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Add FFTW 3.3.8 source, and a Linux build
| author | Chris Cannam <cannam@all-day-breakfast.com> |
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| date | Tue, 19 Nov 2019 14:52:55 +0000 |
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| 1 <!DOCTYPE html PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN" "http://www.w3.org/TR/html4/loose.dtd"> | |
| 2 <html> | |
| 3 <!-- This manual is for FFTW | |
| 4 (version 3.3.8, 24 May 2018). | |
| 5 | |
| 6 Copyright (C) 2003 Matteo Frigo. | |
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| 8 Copyright (C) 2003 Massachusetts Institute of Technology. | |
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| 24 <head> | |
| 25 <title>FFTW 3.3.8: MPI Plan Creation</title> | |
| 26 | |
| 27 <meta name="description" content="FFTW 3.3.8: MPI Plan Creation"> | |
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| 35 <link href="index.html#SEC_Contents" rel="contents" title="Table of Contents"> | |
| 36 <link href="FFTW-MPI-Reference.html#FFTW-MPI-Reference" rel="up" title="FFTW MPI Reference"> | |
| 37 <link href="MPI-Wisdom-Communication.html#MPI-Wisdom-Communication" rel="next" title="MPI Wisdom Communication"> | |
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| 65 </style> | |
| 66 | |
| 67 | |
| 68 </head> | |
| 69 | |
| 70 <body lang="en"> | |
| 71 <a name="MPI-Plan-Creation"></a> | |
| 72 <div class="header"> | |
| 73 <p> | |
| 74 Next: <a href="MPI-Wisdom-Communication.html#MPI-Wisdom-Communication" accesskey="n" rel="next">MPI Wisdom Communication</a>, Previous: <a href="MPI-Data-Distribution-Functions.html#MPI-Data-Distribution-Functions" accesskey="p" rel="prev">MPI Data Distribution Functions</a>, Up: <a href="FFTW-MPI-Reference.html#FFTW-MPI-Reference" accesskey="u" rel="up">FFTW MPI Reference</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> | |
| 75 </div> | |
| 76 <hr> | |
| 77 <a name="MPI-Plan-Creation-1"></a> | |
| 78 <h4 class="subsection">6.12.5 MPI Plan Creation</h4> | |
| 79 | |
| 80 <a name="Complex_002ddata-MPI-DFTs"></a> | |
| 81 <h4 class="subsubheading">Complex-data MPI DFTs</h4> | |
| 82 | |
| 83 <p>Plans for complex-data DFTs (see <a href="2d-MPI-example.html#g_t2d-MPI-example">2d MPI example</a>) are created by: | |
| 84 </p> | |
| 85 <a name="index-fftw_005fmpi_005fplan_005fdft_005f1d"></a> | |
| 86 <a name="index-fftw_005fmpi_005fplan_005fdft_005f2d-1"></a> | |
| 87 <a name="index-fftw_005fmpi_005fplan_005fdft_005f3d"></a> | |
| 88 <a name="index-fftw_005fmpi_005fplan_005fdft"></a> | |
| 89 <a name="index-fftw_005fmpi_005fplan_005fmany_005fdft"></a> | |
| 90 <div class="example"> | |
| 91 <pre class="example">fftw_plan fftw_mpi_plan_dft_1d(ptrdiff_t n0, fftw_complex *in, fftw_complex *out, | |
| 92 MPI_Comm comm, int sign, unsigned flags); | |
| 93 fftw_plan fftw_mpi_plan_dft_2d(ptrdiff_t n0, ptrdiff_t n1, | |
| 94 fftw_complex *in, fftw_complex *out, | |
| 95 MPI_Comm comm, int sign, unsigned flags); | |
| 96 fftw_plan fftw_mpi_plan_dft_3d(ptrdiff_t n0, ptrdiff_t n1, ptrdiff_t n2, | |
| 97 fftw_complex *in, fftw_complex *out, | |
| 98 MPI_Comm comm, int sign, unsigned flags); | |
| 99 fftw_plan fftw_mpi_plan_dft(int rnk, const ptrdiff_t *n, | |
| 100 fftw_complex *in, fftw_complex *out, | |
| 101 MPI_Comm comm, int sign, unsigned flags); | |
