gcc/ada/a-ngcoty.ads

   1 ------------------------------------------------------------------------------
   2 --                                                                          --
   3 --                         GNAT RUN-TIME COMPONENTS                         --
   4 --                                                                          --
   5 --   A D A . N U M E R I C S . G E N E R I C _ C O M P L E X _ T Y P E S    --
   6 --                                                                          --
   7 --                                 S p e c                                  --
   8 --                                                                          --
   9 --          Copyright (C) 1992-2005, Free Software Foundation, Inc.         --
  10 --                                                                          --
  11 -- This specification is derived from the Ada Reference Manual for use with --
  12 -- GNAT. The copyright notice above, and the license provisions that follow --
  13 -- apply solely to the  contents of the part following the private keyword. --
  14 --                                                                          --
  15 -- GNAT is free software;  you can  redistribute it  and/or modify it under --
  16 -- terms of the  GNU General Public License as published  by the Free Soft- --
  17 -- ware  Foundation;  either version 2,  or (at your option) any later ver- --
  18 -- sion.  GNAT is distributed in the hope that it will be useful, but WITH- --
  19 -- OUT ANY WARRANTY;  without even the  implied warranty of MERCHANTABILITY --
  20 -- or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU General Public License --
  21 -- for  more details.  You should have  received  a copy of the GNU General --
  22 -- Public License  distributed with GNAT;  see file COPYING.  If not, write --
  23 -- to  the  Free Software Foundation,  51  Franklin  Street,  Fifth  Floor, --
  24 -- Boston, MA 02110-1301, USA.                                              --
  25 --                                                                          --
  26 -- As a special exception,  if other files  instantiate  generics from this --
  27 -- unit, or you link  this unit with other files  to produce an executable, --
  28 -- this  unit  does not  by itself cause  the resulting  executable  to  be --
  29 -- covered  by the  GNU  General  Public  License.  This exception does not --
  30 -- however invalidate  any other reasons why  the executable file  might be --
  31 -- covered by the  GNU Public License.                                      --
  32 --                                                                          --
  33 -- GNAT was originally developed  by the GNAT team at  New York University. --
  34 -- Extensive contributions were provided by Ada Core Technologies Inc.      --
  35 --                                                                          --
  36 ------------------------------------------------------------------------------
  37
  38 generic
  39    type Real is digits <>;
  40
  41 package Ada.Numerics.Generic_Complex_Types is
  42    pragma Pure;
  43
  44    type Complex is record
  45       Re, Im : Real'Base;
  46    end record;
  47
  48    pragma Complex_Representation (Complex);
  49
  50    type Imaginary is private;
  51
  52    i : constant Imaginary;
  53    j : constant Imaginary;
  54
  55    function Re (X : Complex)   return Real'Base;
  56    function Im (X : Complex)   return Real'Base;
  57    function Im (X : Imaginary) return Real'Base;
  58
  59    procedure Set_Re (X  : in out Complex;   Re : in Real'Base);
  60    procedure Set_Im (X  : in out Complex;   Im : in Real'Base);
  61    procedure Set_Im (X  :    out Imaginary; Im : in Real'Base);
  62
  63    function Compose_From_Cartesian (Re, Im : Real'Base) return Complex;
  64    function Compose_From_Cartesian (Re     : Real'Base) return Complex;
  65    function Compose_From_Cartesian (Im     : Imaginary) return Complex;
  66
  67    function Modulus (X     : Complex) return Real'Base;
  68    function "abs"   (Right : Complex) return Real'Base renames Modulus;
  69
  70    function Argument (X : Complex)                    return Real'Base;
  71    function Argument (X : Complex; Cycle : Real'Base) return Real'Base;
