_nag.dll" ( _
    ByVal SIDE As string, ByVal SIDELength As Integer, _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByVal TRANS As string, ByVal TRANSLength As Integer, _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef AP As Double, _
    ByRef TAU As Double, _
    ByRef C As Double, _
    ByRef LDC As Integer, _
    ByRef WORK As Double, _
    ByRef INFO As Integer _
   )

   Declare Sub F08GGF Lib "FLDLL224M_nag.dll" ( _
    ByVal SIDE As string, ByVal SIDELength As Integer, _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByVal TRANS As string, ByVal TRANSLength As Integer, _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef AP As Double, _
    ByRef TAU As Double, _
    ByRef C As Double, _
    ByRef LDC As Integer, _
    ByRef WORK As Double, _
    ByRef INFO As Integer _
   )


   Declare Sub ZHPEV Lib "FLDLL224M_nag.dll" ( _
    ByVal JOBZ As string, ByVal JOBZLength As Integer, _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef AP As Complex, _
    ByRef W As Double, _
    ByRef Z As Complex, _
    ByRef LDZ As Integer, _
    ByRef WORK As Complex, _
    ByRef RWORK As Double, _
    ByRef INFO As Integer _
   )

   Declare Sub F08GNF Lib "FLDLL224M_nag.dll" ( _
    ByVal JOBZ As string, ByVal JOBZLength As Integer, _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef AP As Complex, _
    ByRef W As Double, _
    ByRef Z As Complex, _
    ByRef LDZ As Integer, _
    ByRef WORK As Complex, _
    ByRef RWORK As Double, _
    ByRef INFO As Integer _
   )


   Declare Sub ZHPEVX Lib "FLDLL224M_nag.dll" ( _
    ByVal JOBZ As string, ByVal JOBZLength As Integer, _
    ByVal RANGE As string, ByVal RANGELength As Integer, _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef AP As Complex, _
    ByRef VL As Double, _
    ByRef VU As Double, _
    ByRef IL As Integer, _
    ByRef IU As Integer, _
    ByRef ABSTOL As Double, _
    ByRef M As Integer, _
    ByRef W As Double, _
    ByRef Z As Complex, _
    ByRef LDZ As Integer, _
    ByRef WORK As Complex, _
    ByRef RWORK As Double, _
    ByRef IWORK As Integer, _
    ByRef JFAIL As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F08GPF Lib "FLDLL224M_nag.dll" ( _
    ByVal JOBZ As string, ByVal JOBZLength As Integer, _
    ByVal RANGE As string, ByVal RANGELength As Integer, _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef AP As Complex, _
    ByRef VL As Double, _
    ByRef VU As Double, _
    ByRef IL As Integer, _
    ByRef IU As Integer, _
    ByRef ABSTOL As Double, _
    ByRef M As Integer, _
    ByRef W As Double, _
    ByRef Z As Complex, _
    ByRef LDZ As Integer, _
    ByRef WORK As Complex, _
    ByRef RWORK As Double, _
    ByRef IWORK As Integer, _
    ByRef JFAIL As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub ZHPEVD Lib "FLDLL224M_nag.dll" ( _
    ByVal JOB As string, ByVal JOBLength As Integer, _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef AP As Complex, _
    ByRef W As Double, _
    ByRef Z As Complex, _
    ByRef LDZ As Integer, _
    ByRef WORK As Complex, _
    ByRef LWORK As Integer, _
    ByRef RWORK As Double, _
    ByRef LRWORK As Integer, _
    ByRef IWORK As Integer, _
    ByRef LIWORK As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F08GQF Lib "FLDLL224M_nag.dll" ( _
    ByVal JOB As string, ByVal JOBLength As Integer, _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef AP As Complex, _
    ByRef W As Double, _
    ByRef Z As Complex, _
    ByRef LDZ As Integer, _
    ByRef WORK As Complex, _
    ByRef LWORK As Integer, _
    ByRef RWORK As Double, _
    ByRef LRWORK As Integer, _
    ByRef IWORK As Integer, _
    ByRef LIWORK As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub ZHPTRD Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef AP As Complex, _
    ByRef D As Double, _
    ByRef E As Double, _
    ByRef TAU As Complex, _
    ByRef INFO As Integer _
   )

   Declare Sub F08GSF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef AP As Complex, _
    ByRef D As Double, _
    ByRef E As Double, _
    ByRef TAU As Complex, _
    ByRef INFO As Integer _
   )


   Declare Sub ZUPGTR Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef AP As Complex, _
    ByRef TAU As Complex, _
    ByRef Q As Complex, _
    ByRef LDQ As Integer, _
    ByRef WORK As Complex, _
    ByRef INFO As Integer _
   )

   Declare Sub F08GTF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef AP As Complex, _
    ByRef TAU As Complex, _
    ByRef Q As Complex, _
    ByRef LDQ As Integer, _
    ByRef WORK As Complex, _
    ByRef INFO As Integer _
   )


   Declare Sub ZUPMTR Lib "FLDLL224M_nag.dll" ( _
    ByVal SIDE As string, ByVal SIDELength As Integer, _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByVal TRANS As string, ByVal TRANSLength As Integer, _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef AP As Complex, _
    ByRef TAU As Complex, _
    ByRef C As Complex, _
    ByRef LDC As Integer, _
    ByRef WORK As Complex, _
    ByRef INFO As Integer _
   )

   Declare Sub F08GUF Lib "FLDLL224M_nag.dll" ( _
    ByVal SIDE As string, ByVal SIDELength As Integer, _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByVal TRANS As string, ByVal TRANSLength As Integer, _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef AP As Complex, _
    ByRef TAU As Complex, _
    ByRef C As Complex, _
    ByRef LDC As Integer, _
    ByRef WORK As Complex, _
    ByRef INFO As Integer _
   )


   Declare Sub DSBEV Lib "FLDLL224M_nag.dll" ( _
    ByVal JOBZ As string, ByVal JOBZLength As Integer, _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef KD As Integer, _
    ByRef AB As Double, _
    ByRef LDAB As Integer, _
    ByRef W As Double, _
    ByRef Z As Double, _
    ByRef LDZ As Integer, _
    ByRef WORK As Double, _
    ByRef INFO As Integer _
   )

   Declare Sub F08HAF Lib "FLDLL224M_nag.dll" ( _
    ByVal JOBZ As string, ByVal JOBZLength As Integer, _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef KD As Integer, _
    ByRef AB As Double, _
    ByRef LDAB As Integer, _
    ByRef W As Double, _
    ByRef Z As Double, _
    ByRef LDZ As Integer, _
    ByRef WORK As Double, _
    ByRef INFO As Integer _
   )


   Declare Sub DSBEVX Lib "FLDLL224M_nag.dll" ( _
    ByVal JOBZ As string, ByVal JOBZLength As Integer, ByVal RANGE As string, ByVal RANGELength As Integer, ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, ByRef KD As Integer, ByRef AB As Double, _
    ByRef LDAB As Integer, ByRef Q As Double, ByRef LDQ As Integer, _
    ByRef VL As Double, ByRef VU As Double, ByRef IL As Integer, _
    ByRef IU As Integer, ByRef ABSTOL As Double, ByRef M As Integer, _
    ByRef W As Double, ByRef Z As Double, ByRef LDZ As Integer, _
    ByRef WORK As Double, ByRef IWORK As Integer, ByRef JFAIL As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F08HBF Lib "FLDLL224M_nag.dll" ( _
    ByVal JOBZ As string, ByVal JOBZLength As Integer, ByVal RANGE As string, ByVal RANGELength As Integer, ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, ByRef KD As Integer, ByRef AB As Double, _
    ByRef LDAB As Integer, ByRef Q As Double, ByRef LDQ As Integer, _
    ByRef VL As Double, ByRef VU As Double, ByRef IL As Integer, _
    ByRef IU As Integer, ByRef ABSTOL As Double, ByRef M As Integer, _
    ByRef W As Double, ByRef Z As Double, ByRef LDZ As Integer, _
    ByRef WORK As Double, ByRef IWORK As Integer, ByRef JFAIL As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub DSBEVD Lib "FLDLL224M_nag.dll" ( _
    ByVal JOB As string, ByVal JOBLength As Integer, _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef KD As Integer, _
    ByRef AB As Double, _
    ByRef LDAB As Integer, _
    ByRef W As Double, _
    ByRef Z As Double, _
    ByRef LDZ As Integer, _
    ByRef WORK As Double, _
    ByRef LWORK As Integer, _
    ByRef IWORK As Integer, _
    ByRef LIWORK As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F08HCF Lib "FLDLL224M_nag.dll" ( _
    ByVal JOB As string, ByVal JOBLength As Integer, _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef KD As Integer, _
    ByRef AB As Double, _
    ByRef LDAB As Integer, _
    ByRef W As Double, _
    ByRef Z As Double, _
    ByRef LDZ As Integer, _
    ByRef WORK As Double, _
    ByRef LWORK As Integer, _
    ByRef IWORK As Integer, _
    ByRef LIWORK As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub DSBTRD Lib "FLDLL224M_nag.dll" ( _
    ByVal VECT As string, ByVal VECTLength As Integer, _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef KD As Integer, _
    ByRef AB As Double, _
    ByRef LDAB As Integer, _
    ByRef D As Double, _
    ByRef E As Double, _
    ByRef Q As Double, _
    ByRef LDQ As Integer, _
    ByRef WORK As Double, _
    ByRef INFO As Integer _
   )

   Declare Sub F08HEF Lib "FLDLL224M_nag.dll" ( _
    ByVal VECT As string, ByVal VECTLength As Integer, _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef KD As Integer, _
    ByRef AB As Double, _
    ByRef LDAB As Integer, _
    ByRef D As Double, _
    ByRef E As Double, _
    ByRef Q As Double, _
    ByRef LDQ As Integer, _
    ByRef WORK As Double, _
    ByRef INFO As Integer _
   )


   Declare Sub ZHBEV Lib "FLDLL224M_nag.dll" ( _
    ByVal JOBZ As string, ByVal JOBZLength As Integer, _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef KD As Integer, _
    ByRef AB As Complex, _
    ByRef LDAB As Integer, _
    ByRef W As Double, _
    ByRef Z As Complex, _
    ByRef LDZ As Integer, _
    ByRef WORK As Complex, _
    ByRef RWORK As Double, _
    ByRef INFO As Integer _
   )

   Declare Sub F08HNF Lib "FLDLL224M_nag.dll" ( _
    ByVal JOBZ As string, ByVal JOBZLength As Integer, _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef KD As Integer, _
    ByRef AB As Complex, _
    ByRef LDAB As Integer, _
    ByRef W As Double, _
    ByRef Z As Complex, _
    ByRef LDZ As Integer, _
    ByRef WORK As Complex, _
    ByRef RWORK As Double, _
    ByRef INFO As Integer _
   )


   Declare Sub ZHBEVX Lib "FLDLL224M_nag.dll" ( _
    ByVal JOBZ As string, ByVal JOBZLength As Integer, ByVal RANGE As string, ByVal RANGELength As Integer, ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, ByRef KD As Integer, ByRef AB As Complex, _
    ByRef LDAB As Integer, ByRef Q As Complex, ByRef LDQ As Integer, _
    ByRef VL As Double, ByRef VU As Double, ByRef IL As Integer, _
    ByRef IU As Integer, ByRef ABSTOL As Double, ByRef M As Integer, _
    ByRef W As Double, ByRef Z As Complex, ByRef LDZ As Integer, _
    ByRef WORK As Complex, ByRef RWORK As Double, ByRef IWORK As Integer, _
    ByRef JFAIL As Integer, ByRef INFO As Integer _
   )

   Declare Sub F08HPF Lib "FLDLL224M_nag.dll" ( _
    ByVal JOBZ As string, ByVal JOBZLength As Integer, ByVal RANGE As string, ByVal RANGELength As Integer, ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, ByRef KD As Integer, ByRef AB As Complex, _
    ByRef LDAB As Integer, ByRef Q As Complex, ByRef LDQ As Integer, _
    ByRef VL As Double, ByRef VU As Double, ByRef IL As Integer, _
    ByRef IU As Integer, ByRef ABSTOL As Double, ByRef M As Integer, _
    ByRef W As Double, ByRef Z As Complex, ByRef LDZ As Integer, _
    ByRef WORK As Complex, ByRef RWORK As Double, ByRef IWORK As Integer, _
    ByRef JFAIL As Integer, ByRef INFO As Integer _
   )


   Declare Sub ZHBEVD Lib "FLDLL224M_nag.dll" ( _
    ByVal JOB As string, ByVal JOBLength As Integer, _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef KD As Integer, _
    ByRef AB As Complex, _
    ByRef LDAB As Integer, _
    ByRef W As Double, _
    ByRef Z As Complex, _
    ByRef LDZ As Integer, _
    ByRef WORK As Complex, _
    ByRef LWORK As Integer, _
    ByRef RWORK As Double, _
    ByRef LRWORK As Integer, _
    ByRef IWORK As Integer, _
    ByRef LIWORK As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F08HQF Lib "FLDLL224M_nag.dll" ( _
    ByVal JOB As string, ByVal JOBLength As Integer, _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef KD As Integer, _
    ByRef AB As Complex, _
    ByRef LDAB As Integer, _
    ByRef W As Double, _
    ByRef Z As Complex, _
    ByRef LDZ As Integer, _
    ByRef WORK As Complex, _
    ByRef LWORK As Integer, _
    ByRef RWORK As Double, _
    ByRef LRWORK As Integer, _
    ByRef IWORK As Integer, _
    ByRef LIWORK As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub ZHBTRD Lib "FLDLL224M_nag.dll" ( _
    ByVal VECT As string, ByVal VECTLength As Integer, _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef KD As Integer, _
    ByRef AB As Complex, _
    ByRef LDAB As Integer, _
    ByRef D As Double, _
    ByRef E As Double, _
    ByRef Q As Complex, _
    ByRef LDQ As Integer, _
    ByRef WORK As Complex, _
    ByRef INFO As Integer _
   )

   Declare Sub F08HSF Lib "FLDLL224M_nag.dll" ( _
    ByVal VECT As string, ByVal VECTLength As Integer, _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef KD As Integer, _
    ByRef AB As Complex, _
    ByRef LDAB As Integer, _
    ByRef D As Double, _
    ByRef E As Double, _
    ByRef Q As Complex, _
    ByRef LDQ As Integer, _
    ByRef WORK As Complex, _
    ByRef INFO As Integer _
   )


   Declare Sub DSTEV Lib "FLDLL224M_nag.dll" ( _
    ByVal JOBZ As string, ByVal JOBZLength As Integer, _
    ByRef N As Integer, _
    ByRef D As Double, _
    ByRef E As Double, _
    ByRef Z As Double, _
    ByRef LDZ As Integer, _
    ByRef WORK As Double, _
    ByRef INFO As Integer _
   )

   Declare Sub F08JAF Lib "FLDLL224M_nag.dll" ( _
    ByVal JOBZ As string, ByVal JOBZLength As Integer, _
    ByRef N As Integer, _
    ByRef D As Double, _
    ByRef E As Double, _
    ByRef Z As Double, _
    ByRef LDZ As Integer, _
    ByRef WORK As Double, _
    ByRef INFO As Integer _
   )


   Declare Sub DSTEVX Lib "FLDLL224M_nag.dll" ( _
    ByVal JOBZ As string, ByVal JOBZLength As Integer, _
    ByVal RANGE As string, ByVal RANGELength As Integer, _
    ByRef N As Integer, _
    ByRef D As Double, _
    ByRef E As Double, _
    ByRef VL As Double, _
    ByRef VU As Double, _
    ByRef IL As Integer, _
    ByRef IU As Integer, _
    ByRef ABSTOL As Double, _
    ByRef M As Integer, _
    ByRef W As Double, _
    ByRef Z As Double, _
    ByRef LDZ As Integer, _
    ByRef WORK As Double, _
    ByRef IWORK As Integer, _
    ByRef JFAIL As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F08JBF Lib "FLDLL224M_nag.dll" ( _
    ByVal JOBZ As string, ByVal JOBZLength As Integer, _
    ByVal RANGE As string, ByVal RANGELength As Integer, _
    ByRef N As Integer, _
    ByRef D As Double, _
    ByRef E As Double, _
    ByRef VL As Double, _
    ByRef VU As Double, _
    ByRef IL As Integer, _
    ByRef IU As Integer, _
    ByRef ABSTOL As Double, _
    ByRef M As Integer, _
    ByRef W As Double, _
    ByRef Z As Double, _
    ByRef LDZ As Integer, _
    ByRef WORK As Double, _
    ByRef IWORK As Integer, _
    ByRef JFAIL As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub DSTEVD Lib "FLDLL224M_nag.dll" ( _
    ByVal JOB As string, ByVal JOBLength As Integer, _
    ByRef N As Integer, _
    ByRef D As Double, _
    ByRef E As Double, _
    ByRef Z As Double, _
    ByRef LDZ As Integer, _
    ByRef WORK As Double, _
    ByRef LWORK As Integer, _
    ByRef IWORK As Integer, _
    ByRef LIWORK As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F08JCF Lib "FLDLL224M_nag.dll" ( _
    ByVal JOB As string, ByVal JOBLength As Integer, _
    ByRef N As Integer, _
    ByRef D As Double, _
    ByRef E As Double, _
    ByRef Z As Double, _
    ByRef LDZ As Integer, _
    ByRef WORK As Double, _
    ByRef LWORK As Integer, _
    ByRef IWORK As Integer, _
    ByRef LIWORK As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub DSTEVR Lib "FLDLL224M_nag.dll" ( _
    ByVal JOBZ As string, ByVal JOBZLength As Integer, ByVal RANGE As string, ByVal RANGELength As Integer, ByRef N As Integer, _
    ByRef D As Double, ByRef E As Double, ByRef VL As Double, _
    ByRef VU As Double, ByRef IL As Integer, ByRef IU As Integer, _
    ByRef ABSTOL As Double, ByRef M As Integer, ByRef W As Double, _
    ByRef Z As Double, ByRef LDZ As Integer, ByRef ISUPPZ As Integer, _
    ByRef WORK As Double, ByRef LWORK As Integer, ByRef IWORK As Integer, _
    ByRef LIWORK As Integer, ByRef INFO As Integer _
   )

   Declare Sub F08JDF Lib "FLDLL224M_nag.dll" ( _
    ByVal JOBZ As string, ByVal JOBZLength As Integer, ByVal RANGE As string, ByVal RANGELength As Integer, ByRef N As Integer, _
    ByRef D As Double, ByRef E As Double, ByRef VL As Double, _
    ByRef VU As Double, ByRef IL As Integer, ByRef IU As Integer, _
    ByRef ABSTOL As Double, ByRef M As Integer, ByRef W As Double, _
    ByRef Z As Double, ByRef LDZ As Integer, ByRef ISUPPZ As Integer, _
    ByRef WORK As Double, ByRef LWORK As Integer, ByRef IWORK As Integer, _
    ByRef LIWORK As Integer, ByRef INFO As Integer _
   )


   Declare Sub DSTEQR Lib "FLDLL224M_nag.dll" ( _
    ByVal COMPZ As string, ByVal COMPZLength As Integer, _
    ByRef N As Integer, _
    ByRef D As Double, _
    ByRef E As Double, _
    ByRef Z As Double, _
    ByRef LDZ As Integer, _
    ByRef WORK As Double, _
    ByRef INFO As Integer _
   )

   Declare Sub F08JEF Lib "FLDLL224M_nag.dll" ( _
    ByVal COMPZ As string, ByVal COMPZLength As Integer, _
    ByRef N As Integer, _
    ByRef D As Double, _
    ByRef E As Double, _
    ByRef Z As Double, _
    ByRef LDZ As Integer, _
    ByRef WORK As Double, _
    ByRef INFO As Integer _
   )


   Declare Sub DSTERF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef D As Double, _
    ByRef E As Double, _
    ByRef INFO As Integer _
   )

   Declare Sub F08JFF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef D As Double, _
    ByRef E As Double, _
    ByRef INFO As Integer _
   )


   Declare Sub DPTEQR Lib "FLDLL224M_nag.dll" ( _
    ByVal COMPZ As string, ByVal COMPZLength As Integer, _
    ByRef N As Integer, _
    ByRef D As Double, _
    ByRef E As Double, _
    ByRef Z As Double, _
    ByRef LDZ As Integer, _
    ByRef WORK As Double, _
    ByRef INFO As Integer _
   )

   Declare Sub F08JGF Lib "FLDLL224M_nag.dll" ( _
    ByVal COMPZ As string, ByVal COMPZLength As Integer, _
    ByRef N As Integer, _
    ByRef D As Double, _
    ByRef E As Double, _
    ByRef Z As Double, _
    ByRef LDZ As Integer, _
    ByRef WORK As Double, _
    ByRef INFO As Integer _
   )


   Declare Sub DSTEDC Lib "FLDLL224M_nag.dll" ( _
    ByVal COMPZ As string, ByVal COMPZLength As Integer, _
    ByRef N As Integer, _
    ByRef D As Double, _
    ByRef E As Double, _
    ByRef Z As Double, _
    ByRef LDZ As Integer, _
    ByRef WORK As Double, _
    ByRef LWORK As Integer, _
    ByRef IWORK As Integer, _
    ByRef LIWORK As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F08JHF Lib "FLDLL224M_nag.dll" ( _
    ByVal COMPZ As string, ByVal COMPZLength As Integer, _
    ByRef N As Integer, _
    ByRef D As Double, _
    ByRef E As Double, _
    ByRef Z As Double, _
    ByRef LDZ As Integer, _
    ByRef WORK As Double, _
    ByRef LWORK As Integer, _
    ByRef IWORK As Integer, _
    ByRef LIWORK As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub DSTEBZ Lib "FLDLL224M_nag.dll" ( _
    ByVal RANGE As string, ByVal RANGELength As Integer, _
    ByVal ORDER As string, ByVal ORDERLength As Integer, _
    ByRef N As Integer, _
    ByRef VL As Double, _
    ByRef VU As Double, _
    ByRef IL As Integer, _
    ByRef IU As Integer, _
    ByRef ABSTOL As Double, _
    ByRef D As Double, _
    ByRef E As Double, _
    ByRef M As Integer, _
    ByRef NSPLIT As Integer, _
    ByRef W As Double, _
    ByRef IBLOCK As Integer, _
    ByRef ISPLIT As Integer, _
    ByRef WORK As Double, _
    ByRef IWORK As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F08JJF Lib "FLDLL224M_nag.dll" ( _
    ByVal RANGE As string, ByVal RANGELength As Integer, _
    ByVal ORDER As string, ByVal ORDERLength As Integer, _
    ByRef N As Integer, _
    ByRef VL As Double, _
    ByRef VU As Double, _
    ByRef IL As Integer, _
    ByRef IU As Integer, _
    ByRef ABSTOL As Double, _
    ByRef D As Double, _
    ByRef E As Double, _
    ByRef M As Integer, _
    ByRef NSPLIT As Integer, _
    ByRef W As Double, _
    ByRef IBLOCK As Integer, _
    ByRef ISPLIT As Integer, _
    ByRef WORK As Double, _
    ByRef IWORK As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub DSTEIN Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef D As Double, _
    ByRef E As Double, _
    ByRef M As Integer, _
    ByRef W As Double, _
    ByRef IBLOCK As Integer, _
    ByRef ISPLIT As Integer, _
    ByRef Z As Double, _
    ByRef LDZ As Integer, _
    ByRef WORK As Double, _
    ByRef IWORK As Integer, _
    ByRef IFAILV As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F08JKF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef D As Double, _
    ByRef E As Double, _
    ByRef M As Integer, _
    ByRef W As Double, _
    ByRef IBLOCK As Integer, _
    ByRef ISPLIT As Integer, _
    ByRef Z As Double, _
    ByRef LDZ As Integer, _
    ByRef WORK As Double, _
    ByRef IWORK As Integer, _
    ByRef IFAILV As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub DSTEGR Lib "FLDLL224M_nag.dll" ( _
    ByVal JOBZ As string, ByVal JOBZLength As Integer, ByVal RANGE As string, ByVal RANGELength As Integer, ByRef N As Integer, _
    ByRef D As Double, ByRef E As Double, ByRef VL As Double, _
    ByRef VU As Double, ByRef IL As Integer, ByRef IU As Integer, _
    ByRef ABSTOL As Double, ByRef M As Integer, ByRef W As Double, _
    ByRef Z As Double, ByRef LDZ As Integer, ByRef ISUPPZ As Integer, _
    ByRef WORK As Double, ByRef LWORK As Integer, ByRef IWORK As Integer, _
    ByRef LIWORK As Integer, ByRef INFO As Integer _
   )

   Declare Sub F08JLF Lib "FLDLL224M_nag.dll" ( _
    ByVal JOBZ As string, ByVal JOBZLength As Integer, ByVal RANGE As string, ByVal RANGELength As Integer, ByRef N As Integer, _
    ByRef D As Double, ByRef E As Double, ByRef VL As Double, _
    ByRef VU As Double, ByRef IL As Integer, ByRef IU As Integer, _
    ByRef ABSTOL As Double, ByRef M As Integer, ByRef W As Double, _
    ByRef Z As Double, ByRef LDZ As Integer, ByRef ISUPPZ As Integer, _
    ByRef WORK As Double, ByRef LWORK As Integer, ByRef IWORK As Integer, _
    ByRef LIWORK As Integer, ByRef INFO As Integer _
   )


   Declare Sub ZSTEQR Lib "FLDLL224M_nag.dll" ( _
    ByVal COMPZ As string, ByVal COMPZLength As Integer, _
    ByRef N As Integer, _
    ByRef D As Double, _
    ByRef E As Double, _
    ByRef Z As Complex, _
    ByRef LDZ As Integer, _
    ByRef WORK As Double, _
    ByRef INFO As Integer _
   )

   Declare Sub F08JSF Lib "FLDLL224M_nag.dll" ( _
    ByVal COMPZ As string, ByVal COMPZLength As Integer, _
    ByRef N As Integer, _
    ByRef D As Double, _
    ByRef E As Double, _
    ByRef Z As Complex, _
    ByRef LDZ As Integer, _
    ByRef WORK As Double, _
    ByRef INFO As Integer _
   )


   Declare Sub ZPTEQR Lib "FLDLL224M_nag.dll" ( _
    ByVal COMPZ As string, ByVal COMPZLength As Integer, _
    ByRef N As Integer, _
    ByRef D As Double, _
    ByRef E As Double, _
    ByRef Z As Complex, _
    ByRef LDZ As Integer, _
    ByRef WORK As Double, _
    ByRef INFO As Integer _
   )

   Declare Sub F08JUF Lib "FLDLL224M_nag.dll" ( _
    ByVal COMPZ As string, ByVal COMPZLength As Integer, _
    ByRef N As Integer, _
    ByRef D As Double, _
    ByRef E As Double, _
    ByRef Z As Complex, _
    ByRef LDZ As Integer, _
    ByRef WORK As Double, _
    ByRef INFO As Integer _
   )


   Declare Sub ZSTEDC Lib "FLDLL224M_nag.dll" ( _
    ByVal COMPZ As string, ByVal COMPZLength As Integer, _
    ByRef N As Integer, _
    ByRef D As Double, _
    ByRef E As Double, _
    ByRef Z As Complex, _
    ByRef LDZ As Integer, _
    ByRef WORK As Complex, _
    ByRef LWORK As Integer, _
    ByRef RWORK As Double, _
    ByRef LRWORK As Integer, _
    ByRef IWORK As Integer, _
    ByRef LIWORK As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F08JVF Lib "FLDLL224M_nag.dll" ( _
    ByVal COMPZ As string, ByVal COMPZLength As Integer, _
    ByRef N As Integer, _
    ByRef D As Double, _
    ByRef E As Double, _
    ByRef Z As Complex, _
    ByRef LDZ As Integer, _
    ByRef WORK As Complex, _
    ByRef LWORK As Integer, _
    ByRef RWORK As Double, _
    ByRef LRWORK As Integer, _
    ByRef IWORK As Integer, _
    ByRef LIWORK As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub ZSTEIN Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef D As Double, _
    ByRef E As Double, _
    ByRef M As Integer, _
    ByRef W As Double, _
    ByRef IBLOCK As Integer, _
    ByRef ISPLIT As Integer, _
    ByRef Z As Complex, _
    ByRef LDZ As Integer, _
    ByRef WORK As Double, _
    ByRef IWORK As Integer, _
    ByRef IFAILV As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F08JXF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef D As Double, _
    ByRef E As Double, _
    ByRef M As Integer, _
    ByRef W As Double, _
    ByRef IBLOCK As Integer, _
    ByRef ISPLIT As Integer, _
    ByRef Z As Complex, _
    ByRef LDZ As Integer, _
    ByRef WORK As Double, _
    ByRef IWORK As Integer, _
    ByRef IFAILV As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub ZSTEGR Lib "FLDLL224M_nag.dll" ( _
    ByVal JOBZ As string, ByVal JOBZLength As Integer, ByVal RANGE As string, ByVal RANGELength As Integer, ByRef N As Integer, _
    ByRef D As Double, ByRef E As Double, ByRef VL As Double, _
    ByRef VU As Double, ByRef IL As Integer, ByRef IU As Integer, _
    ByRef ABSTOL As Double, ByRef M As Integer, ByRef W As Double, _
    ByRef Z As Complex, ByRef LDZ As Integer, ByRef ISUPPZ As Integer, _
    ByRef WORK As Double, ByRef LWORK As Integer, ByRef IWORK As Integer, _
    ByRef LIWORK As Integer, ByRef INFO As Integer _
   )

   Declare Sub F08JYF Lib "FLDLL224M_nag.dll" ( _
    ByVal JOBZ As string, ByVal JOBZLength As Integer, ByVal RANGE As string, ByVal RANGELength As Integer, ByRef N As Integer, _
    ByRef D As Double, ByRef E As Double, ByRef VL As Double, _
    ByRef VU As Double, ByRef IL As Integer, ByRef IU As Integer, _
    ByRef ABSTOL As Double, ByRef M As Integer, ByRef W As Double, _
    ByRef Z As Complex, ByRef LDZ As Integer, ByRef ISUPPZ As Integer, _
    ByRef WORK As Double, ByRef LWORK As Integer, ByRef IWORK As Integer, _
    ByRef LIWORK As Integer, ByRef INFO As Integer _
   )


   Declare Sub DGELSS Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef NRHS As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef B As Double, _
    ByRef LDB As Integer, _
    ByRef S As Double, _
    ByRef RCOND As Double, _
    ByRef RANK As Integer, _
    ByRef WORK As Double, _
    ByRef LWORK As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F08KAF Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef NRHS As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef B As Double, _
    ByRef LDB As Integer, _
    ByRef S As Double, _
    ByRef RCOND As Double, _
    ByRef RANK As Integer, _
    ByRef WORK As Double, _
    ByRef LWORK As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub DGESVD Lib "FLDLL224M_nag.dll" ( _
    ByVal JOBU As string, ByVal JOBULength As Integer, _
    ByVal JOBVT As string, ByVal JOBVTLength As Integer, _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef S As Double, _
    ByRef U As Double, _
    ByRef LDU As Integer, _
    ByRef VT As Double, _
    ByRef LDVT As Integer, _
    ByRef WORK As Double, _
    ByRef LWORK As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F08KBF Lib "FLDLL224M_nag.dll" ( _
    ByVal JOBU As string, ByVal JOBULength As Integer, _
    ByVal JOBVT As string, ByVal JOBVTLength As Integer, _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef S As Double, _
    ByRef U As Double, _
    ByRef LDU As Integer, _
    ByRef VT As Double, _
    ByRef LDVT As Integer, _
    ByRef WORK As Double, _
    ByRef LWORK As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub DGELSD Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef NRHS As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef B As Double, _
    ByRef LDB As Integer, _
    ByRef S As Double, _
    ByRef RCOND As Double, _
    ByRef RANK As Integer, _
    ByRef WORK As Double, _
    ByRef LWORK As Integer, _
    ByRef IWORK As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F08KCF Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef NRHS As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef B As Double, _
    ByRef LDB As Integer, _
    ByRef S As Double, _
    ByRef RCOND As Double, _
    ByRef RANK As Integer, _
    ByRef WORK As Double, _
    ByRef LWORK As Integer, _
    ByRef IWORK As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub DGESDD Lib "FLDLL224M_nag.dll" ( _
    ByVal JOBZ As string, ByVal JOBZLength As Integer, _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef S As Double, _
    ByRef U As Double, _
    ByRef LDU As Integer, _
    ByRef VT As Double, _
    ByRef LDVT As Integer, _
    ByRef WORK As Double, _
    ByRef LWORK As Integer, _
    ByRef IWORK As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F08KDF Lib "FLDLL224M_nag.dll" ( _
    ByVal JOBZ As string, ByVal JOBZLength As Integer, _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef S As Double, _
    ByRef U As Double, _
    ByRef LDU As Integer, _
    ByRef VT As Double, _
    ByRef LDVT As Integer, _
    ByRef WORK As Double, _
    ByRef LWORK As Integer, _
    ByRef IWORK As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub DGEBRD Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef D As Double, _
    ByRef E As Double, _
    ByRef TAUQ As Double, _
    ByRef TAUP As Double, _
    ByRef WORK As Double, _
    ByRef LWORK As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F08KEF Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef D As Double, _
    ByRef E As Double, _
    ByRef TAUQ As Double, _
    ByRef TAUP As Double, _
    ByRef WORK As Double, _
    ByRef LWORK As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub DORGBR Lib "FLDLL224M_nag.dll" ( _
    ByVal VECT As string, ByVal VECTLength As Integer, _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef K As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef TAU As Double, _
    ByRef WORK As Double, _
    ByRef LWORK As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F08KFF Lib "FLDLL224M_nag.dll" ( _
    ByVal VECT As string, ByVal VECTLength As Integer, _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef K As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef TAU As Double, _
    ByRef WORK As Double, _
    ByRef LWORK As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub DORMBR Lib "FLDLL224M_nag.dll" ( _
    ByVal VECT As string, ByVal VECTLength As Integer, _
    ByVal SIDE As string, ByVal SIDELength As Integer, _
    ByVal TRANS As string, ByVal TRANSLength As Integer, _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef K As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef TAU As Double, _
    ByRef C As Double, _
    ByRef LDC As Integer, _
    ByRef WORK As Double, _
    ByRef LWORK As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F08KGF Lib "FLDLL224M_nag.dll" ( _
    ByVal VECT As string, ByVal VECTLength As Integer, _
    ByVal SIDE As string, ByVal SIDELength As Integer, _
    ByVal TRANS As string, ByVal TRANSLength As Integer, _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef K As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef TAU As Double, _
    ByRef C As Double, _
    ByRef LDC As Integer, _
    ByRef WORK As Double, _
    ByRef LWORK As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub ZGELSS Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef NRHS As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef B As Complex, _
    ByRef LDB As Integer, _
    ByRef S As Double, _
    ByRef RCOND As Double, _
    ByRef RANK As Integer, _
    ByRef WORK As Complex, _
    ByRef LWORK As Integer, _
    ByRef RWORK As Double, _
    ByRef INFO As Integer _
   )

   Declare Sub F08KNF Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef NRHS As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef B As Complex, _
    ByRef LDB As Integer, _
    ByRef S As Double, _
    ByRef RCOND As Double, _
    ByRef RANK As Integer, _
    ByRef WORK As Complex, _
    ByRef LWORK As Integer, _
    ByRef RWORK As Double, _
    ByRef INFO As Integer _
   )


   Declare Sub ZGESVD Lib "FLDLL224M_nag.dll" ( _
    ByVal JOBU As string, ByVal JOBULength As Integer, _
    ByVal JOBVT As string, ByVal JOBVTLength As Integer, _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef S As Double, _
    ByRef U As Complex, _
    ByRef LDU As Integer, _
    ByRef VT As Complex, _
    ByRef LDVT As Integer, _
    ByRef WORK As Complex, _
    ByRef LWORK As Integer, _
    ByRef RWORK As Double, _
    ByRef INFO As Integer _
   )

   Declare Sub F08KPF Lib "FLDLL224M_nag.dll" ( _
    ByVal JOBU As string, ByVal JOBULength As Integer, _
    ByVal JOBVT As string, ByVal JOBVTLength As Integer, _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef S As Double, _
    ByRef U As Complex, _
    ByRef LDU As Integer, _
    ByRef VT As Complex, _
    ByRef LDVT As Integer, _
    ByRef WORK As Complex, _
    ByRef LWORK As Integer, _
    ByRef RWORK As Double, _
    ByRef INFO As Integer _
   )


   Declare Sub ZGELSD Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef NRHS As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef B As Complex, _
    ByRef LDB As Integer, _
    ByRef S As Double, _
    ByRef RCOND As Double, _
    ByRef RANK As Integer, _
    ByRef WORK As Complex, _
    ByRef LWORK As Integer, _
    ByRef RWORK As Double, _
    ByRef IWORK As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F08KQF Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef NRHS As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef B As Complex, _
    ByRef LDB As Integer, _
    ByRef S As Double, _
    ByRef RCOND As Double, _
    ByRef RANK As Integer, _
    ByRef WORK As Complex, _
    ByRef LWORK As Integer, _
    ByRef RWORK As Double, _
    ByRef IWORK As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub ZGESDD Lib "FLDLL224M_nag.dll" ( _
    ByVal JOBZ As string, ByVal JOBZLength As Integer, _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef S As Double, _
    ByRef U As Complex, _
    ByRef LDU As Integer, _
    ByRef VT As Complex, _
    ByRef LDVT As Integer, _
    ByRef WORK As Complex, _
    ByRef LWORK As Integer, _
    ByRef RWORK As Double, _
    ByRef IWORK As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F08KRF Lib "FLDLL224M_nag.dll" ( _
    ByVal JOBZ As string, ByVal JOBZLength As Integer, _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef S As Double, _
    ByRef U As Complex, _
    ByRef LDU As Integer, _
    ByRef VT As Complex, _
    ByRef LDVT As Integer, _
    ByRef WORK As Complex, _
    ByRef LWORK As Integer, _
    ByRef RWORK As Double, _
    ByRef IWORK As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub ZGEBRD Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef D As Double, _
    ByRef E As Double, _
    ByRef TAUQ As Complex, _
    ByRef TAUP As Complex, _
    ByRef WORK As Complex, _
    ByRef LWORK As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F08KSF Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef D As Double, _
    ByRef E As Double, _
    ByRef TAUQ As Complex, _
    ByRef TAUP As Complex, _
    ByRef WORK As Complex, _
    ByRef LWORK As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub ZUNGBR Lib "FLDLL224M_nag.dll" ( _
    ByVal VECT As string, ByVal VECTLength As Integer, _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef K As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef TAU As Complex, _
    ByRef WORK As Complex, _
    ByRef LWORK As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F08KTF Lib "FLDLL224M_nag.dll" ( _
    ByVal VECT As string, ByVal VECTLength As Integer, _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef K As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef TAU As Complex, _
    ByRef WORK As Complex, _
    ByRef LWORK As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub ZUNMBR Lib "FLDLL224M_nag.dll" ( _
    ByVal VECT As string, ByVal VECTLength As Integer, _
    ByVal SIDE As string, ByVal SIDELength As Integer, _
    ByVal TRANS As string, ByVal TRANSLength As Integer, _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef K As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef TAU As Complex, _
    ByRef C As Complex, _
    ByRef LDC As Integer, _
    ByRef WORK As Complex, _
    ByRef LWORK As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F08KUF Lib "FLDLL224M_nag.dll" ( _
    ByVal VECT As string, ByVal VECTLength As Integer, _
    ByVal SIDE As string, ByVal SIDELength As Integer, _
    ByVal TRANS As string, ByVal TRANSLength As Integer, _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef K As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef TAU As Complex, _
    ByRef C As Complex, _
    ByRef LDC As Integer, _
    ByRef WORK As Complex, _
    ByRef LWORK As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub DGBBRD Lib "FLDLL224M_nag.dll" ( _
    ByVal VECT As string, ByVal VECTLength As Integer, _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef NCC As Integer, _
    ByRef KL As Integer, _
    ByRef KU As Integer, _
    ByRef AB As Double, _
    ByRef LDAB As Integer, _
    ByRef D As Double, _
    ByRef E As Double, _
    ByRef Q As Double, _
    ByRef LDQ As Integer, _
    ByRef PT As Double, _
    ByRef LDPT As Integer, _
    ByRef C As Double, _
    ByRef LDC As Integer, _
    ByRef WORK As Double, _
    ByRef INFO As Integer _
   )

   Declare Sub F08LEF Lib "FLDLL224M_nag.dll" ( _
    ByVal VECT As string, ByVal VECTLength As Integer, _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef NCC As Integer, _
    ByRef KL As Integer, _
    ByRef KU As Integer, _
    ByRef AB As Double, _
    ByRef LDAB As Integer, _
    ByRef D As Double, _
    ByRef E As Double, _
    ByRef Q As Double, _
    ByRef LDQ As Integer, _
    ByRef PT As Double, _
    ByRef LDPT As Integer, _
    ByRef C As Double, _
    ByRef LDC As Integer, _
    ByRef WORK As Double, _
    ByRef INFO As Integer _
   )


   Declare Sub ZGBBRD Lib "FLDLL224M_nag.dll" ( _
    ByVal VECT As string, ByVal VECTLength As Integer, _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef NCC As Integer, _
    ByRef KL As Integer, _
    ByRef KU As Integer, _
    ByRef AB As Complex, _
    ByRef LDAB As Integer, _
    ByRef D As Double, _
    ByRef E As Double, _
    ByRef Q As Complex, _
    ByRef LDQ As Integer, _
    ByRef PT As Complex, _
    ByRef LDPT As Integer, _
    ByRef C As Complex, _
    ByRef LDC As Integer, _
    ByRef WORK As Complex, _
    ByRef RWORK As Double, _
    ByRef INFO As Integer _
   )

   Declare Sub F08LSF Lib "FLDLL224M_nag.dll" ( _
    ByVal VECT As string, ByVal VECTLength As Integer, _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef NCC As Integer, _
    ByRef KL As Integer, _
    ByRef KU As Integer, _
    ByRef AB As Complex, _
    ByRef LDAB As Integer, _
    ByRef D As Double, _
    ByRef E As Double, _
    ByRef Q As Complex, _
    ByRef LDQ As Integer, _
    ByRef PT As Complex, _
    ByRef LDPT As Integer, _
    ByRef C As Complex, _
    ByRef LDC As Integer, _
    ByRef WORK As Complex, _
    ByRef RWORK As Double, _
    ByRef INFO As Integer _
   )


   Declare Sub DBDSDC Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByVal COMPQ As string, ByVal COMPQLength As Integer, _
    ByRef N As Integer, _
    ByRef D As Double, _
    ByRef E As Double, _
    ByRef U As Double, _
    ByRef LDU As Integer, _
    ByRef VT As Double, _
    ByRef LDVT As Integer, _
    ByRef Q As Double, _
    ByRef IQ As Integer, _
    ByRef WORK As Double, _
    ByRef IWORK As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F08MDF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByVal COMPQ As string, ByVal COMPQLength As Integer, _
    ByRef N As Integer, _
    ByRef D As Double, _
    ByRef E As Double, _
    ByRef U As Double, _
    ByRef LDU As Integer, _
    ByRef VT As Double, _
    ByRef LDVT As Integer, _
    ByRef Q As Double, _
    ByRef IQ As Integer, _
    ByRef WORK As Double, _
    ByRef IWORK As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub DBDSQR Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef NCVT As Integer, _
    ByRef NRU As Integer, _
    ByRef NCC As Integer, _
    ByRef D As Double, _
    ByRef E As Double, _
    ByRef VT As Double, _
    ByRef LDVT As Integer, _
    ByRef U As Double, _
    ByRef LDU As Integer, _
    ByRef C As Double, _
    ByRef LDC As Integer, _
    ByRef WORK As Double, _
    ByRef INFO As Integer _
   )

   Declare Sub F08MEF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef NCVT As Integer, _
    ByRef NRU As Integer, _
    ByRef NCC As Integer, _
    ByRef D As Double, _
    ByRef E As Double, _
    ByRef VT As Double, _
    ByRef LDVT As Integer, _
    ByRef U As Double, _
    ByRef LDU As Integer, _
    ByRef C As Double, _
    ByRef LDC As Integer, _
    ByRef WORK As Double, _
    ByRef INFO As Integer _
   )


   Declare Sub ZBDSQR Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef NCVT As Integer, _
    ByRef NRU As Integer, _
    ByRef NCC As Integer, _
    ByRef D As Double, _
    ByRef E As Double, _
    ByRef VT As Complex, _
    ByRef LDVT As Integer, _
    ByRef U As Complex, _
    ByRef LDU As Integer, _
    ByRef C As Complex, _
    ByRef LDC As Integer, _
    ByRef WORK As Double, _
    ByRef INFO As Integer _
   )

   Declare Sub F08MSF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef NCVT As Integer, _
    ByRef NRU As Integer, _
    ByRef NCC As Integer, _
    ByRef D As Double, _
    ByRef E As Double, _
    ByRef VT As Complex, _
    ByRef LDVT As Integer, _
    ByRef U As Complex, _
    ByRef LDU As Integer, _
    ByRef C As Complex, _
    ByRef LDC As Integer, _
    ByRef WORK As Double, _
    ByRef INFO As Integer _
   )


   Declare Sub DGEEV Lib "FLDLL224M_nag.dll" ( _
    ByVal JOBVL As string, ByVal JOBVLLength As Integer, _
    ByVal JOBVR As string, ByVal JOBVRLength As Integer, _
    ByRef N As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef WR As Double, _
    ByRef WI As Double, _
    ByRef VL As Double, _
    ByRef LDVL As Integer, _
    ByRef VR As Double, _
    ByRef LDVR As Integer, _
    ByRef WORK As Double, _
    ByRef LWORK As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F08NAF Lib "FLDLL224M_nag.dll" ( _
    ByVal JOBVL As string, ByVal JOBVLLength As Integer, _
    ByVal JOBVR As string, ByVal JOBVRLength As Integer, _
    ByRef N As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef WR As Double, _
    ByRef WI As Double, _
    ByRef VL As Double, _
    ByRef LDVL As Integer, _
    ByRef VR As Double, _
    ByRef LDVR As Integer, _
    ByRef WORK As Double, _
    ByRef LWORK As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub DGEEVX Lib "FLDLL224M_nag.dll" ( _
    ByVal BALANC As string, ByVal BALANCLength As Integer, ByVal JOBVL As string, ByVal JOBVLLength As Integer, ByVal JOBVR As string, ByVal JOBVRLength As Integer, _
    ByVal SENSE As string, ByVal SENSELength As Integer, ByRef N As Integer, ByRef A As Double, _
    ByRef LDA As Integer, ByRef WR As Double, ByRef WI As Double, _
    ByRef VL As Double, ByRef LDVL As Integer, ByRef VR As Double, _
    ByRef LDVR As Integer, ByRef ILO As Integer, ByRef IHI As Integer, _
    ByRef SCAL As Double, ByRef ABNRM As Double, ByRef RCONDE As Double, _
    ByRef RCONDV As Double, ByRef WORK As Double, ByRef LWORK As Integer, _
    ByRef IWORK As Integer, ByRef INFO As Integer _
   )

   Declare Sub F08NBF Lib "FLDLL224M_nag.dll" ( _
    ByVal BALANC As string, ByVal BALANCLength As Integer, ByVal JOBVL As string, ByVal JOBVLLength As Integer, ByVal JOBVR As string, ByVal JOBVRLength As Integer, _
    ByVal SENSE As string, ByVal SENSELength As Integer, ByRef N As Integer, ByRef A As Double, _
    ByRef LDA As Integer, ByRef WR As Double, ByRef WI As Double, _
    ByRef VL As Double, ByRef LDVL As Integer, ByRef VR As Double, _
    ByRef LDVR As Integer, ByRef ILO As Integer, ByRef IHI As Integer, _
    ByRef SCAL As Double, ByRef ABNRM As Double, ByRef RCONDE As Double, _
    ByRef RCONDV As Double, ByRef WORK As Double, ByRef LWORK As Integer, _
    ByRef IWORK As Integer, ByRef INFO As Integer _
   )


   Declare Sub DGEHRD Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef ILO As Integer, _
    ByRef IHI As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef TAU As Double, _
    ByRef WORK As Double, _
    ByRef LWORK As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F08NEF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef ILO As Integer, _
    ByRef IHI As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef TAU As Double, _
    ByRef WORK As Double, _
    ByRef LWORK As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub DORGHR Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef ILO As Integer, _
    ByRef IHI As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef TAU As Double, _
    ByRef WORK As Double, _
    ByRef LWORK As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F08NFF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef ILO As Integer, _
    ByRef IHI As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef TAU As Double, _
    ByRef WORK As Double, _
    ByRef LWORK As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub DORMHR Lib "FLDLL224M_nag.dll" ( _
    ByVal SIDE As string, ByVal SIDELength As Integer, _
    ByVal TRANS As string, ByVal TRANSLength As Integer, _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef ILO As Integer, _
    ByRef IHI As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef TAU As Double, _
    ByRef C As Double, _
    ByRef LDC As Integer, _
    ByRef WORK As Double, _
    ByRef LWORK As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F08NGF Lib "FLDLL224M_nag.dll" ( _
    ByVal SIDE As string, ByVal SIDELength As Integer, _
    ByVal TRANS As string, ByVal TRANSLength As Integer, _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef ILO As Integer, _
    ByRef IHI As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef TAU As Double, _
    ByRef C As Double, _
    ByRef LDC As Integer, _
    ByRef WORK As Double, _
    ByRef LWORK As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub DGEBAL Lib "FLDLL224M_nag.dll" ( _
    ByVal JOB As string, ByVal JOBLength As Integer, _
    ByRef N As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef ILO As Integer, _
    ByRef IHI As Integer, _
    ByRef SCAL As Double, _
    ByRef INFO As Integer _
   )

