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
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: base-4.7.0.0

Instances

Enum (Fixed a) Source #	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) Source #
Instance details Defined in Data.Fixed Methods (==) :: Fixed a -> Fixed a -> Bool Source # (/=) :: Fixed a -> Fixed a -> Bool Source #
HasResolution a => Fractional (Fixed a) Source #	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 a => Data (Fixed a) Source #	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 :: (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 #	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) Source #
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) Source #	Since: base-4.3.0.0
Instance details Defined in Data.Fixed 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 #	Since: base-2.1
Instance details Defined in Data.Fixed Methods toRational :: Fixed a -> Rational Source #
HasResolution a => RealFrac (Fixed a) Source #	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) Source #	Since: base-2.1
Instance details Defined in Data.Fixed Methods showsPrec :: Int -> Fixed a -> ShowS Source # show :: Fixed a -> String Source # showList :: [Fixed a] -> ShowS Source #

class HasResolution a where Source #

Minimal complete definition

resolution

Methods

resolution :: p a -> Integer Source #

Instances

HasResolution E12 Source #	Since: base-2.1
Instance details Defined in Data.Fixed Methods resolution :: p E12 -> Integer Source #
HasResolution E9 Source #	Since: base-4.1.0.0
Instance details Defined in Data.Fixed Methods resolution :: p E9 -> Integer Source #
HasResolution E6 Source #	Since: base-2.1
Instance details Defined in Data.Fixed Methods resolution :: p E6 -> Integer Source #
HasResolution E3 Source #	Since: base-4.1.0.0
Instance details Defined in Data.Fixed Methods resolution :: p E3 -> Integer Source #
HasResolution E2 Source #	Since: base-4.1.0.0
Instance details Defined in Data.Fixed Methods resolution :: p E2 -> Integer Source #
HasResolution E1 Source #	Since: base-4.1.0.0
Instance details Defined in Data.Fixed Methods resolution :: p E1 -> Integer Source #
HasResolution E0 Source #	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

HasResolution E0 Source #	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

HasResolution E1 Source #	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

HasResolution E2 Source #	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

HasResolution E3 Source #	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

HasResolution E6 Source #	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

HasResolution E9 Source #	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

HasResolution E12 Source #	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