| 102 fftw_plan fftw_mpi_plan_many_dft(int rnk, const ptrdiff_t *n, | |
| 103 ptrdiff_t howmany, ptrdiff_t block, ptrdiff_t tblock, | |
| 104 fftw_complex *in, fftw_complex *out, | |
| 105 MPI_Comm comm, int sign, unsigned flags); | |
| 106 </pre></div> | |
| 107 | |
| 108 <a name="index-MPI-communicator-2"></a> | |
| 109 <a name="index-collective-function-4"></a> | |
| 110 <p>These are similar to their serial counterparts (see <a href="Complex-DFTs.html#Complex-DFTs">Complex DFTs</a>) | |
| 111 in specifying the dimensions, sign, and flags of the transform. The | |
| 112 <code>comm</code> argument gives an MPI communicator that specifies the set | |
| 113 of processes to participate in the transform; plan creation is a | |
| 114 collective function that must be called for all processes in the | |
| 115 communicator. The <code>in</code> and <code>out</code> pointers refer only to a | |
| 116 portion of the overall transform data (see <a href="MPI-Data-Distribution.html#MPI-Data-Distribution">MPI Data Distribution</a>) | |
| 117 as specified by the ‘<samp>local_size</samp>’ functions in the previous | |
| 118 section. Unless <code>flags</code> contains <code>FFTW_ESTIMATE</code>, these | |
| 119 arrays are overwritten during plan creation as for the serial | |
| 120 interface. For multi-dimensional transforms, any dimensions <code>> | |
| 121 1</code> are supported; for one-dimensional transforms, only composite | |
| 122 (non-prime) <code>n0</code> are currently supported (unlike the serial | |
| 123 FFTW). Requesting an unsupported transform size will yield a | |
| 124 <code>NULL</code> plan. (As in the serial interface, highly composite sizes | |
| 125 generally yield the best performance.) | |
| 126 </p> | |
| 127 <a name="index-advanced-interface-6"></a> | |
| 128 <a name="index-FFTW_005fMPI_005fDEFAULT_005fBLOCK-2"></a> | |
| 129 <a name="index-stride-3"></a> | |
| 130 <p>The advanced-interface <code>fftw_mpi_plan_many_dft</code> additionally | |
| 131 allows you to specify the block sizes for the first dimension | |
| 132 (<code>block</code>) of the n<sub>0</sub> × n<sub>1</sub> × n<sub>2</sub> × … × n<sub>d-1</sub> | |
| 133 input data and the first dimension | |
| 134 (<code>tblock</code>) of the n<sub>1</sub> × n<sub>0</sub> × n<sub>2</sub> ×…× n<sub>d-1</sub> | |
| 135 transposed data (at intermediate | |
| 136 steps of the transform, and for the output if | |
| 137 <code>FFTW_TRANSPOSED_OUT</code> is specified in <code>flags</code>). These must | |
| 138 be the same block sizes as were passed to the corresponding | |
| 139 ‘<samp>local_size</samp>’ function; you can pass <code>FFTW_MPI_DEFAULT_BLOCK</code> | |
| 140 to use FFTW’s default block size as in the basic interface. Also, the | |
| 141 <code>howmany</code> parameter specifies that the transform is of contiguous | |
| 142 <code>howmany</code>-tuples rather than individual complex numbers; this | |
| 143 corresponds to the same parameter in the serial advanced interface | |
| 144 (see <a href="Advanced-Complex-DFTs.html#Advanced-Complex-DFTs">Advanced Complex DFTs</a>) with <code>stride = howmany</code> and | |
| 145 <code>dist = 1</code>. | |
| 146 </p> | |
| 147 <a name="MPI-flags"></a> | |
| 148 <h4 class="subsubheading">MPI flags</h4> | |
| 149 | |
| 150 <p>The <code>flags</code> can be any of those for the serial FFTW | |
| 151 (see <a href="Planner-Flags.html#Planner-Flags">Planner Flags</a>), and in addition may include one or more of | |
