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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 _ C O M P L E X _ 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 with Ada.Numerics.Generic_Complex_Types;
  35 generic
  36    type Real is digits <>;
  37    type Real_Vector is array (Integer range <>) of Real;
  38
  39    with package Complex_Types is new Ada.Numerics.Generic_Complex_Types (Real);
  40    use Complex_Types;
  41
  42    type Complex_Vector is array (Integer range <>) of Complex;
  43    type Complex_Matrix is array (Integer range <>, Integer range <>)
  44       of Complex;
  45 package System.Generic_Complex_LAPACK is
  46    pragma Pure;
  47
  48    type Integer_Vector is array (Integer range <>) of Integer;
  49
  50    Upper : aliased constant Character := 'U';
  51    Lower : aliased constant Character := 'L';
  52
  53    --  LAPACK Computational Routines
  54
  55    --  getrf computes LU factorization of a general m-by-n matrix
  56
  57    procedure getrf
  58      (M     : Natural;
  59       N     : Natural;
  60       A     : in out Complex_Matrix;
  61       Ld_A  : Positive;
  62       I_Piv : out Integer_Vector;
  63       Info  : access Integer);
  64
  65    --  getri computes inverse of an LU-factored square matrix,
  66    --  with multiple right-hand sides
  67
  68    procedure getri
  69      (N      : Natural;
  70       A      : in out Complex_Matrix;
  71       Ld_A   : Positive;
  72       I_Piv  : Integer_Vector;
  73       Work   : in out Complex_Vector;
  74       L_Work : Integer;
  75       Info   : access Integer);
  76
  77    --  getrs solves a system of linear equations with an LU-factored
  78    --  square matrix, with multiple right-hand sides
  79
  80    procedure getrs
  81      (Trans  : access constant Character;
  82       N      : Natural;
  83       N_Rhs  : Natural;
  84       A      : Complex_Matrix;
  85       Ld_A   : Positive;
  86       I_Piv  : Integer_Vector;
  87       B      : in out Complex_Matrix;
  88       Ld_B   : Positive;
  89       Info   : access Integer);
  90
  91    --  heevr computes selected eigenvalues and, optionally,
  92    --  eigenvectors of a Hermitian matrix using the Relatively
  93    --  Robust Representations
  94
  95    procedure heevr
  96      (Job_Z    : access constant Character;
  97       Rng      : access constant Character;
  98       Uplo     : access constant Character;
  99       N        : Natural;
 100       A        : in out Complex_Matrix;
 101       Ld_A     : Positive;
 102       Vl, Vu   : Real := 0.0;
 103       Il, Iu   : Integer := 1;
 104       Abs_Tol  : Real := 0.0;
 105       M        : out Integer;
 106       W        : out Real_Vector;
 107       Z        : out Complex_Matrix;
 108       Ld_Z     : Positive;
 109       I_Supp_Z : out Integer_Vector;
 110       Work     : out Complex_Vector;
 111       L_Work   : Integer;
 112       R_Work   : out Real_Vector;
 113       LR_Work  : Integer;
 114       I_Work   : out Integer_Vector;
 115       LI_Work  : Integer;
 116       Info     : access Integer);
 117
 118    --  steqr computes all eigenvalues and eigenvectors of a symmetric or
 119    --  Hermitian matrix reduced to tridiagonal form (QR algorithm)
 120
 121    procedure steqr
 122      (Comp_Z : access constant Character;
 123       N      : Natural;
 124       D      : in out Real_Vector;
 125       E      : in out Real_Vector;
 126       Z      : in out Complex_Matrix;
 127       Ld_Z   : Positive;
 128       Work   : out Real_Vector;
 129       Info   : access Integer);
 130
 131 end System.Generic_Complex_LAPACK;