353 lines
11 KiB
C
353 lines
11 KiB
C
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/*
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* Copyright (c) 2003, 2007-14 Matteo Frigo
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* Copyright (c) 2003, 2007-14 Massachusetts Institute of Technology
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*
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* This program is free software; you can redistribute it and/or modify
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* it under the terms of the GNU General Public License as published by
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* the Free Software Foundation; either version 2 of the License, or
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* (at your option) any later version.
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*
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* This program is distributed in the hope that it will be useful,
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* but WITHOUT ANY WARRANTY; without even the implied warranty of
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* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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* GNU General Public License for more details.
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*
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* You should have received a copy of the GNU General Public License
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* along with this program; if not, write to the Free Software
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* Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA
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*
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*/
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/* Complex DFTs of rank == 1 via six-step algorithm. */
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#include "mpi-dft.h"
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#include "mpi-transpose.h"
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#include "dft/dft.h"
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typedef struct {
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solver super;
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rdftapply apply; /* apply_ddft_first or apply_ddft_last */
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int preserve_input; /* preserve input even if DESTROY_INPUT was passed */
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} S;
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typedef struct {
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plan_mpi_dft super;
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triggen *t;
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plan *cldt, *cld_ddft, *cld_dft;
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INT roff, ioff;
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int preserve_input;
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INT vn, xmin, xmax, xs, m, r;
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} P;
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static void do_twiddle(triggen *t, INT ir, INT m, INT vn, R *xr, R *xi)
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{
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void (*rotate)(triggen *, INT, R, R, R *) = t->rotate;
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INT im, iv;
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for (im = 0; im < m; ++im)
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for (iv = 0; iv < vn; ++iv) {
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/* TODO: modify/inline rotate function
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so that it can do whole vn vector at once? */
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R c[2];
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rotate(t, ir * im, *xr, *xi, c);
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*xr = c[0]; *xi = c[1];
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xr += 2; xi += 2;
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}
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}
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/* radix-r DFT of size r*m. This is equivalent to an m x r 2d DFT,
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plus twiddle factors between the size-m and size-r 1d DFTs, where
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the m dimension is initially distributed. The output is transposed
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to r x m where the r dimension is distributed.
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This algorithm follows the general sequence:
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global transpose (m x r -> r x m)
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DFTs of size m
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multiply by twiddles + global transpose (r x m -> m x r)
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DFTs of size r
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global transpose (m x r -> r x m)
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where the multiplication by twiddles can come before or after
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the middle transpose. The first/last transposes are omitted
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for SCRAMBLED_IN/OUT formats, respectively.
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However, we wish to exploit our dft-rank1-bigvec solver, which
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solves a vector of distributed DFTs via transpose+dft+transpose.
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Therefore, we can group *either* the DFTs of size m *or* the
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DFTs of size r with their surrounding transposes as a single
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distributed-DFT (ddft) plan. These two variations correspond to
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apply_ddft_first or apply_ddft_last, respectively.
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*/
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static void apply_ddft_first(const plan *ego_, R *I, R *O)
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{
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const P *ego = (const P *) ego_;
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plan_dft *cld_dft;
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plan_rdft *cldt, *cld_ddft;
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INT roff, ioff, im, mmax, ms, r, vn;
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triggen *t;
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R *dI, *dO;
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/* distributed size-m DFTs, with output in m x r format */
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cld_ddft = (plan_rdft *) ego->cld_ddft;
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cld_ddft->apply(ego->cld_ddft, I, O);
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cldt = (plan_rdft *) ego->cldt;
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if (ego->preserve_input || !cldt) I = O;
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/* twiddle multiplications, followed by 1d DFTs of size-r */
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cld_dft = (plan_dft *) ego->cld_dft;
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roff = ego->roff; ioff = ego->ioff;
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mmax = ego->xmax; ms = ego->xs;
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t = ego->t; r = ego->r; vn = ego->vn;
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dI = O; dO = I;
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for (im = ego->xmin; im <= mmax; ++im) {
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do_twiddle(t, im, r, vn, dI+roff, dI+ioff);
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cld_dft->apply((plan *) cld_dft, dI+roff, dI+ioff, dO+roff, dO+ioff);
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dI += ms; dO += ms;
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}