| 152 the following MPI-specific flags, which improve performance at the | |
| 153 cost of changing the output or input data formats. | |
| 154 </p> | |
| 155 <ul> | |
| 156 <li> <a name="index-FFTW_005fMPI_005fSCRAMBLED_005fOUT-2"></a> | |
| 157 <a name="index-FFTW_005fMPI_005fSCRAMBLED_005fIN-2"></a> | |
| 158 <code>FFTW_MPI_SCRAMBLED_OUT</code>, <code>FFTW_MPI_SCRAMBLED_IN</code>: valid for | |
| 159 1d transforms only, these flags indicate that the output/input of the | |
| 160 transform are in an undocumented “scrambled” order. A forward | |
| 161 <code>FFTW_MPI_SCRAMBLED_OUT</code> transform can be inverted by a backward | |
| 162 <code>FFTW_MPI_SCRAMBLED_IN</code> (times the usual 1/<i>N</i> normalization). | |
| 163 See <a href="One_002ddimensional-distributions.html#One_002ddimensional-distributions">One-dimensional distributions</a>. | |
| 164 | |
| 165 </li><li> <a name="index-FFTW_005fMPI_005fTRANSPOSED_005fOUT-2"></a> | |
| 166 <a name="index-FFTW_005fMPI_005fTRANSPOSED_005fIN-2"></a> | |
| 167 <code>FFTW_MPI_TRANSPOSED_OUT</code>, <code>FFTW_MPI_TRANSPOSED_IN</code>: valid | |
| 168 for multidimensional (<code>rnk > 1</code>) transforms only, these flags | |
| 169 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> | |
| 170 transform is | |
| 171 transposed to n<sub>1</sub> × n<sub>0</sub> × n<sub>2</sub> ×…× n<sub>d-1</sub> | |
| 172 . See <a href="Transposed-distributions.html#Transposed-distributions">Transposed distributions</a>. | |
| 173 | |
| 174 </li></ul> | |
| 175 | |
| 176 <a name="Real_002ddata-MPI-DFTs"></a> | |
| 177 <h4 class="subsubheading">Real-data MPI DFTs</h4> | |
| 178 | |
| 179 <a name="index-r2c-4"></a> | |
| 180 <p>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: | |
| 181 </p> | |
| 182 <a name="index-fftw_005fmpi_005fplan_005fdft_005fr2c_005f2d"></a> | |
| 183 <a name="index-fftw_005fmpi_005fplan_005fdft_005fr2c_005f2d-1"></a> | |
| 184 <a name="index-fftw_005fmpi_005fplan_005fdft_005fr2c_005f3d"></a> | |
| 185 <a name="index-fftw_005fmpi_005fplan_005fdft_005fr2c"></a> | |
| 186 <a name="index-fftw_005fmpi_005fplan_005fdft_005fc2r_005f2d"></a> | |
| 187 <a name="index-fftw_005fmpi_005fplan_005fdft_005fc2r_005f2d-1"></a> | |
| 188 <a name="index-fftw_005fmpi_005fplan_005fdft_005fc2r_005f3d"></a> | |
| 189 <a name="index-fftw_005fmpi_005fplan_005fdft_005fc2r"></a> | |
| 190 <div class="example"> | |
| 191 <pre class="example">fftw_plan fftw_mpi_plan_dft_r2c_2d(ptrdiff_t n0, ptrdiff_t n1, | |
| 192 double *in, fftw_complex *out, | |
| 193 MPI_Comm comm, unsigned flags); | |
| 194 fftw_plan fftw_mpi_plan_dft_r2c_2d(ptrdiff_t n0, ptrdiff_t n1, | |
| 195 double *in, fftw_complex *out, | |
| 196 MPI_Comm comm, unsigned flags); | |
| 197 fftw_plan fftw_mpi_plan_dft_r2c_3d(ptrdiff_t n0, ptrdiff_t n1, ptrdiff_t n2, | |
| 198 double *in, fftw_complex *out, | |
| 199 MPI_Comm comm, unsigned flags); | |
| 200 fftw_plan fftw_mpi_plan_dft_r2c(int rnk, const ptrdiff_t *n, | |
| 201 double *in, fftw_complex *out, | |
| 202 MPI_Comm comm, unsigned flags); | |
| 203 fftw_plan fftw_mpi_plan_dft_c2r_2d(ptrdiff_t n0, ptrdiff_t n1, | |
| 204 fftw_complex *in, double *out, | |
| 205 MPI_Comm comm, unsigned flags); | |
| 206 fftw_plan fftw_mpi_plan_dft_c2r_2d(ptrdiff_t n0, ptrdiff_t n1, | |
| 207 fftw_complex *in, double *out, | |
| 208 MPI_Comm comm, unsigned flags); | |