   Declare Sub F08NHF Lib "FLDLL224M_nag.dll" ( _
    ByVal JOB As string, ByVal JOBLength As Integer, _
    ByRef N As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef ILO As Integer, _
    ByRef IHI As Integer, _
    ByRef SCAL As Double, _
    ByRef INFO As Integer _
   )


   Declare Sub DGEBAK Lib "FLDLL224M_nag.dll" ( _
    ByVal JOB As string, ByVal JOBLength As Integer, _
    ByVal SIDE As string, ByVal SIDELength As Integer, _
    ByRef N As Integer, _
    ByRef ILO As Integer, _
    ByRef IHI As Integer, _
    ByRef SCAL As Double, _
    ByRef M As Integer, _
    ByRef V As Double, _
    ByRef LDV As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F08NJF Lib "FLDLL224M_nag.dll" ( _
    ByVal JOB As string, ByVal JOBLength As Integer, _
    ByVal SIDE As string, ByVal SIDELength As Integer, _
    ByRef N As Integer, _
    ByRef ILO As Integer, _
    ByRef IHI As Integer, _
    ByRef SCAL As Double, _
    ByRef M As Integer, _
    ByRef V As Double, _
    ByRef LDV As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub ZGEEV Lib "FLDLL224M_nag.dll" ( _
    ByVal JOBVL As string, ByVal JOBVLLength As Integer, _
    ByVal JOBVR As string, ByVal JOBVRLength As Integer, _
    ByRef N As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef W As Complex, _
    ByRef VL As Complex, _
    ByRef LDVL As Integer, _
    ByRef VR As Complex, _
    ByRef LDVR As Integer, _
    ByRef WORK As Complex, _
    ByRef LWORK As Integer, _
    ByRef RWORK As Double, _
    ByRef INFO As Integer _
   )

   Declare Sub F08NNF Lib "FLDLL224M_nag.dll" ( _
    ByVal JOBVL As string, ByVal JOBVLLength As Integer, _
    ByVal JOBVR As string, ByVal JOBVRLength As Integer, _
    ByRef N As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef W As Complex, _
    ByRef VL As Complex, _
    ByRef LDVL As Integer, _
    ByRef VR As Complex, _
    ByRef LDVR As Integer, _
    ByRef WORK As Complex, _
    ByRef LWORK As Integer, _
    ByRef RWORK As Double, _
    ByRef INFO As Integer _
   )


   Declare Sub ZGEEVX Lib "FLDLL224M_nag.dll" ( _
    ByVal BALANC As string, ByVal BALANCLength As Integer, ByVal JOBVL As string, ByVal JOBVLLength As Integer, ByVal JOBVR As string, ByVal JOBVRLength As Integer, _
    ByVal SENSE As string, ByVal SENSELength As Integer, ByRef N As Integer, ByRef A As Complex, _
    ByRef LDA As Integer, ByRef W As Complex, ByRef VL As Complex, _
    ByRef LDVL As Integer, ByRef VR As Complex, ByRef LDVR As Integer, _
    ByRef ILO As Integer, ByRef IHI As Integer, ByRef SCAL As Double, _
    ByRef ABNRM As Double, ByRef RCONDE As Double, ByRef RCONDV As Double, _
    ByRef WORK As Complex, ByRef LWORK As Integer, ByRef RWORK As Double, _
    ByRef INFO As Integer _
   )

   Declare Sub F08NPF Lib "FLDLL224M_nag.dll" ( _
    ByVal BALANC As string, ByVal BALANCLength As Integer, ByVal JOBVL As string, ByVal JOBVLLength As Integer, ByVal JOBVR As string, ByVal JOBVRLength As Integer, _
    ByVal SENSE As string, ByVal SENSELength As Integer, ByRef N As Integer, ByRef A As Complex, _
    ByRef LDA As Integer, ByRef W As Complex, ByRef VL As Complex, _
    ByRef LDVL As Integer, ByRef VR As Complex, ByRef LDVR As Integer, _
    ByRef ILO As Integer, ByRef IHI As Integer, ByRef SCAL As Double, _
    ByRef ABNRM As Double, ByRef RCONDE As Double, ByRef RCONDV As Double, _
    ByRef WORK As Complex, ByRef LWORK As Integer, ByRef RWORK As Double, _
    ByRef INFO As Integer _
   )


   Declare Sub ZGEHRD Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef ILO As Integer, _
    ByRef IHI As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef TAU As Complex, _
    ByRef WORK As Complex, _
    ByRef LWORK As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F08NSF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef ILO As Integer, _
    ByRef IHI As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef TAU As Complex, _
    ByRef WORK As Complex, _
    ByRef LWORK As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub ZUNGHR Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef ILO As Integer, _
    ByRef IHI As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef TAU As Complex, _
    ByRef WORK As Complex, _
    ByRef LWORK As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F08NTF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef ILO As Integer, _
    ByRef IHI As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef TAU As Complex, _
    ByRef WORK As Complex, _
    ByRef LWORK As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub ZUNMHR Lib "FLDLL224M_nag.dll" ( _
    ByVal SIDE As string, ByVal SIDELength As Integer, _
    ByVal TRANS As string, ByVal TRANSLength As Integer, _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef ILO As Integer, _
    ByRef IHI As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef TAU As Complex, _
    ByRef C As Complex, _
    ByRef LDC As Integer, _
    ByRef WORK As Complex, _
    ByRef LWORK As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F08NUF Lib "FLDLL224M_nag.dll" ( _
    ByVal SIDE As string, ByVal SIDELength As Integer, _
    ByVal TRANS As string, ByVal TRANSLength As Integer, _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef ILO As Integer, _
    ByRef IHI As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef TAU As Complex, _
    ByRef C As Complex, _
    ByRef LDC As Integer, _
    ByRef WORK As Complex, _
    ByRef LWORK As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub ZGEBAL Lib "FLDLL224M_nag.dll" ( _
    ByVal JOB As string, ByVal JOBLength As Integer, _
    ByRef N As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef ILO As Integer, _
    ByRef IHI As Integer, _
    ByRef SCAL As Double, _
    ByRef INFO As Integer _
   )

   Declare Sub F08NVF Lib "FLDLL224M_nag.dll" ( _
    ByVal JOB As string, ByVal JOBLength As Integer, _
    ByRef N As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef ILO As Integer, _
    ByRef IHI As Integer, _
    ByRef SCAL As Double, _
    ByRef INFO As Integer _
   )


   Declare Sub ZGEBAK Lib "FLDLL224M_nag.dll" ( _
    ByVal JOB As string, ByVal JOBLength As Integer, _
    ByVal SIDE As string, ByVal SIDELength As Integer, _
    ByRef N As Integer, _
    ByRef ILO As Integer, _
    ByRef IHI As Integer, _
    ByRef SCAL As Double, _
    ByRef M As Integer, _
    ByRef V As Complex, _
    ByRef LDV As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F08NWF Lib "FLDLL224M_nag.dll" ( _
    ByVal JOB As string, ByVal JOBLength As Integer, _
    ByVal SIDE As string, ByVal SIDELength As Integer, _
    ByRef N As Integer, _
    ByRef ILO As Integer, _
    ByRef IHI As Integer, _
    ByRef SCAL As Double, _
    ByRef M As Integer, _
    ByRef V As Complex, _
    ByRef LDV As Integer, _
    ByRef INFO As Integer _
   )


  Delegate Function DGEES_SEL_DELEGATE( _
    ByRef WR As Double, _
    ByRef WI As Double _
  ) as Integer

   Declare Function F08PAZ Lib "FLDLL224M_nag.dll" ( _
    ByRef WR As Double, _
    ByRef WI As Double _
  ) as Integer

   Declare Sub DGEES Lib "FLDLL224M_nag.dll" ( _
    ByVal JOBVS As string, ByVal JOBVSLength As Integer, _
    ByVal SORT As string, ByVal SORTLength As Integer, _
    ByVal SEL As F08PAF_SEL_DELEGATE, _
    ByRef N As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef SDIM As Integer, _
    ByRef WR As Double, _
    ByRef WI As Double, _
    ByRef VS As Double, _
    ByRef LDVS As Integer, _
    ByRef WORK As Double, _
    ByRef LWORK As Integer, _
    ByRef BWORK As Integer, _
    ByRef INFO As Integer _
   )

  Delegate Function F08PAF_SEL_DELEGATE( _
    ByRef WR As Double, _
    ByRef WI As Double _
  ) as Integer


   Declare Sub F08PAF Lib "FLDLL224M_nag.dll" ( _
    ByVal JOBVS As string, ByVal JOBVSLength As Integer, _
    ByVal SORT As string, ByVal SORTLength As Integer, _
    ByVal SEL As F08PAF_SEL_DELEGATE, _
    ByRef N As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef SDIM As Integer, _
    ByRef WR As Double, _
    ByRef WI As Double, _
    ByRef VS As Double, _
    ByRef LDVS As Integer, _
    ByRef WORK As Double, _
    ByRef LWORK As Integer, _
    ByRef BWORK As Integer, _
    ByRef INFO As Integer _
   )


  Delegate Function DGEESX_SEL_DELEGATE( _
    ByRef WR As Double, _
    ByRef WI As Double _
  ) as Integer


   Declare Sub DGEESX Lib "FLDLL224M_nag.dll" ( _
    ByVal JOBVS As string, ByVal JOBVSLength As Integer, ByVal SORT As string, ByVal SORTLength As Integer, ByVal SEL As F08PBF_SEL_DELEGATE, _
    ByVal SENSE As string, ByVal SENSELength As Integer, ByRef N As Integer, ByRef A As Double, _
    ByRef LDA As Integer, ByRef SDIM As Integer, ByRef WR As Double, _
    ByRef WI As Double, ByRef VS As Double, ByRef LDVS As Integer, _
    ByRef RCONDE As Double, ByRef RCONDV As Double, ByRef WORK As Double, _
    ByRef LWORK As Integer, ByRef IWORK As Integer, ByRef LIWORK As Integer, _
    ByRef BWORK As Integer, ByRef INFO As Integer _
   )

  Delegate Function F08PBF_SEL_DELEGATE( _
    ByRef WR As Double, _
    ByRef WI As Double _
  ) as Integer


   Declare Sub F08PBF Lib "FLDLL224M_nag.dll" ( _
    ByVal JOBVS As string, ByVal JOBVSLength As Integer, ByVal SORT As string, ByVal SORTLength As Integer, ByVal SEL As F08PBF_SEL_DELEGATE, _
    ByVal SENSE As string, ByVal SENSELength As Integer, ByRef N As Integer, ByRef A As Double, _
    ByRef LDA As Integer, ByRef SDIM As Integer, ByRef WR As Double, _
    ByRef WI As Double, ByRef VS As Double, ByRef LDVS As Integer, _
    ByRef RCONDE As Double, ByRef RCONDV As Double, ByRef WORK As Double, _
    ByRef LWORK As Integer, ByRef IWORK As Integer, ByRef LIWORK As Integer, _
    ByRef BWORK As Integer, ByRef INFO As Integer _
   )


   Declare Sub DHSEQR Lib "FLDLL224M_nag.dll" ( _
    ByVal JOB As string, ByVal JOBLength As Integer, _
    ByVal COMPZ As string, ByVal COMPZLength As Integer, _
    ByRef N As Integer, _
    ByRef ILO As Integer, _
    ByRef IHI As Integer, _
    ByRef H As Double, _
    ByRef LDH As Integer, _
    ByRef WR As Double, _
    ByRef WI As Double, _
    ByRef Z As Double, _
    ByRef LDZ As Integer, _
    ByRef WORK As Double, _
    ByRef LWORK As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F08PEF Lib "FLDLL224M_nag.dll" ( _
    ByVal JOB As string, ByVal JOBLength As Integer, _
    ByVal COMPZ As string, ByVal COMPZLength As Integer, _
    ByRef N As Integer, _
    ByRef ILO As Integer, _
    ByRef IHI As Integer, _
    ByRef H As Double, _
    ByRef LDH As Integer, _
    ByRef WR As Double, _
    ByRef WI As Double, _
    ByRef Z As Double, _
    ByRef LDZ As Integer, _
    ByRef WORK As Double, _
    ByRef LWORK As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub DHSEIN Lib "FLDLL224M_nag.dll" ( _
    ByVal JOB As string, ByVal JOBLength As Integer, _
    ByVal EIGSRC As string, ByVal EIGSRCLength As Integer, _
    ByVal INITV As string, ByVal INITVLength As Integer, _
    ByRef SEL As Integer, _
    ByRef N As Integer, _
    ByRef H As Double, _
    ByRef LDH As Integer, _
    ByRef WR As Double, _
    ByRef WI As Double, _
    ByRef VL As Double, _
    ByRef LDVL As Integer, _
    ByRef VR As Double, _
    ByRef LDVR As Integer, _
    ByRef MM As Integer, _
    ByRef M As Integer, _
    ByRef WORK As Double, _
    ByRef IFAILL As Integer, _
    ByRef IFAILR As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F08PKF Lib "FLDLL224M_nag.dll" ( _
    ByVal JOB As string, ByVal JOBLength As Integer, _
    ByVal EIGSRC As string, ByVal EIGSRCLength As Integer, _
    ByVal INITV As string, ByVal INITVLength As Integer, _
    ByRef SEL As Integer, _
    ByRef N As Integer, _
    ByRef H As Double, _
    ByRef LDH As Integer, _
    ByRef WR As Double, _
    ByRef WI As Double, _
    ByRef VL As Double, _
    ByRef LDVL As Integer, _
    ByRef VR As Double, _
    ByRef LDVR As Integer, _
    ByRef MM As Integer, _
    ByRef M As Integer, _
    ByRef WORK As Double, _
    ByRef IFAILL As Integer, _
    ByRef IFAILR As Integer, _
    ByRef INFO As Integer _
   )


  Delegate Function ZGEES_SEL_DELEGATE( _
    ByRef W As Complex _
  ) as Integer

   Declare Function F08PNZ Lib "FLDLL224M_nag.dll" ( _
    ByRef W As Complex _
  ) as Integer

   Declare Sub ZGEES Lib "FLDLL224M_nag.dll" ( _
    ByVal JOBVS As string, ByVal JOBVSLength As Integer, _
    ByVal SORT As string, ByVal SORTLength As Integer, _
    ByVal SEL As F08PNF_SEL_DELEGATE, _
    ByRef N As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef SDIM As Integer, _
    ByRef W As Complex, _
    ByRef VS As Complex, _
    ByRef LDVS As Integer, _
    ByRef WORK As Complex, _
    ByRef LWORK As Integer, _
    ByRef RWORK As Double, _
    ByRef BWORK As Integer, _
    ByRef INFO As Integer _
   )

  Delegate Function F08PNF_SEL_DELEGATE( _
    ByRef W As Complex _
  ) as Integer


   Declare Sub F08PNF Lib "FLDLL224M_nag.dll" ( _
    ByVal JOBVS As string, ByVal JOBVSLength As Integer, _
    ByVal SORT As string, ByVal SORTLength As Integer, _
    ByVal SEL As F08PNF_SEL_DELEGATE, _
    ByRef N As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef SDIM As Integer, _
    ByRef W As Complex, _
    ByRef VS As Complex, _
    ByRef LDVS As Integer, _
    ByRef WORK As Complex, _
    ByRef LWORK As Integer, _
    ByRef RWORK As Double, _
    ByRef BWORK As Integer, _
    ByRef INFO As Integer _
   )


  Delegate Function ZGEESX_SEL_DELEGATE( _
    ByRef W As Complex _
  ) as Integer


   Declare Sub ZGEESX Lib "FLDLL224M_nag.dll" ( _
    ByVal JOBVS As string, ByVal JOBVSLength As Integer, _
    ByVal SORT As string, ByVal SORTLength As Integer, _
    ByVal SEL As F08PPF_SEL_DELEGATE, _
    ByVal SENSE As string, ByVal SENSELength As Integer, _
    ByRef N As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef SDIM As Integer, _
    ByRef W As Complex, _
    ByRef VS As Complex, _
    ByRef LDVS As Integer, _
    ByRef RCONDE As Double, _
    ByRef RCONDV As Double, _
    ByRef WORK As Complex, _
    ByRef LWORK As Integer, _
    ByRef RWORK As Double, _
    ByRef BWORK As Integer, _
    ByRef INFO As Integer _
   )

  Delegate Function F08PPF_SEL_DELEGATE( _
    ByRef W As Complex _
  ) as Integer


   Declare Sub F08PPF Lib "FLDLL224M_nag.dll" ( _
    ByVal JOBVS As string, ByVal JOBVSLength As Integer, _
    ByVal SORT As string, ByVal SORTLength As Integer, _
    ByVal SEL As F08PPF_SEL_DELEGATE, _
    ByVal SENSE As string, ByVal SENSELength As Integer, _
    ByRef N As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef SDIM As Integer, _
    ByRef W As Complex, _
    ByRef VS As Complex, _
    ByRef LDVS As Integer, _
    ByRef RCONDE As Double, _
    ByRef RCONDV As Double, _
    ByRef WORK As Complex, _
    ByRef LWORK As Integer, _
    ByRef RWORK As Double, _
    ByRef BWORK As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub ZHSEQR Lib "FLDLL224M_nag.dll" ( _
    ByVal JOB As string, ByVal JOBLength As Integer, _
    ByVal COMPZ As string, ByVal COMPZLength As Integer, _
    ByRef N As Integer, _
    ByRef ILO As Integer, _
    ByRef IHI As Integer, _
    ByRef H As Complex, _
    ByRef LDH As Integer, _
    ByRef W As Complex, _
    ByRef Z As Complex, _
    ByRef LDZ As Integer, _
    ByRef WORK As Complex, _
    ByRef LWORK As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F08PSF Lib "FLDLL224M_nag.dll" ( _
    ByVal JOB As string, ByVal JOBLength As Integer, _
    ByVal COMPZ As string, ByVal COMPZLength As Integer, _
    ByRef N As Integer, _
    ByRef ILO As Integer, _
    ByRef IHI As Integer, _
    ByRef H As Complex, _
    ByRef LDH As Integer, _
    ByRef W As Complex, _
    ByRef Z As Complex, _
    ByRef LDZ As Integer, _
    ByRef WORK As Complex, _
    ByRef LWORK As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub ZHSEIN Lib "FLDLL224M_nag.dll" ( _
    ByVal JOB As string, ByVal JOBLength As Integer, _
    ByVal EIGSRC As string, ByVal EIGSRCLength As Integer, _
    ByVal INITV As string, ByVal INITVLength As Integer, _
    ByRef SEL As Integer, _
    ByRef N As Integer, _
    ByRef H As Complex, _
    ByRef LDH As Integer, _
    ByRef W As Complex, _
    ByRef VL As Complex, _
    ByRef LDVL As Integer, _
    ByRef VR As Complex, _
    ByRef LDVR As Integer, _
    ByRef MM As Integer, _
    ByRef M As Integer, _
    ByRef WORK As Complex, _
    ByRef RWORK As Double, _
    ByRef IFAILL As Integer, _
    ByRef IFAILR As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F08PXF Lib "FLDLL224M_nag.dll" ( _
    ByVal JOB As string, ByVal JOBLength As Integer, _
    ByVal EIGSRC As string, ByVal EIGSRCLength As Integer, _
    ByVal INITV As string, ByVal INITVLength As Integer, _
    ByRef SEL As Integer, _
    ByRef N As Integer, _
    ByRef H As Complex, _
    ByRef LDH As Integer, _
    ByRef W As Complex, _
    ByRef VL As Complex, _
    ByRef LDVL As Integer, _
    ByRef VR As Complex, _
    ByRef LDVR As Integer, _
    ByRef MM As Integer, _
    ByRef M As Integer, _
    ByRef WORK As Complex, _
    ByRef RWORK As Double, _
    ByRef IFAILL As Integer, _
    ByRef IFAILR As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub DTREXC Lib "FLDLL224M_nag.dll" ( _
    ByVal COMPQ As string, ByVal COMPQLength As Integer, _
    ByRef N As Integer, _
    ByRef T As Double, _
    ByRef LDT As Integer, _
    ByRef Q As Double, _
    ByRef LDQ As Integer, _
    ByRef IFST As Integer, _
    ByRef ILST As Integer, _
    ByRef WORK As Double, _
    ByRef INFO As Integer _
   )

   Declare Sub F08QFF Lib "FLDLL224M_nag.dll" ( _
    ByVal COMPQ As string, ByVal COMPQLength As Integer, _
    ByRef N As Integer, _
    ByRef T As Double, _
    ByRef LDT As Integer, _
    ByRef Q As Double, _
    ByRef LDQ As Integer, _
    ByRef IFST As Integer, _
    ByRef ILST As Integer, _
    ByRef WORK As Double, _
    ByRef INFO As Integer _
   )


   Declare Sub DTRSEN Lib "FLDLL224M_nag.dll" ( _
    ByVal JOB As string, ByVal JOBLength As Integer, _
    ByVal COMPQ As string, ByVal COMPQLength As Integer, _
    ByRef SEL As Integer, _
    ByRef N As Integer, _
    ByRef T As Double, _
    ByRef LDT As Integer, _
    ByRef Q As Double, _
    ByRef LDQ As Integer, _
    ByRef WR As Double, _
    ByRef WI As Double, _
    ByRef M As Integer, _
    ByRef S As Double, _
    ByRef SEP As Double, _
    ByRef WORK As Double, _
    ByRef LWORK As Integer, _
    ByRef IWORK As Integer, _
    ByRef LIWORK As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F08QGF Lib "FLDLL224M_nag.dll" ( _
    ByVal JOB As string, ByVal JOBLength As Integer, _
    ByVal COMPQ As string, ByVal COMPQLength As Integer, _
    ByRef SEL As Integer, _
    ByRef N As Integer, _
    ByRef T As Double, _
    ByRef LDT As Integer, _
    ByRef Q As Double, _
    ByRef LDQ As Integer, _
    ByRef WR As Double, _
    ByRef WI As Double, _
    ByRef M As Integer, _
    ByRef S As Double, _
    ByRef SEP As Double, _
    ByRef WORK As Double, _
    ByRef LWORK As Integer, _
    ByRef IWORK As Integer, _
    ByRef LIWORK As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub DTRSYL Lib "FLDLL224M_nag.dll" ( _
    ByVal TRANA As string, ByVal TRANALength As Integer, _
    ByVal TRANB As string, ByVal TRANBLength As Integer, _
    ByRef ISGN As Integer, _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef B As Double, _
    ByRef LDB As Integer, _
    ByRef C As Double, _
    ByRef LDC As Integer, _
    ByRef SCAL As Double, _
    ByRef INFO As Integer _
   )

   Declare Sub F08QHF Lib "FLDLL224M_nag.dll" ( _
    ByVal TRANA As string, ByVal TRANALength As Integer, _
    ByVal TRANB As string, ByVal TRANBLength As Integer, _
    ByRef ISGN As Integer, _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef B As Double, _
    ByRef LDB As Integer, _
    ByRef C As Double, _
    ByRef LDC As Integer, _
    ByRef SCAL As Double, _
    ByRef INFO As Integer _
   )


   Declare Sub DTREVC Lib "FLDLL224M_nag.dll" ( _
    ByVal JOB As string, ByVal JOBLength As Integer, _
    ByVal HOWMNY As string, ByVal HOWMNYLength As Integer, _
    ByRef SEL As Integer, _
    ByRef N As Integer, _
    ByRef T As Double, _
    ByRef LDT As Integer, _
    ByRef VL As Double, _
    ByRef LDVL As Integer, _
    ByRef VR As Double, _
    ByRef LDVR As Integer, _
    ByRef MM As Integer, _
    ByRef M As Integer, _
    ByRef WORK As Double, _
    ByRef INFO As Integer _
   )

   Declare Sub F08QKF Lib "FLDLL224M_nag.dll" ( _
    ByVal JOB As string, ByVal JOBLength As Integer, _
    ByVal HOWMNY As string, ByVal HOWMNYLength As Integer, _
    ByRef SEL As Integer, _
    ByRef N As Integer, _
    ByRef T As Double, _
    ByRef LDT As Integer, _
    ByRef VL As Double, _
    ByRef LDVL As Integer, _
    ByRef VR As Double, _
    ByRef LDVR As Integer, _
    ByRef MM As Integer, _
    ByRef M As Integer, _
    ByRef WORK As Double, _
    ByRef INFO As Integer _
   )


   Declare Sub DTRSNA Lib "FLDLL224M_nag.dll" ( _
    ByVal JOB As string, ByVal JOBLength As Integer, _
    ByVal HOWMNY As string, ByVal HOWMNYLength As Integer, _
    ByRef SEL As Integer, _
    ByRef N As Integer, _
    ByRef T As Double, _
    ByRef LDT As Integer, _
    ByRef VL As Double, _
    ByRef LDVL As Integer, _
    ByRef VR As Double, _
    ByRef LDVR As Integer, _
    ByRef S As Double, _
    ByRef SEP As Double, _
    ByRef MM As Integer, _
    ByRef M As Integer, _
    ByRef WORK As Double, _
    ByRef LDWORK As Integer, _
    ByRef IWORK As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F08QLF Lib "FLDLL224M_nag.dll" ( _
    ByVal JOB As string, ByVal JOBLength As Integer, _
    ByVal HOWMNY As string, ByVal HOWMNYLength As Integer, _
    ByRef SEL As Integer, _
    ByRef N As Integer, _
    ByRef T As Double, _
    ByRef LDT As Integer, _
    ByRef VL As Double, _
    ByRef LDVL As Integer, _
    ByRef VR As Double, _
    ByRef LDVR As Integer, _
    ByRef S As Double, _
    ByRef SEP As Double, _
    ByRef MM As Integer, _
    ByRef M As Integer, _
    ByRef WORK As Double, _
    ByRef LDWORK As Integer, _
    ByRef IWORK As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub ZTREXC Lib "FLDLL224M_nag.dll" ( _
    ByVal COMPQ As string, ByVal COMPQLength As Integer, _
    ByRef N As Integer, _
    ByRef T As Complex, _
    ByRef LDT As Integer, _
    ByRef Q As Complex, _
    ByRef LDQ As Integer, _
    ByRef IFST As Integer, _
    ByRef ILST As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F08QTF Lib "FLDLL224M_nag.dll" ( _
    ByVal COMPQ As string, ByVal COMPQLength As Integer, _
    ByRef N As Integer, _
    ByRef T As Complex, _
    ByRef LDT As Integer, _
    ByRef Q As Complex, _
    ByRef LDQ As Integer, _
    ByRef IFST As Integer, _
    ByRef ILST As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub ZTRSEN Lib "FLDLL224M_nag.dll" ( _
    ByVal JOB As string, ByVal JOBLength As Integer, _
    ByVal COMPQ As string, ByVal COMPQLength As Integer, _
    ByRef SEL As Integer, _
    ByRef N As Integer, _
    ByRef T As Complex, _
    ByRef LDT As Integer, _
    ByRef Q As Complex, _
    ByRef LDQ As Integer, _
    ByRef W As Complex, _
    ByRef M As Integer, _
    ByRef S As Double, _
    ByRef SEP As Double, _
    ByRef WORK As Complex, _
    ByRef LWORK As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F08QUF Lib "FLDLL224M_nag.dll" ( _
    ByVal JOB As string, ByVal JOBLength As Integer, _
    ByVal COMPQ As string, ByVal COMPQLength As Integer, _
    ByRef SEL As Integer, _
    ByRef N As Integer, _
    ByRef T As Complex, _
    ByRef LDT As Integer, _
    ByRef Q As Complex, _
    ByRef LDQ As Integer, _
    ByRef W As Complex, _
    ByRef M As Integer, _
    ByRef S As Double, _
    ByRef SEP As Double, _
    ByRef WORK As Complex, _
    ByRef LWORK As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub ZTRSYL Lib "FLDLL224M_nag.dll" ( _
    ByVal TRANA As string, ByVal TRANALength As Integer, _
    ByVal TRANB As string, ByVal TRANBLength As Integer, _
    ByRef ISGN As Integer, _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef B As Complex, _
    ByRef LDB As Integer, _
    ByRef C As Complex, _
    ByRef LDC As Integer, _
    ByRef SCAL As Double, _
    ByRef INFO As Integer _
   )

   Declare Sub F08QVF Lib "FLDLL224M_nag.dll" ( _
    ByVal TRANA As string, ByVal TRANALength As Integer, _
    ByVal TRANB As string, ByVal TRANBLength As Integer, _
    ByRef ISGN As Integer, _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef B As Complex, _
    ByRef LDB As Integer, _
    ByRef C As Complex, _
    ByRef LDC As Integer, _
    ByRef SCAL As Double, _
    ByRef INFO As Integer _
   )


   Declare Sub ZTREVC Lib "FLDLL224M_nag.dll" ( _
    ByVal JOB As string, ByVal JOBLength As Integer, _
    ByVal HOWMNY As string, ByVal HOWMNYLength As Integer, _
    ByRef SEL As Integer, _
    ByRef N As Integer, _
    ByRef T As Complex, _
    ByRef LDT As Integer, _
    ByRef VL As Complex, _
    ByRef LDVL As Integer, _
    ByRef VR As Complex, _
    ByRef LDVR As Integer, _
    ByRef MM As Integer, _
    ByRef M As Integer, _
    ByRef WORK As Complex, _
    ByRef RWORK As Double, _
    ByRef INFO As Integer _
   )

   Declare Sub F08QXF Lib "FLDLL224M_nag.dll" ( _
    ByVal JOB As string, ByVal JOBLength As Integer, _
    ByVal HOWMNY As string, ByVal HOWMNYLength As Integer, _
    ByRef SEL As Integer, _
    ByRef N As Integer, _
    ByRef T As Complex, _
    ByRef LDT As Integer, _
    ByRef VL As Complex, _
    ByRef LDVL As Integer, _
    ByRef VR As Complex, _
    ByRef LDVR As Integer, _
    ByRef MM As Integer, _
    ByRef M As Integer, _
    ByRef WORK As Complex, _
    ByRef RWORK As Double, _
    ByRef INFO As Integer _
   )


   Declare Sub ZTRSNA Lib "FLDLL224M_nag.dll" ( _
    ByVal JOB As string, ByVal JOBLength As Integer, _
    ByVal HOWMNY As string, ByVal HOWMNYLength As Integer, _
    ByRef SEL As Integer, _
    ByRef N As Integer, _
    ByRef T As Complex, _
    ByRef LDT As Integer, _
    ByRef VL As Complex, _
    ByRef LDVL As Integer, _
    ByRef VR As Complex, _
    ByRef LDVR As Integer, _
    ByRef S As Double, _
    ByRef SEP As Double, _
    ByRef MM As Integer, _
    ByRef M As Integer, _
    ByRef WORK As Complex, _
    ByRef LDWORK As Integer, _
    ByRef RWORK As Double, _
    ByRef INFO As Integer _
   )

   Declare Sub F08QYF Lib "FLDLL224M_nag.dll" ( _
    ByVal JOB As string, ByVal JOBLength As Integer, _
    ByVal HOWMNY As string, ByVal HOWMNYLength As Integer, _
    ByRef SEL As Integer, _
    ByRef N As Integer, _
    ByRef T As Complex, _
    ByRef LDT As Integer, _
    ByRef VL As Complex, _
    ByRef LDVL As Integer, _
    ByRef VR As Complex, _
    ByRef LDVR As Integer, _
    ByRef S As Double, _
    ByRef SEP As Double, _
    ByRef MM As Integer, _
    ByRef M As Integer, _
    ByRef WORK As Complex, _
    ByRef LDWORK As Integer, _
    ByRef RWORK As Double, _
    ByRef INFO As Integer _
   )


   Declare Sub DSYGV Lib "FLDLL224M_nag.dll" ( _
    ByRef ITYPE As Integer, _
    ByVal JOBZ As string, ByVal JOBZLength As Integer, _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef B As Double, _
    ByRef LDB As Integer, _
    ByRef W As Double, _
    ByRef WORK As Double, _
    ByRef LWORK As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F08SAF Lib "FLDLL224M_nag.dll" ( _
    ByRef ITYPE As Integer, _
    ByVal JOBZ As string, ByVal JOBZLength As Integer, _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef B As Double, _
    ByRef LDB As Integer, _
    ByRef W As Double, _
    ByRef WORK As Double, _
    ByRef LWORK As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub DSYGVX Lib "FLDLL224M_nag.dll" ( _
    ByRef ITYPE As Integer, ByVal JOBZ As string, ByVal JOBZLength As Integer, ByVal RANGE As string, ByVal RANGELength As Integer, _
    ByVal UPLO As string, ByVal UPLOLength As Integer, ByRef N As Integer, ByRef A As Double, _
    ByRef LDA As Integer, ByRef B As Double, ByRef LDB As Integer, _
    ByRef VL As Double, ByRef VU As Double, ByRef IL As Integer, _
    ByRef IU As Integer, ByRef ABSTOL As Double, ByRef M As Integer, _
    ByRef W As Double, ByRef Z As Double, ByRef LDZ As Integer, _
    ByRef WORK As Double, ByRef LWORK As Integer, ByRef IWORK As Integer, _
    ByRef JFAIL As Integer, ByRef INFO As Integer _
   )

   Declare Sub F08SBF Lib "FLDLL224M_nag.dll" ( _
    ByRef ITYPE As Integer, ByVal JOBZ As string, ByVal JOBZLength As Integer, ByVal RANGE As string, ByVal RANGELength As Integer, _
    ByVal UPLO As string, ByVal UPLOLength As Integer, ByRef N As Integer, ByRef A As Double, _
    ByRef LDA As Integer, ByRef B As Double, ByRef LDB As Integer, _
    ByRef VL As Double, ByRef VU As Double, ByRef IL As Integer, _
    ByRef IU As Integer, ByRef ABSTOL As Double, ByRef M As Integer, _
    ByRef W As Double, ByRef Z As Double, ByRef LDZ As Integer, _
    ByRef WORK As Double, ByRef LWORK As Integer, ByRef IWORK As Integer, _
    ByRef JFAIL As Integer, ByRef INFO As Integer _
   )


   Declare Sub DSYGVD Lib "FLDLL224M_nag.dll" ( _
    ByRef ITYPE As Integer, _
    ByVal JOBZ As string, ByVal JOBZLength As Integer, _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef B As Double, _
    ByRef LDB As Integer, _
    ByRef W As Double, _
    ByRef WORK As Double, _
    ByRef LWORK As Integer, _
    ByRef IWORK As Integer, _
    ByRef LIWORK As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F08SCF Lib "FLDLL224M_nag.dll" ( _
    ByRef ITYPE As Integer, _
    ByVal JOBZ As string, ByVal JOBZLength As Integer, _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef B As Double, _
    ByRef LDB As Integer, _
    ByRef W As Double, _
    ByRef WORK As Double, _
    ByRef LWORK As Integer, _
    ByRef IWORK As Integer, _
    ByRef LIWORK As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub DSYGST Lib "FLDLL224M_nag.dll" ( _
    ByRef ITYPE As Integer, _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef B As Double, _
    ByRef LDB As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F08SEF Lib "FLDLL224M_nag.dll" ( _
    ByRef ITYPE As Integer, _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef B As Double, _
    ByRef LDB As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub ZHEGV Lib "FLDLL224M_nag.dll" ( _
    ByRef ITYPE As Integer, _
    ByVal JOBZ As string, ByVal JOBZLength As Integer, _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef B As Complex, _
    ByRef LDB As Integer, _
    ByRef W As Double, _
    ByRef WORK As Complex, _
    ByRef LWORK As Integer, _
    ByRef RWORK As Double, _
    ByRef INFO As Integer _
   )

   Declare Sub F08SNF Lib "FLDLL224M_nag.dll" ( _
    ByRef ITYPE As Integer, _
    ByVal JOBZ As string, ByVal JOBZLength As Integer, _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef B As Complex, _
    ByRef LDB As Integer, _
    ByRef W As Double, _
    ByRef WORK As Complex, _
    ByRef LWORK As Integer, _
    ByRef RWORK As Double, _
    ByRef INFO As Integer _
   )


   Declare Sub ZHEGVX Lib "FLDLL224M_nag.dll" ( _
    ByRef ITYPE As Integer, ByVal JOBZ As string, ByVal JOBZLength As Integer, ByVal RANGE As string, ByVal RANGELength As Integer, _
    ByVal UPLO As string, ByVal UPLOLength As Integer, ByRef N As Integer, ByRef A As Complex, _
    ByRef LDA As Integer, ByRef B As Complex, ByRef LDB As Integer, _
    ByRef VL As Double, ByRef VU As Double, ByRef IL As Integer, _
    ByRef IU As Integer, ByRef ABSTOL As Double, ByRef M As Integer, _
    ByRef W As Double, ByRef Z As Complex, ByRef LDZ As Integer, _
    ByRef WORK As Complex, ByRef LWORK As Integer, ByRef RWORK As Double, _
    ByRef IWORK As Integer, ByRef JFAIL As Integer, ByRef INFO As Integer _
   )

   Declare Sub F08SPF Lib "FLDLL224M_nag.dll" ( _
    ByRef ITYPE As Integer, ByVal JOBZ As string, ByVal JOBZLength As Integer, ByVal RANGE As string, ByVal RANGELength As Integer, _
    ByVal UPLO As string, ByVal UPLOLength As Integer, ByRef N As Integer, ByRef A As Complex, _
    ByRef LDA As Integer, ByRef B As Complex, ByRef LDB As Integer, _
    ByRef VL As Double, ByRef VU As Double, ByRef IL As Integer, _
    ByRef IU As Integer, ByRef ABSTOL As Double, ByRef M As Integer, _
    ByRef W As Double, ByRef Z As Complex, ByRef LDZ As Integer, _
    ByRef WORK As Complex, ByRef LWORK As Integer, ByRef RWORK As Double, _
    ByRef IWORK As Integer, ByRef JFAIL As Integer, ByRef INFO As Integer _
   )


   Declare Sub ZHEGVD Lib "FLDLL224M_nag.dll" ( _
    ByRef ITYPE As Integer, _
    ByVal JOBZ As string, ByVal JOBZLength As Integer, _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef B As Complex, _
    ByRef LDB As Integer, _
    ByRef W As Double, _
    ByRef WORK As Complex, _
    ByRef LWORK As Integer, _
    ByRef RWORK As Double, _
    ByRef LRWORK As Integer, _
    ByRef IWORK As Integer, _
    ByRef LIWORK As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F08SQF Lib "FLDLL224M_nag.dll" ( _
    ByRef ITYPE As Integer, _
    ByVal JOBZ As string, ByVal JOBZLength As Integer, _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef B As Complex, _
    ByRef LDB As Integer, _
    ByRef W As Double, _
    ByRef WORK As Complex, _
    ByRef LWORK As Integer, _
    ByRef RWORK As Double, _
    ByRef LRWORK As Integer, _
    ByRef IWORK As Integer, _
    ByRef LIWORK As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub ZHEGST Lib "FLDLL224M_nag.dll" ( _
    ByRef ITYPE As Integer, _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef B As Complex, _
    ByRef LDB As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F08SSF Lib "FLDLL224M_nag.dll" ( _
    ByRef ITYPE As Integer, _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef B As Complex, _
    ByRef LDB As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub DSPGV Lib "FLDLL224M_nag.dll" ( _
    ByRef ITYPE As Integer, _
    ByVal JOBZ As string, ByVal JOBZLength As Integer, _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef AP As Double, _
    ByRef BP As Double, _
    ByRef W As Double, _
    ByRef Z As Double, _
    ByRef LDZ As Integer, _
    ByRef WORK As Double, _
    ByRef INFO As Integer _
   )

   Declare Sub F08TAF Lib "FLDLL224M_nag.dll" ( _
    ByRef ITYPE As Integer, _
    ByVal JOBZ As string, ByVal JOBZLength As Integer, _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef AP As Double, _
    ByRef BP As Double, _
    ByRef W As Double, _
    ByRef Z As Double, _
    ByRef LDZ As Integer, _
    ByRef WORK As Double, _
    ByRef INFO As Integer _
   )


   Declare Sub DSPGVX Lib "FLDLL224M_nag.dll" ( _
    ByRef ITYPE As Integer, ByVal JOBZ As string, ByVal JOBZLength As Integer, ByVal RANGE As string, ByVal RANGELength As Integer, _
    ByVal UPLO As string, ByVal UPLOLength As Integer, ByRef N As Integer, ByRef AP As Double, _
    ByRef BP As Double, ByRef VL As Double, ByRef VU As Double, _
    ByRef IL As Integer, ByRef IU As Integer, ByRef ABSTOL As Double, _
    ByRef M As Integer, ByRef W As Double, ByRef Z As Double, _
    ByRef LDZ As Integer, ByRef WORK As Double, ByRef IWORK As Integer, _
    ByRef JFAIL As Integer, ByRef INFO As Integer _
   )

   Declare Sub F08TBF Lib "FLDLL224M_nag.dll" ( _
    ByRef ITYPE As Integer, ByVal JOBZ As string, ByVal JOBZLength As Integer, ByVal RANGE As string, ByVal RANGELength As Integer, _
    ByVal UPLO As string, ByVal UPLOLength As Integer, ByRef N As Integer, ByRef AP As Double, _
    ByRef BP As Double, ByRef VL As Double, ByRef VU As Double, _
    ByRef IL As Integer, ByRef IU As Integer, ByRef ABSTOL As Double, _
    ByRef M As Integer, ByRef W As Double, ByRef Z As Double, _
    ByRef LDZ As Integer, ByRef WORK As Double, ByRef IWORK As Integer, _
    ByRef JFAIL As Integer, ByRef INFO As Integer _
   )


   Declare Sub DSPGVD Lib "FLDLL224M_nag.dll" ( _
    ByRef ITYPE As Integer, _
    ByVal JOBZ As string, ByVal JOBZLength As Integer, _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef AP As Double, _
    ByRef BP As Double, _
    ByRef W As Double, _
    ByRef Z As Double, _
    ByRef LDZ As Integer, _
    ByRef WORK As Double, _
    ByRef LWORK As Integer, _
    ByRef IWORK As Integer, _
    ByRef LIWORK As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F08TCF Lib "FLDLL224M_nag.dll" ( _
    ByRef ITYPE As Integer, _
    ByVal JOBZ As string, ByVal JOBZLength As Integer, _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef AP As Double, _
    ByRef BP As Double, _
    ByRef W As Double, _
    ByRef Z As Double, _
    ByRef LDZ As Integer, _
    ByRef WORK As Double, _
    ByRef LWORK As Integer, _
    ByRef IWORK As Integer, _
    ByRef LIWORK As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub DSPGST Lib "FLDLL224M_nag.dll" ( _
    ByRef ITYPE As Integer, _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef AP As Double, _
    ByRef BP As Double, _
    ByRef INFO As Integer _
   )

   Declare Sub F08TEF Lib "FLDLL224M_nag.dll" ( _
    ByRef ITYPE As Integer, _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef AP As Double, _
    ByRef BP As Double, _
    ByRef INFO As Integer _
   )


   Declare Sub ZHPGV Lib "FLDLL224M_nag.dll" ( _
    ByRef ITYPE As Integer, _
    ByVal JOBZ As string, ByVal JOBZLength As Integer, _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef AP As Complex, _
    ByRef BP As Complex, _
    ByRef W As Double, _
    ByRef Z As Complex, _
    ByRef LDZ As Integer, _
    ByRef WORK As Complex, _
    ByRef RWORK As Double, _
    ByRef INFO As Integer _
   )

   Declare Sub F08TNF Lib "FLDLL224M_nag.dll" ( _
    ByRef ITYPE As Integer, _
    ByVal JOBZ As string, ByVal JOBZLength As Integer, _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef AP As Complex, _
    ByRef BP As Complex, _
    ByRef W As Double, _
    ByRef Z As Complex, _
    ByRef LDZ As Integer, _
    ByRef WORK As Complex, _
    ByRef RWORK As Double, _
    ByRef INFO As Integer _
   )


   Declare Sub ZHPGVX Lib "FLDLL224M_nag.dll" ( _
    ByRef ITYPE As Integer, ByVal JOBZ As string, ByVal JOBZLength As Integer, ByVal RANGE As string, ByVal RANGELength As Integer, _
    ByVal UPLO As string, ByVal UPLOLength As Integer, ByRef N As Integer, ByRef AP As Complex, _
    ByRef BP As Complex, ByRef VL As Double, ByRef VU As Double, _
    ByRef IL As Integer, ByRef IU As Integer, ByRef ABSTOL As Double, _
    ByRef M As Integer, ByRef W As Double, ByRef Z As Complex, _
    ByRef LDZ As Integer, ByRef WORK As Complex, ByRef RWORK As Double, _
    ByRef IWORK As Integer, ByRef JFAIL As Integer, ByRef INFO As Integer _
   )

   Declare Sub F08TPF Lib "FLDLL224M_nag.dll" ( _
    ByRef ITYPE As Integer, ByVal JOBZ As string, ByVal JOBZLength As Integer, ByVal RANGE As string, ByVal RANGELength As Integer, _
    ByVal UPLO As string, ByVal UPLOLength As Integer, ByRef N As Integer, ByRef AP As Complex, _
    ByRef BP As Complex, ByRef VL As Double, ByRef VU As Double, _
    ByRef IL As Integer, ByRef IU As Integer, ByRef ABSTOL As Double, _
    ByRef M As Integer, ByRef W As Double, ByRef Z As Complex, _
    ByRef LDZ As Integer, ByRef WORK As Complex, ByRef RWORK As Double, _
    ByRef IWORK As Integer, ByRef JFAIL As Integer, ByRef INFO As Integer _
   )


   Declare Sub ZHPGVD Lib "FLDLL224M_nag.dll" ( _
    ByRef ITYPE As Integer, _
    ByVal JOBZ As string, ByVal JOBZLength As Integer, _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef AP As Complex, _
    ByRef BP As Complex, _
    ByRef W As Double, _
    ByRef Z As Complex, _
    ByRef LDZ As Integer, _
    ByRef WORK As Complex, _
    ByRef LWORK As Integer, _
    ByRef RWORK As Double, _
    ByRef LRWORK As Integer, _
    ByRef IWORK As Integer, _
    ByRef LIWORK As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F08TQF Lib "FLDLL224M_nag.dll" ( _
    ByRef ITYPE As Integer, _
    ByVal JOBZ As string, ByVal JOBZLength As Integer, _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef AP As Complex, _
    ByRef BP As Complex, _
    ByRef W As Double, _
    ByRef Z As Complex, _
    ByRef LDZ As Integer, _
    ByRef WORK As Complex, _
    ByRef LWORK As Integer, _
    ByRef RWORK As Double, _
    ByRef LRWORK As Integer, _
    ByRef IWORK As Integer, _
    ByRef LIWORK As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub ZHPGST Lib "FLDLL224M_nag.dll" ( _
    ByRef ITYPE As Integer, _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef AP As Complex, _
    ByRef BP As Complex, _
    ByRef INFO As Integer _
   )

   Declare Sub F08TSF Lib "FLDLL224M_nag.dll" ( _
    ByRef ITYPE As Integer, _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef AP As Complex, _
    ByRef BP As Complex, _
    ByRef INFO As Integer _
   )


   Declare Sub DSBGV Lib "FLDLL224M_nag.dll" ( _
    ByVal JOBZ As string, ByVal JOBZLength As Integer, _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef KA As Integer, _
    ByRef KB As Integer, _
    ByRef AB As Double, _
    ByRef LDAB As Integer, _
    ByRef BB As Double, _
    ByRef LDBB As Integer, _
    ByRef W As Double, _
    ByRef Z As Double, _
    ByRef LDZ As Integer, _
    ByRef WORK As Double, _
    ByRef INFO As Integer _
   )

   Declare Sub F08UAF Lib "FLDLL224M_nag.dll" ( _
    ByVal JOBZ As string, ByVal JOBZLength As Integer, _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef KA As Integer, _
    ByRef KB As Integer, _
    ByRef AB As Double, _
    ByRef LDAB As Integer, _
    ByRef BB As Double, _
    ByRef LDBB As Integer, _
    ByRef W As Double, _
    ByRef Z As Double, _
    ByRef LDZ As Integer, _
    ByRef WORK As Double, _
    ByRef INFO As Integer _
   )


