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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 _ B L A S          --
   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
  36 generic
  37    type Real is digits <>;
  38    with package Complex_Types is new Ada.Numerics.Generic_Complex_Types (Real);
  39    use Complex_Types;
  40
  41    type Complex_Vector is array (Integer range <>) of Complex;
  42    type Complex_Matrix is array (Integer range <>, Integer range <>)
  43       of Complex;
  44 package System.Generic_Complex_BLAS is
  45    pragma Pure;
  46
  47    --  Although BLAS support is only available for IEEE single and double
  48    --  compatible floating-point types, this unit will accept any type
  49    --  and apply conversions as necessary, with possible loss of
  50    --  precision and range.
  51
  52    No_Trans   : aliased constant Character := 'N';
  53    Trans      : aliased constant Character := 'T';
  54    Conj_Trans : aliased constant Character := 'C';
  55
  56    --  BLAS Level 1 Subprograms and Types
  57
  58    function dot
  59      (N     : Positive;
  60       X     : Complex_Vector;
  61       Inc_X : Integer := 1;
  62       Y     : Complex_Vector;
  63       Inc_Y : Integer := 1) return Complex;
  64
  65    function nrm2
  66      (N     : Natural;
  67       X     : Complex_Vector;
  68       Inc_X : Integer := 1) return Real;
  69
  70    procedure gemv
  71      (Trans : access constant Character;
  72       M     : Natural := 0;
  73       N     : Natural := 0;
  74       Alpha : Complex := (1.0, 0.0);
  75       A     : Complex_Matrix;
  76       Ld_A  : Positive;
  77       X     : Complex_Vector;
  78       Inc_X : Integer := 1;  -- must be non-zero
  79       Beta  : Complex := (0.0, 0.0);
  80       Y     : in out Complex_Vector;
  81       Inc_Y : Integer := 1); -- must be non-zero
  82
  83    --  BLAS Level 3
  84
  85    --  gemm   s, d, c, z  Matrix-matrix product of general matrices
  86
  87    procedure gemm
  88      (Trans_A : access constant Character;
  89       Trans_B : access constant Character;
  90       M       : Positive;
  91       N       : Positive;
  92       K       : Positive;
  93       Alpha   : Complex := (1.0, 0.0);
  94       A       : Complex_Matrix;
  95       Ld_A    : Integer;
  96       B       : Complex_Matrix;
  97       Ld_B    : Integer;
  98       Beta    : Complex := (0.0, 0.0);
  99       C       : in out Complex_Matrix;
 100       Ld_C    : Integer);
 101
 102 end System.Generic_Complex_BLAS;