| 209 fftw_plan fftw_mpi_plan_dft_c2r_3d(ptrdiff_t n0, ptrdiff_t n1, ptrdiff_t n2, | |
| 210 fftw_complex *in, double *out, | |
| 211 MPI_Comm comm, unsigned flags); | |
| 212 fftw_plan fftw_mpi_plan_dft_c2r(int rnk, const ptrdiff_t *n, | |
| 213 fftw_complex *in, double *out, | |
| 214 MPI_Comm comm, unsigned flags); | |
| 215 </pre></div> | |
| 216 | |
| 217 <p>Similar to the serial interface (see <a href="Real_002ddata-DFTs.html#Real_002ddata-DFTs">Real-data DFTs</a>), these | |
| 218 transform logically n<sub>0</sub> × n<sub>1</sub> × n<sub>2</sub> × … × n<sub>d-1</sub> | |
| 219 real data to/from n<sub>0</sub> × n<sub>1</sub> × n<sub>2</sub> × … × (n<sub>d-1</sub>/2 + 1) | |
| 220 complex | |
| 221 data, representing the non-redundant half of the conjugate-symmetry | |
| 222 output of a real-input DFT (see <a href="Multi_002ddimensional-Transforms.html#Multi_002ddimensional-Transforms">Multi-dimensional Transforms</a>). | |
| 223 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)] | |
| 224 | |
| 225 array (much like the in-place serial r2c transforms, but here for | |
| 226 out-of-place transforms as well). Currently, only multi-dimensional | |
| 227 (<code>rnk > 1</code>) r2c/c2r transforms are supported (requesting a plan | |
| 228 for <code>rnk = 1</code> will yield <code>NULL</code>). As explained above | |
| 229 (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 | |
| 230 distribution of both the real and complex arrays is given by the | |
| 231 ‘<samp>local_size</samp>’ function called for the dimensions of the | |
| 232 <em>complex</em> array. Similar to the other planning functions, the | |
| 233 input and output arrays are overwritten when the plan is created | |
| 234 except in <code>FFTW_ESTIMATE</code> mode. | |
| 235 </p> | |
| 236 <p>As for the complex DFTs above, there is an advance interface that | |
| 237 allows you to manually specify block sizes and to transform contiguous | |
| 238 <code>howmany</code>-tuples of real/complex numbers: | |
| 239 </p> | |
| 240 <a name="index-fftw_005fmpi_005fplan_005fmany_005fdft_005fr2c"></a> | |
| 241 <a name="index-fftw_005fmpi_005fplan_005fmany_005fdft_005fc2r"></a> | |
| 242 <div class="example"> | |
| 243 <pre class="example">fftw_plan fftw_mpi_plan_many_dft_r2c | |
| 244 (int rnk, const ptrdiff_t *n, ptrdiff_t howmany, | |
| 245 ptrdiff_t iblock, ptrdiff_t oblock, | |
| 246 double *in, fftw_complex *out, | |
| 247 MPI_Comm comm, unsigned flags); | |
| 248 fftw_plan fftw_mpi_plan_many_dft_c2r | |
| 249 (int rnk, const ptrdiff_t *n, ptrdiff_t howmany, | |
| 250 ptrdiff_t iblock, ptrdiff_t oblock, | |
| 251 fftw_complex *in, double *out, | |
| 252 MPI_Comm comm, unsigned flags); | |
| 253 </pre></div> | |
| 254 | |
| 255 <a name="MPI-r2r-transforms"></a> | |
| 256 <h4 class="subsubheading">MPI r2r transforms</h4> | |
| 257 | |
| 258 <a name="index-r2r-4"></a> | |
| 259 <p>There are corresponding plan-creation routines for r2r | |
| 260 transforms (see <a href="More-DFTs-of-Real-Data.html#More-DFTs-of-Real-Data">More DFTs of Real Data</a>), currently supporting | |
| 261 multidimensional (<code>rnk > 1</code>) transforms only (<code>rnk = 1</code> will | |
| 262 yield a <code>NULL</code> plan): | |
| 263 </p> | |
| 264 <div class="example"> | |
| 265 <pre class="example">fftw_plan fftw_mpi_plan_r2r_2d(ptrdiff_t n0, ptrdiff_t n1, | |
