diff options
author | scuri <scuri> | 2008-10-17 06:10:15 +0000 |
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committer | scuri <scuri> | 2008-10-17 06:10:15 +0000 |
commit | 5a422aba704c375a307a902bafe658342e209906 (patch) | |
tree | 5005011e086bb863d8fb587ad3319bbec59b2447 /src/fftw3/rdft/rgeneric.c |
First commit - moving from LuaForge to SourceForge
Diffstat (limited to 'src/fftw3/rdft/rgeneric.c')
-rw-r--r-- | src/fftw3/rdft/rgeneric.c | 371 |
1 files changed, 371 insertions, 0 deletions
diff --git a/src/fftw3/rdft/rgeneric.c b/src/fftw3/rdft/rgeneric.c new file mode 100644 index 0000000..ebc48e9 --- /dev/null +++ b/src/fftw3/rdft/rgeneric.c @@ -0,0 +1,371 @@ +/* + * Copyright (c) 2003 Matteo Frigo + * Copyright (c) 2003 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 "rdft.h" + +typedef struct { + solver super; + rdft_kind kind; +} S; + +typedef struct { + plan_rdft super; + plan *cld; + twid *td; + int os; + int r, m; + rdft_kind kind; +} P; + +/***************************************************************************/ + +static void apply_dit(const plan *ego_, R *I, R *O) +{ + const P *ego = (const P *) ego_; + int n, m, r; + int i, j, k; + int os, osm; + E *buf; + const R *W; + R *X, *YO, *YI; + E rsum, isum; + int wp, wincr; + + { + plan_rdft *cld = (plan_rdft *) ego->cld; + cld->apply((plan *) cld, I, O); + } + + r = ego->r; + + STACK_MALLOC(E *, buf, r * 2 * sizeof(E)); + + osm = (m = ego->m) * (os = ego->os); + n = m * r; + W = ego->td->W; + + X = O; + YO = O + r * osm; + YI = O + osm; + + /* compute the transform of the r 0th elements (which are real) */ + for (i = 0; i + i < r; ++i) { + rsum = K(0.0); + isum = K(0.0); + wincr = m * i; + for (j = 0, wp = 0; j < r; ++j) { + E tw_r = W[2*wp]; + E tw_i = W[2*wp+1] ; + E re = X[j * osm]; + rsum += re * tw_r; + isum += re * tw_i; + wp += wincr; + if (wp >= n) + wp -= n; + } + buf[2*i] = rsum; + buf[2*i+1] = isum; + } + + /* store the transform back onto the A array */ + X[0] = buf[0]; + for (i = 1; i + i < r; ++i) { + X[i * osm] = buf[2*i]; + YO[-i * osm] = buf[2*i+1]; + } + + X += os; + YI -= os; + YO -= os; + + /* compute the transform of the middle elements (which are complex) */ + for (k = 1; k + k < m; ++k, X += os, YI -= os, YO -= os) { + for (i = 0; i < r; ++i) { + rsum = K(0.0); + isum = K(0.0); + wincr = k + m * i; + for (j = 0, wp = 0; j < r; ++j) { + E tw_r = W[2*wp]; + E tw_i = W[2*wp+1] ; + E re = X[j * osm]; + E im = YI[j * osm]; + rsum += re * tw_r - im * tw_i; + isum += re * tw_i + im * tw_r; + wp += wincr; + if (wp >= n) + wp -= n; + } + buf[2*i] = rsum; + buf[2*i+1] = isum; + } + + /* store the transform back onto the A array */ + for (i = 0; i + i < r; ++i) { + X[i * osm] = buf[2*i]; + YO[-i * osm] = buf[2*i+1]; + } + for (; i < r; ++i) { + X[i * osm] = -buf[2*i+1]; + YO[-i * osm] = buf[2*i]; + } + } + + /* no final element, since m is odd */ + + STACK_FREE(buf); +} + +static void apply_dif(const plan *ego_, R *I, R *O) +{ + const P *ego = (const P *) ego_; + int n, m, r; + int i, j, k; + int is, ism; + E *buf; + const R *W; + R *X, *YO, *YI; + E rsum, isum; + int wp, wincr; + + r = ego->r; + + STACK_MALLOC(E *, buf, r * 2 * sizeof(E)); + + ism = (m = ego->m) * (is = ego->os); + n = m * r; + W = ego->td->W; + + X = I; + YI = I + r * ism; + YO = I + ism; + + /* + * compute the transform of the r 0th elements (which are halfcomplex) + * yielding real numbers + */ + /* copy the input into the temporary array */ + buf[0] = X[0]; + for (i = 1; i + i < r; ++i) { + buf[2*i] = X[i * ism]; + buf[2*i+1] = YI[-i * ism]; + } + + for (i = 0; i < r; ++i) { + rsum = K(0.0); + wincr = m * i; + for (j = 1, wp = wincr; j + j < r; ++j) { + E tw_r = W[2*wp]; + E tw_i = W[2*wp+1]; + E re = buf[2*j]; + E im = buf[2*j+1]; + rsum += re * tw_r + im * tw_i; + wp += wincr; + if (wp >= n) + wp -= n; + } + X[i * ism] = K(2.0) * rsum + buf[0]; + } + + X += is; + YI -= is; + YO -= is; + + /* compute the transform of the middle elements (which are complex) */ + for (k = 1; k + k < m; ++k, X += is, YI -= is, YO -= is) { + /* copy the input