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Encyclopedia > Arbitrary precision

Arbitrary precision mathematical libraries allow computer programs to perform calculations and then specify how many digits will be used for the result. They can handle numbers of any arbitrary size, and perform calculations to any requested precision. An arbitrary precision library is similar to a Bignum library.


Uses

For most applications, arbitrary precision is not necessary. However, there are many applications that deal with very large or very small numbers, or require extremely precise results. Examples of fields that might require such precision might be:

Software examples

  • BCMath - the PHP binary calculator functions
  • Bc programming language - the POSIX / GNU binary calculator
  • Dc programming language - the POSIX desk calculator
  • GNU Multi-Precision Library - the GNU multiple precision arithmetic library

  Results from FactBites:
 
Arbitrary-precision arithmetic - Wikipedia, the free encyclopedia (649 words)
Perhaps the earliest widespread implementation of arbitrary precision arithmetic was in Maclisp.
Consequently, arbitrary precision is only used in a limited range of applications that require extremely precise results or exact integer arithmetic with very large numbers.
Arbitrary precision arithmetic is also used to compute fundamental mathematical constants such as pi to millions or more digits and to analyze their properties.
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