Hat.Complex

Documentation

data Complex a

Constructors

!(R a) :+ !(R a)

Instances

WrapVal (Complex a)

Methods

wrapVal :: RefSrcPos -> Complex a -> RefExp -> R (Complex a)

Show a => Show (Complex a)

Methods

gshowsPrec :: RefSrcPos -> RefExp -> R (Fun Int (Fun (Complex a) ShowS))

sshowsPrec :: R (Fun Int (Fun (Complex a) ShowS))

gshow :: RefSrcPos -> RefExp -> R (Fun (Complex a) String)

sshow :: R (Fun (Complex a) String)

gshowList :: RefSrcPos -> RefExp -> R (Fun (List (Complex a)) ShowS)

sshowList :: R (Fun (List (Complex a)) ShowS)

Read a => Read (Complex a)

Methods

greadsPrec :: RefSrcPos -> RefExp -> R (Fun Int (ReadS (Complex a)))

sreadsPrec :: R (Fun Int (ReadS (Complex a)))

greadList :: RefSrcPos -> RefExp -> R (ReadS (List (Complex a)))

sreadList :: R (ReadS (List (Complex a)))

RealFloat a => Floating (Complex a)

Methods

gpi :: RefSrcPos -> RefExp -> R (Complex a)

spi :: R (Complex a)

gexp :: RefSrcPos -> RefExp -> R (Fun (Complex a) (Complex a))

glog :: RefSrcPos -> RefExp -> R (Fun (Complex a) (Complex a))

gsqrt :: RefSrcPos -> RefExp -> R (Fun (Complex a) (Complex a))

sexp :: R (Fun (Complex a) (Complex a))

slog :: R (Fun (Complex a) (Complex a))

ssqrt :: R (Fun (Complex a) (Complex a))

(!**) :: RefSrcPos -> RefExp -> R (Fun (Complex a) (Fun (Complex a) (Complex a)))

glogBase :: RefSrcPos -> RefExp -> R (Fun (Complex a) (Fun (Complex a) (Complex a)))

(|**) :: R (Fun (Complex a) (Fun (Complex a) (Complex a)))

slogBase :: R (Fun (Complex a) (Fun (Complex a) (Complex a)))

gsin :: RefSrcPos -> RefExp -> R (Fun (Complex a) (Complex a))

gcos :: RefSrcPos -> RefExp -> R (Fun (Complex a) (Complex a))

gtan :: RefSrcPos -> RefExp -> R (Fun (Complex a) (Complex a))

ssin :: R (Fun (Complex a) (Complex a))

scos :: R (Fun (Complex a) (Complex a))

stan :: R (Fun (Complex a) (Complex a))

gasin :: RefSrcPos -> RefExp -> R (Fun (Complex a) (Complex a))

gacos :: RefSrcPos -> RefExp -> R (Fun (Complex a) (Complex a))

gatan :: RefSrcPos -> RefExp -> R (Fun (Complex a) (Complex a))

sasin :: R (Fun (Complex a) (Complex a))

sacos :: R (Fun (Complex a) (Complex a))

satan :: R (Fun (Complex a) (Complex a))

gsinh :: RefSrcPos -> RefExp -> R (Fun (Complex a) (Complex a))

gcosh :: RefSrcPos -> RefExp -> R (Fun (Complex a) (Complex a))

gtanh :: RefSrcPos -> RefExp -> R (Fun (Complex a) (Complex a))

ssinh :: R (Fun (Complex a) (Complex a))

scosh :: R (Fun (Complex a) (Complex a))

stanh :: R (Fun (Complex a) (Complex a))

gasinh :: RefSrcPos -> RefExp -> R (Fun (Complex a) (Complex a))

gacosh :: RefSrcPos -> RefExp -> R (Fun (Complex a) (Complex a))

gatanh :: RefSrcPos -> RefExp -> R (Fun (Complex a) (Complex a))

sasinh :: R (Fun (Complex a) (Complex a))

sacosh :: R (Fun (Complex a) (Complex a))

satanh :: R (Fun (Complex a) (Complex a))

RealFloat a => Fractional (Complex a)

