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-------------------------------------------------------------------------------
--- --
--- GNAT COMPILER COMPONENTS --
--- --
--- S Y S T E M . B I G N U M S --
--- --
--- S p e c --
--- --
--- Copyright (C) 2012, 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. --
--- --
-------------------------------------------------------------------------------
-
--- This package provides arbitrary precision signed integer arithmetic for
--- use in computing intermediate values in expressions for the case where
--- pragma Overflow_Check (Eliminated) is in effect.
-
-with Interfaces;
-
-package System.Bignums is
-
- pragma Assert (Long_Long_Integer'Size = 64);
- -- This package assumes that Long_Long_Integer size is 64 bit (i.e. that it
- -- has a range of -2**63 to 2**63-1). The front end ensures that the mode
- -- ELIMINATED is not allowed for overflow checking if this is not the case.
-
- subtype Length is Natural range 0 .. 2 ** 23 - 1;
- -- Represent number of words in Digit_Vector
-
- Base : constant := 2 ** 32;
- -- Digit vectors use this base
-
- subtype SD is Interfaces.Unsigned_32;
- -- Single length digit
-
- type Digit_Vector is array (Length range <>) of SD;
- -- Represent digits of a number (most significant digit first)
-
- type Bignum_Data (Len : Length) is record
- Neg : Boolean;
- -- Set if value is negative, never set for zero
-
- D : Digit_Vector (1 .. Len);
- -- Digits of number, most significant first, represented in base
- -- 2**Base. No leading zeroes are stored, and the value of zero is
- -- represented using an empty vector for D.
- end record;
-
- for Bignum_Data use record
- Len at 0 range 0 .. 23;
- Neg at 3 range 0 .. 7;
- end record;
-
- type Bignum is access all Bignum_Data;
- -- This is the type that is used externally. Possibly this could be a
- -- private type, but we leave the structure exposed for now. For one
- -- thing it helps with debugging. Note that this package never shares
- -- an allocated Bignum value, so for example for X + 0, a copy of X is
- -- returned, not X itself.
-
- -- Note: none of the subprograms in this package modify the Bignum_Data
- -- records referenced by Bignum arguments of mode IN.
-
- function Big_Add (X, Y : Bignum) return Bignum; -- "+"
- function Big_Sub (X, Y : Bignum) return Bignum; -- "-"
- function Big_Mul (X, Y : Bignum) return Bignum; -- "*"
- function Big_Div (X, Y : Bignum) return Bignum; -- "/"
- function Big_Exp (X, Y : Bignum) return Bignum; -- "**"
- function Big_Mod (X, Y : Bignum) return Bignum; -- "mod"
- function Big_Rem (X, Y : Bignum) return Bignum; -- "rem"
- function Big_Neg (X : Bignum) return Bignum; -- "-"
- function Big_Abs (X : Bignum) return Bignum; -- "abs"
- -- Perform indicated arithmetic operation on bignum values. No exception
- -- raised except for Div/Mod/Rem by 0 which raises Constraint_Error with
- -- an appropriate message.
-
- function Big_EQ (X, Y : Bignum) return Boolean; -- "="
- function Big_NE (X, Y : Bignum) return Boolean; -- "/="
- function Big_GE (X, Y : Bignum) return Boolean; -- ">="
- function Big_LE (X, Y : Bignum) return Boolean; -- "<="
- function Big_GT (X, Y : Bignum) return Boolean; -- ">"
- function Big_LT (X, Y : Bignum) return Boolean; -- "<"
- -- Perform indicated comparison on bignums, returning result as Boolean.
- -- No exception raised for any input arguments.
-
- function Bignum_In_LLI_Range (X : Bignum) return Boolean;
- -- Returns True if the Bignum value is in the range of Long_Long_Integer,
- -- so that a call to From_Bignum is guaranteed not to raise an exception.
-
- function To_Bignum (X : Long_Long_Integer) return Bignum;
- -- Convert Long_Long_Integer to Bignum. No exception can be raised for any
- -- input argument.
-
- function From_Bignum (X : Bignum) return Long_Long_Integer;
- -- Convert Bignum to Long_Long_Integer. Constraint_Error raised with
- -- appropriate message if value is out of range of Long_Long_Integer.
-
-end System.Bignums;