Number.PartiallyTranscendental

Define Transcendental functions on arbitrary fields. These functions are defined for only a few (in most cases only one) arguments, that's why we discourage making these types instances of C. But instances of C can be useful when working with power series. If you intend to work with power series with Rational coefficients, you might consider using MathObj.PowerSeries.T (Number.PartiallyTranscendental.T Rational) instead of MathObj.PowerSeries.T Rational.

Documentation

data T a

Instances

Eq a => Eq (T a)

Defined in Number.PartiallyTranscendental

Methods

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

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

Fractional a => Fractional (T a)

Defined in Number.PartiallyTranscendental

Methods

(/) :: T a -> T a -> T a

recip :: T a -> T a

fromRational :: Rational -> T a

Num a => Num (T a)

Defined in Number.PartiallyTranscendental

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)

Defined in Number.PartiallyTranscendental

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

Show a => Show (T a)

Defined in Number.PartiallyTranscendental

Methods

showsPrec :: Int -> T a -> ShowS

show :: T a -> String

showList :: [T a] -> ShowS

C a => C (T a)

Defined in Number.PartiallyTranscendental

Methods

zero :: T a

(+) :: T a -> T a -> T a

(-) :: T a -> T a -> T a

negate :: T a -> T a

C a => C (T a)

Defined in Number.PartiallyTranscendental

Methods

(*) :: T a -> T a -> T a

one :: T a

fromInteger :: Integer -> T a

(^) :: T a -> Integer -> T a

C a => C (T a)

Defined in Number.PartiallyTranscendental

Methods

(/) :: T a -> T a -> T a

recip :: T a -> T a

fromRational' :: Rational -> T a

(^-) :: T a -> Integer -> T a

C a => C (T a)

Defined in Number.PartiallyTranscendental

Methods

sqrt :: T a -> T a

root :: Integer -> T a -> T a

(^/) :: T a -> Rational -> T a

(C a, Eq a) => C (T a)

Defined in Number.PartiallyTranscendental

Methods

pi :: T a

exp :: T a -> T a

log :: T a -> T a

logBase :: T a -> T a -> T a

(**) :: 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

fromValue :: a -> T a

toValue :: T a -> a