bignum

Most efficient implementation of a large number class

拜拜、爱过 提交于 2019-11-27 09:31:38
When doing calculations on very large numbers where integral data types such as double or int64 falls short, a separate class to handle such large numbers may be needed. Does anyone care to offer an efficient algorithm on how best to do this? There are 2 solutions to your problem: Easy way: Use an external library such as ' The GNU MP Bignum Library and forget about implementation details. Hard way: Design your own class/structure containing multiple higher order datatypes like double or int64 variables and define basic math operations for them using operator overloading (in C++) or via

Efficient Multiply/Divide of two 128-bit Integers on x86 (no 64-bit)

眉间皱痕 提交于 2019-11-27 09:06:55
Compiler: MinGW/GCC Issues: No GPL/LGPL code allowed (GMP or any bignum library for that matter, is overkill for this problem, as I already have the class implemented). I have constructed my own 128-bit fixed-size big integer class (intended for use in a game engine but may be generalized to any usage case) and I find the performance of the current multiply and divide operations to be quite abysmal (yes, I have timed them, see below), and I'd like to improve on (or change) the algorithms that do the low-level number crunching. When it comes to the multiply and divide operators, they are

Best bignum library to solve Project Euler problems in C++? [closed]

▼魔方 西西 提交于 2019-11-27 08:39:13
I am still a student, and I find project Euler very fun. sometimes the question requires calculations that are bigger than primitive types. I know you can implement it but I am too lazy to do this, So I tried few libraries, MAPM :: very good performance, but it provides only big floats, with the possibility to check if it is an integer. very good to accept input, but nasty to provide output, and compiles like magic with Visual C++ 2008 express. bigint :: a small one, but needs a re engineering in many parts. Very simple to use, but very limited power, and very slow compared to others. only big

How can I represent a very large integer in .NET?

扶醉桌前 提交于 2019-11-27 08:35:45
Does .NET come with a class capable of representing extremely large integers, such as 100 factorial? If not, what are some good third party libraries to accomplish this? Jason Olson .NET 4 has a BigInteger class Represents an arbitrarily large signed integer. The BigInteger type is an immutable type that represents an arbitrarily large integer whose value in theory has no upper or lower bounds. This type differs from the other integral types in the .NET Framework, which have a range indicated by their MinValue and MaxValue properties. .NET has a BigInteger class, but it is internal,

Large integers in javascript (more the 2^53-1)

雨燕双飞 提交于 2019-11-27 07:13:50
问题 What is general principals to operate with large integers in javascript? Like in libraries for bigint? How i do it by myself? 回答1: You may take a look at this implementation. You may also find other implementations useful. 回答2: Another option I've used in the past, is to hand off those operations to a calculation server via jsonp. If you're working with such large numbers, you likely want the improved performance and precision this can give you. 来源: https://stackoverflow.com/questions/3579153

Large numbers in Pascal (Delphi)

陌路散爱 提交于 2019-11-27 03:52:43
问题 Can I work with large numbers (more than 10^400) with built-in method in Delphi? 回答1: Not built-in, but you might want to check out MPArith for arbitrary precision maths. 回答2: There is also a Delphi BigInt library on SourceForge . I haven't tried it however, but include for completeness. 回答3: You could implement your own large number routines using Delphi's operator overloading. For example add, subtract, multiply and division. Intel has also added new instructions for multiply and possibly

What is the difference between Int and Integer?

风格不统一 提交于 2019-11-27 03:21:50
In Haskell, what is the difference between an Int and an Integer ? Where is the answer documented? "Integer" is an arbitrary precision type: it will hold any number no matter how big, up to the limit of your machine's memory…. This means you never have arithmetic overflows. On the other hand it also means your arithmetic is relatively slow. Lisp users may recognise the "bignum" type here. "Int" is the more common 32 or 64 bit integer. Implementations vary, although it is guaranteed to be at least 30 bits. Source: The Haskell Wikibook . Also, you may find the Numbers section of A Gentle

How to Code a Solution To Deal With Large Numbers?

こ雲淡風輕ζ 提交于 2019-11-27 02:13:48
问题 I'm doing some Project Euler problems and most of the time, the computations involve large numbers beyond int, float, double etc. Firstly, I know that I should be looking for more efficient ways of calculation so as to avoid the large number problem. I've heard of the Bignum libraries. But, for academics interests, I'd like to know how to code my own solution to this problem. Can any expert please help me out? (My language is C) 回答1: You need to store the big numbers in a base that your

What is the standard (or best supported) big number (arbitrary precision) library for Lua?

↘锁芯ラ 提交于 2019-11-27 01:27:35
I'm working with large numbers that I can't have rounded off. Using Lua's standard math library, there seem to be no convenient way to preserve precision past some internal limit. I also see there are several libraries that can be loaded to work with big numbers: http://oss.digirati.com.br/luabignum/ http://www.tc.umn.edu/~ringx004/mapm-main.html http://lua-users.org/lists/lua-l/2002-02/msg00312.html (might be identical to #2) http://www.gammon.com.au/scripts/doc.php?general=lua_bc (but I can't find any source) Further, there are many libraries in C that could be called from Lua, if the

How to add 2 arbitrarily sized integers in C++?

感情迁移 提交于 2019-11-26 19:05:43
I would like to add 2 arbitrarily sized integers in C++. How can I go about doing this? Here's an example showing how to use the OpenSSL bignum implementation for arbitrary-precision arithmetic. My example does 2 64 + 2 65 . I'm using Linux. #include <cstdio> #include <openssl/crypto.h> #include <openssl/bn.h> int main(int argc, char *argv[]) { static const char num1[] = "18446744073709551616"; static const char num2[] = "36893488147419103232"; BIGNUM *bn1 = NULL; BIGNUM *bn2 = NULL; BN_CTX *ctx = BN_CTX_new(); BN_dec2bn(&bn1, num1); // convert the string to BIGNUM BN_dec2bn(&bn2, num2); BN