NumericPrelude-0.0: An experimental alternative hierarchy of numeric type classes Contents Index

Number.FixedPoint Portability requires multi-parameter type classes Stability provisional Maintainer numericprelude@henning-thielemann.de

Contents Conversion other number types text Additive Ring Field Algebra Transcendental

Description

Fixed point numbers. They are implemented as ratios with fixed denominator. Many routines fail for some arguments. When they work, they can be useful for obtaining approximations of some constants. We have not paid attention to rounding errors and thus some of the trailing digits may be wrong.

Synopsis

fromFloat :: RealFrac a => Integer -> a -> Integer fromFixedPoint :: Integer -> Integer -> Integer -> Integer showPositionalDec :: Integer -> Integer -> String showPositionalHex :: Integer -> Integer -> String showPositionalBin :: Integer -> Integer -> String showPositionalBasis :: Integer -> Integer -> Integer -> String liftShowPosToInt :: (Integer -> String) -> Integer -> String toPositional :: Integer -> Integer -> Integer -> (Integer, [Integer]) add :: Integer -> Integer -> Integer -> Integer sub :: Integer -> Integer -> Integer -> Integer mul :: Integer -> Integer -> Integer -> Integer divide :: Integer -> Integer -> Integer -> Integer recip :: Integer -> Integer -> Integer magnitudes :: [Integer] sqrt :: Integer -> Integer -> Integer root :: Integer -> Integer -> Integer -> Integer evalPowerSeries :: [Rational] -> Integer -> Integer -> Integer cos :: Integer -> Integer -> Integer sin :: Integer -> Integer -> Integer tan :: Integer -> Integer -> Integer arctanSmall :: Integer -> Integer -> Integer arctan :: Integer -> Integer -> Integer piConst :: Integer -> Integer expSmall :: Integer -> Integer -> Integer eConst :: Integer -> Integer recipEConst :: Integer -> Integer exp :: Integer -> Integer -> Integer approxLogBase :: Integer -> Integer -> (Int, Integer) lnSmall :: Integer -> Integer -> Integer ln :: Integer -> Integer -> Integer

Conversion

other number types

fromFloat :: RealFrac a => Integer -> a -> Integer

fromFixedPoint :: Integer -> Integer -> Integer -> Integer

denominator conversion

text

showPositionalDec :: Integer -> Integer -> String

very efficient because it can make use of the decimal output of show

showPositionalHex :: Integer -> Integer -> String

showPositionalBin :: Integer -> Integer -> String

showPositionalBasis :: Integer -> Integer -> Integer -> String

liftShowPosToInt :: (Integer -> String) -> Integer -> String

toPositional :: Integer -> Integer -> Integer -> (Integer, [Integer])

Additive

add :: Integer -> Integer -> Integer -> Integer

sub :: Integer -> Integer -> Integer -> Integer

Ring

mul :: Integer -> Integer -> Integer -> Integer

Field

divide :: Integer -> Integer -> Integer -> Integer

recip :: Integer -> Integer -> Integer

Algebra

magnitudes :: [Integer]

sqrt :: Integer -> Integer -> Integer

root :: Integer -> Integer -> Integer -> Integer

Transcendental

evalPowerSeries :: [Rational] -> Integer -> Integer -> Integer

cos :: Integer -> Integer -> Integer

sin :: Integer -> Integer -> Integer

tan :: Integer -> Integer -> Integer

arctanSmall :: Integer -> Integer -> Integer

arctan :: Integer -> Integer -> Integer

piConst :: Integer -> Integer

expSmall :: Integer -> Integer -> Integer

eConst :: Integer -> Integer

recipEConst :: Integer -> Integer

exp :: Integer -> Integer -> Integer

approxLogBase :: Integer -> Integer -> (Int, Integer)

lnSmall :: Integer -> Integer -> Integer

ln :: Integer -> Integer -> Integer

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