   Declare Sub DSBGVX Lib "FLDLL224M_nag.dll" ( _
    ByVal JOBZ As string, ByVal JOBZLength As Integer, ByVal RANGE As string, ByVal RANGELength As Integer, ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, ByRef KA As Integer, ByRef KB As Integer, _
    ByRef AB As Double, ByRef LDAB As Integer, ByRef BB As Double, _
    ByRef LDBB As Integer, ByRef Q As Double, ByRef LDQ As Integer, _
    ByRef VL As Double, ByRef VU As Double, ByRef IL As Integer, _
    ByRef IU As Integer, ByRef ABSTOL As Double, ByRef M As Integer, _
    ByRef W As Double, ByRef Z As Double, ByRef LDZ As Integer, _
    ByRef WORK As Double, ByRef IWORK As Integer, ByRef JFAIL As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F08UBF Lib "FLDLL224M_nag.dll" ( _
    ByVal JOBZ As string, ByVal JOBZLength As Integer, ByVal RANGE As string, ByVal RANGELength As Integer, ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, ByRef KA As Integer, ByRef KB As Integer, _
    ByRef AB As Double, ByRef LDAB As Integer, ByRef BB As Double, _
    ByRef LDBB As Integer, ByRef Q As Double, ByRef LDQ As Integer, _
    ByRef VL As Double, ByRef VU As Double, ByRef IL As Integer, _
    ByRef IU As Integer, ByRef ABSTOL As Double, ByRef M As Integer, _
    ByRef W As Double, ByRef Z As Double, ByRef LDZ As Integer, _
    ByRef WORK As Double, ByRef IWORK As Integer, ByRef JFAIL As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub DSBGVD Lib "FLDLL224M_nag.dll" ( _
    ByVal JOBZ As string, ByVal JOBZLength As Integer, _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef KA As Integer, _
    ByRef KB As Integer, _
    ByRef AB As Double, _
    ByRef LDAB As Integer, _
    ByRef BB As Double, _
    ByRef LDBB As Integer, _
    ByRef W As Double, _
    ByRef Z As Double, _
    ByRef LDZ As Integer, _
    ByRef WORK As Double, _
    ByRef LWORK As Integer, _
    ByRef IWORK As Integer, _
    ByRef LIWORK As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F08UCF Lib "FLDLL224M_nag.dll" ( _
    ByVal JOBZ As string, ByVal JOBZLength As Integer, _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef KA As Integer, _
    ByRef KB As Integer, _
    ByRef AB As Double, _
    ByRef LDAB As Integer, _
    ByRef BB As Double, _
    ByRef LDBB As Integer, _
    ByRef W As Double, _
    ByRef Z As Double, _
    ByRef LDZ As Integer, _
    ByRef WORK As Double, _
    ByRef LWORK As Integer, _
    ByRef IWORK As Integer, _
    ByRef LIWORK As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub DSBGST Lib "FLDLL224M_nag.dll" ( _
    ByVal VECT As string, ByVal VECTLength As Integer, _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef KA As Integer, _
    ByRef KB As Integer, _
    ByRef AB As Double, _
    ByRef LDAB As Integer, _
    ByRef BB As Double, _
    ByRef LDBB As Integer, _
    ByRef X As Double, _
    ByRef LDX As Integer, _
    ByRef WORK As Double, _
    ByRef INFO As Integer _
   )

   Declare Sub F08UEF Lib "FLDLL224M_nag.dll" ( _
    ByVal VECT As string, ByVal VECTLength As Integer, _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef KA As Integer, _
    ByRef KB As Integer, _
    ByRef AB As Double, _
    ByRef LDAB As Integer, _
    ByRef BB As Double, _
    ByRef LDBB As Integer, _
    ByRef X As Double, _
    ByRef LDX As Integer, _
    ByRef WORK As Double, _
    ByRef INFO As Integer _
   )


   Declare Sub DPBSTF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef KB As Integer, _
    ByRef BB As Double, _
    ByRef LDBB As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F08UFF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef KB As Integer, _
    ByRef BB As Double, _
    ByRef LDBB As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub ZHBGV Lib "FLDLL224M_nag.dll" ( _
    ByVal JOBZ As string, ByVal JOBZLength As Integer, _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef KA As Integer, _
    ByRef KB As Integer, _
    ByRef AB As Complex, _
    ByRef LDAB As Integer, _
    ByRef BB As Complex, _
    ByRef LDBB As Integer, _
    ByRef W As Double, _
    ByRef Z As Complex, _
    ByRef LDZ As Integer, _
    ByRef WORK As Complex, _
    ByRef RWORK As Double, _
    ByRef INFO As Integer _
   )

   Declare Sub F08UNF Lib "FLDLL224M_nag.dll" ( _
    ByVal JOBZ As string, ByVal JOBZLength As Integer, _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef KA As Integer, _
    ByRef KB As Integer, _
    ByRef AB As Complex, _
    ByRef LDAB As Integer, _
    ByRef BB As Complex, _
    ByRef LDBB As Integer, _
    ByRef W As Double, _
    ByRef Z As Complex, _
    ByRef LDZ As Integer, _
    ByRef WORK As Complex, _
    ByRef RWORK As Double, _
    ByRef INFO As Integer _
   )


   Declare Sub ZHBGVX Lib "FLDLL224M_nag.dll" ( _
    ByVal JOBZ As string, ByVal JOBZLength As Integer, ByVal RANGE As string, ByVal RANGELength As Integer, ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, ByRef KA As Integer, ByRef KB As Integer, _
    ByRef AB As Complex, ByRef LDAB As Integer, ByRef BB As Complex, _
    ByRef LDBB As Integer, ByRef Q As Complex, ByRef LDQ As Integer, _
    ByRef VL As Double, ByRef VU As Double, ByRef IL As Integer, _
    ByRef IU As Integer, ByRef ABSTOL As Double, ByRef M As Integer, _
    ByRef W As Double, ByRef Z As Complex, ByRef LDZ As Integer, _
    ByRef WORK As Complex, ByRef RWORK As Double, ByRef IWORK As Integer, _
    ByRef JFAIL As Integer, ByRef INFO As Integer _
   )

   Declare Sub F08UPF Lib "FLDLL224M_nag.dll" ( _
    ByVal JOBZ As string, ByVal JOBZLength As Integer, ByVal RANGE As string, ByVal RANGELength As Integer, ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, ByRef KA As Integer, ByRef KB As Integer, _
    ByRef AB As Complex, ByRef LDAB As Integer, ByRef BB As Complex, _
    ByRef LDBB As Integer, ByRef Q As Complex, ByRef LDQ As Integer, _
    ByRef VL As Double, ByRef VU As Double, ByRef IL As Integer, _
    ByRef IU As Integer, ByRef ABSTOL As Double, ByRef M As Integer, _
    ByRef W As Double, ByRef Z As Complex, ByRef LDZ As Integer, _
    ByRef WORK As Complex, ByRef RWORK As Double, ByRef IWORK As Integer, _
    ByRef JFAIL As Integer, ByRef INFO As Integer _
   )


   Declare Sub ZHBGVD Lib "FLDLL224M_nag.dll" ( _
    ByVal JOBZ As string, ByVal JOBZLength As Integer, _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef KA As Integer, _
    ByRef KB As Integer, _
    ByRef AB As Complex, _
    ByRef LDAB As Integer, _
    ByRef BB As Complex, _
    ByRef LDBB As Integer, _
    ByRef W As Double, _
    ByRef Z As Complex, _
    ByRef LDZ As Integer, _
    ByRef WORK As Complex, _
    ByRef LWORK As Integer, _
    ByRef RWORK As Double, _
    ByRef LRWORK As Integer, _
    ByRef IWORK As Integer, _
    ByRef LIWORK As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F08UQF Lib "FLDLL224M_nag.dll" ( _
    ByVal JOBZ As string, ByVal JOBZLength As Integer, _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef KA As Integer, _
    ByRef KB As Integer, _
    ByRef AB As Complex, _
    ByRef LDAB As Integer, _
    ByRef BB As Complex, _
    ByRef LDBB As Integer, _
    ByRef W As Double, _
    ByRef Z As Complex, _
    ByRef LDZ As Integer, _
    ByRef WORK As Complex, _
    ByRef LWORK As Integer, _
    ByRef RWORK As Double, _
    ByRef LRWORK As Integer, _
    ByRef IWORK As Integer, _
    ByRef LIWORK As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub ZHBGST Lib "FLDLL224M_nag.dll" ( _
    ByVal VECT As string, ByVal VECTLength As Integer, _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef KA As Integer, _
    ByRef KB As Integer, _
    ByRef AB As Complex, _
    ByRef LDAB As Integer, _
    ByRef BB As Complex, _
    ByRef LDBB As Integer, _
    ByRef X As Complex, _
    ByRef LDX As Integer, _
    ByRef WORK As Complex, _
    ByRef RWORK As Double, _
    ByRef INFO As Integer _
   )

   Declare Sub F08USF Lib "FLDLL224M_nag.dll" ( _
    ByVal VECT As string, ByVal VECTLength As Integer, _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef KA As Integer, _
    ByRef KB As Integer, _
    ByRef AB As Complex, _
    ByRef LDAB As Integer, _
    ByRef BB As Complex, _
    ByRef LDBB As Integer, _
    ByRef X As Complex, _
    ByRef LDX As Integer, _
    ByRef WORK As Complex, _
    ByRef RWORK As Double, _
    ByRef INFO As Integer _
   )


   Declare Sub ZPBSTF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef KB As Integer, _
    ByRef BB As Complex, _
    ByRef LDBB As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F08UTF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByRef N As Integer, _
    ByRef KB As Integer, _
    ByRef BB As Complex, _
    ByRef LDBB As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub DGGSVD Lib "FLDLL224M_nag.dll" ( _
    ByVal JOBU As string, ByVal JOBULength As Integer, ByVal JOBV As string, ByVal JOBVLength As Integer, ByVal JOBQ As string, ByVal JOBQLength As Integer, _
    ByRef M As Integer, ByRef N As Integer, ByRef P As Integer, _
    ByRef K As Integer, ByRef L As Integer, ByRef A As Double, _
    ByRef LDA As Integer, ByRef B As Double, ByRef LDB As Integer, _
    ByRef ALPHA As Double, ByRef BETA As Double, ByRef U As Double, _
    ByRef LDU As Integer, ByRef V As Double, ByRef LDV As Integer, _
    ByRef Q As Double, ByRef LDQ As Integer, ByRef WORK As Double, _
    ByRef IWORK As Integer, ByRef INFO As Integer _
   )

   Declare Sub F08VAF Lib "FLDLL224M_nag.dll" ( _
    ByVal JOBU As string, ByVal JOBULength As Integer, ByVal JOBV As string, ByVal JOBVLength As Integer, ByVal JOBQ As string, ByVal JOBQLength As Integer, _
    ByRef M As Integer, ByRef N As Integer, ByRef P As Integer, _
    ByRef K As Integer, ByRef L As Integer, ByRef A As Double, _
    ByRef LDA As Integer, ByRef B As Double, ByRef LDB As Integer, _
    ByRef ALPHA As Double, ByRef BETA As Double, ByRef U As Double, _
    ByRef LDU As Integer, ByRef V As Double, ByRef LDV As Integer, _
    ByRef Q As Double, ByRef LDQ As Integer, ByRef WORK As Double, _
    ByRef IWORK As Integer, ByRef INFO As Integer _
   )


   Declare Sub DGGSVP Lib "FLDLL224M_nag.dll" ( _
    ByVal JOBU As string, ByVal JOBULength As Integer, ByVal JOBV As string, ByVal JOBVLength As Integer, ByVal JOBQ As string, ByVal JOBQLength As Integer, _
    ByRef M As Integer, ByRef P As Integer, ByRef N As Integer, _
    ByRef A As Double, ByRef LDA As Integer, ByRef B As Double, _
    ByRef LDB As Integer, ByRef TOLA As Double, ByRef TOLB As Double, _
    ByRef K As Integer, ByRef L As Integer, ByRef U As Double, _
    ByRef LDU As Integer, ByRef V As Double, ByRef LDV As Integer, _
    ByRef Q As Double, ByRef LDQ As Integer, ByRef IWORK As Integer, _
    ByRef TAU As Double, ByRef WORK As Double, ByRef INFO As Integer _
   )

   Declare Sub F08VEF Lib "FLDLL224M_nag.dll" ( _
    ByVal JOBU As string, ByVal JOBULength As Integer, ByVal JOBV As string, ByVal JOBVLength As Integer, ByVal JOBQ As string, ByVal JOBQLength As Integer, _
    ByRef M As Integer, ByRef P As Integer, ByRef N As Integer, _
    ByRef A As Double, ByRef LDA As Integer, ByRef B As Double, _
    ByRef LDB As Integer, ByRef TOLA As Double, ByRef TOLB As Double, _
    ByRef K As Integer, ByRef L As Integer, ByRef U As Double, _
    ByRef LDU As Integer, ByRef V As Double, ByRef LDV As Integer, _
    ByRef Q As Double, ByRef LDQ As Integer, ByRef IWORK As Integer, _
    ByRef TAU As Double, ByRef WORK As Double, ByRef INFO As Integer _
   )


   Declare Sub ZGGSVD Lib "FLDLL224M_nag.dll" ( _
    ByVal JOBU As string, ByVal JOBULength As Integer, ByVal JOBV As string, ByVal JOBVLength As Integer, ByVal JOBQ As string, ByVal JOBQLength As Integer, _
    ByRef M As Integer, ByRef N As Integer, ByRef P As Integer, _
    ByRef K As Integer, ByRef L As Integer, ByRef A As Complex, _
    ByRef LDA As Integer, ByRef B As Complex, ByRef LDB As Integer, _
    ByRef ALPHA As Double, ByRef BETA As Double, ByRef U As Complex, _
    ByRef LDU As Integer, ByRef V As Complex, ByRef LDV As Integer, _
    ByRef Q As Complex, ByRef LDQ As Integer, ByRef WORK As Complex, _
    ByRef RWORK As Double, ByRef IWORK As Integer, ByRef INFO As Integer _
   )

   Declare Sub F08VNF Lib "FLDLL224M_nag.dll" ( _
    ByVal JOBU As string, ByVal JOBULength As Integer, ByVal JOBV As string, ByVal JOBVLength As Integer, ByVal JOBQ As string, ByVal JOBQLength As Integer, _
    ByRef M As Integer, ByRef N As Integer, ByRef P As Integer, _
    ByRef K As Integer, ByRef L As Integer, ByRef A As Complex, _
    ByRef LDA As Integer, ByRef B As Complex, ByRef LDB As Integer, _
    ByRef ALPHA As Double, ByRef BETA As Double, ByRef U As Complex, _
    ByRef LDU As Integer, ByRef V As Complex, ByRef LDV As Integer, _
    ByRef Q As Complex, ByRef LDQ As Integer, ByRef WORK As Complex, _
    ByRef RWORK As Double, ByRef IWORK As Integer, ByRef INFO As Integer _
   )


   Declare Sub ZGGSVP Lib "FLDLL224M_nag.dll" ( _
    ByVal JOBU As string, ByVal JOBULength As Integer, ByVal JOBV As string, ByVal JOBVLength As Integer, ByVal JOBQ As string, ByVal JOBQLength As Integer, _
    ByRef M As Integer, ByRef P As Integer, ByRef N As Integer, _
    ByRef A As Complex, ByRef LDA As Integer, ByRef B As Complex, _
    ByRef LDB As Integer, ByRef TOLA As Double, ByRef TOLB As Double, _
    ByRef K As Integer, ByRef L As Integer, ByRef U As Complex, _
    ByRef LDU As Integer, ByRef V As Complex, ByRef LDV As Integer, _
    ByRef Q As Complex, ByRef LDQ As Integer, ByRef IWORK As Integer, _
    ByRef RWORK As Double, ByRef TAU As Complex, ByRef WORK As Complex, _
    ByRef INFO As Integer _
   )

   Declare Sub F08VSF Lib "FLDLL224M_nag.dll" ( _
    ByVal JOBU As string, ByVal JOBULength As Integer, ByVal JOBV As string, ByVal JOBVLength As Integer, ByVal JOBQ As string, ByVal JOBQLength As Integer, _
    ByRef M As Integer, ByRef P As Integer, ByRef N As Integer, _
    ByRef A As Complex, ByRef LDA As Integer, ByRef B As Complex, _
    ByRef LDB As Integer, ByRef TOLA As Double, ByRef TOLB As Double, _
    ByRef K As Integer, ByRef L As Integer, ByRef U As Complex, _
    ByRef LDU As Integer, ByRef V As Complex, ByRef LDV As Integer, _
    ByRef Q As Complex, ByRef LDQ As Integer, ByRef IWORK As Integer, _
    ByRef RWORK As Double, ByRef TAU As Complex, ByRef WORK As Complex, _
    ByRef INFO As Integer _
   )


   Declare Sub DGGEV Lib "FLDLL224M_nag.dll" ( _
    ByVal JOBVL As string, ByVal JOBVLLength As Integer, _
    ByVal JOBVR As string, ByVal JOBVRLength As Integer, _
    ByRef N As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef B As Double, _
    ByRef LDB As Integer, _
    ByRef ALPHAR As Double, _
    ByRef ALPHAI As Double, _
    ByRef BETA As Double, _
    ByRef VL As Double, _
    ByRef LDVL As Integer, _
    ByRef VR As Double, _
    ByRef LDVR As Integer, _
    ByRef WORK As Double, _
    ByRef LWORK As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F08WAF Lib "FLDLL224M_nag.dll" ( _
    ByVal JOBVL As string, ByVal JOBVLLength As Integer, _
    ByVal JOBVR As string, ByVal JOBVRLength As Integer, _
    ByRef N As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef B As Double, _
    ByRef LDB As Integer, _
    ByRef ALPHAR As Double, _
    ByRef ALPHAI As Double, _
    ByRef BETA As Double, _
    ByRef VL As Double, _
    ByRef LDVL As Integer, _
    ByRef VR As Double, _
    ByRef LDVR As Integer, _
    ByRef WORK As Double, _
    ByRef LWORK As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub DGGEVX Lib "FLDLL224M_nag.dll" ( _
    ByVal BALANC As string, ByVal BALANCLength As Integer, ByVal JOBVL As string, ByVal JOBVLLength As Integer, ByVal JOBVR As string, ByVal JOBVRLength As Integer, _
    ByVal SENSE As string, ByVal SENSELength As Integer, ByRef N As Integer, ByRef A As Double, _
    ByRef LDA As Integer, ByRef B As Double, ByRef LDB As Integer, _
    ByRef ALPHAR As Double, ByRef ALPHAI As Double, ByRef BETA As Double, _
    ByRef VL As Double, ByRef LDVL As Integer, ByRef VR As Double, _
    ByRef LDVR As Integer, ByRef ILO As Integer, ByRef IHI As Integer, _
    ByRef LSCALE As Double, ByRef RSCALE As Double, ByRef ABNRM As Double, _
    ByRef BBNRM As Double, ByRef RCONDE As Double, ByRef RCONDV As Double, _
    ByRef WORK As Double, ByRef LWORK As Integer, ByRef IWORK As Integer, _
    ByRef BWORK As Integer, ByRef INFO As Integer _
   )

   Declare Sub F08WBF Lib "FLDLL224M_nag.dll" ( _
    ByVal BALANC As string, ByVal BALANCLength As Integer, ByVal JOBVL As string, ByVal JOBVLLength As Integer, ByVal JOBVR As string, ByVal JOBVRLength As Integer, _
    ByVal SENSE As string, ByVal SENSELength As Integer, ByRef N As Integer, ByRef A As Double, _
    ByRef LDA As Integer, ByRef B As Double, ByRef LDB As Integer, _
    ByRef ALPHAR As Double, ByRef ALPHAI As Double, ByRef BETA As Double, _
    ByRef VL As Double, ByRef LDVL As Integer, ByRef VR As Double, _
    ByRef LDVR As Integer, ByRef ILO As Integer, ByRef IHI As Integer, _
    ByRef LSCALE As Double, ByRef RSCALE As Double, ByRef ABNRM As Double, _
    ByRef BBNRM As Double, ByRef RCONDE As Double, ByRef RCONDV As Double, _
    ByRef WORK As Double, ByRef LWORK As Integer, ByRef IWORK As Integer, _
    ByRef BWORK As Integer, ByRef INFO As Integer _
   )


   Declare Sub DGGHRD Lib "FLDLL224M_nag.dll" ( _
    ByVal COMPQ As string, ByVal COMPQLength As Integer, _
    ByVal COMPZ As string, ByVal COMPZLength As Integer, _
    ByRef N As Integer, _
    ByRef ILO As Integer, _
    ByRef IHI As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef B As Double, _
    ByRef LDB As Integer, _
    ByRef Q As Double, _
    ByRef LDQ As Integer, _
    ByRef Z As Double, _
    ByRef LDZ As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F08WEF Lib "FLDLL224M_nag.dll" ( _
    ByVal COMPQ As string, ByVal COMPQLength As Integer, _
    ByVal COMPZ As string, ByVal COMPZLength As Integer, _
    ByRef N As Integer, _
    ByRef ILO As Integer, _
    ByRef IHI As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef B As Double, _
    ByRef LDB As Integer, _
    ByRef Q As Double, _
    ByRef LDQ As Integer, _
    ByRef Z As Double, _
    ByRef LDZ As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub DGGBAL Lib "FLDLL224M_nag.dll" ( _
    ByVal JOB As string, ByVal JOBLength As Integer, _
    ByRef N As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef B As Double, _
    ByRef LDB As Integer, _
    ByRef ILO As Integer, _
    ByRef IHI As Integer, _
    ByRef LSCALE As Double, _
    ByRef RSCALE As Double, _
    ByRef WORK As Double, _
    ByRef INFO As Integer _
   )

   Declare Sub F08WHF Lib "FLDLL224M_nag.dll" ( _
    ByVal JOB As string, ByVal JOBLength As Integer, _
    ByRef N As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef B As Double, _
    ByRef LDB As Integer, _
    ByRef ILO As Integer, _
    ByRef IHI As Integer, _
    ByRef LSCALE As Double, _
    ByRef RSCALE As Double, _
    ByRef WORK As Double, _
    ByRef INFO As Integer _
   )


   Declare Sub DGGBAK Lib "FLDLL224M_nag.dll" ( _
    ByVal JOB As string, ByVal JOBLength As Integer, _
    ByVal SIDE As string, ByVal SIDELength As Integer, _
    ByRef N As Integer, _
    ByRef ILO As Integer, _
    ByRef IHI As Integer, _
    ByRef LSCALE As Double, _
    ByRef RSCALE As Double, _
    ByRef M As Integer, _
    ByRef V As Double, _
    ByRef LDV As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F08WJF Lib "FLDLL224M_nag.dll" ( _
    ByVal JOB As string, ByVal JOBLength As Integer, _
    ByVal SIDE As string, ByVal SIDELength As Integer, _
    ByRef N As Integer, _
    ByRef ILO As Integer, _
    ByRef IHI As Integer, _
    ByRef LSCALE As Double, _
    ByRef RSCALE As Double, _
    ByRef M As Integer, _
    ByRef V As Double, _
    ByRef LDV As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub ZGGEV Lib "FLDLL224M_nag.dll" ( _
    ByVal JOBVL As string, ByVal JOBVLLength As Integer, _
    ByVal JOBVR As string, ByVal JOBVRLength As Integer, _
    ByRef N As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef B As Complex, _
    ByRef LDB As Integer, _
    ByRef ALPHA As Complex, _
    ByRef BETA As Complex, _
    ByRef VL As Complex, _
    ByRef LDVL As Integer, _
    ByRef VR As Complex, _
    ByRef LDVR As Integer, _
    ByRef WORK As Complex, _
    ByRef LWORK As Integer, _
    ByRef RWORK As Double, _
    ByRef INFO As Integer _
   )

   Declare Sub F08WNF Lib "FLDLL224M_nag.dll" ( _
    ByVal JOBVL As string, ByVal JOBVLLength As Integer, _
    ByVal JOBVR As string, ByVal JOBVRLength As Integer, _
    ByRef N As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef B As Complex, _
    ByRef LDB As Integer, _
    ByRef ALPHA As Complex, _
    ByRef BETA As Complex, _
    ByRef VL As Complex, _
    ByRef LDVL As Integer, _
    ByRef VR As Complex, _
    ByRef LDVR As Integer, _
    ByRef WORK As Complex, _
    ByRef LWORK As Integer, _
    ByRef RWORK As Double, _
    ByRef INFO As Integer _
   )


   Declare Sub ZGGEVX Lib "FLDLL224M_nag.dll" ( _
    ByVal BALANC As string, ByVal BALANCLength As Integer, ByVal JOBVL As string, ByVal JOBVLLength As Integer, ByVal JOBVR As string, ByVal JOBVRLength As Integer, _
    ByVal SENSE As string, ByVal SENSELength As Integer, ByRef N As Integer, ByRef A As Complex, _
    ByRef LDA As Integer, ByRef B As Complex, ByRef LDB As Integer, _
    ByRef ALPHA As Complex, ByRef BETA As Complex, ByRef VL As Complex, _
    ByRef LDVL As Integer, ByRef VR As Complex, ByRef LDVR As Integer, _
    ByRef ILO As Integer, ByRef IHI As Integer, ByRef LSCALE As Double, _
    ByRef RSCALE As Double, ByRef ABNRM As Double, ByRef BBNRM As Double, _
    ByRef RCONDE As Double, ByRef RCONDV As Double, ByRef WORK As Complex, _
    ByRef LWORK As Integer, ByRef RWORK As Double, ByRef IWORK As Integer, _
    ByRef BWORK As Integer, ByRef INFO As Integer _
   )

   Declare Sub F08WPF Lib "FLDLL224M_nag.dll" ( _
    ByVal BALANC As string, ByVal BALANCLength As Integer, ByVal JOBVL As string, ByVal JOBVLLength As Integer, ByVal JOBVR As string, ByVal JOBVRLength As Integer, _
    ByVal SENSE As string, ByVal SENSELength As Integer, ByRef N As Integer, ByRef A As Complex, _
    ByRef LDA As Integer, ByRef B As Complex, ByRef LDB As Integer, _
    ByRef ALPHA As Complex, ByRef BETA As Complex, ByRef VL As Complex, _
    ByRef LDVL As Integer, ByRef VR As Complex, ByRef LDVR As Integer, _
    ByRef ILO As Integer, ByRef IHI As Integer, ByRef LSCALE As Double, _
    ByRef RSCALE As Double, ByRef ABNRM As Double, ByRef BBNRM As Double, _
    ByRef RCONDE As Double, ByRef RCONDV As Double, ByRef WORK As Complex, _
    ByRef LWORK As Integer, ByRef RWORK As Double, ByRef IWORK As Integer, _
    ByRef BWORK As Integer, ByRef INFO As Integer _
   )


   Declare Sub ZGGHRD Lib "FLDLL224M_nag.dll" ( _
    ByVal COMPQ As string, ByVal COMPQLength As Integer, _
    ByVal COMPZ As string, ByVal COMPZLength As Integer, _
    ByRef N As Integer, _
    ByRef ILO As Integer, _
    ByRef IHI As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef B As Complex, _
    ByRef LDB As Integer, _
    ByRef Q As Complex, _
    ByRef LDQ As Integer, _
    ByRef Z As Complex, _
    ByRef LDZ As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F08WSF Lib "FLDLL224M_nag.dll" ( _
    ByVal COMPQ As string, ByVal COMPQLength As Integer, _
    ByVal COMPZ As string, ByVal COMPZLength As Integer, _
    ByRef N As Integer, _
    ByRef ILO As Integer, _
    ByRef IHI As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef B As Complex, _
    ByRef LDB As Integer, _
    ByRef Q As Complex, _
    ByRef LDQ As Integer, _
    ByRef Z As Complex, _
    ByRef LDZ As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub ZGGBAL Lib "FLDLL224M_nag.dll" ( _
    ByVal JOB As string, ByVal JOBLength As Integer, _
    ByRef N As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef B As Complex, _
    ByRef LDB As Integer, _
    ByRef ILO As Integer, _
    ByRef IHI As Integer, _
    ByRef LSCALE As Double, _
    ByRef RSCALE As Double, _
    ByRef WORK As Double, _
    ByRef INFO As Integer _
   )

   Declare Sub F08WVF Lib "FLDLL224M_nag.dll" ( _
    ByVal JOB As string, ByVal JOBLength As Integer, _
    ByRef N As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef B As Complex, _
    ByRef LDB As Integer, _
    ByRef ILO As Integer, _
    ByRef IHI As Integer, _
    ByRef LSCALE As Double, _
    ByRef RSCALE As Double, _
    ByRef WORK As Double, _
    ByRef INFO As Integer _
   )


   Declare Sub ZGGBAK Lib "FLDLL224M_nag.dll" ( _
    ByVal JOB As string, ByVal JOBLength As Integer, _
    ByVal SIDE As string, ByVal SIDELength As Integer, _
    ByRef N As Integer, _
    ByRef ILO As Integer, _
    ByRef IHI As Integer, _
    ByRef LSCALE As Double, _
    ByRef RSCALE As Double, _
    ByRef M As Integer, _
    ByRef V As Complex, _
    ByRef LDV As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F08WWF Lib "FLDLL224M_nag.dll" ( _
    ByVal JOB As string, ByVal JOBLength As Integer, _
    ByVal SIDE As string, ByVal SIDELength As Integer, _
    ByRef N As Integer, _
    ByRef ILO As Integer, _
    ByRef IHI As Integer, _
    ByRef LSCALE As Double, _
    ByRef RSCALE As Double, _
    ByRef M As Integer, _
    ByRef V As Complex, _
    ByRef LDV As Integer, _
    ByRef INFO As Integer _
   )


  Delegate Function DGGES_SELCTG_DELEGATE( _
    ByRef AR As Double, _
    ByRef AI As Double, _
    ByRef B As Double _
  ) as Integer

   Declare Function F08XAZ Lib "FLDLL224M_nag.dll" ( _
    ByRef AR As Double, _
    ByRef AI As Double, _
    ByRef B As Double _
  ) as Integer

   Declare Sub DGGES Lib "FLDLL224M_nag.dll" ( _
    ByVal JOBVSL As string, ByVal JOBVSLLength As Integer, ByVal JOBVSR As string, ByVal JOBVSRLength As Integer, ByVal SORT As string, ByVal SORTLength As Integer, _
    ByVal SELCTG As F08XAF_SELCTG_DELEGATE, ByRef N As Integer, ByRef A As Double, _
    ByRef LDA As Integer, ByRef B As Double, ByRef LDB As Integer, _
    ByRef SDIM As Integer, ByRef ALPHAR As Double, ByRef ALPHAI As Double, _
    ByRef BETA As Double, ByRef VSL As Double, ByRef LDVSL As Integer, _
    ByRef VSR As Double, ByRef LDVSR As Integer, ByRef WORK As Double, _
    ByRef LWORK As Integer, ByRef BWORK As Integer, ByRef INFO As Integer _
   )

  Delegate Function F08XAF_SELCTG_DELEGATE( _
    ByRef AR As Double, _
    ByRef AI As Double, _
    ByRef B As Double _
  ) as Integer


   Declare Sub F08XAF Lib "FLDLL224M_nag.dll" ( _
    ByVal JOBVSL As string, ByVal JOBVSLLength As Integer, ByVal JOBVSR As string, ByVal JOBVSRLength As Integer, ByVal SORT As string, ByVal SORTLength As Integer, _
    ByVal SELCTG As F08XAF_SELCTG_DELEGATE, ByRef N As Integer, ByRef A As Double, _
    ByRef LDA As Integer, ByRef B As Double, ByRef LDB As Integer, _
    ByRef SDIM As Integer, ByRef ALPHAR As Double, ByRef ALPHAI As Double, _
    ByRef BETA As Double, ByRef VSL As Double, ByRef LDVSL As Integer, _
    ByRef VSR As Double, ByRef LDVSR As Integer, ByRef WORK As Double, _
    ByRef LWORK As Integer, ByRef BWORK As Integer, ByRef INFO As Integer _
   )


  Delegate Function DGGESX_SELCTG_DELEGATE( _
    ByRef AR As Double, _
    ByRef AI As Double, _
    ByRef B As Double _
  ) as Integer


   Declare Sub DGGESX Lib "FLDLL224M_nag.dll" ( _
    ByVal JOBVSL As string, ByVal JOBVSLLength As Integer, ByVal JOBVSR As string, ByVal JOBVSRLength As Integer, ByVal SORT As string, ByVal SORTLength As Integer, _
    ByVal SELCTG As F08XBF_SELCTG_DELEGATE, ByVal SENSE As string, ByVal SENSELength As Integer, ByRef N As Integer, _
    ByRef A As Double, ByRef LDA As Integer, ByRef B As Double, _
    ByRef LDB As Integer, ByRef SDIM As Integer, ByRef ALPHAR As Double, _
    ByRef ALPHAI As Double, ByRef BETA As Double, ByRef VSL As Double, _
    ByRef LDVSL As Integer, ByRef VSR As Double, ByRef LDVSR As Integer, _
    ByRef RCONDE As Double, ByRef RCONDV As Double, ByRef WORK As Double, _
    ByRef LWORK As Integer, ByRef IWORK As Integer, ByRef LIWORK As Integer, _
    ByRef BWORK As Integer, ByRef INFO As Integer _
   )

  Delegate Function F08XBF_SELCTG_DELEGATE( _
    ByRef AR As Double, _
    ByRef AI As Double, _
    ByRef B As Double _
  ) as Integer


   Declare Sub F08XBF Lib "FLDLL224M_nag.dll" ( _
    ByVal JOBVSL As string, ByVal JOBVSLLength As Integer, ByVal JOBVSR As string, ByVal JOBVSRLength As Integer, ByVal SORT As string, ByVal SORTLength As Integer, _
    ByVal SELCTG As F08XBF_SELCTG_DELEGATE, ByVal SENSE As string, ByVal SENSELength As Integer, ByRef N As Integer, _
    ByRef A As Double, ByRef LDA As Integer, ByRef B As Double, _
    ByRef LDB As Integer, ByRef SDIM As Integer, ByRef ALPHAR As Double, _
    ByRef ALPHAI As Double, ByRef BETA As Double, ByRef VSL As Double, _
    ByRef LDVSL As Integer, ByRef VSR As Double, ByRef LDVSR As Integer, _
    ByRef RCONDE As Double, ByRef RCONDV As Double, ByRef WORK As Double, _
    ByRef LWORK As Integer, ByRef IWORK As Integer, ByRef LIWORK As Integer, _
    ByRef BWORK As Integer, ByRef INFO As Integer _
   )


   Declare Sub DHGEQZ Lib "FLDLL224M_nag.dll" ( _
    ByVal JOB As string, ByVal JOBLength As Integer, ByVal COMPQ As string, ByVal COMPQLength As Integer, ByVal COMPZ As string, ByVal COMPZLength As Integer, _
    ByRef N As Integer, ByRef ILO As Integer, ByRef IHI As Integer, _
    ByRef H As Double, ByRef LDH As Integer, ByRef T As Double, _
    ByRef LDT As Integer, ByRef ALPHAR As Double, ByRef ALPHAI As Double, _
    ByRef BETA As Double, ByRef Q As Double, ByRef LDQ As Integer, _
    ByRef Z As Double, ByRef LDZ As Integer, ByRef WORK As Double, _
    ByRef LWORK As Integer, ByRef INFO As Integer _
   )

   Declare Sub F08XEF Lib "FLDLL224M_nag.dll" ( _
    ByVal JOB As string, ByVal JOBLength As Integer, ByVal COMPQ As string, ByVal COMPQLength As Integer, ByVal COMPZ As string, ByVal COMPZLength As Integer, _
    ByRef N As Integer, ByRef ILO As Integer, ByRef IHI As Integer, _
    ByRef H As Double, ByRef LDH As Integer, ByRef T As Double, _
    ByRef LDT As Integer, ByRef ALPHAR As Double, ByRef ALPHAI As Double, _
    ByRef BETA As Double, ByRef Q As Double, ByRef LDQ As Integer, _
    ByRef Z As Double, ByRef LDZ As Integer, ByRef WORK As Double, _
    ByRef LWORK As Integer, ByRef INFO As Integer _
   )


  Delegate Function ZGGES_SELCTG_DELEGATE( _
    ByRef A As Complex, _
    ByRef B As Complex _
  ) as Integer

   Declare Function F08XNZ Lib "FLDLL224M_nag.dll" ( _
    ByRef A As Complex, _
    ByRef B As Complex _
  ) as Integer

   Declare Sub ZGGES Lib "FLDLL224M_nag.dll" ( _
    ByVal JOBVSL As string, ByVal JOBVSLLength As Integer, ByVal JOBVSR As string, ByVal JOBVSRLength As Integer, ByVal SORT As string, ByVal SORTLength As Integer, _
    ByVal SELCTG As F08XNF_SELCTG_DELEGATE, ByRef N As Integer, ByRef A As Complex, _
    ByRef LDA As Integer, ByRef B As Complex, ByRef LDB As Integer, _
    ByRef SDIM As Integer, ByRef ALPHA As Complex, ByRef BETA As Complex, _
    ByRef VSL As Complex, ByRef LDVSL As Integer, ByRef VSR As Complex, _
    ByRef LDVSR As Integer, ByRef WORK As Complex, ByRef LWORK As Integer, _
    ByRef RWORK As Double, ByRef BWORK As Integer, ByRef INFO As Integer _
   )

  Delegate Function F08XNF_SELCTG_DELEGATE( _
    ByRef A As Complex, _
    ByRef B As Complex _
  ) as Integer


   Declare Sub F08XNF Lib "FLDLL224M_nag.dll" ( _
    ByVal JOBVSL As string, ByVal JOBVSLLength As Integer, ByVal JOBVSR As string, ByVal JOBVSRLength As Integer, ByVal SORT As string, ByVal SORTLength As Integer, _
    ByVal SELCTG As F08XNF_SELCTG_DELEGATE, ByRef N As Integer, ByRef A As Complex, _
    ByRef LDA As Integer, ByRef B As Complex, ByRef LDB As Integer, _
    ByRef SDIM As Integer, ByRef ALPHA As Complex, ByRef BETA As Complex, _
    ByRef VSL As Complex, ByRef LDVSL As Integer, ByRef VSR As Complex, _
    ByRef LDVSR As Integer, ByRef WORK As Complex, ByRef LWORK As Integer, _
    ByRef RWORK As Double, ByRef BWORK As Integer, ByRef INFO As Integer _
   )


  Delegate Function ZGGESX_SELCTG_DELEGATE( _
    ByRef A As Complex, _
    ByRef B As Complex _
  ) as Integer


   Declare Sub ZGGESX Lib "FLDLL224M_nag.dll" ( _
    ByVal JOBVSL As string, ByVal JOBVSLLength As Integer, ByVal JOBVSR As string, ByVal JOBVSRLength As Integer, ByVal SORT As string, ByVal SORTLength As Integer, _
    ByVal SELCTG As F08XPF_SELCTG_DELEGATE, ByVal SENSE As string, ByVal SENSELength As Integer, ByRef N As Integer, _
    ByRef A As Complex, ByRef LDA As Integer, ByRef B As Complex, _
    ByRef LDB As Integer, ByRef SDIM As Integer, ByRef ALPHA As Complex, _
    ByRef BETA As Complex, ByRef VSL As Complex, ByRef LDVSL As Integer, _
    ByRef VSR As Complex, ByRef LDVSR As Integer, ByRef RCONDE As Double, _
    ByRef RCONDV As Double, ByRef WORK As Complex, ByRef LWORK As Integer, _
    ByRef RWORK As Double, ByRef IWORK As Integer, ByRef LIWORK As Integer, _
    ByRef BWORK As Integer, ByRef INFO As Integer _
   )

  Delegate Function F08XPF_SELCTG_DELEGATE( _
    ByRef A As Complex, _
    ByRef B As Complex _
  ) as Integer


   Declare Sub F08XPF Lib "FLDLL224M_nag.dll" ( _
    ByVal JOBVSL As string, ByVal JOBVSLLength As Integer, ByVal JOBVSR As string, ByVal JOBVSRLength As Integer, ByVal SORT As string, ByVal SORTLength As Integer, _
    ByVal SELCTG As F08XPF_SELCTG_DELEGATE, ByVal SENSE As string, ByVal SENSELength As Integer, ByRef N As Integer, _
    ByRef A As Complex, ByRef LDA As Integer, ByRef B As Complex, _
    ByRef LDB As Integer, ByRef SDIM As Integer, ByRef ALPHA As Complex, _
    ByRef BETA As Complex, ByRef VSL As Complex, ByRef LDVSL As Integer, _
    ByRef VSR As Complex, ByRef LDVSR As Integer, ByRef RCONDE As Double, _
    ByRef RCONDV As Double, ByRef WORK As Complex, ByRef LWORK As Integer, _
    ByRef RWORK As Double, ByRef IWORK As Integer, ByRef LIWORK As Integer, _
    ByRef BWORK As Integer, ByRef INFO As Integer _
   )


   Declare Sub ZHGEQZ Lib "FLDLL224M_nag.dll" ( _
    ByVal JOB As string, ByVal JOBLength As Integer, ByVal COMPQ As string, ByVal COMPQLength As Integer, ByVal COMPZ As string, ByVal COMPZLength As Integer, _
    ByRef N As Integer, ByRef ILO As Integer, ByRef IHI As Integer, _
    ByRef A As Complex, ByRef LDA As Integer, ByRef B As Complex, _
    ByRef LDB As Integer, ByRef ALPHA As Complex, ByRef BETA As Complex, _
    ByRef Q As Complex, ByRef LDQ As Integer, ByRef Z As Complex, _
    ByRef LDZ As Integer, ByRef WORK As Complex, ByRef LWORK As Integer, _
    ByRef RWORK As Double, ByRef INFO As Integer _
   )

   Declare Sub F08XSF Lib "FLDLL224M_nag.dll" ( _
    ByVal JOB As string, ByVal JOBLength As Integer, ByVal COMPQ As string, ByVal COMPQLength As Integer, ByVal COMPZ As string, ByVal COMPZLength As Integer, _
    ByRef N As Integer, ByRef ILO As Integer, ByRef IHI As Integer, _
    ByRef A As Complex, ByRef LDA As Integer, ByRef B As Complex, _
    ByRef LDB As Integer, ByRef ALPHA As Complex, ByRef BETA As Complex, _
    ByRef Q As Complex, ByRef LDQ As Integer, ByRef Z As Complex, _
    ByRef LDZ As Integer, ByRef WORK As Complex, ByRef LWORK As Integer, _
    ByRef RWORK As Double, ByRef INFO As Integer _
   )


   Declare Sub DTGSJA Lib "FLDLL224M_nag.dll" ( _
    ByVal JOBU As string, ByVal JOBULength As Integer, ByVal JOBV As string, ByVal JOBVLength As Integer, ByVal JOBQ As string, ByVal JOBQLength As Integer, _
    ByRef M As Integer, ByRef P As Integer, ByRef N As Integer, _
    ByRef K As Integer, ByRef L As Integer, ByRef A As Double, _
    ByRef LDA As Integer, ByRef B As Double, ByRef LDB As Integer, _
    ByRef TOLA As Double, ByRef TOLB As Double, ByRef ALPHA As Double, _
    ByRef BETA As Double, ByRef U As Double, ByRef LDU As Integer, _
    ByRef V As Double, ByRef LDV As Integer, ByRef Q As Double, _
    ByRef LDQ As Integer, ByRef WORK As Double, ByRef NCYCLE As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F08YEF Lib "FLDLL224M_nag.dll" ( _
    ByVal JOBU As string, ByVal JOBULength As Integer, ByVal JOBV As string, ByVal JOBVLength As Integer, ByVal JOBQ As string, ByVal JOBQLength As Integer, _
    ByRef M As Integer, ByRef P As Integer, ByRef N As Integer, _
    ByRef K As Integer, ByRef L As Integer, ByRef A As Double, _
    ByRef LDA As Integer, ByRef B As Double, ByRef LDB As Integer, _
    ByRef TOLA As Double, ByRef TOLB As Double, ByRef ALPHA As Double, _
    ByRef BETA As Double, ByRef U As Double, ByRef LDU As Integer, _
    ByRef V As Double, ByRef LDV As Integer, ByRef Q As Double, _
    ByRef LDQ As Integer, ByRef WORK As Double, ByRef NCYCLE As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub DTGEXC Lib "FLDLL224M_nag.dll" ( _
    ByRef WANTQ As Integer, _
    ByRef WANTZ As Integer, _
    ByRef N As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef B As Double, _
    ByRef LDB As Integer, _
    ByRef Q As Double, _
    ByRef LDQ As Integer, _
    ByRef Z As Double, _
    ByRef LDZ As Integer, _
    ByRef IFST As Integer, _
    ByRef ILST As Integer, _
    ByRef WORK As Double, _
    ByRef LWORK As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F08YFF Lib "FLDLL224M_nag.dll" ( _
    ByRef WANTQ As Integer, _
    ByRef WANTZ As Integer, _
    ByRef N As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef B As Double, _
    ByRef LDB As Integer, _
    ByRef Q As Double, _
    ByRef LDQ As Integer, _
    ByRef Z As Double, _
    ByRef LDZ As Integer, _
    ByRef IFST As Integer, _
    ByRef ILST As Integer, _
    ByRef WORK As Double, _
    ByRef LWORK As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub DTGSEN Lib "FLDLL224M_nag.dll" ( _
    ByRef IJOB As Integer, ByRef WANTQ As Integer, ByRef WANTZ As Integer, _
    ByRef SEL As Integer, ByRef N As Integer, ByRef A As Double, _
    ByRef LDA As Integer, ByRef B As Double, ByRef LDB As Integer, _
    ByRef ALPHAR As Double, ByRef ALPHAI As Double, ByRef BETA As Double, _
    ByRef Q As Double, ByRef LDQ As Integer, ByRef Z As Double, _
    ByRef LDZ As Integer, ByRef M As Integer, ByRef PL As Double, _
    ByRef PR As Double, ByRef DIF As Double, ByRef WORK As Double, _
    ByRef LWORK As Integer, ByRef IWORK As Integer, ByRef LIWORK As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F08YGF Lib "FLDLL224M_nag.dll" ( _
    ByRef IJOB As Integer, ByRef WANTQ As Integer, ByRef WANTZ As Integer, _
    ByRef SEL As Integer, ByRef N As Integer, ByRef A As Double, _
    ByRef LDA As Integer, ByRef B As Double, ByRef LDB As Integer, _
    ByRef ALPHAR As Double, ByRef ALPHAI As Double, ByRef BETA As Double, _
    ByRef Q As Double, ByRef LDQ As Integer, ByRef Z As Double, _
    ByRef LDZ As Integer, ByRef M As Integer, ByRef PL As Double, _
    ByRef PR As Double, ByRef DIF As Double, ByRef WORK As Double, _
    ByRef LWORK As Integer, ByRef IWORK As Integer, ByRef LIWORK As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub DTGSYL Lib "FLDLL224M_nag.dll" ( _
    ByVal TRANS As string, ByVal TRANSLength As Integer, ByRef IJOB As Integer, ByRef M As Integer, _
    ByRef N As Integer, ByRef A As Double, ByRef LDA As Integer, _
    ByRef B As Double, ByRef LDB As Integer, ByRef C As Double, _
    ByRef LDC As Integer, ByRef D As Double, ByRef LDD As Integer, _
    ByRef E As Double, ByRef LDE As Integer, ByRef F As Double, _
    ByRef LDF As Integer, ByRef SCAL As Double, ByRef DIF As Double, _
    ByRef WORK As Double, ByRef LWORK As Integer, ByRef IWORK As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F08YHF Lib "FLDLL224M_nag.dll" ( _
    ByVal TRANS As string, ByVal TRANSLength As Integer, ByRef IJOB As Integer, ByRef M As Integer, _
    ByRef N As Integer, ByRef A As Double, ByRef LDA As Integer, _
    ByRef B As Double, ByRef LDB As Integer, ByRef C As Double, _
    ByRef LDC As Integer, ByRef D As Double, ByRef LDD As Integer, _
    ByRef E As Double, ByRef LDE As Integer, ByRef F As Double, _
    ByRef LDF As Integer, ByRef SCAL As Double, ByRef DIF As Double, _
    ByRef WORK As Double, ByRef LWORK As Integer, ByRef IWORK As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub DTGEVC Lib "FLDLL224M_nag.dll" ( _
    ByVal SIDE As string, ByVal SIDELength As Integer, _
    ByVal HOWMNY As string, ByVal HOWMNYLength As Integer, _
    ByRef SEL As Integer, _
    ByRef N As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef B As Double, _
    ByRef LDB As Integer, _
    ByRef VL As Double, _
    ByRef LDVL As Integer, _
    ByRef VR As Double, _
    ByRef LDVR As Integer, _
    ByRef MM As Integer, _
    ByRef M As Integer, _
    ByRef WORK As Double, _
    ByRef INFO As Integer _
   )

   Declare Sub F08YKF Lib "FLDLL224M_nag.dll" ( _
    ByVal SIDE As string, ByVal SIDELength As Integer, _
    ByVal HOWMNY As string, ByVal HOWMNYLength As Integer, _
    ByRef SEL As Integer, _
    ByRef N As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef B As Double, _
    ByRef LDB As Integer, _
    ByRef VL As Double, _
    ByRef LDVL As Integer, _
    ByRef VR As Double, _
    ByRef LDVR As Integer, _
    ByRef MM As Integer, _
    ByRef M As Integer, _
    ByRef WORK As Double, _
    ByRef INFO As Integer _
   )


   Declare Sub DTGSNA Lib "FLDLL224M_nag.dll" ( _
    ByVal JOB As string, ByVal JOBLength As Integer, ByVal HOWMNY As string, ByVal HOWMNYLength As Integer, ByRef SEL As Integer, _
    ByRef N As Integer, ByRef A As Double, ByRef LDA As Integer, _
    ByRef B As Double, ByRef LDB As Integer, ByRef VL As Double, _
    ByRef LDVL As Integer, ByRef VR As Double, ByRef LDVR As Integer, _
    ByRef S As Double, ByRef DIF As Double, ByRef MM As Integer, _
    ByRef M As Integer, ByRef WORK As Double, ByRef LWORK As Integer, _
    ByRef IWORK As Integer, ByRef INFO As Integer _
   )

   Declare Sub F08YLF Lib "FLDLL224M_nag.dll" ( _
    ByVal JOB As string, ByVal JOBLength As Integer, ByVal HOWMNY As string, ByVal HOWMNYLength As Integer, ByRef SEL As Integer, _
    ByRef N As Integer, ByRef A As Double, ByRef LDA As Integer, _
    ByRef B As Double, ByRef LDB As Integer, ByRef VL As Double, _
    ByRef LDVL As Integer, ByRef VR As Double, ByRef LDVR As Integer, _
    ByRef S As Double, ByRef DIF As Double, ByRef MM As Integer, _
    ByRef M As Integer, ByRef WORK As Double, ByRef LWORK As Integer, _
    ByRef IWORK As Integer, ByRef INFO As Integer _
   )


