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1 <html lang="en">
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2 <head>
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3 <title>MPI Plan Creation - FFTW 3.3.3</title>
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8 <link rel="up" href="FFTW-MPI-Reference.html#FFTW-MPI-Reference" title="FFTW MPI Reference">
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9 <link rel="prev" href="MPI-Data-Distribution-Functions.html#MPI-Data-Distribution-Functions" title="MPI Data Distribution Functions">
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12 <!--
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13 This manual is for FFTW
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14 (version 3.3.3, 25 November 2012).
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15
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16 Copyright (C) 2003 Matteo Frigo.
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17
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18 Copyright (C) 2003 Massachusetts Institute of Technology.
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19
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20 Permission is granted to make and distribute verbatim copies of
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21 this manual provided the copyright notice and this permission
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22 notice are preserved on all copies.
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23
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24 Permission is granted to copy and distribute modified versions of
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25 this manual under the conditions for verbatim copying, provided
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26 that the entire resulting derived work is distributed under the
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27 terms of a permission notice identical to this one.
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28
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29 Permission is granted to copy and distribute translations of this
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30 manual into another language, under the above conditions for
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31 modified versions, except that this permission notice may be
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32 stated in a translation approved by the Free Software Foundation.
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33 -->
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45 --></style>
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46 </head>
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47 <body>
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48 <div class="node">
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49 <a name="MPI-Plan-Creation"></a>
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50 <p>
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51 Next: <a rel="next" accesskey="n" href="MPI-Wisdom-Communication.html#MPI-Wisdom-Communication">MPI Wisdom Communication</a>,
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52 Previous: <a rel="previous" accesskey="p" href="MPI-Data-Distribution-Functions.html#MPI-Data-Distribution-Functions">MPI Data Distribution Functions</a>,
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53 Up: <a rel="up" accesskey="u" href="FFTW-MPI-Reference.html#FFTW-MPI-Reference">FFTW MPI Reference</a>
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54 <hr>
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55 </div>
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56
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57 <h4 class="subsection">6.12.5 MPI Plan Creation</h4>
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58
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59 <h5 class="subsubheading">Complex-data MPI DFTs</h5>
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60
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61 <p>Plans for complex-data DFTs (see <a href="2d-MPI-example.html#g_t2d-MPI-example">2d MPI example</a>) are created by:
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62
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63 <p><a name="index-fftw_005fmpi_005fplan_005fdft_005f1d-461"></a><a name="index-fftw_005fmpi_005fplan_005fdft_005f2d-462"></a><a name="index-fftw_005fmpi_005fplan_005fdft_005f3d-463"></a><a name="index-fftw_005fmpi_005fplan_005fdft-464"></a><a name="index-fftw_005fmpi_005fplan_005fmany_005fdft-465"></a>
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64 <pre class="example"> fftw_plan fftw_mpi_plan_dft_1d(ptrdiff_t n0, fftw_complex *in, fftw_complex *out,
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65 MPI_Comm comm, int sign, unsigned flags);
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66 fftw_plan fftw_mpi_plan_dft_2d(ptrdiff_t n0, ptrdiff_t n1,
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67 fftw_complex *in, fftw_complex *out,
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68 MPI_Comm comm, int sign, unsigned flags);
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69 fftw_plan fftw_mpi_plan_dft_3d(ptrdiff_t n0, ptrdiff_t n1, ptrdiff_t n2,
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70 fftw_complex *in, fftw_complex *out,
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71 MPI_Comm comm, int sign, unsigned flags);
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72 fftw_plan fftw_mpi_plan_dft(int rnk, const ptrdiff_t *n,
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73 fftw_complex *in, fftw_complex *out,
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74 MPI_Comm comm, int sign, unsigned flags);
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75 fftw_plan fftw_mpi_plan_many_dft(int rnk, const ptrdiff_t *n,
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76 ptrdiff_t howmany, ptrdiff_t block, ptrdiff_t tblock,
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77 fftw_complex *in, fftw_complex *out,
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78 MPI_Comm comm, int sign, unsigned flags);
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79 </pre>
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80 <p><a name="index-MPI-communicator-466"></a><a name="index-collective-function-467"></a>These are similar to their serial counterparts (see <a href="Complex-DFTs.html#Complex-DFTs">Complex DFTs</a>)
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81 in specifying the dimensions, sign, and flags of the transform. The
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82 <code>comm</code> argument gives an MPI communicator that specifies the set
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83 of processes to participate in the transform; plan creation is a
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84 collective function that must be called for all processes in the
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85 communicator. The <code>in</code> and <code>out</code> pointers refer only to a
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86 portion of the overall transform data (see <a href="MPI-Data-Distribution.html#MPI-Data-Distribution">MPI Data Distribution</a>)
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87 as specified by the ‘<samp><span class="samp">local_size</span></samp>’ functions in the previous
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88 section. Unless <code>flags</code> contains <code>FFTW_ESTIMATE</code>, these
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89 arrays are overwritten during plan creation as for the serial
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90 interface. For multi-dimensional transforms, any dimensions <code>>
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91 1</code> are supported; for one-dimensional transforms, only composite
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92 (non-prime) <code>n0</code> are currently supported (unlike the serial
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93 FFTW). Requesting an unsupported transform size will yield a
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94 <code>NULL</code> plan. (As in the serial interface, highly composite sizes
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95 generally yield the best performance.)
