1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
|
------------------------------------------------------------------------------
-- --
-- GNAT RUN-TIME COMPONENTS --
-- --
-- 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 --
-- --
-- S p e c --
-- --
-- Copyright (C) 1992-2009, Free Software Foundation, Inc. --
-- --
-- This specification is derived from the Ada Reference Manual for use with --
-- GNAT. The copyright notice above, and the license provisions that follow --
-- apply solely to the contents of the part following the private keyword. --
-- --
-- GNAT is free software; you can redistribute it and/or modify it under --
-- terms of the GNU General Public License as published by the Free Soft- --
-- ware Foundation; either version 3, or (at your option) any later ver- --
-- sion. GNAT is distributed in the hope that it will be useful, but WITH- --
-- OUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY --
-- or FITNESS FOR A PARTICULAR PURPOSE. --
-- --
-- As a special exception under Section 7 of GPL version 3, you are granted --
-- additional permissions described in the GCC Runtime Library Exception, --
-- version 3.1, as published by the Free Software Foundation. --
-- --
-- You should have received a copy of the GNU General Public License and --
-- a copy of the GCC Runtime Library Exception along with this program; --
-- see the files COPYING3 and COPYING.RUNTIME respectively. If not, see --
-- <http://www.gnu.org/licenses/>. --
-- --
-- GNAT was originally developed by the GNAT team at New York University. --
-- Extensive contributions were provided by Ada Core Technologies Inc. --
-- --
------------------------------------------------------------------------------
generic
type Real is digits <>;
package Ada.Numerics.Generic_Complex_Types is
pragma Pure;
type Complex is record
Re, Im : Real'Base;
end record;
pragma Complex_Representation (Complex);
type Imaginary is private;
pragma Preelaborable_Initialization (Imaginary);
i : constant Imaginary;
j : constant Imaginary;
function Re (X : Complex) return Real'Base;
function Im (X : Complex) return Real'Base;
function Im (X : Imaginary) return Real'Base;
procedure Set_Re (X : in out Complex; Re : Real'Base);
procedure Set_Im (X : in out Complex; Im : Real'Base);
procedure Set_Im (X : out Imaginary; Im : Real'Base);
function Compose_From_Cartesian (Re, Im : Real'Base) return Complex;
function Compose_From_Cartesian (Re : Real'Base) return Complex;
function Compose_From_Cartesian (Im : Imaginary) return Complex;
function Modulus (X : Complex) return Real'Base;
function "abs" (Right : Complex) return Real'Base renames Modulus;
function Argument (X : Complex) return Real'Base;
function Argument (X : Complex; Cycle : Real'Base) return Real'Base;
function Compose_From_Polar (
Modulus, Argument : Real'Base)
return Complex;
function Compose_From_Polar (
Modulus, Argument, Cycle : Real'Base)
return Complex;
function "+" (Right : Complex) return Complex;
function "-" (Right : Complex) return Complex;
function Conjugate (X : Complex) return Complex;
function "+" (Left, Right : Complex) return Complex;
function "-" (Left, Right : Complex) return Complex;
function "*" (Left, Right : Complex) return Complex;
function "/" (Left, Right : Complex) return Complex;
function "**" (Left : Complex; Right : Integer) return Complex;
function "+" (Right : Imaginary) return Imaginary;
function "-" (Right : Imaginary) return Imaginary;
function Conjugate (X : Imaginary) return Imaginary renames "-";
function "abs" (Right : Imaginary) return Real'Base;
function "+" (Left, Right : Imaginary) return Imaginary;
function "-" (Left, Right : Imaginary) return Imaginary;
function "*" (Left, Right : Imaginary) return Real'Base;
function "/" (Left, Right : Imaginary) return Real'Base;
function "**" (Left : Imaginary; Right : Integer) return Complex;
function "<" (Left, Right : Imaginary) return Boolean;
function "<=" (Left, Right : Imaginary) return Boolean;
function ">" (Left, Right : Imaginary) return Boolean;
function ">=" (Left, Right : Imaginary) return Boolean;
function "+" (Left : Complex; Right : Real'Base) return Complex;
function "+" (Left : Real'Base; Right : Complex) return Complex;
function "-" (Left : Complex; Right : Real'Base) return Complex;
function "-" (Left : Real'Base; Right : Complex) return Complex;
function "*" (Left : Complex; Right : Real'Base) return Complex;
function "*" (Left : Real'Base; Right : Complex) return Complex;
function "/" (Left : Complex; Right : Real'Base) return Complex;
function "/" (Left : Real'Base; Right : Complex) return Complex;
function "+" (Left : Complex; Right : Imaginary) return Complex;
function "+" (Left : Imaginary; Right : Complex) return Complex;
function "-" (Left : Complex; Right : Imaginary) return Complex;
function "-" (Left : Imaginary; Right : Complex) return Complex;
function "*" (Left : Complex; Right : Imaginary) return Complex;
function "*" (Left : Imaginary; Right : Complex) return Complex;
function "/" (Left : Complex; Right : Imaginary) return Complex;
function "/" (Left : Imaginary; Right : Complex) return Complex;
function "+" (Left : Imaginary; Right : Real'Base) return Complex;
function "+" (Left : Real'Base; Right : Imaginary) return Complex;
function "-" (Left : Imaginary; Right : Real'Base) return Complex;
function "-" (Left : Real'Base; Right : Imaginary) return Complex;
function "*" (Left : Imaginary; Right : Real'Base) return Imaginary;
function "*" (Left : Real'Base; Right : Imaginary) return Imaginary;
function "/" (Left : Imaginary; Right : Real'Base) return Imaginary;
function "/" (Left : Real'Base; Right : Imaginary) return Imaginary;
private
type Imaginary is new Real'Base;
i : constant Imaginary := 1.0;
j : constant Imaginary := 1.0;
pragma Inline ("+");
pragma Inline ("-");
pragma Inline ("*");
pragma Inline ("<");
pragma Inline ("<=");
pragma Inline (">");
pragma Inline (">=");
pragma Inline ("abs");
pragma Inline (Compose_From_Cartesian);
pragma Inline (Conjugate);
pragma Inline (Im);
pragma Inline (Re);
pragma Inline (Set_Im);
pragma Inline (Set_Re);
end Ada.Numerics.Generic_Complex_Types;
|
