158 lines
7.6 KiB
Ada
158 lines
7.6 KiB
Ada
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------------------------------------------------------------------------------
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-- --
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-- GNAT RUN-TIME COMPONENTS --
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-- --
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-- 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 --
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-- --
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-- S p e c --
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-- --
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-- Copyright (C) 1992-2009, Free Software Foundation, Inc. --
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-- --
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-- This specification is derived from the Ada Reference Manual for use with --
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-- GNAT. The copyright notice above, and the license provisions that follow --
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-- apply solely to the contents of the part following the private keyword. --
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-- --
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-- GNAT is free software; you can redistribute it and/or modify it under --
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-- terms of the GNU General Public License as published by the Free Soft- --
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-- ware Foundation; either version 3, or (at your option) any later ver- --
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-- sion. GNAT is distributed in the hope that it will be useful, but WITH- --
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-- OUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY --
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-- or FITNESS FOR A PARTICULAR PURPOSE. --
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-- --
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-- As a special exception under Section 7 of GPL version 3, you are granted --
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-- additional permissions described in the GCC Runtime Library Exception, --
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-- version 3.1, as published by the Free Software Foundation. --
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-- --
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-- You should have received a copy of the GNU General Public License and --
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-- a copy of the GCC Runtime Library Exception along with this program; --
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-- see the files COPYING3 and COPYING.RUNTIME respectively. If not, see --
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-- <http://www.gnu.org/licenses/>. --
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-- --
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-- GNAT was originally developed by the GNAT team at New York University. --
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-- Extensive contributions were provided by Ada Core Technologies Inc. --
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-- --
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------------------------------------------------------------------------------
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generic
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type Real is digits <>;
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package Ada.Numerics.Generic_Complex_Types is
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pragma Pure;
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type Complex is record
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Re, Im : Real'Base;
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end record;
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pragma Complex_Representation (Complex);
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type Imaginary is private;
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pragma Preelaborable_Initialization (Imaginary);
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i : constant Imaginary;
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j : constant Imaginary;
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function Re (X : Complex) return Real'Base;
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function Im (X : Complex) return Real'Base;
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function Im (X : Imaginary) return Real'Base;
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procedure Set_Re (X : in out Complex; Re : Real'Base);
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procedure Set_Im (X : in out Complex; Im : Real'Base);
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procedure Set_Im (X : out Imaginary; Im : Real'Base);
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function Compose_From_Cartesian (Re, Im : Real'Base) return Complex;
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function Compose_From_Cartesian (Re : Real'Base) return Complex;
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function Compose_From_Cartesian (Im : Imaginary) return Complex;
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function Modulus (X : Complex) return Real'Base;
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function "abs" (Right : Complex) return Real'Base renames Modulus;
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function Argument (X : Complex) return Real'Base;
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function Argument (X : Complex; Cycle : Real'Base) return Real'Base;
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function Compose_From_Polar (
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Modulus, Argument : Real'Base)
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return Complex;
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function Compose_From_Polar (
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Modulus, Argument, Cycle : Real'Base)
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return Complex;
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function "+" (Right : Complex) return Complex;
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function "-" (Right : Complex) return Complex;
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function Conjugate (X : Complex) return Complex;
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function "+" (Left, Right : Complex) return Complex;
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function "-" (Left, Right : Complex) return Complex;
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function "*" (Left, Right : Complex) return Complex;
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function "/" (Left, Right : Complex) return Complex;
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function "**" (Left : Complex; Right : Integer) return Complex;
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function "+" (Right : Imaginary) return Imaginary;
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function "-" (Right : Imaginary) return Imaginary;
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function Conjugate (X : Imaginary) return Imaginary renames "-";
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function "abs" (Right : Imaginary) return Real'Base;
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function "+" (Left, Right : Imaginary) return Imaginary;
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function "-" (Left, Right : Imaginary) return Imaginary;
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function "*" (Left, Right : Imaginary) return Real'Base;
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function "/" (Left, Right : Imaginary) return Real'Base;
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function "**" (Left : Imaginary; Right : Integer) return Complex;
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function "<" (Left, Right : Imaginary) return Boolean;
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function "<=" (Left, Right : Imaginary) return Boolean;
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function ">" (Left, Right : Imaginary) return Boolean;
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function ">=" (Left, Right : Imaginary) return Boolean;
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function "+" (Left : Complex; Right : Real'Base) return Complex;
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function "+" (Left : Real'Base; Right : Complex) return Complex;
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function "-" (Left : Complex; Right : Real'Base) return Complex;
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function "-" (Left : Real'Base; Right : Complex) return Complex;
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function "*" (Left : Complex; Right : Real'Base) return Complex;
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function "*" (Left : Real'Base; Right : Complex) return Complex;
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function "/" (Left : Complex; Right : Real'Base) return Complex;
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function "/" (Left : Real'Base; Right : Complex) return Complex;
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function "+" (Left : Complex; Right : Imaginary) return Complex;
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function "+" (Left : Imaginary; Right : Complex) return Complex;
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function "-" (Left : Complex; Right : Imaginary) return Complex;
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function "-" (Left : Imaginary; Right : Complex) return Complex;
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function "*" (Left : Complex; Right : Imaginary) return Complex;
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function "*" (Left : Imaginary; Right : Complex) return Complex;
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function "/" (Left : Complex; Right : Imaginary) return Complex;
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function "/" (Left : Imaginary; Right : Complex) return Complex;
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function "+" (Left : Imaginary; Right : Real'Base) return Complex;
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function "+" (Left : Real'Base; Right : Imaginary) return Complex;
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function "-" (Left : Imaginary; Right : Real'Base) return Complex;
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function "-" (Left : Real'Base; Right : Imaginary) return Complex;
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function "*" (Left : Imaginary; Right : Real'Base) return Imaginary;
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function "*" (Left : Real'Base; Right : Imaginary) return Imaginary;
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function "/" (Left : Imaginary; Right : Real'Base) return Imaginary;
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function "/" (Left : Real'Base; Right : Imaginary) return Imaginary;
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private
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type Imaginary is new Real'Base;
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i : constant Imaginary := 1.0;
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j : constant Imaginary := 1.0;
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pragma Inline ("+");
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pragma Inline ("-");
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pragma Inline ("*");
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pragma Inline ("<");
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pragma Inline ("<=");
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pragma Inline (">");
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pragma Inline (">=");
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pragma Inline ("abs");
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pragma Inline (Compose_From_Cartesian);
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pragma Inline (Conjugate);
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pragma Inline (Im);
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pragma Inline (Re);
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pragma Inline (Set_Im);
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pragma Inline (Set_Re);
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end Ada.Numerics.Generic_Complex_Types;
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