First commit - moving from LuaForge to SourceForge

1 files changed, 344 insertions, 0 deletions

diff --git a/src/fftw3/rdft/dht-rader.c b/src/fftw3/rdft/dht-rader.c
new file mode 100644
index 0000000..b9a2a74
--- /dev/null
+++ b/src/fftw3/rdft/dht-rader.c
@@ -0,0 +1,344 @@
+/*
+ * 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"
+
+/*
+ * Compute DHTs of prime sizes using Rader's trick: turn them
+ * into convolutions of size n - 1, which we then perform via a pair
+ * of FFTs.   (We can then do prime real FFTs via rdft-dht.c.)
+ */
+
+typedef struct {
+     solver super;
+} S;
+
+typedef struct {
+     plan_rdft super;
+
+     plan *cld1, *cld2;
+     R *omega;
+     int n, g, ginv;
+     int is, os;
+     plan *cld_omega;
+} P;
+
+static rader_tl *omegas = 0;
+
+/***************************************************************************/
+
+/* If R2HC_ONLY_CONV is 1, we use a trick to perform the convolution
+   purely in terms of R2HC transforms, as opposed to R2HC followed by H2RC.
+   This requires a few more operations, but allows us to share the same
+   plan/codelets for both Rader children. */
+#define R2HC_ONLY_CONV 1
+
+static void apply(const plan *ego_, R *I, R *O)
+{
+     const P *ego = (const P *) ego_;
+     int r = ego->n;
+     int is = ego->is, os;
+     int k, gpower, g;
+     R *buf, *omega;
+     R r0;
+
+     buf = (R *) MALLOC(sizeof(R) * (r - 1), BUFFERS);
+
+     /* First, permute the input, storing in buf: */
+     g = ego->g; 
+     for (gpower = 1, k = 0; k < r - 1; ++k, gpower = MULMOD(gpower, g, r)) {
+	  buf[k] = I[gpower * is];
+     }
+     /* gpower == g^(r-1) mod r == 1 */;
+
+     os = ego->os;
+
+     /* compute RDFT of buf, storing in output (except DC): */
+     {
+	    plan_rdft *cld = (plan_rdft *) ego->cld1;
+	    cld->apply((plan *) cld, buf, O + os);
+     }
+
+     /* set output DC component: */
+     O[0] = (r0 = I[0]) + O[os];
+
+     /* now, multiply by omega: */
+     omega = ego->omega;
+
+     O[(0 + 1) * os] *= omega[0];
+#if R2HC_ONLY_CONV
+     for (k = 1; k < (r - 1)/2; ++k) {
+	  E rB, iB, rW, iW, a, b;
+	  rW = omega[k];
+	  iW = omega[(r-1) - k];
+	  rB = O[(k + 1) * os];
+	  iB = O[((r-1) - k + 1) * os];
+	  a = rW * rB - iW * iB;
+	  b = rW * iB + iW * rB;
+	  O[(k + 1) * os] = a + b;
+	  O[((r-1) - k + 1) * os] = a - b;
+     }
+#else
+     for (k = 1; k < (r - 1)/2; ++k) {
+	  E rB, iB, rW, iW;
+	  rW = omega[k];
+	  iW = omega[(r-1) - k];
+	  rB = O[(k + 1) * os];
+	  iB = O[((r-1) - k + 1) * os];
+	  O[(k + 1) * os] = rW * rB - iW * iB;
+	  O[((r-1) - k + 1) * os] = rW * iB + iW * rB;
+     }
+#endif
+     /* Nyquist component: */
+     O[(k + 1) * os] *= omega[k]; /* k == (r-1)/2, since r-1 is even */
+     
+     /* this will add input[0] to all of the outputs after the ifft */
+     O[os] += r0;
+
+     /* inverse FFT: */
+     {
+	    plan_rdft *cld = (plan_rdft *) ego->cld2;
