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1 <!DOCTYPE html PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN" "http://www.w3.org/TR/html4/loose.dtd">
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2 <html>
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3 <!-- This manual is for FFTW
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4 (version 3.3.5, 30 July 2016).
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5
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6 Copyright (C) 2003 Matteo Frigo.
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7
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8 Copyright (C) 2003 Massachusetts Institute of Technology.
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9
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10 Permission is granted to make and distribute verbatim copies of this
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11 manual provided the copyright notice and this permission notice are
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12 preserved on all copies.
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13
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14 Permission is granted to copy and distribute modified versions of this
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15 manual under the conditions for verbatim copying, provided that the
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16 entire resulting derived work is distributed under the terms of a
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17 permission notice identical to this one.
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18
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19 Permission is granted to copy and distribute translations of this manual
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20 into another language, under the above conditions for modified versions,
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22 approved by the Free Software Foundation. -->
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23 <!-- Created by GNU Texinfo 5.2, http://www.gnu.org/software/texinfo/ -->
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24 <head>
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25 <title>FFTW 3.3.5: Advanced Real-data DFTs</title>
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26
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27 <meta name="description" content="FFTW 3.3.5: Advanced Real-data DFTs">
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28 <meta name="keywords" content="FFTW 3.3.5: Advanced Real-data DFTs">
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33 <link href="index.html#Top" rel="start" title="Top">
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34 <link href="Concept-Index.html#Concept-Index" rel="index" title="Concept Index">
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35 <link href="index.html#SEC_Contents" rel="contents" title="Table of Contents">
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36 <link href="Advanced-Interface.html#Advanced-Interface" rel="up" title="Advanced Interface">
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37 <link href="Advanced-Real_002dto_002dreal-Transforms.html#Advanced-Real_002dto_002dreal-Transforms" rel="next" title="Advanced Real-to-real Transforms">
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38 <link href="Advanced-Complex-DFTs.html#Advanced-Complex-DFTs" rel="prev" title="Advanced Complex DFTs">
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65 -->
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66 </style>
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67
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68
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69 </head>
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70
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71 <body lang="en" bgcolor="#FFFFFF" text="#000000" link="#0000FF" vlink="#800080" alink="#FF0000">
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72 <a name="Advanced-Real_002ddata-DFTs"></a>
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73 <div class="header">
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74 <p>
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75 Next: <a href="Advanced-Real_002dto_002dreal-Transforms.html#Advanced-Real_002dto_002dreal-Transforms" accesskey="n" rel="next">Advanced Real-to-real Transforms</a>, Previous: <a href="Advanced-Complex-DFTs.html#Advanced-Complex-DFTs" accesskey="p" rel="prev">Advanced Complex DFTs</a>, Up: <a href="Advanced-Interface.html#Advanced-Interface" accesskey="u" rel="up">Advanced Interface</a> [<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>
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76 </div>
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77 <hr>
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78 <a name="Advanced-Real_002ddata-DFTs-1"></a>
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79 <h4 class="subsection">4.4.2 Advanced Real-data DFTs</h4>
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80
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81 <div class="example">
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82 <pre class="example">fftw_plan fftw_plan_many_dft_r2c(int rank, const int *n, int howmany,
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83 double *in, const int *inembed,
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84 int istride, int idist,
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85 fftw_complex *out, const int *onembed,
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86 int ostride, int odist,
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87 unsigned flags);
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88 fftw_plan fftw_plan_many_dft_c2r(int rank, const int *n, int howmany,
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89 fftw_complex *in, const int *inembed,
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90 int istride, int idist,
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91 double *out, const int *onembed,
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92 int ostride, int odist,
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93 unsigned flags);
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94 </pre></div>
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95 <a name="index-fftw_005fplan_005fmany_005fdft_005fr2c"></a>
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96 <a name="index-fftw_005fplan_005fmany_005fdft_005fc2r"></a>
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97
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98 <p>Like <code>fftw_plan_many_dft</code>, these two functions add <code>howmany</code>,
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99 <code>nembed</code>, <code>stride</code>, and <code>dist</code> parameters to the
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100 <code>fftw_plan_dft_r2c</code> and <code>fftw_plan_dft_c2r</code> functions, but
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101 otherwise behave the same as the basic interface.
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102 </p>
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103 <p>The interpretation of <code>howmany</code>, <code>stride</code>, and <code>dist</code> are
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104 the same as for <code>fftw_plan_many_dft</code>, above. Note that the
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105 <code>stride</code> and <code>dist</code> for the real array are in units of
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106 <code>double</code>, and for the complex array are in units of
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107 <code>fftw_complex</code>.
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108 </p>
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109 <p>If an <code>nembed</code> parameter is <code>NULL</code>, it is interpreted as what
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110 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
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111 the same as <code>n</code>, but with the last dimension cut roughly in half.
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112 For the real array, the size is assumed to be <code>n</code> if the transform
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113 is out-of-place, or <code>n</code> with the last dimension “padded” if the
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114 transform is in-place.
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115 </p>
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116 <p>If an <code>nembed</code> parameter is non-<code>NULL</code>, it is interpreted as
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117 the physical size of the corresponding array, in row-major order, just
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118 as for <code>fftw_plan_many_dft</code>. In this case, each dimension of
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119 <code>nembed</code> should be <code>>=</code> what it would be in the basic
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120 interface (e.g. the halved or padded <code>n</code>).
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121 </p>
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122 <p>Arrays <code>n</code>, <code>inembed</code>, and <code>onembed</code> are not used after
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123 this function returns. You can safely free or reuse them.
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124 </p>
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125 <hr>
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126 <div class="header">
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127 <p>
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128 Next: <a href="Advanced-Real_002dto_002dreal-Transforms.html#Advanced-Real_002dto_002dreal-Transforms" accesskey="n" rel="next">Advanced Real-to-real Transforms</a>, Previous: <a href="Advanced-Complex-DFTs.html#Advanced-Complex-DFTs" accesskey="p" rel="prev">Advanced Complex DFTs</a>, Up: <a href="Advanced-Interface.html#Advanced-Interface" accesskey="u" rel="up">Advanced Interface</a> [<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>
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129 </div>
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130
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131
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132
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133 </body>
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134 </html>
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