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// ==============================================================
//
//  Copyright (C) 1995  William A. Rossi
//                      class RossiBigInt
// 
//  Copyright (C) 1999-2019  Alex Vinokur
//                           class BigInt 
//                           class BigInt::BaseBigInt 
//                           class BigInt::Vin
//                           upgrading class BigInt::Rossi
//                           class BigInt::Run
//                           class BigInt::Test
//                           class BigInt::TestVin
//                           class BigInt::TestRossi
//			     class BigInt::PerformanceTestVin
//                           class BigInt::PerformanceTestRossi
//
//  ------------------------------------------------------------
// This program is free software; you can redistribute it and/or
// modify it under the terms of the GNU General Public License
// as published by the Free Software Foundation; either version 2
// of the License, or (at your option) any later version.
// 
// This program is distributed in the hope that it will be useful,
// but WITHOUT ANY WARRANTY; without even the implied warranty of
// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
// GNU General Public License for more details.
// 
// You should have received a copy of the GNU General Public License
// along with this program; if not, write to the Free Software
// Foundation, Inc., 59 Temple Place - Suite 330, Boston, MA  02111-1307, USA.
//  ------------------------------------------------------------
// 
//  mailto:alex DOT vinokur AT gmail DOT com
//  http://sourceforge.net/users/alexvn/
//
// ==============================================================


                             C++ BigInt Class
                             ---------------
                             Latest Version: 10.3.

C++ BigInt class enables the user to work with arbitrary precision integers.

BigInt is represented by STL vector of Unit's, where Unit is unsigned integer of 64-bits (default) or 32-bits - for both 64-bits and 32-bits Operating Systems.

C++ BigInt class contains also computing and performance tests.


=================================== Software Files ==================================

-------------------------------------------------------------------------------------
* bigInt.h
* bigInt.cpp
* main.cpp

-------------------------------------------------------------------------------------


==================================== Compilation ====================================

Compilation samples (for g++)

-------------------------------------------------------------------------------------
// Unit - 64 bits   (Default)
// Use of try-catch (Default)
g++ bigInt.cpp main.cpp

------------------------------
// Unit - 32 bits
// Use of try-catch (Default)
g++ -DUNIT32 bigInt.cpp main.cpp

------------------------------
// Unit - 64 bits            (Default)
// Limited use of try-catch 
g++ -DNO_TRY_CATCH bigInt.cpp main.cpp

------------------------------
// Unit - 32 bits
// Limited use of try-catch 
g++ -DUNIT32 -DNO_TRY_CATCH bigInt.cpp main.cpp

-------------------------------------------------------------------------------------



======================================= Usage =======================================

-------------------------------------------------------------------------------------
USAGE : 
      : <exeFileName>        // help
      : <exeFileName> help   // help
      : <exeFileName> demo   // demo
      : <exeFileName> test   // computing tests
      : <exeFileName> time   // performance tests
      : <exeFileName> <first-arg-in-decimal> <binary-operation> <second-arg-in-decimal>  // bigint's calculator


USAGE SAMPLE: 
      : ./bigint.exe
      : ./bigint.exe help
      : ./bigint.exe demo
      : ./bigint.exe test
      : ./bigint.exe time
      : ./bigint.exe 1123581321345589 + 123456789


-------------------------------------------------------------------------------------



==================================== Simple Demo ====================================

-------------------------------------- Program --------------------------------------

#include "bigInt.h"
void simpleDemoBigInt ()
{
	
	#define SHOW_BIG_INT(x) std::cout << #x << " : Hex Value = " << x.toStr0xHex() << ", Hex Digits = " << x.getActualHexDigits() << "; Dec Value = " << x.toStrDec() << ", Dec Digits = " << x.getActualDecDigits() << std::endl << std::endl
#define SHOW_DOUBLE(x) std::cout << #x << " : " << std::fixed << x << std::endl << std::endl

	BigInt::Rossi n1 ("314159265358979323846264338327950288419716939937510", BigInt::DEC_DIGIT);
	SHOW_BIG_INT(n1);

	BigInt::Rossi n2 ("224f3e07282886cce82404b6f8", BigInt::HEX_DIGIT);
	SHOW_BIG_INT(n2);

	BigInt::Rossi n3 (1123);
	SHOW_BIG_INT(n3);

	BigInt::Rossi n4 = n1 + n2;
	SHOW_BIG_INT(n4);

	BigInt::Rossi n5 = n1 * n3;
	SHOW_BIG_INT(n5);

	BigInt::Rossi n6 = n2 / n3;
	SHOW_BIG_INT(n6);

	BigInt::Rossi n7 = n1.sqrt();
	SHOW_BIG_INT(n7);

	BigInt::Rossi n8 = BigInt::Rossi::pow (n1, n3);
	SHOW_BIG_INT(n8);

	long double d1 = n1.toDouble();
	SHOW_DOUBLE(d1);

	long double d2 = 1123581321345589144233.0;
	SHOW_DOUBLE(d2);

	BigInt::Rossi n9 = BigInt::Rossi::fromDouble(d2);
	SHOW_BIG_INT(n9);

#undef SHOW_BIG_INT
#undef SHOW_DOUBLE

	
}



--------------------------------------- Output --------------------------------------

n1 : Hex Value = 0xd6f4dcacdbe68004d7666a4d01dfa3321e33e476e6, Hex Digits = 42; Dec Value = 314159265358979323846264338327950288419716939937510, Dec Digits = 51

n2 : Hex Value = 0x224f3e07282886cce82404b6f8, Hex Digits = 26; Dec Value = 2718281828459045235360287471352, Dec Digits = 31

n3 : Hex Value = 0x463, Hex Digits = 3; Dec Value = 1123, Dec Digits = 4

n4 : Hex Value = 0xd6f4dcacdbe68004f9b5a8542a0829ff0657e92dde, Hex Digits = 42; Dec Value = 314159265358979323848982620156409333655077227408862, Dec Digits = 51

n5 : Hex Value = 0x3aef4240a48a423953ce6444fcf3808e4da7da33592f2, Hex Digits = 45; Dec Value = 352800854998133780679354851942288173895342123549823730, Dec Digits = 54

n6 : Hex Value = 0x7d23c3022afa65dabafc311, Hex Digits = 23; Dec Value = 2420553720800574563989570321, Dec Digits = 28

n7 : Hex Value = 0xea951286b8be7b4ce8eaa, Hex Digits = 21; Dec Value = 17724538509055160272981674, Dec Digits = 26

n8 : Hex Value = 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Hex Digits = 47096; Dec Value = 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Dec Digits = 56709

d1 : 314159265358979323849480997010239689209316400000000.000000

d2 : 1123581321345589182464.000000

n9 : Hex Value = 0x3ce8d2bac65bde0000, Hex Digits = 18; Dec Value = 1123581321345589182464, Dec Digits = 22
Source: readMe.txt, updated 2019-03-06