   Declare Sub ZTGSJA Lib "FLDLL224M_nag.dll" ( _
    ByVal JOBU As string, ByVal JOBULength As Integer, ByVal JOBV As string, ByVal JOBVLength As Integer, ByVal JOBQ As string, ByVal JOBQLength As Integer, _
    ByRef M As Integer, ByRef P As Integer, ByRef N As Integer, _
    ByRef K As Integer, ByRef L As Integer, ByRef A As Complex, _
    ByRef LDA As Integer, ByRef B As Complex, ByRef LDB As Integer, _
    ByRef TOLA As Double, ByRef TOLB As Double, ByRef ALPHA As Double, _
    ByRef BETA As Double, ByRef U As Complex, ByRef LDU As Integer, _
    ByRef V As Complex, ByRef LDV As Integer, ByRef Q As Complex, _
    ByRef LDQ As Integer, ByRef WORK As Complex, ByRef NCYCLE As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F08YSF Lib "FLDLL224M_nag.dll" ( _
    ByVal JOBU As string, ByVal JOBULength As Integer, ByVal JOBV As string, ByVal JOBVLength As Integer, ByVal JOBQ As string, ByVal JOBQLength As Integer, _
    ByRef M As Integer, ByRef P As Integer, ByRef N As Integer, _
    ByRef K As Integer, ByRef L As Integer, ByRef A As Complex, _
    ByRef LDA As Integer, ByRef B As Complex, ByRef LDB As Integer, _
    ByRef TOLA As Double, ByRef TOLB As Double, ByRef ALPHA As Double, _
    ByRef BETA As Double, ByRef U As Complex, ByRef LDU As Integer, _
    ByRef V As Complex, ByRef LDV As Integer, ByRef Q As Complex, _
    ByRef LDQ As Integer, ByRef WORK As Complex, ByRef NCYCLE As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub ZTGEXC Lib "FLDLL224M_nag.dll" ( _
    ByRef WANTQ As Integer, _
    ByRef WANTZ As Integer, _
    ByRef N As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef B As Complex, _
    ByRef LDB As Integer, _
    ByRef Q As Complex, _
    ByRef LDQ As Integer, _
    ByRef Z As Complex, _
    ByRef LDZ As Integer, _
    ByRef IFST As Integer, _
    ByRef ILST As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F08YTF Lib "FLDLL224M_nag.dll" ( _
    ByRef WANTQ As Integer, _
    ByRef WANTZ As Integer, _
    ByRef N As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef B As Complex, _
    ByRef LDB As Integer, _
    ByRef Q As Complex, _
    ByRef LDQ As Integer, _
    ByRef Z As Complex, _
    ByRef LDZ As Integer, _
    ByRef IFST As Integer, _
    ByRef ILST As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub ZTGSEN Lib "FLDLL224M_nag.dll" ( _
    ByRef IJOB As Integer, ByRef WANTQ As Integer, ByRef WANTZ As Integer, _
    ByRef SEL As Integer, ByRef N As Integer, ByRef A As Complex, _
    ByRef LDA As Integer, ByRef B As Complex, ByRef LDB As Integer, _
    ByRef ALPHA As Complex, ByRef BETA As Complex, ByRef Q As Complex, _
    ByRef LDQ As Integer, ByRef Z As Complex, ByRef LDZ As Integer, _
    ByRef M As Integer, ByRef PL As Double, ByRef PR As Double, _
    ByRef DIF As Double, ByRef WORK As Complex, ByRef LWORK As Integer, _
    ByRef IWORK As Integer, ByRef LIWORK As Integer, ByRef INFO As Integer _
   )

   Declare Sub F08YUF Lib "FLDLL224M_nag.dll" ( _
    ByRef IJOB As Integer, ByRef WANTQ As Integer, ByRef WANTZ As Integer, _
    ByRef SEL As Integer, ByRef N As Integer, ByRef A As Complex, _
    ByRef LDA As Integer, ByRef B As Complex, ByRef LDB As Integer, _
    ByRef ALPHA As Complex, ByRef BETA As Complex, ByRef Q As Complex, _
    ByRef LDQ As Integer, ByRef Z As Complex, ByRef LDZ As Integer, _
    ByRef M As Integer, ByRef PL As Double, ByRef PR As Double, _
    ByRef DIF As Double, ByRef WORK As Complex, ByRef LWORK As Integer, _
    ByRef IWORK As Integer, ByRef LIWORK As Integer, ByRef INFO As Integer _
   )


   Declare Sub ZTGSYL Lib "FLDLL224M_nag.dll" ( _
    ByVal TRANS As string, ByVal TRANSLength As Integer, ByRef IJOB As Integer, ByRef M As Integer, _
    ByRef N As Integer, ByRef A As Complex, ByRef LDA As Integer, _
    ByRef B As Complex, ByRef LDB As Integer, ByRef C As Complex, _
    ByRef LDC As Integer, ByRef D As Complex, ByRef LDD As Integer, _
    ByRef E As Complex, ByRef LDE As Integer, ByRef F As Complex, _
    ByRef LDF As Integer, ByRef SCAL As Double, ByRef DIF As Double, _
    ByRef WORK As Complex, ByRef LWORK As Integer, ByRef IWORK As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F08YVF Lib "FLDLL224M_nag.dll" ( _
    ByVal TRANS As string, ByVal TRANSLength As Integer, ByRef IJOB As Integer, ByRef M As Integer, _
    ByRef N As Integer, ByRef A As Complex, ByRef LDA As Integer, _
    ByRef B As Complex, ByRef LDB As Integer, ByRef C As Complex, _
    ByRef LDC As Integer, ByRef D As Complex, ByRef LDD As Integer, _
    ByRef E As Complex, ByRef LDE As Integer, ByRef F As Complex, _
    ByRef LDF As Integer, ByRef SCAL As Double, ByRef DIF As Double, _
    ByRef WORK As Complex, ByRef LWORK As Integer, ByRef IWORK As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub ZTGEVC Lib "FLDLL224M_nag.dll" ( _
    ByVal SIDE As string, ByVal SIDELength As Integer, _
    ByVal HOWMNY As string, ByVal HOWMNYLength As Integer, _
    ByRef SEL As Integer, _
    ByRef N As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef B As Complex, _
    ByRef LDB As Integer, _
    ByRef VL As Complex, _
    ByRef LDVL As Integer, _
    ByRef VR As Complex, _
    ByRef LDVR As Integer, _
    ByRef MM As Integer, _
    ByRef M As Integer, _
    ByRef WORK As Complex, _
    ByRef RWORK As Double, _
    ByRef INFO As Integer _
   )

   Declare Sub F08YXF Lib "FLDLL224M_nag.dll" ( _
    ByVal SIDE As string, ByVal SIDELength As Integer, _
    ByVal HOWMNY As string, ByVal HOWMNYLength As Integer, _
    ByRef SEL As Integer, _
    ByRef N As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef B As Complex, _
    ByRef LDB As Integer, _
    ByRef VL As Complex, _
    ByRef LDVL As Integer, _
    ByRef VR As Complex, _
    ByRef LDVR As Integer, _
    ByRef MM As Integer, _
    ByRef M As Integer, _
    ByRef WORK As Complex, _
    ByRef RWORK As Double, _
    ByRef INFO As Integer _
   )


   Declare Sub ZTGSNA Lib "FLDLL224M_nag.dll" ( _
    ByVal JOB As string, ByVal JOBLength As Integer, ByVal HOWMNY As string, ByVal HOWMNYLength As Integer, ByRef SEL As Integer, _
    ByRef N As Integer, ByRef A As Complex, ByRef LDA As Integer, _
    ByRef B As Complex, ByRef LDB As Integer, ByRef VL As Complex, _
    ByRef LDVL As Integer, ByRef VR As Complex, ByRef LDVR As Integer, _
    ByRef S As Double, ByRef DIF As Double, ByRef MM As Integer, _
    ByRef M As Integer, ByRef WORK As Complex, ByRef LWORK As Integer, _
    ByRef IWORK As Integer, ByRef INFO As Integer _
   )

   Declare Sub F08YYF Lib "FLDLL224M_nag.dll" ( _
    ByVal JOB As string, ByVal JOBLength As Integer, ByVal HOWMNY As string, ByVal HOWMNYLength As Integer, ByRef SEL As Integer, _
    ByRef N As Integer, ByRef A As Complex, ByRef LDA As Integer, _
    ByRef B As Complex, ByRef LDB As Integer, ByRef VL As Complex, _
    ByRef LDVL As Integer, ByRef VR As Complex, ByRef LDVR As Integer, _
    ByRef S As Double, ByRef DIF As Double, ByRef MM As Integer, _
    ByRef M As Integer, ByRef WORK As Complex, ByRef LWORK As Integer, _
    ByRef IWORK As Integer, ByRef INFO As Integer _
   )


   Declare Sub DGGLSE Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef P As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef B As Double, _
    ByRef LDB As Integer, _
    ByRef C As Double, _
    ByRef D As Double, _
    ByRef X As Double, _
    ByRef WORK As Double, _
    ByRef LWORK As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F08ZAF Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef P As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef B As Double, _
    ByRef LDB As Integer, _
    ByRef C As Double, _
    ByRef D As Double, _
    ByRef X As Double, _
    ByRef WORK As Double, _
    ByRef LWORK As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub DGGGLM Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef P As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef B As Double, _
    ByRef LDB As Integer, _
    ByRef D As Double, _
    ByRef X As Double, _
    ByRef Y As Double, _
    ByRef WORK As Double, _
    ByRef LWORK As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F08ZBF Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef P As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef B As Double, _
    ByRef LDB As Integer, _
    ByRef D As Double, _
    ByRef X As Double, _
    ByRef Y As Double, _
    ByRef WORK As Double, _
    ByRef LWORK As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub DGGQRF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef M As Integer, _
    ByRef P As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef TAUA As Double, _
    ByRef B As Double, _
    ByRef LDB As Integer, _
    ByRef TAUB As Double, _
    ByRef WORK As Double, _
    ByRef LWORK As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F08ZEF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef M As Integer, _
    ByRef P As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef TAUA As Double, _
    ByRef B As Double, _
    ByRef LDB As Integer, _
    ByRef TAUB As Double, _
    ByRef WORK As Double, _
    ByRef LWORK As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub DGGRQF Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, _
    ByRef P As Integer, _
    ByRef N As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef TAUA As Double, _
    ByRef B As Double, _
    ByRef LDB As Integer, _
    ByRef TAUB As Double, _
    ByRef WORK As Double, _
    ByRef LWORK As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F08ZFF Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, _
    ByRef P As Integer, _
    ByRef N As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef TAUA As Double, _
    ByRef B As Double, _
    ByRef LDB As Integer, _
    ByRef TAUB As Double, _
    ByRef WORK As Double, _
    ByRef LWORK As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub ZGGLSE Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef P As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef B As Complex, _
    ByRef LDB As Integer, _
    ByRef C As Complex, _
    ByRef D As Complex, _
    ByRef X As Complex, _
    ByRef WORK As Complex, _
    ByRef LWORK As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F08ZNF Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef P As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef B As Complex, _
    ByRef LDB As Integer, _
    ByRef C As Complex, _
    ByRef D As Complex, _
    ByRef X As Complex, _
    ByRef WORK As Complex, _
    ByRef LWORK As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub ZGGGLM Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef P As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef B As Complex, _
    ByRef LDB As Integer, _
    ByRef D As Complex, _
    ByRef X As Complex, _
    ByRef Y As Complex, _
    ByRef WORK As Complex, _
    ByRef LWORK As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F08ZPF Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef P As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef B As Complex, _
    ByRef LDB As Integer, _
    ByRef D As Complex, _
    ByRef X As Complex, _
    ByRef Y As Complex, _
    ByRef WORK As Complex, _
    ByRef LWORK As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub ZGGQRF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef M As Integer, _
    ByRef P As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef TAUA As Complex, _
    ByRef B As Complex, _
    ByRef LDB As Integer, _
    ByRef TAUB As Complex, _
    ByRef WORK As Complex, _
    ByRef LWORK As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F08ZSF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef M As Integer, _
    ByRef P As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef TAUA As Complex, _
    ByRef B As Complex, _
    ByRef LDB As Integer, _
    ByRef TAUB As Complex, _
    ByRef WORK As Complex, _
    ByRef LWORK As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub ZGGRQF Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, _
    ByRef P As Integer, _
    ByRef N As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef TAUA As Complex, _
    ByRef B As Complex, _
    ByRef LDB As Integer, _
    ByRef TAUB As Complex, _
    ByRef WORK As Complex, _
    ByRef LWORK As Integer, _
    ByRef INFO As Integer _
   )

   Declare Sub F08ZTF Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, _
    ByRef P As Integer, _
    ByRef N As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByRef TAUA As Complex, _
    ByRef B As Complex, _
    ByRef LDB As Integer, _
    ByRef TAUB As Complex, _
    ByRef WORK As Complex, _
    ByRef LWORK As Integer, _
    ByRef INFO As Integer _
   )


   Declare Sub F11BDF Lib "FLDLL224M_nag.dll" ( _
    ByVal METHOD As string, ByVal METHODLength As Integer, _
    ByVal PRECON As string, ByVal PRECONLength As Integer, _
    ByVal NORM As string, ByVal NORMLength As Integer, _
    ByVal WEIGHT As string, ByVal WEIGHTLength As Integer, _
    ByRef ITERM As Integer, _
    ByRef N As Integer, _
    ByRef M As Integer, _
    ByRef TOL As Double, _
    ByRef MAXITN As Integer, _
    ByRef ANORM As Double, _
    ByRef SIGMAX As Double, _
    ByRef MONIT As Integer, _
    ByRef LWREQ As Integer, _
    ByRef WORK As Double, _
    ByRef LWORK As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F11BEF Lib "FLDLL224M_nag.dll" ( _
    ByRef IREVCM As Integer, _
    ByRef U As Double, _
    ByRef V As Double, _
    ByRef WGT As Double, _
    ByRef WORK As Double, _
    ByRef LWORK As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F11BFF Lib "FLDLL224M_nag.dll" ( _
    ByRef ITN As Integer, _
    ByRef STPLHS As Double, _
    ByRef STPRHS As Double, _
    ByRef ANORM As Double, _
    ByRef SIGMAX As Double, _
    ByRef WORK As Double, _
    ByRef LWORK As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F11BRF Lib "FLDLL224M_nag.dll" ( _
    ByVal METHOD As string, ByVal METHODLength As Integer, _
    ByVal PRECON As string, ByVal PRECONLength As Integer, _
    ByVal NORM As string, ByVal NORMLength As Integer, _
    ByVal WEIGHT As string, ByVal WEIGHTLength As Integer, _
    ByRef ITERM As Integer, _
    ByRef N As Integer, _
    ByRef M As Integer, _
    ByRef TOL As Double, _
    ByRef MAXITN As Integer, _
    ByRef ANORM As Double, _
    ByRef SIGMAX As Double, _
    ByRef MONIT As Integer, _
    ByRef LWREQ As Integer, _
    ByRef WORK As Complex, _
    ByRef LWORK As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F11BSF Lib "FLDLL224M_nag.dll" ( _
    ByRef IREVCM As Integer, _
    ByRef U As Complex, _
    ByRef V As Complex, _
    ByRef WGT As Double, _
    ByRef WORK As Complex, _
    ByRef LWORK As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F11BTF Lib "FLDLL224M_nag.dll" ( _
    ByRef ITN As Integer, _
    ByRef STPLHS As Double, _
    ByRef STPRHS As Double, _
    ByRef ANORM As Double, _
    ByRef SIGMAX As Double, _
    ByRef WORK As Complex, _
    ByRef LWORK As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F11DAF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef NNZ As Integer, _
    ByRef A As Double, _
    ByRef LA As Integer, _
    ByRef IROW As Integer, _
    ByRef ICOL As Integer, _
    ByRef LFILL As Integer, _
    ByRef DTOL As Double, _
    ByVal PSTRAT As string, ByVal PSTRATLength As Integer, _
    ByVal MILU As string, ByVal MILULength As Integer, _
    ByRef IPIVP As Integer, _
    ByRef IPIVQ As Integer, _
    ByRef ISTR As Integer, _
    ByRef IDIAG As Integer, _
    ByRef NNZC As Integer, _
    ByRef NPIVM As Integer, _
    ByRef IWORK As Integer, _
    ByRef LIWORK As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F11DBF Lib "FLDLL224M_nag.dll" ( _
    ByVal TRANS As string, ByVal TRANSLength As Integer, _
    ByRef N As Integer, _
    ByRef A As Double, _
    ByRef LA As Integer, _
    ByRef IROW As Integer, _
    ByRef ICOL As Integer, _
    ByRef IPIVP As Integer, _
    ByRef IPIVQ As Integer, _
    ByRef ISTR As Integer, _
    ByRef IDIAG As Integer, _
    ByVal CHECK As string, ByVal CHECKLength As Integer, _
    ByRef Y As Double, _
    ByRef X As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F11DCF Lib "FLDLL224M_nag.dll" ( _
    ByVal METHOD As string, ByVal METHODLength As Integer, ByRef N As Integer, ByRef NNZ As Integer, _
    ByRef A As Double, ByRef LA As Integer, ByRef IROW As Integer, _
    ByRef ICOL As Integer, ByRef IPIVP As Integer, ByRef IPIVQ As Integer, _
    ByRef ISTR As Integer, ByRef IDIAG As Integer, ByRef B As Double, _
    ByRef M As Integer, ByRef TOL As Double, ByRef MAXITN As Integer, _
    ByRef X As Double, ByRef RNORM As Double, ByRef ITN As Integer, _
    ByRef WORK As Double, ByRef LWORK As Integer, ByRef IFAIL As Integer _
   )


   Declare Sub F11DDF Lib "FLDLL224M_nag.dll" ( _
    ByVal TRANS As string, ByVal TRANSLength As Integer, _
    ByRef N As Integer, _
    ByRef NNZ As Integer, _
    ByRef A As Double, _
    ByRef IROW As Integer, _
    ByRef ICOL As Integer, _
    ByRef RDIAG As Double, _
    ByRef OMEGA As Double, _
    ByVal CHECK As string, ByVal CHECKLength As Integer, _
    ByRef Y As Double, _
    ByRef X As Double, _
    ByRef IWORK As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F11DEF Lib "FLDLL224M_nag.dll" ( _
    ByVal METHOD As string, ByVal METHODLength As Integer, _
    ByVal PRECON As string, ByVal PRECONLength As Integer, _
    ByRef N As Integer, _
    ByRef NNZ As Integer, _
    ByRef A As Double, _
    ByRef IROW As Integer, _
    ByRef ICOL As Integer, _
    ByRef OMEGA As Double, _
    ByRef B As Double, _
    ByRef M As Integer, _
    ByRef TOL As Double, _
    ByRef MAXITN As Integer, _
    ByRef X As Double, _
    ByRef RNORM As Double, _
    ByRef ITN As Integer, _
    ByRef WORK As Double, _
    ByRef LWORK As Integer, _
    ByRef IWORK As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F11DKF Lib "FLDLL224M_nag.dll" ( _
    ByVal STORE As string, ByVal STORELength As Integer, _
    ByVal TRANS As string, ByVal TRANSLength As Integer, _
    ByVal INIT As string, ByVal INITLength As Integer, _
    ByRef NITER As Integer, _
    ByRef N As Integer, _
    ByRef NNZ As Integer, _
    ByRef A As Double, _
    ByRef IROW As Integer, _
    ByRef ICOL As Integer, _
    ByVal CHECK As string, ByVal CHECKLength As Integer, _
    ByRef B As Double, _
    ByRef X As Double, _
    ByRef DIAG As Double, _
    ByRef WORK As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F11DNF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef NNZ As Integer, _
    ByRef A As Complex, _
    ByRef LA As Integer, _
    ByRef IROW As Integer, _
    ByRef ICOL As Integer, _
    ByRef LFILL As Integer, _
    ByRef DTOL As Double, _
    ByVal PSTRAT As string, ByVal PSTRATLength As Integer, _
    ByVal MILU As string, ByVal MILULength As Integer, _
    ByRef IPIVP As Integer, _
    ByRef IPIVQ As Integer, _
    ByRef ISTR As Integer, _
    ByRef IDIAG As Integer, _
    ByRef NNZC As Integer, _
    ByRef NPIVM As Integer, _
    ByRef IWORK As Integer, _
    ByRef LIWORK As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F11DPF Lib "FLDLL224M_nag.dll" ( _
    ByVal TRANS As string, ByVal TRANSLength As Integer, _
    ByRef N As Integer, _
    ByRef A As Complex, _
    ByRef LA As Integer, _
    ByRef IROW As Integer, _
    ByRef ICOL As Integer, _
    ByRef IPIVP As Integer, _
    ByRef IPIVQ As Integer, _
    ByRef ISTR As Integer, _
    ByRef IDIAG As Integer, _
    ByVal CHECK As string, ByVal CHECKLength As Integer, _
    ByRef Y As Complex, _
    ByRef X As Complex, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F11DQF Lib "FLDLL224M_nag.dll" ( _
    ByVal METHOD As string, ByVal METHODLength As Integer, ByRef N As Integer, ByRef NNZ As Integer, _
    ByRef A As Complex, ByRef LA As Integer, ByRef IROW As Integer, _
    ByRef ICOL As Integer, ByRef IPIVP As Integer, ByRef IPIVQ As Integer, _
    ByRef ISTR As Integer, ByRef IDIAG As Integer, ByRef B As Complex, _
    ByRef M As Integer, ByRef TOL As Double, ByRef MAXITN As Integer, _
    ByRef X As Complex, ByRef RNORM As Double, ByRef ITN As Integer, _
    ByRef WORK As Complex, ByRef LWORK As Integer, ByRef IFAIL As Integer _
   )


   Declare Sub F11DRF Lib "FLDLL224M_nag.dll" ( _
    ByVal TRANS As string, ByVal TRANSLength As Integer, _
    ByRef N As Integer, _
    ByRef NNZ As Integer, _
    ByRef A As Complex, _
    ByRef IROW As Integer, _
    ByRef ICOL As Integer, _
    ByRef RDIAG As Complex, _
    ByRef OMEGA As Double, _
    ByVal CHECK As string, ByVal CHECKLength As Integer, _
    ByRef Y As Complex, _
    ByRef X As Complex, _
    ByRef IWORK As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F11DSF Lib "FLDLL224M_nag.dll" ( _
    ByVal METHOD As string, ByVal METHODLength As Integer, _
    ByVal PRECON As string, ByVal PRECONLength As Integer, _
    ByRef N As Integer, _
    ByRef NNZ As Integer, _
    ByRef A As Complex, _
    ByRef IROW As Integer, _
    ByRef ICOL As Integer, _
    ByRef OMEGA As Double, _
    ByRef B As Complex, _
    ByRef M As Integer, _
    ByRef TOL As Double, _
    ByRef MAXITN As Integer, _
    ByRef X As Complex, _
    ByRef RNORM As Double, _
    ByRef ITN As Integer, _
    ByRef WORK As Complex, _
    ByRef LWORK As Integer, _
    ByRef IWORK As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F11DXF Lib "FLDLL224M_nag.dll" ( _
    ByVal STORE As string, ByVal STORELength As Integer, _
    ByVal TRANS As string, ByVal TRANSLength As Integer, _
    ByVal INIT As string, ByVal INITLength As Integer, _
    ByRef NITER As Integer, _
    ByRef N As Integer, _
    ByRef NNZ As Integer, _
    ByRef A As Complex, _
    ByRef IROW As Integer, _
    ByRef ICOL As Integer, _
    ByVal CHECK As string, ByVal CHECKLength As Integer, _
    ByRef B As Complex, _
    ByRef X As Complex, _
    ByRef DIAG As Complex, _
    ByRef WORK As Complex, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F11GDF Lib "FLDLL224M_nag.dll" ( _
    ByVal METHOD As string, ByVal METHODLength As Integer, _
    ByVal PRECON As string, ByVal PRECONLength As Integer, _
    ByVal SIGCMP As string, ByVal SIGCMPLength As Integer, _
    ByVal NORM As string, ByVal NORMLength As Integer, _
    ByVal WEIGHT As string, ByVal WEIGHTLength As Integer, _
    ByRef ITERM As Integer, _
    ByRef N As Integer, _
    ByRef TOL As Double, _
    ByRef MAXITN As Integer, _
    ByRef ANORM As Double, _
    ByRef SIGMAX As Double, _
    ByRef SIGTOL As Double, _
    ByRef MAXITS As Integer, _
    ByRef MONIT As Integer, _
    ByRef LWREQ As Integer, _
    ByRef WORK As Double, _
    ByRef LWORK As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F11GEF Lib "FLDLL224M_nag.dll" ( _
    ByRef IREVCM As Integer, _
    ByRef U As Double, _
    ByRef V As Double, _
    ByRef WGT As Double, _
    ByRef WORK As Double, _
    ByRef LWORK As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F11GFF Lib "FLDLL224M_nag.dll" ( _
    ByRef ITN As Integer, _
    ByRef STPLHS As Double, _
    ByRef STPRHS As Double, _
    ByRef ANORM As Double, _
    ByRef SIGMAX As Double, _
    ByRef ITS As Integer, _
    ByRef SIGERR As Double, _
    ByRef WORK As Double, _
    ByRef LWORK As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F11GRF Lib "FLDLL224M_nag.dll" ( _
    ByVal METHOD As string, ByVal METHODLength As Integer, _
    ByVal PRECON As string, ByVal PRECONLength As Integer, _
    ByVal SIGCMP As string, ByVal SIGCMPLength As Integer, _
    ByVal NORM As string, ByVal NORMLength As Integer, _
    ByVal WEIGHT As string, ByVal WEIGHTLength As Integer, _
    ByRef ITERM As Integer, _
    ByRef N As Integer, _
    ByRef TOL As Double, _
    ByRef MAXITN As Integer, _
    ByRef ANORM As Double, _
    ByRef SIGMAX As Double, _
    ByRef SIGTOL As Double, _
    ByRef MAXITS As Integer, _
    ByRef MONIT As Integer, _
    ByRef LWREQ As Integer, _
    ByRef WORK As Complex, _
    ByRef LWORK As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F11GSF Lib "FLDLL224M_nag.dll" ( _
    ByRef IREVCM As Integer, _
    ByRef U As Complex, _
    ByRef V As Complex, _
    ByRef WGT As Double, _
    ByRef WORK As Complex, _
    ByRef LWORK As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F11GTF Lib "FLDLL224M_nag.dll" ( _
    ByRef ITN As Integer, _
    ByRef STPLHS As Double, _
    ByRef STPRHS As Double, _
    ByRef ANORM As Double, _
    ByRef SIGMAX As Double, _
    ByRef ITS As Integer, _
    ByRef SIGERR As Double, _
    ByRef WORK As Complex, _
    ByRef LWORK As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F11JAF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef NNZ As Integer, _
    ByRef A As Double, _
    ByRef LA As Integer, _
    ByRef IROW As Integer, _
    ByRef ICOL As Integer, _
    ByRef LFILL As Integer, _
    ByRef DTOL As Double, _
    ByVal MIC As string, ByVal MICLength As Integer, _
    ByRef DSCALE As Double, _
    ByVal PSTRAT As string, ByVal PSTRATLength As Integer, _
    ByRef IPIV As Integer, _
    ByRef ISTR As Integer, _
    ByRef NNZC As Integer, _
    ByRef NPIVM As Integer, _
    ByRef IWORK As Integer, _
    ByRef LIWORK As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F11JBF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef A As Double, _
    ByRef LA As Integer, _
    ByRef IROW As Integer, _
    ByRef ICOL As Integer, _
    ByRef IPIV As Integer, _
    ByRef ISTR As Integer, _
    ByVal CHECK As string, ByVal CHECKLength As Integer, _
    ByRef Y As Double, _
    ByRef X As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F11JCF Lib "FLDLL224M_nag.dll" ( _
    ByVal METHOD As string, ByVal METHODLength As Integer, _
    ByRef N As Integer, _
    ByRef NNZ As Integer, _
    ByRef A As Double, _
    ByRef LA As Integer, _
    ByRef IROW As Integer, _
    ByRef ICOL As Integer, _
    ByRef IPIV As Integer, _
    ByRef ISTR As Integer, _
    ByRef B As Double, _
    ByRef TOL As Double, _
    ByRef MAXITN As Integer, _
    ByRef X As Double, _
    ByRef RNORM As Double, _
    ByRef ITN As Integer, _
    ByRef WORK As Double, _
    ByRef LWORK As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F11JDF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef NNZ As Integer, _
    ByRef A As Double, _
    ByRef IROW As Integer, _
    ByRef ICOL As Integer, _
    ByRef RDIAG As Double, _
    ByRef OMEGA As Double, _
    ByVal CHECK As string, ByVal CHECKLength As Integer, _
    ByRef Y As Double, _
    ByRef X As Double, _
    ByRef IWORK As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F11JEF Lib "FLDLL224M_nag.dll" ( _
    ByVal METHOD As string, ByVal METHODLength As Integer, _
    ByVal PRECON As string, ByVal PRECONLength As Integer, _
    ByRef N As Integer, _
    ByRef NNZ As Integer, _
    ByRef A As Double, _
    ByRef IROW As Integer, _
    ByRef ICOL As Integer, _
    ByRef OMEGA As Double, _
    ByRef B As Double, _
    ByRef TOL As Double, _
    ByRef MAXITN As Integer, _
    ByRef X As Double, _
    ByRef RNORM As Double, _
    ByRef ITN As Integer, _
    ByRef WORK As Double, _
    ByRef LWORK As Integer, _
    ByRef IWORK As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F11JNF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef NNZ As Integer, _
    ByRef A As Complex, _
    ByRef LA As Integer, _
    ByRef IROW As Integer, _
    ByRef ICOL As Integer, _
    ByRef LFILL As Integer, _
    ByRef DTOL As Double, _
    ByVal MIC As string, ByVal MICLength As Integer, _
    ByRef DSCALE As Double, _
    ByVal PSTRAT As string, ByVal PSTRATLength As Integer, _
    ByRef IPIV As Integer, _
    ByRef ISTR As Integer, _
    ByRef NNZC As Integer, _
    ByRef NPIVM As Integer, _
    ByRef IWORK As Integer, _
    ByRef LIWORK As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F11JPF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef A As Complex, _
    ByRef LA As Integer, _
    ByRef IROW As Integer, _
    ByRef ICOL As Integer, _
    ByRef IPIV As Integer, _
    ByRef ISTR As Integer, _
    ByVal CHECK As string, ByVal CHECKLength As Integer, _
    ByRef Y As Complex, _
    ByRef X As Complex, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F11JQF Lib "FLDLL224M_nag.dll" ( _
    ByVal METHOD As string, ByVal METHODLength As Integer, _
    ByRef N As Integer, _
    ByRef NNZ As Integer, _
    ByRef A As Complex, _
    ByRef LA As Integer, _
    ByRef IROW As Integer, _
    ByRef ICOL As Integer, _
    ByRef IPIV As Integer, _
    ByRef ISTR As Integer, _
    ByRef B As Complex, _
    ByRef TOL As Double, _
    ByRef MAXITN As Integer, _
    ByRef X As Complex, _
    ByRef RNORM As Double, _
    ByRef ITN As Integer, _
    ByRef WORK As Complex, _
    ByRef LWORK As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F11JRF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef NNZ As Integer, _
    ByRef A As Complex, _
    ByRef IROW As Integer, _
    ByRef ICOL As Integer, _
    ByRef RDIAG As Double, _
    ByRef OMEGA As Double, _
    ByVal CHECK As string, ByVal CHECKLength As Integer, _
    ByRef Y As Complex, _
    ByRef X As Complex, _
    ByRef IWORK As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F11JSF Lib "FLDLL224M_nag.dll" ( _
    ByVal METHOD As string, ByVal METHODLength As Integer, _
    ByVal PRECON As string, ByVal PRECONLength As Integer, _
    ByRef N As Integer, _
    ByRef NNZ As Integer, _
    ByRef A As Complex, _
    ByRef IROW As Integer, _
    ByRef ICOL As Integer, _
    ByRef OMEGA As Double, _
    ByRef B As Complex, _
    ByRef TOL As Double, _
    ByRef MAXITN As Integer, _
    ByRef X As Complex, _
    ByRef RNORM As Double, _
    ByRef ITN As Integer, _
    ByRef RDIAG As Double, _
    ByRef WORK As Complex, _
    ByRef LWORK As Integer, _
    ByRef IWORK As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F11MDF Lib "FLDLL224M_nag.dll" ( _
    ByVal SPEC As string, ByVal SPECLength As Integer, _
    ByRef N As Integer, _
    ByRef ICOLZP As Integer, _
    ByRef IROWIX As Integer, _
    ByRef IPRM As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F11MEF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef IROWIX As Integer, _
    ByRef A As Double, _
    ByRef IPRM As Integer, _
    ByRef THRESH As Double, _
    ByRef NZLMX As Integer, _
    ByRef NZLUMX As Integer, _
    ByRef NZUMX As Integer, _
    ByRef IL As Integer, _
    ByRef LVAL As Double, _
    ByRef IU As Integer, _
    ByRef UVAL As Double, _
    ByRef NNZL As Integer, _
    ByRef NNZU As Integer, _
    ByRef FLOP As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F11MFF Lib "FLDLL224M_nag.dll" ( _
    ByVal TRANS As string, ByVal TRANSLength As Integer, _
    ByRef N As Integer, _
    ByRef IPRM As Integer, _
    ByRef IL As Integer, _
    ByRef LVAL As Double, _
    ByRef IU As Integer, _
    ByRef UVAL As Double, _
    ByRef NRHS As Integer, _
    ByRef B As Double, _
    ByRef LDB As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F11MGF Lib "FLDLL224M_nag.dll" ( _
    ByVal NORM As string, ByVal NORMLength As Integer, _
    ByRef N As Integer, _
    ByRef IL As Integer, _
    ByRef LVAL As Double, _
    ByRef IU As Integer, _
    ByRef UVAL As Double, _
    ByRef ANORM As Double, _
    ByRef RCOND As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F11MHF Lib "FLDLL224M_nag.dll" ( _
    ByVal TRANS As string, ByVal TRANSLength As Integer, _
    ByRef N As Integer, _
    ByRef ICOLZP As Integer, _
    ByRef IROWIX As Integer, _
    ByRef A As Double, _
    ByRef IPRM As Integer, _
    ByRef IL As Integer, _
    ByRef LVAL As Double, _
    ByRef IU As Integer, _
    ByRef UVAL As Double, _
    ByRef NRHS As Integer, _
    ByRef B As Double, _
    ByRef LDB As Integer, _
    ByRef X As Double, _
    ByRef LDX As Integer, _
    ByRef FERR As Double, _
    ByRef BERR As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F11MKF Lib "FLDLL224M_nag.dll" ( _
    ByVal TRANS As string, ByVal TRANSLength As Integer, _
    ByRef N As Integer, _
    ByRef M As Integer, _
    ByRef ALPHA As Double, _
    ByRef ICOLZP As Integer, _
    ByRef IROWIX As Integer, _
    ByRef A As Double, _
    ByRef B As Double, _
    ByRef LDB As Integer, _
    ByRef BETA As Double, _
    ByRef C As Double, _
    ByRef LDC As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F11MLF Lib "FLDLL224M_nag.dll" ( _
    ByVal NORM As string, ByVal NORMLength As Integer, _
    ByRef ANORM As Double, _
    ByRef N As Integer, _
    ByRef ICOLZP As Integer, _
    ByRef IROWIX As Integer, _
    ByRef A As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F11MMF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef ICOLZP As Integer, _
    ByRef A As Double, _
    ByRef IPRM As Integer, _
    ByRef IL As Integer, _
    ByRef LVAL As Double, _
    ByRef IU As Integer, _
    ByRef UVAL As Double, _
    ByRef RPG As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F11XAF Lib "FLDLL224M_nag.dll" ( _
    ByVal TRANS As string, ByVal TRANSLength As Integer, _
    ByRef N As Integer, _
    ByRef NNZ As Integer, _
    ByRef A As Double, _
    ByRef IROW As Integer, _
    ByRef ICOL As Integer, _
    ByVal CHECK As string, ByVal CHECKLength As Integer, _
    ByRef X As Double, _
    ByRef Y As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F11XEF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef NNZ As Integer, _
    ByRef A As Double, _
    ByRef IROW As Integer, _
    ByRef ICOL As Integer, _
    ByVal CHECK As string, ByVal CHECKLength As Integer, _
    ByRef X As Double, _
    ByRef Y As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F11XNF Lib "FLDLL224M_nag.dll" ( _
    ByVal TRANS As string, ByVal TRANSLength As Integer, _
    ByRef N As Integer, _
    ByRef NNZ As Integer, _
    ByRef A As Complex, _
    ByRef IROW As Integer, _
    ByRef ICOL As Integer, _
    ByVal CHECK As string, ByVal CHECKLength As Integer, _
    ByRef X As Complex, _
    ByRef Y As Complex, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F11XSF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef NNZ As Integer, _
    ByRef A As Complex, _
    ByRef IROW As Integer, _
    ByRef ICOL As Integer, _
    ByVal CHECK As string, ByVal CHECKLength As Integer, _
    ByRef X As Complex, _
    ByRef Y As Complex, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F11ZAF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef NNZ As Integer, _
    ByRef A As Double, _
    ByRef IROW As Integer, _
    ByRef ICOL As Integer, _
    ByVal DUP As string, ByVal DUPLength As Integer, _
    ByVal ZERO As string, ByVal ZEROLength As Integer, _
    ByRef ISTR As Integer, _
    ByRef IWORK As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F11ZBF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef NNZ As Integer, _
    ByRef A As Double, _
    ByRef IROW As Integer, _
    ByRef ICOL As Integer, _
    ByVal DUP As string, ByVal DUPLength As Integer, _
    ByVal ZERO As string, ByVal ZEROLength As Integer, _
    ByRef ISTR As Integer, _
    ByRef IWORK As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F11ZNF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef NNZ As Integer, _
    ByRef A As Complex, _
    ByRef IROW As Integer, _
    ByRef ICOL As Integer, _
    ByVal DUP As string, ByVal DUPLength As Integer, _
    ByVal ZERO As string, ByVal ZEROLength As Integer, _
    ByRef ISTR As Integer, _
    ByRef IWORK As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F11ZPF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef NNZ As Integer, _
    ByRef A As Complex, _
    ByRef IROW As Integer, _
    ByRef ICOL As Integer, _
    ByVal DUP As string, ByVal DUPLength As Integer, _
    ByVal ZERO As string, ByVal ZEROLength As Integer, _
    ByRef ISTR As Integer, _
    ByRef IWORK As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F12AAF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef NEV As Integer, _
    ByRef NCV As Integer, _
    ByRef ICOMM As Integer, _
    ByRef LICOMM As Integer, _
    ByRef COMM As Double, _
    ByRef LCOMM As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F12ABF Lib "FLDLL224M_nag.dll" ( _
    ByRef IREVCM As Integer, _
    ByRef RESID As Double, _
    ByRef V As Double, _
    ByRef LDV As Integer, _
    ByRef X As Double, _
    ByRef MX As Double, _
    ByRef NSHIFT As Integer, _
    ByRef COMM As Double, _
    ByRef ICOMM As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F12ACF Lib "FLDLL224M_nag.dll" ( _
    ByRef NCONV As Integer, _
    ByRef DR As Double, _
    ByRef DI As Double, _
    ByRef Z As Double, _
    ByRef LDZ As Integer, _
    ByRef SIGMAR As Double, _
    ByRef SIGMAI As Double, _
    ByRef RESID As Double, _
    ByRef V As Double, _
    ByRef LDV As Integer, _
    ByRef COMM As Double, _
    ByRef ICOMM As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F12ADF Lib "FLDLL224M_nag.dll" ( _
    ByVal STR As string, ByVal STRLength As Integer, _
    ByRef ICOMM As Integer, _
    ByRef COMM As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F12AEF Lib "FLDLL224M_nag.dll" ( _
    ByRef NITER As Integer, _
    ByRef NCONV As Integer, _
    ByRef RITZR As Double, _
    ByRef RITZI As Double, _
    ByRef RZEST As Double, _
    ByRef ICOMM As Integer, _
    ByRef COMM As Double _
   )


   Declare Sub F12AFF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef NEV As Integer, _
    ByRef NCV As Integer, _
    ByRef ICOMM As Integer, _
    ByRef LICOMM As Integer, _
    ByRef COMM As Double, _
    ByRef LCOMM As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F12AGF Lib "FLDLL224M_nag.dll" ( _
    ByRef KL As Integer, _
    ByRef KU As Integer, _
    ByRef AB As Double, _
    ByRef LDAB As Integer, _
    ByRef MB As Double, _
    ByRef LDMB As Integer, _
    ByRef SIGMAR As Double, _
    ByRef SIGMAI As Double, _
    ByRef NCONV As Integer, _
    ByRef DR As Double, _
    ByRef DI As Double, _
    ByRef Z As Double, _
    ByRef LDZ As Integer, _
    ByRef RESID As Double, _
    ByRef V As Double, _
    ByRef LDV As Integer, _
    ByRef COMM As Double, _
    ByRef ICOMM As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F12ANF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef NEV As Integer, _
    ByRef NCV As Integer, _
    ByRef ICOMM As Integer, _
    ByRef LICOMM As Integer, _
    ByRef COMM As Complex, _
    ByRef LCOMM As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F12APF Lib "FLDLL224M_nag.dll" ( _
    ByRef IREVCM As Integer, _
    ByRef RESID As Complex, _
    ByRef V As Complex, _
    ByRef LDV As Integer, _
    ByRef X As Complex, _
    ByRef MX As Complex, _
    ByRef NSHIFT As Integer, _
    ByRef COMM As Complex, _
    ByRef ICOMM As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F12AQF Lib "FLDLL224M_nag.dll" ( _
    ByRef NCONV As Integer, _
    ByRef D As Complex, _
    ByRef Z As Complex, _
    ByRef LDZ As Integer, _
    ByRef SIGMA As Complex, _
    ByRef RESID As Complex, _
    ByRef V As Complex, _
    ByRef LDV As Integer, _
    ByRef COMM As Complex, _
    ByRef ICOMM As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F12ARF Lib "FLDLL224M_nag.dll" ( _
    ByVal STR As string, ByVal STRLength As Integer, _
    ByRef ICOMM As Integer, _
    ByRef COMM As Complex, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F12ASF Lib "FLDLL224M_nag.dll" ( _
    ByRef NITER As Integer, _
    ByRef NCONV As Integer, _
    ByRef RITZ As Complex, _
    ByRef RZEST As Complex, _
    ByRef ICOMM As Integer, _
    ByRef COMM As Complex _
   )


   Declare Sub F12FAF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef NEV As Integer, _
    ByRef NCV As Integer, _
    ByRef ICOMM As Integer, _
    ByRef LICOMM As Integer, _
    ByRef COMM As Double, _
    ByRef LCOMM As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F12FBF Lib "FLDLL224M_nag.dll" ( _
    ByRef IREVCM As Integer, _
    ByRef RESID As Double, _
    ByRef V As Double, _
    ByRef LDV As Integer, _
    ByRef X As Double, _
    ByRef MX As Double, _
    ByRef NSHIFT As Integer, _
    ByRef COMM As Double, _
    ByRef ICOMM As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F12FCF Lib "FLDLL224M_nag.dll" ( _
    ByRef NCONV As Integer, _
    ByRef D As Double, _
    ByRef Z As Double, _
    ByRef LDZ As Integer, _
    ByRef SIGMA As Double, _
    ByRef RESID As Double, _
    ByRef V As Double, _
    ByRef LDV As Integer, _
    ByRef COMM As Double, _
    ByRef ICOMM As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F12FDF Lib "FLDLL224M_nag.dll" ( _
    ByVal STR As string, ByVal STRLength As Integer, _
    ByRef ICOMM As Integer, _
    ByRef COMM As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F12FEF Lib "FLDLL224M_nag.dll" ( _
    ByRef NITER As Integer, _
    ByRef NCONV As Integer, _
    ByRef RITZ As Double, _
    ByRef RZEST As Double, _
    ByRef ICOMM As Integer, _
    ByRef COMM As Double _
   )


   Declare Sub F12FFF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef NEV As Integer, _
    ByRef NCV As Integer, _
    ByRef ICOMM As Integer, _
    ByRef LICOMM As Integer, _
    ByRef COMM As Double, _
    ByRef LCOMM As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub F12FGF Lib "FLDLL224M_nag.dll" ( _
    ByRef KL As Integer, _
    ByRef KU As Integer, _
    ByRef AB As Double, _
    ByRef LDAB As Integer, _
    ByRef MB As Double, _
    ByRef LDMB As Integer, _
    ByRef SIGMA As Double, _
    ByRef NCONV As Integer, _
    ByRef D As Double, _
    ByRef Z As Double, _
    ByRef LDZ As Integer, _
    ByRef RESID As Double, _
    ByRef V As Double, _
    ByRef LDV As Integer, _
    ByRef COMM As Double, _
    ByRef ICOMM As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Function F16DLF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef X As Integer, _
    ByRef INCX As Integer _
   ) as Integer


   Declare Sub F16DNF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef X As Integer, _
    ByRef INCX As Integer, _
    ByRef K As Integer, _
    ByRef I As Integer _
   )


   Declare Sub F16DPF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef X As Integer, _
    ByRef INCX As Integer, _
    ByRef K As Integer, _
    ByRef I As Integer _
   )


   Declare Sub F16DQF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef X As Integer, _
    ByRef INCX As Integer, _
    ByRef K As Integer, _
    ByRef I As Integer _
   )


   Declare Sub F16DRF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef X As Integer, _
    ByRef INCX As Integer, _
    ByRef K As Integer, _
    ByRef I As Integer _
   )


   Declare Sub BLAS_DWAXPBY Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef ALPHA As Double, _
    ByRef X As Double, _
    ByRef INCX As Integer, _
    ByRef BETA As Double, _
    ByRef Y As Double, _
    ByRef INCY As Integer, _
    ByRef W As Double, _
    ByRef INCW As Integer _
   )

   Declare Sub F16EHF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef ALPHA As Double, _
    ByRef X As Double, _
    ByRef INCX As Integer, _
    ByRef BETA As Double, _
    ByRef Y As Double, _
    ByRef INCY As Integer, _
    ByRef W As Double, _
    ByRef INCW As Integer _
   )


   Declare Function BLAS_DSUM Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef X As Double, _
    ByRef INCX As Integer _
   ) as Double

   Declare Function F16ELF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef X As Double, _
    ByRef INCX As Integer _
   ) as Double


   Declare Sub BLAS_ZWAXPBY Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef ALPHA As Complex, _
    ByRef X As Complex, _
    ByRef INCX As Integer, _
    ByRef BETA As Complex, _
    ByRef Y As Complex, _
    ByRef INCY As Integer, _
    ByRef W As Complex, _
    ByRef INCW As Integer _
   )

   Declare Sub F16GHF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef ALPHA As Complex, _
    ByRef X As Complex, _
    ByRef INCX As Integer, _
    ByRef BETA As Complex, _
    ByRef Y As Complex, _
    ByRef INCY As Integer, _
    ByRef W As Complex, _
    ByRef INCW As Integer _
   )


   Declare Function BLAS_ZSUM Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef X As Complex, _
    ByRef INCX As Integer _
   ) as Complex

   Declare Function F16GLF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef X As Complex, _
    ByRef INCX As Integer _
   ) as Complex


   Declare Sub BLAS_DMAX_VAL Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef X As Double, _
    ByRef INCX As Integer, _
    ByRef K As Integer, _
    ByRef R As Double _
   )

   Declare Sub F16JNF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef X As Double, _
    ByRef INCX As Integer, _
    ByRef K As Integer, _
    ByRef R As Double _
   )


   Declare Sub BLAS_DMIN_VAL Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef X As Double, _
    ByRef INCX As Integer, _
    ByRef K As Integer, _
    ByRef R As Double _
   )

   Declare Sub F16JPF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef X As Double, _
    ByRef INCX As Integer, _
    ByRef K As Integer, _
    ByRef R As Double _
   )


   Declare Sub BLAS_DAMAX_VAL Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef X As Double, _
    ByRef INCX As Integer, _
    ByRef K As Integer, _
    ByRef R As Double _
   )

   Declare Sub F16JQF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef X As Double, _
    ByRef INCX As Integer, _
    ByRef K As Integer, _
    ByRef R As Double _
   )


   Declare Sub BLAS_DAMIN_VAL Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef X As Double, _
    ByRef INCX As Integer, _
    ByRef K As Integer, _
    ByRef R As Double _
   )

   Declare Sub F16JRF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef X As Double, _
    ByRef INCX As Integer, _
    ByRef K As Integer, _
    ByRef R As Double _
   )


   Declare Sub BLAS_ZAMAX_VAL Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef X As Complex, _
    ByRef INCX As Integer, _
    ByRef K As Integer, _
    ByRef R As Double _
   )

   Declare Sub F16JSF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef X As Complex, _
    ByRef INCX As Integer, _
    ByRef K As Integer, _
    ByRef R As Double _
   )


   Declare Sub BLAS_ZAMIN_VAL Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef X As Complex, _
    ByRef INCX As Integer, _
    ByRef K As Integer, _
    ByRef R As Double _
   )

   Declare Sub F16JTF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef X As Complex, _
    ByRef INCX As Integer, _
    ByRef K As Integer, _
    ByRef R As Double _
   )


