/* * Copyright (c) 1997-1999 Massachusetts Institute of Technology * * This program is free software; you can redistribute it and/or modify * it under the terms of the GNU General Public License as published by * the Free Software Foundation; either version 2 of the License, or * (at your option) any later version. * * This program is distributed in the hope that it will be useful, * but WITHOUT ANY WARRANTY; without even the implied warranty of * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the * GNU General Public License for more details. * * You should have received a copy of the GNU General Public License * along with this program; if not, write to the Free Software * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA * */ #include #include /****************** prototypes for rexec2_threads routines *****************/ extern void rfftw_real2c_threads_aux(fftw_plan plan, int howmany, fftw_real *in, int istride, int idist, fftw_complex *out, int ostride, int odist, fftw_real *work, int nthreads); extern void rfftw_c2real_threads_aux(fftw_plan plan, int howmany, fftw_complex *in, int istride, int idist, fftw_real *out, int ostride, int odist, fftw_real *work, int nthreads); extern void rfftw_real2c_overlap_threads_aux(fftw_plan plan, int howmany, fftw_real *in, int istride, int idist, fftw_complex *out, int ostride, int odist, fftw_real *work, int nthreads); extern void rfftw_c2real_overlap_threads_aux(fftw_plan plan, int howmany, fftw_complex *in, int istride, int idist, fftw_real *out, int ostride, int odist, fftw_real *work, int nthreads); /********************** prototypes for rexec2 routines **********************/ extern void rfftw_real2c_aux(fftw_plan plan, int howmany, fftw_real *in, int istride, int idist, fftw_complex *out, int ostride, int odist, fftw_real *work); extern void rfftw_c2real_aux(fftw_plan plan, int howmany, fftw_complex *in, int istride, int idist, fftw_real *out, int ostride, int odist, fftw_real *work); extern void rfftw_real2c_overlap_aux(fftw_plan plan, int howmany, fftw_real *in, int istride, int idist, fftw_complex *out, int ostride, int odist, fftw_real *work); extern void rfftw_c2real_overlap_aux(fftw_plan plan, int howmany, fftw_complex *in, int istride, int idist, fftw_real *out, int ostride, int odist, fftw_real *work); /****************** prototypes for rfftwnd routines *****************/ extern void rfftwnd_real2c_aux(fftwnd_plan p, int cur_dim, fftw_real *in, int istride, fftw_complex *out, int ostride, fftw_real *work); extern void rfftwnd_c2real_aux(fftwnd_plan p, int cur_dim, fftw_complex *in, int istride, fftw_real *out, int ostride, fftw_real *work); extern void rfftwnd_real2c_aux_howmany(fftwnd_plan p, int cur_dim, int howmany, fftw_real *in, int istride, int idist, fftw_complex *out, int ostride, int odist, fftw_complex *work); extern void rfftwnd_c2real_aux_howmany(fftwnd_plan p, int cur_dim, int howmany, fftw_complex *in, int istride, int idist, fftw_real *out, int ostride, int odist, fftw_complex *work); /*********** Computing the N-Dimensional FFT: Auxiliary Routines ************/ typedef struct { fftwnd_plan p; int cur_dim; void *in; int istride, idist; void *out; int ostride, odist; fftw_complex *work; } aux_data; static void *real2c_aux_thread(fftw_loop_data *ldata) { int min = ldata->min, max = ldata->max; aux_data *d = (aux_data *) ldata->data; fftwnd_plan p = d->p; int cur_dim = d->cur_dim; fftw_real *in = (fftw_real *) d->in; int istride = d->istride, idist = d->idist; fftw_complex *out = (fftw_complex *) d->out; int ostride = d->ostride, odist = d->odist; fftw_real *work = (fftw_real*) (d->work + p->nwork * ldata->thread_num); for (; min < max; ++min) rfftwnd_real2c_aux(p, cur_dim, in + idist * min, istride, out + odist * min, ostride, work); return 0; } void rfftwnd_real2c_threads_aux(fftwnd_plan