into the temporary array */ + for (i = 0; i + i < r; ++i) { + buf[2*i] = X[i * ism]; + buf[2*i+1] = YI[-i * ism]; + } + for (; i < r; ++i) { + buf[2*i+1] = -X[i * ism]; + buf[2*i] = YI[-i * ism]; + } + + for (i = 0; i < r; ++i) { + rsum = K(0.0); + isum = K(0.0); + wincr = m * i; + for (j = 0, wp = k * i; j < r; ++j) { + E tw_r = W[2*wp]; + E tw_i = W[2*wp+1]; + E re = buf[2*j]; + E im = buf[2*j+1]; + rsum += re * tw_r + im * tw_i; + isum += im * tw_r - re * tw_i; + wp += wincr; + if (wp >= n) + wp -= n; + } + X[i * ism] = rsum; + YO[i * ism] = isum; + } + } + + /* no final element, since m is odd */ + + STACK_FREE(buf); + + { + plan_rdft *cld = (plan_rdft *) ego->cld; + cld->apply((plan *) cld, I, O); + } + +} + +/***************************************************************************/ + +static void awake(plan *ego_, int flg) +{ + P *ego = (P *) ego_; + static const tw_instr generic_tw[] = { + { TW_GENERIC, 0, 0 }, + { TW_NEXT, 1, 0 } + }; + + AWAKE(ego->cld, flg); + /* FIXME: can we get away with fewer twiddles? */ + X(twiddle_awake)(flg, &ego->td, generic_tw, + ego->r * ego->m, ego->r, ego->m); +} + +static void destroy(plan *ego_) +{ + P *ego = (P *) ego_; + X(plan_destroy_internal)(ego->cld); +} + +static void print(const plan *ego_, printer *p) +{ + const P *ego = (const P *) ego_; + + p->print(p, "(rdft-generic-%s-%d%(%p%))", + ego->kind == R2HC ? "r2hc-dit" : "hc2r-dif", + ego->r, ego->cld); +} + +static int applicable0(const solver *ego_, const problem *p_) +{ + if (RDFTP(p_)) { + const S *ego = (const S *) ego_; + const problem_rdft *p = (const problem_rdft *) p_; + return (1 + && p->sz->rnk == 1 + && p->vecsz->rnk == 0 + && p->sz->dims[0].n > 1 + && p->sz->dims[0].n % 2 /* ensure r and n/r odd */ + && p->kind[0] == ego->kind + ); + } + + return 0; +} + +static int applicable(const solver *ego_, const problem *p_, + const planner *plnr) +{ + if (NO_UGLYP(plnr)) return 0; /* always ugly */ + if (!applicable0(ego_, p_)) return 0; + + if (NO_LARGE_GENERICP(plnr)) { + const problem_rdft *p = (const problem_rdft *) p_; + if (X(first_divisor)(p->sz->dims[0].n) >= GENERIC_MIN_BAD) return 0; + } + return 1; +} + +static plan *mkplan(const solver *ego, const problem *p_, planner *plnr) +{ + const problem_rdft *p = (const problem_rdft *) p_; + P *pln = 0; + int n, r, m; + int is, os; + plan *cld = (plan *) 0; + problem *cldp; + + static const plan_adt padt = { + X(rdft_solve), awake, print, destroy + }; + + if (!applicable(ego, p_, plnr)) + goto nada; + + n = p->sz->dims[0].n; + is = p->sz->dims[0].is; + os = p->sz->dims[0].os; + + r = X(first_divisor)(n); + m = n / r; + + if (R2HC_KINDP(p->kind[0])) { + cldp = X(mkproblem_rdft_d)(X(mktensor_1d)(m, r * is, os), + X(mktensor_1d)(r, is, m * os), + p->I, p->O, p->kind); + } + else { + cldp = X(mkproblem_rdft_d)(X(mktensor_1d)(m, is, r * os), + X(mktensor_1d)(r, m * is, os), + p->I, p->O, p->kind); + } + if (!(cld = X(mkplan_d)(plnr, cldp))) goto nada; + + pln = MKPLAN_RDFT(P, &padt, R2HC_KINDP(p->kind[0]) ? apply_dit:apply_dif); + + pln->os = R2HC_KINDP(p->kind[0]) ? os : is; + pln->r = r; + pln->m = m; + pln->cld = cld; + pln->td = 0; + pln->kind = p->kind[0]; + + X(ops_zero)(&pln->super.super.ops); + pln->super.super.ops.add = 4 * r * r; + pln->super.super.ops.mul = 4 * r * r; + /* loads + stores, minus loads + stores for all DIT codelets */ + pln->super.super.ops.other = 4 * r + 4 * r * r - (6*r - 2); + X(ops_madd)((m - 1)/2, &pln->super.super.ops, &cld->ops, + &pln->super.super.ops); + pln->super.super.ops.add += 2 * r * r; + pln->super.super.ops.mul += 2 * r * r; + pln->super.super.ops.other += 3 * r + 3 * r * r - 2*r; + + return &(pln->super.super); + + nada: + X(plan_destroy_internal)(cld); + X(ifree0)(pln); + return (plan *) 0; +} + +/* constructors */ + +static solver *mksolver(rdft_kind kind) +{ + static const solver_adt sadt = { mkplan }; + S *slv = MKSOLVER(S, &sadt); + slv->kind = kind; + return &(slv->super); +} + +void X(rdft_generic_register)(planner *p) +{ + REGISTER_SOLVER(p, mksolver(R2HC)); + REGISTER_SOLVER(p, mksolver(HC2R)); +} |