Number.FixedPoint

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.

Conversion

other number types

fromFloat :: C 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

sin :: Integer -> Integer -> Integer

tan :: Integer -> Integer -> Integer

cos :: 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