base-4.14.0.0: Basic libraries
Copyright(c) Ashley Yakeley 2005 2006 2009
LicenseBSD-style (see the file libraries/base/LICENSE)
MaintainerAshley Yakeley <ashley@semantic.org>
Stabilityexperimental
Portabilityportable
Safe HaskellTrustworthy
LanguageHaskell2010

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

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 

Instances

Instances details
Enum (Fixed a) #

Since: base-2.1

Instance details

Defined in Data.Fixed

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) #

Since: base-2.1

Instance details

Defined in Data.Fixed

Methods

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

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

HasResolution a => Fractional (Fixed a) #

Since: base-2.1

Instance details

Defined in Data.Fixed

Methods

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

recip :: Fixed a -> Fixed a Source #

fromRational :: Rational -> Fixed a Source #

(Typeable k, Typeable a) => Data (Fixed a) #

Since: base-4.1.0.0

Instance details

Defined in Data.Fixed

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 :: forall r r'. (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) #

Since: base-2.1

Instance details

Defined in Data.Fixed

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) #

Since: base-2.1

Instance details

Defined in Data.Fixed

Methods

compare :: Fixed a -> Fixed a -> Ordering Source #

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

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

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

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

max :: Fixed a -> Fixed a -> Fixed a Source #

min :: Fixed a -> Fixed a -> Fixed a Source #

HasResolution a => Read (Fixed a) #

Since: base-4.3.0.0

Instance details

Defined in Data.Fixed

HasResolution a => Real (Fixed a) #

Since: base-2.1

Instance details

Defined in Data.Fixed

HasResolution a => RealFrac (Fixed a) #

Since: base-2.1

Instance details

Defined in Data.Fixed

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) #

Since: base-2.1

Instance details

Defined in Data.Fixed

class HasResolution a where Source #

Methods

resolution :: p a -> Integer Source #

Instances

Instances details
KnownNat n => HasResolution (n :: Nat) #

For example, Fixed 1000 will give you a Fixed with a resolution of 1000.

Instance details

Defined in Data.Fixed

Methods

resolution :: p n -> Integer Source #

HasResolution E12 #

Since: base-2.1

Instance details

Defined in Data.Fixed

Methods

resolution :: p E12 -> Integer Source #

HasResolution E9 #

Since: base-4.1.0.0

Instance details

Defined in Data.Fixed

Methods

resolution :: p E9 -> Integer Source #

HasResolution E6 #

Since: base-2.1

Instance details

Defined in Data.Fixed

Methods

resolution :: p E6 -> Integer Source #

HasResolution E3 #

Since: base-4.1.0.0

Instance details

Defined in Data.Fixed

Methods

resolution :: p E3 -> Integer Source #

HasResolution E2 #

Since: base-4.1.0.0

Instance details

Defined in Data.Fixed

Methods

resolution :: p E2 -> Integer Source #

HasResolution E1 #

Since: base-4.1.0.0

Instance details

Defined in Data.Fixed

Methods

resolution :: p E1 -> Integer Source #

HasResolution E0 #

Since: base-4.1.0.0

Instance details

Defined in Data.Fixed

Methods

resolution :: p E0 -> Integer Source #

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

First arg is whether to chop off trailing zeros

data E0 Source #

Instances

Instances details
HasResolution E0 #

Since: base-4.1.0.0

Instance details

Defined in Data.Fixed

Methods

resolution :: p E0 -> Integer Source #

type Uni = Fixed E0 Source #

resolution of 1, this works the same as Integer

data E1 Source #

Instances

Instances details
HasResolution E1 #

Since: base-4.1.0.0

Instance details

Defined in Data.Fixed

Methods

resolution :: p E1 -> Integer Source #

type Deci = Fixed E1 Source #

resolution of 10^-1 = .1

data E2 Source #

Instances

Instances details
HasResolution E2 #

Since: base-4.1.0.0

Instance details

Defined in Data.Fixed

Methods

resolution :: p E2 -> Integer Source #

type Centi = Fixed E2 Source #

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

data E3 Source #

Instances

Instances details
HasResolution E3 #

Since: base-4.1.0.0

Instance details

Defined in Data.Fixed

Methods

resolution :: p E3 -> Integer Source #

type Milli = Fixed E3 Source #

resolution of 10^-3 = .001

data E6 Source #

Instances

Instances details
HasResolution E6 #

Since: base-2.1

Instance details

Defined in Data.Fixed

Methods

resolution :: p E6 -> Integer Source #

type Micro = Fixed E6 Source #

resolution of 10^-6 = .000001

data E9 Source #

Instances

Instances details
HasResolution E9 #

Since: base-4.1.0.0

Instance details

Defined in Data.Fixed

Methods

resolution :: p E9 -> Integer Source #

type Nano = Fixed E9 Source #

resolution of 10^-9 = .000000001

data E12 Source #

Instances

Instances details
HasResolution E12 #

Since: base-2.1

Instance details

Defined in Data.Fixed

Methods

resolution :: p E12 -> Integer Source #

type Pico = Fixed E12 Source #

resolution of 10^-12 = .000000000001