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96
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97 <p><a name="index-advanced-interface-468"></a><a name="index-FFTW_005fMPI_005fDEFAULT_005fBLOCK-469"></a><a name="index-stride-470"></a>The advanced-interface <code>fftw_mpi_plan_many_dft</code> additionally
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98 allows you to specify the block sizes for the first dimension
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99 (<code>block</code>) of the n<sub>0</sub> × n<sub>1</sub> × n<sub>2</sub> × … × n<sub>d-1</sub> input data and the first dimension
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100 (<code>tblock</code>) of the n<sub>1</sub> × n<sub>0</sub> × n<sub>2</sub> ×…× n<sub>d-1</sub> transposed data (at intermediate
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101 steps of the transform, and for the output if
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102 <code>FFTW_TRANSPOSED_OUT</code> is specified in <code>flags</code>). These must
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103 be the same block sizes as were passed to the corresponding
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104 ‘<samp><span class="samp">local_size</span></samp>’ function; you can pass <code>FFTW_MPI_DEFAULT_BLOCK</code>
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105 to use FFTW's default block size as in the basic interface. Also, the
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106 <code>howmany</code> parameter specifies that the transform is of contiguous
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107 <code>howmany</code>-tuples rather than individual complex numbers; this
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108 corresponds to the same parameter in the serial advanced interface
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109 (see <a href="Advanced-Complex-DFTs.html#Advanced-Complex-DFTs">Advanced Complex DFTs</a>) with <code>stride = howmany</code> and
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110 <code>dist = 1</code>.
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111
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112 <h5 class="subsubheading">MPI flags</h5>
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113
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114 <p>The <code>flags</code> can be any of those for the serial FFTW
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115 (see <a href="Planner-Flags.html#Planner-Flags">Planner Flags</a>), and in addition may include one or more of
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116 the following MPI-specific flags, which improve performance at the
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117 cost of changing the output or input data formats.
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118
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119 <ul>
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120 <li><a name="index-FFTW_005fMPI_005fSCRAMBLED_005fOUT-471"></a><a name="index-FFTW_005fMPI_005fSCRAMBLED_005fIN-472"></a><code>FFTW_MPI_SCRAMBLED_OUT</code>, <code>FFTW_MPI_SCRAMBLED_IN</code>: valid for
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121 1d transforms only, these flags indicate that the output/input of the
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122 transform are in an undocumented “scrambled” order. A forward
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123 <code>FFTW_MPI_SCRAMBLED_OUT</code> transform can be inverted by a backward
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124 <code>FFTW_MPI_SCRAMBLED_IN</code> (times the usual 1/<i>N</i> normalization).
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125 See <a href="One_002ddimensional-distributions.html#One_002ddimensional-distributions">One-dimensional distributions</a>.
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126
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127 <li><a name="index-FFTW_005fMPI_005fTRANSPOSED_005fOUT-473"></a><a name="index-FFTW_005fMPI_005fTRANSPOSED_005fIN-474"></a><code>FFTW_MPI_TRANSPOSED_OUT</code>, <code>FFTW_MPI_TRANSPOSED_IN</code>: valid
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128 for multidimensional (<code>rnk > 1</code>) transforms only, these flags
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129 specify that the output or input of an n<sub>0</sub> × n<sub>1</sub> × n<sub>2</sub> × … × n<sub>d-1</sub> transform is
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130 transposed to n<sub>1</sub> × n<sub>0</sub> × n<sub>2</sub> ×…× n<sub>d-1</sub>. See <a href="Transposed-distributions.html#Transposed-distributions">Transposed distributions</a>.
