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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) 2006-2007, Free Software Foundation, Inc.         --
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  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- --
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  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.  See the GNU General Public License --
  17 -- for  more details.  You should have  received  a copy of the GNU General --
  18 -- Public License  distributed with GNAT;  see file COPYING.  If not, write --
  19 -- to  the  Free Software Foundation,  51  Franklin  Street,  Fifth  Floor, --
  20 -- Boston, MA 02110-1301, USA.                                              --
  21 --                                                                          --
  22 -- As a special exception,  if other files  instantiate  generics from this --
  23 -- unit, or you link  this unit with other files  to produce an executable, --
  24 -- this  unit  does not  by itself cause  the resulting  executable  to  be --
  25 -- covered  by the  GNU  General  Public  License.  This exception does not --
  26 -- however invalidate  any other reasons why  the executable file  might be --
  27 -- covered by the  GNU Public License.                                      --
  28 --                                                                          --
  29 -- GNAT was originally developed  by the GNAT team at  New York University. --
  30 -- Extensive contributions were provided by Ada Core Technologies Inc.      --
  31 --                                                                          --
  32 ------------------------------------------------------------------------------
  33
  34 --  Package comment required ???
  35
  36 with Ada.Numerics.Generic_Complex_Types;
  37 generic
  38    type Real is digits <>;
  39    type Real_Vector is array (Integer range <>) of Real;
  40
  41    with package Complex_Types is new Ada.Numerics.Generic_Complex_Types (Real);
  42    use Complex_Types;
  43
  44    type Complex_Vector is array (Integer range <>) of Complex;
  45    type Complex_Matrix is array (Integer range <>, Integer range <>)
  46       of Complex;
  47 package System.Generic_Complex_LAPACK is
  48    pragma Pure;
  49
  50    type Integer_Vector is array (Integer range <>) of Integer;
  51
  52    Upper : aliased constant Character := 'U';
  53    Lower : aliased constant Character := 'L';
  54
  55    --  LAPACK Computational Routines
  56
  57    --  getrf computes LU factorization of a general m-by-n matrix
  58
  59    procedure getrf
  60      (M     : Natural;
  61       N     : Natural;
  62       A     : in out Complex_Matrix;
  63       Ld_A  : Positive;
  64       I_Piv : out Integer_Vector;
  65       Info  : access Integer);
  66
  67    --  getri computes inverse of an LU-factored square matrix,
  68    --  with multiple right-hand sides
  69
  70    procedure getri
  71      (N      : Natural;
  72       A      : in out Complex_Matrix;
  73       Ld_A   : Positive;
  74       I_Piv  : Integer_Vector;
  75       Work   : in out Complex_Vector;
  76       L_Work : Integer;
  77       Info   : access Integer);
  78
  79    --  getrs solves a system of linear equations with an LU-factored
  80    --  square matrix, with multiple right-hand sides
  81
  82    procedure getrs
  83      (Trans  : access constant Character;
  84       N      : Natural;
  85       N_Rhs  : Natural;
  86       A      : Complex_Matrix;
  87       Ld_A   : Positive;
  88       I_Piv  : Integer_Vector;
  89       B      : in out Complex_Matrix;
  90       Ld_B   : Positive;
  91       Info   : access Integer);
  92
  93    --  heevr computes selected eigenvalues and, optionally,
  94    --  eigenvectors of a Hermitian matrix using the Relatively
  95    --  Robust Representations
  96
  97    procedure heevr
  98      (Job_Z    : access constant Character;
  99       Rng      : access constant Character;
 100       Uplo     : access constant Character;
 101       N        : Natural;
 102       A        : in out Complex_Matrix;
 103       Ld_A     : Positive;
 104       Vl, Vu   : Real := 0.0;
 105       Il, Iu   : Integer := 1;
 106       Abs_Tol  : Real := 0.0;
 107       M        : out Integer;
 108       W        : out Real_Vector;
 109       Z        : out Complex_Matrix;
 110       Ld_Z     : Positive;
 111       I_Supp_Z : out Integer_Vector;
 112       Work     : out Complex_Vector;
 113       L_Work   : Integer;
 114       R_Work   : out Real_Vector;
 115       LR_Work  : Integer;
 116       I_Work   : out Integer_Vector;
 117       LI_Work  : Integer;
 118       Info     : access Integer);
 119
 120    --  steqr computes all eigenvalues and eigenvectors of a symmetric or
 121    --  Hermitian matrix reduced to tridiagonal form (QR algorithm)
 122
 123    procedure steqr
 124      (Comp_Z : access constant Character;
 125       N      : Natural;
 126       D      : in out Real_Vector;
 127       E      : in out Real_Vector;
 128       Z      : in out Complex_Matrix;
 129       Ld_Z   : Positive;
 130       Work   : out Real_Vector;
 131       Info   : access Integer);
 132
 133 end System.Generic_Complex_LAPACK;