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+------------------------------------------------------------------------------
+-- --
+-- GNAT RUN-TIME COMPONENTS --
+-- --
+-- G N A T . R A N D O M _ N U M B E R S --
+-- --
+-- B o d y --
+-- --
+-- Copyright (C) 2007-2013, Free Software Foundation, Inc. --
+-- --
+-- 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. --
+-- --
+------------------------------------------------------------------------------
+
+with Ada.Numerics.Long_Elementary_Functions;
+use Ada.Numerics.Long_Elementary_Functions;
+with Ada.Unchecked_Conversion;
+
+with System.Random_Numbers; use System.Random_Numbers;
+
+package body GNAT.Random_Numbers is
+
+ Sys_Max_Image_Width : constant := System.Random_Numbers.Max_Image_Width;
+
+ subtype Image_String is String (1 .. Max_Image_Width);
+
+ -- Utility function declarations
+
+ procedure Insert_Image
+ (S : in out Image_String;
+ Index : Integer;
+ V : Integer_64);
+ -- Insert string representation of V in S starting at position Index
+
+ ---------------
+ -- To_Signed --
+ ---------------
+
+ function To_Signed is
+ new Ada.Unchecked_Conversion (Unsigned_32, Integer_32);
+ function To_Signed is
+ new Ada.Unchecked_Conversion (Unsigned_64, Integer_64);
+
+ ------------------
+ -- Insert_Image --
+ ------------------
+
+ procedure Insert_Image
+ (S : in out Image_String;
+ Index : Integer;
+ V : Integer_64)
+ is
+ Image : constant String := Integer_64'Image (V);
+ begin
+ S (Index .. Index + Image'Length - 1) := Image;
+ end Insert_Image;
+
+ ---------------------
+ -- Random_Discrete --
+ ---------------------
+
+ function Random_Discrete
+ (Gen : Generator;
+ Min : Result_Subtype := Default_Min;
+ Max : Result_Subtype := Result_Subtype'Last) return Result_Subtype
+ is
+ function F is
+ new System.Random_Numbers.Random_Discrete
+ (Result_Subtype, Default_Min);
+ begin
+ return F (Gen.Rep, Min, Max);
+ end Random_Discrete;
+
+ --------------------------
+ -- Random_Decimal_Fixed --
+ --------------------------
+
+ function Random_Decimal_Fixed
+ (Gen : Generator;
+ Min : Result_Subtype := Default_Min;
+ Max : Result_Subtype := Result_Subtype'Last) return Result_Subtype
+ is
+ subtype IntV is Integer_64 range
+ Integer_64'Integer_Value (Min) ..
+ Integer_64'Integer_Value (Max);
+ function R is new Random_Discrete (Integer_64, IntV'First);
+ begin
+ return Result_Subtype'Fixed_Value (R (Gen, IntV'First, IntV'Last));
+ end Random_Decimal_Fixed;
+
+ ---------------------------
+ -- Random_Ordinary_Fixed --
+ ---------------------------
+
+ function Random_Ordinary_Fixed
+ (Gen : Generator;
+ Min : Result_Subtype := Default_Min;
+ Max : Result_Subtype := Result_Subtype'Last) return Result_Subtype
+ is
+ subtype IntV is Integer_64 range
+ Integer_64'Integer_Value (Min) ..
+ Integer_64'Integer_Value (Max);
+ function R is new Random_Discrete (Integer_64, IntV'First);
+ begin
+ return Result_Subtype'Fixed_Value (R (Gen, IntV'First, IntV'Last));
+ end Random_Ordinary_Fixed;
+
+ ------------
+ -- Random --
+ ------------
+
+ function Random (Gen : Generator) return Float is
+ begin
+ return Random (Gen.Rep);
+ end Random;
+
+ function Random (Gen : Generator) return Long_Float is
+ begin
+ return Random (Gen.Rep);
+ end Random;
+
+ function Random (Gen : Generator) return Interfaces.Unsigned_32 is
+ begin
+ return Random (Gen.Rep);
+ end Random;
+
+ function Random (Gen : Generator) return Interfaces.Unsigned_64 is
+ begin
+ return Random (Gen.Rep);
+ end Random;
+
+ function Random (Gen : Generator) return Integer_64 is
+ begin
+ return To_Signed (Unsigned_64'(Random (Gen)));
+ end Random;
+
+ function Random (Gen : Generator) return Integer_32 is
+ begin
+ return To_Signed (Unsigned_32'(Random (Gen)));
+ end Random;
+
+ function Random (Gen : Generator) return Long_Integer is
+ function Random_Long_Integer is new Random_Discrete (Long_Integer);
+ begin
+ return Random_Long_Integer (Gen);
+ end Random;
+
+ function Random (Gen : Generator) return Integer is
+ function Random_Integer is new Random_Discrete (Integer);
+ begin
+ return Random_Integer (Gen);
+ end Random;
+
+ ------------------
+ -- Random_Float --
+ ------------------
+
+ function Random_Float (Gen : Generator) return Result_Subtype is
+ function F is new System.Random_Numbers.Random_Float (Result_Subtype);
+ begin
+ return F (Gen.Rep);
+ end Random_Float;
+
+ ---------------------
+ -- Random_Gaussian --
+ ---------------------
+
+ -- Generates pairs of normally distributed values using the polar method of
+ -- G. E. P. Box, M. E. Muller, and G. Marsaglia. See Donald E. Knuth, The
+ -- Art of Computer Programming, Vol 2: Seminumerical Algorithms, section
+ -- 3.4.1, subsection C, algorithm P. Returns half of the pair on each call,
+ -- using the Next_Gaussian field of Gen to hold the second member on
+ -- even-numbered calls.
