6.6.2.1 ComplexNumber Objects

class ComplexNumber
A complex number.
ComplexNumber( real, [imag=53], [prec=None])

Instances of class ComplexNumber have the following methods (in addition to inherited methods and special methods):

arg,$  $ argument,$  $ conjugate,$  $ exp,$  $ imag,$  $ log,$  $ norm,$  $ order,$  $ prec,$  $ real,$  $ sqrt

Further documentation:

arg( )

Same as argument.

argument( )

The argument (angle) of the complex number, normalized so that -pi < arg <= pi.

WARNING: We use the floating point atan function, so there is precision loss.

exp( [prec=None])

Compute exp(z) using Fourier series.

If prec is given, compute until the nth summand is less than $ 10^{-prec}$ .

log( )

Complex logarithm of z with branch chosen as follows: Write z = rho*exp(i*theta) with -pi <= theta < pi. Then log(z) = log(rho) + i*theta.

WARNING: Currently the real log is computed using floats, so there is potential precision loss.

Instances of class ComplexNumber also have the following special methods:

__abs__,$  $ __add__,$  $ __cmp__,$  $ __complex__,$  $ __div__,$  $ __float__,$  $ __int__,$  $ __invert__,$  $ __long__,$  $ __mul__,$  $ __neg__,$  $ __pos__,$  $ __pow__,$  $ __rdiv__,$  $ __repr__,$  $ __sub__,$  $ _pari_

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