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/* final global transpose (m x r -> r x m), if not SCRAMBLED_OUT */
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if (cldt)
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cldt->apply((plan *) cldt, I, O);
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}
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static void apply_ddft_last(const plan *ego_, R *I, R *O)
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{
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const P *ego = (const P *) ego_;
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plan_dft *cld_dft;
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plan_rdft *cldt, *cld_ddft;
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INT roff, ioff, ir, rmax, rs, m, vn;
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triggen *t;
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R *dI, *dO0, *dO;
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/* initial global transpose (m x r -> r x m), if not SCRAMBLED_IN */
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cldt = (plan_rdft *) ego->cldt;
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if (cldt) {
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cldt->apply((plan *) cldt, I, O);
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dI = O;
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}
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else
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dI = I;
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if (ego->preserve_input) dO = O; else dO = I;
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dO0 = dO;
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/* 1d DFTs of size m, followed by twiddle multiplications */
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cld_dft = (plan_dft *) ego->cld_dft;
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roff = ego->roff; ioff = ego->ioff;
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rmax = ego->xmax; rs = ego->xs;
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t = ego->t; m = ego->m; vn = ego->vn;
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for (ir = ego->xmin; ir <= rmax; ++ir) {
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cld_dft->apply((plan *) cld_dft, dI+roff, dI+ioff, dO+roff, dO+ioff);
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do_twiddle(t, ir, m, vn, dO+roff, dO+ioff);
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dI += rs; dO += rs;
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}
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/* distributed size-r DFTs, with output in r x m format */
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cld_ddft = (plan_rdft *) ego->cld_ddft;
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cld_ddft->apply(ego->cld_ddft, dO0, O);
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}
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static int applicable(const S *ego, const problem *p_,
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const planner *plnr,
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INT *r, INT rblock[2], INT mblock[2])
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{
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const problem_mpi_dft *p = (const problem_mpi_dft *) p_;
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int n_pes;
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MPI_Comm_size(p->comm, &n_pes);
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return (1
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&& p->sz->rnk == 1
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&& ONLY_SCRAMBLEDP(p->flags)
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&& (!ego->preserve_input || (!NO_DESTROY_INPUTP(plnr)
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&& p->I != p->O))
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&& (!(p->flags & SCRAMBLED_IN) || ego->apply == apply_ddft_last)
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&& (!(p->flags & SCRAMBLED_OUT) || ego->apply == apply_ddft_first)
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&& (!NO_SLOWP(plnr) /* slow if dft-serial is applicable */
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|| !XM(dft_serial_applicable)(p))
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/* disallow if dft-rank1-bigvec is applicable since the
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data distribution may be slightly different (ugh!) */
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&& (p->vn < n_pes || p->flags)
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&& (*r = XM(choose_radix)(p->sz->dims[0], n_pes,
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p->flags, p->sign,
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rblock, mblock))
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/* ddft_first or last has substantial advantages in the
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bigvec transpositions for the common case where
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n_pes == n/r or r, respectively */
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&& (!NO_UGLYP(plnr)
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|| !(*r == n_pes && ego->apply == apply_ddft_first)
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|| !(p->sz->dims[0].n / *r == n_pes
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&& ego->apply == apply_ddft_last))
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);
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}
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static void awake(plan *ego_, enum wakefulness wakefulness)
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{
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P *ego = (P *) ego_;
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X(plan_awake)(ego->cldt, wakefulness);
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X(plan_awake)(ego->cld_dft, wakefulness);
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X(plan_awake)(ego->cld_ddft, wakefulness);
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switch (wakefulness) {
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case SLEEPY:
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X(triggen_destroy)(ego->t); ego->t = 0;
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break;
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default:
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ego->t = X(mktriggen)(AWAKE_SQRTN_TABLE, ego->r * ego->m);
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break;
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}
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}
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static void destroy(plan *ego_)
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{
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P *ego = (P *) ego_;
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X(plan_destroy_internal)(ego->cldt);
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X(plan_destroy_internal)(ego->cld_dft);
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X(plan_destroy_internal)(ego->cld_ddft);
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}
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static void print(const plan *ego_, printer *p)
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{
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const P *ego = (const P *) ego_;
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p->print(p, "(mpi-dft-rank1/%D%s%s%(%p%)%(%p%)%(%p%))",
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ego->r,
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ego->super.apply == apply_ddft_first ? "/first" : "/last",
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ego->preserve_input==2 ?"/p":"",
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ego->cld_ddft, ego->cld_dft, ego->cldt);
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}
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static plan *mkplan(const solver *ego_, const problem *p_, planner *plnr)
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{
