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+------------------------------------------------------------------------------
+-- --
+-- GNAT COMPILER COMPONENTS --
+-- --
+-- S Y S T E M . V A L U E _ D --
+-- --
+-- B o d y --
+-- --
+-- Copyright (C) 2020, 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 System.Unsigned_Types; use System.Unsigned_Types;
+with System.Val_Util; use System.Val_Util;
+with System.Value_R;
+
+package body System.Value_D is
+
+ package Impl is new Value_R (Uns, Floating => False);
+
+ function Integer_to_Decimal
+ (Str : String;
+ Val : Uns;
+ Base : Unsigned;
+ ScaleB : Integer;
+ Minus : Boolean;
+ Scale : Integer) return Int;
+ -- Convert the real value from integer to decimal representation
+
+ ------------------------
+ -- Integer_to_Decimal --
+ ------------------------
+
+ function Integer_to_Decimal
+ (Str : String;
+ Val : Uns;
+ Base : Unsigned;
+ ScaleB : Integer;
+ Minus : Boolean;
+ Scale : Integer) return Int
+ is
+ function Safe_Expont
+ (Base : Int;
+ Exp : in out Natural;
+ Factor : Int) return Int;
+ -- Return (Base ** Exp) * Factor if the computation does not overflow,
+ -- or else the number of the form (Base ** K) * Factor with the largest
+ -- magnitude if the former computation overflows. In both cases, Exp is
+ -- updated to contain the remaining power in the computation. Note that
+ -- Factor is expected to be positive in this context.
+
+ function Unsigned_To_Signed (Val : Uns) return Int;
+ -- Convert an integer value from unsigned to signed representation
+
+ -----------------
+ -- Safe_Expont --
+ -----------------
+
+ function Safe_Expont
+ (Base : Int;
+ Exp : in out Natural;
+ Factor : Int) return Int
+ is
+ pragma Assert (Base /= 0 and then Factor > 0);
+
+ Max : constant Int := Int'Last / Base;
+
+ Result : Int := Factor;
+
+ begin
+ while Exp > 0 and then Result <= Max loop
+ Result := Result * Base;
+ Exp := Exp - 1;
+ end loop;
+
+ return Result;
+ end Safe_Expont;
+
+ ------------------------
+ -- Unsigned_To_Signed --
+ ------------------------
+
+ function Unsigned_To_Signed (Val : Uns) return Int is
+ begin
+ -- Deal with overflow cases, and also with largest negative number
+
+ if Val > Uns (Int'Last) then
+ if Minus and then Val = Uns (-(Int'First)) then
+ return Int'First;
+ else
+ Bad_Value (Str);
+ end if;
+
+ -- Negative values
+
+ elsif Minus then
+ return -(Int (Val));
+
+ -- Positive values
+
+ else
+ return Int (Val);
+ end if;
+ end Unsigned_To_Signed;
+
+ begin
+ -- If the base of the value is 10 or its scaling factor is zero, then
+ -- add the scales (they are defined in the opposite sense) and apply
+ -- the result to the value, checking for overflow in the process.
+
+ if Base = 10 or else ScaleB = 0 then
+ declare
+ S : Integer := ScaleB + Scale;
+ V : Uns := Val;
+
+ begin
+ while S < 0 loop
+ V := V / 10;
+ S := S + 1;
+ end loop;
+
+ while S > 0 loop
+ if V <= Uns'Last / 10 then
+ V := V * 10;
+ S := S - 1;
+ else
+ Bad_Value (Str);
+ end if;
+ end loop;
+
+ return Unsigned_To_Signed (V);
+ end;
+
+ -- If the base of the value is not 10, use a scaled divide operation
+ -- to compute Val * (Base ** ScaleB) * (10 ** Scale).
+
+ else
+ declare
+ B : constant Int := Int (Base);
+ S : constant Integer := ScaleB;
+
+ V : Uns := Val;
+
+ Y, Z, Q, R : Int;
+
+ begin
+ -- If S is too negative, then drop trailing digits
+
+ if S < 0 then
+ declare
+ LS : Integer := -S;
+
+ begin
+ Y := 10 ** Integer'Max (0, Scale);
+ Z := Safe_Expont (B, LS, 10 ** Integer'Max (0, -Scale));
+
+ for J in 1 .. LS loop
+ V := V / Uns (B);
+ end loop;
+ end;
+
+ -- If S is too positive, then scale V up, which may then overflow
+
+ elsif S > 0 then
+ declare
+ LS : Integer := S;
+
+ begin
+ Y := Safe_Expont (B, LS, 10 ** Integer'Max (0, Scale));
+ Z := 10 ** Integer'Max (0, -Scale);
+
+ for J in 1 .. LS loop
+ if V <= Uns'Last / Uns (B) then
+ V := V * Uns (B);
+ else
+ Bad_Value (Str);
+ end if;
+ end loop;
+ end;
+
+ -- The case S equal to zero should have been handled earlier
+
+ else
+ raise Program_Error;
+ end if;
+
+ -- Perform a scale divide operation with rounding to match 'Image
+
+ Scaled_Divide (Unsigned_To_Signed (V), Y, Z, Q, R, Round => True);
+
+ return Q;
+ end;
+ end if;
+
+ exception
+ when Constraint_Error => Bad_Value (Str);
+ end Integer_to_Decimal;
+
+ ------------------
+ -- Scan_Decimal --
+ ------------------
+
+ function Scan_Decimal
+ (Str : String;
+ Ptr : not null access Integer;
+ Max : Integer;
+ Scale : Integer) return Int
+ is
+ Base : Unsigned;
+ ScaleB : Integer;
+ Extra : Unsigned;
+ Minus : Boolean;
+ Val : Uns;
+
+ begin
+ Val := Impl.Scan_Raw_Real (Str, Ptr, Max, Base, ScaleB, Extra, Minus);
+
+ return Integer_to_Decimal (Str, Val, Base, ScaleB, Minus, Scale);
+ end Scan_Decimal;
+
+ -------------------
+ -- Value_Decimal --
+ -------------------
+
+ function Value_Decimal (Str : String; Scale : Integer) return Int is
+ Base : Unsigned;
+ ScaleB : Integer;
+ Extra : Unsigned;
+ Minus : Boolean;
+ Val : Uns;
+
+ begin
+ Val := Impl.Value_Raw_Real (Str, Base, ScaleB, Extra, Minus);
+
+ return Integer_to_Decimal (Str, Val, Base, ScaleB, Minus, Scale);
+ end Value_Decimal;
+
+end System.Value_D;