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131
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132 </ul>
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133
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134 <h5 class="subsubheading">Real-data MPI DFTs</h5>
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135
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136 <p><a name="index-r2c-475"></a>Plans for real-input/output (r2c/c2r) DFTs (see <a href="Multi_002ddimensional-MPI-DFTs-of-Real-Data.html#Multi_002ddimensional-MPI-DFTs-of-Real-Data">Multi-dimensional MPI DFTs of Real Data</a>) are created by:
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137
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138 <p><a name="index-fftw_005fmpi_005fplan_005fdft_005fr2c_005f2d-476"></a><a name="index-fftw_005fmpi_005fplan_005fdft_005fr2c_005f2d-477"></a><a name="index-fftw_005fmpi_005fplan_005fdft_005fr2c_005f3d-478"></a><a name="index-fftw_005fmpi_005fplan_005fdft_005fr2c-479"></a><a name="index-fftw_005fmpi_005fplan_005fdft_005fc2r_005f2d-480"></a><a name="index-fftw_005fmpi_005fplan_005fdft_005fc2r_005f2d-481"></a><a name="index-fftw_005fmpi_005fplan_005fdft_005fc2r_005f3d-482"></a><a name="index-fftw_005fmpi_005fplan_005fdft_005fc2r-483"></a>
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139 <pre class="example"> fftw_plan fftw_mpi_plan_dft_r2c_2d(ptrdiff_t n0, ptrdiff_t n1,
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140 double *in, fftw_complex *out,
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141 MPI_Comm comm, unsigned flags);
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142 fftw_plan fftw_mpi_plan_dft_r2c_2d(ptrdiff_t n0, ptrdiff_t n1,
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143 double *in, fftw_complex *out,
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144 MPI_Comm comm, unsigned flags);
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145 fftw_plan fftw_mpi_plan_dft_r2c_3d(ptrdiff_t n0, ptrdiff_t n1, ptrdiff_t n2,
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146 double *in, fftw_complex *out,
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147 MPI_Comm comm, unsigned flags);
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148 fftw_plan fftw_mpi_plan_dft_r2c(int rnk, const ptrdiff_t *n,
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149 double *in, fftw_complex *out,
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150 MPI_Comm comm, unsigned flags);
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151 fftw_plan fftw_mpi_plan_dft_c2r_2d(ptrdiff_t n0, ptrdiff_t n1,
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152 fftw_complex *in, double *out,
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153 MPI_Comm comm, unsigned flags);
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154 fftw_plan fftw_mpi_plan_dft_c2r_2d(ptrdiff_t n0, ptrdiff_t n1,
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155 fftw_complex *in, double *out,
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156 MPI_Comm comm, unsigned flags);
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157 fftw_plan fftw_mpi_plan_dft_c2r_3d(ptrdiff_t n0, ptrdiff_t n1, ptrdiff_t n2,
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158 fftw_complex *in, double *out,
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159 MPI_Comm comm, unsigned flags);
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160 fftw_plan fftw_mpi_plan_dft_c2r(int rnk, const ptrdiff_t *n,
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161 fftw_complex *in, double *out,
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162 MPI_Comm comm, unsigned flags);
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163 </pre>
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164 <p>Similar to the serial interface (see <a href="Real_002ddata-DFTs.html#Real_002ddata-DFTs">Real-data DFTs</a>), these
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165 transform logically n<sub>0</sub> × n<sub>1</sub> × n<sub>2</sub> × … × n<sub>d-1</sub> real data to/from n<sub>0</sub> × n<sub>1</sub> × n<sub>2</sub> × … × (n<sub>d-1</sub>/2 + 1) complex
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166 data, representing the non-redundant half of the conjugate-symmetry
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167 output of a real-input DFT (see <a href="Multi_002ddimensional-Transforms.html#Multi_002ddimensional-Transforms">Multi-dimensional Transforms</a>).
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168 However, the real array must be stored within a padded n<sub>0</sub> × n<sub>1</sub> × n<sub>2</sub> × … × [2 (n<sub>d-1</sub>/2 + 1)]
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169
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170 <p>array (much like the in-place serial r2c transforms, but here for
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171 out-of-place transforms as well). Currently, only multi-dimensional
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172 (<code>rnk > 1</code>) r2c/c2r transforms are supported (requesting a plan
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173 for <code>rnk = 1</code> will yield <code>NULL</code>). As explained above
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174 (see <a href="Multi_002ddimensional-MPI-DFTs-of-Real-Data.html#Multi_002ddimensional-MPI-DFTs-of-Real-Data">Multi-dimensional MPI DFTs of Real Data</a>), the data
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175 distribution of both the real and complex arrays is given by the
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176 ‘<samp><span class="samp">local_size</span></samp>’ function called for the dimensions of the
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177 <em>complex</em> array. Similar to the other planning functions, the
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178 input and output arrays are overwritten when the plan is created
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179 except in <code>FFTW_ESTIMATE</code> mode.
