|
| Data.Complex | | Portability | portable | | Stability | provisional | | Maintainer | libraries@haskell.org |
|
|
|
|
|
| Description |
| Complex numbers.
|
|
| Synopsis |
|
|
|
|
| Rectangular form
|
|
| data Complex a |
Complex numbers are an algebraic type.
For a complex number z, abs z is a number with the magnitude of z,
but oriented in the positive real direction, whereas signum z
has the phase of z, but unit magnitude.
| | Constructors | | (:+) !a !a | forms a complex number from its real and imaginary
rectangular components.
|
|  Instances | |
|
|
| realPart :: RealFloat a => Complex a -> a |
| Extracts the real part of a complex number.
|
|
| imagPart :: RealFloat a => Complex a -> a |
| Extracts the imaginary part of a complex number.
|
|
| Polar form
|
|
| mkPolar :: RealFloat a => a -> a -> Complex a |
| Form a complex number from polar components of magnitude and phase.
|
|
| cis :: RealFloat a => a -> Complex a |
| cis t is a complex value with magnitude 1
and phase t (modulo 2*pi).
|
|
| polar :: RealFloat a => Complex a -> (a, a) |
| The function polar takes a complex number and
returns a (magnitude, phase) pair in canonical form:
the magnitude is nonnegative, and the phase in the range (-pi, pi];
if the magnitude is zero, then so is the phase.
|
|
| magnitude :: RealFloat a => Complex a -> a |
| The nonnegative magnitude of a complex number.
|
|
| phase :: RealFloat a => Complex a -> a |
| The phase of a complex number, in the range (-pi, pi].
If the magnitude is zero, then so is the phase.
|
|
| Conjugate
|
|
| conjugate :: RealFloat a => Complex a -> Complex a |
| The conjugate of a complex number.
|
|
| Produced by Haddock version 0.7 |
