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) 1992-2009, 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 3, 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. -- 21-- -- 22-- As a special exception under Section 7 of GPL version 3, you are granted -- 23-- additional permissions described in the GCC Runtime Library Exception, -- 24-- version 3.1, as published by the Free Software Foundation. -- 25-- -- 26-- You should have received a copy of the GNU General Public License and -- 27-- a copy of the GCC Runtime Library Exception along with this program; -- 28-- see the files COPYING3 and COPYING.RUNTIME respectively. If not, see -- 29-- <http://www.gnu.org/licenses/>. -- 30-- -- 31-- GNAT was originally developed by the GNAT team at New York University. -- 32-- Extensive contributions were provided by Ada Core Technologies Inc. -- 33-- -- 34------------------------------------------------------------------------------ 35 36generic 37 type Real is digits <>; 38 39package Ada.Numerics.Generic_Complex_Types is 40 pragma Pure; 41 42 type Complex is record 43 Re, Im : Real'Base; 44 end record; 45 46 pragma Complex_Representation (Complex); 47 48 type Imaginary is private; 49 pragma Preelaborable_Initialization (Imaginary); 50 51 i : constant Imaginary; 52 j : constant Imaginary; 53 54 function Re (X : Complex) return Real'Base; 55 function Im (X : Complex) return Real'Base; 56 function Im (X : Imaginary) return Real'Base; 57 58 procedure Set_Re (X : in out Complex; Re : Real'Base); 59 procedure Set_Im (X : in out Complex; Im : Real'Base); 60 procedure Set_Im (X : out Imaginary; Im : Real'Base); 61 62 function Compose_From_Cartesian (Re, Im : Real'Base) return Complex; 63 function Compose_From_Cartesian (Re : Real'Base) return Complex; 64 function Compose_From_Cartesian (Im : Imaginary) return Complex; 65 66 function Modulus (X : Complex) return Real'Base; 67 function "abs" (Right : Complex) return Real'Base renames Modulus; 68 69 function Argument (X : Complex) return Real'Base; 70 function Argument (X : Complex; Cycle : Real'Base) return Real'Base; 71 72 function Compose_From_Polar ( 73 Modulus, Argument : Real'Base) 74 return Complex; 75 76 function Compose_From_Polar ( 77 Modulus, Argument, Cycle : Real'Base) 78 return Complex; 79 80 function "+" (Right : Complex) return Complex; 81 function "-" (Right : Complex) return Complex; 82 function Conjugate (X : Complex) return Complex; 83 84 function "+" (Left, Right : 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 89 function "**" (Left : Complex; Right : Integer) return Complex; 90 91 function "+" (Right : Imaginary) return Imaginary; 92 function "-" (Right : Imaginary) return Imaginary; 93 function Conjugate (X : Imaginary) return Imaginary renames "-"; 94 function "abs" (Right : Imaginary) return Real'Base; 95 96 function "+" (Left, Right : Imaginary) return Imaginary; 97 function "-" (Left, Right : Imaginary) return Imaginary; 98 function "*" (Left, Right : Imaginary) return Real'Base; 99 function "/" (Left, Right : Imaginary) return Real'Base; 100 101 function "**" (Left : Imaginary; Right : Integer) return Complex; 102 103 function "<" (Left, Right : Imaginary) return Boolean; 104 function "<=" (Left, Right : Imaginary) return Boolean; 105 function ">" (Left, Right : Imaginary) return Boolean; 106 function ">=" (Left, Right : Imaginary) return Boolean; 107 108 function "+" (Left : Complex; Right : Real'Base) return Complex; 109 function "+" (Left : Real'Base; Right : Complex) return Complex; 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; 116 117 function "+" (Left : Complex; Right : Imaginary) return Complex; 118 function "+" (Left : Imaginary; 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; 125 126 function "+" (Left : Imaginary; Right : Real'Base) return Complex; 127 function "+" (Left : Real'Base; Right : Imaginary) return Complex; 128 function "-" (Left : Imaginary; Right : Real'Base) return Complex; 129 function "-" (Left : Real'Base; Right : Imaginary) return Complex; 130 131 function "*" (Left : Imaginary; Right : Real'Base) return Imaginary; 132 function "*" (Left : Real'Base; Right : Imaginary) return Imaginary; 133 function "/" (Left : Imaginary; Right : Real'Base) return Imaginary; 134 function "/" (Left : Real'Base; Right : Imaginary) return Imaginary; 135 136private 137 type Imaginary is new Real'Base; 138 139 i : constant Imaginary := 1.0; 140 j : constant Imaginary := 1.0; 141 142 pragma Inline ("+"); 143 pragma Inline ("-"); 144 pragma Inline ("*"); 145 pragma Inline ("<"); 146 pragma Inline ("<="); 147 pragma Inline (">"); 148 pragma Inline (">="); 149 pragma Inline ("abs"); 150 pragma Inline (Compose_From_Cartesian); 151 pragma Inline (Conjugate); 152 pragma Inline (Im); 153 pragma Inline (Re); 154 pragma Inline (Set_Im); 155 pragma Inline (Set_Re); 156 157end Ada.Numerics.Generic_Complex_Types; 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