   Declare Sub G01AAF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef X As Double, _
    ByRef IWT As Integer, _
    ByRef WT As Double, _
    ByRef XMEAN As Double, _
    ByRef S2 As Double, _
    ByRef S3 As Double, _
    ByRef S4 As Double, _
    ByRef XMIN As Double, _
    ByRef XMAX As Double, _
    ByRef WTSUM As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G01ABF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef X1 As Double, _
    ByRef X2 As Double, _
    ByRef IWT As Integer, _
    ByRef WT As Double, _
    ByRef RES As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G01ADF Lib "FLDLL224M_nag.dll" ( _
    ByRef K As Integer, _
    ByRef X As Double, _
    ByRef IFREQ As Integer, _
    ByRef XMEAN As Double, _
    ByRef S2 As Double, _
    ByRef S3 As Double, _
    ByRef S4 As Double, _
    ByRef N As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G01AEF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef K As Integer, _
    ByRef X As Double, _
    ByRef ICLASS As Integer, _
    ByRef CB As Double, _
    ByRef IFREQ As Integer, _
    ByRef XMIN As Double, _
    ByRef XMAX As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G01AFF Lib "FLDLL224M_nag.dll" ( _
    ByRef LDNOB As Integer, _
    ByRef LDPRED As Integer, _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef NOBS As Integer, _
    ByRef NUM As Integer, _
    ByRef PRED As Double, _
    ByRef CHIS As Double, _
    ByRef P As Double, _
    ByRef NPOS As Integer, _
    ByRef NDF As Integer, _
    ByRef M1 As Integer, _
    ByRef N1 As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G01AGF Lib "FLDLL224M_nag.dll" ( _
    ByRef X As Double, _
    ByRef Y As Double, _
    ByRef NOBS As Integer, _
    ByRef ISORT As Integer, _
    ByRef NSTEPX As Integer, _
    ByRef NSTEPY As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G01AHF Lib "FLDLL224M_nag.dll" ( _
    ByRef X As Double, _
    ByRef NOBS As Integer, _
    ByRef NSTEPX As Integer, _
    ByRef NSTEPY As Integer, _
    ByRef ISTAND As Integer, _
    ByRef IWORK As Integer, _
    ByRef WORK As Double, _
    ByRef LWORK As Integer, _
    ByRef XSORT As Double, _
    ByRef XBAR As Double, _
    ByRef XSTD As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G01AJF Lib "FLDLL224M_nag.dll" ( _
    ByRef X As Double, _
    ByRef N As Integer, _
    ByRef NSTEPX As Integer, _
    ByRef NSTEPY As Integer, _
    ByRef ITYPE As Integer, _
    ByRef ISPACE As Integer, _
    ByRef XMIN As Double, _
    ByRef XMAX As Double, _
    ByRef XSTEP As Double, _
    ByRef N1 As Integer, _
    ByRef MULTY As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G01ALF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef X As Double, _
    ByRef IWRK As Integer, _
    ByRef RES As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G01AMF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef RV As Double, _
    ByRef NQ As Integer, _
    ByRef Q As Double, _
    ByRef QV As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G01ARF Lib "FLDLL224M_nag.dll" ( _
    ByVal RANGE As string, ByVal RANGELength As Integer, _
    ByVal PRT As string, ByVal PRTLength As Integer, _
    ByRef N As Integer, _
    ByRef Y As Double, _
    ByRef NSTEPX As Integer, _
    ByRef NSTEPY As Integer, _
    ByRef UNIT As Double, _
    ByVal PLOT As string, ByVal PLOTLength As Integer, _
    ByRef LDPLOT As Integer, _
    ByRef LINES As Integer, _
    ByRef SORTY As Double, _
    ByRef IWORK As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G01ASF Lib "FLDLL224M_nag.dll" ( _
    ByVal PRT As string, ByVal PRTLength As Integer, _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef X As Double, _
    ByRef LDX As Integer, _
    ByRef NSTEPX As Integer, _
    ByRef NSTEPY As Integer, _
    ByVal PLOT As string, ByVal PLOTLength As Integer, _
    ByRef LDPLOT As Integer, _
    ByRef WORK As Double, _
    ByRef IWORK As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G01BJF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef P As Double, _
    ByRef K As Integer, _
    ByRef PLEK As Double, _
    ByRef PGTK As Double, _
    ByRef PEQK As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G01BKF Lib "FLDLL224M_nag.dll" ( _
    ByRef RLAMDA As Double, _
    ByRef K As Integer, _
    ByRef PLEK As Double, _
    ByRef PGTK As Double, _
    ByRef PEQK As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G01BLF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef L As Integer, _
    ByRef M As Integer, _
    ByRef K As Integer, _
    ByRef PLEK As Double, _
    ByRef PGTK As Double, _
    ByRef PEQK As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G01DAF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef PP As Double, _
    ByRef ETOL As Double, _
    ByRef ERREST As Double, _
    ByRef WORK As Double, _
    ByRef IW As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G01DBF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef PP As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G01DCF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef EXP1 As Double, _
    ByRef EXP2 As Double, _
    ByRef SUMSSQ As Double, _
    ByRef VEC As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G01DDF Lib "FLDLL224M_nag.dll" ( _
    ByRef X As Double, _
    ByRef N As Integer, _
    ByRef CALWTS As Integer, _
    ByRef A As Double, _
    ByRef W As Double, _
    ByRef PW As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G01DHF Lib "FLDLL224M_nag.dll" ( _
    ByVal SCORES As string, ByVal SCORESLength As Integer, _
    ByVal TIES As string, ByVal TIESLength As Integer, _
    ByRef N As Integer, _
    ByRef X As Double, _
    ByRef R As Double, _
    ByRef IWRK As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Function G01EAF Lib "FLDLL224M_nag.dll" ( _
    ByVal TAIL As string, ByVal TAILLength As Integer, _
    ByRef X As Double, _
    ByRef IFAIL As Integer _
   ) as Double


   Declare Function G01EBF Lib "FLDLL224M_nag.dll" ( _
    ByVal TAIL As string, ByVal TAILLength As Integer, _
    ByRef T As Double, _
    ByRef DF As Double, _
    ByRef IFAIL As Integer _
   ) as Double


   Declare Function G01ECF Lib "FLDLL224M_nag.dll" ( _
    ByVal TAIL As string, ByVal TAILLength As Integer, _
    ByRef X As Double, _
    ByRef DF As Double, _
    ByRef IFAIL As Integer _
   ) as Double


   Declare Function G01EDF Lib "FLDLL224M_nag.dll" ( _
    ByVal TAIL As string, ByVal TAILLength As Integer, _
    ByRef F As Double, _
    ByRef DF1 As Double, _
    ByRef DF2 As Double, _
    ByRef IFAIL As Integer _
   ) as Double


   Declare Sub G01EEF Lib "FLDLL224M_nag.dll" ( _
    ByRef X As Double, _
    ByRef A As Double, _
    ByRef B As Double, _
    ByRef TOL As Double, _
    ByRef P As Double, _
    ByRef Q As Double, _
    ByRef PDF As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Function G01EFF Lib "FLDLL224M_nag.dll" ( _
    ByVal TAIL As string, ByVal TAILLength As Integer, _
    ByRef G As Double, _
    ByRef A As Double, _
    ByRef B As Double, _
    ByRef IFAIL As Integer _
   ) as Double


   Declare Function G01EMF Lib "FLDLL224M_nag.dll" ( _
    ByRef Q As Double, _
    ByRef V As Double, _
    ByRef IR As Integer, _
    ByRef IFAIL As Integer _
   ) as Double


   Declare Sub G01EPF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef IP As Integer, _
    ByRef D As Double, _
    ByRef PDL As Double, _
    ByRef PDU As Double, _
    ByRef WORK As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Function G01ERF Lib "FLDLL224M_nag.dll" ( _
    ByRef T As Double, _
    ByRef VK As Double, _
    ByRef IFAIL As Integer _
   ) as Double


   Declare Function G01ETF Lib "FLDLL224M_nag.dll" ( _
    ByRef X As Double _
   ) as Double


   Declare Function G01EUF Lib "FLDLL224M_nag.dll" ( _
    ByRef X As Double, _
    ByRef WORK As Double, _
    ByRef IFAIL As Integer _
   ) as Double


   Declare Function G01EYF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef D As Double, _
    ByRef IFAIL As Integer _
   ) as Double


   Declare Function G01EZF Lib "FLDLL224M_nag.dll" ( _
    ByRef N1 As Integer, _
    ByRef N2 As Integer, _
    ByRef D As Double, _
    ByRef IFAIL As Integer _
   ) as Double


   Declare Function G01FAF Lib "FLDLL224M_nag.dll" ( _
    ByVal TAIL As string, ByVal TAILLength As Integer, _
    ByRef P As Double, _
    ByRef IFAIL As Integer _
   ) as Double


   Declare Function G01FBF Lib "FLDLL224M_nag.dll" ( _
    ByVal TAIL As string, ByVal TAILLength As Integer, _
    ByRef P As Double, _
    ByRef DF As Double, _
    ByRef IFAIL As Integer _
   ) as Double


   Declare Function G01FCF Lib "FLDLL224M_nag.dll" ( _
    ByRef P As Double, _
    ByRef DF As Double, _
    ByRef IFAIL As Integer _
   ) as Double


   Declare Function G01FDF Lib "FLDLL224M_nag.dll" ( _
    ByRef P As Double, _
    ByRef DF1 As Double, _
    ByRef DF2 As Double, _
    ByRef IFAIL As Integer _
   ) as Double


   Declare Function G01FEF Lib "FLDLL224M_nag.dll" ( _
    ByRef P As Double, _
    ByRef A As Double, _
    ByRef B As Double, _
    ByRef TOL As Double, _
    ByRef IFAIL As Integer _
   ) as Double


   Declare Function G01FFF Lib "FLDLL224M_nag.dll" ( _
    ByRef P As Double, _
    ByRef A As Double, _
    ByRef B As Double, _
    ByRef TOL As Double, _
    ByRef IFAIL As Integer _
   ) as Double


   Declare Function G01FMF Lib "FLDLL224M_nag.dll" ( _
    ByRef P As Double, _
    ByRef V As Double, _
    ByRef IR As Integer, _
    ByRef IFAIL As Integer _
   ) as Double


   Declare Function G01FTF Lib "FLDLL224M_nag.dll" ( _
    ByRef X As Double, _
    ByRef IFAIL As Integer _
   ) as Double


   Declare Function G01GBF Lib "FLDLL224M_nag.dll" ( _
    ByRef T As Double, _
    ByRef DF As Double, _
    ByRef DELTA As Double, _
    ByRef TOL As Double, _
    ByRef MAXIT As Integer, _
    ByRef IFAIL As Integer _
   ) as Double


   Declare Function G01GCF Lib "FLDLL224M_nag.dll" ( _
    ByRef X As Double, _
    ByRef DF As Double, _
    ByRef RLAMDA As Double, _
    ByRef TOL As Double, _
    ByRef MAXIT As Integer, _
    ByRef IFAIL As Integer _
   ) as Double


   Declare Function G01GDF Lib "FLDLL224M_nag.dll" ( _
    ByRef F As Double, _
    ByRef DF1 As Double, _
    ByRef DF2 As Double, _
    ByRef RLAMDA As Double, _
    ByRef TOL As Double, _
    ByRef MAXIT As Integer, _
    ByRef IFAIL As Integer _
   ) as Double


   Declare Function G01GEF Lib "FLDLL224M_nag.dll" ( _
    ByRef X As Double, _
    ByRef A As Double, _
    ByRef B As Double, _
    ByRef RLAMDA As Double, _
    ByRef TOL As Double, _
    ByRef MAXIT As Integer, _
    ByRef IFAIL As Integer _
   ) as Double


   Declare Function G01HAF Lib "FLDLL224M_nag.dll" ( _
    ByRef X As Double, _
    ByRef Y As Double, _
    ByRef RHO As Double, _
    ByRef IFAIL As Integer _
   ) as Double


   Declare Function G01HBF Lib "FLDLL224M_nag.dll" ( _
    ByVal TAIL As string, ByVal TAILLength As Integer, _
    ByRef N As Integer, _
    ByRef A As Double, _
    ByRef B As Double, _
    ByRef XMU As Double, _
    ByRef SIG As Double, _
    ByRef LDSIG As Integer, _
    ByRef TOL As Double, _
    ByRef WK As Double, _
    ByRef LWK As Integer, _
    ByRef IFAIL As Integer _
   ) as Double


   Declare Sub G01JCF Lib "FLDLL224M_nag.dll" ( _
    ByRef A As Double, _
    ByRef MULT As Integer, _
    ByRef RLAMDA As Double, _
    ByRef N As Integer, _
    ByRef C As Double, _
    ByRef P As Double, _
    ByRef PDF As Double, _
    ByRef TOL As Double, _
    ByRef MAXIT As Integer, _
    ByRef WRK As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G01JDF Lib "FLDLL224M_nag.dll" ( _
    ByVal METHOD As string, ByVal METHODLength As Integer, _
    ByRef N As Integer, _
    ByRef RLAM As Double, _
    ByRef D As Double, _
    ByRef C As Double, _
    ByRef PROB As Double, _
    ByRef WORK As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Function G01MBF Lib "FLDLL224M_nag.dll" ( _
    ByRef X As Double _
   ) as Double


   Declare Function G01MTF Lib "FLDLL224M_nag.dll" ( _
    ByRef X As Double _
   ) as Double


   Declare Function G01MUF Lib "FLDLL224M_nag.dll" ( _
    ByRef X As Double, _
    ByRef WORK As Double, _
    ByRef IFAIL As Integer _
   ) as Double


   Declare Sub G01NAF Lib "FLDLL224M_nag.dll" ( _
    ByVal MOM As string, ByVal MOMLength As Integer, _
    ByVal MEAN As string, ByVal MEANLength As Integer, _
    ByRef N As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef EMU As Double, _
    ByRef SIGMA As Double, _
    ByRef LDSIG As Integer, _
    ByRef L As Integer, _
    ByRef RKUM As Double, _
    ByRef RMOM As Double, _
    ByRef WK As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G01NBF Lib "FLDLL224M_nag.dll" ( _
    ByVal CAS As string, ByVal CASLength As Integer, ByVal MEAN As string, ByVal MEANLength As Integer, ByRef N As Integer, _
    ByRef A As Double, ByRef LDA As Integer, ByRef B As Double, _
    ByRef LDB As Integer, ByRef C As Double, ByRef LDC As Integer, _
    ByRef ELA As Double, ByRef EMU As Double, ByRef SIGMA As Double, _
    ByRef LDSIG As Integer, ByRef L1 As Integer, ByRef L2 As Integer, _
    ByRef LMAX As Integer, ByRef RMOM As Double, ByRef ABSERR As Double, _
    ByRef EPS As Double, ByRef WK As Double, ByRef IFAIL As Integer _
   )


   Declare Function G01PTF Lib "FLDLL224M_nag.dll" ( _
    ByRef X As Double _
   ) as Double


   Declare Function G01QTF Lib "FLDLL224M_nag.dll" ( _
    ByRef X As Double _
   ) as Double


   Declare Function G01RTF Lib "FLDLL224M_nag.dll" ( _
    ByRef X As Double _
   ) as Double


   Declare Sub G01ZUF Lib "FLDLL224M_nag.dll" ( _
    ByRef RKAPPA As Double, _
    ByRef BETA2 As Double, _
    ByRef MODE As Integer, _
    ByRef XL As Double, _
    ByRef XU As Double, _
    ByRef WORK As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G02AAF Lib "FLDLL224M_nag.dll" ( _
    ByRef G As Double, _
    ByRef LDG As Integer, _
    ByRef N As Integer, _
    ByRef ERRTOL As Double, _
    ByRef MAXITS As Integer, _
    ByRef MAXIT As Integer, _
    ByRef X As Double, _
    ByRef LDX As Integer, _
    ByRef ITER As Integer, _
    ByRef FEVAL As Integer, _
    ByRef NRMGRD As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G02BAF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef M As Integer, _
    ByRef X As Double, _
    ByRef LDX As Integer, _
    ByRef XBAR As Double, _
    ByRef STD As Double, _
    ByRef SSP As Double, _
    ByRef LDSSP As Integer, _
    ByRef R As Double, _
    ByRef LDR As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G02BBF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef M As Integer, _
    ByRef X As Double, _
    ByRef LDX As Integer, _
    ByRef MISS As Integer, _
    ByRef XMISS As Double, _
    ByRef XBAR As Double, _
    ByRef STD As Double, _
    ByRef SSP As Double, _
    ByRef LDSSP As Integer, _
    ByRef R As Double, _
    ByRef LDR As Integer, _
    ByRef NCASES As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G02BCF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef M As Integer, _
    ByRef X As Double, _
    ByRef LDX As Integer, _
    ByRef MISS As Integer, _
    ByRef XMISS As Double, _
    ByRef XBAR As Double, _
    ByRef STD As Double, _
    ByRef SSP As Double, _
    ByRef LDSSP As Integer, _
    ByRef R As Double, _
    ByRef LDR As Integer, _
    ByRef NCASES As Integer, _
    ByRef CNT As Double, _
    ByRef LDCNT As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G02BDF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef M As Integer, _
    ByRef X As Double, _
    ByRef LDX As Integer, _
    ByRef XBAR As Double, _
    ByRef STD As Double, _
    ByRef SSPZ As Double, _
    ByRef LDSSPZ As Integer, _
    ByRef RZ As Double, _
    ByRef LDRZ As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G02BEF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef M As Integer, _
    ByRef X As Double, _
    ByRef LDX As Integer, _
    ByRef MISS As Integer, _
    ByRef XMISS As Double, _
    ByRef XBAR As Double, _
    ByRef STD As Double, _
    ByRef SSPZ As Double, _
    ByRef LDSSPZ As Integer, _
    ByRef RZ As Double, _
    ByRef LDRZ As Integer, _
    ByRef NCASES As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G02BFF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef M As Integer, _
    ByRef X As Double, _
    ByRef LDX As Integer, _
    ByRef MISS As Integer, _
    ByRef XMISS As Double, _
    ByRef XBAR As Double, _
    ByRef STD As Double, _
    ByRef SSPZ As Double, _
    ByRef LDSSPZ As Integer, _
    ByRef RZ As Double, _
    ByRef LDRZ As Integer, _
    ByRef NCASES As Integer, _
    ByRef CNT As Double, _
    ByRef LDCNT As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G02BGF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef M As Integer, _
    ByRef X As Double, _
    ByRef LDX As Integer, _
    ByRef NVARS As Integer, _
    ByRef KVAR As Integer, _
    ByRef XBAR As Double, _
    ByRef STD As Double, _
    ByRef SSP As Double, _
    ByRef LDSSP As Integer, _
    ByRef R As Double, _
    ByRef LDR As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G02BHF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef M As Integer, _
    ByRef X As Double, _
    ByRef LDX As Integer, _
    ByRef MISS As Integer, _
    ByRef XMISS As Double, _
    ByRef MISTYP As Integer, _
    ByRef NVARS As Integer, _
    ByRef KVAR As Integer, _
    ByRef XBAR As Double, _
    ByRef STD As Double, _
    ByRef SSP As Double, _
    ByRef LDSSP As Integer, _
    ByRef R As Double, _
    ByRef LDR As Integer, _
    ByRef NCASES As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G02BJF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef M As Integer, _
    ByRef X As Double, _
    ByRef LDX As Integer, _
    ByRef MISS As Integer, _
    ByRef XMISS As Double, _
    ByRef NVARS As Integer, _
    ByRef KVAR As Integer, _
    ByRef XBAR As Double, _
    ByRef STD As Double, _
    ByRef SSP As Double, _
    ByRef LDSSP As Integer, _
    ByRef R As Double, _
    ByRef LDR As Integer, _
    ByRef NCASES As Integer, _
    ByRef CNT As Double, _
    ByRef LDCNT As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G02BKF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef M As Integer, _
    ByRef X As Double, _
    ByRef LDX As Integer, _
    ByRef NVARS As Integer, _
    ByRef KVAR As Integer, _
    ByRef XBAR As Double, _
    ByRef STD As Double, _
    ByRef SSPZ As Double, _
    ByRef LDSSPZ As Integer, _
    ByRef RZ As Double, _
    ByRef LDRZ As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G02BLF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef M As Integer, _
    ByRef X As Double, _
    ByRef LDX As Integer, _
    ByRef MISS As Integer, _
    ByRef XMISS As Double, _
    ByRef MISTYP As Integer, _
    ByRef NVARS As Integer, _
    ByRef KVAR As Integer, _
    ByRef XBAR As Double, _
    ByRef STD As Double, _
    ByRef SSPZ As Double, _
    ByRef LDSSPZ As Integer, _
    ByRef RZ As Double, _
    ByRef LDRZ As Integer, _
    ByRef NCASES As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G02BMF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef M As Integer, _
    ByRef X As Double, _
    ByRef LDX As Integer, _
    ByRef MISS As Integer, _
    ByRef XMISS As Double, _
    ByRef NVARS As Integer, _
    ByRef KVAR As Integer, _
    ByRef XBAR As Double, _
    ByRef STD As Double, _
    ByRef SSPZ As Double, _
    ByRef LDSSPZ As Integer, _
    ByRef RZ As Double, _
    ByRef LDRZ As Integer, _
    ByRef NCASES As Integer, _
    ByRef CNT As Double, _
    ByRef LDCNT As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G02BNF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef M As Integer, _
    ByRef X As Double, _
    ByRef LDX As Integer, _
    ByRef ITYPE As Integer, _
    ByRef RR As Double, _
    ByRef LDRR As Integer, _
    ByRef KWORKA As Integer, _
    ByRef KWORKB As Integer, _
    ByRef WORK1 As Double, _
    ByRef WORK2 As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G02BPF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef M As Integer, _
    ByRef X As Double, _
    ByRef LDX As Integer, _
    ByRef MISS As Integer, _
    ByRef XMISS As Double, _
    ByRef ITYPE As Integer, _
    ByRef RR As Double, _
    ByRef LDRR As Integer, _
    ByRef NCASES As Integer, _
    ByRef INCASE As Integer, _
    ByRef KWORKA As Integer, _
    ByRef KWORKB As Integer, _
    ByRef KWORKC As Integer, _
    ByRef WORK1 As Double, _
    ByRef WORK2 As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G02BQF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef M As Integer, _
    ByRef X As Double, _
    ByRef LDX As Integer, _
    ByRef ITYPE As Integer, _
    ByRef RR As Double, _
    ByRef LDRR As Integer, _
    ByRef KWORKA As Integer, _
    ByRef KWORKB As Integer, _
    ByRef WORK1 As Double, _
    ByRef WORK2 As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G02BRF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef M As Integer, _
    ByRef X As Double, _
    ByRef LDX As Integer, _
    ByRef MISS As Integer, _
    ByRef XMISS As Double, _
    ByRef ITYPE As Integer, _
    ByRef RR As Double, _
    ByRef LDRR As Integer, _
    ByRef NCASES As Integer, _
    ByRef INCASE As Integer, _
    ByRef KWORKA As Integer, _
    ByRef KWORKB As Integer, _
    ByRef KWORKC As Integer, _
    ByRef WORK1 As Double, _
    ByRef WORK2 As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G02BSF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef M As Integer, _
    ByRef X As Double, _
    ByRef LDX As Integer, _
    ByRef MISS As Integer, _
    ByRef XMISS As Double, _
    ByRef ITYPE As Integer, _
    ByRef RR As Double, _
    ByRef LDRR As Integer, _
    ByRef NCASES As Integer, _
    ByRef CNT As Double, _
    ByRef LDCNT As Integer, _
    ByRef KWORKA As Integer, _
    ByRef KWORKB As Integer, _
    ByRef KWORKC As Integer, _
    ByRef KWORKD As Integer, _
    ByRef WORK1 As Double, _
    ByRef WORK2 As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G02BTF Lib "FLDLL224M_nag.dll" ( _
    ByVal MEAN As string, ByVal MEANLength As Integer, _
    ByRef M As Integer, _
    ByRef WT As Double, _
    ByRef X As Double, _
    ByRef INCX As Integer, _
    ByRef SW As Double, _
    ByRef XBAR As Double, _
    ByRef C As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G02BUF Lib "FLDLL224M_nag.dll" ( _
    ByVal MEAN As string, ByVal MEANLength As Integer, _
    ByVal WEIGHT As string, ByVal WEIGHTLength As Integer, _
    ByRef N As Integer, _
    ByRef M As Integer, _
    ByRef X As Double, _
    ByRef LDX As Integer, _
    ByRef WT As Double, _
    ByRef SW As Double, _
    ByRef WMEAN As Double, _
    ByRef C As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G02BWF Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, _
    ByRef R As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G02BXF Lib "FLDLL224M_nag.dll" ( _
    ByVal WEIGHT As string, ByVal WEIGHTLength As Integer, _
    ByRef N As Integer, _
    ByRef M As Integer, _
    ByRef X As Double, _
    ByRef LDX As Integer, _
    ByRef WT As Double, _
    ByRef XBAR As Double, _
    ByRef STD As Double, _
    ByRef V As Double, _
    ByRef LDV As Integer, _
    ByRef R As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G02BYF Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, _
    ByRef NY As Integer, _
    ByRef NX As Integer, _
    ByRef ISZ As Integer, _
    ByRef R As Double, _
    ByRef LDR As Integer, _
    ByRef P As Double, _
    ByRef LDP As Integer, _
    ByRef WK As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G02CAF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef X As Double, _
    ByRef Y As Double, _
    ByRef RESULT As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G02CBF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef X As Double, _
    ByRef Y As Double, _
    ByRef RESULT As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G02CCF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef X As Double, _
    ByRef Y As Double, _
    ByRef XMISS As Double, _
    ByRef YMISS As Double, _
    ByRef RESULT As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G02CDF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef X As Double, _
    ByRef Y As Double, _
    ByRef XMISS As Double, _
    ByRef YMISS As Double, _
    ByRef RESULT As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G02CEF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef XBAR As Double, _
    ByRef STD As Double, _
    ByRef SSP As Double, _
    ByRef LDSSP As Integer, _
    ByRef R As Double, _
    ByRef LDR As Integer, _
    ByRef M As Integer, _
    ByRef KORDER As Integer, _
    ByRef XBAR2 As Double, _
    ByRef STD2 As Double, _
    ByRef SSP2 As Double, _
    ByRef LDSSP2 As Integer, _
    ByRef R2 As Double, _
    ByRef LDR2 As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G02CFF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef KORDER As Integer, _
    ByRef XBAR As Double, _
    ByRef STD As Double, _
    ByRef SSP As Double, _
    ByRef LDSSP As Integer, _
    ByRef R As Double, _
    ByRef LDR As Integer, _
    ByRef KWORK As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G02CGF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef K1 As Integer, _
    ByRef K As Integer, _
    ByRef XBAR As Double, _
    ByRef SSP As Double, _
    ByRef LDSSP As Integer, _
    ByRef R As Double, _
    ByRef LDR As Integer, _
    ByRef RESULT As Double, _
    ByRef COEF As Double, _
    ByRef LDCOEF As Integer, _
    ByRef CON As Double, _
    ByRef RINV As Double, _
    ByRef LDRINV As Integer, _
    ByRef C As Double, _
    ByRef LDC As Integer, _
    ByRef WKZ As Double, _
    ByRef LDWKZ As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G02CHF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef K1 As Integer, _
    ByRef K As Integer, _
    ByRef SSPZ As Double, _
    ByRef LDSSPZ As Integer, _
    ByRef RZ As Double, _
    ByRef LDRZ As Integer, _
    ByRef RESULT As Double, _
    ByRef COEF As Double, _
    ByRef LDCOEF As Integer, _
    ByRef RZNV As Double, _
    ByRef LDRZNV As Integer, _
    ByRef CZ As Double, _
    ByRef LDCZ As Integer, _
    ByRef WKZ As Double, _
    ByRef LDWKZ As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G02DAF Lib "FLDLL224M_nag.dll" ( _
    ByVal MEAN As string, ByVal MEANLength As Integer, ByVal WEIGHT As string, ByVal WEIGHTLength As Integer, ByRef N As Integer, _
    ByRef X As Double, ByRef LDX As Integer, ByRef M As Integer, _
    ByRef ISX As Integer, ByRef IP As Integer, ByRef Y As Double, _
    ByRef WT As Double, ByRef RSS As Double, ByRef IDF As Integer, _
    ByRef B As Double, ByRef SE As Double, ByRef COV As Double, _
    ByRef RES As Double, ByRef H As Double, ByRef Q As Double, _
    ByRef LDQ As Integer, ByRef SVD As Integer, ByRef IRANK As Integer, _
    ByRef P As Double, ByRef TOL As Double, ByRef WK As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G02DCF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPDATE As string, ByVal UPDATELength As Integer, _
    ByVal MEAN As string, ByVal MEANLength As Integer, _
    ByVal WEIGHT As string, ByVal WEIGHTLength As Integer, _
    ByRef M As Integer, _
    ByRef ISX As Integer, _
    ByRef Q As Double, _
    ByRef LDQ As Integer, _
    ByRef IP As Integer, _
    ByRef X As Double, _
    ByRef IX As Integer, _
    ByRef Y As Double, _
    ByRef WT As Double, _
    ByRef RSS As Double, _
    ByRef WK As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G02DDF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef IP As Integer, _
    ByRef Q As Double, _
    ByRef LDQ As Integer, _
    ByRef RSS As Double, _
    ByRef IDF As Integer, _
    ByRef B As Double, _
    ByRef SE As Double, _
    ByRef COV As Double, _
    ByRef SVD As Integer, _
    ByRef IRANK As Integer, _
    ByRef P As Double, _
    ByRef TOL As Double, _
    ByRef WK As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G02DEF Lib "FLDLL224M_nag.dll" ( _
    ByVal WEIGHT As string, ByVal WEIGHTLength As Integer, _
    ByRef N As Integer, _
    ByRef IP As Integer, _
    ByRef Q As Double, _
    ByRef LDQ As Integer, _
    ByRef P As Double, _
    ByRef WT As Double, _
    ByRef X As Double, _
    ByRef RSS As Double, _
    ByRef TOL As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G02DFF Lib "FLDLL224M_nag.dll" ( _
    ByRef IP As Integer, _
    ByRef Q As Double, _
    ByRef LDQ As Integer, _
    ByRef INDX As Integer, _
    ByRef RSS As Double, _
    ByRef WK As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G02DGF Lib "FLDLL224M_nag.dll" ( _
    ByVal WEIGHT As string, ByVal WEIGHTLength As Integer, _
    ByRef N As Integer, _
    ByRef WT As Double, _
    ByRef RSS As Double, _
    ByRef IP As Integer, _
    ByRef IRANK As Integer, _
    ByRef COV As Double, _
    ByRef Q As Double, _
    ByRef LDQ As Integer, _
    ByRef SVD As Integer, _
    ByRef P As Double, _
    ByRef Y As Double, _
    ByRef B As Double, _
    ByRef SE As Double, _
    ByRef RES As Double, _
    ByRef WK As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G02DKF Lib "FLDLL224M_nag.dll" ( _
    ByRef IP As Integer, _
    ByRef ICONST As Integer, _
    ByRef P As Double, _
    ByRef C As Double, _
    ByRef LDC As Integer, _
    ByRef B As Double, _
    ByRef RSS As Double, _
    ByRef IDF As Integer, _
    ByRef SE As Double, _
    ByRef COV As Double, _
    ByRef WK As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G02DNF Lib "FLDLL224M_nag.dll" ( _
    ByRef IP As Integer, _
    ByRef IRANK As Integer, _
    ByRef B As Double, _
    ByRef COV As Double, _
    ByRef P As Double, _
    ByRef F As Double, _
    ByRef EST As Integer, _
    ByRef STAT As Double, _
    ByRef SESTAT As Double, _
    ByRef T As Double, _
    ByRef TOL As Double, _
    ByRef WK As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G02EAF Lib "FLDLL224M_nag.dll" ( _
    ByVal MEAN As string, ByVal MEANLength As Integer, _
    ByVal WEIGHT As string, ByVal WEIGHTLength As Integer, _
    ByRef N As Integer, _
    ByRef M As Integer, _
    ByRef X As Double, _
    ByRef LDX As Integer, _
    ByVal VNAME As string, ByVal VNAMELength As Integer, _
    ByRef ISX As Integer, _
    ByRef Y As Double, _
    ByRef WT As Double, _
    ByRef NMOD As Integer, _
    ByVal MODL As string, ByVal MODLLength As Integer, _
    ByRef LDMODL As Integer, _
    ByRef RSS As Double, _
    ByRef NTERMS As Integer, _
    ByRef MRANK As Integer, _
    ByRef WK As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G02ECF Lib "FLDLL224M_nag.dll" ( _
    ByVal MEAN As string, ByVal MEANLength As Integer, _
    ByRef N As Integer, _
    ByRef SIGSQ As Double, _
    ByRef TSS As Double, _
    ByRef NMOD As Integer, _
    ByRef NTERMS As Integer, _
    ByRef RSS As Double, _
    ByRef RSQ As Double, _
    ByRef CP As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G02EEF Lib "FLDLL224M_nag.dll" ( _
    ByRef ISTEP As Integer, ByVal MEAN As string, ByVal MEANLength As Integer, ByVal WEIGHT As string, ByVal WEIGHTLength As Integer, _
    ByRef N As Integer, ByRef M As Integer, ByRef X As Double, _
    ByRef LDX As Integer, ByVal VNAME As string, ByVal VNAMELength As Integer, ByRef ISX As Integer, _
    ByRef MAXIP As Integer, ByRef Y As Double, ByRef WT As Double, _
    ByRef FIN As Double, ByRef ADDVAR As Integer, ByVal NEWVAR As string, ByVal NEWVARLength As Integer, _
    ByRef CHRSS As Double, ByRef F As Double, ByVal MODEL As string, ByVal MODELLength As Integer, _
    ByRef NTERM As Integer, ByRef RSS As Double, ByRef IDF As Integer, _
    ByRef IFR As Integer, ByVal FREE As string, ByVal FREELength As Integer, ByRef EXSS As Double, _
    ByRef Q As Double, ByRef LDQ As Integer, ByRef P As Double, _
    ByRef WK As Double, ByRef IFAIL As Integer _
   )


  Delegate Sub G02EFF_MONFUN_DELEGATE( _
    ByVal FLAG As string, ByVal FLAGLength As Integer, _
    ByRef VAR As Integer, _
    ByRef VAL As Double, _
    ByVal IUSER_iptr As IntPtr, _
    ByVal RUSER_rptr As IntPtr _
  )

   Declare Sub G02EFH Lib "FLDLL224M_nag.dll" ( _
    ByVal FLAG As string, ByVal FLAGLength As Integer, _
    ByRef VAR As Integer, _
    ByRef VAL As Double, _
    ByVal IUSER_iptr As IntPtr, _
    ByVal RUSER_rptr As IntPtr _
  )

   Declare Sub G02EFF Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef WMEAN As Double, _
    ByRef C As Double, _
    ByRef SW As Double, _
    ByRef ISX As Integer, _
    ByRef FIN As Double, _
    ByRef FOUT As Double, _
    ByRef TAU As Double, _
    ByRef B As Double, _
    ByRef SE As Double, _
    ByRef RSQ As Double, _
    ByRef RMS As Double, _
    ByRef DF As Integer, _
    ByRef MONLEV As Integer, _
    ByVal MONFUN As G02EFF_MONFUN_DELEGATE, _
    ByRef IUSER As Integer, _
    ByRef RUSER As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G02FAF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef IP As Integer, _
    ByRef NRES As Integer, _
    ByRef RES As Double, _
    ByRef H As Double, _
    ByRef RMS As Double, _
    ByRef SRES As Double, _
    ByRef LDSRES As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G02FCF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef IP As Integer, _
    ByRef RES As Double, _
    ByRef D As Double, _
    ByRef PDL As Double, _
    ByRef PDU As Double, _
    ByRef WORK As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G02GAF Lib "FLDLL224M_nag.dll" ( _
    ByVal LINK As string, ByVal LINKLength As Integer, ByVal MEAN As string, ByVal MEANLength As Integer, ByVal OFFSET As string, ByVal OFFSETLength As Integer, _
    ByVal WEIGHT As string, ByVal WEIGHTLength As Integer, ByRef N As Integer, ByRef X As Double, _
    ByRef LDX As Integer, ByRef M As Integer, ByRef ISX As Integer, _
    ByRef IP As Integer, ByRef Y As Double, ByRef WT As Double, _
    ByRef S As Double, ByRef A As Double, ByRef RSS As Double, _
    ByRef IDF As Integer, ByRef B As Double, ByRef IRANK As Integer, _
    ByRef SE As Double, ByRef COV As Double, ByRef V As Double, _
    ByRef LDV As Integer, ByRef TOL As Double, ByRef MAXIT As Integer, _
    ByRef IPRINT As Integer, ByRef EPS As Double, ByRef WK As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G02GBF Lib "FLDLL224M_nag.dll" ( _
    ByVal LINK As string, ByVal LINKLength As Integer, ByVal MEAN As string, ByVal MEANLength As Integer, ByVal OFFSET As string, ByVal OFFSETLength As Integer, _
    ByVal WEIGHT As string, ByVal WEIGHTLength As Integer, ByRef N As Integer, ByRef X As Double, _
    ByRef LDX As Integer, ByRef M As Integer, ByRef ISX As Integer, _
    ByRef IP As Integer, ByRef Y As Double, ByRef T As Double, _
    ByRef WT As Double, ByRef DEV As Double, ByRef IDF As Integer, _
    ByRef B As Double, ByRef IRANK As Integer, ByRef SE As Double, _
    ByRef COV As Double, ByRef V As Double, ByRef LDV As Integer, _
    ByRef TOL As Double, ByRef MAXIT As Integer, ByRef IPRINT As Integer, _
    ByRef EPS As Double, ByRef WK As Double, ByRef IFAIL As Integer _
   )


   Declare Sub G02GCF Lib "FLDLL224M_nag.dll" ( _
    ByVal LINK As string, ByVal LINKLength As Integer, ByVal MEAN As string, ByVal MEANLength As Integer, ByVal OFFSET As string, ByVal OFFSETLength As Integer, _
    ByVal WEIGHT As string, ByVal WEIGHTLength As Integer, ByRef N As Integer, ByRef X As Double, _
    ByRef LDX As Integer, ByRef M As Integer, ByRef ISX As Integer, _
    ByRef IP As Integer, ByRef Y As Double, ByRef WT As Double, _
    ByRef A As Double, ByRef DEV As Double, ByRef IDF As Integer, _
    ByRef B As Double, ByRef IRANK As Integer, ByRef SE As Double, _
    ByRef COV As Double, ByRef V As Double, ByRef LDV As Integer, _
    ByRef TOL As Double, ByRef MAXIT As Integer, ByRef IPRINT As Integer, _
    ByRef EPS As Double, ByRef WK As Double, ByRef IFAIL As Integer _
   )


   Declare Sub G02GDF Lib "FLDLL224M_nag.dll" ( _
    ByVal LINK As string, ByVal LINKLength As Integer, ByVal MEAN As string, ByVal MEANLength As Integer, ByVal OFFSET As string, ByVal OFFSETLength As Integer, _
    ByVal WEIGHT As string, ByVal WEIGHTLength As Integer, ByRef N As Integer, ByRef X As Double, _
    ByRef LDX As Integer, ByRef M As Integer, ByRef ISX As Integer, _
    ByRef IP As Integer, ByRef Y As Double, ByRef WT As Double, _
    ByRef S As Double, ByRef A As Double, ByRef DEV As Double, _
    ByRef IDF As Integer, ByRef B As Double, ByRef IRANK As Integer, _
    ByRef SE As Double, ByRef COV As Double, ByRef V As Double, _
    ByRef LDV As Integer, ByRef TOL As Double, ByRef MAXIT As Integer, _
    ByRef IPRINT As Integer, ByRef EPS As Double, ByRef WK As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G02GKF Lib "FLDLL224M_nag.dll" ( _
    ByRef IP As Integer, _
    ByRef ICONST As Integer, _
    ByRef V As Double, _
    ByRef LDV As Integer, _
    ByRef C As Double, _
    ByRef LDC As Integer, _
    ByRef B As Double, _
    ByRef S As Double, _
    ByRef SE As Double, _
    ByRef COV As Double, _
    ByRef WK As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G02GNF Lib "FLDLL224M_nag.dll" ( _
    ByRef IP As Integer, _
    ByRef IRANK As Integer, _
    ByRef B As Double, _
    ByRef COV As Double, _
    ByRef V As Double, _
    ByRef LDV As Integer, _
    ByRef F As Double, _
    ByRef EST As Integer, _
    ByRef STAT As Double, _
    ByRef SESTAT As Double, _
    ByRef Z As Double, _
    ByRef TOL As Double, _
    ByRef WK As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G02GPF Lib "FLDLL224M_nag.dll" ( _
    ByVal ERRFN As string, ByVal ERRFNLength As Integer, ByVal LINK As string, ByVal LINKLength As Integer, ByVal MEAN As string, ByVal MEANLength As Integer, _
    ByVal OFFSET As string, ByVal OFFSETLength As Integer, ByVal WEIGHT As string, ByVal WEIGHTLength As Integer, ByRef N As Integer, _
    ByRef X As Double, ByRef LDX As Integer, ByRef M As Integer, _
    ByRef ISX As Integer, ByRef IP As Integer, ByRef T As Double, _
    ByRef OFF As Double, ByRef WT As Double, ByRef S As Double, _
    ByRef A As Double, ByRef B As Double, ByRef COV As Double, _
    ByRef VFOBS As Integer, ByRef ETA As Double, ByRef SEETA As Double, _
    ByRef PRED As Double, ByRef SEPRED As Double, ByRef IFAIL As Integer _
   )


   Declare Sub G02HAF Lib "FLDLL224M_nag.dll" ( _
    ByRef INDW As Integer, ByRef IPSI As Integer, ByRef ISIGMA As Integer, _
    ByRef INDC As Integer, ByRef N As Integer, ByRef M As Integer, _
    ByRef X As Double, ByRef LDX As Integer, ByRef Y As Double, _
    ByRef CPSI As Double, ByRef H1 As Double, ByRef H2 As Double, _
    ByRef H3 As Double, ByRef CUCV As Double, ByRef DCHI As Double, _
    ByRef THETA As Double, ByRef SIGMA As Double, ByRef C As Double, _
    ByRef LDC As Integer, ByRef RS As Double, ByRef WGT As Double, _
    ByRef TOL As Double, ByRef MAXIT As Integer, ByRef NITMON As Integer, _
    ByRef WORK As Double, ByRef IFAIL As Integer _
   )


  Delegate Function G02HBF_UCV_DELEGATE( _
    ByRef T As Double _
  ) as Double

   Declare Sub G02HBF Lib "FLDLL224M_nag.dll" ( _
    ByVal UCV As G02HBF_UCV_DELEGATE, _
    ByRef N As Integer, _
    ByRef M As Integer, _
    ByRef X As Double, _
    ByRef LDX As Integer, _
    ByRef A As Double, _
    ByRef Z As Double, _
    ByRef BL As Double, _
    ByRef BD As Double, _
    ByRef TOL As Double, _
    ByRef MAXIT As Integer, _
    ByRef NITMON As Integer, _
    ByRef NIT As Integer, _
    ByRef WK As Double, _
    ByRef IFAIL As Integer _
   )


  Delegate Function G02HDF_CHI_DELEGATE( _
    ByRef T As Double _
  ) as Double

   Declare Function G02HDZ Lib "FLDLL224M_nag.dll" ( _
    ByRef T As Double _
  ) as Double

  Delegate Function G02HDF_PSI_DELEGATE( _
    ByRef T As Double _
  ) as Double

   Declare Sub G02HDF Lib "FLDLL224M_nag.dll" ( _
    ByVal CHI As G02HDF_CHI_DELEGATE, ByVal PSI As G02HDF_PSI_DELEGATE, ByRef PSIP0 As Double, _
    ByRef BETA As Double, ByRef INDW As Integer, ByRef ISIGMA As Integer, _
    ByRef N As Integer, ByRef M As Integer, ByRef X As Double, _
    ByRef LDX As Integer, ByRef Y As Double, ByRef WGT As Double, _
    ByRef THETA As Double, ByRef K As Integer, ByRef SIGMA As Double, _
    ByRef RS As Double, ByRef TOL As Double, ByRef EPS As Double, _
    ByRef MAXIT As Integer, ByRef NITMON As Integer, ByRef NIT As Integer, _
    ByRef WK As Double, ByRef IFAIL As Integer _
   )


  Delegate Function G02HFF_PSI_DELEGATE( _
    ByRef T As Double _
  ) as Double

  Delegate Function G02HFF_PSP_DELEGATE( _
    ByRef T As Double _
  ) as Double

   Declare Sub G02HFF Lib "FLDLL224M_nag.dll" ( _
    ByVal PSI As G02HFF_PSI_DELEGATE, _
    ByVal PSP As G02HFF_PSP_DELEGATE, _
    ByRef INDW As Integer, _
    ByRef INDC As Integer, _
    ByRef SIGMA As Double, _
    ByRef N As Integer, _
    ByRef M As Integer, _
    ByRef X As Double, _
    ByRef LDX As Integer, _
    ByRef RS As Double, _
    ByRef WGT As Double, _
    ByRef C As Double, _
    ByRef LDC As Integer, _
    ByRef WK As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G02HKF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef M As Integer, _
    ByRef X As Double, _
    ByRef LDX As Integer, _
    ByRef EPS As Double, _
    ByRef COV As Double, _
    ByRef THETA As Double, _
    ByRef MAXIT As Integer, _
    ByRef NITMON As Integer, _
    ByRef TOL As Double, _
    ByRef NIT As Integer, _
    ByRef WK As Double, _
    ByRef IFAIL As Integer _
   )


  Delegate Sub G02HLF_UCV_DELEGATE( _
    ByRef T As Double, _
    ByVal RUSER_rptr As IntPtr, _
    ByRef U As Double, _
    ByRef UD As Double, _
    ByRef W As Double, _
    ByRef WD As Double _
  )

   Declare Sub G02HLF Lib "FLDLL224M_nag.dll" ( _
    ByVal UCV As G02HLF_UCV_DELEGATE, _
    ByRef RUSER As Double, _
    ByRef INDM As Integer, _
    ByRef N As Integer, _
    ByRef M As Integer, _
    ByRef X As Double, _
    ByRef LDX As Integer, _
    ByRef COV As Double, _
    ByRef A As Double, _
    ByRef WT As Double, _
    ByRef THETA As Double, _
    ByRef BL As Double, _
    ByRef BD As Double, _
    ByRef MAXIT As Integer, _
    ByRef NITMON As Integer, _
    ByRef TOL As Double, _
    ByRef NIT As Integer, _
    ByRef WK As Double, _
    ByRef IFAIL As Integer _
   )


  Delegate Sub G02HMF_UCV_DELEGATE( _
    ByRef T As Double, _
    ByVal RUSER_rptr As IntPtr, _
    ByRef U As Double, _
    ByRef W As Double _
  )

   Declare Sub G02HMF Lib "FLDLL224M_nag.dll" ( _
    ByVal UCV As G02HMF_UCV_DELEGATE, _
    ByRef RUSER As Double, _
    ByRef INDM As Integer, _
    ByRef N As Integer, _
    ByRef M As Integer, _
    ByRef X As Double, _
    ByRef LDX As Integer, _
    ByRef COV As Double, _
    ByRef A As Double, _
    ByRef WT As Double, _
    ByRef THETA As Double, _
    ByRef BL As Double, _
    ByRef BD As Double, _
    ByRef MAXIT As Integer, _
    ByRef NITMON As Integer, _
    ByRef TOL As Double, _
    ByRef NIT As Integer, _
    ByRef WK As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G02JAF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, ByRef NCOL As Integer, ByRef LDDAT As Integer, _
    ByRef DAT As Double, ByRef LEVELS As Integer, ByRef YVID As Integer, _
    ByRef CWID As Integer, ByRef NFV As Integer, ByRef FVID As Integer, _
    ByRef FINT As Integer, ByRef NRV As Integer, ByRef RVID As Integer, _
    ByRef NVPR As Integer, ByRef VPR As Integer, ByRef RINT As Integer, _
    ByRef SVID As Integer, ByRef GAMMA As Double, ByRef NFF As Integer, _
    ByRef NRF As Integer, ByRef DF As Integer, ByRef REML As Double, _
    ByRef LB As Integer, ByRef B As Double, ByRef SE As Double, _
    ByRef MAXIT As Integer, ByRef TOL As Double, ByRef WARN As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G02JBF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, ByRef NCOL As Integer, ByRef LDDAT As Integer, _
    ByRef DAT As Double, ByRef LEVELS As Integer, ByRef YVID As Integer, _
    ByRef CWID As Integer, ByRef NFV As Integer, ByRef FVID As Integer, _
    ByRef FINT As Integer, ByRef NRV As Integer, ByRef RVID As Integer, _
    ByRef NVPR As Integer, ByRef VPR As Integer, ByRef RINT As Integer, _
    ByRef SVID As Integer, ByRef GAMMA As Double, ByRef NFF As Integer, _
    ByRef NRF As Integer, ByRef DF As Integer, ByRef ML As Double, _
    ByRef LB As Integer, ByRef B As Double, ByRef SE As Double, _
    ByRef MAXIT As Integer, ByRef TOL As Double, ByRef WARN As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G02KAF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, ByRef M As Integer, ByRef X As Double, _
    ByRef LDX As Integer, ByRef ISX As Integer, ByRef IP As Integer, _
    ByRef TAU As Double, ByRef Y As Double, ByRef H As Double, _
    ByRef OPT As Integer, ByRef NITER As Integer, ByRef TOL As Double, _
    ByRef NEP As Double, ByRef ORIG As Integer, ByRef B As Double, _
    ByRef VIF As Double, ByRef RES As Double, ByRef RSS As Double, _
    ByRef DF As Integer, ByRef OPTLOO As Integer, ByRef PERR As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G02KBF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, ByRef M As Integer, ByRef X As Double, _
    ByRef LDX As Integer, ByRef ISX As Integer, ByRef IP As Integer, _
    ByRef Y As Double, ByRef LH As Integer, ByRef H As Double, _
    ByRef NEP As Double, ByRef WANTB As Integer, ByRef B As Double, _
    ByRef LDB As Integer, ByRef WANTVF As Integer, ByRef VF As Double, _
    ByRef LDVF As Integer, ByRef LPEC As Integer, ByVal PEC As string, ByVal PECLength As Integer, _
    ByRef PE As Double, ByRef LDPE As Integer, ByRef IFAIL As Integer _
   )


