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------------------------------------------------------------------------------

--  Package comment required ???

generic
   type Real is digits <>;
   type Real_Vector is array (Integer range <>) of Real;
   type Real_Matrix is array (Integer range <>, Integer range <>) of Real;
package System.Generic_Real_LAPACK is
   pragma Pure;

   type Integer_Vector is array (Integer range <>) of Integer;

   Upper : aliased constant Character := 'U';
   Lower : aliased constant Character := 'L';

   --  LAPACK Computational Routines

   --  gerfs  Refines the solution of a system of linear equations with
   --         a general matrix and estimates its error
   --  getrf  Computes LU factorization of a general m-by-n matrix
   --  getri  Computes inverse of an LU-factored general matrix
   --         square matrix, with multiple right-hand sides
   --  getrs  Solves a system of linear equations with an LU-factored
   --         square matrix, with multiple right-hand sides
   --  orgtr  Generates the Float orthogonal matrix Q determined by sytrd
   --  steqr  Computes all eigenvalues and eigenvectors of a symmetric or
   --         Hermitian matrix reduced to tridiagonal form (QR algorithm)
   --  sterf  Computes all eigenvalues of a Float symmetric
   --         tridiagonal matrix using QR algorithm
   --  sytrd  Reduces a Float symmetric matrix to tridiagonal form

   procedure getrf
     (M     : Natural;
      N     : Natural;
      A     : in out Real_Matrix;
      Ld_A  : Positive;
      I_Piv : out Integer_Vector;
      Info  : access Integer);

   procedure getri
     (N      : Natural;
      A      : in out Real_Matrix;
      Ld_A   : Positive;
      I_Piv  : Integer_Vector;
      Work   : in out Real_Vector;
      L_Work : Integer;
      Info   : access Integer);

   procedure getrs
     (Trans  : access constant Character;
      N      : Natural;
      N_Rhs  : Natural;
      A      : Real_Matrix;
      Ld_A   : Positive;
      I_Piv  : Integer_Vector;
      B      : in out Real_Matrix;
      Ld_B   : Positive;
      Info   : access Integer);

   procedure orgtr
     (Uplo   : access constant Character;
      N      : Natural;
      A      : in out Real_Matrix;
      Ld_A   : Positive;
      Tau    : Real_Vector;
      Work   : out Real_Vector;
      L_Work : Integer;
      Info   : access Integer);

   procedure sterf
     (N      : Natural;
      D      : in out Real_Vector;
      E      : in out Real_Vector;
      Info   : access Integer);

   procedure steqr
     (Comp_Z : access constant Character;
      N      : Natural;
      D      : in out Real_Vector;
      E      : in out Real_Vector;
      Z      : in out Real_Matrix;
      Ld_Z   : Positive;
      Work   : out Real_Vector;
      Info   : access Integer);

   procedure sytrd
     (Uplo   : access constant Character;
      N      : Natural;
      A      : in out Real_Matrix;
      Ld_A   : Positive;
      D      : out Real_Vector;
      E      : out Real_Vector;
      Tau    : out Real_Vector;
      Work   : out Real_Vector;
      L_Work : Integer;
      Info   : access Integer);

end System.Generic_Real_LAPACK;
