Copyright	(c) Henning Thielemann 2007
Maintainer	haskell@henning-thielemann.de
Stability	stable
Portability	Haskell 98
Safe Haskell	None
Language	Haskell98

Number.NonNegative

Contents

Orphan instances

Description

A type for non-negative numbers. It performs a run-time check at construction time (i.e. at run-time) and is a member of the non-negative number type class C.

Synopsis

data T a
fromNumber :: (Ord a, C a) => a -> T a
fromNumberMsg :: (Ord a, C a) => String -> a -> T a
fromNumberClip :: (Ord a, C a) => a -> T a
fromNumberUnsafe :: a -> T a
toNumber :: T a -> a
type Int = T Int
type Integer = T Integer
type Float = T Float
type Double = T Double
type Ratio a = T (T a)
type Rational = T Rational

Documentation

data T a #

Instances

Instances details

(Ord a, Num a, Bounded a) => Bounded (T a)
Instance details Defined in Numeric.NonNegative.Wrapper Methods minBound :: T a # maxBound :: T a #
(Ord a, Num a, Enum a) => Enum (T a)
Instance details Defined in Numeric.NonNegative.Wrapper Methods succ :: T a -> T a # pred :: T a -> T a # toEnum :: Int -> T a # fromEnum :: T a -> Int # enumFrom :: T a -> [T a] # enumFromThen :: T a -> T a -> [T a] # enumFromTo :: T a -> T a -> [T a] # enumFromThenTo :: T a -> T a -> T a -> [T a] #
Eq a => Eq (T a)
Instance details Defined in Numeric.NonNegative.Wrapper Methods (==) :: T a -> T a -> Bool # (/=) :: T a -> T a -> Bool #
(Ord a, Floating a) => Floating (T a)
Instance details Defined in Numeric.NonNegative.Wrapper Methods pi :: T a # exp :: T a -> T a # log :: T a -> T a # sqrt :: T a -> T a # (**) :: T a -> T a -> T a # logBase :: T a -> T a -> T a # sin :: T a -> T a # cos :: T a -> T a # tan :: T a -> T a # asin :: T a -> T a # acos :: T a -> T a # atan :: T a -> T a # sinh :: T a -> T a # cosh :: T a -> T a # tanh :: T a -> T a # asinh :: T a -> T a # acosh :: T a -> T a # atanh :: T a -> T a # log1p :: T a -> T a # expm1 :: T a -> T a # log1pexp :: T a -> T a # log1mexp :: T a -> T a #
(Ord a, Fractional a) => Fractional (T a)
Instance details Defined in Numeric.NonNegative.Wrapper Methods (/) :: T a -> T a -> T a # recip :: T a -> T a # fromRational :: Rational -> T a #
Integral a => Integral (T a)
Instance details Defined in Numeric.NonNegative.Wrapper Methods quot :: T a -> T a -> T a # rem :: T a -> T a -> T a # div :: T a -> T a -> T a # mod :: T a -> T a -> T a # quotRem :: T a -> T a -> (T a, T a) # divMod :: T a -> T a -> (T a, T a) # toInteger :: T a -> Integer #
(Ord a, Num a) => Num (T a)
Instance details Defined in Numeric.NonNegative.Wrapper Methods (+) :: T a -> T a -> T a # (-) :: T a -> T a -> T a # (*) :: T a -> T a -> T a # negate :: T a -> T a # abs :: T a -> T a # signum :: T a -> T a # fromInteger :: Integer -> T a #
Ord a => Ord (T a)
Instance details Defined in Numeric.NonNegative.Wrapper Methods compare :: T a -> T a -> Ordering # (<) :: T a -> T a -> Bool # (<=) :: T a -> T a -> Bool # (>) :: T a -> T a -> Bool # (>=) :: T a -> T a -> Bool # max :: T a -> T a -> T a # min :: T a -> T a -> T a #
Real a => Real (T a)
Instance details Defined in Numeric.NonNegative.Wrapper Methods toRational :: T a -> Rational #
RealFrac a => RealFrac (T a)
Instance details Defined in Numeric.NonNegative.Wrapper Methods properFraction :: Integral b => T a -> (b, T a) # truncate :: Integral b => T a -> b # round :: Integral b => T a -> b # ceiling :: Integral b => T a -> b # floor :: Integral b => T a -> b #
Show a => Show (T a)
Instance details Defined in Numeric.NonNegative.Wrapper Methods showsPrec :: Int -> T a -> ShowS # show :: T a -> String # showList :: [T a] -> ShowS #
Num a => Semigroup (T a)
