.. py:currentmodule:: udft

Discrete Fourier Transform
--------------------------

dftn
~~~~

.. autofunction:: dftn

idftn
~~~~~

.. autofunction:: idftn

dft
~~~

.. autofunction::  dft

idft
~~~~

.. autofunction::  idft

dft2
~~~~

.. autofunction::  dft2

idft2
~~~~~

.. autofunction::  idft2

Real Discrete Fourier Transform
-------------------------------

The transforms here suppose input of real values. In direct transform, the last
transformed axis has length ``N // 2 + 1``.

.. note::

   The exact output shape for real transform can't be guessed from input shape.
   Therefor, only one inverse transform :func:`irdftn` is provided and that
   function ask for the output shape. The dimension `ndim` corresponds to the
   length of shape.

rdftn
~~~~~

.. autofunction:: rdftn

irdftn
~~~~~~

.. autofunction:: irdftn

rdft
~~~~

.. autofunction::  rdft

rdft2
~~~~~

.. autofunction::  rdft2

Convolution related
-------------------

ir2fr
~~~~~

.. autofunction::  ir2fr

fr2ir
~~~~~

.. autofunction::  fr2ir

diff_ir
~~~~~~~

.. autofunction::  diff_ir

laplacian
~~~~~~~~~

.. autofunction::  laplacian

Other
-----

hnorm
~~~~~

.. autofunction::  hnorm

crandn
~~~~~~

.. autofunction::  crandn