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| Data.Complex | | Portability | portable | | Stability | provisional | | Maintainer | libraries@haskell.org |
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| Description |
| Complex numbers.
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| Synopsis |
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| Rectangular form
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| 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.
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|  Instances | |
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| realPart :: RealFloat a => Complex a -> a |
| Extracts the real part of a complex number.
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| imagPart :: RealFloat a => Complex a -> a |
| Extracts the imaginary part of a complex number.
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| Polar form
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| mkPolar :: RealFloat a => a -> a -> Complex a |
| Form a complex number from polar components of magnitude and phase.
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| cis :: RealFloat a => a -> Complex a |
| cis t is a complex value with magnitude 1
and phase t (modulo 2*pi).
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| 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.
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| magnitude :: RealFloat a => Complex a -> a |
| The nonnegative magnitude of a complex number.
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| 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.
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| Conjugate
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| conjugate :: RealFloat a => Complex a -> Complex a |
| The conjugate of a complex number.
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| Produced by Haddock version 0.8 |