   Declare Sub G02LAF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, ByRef MX As Integer, ByRef X As Double, _
    ByRef LDX As Integer, ByRef ISX As Integer, ByRef IP As Integer, _
    ByRef MY As Integer, ByRef Y As Double, ByRef LDY As Integer, _
    ByRef XBAR As Double, ByRef YBAR As Double, ByRef ISCALE As Integer, _
    ByRef XSTD As Double, ByRef YSTD As Double, ByRef MAXFAC As Integer, _
    ByRef XRES As Double, ByRef LDXRES As Integer, ByRef YRES As Double, _
    ByRef LDYRES As Integer, ByRef W As Double, ByRef LDW As Integer, _
    ByRef P As Double, ByRef LDP As Integer, ByRef T As Double, _
    ByRef LDT As Integer, ByRef C As Double, ByRef LDC As Integer, _
    ByRef U As Double, ByRef LDU As Integer, ByRef XCV As Double, _
    ByRef YCV As Double, ByRef LDYCV As Integer, ByRef IFAIL As Integer _
   )


   Declare Sub G02LBF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, ByRef MX As Integer, ByRef X As Double, _
    ByRef LDX As Integer, ByRef ISX As Integer, ByRef IP As Integer, _
    ByRef MY As Integer, ByRef Y As Double, ByRef LDY As Integer, _
    ByRef XBAR As Double, ByRef YBAR As Double, ByRef ISCALE As Integer, _
    ByRef XSTD As Double, ByRef YSTD As Double, ByRef MAXFAC As Integer, _
    ByRef MAXIT As Integer, ByRef TAU As Double, ByRef XRES As Double, _
    ByRef LDXRES As Integer, ByRef YRES As Double, ByRef LDYRES As Integer, _
    ByRef W As Double, ByRef LDW As Integer, ByRef P As Double, _
    ByRef LDP As Integer, ByRef T As Double, ByRef LDT As Integer, _
    ByRef C As Double, ByRef LDC As Integer, ByRef U As Double, _
    ByRef LDU As Integer, ByRef XCV As Double, ByRef YCV As Double, _
    ByRef LDYCV As Integer, ByRef IFAIL As Integer _
   )


   Declare Sub G02LCF Lib "FLDLL224M_nag.dll" ( _
    ByRef IP As Integer, ByRef MY As Integer, ByRef MAXFAC As Integer, _
    ByRef NFACT As Integer, ByRef P As Double, ByRef LDP As Integer, _
    ByRef C As Double, ByRef LDC As Integer, ByRef W As Double, _
    ByRef LDW As Integer, ByRef RCOND As Double, ByRef B As Double, _
    ByRef LDB As Integer, ByRef ORIG As Integer, ByRef XBAR As Double, _
    ByRef YBAR As Double, ByRef ISCALE As Integer, ByRef XSTD As Double, _
    ByRef YSTD As Double, ByRef OB As Double, ByRef LDOB As Integer, _
    ByRef VIPOPT As Integer, ByRef YCV As Double, ByRef LDYCV As Integer, _
    ByRef VIP As Double, ByRef LDVIP As Integer, ByRef IFAIL As Integer _
   )


   Declare Sub G02LDF Lib "FLDLL224M_nag.dll" ( _
    ByRef IP As Integer, _
    ByRef MY As Integer, _
    ByRef ORIG As Integer, _
    ByRef XBAR As Double, _
    ByRef YBAR As Double, _
    ByRef ISCALE As Integer, _
    ByRef XSTD As Double, _
    ByRef YSTD As Double, _
    ByRef B As Double, _
    ByRef LDB As Integer, _
    ByRef N As Integer, _
    ByRef MZ As Integer, _
    ByRef ISZ As Integer, _
    ByRef Z As Double, _
    ByRef LDZ As Integer, _
    ByRef YHAT As Double, _
    ByRef LDYHAT As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G03AAF Lib "FLDLL224M_nag.dll" ( _
    ByVal MATRIX As string, ByVal MATRIXLength As Integer, _
    ByVal STD As string, ByVal STDLength As Integer, _
    ByVal WEIGHT As string, ByVal WEIGHTLength As Integer, _
    ByRef N As Integer, _
    ByRef M As Integer, _
    ByRef X As Double, _
    ByRef LDX As Integer, _
    ByRef ISX As Integer, _
    ByRef S As Double, _
    ByRef WT As Double, _
    ByRef NVAR As Integer, _
    ByRef E As Double, _
    ByRef LDE As Integer, _
    ByRef P As Double, _
    ByRef LDP As Integer, _
    ByRef V As Double, _
    ByRef LDV As Integer, _
    ByRef WK As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G03ACF Lib "FLDLL224M_nag.dll" ( _
    ByVal WEIGHT As string, ByVal WEIGHTLength As Integer, ByRef N As Integer, ByRef M As Integer, _
    ByRef X As Double, ByRef LDX As Integer, ByRef ISX As Integer, _
    ByRef NX As Integer, ByRef ING As Integer, ByRef NG As Integer, _
    ByRef WT As Double, ByRef NIG As Integer, ByRef CVM As Double, _
    ByRef LDCVM As Integer, ByRef E As Double, ByRef LDE As Integer, _
    ByRef NCV As Integer, ByRef CVX As Double, ByRef LDCVX As Integer, _
    ByRef TOL As Double, ByRef IRANKX As Integer, ByRef WK As Double, _
    ByRef IWK As Integer, ByRef IFAIL As Integer _
   )


   Declare Sub G03ADF Lib "FLDLL224M_nag.dll" ( _
    ByVal WEIGHT As string, ByVal WEIGHTLength As Integer, ByRef N As Integer, ByRef M As Integer, _
    ByRef Z As Double, ByRef LDZ As Integer, ByRef ISZ As Integer, _
    ByRef NX As Integer, ByRef NY As Integer, ByRef WT As Double, _
    ByRef E As Double, ByRef LDE As Integer, ByRef NCV As Integer, _
    ByRef CVX As Double, ByRef LDCVX As Integer, ByRef MCV As Integer, _
    ByRef CVY As Double, ByRef LDCVY As Integer, ByRef TOL As Double, _
    ByRef WK As Double, ByRef IWK As Integer, ByRef IFAIL As Integer _
   )


   Declare Sub G03BAF Lib "FLDLL224M_nag.dll" ( _
    ByVal STAND As string, ByVal STANDLength As Integer, _
    ByRef G As Double, _
    ByRef NVAR As Integer, _
    ByRef K As Integer, _
    ByRef FL As Double, _
    ByRef LDFL As Integer, _
    ByRef FLR As Double, _
    ByRef R As Double, _
    ByRef LDR As Integer, _
    ByRef ACC As Double, _
    ByRef MAXIT As Integer, _
    ByRef ITER As Integer, _
    ByRef WK As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G03BCF Lib "FLDLL224M_nag.dll" ( _
    ByVal STAND As string, ByVal STANDLength As Integer, _
    ByVal PSCALE As string, ByVal PSCALELength As Integer, _
    ByRef N As Integer, _
    ByRef M As Integer, _
    ByRef X As Double, _
    ByRef LDX As Integer, _
    ByRef Y As Double, _
    ByRef LDY As Integer, _
    ByRef YHAT As Double, _
    ByRef R As Double, _
    ByRef LDR As Integer, _
    ByRef ALPHA As Double, _
    ByRef RSS As Double, _
    ByRef RES As Double, _
    ByRef WK As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G03BDF Lib "FLDLL224M_nag.dll" ( _
    ByVal STAND As string, ByVal STANDLength As Integer, _
    ByRef N As Integer, _
    ByRef M As Integer, _
    ByRef X As Double, _
    ByRef LDX As Integer, _
    ByRef RO As Double, _
    ByRef LDRO As Integer, _
    ByRef POWER As Double, _
    ByRef FP As Double, _
    ByRef LDFP As Integer, _
    ByRef R As Double, _
    ByRef LDR As Integer, _
    ByRef PHI As Double, _
    ByRef LDPHI As Integer, _
    ByRef FS As Double, _
    ByRef LDFS As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G03CAF Lib "FLDLL224M_nag.dll" ( _
    ByVal MATRIX As string, ByVal MATRIXLength As Integer, ByVal WEIGHT As string, ByVal WEIGHTLength As Integer, ByRef N As Integer, _
    ByRef M As Integer, ByRef X As Double, ByRef LDX As Integer, _
    ByRef NVAR As Integer, ByRef ISX As Integer, ByRef NFAC As Integer, _
    ByRef WT As Double, ByRef E As Double, ByRef STAT As Double, _
    ByRef COM As Double, ByRef PSI As Double, ByRef RES As Double, _
    ByRef FL As Double, ByRef LDFL As Integer, ByRef IOP As Integer, _
    ByRef IWK As Integer, ByRef WK As Double, ByRef LWK As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G03CCF Lib "FLDLL224M_nag.dll" ( _
    ByVal METHOD As string, ByVal METHODLength As Integer, _
    ByVal ROTATE As string, ByVal ROTATELength As Integer, _
    ByRef NVAR As Integer, _
    ByRef NFAC As Integer, _
    ByRef FL As Double, _
    ByRef LDFL As Integer, _
    ByRef PSI As Double, _
    ByRef E As Double, _
    ByRef R As Double, _
    ByRef LDR As Integer, _
    ByRef FS As Double, _
    ByRef LDFS As Integer, _
    ByRef WK As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G03DAF Lib "FLDLL224M_nag.dll" ( _
    ByVal WEIGHT As string, ByVal WEIGHTLength As Integer, ByRef N As Integer, ByRef M As Integer, _
    ByRef X As Double, ByRef LDX As Integer, ByRef ISX As Integer, _
    ByRef NVAR As Integer, ByRef ING As Integer, ByRef NG As Integer, _
    ByRef WT As Double, ByRef NIG As Integer, ByRef GMN As Double, _
    ByRef LDGMN As Integer, ByRef DET As Double, ByRef GC As Double, _
    ByRef STAT As Double, ByRef DF As Double, ByRef SIG As Double, _
    ByRef WK As Double, ByRef IWK As Integer, ByRef IFAIL As Integer _
   )


   Declare Sub G03DBF Lib "FLDLL224M_nag.dll" ( _
    ByVal EQUAL As string, ByVal EQUALLength As Integer, _
    ByVal MODE As string, ByVal MODELength As Integer, _
    ByRef NVAR As Integer, _
    ByRef NG As Integer, _
    ByRef GMN As Double, _
    ByRef LDGMN As Integer, _
    ByRef GC As Double, _
    ByRef NOBS As Integer, _
    ByRef M As Integer, _
    ByRef ISX As Integer, _
    ByRef X As Double, _
    ByRef LDX As Integer, _
    ByRef D As Double, _
    ByRef LDD As Integer, _
    ByRef WK As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G03DCF Lib "FLDLL224M_nag.dll" ( _
    ByVal TYP As string, ByVal TYPLength As Integer, ByVal EQUAL As string, ByVal EQUALLength As Integer, ByVal PRIORS As string, ByVal PRIORSLength As Integer, _
    ByRef NVAR As Integer, ByRef NG As Integer, ByRef NIG As Integer, _
    ByRef GMN As Double, ByRef LDGMN As Integer, ByRef GC As Double, _
    ByRef DET As Double, ByRef NOBS As Integer, ByRef M As Integer, _
    ByRef ISX As Integer, ByRef X As Double, ByRef LDX As Integer, _
    ByRef PRIOR As Double, ByRef P As Double, ByRef LDP As Integer, _
    ByRef IAG As Integer, ByRef ATIQ As Integer, ByRef ATI As Double, _
    ByRef WK As Double, ByRef IFAIL As Integer _
   )


   Declare Sub G03EAF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPDATE As string, ByVal UPDATELength As Integer, _
    ByVal DIST As string, ByVal DISTLength As Integer, _
    ByVal SCAL As string, ByVal SCALLength As Integer, _
    ByRef N As Integer, _
    ByRef M As Integer, _
    ByRef X As Double, _
    ByRef LDX As Integer, _
    ByRef ISX As Integer, _
    ByRef S As Double, _
    ByRef D As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G03ECF Lib "FLDLL224M_nag.dll" ( _
    ByRef METHOD As Integer, _
    ByRef N As Integer, _
    ByRef D As Double, _
    ByRef ILC As Integer, _
    ByRef IUC As Integer, _
    ByRef CD As Double, _
    ByRef IORD As Integer, _
    ByRef DORD As Double, _
    ByRef IWK As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G03EFF Lib "FLDLL224M_nag.dll" ( _
    ByVal WEIGHT As string, ByVal WEIGHTLength As Integer, _
    ByRef N As Integer, _
    ByRef M As Integer, _
    ByRef X As Double, _
    ByRef LDX As Integer, _
    ByRef ISX As Integer, _
    ByRef NVAR As Integer, _
    ByRef K As Integer, _
    ByRef CMEANS As Double, _
    ByRef LDC As Integer, _
    ByRef WT As Double, _
    ByRef INC As Integer, _
    ByRef NIC As Integer, _
    ByRef CSS As Double, _
    ByRef CSW As Double, _
    ByRef MAXIT As Integer, _
    ByRef IWK As Integer, _
    ByRef WK As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G03EHF Lib "FLDLL224M_nag.dll" ( _
    ByVal ORIENT As string, ByVal ORIENTLength As Integer, _
    ByRef N As Integer, _
    ByRef DORD As Double, _
    ByRef DMIN As Double, _
    ByRef DSTEP As Double, _
    ByRef NSYM As Integer, _
    ByVal C As string, ByVal CLength As Integer, _
    ByRef LENC As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G03EJF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef CD As Double, _
    ByRef IORD As Integer, _
    ByRef DORD As Double, _
    ByRef K As Integer, _
    ByRef DLEVEL As Double, _
    ByRef IC As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G03FAF Lib "FLDLL224M_nag.dll" ( _
    ByVal ROOTS As string, ByVal ROOTSLength As Integer, _
    ByRef N As Integer, _
    ByRef D As Double, _
    ByRef NDIM As Integer, _
    ByRef X As Double, _
    ByRef LDX As Integer, _
    ByRef EVAL As Double, _
    ByRef WK As Double, _
    ByRef IWK As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G03FCF Lib "FLDLL224M_nag.dll" ( _
    ByVal TYP As string, ByVal TYPLength As Integer, _
    ByRef N As Integer, _
    ByRef NDIM As Integer, _
    ByRef D As Double, _
    ByRef X As Double, _
    ByRef LDX As Integer, _
    ByRef STRESS As Double, _
    ByRef DFIT As Double, _
    ByRef ITER As Integer, _
    ByRef IOPT As Integer, _
    ByRef WK As Double, _
    ByRef IWK As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G03ZAF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef M As Integer, _
    ByRef X As Double, _
    ByRef LDX As Integer, _
    ByRef NVAR As Integer, _
    ByRef ISX As Integer, _
    ByRef S As Double, _
    ByRef E As Double, _
    ByRef Z As Double, _
    ByRef LDZ As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G04AGF Lib "FLDLL224M_nag.dll" ( _
    ByRef Y As Double, _
    ByRef N As Integer, _
    ByRef K As Integer, _
    ByRef LSUB As Integer, _
    ByRef NOBS As Integer, _
    ByRef L As Integer, _
    ByRef NGP As Integer, _
    ByRef GBAR As Double, _
    ByRef SGBAR As Double, _
    ByRef GM As Double, _
    ByRef SS As Double, _
    ByRef IDF As Integer, _
    ByRef F As Double, _
    ByRef FP As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G04BBF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef Y As Double, _
    ByRef IBLOCK As Integer, _
    ByRef NT As Integer, _
    ByRef IT As Integer, _
    ByRef GMEAN As Double, _
    ByRef BMEAN As Double, _
    ByRef TMEAN As Double, _
    ByRef TABL As Double, _
    ByRef LDTABL As Integer, _
    ByRef C As Double, _
    ByRef LDC As Integer, _
    ByRef IREP As Integer, _
    ByRef R As Double, _
    ByRef EF As Double, _
    ByRef TOL As Double, _
    ByRef IRDF As Integer, _
    ByRef WK As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G04BCF Lib "FLDLL224M_nag.dll" ( _
    ByRef NREP As Integer, ByRef NROW As Integer, ByRef NCOL As Integer, _
    ByRef Y As Double, ByRef NT As Integer, ByRef IT As Integer, _
    ByRef GMEAN As Double, ByRef TMEAN As Double, ByRef TABL As Double, _
    ByRef LDTABL As Integer, ByRef C As Double, ByRef LDC As Integer, _
    ByRef IREP As Integer, ByRef RPMEAN As Double, ByRef RMEAN As Double, _
    ByRef CMEAN As Double, ByRef R As Double, ByRef EF As Double, _
    ByRef TOL As Double, ByRef IRDF As Integer, ByRef WK As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G04CAF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef Y As Double, _
    ByRef NFAC As Integer, _
    ByRef LFAC As Integer, _
    ByRef NBLOCK As Integer, _
    ByRef INTER As Integer, _
    ByRef IRDF As Integer, _
    ByRef MTERM As Integer, _
    ByRef TABLE As Double, _
    ByRef ITOTAL As Integer, _
    ByRef TMEAN As Double, _
    ByRef MAXT As Integer, _
    ByRef E As Double, _
    ByRef IMEAN As Integer, _
    ByRef SEMEAN As Double, _
    ByRef BMEAN As Double, _
    ByRef R As Double, _
    ByRef IWK As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G04DAF Lib "FLDLL224M_nag.dll" ( _
    ByRef NT As Integer, _
    ByRef TMEAN As Double, _
    ByRef IREP As Integer, _
    ByRef RMS As Double, _
    ByRef RDF As Double, _
    ByRef NC As Integer, _
    ByRef CT As Double, _
    ByRef LDCT As Integer, _
    ByRef EST As Double, _
    ByRef TABL As Double, _
    ByRef LDTABL As Integer, _
    ByRef TOL As Double, _
    ByRef USETX As Integer, _
    ByRef TX As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G04DBF Lib "FLDLL224M_nag.dll" ( _
    ByVal TYP As string, ByVal TYPLength As Integer, _
    ByRef NT As Integer, _
    ByRef TMEAN As Double, _
    ByRef RDF As Double, _
    ByRef C As Double, _
    ByRef LDC As Integer, _
    ByRef CLEVEL As Double, _
    ByRef CIL As Double, _
    ByRef CIU As Double, _
    ByRef ISIG As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G04EAF Lib "FLDLL224M_nag.dll" ( _
    ByVal TYP As string, ByVal TYPLength As Integer, _
    ByRef N As Integer, _
    ByRef LEVELS As Integer, _
    ByRef IFACT As Integer, _
    ByRef X As Double, _
    ByRef LDX As Integer, _
    ByRef V As Double, _
    ByRef REP As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G05HKF Lib "FLDLL224M_nag.dll" ( _
    ByVal DIST As string, ByVal DISTLength As Integer, _
    ByRef NUM As Integer, _
    ByRef IP As Integer, _
    ByRef IQ As Integer, _
    ByRef THETA As Double, _
    ByRef GAMMA As Double, _
    ByRef DF As Double, _
    ByRef HT As Double, _
    ByRef ET As Double, _
    ByRef FCALL As Integer, _
    ByRef RVEC As Double, _
    ByRef IGEN As Integer, _
    ByRef ISEED As Integer, _
    ByRef RWSAV As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G05HLF Lib "FLDLL224M_nag.dll" ( _
    ByVal DIST As string, ByVal DISTLength As Integer, _
    ByRef NUM As Integer, _
    ByRef IP As Integer, _
    ByRef IQ As Integer, _
    ByRef THETA As Double, _
    ByRef GAMMA As Double, _
    ByRef DF As Double, _
    ByRef HT As Double, _
    ByRef ET As Double, _
    ByRef FCALL As Integer, _
    ByRef RVEC As Double, _
    ByRef IGEN As Integer, _
    ByRef ISEED As Integer, _
    ByRef RWSAV As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G05HMF Lib "FLDLL224M_nag.dll" ( _
    ByVal DIST As string, ByVal DISTLength As Integer, _
    ByRef NUM As Integer, _
    ByRef IP As Integer, _
    ByRef IQ As Integer, _
    ByRef THETA As Double, _
    ByRef GAMMA As Double, _
    ByRef DF As Double, _
    ByRef HT As Double, _
    ByRef ET As Double, _
    ByRef FCALL As Integer, _
    ByRef RVEC As Double, _
    ByRef IGEN As Integer, _
    ByRef ISEED As Integer, _
    ByRef RWSAV As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G05HNF Lib "FLDLL224M_nag.dll" ( _
    ByVal DIST As string, ByVal DISTLength As Integer, _
    ByRef NUM As Integer, _
    ByRef IP As Integer, _
    ByRef IQ As Integer, _
    ByRef THETA As Double, _
    ByRef DF As Double, _
    ByRef HT As Double, _
    ByRef ET As Double, _
    ByRef FCALL As Integer, _
    ByRef RVEC As Double, _
    ByRef IGEN As Integer, _
    ByRef ISEED As Integer, _
    ByRef RWSAV As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Function G05KAF Lib "FLDLL224M_nag.dll" ( _
    ByRef IGEN As Integer, _
    ByRef ISEED As Integer _
   ) as Double


   Declare Sub G05KBF Lib "FLDLL224M_nag.dll" ( _
    ByRef IGEN As Integer, _
    ByRef ISEED As Integer _
   )


   Declare Sub G05KCF Lib "FLDLL224M_nag.dll" ( _
    ByRef IGEN As Integer, _
    ByRef ISEED As Integer _
   )


   Declare Function G05KEF Lib "FLDLL224M_nag.dll" ( _
    ByRef P As Double, _
    ByRef IGEN As Integer, _
    ByRef ISEED As Integer, _
    ByRef IFAIL As Integer _
   ) as Integer


   Declare Sub G05KFF Lib "FLDLL224M_nag.dll" ( _
    ByRef GENID As Integer, _
    ByRef SUBID As Integer, _
    ByRef SEED As Integer, _
    ByRef LSEED As Integer, _
    ByRef STATE As Integer, _
    ByRef LSTATE As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G05KGF Lib "FLDLL224M_nag.dll" ( _
    ByRef GENID As Integer, _
    ByRef SUBID As Integer, _
    ByRef STATE As Integer, _
    ByRef LSTATE As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G05KHF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef K As Integer, _
    ByRef STATE As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G05KJF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef STATE As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G05LAF Lib "FLDLL224M_nag.dll" ( _
    ByRef XMU As Double, _
    ByRef VAR As Double, _
    ByRef N As Integer, _
    ByRef X As Double, _
    ByRef IGEN As Integer, _
    ByRef ISEED As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G05LBF Lib "FLDLL224M_nag.dll" ( _
    ByRef DF As Integer, _
    ByRef N As Integer, _
    ByRef X As Double, _
    ByRef IGEN As Integer, _
    ByRef ISEED As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G05LCF Lib "FLDLL224M_nag.dll" ( _
    ByRef DF As Integer, _
    ByRef N As Integer, _
    ByRef X As Double, _
    ByRef IGEN As Integer, _
    ByRef ISEED As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G05LDF Lib "FLDLL224M_nag.dll" ( _
    ByRef DF1 As Integer, _
    ByRef DF2 As Integer, _
    ByRef N As Integer, _
    ByRef X As Double, _
    ByRef IGEN As Integer, _
    ByRef ISEED As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G05LEF Lib "FLDLL224M_nag.dll" ( _
    ByRef A As Double, _
    ByRef B As Double, _
    ByRef N As Integer, _
    ByRef X As Double, _
    ByRef IGEN As Integer, _
    ByRef ISEED As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G05LFF Lib "FLDLL224M_nag.dll" ( _
    ByRef A As Double, _
    ByRef B As Double, _
    ByRef N As Integer, _
    ByRef X As Double, _
    ByRef IGEN As Integer, _
    ByRef ISEED As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G05LGF Lib "FLDLL224M_nag.dll" ( _
    ByRef A As Double, _
    ByRef B As Double, _
    ByRef N As Integer, _
    ByRef X As Double, _
    ByRef IGEN As Integer, _
    ByRef ISEED As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G05LHF Lib "FLDLL224M_nag.dll" ( _
    ByRef XMIN As Double, _
    ByRef XMAX As Double, _
    ByRef XMED As Double, _
    ByRef N As Integer, _
    ByRef X As Double, _
    ByRef IGEN As Integer, _
    ByRef ISEED As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G05LJF Lib "FLDLL224M_nag.dll" ( _
    ByRef A As Double, _
    ByRef N As Integer, _
    ByRef X As Double, _
    ByRef IGEN As Integer, _
    ByRef ISEED As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G05LKF Lib "FLDLL224M_nag.dll" ( _
    ByRef XMU As Double, _
    ByRef VAR As Double, _
    ByRef N As Integer, _
    ByRef X As Double, _
    ByRef IGEN As Integer, _
    ByRef ISEED As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G05LLF Lib "FLDLL224M_nag.dll" ( _
    ByRef XMED As Double, _
    ByRef SEMIQR As Double, _
    ByRef N As Integer, _
    ByRef X As Double, _
    ByRef IGEN As Integer, _
    ByRef ISEED As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G05LMF Lib "FLDLL224M_nag.dll" ( _
    ByRef A As Double, _
    ByRef B As Double, _
    ByRef N As Integer, _
    ByRef X As Double, _
    ByRef IGEN As Integer, _
    ByRef ISEED As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G05LNF Lib "FLDLL224M_nag.dll" ( _
    ByRef A As Double, _
    ByRef B As Double, _
    ByRef N As Integer, _
    ByRef X As Double, _
    ByRef IGEN As Integer, _
    ByRef ISEED As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G05LPF Lib "FLDLL224M_nag.dll" ( _
    ByRef VK As Double, _
    ByRef N As Integer, _
    ByRef X As Double, _
    ByRef IGEN As Integer, _
    ByRef ISEED As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G05LQF Lib "FLDLL224M_nag.dll" ( _
    ByRef NMIX As Integer, _
    ByRef A As Double, _
    ByRef WGT As Double, _
    ByRef N As Integer, _
    ByRef X As Double, _
    ByRef IGEN As Integer, _
    ByRef ISEED As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G05LXF Lib "FLDLL224M_nag.dll" ( _
    ByRef MODE As Integer, _
    ByRef DF As Integer, _
    ByRef M As Integer, _
    ByRef XMU As Double, _
    ByRef C As Double, _
    ByRef LDC As Integer, _
    ByRef N As Integer, _
    ByRef X As Double, _
    ByRef LDX As Integer, _
    ByRef IGEN As Integer, _
    ByRef ISEED As Integer, _
    ByRef R As Double, _
    ByRef LR As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G05LYF Lib "FLDLL224M_nag.dll" ( _
    ByRef MODE As Integer, _
    ByRef M As Integer, _
    ByRef XMU As Double, _
    ByRef C As Double, _
    ByRef LDC As Integer, _
    ByRef N As Integer, _
    ByRef X As Double, _
    ByRef LDX As Integer, _
    ByRef IGEN As Integer, _
    ByRef ISEED As Integer, _
    ByRef R As Double, _
    ByRef LR As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G05LZF Lib "FLDLL224M_nag.dll" ( _
    ByRef MODE As Integer, _
    ByRef N As Integer, _
    ByRef XMU As Double, _
    ByRef C As Double, _
    ByRef LDC As Integer, _
    ByRef X As Double, _
    ByRef IGEN As Integer, _
    ByRef ISEED As Integer, _
    ByRef R As Double, _
    ByRef NR As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G05MAF Lib "FLDLL224M_nag.dll" ( _
    ByRef A As Integer, _
    ByRef B As Integer, _
    ByRef N As Integer, _
    ByRef X As Integer, _
    ByRef IGEN As Integer, _
    ByRef ISEED As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G05MBF Lib "FLDLL224M_nag.dll" ( _
    ByRef MODE As Integer, _
    ByRef P As Double, _
    ByRef N As Integer, _
    ByRef X As Integer, _
    ByRef IGEN As Integer, _
    ByRef ISEED As Integer, _
    ByRef R As Double, _
    ByRef NR As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G05MCF Lib "FLDLL224M_nag.dll" ( _
    ByRef MODE As Integer, _
    ByRef M As Integer, _
    ByRef P As Double, _
    ByRef N As Integer, _
    ByRef X As Integer, _
    ByRef IGEN As Integer, _
    ByRef ISEED As Integer, _
    ByRef R As Double, _
    ByRef NR As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G05MDF Lib "FLDLL224M_nag.dll" ( _
    ByRef MODE As Integer, _
    ByRef A As Double, _
    ByRef N As Integer, _
    ByRef X As Integer, _
    ByRef IGEN As Integer, _
    ByRef ISEED As Integer, _
    ByRef R As Double, _
    ByRef NR As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G05MEF Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, _
    ByRef VLAMDA As Double, _
    ByRef X As Integer, _
    ByRef IGEN As Integer, _
    ByRef ISEED As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G05MJF Lib "FLDLL224M_nag.dll" ( _
    ByRef MODE As Integer, _
    ByRef M As Integer, _
    ByRef P As Double, _
    ByRef N As Integer, _
    ByRef X As Integer, _
    ByRef IGEN As Integer, _
    ByRef ISEED As Integer, _
    ByRef R As Double, _
    ByRef NR As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G05MKF Lib "FLDLL224M_nag.dll" ( _
    ByRef MODE As Integer, _
    ByRef LAMBDA As Double, _
    ByRef N As Integer, _
    ByRef X As Integer, _
    ByRef IGEN As Integer, _
    ByRef ISEED As Integer, _
    ByRef R As Double, _
    ByRef NR As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G05MLF Lib "FLDLL224M_nag.dll" ( _
    ByRef MODE As Integer, _
    ByRef NS As Integer, _
    ByRef NP As Integer, _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef X As Integer, _
    ByRef IGEN As Integer, _
    ByRef ISEED As Integer, _
    ByRef R As Double, _
    ByRef NR As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G05MRF Lib "FLDLL224M_nag.dll" ( _
    ByRef MODE As Integer, _
    ByRef M As Integer, _
    ByRef K As Integer, _
    ByRef P As Double, _
    ByRef N As Integer, _
    ByRef X As Integer, _
    ByRef LDX As Integer, _
    ByRef IGEN As Integer, _
    ByRef ISEED As Integer, _
    ByRef R As Double, _
    ByRef NR As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G05MZF Lib "FLDLL224M_nag.dll" ( _
    ByRef MODE As Integer, _
    ByRef P As Double, _
    ByRef NP As Integer, _
    ByRef IP1 As Integer, _
    ByRef ITYPE As Integer, _
    ByRef N As Integer, _
    ByRef X As Integer, _
    ByRef IGEN As Integer, _
    ByRef ISEED As Integer, _
    ByRef R As Double, _
    ByRef NR As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G05NAF Lib "FLDLL224M_nag.dll" ( _
    ByRef INDEX As Integer, _
    ByRef N As Integer, _
    ByRef IGEN As Integer, _
    ByRef ISEED As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G05NBF Lib "FLDLL224M_nag.dll" ( _
    ByRef IPOP As Integer, _
    ByRef N As Integer, _
    ByRef ISAMPL As Integer, _
    ByRef M As Integer, _
    ByRef IGEN As Integer, _
    ByRef ISEED As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G05NCF Lib "FLDLL224M_nag.dll" ( _
    ByRef INDEX As Integer, _
    ByRef N As Integer, _
    ByRef STATE As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G05NDF Lib "FLDLL224M_nag.dll" ( _
    ByRef IPOP As Integer, _
    ByRef N As Integer, _
    ByRef ISAMPL As Integer, _
    ByRef M As Integer, _
    ByRef STATE As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G05PAF Lib "FLDLL224M_nag.dll" ( _
    ByRef MODE As Integer, _
    ByRef XMEAN As Double, _
    ByRef IP As Integer, _
    ByRef PHI As Double, _
    ByRef IQ As Integer, _
    ByRef THETA As Double, _
    ByRef AVAR As Double, _
    ByRef VAR As Double, _
    ByRef N As Integer, _
    ByRef X As Double, _
    ByRef IGEN As Integer, _
    ByRef ISEED As Integer, _
    ByRef R As Double, _
    ByRef NR As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G05PCF Lib "FLDLL224M_nag.dll" ( _
    ByRef MODE As Integer, _
    ByRef K As Integer, _
    ByRef XMEAN As Double, _
    ByRef IP As Integer, _
    ByRef PHI As Double, _
    ByRef IQ As Integer, _
    ByRef THETA As Double, _
    ByRef VAR As Double, _
    ByRef LDVAR As Integer, _
    ByRef N As Integer, _
    ByRef X As Double, _
    ByRef IGEN As Integer, _
    ByRef ISEED As Integer, _
    ByRef R As Double, _
    ByRef NR As Integer, _
    ByRef IWORK As Integer, _
    ByRef LIWORK As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G05PDF Lib "FLDLL224M_nag.dll" ( _
    ByVal DIST As string, ByVal DISTLength As Integer, _
    ByRef NUM As Integer, _
    ByRef IP As Integer, _
    ByRef IQ As Integer, _
    ByRef THETA As Double, _
    ByRef GAMMA As Double, _
    ByRef DF As Integer, _
    ByRef HT As Double, _
    ByRef ET As Double, _
    ByRef FCALL As Integer, _
    ByRef R As Double, _
    ByRef LR As Integer, _
    ByRef STATE As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G05PEF Lib "FLDLL224M_nag.dll" ( _
    ByVal DIST As string, ByVal DISTLength As Integer, _
    ByRef NUM As Integer, _
    ByRef IP As Integer, _
    ByRef IQ As Integer, _
    ByRef THETA As Double, _
    ByRef GAMMA As Double, _
    ByRef DF As Integer, _
    ByRef HT As Double, _
    ByRef ET As Double, _
    ByRef FCALL As Integer, _
    ByRef R As Double, _
    ByRef LR As Integer, _
    ByRef STATE As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G05PFF Lib "FLDLL224M_nag.dll" ( _
    ByVal DIST As string, ByVal DISTLength As Integer, _
    ByRef NUM As Integer, _
    ByRef IP As Integer, _
    ByRef IQ As Integer, _
    ByRef THETA As Double, _
    ByRef GAMMA As Double, _
    ByRef DF As Integer, _
    ByRef HT As Double, _
    ByRef ET As Double, _
    ByRef FCALL As Integer, _
    ByRef R As Double, _
    ByRef LR As Integer, _
    ByRef STATE As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G05PGF Lib "FLDLL224M_nag.dll" ( _
    ByVal DIST As string, ByVal DISTLength As Integer, _
    ByRef NUM As Integer, _
    ByRef IP As Integer, _
    ByRef IQ As Integer, _
    ByRef THETA As Double, _
    ByRef DF As Integer, _
    ByRef HT As Double, _
    ByRef ET As Double, _
    ByRef FCALL As Integer, _
    ByRef R As Double, _
    ByRef LR As Integer, _
    ByRef STATE As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G05PHF Lib "FLDLL224M_nag.dll" ( _
    ByRef MODE As Integer, _
    ByRef N As Integer, _
    ByRef XMEAN As Double, _
    ByRef IP As Integer, _
    ByRef PHI As Double, _
    ByRef IQ As Integer, _
    ByRef THETA As Double, _
    ByRef AVAR As Double, _
    ByRef R As Double, _
    ByRef LR As Integer, _
    ByRef STATE As Integer, _
    ByRef VAR As Double, _
    ByRef X As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G05PJF Lib "FLDLL224M_nag.dll" ( _
    ByRef MODE As Integer, _
    ByRef N As Integer, _
    ByRef K As Integer, _
    ByRef XMEAN As Double, _
    ByRef IP As Integer, _
    ByRef PHI As Double, _
    ByRef IQ As Integer, _
    ByRef THETA As Double, _
    ByRef VAR As Double, _
    ByRef LDV As Integer, _
    ByRef R As Double, _
    ByRef LR As Integer, _
    ByRef STATE As Integer, _
    ByRef X As Double, _
    ByRef LDX As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G05PMF Lib "FLDLL224M_nag.dll" ( _
    ByRef MODE As Integer, _
    ByRef N As Integer, _
    ByRef ITYPE As Integer, _
    ByRef P As Integer, _
    ByRef PARAM As Double, _
    ByRef INIT As Double, _
    ByRef VAR As Double, _
    ByRef R As Double, _
    ByRef STATE As Integer, _
    ByRef E As Double, _
    ByRef EN As Integer, _
    ByRef X As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G05PXF Lib "FLDLL224M_nag.dll" ( _
    ByVal SIDE As string, ByVal SIDELength As Integer, _
    ByVal INIT As string, ByVal INITLength As Integer, _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef STATE As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G05PYF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef D As Double, _
    ByRef EPS As Double, _
    ByRef STATE As Integer, _
    ByRef C As Double, _
    ByRef LDC As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G05PZF Lib "FLDLL224M_nag.dll" ( _
    ByRef MODE As Integer, _
    ByRef NROW As Integer, _
    ByRef NCOL As Integer, _
    ByRef TOTR As Integer, _
    ByRef TOTC As Integer, _
    ByRef R As Double, _
    ByRef LR As Integer, _
    ByRef STATE As Integer, _
    ByRef X As Integer, _
    ByRef LDX As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G05QAF Lib "FLDLL224M_nag.dll" ( _
    ByVal SIDE As string, ByVal SIDELength As Integer, _
    ByVal INIT As string, ByVal INITLength As Integer, _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef IGEN As Integer, _
    ByRef ISEED As Integer, _
    ByRef WK As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G05QBF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef D As Double, _
    ByRef C As Double, _
    ByRef LDC As Integer, _
    ByRef EPS As Double, _
    ByRef IGEN As Integer, _
    ByRef ISEED As Integer, _
    ByRef WK As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G05QDF Lib "FLDLL224M_nag.dll" ( _
    ByRef MODE As Integer, _
    ByRef NROW As Integer, _
    ByRef NCOL As Integer, _
    ByRef TOTR As Integer, _
    ByRef TOTC As Integer, _
    ByRef X As Integer, _
    ByRef LDX As Integer, _
    ByRef IGEN As Integer, _
    ByRef ISEED As Integer, _
    ByRef R As Double, _
    ByRef NR As Integer, _
    ByRef IW As Integer, _
    ByRef LIW As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G05RAF Lib "FLDLL224M_nag.dll" ( _
    ByRef MODE As Integer, _
    ByRef M As Integer, _
    ByRef C As Double, _
    ByRef LDC As Integer, _
    ByRef N As Integer, _
    ByRef X As Double, _
    ByRef LDX As Integer, _
    ByRef IGEN As Integer, _
    ByRef ISEED As Integer, _
    ByRef R As Double, _
    ByRef LR As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G05RBF Lib "FLDLL224M_nag.dll" ( _
    ByRef MODE As Integer, _
    ByRef DF As Integer, _
    ByRef M As Integer, _
    ByRef C As Double, _
    ByRef LDC As Integer, _
    ByRef N As Integer, _
    ByRef X As Double, _
    ByRef LDX As Integer, _
    ByRef IGEN As Integer, _
    ByRef ISEED As Integer, _
    ByRef R As Double, _
    ByRef LR As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G05RCF Lib "FLDLL224M_nag.dll" ( _
    ByRef MODE As Integer, _
    ByRef N As Integer, _
    ByRef DF As Integer, _
    ByRef M As Integer, _
    ByRef C As Double, _
    ByRef LDC As Integer, _
    ByRef R As Double, _
    ByRef LR As Integer, _
    ByRef STATE As Integer, _
    ByRef X As Double, _
    ByRef LDX As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G05RDF Lib "FLDLL224M_nag.dll" ( _
    ByRef MODE As Integer, _
    ByRef N As Integer, _
    ByRef M As Integer, _
    ByRef C As Double, _
    ByRef LDC As Integer, _
    ByRef R As Double, _
    ByRef LR As Integer, _
    ByRef STATE As Integer, _
    ByRef X As Double, _
    ByRef LDX As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G05RYF Lib "FLDLL224M_nag.dll" ( _
    ByRef MODE As Integer, _
    ByRef N As Integer, _
    ByRef DF As Integer, _
    ByRef M As Integer, _
    ByRef XMU As Double, _
    ByRef C As Double, _
    ByRef LDC As Integer, _
    ByRef R As Double, _
    ByRef LR As Integer, _
    ByRef STATE As Integer, _
    ByRef X As Double, _
    ByRef LDX As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G05RZF Lib "FLDLL224M_nag.dll" ( _
    ByRef MODE As Integer, _
    ByRef N As Integer, _
    ByRef M As Integer, _
    ByRef XMU As Double, _
    ByRef C As Double, _
    ByRef LDC As Integer, _
    ByRef R As Double, _
    ByRef LR As Integer, _
    ByRef STATE As Integer, _
    ByRef X As Double, _
    ByRef LDX As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G05SAF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef STATE As Integer, _
    ByRef X As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G05SBF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef A As Double, _
    ByRef B As Double, _
    ByRef STATE As Integer, _
    ByRef X As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G05SCF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef XMED As Double, _
    ByRef SEMIQR As Double, _
    ByRef STATE As Integer, _
    ByRef X As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G05SDF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef DF As Integer, _
    ByRef STATE As Integer, _
    ByRef X As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G05SEF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef M As Integer, _
    ByRef A As Double, _
    ByRef STATE As Integer, _
    ByRef X As Double, _
    ByRef LDX As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G05SFF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef A As Double, _
    ByRef STATE As Integer, _
    ByRef X As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G05SGF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef NMIX As Integer, _
    ByRef A As Double, _
    ByRef WGT As Double, _
    ByRef STATE As Integer, _
    ByRef X As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G05SHF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef DF1 As Integer, _
    ByRef DF2 As Integer, _
    ByRef STATE As Integer, _
    ByRef X As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G05SJF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef A As Double, _
    ByRef B As Double, _
    ByRef STATE As Integer, _
    ByRef X As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G05SKF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef XMU As Double, _
    ByRef VAR As Double, _
    ByRef STATE As Integer, _
    ByRef X As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G05SLF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef A As Double, _
    ByRef B As Double, _
    ByRef STATE As Integer, _
    ByRef X As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G05SMF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef XMU As Double, _
    ByRef VAR As Double, _
    ByRef STATE As Integer, _
    ByRef X As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G05SNF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef DF As Integer, _
    ByRef STATE As Integer, _
    ByRef X As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G05SPF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef XMIN As Double, _
    ByRef XMED As Double, _
    ByRef XMAX As Double, _
    ByRef STATE As Integer, _
    ByRef X As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G05SQF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef A As Double, _
    ByRef B As Double, _
    ByRef STATE As Integer, _
    ByRef X As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G05SRF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef VK As Double, _
    ByRef STATE As Integer, _
    ByRef X As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G05SSF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef A As Double, _
    ByRef B As Double, _
    ByRef STATE As Integer, _
    ByRef X As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G05TAF Lib "FLDLL224M_nag.dll" ( _
    ByRef MODE As Integer, _
    ByRef N As Integer, _
    ByRef M As Integer, _
    ByRef P As Double, _
    ByRef R As Double, _
    ByRef LR As Integer, _
    ByRef STATE As Integer, _
    ByRef X As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G05TBF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef P As Double, _
    ByRef STATE As Integer, _
    ByRef X As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G05TCF Lib "FLDLL224M_nag.dll" ( _
    ByRef MODE As Integer, _
    ByRef N As Integer, _
    ByRef P As Double, _
    ByRef R As Double, _
    ByRef LR As Integer, _
    ByRef STATE As Integer, _
    ByRef X As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G05TDF Lib "FLDLL224M_nag.dll" ( _
    ByRef MODE As Integer, _
    ByRef N As Integer, _
    ByRef P As Double, _
    ByRef NP As Integer, _
    ByRef IP1 As Integer, _
    ByRef ITYPE As Integer, _
    ByRef R As Double, _
    ByRef LR As Integer, _
    ByRef STATE As Integer, _
    ByRef X As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G05TEF Lib "FLDLL224M_nag.dll" ( _
    ByRef MODE As Integer, _
    ByRef N As Integer, _
    ByRef NS As Integer, _
    ByRef NP As Integer, _
    ByRef M As Integer, _
    ByRef R As Double, _
    ByRef LR As Integer, _
    ByRef STATE As Integer, _
    ByRef X As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G05TFF Lib "FLDLL224M_nag.dll" ( _
    ByRef MODE As Integer, _
    ByRef N As Integer, _
    ByRef A As Double, _
    ByRef R As Double, _
    ByRef LR As Integer, _
    ByRef STATE As Integer, _
    ByRef X As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G05TGF Lib "FLDLL224M_nag.dll" ( _
    ByRef MODE As Integer, _
    ByRef N As Integer, _
    ByRef M As Integer, _
    ByRef K As Integer, _
    ByRef P As Double, _
    ByRef R As Double, _
    ByRef LR As Integer, _
    ByRef STATE As Integer, _
    ByRef X As Integer, _
    ByRef LDX As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G05THF Lib "FLDLL224M_nag.dll" ( _
    ByRef MODE As Integer, _
    ByRef N As Integer, _
    ByRef M As Integer, _
    ByRef P As Double, _
    ByRef R As Double, _
    ByRef LR As Integer, _
    ByRef STATE As Integer, _
    ByRef X As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G05TJF Lib "FLDLL224M_nag.dll" ( _
    ByRef MODE As Integer, _
    ByRef N As Integer, _
    ByRef LAMBDA As Double, _
    ByRef R As Double, _
    ByRef LR As Integer, _
    ByRef STATE As Integer, _
    ByRef X As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G05TKF Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, _
    ByRef VLAMDA As Double, _
    ByRef STATE As Integer, _
    ByRef X As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G05TLF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef A As Integer, _
    ByRef B As Integer, _
    ByRef STATE As Integer, _
    ByRef X As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G05YAF Lib "FLDLL224M_nag.dll" ( _
    ByRef FCALL As Integer, _
    ByVal SEQ As string, ByVal SEQLength As Integer, _
    ByRef ISKIP As Integer, _
    ByRef IDIM As Integer, _
    ByRef QUASI As Double, _
    ByRef IREF As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G05YBF Lib "FLDLL224M_nag.dll" ( _
    ByRef FCALL As Integer, _
    ByVal SEQ As string, ByVal SEQLength As Integer, _
    ByRef LNORM As Integer, _
    ByRef MEAN As Double, _
    ByRef STD As Double, _
    ByRef ISKIP As Integer, _
    ByRef IDIM As Integer, _
    ByRef QUASI As Double, _
    ByRef IREF As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G05YCF Lib "FLDLL224M_nag.dll" ( _
    ByRef IDIM As Integer, _
    ByRef IREF As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G05YDF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef QUASI As Double, _
    ByRef IREF As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G05YEF Lib "FLDLL224M_nag.dll" ( _
    ByRef IDIM As Integer, _
    ByRef IREF As Integer, _
    ByRef ISKIP As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G05YFF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef QUASI As Double, _
    ByRef IREF As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G05YGF Lib "FLDLL224M_nag.dll" ( _
    ByRef IDIM As Integer, _
    ByRef IREF As Integer, _
    ByRef ISKIP As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G05YHF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef QUASI As Double, _
    ByRef IREF As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G05YJF Lib "FLDLL224M_nag.dll" ( _
    ByRef XMEAN As Double, _
    ByRef STD As Double, _
    ByRef N As Integer, _
    ByRef QUAS As Double, _
    ByRef IREF As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G05YKF Lib "FLDLL224M_nag.dll" ( _
    ByRef XMEAN As Double, _
    ByRef STD As Double, _
    ByRef N As Integer, _
    ByRef QUASI As Double, _
    ByRef IREF As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G05YLF Lib "FLDLL224M_nag.dll" ( _
    ByRef GENID As Integer, _
    ByRef IDIM As Integer, _
    ByRef IREF As Integer, _
    ByRef LIREF As Integer, _
    ByRef ISKIP As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G05YMF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef RCORD As Integer, _
    ByRef QUAS As Double, _
    ByRef LDQUAS As Integer, _
    ByRef IREF As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G05YNF Lib "FLDLL224M_nag.dll" ( _
    ByRef GENID As Integer, _
    ByRef STYPE As Integer, _
    ByRef IDIM As Integer, _
    ByRef IREF As Integer, _
    ByRef LIREF As Integer, _
    ByRef ISKIP As Integer, _
    ByRef NSDIGI As Integer, _
    ByRef STATE As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G07AAF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef K As Integer, _
    ByRef CLEVEL As Double, _
    ByRef PL As Double, _
    ByRef PU As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G07ABF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef XMEAN As Double, _
    ByRef CLEVEL As Double, _
    ByRef TL As Double, _
    ByRef TU As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G07BBF Lib "FLDLL224M_nag.dll" ( _
    ByVal METHOD As string, ByVal METHODLength As Integer, _
    ByRef N As Integer, _
    ByRef X As Double, _
    ByRef XC As Double, _
    ByRef IC As Integer, _
    ByRef XMU As Double, _
    ByRef XSIG As Double, _
    ByRef TOL As Double, _
    ByRef MAXIT As Integer, _
    ByRef SEXMU As Double, _
    ByRef SEXSIG As Double, _
    ByRef CORR As Double, _
    ByRef DEV As Double, _
    ByRef NOBS As Integer, _
    ByRef NIT As Integer, _
    ByRef WK As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G07BEF Lib "FLDLL224M_nag.dll" ( _
    ByVal CENS As string, ByVal CENSLength As Integer, _
    ByRef N As Integer, _
    ByRef X As Double, _
    ByRef IC As Integer, _
    ByRef BETA As Double, _
    ByRef GAMMA As Double, _
    ByRef TOL As Double, _
    ByRef MAXIT As Integer, _
    ByRef SEBETA As Double, _
    ByRef SEGAM As Double, _
    ByRef CORR As Double, _
    ByRef DEV As Double, _
    ByRef NIT As Integer, _
    ByRef WK As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G07CAF Lib "FLDLL224M_nag.dll" ( _
    ByVal TAIL As string, ByVal TAILLength As Integer, _
    ByVal EQUAL As string, ByVal EQUALLength As Integer, _
    ByRef NX As Integer, _
    ByRef NY As Integer, _
    ByRef XMEAN As Double, _
    ByRef YMEAN As Double, _
    ByRef XSTD As Double, _
    ByRef YSTD As Double, _
    ByRef CLEVEL As Double, _
    ByRef T As Double, _
    ByRef DF As Double, _
    ByRef PROB As Double, _
    ByRef DL As Double, _
    ByRef DU As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G07DAF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef X As Double, _
    ByRef Y As Double, _
    ByRef XME As Double, _
    ByRef XMD As Double, _
    ByRef XSD As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G07DBF Lib "FLDLL224M_nag.dll" ( _
    ByRef ISIGMA As Integer, _
    ByRef N As Integer, _
    ByRef X As Double, _
    ByRef IPSI As Integer, _
    ByRef C As Double, _
    ByRef H1 As Double, _
    ByRef H2 As Double, _
    ByRef H3 As Double, _
    ByRef DCHI As Double, _
    ByRef THETA As Double, _
    ByRef SIGMA As Double, _
    ByRef MAXIT As Integer, _
    ByRef TOL As Double, _
    ByRef RS As Double, _
    ByRef NIT As Integer, _
    ByRef WRK As Double, _
    ByRef IFAIL As Integer _
   )