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180
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181 <p>As for the complex DFTs above, there is an advance interface that
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182 allows you to manually specify block sizes and to transform contiguous
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183 <code>howmany</code>-tuples of real/complex numbers:
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184
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185 <p><a name="index-fftw_005fmpi_005fplan_005fmany_005fdft_005fr2c-484"></a><a name="index-fftw_005fmpi_005fplan_005fmany_005fdft_005fc2r-485"></a>
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186 <pre class="example"> fftw_plan fftw_mpi_plan_many_dft_r2c
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187 (int rnk, const ptrdiff_t *n, ptrdiff_t howmany,
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188 ptrdiff_t iblock, ptrdiff_t oblock,
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189 double *in, fftw_complex *out,
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190 MPI_Comm comm, unsigned flags);
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191 fftw_plan fftw_mpi_plan_many_dft_c2r
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192 (int rnk, const ptrdiff_t *n, ptrdiff_t howmany,
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193 ptrdiff_t iblock, ptrdiff_t oblock,
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194 fftw_complex *in, double *out,
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195 MPI_Comm comm, unsigned flags);
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196 </pre>
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197 <h5 class="subsubheading">MPI r2r transforms</h5>
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198
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199 <p><a name="index-r2r-486"></a>There are corresponding plan-creation routines for r2r
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200 transforms (see <a href="More-DFTs-of-Real-Data.html#More-DFTs-of-Real-Data">More DFTs of Real Data</a>), currently supporting
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201 multidimensional (<code>rnk > 1</code>) transforms only (<code>rnk = 1</code> will
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202 yield a <code>NULL</code> plan):
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203
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204 <pre class="example"> fftw_plan fftw_mpi_plan_r2r_2d(ptrdiff_t n0, ptrdiff_t n1,
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205 double *in, double *out,
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206 MPI_Comm comm,
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207 fftw_r2r_kind kind0, fftw_r2r_kind kind1,
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208 unsigned flags);
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209 fftw_plan fftw_mpi_plan_r2r_3d(ptrdiff_t n0, ptrdiff_t n1, ptrdiff_t n2,
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210 double *in, double *out,
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211 MPI_Comm comm,
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212 fftw_r2r_kind kind0, fftw_r2r_kind kind1, fftw_r2r_kind kind2,
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213 unsigned flags);
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214 fftw_plan fftw_mpi_plan_r2r(int rnk, const ptrdiff_t *n,
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215 double *in, double *out,
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216 MPI_Comm comm, const fftw_r2r_kind *kind,
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217 unsigned flags);
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218 fftw_plan fftw_mpi_plan_many_r2r(int rnk, const ptrdiff_t *n,
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219 ptrdiff_t iblock, ptrdiff_t oblock,
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220 double *in, double *out,
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221 MPI_Comm comm, const fftw_r2r_kind *kind,
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222 unsigned flags);
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223 </pre>
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224 <p>The parameters are much the same as for the complex DFTs above, except
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225 that the arrays are of real numbers (and hence the outputs of the
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226 ‘<samp><span class="samp">local_size</span></samp>’ data-distribution functions should be interpreted as
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227 counts of real rather than complex numbers). Also, the <code>kind</code>
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228 parameters specify the r2r kinds along each dimension as for the
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229 serial interface (see <a href="Real_002dto_002dReal-Transform-Kinds.html#Real_002dto_002dReal-Transform-Kinds">Real-to-Real Transform Kinds</a>). See <a href="Other-Multi_002ddimensional-Real_002ddata-MPI-Transforms.html#Other-Multi_002ddimensional-Real_002ddata-MPI-Transforms">Other Multi-dimensional Real-data MPI Transforms</a>.
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230
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231 <h5 class="subsubheading">MPI transposition</h5>
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232
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233 <p><a name="index-transpose-487"></a>
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234 FFTW also provides routines to plan a transpose of a distributed
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235 <code>n0</code> by <code>n1</code> array of real numbers, or an array of
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236 <code>howmany</code>-tuples of real numbers with specified block sizes
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237 (see <a href="FFTW-MPI-Transposes.html#FFTW-MPI-Transposes">FFTW MPI Transposes</a>):
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238
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239 <p><a name="index-fftw_005fmpi_005fplan_005ftranspose-488"></a><a name="index-fftw_005fmpi_005fplan_005fmany_005ftranspose-489"></a>
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240 <pre class="example"> fftw_plan fftw_mpi_plan_transpose(ptrdiff_t n0, ptrdiff_t n1,
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241 double *in, double *out,
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242 MPI_Comm comm, unsigned flags);
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243 fftw_plan fftw_mpi_plan_many_transpose
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244 (ptrdiff_t n0, ptrdiff_t n1, ptrdiff_t howmany,
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245 ptrdiff_t block0, ptrdiff_t block1,
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246 double *in, double *out, MPI_Comm comm, unsigned flags);
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247 </pre>
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248 <p><a name="index-new_002darray-execution-490"></a><a name="index-fftw_005fmpi_005fexecute_005fr2r-491"></a>These plans are used with the <code>fftw_mpi_execute_r2r</code> new-array
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249 execute function (see <a href="Using-MPI-Plans.html#Using-MPI-Plans">Using MPI Plans</a>), since they count as (rank
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250 zero) r2r plans from FFTW's perspective.
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251
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252 </body></html>
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253
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