2014-10-31 18:21:37 -04:00
|
|
|
:mod:`cmath` -- mathematical functions for complex numbers
|
|
|
|
|
==========================================================
|
2014-10-30 21:37:19 -04:00
|
|
|
|
|
|
|
|
.. module:: cmath
|
|
|
|
|
:synopsis: mathematical functions for complex numbers
|
|
|
|
|
|
|
|
|
|
The ``cmath`` module provides some basic mathematical funtions for
|
|
|
|
|
working with complex numbers.
|
|
|
|
|
|
|
|
|
|
Functions
|
|
|
|
|
---------
|
|
|
|
|
|
|
|
|
|
.. function:: cos(z)
|
|
|
|
|
|
|
|
|
|
Return the cosine of ``z``.
|
|
|
|
|
|
|
|
|
|
.. function:: exp(z)
|
|
|
|
|
|
|
|
|
|
Return the exponential of ``z``.
|
|
|
|
|
|
|
|
|
|
.. function:: log(z)
|
|
|
|
|
|
|
|
|
|
Return the natural logarithm of ``z``. The branch cut is along the negative real axis.
|
|
|
|
|
|
|
|
|
|
.. function:: log10(z)
|
|
|
|
|
|
|
|
|
|
Return the base-10 logarithm of ``z``. The branch cut is along the negative real axis.
|
|
|
|
|
|
|
|
|
|
.. function:: phase(z)
|
|
|
|
|
|
|
|
|
|
Returns the phase of the number ``z``, in the range (-pi, +pi].
|
|
|
|
|
|
|
|
|
|
.. function:: polar(z)
|
|
|
|
|
|
|
|
|
|
Returns, as a tuple, the polar form of ``z``.
|
|
|
|
|
|
|
|
|
|
.. function:: rect(r, phi)
|
|
|
|
|
|
|
|
|
|
Returns the complex number with modulus ``r`` and phase ``phi``.
|
|
|
|
|
|
|
|
|
|
.. function:: sin(z)
|
|
|
|
|
|
|
|
|
|
Return the sine of ``z``.
|
|
|
|
|
|
|
|
|
|
.. function:: sqrt(z)
|
|
|
|
|
|
|
|
|
|
Return the square-root of ``z``.
|
|
|
|
|
|
|
|
|
|
Constants
|
|
|
|
|
---------
|
|
|
|
|
|
|
|
|
|
.. data:: e
|
|
|
|
|
|
|
|
|
|
base of the natural logarithm
|
|
|
|
|
|
|
|
|
|
.. data:: pi
|
|
|
|
|
|
|
|
|
|
the ratio of a circle's circumference to its diameter
|
