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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;
51 pragma Preelaborable_Initialization (Imaginary);
53 i : constant Imaginary;
54 j : constant Imaginary;
56 function Re (X : Complex) return Real'Base;
57 function Im (X : Complex) return Real'Base;
58 function Im (X : Imaginary) return Real'Base;
60 procedure Set_Re (X : in out Complex; Re : Real'Base);
61 procedure Set_Im (X : in out Complex; Im : Real'Base);
62 procedure Set_Im (X : out Imaginary; Im : Real'Base);
64 function Compose_From_Cartesian (Re, Im : Real'Base) return Complex;
65 function Compose_From_Cartesian (Re : Real'Base) return Complex;
66 function Compose_From_Cartesian (Im : Imaginary) return Complex;
68 function Modulus (X : Complex) return Real'Base;
69 function "abs" (Right : Complex) return Real'Base renames Modulus;
71 function Argument (X : Complex) return Real'Base;
72 function Argument (X : Complex; Cycle : Real'Base) return Real'Base;
74 function Compose_From_Polar (
75 Modulus, Argument : Real'Base)
76 return Complex;
78 function Compose_From_Polar (
79 Modulus, Argument, Cycle : Real'Base)
80 return Complex;
82 function "+" (Right : Complex) return Complex;
83 function "-" (Right : Complex) return Complex;
84 function Conjugate (X : 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 function "/" (Left, Right : Complex) return Complex;
91 function "**" (Left : Complex; Right : Integer) return Complex;
93 function "+" (Right : Imaginary) return Imaginary;
94 function "-" (Right : Imaginary) return Imaginary;
95 function Conjugate (X : Imaginary) return Imaginary renames "-";
96 function "abs" (Right : Imaginary) return Real'Base;
98 function "+" (Left, Right : Imaginary) return Imaginary;
99 function "-" (Left, Right : Imaginary) return Imaginary;
100 function "*" (Left, Right : Imaginary) return Real'Base;
101 function "/" (Left, Right : Imaginary) return Real'Base;
103 function "**" (Left : Imaginary; Right : Integer) return Complex;
105 function "<" (Left, Right : Imaginary) return Boolean;
106 function "<=" (Left, Right : Imaginary) return Boolean;
107 function ">" (Left, Right : Imaginary) return Boolean;
108 function ">=" (Left, Right : Imaginary) return Boolean;
110 function "+" (Left : Complex; Right : Real'Base) return Complex;
111 function "+" (Left : Real'Base; Right : Complex) return Complex;
112 function "-" (Left : Complex; Right : Real'Base) return Complex;
113 function "-" (Left : Real'Base; Right : Complex) return Complex;
114 function "*" (Left : Complex; Right : Real'Base) return Complex;
115 function "*" (Left : Real'Base; Right : Complex) return Complex;
116 function "/" (Left : Complex; Right : Real'Base) return Complex;
117 function "/" (Left : Real'Base; Right : Complex) return Complex;
119 function "+" (Left : Complex; Right : Imaginary) return Complex;
120 function "+" (Left : Imaginary; Right : Complex) return Complex;
121 function "-" (Left : Complex; Right : Imaginary) return Complex;
122 function "-" (Left : Imaginary; Right : Complex) return Complex;
123 function "*" (Left : Complex; Right : Imaginary) return Complex;
124 function "*" (Left : Imaginary; Right : Complex) return Complex;
125 function "/" (Left : Complex; Right : Imaginary) return Complex;
126 function "/" (Left : Imaginary; Right : Complex) return Complex;
128 function "+" (Left : Imaginary; Right : Real'Base) return Complex;
129 function "+" (Left : Real'Base; Right : Imaginary) return Complex;
130 function "-" (Left : Imaginary; Right : Real'Base) return Complex;
131 function "-" (Left : Real'Base; Right : Imaginary) return Complex;
133 function "*" (Left : Imaginary; Right : Real'Base) return Imaginary;
134 function "*" (Left : Real'Base; Right : Imaginary) return Imaginary;
135 function "/" (Left : Imaginary; Right : Real'Base) return Imaginary;
136 function "/" (Left : Real'Base; Right : Imaginary) return Imaginary;
138 private
139 type Imaginary is new Real'Base;
141 i : constant Imaginary := 1.0;
142 j : constant Imaginary := 1.0;
144 pragma Inline ("+");
145 pragma Inline ("-");
146 pragma Inline ("*");
147 pragma Inline ("<");
148 pragma Inline ("<=");
149 pragma Inline (">");
150 pragma Inline (">=");
151 pragma Inline ("abs");
152 pragma Inline (Compose_From_Cartesian);
153 pragma Inline (Conjugate);
154 pragma Inline (Im);
155 pragma Inline (Re);
156 pragma Inline (Set_Im);
157 pragma Inline (Set_Re);
159 end Ada.Numerics.Generic_Complex_Types;