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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) 1992-2006, 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 ------------------------------------------------------------------------------
38 generic
39 type Real is digits <>;
41 package Ada.Numerics.Generic_Complex_Types is
42 pragma Pure;
44 type Complex is record
45 Re, Im : Real'Base;
46 end record;
48 pragma Complex_Representation (Complex);
50 type Imaginary is private;
52 i : constant Imaginary;
53 j : constant Imaginary;
55 function Re (X : Complex) return Real'Base;
56 function Im (X : Complex) return Real'Base;
57 function Im (X : Imaginary) return Real'Base;
59 procedure Set_Re (X : in out Complex; Re : Real'Base);
60 procedure Set_Im (X : in out Complex; Im : Real'Base);
61 procedure Set_Im (X : out Imaginary; Im : Real'Base);
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;
67 function Modulus (X : Complex) return Real'Base;
68 function "abs" (Right : Complex) return Real'Base renames Modulus;
70 function Argument (X : Complex) return Real'Base;
71 function Argument (X : Complex; Cycle : Real'Base) return Real'Base;
73 function Compose_From_Polar (
74 Modulus, Argument : Real'Base)
75 return Complex;
77 function Compose_From_Polar (
78 Modulus, Argument, Cycle : Real'Base)
79 return Complex;
81 function "+" (Right : Complex) return Complex;
82 function "-" (Right : Complex) return Complex;
83 function Conjugate (X : Complex) return Complex;
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;
90 function "**" (Left : Complex; Right : Integer) return Complex;
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;
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;
102 function "**" (Left : Imaginary; Right : Integer) return Complex;
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;
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;
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;
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;
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;
137 private
138 type Imaginary is new Real'Base;
140 i : constant Imaginary := 1.0;
141 j : constant Imaginary := 1.0;
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);
158 end Ada.Numerics.Generic_Complex_Types;