scientific: Numbers represented using scientific notation

[ bsd3, data, library ] [ Propose Tags ]

Data.Scientific provides a space efficient and arbitrary precision scientific number type.

Scientific numbers are represented using scientific notation. It uses a coefficient c :: Integer and a base-10 exponent e :: Int (do note that since we're using an Int to represent the exponent these numbers aren't truly arbitrary precision). A scientific number corresponds to the Fractional number: fromInteger c * 10 ^^ e.

The main application of Scientific is to be used as the target of parsing arbitrary precision numbers coming from an untrusted source. The advantages over using Rational for this are that:

• A Scientific is more efficient to construct. Rational numbers need to be constructed using % which has to compute the gcd of the numerator and denominator. Scientific numbers only need to be normalized, i.e. 10000000 to 1e7.

• Scientific is safe against numbers with huge exponents. For example: 1e1000000000 :: Rational will fill up all space and crash your program. Scientific works as expected:

> read "1e1000000000" :: Scientific
1.0e1000000000
• Also, the space usage of converting scientific numbers with huge exponents to Integrals (like: Int) or RealFloats (like: Double or Float) will always be bounded by the target type.

Versions [faq] 0.0.0.0, 0.0.0.1, 0.0.0.2, 0.1.0.0, 0.1.0.1, 0.2.0.0, 0.2.0.1, 0.2.0.2, 0.3.0.0, 0.3.0.1, 0.3.0.2, 0.3.1.0, 0.3.2.0, 0.3.2.1, 0.3.2.2, 0.3.3.0, 0.3.3.1, 0.3.3.2, 0.3.3.3, 0.3.3.4, 0.3.3.5, 0.3.3.6, 0.3.3.7, 0.3.3.8, 0.3.4.0, 0.3.4.1, 0.3.4.2, 0.3.4.3, 0.3.4.4, 0.3.4.5, 0.3.4.6, 0.3.4.7, 0.3.4.8, 0.3.4.9, 0.3.4.10, 0.3.4.11, 0.3.4.12, 0.3.4.13, 0.3.4.14, 0.3.4.15, 0.3.5.0, 0.3.5.1, 0.3.5.2, 0.3.5.3, 0.3.6.0, 0.3.6.1, 0.3.6.2 arithmoi (>=0.4.1 && <0.5), array (>=0.1 && <0.6), base (>=4.3 && <4.8), bytestring (==0.10.*), deepseq (==1.3.*), hashable (>=1.1.2 && <1.3), text (>=0.8 && <1.3) [details] BSD-3-Clause Bas van Dijk Bas van Dijk Data https://github.com/basvandijk/scientific https://github.com/basvandijk/scientific/issues head: git clone git://github.com/basvandijk/scientific.git by BasVanDijk at Wed May 14 05:38:00 UTC 2014 Arch:0.3.6.2, Debian:0.3.6.2, Fedora:0.3.6.2, FreeBSD:0.3.3.8, LTSHaskell:0.3.6.2, NixOS:0.3.6.2, Stackage:0.3.6.2, openSUSE:0.3.6.2 338649 total (1073 in the last 30 days) 1.75 (votes: 2) [estimated by rule of succession] λ λ λ Docs available Successful builds reported

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