This article's use of external links may not follow Wikipedia's policies or guidelines. (September 2022) |
This article lists libraries, applications, and other software which enable or support arbitrary-precision arithmetic.
Libraries
editStand-alone application software
editSoftware that supports arbitrary precision computations:
- bc the POSIX arbitrary-precision arithmetic language that comes standard on most Unix-like systems.
- KCalc, Linux based scientific calculator
- Maxima: a computer algebra system which bignum integers are directly inherited from its implementation language Common Lisp. In addition, it supports arbitrary-precision floating-point numbers, bigfloats.
- Maple, Mathematica, and several other computer algebra software include arbitrary-precision arithmetic. Mathematica employs GMP for approximate number computation.
- PARI/GP, an open source computer algebra system that supports arbitrary precision.
- Qalculate!, an open-source free software arbitrary precision calculator with autocomplete.
- SageMath, an open-source computer algebra system
- SymPy, a CAS
- Symbolic Math toolbox (MATLAB)
- Windows Calculator, since Windows 98, uses arbitrary precision for basic operations (addition, subtraction, multiplication, division) and 32 digits of precision for advanced operations (square root, transcendental functions).
- SmartXML, a free programming language with integrated development environment (IDE) for mathematical calculations. Variables of BigNumber type can be used, or regular numbers can be converted to big numbers using conversion operator # (e.g., #2.3^2000.1). SmartXML big numbers can have up to 100,000,000 decimal digits and up to 100,000,000 whole digits.
Languages
editProgramming languages that support arbitrary precision computations, either built-in, or in the standard library of the language:
- Ada: the upcoming Ada 202x revision adds the
Ada.Numerics.Big_Numbers.Big_Integers
andAda.Numerics.Big_Numbers.Big_Reals
packages to the standard library, providing arbitrary precision integers and real numbers. - Agda: the
BigInt
datatype on Epic backend implements arbitrary-precision arithmetic. - Common Lisp: The ANSI Common Lisp standard supports arbitrary precision integer, ratio, and complex numbers.
- C#:
System.Numerics.BigInteger
, from .NET 5 - ColdFusion: the built-in
PrecisionEvaluate()
function evaluates one or more string expressions, dynamically, from left to right, using BigDecimal precision arithmetic to calculate the values of arbitrary precision arithmetic expressions. - D: standard library module
std.bigint
- Dart: the built-in
int
datatype implements arbitrary-precision arithmetic. - Emacs Lisp: supports integers of arbitrary size, starting with Emacs 27.1.
- Erlang: the built-in
Integer
datatype implements arbitrary-precision arithmetic. - Go: the standard library package
math/big
implements arbitrary-precision integers (Int
type), rational numbers (Rat
type), and floating-point numbers (Float
type) - Guile: the built-in
exact
numbers are of arbitrary precision. Example:(expt 10 100)
produces the expected (large) result. Exact numbers also include rationals, so(/ 3 4)
produces3/4
. One of the languages implemented in Guile is Scheme. - Haskell: the built-in
Integer
datatype implements arbitrary-precision arithmetic and the standardData.Ratio
module implements rational numbers. - Idris: the built-in
Integer
datatype implements arbitrary-precision arithmetic. - ISLISP: The ISO/IEC 13816:1997(E) ISLISP standard supports arbitrary precision integer numbers.
- J: built-in extended precision
- Java: Class
java.math.BigInteger
(integer),java.math.BigDecimal
Class (decimal) - JavaScript: as of ES2020, BigInt is supported in most browsers;[2] the gwt-math library provides an interface to
java.math.BigDecimal
, and libraries such as DecimalJS, BigInt and Crunch support arbitrary-precision integers. - Julia: the built-in
BigFloat
andBigInt
types provide arbitrary-precision floating point and integer arithmetic respectively. - newRPL: integers and floats can be of arbitrary precision (up to at least 2000 digits); maximum number of digits configurable (default 32 digits)
- Nim: bigints and multiple GMP bindings.
- OCaml: The Num library supports arbitrary-precision integers and rationals.
- OpenLisp: supports arbitrary precision integer numbers.
- Perl: The
bignum
andbigrat
pragmas provide BigNum and BigRational support for Perl. - PHP: The BC Math module provides arbitrary precision mathematics.
- PicoLisp: supports arbitrary precision integers.
