Safe Haskell	None
Language	Haskell98

Algebra.Algebraic

Contents

Properties

Synopsis

class C a => C a where
genericRoot :: (C a, C b) => b -> a -> a
power :: (C a, C b) => b -> a -> a
propSqrSqrt :: (Eq a, C a) => a -> Bool
propPowerCascade :: (Eq a, C a) => a -> Rational -> Rational -> Bool
propPowerProduct :: (Eq a, C a) => a -> Rational -> Rational -> Bool
propPowerDistributive :: (Eq a, C a) => Rational -> a -> a -> Bool

Documentation

class C a => C a where #

Minimal implementation: root or '(^/)'.

Minimal complete definition

root | (^/)

Methods

sqrt :: a -> a #

root :: Integer -> a -> a #

(^/) :: a -> Rational -> a infixr 8 #

Instances

C Double #
Instance details Defined in Algebra.Algebraic Methods sqrt :: Double -> Double # root :: Integer -> Double -> Double # (^/) :: Double -> Rational -> Double #
C Float #
Instance details Defined in Algebra.Algebraic Methods sqrt :: Float -> Float # root :: Integer -> Float -> Float # (^/) :: Float -> Rational -> Float #
C T #
Instance details Defined in Number.FixedPoint.Check Methods sqrt :: T -> T # root :: Integer -> T -> T # (^/) :: T -> Rational -> T #
C T #
Instance details Defined in Number.Positional.Check Methods sqrt :: T -> T # root :: Integer -> T -> T # (^/) :: T -> Rational -> T #
(Ord a, C a) => C (T a) #
Instance details Defined in Number.NonNegative Methods sqrt :: T a -> T a # root :: Integer -> T a -> T a # (^/) :: T a -> Rational -> T a #
Floating a => C (T a) #
Instance details Defined in MathObj.Wrapper.Haskell98 Methods sqrt :: T a -> T a # root :: Integer -> T a -> T a # (^/) :: T a -> Rational -> T a #
C a => C (T a) #
Instance details Defined in Number.PartiallyTranscendental Methods sqrt :: T a -> T a # root :: Integer -> T a -> T a # (^/) :: T a -> Rational -> T a #
C a => C (T a) #
Instance details Defined in MathObj.PowerSeries Methods sqrt :: T a -> T a # root :: Integer -> T a -> T a # (^/) :: T a -> Rational -> T a #
C a => C (T a) #
Instance details Defined in MathObj.PowerSeries2 Methods sqrt :: T a -> T a # root :: Integer -> T a -> T a # (^/) :: T a -> Rational -> T a #
(C a, C a) => C (T a) #
Instance details Defined in MathObj.PowerSum Methods sqrt :: T a -> T a # root :: Integer -> T a -> T a # (^/) :: T a -> Rational -> T a #
(C a, C a) => C (T a) #
Instance details Defined in MathObj.RootSet Methods sqrt :: T a -> T a # root :: Integer -> T a -> T a # (^/) :: T a -> Rational -> T a #
(C a, C a, Power a) => C (T a) #
Instance details Defined in Number.Complex Methods sqrt :: T a -> T a # root :: Integer -> T a -> T a # (^/) :: T a -> Rational -> T a #
C a => C (T a) #
Instance details Defined in MathObj.Wrapper.NumericPrelude Methods sqrt :: T a -> T a # root :: Integer -> T a -> T a # (^/) :: T a -> Rational -> T a #
(C a, C v, Show v, C a v) => C (T a v) #
Instance details Defined in Number.OccasionallyScalarExpression Methods sqrt :: T a v -> T a v # root :: Integer -> T a v -> T a v # (^/) :: T a v -> Rational -> T a v #
(Ord i, C a) => C (T i a) #
Instance details Defined in Number.Physical Methods sqrt :: T i a -> T i a # root :: Integer -> T i a -> T i a # (^/) :: T i a -> Rational -> T i a #
C v => C (T a v) #
Instance details Defined in Number.SI Methods sqrt :: T a v -> T a v # root :: Integer -> T a v -> T a v # (^/) :: T a v -> Rational -> T a v #

genericRoot :: (C a, C b) => b -> a -> a #

power :: (C a, C b) => b -> a -> a #

Properties

propSqrSqrt :: (Eq a, C a) => a -> Bool #

propPowerCascade :: (Eq a, C a) => a -> Rational -> Rational -> Bool #

propPowerProduct :: (Eq a, C a) => a -> Rational -> Rational -> Bool #

propPowerDistributive :: (Eq a, C a) => Rational -> a -> a -> Bool #