Instance details Defined in Numeric.NonNegative.Wrapper Methods (<>) :: T a -> T a -> T a # sconcat :: NonEmpty (T a) -> T a # stimes :: Integral b => b -> T a -> T a #
Num a => Monoid (T a)
Instance details Defined in Numeric.NonNegative.Wrapper Methods mempty :: T a # mappend :: T a -> T a -> T a # mconcat :: [T a] -> T a #
(Num a, Arbitrary a) => Arbitrary (T a)
Instance details Defined in Numeric.NonNegative.Wrapper Methods arbitrary :: Gen (T a) # shrink :: T a -> [T a] #
(Ord a, Num a) => C (T a)
Instance details Defined in Numeric.NonNegative.Wrapper Methods split :: T a -> T a -> (T a, (Bool, T a)) #
(Ord a, C a) => C (T a) Source #
Instance details Defined in Number.NonNegative Methods zero :: T a Source # (+) :: T a -> T a -> T a Source # (-) :: T a -> T a -> T a Source # negate :: T a -> T a Source #
C a => C (T a) Source #
Instance details Defined in Number.NonNegative Methods isZero :: T a -> Bool Source #
(Ord a, C a) => C (T a) Source #
Instance details Defined in Number.NonNegative Methods (*) :: T a -> T a -> T a Source # one :: T a Source # fromInteger :: Integer -> T a Source # (^) :: T a -> Integer -> T a Source #
C a => C (T a) Source #
Instance details Defined in Number.NonNegative Methods idt :: T a Source # (<*>) :: T a -> T a -> T a Source # cumulate :: [T a] -> T a Source #
(Ord a, C a) => C (T a) Source #
Instance details Defined in Number.NonNegative Methods split :: T a -> T a -> (T a, (Bool, T a)) Source #
(Ord a, C a) => C (T a) Source #
Instance details Defined in Number.NonNegative Methods div :: T a -> T a -> T a Source # mod :: T a -> T a -> T a Source # divMod :: T a -> T a -> (T a, T a) Source #
(C a, Ord a, C a) => C (T a) Source #
Instance details Defined in Number.NonNegative Methods abs :: T a -> T a Source # signum :: T a -> T a Source #
(Ord a, C a) => C (T a) Source #
Instance details Defined in Number.NonNegative Methods (/) :: T a -> T a -> T a Source # recip :: T a -> T a Source # fromRational' :: Rational -> T a Source # (^-) :: T a -> Integer -> T a Source #
(Ord a, C a) => C (T a) Source #
Instance details Defined in Number.NonNegative Methods toRational :: T a -> Rational Source #
C a => C (T a) Source #
Instance details Defined in Number.NonNegative Methods quot :: T a -> T a -> T a Source # rem :: T a -> T a -> T a Source # quotRem :: T a -> T a -> (T a, T a) Source #
C a => C (T a) Source #
Instance details Defined in Number.NonNegative Methods toInteger :: T a -> Integer Source #
(Ord a, C a) => C (T a) Source #
Instance details Defined in Number.NonNegative Methods sqrt :: T a -> T a Source # root :: Integer -> T a -> T a Source # (^/) :: T a -> Rational -> T a Source #
(Ord a, C a) => C (T a) Source #
Instance details Defined in Number.NonNegative Methods pi :: T a Source # exp :: T a -> T a Source # log :: T a -> T a Source # logBase :: T a -> T a -> T a Source # (**) :: T a -> T a -> T a Source # sin :: T a -> T a Source # cos :: T a -> T a Source # tan :: T a -> T a Source # asin :: T a -> T a Source # acos :: T a -> T a Source # atan :: T a -> T a Source # sinh :: T a -> T a Source # cosh :: T a -> T a Source # tanh :: T a -> T a Source # asinh :: T a -> T a Source # acosh :: T a -> T a Source # atanh :: T a -> T a Source #
(C a, C a) => C (T a) Source #
Instance details Defined in Number.NonNegative Methods splitFraction :: C b => T a -> (b, T a) Source # fraction :: T a -> T a Source # ceiling :: C b => T a -> b Source # floor :: C b => T a -> b Source # truncate :: C b => T a -> b Source # round :: C b => T a -> b Source #

fromNumber :: (Ord a, C a) => a -> T a Source #

Convert a number to a non-negative number. If a negative number is given, an error is raised.