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const S *ego = (const S *) ego_;
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const problem_mpi_dft *p;
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P *pln;
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plan *cld_dft = 0, *cld_ddft = 0, *cldt = 0;
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R *ri, *ii, *ro, *io, *I, *O;
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INT r, rblock[2], m, mblock[2], rp, mp, mpblock[2], mpb;
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int my_pe, n_pes, preserve_input, ddft_first;
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dtensor *sz;
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static const plan_adt padt = {
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XM(dft_solve), awake, print, destroy
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};
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UNUSED(ego);
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if (!applicable(ego, p_, plnr, &r, rblock, mblock))
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return (plan *) 0;
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p = (const problem_mpi_dft *) p_;
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MPI_Comm_rank(p->comm, &my_pe);
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MPI_Comm_size(p->comm, &n_pes);
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m = p->sz->dims[0].n / r;
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/* some hackery so that we can plan both ddft_first and ddft_last
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as if they were ddft_first */
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if ((ddft_first = (ego->apply == apply_ddft_first))) {
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rp = r; mp = m;
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mpblock[IB] = mblock[IB]; mpblock[OB] = mblock[OB];
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mpb = XM(block)(mp, mpblock[OB], my_pe);
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}
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else {
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rp = m; mp = r;
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mpblock[IB] = rblock[IB]; mpblock[OB] = rblock[OB];
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mpb = XM(block)(mp, mpblock[IB], my_pe);
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}
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preserve_input = ego->preserve_input ? 2 : NO_DESTROY_INPUTP(plnr);
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sz = XM(mkdtensor)(1);
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sz->dims[0].n = mp;
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sz->dims[0].b[IB] = mpblock[IB];
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sz->dims[0].b[OB] = mpblock[OB];
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I = (ddft_first || !preserve_input) ? p->I : p->O;
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O = p->O;
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cld_ddft = X(mkplan_d)(plnr, XM(mkproblem_dft_d)(sz, rp * p->vn,
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I, O, p->comm, p->sign,
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RANK1_BIGVEC_ONLY));
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if (XM(any_true)(!cld_ddft, p->comm)) goto nada;
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I = TAINT((ddft_first || !p->flags) ? p->O : p->I, rp * p->vn * 2);
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O = TAINT((preserve_input || (ddft_first && p->flags)) ? p->O : p->I,
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rp * p->vn * 2);
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X(extract_reim)(p->sign, I, &ri, &ii);
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X(extract_reim)(p->sign, O, &ro, &io);
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cld_dft = X(mkplan_d)(plnr,
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X(mkproblem_dft_d)(X(mktensor_1d)(rp, p->vn*2,p->vn*2),
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X(mktensor_1d)(p->vn, 2, 2),
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ri, ii, ro, io));
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if (XM(any_true)(!cld_dft, p->comm)) goto nada;
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if (!p->flags) { /* !(SCRAMBLED_IN or SCRAMBLED_OUT) */
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I = (ddft_first && preserve_input) ? p->O : p->I;
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O = p->O;
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cldt = X(mkplan_d)(plnr,
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XM(mkproblem_transpose)(
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m, r, p->vn * 2,
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I, O,
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ddft_first ? mblock[OB] : mblock[IB],
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ddft_first ? rblock[OB] : rblock[IB],
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p->comm, 0));
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if (XM(any_true)(!cldt, p->comm)) goto nada;
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}
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pln = MKPLAN_MPI_DFT(P, &padt, ego->apply);
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pln->cld_ddft = cld_ddft;
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pln->cld_dft = cld_dft;
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pln->cldt = cldt;
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pln->preserve_input = preserve_input;
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X(extract_reim)(p->sign, p->O, &ro, &io);
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pln->roff = ro - p->O;
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pln->ioff = io - p->O;
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pln->vn = p->vn;
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pln->m = m;
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pln->r = r;
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pln->xmin = (ddft_first ? mblock[OB] : rblock[IB]) * my_pe;
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pln->xmax = pln->xmin + mpb - 1;
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pln->xs = rp * p->vn * 2;
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pln->t = 0;
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X(ops_add)(&cld_ddft->ops, &cld_dft->ops, &pln->super.super.ops);
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if (cldt) X(ops_add2)(&cldt->ops, &pln->super.super.ops);
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{
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double n0 = (1 + pln->xmax - pln->xmin) * (mp - 1) * pln->vn;
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pln->super.super.ops.mul += 8 * n0;
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pln->super.super.ops.add += 4 * n0;
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pln->super.super.ops.other += 8 * n0;
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}
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return &(pln->super.super);
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nada:
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|
X(plan_destroy_internal)(cldt);
|
||
|
|
X(plan_destroy_internal)(cld_dft);
|
||
|
|
X(plan_destroy_internal)(cld_ddft);
|
||
|
|
return (plan *) 0;
|
||
|
|
}
|
||
|
|
|
||
|
|
static solver *mksolver(rdftapply apply, int preserve_input)
|
||
|
|
{
|
||
|
|
static const solver_adt sadt = { PROBLEM_MPI_DFT, mkplan, 0 };
|
||
|
|
S *slv = MKSOLVER(S, &sadt);
|
||
|
|
slv->apply = apply;
|
||
|
|
slv->preserve_input = preserve_input;
|
||
|
|
return &(slv->super);
|
||
|
|
}
|
||
|
|
|
||
|
|
void XM(dft_rank1_register)(planner *p)
|
||
|
|
{
|
||
|
|
rdftapply apply[] = { apply_ddft_first, apply_ddft_last };
|
||
|
|
unsigned int iapply;
|
||
|
|
int preserve_input;
|
||
|
|
for (iapply = 0; iapply < sizeof(apply) / sizeof(apply[0]); ++iapply)
|
||
|
|
for (preserve_input = 0; preserve_input <= 1; ++preserve_input)
|
||
|
|
REGISTER_SOLVER(p, mksolver(apply[iapply], preserve_input));
|
||
|
|
}
|