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Add FFTW 3.3.8 source, and a Linux build
author Chris Cannam <cannam@all-day-breakfast.com>
date Tue, 19 Nov 2019 14:52:55 +0000
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71 <a name="Guru-vector-and-transform-sizes"></a>
72 <div class="header">
73 <p>
74 Next: <a href="Guru-Complex-DFTs.html#Guru-Complex-DFTs" accesskey="n" rel="next">Guru Complex DFTs</a>, Previous: <a href="Interleaved-and-split-arrays.html#Interleaved-and-split-arrays" accesskey="p" rel="prev">Interleaved and split arrays</a>, Up: <a href="Guru-Interface.html#Guru-Interface" accesskey="u" rel="up">Guru Interface</a> &nbsp; [<a href="index.html#SEC_Contents" title="Table of contents" rel="contents">Contents</a>][<a href="Concept-Index.html#Concept-Index" title="Index" rel="index">Index</a>]</p>
75 </div>
76 <hr>
77 <a name="Guru-vector-and-transform-sizes-1"></a>
78 <h4 class="subsection">4.5.2 Guru vector and transform sizes</h4>
79
80 <p>The guru interface introduces one basic new data structure,
81 <code>fftw_iodim</code>, that is used to specify sizes and strides for
82 multi-dimensional transforms and vectors:
83 </p>
84 <div class="example">
85 <pre class="example">typedef struct {
86 int n;
87 int is;
88 int os;
89 } fftw_iodim;
90 </pre></div>
91 <a name="index-fftw_005fiodim"></a>
92
93 <p>Here, <code>n</code> is the size of the dimension, and <code>is</code> and <code>os</code>
94 are the strides of that dimension for the input and output arrays. (The
95 stride is the separation of consecutive elements along this dimension.)
96 </p>
97 <p>The meaning of the stride parameter depends on the type of the array
98 that the stride refers to. <em>If the array is interleaved complex,
99 strides are expressed in units of complex numbers
100 (<code>fftw_complex</code>). If the array is split complex or real, strides
101 are expressed in units of real numbers (<code>double</code>).</em> This
102 convention is consistent with the usual pointer arithmetic in the C
103 language. An interleaved array is denoted by a pointer <code>p</code> to
104 <code>fftw_complex</code>, so that <code>p+1</code> points to the next complex
105 number. Split arrays are denoted by pointers to <code>double</code>, in
106 which case pointer arithmetic operates in units of
107 <code>sizeof(double)</code>.
108 <a name="index-stride-2"></a>
109 </p>
110
111 <p>The guru planner interfaces all take a (<code>rank</code>, <code>dims[rank]</code>)
112 pair describing the transform size, and a (<code>howmany_rank</code>,
113 <code>howmany_dims[howmany_rank]</code>) pair describing the &ldquo;vector&rdquo; size (a
114 multi-dimensional loop of transforms to perform), where <code>dims</code> and
115 <code>howmany_dims</code> are arrays of <code>fftw_iodim</code>. Each <code>n</code> field must
116 be positive for <code>dims</code> and nonnegative for <code>howmany_dims</code>, while both
117 <code>rank</code> and <code>howmany_rank</code> must be nonnegative.
118 </p>
119 <p>For example, the <code>howmany</code> parameter in the advanced complex-DFT
120 interface corresponds to <code>howmany_rank</code> = 1,
121 <code>howmany_dims[0].n</code> = <code>howmany</code>, <code>howmany_dims[0].is</code> =
122 <code>idist</code>, and <code>howmany_dims[0].os</code> = <code>odist</code>.
123 <a name="index-howmany-loop"></a>
124 <a name="index-dist-1"></a>
125 (To compute a single transform, you can just use <code>howmany_rank</code> = 0.)
126 </p>
127
128 <p>A row-major multidimensional array with dimensions <code>n[rank]</code>
129 (see <a href="Row_002dmajor-Format.html#Row_002dmajor-Format">Row-major Format</a>) corresponds to <code>dims[i].n</code> =
130 <code>n[i]</code> and the recurrence <code>dims[i].is</code> = <code>n[i+1] *
131 dims[i+1].is</code> (similarly for <code>os</code>). The stride of the last
132 (<code>i=rank-1</code>) dimension is the overall stride of the array.
133 e.g. to be equivalent to the advanced complex-DFT interface, you would
134 have <code>dims[rank-1].is</code> = <code>istride</code> and
135 <code>dims[rank-1].os</code> = <code>ostride</code>.
136 <a name="index-row_002dmajor-3"></a>
137 </p>
138
139 <p>In general, we only guarantee FFTW to return a non-<code>NULL</code> plan if
140 the vector and transform dimensions correspond to a set of distinct
141 indices, and for in-place transforms the input/output strides should
142 be the same.
143 </p>
144 <hr>
145 <div class="header">
146 <p>
147 Next: <a href="Guru-Complex-DFTs.html#Guru-Complex-DFTs" accesskey="n" rel="next">Guru Complex DFTs</a>, Previous: <a href="Interleaved-and-split-arrays.html#Interleaved-and-split-arrays" accesskey="p" rel="prev">Interleaved and split arrays</a>, Up: <a href="Guru-Interface.html#Guru-Interface" accesskey="u" rel="up">Guru Interface</a> &nbsp; [<a href="index.html#SEC_Contents" title="Table of contents" rel="contents">Contents</a>][<a href="Concept-Index.html#Concept-Index" title="Index" rel="index">Index</a>]</p>
148 </div>
149
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