| Copyright | (c) The University of Glasgow 2001 |
|---|---|
| License | BSD-style (see the file libraries/base/LICENSE) |
| Maintainer | libraries@haskell.org |
| Stability | provisional |
| Portability | portable |
| Safe Haskell | Trustworthy |
| Language | Haskell2010 |
Data.Complex
Description
Complex numbers.
- data Complex a = !a :+ !a
- realPart :: Complex a -> a
- imagPart :: Complex a -> a
- mkPolar :: Floating a => a -> a -> Complex a
- cis :: Floating a => a -> Complex a
- polar :: RealFloat a => Complex a -> (a, a)
- magnitude :: RealFloat a => Complex a -> a
- phase :: RealFloat a => Complex a -> a
- conjugate :: Num a => Complex a -> Complex a
Rectangular form
Complex numbers are an algebraic type.
For a complex number z, abs zz,
but oriented in the positive real direction, whereas signum zz, but unit magnitude.
The Foldable and Traversable instances traverse the real part first.
Constructors
| !a :+ !a infix 6 | forms a complex number from its real and imaginary rectangular components. |
Instances
| Monad Complex # | |
| Functor Complex # | |
| Applicative Complex # | |
| Foldable Complex # | |
| Traversable Complex # | |
| Generic1 Complex # | |
| Eq a => Eq (Complex a) # | |
| RealFloat a => Floating (Complex a) # | |
| RealFloat a => Fractional (Complex a) # | |
| Data a => Data (Complex a) # | |
| RealFloat a => Num (Complex a) # | |
| Read a => Read (Complex a) # | |
| Show a => Show (Complex a) # | |
| Generic (Complex a) # | |
| Storable a => Storable (Complex a) # | |
| type Rep1 Complex # | |
| type Rep (Complex a) # | |
Polar form
mkPolar :: Floating a => a -> a -> Complex a Source #
Form a complex number from polar components of magnitude and phase.