base-4.8.1.0: Basic libraries

Copyright	(c) Ashley Yakeley 2005, 2006, 2009
License	BSD-style (see the file libraries/base/LICENSE)
Maintainer	Ashley Yakeley <ashley@semantic.org>
Stability	experimental
Portability	portable
Safe Haskell	Trustworthy
Language	Haskell2010

Data.Fixed

Description

This module defines a "Fixed" type for fixed-precision arithmetic. The parameter to Fixed is any type that's an instance of HasResolution. HasResolution has a single method that gives the resolution of the Fixed type.

This module also contains generalisations of div, mod, and divmod to work with any Real instance.

Synopsis

div' :: (Real a, Integral b) => a -> a -> b
mod' :: Real a => a -> a -> a
divMod' :: (Real a, Integral b) => a -> a -> (b, a)
newtype Fixed a = MkFixed Integer
class HasResolution a where
- resolution :: p a -> Integer
showFixed :: HasResolution a => Bool -> Fixed a -> String
data E0
type Uni = Fixed E0
data E1
type Deci = Fixed E1
data E2
type Centi = Fixed E2
data E3
type Milli = Fixed E3
data E6
type Micro = Fixed E6
data E9
type Nano = Fixed E9
data E12
type Pico = Fixed E12

Documentation

div' :: (Real a, Integral b) => a -> a -> b Source

generalisation of div to any instance of Real

mod' :: Real a => a -> a -> a Source

generalisation of mod to any instance of Real

divMod' :: (Real a, Integral b) => a -> a -> (b, a) Source

generalisation of divMod to any instance of Real

newtype Fixed a Source

The type parameter should be an instance of HasResolution .

Constructors

MkFixed Integer

Since: 4.7.0.0

Instances

Enum (Fixed a) Source

Methods

succ :: Fixed a -> Fixed a Source

pred :: Fixed a -> Fixed a Source

toEnum :: Int -> Fixed a Source

fromEnum :: Fixed a -> Int Source

enumFrom :: Fixed a -> [Fixed a] Source

enumFromThen :: Fixed a -> Fixed a -> [Fixed a] Source

enumFromTo :: Fixed a -> Fixed a -> [Fixed a] Source

enumFromThenTo :: Fixed a -> Fixed a -> Fixed a -> [Fixed a] Source

Eq (Fixed a) Source

Methods

(==) :: Fixed a -> Fixed a -> Bool

(/=) :: Fixed a -> Fixed a -> Bool

HasResolution a => Fractional (Fixed a) Source

Methods

(/) :: Fixed a -> Fixed a -> Fixed a Source

recip :: Fixed a -> Fixed a Source

fromRational :: Rational -> Fixed a Source

Typeable * a => Data (Fixed a) Source

Methods

gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Fixed a -> c (Fixed a) Source

gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (Fixed a) Source

toConstr :: Fixed a -> Constr Source

dataTypeOf :: Fixed a -> DataType Source

dataCast1 :: Typeable (* -> *) t => (forall d. Data d => c (t d)) -> Maybe (c (Fixed a)) Source

dataCast2 :: Typeable (* -> * -> *) t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (Fixed a)) Source

gmapT :: (forall b. Data b => b -> b) -> Fixed a -> Fixed a Source

gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Fixed a -> r Source

gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Fixed a -> r Source

gmapQ :: (forall d. Data d => d -> u) -> Fixed a -> [u] Source

gmapQi :: Int -> (forall d. Data d => d -> u) -> Fixed a -> u Source

gmapM :: Monad m => (forall d. Data d => d -> m d) -> Fixed a -> m (Fixed a) Source

gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Fixed a -> m (Fixed a) Source

gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Fixed a -> m (Fixed a) Source

HasResolution a => Num (Fixed a) Source

Methods

(+) :: Fixed a -> Fixed a -> Fixed a Source

(-) :: Fixed a -> Fixed a -> Fixed a Source

(*) :: Fixed a -> Fixed a -> Fixed a Source

negate :: Fixed a -> Fixed a Source

abs :: Fixed a -> Fixed a Source

signum :: Fixed a -> Fixed a Source

fromInteger :: Integer -> Fixed a Source

Ord (Fixed a) Source

Methods

compare :: Fixed a -> Fixed a -> Ordering

(<) :: Fixed a -> Fixed a -> Bool

(<=) :: Fixed a -> Fixed a -> Bool

(>) :: Fixed a -> Fixed a -> Bool

(>=) :: Fixed a -> Fixed a -> Bool

max :: Fixed a -> Fixed a -> Fixed a

min :: Fixed a -> Fixed a -> Fixed a

HasResolution a => Read (Fixed a) Source

Methods

readsPrec :: Int -> ReadS (Fixed a) Source

readList :: ReadS [Fixed a] Source

readPrec :: ReadPrec (Fixed a) Source

readListPrec :: ReadPrec [Fixed a] Source

HasResolution a => Real (Fixed a) Source

Methods

toRational :: Fixed a -> Rational Source

HasResolution a => RealFrac (Fixed a) Source

Methods

properFraction :: Integral b => Fixed a -> (b, Fixed a) Source

truncate :: Integral b => Fixed a -> b Source

round :: Integral b => Fixed a -> b Source

ceiling :: Integral b => Fixed a -> b Source

floor :: Integral b => Fixed a -> b Source

HasResolution a => Show (Fixed a) Source

Methods

showsPrec :: Int -> Fixed a -> ShowS Source

show :: Fixed a -> String Source

showList :: [Fixed a] -> ShowS Source

class HasResolution a where Source

Methods

resolution :: p a -> Integer Source

Instances

HasResolution E12 Source

Methods

resolution :: p E12 -> Integer Source

HasResolution E9 Source

Methods

resolution :: p E9 -> Integer Source

HasResolution E6 Source

Methods

resolution :: p E6 -> Integer Source

HasResolution E3 Source

Methods

resolution :: p E3 -> Integer Source

HasResolution E2 Source

Methods

resolution :: p E2 -> Integer Source

HasResolution E1 Source

Methods

resolution :: p E1 -> Integer Source

HasResolution E0 Source

Methods

resolution :: p E0 -> Integer Source

showFixed :: HasResolution a => Bool -> Fixed a -> String Source

First arg is whether to chop off trailing zeros

Instances

HasResolution E0 Source

Methods

resolution :: p E0 -> Integer Source

type Uni = Fixed E0 Source

resolution of 1, this works the same as Integer

Instances

HasResolution E1 Source

Methods

resolution :: p E1 -> Integer Source

type Deci = Fixed E1 Source

resolution of 10^-1 = .1

Instances

HasResolution E2 Source

Methods

resolution :: p E2 -> Integer Source

type Centi = Fixed E2 Source

resolution of 10^-2 = .01, useful for many monetary currencies

Instances

HasResolution E3 Source

Methods

resolution :: p E3 -> Integer Source

type Milli = Fixed E3 Source

resolution of 10^-3 = .001

Instances

HasResolution E6 Source

Methods

resolution :: p E6 -> Integer Source

type Micro = Fixed E6 Source

resolution of 10^-6 = .000001

Instances

HasResolution E9 Source

Methods

resolution :: p E9 -> Integer Source

type Nano = Fixed E9 Source

resolution of 10^-9 = .000000001

data E12 Source

Instances

HasResolution E12 Source

Methods

resolution :: p E12 -> Integer Source

type Pico = Fixed E12 Source

resolution of 10^-12 = .000000000001