| 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.
Synopsis
- 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.
Note that Complex's instances inherit the deficiencies from the type
parameter's. For example, Complex Float's Ord instance has similar
problems to Float's.
Constructors
| !a :+ !a infix 6 | forms a complex number from its real and imaginary rectangular components. |
Instances
Polar form
mkPolar :: Floating a => a -> a -> Complex a Source #
Form a complex number from polar components of magnitude and phase.