p, int cur_dim, fftw_real *in, int istride, fftw_complex *out, int ostride, fftw_complex *work, int nthreads) { int n_after = p->n_after[cur_dim], n = p->n[cur_dim]; if (cur_dim == p->rank - 2) { /* just do the last dimension directly: */ if (p->is_in_place) rfftw_real2c_threads_aux(p->plans[p->rank - 1], n, in, istride, (n_after * istride) * 2, out, istride, n_after * istride, (fftw_real *) work, nthreads); else rfftw_real2c_threads_aux(p->plans[p->rank - 1], n, in, istride, p->plans[p->rank - 1]->n * istride, out, ostride, n_after * ostride, (fftw_real *) work, nthreads); } else { /* we have at least two dimensions to go */ int nr = p->plans[p->rank - 1]->n; aux_data d; d.p = p; d.cur_dim = cur_dim + 1; d.in = in; d.istride = istride; d.idist = istride * (p->is_in_place ? n_after * 2 : nr * (n_after / (nr/2 + 1))); d.out = out; d.ostride = ostride; d.odist = ostride * n_after; d.work = work; fftw_thread_spawn_loop(n, nthreads, real2c_aux_thread, &d); } /* do the current dimension (in-place): */ /* (Use internal function instead of fftw_threads so that we can pass our workspace array.) */ fftw_executor_many_inplace_threads(p->plans[cur_dim]->n, out, work, p->plans[cur_dim]->root, n_after * ostride, n_after, ostride, nthreads); } static void *c2real_aux_thread(fftw_loop_data *ldata) { int min = ldata->min, max = ldata->max; aux_data *d = (aux_data *) ldata->data; fftwnd_plan p = d->p; int cur_dim = d->cur_dim; fftw_complex *in = (fftw_complex *) d->in; int istride = d->istride, idist = d->idist; fftw_real *out = (fftw_real *) d->out; int ostride = d->ostride, odist = d->odist; fftw_real *work = (fftw_real*) (d->work + p->nwork * ldata->thread_num); for (; min < max; ++min) rfftwnd_c2real_aux(p, cur_dim, in + idist * min, istride, out + odist * min, ostride, work); return 0; } void rfftwnd_c2real_threads_aux(fftwnd_plan p, int cur_dim, fftw_complex *in, int istride, fftw_real *out, int ostride, fftw_complex *work, int nthreads) { int n_after = p->n_after[cur_dim], n = p->n[cur_dim]; /* do the current dimension (in-place): */ /* (Use internal function instead of fftw_threads so that we can pass our workspace array.) */ fftw_executor_many_inplace_threads(p->plans[cur_dim]->n, in, work, p->plans[cur_dim]->root, n_after * istride, n_after, istride, nthreads); if (cur_dim == p->rank - 2) { /* just do the last dimension directly: */ if (p->is_in_place) rfftw_c2real_threads_aux(p->plans[p->rank - 1], n, in, istride, n_after * istride, out, istride, (n_after * istride) * 2, (fftw_real *) work, nthreads); else rfftw_c2real_threads_aux(p->plans[p->rank - 1], n, in, istride, n_after * istride, out, ostride, p->plans[p->rank - 1]->n * ostride, (fftw_real *) work, nthreads); } else { /* we have at least two dimensions to go */ int nr = p->plans[p->rank - 1]->n; aux_data d; d.p = p; d.cur_dim = cur_dim + 1; d.in = in; d.istride = istride; d.odist = ostride * (p->is_in_place ? n_after * 2 : nr * (n_after / (nr/2 + 1))); d.out = out; d.ostride = ostride; d.idist = istride * n_after; d.work = work; fftw_thread_spawn_loop(n, nthreads, c2real_aux_thread, &d); } } typedef struct { fftw_plan p; int howmany; void *in; int istride, idist, idist0; void *out; int ostride, odist, odist0; fftw_real *work; int wdist; } howmany_aux_data; static void *r2c_overlap_howmany_thread(fftw_loop_data *ldata) { int min = ldata->min, max = ldata->max; howmany_aux_data *d = (howmany_aux_data *) ldata->data; fftw_plan p = d->p; int howmany = d->howmany; fftw_real *in = (fftw_real *) d->in; int istride = d->istride, idist = d->idist, idist0 = d->idist0; fftw_complex *out = (fftw_complex *) d->out; int ostride = d->ostride, odist = d->odist, odist0 = d->odist0; fftw_real *work = d->work + d->wdist * ldata->thread_num; for (; min < max; ++min) rfftw_real2c_overlap_aux(p, howmany, in + min * idist0, istride, idist, out + min * odist0, ostride, odist, work); return 0; } static void *c2r_overlap_howmany_thread(fftw_loop_data *ldata) { int min = ldata->min, max = ldata->max; howmany_aux_data *d = (howmany_aux_data *) ldata->data; fftw_plan p = d->p; int howmany = d->howmany; fftw_real *out = (fftw_real *) d->out; int istride = d->istride, idist = d->idist, idist0 = d->idist0; fftw_complex *in = (fftw_complex *) d->in; int ostride = d->ostride, odist = d->odist, odist0 = d->odist0; fftw_real *work = d->work + d->wdist * ldata->thread_num; for (; min < max; ++min) rfftw_c2real_overlap_aux(p, howmany, in + min * idist0, istride, idist, out + min * odist0, ostride, odist, work); return 0; } static void *r2c_howmany_thread(fftw_loop_data *ldata) { int min = ldata->min, max = ldata->max; howmany_aux_data *d = (howmany_aux_data *) ldata->data; fftw_plan p = d->p; int howmany = d->howmany; fftw_real *in = (fftw_real *) d->in; int istride = d->istride, idist = d->idist, idist0 = d->idist0; fftw_complex *out = (fftw_complex *) d->out; int ostride = d->ostride, odist = d->odist, odist0 = d->odist0; fftw_real *work = d->work + d->wdist * ldata->thread_num; for (; min < max; ++min) rfftw_real2c_aux(p, howmany, in + min * idist0, istride, idist, out + min * odist0, ostride, odist, work); return 0; } static void *c2r_howmany_thread(fftw_loop_data *ldata) { int min = ldata->min, max = ldata->max; howmany_aux_data *d = (howmany_aux_data *) ldata->data; fftw_plan p = d->p; int howmany = d->howmany; fftw_real *out = (fftw_real *) d->out; int istride = d->istride, idist = d->idist, idist0 = d->idist0; fftw_complex *in = (fftw_complex *) d->in; int ostride = d->ostride, odist = d->odist, odist0 = d->odist0; fftw_real *work = d->work + d->wdist * ldata->thread_num; for (; min < max; ++min) rfftw_c2real_aux(p, howmany, in + min * idist0, istride, idist, out + min * odist0, ostride, odist, work); return 0; } typedef struct { fftwnd_plan p; int cur_dim; int howmany; void *in; int istride, idist, idist0; void *out; int ostride, odist, odist0; fftw_complex *work; int wdist; } howmany_hyperslab_aux_data; static void *r2c_hyperslab_howmany_thread(fftw_loop_data *ldata) { int min = ldata->min, max = ldata->max; howmany_hyperslab_aux_data *d = (howmany_hyperslab_aux_data*) ldata->data; fftwnd_plan p = d->p; int cur_dim = d->cur_dim; int howmany = d->howmany; fftw_real *in = (fftw_real *) d->in; int istride = d->istride, idist = d->idist, idist0 = d->idist0; fftw_complex *out = (fftw_complex *) d->out; int ostride = d->ostride, odist = d->odist, odist0 = d->odist0; fftw_complex *work = d->work + d->wdist * ldata->thread_num; for (; min < max; ++min) rfftwnd_real2c_aux_howmany(p, cur_dim, howmany, in + min * idist0, istride, idist, out + min * odist0, ostride, odist, work); return 0; } static void *c2r_hyperslab_howmany_thread(fftw_loop_data *ldata) { int min = ldata->min, max = ldata->max; howmany_hyperslab_aux_data *d = (howmany_hyperslab_aux_data*) ldata->data; fftwnd_plan p = d->p; int cur_dim = d->cur_dim; int howmany = d->howmany; fftw_real *out = (fftw_real *) d->out; int istride = d->istride, idist = d->idist, idist0 = d->idist0; fftw_complex *in = (fftw_complex *) d->in; int ostride = d->ostride, odist = d->odist, odist0 = d->odist0; fftw_complex *work = d->work + d->wdist * ldata->thread_num; for (; min < max; ++min) rfftwnd_c2real_aux_howmany(p, cur_dim, howmany, in + min * idist0, istride, idist, out + min * odist0, ostride, odist, work); return 0; } typedef struct { fftw_plan p; int howmany; fftw_complex *io_data; int iostride, iodist, iodist0; fftw_complex *work; int wdist; } fftw_howmany_data; static void *fftw_howmany_thread(fftw_loop_data *ldata) { int min = ldata->min, max = ldata->max; fftw_howmany_data *d = (fftw_howmany_data*) ldata->data; fftw_plan