  72
  73    function Compose_From_Polar (
  74      Modulus, Argument : Real'Base)
  75      return Complex;
  76
  77    function Compose_From_Polar (
  78      Modulus, Argument, Cycle : Real'Base)
  79      return Complex;
  80
  81    function "+"       (Right : Complex) return Complex;
  82    function "-"       (Right : Complex) return Complex;
  83    function Conjugate (X     : Complex) return Complex;
  84
  85    function "+"       (Left, Right : Complex) return Complex;
  86    function "-"       (Left, Right : Complex) return Complex;
  87    function "*"       (Left, Right : Complex) return Complex;
  88    function "/"       (Left, Right : Complex) return Complex;
  89
  90    function "**"      (Left : Complex; Right : Integer) return Complex;
  91
  92    function "+"       (Right : Imaginary) return Imaginary;
  93    function "-"       (Right : Imaginary) return Imaginary;
  94    function Conjugate (X     : Imaginary) return Imaginary renames "-";
  95    function "abs"     (Right : Imaginary) return Real'Base;
  96
  97    function "+"       (Left, Right : Imaginary) return Imaginary;
  98    function "-"       (Left, Right : Imaginary) return Imaginary;
  99    function "*"       (Left, Right : Imaginary) return Real'Base;
 100    function "/"       (Left, Right : Imaginary) return Real'Base;
 101
 102    function "**"      (Left : Imaginary; Right : Integer) return Complex;
 103
 104    function "<"       (Left, Right : Imaginary) return Boolean;
 105    function "<="      (Left, Right : Imaginary) return Boolean;
 106    function ">"       (Left, Right : Imaginary) return Boolean;
 107    function ">="      (Left, Right : Imaginary) return Boolean;
 108
 109    function "+"       (Left : Complex;   Right : Real'Base) return Complex;
 110    function "+"       (Left : Real'Base; Right : Complex)   return Complex;
 111    function "-"       (Left : Complex;   Right : Real'Base) return Complex;
 112    function "-"       (Left : Real'Base; Right : Complex)   return Complex;
 113    function "*"       (Left : Complex;   Right : Real'Base) return Complex;
 114    function "*"       (Left : Real'Base; Right : Complex)   return Complex;
 115    function "/"       (Left : Complex;   Right : Real'Base) return Complex;
 116    function "/"       (Left : Real'Base; Right : Complex)   return Complex;
 117
 118    function "+"       (Left : Complex;   Right : Imaginary) return Complex;
 119    function "+"       (Left : Imaginary; Right : Complex)   return Complex;
 120    function "-"       (Left : Complex;   Right : Imaginary) return Complex;
 121    function "-"       (Left : Imaginary; Right : Complex)   return Complex;
 122    function "*"       (Left : Complex;   Right : Imaginary) return Complex;
 123    function "*"       (Left : Imaginary; Right : Complex)   return Complex;
 124    function "/"       (Left : Complex;   Right : Imaginary) return Complex;
 125    function "/"       (Left : Imaginary; Right : Complex)   return Complex;
 126
 127    function "+"       (Left : Imaginary; Right : Real'Base) return Complex;
 128    function "+"       (Left : Real'Base; Right : Imaginary) return Complex;
 129    function "-"       (Left : Imaginary; Right : Real'Base) return Complex;
 130    function "-"       (Left : Real'Base; Right : Imaginary) return Complex;
 131
 132    function "*"       (Left : Imaginary; Right : Real'Base) return Imaginary;
 133    function "*"       (Left : Real'Base; Right : Imaginary) return Imaginary;
 134    function "/"       (Left : Imaginary; Right : Real'Base) return Imaginary;
 135    function "/"       (Left : Real'Base; Right : Imaginary) return Imaginary;
 136
 137 private
 138    type Imaginary is new Real'Base;
 139
 140    i : constant Imaginary := 1.0;
 141    j : constant Imaginary := 1.0;
 142
 143    pragma Inline ("+");
 144    pragma Inline ("-");
 145    pragma Inline ("*");
 146    pragma Inline ("<");
 147    pragma Inline ("<=");
 148    pragma Inline (">");
 149    pragma Inline (">=");
 150    pragma Inline ("abs");
 151    pragma Inline (Compose_From_Cartesian);
 152    pragma Inline (Conjugate);
 153    pragma Inline (Im);
 154    pragma Inline (Re);
 155    pragma Inline (Set_Im);
 156    pragma Inline (Set_Re);
 157
 158 end Ada.Numerics.Generic_Complex_Types;