+
+ function Random_Gaussian (Gen : Generator) return Long_Float is
+ G : Generator renames Gen'Unrestricted_Access.all;
+
+ V1, V2, Rad2, Mult : Long_Float;
+
+ begin
+ if G.Have_Gaussian then
+ G.Have_Gaussian := False;
+ return G.Next_Gaussian;
+
+ else
+ loop
+ V1 := 2.0 * Random (G) - 1.0;
+ V2 := 2.0 * Random (G) - 1.0;
+ Rad2 := V1 ** 2 + V2 ** 2;
+ exit when Rad2 < 1.0 and then Rad2 /= 0.0;
+ end loop;
+
+ -- Now V1 and V2 are coordinates in the unit circle
+
+ Mult := Sqrt (-2.0 * Log (Rad2) / Rad2);
+ G.Next_Gaussian := V2 * Mult;
+ G.Have_Gaussian := True;
+ return Long_Float'Machine (V1 * Mult);
+ end if;
+ end Random_Gaussian;
+
+ function Random_Gaussian (Gen : Generator) return Float is
+ V : constant Long_Float := Random_Gaussian (Gen);
+ begin
+ return Float'Machine (Float (V));
+ end Random_Gaussian;
+
+ -----------
+ -- Reset --
+ -----------
+
+ procedure Reset (Gen : out Generator) is
+ begin
+ Reset (Gen.Rep);
+ Gen.Have_Gaussian := False;
+ end Reset;
+
+ procedure Reset
+ (Gen : out Generator;
+ Initiator : Initialization_Vector)
+ is
+ begin
+ Reset (Gen.Rep, Initiator);
+ Gen.Have_Gaussian := False;
+ end Reset;
+
+ procedure Reset
+ (Gen : out Generator;
+ Initiator : Interfaces.Integer_32)
+ is
+ begin
+ Reset (Gen.Rep, Initiator);
+ Gen.Have_Gaussian := False;
+ end Reset;
+
+ procedure Reset
+ (Gen : out Generator;
+ Initiator : Interfaces.Unsigned_32)
+ is
+ begin
+ Reset (Gen.Rep, Initiator);
+ Gen.Have_Gaussian := False;
+ end Reset;
+
+ procedure Reset
+ (Gen : out Generator;
+ Initiator : Integer)
+ is
+ begin
+ Reset (Gen.Rep, Initiator);
+ Gen.Have_Gaussian := False;
+ end Reset;
+
+ procedure Reset
+ (Gen : out Generator;
+ From_State : Generator)
+ is
+ begin
+ Reset (Gen.Rep, From_State.Rep);
+ Gen.Have_Gaussian := From_State.Have_Gaussian;
+ Gen.Next_Gaussian := From_State.Next_Gaussian;
+ end Reset;
+
+ Frac_Scale : constant Long_Float :=
+ Long_Float
+ (Long_Float'Machine_Radix) ** Long_Float'Machine_Mantissa;
+
+ function Val64 (Image : String) return Integer_64;
+ -- Renames Integer64'Value
+ -- We cannot use a 'renames Integer64'Value' since for some strange
+ -- reason, this requires a dependency on s-auxdec.ads which not all
+ -- run-times support ???
+
+ function Val64 (Image : String) return Integer_64 is
+ begin
+ return Integer_64'Value (Image);
+ end Val64;
+
+ procedure Reset
+ (Gen : out Generator;
+ From_Image : String)
+ is
+ F0 : constant Integer := From_Image'First;
+ T0 : constant Integer := From_Image'First + Sys_Max_Image_Width;
+
+ begin
+ Reset (Gen.Rep, From_Image (F0 .. F0 + Sys_Max_Image_Width));
+
+ if From_Image (T0 + 1) = '1' then
+ Gen.Have_Gaussian := True;
+ Gen.Next_Gaussian :=
+ Long_Float (Val64 (From_Image (T0 + 3 .. T0 + 23))) / Frac_Scale
+ * Long_Float (Long_Float'Machine_Radix)
+ ** Integer (Val64 (From_Image (T0 + 25 .. From_Image'Last)));
+ else
+ Gen.Have_Gaussian := False;
+ end if;
+ end Reset;
+
+ -----------
+ -- Image --
+ -----------
+
+ function Image (Gen : Generator) return String is
+ Result : Image_String;
+
+ begin
+ Result := (others => ' ');
+ Result (1 .. Sys_Max_Image_Width) := Image (Gen.Rep);
+
+ if Gen.Have_Gaussian then
+ Result (Sys_Max_Image_Width + 2) := '1';
+ Insert_Image (Result, Sys_Max_Image_Width + 4,
+ Integer_64 (Long_Float'Fraction (Gen.Next_Gaussian)
+ * Frac_Scale));
+ Insert_Image (Result, Sys_Max_Image_Width + 24,
+ Integer_64 (Long_Float'Exponent (Gen.Next_Gaussian)));
+
+ else
+ Result (Sys_Max_Image_Width + 2) := '0';
+ end if;
+
+ return Result;
+ end Image;
+
+end GNAT.Random_Numbers;