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author Geogaddi\David <d.m.ronan@qmul.ac.uk>
date Wed, 04 May 2016 11:02:59 +0100
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d@0 3 <title>Advanced Real-data DFTs - FFTW 3.2.1</title>
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d@0 50 <a name="Advanced-Real-data-DFTs"></a>
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d@0 57
d@0 58 <h4 class="subsection">4.4.2 Advanced Real-data DFTs</h4>
d@0 59
d@0 60 <pre class="example"> fftw_plan fftw_plan_many_dft_r2c(int rank, const int *n, int howmany,
d@0 61 double *in, const int *inembed,
d@0 62 int istride, int idist,
d@0 63 fftw_complex *out, const int *onembed,
d@0 64 int ostride, int odist,
d@0 65 unsigned flags);
d@0 66 fftw_plan fftw_plan_many_dft_c2r(int rank, const int *n, int howmany,
d@0 67 fftw_complex *in, const int *inembed,
d@0 68 int istride, int idist,
d@0 69 double *out, const int *onembed,
d@0 70 int ostride, int odist,
d@0 71 unsigned flags);
d@0 72 </pre>
d@0 73 <p><a name="index-fftw_005fplan_005fmany_005fdft_005fr2c-228"></a><a name="index-fftw_005fplan_005fmany_005fdft_005fc2r-229"></a>
d@0 74 Like <code>fftw_plan_many_dft</code>, these two functions add <code>howmany</code>,
d@0 75 <code>nembed</code>, <code>stride</code>, and <code>dist</code> parameters to the
d@0 76 <code>fftw_plan_dft_r2c</code> and <code>fftw_plan_dft_c2r</code> functions, but
d@0 77 otherwise behave the same as the basic interface.
d@0 78
d@0 79 <p>The interpretation of <code>howmany</code>, <code>stride</code>, and <code>dist</code> are
d@0 80 the same as for <code>fftw_plan_many_dft</code>, above. Note that the
d@0 81 <code>stride</code> and <code>dist</code> for the real array are in units of
d@0 82 <code>double</code>, and for the complex array are in units of
d@0 83 <code>fftw_complex</code>.
d@0 84
d@0 85 <p>If an <code>nembed</code> parameter is <code>NULL</code>, it is interpreted as what
d@0 86 it would be in the basic interface, as described in <a href="Real_002ddata-DFT-Array-Format.html#Real_002ddata-DFT-Array-Format">Real-data DFT Array Format</a>. That is, for the complex array the size is assumed to be
d@0 87 the same as <code>n</code>, but with the last dimension cut roughly in half.
d@0 88 For the real array, the size is assumed to be <code>n</code> if the transform
d@0 89 is out-of-place, or <code>n</code> with the last dimension &ldquo;padded&rdquo; if the
d@0 90 transform is in-place.
d@0 91
d@0 92 <p>If an <code>nembed</code> parameter is non-<code>NULL</code>, it is interpreted as
d@0 93 the physical size of the corresponding array, in row-major order, just
d@0 94 as for <code>fftw_plan_many_dft</code>. In this case, each dimension of
d@0 95 <code>nembed</code> should be <code>&gt;=</code> what it would be in the basic
d@0 96 interface (e.g. the halved or padded <code>n</code>).
d@0 97
d@0 98 <p>Arrays <code>n</code>, <code>inembed</code>, and <code>onembed</code> are not used after
d@0 99 this function returns. You can safely free or reuse them.
d@0 100
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