p = d->p; int howmany = d->howmany; fftw_complex *io_data = d->io_data; int iostride = d->iostride, iodist = d->iodist, iodist0 = d->iodist0; fftw_complex *work = d->work + d->wdist * ldata->thread_num; for (; min < max; ++min) fftw(p, howmany, io_data + min*iodist0, iostride, iodist, work,1,0); return 0; } /* * alternate version of rfftwnd_aux -- this version pushes the howmany * loop down to the leaves of the computation, for greater locality * in cases where dist < stride. It is also required for correctness * if in==out, and we must call a special version of the executor. * Note that work must point to 'howmany' copies of its data * if in == out. */ void rfftwnd_real2c_aux_howmany_threads(fftwnd_plan p, int cur_dim, int howmany, fftw_real *in, int istride, int idist, fftw_complex *out, int ostride, int odist, fftw_complex *work, int nwork, int nthreads) { int n_after = p->n_after[cur_dim], n = p->n[cur_dim]; if (cur_dim == p->rank - 2) { howmany_aux_data d; d.p = p->plans[p->rank - 1]; d.howmany = howmany; d.in = in; d.istride = istride; d.idist = idist; d.out = out; d.ostride = ostride; d.odist = odist; d.work = (fftw_real *) work; d.wdist = nwork * 2; /* just do the last dimension directly: */ if (p->is_in_place) { d.idist0 = n_after * istride * 2; d.odist0 = n_after * ostride; fftw_thread_spawn_loop(n, nthreads, r2c_overlap_howmany_thread, &d); } else { d.idist0 = p->plans[p->rank - 1]->n * istride; d.odist0 = n_after * ostride; fftw_thread_spawn_loop(n, nthreads, r2c_howmany_thread, &d); } } else { /* we have at least two dimensions to go */ /* * process the subsequent dimensions recursively, in hyperslabs, * to get maximum locality: */ int nr = p->plans[p->rank - 1]->n; int n_after_r = p->is_in_place ? n_after * 2 : nr * (n_after / (nr/2 + 1)); howmany_hyperslab_aux_data d; d.p = p; d.cur_dim = cur_dim + 1; d.howmany = howmany; d.in = in; d.istride = istride; d.idist = idist; d.idist0 = n_after_r * istride; d.out = out; d.ostride = ostride; d.odist = odist; d.odist0 = n_after * ostride; d.work = work; d.wdist = nwork; fftw_thread_spawn_loop(n, nthreads, r2c_hyperslab_howmany_thread, &d); } /* do the current dimension (in-place): */ { fftw_howmany_data d; d.p = p->plans[cur_dim]; d.howmany = howmany; d.io_data = out; d.iostride = n_after * ostride; d.iodist = odist; d.iodist0 = ostride; d.work = work; d.wdist = nwork; fftw_thread_spawn_loop(n_after, nthreads, fftw_howmany_thread, &d); } } void rfftwnd_c2real_aux_howmany_threads(fftwnd_plan p, int cur_dim, int howmany, fftw_complex *in, int istride, int idist, fftw_real *out, int ostride, int odist, fftw_complex *work, int nwork, int nthreads) { int n_after = p->n_after[cur_dim], n = p->n[cur_dim]; /* do the current dimension (in-place): */ { fftw_howmany_data d; d.p = p->plans[cur_dim]; d.howmany = howmany; d.io_data = in; d.iostride = n_after * istride; d.iodist = idist; d.iodist0 = istride; d.work = work; d.wdist = nwork; fftw_thread_spawn_loop(n_after, nthreads, fftw_howmany_thread, &d); } if (cur_dim == p->rank - 2) { howmany_aux_data d; d.p = p->plans[p->rank - 1]; d.howmany = howmany; d.in = in; d.istride = istride; d.idist = idist; d.out = out; d.ostride = ostride; d.odist = odist; d.work = (fftw_real *) work; d.wdist = nwork * 2; /* just do the last dimension directly: */ if (p->is_in_place) { d.idist0 = n_after * istride; d.odist0 = n_after * ostride * 2; fftw_thread_spawn_loop(n, nthreads, c2r_overlap_howmany_thread, &d); } else { d.odist0 = p->plans[p->rank - 1]->n * ostride; d.idist0 = n_after * istride; fftw_thread_spawn_loop(n, nthreads, c2r_howmany_thread, &d); } } else { /* we have at least two dimensions to go */ /* * process the subsequent dimensions recursively, in hyperslabs, * to get maximum locality: */ int nr = p->plans[p->rank - 1]->n; int n_after_r = p->is_in_place ? n_after * 2 : nr * (n_after / (nr/2 + 1)); howmany_hyperslab_aux_data d; d.p = p; d.cur_dim = cur_dim + 1; d.howmany = howmany; d.in = in; d.istride = istride; d.idist = idist; d.idist0 = n_after * istride; d.out = out; d.ostride = ostride; d.odist = odist; d.odist0 = n_after_r * ostride; d.work = work; d.wdist = nwork; fftw_thread_spawn_loop(n, nthreads, c2r_hyperslab_howmany_thread, &d); } } /********** Computing the N-Dimensional FFT: User-Visible Routines **********/ void rfftwnd_threads_real_to_complex(int nthreads, fftwnd_plan p, int howmany, fftw_real *in, int istride, int idist, fftw_complex *out, int ostride, int odist) { fftw_complex *work = 0; int rank = p->rank; int nwork = p->nwork, size_work = nwork * nthreads; if (p->dir != FFTW_REAL_TO_COMPLEX) fftw_die("rfftwnd_real_to_complex with complex-to-real plan"); if (p->is_in_place) { ostride = istride; odist = (idist == 1) ? 1 : (idist / 2); /* ugh */ out = (fftw_complex *) in; if (howmany > 1 && istride > idist && rank > 0) { int new_nwork = p->n[rank - 1] * howmany; if (new_nwork > nwork) nwork = new_nwork; if (rank != 1) { if (nwork * nthreads > size_work) size_work = nwork * nthreads; } else size_work = nwork; } } work = (fftw_complex *) fftw_malloc(sizeof(fftw_complex) * size_work); switch (rank) { case 0: break; case 1: if (p->is_in_place && howmany > 1 && istride > idist) rfftw_real2c_overlap_threads_aux(p->plans[0], howmany, in, istride, idist, out, ostride, odist, (fftw_real *) work, nthreads); else rfftw_real2c_threads_aux(p->plans[0], howmany, in, istride, idist, out, ostride, odist, (fftw_real *) work, nthreads); break; default: /* rank >= 2 */ { if (howmany > 1 && ostride > odist) rfftwnd_real2c_aux_howmany_threads(p, 0, howmany, in, istride, idist, out, ostride, odist, work, nwork, nthreads); else { int i; for (i = 0; i < howmany; ++i) rfftwnd_real2c_threads_aux(p, 0, in + i * idist, istride, out + i * odist, ostride, work, nthreads); } } } fftw_free(work); } void rfftwnd_threads_complex_to_real(int nthreads, fftwnd_plan p, int howmany, fftw_complex *in, int istride, int idist, fftw_real *out, int ostride, int odist) { fftw_complex *work = 0; int rank = p->rank; int nwork = p->nwork, size_work = nwork * nthreads; if (p->dir != FFTW_COMPLEX_TO_REAL) fftw_die("rfftwnd_complex_to_real with real-to-complex plan"); if (p->is_in_place) { ostride = istride; odist = idist; odist = (idist == 1) ? 1 : (idist * 2); /* ugh */ out = (fftw_real *) in; if (howmany > 1 && istride > idist && rank > 0) { int new_nwork = p->n[rank - 1] * howmany; if (new_nwork > nwork) nwork = new_nwork; if (rank != 1) { if (nwork * nthreads > size_work) size_work = nwork * nthreads; } else size_work = nwork; } } work = (fftw_complex *) fftw_malloc(sizeof(fftw_complex) * size_work); switch (rank) { case 0: break; case 1: if (p->is_in_place && howmany > 1 && istride > idist) rfftw_c2real_overlap_threads_aux(p->plans[0], howmany, in, istride, idist, out, ostride, odist, (fftw_real *) work, nthreads); else rfftw_c2real_threads_aux(p->plans[0], howmany, in, istride, idist, out, ostride, odist, (fftw_real *) work, nthreads); break; default: /* rank >= 2 */ { if (howmany > 1 && ostride > odist) rfftwnd_c2real_aux_howmany_threads(p, 0, howmany, in, istride, idist, out, ostride, odist, work, nwork, nthreads); else { int i; for (i = 0; i < howmany; ++i) rfftwnd_c2real_threads_aux(p, 0, in + i * idist, istride, out + i * odist, ostride, work, nthreads); } } } fftw_free(work); } void rfftwnd_threads_one_real_to_complex(int nthreads, fftwnd_plan p, fftw_real *in, fftw_complex *out) { rfftwnd_threads_real_to_complex(nthreads, p, 1, in, 1, 1, out, 1, 1); } void rfftwnd_threads_one_complex_to_real(int nthreads, fftwnd_plan p, fftw_complex *in, fftw_real *out) { rfftwnd_threads_complex_to_real(nthreads, p, 1, in, 1, 1, out, 1, 1); }