| 266 double *in, double *out, | |
| 267 MPI_Comm comm, | |
| 268 fftw_r2r_kind kind0, fftw_r2r_kind kind1, | |
| 269 unsigned flags); | |
| 270 fftw_plan fftw_mpi_plan_r2r_3d(ptrdiff_t n0, ptrdiff_t n1, ptrdiff_t n2, | |
| 271 double *in, double *out, | |
| 272 MPI_Comm comm, | |
| 273 fftw_r2r_kind kind0, fftw_r2r_kind kind1, fftw_r2r_kind kind2, | |
| 274 unsigned flags); | |
| 275 fftw_plan fftw_mpi_plan_r2r(int rnk, const ptrdiff_t *n, | |
| 276 double *in, double *out, | |
| 277 MPI_Comm comm, const fftw_r2r_kind *kind, | |
| 278 unsigned flags); | |
| 279 fftw_plan fftw_mpi_plan_many_r2r(int rnk, const ptrdiff_t *n, | |
| 280 ptrdiff_t iblock, ptrdiff_t oblock, | |
| 281 double *in, double *out, | |
| 282 MPI_Comm comm, const fftw_r2r_kind *kind, | |
| 283 unsigned flags); | |
| 284 </pre></div> | |
| 285 | |
| 286 <p>The parameters are much the same as for the complex DFTs above, except | |
| 287 that the arrays are of real numbers (and hence the outputs of the | |
| 288 ‘<samp>local_size</samp>’ data-distribution functions should be interpreted as | |
| 289 counts of real rather than complex numbers). Also, the <code>kind</code> | |
| 290 parameters specify the r2r kinds along each dimension as for the | |
| 291 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>. | |
| 292 </p> | |
| 293 <a name="MPI-transposition"></a> | |
| 294 <h4 class="subsubheading">MPI transposition</h4> | |
| 295 <a name="index-transpose-5"></a> | |
| 296 | |
| 297 <p>FFTW also provides routines to plan a transpose of a distributed | |
| 298 <code>n0</code> by <code>n1</code> array of real numbers, or an array of | |
| 299 <code>howmany</code>-tuples of real numbers with specified block sizes | |
| 300 (see <a href="FFTW-MPI-Transposes.html#FFTW-MPI-Transposes">FFTW MPI Transposes</a>): | |
| 301 </p> | |
| 302 <a name="index-fftw_005fmpi_005fplan_005ftranspose-1"></a> | |
| 303 <a name="index-fftw_005fmpi_005fplan_005fmany_005ftranspose-1"></a> | |
| 304 <div class="example"> | |
| 305 <pre class="example">fftw_plan fftw_mpi_plan_transpose(ptrdiff_t n0, ptrdiff_t n1, | |
| 306 double *in, double *out, | |
| 307 MPI_Comm comm, unsigned flags); | |
| 308 fftw_plan fftw_mpi_plan_many_transpose | |
| 309 (ptrdiff_t n0, ptrdiff_t n1, ptrdiff_t howmany, | |
| 310 ptrdiff_t block0, ptrdiff_t block1, | |
| 311 double *in, double *out, MPI_Comm comm, unsigned flags); | |
| 312 </pre></div> | |
| 313 | |
| 314 <a name="index-new_002darray-execution-2"></a> | |
| 315 <a name="index-fftw_005fmpi_005fexecute_005fr2r-1"></a> | |
| 316 <p>These plans are used with the <code>fftw_mpi_execute_r2r</code> new-array | |
| 317 execute function (see <a href="Using-MPI-Plans.html#Using-MPI-Plans">Using MPI Plans</a>), since they count as (rank | |
| 318 zero) r2r plans from FFTW’s perspective. | |
| 319 </p> | |
| 320 <hr> | |
| 321 <div class="header"> | |
| 322 <p> | |
| 323 Next: <a href="MPI-Wisdom-Communication.html#MPI-Wisdom-Communication" accesskey="n" rel="next">MPI Wisdom Communication</a>, Previous: <a href="MPI-Data-Distribution-Functions.html#MPI-Data-Distribution-Functions" accesskey="p" rel="prev">MPI Data Distribution Functions</a>, Up: <a href="FFTW-MPI-Reference.html#FFTW-MPI-Reference" accesskey="u" rel="up">FFTW MPI Reference</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> | |
| 324 </div> | |
| 325 | |
| 326 | |
| 327 | |
| 328 </body> | |
| 329 </html> |