- Pike: the built-in
int
type will silently change from machine-native integer to arbitrary precision as soon as the value exceeds the former's capacity. - Prolog: ISO standard compatible Prolog systems can check the Prolog flag "bounded". Most of the major Prolog systems support arbitrary precision integer numbers.
- Python: the built-in
int
(3.x) /long
(2.x) integer type is of arbitrary precision. TheDecimal
class in the standard library module decimal has user definable precision and limited mathematical operations (exponentiation, square root, etc. but no trigonometric functions). TheFraction
class in the module fractions implements rational numbers. More extensive arbitrary precision floating point arithmetic is available with the third-party "mpmath" and "bigfloat" packages. - Racket: the built-in
exact
numbers are of arbitrary precision. Example:(expt 10 100)
produces the expected (large) result. Exact numbers also include rationals, so(/ 3 4)
produces3/4
. Arbitrary precision floating point numbers are included in the standard library math/bigfloat module. - Raku: Rakudo supports
Int
andFatRat
data types that promote to arbitrary-precision integers and rationals. - Rexx: variants including Open Object Rexx and NetRexx
- RPL (only on HP 49/50 series in exact mode): calculator treats numbers entered without decimal point as integers rather than floats; integers are of arbitrary precision only limited by the available memory.
- Ruby: the built-in
Bignum
integer type is of arbitrary precision. TheBigDecimal
class in the standard library module bigdecimal has user definable precision. - Scheme: R5RS encourages, and R6RS requires, that exact integers and exact rationals be of arbitrary precision.
- Scala:
Class BigInt
andClass BigDecimal
. - Seed7:
bigInteger
andbigRational
. - Self: arbitrary precision integers are supported by the built-in
bigInt
type. - Smalltalk: variants including Squeak, Smalltalk/X, GNU Smalltalk, Dolphin Smalltalk, etc.
- SmartXML, a free programming language with integrated development environment (IDE) for mathematical calculations. Variables of
BigNumber
type can be used, or regular numbers can be converted to big numbers using conversion operator#
(e.g.,#2.3^2000.1
). SmartXML big numbers can have up to 100,000,000 decimal digits and up to 100,000,000 whole digits. - Standard ML: The optional built-in
IntInf
structure implements the INTEGER signature and supports arbitrary-precision integers. - Tcl: As of version 8.5 (2007), integers are arbitrary-precision by default. (Behind the scenes, the language switches to using an arbitrary-precision internal representation for integers too large to fit in a machine word. Bindings from C should use library functions such as
Tcl_GetLongFromObj
to get values as C-native data types from Tcl integers.) - Wolfram Language, like Mathematica, employs GMP for approximate number computation.
Online calculators
editFor one-off calculations. Runs on server or in browser. No installation or compilation required.
- 1. https://www.mathsisfun.com/calculator-precision.html 200 places
- 2. http://birrell.org/andrew/ratcalc/ arbitrary; select rational or fixed-point and number of places
- 3. PARI/GP online calculator - https://pari.math.u-bordeaux.fr/gp.html (PARI/GP is a widely used computer algebra system designed for fast computations in number theory (factorizations, algebraic number theory, elliptic curves, modular forms, L functions...), but also contains a large number of other useful functions to compute with mathematical entities such as matrices, polynomials, power series, algebraic numbers etc., and a lot of transcendental functions. PARI is also available as a C library to allow for faster computations.)
- 4.1. AutoCalcs - allow users to Search, Create, Store and Share multi-step calculations using explicit expressions featuring automated Unit Conversion. It is a platform that allows users to go beyond unit conversion, which in turn brings in significantly improved efficiency. A lot of sample calculations can be found at AutoCalcs Docs site. Calculations created with AutoCalcs can be embedded into 3rd party websites.
- 4.2. AutoCalcs Docs - considering above mentioned AutoCalcs as the calculation engine, this Docs site is a library with a host of calculations, where each calculation is essentially a web app that can run online, be further customized, and much more. Imaging reading a book with a lot of calculations, then this is the book/manual with all calculations that can be used on the fly. It is worthwhile to mention - when units are involved in the calculations, the unit conversion can be automated.
References
edit- ^ "OpenSSL 3.0 Has Been Released!". OpenSSL Blog. Sep 7, 2021. Retrieved 2024-10-11.
- ^ "BigInt". Can I use. Retrieved 2021-03-16.