  Delegate Function G07DCF_CHI_DELEGATE( _
    ByRef T As Double _
  ) as Double

  Delegate Function G07DCF_PSI_DELEGATE( _
    ByRef T As Double _
  ) as Double

   Declare Sub G07DCF Lib "FLDLL224M_nag.dll" ( _
    ByVal CHI As G07DCF_CHI_DELEGATE, _
    ByVal PSI As G07DCF_PSI_DELEGATE, _
    ByRef ISIGMA As Integer, _
    ByRef N As Integer, _
    ByRef X As Double, _
    ByRef BETA As Double, _
    ByRef THETA As Double, _
    ByRef SIGMA As Double, _
    ByRef MAXIT As Integer, _
    ByRef TOL As Double, _
    ByRef RS As Double, _
    ByRef NIT As Integer, _
    ByRef WRK As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G07DDF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef X As Double, _
    ByRef ALPHA As Double, _
    ByRef TMEAN As Double, _
    ByRef WMEAN As Double, _
    ByRef TVAR As Double, _
    ByRef WVAR As Double, _
    ByRef K As Integer, _
    ByRef SX As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G07EAF Lib "FLDLL224M_nag.dll" ( _
    ByVal METHOD As string, ByVal METHODLength As Integer, _
    ByRef N As Integer, _
    ByRef X As Double, _
    ByRef CLEVEL As Double, _
    ByRef THETA As Double, _
    ByRef THETAL As Double, _
    ByRef THETAU As Double, _
    ByRef ESTCL As Double, _
    ByRef WLOWER As Double, _
    ByRef WUPPER As Double, _
    ByRef WRK As Double, _
    ByRef IWRK As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G07EBF Lib "FLDLL224M_nag.dll" ( _
    ByVal METHOD As string, ByVal METHODLength As Integer, _
    ByRef N As Integer, _
    ByRef X As Double, _
    ByRef M As Integer, _
    ByRef Y As Double, _
    ByRef CLEVEL As Double, _
    ByRef THETA As Double, _
    ByRef THETAL As Double, _
    ByRef THETAU As Double, _
    ByRef ESTCL As Double, _
    ByRef ULOWER As Double, _
    ByRef UUPPER As Double, _
    ByRef WRK As Double, _
    ByRef IWRK As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G08AAF Lib "FLDLL224M_nag.dll" ( _
    ByRef X As Double, _
    ByRef Y As Double, _
    ByRef N As Integer, _
    ByRef ISGN As Integer, _
    ByRef N1 As Integer, _
    ByRef P As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G08ACF Lib "FLDLL224M_nag.dll" ( _
    ByRef X As Double, _
    ByRef N As Integer, _
    ByRef N1 As Integer, _
    ByRef W As Double, _
    ByRef I1 As Integer, _
    ByRef I2 As Integer, _
    ByRef P As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G08AEF Lib "FLDLL224M_nag.dll" ( _
    ByRef X As Double, _
    ByRef LDX As Integer, _
    ByRef K As Integer, _
    ByRef N As Integer, _
    ByRef W1 As Double, _
    ByRef W2 As Double, _
    ByRef FR As Double, _
    ByRef P As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G08AFF Lib "FLDLL224M_nag.dll" ( _
    ByRef X As Double, _
    ByRef LX As Integer, _
    ByRef L As Integer, _
    ByRef K As Integer, _
    ByRef W As Double, _
    ByRef H As Double, _
    ByRef P As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G08AGF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef X As Double, _
    ByRef XME As Double, _
    ByVal TAIL As string, ByVal TAILLength As Integer, _
    ByVal ZEROS As string, ByVal ZEROSLength As Integer, _
    ByRef W As Double, _
    ByRef WNOR As Double, _
    ByRef P As Double, _
    ByRef N1 As Integer, _
    ByRef WRK As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G08AHF Lib "FLDLL224M_nag.dll" ( _
    ByRef N1 As Integer, _
    ByRef X As Double, _
    ByRef N2 As Integer, _
    ByRef Y As Double, _
    ByVal TAIL As string, ByVal TAILLength As Integer, _
    ByRef U As Double, _
    ByRef UNOR As Double, _
    ByRef P As Double, _
    ByRef TIES As Integer, _
    ByRef RANKS As Double, _
    ByRef WRK As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G08AJF Lib "FLDLL224M_nag.dll" ( _
    ByRef N1 As Integer, _
    ByRef N2 As Integer, _
    ByVal TAIL As string, ByVal TAILLength As Integer, _
    ByRef U As Double, _
    ByRef P As Double, _
    ByRef WRK As Double, _
    ByRef LWRK As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G08AKF Lib "FLDLL224M_nag.dll" ( _
    ByRef N1 As Integer, _
    ByRef N2 As Integer, _
    ByVal TAIL As string, ByVal TAILLength As Integer, _
    ByRef RANKS As Double, _
    ByRef U As Double, _
    ByRef P As Double, _
    ByRef WRK As Double, _
    ByRef LWRK As Integer, _
    ByRef IWRK As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G08ALF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef K As Integer, _
    ByRef X As Double, _
    ByRef LDX As Integer, _
    ByRef Q As Double, _
    ByRef PROB As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G08BAF Lib "FLDLL224M_nag.dll" ( _
    ByRef X As Double, _
    ByRef N As Integer, _
    ByRef N1 As Integer, _
    ByRef R As Double, _
    ByRef ITEST As Integer, _
    ByRef W As Double, _
    ByRef V As Double, _
    ByRef PW As Double, _
    ByRef PV As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G08CBF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef X As Double, _
    ByVal DIST As string, ByVal DISTLength As Integer, _
    ByRef PAR As Double, _
    ByVal ESTIMA As string, ByVal ESTIMALength As Integer, _
    ByRef NTYPE As Integer, _
    ByRef D As Double, _
    ByRef Z As Double, _
    ByRef P As Double, _
    ByRef SX As Double, _
    ByRef IFAIL As Integer _
   )


  Delegate Function G08CCF_CDF_DELEGATE( _
    ByRef X As Double _
  ) as Double

   Declare Sub G08CCF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef X As Double, _
    ByVal CDF As G08CCF_CDF_DELEGATE, _
    ByRef NTYPE As Integer, _
    ByRef D As Double, _
    ByRef Z As Double, _
    ByRef P As Double, _
    ByRef SX As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G08CDF Lib "FLDLL224M_nag.dll" ( _
    ByRef N1 As Integer, _
    ByRef X As Double, _
    ByRef N2 As Integer, _
    ByRef Y As Double, _
    ByRef NTYPE As Integer, _
    ByRef D As Double, _
    ByRef Z As Double, _
    ByRef P As Double, _
    ByRef SX As Double, _
    ByRef SY As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G08CGF Lib "FLDLL224M_nag.dll" ( _
    ByRef NCLASS As Integer, _
    ByRef IFREQ As Integer, _
    ByRef CB As Double, _
    ByVal DIST As string, ByVal DISTLength As Integer, _
    ByRef PAR As Double, _
    ByRef NPEST As Integer, _
    ByRef PROB As Double, _
    ByRef CHISQ As Double, _
    ByRef P As Double, _
    ByRef NDF As Integer, _
    ByRef EVAL As Double, _
    ByRef CHISQI As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G08DAF Lib "FLDLL224M_nag.dll" ( _
    ByRef X As Double, _
    ByRef LDX As Integer, _
    ByRef K As Integer, _
    ByRef N As Integer, _
    ByRef RNK As Double, _
    ByRef W As Double, _
    ByRef P As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G08EAF Lib "FLDLL224M_nag.dll" ( _
    ByVal CL As string, ByVal CLLength As Integer, _
    ByRef N As Integer, _
    ByRef X As Double, _
    ByRef M As Integer, _
    ByRef MAXR As Integer, _
    ByRef NRUNS As Integer, _
    ByRef NCOUNT As Integer, _
    ByRef EX As Double, _
    ByRef COV As Double, _
    ByRef LDCOV As Integer, _
    ByRef CHI As Double, _
    ByRef DF As Double, _
    ByRef PROB As Double, _
    ByRef WRK As Double, _
    ByRef LWRK As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G08EBF Lib "FLDLL224M_nag.dll" ( _
    ByVal CL As string, ByVal CLLength As Integer, _
    ByRef N As Integer, _
    ByRef X As Double, _
    ByRef MSIZE As Integer, _
    ByRef LAG As Integer, _
    ByRef NCOUNT As Integer, _
    ByRef LDC As Integer, _
    ByRef EX As Double, _
    ByRef CHI As Double, _
    ByRef DF As Double, _
    ByRef PROB As Double, _
    ByRef WRK As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G08ECF Lib "FLDLL224M_nag.dll" ( _
    ByVal CL As string, ByVal CLLength As Integer, _
    ByRef N As Integer, _
    ByRef X As Double, _
    ByRef MSIZE As Integer, _
    ByRef NCOUNT As Integer, _
    ByRef LDC As Integer, _
    ByRef EX As Double, _
    ByRef CHI As Double, _
    ByRef DF As Double, _
    ByRef PROB As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G08EDF Lib "FLDLL224M_nag.dll" ( _
    ByVal CL As string, ByVal CLLength As Integer, _
    ByRef N As Integer, _
    ByRef X As Double, _
    ByRef M As Integer, _
    ByRef MAXG As Integer, _
    ByRef RLO As Double, _
    ByRef RUP As Double, _
    ByRef TOTLEN As Double, _
    ByRef NGAPS As Integer, _
    ByRef NCOUNT As Integer, _
    ByRef EX As Double, _
    ByRef CHI As Double, _
    ByRef DF As Double, _
    ByRef PROB As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G08RAF Lib "FLDLL224M_nag.dll" ( _
    ByRef NS As Integer, ByRef NV As Integer, ByRef NSUM As Integer, _
    ByRef Y As Double, ByRef IP As Integer, ByRef X As Double, _
    ByRef LDX As Integer, ByRef IDIST As Integer, ByRef NMAX As Integer, _
    ByRef TOL As Double, ByRef PRVR As Double, ByRef LDPRVR As Integer, _
    ByRef IRANK As Integer, ByRef ZIN As Double, ByRef ETA As Double, _
    ByRef VAPVEC As Double, ByRef PAREST As Double, ByRef WORK As Double, _
    ByRef LWORK As Integer, ByRef IWA As Integer, ByRef IFAIL As Integer _
   )


   Declare Sub G08RBF Lib "FLDLL224M_nag.dll" ( _
    ByRef NS As Integer, ByRef NV As Integer, ByRef NSUM As Integer, _
    ByRef Y As Double, ByRef IP As Integer, ByRef X As Double, _
    ByRef LDX As Integer, ByRef ICEN As Integer, ByRef GAMMA As Double, _
    ByRef NMAX As Integer, ByRef TOL As Double, ByRef PRVR As Double, _
    ByRef LDPRVR As Integer, ByRef IRANK As Integer, ByRef ZIN As Double, _
    ByRef ETA As Double, ByRef VAPVEC As Double, ByRef PAREST As Double, _
    ByRef WORK As Double, ByRef LWORK As Integer, ByRef IWA As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G10ABF Lib "FLDLL224M_nag.dll" ( _
    ByVal MODE As string, ByVal MODELength As Integer, _
    ByVal WEIGHT As string, ByVal WEIGHTLength As Integer, _
    ByRef N As Integer, _
    ByRef X As Double, _
    ByRef Y As Double, _
    ByRef WT As Double, _
    ByRef RHO As Double, _
    ByRef YHAT As Double, _
    ByRef C As Double, _
    ByRef LDC As Integer, _
    ByRef RSS As Double, _
    ByRef DF As Double, _
    ByRef RES As Double, _
    ByRef H As Double, _
    ByRef WK As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G10ACF Lib "FLDLL224M_nag.dll" ( _
    ByVal METHOD As string, ByVal METHODLength As Integer, ByVal WEIGHT As string, ByVal WEIGHTLength As Integer, ByRef N As Integer, _
    ByRef X As Double, ByRef Y As Double, ByRef WT As Double, _
    ByRef YHAT As Double, ByRef C As Double, ByRef LDC As Integer, _
    ByRef RSS As Double, ByRef DF As Double, ByRef RES As Double, _
    ByRef H As Double, ByRef CRIT As Double, ByRef RHO As Double, _
    ByRef U As Double, ByRef TOL As Double, ByRef MAXCAL As Integer, _
    ByRef WK As Double, ByRef IFAIL As Integer _
   )


   Declare Sub G10BAF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef X As Double, _
    ByRef WINDOW As Double, _
    ByRef SLO As Double, _
    ByRef SHI As Double, _
    ByRef NS As Integer, _
    ByRef SMOOTH As Double, _
    ByRef T As Double, _
    ByRef USEFFT As Integer, _
    ByRef FFT As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G10CAF Lib "FLDLL224M_nag.dll" ( _
    ByRef ITYPE As Integer, _
    ByRef N As Integer, _
    ByRef Y As Double, _
    ByRef SMOOTH As Double, _
    ByRef ROUGH As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G10ZAF Lib "FLDLL224M_nag.dll" ( _
    ByVal WEIGHT As string, ByVal WEIGHTLength As Integer, _
    ByRef N As Integer, _
    ByRef X As Double, _
    ByRef Y As Double, _
    ByRef WT As Double, _
    ByRef NORD As Integer, _
    ByRef XORD As Double, _
    ByRef YORD As Double, _
    ByRef WTORD As Double, _
    ByRef RSS As Double, _
    ByRef IWRK As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G11AAF Lib "FLDLL224M_nag.dll" ( _
    ByRef NROW As Integer, _
    ByRef NCOL As Integer, _
    ByRef NOBS As Integer, _
    ByRef LDNOBS As Integer, _
    ByRef EXPT As Double, _
    ByRef CHIST As Double, _
    ByRef PROB As Double, _
    ByRef CHI As Double, _
    ByRef G As Double, _
    ByRef DF As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G11BAF Lib "FLDLL224M_nag.dll" ( _
    ByVal STAT As string, ByVal STATLength As Integer, ByVal UPDATE As string, ByVal UPDATELength As Integer, ByVal WEIGHT As string, ByVal WEIGHTLength As Integer, _
    ByRef N As Integer, ByRef NFAC As Integer, ByRef ISF As Integer, _
    ByRef LFAC As Integer, ByRef IFAC As Integer, ByRef LDF As Integer, _
    ByRef Y As Double, ByRef WT As Double, ByRef TABLE As Double, _
    ByRef MAXT As Integer, ByRef NCELLS As Integer, ByRef NDIM As Integer, _
    ByRef IDIM As Integer, ByRef ICOUNT As Integer, ByRef AUXT As Double, _
    ByRef IWK As Integer, ByRef IFAIL As Integer _
   )


   Declare Sub G11BBF Lib "FLDLL224M_nag.dll" ( _
    ByVal TYP As string, ByVal TYPLength As Integer, ByVal WEIGHT As string, ByVal WEIGHTLength As Integer, ByRef N As Integer, _
    ByRef NFAC As Integer, ByRef ISF As Integer, ByRef LFAC As Integer, _
    ByRef IFAC As Integer, ByRef LDF As Integer, ByRef PERCNT As Double, _
    ByRef Y As Double, ByRef WT As Double, ByRef TABLE As Double, _
    ByRef MAXT As Integer, ByRef NCELLS As Integer, ByRef NDIM As Integer, _
    ByRef IDIM As Integer, ByRef ICOUNT As Integer, ByRef IWK As Integer, _
    ByRef WK As Double, ByRef IFAIL As Integer _
   )


   Declare Sub G11BCF Lib "FLDLL224M_nag.dll" ( _
    ByVal STAT As string, ByVal STATLength As Integer, _
    ByRef TABLE As Double, _
    ByRef NCELLS As Integer, _
    ByRef NDIM As Integer, _
    ByRef IDIM As Integer, _
    ByRef ISDIM As Integer, _
    ByRef STABLE As Double, _
    ByRef MAXST As Integer, _
    ByRef MCELLS As Integer, _
    ByRef MDIM As Integer, _
    ByRef MLEVEL As Integer, _
    ByRef AUXT As Double, _
    ByRef IWK As Integer, _
    ByRef WK As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G11CAF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, ByRef M As Integer, ByRef NS As Integer, _
    ByRef Z As Double, ByRef LDZ As Integer, ByRef ISZ As Integer, _
    ByRef IP As Integer, ByRef IC As Integer, ByRef ISI As Integer, _
    ByRef DEV As Double, ByRef B As Double, ByRef SE As Double, _
    ByRef SC As Double, ByRef COV As Double, ByRef NCA As Integer, _
    ByRef NCT As Integer, ByRef TOL As Double, ByRef MAXIT As Integer, _
    ByRef IPRINT As Integer, ByRef WK As Double, ByRef LWK As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G11SAF Lib "FLDLL224M_nag.dll" ( _
    ByRef IP As Integer, ByRef N As Integer, ByRef GPROB As Integer, _
    ByRef NS As Integer, ByRef X As Integer, ByRef LDX As Integer, _
    ByRef IRL As Integer, ByRef A As Double, ByRef C As Double, _
    ByRef IPRINT As Integer, ByRef CGETOL As Double, ByRef MAXIT As Integer, _
    ByRef CHISQR As Integer, ByRef ISHOW As Integer, ByRef NITER As Integer, _
    ByRef ALPHA As Double, ByRef PIGAM As Double, ByRef CM As Double, _
    ByRef LDCM As Integer, ByRef G As Double, ByRef EXPP As Double, _
    ByRef LDEXPP As Integer, ByRef OBS As Double, ByRef EXF As Double, _
    ByRef Y As Double, ByRef XL As Double, ByRef IOB As Integer, _
    ByRef RLOGL As Double, ByRef CHI As Double, ByRef IDF As Integer, _
    ByRef SIGLEV As Double, ByRef W As Double, ByRef LW As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G11SBF Lib "FLDLL224M_nag.dll" ( _
    ByRef IP As Integer, _
    ByRef N As Integer, _
    ByRef NS As Integer, _
    ByRef X As Integer, _
    ByRef LDX As Integer, _
    ByRef IRL As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G12AAF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef T As Double, _
    ByRef IC As Integer, _
    ByVal FREQ As string, ByVal FREQLength As Integer, _
    ByRef IFREQ As Integer, _
    ByRef ND As Integer, _
    ByRef TP As Double, _
    ByRef P As Double, _
    ByRef PSIG As Double, _
    ByRef IWK As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G12BAF Lib "FLDLL224M_nag.dll" ( _
    ByVal OFFSET As string, ByVal OFFSETLength As Integer, ByRef N As Integer, ByRef M As Integer, _
    ByRef NS As Integer, ByRef Z As Double, ByRef LDZ As Integer, _
    ByRef ISZ As Integer, ByRef IP As Integer, ByRef T As Double, _
    ByRef IC As Integer, ByRef OMEGA As Double, ByRef ISI As Integer, _
    ByRef DEV As Double, ByRef B As Double, ByRef SE As Double, _
    ByRef SC As Double, ByRef COV As Double, ByRef RES As Double, _
    ByRef ND As Integer, ByRef TP As Double, ByRef SUR As Double, _
    ByRef NDMAX As Integer, ByRef TOL As Double, ByRef MAXIT As Integer, _
    ByRef IPRINT As Integer, ByRef WK As Double, ByRef IWK As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G12ZAF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, ByRef M As Integer, ByRef NS As Integer, _
    ByRef Z As Double, ByRef LDZ As Integer, ByRef ISZ As Integer, _
    ByRef IP As Integer, ByRef T As Double, ByRef IC As Integer, _
    ByRef ISI As Integer, ByRef NUM As Integer, ByRef IXS As Integer, _
    ByRef NXS As Integer, ByRef X As Double, ByRef MXN As Integer, _
    ByRef ID As Integer, ByRef ND As Integer, ByRef TP As Double, _
    ByRef IRS As Integer, ByRef IFAIL As Integer _
   )


   Declare Sub G13AAF Lib "FLDLL224M_nag.dll" ( _
    ByRef X As Double, _
    ByRef NX As Integer, _
    ByRef ND As Integer, _
    ByRef NDS As Integer, _
    ByRef NS As Integer, _
    ByRef XD As Double, _
    ByRef NXD As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G13ABF Lib "FLDLL224M_nag.dll" ( _
    ByRef X As Double, _
    ByRef NX As Integer, _
    ByRef NK As Integer, _
    ByRef XM As Double, _
    ByRef XV As Double, _
    ByRef R As Double, _
    ByRef STAT As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G13ACF Lib "FLDLL224M_nag.dll" ( _
    ByRef R As Double, _
    ByRef NK As Integer, _
    ByRef NL As Integer, _
    ByRef P As Double, _
    ByRef V As Double, _
    ByRef AR As Double, _
    ByRef NVL As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G13ADF Lib "FLDLL224M_nag.dll" ( _
    ByRef MR As Integer, _
    ByRef R As Double, _
    ByRef NK As Integer, _
    ByRef XV As Double, _
    ByRef NPAR As Integer, _
    ByRef WA As Double, _
    ByRef NWA As Integer, _
    ByRef PAR As Double, _
    ByRef RV As Double, _
    ByRef ISF As Integer, _
    ByRef IFAIL As Integer _
   )


  Delegate Sub G13AEF_PIV_DELEGATE( _
    ByVal MR_iptr As IntPtr, _
    ByVal PAR_rptr As IntPtr, _
    ByRef NPAR As Integer, _
    ByRef C As Double, _
    ByRef KFC As Integer, _
    ByVal ICOUNT_iptr As IntPtr, _
    ByRef S As Double, _
    ByVal G_rptr As IntPtr, _
    ByVal H_rptr As IntPtr, _
    ByRef LDH As Integer, _
    ByRef IGH As Integer, _
    ByRef ITC As Integer, _
    ByVal ZSP_rptr As IntPtr _
  )

   Declare Sub G13AFZ Lib "FLDLL224M_nag.dll" ( _
    ByVal MR_iptr As IntPtr, _
    ByVal PAR_rptr As IntPtr, _
    ByRef NPAR As Integer, _
    ByRef C As Double, _
    ByRef KFC As Integer, _
    ByVal ICOUNT_iptr As IntPtr, _
    ByRef S As Double, _
    ByVal G_rptr As IntPtr, _
    ByVal H_rptr As IntPtr, _
    ByRef LDH As Integer, _
    ByRef IGH As Integer, _
    ByRef ITC As Integer, _
    ByVal ZSP_rptr As IntPtr _
  )

   Declare Sub G13AEF Lib "FLDLL224M_nag.dll" ( _
    ByRef MR As Integer, ByRef PAR As Double, ByRef NPAR As Integer, _
    ByRef C As Double, ByRef KFC As Integer, ByRef X As Double, _
    ByRef NX As Integer, ByRef ICOUNT As Integer, ByRef EX As Double, _
    ByRef EXR As Double, ByRef AL As Double, ByRef IEX As Integer, _
    ByRef S As Double, ByRef G As Double, ByRef IGH As Integer, _
    ByRef SD As Double, ByRef H As Double, ByRef LDH As Integer, _
    ByRef ST As Double, ByRef IST As Integer, ByRef NST As Integer, _
    ByVal PIV As G13AEF_PIV_DELEGATE, ByRef KPIV As Integer, ByRef NIT As Integer, _
    ByRef ITC As Integer, ByRef ZSP As Double, ByRef KZSP As Integer, _
    ByRef ISF As Integer, ByRef WA As Double, ByRef IWA As Integer, _
    ByRef HC As Double, ByRef IFAIL As Integer _
   )


   Declare Sub G13AFF Lib "FLDLL224M_nag.dll" ( _
    ByRef MR As Integer, ByRef PAR As Double, ByRef NPAR As Integer, _
    ByRef C As Double, ByRef KFC As Integer, ByRef X As Double, _
    ByRef NX As Integer, ByRef S As Double, ByRef NDF As Integer, _
    ByRef SD As Double, ByRef NPPC As Integer, ByRef CM As Double, _
    ByRef LDCM As Integer, ByRef ST As Double, ByRef NST As Integer, _
    ByRef KPIV As Integer, ByRef NIT As Integer, ByRef ITC As Integer, _
    ByRef ISF As Integer, ByRef RES As Double, ByRef IRES As Integer, _
    ByRef NRES As Integer, ByRef IFAIL As Integer _
   )


   Declare Sub G13AGF Lib "FLDLL224M_nag.dll" ( _
    ByRef ST As Double, _
    ByRef NST As Integer, _
    ByRef MR As Integer, _
    ByRef PAR As Double, _
    ByRef NPAR As Integer, _
    ByRef C As Double, _
    ByRef ANX As Double, _
    ByRef NUV As Integer, _
    ByRef ANEXR As Double, _
    ByRef WA As Double, _
    ByRef NWA As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G13AHF Lib "FLDLL224M_nag.dll" ( _
    ByRef ST As Double, _
    ByRef NST As Integer, _
    ByRef MR As Integer, _
    ByRef PAR As Double, _
    ByRef NPAR As Integer, _
    ByRef C As Double, _
    ByRef RMS As Double, _
    ByRef NFV As Integer, _
    ByRef FVA As Double, _
    ByRef FSD As Double, _
    ByRef WA As Double, _
    ByRef NWA As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G13AJF Lib "FLDLL224M_nag.dll" ( _
    ByRef MR As Integer, _
    ByRef PAR As Double, _
    ByRef NPAR As Integer, _
    ByRef C As Double, _
    ByRef KFC As Integer, _
    ByRef X As Double, _
    ByRef NX As Integer, _
    ByRef RMS As Double, _
    ByRef ST As Double, _
    ByRef IST As Integer, _
    ByRef NST As Integer, _
    ByRef NFV As Integer, _
    ByRef FVA As Double, _
    ByRef FSD As Double, _
    ByRef IFV As Integer, _
    ByRef ISF As Integer, _
    ByRef W As Double, _
    ByRef IW As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G13AMF Lib "FLDLL224M_nag.dll" ( _
    ByRef MODE As Integer, _
    ByRef ITYPE As Integer, _
    ByRef P As Integer, _
    ByRef PARAM As Double, _
    ByRef N As Integer, _
    ByRef Y As Double, _
    ByRef K As Integer, _
    ByRef INIT As Double, _
    ByRef NF As Integer, _
    ByRef FV As Double, _
    ByRef FSE As Double, _
    ByRef YHAT As Double, _
    ByRef RES As Double, _
    ByRef DV As Double, _
    ByRef AD As Double, _
    ByRef R As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G13ASF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef V As Double, _
    ByRef MR As Integer, _
    ByRef M As Integer, _
    ByRef PAR As Double, _
    ByRef NPAR As Integer, _
    ByRef ISHOW As Integer, _
    ByRef R As Double, _
    ByRef RCM As Double, _
    ByRef LDRCM As Integer, _
    ByRef CHI As Double, _
    ByRef IDF As Integer, _
    ByRef SIGLEV As Double, _
    ByRef IW As Integer, _
    ByRef LIW As Integer, _
    ByRef WORK As Double, _
    ByRef LWORK As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G13AUF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef Z As Double, _
    ByRef M As Integer, _
    ByRef NGRPS As Integer, _
    ByVal RS As string, ByVal RSLength As Integer, _
    ByRef Y As Double, _
    ByRef MEAN As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G13BAF Lib "FLDLL224M_nag.dll" ( _
    ByRef Y As Double, _
    ByRef NY As Integer, _
    ByRef MR As Integer, _
    ByRef NMR As Integer, _
    ByRef PAR As Double, _
    ByRef NPAR As Integer, _
    ByRef CY As Double, _
    ByRef WA As Double, _
    ByRef NWA As Integer, _
    ByRef B As Double, _
    ByRef NB As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G13BBF Lib "FLDLL224M_nag.dll" ( _
    ByRef Y As Double, _
    ByRef NY As Integer, _
    ByRef MR As Integer, _
    ByRef NMR As Integer, _
    ByRef PAR As Double, _
    ByRef NPAR As Integer, _
    ByRef CY As Double, _
    ByRef WA As Double, _
    ByRef IWA As Integer, _
    ByRef B As Double, _
    ByRef NB As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G13BCF Lib "FLDLL224M_nag.dll" ( _
    ByRef X As Double, _
    ByRef Y As Double, _
    ByRef NXY As Integer, _
    ByRef NL As Integer, _
    ByRef S As Double, _
    ByRef R0 As Double, _
    ByRef R As Double, _
    ByRef STAT As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G13BDF Lib "FLDLL224M_nag.dll" ( _
    ByRef R0 As Double, _
    ByRef R As Double, _
    ByRef NL As Integer, _
    ByRef NNA As Integer, _
    ByRef S As Double, _
    ByRef NWDS As Integer, _
    ByRef WA As Double, _
    ByRef IWA As Integer, _
    ByRef WDS As Double, _
    ByRef ISF As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G13BEF Lib "FLDLL224M_nag.dll" ( _
    ByRef MR As Integer, ByRef NSER As Integer, ByRef MT As Integer, _
    ByRef PARA As Double, ByRef NPARA As Integer, ByRef KFC As Integer, _
    ByRef NXXY As Integer, ByRef XXY As Double, ByRef LDXXY As Integer, _
    ByRef KEF As Integer, ByRef NIT As Integer, ByRef KZSP As Integer, _
    ByRef ZSP As Double, ByRef ITC As Integer, ByRef SD As Double, _
    ByRef CM As Double, ByRef LDCM As Integer, ByRef S As Double, _
    ByRef D As Double, ByRef NDF As Integer, ByRef KZEF As Integer, _
    ByRef RES As Double, ByRef STTF As Double, ByRef ISTTF As Integer, _
    ByRef NSTTF As Integer, ByRef WA As Double, ByRef IWA As Integer, _
    ByRef MWA As Integer, ByRef IMWA As Integer, ByRef KPRIV As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G13BGF Lib "FLDLL224M_nag.dll" ( _
    ByRef STTF As Double, _
    ByRef NSTTF As Integer, _
    ByRef MR As Integer, _
    ByRef NSER As Integer, _
    ByRef MT As Integer, _
    ByRef PARA As Double, _
    ByRef NPARA As Integer, _
    ByRef NNV As Integer, _
    ByRef XXYN As Double, _
    ByRef LDXXYN As Integer, _
    ByRef KZEF As Integer, _
    ByRef RES As Double, _
    ByRef WA As Double, _
    ByRef IWA As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G13BHF Lib "FLDLL224M_nag.dll" ( _
    ByRef STTF As Double, ByRef NSTTF As Integer, ByRef MR As Integer, _
    ByRef NSER As Integer, ByRef MT As Integer, ByRef PARA As Double, _
    ByRef NPARA As Integer, ByRef NFV As Integer, ByRef XXYN As Double, _
    ByRef LDXXYN As Integer, ByRef MRX As Integer, ByRef PARX As Double, _
    ByRef LDPARX As Integer, ByRef RMSXY As Double, ByRef KZEF As Integer, _
    ByRef FVA As Double, ByRef FSD As Double, ByRef WA As Double, _
    ByRef IWA As Integer, ByRef IFAIL As Integer _
   )


   Declare Sub G13BJF Lib "FLDLL224M_nag.dll" ( _
    ByRef MR As Integer, ByRef NSER As Integer, ByRef MT As Integer, _
    ByRef PARA As Double, ByRef NPARA As Integer, ByRef KFC As Integer, _
    ByRef NEV As Integer, ByRef NFV As Integer, ByRef XXY As Double, _
    ByRef LDXXY As Integer, ByRef KZEF As Integer, ByRef RMSXY As Double, _
    ByRef MRX As Integer, ByRef PARX As Double, ByRef LDPARX As Integer, _
    ByRef FVA As Double, ByRef FSD As Double, ByRef STTF As Double, _
    ByRef ISTTF As Integer, ByRef NSTTF As Integer, ByRef WA As Double, _
    ByRef IWA As Integer, ByRef MWA As Integer, ByRef IMWA As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G13CAF Lib "FLDLL224M_nag.dll" ( _
    ByRef NX As Integer, _
    ByRef MTX As Integer, _
    ByRef PX As Double, _
    ByRef IW As Integer, _
    ByRef MW As Integer, _
    ByRef IC As Integer, _
    ByRef NC As Integer, _
    ByRef C As Double, _
    ByRef KC As Integer, _
    ByRef L As Integer, _
    ByRef LG As Integer, _
    ByRef NXG As Integer, _
    ByRef XG As Double, _
    ByRef NG As Integer, _
    ByRef STATS As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G13CBF Lib "FLDLL224M_nag.dll" ( _
    ByRef NX As Integer, _
    ByRef MTX As Integer, _
    ByRef PX As Double, _
    ByRef MW As Integer, _
    ByRef PW As Double, _
    ByRef L As Integer, _
    ByRef KC As Integer, _
    ByRef LG As Integer, _
    ByRef XG As Double, _
    ByRef NG As Integer, _
    ByRef STATS As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G13CCF Lib "FLDLL224M_nag.dll" ( _
    ByRef NXY As Integer, _
    ByRef MTXY As Integer, _
    ByRef PXY As Double, _
    ByRef IW As Integer, _
    ByRef MW As Integer, _
    ByRef ISH As Integer, _
    ByRef IC As Integer, _
    ByRef NC As Integer, _
    ByRef CXY As Double, _
    ByRef CYX As Double, _
    ByRef KC As Integer, _
    ByRef L As Integer, _
    ByRef NXYG As Integer, _
    ByRef XG As Double, _
    ByRef YG As Double, _
    ByRef NG As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G13CDF Lib "FLDLL224M_nag.dll" ( _
    ByRef NXY As Integer, _
    ByRef MTXY As Integer, _
    ByRef PXY As Double, _
    ByRef MW As Integer, _
    ByRef ISH As Integer, _
    ByRef PW As Double, _
    ByRef L As Integer, _
    ByRef KC As Integer, _
    ByRef XG As Double, _
    ByRef YG As Double, _
    ByRef NG As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G13CEF Lib "FLDLL224M_nag.dll" ( _
    ByRef XG As Double, _
    ByRef YG As Double, _
    ByRef XYRG As Double, _
    ByRef XYIG As Double, _
    ByRef NG As Integer, _
    ByRef STATS As Double, _
    ByRef CA As Double, _
    ByRef CALW As Double, _
    ByRef CAUP As Double, _
    ByRef T As Double, _
    ByRef SC As Double, _
    ByRef SCLW As Double, _
    ByRef SCUP As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G13CFF Lib "FLDLL224M_nag.dll" ( _
    ByRef XG As Double, _
    ByRef YG As Double, _
    ByRef XYRG As Double, _
    ByRef XYIG As Double, _
    ByRef NG As Integer, _
    ByRef STATS As Double, _
    ByRef GN As Double, _
    ByRef GNLW As Double, _
    ByRef GNUP As Double, _
    ByRef PH As Double, _
    ByRef PHLW As Double, _
    ByRef PHUP As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G13CGF Lib "FLDLL224M_nag.dll" ( _
    ByRef XG As Double, _
    ByRef YG As Double, _
    ByRef XYRG As Double, _
    ByRef XYIG As Double, _
    ByRef NG As Integer, _
    ByRef STATS As Double, _
    ByRef L As Integer, _
    ByRef N As Integer, _
    ByRef ER As Double, _
    ByRef ERLW As Double, _
    ByRef ERUP As Double, _
    ByRef RF As Double, _
    ByRef RFSE As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G13DBF Lib "FLDLL224M_nag.dll" ( _
    ByRef C0 As Double, _
    ByRef C As Double, _
    ByRef LDC0 As Integer, _
    ByRef NS As Integer, _
    ByRef NL As Integer, _
    ByRef NK As Integer, _
    ByRef P As Double, _
    ByRef V0 As Double, _
    ByRef V As Double, _
    ByRef D As Double, _
    ByRef DB As Double, _
    ByRef W As Double, _
    ByRef WB As Double, _
    ByRef NVP As Integer, _
    ByRef WA As Double, _
    ByRef IWA As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G13DCF Lib "FLDLL224M_nag.dll" ( _
    ByRef K As Integer, ByRef N As Integer, ByRef IP As Integer, _
    ByRef IQ As Integer, ByRef MEAN As Integer, ByRef PAR As Double, _
    ByRef NPAR As Integer, ByRef QQ As Double, ByRef KMAX As Integer, _
    ByRef W As Double, ByRef PARHLD As Integer, ByRef EXACT As Integer, _
    ByRef IPRINT As Integer, ByRef CGETOL As Double, ByRef MAXCAL As Integer, _
    ByRef ISHOW As Integer, ByRef NITER As Integer, ByRef RLOGL As Double, _
    ByRef V As Double, ByRef G As Double, ByRef CM As Double, _
    ByRef LDCM As Integer, ByRef WORK As Double, ByRef LWORK As Integer, _
    ByRef IW As Integer, ByRef LIW As Integer, ByRef IFAIL As Integer _
   )


   Declare Sub G13DDF Lib "FLDLL224M_nag.dll" ( _
    ByRef K As Integer, ByRef N As Integer, ByRef IP As Integer, _
    ByRef IQ As Integer, ByRef MEAN As Integer, ByRef PAR As Double, _
    ByRef NPAR As Integer, ByRef QQ As Double, ByRef KMAX As Integer, _
    ByRef W As Double, ByRef PARHLD As Integer, ByRef EXACT As Integer, _
    ByRef IPRINT As Integer, ByRef CGETOL As Double, ByRef MAXCAL As Integer, _
    ByRef ISHOW As Integer, ByRef NITER As Integer, ByRef RLOGL As Double, _
    ByRef V As Double, ByRef G As Double, ByRef CM As Double, _
    ByRef LDCM As Integer, ByRef IFAIL As Integer _
   )


   Declare Sub G13DJF Lib "FLDLL224M_nag.dll" ( _
    ByRef K As Integer, ByRef N As Integer, ByRef Z As Double, _
    ByRef KMAX As Integer, ByVal TR As string, ByVal TRLength As Integer, ByRef ID As Integer, _
    ByRef DELTA As Double, ByRef IP As Integer, ByRef IQ As Integer, _
    ByVal MEAN As string, ByVal MEANLength As Integer, ByRef PAR As Double, ByRef LPAR As Integer, _
    ByRef QQ As Double, ByRef V As Double, ByRef LMAX As Integer, _
    ByRef PREDZ As Double, ByRef SEFZ As Double, ByRef REF As Double, _
    ByRef LREF As Integer, ByRef WORK As Double, ByRef LWORK As Integer, _
    ByRef IWORK As Integer, ByRef LIWORK As Integer, ByRef IFAIL As Integer _
   )


   Declare Sub G13DKF Lib "FLDLL224M_nag.dll" ( _
    ByRef K As Integer, _
    ByRef LMAX As Integer, _
    ByRef M As Integer, _
    ByRef MLAST As Integer, _
    ByRef Z As Double, _
    ByRef KMAX As Integer, _
    ByRef REF As Double, _
    ByRef LREF As Integer, _
    ByRef V As Double, _
    ByRef PREDZ As Double, _
    ByRef SEFZ As Double, _
    ByRef WORK As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G13DLF Lib "FLDLL224M_nag.dll" ( _
    ByRef K As Integer, _
    ByRef N As Integer, _
    ByRef Z As Double, _
    ByRef KMAX As Integer, _
    ByVal TR As string, ByVal TRLength As Integer, _
    ByRef ID As Integer, _
    ByRef DELTA As Double, _
    ByRef W As Double, _
    ByRef ND As Integer, _
    ByRef WORK As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G13DMF Lib "FLDLL224M_nag.dll" ( _
    ByVal MATRIX As string, ByVal MATRIXLength As Integer, _
    ByRef K As Integer, _
    ByRef N As Integer, _
    ByRef M As Integer, _
    ByRef W As Double, _
    ByRef KMAX As Integer, _
    ByRef WMEAN As Double, _
    ByRef R0 As Double, _
    ByRef R As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G13DNF Lib "FLDLL224M_nag.dll" ( _
    ByRef K As Integer, _
    ByRef N As Integer, _
    ByRef M As Integer, _
    ByRef KMAX As Integer, _
    ByRef R0 As Double, _
    ByRef R As Double, _
    ByRef MAXLAG As Integer, _
    ByRef PARLAG As Double, _
    ByRef X As Double, _
    ByRef PVALUE As Double, _
    ByRef WORK As Double, _
    ByRef LWORK As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G13DPF Lib "FLDLL224M_nag.dll" ( _
    ByRef K As Integer, _
    ByRef N As Integer, _
    ByRef Z As Double, _
    ByRef KMAX As Integer, _
    ByRef M As Integer, _
    ByRef MAXLAG As Integer, _
    ByRef PARLAG As Double, _
    ByRef SE As Double, _
    ByRef QQ As Double, _
    ByRef X As Double, _
    ByRef PVALUE As Double, _
    ByRef LOGLHD As Double, _
    ByRef WORK As Double, _
    ByRef LWORK As Integer, _
    ByRef IWORK As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G13DSF Lib "FLDLL224M_nag.dll" ( _
    ByRef K As Integer, ByRef N As Integer, ByRef V As Double, _
    ByRef KMAX As Integer, ByRef IP As Integer, ByRef IQ As Integer, _
    ByRef M As Integer, ByRef PAR As Double, ByRef PARHLD As Integer, _
    ByRef QQ As Double, ByRef ISHOW As Integer, ByRef R0 As Double, _
    ByRef R As Double, ByRef RCM As Double, ByRef LDRCM As Integer, _
    ByRef CHI As Double, ByRef IDF As Integer, ByRef SIGLEV As Double, _
    ByRef IW As Integer, ByRef LIW As Integer, ByRef WORK As Double, _
    ByRef LWORK As Integer, ByRef IFAIL As Integer _
   )


   Declare Sub G13DXF Lib "FLDLL224M_nag.dll" ( _
    ByRef K As Integer, _
    ByRef IP As Integer, _
    ByRef PAR As Double, _
    ByRef RR As Double, _
    ByRef RI As Double, _
    ByRef RMOD As Double, _
    ByRef WORK As Double, _
    ByRef IWORK As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G13EAF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef M As Integer, _
    ByRef L As Integer, _
    ByRef A As Double, _
    ByRef LDS As Integer, _
    ByRef B As Double, _
    ByRef STQ As Integer, _
    ByRef Q As Double, _
    ByRef LDQ As Integer, _
    ByRef C As Double, _
    ByRef LDM As Integer, _
    ByRef R As Double, _
    ByRef S As Double, _
    ByRef K As Double, _
    ByRef H As Double, _
    ByRef TOL As Double, _
    ByRef IWK As Integer, _
    ByRef WK As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G13EBF Lib "FLDLL224M_nag.dll" ( _
    ByVal TRANSF As string, ByVal TRANSFLength As Integer, ByRef N As Integer, ByRef M As Integer, _
    ByRef L As Integer, ByRef A As Double, ByRef LDS As Integer, _
    ByRef B As Double, ByRef STQ As Integer, ByRef Q As Double, _
    ByRef LDQ As Integer, ByRef C As Double, ByRef LDM As Integer, _
    ByRef R As Double, ByRef S As Double, ByRef K As Double, _
    ByRef H As Double, ByRef U As Double, ByRef TOL As Double, _
    ByRef IWK As Integer, ByRef WK As Double, ByRef IFAIL As Integer _
   )


   Declare Sub G13FAF Lib "FLDLL224M_nag.dll" ( _
    ByVal DIST As string, ByVal DISTLength As Integer, ByRef YT As Double, ByRef X As Double, _
    ByRef LDX As Integer, ByRef NUM As Integer, ByRef IP As Integer, _
    ByRef IQ As Integer, ByRef NREG As Integer, ByRef MN As Integer, _
    ByRef ISYM As Integer, ByRef NPAR As Integer, ByRef THETA As Double, _
    ByRef SE As Double, ByRef SC As Double, ByRef COVR As Double, _
    ByRef LDCOVR As Integer, ByRef HP As Double, ByRef ET As Double, _
    ByRef HT As Double, ByRef LGF As Double, ByRef COPTS As Integer, _
    ByRef MAXIT As Integer, ByRef TOL As Double, ByRef WORK As Double, _
    ByRef LWORK As Integer, ByRef IFAIL As Integer _
   )


   Declare Sub G13FBF Lib "FLDLL224M_nag.dll" ( _
    ByRef NUM As Integer, _
    ByRef NT As Integer, _
    ByRef IP As Integer, _
    ByRef IQ As Integer, _
    ByRef THETA As Double, _
    ByRef GAMMA As Double, _
    ByRef FHT As Double, _
    ByRef HT As Double, _
    ByRef ET As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G13FCF Lib "FLDLL224M_nag.dll" ( _
    ByVal DIST As string, ByVal DISTLength As Integer, ByRef YT As Double, ByRef X As Double, _
    ByRef LDX As Integer, ByRef NUM As Integer, ByRef IP As Integer, _
    ByRef IQ As Integer, ByRef NREG As Integer, ByRef MN As Integer, _
    ByRef NPAR As Integer, ByRef THETA As Double, ByRef SE As Double, _
    ByRef SC As Double, ByRef COVR As Double, ByRef LDCOVR As Integer, _
    ByRef HP As Double, ByRef ET As Double, ByRef HT As Double, _
    ByRef LGF As Double, ByRef COPTS As Integer, ByRef MAXIT As Integer, _
    ByRef TOL As Double, ByRef WORK As Double, ByRef LWORK As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G13FDF Lib "FLDLL224M_nag.dll" ( _
    ByRef NUM As Integer, _
    ByRef NT As Integer, _
    ByRef IP As Integer, _
    ByRef IQ As Integer, _
    ByRef THETA As Double, _
    ByRef GAMMA As Double, _
    ByRef FHT As Double, _
    ByRef HT As Double, _
    ByRef ET As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G13FEF Lib "FLDLL224M_nag.dll" ( _
    ByVal DIST As string, ByVal DISTLength As Integer, ByRef YT As Double, ByRef X As Double, _
    ByRef LDX As Integer, ByRef NUM As Integer, ByRef IP As Integer, _
    ByRef IQ As Integer, ByRef NREG As Integer, ByRef MN As Integer, _
    ByRef NPAR As Integer, ByRef THETA As Double, ByRef SE As Double, _
    ByRef SC As Double, ByRef COVR As Double, ByRef LDCOVR As Integer, _
    ByRef HP As Double, ByRef ET As Double, ByRef HT As Double, _
    ByRef LGF As Double, ByRef COPTS As Integer, ByRef MAXIT As Integer, _
    ByRef TOL As Double, ByRef WORK As Double, ByRef LWORK As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G13FFF Lib "FLDLL224M_nag.dll" ( _
    ByRef NUM As Integer, _
    ByRef NT As Integer, _
    ByRef IP As Integer, _
    ByRef IQ As Integer, _
    ByRef THETA As Double, _
    ByRef GAMMA As Double, _
    ByRef FHT As Double, _
    ByRef HT As Double, _
    ByRef ET As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G13FGF Lib "FLDLL224M_nag.dll" ( _
    ByVal DIST As string, ByVal DISTLength As Integer, ByRef YT As Double, ByRef X As Double, _
    ByRef LDX As Integer, ByRef NUM As Integer, ByRef IP As Integer, _
    ByRef IQ As Integer, ByRef NREG As Integer, ByRef MN As Integer, _
    ByRef NPAR As Integer, ByRef THETA As Double, ByRef SE As Double, _
    ByRef SC As Double, ByRef COVR As Double, ByRef LDCOVR As Integer, _
    ByRef HP As Double, ByRef ET As Double, ByRef HT As Double, _
    ByRef LGF As Double, ByRef COPTS As Integer, ByRef MAXIT As Integer, _
    ByRef TOL As Double, ByRef WORK As Double, ByRef LWORK As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub G13FHF Lib "FLDLL224M_nag.dll" ( _
    ByRef NUM As Integer, _
    ByRef NT As Integer, _
    ByRef IP As Integer, _
    ByRef IQ As Integer, _
    ByRef THETA As Double, _
    ByRef FHT As Double, _
    ByRef HT As Double, _
    ByRef ET As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub H02BBF Lib "FLDLL224M_nag.dll" ( _
    ByRef ITMAX As Integer, ByRef MSGLVL As Integer, ByRef N As Integer, _
    ByRef M As Integer, ByRef A As Double, ByRef LDA As Integer, _
    ByRef BL As Double, ByRef BU As Double, ByRef INTVAR As Integer, _
    ByRef CVEC As Double, ByRef MAXNOD As Integer, ByRef INTFST As Integer, _
    ByRef MAXDPT As Integer, ByRef TOLIV As Double, ByRef TOLFES As Double, _
    ByRef BIGBND As Double, ByRef X As Double, ByRef OBJMIP As Double, _
    ByRef IWORK As Integer, ByRef LIWORK As Integer, ByRef RWORK As Double, _
    ByRef LRWORK As Integer, ByRef IFAIL As Integer _
   )