+	    cld->apply((plan *) cld, O + os, buf);
+     }
+     
+     /* do inverse permutation to unshuffle the output: */
+     A(gpower == 1);
+#if R2HC_ONLY_CONV
+     O[os] = buf[0];
+     gpower = g = ego->ginv;
+     for (k = 1; k < (r - 1)/2; ++k, gpower = MULMOD(gpower, g, r)) {
+	  O[gpower * os] = buf[k] + buf[r - 1 - k];
+     }
+     O[gpower * os] = buf[k];
+     ++k, gpower = MULMOD(gpower, g, r);
+     for (; k < r - 1; ++k, gpower = MULMOD(gpower, g, r)) {
+	  O[gpower * os] = buf[r - 1 - k] - buf[k];
+     }
+#else
+     g = ego->ginv;
+     for (k = 0; k < r - 1; ++k, gpower = MULMOD(gpower, g, r)) {
+	  O[gpower * os] = buf[k];
+     }
+#endif
+     A(gpower == 1);
+
+     X(ifree)(buf);
+}
+
+static R *mkomega(plan *p_, int n, int ginv)
+{
+     plan_rdft *p = (plan_rdft *) p_;
+     R *omega;
+     int i, gpower;
+     trigreal scale;
+
+     if ((omega = X(rader_tl_find)(n, n, ginv, omegas))) 
+	  return omega;
+
+     omega = (R *)MALLOC(sizeof(R) * (n - 1), TWIDDLES);
+
+     scale = n - 1.0; /* normalization for convolution */
+
+     for (i = 0, gpower = 1; i < n-1; ++i, gpower = MULMOD(gpower, ginv, n)) {
+	  omega[i] = (X(cos2pi)(gpower, n) + X(sin2pi)(gpower, n)) / scale;
+     }
+     A(gpower == 1);
+
+     AWAKE(p_, 1);
+     p->apply(p_, omega, omega);
+     AWAKE(p_, 0);
+
+     X(rader_tl_insert)(n, n, ginv, omega, &omegas);
+     return omega;
+}
+
+static void free_omega(R *omega)
+{
+     X(rader_tl_delete)(omega, &omegas);
+}
+
+/***************************************************************************/
+
+static void awake(plan *ego_, int flg)
+{
+     P *ego = (P *) ego_;
+
+     AWAKE(ego->cld1, flg);
+     AWAKE(ego->cld2, flg);
+
+     if (flg) {
+	  if (!ego->omega) 
+	       ego->omega = mkomega(ego->cld_omega,ego->n,ego->ginv);
+     } else {
+	  free_omega(ego->omega);
+	  ego->omega = 0;
+     }
+}
+
+static void destroy(plan *ego_)
+{
+     P *ego = (P *) ego_;
+     X(plan_destroy_internal)(ego->cld_omega);
+     X(plan_destroy_internal)(ego->cld2);
+     X(plan_destroy_internal)(ego->cld1);
+}
+
+static void print(const plan *ego_, printer *p)
+{
+     const P *ego = (const P *) ego_;
+
+     p->print(p, "(dht-rader-%d%ois=%oos=%(%p%)",
+              ego->n, ego->is, ego->os, ego->cld1);
+     if (ego->cld2 != ego->cld1)
+          p->print(p, "%(%p%)", ego->cld2);
+     if (ego->cld_omega != ego->cld1 && ego->cld_omega != ego->cld2)
+          p->print(p, "%(%p%)", ego->cld_omega);
+     p->putchr(p, ')');
+}
+
+static int applicable0(const problem *p_)
+{
+     if (RDFTP(p_)) {
+          const problem_rdft *p = (const problem_rdft *) p_;
+          return (1
+		  && p->sz->rnk == 1
+		  && p->vecsz->rnk == 0
+		  && p->kind[0] == DHT
+		  && X(is_prime)(p->sz->dims[0].n)
+		  && p->sz->dims[0].n > 2
+	       );
+     }
+
+     return 0;
+}
+
