diff Lib/fftw-3.2.1/doc/html/.svn/text-base/Guru-Complex-DFTs.html.svn-base @ 15:585caf503ef5 tip

Tidy up for ROLI
author Geogaddi\David <d.m.ronan@qmul.ac.uk>
date Tue, 17 May 2016 18:50:19 +0100
parents 636c989477e7
children
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--- a/Lib/fftw-3.2.1/doc/html/.svn/text-base/Guru-Complex-DFTs.html.svn-base	Wed May 04 11:02:59 2016 +0100
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-<h4 class="subsection">4.5.3 Guru Complex DFTs</h4>
-
-<pre class="example">     fftw_plan fftw_plan_guru_dft(
-          int rank, const fftw_iodim *dims,
-          int howmany_rank, const fftw_iodim *howmany_dims,
-          fftw_complex *in, fftw_complex *out,
-          int sign, unsigned flags);
-     
-     fftw_plan fftw_plan_guru_split_dft(
-          int rank, const fftw_iodim *dims,
-          int howmany_rank, const fftw_iodim *howmany_dims,
-          double *ri, double *ii, double *ro, double *io,
-          unsigned flags);
-</pre>
-   <p><a name="index-fftw_005fplan_005fguru_005fdft-240"></a><a name="index-fftw_005fplan_005fguru_005fsplit_005fdft-241"></a>
-These two functions plan a complex-data, multi-dimensional DFT
-for the interleaved and split format, respectively. 
-Transform dimensions are given by (<code>rank</code>, <code>dims</code>) over a
-multi-dimensional vector (loop) of dimensions (<code>howmany_rank</code>,
-<code>howmany_dims</code>).  <code>dims</code> and <code>howmany_dims</code> should point
-to <code>fftw_iodim</code> arrays of length <code>rank</code> and
-<code>howmany_rank</code>, respectively.
-
-   <p><a name="index-flags-242"></a><code>flags</code> is a bitwise OR (`<samp><span class="samp">|</span></samp>') of zero or more planner flags,
-as defined in <a href="Planner-Flags.html#Planner-Flags">Planner Flags</a>.
-
-   <p>In the <code>fftw_plan_guru_dft</code> function, the pointers <code>in</code> and
-<code>out</code> point to the interleaved input and output arrays,
-respectively.  The sign can be either -1 (=
-<code>FFTW_FORWARD</code>) or +1 (= <code>FFTW_BACKWARD</code>).  If the
-pointers are equal, the transform is in-place.
-
-   <p>In the <code>fftw_plan_guru_split_dft</code> function,
-<code>ri</code> and <code>ii</code> point to the real and imaginary input arrays,
-and <code>ro</code> and <code>io</code> point to the real and imaginary output
-arrays.  The input and output pointers may be the same, indicating an
-in-place transform.  For example, for <code>fftw_complex</code> pointers
-<code>in</code> and <code>out</code>, the corresponding parameters are:
-
-<pre class="example">     ri = (double *) in;
-     ii = (double *) in + 1;
-     ro = (double *) out;
-     io = (double *) out + 1;
-</pre>
-   <p>Because <code>fftw_plan_guru_split_dft</code> accepts split arrays, strides
-are expressed in units of <code>double</code>.  For a contiguous
-<code>fftw_complex</code> array, the overall stride of the transform should
-be 2, the distance between consecutive real parts or between
-consecutive imaginary parts; see <a href="Guru-vector-and-transform-sizes.html#Guru-vector-and-transform-sizes">Guru vector and transform sizes</a>.  Note that the dimension strides are applied equally to the
-real and imaginary parts; real and imaginary arrays with different
-strides are not supported.
-
-   <p>There is no <code>sign</code> parameter in <code>fftw_plan_guru_split_dft</code>. 
-This function always plans for an <code>FFTW_FORWARD</code> transform.  To
-plan for an <code>FFTW_BACKWARD</code> transform, you can exploit the
-identity that the backwards DFT is equal to the forwards DFT with the
-real and imaginary parts swapped.  For example, in the case of the
-<code>fftw_complex</code> arrays above, the <code>FFTW_BACKWARD</code> transform
-is computed by the parameters:
-
-<pre class="example">     ri = (double *) in + 1;
-     ii = (double *) in;
-     ro = (double *) out + 1;
-     io = (double *) out;
-</pre>
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