Methods

(!/) :: RefSrcPos -> RefExp -> R (Fun (Complex a) (Fun (Complex a) (Complex a)))

(|/) :: R (Fun (Complex a) (Fun (Complex a) (Complex a)))

grecip :: RefSrcPos -> RefExp -> R (Fun (Complex a) (Complex a))

srecip :: R (Fun (Complex a) (Complex a))

gfromRational :: RefSrcPos -> RefExp -> R (Fun Rational (Complex a))

sfromRational :: R (Fun Rational (Complex a))

RealFloat a => Num (Complex a)

Methods

(!+) :: RefSrcPos -> RefExp -> R (Fun (Complex a) (Fun (Complex a) (Complex a)))

(!-) :: RefSrcPos -> RefExp -> R (Fun (Complex a) (Fun (Complex a) (Complex a)))

(!*) :: RefSrcPos -> RefExp -> R (Fun (Complex a) (Fun (Complex a) (Complex a)))

(|+) :: R (Fun (Complex a) (Fun (Complex a) (Complex a)))

(|-) :: R (Fun (Complex a) (Fun (Complex a) (Complex a)))

(|*) :: R (Fun (Complex a) (Fun (Complex a) (Complex a)))

gnegate :: RefSrcPos -> RefExp -> R (Fun (Complex a) (Complex a))

snegate :: R (Fun (Complex a) (Complex a))

gabs :: RefSrcPos -> RefExp -> R (Fun (Complex a) (Complex a))

gsignum :: RefSrcPos -> RefExp -> R (Fun (Complex a) (Complex a))

sabs :: R (Fun (Complex a) (Complex a))

ssignum :: R (Fun (Complex a) (Complex a))

gfromInteger :: RefSrcPos -> RefExp -> R (Fun Integer (Complex a))

sfromInteger :: R (Fun Integer (Complex a))

Eq a => Eq (Complex a)

Methods

(!==) :: RefSrcPos -> RefExp -> R (Fun (Complex a) (Fun (Complex a) Bool))

(!/=) :: RefSrcPos -> RefExp -> R (Fun (Complex a) (Fun (Complex a) Bool))

(|==) :: R (Fun (Complex a) (Fun (Complex a) Bool))

(|/=) :: R (Fun (Complex a) (Fun (Complex a) Bool))

(+:+) :: RefAtom

grealPart :: RealFloat a => RefSrcPos -> RefExp -> R (Fun (Complex a) a)

arealPart :: RefAtom

hrealPart :: RealFloat a => R (Complex a) -> RefExp -> R a

gimagPart :: RealFloat a => RefSrcPos -> RefExp -> R (Fun (Complex a) a)

aimagPart :: RefAtom

himagPart :: RealFloat a => R (Complex a) -> RefExp -> R a

gconjugate :: RealFloat a => RefSrcPos -> RefExp -> R (Fun (Complex a) (Complex a))

aconjugate :: RefAtom

hconjugate :: RealFloat a => R (Complex a) -> RefExp -> R (Complex a)

gmkPolar :: RealFloat a => RefSrcPos -> RefExp -> R (Fun a (Fun a (Complex a)))

amkPolar :: RefAtom

hmkPolar :: RealFloat a => R a -> R a -> RefExp -> R (Complex a)

gcis :: RealFloat a => RefSrcPos -> RefExp -> R (Fun a (Complex a))

acis :: RefAtom

hcis :: RealFloat a => R a -> RefExp -> R (Complex a)

gpolar :: RealFloat a => RefSrcPos -> RefExp -> R (Fun (Complex a) (Tuple2 a a))

apolar :: RefAtom

hpolar :: RealFloat a => R (Complex a) -> RefExp -> R (Tuple2 a a)

gmagnitude :: RealFloat a => RefSrcPos -> RefExp -> R (Fun (Complex a) a)

amagnitude :: RefAtom

hmagnitude :: RealFloat a => R (Complex a) -> RefExp -> R a

gphase :: RealFloat a => RefSrcPos -> RefExp -> R (Fun (Complex a) a)

aphase :: RefAtom

hphase :: RealFloat a => R (Complex a) -> RefExp -> R a