| ------------------------------------------------------------------------------ |
| -- -- |
| -- GNAT COMPILER COMPONENTS -- |
| -- -- |
| -- S Y S T E M . G E N E R I C _ B I G N U M S -- |
| -- -- |
| -- S p e c -- |
| -- -- |
| -- Copyright (C) 2012-2022, 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 |
| -- and can be used either built into the compiler via System.Bignums or to |
| -- implement a default version of Ada.Numerics.Big_Numbers.Big_Integers. |
| |
| with Interfaces; |
| with System.Shared_Bignums; |
| |
| generic |
| type Big_Integer is private; |
| |
| with function Allocate_Big_Integer |
| (D : Shared_Bignums.Digit_Vector; Neg : Boolean) return Big_Integer; |
| -- Allocate Bignum value with the given contents |
| |
| with procedure Free_Big_Integer (X : in out Big_Integer); |
| -- Free the memory associated with X |
| |
| with function To_Bignum |
| (X : aliased in out Big_Integer) return Shared_Bignums.Bignum; |
| -- Convert the given Big_Integer to a Bignum |
| |
| package System.Generic_Bignums is |
| pragma Preelaborate; |
| |
| subtype Bignum is Shared_Bignums.Bignum; |
| |
| -- Note that this package never shares an allocated Big_Integer value, so |
| -- 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 Big_Integer; -- "+" |
| function Big_Sub (X, Y : Bignum) return Big_Integer; -- "-" |
| function Big_Mul (X, Y : Bignum) return Big_Integer; -- "*" |
| function Big_Div (X, Y : Bignum) return Big_Integer; -- "/" |
| function Big_Exp (X, Y : Bignum) return Big_Integer; -- "**" |
| function Big_Mod (X, Y : Bignum) return Big_Integer; -- "mod" |
| function Big_Rem (X, Y : Bignum) return Big_Integer; -- "rem" |
| function Big_Neg (X : Bignum) return Big_Integer; -- "-" |
| function Big_Abs (X : Bignum) return Big_Integer; -- "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_And (X, Y : Bignum) return Big_Integer; -- "and" |
| function Big_Or (X, Y : Bignum) return Big_Integer; -- "or" |
| -- Perform indicated bitwise operation on big num values. |
| -- The negative flags of X and Y are also combined. |
| |
| function Big_Shift_Left (X : Bignum; Amount : Natural) return Big_Integer; |
| function Big_Shift_Right (X : Bignum; Amount : Natural) return Big_Integer; |
| -- Perform indicated bitwise operation on big num values. |
| -- Constraint_Error is raised if X is negative. |
| |
| 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 Big_Integer; |
| -- Convert Long_Long_Integer to a big integer. No exception can be raised |
| -- for any input argument. |
| |
| function To_Bignum (X : Long_Long_Long_Integer) return Big_Integer; |
| -- Convert Long_Long_Long_Integer to a big integer. No exception can be |
| -- raised. |
| |
| function To_Bignum (X : Interfaces.Unsigned_64) return Big_Integer; |
| -- Convert Unsigned_64 to a big integer. No exception can be raised for any |
| -- input argument. |
| |
| function To_Bignum (X : Interfaces.Unsigned_128) return Big_Integer; |
| -- Convert Unsigned_128 to a big integer. 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. |
| |
| function To_String |
| (X : Bignum; Width : Natural := 0; Base : Positive := 10) |
| return String; |
| -- Return the image of X, based on the given Width and Base, as defined |
| -- in the RM for Ada.Text_IO. Base should really be in the range 2 .. 16. |
| |
| function Is_Zero (X : Bignum) return Boolean; |
| -- Return True if X = 0 |
| |
| end System.Generic_Bignums; |