fromNumberMsg Source #

Arguments

:: (Ord a, C a)
=> String	name of the calling function to be used in the error message
-> a
-> T a

fromNumberClip :: (Ord a, C a) => a -> T a Source #

Convert a number to a non-negative number. A negative number will be replaced by zero. Use this function with care since it may hide bugs.

fromNumberUnsafe :: a -> T a #

Wrap a number into a non-negative number without doing checks. This routine exists entirely for efficiency reasons and must be used only in cases where you are absolutely sure, that the input number is non-negative.

toNumber :: T a -> a #

type Int = T Int #

type Integer = T Integer #

type Float = T Float #

type Double = T Double #

type Ratio a = T (T a) Source #

type Rational = T Rational Source #

Orphan instances

(Ord a, C a) => C (T a) Source #
Instance details Methods zero :: T a Source # (+) :: T a -> T a -> T a Source # (-) :: T a -> T a -> T a Source # negate :: T a -> T a Source #
C a => C (T a) Source #
Instance details Methods isZero :: T a -> Bool Source #
(Ord a, C a) => C (T a) Source #
Instance details Methods (*) :: T a -> T a -> T a Source # one :: T a Source # fromInteger :: Integer -> T a Source # (^) :: T a -> Integer -> T a Source #
C a => C (T a) Source #
Instance details Methods idt :: T a Source # (<*>) :: T a -> T a -> T a Source # cumulate :: [T a] -> T a Source #
(Ord a, C a) => C (T a) Source #
Instance details Methods split :: T a -> T a -> (T a, (Bool, T a)) Source #
(Ord a, C a) => C (T a) Source #
Instance details Methods div :: T a -> T a -> T a Source # mod :: T a -> T a -> T a Source # divMod :: T a -> T a -> (T a, T a) Source #
(C a, Ord a, C a) => C (T a) Source #
Instance details Methods abs :: T a -> T a Source # signum :: T a -> T a Source #
(Ord a, C a) => C (T a) Source #
Instance details Methods (/) :: T a -> T a -> T a Source # recip :: T a -> T a Source # fromRational' :: Rational -> T a Source # (^-) :: T a -> Integer -> T a Source #
(Ord a, C a) => C (T a) Source #
Instance details Methods toRational :: T a -> Rational Source #
C a => C (T a) Source #
Instance details Methods quot :: T a -> T a -> T a Source # rem :: T a -> T a -> T a Source # quotRem :: T a -> T a -> (T a, T a) Source #
C a => C (T a) Source #
Instance details Methods toInteger :: T a -> Integer Source #
(Ord a, C a) => C (T a) Source #
Instance details Methods sqrt :: T a -> T a Source # root :: Integer -> T a -> T a Source # (^/) :: T a -> Rational -> T a Source #
(Ord a, C a) => C (T a) Source #
Instance details Methods pi :: T a Source # exp :: T a -> T a Source # log :: T a -> T a Source # logBase :: T a -> T a -> T a Source # (**) :: T a -> T a -> T a Source # sin :: T a -> T a Source # cos :: T a -> T a Source # tan :: T a -> T a Source # asin :: T a -> T a Source # acos :: T a -> T a Source # atan :: T a -> T a Source # sinh :: T a -> T a Source # cosh :: T a -> T a Source # tanh :: T a -> T a Source # asinh :: T a -> T a Source # acosh :: T a -> T a Source # atanh :: T a -> T a Source #
(C a, C a) => C (T a) Source #
Instance details Methods splitFraction :: C b => T a -> (b, T a) Source # fraction :: T a -> T a Source # ceiling :: C b => T a -> b Source # floor :: C b => T a -> b Source # truncate :: C b => T a -> b Source # round :: C b => T a -> b Source #