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   1 ------------------------------------------------------------------------------
   2 --                                                                          --
   3 --                         GNAT RUN-TIME COMPONENTS                         --
   4 --                                                                          --
   5 --           S Y S T E M . G E N E R I C _ R E A L _ L A P A C K            --
   6 --                                                                          --
   7 --                                 S p e c                                  --
   8 --                                                                          --
   9 --          Copyright (C) 2006-2009, Free Software Foundation, Inc.         --
  10 --                                                                          --
  11 -- GNAT is free software;  you can  redistribute it  and/or modify it under --
  12 -- terms of the  GNU General Public License as published  by the Free Soft- --
  13 -- ware  Foundation;  either version 3,  or (at your option) any later ver- --
  14 -- sion.  GNAT is distributed in the hope that it will be useful, but WITH- --
  15 -- OUT ANY WARRANTY;  without even the  implied warranty of MERCHANTABILITY --
  16 -- or FITNESS FOR A PARTICULAR PURPOSE.                                     --
  17 --                                                                          --
  18 -- As a special exception under Section 7 of GPL version 3, you are granted --
  19 -- additional permissions described in the GCC Runtime Library Exception,   --
  20 -- version 3.1, as published by the Free Software Foundation.               --
  21 --                                                                          --
  22 -- You should have received a copy of the GNU General Public License and    --
  23 -- a copy of the GCC Runtime Library Exception along with this program;     --
  24 -- see the files COPYING3 and COPYING.RUNTIME respectively.  If not, see    --
  25 -- <http://www.gnu.org/licenses/>.                                          --
  26 --                                                                          --
  27 -- GNAT was originally developed  by the GNAT team at  New York University. --
  28 -- Extensive contributions were provided by Ada Core Technologies Inc.      --
  29 --                                                                          --
  30 ------------------------------------------------------------------------------
  31
  32 --  Package comment required ???
  33
  34 generic
  35    type Real is digits <>;
  36    type Real_Vector is array (Integer range <>) of Real;
  37    type Real_Matrix is array (Integer range <>, Integer range <>) of Real;
  38 package System.Generic_Real_LAPACK is
  39    pragma Pure;
  40
  41    type Integer_Vector is array (Integer range <>) of Integer;
  42
  43    Upper : aliased constant Character := 'U';
  44    Lower : aliased constant Character := 'L';
  45
  46    --  LAPACK Computational Routines
  47
  48    --  gerfs  Refines the solution of a system of linear equations with
  49    --         a general matrix and estimates its error
  50    --  getrf  Computes LU factorization of a general m-by-n matrix
  51    --  getri  Computes inverse of an LU-factored general matrix
  52    --         square matrix, with multiple right-hand sides
  53    --  getrs  Solves a system of linear equations with an LU-factored
  54    --         square matrix, with multiple right-hand sides
  55    --  orgtr  Generates the Float orthogonal matrix Q determined by sytrd
  56    --  steqr  Computes all eigenvalues and eigenvectors of a symmetric or
  57    --         Hermitian matrix reduced to tridiagonal form (QR algorithm)
  58    --  sterf  Computes all eigenvalues of a Float symmetric
  59    --         tridiagonal matrix using QR algorithm
  60    --  sytrd  Reduces a Float symmetric matrix to tridiagonal form
  61
  62    procedure getrf
  63      (M     : Natural;
  64       N     : Natural;
  65       A     : in out Real_Matrix;
  66       Ld_A  : Positive;
  67       I_Piv : out Integer_Vector;
  68       Info  : access Integer);
  69
  70    procedure getri
  71      (N      : Natural;
  72       A      : in out Real_Matrix;
  73       Ld_A   : Positive;
  74       I_Piv  : Integer_Vector;
  75       Work   : in out Real_Vector;
  76       L_Work : Integer;
  77       Info   : access Integer);
  78
  79    procedure getrs
  80      (Trans  : access constant Character;
  81       N      : Natural;
  82       N_Rhs  : Natural;
  83       A      : Real_Matrix;
  84       Ld_A   : Positive;
  85       I_Piv  : Integer_Vector;
  86       B      : in out Real_Matrix;
  87       Ld_B   : Positive;
  88       Info   : access Integer);
  89
  90    procedure orgtr
  91      (Uplo   : access constant Character;
  92       N      : Natural;
  93       A      : in out Real_Matrix;
  94       Ld_A   : Positive;
  95       Tau    : Real_Vector;
  96       Work   : out Real_Vector;
  97       L_Work : Integer;
  98       Info   : access Integer);
  99
 100    procedure sterf
 101      (N      : Natural;
 102       D      : in out Real_Vector;
 103       E      : in out Real_Vector;
 104       Info   : access Integer);
 105
 106    procedure steqr
 107      (Comp_Z : access constant Character;
 108       N      : Natural;
 109       D      : in out Real_Vector;
 110       E      : in out Real_Vector;
 111       Z      : in out Real_Matrix;
 112       Ld_Z   : Positive;
 113       Work   : out Real_Vector;
 114       Info   : access Integer);
 115
 116    procedure sytrd
 117      (Uplo   : access constant Character;
 118       N      : Natural;
 119       A      : in out Real_Matrix;
 120       Ld_A   : Positive;
 121       D      : out Real_Vector;
 122       E      : out Real_Vector;
 123       Tau    : out Real_Vector;
 124       Work   : out Real_Vector;
 125       L_Work : Integer;
 126       Info   : access Integer);
 127
 128 end System.Generic_Real_LAPACK;