+static int applicable(const solver *ego, const problem *p, const planner *plnr)
+{
+     UNUSED(ego);
+     return (!NO_UGLYP(plnr) && applicable0(p));
+}
+
+static plan *mkplan(const solver *ego_, const problem *p_, planner *plnr)
+{
+     const problem_rdft *p = (const problem_rdft *) p_;
+     P *pln;
+     int n;
+     int is, os;
+     plan *cld1 = (plan *) 0;
+     plan *cld2 = (plan *) 0;
+     plan *cld_omega = (plan *) 0;
+     R *buf = (R *) 0;
+     R *O;
+     problem *cldp;
+
+     static const plan_adt padt = {
+	  X(rdft_solve), awake, print, destroy
+     };
+
+     if (!applicable(ego_, p_, plnr))
+	  return (plan *) 0;
+
+     n = p->sz->dims[0].n;
+     is = p->sz->dims[0].is;
+     os = p->sz->dims[0].os;
+     O = p->O;
+
+     /* initial allocation for the purpose of planning */
+     buf = (R *) MALLOC(sizeof(R) * (n - 1), BUFFERS);
+
+     cld1 = X(mkplan_d)(plnr, 
+			X(mkproblem_rdft_1_d)(X(mktensor_1d)(n - 1, 1, os),
+					      X(mktensor_1d)(1, 0, 0),
+					      buf, 
+					      O + os,
+					      R2HC));
+     if (!cld1) goto nada;
+
+     cldp =
+          X(mkproblem_rdft_1_d)(
+               X(mktensor_1d)(n - 1, os, 1),
+               X(mktensor_1d)(1, 0, 0),
+	       O + os,
+	       buf, 
+#if R2HC_ONLY_CONV
+	       R2HC
+#else
+	       HC2R
+#endif
+	       );
+     if (!(cld2 = X(mkplan_d)(plnr, cldp))) goto nada;
+
+
+     /* plan for omega */
+     plnr->planner_flags |= ESTIMATE;
+     cld_omega = X(mkplan_d)(plnr, 
+			     X(mkproblem_rdft_1_d)(X(mktensor_1d)(n - 1, 1, 1),
+						   X(mktensor_1d)(1, 0, 0),
+						   buf, buf, R2HC));
+     if (!cld_omega) goto nada;
+
+     /* deallocate buffers; let awake() or apply() allocate them for real */
+     X(ifree)(buf);
+     buf = 0;
+
+     pln = MKPLAN_RDFT(P, &padt, apply);
+     pln->cld1 = cld1;
+     pln->cld2 = cld2;
+     pln->cld_omega = cld_omega;
+     pln->omega = 0;
+     pln->n = n;
+     pln->is = is;
+     pln->os = os;
+     pln->g = X(find_generator)(n);
+     pln->ginv = X(power_mod)(pln->g, n - 2, n);
+     A(MULMOD(pln->g, pln->ginv, n) == 1);
+
+     X(ops_add)(&cld1->ops, &cld2->ops, &pln->super.super.ops);
+     pln->super.super.ops.other += (n - 3) * 3 + (n - 2) * 2 + 5;
+     pln->super.super.ops.add += (n - 3) * 1;
+     pln->super.super.ops.mul += (n - 3) * 2 + 2;
+#if R2HC_ONLY_CONV
+     pln->super.super.ops.other += (n - 2) + 4;
+     pln->super.super.ops.add += (n - 3) * 1 + (n - 2) * 1;
+#endif
+
+     return &(pln->super.super);
+
+ nada:
+     X(ifree0)(buf);
+     X(plan_destroy_internal)(cld_omega);
+     X(plan_destroy_internal)(cld2);
+     X(plan_destroy_internal)(cld1);
+     return 0;
+}
+
+/* constructors */
+
+static solver *mksolver(void)
+{
+     static const solver_adt sadt = { mkplan };
+     S *slv = MKSOLVER(S, &sadt);
+     return &(slv->super);
+}
+
+void X(dht_rader_register)(planner *p)
+{
+     REGISTER_SOLVER(p, mksolver());
+}