   Declare Sub H02BFF Lib "FLDLL224M_nag.dll" ( _
    ByRef INFILE As Integer, _
    ByRef MAXN As Integer, _
    ByRef MAXM As Integer, _
    ByVal OPTIM As string, ByVal OPTIMLength As Integer, _
    ByRef XBLDEF As Double, _
    ByRef XBUDEF As Double, _
    ByRef MAXDPT As Integer, _
    ByRef MSGLVL As Integer, _
    ByRef N As Integer, _
    ByRef M As Integer, _
    ByRef X As Double, _
    ByVal CRNAME As string, ByVal CRNAMELength As Integer, _
    ByRef IWORK As Integer, _
    ByRef LIWORK As Integer, _
    ByRef RWORK As Double, _
    ByRef LRWORK As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub H02BUF Lib "FLDLL224M_nag.dll" ( _
    ByRef INFILE As Integer, ByRef MAXN As Integer, ByRef MAXM As Integer, _
    ByVal OPTIM As string, ByVal OPTIMLength As Integer, ByRef XBLDEF As Double, ByRef XBUDEF As Double, _
    ByVal NMOBJ As string, ByVal NMOBJLength As Integer, ByVal NMRHS As string, ByVal NMRHSLength As Integer, ByVal NMRNG As string, ByVal NMRNGLength As Integer, _
    ByVal NMBND As string, ByVal NMBNDLength As Integer, ByRef MPSLST As Integer, ByRef N As Integer, _
    ByRef M As Integer, ByRef A As Double, ByRef BL As Double, _
    ByRef BU As Double, ByRef CVEC As Double, ByRef X As Double, _
    ByRef INTVAR As Integer, ByVal CRNAME As string, ByVal CRNAMELength As Integer, ByVal NMPROB As string, ByVal NMPROBLength As Integer, _
    ByRef IWORK As Integer, ByRef IFAIL As Integer _
   )


   Declare Sub H02BVF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef M As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByRef BL As Double, _
    ByRef BU As Double, _
    ByRef X As Double, _
    ByRef CLAMDA As Double, _
    ByRef ISTATE As Integer, _
    ByVal CRNAME As string, ByVal CRNAMELength As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub H02BZF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef M As Integer, _
    ByRef BL As Double, _
    ByRef BU As Double, _
    ByRef CLAMDA As Double, _
    ByRef ISTATE As Integer, _
    ByRef IWORK As Integer, _
    ByRef LIWORK As Integer, _
    ByRef RWORK As Double, _
    ByRef LRWORK As Integer, _
    ByRef IFAIL As Integer _
   )


  Delegate Sub H02CBF_QPHESS_DELEGATE( _
    ByRef N As Integer, _
    ByRef JTHCOL As Integer, _
    ByVal H_rptr As IntPtr, _
    ByRef LDH As Integer, _
    ByVal X_rptr As IntPtr, _
    ByVal HX_rptr As IntPtr _
  )


  Delegate Sub H02CBF_MONIT_DELEGATE( _
    ByRef INTFND As Integer, _
    ByRef NODES As Integer, _
    ByRef DEPTH As Integer, _
    ByRef OBJ As Double, _
    ByVal X_rptr As IntPtr, _
    ByRef BSTVAL As Double, _
    ByVal BSTSOL_rptr As IntPtr, _
    ByVal BL_rptr As IntPtr, _
    ByVal BU_rptr As IntPtr, _
    ByRef N As Integer, _
    ByRef HALT As Integer, _
    ByRef COUNT As Integer _
  )

   Declare Sub H02CBU Lib "FLDLL224M_nag.dll" ( _
    ByRef INTFND As Integer, _
    ByRef NODES As Integer, _
    ByRef DEPTH As Integer, _
    ByRef OBJ As Double, _
    ByVal X_rptr As IntPtr, _
    ByRef BSTVAL As Double, _
    ByVal BSTSOL_rptr As IntPtr, _
    ByVal BL_rptr As IntPtr, _
    ByVal BU_rptr As IntPtr, _
    ByRef N As Integer, _
    ByRef HALT As Integer, _
    ByRef COUNT As Integer _
  )

   Declare Sub H02CBF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, ByRef NCLIN As Integer, ByRef A As Double, _
    ByRef LDA As Integer, ByRef BL As Double, ByRef BU As Double, _
    ByRef CVEC As Double, ByRef H As Double, ByRef LDH As Integer, _
    ByVal QPHESS As H02CBF_QPHESS_DELEGATE, ByRef INTVAR As Integer, ByRef LINTVR As Integer, _
    ByRef MDEPTH As Integer, ByRef ISTATE As Integer, ByRef XS As Double, _
    ByRef OBJ As Double, ByRef AX As Double, ByRef CLAMDA As Double, _
    ByRef STRTGY As Integer, ByRef IWRK As Integer, ByRef LIWRK As Integer, _
    ByRef WRK As Double, ByRef LWRK As Integer, ByVal MONIT As H02CBF_MONIT_DELEGATE, _
    ByRef IFAIL As Integer _
   )


   Declare Sub H02CCF Lib "FLDLL224M_nag.dll" ( _
    ByRef IOPTNS As Integer, _
    ByRef INFORM As Integer _
   )


   Declare Sub H02CDF Lib "FLDLL224M_nag.dll" ( _
    ByVal STR As string, ByVal STRLength As Integer _
   )


  Delegate Sub H02CEF_QPHX_DELEGATE( _
    ByRef NSTATE As Integer, _
    ByRef NCOLH As Integer, _
    ByVal X_rptr As IntPtr, _
    ByVal HX_rptr As IntPtr _
  )


  Delegate Sub H02CEF_MONIT_DELEGATE( _
    ByRef INTFND As Integer, _
    ByRef NODES As Integer, _
    ByRef DEPTH As Integer, _
    ByRef OBJ As Double, _
    ByVal X_rptr As IntPtr, _
    ByRef BSTVAL As Double, _
    ByVal BSTSOL_rptr As IntPtr, _
    ByVal BL_rptr As IntPtr, _
    ByVal BU_rptr As IntPtr, _
    ByRef N As Integer, _
    ByRef HALT As Integer, _
    ByRef COUNT As Integer _
  )

   Declare Sub H02CEY Lib "FLDLL224M_nag.dll" ( _
    ByRef INTFND As Integer, _
    ByRef NODES As Integer, _
    ByRef DEPTH As Integer, _
    ByRef OBJ As Double, _
    ByVal X_rptr As IntPtr, _
    ByRef BSTVAL As Double, _
    ByVal BSTSOL_rptr As IntPtr, _
    ByVal BL_rptr As IntPtr, _
    ByVal BU_rptr As IntPtr, _
    ByRef N As Integer, _
    ByRef HALT As Integer, _
    ByRef COUNT As Integer _
  )

   Declare Sub H02CEF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, ByRef M As Integer, ByRef NNZ As Integer, _
    ByRef IOBJ As Integer, ByRef NCOLH As Integer, ByVal QPHX As H02CEF_QPHX_DELEGATE, _
    ByRef A As Double, ByRef HA As Integer, ByRef KA As Integer, _
    ByRef BL As Double, ByRef BU As Double, ByVal START As string, ByVal STARTLength As Integer, _
    ByVal NAMES As string, ByVal NAMESLength As Integer, ByRef NNAME As Integer, ByVal CRNAME As string, ByVal CRNAMELength As Integer, _
    ByRef NS As Integer, ByRef XS As Double, ByRef INTVAR As Integer, _
    ByRef LINTVR As Integer, ByRef MDEPTH As Integer, ByRef ISTATE As Integer, _
    ByRef MINIZ As Integer, ByRef MINZ As Integer, ByRef OBJ As Double, _
    ByRef CLAMDA As Double, ByRef STRTGY As Integer, ByRef IZ As Integer, _
    ByRef LENIZ As Integer, ByRef Z As Double, ByRef LENZ As Integer, _
    ByVal MONIT As H02CEF_MONIT_DELEGATE, ByRef IFAIL As Integer _
   )


   Declare Sub H02CFF Lib "FLDLL224M_nag.dll" ( _
    ByRef IOPTNS As Integer, _
    ByRef INFORM As Integer _
   )


   Declare Sub H02CGF Lib "FLDLL224M_nag.dll" ( _
    ByVal STR As string, ByVal STRLength As Integer _
   )


   Declare Sub H03ABF Lib "FLDLL224M_nag.dll" ( _
    ByRef KOST As Integer, _
    ByRef LDKOST As Integer, _
    ByRef MA As Integer, _
    ByRef MB As Integer, _
    ByRef M As Integer, _
    ByRef K15 As Integer, _
    ByRef MAXIT As Integer, _
    ByRef K7 As Integer, _
    ByRef K9 As Integer, _
    ByRef NUMIT As Integer, _
    ByRef K6 As Integer, _
    ByRef K8 As Integer, _
    ByRef K11 As Integer, _
    ByRef K12 As Integer, _
    ByRef Z As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub H03ADF Lib "FLDLL224M_nag.dll" ( _
    ByRef N As Integer, _
    ByRef NS As Integer, _
    ByRef NE As Integer, _
    ByRef DIRECT As Integer, _
    ByRef NNZ As Integer, _
    ByRef D As Double, _
    ByRef IROW As Integer, _
    ByRef ICOL As Integer, _
    ByRef SPLEN As Double, _
    ByRef PATH As Integer, _
    ByRef IWORK As Integer, _
    ByRef WORK As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub M01CAF Lib "FLDLL224M_nag.dll" ( _
    ByRef RV As Double, _
    ByRef M1 As Integer, _
    ByRef M2 As Integer, _
    ByVal ORDER As string, ByVal ORDERLength As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub M01CBF Lib "FLDLL224M_nag.dll" ( _
    ByRef IV As Integer, _
    ByRef M1 As Integer, _
    ByRef M2 As Integer, _
    ByVal ORDER As string, ByVal ORDERLength As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub M01CCF Lib "FLDLL224M_nag.dll" ( _
    ByVal CH As string, ByVal CHLength As Integer, _
    ByRef M1 As Integer, _
    ByRef M2 As Integer, _
    ByRef L1 As Integer, _
    ByRef L2 As Integer, _
    ByVal ORDER As string, ByVal ORDERLength As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub M01DAF Lib "FLDLL224M_nag.dll" ( _
    ByRef RV As Double, _
    ByRef M1 As Integer, _
    ByRef M2 As Integer, _
    ByVal ORDER As string, ByVal ORDERLength As Integer, _
    ByRef IRANK As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub M01DBF Lib "FLDLL224M_nag.dll" ( _
    ByRef IV As Integer, _
    ByRef M1 As Integer, _
    ByRef M2 As Integer, _
    ByVal ORDER As string, ByVal ORDERLength As Integer, _
    ByRef IRANK As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub M01DCF Lib "FLDLL224M_nag.dll" ( _
    ByVal CH As string, ByVal CHLength As Integer, _
    ByRef M1 As Integer, _
    ByRef M2 As Integer, _
    ByRef L1 As Integer, _
    ByRef L2 As Integer, _
    ByVal ORDER As string, ByVal ORDERLength As Integer, _
    ByRef IRANK As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub M01DEF Lib "FLDLL224M_nag.dll" ( _
    ByRef RM As Double, _
    ByRef LDM As Integer, _
    ByRef M1 As Integer, _
    ByRef M2 As Integer, _
    ByRef N1 As Integer, _
    ByRef N2 As Integer, _
    ByVal ORDER As string, ByVal ORDERLength As Integer, _
    ByRef IRANK As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub M01DFF Lib "FLDLL224M_nag.dll" ( _
    ByRef IM As Integer, _
    ByRef LDM As Integer, _
    ByRef M1 As Integer, _
    ByRef M2 As Integer, _
    ByRef N1 As Integer, _
    ByRef N2 As Integer, _
    ByVal ORDER As string, ByVal ORDERLength As Integer, _
    ByRef IRANK As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub M01DJF Lib "FLDLL224M_nag.dll" ( _
    ByRef RM As Double, _
    ByRef LDM As Integer, _
    ByRef M1 As Integer, _
    ByRef M2 As Integer, _
    ByRef N1 As Integer, _
    ByRef N2 As Integer, _
    ByVal ORDER As string, ByVal ORDERLength As Integer, _
    ByRef IRANK As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub M01DKF Lib "FLDLL224M_nag.dll" ( _
    ByRef IM As Integer, _
    ByRef LDM As Integer, _
    ByRef M1 As Integer, _
    ByRef M2 As Integer, _
    ByRef N1 As Integer, _
    ByRef N2 As Integer, _
    ByVal ORDER As string, ByVal ORDERLength As Integer, _
    ByRef IRANK As Integer, _
    ByRef IFAIL As Integer _
   )


  Delegate Function M01DZF_COMPAR_DELEGATE( _
    ByRef I As Integer, _
    ByRef J As Integer _
  ) as Integer

   Declare Sub M01DZF Lib "FLDLL224M_nag.dll" ( _
    ByVal COMPAR As M01DZF_COMPAR_DELEGATE, _
    ByRef M1 As Integer, _
    ByRef M2 As Integer, _
    ByRef IRANK As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub M01EAF Lib "FLDLL224M_nag.dll" ( _
    ByRef RV As Double, _
    ByRef M1 As Integer, _
    ByRef M2 As Integer, _
    ByRef IRANK As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub M01EBF Lib "FLDLL224M_nag.dll" ( _
    ByRef IV As Integer, _
    ByRef M1 As Integer, _
    ByRef M2 As Integer, _
    ByRef IRANK As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub M01ECF Lib "FLDLL224M_nag.dll" ( _
    ByVal CH As string, ByVal CHLength As Integer, _
    ByRef M1 As Integer, _
    ByRef M2 As Integer, _
    ByRef IRANK As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub M01EDF Lib "FLDLL224M_nag.dll" ( _
    ByRef CV As Complex, _
    ByRef M1 As Integer, _
    ByRef M2 As Integer, _
    ByRef IRANK As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Function M01NAF Lib "FLDLL224M_nag.dll" ( _
    ByRef VALID As Integer, _
    ByRef RV As Double, _
    ByRef M1 As Integer, _
    ByRef M2 As Integer, _
    ByRef ITEM As Double, _
    ByRef IFAIL As Integer _
   ) as Integer


   Declare Function M01NBF Lib "FLDLL224M_nag.dll" ( _
    ByRef VALID As Integer, _
    ByRef IV As Integer, _
    ByRef M1 As Integer, _
    ByRef M2 As Integer, _
    ByRef ITEM As Integer, _
    ByRef IFAIL As Integer _
   ) as Integer


   Declare Function M01NCF Lib "FLDLL224M_nag.dll" ( _
    ByRef VALID As Integer, _
    ByVal CH As string, ByVal CHLength As Integer, _
    ByRef M1 As Integer, _
    ByRef M2 As Integer, _
    ByVal ITEM As string, ByVal ITEMLength As Integer, _
    ByRef IFAIL As Integer _
   ) as Integer


   Declare Sub M01ZAF Lib "FLDLL224M_nag.dll" ( _
    ByRef IPERM As Integer, _
    ByRef M1 As Integer, _
    ByRef M2 As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub M01ZBF Lib "FLDLL224M_nag.dll" ( _
    ByRef IPERM As Integer, _
    ByRef M1 As Integer, _
    ByRef M2 As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub M01ZCF Lib "FLDLL224M_nag.dll" ( _
    ByRef IPERM As Integer, _
    ByRef M1 As Integer, _
    ByRef M2 As Integer, _
    ByRef ICYCL As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Function P01ABF Lib "FLDLL224M_nag.dll" ( _
    ByRef IFAIL As Integer, _
    ByRef IERROR As Integer, _
    ByVal SRNAME As string, ByVal SRNAMELength As Integer, _
    ByRef NREC As Integer, _
    ByVal REC As string, ByVal RECLength As Integer _
   ) as Integer


   Declare Function S01BAF Lib "FLDLL224M_nag.dll" ( _
    ByRef X As Double, _
    ByRef IFAIL As Integer _
   ) as Double


   Declare Function S01EAF Lib "FLDLL224M_nag.dll" ( _
    ByRef Z As Complex, _
    ByRef IFAIL As Integer _
   ) as Complex


   Declare Function S07AAF Lib "FLDLL224M_nag.dll" ( _
    ByRef X As Double, _
    ByRef IFAIL As Integer _
   ) as Double


   Declare Function S09AAF Lib "FLDLL224M_nag.dll" ( _
    ByRef X As Double, _
    ByRef IFAIL As Integer _
   ) as Double


   Declare Function S09ABF Lib "FLDLL224M_nag.dll" ( _
    ByRef X As Double, _
    ByRef IFAIL As Integer _
   ) as Double


   Declare Function S10AAF Lib "FLDLL224M_nag.dll" ( _
    ByRef X As Double, _
    ByRef IFAIL As Integer _
   ) as Double


   Declare Function S10ABF Lib "FLDLL224M_nag.dll" ( _
    ByRef X As Double, _
    ByRef IFAIL As Integer _
   ) as Double


   Declare Function S10ACF Lib "FLDLL224M_nag.dll" ( _
    ByRef X As Double, _
    ByRef IFAIL As Integer _
   ) as Double


   Declare Function S11AAF Lib "FLDLL224M_nag.dll" ( _
    ByRef X As Double, _
    ByRef IFAIL As Integer _
   ) as Double


   Declare Function S11ABF Lib "FLDLL224M_nag.dll" ( _
    ByRef X As Double, _
    ByRef IFAIL As Integer _
   ) as Double


   Declare Function S11ACF Lib "FLDLL224M_nag.dll" ( _
    ByRef X As Double, _
    ByRef IFAIL As Integer _
   ) as Double


   Declare Function S13AAF Lib "FLDLL224M_nag.dll" ( _
    ByRef X As Double, _
    ByRef IFAIL As Integer _
   ) as Double


   Declare Function S13ACF Lib "FLDLL224M_nag.dll" ( _
    ByRef X As Double, _
    ByRef IFAIL As Integer _
   ) as Double


   Declare Function S13ADF Lib "FLDLL224M_nag.dll" ( _
    ByRef X As Double, _
    ByRef IFAIL As Integer _
   ) as Double


   Declare Function S14AAF Lib "FLDLL224M_nag.dll" ( _
    ByRef X As Double, _
    ByRef IFAIL As Integer _
   ) as Double


   Declare Function S14ABF Lib "FLDLL224M_nag.dll" ( _
    ByRef X As Double, _
    ByRef IFAIL As Integer _
   ) as Double


   Declare Function S14ACF Lib "FLDLL224M_nag.dll" ( _
    ByRef X As Double, _
    ByRef IFAIL As Integer _
   ) as Double


   Declare Sub S14ADF Lib "FLDLL224M_nag.dll" ( _
    ByRef X As Double, _
    ByRef N As Integer, _
    ByRef M As Integer, _
    ByRef ANS As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Function S14AEF Lib "FLDLL224M_nag.dll" ( _
    ByRef X As Double, _
    ByRef K As Integer, _
    ByRef IFAIL As Integer _
   ) as Double


   Declare Function S14AFF Lib "FLDLL224M_nag.dll" ( _
    ByRef Z As Complex, _
    ByRef K As Integer, _
    ByRef IFAIL As Integer _
   ) as Complex


   Declare Function S14AGF Lib "FLDLL224M_nag.dll" ( _
    ByRef Z As Complex, _
    ByRef IFAIL As Integer _
   ) as Complex


   Declare Sub S14BAF Lib "FLDLL224M_nag.dll" ( _
    ByRef A As Double, _
    ByRef X As Double, _
    ByRef TOL As Double, _
    ByRef P As Double, _
    ByRef Q As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Function S15ABF Lib "FLDLL224M_nag.dll" ( _
    ByRef X As Double, _
    ByRef IFAIL As Integer _
   ) as Double


   Declare Function S15ACF Lib "FLDLL224M_nag.dll" ( _
    ByRef X As Double, _
    ByRef IFAIL As Integer _
   ) as Double


   Declare Function S15ADF Lib "FLDLL224M_nag.dll" ( _
    ByRef X As Double, _
    ByRef IFAIL As Integer _
   ) as Double


   Declare Function S15AEF Lib "FLDLL224M_nag.dll" ( _
    ByRef X As Double, _
    ByRef IFAIL As Integer _
   ) as Double


   Declare Function S15AFF Lib "FLDLL224M_nag.dll" ( _
    ByRef X As Double, _
    ByRef IFAIL As Integer _
   ) as Double


   Declare Function S15AGF Lib "FLDLL224M_nag.dll" ( _
    ByRef X As Double, _
    ByRef IFAIL As Integer _
   ) as Double


   Declare Function S15DDF Lib "FLDLL224M_nag.dll" ( _
    ByRef Z As Complex, _
    ByRef IFAIL As Integer _
   ) as Complex


   Declare Function S17ACF Lib "FLDLL224M_nag.dll" ( _
    ByRef X As Double, _
    ByRef IFAIL As Integer _
   ) as Double


   Declare Function S17ADF Lib "FLDLL224M_nag.dll" ( _
    ByRef X As Double, _
    ByRef IFAIL As Integer _
   ) as Double


   Declare Function S17AEF Lib "FLDLL224M_nag.dll" ( _
    ByRef X As Double, _
    ByRef IFAIL As Integer _
   ) as Double


   Declare Function S17AFF Lib "FLDLL224M_nag.dll" ( _
    ByRef X As Double, _
    ByRef IFAIL As Integer _
   ) as Double


   Declare Function S17AGF Lib "FLDLL224M_nag.dll" ( _
    ByRef X As Double, _
    ByRef IFAIL As Integer _
   ) as Double


   Declare Function S17AHF Lib "FLDLL224M_nag.dll" ( _
    ByRef X As Double, _
    ByRef IFAIL As Integer _
   ) as Double


   Declare Function S17AJF Lib "FLDLL224M_nag.dll" ( _
    ByRef X As Double, _
    ByRef IFAIL As Integer _
   ) as Double


   Declare Function S17AKF Lib "FLDLL224M_nag.dll" ( _
    ByRef X As Double, _
    ByRef IFAIL As Integer _
   ) as Double


   Declare Sub S17ALF Lib "FLDLL224M_nag.dll" ( _
    ByRef A As Double, _
    ByRef N As Integer, _
    ByRef MODE As Integer, _
    ByRef REL As Double, _
    ByRef X As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub S17DCF Lib "FLDLL224M_nag.dll" ( _
    ByRef FNU As Double, _
    ByRef Z As Complex, _
    ByRef N As Integer, _
    ByVal SCAL As string, ByVal SCALLength As Integer, _
    ByRef CY As Complex, _
    ByRef NZ As Integer, _
    ByRef CWRK As Complex, _
    ByRef IFAIL As Integer _
   )


   Declare Sub S17DEF Lib "FLDLL224M_nag.dll" ( _
    ByRef FNU As Double, _
    ByRef Z As Complex, _
    ByRef N As Integer, _
    ByVal SCAL As string, ByVal SCALLength As Integer, _
    ByRef CY As Complex, _
    ByRef NZ As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub S17DGF Lib "FLDLL224M_nag.dll" ( _
    ByVal DERIV As string, ByVal DERIVLength As Integer, _
    ByRef Z As Complex, _
    ByVal SCAL As string, ByVal SCALLength As Integer, _
    ByRef AI As Complex, _
    ByRef NZ As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub S17DHF Lib "FLDLL224M_nag.dll" ( _
    ByVal DERIV As string, ByVal DERIVLength As Integer, _
    ByRef Z As Complex, _
    ByVal SCAL As string, ByVal SCALLength As Integer, _
    ByRef BI As Complex, _
    ByRef IFAIL As Integer _
   )


   Declare Sub S17DLF Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, _
    ByRef FNU As Double, _
    ByRef Z As Complex, _
    ByRef N As Integer, _
    ByVal SCAL As string, ByVal SCALLength As Integer, _
    ByRef CY As Complex, _
    ByRef NZ As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Function S18ACF Lib "FLDLL224M_nag.dll" ( _
    ByRef X As Double, _
    ByRef IFAIL As Integer _
   ) as Double


   Declare Function S18ADF Lib "FLDLL224M_nag.dll" ( _
    ByRef X As Double, _
    ByRef IFAIL As Integer _
   ) as Double


   Declare Function S18AEF Lib "FLDLL224M_nag.dll" ( _
    ByRef X As Double, _
    ByRef IFAIL As Integer _
   ) as Double


   Declare Function S18AFF Lib "FLDLL224M_nag.dll" ( _
    ByRef X As Double, _
    ByRef IFAIL As Integer _
   ) as Double


   Declare Function S18CCF Lib "FLDLL224M_nag.dll" ( _
    ByRef X As Double, _
    ByRef IFAIL As Integer _
   ) as Double


   Declare Function S18CDF Lib "FLDLL224M_nag.dll" ( _
    ByRef X As Double, _
    ByRef IFAIL As Integer _
   ) as Double


   Declare Function S18CEF Lib "FLDLL224M_nag.dll" ( _
    ByRef X As Double, _
    ByRef IFAIL As Integer _
   ) as Double


   Declare Function S18CFF Lib "FLDLL224M_nag.dll" ( _
    ByRef X As Double, _
    ByRef IFAIL As Integer _
   ) as Double


   Declare Sub S18DCF Lib "FLDLL224M_nag.dll" ( _
    ByRef FNU As Double, _
    ByRef Z As Complex, _
    ByRef N As Integer, _
    ByVal SCAL As string, ByVal SCALLength As Integer, _
    ByRef CY As Complex, _
    ByRef NZ As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub S18DEF Lib "FLDLL224M_nag.dll" ( _
    ByRef FNU As Double, _
    ByRef Z As Complex, _
    ByRef N As Integer, _
    ByVal SCAL As string, ByVal SCALLength As Integer, _
    ByRef CY As Complex, _
    ByRef NZ As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub S18GKF Lib "FLDLL224M_nag.dll" ( _
    ByRef Z As Complex, _
    ByRef A As Double, _
    ByRef NL As Integer, _
    ByRef B As Complex, _
    ByRef IFAIL As Integer _
   )


   Declare Function S19AAF Lib "FLDLL224M_nag.dll" ( _
    ByRef X As Double, _
    ByRef IFAIL As Integer _
   ) as Double


   Declare Function S19ABF Lib "FLDLL224M_nag.dll" ( _
    ByRef X As Double, _
    ByRef IFAIL As Integer _
   ) as Double


   Declare Function S19ACF Lib "FLDLL224M_nag.dll" ( _
    ByRef X As Double, _
    ByRef IFAIL As Integer _
   ) as Double


   Declare Function S19ADF Lib "FLDLL224M_nag.dll" ( _
    ByRef X As Double, _
    ByRef IFAIL As Integer _
   ) as Double


   Declare Function S20ACF Lib "FLDLL224M_nag.dll" ( _
    ByRef X As Double, _
    ByRef IFAIL As Integer _
   ) as Double


   Declare Function S20ADF Lib "FLDLL224M_nag.dll" ( _
    ByRef X As Double, _
    ByRef IFAIL As Integer _
   ) as Double


   Declare Function S21BAF Lib "FLDLL224M_nag.dll" ( _
    ByRef X As Double, _
    ByRef Y As Double, _
    ByRef IFAIL As Integer _
   ) as Double


   Declare Function S21BBF Lib "FLDLL224M_nag.dll" ( _
    ByRef X As Double, _
    ByRef Y As Double, _
    ByRef Z As Double, _
    ByRef IFAIL As Integer _
   ) as Double


   Declare Function S21BCF Lib "FLDLL224M_nag.dll" ( _
    ByRef X As Double, _
    ByRef Y As Double, _
    ByRef Z As Double, _
    ByRef IFAIL As Integer _
   ) as Double


   Declare Function S21BDF Lib "FLDLL224M_nag.dll" ( _
    ByRef X As Double, _
    ByRef Y As Double, _
    ByRef Z As Double, _
    ByRef R As Double, _
    ByRef IFAIL As Integer _
   ) as Double


   Declare Function S21BEF Lib "FLDLL224M_nag.dll" ( _
    ByRef PHI As Double, _
    ByRef DM As Double, _
    ByRef IFAIL As Integer _
   ) as Double


   Declare Function S21BFF Lib "FLDLL224M_nag.dll" ( _
    ByRef PHI As Double, _
    ByRef DM As Double, _
    ByRef IFAIL As Integer _
   ) as Double


   Declare Function S21BGF Lib "FLDLL224M_nag.dll" ( _
    ByRef DN As Double, _
    ByRef PHI As Double, _
    ByRef DM As Double, _
    ByRef IFAIL As Integer _
   ) as Double


   Declare Function S21BHF Lib "FLDLL224M_nag.dll" ( _
    ByRef DM As Double, _
    ByRef IFAIL As Integer _
   ) as Double


   Declare Function S21BJF Lib "FLDLL224M_nag.dll" ( _
    ByRef DM As Double, _
    ByRef IFAIL As Integer _
   ) as Double


   Declare Sub S21CAF Lib "FLDLL224M_nag.dll" ( _
    ByRef U As Double, _
    ByRef M As Double, _
    ByRef SN As Double, _
    ByRef CN As Double, _
    ByRef DN As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub S21CBF Lib "FLDLL224M_nag.dll" ( _
    ByRef Z As Complex, _
    ByRef AK2 As Double, _
    ByRef SN As Complex, _
    ByRef CN As Complex, _
    ByRef DN As Complex, _
    ByRef IFAIL As Integer _
   )


   Declare Function S21CCF Lib "FLDLL224M_nag.dll" ( _
    ByRef K As Integer, _
    ByRef X As Double, _
    ByRef Q As Double, _
    ByRef IFAIL As Integer _
   ) as Double


   Declare Function S21DAF Lib "FLDLL224M_nag.dll" ( _
    ByRef Z As Complex, _
    ByRef AKP As Double, _
    ByRef A As Double, _
    ByRef B As Double, _
    ByRef IFAIL As Integer _
   ) as Complex


   Declare Sub S22AAF Lib "FLDLL224M_nag.dll" ( _
    ByRef MODE As Integer, _
    ByRef X As Double, _
    ByRef M As Integer, _
    ByRef NL As Integer, _
    ByRef P As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub S30AAF Lib "FLDLL224M_nag.dll" ( _
    ByVal CALPUT As string, ByVal CALPUTLength As Integer, _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef X As Double, _
    ByRef S As Double, _
    ByRef T As Double, _
    ByRef SIGMA As Double, _
    ByRef R As Double, _
    ByRef Q As Double, _
    ByRef P As Double, _
    ByRef LDP As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub S30ABF Lib "FLDLL224M_nag.dll" ( _
    ByVal CALPUT As string, ByVal CALPUTLength As Integer, ByRef M As Integer, ByRef N As Integer, _
    ByRef X As Double, ByRef S As Double, ByRef T As Double, _
    ByRef SIGMA As Double, ByRef R As Double, ByRef Q As Double, _
    ByRef P As Double, ByRef LDP As Integer, ByRef DELTA As Double, _
    ByRef GAMMA As Double, ByRef VEGA As Double, ByRef THETA As Double, _
    ByRef RHO As Double, ByRef CRHO As Double, ByRef VANNA As Double, _
    ByRef CHARM As Double, ByRef SPEED As Double, ByRef COLOUR As Double, _
    ByRef ZOMMA As Double, ByRef VOMMA As Double, ByRef IFAIL As Integer _
   )


   Declare Sub S30BAF Lib "FLDLL224M_nag.dll" ( _
    ByVal CALPUT As string, ByVal CALPUTLength As Integer, _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef SM As Double, _
    ByRef S As Double, _
    ByRef T As Double, _
    ByRef SIGMA As Double, _
    ByRef R As Double, _
    ByRef Q As Double, _
    ByRef P As Double, _
    ByRef LDP As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub S30BBF Lib "FLDLL224M_nag.dll" ( _
    ByVal CALPUT As string, ByVal CALPUTLength As Integer, ByRef M As Integer, ByRef N As Integer, _
    ByRef SM As Double, ByRef S As Double, ByRef T As Double, _
    ByRef SIGMA As Double, ByRef R As Double, ByRef Q As Double, _
    ByRef P As Double, ByRef LDP As Integer, ByRef DELTA As Double, _
    ByRef GAMMA As Double, ByRef VEGA As Double, ByRef THETA As Double, _
    ByRef RHO As Double, ByRef CRHO As Double, ByRef VANNA As Double, _
    ByRef CHARM As Double, ByRef SPEED As Double, ByRef COLOUR As Double, _
    ByRef ZOMMA As Double, ByRef VOMMA As Double, ByRef IFAIL As Integer _
   )


   Declare Sub S30CAF Lib "FLDLL224M_nag.dll" ( _
    ByVal CALPUT As string, ByVal CALPUTLength As Integer, _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef X As Double, _
    ByRef S As Double, _
    ByRef K As Double, _
    ByRef T As Double, _
    ByRef SIGMA As Double, _
    ByRef R As Double, _
    ByRef Q As Double, _
    ByRef P As Double, _
    ByRef LDP As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub S30CBF Lib "FLDLL224M_nag.dll" ( _
    ByVal CALPUT As string, ByVal CALPUTLength As Integer, ByRef M As Integer, ByRef N As Integer, _
    ByRef X As Double, ByRef S As Double, ByRef K As Double, _
    ByRef T As Double, ByRef SIGMA As Double, ByRef R As Double, _
    ByRef Q As Double, ByRef P As Double, ByRef LDP As Integer, _
    ByRef DELTA As Double, ByRef GAMMA As Double, ByRef VEGA As Double, _
    ByRef THETA As Double, ByRef RHO As Double, ByRef CRHO As Double, _
    ByRef VANNA As Double, ByRef CHARM As Double, ByRef SPEED As Double, _
    ByRef COLOUR As Double, ByRef ZOMMA As Double, ByRef VOMMA As Double, _
    ByRef IFAIL As Integer _
   )


   Declare Sub S30CCF Lib "FLDLL224M_nag.dll" ( _
    ByVal CALPUT As string, ByVal CALPUTLength As Integer, _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef X As Double, _
    ByRef S As Double, _
    ByRef T As Double, _
    ByRef SIGMA As Double, _
    ByRef R As Double, _
    ByRef Q As Double, _
    ByRef P As Double, _
    ByRef LDP As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub S30CDF Lib "FLDLL224M_nag.dll" ( _
    ByVal CALPUT As string, ByVal CALPUTLength As Integer, ByRef M As Integer, ByRef N As Integer, _
    ByRef X As Double, ByRef S As Double, ByRef T As Double, _
    ByRef SIGMA As Double, ByRef R As Double, ByRef Q As Double, _
    ByRef P As Double, ByRef LDP As Integer, ByRef DELTA As Double, _
    ByRef GAMMA As Double, ByRef VEGA As Double, ByRef THETA As Double, _
    ByRef RHO As Double, ByRef CRHO As Double, ByRef VANNA As Double, _
    ByRef CHARM As Double, ByRef SPEED As Double, ByRef COLOUR As Double, _
    ByRef ZOMMA As Double, ByRef VOMMA As Double, ByRef IFAIL As Integer _
   )


   Declare Sub S30FAF Lib "FLDLL224M_nag.dll" ( _
    ByVal CALPUT As string, ByVal CALPUTLength As Integer, _
    ByVal TYP As string, ByVal TYPLength As Integer, _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef X As Double, _
    ByRef S As Double, _
    ByRef H As Double, _
    ByRef K As Double, _
    ByRef T As Double, _
    ByRef SIGMA As Double, _
    ByRef R As Double, _
    ByRef Q As Double, _
    ByRef P As Double, _
    ByRef LDP As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub S30JAF Lib "FLDLL224M_nag.dll" ( _
    ByVal CALPUT As string, ByVal CALPUTLength As Integer, _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef X As Double, _
    ByRef S As Double, _
    ByRef T As Double, _
    ByRef SIGMA As Double, _
    ByRef R As Double, _
    ByRef LAMBDA As Double, _
    ByRef JVOL As Double, _
    ByRef P As Double, _
    ByRef LDP As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub S30JBF Lib "FLDLL224M_nag.dll" ( _
    ByVal CALPUT As string, ByVal CALPUTLength As Integer, ByRef M As Integer, ByRef N As Integer, _
    ByRef X As Double, ByRef S As Double, ByRef T As Double, _
    ByRef SIGMA As Double, ByRef R As Double, ByRef LAMBDA As Double, _
    ByRef JVOL As Double, ByRef P As Double, ByRef LDP As Integer, _
    ByRef DELTA As Double, ByRef GAMMA As Double, ByRef VEGA As Double, _
    ByRef THETA As Double, ByRef RHO As Double, ByRef VANNA As Double, _
    ByRef CHARM As Double, ByRef SPEED As Double, ByRef COLOUR As Double, _
    ByRef ZOMMA As Double, ByRef VOMMA As Double, ByRef IFAIL As Integer _
   )


   Declare Sub S30NAF Lib "FLDLL224M_nag.dll" ( _
    ByVal CALPUT As string, ByVal CALPUTLength As Integer, _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef X As Double, _
    ByRef S As Double, _
    ByRef T As Double, _
    ByRef SIGMAV As Double, _
    ByRef KAPPA As Double, _
    ByRef CORR As Double, _
    ByRef VAR0 As Double, _
    ByRef ETA As Double, _
    ByRef GAMMA As Double, _
    ByRef R As Double, _
    ByRef Q As Double, _
    ByRef P As Double, _
    ByRef LDP As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub S30QCF Lib "FLDLL224M_nag.dll" ( _
    ByVal CALPUT As string, ByVal CALPUTLength As Integer, _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef X As Double, _
    ByRef S As Double, _
    ByRef T As Double, _
    ByRef SIGMA As Double, _
    ByRef R As Double, _
    ByRef Q As Double, _
    ByRef P As Double, _
    ByRef LDP As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub S30SAF Lib "FLDLL224M_nag.dll" ( _
    ByVal CALPUT As string, ByVal CALPUTLength As Integer, _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef X As Double, _
    ByRef S As Double, _
    ByRef T As Double, _
    ByRef SIGMA As Double, _
    ByRef R As Double, _
    ByRef B As Double, _
    ByRef P As Double, _
    ByRef LDP As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub S30SBF Lib "FLDLL224M_nag.dll" ( _
    ByVal CALPUT As string, ByVal CALPUTLength As Integer, ByRef M As Integer, ByRef N As Integer, _
    ByRef X As Double, ByRef S As Double, ByRef T As Double, _
    ByRef SIGMA As Double, ByRef R As Double, ByRef B As Double, _
    ByRef P As Double, ByRef LDP As Integer, ByRef DELTA As Double, _
    ByRef GAMMA As Double, ByRef VEGA As Double, ByRef THETA As Double, _
    ByRef RHO As Double, ByRef CRHO As Double, ByRef VANNA As Double, _
    ByRef CHARM As Double, ByRef SPEED As Double, ByRef COLOUR As Double, _
    ByRef ZOMMA As Double, ByRef VOMMA As Double, ByRef IFAIL As Integer _
   )


   Declare Function X01AAF Lib "FLDLL224M_nag.dll" ( _
    ByRef X As Double _
   ) as Double


   Declare Function X01ABF Lib "FLDLL224M_nag.dll" ( _
    ByRef X As Double _
   ) as Double


   Declare Function X02AHF Lib "FLDLL224M_nag.dll" ( _
    ByRef X As Double _
   ) as Double


   Declare Function X02AJF Lib "FLDLL224M_nag.dll" ( _
   ) as Double


   Declare Function X02AKF Lib "FLDLL224M_nag.dll" ( _
   ) as Double


   Declare Function X02ALF Lib "FLDLL224M_nag.dll" ( _
   ) as Double


   Declare Function X02AMF Lib "FLDLL224M_nag.dll" ( _
   ) as Double


   Declare Function X02ANF Lib "FLDLL224M_nag.dll" ( _
   ) as Double


   Declare Function X02BBF Lib "FLDLL224M_nag.dll" ( _
    ByRef X As Double _
   ) as Integer


   Declare Function X02BEF Lib "FLDLL224M_nag.dll" ( _
    ByRef X As Double _
   ) as Integer


   Declare Function X02BHF Lib "FLDLL224M_nag.dll" ( _
   ) as Integer


   Declare Function X02BJF Lib "FLDLL224M_nag.dll" ( _
   ) as Integer


   Declare Function X02BKF Lib "FLDLL224M_nag.dll" ( _
   ) as Integer


   Declare Function X02BLF Lib "FLDLL224M_nag.dll" ( _
   ) as Integer


   Declare Function X02DAF Lib "FLDLL224M_nag.dll" ( _
    ByRef X As Double _
   ) as Integer


   Declare Function X02DJF Lib "FLDLL224M_nag.dll" ( _
   ) as Integer


   Declare Sub X03AAF Lib "FLDLL224M_nag.dll" ( _
    ByRef A As Double, _
    ByRef ISIZEA As Integer, _
    ByRef B As Double, _
    ByRef ISIZEB As Integer, _
    ByRef N As Integer, _
    ByRef ISTEPA As Integer, _
    ByRef ISTEPB As Integer, _
    ByRef C1 As Double, _
    ByRef C2 As Double, _
    ByRef D1 As Double, _
    ByRef D2 As Double, _
    ByRef SW As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub X03AAW Lib "FLDLL224M_nag.dll" ( _
    ByRef OLDCW As Integer _
   )


   Declare Sub X03AAX Lib "FLDLL224M_nag.dll" ( _
    ByRef OLDCW As Integer _
   )


   Declare Sub X03ABF Lib "FLDLL224M_nag.dll" ( _
    ByRef A As Complex, _
    ByRef ISIZEA As Integer, _
    ByRef B As Complex, _
    ByRef ISIZEB As Integer, _
    ByRef N As Integer, _
    ByRef ISTEPA As Integer, _
    ByRef ISTEPB As Integer, _
    ByRef CX As Complex, _
    ByRef DX As Complex, _
    ByRef SW As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub X04AAF Lib "FLDLL224M_nag.dll" ( _
    ByRef IFLAG As Integer, _
    ByRef NERR As Integer _
   )


   Declare Sub X04ABF Lib "FLDLL224M_nag.dll" ( _
    ByRef IFLAG As Integer, _
    ByRef NADV As Integer _
   )


   Declare Sub X04ACF Lib "FLDLL224M_nag.dll" ( _
    ByRef IOUNIT As Integer, _
    ByVal FILE As string, ByVal FILELength As Integer, _
    ByRef MODE As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub X04ADF Lib "FLDLL224M_nag.dll" ( _
    ByRef IOUNIT As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub X04BAF Lib "FLDLL224M_nag.dll" ( _
    ByRef NOUT As Integer, _
    ByVal REC As string, ByVal RECLength As Integer _
   )


   Declare Sub X04BBF Lib "FLDLL224M_nag.dll" ( _
    ByRef NIN As Integer, _
    ByVal RECIN As string, ByVal RECINLength As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub X04CAF Lib "FLDLL224M_nag.dll" ( _
    ByVal MATRIX As string, ByVal MATRIXLength As Integer, _
    ByVal DIAG As string, ByVal DIAGLength As Integer, _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByVal TITLE As string, ByVal TITLELength As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub X04CBF Lib "FLDLL224M_nag.dll" ( _
    ByVal MATRIX As string, ByVal MATRIXLength As Integer, _
    ByVal DIAG As string, ByVal DIAGLength As Integer, _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByVal FORM As string, ByVal FORMLength As Integer, _
    ByVal TITLE As string, ByVal TITLELength As Integer, _
    ByVal LABROW As string, ByVal LABROWLength As Integer, _
    ByVal RLABS As string, ByVal RLABSLength As Integer, _
    ByVal LABCOL As string, ByVal LABCOLLength As Integer, _
    ByVal CLABS As string, ByVal CLABSLength As Integer, _
    ByRef NCOLS As Integer, _
    ByRef INDENT As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub X04CCF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByVal DIAG As string, ByVal DIAGLength As Integer, _
    ByRef N As Integer, _
    ByRef A As Double, _
    ByVal TITLE As string, ByVal TITLELength As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub X04CDF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByVal DIAG As string, ByVal DIAGLength As Integer, _
    ByRef N As Integer, _
    ByRef A As Double, _
    ByVal FORM As string, ByVal FORMLength As Integer, _
    ByVal TITLE As string, ByVal TITLELength As Integer, _
    ByVal LABROW As string, ByVal LABROWLength As Integer, _
    ByVal RLABS As string, ByVal RLABSLength As Integer, _
    ByVal LABCOL As string, ByVal LABCOLLength As Integer, _
    ByVal CLABS As string, ByVal CLABSLength As Integer, _
    ByRef NCOLS As Integer, _
    ByRef INDENT As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub X04CEF Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef KL As Integer, _
    ByRef KU As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByVal TITLE As string, ByVal TITLELength As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub X04CFF Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef KL As Integer, _
    ByRef KU As Integer, _
    ByRef A As Double, _
    ByRef LDA As Integer, _
    ByVal FORM As string, ByVal FORMLength As Integer, _
    ByVal TITLE As string, ByVal TITLELength As Integer, _
    ByVal LABROW As string, ByVal LABROWLength As Integer, _
    ByVal RLABS As string, ByVal RLABSLength As Integer, _
    ByVal LABCOL As string, ByVal LABCOLLength As Integer, _
    ByVal CLABS As string, ByVal CLABSLength As Integer, _
    ByRef NCOLS As Integer, _
    ByRef INDENT As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub X04DAF Lib "FLDLL224M_nag.dll" ( _
    ByVal MATRIX As string, ByVal MATRIXLength As Integer, _
    ByVal DIAG As string, ByVal DIAGLength As Integer, _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByVal TITLE As string, ByVal TITLELength As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub X04DBF Lib "FLDLL224M_nag.dll" ( _
    ByVal MATRIX As string, ByVal MATRIXLength As Integer, _
    ByVal DIAG As string, ByVal DIAGLength As Integer, _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByVal USEFRM As string, ByVal USEFRMLength As Integer, _
    ByVal FORM As string, ByVal FORMLength As Integer, _
    ByVal TITLE As string, ByVal TITLELength As Integer, _
    ByVal LABROW As string, ByVal LABROWLength As Integer, _
    ByVal RLABS As string, ByVal RLABSLength As Integer, _
    ByVal LABCOL As string, ByVal LABCOLLength As Integer, _
    ByVal CLABS As string, ByVal CLABSLength As Integer, _
    ByRef NCOLS As Integer, _
    ByRef INDENT As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub X04DCF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByVal DIAG As string, ByVal DIAGLength As Integer, _
    ByRef N As Integer, _
    ByRef A As Complex, _
    ByVal TITLE As string, ByVal TITLELength As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub X04DDF Lib "FLDLL224M_nag.dll" ( _
    ByVal UPLO As string, ByVal UPLOLength As Integer, _
    ByVal DIAG As string, ByVal DIAGLength As Integer, _
    ByRef N As Integer, _
    ByRef A As Complex, _
    ByVal USEFRM As string, ByVal USEFRMLength As Integer, _
    ByVal FORM As string, ByVal FORMLength As Integer, _
    ByVal TITLE As string, ByVal TITLELength As Integer, _
    ByVal LABROW As string, ByVal LABROWLength As Integer, _
    ByVal RLABS As string, ByVal RLABSLength As Integer, _
    ByVal LABCOL As string, ByVal LABCOLLength As Integer, _
    ByVal CLABS As string, ByVal CLABSLength As Integer, _
    ByRef NCOLS As Integer, _
    ByRef INDENT As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub X04DEF Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef KL As Integer, _
    ByRef KU As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByVal TITLE As string, ByVal TITLELength As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub X04DFF Lib "FLDLL224M_nag.dll" ( _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef KL As Integer, _
    ByRef KU As Integer, _
    ByRef A As Complex, _
    ByRef LDA As Integer, _
    ByVal USEFRM As string, ByVal USEFRMLength As Integer, _
    ByVal FORM As string, ByVal FORMLength As Integer, _
    ByVal TITLE As string, ByVal TITLELength As Integer, _
    ByVal LABROW As string, ByVal LABROWLength As Integer, _
    ByVal RLABS As string, ByVal RLABSLength As Integer, _
    ByVal LABCOL As string, ByVal LABCOLLength As Integer, _
    ByVal CLABS As string, ByVal CLABSLength As Integer, _
    ByRef NCOLS As Integer, _
    ByRef INDENT As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub X04EAF Lib "FLDLL224M_nag.dll" ( _
    ByVal MATRIX As string, ByVal MATRIXLength As Integer, _
    ByVal DIAG As string, ByVal DIAGLength As Integer, _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef A As Integer, _
    ByRef LDA As Integer, _
    ByVal TITLE As string, ByVal TITLELength As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub X04EBF Lib "FLDLL224M_nag.dll" ( _
    ByVal MATRIX As string, ByVal MATRIXLength As Integer, _
    ByVal DIAG As string, ByVal DIAGLength As Integer, _
    ByRef M As Integer, _
    ByRef N As Integer, _
    ByRef A As Integer, _
    ByRef LDA As Integer, _
    ByVal FORM As string, ByVal FORMLength As Integer, _
    ByVal TITLE As string, ByVal TITLELength As Integer, _
    ByVal LABROW As string, ByVal LABROWLength As Integer, _
    ByVal RLABS As string, ByVal RLABSLength As Integer, _
    ByVal LABCOL As string, ByVal LABCOLLength As Integer, _
    ByVal CLABS As string, ByVal CLABSLength As Integer, _
    ByRef NCOLS As Integer, _
    ByRef INDENT As Integer, _
    ByRef IFAIL As Integer _
   )


   Declare Sub X05AAF Lib "FLDLL224M_nag.dll" ( _
    ByRef ITIME As Integer _
   )


   Declare Sub X05ABF Lib "FLDLL224M_nag.dll" ( _
    ByVal RETVAL As string, ByVal RETVALLength As Integer, _
    ByRef ITIME As Integer _
   )


   Declare Function X05ACF Lib "FLDLL224M_nag.dll" ( _
    ByVal CTIME1 As string, ByVal CTIME1Length As Integer, _
    ByVal CTIME2 As string, ByVal CTIME2Length As Integer _
   ) as Integer


   Declare Function X05BAF Lib "FLDLL224M_nag.dll" ( _
   ) as Double

End Module